Field minimum poly (root): x^2 + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1]~, 2, 1, [1, 1]~], [13, [5, 1]~, 1, 1, [-5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m011(1,3) s705(1,2) v3111(-4,1) v3207(1,3) v3210(1,3) 

Field minimum poly (root): x^2 + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1]~, 2, 1, [1, 1]~], [3, [3, 0]~, 1, 2, [1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m304(5,1) m336(-1,3) s942(-2,1) s960(-1,2) 

Field minimum poly (root): x^2 + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1]~, 2, 1, [1, 1]~], [37, [-6, 1]~, 1, 1, [6, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3529(3,1) 

Field minimum poly (root): x^2 + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1]~, 2, 1, [1, 1]~], [5, [-2, 1]~, 1, 1, [2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m293(4,1) s297(-1,3) s572(1,2) s645(-1,2) s682(-3,1) s775(-1,2) s778(-3,1) v3213(-1,3) v3216(4,1) 

Field minimum poly (root): x^2 + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1]~, 2, 1, [1, 1]~], [5, [2, 1]~, 1, 1, [-2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m006(1,3) m009(-5,1) m009(5,1) m010(-2,3) m294(4,1) m312(-1,3) s296(5,1) s350(-4,1) s495(1,2) s595(3,1) s775(-3,1) s779(2,1) v3217(-1,3) v3412(5,1) 

Field minimum poly (root): x^2 + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1]~, 2, 1, [1, 1]~], [7, [7, 0]~, 1, 2, [1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m303(-1,3) 

Field minimum poly (root): x^2 + 1 (1)
Real ramification: []
Finite ramification: [[5, [-2, 1]~, 1, 1, [2, 1]~], [5, [2, 1]~, 1, 1, [-2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m306(5,1) 

Field minimum poly (root): x^2 + 1 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m239(-2,3) s254(-3,2) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[2, [2, 0]~, 1, 2, [1, 0]~], [13, [3, 1]~, 1, 1, [-4, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m159(2,3) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[2, [2, 0]~, 1, 2, [1, 0]~], [3, [1, 1]~, 2, 1, [1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m007(3,1) m010(-4,3) m036(-3,2) m247(-1,3) m358(1,3) m395(-2,3) s440(-1,3) s775(1,2) s778(-3,2) s779(1,2) s787(1,2) v0825(4,1) v2417(-1,3) v2636(2,3) v3210(3,1) v3216(-4,1) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[2, [2, 0]~, 1, 2, [1, 0]~], [5, [5, 0]~, 1, 2, [1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m188(2,3) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[2, [2, 0]~, 1, 2, [1, 0]~], [7, [2, 1]~, 1, 1, [-3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m149(-4,1) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[3, [1, 1]~, 2, 1, [1, 1]~], [13, [-4, 1]~, 1, 1, [3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m015(6,1) s817(-1,2) s818(-1,2) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[3, [1, 1]~, 2, 1, [1, 1]~], [13, [3, 1]~, 1, 1, [-4, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m016(-2,3) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[3, [1, 1]~, 2, 1, [1, 1]~], [37, [10, 1]~, 1, 1, [-11, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m141(-4,3) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[3, [1, 1]~, 2, 1, [1, 1]~], [5, [5, 0]~, 1, 2, [1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m401(-2,3) s912(0,1) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[3, [1, 1]~, 2, 1, [1, 1]~], [61, [-14, 1]~, 1, 1, [13, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2422(1,3) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[3, [1, 1]~, 2, 1, [1, 1]~], [7, [-3, 1]~, 1, 1, [2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m010(4,1) m368(-4,1) m371(-1,3) s705(-3,1) s772(-3,2) s779(-3,2) v3213(-3,1) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[3, [1, 1]~, 2, 1, [1, 1]~], [7, [2, 1]~, 1, 1, [-3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m011(-3,1) m019(3,2) m369(1,3) m370(4,1) s423(-1,3) s424(-4,1) s778(1,2) v3490(-4,1) v3491(-1,3) v3492(-4,1) v3493(-1,3) 

Field minimum poly (root): x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[7, [2, 1]~, 1, 1, [-3, 1]~], [13, [3, 1]~, 1, 1, [-4, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m146(-4,1) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1]~, 1, 1, [1, 1]~], [3, [3, 0]~, 1, 2, [1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3452(3,1) v3453(-3,1) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1]~, 1, 1, [1, 1]~], [7, [3, 1]~, 2, 1, [3, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3377(-3,1) v3378(-3,1) v3390(3,1) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1]~, 1, 1, [1, 1]~], [7, [3, 1]~, 2, 1, [3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m140(-4,1) v3110(3,1) v3147(-3,1) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: [[2, [3, 1]~, 1, 1, [0, 1]~], [2, [0, 1]~, 1, 1, [1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m135(-1,3) m135(1,3) m140(4,1) m168(3,2) v3106(-3,1) v3107(-4,1) v3207(-3,1) v3208(4,1) v3209(4,1) v3210(-3,1) v3261(4,1) v3262(3,1) v3331(-2,3) v3505(-3,1) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: [[2, [3, 1]~, 1, 1, [0, 1]~], [3, [3, 0]~, 1, 2, [1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3217(3,1) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: [[2, [3, 1]~, 1, 1, [0, 1]~], [67, [11, 1]~, 1, 1, [-12, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2721(-2,3) v2913(-3,2) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: [[2, [3, 1]~, 1, 1, [0, 1]~], [7, [3, 1]~, 2, 1, [3, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2668(-2,3) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: [[2, [3, 1]~, 1, 1, [0, 1]~], [7, [3, 1]~, 2, 1, [3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3109(4,1) 

Field minimum poly (root): x^2 - x + 2 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m037(4,3) m040(-4,3) v2574(-1,3) v2575(-1,3) v2576(-5,1) v2683(-2,3) v3214(-3,2) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[13, [2, 1, 0]~, 1, 1, [6, -2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3076(-3,1) v3120(-1,3)* 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[17, [5, 1, 0]~, 1, 1, [-7, -5, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2168(3,2) v2626(1,3)* v2874(4,1) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1]~, 1, 2, [1, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m004(6,1) m160(1,2) m306(-5,1) m307(-1,3) s554(3,1) s594(-3,2)* v2642(5,1) v2643(-2,3) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [1, 1, 1]~], [13, [2, 1, 0]~, 1, 1, [6, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m026(1,4) m117(-4,1) v2919(-1,2)* 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [1, 1, 1]~], [17, [5, 1, 0]~, 1, 1, [-7, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m027(1,4) m140(-1,2)* v3080(1,2) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [1, 1, 1]~], [2, [1, 1, 1]~, 1, 2, [1, 1, 0]~], [13, [2, 1, 0]~, 1, 1, [6, -2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s296(-5,1) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [1, 1, 1]~], [2, [1, 1, 1]~, 1, 2, [1, 1, 0]~], [17, [-8, 1, 0]~, 1, 1, [-2, 8, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s916(-1,3) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [1, 1, 1]~], [2, [1, 1, 1]~, 1, 2, [1, 1, 0]~], [17, [3, 1, 0]~, 1, 1, [-6, -3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2345(5,1)* v2346(5,1)* v2563(5,1) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [1, 1, 1]~], [2, [1, 1, 1]~, 1, 2, [1, 1, 0]~], [17, [5, 1, 0]~, 1, 1, [-7, -5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2640(2,3)* v2641(5,1) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [1, 1, 1]~], [2, [1, 1, 1]~, 1, 2, [1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m136(1,2) v2920(-1,2)* v3066(1,2) v3528(3,1) 

Field minimum poly (root): x^3 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m035(-6,1) m036(-2,3)* m037(2,3) m038(-6,1) m039(6,1)* m120(-4,1)* m130(-3,1) m223(3,1)* m304(-5,1) m305(-1,3) s916(5,1)* v2345(-1,3) v2346(-1,3) v3100(-3,1)* v3106(1,3) v3214(-3,1) v3469(3,1) 

Field minimum poly (root): x^3 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[13, [-6, 1, 0]~, 1, 1, [-2, 6, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m007(4,1) m159(4,1)* m160(3,1) v2018(-4,1)* 

Field minimum poly (root): x^3 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0]~, 1, 3, [1, 0, 0]~], [3, [1, 1, 0]~, 1, 1, [-1, -1, 1]~], [13, [-6, 1, 0]~, 1, 1, [-2, 6, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3091(-2,3)* 

Field minimum poly (root): x^3 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[3, [-1, -1, 1]~, 1, 2, [1, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s118(-4,1)* s119(4,1) s942(1,2) 

Field minimum poly (root): x^3 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[3, [1, 1, 0]~, 1, 1, [-1, -1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m007(3,2) m149(1,2) m161(4,1)* m206(4,1) m207(1,3) s119(-4,1)* s798(4,1)* v2217(-4,1)* v2380(1,3) v2715(-1,2)* v2876(1,2) v2984(-3,1) v3215(1,2)* v3377(-1,2) 

Field minimum poly (root): x^3 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[37, [-12, 1, 0]~, 1, 1, [-3, 12, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s874(4,1) 

Field minimum poly (root): x^3 + x - 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s772(-5,2) s772(3,2)* s775(-5,2) s775(3,2)* s778(-5,2) s778(3,2)* s779(-5,2) s779(3,2)* s787(-5,2) s787(3,2)* 

Field minimum poly (root): x^3 - 2*x - 2 (2)
Real ramification: [1]
Finite ramification: [[13, [5, 1, 0]~, 1, 1, [-3, -5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m400(2,3) 

Field minimum poly (root): x^3 - 2*x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 3, 1, [0, 0, 1]~], [3, [-1, 1, 0]~, 1, 1, [-1, 1, 1]~], [13, [5, 1, 0]~, 1, 1, [-3, -5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m304(-1,3)* 

Field minimum poly (root): x^3 - 2*x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 3, 1, [0, 0, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m303(5,1) m376(3,2) s296(-1,3)* s297(5,1) s784(1,2) 

Field minimum poly (root): x^3 - 2*x - 2 (2)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 0]~, 1, 1, [-1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m306(-1,3)* s299(5,1) s594(-1,3) s594(-3,1)* 

Field minimum poly (root): x^3 - x - 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 0, 1]~], [41, [56, 1, 0]~, 1, 1, [19, -15, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m290(-1,4) 

Field minimum poly (root): x^3 - x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m303(1,3) 

Field minimum poly (root): x^3 - x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0]~, 2, 1, [0, 1, 1]~], [2, [0, 1, 0]~, 1, 1, [1, 0, 1]~], [13, [-6, 1, 0]~, 1, 1, [-4, 6, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m305(-5,1)* 

Field minimum poly (root): x^3 - x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0]~, 2, 1, [0, 1, 1]~], [2, [0, 1, 0]~, 1, 1, [1, 0, 1]~], [13, [3, 1, 0]~, 2, 1, [-5, -3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s297(1,3) 

Field minimum poly (root): x^3 - x - 2 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0]~, 2, 1, [0, 1, 1]~], [2, [0, 1, 0]~, 1, 1, [1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s235(-4,3) s595(1,2) 

Field minimum poly (root): x^3 - x - 2 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0]~, 2, 1, [0, 1, 1]~], [41, [56, 1, 0]~, 1, 1, [19, -15, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s287(-3,1)* s480(3,1)* 

Field minimum poly (root): x^3 - x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0]~, 2, 1, [0, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m293(-2,3)* m390(3,1)* 

Field minimum poly (root): x^3 - x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0]~, 2, 1, [0, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m307(-5,1)* m369(-1,3) m371(1,3)* s298(5,1) s594(1,2)* s594(2,1) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[109, [21, 1, 0]~, 1, 1, [26, -22, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m385(1,4) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[11, [2, 1, 0]~, 1, 1, [-5, -3, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s903(3,2) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[11, [2, 1, 0]~, 1, 1, [-5, -3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s788(-1,3) s789(-5,1) v1539(5,1)* v2573(-3,2)* v2797(2,1)* 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[17, [7, 1, 0]~, 1, 1, [5, -8, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m297(1,3)* s481(-1,3) s645(-2,1) v3145(3,2) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[19, [-3, 1, 0]~, 1, 1, [6, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m003(-3,4) m206(1,2)* v3377(-3,2) v3378(-3,2) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0]~, 1, 3, [1, 0, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m168(3,4)* m262(-3,2) m310(-4,1) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[37, [-17, 1, 0]~, 1, 1, [13, 16, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m142(3,2)* 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[43, [13, 1, 0]~, 1, 1, [10, -14, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m178(-2,3) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[5, [-2, 1, 0]~, 1, 1, [2, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m003(-3,1)* m006(-1,3) m007(5,1)* m009(4,1) m070(1,4) m139(2,3) m221(3,1) m280(1,4) m289(7,1) m369(-3,2) m371(3,2)* s478(-1,2) s479(1,2)* s889(3,2)* v2101(1,2) v2739(1,2) v3136(-1,3) v3387(3,2)* 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[5, [2, 1, 1]~, 1, 2, [-2, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m016(-3,2) v3529(-1,2) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[61, [15, 1, 0]~, 1, 1, [-4, -16, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m019(1,4) s944(-1,2)* 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[7, [-2, 3, 1]~, 1, 2, [3, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m346(-3,2) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[7, [3, 1, 0]~, 1, 1, [-2, 3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m017(-3,2) m069(1,4) m078(-5,1) m082(-1,3) m130(-3,2) m147(3,1) s702(-3,1)* s762(1,4) s763(-1,4)* s764(-4,1)* v2604(1,2) v3043(1,4) v3144(-7,1)* v3181(-3,2)* v3493(1,2) v3519(-1,2) 

Field minimum poly (root): x^3 - x^2 + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m136(3,2) m140(-3,2)* m140(3,2) v3351(3,2) v3375(-3,2)* 

Field minimum poly (root): x^3 - x^2 + 2*x + 1 (2)
Real ramification: [1]
Finite ramification: [[3, [1, 1, 0]~, 1, 1, [1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s784(-1,2)* 

Field minimum poly (root): x^3 - x^2 + 3*x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~], [2, [3, 1, 1]~, 1, 2, [0, 1, 0]~], [5, [2, 1, 0]~, 1, 1, [-1, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m294(2,3) 

Field minimum poly (root): x^3 - x^2 + 3*x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m168(-3,2)* m234(1,3)* 

Field minimum poly (root): x^3 - x^2 + 3*x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 1]~, 1, 2, [0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m304(4,1) 

Field minimum poly (root): x^3 - x^2 + 3*x - 2 (2)
Real ramification: [1]
Finite ramification: [[43, [8, 1, 0]~, 1, 1, [-11, -9, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m210(-3,2) 

Field minimum poly (root): x^3 - x^2 + 3*x - 2 (2)
Real ramification: [1]
Finite ramification: [[5, [-1, 2, 1]~, 1, 2, [2, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m221(4,1) 

Field minimum poly (root): x^3 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[13, [2, 1, 0]~, 1, 1, [-6, -3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m122(-4,1)* m199(-4,1) m303(-3,1)* v1644(-2,3) v2100(-3,1) v2787(-3,1)* 

Field minimum poly (root): x^3 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0]~, 3, 1, [1, 0, 1]~], [7, [-2, 1, 0]~, 1, 1, [3, 1, 1]~], [13, [2, 1, 0]~, 1, 1, [-6, -3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s823(6,1) 

Field minimum poly (root): x^3 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0]~, 3, 1, [1, 0, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m003(-5,4) m006(3,1)* m141(4,1) m146(-2,3) m148(6,1) m149(-2,3) m159(-2,3) m188(4,1)* m206(3,2)* m249(1,2)* s254(-3,1)* s479(-3,1) s821(2,3)* s916(-3,2) s957(1,2) s960(1,2) v2099(-4,1)* v2101(3,1)* 

Field minimum poly (root): x^3 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[7, [-2, 1, 0]~, 1, 1, [3, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m123(-4,1)* m304(-3,1) m322(1,2) 

Field minimum poly (root): x^3 - x^2 + x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m136(2,3) m136(6,1)* m140(-2,3)* m140(-6,1) m140(2,3) m140(6,1)* s718(-2,3)* 

Field minimum poly (root): x^3 - x^2 + x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: v1368(2,3) 

Field minimum poly (root): x^3 - x^2 + x + 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~], [2, [1, 1, 1]~, 1, 2, [0, 1, 0]~], [3, [-1, 1, 0]~, 1, 1, [1, 0, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3106(3,1) 

Field minimum poly (root): x^3 - x^2 + x + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~], [3, [-1, 1, 0]~, 1, 1, [1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3102(-1,3)* v3103(4,1) 

Field minimum poly (root): x^3 - x^2 + x + 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2959(-3,1) v3077(5,1) 

Field minimum poly (root): x^3 - x^2 + x + 2 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 1]~, 1, 2, [0, 1, 0]~], [3, [-1, 1, 0]~, 1, 1, [1, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3110(-3,1)* 

Field minimum poly (root): x^3 - x^2 + x + 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1]~, 1, 2, [0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3505(3,1) 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~], [13, [6, 1, 0]~, 1, 1, [4, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2209(3,1)* v2380(3,1) v3210(-2,1) 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~], [2, [1, 1, 1]~, 1, 2, [0, 1, 0]~], [5, [1, 1, 0]~, 1, 1, [-2, -2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s772(3,1)* s775(3,1)* s778(-4,1) s779(3,1)* s787(3,1)* 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~], [5, [1, 1, 0]~, 1, 1, [-2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s819(-4,1)* v1125(-4,3) 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 1, 1, [1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s772(-4,1) s773(3,1) s775(-4,1) s778(3,1)* s779(-4,1) s781(-4,1)* s786(3,1) s861(3,1)* s869(-1,2) v2101(-1,3) 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 1]~, 1, 2, [0, 1, 0]~], [41, [12, 1, 0]~, 1, 1, [-7, -13, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2641(3,1) 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1]~, 1, 2, [0, 1, 0]~], [5, [1, 1, 0]~, 1, 1, [-2, -2, 1]~], [13, [6, 1, 0]~, 1, 1, [4, 6, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s649(1,3)* 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1]~, 1, 2, [0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2642(3,1) 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1]~, 1, 2, [0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m034(-3,2) v2910(1,2)* 

Field minimum poly (root): x^3 - x^2 + x - 2 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s645(-1,3) s646(-1,3) 

Field minimum poly (root): x^3 - x^2 - 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0]~, 2, 1, [0, 1, 1]~], [19, [-9, 1, 0]~, 1, 1, [-4, 8, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s881(-1,3) 

Field minimum poly (root): x^3 - x^2 - 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0]~, 2, 1, [0, 1, 1]~], [2, [3, 1, 0]~, 1, 1, [0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s915(3,1) 

Field minimum poly (root): x^3 - x^2 - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0]~, 2, 1, [0, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s773(-1,3)* s777(-5,1)* s781(-2,3) s786(-1,3)* s924(3,1)* v1408(4,1) v2787(1,2)* 

Field minimum poly (root): x^3 - x^2 - 2 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [0, 0, 1]~], [19, [-9, 1, 0]~, 1, 1, [-4, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s595(-1,3) s595(5,1)* 

Field minimum poly (root): x^3 - x^2 - 2 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [0, 0, 1]~], [7, [2, 1, 0]~, 1, 1, [-1, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s595(1,3)* 

Field minimum poly (root): x^3 - x^2 - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0]~, 1, 1, [0, 0, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s734(4,1) s915(-3,1)* v2787(-1,2) 

Field minimum poly (root): x^3 - x^2 - 2 (2)
Real ramification: []
Finite ramification: [[7, [2, 1, 0]~, 1, 1, [-1, -3, 1]~], [19, [-9, 1, 0]~, 1, 1, [-4, 8, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s595(-5,1) 

Field minimum poly (root): x^4 + 2*x^2 - 2*x + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 4, 1, [1, 1, 1, 1]~], [3, [1, 1, 0, 0]~, 1, 1, [1, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(2,3)* 

Field minimum poly (root): x^4 + 2*x^2 - x - 1 (3)
Real ramification: [2]
Finite ramification: [[67, [-14, 1, 0, 0]~, 1, 1, [24, -3, 14, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3489(2,3)* 

Field minimum poly (root): x^4 + x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [29, [-14, 1, 0, 0]~, 1, 1, [2, -6, 14, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m293(-4,1) m294(4,3)* 

Field minimum poly (root): x^4 + x^2 - x + 1 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m010(-1,3) m368(4,1) m369(3,1)* m370(-4,1)* s313(-2,3)* s554(1,3) 

Field minimum poly (root): x^4 + x^2 - x + 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [13, [6, 1, 0, 0]~, 1, 1, [-2, -2, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m140(5,2)* 

Field minimum poly (root): x^4 + x^2 - x + 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [19, [-5, 1, 0, 0]~, 1, 1, [-4, 7, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s855(3,2) 

Field minimum poly (root): x^4 + x^2 - x + 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [2, [1, 0, 1, 1]~, 1, 3, [1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m136(5,2)* 

Field minimum poly (root): x^4 + x^2 - x + 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [233, [72, 1, 0, 0]~, 1, 1, [-55, 59, -72, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m140(-5,2) 

Field minimum poly (root): x^4 + x^2 - x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2050(4,1)* v3404(1,3) 

Field minimum poly (root): x^4 + x^2 - x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s594(-3,4)* s594(-4,3) 

Field minimum poly (root): x^4 + x^2 - x + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 1, 0, 1]~], [5, [-2, 1, 0, 0]~, 3, 1, [-1, 0, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s789(5,1) v1539(-5,1)* 

Field minimum poly (root): x^4 + x^2 - x + 2 (2)
Real ramification: []
Finite ramification: [[3, [-1, 1, 0, 0]~, 1, 1, [1, -1, 1, 1]~], [5, [-2, 1, 0, 0]~, 3, 1, [-1, 0, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s788(-5,1)* v1540(5,1) 

Field minimum poly (root): x^4 - 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[11, [-2, 1, 0, 0]~, 1, 1, [-5, 4, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s772(2,3)* s775(2,3)* s778(-5,3) s779(2,3)* s787(2,3)* v1721(3,4) v2265(4,1) v2874(1,2) v3377(1,2)* 

Field minimum poly (root): x^4 - 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[19, [2, 1, 0, 0]~, 1, 1, [9, 4, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2201(4,1)* v3200(-3,1) 

Field minimum poly (root): x^4 - 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0]~, 4, 1, [1, 1, 1, 1]~], [11, [-2, 1, 0, 0]~, 1, 1, [-5, 4, 2, 1]~], [19, [2, 1, 0, 0]~, 1, 1, [9, 4, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s772(-5,3) s775(-5,3) s778(2,3)* s779(-5,3) s787(-5,3) 

Field minimum poly (root): x^4 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0]~, 4, 1, [1, 1, 1, 1]~], [13, [-4, 1, 0, 0]~, 1, 1, [-3, 3, 4, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m022(4,3) 

Field minimum poly (root): x^4 - 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[373, [-117, 1, 0, 0]~, 1, 1, [-51, -112, 117, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s828(-4,3)* v2604(3,2)* v3209(1,2) 

Field minimum poly (root): x^4 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m019(3,4)* s944(-3,2) 

Field minimum poly (root): x^4 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: v2238(-5,1) 

Field minimum poly (root): x^4 - 2*x^3 + 2 (1)
Real ramification: []
Finite ramification: [[5, [1, 1, 0, 0]~, 2, 1, [2, -2, 2, 1]~], [17, [2, 1, 0, 0]~, 1, 1, [1, 8, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1859(-4,1) v1859(1,4) 

Field minimum poly (root): x^4 - 2*x^3 + 2 (1)
Real ramification: []
Finite ramification: [[5, [1, 1, 0, 0]~, 2, 1, [2, -2, 2, 1]~], [29, [-8, 1, 0, 0]~, 1, 1, [7, -10, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m135(-1,4)* m135(1,4) 

Field minimum poly (root): x^4 - 2*x^3 + 2 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1859(-1,4)* v1859(4,1)* 

Field minimum poly (root): x^4 - 2*x^3 + 3*x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0]~, 2, 2, [1, 1, 1, 0]~], [5, [1, 1, 0, 0]~, 1, 1, [-1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m286(-5,1)* 

Field minimum poly (root): x^4 - 2*x^3 + 3*x^2 - 1 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 1, 0]~, 2, 2, [1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(-3,2) 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0]~, 2, 2, [1, 1, 1, 0]~], [17, [-7, 1, 0, 0]~, 1, 1, [-5, 2, 5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s741(-1,3) 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 2*x + 1 (3)
Real ramification: [2]
Finite ramification: [[41, [2, 1, 0, 0]~, 1, 1, [-20, 9, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m010(3,2) s455(3,2) 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[7, [1, 1, 0, 0]~, 2, 1, [1, -3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s777(-4,1) 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 2*x + 1 (3)
Real ramification: [2]
Finite ramification: [[7, [1, 1, 0, 0]~, 2, 1, [1, -3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s566(2,3) v0819(3,2) 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m016(-4,1) s490(-4,1) s500(4,1) s897(-1,2) v2203(-1,2) v2334(-1,2) v2678(2,1) 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 3*x + 1 (3)
Real ramification: [1]
Finite ramification: [[101, [28, 1, 0, 0]~, 1, 1, [-18, 33, -30, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3470(1,3)* 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 3*x + 1 (3)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [89, [30, 1, 0, 0]~, 1, 1, [3, -18, -32, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(-5,1)* v3453(-1,3)* 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 3*x + 1 (3)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3454(-1,3)* 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - 3*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3469(1,3)* 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [13, [4, 1, 0, 0]~, 1, 1, [3, -1, -6, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3214(1,3) v3215(-4,1)* 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [5, [-2, -2, 1, 0]~, 1, 2, [-2, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3259(-1,3)* 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3277(-2,3) 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - x - 1 (3)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m081(-4,1)* m116(-4,1)* s424(-2,3) v3262(-1,3)* 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s850(-3,1) 

Field minimum poly (root): x^4 - 2*x^3 + x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m130(-1,3)* m130(3,1)* s915(1,2) 

Field minimum poly (root): x^4 - 2*x^3 - x + 4 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0]~, 1, 2, [0, 1, 1, 0]~], [7, [-3, 1, 0, 0]~, 1, 1, [1, 3, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s595(4,1)* 

Field minimum poly (root): x^4 - 2*x^3 - x + 4 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [0, 1, 1, 1]~], [2, [2, 1, 0, 0]~, 1, 1, [1, 0, 0, 1]~], [7, [-3, 1, 0, 0]~, 1, 1, [1, 3, 1, 1]~], [41, [-11, 1, 0, 0]~, 1, 1, [-19, 17, 9, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s595(-4,1) 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x + 2 (1)
Real ramification: []
Finite ramification: [[13, [-3, 1, 0, 0]~, 1, 1, [-5, 2, 1, 1]~], [13, [2, 1, 0, 0]~, 1, 1, [1, -6, -4, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3207(5,1)* v3208(4,3)* v3209(4,3)* v3210(5,1)* 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 0, 1]~], [29, [35, 1, 0, 0]~, 1, 1, [10, -11, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m135(-2,3)* m135(2,3) 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 0, 1]~], [41, [-13, 1, 0, 0]~, 1, 1, [3, 19, 11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3217(-5,1) 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [0, 0, 1, 1]~], [2, [0, 1, 0, 0]~, 2, 1, [0, 1, 0, 1]~], [13, [-3, 1, 0, 0]~, 1, 1, [-5, 2, 1, 1]~], [17, [7, 1, 0, 0]~, 1, 1, [-7, -6, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3387(-2,3)* 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [0, 0, 1, 1]~], [2, [0, 1, 0, 0]~, 2, 1, [0, 1, 0, 1]~], [17, [7, 1, 0, 0]~, 1, 1, [-7, -6, 8, 1]~], [29, [35, 1, 0, 0]~, 1, 1, [10, -11, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3212(4,3)* v3213(-5,1) 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [0, 0, 1, 1]~], [2, [0, 1, 0, 0]~, 2, 1, [0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1859(-2,3)* v1859(-3,2) v1859(2,3) v1859(3,2)* v3431(3,2)* 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3208(2,3) v3209(2,3) 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [0, 0, 1, 1]~], [2, [0, 1, 0, 0]~, 2, 1, [0, 1, 0, 1]~], [23, [11, 1, 0, 0]~, 2, 1, [4, 4, 10, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3212(2,3) 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [0, 0, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3313(3,1) 

Field minimum poly (root): x^4 - 2*x^3 - x^2 + 2*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3216(-6,1) 

Field minimum poly (root): x^4 - 3*x^2 + 4 (1)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 1]~, 2, 1, [1, 2, 1, 1]~], [2, [1, 1, 0, 0]~, 2, 1, [0, 1, 1, 0]~], [3, [-1, -1, 1, 0]~, 1, 2, [-1, 1, 1, 0]~], [3, [-1, 1, 1, 0]~, 1, 2, [-1, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1859(-1,3) v1859(3,1) 

Field minimum poly (root): x^4 - 3*x^2 + 4 (1)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 1]~, 2, 1, [1, 2, 1, 1]~], [2, [1, 1, 0, 0]~, 2, 1, [0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1859(-3,1) v1859(1,3) 

Field minimum poly (root): x^4 - 4*x^2 - 2*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0]~, 4, 1, [0, 0, 0, 1]~], [3, [-1, 1, 0, 0]~, 2, 1, [1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s958(1,2) 

Field minimum poly (root): x^4 - 4*x^2 - 2*x + 2 (3)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 0, 0]~, 2, 1, [1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s594(1,3)* s594(3,1) 

Field minimum poly (root): x^4 - 5*x^2 - 4 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 1]~, 2, 1, [1, 2, 2, 1]~], [2, [0, 0, 1, 0]~, 1, 1, [2, 2, 1, 1]~], [2, [1, 1, 1, 1]~, 1, 1, [2, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(-1,2) 

Field minimum poly (root): x^4 - 5*x^2 - 4 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 1]~, 2, 1, [1, 2, 2, 1]~], [2, [0, 0, 1, 0]~, 1, 1, [2, 2, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s479(-5,1) 

Field minimum poly (root): x^4 - 5*x^2 - 4 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 1]~, 2, 1, [1, 2, 2, 1]~], [2, [1, 1, 1, 1]~, 1, 1, [2, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s478(5,1) 

Field minimum poly (root): x^4 - 5*x^2 - 4 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 1]~, 2, 1, [1, 2, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m389(-5,1) 

Field minimum poly (root): x^4 - x + 1 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s784(3,2)* 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[11, [-3, 1, 0, 0]~, 1, 1, [4, -2, 3, 1]~], [13, [-2, 1, 0, 0]~, 1, 1, [-6, 4, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2018(2,3) v2771(-4,1) 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: []
Finite ramification: [[13, [-2, 1, 0, 0]~, 1, 1, [-6, 4, 2, 1]~], [17, [2, 1, 0, 0]~, 1, 1, [8, 4, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m293(4,3)* m294(-4,1) 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: [1]
Finite ramification: [[17, [2, 1, 0, 0]~, 1, 1, [8, 4, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m339(-2,3)* 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: []
Finite ramification: [[17, [5, 1, 0, 0]~, 1, 1, [-7, 8, -5, 1]~], [89, [-43, 1, 0, 0]~, 1, 1, [29, -20, 43, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3243(-4,1)* v3244(4,3) v3246(4,3) v3247(4,1) 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: [1]
Finite ramification: [[17, [5, 1, 0, 0]~, 1, 1, [-7, 8, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3377(2,3) v3378(2,3) 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 0, 0]~, 1, 4, [1, 0, 0, 0]~], [17, [5, 1, 0, 0]~, 1, 1, [-7, 8, -5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s855(-3,2)* 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[7, [-3, 1, 0, 0]~, 1, 1, [-2, 2, 3, 1]~], [11, [-3, 1, 0, 0]~, 1, 1, [4, -2, 3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2573(-1,3)* 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[7, [-3, 1, 0, 0]~, 1, 1, [-2, 2, 3, 1]~], [13, [-2, 1, 0, 0]~, 1, 1, [-6, 4, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m139(-2,3)* m139(3,2)* v3431(-2,3)* 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[7, [-3, 1, 0, 0]~, 1, 1, [-2, 2, 3, 1]~], [17, [2, 1, 0, 0]~, 1, 1, [8, 4, -2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m358(3,1)* 

Field minimum poly (root): x^4 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m003(-2,3) m006(2,3) m017(-1,3)* m130(-2,3)* m130(3,2)* m189(-5,2)* s543(5,2) s650(-1,3)* s874(-2,3)* s933(-2,3) v3215(3,1)* 

Field minimum poly (root): x^4 - x^2 + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0]~, 2, 2, [1, 1, 1, 0]~], [109, [8, 1, 0, 0]~, 1, 1, [41, -46, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m360(-2,3) 

Field minimum poly (root): x^4 - x^2 + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0]~, 2, 2, [1, 1, 1, 0]~], [13, [2, 1, 0, 0]~, 1, 1, [-6, 3, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m350(-1,3) 

Field minimum poly (root): x^4 - x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0]~, 2, 2, [1, 1, 1, 0]~], [11, [-2, 1, 0, 0]~, 1, 1, [-5, 3, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m400(4,1) s648(-5,1) 

Field minimum poly (root): x^4 - x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: s921(-3,1) 

Field minimum poly (root): x^4 - x^2 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0]~, 2, 2, [1, 1, 1, 0]~], [3, [1, 1, 0, 0]~, 1, 1, [1, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m207(-1,3) 

Field minimum poly (root): x^4 - x^2 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: v3477(4,1) 

Field minimum poly (root): x^4 - x^2 - 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [5, [-2, 1, 0, 0]~, 2, 1, [-2, -2, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3490(4,3) v3491(5,1) v3492(4,3) v3493(5,1) 

Field minimum poly (root): x^4 - x^2 - 3*x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2530(3,1) v2836(1,2)* v3210(-1,2)* 

Field minimum poly (root): x^4 - x^2 - 3*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s772(1,3)* s775(1,3)* s778(-4,3) s779(1,3)* s787(1,3)* s872(-2,3)* s882(4,1) 

Field minimum poly (root): x^4 - x^2 - 3*x - 2 (3)
Real ramification: [1]
Finite ramification: [[3, [1, 0, 1, 0]~, 2, 2, [1, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3128(1,2) 

Field minimum poly (root): x^4 - x^2 - 3*x - 2 (3)
Real ramification: []
Finite ramification: [[5, [-1, 1, 0, 0]~, 1, 1, [2, 0, 1, 1]~], [113, [48, 1, 0, 0]~, 1, 1, [-33, 43, -48, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2202(4,1)* v2203(-4,1) 

Field minimum poly (root): x^4 - x^2 - 3*x - 2 (3)
Real ramification: [2]
Finite ramification: [[5, [-1, 1, 0, 0]~, 1, 1, [2, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s772(-4,3) s773(-5,1) s775(-4,3) s778(1,3)* s779(-4,3) s781(4,1)* s786(-5,1) s787(-4,3) 

Field minimum poly (root): x^4 - x^2 - 3*x - 2 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m015(8,1)* s897(-4,1) s900(-4,1) 

Field minimum poly (root): x^4 - x^2 - 3*x - 2 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m034(3,2) v3184(3,1) 

Field minimum poly (root): x^4 - x^3 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 0, 0]~, 1, 4, [1, 0, 0, 0]~], [3, [-1, -1, 1, 0]~, 1, 2, [1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2099(-3,2) 

Field minimum poly (root): x^4 - x^3 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[5, [-2, 2, 1, 0]~, 2, 2, [-2, 2, 1, 0]~], [11, [-2, 1, 0, 0]~, 2, 1, [-5, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v1251(4,3) 

Field minimum poly (root): x^4 - x^3 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[5, [-2, 2, 1, 0]~, 2, 2, [-2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2221(-3,2) 

Field minimum poly (root): x^4 - x^3 + 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[61, [-8, 1, 0, 0]~, 1, 1, [23, -5, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2254(-3,2) 

Field minimum poly (root): x^4 - x^3 + 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[71, [-29, 1, 0, 0]~, 1, 1, [-22, 31, 28, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s666(-4,3) 

Field minimum poly (root): x^4 - x^3 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[71, [-34, 1, 0, 0]~, 1, 1, [23, -14, 33, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1727(3,1) v2203(-3,2) 

Field minimum poly (root): x^4 - x^3 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m016(-4,3) m017(-4,3) s850(1,3) s890(3,2) s897(-3,2) s900(-3,2) v2051(3,2) v2413(-3,2) v3318(-1,2) v3318(2,1) 

Field minimum poly (root): x^4 - x^3 + 2*x^2 + x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [2, [3, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~], [29, [8, 1, 0, 0]~, 1, 1, [-11, -13, -9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3214(-4,3)* 

Field minimum poly (root): x^4 - x^3 + 2*x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [2, [3, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m148(-3,2) 

Field minimum poly (root): x^4 - x^3 + 2*x^2 + x - 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [29, [8, 1, 0, 0]~, 1, 1, [-11, -13, -9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3377(-4,1)* v3378(-4,1)* 

Field minimum poly (root): x^4 - x^3 + 2*x^2 + x - 1 (3)
Real ramification: [2]
Finite ramification: [[29, [8, 1, 0, 0]~, 1, 1, [-11, -13, -9, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3386(1,3) 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0]~, 1, 1, [-1, 1, 1, 1]~], [13, [4, 1, 0, 0]~, 1, 1, [3, -4, -5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s645(3,4)* s646(3,4)* 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: s649(-3,4) s899(1,2)* v1241(1,4)* v2218(-4,1)* v2238(-1,2) v3517(2,1) 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - 2*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 3, 1, [0, 0, 1, 1]~], [2, [3, 1, 0, 0]~, 1, 1, [0, 0, 0, 1]~], [7, [-2, 1, 0, 0]~, 1, 1, [-1, -3, 1, 1]~], [19, [2, 1, 0, 0]~, 1, 1, [1, 8, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s772(-5,1) s775(-5,1) s778(4,1)* s779(-5,1) s787(-5,1) 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - 2*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 3, 1, [0, 0, 1, 1]~], [2, [3, 1, 0, 0]~, 1, 1, [0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s817(-1,3) s818(-1,3) s819(-5,1) v1638(-5,1) 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - 2*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0]~, 1, 1, [0, 0, 0, 1]~], [43, [35, 1, 0, 0]~, 1, 1, [-11, 15, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2420(-3,1)* v3208(3,1)* v3209(3,1)* 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - 2*x + 2 (1)
Real ramification: []
Finite ramification: [[7, [-2, 1, 0, 0]~, 1, 1, [-1, -3, 1, 1]~], [19, [2, 1, 0, 0]~, 1, 1, [1, 8, -3, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s889(-1,3)* s890(-4,1)* 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - 2*x + 2 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s772(4,1)* s773(1,3)* s775(4,1)* s778(-5,1) s779(4,1)* s781(-4,3) s786(1,3)* s787(4,1)* 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - 3*x + 2 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3517(3,1) 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - x + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [3, [-1, 1, 0, 0]~, 1, 1, [1, -1, 0, 1]~], [7, [1, 1, 0, 0]~, 1, 1, [2, -3, -2, 1]~], [17, [-8, 1, 0, 0]~, 2, 1, [4, 7, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m140(-5,1)* 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - x + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [3, [-1, 1, 0, 0]~, 1, 1, [1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m136(5,1) 

Field minimum poly (root): x^4 - x^3 + 2*x^2 - x + 2 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m140(5,1) 

Field minimum poly (root): x^4 - x^3 + 3*x - 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [2, [1, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(-3,2)* v2789(3,2) 

Field minimum poly (root): x^4 - x^3 + 3*x - 1 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3187(-4,1)* 

Field minimum poly (root): x^4 - x^3 + 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(3,2) v2789(-3,2)* 

Field minimum poly (root): x^4 - x^3 + 3*x^2 - 3*x + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 1, 1, 1]~], [19, [8, 1, 0, 0]~, 1, 1, [5, -1, -9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1963(4,1) v3077(-3,1)* 

Field minimum poly (root): x^4 - x^3 + 3*x^2 - 3*x + 2 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 3, 1, [0, 1, 0, 1]~], [2, [0, 1, 0, 0]~, 1, 1, [1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2877(4,1)* 

Field minimum poly (root): x^4 - x^3 + x + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [11, [-2, 1, 0, 0]~, 1, 1, [5, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m234(-1,3)* m235(-4,1)* 

Field minimum poly (root): x^4 - x^3 + x + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [2, [1, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(-4,1)* 

Field minimum poly (root): x^4 - x^3 + x + 1 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s719(7,1) v1373(-2,3) 

Field minimum poly (root): x^4 - x^3 + x - 2 (3)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [5, [2, 1, 0, 0]~, 1, 1, [-1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m293(2,3) 

Field minimum poly (root): x^4 - x^3 + x^2 + x - 1 (3)
Real ramification: [1]
Finite ramification: [[113, [17, 1, 0, 0]~, 1, 1, [-20, -32, -18, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m038(-5,2)* 

Field minimum poly (root): x^4 - x^3 + x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[13, [-2, 1, 0, 0]~, 1, 1, [-6, 3, 1, 1]~], [17, [-8, 1, 0, 0]~, 1, 1, [-2, 6, 7, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s884(-4,1)* 

Field minimum poly (root): x^4 - x^3 + x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 0, 0]~, 1, 4, [1, 0, 0, 0]~], [5, [7, 1, 0, 0]~, 1, 1, [2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m149(5,1) 

Field minimum poly (root): x^4 - x^3 + x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[5, [7, 1, 0, 0]~, 1, 1, [2, 2, 2, 1]~], [13, [-2, 1, 0, 0]~, 1, 1, [-6, 3, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s900(-5,1)* 

Field minimum poly (root): x^4 - x^3 + x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[5, [7, 1, 0, 0]~, 1, 1, [2, 2, 2, 1]~], [13, [-3, 1, 0, 0]~, 1, 1, [-4, -6, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2229(-5,1)* v2230(5,1) 

Field minimum poly (root): x^4 - x^3 + x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[5, [7, 1, 0, 0]~, 1, 1, [2, 2, 2, 1]~], [19, [-6, 1, 0, 0]~, 1, 1, [-3, -7, 5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s254(5,1) 

Field minimum poly (root): x^4 - x^3 + x^2 + x - 1 (3)
Real ramification: [1]
Finite ramification: [[5, [7, 1, 0, 0]~, 1, 1, [2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m032(6,1) m033(-2,3) v2402(3,2) 

Field minimum poly (root): x^4 - x^3 + x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m003(-4,3)* m036(-5,1)* m070(-3,1) m146(5,1) m400(4,3) s897(-5,1)* v2202(5,1) v2203(-5,1)* v3438(-3,1) 

Field minimum poly (root): x^4 - x^3 + x^2 - 3*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: s663(1,2)* 

Field minimum poly (root): x^4 - x^3 + x^2 - x + 1 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3505(7,1) 

Field minimum poly (root): x^4 - x^3 + x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0]~, 1, 1, [-1, 0, 1, 1]~], [7, [3, 1, 0, 0]~, 1, 1, [2, -1, 3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m130(-4,1)* m130(1,4)* 

Field minimum poly (root): x^4 - x^3 + x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m139(-4,1)* m139(1,4)* m155(1,3) m373(-1,2)* 

Field minimum poly (root): x^4 - x^3 - 2*x + 1 (3)
Real ramification: [2]
Finite ramification: [[137, [-11, 1, 0, 0]~, 1, 1, [-25, -27, 10, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m247(-1,4)* 

Field minimum poly (root): x^4 - x^3 - 2*x + 1 (3)
Real ramification: [2]
Finite ramification: [[31, [7, 1, 0, 0]~, 1, 1, [9, -6, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s118(5,2) s119(-5,2)* 

Field minimum poly (root): x^4 - x^3 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[5, [-2, 1, 0, 0]~, 1, 1, [2, 2, 1, 1]~], [7, [4, 1, 0, 0]~, 1, 1, [2, -1, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s118(-5,2)* s119(5,2) 

Field minimum poly (root): x^4 - x^3 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m206(5,2) s663(-3,1) 

Field minimum poly (root): x^4 - x^3 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: s928(4,1)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + 3*x + 1 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [2, [1, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~], [13, [-6, 1, 0, 0]~, 1, 1, [2, 2, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(-3,2)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + 3*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [2, [1, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m389(3,1)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + 3*x + 1 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(-5,1)* m262(-1,3)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + 3*x + 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [3, [-1, 1, 0, 0]~, 2, 1, [1, 1, 0, 1]~], [3, [-1, 1, 1, 0]~, 1, 2, [1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3505(5,1)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + 3*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [67, [-22, 1, 0, 0]~, 1, 1, [6, -9, 21, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3490(-3,1)* v3492(-3,1)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + 3*x + 2 (3)
Real ramification: []
Finite ramification: [[3, [-1, 1, 0, 0]~, 2, 1, [1, 1, 0, 1]~], [3, [-1, 1, 1, 0]~, 1, 2, [1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3243(4,1) v3244(4,1)* v3246(4,1)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + 3*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0]~, 2, 1, [1, 1, 0, 1]~], [47, [23, 1, 0, 0]~, 1, 1, [-4, -14, 23, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2944(-5,2) 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + x + 3 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [2, [3, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~], [3, [0, 1, 0, 0]~, 1, 1, [1, 1, -1, 1]~], [5, [-2, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s595(3,2) 

Field minimum poly (root): x^4 - x^3 - 2*x^2 + x + 3 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [3, [0, 1, 0, 0]~, 1, 1, [1, 1, -1, 1]~], [5, [-2, 1, 0, 0]~, 1, 1, [1, 0, 1, 1]~], [17, [2, 1, 0, 0]~, 1, 1, [-7, 4, -3, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s595(-3,2)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - 3*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 0]~, 1, 2, [1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2911(4,1)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - 3*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~], [5, [-2, 1, 0, 0]~, 1, 1, [1, 0, 1, 2]~], [7, [-3, 1, 0, 0]~, 1, 1, [1, -3, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2281(4,1)* v2914(2,3)* 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - 3*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2422(3,1) 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - x + 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [103, [-50, 1, 0, 0]~, 1, 1, [35, -24, 49, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3213(1,3) 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - x + 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [103, [35, 1, 0, 0]~, 1, 1, [-50, 22, -36, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3212(-4,1) 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - x + 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~], [2, [1, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3217(1,3) 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0]~, 2, 1, [1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3207(-1,3) v3208(-4,1) v3209(-4,1) v3210(-1,3) v3469(-3,1) 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - x + 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0]~, 1, 2, [1, 0, 1, 0]~], [3, [3, 0, 0, 0]~, 1, 4, [1, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m082(1,3) 

Field minimum poly (root): x^4 - x^3 - 2*x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: v3183(-3,2) 

Field minimum poly (root): x^4 - x^3 - 3*x^2 + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 1, 1]~], [2, [3, 1, 1, 0]~, 1, 2, [0, 0, 1, 0]~], [7, [2, 1, 0, 0]~, 1, 1, [1, 3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s772(-1,3) s775(-1,3) s778(-2,3)* s779(-1,3) s787(-1,3) 

Field minimum poly (root): x^4 - x^3 - 3*x^2 + 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 1, 1]~], [2, [3, 1, 1, 0]~, 1, 2, [0, 0, 1, 0]~], [7, [2, 1, 0, 0]~, 1, 1, [1, 3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3077(3,1) 

Field minimum poly (root): x^4 - x^3 - 3*x^2 + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 1, 1]~], [2, [3, 1, 1, 0]~, 1, 2, [0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m038(4,1)* v2642(-4,1)* 

Field minimum poly (root): x^4 - x^3 - 3*x^2 + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 1, 1]~], [7, [2, 1, 0, 0]~, 1, 1, [1, 3, -3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s745(3,2) v2641(-4,1)* 

Field minimum poly (root): x^4 - x^3 - 3*x^2 + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s772(-2,3)* s775(-2,3)* s777(5,1)* s778(-1,3) s779(-2,3)* s787(-2,3)* 

Field minimum poly (root): x^4 - x^3 - 3*x^2 + 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0]~, 2, 1, [0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s806(-3,1) v2874(3,1)* 

Field minimum poly (root): x^4 - x^3 - 3*x^2 + 2 (3)
Real ramification: [2]
Finite ramification: [[7, [2, 1, 0, 0]~, 1, 1, [1, 3, -3, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s659(-4,1)* s907(-3,2)* v2553(-4,1) 

Field minimum poly (root): x^4 - x^3 - x^2 + 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0]~, 1, 1, [-1, 1, 1, 1]~], [13, [2, 1, 0, 0]~, 1, 1, [6, 5, -3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s899(-5,1) s900(-1,3) 

Field minimum poly (root): x^4 - x^3 - x^2 + 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0]~, 1, 1, [-1, 1, 1, 1]~], [5, [2, -1, 1, 0]~, 1, 2, [2, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2203(-1,3) 

Field minimum poly (root): x^4 - x^3 - x^2 + 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0]~, 1, 1, [-1, 1, 1, 1]~], [5, [2, 0, 1, 0]~, 1, 2, [2, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2238(3,2) v3492(1,2)* 

Field minimum poly (root): x^4 - x^3 - x^2 + 3*x - 1 (3)
Real ramification: [2]
Finite ramification: [[3, [1, 1, 0, 0]~, 1, 1, [-1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s884(4,1)* 

Field minimum poly (root): x^4 - x^3 - x^2 + 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m029(-3,2)* m036(3,2) m207(1,2) s897(-1,3) 

Field minimum poly (root): x^4 - x^3 - x^2 + 3*x - 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: v2202(1,3)* 

Field minimum poly (root): x^4 - x^3 - x^2 + x + 1 (1)
Real ramification: []
Finite ramification: [[7, [-2, 1, 0, 0]~, 1, 1, [3, 1, 1, 1]~], [151, [62, 1, 0, 0]~, 1, 1, [-56, -21, -63, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s645(-2,3)* s646(-2,3)* 

Field minimum poly (root): x^4 - x^3 - x^2 + x + 1 (1)
Real ramification: []
Finite ramification: [[7, [4, 1, 0, 0]~, 1, 1, [2, -2, 2, 1]~], [19, [2, 1, 0, 0]~, 1, 1, [-9, 5, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s648(-7,1) s649(2,3) 

Field minimum poly (root): x^4 - x^3 - x^2 + x + 1 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m022(2,3)* m023(-5,1)* m038(-5,1)* v1809(-4,1)* 

Field minimum poly (root): x^4 - x^3 - x^2 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: s956(-2,3)* s956(2,3) s961(2,3) 

Field minimum poly (root): x^4 - x^3 - x^2 - 2*x + 4 (1)
Real ramification: []
Finite ramification: [[2, [2, 0, 1, 0]~, 1, 2, [1, 1, 1, 0]~], [7, [2, 1, 0, 0]~, 2, 1, [2, -3, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2274(-4,1) 

Field minimum poly (root): x^4 - x^3 - x^2 - 2*x + 4 (1)
Real ramification: []
Finite ramification: [[2, [3, 1, 1, 0]~, 1, 2, [0, 0, 1, 0]~], [79, [-28, 1, 0, 0]~, 1, 1, [-34, -36, 26, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2274(4,1) 

Field minimum poly (root): x^4 - x^3 - x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m160(-3,2) v3347(3,1) 

Field minimum poly (root): x^5 + 2*x^3 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1]~], [3, [1, 1, 0, 0, 0]~, 1, 1, [-1, 0, 0, -1, 1]~], [19, [-4, 1, 0, 0, 0]~, 1, 1, [5, -4, -1, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m195(-4,3) m247(1,3) 

Field minimum poly (root): x^5 + 2*x^3 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m369(1,2) m371(-1,2)* 

Field minimum poly (root): x^5 + 3*x^3 - 2*x^2 + x - 4 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 2, 2, [0, 1, 1, 1, 0]~], [7, [2, 1, 0, 0, 0]~, 1, 1, [-2, -2, 0, -2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3217(-4,1) 

Field minimum poly (root): x^5 + 3*x^3 - 2*x^2 + x - 4 (3)
Real ramification: []
Finite ramification: [[2, [2, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1]~], [7, [2, 1, 0, 0, 0]~, 1, 1, [-2, -2, 0, -2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3207(4,1)* v3210(4,1)* 

Field minimum poly (root): x^5 + 3*x^3 - 2*x^2 + x - 4 (3)
Real ramification: []
Finite ramification: [[5, [2, -1, 1, 0, 0]~, 1, 2, [-2, 2, 1, 1, 0]~], [23, [-2, 1, 0, 0, 0]~, 1, 1, [2, -11, 7, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3213(-4,1) 

Field minimum poly (root): x^5 + 4*x^3 + 3*x - 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~], [11, [5, 1, 0, 0, 0]~, 1, 1, [2, -2, -4, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m136(1,3)* 

Field minimum poly (root): x^5 + 4*x^3 + 3*x - 1 (3)
Real ramification: []
Finite ramification: [[3, [4, 1, 0, 0, 0]~, 1, 1, [-1, 1, -1, -1, 1]~], [233, [-34, 1, 0, 0, 0]~, 1, 1, [48, 63, -5, 34, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m140(-1,3) 

Field minimum poly (root): x^5 + 4*x^3 + 3*x - 1 (3)
Real ramification: []
Finite ramification: [[3, [4, 1, 0, 0, 0]~, 1, 1, [-1, 1, -1, -1, 1]~], [7, [-1, 1, 0, 0, 0]~, 1, 1, [1, -2, -2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m140(1,3)* 

Field minimum poly (root): x^5 + x^3 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m222(-5,1)* m223(1,3) 

Field minimum poly (root): x^5 + x^3 - 2*x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[463, [-131, 1, 0, 0, 0]~, 1, 1, [205, -108, 31, 131, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m220(-3,2) 

Field minimum poly (root): x^5 + x^3 - 2*x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[5, [1, 1, 0, 0, 0]~, 1, 1, [-1, 1, 2, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m221(3,2)* 

Field minimum poly (root): x^5 + x^3 - 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m320(-2,3)* 

Field minimum poly (root): x^5 + x^3 - 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[5, [1, 1, 0, 0, 0]~, 1, 1, [-1, 1, 2, -1, 1]~], [7, [9, 1, 0, 0, 0]~, 1, 1, [3, 2, -2, -2, 1]~], [17, [20, 1, 0, 0, 0]~, 1, 1, [-6, 2, -7, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s645(1,4) s646(1,4) 

Field minimum poly (root): x^5 + x^3 - 2*x^2 - 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s649(-1,4)* s659(4,1)* 

Field minimum poly (root): x^5 + x^3 - x^2 + 2*x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 1, 0, 1]~, 3, 1, [1, 2, 2, 1, 0]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~], [41, [11, 1, 0, 0, 0]~, 1, 1, [14, 9, -1, -12, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m010(1,3) s445(-1,3)* 

Field minimum poly (root): x^5 + x^3 - x^2 + 2*x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 1, 0, 1]~, 3, 1, [1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s702(1,3) s781(-3,2) s786(1,2)* v0785(-4,3)* 

Field minimum poly (root): x^5 + x^3 - x^2 + 4*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 1, 0]~], [2, [2, 0, 0, 0, 1]~, 1, 1, [1, 2, 1, 1, 1]~], [2, [3, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~], [19, [4, 1, 0, 0, 0]~, 1, 1, [-6, 6, -2, -5, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0825(2,3) 

Field minimum poly (root): x^5 + x^3 - x^2 + 4*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 1, 0]~], [2, [2, 0, 0, 0, 1]~, 1, 1, [1, 2, 1, 1, 1]~], [2, [3, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m390(-5,1)* 

Field minimum poly (root): x^5 + x^3 - x^2 + 4*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 1, 0]~], [2, [2, 0, 0, 0, 1]~, 1, 1, [1, 2, 1, 1, 1]~], [3, [-1, 1, 1, 0, 0]~, 1, 2, [1, 0, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s480(-5,1)* v0953(-5,1)* 

Field minimum poly (root): x^5 + x^3 - x^2 + 4*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 1, 0]~], [3, [-1, 1, 1, 0, 0]~, 1, 2, [1, 0, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m368(-2,3)* m370(2,3) 

Field minimum poly (root): x^5 + x^3 - x^2 - 3*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [2, 1, 0, 0, 0]~, 1, 1, [6, 2, 5, -2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s657(-1,2)* 

Field minimum poly (root): x^5 - 2*x^2 + x - 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~], [5, [1, 1, 0, 0, 0]~, 2, 1, [-1, 2, 1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3198(-4,1)* 

Field minimum poly (root): x^5 - 2*x^2 - 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1]~], [389, [88, 1, 0, 0, 0]~, 1, 1, [-84, 54, -36, -88, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s478(1,2)* s479(-1,2) 

Field minimum poly (root): x^5 - 2*x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m279(3,4)* m310(-6,1) 

Field minimum poly (root): x^5 - 2*x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[53, [-5, 1, 0, 0, 0]~, 1, 1, [-21, 17, 25, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m389(-1,2) 

Field minimum poly (root): x^5 - 2*x^2 - 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m403(4,1)* 

Field minimum poly (root): x^5 - 2*x^2 - x + 1 (4)
Real ramification: [2]
Finite ramification: [[109, [-43, 1, 0, 0, 0]~, 1, 1, [38, 44, -4, 43, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1054(4,1) v2018(-3,1)* 

Field minimum poly (root): x^5 - 2*x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s649(-1,3)* 

Field minimum poly (root): x^5 - 2*x^2 - x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s599(3,1) s645(1,3) s874(3,1) 

Field minimum poly (root): x^5 - 2*x^2 - x + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s667(1,2) v3543(1,3) 

Field minimum poly (root): x^5 - 2*x^2 - x + 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2643(-1,2) 

Field minimum poly (root): x^5 - 2*x^3 - 2*x^2 + 3*x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2911(-4,1) 

Field minimum poly (root): x^5 - 2*x^3 - 3*x^2 + x + 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~], [37, [-8, 1, 0, 0, 0]~, 1, 1, [-14, 12, -12, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m389(1,3) 

Field minimum poly (root): x^5 - 2*x^3 - 3*x^2 + x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~], [7, [-2, 1, 0, 0, 0]~, 1, 1, [3, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s719(5,1)* 

Field minimum poly (root): x^5 - 2*x^3 - 3*x^2 + x + 1 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s478(-1,3)* s479(1,3) s519(7,1)* s698(3,2) s699(3,2) 

Field minimum poly (root): x^5 - 2*x^3 - 4*x^2 - 3*x - 2 (3)
Real ramification: [1]
Finite ramification: [[19, [4, 1, 0, 0, 0]~, 1, 1, [9, -3, -5, -4, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s919(1,3) v3412(3,1)* 

Field minimum poly (root): x^5 - 2*x^3 - 4*x^2 - 3*x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 4, 1, [0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2716(4,1) 

Field minimum poly (root): x^5 - 2*x^3 - 7*x^2 - 7*x - 5 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 0, 0]~, 1, 2, [1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3505(-5,1)* 

Field minimum poly (root): x^5 - 2*x^3 - x^2 + 3*x + 1 (2)
Real ramification: [1]
Finite ramification: [[5, [7, 1, 0, 0, 0]~, 1, 1, [-2, 0, 2, -2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3216(-1,2) 

Field minimum poly (root): x^5 - 2*x^3 - x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3244(-2,3)* v3246(-2,3)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^2 - x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 1, 0]~, 1, 3, [1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(3,2)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^2 - x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m081(2,3)* m149(-3,1) v3198(3,1)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^2 - x + 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2719(1,3)* v2874(3,2) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 + x^2 - 3*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~], [13, [3, 1, 0, 0, 0]~, 1, 1, [4, 2, 4, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2771(2,3)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 + x^2 - 3*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~], [17, [3, 1, 0, 0, 0]~, 1, 1, [-6, 1, 0, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3214(-2,3)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 + x^2 - 3*x - 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2794(-2,3) v3352(-3,1) v3377(3,1) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 + x^2 - 3*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3448(3,2) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 2*x^2 + 3*x - 1 (2)
Real ramification: [1]
Finite ramification: [[13, [-2, 1, 0, 0, 0]~, 1, 1, [-6, 2, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s118(-5,1)* s119(5,1) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 2*x^2 + 3*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m206(5,1) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 2*x^2 + 3*x - 1 (2)
Real ramification: []
Finite ramification: [[5, [2, 1, 0, 0, 0]~, 1, 1, [2, -2, 0, 1, 1]~], [103, [37, 1, 0, 0, 0]~, 1, 1, [-39, -10, 3, -39, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s118(5,1) s119(-5,1)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 2*x^2 + 3*x - 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m275(3,2) m370(1,2) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 2*x^2 + x + 1 (3)
Real ramification: [1]
Finite ramification: [[67, [-11, 1, 0, 0, 0]~, 1, 1, [6, -30, -33, 9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3184(-4,1)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m155(-5,1)* m249(-4,1)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 3*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[3, [4, 1, 0, 0, 0]~, 1, 1, [-1, 1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(-2,1) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 3*x^2 - x + 4 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [2, 1, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1]~], [3, [1, 1, 0, 0, 0]~, 2, 1, [1, 1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3214(3,1)* v3215(4,1) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 3*x^2 - x + 4 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [2, 1, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1]~], [3, [1, 1, 0, 0, 0]~, 2, 1, [1, 1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3214(-1,3) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - 6*x^2 + 5*x - 4 (3)
Real ramification: [1]
Finite ramification: [[2, [2, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0]~], [2, [1, 1, 0, 1, 1]~, 2, 2, [2, 1, 1, 0, 0]~], [5, [1, 1, 0, 0, 0]~, 1, 1, [1, 2, -1, -1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3216(-5,1) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[11, [-5, 1, 0, 0, 0]~, 1, 1, [2, -4, -5, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m151(-2,3)* m160(1,3) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[23, [4, 1, 0, 0, 0]~, 1, 1, [6, 10, 3, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m130(-1,4)* m130(4,1)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[5, [1, 1, 0, 0, 0]~, 1, 1, [1, -1, 0, 2, 1]~], [11, [-5, 1, 0, 0, 0]~, 1, 1, [2, -4, -5, 3, 1]~], [13, [-2, 1, 0, 0, 0]~, 1, 1, [6, 3, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m139(-1,4)* m139(4,1)* 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - x^2 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[3, [4, 1, 0, 0, 0]~, 1, 1, [-1, 0, -1, 0, 1]~], [5, [-2, 1, 0, 0, 0]~, 1, 1, [-2, -2, 2, 0, 1]~], [17, [-8, 1, 0, 0, 0]~, 1, 1, [-2, 8, -1, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2641(1,2) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - x^2 + 2*x - 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2642(1,2) 

Field minimum poly (root): x^5 - 2*x^4 + 2*x^3 - x^2 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0]~, 1, 1, [1, 0, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s784(5,2)* 

Field minimum poly (root): x^5 - 2*x^4 + 3*x^3 - 4*x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1]~], [13, [1, 1, 0, 0, 0]~, 1, 1, [-2, 3, 6, -3, 1]~], [83, [69, 1, 0, 0, 0]~, 1, 1, [12, -17, 5, 12, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2832(4,3) v3172(-3,2) v3210(3,2) 

Field minimum poly (root): x^5 - 2*x^4 + 3*x^3 - 4*x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1]~], [2, [1, 1, 1, 0, 0]~, 2, 2, [0, 1, 1, 1, 0]~], [41, [17, 1, 0, 0, 0]~, 1, 1, [-17, -11, -2, -19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3217(-3,2)* 

Field minimum poly (root): x^5 - 2*x^4 + 3*x^3 - 4*x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3213(-3,2)* 

Field minimum poly (root): x^5 - 2*x^4 + 3*x^3 - 5*x^2 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 3, 1, [1, 1, 0, 1, 1]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~], [41, [-12, 1, 0, 0, 0]~, 1, 1, [-17, -5, 0, 10, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2643(-4,3) 

Field minimum poly (root): x^5 - 2*x^4 + 3*x^3 - 5*x^2 + 2*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 3, 1, [1, 1, 0, 1, 1]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~], [7, [1, 1, 0, 0, 0]~, 1, 1, [-1, 3, -1, -3, 1]~], [47, [13, 1, 0, 0, 0]~, 1, 1, [18, 6, 10, -15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2640(4,3)* 

Field minimum poly (root): x^5 - 2*x^4 + 4*x^2 - x - 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 0, 1, 1, 0]~, 1, 3, [1, 1, 1, 0, 0]~], [13, [4, 1, 0, 0, 0]~, 1, 1, [3, -1, -2, -6, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s884(2,3) 

Field minimum poly (root): x^5 - 2*x^4 + 4*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2517(1,2) 

Field minimum poly (root): x^5 - 2*x^4 + 4*x^2 - x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s734(-2,3)* 

Field minimum poly (root): x^5 - 2*x^4 + 4*x^3 - 5*x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[3, [1, 1, 0, 0, 0]~, 1, 1, [-1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m373(-2,3) 

Field minimum poly (root): x^5 - 2*x^4 + 5*x^3 - 6*x^2 + 6*x - 2 (3)
Real ramification: [1]
Finite ramification: [[1249, [115, 1, 0, 0, 0]~, 1, 1, [467, -395, -279, -117, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3208(1,3)* v3209(1,3)* v3269(4,1) 

Field minimum poly (root): x^5 - 2*x^4 + 5*x^3 - 6*x^2 + 6*x - 2 (3)
Real ramification: [1]
Finite ramification: [[13, [-2, 1, 0, 0, 0]~, 1, 1, [1, 4, 5, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3212(1,3)* 

Field minimum poly (root): x^5 - 2*x^4 + x^2 - 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 0, 0, 0]~, 2, 1, [1, 0, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m007(-3,2)* v3008(3,2) 

Field minimum poly (root): x^5 - 2*x^4 + x^2 - 2*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3031(3,1)* v3045(2,3)* v3340(-4,1) 

Field minimum poly (root): x^5 - 2*x^4 + x^3 + 2*x^2 - 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [11, 1, 0, 0, 0]~, 1, 1, [10, 9, -4, -13, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m175(-1,3)* 

Field minimum poly (root): x^5 - 2*x^4 + x^3 + 2*x^2 - 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-2, -2, 1, 0, 0]~, 1, 2, [-2, -2, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m016(2,3)* s897(3,1) 

Field minimum poly (root): x^5 - 2*x^4 + x^3 + 2*x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m015(-6,1)* m017(2,3)* m026(-4,1) s854(-1,2)* 

Field minimum poly (root): x^5 - 2*x^4 + x^3 + 2*x^2 - 2*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s593(2,3)* v2202(-3,1)* v2203(3,1) 

Field minimum poly (root): x^5 - 2*x^4 + x^3 + 3*x^2 - 5*x + 4 (3)
Real ramification: [1]
Finite ramification: [[2, [2, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s905(2,3) v3511(2,1) 

Field minimum poly (root): x^5 - 2*x^4 + x^3 - 2*x + 1 (4)
Real ramification: [3]
Finite ramification: [[173, [82, 1, 0, 0, 0]~, 1, 1, [19, -53, -31, -84, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m178(4,3)* 

Field minimum poly (root): x^5 - 2*x^4 + x^3 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [17, 1, 0, 0, 0]~, 1, 1, [-13, 5, -9, 18, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2412(4,1)* 

Field minimum poly (root): x^5 - 2*x^4 + x^3 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [4, 1, 0, 0, 0]~, 1, 1, [-9, 11, -12, -6, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2344(5,2) 

Field minimum poly (root): x^5 - 2*x^4 + x^3 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-2, 1, 0, 0, 0]~, 1, 1, [2, 2, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m208(-4,1) m208(3,1)* 

Field minimum poly (root): x^5 - 2*x^4 + x^3 - 2*x + 1 (4)
Real ramification: [2]
Finite ramification: [[5, [-2, 1, 0, 0, 0]~, 1, 1, [2, 2, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m182(-4,3)* m208(-1,4)* 

Field minimum poly (root): x^5 - 2*x^4 + x^3 - 2*x + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m179(4,3)* m208(1,3) 

Field minimum poly (root): x^5 - 2*x^4 + x^3 - 4*x^2 - 2*x - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [2, 1, 0, 0, 1]~, 1, 1, [1, 2, 2, 1, 1]~], [2, [0, 0, 0, 0, 1]~, 1, 1, [1, 2, 2, 2, 1]~], [2, [0, 1, 0, 0, 0]~, 3, 1, [0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3103(6,1) 

Field minimum poly (root): x^5 - 2*x^4 + x^3 - x^2 + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m369(-1,4)* m371(1,4) s440(1,4) 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^2 + 4 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 0, 0, 1, 0]~, 2, 1, [2, 1, 1, 2, 1]~], [2, [1, 0, 0, 1, 0]~, 3, 1, [2, 2, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(1,3)* v2789(-1,3) 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^2 + 4 (4)
Real ramification: [2]
Finite ramification: [[2, [0, 0, 0, 1, 0]~, 2, 1, [2, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(-1,3) v2789(1,3)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^2 + 4 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2503(1,4) 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^2 + 5*x + 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s915(-5,1) 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^2 + 5*x + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 1, 1, 1]~, 3, 1, [2, 1, 2, 1, 0]~], [2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s915(5,1)* s916(1,3)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^2 + 5*x + 2 (2)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 2, 1]~], [2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0]~], [5, [2, 1, 0, 0, 0]~, 1, 1, [1, 1, 2, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2347(-5,1) v2669(-5,1) 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^2 + 5*x + 2 (2)
Real ramification: []
Finite ramification: [[2, [2, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 2, 1]~], [2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2345(1,3)* v2346(1,3)* v2347(5,1)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 2*x^2 + 7*x - 5 (3)
Real ramification: [1]
Finite ramification: [[1367, [247, 1, 0, 0, 0]~, 1, 1, [-238, -641, -14, -249, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s296(6,1)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 2*x^2 + 7*x - 5 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m306(6,1)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 2*x^2 + 7*x - 5 (3)
Real ramification: [1]
Finite ramification: [[43, [21, 1, 0, 0, 0]~, 1, 1, [10, 6, 8, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m304(6,1)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 4*x^2 - x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~], [5, [1, 1, 0, 0, 0]~, 1, 1, [1, -2, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m007(-5,1) m289(-1,2)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 4*x^2 - x + 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~], [5, [1, 1, 0, 0, 0]~, 1, 1, [1, -2, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s478(4,1)* s479(-4,1) 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 4*x^2 - x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m009(1,2) m310(1,2)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 4*x^2 - x + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m389(-4,1) 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 4*x^2 - x + 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m345(-3,2) s645(3,1)* 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 4*x^2 - x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1]~], [17, [-4, 1, 0, 0, 0]~, 1, 1, [-8, -6, 6, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3454(-5,1) 

Field minimum poly (root): x^5 - 2*x^4 - 2*x^3 + 4*x^2 - x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 4, 1, [0, 1, 1, 1, 1]~], [2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3453(-5,1) 

Field minimum poly (root): x^5 - 2*x^4 - 3*x^3 + x^2 + 5*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1]~], [11, [2, 1, 0, 0, 0]~, 1, 1, [1, 2, 5, -4, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s297(-5,1)* 

Field minimum poly (root): x^5 - 2*x^4 - 3*x^3 + x^2 + 5*x + 2 (4)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m304(1,3)* m305(5,1)* 

Field minimum poly (root): x^5 - 2*x^4 - 3*x^3 + x^2 + 5*x + 2 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1]~], [2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1]~], [11, [2, 1, 0, 0, 0]~, 1, 1, [1, 2, 5, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(1,3) m306(1,3)* m307(5,1)* s298(-5,1) 

Field minimum poly (root): x^5 - 2*x^4 - 3*x^3 + x^2 + 5*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1]~], [2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m303(-5,1)* 

Field minimum poly (root): x^5 - 2*x^4 - 3*x^3 + x^2 + 5*x + 2 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1]~], [2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s296(1,3)* 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 2*x^2 - x + 3 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1]~], [3, [0, 1, 0, 0, 0]~, 1, 1, [-1, -1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m372(-5,1)* m373(-1,3)* 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 2*x^2 - x + 3 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [0, 1, 0, 0, 0]~, 1, 1, [-1, -1, -1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s437(1,3)* 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 3*x^2 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[13, [5, 1, 0, 0, 0]~, 1, 1, [5, 2, -5, 6, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m303(-2,3)* 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 3*x^2 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 3, 1, [1, 1, 0, 1, 1]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~], [23, [-7, 1, 0, 0, 0]~, 1, 1, [10, 11, 11, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m319(5,1)* 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 3*x^2 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 3, 1, [1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s297(-2,3)* 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 4*x^2 - 2*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 1]~], [13, [16, 1, 0, 0, 0]~, 1, 1, [-5, 1, 1, -5, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m141(2,3)* 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 4*x^2 - 2*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 1]~], [2, [0, 1, 0, 0, 0]~, 3, 1, [0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3526(2,3) 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 4*x^2 - 2*x - 2 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 1]~], [2, [0, 1, 0, 0, 0]~, 3, 1, [0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(-1,2) 

Field minimum poly (root): x^5 - 2*x^4 - x^3 + 4*x^2 - 2*x - 2 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m148(-6,1) m149(2,3) 

Field minimum poly (root): x^5 - 3*x^3 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 0, 0, 0]~, 2, 1, [-1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2693(4,3) 

Field minimum poly (root): x^5 - 3*x^3 - 2*x^2 + 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [4, 1, 0, 0, 0]~, 1, 1, [-3, -2, 0, -4, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m016(4,1) s897(1,2)* 

Field minimum poly (root): x^5 - 3*x^3 - 2*x^2 + 2*x + 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [2, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 0]~], [3, [1, 0, 1, 0, 0]~, 1, 2, [1, -1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s639(1,3) 

Field minimum poly (root): x^5 - 3*x^3 - 2*x^2 + 2*x + 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [2, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 0]~], [5, [-2, 1, 0, 0, 0]~, 1, 1, [2, 0, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m009(5,2)* v0940(-5,2) 

Field minimum poly (root): x^5 - 3*x^3 - 2*x^2 + 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-2, 1, 0, 0, 0]~, 1, 1, [2, 0, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s764(-1,3) v1132(4,1) v1935(3,1)* v2203(1,2)* 

Field minimum poly (root): x^5 - 3*x^3 - 2*x^2 + 2*x + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m009(-5,2) s469(5,2)* 

Field minimum poly (root): x^5 - 5*x^3 - 2*x^2 + 3*x + 2 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1]~], [19, [-9, 1, 0, 0, 0]~, 1, 1, [4, -2, 0, 9, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s758(-4,1) 

Field minimum poly (root): x^5 - 5*x^3 - 2*x^2 + 3*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1]~], [2, [1, 1, 1, 0, 0]~, 2, 2, [0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s594(2,3) s594(3,2)* 

Field minimum poly (root): x^5 - 6*x^3 - 5*x^2 - 2*x - 4 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1808(5,1)* v1809(-1,3) 

Field minimum poly (root): x^5 - 6*x^3 - 5*x^2 - 2*x - 4 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s918(3,2) 

Field minimum poly (root): x^5 - 6*x^3 - 5*x^2 - 2*x - 4 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [2, 0, 1, 0, 0]~, 1, 2, [1, 2, 2, 1, 0]~], [13, [-3, 1, 0, 0, 0]~, 1, 1, [-3, 3, 3, 3, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2642(-5,1)* 

Field minimum poly (root): x^5 - 6*x^3 - 5*x^2 - 2*x - 4 (4)
Real ramification: [3]
Finite ramification: [[2, [2, 0, 1, 0, 0]~, 1, 2, [1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2641(-5,1)* 

Field minimum poly (root): x^5 - x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 1, 0]~, 1, 3, [1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3221(1,2) v3228(-1,2)* 

Field minimum poly (root): x^5 - x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 1, 0]~, 1, 3, [1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3100(1,3) 

Field minimum poly (root): x^5 - x - 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~], [181, [189, 1, 0, 0, 0]~, 1, 1, [-68, 31, 64, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1470(-1,3) 

Field minimum poly (root): x^5 - x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s753(1,3)* 

Field minimum poly (root): x^5 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m238(4,3) 

Field minimum poly (root): x^5 - x^2 + x + 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1]~], [7, [-3, 1, 0, 0, 0]~, 1, 1, [2, -2, 2, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3490(4,1)* v3491(-3,1)* v3492(4,1)* v3493(-3,1)* 

Field minimum poly (root): x^5 - x^3 - 2*x^2 + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [-5, 1, 0, 0, 0]~, 1, 1, [5, 1, -2, 5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m003(-5,3) 

Field minimum poly (root): x^5 - x^3 - 2*x^2 + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [6, 1, 0, 0, 0]~, 2, 1, [-2, -4, -4, -6, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m007(1,2)* v2050(-1,2)* 

Field minimum poly (root): x^5 - x^3 - 2*x^2 + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [-9, 1, 0, 0, 0]~, 1, 1, [2, -4, 4, 9, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s899(4,1) 

Field minimum poly (root): x^5 - x^3 - 2*x^2 + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [11, 1, 0, 0, 0]~, 1, 1, [7, 8, 6, 8, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s649(-5,2)* 

Field minimum poly (root): x^5 - x^3 - 2*x^2 + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [16, 1, 0, 0, 0]~, 1, 1, [7, -12, -4, -16, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s645(5,2) s646(5,2) 

Field minimum poly (root): x^5 - x^3 - 2*x^2 + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m118(3,2) 

Field minimum poly (root): x^5 - x^3 - 2*x^2 + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m119(3,2) m221(1,2)* 

Field minimum poly (root): x^5 - x^3 - 5*x^2 - 2*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 1, 0]~], [2, [0, 0, 0, 0, 1]~, 1, 1, [2, 1, 2, 2, 1]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~], [13, [-4, 1, 0, 0, 0]~, 1, 1, [-4, 2, 2, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(4,1)* v2789(-4,1) 

Field minimum poly (root): x^5 - x^3 - 5*x^2 - 2*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 1, 0]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(-4,1) v2789(4,1)* 

Field minimum poly (root): x^5 - x^3 - 5*x^2 - 2*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~], [97, [-40, 1, 0, 0, 0]~, 1, 1, [16, 31, 47, 39, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3126(3,2) 

Field minimum poly (root): x^5 - x^3 - x^2 + 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 3, 1, [1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2099(4,1)* v2101(1,3)* 

Field minimum poly (root): x^5 - x^3 - x^2 + 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2503(1,3) 

Field minimum poly (root): x^5 - x^3 - x^2 + 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[5, [3, 1, 0, 0, 0]~, 1, 1, [2, 0, -2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2100(-1,3) 

Field minimum poly (root): x^5 - x^3 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[13, [5, 1, 0, 0, 0]~, 1, 1, [-5, -4, -2, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m003(-4,1) 

Field minimum poly (root): x^5 - x^3 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[17, [-6, 1, 0, 0, 0]~, 1, 1, [-3, 5, 1, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m069(4,3) 

Field minimum poly (root): x^5 - x^3 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[271, [-5, 1, 0, 0, 0]~, 1, 1, [54, 119, 24, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0819(5,1) 

Field minimum poly (root): x^5 - x^3 - x^2 + x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m070(4,3) 

Field minimum poly (root): x^5 - x^3 - x^2 + x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3144(3,1) 

Field minimum poly (root): x^5 - x^3 - x^2 + x + 1 (3)
Real ramification: [1]
Finite ramification: [[89, [26, 1, 0, 0, 0]~, 1, 1, [24, -18, -37, -26, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s763(-3,4)* s764(4,1)* 

Field minimum poly (root): x^5 - x^3 - x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [3, 1, 0, 0, 0]~, 1, 1, [-4, 1, -5, -3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m160(-4,1) 

Field minimum poly (root): x^5 - x^3 - x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [7, 1, 0, 0, 0]~, 1, 1, [-2, -2, -2, -2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m285(1,2) 

Field minimum poly (root): x^5 - x^4 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[13, [-5, 1, 0, 0, 0]~, 1, 1, [-5, -4, -6, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1076(-5,1) v1191(-5,1)* 

Field minimum poly (root): x^5 - x^4 + 2*x - 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 0, 1, 0]~], [5, [1, 1, 0, 0, 0]~, 1, 1, [-1, -2, 2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2739(1,3) 

Field minimum poly (root): x^5 - x^4 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 1, 0]~, 1, 3, [1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m168(3,1) v3283(-2,3)* 

Field minimum poly (root): x^5 - x^4 + 2*x - 1 (3)
Real ramification: []
Finite ramification: [[5, [1, 1, 0, 0, 0]~, 1, 1, [-1, -2, 2, -2, 1]~], [953, [360, 1, 0, 0, 0]~, 1, 1, [45, 29, 352, -361, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2603(-1,4)* 

Field minimum poly (root): x^5 - x^4 + 2*x - 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2831(3,2)* 

Field minimum poly (root): x^5 - x^4 + 2*x^2 - 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v3199(3,1) 

Field minimum poly (root): x^5 - x^4 + 2*x^2 - x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m188(4,3) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 + 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[11, [-5, 1, 0, 0, 0]~, 1, 1, [2, 0, 0, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m368(-3,1)* m370(3,1) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 + 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[5, [-1, 1, 0, 0, 0]~, 1, 1, [-1, 2, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m232(2,3)* s254(-4,1)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 + x^2 + 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m234(-4,1)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 + 3*x - 1 (2)
Real ramification: [1]
Finite ramification: [[5, [1, 1, 0, 0, 0]~, 1, 1, [-1, -1, -1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2951(2,3) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[131, [4, 1, 0, 0, 0]~, 1, 1, [-33, 41, 22, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s296(3,2) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m300(3,2)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m262(1,3)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[137, [38, 1, 0, 0, 0]~, 1, 1, [18, 50, -23, -39, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2594(-1,3)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m030(4,3) v2572(-1,3)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[463, [-13, 1, 0, 0, 0]~, 1, 1, [-178, 200, 158, 12, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2638(-1,3)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m168(1,4)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 2 (2)
Real ramification: [1]
Finite ramification: [[13, [-6, 1, 0, 0, 0]~, 1, 1, [-4, -5, 6, 5, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3212(3,2) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 2*x^2 - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3027(-3,1) v3208(3,2) v3209(3,2) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 3*x^2 + 2*x - 4 (2)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 1, 0, 0]~, 1, 2, [1, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s942(-4,1) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 4*x^2 + 2*x - 1 (3)
Real ramification: []
Finite ramification: [[2, [3, 1, 1, 0, 0]~, 1, 2, [1, 1, 0, 1, 0]~], [37, [-3, 1, 0, 0, 0]~, 1, 1, [-12, -17, 8, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2643(-4,1) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - 4*x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 1, 0, 0]~, 1, 2, [1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2640(4,1)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - x^2 + 2*x - 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1]~], [197, [3, 1, 0, 0, 0]~, 1, 1, [-66, -43, 14, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3019(-4,1) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - x^2 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s955(-1,4)* s956(-4,1)* s956(4,1) s957(-1,4)* s960(-1,4)* s961(4,1) v3028(-1,3) v3491(-1,2)* v3493(-1,2)* 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - x^2 + x + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0]~], [2, [3, 1, 1, 0, 0]~, 1, 2, [0, 1, 0, 1, 0]~], [347, [47, 1, 0, 0, 0]~, 1, 1, [-155, 54, -171, -48, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s698(-1,3) 

Field minimum poly (root): x^5 - x^4 + 2*x^3 - x^2 + x + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s699(-1,3) 

Field minimum poly (root): x^5 - x^4 + 3*x^2 - 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3100(-1,3) 

Field minimum poly (root): x^5 - x^4 + 3*x^2 - 4*x + 4 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 0, 1]~, 2, 1, [1, 1, 1, 2, 1]~], [3, [4, 1, 0, 0, 0]~, 1, 1, [1, 0, -1, 0, -1]~], [3, [-1, 1, 0, 0, 0]~, 2, 1, [-1, -1, 0, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s708(5,1)* 

Field minimum poly (root): x^5 - x^4 + 3*x^2 - 6*x + 2 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 0, 1]~], [29, [-6, 1, 0, 0, 0]~, 1, 1, [-9, 8, 2, 4, 3]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2381(3,1) 

Field minimum poly (root): x^5 - x^4 + 3*x^2 - 6*x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2380(-3,1)* 

Field minimum poly (root): x^5 - x^4 + 3*x^2 - 8*x + 4 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m137(3,2)* 

Field minimum poly (root): x^5 - x^4 + 3*x^2 - 8*x + 4 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m148(5,1) 

Field minimum poly (root): x^5 - x^4 + 3*x^3 - 3*x^2 - 4 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 1, 0]~, 2, 1, [1, 1, 2, 1, 1]~], [2, [1, 0, 0, 0, 1]~, 3, 1, [2, 1, 1, 0, 0]~], [3, [1, 1, 0, 0, 0]~, 2, 1, [-1, 0, 1, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3425(1,2)* 

Field minimum poly (root): x^5 - x^4 + 3*x^3 - 4*x^2 + 4*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3214(-4,1) 

Field minimum poly (root): x^5 - x^4 + 3*x^3 - 4*x^2 + 4*x - 1 (2)
Real ramification: [1]
Finite ramification: [[7, [1, 1, 0, 0, 0]~, 1, 1, [-1, -2, -2, -2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3248(-1,3) 

Field minimum poly (root): x^5 - x^4 + 3*x^3 - x^2 + 6*x - 4 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 1, 0]~, 2, 1, [2, 1, 1, 0, 0]~], [2, [1, 0, 0, 0, 1]~, 1, 1, [2, 2, 2, 2, 1]~], [13, [-6, 1, 0, 0, 0]~, 1, 1, [5, -3, 6, -3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3208(6,1)* v3209(6,1)* 

Field minimum poly (root): x^5 - x^4 + 3*x^3 - x^2 + 6*x - 4 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 1, 0]~, 2, 1, [2, 1, 1, 0, 0]~], [23, [2, 1, 0, 0, 0]~, 1, 1, [-2, 7, 8, -6, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3212(6,1)* 

Field minimum poly (root): x^5 - x^4 + 3*x^3 - x^2 + 6*x - 4 (2)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 1, 0, 0]~, 1, 2, [1, 2, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3216(-2,3)* 

Field minimum poly (root): x^5 - x^4 + x^2 - 3*x + 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m223(5,1)* 

Field minimum poly (root): x^5 - x^4 + x^2 - x + 1 (2)
Real ramification: [1]
Finite ramification: [[173, [57, 1, 0, 0, 0]~, 1, 1, [85, -44, 19, -58, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2643(-3,1) 

Field minimum poly (root): x^5 - x^4 + x^2 - x + 1 (2)
Real ramification: [1]
Finite ramification: [[311, [49, 1, 0, 0, 0]~, 1, 1, [146, -3, -38, -50, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s709(1,3)* s912(4,1) 

Field minimum poly (root): x^5 - x^4 + x^2 - x + 1 (3)
Real ramification: [1]
Finite ramification: [[619, [31, 1, 0, 0, 0]~, 1, 1, [20, 199, -246, -32, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2643(-3,2)* 

Field minimum poly (root): x^5 - x^4 + x^2 - x + 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1667(4,3)* v2640(3,2) 

Field minimum poly (root): x^5 - x^4 + x^3 + 2*x^2 - 2*x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1]~], [2, [1, 0, 1, 1, 0]~, 1, 3, [1, 0, 1, 0, 0]~], [19, [9, 1, 0, 0, 0]~, 1, 1, [-2, 0, -4, 9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m009(6,1)* v0753(6,1)* 

Field minimum poly (root): x^5 - x^4 + x^3 + 2*x^2 - 2*x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m009(-6,1) v0822(6,1)* 

Field minimum poly (root): x^5 - x^4 + x^3 + 2*x^2 - x + 1 (2)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 0, 0, 0]~, 1, 1, [-1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(1,3)* 

Field minimum poly (root): x^5 - x^4 + x^3 + 3*x^2 - 2*x + 2 (3)
Real ramification: []
Finite ramification: [[2, [0, 0, 1, 0, 1]~, 3, 1, [2, 2, 1, 1, 0]~], [131, [-40, 1, 0, 0, 0]~, 1, 1, [-59, -44, -12, 39, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(-5,1)* v2789(5,1) 

Field minimum poly (root): x^5 - x^4 + x^3 + 3*x^2 - 2*x + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(5,1) v2789(-5,1)* 

Field minimum poly (root): x^5 - x^4 + x^3 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3011(4,1) 

Field minimum poly (root): x^5 - x^4 + x^3 - 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[61, [29, 1, 0, 0, 0]~, 1, 1, [21, -5, 17, -30, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3425(-3,2) 

Field minimum poly (root): x^5 - x^4 + x^3 - 2*x^2 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[151, [37, 1, 0, 0, 0]~, 1, 1, [-49, 34, 48, -38, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m189(-4,3)* 

Field minimum poly (root): x^5 - x^4 + x^3 - 2*x^2 + x - 1 (3)
Real ramification: [1]
Finite ramification: [[17, [-2, 1, 0, 0, 0]~, 1, 1, [-8, 4, 3, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m017(-1,4)* 

Field minimum poly (root): x^5 - x^4 + x^3 - 2*x^2 + x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m010(-3,4) v0974(1,4) 

Field minimum poly (root): x^5 - x^4 + x^3 - 2*x^2 + x - 1 (3)
Real ramification: [1]
Finite ramification: [[7, [1, 1, 0, 0, 0]~, 1, 1, [-1, 2, 3, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s777(1,2)* v1012(-1,4)* 

Field minimum poly (root): x^5 - x^4 + x^3 - 2*x^2 + x - 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m016(-1,4)* s692(-1,4)* 

Field minimum poly (root): x^5 - x^4 + x^3 - 2*x^2 + x - 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1]~], [17, [2, 1, 0, 0, 0]~, 1, 1, [-1, 1, 7, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2585(4,1)* 

Field minimum poly (root): x^5 - x^4 + x^3 - 3*x^2 + x - 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1]~], [53, [-16, 1, 0, 0, 0]~, 1, 1, [10, -16, -24, 15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2123(-1,3) 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[13, [2, 1, 0, 0, 0]~, 2, 1, [6, -2, -6, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s900(-5,2) 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[31, [-14, 1, 0, 0, 0]~, 1, 1, [-11, -12, -3, 13, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s385(5,1)* 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 + 2*x - 1 (3)
Real ramification: []
Finite ramification: [[5, [2, 1, 0, 0, 0]~, 2, 1, [2, 0, 2, 2, 1]~], [1039, [-503, 1, 0, 0, 0]~, 1, 1, [-126, -496, 30, 502, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2202(5,2)* v2203(-5,2) 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[5, [2, 1, 0, 0, 0]~, 2, 1, [2, 0, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s384(1,3)* 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[563, [-201, 1, 0, 0, 0]~, 1, 1, [-14, 224, 228, 200, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s897(-5,2) 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[79, [-39, 1, 0, 0, 0]~, 1, 1, [-2, 8, -18, 38, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2944(-3,2) 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[23, [-5, 1, 0, 0, 0]~, 1, 1, [-9, -11, -2, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s708(-1,3)* v2573(-3,1)* 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 - x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 2, 2, [1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s417(-4,1)* 

Field minimum poly (root): x^5 - x^4 + x^3 - x^2 - x - 1 (3)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1]~], [2, [1, 1, 1, 0, 0]~, 2, 2, [1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(-7,1) 

Field minimum poly (root): x^5 - x^4 - 2*x + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m151(2,3) m294(1,3)* s090(5,1) 

Field minimum poly (root): x^5 - x^4 - 2*x + 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2447(1,3) 

Field minimum poly (root): x^5 - x^4 - 2*x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0]~, 1, 2, [1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0819(4,1)* 

Field minimum poly (root): x^5 - x^4 - 2*x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[3, [1, 0, 1, 0, 0]~, 1, 2, [-1, -1, -1, 1, 0]~], [7, [1, 1, 0, 0, 0]~, 1, 1, [-1, 3, 2, -2, 1]~], [11, [-2, 1, 0, 0, 0]~, 1, 1, [-5, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m368(-3,2) m370(3,2)* 

Field minimum poly (root): x^5 - x^4 - 2*x^3 + 3*x + 2 (3)
Real ramification: [1]
Finite ramification: [[41, [11, 1, 0, 0, 0]~, 1, 1, [-11, 5, 7, -12, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3508(-4,3)* v3509(-4,1)* v3510(-4,1)* v3511(-4,3)* 

Field minimum poly (root): x^5 - x^4 - 2*x^3 + 3*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [-6, 1, 0, 0, 0]~, 1, 1, [-2, 2, 2, 5, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m223(-1,3) 

Field minimum poly (root): x^5 - x^4 - 2*x^3 + x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2944(4,1) 

Field minimum poly (root): x^5 - x^4 - 2*x^3 + x + 2 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3117(-1,3)* v3310(5,1) 

Field minimum poly (root): x^5 - x^4 - 2*x^3 + x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 1]~], [2, [1, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [0, 1, 0, 1, 0]~], [7, [3, 1, 0, 0, 0]~, 1, 1, [-3, -1, 3, 3, 1]~], [19, [3, 1, 0, 0, 0]~, 1, 1, [-7, 9, -9, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s854(-5,1) 

Field minimum poly (root): x^5 - x^4 - 2*x^3 + x^2 + x - 2 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1]~], [17, [-5, 1, 0, 0, 0]~, 1, 1, [-3, 6, 1, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s817(1,3) s818(1,3) 

Field minimum poly (root): x^5 - x^4 - 2*x^3 + x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [0, 1, 0, 1, 0]~], [67, [14, 1, 0, 0, 0]~, 1, 1, [19, -30, 7, -15, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s916(1,2)* 

Field minimum poly (root): x^5 - x^4 - 2*x^3 - x^2 + 2*x + 2 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1]~], [19, [2, 1, 0, 0, 0]~, 1, 1, [1, -9, 4, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m006(-5,1)* m340(3,2)* 

Field minimum poly (root): x^5 - x^4 - 2*x^3 - x^2 + 2*x + 2 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1]~], [2, [1, 0, 1, 1, 0]~, 1, 3, [0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m376(-3,2) 

Field minimum poly (root): x^5 - x^4 - 2*x^3 - x^2 + 2*x + 2 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1]~], [2, [1, 0, 1, 1, 0]~, 1, 3, [0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m009(3,2)* s403(-1,2) 

Field minimum poly (root): x^5 - x^4 - 2*x^3 - x^2 + 2*x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s448(-3,2) s645(3,2)* v0543(-4,1)* 

Field minimum poly (root): x^5 - x^4 - 2*x^3 - x^2 + 3*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [-4, 1, 0, 0, 0]~, 2, 1, [3, 0, -3, 3, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2517(-5,2)* 

Field minimum poly (root): x^5 - x^4 - 2*x^3 - x^2 + 3*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0]~, 1, 1, [1, -1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2704(-5,1)* 

Field minimum poly (root): x^5 - x^4 - 3*x^2 + 2*x + 2 (3)
Real ramification: [1]
Finite ramification: [[5, [1, 1, 0, 0, 0]~, 1, 1, [2, 0, 2, -2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2959(1,3)* 

Field minimum poly (root): x^5 - x^4 - 3*x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0]~], [2, [0, 0, 1, 1, 1]~, 2, 1, [1, 1, 1, 1, 1]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s594(-1,4) s594(-4,1)* 

Field minimum poly (root): x^5 - x^4 - 3*x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0]~], [23, [4, 1, 0, 0, 0]~, 1, 1, [11, 8, -3, -5, 2]~], [43, [8, 1, 0, 0, 0]~, 1, 1, [-11, -21, -14, -9, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s702(-1,3) 

Field minimum poly (root): x^5 - x^4 - 3*x^3 + 2*x^2 + 6*x - 4 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 1]~, 1, 1, [1, 2, 1, 2, 1]~], [2, [1, 1, 1, 0, 0]~, 1, 2, [0, 0, 0, 1, 0]~], [13, [3, 1, 0, 0, 0]~, 1, 1, [3, 1, -5, -5, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2878(-2,3)* v3247(-2,3)* 

Field minimum poly (root): x^5 - x^4 - 3*x^3 + 3*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0]~, 2, 1, [-1, 1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m023(-4,1) m322(3,2)* 

Field minimum poly (root): x^5 - x^4 - 3*x^3 + 3*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3418(6,1) 

Field minimum poly (root): x^5 - x^4 - 3*x^3 + 3*x^2 - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s958(3,2) 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3315(4,1) v3317(4,3) v3491(1,3) v3493(1,3) 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1]~], [11, [5, 1, 0, 0, 0]~, 1, 1, [2, 0, -4, 5, 1]~], [13, [3, 1, 0, 0, 0]~, 1, 1, [4, -5, -2, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m307(-5,2)* s298(5,2) 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(-5,2)* 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1]
Finite ramification: [[103, [-37, 1, 0, 0, 0]~, 1, 1, [39, 15, -8, 36, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m349(-3,1) s118(2,3)* 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [-2, 1, 0, 0, 0]~, 1, 1, [-6, 4, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m015(5,1)* 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 1, 0, 0]~, 1, 2, [1, -1, 1, 1, 0]~], [31, [2, 1, 0, 0, 0]~, 1, 1, [15, -8, 5, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m350(3,1) s118(-2,3) 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 1, 0, 0]~, 1, 2, [1, -1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m220(5,2) 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [-9, 1, 0, 0, 0]~, 1, 1, [-4, 12, -3, 8, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2604(5,2) 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [17, 1, 0, 0, 0]~, 1, 1, [13, -3, 9, -18, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m034(-5,2) v3184(-5,1) 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [18, 1, 0, 0, 0]~, 1, 1, [2, 6, 8, 18, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s944(-5,2)* 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [1, 1, 1, 0, 0]~, 1, 2, [-1, 0, -2, 1, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m221(-5,2)* 

Field minimum poly (root): x^5 - x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m206(2,3)* 

Field minimum poly (root): x^5 - x^4 - x^3 + 3*x^2 - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [6, 1, 0, 0, 0]~, 1, 1, [2, 4, 2, 6, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: m015(3,2) 

Field minimum poly (root): x^5 - x^4 - x^3 + 3*x^2 - 1 (4)
Real ramification: [3]
Finite ramification: [[29, [12, 1, 0, 0, 0]~, 1, 1, [12, -1, 10, -13, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s648(5,1) s649(-2,3) 

Field minimum poly (root): x^5 - x^4 - x^3 + 3*x^2 - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [-3, 1, 0, 0, 0]~, 1, 1, [-2, -3, -2, 2, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: s527(-3,2) 

Field minimum poly (root): x^5 - x^4 - x^3 + 3*x^2 - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s645(2,3)* s646(2,3)* 

Field minimum poly (root): x^5 - x^4 - x^3 + 3*x^2 - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m016(3,2)* 

Field minimum poly (root): x^5 - x^4 - x^3 + x^2 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2759(-3,1) v3427(3,1) 

Field minimum poly (root): x^5 - x^4 - x^3 + x^2 - 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2671(-2,3) 

Field minimum poly (root): x^5 - x^4 - x^3 - 6*x^2 - 7*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s707(5,1) s708(1,3) 

Field minimum poly (root): x^5 - x^4 - x^3 - x^2 + 2*x - 4 (3)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 0, 1]~, 1, 1, [2, 2, 2, 2, 1]~], [571, [362, 1, 0, 0, 0]~, 1, 1, [41, 49, 74, -155, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s595(-2,3) 

Field minimum poly (root): x^5 - x^4 - x^3 - x^2 + 2*x - 4 (3)
Real ramification: []
Finite ramification: [[2, [2, 0, 1, 0, 0]~, 1, 2, [1, 2, 1, 0, 0]~], [41, [-11, 1, 0, 0, 0]~, 1, 1, [19, -1, -15, 20, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s595(2,3)* 

Field minimum poly (root): x^5 - x^4 - x^3 - x^2 - 3*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0]~], [23, [4, 1, 0, 0, 0]~, 1, 1, [11, -9, -4, -10, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2573(-4,3) 

Field minimum poly (root): x^5 - x^4 - x^3 - x^2 - 3*x + 1 (4)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0]~], [29, [14, 1, 0, 0, 0]~, 1, 1, [13, 1, 6, -1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2530(1,3) 

Field minimum poly (root): x^5 - x^4 - x^3 - x^2 - 3*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/1
Manifolds: v2573(3,2)* 

Field minimum poly (root): x^6 + 2*x^4 + x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s495(-2,3) 

Field minimum poly (root): x^6 + 2*x^4 - 2*x^3 - x^2 - 3*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 1, 1]~], [3, [1, -1, 1, 0, 0, 0]~, 1, 2, [2, 2, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s732(-1,3)* s733(-5,1)* 

Field minimum poly (root): x^6 + 2*x^4 - 2*x^3 - x^2 - 3*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, -1, 1, 0, 0, 0]~, 1, 2, [2, 2, 2, 1, 1, 0]~], [233, [-116, 1, 0, 0, 0, 0]~, 1, 1, [5, -15, 25, -56, -116, 3]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s643(-5,1) s644(-4,3) 

Field minimum poly (root): x^6 + 2*x^4 - 2*x^3 - x^2 - 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 1]~], [3, [1, 1, 0, 0, 0, 0]~, 2, 1, [-1, 1, 1, 0, -1, 1]~], [41, [-13, 1, 0, 0, 0, 0]~, 1, 1, [19, 8, 7, 7, 13, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3458(-4,3)* 

Field minimum poly (root): x^6 + 2*x^4 - x^3 + 2*x^2 + x - 1 (4)
Real ramification: [1]
Finite ramification: [[19, [-4, 1, 0, 0, 0, 0]~, 1, 1, [4, 1, -5, -2, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s889(-3,1)* s890(4,1)* 

Field minimum poly (root): x^6 + 2*x^4 - x^3 + 2*x^2 + x - 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 1, 0, 1]~, 3, 1, [1, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1721(-1,3)* 

Field minimum poly (root): x^6 + 2*x^4 - x^3 + x^2 - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1]~, 1, 5, [1, 1, 0, 0, 0, 0]~], [13, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-6, -3, -2, 6, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s297(3,2)* 

Field minimum poly (root): x^6 + 2*x^4 - x^3 + x^2 - 1 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1]~, 1, 5, [1, 1, 0, 0, 0, 0]~], [7, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-3, 2, -3, -1, 2, 1]~], [89, [20, 1, 0, 0, 0, 0]~, 1, 1, [40, -2, -31, -43, -20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m262(-5,1) 

Field minimum poly (root): x^6 + 2*x^4 - x^3 + x^2 - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m300(-3,2) 

Field minimum poly (root): x^6 + 3*x^4 - x^3 + 2*x^2 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1]~], [2, [1, 1, 1, 0, 1, 1]~, 1, 5, [1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m010(-5,3) s497(-2,3) 

Field minimum poly (root): x^6 + 3*x^4 - x^3 + 2*x^2 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s477(-5,3) s673(-4,1) s773(-4,1)* s786(-4,1)* 

Field minimum poly (root): x^6 + 4*x^4 - 2*x^3 + 5*x^2 - 3*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1]~], [2, [3, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m306(5,2)* 

Field minimum poly (root): x^6 + 4*x^4 - 2*x^3 + 5*x^2 - 3*x + 2 (1)
Real ramification: []
Finite ramification: [[2, [3, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 1, 0]~], [1223, [-85, 1, 0, 0, 0, 0]~, 1, 1, [-518, -78, 517, -109, 85, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s296(5,2)* 

Field minimum poly (root): x^6 + 4*x^4 - 2*x^3 + 5*x^2 - 3*x + 2 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m304(5,2)* 

Field minimum poly (root): x^6 + 4*x^4 - x^3 + 4*x^2 - 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 1]~, 3, 1, [1, 1, 1, 2, 1, 0]~], [3, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m010(-5,1) s432(-5,1) s442(-5,1) s718(-4,1) s773(-3,2)* s786(-3,2)* 

Field minimum poly (root): x^6 + x^4 - 4*x^2 - 5*x - 2 (3)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 0, 1, 1]~], [3, [-1, 1, -1, -1, 0, 1]~, 2, 1, [2, 2, 2, 3, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s610(5,1)* 

Field minimum poly (root): x^6 + x^4 - 4*x^3 - x^2 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 0, 0, 0, 1]~, 1, 1, [2, 2, 1, 1, 1, 1]~], [3, [-1, -1, 1, 0, 0, 0]~, 1, 2, [-1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3208(-3,1) v3209(-3,1) 

Field minimum poly (root): x^6 + x^4 - 4*x^3 - x^2 - 2*x + 1 (3)
Real ramification: [2]
Finite ramification: [[3, [-1, -1, 1, 0, 0, 0]~, 1, 2, [-1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3157(-3,1)* v3158(3,1)* 

Field minimum poly (root): x^6 + x^4 - 7*x^3 - 2*x^2 + 7*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1]~], [13, [3, 1, 0, 0, 0, 0]~, 1, 1, [5, 5, 2, -3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1858(-2,3)* v1858(6,1)* 

Field minimum poly (root): x^6 + x^4 - 7*x^3 - 2*x^2 + 7*x + 2 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1]~], [2, [1, 1, 0, 0, 0, 0]~, 3, 1, [0, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s915(-1,3)* s916(-5,1)* 

Field minimum poly (root): x^6 + x^4 - 7*x^3 - 2*x^2 + 7*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s915(1,3) 

Field minimum poly (root): x^6 + x^4 - 7*x^3 - 2*x^2 + 7*x + 2 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 3, 1, [0, 1, 1, 0, 1, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s882(2,3)* 

Field minimum poly (root): x^6 + x^4 - 7*x^3 - 2*x^2 + 7*x + 2 (5)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2037(-2,3) v2037(2,3)* v2346(-5,1)* 

Field minimum poly (root): x^6 + x^4 - x^3 - 2*x^2 + 6*x - 4 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 1, 2, 1, 0]~], [3, [1, -1, 1, 0, 0, 0]~, 1, 2, [1, 1, 2, 2, 2, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2704(5,1) 

Field minimum poly (root): x^6 + x^4 - x^3 - 2*x^2 + 6*x - 4 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 1, 1, 2, 1]~], [2, [0, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 1, 2, 1, 0]~], [3, [1, -1, 1, 0, 0, 0]~, 1, 2, [1, 1, 2, 2, 2, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3333(1,2)* 

Field minimum poly (root): x^6 + x^4 - x^3 - 2*x^2 + 6*x - 4 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 1, 1, 2, 1]~], [2, [0, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3062(1,3)* 

Field minimum poly (root): x^6 + x^4 - x^3 - 3*x^2 - 2*x - 4 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1, 0]~], [181, [-45, 1, 0, 0, 0, 0]~, 1, 1, [-16, 55, -56, 34, 45, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m249(-2,3) 

Field minimum poly (root): x^6 + x^4 - x^3 - 3*x^2 - 2*x - 4 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1, 0]~], [2, [2, 0, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 2, 1, 0]~], [7, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, -2, 3, 2, -3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(5,1)* 

Field minimum poly (root): x^6 + x^4 - x^3 - 3*x^2 - 2*x - 4 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m303(-3,2)* 

Field minimum poly (root): x^6 - 2*x^3 - x^2 + 2*x - 4 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 0, 0, 1, 0, 1]~, 4, 1, [2, 1, 2, 1, 1, 1]~], [2, [0, 0, 0, 1, 0, 1]~, 1, 2, [1, 2, 1, 0, 0, 0]~], [1039, [-137, 1, 0, 0, 0, 0]~, 1, 1, [-364, -10, -311, 134, 274, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1809(-5,1) 

Field minimum poly (root): x^6 - 2*x^3 - x^2 + 2*x - 4 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 1, 0, 1]~, 4, 1, [2, 1, 2, 1, 1, 1]~], [569, [58, 1, 0, 0, 0, 0]~, 1, 1, [255, -181, 111, -100, -116, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s916(4,1)* 

Field minimum poly (root): x^6 - 2*x^3 - x^2 + 2*x - 4 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2229(-2,3) v2230(2,3)* 

Field minimum poly (root): x^6 - 2*x^3 - x^2 - x + 1 (3)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2209(1,3) 

Field minimum poly (root): x^6 - 2*x^3 - x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2678(3,1)* 

Field minimum poly (root): x^6 - 2*x^4 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2380(3,2)* 

Field minimum poly (root): x^6 - 2*x^4 - 2*x^3 + 2*x^2 + 2*x + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 1, 1]~], [3, [-1, 1, 1, 0, 0, 0]~, 1, 2, [-1, 0, 0, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1373(-4,1)* 

Field minimum poly (root): x^6 - 2*x^4 - 2*x^3 + 3*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m345(1,2)* 

Field minimum poly (root): x^6 - 2*x^4 - 2*x^3 + 3*x^2 - 2*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0, 0]~], [2, [0, 1, 0, 1, 1, 0]~, 2, 2, [2, 2, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s854(-4,1) 

Field minimum poly (root): x^6 - 2*x^4 - 2*x^3 + 4*x^2 + 2*x + 1 (1)
Real ramification: []
Finite ramification: [[2, [0, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 0]~], [13, [5, 1, 0, 0, 0, 0]~, 1, 1, [-2, -4, -1, -6, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s636(-1,4) v2274(-1,2) 

Field minimum poly (root): x^6 - 2*x^4 - 2*x^3 + 4*x^2 + 2*x + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 0, 0, 1]~, 1, 2, [2, 2, 2, 1, 1, 0]~], [109, [25, 1, 0, 0, 0, 0]~, 1, 1, [-30, -3, 9, 47, -50, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s618(1,4)* v2274(1,2)* 

Field minimum poly (root): x^6 - 2*x^4 - x^3 + 3*x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0]~], [109, [32, 1, 0, 0, 0, 0]~, 1, 1, [17, 54, -5, 41, -32, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s686(-2,3)* 

Field minimum poly (root): x^6 - 2*x^5 + 2*x^3 - 3*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 1]~], [29, [2, 1, 0, 0, 0, 0]~, 1, 1, [-1, -1, -14, 8, -4, 1]~], [31, [5, 1, 0, 0, 0, 0]~, 1, 1, [12, -3, 13, 4, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s349(-5,1)* 

Field minimum poly (root): x^6 - 2*x^5 + 2*x^3 - 3*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m360(3,2) m370(-2,3) 

Field minimum poly (root): x^6 - 2*x^5 + 2*x^4 + x^2 + 3*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 1]~], [3, [-1, 1, 0, 0, 0, 0]~, 2, 1, [-1, -1, 1, 1, -1, 1]~], [53, [-3, 1, 0, 0, 0, 0]~, 1, 1, [-18, -7, 15, 5, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m170(3,2) m260(-4,1)* 

Field minimum poly (root): x^6 - 2*x^5 + 2*x^4 + x^3 + 3*x^2 + x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 0]~], [2, [2, 0, 0, 0, 0, 1]~, 1, 1, [1, 2, 1, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2574(-5,1)* v2575(-5,1)* 

Field minimum poly (root): x^6 - 2*x^5 + 2*x^4 + x^3 - 2*x^2 + 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2715(-4,1)* 

Field minimum poly (root): x^6 - 2*x^5 + 2*x^4 - 2*x^2 + x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2817(3,1) v2986(1,2) 

Field minimum poly (root): x^6 - 2*x^5 + 3*x^3 - 4*x^2 + 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[17, [-7, 1, 0, 0, 0, 0]~, 1, 1, [5, -2, -7, 1, 5, 1]~], [43, [21, 1, 0, 0, 0, 0]~, 1, 1, [2, 0, 8, 10, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s763(-1,3)* 

Field minimum poly (root): x^6 - 2*x^5 + 3*x^4 - 3*x^3 + 3*x^2 - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0]~], [5, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-2, -1, -2, -2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2739(3,1) 

Field minimum poly (root): x^6 - 2*x^5 + 3*x^4 - 3*x^3 + 3*x^2 - 1 (4)
Real ramification: [2]
Finite ramification: [[5, [-2, 2, 1, 0, 0, 0]~, 1, 2, [-2, -2, -2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2757(3,2)* 

Field minimum poly (root): x^6 - 2*x^5 + 3*x^4 - 3*x^3 + 3*x^2 - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2665(4,1)* 

Field minimum poly (root): x^6 - 2*x^5 + 3*x^4 - 3*x^3 + x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s649(3,1)* 

Field minimum poly (root): x^6 - 2*x^5 + 3*x^4 - 3*x^3 + x^2 + 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0]~, 1, 1, [-1, 3, -2, -1, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s645(-3,1) s646(-3,1) 

Field minimum poly (root): x^6 - 2*x^5 + 6*x^3 - 3*x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s386(5,2)* 

Field minimum poly (root): x^6 - 2*x^5 + x^2 - x + 2 (4)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1761(1,3) v2874(-3,1)* 

Field minimum poly (root): x^6 - 2*x^5 + x^2 - x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0]~, 1, 1, [2, -3, -3, 3, -3, 1]~], [181, [-90, 1, 0, 0, 0, 0]~, 1, 1, [4, -10, 22, -44, 88, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2018(1,3) v2655(4,1)* 

Field minimum poly (root): x^6 - 2*x^5 + x^2 - x + 2 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s874(-1,3)* 

Field minimum poly (root): x^6 - 2*x^5 + x^3 + x^2 - 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 1]~], [5, [-2, 1, 0, 0, 0, 0]~, 1, 1, [1, -2, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s718(6,1)* v1368(-6,1) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + 2*x^3 - 4*x^2 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3372(3,1) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + 3*x^3 - 4*x^2 + 2 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m188(-2,3)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 + x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0]~], [41, [-17, 1, 0, 0, 0, 0]~, 1, 1, [-12, -3, 7, 10, 15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s480(-4,1)* v0953(-4,1)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 + x^2 - 2*x - 1 (4)
Real ramification: [1]
Finite ramification: [[271, [-60, 1, 0, 0, 0, 0]~, 1, 1, [131, 79, -80, -42, 58, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s254(-2,3)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 + x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m390(-4,1)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1]~], [13, [3, 1, 0, 0, 0, 0]~, 1, 1, [4, -2, 5, 3, -5, 1]~], [139, [2, 1, 0, 0, 0, 0]~, 1, 1, [69, 34, -17, 9, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s423(5,1) s424(4,3) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s882(3,1) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[7, [10, 1, 0, 0, 0, 0]~, 1, 1, [2, 1, 2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m368(4,3)* m369(-5,1) m370(-4,3) m371(5,1)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m358(-5,1)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x^2 + x + 1 (3)
Real ramification: [1]
Finite ramification: [[13, [5, 1, 0, 0, 0, 0]~, 1, 1, [-5, -4, 3, -3, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s874(3,2)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x^2 + x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m019(-2,3) s749(-2,3) v2018(-3,2) v2254(-4,1) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3238(-3,2)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x^2 + x - 1 (4)
Real ramification: [2]
Finite ramification: [[5, [7, 1, 0, 0, 0, 0]~, 1, 1, [2, 2, -2, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3138(-1,4) v3457(-2,3)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x^2 + x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3351(5,1) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 + x^3 - 2*x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0]~, 1, 1, [2, -1, -2, 1, 0, 1]~], [139, [25, 1, 0, 0, 0, 0]~, 1, 1, [-50, 52, 59, -19, -27, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3266(-3,1)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 - 2*x^3 + 3*x^2 - 2*x + 2 (3)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0, 1]~], [29, [-9, 1, 0, 0, 0, 0]~, 1, 1, [3, 7, -6, 6, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1818(-5,1)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 - 2*x^3 - x^2 + 3*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: s682(3,1) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 - 3*x^3 - x^2 + 5*x - 2 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1]~], [113, [4, 1, 0, 0, 0, 0]~, 1, 1, [56, -41, 10, 25, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3036(3,2) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 - 3*x^3 - x^2 + 5*x - 2 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1]~], [7, [3, 1, 0, 0, 0, 0]~, 1, 1, [-3, -2, -2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3513(3,1) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 - 3*x^3 - x^2 + 5*x - 2 (5)
Real ramification: [2, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1]~], [7, [3, 1, 0, 0, 0, 0]~, 1, 1, [-3, -2, -2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3377(-1,3) v3378(-1,3) 

Field minimum poly (root): x^6 - 2*x^5 + x^4 - 3*x^3 - x^2 + 5*x - 2 (5)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3214(3,2)* 

Field minimum poly (root): x^6 - 2*x^5 + x^4 - x^3 - 2*x^2 - 3*x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 1, 0, 1]~, 2, 1, [2, 1, 2, 2, 1, 0]~], [2, [2, 0, 1, 1, 0, 1]~, 1, 1, [1, 2, 1, 2, 1, 1]~], [97, [29, 1, 0, 0, 0, 0]~, 1, 1, [20, 35, -9, 27, -32, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3509(2,3)* v3510(2,3)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^3 + 3*x^2 + 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0]~, 1, 1, [-1, 0, 0, -1, -1, 1]~], [7, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 2, 3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s777(-6,1)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^3 + 4*x^2 + 2*x + 1 (1)
Real ramification: []
Finite ramification: [[2, [0, 0, 0, 0, 0, 1]~, 2, 1, [2, 2, 1, 1, 2, 1]~], [373, [153, 1, 0, 0, 0, 0]~, 1, 1, [-40, -108, 146, -158, -156, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1808(-5,1) 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 4*x^3 + 3*x^2 - x - 4 (4)
Real ramification: [2]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1]~], [2, [1, 0, 1, 1, 0, 0]~, 1, 3, [0, 1, 1, 1, 0, 0]~], [3, [1, 1, 0, 0, 0, 0]~, 2, 1, [-1, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3217(3,2) 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 4*x^3 + 3*x^2 - x - 4 (4)
Real ramification: [2]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1]~], [2, [3, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 1, 0]~], [3, [1, 1, 0, 0, 0, 0]~, 2, 1, [-1, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3207(-3,2)* v3210(-3,2)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 4*x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(-4,1) 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 + 2*x^2 - 5*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 1, 1, 1]~], [5, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-2, -1, 1, -2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m149(-1,3) 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 + 2*x^2 - 5*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m117(2,3)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 + 3*x^2 - 5*x - 2 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3133(-4,3)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 - 2*x^2 - 3*x + 2 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1]~, 1, 5, [0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m289(5,1) 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 - 2*x^2 - 3*x + 2 (5)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m189(3,2)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 - 3*x^2 + 3*x - 1 (5)
Real ramification: [3, 4]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0]~, 1, 1, [2, -2, 2, -6, 5, 1]~], [137, [-15, 1, 0, 0, 0, 0]~, 1, 1, [64, 68, 23, 56, 13, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3239(3,2)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 - 3*x^2 + 3*x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3528(4,1)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 - 3*x^2 + 3*x - 1 (5)
Real ramification: [4]
Finite ramification: [[3, [-1, -1, 0, 1, 0, 0]~, 1, 3, [1, -1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3377(3,2) v3378(3,2) 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 5*x^3 - 3*x^2 + 3*x - 1 (5)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3377(-2,3)* v3378(-2,3)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 6*x^3 - 2*x^2 - 5*x + 3 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3375(-5,2)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 6*x^3 - 2*x^2 - 5*x + 3 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3428(-6,1)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 7*x^3 - x^2 - 5*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0]~, 1, 1, [-4, 4, -6, 0, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m286(-6,1)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 7*x^3 - x^2 - 5*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s451(4,1) s480(-3,2)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 7*x^3 - x^2 - 5*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m390(-3,2)* 

Field minimum poly (root): x^6 - 2*x^5 - 2*x^4 + 9*x^3 - 6*x^2 - 2*x + 4 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 1, 1, 1, 1]~, 2, 1, [2, 1, 2, 2, 1, 0]~], [2, [2, 1, 0, 0, 0, 1]~, 1, 1, [1, 2, 2, 1, 2, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s923(-1,3) 

Field minimum poly (root): x^6 - 2*x^5 - x^4 + 4*x^3 - 2*x^2 + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s899(5,1) 

Field minimum poly (root): x^6 - 2*x^5 - x^4 + 5*x^3 - 3*x^2 - 3*x + 2 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1]~], [41, [13, 1, 0, 0, 0, 0]~, 1, 1, [-3, 0, -16, -11, -15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m195(4,1)* m249(4,1) 

Field minimum poly (root): x^6 - 2*x^5 - x^4 + 5*x^3 - 3*x^2 - 3*x + 2 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m390(-1,2) 

Field minimum poly (root): x^6 - 3*x^3 + x^2 - x + 1 (4)
Real ramification: [2]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, -2, 3, 1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1601(5,2)* v2641(4,1)* 

Field minimum poly (root): x^6 - 3*x^3 + x^2 - x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2642(4,1)* 

Field minimum poly (root): x^6 - 3*x^3 - x^2 + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 1, 1]~], [131, [-27, 1, 0, 0, 0, 0]~, 1, 1, [-34, 23, 30, -57, 27, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m390(4,1) 

Field minimum poly (root): x^6 - 3*x^3 - x^2 + 1 (4)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s442(2,3)* s480(4,1) v0953(4,1) 

Field minimum poly (root): x^6 - 3*x^5 + 10*x^4 - 15*x^3 + 21*x^2 - 14*x + 4 (1)
Real ramification: []
Finite ramification: [[13, [-6, -3, 1, 0, 0, 0]~, 1, 2, [-5, 6, 3, 0, 2, 0]~], [59, [-16, 1, 0, 0, 0, 0]~, 2, 1, [-15, -2, -9, -18, 26, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3066(-1,2) 

Field minimum poly (root): x^6 - 3*x^5 + 2*x^4 - 4*x^2 + 3*x + 3 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 1]~], [7, [-2, 1, 0, 0, 0, 0]~, 1, 1, [2, 3, 0, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3516(-4,1) v3517(-3,1)* 

Field minimum poly (root): x^6 - 3*x^5 + 3*x^3 + 3*x^2 - 2*x + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 1, 1]~, 2, 1, [1, 2, 1, 2, 2, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3216(-3,2)* 

Field minimum poly (root): x^6 - 3*x^5 + 3*x^4 + x^3 - 3*x^2 + 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1]~], [5, [2, 1, 0, 0, 0, 0]~, 1, 1, [-2, 2, 0, -2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2873(-4,1) v2874(-4,1) 

Field minimum poly (root): x^6 - 3*x^5 + 3*x^4 - x^3 + x^2 + 3*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0, 0]~], [2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0]~], [2, [0, 1, 0, 0, 1, 0]~, 2, 2, [1, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2099(2,3) 

Field minimum poly (root): x^6 - 3*x^5 + 4*x^3 - 2*x^2 - 5*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1]~], [2, [3, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 1, 0, 1, 0]~], [5, [-2, 1, 0, 0, 0, 0]~, 1, 1, [1, -2, 0, -2, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2123(1,3)* 

Field minimum poly (root): x^6 - 3*x^5 + 4*x^3 - 2*x^2 - 5*x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2347(-4,1)* 

Field minimum poly (root): x^6 - 3*x^5 + 4*x^3 - 2*x^2 - 5*x - 2 (3)
Real ramification: [2]
Finite ramification: [[37, [9, 1, 0, 0, 0, 0]~, 1, 1, [8, 15, -6, -3, -12, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s915(4,1) 

Field minimum poly (root): x^6 - 3*x^5 + 4*x^3 - 2*x^2 - 5*x - 2 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s915(-4,1)* 

Field minimum poly (root): x^6 - 3*x^5 + 4*x^4 - 2*x^3 - 2*x^2 - 4*x + 8 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 0, 1, 0]~, 3, 1, [2, 2, 1, 1, 0, 0]~], [2, [3, 1, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 1, 0, 0]~], [5, [1, 1, 0, 0, 0, 0]~, 1, 1, [-2, 1, -2, -2, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2873(5,1) v2874(5,1) 

Field minimum poly (root): x^6 - 3*x^5 + 4*x^4 - 2*x^3 - 2*x^2 - 4*x + 8 (4)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 1, 0, 0]~], [2, [2, 0, 1, 0, 1, 0]~, 1, 2, [1, 1, 1, 1, 1, 0]~], [5, [1, 1, 0, 0, 0, 0]~, 1, 1, [-2, 1, -2, -2, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3106(-1,3)* v3107(4,1) 

Field minimum poly (root): x^6 - 3*x^5 + 4*x^4 - 2*x^3 - 2*x^2 - 4*x + 8 (4)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 1, 0, 0]~], [2, [2, 0, 1, 0, 1, 0]~, 1, 2, [1, 1, 1, 1, 1, 0]~], [5, [1, 1, 0, 0, 0, 0]~, 1, 1, [-2, 1, -2, -2, 0, -1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3109(-4,1)* v3110(1,3) 

Field minimum poly (root): x^6 - 3*x^5 + 4*x^4 - 5*x^2 + 6*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s554(-1,3) 

Field minimum poly (root): x^6 - 3*x^5 + 5*x^4 - 3*x^3 - x^2 + 4*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1]~], [3, [1, 1, 0, 0, 0, 0]~, 1, 1, [-1, -1, 0, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(-3,2)* 

Field minimum poly (root): x^6 - 3*x^5 + 5*x^4 - x^3 - 2*x^2 + 2*x + 1 (1)
Real ramification: []
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0]~, 2, 1, [-1, 0, -1, 0, 1, 1]~], [7, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, -3, 2, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2875(-2,3) v2875(2,3)* 

Field minimum poly (root): x^6 - 3*x^5 + x^4 + 8*x^2 - 3*x - 8 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 1, 1, 1]~, 2, 1, [2, 2, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2307(-3,2) 

Field minimum poly (root): x^6 - 3*x^5 + x^4 + 8*x^2 - 3*x - 8 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 0]~], [2, [1, 0, 0, 1, 1, 1]~, 2, 1, [2, 2, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3216(3,1)* 

Field minimum poly (root): x^6 - 4*x^4 - 2*x^3 + 3*x^2 + 5*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s952(-4,1) 

Field minimum poly (root): x^6 - 4*x^4 - 8*x^3 - 9*x^2 - 3*x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3102(1,3) 

Field minimum poly (root): x^6 - 6*x^4 - 5*x^3 + 16*x^2 + 8*x + 8 (1)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 1, 1, 1]~], [2, [1, 1, 1, 0, 1, 1]~, 1, 2, [1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3066(4,1)* 

Field minimum poly (root): x^6 - 6*x^4 - 5*x^3 + 16*x^2 + 8*x + 8 (1)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0, 0]~], [2, [1, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 1, 1, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 0, 0]~], [11, [3, 1, 0, 0, 0, 0]~, 1, 1, [4, 4, 3, 1, -5, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3066(-4,1)* 

Field minimum poly (root): x^6 - 9*x^3 - 10*x^2 - x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m192(-5,2) 

Field minimum poly (root): x^6 - x^3 + x^2 + x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3047(5,2) 

Field minimum poly (root): x^6 - x^3 - x - 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 1, 1, 1]~], [2, [1, 0, 1, 1, 0, 0]~, 1, 3, [1, 1, 1, 1, 0, 0]~], [181, [4, 1, 0, 0, 0, 0]~, 1, 1, [45, 79, -65, 16, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s297(2,3)* 

Field minimum poly (root): x^6 - x^3 - x - 1 (4)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 1, 1, 1]~], [2, [1, 0, 1, 1, 0, 0]~, 1, 3, [1, 1, 1, 1, 0, 0]~], [23, [-9, 1, 0, 0, 0, 0]~, 1, 1, [-5, -3, -8, -11, 9, 1]~], [89, [-20, 1, 0, 0, 0, 0]~, 1, 1, [-40, -42, -11, 44, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m320(-5,1) 

Field minimum poly (root): x^6 - x^3 - x - 1 (4)
Real ramification: [1]
Finite ramification: [[7949, [2564, 1, 0, 0, 0, 0]~, 1, 1, [1330, -2397, -461, 273, -2564, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m303(2,3)* 

Field minimum poly (root): x^6 - x^4 + x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[17, [4, 1, 0, 0, 0, 0]~, 1, 1, [4, 3, 8, -2, -4, 1]~], [19, [5, 1, 0, 0, 0, 0]~, 1, 1, [-4, -7, -6, 5, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s929(1,3)* s957(-1,3)* s960(-1,3)* 

Field minimum poly (root): x^6 - x^4 - 2*x^3 - x^2 + 3*x - 1 (4)
Real ramification: [2]
Finite ramification: [[11, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-5, -4, 4, 3, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m343(-4,1) 

Field minimum poly (root): x^6 - x^4 - x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0]~, 1, 1, [-2, -2, -2, -4, -6, 1]~], [43, [-2, 1, 0, 0, 0, 0]~, 1, 1, [21, 11, 6, 3, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m030(5,3)* 

Field minimum poly (root): x^6 - x^4 - x^2 - x + 1 (3)
Real ramification: []
Finite ramification: [[3, [-1, -1, 1, 0, 0, 0]~, 1, 2, [-1, -1, 1, 1, 1, 0]~], [191, [-79, 1, 0, 0, 0, 0]~, 1, 1, [29, 85, -11, -63, 79, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2920(-3,2) 

Field minimum poly (root): x^6 - x^4 - x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2919(-3,2) 

Field minimum poly (root): x^6 - x^4 - x^3 + 2*x^2 + 2*x + 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1]~], [3, [1, 0, 1, 0, 0, 0]~, 1, 2, [1, -1, 1, 0, 1, 0]~], [11, [-4, 1, 0, 0, 0, 0]~, 1, 1, [-3, -4, 4, 4, 4, 1]~], [17, [-3, 1, 0, 0, 0, 0]~, 1, 1, [-6, 3, 6, 8, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s676(5,1) s677(1,3) 

Field minimum poly (root): x^6 - x^4 - x^3 + 2*x^2 + 2*x + 1 (2)
Real ramification: []
Finite ramification: [[3, [1, 0, 1, 0, 0, 0]~, 1, 2, [1, -1, 1, 0, 1, 0]~], [11, [-4, 1, 0, 0, 0, 0]~, 1, 1, [-3, -4, 4, 4, 4, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s639(-1,3) s640(-5,1) 

Field minimum poly (root): x^6 - x^4 - x^3 + 2*x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0]~, 1, 1, [4, -1, 1, -5, -3, 1]~], [29, [12, 1, 0, 0, 0, 0]~, 1, 1, [12, -13, -6, -2, -12, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m029(-5,1)* m030(2,3)* v2296(-2,3)* v2297(-2,3)* 

Field minimum poly (root): x^6 - x^4 - x^3 + 2*x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m036(-1,3) 

Field minimum poly (root): x^6 - x^4 - x^3 + x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0]~, 1, 2, [1, 0, 1, -1, 1, 0]~], [7, [2, 2, 1, 0, 0, 0]~, 1, 2, [3, 1, 1, -2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m220(-5,1) 

Field minimum poly (root): x^6 - x^4 - x^3 + x - 1 (4)
Real ramification: [2]
Finite ramification: [[61, [3, 1, 0, 0, 0, 0]~, 1, 1, [20, 14, -25, 8, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m221(5,1)* 

Field minimum poly (root): x^6 - x^4 - x^3 + x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0]~], [43, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-21, 11, 5, 3, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(1,3)* 

Field minimum poly (root): x^6 - x^4 - x^3 - x^2 + 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0]~], [2, [1, 1, 1, 1, 1, 0]~, 1, 4, [1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m100(2,3) 

Field minimum poly (root): x^6 - x^4 - x^3 - x^2 + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m069(3,4) v3519(1,2) 

Field minimum poly (root): x^6 - x^4 - x^3 - x^2 + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0]~], [2, [1, 1, 1, 1, 1, 0]~, 1, 4, [1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m078(5,1) 

Field minimum poly (root): x^6 - x^5 + 2*x^3 + 3*x^2 - 4*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m149(-3,2)* 

Field minimum poly (root): x^6 - x^5 + 2*x^3 + 3*x^2 - 4*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m142(2,3) 

Field minimum poly (root): x^6 - x^5 + 2*x^3 - 2*x^2 + 1 (3)
Real ramification: [2]
Finite ramification: [[367, [22, 1, 0, 0, 0, 0]~, 1, 1, [-50, 69, -120, 139, -23, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m291(-3,2) 

Field minimum poly (root): x^6 - x^5 + 2*x^3 - 2*x^2 + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m006(3,2)* v3516(1,2)* 

Field minimum poly (root): x^6 - x^5 + 2*x^3 - 2*x^2 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0]~, 1, 1, [-1, -2, 0, 2, -2, 1]~], [43, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-21, 10, 6, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m007(5,2) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 + 2*x^3 + 4*x^2 - 4*x + 8 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 0, 0]~], [2, [2, 1, 1, 0, 1, 0]~, 1, 1, [1, 2, 1, 2, 2, 1]~], [2, [1, 1, 1, 0, 0, 1]~, 2, 2, [2, 1, 1, 0, 0, 0]~], [3, [-1, 1, 0, 0, 0, 0]~, 1, 1, [1, -1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s707(-5,1) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 + x^3 + x^2 + 3*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 1]~], [19, [-6, 1, 0, 0, 0, 0]~, 1, 1, [3, 0, 3, -6, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(2,3)* m286(-7,1)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 + x^3 + x^2 + 3*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 1]~], [3, [-1, -1, 1, 0, 0, 0]~, 1, 2, [-1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s227(-2,3) s254(-5,1)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 + x^3 - 2*x^2 + 4*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1]~, 3, 1, [1, 2, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s254(-1,3) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 + x^3 - x^2 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s690(-4,1) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 + x^3 - x^2 + 3*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1]~, 1, 5, [1, 1, 0, 0, 0, 0]~], [29, [6, 1, 0, 0, 0, 0]~, 1, 1, [-5, 11, -2, -14, -7, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s793(1,2)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 + x^3 - x^2 + 3*x - 1 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 1]~], [2, [1, 0, 1, 0, 0, 1]~, 1, 5, [1, 1, 0, 0, 0, 0]~], [17, [3, 1, 0, 0, 0, 0]~, 1, 1, [-6, 3, -7, -3, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s554(-3,1) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - 2*x^2 + 3*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 1]~], [29, [-3, 1, 0, 0, 0, 0]~, 1, 1, [10, 12, -5, 8, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3505(9,1)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - 2*x^3 + x^2 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2703(-1,3)* v3491(-2,1) v3493(-2,1) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - 2*x^3 + x^2 - 2*x - 1 (3)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2677(-5,1)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - 2*x^3 + x^2 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2678(1,3) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - 2*x^3 + x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m117(1,3) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - 2*x^3 - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3205(1,3) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - 3*x^3 - 2*x^2 - 4*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0]~, 1, 3, [1, 1, 1, 1, 0, 0]~], [3, [-1, -1, 1, 0, 0, 0]~, 2, 2, [0, 0, -1, -1, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s677(-1,3)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - 3*x^3 - x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 3, 2, [1, 0, 1, 0, 1, 0]~], [3, [4, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, -1, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m352(-1,4)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^2 + 2*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 1]~], [17, [-6, 1, 0, 0, 0, 0]~, 1, 1, [6, -5, 5, -2, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3187(4,1) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^3 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 3, 1, [1, 1, 1, 0, 0, 1]~], [29, [-6, 1, 0, 0, 0, 0]~, 1, 1, [5, -14, -12, 3, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s649(3,2)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^3 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s645(-3,2) s646(-3,2) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^3 + 2*x^2 - 2*x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s777(-1,2) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^3 + x^2 + 1 (3)
Real ramification: []
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, -1, 0, 1]~], [17, [-5, 1, 0, 0, 0, 0]~, 1, 1, [-7, 2, 7, 5, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s420(-4,3)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^3 + x^2 + 1 (3)
Real ramification: []
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, -1, 0, 1]~], [1801, [-754, 1, 0, 0, 0, 0]~, 1, 1, [-461, -3, -43, 449, 753, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s514(-5,1) 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^3 + x^2 + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 0]~], [2, [0, 1, 0, 0, 1, 1]~, 2, 1, [1, 1, 1, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s896(3,1)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^3 + x^2 - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0]~, 1, 1, [-1, 1, 0, -1, -2, 1]~], [101, [-4, 1, 0, 0, 0, 0]~, 1, 1, [-25, 19, -46, 14, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m036(-5,2)* 

Field minimum poly (root): x^6 - x^5 + 2*x^4 - x^3 + x^2 - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m032(-6,1) m033(2,3) v2468(3,2) v2469(3,2) 

Field minimum poly (root): x^6 - x^5 + 3*x^3 - 5*x^2 + 5*x - 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1]~], [5, [2, 1, 0, 0, 0, 0]~, 1, 1, [-1, -2, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m162(4,3)* m247(3,1) 

Field minimum poly (root): x^6 - x^5 + 3*x^4 + 6*x^3 + 9*x^2 + 2*x - 2 (4)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 1]~], [2, [0, 1, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 1, 0, 1]~], [2, [1, 1, 0, 1, 0, 0]~, 1, 3, [0, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3187(-6,1) 

Field minimum poly (root): x^6 - x^5 + 3*x^4 - 2*x^3 + 2*x^2 - 1 (3)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2050(3,2)* 

Field minimum poly (root): x^6 - x^5 + 3*x^4 - 2*x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s777(3,2) 

Field minimum poly (root): x^6 - x^5 + 3*x^4 - 5*x^3 + 3*x^2 - 3*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2086(-1,2)* 

Field minimum poly (root): x^6 - x^5 + 3*x^4 - x^3 + 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2914(4,1) 

Field minimum poly (root): x^6 - x^5 + 3*x^4 - x^3 + 3*x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[11, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, -2, 5, 5, -2, 1]~], [59, [14, 1, 0, 0, 0, 0]~, 1, 1, [-21, -7, 26, -23, -15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3508(4,1) v3509(4,3) v3510(4,3) v3511(4,1) 

Field minimum poly (root): x^6 - x^5 + 4*x^4 - 3*x^3 + 4*x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 3, 1, [1, 1, 1, 0, 0, 1]~], [2, [1, 1, 0, 1, 0, 0]~, 1, 3, [1, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m010(-5,2)* s458(3,2) 

Field minimum poly (root): x^6 - x^5 + 4*x^4 - 3*x^3 + 4*x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0]~, 1, 1, [3, 1, -2, 3, -3, 1]~], [7, [1, 1, 0, 0, 0, 0]~, 1, 1, [-1, -1, -2, -1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s437(-5,2)* s777(4,1) 

Field minimum poly (root): x^6 - x^5 + 5*x^3 - 4*x^2 - 4*x + 2 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 3, 1, [1, 0, 1, 1, 1, 1]~], [5, [3, 1, 0, 0, 0, 0]~, 1, 1, [-2, -1, 1, 1, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s478(-5,1) s479(5,1)* s480(-1,3) s500(-4,1) 

Field minimum poly (root): x^6 - x^5 + 5*x^3 - 4*x^2 - 4*x + 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 3, 1, [1, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s882(1,2) 

Field minimum poly (root): x^6 - x^5 + 5*x^3 - 4*x^2 - 4*x + 2 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v1315(-4,1)* 

Field minimum poly (root): x^6 - x^5 + 5*x^3 - 4*x^2 - 4*x + 2 (5)
Real ramification: [3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m389(5,1)* m390(-1,3) 

Field minimum poly (root): x^6 - x^5 + x^3 - 3*x^2 + 5*x - 2 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 2, 1, 0, 3]~, 1, 5, [0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2313(-5,1)* 

Field minimum poly (root): x^6 - x^5 + x^3 - 3*x^2 + 5*x - 2 (4)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2585(-4,1) 

Field minimum poly (root): x^6 - x^5 + x^4 + 2*x^3 - 4*x^2 + 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m004(7,1) v3543(-1,3)* 

Field minimum poly (root): x^6 - x^5 + x^4 + 4*x^3 - 3*x^2 + x + 1 (4)
Real ramification: [1]
Finite ramification: [[3, [-1, -1, 1, 0, 0, 0]~, 1, 2, [1, -1, -1, -1, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2392(4,1)* v3212(-1,2)* 

Field minimum poly (root): x^6 - x^5 + x^4 + 4*x^3 - 3*x^2 + x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2593(4,1) v3208(-1,2)* v3209(-1,2)* 

Field minimum poly (root): x^6 - x^5 + x^4 - 2*x^3 + x^2 + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2274(-3,2)* v2274(3,2) 

Field minimum poly (root): x^6 - x^5 + x^4 - 6*x^3 + 2*x^2 - 4*x + 8 (4)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 1, 1, 1]~, 2, 1, [2, 1, 1, 1, 0, 0]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1676(-5,1) 

Field minimum poly (root): x^6 - x^5 + x^4 - 6*x^3 + 2*x^2 - 4*x + 8 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 1, 1, 1]~, 2, 1, [2, 1, 1, 1, 0, 0]~], [37, [6, 1, 0, 0, 0, 0]~, 1, 1, [-11, -7, 3, 15, -16, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s821(-2,3) 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + 2*x^3 - 2*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2596(1,3) v2874(-3,2)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + 2*x^3 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 1]~], [67, [22, 1, 0, 0, 0, 0]~, 1, 1, [3, 12, -31, -32, -23, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s835(-2,3) 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + 3*x^3 + 4*x^2 - 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, -1, -1, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3526(4,1)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + 3*x^3 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2910(2,3)* v2911(6,1) v3049(4,1) v3543(-3,1)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + 3*x^3 - x^2 - 2*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[67, [-8, 1, 0, 0, 0, 0]~, 1, 1, [25, -5, 33, -13, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m378(-3,1)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + 3*x^3 - x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m222(-6,1) 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + 3*x^3 - x^2 - 2*x + 1 (5)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m219(-1,4) m340(5,1)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + 5*x^3 - x^2 - 3*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2678(-1,3) 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + x^3 + 2*x^2 + x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m168(-3,1) 

Field minimum poly (root): x^6 - x^5 - 2*x^4 + x^3 + 2*x^2 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0]~, 1, 3, [1, 1, 1, 1, 0, 0]~], [29, [6, 1, 0, 0, 0, 0]~, 1, 1, [-5, -14, -7, 11, -7, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s764(-2,3) 

Field minimum poly (root): x^6 - x^5 - 2*x^4 - 2*x^3 + 2*x^2 + 3*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3509(-2,3)* v3510(-2,3)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 - 2*x^3 + 2*x^2 + 4*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s773(-2,3)* s781(-1,3) s786(-2,3)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 - 2*x^3 + x^2 + 3*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0]~, 1, 1, [2, 2, -2, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m015(7,1)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 - 2*x^3 + x^2 + 3*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: m015(-3,2)* 

Field minimum poly (root): x^6 - x^5 - 2*x^4 - 3*x^3 + 3*x^2 + 3*x - 2 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m004(3,2) m400(-2,3)* s755(-3,2)* s961(1,2) v3184(-3,2)* 

Field minimum poly (root): x^6 - x^5 - 3*x^3 + 2*x^2 + x + 1 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2274(-2,3)* v2274(-6,1) v2274(2,3) v2274(6,1)* 

Field minimum poly (root): x^6 - x^5 - 3*x^3 + 6*x^2 - 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 0, 1, 1]~, 1, 2, [1, 1, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m262(-2,3) 

Field minimum poly (root): x^6 - x^5 - 3*x^3 - 3*x^2 + 5*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3361(1,3)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 2*x^3 + 4*x^2 - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m145(1,3)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 2*x^3 + 4*x^2 - 2 (3)
Real ramification: [1]
Finite ramification: [[97, [13, 1, 0, 0, 0, 0]~, 1, 1, [-30, -35, 3, -15, -14, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3356(4,1)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 2*x^3 + 6*x^2 - 3*x - 4 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 1]~], [2, [1, 0, 1, 1, 0, 0]~, 1, 3, [0, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3216(1,2) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 3*x^3 + 3*x^2 - 4*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1]~], [37, [10, 1, 0, 0, 0, 0]~, 1, 1, [11, 17, 6, -4, -11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2439(1,4) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 3*x^3 + 5*x^2 - 3*x - 3 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0]~, 2, 1, [0, -1, 0, 0, -1, 1]~], [19, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-8, 7, 1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m293(-1,3) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 3*x^3 + x^2 - 4*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 1, 1]~], [3, [1, 1, 0, 0, 0, 0]~, 1, 1, [-1, 0, 1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m294(1,4)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 4*x^3 - 2*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0]~, 1, 2, [0, 0, 0, 0, 1, 0]~], [317, [-119, 1, 0, 0, 0, 0]~, 1, 1, [-16, -112, 55, 91, 118, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m147(-1,4)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 5*x^3 + x^2 - 3*x + 1 (4)
Real ramification: [1]
Finite ramification: [[71, [-21, 1, 0, 0, 0, 0]~, 1, 1, [27, -29, 29, -9, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2873(5,2) v2874(5,2) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 5*x^3 + x^2 - 4*x - 1 (5)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1]~], [11, [-3, 1, 0, 0, 0, 0]~, 1, 1, [4, -1, 3, 3, 2, 1]~], [83, [28, 1, 0, 0, 0, 0]~, 1, 1, [-3, -3, 12, -21, -29, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s423(5,3)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 5*x^3 + x^2 - 4*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1]~], [71, [15, 1, 0, 0, 0, 0]~, 1, 1, [-19, 1, 0, 24, -16, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s480(1,3) s518(4,1)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 5*x^3 + x^2 - 4*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m390(1,3) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 5*x^3 + x^2 - 4*x - 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m358(-5,3) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 5*x^3 - 4*x + 3 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, 0, -1, 1]~], [19, [-2, 1, 0, 0, 0, 0]~, 1, 1, [8, 6, 3, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m293(-3,1) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 7*x^3 - 2*x^2 - 4*x + 4 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 0, 1, 1, 0, 1]~, 3, 1, [2, 1, 1, 1, 1, 0]~], [2, [1, 1, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 0, 1, 0]~], [7, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-2, 1, -3, -2, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3293(-1,3) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 8*x^3 - 3*x^2 - 7*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 0, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3259(3,1)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 8*x^3 - 3*x^2 - 7*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 1]~, 2, 1, [2, 2, 2, 1, 1, 0]~], [2, [0, 0, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 2, 1, 0]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 0, 0]~], [13, [2, 1, 0, 0, 0, 0]~, 1, 1, [-4, -6, 1, -6, -6, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(-2,3)* v2789(2,3) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + 8*x^3 - 3*x^2 - 7*x + 1 (5)
Real ramification: [2]
Finite ramification: [[2, [1, 0, 0, 0, 0, 1]~, 2, 1, [2, 2, 2, 1, 1, 0]~], [2, [0, 0, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 2, 1, 0]~], [2, [1, 1, 1, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2787(2,3) v2789(-2,3)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 + x^3 + 5*x^2 - 2 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2944(-4,1)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 - x^3 + 2*x^2 + 2*x - 1 (5)
Real ramification: [3]
Finite ramification: [[13, [-2, 1, 0, 0, 0, 0]~, 1, 1, [-6, -4, -3, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m338(-3,1) s118(-1,3)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 - x^3 + 2*x^2 + 2*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m206(1,3) 

Field minimum poly (root): x^6 - x^5 - 3*x^4 - x^3 + 2*x^2 + 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m275(-3,2)* 

Field minimum poly (root): x^6 - x^5 - 3*x^4 - x^3 + 2*x^2 + 2*x - 1 (5)
Real ramification: [3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m337(-3,1)* s117(-5,1) 

Field minimum poly (root): x^6 - x^5 - 4*x^4 + 4*x^3 + 4*x^2 - 2*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[13, [-3, 1, 0, 0, 0, 0]~, 1, 1, [-4, -5, -3, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m034(4,1)* 

Field minimum poly (root): x^6 - x^5 - 4*x^4 + 4*x^3 + 4*x^2 - 2*x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[7, [3, 1, 0, 0, 0, 0]~, 1, 1, [2, 1, 1, 1, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s645(4,1) s646(4,1) 

Field minimum poly (root): x^6 - x^5 - 4*x^4 + 4*x^3 + 4*x^2 - 2*x - 1 (5)
Real ramification: [3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s649(-4,1)* 

Field minimum poly (root): x^6 - x^5 - 4*x^4 + 8*x^3 + 9*x^2 - 10*x - 7 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0]~, 1, 3, [1, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3428(-4,1)* 

Field minimum poly (root): x^6 - x^5 - x^3 + 2*x^2 - x + 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3184(-7,1) 

Field minimum poly (root): x^6 - x^5 - x^4 + 2*x^3 - 2*x^2 - x + 1 (5)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: s648(1,2) 

Field minimum poly (root): x^6 - x^5 - x^4 + 2*x^3 - x + 1 (3)
Real ramification: []
Finite ramification: [[2, [2, 0, 0, 0, 0, 0]~, 1, 6, [1, 0, 0, 0, 0, 0]~], [13, [-2, -4, 1, 0, 0, 0]~, 1, 2, [6, -5, 0, 3, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m168(2,3) 

Field minimum poly (root): x^6 - x^5 - x^4 + 2*x^3 - x + 1 (3)
Real ramification: []
Finite ramification: [[3, [-1, -1, 1, 0, 0, 0]~, 1, 2, [-1, -1, 0, 0, 1, 0]~], [3, [-1, -1, 0, 0, 1, 0]~, 1, 4, [-1, -1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3177(-2,3) 

Field minimum poly (root): x^6 - x^5 - x^4 + 4*x^3 - 2*x^2 - 3*x + 3 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2875(4,1)* 

Field minimum poly (root): x^6 - x^5 - x^4 + 4*x^3 - x^2 + x + 1 (4)
Real ramification: [1]
Finite ramification: [[41, [17, 1, 0, 0, 0, 0]~, 1, 1, [5, -15, -16, -6, 5, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2209(3,2) 

Field minimum poly (root): x^6 - x^5 - x^4 + 5*x^3 + x^2 - 3*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3243(-3,1)* v3247(3,1) 

Field minimum poly (root): x^6 - x^5 - x^4 + x^3 + 2*x^2 - x - 2 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s939(-1,2) 

Field minimum poly (root): x^6 - x^5 - x^4 + x^3 + x^2 + x - 1 (3)
Real ramification: [2]
Finite ramification: [[13, [-4, 1, 0, 0, 0, 0]~, 1, 1, [-3, -1, 6, -2, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m160(-5,3)* 

Field minimum poly (root): x^6 - x^5 - x^4 - x^2 - x + 1 (3)
Real ramification: []
Finite ramification: [[2, [3, 1, 1, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 1, 0]~], [31, [1, 4, 1, 0, 0, 0]~, 1, 2, [1, -5, -13, -5, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m290(-3,4) 

Field minimum poly (root): x^7 + 2*x^5 - 2*x^4 + 3*x^3 - 3*x^2 + 4*x - 1 (2)
Real ramification: []
Finite ramification: [[13, [4, 1, 0, 0, 0, 0, 0]~, 1, 1, [4, -4, 0, 5, 6, -3, 4]~], [31, [12, 1, 0, 0, 0, 0, 0]~, 1, 1, [-12, 3, 2, 14, -8, -11, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s403(-6,1) 

Field minimum poly (root): x^7 + 2*x^5 - 2*x^4 + 3*x^3 - 3*x^2 + 4*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s478(3,2)* s479(-3,2) 

Field minimum poly (root): x^7 + 2*x^5 - 2*x^4 + 3*x^3 - 3*x^2 + 4*x - 1 (2)
Real ramification: [1]
Finite ramification: [[347, [-9, 1, 0, 0, 0, 0, 0]~, 1, 1, [-76, -10, 115, 52, 84, 10, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m389(-3,2) 

Field minimum poly (root): x^7 + 2*x^5 - 5*x^4 - 6*x^3 + 3*x^2 + 3*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s939(1,2) 

Field minimum poly (root): x^7 + 2*x^5 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 1, 1, 1, 0, 1]~, 3, 1, [1, 1, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1727(-4,3)* 

Field minimum poly (root): x^7 + 2*x^5 - x^4 + 2*x^3 - 3*x^2 - x + 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0]~, 1, 3, [1, 0, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3221(-3,2)* v3228(3,2) 

Field minimum poly (root): x^7 + 2*x^5 - x^4 + 2*x^3 - x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s773(4,1)* s781(-5,1) s786(4,1)* 

Field minimum poly (root): x^7 + 3*x^5 - x^4 + 2*x^3 - 2*x^2 - 2 (2)
Real ramification: [1]
Finite ramification: [[19, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, -9, -6, 4, 7, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3200(5,1)* 

Field minimum poly (root): x^7 + 3*x^5 - x^4 + 4*x^2 - 4*x + 1 (4)
Real ramification: [1]
Finite ramification: [[647, [-132, 1, 0, 0, 0, 0, 0]~, 1, 1, [-300, -214, -184, 277, -42, 131, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2873(2,3)* v2874(2,3)* 

Field minimum poly (root): x^7 + x^3 - 2*x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3122(5,1)* 

Field minimum poly (root): x^7 + x^5 + x^3 - x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[2887, [-1321, 1, 0, 0, 0, 0, 0]~, 1, 1, [-872, 1103, -1317, 270, 1294, 1321, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3201(1,3) 

Field minimum poly (root): x^7 + x^5 - 3*x^4 - 2*x^3 + 4*x^2 + x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [4, -1, 6, 6, -3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3318(-3,1)* v3318(1,3)* 

Field minimum poly (root): x^7 + x^5 - 3*x^4 - 2*x^3 + 4*x^2 + x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, -4, -4, -2, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3349(-1,3)* 

Field minimum poly (root): x^7 + x^5 - 3*x^4 - 3*x^3 - 2*x^2 + x + 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 0, 0, 1, 0, 0, 0]~, 2, 2, [1, 2, 1, 1, 1, 0, 0]~], [3, [-1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, -1, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1882(-5,1) 

Field minimum poly (root): x^7 + x^5 - x^4 + 2*x^3 + 3*x^2 - x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 1]~], [13, [-6, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 2, 0, -2, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m223(-5,1) 

Field minimum poly (root): x^7 + x^5 - x^4 + 2*x^3 + 3*x^2 - x - 1 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 1]~], [17, [-4, 1, 0, 0, 0, 0, 0]~, 1, 1, [-4, -5, -2, -1, 0, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m222(1,3)* 

Field minimum poly (root): x^7 + x^5 - x^4 + 3*x^3 - 4*x^2 + 3*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 4, 1, [1, 0, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2876(-2,3)* v2877(6,1)* v2964(4,1) 

Field minimum poly (root): x^7 - 2*x^4 + 3*x^3 + x^2 - 3*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [-15, 1, 0, 0, 0, 0, 0]~, 1, 1, [-5, -10, -18, 6, 3, 15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3543(1,2)* 

Field minimum poly (root): x^7 - 2*x^4 - 2*x^3 + x^2 + 2*x - 1 (4)
Real ramification: [1]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -2, 0, -1, -2, 1]~], [37, [9, 1, 0, 0, 0, 0, 0]~, 1, 1, [4, 8, -9, 9, 7, -9, 1]~], [113, [-9, 1, 0, 0, 0, 0, 0]~, 1, 1, [-25, -3, -13, 49, -32, 9, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3110(3,2)* 

Field minimum poly (root): x^7 - 2*x^4 - 2*x^3 + x^2 + 2*x - 1 (4)
Real ramification: [1]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -2, 0, -1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3106(-3,2) 

Field minimum poly (root): x^7 - 2*x^4 - 3*x^3 - 3*x^2 - 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[11, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 4, -4, -1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2018(4,1) 

Field minimum poly (root): x^7 - 2*x^4 - 3*x^3 - 3*x^2 - 3*x - 1 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s874(-4,1)* 

Field minimum poly (root): x^7 - 2*x^5 + 2*x^3 - x^2 + 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 1, 0]~], [97, [25, 1, 0, 0, 0, 0, 0]~, 1, 1, [-31, 9, 19, 42, 41, -25, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3266(-4,1) 

Field minimum poly (root): x^7 - 2*x^5 + 2*x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0]~, 1, 5, [1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m168(1,3)* 

Field minimum poly (root): x^7 - 2*x^5 + 2*x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[41, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [14, 9, -17, 20, 7, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3291(-2,3) 

Field minimum poly (root): x^7 - 2*x^5 + x^3 - x^2 - x + 1 (4)
Real ramification: [2, 3]
Finite ramification: [[29, [-12, 1, 0, 0, 0, 0, 0]~, 1, 1, [12, -11, 4, -7, -3, 12, 1]~], [43, [18, 1, 0, 0, 0, 0, 0]~, 1, 1, [12, 16, 11, 9, 21, -18, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m116(-4,3)* 

Field minimum poly (root): x^7 - 2*x^5 + x^3 - x^2 - x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m145(2,3)* 

Field minimum poly (root): x^7 - 2*x^5 - 3*x^4 + 5*x^3 + x^2 - 3*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 1, 1]~], [337, [-79, 1, 0, 0, 0, 0, 0]~, 1, 1, [64, -93, 50, -153, -164, 79, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s424(-3,2) 

Field minimum poly (root): x^7 - 2*x^5 - 3*x^4 + 7*x^3 - 4*x^2 - 6*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 1, 1, 1, 0, 0]~, 3, 1, [2, 1, 2, 1, 2, 1, 0]~], [2, [1, 0, 1, 1, 1, 0, 0]~, 2, 1, [1, 1, 2, 2, 2, 1, 0]~], [2, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3200(-5,1) 

Field minimum poly (root): x^7 - 2*x^5 - 3*x^4 - 3*x^3 + 3*x^2 + 4*x + 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m032(5,2) 

Field minimum poly (root): x^7 - 2*x^5 - 3*x^4 - x^3 + 5*x^2 - 8*x + 4 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [2, 0, 0, 0, 1, 0, 0]~, 1, 2, [1, 2, 1, 1, 1, 0, 0]~], [67, [-22, 1, 0, 0, 0, 0, 0]~, 1, 1, [-30, -12, -3, -10, -13, 21, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2643(4,1)* 

Field minimum poly (root): x^7 - 2*x^5 - 3*x^4 - x^3 + 5*x^2 - 8*x + 4 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [2, 0, 0, 0, 1, 0, 0]~, 1, 2, [1, 2, 1, 1, 1, 0, 0]~], [7, [-3, 1, 0, 0, 0, 0, 0]~, 1, 1, [-3, 3, 0, -2, 0, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2640(-4,1) 

Field minimum poly (root): x^7 - 2*x^5 - x^4 + 2*x^3 + 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[43, [6, 1, 0, 0, 0, 0, 0]~, 1, 1, [7, 6, -15, 10, -9, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m154(2,3)* 

Field minimum poly (root): x^7 - 2*x^5 - x^4 + 2*x^3 + 2*x^2 - 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m117(4,1) 

Field minimum poly (root): x^7 - 2*x^5 - x^4 + 2*x^3 - 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[3769, [674, 1, 0, 0, 0, 0, 0]~, 1, 1, [-699, 1002, 636, 1576, -1775, -674, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2542(-3,1)* 

Field minimum poly (root): x^7 - 2*x^5 - x^4 + 4*x^3 - x^2 - 3*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0]~, 1, 3, [1, 0, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3347(-3,1) 

Field minimum poly (root): x^7 - 2*x^5 - x^4 + 4*x^3 - x^2 - 3*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3092(3,2) 

Field minimum poly (root): x^7 - 2*x^5 - x^4 + x^3 + 2*x^2 - x - 1 (5)
Real ramification: [2]
Finite ramification: [[127, [63, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 6, 8, 14, 30, -63, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m351(3,1)* 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^4 - 3*x^3 + 2*x^2 + 1 (5)
Real ramification: [2, 3]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, -2, -1, -2, 2, 1]~], [43, [13, 1, 0, 0, 0, 0, 0]~, 1, 1, [10, -14, -12, 4, -20, -15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m289(-5,1) 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 + 2*x^4 - 4*x^3 + 4*x^2 - 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 1, 1]~], [2, [3, 0, 1, 1, 0, 0, 0]~, 1, 3, [1, 0, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m222(5,1)* 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 + x^3 - 3*x^2 + 3*x - 1 (2)
Real ramification: [1]
Finite ramification: [[31, [6, 1, 0, 0, 0, 0, 0]~, 1, 1, [5, 10, 3, 10, -12, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2604(-1,2) 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 + x^3 - 3*x^2 + 3*x - 1 (2)
Real ramification: [1]
Finite ramification: [[443, [21, 1, 0, 0, 0, 0, 0]~, 1, 1, [-211, -32, -83, 4, 42, -23, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s944(1,2)* 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 + x^4 - 4*x^3 + x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s952(-2,3)* s956(-3,2)* s961(3,2) 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 - 2*x^4 - 2*x^3 + 3*x^2 - 3*x + 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s690(3,1) 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 - 2*x^4 - x^3 + 3*x^2 + 2*x - 4 (4)
Real ramification: []
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 2, 2, 2, 1, 0]~], [5, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 0, 1, -2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s942(4,1)* 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 - 3*x^3 + 3*x^2 + x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[11, [5, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, -2, 2, 4, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m286(1,2)* 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 - 4*x^4 + 2*x^3 - 4*x^2 - 4 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 1, 0, 0]~, 3, 1, [2, 2, 1, 1, 2, 2, 1]~], [2, [1, 0, 0, 0, 1, 0, 0]~, 4, 1, [2, 2, 2, 1, 0, 0, 0]~], [3, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, -1, 0, -1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3293(5,1) 

Field minimum poly (root): x^7 - 2*x^6 + 2*x^5 - 5*x^3 + 6*x^2 - 5*x + 2 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, -2, -1, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s690(1,3)* 

Field minimum poly (root): x^7 - 2*x^6 + 3*x^5 - 3*x^4 - 3*x^3 + 2*x^2 - x - 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s755(3,2)* 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^4 - 4*x^3 + x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 1, 0, -2, -2, 1, 1]~], [7, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 2, 1, 3, -3, 1]~], [31, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-15, -8, -11, -12, 8, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s313(1,3) 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^4 - 4*x^3 + x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 1, 0, -2, -2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m369(-2,3) m371(2,3)* 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^4 - 5*x^3 - 2*x^2 + 4*x + 1 (6)
Real ramification: [3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2221(-1,3) 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^4 - x^3 + x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[19, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [8, -3, 4, 3, -1, -2, 7]~], [229, [-79, 1, 0, 0, 0, 0, 0]~, 1, 1, [27, -45, 8, -111, -101, 75, 7]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m300(1,4)* 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^4 - x^3 + x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, -1, 1, 1]~], [41, [-8, 1, 0, 0, 0, 0, 0]~, 1, 1, [-7, -20, -16, 18, 6, 4, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s254(5,2) 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^5 - 3*x^4 + 3*x^3 + x^2 - 2*x + 4 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 1, 0]~], [2, [0, 1, 0, 1, 1, 0, 0]~, 1, 2, [1, 1, 1, 2, 2, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0]~, 1, 3, [0, 0, 1, 0, 1, 0, 0]~], [3, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 0, 1, 1, 0, -1]~], [131, [11, 1, 0, 0, 0, 0, 0]~, 1, 1, [48, 54, 6, -49, 16, -13, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2898(1,3)* 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^5 - 3*x^4 - 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 1, 0, 1, 1]~, 2, 1, [1, 1, 1, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s927(-2,3)* s956(-3,1)* s961(3,1) 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^5 - 4*x^4 + 2*x^3 - x^2 - x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s442(1,3) 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^5 - 4*x^4 + 2*x^3 - x^2 - x - 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s704(-3,1) 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^5 - 4*x^4 + 4*x^3 - 4*x^2 + 2*x - 2 (4)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0]~, 2, 2, [-1, 0, 0, -1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3505(-7,1) 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^5 - x^3 + 5*x^2 + x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[107, [-26, 1, 0, 0, 0, 0, 0]~, 1, 1, [-37, 15, -49, -43, -14, 24, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s921(-3,2) 

Field minimum poly (root): x^7 - 2*x^6 + 4*x^5 - x^4 + x^3 + x^2 - 7*x + 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 0, 0, 1, 1]~], [7, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -3, 3, 1, -3, 2]~], [29, [-12, 1, 0, 0, 0, 0, 0]~, 1, 1, [-12, -12, -9, -4, -3, 7, 8]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3480(-4,1)* 

Field minimum poly (root): x^7 - 2*x^6 + 5*x^4 - 6*x^3 + x^2 + 3*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3100(3,1) 

Field minimum poly (root): x^7 - 2*x^6 + 5*x^5 - 2*x^4 - 4*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1315(-5,1)* 

Field minimum poly (root): x^7 - 2*x^6 + 5*x^5 - 3*x^4 + x^3 + 7*x^2 - 6*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 1, 1, 1, 1]~, 2, 2, [1, 2, 2, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2099(3,1)* 

Field minimum poly (root): x^7 - 2*x^6 + 6*x^5 - 14*x^4 + 11*x^3 - 23*x^2 + 26*x + 4 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 2, 2, 2, 1, 0]~], [3, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [2, 2, 1, 1, 3, 2, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2901(-1,3)* 

Field minimum poly (root): x^7 - 2*x^6 + x^3 + 2*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [4, -5, 6, -6, 2, -5, 1]~], [41, [19, 1, 0, 0, 0, 0, 0]~, 1, 1, [-13, -10, 7, 4, -11, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m178(-4,1)* 

Field minimum poly (root): x^7 - 2*x^6 + x^5 + x^4 - 3*x^3 + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[53, [22, 1, 0, 0, 0, 0, 0]~, 1, 1, [-14, 14, 23, 25, -2, -24, 5]~], [89, [44, 1, 0, 0, 0, 0, 0]~, 1, 1, [-4, -5, -6, -8, -23, 43, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s884(4,3) 

Field minimum poly (root): x^7 - 2*x^6 + x^5 + x^4 - 3*x^3 + 2*x^2 - 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3522(-1,2)* 

Field minimum poly (root): x^7 - 2*x^6 + x^5 - 2*x^4 + 2*x^3 + 2*x^2 - 6*x - 1 (4)
Real ramification: [1]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 2, -2, 1, 2, -1, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2210(-3,4) 

Field minimum poly (root): x^7 - 2*x^6 + x^5 - 2*x^4 + x^3 + x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, -3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2018(3,2) v2462(-4,1) 

Field minimum poly (root): x^7 - 2*x^6 + x^5 - 2*x^4 + x^3 + x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-3, 2, -1, 1, 2, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s874(-3,2)* 

Field minimum poly (root): x^7 - 2*x^6 + x^5 - 3*x^4 + 4*x^3 - x^2 + 1 (5)
Real ramification: [3]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-3, -2, -3, 0, 2, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2866(3,2)* 

Field minimum poly (root): x^7 - 2*x^6 + x^5 - x^4 + x^3 - 3*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2824(-2,3)* 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^4 + 3*x^3 + 2*x^2 - 3*x + 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[241, [58, 1, 0, 0, 0, 0, 0]~, 1, 1, [-108, 7, -24, -66, -29, -120, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2099(3,2)* 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 4*x^4 + 5*x^3 - 5*x^2 - 4*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 0, 1]~], [2, [1, 0, 1, 1, 0, 0, 0]~, 1, 3, [0, 0, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s915(3,2) 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 4*x^4 + 5*x^3 - 5*x^2 - 4*x + 2 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 0, 1]~], [2, [1, 0, 1, 1, 0, 0, 0]~, 1, 3, [0, 0, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2158(-2,3) 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 4*x^4 + 5*x^3 - 5*x^2 - 4*x + 2 (5)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 0, 1]~], [2, [3, 1, 1, 0, 0, 0, 0]~, 1, 2, [0, 0, 1, 0, 1, 1, 0]~], [3527, [-537, 1, 0, 0, 0, 0, 0]~, 1, 1, [-821, 1450, -549, -1689, 1606, 535, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1676(1,3)* 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 4*x^4 + 5*x^3 - 5*x^2 - 4*x + 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s915(-3,2)* 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 4*x^4 + 6*x^3 - 3*x - 2 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, -1, 2, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3219(3,2) 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 4*x^4 - x^3 + 4*x^2 - 4*x + 1 (4)
Real ramification: [3]
Finite ramification: [[367, [157, 1, 0, 0, 0, 0, 0]~, 1, 1, [180, -90, 38, -47, 5, -159, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0785(-5,2)* 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 4*x^4 - x^3 + 4*x^2 - 4*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s581(-3,2)* 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 5*x^4 + 2*x^3 - 6*x^2 - x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s530(4,1)* s719(-5,1) 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 8*x^4 - 2*x^3 - 10*x^2 + x + 3 (6)
Real ramification: [4]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, -1, 0, -1, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2825(-4,1) 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 8*x^4 - 2*x^3 - 10*x^2 + x + 3 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2517(3,2) 

Field minimum poly (root): x^7 - 2*x^6 - 2*x^5 + 8*x^4 - 2*x^3 - 9*x^2 + 6*x + 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 1, 0]~], [5, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 2, 1, 2, 1]~], [101, [-17, 1, 0, 0, 0, 0, 0]~, 1, 1, [-6, 29, 26, -34, -50, 15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2910(-4,1) 

Field minimum poly (root): x^7 - 2*x^6 - 3*x^5 + 3*x^4 + 5*x^3 - x^2 - 3*x + 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m004(1,2) 

Field minimum poly (root): x^7 - 2*x^6 - 3*x^5 + 4*x^4 + 7*x^3 - 3*x^2 - 3*x - 5 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 0, 1, 1]~, 2, 1, [1, 1, 1, 2, 2, 2, 1]~], [23, [5, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, -5, 4, 5, 9, -8, 2]~], [863, [-85, 1, 0, 0, 0, 0, 0]~, 1, 1, [-204, 353, 389, -361, 148, 82, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3213(4,1)* 

Field minimum poly (root): x^7 - 2*x^6 - 3*x^5 + 4*x^4 + 7*x^3 - 3*x^2 - 3*x - 5 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 0, 1, 1]~, 2, 1, [1, 1, 1, 2, 2, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3217(4,1)* 

Field minimum poly (root): x^7 - 2*x^6 - 3*x^5 + 4*x^4 + 7*x^3 - 3*x^2 - 3*x - 5 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3207(-4,1) v3210(-4,1) 

Field minimum poly (root): x^7 - 2*x^6 - 3*x^5 + x^4 + 8*x^3 + 5*x^2 - 6*x - 3 (6)
Real ramification: [1, 2, 5]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, -1, 1, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s523(-6,1)* 

Field minimum poly (root): x^7 - 2*x^6 - 4*x^5 + 6*x^4 + 6*x^3 - 4*x^2 - 3*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s838(-2,3)* 

Field minimum poly (root): x^7 - 2*x^6 - 4*x^5 + 8*x^4 + 2*x^3 - 7*x^2 + 5*x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 0, 1]~, 3, 1, [1, 1, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3305(-1,2)* 

Field minimum poly (root): x^7 - 2*x^6 - 4*x^5 - x^4 + 5*x^3 + 5*x^2 + 8*x + 4 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 0, 0, 1, 0, 0]~, 1, 2, [1, 2, 1, 1, 1, 0, 0]~], [11, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -4, -2, -4, 4, -5, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1809(1,3) 

Field minimum poly (root): x^7 - 2*x^6 - 6*x^5 + 4*x^4 + 10*x^3 - x^2 - 4*x + 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 1, 0, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m220(6,1) m221(-2,3) 

Field minimum poly (root): x^7 - 2*x^6 - 6*x^5 + 4*x^4 + 10*x^3 - x^2 - 4*x + 1 (6)
Real ramification: [3, 4, 5]
Finite ramification: [[5, [7, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, 0, 0, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m213(-5,2) m221(-6,1)* 

Field minimum poly (root): x^7 - 2*x^6 - x^4 - 6*x^3 + 7*x^2 + 7*x - 4 (4)
Real ramification: [2]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 0, 0, 1]~], [19, [8, 1, 0, 0, 0, 0, 0]~, 1, 1, [8, 0, -2, 5, -4, 7, -7]~], [19, [-7, 1, 0, 0, 0, 0, 0]~, 1, 1, [5, -6, -2, -3, 8, 3, -7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1858(-6,1) v1858(2,3) 

Field minimum poly (root): x^7 - 2*x^6 - x^5 + 2*x^3 + 2*x^2 + 3*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2210(-1,4)* 

Field minimum poly (root): x^7 - 2*x^6 - x^5 + 2*x^3 + 2*x^2 + 3*x + 1 (4)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2530(-5,1) 

Field minimum poly (root): x^7 - 2*x^6 - x^5 + 3*x^4 - x^2 - 5*x - 3 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, -1, -1, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m235(-3,2) 

Field minimum poly (root): x^7 - 2*x^6 - x^5 + 5*x^4 - x^3 - 5*x^2 + 4*x + 4 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3458(-4,1)* 

Field minimum poly (root): x^7 - 2*x^6 - x^5 + 7*x^4 - 5*x^3 - 5*x^2 + 5*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[13, [4, 1, 0, 0, 0, 0, 0]~, 1, 1, [3, -6, -3, 6, -3, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s900(3,2) 

Field minimum poly (root): x^7 - 2*x^6 - x^5 + 7*x^4 - 5*x^3 - 5*x^2 + 5*x - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s897(3,2) 

Field minimum poly (root): x^7 - 2*x^6 - x^5 + 7*x^4 - 5*x^3 - 5*x^2 + 5*x - 1 (6)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2202(-3,2)* v2203(3,2) 

Field minimum poly (root): x^7 - 2*x^6 - x^5 - 2*x^4 + 2*x^3 + 11*x^2 + 2*x - 2 (6)
Real ramification: [3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 1, 0, 1]~], [13, [-3, 1, 0, 0, 0, 0, 0]~, 1, 1, [-4, -2, 3, 5, 4, -1, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3377(1,3)* v3378(1,3)* 

Field minimum poly (root): x^7 - 2*x^6 - x^5 - 2*x^4 + 2*x^3 + 11*x^2 + 2*x - 2 (6)
Real ramification: [3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3214(2,3)* 

Field minimum poly (root): x^7 - 3*x^4 - x^3 - x^2 + x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 0, 1, 1, 1]~, 1, 6, [1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s912(2,1) 

Field minimum poly (root): x^7 - 3*x^5 - 2*x^3 - 2*x^2 + 4*x - 2 (3)
Real ramification: []
Finite ramification: [[13, [-6, 1, 0, 0, 0, 0, 0]~, 1, 1, [-4, 3, 3, 3, -6, 5, 2]~], [167, [28, 1, 0, 0, 0, 0, 0]~, 1, 1, [-12, -71, 80, 9, -54, -29, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3212(5,1)* 

Field minimum poly (root): x^7 - 3*x^5 - 2*x^3 - 2*x^2 + 4*x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 0, 1, 1, 0, 1, 0]~, 1, 2, [2, 2, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3208(5,1)* v3209(5,1)* 

Field minimum poly (root): x^7 - 3*x^5 - 2*x^4 + 3*x^3 + 3*x^2 - 2*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[3, [1, 0, 1, 0, 0, 0, 0]~, 1, 2, [-1, 1, 1, -1, 0, 1, 0]~], [23, [4, 1, 0, 0, 0, 0, 0]~, 1, 1, [-6, 1, -11, -8, -10, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2966(-3,1) v3244(3,1) 

Field minimum poly (root): x^7 - 3*x^5 - 3*x^4 + 2*x^3 + 4*x^2 + x - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m223(2,3) 

Field minimum poly (root): x^7 - 3*x^5 - 3*x^4 + 4*x^3 + 5*x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m221(-1,2)* 

Field minimum poly (root): x^7 - 3*x^5 - 3*x^4 + 4*x^3 + 5*x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s566(4,3)* 

Field minimum poly (root): x^7 - 3*x^5 - 3*x^4 + 4*x^3 + 5*x^2 - 2*x - 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s730(-1,2)* 

Field minimum poly (root): x^7 - 3*x^5 - x^3 - 6*x^2 + 4*x + 8 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 1, 0]~, 3, 1, [1, 1, 1, 2, 2, 1, 1]~], [3, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s783(-1,2)* 

Field minimum poly (root): x^7 - 3*x^6 + 2*x^5 + 2*x - 1 (5)
Real ramification: [2]
Finite ramification: [[271, [-135, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 8, -16, 32, -64, 132, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2018(1,4) 

Field minimum poly (root): x^7 - 3*x^6 + 2*x^5 + 2*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 0, 0, 0, -1, 1]~], [13, [5, 1, 0, 0, 0, 0, 0]~, 1, 1, [5, 2, -3, -2, 3, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s874(-1,4)* 

Field minimum poly (root): x^7 - 3*x^6 + 2*x^5 + 2*x^4 - 5*x^3 + 4*x^2 - x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [3, 2, -1, 2, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m022(-5,1)* v2438(-2,3)* 

Field minimum poly (root): x^7 - 3*x^6 + 2*x^5 + 2*x^4 - 7*x^3 + 2*x^2 + 4*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 1, 0, 0, 1]~], [7, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 1, 1, -2, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s949(1,4) 

Field minimum poly (root): x^7 - 3*x^6 + 2*x^5 + 3*x^4 - 5*x^3 + 2*x^2 + 2*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: [[11, [5, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -4, 2, -2, 3, 1]~], [373, [185, 1, 0, 0, 0, 0, 0]~, 1, 1, [125, 82, -71, -44, 93, 185, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m238(-2,3)* m288(-4,1) 

Field minimum poly (root): x^7 - 3*x^6 + 2*x^5 - x^4 + x^3 + 4*x^2 - 4*x + 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0]~, 1, 3, [1, 1, 1, 1, 1, 0, 0]~], [19, [5, 1, 0, 0, 0, 0, 0]~, 2, 1, [4, 6, -8, -2, 4, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s764(2,3)* 

Field minimum poly (root): x^7 - 3*x^6 + 3*x^5 + 2*x^4 - 3*x^3 + 4*x^2 + 5*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3512(-1,3)* 

Field minimum poly (root): x^7 - 3*x^6 + 3*x^5 - 3*x^4 + 2*x^3 - x^2 + 2*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[29, [-8, 1, 0, 0, 0, 0, 0]~, 1, 1, [-11, 2, 4, -7, 14, 5, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3533(-2,3) 

Field minimum poly (root): x^7 - 3*x^6 + 3*x^5 - 4*x^3 + 3*x^2 - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[11, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-5, 3, 0, 2, 1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s238(-1,4) 

Field minimum poly (root): x^7 - 3*x^6 + 3*x^5 - 4*x^3 + 3*x^2 - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [-6, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 4, -2, -4, -5, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m364(-3,1) 

Field minimum poly (root): x^7 - 3*x^6 + 3*x^5 - 5*x^4 + 7*x^3 - 3*x^2 + 3*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s773(-1,4)* s781(-3,4) s786(-1,4)* 

Field minimum poly (root): x^7 - 3*x^6 + 3*x^5 - 7*x^4 + 12*x^3 - 3*x^2 - 2*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 1, 0, 1]~], [2, [1, 1, 0, 1, 0, 0, 0]~, 1, 3, [1, 1, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(-3,2)* 

Field minimum poly (root): x^7 - 3*x^6 + 3*x^5 - x^4 - 5*x^3 + 5*x^2 + 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[41, [-4, 1, 0, 0, 0, 0, 0]~, 1, 1, [-10, 7, -20, -14, 7, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m290(3,2) 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^4 + 3*x^3 - 3*x^2 - 6*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 1, 1]~], [109, [11, 1, 0, 0, 0, 0, 0]~, 1, 1, [20, -42, -46, 54, 45, -14, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m234(5,1) m235(4,3) 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^4 + 3*x^3 - 3*x^2 - 6*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 1, 1]~], [2, [1, 1, 0, 0, 0, 0, 0]~, 5, 1, [0, 0, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(4,1)* 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 + x^4 - 6*x^3 + 6*x^2 + x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3361(3,1)* 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - 3*x^4 + 2*x^2 - 3*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 0, 0, 6, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s763(-2,3)* 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - 3*x^4 + x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [9, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, -2, -4, -2, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m081(4,3) 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - 4*x^4 + 3*x^2 - 3*x + 3 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(4,1)* 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - 5*x^4 + x^3 - 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s580(5,1)* 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - 6*x^3 + 4*x^2 + 5*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 0, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0]~, 2, 2, [1, 0, 1, 1, 0, 1, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, -1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(-2,3) 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - 6*x^4 + 10*x^3 - 13*x^2 + 12*x - 4 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s943(-4,1) 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - 7*x^4 + 8*x^3 - 6*x^2 + 8*x - 4 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3526(-4,1) 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - x^4 - 2*x^3 + 2*x^2 - x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[17, [4, 1, 0, 0, 0, 0, 0]~, 1, 1, [4, 3, 4, 7, -2, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3080(5,1)* 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - x^4 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 0, 0, 1]~], [3, [-1, -1, 1, 0, 0, 0, 0]~, 1, 2, [-1, 0, 0, 0, 1, 1, 0]~], [5, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, -1, 1, -2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s155(5,1) 

Field minimum poly (root): x^7 - 3*x^6 + 4*x^5 - x^4 - x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(4,1)* 

Field minimum poly (root): x^7 - 3*x^6 + 5*x^4 - 4*x^3 + 3*x^2 - 3*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 0, 0]~], [2, [0, 0, 0, 1, 1, 1, 1]~, 2, 2, [2, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m235(-1,2) 

Field minimum poly (root): x^7 - 3*x^6 + 5*x^5 - 7*x^4 + 7*x^3 - 7*x^2 + 5*x - 2 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3252(-3,1)* 

Field minimum poly (root): x^7 - 3*x^6 + 6*x^5 - 4*x^4 - x^3 + 5*x^2 - 3*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 1]~], [2, [1, 1, 0, 1, 0, 0, 0]~, 2, 3, [1, 0, 1, 1, 1, 0, 0]~], [19, [12, 1, 0, 0, 0, 0, 0]~, 1, 1, [8, 7, 3, 6, -4, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s919(-3,1) 

Field minimum poly (root): x^7 - 3*x^6 + 6*x^5 - 8*x^4 + 6*x^3 - 2*x^2 - x + 3 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3102(-2,3)* 

Field minimum poly (root): x^7 - 3*x^6 + 7*x^5 - 11*x^4 + 14*x^3 - 3*x^2 - 8*x + 4 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 0, 1, 0, 1, 0, 1]~, 2, 1, [2, 1, 2, 2, 1, 2, 1]~], [7, [-3, 1, 0, 0, 0, 0, 0]~, 1, 1, [3, 0, 2, -3, 1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3435(4,1)* 

Field minimum poly (root): x^7 - 3*x^6 + x^5 + 3*x^4 - 2*x^3 - x^2 + 3*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3489(-1,2)* 

Field minimum poly (root): x^7 - 3*x^6 + x^5 + 3*x^4 - 2*x^3 - x^2 + 3*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2873(-2,3)* v2874(-2,3)* 

Field minimum poly (root): x^7 - 3*x^6 + x^5 + 6*x^4 - 2*x^3 - 7*x^2 + 10*x - 4 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3444(-4,1)* 

Field minimum poly (root): x^7 - 3*x^6 + x^5 - x^4 + 2*x^3 + 3*x^2 + 4*x + 1 (5)
Real ramification: [2]
Finite ramification: [[2, [2, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 2, 1, 1, 1, 1]~], [2, [3, 0, 0, 0, 1, 1, 1]~, 1, 1, [2, 1, 2, 1, 2, 2, 1]~], [2, [3, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s350(-6,1)* 

Field minimum poly (root): x^7 - 3*x^6 - 2*x^5 + 11*x^4 - 4*x^3 - 6*x^2 + 4*x - 2 (6)
Real ramification: [1, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 4, 1, [0, 0, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1788(3,2)* 

Field minimum poly (root): x^7 - 3*x^6 - 4*x^5 + 15*x^4 - 11*x^2 + x + 2 (6)
Real ramification: [3, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 0, 1, 1]~], [5, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2640(-2,3)* v2641(-7,1) 

Field minimum poly (root): x^7 - 3*x^6 - 4*x^5 + 15*x^4 - 11*x^2 + x + 2 (6)
Real ramification: [1, 3, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2642(-7,1) v2643(2,3) v3047(3,2)* v3462(-1,2) 

Field minimum poly (root): x^7 - 3*x^6 - 4*x^5 + 15*x^4 - 11*x^2 + x + 2 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m034(5,2)* v3184(5,1)* v3200(-4,1)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 12*x^4 - 9*x^3 - 10*x^2 + 8*x + 1 (6)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0]~, 1, 2, [2, 2, 1, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1398(4,1)* v2200(-3,2)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 12*x^4 - 9*x^3 - 10*x^2 + 8*x + 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [2, 0, 0, 0, 1, 0, 1]~, 1, 2, [1, 2, 2, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2643(1,2) 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 13*x^4 - 17*x^3 + 3*x^2 + 12*x - 10 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 0, 0]~], [2, [0, 0, 0, 0, 1, 1, 1]~, 1, 2, [1, 1, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3199(-5,1)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 13*x^4 - 17*x^3 + 3*x^2 + 12*x - 10 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 0, 0]~], [2, [3, 0, 0, 1, 1, 0, 1]~, 1, 2, [1, 1, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s943(-2,3)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 7*x^4 + 2*x^3 - 5*x^2 - 8*x + 5 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 1, 0, 1]~], [2, [1, 1, 0, 1, 0, 0, 0]~, 1, 3, [1, 1, 0, 1, 1, 0, 0]~], [131, [-56, 1, 0, 0, 0, 0, 0]~, 1, 1, [35, -39, -24, 51, -46, 53, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m260(6,1) 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 7*x^4 + 2*x^3 - 5*x^2 - 8*x + 5 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 1, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0]~, 1, 3, [1, 1, 0, 1, 1, 0, 0]~], [5, [1, 1, 0, 0, 0, 0, 0]~, 3, 1, [0, 2, -2, -1, -2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m235(2,3) 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 7*x^4 + 2*x^3 - 5*x^2 - 8*x + 5 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m304(-4,1) 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 7*x^4 + x^3 - 2*x^2 - 7*x - 1 (5)
Real ramification: [2]
Finite ramification: [[10601, [801, 1, 0, 0, 0, 0, 0]~, 1, 1, [1297, -4872, 1806, -1736, -2658, -804, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3213(2,3)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 7*x^4 + x^3 - 2*x^2 - 7*x - 1 (5)
Real ramification: [2]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1, 0]~, 1, 5, [1, 1, 1, 0, 0, 0, 0]~], [7, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -3, -3, 3, 3, 1]~], [71, [-31, 1, 0, 0, 0, 0, 0]~, 1, 1, [-16, 2, 7, -25, 15, 28, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3217(2,3)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 7*x^4 + x^3 - 2*x^2 - 7*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 1, 0]~], [7, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -3, -3, 3, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3207(-2,3) v3210(-2,3) 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 7*x^4 - x^3 - 6*x^2 + x + 1 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 1, 0]~], [2, [1, 0, 1, 0, 0, 1, 0]~, 1, 5, [1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m148(1,2) 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 8*x^4 - 2*x^3 - 7*x^2 + 4*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 1, 1]~], [13, [5, 1, 0, 0, 0, 0, 0]~, 1, 1, [3, -5, -3, -5, 0, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m307(-4,3) s298(4,3)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 8*x^4 - 2*x^3 - 7*x^2 + 4*x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 1, 1]~], [2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(-4,3) 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 8*x^4 - 4*x^3 - 3*x^2 + 5*x - 2 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1]~, 1, 6, [0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m148(-1,2)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 8*x^4 - 4*x^3 - 3*x^2 + 5*x - 2 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1]~, 1, 6, [0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3444(-3,2)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 8*x^4 - 4*x^3 - 3*x^2 + 5*x - 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m070(-3,2)* v3520(4,1) 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 8*x^4 - 4*x^3 - 3*x^2 + 5*x - 2 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m069(-3,2)* v3505(-4,1) v3519(-4,1)* 

Field minimum poly (root): x^7 - 3*x^6 - x^5 + 9*x^4 - 7*x^3 + x^2 + 2*x + 2 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 1, 1, 0, 0]~], [2, [0, 1, 1, 0, 0, 1, 0]~, 2, 2, [1, 2, 2, 2, 2, 1, 0]~], [389, [54, 1, 0, 0, 0, 0, 0]~, 1, 1, [-72, 59, -189, -47, -35, -114, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3216(-5,2) 

Field minimum poly (root): x^7 - 4*x^5 - 3*x^4 + 4*x^3 + 4*x^2 - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s442(3,2)* 

Field minimum poly (root): x^7 - 4*x^5 - 6*x^4 - x^3 + 3*x^2 + 2*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s954(-2,3)* s956(-1,3)* s961(1,3) 

Field minimum poly (root): x^7 - x^4 + x^2 - x - 1 (4)
Real ramification: [1]
Finite ramification: [[109, [23, 1, 0, 0, 0, 0, 0]~, 1, 1, [-19, 15, -48, 40, -16, -23, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2101(-2,3)* 

Field minimum poly (root): x^7 - x^4 + x^2 - x - 1 (4)
Real ramification: [1]
Finite ramification: [[23, [-9, 1, 0, 0, 0, 0, 0]~, 1, 1, [-5, -3, -3, -8, -11, 9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s832(4,1)* 

Field minimum poly (root): x^7 - x^4 + x^3 - 3*x^2 + 3*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 1, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, -1, -2, 0, -1, -2]~], [19, [5, 1, 0, 0, 0, 0, 0]~, 1, 1, [-9, -2, -2, 3, 2, -3, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s758(4,1)* 

Field minimum poly (root): x^7 - x^4 - x^3 + x^2 + 1 (2)
Real ramification: []
Finite ramification: [[109, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [54, 27, 13, 7, 4, 2, 1]~], [131, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-65, -33, 17, -9, 4, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2641(3,2)* 

Field minimum poly (root): x^7 - x^4 - x^3 + x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[3853, [1308, 1, 0, 0, 0, 0, 0]~, 1, 1, [1411, 1080, -534, 728, 132, -1308, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2642(3,2)* 

Field minimum poly (root): x^7 - x^5 - 2*x^4 + 2*x^3 + 3*x^2 - x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[13, [-6, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 2, 0, -4, 6, 1]~], [83, [41, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 6, 6, 8, 20, -41, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s437(2,3) 

Field minimum poly (root): x^7 - x^5 - 2*x^4 + 2*x^3 + 3*x^2 - x - 1 (5)
Real ramification: [2]
Finite ramification: [[16111, [-7831, 1, 0, 0, 0, 0, 0]~, 1, 1, [-5777, 2071, 7526, 1330, 6094, 7831, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s472(4,1) s480(3,2)* 

Field minimum poly (root): x^7 - x^5 - 2*x^4 + 2*x^3 + 3*x^2 - x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[619, [-171, 1, 0, 0, 0, 0, 0]~, 1, 1, [181, 135, -249, -244, 147, 171, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m390(3,2)* 

Field minimum poly (root): x^7 - x^5 - 2*x^4 - 3*x^3 + 4*x^2 - 4*x - 8 (4)
Real ramification: [1, 3]
Finite ramification: [[11, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 5, -2, 2, 1, -3, 0]~], [1481, [-228, 1, 0, 0, 0, 0, 0]~, 1, 1, [68, 128, -615, -563, 157, 468, 44]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3156(4,1) v3207(2,3)* 

Field minimum poly (root): x^7 - x^5 - 2*x^4 - 3*x^3 + 4*x^2 - 4*x - 8 (4)
Real ramification: [3]
Finite ramification: [[11, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 5, -2, 2, 1, -3, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3213(-2,3) 

Field minimum poly (root): x^7 - x^5 - 2*x^4 - 3*x^3 + 4*x^2 - 4*x - 8 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0]~, 2, 2, [0, 1, 0, 0, 1, 0, 0]~], [11, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 5, -2, 2, 1, -3, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3217(-2,3) 

Field minimum poly (root): x^7 - x^5 - 2*x^4 - x^3 + 2*x^2 + x + 1 (2)
Real ramification: [1]
Finite ramification: [[919, [-194, 1, 0, 0, 0, 0, 0]~, 1, 1, [90, 261, -335, -267, -44, 194, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s885(3,1)* 

Field minimum poly (root): x^7 - x^5 - x^4 - 8*x^3 + 8*x^2 - 24*x + 32 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3470(-5,1) 

Field minimum poly (root): x^7 - x^5 - x^4 - 8*x^3 + 8*x^2 - 24*x + 32 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3469(-5,1) 

Field minimum poly (root): x^7 - x^5 - x^4 - x^3 + x^2 + x + 1 (4)
Real ramification: []
Finite ramification: [[11, [3, 1, 0, 0, 0, 0, 0]~, 2, 1, [4, -1, -3, -3, -3, -3, 1]~], [17, [-7, 1, 0, 0, 0, 0, 0]~, 1, 1, [-5, 4, -2, -5, -3, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3427(-3,1) 

Field minimum poly (root): x^7 - x^6 + 2*x^3 + x^2 - 3*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0]~, 1, 3, [1, 1, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3143(-3,2) 

Field minimum poly (root): x^7 - x^6 + 2*x^3 - 7*x + 1 (5)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0]~, 2, 2, [1, 0, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3077(7,1)* 

Field minimum poly (root): x^7 - x^6 + 2*x^4 - 4*x^3 - 7*x^2 - 8*x - 4 (4)
Real ramification: [3]
Finite ramification: [[67, [-20, 1, 0, 0, 0, 0, 0]~, 1, 1, [21, -8, 13, 25, -28, 10, 28]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3377(4,1) v3378(4,1) 

Field minimum poly (root): x^7 - x^6 + 2*x^4 - x^3 + 2*x^2 - 3*x + 2 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 1, 1]~], [2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 0, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 0, 1, 0]~], [2, [1, 0, 1, 1, 0, 0, 0]~, 1, 3, [0, 1, 0, 0, 1, 0, 0]~], [3, [1, 0, 1, 0, 0, 0, 0]~, 1, 2, [-1, 0, 0, -1, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2099(-2,3)* 

Field minimum poly (root): x^7 - x^6 + 2*x^5 - 2*x^4 - x^3 - 3*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0]~, 2, 1, [-1, -1, -1, 0, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2944(3,1) v3215(-1,2) 

Field minimum poly (root): x^7 - x^6 + 2*x^5 - 3*x^4 - x^3 - 3*x^2 - 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[3, [2, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, -1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3428(6,1)* 

Field minimum poly (root): x^7 - x^6 + 2*x^5 - 3*x^4 - x^3 - 6*x^2 - 5*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 1]~], [7, [-1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, -1, -2, -1, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2677(1,3) v3490(3,1) v3492(3,1) 

Field minimum poly (root): x^7 - x^6 + 2*x^5 - 3*x^4 - x^3 - 6*x^2 - 5*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [-1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, -1, -2, -1, 2, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2678(-5,1)* 

Field minimum poly (root): x^7 - x^6 + 2*x^5 - 4*x^4 - x^3 + 4*x^2 - 2*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v1980(3,1)* 

Field minimum poly (root): x^7 - x^6 + 2*x^5 - 5*x^4 + 4*x^3 - x^2 + 6*x + 2 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 0, 1, 0, 1]~], [2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, 1, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 2, -2, -2, -2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3221(3,2) v3228(-3,2)* 

Field minimum poly (root): x^7 - x^6 + 2*x^5 - x^4 + 3*x^3 - 3*x^2 + 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, -1, 0, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s777(-3,2) 

Field minimum poly (root): x^7 - x^6 + 3*x^4 - 4*x^3 + 2*x^2 + x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[43, [-21, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 6, -8, 8, -10, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m378(4,1) 

Field minimum poly (root): x^7 - x^6 + 3*x^5 + x^3 + 3*x^2 - x - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3536(1,2)* 

Field minimum poly (root): x^7 - x^6 + 3*x^5 - 2*x^4 + 2*x^2 - 3*x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 1, 1, 0, 0]~, 1, 4, [1, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m117(-2,3) 

Field minimum poly (root): x^7 - x^6 + 4*x^4 - 4*x^3 - x^2 + 3*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [-3, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 3, -1, 1, -1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m030(1,3) 

Field minimum poly (root): x^7 - x^6 + 4*x^4 - 4*x^3 - x^2 + 3*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2919(1,2)* v2920(1,2)* 

Field minimum poly (root): x^7 - x^6 + 4*x^5 - 3*x^4 + 6*x^3 - 2*x^2 + 4*x + 1 (2)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 0, 1]~], [5, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, 0, 1, 1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3243(4,3)* v3244(-4,1) v3246(-4,1) v3247(-4,3) 

Field minimum poly (root): x^7 - x^6 + 4*x^5 - 5*x^4 + 7*x^3 + 3*x^2 + 2*x + 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3293(-5,1) 

Field minimum poly (root): x^7 - x^6 + 5*x^4 - 9*x^3 + 10*x^2 - 6*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2051(4,1)* 

Field minimum poly (root): x^7 - x^6 + x^3 + x^2 - 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[17, [21, 1, 0, 0, 0, 0, 0]~, 1, 1, [-4, -8, -2, 5, 3, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s862(7,1)* v2190(4,1) 

Field minimum poly (root): x^7 - x^6 + x^4 + 3*x^3 - x^2 + 1 (4)
Real ramification: []
Finite ramification: [[13, [-3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -4, -5, 3, 4, 4, 2]~], [109, [-49, 1, 0, 0, 0, 0, 0]~, 1, 1, [-29, 35, 23, -13, 15, -13, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m307(-6,1)* s298(6,1) 

Field minimum poly (root): x^7 - x^6 + x^4 + 3*x^3 - x^2 + 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 1, 1, 1, 0]~, 4, 1, [2, 2, 1, 2, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(-6,1)* 

Field minimum poly (root): x^7 - x^6 + x^4 - 3*x^2 - x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 1, 1, 1, 1, 1]~, 3, 2, [2, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2101(-1,4)* 

Field minimum poly (root): x^7 - x^6 + x^4 - 3*x^2 - x + 2 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 0, 0]~], [17, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, -8, 4, 1, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2100(1,4) 

Field minimum poly (root): x^7 - x^6 + x^4 - 3*x^3 + x^2 - 1 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s235(-4,1) 

Field minimum poly (root): x^7 - x^6 + x^4 - 6*x^3 + 6*x^2 + 2*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3499(3,1) 

Field minimum poly (root): x^7 - x^6 + x^4 - x^2 - 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2428(-3,2)* 

Field minimum poly (root): x^7 - x^6 + x^5 + 2*x^4 - 2*x^3 + 3*x^2 + x - 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 0, 1, 0]~], [11, [-5, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, -5, 5, -3, -1, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3126(-3,2)* 

Field minimum poly (root): x^7 - x^6 + x^5 + 2*x^4 - 2*x^3 + 3*x^2 + x - 1 (4)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3528(-3,1) 

Field minimum poly (root): x^7 - x^6 + x^5 + x^3 + x + 1 (3)
Real ramification: [1]
Finite ramification: [[257, [-18, 1, 0, 0, 0, 0, 0]~, 1, 1, [-101, -77, 10, 128, 49, 17, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m223(3,2) 

Field minimum poly (root): x^7 - x^6 + x^5 + x^3 - 2*x^2 - 3*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 1, 0, 1, 0, 1]~], [7, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [3, -3, 0, -1, 2, 3, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m184(-4,1)* 

Field minimum poly (root): x^7 - x^6 + x^5 + x^4 + x^3 + x^2 - 2*x + 4 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 0, 1, 0]~], [2, [2, 0, 0, 0, 0, 1, 0]~, 1, 2, [1, 1, 1, 1, 1, 1, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, 1, 0, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(5,1) 

Field minimum poly (root): x^7 - x^6 + x^5 + x^4 - 2*x^3 + x^2 - x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[151, [43, 1, 0, 0, 0, 0, 0]~, 1, 1, [7, 56, -68, -9, -70, -44, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2051(3,1) 

Field minimum poly (root): x^7 - x^6 + x^5 - 2*x^4 + 2*x^3 - x^2 + 2*x - 1 (2)
Real ramification: [1]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, 2, 0, 4, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m346(3,2)* 

Field minimum poly (root): x^7 - x^6 + x^5 - 2*x^4 + 2*x^3 - x^2 + 2*x - 1 (2)
Real ramification: []
Finite ramification: [[59, [-26, 1, 0, 0, 0, 0, 0]~, 1, 1, [25, -15, 4, -9, 2, 25, 1]~], [113, [-41, 1, 0, 0, 0, 0, 0]~, 1, 1, [-11, 30, -2, 44, -54, 40, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m297(-5,1) 

Field minimum poly (root): x^7 - x^6 + x^5 - 2*x^4 - 3*x^3 - x^2 - 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 1, 0, 1]~], [79, [-33, 1, 0, 0, 0, 0, 0]~, 1, 1, [12, 10, -26, -39, 30, 32, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3352(1,3) 

Field minimum poly (root): x^7 - x^6 + x^5 - 2*x^4 - x^2 + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[29, [-5, 1, 0, 0, 0, 0, 0]~, 1, 1, [-6, -7, -7, -13, -8, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s893(-2,3) s957(2,1) s960(2,1) 

Field minimum poly (root): x^7 - x^6 + x^5 - 3*x^3 - 2*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3327(-4,1)* 

Field minimum poly (root): x^7 - x^6 + x^5 - 3*x^3 - 2*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2984(-5,1) 

Field minimum poly (root): x^7 - x^6 + x^5 - x^3 + x^2 + x - 1 (4)
Real ramification: []
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, -1, 0, 0, 1, 1]~], [3, [-1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m349(5,1)* 

Field minimum poly (root): x^7 - x^6 + x^5 - x^3 + x^2 + x - 1 (4)
Real ramification: [1]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0]~, 3, 1, [2, 2, 2, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m350(1,3)* 

Field minimum poly (root): x^7 - x^6 + x^5 - x^4 - 2*x^3 + 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, -1, -1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(3,1) 

Field minimum poly (root): x^7 - x^6 + x^5 - x^4 - x^3 + x^2 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [4, 1, 0, 0, 0, 0, 0]~, 1, 1, [-3, -3, 1, 6, -5, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m081(4,1)* v3358(3,1)* 

Field minimum poly (root): x^7 - x^6 + x^5 - x^4 - x^3 + x^2 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[41, [-11, 1, 0, 0, 0, 0, 0]~, 1, 1, [-15, 10, 12, -10, -12, 10, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m116(-1,3) 

Field minimum poly (root): x^7 - x^6 + x^5 - x^4 - x^3 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m159(3,2) 

Field minimum poly (root): x^7 - x^6 + x^5 - x^4 - x^3 - x + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m142(4,1) 

Field minimum poly (root): x^7 - x^6 - 2*x^4 + 3*x^3 - 3*x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s882(5,1)* 

Field minimum poly (root): x^7 - x^6 - 2*x^4 + 3*x^3 - 3*x^2 - x + 1 (4)
Real ramification: [1]
Finite ramification: [[23, [8, 1, 0, 0, 0, 0, 0]~, 1, 1, [9, -4, 9, -7, 6, 5, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2037(-5,1) v2037(5,1)* v2230(-4,1)* 

Field minimum poly (root): x^7 - x^6 - 2*x^4 + x^3 - 2*x^2 + 3*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-18, 8, 5, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s533(4,1)* 

Field minimum poly (root): x^7 - x^6 - 2*x^4 - x^2 + x + 1 (5)
Real ramification: [1, 3]
Finite ramification: [[13, [-6, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, 2, -4, 4, 5, 1]~], [13, [6, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, -6, 3, 6, 3, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1538(-4,1) v2018(3,1) 

Field minimum poly (root): x^7 - x^6 - 2*x^4 - x^2 + x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, -1, 1, 2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s874(-3,1)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 2*x^4 + 2*x^3 - x^2 - x - 1 (2)
Real ramification: []
Finite ramification: [[3, [1, 0, 1, 0, 0, 0, 0]~, 1, 2, [-1, -1, 0, 0, -1, 1, 0]~], [419, [29, 1, 0, 0, 0, 0, 0]~, 1, 1, [130, -149, 34, -30, 30, -30, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3126(1,4)* v3128(-1,4)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 2*x^4 + 3*x^3 - x^2 - 2*x + 4 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 0, 1, 1, 0]~, 2, 1, [2, 1, 2, 2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2345(3,2)* v2346(3,2)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 2*x^4 + 3*x^3 - x^2 - 2*x + 4 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 1, 1, 0, 0]~, 3, 1, [2, 1, 2, 1, 0, 0, 0]~], [2, [1, 0, 0, 0, 1, 1, 0]~, 2, 1, [2, 1, 2, 2, 2, 2, 1]~], [1931, [-776, 1, 0, 0, 0, 0, 0]~, 1, 1, [428, 633, -14, -87, -217, -381, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s916(3,2)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 2*x^4 + 3*x^3 - x^2 - 2*x + 4 (3)
Real ramification: []
Finite ramification: [[2, [1, 0, 1, 1, 1, 0, 0]~, 3, 1, [2, 1, 2, 1, 0, 0, 0]~], [2, [1, 0, 0, 0, 1, 1, 0]~, 2, 1, [2, 1, 2, 2, 2, 2, 1]~], [2, [0, 0, 0, 0, 0, 0, 1]~, 1, 2, [1, 1, 1, 1, 0, 0, 0]~], [7, [-3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 2, -2, 3, 1, -3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2402(5,1)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 4*x^4 + 4*x^3 - 4*x^2 - x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0]~, 2, 2, [1, 0, 1, 1, 0, 1, 0]~], [5, [-2, 0, 2, 1, 0, 0, 0]~, 1, 3, [2, -2, -1, 2, 1, 0, 0]~], [13, [-4, 1, 0, 0, 0, 0, 0]~, 2, 1, [3, 1, -2, 5, -3, 3, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2682(2,3)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 4*x^4 - 2*x^2 + 2*x - 1 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m120(-5,2) 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 5*x^4 - 6*x^2 + x + 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m286(-4,1)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 5*x^4 - 6*x^2 + x + 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m004(5,2) 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + 5*x^4 - x^3 - 6*x^2 + x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 1]~], [13, [-2, 1, 0, 0, 0, 0, 0]~, 2, 1, [-1, -1, -4, 5, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s254(1,3)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + x^4 + 2*x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[17, [4, 1, 0, 0, 0, 0, 0]~, 1, 1, [-4, 5, -5, -3, 1, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s955(1,3)* s957(1,3)* s960(1,3)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 + x^4 + 2*x^3 + x^2 - 2*x - 1 (5)
Real ramification: [1]
Finite ramification: [[31, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [-15, 9, 4, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3318(-4,1)* v3318(1,4)* 

Field minimum poly (root): x^7 - x^6 - 2*x^5 - x^4 + x^3 + 4*x^2 + x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m160(-5,2) 

Field minimum poly (root): x^7 - x^6 - 3*x^4 - 3*x^3 + 3*x^2 - 2*x + 4 (5)
Real ramification: [1]
Finite ramification: [[173, [59, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -52, -48, -51, 74, -57, 14]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3106(-4,1)* 

Field minimum poly (root): x^7 - x^6 - 3*x^4 - 3*x^3 + 3*x^2 - 2*x + 4 (5)
Real ramification: [1]
Finite ramification: [[4391, [1879, 1, 0, 0, 0, 0, 0]~, 1, 1, [1753, -1366, 1280, 1767, 2150, -1877, 14]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3110(4,1) 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + 2*x^4 + 3*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 1, 1, 0, 1]~], [13, [4, 1, 0, 0, 0, 0, 0]~, 1, 1, [-3, -6, -6, -1, 4, -5, 1]~], [229, [-35, 1, 0, 0, 0, 0, 0]~, 1, 1, [-72, -74, -2, 98, 42, 34, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3000(-3,4) 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + 2*x^4 + 3*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2993(-3,4) 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + 3*x^4 + 5*x^3 - 2*x^2 - 3*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [18, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 8, 6, 6, 18, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m346(-1,3)* 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + 3*x^4 + 5*x^3 - 2*x^2 - 3*x + 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m326(4,1) 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + 4*x^4 + 2*x^3 - 10*x^2 + 6*x - 1 (5)
Real ramification: [2]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, -3, -2, -1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3315(-4,3) v3490(2,3)* v3492(2,3)* 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + 5*x^4 + x^3 - 4*x^2 + 4*x - 1 (5)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 0, 1]~], [7, [9, 1, 0, 0, 0, 0, 0]~, 1, 1, [3, -3, 3, -1, 3, -3, 1]~], [89, [-22, 1, 0, 0, 0, 0, 0]~, 1, 1, [-4, 32, 34, -43, 14, 21, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3458(-3,2)* 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + 5*x^4 - x^3 - 4*x^2 + 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s764(-3,1)* 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + 5*x^4 - x^3 - 4*x^2 + 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [2, 0, 1, 0, 0, 0, 0]~, 1, 2, [2, -1, 2, 0, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s450(3,4) 

Field minimum poly (root): x^7 - x^6 - 3*x^5 + x^4 + 3*x^3 + 6*x^2 - 5*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, -3, -3, 2, -3, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s580(-5,1) s581(-1,3) 

Field minimum poly (root): x^7 - x^6 - 3*x^5 - 2*x^4 - 2*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [0, 0, 0, 0, 0, 0, 1]~, 1, 1, [3, 4, 3, 3, 1, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s861(-1,3)* 

Field minimum poly (root): x^7 - x^6 - 3*x^5 - x^4 + 8*x^3 + 12*x^2 + 8*x + 2 (4)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 4, 1, [0, 0, 0, 1, 1, 1, 1]~], [13, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-2, 3, 4, -4, -3, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3091(4,1)* 

Field minimum poly (root): x^7 - x^6 - 3*x^5 - x^4 + 8*x^3 + 12*x^2 + 8*x + 2 (4)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, -1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3411(3,2) v3412(-5,1)* 

Field minimum poly (root): x^7 - x^6 - 4*x^5 + 3*x^4 + 4*x^3 - 4*x^2 + 2 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m147(-3,4)* 

Field minimum poly (root): x^7 - x^6 - 4*x^5 + 3*x^4 + 5*x^3 - 5*x^2 - 3*x + 3 (4)
Real ramification: [2, 3]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, -1, 0, -1, -1, 1]~], [7, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, -2, 0, 1, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m293(1,3)* 

Field minimum poly (root): x^7 - x^6 - 4*x^5 + 6*x^4 + 2*x^3 - 5*x^2 + x + 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m293(-3,2)* 

Field minimum poly (root): x^7 - x^6 - 5*x^4 - x^3 + x^2 + 4 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3109(5,1)* 

Field minimum poly (root): x^7 - x^6 - 5*x^4 - x^3 + x^2 + 4 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3107(-5,1) 

Field minimum poly (root): x^7 - x^6 - 5*x^5 + 6*x^4 + 6*x^3 - 5*x^2 - 2*x + 1 (6)
Real ramification: [3, 4, 5]
Finite ramification: [[5, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, 1, 0, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s649(-4,3) 

Field minimum poly (root): x^7 - x^6 - 5*x^5 + 6*x^4 + 6*x^3 - 5*x^2 - 2*x + 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3264(4,1)* 

Field minimum poly (root): x^7 - x^6 - 5*x^5 + 6*x^4 + 6*x^3 - 5*x^2 - 2*x + 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s645(4,3)* s646(4,3)* 

Field minimum poly (root): x^7 - x^6 - 5*x^5 + 6*x^4 + 6*x^3 - 5*x^2 - 2*x + 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m038(1,2)* 

Field minimum poly (root): x^7 - x^6 - 5*x^5 + 9*x^3 + 5*x^2 - 2*x - 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3214(4,1)* 

Field minimum poly (root): x^7 - x^6 - 5*x^5 + 9*x^3 + 5*x^2 - 2*x - 2 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3329(-2,3)* 

Field minimum poly (root): x^7 - x^6 - 7*x^5 + 6*x^4 + 6*x^3 - 11*x^2 + 3*x + 2 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s921(-5,1) 

Field minimum poly (root): x^7 - x^6 - 7*x^5 + 6*x^4 + 6*x^3 - 11*x^2 + 3*x + 2 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 3, 1, 3, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2920(5,1) 

Field minimum poly (root): x^7 - x^6 - 7*x^5 + 6*x^4 + 6*x^3 - 11*x^2 + 3*x + 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3499(-1,2)* 

Field minimum poly (root): x^7 - x^6 - 7*x^5 + 6*x^4 + 6*x^3 - 11*x^2 + 3*x + 2 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2725(-4,1)* 

Field minimum poly (root): x^7 - x^6 - 7*x^5 + 6*x^4 + 6*x^3 - 11*x^2 + 3*x + 2 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m026(-5,2)* v2911(5,1)* v2919(5,1) 

Field minimum poly (root): x^7 - x^6 - x^4 + 3*x^3 - x^2 - x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 1, 0, 1, 0]~, 1, 5, [1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2099(-1,2) 

Field minimum poly (root): x^7 - x^6 - x^4 - 3*x^3 + 3*x^2 - 2*x + 4 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0]~, 1, 5, [0, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m288(2,3)* 

Field minimum poly (root): x^7 - x^6 - x^4 - 3*x^3 + 3*x^2 - 2*x + 4 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 2, 1, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0]~, 1, 5, [0, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m235(6,1)* 

Field minimum poly (root): x^7 - x^6 - x^4 - 3*x^3 + 3*x^2 - 2*x + 4 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m303(-4,1)* 

Field minimum poly (root): x^7 - x^6 - x^4 - 7*x^3 + 4*x^2 - 3*x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3214(-1,4) 

Field minimum poly (root): x^7 - x^6 - x^4 - x^3 - 3*x^2 + 1 (4)
Real ramification: [1]
Finite ramification: [[13, [-4, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 3, 5, 4, -4, 6, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1676(5,1) 

Field minimum poly (root): x^7 - x^6 - x^4 - x^3 - 3*x^2 + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s881(-2,3)* 

Field minimum poly (root): x^7 - x^6 - x^5 + 2*x^4 + 5*x^3 - 3*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 1, 1, 0, 1]~], [103, [43, 1, 0, 0, 0, 0, 0]~, 1, 1, [-12, 5, 43, -44, 37, -44, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s890(2,3) 

Field minimum poly (root): x^7 - x^6 - x^5 + 2*x^4 + x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m027(-4,1)* 

Field minimum poly (root): x^7 - x^6 - x^5 + 2*x^4 - 2*x^2 + x + 1 (3)
Real ramification: [1]
Finite ramification: [[467, [-145, 1, 0, 0, 0, 0, 0]~, 1, 1, [219, -108, -136, -104, -136, 144, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3443(-3,2) 

Field minimum poly (root): x^7 - x^6 - x^5 + 3*x^4 + 3*x^3 - 4*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s690(-5,1) 

Field minimum poly (root): x^7 - x^6 - x^5 + 3*x^4 - 2*x^3 + 2*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m288(4,1) 

Field minimum poly (root): x^7 - x^6 - x^5 + 3*x^4 - 2*x^3 - x^2 + x - 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1268(3,2)* 

Field minimum poly (root): x^7 - x^6 - x^5 + 4*x^4 - 2*x^3 - 4*x^2 + x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m006(-3,2) v2335(3,2)* 

Field minimum poly (root): x^7 - x^6 - x^5 + 4*x^4 - 2*x^3 - 4*x^2 + x + 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m222(3,2)* 

Field minimum poly (root): x^7 - x^6 - x^5 + 4*x^4 - 3*x^2 + 3*x + 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2876(-1,2)* 

Field minimum poly (root): x^7 - x^6 - x^5 + 4*x^4 - x^2 + 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, -2, -2, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s932(3,1)* v3007(-1,2) 

Field minimum poly (root): x^7 - x^6 - x^5 + 5*x^4 - 7*x^3 + 7*x^2 - 5*x + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2050(6,1) v2051(2,3)* v2806(-3,2) v2836(-3,2)* 

Field minimum poly (root): x^7 - x^6 - x^5 + x^3 + 2*x^2 - 4*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s438(-5,1) 

Field minimum poly (root): x^7 - x^6 - x^5 + x^4 + x^3 - 2*x^2 - x + 1 (4)
Real ramification: [3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m297(-1,3) 

Field minimum poly (root): x^7 - x^6 - x^5 + x^4 - x^2 + x + 1 (4)
Real ramification: [1]
Finite ramification: [[53, [-21, 1, 0, 0, 0, 0, 0]~, 1, 1, [5, -20, -11, 2, -5, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3276(1,3)* 

Field minimum poly (root): x^7 - x^6 - x^5 - 2*x^3 + 3*x^2 - x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0, 0]~, 1, 1, [5, -2, 6, 6, -2, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m303(4,1)* 

Field minimum poly (root): x^7 - x^6 - x^5 - 2*x^3 + 3*x^2 - x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1]~, 1, 6, [0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s297(4,1)* 

Field minimum poly (root): x^7 - x^6 - x^5 - 2*x^4 - 4*x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2573(-2,3) 

Field minimum poly (root): x^7 - x^6 - x^5 - x^4 + 2*x^3 - 2*x^2 + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[173, [15, 1, 0, 0, 0, 0, 0]~, 1, 1, [-25, -11, -10, 46, 65, -17, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m390(2,3)* 

Field minimum poly (root): x^7 - x^6 - x^5 - x^4 + 2*x^3 - 2*x^2 + 1 (5)
Real ramification: [2, 3]
Finite ramification: [[41, [14, 1, 0, 0, 0, 0, 0]~, 1, 1, [1, -10, -19, -17, 3, -16, 5]~], [41, [-19, 1, 0, 0, 0, 0, 0]~, 1, 1, [-15, -6, 3, -1, 12, 17, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s480(2,3)* s567(-4,1)* 

Field minimum poly (root): x^7 - x^6 - x^5 - x^4 + 2*x^3 - 2*x^2 + 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s477(2,3) 

Field minimum poly (root): x^8 + 2*x^6 - 2*x^5 + 2*x^4 - x^3 + 4*x^2 - 3*x + 1 (1)
Real ramification: []
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, -2, -2, 1, 2, -2, -1]~], [197, [-98, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -10, 28, -57, -76, -46, -98, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2158(-4,3) 

Field minimum poly (root): x^8 + 2*x^6 - x^5 + 3*x^4 - x^3 + x^2 - 2*x + 1 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 1, 0, 0, 1, 0, 1]~, 3, 1, [1, 2, 2, 1, 1, 2, 1, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -1, 1, 0, -1, -1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s773(3,2)* s781(-5,2) s786(3,2)* 

Field minimum poly (root): x^8 + 2*x^6 - x^5 + x^4 - 2*x^3 - x - 1 (5)
Real ramification: [2]
Finite ramification: [[67, [19, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, -11, -10, 11, 3, 28, -19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3278(-2,3) 

Field minimum poly (root): x^8 + 2*x^6 - x^5 - x^4 - 4*x^3 - 2*x^2 + 2*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s704(-1,2)* 

Field minimum poly (root): x^8 + 3*x^6 - x^5 + 3*x^4 + 3*x^3 + 2*x^2 - 4*x + 1 (5)
Real ramification: [2]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 2, 1, 1, 2, 2, 1]~], [2, [1, 1, 1, 1, 1, 1, 0, 1]~, 2, 1, [1, 2, 1, 1, 2, 2, 1, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, -1, 0, 1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s817(-5,1)* s818(-5,1)* 

Field minimum poly (root): x^8 + 3*x^6 - x^5 + 7*x^4 - 10*x^3 + 5*x^2 - 7*x + 4 (4)
Real ramification: [2]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 1, 0, 0, 1]~], [2, [1, 1, 0, 0, 0, 0, 0, 0]~, 4, 1, [0, 1, 0, 0, 1, 1, 1, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0]~, 1, 3, [0, 1, 0, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s746(-5,1)* 

Field minimum poly (root): x^8 + 4*x^6 - x^5 + 8*x^4 - x^3 + 7*x^2 - 2*x + 4 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 1, 1, 1, 1, 0]~, 3, 1, [2, 1, 1, 1, 2, 1, 0, 0]~], [5, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 2, 2, -1, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2467(5,1)* v2468(1,3)* v2469(1,3)* 

Field minimum poly (root): x^8 + 6*x^6 - x^5 + 12*x^4 - 5*x^3 + 7*x^2 - 7*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 2, 2, [0, 1, 0, 0, 0, 1, 1, 0]~], [19, [-4, 1, 0, 0, 0, 0, 0, 0]~, 3, 1, [-9, 9, -9, -1, -8, 3, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1183(3,4) 

Field minimum poly (root): x^8 + x^6 + 4*x^4 - 8*x^3 + x^2 + 3*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [-1, -1, -2, 0, 1, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2202(-4,1) v2203(4,1)* 

Field minimum poly (root): x^8 + x^6 + 4*x^4 - 8*x^3 + x^2 + 3*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, -1, -1, 0, 0, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s900(4,1)* 

Field minimum poly (root): x^8 + x^6 + 4*x^4 - 8*x^3 + x^2 + 3*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s897(4,1)* 

Field minimum poly (root): x^8 + x^6 - 2*x^5 + x^4 + 3*x^3 - 4*x^2 - 2*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0]~, 1, 6, [1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s296(2,3)* 

Field minimum poly (root): x^8 + x^6 - 2*x^5 + x^4 + 3*x^3 - 4*x^2 - 2*x + 1 (5)
Real ramification: [3]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0]~, 1, 6, [1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m306(2,3)* 

Field minimum poly (root): x^8 + x^6 - 2*x^5 + x^4 + 3*x^3 - 4*x^2 - 2*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 1, 1, 0]~], [373, [149, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -15, -55, 83, 37, -178, -149, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m304(2,3)* 

Field minimum poly (root): x^8 + x^6 - 2*x^5 - 6*x^4 - 2*x^3 - 11*x^2 - 2*x - 4 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 1, 0, 0, 1, 0]~, 1, 2, [2, 2, 2, 1, 2, 2, 1, 0]~], [71, [12, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, -11, -34, 12, 25, 22, 11, 10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3217(-4,3) 

Field minimum poly (root): x^8 + x^6 - 2*x^5 - 6*x^4 - 2*x^3 - 11*x^2 - 2*x - 4 (3)
Real ramification: [2]
Finite ramification: [[23, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, -5, -11, -9, -4, 10, 10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3213(-4,3) 

Field minimum poly (root): x^8 - 2*x^5 + 3*x^4 + 3*x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 0, 1, 0, 1, 0]~, 2, 1, [1, 2, 2, 1, 1, 1, 1, 1]~], [439, [204, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [218, 64, 14, -155, -129, -178, 31, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2750(-3,1)* 

Field minimum poly (root): x^8 - 2*x^5 - 2*x^4 - x^3 + 2*x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[17, [-8, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, 0, -2, 0, -4, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m338(2,3) 

Field minimum poly (root): x^8 - 2*x^5 - 2*x^4 - x^3 + 2*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m011(2,3) 

Field minimum poly (root): x^8 - 2*x^5 - 2*x^4 - x^3 + 2*x + 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3299(3,2) 

Field minimum poly (root): x^8 - 2*x^6 - 2*x^5 + 2*x^4 + 3*x^3 - x^2 - 3*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, -1, -1, 0, -1, 1, 1]~], [41, [19, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, 7, 19, -3, -17, -10, -19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m247(-2,3)* 

Field minimum poly (root): x^8 - 2*x^6 - 2*x^5 + 3*x^4 + 4*x^3 - 4*x^2 - 6*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s753(-1,3) 

Field minimum poly (root): x^8 - 2*x^6 - 2*x^5 + x^3 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, -2, 2, 2, -1, 1, 1]~], [139, [-35, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 24, -43, -37, -9, -28, 35, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s874(1,3)* 

Field minimum poly (root): x^8 - 2*x^6 - 2*x^5 + x^3 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2018(-1,3) v2638(-4,1) 

Field minimum poly (root): x^8 - 2*x^6 - 2*x^5 - 6*x^4 - 2*x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m147(3,2)* 

Field minimum poly (root): x^8 - 2*x^6 - 3*x^5 - 2*x^4 + 6*x^3 + 4*x^2 + x - 1 (6)
Real ramification: [3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3049(2,3)* 

Field minimum poly (root): x^8 - 2*x^6 - 5*x^5 - 4*x^4 - x^3 + 4*x^2 + 2*x + 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 1, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s536(5,2)* v1676(-4,1) 

Field minimum poly (root): x^8 - 2*x^6 - 6*x^5 - 2*x^4 + 6*x^3 + 6*x^2 + x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s758(-3,1) 

Field minimum poly (root): x^8 - 2*x^6 - 6*x^5 - 2*x^4 + 6*x^3 + 6*x^2 + x - 1 (5)
Real ramification: [1, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m343(4,1)* 

Field minimum poly (root): x^8 - 2*x^6 - 9*x^5 - 8*x^4 + 2*x^3 + 9*x^2 + 6*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 1, 1, 1, 1]~], [53, [-19, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [22, 3, -3, -7, 22, -9, 24, 13]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3226(3,2) 

Field minimum poly (root): x^8 - 2*x^6 - x^5 + 3*x^4 - 3*x^2 + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 1, 1, 0]~], [2, [1, 1, 1, 0, 0, 1, 1, 0]~, 1, 6, [1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2101(-3,2)* 

Field minimum poly (root): x^8 - 2*x^6 - x^5 + 3*x^4 - 3*x^2 + 1 (5)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0, 1, 1, 0]~, 1, 6, [1, 1, 1, 0, 0, 0, 0, 0]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [3, -2, -3, 2, 3, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s793(-4,1) 

Field minimum poly (root): x^8 - 2*x^6 - x^5 + 4*x^4 + 3*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[101, [-4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [25, -44, -10, 22, -46, 14, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m036(1,3) 

Field minimum poly (root): x^8 - 2*x^6 - x^5 + 4*x^4 + 3*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2473(-1,3)* 

Field minimum poly (root): x^8 - 2*x^6 - x^5 + x^4 - 2*x^3 - 5*x^2 - 4*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(1,3) 

Field minimum poly (root): x^8 - 2*x^6 - x^5 - 3*x^4 + 3*x^3 - x^2 + x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(3,1)* 

Field minimum poly (root): x^8 - 2*x^6 - x^5 - x^4 - x^3 + x^2 + 2*x - 1 (5)
Real ramification: [3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1695(5,1) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^5 + x^4 - x^3 - 3*x^2 + 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m240(-1,4) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^5 - 2*x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 1, 1, 1, 1, 1]~], [11, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -5, -1, 0, 5, 2, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2018(-2,3) v2721(-4,1) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^5 - 2*x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 1, 1, 1, 1, 1]~], [73, [-17, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-30, -6, 21, -3, 30, 36, 15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s874(2,3)* 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^5 - 3*x^4 + 2*x^3 - x^2 + x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 0, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, -1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2604(4,1) v3246(-1,2) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^5 - 3*x^4 + 2*x^3 - x^2 + x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s944(-4,1)* 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^5 - 3*x^4 + 4*x^3 - 7*x^2 + 2*x - 1 (3)
Real ramification: [1]
Finite ramification: [[43, [7, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-18, -17, 3, 8, -20, -5, -20, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2556(1,3)* 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^6 + x^5 - 3*x^4 + 3*x^3 + 4*x^2 - 8*x + 8 (4)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 1, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 1]~, 1, 2, [1, 2, 1, 2, 1, 2, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0]~, 1, 3, [0, 0, 0, 1, 0, 1, 0, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, -1, 0, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2808(5,1) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^6 + x^5 - 5*x^4 + 4*x^3 + 3*x^2 - 4*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, -1, -1, -1, -1, 0, 1]~], [43, [-17, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -2, -18, -19, -16, -1, 15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3508(-3,2) v3511(-3,2) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^6 + x^5 - x^4 - 6*x^3 + 3*x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 1, 1, 0]~], [3, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 0, 0, -1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2238(-3,2) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^6 - 2*x^5 - 3*x^4 + 6*x^3 - 2*x + 1 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s734(-4,1) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^6 - 2*x^5 - x^4 + 3*x^3 - 5*x^2 + 4*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m160(2,1) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^6 - 2*x^5 - x^4 - x^3 - 2*x + 1 (4)
Real ramification: [1]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 2, -2, 1, -2, 0, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s498(4,1) 

Field minimum poly (root): x^8 - 2*x^7 + 2*x^6 - x^5 - 2*x^4 + 3*x^3 - 2*x^2 - x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s648(-4,1)* 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^5 - x^4 - 4*x^3 + 3*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[229, [90, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-28, -48, -30, 41, -31, 36, -92, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3107(3,2) 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^5 - x^4 - 4*x^3 + 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3109(-3,2)* 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^6 - 2*x^5 - x^4 + 3*x^3 - 3*x^2 - x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m356(-1,4)* 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^6 - 4*x^5 + 2*x^3 + 3*x^2 - 2*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 0, 0, 0]~], [41, [-11, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, -12, -9, -12, -18, -1, 18, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3184(-6,1) 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^6 - 4*x^5 + 3*x^4 - 2*x^3 + x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 0, 1, -1, 1, 0, 0, 0]~, 1, 4, [-1, 1, 1, -1, 1, 0, 0, 0]~], [163, [38, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [30, 55, 20, 8, -13, 56, -40, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2715(-3,2) 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^6 - 4*x^5 + 6*x^4 - 4*x^3 + 2*x^2 + 2*x - 1 (5)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, -1, -1, 1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3427(4,1)* 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^6 - 5*x^5 + 4*x^4 - 3*x^3 + 3*x^2 - x + 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 0, 1, 1, 1, 1, 0]~], [263, [-130, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-87, -118, -7, -85, -116, 74, 128, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s471(4,3)* 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^6 - x^5 + 4*x^4 + 4*x^2 + x + 2 (1)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1, 1, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 1, 0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2229(-4,3)* v2230(4,3) v2231(5,1) 

Field minimum poly (root): x^8 - 2*x^7 + 3*x^6 - x^5 - 2*x^4 + 5*x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m006(-2,3) m302(-2,3) 

Field minimum poly (root): x^8 - 2*x^7 + 4*x^5 - 4*x^4 - 2*x^3 + 4*x^2 - x - 1 (5)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m151(4,1) 

Field minimum poly (root): x^8 - 2*x^7 + 4*x^6 - 6*x^5 - 5*x^4 + 20*x^3 - 11*x^2 - 8*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 2, 2, 2, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s938(-1,2)* 

Field minimum poly (root): x^8 - 2*x^7 + 4*x^6 - 6*x^5 - 5*x^4 + 20*x^3 - 11*x^2 - 8*x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 2, 2, 2, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s698(5,1) 

Field minimum poly (root): x^8 - 2*x^7 + 4*x^6 - 6*x^5 - 5*x^4 + 20*x^3 - 11*x^2 - 8*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 2, 2, 2, 2, 1, 2, 1]~], [2, [0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 2, 2, 2, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s699(5,1) 

Field minimum poly (root): x^8 - 2*x^7 + 4*x^6 - x^5 - 2*x^4 + 5*x^3 - x^2 - 4*x - 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, -1, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m100(5,2) 

Field minimum poly (root): x^8 - 2*x^7 + 5*x^5 - 3*x^4 - 4*x^3 + 4*x^2 + x - 1 (4)
Real ramification: [1]
Finite ramification: [[1481, [-634, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [591, 655, -319, 441, 267, -663, 632, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m312(-2,3)* 

Field minimum poly (root): x^8 - 2*x^7 + 6*x^5 - 6*x^4 - 5*x^3 + 6*x^2 + 2*x - 1 (6)
Real ramification: [3, 4]
Finite ramification: [[3, [1, 0, 1, 0, 0, 0, 0, 0]~, 1, 2, [-1, -1, 1, -1, -1, 1, 1, 0]~], [29, [6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 6, 0, 4, 8, -10, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2871(-3,1) v3246(1,2)* 

Field minimum poly (root): x^8 - 2*x^7 + 6*x^5 - 9*x^4 + 2*x^3 - 6*x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[17, [7, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [5, 10, 11, 15, 10, 12, 14, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s746(-3,2) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 + 2*x^5 + 7*x^4 - 2*x^3 + 3*x^2 + 2*x + 4 (2)
Real ramification: []
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 1, 1]~, 1, 2, [1, 2, 1, 0, 0, 0, 0, 0]~], [13, [-3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -6, 6, 5, -2, -5, 0, -5]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3208(5,2) v3209(5,2) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 + 2*x^5 + 7*x^4 - 2*x^3 + 3*x^2 + 2*x + 4 (2)
Real ramification: []
Finite ramification: [[5, [-1, -2, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 2, -1, 0, -1, 0]~], [103, [-37, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [46, 33, 50, -51, 11, 17, 33, 8]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3212(5,2) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 + 3*x^5 - 5*x^4 + 3*x^3 - x + 1 (4)
Real ramification: [2]
Finite ramification: [[131, [-25, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-21, -27, -43, -49, -7, 52, 23, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3165(-3,1) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 + 3*x^5 - x^4 - 4*x^3 + 2*x^2 + 3*x + 1 (4)
Real ramification: []
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 2, 2, 1, 0]~], [3533, [1299, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-496, 800, -686, 1578, 811, 1226, -1302, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1260(5,2) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 + 7*x^5 - 13*x^4 + 11*x^3 - 13*x^2 + 8*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[53, [-21, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-25, 17, 21, 0, -2, -14, -10, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2862(3,1) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 + 8*x^5 - 16*x^4 + 8*x^3 - x^2 - x - 1 (3)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, -1, 0, -1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s919(-1,3)* 

Field minimum poly (root): x^8 - 2*x^7 + x^6 + x^5 - x^4 - 2*x^3 + x^2 + 3*x + 2 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 2, [2, 1, 2, 1, 1, 1, 0, 0]~], [2887, [300, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1407, 1425, -1048, 1010, 807, 1102, -606, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2615(3,2)* 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - 2*x^5 + x^3 + x^2 + 3*x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 2, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m116(-2,3) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - 2*x^5 + x^3 + x^2 + 3*x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[37, [-7, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-17, -8, 3, 11, -9, -1, 4, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3185(-1,3) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - 2*x^5 + x^3 + x^2 + 3*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3240(-1,3) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - 2*x^5 - x^4 + 2*x^3 - 4*x^2 + 2*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[1627, [675, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [513, 229, 550, 653, -749, -207, -684, 17]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m147(2,3)* 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - 3*x^5 + 11*x^3 + x^2 - 5*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 0, 1, 1, 1, 1, 0]~], [7, [5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, -2, -3, -3, 2, 3, -2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2626(3,1)* 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - 3*x^5 + 17*x^4 - 11*x^3 + 8*x^2 - 5*x - 2 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3425(-1,2) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - 3*x^5 - 3*x^4 + 5*x^3 + x^2 - 3*x - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2238(1,3) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - x^5 + 3*x^4 - 4*x^3 - x^2 + 3*x + 1 (6)
Real ramification: [1, 3]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 0, -1, 1, 1, 0, 1]~], [5, [-2, 0, 1, 0, 0, 0, 0, 0]~, 1, 2, [2, 1, -1, 0, -2, -2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2604(-5,1) 

Field minimum poly (root): x^8 - 2*x^7 + x^6 - x^5 + 3*x^4 - 4*x^3 - x^2 + 3*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 0, -1, 1, 1, 0, 1]~], [7, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 3, -2, -1, 2, 2, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s944(5,1)* 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^4 + 8*x^3 - 5*x^2 + 5*x - 4 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3327(1,2)* 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 3*x^5 - 7*x^4 + 3*x^3 - 2*x^2 + 3*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[11, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -5, -5, 0, -2, -2, 1, 0]~], [13, [5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -2, 5, 6, -3, 5, -1, -4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s527(-5,1)* s528(-1,3)* 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 4*x^5 + 2*x^4 - 5*x^3 + 2*x^2 + 3*x - 2 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[13, [17, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -4, -5, 0, -6, -4, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2828(4,3) v3346(-4,1) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 4*x^5 + 2*x^4 - 5*x^3 + 2*x^2 + 3*x - 2 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[163, [32, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-51, 73, 64, -48, -29, -55, -34, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3470(-1,2) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 4*x^5 + 2*x^4 - 5*x^3 + 2*x^2 + 3*x - 2 (6)
Real ramification: [3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 0, 1]~], [647, [298, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [165, -222, 283, -179, 272, 112, -300, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2816(-4,3)* v2874(-1,3)* 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 4*x^5 + 2*x^4 - 5*x^3 + 2*x^2 + 3*x - 2 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[433, [173, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [10, 35, 165, -16, -90, -37, -175, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3469(-1,2) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 5*x^5 + x^4 - 7*x^3 + 3*x^2 + 4*x - 4 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 1, 1, 1, 0, 1, 1]~, 2, 1, [1, 2, 1, 1, 2, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2873(1,3)* v2874(1,3)* 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 5*x^5 - x^4 - 7*x^3 - x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 1, 1, 0, 0, 1]~, 3, 1, [1, 2, 2, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s882(3,2) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 5*x^5 - x^4 - 7*x^3 - x^2 + 4*x - 1 (6)
Real ramification: [3]
Finite ramification: [[2, [0, 1, 0, 1, 1, 0, 0, 1]~, 3, 1, [1, 2, 2, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s817(5,1)* s818(5,1)* s819(1,3)* 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 6*x^5 + 2*x^4 - 8*x^3 + 5*x - 1 (5)
Real ramification: [2]
Finite ramification: [[3331, [1234, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [413, -1377, 900, -1399, 981, -376, -1236, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s508(3,4) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 6*x^5 + 2*x^4 - 9*x^3 + 4*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[37, [18, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -4, -8, 2, 0, -12, 17, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3080(4,1) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 6*x^5 + 2*x^4 - 9*x^3 + 4*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -3, -2, 0, 1, -1, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2028(-4,1) v2889(4,1)* 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 6*x^5 + 2*x^4 - 9*x^3 + 4*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2722(-3,1) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 7*x^5 + 2*x^4 - 11*x^3 + 4*x - 1 (5)
Real ramification: [4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2534(1,3) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 7*x^5 - 2*x^4 - 10*x^3 + 8*x^2 + 6*x - 5 (6)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s348(-5,2) 

Field minimum poly (root): x^8 - 2*x^7 - 2*x^6 + 8*x^5 - 4*x^4 - 8*x^3 + 9*x^2 + x - 4 (5)
Real ramification: [3, 4]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 0, 0, 1]~], [59, [-21, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -28, -13, 11, 26, -16, 19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s350(-3,2) 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 11*x^5 - 4*x^4 - 13*x^3 + 8*x^2 + 5*x - 2 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 1, 0, 1]~], [7, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 3, -1, 1, 1, -2, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s901(-3,2)* 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 11*x^5 - 4*x^4 - 13*x^3 + 8*x^2 + 5*x - 2 (7)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2920(4,1)* 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 11*x^5 - 4*x^4 - 13*x^3 + 8*x^2 + 5*x - 2 (7)
Real ramification: [2, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2919(4,1)* 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 4*x^5 + 11*x^4 - 8*x^3 - 16*x^2 + 8*x + 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3454(-4,1) 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 4*x^5 + 11*x^4 - 8*x^3 - 16*x^2 + 8*x + 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3453(-4,1) 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 4*x^5 + x^4 + 16*x^3 - 11*x^2 - 18*x - 4 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[19, [-7, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, -3, 0, 0, 7, -3, 8]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3469(-1,3) v3470(5,1)* 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 4*x^5 + x^4 + 16*x^3 - 11*x^2 - 18*x - 4 (5)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3470(-1,3) 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 6*x^5 + 4*x^4 - 7*x^3 - 4*x^2 + 3*x + 1 (5)
Real ramification: [3]
Finite ramification: [[17, [-4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -4, 0, 6, -8, 5, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m342(-4,1)* 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 6*x^5 - 5*x^4 + 2*x^3 + 2*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(3,2) 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 8*x^5 + x^4 - 14*x^3 - 8*x^2 + 2*x + 2 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 4, 1, [0, 0, 0, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1808(4,1) 

Field minimum poly (root): x^8 - 2*x^7 - 3*x^6 + 9*x^5 - 3*x^4 - 7*x^3 + 9*x^2 - 4*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, 7, -1, 3, 3, -3, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s254(2,3) 

Field minimum poly (root): x^8 - 2*x^7 - 4*x^6 + 11*x^5 - 2*x^4 - 11*x^3 + 8*x^2 + 2*x - 4 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 2, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m294(3,4)* 

Field minimum poly (root): x^8 - 2*x^7 - 4*x^6 + 8*x^5 + 5*x^4 - 11*x^3 - x^2 + 7*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 1, 0, 1, 1, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 0, 1, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0]~, 1, 3, [1, 0, 1, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m149(1,3)* 

Field minimum poly (root): x^8 - 2*x^7 - 4*x^6 + 8*x^5 + 5*x^4 - 11*x^3 - x^2 + 7*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 0, 1, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0]~, 1, 3, [1, 0, 1, 1, 0, 1, 0, 0]~], [17, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 5, 7, 4, -4, 3, -6, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3504(1,3)* 

Field minimum poly (root): x^8 - 2*x^7 - 4*x^6 + 8*x^5 + 5*x^4 - 11*x^3 - x^2 + 7*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m116(2,3) 

Field minimum poly (root): x^8 - 2*x^7 - 5*x^6 + 9*x^5 + 20*x^4 - 40*x^3 - 4*x^2 + 38*x - 16 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 1, 0, 0, 0, 1]~, 1, 1, [2, 1, 1, 2, 2, 1, 2, 1]~], [3, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, -1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3009(-5,1)* 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 2*x^5 + 2*x^4 - x^3 - 4*x^2 + 6*x - 2 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 1, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1249(-5,1) 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 2*x^5 + 2*x^4 - x^3 - 4*x^2 + 6*x - 2 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2678(1,2)* 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 5*x^5 + x^4 - 7*x^3 - x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m390(-5,2)* 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 5*x^5 + x^4 - 7*x^3 - x^2 + 4*x - 1 (6)
Real ramification: [3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0819(2,3) 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 5*x^5 + x^4 - 7*x^3 - x^2 + 4*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[3, [1, 0, 1, 0, 0, 0, 0, 0]~, 1, 2, [-1, 1, 0, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s480(-5,2)* v0953(-5,2)* 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 5*x^5 - x^4 - 5*x^3 + 2*x^2 + 3*x - 1 (4)
Real ramification: [1]
Finite ramification: [[29, [-5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -11, 9, -3, -12, 14, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3351(1,3) 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 7*x^5 - 5*x^4 - 5*x^3 + 8*x^2 - 2*x - 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 1, 1, 1, 0, 1]~], [11, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -4, 5, 5, 5, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2876(-4,1) 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 7*x^5 - 8*x^4 - 9*x^3 + 11*x^2 + 4*x - 4 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 1, 1, 0, 1, 0]~, 1, 6, [0, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2623(-4,1)* 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 7*x^5 - x^4 - 11*x^3 + 12*x^2 - 1 (4)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 1, 0, 1, 0, 0, 1]~, 1, 1, [2, 1, 1, 2, 1, 1, 1, 1]~], [2, [1, 1, 0, 1, 1, 1, 0, 0]~, 1, 5, [1, 1, 1, 1, 0, 0, 0, 0]~], [389, [-68, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-146, -163, 61, -125, 140, -181, 63, 14]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3216(-1,3)* 

Field minimum poly (root): x^8 - 2*x^7 - x^6 + 9*x^5 - 15*x^4 + 5*x^3 + 3*x^2 + 1 (6)
Real ramification: [2, 3]
Finite ramification: [[23, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [10, 6, 4, 3, 4, 5, -5, 7]~], [29, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -7, 7, 6, 7, -9, -14, -5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3128(3,2)* 

Field minimum poly (root): x^8 - 3*x^6 + 3*x^4 - 2*x^3 + 2*x^2 + 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1, 0, 0, 0]~], [2, [1, 0, 0, 1, 1, 1, 1, 0]~, 1, 3, [2, 2, 1, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m356(-3,2) 

Field minimum poly (root): x^8 - 3*x^6 + 4*x^4 - x^3 - 4*x^2 + x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 1, 1, 1, 0]~], [43, [-21, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, -4, 6, -4, 8, 21, 1]~], [107, [47, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [41, -35, -13, -43, 1, -41, -47, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s763(3,2) 

Field minimum poly (root): x^8 - 3*x^6 - 2*x^5 - 2*x^3 + 3*x^2 + 8*x + 4 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 2, 3, 2, 1, 0]~], [41, [-11, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [20, 2, -17, -8, -12, -6, 13, 12]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2683(-6,1)* v2896(-6,1) 

Field minimum poly (root): x^8 - 3*x^6 - 2*x^5 - x^4 + 2*x^3 - x^2 - 2*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -3, -1, -1, 0, 2, -3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s437(3,2) 

Field minimum poly (root): x^8 - 3*x^6 - 3*x^5 - 5*x^4 + 4*x^3 + 4*x^2 + 6*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s921(-4,3)* 

Field minimum poly (root): x^8 - 3*x^6 - 4*x^5 + 5*x^4 + 4*x^3 - 3*x^2 + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [-17, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, -12, 0, -4, -15, 17, -3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3122(1,3) 

Field minimum poly (root): x^8 - 3*x^6 - 5*x^5 + x^4 + 7*x^3 + 3*x^2 - 2*x - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[13, [-6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, 6, 2, -2, -6, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s900(-4,3) 

Field minimum poly (root): x^8 - 3*x^6 - 5*x^5 + x^4 + 7*x^3 + 3*x^2 - 2*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 1, 1, 0]~], [199, [-69, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [75, 4, 75, -74, -53, -18, 69, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2202(4,3)* v2203(-4,3) 

Field minimum poly (root): x^8 - 3*x^6 - 5*x^5 + x^4 + 7*x^3 + 3*x^2 - 2*x - 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s897(-4,3) 

Field minimum poly (root): x^8 - 3*x^6 - 5*x^5 - 10*x^4 - 6*x^3 - 3*x^2 - x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 5, 1, [0, 1, 1, 1, 0, 0, 1, 1]~], [23, [-11, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [5, -11, 4, -3, 2, 1, 7, 11]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s936(-1,4) 

Field minimum poly (root): x^8 - 3*x^6 - x^5 + 3*x^4 + x^3 - 2*x^2 + x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[151, [-43, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, -42, -22, 10, -49, 34, 43, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s256(-4,1) 

Field minimum poly (root): x^8 - 3*x^6 - x^5 + 3*x^4 + x^3 - 2*x^2 + x + 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[19, [-4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 8, -7, -2, -6, -6, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m006(4,1)* 

Field minimum poly (root): x^8 - 3*x^6 - x^5 + 6*x^4 + 3*x^3 - 5*x^2 - x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 0, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s761(4,3) 

Field minimum poly (root): x^8 - 3*x^7 + 10*x^5 - 8*x^4 - 13*x^3 + 18*x^2 + 4*x - 8 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3077(-5,1) 

Field minimum poly (root): x^8 - 3*x^7 + 2*x^6 + 4*x^5 - 9*x^4 + 4*x^3 + 4*x^2 - 5*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 1, 1, 1, 0, 1, 0]~], [2, [1, 1, 1, 1, 1, 0, 0, 0]~, 1, 4, [1, 0, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m400(3,2) 

Field minimum poly (root): x^8 - 3*x^7 + 2*x^6 + x^5 - 2*x^4 + 3*x^3 - 2*x^2 - 2*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m310(-5,1) 

Field minimum poly (root): x^8 - 3*x^7 + 2*x^6 + x^5 - 4*x^4 + 2*x^3 - 3*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3076(-1,3)* 

Field minimum poly (root): x^8 - 3*x^7 + 2*x^6 - 2*x^5 + 3*x^4 + 2*x^3 - 5*x^2 + x + 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m137(-5,2) 

Field minimum poly (root): x^8 - 3*x^7 + 2*x^6 - 2*x^5 + 3*x^4 + 5*x^3 - 4*x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3420(2,3)* 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^5 - x^4 + 4*x^2 + 5*x + 2 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[173, [19, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, -63, -42, -16, 19, 72, -22, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s944(4,1)* 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^5 - x^4 + 4*x^2 + 5*x + 2 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2046(2,3)* v3068(-1,2)* 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^5 - x^4 + 4*x^2 + 5*x + 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, -1, 2, -1, -2, -1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2604(-4,1) 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^6 + 2*x^5 - 8*x^4 + 9*x^3 - 3*x^2 - 2*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 1, 1, 1]~], [2, [1, 1, 0, 0, 1, 1, 1, 0]~, 1, 6, [0, 0, 1, 0, 0, 0, 0, 0]~], [13, [6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -4, -2, 4, -2, 5, 4, 1]~], [29, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -14, 9, 0, 4, 1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2189(-4,1) 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^6 + 3*x^5 - 7*x^4 + 3*x^3 + 3*x^2 - 3*x + 1 (3)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 1, 0, 0, 1, 0]~, 1, 6, [1, 1, 1, 0, 0, 0, 0, 0]~], [17, [1, -4, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 6, -8, 6, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2585(1,2) 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^6 - 6*x^5 + 8*x^4 - x^3 - 4*x^2 + 5*x - 2 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 0, 0, 1, 1, 1]~], [11, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-5, -1, -4, 2, -2, 4, 4, -5]~], [13, [-4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -3, 0, -3, -4, 2, -4, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3019(4,3)* v3490(3,2)* v3492(3,2)* 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^6 - x^5 + x^4 - 2*x^3 - 2*x^2 + 3*x + 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m263(5,1)* 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^6 - x^5 - 2*x^4 + 3*x^3 - 2*x^2 + x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[41, [-17, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, -9, 2, 12, -4, -5, 14, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2604(5,1) 

Field minimum poly (root): x^8 - 3*x^7 + 3*x^6 - x^5 - 2*x^4 + 3*x^3 - 2*x^2 + x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s944(-5,1)* 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^5 + 2*x^4 - 8*x^3 + 5*x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, -1, -1, 1, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m373(1,3) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 2*x^5 + 8*x^4 - 29*x^3 + 53*x^2 - 51*x + 17 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 0, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3454(5,1) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 2*x^5 + 8*x^4 - 29*x^3 + 53*x^2 - 51*x + 17 (5)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(1,3) v3453(5,1) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 2*x^5 - 2*x^4 + 4*x^3 - 5*x^2 + 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, -1, 1, -2, 0, -2, 1, 1]~], [131, [25, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-21, -20, 53, 19, -48, 49, -28, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2910(-3,2) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 2*x^5 - 4*x^4 + 10*x^3 - 12*x^2 + 6*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 1, 0, 1, 0]~], [5, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, -2, 1, 0, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s764(3,1)* 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 4*x^4 + 4*x^3 + x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 0, 0, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(3,1) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 4*x^5 + x^4 + x^3 - 7*x^2 + 3*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m023(-5,2) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 6*x^5 + 6*x^4 + 6*x^3 - 15*x^2 + 2*x + 4 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2986(-1,2) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 6*x^5 + 6*x^4 + 6*x^3 - 15*x^2 + 2*x + 4 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s841(-6,1)* 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 6*x^5 + x^4 + 6*x^3 - x^2 + 3*x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 0, 0, 1, 1, 0, 1, 1]~, 3, 1, [1, 1, 2, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3377(-1,4) v3378(-1,4) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - 7*x^5 + 7*x^4 - 5*x^3 + 4*x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 1]~, 2, 2, [2, 2, 2, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3425(-3,1) 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - x^5 + 5*x^3 - 2*x^2 - 4*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3245(-1,3)* 

Field minimum poly (root): x^8 - 3*x^7 + 4*x^6 - x^5 + x^4 + 7*x^3 - 4*x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 1, 0]~, 1, 2, [2, 2, 1, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3528(5,1) 

Field minimum poly (root): x^8 - 3*x^7 + 5*x^6 - 4*x^5 + 3*x^4 - 3*x^3 + 4*x^2 - 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(-2,3) v2335(6,1) 

Field minimum poly (root): x^8 - 3*x^7 + 6*x^6 - 10*x^5 + 11*x^4 - 8*x^3 + 6*x^2 - 3*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [2, 1, 2, 2, 2, 1, 1, 0]~], [3, [-1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 1, -1, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(-1,3) 

Field minimum poly (root): x^8 - 3*x^7 + 6*x^6 - 4*x^5 + x^4 + 4*x^3 - 3*x^2 + x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 1, 0, 1, 1]~, 2, 1, [1, 1, 2, 1, 1, 1, 1, 0]~], [2, [2, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 2, 2, 1, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2715(-2,3) v2716(6,1) v3071(-2,3) 

Field minimum poly (root): x^8 - 3*x^7 + 8*x^5 - 10*x^4 + 7*x^3 - 4*x^2 + 2*x - 2 (4)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3490(-2,3)* v3492(-2,3)* 

Field minimum poly (root): x^8 - 3*x^7 + 8*x^6 - 15*x^5 + 18*x^4 - 17*x^3 + 9*x^2 - 4*x - 1 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 1, 1, 0, 1]~], [2, [1, 0, 1, 1, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 0, 0, 1, 0, 0]~], [271, [133, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-115, 120, 98, -55, -28, -62, 127, 19]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s927(-4,1)* 

Field minimum poly (root): x^8 - 3*x^7 + x^6 + 6*x^5 - 16*x^4 + 19*x^3 - 19*x^2 + 8*x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 2, 1, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3454(1,3)* 

Field minimum poly (root): x^8 - 3*x^7 + x^6 + 6*x^5 - 16*x^4 + 19*x^3 - 19*x^2 + 8*x - 1 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 1, 0, 1, 1]~, 4, 1, [1, 2, 2, 1, 2, 1, 1, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 2, 1, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3453(1,3)* 

Field minimum poly (root): x^8 - 3*x^7 + x^6 - 3*x^5 + 8*x^4 + 2*x^3 - 4*x^2 - 2*x - 1 (5)
Real ramification: [1, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2665(4,3) 

Field minimum poly (root): x^8 - 3*x^7 + x^6 - x^5 + 5*x^4 + 3*x^2 + 2*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 1, 1, 1]~], [2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 1, 1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m372(5,1) 

Field minimum poly (root): x^8 - 3*x^7 - 2*x^6 + 11*x^5 - x^4 - 14*x^3 + 4*x^2 + 8*x - 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 0, 1, 0, 0, 1]~], [2, [0, 1, 0, 0, 0, 0, 0, 0]~, 4, 1, [0, 0, 0, 1, 1, 0, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m305(-2,3)* 

Field minimum poly (root): x^8 - 3*x^7 - 2*x^6 + 11*x^5 - x^4 - 14*x^3 + 4*x^2 + 8*x - 2 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m307(-2,3)* m319(-5,1)* 

Field minimum poly (root): x^8 - 3*x^7 - 2*x^6 + 13*x^5 - 5*x^4 - 11*x^3 + 6*x^2 + 2*x - 2 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 1, 1, 0, 1, 1]~], [3, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, -1, -1, -1, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s313(5,1) 

Field minimum poly (root): x^8 - 3*x^7 - 2*x^6 + 16*x^5 - 11*x^4 - 21*x^3 + 16*x^2 + 12*x - 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3184(4,1)* 

Field minimum poly (root): x^8 - 3*x^7 - x^6 + 10*x^5 - 5*x^4 - 11*x^3 + 8*x^2 + 4*x - 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2877(-4,1) 

Field minimum poly (root): x^8 - 3*x^7 - x^6 + 5*x^5 + 11*x^4 - 16*x^3 - 11*x^2 + 17*x - 4 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 0, 0, 1, 0]~], [11, [5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 4, -3, 4, -3, -5, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1809(5,1) 

Field minimum poly (root): x^8 - 3*x^7 - x^6 + 6*x^5 + x^4 - 3*x^2 - 3*x - 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0]~, 1, 5, [0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m148(-5,1)* 

Field minimum poly (root): x^8 - 3*x^7 - x^6 + 8*x^5 - 4*x^4 + 2*x^3 - 4*x^2 - 4*x + 4 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 1]~, 3, 2, [2, 2, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m234(1,4) 

Field minimum poly (root): x^8 - 3*x^7 - x^6 + 9*x^5 + 2*x^4 - 12*x^3 - 5*x^2 + 6*x + 4 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s878(-3,1)* s879(4,1)* 

Field minimum poly (root): x^8 - 3*x^7 - x^6 + 9*x^5 - 4*x^4 - 10*x^3 + 17*x^2 - 5*x - 8 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1, 0, 0, 0]~], [2, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3216(-7,1) 

Field minimum poly (root): x^8 - 4*x^6 - 3*x^5 + x^4 + 5*x^3 - 2*x^2 - 5*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[83, [6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 38, 37, 4, -21, 33, -22, 22]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3288(1,3)* 

Field minimum poly (root): x^8 - 4*x^7 + 3*x^6 + 4*x^4 - x^3 + 4*x^2 - x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1, 1, 0]~], [2, [0, 0, 1, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 2, 2, 2, 2, 1, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 2, 2, 2, 2, 1]~], [5, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, 1, 2, 2, -2, -1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s819(5,1) v1638(5,1) 

Field minimum poly (root): x^8 - 4*x^7 + 6*x^6 - 2*x^5 - 8*x^4 + 13*x^3 - 8*x^2 + 2*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[13, [-3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 5, 0, 0, -6, 3, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1730(1,2) 

Field minimum poly (root): x^8 - 4*x^7 + 6*x^6 - 4*x^5 - 2*x^4 + 2*x^3 + 8*x^2 - 4*x - 4 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3091(-4,3) 

Field minimum poly (root): x^8 - 4*x^7 + 7*x^6 - 5*x^5 - 3*x^4 + 8*x^3 - 5*x^2 - x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s784(-3,1)* 

Field minimum poly (root): x^8 - 4*x^7 + 7*x^6 - 7*x^5 + 9*x^4 - 2*x^3 + x^2 + 5*x - 2 (3)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 1, 0, 0]~], [2, [1, 0, 1, 1, 1, 0, 1, 1]~, 4, 1, [2, 1, 2, 1, 1, 1, 0, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3091(2,3)* 

Field minimum poly (root): x^8 - 4*x^7 + x^6 + 10*x^5 - 4*x^4 - 13*x^3 + 4*x^2 + 7*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[13, [-6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 5, -2, 4, -3, 0, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m304(-3,2)* 

Field minimum poly (root): x^8 - 4*x^7 + x^6 + 10*x^5 - 4*x^4 - 13*x^3 + 4*x^2 + 7*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 1, 0, 1, 1, 1, 0]~, 1, 6, [1, 1, 1, 0, 0, 0, 0, 0]~], [13, [-4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 4, 0, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m340(-5,1) 

Field minimum poly (root): x^8 - 4*x^7 + x^6 + 10*x^5 - 4*x^4 - 13*x^3 + 4*x^2 + 7*x - 1 (6)
Real ramification: [2, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 1, 1, 1, 0]~], [2, [1, 0, 1, 0, 1, 1, 1, 0]~, 1, 6, [1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(-1,3)* 

Field minimum poly (root): x^8 - 4*x^7 + x^6 + 8*x^5 - x^4 - 7*x^3 + 3*x^2 + 3*x - 2 (6)
Real ramification: [3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0, 0, 1, 1]~], [2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s819(-1,3) 

Field minimum poly (root): x^8 - 4*x^7 - 4*x^6 + 14*x^5 + 23*x^4 - 13*x^3 - 32*x^2 - 6*x + 4 (7)
Real ramification: [1, 3, 5, 6]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 1, 2, 2, 2, 1, 0]~], [2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3109(-2,3)* 

Field minimum poly (root): x^8 - 4*x^7 - 4*x^6 + 14*x^5 + 23*x^4 - 13*x^3 - 32*x^2 - 6*x + 4 (7)
Real ramification: [1, 3, 5]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 1, 2, 2, 2, 1, 0]~], [2, [3, 0, 1, 0, 0, 1, 0, 1]~, 1, 1, [2, 1, 2, 1, 2, 2, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3107(2,3) 

Field minimum poly (root): x^8 - 5*x^6 - 6*x^5 + 2*x^4 + 13*x^3 + 8*x^2 - x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, 0, -1, 0, -1, 1, 0]~], [7, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 1, -1, -3, 1, 3, -1]~], [1597, [-34, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-29, -546, 212, 56, -789, -451, 18, 41]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s749(5,1) s750(4,3) 

Field minimum poly (root): x^8 - 5*x^6 - 6*x^5 + 2*x^4 + 13*x^3 + 8*x^2 - x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, 0, -1, 0, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s788(-2,3) s837(-5,1) 

Field minimum poly (root): x^8 - 6*x^6 - 5*x^5 + 7*x^4 + 10*x^3 - x^2 - 4*x - 1 (7)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m038(3,2)* 

Field minimum poly (root): x^8 - 6*x^6 - 5*x^5 + 7*x^4 + 10*x^3 - x^2 - 4*x - 1 (7)
Real ramification: [3, 5, 6]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2203(1,3)* 

Field minimum poly (root): x^8 - 6*x^6 - 5*x^5 + 7*x^4 + 10*x^3 - x^2 - 4*x - 1 (7)
Real ramification: [2, 3, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s900(1,3)* 

Field minimum poly (root): x^8 - 6*x^6 - 5*x^5 + 7*x^4 + 10*x^3 - x^2 - 4*x - 1 (7)
Real ramification: [2, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s897(1,3)* 

Field minimum poly (root): x^8 - 6*x^6 - 5*x^5 + 7*x^4 + 10*x^3 - x^2 - 4*x - 1 (7)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/1
Manifolds: v2202(-1,3) 

Field minimum poly (root): x^8 - 7*x^6 - 2*x^5 + 14*x^4 + 2*x^3 - 9*x^2 + 4*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 1, 1, 0, 1, 1, 1]~, 2, 1, [1, 1, 2, 2, 1, 1, 1, 0]~], [2, [0, 1, 1, 0, 0, 0, 1, 1]~, 2, 1, [2, 2, 1, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2878(3,1) 

Field minimum poly (root): x^8 - x^4 - x^3 + 2*x^2 + x - 1 (3)
Real ramification: [2]
Finite ramification: [[11, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -2, 2, 4, 3, 4, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m337(5,1) 

Field minimum poly (root): x^8 - x^4 - x^3 + 2*x^2 + x - 1 (3)
Real ramification: [2]
Finite ramification: [[13, [5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -6, -1, 0, 5, -1, -5, 1]~], [17, [-5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 8, 8, -5, 6, 8, 5, 1]~], [107, [-44, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-17, -15, -32, -8, 12, 10, 44, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m338(-1,3)* 

Field minimum poly (root): x^8 - x^5 + 2*x^2 - 4*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0, 0]~, 1, 3, [1, 0, 1, 1, 1, 1, 0, 0]~], [269, [-13, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-76, 112, -98, 59, 23, -90, -6, 53]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s403(-5,1) 

Field minimum poly (root): x^8 - x^5 + x^4 - 3*x^2 + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m078(-1,3) 

Field minimum poly (root): x^8 - x^6 - 2*x^5 + 3*x^4 - 2*x^3 - x^2 + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[193, [-21, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-74, 12, 7, 62, -52, -85, 42, 2]~], [193, [-46, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-29, 76, 7, -49, 32, -16, 92, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m121(-4,3) 

Field minimum poly (root): x^8 - x^6 - 2*x^5 + x^3 + x + 1 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2274(5,2)* 

Field minimum poly (root): x^8 - x^6 - 2*x^5 - 2*x^4 + x^3 + x^2 + 2*x + 1 (6)
Real ramification: [1]
Finite ramification: [[41, [-19, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, 10, -6, -9, -9, -9, 19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m363(3,1)* 

Field minimum poly (root): x^8 - x^6 - 3*x^5 + x^4 + 7*x^3 - 8*x^2 - 4*x + 8 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[37, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [15, 9, -13, 10, 12, 9, -6, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m389(-6,1) 

Field minimum poly (root): x^8 - x^6 - 3*x^5 + x^4 + 7*x^3 - 8*x^2 - 4*x + 8 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s478(6,1)* s479(-6,1) 

Field minimum poly (root): x^8 - x^6 - 6*x^4 - 4*x^3 + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [-9, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, 1, -2, 3, -4, 8, -1, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m361(-1,4) 

Field minimum poly (root): x^8 - x^6 - 6*x^5 - 3*x^4 + 6*x^3 + 4*x^2 - 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1, 0, 0, 0]~], [2, [2, 0, 0, 0, 1, 0, 1, 1]~, 1, 3, [1, 1, 1, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m148(3,2)* 

Field minimum poly (root): x^8 - x^6 - x^5 - 6*x^4 + x^3 + 3*x^2 + 6*x + 4 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[1297, [-450, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-194, 477, -70, 359, -82, 164, 448, 10]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3470(-4,1)* 

Field minimum poly (root): x^8 - x^7 + 2*x^3 - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[13, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -3, 5, -5, 4, 2, 1, 1]~], [43, [10, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, -3, -4, -8, 18, -19, -11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3014(3,4) v3457(-3,2)* 

Field minimum poly (root): x^8 - x^7 + 2*x^3 - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3528(1,2) 

Field minimum poly (root): x^8 - x^7 + 2*x^5 + x^4 + 3*x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 4]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 1, 0, 0, -1, 0, 0, 1]~], [1087, [-198, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [269, -70, -187, 21, 55, -126, 197, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2018(-5,1)* 

Field minimum poly (root): x^8 - x^7 + 2*x^5 + x^4 + 3*x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 1, 0, 0, -1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s874(5,1) 

Field minimum poly (root): x^8 - x^7 + 2*x^5 + x^4 + x^3 - 4*x^2 - 2*x - 2 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2664(1,4)* 

Field minimum poly (root): x^8 - x^7 + 2*x^5 - 2*x^4 + 2*x^3 + x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, 0, -1, 0, 0, 1]~], [107, [-39, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, -3, -44, 29, 20, -16, 38, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3123(1,3) v3427(3,2) 

Field minimum poly (root): x^8 - x^7 + 2*x^5 - 2*x^4 + 2*x^3 + x^2 - x + 1 (3)
Real ramification: [2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, 0, -1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3467(3,2)* 

Field minimum poly (root): x^8 - x^7 + 2*x^5 - 2*x^4 + 3*x^3 + x^2 - x + 1 (3)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3528(-1,3) 

Field minimum poly (root): x^8 - x^7 + 2*x^5 - 6*x^4 + x^3 - 9*x^2 - 4 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 0, 0, 0, 1, 0, 0]~, 1, 2, [1, 2, 2, 2, 2, 1, 0, 0]~], [11, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 4, -2, 2, 3, 1, -5, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2910(4,1) 

Field minimum poly (root): x^8 - x^7 + 2*x^6 + 2*x^5 - 2*x^4 + 4*x^3 + x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[7, [-1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, -1, 2, -3, 2, 0, 1]~], [227, [105, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [80, 103, 12, 41, -35, 9, -106, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2795(-3,4) v3074(3,2) v3492(-1,2) 

Field minimum poly (root): x^8 - x^7 + 2*x^6 + 2*x^5 - 2*x^4 + 4*x^3 + x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[7, [-1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, -1, 2, -3, 2, 0, 1]~], [263, [-52, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-86, 54, 87, 37, -65, 24, 51, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2796(4,1) v2797(-3,4) 

Field minimum poly (root): x^8 - x^7 + 2*x^6 + x^5 + 3*x^3 - x^2 + 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2876(-3,2)* 

Field minimum poly (root): x^8 - x^7 + 2*x^6 - 2*x^5 + x^3 - x^2 + 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[73, [-25, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-35, -19, -27, 31, 10, 18, 24, 1]~], [73, [-20, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, 26, 5, -29, -27, 17, 19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2050(5,2) 

Field minimum poly (root): x^8 - x^7 + 2*x^6 - x^5 + 4*x^4 - 3*x^3 + 2*x^2 + 5*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s777(-5,2) 

Field minimum poly (root): x^8 - x^7 + 2*x^6 - x^5 - 2*x^4 + 6*x^3 - 19*x^2 + 14*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(-6,1) 

Field minimum poly (root): x^8 - x^7 + 3*x^5 + 5*x^2 - 2*x + 2 (2)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 1, 0, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0]~, 1, 3, [0, 0, 1, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3494(-3,2) v3495(3,2)* 

Field minimum poly (root): x^8 - x^7 + 3*x^5 - 4*x^4 + x^3 + 4*x^2 - x - 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 6, 1, [1, 0, 0, 1, 1, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 1, 0, 1, 0]~], [11, [-5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 4, 5, 4, -2, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s648(7,1) 

Field minimum poly (root): x^8 - x^7 + 3*x^6 + 3*x^5 - 2*x^4 + 5*x^3 + x^2 - 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -1, -1, -1, -1, 0, -1, -1]~], [5, [2, 1, 1, 0, -1, 0, -1, 2]~, 2, 1, [5, 2, 1, 5, 5, 3, 3, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2910(-2,3) v2911(-6,1)* 

Field minimum poly (root): x^8 - x^7 + 3*x^6 - 2*x^5 + 8*x^4 - 5*x^3 + 6*x^2 - 5*x + 1 (4)
Real ramification: []
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 1, 0, 1]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 1, 0, 0, 1, 1, 1, 1]~], [67, [-11, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, 7, 26, -6, -23, -17, 14, 19]~], [79, [32, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-31, 7, -31, -21, 10, 36, -29, 19]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s952(4,1)* 

Field minimum poly (root): x^8 - x^7 + 3*x^6 - 3*x^5 + 5*x^4 - 4*x^3 - 3*x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, 1, 1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s897(5,1)* 

Field minimum poly (root): x^8 - x^7 + 3*x^6 - 3*x^5 + 5*x^4 - 4*x^3 - 3*x^2 + 4*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, 1, 1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s899(1,3)* s900(5,1)* 

Field minimum poly (root): x^8 - x^7 + 3*x^6 - 3*x^5 + 5*x^4 - 4*x^3 - 3*x^2 + 4*x - 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2202(-5,1) v2203(5,1)* 

Field minimum poly (root): x^8 - x^7 + 3*x^6 - x^5 + 2*x^4 + 7*x^3 + 11*x^2 + 6*x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 1, 1]~, 1, 2, [2, 1, 2, 2, 1, 2, 1, 0]~], [23, [-11, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-8, -3, -5, -9, -1, -2, -3, 2]~], [29, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -8, 10, 3, 1, 3, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2123(-5,1)* 

Field minimum poly (root): x^8 - x^7 + 4*x^6 - 2*x^5 + 3*x^4 + 9*x^3 + 4*x^2 + 18*x - 4 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 1, 1, 1, 1, 1]~, 2, 1, [2, 1, 2, 1, 0, 0, 0, 0]~], [2, [1, 0, 1, 0, 0, 1, 0, 1]~, 2, 1, [2, 2, 1, 1, 0, 0, 0, 0]~], [2, [3, 0, 1, 0, 1, 1, 1, 1]~, 1, 1, [1, 1, 1, 1, 1, 1, 0, 0]~], [2, [0, 0, 1, 1, 0, 1, 1, 0]~, 3, 1, [2, 1, 1, 2, 2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(5,2) 

Field minimum poly (root): x^8 - x^7 + 4*x^6 - 2*x^5 + 6*x^4 - x^3 + 5*x^2 + x + 1 (1)
Real ramification: []
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, -1, 2, 1, -2, 1]~], [7, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -2, 0, 1, 2, -3, 0, 1]~], [13, [-6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, 1, -4, -6, -5, 5, 1]~], [13, [6, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-2, -6, 4, -3, -5, -6, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3508(-4,1)* v3509(4,1)* v3510(4,1)* v3511(-4,1)* 

Field minimum poly (root): x^8 - x^7 + 5*x^5 + 4*x^4 - 3*x^3 - x^2 + 4*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 1, 0, 1, 1]~], [17, [5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -2, 7, -2, 8, -4, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3226(1,2) 

Field minimum poly (root): x^8 - x^7 + 5*x^6 - 5*x^5 + 8*x^4 - 10*x^3 + 3*x^2 - 7*x - 2 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v1818(-5,2)* 

Field minimum poly (root): x^8 - x^7 + x^5 - 3*x^4 - 4*x^3 + x^2 + 2*x + 1 (5)
Real ramification: [1]
Finite ramification: [[11, [5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 4, 0, 0, -5, 4, 4, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3458(-2,3)* 

Field minimum poly (root): x^8 - x^7 + x^5 - x^4 + 3*x^3 - 1 (4)
Real ramification: [2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3528(1,3) v3529(5,1) 

Field minimum poly (root): x^8 - x^7 + x^6 + 2*x^5 + 4*x^4 - 9*x^3 + 11*x^2 - 4*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 1, 0]~, 3, 1, [1, 1, 1, 2, 2, 1, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 1, 0]~, 2, 1, [2, 2, 1, 1, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(4,1)* 

Field minimum poly (root): x^8 - x^7 + x^6 + 3*x^5 - 6*x^4 + 5*x^3 + x^2 - 4*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [2, 2, 1, 1, 1, 2, 1, 0]~], [59, [-11, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 4, 3, 17, 25, -29, -19, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2640(1,3) 

Field minimum poly (root): x^8 - x^7 + x^6 + 3*x^5 - 6*x^4 + 5*x^3 + x^2 - 4*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [1, 2, 1, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2643(-1,3)* 

Field minimum poly (root): x^8 - x^7 + x^6 + 7*x^5 - 9*x^4 + 6*x^3 - x^2 - 4*x + 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, 0, -2, 1, 0, 2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3517(3,2) 

Field minimum poly (root): x^8 - x^7 + x^6 - 3*x^5 + 2*x^4 - 2*x^3 + 2*x^2 + 1 (2)
Real ramification: []
Finite ramification: [[67, [57, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [20, 2, 0, 27, -31, 24, 9, 1]~], [101, [25, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -16, 29, 23, -17, 45, -26, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3392(-2,3)* 

Field minimum poly (root): x^8 - x^7 + x^6 - 3*x^5 + 4*x^4 - 2*x^3 + x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 0, 1, 1]~], [31, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 4, 12, 6, 11, 4, -7, 9]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2573(-4,1)* 

Field minimum poly (root): x^8 - x^7 + x^6 - 3*x^5 + 4*x^4 - 2*x^3 + x - 2 (4)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2209(-5,1) 

Field minimum poly (root): x^8 - x^7 + x^6 - 4*x^5 + x^4 - x^3 - 3*x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2944(-5,1) 

Field minimum poly (root): x^8 - x^7 + x^6 - x^4 - x^3 + 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[83, [41, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-20, 39, -5, -6, -32, -40, -1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s528(-5,1)* 

Field minimum poly (root): x^8 - x^7 + x^6 - x^5 - 2*x^4 - x^3 + 3*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[5, [1, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [5, 4, 2, 1, 3, 4, 4, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2674(-1,3) 

Field minimum poly (root): x^8 - x^7 + x^6 - x^5 - 2*x^4 - x^3 + 3*x - 1 (6)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2655(-1,3) 

Field minimum poly (root): x^8 - x^7 + x^6 - x^5 - 3*x^4 + 2*x^3 - 3*x^2 + 2*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[23, [-5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, 6, 11, 11, -11, -2, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2573(3,1) 

Field minimum poly (root): x^8 - x^7 + x^6 - x^5 - x^4 + 2*x^3 - x^2 + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2050(5,1) 

Field minimum poly (root): x^8 - x^7 + x^6 - x^5 - x^4 - 2*x^2 + x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, -1, -1, 0, 1, 0, 1]~], [263, [87, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-130, -65, 37, -76, 19, 30, -88, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(3,2) 

Field minimum poly (root): x^8 - x^7 - 2*x^5 + x^4 + 2*x^3 - x - 1 (5)
Real ramification: [1]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0]~, 3, 1, [-1, 0, 0, -1, -1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3516(-2,3)* 

Field minimum poly (root): x^8 - x^7 - 2*x^5 - 4*x^4 + 5*x^3 - 2*x^2 - 2*x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 0, 0, 0, 1, 1, 0, 0]~, 2, 2, [1, 1, 2, 1, 2, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s719(4,1)* 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 2*x^5 + 2*x^4 - x^3 - 2*x^2 + x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[19, [7, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 4, -9, -7, 4, -3, -8, 1]~], [79, [21, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-15, -3, -15, 27, -20, -14, -22, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2931(4,1)* 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 2*x^5 + 2*x^4 - x^3 - 2*x^2 + x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[29, [6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 9, 3, 9, -6, 11, -7, 1]~], [1301, [429, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-279, -60, -570, -29, 458, -274, -430, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2739(3,2) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 2*x^5 + 3*x^4 + 3*x^3 - 8*x^2 - 7*x - 1 (6)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 0, 0, 1, 1]~], [5, [-1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, 0, 0, 1, 0, 0, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s896(-3,1) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 2*x^5 + 3*x^4 + 3*x^3 - 8*x^2 - 7*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s908(3,2) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 2*x^5 + x^4 - 3*x^3 - x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3390(2,3)* 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 2*x^5 - 4*x^4 - x^3 + 3*x^2 - 4*x + 2 (3)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 0, 0, 1, 0]~], [109, [-25, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [13, 53, 1, 35, 19, 53, 24, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2534(-5,1) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 2*x^5 - x^4 + x^2 - x + 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s478(-4,1)* s479(4,1) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 2*x^5 - x^4 + x^2 - x + 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m389(4,1) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 3*x^5 - x^4 - 3*x^3 + x^2 + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3205(-2,1)* 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 5*x^5 - 3*x^4 - 2*x^3 + 4*x^2 - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[13, [3, -1, 1, 0, 0, 0, 0, 0]~, 1, 2, [4, -3, -1, 0, -5, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s518(-4,1) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 5*x^5 - 4*x^4 - 3*x^3 + x^2 + 4 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 1, 0]~, 2, 2, [2, 1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3077(4,1) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 7*x^5 - 3*x^4 - 10*x^3 + 2*x^2 + 5*x - 1 (5)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 0, 1]~], [11, [-3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -5, 5, -3, -2, 5, -5, -2]~], [19, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 3, 3, -3, -4, 8, -1, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3328(-2,3)* 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + 7*x^5 - 3*x^4 - 10*x^3 + 2*x^2 + 5*x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3327(-6,1) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + x^5 + 2*x^4 + 2*x^3 - x^2 - 2*x - 1 (4)
Real ramification: [1]
Finite ramification: [[25391, [-11486, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8964, -1756, -10600, -2185, 2416, 10463, 11485, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3289(1,3)* 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + x^5 + 2*x^4 + x^3 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1498(-1,4)* 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + x^5 + 2*x^4 - 3*x^3 - x^2 + 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3519(4,1)* v3520(-4,1) 

Field minimum poly (root): x^8 - x^7 - 2*x^6 + x^5 - 2*x^3 + x^2 + 2*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[37, [-6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 11, 14, 15, -16, -9, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1436(-5,1)* 

Field minimum poly (root): x^8 - x^7 - 2*x^6 - 7*x^5 + 20*x^4 - 4*x^3 - 10*x - 4 (4)
Real ramification: []
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1]~, 4, 1, [2, 2, 2, 1, 2, 1, 1, 0]~], [2, [2, 1, 0, 0, 1, 0, 1, 1]~, 1, 1, [1, 1, 2, 2, 2, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s924(5,1) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 10*x^5 - 6*x^4 - 13*x^3 + 18*x^2 + 4*x - 8 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 0, 1, 0, 0]~], [2, [3, 0, 0, 1, 0, 1, 1, 1]~, 1, 1, [2, 2, 2, 1, 2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3107(-2,3)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 10*x^5 - 6*x^4 - 13*x^3 + 18*x^2 + 4*x - 8 (5)
Real ramification: [2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 0, 1, 0, 0]~], [67, [-14, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [30, -32, 22, 25, 17, -9, -19, 16]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3109(2,3) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 2*x^5 + x^4 - 4*x^3 + 3*x - 1 (5)
Real ramification: [4]
Finite ramification: [[29, [12, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, -8, -9, -2, -7, 8, -13, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3111(-4,3)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 3*x^5 + x^4 - 2*x^3 + x^2 + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m389(3,2) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 3*x^5 + x^4 - 2*x^3 + x^2 + 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m340(-7,1) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 3*x^5 + x^4 - 2*x^3 + x^2 + 1 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s478(-3,2)* s479(3,2) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 4*x^5 + 2*x^4 - x^3 + 5*x^2 - 2*x - 1 (3)
Real ramification: [2]
Finite ramification: [[43, [11, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 1, -8, 16, 5, 11, 15, 14]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2417(5,1)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 4*x^5 - 5*x^3 + 4*x^2 - 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 1, 1, 0, 1]~], [19, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -9, 3, 4, 2, -1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3011(2,3) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 6*x^5 - 9*x^3 + 6*x^2 + 3*x - 4 (5)
Real ramification: [3]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 1, 1, 1]~], [19, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 6, 1, -5, -2, -5, 1]~], [53, [-19, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 0, 22, 10, -19, 21, 18, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s349(1,4) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 7*x^5 - 2*x^4 - 8*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [2, 3, 5]
Finite ramification: [[37, [6, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -13, 9, -9, -5, 2, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2486(-3,2) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 7*x^5 - 2*x^4 - 8*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s900(-2,3)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 7*x^5 - 2*x^4 - 8*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s897(-2,3)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 7*x^5 - 2*x^4 - 8*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [1, 3, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2462(3,2)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 7*x^5 - 2*x^4 - 8*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2202(2,3) v2203(-2,3)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 7*x^5 - 2*x^4 - 8*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [2, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3469(1,2)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 + 7*x^5 - 2*x^4 - 8*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2528(4,1)* v2889(-4,1)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 - 2*x^5 + 3*x^4 + 10*x^3 + 2*x^2 - 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(1,2) 

Field minimum poly (root): x^8 - x^7 - 3*x^6 - x^5 + 6*x^4 - 3*x^3 - 5*x^2 + x + 1 (6)
Real ramification: [1]
Finite ramification: [[17, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 2, 7, -7, -1, 4, 7, 2]~], [29, [24, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, 12, 9, -9, -3, 12, 8, 2]~], [263, [23, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-57, 119, 109, 98, -4, 46, -48, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2123(5,1)* 

Field minimum poly (root): x^8 - x^7 - 3*x^6 - x^5 + 6*x^4 - 3*x^3 - 5*x^2 + x + 1 (6)
Real ramification: [1, 3]
Finite ramification: [[17, [4, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 2, 7, -7, -1, 4, 7, 2]~], [29, [24, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, 12, 9, -9, -3, 12, 8, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s881(-1,4) 

Field minimum poly (root): x^8 - x^7 - 4*x^6 + 3*x^5 + 5*x^4 - 3*x^2 - 3*x + 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m147(-4,1) 

Field minimum poly (root): x^8 - x^7 - 4*x^6 + 3*x^5 + x^4 - x^3 + 4*x^2 - x + 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[17, [5, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 2, -3, 7, -3, -2, 5, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s673(-2,3) v1276(2,3)* 

Field minimum poly (root): x^8 - x^7 - 4*x^6 + 3*x^5 + x^4 - x^3 + 4*x^2 - x + 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 1, 1, 1, 0, 1, 0]~, 4, 1, [1, 2, 2, 1, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s916(-4,1)* 

Field minimum poly (root): x^8 - x^7 - 4*x^6 + 3*x^5 + x^4 - x^3 + 4*x^2 - x + 2 (6)
Real ramification: [1, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 1, 0, 0]~], [2, [0, 0, 1, 1, 1, 0, 1, 0]~, 4, 1, [1, 2, 2, 1, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s626(6,1)* 

Field minimum poly (root): x^8 - x^7 - 4*x^6 + 7*x^4 + 5*x^3 - 3*x^2 - 3*x - 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s682(-1,3)* 

Field minimum poly (root): x^8 - x^7 - 4*x^6 + 8*x^4 + 3*x^3 - 3*x^2 - 4*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 0, 0, -1, 1, 1, 1]~], [13, [3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 6, -3, 2, 2, -5, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s741(3,1)* 

Field minimum poly (root): x^8 - x^7 - 4*x^6 - x^5 + 10*x^4 + 5*x^3 - 33*x^2 - 24*x - 4 (6)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2960(-3,2)* 

Field minimum poly (root): x^8 - x^7 - 4*x^6 - x^5 + 10*x^4 + 5*x^3 - 9*x^2 - 4*x + 2 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s832(-2,3)* 

Field minimum poly (root): x^8 - x^7 - 5*x^6 + 3*x^5 + 7*x^4 + 4*x^3 - 6*x^2 - 7*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m207(-1,4)* 

Field minimum poly (root): x^8 - x^7 - 6*x^6 + 8*x^5 + 11*x^4 - 20*x^3 - 2*x^2 + 14*x - 4 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1]~, 3, 1, [2, 2, 1, 2, 2, 1, 1, 0]~], [2, [2, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 1, 2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2209(5,1)* 

Field minimum poly (root): x^8 - x^7 - x^5 + 2*x^4 - 5*x^3 + 2*x^2 + 2*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s580(-4,1) 

Field minimum poly (root): x^8 - x^7 - x^5 - 8*x^4 - 2*x^3 - 4*x^2 - 2*x + 1 (6)
Real ramification: [2, 4]
Finite ramification: [[67, [11, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, -5, -3, 30, 26, 14, 8, -23]~], [101, [25, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, 11, -33, 46, 15, -41, -6, 44]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s505(-4,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 + 2*x^5 + x^4 - 2*x^3 + 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 1, 1, 0, 0, 0]~, 1, 4, [1, 1, 0, 0, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0]~, 1, 4, [1, 1, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m168(4,3) 

Field minimum poly (root): x^8 - x^7 - x^6 + 2*x^5 - 3*x^4 + x^2 + x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s784(1,3) 

Field minimum poly (root): x^8 - x^7 - x^6 + 2*x^5 - 4*x^4 + 3*x^3 - 11*x^2 + 8*x - 1 (6)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1, 1, 0]~, 3, 1, [1, 1, 1, 2, 2, 1, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 1, 1, 1, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3244(2,3)* v3246(2,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 + 2*x^5 - x^4 + 2*x^3 - x^2 - 2*x + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3086(1,2)* 

Field minimum poly (root): x^8 - x^7 - x^6 + 3*x^5 - 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1189(5,1)* 

Field minimum poly (root): x^8 - x^7 - x^6 + 3*x^5 - 3*x^4 + 3*x^3 - x^2 - x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 0, 0, 1, 0]~], [7, [1, -3, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, -3, -1, -3, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m034(-4,1) 

Field minimum poly (root): x^8 - x^7 - x^6 + 4*x^4 + 2*x^3 - 3*x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 1, 1, 0, 0]~], [109, [-35, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -50, -20, -38, -23, -10, -41, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s942(-6,1) 

Field minimum poly (root): x^8 - x^7 - x^6 + 4*x^4 + 2*x^3 - 3*x^2 - x + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 1, 1, 0, 0]~], [43, [-9, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, 6, -18, -7, -6, -15, 16, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2585(2,3) 

Field minimum poly (root): x^8 - x^7 - x^6 + 4*x^4 + 2*x^3 - 4*x^2 - x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m038(5,1)* 

Field minimum poly (root): x^8 - x^7 - x^6 + 4*x^5 - 5*x^4 + 3*x^3 - 2*x^2 - x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2966(1,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 + 4*x^5 - 5*x^4 - 3*x^3 + 8*x^2 - 3*x - 1 (5)
Real ramification: [2]
Finite ramification: [[7, [-3, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 1, 3, 0, 3, -1, -2, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1963(-4,1) 

Field minimum poly (root): x^8 - x^7 - x^6 + 8*x^5 - 4*x^4 - 5*x^3 + 13*x^2 - 2*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 1, 0]~, 3, 1, [1, 1, 1, 2, 2, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s698(1,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 + 8*x^5 - 4*x^4 - 5*x^3 + 13*x^2 - 2*x - 1 (6)
Real ramification: [1, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s699(1,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 + x^4 + 2*x^3 - 3*x^2 - 2*x + 4 (2)
Real ramification: []
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, -1, 1, -1, 1, 1]~], [37, [9, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [15, -18, 2, 4, 9, 10, -1, -15]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2274(5,1) 

Field minimum poly (root): x^8 - x^7 - x^6 + x^4 + 2*x^3 - 3*x^2 - 2*x + 4 (2)
Real ramification: []
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, -1, 1, -1, 1, 1]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -3, 0, -2, 3, 3, 1]~], [79, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -1, 31, 30, -14, 0, 6, 22]~], [109, [-41, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-38, -21, -51, -24, 51, -1, 49, 22]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2274(-5,1)* 

Field minimum poly (root): x^8 - x^7 - x^6 + x^4 + x^3 - 2*x^2 + x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 0, 1, 0]~], [11, [4, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [-3, 1, 2, -3, 1, -3, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s832(-4,1)* 

Field minimum poly (root): x^8 - x^7 - x^6 + x^5 - 3*x^4 + 3*x^3 + 1 (5)
Real ramification: []
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 1, 2, 0, 1, -2, 1]~], [263, [-103, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [120, 65, 90, 80, 34, -15, 102, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2158(4,1) 

Field minimum poly (root): x^8 - x^7 - x^6 + x^5 - 3*x^4 + 3*x^3 + 1 (5)
Real ramification: [3]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 1, 2, 0, 1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s881(2,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 + x^5 - x^4 - 2*x^3 + x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[211, [-17, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [-62, -41, 72, 54, -34, 60, 16, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m011(-2,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 + x^5 - x^4 - 2*x^3 + x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[41, [-14, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 3, 6, -17, -7, 17, 13, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m017(1,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 + x^5 - x^4 - 2*x^3 + x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[41, [2, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [20, -9, 5, 17, -9, 5, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s535(1,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 - 2*x^5 + 9*x^4 - 5*x^3 - 7*x^2 + 2*x + 2 (5)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s746(-1,3)* 

Field minimum poly (root): x^8 - x^7 - x^6 - 4*x^4 - x^3 - 3*x + 1 (3)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3062(-1,3)* 

Field minimum poly (root): x^9 + 2*x^7 - 2*x^5 - 3*x^4 + 4*x^3 + 4*x^2 - x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 1, 2, 2, 2, 2, 2, 1, 0]~], [2, [0, 1, 0, 1, 1, 0, 0, 1, 1]~, 2, 1, [2, 1, 1, 2, 2, 1, 1, 1, 0]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 0, 0, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3463(-3,2)* 

Field minimum poly (root): x^9 + 2*x^7 - 2*x^6 + 3*x^5 - 5*x^4 + 2*x^3 + 2*x^2 - 3*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, -16, -6, 11, 1, -9, 0, -4, 15]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m322(-1,4)* 

Field minimum poly (root): x^9 + 2*x^7 - 2*x^6 + 8*x^5 + 4*x^4 + 11*x^3 + 4*x^2 - 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3066(-3,2)* 

Field minimum poly (root): x^9 + 2*x^7 - 3*x^6 - 2*x^5 - 4*x^3 + 3*x + 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 0, 1, 1, 1]~], [17, [5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 6, -8, -6, 8, -2, -7, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3320(-1,2) 

Field minimum poly (root): x^9 + 2*x^7 - 5*x^6 + 6*x^5 + 8*x^4 - 7*x^2 - 5*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[17, [9, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -2, -7, -7, -2, 6, -8, 6, -7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s581(-5,1)* 

Field minimum poly (root): x^9 + 2*x^7 - 7*x^6 + 10*x^5 - 8*x^4 - 3*x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 1, -1, 0, -1, 1, 0, 1, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m373(-5,1)* 

Field minimum poly (root): x^9 + 2*x^7 - x^5 - x^4 - 3*x^2 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3494(3,2)* v3495(-3,2) 

Field minimum poly (root): x^9 + 3*x^7 - x^6 + 2*x^5 - 2*x^4 - x^3 - x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[53, [21, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -20, 11, 7, -8, 3, 20, -21, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1721(4,1) 

Field minimum poly (root): x^9 + 3*x^7 - x^6 + 3*x^5 - 2*x^4 - 2*x^2 - x + 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 0, 0, 1, 0, 1, 1]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, 0, 0, -2, 0, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1727(-1,4)* 

Field minimum poly (root): x^9 + 3*x^7 - x^6 + x^5 - 6*x^4 - 4*x^3 - 3*x^2 + x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[317, [-108, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-100, -116, -157, -152, 124, -36, -60, 121, 29]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3375(-5,1)* 

Field minimum poly (root): x^9 + 5*x^7 - 3*x^6 + 5*x^5 - 11*x^4 - 5*x^3 + 2*x^2 - 4*x + 5 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 2, 1, -1, -2, -1, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s949(-3,2) 

Field minimum poly (root): x^9 + 5*x^7 - x^6 + 7*x^5 - 4*x^4 - 4*x^2 - 4*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 1, 0, 1, 1, 1, 1, 1, 0]~], [13, [19, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 4, 3, 6, -6, 0, 2, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1171(-4,1) 

Field minimum poly (root): x^9 + 5*x^7 - x^6 + 8*x^5 - 4*x^4 + 2*x^3 - 4*x^2 - 4*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 0, 1, 0, 1, 0, 0, 1]~, 3, 1, [1, 2, 1, 2, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s781(3,2) s786(-5,2)* 

Field minimum poly (root): x^9 + 6*x^7 - x^6 + 12*x^5 - 5*x^4 + 6*x^3 - 7*x^2 - 5*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 1, 1, 1, 1]~, 1, 1, [1, 1, 2, 1, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s773(-4,3)* s781(1,3) s786(-4,3)* 

Field minimum poly (root): x^9 + x^7 - 2*x^6 - 2*x^5 + 2*x^4 - 2*x^3 + 2*x^2 - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, -1, 1, -1, 1, 1, -1]~], [1429, [-704, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [134, -85, 140, -151, -664, -277, -250, 709, 11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s911(3,2)* s912(8,1)* 

Field minimum poly (root): x^9 + x^7 - 5*x^6 - 5*x^5 - 12*x^4 - 6*x^3 - 6*x^2 + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3103(5,1) 

Field minimum poly (root): x^9 - 2*x^6 + 2*x^5 - 8*x^4 + 5*x^3 - 2*x^2 + 4*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[37, [-10, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [18, 16, -11, -16, -5, 14, -16, 6, 17]~], [37, [-14, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -6, -11, -12, -13, -18, 6, 10, 17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0785(-5,1) 

Field minimum poly (root): x^9 - 2*x^6 + 2*x^5 - 8*x^4 + 5*x^3 - 2*x^2 + 4*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 3, 0, 0, 0, 2, -2, 3, 1]~], [373, [-127, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [76, 155, 53, -7, -56, -46, -177, 160, -134]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m368(-1,3) m370(1,3)* 

Field minimum poly (root): x^9 - 2*x^6 + 5*x^5 - 2*x^4 - 4*x^3 - 3*x^2 + 3*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0]~, 1, 6, [1, 0, 1, 1, 0, 0, 0, 0, 0]~], [11, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 5, 2, 0, 5, 4, 3, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m149(-5,1) 

Field minimum poly (root): x^9 - 2*x^6 + 5*x^5 - 2*x^4 - 4*x^3 - 3*x^2 + 3*x + 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m146(-5,1) 

Field minimum poly (root): x^9 - 2*x^6 - 2*x^4 - 3*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [1, 0, 1, 0, 1, 1, 1, 0, 0]~, 1, 6, [1, 0, 1, 1, 0, 0, 0, 0, 0]~], [13, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -5, 6, -3, -5, 6, -6, 0, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2932(3,1)* 

Field minimum poly (root): x^9 - 2*x^7 - 2*x^6 + 2*x^5 + 2*x^4 + x^3 - 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[233, [94, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [57, 101, -68, 28, 84, 14, -20, -94, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s813(2,3) 

Field minimum poly (root): x^9 - 2*x^7 - 2*x^6 + 2*x^5 + 3*x^4 + x^3 - x^2 - 2*x - 1 (4)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 1, 1, 1, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2765(3,4)* v3457(-3,1) 

Field minimum poly (root): x^9 - 2*x^7 - 2*x^6 + 3*x^5 + 4*x^4 - 2*x^3 - 3*x^2 + x + 1 (4)
Real ramification: [1]
Finite ramification: [[61, [-8, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-23, -3, 0, -15, -10, 6, 1, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2857(-1,3)* 

Field minimum poly (root): x^9 - 2*x^7 - 2*x^6 + 3*x^5 + 4*x^4 - 2*x^3 - 3*x^2 + x + 1 (4)
Real ramification: [1]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 2, 1, 2, 1, 1, 2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s932(1,4) s933(-3,4)* 

Field minimum poly (root): x^9 - 2*x^7 - 2*x^6 + x^5 + 4*x^4 - 3*x^3 - 3*x^2 + 2*x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[43, [7, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -4, -11, -10, -3, 12, 2, -5, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m220(-1,3) 

Field minimum poly (root): x^9 - 2*x^7 - 2*x^6 + x^5 + 4*x^4 - 3*x^3 - 3*x^2 + 2*x + 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m221(1,3)* 

Field minimum poly (root): x^9 - 2*x^7 - 2*x^6 - 4*x^5 + 5*x^3 + 6*x^2 + 4*x + 1 (6)
Real ramification: [1, 4, 5]
Finite ramification: [[13, [-5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -6, 2, -2, 3, -4, -2, 4, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m400(-4,1)* 

Field minimum poly (root): x^9 - 2*x^7 - 4*x^6 + x^5 + 7*x^4 + 2*x^3 - 4*x^2 - x + 1 (4)
Real ramification: [1, 3]
Finite ramification: [[13, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -3, -6, -4, 1, 0, 2, 2, 1]~], [593, [143, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [141, 140, -142, 142, -59, 158, 285, -143, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m378(-4,1) 

Field minimum poly (root): x^9 - 2*x^7 - 5*x^6 + 12*x^5 + 8*x^4 + 15*x^3 + 4*x^2 + 2*x - 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3066(-2,3)* v3066(6,1)* 

Field minimum poly (root): x^9 - 2*x^7 - 5*x^6 + 12*x^5 + 8*x^4 + 15*x^3 + 4*x^2 + 2*x - 1 (5)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3066(-6,1)* v3066(2,3)* 

Field minimum poly (root): x^9 - 2*x^7 - 5*x^6 - 2*x^5 + 6*x^4 + 7*x^2 - 13*x + 4 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(4,1) 

Field minimum poly (root): x^9 - 2*x^7 - 5*x^6 - x^5 + 5*x^4 - 4*x^3 + 4*x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3505(4,1)* 

Field minimum poly (root): x^9 - 2*x^7 - x^6 + 2*x^5 + 4*x^4 - 3*x^3 - 4*x^2 + x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[181, [-19, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, 20, 87, -81, -14, -58, -3, 19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m117(-4,3) 

Field minimum poly (root): x^9 - 2*x^7 - x^6 + 2*x^5 + 4*x^4 - 3*x^3 - 4*x^2 + x + 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m154(-2,3)* 

Field minimum poly (root): x^9 - 2*x^7 - x^6 + x^4 + 4*x^3 - 3*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[31, [-15, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, 4, 0, 2, -4, 6, 15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s657(1,4) 

Field minimum poly (root): x^9 - 2*x^8 + 2*x^7 + 3*x^6 - 6*x^5 + 4*x^4 + 4*x^3 - 5*x^2 - x + 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m120(-3,2) 

Field minimum poly (root): x^9 - 2*x^8 + 2*x^7 + x^6 - 7*x^4 + 11*x^3 - 5*x^2 - 6*x + 4 (5)
Real ramification: [3]
Finite ramification: [[2, [2, 0, 0, 0, 1, 1, 0, 0, 0]~, 1, 2, [1, 2, 2, 2, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3508(2,3)* v3511(2,3)* 

Field minimum poly (root): x^9 - 2*x^8 + 2*x^7 + x^6 - x^5 - x^4 - 4*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 1, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s758(4,3) 

Field minimum poly (root): x^9 - 2*x^8 + 2*x^7 - 2*x^5 + 4*x^4 - 2*x^3 + x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[14797, [-614, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3639, 2645, -7105, -2542, 1972, -6841, 5845, 612, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3529(3,2) 

Field minimum poly (root): x^9 - 2*x^8 + 2*x^7 - 2*x^6 + 2*x^5 - x^4 - x^2 - x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[347, [-100, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-60, 47, 114, -154, -64, -76, 87, 98, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m034(-5,1) 

Field minimum poly (root): x^9 - 2*x^8 + 2*x^7 - x^6 + x^5 - 6*x^4 + 4*x^3 - x^2 + 2*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, -1, -1, 1, 0, -1, 0, 1]~], [1871, [-923, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [898, 78, -156, 387, -705, 281, 651, 921, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s400(-5,1)* 

Field minimum poly (root): x^9 - 2*x^8 + 3*x^6 - 4*x^5 - 4*x^4 + 22*x^2 - 11*x - 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1, 0, 0, 1, 1]~], [7, [10, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, -1, -3, 1, 3, 0, 2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3491(4,1)* v3493(4,1)* 

Field minimum poly (root): x^9 - 2*x^8 + 3*x^7 - 2*x^6 + 4*x^5 - 5*x^4 + 4*x^2 - x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s566(4,1)* 

Field minimum poly (root): x^9 - 2*x^8 + 3*x^7 - 2*x^6 - 5*x^4 - 2*x^3 - 9*x^2 - 9*x - 4 (3)
Real ramification: [1]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1, 0, 1, 0, 1]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 1, 1, 1, 0, 0, 1, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, -1, 0, -1, 1, 0, -1, 0, 0]~], [3, [0, 0, 0, 1, 1, 0, -1, 1, 0]~, 2, 2, [3, 2, 1, 1, 3, 1, 3, 1, 0]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -2, -2, -2, 1, 1, -2, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2557(1,3)* 

Field minimum poly (root): x^9 - 2*x^8 + 3*x^7 - 4*x^6 + 17*x^4 - 8*x^3 - 6*x^2 + 8*x + 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 0, 0, 1, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 1, 1, 1, 0]~], [5, [-1, 1, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, -2, -1, 2, 2, 0, 2, -2, 1]~], [191, [-56, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-38, -54, 83, -1, 91, 71, 13, 45, -46]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3412(-7,1)* 

Field minimum poly (root): x^9 - 2*x^8 + 3*x^7 - 7*x^6 + 7*x^5 - 10*x^4 + 14*x^3 - 8*x^2 - x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 1, 0, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s377(3,4) 

Field minimum poly (root): x^9 - 2*x^8 + 3*x^7 - x^6 + x^5 + x^4 + 2*x^3 + 2*x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s801(-7,1)* s802(5,3)* 

Field minimum poly (root): x^9 - 2*x^8 + 3*x^7 - x^6 - 3*x^5 + 4*x^4 - x^3 + x^2 - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 0, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3398(4,1) 

Field minimum poly (root): x^9 - 2*x^8 + 4*x^7 - 11*x^6 + 9*x^5 - 2*x^4 + x^3 + 6*x^2 - 3*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 0, 0, 0, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3008(-5,1) 

Field minimum poly (root): x^9 - 2*x^8 + 5*x^6 - 2*x^5 - x^4 - 2*x^3 - 3*x^2 - x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 1, 1, 0, 0, 0, 1, 0]~, 3, 2, [1, 1, 1, 2, 2, 1, 0, 0, 0]~], [3, [1, -1, -1, 1, -1, 1, 1, 1, 0]~, 2, 2, [2, 2, 1, 1, 3, 2, 3, 2, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3411(-3,2)* v3412(7,1) 

Field minimum poly (root): x^9 - 2*x^8 + 5*x^6 - 3*x^5 - 2*x^4 + x^3 - 2*x^2 + x + 2 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 0, 1, 1, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 0, 0, 1, 1, 0]~], [7, [2, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [4, 6, 7, 1, 4, 2, 2, 1, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2878(-4,1)* 

Field minimum poly (root): x^9 - 2*x^8 + 5*x^7 - 14*x^6 + 18*x^5 - 20*x^4 + 25*x^3 - 24*x^2 + 20*x - 8 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [-9, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -8, 9, -6, 8, -1, 1, -5, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3504(-4,1) 

Field minimum poly (root): x^9 - 2*x^8 + x^6 - x^4 - x^3 + 3*x^2 + x - 1 (6)
Real ramification: [2, 4, 5]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -1, 2, 2, 2, -1, 1, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m078(1,3)* 

Field minimum poly (root): x^9 - 2*x^8 + x^7 + 2*x^6 - 7*x^5 + 9*x^4 - 7*x^3 - 5*x^2 + 11*x - 4 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[17, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 4, 0, -7, -3, -4, -7, -6, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s348(-4,3) 

Field minimum poly (root): x^9 - 2*x^8 + x^7 + 2*x^6 - x^5 - x^4 + 3*x^2 + 4*x + 1 (4)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 0, 1, 0, 0]~], [2, [0, 1, 0, 1, 1, 1, 1, 0, 1]~, 1, 2, [1, 1, 1, 1, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3198(4,1) 

Field minimum poly (root): x^9 - 2*x^8 + x^7 + 5*x^6 - 14*x^5 + 3*x^4 + 9*x^3 - 6*x^2 - 6*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 1, 0, 1, 1, 1]~], [2, [1, 0, 1, 1, 0, 0, 0, 0, 0]~, 2, 3, [1, 0, 1, 0, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s943(4,1) 

Field minimum poly (root): x^9 - 2*x^8 + x^7 + x^4 - 5*x^3 + 4*x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[379, [30, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [172, -162, 26, 100, -11, -25, -143, -96, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m403(-3,2)* 

Field minimum poly (root): x^9 - 2*x^8 + x^7 - 2*x^6 + 8*x^4 - x^3 + x^2 + 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2556(-5,1)* 

Field minimum poly (root): x^9 - 2*x^8 + x^7 - x^6 + x^5 - 2*x^4 + x^3 + 2*x^2 + x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[617, [142, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [130, -294, -24, -69, 80, -158, 87, -144, 9]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m189(-5,3) 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^6 + 4*x^5 + 9*x^4 - 22*x^3 + 15*x^2 + 3*x - 2 (4)
Real ramification: [3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 1, 1, 1, 0]~], [2, [0, 1, 1, 0, 0, 1, 1, 1, 1]~, 2, 1, [1, 2, 1, 2, 2, 1, 1, 1, 1]~], [11, [4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 2, 3, -3, 2, -3, 2, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3221(-5,2) v3228(5,2)* 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^7 + 6*x^6 + 4*x^5 - 8*x^4 - 8*x^3 + 12*x^2 + 4*x - 8 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-1, 2, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, 2, 0, -2, 1, -1, 2, -1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m188(5,1) 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^7 + 6*x^6 - 2*x^5 - 4*x^4 + 3*x^3 + x^2 + x - 1 (7)
Real ramification: [2, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0, 1, 1, 0]~], [6599, [-2551, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-432, 2284, -3005, -547, -2988, 3147, 2482, 2549, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2604(4,3) 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^7 + 6*x^6 - 2*x^5 - 4*x^4 + 3*x^3 + x^2 + x - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3261(3,2) 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^7 + 6*x^6 - 8*x^4 + 4*x^3 + 3*x^2 - 2*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 0, 1, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 1, -1, 0, -1, 0, 1, 1, 0]~], [509, [156, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [62, 104, -154, 125, -102, 216, 214, -158, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2920(-4,1)* 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^7 + 6*x^6 - 8*x^4 + 4*x^3 + 3*x^2 - 2*x + 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2919(-4,1)* 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^7 + 9*x^6 - 4*x^5 - 8*x^4 + 8*x^3 + 2*x^2 - 4*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 1, 0, 1, 0, 0]~, 1, 6, [1, 1, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s801(-5,1)* 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^7 + 9*x^6 - 4*x^5 - 9*x^4 + 10*x^3 - 3*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, -1, 1, 0, 0, -1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m207(1,4) 

Field minimum poly (root): x^9 - 2*x^8 - 2*x^7 - 2*x^6 + 6*x^5 + 6*x^4 + 3*x^3 - 3*x^2 - 4*x - 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 0, 1, 1, 1, 1, 1, 1]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 0, 0, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2715(4,1) 

Field minimum poly (root): x^9 - 2*x^8 - 3*x^7 + 11*x^6 - 26*x^4 - 8*x^3 + 28*x^2 + 28*x + 8 (6)
Real ramification: [2, 4, 5]
Finite ramification: [[2, [2, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 1, 1, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3304(-5,1)* v3305(-1,3)* 

Field minimum poly (root): x^9 - 2*x^8 - 3*x^7 + 13*x^6 - 11*x^5 - 7*x^4 + 10*x^3 + x^2 - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m372(-4,1)* 

Field minimum poly (root): x^9 - 2*x^8 - 3*x^7 + 2*x^6 + 4*x^5 + 3*x^4 + 6*x^3 + x^2 - x + 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 0, 1, 1, 1, 0, 0]~, 1, 6, [0, 1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s912(6,1)* 

Field minimum poly (root): x^9 - 2*x^8 - 3*x^7 + 7*x^6 + 3*x^5 - 8*x^4 - 2*x^3 + 4*x^2 - x - 1 (4)
Real ramification: [3]
Finite ramification: [[5, [-2, 2, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, 1, -2, 2, 0, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3111(4,1)* 

Field minimum poly (root): x^9 - 2*x^8 - 3*x^7 + 9*x^6 - x^5 - 9*x^4 + 7*x^2 - 1 (7)
Real ramification: [3, 5]
Finite ramification: [[7, [-2, 3, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [-3, -1, -3, 2, -1, 0, 2, 1, 0]~], [13, [-5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -1, 1, -5, 6, 4, -1, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2725(-4,3)* 

Field minimum poly (root): x^9 - 2*x^8 - 4*x^7 + 4*x^6 + 9*x^5 - x^4 - 8*x^3 - x^2 + 4*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 0, 1, 1, -1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m207(-2,3) 

Field minimum poly (root): x^9 - 2*x^8 - 4*x^7 + 6*x^6 + 3*x^5 - 4*x^4 + 2*x^3 + 2*x^2 - x - 2 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 1, 1, 1, 0]~, 4, 2, [1, 2, 1, 2, 2, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3297(-3,2) 

Field minimum poly (root): x^9 - 2*x^8 - 4*x^7 + 8*x^6 + 5*x^5 - 7*x^4 - 6*x^3 + x^2 + 4*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[11, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 1, 0, 3, 5, 0, -4, 0, 1]~], [79, [13, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 12, -13, 37, 27, -26, 33, -15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2944(3,2)* 

Field minimum poly (root): x^9 - 2*x^8 - 4*x^7 + 8*x^6 + 6*x^5 - 7*x^4 - 8*x^3 + x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, 3, 1, 4, 5, 0, -5, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m234(2,3) 

Field minimum poly (root): x^9 - 2*x^8 - x^7 + 3*x^6 - 5*x^4 + 4*x^3 + 3*x^2 - 3*x + 1 (6)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 1, 1, 1, 1, 0]~], [13, [-5, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [6, 8, 1, 13, 5, 2, 3, 10, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m081(-2,3)* 

Field minimum poly (root): x^9 - 2*x^8 - x^7 + 4*x^6 - 3*x^5 + 2*x^3 - x^2 + 2*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s571(-4,3) 

Field minimum poly (root): x^9 - 2*x^8 - x^7 + 4*x^6 - 3*x^5 + 2*x^3 - x^2 + 2*x - 1 (7)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m011(4,3)* 

Field minimum poly (root): x^9 - 2*x^8 - x^7 + 5*x^6 - 3*x^5 - 5*x^4 + 6*x^3 - 3*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2780(4,1)* 

Field minimum poly (root): x^9 - 2*x^8 - x^7 + 5*x^6 - 5*x^5 - 3*x^4 + 6*x^3 - 3*x^2 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[137, [-35, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-47, -60, 61, -18, -20, -20, 58, 33, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s599(-3,1) 

Field minimum poly (root): x^9 - 2*x^8 - x^7 + 8*x^6 - 11*x^5 + x^4 + 4*x^3 + 2*x - 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -4, -5, 3, 4, -4, -3, -5, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2577(-4,1)* 

Field minimum poly (root): x^9 - 2*x^8 - x^7 + 8*x^6 - 11*x^5 + x^4 + 4*x^3 + 2*x - 1 (7)
Real ramification: [2, 4, 5]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -4, -5, 3, 4, -4, -3, -5, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2238(2,3)* 

Field minimum poly (root): x^9 - 2*x^8 - x^7 - x^6 + 4*x^5 - 4*x^4 - 4*x^2 + 2*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 2, 1, 1, 1, 2, 2, 1]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 2, 1, 2, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3062(3,1)* 

Field minimum poly (root): x^9 - 3*x^6 - 2*x^5 - 11*x^4 - 25*x^3 - 29*x^2 - 16*x - 4 (4)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 0, 0, 1, 0, 0, 1]~, 1, 2, [2, 2, 2, 1, 2, 1, 1, 0, 0]~], [17, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 4, 1, 8, 4, -5, -1, 8, 8]~], [29, [-9, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-14, -3, 0, -3, 3, 5, 5, 7, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2123(-2,3)* 

Field minimum poly (root): x^9 - 3*x^6 - 2*x^5 - x^4 + 2*x^3 + 3*x^2 + 2*x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 1, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2568(3,2) 

Field minimum poly (root): x^9 - 3*x^7 + 4*x^5 - x^4 - x^3 + 3*x^2 - x - 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m168(-1,3)* 

Field minimum poly (root): x^9 - 3*x^7 - 2*x^6 + 4*x^5 + 3*x^4 - 4*x^3 - 3*x^2 + 4*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 2, -1, -1, 0, -2, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m160(-2,3) 

Field minimum poly (root): x^9 - 3*x^7 - x^6 + 5*x^5 + 4*x^4 - 6*x^3 - 4*x^2 + 2*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 1, 0, 1, 1, 1, 1, 1, 0]~], [911, [-254, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-269, -19, -391, 289, 141, 144, -168, 254, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2983(-1,3)* 

Field minimum poly (root): x^9 - 3*x^7 - x^6 + 5*x^5 - 3*x^4 - 3*x^3 + 4*x^2 - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [-3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -7, 8, 0, 7, 1, 5, 5, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3318(-3,2) v3318(2,3) 

Field minimum poly (root): x^9 - 3*x^7 - x^6 + 7*x^5 + 3*x^4 - 10*x^3 - 2*x^2 + 5*x - 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3536(4,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 10*x^6 - 11*x^5 - 6*x^4 + 12*x^3 - x^2 - 2*x + 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 1, 0, 0, 1, 0, 0]~], [5, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, 1, -2, -2, -1, -1, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1148(-4,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 2*x^7 + 6*x^6 - 12*x^5 + 7*x^4 + 4*x^3 - 7*x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 0, 1, 0, 0, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m207(2,3) 

Field minimum poly (root): x^9 - 3*x^8 + 2*x^7 + x^6 - 3*x^5 - 4*x^4 - 4*x^3 + 5*x^2 + 5*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [1, 2, 2, 1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2640(-3,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 2*x^7 + x^6 - 3*x^5 - 4*x^4 - 4*x^3 + 5*x^2 + 5*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [2, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [1, 1, 1, 1, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2643(3,1) 

Field minimum poly (root): x^9 - 3*x^8 + 2*x^7 + x^6 - 7*x^5 + 17*x^4 - 17*x^3 + 13*x^2 - 9*x + 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, -1, 0, 1, -1, 1, -1, 1, 0]~], [17, [-7, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 3, 1, 5, 8, 7, -4, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s644(-1,3)* 

Field minimum poly (root): x^9 - 3*x^8 + 2*x^7 - x^6 + 3*x^5 - 3*x^4 + 5*x^3 - 5*x^2 + 4*x - 4 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 1, 1, 0, 1, 1, 1, 1]~, 2, 1, [1, 2, 1, 1, 2, 1, 2, 1, 1]~], [17, [-8, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 6, -8, 6, -4, -6, 8, 4, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2873(-5,1)* v2874(-5,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 3*x^7 + 2*x^6 - 5*x^5 + 2*x^4 - 12*x^3 - 3*x^2 - 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3007(-2,3) v3008(-7,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 3*x^7 + 2*x^6 - 8*x^5 + 7*x^4 + 2*x^3 - 7*x^2 + 4*x + 4 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m294(-1,3)* 

Field minimum poly (root): x^9 - 3*x^8 + 3*x^7 + x^6 - 5*x^5 + 5*x^4 - 3*x^3 + 3*x^2 - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[103, [13, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, -43, 25, -29, 8, 39, 7, -21, 15]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(-1,2)* 

Field minimum poly (root): x^9 - 3*x^8 + 3*x^7 - 2*x^6 + 2*x^4 + x^2 + x - 4 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 0, 1, 1, 1]~], [53, [-19, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -25, 7, -8, 19, 1, -11, 16, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m310(6,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 3*x^7 - 2*x^6 + 4*x^4 - 10*x^3 + 8*x^2 - 4*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 1, 1, 1, 1]~], [3, [1, -1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 3, 2, 3, 3, 3, 2, 2, 0]~], [29, [-10, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, 2, -10, 1, 4, -9, 5, 2, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3118(-2,3)* 

Field minimum poly (root): x^9 - 3*x^8 + 3*x^7 - 3*x^6 - 4*x^5 + 13*x^4 - 2*x^3 + 2*x^2 - 3*x - 1 (6)
Real ramification: [1, 3, 5]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, -1, 0, -1, 1, 0, 0, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3377(1,4)* v3378(1,4)* 

Field minimum poly (root): x^9 - 3*x^8 + 3*x^7 - 6*x^6 + 8*x^5 + 5*x^4 - 4*x^3 + 2*x^2 - 11*x - 2 (6)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 0, 1, 1]~], [3, [-1, -1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, 0, 1, 0, -1, 1, 1, 0]~], [17, [-4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 6, -4, -2, -7, -7, -1, 0, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2470(4,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 4*x^6 + 10*x^4 - 16*x^3 - 16*x^2 + 15*x + 9 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 1, 1, 1, 0, 1, 1, 0]~, 4, 1, [2, 2, 2, 2, 2, 1, 2, 2, 1]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 1]~, 5, 1, [1, 2, 2, 2, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3400(3,2) 

Field minimum poly (root): x^9 - 3*x^8 + 4*x^7 + 4*x^6 - 11*x^5 + 15*x^4 + 7*x^3 - 11*x^2 + 20*x + 32 (5)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 1, 0, 1, 1, 0, 1]~, 1, 1, [1, 1, 1, 2, 2, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3425(3,2) 

Field minimum poly (root): x^9 - 3*x^8 + 4*x^7 - 2*x^6 - 4*x^5 + 9*x^4 - 7*x^3 + 2*x^2 + 3*x - 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [4, 3, 3, 5, 5, 3, 2, 2, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3122(-1,3) 

Field minimum poly (root): x^9 - 3*x^8 + 4*x^7 - 3*x^6 + 3*x^5 - x^4 - x^3 - 2*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -1, -5, -1, -5, 3, 5, 3, 2]~], [73, [11, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [22, -15, 28, -29, 16, -1, 24, -28, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3387(-1,4)* 

Field minimum poly (root): x^9 - 3*x^8 + 4*x^7 - 3*x^6 - x^5 + 4*x^4 - 4*x^3 + 2*x^2 - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[103, [35, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [50, 28, -39, 1, -47, -34, -5, -38, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2556(-3,2) 

Field minimum poly (root): x^9 - 3*x^8 + 4*x^7 - 4*x^6 + x^5 + 8*x^4 - 13*x^3 + x^2 + 8*x - 2 (7)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2919(7,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 4*x^7 - 4*x^6 + x^5 + 8*x^4 - 13*x^3 + x^2 + 8*x - 2 (7)
Real ramification: [2, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2920(7,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 4*x^7 - x^6 - 4*x^5 + 5*x^4 - 8*x^3 + 6*x^2 - 2*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[83, [30, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, -25, 31, -12, 36, 7, -3, 1, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s836(-6,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 5*x^7 - 3*x^6 - 2*x^5 + 7*x^4 - 5*x^3 + x^2 + 4*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 0, 0, 1, 0, 1]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s758(-2,3) 

Field minimum poly (root): x^9 - 3*x^8 + 5*x^7 - 4*x^6 + 5*x^4 - 6*x^3 + 4*x^2 - 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[991, [-115, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-293, -37, -121, -1, 224, 226, 2, 112, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3411(1,4)* 

Field minimum poly (root): x^9 - 3*x^8 + 5*x^7 - 4*x^6 + x^5 - 8*x^4 + 8*x^3 + 2*x^2 - 4*x + 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2919(3,2)* v2920(3,2)* 

Field minimum poly (root): x^9 - 3*x^8 + 5*x^7 - 5*x^6 + 3*x^5 + x^4 - x^3 + 2*x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m294(5,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 5*x^7 - 6*x^6 + 9*x^5 - 10*x^4 + 8*x^3 - 6*x^2 + x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s923(5,1) 

Field minimum poly (root): x^9 - 3*x^8 + 6*x^6 - 3*x^5 - 5*x^4 + 6*x^3 + x^2 - 3*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[41, [-3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-14, 10, 3, -1, 15, 6, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3520(-3,2)* 

Field minimum poly (root): x^9 - 3*x^8 + 6*x^6 - 3*x^5 - 5*x^4 + 6*x^3 + x^2 - 3*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[7, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 2, -1, 1, 1, -3, 1, 1]~], [127, [-30, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [55, -15, -9, 63, -57, 49, 48, 27, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3519(3,2) 

Field minimum poly (root): x^9 - 3*x^8 + 6*x^7 + 2*x^6 - 5*x^5 + 6*x^4 + 12*x^3 - 2*x^2 - 2*x + 1 (2)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 2, 2, 1, 1, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2526(3,2) 

Field minimum poly (root): x^9 - 3*x^8 + 6*x^7 - 9*x^6 + 12*x^5 - 12*x^4 + 9*x^3 - 5*x^2 + 3*x - 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2556(3,1)* 

Field minimum poly (root): x^9 - 3*x^8 + 8*x^6 - 5*x^5 - 9*x^4 + 9*x^3 + 4*x^2 - 5*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: [[7, [3, 2, 1, 0, 0, 0, 0, 0, 0]~, 2, 2, [-2, 2, 3, -2, 2, 0, 2, 1, 0]~], [19, [5, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [4, 2, 8, 4, 5, -2, 2, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3080(-3,2)* 

Field minimum poly (root): x^9 - 3*x^8 + 8*x^6 - 8*x^5 - 3*x^4 + 9*x^3 - 3*x^2 - x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[29, [6, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -1, -10, 8, 3, 3, -4, -9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3351(5,2) 

Field minimum poly (root): x^9 - 3*x^8 + 9*x^6 - 9*x^5 - 4*x^4 + 11*x^3 - 2*x^2 - 3*x + 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, -5, -6, -4, -3, 2, 4, 1]~], [43, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [21, 12, 7, -2, 1, 5, -2, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m100(-2,3) 

Field minimum poly (root): x^9 - 3*x^8 + 9*x^6 - 9*x^5 - 4*x^4 + 11*x^3 - 2*x^2 - 3*x + 1 (6)
Real ramification: [2, 3, 5]
Finite ramification: [[131, [-30, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [48, 41, 32, 40, -16, -57, 24, 27, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3520(3,2)* 

Field minimum poly (root): x^9 - 3*x^8 + 9*x^6 - 9*x^5 - 4*x^4 + 11*x^3 - 2*x^2 - 3*x + 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3519(-3,2) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 12*x^6 - 24*x^5 + 2*x^3 + 6*x^2 + 2*x - 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 1, 1, 1, 1, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3517(1,3) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 3*x^6 - 2*x^5 - 3*x^4 + 4*x^3 + 4*x^2 - 1 (5)
Real ramification: [3]
Finite ramification: [[7, [-2, 3, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [-3, -1, 2, -3, -2, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3045(4,1) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 5*x^6 - 5*x^5 - 2*x^4 + 3*x^3 + 2*x^2 - 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 0, 0, 1, 0, -1, -1, 1]~], [41, [-17, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-12, -3, 19, 13, -16, 9, -7, 14, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2604(1,3) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 5*x^6 - 5*x^5 - 2*x^4 + 3*x^3 + 2*x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 1, -3, 3, 1, -3, -3, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s944(-1,3)* 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 5*x^6 - 5*x^5 - 3*x^4 + 6*x^3 - x^2 - 2*x + 2 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 1, 1, 1, 1]~], [607, [-192, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [196, 20, -237, 141, -151, -260, -131, 189, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2920(-5,1)* 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 5*x^6 - 5*x^5 - 3*x^4 + 6*x^3 - x^2 - 2*x + 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2919(-5,1)* 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 6*x^6 - 3*x^5 - 3*x^4 + x^3 + 4*x^2 - 4*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 3, 3, 2, -1, -1, 2, 2, 3]~], [439, [91, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-78, 189, -196, 171, -214, -144, 219, -87, 17]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2462(4,1) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 6*x^6 - 8*x^5 + 6*x^3 - 4*x^2 - x + 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3080(3,2) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 6*x^6 - 9*x^5 + x^4 + 9*x^3 - 6*x^2 - 2*x + 1 (6)
Real ramification: [1, 4, 5]
Finite ramification: [[727, [362, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-243, 324, 220, -344, -230, 95, -183, 362, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m403(-4,1) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 6*x^6 - 9*x^5 + x^4 + 9*x^3 - 6*x^2 - 2*x + 1 (6)
Real ramification: [3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s477(-1,4)* 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 7*x^6 - 10*x^5 + 3*x^4 + 4*x^3 - 4*x^2 + x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m120(-6,1) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 7*x^6 - 11*x^5 + 5*x^4 + 6*x^3 - 11*x^2 + 2*x + 5 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0]~, 1, 5, [1, 1, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s932(-3,2) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 7*x^6 - 11*x^5 + 5*x^4 + 6*x^3 - 11*x^2 + 2*x + 5 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 1, 1, 0, 0, 1]~], [5, [-2, -2, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, -1, -1, 0, 2, 1, -1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s905(-4,1)* 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 7*x^6 - 9*x^5 - 4*x^4 + 17*x^3 - 10*x^2 - 9*x + 7 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1, 1, 1, 1]~], [2, [1, 1, 0, 0, 1, 1, 1, 0, 0]~, 1, 6, [1, 0, 0, 1, 0, 0, 0, 0, 0]~], [7, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, -1, -2, -1, -3, -2, -2, 2]~], [13, [19, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 4, 5, -3, 5, -4, 6, -6, 6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s746(1,3) 

Field minimum poly (root): x^9 - 3*x^8 + x^7 + 8*x^6 - 8*x^5 - 18*x^4 + 3*x^3 + 21*x^2 + 16*x + 4 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[11, [-3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, -1, -4, -1, -2, 4, -3, -4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3472(-2,3) 

Field minimum poly (root): x^9 - 3*x^8 - 2*x^7 + 11*x^6 - 4*x^5 - 6*x^4 + 6*x^3 - 6*x^2 + 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 0, 1, 0, 1, 0]~], [3, [4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -1, 1, -1, 0, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s649(-5,1) 

Field minimum poly (root): x^9 - 3*x^8 - 2*x^7 + 11*x^6 - 4*x^5 - 6*x^4 + 6*x^3 - 6*x^2 + 3*x - 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s645(5,1)* s646(5,1)* 

Field minimum poly (root): x^9 - 3*x^8 - 2*x^7 + 11*x^6 - 5*x^5 - 10*x^4 + 11*x^3 + x^2 - 4*x + 1 (8)
Real ramification: [1, 2, 4, 5, 7]
Finite ramification: [[43, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [21, -9, -5, -8, 1, 3, -4, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m115(-5,2)* 

Field minimum poly (root): x^9 - 3*x^8 - 2*x^7 + 11*x^6 - 5*x^5 - 10*x^4 + 11*x^3 + x^2 - 4*x + 1 (8)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, 1, 0, 0, 0, -2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m221(-3,2)* 

Field minimum poly (root): x^9 - 3*x^8 - 2*x^7 + 11*x^6 - x^5 - 15*x^4 + 12*x^3 + 4*x^2 - 19*x + 8 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 0, 0, 1, 1, 0, 0]~], [2, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1, 0, 1, 0, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 1, 1]~, 2, 2, [2, 1, 1, 1, 2, 1, 2, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 1, 1, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3216(5,1)* 

Field minimum poly (root): x^9 - 3*x^8 - 2*x^7 + 12*x^6 + 4*x^5 - 17*x^4 - 12*x^3 + 8*x^2 + 9*x + 2 (6)
Real ramification: [3, 4, 5]
Finite ramification: [[17, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -5, 2, 7, -5, 4, -4, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s673(2,3) s708(-5,1) 

Field minimum poly (root): x^9 - 3*x^8 - 2*x^7 + 12*x^6 - 20*x^4 + x^3 + 16*x^2 - 1 (6)
Real ramification: [3, 4, 5]
Finite ramification: [[7, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 3, 3, -1, 3, -1, 2, 1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s313(-5,1)* 

Field minimum poly (root): x^9 - 3*x^8 - 2*x^7 + 12*x^6 - 7*x^5 - 2*x^4 + x^3 - 4*x^2 + 4*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 0, 0, 0, 0]~, 1, 4, [1, 1, 1, 0, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3361(1,2) 

Field minimum poly (root): x^9 - 3*x^8 - 3*x^7 + 12*x^6 + 7*x^5 - 24*x^4 - x^3 + 15*x^2 - 10*x + 2 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 2, 1, 2, 2, 1, 2, 2, 1]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0]~, 1, 5, [0, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3216(3,2) 

Field minimum poly (root): x^9 - 3*x^8 - 3*x^7 + 13*x^6 - 13*x^4 + 2*x^3 - 2*x^2 + 3*x + 1 (8)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s649(-5,3) 

Field minimum poly (root): x^9 - 3*x^8 - 3*x^7 + 13*x^6 - 13*x^4 + 2*x^3 - 2*x^2 + 3*x + 1 (8)
Real ramification: [2, 5, 6]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 2, 3, -1, 2, -2, 1, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s645(5,3)* s646(5,3)* 

Field minimum poly (root): x^9 - 3*x^8 - 4*x^7 + 16*x^6 + x^5 - 22*x^4 + 6*x^3 + 4*x^2 - 4*x + 4 (8)
Real ramification: [2, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3157(5,1)* v3158(1,3)* 

Field minimum poly (root): x^9 - 3*x^8 - x^7 + 9*x^6 - 13*x^5 + 10*x^4 + 13*x^3 - 11*x^2 + 4*x + 4 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [0, 0, 0, 1, 0, 1, 0, 1, 1]~, 2, 1, [2, 1, 2, 2, 2, 1, 2, 1, 1]~], [19, [8, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -5, 8, -6, -1, -5, -9, 2, -7]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2503(-3,2) 

Field minimum poly (root): x^9 - 4*x^7 - 2*x^6 + 3*x^5 + 4*x^4 - 2*x^3 - 5*x^2 + 2*x + 4 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[41, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -19, 3, 5, -5, -16, 17, 18, -20]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2641(-1,2)* 

Field minimum poly (root): x^9 - 4*x^7 - 2*x^6 + 3*x^5 + 4*x^4 - 2*x^3 - 5*x^2 + 2*x + 4 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2642(-1,2)* 

Field minimum poly (root): x^9 - 4*x^8 + 10*x^7 - 16*x^6 + 14*x^5 - 6*x^4 - 6*x^3 + 6*x^2 - 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 0, -1, 0, -1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2543(4,1)* 

Field minimum poly (root): x^9 - 4*x^8 + 11*x^7 - 17*x^6 + 14*x^5 - 2*x^4 - 9*x^3 + 10*x^2 - 7*x + 2 (6)
Real ramification: [2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1, 0, 1, 1]~], [17, [-5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, -1, -3, -8, -4, 1, 4, -8, 2]~], [137, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, -7, 9, -10, 10, -57, 28, -15, 19]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3324(4,1)* 

Field minimum poly (root): x^9 - 4*x^8 + 11*x^7 - 21*x^6 + 29*x^5 - 31*x^4 + 22*x^3 - 10*x^2 + 2 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3441(-2,3)* 

Field minimum poly (root): x^9 - 4*x^8 + 2*x^7 + 10*x^6 - 10*x^5 - 7*x^4 + 12*x^3 - 5*x + 2 (3)
Real ramification: []
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 0, 0, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, 1, 2, 2, 1, -2, -2, 1]~], [37, [9, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, -12, -11, -18, -7, 12, 8, -13, 1]~], [151, [71, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-34, -40, 75, 14, 55, 48, 42, -75, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1600(-4,3)* 

Field minimum poly (root): x^9 - 4*x^8 + 2*x^7 + 10*x^6 - 10*x^5 - 8*x^4 + 12*x^3 - x^2 - 5*x + 2 (5)
Real ramification: [1]
Finite ramification: [[163, [80, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [53, -70, -46, 70, 52, -13, 39, 79, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3109(3,2)* 

Field minimum poly (root): x^9 - 4*x^8 + 2*x^7 + 10*x^6 - 10*x^5 - 8*x^4 + 12*x^3 - x^2 - 5*x + 2 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 0, 0, 0, 1]~], [7, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 2, -1, 2, -1, -3, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3107(-3,2) 

Field minimum poly (root): x^9 - 4*x^8 + 3*x^7 + 7*x^6 - 13*x^5 + 4*x^4 + 4*x^3 - x^2 + 2*x + 1 (7)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1, 0, 1, 1]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, -2, 1, -2, -1, -2, 0, 1]~], [29, [-7, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -8, -1, -9, -6, 1, -5, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(-2,3)* m286(5,1)* 

Field minimum poly (root): x^9 - 4*x^8 + 3*x^7 + 7*x^6 - 7*x^5 - 10*x^4 + 5*x^3 + 5*x^2 + 6*x + 2 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 0, 0, 1, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 1, 2, 1, 1, -1, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2296(5,1)* v2297(5,1)* 

Field minimum poly (root): x^9 - 4*x^8 + 4*x^7 + x^6 - 4*x^5 + 6*x^4 - 3*x^3 - 3*x - 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m340(6,1)* 

Field minimum poly (root): x^9 - 4*x^8 + 4*x^7 + x^6 - 7*x^5 + 7*x^4 - 3*x^2 + 2*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 4, 1, [1, 1, 0, 0, 1, 0, 1, 1, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -1, 2, 0, 1, 0, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2716(-4,1) 

Field minimum poly (root): x^9 - 4*x^8 + 4*x^7 - 13*x^5 + 58*x^4 - 84*x^3 + 30*x^2 + 8*x + 4 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 0, 1, 0, 1, 0, 0, 1, 0]~, 2, 1, [1, 2, 1, 2, 2, 1, 2, 2, 1]~], [2, [1, 0, 1, 0, 0, 0, 1, 0, 0]~, 4, 1, [1, 1, 1, 2, 2, 2, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2526(-1,4) 

Field minimum poly (root): x^9 - 4*x^8 + 5*x^7 + 6*x^6 - 18*x^5 + 5*x^4 + 24*x^3 - 17*x^2 - 2*x + 8 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 1, 1, 0, 1, 1, 1]~, 2, 1, [2, 1, 2, 2, 2, 2, 1, 0, 0]~], [2, [1, 1, 1, 1, 1, 0, 1, 1, 1]~, 1, 1, [2, 2, 2, 1, 2, 1, 1, 1, 1]~], [2, [3, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 2, 1, 2, 2, 1, 2, 2, 1]~], [2, [2, 1, 1, 0, 1, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 2, 2, 2, 1, 2, 1]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, 0, 1, 0, -1, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2926(5,1) 

Field minimum poly (root): x^9 - 4*x^8 + 5*x^7 - 3*x^5 - 2*x^4 + 5*x^3 + x^2 - 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[601, [130, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [282, -164, -253, -35, -291, -81, -4, -134, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s944(3,2)* 

Field minimum poly (root): x^9 - 4*x^8 + 5*x^7 - 3*x^5 - 2*x^4 + 5*x^3 + x^2 - 3*x - 1 (5)
Real ramification: [1, 3]
Finite ramification: [[7, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 3, -3, -2, 0, -1, -2, 0, 1]~], [23, [-5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, 8, 6, -9, -6, 4, 10, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2604(-3,2) 

Field minimum poly (root): x^9 - 4*x^8 + 5*x^7 - 6*x^6 + 10*x^5 - 4*x^4 - 9*x^3 + 14*x^2 - 7*x + 1 (7)
Real ramification: [1, 3, 5]
Finite ramification: [[2, [1, 0, 1, 1, 1, 1, 0, 0, 0]~, 1, 5, [1, 1, 1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2671(-4,1)* 

Field minimum poly (root): x^9 - 4*x^8 + 5*x^7 - 6*x^6 + 10*x^5 - 4*x^4 - 9*x^3 + 14*x^2 - 7*x + 1 (7)
Real ramification: [2, 3, 5]
Finite ramification: [[29, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [10, -11, -3, -5, 4, -1, -4, -2, -12]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2242(3,2)* 

Field minimum poly (root): x^9 - 4*x^8 + 6*x^7 - 2*x^6 - 5*x^5 + 7*x^4 - 4*x^3 - 2*x^2 + 2*x - 1 (5)
Real ramification: [2]
Finite ramification: [[97, [33, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [47, -19, -23, -20, -8, -44, -34, -37, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2771(4,1) 

Field minimum poly (root): x^9 - 4*x^8 + 6*x^7 - 3*x^6 - 7*x^5 + 13*x^4 - 5*x^3 - 3*x^2 + 2*x - 4 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 3, -1, 1, 3, 3, 2, 0, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2959(-1,3) 

Field minimum poly (root): x^9 - 4*x^8 + 6*x^7 - 4*x^6 - 3*x^5 + 6*x^4 + 3*x^3 + 2*x^2 - 2*x - 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 0, 0, 0, 1, 1, 1]~], [149, [74, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-33, 48, -31, 42, 6, 31, 1, 47, -60]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2603(1,4)* 

Field minimum poly (root): x^9 - 4*x^8 + 7*x^7 - 8*x^6 + 3*x^5 + 4*x^4 - 6*x^3 + 5*x^2 - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 1, -1, -1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(-5,1) 

Field minimum poly (root): x^9 - 4*x^8 + 7*x^7 - 9*x^6 + 6*x^5 - 2*x^3 + 5*x^2 - x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(-4,1) 

Field minimum poly (root): x^9 - 4*x^8 + 7*x^7 - 9*x^6 + 8*x^5 - 7*x^4 + x^3 + x^2 - 5*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1, 0]~, 2, 1, [1, 2, 2, 2, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3259(1,3)* 

Field minimum poly (root): x^9 - 4*x^8 + 8*x^7 - 7*x^6 + 3*x^5 + 2*x^4 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 0, 0, 0, 1]~], [2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 1, 1, 1, 1, 1]~], [11, [4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 1, 0, 1, 3, 1, 2, 4, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2807(-5,1) 

Field minimum poly (root): x^9 - 4*x^8 + 9*x^7 - 11*x^6 + 7*x^5 + 3*x^4 - 10*x^3 + 9*x^2 - 6*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[11, [3, 0, 0, 0, 0, 0, 0, 0, 1]~, 3, 1, [7, 8, 1, 1, 10, 8, 3, 10, 0]~], [17, [-5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -4, -8, -5, -8, 3, -2, -1, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3427(5,2) 

Field minimum poly (root): x^9 - 4*x^8 + 9*x^7 - 9*x^6 - 2*x^5 + 18*x^4 - 21*x^3 + 9*x^2 + x - 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s869(-3,1)* 

Field minimum poly (root): x^9 - 4*x^8 + x^7 + 11*x^6 - 6*x^5 - 11*x^4 + 5*x^3 + 5*x^2 - 6*x + 2 (5)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 1, 1, 0, 1, 1]~], [2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 0, 1, 1, 0, 1]~], [19, [-4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, -1, 8, -4, -3, -4, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s854(5,1)* 

Field minimum poly (root): x^9 - 5*x^5 - 4*x^3 - 3*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0]~, 1, 6, [1, 0, 1, 1, 0, 0, 0, 0, 0]~], [3, [-1, 1, 1, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, -1, 0, 0, 0, -1, -1, 1, 0]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, -2, 0, 2, -1, -1, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s644(-2,3)* 

Field minimum poly (root): x^9 - 5*x^7 + 8*x^5 - x^4 - 2*x^3 + 2*x^2 - 4*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 0, 0, 0, 1, 1]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 1, 1, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0]~, 1, 5, [1, 1, 0, 1, 1, 0, 0, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 1, 2, 2, -1, -2, -1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2738(3,1) 

Field minimum poly (root): x^9 - 5*x^7 - 3*x^6 + 3*x^5 + 8*x^4 + 6*x^3 - 8*x^2 - 8*x - 1 (6)
Real ramification: [1, 2, 5]
Finite ramification: [[7, [-1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, -2, -1, -2, 2, -1, -1, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3184(1,2)* 

Field minimum poly (root): x^9 - 5*x^7 - 4*x^6 + 7*x^4 + 23*x^3 + 19*x^2 + x - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(2,3) v2335(-6,1) 

Field minimum poly (root): x^9 - 5*x^7 - x^6 + 10*x^5 + 4*x^4 - 10*x^3 - 8*x^2 + 4*x + 4 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-2, -2, 1, 0, 0, 0, 0, 0, 0]~, 2, 2, [-2, 0, -2, 0, 2, 0, -1, 2, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2908(-4,1)* 

Field minimum poly (root): x^9 - 5*x^7 - x^6 + 9*x^5 + 2*x^4 - 10*x^3 - 2*x^2 + 4*x + 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[43, [-4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-14, 4, 14, -6, 6, 3, 12, 2, 7]~], [71, [96, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-20, -5, 1, 27, 13, -20, -18, -27, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2413(-1,3)* 

Field minimum poly (root): x^9 - 6*x^7 + 12*x^5 - x^4 - 6*x^3 + 2*x^2 - 5*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[101, [16, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -22, 49, -38, -23, -45, 47, -32, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m188(-3,1) 

Field minimum poly (root): x^9 - 6*x^7 - 2*x^6 + 10*x^5 + 6*x^4 - x^3 - 3*x^2 - 5*x - 1 (6)
Real ramification: [3, 4]
Finite ramification: [[13, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 1, -2, -6, 6, 2, -2, -2, 1]~], [41, [11, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-15, -14, 1, 11, 7, 4, -8, -11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s423(1,4)* 

Field minimum poly (root): x^9 - 6*x^7 - 2*x^6 + 10*x^5 + 6*x^4 - x^3 - 3*x^2 - 5*x - 1 (6)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m358(-1,4) 

Field minimum poly (root): x^9 - 6*x^7 - 2*x^6 + 5*x^5 - 4*x^4 + 2*x^3 + 5*x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s821(4,1)* 

Field minimum poly (root): x^9 - 6*x^7 - 2*x^6 + 5*x^5 - 4*x^4 + 2*x^3 + 5*x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1, 0, 0, 0]~, 1, 5, [1, 1, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s734(2,3)* 

Field minimum poly (root): x^9 - 6*x^7 - 4*x^6 + 14*x^5 + 10*x^4 - 14*x^3 - 3*x^2 + 5*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 1, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3274(-2,3) 

Field minimum poly (root): x^9 - 6*x^7 - x^6 + 11*x^5 + 2*x^4 - 6*x^3 + x^2 - x - 2 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s477(1,3)* 

Field minimum poly (root): x^9 - 8*x^6 - 5*x^5 - 5*x^4 + 6*x^3 + 2*x^2 + 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 2, 2, 1, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3208(-3,2) v3209(-3,2) 

Field minimum poly (root): x^9 - x^6 + x^5 + x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[263, [-3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [93, 38, -77, -31, 81, 34, 20, -6, 23]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m196(1,4) 

Field minimum poly (root): x^9 - x^6 - 11*x^4 - 5*x^3 - 8*x + 8 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1, 1]~, 3, 1, [1, 2, 1, 1, 2, 1, 2, 1, 1]~], [2, [0, 1, 0, 0, 1, 0, 1, 1, 1]~, 1, 1, [2, 2, 1, 1, 1, 2, 2, 2, 1]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 2, [1, 1, 2, 1, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2530(5,1)* 

Field minimum poly (root): x^9 - x^6 - 2*x^5 - 9*x^4 - 2*x^3 + 9*x^2 + 11*x + 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 1, 0, 0, 0, 0, 1, 1]~, 4, 1, [1, 2, 2, 1, 2, 1, 1, 0, 0]~], [2, [3, 1, 0, 1, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 1, 0, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(-3,1) 

Field minimum poly (root): x^9 - x^6 - x^5 + 4*x^4 - 3*x^3 - x^2 + 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[103, [-22, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-17, 32, 50, 44, 13, 41, -36, 18, 11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m180(3,2) 

Field minimum poly (root): x^9 - x^6 - x^5 - 2*x^4 + 2*x^3 - 2*x^2 + 3*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[149, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-48, -33, 12, 50, -67, -28, 11, -6, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3178(-2,3)* 

Field minimum poly (root): x^9 - x^7 - 4*x^6 + 2*x^5 + 5*x^4 + 2*x^3 - 2*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 1, 1, 1, 0]~], [13, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -5, -1, -3, -5, 6, 0, 0, -6]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2636(4,1) 

Field minimum poly (root): x^9 - x^7 - x^6 - 4*x^5 + x^4 + 2*x^3 + 2*x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, -1, 1, -1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(-5,1)* 

Field minimum poly (root): x^9 - x^8 + 2*x^6 - 2*x^5 + 5*x^4 - 3*x^3 - 4*x^2 + 4*x - 1 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s921(-1,3) 

Field minimum poly (root): x^9 - x^8 + 2*x^6 - x^5 - x^4 + 2*x^3 + x^2 - 2*x + 1 (2)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 1, 0, 0, 0, 1]~], [857, [-168, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-403, 370, -411, -181, 305, -90, -225, 167, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2898(-1,3)* v2899(-4,1)* 

Field minimum poly (root): x^9 - x^8 + 2*x^7 + x^6 + 3*x^5 - 2*x^3 + 3*x^2 - x + 1 (2)
Real ramification: [1]
Finite ramification: [[181, [23, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [29, -53, 81, 68, 61, -55, 70, 77, 20]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2209(2,3) 

Field minimum poly (root): x^9 - x^8 + 2*x^7 + x^6 + 3*x^5 - 7*x^4 - 11*x^3 + 10*x^2 + 2*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1, 0, 0, 0]~, 1, 5, [0, 0, 0, 1, 1, 0, 0, 0, 0]~], [37, [-16, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [10, 16, -18, 7, 11, -8, -1, 10, 12]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s699(-5,1)* 

Field minimum poly (root): x^9 - x^8 + 2*x^7 + x^6 + 3*x^5 - 7*x^4 - 11*x^3 + 10*x^2 + 2*x - 2 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 0, 1, 0, 0, 0, 1]~], [2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 1, 0, 0, 0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s698(-5,1)* 

Field minimum poly (root): x^9 - x^8 + 2*x^7 + x^6 - 2*x^5 + 4*x^4 - 5*x^3 + 4*x^2 - 3*x + 1 (5)
Real ramification: [1]
Finite ramification: [[37, [14, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -14, -4, -8, -15, -7, -10, -15, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2568(-3,2) 

Field minimum poly (root): x^9 - x^8 + 2*x^7 - 2*x^6 + 8*x^5 - 14*x^4 + 15*x^3 - 7*x^2 + x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1, 0, 0, 0, 0]~], [5, [6, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 2, -1, 0, 0, -2, -2, 1, 2]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, 0, 0, 2, -2, 1, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3458(4,1) 

Field minimum poly (root): x^9 - x^8 + 2*x^7 - 2*x^6 - 2*x^5 + 3*x^4 - 5*x^3 + 6*x^2 - 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 0, 1, 0, 1, 0]~, 1, 2, [1, 1, 1, 1, 2, 1, 2, 1, 0]~], [3, [-1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, -1, 1, 1, -1, 0]~], [4289, [-323, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1132, 1414, -394, -1183, -246, -1478, 1071, 644, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s643(-5,3) 

Field minimum poly (root): x^9 - x^8 + 2*x^7 - x^6 + x^5 + 6*x^4 - 8*x^3 - 3*x^2 + 3*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[29, [-14, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 3, 14, -3, 10, -14, 13, -12, -12]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3483(3,2)* 

Field minimum poly (root): x^9 - x^8 + 3*x^6 - 6*x^5 + 9*x^4 - 6*x^3 + 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[17, [5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -5, 1, 3, -8, 8, -7, 5, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m175(-5,1) 

Field minimum poly (root): x^9 - x^8 + 3*x^6 - 6*x^5 + 9*x^4 - 6*x^3 + 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(3,1) 

Field minimum poly (root): x^9 - x^8 + 3*x^6 - x^5 - x^4 + 2*x^3 - x^2 - 2*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 1, 0, 1, 0]~], [5, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 1, -1, -1, 1, -2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s450(-1,3) 

Field minimum poly (root): x^9 - x^8 + 3*x^7 + x^6 + 2*x^5 + 3*x^4 + 4*x^3 + x^2 + 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, -3, -1, 3, -2, -2, 1]~], [17, [-1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -3, -4, -8, 6, 4, 3, 0, 1]~], [47, [10, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-14, 11, -1, -23, 12, -1, 19, -11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3328(6,1)* 

Field minimum poly (root): x^9 - x^8 + 3*x^7 + x^6 + 2*x^5 + 3*x^4 + 4*x^3 + x^2 + 2*x + 1 (3)
Real ramification: [1]
Finite ramification: [[83, [39, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-17, 9, -30, 3, 0, -34, -14, -40, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3327(2,3) 

Field minimum poly (root): x^9 - x^8 + 3*x^7 - 3*x^6 + 3*x^5 - 2*x^4 + x^3 - 1 (3)
Real ramification: [1]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -1, 2, 1, 2, 0, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m369(-4,1)* m371(4,1) 

Field minimum poly (root): x^9 - x^8 + 3*x^7 - 7*x^6 + 5*x^5 - 8*x^4 + 11*x^3 - 3*x^2 + 4*x - 4 (4)
Real ramification: [1]
Finite ramification: [[103, [-20, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-39, -31, -34, 27, 12, 36, -38, 22, 20]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3318(-1,3) v3318(3,1) 

Field minimum poly (root): x^9 - x^8 + 3*x^7 - x^6 - 5*x^5 + 9*x^4 - 12*x^3 + 8*x^2 - 5*x + 2 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 1, 0, 1]~], [7, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 2, 3, 0, -2, -3, 2, -2, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3458(-3,1)* 

Field minimum poly (root): x^9 - x^8 + 4*x^7 + 2*x^6 - 2*x^5 + 8*x^4 + x^3 - x^2 + 3*x + 1 (5)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1, 0, 0, 0, 0]~], [43, [-20, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [14, 18, -7, 15, 16, 13, -6, -5, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s498(4,3) 

Field minimum poly (root): x^9 - x^8 + 4*x^7 + x^6 + 11*x^5 - x^4 + x^3 + 15*x^2 - 4*x - 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[37, [23, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 8, 1, -9, -12, 3, -10, 5, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3443(3,1)* 

Field minimum poly (root): x^9 - x^8 + 4*x^7 - 3*x^6 + 5*x^5 - 4*x^4 + 5*x^3 - 2*x^2 + x + 1 (4)
Real ramification: [1]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-3, 2, -3, -1, 3, -3, 0, 3, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s847(2,3) 

Field minimum poly (root): x^9 - x^8 + 4*x^7 - 4*x^6 + 7*x^5 - 8*x^4 + 6*x^3 - 7*x^2 + 2*x - 4 (3)
Real ramification: [1]
Finite ramification: [[2, [2, 0, 0, 0, 0, 0, 1, 0, 0]~, 1, 2, [1, 1, 1, 2, 2, 2, 1, 0, 0]~], [11, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -3, -1, -2, 5, 1, -5, -4, 2]~], [17, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 5, 6, 3, 3, -7, -7, -6, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s817(-2,3)* s818(-2,3)* 

Field minimum poly (root): x^9 - x^8 + 4*x^7 - x^6 + 2*x^5 + 2*x^4 - 5*x^3 + 5*x^2 - 4*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 1, 0, 0, 1, 1, 1]~, 2, 1, [2, 1, 1, 2, 2, 2, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2979(-1,3) 

Field minimum poly (root): x^9 - x^8 + 5*x^7 + 4*x^5 + 8*x^4 - x^3 + 5*x^2 + 3*x - 2 (5)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3526(-2,3) 

Field minimum poly (root): x^9 - x^8 + 5*x^7 - 4*x^6 + 8*x^5 - 5*x^4 + 2*x^3 - x^2 - 4*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -5, 4, -2, -3, 0, -4, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s777(5,2) 

Field minimum poly (root): x^9 - x^8 + 6*x^7 - 5*x^6 + 12*x^5 - 8*x^4 + 6*x^3 - 3*x^2 - 5*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 3, -1, 2, -2, 2, 0, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s777(6,1) 

Field minimum poly (root): x^9 - x^8 + 8*x^6 - 10*x^5 + 4*x^4 + 8*x^3 - 4*x^2 + x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[137, [31, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-66, 5, 17, 31, 62, -39, -11, 18, 8]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3208(-1,3)* v3209(-1,3)* 

Field minimum poly (root): x^9 - x^8 + x^6 - 3*x^5 + x^4 + 2*x^2 - 3*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[53, [-18, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, 1, -9, -15, -2, 1, -14, 16, 9]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m030(5,2)* 

Field minimum poly (root): x^9 - x^8 + x^6 - x^5 + 2*x^4 - x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2643(-5,2)* 

Field minimum poly (root): x^9 - x^8 + x^6 - x^5 + 2*x^4 - x^2 - x - 1 (4)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2640(5,2) 

Field minimum poly (root): x^9 - x^8 + x^7 + 2*x^6 + 2*x^5 + 7*x^4 + 3*x^3 + 4*x^2 - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 1, -1, 0, -1, -1, -1, 1]~, 2, 1, [2, 2, 1, 1, 2, 3, 1, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2573(-3,4) 

Field minimum poly (root): x^9 - x^8 + x^7 + 3*x^6 - 4*x^5 + 3*x^4 + 3*x^3 - 3*x^2 + 3*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[43, [-10, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, 7, 1, 17, 10, 10, 5, 9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s173(-4,1)* 

Field minimum poly (root): x^9 - x^8 + x^7 + 3*x^6 - 5*x^5 + 8*x^4 - 9*x^3 + x^2 + 3*x - 1 (6)
Real ramification: [2, 4, 5]
Finite ramification: [[13, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 2, -6, -5, 0, -4, 3, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3110(-3,2) 

Field minimum poly (root): x^9 - x^8 + x^7 + 3*x^6 - 5*x^5 + 8*x^4 - 9*x^3 + x^2 + 3*x - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[37, [-17, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, -14, 10, 12, -15, -18, 14, 16, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3106(3,2)* 

Field minimum poly (root): x^9 - x^8 + x^7 + x^6 + 2*x^3 - x^2 + 1 (2)
Real ramification: [1]
Finite ramification: [[271, [122, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, -130, 121, 59, -96, 23, 101, -123, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m232(4,1) 

Field minimum poly (root): x^9 - x^8 + x^7 + x^6 - 4*x^5 + 3*x^4 - 3*x^3 + 7*x^2 - 5*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 1, -1, 1, -1, -1, 0, 0, -1]~], [7, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [3, 3, 0, -3, -1, 2, 0, -3, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3132(1,3)* v3247(-3,2)* 

Field minimum poly (root): x^9 - x^8 + x^7 - 2*x^6 + x^5 + 7*x^4 - 9*x^3 + 2*x^2 + 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, -1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m373(-3,2)* 

Field minimum poly (root): x^9 - x^8 + x^7 - 3*x^6 + 2*x^5 + 4*x^3 - 2*x^2 - 2*x + 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 1, 0, 0, 1, 0]~], [43, [12, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [18, -16, -6, 8, -15, 5, -15, -13, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m297(5,1) 

Field minimum poly (root): x^9 - x^8 + x^7 - 3*x^6 - 2*x^5 + 5*x^4 - x^3 - 2*x^2 + 2*x + 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s691(-3,2) 

Field minimum poly (root): x^9 - x^8 + x^7 - 9*x^6 - 8*x^4 + 7*x^3 - x^2 + 3*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [2, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [1, 2, 1, 1, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3208(-5,1) v3209(-5,1) 

Field minimum poly (root): x^9 - x^8 + x^7 - 9*x^6 - 8*x^4 + 7*x^3 - x^2 + 3*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: [[7, [-3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 3, 3, -2, -3, 1, 1, 0, 1]~], [31, [7, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -6, 8, -9, 0, -9, 6, 11, 8]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3212(-5,1) 

Field minimum poly (root): x^9 - x^8 - 2*x^6 + 2*x^5 + 8*x^4 - 3*x^3 - 4*x^2 - x - 1 (6)
Real ramification: [1, 3]
Finite ramification: [[7, [-3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -3, 0, -3, 0, -1, 2, 3, -3]~], [17, [-5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 3, 1, -4, -3, -4, -7, -4, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2238(4,1) v3511(-1,2) 

Field minimum poly (root): x^9 - x^8 - 2*x^6 + 2*x^5 + x^4 + 3*x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 0, 0, 0, 0, 1, 0, 1, 1]~, 2, 2, [2, 1, 2, 2, 2, 1, 2, 1, 0]~], [13, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 2, 2, 0, 5, 0, 1, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2930(1,3) 

Field minimum poly (root): x^9 - x^8 - 2*x^7 + 2*x^6 + 5*x^5 - 9*x^4 - 5*x^3 + 9*x^2 + 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[7, [-1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, -2, -3, 0, -1, 1, -2, 1, 0]~], [29, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -3, 13, 12, 5, 9, 6, 10, -10]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s663(-3,2)* 

Field minimum poly (root): x^9 - x^8 - 2*x^7 + 2*x^6 + x^5 - 4*x^4 + 4*x^2 + x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[607, [196, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [96, 15, -158, 7, -158, -89, -238, -197, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m239(-4,1) 

Field minimum poly (root): x^9 - x^8 - 2*x^7 + 9*x^5 - 7*x^4 - 6*x^3 + 7*x^2 + x - 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 1, 0, 1, 1, 1, 0, 0]~], [701, [-74, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [177, -32, -329, 212, 129, 32, -202, 68, 17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2099(1,3) 

Field minimum poly (root): x^9 - x^8 - 2*x^7 + 9*x^6 - 8*x^5 - 4*x^4 + x^3 - x^2 + 8*x - 1 (5)
Real ramification: [3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 0, 0, 1, 1, 0, 0]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 2, [1, 2, 2, 1, 2, 2, 2, 1, 0]~], [2, [2, 0, 0, 1, 1, 1, 0, 1, 0]~, 1, 2, [2, 1, 2, 2, 2, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3261(2,3)* 

Field minimum poly (root): x^9 - x^8 - 2*x^7 + x^5 + 3*x^4 + x^3 - 2*x^2 - x + 1 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2716(3,2) 

Field minimum poly (root): x^9 - x^8 - 2*x^7 + x^6 + x^5 + x^4 - 3*x^3 + 4*x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[13, [5, 3, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [-5, -2, -3, 1, -3, -4, 5, 2, 0]~], [23, [5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, 3, -3, -9, 1, -4, 10, 9, 6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3491(3,2)* v3493(3,2)* 

Field minimum poly (root): x^9 - x^8 - 2*x^7 - 2*x^6 + 3*x^5 + 5*x^4 + 2*x^3 - x^2 - 3*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 0, 1, 1, 1, 0, 0]~, 1, 6, [1, 1, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m188(-1,3) 

Field minimum poly (root): x^9 - x^8 - 2*x^7 - 2*x^6 - 2*x^5 - 3*x^4 - 2*x^2 - 4*x - 1 (5)
Real ramification: [1, 3]
Finite ramification: [[3, [-1, -1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 0, -1, 0, 1, 0]~], [5, [7, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 2, -1, -1, 1, 2, 2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s348(4,1) 

Field minimum poly (root): x^9 - x^8 - 2*x^7 - 2*x^6 - x^5 + 4*x^4 + 7*x^3 + 8*x^2 + 5*x + 2 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m293(5,1) 

Field minimum poly (root): x^9 - x^8 - 2*x^7 - x^6 + 6*x^5 + 2*x^3 - 9*x^2 - 4*x + 1 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s730(1,2) 

Field minimum poly (root): x^9 - x^8 - 3*x^6 + 8*x^5 + 3*x^4 - 11*x^3 + 2*x^2 + 3*x - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m023(-3,2)* 

Field minimum poly (root): x^9 - x^8 - 3*x^6 - x^5 + 6*x^4 + 5*x^3 - 5*x - 3 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3534(4,1)* 

Field minimum poly (root): x^9 - x^8 - 3*x^7 + 2*x^6 + 2*x^5 - 2*x^4 - 18*x^3 - 11*x^2 - 5*x - 1 (4)
Real ramification: [2, 3]
Finite ramification: [[3, [1, 1, -1, 0, -1, -1, 0, 0, 1]~, 2, 1, [1, 3, 3, 3, 3, 1, 2, 3, 2]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 4, 1, [1, 2, -1, 0, 2, 0, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3508(-2,3)* v3511(-2,3)* 

Field minimum poly (root): x^9 - x^8 - 3*x^7 + 4*x^5 + x^4 - x^3 + x^2 + 3*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3331(-4,3)* 

Field minimum poly (root): x^9 - x^8 - 3*x^7 + 6*x^5 - 8*x^4 - 5*x^3 + 6*x^2 + x - 1 (7)
Real ramification: [2, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [2, 2, 2, 2, 2, 2, 2, 1, 0]~], [2, [0, 1, 1, 0, 1, 0, 1, 1, 1]~, 2, 1, [1, 2, 1, 1, 2, 2, 1, 1, 0]~], [2, [1, 1, 0, 1, 1, 1, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 1, 0, 0, 0, 0]~], [23, [-9, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, -1, 10, -1, -1, -1, -7, -7, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2547(5,1) 

Field minimum poly (root): x^9 - x^8 - 3*x^7 + 6*x^5 - 8*x^4 - 5*x^3 + 6*x^2 + x - 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [2, 2, 2, 2, 2, 2, 2, 1, 0]~], [2, [0, 1, 1, 0, 1, 0, 1, 1, 1]~, 2, 1, [1, 2, 1, 1, 2, 2, 1, 1, 0]~], [2, [1, 1, 0, 1, 1, 1, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s916(-2,3) 

Field minimum poly (root): x^9 - x^8 - 3*x^7 + 6*x^5 - 8*x^4 - 5*x^3 + 6*x^2 + x - 1 (7)
Real ramification: [1, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [2, 2, 2, 2, 2, 2, 2, 1, 0]~], [67, [-17, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, -4, 8, -19, 12, 16, -14, 32, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2296(-1,3) v2297(-1,3) 

Field minimum poly (root): x^9 - x^8 - 3*x^7 + 6*x^6 - 9*x^5 + 6*x^4 + 3*x^2 + x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2158(-1,3)* 

Field minimum poly (root): x^9 - x^8 - 3*x^7 + 8*x^6 - 3*x^5 - 2*x^4 + 3*x^3 + 4*x^2 + 2*x - 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2901(1,3) 

Field minimum poly (root): x^9 - x^8 - 3*x^7 + x^6 + 5*x^5 + 2*x^4 - 3*x^3 - 4*x^2 + 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s813(4,3)* 

Field minimum poly (root): x^9 - x^8 - 3*x^7 - 2*x^6 + 6*x^5 + 6*x^4 - x^3 - 6*x^2 - 2*x + 1 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 0, 0, 0, 1, 0]~], [109, [38, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-43, -19, -14, -14, 12, 40, -47, -39, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s640(-5,3)* 

Field minimum poly (root): x^9 - x^8 - 3*x^7 - 4*x^6 + 2*x^5 + 9*x^4 + 10*x^3 + 6*x^2 - 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2051(-4,1) 

Field minimum poly (root): x^9 - x^8 - 3*x^7 - 4*x^6 + 3*x^5 + 10*x^4 - x^3 - 3*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[19, [-6, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -9, 6, 7, -1, 4, 7, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3275(-3,1)* 

Field minimum poly (root): x^9 - x^8 - 3*x^7 - 5*x^6 - 3*x^5 + 17*x^4 + 26*x^3 + 24*x^2 + 7*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 2, 2, 2, 2, 1, 1, 0]~], [2, [0, 0, 1, 1, 1, 1, 1, 1, 1]~, 1, 1, [2, 2, 1, 1, 1, 2, 1, 2, 1]~], [2, [1, 0, 0, 1, 0, 0, 0, 1, 0]~, 1, 3, [2, 1, 1, 2, 2, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3187(6,1)* 

Field minimum poly (root): x^9 - x^8 - 3*x^7 - x^6 - x^5 + 18*x^4 - 15*x^3 + 4*x^2 + 3*x + 3 (4)
Real ramification: [1]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, -1, 1, 0, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3272(-4,1)* v3273(-1,3)* 

Field minimum poly (root): x^9 - x^8 - 4*x^5 + 3*x^4 - x^3 + x^2 + 3*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 0, -1, 1, 1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(-3,1) 

Field minimum poly (root): x^9 - x^8 - 4*x^5 + 3*x^4 - x^3 + x^2 + 3*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[7, [-3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 3, 3, -1, 1, -3, -1, 2, 1]~], [11, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -5, 2, -1, 5, -3, 1, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2573(1,3)* 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 3*x^6 + x^4 + 3*x^3 - 2*x^2 - 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[17, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 5, -7, -1, -1, -4, -6, 4, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s704(5,1) 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 4*x^6 + 4*x^5 - 3*x^4 - 4*x^3 + 4*x^2 - x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [4, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [9, 2, 12, 12, 12, 1, 11, 10, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s657(2,3) 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 4*x^6 + 4*x^5 - 4*x^4 + x^3 - x - 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m188(1,4) 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 4*x^6 + 5*x^5 - 7*x^4 + 6*x^2 - 4*x - 2 (6)
Real ramification: [1, 3]
Finite ramification: [[7, [-1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, -1, 2, 1, 3, -1, -2, 1, 0]~], [149, [32, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-27, 34, -2, 9, -1, 14, 7, -30, 11]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2503(-1,3)* 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 4*x^6 + 8*x^5 - 8*x^4 - 9*x^3 + 12*x^2 + 4*x - 8 (5)
Real ramification: [1, 3]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, -2, 0, -1, 2, -1]~], [11, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 4, 1, -3, 2, 2, 0, 1, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0940(-7,1) 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 4*x^6 + 8*x^5 - 8*x^4 - 9*x^3 + 12*x^2 + 4*x - 8 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, -2, 0, -1, 2, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s478(5,2)* s479(-5,2) 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 4*x^6 + 8*x^5 - 8*x^4 - 9*x^3 + 12*x^2 + 4*x - 8 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m389(-5,2) 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 5*x^6 + 3*x^5 - 6*x^4 - x^3 + 4*x^2 + x - 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s806(2,3)* 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + 6*x^6 + x^5 - 8*x^4 + 5*x^3 + x^2 - 3*x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(-5,1) 

Field minimum poly (root): x^9 - x^8 - 4*x^7 + x^6 + 7*x^5 - 5*x^4 + 7*x^2 - 3*x - 2 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [1, 0, 0, 1, 1, 0, 0, 0, 0]~, 1, 4, [0, 1, 1, 0, 0, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0]~, 1, 4, [0, 1, 0, 0, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3310(3,1) 

Field minimum poly (root): x^9 - x^8 - 4*x^7 - x^6 + 10*x^5 + 3*x^4 - 10*x^3 - 3*x^2 + 3*x + 1 (7)
Real ramification: [2, 3, 5]
Finite ramification: [[23, [-6, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -5, -8, 8, -3, -6, 3, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3244(3,2)* v3246(3,2)* 

Field minimum poly (root): x^9 - x^8 - 4*x^7 - x^6 + 10*x^5 + 3*x^4 - 10*x^3 - 3*x^2 + 3*x + 1 (7)
Real ramification: [5]
Finite ramification: [[23, [-6, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -5, -8, 8, -3, -6, 3, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2603(-3,4)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 12*x^6 - 6*x^5 - 10*x^4 + 8*x^3 - x^2 + 3 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s493(3,2)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 2*x^6 + 8*x^5 + 4*x^4 - 6*x^3 - 4*x^2 + 2 (4)
Real ramification: [1, 3]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, -2, 1, -2, 0, 2, -2, 1]~], [17, [23, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -1, 8, -8, 2, 1, 3, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s855(3,4) 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 3*x^6 + 5*x^5 + x^4 + 5*x^3 - 5*x^2 - 6*x + 3 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, -1, -1, 0, -1, -1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3517(1,2)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 3*x^6 + 9*x^5 + x^4 - 8*x^3 - 6*x^2 + 3*x + 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 0, 1, 0, 1, 0, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0]~, 2, 3, [1, 0, 0, 1, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m147(4,1)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 4*x^6 + 5*x^5 - 6*x^4 - x^3 + 2*x^2 - 4*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2503(2,3) 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 4*x^6 + 6*x^5 - 2*x^4 - 3*x^2 - 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 1, -1, -1, 2, 2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m036(5,1)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 4*x^6 + 8*x^5 - 5*x^4 - 2*x^3 + x^2 - 4*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2523(1,3)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 4*x^6 + 8*x^5 - 5*x^4 - 3*x^3 - 2*x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0]~, 1, 6, [0, 0, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2592(1,4)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 5*x^6 + 6*x^5 - 8*x^4 - x^3 + 4*x^2 - x - 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, -1, 0, -1, -1, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m015(5,2)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 5*x^6 + 7*x^5 - 7*x^4 - 5*x^3 + 3*x^2 + 5*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3178(-3,2) 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 5*x^6 + 8*x^5 - 9*x^4 - 3*x^3 + 6*x^2 - 3*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 1, 0, 0, 1, 0, 1]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -3, -5, -4, -3, 4, -2, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2756(3,1)* 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 7*x^6 + 5*x^5 - 13*x^4 + 6*x^3 + 5*x^2 - 7*x + 1 (7)
Real ramification: [1, 4, 5]
Finite ramification: [[67, [20, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, -30, -15, -9, -27, 15, 13, -21, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m358(-4,1) 

Field minimum poly (root): x^9 - x^8 - 5*x^7 + 7*x^6 + 5*x^5 - 13*x^4 + 6*x^3 + 5*x^2 - 7*x + 1 (7)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s254(4,3) 

Field minimum poly (root): x^9 - x^8 - 5*x^7 - 2*x^6 - 5*x^5 + 3*x^4 + 2*x^3 - 10*x^2 - x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[11, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 5, 4, 3, -4, 4, 3, 5, -1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3288(-3,1)* 

Field minimum poly (root): x^9 - x^8 - 6*x^7 + 10*x^6 + 4*x^5 - 12*x^4 - 2*x^3 + 3*x^2 + 3*x + 2 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 0, 0, 1, 1]~], [2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 0, 0, 0, 0, 1]~], [2, [3, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 1, 1, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s823(-6,1)* 

Field minimum poly (root): x^9 - x^8 - 6*x^7 + 4*x^6 + 8*x^5 - 2*x^4 + x^3 - 5*x^2 - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3408(-1,2) 

Field minimum poly (root): x^9 - x^8 - 6*x^7 + 5*x^6 + 12*x^5 - 7*x^4 - 6*x^3 + x^2 - 4*x + 1 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1, 1, 0, 0, 1]~], [29, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [14, 9, 4, 5, 6, -3, -4, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m293(-1,4) 

Field minimum poly (root): x^9 - x^8 - 6*x^7 + 5*x^6 + 12*x^5 - 8*x^4 - 7*x^3 + 5*x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m147(-4,3) 

Field minimum poly (root): x^9 - x^8 - 6*x^7 + 6*x^6 + 8*x^5 - 13*x^4 + x^3 + 7*x^2 - 5*x + 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[29, [-7, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -7, -2, 12, -13, -3, 7, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s764(3,2)* 

Field minimum poly (root): x^9 - x^8 - 7*x^7 + 3*x^6 + 20*x^5 + x^4 - 25*x^3 - 7*x^2 + 8*x - 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[251, [60, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [46, -9, -92, -70, -3, -54, -112, -61, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2761(-4,1)* 

Field minimum poly (root): x^9 - x^8 - 7*x^7 + 4*x^5 - 2*x^4 + 3*x^3 + 3*x^2 - x + 2 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 0, 0, 0, 0]~], [5, [2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 0, 2, -1, -1, -2, -2, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3219(-3,2)* 

Field minimum poly (root): x^9 - x^8 - 8*x^7 + 6*x^6 + 21*x^5 - 15*x^4 - 20*x^3 + 14*x^2 + 5*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 1, 1]~, 2, 2, [1, 1, 2, 1, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2960(-4,1)* 

Field minimum poly (root): x^9 - x^8 - x^6 + 2*x^5 + 5*x^3 - 3*x^2 - 2*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 0, 0, 1, 1, 0, 0]~], [2, [0, 1, 0, 0, 0, 1, 1, 0, 1]~, 1, 2, [2, 2, 1, 2, 2, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3529(-5,1) 

Field minimum poly (root): x^9 - x^8 - x^6 - 2*x^5 + 4*x^4 - 4*x^3 + 5*x^2 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0]~, 4, 1, [1, 0, -1, 0, 1, 0, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(2,3)* 

Field minimum poly (root): x^9 - x^8 - x^6 - 5*x^5 + 2*x^4 + 4*x^3 + 3*x^2 - 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s798(2,3) 

Field minimum poly (root): x^9 - x^8 - x^7 + 2*x^6 + 2*x^5 - 3*x^4 - x^3 + 4*x^2 - x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0]~, 1, 5, [1, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m168(4,1) 

Field minimum poly (root): x^9 - x^8 - x^7 + 2*x^6 + 5*x^5 - 3*x^3 - 2*x^2 + 2*x + 1 (4)
Real ramification: []
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 1, 1, 1, 0, 0, 0, 0]~], [71, [-15, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, 19, -30, 21, -27, 14, -10, 28, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s832(4,3)* 

Field minimum poly (root): x^9 - x^8 - x^7 + 2*x^6 - 4*x^5 + 2*x^4 + x^3 + x^2 - x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s798(-4,1)* 

Field minimum poly (root): x^9 - x^8 - x^7 + 3*x^6 - 3*x^4 + 3*x^3 + 2*x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[257, [124, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-114, -82, 67, -100, 7, -27, 79, -125, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m011(4,1) 

Field minimum poly (root): x^9 - x^8 - x^7 + 3*x^6 - 3*x^4 + 3*x^3 + 2*x^2 - 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s513(-4,1)* 

Field minimum poly (root): x^9 - x^8 - x^7 + 3*x^6 - 3*x^5 + x^4 + 2*x^3 - 2*x^2 + 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[251, [-2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-125, 62, 32, 15, 7, 5, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s648(-6,1) 

Field minimum poly (root): x^9 - x^8 - x^7 + 5*x^6 - x^5 - x^4 + 4*x^3 + x^2 + x + 1 (6)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 1, 0, 0, 1, 0]~], [307, [120, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-109, 69, -85, 35, -141, -51, 91, -121, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2460(2,3) 

Field minimum poly (root): x^9 - x^8 - x^7 + 6*x^6 - 2*x^5 - 4*x^4 + 6*x^3 + 3*x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, 0, -1, -2, 0, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s359(5,2) 

Field minimum poly (root): x^9 - x^8 - x^7 + 6*x^6 - 5*x^5 - x^2 + 2*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1, 1, 0, 1]~], [37, [10, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, 5, -8, -14, -6, -11, -2, -11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2756(-4,3)* 

Field minimum poly (root): x^9 - x^8 - x^7 + x^6 + 2*x^5 - 3*x^4 - x^3 + 4*x^2 - 2*x - 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [4, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -1, 4, -1, -2, 1, -4, 0, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m141(-5,3)* 

Field minimum poly (root): x^9 - x^8 - x^7 + x^6 - 3*x^5 + 2*x^4 + x^3 + 2*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2944(-1,3) 

Field minimum poly (root): x^10 + 2*x^8 - 2*x^7 + 8*x^6 - 5*x^5 + 7*x^4 - 6*x^3 + 7*x^2 + 5*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2298(-5,1) 

Field minimum poly (root): x^10 + 2*x^8 - 3*x^6 - 2*x^4 - x^3 + 5*x^2 + x - 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 1, 0, 0, 0, 1]~], [2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0]~, 1, 6, [0, 1, 0, 1, 1, 0, 0, 0, 0, 0]~], [67, [-10, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [27, 16, -19, 25, -4, 13, 15, -32, 10, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s702(5,1) 

Field minimum poly (root): x^10 + 2*x^8 - 3*x^7 - 5*x^6 - x^4 - 5*x^3 - 4*x^2 + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s954(2,3)* 

Field minimum poly (root): x^10 + 2*x^8 - 5*x^6 - 4*x^5 - 12*x^4 - 12*x^3 - 9*x^2 - 8*x - 2 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0, 1, 0, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 1, 1, 0, 1, 1]~, 2, 2, [2, 2, 1, 1, 1, 0, 0, 0, 0, 0]~], [3, [1, 1, -1, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 0, -1, 1, -1, -1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s707(-5,2)* 

Field minimum poly (root): x^10 + 3*x^8 + 2*x^6 - x^5 - 4*x^4 - 2*x^3 - 7*x^2 - 2*x - 4 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0, 0, 0, 1, 1, 0]~], [2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 1, 2, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s817(-3,2)* s818(-3,2)* 

Field minimum poly (root): x^10 + 3*x^8 + 4*x^6 - x^5 + 2*x^4 - 2*x^3 - 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 0, 0, 0, 1, 1]~], [2089, [436, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-551, -406, 183, 426, 344, 4, 0, 0, -436, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s440(-3,2)* 

Field minimum poly (root): x^10 + 3*x^8 + 4*x^6 - x^5 + 2*x^4 - 2*x^3 - 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 0, 0, 0, 1, 1]~], [89, [-40, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-20, 4, 9, -42, -10, 2, 40, 1, 40, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m369(3,2) m371(-3,2)* 

Field minimum poly (root): x^10 + 3*x^8 - 2*x^7 + 4*x^6 - 5*x^5 - x^4 - 4*x^3 - 3*x^2 - 3*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 1, 0, 1, 1, 1, 0]~], [2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 4, [1, 0, 0, 1, 1, 1, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0]~, 1, 4, [1, 0, 1, 1, 1, 0, 1, 0, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, 1, 2, 0, 1, -2, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m234(-3,2) 

Field minimum poly (root): x^10 + 3*x^8 - 2*x^7 - 3*x^5 - 5*x^4 + 2*x^3 - 4*x^2 + x - 1 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 1, 1, 1, 0, 0, 0, 0]~], [23, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -11, -5, -5, -1, -11, 2, -7, 5, 2]~], [1471, [86, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-326, 38, -411, 364, 696, 505, 627, 44, -87, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s793(-4,3) 

Field minimum poly (root): x^10 + 3*x^8 - x^5 - 6*x^4 - 2*x^3 - 4*x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 0, 0, 0, 1, 1]~], [5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 2, -2, -1, -1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s718(-3,2)* s818(3,2)* 

Field minimum poly (root): x^10 + 5*x^8 - 3*x^7 + 13*x^6 - 6*x^5 + 18*x^4 - 7*x^3 + 8*x^2 + 4*x - 1 (6)
Real ramification: [2]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 1, 0, 0]~, 1, 1, [1, 2, 1, 1, 2, 2, 1, 1, 2, 1]~], [2, [0, 0, 0, 0, 0, 0, 0, 1, 0, 0]~, 4, 1, [1, 2, 2, 2, 2, 2, 2, 2, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3158(5,1)* 

Field minimum poly (root): x^10 + 5*x^8 - x^7 + 10*x^6 - 3*x^5 + 10*x^4 - 13*x^3 + 3*x^2 + 5*x - 1 (5)
Real ramification: [2]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 1, 1, [2, 1, 2, 1, 2, 2, 2, 1, 1, 1]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 2, 2, 1, 1, 1, 2, 2, 1, 0]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 2, 1, 2, 1, -1, -2, -1, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s718(-6,1)* v1368(6,1) 

Field minimum poly (root): x^10 + 6*x^8 - 9*x^7 + 16*x^6 - 20*x^5 + 20*x^4 - 21*x^3 + 10*x^2 - 8*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 1, 1, 0, 0, 1, 1, 0, 1]~, 2, 1, [1, 2, 2, 2, 1, 2, 1, 2, 2, 1]~], [2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 1, 0, 1, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3338(6,1)* 

Field minimum poly (root): x^10 + x^8 - 2*x^7 + 3*x^6 + 2*x^5 + 2*x^4 + x^3 - x^2 + x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 0, 0, 0, -1, 0, 1, -1]~], [503, [-66, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-241, -243, -249, -246, 228, -219, -144, -175, 68, 41]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s870(4,1)* 

Field minimum poly (root): x^10 + x^8 - 2*x^7 - 2*x^6 - 4*x^5 - 6*x^4 - 2*x^3 + 2*x^2 + 4*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m155(5,1)* 

Field minimum poly (root): x^10 + x^8 - 3*x^7 - 3*x^6 + x^5 + 4*x^4 + 5*x^3 + x^2 - x - 1 (6)
Real ramification: [2]
Finite ramification: [[13, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -5, -3, -2, 0, -1, 6, 0, -4, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3320(-4,1) 

Field minimum poly (root): x^10 + x^8 - 3*x^7 - x^6 + 2*x^5 - 10*x^4 + x^3 - 6*x^2 - 1 (6)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3158(-5,1)* 

Field minimum poly (root): x^10 + x^8 - x^7 - 2*x^6 - x^5 - 3*x^4 + x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m253(-3,4) 

Field minimum poly (root): x^10 + x^8 - x^7 - 3*x^6 - x^5 - 6*x^4 - 4*x^3 - 2*x^2 - 3*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[97, [-41, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-26, 16, 17, 36, -25, 42, -6, 33, 41, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1373(-1,3) 

Field minimum poly (root): x^10 - 2*x^8 - 2*x^7 + 2*x^6 + 3*x^5 - 3*x^3 - x^2 + 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[37, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-12, 17, -6, 1, 12, -3, 14, 7, -3, 1]~], [113, [52, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [50, -27, -56, 51, 49, -40, -47, -10, -52, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m011(-3,2) 

Field minimum poly (root): x^10 - 2*x^8 - 2*x^7 + 2*x^6 + 3*x^5 - 3*x^3 - x^2 + 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s544(-2,3)* 

Field minimum poly (root): x^10 - 2*x^8 - 2*x^7 + 3*x^6 + 4*x^5 - 2*x^4 - 5*x^3 + 3*x + 1 (4)
Real ramification: [2]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, 0, 0, -1, 0, -1, 2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m216(4,3) 

Field minimum poly (root): x^10 - 2*x^8 - 2*x^7 + 4*x^6 + 6*x^5 - 6*x^4 - 8*x^3 + x^2 + 4*x + 1 (7)
Real ramification: [2, 4]
Finite ramification: [[2, [0, 0, 0, 1, 1, 0, 1, 1, 0, 1]~, 2, 2, [2, 2, 2, 2, 2, 1, 2, 1, 1, 0]~], [113, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-18, 12, 2, 17, 3, -47, -24, -19, 14, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3302(-2,3)* 

Field minimum poly (root): x^10 - 2*x^8 - 2*x^7 + x^6 + 3*x^5 + x^4 - 5*x^3 - 6*x^2 - x + 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s599(-1,3)* 

Field minimum poly (root): x^10 - 2*x^8 - 2*x^7 - x^6 + 2*x^4 + 2*x^3 - 2*x^2 - 2*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 0, 1, 0, 1, -1, -1]~], [103, [-47, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [29, 5, -24, -11, -31, 47, 12, -15, -9, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m170(-5,2)* 

Field minimum poly (root): x^10 - 2*x^8 - x^7 - 2*x^6 + x^5 + 3*x^4 + 4*x^3 - x^2 + 2*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 0, 1, 0, 1, 0, 1, 0, 1]~, 2, 1, [1, 1, 1, 2, 2, 1, 2, 2, 1, 1]~], [103, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 13, -14, -3, 22, -12, 31, 11, 15, -45]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2380(-1,3)* 

Field minimum poly (root): x^10 - 2*x^8 - x^7 - 2*x^6 + x^5 + 3*x^4 + 4*x^3 - x^2 + 2*x - 1 (6)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 1, 0, 1, 0, 1, 0, 1]~, 2, 1, [1, 1, 1, 2, 2, 1, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2381(1,3) 

Field minimum poly (root): x^10 - 2*x^8 - x^7 - x^6 + 2*x^5 - 4*x^4 - 4*x^3 + 8*x^2 + x - 1 (7)
Real ramification: [1, 3, 4, 6]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0]~, 1, 5, [1, 0, 1, 1, 1, 1, 0, 0, 0, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -1, 0, -1, 0, 1, -1, -1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m288(-2,3)* 

Field minimum poly (root): x^10 - 2*x^9 + 2*x^7 - 4*x^5 + x^4 + 2*x^3 - 3*x^2 + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 1, 1, 0, 1, 0, 0, 0, 0, 0]~, 1, 6, [1, 2, 2, 2, 1, 0, 0, 0, 0, 0]~], [73, [-24, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-15, 24, -5, 8, 34, 19, 22, 34, -29, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m403(2,3) 

Field minimum poly (root): x^10 - 2*x^9 + 2*x^7 - 4*x^5 + x^4 + 2*x^3 - 3*x^2 + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m376(2,3) 

Field minimum poly (root): x^10 - 2*x^9 + 2*x^8 + 2*x^7 - 6*x^6 + 4*x^4 - 8*x^3 - x^2 + 8*x + 4 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 1, 0, 0, 1, 0, 0, 0]~, 3, 1, [1, 2, 2, 1, 1, 1, 1, 1, 1, 0]~], [2, [1, 0, 0, 0, 0, 0, 0, 1, 0, 0]~, 1, 2, [1, 1, 2, 2, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2447(-3,1)* 

Field minimum poly (root): x^10 - 2*x^9 + 2*x^8 + x^7 - x^6 + x^5 + 2*x^4 + x^3 + 2*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 1, 0, 1, 1, 1]~], [4657, [-1552, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -3, 9, -24, 78, -231, 690, -2067, 1550, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2054(-7,1)* 

Field minimum poly (root): x^10 - 2*x^9 + 2*x^8 - 4*x^7 + x^6 + 3*x^3 + 3*x^2 + 3*x + 1 (7)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3317(-3,1) 

Field minimum poly (root): x^10 - 2*x^9 + 2*x^8 - x^7 - 2*x^6 + 3*x^5 - 4*x^4 + 3*x^3 - x^2 + x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m019(4,1) s717(-1,4) 

Field minimum poly (root): x^10 - 2*x^9 + 2*x^8 - x^7 - 4*x^6 + 12*x^5 - 13*x^4 + 4*x^3 + 7*x^2 - 13*x + 6 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2086(1,2)* 

Field minimum poly (root): x^10 - 2*x^9 + 3*x^8 - 2*x^7 + 3*x^6 - 3*x^5 + x^4 - 2*x^3 - x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s889(-2,3) 

Field minimum poly (root): x^10 - 2*x^9 + 3*x^8 - 2*x^7 - 4*x^6 - x^5 - 2*x^4 - 7*x^3 + 2*x^2 + 4*x - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 1, 1, 1, 0, 1, 1, 0, 0]~], [3, [0, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 2, 2, [2, 3, 3, 3, 3, 3, 2, 2, 1, 0]~], [7, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 1, -1, -3, 0, 0, 1, -2, 1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3525(3,1)* 

Field minimum poly (root): x^10 - 2*x^9 + 3*x^8 - 3*x^7 - x^6 - x^4 - 3*x^3 + 3*x^2 - 2*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[11, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, -3, 5, -5, -1, -5, 5, -3, 1, 0]~], [11, [1, -5, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 3, -5, 2, 3, 2, -5, 3, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m115(5,2) 

Field minimum poly (root): x^10 - 2*x^9 + 3*x^8 - x^7 - x^6 + 2*x^5 - x^3 + 3*x^2 - 2*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s871(3,2)* 

Field minimum poly (root): x^10 - 2*x^9 + 4*x^7 - 7*x^5 - x^4 + 7*x^3 + 3*x^2 - 2*x - 1 (4)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 0, 1, 1, 1, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 1, 0, 1, 1, 0]~], [643, [-133, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-29, 140, -115, -320, 249, 292, -109, 62, 131, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s890(-2,3) 

Field minimum poly (root): x^10 - 2*x^9 + 4*x^7 - 8*x^6 + 10*x^5 + 9*x^4 - 16*x^3 - 12*x^2 + 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2850(4,1) 

Field minimum poly (root): x^10 - 2*x^9 + 4*x^8 - 6*x^7 + 5*x^6 - 5*x^5 + x^4 - x^2 + x + 1 (4)
Real ramification: [1]
Finite ramification: [[5, [7, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, -1, 1, 0, 0, 0, 0, 2, 1, 0]~], [19, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -6, -4, -7, 5, 8, -9, 9, 4, 1]~], [23, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, -1, 1, 0, -5, 10, 7, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3244(-3,1) v3246(-3,1) 

Field minimum poly (root): x^10 - 2*x^9 + 5*x^7 - 5*x^6 + x^5 - x^4 + 3*x^3 + 2*x^2 - 6*x + 3 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 1, 1, 0, 0, 1, 0, 0, 1]~, 2, 2, [1, 2, 1, 1, 1, 2, 1, 0, 0, 0]~], [241, [64, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [114, -29, 57, -95, 74, 29, 71, -49, 109, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2099(-1,3)* 

Field minimum poly (root): x^10 - 2*x^9 + 5*x^8 - 3*x^7 + 4*x^6 + 6*x^5 - 4*x^4 + 7*x^3 - 2*x^2 - 4*x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0]~, 1, 4, [1, 1, 1, 0, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s758(-3,2) 

Field minimum poly (root): x^10 - 2*x^9 + 6*x^7 - 8*x^6 - x^5 + 12*x^4 - 3*x^3 - 6*x^2 + x + 1 (7)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[11, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, 3, -1, 4, 1, 4, 4, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s489(-1,2) 

Field minimum poly (root): x^10 - 2*x^9 + 9*x^8 - 16*x^7 + 32*x^6 - 46*x^5 + 38*x^4 - 19*x^3 + 3*x - 2 (6)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 0, 0, 0, 1, 1, 1, 0, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 1, 0, 1, 0, 0, 1, 0, 0]~], [17, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 6, -1, -7, 5, 3, 6, -5, -2, -5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3305(1,3)* 

Field minimum poly (root): x^10 - 2*x^9 + x^7 - 4*x^6 + 2*x^5 - x^4 - 3*x^3 - 2*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[53, [71, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 3, -9, 18, -5, 19, -13, -10, -19, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m170(-3,4) 

Field minimum poly (root): x^10 - 2*x^9 + x^7 - 4*x^6 + x^5 - 4*x^3 + x^2 - x - 2 (5)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1, 1, 1, 0, 1]~], [3, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, -1, 1, 0, 0, -1, -1, -1]~], [83, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [28, -38, 12, 32, -1, -24, 3, 38, -1, 17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3126(3,1)* 

Field minimum poly (root): x^10 - 2*x^9 + x^8 + 2*x^7 - 2*x^6 + x^5 - 2*x^4 + 5*x^3 - 5*x^2 + 3*x - 1 (6)
Real ramification: [2]
Finite ramification: [[17, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 4, 8, -3, 1, 0, -2, 4, -3, 1]~], [659, [162, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [240, 206, -103, -219, -19, -187, -247, 209, -164, 1]~], [659, [165, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 28, -132, -111, -223, 237, -297, -122, -167, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2916(4,1)* 

Field minimum poly (root): x^10 - 2*x^9 + x^8 + 2*x^7 - 2*x^6 + x^5 - 2*x^4 + 5*x^3 - 5*x^2 + 3*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[19, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -9, -1, 8, -7, -2, 0, 9, 2, 1]~], [389, [121, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [45, -55, 84, 54, 186, 156, 108, 102, -123, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2739(2,3) 

Field minimum poly (root): x^10 - 2*x^9 + x^8 + x^7 - 2*x^6 + 4*x^5 - 3*x^4 + 1 (4)
Real ramification: [2]
Finite ramification: [[1597, [-309, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-522, 603, 157, 507, -479, 200, 42, 641, 307, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3529(4,1) 

Field minimum poly (root): x^10 - 2*x^9 + x^8 - 2*x^7 - 2*x^6 + 9*x^5 - 4*x^4 + 8*x^3 - 7*x^2 + 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2568(-3,1) 

Field minimum poly (root): x^10 - 2*x^9 + x^8 - 2*x^7 - x^6 + x^5 + 10*x^4 - 6*x^2 + 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[109, [-25, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [32, -52, -53, -47, 12, 33, -53, -12, 19, 20]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2636(4,3)* 

Field minimum poly (root): x^10 - 2*x^9 + x^8 - 4*x^6 + 6*x^5 - 3*x^4 + x^3 + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[3319, [317, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1045, -935, -701, 71, 248, 958, -1402, 1562, -334, 33]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m082(2,3)* 

Field minimum poly (root): x^10 - 2*x^9 + x^8 - 6*x^6 + 11*x^5 - 8*x^4 + 6*x^3 - 3*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1316(4,1)* 

Field minimum poly (root): x^10 - 2*x^9 + x^8 - 6*x^6 + 13*x^5 - 11*x^4 + 5*x^3 + 3*x^2 - 4*x + 1 (8)
Real ramification: [2, 5, 6]
Finite ramification: [[1117, [244, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-206, -283, 285, -404, -534, 135, 4, -293, -246, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m358(3,2)* 

Field minimum poly (root): x^10 - 2*x^9 + x^8 - 6*x^6 + 13*x^5 - 11*x^4 + 5*x^3 + 3*x^2 - 4*x + 1 (8)
Real ramification: [3, 4, 6]
Finite ramification: [[41, [19, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [13, -16, 1, 11, 1, -8, -15, -10, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s423(-3,2) 

Field minimum poly (root): x^10 - 2*x^9 + x^8 - x^6 - 2*x^5 - x^4 - 3*x^3 + x^2 - x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 2, 2, 2, 1, 1, 1, 1, 0, 0]~], [1913, [75, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [122, 817, -631, 932, 845, -396, -854, 21, -160, 44]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m342(2,3)* 

Field minimum poly (root): x^10 - 2*x^9 + x^8 - x^7 + 2*x^6 - 2*x^5 - 3*x^4 + 4*x^3 + x^2 + x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 1, 1, 0, -2, -1, 0, -1, 2]~], [17, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -3, 8, 7, 8, 4, -3, 3, 6, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s417(4,1) 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^6 - x^4 + x^3 - 3*x^2 - 4*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[37, [-12, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -11, 7, -14, -7, -4, 5, -8, 6, -14]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s884(3,2)* 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^7 + 3*x^6 + 5*x^5 - x^4 - 2*x^3 - 4*x^2 + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s850(-1,3) 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^8 + 2*x^7 + 6*x^6 - 5*x^5 - 3*x^4 + 15*x^3 - 9*x^2 - 6*x + 4 (8)
Real ramification: [2, 4]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1, 0, 0, 0, 0]~, 1, 5, [0, 0, 1, 0, 1, 1, 0, 0, 0, 0]~], [47, [-12, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 4, -10, -19, 11, 12, -19, 1, -13, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2339(2,3) 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^8 + 2*x^7 + 6*x^6 - 5*x^5 - 3*x^4 + 15*x^3 - 9*x^2 - 6*x + 4 (8)
Real ramification: [1, 4, 5]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1, 0, 0, 0, 0]~, 1, 5, [0, 0, 1, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s915(2,3)* 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^8 + 3*x^7 + 7*x^6 - 5*x^5 - 9*x^4 + 4*x^3 + 4*x^2 + x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2744(3,2)* 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^8 + 6*x^7 - x^6 - 5*x^5 + x^4 + 3*x^3 + x^2 - 2*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[3, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [-1, 1, -1, -1, -1, -1, 0, 1, 1, 0]~], [8693, [-1333, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3965, 3518, 1333, -3201, -4150, 3538, 1633, 849, 1331, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2604(2,3) 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^8 + 7*x^7 - 9*x^5 - x^4 + 10*x^3 - 4*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 0, 0, 1, 1, 0]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, -2, 2, 2, -1, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s451(-4,1)* 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^8 + 9*x^7 - 4*x^6 - 11*x^5 + 12*x^4 + 3*x^3 - 7*x^2 + x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2841(2,3)* 

Field minimum poly (root): x^10 - 2*x^9 - 2*x^8 + 9*x^7 - 6*x^6 - 10*x^5 + 12*x^4 + x^3 - 3*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2754(3,2)* 

Field minimum poly (root): x^10 - 2*x^9 - 3*x^7 + x^6 + 6*x^5 + 2*x^4 + 8*x^3 + x^2 + 2*x + 1 (6)
Real ramification: [1, 3]
Finite ramification: [[23, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, 0, -9, -9, -7, -8, -10, -11, -5, 1]~], [37, [-12, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-17, 18, -7, -15, -12, 0, -13, -16, 5, 10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3438(4,1) 

Field minimum poly (root): x^10 - 2*x^9 - 3*x^8 + 10*x^7 - 2*x^6 - 13*x^5 + 2*x^4 + 16*x^3 - 7*x^2 - 2*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2656(3,1) 

Field minimum poly (root): x^10 - 2*x^9 - 3*x^8 + 10*x^7 - 2*x^6 - 18*x^5 + 7*x^4 + 10*x^3 - 4*x^2 - x + 1 (8)
Real ramification: [2, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s424(-1,3) 

Field minimum poly (root): x^10 - 2*x^9 - 3*x^8 + 6*x^7 + 2*x^6 - x^5 - 6*x^4 + x^3 + 4*x^2 - 2*x - 1 (7)
Real ramification: [1, 3, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s313(4,1)* 

Field minimum poly (root): x^10 - 2*x^9 - 3*x^8 + 6*x^7 + 5*x^6 - 8*x^5 - 9*x^4 + 13*x^3 + 4*x^2 - 6*x - 2 (7)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2371(-1,3)* 

Field minimum poly (root): x^10 - 2*x^9 - 3*x^8 + 7*x^7 + 3*x^6 - 16*x^5 + 6*x^4 + 20*x^3 - 13*x^2 - 6*x + 4 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 2, 1, 1, 1, 2, 1, 0]~], [71, [13, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, 26, 7, -32, 15, 19, 11, -34, 28, -7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s480(-2,3) s547(4,1)* 

Field minimum poly (root): x^10 - 2*x^9 - 3*x^8 + 7*x^7 + 3*x^6 - 16*x^5 + 6*x^4 + 20*x^3 - 13*x^2 - 6*x + 4 (8)
Real ramification: [1, 2, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m390(-2,3) 

Field minimum poly (root): x^10 - 2*x^9 - 3*x^8 + 9*x^7 - 14*x^5 + 7*x^4 + 7*x^3 - 6*x^2 - x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m081(3,2) 

Field minimum poly (root): x^10 - 2*x^9 - 4*x^8 + 10*x^7 + 5*x^6 - 15*x^5 - 3*x^4 + 12*x^3 - 4*x^2 - 2*x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s394(5,1) 

Field minimum poly (root): x^10 - 2*x^9 - 4*x^8 + 4*x^7 + 6*x^6 - 4*x^5 - 2*x^4 + 4*x^3 - 3*x^2 - 2*x + 1 (7)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s878(-1,3)* s879(-4,1)* 

Field minimum poly (root): x^10 - 2*x^9 - 4*x^8 + 8*x^7 + 8*x^6 - 8*x^5 - 15*x^4 + 8*x^3 + 5*x^2 - 6*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 0, 1, 1, 1, 1, 0, 0, 1, 1]~, 4, 1, [2, 1, 2, 1, 2, 1, 1, 1, 1, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 1, 0, 0]~, 1, 3, [2, 1, 2, 2, 2, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s667(-6,1) 

Field minimum poly (root): x^10 - 2*x^9 - 4*x^8 + 8*x^7 + 9*x^6 - 23*x^5 - 4*x^4 + 29*x^3 - 5*x^2 - 6*x + 1 (8)
Real ramification: [3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1858(-1,3)* 

Field minimum poly (root): x^10 - 2*x^9 - 4*x^8 + 9*x^7 + 2*x^6 - 13*x^5 + 7*x^4 + 6*x^3 - 8*x^2 - x + 2 (8)
Real ramification: [2, 4, 5, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 0, 1, 0, 0, 1]~], [13, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 3, -5, 5, -5, -6, 6, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m322(-5,2) 

Field minimum poly (root): x^10 - 2*x^9 - 4*x^8 + 9*x^7 + 6*x^6 - 18*x^5 - 2*x^4 + 17*x^3 - 2*x^2 - 6*x - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 0, 0, 0, 1, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 0, 0, 0, 1, 1, 0]~], [61, [12, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -6, -20, -2, 0, 29, -7, -19, -14, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3200(1,3) 

Field minimum poly (root): x^10 - 2*x^9 - 4*x^8 + 9*x^7 - 3*x^6 - 7*x^5 + 15*x^4 - 2*x^3 + 12*x^2 - 12*x - 3 (5)
Real ramification: [1, 3]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 1, 2, 2, 1, 1, 2, 2, 1]~], [7829, [-3362, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2873, -2113, -1801, 3031, 2001, -1009, 602, -3261, 664, 1045]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3219(1,3)* 

Field minimum poly (root): x^10 - 2*x^9 - 5*x^8 + 10*x^7 + 3*x^6 - 9*x^5 + 8*x^4 - 6*x^3 - 4*x^2 + x - 2 (8)
Real ramification: [1, 4, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3305(5,1)* 

Field minimum poly (root): x^10 - 2*x^9 - 5*x^8 + 10*x^7 + 3*x^6 - 9*x^5 + 8*x^4 - 6*x^3 - 4*x^2 + x - 2 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3470(4,1) 

Field minimum poly (root): x^10 - 2*x^9 - 5*x^8 + 10*x^7 + 3*x^6 - 9*x^5 + 8*x^4 - 6*x^3 - 4*x^2 + x - 2 (8)
Real ramification: [1, 3, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3469(4,1) 

Field minimum poly (root): x^10 - 2*x^9 - 5*x^8 + 10*x^7 + 6*x^6 - 13*x^5 + x^4 + 4*x^3 - 2*x^2 - 3*x - 1 (7)
Real ramification: [1, 2, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2238(-5,2) 

Field minimum poly (root): x^10 - 2*x^9 - 5*x^8 + 10*x^7 + 8*x^6 - 13*x^5 - 9*x^4 + 3*x^3 + 8*x^2 + 2*x - 2 (8)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 1, 1, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2944(-2,3)* 

Field minimum poly (root): x^10 - 2*x^9 - 5*x^8 + 10*x^7 + 8*x^6 - 19*x^5 - 2*x^4 + 17*x^3 - 4*x^2 - 6*x + 1 (7)
Real ramification: [4, 5]
Finite ramification: [[19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, -2, 1, -8, -3, 8, 0, -5, 0, 1]~], [89, [-22, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -40, -34, 26, -23, 16, -32, -10, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s349(-4,3) 

Field minimum poly (root): x^10 - 2*x^9 - 5*x^8 + 10*x^7 + 9*x^6 - 13*x^5 - 12*x^4 + x^3 + 10*x^2 + 6*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 0, 1, 0, 0, 1, 1]~], [29, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [14, 4, -3, -2, 5, 9, 0, -5, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m023(-6,1) 

Field minimum poly (root): x^10 - 2*x^9 - 6*x^8 + 11*x^7 + 14*x^6 - 23*x^5 - 10*x^4 + 15*x^3 - 5*x^2 + 8*x - 1 (7)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 0, 1, 1, 1, 0, 1, 1]~, 2, 2, [2, 2, 1, 2, 1, 1, 1, 2, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0]~, 1, 5, [1, 1, 1, 1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3217(-1,4)* 

Field minimum poly (root): x^10 - 2*x^9 - 6*x^8 + 11*x^7 + 14*x^6 - 23*x^5 - 10*x^4 + 15*x^3 - 5*x^2 + 8*x - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3207(1,4) 

Field minimum poly (root): x^10 - 2*x^9 - 6*x^8 + 11*x^7 + 14*x^6 - 23*x^5 - 10*x^4 + 15*x^3 - 5*x^2 + 8*x - 1 (7)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3213(-1,4)* 

Field minimum poly (root): x^10 - 2*x^9 - 6*x^8 + 15*x^7 + 6*x^6 - 30*x^5 + 9*x^4 + 14*x^3 - 8*x^2 - x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[271, [78, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-66, 46, 41, -115, -54, 42, -63, 1, -80, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s349(-5,2)* 

Field minimum poly (root): x^10 - 2*x^9 - 6*x^8 + 5*x^7 + 23*x^6 - 30*x^4 - 11*x^3 + 11*x^2 + 7*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[53, [-24, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [13, 5, 25, 3, 2, -10, 22, -4, 18, 11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3226(-3,2)* 

Field minimum poly (root): x^10 - 2*x^9 - x^8 + 2*x^7 + 2*x^5 + x^4 - 3*x^3 + x^2 - x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 1, -1, -1, 0, 0, -1, 0, 1]~], [19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, -4, 7, 5, 2, 0, 0, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s899(3,2) 

Field minimum poly (root): x^10 - 2*x^9 - x^8 + 2*x^7 + 6*x^6 - 8*x^5 - 3*x^4 + 6*x^3 + x^2 - 3*x - 1 (5)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3245(3,1)* 

Field minimum poly (root): x^10 - 2*x^9 - x^8 + 3*x^7 - 3*x^6 + 2*x^5 - x^4 + 5*x^3 - 5*x^2 - 2*x + 4 (6)
Real ramification: [2, 3]
Finite ramification: [[7, [8, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [6, 5, 2, 3, 6, 5, 6, 1, 6, 6]~], [41, [13, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [20, -14, -4, -14, 4, -6, -20, 16, -10, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s349(-1,4) 

Field minimum poly (root): x^10 - 2*x^9 - x^8 + 4*x^7 - 4*x^6 + 6*x^5 - 9*x^4 + 8*x^3 - 2*x^2 - x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 0, 1, 1, 1, 0]~], [241, [28, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-43, -119, 30, -18, 95, -29, -111, 116, -30, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s238(1,4)* 

Field minimum poly (root): x^10 - 2*x^9 - x^8 + 5*x^7 - 2*x^6 - 6*x^5 + 6*x^4 + x^3 - 4*x^2 + 2*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0]~, 1, 4, [1, 1, 1, 0, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m026(4,1) 

Field minimum poly (root): x^10 - 2*x^9 - x^8 + 7*x^7 + x^6 - 6*x^5 - 6*x^4 + 7*x^3 + 4*x^2 - 5*x + 1 (7)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3320(4,1)* 

Field minimum poly (root): x^10 - 3*x^7 + 2*x^6 + 5*x^5 + 2*x^4 - 4*x^3 - 2*x^2 + 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 3, 1, [1, 2, 1, 2, 1, 1, 1, 2, 1, 0]~], [857, [-337, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-381, 32, 406, 131, 37, -96, -13, -411, 340, 10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3200(4,1) 

Field minimum poly (root): x^10 - 3*x^8 + 2*x^6 - x^5 + 3*x^4 + 3*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m116(-5,3) 

Field minimum poly (root): x^10 - 3*x^8 + 5*x^6 - 4*x^4 - x^3 + 2*x^2 - 1 (6)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 0, 0, 1, 1, 1, 0]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 2, 0, -3, -3, 2, 2, 1, 2, 1]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 3, 4, -6, 5, -6, -5, 6, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3266(4,1)* 

Field minimum poly (root): x^10 - 3*x^8 - 2*x^7 + 5*x^6 + 3*x^5 - 5*x^4 - 3*x^3 + 4*x^2 + 2*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 4, [1, 0, 0, 0, 0, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m141(-5,2)* 

Field minimum poly (root): x^10 - 3*x^8 - 2*x^7 - x^6 + 7*x^5 + 11*x^4 + x^3 - 9*x^2 - 7*x - 1 (7)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, -1, 1, 0, -1, -1, -1, -1, -1]~], [17, [8, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, -4, 5, 4, 7, -5, 6, -7, 3, -7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3427(-3,2)* 

Field minimum poly (root): x^10 - 3*x^8 - 3*x^7 + 7*x^6 - 15*x^4 + 28*x^3 - 16*x^2 + 16*x - 16 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 1, 1, 1, 1, 1, 0]~, 2, 1, [2, 2, 1, 1, 1, 2, 2, 2, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 1, 1, 0, 0, 0, 0]~], [2, [0, 0, 0, 1, 1, 0, 0, 1, 0, 1]~, 1, 2, [1, 1, 1, 2, 2, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3261(-6,1)* 

Field minimum poly (root): x^10 - 3*x^8 - 3*x^7 - x^6 + 8*x^5 + 8*x^4 - x^3 - 4*x^2 - 5*x - 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m223(4,1)* 

Field minimum poly (root): x^10 - 3*x^8 - x^7 + 2*x^6 + 2*x^5 + x^4 - x^3 - 2*x^2 + x + 1 (5)
Real ramification: [1, 4]
Finite ramification: [[3, [-1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [-1, -1, 1, -1, -1, 1, -1, 1, 0, 0]~], [29, [-12, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, 13, -6, 2, -12, -6, 9, -4, 12, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m179(3,4) 

Field minimum poly (root): x^10 - 3*x^8 - x^7 + 2*x^6 + 2*x^5 + x^4 - x^3 - 2*x^2 + x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[5857, [-2727, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-436, 2749, -1249, 573, -2459, -1165, 747, -1864, 2727, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m178(3,4) 

Field minimum poly (root): x^10 - 3*x^8 - x^7 + 3*x^6 - 3*x^2 - 1 (6)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 0, 1, 0, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 1, 1, 1, 1, 0]~], [43, [21, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 4, 14, -15, 13, -17, 3, 8, -21, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s793(4,1) 

Field minimum poly (root): x^10 - 3*x^8 - x^7 + 5*x^6 - 4*x^4 + 5*x^3 + x^2 - 4*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3056(1,3)* 

Field minimum poly (root): x^10 - 3*x^9 + 2*x^8 + 2*x^7 - 10*x^5 + 6*x^4 + 4*x^3 - 4*x^2 + 2*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3056(-1,3)* 

Field minimum poly (root): x^10 - 3*x^9 + 2*x^8 + 3*x^7 - 8*x^6 + 15*x^5 - 5*x^4 + x^2 - 3*x + 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2200(3,2)* 

Field minimum poly (root): x^10 - 3*x^9 + 2*x^8 + 6*x^7 - 11*x^6 + 9*x^5 + 9*x^4 - 12*x^3 + 8*x^2 + 4*x - 4 (6)
Real ramification: [2, 4]
Finite ramification: [[2, [0, 1, 1, 0, 0, 1, 0, 1, 0, 1]~, 2, 1, [1, 1, 1, 1, 2, 2, 1, 1, 1, 1]~], [3, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 0, 0, 1, 0, 1, -1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2870(3,2)* v3045(-2,3) 

Field minimum poly (root): x^10 - 3*x^9 + 2*x^8 + 7*x^7 - 7*x^6 - 11*x^5 + 9*x^4 + 7*x^3 - 4*x^2 - 4*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 1, 0, 1, 0, 0, 0, 1]~, 4, 1, [1, 2, 2, 1, 2, 1, 1, 0, 0, 0]~], [2, [0, 1, 1, 1, 0, 0, 1, 1, 1, 1]~, 3, 1, [1, 1, 1, 1, 2, 1, 2, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3399(-3,2)* 

Field minimum poly (root): x^10 - 3*x^9 + 2*x^8 + x^7 + x^6 - 3*x^5 - 11*x^4 + 33*x^3 - 35*x^2 + 17*x - 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s730(-3,2)* 

Field minimum poly (root): x^10 - 3*x^9 + 2*x^8 - 4*x^7 + 5*x^6 - 4*x^5 + 6*x^4 - 5*x^3 + 2*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[7, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 3, -1, 1, -1, 0]~], [29, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, -2, 14, 4, -8, -1, 7, -13, 9, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2772(1,3) 

Field minimum poly (root): x^10 - 3*x^9 + 2*x^8 - 4*x^7 + 6*x^6 + 10*x^5 - 13*x^4 + 8*x^3 - 13*x^2 + x - 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 0, 1, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 0, 1, 1, 0, 1, 0]~], [13, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 6, -6, 5, -2, 4, -5, -1, 0, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3111(2,3)* 

Field minimum poly (root): x^10 - 3*x^9 + 3*x^8 + x^7 - 2*x^6 - 2*x^5 + 2*x^4 - x^3 - 3*x^2 - 3*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 1, 0, 0, 0, 1, 1, 1, 0]~, 2, 1, [1, 2, 2, 2, 2, 2, 2, 1, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [2, 1, 2, 2, 1, 1, 2, 2, 1, 0]~], [5, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, -1, 1, 2, 1, 1, 2, 0]~], [13, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -3, 5, -2, -3, -3, 1, -6, 2, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3313(-4,3) 

Field minimum poly (root): x^10 - 3*x^9 + 3*x^8 - 2*x^7 + 2*x^6 - 3*x^5 + 4*x^4 - 2*x^3 + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[29, [12, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-12, 1, 12, -6, -4, -12, 6, 9, 14, 1]~], [47, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-16, -21, -7, 14, 19, 23, 7, 3, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m297(-4,3) 

Field minimum poly (root): x^10 - 3*x^9 + 3*x^8 - 5*x^6 + 6*x^4 + x^3 - 4*x^2 + 3*x + 2 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s938(-3,2)* 

Field minimum poly (root): x^10 - 3*x^9 + 3*x^8 - x^7 - 3*x^6 + 7*x^5 - 7*x^4 + 4*x^3 - x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, 2, 2, 2, 5, 3, -4, -4, 1]~], [13, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -4, 2, 1, -4, -1, -1, 0, -5, 1]~], [13, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 6, 2, -5, 5, -5, -5, 3, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3026(-1,4)* v3457(-1,3) 

Field minimum poly (root): x^10 - 3*x^9 + 4*x^8 - 11*x^6 + 12*x^5 - 8*x^3 + 3*x^2 - x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 1, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s908(-2,3)* v3511(1,2) 

Field minimum poly (root): x^10 - 3*x^9 + 4*x^8 - 4*x^7 + 2*x^6 - 16*x^4 + 16*x^3 + 11*x^2 - 10*x - 2 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 0, 1, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2238(5,1) 

Field minimum poly (root): x^10 - 3*x^9 + 4*x^8 - 9*x^6 + 16*x^5 - 15*x^4 + 6*x^3 + 2*x^2 - 4*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[167, [-77, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [15, -53, 61, -35, 78, 1, 9, 25, 74, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s173(-2,3) 

Field minimum poly (root): x^10 - 3*x^9 + 4*x^8 - x^7 - 3*x^6 + 4*x^5 - 4*x^4 + 5*x^3 - 6*x^2 + 3*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3185(-2,3) 

Field minimum poly (root): x^10 - 3*x^9 + 5*x^8 - 8*x^7 + 8*x^6 - 3*x^5 - 3*x^4 + 5*x^3 - 2*x^2 + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, -1, 2, 0, -1, -2, -2, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3139(-3,4)* v3427(1,3)* 

Field minimum poly (root): x^10 - 3*x^9 + 5*x^8 - x^7 - 10*x^6 + 15*x^5 - 5*x^4 - 10*x^3 + 11*x^2 - 2 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 1, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s896(1,3) 

Field minimum poly (root): x^10 - 3*x^9 + 6*x^8 - 10*x^7 + 13*x^6 - 12*x^5 + 10*x^4 - 8*x^3 + 7*x^2 - 6*x + 3 (3)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s891(1,3) s892(4,1) 

Field minimum poly (root): x^10 - 3*x^9 + 7*x^7 - 2*x^6 - 11*x^5 + 2*x^4 + 12*x^3 + x^2 - 8*x - 4 (4)
Real ramification: [2]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, 1, -1, 1, -2, 1, 1, -1, -1]~], [23, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -4, 2, 5, 9, 1, 11, 8, -4, 4]~], [577, [213, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [277, 255, -245, -183, 222, -123, 72, -154, -215, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s348(-5,1)* 

Field minimum poly (root): x^10 - 3*x^9 + 7*x^7 - 2*x^6 - 11*x^5 + 2*x^4 + 12*x^3 + x^2 - 8*x - 4 (4)
Real ramification: [2]
Finite ramification: [[5, [2, -1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, 0, -1, -2, -2, 2, 1, -2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m368(1,3)* m370(-1,3) 

Field minimum poly (root): x^10 - 3*x^9 + 7*x^7 - 8*x^6 + 5*x^5 + 6*x^4 - 17*x^3 + 3*x^2 + 8*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s763(-4,3)* 

Field minimum poly (root): x^10 - 3*x^9 + 7*x^8 - 10*x^7 + 12*x^6 - 8*x^5 + 3*x^4 + 4*x^3 - 4*x^2 + 3*x - 1 (5)
Real ramification: [2]
Finite ramification: [[229, [-32, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-92, -3, -93, 90, -75, -89, -88, 20, 29, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3314(3,1)* 

Field minimum poly (root): x^10 - 3*x^9 + 7*x^8 - 6*x^7 + 7*x^6 - 7*x^5 + 12*x^4 - 5*x^3 - 6*x^2 + 5*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, -1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 1, 2, 2, 3, 3, 1, 1, 1, 0]~], [139, [24, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-28, 13, 5, -13, 2, 46, -20, -39, -29, 6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s527(5,1)* 

Field minimum poly (root): x^10 - 3*x^9 + x^8 + 4*x^7 - 2*x^6 - 2*x^5 + x^3 - x^2 + x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[17, [8, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -6, 7, -5, 7, 1, 6, 4, 6, 1]~], [53, [-21, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -20, -11, 7, 18, 6, 13, 8, 18, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s593(-4,3)* 

Field minimum poly (root): x^10 - 3*x^9 + x^8 + 7*x^7 - 11*x^6 + 2*x^5 + 10*x^4 - 10*x^3 - x^2 + 4*x - 1 (8)
Real ramification: [2, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3080(5,2) 

Field minimum poly (root): x^10 - 3*x^9 - 2*x^8 + 12*x^7 - 3*x^6 - 11*x^5 - x^4 + 10*x^3 + 4*x^2 - x - 1 (3)
Real ramification: [1]
Finite ramification: [[137, [65, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, -25, 39, -61, -30, 41, 63, 35, 3, 6]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3454(-3,2) 

Field minimum poly (root): x^10 - 3*x^9 - 2*x^8 + 12*x^7 - 3*x^6 - 11*x^5 - x^4 + 10*x^3 + 4*x^2 - x - 1 (3)
Real ramification: [1, 2]
Finite ramification: [[3, [1, -1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 2, 1, 1, 2, 1, 3, 2, 1, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, -2, 2, 2, -2, 1, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3453(-3,2) 

Field minimum poly (root): x^10 - 3*x^9 - 2*x^8 + 12*x^7 - 3*x^6 - 12*x^5 + x^4 + 5*x^3 + 6*x^2 - 2*x - 4 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2944(-4,3)* 

Field minimum poly (root): x^10 - 3*x^9 - 2*x^8 + 14*x^7 - 3*x^6 - 34*x^5 + 20*x^4 + 30*x^3 - 11*x^2 - 5*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 1, 1, 0, 1, 0, 1]~, 2, 1, [1, 1, 2, 1, 1, 1, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3184(6,1)* 

Field minimum poly (root): x^10 - 3*x^9 - 2*x^8 + 5*x^7 + 8*x^6 - 3*x^4 - 10*x^3 - 9*x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 2, 1, 2, 1, 1, 1, 0]~], [3, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 1, 1, 1, -1, -1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3412(4,1)* 

Field minimum poly (root): x^10 - 3*x^9 - 3*x^8 + 14*x^7 - 2*x^6 - 15*x^5 + 5*x^4 + 2*x^2 + x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, -2, -1, 2, 1, -1, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m015(-5,1)* 

Field minimum poly (root): x^10 - 3*x^9 - 3*x^8 + 15*x^7 - 6*x^6 - 16*x^5 + 19*x^4 - 2*x^3 - 10*x^2 + 5*x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3165(-4,1) 

Field minimum poly (root): x^10 - 3*x^9 - 4*x^8 + 14*x^7 + 14*x^6 - 36*x^5 - 24*x^4 + 48*x^3 + 8*x^2 - 14*x - 3 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 0, 0, 0, -1, -1, -1, 0, 1]~], [31, [-14, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -8, -10, -13, 3, 5, 6, -5, 11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s350(7,1)* 

Field minimum poly (root): x^10 - 3*x^9 - x^8 + 10*x^7 - 2*x^6 - 16*x^5 + 7*x^4 + 12*x^3 - 4*x^2 - 3*x + 1 (5)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 1, 1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s719(-7,1) 

Field minimum poly (root): x^10 - 3*x^9 - x^8 + 10*x^7 - 7*x^6 - 13*x^5 + 19*x^4 + 2*x^3 - 15*x^2 + 4*x + 4 (6)
Real ramification: [2, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2840(-4,1) v3144(5,1)* 

Field minimum poly (root): x^10 - 3*x^9 - x^8 + 10*x^7 - x^6 - 15*x^5 + 2*x^4 + 12*x^3 - x^2 - 4*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m385(5,2) s688(4,1)* 

Field minimum poly (root): x^10 - 3*x^9 - x^8 + 12*x^7 - 9*x^6 - 12*x^5 + 15*x^4 + 3*x^3 - 7*x^2 - x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, -3, 1, -2, -6, 6, 1, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m400(3,1)* 

Field minimum poly (root): x^10 - 4*x^7 - 2*x^6 + 2*x^5 + 5*x^4 + x^3 - 5*x^2 + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m400(1,3) 

Field minimum poly (root): x^10 - 4*x^8 + 13*x^6 - x^5 - 12*x^4 + 8*x^3 + 9*x^2 - 3*x + 1 (1)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 0, 1, 0, 1, 1, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 0, -1, 1, 0, -1, 0, 0, -1]~], [7, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -3, -2, -3, -1, 2, 2, -3, -3, 1]~], [79, [26, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-26, -24, 11, 23, -6, -34, 1, 1, 9, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2274(1,3)* 

Field minimum poly (root): x^10 - 4*x^8 - 2*x^7 + 5*x^6 + 6*x^5 - 6*x^4 - 6*x^3 + 6*x^2 + 2*x - 1 (7)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 2, 0, 1, -2, 1, 0, 1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3431(-4,1)* 

Field minimum poly (root): x^10 - 4*x^8 - 2*x^7 + 5*x^6 + 6*x^5 - 6*x^4 - 6*x^3 + 6*x^2 + 2*x - 1 (7)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m249(3,1) 

Field minimum poly (root): x^10 - 4*x^8 - 5*x^7 + 5*x^6 + 19*x^5 - 2*x^4 - 21*x^3 + x^2 + 6*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s394(5,2) 

Field minimum poly (root): x^10 - 4*x^8 - 5*x^7 + 5*x^6 + 19*x^5 - 2*x^4 - 21*x^3 + x^2 + 6*x - 1 (9)
Real ramification: [2, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m006(-5,2)* 

Field minimum poly (root): x^10 - 4*x^8 - x^7 + 7*x^6 - 6*x^4 + 6*x^3 + 5*x^2 - 5*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3352(-1,3)* 

Field minimum poly (root): x^10 - 4*x^8 - x^7 + 8*x^6 - 7*x^4 + 2*x^3 + 3*x^2 - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 0, 0, 1, 1, 0]~], [19, [-8, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, -5, -1, 7, -3, 2, 6, 5, -8, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2909(-3,2)* 

Field minimum poly (root): x^10 - 4*x^8 - x^7 - 2*x^6 + 7*x^5 + 5*x^4 - 9*x^3 + 26*x^2 - 12*x + 8 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(4,1)* 

Field minimum poly (root): x^10 - 4*x^9 + 15*x^7 - 11*x^6 - 15*x^5 + 20*x^4 + 3*x^3 - 11*x^2 + x + 2 (7)
Real ramification: [3, 4, 5, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1, 1, 0, 0, 1]~], [2, [1, 1, 1, 0, 1, 1, 1, 0, 0, 1]~, 1, 9, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m149(5,2) 

Field minimum poly (root): x^10 - 4*x^9 + 15*x^7 - 11*x^6 - 15*x^5 + 20*x^4 + 3*x^3 - 11*x^2 + x + 2 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: m146(5,2) 

Field minimum poly (root): x^10 - 4*x^9 + 16*x^7 - 11*x^6 - 23*x^5 + 24*x^4 + 14*x^3 - 20*x^2 - 3*x + 2 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 1, 0, 1, 0, 0]~], [2, [1, 0, 0, 0, 0, 0, 0, 1, 0, 1]~, 5, 1, [2, 1, 1, 2, 2, 2, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s882(1,3)* 

Field minimum poly (root): x^10 - 4*x^9 + 16*x^7 - 11*x^6 - 23*x^5 + 24*x^4 + 14*x^3 - 20*x^2 - 3*x + 2 (7)
Real ramification: [4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 1, 0, 1, 0, 0]~], [7, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 1, 1, -3, -1, 3, 1, 3, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2037(1,3)* v2297(-5,1)* 

Field minimum poly (root): x^10 - 4*x^9 + 16*x^7 - 11*x^6 - 23*x^5 + 25*x^4 + 12*x^3 - 21*x^2 - x + 5 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s480(-4,3) v0953(-4,3) 

Field minimum poly (root): x^10 - 4*x^9 + 16*x^7 - 14*x^6 - 10*x^5 + 14*x^4 - 6*x^3 + 3*x^2 + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 1, -1, 0, -1, -1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s899(-1,3) 

Field minimum poly (root): x^10 - 4*x^9 + 2*x^8 + 8*x^7 - 6*x^6 - 6*x^5 + 3*x^4 - x^3 + 3*x^2 + 3*x - 2 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 0, 0, 0, 0, 1]~], [5, [1, 2, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [-2, 2, -1, -2, 0, 0, 1, 1, 0, 0]~], [17, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -7, -4, -8, -1, 2, -7, -6, 7, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3470(-3,2)* 

Field minimum poly (root): x^10 - 4*x^9 + 2*x^8 + 8*x^7 - 6*x^6 - 6*x^5 + 3*x^4 - x^3 + 3*x^2 + 3*x - 2 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3469(-3,2)* 

Field minimum poly (root): x^10 - 4*x^9 + 2*x^8 + 9*x^7 - 14*x^6 + 3*x^5 + 13*x^4 - 11*x^3 - 2*x^2 + 3*x - 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [1, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [1, 3, 2, 3, 1, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2640(-1,3) 

Field minimum poly (root): x^10 - 4*x^9 + 2*x^8 + 9*x^7 - 14*x^6 + 3*x^5 + 13*x^4 - 11*x^3 - 2*x^2 + 3*x - 1 (7)
Real ramification: [1, 2, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2643(1,3)* 

Field minimum poly (root): x^10 - 4*x^9 + 3*x^8 + 11*x^7 - 23*x^6 + 4*x^5 + 23*x^4 - 15*x^3 - 6*x^2 + 4*x + 1 (8)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3184(-1,2)* 

Field minimum poly (root): x^10 - 4*x^9 + 3*x^8 + 11*x^7 - 26*x^6 + 19*x^5 + x^4 - 13*x^3 + 12*x^2 - 7*x - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[41, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 3, -12, -15, -4, -3, 10, 19, -8, 7]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3485(-1,3) 

Field minimum poly (root): x^10 - 4*x^9 + 3*x^8 + 3*x^7 + 4*x^5 - 23*x^4 + 4*x^3 + 23*x^2 - 4*x - 5 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0, 1, 1, 0, 0, 1]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -4, 0, 4, -2, -4, -2, -1, 0, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2878(4,1)* 

Field minimum poly (root): x^10 - 4*x^9 + 3*x^8 + 4*x^7 - 4*x^6 - x^5 + 8*x^4 - x^3 + 2 (3)
Real ramification: []
Finite ramification: [[2, [0, 0, 0, 0, 1, 1, 0, 1, 0, 1]~, 2, 1, [2, 2, 2, 1, 2, 2, 2, 2, 1, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 1, 2, 1, 1, 2, 1, 1]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, -1, -1, 1, 1, -1, 0, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 2, -1, 1, 2, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2927(-5,1) 

Field minimum poly (root): x^10 - 4*x^9 + 3*x^8 + 5*x^6 + 2*x^5 - 2*x^4 - 7*x^3 - 8*x^2 - 5*x - 1 (7)
Real ramification: [2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, -1, -1, 0, 1, -1, 0, 1]~], [43, [-14, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -8, -8, -4, 4, -4, -19, 14, 9, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s350(-5,1)* 

Field minimum poly (root): x^10 - 4*x^9 + 3*x^8 + 6*x^7 - 6*x^6 - 8*x^5 + 2*x^4 + 7*x^3 + 6*x^2 + 5*x + 2 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 0, 1, 0, 1]~], [2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 1, 1, 0, 0, 0, 0, 0, 1, 1]~], [7, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, 1, 1, -1, 0, -1, 0, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s626(-6,1)* 

Field minimum poly (root): x^10 - 4*x^9 + 4*x^8 + 3*x^7 - 10*x^6 + x^5 + 12*x^4 + 5*x^3 - 8*x^2 - x + 1 (8)
Real ramification: [1, 2, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s878(5,1)* s879(4,3)* 

Field minimum poly (root): x^10 - 4*x^9 + 4*x^8 + 4*x^7 - 6*x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 3*x^2 - 4 (5)
Real ramification: [1, 2]
Finite ramification: [[11, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 4, -4, 3, -4, 0, 4, -2, -3, 4]~], [19, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, 4, -5, 6, -7, -7, -9, -8, 6, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2585(-2,3)* 

Field minimum poly (root): x^10 - 4*x^9 + 4*x^8 + 4*x^7 - 6*x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 3*x^2 - 4 (5)
Real ramification: [1]
Finite ramification: [[59, [11, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-26, 0, 20, 25, 26, -1, 14, 27, -1, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s942(6,1)* 

Field minimum poly (root): x^10 - 4*x^9 + 4*x^8 - x^7 + 6*x^5 - 5*x^4 - 3*x^3 + 5*x^2 + 4*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 1, 2, 1, 2, 2, 2, 2, 1]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 4, 1, [1, 2, 2, 1, 1, 1, 1, 2, 1, 0]~], [269, [-127, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [35, -77, -43, 94, -103, -111, -39, 22, 122, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3157(-5,1) 

Field minimum poly (root): x^10 - 4*x^9 + 5*x^8 - 6*x^6 + 8*x^5 - 7*x^4 + 7*x^3 - 7*x^2 + 3*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m291(-1,3) 

Field minimum poly (root): x^10 - 4*x^9 + 5*x^8 - 8*x^7 + 21*x^6 - 19*x^5 + 3*x^4 - 6*x^2 + 5*x - 1 (8)
Real ramification: [4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m253(2,3)* 

Field minimum poly (root): x^10 - 4*x^9 + 5*x^8 - x^7 - 5*x^5 + x^4 + 8*x^3 - 5*x^2 - 3*x + 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[71, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, -28, -19, 24, 19, 26, -31, 3, -14, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3427(-1,3) 

Field minimum poly (root): x^10 - 4*x^9 + 5*x^8 - x^7 - 8*x^6 + 15*x^5 + x^4 - 17*x^3 + 6*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[31, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, 15, 4, -13, -12, -1, 6, 6, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3525(1,3) 

Field minimum poly (root): x^10 - 4*x^9 + 6*x^8 - 3*x^7 - 2*x^6 + 6*x^5 - 7*x^4 + 3*x^3 + 2*x^2 - 2*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[13, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 2, 0, -1, 2, 3, 6, 3, -1, 1]~], [139, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [46, 16, 51, 16, 54, 16, 6, 3, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s437(4,1)* 

Field minimum poly (root): x^10 - 4*x^9 + 6*x^8 - 3*x^7 - 2*x^6 + 6*x^5 - 7*x^4 + 3*x^3 + 2*x^2 - 2*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[5, [2, -1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, -2, 1, -2, 0, -1, 1, 2, 1, 0]~], [109, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [54, 28, 13, 5, 6, 0, 1, 2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m368(5,2) m370(-5,2)* 

Field minimum poly (root): x^10 - 4*x^9 + 6*x^8 - 4*x^7 - 2*x^6 + 8*x^5 - 8*x^4 + 4*x^3 + x^2 - 3*x + 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s885(3,2)* 

Field minimum poly (root): x^10 - 4*x^9 + 7*x^8 - 6*x^7 - x^6 + 9*x^5 - 10*x^4 + 4*x^3 + 2*x^2 - 4*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, -1, 0, 0, 2, 1, -1, -1, 1]~], [53, [-15, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, -24, 23, 26, 13, 25, -23, 13, 11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s481(3,1)* 

Field minimum poly (root): x^10 - 4*x^9 + 8*x^8 - 9*x^7 + 4*x^6 + 3*x^5 - 8*x^4 + 7*x^3 - 4*x^2 + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2971(1,3)* 

Field minimum poly (root): x^10 - 4*x^9 + 8*x^8 - 9*x^7 + 6*x^6 + 4*x^5 - 7*x^4 + 3*x^3 + x^2 - 3*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0]~, 2, 3, [1, 0, 1, 1, 0, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3264(2,3)* 

Field minimum poly (root): x^10 - 4*x^9 + 9*x^8 - 16*x^7 + 20*x^6 - 20*x^5 + 16*x^4 - 12*x^3 + 8*x^2 - 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m320(-4,3) 

Field minimum poly (root): x^10 - 4*x^9 + x^8 + 12*x^7 - 5*x^6 - 19*x^5 + 21*x^3 + 6*x^2 - 5*x - 4 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1, 1, 0, 1, 0, 0]~], [2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 1, 1, 1, 0, 0]~], [2, [3, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [1, 2, 1, 1, 2, 2, 2, 2, 1, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, 1, 1, -1, -1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2123(-3,2) 

Field minimum poly (root): x^10 - 4*x^9 + x^8 + 12*x^7 - 8*x^6 - 14*x^5 + 11*x^4 + 5*x^3 - 10*x^2 + 11*x - 4 (7)
Real ramification: [2]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 0, 0, 1, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 1, 0, 1, 1, 1, 0]~], [71, [-30, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-33, 8, 29, 15, -33, -3, 12, 0, 26, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1858(-5,1) 

Field minimum poly (root): x^10 - 4*x^9 + x^8 + 12*x^7 - 9*x^6 - 9*x^5 + 2*x^4 + 10*x^3 - 3*x - 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1, 0, 1, 0, 1]~], [3, [2, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, -1, 1, -1, 1, 0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s708(3,2)* 

Field minimum poly (root): x^10 - 4*x^9 + x^8 + 18*x^7 - 27*x^6 - 11*x^5 + 39*x^4 - 4*x^3 - 13*x^2 + 2*x + 1 (8)
Real ramification: [3, 4, 5]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 1, 0, 0, 0, 1, -1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2238(-6,1)* 

Field minimum poly (root): x^10 - 4*x^9 - 2*x^8 + 20*x^7 + x^6 - 32*x^5 - 11*x^4 + 14*x^3 + 14*x^2 + 8*x + 2 (5)
Real ramification: [3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 4, 1, [0, 0, 0, 1, 1, 0, 1, 0, 0, 0]~], [11, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-2, 1, -2, -5, -1, 1, -5, 1, 5, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2563(6,1) 

Field minimum poly (root): x^10 - 4*x^9 - x^8 + 20*x^7 - 12*x^6 - 29*x^5 + 21*x^4 + 12*x^3 - x^2 - 5*x - 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 4, [1, 0, 0, 1, 1, 1, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0]~, 1, 4, [1, 0, 1, 1, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m148(-5,2) 

Field minimum poly (root): x^10 - 4*x^9 - x^8 + 20*x^7 - 15*x^6 - 23*x^5 + 29*x^4 - 4*x^3 - 7*x^2 + 6*x - 1 (9)
Real ramification: [2, 3, 6, 7, 8]
Finite ramification: [[29, [13, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, -10, -2, 11, -12, -12, 2, -12, 12, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s897(2,3) 

Field minimum poly (root): x^10 - 4*x^9 - x^8 + 20*x^7 - 15*x^6 - 23*x^5 + 29*x^4 - 4*x^3 - 7*x^2 + 6*x - 1 (9)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s900(2,3) 

Field minimum poly (root): x^10 - 4*x^9 - x^8 + 20*x^7 - 15*x^6 - 23*x^5 + 29*x^4 - 4*x^3 - 7*x^2 + 6*x - 1 (9)
Real ramification: [1, 2, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2202(-2,3)* v2203(2,3) 

Field minimum poly (root): x^10 - 4*x^9 - x^8 + 20*x^7 - 4*x^6 - 44*x^5 - 3*x^4 + 49*x^3 + 21*x^2 - 14*x - 8 (7)
Real ramification: [2, 4, 5, 6]
Finite ramification: [[2, [0, 0, 1, 0, 1, 0, 1, 1, 1, 1]~, 1, 1, [1, 2, 2, 2, 2, 2, 2, 1, 2, 1]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 1, 2, 2, 2, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s626(-2,3)* 

Field minimum poly (root): x^10 - 5*x^8 + 10*x^6 - 3*x^5 - 10*x^4 + 3*x^3 + 4*x^2 - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m322(2,1)* 

Field minimum poly (root): x^10 - 5*x^8 - 10*x^7 - 6*x^6 + 4*x^5 + 11*x^4 + 6*x^3 - x^2 - 4*x + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -1, 1, 1, 0, -2, 1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3245(-5,1) 

Field minimum poly (root): x^10 - 5*x^8 - 2*x^7 + 8*x^6 + 6*x^5 - 6*x^4 - 5*x^3 + 3*x^2 + 4*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[19, [15, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -7, 7, 3, 7, 5, 4, -8, 4, 1]~], [67, [-33, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 4, -2, -6, 0, 12, -8, 12, 33, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s764(-3,2) 

Field minimum poly (root): x^10 - 5*x^8 - 4*x^7 + 14*x^6 + 10*x^5 - 35*x^4 - 57*x^3 - 33*x^2 + 8*x + 13 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 0, 1, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0, 1, 1, 1, 0]~], [11, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -2, 3, -3, 5, 4, -2, 1, 0, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(-1,3)* 

Field minimum poly (root): x^10 - 5*x^8 - 5*x^7 + 5*x^6 + 16*x^5 + 2*x^4 - 11*x^3 - x^2 - 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 0, 0, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s884(-2,3) 

Field minimum poly (root): x^10 - 5*x^8 - 7*x^7 - x^6 + 12*x^5 + 17*x^4 + 7*x^3 - 8*x^2 - 12*x - 8 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 0, 1, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(-4,1) 

Field minimum poly (root): x^10 - 5*x^8 - x^7 + 10*x^6 + 2*x^5 - 11*x^4 - 4*x^3 + 6*x^2 + x - 1 (6)
Real ramification: [3]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -1, -2, -5, -2, -3, 0, 4, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2354(-4,1)* 

Field minimum poly (root): x^10 - 5*x^8 - x^7 + 10*x^6 + 2*x^5 - 11*x^4 - 4*x^3 + 6*x^2 + x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 0, 1, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s881(1,4)* 

Field minimum poly (root): x^10 - 5*x^9 + 10*x^8 - 8*x^7 + 2*x^6 - 3*x^5 + 6*x^4 + 3*x^3 - 6*x^2 + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[199, [40, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -25, 95, -62, -58, 76, 28, 19, -45, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m212(-1,4)* 

Field minimum poly (root): x^10 - 5*x^9 + 11*x^8 - 12*x^7 + 4*x^6 + 8*x^5 - 14*x^4 + 11*x^3 - 2*x^2 - 3*x + 3 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 1, 1, 1, 0, 1]~], [3, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, -1, 1, -1, 1, 0, -1, 1, 1]~], [53, [14, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 26, -2, -18, 23, -20, -21, 12, -19, 1]~], [109, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [53, 28, 15, 2, 8, 0, -2, 5, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m368(5,1) m370(-5,1)* 

Field minimum poly (root): x^10 - 5*x^9 + 11*x^8 - 12*x^7 + 4*x^6 + 8*x^5 - 14*x^4 + 11*x^3 - 2*x^2 - 3*x + 3 (6)
Real ramification: [1, 2]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, -1, 1, -1, 1, 0, -1, 1, 1]~], [11, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -3, -4, -5, 3, 2, 3, 5, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s442(4,1)* 

Field minimum poly (root): x^10 - 5*x^9 + 5*x^8 + 2*x^7 + 5*x^6 - 12*x^5 + 3*x^4 - 8*x^3 + 5*x^2 + 7 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[7, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, -2, 1, 2, 0, -2, -3, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3183(1,4) 

Field minimum poly (root): x^10 - 5*x^9 + 5*x^8 + 8*x^7 - 14*x^6 + 9*x^4 - 8*x^3 + 2*x^2 + 5*x - 2 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 0, 1, 1, 1]~], [7, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -2, -1, 0, 3, -1, -2, 1, -1, 1]~], [31, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 3, 3, 2, 10, -1, 8, 0, -15, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3107(-5,2)* 

Field minimum poly (root): x^10 - 5*x^9 + 9*x^8 - 4*x^7 - 7*x^6 + 9*x^5 + 3*x^4 - 5*x^3 + 2*x^2 + 4*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 0, 1, 1, 0, 1]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3490(-3,2) 

Field minimum poly (root): x^10 - 6*x^8 + 7*x^6 - 3*x^5 + x^3 + 3*x^2 - 3*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, -1, -1, 0, 0, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3516(-1,3) 

Field minimum poly (root): x^10 - 6*x^8 + 9*x^6 - 4*x^5 - 9*x^4 + 3*x^3 + 2*x^2 - 2*x + 1 (7)
Real ramification: [1, 2]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, -1, 2, -2, -2, 1, 0, 0, -2]~], [43, [9, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-21, -14, -3, -1, 15, 0, -6, -16, 13, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3056(-3,1) 

Field minimum poly (root): x^10 - 7*x^8 + 17*x^6 - x^5 - 14*x^4 + 4*x^3 - 3*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 1, 1, 1, 0, 0, 0, 1, 0]~, 3, 1, [1, 2, 1, 2, 1, 1, 1, 1, 0, 0]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 1, 2, 1, 1, 2, 2, 2, 1, 1]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 0, 0, 1, 0, 1, 1, 0, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 1, 1, 0, 0, 1, 0, 0]~], [13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 5, -4, -4, -5, -2, 1, 5, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2526(-4,1)* 

Field minimum poly (root): x^10 - 7*x^8 - 2*x^7 + 16*x^6 + 9*x^5 - 10*x^4 - 11*x^3 - 5*x^2 + x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -4, 5, 2, -5, -5, -1, 5, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3267(1,4)* 

Field minimum poly (root): x^10 - 8*x^8 + 14*x^6 + 27*x^4 - 41*x^2 + 3 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 1, 1, 1, 1, 1]~, 2, 2, [1, 2, 1, 1, 1, 0, 0, 0, 0, 0]~], [2, [1, 1, 0, 0, 0, 1, 1, 1, 1, 1]~, 1, 6, [1, 2, 1, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v1461(1,3) 

Field minimum poly (root): x^10 - x^7 + 3*x^6 + 2*x^5 + 5*x^4 + 5*x^3 + 4*x^2 + 2*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 0, 1, 0, 0, 1, 0, 0, 0]~, 1, 6, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0]~], [5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, -2, -2, -2, 2, 1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m234(-2,3)* 

Field minimum poly (root): x^10 - x^7 - 3*x^6 - 5*x^5 - 3*x^4 - 3*x^3 - 2*x^2 + 3*x + 2 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s349(4,1) 

Field minimum poly (root): x^10 - x^8 - 2*x^7 + 4*x^6 - x^5 - 3*x^4 + 4*x^3 - 4*x^2 - x + 1 (6)
Real ramification: [2, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 1, 1, 0, 0, 1]~], [97, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [35, 38, 3, 21, 23, -23, -9, 11, 46, -43]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s437(-1,4) 

Field minimum poly (root): x^10 - x^8 - 3*x^7 - x^6 + 7*x^5 - 8*x^4 - 5*x^3 + 6*x^2 + x - 1 (8)
Real ramification: [1, 3, 5, 6]
Finite ramification: [[2, [0, 1, 1, 1, 1, 1, 1, 0, 1, 0]~, 4, 1, [2, 2, 2, 2, 2, 1, 2, 1, 1, 1]~], [13, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -2, -5, -2, 6, -6, -4, 0, -3, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2949(5,2)* 

Field minimum poly (root): x^10 - x^8 - 3*x^7 - x^6 + 7*x^5 - 8*x^4 - 5*x^3 + 6*x^2 + x - 1 (8)
Real ramification: [2, 5, 6]
Finite ramification: [[2, [0, 1, 1, 1, 1, 1, 1, 0, 1, 0]~, 4, 1, [2, 2, 2, 2, 2, 1, 2, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2965(5,2)* 

Field minimum poly (root): x^10 - x^8 - 4*x^7 + 2*x^6 + 4*x^5 - 2*x^4 - 4*x^3 + x^2 - 4*x - 1 (3)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 0, 0, 0, 1, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 1, 1, 2, 2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s924(-5,1)* 

Field minimum poly (root): x^10 - x^8 - 4*x^7 - 2*x^6 + 4*x^5 + 6*x^4 - 4*x^3 - 3*x^2 - 4*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 1, 1, 0, 1, 0, 1, 1, 1]~, 2, 1, [2, 2, 2, 2, 1, 1, 2, 2, 1, 1]~], [13, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, -1, 6, -3, -2, -2, -1, -5, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s746(5,1)* 

Field minimum poly (root): x^10 - x^8 - 6*x^7 - 8*x^6 + 18*x^5 + 24*x^4 - 16*x^3 - 25*x^2 + 4*x + 5 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 1, 0, 0, 1, 1, 1, 1]~, 2, 1, [1, 1, 1, 1, 2, 2, 2, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s924(1,3) 

Field minimum poly (root): x^10 - x^8 - x^6 - x^5 + 4*x^4 + 3*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [2, 4]
Finite ramification: [[13, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [3, 1, -2, 2, 6, 5, -5, 2, 4, 1]~], [41, [17, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-12, -9, -19, -18, -18, 1, -17, 1, -17, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m337(-1,3)* 

Field minimum poly (root): x^10 - x^8 - x^6 - x^5 + 4*x^4 + 3*x^3 - 4*x^2 - x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[13, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 6, -1, 3, 4, 6, -2, -5, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m338(5,1) 

Field minimum poly (root): x^10 - x^9 + 2*x^7 - 4*x^6 + 2*x^5 + 3*x^3 - 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[19, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -4, 3, 0, -1, 5, -2, 7, 4, 3]~], [41, [14, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [13, 15, -14, 10, -2, 6, 14, -20, -4, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m022(1,3) 

Field minimum poly (root): x^10 - x^9 + 2*x^8 + x^7 - 2*x^6 + 3*x^5 - 4*x^4 - 2*x^3 - 3*x^2 - 4*x - 1 (7)
Real ramification: [2, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 0, 1, 1, 0, 0]~], [5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, -1, 2, -1, -1, 0, -2, 1, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3198(-2,3) v3199(5,1) 

Field minimum poly (root): x^10 - x^9 + 2*x^8 - 2*x^7 + x^6 + 2*x^5 - 3*x^4 + x^3 - 4*x^2 - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 0, 0, 1, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 2, 2, 1, 0, 0, 0]~], [2, [1, 0, 0, 0, 1, 1, 0, 0, 0, 0]~, 1, 4, [1, 1, 2, 1, 2, 1, 0, 0, 0, 0]~], [2, [1, 0, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 4, [1, 0, 0, 0, 0, 0, 1, 0, 0, 0]~], [131, [36, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [52, 64, -31, -61, 50, 35, 64, 48, 57, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2972(1,3)* 

Field minimum poly (root): x^10 - x^9 + 2*x^8 - 6*x^6 + 3*x^5 - 6*x^4 + 3*x^3 + 6*x^2 - 5*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 1, 1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2876(4,1) 

Field minimum poly (root): x^10 - x^9 + 2*x^8 - 6*x^7 + 4*x^6 - 4*x^5 + 7*x^4 - x^3 + 2*x^2 - 2*x - 1 (5)
Real ramification: [1]
Finite ramification: [[139, [-33, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [69, -9, -24, -50, -31, -67, 9, -66, 46, 43]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3318(-2,3) v3318(3,2) 

Field minimum poly (root): x^10 - x^9 + 2*x^8 - x^6 + x^5 - 2*x^4 + x^3 + x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -4, 1, 0, -3, 6, -4, 6, -6, 1]~], [97, [38, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-23, -2, -28, -12, 36, -29, -35, 29, -39, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m011(-1,4) 

Field minimum poly (root): x^10 - x^9 + 2*x^8 - x^6 + x^5 - 2*x^4 + x^3 + x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1198(-4,1)* 

Field minimum poly (root): x^10 - x^9 + 2*x^8 - x^7 + 3*x^6 - 3*x^5 + 2*x^4 + 4*x^3 - 4*x^2 - x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 1, 0, 1, 1, 1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s385(-1,3) 

Field minimum poly (root): x^10 - x^9 + 2*x^8 - x^7 + 3*x^6 - 3*x^5 + 2*x^4 + 4*x^3 - 4*x^2 - x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 1, 0, 1, 1, 1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s384(-5,1) 

Field minimum poly (root): x^10 - x^9 + 3*x^7 - 12*x^6 + 7*x^5 - 12*x^4 + 14*x^3 + 21*x^2 - 20*x + 4 (7)
Real ramification: [1, 2, 3, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v1538(4,3) 

Field minimum poly (root): x^10 - x^9 + 3*x^7 - 2*x^6 + 2*x^5 - x^4 + x^3 + 2*x^2 - 2*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 1, 0, 0, 1]~, 1, 9, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~], [13, [8, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 4, 3, 3, 6, 6, -1, -6, 4, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2101(-4,1)* 

Field minimum poly (root): x^10 - x^9 + 3*x^8 + 3*x^5 - 4*x^4 - x^3 - 3*x^2 - 4*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2876(-3,1)* 

Field minimum poly (root): x^10 - x^9 + 3*x^8 - 3*x^7 + 4*x^6 - 3*x^5 + 2*x^4 - x^3 - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[17, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -1, 0, 2, -5, -8, 5, -2, 1]~], [10009, [2089, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2640, 3336, 880, -3752, 1650, 4, 0, 2089, -2090, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s432(-4,3) 

Field minimum poly (root): x^10 - x^9 + 3*x^8 - 3*x^7 + 4*x^6 - 3*x^5 + 2*x^4 - x^3 - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[17, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -1, 0, 2, -5, -8, 5, -2, 1]~], [89, [-40, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-20, 44, 10, -42, -10, -38, 39, -39, 39, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m369(4,1)* m371(-4,1) 

Field minimum poly (root): x^10 - x^9 + 3*x^8 - 3*x^7 - 2*x^5 - 6*x^4 + x^3 - 4*x^2 + x - 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 1, 0, 1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s496(-5,1) 

Field minimum poly (root): x^10 - x^9 + 3*x^8 - 3*x^7 - x^5 - 7*x^4 + 4*x^3 - 5*x^2 + 3*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, -1, -1, 0, -1, 1, -1, 1, 1]~], [263, [-87, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-130, 68, 22, -27, 30, 85, 4, 121, 86, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(-1,3) 

Field minimum poly (root): x^10 - x^9 + 3*x^8 - 4*x^7 + x^6 - 5*x^5 - 3*x^4 - 2*x^3 - 2*x^2 - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3359(-2,3) 

Field minimum poly (root): x^10 - x^9 + 3*x^8 - 4*x^7 - 3*x^6 + 3*x^5 - 4*x^4 + 3*x^3 + 5*x^2 - x - 1 (8)
Real ramification: [2, 4, 6]
Finite ramification: [[139, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [35, 9, 1, 69, 53, -57, 56, 15, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3262(-4,1) 

Field minimum poly (root): x^10 - x^9 + 4*x^7 - 4*x^6 - x^5 + 6*x^4 - 4*x^3 - 2*x^2 + 3*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s481(1,3) 

Field minimum poly (root): x^10 - x^9 + 4*x^8 - 4*x^7 + 3*x^6 - 5*x^5 - 4*x^4 - 2*x^3 - 4*x^2 - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 1, 1, 1, 0, 1, 0]~], [3331, [-203, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [361, 412, 281, -1098, 1455, 762, 857, 1038, 202, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m393(-2,3) 

Field minimum poly (root): x^10 - x^9 + 4*x^8 - 4*x^7 + 8*x^6 - 7*x^5 + 8*x^4 - 6*x^3 + 4*x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, 4, -1, -4, -4, 1, -5, -2, 2]~], [89, [-40, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-21, 3, -1, -32, -22, 13, -11, -38, 39, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m369(2,3)* 

Field minimum poly (root): x^10 - x^9 + 4*x^8 - 4*x^7 + 8*x^6 - 7*x^5 + 8*x^4 - 6*x^3 + 4*x^2 - 2*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[7, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, -1, -3, 3, -3, 2, 3, 2]~], [11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, 4, -1, -4, -4, 1, -5, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s440(-2,3) 

Field minimum poly (root): x^10 - x^9 + 4*x^8 - x^7 + 4*x^6 + 4*x^5 + 2*x^4 - x^3 - 9*x^2 + 6*x - 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2910(3,2) 

Field minimum poly (root): x^10 - x^9 + 5*x^8 - 2*x^7 + 4*x^6 - 2*x^5 - 4*x^4 + 2*x^3 - 5*x^2 - 5*x - 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 4, 1, [1, 2, 1, 1, 2, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3093(-1,3)* 

Field minimum poly (root): x^10 - x^9 + 5*x^8 - 2*x^7 + 6*x^6 + 2*x^5 - 3*x^3 - 10*x^2 - 6*x - 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [1, 1, 1, 1, 2, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2910(3,1) 

Field minimum poly (root): x^10 - x^9 + 5*x^8 - 3*x^7 + 4*x^6 + 3*x^5 - 2*x^4 - 4*x^3 - 10*x^2 - 6*x - 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3198(2,3) v3199(-7,1) v3242(-2,3) 

Field minimum poly (root): x^10 - x^9 + x^7 - 4*x^6 + 5*x^5 - 2*x^3 + x^2 - x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, -1, 1, -1, 1, -1, 0, 2, -2]~], [5, [2, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [2, 1, -1, -1, 1, 0, 0, -2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2716(5,1) 

Field minimum poly (root): x^10 - x^9 + x^8 + 2*x^7 - 3*x^6 - x^5 + x^4 - x^3 + 3*x^2 + 4*x + 1 (4)
Real ramification: [1]
Finite ramification: [[53, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-26, 17, -6, 21, 20, -7, -18, 24, -13, -10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s667(4,1)* 

Field minimum poly (root): x^10 - x^9 + x^8 + 5*x^7 - 9*x^6 + 7*x^5 + x^4 - 9*x^3 + 3*x^2 + x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, 3, -3, -1, -1, 1, 1, -1, -3]~], [7, [-1, 3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, -3, 2, 2, 1, 0, 3, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3045(3,2) 

Field minimum poly (root): x^10 - x^9 + x^8 + 7*x^7 - 7*x^6 + 2*x^5 + 18*x^4 - 16*x^2 - 8*x - 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 1, 2, 2, 2, 2, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1682(5,1) 

Field minimum poly (root): x^10 - x^9 + x^8 - 2*x^6 - 4*x^5 - x^4 - 2*x^3 - 4*x^2 - 3*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[73, [-17, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-31, 7, 35, -17, -17, -17, -32, -20, 16, 4]~], [73, [-16, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [31, 25, -21, -26, -5, 10, -14, 21, 15, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s890(-5,1) 

Field minimum poly (root): x^10 - x^9 + x^8 - 5*x^7 + 6*x^4 + 3*x^3 - 2*x^2 - 3*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [1, 1, 1, 1, 1, 2, 2, 1, 1, 0]~], [7, [-2, -3, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 2, 1, -3, -1, -1, 2, 2, -3, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2642(6,1) 

Field minimum poly (root): x^10 - x^9 + x^8 - 5*x^7 + 6*x^4 + 3*x^3 - 2*x^2 - 3*x + 1 (7)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2641(6,1) 

Field minimum poly (root): x^10 - x^9 + x^8 - x^7 + 2*x^6 - 5*x^5 + 4*x^4 + 4*x^3 - 10*x^2 + 7*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -2, 3, -2, 1, -2, 1, 0, 1, -2]~], [97, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [43, 43, -26, 3, 7, 45, -10, -14, -33, 32]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v1189(-5,1)* 

Field minimum poly (root): x^10 - x^9 - 2*x^7 + 4*x^6 - 2*x^5 + x^3 - 4*x^2 - 1 (6)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 1, 0, 0, 1]~, 3, 1, [1, 2, 1, 1, 1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3318(-1,4)* v3318(4,1)* 

Field minimum poly (root): x^10 - x^9 - 2*x^7 - 4*x^6 + 5*x^5 - 3*x^4 - 6*x^3 - x^2 + 4*x - 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 1, 1, 0, 1]~, 2, 1, [2, 2, 2, 1, 2, 2, 1, 1, 1, 0]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 3, 1, [1, 2, 1, 1, 2, 1, 2, 1, 1, 0]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3356(-6,1) 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 2*x^7 + 4*x^6 - 3*x^5 - 5*x^4 + 2*x^3 + 3*x^2 - x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[43, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, -1, -15, -10, -8, -8, -2, -15, 5, 1]~], [89, [-9, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [10, 21, 2, 0, -39, -4, 9, -19, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s932(-1,4) s933(-1,4)* 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 2*x^7 - 5*x^6 + 9*x^5 - 3*x^4 - x^3 + 4*x^2 - 2*x - 1 (7)
Real ramification: [3, 4]
Finite ramification: [[13, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -3, 2, 2, 4, 2, -1, -4, -4, -2]~], [127, [-41, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [27, 5, -37, -12, 4, -63, -26, -17, 38, 11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s423(-2,3) 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 2*x^7 - 5*x^6 + 9*x^5 - 3*x^4 - x^3 + 4*x^2 - 2*x - 1 (7)
Real ramification: [5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m358(2,3)* 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 4*x^7 + x^6 - 5*x^5 + 5*x^3 - 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -3, -6, 4, -5, 0, -2, 1, 6, 1]~], [103, [47, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [46, -12, -37, 25, 17, -18, -50, -12, -48, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m145(-2,3) 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 4*x^7 + x^6 - 5*x^5 + 5*x^3 - 3*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[151, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [15, -32, -27, -27, 48, 40, -19, -43, -11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m116(4,1) 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 5*x^7 + 4*x^6 - 9*x^5 - 8*x^4 + 5*x^3 + 6*x^2 - x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 0, 1, 0, 0, 0, 0]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 4, 0, -4, -4, 3, -2, 2, -1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3457(-4,3) 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 5*x^7 + 6*x^5 - 3*x^3 - 7*x^2 - 5*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m286(-3,2)* 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 5*x^7 - 2*x^6 - 9*x^5 + 13*x^4 + 6*x^3 - 11*x^2 - x + 2 (6)
Real ramification: [4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2570(-4,1) 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 6*x^7 - 4*x^6 - 6*x^5 + 6*x^4 - 2*x^3 + 6*x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(-4,1)* 

Field minimum poly (root): x^10 - x^9 - 2*x^8 + 6*x^7 - 6*x^6 - 3*x^5 + 8*x^4 - 7*x^3 + 6*x^2 - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s912(3,1)* 

Field minimum poly (root): x^10 - x^9 - 2*x^8 - 2*x^7 + 4*x^6 + 3*x^5 - 4*x^4 - x^3 + 2*x^2 + 2*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 0, 1, 1, 0, 1, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 0, 1, -1, -1, -1, -1, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3248(-5,1)* 

Field minimum poly (root): x^10 - x^9 - 3*x^6 + 2*x^5 - 2*x^4 + 2*x^3 + x^2 + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[23, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, 11, -2, 10, -7, 11, 11, 7, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2808(-1,3)* 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 12*x^7 - 5*x^6 - 15*x^5 + 22*x^4 - 2*x^3 - 9*x^2 + 6*x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[7, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 2, 0, -1, 1, 3, -1, 3, -1, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2422(-5,1)* 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 2*x^6 - 4*x^5 + x^4 - 2*x^3 - 4*x^2 + x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 1, 1, 1, 0, 0, 0, 1]~, 2, 1, [2, 1, 2, 1, 1, 1, 2, 1, 1, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 1, 0, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s755(-1,4) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 2*x^7 + 5*x^6 - 2*x^5 - 7*x^4 + 3*x^3 + 4*x^2 - 2*x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[23, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, 7, 4, 9, 6, 3, 5, 4, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3301(4,3)* v3491(2,3)* 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 2*x^7 + 5*x^6 - 2*x^5 - 7*x^4 + 3*x^3 + 4*x^2 - 2*x - 1 (5)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3298(-4,1) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 2*x^7 + 5*x^6 - 5*x^5 - 3*x^4 + 9*x^3 - 6*x^2 + x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m322(1,3)* 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 2*x^7 + 6*x^6 - x^5 - 11*x^4 - 8*x^3 + 3*x^2 + 7*x + 4 (4)
Real ramification: [2]
Finite ramification: [[3, [-1, -1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, -1, 0, 1, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s512(5,1) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 3*x^7 + 3*x^6 - 6*x^5 - x^4 + 12*x^3 - 11*x^2 + 5*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2877(5,1) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 4*x^7 + 3*x^6 - 7*x^5 + 3*x^4 + 2*x^3 - 5*x^2 + x + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 1, 0, 0, 0]~, 3, 2, [1, 2, 1, 2, 1, 0, 0, 0, 0, 0]~], [2, [1, 0, 0, 0, 0, 0, 1, 0, 0, 0]~, 2, 2, [1, 1, 1, 2, 2, 2, 2, 2, 1, 0]~], [199, [77, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-36, -48, 16, -19, -54, 49, -99, 66, 43, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m168(-2,3) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 4*x^7 - 3*x^6 + 5*x^5 + 3*x^4 - 11*x^3 - x^2 + 4*x + 1 (8)
Real ramification: [1, 3, 4, 5, 6]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 0, -1, 0, 0, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m286(-1,2) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 5*x^6 + 3*x^5 - 4*x^4 - 3*x^3 + 2*x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m160(-4,3) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + 9*x^6 - 6*x^5 - 6*x^4 + 12*x^3 - 2*x^2 - 5*x + 2 (8)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3158(1,2)* 

Field minimum poly (root): x^10 - x^9 - 3*x^8 + x^7 + 4*x^6 + 3*x^5 - 7*x^4 - 2*x^3 + 7*x^2 - x - 1 (7)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m215(-1,4) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 - 3*x^7 + 3*x^6 + 8*x^5 + 7*x^4 - 7*x^2 - 5*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3499(1,3) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 - 4*x^7 + 4*x^6 + 12*x^5 + 8*x^4 - x^3 - 7*x^2 - 5*x - 1 (7)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, -1, 0, 0, -1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s899(5,2) 

Field minimum poly (root): x^10 - x^9 - 3*x^8 - x^7 + x^6 + 10*x^5 + 7*x^4 - 4*x^3 - 6*x^2 - 9*x - 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[17, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -4, -8, 8, -1, -5, -2, -1, 1, 3]~], [19, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 8, -4, -3, 5, -3, -2, 8, -6, 3]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3514(1,2)* 

Field minimum poly (root): x^10 - x^9 - 3*x^8 - x^7 - 7*x^6 + 18*x^5 + 16*x^4 + 6*x^3 - 8*x^2 - 6*x - 1 (5)
Real ramification: [3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2771(-6,1)* 

Field minimum poly (root): x^10 - x^9 - 4*x^8 + 4*x^7 + 8*x^6 - 13*x^5 - 8*x^4 + 24*x^3 - 5*x^2 - 6*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, -1, 0, 1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m007(-6,1)* 

Field minimum poly (root): x^10 - x^9 - 4*x^8 + 5*x^7 + 6*x^6 - 11*x^5 - 3*x^4 + 10*x^3 - 2*x^2 - 3*x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[22273, [-6215, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5028, -8118, -3112, 5049, 10236, 4467, 997, -1376, 6214, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2889(1,2)* 

Field minimum poly (root): x^10 - x^9 - 4*x^8 + 5*x^7 + 8*x^6 - 12*x^5 - 7*x^4 + 13*x^3 + 2*x^2 - 5*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 0, 1, -1, 1, 0]~], [7, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -3, -3, -1, -1, -3, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3249(3,2)* 

Field minimum poly (root): x^10 - x^9 - 4*x^8 - x^7 + 10*x^6 + 6*x^5 - 8*x^4 - 9*x^3 + 4*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[5, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, 0, 1, 0, -2, 1, 2, -2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s345(-5,2)* 

Field minimum poly (root): x^10 - x^9 - 5*x^8 + 2*x^6 + 7*x^5 - 7*x^4 - 6*x^3 + 10*x^2 + 4*x - 1 (7)
Real ramification: [1, 3, 4, 5, 6]
Finite ramification: [[23, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 6, -11, -1, -10, -9, -1, -9, 6, -8]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s721(5,1) s722(1,3) 

Field minimum poly (root): x^10 - x^9 - 5*x^8 + 3*x^7 + 4*x^6 - 6*x^5 + 8*x^3 - 4*x^2 - 4*x + 2 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[19, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -2, -8, 4, -9, 2, 5, -2, 1, 6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s855(1,4)* 

Field minimum poly (root): x^10 - x^9 - 5*x^8 + 4*x^7 + 7*x^6 - 11*x^5 - 8*x^4 + 13*x^3 + 6*x^2 - 4*x - 1 (8)
Real ramification: [3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2623(-6,1)* 

Field minimum poly (root): x^10 - x^9 - 5*x^8 + 4*x^7 + 8*x^6 - 4*x^5 - 2*x^4 - 3*x^3 - 3*x^2 + 5*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 0, 0, 1, 1, 1, 0, 1, 1]~], [5, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 1, 2, -1, 2, 0, 1, -2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m364(5,1) 

Field minimum poly (root): x^10 - x^9 - 5*x^8 + 4*x^7 + 9*x^6 - 7*x^5 - 6*x^4 + 7*x^3 - x^2 - 3*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 1, 1, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s932(3,2) 

Field minimum poly (root): x^10 - x^9 - 5*x^8 + 6*x^7 + x^6 - 10*x^5 + 13*x^4 + 10*x^3 + 4*x^2 - 8*x - 16 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2641(-6,1)* 

Field minimum poly (root): x^10 - x^9 - 5*x^8 + 6*x^7 + x^6 - 10*x^5 + 13*x^4 + 10*x^3 + 4*x^2 - 8*x - 16 (8)
Real ramification: [1, 2, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2642(-6,1)* 

Field minimum poly (root): x^10 - x^9 - 5*x^8 + 7*x^7 + 9*x^6 - 14*x^5 - 9*x^4 + 13*x^3 + 8*x^2 - 7*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, 2, 0, 0, 0, -2, -2, -1, -2]~], [17, [20, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -7, -5, 0, -1, 1, -1, 8, 5, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s580(4,1) 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 3*x^7 + 15*x^6 - 6*x^5 - 13*x^4 + 7*x^3 + 8*x^2 - 3*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [2, 0, 0, 0, 1, 0, 0, 0, 1, 1]~, 1, 2, [2, 2, 1, 1, 1, 1, 1, 2, 1, 0]~], [13, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 4, 1, 2, 1, -2, 6, 0, 4, 2]~], [4003, [-354, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1424, 290, -542, 790, 1902, -266, -1449, 1726, 706, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s821(-1,3) 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 3*x^7 + 15*x^6 - 6*x^5 - 13*x^4 + 7*x^3 + 8*x^2 - 3*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[283, [14, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [124, 112, -7, -100, 87, 54, -46, 125, -30, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s753(-2,3)* 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 4*x^7 + 10*x^6 - 4*x^5 - 9*x^4 + x^3 + 5*x^2 + 2*x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 1, 0, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2898(5,1) v2899(4,3) 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 5*x^7 + 10*x^6 - 7*x^5 - 3*x^4 + 2*x^3 - 2*x^2 + x - 1 (8)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[227, [-40, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-17, 79, -15, 62, 30, 52, -33, -35, 39, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m221(-5,1)* 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 5*x^7 + 10*x^6 - 7*x^5 - 3*x^4 + 2*x^3 - 2*x^2 + x - 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m199(-3,2)* 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 5*x^7 + 12*x^6 - 11*x^5 - 9*x^4 + 13*x^3 + 2*x^2 - 6*x - 1 (7)
Real ramification: [3, 4, 5]
Finite ramification: [[13, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 0, -1, 6, 1, 6, -3, -4, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s423(4,3)* 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 5*x^7 + 12*x^6 - 11*x^5 - 9*x^4 + 13*x^3 + 2*x^2 - 6*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m358(-4,3) 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 5*x^7 + 13*x^6 - 10*x^5 - 11*x^4 + 10*x^3 + x^2 - 4*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 0, 1, 1, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3536(-4,1) 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 5*x^7 + 13*x^6 - 10*x^5 - 11*x^4 + 10*x^3 + x^2 - 4*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m356(3,1) 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 5*x^7 + 13*x^6 - 6*x^5 - 14*x^4 + x^3 + 6*x^2 + x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s732(-3,2) 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 5*x^7 + 13*x^6 - 8*x^5 - 13*x^4 + x^3 + 6*x^2 + 7*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[41, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, -5, 9, 14, 4, 15, 12, 6, 4]~], [97, [47, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [48, -36, 32, -11, 0, 37, -32, 38, 1, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m290(1,3)* 

Field minimum poly (root): x^10 - x^9 - 6*x^8 + 7*x^7 + 15*x^6 - 9*x^5 - 19*x^4 + 3*x^3 + 10*x^2 - 2 (3)
Real ramification: [1]
Finite ramification: [[7, [3, 0, 2, -3, -2, -1, 0, -2, 2, 2]~, 2, 1, [4, 4, 5, 1, 4, 1, 4, 2, 6, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3009(5,1)* 

Field minimum poly (root): x^10 - x^9 - 7*x^8 + 4*x^7 + 12*x^6 - 10*x^5 - 9*x^4 + 15*x^3 - x^2 - 6*x + 4 (6)
Real ramification: [3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 0, 0, 0, 0, 0]~], [17, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -3, -6, -7, -1, 0, -5, -2, 5, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3219(5,2)* 

Field minimum poly (root): x^10 - x^9 - 7*x^8 + 4*x^7 + 23*x^6 + x^5 - 45*x^4 - 18*x^3 + 27*x^2 + 13*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [2, 2, 2, 1, 1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2656(4,1)* 

Field minimum poly (root): x^10 - x^9 - 7*x^8 + 5*x^7 + 13*x^6 - 4*x^5 - 3*x^4 - 3*x^3 - 7*x^2 - 1 (7)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3106(2,3) 

Field minimum poly (root): x^10 - x^9 - 7*x^8 + 5*x^7 + 13*x^6 - 4*x^5 - 3*x^4 - 3*x^3 - 7*x^2 - 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3110(-2,3)* 

Field minimum poly (root): x^10 - x^9 - 9*x^8 + 13*x^7 + 24*x^6 - 45*x^5 - 22*x^4 + 56*x^3 + 5*x^2 - 22*x - 4 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0, 0, 1, 0, 1, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, -1, 1, -1, -1, 0, 1, 1]~], [7, [3, 2, 0, 1, 1, 0, 2, 3, -1, -1]~, 2, 1, [4, 5, 3, 2, 2, 7, 6, 7, 3, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3273(5,1)* 

Field minimum poly (root): x^10 - x^9 - 9*x^8 + 24*x^6 + 23*x^5 - 6*x^4 - 29*x^3 - 38*x^2 - 28*x - 8 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s519(6,1)* 

Field minimum poly (root): x^10 - x^9 - x^7 + 2*x^6 + 5*x^5 - 8*x^4 + 6*x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s847(1,3) 

Field minimum poly (root): x^10 - x^9 - x^7 + 5*x^6 + 3*x^5 - 5*x^4 + x^3 - 4*x^2 + 4*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 7, 1, [1, 0, 1, 0, 0, 1, 1, 1, 0, 1]~], [5, [-1, 2, -2, 1, 1, 0, 1, -2, 0, 0]~, 2, 2, [2, 4, 3, 4, 5, 5, 2, 4, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1669(-5,2) 

Field minimum poly (root): x^10 - x^9 - x^7 + 6*x^6 - 5*x^5 - x^4 - 5*x^3 - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s942(-3,1) 

Field minimum poly (root): x^10 - x^9 - x^8 + 2*x^7 + 3*x^6 - 5*x^5 - x^4 + 8*x^3 - 3*x^2 - 3*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 1, 1, 0, 1, 0, 0, 1, 1, 1]~, 3, 2, [1, 2, 1, 2, 1, 0, 0, 0, 0, 0]~], [2, [1, 0, 0, 0, 0, 0, 1, 0, 0, 0]~, 2, 2, [2, 2, 2, 1, 1, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m168(-4,1) 

Field minimum poly (root): x^10 - x^9 - x^8 + 2*x^7 - 5*x^6 + 3*x^5 + 2*x^4 - 2*x^3 + 4*x^2 - x - 1 (5)
Real ramification: [1, 2, 4]
Finite ramification: [[19, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 1, -4, -9, -2, 6, 2, 0, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(2,3) 

Field minimum poly (root): x^10 - x^9 - x^8 + 4*x^7 + x^6 - 4*x^5 - 3*x^4 + 8*x^3 + 6*x^2 + x - 4 (4)
Real ramification: [2]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2417(1,4)* 

Field minimum poly (root): x^10 - x^9 - x^8 + 4*x^7 - 4*x^6 + 4*x^4 - 5*x^3 + 3*x^2 - x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s820(3,2)* 

Field minimum poly (root): x^10 - x^9 - x^8 + 4*x^7 - 6*x^6 - x^5 - 4*x^4 + x^3 + 9*x^2 + 3*x - 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 1, 0, 1, 0, 1, 0, 0, 1]~, 2, 1, [2, 1, 1, 2, 1, 1, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2238(-1,3)* 

Field minimum poly (root): x^10 - x^9 - x^8 + 9*x^7 - 13*x^6 + 6*x^5 + 17*x^4 - 39*x^3 + 42*x^2 - 28*x + 8 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1, 0, 0, 0, 0]~, 1, 5, [0, 0, 0, 1, 1, 1, 0, 0, 0, 0]~], [5, [-1, -2, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, -2, 1, -1, 1, -2, 1, 0, 2, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3144(-5,1)* 

Field minimum poly (root): x^10 - x^9 - x^8 + x^7 + x^6 - 6*x^4 + x^3 + 7*x^2 - 5*x + 1 (6)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s888(4,1)* 

Field minimum poly (root): x^10 - x^9 - x^8 + x^7 - 4*x^6 + 3*x^5 + 2*x^4 - x^3 + 4*x^2 - 2*x - 1 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2944(1,3)* 

Field minimum poly (root): x^10 - x^9 - x^8 - 2*x^7 + 6*x^6 + 2*x^5 - 12*x^4 + 9*x^3 + x^2 - 8*x + 4 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[13, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 2, 2, 0, 4, 2, 1, 4, 5, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3038(5,2)* 

Field minimum poly (root): x^10 - x^9 - x^8 - 4*x^5 + 3*x^4 + 11*x^3 - x^2 - 7*x - 2 (7)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2974(3,2)* 

Field minimum poly (root): x^10 - x^9 - x^8 - 5*x^6 + 20*x^5 - 32*x^4 + 19*x^3 + 7*x^2 - 5*x - 1 (7)
Real ramification: [2, 3, 4, 6]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 1, 1, 0, 1, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(5,1) s573(4,1) 

Field minimum poly (root): x^10 - x^9 - x^8 - 5*x^7 - 3*x^6 + 14*x^5 + 26*x^4 - 19*x^3 - 31*x^2 + 8*x + 10 (8)
Real ramification: [2, 3, 4, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 1, 0, 0, 0, 0, 1]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, -1, -1, 1, 2, -2, 2, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3516(4,1) v3517(-1,3)* 

Field minimum poly (root): x^10 - x^9 - x^8 - x^7 - x^6 + 6*x^5 - 5*x^4 - x^3 + 9*x^2 - 3*x - 1 (7)
Real ramification: [2, 3, 4, 6]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 1, 0, 0, 0, 0, 1, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 0, 1, 0, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s561(-4,1)* 

Field minimum poly (root): x^11 + 2*x^9 + 3*x^7 - x^6 + 2*x^5 - x^4 + x^3 - 2*x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 6, 1, 0, 5, 2, 2, -5, 1, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s420(-5,1) 

Field minimum poly (root): x^11 + 2*x^9 - 5*x^8 + 2*x^7 - 3*x^6 - 2*x^5 - 22*x^4 - 45*x^3 - 33*x^2 - 10*x - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0]~, 2, 2, [1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1316(5,1)* 

Field minimum poly (root): x^11 + 2*x^9 - x^8 + x^6 + 4*x^5 - 8*x^4 - x^3 + 7*x^2 - 5*x + 1 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3337(-3,2)* 

Field minimum poly (root): x^11 + 4*x^9 + 4*x^7 - 2*x^6 - x^5 - 5*x^4 - 2*x^3 - 2*x^2 - 1 (3)
Real ramification: [1]
Finite ramification: [[257, [126, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-50, 30, 115, -108, 60, 127, 51, 123, -55, -125, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3290(3,2)* 

Field minimum poly (root): x^11 + 4*x^9 + 5*x^7 - 2*x^6 - x^5 - 3*x^4 - 3*x^3 + x^2 - x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1]~], [2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s954(4,1)* 

Field minimum poly (root): x^11 + 6*x^9 - x^8 + 11*x^7 - 5*x^6 + 4*x^5 - 7*x^4 - 6*x^3 - x^2 - 5*x + 2 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, -2, 2, 1, 2, 0, -2, 3, 2, 1]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 2, 6, -2, -3, -1, -5, -6, 3, -6, 1]~], [293, [16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [110, 121, 29, 126, 10, -37, 2, -91, -31, -16, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s591(5,2)* 

Field minimum poly (root): x^11 + x^9 - 3*x^8 - 5*x^7 - x^6 + x^5 + 6*x^4 + 7*x^3 - 6*x^2 + 3*x - 1 (6)
Real ramification: [1]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 1, 0, 0, -1, -1, 0, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1676(-6,1) 

Field minimum poly (root): x^11 + x^9 - 5*x^7 - x^6 - 4*x^5 - 4*x^4 - 3*x^2 + x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[251, [23, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [33, -9, -93, 61, 15, -36, 112, -106, -5, 84, -18]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2886(-3,2)* 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^8 - 5*x^7 + 4*x^6 + 3*x^5 - 3*x^4 + 4*x^3 - 3*x + 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 4, 1, [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1]~], [61, [-13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [14, 6, -23, 12, -27, -7, -29, -30, 21, 11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m162(-2,3)* 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^9 + 2*x^8 - 6*x^7 + 7*x^6 - x^5 - 5*x^4 + 6*x^3 - 2*x^2 - 2*x + 1 (6)
Real ramification: [2, 3, 5]
Finite ramification: [[619, [-219, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-277, -38, -68, -71, 288, 202, 162, 111, -138, 217, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3529(1,2) 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^9 + 2*x^8 - 6*x^7 + 7*x^6 - x^5 - 5*x^4 + 6*x^3 - 2*x^2 - 2*x + 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -1, -3, -1, 2, -2, -1, -1, 2, 0, 1]~], [8941, [1736, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3734, 3731, 3, -2261, -1482, 4425, 667, 561, 4053, -1738, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3125(-1,4) v3310(-7,1)* 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^9 + 2*x^8 - 6*x^7 + 8*x^6 - 2*x^5 - 4*x^4 + 7*x^3 - 3*x^2 - 2*x + 1 (6)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0]~], [83, [22, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [34, 21, 14, 11, -12, 8, 0, -38, 32, -24, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3529(1,3) 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^9 - 3*x^8 - 2*x^7 - x^6 + 7*x^5 + 6*x^4 + 7*x^3 + 11*x^2 + 6*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -1, 0, 0, 1, 0, 0, 1, 0, 0]~], [11, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -5, 0, -2, 3, -5, 3, 5, -4, 2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3508(-3,1)* v3511(-3,1)* 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^9 - 4*x^8 + 4*x^7 - 3*x^6 + 4*x^5 - 2*x^4 - x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, -1, -1, -1, 1, 0, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m297(-4,1) 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^9 - 5*x^8 + 3*x^7 - 6*x^6 + 4*x^5 - 4*x^4 + 4*x^3 + x^2 + 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[11, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -3, -2, -4, 0, -2, 1, 0, 3, 0, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2861(4,1)* v2862(-3,1)* 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^9 - 8*x^8 + 14*x^7 + 8*x^6 - 42*x^5 + 28*x^4 + 21*x^3 - 32*x^2 + 4*x + 8 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[11, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [5, -4, -4, 4, 5, 3, 0, 0, 5, -5, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3011(-2,3)* 

Field minimum poly (root): x^11 - 2*x^10 + 2*x^9 - x^8 + x^7 + 4*x^6 - 9*x^5 + x^4 + 4*x^3 - 3*x^2 + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[491, [-99, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-127, -146, -189, 7, -239, -51, 59, -176, -222, 93, 19]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s921(-4,1) 

Field minimum poly (root): x^11 - 2*x^10 + 3*x^8 - 6*x^7 + x^6 + 4*x^5 + x^4 - 4*x^3 - 2*x^2 + 2*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 0, 2, -1, -1, 1, -1, 0, 0, 2]~], [19, [-9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 8, 8, -7, 9, -8, -4, -1, -2, 5, -2]~], [593, [29, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-188, 178, 212, 108, 228, 204, -107, 23, -295, -33, 17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m300(-1,4) 

Field minimum poly (root): x^11 - 2*x^10 + 3*x^9 + x^8 - 5*x^7 + 10*x^6 - 4*x^5 - x^4 + 8*x^3 - 4*x^2 - 2*x + 1 (6)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, 0, 0, -1, -1, 1, 0, 1, -1]~], [11, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, -1, -4, 2, 5, -3, 5, 4, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3528(-5,1) v3529(-1,3) 

Field minimum poly (root): x^11 - 2*x^10 + 3*x^9 - 3*x^7 + 4*x^6 - 4*x^5 + 4*x^4 + 2*x^3 - 6*x^2 + x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s502(-2,3)* 

Field minimum poly (root): x^11 - 2*x^10 + 3*x^9 - 4*x^8 + x^7 + x^6 - 4*x^5 + 5*x^4 - 2*x^3 + x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[37, [17, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [13, -5, -4, 11, 4, -7, 7, 4, -7, 18, 1]~], [89, [40, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [20, 4, -29, -6, -42, 41, -1, -40, -8, -42, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s763(1,3) 

Field minimum poly (root): x^11 - 2*x^10 + 4*x^7 - x^6 + 2*x^5 - 13*x^4 + 3*x^3 + 7*x^2 - x - 1 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2623(1,2) 

Field minimum poly (root): x^11 - 2*x^10 + 4*x^8 - 2*x^7 - 4*x^6 + 5*x^5 + 2*x^4 - 5*x^3 + x^2 + 3*x - 1 (6)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1]~], [2, [1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0]~, 1, 9, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~], [61, [-10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -7, -13, -13, 29, -22, -14, 11, 19, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s554(4,1) 

Field minimum poly (root): x^11 - 2*x^10 + 4*x^8 - 7*x^7 + 5*x^6 - 7*x^5 + 8*x^4 - 5*x^3 + 3*x - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s528(-4,1)* 

Field minimum poly (root): x^11 - 2*x^10 + 4*x^9 - 2*x^8 + 4*x^7 + 2*x^6 + 4*x^4 - x^3 - 4*x + 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2929(3,2)* 

Field minimum poly (root): x^11 - 2*x^10 + 4*x^9 - 2*x^8 + 9*x^7 - x^6 + 8*x^5 - x^4 - 16*x^3 + 4*x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m372(-6,1)* 

Field minimum poly (root): x^11 - 2*x^10 + 4*x^9 - 6*x^8 + 5*x^7 - 6*x^6 + 2*x^5 - x^4 + 2*x^2 + x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0]~], [83, [9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [37, -4, -27, 3, 18, -11, 19, -20, 20, -11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3509(3,1)* v3510(3,1)* 

Field minimum poly (root): x^11 - 2*x^10 + 4*x^9 - 6*x^8 + 8*x^7 - 10*x^6 + 9*x^5 - 6*x^4 + 2*x^2 - 2*x + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[29, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-12, 6, 2, -2, -14, 3, 9, 2, -12, -8, 11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s908(4,3)* 

Field minimum poly (root): x^11 - 2*x^10 + 5*x^9 - 6*x^8 + 2*x^7 + 4*x^6 - 11*x^5 + 5*x^4 - x^3 + 3*x + 1 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s495(-1,4)* 

Field minimum poly (root): x^11 - 2*x^10 + 5*x^9 - 6*x^8 + 4*x^7 - x^6 - 3*x^5 + 4*x^4 + x^3 - x^2 - 3*x + 2 (6)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1]~], [2, [3, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 4, [0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0]~], [2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 4, [0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3011(-4,1) 

Field minimum poly (root): x^11 - 2*x^10 + 5*x^9 - 7*x^8 - x^7 + 2*x^6 - 13*x^5 + 5*x^4 + 16*x^3 - 6*x^2 - 8*x + 4 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 0, -2, 2, -2, 1, 2, 1, -1, -2, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s918(4,1) 

Field minimum poly (root): x^11 - 2*x^10 + 6*x^7 - 21*x^6 + 39*x^5 - 34*x^4 + 17*x^3 + 14*x^2 - 16*x + 16 (3)
Real ramification: []
Finite ramification: [[2, [0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0]~, 2, 1, [2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1]~], [2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0]~], [2, [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0]~, 1, 1, [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1]~], [19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -4, -4, 0, -8, 4, 1, -6, 4, -1, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3328(-4,1)* 

Field minimum poly (root): x^11 - 2*x^10 + 8*x^8 - 11*x^7 - 8*x^6 + 19*x^5 + 4*x^4 - 13*x^3 - 3*x^2 + 3*x + 1 (8)
Real ramification: [1, 3, 4]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, -1, 1, 1, 1, 1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s477(-3,4)* 

Field minimum poly (root): x^11 - 2*x^10 + x^8 + 5*x^7 - 12*x^6 + 5*x^5 + 2*x^4 + 2*x^3 - 6*x^2 - x + 1 (6)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3162(6,1) 

Field minimum poly (root): x^11 - 2*x^10 + x^9 + x^8 + x^7 - 11*x^6 + 10*x^5 + 2*x^4 + 3*x^3 - 13*x^2 + 7*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3509(-3,1) v3510(-3,1) 

Field minimum poly (root): x^11 - 2*x^10 + x^9 - 3*x^7 + 3*x^6 - 2*x^5 + 2*x^3 - x^2 + x + 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[137, [38, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-18, -68, 27, 39, 17, 68, -63, 16, 14, -40, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m011(1,4) 

Field minimum poly (root): x^11 - 2*x^10 + x^9 - 3*x^7 + 3*x^6 - 2*x^5 + 2*x^3 - x^2 + x + 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[17, [11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 5, 1, -3, 8, -4, -4, -3, 8, 4, 1]~], [271, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [135, 67, 34, 16, 8, 5, 1, 2, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s540(-1,4)* 

Field minimum poly (root): x^11 - 2*x^10 + x^9 - x^8 - 5*x^7 + 14*x^6 - 4*x^5 - 13*x^4 + 12*x^3 + x^2 - 4*x + 1 (9)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m289(6,1)* 

Field minimum poly (root): x^11 - 2*x^10 - 2*x^8 + 9*x^7 - 10*x^6 + 5*x^5 - 2*x^4 - 2*x^3 - x^2 - 3*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1]~, 2, 1, [1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1]~], [7, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 3, 1, -3, -1, -3, 2, 3, -1, 0, -2]~], [103, [-16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-35, 2, -20, 31, 28, 47, -20, 16, 35, 7, 15]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2923(-2,3) v3247(-1,3) 

Field minimum poly (root): x^11 - 2*x^10 - 2*x^9 + 13*x^8 - 12*x^7 - 3*x^6 + 14*x^5 - 13*x^4 - 10*x^3 + 19*x^2 - 8*x + 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s921(1,3)* 

Field minimum poly (root): x^11 - 2*x^10 - 2*x^9 + 5*x^8 + x^7 - 2*x^6 - 6*x^5 + 6*x^4 + 7*x^3 - 5*x^2 - 2*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m222(-4,1) 

Field minimum poly (root): x^11 - 2*x^10 - 2*x^9 + 6*x^8 - 6*x^6 + 6*x^5 - 4*x^4 - 3*x^3 + 2*x^2 + 2*x + 1 (6)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]~, 1, 6, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 1, 1, -2, 2, 1, 0, -1, -1, -1, 1]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 6, 0, 0, -4, -3, 6, 2, -5, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m376(4,1) 

Field minimum poly (root): x^11 - 2*x^10 - 2*x^9 + 6*x^8 - 6*x^6 + 6*x^5 - 4*x^4 - 3*x^3 + 2*x^2 + 2*x + 1 (6)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s448(4,1) 

Field minimum poly (root): x^11 - 2*x^10 - 2*x^9 + 7*x^8 - 11*x^7 + 4*x^6 + 5*x^5 - 14*x^4 - 2*x^3 + 6*x^2 + x - 1 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s719(6,1) 

Field minimum poly (root): x^11 - 2*x^10 - 2*x^9 + 8*x^8 - 6*x^7 - 5*x^6 + 8*x^5 + x^3 - x^2 - 2*x + 1 (9)
Real ramification: [2, 3, 4, 5, 7]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2758(-3,1)* 

Field minimum poly (root): x^11 - 2*x^10 - 2*x^9 + 9*x^8 - 3*x^7 - 16*x^6 + 7*x^5 + 13*x^4 - 4*x^3 - 6*x^2 + x + 1 (6)
Real ramification: [2, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s933(3,2) 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 10*x^8 + 3*x^7 - 16*x^6 - x^5 + 15*x^4 + 5*x^3 - 6*x^2 - 2*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0]~], [11, [-3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 7, 7, 1, 2, 10, 9, 2, 4, 2, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2770(-3,1) 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 10*x^8 - 5*x^7 - 10*x^6 + 16*x^5 - 6*x^4 - 6*x^3 + 6*x^2 - 3*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[131, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-55, 30, 13, 2, 15, -4, 8, 4, -8, 4, 23]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m260(1,2)* 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 13*x^8 - 4*x^7 - 23*x^6 + 10*x^5 + 20*x^4 - 5*x^3 - 9*x^2 + x + 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2951(-4,1) 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 13*x^8 - 4*x^7 - 23*x^6 + 10*x^5 + 20*x^4 - 5*x^3 - 9*x^2 + x + 2 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0]~], [19, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -9, 0, -1, 8, 8, 9, 5, -6, -7, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3266(2,3)* 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 6*x^8 + 11*x^7 - 23*x^6 - 8*x^5 + 33*x^4 - 3*x^3 - 16*x^2 + 2*x + 1 (9)
Real ramification: [2, 3, 5, 6]
Finite ramification: [[3, [4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, -1, 1, 1, -1, 0, -1, -1, 1, 1, 0]~], [5, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -2, -2, 0, -1, 1, 0, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2920(6,1)* 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 6*x^8 + 11*x^7 - 23*x^6 - 8*x^5 + 33*x^4 - 3*x^3 - 16*x^2 + 2*x + 1 (9)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2919(6,1)* 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 8*x^8 - x^7 - 10*x^6 + 4*x^5 + x^4 - 3*x^3 + 4*x^2 + x - 1 (6)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0]~, 1, 9, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m376(-4,1)* 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 8*x^8 - x^7 - 10*x^6 + 4*x^5 + x^4 - 3*x^3 + 4*x^2 + x - 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s448(-4,1)* 

Field minimum poly (root): x^11 - 2*x^10 - 3*x^9 + 9*x^7 + 11*x^6 - x^5 - 12*x^4 - 13*x^3 - 4*x^2 + 2*x + 1 (8)
Real ramification: [2, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s912(1,1) 

Field minimum poly (root): x^11 - 2*x^10 - 4*x^9 + 12*x^8 + 2*x^7 - 24*x^6 + 6*x^5 + 27*x^4 - 19*x^3 - 8*x^2 + 11*x - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, 1, 1, -1, 0, 0, 2, 2, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s903(3,1) 

Field minimum poly (root): x^11 - 2*x^10 - 4*x^9 + 13*x^8 - 6*x^7 - 18*x^6 + 31*x^5 - 14*x^4 - 9*x^3 + 15*x^2 - 7*x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[103, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [51, 29, 7, 8, 11, -10, 4, 5, -4, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2780(-4,3) 

Field minimum poly (root): x^11 - 2*x^10 - 4*x^9 + 5*x^8 + 8*x^7 + x^6 - 9*x^5 - 8*x^4 + x^3 + 5*x^2 + 4*x + 1 (6)
Real ramification: [3, 4, 5]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3390(-3,1) 

Field minimum poly (root): x^11 - 2*x^10 - 4*x^9 + 8*x^8 + 6*x^7 - 7*x^6 - 10*x^5 - x^4 + 11*x^3 - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0]~, 1, 9, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m234(4,1)* 

Field minimum poly (root): x^11 - 2*x^10 - 4*x^9 + 8*x^8 + 7*x^7 - 15*x^6 - 4*x^5 + 15*x^4 - 7*x^2 + x + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[317, [-46, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [62, 22, 104, -108, 18, -96, -50, 47, 118, 44, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3200(3,2) 

Field minimum poly (root): x^11 - 2*x^10 - 6*x^9 + 13*x^8 + 8*x^7 - 25*x^6 + 4*x^5 + 18*x^4 - 10*x^3 - 5*x^2 + 2*x + 1 (9)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2725(-3,2) 

Field minimum poly (root): x^11 - 2*x^10 - 6*x^9 + 14*x^8 + 2*x^7 - 32*x^6 + 15*x^5 + 23*x^4 - 17*x^3 - 2*x^2 + 4*x - 1 (9)
Real ramification: [2, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s173(-3,2) 

Field minimum poly (root): x^11 - 2*x^10 - 6*x^9 + 14*x^8 + 9*x^7 - 33*x^6 + 6*x^5 + 24*x^4 - 14*x^3 + 4*x - 4 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0]~], [2, [0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0]~, 3, 2, [2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 2, -1, -2, 2, 2, 2, -2, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m262(-1,4)* 

Field minimum poly (root): x^11 - 2*x^10 - 7*x^9 + 11*x^8 + 22*x^7 - 23*x^6 - 34*x^5 + 22*x^4 + 20*x^3 - 9*x^2 - 3*x + 1 (8)
Real ramification: [2, 3, 4, 7]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0]~], [23, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, 11, 6, -11, -6, -7, -11, 9, 9, 1, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3264(-2,3)* 

Field minimum poly (root): x^11 - 2*x^10 - 7*x^9 + 13*x^8 + 21*x^7 - 28*x^6 - 37*x^5 + 19*x^4 + 36*x^3 + 5*x^2 - 10*x - 4 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(3,2) 

Field minimum poly (root): x^11 - 2*x^10 - 7*x^9 + 14*x^8 + 18*x^7 - 33*x^6 - 24*x^5 + 30*x^4 + 20*x^3 - 10*x^2 - 6*x + 1 (8)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2573(2,3)* 

Field minimum poly (root): x^11 - 2*x^10 - x^9 + 2*x^8 + 6*x^7 - 8*x^6 - 12*x^5 + 23*x^4 - 14*x^2 + 7*x - 1 (9)
Real ramification: [1, 4, 5, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3351(-5,1) 

Field minimum poly (root): x^11 - 2*x^10 - x^9 + 5*x^8 - 4*x^7 + 3*x^6 - 7*x^5 + 4*x^4 - 3*x^3 - 5*x^2 - 6*x - 2 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 2, -2, 2, 1, 2, 0, 2, -1, 2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s958(5,2) 

Field minimum poly (root): x^11 - 2*x^10 - x^9 + 5*x^8 - 4*x^7 - 3*x^6 + 4*x^5 + 3*x^4 + 2*x^3 - 3*x^2 - 2*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3335(1,2)* 

Field minimum poly (root): x^11 - 2*x^10 - x^9 + 9*x^8 - 10*x^7 - 5*x^6 + 23*x^5 - 13*x^4 - 25*x^3 + 3*x^2 + 6*x + 1 (8)
Real ramification: [3, 4, 5, 6, 7]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, -2, 1, 1, 0, 0, 1, -2, 2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s175(-5,1)* 

Field minimum poly (root): x^11 - 2*x^10 - x^9 - 3*x^8 + 6*x^7 + 7*x^6 + 7*x^5 + 6*x^4 - 19*x^3 - 5*x^2 + 6*x + 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1]~, 3, 2, [1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2738(-1,4) 

Field minimum poly (root): x^11 - 2*x^9 - 2*x^8 + 3*x^7 + 8*x^6 + 3*x^5 - 3*x^4 - 5*x^3 - 3*x^2 + 2*x + 1 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s703(-4,1)* 

Field minimum poly (root): x^11 - 2*x^9 - 2*x^8 + 4*x^7 + 5*x^6 - 7*x^5 - x^4 - 4*x^3 + 2*x^2 + 4*x + 1 (3)
Real ramification: [1]
Finite ramification: [[11, [5, -3, 2, 1, -1, -4, -5, 5, -4, 1, 1]~, 1, 1, [10, 10, 3, 4, 11, 8, 11, 9, 8, 2, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3143(3,2) 

Field minimum poly (root): x^11 - 2*x^9 - 4*x^8 - x^7 + 10*x^6 + 3*x^5 - 13*x^4 - 3*x^3 + 9*x^2 + x - 2 (8)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1]~], [131, [39, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [65, -62, 7, -56, -56, 24, -43, -18, -46, -58, 61]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s849(4,1)* 

Field minimum poly (root): x^11 - 2*x^9 - 5*x^7 - 6*x^6 + 8*x^5 + 11*x^4 - 3*x^3 - 7*x^2 + x + 1 (6)
Real ramification: [2, 3]
Finite ramification: [[19, [9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 2, 5, -9, 0, 5, -9, 8, -8, -3, 4]~], [43, [18, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -14, -2, -19, 18, -4, 5, 6, 10, -12, -20]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s827(-4,1) 

Field minimum poly (root): x^11 - 2*x^9 - x^8 - 3*x^7 - 3*x^5 - 2*x^4 - 2*x^3 + 4*x^2 + x - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s881(-3,4)* 

Field minimum poly (root): x^11 - 2*x^9 - x^8 - 3*x^7 - 3*x^6 + 3*x^5 - 4*x^4 + x^3 - 3*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2573(-1,4)* 

Field minimum poly (root): x^11 - 2*x^9 - x^8 - 4*x^7 + 5*x^6 + 3*x^5 + 5*x^4 - 2*x^3 - 3*x^2 - 2*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[29, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -14, -3, 5, 0, -14, 8, -2, 5, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(3,2)* 

Field minimum poly (root): x^11 - 2*x^9 - x^8 - 4*x^7 + 5*x^6 + 3*x^5 + 5*x^4 - 2*x^3 - 3*x^2 - 2*x - 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s183(5,1) 

Field minimum poly (root): x^11 - 3*x^10 + 12*x^8 - 22*x^7 + 9*x^6 + 15*x^5 - 13*x^4 - 7*x^3 + 16*x^2 - 9*x + 2 (5)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, -1, -2, 1, 0, 0, 2, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2467(5,2)* 

Field minimum poly (root): x^11 - 3*x^10 + 2*x^9 - 5*x^7 + 16*x^6 - 15*x^5 + 8*x^4 - 7*x^2 + 5*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 2, [1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m360(-1,4)* 

Field minimum poly (root): x^11 - 3*x^10 + 2*x^9 - x^8 + x^7 + 7*x^6 - 10*x^5 + 10*x^4 - 15*x^3 + 9*x^2 - 6*x + 4 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0]~], [2, [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0]~, 1, 9, [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2901(5,1)* 

Field minimum poly (root): x^11 - 3*x^10 + 3*x^9 + 2*x^8 - 6*x^7 + 3*x^6 + x^5 + x^4 - 2*x^3 - x^2 + x + 1 (4)
Real ramification: [1]
Finite ramification: [[6277, [1068, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2827, 2142, 956, 2879, 1114, 1674, -2664, -597, 1417, -1071, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3199(-1,2) 

Field minimum poly (root): x^11 - 3*x^10 + 3*x^9 + 4*x^8 - 10*x^7 + 3*x^6 + 14*x^5 - 19*x^4 + 8*x^3 + 2*x^2 - 11*x + 7 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -4, 5, -4, -4, -4, -5, 1, -2, 2, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2910(1,3) 

Field minimum poly (root): x^11 - 3*x^10 + 4*x^9 + x^8 - 10*x^7 + 13*x^6 - 15*x^4 + 9*x^3 + 2*x^2 - 5*x + 2 (4)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s495(3,2)* 

Field minimum poly (root): x^11 - 3*x^10 + 4*x^9 - 3*x^8 - 3*x^7 + 11*x^6 - 14*x^5 + 11*x^4 - 8*x^3 + 7*x^2 - x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[13, [3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [4, -3, 3, 5, -5, -3, 3, -2, -5, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1261(4,1) 

Field minimum poly (root): x^11 - 3*x^10 + 4*x^9 - 4*x^8 + 2*x^7 + 4*x^6 - 12*x^5 + 17*x^4 - 15*x^3 + 10*x^2 - 4*x + 1 (6)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3193(-1,4)* 

Field minimum poly (root): x^11 - 3*x^10 + 4*x^9 - 4*x^8 + 6*x^7 - 6*x^6 + 3*x^5 + 2*x^4 - 6*x^3 + 4*x^2 + x - 1 (5)
Real ramification: [1, 3]
Finite ramification: [[17, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -6, -8, 3, 0, 1, 6, 7, 3, 2, 0]~], [179, [13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [61, -81, 68, -80, -56, -42, -88, -73, 28, -10, 17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3262(-3,2) 

Field minimum poly (root): x^11 - 3*x^10 + 5*x^9 - 2*x^8 + 4*x^7 + 6*x^6 - 28*x^5 + 20*x^4 - 8*x^3 - 2*x^2 + 4*x - 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3007(2,3)* v3008(5,1) 

Field minimum poly (root): x^11 - 3*x^10 + 5*x^9 - 3*x^8 - 2*x^7 + 7*x^6 - 7*x^5 + 4*x^4 - 2*x^2 + 3*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1]~], [13, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -3, 2, -4, 3, 6, 2, 5, -3, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3399(1,4) 

Field minimum poly (root): x^11 - 3*x^10 + 5*x^9 - 6*x^8 + 4*x^7 + 3*x^6 - 6*x^5 + 5*x^4 - 6*x^3 - x^2 + 4*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 2, 2, -1, 0, -1, -2, 2, -1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m160(-1,4) 

Field minimum poly (root): x^11 - 3*x^10 + 6*x^9 - 9*x^8 + 6*x^7 - 2*x^5 - 9*x^4 + 6*x^3 + 7*x^2 - 3*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3184(-8,1) 

Field minimum poly (root): x^11 - 3*x^10 + 7*x^9 - 9*x^8 + 10*x^7 - 6*x^6 + 2*x^5 + 2*x^4 - 3*x^3 + x^2 - 2*x - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[101, [-28, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-18, -15, -15, 14, -14, -15, -40, -9, 0, 25, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2917(-2,3) 

Field minimum poly (root): x^11 - 3*x^10 + 8*x^8 - 12*x^7 + 6*x^6 + 5*x^5 - 10*x^4 + 6*x^3 + 3*x^2 - 3*x + 2 (4)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1]~], [73, [32, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 32, -8, 3, -18, 17, -5, 9, 19, -29, 18]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v1065(-4,1) 

Field minimum poly (root): x^11 - 3*x^10 + 8*x^8 - 7*x^7 - 12*x^6 + 17*x^5 + 26*x^4 - 7*x^3 - 22*x^2 - 9*x - 1 (7)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3248(5,1)* 

Field minimum poly (root): x^11 - 3*x^10 + 9*x^9 - 16*x^8 + 23*x^7 - 28*x^6 + 15*x^5 - 8*x^4 - 2*x^3 + 16*x^2 - 2*x - 4 (5)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3425(-5,2)* 

Field minimum poly (root): x^11 - 3*x^10 + x^9 + 2*x^8 - 2*x^7 + 9*x^6 - 9*x^5 - x^3 - x^2 + 3*x - 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s657(1,3) 

Field minimum poly (root): x^11 - 3*x^10 + x^9 + 6*x^8 - 10*x^7 + 11*x^6 + 2*x^5 - 12*x^4 - 4*x^2 + 8*x - 16 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0]~, 2, 1, [2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3133(4,1)* 

Field minimum poly (root): x^11 - 3*x^10 + x^9 + 6*x^8 - 7*x^7 - 2*x^6 + 10*x^5 - 8*x^4 - 2*x^3 + 7*x^2 - 3*x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s554(2,3) 

Field minimum poly (root): x^11 - 3*x^10 + x^9 + 7*x^8 - 11*x^7 + 5*x^6 - 4*x^5 + 2*x^4 + 5*x^3 - 3*x^2 + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [1, -1, 1, 2, 1, 0, -1, 2, 0, 1, 0]~, 3, 1, [3, 5, 1, 3, 1, 2, 4, 2, 4, 1, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s850(3,1)* 

Field minimum poly (root): x^11 - 3*x^10 + x^9 - x^7 + 19*x^6 - 21*x^5 - 22*x^4 + 30*x^3 + 5*x^2 - 10*x + 2 (9)
Real ramification: [2, 3, 4]
Finite ramification: [[19, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -7, 5, 5, 9, -6, -2, 3, -9, -5, -4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2057(-5,1) 

Field minimum poly (root): x^11 - 3*x^10 - 2*x^9 + 11*x^8 + 2*x^7 - 15*x^6 - 6*x^5 + 8*x^4 + 5*x^3 - x^2 - 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 2, -2, 0, 3, 1, 1, 3, 3, -1, 1]~], [41, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [10, 18, -15, 5, 11, 6, 5, -11, -15, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m392(3,2)* s528(5,1) 

Field minimum poly (root): x^11 - 3*x^10 - 2*x^9 + 15*x^8 - 9*x^7 - 17*x^6 + 16*x^5 + 11*x^4 - 13*x^3 - 7*x^2 + 6*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1]~, 2, 2, [1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s761(-4,1)* 

Field minimum poly (root): x^11 - 3*x^10 - 2*x^9 + 15*x^8 - 9*x^7 - 27*x^6 + 34*x^5 + 9*x^4 - 33*x^3 + 9*x^2 + 3*x - 1 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1858(1,3) 

Field minimum poly (root): x^11 - 3*x^10 - 3*x^9 + 12*x^8 + 7*x^7 - 17*x^6 - 24*x^5 + 11*x^4 + 34*x^3 - 2*x^2 - 7*x - 1 (7)
Real ramification: [1, 3, 5]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1]~, 2, 1, [1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3259(-5,1)* 

Field minimum poly (root): x^11 - 3*x^10 - 3*x^9 + 13*x^8 + 5*x^7 - 20*x^6 - 15*x^5 + 16*x^4 + 18*x^3 - x^2 - 6*x - 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0]~], [71, [28, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [25, -14, -25, 9, 28, 24, 34, 4, 26, 9, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2417(-2,3)* 

Field minimum poly (root): x^11 - 3*x^10 - 3*x^9 + 17*x^8 - 6*x^7 - 31*x^6 + 32*x^5 + 10*x^4 - 33*x^3 + 15*x^2 + 6*x - 4 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 3, 1, 3, -2, -2, 5, 4, -4, 5, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m120(-2,3) 

Field minimum poly (root): x^11 - 3*x^10 - 4*x^9 + 14*x^8 + 14*x^7 - 33*x^6 - 35*x^5 + 53*x^4 + 28*x^3 - 35*x^2 - 3*x + 4 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3187(-5,1) 

Field minimum poly (root): x^11 - 3*x^10 - 4*x^9 + 19*x^8 - 6*x^7 - 27*x^6 + 15*x^5 + 15*x^4 - 5*x^3 - 3*x^2 - 2*x - 1 (9)
Real ramification: [2, 3, 4, 5, 7]
Finite ramification: [[2, [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0]~, 1, 6, [1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m340(7,1) 

Field minimum poly (root): x^11 - 3*x^10 - 5*x^9 + 20*x^8 + 3*x^7 - 42*x^6 + 14*x^5 + 28*x^4 - 17*x^3 - x^2 + 4*x - 1 (10)
Real ramification: [1, 2, 3, 4, 6, 7, 8]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, -1, -2, 0, -2, 0, 1, -2, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m007(-5,2)* 

Field minimum poly (root): x^11 - 3*x^10 - 5*x^9 + 20*x^8 - 9*x^7 + 9*x^6 - 55*x^5 + 49*x^4 + 14*x^3 - 41*x^2 + 22*x - 4 (7)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3338(-6,1) 

Field minimum poly (root): x^11 - 3*x^10 - x^9 + 10*x^8 - 7*x^7 - 16*x^6 + 4*x^5 + 22*x^4 - 4*x^3 - 13*x^2 + 7*x - 1 (9)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2640(-3,2)* 

Field minimum poly (root): x^11 - 3*x^10 - x^9 + 10*x^8 - 7*x^7 - 16*x^6 + 4*x^5 + 22*x^4 - 4*x^3 - 13*x^2 + 7*x - 1 (9)
Real ramification: [2, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2643(3,2) 

Field minimum poly (root): x^11 - 3*x^10 - x^9 + 11*x^8 - 3*x^7 - 16*x^6 + 3*x^5 + 8*x^4 - 3*x^3 + 2*x^2 + 3*x - 3 (6)
Real ramification: [1, 3, 5]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0]~, 1, 2, [1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0]~], [3, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0, 1, 0, 1, -1, 0, -1]~], [83, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-39, 19, 10, 5, 0, -3, 8, 4, -3, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2078(6,1)* 

Field minimum poly (root): x^11 - 3*x^10 - x^9 + 11*x^8 - 7*x^7 - 14*x^6 + 18*x^5 + 3*x^4 - 14*x^3 + 3*x^2 + 3*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[113, [17, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-20, 8, 13, 25, 12, 7, 32, 11, 0, -20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3519(-2,3) 

Field minimum poly (root): x^11 - 3*x^10 - x^9 + 11*x^8 - 7*x^7 - 14*x^6 + 18*x^5 + 3*x^4 - 14*x^3 + 3*x^2 + 3*x - 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3520(2,3)* 

Field minimum poly (root): x^11 - 3*x^10 - x^9 + 11*x^8 - 9*x^7 - 9*x^6 + 13*x^5 + 2*x^4 - 6*x^3 - x^2 + 2*x + 1 (8)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m326(-2,3) 

Field minimum poly (root): x^11 - 3*x^10 - x^9 + 7*x^8 + 4*x^6 - 16*x^5 - 12*x^4 + 24*x^3 + 7*x^2 - 8*x - 1 (9)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2914(-3,1) 

Field minimum poly (root): x^11 - 3*x^7 - x^6 - 3*x^5 - 2*x^4 - x^2 + x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[59, [26, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [25, -10, -11, -20, -22, 3, 18, 6, 27, -26, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s955(3,1)* s957(3,1)* s960(3,1)* 

Field minimum poly (root): x^11 - 3*x^8 + 2*x^7 + 12*x^6 - 9*x^5 - 18*x^4 + 4*x^3 + 10*x^2 + x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2636(-4,1) 

Field minimum poly (root): x^11 - 3*x^8 - x^7 - 3*x^6 - 7*x^5 + 22*x^4 - 24*x^3 + 32*x^2 + 16*x - 32 (8)
Real ramification: [1, 4]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3261(6,1)* 

Field minimum poly (root): x^11 - 3*x^9 + 3*x^7 - x^6 - 2*x^5 + 2*x^3 + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0]~, 3, 2, [1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 2, 0, 2, 2, 2, -1, -1, -1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2101(-3,4) 

Field minimum poly (root): x^11 - 3*x^9 + 4*x^7 - 2*x^6 - 6*x^5 + 2*x^4 + 8*x^3 + x^2 - 3*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[61, [23, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, -21, -7, -2, -29, 1, -24, -20, -23, -23, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s490(2,3) 

Field minimum poly (root): x^11 - 3*x^9 + 9*x^7 - 3*x^6 - 10*x^5 + 7*x^4 + 5*x^3 - 5*x^2 - x + 1 (6)
Real ramification: [1, 3]
Finite ramification: [[11, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 4, 0, -4, 0, 1, -2, 3, 1, 2, -4]~], [107, [41, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [45, -10, -28, -40, 7, -34, -7, 6, -33, -44, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3205(3,2)* 

Field minimum poly (root): x^11 - 3*x^9 - 2*x^8 + 3*x^7 - 3*x^6 - 9*x^5 - 3*x^4 + 8*x^3 + 4*x^2 - 5*x + 1 (5)
Real ramification: [3]
Finite ramification: [[73, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-14, 26, -8, 27, -33, -4, -33, 30, 22, -29, 16]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s709(-3,1)* 

Field minimum poly (root): x^11 - 3*x^9 - 3*x^8 + 3*x^7 + 6*x^6 - 5*x^4 - x^3 + 3*x^2 + x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m159(1,4)* 

Field minimum poly (root): x^11 - 3*x^9 - 3*x^8 + 3*x^7 + 6*x^6 - 5*x^4 - x^3 + 3*x^2 + x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[31, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, 10, 1, -13, -10, 3, 4, 9, 15, 7, 1]~], [179, [89, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, -2, -2, 6, 12, 12, 18, 42, -89, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m161(1,4)* 

Field minimum poly (root): x^11 - 3*x^9 - 3*x^8 + x^7 + 4*x^6 + 5*x^5 + 2*x^4 - x^3 + x^2 + x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[1109, [-112, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [501, -549, 99, -205, -187, 232, 102, -519, 336, 115, 13]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m081(1,3)* 

Field minimum poly (root): x^11 - 3*x^9 - 4*x^8 + 3*x^7 + 8*x^6 - x^4 - 3*x^2 - x + 2 (7)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1]~], [311, [35, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-146, -138, 136, 24, -54, -34, -60, 135, -26, -43, 19]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3091(3,2) 

Field minimum poly (root): x^11 - 3*x^9 - x^8 + 3*x^7 + 2*x^6 - 2*x^5 - 2*x^4 + x^3 + 3*x^2 - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0]~], [43, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [21, 11, -4, -19, -13, -16, 9, -3, 1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m178(1,4) 

Field minimum poly (root): x^11 - 3*x^9 - x^8 + 3*x^7 + 2*x^6 - 2*x^5 - 2*x^4 + x^3 + 3*x^2 - 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[23, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, 6, 10, 7, 7, 7, 9, -3, 1, -2, 1]~], [181, [19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, -1, -76, -15, -66, 51, 26, 75, -4, -19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m179(1,4) 

Field minimum poly (root): x^11 - 4*x^10 + 15*x^8 - 13*x^7 - 11*x^6 + 25*x^5 - 7*x^4 - 9*x^3 + 8*x^2 - 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0]~], [41, [-12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-18, 1, 19, -1, 20, -14, 9, 19, 13, 7, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3310(-5,1) 

Field minimum poly (root): x^11 - 4*x^10 + 15*x^8 - 14*x^7 - 9*x^6 + 24*x^5 - 3*x^4 - 5*x^3 - 5*x^2 + 5*x - 1 (9)
Real ramification: [1, 3, 4, 5, 7]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1]~], [3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 1, 0, 0, 0, 0, 1, -1, 1, 1]~], [5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, -2, 1, -2, -2, -1, 1, 2, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m372(1,3)* m373(5,1)* 

Field minimum poly (root): x^11 - 4*x^10 + 16*x^8 - 13*x^7 - 13*x^6 + 16*x^5 - 3*x^4 - 4*x^3 + 2*x^2 + 3*x + 1 (8)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2919(5,2)* 

Field minimum poly (root): x^11 - 4*x^10 + 16*x^8 - 13*x^7 - 13*x^6 + 16*x^5 - 3*x^4 - 4*x^3 + 2*x^2 + 3*x + 1 (8)
Real ramification: [1, 4, 5]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2920(5,2)* 

Field minimum poly (root): x^11 - 4*x^10 + 2*x^9 + 12*x^8 - 22*x^7 - 3*x^6 + 30*x^5 - 13*x^4 - 3*x^3 + 3*x^2 - 3*x + 1 (6)
Real ramification: [1, 2, 5]
Finite ramification: [[7, [3, -3, 3, 0, 0, 2, -1, -1, -3, 0, 1]~, 2, 1, [3, 5, 4, 6, 3, 1, 4, 7, 4, 3, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3522(-2,3) 

Field minimum poly (root): x^11 - 4*x^10 + 2*x^9 + 15*x^8 - 23*x^7 - 9*x^6 + 30*x^5 - 6*x^4 - 15*x^3 + 7*x^2 + 8*x - 4 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0]~], [2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 4, [0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 4, [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s924(-1,3) 

Field minimum poly (root): x^11 - 4*x^10 + 3*x^9 + 10*x^8 - 18*x^7 - 4*x^6 + 31*x^5 - 17*x^4 - 17*x^3 + 25*x^2 - 10*x + 1 (7)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1676(-3,2)* 

Field minimum poly (root): x^11 - 4*x^10 + 3*x^9 + 7*x^8 - 7*x^7 - 9*x^6 + 9*x^5 + 11*x^4 - 14*x^3 - x + 3 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[97, [-41, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [23, 25, 23, 29, 22, 34, 6, -3, 29, -16, -19]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3142(3,1) 

Field minimum poly (root): x^11 - 4*x^10 + 4*x^9 + 3*x^8 - 5*x^7 + 2*x^6 - 8*x^5 + 3*x^4 + 11*x^3 - 2*x^2 - 4*x - 2 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3333(3,2) 

Field minimum poly (root): x^11 - 4*x^10 + 4*x^9 + x^8 - 5*x^7 + 3*x^6 + 6*x^5 + x^4 + x^3 - 3*x^2 - 3*x + 2 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0]~], [2, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2371(4,1) 

Field minimum poly (root): x^11 - 4*x^10 + 4*x^9 + x^8 - 5*x^7 + 8*x^6 - 3*x^5 - 2*x^4 - 5*x^3 + 3*x^2 + 2*x - 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[31, [11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-15, 15, -15, 15, -11, -7, 2, 1, 14, -13, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s490(4,1) 

Field minimum poly (root): x^11 - 4*x^10 + 4*x^9 - 2*x^8 + 14*x^7 - 28*x^6 + 11*x^5 + 27*x^4 - 43*x^3 + 21*x^2 - x - 4 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, -1, 0, 1, 1, 0, 0, 0, -1, 0, -1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2878(-4,3) 

Field minimum poly (root): x^11 - 4*x^10 + 5*x^9 + x^8 - 6*x^7 + x^6 + 2*x^5 + 8*x^4 - 13*x^3 + 2*x^2 + 5*x - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[67, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [17, 25, 9, -9, 32, -11, -8, 12, -18, 7, 24]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m120(-5,1) 

Field minimum poly (root): x^11 - 4*x^10 + 5*x^9 - 2*x^8 + 6*x^7 - 24*x^6 + 40*x^5 - 37*x^4 + 17*x^3 + 9*x^2 - 16*x + 4 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s938(1,2)* 

Field minimum poly (root): x^11 - 4*x^10 + 5*x^9 - 3*x^8 + x^7 + 3*x^6 - 2*x^5 + 2*x^4 - 3*x^3 - x^2 - 2*x - 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0]~], [7, [-1, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, -2, 3, 3, 3, 0, 0, -1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m141(-3,4) 

Field minimum poly (root): x^11 - 4*x^10 + 6*x^9 - 11*x^8 + 26*x^7 - 31*x^6 + 12*x^5 + 12*x^4 - 25*x^3 + 14*x^2 + x - 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3327(4,1) 

Field minimum poly (root): x^11 - 4*x^10 + 7*x^9 - 10*x^8 + 12*x^7 - 12*x^6 + 17*x^5 - 20*x^4 + 21*x^3 - 15*x^2 - 12*x + 16 (8)
Real ramification: [1, 4, 5]
Finite ramification: [[13, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -3, -1, -5, -3, 6, -5, 2, 0, -5, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s350(5,2) 

Field minimum poly (root): x^11 - 4*x^10 + 7*x^9 - 11*x^8 + 8*x^7 + 4*x^6 + 4*x^5 + 5*x^4 - 32*x^3 + 5*x^2 + 12*x + 2 (6)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1]~], [7, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -3, 0, -2, 1, 0, -2, -1, -1, 0, 2]~], [13, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -4, -5, -2, -4, -1, 6, -6, 6, 4, -5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3465(4,1) 

Field minimum poly (root): x^11 - 4*x^10 + 7*x^9 - 7*x^8 + x^7 + 8*x^6 - 12*x^5 + 6*x^4 + 3*x^3 - 4*x^2 + x + 1 (7)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2051(-1,2) 

Field minimum poly (root): x^11 - 4*x^10 + 7*x^9 - 9*x^8 + 10*x^7 - 8*x^6 + 2*x^5 + 5*x^4 - 8*x^3 + 4*x + 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m180(-5,3)* 

Field minimum poly (root): x^11 - 4*x^10 + x^9 + 11*x^8 - 10*x^7 + 4*x^6 - 3*x^5 - 11*x^4 + x^3 + 4*x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[11, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -5, 1, -2, -2, 1, 5, -4, 2, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(3,2)* 

Field minimum poly (root): x^11 - 4*x^10 + x^9 + 11*x^8 - 9*x^7 - 3*x^6 + 2*x^5 - 5*x^4 + 5*x^3 + 2*x^2 + x - 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m032(7,1)* 

Field minimum poly (root): x^11 - 4*x^10 + x^9 + 12*x^8 - 3*x^7 - 29*x^6 + 9*x^5 + 36*x^4 - 11*x^3 - 18*x^2 + 3*x + 2 (9)
Real ramification: [1, 3, 4, 5, 7]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3423(-1,2)* 

Field minimum poly (root): x^11 - 4*x^10 + x^9 + 12*x^8 - 4*x^7 - 20*x^6 - 3*x^5 + 21*x^4 + 7*x^3 - 4*x^2 - x - 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 1, -1, 1, 0, -1, 1, 1, 1, 1]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 5, 6, 5, -3, 0, 3, -5, 0, 2, -5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3001(2,3) v3247(1,2)* 

Field minimum poly (root): x^11 - 4*x^10 + x^9 + 13*x^8 - 15*x^7 - 7*x^6 + 18*x^5 - 2*x^4 - 5*x^3 + x^2 - 2*x - 1 (9)
Real ramification: [2, 3, 4, 5, 7]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(-4,3)* 

Field minimum poly (root): x^11 - 4*x^10 + x^9 + 14*x^8 - 13*x^7 - 16*x^6 + 19*x^5 + 4*x^4 - 10*x^3 + 4*x^2 + 3*x - 2 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3505(6,1) 

Field minimum poly (root): x^11 - 4*x^10 - x^9 + 16*x^8 + 6*x^7 - 36*x^6 - 43*x^5 + 69*x^4 + 68*x^3 - 44*x^2 - 45*x - 8 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s939(3,2) 

Field minimum poly (root): x^11 - 4*x^10 - x^9 + 21*x^8 - 17*x^7 - 27*x^6 + 38*x^5 - 17*x^3 - x^2 + 6*x + 2 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0]~], [13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -2, -5, -5, 1, -3, 3, -4, 5, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1858(5,2)* 

Field minimum poly (root): x^11 - 4*x^9 + 6*x^7 - x^6 + 2*x^5 + x^4 - 12*x^3 - 2*x^2 + 6*x + 2 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0]~], [13, [18, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -2, 6, -5, 1, 6, 2, 0, 5, -2, 5]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m378(2,3)* 

Field minimum poly (root): x^11 - 4*x^9 + 6*x^7 - x^6 + 2*x^5 + x^4 - 12*x^3 - 2*x^2 + 6*x + 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0]~], [37, [11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, -1, 16, -15, 12, -14, -4, 9, 3, 16, -6]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m376(1,3)* 

Field minimum poly (root): x^11 - 4*x^9 - 2*x^8 + 7*x^7 + 9*x^6 - 11*x^5 - 15*x^4 + 10*x^3 + 9*x^2 - 2*x - 1 (8)
Real ramification: [1, 3, 5, 6, 7]
Finite ramification: [[5, [-1, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m221(-1,3)* 

Field minimum poly (root): x^11 - 4*x^9 - 2*x^8 + 7*x^7 + 9*x^6 - 11*x^5 - 15*x^4 + 10*x^3 + 9*x^2 - 2*x - 1 (8)
Real ramification: [1, 3, 4, 5, 6]
Finite ramification: [[53, [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [25, 12, 18, 6, 18, 20, 45, 25, 30, 48, 16]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m214(-5,2)* 

Field minimum poly (root): x^11 - 4*x^9 - x^8 + 4*x^7 + 2*x^6 - x^5 + x^4 + 2*x^3 - 3*x^2 - x + 1 (8)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[137, [-20, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-48, -64, -51, 59, 44, -32, 12, -27, -15, 20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1245(-5,1) 

Field minimum poly (root): x^11 - 4*x^9 - x^8 + 4*x^7 + 2*x^6 - x^5 + x^4 + 2*x^3 - 3*x^2 - x + 1 (8)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 2, -1, 2, -3, -1, 2, -1, 0, 2, 1]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, 2, 0, -2, -2, 5, 2, 6, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m017(-5,1) 

Field minimum poly (root): x^11 - 4*x^9 - x^8 + 4*x^7 + 2*x^6 - x^5 + x^4 + 2*x^3 - 3*x^2 - x + 1 (8)
Real ramification: [1, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m016(-5,1) 

Field minimum poly (root): x^11 - 4*x^9 - x^8 + 7*x^7 + 9*x^6 - 7*x^5 - 11*x^4 - 2*x^3 + 9*x^2 + 2*x - 2 (7)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1]~], [13, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 4, 5, -1, 0, 1, -6, 2, -3, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2381(-5,1)* 

Field minimum poly (root): x^11 - 4*x^9 - x^8 + 7*x^7 + 9*x^6 - 7*x^5 - 11*x^4 - 2*x^3 + 9*x^2 + 2*x - 2 (7)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2380(5,1) 

Field minimum poly (root): x^11 - 5*x^10 + 10*x^9 - 11*x^8 + 4*x^7 + 7*x^6 - 10*x^5 + 6*x^4 + 2*x^3 - 2*x^2 + 2*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3286(-3,4)* v3427(2,3)* 

Field minimum poly (root): x^11 - 5*x^10 + 10*x^9 - 5*x^8 - 18*x^7 + 41*x^6 - 29*x^5 - 13*x^4 + 31*x^3 - 10*x^2 - 6*x + 1 (7)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1]~], [5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 1, 1, 1, 1, 1, 2, 0, 2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2725(4,1) 

Field minimum poly (root): x^11 - 5*x^10 + 10*x^9 - 9*x^8 - 3*x^7 + 19*x^6 - 22*x^5 + 10*x^4 + 4*x^3 - 8*x^2 + 3*x - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[13, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 4, 1, 3, -6, -3, -4, 1, 3, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s650(-3,1)* 

Field minimum poly (root): x^11 - 5*x^10 + 11*x^9 - 15*x^8 + 12*x^7 - x^6 - 10*x^5 + 10*x^4 - 2*x^3 + x - 1 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2925(-2,3) 

Field minimum poly (root): x^11 - 5*x^10 + 12*x^9 - 20*x^8 + 25*x^7 - 24*x^6 + 17*x^5 - 7*x^4 - x^3 + 4*x^2 - 4*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[17, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 8, 8, -1, 7, -2, 7, -6, -5, -7, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s676(5,2) 

Field minimum poly (root): x^11 - 5*x^10 + 3*x^9 + 17*x^8 - 18*x^7 - 30*x^6 + 42*x^5 + 22*x^4 - 40*x^3 - 4*x^2 + 12*x + 1 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2946(1,2)* 

Field minimum poly (root): x^11 - 5*x^10 + 4*x^9 + 14*x^8 - 18*x^7 - 22*x^6 + 33*x^5 + 20*x^4 - 34*x^3 - 5*x^2 + 14*x - 1 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1228(5,2) 

Field minimum poly (root): x^11 - 5*x^10 + 4*x^9 + 14*x^8 - 20*x^7 - 4*x^6 - 2*x^5 + 12*x^4 + 36*x^3 - 40*x^2 - 6*x + 9 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, -1, 1, 1, 0, -1, -1, 0, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s581(1,3) 

Field minimum poly (root): x^11 - 5*x^10 + 4*x^9 + 14*x^8 - 24*x^7 - 8*x^6 + 43*x^5 - 20*x^4 - 18*x^3 + 17*x^2 - 2*x - 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3075(1,2) 

Field minimum poly (root): x^11 - 5*x^10 + 5*x^9 + 8*x^8 - 21*x^7 + 17*x^6 + 4*x^5 - 17*x^4 + 20*x^3 - 21*x^2 + 2*x + 4 (8)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1315(1,3) 

Field minimum poly (root): x^11 - 5*x^10 + 5*x^9 + 9*x^8 - 11*x^7 - 14*x^6 + 18*x^5 - 19*x^4 + 36*x^3 - 21*x - 4 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -2, -1, -2, 2, -1, 1, -2, 2, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2669(-6,1) 

Field minimum poly (root): x^11 - 5*x^10 + 6*x^9 + 13*x^8 - 42*x^7 + 26*x^6 + 46*x^5 - 84*x^4 + 32*x^3 + 37*x^2 - 44*x + 16 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0]~], [2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0]~], [19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-8, -2, 0, 3, -6, -8, 1, -7, -2, -2, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s819(4,1)* v1638(4,1)* 

Field minimum poly (root): x^11 - 5*x^10 + 6*x^9 + 5*x^8 - 8*x^7 - 7*x^6 + x^5 + 12*x^4 - 3*x^3 + x^2 - x - 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[11, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -5, -3, 1, 5, 4, -3, -5, -3, -1, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s639(-4,1)* 

Field minimum poly (root): x^11 - 5*x^10 + 8*x^9 + x^8 - 19*x^7 + 27*x^6 - 15*x^5 - 8*x^4 + 23*x^3 - 14*x^2 + 4*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0]~], [37, [-10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 15, -17, -5, 8, 17, -1, 15, 10, -17, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s554(1,4) 

Field minimum poly (root): x^11 - 5*x^10 + 8*x^9 - 5*x^8 + 2*x^7 + x^6 - 10*x^5 + 22*x^4 - 27*x^3 + 23*x^2 - 15*x + 4 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1]~], [3, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 1, [2, 3, 3, 3, 3, 3, 1, 2, 1, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1065(4,3) 

Field minimum poly (root): x^11 - 5*x^10 + 8*x^9 - x^8 - 10*x^7 + 7*x^6 + x^5 + 11*x^4 - 14*x^3 - 12*x^2 + 14*x + 1 (8)
Real ramification: [1, 3, 5, 6, 7]
Finite ramification: [[13, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -6, -5, -1, -3, -1, -2, 2, 4, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3387(4,1)* 

Field minimum poly (root): x^11 - 5*x^10 + 9*x^9 - 11*x^8 + 28*x^7 - 72*x^6 + 112*x^5 - 110*x^4 + 74*x^3 - 32*x^2 + 9*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 2, 3, [1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2568(3,4) 

Field minimum poly (root): x^11 - 5*x^9 + 8*x^7 - x^6 - 3*x^5 + 2*x^4 - x^3 - x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0]~], [29, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 13, -9, 10, -10, -13, -14, 13, -9, 5, 1]~], [593, [-227, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-128, 245, 69, -65, 274, 124, 11, 209, -67, 227, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2739(-2,3)* 

Field minimum poly (root): x^11 - 5*x^9 + 9*x^7 - x^6 - 4*x^5 + 5*x^4 - 6*x^3 - 6*x^2 + 5*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m290(3,1)* 

Field minimum poly (root): x^11 - 5*x^9 - x^8 + 13*x^7 + 9*x^6 - 23*x^5 - 16*x^4 + 19*x^3 + 7*x^2 - x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1333(5,1)* 

Field minimum poly (root): x^11 - 6*x^9 + 11*x^7 - 4*x^6 - 9*x^5 + 14*x^4 - 16*x^2 + 4*x + 8 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 0, 1, 0, -1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3102(-1,4) 

Field minimum poly (root): x^11 - 6*x^9 - 2*x^8 + 11*x^7 + 8*x^6 - 12*x^5 - 15*x^4 + 14*x^3 + 24*x^2 - 8*x - 16 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0]~], [13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 6, -4, 3, -5, 0, 2, -3, 1, -4, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2642(-3,2)* 

Field minimum poly (root): x^11 - 6*x^9 - 2*x^8 + 11*x^7 + 8*x^6 - 12*x^5 - 15*x^4 + 14*x^3 + 24*x^2 - 8*x - 16 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2641(-3,2)* 

Field minimum poly (root): x^11 - 6*x^9 - 7*x^8 + 16*x^7 + 30*x^6 - 23*x^5 - 37*x^4 + 19*x^3 + 13*x^2 - 8*x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3195(6,1) 

Field minimum poly (root): x^11 - 7*x^9 - 5*x^8 + 17*x^7 + 18*x^6 - 10*x^5 - 16*x^4 - 9*x^3 - 4*x^2 + x + 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2758(-3,2) 

Field minimum poly (root): x^11 - 8*x^9 - 2*x^8 + 24*x^7 + 12*x^6 - 32*x^5 - 23*x^4 + 16*x^3 + 15*x^2 - x - 3 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s437(-5,1) 

Field minimum poly (root): x^11 - 8*x^9 - 4*x^8 + 18*x^7 + 11*x^6 - 18*x^5 - 14*x^4 + 15*x^3 + 6*x^2 - 7*x + 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3427(-2,3) 

Field minimum poly (root): x^11 - 8*x^9 - 6*x^8 - 6*x^7 - 21*x^6 + 11*x^5 + 19*x^4 + 13*x^3 + 27*x^2 + 13*x + 1 (6)
Real ramification: [1, 2, 5]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2850(4,3)* 

Field minimum poly (root): x^11 - x^10 + 2*x^9 + 3*x^8 - 3*x^7 + 9*x^6 - 2*x^5 + 3*x^4 + 6*x^3 - 5*x^2 + 6*x - 3 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[89, [99, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-26, 29, 39, 41, 13, 35, 40, 39, 21, -11, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2101(4,1)* 

Field minimum poly (root): x^11 - x^10 + 2*x^9 - 3*x^8 + x^7 - 2*x^6 - x^5 + 3*x^2 - 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[17, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -1, 1, 4, -1, 0, 8, -6, 5, -5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s955(2,3) s957(2,3) s960(2,3) 

Field minimum poly (root): x^11 - x^10 + 2*x^9 - 4*x^8 + 7*x^7 + x^6 - 2*x^4 + 10*x^3 - 7*x^2 - 6*x + 4 (7)
Real ramification: [1, 2]
Finite ramification: [[23, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [10, 11, 0, 8, -4, -2, -2, 5, 5, -5, -1]~], [3533, [248, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-649, 176, 43, 881, 38, 1481, -91, 1750, -1161, 513, 574]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s612(-2,3) v1277(-1,4)* 

Field minimum poly (root): x^11 - x^10 + 2*x^9 - 4*x^8 - 2*x^7 - 2*x^6 - 11*x^5 + 8*x^4 - 12*x^3 + 7*x^2 - 4*x + 2 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0]~], [2, [3, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0]~, 1, 2, [2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0]~], [22229, [6383, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8483, -1831, 347, -10271, -1928, -1655, 7699, -10441, 3319, -6364, 192]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s626(5,1)* 

Field minimum poly (root): x^11 - x^10 + 2*x^9 - x^8 - x^7 - x^6 - x^5 + 2*x^4 + 5*x^2 - 4 (6)
Real ramification: [2, 3]
Finite ramification: [[37, [13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 0, -4, -4, -2, -5, 18, -15, -2, 7, 4]~], [37, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, -3, 6, 2, -9, -17, -6, 10, -10, 8, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2640(5,1) 

Field minimum poly (root): x^11 - x^10 + 2*x^9 - x^8 - x^7 - x^6 - x^5 + 2*x^4 + 5*x^2 - 4 (6)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2643(-5,1)* 

Field minimum poly (root): x^11 - x^10 + 3*x^9 - 3*x^8 + 3*x^7 - 3*x^6 - 2*x^5 - 6*x^3 + 2*x^2 - 4*x + 1 (5)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2028(2,3) 

Field minimum poly (root): x^11 - x^10 + 3*x^9 - 3*x^8 + x^7 - 2*x^6 - 5*x^5 + 4*x^4 - 6*x^3 + 7*x^2 - 2*x + 4 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0]~], [13, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, -4, 4, -4, -3, 4, -6, 4, 1, 2, 2]~], [17, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -7, -4, -2, 5, 6, 8, 8, 4, -3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s817(-4,1)* s818(-4,1)* 

Field minimum poly (root): x^11 - x^10 + 3*x^9 - 3*x^8 - x^6 - 6*x^5 + 5*x^4 - 4*x^3 + 6*x^2 - x + 2 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 0, -1, 0, 0, -1, 1, -1, 1, 1]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, -1, 2, -2, 1, -2, 2, 0, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s818(4,1)* 

Field minimum poly (root): x^11 - x^10 + 3*x^9 - 4*x^8 + x^7 - 3*x^6 - 3*x^5 + 4*x^4 - 2*x^3 + 5*x^2 - x + 2 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1]~], [2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s817(5,2)* s818(5,2)* 

Field minimum poly (root): x^11 - x^10 + 3*x^9 - x^8 - 4*x^7 + 10*x^6 - 19*x^5 + 21*x^4 - 17*x^3 + 11*x^2 - 4*x + 1 (3)
Real ramification: [1]
Finite ramification: [[13, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [3, 3, 5, -5, 1, -1, -6, -3, 0, 4, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2076(1,3) 

Field minimum poly (root): x^11 - x^10 + 4*x^9 + 8*x^7 + 6*x^6 + 13*x^5 + 22*x^4 + 30*x^3 + 23*x^2 + 8*x + 1 (7)
Real ramification: [1, 2]
Finite ramification: [[2, [2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0]~], [23, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -8, -10, 8, 8, -6, 10, 3, 3, 0, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2123(-4,1)* 

Field minimum poly (root): x^11 - x^10 + 4*x^9 + x^8 + 11*x^6 - 11*x^5 + 13*x^4 - 10*x^3 - x^2 + 2*x - 1 (7)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1]~, 1, 1, [2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3085(-4,3) 

Field minimum poly (root): x^11 - x^10 + 4*x^9 - x^8 + 3*x^7 - x^6 - 2*x^5 - 3*x^4 - 9*x^3 - 2*x^2 + 3*x + 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m345(-5,2)* 

Field minimum poly (root): x^11 - x^10 + 5*x^9 - 5*x^8 + 6*x^7 - 9*x^6 - 5*x^5 - 6*x^4 - 12*x^3 - 4*x + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, -1, -1, 1, -1, 0, -1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1373(-3,2)* 

Field minimum poly (root): x^11 - x^10 + 8*x^8 - 8*x^7 + 3*x^6 + 2*x^5 - x^4 + 8*x^3 + 2*x^2 - 3*x - 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1]~], [2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m260(-6,1)* 

Field minimum poly (root): x^11 - x^10 + 9*x^9 - 9*x^8 + 27*x^7 - 27*x^6 + 30*x^5 - 28*x^4 + 8*x^3 - 4*x^2 + x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, -1, 0, -1, 0, 0, 1, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3102(-3,4)* 

Field minimum poly (root): x^11 - x^10 + x^8 + 9*x^7 - 8*x^6 + 2*x^5 + 11*x^4 + 17*x^3 - 34*x^2 + 9*x + 1 (5)
Real ramification: [3]
Finite ramification: [[2, [3, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1]~, 1, 1, [1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0]~], [1291, [-266, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-250, -377, -421, -103, 435, 117, 573, -373, -582, 250, -411]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3011(4,3)* 

Field minimum poly (root): x^11 - x^10 + x^9 + 2*x^8 - 8*x^7 + 8*x^6 - 5*x^5 - 3*x^4 + 8*x^3 - 7*x^2 + 4*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, 1, 1, -2, 1, 1, -2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(5,1) 

Field minimum poly (root): x^11 - x^10 + x^9 + 3*x^8 + 2*x^7 - 2*x^6 - 5*x^5 - 6*x^4 - x^3 + 8*x^2 + 6*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 2, [1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0]~], [7, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 0, 3, 0, 3, 3, 1, 2, -1, 3, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2701(4,1) 

Field minimum poly (root): x^11 - x^10 + x^9 - 2*x^8 - 3*x^6 - x^5 + 2*x^4 - 2*x^3 + 3*x^2 + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[3167, [1554, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [154, -594, -329, 911, 946, 18, 702, 1481, 37, -1558, 29]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2796(-4,1) v2797(-1,4) 

Field minimum poly (root): x^11 - x^10 + x^9 - x^8 - 3*x^7 + 2*x^6 - 4*x^5 - x^3 - 2*x^2 + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[797, [-199, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [252, -366, -295, 218, -83, -227, 119, -238, -97, 396, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m247(-3,2)* 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 3*x^8 + 2*x^7 - 2*x^6 - x^5 - x^3 - 2*x^2 - 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2553(-6,1) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 3*x^8 - 2*x^7 - 5*x^6 + 4*x^5 + 8*x^4 - 8*x^2 - 7*x - 2 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1]~], [11, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 4, -3, -4, 0, 4, 1, 0, -2, 5, 4]~], [31, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 4, -2, 12, -7, -7, 12, 0, -13, 5, 6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2573(4,1) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 3*x^8 - 4*x^6 + 7*x^4 - x^3 - 8*x^2 + 3*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 4, 1, [0, -1, -1, 0, 0, 1, 0, 0, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s784(-1,3) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 3*x^8 - x^7 - 5*x^6 + x^5 + 7*x^4 + 3*x^3 - 5*x^2 - x + 1 (8)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2739(-4,1) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 3*x^8 - x^7 - 5*x^6 + x^5 + 7*x^4 + 3*x^3 - 5*x^2 - x + 1 (8)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2692(-4,1) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 4*x^8 + x^7 - 7*x^6 - 2*x^5 + 2*x^4 - 6*x^2 - 4*x + 1 (5)
Real ramification: [3]
Finite ramification: [[53, [19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, 22, -8, 3, -16, -5, -1, 20, 19, -11, 15]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2568(1,4) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 4*x^8 - x^7 - 3*x^6 + 4*x^4 + 2*x^3 - 6*x^2 + 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -3, 5, 6, 2, 0, 6, 6, -4, -2, -3]~], [263, [-103, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [101, 22, -82, -118, 9, 113, 68, -93, 17, 119, 101]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m185(3,2)* 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 5*x^8 - 4*x^7 - 9*x^6 + 7*x^5 + 5*x^4 - x^3 - x^2 - 2*x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m235(-5,1) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + 7*x^8 - 12*x^7 + 7*x^6 + 7*x^5 - 32*x^4 + 14*x^3 + 36*x^2 - 8*x - 16 (8)
Real ramification: [2, 4, 5]
Finite ramification: [[2, [0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1]~, 2, 1, [2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3077(6,1) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 + x^8 + 3*x^7 + 3*x^6 - 6*x^5 - 6*x^4 + 6*x^3 + 5*x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0]~], [3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, -1, -1, 1, 0, 1, 1, 1, 1, 0]~], [223, [-87, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-46, 40, -17, -48, -94, 86, 65, 34, -88, 72, 37]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2796(2,3) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 - 2*x^8 + 7*x^6 + 9*x^5 - 2*x^4 - 9*x^3 - 2*x^2 - x - 1 (7)
Real ramification: [1, 2, 5]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, 1, 1, 0, 0, -1, -1, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s884(1,3)* 

Field minimum poly (root): x^11 - x^10 - 2*x^9 - x^8 + 3*x^7 + 3*x^6 + 2*x^5 - 2*x^4 - x^3 - 3*x^2 + 3*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0]~], [3, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, 1, -1, 0, 0, 0, 0, -1, 1, 0]~], [11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 3, 5, -4, -4, 3, -3, 3, 3, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2388(-1,3) v2389(-5,1) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 - x^8 + 6*x^6 + 3*x^5 - 5*x^4 + 5*x^3 - 3*x + 1 (7)
Real ramification: [3, 4, 5]
Finite ramification: [[43, [16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-9, 3, -19, -21, 9, 4, -9, 21, 12, -17, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s657(3,4) 

Field minimum poly (root): x^11 - x^10 - 2*x^9 - x^8 + x^7 + 4*x^6 + 4*x^5 - 5*x^4 + x^3 + 4*x^2 - 4*x + 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s741(1,3) 

Field minimum poly (root): x^11 - x^10 - 3*x^8 + 3*x^7 + 2*x^6 + 3*x^5 + 2*x^4 - 10*x^3 + 2*x^2 + 3*x - 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0]~, 1, 2, [2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0]~], [7, [-2, -3, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [-2, 1, -1, 2, 3, 3, -3, 2, 2, -3, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3529(-4,1) 

Field minimum poly (root): x^11 - x^10 - 3*x^8 + 3*x^7 + 2*x^6 + 3*x^5 + 2*x^4 - 10*x^3 + 2*x^2 + 3*x - 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0]~, 1, 2, [1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0]~], [43, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, 16, -3, -7, 10, 8, -18, 4, -18, -1, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3233(2,3) 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 10*x^8 - 10*x^7 - 3*x^6 + 19*x^5 - 24*x^4 + 21*x^3 - 10*x^2 - 2*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[7, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 0, 0, -2, 3, 0, 2, 2, -2, 2, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3128(-1,3)* 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 2*x^8 + 2*x^7 + x^6 + x^5 - x^4 - x^3 - 3*x^2 + 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[19, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [4, 3, -5, -3, 8, -9, 2, 0, 8, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2739(-3,2) 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 2*x^8 + 2*x^7 + x^6 + x^5 - x^4 - x^3 - 3*x^2 + 1 (6)
Real ramification: [1, 4, 5]
Finite ramification: [[7, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-2, 3, -2, -2, -2, 1, 0, 3, 2, 3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s845(-4,1) 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 2*x^8 + 4*x^7 + x^6 - 22*x^5 + 29*x^4 + 2*x^3 - 14*x^2 - x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3252(-1,2)* 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 2*x^8 - 4*x^7 + 6*x^6 + 10*x^5 - 9*x^4 + 5*x^3 - 4*x - 1 (8)
Real ramification: [1, 2, 5, 6, 7]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2671(2,3) 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 3*x^8 + 5*x^7 - 6*x^6 - 4*x^5 + 5*x^4 + 2*x^3 - 3*x^2 - x + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, -1, 0, 0, 1, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2958(2,3)* 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 3*x^8 + 5*x^7 - 7*x^6 - 5*x^5 + 8*x^4 + 3*x^3 - 5*x^2 - x + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[15391, [-447, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1515, -451, 1514, -4094, 3434, -7464, -361, -414, -724, 446, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2891(1,3)* 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 5*x^7 + 8*x^6 - 5*x^5 - 13*x^4 - 8*x^3 + 5*x^2 + 12*x + 5 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s928(6,1) 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 6*x^8 + 3*x^7 - 9*x^6 - 4*x^5 + 9*x^4 + x^3 - 7*x^2 + 2*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[109, [-32, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-47, 19, -25, 20, 20, 13, -22, 1, -31, 38, 53]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s581(-4,1)* 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + 6*x^8 + x^7 - 8*x^6 - 4*x^5 + 7*x^4 + 2*x^3 - 6*x^2 + 7*x - 3 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, -1, -1, -1, 0, -1, 0, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m373(-4,1)* 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + x^8 + x^7 + x^5 - x^4 + 3*x^3 + 3*x^2 + 2*x + 4 (6)
Real ramification: [1, 3]
Finite ramification: [[11, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 4, -1, -3, 4, -2, -3, 2, -1, 3, -1]~], [67, [29, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, 23, 31, 22, -20, -23, -10, -2, 10, -26, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3106(-2,3) 

Field minimum poly (root): x^11 - x^10 - 3*x^9 + x^8 + x^7 + x^5 - x^4 + 3*x^3 + 3*x^2 + 2*x + 4 (6)
Real ramification: [1, 2]
Finite ramification: [[11, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 4, -1, -3, 4, -2, -3, 2, -1, 3, -1]~], [7949, [885, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1945, -2295, 1867, 408, -3184, 3844, -192, -2877, -2897, -949, 142]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3110(2,3)* 

Field minimum poly (root): x^11 - x^10 - 3*x^9 - x^8 + 6*x^7 + 3*x^6 - 4*x^5 - 6*x^4 + 3*x^3 + 6*x^2 - 2*x - 1 (8)
Real ramification: [1, 2, 4]
Finite ramification: [[149, [8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-40, 53, -49, 51, -51, 25, 61, 16, 51, -55, -65]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m352(-4,3) 

Field minimum poly (root): x^11 - x^10 - 4*x^9 + 2*x^8 + 2*x^7 + x^6 + 2*x^5 + x^4 - x^3 - x^2 - x - 2 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0]~], [53, [-11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 15, -23, 12, 1, -10, 13, 1, 0, 20, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3106(4,1) 

Field minimum poly (root): x^11 - x^10 - 4*x^9 + 2*x^8 + 2*x^7 + x^6 + 2*x^5 + x^4 - x^3 - x^2 - x - 2 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[2063, [-197, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [754, 530, -843, 446, -812, -33, -262, -504, 885, 392, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3110(-4,1)* 

Field minimum poly (root): x^11 - x^10 - 4*x^9 + 2*x^8 + 4*x^7 - 4*x^5 - 3*x^4 + 6*x^3 + x^2 - 2*x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[73, [-33, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-24, -22, -17, -32, 6, 24, 30, -27, 31, 28, 17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m141(3,2) 

Field minimum poly (root): x^11 - x^10 - 4*x^9 + 4*x^8 + 4*x^7 - 8*x^6 - x^5 + 11*x^4 + 2*x^3 - 8*x^2 - x + 2 (8)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, -1, -1, 1, -1, -1, 0, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s889(4,1)* 

Field minimum poly (root): x^11 - x^10 - 4*x^9 + 9*x^8 - 4*x^7 - 11*x^6 + 16*x^5 + 4*x^4 - 13*x^3 - x^2 + 4*x + 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m345(3,2)* 

Field minimum poly (root): x^11 - x^10 - 4*x^9 + x^8 + 12*x^7 - 3*x^6 - 26*x^5 + 18*x^4 + 21*x^3 - 12*x^2 - 4*x + 1 (9)
Real ramification: [2, 4, 5, 6]
Finite ramification: [[2, [0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0]~, 4, 1, [2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1]~], [3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 0, 1, 0, 1, 0, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3158(-1,3)* 

Field minimum poly (root): x^11 - x^10 - 4*x^9 - 2*x^7 + 6*x^6 + 7*x^5 - x^4 + 5*x^3 - 9*x^2 + x - 4 (8)
Real ramification: [1, 2, 4]
Finite ramification: [[6803, [-869, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1106, 692, 3250, 368, 2570, 3216, -3251, 419, -845, 878, 43]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3228(1,3) 

Field minimum poly (root): x^11 - x^10 - 4*x^9 - 4*x^8 + 5*x^7 + 14*x^6 + 14*x^5 + 5*x^4 - 6*x^3 - 10*x^2 - 7*x - 2 (6)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2050(-6,1)* v2051(-2,3) 

Field minimum poly (root): x^11 - x^10 - 4*x^9 - x^8 + 12*x^7 + 4*x^6 - 23*x^5 + 10*x^4 + 17*x^3 - 6*x^2 - 3*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 7]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3195(4,1) 

Field minimum poly (root): x^11 - x^10 - 4*x^9 - x^8 + 16*x^6 + 6*x^5 - 7*x^4 + 13*x^3 + 7*x^2 - 3*x - 2 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1]~], [5, [6, -2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [4, 4, 5, 5, 4, 1, 1, 1, 3, 3, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s901(3,2)* 

Field minimum poly (root): x^11 - x^10 - 5*x^9 + 2*x^8 + 12*x^7 + 6*x^6 - 18*x^5 - 15*x^4 + 12*x^3 + 10*x^2 - 3*x - 2 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s927(4,1)* 

Field minimum poly (root): x^11 - x^10 - 5*x^9 + 2*x^8 + 8*x^7 + 3*x^6 - 4*x^5 - 4*x^4 + 3*x^3 - 3*x - 1 (8)
Real ramification: [1, 2, 4, 5, 7]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -3, -6, -5, -2, 4, 2, 1, -2, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2671(1,2)* 

Field minimum poly (root): x^11 - x^10 - 5*x^9 + 5*x^8 + 4*x^7 + 6*x^5 - 20*x^4 - 6*x^3 + 20*x^2 - 3 (9)
Real ramification: [3, 4, 5, 6, 7]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, -1, 1, 0, 0, 1, 1, -1, 1, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s597(-5,1) 

Field minimum poly (root): x^11 - x^10 - 5*x^9 + 6*x^8 + 12*x^7 - 12*x^6 - 15*x^5 + 14*x^4 + 5*x^3 - 12*x^2 + 2*x + 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[13, [-2, -4, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, 3, -1, 1, -3, 1, -4, -4, 3, 1, 0]~], [19, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [8, 8, -3, -6, -5, 1, 2, -8, -5, -7, 3]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2057(3,1)* 

Field minimum poly (root): x^11 - x^10 - 5*x^9 + 8*x^8 + 4*x^7 - 18*x^6 + 8*x^5 + 12*x^4 - 13*x^3 + 4*x - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3162(-4,1) 

Field minimum poly (root): x^11 - x^10 - 5*x^9 + 8*x^8 + 5*x^7 - 22*x^6 + 9*x^5 + 23*x^4 - 23*x^3 - 3*x^2 + 17*x - 5 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3168(5,1) v3169(1,3) 

Field minimum poly (root): x^11 - x^10 - 6*x^9 + 3*x^8 + 16*x^7 - 3*x^6 - 25*x^5 + 8*x^4 + 23*x^3 - 13*x^2 - 6*x + 4 (8)
Real ramification: [3, 4, 5]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [-1, -1, 1, 1, 1, 2, -1, 1, 1, 2, 2]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 1, 3, 1, -1, 1, -1, 1, 3, 0, 2]~], [191, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -5, 90, -34, 20, -24, 10, 2, 0, -4, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3232(-3,2)* 

Field minimum poly (root): x^11 - x^10 - 6*x^9 + 5*x^8 + 11*x^7 - 7*x^6 - x^5 - x^4 - 14*x^3 + 6*x^2 + 7*x + 1 (8)
Real ramification: [2, 3, 5]
Finite ramification: [[29, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 10, 9, 1, -10, -13, 1, -8, 7, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3128(1,3) 

Field minimum poly (root): x^11 - x^10 - 6*x^9 + 5*x^8 + 13*x^7 - 10*x^6 - 9*x^5 + 9*x^4 - 3*x^3 - 4*x^2 + 3*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m162(-3,2) 

Field minimum poly (root): x^11 - x^10 - 6*x^9 + 6*x^8 + 12*x^7 - 11*x^6 - 7*x^5 + 4*x^4 - 4*x^3 + 5*x^2 + 4*x - 1 (7)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1]~], [137, [52, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-29, -2, 66, 25, -61, 59, 25, 34, 10, -53, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s641(-3,4)* 

Field minimum poly (root): x^11 - x^10 - 6*x^9 + 6*x^8 + 16*x^7 - 13*x^6 - 27*x^5 + 12*x^4 + 23*x^3 - 3*x^2 - 7*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[1097, [466, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-488, 514, 286, -217, -476, 228, -252, -148, 412, -483, 67]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s459(5,2)* 

Field minimum poly (root): x^11 - x^10 - 7*x^9 + 6*x^8 + 18*x^7 - 12*x^6 - 18*x^5 + 9*x^4 + 2*x^3 - 2*x^2 + 4*x + 1 (6)
Real ramification: [4, 5]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, 0, 1, -1, -1, 2, -2, -1, 2, 1]~], [97, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [48, 22, 12, 5, -2, 8, 10, -4, -5, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s423(3,4) 

Field minimum poly (root): x^11 - x^10 - 7*x^9 + 6*x^8 + 18*x^7 - 12*x^6 - 18*x^5 + 9*x^4 + 2*x^3 - 2*x^2 + 4*x + 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m358(-3,4)* 

Field minimum poly (root): x^11 - x^10 - 7*x^9 + 7*x^8 + 16*x^7 - 14*x^6 - 13*x^5 + 8*x^4 + 3*x^3 - 5*x^2 + 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3304(-4,1) 

Field minimum poly (root): x^11 - x^10 - 7*x^9 + 7*x^8 + 17*x^7 - 16*x^6 - 18*x^5 + 14*x^4 + 9*x^3 - 7*x^2 - 2*x + 1 (7)
Real ramification: [1, 4, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 5, -4, 0, -4, 4, 2, 5, 5, -4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3085(3,2) 

Field minimum poly (root): x^11 - x^10 - 7*x^9 + 8*x^8 + 16*x^7 - 17*x^6 - 13*x^5 + 10*x^4 + 9*x^3 - 5*x^2 - 6*x + 4 (7)
Real ramification: [2, 3, 5]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 2, -5, -3, 0, 5, 5, -6, 5, 1, 5]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s699(-2,3) 

Field minimum poly (root): x^11 - x^10 - 8*x^9 + 10*x^8 + 20*x^7 - 29*x^6 - 15*x^5 + 28*x^4 - 9*x^2 + x + 1 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s423(5,2) 

Field minimum poly (root): x^11 - x^10 - 8*x^9 + 10*x^8 + 20*x^7 - 29*x^6 - 15*x^5 + 28*x^4 - 9*x^2 + x + 1 (8)
Real ramification: [2, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m358(-5,2)* 

Field minimum poly (root): x^11 - x^10 - 8*x^9 + 7*x^8 + 21*x^7 - 13*x^6 - 20*x^5 + 5*x^4 + 5*x^3 + x^2 + 1 (6)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1]~, 2, 2, [2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3078(-3,2) 

Field minimum poly (root): x^11 - x^10 - 9*x^9 + 10*x^8 + 26*x^7 - 25*x^6 - 34*x^5 + 15*x^4 + 25*x^3 + 2*x^2 - x - 1 (6)
Real ramification: [1, 3]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3526(-3,1)* 

Field minimum poly (root): x^11 - x^10 - 9*x^9 + 7*x^8 + 32*x^7 - 18*x^6 - 55*x^5 + 26*x^4 + 39*x^3 - 22*x^2 - 3*x + 4 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-2, -1, -1, -2, 2, -1, -1, 0, -2, -1, -1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s789(-5,2)* v1539(5,2) 

Field minimum poly (root): x^11 - x^10 - x^8 - 2*x^7 + 4*x^6 - 8*x^5 - 14*x^4 + 15*x^3 + 22*x^2 + 3*x - 2 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3130(3,2)* 

Field minimum poly (root): x^11 - x^10 - x^8 - x^7 + 3*x^6 - 8*x^5 + 9*x^4 + 2*x^3 - x^2 - 3*x + 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2413(-3,4) 

Field minimum poly (root): x^11 - x^10 - x^9 + 2*x^8 + x^7 - 5*x^6 - 12*x^5 - 11*x^4 - 8*x^3 - 2*x^2 - x + 1 (4)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0]~], [3, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, 0, 1, -1, 1, -1, -1, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1249(5,1) 

Field minimum poly (root): x^11 - x^10 - x^9 + 2*x^8 - 18*x^7 + 16*x^6 - 25*x^5 + 12*x^4 - x^3 - 7*x^2 + 4*x + 2 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, -1, -2, -2, -1, 0, 0, 1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2320(-3,2) 

Field minimum poly (root): x^11 - x^10 - x^9 + 2*x^8 - 2*x^7 - x^6 + 7*x^5 - 6*x^4 - 5*x^3 + 5*x^2 + x - 1 (8)
Real ramification: [2, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 0, 1, -1, -1, 0, 1, 1, 1, 1]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, -6, -2, -5, 2, 6, 3, 2, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m350(-5,1) 

Field minimum poly (root): x^11 - x^10 - x^9 + 2*x^8 - 2*x^7 - x^6 + 7*x^5 - 6*x^4 - 5*x^3 + 5*x^2 + x - 1 (8)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 0, 1, -1, -1, 0, 1, 1, 1, 1]~], [17, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 8, 4, -5, 7, 0, 7, -5, 2, 4, 1]~], [233, [89, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [89, -90, -67, 74, -103, -4, -34, -52, 87, -90, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m349(-1,3) 

Field minimum poly (root): x^11 - x^10 - x^9 + 3*x^7 + x^6 + x^5 + 2*x^4 - 5*x^3 - 3*x^2 + 2*x + 1 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0]~], [5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 0, 0, 1, 0, -2, 0, 0, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2716(1,2)* 

Field minimum poly (root): x^11 - x^10 - x^9 + 4*x^8 - 8*x^7 + 5*x^6 - 3*x^5 + x^4 + 4*x^2 - 4*x + 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s928(-4,1) 

Field minimum poly (root): x^11 - x^10 - x^9 + 7*x^8 - 6*x^7 + 14*x^6 - 12*x^5 + 10*x^4 + 3*x^3 - 9*x^2 + 1 (8)
Real ramification: [2, 3, 4]
Finite ramification: [[13, [11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -4, 2, 1, 5, -1, 2, -6, 0, 6, 6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3288(3,1)* 

Field minimum poly (root): x^11 - x^10 - x^9 + x^8 + 2*x^7 + 9*x^4 - 3*x^3 - 6*x^2 + x + 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m222(4,1)* 

Field minimum poly (root): x^11 - x^10 - x^9 + x^8 + 6*x^7 - 8*x^6 - 5*x^5 + 3*x^4 + 5*x^3 - 4*x^2 + 1 (4)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0]~], [67, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, -2, -20, 21, 27, 32, 26, 19, 9, -25, -28]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2585(3,1) 

Field minimum poly (root): x^11 - x^10 - x^9 + x^8 - 2*x^7 + 3*x^5 + 4*x^2 + x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0]~], [3, [-1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, -1, -1, 0, -1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s385(-5,1) 

Field minimum poly (root): x^11 - x^10 - x^9 - 2*x^8 + 11*x^7 - 7*x^6 - x^5 - 10*x^4 + 21*x^3 - 16*x^2 + 8*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0]~], [17, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, 2, 3, -3, 3, -8, -6, 1, 5, 0, 7]~], [53, [17, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [24, -5, -23, -4, 0, 7, 7, 22, -6, 12, 18]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2585(-1,2) 

Field minimum poly (root): x^11 - x^10 - x^9 - 2*x^8 + 5*x^7 - 11*x^5 - 2*x^4 + 2*x^3 + x^2 - 12*x + 4 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0]~], [1039, [456, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-419, 308, 274, 61, 473, -274, -392, -38, -475, 492, 64]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1809(-2,3) 

Field minimum poly (root): x^11 - x^10 - x^9 - 4*x^8 + 11*x^7 - 3*x^6 + 3*x^5 - 19*x^4 + 16*x^3 - 3*x^2 - 6*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0]~, 1, 6, [1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0]~], [3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, -1, 1, -1, 1, 0, 1, -1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s942(3,1) 

Field minimum poly (root): x^11 - x^10 - x^9 - x^8 + 5*x^7 - x^6 - 2*x^5 - 6*x^4 + 3*x^3 + x^2 + 4*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s836(-4,1)* 

Field minimum poly (root): x^11 - x^9 - 3*x^8 + 5*x^7 + 7*x^6 - 13*x^5 + 4*x^4 + 10*x^3 - 5*x^2 - 2*x + 1 (7)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0]~, 2, 2, [1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0]~], [27961, [-5652, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6879, -5387, -1758, 6801, 9761, -8960, -12539, -853, 13643, -5357, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3459(3,2)* 

Field minimum poly (root): x^11 - x^9 - 8*x^8 - 11*x^7 + 6*x^6 + 33*x^5 + 35*x^4 - 14*x^2 - 6*x - 1 (6)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2320(5,2)* 

Field minimum poly (root): x^12 + 2*x^10 - 2*x^9 + 3*x^7 - 2*x^6 + 3*x^5 - 5*x^4 - 4*x^3 + 5*x^2 + x - 1 (8)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[409, [-55, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [119, 136, 47, -66, 103, 39, -29, -127, 20, 164, 55, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m019(-4,1)* 

Field minimum poly (root): x^12 + 2*x^10 - 2*x^9 + 3*x^7 - 2*x^6 + 3*x^5 - 5*x^4 - 4*x^3 + 5*x^2 + x - 1 (8)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1572(-4,1)* 

Field minimum poly (root): x^12 + 2*x^10 - 2*x^9 + 5*x^8 - 4*x^7 - 7*x^5 - 7*x^3 - 3*x^2 - 3*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0]~], [13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 0, 3, 6, 1, -4, 6, 0, -2, 0, 6, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m262(-4,3) 

Field minimum poly (root): x^12 + 2*x^10 - 5*x^8 - 2*x^7 - 5*x^6 + 3*x^5 + 6*x^4 + x^3 - 3*x + 1 (8)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[21013, [1469, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10349, 9218, 6924, -2965, 7893, -6414, -4565, 5997, -5480, -6407, -1479, 71]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m170(-4,3)* 

Field minimum poly (root): x^12 + 2*x^10 - x^9 + 2*x^8 - 5*x^7 - 2*x^6 - 13*x^5 - 9*x^4 - x^3 + 5*x^2 + 10*x + 4 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[13249, [6076, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [551, 4010, 599, 2049, 3480, -1577, 1773, 853, 2365, 1864, 6497, -4371]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3158(4,1) 

Field minimum poly (root): x^12 + 3*x^10 - 3*x^9 - 2*x^8 - 11*x^7 - 9*x^6 - 2*x^5 + 6*x^4 + 11*x^3 + 2*x^2 - 3*x - 1 (7)
Real ramification: [1, 4, 5, 6]
Finite ramification: [[2, [0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1]~, 2, 1, [1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 2, [2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3317(1,4) 

Field minimum poly (root): x^12 + 3*x^10 - 7*x^9 - 2*x^8 - 23*x^7 + 5*x^6 - 12*x^5 + 29*x^4 + 10*x^3 + 21*x^2 + 10*x + 1 (8)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s903(1,4) 

Field minimum poly (root): x^12 + 3*x^10 - x^9 + 3*x^8 - x^7 - 5*x^6 + 6*x^5 - 13*x^4 + 3*x^3 - 2*x^2 - 3*x + 1 (8)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 3, 1, [1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0]~], [2, [3, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s704(-5,1) 

Field minimum poly (root): x^12 + x^10 - 5*x^8 - x^7 + 2*x^6 + x^5 + 6*x^4 - 2*x^3 - 7*x^2 + x + 2 (8)
Real ramification: [1, 3]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2538(5,1)* 

Field minimum poly (root): x^12 + x^10 - 7*x^9 - 2*x^8 + 2*x^7 + 3*x^6 - x^5 + 6*x^4 + 2*x^3 + x^2 - 3*x - 1 (7)
Real ramification: [2, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0]~], [2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3477(-4,1)* 

Field minimum poly (root): x^12 + x^10 - x^9 - 3*x^8 - 3*x^7 - 6*x^6 + 8*x^5 + 2*x^4 + 4*x^3 + x^2 - 4*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m022(5,2) 

Field minimum poly (root): x^12 + x^10 - x^9 - 3*x^8 - 6*x^6 - 2*x^5 + x^4 - 6*x^3 - 4*x^2 + x + 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0]~], [5, [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, -1, 2, -1, 0, 2, 1, 1, 0, -1, 1, 0]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [2, 3, 3, -3, 5, 3, -6, 5, -3, -4, 5, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m397(-2,3)* 

Field minimum poly (root): x^12 + x^10 - x^9 - 6*x^6 - 5*x^5 - 3*x^4 - 6*x^3 - 10*x^2 - 3*x + 1 (6)
Real ramification: [3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -2, 1, 4, 0, -5, -4, -3, -5, 0, 4, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s552(4,1)* 

Field minimum poly (root): x^12 - 2*x^10 + 5*x^8 - 4*x^7 + x^6 - 5*x^5 - 8*x^4 + 24*x^3 - 5*x^2 - 10*x + 4 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0]~], [17, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 8, -8, 6, 7, 4, 2, 5, 1, -7, -4, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s751(-4,1)* 

Field minimum poly (root): x^12 - 2*x^10 + 5*x^8 - 4*x^7 + x^6 - 5*x^5 - 8*x^4 + 24*x^3 - 5*x^2 - 10*x + 4 (6)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s556(5,1) 

Field minimum poly (root): x^12 - 2*x^10 - 2*x^9 + x^8 + 6*x^7 - 8*x^6 + x^5 + 3*x^4 - 6*x^3 + 3*x^2 + x - 2 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0]~], [5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 2, 2, 1, 0, 0, 0, 2, 2, -2, 0, 0]~], [53, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 2, 7, 15, -7, -23, -20, 7, -3, 8, -15, 10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2210(-5,2)* 

Field minimum poly (root): x^12 - 2*x^10 - x^8 - 3*x^7 + 2*x^6 + 2*x^5 - x^4 + 2*x^3 + x^2 - 3*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[13, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -2, 5, -5, -2, -2, -2, -6, 4, 2, 2, 1]~], [41, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [20, -9, -5, 17, 9, -17, 11, 7, 4, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s587(-4,1)* 

Field minimum poly (root): x^12 - 2*x^10 - x^8 - 4*x^7 + 2*x^6 - x^5 - 6*x^4 - x^3 - x^2 - 3*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1]~, 2, 2, [2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0]~], [307, [83, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [57, 13, 79, 134, 54, 127, 3, -81, 24, -66, 123, 38]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s933(-5,2) 

Field minimum poly (root): x^12 - 2*x^10 - x^9 - 2*x^8 + x^7 + 6*x^6 - 2*x^5 - 5*x^4 + 8*x^3 - x^2 - 6*x + 4 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[23029, [-577, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5569, -6717, -9884, -2019, -6429, 8597, 3375, -11468, -8631, 10397, 977, 946]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3157(-4,1) 

Field minimum poly (root): x^12 - 2*x^11 + 2*x^10 + 3*x^9 - 13*x^8 + 15*x^7 + 4*x^6 - 23*x^5 + 17*x^4 + 2*x^3 - 9*x^2 + 5*x - 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2871(3,1) 

Field minimum poly (root): x^12 - 2*x^11 + 2*x^10 + 4*x^8 + 3*x^7 - 11*x^6 + 4*x^5 + 15*x^4 + 2*x^3 - 7*x^2 - 5*x - 1 (8)
Real ramification: [1, 2, 4]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 1, -2, -2, -2, 0, -1, -1, -2, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0248(-5,1) 

Field minimum poly (root): x^12 - 2*x^11 + 2*x^10 - 2*x^9 - 2*x^8 + 5*x^7 - 9*x^6 + 9*x^5 - 2*x^4 + 4*x^3 + x^2 - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1]~, 2, 1, [1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1]~], [139, [29, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-53, 3, 48, -30, 15, -46, 3, -64, 16, 32, 42, 67]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m022(5,1)* 

Field minimum poly (root): x^12 - 2*x^11 + 2*x^9 - 3*x^7 - 4*x^6 + 6*x^4 + 8*x^3 + 3*x^2 - x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s723(-1,3)* 

Field minimum poly (root): x^12 - 2*x^11 + 2*x^9 - x^8 - 3*x^7 + 3*x^6 + 2*x^5 - 3*x^4 + 3*x^2 - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -1, 1, -1, 0, 0, 0, -1, 0, 0, 1]~], [17, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 8, 8, 6, -6, -6, 6, -6, -8, 1, 5, 1]~], [181, [19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, -1, -76, 4, -48, -45, -7, -76, 23, 37, -21, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m297(-2,3) 

Field minimum poly (root): x^12 - 2*x^11 + 3*x^10 + 2*x^9 - 4*x^8 + 12*x^6 + 4*x^5 - 17*x^4 + 8*x^3 + 7*x^2 - 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]~], [5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, -1, 1, 1, 0, 1, -2, 2, -1, 2, -2]~], [31, [-15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 10, 8, -10, 5, 0, 14, -11, 4, -2, -12, -5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3371(-5,2) 

Field minimum poly (root): x^12 - 2*x^11 + 3*x^10 + 2*x^9 - 8*x^8 + 14*x^7 - 9*x^6 - 3*x^5 + 12*x^4 - 12*x^3 + 3*x^2 + x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3329(-4,1) 

Field minimum poly (root): x^12 - 2*x^11 + 3*x^10 - 10*x^9 + 10*x^8 - 7*x^7 + 18*x^6 - 5*x^5 - 6*x^4 - 7*x^3 - x^2 + 4*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -1, -6, -5, -4, -1, 3, -2, -5, -6, 1, -5]~], [17, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, 7, -8, 2, 1, -4, 2, 8, 5, -3, -2, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s901(2,3) 

Field minimum poly (root): x^12 - 2*x^11 + 3*x^10 - 3*x^9 + 3*x^8 + x^6 - 2*x^5 - 2*x^4 - 2*x^3 - x^2 + 2*x + 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[5, [-1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 1, 2, 2, -2, 0, 2, -1, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3387(-3,2)* 

Field minimum poly (root): x^12 - 2*x^11 + 3*x^10 - 5*x^9 - 5*x^8 + 14*x^7 - 21*x^6 + 33*x^5 - 8*x^4 - 10*x^3 + 4*x^2 - 4*x + 1 (9)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s690(-1,4) 

Field minimum poly (root): x^12 - 2*x^11 + 3*x^9 - 4*x^7 + 6*x^6 - x^5 - 6*x^4 + 6*x^3 + 4*x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0]~, 3, 1, [1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0]~], [2, [0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1]~, 2, 1, [2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1]~], [5, [-1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, -1, -1, -2, 1, 2, 1, 0, -2, 1, 2, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3387(2,3)* 

Field minimum poly (root): x^12 - 2*x^11 + 4*x^10 - 6*x^9 + 3*x^8 - 2*x^7 - 5*x^6 + 9*x^5 - 8*x^4 + 10*x^3 - 5*x^2 + 3*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[19, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -1, 7, 9, 6, 9, -4, 6, -9, 9, 4, 1]~], [23, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 4, -9, -4, -4, -10, 5, -7, 10, 7, -3, 1]~], [577, [-121, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [62, 196, -232, -2, -205, 3, -81, -282, 217, -22, 119, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3244(-3,2)* 

Field minimum poly (root): x^12 - 2*x^11 + 4*x^10 - 6*x^9 + 4*x^8 - 3*x^7 - 4*x^6 + 8*x^5 - 10*x^4 + 11*x^3 - 7*x^2 + 4*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[97, [17, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-40, 14, 33, -7, -23, -21, 1, 34, -36, 36, -19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3509(3,2) v3510(3,2) 

Field minimum poly (root): x^12 - 2*x^11 + 4*x^10 - 6*x^9 - 2*x^8 + 6*x^7 - 8*x^6 + 3*x^5 + 2*x^4 + x^3 + 9*x^2 + 6*x + 1 (9)
Real ramification: [1, 2, 3, 6]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 0, -1, -1, 0, -1, -1, 1, 0, 1, 1]~], [109, [-46, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [21, -37, -22, 15, 51, 20, -31, -1, 42, 48, 42, 11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m360(1,4) 

Field minimum poly (root): x^12 - 2*x^11 + 5*x^10 - 3*x^9 + 4*x^8 + 12*x^7 - 9*x^6 + 20*x^5 - 11*x^4 - 11*x^3 + 18*x^2 - 10*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: [[11, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -3, 5, -2, -5, 4, 4, -1, 1, -3, 3, 3]~], [19, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -3, 9, 9, -7, -4, 0, -1, 5, 7, 9, -5]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3193(1,4) 

Field minimum poly (root): x^12 - 2*x^11 + 5*x^10 - 4*x^9 + x^8 + 6*x^7 - 17*x^6 + 13*x^5 - 12*x^4 + 7*x^3 + 5*x^2 - 5*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s705(1,3)* 

Field minimum poly (root): x^12 - 2*x^11 + 5*x^9 - 3*x^8 - 10*x^7 + 2*x^6 + 16*x^5 - 3*x^4 - 12*x^3 + 11*x^2 + 2*x - 8 (4)
Real ramification: [2]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3390(1,3) 

Field minimum poly (root): x^12 - 2*x^11 + 6*x^10 - 7*x^9 + 9*x^8 - 6*x^7 + 2*x^5 - 10*x^4 + 6*x^3 - 8*x^2 + 3*x - 1 (5)
Real ramification: [2]
Finite ramification: [[43, [9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, 3, -6, -13, -14, -3, -14, 20, -6, 19, -11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3443(-1,3) 

Field minimum poly (root): x^12 - 2*x^11 + x^10 + 3*x^9 - 10*x^8 + 8*x^7 - 7*x^6 - 4*x^5 + 13*x^4 - 16*x^3 + 13*x^2 - 7*x + 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1]~], [5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -1, -1, 2, 0, 1, -1, -1, -2, -2, 1, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2210(3,2) 

Field minimum poly (root): x^12 - 2*x^11 + x^10 - 5*x^8 + 8*x^7 - 10*x^6 - 4*x^5 + x^4 + 4*x^3 + 10*x^2 - 3*x - 3 (8)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2515(3,1) 

Field minimum poly (root): x^12 - 2*x^11 - 2*x^10 + 10*x^9 - 4*x^8 - 17*x^7 + 19*x^6 + 9*x^5 - 23*x^4 + 4*x^3 + 10*x^2 - 5*x - 1 (7)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2911(-5,1)* 

Field minimum poly (root): x^12 - 2*x^11 - 2*x^10 + 10*x^9 - 7*x^8 - 13*x^7 + 17*x^6 + 4*x^5 - 13*x^4 + 4*x^2 + x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3047(4,1) 

Field minimum poly (root): x^12 - 2*x^11 - 2*x^10 + 20*x^9 - 28*x^8 - 7*x^7 + 71*x^6 - 82*x^5 + 30*x^4 + 11*x^3 - 10*x^2 + x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3505(-6,1)* 

Field minimum poly (root): x^12 - 2*x^11 - 3*x^10 + 10*x^9 - 4*x^8 - 14*x^7 + 19*x^6 - x^5 - 14*x^4 + 11*x^3 + x^2 - 4*x + 1 (9)
Real ramification: [1, 2, 4, 6]
Finite ramification: [[5, [2, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, 2, 0, 2, -1, -2, -1, 1, -1, -1, 1, 0]~], [13, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -6, 2, -3, -5, 3, -1, 0, -3, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3313(-1,4)* 

Field minimum poly (root): x^12 - 2*x^11 - 3*x^10 + 8*x^9 + 4*x^8 - 18*x^7 + 3*x^6 + 19*x^5 - 10*x^4 - 2*x^3 + x^2 - 2*x - 1 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1]~], [89, [30, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-19, 7, -13, -29, 20, -3, -33, 9, 23, -23, -12, 35]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3080(-4,1)* 

Field minimum poly (root): x^12 - 2*x^11 - 3*x^9 + 12*x^8 - 3*x^7 - 3*x^6 - 10*x^5 + 6*x^4 - x^3 + 2*x^2 + x - 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[5, [-1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, -1, -2, 0, 1, 0, -1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s958(3,1)* 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 10*x^9 + 4*x^8 - 19*x^7 + 20*x^5 - 2*x^4 - 13*x^3 + x^2 + 4*x - 1 (7)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0]~], [29, [14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -4, -10, 6, -13, -8, 13, 6, 4, -12, 13, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3351(2,3) 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 10*x^9 + 7*x^8 - 24*x^7 - 4*x^6 + 30*x^5 - 2*x^4 - 19*x^3 + 3*x^2 + 4*x - 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[97, [-28, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-45, -26, 44, -22, 27, 38, -47, -32, 9, 45, 26, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2889(3,2)* 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 10*x^9 + 9*x^8 - 21*x^7 - 13*x^6 + 25*x^5 + 13*x^4 - 15*x^3 - 6*x^2 + 6*x - 1 (6)
Real ramification: [3, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0]~], [2, [3, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1]~, 1, 2, [2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1366(-5,1)* 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 11*x^9 + 3*x^8 - 22*x^7 + 4*x^6 + 26*x^5 - 11*x^4 - 18*x^3 + 8*x^2 + 6*x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s547(-4,1) 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 12*x^9 + 3*x^8 - 27*x^7 + 10*x^6 + 25*x^5 - 19*x^4 - 5*x^3 + 8*x^2 - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m199(6,1)* 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 8*x^9 + 7*x^8 - 17*x^7 - 2*x^6 + 20*x^5 - 5*x^4 - 11*x^3 + 5*x^2 + 2*x - 1 (8)
Real ramification: [1, 3, 4]
Finite ramification: [[41887, [20577, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4743, 12216, 12948, -16308, 1727, -12110, 1167, -2854, -1665, 18396, -20579, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3520(-1,3)* 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 8*x^9 + 7*x^8 - 17*x^7 - 2*x^6 + 20*x^5 - 5*x^4 - 11*x^3 + 5*x^2 + 2*x - 1 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[599, [-179, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-87, -44, 70, 141, -123, -138, -148, 16, -184, -68, 177, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3519(1,3) 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 8*x^9 + 7*x^8 - 9*x^7 - 10*x^6 - x^5 + 8*x^4 + 17*x^3 - 15*x^2 - 2*x + 1 (8)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 6, [1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s746(-4,1) 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 9*x^9 + 6*x^8 - 20*x^7 + 23*x^5 - 9*x^4 - 12*x^3 + 6*x^2 + 2*x - 1 (8)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3519(-1,3) 

Field minimum poly (root): x^12 - 2*x^11 - 4*x^10 + 9*x^9 + 6*x^8 - 20*x^7 + 23*x^5 - 9*x^4 - 12*x^3 + 6*x^2 + 2*x - 1 (8)
Real ramification: [2, 3, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3520(1,3)* 

Field minimum poly (root): x^12 - 2*x^11 - 5*x^10 + 11*x^9 + 7*x^8 - 22*x^7 - 3*x^6 + 23*x^5 - 2*x^4 - 14*x^3 + x^2 + 4*x - 1 (7)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1]~], [4957, [1806, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1957, 959, -1060, -219, -1633, -1086, -2165, 229, 1762, -1420, -1808, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3356(-2,3) 

Field minimum poly (root): x^12 - 2*x^11 - 5*x^10 + 6*x^9 + 13*x^8 - x^7 - 23*x^6 - 12*x^5 + 21*x^4 + 13*x^3 - 9*x^2 - 2*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s820(-3,2) 

Field minimum poly (root): x^12 - 2*x^11 - 5*x^10 + 9*x^9 + 11*x^8 - 10*x^7 - 20*x^6 - x^5 + 22*x^4 + 4*x^3 - 5*x^2 - 3*x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m235(5,2) 

Field minimum poly (root): x^12 - 2*x^11 - 7*x^10 + 13*x^9 + 23*x^8 - 37*x^7 - 42*x^6 + 61*x^5 + 31*x^4 - 47*x^3 + 3*x + 1 (8)
Real ramification: [2, 3, 4]
Finite ramification: [[17, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -4, 8, 7, -1, -3, 8, -6, -1, 0, 7, -8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2585(-5,1) 

Field minimum poly (root): x^12 - 2*x^11 - 7*x^10 + 14*x^9 + 12*x^8 - 25*x^7 + 3*x^5 - 7*x^4 + 13*x^3 - 2*x^2 + 3*x - 2 (10)
Real ramification: [2, 3, 5, 6, 7]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 3, -4, -3, 1, 1, 3, 2, 0, -4, -3, 3]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3110(-1,4)* 

Field minimum poly (root): x^12 - 2*x^11 - 7*x^10 + 14*x^9 + 17*x^8 - 31*x^7 - 22*x^6 + 23*x^5 + 25*x^4 - 5*x^3 - 16*x^2 + 2*x + 2 (10)
Real ramification: [1, 2, 3, 5, 6, 8]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, 2, 0, -2, -2, 3, 3, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2944(2,3)* 

Field minimum poly (root): x^12 - 2*x^11 - x^10 + 10*x^9 - 12*x^8 - 2*x^7 + 20*x^6 - 17*x^5 - x^4 + x^3 + 5*x^2 - 5*x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1]~], [17, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -7, -5, -4, -6, 0, -1, 2, -3, -4, 4, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2791(4,1) 

Field minimum poly (root): x^12 - 2*x^11 - x^10 + 2*x^9 - 2*x^8 + 7*x^7 - 4*x^6 + 3*x^5 - 4*x^4 - 2*x^3 + 2*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 0, -1, 0, 1, 1, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m288(1,3)* 

Field minimum poly (root): x^12 - 2*x^11 - x^10 + 6*x^9 - 3*x^8 - 6*x^7 + 8*x^6 + x^5 - 8*x^4 + 4*x^3 + 3*x^2 - 3*x + 1 (6)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0]~, 1, 9, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~], [17, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -4, 6, 8, -4, -3, 7, 1, -1, 6, -6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s554(3,2) 

Field minimum poly (root): x^12 - 2*x^11 - x^10 + 7*x^9 - 2*x^8 - 5*x^7 + 11*x^6 - 25*x^4 - 15*x^3 + 4*x^2 + 5*x + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2597(-1,4) 

Field minimum poly (root): x^12 - 2*x^11 - x^10 + x^9 + 3*x^8 + 3*x^7 - 6*x^6 - 3*x^5 + 8*x^4 - x^3 - 7*x^2 + 2*x + 1 (8)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[29, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 5, 6, -11, 0, -6, -3, 3, -12, -7, -13, -10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(3,2) 

Field minimum poly (root): x^12 - 2*x^11 - x^10 - 5*x^9 + 12*x^8 + 10*x^7 + x^6 - 21*x^5 - 19*x^4 + 14*x^3 + 11*x^2 - x - 1 (8)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s755(3,1) 

Field minimum poly (root): x^12 - 2*x^11 - x^10 - x^9 + 9*x^8 - x^7 - 16*x^6 + 20*x^5 - 5*x^4 - 10*x^3 + 12*x^2 - 6*x + 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, -3, -3, -1, 1, 0, 2, 2, 1, 0, -2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s936(-3,4)* 

Field minimum poly (root): x^12 - 2*x^11 - x^8 + 5*x^7 - 6*x^6 + 8*x^5 - 3*x^4 + 3*x^3 - 3*x^2 - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0]~], [3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, -1, -1, -1, 0, -1, -1, -1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s497(1,4) 

Field minimum poly (root): x^12 - 2*x^9 - 2*x^8 - 10*x^7 - 13*x^6 - 7*x^5 + 6*x^4 + 9*x^3 + 3*x^2 - x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3195(-4,1) 

Field minimum poly (root): x^12 - 3*x^10 - 2*x^9 + 4*x^8 + 7*x^7 - 9*x^6 - 3*x^5 + 7*x^4 - 5*x^3 + 3*x^2 + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[13, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -6, -1, 1, 1, 2, 4, 2, 3, 1, 3, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2229(-1,3)* v2230(1,3) 

Field minimum poly (root): x^12 - 3*x^10 - 3*x^9 + 3*x^8 + 2*x^7 - 2*x^6 + x^5 + 5*x^4 - x^3 - 4*x^2 - x + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 1, 0, 1, 1, -1, 1, -1, 1]~], [1429, [346, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [508, 77, 293, 693, 601, -423, -482, 84, 293, -323, -346, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m302(5,1) 

Field minimum poly (root): x^12 - 3*x^10 - 3*x^9 + 5*x^7 + x^6 + 3*x^5 + 5*x^4 + 7*x^3 - 7*x^2 - 2*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[2, [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1]~, 2, 1, [2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 0, 1, 1, 1, -1, 0, -1, -1, 0, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m288(-1,3)* 

Field minimum poly (root): x^12 - 3*x^11 + 10*x^9 - 11*x^8 - 9*x^7 + 24*x^6 - 6*x^5 - 18*x^4 + 13*x^3 + 2*x^2 - 5*x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[181, [53, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [45, -80, -57, -86, -12, -61, -81, 76, -4, 72, -56, 11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m249(-5,1)* 

Field minimum poly (root): x^12 - 3*x^11 + 10*x^9 - 15*x^8 + 7*x^7 + 11*x^6 - 30*x^5 + 24*x^4 - 3*x^2 - 2*x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[281, [-48, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-53, 70, 55, 118, -35, -35, -110, 18, -9, -88, 45, 37]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1534(-1,3)* 

Field minimum poly (root): x^12 - 3*x^11 + 11*x^9 - 14*x^8 + 16*x^7 - 5*x^6 - 30*x^5 + 28*x^4 + 11*x^3 - 11*x^2 - x + 1 (9)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3264(-4,1)* 

Field minimum poly (root): x^12 - 3*x^11 + 11*x^9 - 14*x^8 - 4*x^7 + 21*x^6 - 16*x^5 + 8*x^3 - 4*x^2 + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s755(-4,1) 

Field minimum poly (root): x^12 - 3*x^11 + 13*x^9 - 12*x^8 - 8*x^7 + 9*x^6 + 3*x^5 + x^4 - 9*x^3 + x^2 + 4*x - 1 (8)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[7, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 1, 3, 3, -2, -3, -1, -3, 0, -2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2395(3,1)* 

Field minimum poly (root): x^12 - 3*x^11 + 2*x^10 + 2*x^9 - 6*x^8 + 7*x^7 - 4*x^6 + 2*x^5 + x^4 - x^3 + x^2 - 2*x - 1 (9)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s944(-6,1)* 

Field minimum poly (root): x^12 - 3*x^11 + 2*x^10 + 2*x^9 - 6*x^8 + 7*x^7 - 4*x^6 + 2*x^5 + x^4 - x^3 + x^2 - 2*x - 1 (9)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2604(6,1) 

Field minimum poly (root): x^12 - 3*x^11 + 2*x^10 + 5*x^9 - 9*x^8 + 20*x^6 - 32*x^5 + 20*x^4 + 12*x^3 - 24*x^2 + 8*x - 4 (7)
Real ramification: [2]
Finite ramification: [[17, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -8, 8, -8, -5, 5, 7, -2, -8, -6, -4, 4]~], [53, [18, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [15, -4, 24, 14, 7, 4, -8, -11, 3, -3, -20, 0]~], [59, [-26, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, -14, 6, 14, 25, -15, -4, 4, -2, -23, 24, -14]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2901(-5,1) 

Field minimum poly (root): x^12 - 3*x^11 + 2*x^10 - 6*x^8 + 14*x^7 - 6*x^6 + 8*x^4 - 8*x^3 + 2*x^2 - x - 1 (8)
Real ramification: [3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3283(-1,3) 

Field minimum poly (root): x^12 - 3*x^11 + 2*x^10 - x^9 + 3*x^8 - 2*x^7 + 6*x^6 - 11*x^5 + 8*x^4 - 4*x^3 - 3*x^2 + 4*x - 1 (9)
Real ramification: [2, 3, 6]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, -1, 1, 1, 1, 0, 0, 1, -1, 0, -1, 1]~], [11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 5, 3, 4, 4, -4, -1, -1, 4, -5, -4, 1]~], [337, [167, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [113, -152, 13, -101, 152, -116, 31, 22, 125, 84, 167, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s424(5,1) 

Field minimum poly (root): x^12 - 3*x^11 + 2*x^9 + x^8 + 7*x^7 + 4*x^6 - 4*x^5 - 9*x^4 - 10*x^3 - 4*x^2 - x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s847(-2,3) 

Field minimum poly (root): x^12 - 3*x^11 + 3*x^10 + 3*x^9 - 13*x^8 + 17*x^7 - 14*x^6 - 20*x^5 + 31*x^4 + 6*x^3 - 9*x^2 - 1 (9)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s691(3,2) 

Field minimum poly (root): x^12 - 3*x^11 + 3*x^10 - 4*x^9 + 3*x^8 + x^7 + 2*x^6 + 4*x^5 - 2*x^4 - x^3 - 6*x^2 - 5*x - 1 (9)
Real ramification: [1, 2, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m141(-1,4) 

Field minimum poly (root): x^12 - 3*x^11 + 3*x^10 - x^9 + 4*x^8 - 12*x^7 + 16*x^6 - 10*x^5 + 8*x^3 - 8*x^2 + 4*x - 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s615(-3,2) 

Field minimum poly (root): x^12 - 3*x^11 + 4*x^10 + 3*x^9 - 16*x^8 + 26*x^7 - 12*x^6 - 16*x^5 + 38*x^4 - 33*x^3 + 7*x^2 + 3*x - 1 (8)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2914(-1,2)* 

Field minimum poly (root): x^12 - 3*x^11 + 4*x^10 - 2*x^9 - 4*x^6 + 4*x^5 - 5*x^4 + 4*x^3 + x^2 + 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, -1, -1, 2, 0, -2, 0, 1, -2, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2933(1,4)* 

Field minimum poly (root): x^12 - 3*x^11 + 4*x^10 - 7*x^9 + 6*x^8 + 9*x^7 - 23*x^6 + 13*x^5 + 14*x^4 - 16*x^3 + 4*x - 1 (10)
Real ramification: [1, 2, 3, 5, 6, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3520(6,1)* 

Field minimum poly (root): x^12 - 3*x^11 + 4*x^10 - 9*x^9 + 17*x^8 - 22*x^7 + 25*x^6 - 17*x^5 + 11*x^4 - 9*x^3 + 6*x^2 - 5*x + 2 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1]~], [5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 0, 1, 1, -1, 0, -1, -2, 0, 1, 2]~], [19, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, -1, -4, 5, 0, -8, -9, -3, 4, -5, -9, -9]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2665(-4,1)* 

Field minimum poly (root): x^12 - 3*x^11 + 4*x^9 - 2*x^8 + 7*x^7 - 16*x^6 + 4*x^5 + 18*x^4 - 8*x^3 - 7*x^2 + 2*x + 1 (10)
Real ramification: [1, 3, 5, 6, 8]
Finite ramification: [[2, [3, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m222(-1,3)* 

Field minimum poly (root): x^12 - 3*x^11 + 5*x^10 - 3*x^9 + 5*x^8 - 11*x^7 + 13*x^6 + 7*x^5 - 5*x^4 - 4*x^3 - 6*x^2 - 2*x - 1 (7)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0]~, 4, 1, [2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(5,1) 

Field minimum poly (root): x^12 - 3*x^11 + 5*x^10 - 7*x^9 + 6*x^8 - 3*x^7 - 3*x^6 + 10*x^5 - 12*x^4 + 12*x^3 - 8*x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2796(-2,3)* 

Field minimum poly (root): x^12 - 3*x^11 + 5*x^9 - 5*x^8 + 16*x^7 - 24*x^6 + 3*x^5 + 25*x^4 - 42*x^3 + 34*x^2 - 15*x + 4 (8)
Real ramification: [1, 2, 5]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0]~], [7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -3, -3, 2, 2, 0, -2, -1, -3, -1, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2914(4,3)* 

Field minimum poly (root): x^12 - 3*x^11 + 6*x^10 - 13*x^9 + 19*x^8 - 12*x^7 - 17*x^6 + 47*x^5 - 51*x^4 + 27*x^3 - 4*x^2 - 3*x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[53, [-24, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -21, -17, 3, -10, 23, -10, 14, 15, -18, 12]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3427(5,1)* 

Field minimum poly (root): x^12 - 3*x^11 + 6*x^10 - 7*x^9 + 3*x^8 + 5*x^7 - 12*x^6 + 9*x^5 - 9*x^3 + 4*x^2 + 2*x - 1 (7)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[43, [21, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -8, 2, 4, -10, 4, -2, -10, -6, 19, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s613(-1,4)* 

Field minimum poly (root): x^12 - 3*x^11 + 6*x^10 - 7*x^9 + 7*x^8 - 11*x^7 + 10*x^6 - 9*x^5 - x^4 - 10*x^3 + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 6, [1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0]~], [73, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [32, -17, -17, 23, -15, -25, 28, -2, 31, 30, 33, 16]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m188(3,4) 

Field minimum poly (root): x^12 - 3*x^11 + 6*x^9 - 4*x^8 - 8*x^7 + 5*x^6 + 19*x^5 + 13*x^4 - 6*x^3 - 11*x^2 - 6*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3076(1,3)* 

Field minimum poly (root): x^12 - 3*x^11 + 8*x^9 - 4*x^8 - 8*x^7 + x^6 + 14*x^5 - 8*x^4 - 10*x^3 + 17*x^2 - 3*x - 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3516(-3,2) 

Field minimum poly (root): x^12 - 3*x^11 + 8*x^9 - 5*x^8 - 8*x^7 + 6*x^6 + 7*x^5 - 4*x^4 - 4*x^3 + 2*x^2 + 3*x + 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1]~], [103, [-12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-43, -21, 41, -22, 50, -5, 42, -13, -35, 5, 9, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s890(-3,2) 

Field minimum poly (root): x^12 - 3*x^11 + x^10 + 4*x^9 - 6*x^8 + 2*x^7 + 4*x^6 - 3*x^4 + x^3 + 4*x^2 - 4*x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1]~], [41, [-14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 3, -3, -12, 14, 1, -9, 8, 1, -9, 11, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m184(4,3)* 

Field minimum poly (root): x^12 - 3*x^11 + x^10 + 5*x^9 - 6*x^8 - x^7 + 7*x^6 - 4*x^5 + 2*x^3 - 2*x^2 - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s709(-1,3)* 

Field minimum poly (root): x^12 - 3*x^11 + x^10 + 5*x^9 - 8*x^8 + 11*x^7 - 21*x^6 + 25*x^5 - 7*x^4 - 15*x^3 + 19*x^2 - 8*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0]~], [5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, 2, 2, 2, 1, 1, 1, 1, -1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(-1,3)* 

Field minimum poly (root): x^12 - 3*x^11 + x^10 + 5*x^9 - 9*x^7 + 6*x^6 + 6*x^5 - 6*x^4 + 4*x^3 - x^2 - 3*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[13, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 5, -6, -3, 6, -1, 3, 3, 5, 1, -4, 3]~], [41, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -10, -20, -9, -16, -1, -7, 17, -7, -13, 14, 11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3141(5,2) 

Field minimum poly (root): x^12 - 3*x^11 - 2*x^10 + 10*x^9 + 4*x^8 - 12*x^7 - 16*x^6 + 8*x^5 + 19*x^4 + 7*x^3 - 10*x^2 - 9*x + 1 (7)
Real ramification: [2, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1]~], [2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 6, [1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0]~], [37, [11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, -10, 0, 4, -2, 11, 11, 8, 3, 4, -14, 1]~], [37, [13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-17, 12, 4, -14, -6, -16, 0, -18, -4, -16, -16, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2189(1,3) 

Field minimum poly (root): x^12 - 3*x^11 - 2*x^10 + 12*x^9 - 6*x^8 - 14*x^7 + 19*x^6 - 8*x^4 + 10*x^3 - x^2 + x + 1 (8)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s802(5,1)* 

Field minimum poly (root): x^12 - 3*x^11 - 2*x^10 + 14*x^9 + 2*x^8 - 22*x^7 - 8*x^6 + 24*x^5 + 9*x^4 - 20*x^3 - 4*x^2 + 7*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2704(4,1)* 

Field minimum poly (root): x^12 - 3*x^11 - 3*x^10 + 14*x^9 + 3*x^8 - 23*x^7 - 12*x^6 + 21*x^5 + 17*x^4 - 2*x^3 - 5*x^2 + x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 2, 2, [1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0]~], [13, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-5, 5, 0, -5, -6, -2, -2, -2, 6, 3, -4, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m319(6,1)* 

Field minimum poly (root): x^12 - 3*x^11 - 4*x^10 + 17*x^9 + 4*x^8 - 41*x^7 + 6*x^6 + 54*x^5 - 16*x^4 - 38*x^3 + 16*x^2 + 12*x - 7 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1]~, 1, 2, [1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0]~], [47, [-18, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-12, 7, 2, 16, -16, -4, 8, 13, -4, -17, -17, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2078(-6,1)* 

Field minimum poly (root): x^12 - 3*x^11 - 4*x^10 + 17*x^9 + 6*x^8 - 37*x^7 - 13*x^6 + 45*x^5 + 22*x^4 - 26*x^3 - 17*x^2 + 4*x + 4 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0]~], [23, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, 10, 1, 10, -8, 7, -6, 11, 0, 6, 1, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2417(-3,2) 

Field minimum poly (root): x^12 - 3*x^11 - 5*x^10 + 18*x^9 + 5*x^8 - 33*x^7 + 7*x^6 + 14*x^5 - 5*x^4 + 8*x^3 - 9*x^2 + 2*x + 1 (7)
Real ramification: [2, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3536(6,1) 

Field minimum poly (root): x^12 - 3*x^11 - 5*x^10 + 20*x^9 + 2*x^8 - 37*x^7 + 14*x^6 + 6*x^5 - 2*x^4 + 17*x^3 - 12*x^2 + 4*x - 1 (10)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3184(3,2) 

Field minimum poly (root): x^12 - 3*x^11 - 5*x^10 + 20*x^9 + 5*x^8 - 44*x^7 + 2*x^6 + 38*x^5 + 4*x^4 - 11*x^3 - 10*x^2 - x + 3 (10)
Real ramification: [1, 2, 3, 4, 5, 7, 8]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s801(-1,2)* 

Field minimum poly (root): x^12 - 3*x^11 - 5*x^10 + 20*x^9 + 6*x^8 - 49*x^7 + 2*x^6 + 61*x^5 - 9*x^4 - 41*x^3 + 4*x^2 + 14*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0]~], [11, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 2, 0, -4, 1, -2, -2, 2, -4, -3, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m235(-1,3) 

Field minimum poly (root): x^12 - 3*x^11 - 5*x^10 + 20*x^9 + 6*x^8 - 50*x^7 - 2*x^6 + 68*x^5 + 4*x^4 - 50*x^3 - 8*x^2 + 16*x + 4 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1]~, 3, 1, [1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1]~], [3, [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, -1, -1, 1, 1, 0, -1, 1, 0]~], [19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 6, -8, -5, -3, -9, 3, 9, -7, 5, 9, -9]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2794(-6,1) v2948(-6,1)* 

Field minimum poly (root): x^12 - 3*x^11 - 5*x^10 + 32*x^9 - 31*x^8 - 62*x^7 + 161*x^6 - 93*x^5 - 83*x^4 + 130*x^3 - 34*x^2 - 30*x + 18 (8)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2974(5,2)* 

Field minimum poly (root): x^12 - 3*x^11 - 6*x^10 + 16*x^9 + 20*x^8 - 32*x^7 - 39*x^6 + 38*x^5 + 30*x^4 - 35*x^3 - 7*x^2 + 13*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v1534(5,1) 

Field minimum poly (root): x^12 - 3*x^11 - 6*x^10 + 22*x^9 + 7*x^8 - 44*x^7 + 16*x^5 + 16*x^4 + 3*x^3 - 8*x^2 + 5*x - 1 (8)
Real ramification: [2, 3, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 2, 2, -1, -2, -1, -1, -1, 0, 2, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2641(-5,2)* 

Field minimum poly (root): x^12 - 3*x^11 - 6*x^10 + 22*x^9 + 7*x^8 - 44*x^7 + 16*x^5 + 16*x^4 + 3*x^3 - 8*x^2 + 5*x - 1 (8)
Real ramification: [2, 3, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2642(-5,2)* 

Field minimum poly (root): x^12 - 3*x^11 - 7*x^10 + 24*x^9 + 17*x^8 - 63*x^7 - 38*x^6 + 88*x^5 + 51*x^4 - 52*x^3 - 40*x^2 + 7*x + 1 (8)
Real ramification: [2, 3]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1]~], [7, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-2, 2, 3, -2, -3, -3, 2, -1, -3, -2, 2, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3273(1,3) 

Field minimum poly (root): x^12 - 3*x^11 - 8*x^10 + 17*x^9 + 27*x^8 - 19*x^7 - 50*x^6 - 24*x^5 + 44*x^4 + 37*x^3 - 5*x^2 - 8*x - 1 (11)
Real ramification: [1, 2, 4, 5, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2824(4,1) 

Field minimum poly (root): x^12 - 3*x^11 - x^10 + 8*x^9 - 3*x^8 + x^7 - 6*x^6 - 2*x^5 + 10*x^4 - 13*x^3 + 10*x^2 - 4*x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[13, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, -1, -2, -3, 0, 1, -6, 4, -5, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m322(-3,4)* 

Field minimum poly (root): x^12 - 4*x^10 - 4*x^9 + 3*x^8 + 5*x^7 - 16*x^6 - 5*x^5 + 27*x^4 - 10*x^2 + 3*x - 1 (9)
Real ramification: [2, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s836(4,1) 

Field minimum poly (root): x^12 - 4*x^10 - 9*x^9 - 3*x^8 + 13*x^7 + 22*x^6 + 11*x^5 - 5*x^4 - 7*x^3 + x^2 + 4*x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, 0, 2, 2, -2, -1, 2, 2, 2, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3128(-2,3) 

Field minimum poly (root): x^12 - 4*x^10 - x^9 + 6*x^8 + 3*x^7 - 8*x^6 - 3*x^5 + 9*x^4 - 5*x^2 + x + 2 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3158(-4,1) 

Field minimum poly (root): x^12 - 4*x^11 + 10*x^10 - 16*x^9 + 11*x^8 - 3*x^7 - 11*x^6 + 10*x^5 - 4*x^4 + x^3 + 13*x^2 + 7*x + 1 (9)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1]~], [181, [-43, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-33, -69, 12, -89, -5, -84, -65, -53, -63, 88, 0, -80]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s498(-4,1) 

Field minimum poly (root): x^12 - 4*x^11 + 12*x^9 - 5*x^8 - 2*x^6 - 22*x^5 - 10*x^4 + 9*x^3 + 26*x^2 + 20*x + 4 (9)
Real ramification: [1, 3, 4, 5, 7]
Finite ramification: [[2, [1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1]~, 3, 1, [2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1333(-5,1)* 

Field minimum poly (root): x^12 - 4*x^11 + 16*x^9 - 14*x^8 - 7*x^7 + 7*x^6 - 21*x^5 + 43*x^4 - 2*x^3 - 30*x^2 + 11*x - 1 (10)
Real ramification: [1, 4, 5, 6, 7]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 1, -2, 0, 1, 1, 2, 2, -2, 1, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s533(5,1)* 

Field minimum poly (root): x^12 - 4*x^11 + 16*x^9 - 14*x^8 - 7*x^7 + 7*x^6 - 21*x^5 + 43*x^4 - 2*x^3 - 30*x^2 + 11*x - 1 (10)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 0, 1, -2, 2, 1, -3, 2, 1, 3, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s580(1,3) s581(5,1) 

Field minimum poly (root): x^12 - 4*x^11 + 16*x^9 - 20*x^8 - 4*x^7 + 37*x^6 - 34*x^5 - 6*x^4 + 20*x^3 - 4*x^2 - x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[11, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -2, -4, 0, -5, -3, -4, 1, 3, -5, 0, -4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s783(-3,2)* 

Field minimum poly (root): x^12 - 4*x^11 + 17*x^9 - 15*x^8 - 15*x^7 + 16*x^6 + 7*x^5 - 3*x^4 - 4*x^3 - 2*x^2 - x - 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[101, [-39, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-45, -27, -11, 5, -50, 40, -46, 50, 25, -50, 34, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3397(-2,3) 

Field minimum poly (root): x^12 - 4*x^11 + 17*x^9 - 9*x^8 - 32*x^7 + 12*x^6 + 38*x^5 + x^4 - 17*x^3 - 11*x^2 - 4*x - 2 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1]~], [2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -1, 1, 0, -1, 1, 1, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s722(5,1)* 

Field minimum poly (root): x^12 - 4*x^11 + 2*x^10 + 13*x^9 - 23*x^8 - 7*x^7 + 49*x^6 - 29*x^5 - 31*x^4 + 34*x^3 + 3*x^2 - 7*x + 1 (9)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s530(-4,3)* 

Field minimum poly (root): x^12 - 4*x^11 + 2*x^10 + 15*x^9 - 26*x^8 - x^7 + 37*x^6 - 26*x^5 - 15*x^4 + 20*x^3 - x^2 - 4*x + 1 (9)
Real ramification: [2, 3, 4, 6, 7, 8]
Finite ramification: [[7, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 3, -2, -3, 1, -3, -1, 0, 1, 0, 1, 1]~], [19, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 6, -1, 3, -8, -8, 1, -3, -6, 3, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3520(5,2)* 

Field minimum poly (root): x^12 - 4*x^11 + 2*x^10 + 15*x^9 - 26*x^8 - x^7 + 37*x^6 - 26*x^5 - 15*x^4 + 20*x^3 - x^2 - 4*x + 1 (9)
Real ramification: [3, 4, 5, 6, 8]
Finite ramification: [[7, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -3, 3, 1, -3, -3, -3, 3, 2, 2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3519(-5,2) 

Field minimum poly (root): x^12 - 4*x^11 + 2*x^10 + 5*x^9 - 3*x^8 + 5*x^6 + 6*x^5 - 2*x^4 - 18*x^3 - 25*x^2 - 16*x - 4 (7)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[2, [1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1]~, 2, 1, [1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3304(5,1)* 

Field minimum poly (root): x^12 - 4*x^11 + 2*x^10 + 7*x^9 - 4*x^8 - 5*x^7 + 4*x^6 - x^5 - 3*x^4 - 3*x^3 + 2*x^2 - 2*x - 2 (6)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0]~], [5, [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, -1, -1, -2, -2, -1, 0, -1, -2, 0, -2, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s854(-6,1) 

Field minimum poly (root): x^12 - 4*x^11 + 2*x^10 + 9*x^9 - 11*x^8 - 4*x^7 + 14*x^6 - 5*x^5 - 6*x^4 + 4*x^3 + x^2 - x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m310(-7,1) 

Field minimum poly (root): x^12 - 4*x^11 + 3*x^10 + 5*x^9 - 8*x^8 - 6*x^7 + 9*x^6 + 16*x^5 + 8*x^4 - 4*x^3 - 16*x^2 - 16*x - 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s939(-3,2)* 

Field minimum poly (root): x^12 - 4*x^11 + 4*x^10 + 2*x^9 - 7*x^8 + 7*x^7 - 3*x^6 + 3*x^4 - 2*x^3 + 2*x^2 - 3*x + 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3431(1,4) 

Field minimum poly (root): x^12 - 4*x^11 + 4*x^10 + 4*x^9 - 8*x^8 - 5*x^7 + 17*x^6 - 6*x^5 - 10*x^4 + 11*x^3 - 2*x^2 - 4*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3080(-5,1)* 

Field minimum poly (root): x^12 - 4*x^11 + 4*x^10 + 5*x^9 - 19*x^8 + 22*x^7 + 6*x^6 - 45*x^5 + 35*x^4 + 18*x^3 - 32*x^2 + 6*x + 5 (8)
Real ramification: [2, 3, 4]
Finite ramification: [[5, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, 1, -1, 2, -1, 2, 2, 2, -1, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3143(-1,4)* 

Field minimum poly (root): x^12 - 4*x^11 + 4*x^10 - 3*x^8 + 9*x^7 - 8*x^6 + 8*x^5 - 10*x^4 + 7*x^3 - 8*x^2 + 7*x - 2 (9)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m358(4,1) 

Field minimum poly (root): x^12 - 4*x^11 + 4*x^10 - 3*x^8 + 9*x^7 - 8*x^6 + 8*x^5 - 10*x^4 + 7*x^3 - 8*x^2 + 7*x - 2 (9)
Real ramification: [2, 5, 6]
Finite ramification: [[41, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [13, -2, -2, 3, -18, -5, -1, 17, 7, -16, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s423(-4,1)* 

Field minimum poly (root): x^12 - 4*x^11 + 6*x^10 - 2*x^9 - 9*x^8 + 17*x^7 - 18*x^6 + 21*x^5 - 25*x^4 + 21*x^3 - 4*x^2 - 5*x + 5 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 2, 1, [1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3293(4,1) 

Field minimum poly (root): x^12 - 4*x^11 + 6*x^10 - 6*x^9 - 17*x^7 + 5*x^6 - 19*x^5 - 14*x^4 - 23*x^3 - 7*x^2 - 3*x + 1 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]~, 3, 1, [1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0]~], [2, [1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0]~, 2, 1, [1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2447(-1,3) 

Field minimum poly (root): x^12 - 4*x^11 + 7*x^10 - 15*x^9 + 15*x^8 + 6*x^7 + 2*x^6 - 4*x^5 + 7*x^4 + 14*x^3 - x^2 + 3*x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 3, 2, [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]~], [2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2738(-3,4) 

Field minimum poly (root): x^12 - 4*x^11 + 7*x^10 - 6*x^9 - 8*x^8 + 20*x^7 - 28*x^6 + 8*x^5 + 3*x^4 - 22*x^3 + 9*x^2 - 8*x - 4 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[167, [62, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [31, -50, 32, 40, 44, -16, 76, 22, 73, 76, -44, -5]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3444(-2,3)* 

Field minimum poly (root): x^12 - 4*x^11 + 8*x^10 - 10*x^9 + 8*x^8 - 2*x^7 - 2*x^6 + 5*x^5 - 7*x^4 + 3*x^3 - 2*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -2, 2, 1, -1, -2, -2, -2, 2, 2, 2, 2]~], [53, [26, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 3, -8, -4, 4, -2, -2, -17, 5, -10, 21, 17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m356(-3,4) 

Field minimum poly (root): x^12 - 4*x^11 + 8*x^10 - 17*x^9 + 32*x^8 - 42*x^7 + 36*x^6 - 9*x^5 - 17*x^4 + 18*x^3 - 2*x^2 - 2*x + 2 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2322(-5,2) 

Field minimum poly (root): x^12 - 4*x^11 + x^10 + 10*x^9 - 16*x^8 + 17*x^7 - 6*x^6 - 10*x^5 + x^4 + 15*x^3 - 9*x^2 - 2*x + 1 (8)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3531(-3,1) 

Field minimum poly (root): x^12 - 4*x^11 + x^10 + 11*x^9 - 7*x^8 - 4*x^7 - 7*x^6 + 4*x^5 + x^4 + 8*x^3 + x - 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[89, [-41, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [24, -36, -1, 11, 20, 39, 3, -15, 35, 5, -34, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3427(-4,1)* 

Field minimum poly (root): x^12 - 4*x^11 + x^10 + 13*x^9 - 13*x^8 - 14*x^7 + 42*x^6 - 36*x^5 - 5*x^4 - 2*x^3 - 3*x^2 + 3*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2447(5,1)* 

Field minimum poly (root): x^12 - 4*x^11 + x^10 + 14*x^9 - 9*x^8 - 24*x^7 + 12*x^6 + 28*x^5 - 13*x^4 - 15*x^3 + 10*x^2 + 4*x - 1 (7)
Real ramification: [2, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2802(-4,1)* 

Field minimum poly (root): x^12 - 4*x^11 + x^10 + 18*x^9 - 22*x^8 - 31*x^7 + 66*x^6 + 17*x^5 - 89*x^4 + 8*x^3 + 60*x^2 - 8*x - 16 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 6, [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3077(-4,1) 

Field minimum poly (root): x^12 - 4*x^11 + x^10 + 18*x^9 - 32*x^8 + 4*x^7 + 55*x^6 - 106*x^5 + 88*x^4 + 12*x^3 - 68*x^2 + 4*x + 11 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1]~], [2, [2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1]~, 1, 1, [2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 4, 1, [1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 3, [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0]~], [11, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 3, 4, -1, 2, -5, 2, 3, 3, 4, -1, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s923(-5,1) 

Field minimum poly (root): x^12 - 4*x^11 - 2*x^10 + 32*x^9 - 51*x^8 - 5*x^7 + 87*x^6 - 66*x^5 - 27*x^4 + 44*x^3 + 2*x^2 - 13*x - 3 (7)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, -1, 2, -1, 1, -2, -1, -2, -1, 0, 1, -1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3183(-1,4)* 

Field minimum poly (root): x^12 - 4*x^11 - 6*x^10 + 40*x^9 - 10*x^8 - 120*x^7 + 95*x^6 + 102*x^5 - 94*x^4 - 34*x^3 + 28*x^2 + 5*x - 2 (10)
Real ramification: [1, 2, 3, 5, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3258(7,1) 

Field minimum poly (root): x^12 - 4*x^11 - x^10 + 21*x^9 - 15*x^8 - 32*x^7 + 32*x^6 + 17*x^5 - 15*x^4 - 4*x^3 - 6*x^2 + 2*x + 5 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2040(3,2) 

Field minimum poly (root): x^12 - 4*x^11 - x^10 + 21*x^9 - 17*x^8 - 26*x^7 + 34*x^6 + 2*x^5 - 9*x^4 - 8*x^3 + 4*x^2 + 3*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2040(5,1)* 

Field minimum poly (root): x^12 - 5*x^10 + 12*x^8 - 4*x^7 - 21*x^6 + 4*x^5 + 21*x^4 - x^3 - 10*x^2 + x + 1 (9)
Real ramification: [2, 3, 4, 6]
Finite ramification: [[13, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -3, 3, 1, 0, 0, -3, 6, -3, -2, 6, 3]~], [41, [18, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 7, -10, -1, -17, -1, 11, -16, -3, 10, -13, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3298(4,3)* v3490(1,3)* v3492(1,3)* 

Field minimum poly (root): x^12 - 5*x^10 + 12*x^8 - x^7 - 19*x^6 + 2*x^5 + 19*x^4 - 3*x^3 - 13*x^2 + 2*x + 4 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0]~], [2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0]~], [19, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 0, 0, 2, 7, -2, 3, -1, -5, 0, -5, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2101(3,2) 

Field minimum poly (root): x^12 - 5*x^10 + 12*x^8 - x^7 - 19*x^6 + 2*x^5 + 19*x^4 - 3*x^3 - 13*x^2 + 2*x + 4 (7)
Real ramification: [1, 3]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0]~], [2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0]~], [7, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, -3, -3, 0, 3, 2, -1, -2, 3, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2100(-3,2)* 

Field minimum poly (root): x^12 - 5*x^10 - 3*x^9 + 8*x^8 + 4*x^7 - 18*x^6 - 21*x^5 + 7*x^4 + 23*x^3 + 16*x^2 + 6*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3509(-1,2)* v3510(-1,2)* 

Field minimum poly (root): x^12 - 5*x^10 - 4*x^9 + 16*x^8 + 11*x^7 - 20*x^6 - 7*x^5 + 15*x^4 + 5*x^3 - 6*x^2 - 2*x + 1 (7)
Real ramification: [1, 3]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 2, 0, 2, 2, 1, 2, 2, 1, -2, 1, 1]~], [17, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 8, -1, 4, 7, 2, -6, 8, -5, 2, 2, -5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s844(-1,3)* 

Field minimum poly (root): x^12 - 5*x^10 - 5*x^9 + 11*x^8 + 19*x^7 - 13*x^6 - 32*x^5 + 5*x^4 + 32*x^3 + 12*x^2 - 8*x - 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(-4,3) 

Field minimum poly (root): x^12 - 5*x^11 + 11*x^10 - 15*x^9 + 10*x^8 + 5*x^7 - 17*x^6 + 20*x^5 - 10*x^4 - 2*x^3 + 5*x^2 - 5*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s784(6,1)* 

Field minimum poly (root): x^12 - 5*x^11 + 14*x^10 - 29*x^9 + 45*x^8 - 47*x^7 + 31*x^6 - 2*x^5 - 25*x^4 + 33*x^3 - 24*x^2 + 14*x - 2 (3)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s855(5,2)* 

Field minimum poly (root): x^12 - 5*x^11 + 3*x^10 + 20*x^9 - 26*x^8 - 22*x^7 + 18*x^6 + 59*x^5 - 19*x^4 - 76*x^3 + 40*x^2 + 13*x - 7 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s489(-6,1)* 

Field minimum poly (root): x^12 - 5*x^11 + 3*x^10 + 21*x^9 - 36*x^8 - 3*x^7 + 48*x^6 - 43*x^5 + 15*x^4 - 5*x^3 + 6*x^2 - x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0]~, 1, 2, [1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0]~], [13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 5, -3, -2, -2, -6, 1, -3, 2, 1, 6, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2402(-1,3)* 

Field minimum poly (root): x^12 - 5*x^11 + 4*x^10 + 10*x^9 - 2*x^8 - 29*x^7 + 7*x^6 + 35*x^5 - 23*x^4 - 13*x^3 + 15*x^2 - 2 (10)
Real ramification: [1, 3, 5, 6, 7, 8]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1]~], [2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m372(-1,3) 

Field minimum poly (root): x^12 - 5*x^11 + 4*x^10 + 14*x^9 - 30*x^8 + 17*x^7 + 27*x^6 - 58*x^5 + 26*x^4 + 12*x^3 - 14*x^2 + 3*x + 1 (10)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2941(3,1)* 

Field minimum poly (root): x^12 - 5*x^11 + 4*x^10 + 15*x^9 - 23*x^8 - 16*x^7 + 40*x^6 + 3*x^5 - 31*x^4 + 3*x^3 + 10*x^2 - x - 1 (8)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m289(-7,1) 

Field minimum poly (root): x^12 - 5*x^11 + 5*x^10 + 7*x^9 - 11*x^8 - 2*x^7 + 11*x^6 + 3*x^5 - 8*x^4 - 12*x^3 - 11*x^2 - 7*x - 2 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3305(-5,1)* 

Field minimum poly (root): x^12 - 5*x^11 + 6*x^10 + 8*x^9 - 23*x^8 + 9*x^7 + 19*x^6 - 21*x^5 + 3*x^4 + 8*x^3 - 6*x^2 + x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3080(-1,3) 

Field minimum poly (root): x^12 - 5*x^11 + 7*x^10 + 4*x^9 - 20*x^8 + 20*x^7 - 6*x^6 - 14*x^5 + 28*x^4 - 15*x^3 - 7*x^2 + 11*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s676(-4,1)* 

Field minimum poly (root): x^12 - 5*x^11 + 8*x^10 - 3*x^9 - 10*x^8 + 19*x^7 - 9*x^6 - 5*x^5 + 13*x^4 - 3*x^3 - 2*x^2 + 3*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1]~, 2, 1, [1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2715(2,3) v2716(-6,1) 

Field minimum poly (root): x^12 - 5*x^11 + 9*x^10 - 3*x^9 - 17*x^8 + 36*x^7 - 31*x^6 + 7*x^5 + 14*x^4 - 13*x^3 + 4*x^2 + 3*x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1]~], [17, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 4, 2, 6, 4, -8, -2, 1, 7, 7, 5, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3324(-4,1)* 

Field minimum poly (root): x^12 - 5*x^11 + 9*x^10 - 8*x^9 - 8*x^8 + 32*x^7 - 24*x^6 - 9*x^5 + 19*x^4 - 8*x^3 - x^2 + 4*x - 1 (8)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0]~, 1, 9, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~], [5, [-2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, -2, 2, -2, -1, 1, -1, 2, 1, 0, 1, 0]~], [11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -4, 5, -4, 3, 5, 4, -2, 0, -5, -5, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s919(5,1) 

Field minimum poly (root): x^12 - 6*x^10 + 19*x^8 - x^7 - 34*x^6 + 5*x^5 + 31*x^4 - 3*x^3 - 13*x^2 - x + 1 (7)
Real ramification: [1, 3, 4, 5, 6]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s764(1,3) 

Field minimum poly (root): x^12 - 6*x^10 - 2*x^9 + 15*x^8 + 8*x^7 - 14*x^6 - 14*x^5 - 4*x^4 + 14*x^3 + 10*x^2 - 6*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m343(3,1)* 

Field minimum poly (root): x^12 - 6*x^10 - 3*x^9 + 21*x^8 + 8*x^7 - 46*x^6 - 8*x^5 + 48*x^4 + 3*x^3 - 16*x^2 - x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s869(-5,1) 

Field minimum poly (root): x^12 - 6*x^10 - 6*x^9 + 13*x^8 + 22*x^7 + 2*x^6 - 25*x^5 - 21*x^4 - 2*x^3 + 8*x^2 + 4*x + 1 (7)
Real ramification: [2, 3, 4]
Finite ramification: [[3, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 3, 1, 3, 2, 3, 3, 1, 3, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3276(4,3) 

Field minimum poly (root): x^12 - 6*x^10 - 6*x^9 + 2*x^8 + 12*x^7 + 10*x^6 + x^5 - 9*x^4 - 11*x^3 + 3*x^2 + 9*x + 3 (9)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s521(4,1) 

Field minimum poly (root): x^12 - 6*x^11 + 15*x^10 - 19*x^9 + 12*x^8 - 3*x^7 + x^6 - 7*x^5 + 17*x^4 - 11*x^3 - 8*x^2 + 6*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3489(4,1)* 

Field minimum poly (root): x^12 - 7*x^10 + 18*x^8 - 2*x^7 - 29*x^6 + 3*x^5 + 31*x^4 - 5*x^3 - 21*x^2 + 4 (7)
Real ramification: [3, 4, 5, 6]
Finite ramification: [[2, [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1]~, 2, 1, [2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1]~], [97, [13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [18, -22, -45, 20, -13, 21, 35, -7, 1, -16, 39, 24]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3465(-4,1) 

Field minimum poly (root): x^12 - 7*x^10 + 24*x^8 - 41*x^6 - 5*x^5 + 31*x^4 + 7*x^3 - 10*x^2 - 2*x + 1 (9)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[5, [-1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, -1, 1, 0, 1, -2, 2, -2, -2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s613(4,1) 

Field minimum poly (root): x^12 - 7*x^10 - x^9 + 7*x^8 + 19*x^7 + 10*x^6 - 26*x^5 - 33*x^4 + 17*x^2 + 10*x + 2 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, -2, -1, -2, -2, 1, 2, 0, 2, -2, -1]~], [17, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 3, 3, 0, 1, 6, -7, 2, 5, 5, 2, -8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3226(-5,2)* 

Field minimum poly (root): x^12 - 8*x^10 - 5*x^9 + 22*x^8 + 23*x^7 - 21*x^6 - 32*x^5 + 6*x^4 + 17*x^3 - x^2 - 4*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0]~], [3, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, -1, 1, 0, -1, 1, 1, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2388(1,3) 

Field minimum poly (root): x^12 - 9*x^10 + 30*x^8 - 43*x^6 - x^5 + 24*x^4 + 2*x^3 - 8*x^2 - x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0]~], [5, [-1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-2, -2, -1, 1, -1, -2, -1, 1, 1, -2, 2, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m188(-3,2)* 

Field minimum poly (root): x^12 - 9*x^10 - 10*x^9 + 5*x^8 + 19*x^7 + 37*x^6 + 18*x^5 - 40*x^4 - 38*x^3 + x^2 + 9*x + 2 (9)
Real ramification: [1, 2, 5, 6, 8]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, 2, 0, 1, -1, 0, 0, -1, -2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s679(-5,1)* 

Field minimum poly (root): x^12 - x^10 - 2*x^9 - 2*x^6 + 3*x^5 + 2*x^4 - 6*x^3 - 3*x^2 + 2*x + 1 (7)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s889(2,3)* 

Field minimum poly (root): x^12 - x^10 - 2*x^9 - 4*x^8 + 2*x^7 + 6*x^6 + 8*x^5 - 3*x^4 - 6*x^3 - 4*x^2 + x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[45361, [12299, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19824, -8809, 1192, 20012, -4693, 21130, 10576, -5795, -7907, -13535, -12299, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2911(-3,2)* 

Field minimum poly (root): x^12 - x^10 - 2*x^9 - 4*x^8 - x^7 + x^6 + 5*x^5 + 6*x^4 + x^3 - x^2 + x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m249(-1,3) 

Field minimum poly (root): x^12 - x^10 - 4*x^9 - 7*x^8 - 6*x^7 + 2*x^6 + 9*x^5 + 10*x^4 + 5*x^3 - 3*x^2 - 4*x - 1 (8)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m170(-1,4) 

Field minimum poly (root): x^12 - x^10 - 6*x^9 - 7*x^8 + 2*x^7 + 16*x^6 + 29*x^5 + 23*x^4 + 7*x^3 - 7*x^2 - 7*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s949(3,2)* 

Field minimum poly (root): x^12 - x^11 + 2*x^10 + x^9 + 2*x^8 + 2*x^7 - 3*x^6 + 8*x^5 - 6*x^4 - 2*x^3 + 5*x^2 - 6*x + 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3372(1,3)* 

Field minimum poly (root): x^12 - x^11 + 2*x^10 - 2*x^9 + 2*x^8 + 7*x^5 - 9*x^4 - 5*x^3 + 6*x^2 + x - 1 (8)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[271, [-66, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-99, 134, 43, -28, 106, 59, 5, 53, 118, -88, 130, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2050(1,2) 

Field minimum poly (root): x^12 - x^11 + 2*x^9 - 4*x^8 + 3*x^6 + 5*x^5 + 4*x^4 - 11*x^3 - 16*x^2 - 7*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s722(-2,3) 

Field minimum poly (root): x^12 - x^11 + 3*x^10 - 2*x^9 + 4*x^8 - 3*x^7 + x^6 - 4*x^5 - 3*x^4 - 2*x^3 - x^2 + 2*x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[113, [16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 49, 16, 27, -17, 30, -32, 38, 4, 48, -19, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s889(-3,2) 

Field minimum poly (root): x^12 - x^11 + 3*x^10 - 2*x^9 + 4*x^8 - x^6 - 2*x^5 + 3*x^4 - 4*x^3 - 3*x^2 + 1 (7)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s826(3,2) 

Field minimum poly (root): x^12 - x^11 + 3*x^10 - 3*x^8 + 2*x^7 - 2*x^6 - 15*x^5 + 5*x^4 + 11*x^3 + x^2 - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s847(-1,2)* 

Field minimum poly (root): x^12 - x^11 + 3*x^10 - x^9 - 4*x^8 + 7*x^7 - 16*x^6 + 12*x^5 - 7*x^4 + 4*x^3 + 2*x^2 + 1 (3)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2572(-2,3) 

Field minimum poly (root): x^12 - x^11 + 4*x^10 - 8*x^9 + 4*x^8 - 4*x^7 - x^6 + 20*x^5 - 9*x^4 - 12*x^3 + 6*x^2 + 2*x - 1 (8)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2632(-1,2) 

Field minimum poly (root): x^12 - x^11 + 4*x^8 + 10*x^7 - 6*x^6 - 10*x^4 + x^3 + 10*x^2 - 6*x + 1 (6)
Real ramification: [1, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2876(2,3) v2877(-6,1) 

Field minimum poly (root): x^12 - x^11 + 5*x^10 - 5*x^9 + 9*x^8 - 8*x^7 + 7*x^6 - 4*x^5 + 3*x^4 - 2*x^3 + 2*x^2 - 4*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m371(4,3) 

Field minimum poly (root): x^12 - x^11 + 5*x^10 - 9*x^9 + 13*x^8 - 23*x^7 + 18*x^6 - 18*x^5 + 11*x^4 + 2*x^3 + 3*x^2 + 4*x + 1 (2)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2875(-1,3)* v2875(1,3) 

Field minimum poly (root): x^12 - x^11 + x^10 + 2*x^9 - 3*x^8 + 2*x^7 - 10*x^6 + 19*x^5 - 9*x^4 - 11*x^3 + 12*x^2 - 2*x - 2 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3200(-1,2) 

Field minimum poly (root): x^12 - x^11 + x^10 + x^9 - 2*x^8 - 8*x^7 + 18*x^6 - 18*x^5 + 4*x^4 + 5*x^3 - 7*x^2 + x + 2 (6)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3095(3,1) 

Field minimum poly (root): x^12 - x^11 + x^10 - 3*x^9 - 3*x^8 + x^7 + 12*x^6 + 10*x^5 - 9*x^4 - 14*x^3 - x^2 + 4*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1]~, 2, 2, [1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0]~], [43, [22, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, 7, 15, 18, 4, -19, -1, -18, 3, -18, 2, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s384(5,1)* 

Field minimum poly (root): x^12 - x^11 + x^10 - 3*x^9 - 6*x^8 + 4*x^7 - 13*x^6 + 17*x^5 - 6*x^4 + 5*x^3 + 2*x^2 + 2*x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0]~, 2, 2, [1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0]~], [1039, [-456, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-292, 19, -518, -346, 266, 139, -223, 166, -88, 502, 87, 86]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s823(5,1)* 

Field minimum poly (root): x^12 - x^11 + x^10 - 5*x^9 + 3*x^8 + 3*x^7 + 6*x^6 + 2*x^5 - 14*x^4 - x^3 + 7*x^2 - 1 (8)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 1, -2, -2, -1, 2, 1, 2, -2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2343(1,2) 

Field minimum poly (root): x^12 - x^11 + x^10 - x^9 + x^8 - 7*x^7 + 7*x^6 - 6*x^5 + 2*x^4 + 2*x^3 + x^2 - 1 (7)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2633(-1,4)* 

Field minimum poly (root): x^12 - x^11 + x^10 - x^9 - 5*x^8 + 4*x^7 - 6*x^6 + 5*x^5 + 5*x^4 - 2*x^3 + 6*x^2 - 3*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 1, -1, -1, 1, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(-3,2) 

Field minimum poly (root): x^12 - x^11 + x^10 - x^9 - 6*x^8 + 6*x^7 - 9*x^6 + 10*x^5 + 3*x^3 + 4*x^2 + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0]~], [2, [3, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0]~], [3, [-1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, -1, 0, -1, -1, 0, -1, -1, 1, 1, 1, 0]~], [5, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, -1, 2, 1, -2, -2, -2, 1, 2, -2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2293(2,3)* 

Field minimum poly (root): x^12 - x^11 - 2*x^10 + 3*x^9 + 5*x^8 - 5*x^7 - 6*x^6 + 2*x^5 + 6*x^4 - 4*x^2 + x + 1 (7)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v0753(5,2) 

Field minimum poly (root): x^12 - x^11 - 2*x^10 + 5*x^9 - 4*x^8 - 4*x^7 + 13*x^6 - 8*x^5 - 10*x^4 + 11*x^3 + x^2 - 4*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s869(3,2)* 

Field minimum poly (root): x^12 - x^11 - 2*x^10 + 5*x^9 - 5*x^8 - 6*x^7 + 10*x^6 - 4*x^5 + 7*x^3 - 7*x^2 - 6*x - 1 (7)
Real ramification: [2, 4, 6]
Finite ramification: [[1039, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [471, 223, 133, 132, 1, 73, 3, 16, -55, -40, 67, 177]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2780(-4,1)* 

Field minimum poly (root): x^12 - x^11 - 2*x^10 + 8*x^9 - 12*x^8 + 9*x^7 - 2*x^6 - 8*x^5 + 9*x^4 - 5*x^3 + 3*x - 1 (9)
Real ramification: [2, 3, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m199(-5,1) 

Field minimum poly (root): x^12 - x^11 - 2*x^10 + 8*x^9 - 4*x^8 - 11*x^7 + 16*x^6 - 17*x^4 + 4*x^3 + 7*x^2 - x - 1 (8)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[43, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, -1, 13, -20, 21, -18, -20, 20, 4, -15, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3257(-3,2) 

Field minimum poly (root): x^12 - x^11 - 2*x^10 + x^9 - x^8 - x^7 + 4*x^6 + x^5 - x^4 + 2*x^3 - x^2 - 2*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m402(3,2) 

Field minimum poly (root): x^12 - x^11 - 2*x^9 + 2*x^8 + 2*x^7 + 3*x^6 - 3*x^5 - 3*x^4 - 4*x^3 + 3*x^2 + 2*x - 1 (7)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1]~, 1, 2, [2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0]~], [139, [-41, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-21, 51, -66, 29, -67, -28, 6, -67, 1, -27, 21, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3528(3,2) 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 2*x^9 + x^8 - 3*x^7 + 6*x^5 + 6*x^4 - x^3 - 3*x^2 - 3*x - 1 (8)
Real ramification: [1, 3, 5]
Finite ramification: [[7, [3, -3, -3, -2, 3, 2, 0, -2, -3, 3, 0, 2]~, 2, 1, [7, 7, 7, 7, 3, 4, 3, 5, 7, 3, 2, 3]~], [19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, -1, 2, 8, 1, -5, -2, 2, 3, -4, -1, 7]~], [1151, [-342, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [490, 202, 80, 567, -346, 208, 528, -509, 402, 365, 339, 7]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m361(1,4)* 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 2*x^9 - 3*x^8 + 2*x^7 + 5*x^6 - 4*x^5 + 3*x^4 - 4*x^3 + 4*x^2 - 1 (8)
Real ramification: [2, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3229(-2,3)* 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 3*x^9 - x^7 + 3*x^6 - 2*x^5 + 3*x^4 - x^3 - x^2 + 2*x - 4 (9)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 3, 6, 5, -1, 3, 3, -6, 1, -5, -5, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m389(6,1) 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 3*x^9 - x^7 + 3*x^6 - 2*x^5 + 3*x^4 - x^3 - x^2 + 2*x - 4 (9)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[2, [2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0]~], [389, [55, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 105, 89, 61, 6, 13, -79, 157, -18, -36, -57, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s478(-6,1)* s479(6,1) 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 3*x^9 - x^7 - x^6 + 8*x^5 - 7*x^3 + x^2 - 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s741(-2,3) 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 4*x^9 + 5*x^8 - 10*x^7 - 4*x^6 + 13*x^5 - 10*x^3 + 2*x^2 + 3*x - 1 (5)
Real ramification: [2, 3]
Finite ramification: [[43, [19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, 11, -5, 2, 18, 2, 11, 17, -21, -10, -20, 1]~], [263, [60, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-57, 1, 57, 126, -81, 98, -28, -26, -74, -25, -61, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2599(1,4)* 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 6*x^9 + x^8 - 9*x^7 + 2*x^6 + 9*x^5 - 3*x^4 - 7*x^3 + 2*x^2 + 4*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, -1, 0, 0, 0, 1, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m160(-3,4)* 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 7*x^9 - 2*x^8 - 12*x^7 + 12*x^6 + 3*x^5 - 13*x^4 + 3*x^3 + 6*x^2 - x - 1 (8)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[683, [-27, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [253, 60, 2, -253, 67, -200, 321, 240, -244, 16, 26, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3308(-3,2) 

Field minimum poly (root): x^12 - x^11 - 3*x^10 + 8*x^8 + 3*x^7 - 13*x^6 - 3*x^5 + 13*x^4 + x^3 - 6*x^2 + 1 (6)
Real ramification: [1, 2]
Finite ramification: [[103, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [42, 18, 45, -11, -2, -3, 43, -38, -38, 36, 4, 7]~], [307, [-44, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, -52, 3, 32, -152, -132, 106, 128, -83, 44, 41, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s835(-3,1)* 

Field minimum poly (root): x^12 - x^11 - 3*x^10 - 2*x^9 + x^8 + x^7 + 8*x^6 + 18*x^5 + 15*x^4 + 18*x^3 + 17*x^2 + 7*x + 1 (8)
Real ramification: [1, 2, 3, 4, 6]
Finite ramification: [[19, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -7, 1, -5, 8, 5, -6, 2, 3, 1, 4, 9]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3465(-3,1)* 

Field minimum poly (root): x^12 - x^11 - 3*x^10 - 2*x^9 + x^8 + x^7 + 8*x^6 + 18*x^5 + 15*x^4 + 18*x^3 + 17*x^2 + 7*x + 1 (8)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[73, [14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-25, 17, 24, -13, -15, -9, -32, 17, 16, -9, -15, 9]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s946(5,1) 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 3*x^9 + 10*x^8 - 6*x^7 - 16*x^6 + 7*x^5 + 17*x^4 - 5*x^3 - 13*x^2 + 2*x + 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 6, [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 5, -3, -2, 5, -4, -4, -5, 4, -5, -5, 2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2101(2,3)* 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 3*x^9 + 10*x^8 - 6*x^7 - 16*x^6 + 7*x^5 + 17*x^4 - 5*x^3 - 13*x^2 + 2*x + 4 (6)
Real ramification: [1, 3]
Finite ramification: [[2, [2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0]~, 1, 2, [1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0]~], [2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0]~, 1, 6, [0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0]~], [13, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -5, -2, 0, -5, -6, -4, -6, -5, -5, 2, 2]~], [23, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, -8, -9, 3, 1, -1, 3, 11, -10, -7, 3, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2100(-2,3) 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 3*x^9 + 10*x^8 - 6*x^7 - 17*x^6 + 8*x^5 + 20*x^4 - 8*x^3 - 14*x^2 + 5*x + 4 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0]~], [7, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 0, 2, -2, 3, 2, 2, -3, 0, -1, 2]~], [5393, [-2145, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1149, -1961, -835, -1612, 2587, 2242, 942, 2663, 2501, -1354, -1105, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3493(1,4)* 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 3*x^9 + 7*x^8 - 3*x^7 - 8*x^6 + 2*x^5 + 6*x^4 - 2*x^3 - 3*x^2 + 1 (4)
Real ramification: []
Finite ramification: [[2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0]~], [23, [28, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, 11, 11, 2, 10, 3, 7, -2, 11, 3, -6, 1]~], [2207, [-61, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-398, 500, -643, 894, 304, 1018, 53, 218, 112, -758, 60, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2100(4,3) 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 3*x^9 + 7*x^8 - 3*x^7 - 8*x^6 + 2*x^5 + 6*x^4 - 2*x^3 - 3*x^2 + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2101(-4,3)* 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 3*x^9 + 8*x^8 - 5*x^7 - 10*x^6 + 5*x^5 + 7*x^4 - 3*x^3 - 4*x^2 + x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[41, [14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -6, 6, 14, 20, -4, -18, -2, -11, 1, -15, 1]~], [367, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-147, -103, 127, 26, -143, -103, -92, 56, 83, 16, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2679(-1,3)* 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 5*x^8 + 8*x^7 + 12*x^6 - 26*x^5 - 7*x^4 + 9*x^3 - 8*x^2 + 2*x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, 1, 2, 1, -2, -2, 0, -1, 0, 1, -2]~], [103, [-20, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [22, -50, 25, 0, -26, 40, 10, -27, 23, -24, 44, -24]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s952(2,3)* 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 5*x^9 - 5*x^7 + 7*x^6 - x^5 + 5*x^4 - 3*x^3 - 2*x^2 - 2*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(3,2) 

Field minimum poly (root): x^12 - x^11 - 4*x^10 + 6*x^9 + 7*x^8 - 14*x^7 - 7*x^6 + 18*x^5 - x^4 - 12*x^3 + 5*x^2 + 2*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m137(-6,1) 

Field minimum poly (root): x^12 - x^11 - 5*x^10 + 14*x^9 - 6*x^8 - 12*x^7 + 6*x^6 + 23*x^5 - 26*x^4 + 2*x^3 + 10*x^2 - 3*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0]~], [11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, 4, -3, -3, -3, -2, -3, -3, 4, 3, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3486(-3,1) 

Field minimum poly (root): x^12 - x^11 - 5*x^10 + 4*x^9 + 11*x^8 - 5*x^7 - 21*x^6 + 7*x^5 + 23*x^4 - 3*x^3 - 12*x^2 - 2*x + 2 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2497(-1,3)* 

Field minimum poly (root): x^12 - x^11 - 5*x^10 + 5*x^9 + 4*x^8 - 4*x^7 + 4*x^6 - 8*x^5 + 8*x^4 + 7*x^3 - 8*x^2 - 2*x + 1 (9)
Real ramification: [1, 2, 3, 4, 6, 7, 8]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(-4,1)* 

Field minimum poly (root): x^12 - x^11 - 5*x^10 + 7*x^9 + 9*x^8 - 14*x^7 - 11*x^6 + 14*x^5 + 12*x^4 - 8*x^3 - 7*x^2 + x + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m137(-5,1)* 

Field minimum poly (root): x^12 - x^11 - 5*x^10 - 2*x^9 + 6*x^8 + 15*x^7 + 8*x^6 + 10*x^4 + 4*x^3 - 6*x^2 - 2*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m372(4,1)* 

Field minimum poly (root): x^12 - x^11 - 5*x^10 - x^9 + 3*x^8 - x^7 + 9*x^6 + 21*x^5 + 4*x^4 - 2*x^3 + 4*x^2 - 8*x - 16 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1]~, 5, 1, [2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0]~, 2, 1, [1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]~, 2, 1, [2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m410(-5,1)* 

Field minimum poly (root): x^12 - x^11 - 5*x^10 - x^9 + 6*x^8 + 21*x^7 + 10*x^6 - 22*x^5 - 35*x^4 - 13*x^3 + 11*x^2 + 10*x + 2 (8)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0]~], [2, [0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0]~, 1, 2, [1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0]~], [11, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -4, 2, -2, 4, -5, 0, -1, 5, 2, 3, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s958(-3,2) 

Field minimum poly (root): x^12 - x^11 - 6*x^10 + 5*x^9 + 7*x^8 - 5*x^7 + 7*x^6 - 3*x^5 - 4*x^4 + 2*x^3 - 9*x^2 + 2*x - 4 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0]~, 2, 1, [1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1]~], [2, [1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1]~, 5, 1, [2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s916(-6,1)* 

Field minimum poly (root): x^12 - x^11 - 6*x^10 + 5*x^9 + 7*x^8 - 5*x^7 + 7*x^6 - 3*x^5 - 4*x^4 + 2*x^3 - 9*x^2 + 2*x - 4 (9)
Real ramification: [2, 4, 5]
Finite ramification: [[2, [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0]~, 2, 1, [1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2346(-6,1)* 

Field minimum poly (root): x^12 - x^11 - 6*x^10 + 6*x^9 + 12*x^8 - 12*x^7 - 7*x^6 + 8*x^5 - 2*x^4 - 3*x^3 + x^2 + 5*x - 1 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m290(-4,1) 

Field minimum poly (root): x^12 - x^11 - 6*x^10 + 8*x^9 + 14*x^8 - 21*x^7 - 19*x^6 + 33*x^5 + 7*x^4 - 24*x^3 + 3*x^2 + 5*x - 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2395(1,3)* 

Field minimum poly (root): x^12 - x^11 - 7*x^10 + 14*x^9 + 3*x^8 - 26*x^7 + 5*x^6 + 24*x^5 - 2*x^4 - 14*x^3 + x^2 + 4*x - 1 (10)
Real ramification: [2, 3, 4, 5, 8]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2889(-6,1)* 

Field minimum poly (root): x^12 - x^11 - 7*x^10 + 6*x^9 + 12*x^8 - 9*x^7 + 2*x^6 + x^5 - 7*x^4 + 2*x^3 - 7*x^2 + x - 2 (9)
Real ramification: [1, 2, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 2, 1, [1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0]~], [7, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 1, -1, -1, -1, 3, 3, -1, -3, -1, 1, -3]~], [1039, [137, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [456, 385, 51, -286, -281, 40, 336, -248, 60, -371, 487, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2365(6,1)* 

Field minimum poly (root): x^12 - x^11 - 7*x^10 + 6*x^9 + 12*x^8 - 9*x^7 + 2*x^6 + x^5 - 7*x^4 + 2*x^3 - 7*x^2 + x - 2 (9)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 2, 1, [1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 5, [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s916(-5,2)* 

Field minimum poly (root): x^12 - x^11 - 7*x^10 + 6*x^9 + 12*x^8 - 9*x^7 + 2*x^6 + x^5 - 7*x^4 + 2*x^3 - 7*x^2 + x - 2 (9)
Real ramification: [2, 4, 5]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 2, 1, [1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2308(-2,3) v2346(-5,2)* 

Field minimum poly (root): x^12 - x^11 - 7*x^10 + 7*x^9 + 14*x^8 - 18*x^7 - 10*x^6 + 15*x^5 + x^4 + x^3 - 8*x^2 + 2*x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2932(3,2)* 

Field minimum poly (root): x^12 - x^11 - 8*x^10 + 7*x^9 + 26*x^8 - 17*x^7 - 41*x^6 + 14*x^5 + 31*x^4 - 3*x^3 - 13*x^2 + 2*x + 4 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0]~], [2, [2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1]~, 1, 3, [1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0]~], [3853, [-1031, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-20, -1631, 337, -19, -1338, 1412, -1342, 673, 1379, -1330, -1526, 6]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s698(-3,2) 

Field minimum poly (root): x^12 - x^11 - 9*x^10 + 9*x^9 + 26*x^8 - 30*x^7 - 28*x^6 + 42*x^5 + 4*x^4 - 22*x^3 + 10*x^2 + 3*x - 4 (10)
Real ramification: [1, 3, 4, 5, 8]
Finite ramification: [[5, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, -2, 1, -1, 2, -2, -1, 0, -2, 1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2843(-2,3) 

Field minimum poly (root): x^12 - x^11 - x^10 + 10*x^9 - 2*x^8 - 28*x^7 + 33*x^5 + x^4 - 19*x^3 + 2*x^2 + 4*x - 1 (9)
Real ramification: [1, 3, 5, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m232(-5,1)* 

Field minimum poly (root): x^12 - x^11 - x^10 + 2*x^9 - 5*x^8 + x^7 + 3*x^6 - x^5 + 2*x^4 + 4*x^3 - 5*x^2 + 2*x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3238(-1,3)* 

Field minimum poly (root): x^12 - x^11 - x^10 + 2*x^9 - 6*x^8 + 2*x^7 + 4*x^6 + 6*x^4 - 3*x^3 - 5*x^2 + x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2335(-5,1)* 

Field minimum poly (root): x^12 - x^11 - x^10 + 6*x^9 + 2*x^8 - 11*x^7 + x^6 + 12*x^5 + x^4 - 7*x^3 - 4*x^2 + x + 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[61, [-14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -5, 17, 11, 4, 7, -27, 8, -8, -18, -1, 30]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2725(-3,1)* 

Field minimum poly (root): x^12 - x^11 - x^10 + x^9 - 4*x^8 + 3*x^7 + x^6 + 5*x^4 - 3*x^3 + x^2 - x - 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 1, -1, 0, 0, 1, -1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(5,1) 

Field minimum poly (root): x^12 - x^11 - x^10 - 3*x^8 + 2*x^7 - x^6 - x^5 + 3*x^4 - x^3 + 2*x^2 - 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m019(4,3) 

Field minimum poly (root): x^12 - x^11 - x^10 - 3*x^8 + 2*x^7 - x^6 - x^5 + 3*x^4 - x^3 + 2*x^2 - 1 (8)
Real ramification: [2, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s814(-3,4) 

Field minimum poly (root): x^12 - x^11 - x^10 - x^9 + 3*x^7 - 2*x^6 + 5*x^5 + x^4 - 5*x^3 + 2*x^2 - 2*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2051(1,3) 

Field minimum poly (root): x^12 - x^9 - 4*x^8 - x^6 + 2*x^5 + 4*x^4 + x^3 + x^2 - x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m269(-3,4)* 

Field minimum poly (root): x^13 - 2*x^11 - 2*x^10 + x^9 + 4*x^8 - x^7 - 3*x^6 + 3*x^2 + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0]~], [2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2592(-4,1) 

Field minimum poly (root): x^13 - 2*x^11 - x^10 + 6*x^9 + 5*x^8 - x^7 - 15*x^6 + 8*x^5 + x^4 + 10*x^3 - 15*x^2 + 1 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 6, [1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s702(2,3)* 

Field minimum poly (root): x^13 - 2*x^12 + 2*x^11 - 4*x^10 + 3*x^9 - 3*x^8 + 6*x^7 - 4*x^6 + 6*x^5 - x^4 + 6*x^3 + 3*x^2 + 2*x + 1 (6)
Real ramification: [1]
Finite ramification: [[3, [1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 3, 3, 2, 3, 1, 1, 2, 3, 1, 1, 2, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3189(-3,1)* 

Field minimum poly (root): x^13 - 2*x^12 + 3*x^11 - 7*x^10 + 7*x^9 - 4*x^8 + x^7 + 8*x^6 - 20*x^5 + 22*x^4 - 23*x^3 + 18*x^2 - 7*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s704(4,1) 

Field minimum poly (root): x^13 - 2*x^12 + 5*x^11 - 8*x^10 + 10*x^9 - 12*x^8 + 7*x^7 - 5*x^6 - 3*x^5 + 4*x^4 - 3*x^3 + 2*x^2 + 4*x + 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[29, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -12, -3, 0, -5, 12, 14, -13, 6, -5, 11, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s148(-5,1) 

Field minimum poly (root): x^13 - 2*x^12 + 7*x^10 - 11*x^9 + x^8 + 17*x^7 - 18*x^6 - 4*x^5 + 18*x^4 - 3*x^3 - 7*x^2 + x + 1 (8)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s648(6,1) 

Field minimum poly (root): x^13 - 2*x^12 + x^11 + 2*x^10 + 2*x^9 - 8*x^8 + 5*x^7 + 10*x^6 - 10*x^5 - x^4 + 4*x^3 + 4*x^2 - 3*x - 1 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0]~, 4, 1, [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1]~], [2, [1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0]~, 1, 9, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~], [919, [-217, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-449, 387, 294, -116, 177, -436, -123, 242, -308, -55, -129, -299, 446]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s746(4,1) 

Field minimum poly (root): x^13 - 2*x^12 + x^11 + 2*x^10 - 13*x^9 + 16*x^8 - 5*x^7 - 16*x^6 + 34*x^5 - 23*x^4 + 5*x^3 + 4*x^2 - 4*x + 1 (8)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0]~], [2551, [272, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1068, -661, -359, -1259, -798, 1088, -1042, 351, -387, 897, 546, -275, 307]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s573(-4,3) 

Field minimum poly (root): x^13 - 2*x^12 + x^11 + 6*x^10 - 15*x^9 + 20*x^8 - 5*x^7 - 25*x^6 + 50*x^5 - 49*x^4 + 35*x^3 - 20*x^2 + 7*x - 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3132(-1,3)* 

Field minimum poly (root): x^13 - 2*x^12 - 2*x^11 + 8*x^10 - 3*x^9 - 11*x^8 + 20*x^7 - 12*x^6 - 14*x^5 + 26*x^4 - 6*x^3 - 12*x^2 + 4*x + 2 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[67, [-22, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [15, 20, -27, 3, -27, -20, 27, -2, 17, 21, 27, -6, 5]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s855(1,3) 

Field minimum poly (root): x^13 - 2*x^12 - 2*x^11 + 9*x^10 - 10*x^9 - 2*x^8 + 19*x^7 - 20*x^6 + 5*x^5 + 4*x^4 - x^3 - 8*x^2 + 8*x - 2 (8)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2517(3,1) 

Field minimum poly (root): x^13 - 2*x^12 - 2*x^11 + 9*x^10 - 10*x^9 - 2*x^8 + 19*x^7 - 20*x^6 + 5*x^5 + 4*x^4 - x^3 - 8*x^2 + 8*x - 2 (8)
Real ramification: [2, 3]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2384(-4,1) 

Field minimum poly (root): x^13 - 2*x^12 - 3*x^11 + 11*x^10 - 4*x^9 - 14*x^8 + 21*x^7 - 10*x^6 - 10*x^5 + 17*x^4 - x^2 - x - 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1]~, 2, 1, [2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0]~], [2, [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1]~, 2, 1, [1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 3, [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -4, -1, 2, -4, 6, -6, 2, -2, -5, -3, 2, -2]~], [41, [12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, 5, 5, -5, -19, -7, 0, 5, 12, -16, -4, -10, -13]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s905(-3,1)* 

Field minimum poly (root): x^13 - 2*x^12 - 3*x^11 + 14*x^10 - 12*x^9 - 22*x^8 + 49*x^7 - 8*x^6 - 43*x^5 + 22*x^4 + 15*x^3 - 9*x^2 - 2*x + 1 (9)
Real ramification: [1, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s256(5,3) 

Field minimum poly (root): x^13 - 2*x^12 - 3*x^11 + 7*x^10 + 6*x^9 - 19*x^8 - 2*x^7 + 24*x^6 + 6*x^5 - 24*x^4 - x^3 + 9*x^2 - 1 (9)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2334(-1,3) 

Field minimum poly (root): x^13 - 2*x^12 - 3*x^11 + 8*x^10 - 2*x^9 - 7*x^8 + 6*x^7 + 2*x^6 - 2*x^5 - 5*x^4 + 9*x^3 - 5*x + 1 (10)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s244(-4,3)* 

Field minimum poly (root): x^13 - 2*x^12 - 4*x^11 + 10*x^10 + 2*x^9 - 17*x^8 + 6*x^7 + 18*x^6 - 5*x^5 - 20*x^4 + 3*x^3 + 7*x^2 - 1 (10)
Real ramification: [1, 2, 5]
Finite ramification: [[19, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, -2, -3, -2, 6, -9, -9, -5, 4, 7, -1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2903(-4,1) 

Field minimum poly (root): x^13 - 2*x^12 - 4*x^11 + 10*x^10 + 7*x^9 - 19*x^8 - 12*x^7 + 27*x^6 + 14*x^5 - 26*x^4 - 7*x^3 + 10*x^2 + x - 1 (9)
Real ramification: [1, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m345(6,1) 

Field minimum poly (root): x^13 - 2*x^12 - 4*x^11 + 16*x^10 - 3*x^9 - 49*x^8 + 36*x^7 + 71*x^6 - 62*x^5 - 46*x^4 + 40*x^3 + 8*x^2 - 8*x + 1 (10)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[29, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 11, 8, -8, -5, 7, 13, -13, 9, 3, 4, 2, 1]~], [139, [29, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [24, 66, -2, 35, 2, -7, 65, -1, -40, 54, 61, -31, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3128(2,3) 

Field minimum poly (root): x^13 - 2*x^12 - 4*x^11 + 9*x^10 + 5*x^9 - 13*x^8 - 14*x^7 + 24*x^6 + 25*x^5 - 42*x^4 - 3*x^3 + 16*x^2 - 2*x - 1 (10)
Real ramification: [1, 3, 4, 5, 6, 8, 9]
Finite ramification: [[17, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, -3, 6, -6, 2, -8, 5, -1, -6, 0, -3, -8, -5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m249(5,1) 

Field minimum poly (root): x^13 - 2*x^12 - 5*x^11 + 11*x^10 + 11*x^9 - 23*x^8 - 17*x^7 + 25*x^6 + 17*x^5 - 16*x^4 - 10*x^3 + 5*x^2 + 3*x - 1 (6)
Real ramification: [1, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m392(-3,4)* 

Field minimum poly (root): x^13 - 2*x^12 - 5*x^11 + 11*x^10 + 9*x^9 - 24*x^8 - 9*x^7 + 32*x^6 + 2*x^5 - 24*x^4 + 3*x^3 + 9*x^2 - x - 1 (8)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s932(-1,3) 

Field minimum poly (root): x^13 - 2*x^12 - 5*x^11 + 13*x^10 + 11*x^9 - 35*x^8 - 30*x^7 + 42*x^6 + 75*x^5 - 78*x^3 - 39*x^2 + 12*x + 8 (7)
Real ramification: [3, 4, 5]
Finite ramification: [[2, [0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1]~, 2, 1, [1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2460(-4,1)* 

Field minimum poly (root): x^13 - 2*x^12 - 5*x^11 + 16*x^10 + x^9 - 45*x^8 + 29*x^7 + 53*x^6 - 57*x^5 - 24*x^4 + 41*x^3 + x^2 - 11*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s755(-2,3) 

Field minimum poly (root): x^13 - 2*x^12 - 6*x^11 + 11*x^10 + 11*x^9 - 21*x^8 - 4*x^7 + 20*x^6 - 6*x^5 - 16*x^4 + 5*x^3 + 9*x^2 - x - 2 (10)
Real ramification: [1, 2, 3, 4, 6, 7, 8]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3157(4,1)* 

Field minimum poly (root): x^13 - 2*x^12 - 6*x^11 + 12*x^10 + 13*x^9 - 27*x^8 - 11*x^7 + 32*x^6 - 4*x^5 - 20*x^4 + 11*x^3 + 4*x^2 - 5*x + 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s932(2,3) 

Field minimum poly (root): x^13 - 2*x^12 - 6*x^11 + 17*x^10 + 5*x^9 - 50*x^8 + 30*x^7 + 56*x^6 - 70*x^5 - 13*x^4 + 49*x^3 - 9*x^2 - 9*x - 1 (9)
Real ramification: [1, 3, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 3, [1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2846(-2,3)* 

Field minimum poly (root): x^13 - 2*x^12 - 6*x^11 + 17*x^10 + 5*x^9 - 50*x^8 + 30*x^7 + 56*x^6 - 70*x^5 - 13*x^4 + 49*x^3 - 9*x^2 - 9*x - 1 (9)
Real ramification: [2, 3, 5, 6, 7]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2302(3,2)* 

Field minimum poly (root): x^13 - 2*x^12 - 7*x^11 + 13*x^10 + 21*x^9 - 31*x^8 - 39*x^7 + 34*x^6 + 45*x^5 - 12*x^4 - 26*x^3 - 3*x^2 + 4*x + 1 (9)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: [[13, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 1, 2, 1, 0, -3, 1, -6, 6, -1, 6, 0, 1]~], [17, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, 6, -6, -2, -1, 8, 6, 4, 5, 5, -6, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m210(5,1) 

Field minimum poly (root): x^13 - 2*x^12 - 7*x^11 + 13*x^10 + 24*x^9 - 32*x^8 - 54*x^7 + 34*x^6 + 76*x^5 - 3*x^4 - 55*x^3 - 20*x^2 + 12*x + 8 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]~, 2, 2, [2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(6,1) 

Field minimum poly (root): x^13 - 2*x^12 - x^11 + 2*x^10 - x^9 + 4*x^8 - x^7 - 3*x^6 + 5*x^5 - 5*x^3 + 3*x - 1 (10)
Real ramification: [1, 2, 3, 4, 5, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m069(4,1)* 

Field minimum poly (root): x^13 - 2*x^12 - x^11 + 2*x^10 - x^9 + 4*x^8 - x^7 - 3*x^6 + 5*x^5 - 5*x^3 + 3*x - 1 (10)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m069(-1,3) 

Field minimum poly (root): x^13 - 2*x^12 - x^11 + x^10 + 8*x^8 - 6*x^7 - 7*x^6 + 12*x^5 - 8*x^3 + x^2 + 3*x - 1 (10)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3520(-5,1) 

Field minimum poly (root): x^13 - 2*x^12 - x^11 + x^10 + 8*x^8 - 6*x^7 - 7*x^6 + 12*x^5 - 8*x^3 + x^2 + 3*x - 1 (10)
Real ramification: [1, 4, 5, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3519(5,1)* 

Field minimum poly (root): x^13 - 3*x^10 - 6*x^9 - 2*x^7 + 6*x^6 + 3*x^5 + 3*x^4 + 7*x^3 + 2*x^2 + 3*x - 1 (6)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3121(1,4) 

Field minimum poly (root): x^13 - 3*x^11 + 3*x^9 - x^8 - 4*x^7 + 2*x^6 + 3*x^5 + 2*x^4 + 5*x^3 - 3*x^2 - 5*x - 1 (8)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2619(-4,1)* 

Field minimum poly (root): x^13 - 3*x^11 - 3*x^10 - 7*x^9 + x^8 + 9*x^7 + x^6 + 4*x^5 - 9*x^3 + 3*x^2 + 2*x - 1 (9)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s493(5,1)* 

Field minimum poly (root): x^13 - 3*x^11 - x^10 + 4*x^9 + 3*x^8 - 5*x^7 - 7*x^6 + 4*x^5 + 11*x^4 - x^3 - 6*x^2 + 1 (8)
Real ramification: [2, 3, 5, 7]
Finite ramification: [[5, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 1, 1, 1, 0, -2, 0, 0, 1, 1, 1, 2, 1]~], [233, [-89, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [89, 1, 76, -96, -30, -3, 110, 17, -81, 109, -4, 89, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m179(-1,4) 

Field minimum poly (root): x^13 - 3*x^11 - x^10 + 4*x^9 + 3*x^8 - 5*x^7 - 7*x^6 + 4*x^5 + 11*x^4 - x^3 - 6*x^2 + 1 (8)
Real ramification: [1, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m178(-1,4) 

Field minimum poly (root): x^13 - 3*x^12 + 3*x^11 + 5*x^10 - 13*x^9 + 8*x^8 + 17*x^7 - 47*x^6 + 45*x^5 + 24*x^4 - 91*x^3 + 29*x^2 + 38*x - 17 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[13, [-6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -2, 2, -3, -2, 2, -1, -4, 0, 1, 5, -3, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2911(7,1)* 

Field minimum poly (root): x^13 - 3*x^12 + 3*x^11 - 2*x^8 + 2*x^7 - 5*x^5 + 5*x^4 - 4*x^2 + x + 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, 2, -2, 2, -2, -1, 0, -2, 2, -2, 2, 2]~], [61, [29, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, -27, -30, -23, 8, -18, 12, 5, -29, 13, -29, -26, -24]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3387(1,4)* 

Field minimum poly (root): x^13 - 3*x^12 + 4*x^11 - 2*x^10 - x^9 + 11*x^8 - 25*x^7 + 25*x^6 + 8*x^5 - 30*x^4 + 2*x^3 + 19*x^2 + 8*x + 1 (5)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2721(-6,1) 

Field minimum poly (root): x^13 - 3*x^12 + 4*x^11 - 7*x^10 - 4*x^9 + 11*x^8 - 32*x^7 + 46*x^6 - 51*x^5 + 50*x^4 - 36*x^3 + 20*x^2 - 7*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[3, [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 1, 1, [2, 1, 1, 3, 3, 1, 3, 3, 2, 1, 3, 1, 0]~], [7, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 2, -1, 3, 3, -2, 3, 1, -1, -2, 0, 1, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3511(3,1) 

Field minimum poly (root): x^13 - 3*x^12 + 5*x^11 - 10*x^10 + 10*x^9 - 15*x^8 + 10*x^7 - 9*x^6 + 7*x^5 + 7*x^4 + 10*x^3 + 15*x^2 + 7*x + 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0]~], [3, [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [1, 1, 2, 2, 2, 3, 2, 3, 1, 3, 2, 3, 2]~], [3, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 4, 1, [1, 3, 2, 2, 3, 2, 1, 1, 1, 2, 2, 1, 0]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -3, -2, -5, 4, -1, -6, 4, 0, -5, -2, 0, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3490(5,1) v3492(5,1) 

Field minimum poly (root): x^13 - 3*x^12 + 6*x^11 - 6*x^10 - 7*x^9 + 27*x^8 - 45*x^7 + 44*x^6 - 9*x^5 - 18*x^4 + 26*x^3 - 26*x^2 + 10*x - 1 (9)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, -2, 0, 3, 2, 0, -1, -1, -1, 3, 0, -1]~], [83, [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [17, 26, 73, 40, 53, 28, 48, 81, 24, 45, 14, 63, 64]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1189(1,3) 

Field minimum poly (root): x^13 - 3*x^12 + 6*x^11 - 9*x^10 + 6*x^9 - 2*x^7 + 3*x^6 + 3*x^5 - 9*x^4 - 5*x^3 + 12*x^2 + 4*x - 8 (6)
Real ramification: []
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 6, [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0]~], [3, [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [3, 2, 3, 3, 1, 2, 2, 3, 1, 1, 3, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3504(4,1)* 

Field minimum poly (root): x^13 - 3*x^12 + 7*x^10 - 8*x^9 + 8*x^8 - 7*x^7 - 2*x^6 + 7*x^5 - 4*x^4 + 2*x^3 - x^2 - 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m395(-4,1) 

Field minimum poly (root): x^13 - 3*x^12 + 8*x^10 - 10*x^9 + 7*x^8 - 4*x^7 - 6*x^6 + 13*x^5 - 2*x^4 + x^3 - 4*x^2 - x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2851, [-484, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-397, 121, -1392, 1034, 894, -1199, 1016, 476, -450, -831, -67, 156, -469]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3359(4,1)* 

Field minimum poly (root): x^13 - 3*x^12 + 8*x^11 - 18*x^10 + 30*x^9 - 54*x^8 + 76*x^7 - 96*x^6 + 106*x^5 - 90*x^4 + 65*x^3 - 35*x^2 + 10*x - 1 (9)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s451(6,1)* 

Field minimum poly (root): x^13 - 3*x^12 + x^11 + 2*x^10 + 2*x^9 - 7*x^8 + 7*x^7 - 5*x^6 + 13*x^5 - 13*x^4 + 8*x^3 - x^2 - 2*x + 2 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3458(2,3)* 

Field minimum poly (root): x^13 - 3*x^12 - 2*x^11 + 18*x^10 - 14*x^9 - 37*x^8 + 62*x^7 + 10*x^6 - 79*x^5 + 32*x^4 + 27*x^3 - 16*x^2 - x + 1 (10)
Real ramification: [1, 2, 3, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3107(-1,3)* 

Field minimum poly (root): x^13 - 3*x^12 - 2*x^11 + 18*x^10 - 14*x^9 - 37*x^8 + 62*x^7 + 10*x^6 - 79*x^5 + 32*x^4 + 27*x^3 - 16*x^2 - x + 1 (10)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3109(1,3) 

Field minimum poly (root): x^13 - 3*x^12 - 3*x^11 + 14*x^10 + 2*x^9 - 20*x^8 - 12*x^7 + 16*x^6 + 27*x^5 - 9*x^4 - 13*x^3 - 11*x^2 + 9*x + 1 (9)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2417(-4,1) 

Field minimum poly (root): x^13 - 3*x^12 - 3*x^11 + 20*x^10 - 12*x^9 - 39*x^8 + 56*x^7 + 16*x^6 - 60*x^5 - 4*x^4 + 40*x^3 - 32*x + 16 (6)
Real ramification: [2, 3]
Finite ramification: [[23, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, -11, 3, 3, -11, 2, -7, -9, 7, 10, 5, 9]~], [349, [-22, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-110, -168, -61, -153, -50, 132, -2, -162, -20, -5, -47, -92, -121]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3444(-6,1)* 

Field minimum poly (root): x^13 - 3*x^12 - 5*x^11 + 19*x^10 + 11*x^9 - 49*x^8 - 19*x^7 + 67*x^6 + 29*x^5 - 48*x^4 - 25*x^3 + 14*x^2 + 8*x - 1 (6)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 2, -1, 1, 2, 1, -2, 2, -1, -2, -2, 2]~], [19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 1, 2, -5, -7, 2, 4, -7, 3, 4, -7, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3453(-2,3)* 

Field minimum poly (root): x^13 - 3*x^12 - 5*x^11 + 20*x^10 + 4*x^9 - 39*x^8 - 3*x^7 + 30*x^6 + 19*x^5 - 27*x^4 + 24*x^3 - 36*x^2 + 12*x + 4 (8)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3293(-4,1) 

Field minimum poly (root): x^13 - 3*x^12 - 5*x^11 + 21*x^10 + 5*x^9 - 52*x^8 + 2*x^7 + 60*x^6 + 8*x^5 - 39*x^4 - 20*x^3 + 13*x^2 + 9*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[11, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -2, -2, -2, 2, -3, -4, -3, -3, -4, 4, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2388(-4,1) 

Field minimum poly (root): x^13 - 3*x^12 - 5*x^11 + 24*x^10 - 11*x^9 - 43*x^8 + 49*x^7 + 18*x^6 - 42*x^5 + 6*x^4 + 9*x^3 - x^2 - 1 (10)
Real ramification: [3, 4, 5, 6, 7]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0]~, 1, 9, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s862(5,1) 

Field minimum poly (root): x^13 - 3*x^12 - 6*x^11 + 19*x^10 + 11*x^9 - 47*x^8 - x^7 + 58*x^6 - 15*x^5 - 36*x^4 + 11*x^3 + 10*x^2 - 2*x - 1 (10)
Real ramification: [1, 3, 5, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v1814(-4,1)* 

Field minimum poly (root): x^13 - 3*x^12 - 6*x^11 + 23*x^10 + 10*x^9 - 64*x^8 - 4*x^7 + 83*x^6 + 6*x^5 - 56*x^4 - 10*x^3 + 14*x^2 + 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0]~, 1, 9, [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~], [19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, -5, -9, 1, -9, -7, 1, 3, 4, 7, -7, -2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m262(2,3) 

Field minimum poly (root): x^13 - 3*x^12 - 6*x^11 + 23*x^10 + 10*x^9 - 68*x^8 + 5*x^7 + 100*x^6 - 34*x^5 - 75*x^4 + 38*x^3 + 22*x^2 - 16*x + 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 2, 2, [1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m235(1,3)* 

Field minimum poly (root): x^13 - 3*x^12 - 6*x^11 + 23*x^10 + 7*x^9 - 60*x^8 + 16*x^7 + 60*x^6 - 37*x^5 - 16*x^4 + 21*x^3 - 3*x^2 - 3*x + 1 (10)
Real ramification: [1, 2, 3, 4, 5, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s899(-4,1) 

Field minimum poly (root): x^13 - 3*x^12 - 7*x^11 + 26*x^10 + 14*x^9 - 84*x^8 + x^7 + 128*x^6 - 31*x^5 - 97*x^4 + 33*x^3 + 31*x^2 - 10*x - 1 (10)
Real ramification: [3, 5, 6, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3410(4,1)* 

Field minimum poly (root): x^13 - 3*x^12 - x^11 + 10*x^10 - 4*x^9 - 11*x^8 + 9*x^7 - 5*x^6 + 5*x^5 + 10*x^4 - 15*x^3 - 2*x^2 + 6*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[29, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -3, 6, -6, 12, 0, -10, 13, -9, -6, -11, 4, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s832(-3,1) 

Field minimum poly (root): x^13 - 3*x^12 - x^11 + 11*x^10 - 6*x^9 - 17*x^8 + 20*x^7 + 8*x^6 - 21*x^5 + 4*x^4 + 10*x^3 - 5*x^2 - 3*x + 1 (9)
Real ramification: [1, 3]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [2, 0, 0, 0, -2, 2, 2, 1, -1, 0, 2, -1, 1]~], [13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 1, -5, -5, 6, -4, 4, 3, 5, 1, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2920(-6,1)* 

Field minimum poly (root): x^13 - 3*x^12 - x^11 + 8*x^10 + x^9 - 13*x^8 - 2*x^7 + 22*x^6 + 2*x^5 - 22*x^4 - 8*x^3 + 11*x^2 + 6*x - 3 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 2, [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -2, 2, 2, -2, 2, -1, 0, 2, 1, 1, -2, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s493(1,3)* 

Field minimum poly (root): x^13 - 3*x^12 - x^11 + 9*x^10 + x^9 - 16*x^8 - x^7 + 18*x^6 + x^5 - 14*x^4 - 2*x^3 + 6*x^2 + x - 1 (7)
Real ramification: [2]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -2, 3, -1, 3, 1, 2, -2, 0, 3, -3, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2750(1,3)* 

Field minimum poly (root): x^13 - 3*x^8 - 4*x^7 + 11*x^6 - x^5 - 15*x^4 - x^3 + 8*x^2 + 5*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2802(-2,3)* 

Field minimum poly (root): x^13 - 4*x^11 - 2*x^10 + 6*x^9 + 8*x^8 - 4*x^7 - 11*x^6 + 3*x^5 + 5*x^4 - 6*x^3 + 4*x + 1 (6)
Real ramification: [2, 4, 5]
Finite ramification: [[17, [8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 5, -7, -2, 3, 0, 5, 1, 3, -6, -8, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2861(-4,1) v2862(-1,3) 

Field minimum poly (root): x^13 - 4*x^12 + 11*x^11 - 16*x^10 + 14*x^9 + 6*x^8 - 25*x^7 + 32*x^6 - 17*x^5 - 17*x^4 + 20*x^3 - x^2 - 4*x + 1 (8)
Real ramification: [1, 2, 3, 6, 7]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1]~, 1, 2, [2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3529(-3,2) 

Field minimum poly (root): x^13 - 4*x^12 + 17*x^10 - 8*x^9 - 31*x^8 + 6*x^7 + 41*x^6 + 3*x^5 - 29*x^4 - 6*x^3 + 14*x^2 - 4*x - 8 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0]~, 2, 1, [2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -4, 6, -6, 2, 2, 4, 6, 0, 3, 2, -3, 4]~], [41, [-8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-15, 19, -8, -13, 20, -8, -8, -2, -11, 11, -13, -8, -16]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2636(-2,3) 

Field minimum poly (root): x^13 - 4*x^12 + 18*x^10 - 10*x^9 - 38*x^8 + 21*x^7 + 51*x^6 - 25*x^5 - 39*x^4 + 22*x^3 + 15*x^2 - 8*x - 3 (8)
Real ramification: [1, 3, 4, 5, 6]
Finite ramification: [[271, [-68, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [29, -129, 33, 104, 104, 9, -2, -72, 98, 28, 131, -16, 5]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3185(-4,1) 

Field minimum poly (root): x^13 - 4*x^12 + 19*x^10 - 24*x^9 - 8*x^8 + 45*x^7 - 56*x^6 + 8*x^5 + 66*x^4 - 44*x^3 - 18*x^2 + 11*x + 3 (9)
Real ramification: [1, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3062(-4,1) 

Field minimum poly (root): x^13 - 4*x^12 + 2*x^11 + 9*x^10 - 7*x^9 - 14*x^8 + 9*x^7 + 21*x^6 - 2*x^5 - 21*x^4 - 11*x^3 + 5*x^2 + 9*x + 4 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s529(-5,1)* 

Field minimum poly (root): x^13 - 4*x^12 + 4*x^11 + 13*x^10 - 30*x^9 - 5*x^8 + 67*x^7 - 23*x^6 - 69*x^5 + 47*x^4 + 19*x^3 - 27*x^2 + 9*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2245(-5,1) 

Field minimum poly (root): x^13 - 4*x^12 + 5*x^11 - 4*x^10 + 4*x^9 + 7*x^8 - 26*x^7 + 23*x^6 + 6*x^5 - 20*x^4 + 7*x^3 + 6*x^2 - 5*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[17, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 5, 0, 7, 3, -2, -6, -2, 5, -1, -4, -8, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3427(4,3)* 

Field minimum poly (root): x^13 - 4*x^12 + 5*x^11 - 4*x^10 + 7*x^9 - 5*x^8 - 8*x^7 + 19*x^6 - 13*x^5 - 8*x^4 + 24*x^3 - 26*x^2 + 15*x - 4 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1]~], [13, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 3, -3, 4, -1, -5, -4, 3, -4, -1, -4, 1, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2756(-4,1)* 

Field minimum poly (root): x^13 - 4*x^12 + 5*x^11 - 7*x^10 + 19*x^9 - 15*x^8 - 7*x^7 - 7*x^6 + 17*x^5 + 17*x^4 - 17*x^3 - 7*x^2 + 3*x + 1 (8)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3423(-4,1) 

Field minimum poly (root): x^13 - 4*x^12 + 7*x^11 - 11*x^10 + 12*x^9 - 7*x^7 + 12*x^6 - 21*x^5 + x^4 + x^3 + 7*x^2 + 6*x + 1 (9)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s783(-3,1)* 

Field minimum poly (root): x^13 - 4*x^12 + 7*x^11 - 6*x^10 - 3*x^9 + 20*x^8 - 45*x^7 + 78*x^6 - 100*x^5 + 89*x^4 - 51*x^3 + 11*x^2 + 3*x - 1 (8)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 6, [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0]~], [5, [0, -1, 1, 0, 2, -1, 0, 1, -2, 0, 1, 2, -1]~, 2, 1, [4, 1, 4, 2, 1, 1, 4, 4, 1, 5, 3, 3, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s455(2,3)* 

Field minimum poly (root): x^13 - 4*x^12 + 8*x^11 - 11*x^10 + 13*x^9 - 16*x^8 + 16*x^7 - 16*x^6 + 13*x^5 - 9*x^4 + 7*x^3 - 6*x^2 + 4*x - 1 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0]~], [3, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 0, 1, -1, 1, 0, 0, -1, 0, -1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2971(-3,2) 

Field minimum poly (root): x^13 - 4*x^12 + 8*x^11 - 6*x^10 - 11*x^9 + 37*x^8 - 54*x^7 + 45*x^6 - 19*x^5 + 8*x^4 - 9*x^2 + 6*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[167, [-24, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [48, -83, -7, -62, 10, 25, -83, 1, -80, -53, 67, 33, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3457(1,3)* 

Field minimum poly (root): x^13 - 4*x^12 + 9*x^11 - 12*x^10 + 15*x^9 - 18*x^8 + 24*x^7 - 17*x^6 + 18*x^5 - 53*x^4 + 67*x^3 - 38*x^2 + 10*x - 1 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -2, 2, -2, 3, 2, -1, -1, 2, 2, 0, 1, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2231(5,2) 

Field minimum poly (root): x^13 - 4*x^12 + x^11 + 15*x^10 - 13*x^9 - 29*x^8 + 37*x^7 + 27*x^6 - 45*x^5 - 11*x^4 + 24*x^3 - 5*x + 1 (8)
Real ramification: [1, 3]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0]~], [113, [-11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [41, 35, 34, 42, -26, 12, 50, 32, -15, -31, -35, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2889(6,1)* 

Field minimum poly (root): x^13 - 4*x^12 - 2*x^11 + 23*x^10 - 6*x^9 - 56*x^8 + 23*x^7 + 77*x^6 - 36*x^5 - 54*x^4 + 31*x^3 + 8*x^2 - 7*x + 1 (10)
Real ramification: [3, 4, 5, 6, 7]
Finite ramification: [[3, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 0, -1, 0, 1, -1, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2500(-1,3)* 

Field minimum poly (root): x^13 - 4*x^12 - 2*x^11 + 23*x^10 - 8*x^9 - 51*x^8 + 34*x^7 + 48*x^6 - 52*x^5 - 9*x^4 + 45*x^3 - 16*x^2 - 18*x + 10 (8)
Real ramification: [3, 4, 5, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1]~], [2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v0984(-5,1) 

Field minimum poly (root): x^13 - 4*x^12 - 2*x^11 + 24*x^10 - 16*x^9 - 38*x^8 + 50*x^7 - 39*x^5 + 30*x^4 + 2*x^3 - 11*x^2 + 5*x - 1 (11)
Real ramification: [1, 2, 3, 4, 6, 7, 8]
Finite ramification: [[19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 3, 1, -6, 9, 8, -1, -4, -6, -5, 1, -6, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m260(-1,2)* 

Field minimum poly (root): x^13 - 4*x^12 - 3*x^11 + 26*x^10 - 4*x^9 - 64*x^8 + 20*x^7 + 80*x^6 - 41*x^5 - 29*x^4 + 39*x^3 - 20*x^2 + 4*x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3103(3,2) 

Field minimum poly (root): x^13 - 4*x^12 - 3*x^11 + 27*x^10 - 8*x^9 - 64*x^8 + 35*x^7 + 66*x^6 - 40*x^5 - 24*x^4 + 20*x^3 - 9*x^2 + 2*x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0]~], [2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 6, [1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m261(-5,2)* 

Field minimum poly (root): x^13 - 4*x^12 - 3*x^11 + 28*x^10 - 10*x^9 - 70*x^8 + 37*x^7 + 96*x^6 - 34*x^5 - 82*x^4 + 4*x^3 + 32*x^2 + 6*x - 2 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 7, 1, [0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3102(2,3) 

Field minimum poly (root): x^13 - 4*x^12 - x^11 + 19*x^10 - 11*x^9 - 20*x^8 + 7*x^7 - 11*x^6 + 48*x^5 + 12*x^4 - 59*x^3 + 7*x^2 + 9*x + 1 (11)
Real ramification: [1, 2, 3, 4, 6, 8]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1]~], [41, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [20, -15, -11, -17, 6, 20, -5, -6, 7, 9, -5, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s580(-1,3) 

Field minimum poly (root): x^13 - 4*x^12 - x^11 + 20*x^10 - 9*x^9 - 36*x^8 + 12*x^7 + 37*x^6 + x^5 - 19*x^4 - 6*x^3 + x^2 + x + 1 (8)
Real ramification: [1, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s527(-1,3) 

Field minimum poly (root): x^13 - 5*x^11 - 2*x^10 + 8*x^9 + 7*x^8 - 7*x^7 - 9*x^6 + 6*x^5 + 10*x^4 - 3*x^3 - 7*x^2 - x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[379, [124, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-94, 123, 2, 71, -65, 132, 115, 67, -28, 108, -44, 131, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s313(3,2)* 

Field minimum poly (root): x^13 - 5*x^11 - 3*x^10 + 13*x^9 + 11*x^8 - 19*x^7 - 13*x^6 + 17*x^5 + 7*x^4 - 12*x^3 - 6*x^2 + 4*x + 4 (6)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2530(4,1) 

Field minimum poly (root): x^13 - 5*x^11 - x^10 + 9*x^9 + 2*x^8 - 8*x^7 - x^6 + 6*x^5 + x^4 - 2*x^3 + x^2 - x - 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2157(-1,3) 

Field minimum poly (root): x^13 - 5*x^12 + 10*x^11 - 4*x^10 - 11*x^9 + 8*x^8 + 11*x^7 - 11*x^6 - 4*x^5 + 5*x^4 + 6*x^3 - 2*x^2 - 4*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[17, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1]~, 2, 1, [13, 15, 6, 3, 10, 17, 8, 5, 9, 1, 11, 9, 4]~], [167, [69, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-55, 57, 69, 43, -46, -4, 47, -65, -50, -76, 4, 78, 17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3510(1,3)* 

Field minimum poly (root): x^13 - 5*x^12 + 10*x^11 - 8*x^10 - 4*x^9 + 17*x^8 - 18*x^7 + 2*x^6 + 12*x^5 - 4*x^4 - 7*x^3 - x^2 + 3*x + 1 (8)
Real ramification: [2, 4, 5]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, 0, -1, -1, 2, 0, 1, -2, 0, -1, 0, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1268(5,1)* 

Field minimum poly (root): x^13 - 5*x^12 + 2*x^11 + 25*x^10 - 30*x^9 - 42*x^8 + 64*x^7 + 40*x^6 - 54*x^5 - 32*x^4 + 16*x^3 + 10*x^2 + 18*x - 11 (9)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1]~], [13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 0, -1, -3, -1, 4, -1, 0, -1, -1, 0, 5, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3107(5,1)* 

Field minimum poly (root): x^13 - 5*x^12 + 2*x^11 + 25*x^10 - 30*x^9 - 42*x^8 + 64*x^7 + 40*x^6 - 54*x^5 - 32*x^4 + 16*x^3 + 10*x^2 + 18*x - 11 (9)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[67, [-14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 8, 19, 5, 17, 29, 4, -33, 15, 8, -6, 9, 1]~], [101, [-31, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-42, -28, -11, 48, -30, -9, 31, 25, 38, 25, 0, 26, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3109(-5,1) 

Field minimum poly (root): x^13 - 5*x^12 + 5*x^11 + 12*x^10 - 26*x^9 + 2*x^8 + 30*x^7 - 15*x^6 - 13*x^5 + 6*x^4 + 3*x^3 - 4*x^2 - 4*x - 1 (10)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: [[3, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, 0, 0, 0, 1, 1, 1, -1, 1, 1, -1, 1]~], [29, [-11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, 9, -12, -4, 7, -14, 8, -2, -3, 10, 13, 6, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m190(5,3)* 

Field minimum poly (root): x^13 - 5*x^12 + 5*x^11 + 13*x^10 - 26*x^9 - 7*x^8 + 40*x^7 - 10*x^6 - 22*x^5 + 9*x^4 + 2*x - 1 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[349, [-23, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-91, 87, 110, 111, 141, 174, 8, 120, -40, -122, 70, 18, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3080(6,1) 

Field minimum poly (root): x^13 - 5*x^12 + 6*x^11 + 9*x^10 - 27*x^9 + 12*x^8 + 26*x^7 - 33*x^6 + 4*x^5 + 17*x^4 - 12*x^3 + x^2 + 3*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[929, [226, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-37, -378, 88, 16, 37, -292, 293, 340, -59, 255, 188, -231, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3080(1,3) 

Field minimum poly (root): x^13 - 5*x^12 + 7*x^11 + 8*x^10 - 34*x^9 + 28*x^8 + 18*x^7 - 43*x^6 + 17*x^5 + 6*x^4 - 6*x^2 + 1 (7)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3165(4,1)* 

Field minimum poly (root): x^13 - 5*x^12 + 8*x^11 + 3*x^10 - 29*x^9 + 38*x^8 + 2*x^7 - 59*x^6 + 55*x^5 + 8*x^4 - 41*x^3 + 17*x^2 + 4*x - 3 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 0, 1, -1, -1, 1, -1, -1, -1]~], [31, [10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, 4, 1, 7, 0, 13, -1, -10, 7, -2, -3, 8, -9]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s741(-5,1) 

Field minimum poly (root): x^13 - 5*x^12 + x^11 + 22*x^10 - 6*x^9 - 45*x^8 - 17*x^7 + 68*x^6 + 42*x^5 - 52*x^4 - 27*x^3 + 13*x^2 + 4*x - 1 (10)
Real ramification: [1, 4, 5, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2802(2,3)* 

Field minimum poly (root): x^13 - 6*x^11 + 13*x^9 - 2*x^8 - 4*x^7 + 9*x^6 - 27*x^5 - 13*x^4 + 36*x^3 + 4*x^2 - 12*x + 2 (8)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 6, [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m376(-1,3)* 

Field minimum poly (root): x^13 - 6*x^11 + 13*x^9 - 2*x^8 - 4*x^7 + 9*x^6 - 27*x^5 - 13*x^4 + 36*x^3 + 4*x^2 - 12*x + 2 (8)
Real ramification: [2, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s448(-1,3)* 

Field minimum poly (root): x^13 - 6*x^11 + 21*x^9 - 13*x^8 - 44*x^7 + 52*x^6 + 43*x^5 - 66*x^4 - 11*x^3 + 27*x^2 - 4*x - 1 (10)
Real ramification: [1, 2, 3, 4, 5, 7, 9]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(-5,1)* 

Field minimum poly (root): x^13 - 6*x^11 - 2*x^10 + 19*x^9 + 10*x^8 - 36*x^7 - 15*x^6 + 37*x^5 + 16*x^4 - 15*x^3 - 7*x^2 + 2*x + 1 (8)
Real ramification: [2, 3, 5]
Finite ramification: [[269, [124, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [128, 12, -11, 26, 65, -87, 70, -118, -25, -17, 37, -124, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3348(-3,2) 

Field minimum poly (root): x^13 - 6*x^11 - x^10 + 13*x^9 + 6*x^8 - 10*x^7 - 12*x^6 - 2*x^5 + 7*x^4 + 5*x^3 + 2*x^2 - x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[13, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 3, 6, 6, -6, 2, 6, 5, -6, 3, -2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2739(-3,4) 

Field minimum poly (root): x^13 - 6*x^11 - x^10 + 13*x^9 + 6*x^8 - 10*x^7 - 12*x^6 - 2*x^5 + 7*x^4 + 5*x^3 + 2*x^2 - x - 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2691(1,4) 

Field minimum poly (root): x^13 - 6*x^12 + 11*x^11 + 3*x^10 - 33*x^9 + 36*x^8 - 2*x^7 - 30*x^6 + 28*x^5 - 5*x^4 - 4*x^3 + 5*x^2 - 4*x + 1 (9)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2984(-1,3)* 

Field minimum poly (root): x^13 - 6*x^12 + 11*x^11 + 4*x^10 - 46*x^9 + 74*x^8 - 38*x^7 - 37*x^6 + 53*x^5 + 9*x^4 - 22*x^3 - 13*x^2 - 5*x - 1 (10)
Real ramification: [2, 3, 4, 7]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0]~], [19, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -6, -8, 5, 3, -6, 8, 9, 6, 3, -3, -6, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s718(5,1) v1315(5,1)* 

Field minimum poly (root): x^13 - 6*x^12 + 12*x^11 + x^10 - 43*x^9 + 61*x^8 + 5*x^7 - 86*x^6 + 63*x^5 + 17*x^4 - 33*x^3 + 4*x^2 + 4*x - 1 (7)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s847(4,1)* 

Field minimum poly (root): x^13 - 6*x^12 + 15*x^11 - 17*x^10 - 6*x^9 + 46*x^8 - 49*x^7 + x^6 + 29*x^5 - 24*x^4 + 16*x^3 + 3*x^2 - 11*x + 1 (10)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s865(-3,2) 

Field minimum poly (root): x^13 - 6*x^12 + 6*x^11 + 26*x^10 - 47*x^9 - 36*x^8 + 84*x^7 + 29*x^6 - 56*x^5 - 9*x^4 + 12*x^3 - 4*x^2 + 2 (8)
Real ramification: [3, 4, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1]~], [229, [-83, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-69, 24, 50, -63, -31, 61, -41, -76, -6, -74, -15, 77, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2605(-5,1)* 

Field minimum poly (root): x^13 - 6*x^12 + 7*x^11 + 22*x^10 - 49*x^9 - 10*x^8 + 54*x^7 + 27*x^6 - 26*x^5 - 43*x^4 - x^3 + 12*x^2 + 6*x + 1 (8)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -1, 0, 2, 0, 2, -1, -1, 0, -2, -2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(-3,2) 

Field minimum poly (root): x^13 - 6*x^12 + 7*x^11 + 22*x^10 - 51*x^9 - 19*x^8 + 119*x^7 - 30*x^6 - 137*x^5 + 73*x^4 + 78*x^3 - 51*x^2 - 16*x + 11 (10)
Real ramification: [3, 5, 6, 7, 8]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 1, 0, 0, -3, -5, -2, 5, -4, 3, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3107(1,3)* 

Field minimum poly (root): x^13 - 6*x^12 + 9*x^11 + 14*x^10 - 52*x^9 + 21*x^8 + 83*x^7 - 93*x^6 - 37*x^5 + 99*x^4 - 16*x^3 - 39*x^2 + 12*x + 8 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[2, [0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1]~, 2, 1, [2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 2, 2, [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s854(-3,2) 

Field minimum poly (root): x^13 - 7*x^11 + 17*x^9 - x^8 - 17*x^7 + 2*x^6 + 9*x^5 - 4*x^3 + x^2 - x + 1 (7)
Real ramification: [1, 2, 3]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 0, 0, -1, -1, 2, -2, -1, 1, 1, 0, 0, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s490(3,2) 

Field minimum poly (root): x^13 - 8*x^11 - x^10 + 23*x^9 + 6*x^8 - 25*x^7 - 12*x^6 - 2*x^5 + 9*x^4 + 19*x^3 - 2*x^2 - 6*x - 1 (10)
Real ramification: [3, 4, 5, 6, 7]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 1, 0, 1, -1, -1, 1, 1, -1, 0, -1, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s873(-3,2) 

Field minimum poly (root): x^13 - x^11 - x^10 + 2*x^9 + x^8 - 2*x^7 - 6*x^6 - 4*x^5 + 2*x^4 - 2*x^3 - 7*x^2 - 4*x - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]~], [2, [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]~], [109, [16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [42, 0, 51, -18, 44, -20, -39, 45, -14, 30, -8, -13, -17]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s377(1,4) 

Field minimum poly (root): x^13 - x^12 + 2*x^10 + x^8 - 4*x^7 + x^6 + 2*x^5 - 3*x^4 + x^3 - 3*x^2 - x + 1 (9)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2715(-5,1)* 

Field minimum poly (root): x^13 - x^12 + 2*x^11 - 2*x^10 + 2*x^9 + x^8 - x^7 - 5*x^6 - 2*x^5 - 3*x^4 + 4*x^3 + 5*x^2 - x - 1 (8)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 1, -2, 3, 5, -5, 2, 0, 1, -2, -3, -5, 1]~], [139, [35, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-28, 35, -68, 15, 50, 31, -14, -52, -49, -10, -18, -61, -50]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3262(2,3) 

Field minimum poly (root): x^13 - x^12 + 2*x^11 - 3*x^10 - 5*x^9 + 3*x^8 + 2*x^7 + 9*x^6 - 3*x^5 - 7*x^4 - x^3 + 3*x - 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[73, [34, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, 30, -17, 5, 14, -17, -3, -12, -8, 29, -17, 18, -10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m400(3,4) 

Field minimum poly (root): x^13 - x^12 + 2*x^11 - 5*x^10 + 2*x^9 - 5*x^8 + x^7 + x^6 - 3*x^5 + 4*x^4 - x^3 + 2*x^2 + 2*x - 1 (8)
Real ramification: [3, 4, 5]
Finite ramification: [[3, [1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 1, 1, 2, 2, 3, 2, 3, 2, 1, 3, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m342(4,1) 

Field minimum poly (root): x^13 - x^12 + 2*x^11 - 5*x^10 + 3*x^9 - 5*x^8 + 7*x^7 + x^6 + 4*x^5 - 3*x^4 - 8*x^3 + 4*x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1]~], [181, [19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [19, -39, 88, 14, -39, 88, 24, -39, 78, -23, 20, -20, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m297(4,1) 

Field minimum poly (root): x^13 - x^12 + 2*x^11 - 5*x^9 + 3*x^7 - 3*x^6 + x^5 + 7*x^4 - 3*x^3 - 5*x^2 + x + 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3398(1,2)* 

Field minimum poly (root): x^13 - x^12 + x^10 - 2*x^9 - 10*x^8 + 11*x^6 - 17*x^5 - 10*x^4 + 8*x^3 + 8*x^2 - 6*x + 1 (9)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3356(-5,1) 

Field minimum poly (root): x^13 - x^12 + x^11 + 2*x^10 - 9*x^9 + 5*x^8 + 2*x^7 - 13*x^6 + 13*x^5 + 13*x^4 - 10*x^3 - 6*x^2 + 2*x + 1 (8)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2218(-1,2) 

Field minimum poly (root): x^13 - x^12 + x^11 + x^10 - x^9 + 2*x^8 - 4*x^7 + x^6 - x^5 - 3*x^4 + 3*x^3 - 2*x^2 + x + 1 (9)
Real ramification: [1, 3, 4, 5]
Finite ramification: [[13, [-4, -6, -4, -3, -2, 6, -4, -3, 6, 0, -4, 4, 2]~, 3, 1, [11, 6, 1, 5, 8, 2, 10, 12, 12, 10, 1, 6, 0]~], [19, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, 7, 6, 2, 9, -7, -2, -4, 3, 1, 2, -8, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2051(5,2) 

Field minimum poly (root): x^13 - x^12 + x^11 - x^10 + 7*x^9 - 5*x^8 + 6*x^7 + 10*x^5 - 6*x^4 + 5*x^3 - 2*x^2 - 1 (2)
Real ramification: [1]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0]~], [4093, [-1769, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [432, 392, -1554, 387, -1901, -1921, -1173, -566, 57, -169, 807, -935, -999]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3011(3,1)* 

Field minimum poly (root): x^13 - x^12 - 2*x^11 + 2*x^10 - 4*x^9 + 6*x^8 + 6*x^7 - 2*x^6 - 7*x^5 + 6*x^4 - x^3 + x^2 - 1 (8)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2479(-2,3)* 

Field minimum poly (root): x^13 - x^12 - 2*x^11 + 4*x^10 - 4*x^9 - 3*x^8 + 7*x^7 - 4*x^5 + 4*x^4 + 3*x^3 - 4*x^2 - x + 1 (10)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0]~], [13, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -4, 5, 0, -3, -6, 4, 4, 2, 3, 0, 2, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m034(-2,3)* 

Field minimum poly (root): x^13 - x^12 - 2*x^11 + 8*x^10 - 9*x^9 - 3*x^8 + 16*x^7 - 13*x^6 - 4*x^5 + 16*x^4 - 3*x^3 - 7*x^2 + x + 1 (9)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m137(5,1)* 

Field minimum poly (root): x^13 - x^12 - 2*x^11 - x^10 + 6*x^9 + 14*x^8 - 36*x^7 - x^6 + 57*x^5 - 40*x^4 - 16*x^3 + 29*x^2 - 10*x + 1 (8)
Real ramification: [1, 2, 3, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s871(4,1) 

Field minimum poly (root): x^13 - x^12 - 3*x^11 + 5*x^10 + x^9 - 6*x^8 - 2*x^7 + 10*x^6 - 2*x^5 - 10*x^4 + 5*x^3 + 5*x^2 - 5*x + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[45259, [16978, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-18756, -17830, -15084, 13788, 3934, -22545, 16098, 14952, 21639, 8749, -7712, -5744, 33]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s313(2,3) 

Field minimum poly (root): x^13 - x^12 - 3*x^11 - 2*x^10 + 3*x^9 + 14*x^8 + 7*x^7 - 19*x^6 - 19*x^5 + 7*x^4 + 13*x^3 + 2*x^2 - 3*x - 1 (8)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[1801, [-9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-200, -222, -225, 774, -315, -233, -424, -248, 171, 619, 69, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2694(3,1) 

Field minimum poly (root): x^13 - x^12 - 3*x^11 - x^10 + 3*x^9 + 7*x^8 + 2*x^7 + 3*x^6 - 3*x^5 - 11*x^4 - 5*x^3 - 5*x^2 - 2*x - 1 (8)
Real ramification: [1, 2, 5]
Finite ramification: [[35149, [13025, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5138, 15184, -14753, 1955, -3708, -8964, 171, -8002, 7245, 15654, -572, -13018, 19]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s862(-5,1) 

Field minimum poly (root): x^13 - x^12 - 4*x^10 + 9*x^9 - 2*x^8 + 12*x^7 - 5*x^6 - 29*x^5 + 14*x^4 + 14*x^3 - 7*x^2 - 2*x + 1 (9)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m034(5,1) 

Field minimum poly (root): x^13 - x^12 - 4*x^11 + 4*x^10 + 6*x^9 - 7*x^8 - 6*x^7 + 6*x^6 + 6*x^5 - 6*x^3 - x^2 + 4*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[13, [19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -3, -6, 1, 2, 6, 6, 2, 1, 0, 0, -3, -4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m022(-1,3)* 

Field minimum poly (root): x^13 - x^12 - 4*x^11 + 4*x^10 + x^9 - 3*x^8 + 6*x^7 + 3*x^6 - 2*x^5 - 10*x^4 + x^3 + 2*x^2 + 2*x - 1 (10)
Real ramification: [1, 2, 3, 5, 7]
Finite ramification: [[151, [-31, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [39, -67, 27, -43, 72, 17, -58, 71, 17, 20, 20, 30, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s161(5,3) 

Field minimum poly (root): x^13 - x^12 - 4*x^11 + 4*x^10 + x^9 - 3*x^8 + 6*x^7 + 3*x^6 - 2*x^5 - 10*x^4 + x^3 + 2*x^2 + 2*x - 1 (10)
Real ramification: [1, 2, 3, 4, 5, 6, 7]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m285(1,3) 

Field minimum poly (root): x^13 - x^12 - 4*x^11 + 5*x^10 + 7*x^9 - 7*x^8 - 15*x^7 + 6*x^6 + 19*x^5 - 6*x^4 - 13*x^3 + 3*x^2 + 5*x - 1 (8)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m360(-4,3) 

Field minimum poly (root): x^13 - x^12 - 4*x^11 + x^10 + 8*x^9 - 2*x^8 - 6*x^7 + 5*x^6 + 9*x^5 - 10*x^4 - 10*x^3 + 6*x^2 + 6*x + 1 (8)
Real ramification: [1, 2, 5]
Finite ramification: [[2, [0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0]~, 3, 2, [1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2725(-2,3) 

Field minimum poly (root): x^13 - x^12 - 4*x^9 + 3*x^8 - 3*x^7 + 3*x^6 + 3*x^5 - x^4 + 4*x^3 - 2*x^2 + x - 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, -1, 1, -1, -1, -1, -1, -1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3215(5,2) 

Field minimum poly (root): x^13 - x^12 - 5*x^11 + 11*x^10 - 6*x^9 - 12*x^8 + 20*x^7 - 5*x^6 - 2*x^4 + x^2 - 6*x + 3 (10)
Real ramification: [1, 2, 3, 4, 5, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2941(3,2) 

Field minimum poly (root): x^13 - x^12 - 5*x^11 + 3*x^10 + 10*x^9 + x^8 - 10*x^7 - 10*x^6 + 5*x^5 + 6*x^4 - x^2 + 2*x + 1 (8)
Real ramification: [1]
Finite ramification: [[2141, [-169, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [48, 771, 532, 59, 305, 981, 531, 599, -802, -600, 578, 175, 61]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s877(-3,4) 

Field minimum poly (root): x^13 - x^12 - 5*x^11 + 4*x^10 + x^9 + 4*x^8 + 14*x^7 - 21*x^6 + 3*x^5 - 3*x^4 - 3*x^3 + 8*x^2 - 2*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2422(4,1)* 

Field minimum poly (root): x^13 - x^12 - 5*x^11 + 5*x^10 + 2*x^9 - 9*x^8 + 19*x^7 + 4*x^6 - 25*x^5 + 3*x^4 + 2*x^3 - 3*x^2 + 2*x + 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 2, -2, -2, 1, -1, -2, 2, -1, 1, 0, 2, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s927(2,3) 

Field minimum poly (root): x^13 - x^12 - 6*x^11 + 6*x^10 + 15*x^9 - 13*x^8 - 24*x^7 + 16*x^6 + 25*x^5 - 12*x^4 - 15*x^3 + 5*x^2 + 3*x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s763(3,1)* 

Field minimum poly (root): x^13 - x^12 - 7*x^11 + 11*x^10 + 22*x^9 - 39*x^8 - 27*x^7 + 75*x^6 + 6*x^5 - 71*x^4 + 17*x^3 + 25*x^2 - 12*x + 1 (9)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3428(-5,1)* 

Field minimum poly (root): x^13 - x^12 - 7*x^11 + 6*x^10 + 18*x^9 - 15*x^8 - 20*x^7 + 23*x^6 + 6*x^5 - 20*x^4 + 6*x^3 + 6*x^2 - 5*x + 1 (6)
Real ramification: [1, 2, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s933(-4,3)* 

Field minimum poly (root): x^13 - x^12 - 8*x^11 + 13*x^10 + 19*x^9 - 53*x^8 + 2*x^7 + 80*x^6 - 59*x^5 - 22*x^4 + 45*x^3 - 28*x^2 + 16*x - 4 (9)
Real ramification: [1, 4, 5]
Finite ramification: [[3853, [-1645, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1698, 123, -1626, -898, 1435, -1193, 556, 747, 831, -845, -424, 1617, 758]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3465(2,3)* 

Field minimum poly (root): x^13 - x^12 - 8*x^11 + 9*x^10 + 23*x^9 - 33*x^8 - 20*x^7 + 49*x^6 - 9*x^5 - 22*x^4 + 4*x^3 + 9*x^2 - 1 (7)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m192(-5,1) 

Field minimum poly (root): x^13 - x^12 - x^10 + 5*x^9 + 10*x^8 + 6*x^7 - 8*x^6 + 9*x^5 - 5*x^4 - 15*x^3 + 5*x^2 + 4*x - 1 (9)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[3, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, -1, 0, -1, 0, -1, 1, 1, -1, 0, 0, 0]~], [11, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -2, 5, -4, 3, 4, 1, -1, 5, -1, 2, -1, -2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3247(-3,4) 

Field minimum poly (root): x^13 - x^12 - x^11 + 10*x^9 + 5*x^8 - 6*x^7 - 14*x^6 - 10*x^5 - 7*x^4 - 9*x^3 - 4*x^2 - x + 1 (7)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s721(-5,1)* 

Field minimum poly (root): x^13 - x^12 - x^11 + 3*x^10 - 2*x^9 - x^7 + 6*x^5 - 4*x^4 - 7*x^3 + 3*x^2 + 3*x - 1 (8)
Real ramification: [1, 3, 4]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -2, 0, 5, -2, 1, 2, 6, 0, -2, 4, -1, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m190(-4,1)* 

Field minimum poly (root): x^13 - x^12 - x^11 + 4*x^10 - 3*x^9 + x^7 - 3*x^6 - x^5 + 6*x^4 - x^2 - 2*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[16111, [590, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7576, -6841, 2093, 7639, 2898, -4578, 4777, 4955, 6611, -7271, -4782, -1441, 4527]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m117(3,2) 

Field minimum poly (root): x^13 - x^12 - x^11 - 2*x^10 - 2*x^9 - 3*x^8 + 5*x^7 + 15*x^6 + 14*x^5 + 7*x^4 + x^3 - 2*x - 1 (9)
Real ramification: [3, 5]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, 0, 3, 2, 0, 2, 2, -3, -3, 1, 0, 3]~], [71, [-35, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-25, 9, -12, -32, -25, -10, 18, -30, -21, -17, -32, -17, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2481(-1,4) 

Field minimum poly (root): x^14 + 2*x^12 - 4*x^11 + 3*x^10 - 7*x^9 + 4*x^8 - 3*x^7 + x^6 + 5*x^5 - 3*x^4 + 2*x^3 - 3*x^2 + 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[337, [-154, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [150, 32, -99, -81, -42, -107, -122, -140, -76, 59, -166, 145, 61, -140]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3086(-1,3) 

Field minimum poly (root): x^14 + 2*x^12 - x^11 + 2*x^10 - 4*x^9 + 5*x^8 - 3*x^7 - 6*x^6 + 11*x^5 - 14*x^4 + 9*x^3 + 2*x^2 - 4*x + 1 (9)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[3361, [-1158, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-109, -242, 1342, -523, -915, -1551, -1362, 854, 255, 985, -525, -50, 1164, 61]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3387(-4,1) 

Field minimum poly (root): x^14 + 2*x^12 - x^11 - 4*x^10 + x^9 - 10*x^8 + 10*x^7 - 9*x^6 + 14*x^5 - 12*x^4 + 12*x^3 - 8*x^2 + 4*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2698(-3,1)* 

Field minimum poly (root): x^14 + 4*x^12 + 6*x^10 - 3*x^9 - x^8 - 11*x^7 - 10*x^6 - 4*x^5 + 5*x^4 + 11*x^3 + 2*x^2 - 3*x - 1 (7)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[29, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -13, -9, 5, 4, -4, 10, -11, -6, 7, 1, -1, -4, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s889(-4,1) 

Field minimum poly (root): x^14 + 4*x^12 - 2*x^11 + 10*x^10 - 6*x^9 + 17*x^8 - 12*x^7 + 19*x^6 - 13*x^5 + 15*x^4 - 10*x^3 + 4*x^2 - 4*x + 1 (8)
Real ramification: [2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1]~], [3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, -1, 0, 0, 1, 0, 0, 1, 1, 0, -1, 1, 1]~], [5, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -2, 2, 1, -2, -2, 2, 2, 0, -2, -1, -2, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3221(4,1) v3228(-4,1)* 

Field minimum poly (root): x^14 + 7*x^12 - x^11 + 20*x^10 - 2*x^9 + 27*x^8 - 4*x^7 + 18*x^6 - 8*x^5 + 6*x^4 - 2*x^3 - 2*x^2 + 5*x - 1 (8)
Real ramification: [1, 2]
Finite ramification: [[2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 1, [2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1]~], [2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 2, [1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1262(5,1) 

Field minimum poly (root): x^14 + x^12 - x^11 - 4*x^10 + 2*x^9 - 4*x^8 + 12*x^7 - 4*x^6 + 6*x^5 - 8*x^4 - x^3 - x^2 + x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s527(5,2)* 

Field minimum poly (root): x^14 - 10*x^12 - 2*x^11 + 40*x^10 + 9*x^9 - 71*x^8 - 20*x^7 + 57*x^6 + 22*x^5 - 22*x^4 - 11*x^3 + 6*x^2 + 5*x + 1 (10)
Real ramification: [1, 3, 4, 5, 6]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, -2, -1, 1, -1, 2, 2, -2, -1, -1, 1, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s472(-4,1)* 

Field minimum poly (root): x^14 - 2*x^12 - x^11 - 5*x^10 + x^9 + 8*x^8 + 3*x^7 + 7*x^6 + 4*x^5 - 7*x^4 - 4*x^3 - 2*x^2 - 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 6, -3, -1, 6, 5, 4, -6, -5, 0, -5, -3, 4, -6]~], [37, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, -7, -8, -5, 6, 8, -12, 11, -7, -11, -3, 0, -2, 10]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s527(4,3)* 

Field minimum poly (root): x^14 - 2*x^13 + 3*x^11 - 10*x^10 + 7*x^9 + 6*x^8 - 8*x^7 + 14*x^6 + 2*x^5 - 6*x^4 - 11*x^3 + 4*x + 1 (11)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3349(1,3)* 

Field minimum poly (root): x^14 - 2*x^13 + 3*x^12 - 4*x^11 + 3*x^9 - 8*x^8 + 11*x^7 - 6*x^6 + 3*x^5 + 4*x^4 - 7*x^3 + 6*x^2 - 4*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[769, [-213, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-278, -41, 7, 47, -350, 298, -78, -134, 346, -2, 213, 344, 211, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s929(2,3) 

Field minimum poly (root): x^14 - 2*x^13 + 3*x^12 - 4*x^11 + x^10 + 2*x^9 - 6*x^8 + 8*x^7 - 10*x^6 + 12*x^5 - 2*x^4 - 5*x^3 + 11*x^2 - 12*x + 4 (9)
Real ramification: [1, 2, 3, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s844(-3,1)* 

Field minimum poly (root): x^14 - 2*x^13 + 3*x^12 - 4*x^11 - x^10 + 4*x^9 - 8*x^8 + 11*x^7 - 3*x^6 + x^5 + 4*x^4 - 7*x^3 + 4*x^2 - 3*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[1747, [-583, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [872, 439, -221, -321, 386, -296, 434, -239, 527, -89, -132, -192, 581, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s763(2,3)* 

Field minimum poly (root): x^14 - 2*x^13 + 4*x^12 - 2*x^11 - 2*x^10 + 7*x^9 - 11*x^8 + 4*x^7 - 2*x^6 - 7*x^5 + 5*x^4 - x^3 + 2*x^2 + 4*x + 1 (10)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3199(4,1) 

Field minimum poly (root): x^14 - 2*x^13 + 4*x^12 - 6*x^11 + 3*x^10 - 4*x^9 - 7*x^8 + x^7 - 10*x^6 - x^5 - x^4 + x^2 + 3*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[53, [9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-7, -17, 5, 19, 22, -22, 1, -2, -22, -26, 5, -16, 17, -19]~], [97, [-13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-30, 21, 27, -5, -1, -12, 37, 16, -12, -10, -7, -7, 39, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1640(4,3) 

Field minimum poly (root): x^14 - 2*x^13 + 5*x^12 - 4*x^11 + 2*x^10 + 6*x^9 - 11*x^8 + 9*x^7 - 9*x^6 - 4*x^5 - 6*x^4 - 2*x^3 + 9*x^2 + 6*x + 1 (10)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[13, [6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 2, -5, -2, -6, -1, -6, -1, 5, -4, -1, 3, -4, -5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2869(-2,3) 

Field minimum poly (root): x^14 - 2*x^13 + 5*x^12 - 8*x^11 + 9*x^10 - 11*x^9 + 3*x^8 - 2*x^7 - 8*x^6 + 6*x^5 - 2*x^4 + x^3 + 10*x^2 + 6*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m247(2,3)* 

Field minimum poly (root): x^14 - 2*x^13 + 5*x^12 - 9*x^11 + 9*x^10 - 20*x^9 + x^8 - 30*x^7 - 17*x^6 - 8*x^5 + 22*x^4 + 53*x^3 + 36*x^2 + 10*x + 1 (7)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3490(5,2) 

Field minimum poly (root): x^14 - 2*x^13 + 7*x^12 - 6*x^11 + 14*x^10 - 14*x^9 + 13*x^8 - x^7 - 18*x^6 - 17*x^5 - 16*x^4 + 11*x^3 + 20*x^2 + 8*x + 1 (10)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [-2, -2, 2, -1, -2, -1, -1, 2, 2, 2, -2, -2, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3199(-6,1) 

Field minimum poly (root): x^14 - 2*x^13 - 11*x^12 + 26*x^11 + 37*x^10 - 121*x^9 - 21*x^8 + 246*x^7 - 93*x^6 - 213*x^5 + 135*x^4 + 75*x^3 - 55*x^2 - 8*x + 2 (10)
Real ramification: [2, 3, 4, 5, 6, 7]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0]~], [2, [1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0]~, 1, 9, [2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m410(1,3) 

Field minimum poly (root): x^14 - 2*x^13 - 2*x^12 + 4*x^11 + 2*x^10 - 2*x^9 - 4*x^7 - x^6 + 10*x^5 - 6*x^4 + 4*x^2 - 2*x - 1 (8)
Real ramification: [1, 3, 4, 6]
Finite ramification: [[7, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -1, 2, 3, -3, 1, 0, -1, -3, 3, 0, 3, 0, 3]~], [101, [41, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-35, -32, -10, -31, 40, 19, -16, 20, 43, 41, 30, -19, 7, 38]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s611(-2,3) 

Field minimum poly (root): x^14 - 2*x^13 - 2*x^12 + 7*x^11 - 5*x^10 - 11*x^9 + 11*x^8 + 5*x^7 - 5*x^6 + 6*x^5 + 2*x^4 - x^3 + 3*x^2 - x - 1 (8)
Real ramification: [1, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s599(1,3) 

Field minimum poly (root): x^14 - 2*x^13 - 2*x^12 + 7*x^11 - 7*x^10 - 2*x^9 + 20*x^8 - 15*x^7 - 13*x^6 + 19*x^5 + 3*x^4 - 10*x^3 - x^2 + 4*x - 1 (11)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[131, [-44, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, -3, -6, 12, 27, 24, -20, -15, 26, -47, 11, 12, 42, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m279(1,4) 

Field minimum poly (root): x^14 - 2*x^13 - 2*x^12 + 9*x^11 - x^10 - 22*x^9 + 14*x^8 + 28*x^7 - 23*x^6 - 18*x^5 + 18*x^4 + 6*x^3 - 7*x^2 - x + 1 (4)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2343(4,1) 

Field minimum poly (root): x^14 - 2*x^13 - 3*x^11 + 3*x^10 + 4*x^9 - 3*x^8 - 2*x^7 + 8*x^6 - 12*x^5 + 2*x^4 + 11*x^3 - 5*x^2 - 2*x + 1 (9)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3262(1,4)* 

Field minimum poly (root): x^14 - 2*x^13 - 3*x^12 + 10*x^11 + 8*x^10 - 14*x^9 - 26*x^8 - 5*x^7 + 45*x^6 + 27*x^5 - 35*x^4 - 19*x^3 + 11*x^2 + 4*x - 1 (7)
Real ramification: [2, 3, 4, 5]
Finite ramification: [[17, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 7, 1, 8, 1, 8, 7, -4, -7, -5, 7, 8, 4, 5]~], [59, [-25, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [13, -12, 19, 21, 0, 4, -27, -23, -7, -7, 14, 29, -27, -11]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3244(1,3) v3246(1,3) 

Field minimum poly (root): x^14 - 2*x^13 - 3*x^12 + 6*x^11 + 6*x^10 - 4*x^9 - 13*x^8 - 6*x^7 + 21*x^6 + 13*x^5 - 22*x^4 - 10*x^3 + 10*x^2 + 3*x - 1 (9)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[739, [12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-158, -89, -368, 277, 17, 105, 200, -269, -141, -122, -106, 91, -90, 55]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s599(-2,3) 

Field minimum poly (root): x^14 - 2*x^13 - 3*x^12 + 9*x^11 + 4*x^10 - 17*x^9 - 4*x^8 + 14*x^7 + x^6 - 4*x^5 + 2*x^4 - 4*x^3 - 2*x^2 + 2*x + 1 (4)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0]~], [19, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 0, 5, -3, 9, -3, -2, -9, -5, 6, -3, -2, 0, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s751(-2,3)* 

Field minimum poly (root): x^14 - 2*x^13 - 4*x^12 + 10*x^11 - x^10 - 3*x^9 - 14*x^8 + 24*x^7 + 2*x^6 - 31*x^5 + 14*x^4 + 9*x^3 - 8*x^2 + x + 1 (7)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[409, [-177, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-146, -200, -139, -151, -52, 162, 12, 85, 22, -51, -105, 22, -192, -128]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2217(-2,3)* 

Field minimum poly (root): x^14 - 2*x^13 - 4*x^12 + 12*x^11 + x^10 - 28*x^9 + 19*x^8 + 26*x^7 - 37*x^6 + x^5 + 24*x^4 - 12*x^3 - 3*x^2 + 4*x - 1 (10)
Real ramification: [2, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2889(-1,2)* 

Field minimum poly (root): x^14 - 2*x^13 - 4*x^12 + 15*x^11 - 5*x^10 - 37*x^9 + 49*x^8 + 19*x^7 - 86*x^6 + 48*x^5 + 43*x^4 - 58*x^3 + 10*x^2 + 16*x - 8 (10)
Real ramification: [2, 3, 5, 6]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]~, 2, 1, [2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0]~], [2, [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1]~, 2, 2, [2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3077(3,2) 

Field minimum poly (root): x^14 - 2*x^13 - 5*x^12 + 10*x^11 + 4*x^10 - 9*x^9 + 2*x^8 - 3*x^7 - x^6 + x^5 - x^4 - x^3 + 3*x^2 - 2*x + 4 (9)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3110(1,4)* 

Field minimum poly (root): x^14 - 2*x^13 - 5*x^12 + 12*x^11 + 6*x^10 - 25*x^9 + 15*x^8 + 2*x^7 - 43*x^6 + 55*x^5 + 31*x^4 - 54*x^3 - 8*x^2 + 12*x + 2 (11)
Real ramification: [1, 2, 3, 4, 5, 6, 7]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s448(-2,3) 

Field minimum poly (root): x^14 - 2*x^13 - 5*x^12 + 14*x^11 + 7*x^10 - 40*x^9 + 2*x^8 + 64*x^7 - 19*x^6 - 60*x^5 + 20*x^4 + 33*x^3 - 3*x^2 - 9*x - 2 (9)
Real ramification: [1, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v1268(-5,1)* 

Field minimum poly (root): x^14 - 2*x^13 - 5*x^12 + 16*x^11 + 2*x^10 - 47*x^9 + 24*x^8 + 72*x^7 - 60*x^6 - 54*x^5 + 59*x^4 + 17*x^3 - 23*x^2 - 3*x + 2 (10)
Real ramification: [1, 2, 3, 4, 5, 6, 7]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s903(2,3)* 

Field minimum poly (root): x^14 - 2*x^13 - 6*x^12 + 11*x^11 + 18*x^10 - 29*x^9 - 25*x^8 + 30*x^7 + 34*x^6 - 27*x^5 - 17*x^4 + 9*x^3 + 5*x^2 - 2*x - 1 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s761(-3,1) 

Field minimum poly (root): x^14 - 2*x^13 - 6*x^12 + 12*x^11 + 15*x^10 - 23*x^9 - 27*x^8 + 18*x^7 + 33*x^6 - 8*x^5 - 19*x^4 + x^3 + 5*x^2 + 2*x - 1 (9)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0]~, 1, 9, [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3081(-5,1)* 

Field minimum poly (root): x^14 - 2*x^13 - 6*x^12 + 13*x^11 + 13*x^10 - 35*x^9 - 10*x^8 + 52*x^7 - 11*x^6 - 47*x^5 + 31*x^4 + 25*x^3 - 21*x^2 - 6*x + 4 (9)
Real ramification: [1, 3, 4, 5, 8]
Finite ramification: [[109, [21, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [34, 49, -29, -2, 21, 17, -2, 33, 23, -40, 19, -40, 2, -43]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s849(-4,1) 

Field minimum poly (root): x^14 - 2*x^13 - 6*x^12 + 15*x^11 + 14*x^10 - 46*x^9 - 22*x^8 + 84*x^7 + 24*x^6 - 99*x^5 - 12*x^4 + 61*x^3 + 3*x^2 - 13*x - 1 (10)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2320(-4,1)* 

Field minimum poly (root): x^14 - 2*x^13 - 7*x^12 + 17*x^11 + 14*x^10 - 52*x^9 + 2*x^8 + 63*x^7 - 25*x^6 - 12*x^5 - 9*x^4 - 13*x^3 + 35*x^2 - 10*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3183(4,1) 

Field minimum poly (root): x^14 - 2*x^13 - 7*x^12 + 18*x^11 + 15*x^10 - 61*x^9 + 4*x^8 + 91*x^7 - 42*x^6 - 62*x^5 + 39*x^4 + 27*x^3 - 18*x^2 - 12*x + 8 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2447(2,3) 

Field minimum poly (root): x^14 - 2*x^13 - 7*x^12 + 6*x^11 + 27*x^10 + 6*x^9 - 44*x^8 - 39*x^7 + 20*x^6 + 38*x^5 + x^4 - 17*x^3 - 2*x^2 + 5*x - 1 (11)
Real ramification: [2, 3, 4, 5, 6, 7, 8]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s956(-1,4)* s956(1,4) s961(1,4) 

Field minimum poly (root): x^14 - 2*x^13 - 8*x^12 + 14*x^11 + 19*x^10 - 37*x^9 - 18*x^8 + 48*x^7 + 18*x^6 - 41*x^5 - 19*x^4 + 20*x^3 + 8*x^2 - 3*x - 1 (12)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2740(-2,3) 

Field minimum poly (root): x^14 - 2*x^13 - 9*x^12 + 18*x^11 + 25*x^10 - 53*x^9 - 20*x^8 + 60*x^7 - 11*x^6 - 22*x^5 + 15*x^4 + 4*x^3 - 4*x^2 - 2*x + 1 (12)
Real ramification: [2, 3, 4, 7, 8, 9]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3470(2,3) 

Field minimum poly (root): x^14 - 2*x^13 - x^12 + 2*x^11 - 4*x^10 + 13*x^9 - 12*x^8 + 7*x^7 + 2*x^6 - 8*x^5 + 8*x^4 - 10*x^3 + 8*x^2 - 5*x + 2 (9)
Real ramification: [1, 2, 5, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1]~], [41, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 0, -2, 14, 20, 8, -9, -9, 8, -20, 15, -16, 5, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2412(3,4) 

Field minimum poly (root): x^14 - 2*x^13 - x^12 + 5*x^11 + 8*x^10 - 7*x^9 - 11*x^8 + 3*x^7 + 19*x^6 + x^5 - 15*x^4 + 8*x^2 - 1 (4)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2417(3,4)* 

Field minimum poly (root): x^14 - 2*x^13 - x^12 + 7*x^11 - 6*x^10 - x^9 + 4*x^8 + 7*x^7 - 13*x^6 + 5*x^5 + x^4 - 2*x^3 - 3*x^2 - x + 1 (5)
Real ramification: [1, 3, 4]
Finite ramification: [[8527, [636, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1690, 331, -3236, 651, 4132, -1666, 2519, -2847, 1315, -3461, -724, 3174, 1975, -3568]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s682(1,3) 

Field minimum poly (root): x^14 - 2*x^13 - x^12 + 8*x^11 - 13*x^10 + 9*x^9 + 6*x^8 - 28*x^7 + 37*x^6 - 23*x^5 + 2*x^4 + 10*x^3 - 10*x^2 + 6*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m155(2,3)* 

Field minimum poly (root): x^14 - 3*x^12 + x^10 - 2*x^9 + 4*x^8 + 3*x^7 - 4*x^6 - 4*x^3 + 2*x^2 + 2*x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[151, [-49, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [37, -64, -26, -59, -69, 14, 62, 69, -11, -31, 24, -18, 49, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m326(4,3) 

Field minimum poly (root): x^14 - 3*x^12 - 2*x^11 + 10*x^9 + 6*x^8 - 16*x^7 - 4*x^6 + 2*x^5 - 3*x^4 + 11*x^3 + 4*x^2 - 4*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s556(-1,3) 

Field minimum poly (root): x^14 - 3*x^12 - x^11 + 3*x^10 - 5*x^8 + 3*x^7 + 7*x^6 - 3*x^5 - 8*x^4 + x^3 + 5*x^2 - 1 (7)
Real ramification: [1, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m346(-2,3)* 

Field minimum poly (root): x^14 - 3*x^13 + 2*x^12 + 2*x^11 - 3*x^10 + 4*x^9 - 2*x^8 - 3*x^7 - x^6 + 3*x^5 + 3*x^4 - 7*x^3 + x^2 + 3*x - 1 (6)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0]~, 3, 2, [2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s417(-4,3) 

Field minimum poly (root): x^14 - 3*x^13 + 2*x^12 + 4*x^11 - 15*x^10 + 8*x^9 + 9*x^8 - 28*x^7 - 2*x^6 + 14*x^5 - 10*x^4 - 5*x^3 + 9*x^2 + 6*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[2, [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0]~], [2, [1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 6, [1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s755(-1,3) 

Field minimum poly (root): x^14 - 3*x^13 + 3*x^12 + 5*x^11 - 14*x^10 + 21*x^9 - 17*x^8 - 4*x^7 + 32*x^6 - 30*x^5 - 6*x^4 + 19*x^3 - 4*x^2 - 3*x + 1 (9)
Real ramification: [2, 3, 4, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2876(3,2) 

Field minimum poly (root): x^14 - 3*x^13 + 3*x^12 + x^11 - 10*x^10 + 8*x^9 + 9*x^8 - 17*x^7 + 6*x^6 + 28*x^5 - 28*x^4 - 9*x^3 + 20*x^2 - 8*x + 1 (11)
Real ramification: [1, 2, 4, 5, 6, 8]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1]~], [67, [-22, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-15, 15, -2, -7, -17, -25, 23, -32, -23, -20, 0, 0, 28, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m151(-4,3) 

Field minimum poly (root): x^14 - 3*x^13 + 3*x^12 - 5*x^11 + 14*x^10 - 11*x^9 - 22*x^8 + 39*x^7 - 11*x^6 - 20*x^5 + 14*x^4 - 3*x^3 + 4*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3408(5,1) 

Field minimum poly (root): x^14 - 3*x^13 + 4*x^12 - 6*x^11 + 8*x^10 - 8*x^9 + 9*x^8 - 8*x^7 + 5*x^6 - 4*x^5 + 2*x^4 + x^3 + x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m297(-5,2) 

Field minimum poly (root): x^14 - 3*x^13 + 5*x^11 + 3*x^10 - 9*x^9 - 9*x^8 + 20*x^7 - 7*x^6 + 5*x^5 - 13*x^4 + 15*x^3 - 12*x^2 + 2*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[293, [-101, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [132, -123, -123, 52, -122, -88, -30, 81, -132, 60, -91, 54, 0, 69]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m312(-4,1) 

Field minimum poly (root): x^14 - 3*x^13 - 3*x^12 + 12*x^11 + 7*x^10 - 15*x^9 - 16*x^8 + 6*x^7 + 10*x^6 + 8*x^5 + 3*x^4 - 4*x^3 - 7*x^2 - x + 1 (7)
Real ramification: [1, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 6, [1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2623(4,1)* 

Field minimum poly (root): x^14 - 3*x^13 - 3*x^12 + 12*x^11 + 9*x^10 - 30*x^9 - 22*x^8 + 62*x^7 + 27*x^6 - 57*x^5 - 19*x^4 + 22*x^3 + 7*x^2 - 3*x - 1 (12)
Real ramification: [1, 2, 4, 6, 7, 8, 10]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m117(-5,2) 

Field minimum poly (root): x^14 - 3*x^13 - 3*x^12 + 17*x^11 - 4*x^10 - 32*x^9 + 14*x^8 + 36*x^7 - 13*x^6 - 31*x^5 + 4*x^4 + 19*x^3 + 2*x^2 - 5*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m345(4,1) 

Field minimum poly (root): x^14 - 3*x^13 - 3*x^12 + 20*x^11 - 8*x^10 - 55*x^9 + 58*x^8 + 72*x^7 - 126*x^6 - 37*x^5 + 134*x^4 - 6*x^3 - 72*x^2 + 8*x + 16 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]~, 2, 1, [2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3077(-3,2) 

Field minimum poly (root): x^14 - 3*x^13 - 5*x^12 + 18*x^11 + 15*x^10 - 43*x^9 - 42*x^8 + 53*x^7 + 68*x^6 - 26*x^5 - 52*x^4 - 5*x^3 + 16*x^2 + 5*x - 1 (9)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2914(1,3)* 

Field minimum poly (root): x^14 - 3*x^13 - 5*x^12 + 24*x^11 - 2*x^10 - 70*x^9 + 51*x^8 + 90*x^7 - 109*x^6 - 44*x^5 + 90*x^4 + 2*x^3 - 28*x^2 + x + 1 (11)
Real ramification: [1, 2, 3, 4, 8]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m378(-2,3) 

Field minimum poly (root): x^14 - 3*x^13 - 6*x^12 + 21*x^11 + 17*x^10 - 56*x^9 - 46*x^8 + 79*x^7 + 82*x^6 - 35*x^5 - 85*x^4 - 36*x^3 + 42*x^2 + 30*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 4, -6, 3, -3, -3, 3, 1, 7, -8, -1, 7, -8, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3453(4,1)* 

Field minimum poly (root): x^14 - 3*x^13 - 6*x^12 + 24*x^11 - 49*x^9 + 35*x^8 - 2*x^7 - 15*x^6 + 44*x^5 - 35*x^4 + 16*x^3 - 11*x^2 + x - 1 (10)
Real ramification: [2, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3110(-3,4)* 

Field minimum poly (root): x^14 - 3*x^13 - 8*x^12 + 29*x^11 + 20*x^10 - 107*x^9 - 8*x^8 + 192*x^7 - 37*x^6 - 178*x^5 + 56*x^4 + 79*x^3 - 25*x^2 - 11*x + 1 (11)
Real ramification: [3, 4, 6, 7, 9]
Finite ramification: [[727, [359, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-81, 146, 38, 314, -185, 160, -37, 353, 161, -102, 296, -183, -362, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3416(-4,1)* 

Field minimum poly (root): x^14 - 3*x^13 - x^12 + 11*x^11 - 9*x^10 - 8*x^9 + 16*x^8 - 4*x^7 - 5*x^6 + 2*x^5 + x^4 - 2*x^3 - 3*x^2 + 4*x - 1 (11)
Real ramification: [1, 2, 4, 5, 7]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3351(6,1) 

Field minimum poly (root): x^14 - 4*x^12 + 9*x^10 - x^9 - 13*x^8 + 3*x^7 + 14*x^6 - 9*x^5 - 11*x^4 + 9*x^3 + 6*x^2 - 2*x - 1 (10)
Real ramification: [2, 4, 6]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3266(4,3)* 

Field minimum poly (root): x^14 - 4*x^12 - 2*x^11 + 4*x^10 + 3*x^9 - x^8 - x^7 - x^3 + x^2 + 3*x + 2 (6)
Real ramification: [1, 2]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s889(1,4)* 

Field minimum poly (root): x^14 - 4*x^12 - x^11 - 2*x^10 + 2*x^9 + 18*x^8 + 4*x^7 - 4*x^6 - 5*x^5 - 19*x^4 + 11*x^2 + x - 1 (10)
Real ramification: [1, 2, 3, 5, 6, 7, 8]
Finite ramification: [[43, [-9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-14, 18, -5, 14, -20, 11, -19, -12, 14, -20, -18, 20, 13, 8]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s488(-2,3)* 

Field minimum poly (root): x^14 - 4*x^13 + 5*x^12 - x^11 - 7*x^10 + 10*x^9 - 4*x^8 - 12*x^7 + 13*x^6 + x^5 - 14*x^4 + 3*x^3 + x^2 - 4*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3457(-4,1) 

Field minimum poly (root): x^14 - 4*x^13 + 8*x^12 - 11*x^11 + 7*x^10 - x^9 + x^7 + 5*x^6 + 8*x^5 - 9*x^4 + 4*x^3 - x^2 - 2*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]~, 1, 2, [2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2375(-3,4) 

Field minimum poly (root): x^14 - 4*x^13 + 8*x^12 - 14*x^11 + 16*x^10 - 13*x^9 + 8*x^8 + 6*x^7 - 9*x^6 + 13*x^5 - 13*x^4 + 2*x^3 - 2*x^2 + x + 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[5, [-1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 2, 0, 0, -2, -2, -2, -2, 1, -2, 1, -1, 1, 0]~], [19, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -7, 4, 6, -9, 7, 4, 3, -4, 3, -9, 9, 3, -6]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s931(1,3) 

Field minimum poly (root): x^14 - 4*x^13 + 9*x^12 - 11*x^11 + 3*x^10 + 16*x^9 - 30*x^8 + 25*x^7 + 19*x^6 - 43*x^5 + 3*x^4 + 20*x^3 - 5*x^2 - 3*x + 1 (9)
Real ramification: [1, 2, 3, 4, 6, 7, 8]
Finite ramification: [[11, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, 3, -1, 3, 4, 3, 0, 5, 0, 5, -1, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s648(-1,2)* 

Field minimum poly (root): x^14 - 4*x^13 + x^12 + 5*x^11 + 15*x^10 - 3*x^9 - 70*x^8 - 8*x^7 + 122*x^6 + 36*x^5 - 101*x^4 - 43*x^3 + 33*x^2 + 16*x - 1 (11)
Real ramification: [1, 4, 5, 6, 7, 8, 9, 10]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m260(-3,2)* 

Field minimum poly (root): x^14 - 4*x^13 - 2*x^12 + 22*x^11 - 6*x^10 - 51*x^9 + 31*x^8 + 62*x^7 - 50*x^6 - 38*x^5 + 37*x^4 + 10*x^3 - 11*x^2 - x + 1 (10)
Real ramification: [1, 2, 5, 6]
Finite ramification: [[13, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, -6, 2, 2, -1, -6, 2, 2, 4, -4, 6, 4, 5, 1]~], [113, [52, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [50, 49, 51, -16, 51, -43, -11, 34, -37, -22, 9, -28, -56, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1373(5,2) 

Field minimum poly (root): x^14 - 4*x^13 - 2*x^12 + 28*x^11 - 23*x^10 - 64*x^9 + 106*x^8 + 26*x^7 - 150*x^6 + 74*x^5 + 56*x^4 - 64*x^3 + 9*x^2 + 10*x - 4 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0]~], [29, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [2, 2, -3, -7, -7, 11, 1, 3, -7, 5, 13, 5, -8, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s386(6,1) 

Field minimum poly (root): x^14 - 4*x^13 - 3*x^12 + 27*x^11 - 5*x^10 - 73*x^9 + 24*x^8 + 111*x^7 - 26*x^6 - 104*x^5 + 7*x^4 + 53*x^3 + 3*x^2 - 10*x + 1 (7)
Real ramification: [1, 3, 4, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1]~], [3, [2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [-1, 0, -1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0]~], [17, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -8, 2, 2, 1, 7, 5, -1, -6, 7, -8, 6, 5, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s708(2,3) 

Field minimum poly (root): x^14 - 4*x^13 - 3*x^12 + 28*x^11 - 12*x^10 - 64*x^9 + 51*x^8 + 53*x^7 - 51*x^6 - 15*x^5 + 19*x^4 + 3*x^3 - 11*x^2 + 5*x - 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-2, -1, 0, 1, 1, -2, 2, 2, -2, 1, -1, -2, -2, 1]~], [13, [18, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, 0, 3, 0, -4, 3, -3, 6, -4, 1, 0, 3, 4, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m286(-5,2)* 

Field minimum poly (root): x^14 - 4*x^13 - 4*x^12 + 30*x^11 - 2*x^10 - 91*x^9 + 37*x^8 + 142*x^7 - 90*x^6 - 121*x^5 + 109*x^4 + 62*x^3 - 64*x^2 - 21*x + 9 (9)
Real ramification: [1, 3, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2076(-5,1)* 

Field minimum poly (root): x^14 - 4*x^13 - 5*x^12 + 26*x^11 + 18*x^10 - 84*x^9 - 48*x^8 + 154*x^7 + 78*x^6 - 142*x^5 - 82*x^4 + 56*x^3 + 35*x^2 - 6*x - 5 (6)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0]~, 1, 2, [2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3374(-5,1)* 

Field minimum poly (root): x^14 - 5*x^12 + 10*x^10 - 2*x^9 - 5*x^8 + 6*x^7 - 8*x^6 - 8*x^5 + 6*x^4 + 2*x^3 + 6*x^2 - 3*x - 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~, 1, 6, [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0]~], [13, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, -1, 2, -4, 0, 2, -2, 1, -4, 4, -4, -5, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s448(5,1)* 

Field minimum poly (root): x^14 - 5*x^13 + 3*x^12 + 20*x^11 - 27*x^10 - 24*x^9 + 42*x^8 + 28*x^7 - 50*x^6 - 6*x^5 + 13*x^4 + 25*x^3 - 26*x^2 + 8*x - 1 (7)
Real ramification: [3, 5, 6]
Finite ramification: [[151, [60, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-73, 24, -26, -52, 64, 24, 34, 15, 8, -71, 41, -23, -65, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2393(3,2) 

Field minimum poly (root): x^14 - 5*x^13 + 3*x^12 + 21*x^11 - 34*x^10 - 10*x^9 + 52*x^8 - 36*x^7 + x^6 + 25*x^5 - 22*x^4 + 3*x^3 + 3*x^2 - 4*x + 1 (10)
Real ramification: [1, 2, 3, 5, 6, 7, 8]
Finite ramification: [[29, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [14, 9, 3, 0, 11, -7, -4, -13, 11, -4, -14, -3, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s801(-4,1)* 

Field minimum poly (root): x^14 - 5*x^13 + 5*x^12 + 11*x^11 - 19*x^10 - 7*x^9 + 22*x^8 - 5*x^7 - 4*x^6 + 2*x^5 - 5*x^4 + 9*x^3 - x^2 - 5*x + 2 (9)
Real ramification: [1, 2, 3, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3346(-6,1) 

Field minimum poly (root): x^14 - 5*x^13 + 5*x^12 + 12*x^11 - 25*x^10 + 5*x^9 + 8*x^8 + x^7 + 24*x^6 - 40*x^5 - 4*x^4 + 29*x^3 - 9*x^2 - 2*x + 1 (10)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s643(3,2) 

Field minimum poly (root): x^14 - 5*x^13 + 7*x^12 - 6*x^11 + 20*x^10 - 8*x^9 - 56*x^8 + 19*x^7 + 68*x^6 + 7*x^5 - 49*x^4 - 18*x^3 + 11*x^2 + 7*x + 1 (11)
Real ramification: [1, 4, 5, 6, 7, 8, 9, 10]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m288(-3,2)* 

Field minimum poly (root): x^14 - 5*x^13 + x^12 + 30*x^11 - 33*x^10 - 59*x^9 + 75*x^8 + 78*x^7 - 62*x^6 - 87*x^5 + 13*x^4 + 43*x^3 + 13*x^2 - 2*x - 1 (9)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[3, [1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 3, 2, 3, 2, 2, 1, 2, 1, 3, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3453(3,2)* 

Field minimum poly (root): x^14 - 5*x^13 + x^12 + 31*x^11 - 35*x^10 - 78*x^9 + 139*x^8 + 87*x^7 - 278*x^6 + 33*x^5 + 247*x^4 - 132*x^3 - 45*x^2 + 37*x - 4 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3187(5,1)* 

Field minimum poly (root): x^14 - 6*x^12 + 12*x^10 - 3*x^9 + 5*x^8 + 15*x^7 - 48*x^6 - 9*x^5 + 30*x^4 - 21*x^3 + 40*x^2 + 6*x + 3 (1)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2875(-3,2) v2875(3,2)* 

Field minimum poly (root): x^14 - 6*x^12 - 3*x^11 + 12*x^10 + 11*x^9 - 23*x^8 - 13*x^7 + 37*x^6 + 6*x^5 - 28*x^4 - x^3 + 9*x^2 - 1 (12)
Real ramification: [2, 3, 6, 7, 8, 9, 10]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 2, 2, 0, 1, 0, 1, -1, 1, -1, 1, 0, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2616(4,1)* 

Field minimum poly (root): x^14 - 6*x^13 + 10*x^12 + 13*x^11 - 66*x^10 + 54*x^9 + 87*x^8 - 166*x^7 + 23*x^6 + 123*x^5 - 79*x^4 - 17*x^3 + 23*x^2 - 2 (10)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s952(-4,3)* 

Field minimum poly (root): x^14 - 6*x^13 + 10*x^12 + 4*x^11 - 24*x^10 + 10*x^9 + 29*x^8 - 35*x^7 - 10*x^6 + 30*x^5 - 8*x^4 - 18*x^3 + 9*x^2 + 2*x - 4 (5)
Real ramification: [1, 2]
Finite ramification: [[2, [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0]~], [29, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [12, 3, 9, 11, -10, 11, 13, -13, -10, -6, -1, 5, 0, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2627(-5,1) 

Field minimum poly (root): x^14 - 6*x^13 + 7*x^12 + 24*x^11 - 60*x^10 - 13*x^9 + 153*x^8 - 106*x^7 - 117*x^6 + 186*x^5 - 44*x^4 - 64*x^3 + 57*x^2 - 18*x + 2 (8)
Real ramification: [1, 2, 3, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1]~], [2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0]~], [19, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -9, -2, -1, -1, 7, -2, 2, -4, 2, -1, 5, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2365(-6,1)* 

Field minimum poly (root): x^14 - 6*x^13 + 8*x^12 + 15*x^11 - 34*x^10 - 21*x^9 + 60*x^8 + 35*x^7 - 85*x^6 + 9*x^5 - 5*x^4 + 25*x^3 + 26*x^2 - 35*x + 8 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3338(5,1)* 

Field minimum poly (root): x^14 - 7*x^12 + 20*x^10 - 2*x^9 - 29*x^8 + 10*x^7 + 20*x^6 - 19*x^5 - 3*x^4 + 13*x^3 - 4*x^2 - 2*x + 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0]~], [167, [36, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-51, 6, 9, -37, -64, 43, 4, 28, 68, 63, 22, -47, -36, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3266(-2,3) 

Field minimum poly (root): x^14 - 7*x^12 - 3*x^11 + 18*x^10 + 17*x^9 - 14*x^8 - 45*x^7 - 17*x^6 + 78*x^5 + 25*x^4 - 70*x^3 + 4*x^2 + 19*x - 5 (9)
Real ramification: [1, 2, 3, 4, 5, 6, 8]
Finite ramification: [[3, [-1, 1, 0, 0, 1, -1, 1, -1, 1, -1, 0, 0, 1, -1]~, 2, 2, [2, 2, 2, 2, 3, 1, 3, 3, 1, 1, 3, 2, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2817(-3,2) 

Field minimum poly (root): x^14 - 7*x^12 - x^11 + 20*x^10 + 4*x^9 - 25*x^8 - 9*x^7 + 12*x^6 + 10*x^5 + 2*x^4 - 7*x^3 - 4*x^2 + 2*x + 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m229(2,3)* 

Field minimum poly (root): x^14 - 9*x^12 + 33*x^10 - x^9 - 63*x^8 + 8*x^7 + 66*x^6 - 21*x^5 - 38*x^4 + 19*x^3 + 13*x^2 - 2*x - 1 (11)
Real ramification: [1, 2, 3, 4, 5, 6, 8]
Finite ramification: [[13, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -2, 5, -4, 6, 4, -1, 3, 4, -6, 0, 0, -3, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m026(-5,1) 

Field minimum poly (root): x^14 - x^13 + 3*x^12 - 3*x^11 + 3*x^10 - 6*x^9 - 2*x^8 - 7*x^7 - 4*x^6 + 2*x^5 + 5*x^4 + 8*x^3 + x^2 - 3*x - 1 (7)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[103, [43, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-11, 3, -47, -50, 30, -29, -35, 4, 44, 31, -15, 40, -46, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s890(5,1) 

Field minimum poly (root): x^14 - x^13 - 10*x^12 + 9*x^11 + 39*x^10 - 31*x^9 - 79*x^8 + 53*x^7 + 93*x^6 - 49*x^5 - 61*x^4 + 23*x^3 + 20*x^2 - 4*x - 1 (8)
Real ramification: [1, 2, 3, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1]~, 4, 2, [2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0]~], [2, [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3374(-2,3)* 

Field minimum poly (root): x^14 - x^13 - 2*x^12 + 2*x^11 - 6*x^10 + 7*x^9 + 7*x^8 - 9*x^7 + 10*x^6 - 9*x^5 - 6*x^4 + 9*x^3 - 3*x^2 + 2*x - 1 (6)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[197, [92, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, 50, 52, 21, -41, -43, 67, 80, -81, 34, 98, -31, 11, 2]~], [727, [-13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [347, 75, 246, -94, 273, 1, -1, 36, -205, -252, -354, 308, 24, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s643(-4,3) 

Field minimum poly (root): x^14 - x^13 - 2*x^12 + 3*x^11 - 3*x^10 + 3*x^8 + 2*x^7 - 9*x^5 + 4*x^4 + 8*x^3 - 4*x^2 - 2*x + 1 (9)
Real ramification: [1, 3, 4, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m034(-1,3) 

Field minimum poly (root): x^14 - x^13 - 2*x^12 + 5*x^11 + 8*x^8 - 17*x^7 - 15*x^6 + 5*x^5 - 12*x^4 + 27*x^2 + 13*x - 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3308(3,1) 

Field minimum poly (root): x^14 - x^13 - 2*x^12 + 7*x^11 - 10*x^10 - 2*x^9 + 9*x^8 + 6*x^7 + x^6 - 12*x^5 - 7*x^4 + 7*x^3 + 6*x^2 - x - 1 (9)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0]~], [41, [8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-18, 8, -9, -2, -20, 7, -12, 20, 2, 8, 7, -10, 20, 9]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2166(-5,1) 

Field minimum poly (root): x^14 - x^13 - 3*x^12 + 6*x^11 + x^10 - 5*x^9 - 4*x^8 - x^7 + 13*x^6 - 6*x^5 + 3*x^4 - x^3 - 6*x^2 + 5*x - 1 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2772(-3,1)* 

Field minimum poly (root): x^14 - x^13 - 4*x^12 + 2*x^11 + 3*x^10 + x^9 + 3*x^8 + 4*x^5 - 9*x^3 - 3*x^2 + 3*x + 1 (9)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 2, [1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0]~], [3, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, -1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m352(-4,1)* 

Field minimum poly (root): x^14 - x^13 - 4*x^12 + 2*x^11 + 5*x^10 + 3*x^9 - 5*x^8 - 10*x^7 + 11*x^6 + 11*x^5 - 10*x^4 - 3*x^3 + 7*x^2 + x - 1 (8)
Real ramification: [1, 3, 4, 5, 6]
Finite ramification: [[2663, [-1094, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1283, -214, 334, -150, -873, -442, 567, 107, 704, -466, -125, 49, 1096, 89]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s552(-4,1)* 

Field minimum poly (root): x^14 - x^13 - 4*x^12 + 3*x^11 + 2*x^10 - 4*x^9 + 5*x^8 + 7*x^7 - x^6 - 10*x^5 - 4*x^4 + 5*x^3 + x^2 - 1 (10)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[1627, [380, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [441, -759, 2, 304, 787, 45, 762, -580, 708, -19, 501, -27, -381, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3158(-3,2)* 

Field minimum poly (root): x^14 - x^13 - 4*x^12 + 6*x^11 - 6*x^9 + 10*x^8 - 8*x^7 - 4*x^6 + 6*x^5 + 3*x^4 - 3*x^3 + 4*x^2 - 2*x - 1 (9)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s616(-2,3)* 

Field minimum poly (root): x^14 - x^13 - 4*x^12 - 2*x^11 + 13*x^9 + 22*x^8 + 23*x^7 + 19*x^6 + 6*x^5 - 5*x^4 - 9*x^3 - 8*x^2 - 5*x - 1 (8)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s885(1,4) 

Field minimum poly (root): x^14 - x^13 - 4*x^12 - 6*x^11 + 6*x^10 + 22*x^9 + 22*x^8 - 4*x^7 - 35*x^6 - 35*x^5 - 10*x^4 + 14*x^3 + 17*x^2 + 7*x + 1 (11)
Real ramification: [1, 2, 3, 5, 6, 7, 8]
Finite ramification: [[367, [98, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-176, 88, 18, -30, 150, -103, 143, 182, -99, -10, 120, 156, -99, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2716(-1,2) 

Field minimum poly (root): x^14 - x^13 - 5*x^12 + 4*x^11 + 12*x^10 - 8*x^9 - 19*x^8 + 10*x^7 + 19*x^6 - 8*x^5 - 14*x^4 + 3*x^3 + 7*x^2 - x - 1 (7)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[37, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-16, 18, 9, 15, 17, 7, 7, 11, 1, 4, 17, 14, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3266(3,1) 

Field minimum poly (root): x^14 - x^13 - 7*x^12 + 14*x^11 + 10*x^10 - 41*x^9 + 19*x^8 + 30*x^7 - 21*x^6 - 9*x^5 + 13*x^4 + 4*x^3 + 2*x^2 + 3*x - 1 (9)
Real ramification: [1, 2, 4]
Finite ramification: [[167, [62, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-54, -58, 82, -71, 26, -22, 6, 28, -54, -18, 60, -58, -12, 64]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3526(5,1)* 

Field minimum poly (root): x^14 - x^13 - 7*x^12 + 6*x^11 + 19*x^10 - 13*x^9 - 29*x^8 + 15*x^7 + 28*x^6 - 11*x^5 - 15*x^4 + 4*x^3 + 7*x^2 + 2*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[43, [-14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [21, -21, 6, 8, 8, -17, -5, 0, -19, 12, -2, 14, -7, -4]~], [89, [12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 33, -41, -14, 26, -9, -14, 1, -17, -8, 42, -44, 7, 12]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s763(-4,1)* 

Field minimum poly (root): x^14 - x^13 - 7*x^12 + 8*x^11 + 16*x^10 - 26*x^9 - 3*x^8 + 31*x^7 - 26*x^6 - 3*x^5 + 21*x^4 - 14*x^3 - x^2 + 4*x - 1 (11)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m289(8,1)* 

Field minimum poly (root): x^14 - x^13 - 7*x^12 + 8*x^11 + 21*x^10 - 25*x^9 - 33*x^8 + 33*x^7 + 31*x^6 - 13*x^5 - 22*x^4 - 2*x^3 + 9*x^2 - 1 (9)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m322(-1,3) 

Field minimum poly (root): x^14 - x^13 - 8*x^12 + 10*x^11 + 23*x^10 - 38*x^9 - 19*x^8 + 67*x^7 - 33*x^6 - 55*x^5 + 67*x^4 + 18*x^3 - 27*x^2 + 2*x + 1 (9)
Real ramification: [2, 4, 5, 6, 7]
Finite ramification: [[13, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 2, 5, 2, -4, -3, -3, -1, -6, -5, -6, 5, 6, -1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s699(4,1) 

Field minimum poly (root): x^14 - x^13 - 8*x^12 + 10*x^11 + 23*x^10 - 38*x^9 - 19*x^8 + 67*x^7 - 33*x^6 - 55*x^5 + 67*x^4 + 18*x^3 - 27*x^2 + 2*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6, 7]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 0/0
Manifolds: s698(4,1) 

Field minimum poly (root): x^14 - x^13 - 9*x^12 + 11*x^11 + 29*x^10 - 43*x^9 - 34*x^8 + 70*x^7 - 7*x^6 - 30*x^5 + 31*x^4 - 25*x^3 + 3*x^2 + 4*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v1030(-5,1) 

Field minimum poly (root): x^14 - x^13 - 9*x^12 + 13*x^11 + 27*x^10 - 56*x^9 - 25*x^8 + 101*x^7 - 18*x^6 - 80*x^5 + 36*x^4 + 26*x^3 - 15*x^2 - 3*x + 1 (10)
Real ramification: [2, 3, 5, 8]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1]~], [2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2914(3,2) 

Field minimum poly (root): x^14 - x^13 - 9*x^12 + 8*x^11 + 30*x^10 - 25*x^9 - 46*x^8 + 41*x^7 + 35*x^6 - 40*x^5 - 17*x^4 + 22*x^3 + 6*x^2 - 5*x - 1 (11)
Real ramification: [1, 2, 3, 5, 7, 8, 9]
Finite ramification: [[131, [39, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [47, -45, -39, 15, 63, -6, 38, -10, -11, 3, 41, -21, -40, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m279(-2,3)* 

Field minimum poly (root): x^14 - x^13 - 9*x^12 + 8*x^11 + 32*x^10 - 24*x^9 - 56*x^8 + 34*x^7 + 48*x^6 - 24*x^5 - 16*x^4 + 12*x^3 - x^2 - 9*x + 1 (5)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1]~, 2, 2, [2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0]~], [2, [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1]~, 3, 2, [1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m343(1,3)* 

Field minimum poly (root): x^14 - x^13 - x^12 - 4*x^11 + 9*x^9 + 24*x^8 + 8*x^7 - 17*x^6 - 50*x^5 - 27*x^4 + 23*x^3 + 27*x^2 + 9*x + 1 (9)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m162(6,1) 

Field minimum poly (root): x^15 - 11*x^13 - x^12 + 49*x^11 + 5*x^10 - 113*x^9 - 9*x^8 + 137*x^7 - 3*x^6 - 88*x^5 + 13*x^4 + 29*x^3 - 7*x^2 - 4*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1313(-4,1)* 

Field minimum poly (root): x^15 - 2*x^14 + 2*x^13 - 6*x^12 + 2*x^11 - 8*x^10 + 6*x^9 - 17*x^8 + 22*x^6 - 25*x^5 - 2*x^4 + 17*x^3 - 4*x^2 - 3*x + 1 (11)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3356(5,1)* 

Field minimum poly (root): x^15 - 2*x^14 + 5*x^13 - 8*x^12 + 8*x^11 - 8*x^10 + 5*x^8 - 11*x^7 + 11*x^6 - 5*x^5 + 2*x^4 + 4*x^3 - 2*x^2 + x + 1 (5)
Real ramification: [1, 2, 3]
Finite ramification: [[107, [39, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, -3, 11, 30, 13, 16, 52, -51, -26, -35, -24, 31, -1, -41, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2728(-4,1) 

Field minimum poly (root): x^15 - 2*x^14 - 10*x^13 + 18*x^12 + 43*x^11 - 62*x^10 - 105*x^9 + 100*x^8 + 147*x^7 - 54*x^6 - 106*x^5 - 38*x^4 + 27*x^3 + 36*x^2 + 11*x - 2 (9)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 3, 1, [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1]~], [2, [1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0]~, 5, 1, [2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3102(1,4) 

Field minimum poly (root): x^15 - 2*x^14 - 2*x^13 + 12*x^12 - 8*x^11 - 25*x^10 + 35*x^9 + 23*x^8 - 52*x^7 - 3*x^6 + 41*x^5 - 9*x^4 - 15*x^3 + 6*x^2 + 2*x - 1 (7)
Real ramification: [1, 2]
Finite ramification: [[3, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, -1, -1, -1, -1, -1, 1, 1, 0, 1, -1, 0, 0, -1, 1]~], [29, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 9, 13, -11, -1, -6, -3, -12, -8, 2, -2, -13, 11, -10, -6]~], [29, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, 9, -10, 6, 6, 6, -13, -7, -4, 12, -13, -5, -9, -12, -6]~], [59, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [18, 3, -29, -2, 13, 13, -22, -16, 15, -6, -25, 12, -17, 18, 18]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s813(-4,1) 

Field minimum poly (root): x^15 - 2*x^14 - 3*x^13 + 5*x^12 - 5*x^11 + 6*x^10 + 35*x^9 - 17*x^8 - 50*x^7 + 9*x^6 + 29*x^5 - x^4 - 5*x^3 - 2*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3409(3,1) 

Field minimum poly (root): x^15 - 2*x^14 - 3*x^13 + 7*x^12 - 4*x^11 - x^10 + 19*x^9 - 12*x^8 - 11*x^7 + x^6 - 9*x^5 + 4*x^4 + 5*x^3 + 3*x^2 + 2*x + 1 (9)
Real ramification: [1, 2, 4, 5, 7]
Finite ramification: [[5, [-2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [2, 1, -2, 1, -2, -2, -1, 1, -1, 0, 0, 2, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2200(-1,4) 

Field minimum poly (root): x^15 - 2*x^14 - 4*x^13 + 12*x^12 - x^11 - 28*x^10 + 23*x^9 + 36*x^8 - 37*x^7 - 31*x^6 + 28*x^5 + 20*x^4 - 12*x^3 - 7*x^2 + 2*x + 1 (10)
Real ramification: [1, 2, 5, 6, 7, 8, 9]
Finite ramification: [[283, [-23, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [123, 116, -130, 81, 138, 54, 16, -10, -2, -38, 98, -8, -87, 21, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m180(-4,3)* 

Field minimum poly (root): x^15 - 2*x^14 - 7*x^13 + 17*x^12 + 15*x^11 - 54*x^10 - x^9 + 77*x^8 - 39*x^7 - 36*x^6 + 51*x^5 - 21*x^4 - 18*x^3 + 20*x^2 - 3*x - 1 (8)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1143(4,3)* 

Field minimum poly (root): x^15 - 2*x^14 - 8*x^13 + 16*x^12 + 21*x^11 - 44*x^10 - 14*x^9 + 43*x^8 - 18*x^7 + 4*x^6 + 17*x^5 - 20*x^4 + 7*x^3 - x^2 - 2*x + 1 (11)
Real ramification: [1, 2, 3, 4, 5, 7, 8, 9]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2553(-3,2)* 

Field minimum poly (root): x^15 - 2*x^14 - 8*x^13 + 20*x^12 + 20*x^11 - 76*x^10 - 9*x^9 + 143*x^8 - 35*x^7 - 148*x^6 + 61*x^5 + 88*x^4 - 44*x^3 - 23*x^2 + 14*x - 1 (11)
Real ramification: [1, 2, 3, 4, 7, 8, 9]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s903(1,3) 

Field minimum poly (root): x^15 - 2*x^14 - 9*x^13 + 15*x^12 + 36*x^11 - 35*x^10 - 94*x^9 + 13*x^8 + 173*x^7 + 49*x^6 - 187*x^5 - 51*x^4 + 88*x^3 + 10*x^2 - 12*x + 1 (13)
Real ramification: [1, 3, 4, 5, 6, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3352(-4,1) 

Field minimum poly (root): x^15 - 2*x^14 - 9*x^13 + 16*x^12 + 34*x^11 - 48*x^10 - 70*x^9 + 63*x^8 + 89*x^7 - 17*x^6 - 70*x^5 - 36*x^4 + 29*x^3 + 25*x^2 - 4*x - 2 (8)
Real ramification: [2, 3, 4, 5, 6, 7]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1]~], [5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 2, -2, 0, -1, 2, 1, 0, -1, -2, 0, -1, 2, -1, 2]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s903(4,3)* 

Field minimum poly (root): x^15 - 2*x^14 - 9*x^13 + 18*x^12 + 32*x^11 - 62*x^10 - 56*x^9 + 93*x^8 + 57*x^7 - 41*x^6 - 58*x^5 - 17*x^4 + 49*x^3 + 2*x^2 - 7*x - 1 (12)
Real ramification: [2, 3, 5, 6, 8, 9]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m232(-4,3) 

Field minimum poly (root): x^15 - 2*x^14 - 9*x^13 + 18*x^12 + 32*x^11 - 65*x^10 - 61*x^9 + 122*x^8 + 75*x^7 - 125*x^6 - 68*x^5 + 65*x^4 + 40*x^3 - 8*x^2 - 10*x - 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s746(-2,3)* 

Field minimum poly (root): x^15 - 2*x^14 - x^13 + 2*x^12 + x^11 - 4*x^10 + x^9 + 11*x^8 - 8*x^7 - 2*x^6 + 6*x^5 - 2*x^4 - 3*x^3 - 2*x^2 + 4*x - 1 (10)
Real ramification: [1, 2, 4, 6]
Finite ramification: [[13, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -3, -3, 1, 1, -1, 4, 1, 6, 0, 0, 1, -5, -3, 2]~], [19, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [8, -4, 8, 1, 7, 8, 2, 8, -9, 4, -5, 4, 2, 0, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m216(5,1)* 

Field minimum poly (root): x^15 - 2*x^14 - x^13 + 4*x^12 - 5*x^11 + 4*x^10 - x^9 - x^8 + 10*x^7 - 10*x^6 + 9*x^5 - 5*x^4 - 7*x^3 + 3*x^2 - 5*x + 1 (11)
Real ramification: [1, 3, 4, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3261(5,1) 

Field minimum poly (root): x^15 - 3*x^12 - x^11 - 9*x^10 - 6*x^9 - 6*x^8 - 11*x^7 - x^6 - 5*x^5 + x^4 + 2*x^3 + 2*x - 1 (10)
Real ramification: [2, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m345(-4,1) 

Field minimum poly (root): x^15 - 3*x^13 - 3*x^12 + 4*x^11 + 7*x^10 + x^9 - 8*x^8 - 6*x^7 + 7*x^6 + 6*x^5 - 9*x^4 - 7*x^3 + 5*x^2 + 5*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[17581, [-7942, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-371, 1996, -6580, -5154, -8724, -1561, 7280, 8608, -6276, 1593, -6026, -5464, -5364, 7952, 373]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m081(-1,3)* 

Field minimum poly (root): x^15 - 3*x^14 + 2*x^13 + 2*x^12 - 10*x^11 + 5*x^10 + 22*x^9 - 20*x^8 - 4*x^7 + 28*x^6 - 24*x^5 - 12*x^4 + 19*x^3 - x^2 - 4*x + 1 (11)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m195(2,3)* 

Field minimum poly (root): x^15 - 3*x^14 + 3*x^12 - 5*x^9 + 9*x^8 + 2*x^7 - 5*x^6 - x^5 - 8*x^4 + 5*x^3 + 3*x^2 - 3*x + 1 (11)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s652(-4,1)* 

Field minimum poly (root): x^15 - 3*x^14 - 3*x^13 + 12*x^12 + 17*x^11 - 57*x^10 + 91*x^8 - 49*x^7 - 45*x^6 + 48*x^5 - 8*x^4 - 16*x^3 + 11*x^2 + 3*x - 1 (12)
Real ramification: [2, 3, 4, 5, 8, 9]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s165(-1,4)* 

Field minimum poly (root): x^15 - 3*x^14 - 3*x^13 + 5*x^12 + 19*x^11 + 9*x^10 - 32*x^9 - 55*x^8 - 23*x^7 + 46*x^6 + 77*x^5 + 44*x^4 - 7*x^3 - 30*x^2 - 19*x - 4 (10)
Real ramification: [3, 4, 5, 6, 7, 8, 9]
Finite ramification: [[2, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2050(-3,2)* 

Field minimum poly (root): x^15 - 3*x^14 - 6*x^13 + 23*x^12 + 12*x^11 - 66*x^10 - 15*x^9 + 92*x^8 + 26*x^7 - 66*x^6 - 30*x^5 + 19*x^4 + 14*x^3 + x^2 - 2*x - 1 (10)
Real ramification: [1, 2, 4, 5, 6, 8, 9]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, 2, -1, 0, 0, -2, 1, 2, 1, 1, 2, 2, -1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m239(5,2)* 

Field minimum poly (root): x^15 - 3*x^14 - 8*x^13 + 29*x^12 + 20*x^11 - 104*x^10 - 14*x^9 + 173*x^8 + 3*x^7 - 145*x^6 - 27*x^5 + 76*x^4 + 27*x^3 - 29*x^2 - 3*x + 3 (13)
Real ramification: [1, 2, 3, 4, 6, 7, 8, 10, 11]
Finite ramification: [[3, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 1, 0, -1, 0, -1, 1, 1, -1, -1, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s899(-3,2)* 

Field minimum poly (root): x^15 - 3*x^14 - x^13 + 14*x^12 - 13*x^11 - 16*x^10 + 32*x^9 - 3*x^8 - 21*x^7 + 2*x^6 + 11*x^5 + 9*x^4 - 17*x^3 + 3*x^2 + 4*x - 1 (9)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5683, [2666, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [542, -2158, -1125, -27, -1984, -2574, 1984, 396, 1799, -451, 203, -356, 90, 694, 12]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s256(5,1)* 

Field minimum poly (root): x^15 - 3*x^14 - x^13 + 8*x^12 + 4*x^11 - 18*x^10 - 9*x^9 + 33*x^8 + 4*x^7 - 27*x^6 - 12*x^5 + 27*x^4 + x^3 - 12*x^2 + 2*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[19, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 9, 3, 3, -5, 8, 4, -7, 7, -7, -7, 2, -9, 2, -8]~], [109, [-34, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [12, 2, 29, -42, 50, -12, -2, -28, 27, 51, -30, -21, 8, -15, 21]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m336(-4,1)* 

Field minimum poly (root): x^15 - 4*x^13 - 2*x^12 + 11*x^10 + 8*x^9 - 6*x^8 - 6*x^7 - 10*x^6 + 4*x^5 + 5*x^4 - 6*x^3 - 2*x^2 - x - 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6, 7]
Finite ramification: [[739, [-12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [310, -161, -313, -215, -20, -129, 80, 165, -93, 17, 188, 190, 164, -28, 81]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m171(-2,3)* 

Field minimum poly (root): x^15 - 4*x^14 + 19*x^12 - 12*x^11 - 44*x^10 + 35*x^9 + 65*x^8 - 49*x^7 - 63*x^6 + 40*x^5 + 37*x^4 - 20*x^3 - 10*x^2 + 7*x - 1 (6)
Real ramification: [2, 3]
Finite ramification: [[2, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 2, [2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0]~], [3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-1, 1, 0, 1, -1, 0, -1, 0, 1, 1, 0, 0, 0, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1676(6,1) 

Field minimum poly (root): x^15 - 4*x^14 + 5*x^13 - 5*x^12 + 11*x^11 - 7*x^10 - 22*x^9 + 76*x^8 - 143*x^7 + 161*x^6 - 118*x^5 + 57*x^4 - 14*x^2 + 2*x + 1 (10)
Real ramification: [1, 3, 5, 6, 8, 9]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2265(-2,3)* 

Field minimum poly (root): x^15 - 4*x^14 + 6*x^13 - 4*x^12 - 2*x^11 + 7*x^10 - 11*x^9 + 13*x^8 + 3*x^7 - 19*x^6 + 14*x^5 + 7*x^4 - 16*x^3 - 2*x^2 + 5*x + 1 (10)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3310(6,1) 

Field minimum poly (root): x^15 - 4*x^14 - 2*x^13 + 23*x^12 - 10*x^11 - 52*x^10 + 49*x^9 + 55*x^8 - 82*x^7 - 16*x^6 + 64*x^5 - 13*x^4 - 20*x^3 + 8*x^2 + 2*x - 1 (10)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1373(5,1) 

Field minimum poly (root): x^15 - 4*x^14 - 2*x^13 + 24*x^12 - 8*x^11 - 66*x^10 + 43*x^9 + 105*x^8 - 89*x^7 - 106*x^6 + 106*x^5 + 73*x^4 - 73*x^3 - 39*x^2 + 23*x + 13 (6)
Real ramification: [2, 3, 4]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 3, -2, -1, -3, 2, 0, 0, 2, 3, -3, -1, -3]~], [31, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [13, 0, -13, -7, -9, 5, -13, -11, 3, 10, -8, -14, 7, -8, 4]~], [71, [25, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [21, 29, -31, -22, 33, 18, 6, -32, 16, 19, 6, -31, -19, 26, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2231(4,3)* 

Field minimum poly (root): x^15 - 4*x^14 - 3*x^13 + 28*x^12 - 5*x^11 - 82*x^10 + 21*x^9 + 145*x^8 - 9*x^7 - 165*x^6 - 39*x^5 + 111*x^4 + 57*x^3 - 30*x^2 - 25*x - 2 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s489(6,1) 

Field minimum poly (root): x^15 - 4*x^14 - 3*x^13 + 31*x^12 - 20*x^11 - 81*x^10 + 112*x^9 + 53*x^8 - 172*x^7 + 70*x^6 + 56*x^5 - 75*x^4 + 42*x^3 - 2*x^2 - 8*x - 1 (11)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1448(4,1)* 

Field minimum poly (root): x^15 - 4*x^14 - 5*x^13 + 35*x^12 - x^11 - 123*x^10 + 46*x^9 + 238*x^8 - 114*x^7 - 283*x^6 + 128*x^5 + 206*x^4 - 67*x^3 - 76*x^2 + 15*x + 9 (11)
Real ramification: [1, 3, 4, 6, 7, 8]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0]~], [2, [0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0]~, 1, 3, [1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s751(6,1)* 

Field minimum poly (root): x^15 - 5*x^14 + 3*x^13 + 17*x^12 - 19*x^11 - 13*x^10 + 13*x^9 - 10*x^8 + 10*x^7 + 37*x^6 + 7*x^5 - 38*x^4 - 35*x^3 + 3*x^2 + 21*x + 9 (11)
Real ramification: [1, 2, 4, 5, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v1125(4,1) 

Field minimum poly (root): x^15 - 5*x^14 + 34*x^12 - 31*x^11 - 86*x^10 + 106*x^9 + 97*x^8 - 131*x^7 - 22*x^6 + 22*x^5 - 64*x^4 + 102*x^3 + 36*x^2 - 72*x + 18 (10)
Real ramification: [2, 3, 4, 5, 6]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 7, 1, [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3452(-6,1) 

Field minimum poly (root): x^15 - 5*x^14 + 4*x^13 + 19*x^12 - 46*x^11 + 23*x^10 + 49*x^9 - 84*x^8 + 18*x^7 + 74*x^6 - 46*x^5 - 38*x^4 + 15*x^3 + 14*x^2 + 5*x + 1 (12)
Real ramification: [2, 3, 4, 5, 6, 9]
Finite ramification: [[2, [0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0]~, 2, 2, [1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 2, 2, -1, 2, 1, 1, -1, -2, 2, 0, -1, -1, -1, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s823(-5,1)* 

Field minimum poly (root): x^15 - 5*x^14 + 6*x^13 + 8*x^12 - 24*x^11 + 11*x^10 + 28*x^9 - 42*x^8 - 8*x^7 + 61*x^6 - 45*x^5 - 9*x^4 + 42*x^3 - 20*x^2 - 10*x + 5 (8)
Real ramification: [2, 4, 5, 6, 7]
Finite ramification: [[5, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1]~, 1, 2, [3, 2, 4, 2, 5, 5, 1, 2, 1, 5, 4, 1, 5, 4, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2221(5,1) 

Field minimum poly (root): x^15 - 5*x^14 + 8*x^13 + 3*x^12 - 30*x^11 + 45*x^10 - 18*x^9 - 35*x^8 + 61*x^7 - 39*x^6 - x^5 + 18*x^4 - 16*x^3 + 9*x^2 - 3*x + 1 (8)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, -1, 2, -1, -2, 1, 2, 2, -1, 0, 2, -2, -1, 2]~], [53, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-26, -23, -10, -21, -1, -18, -18, 18, -8, -25, 23, 6, 6, -12, 13]~], [607, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-241, 130, 105, -90, 248, -65, -96, -227, 178, -70, -102, -155, -61, -209, -170]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m259(-4,1) 

Field minimum poly (root): x^15 - 5*x^14 + x^13 + 24*x^12 - 8*x^11 - 68*x^10 + 8*x^9 + 118*x^8 + 19*x^7 - 120*x^6 - 49*x^5 + 62*x^4 + 39*x^3 - 10*x^2 - 10*x - 1 (8)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3428(5,1) 

Field minimum poly (root): x^15 - 6*x^13 - x^12 + 10*x^11 + 4*x^10 + x^9 - 2*x^8 - 11*x^7 + 2*x^6 - 6*x^5 - 23*x^4 + 18*x^3 + 28*x^2 - 8*x - 8 (9)
Real ramification: [2, 3, 5, 6, 7]
Finite ramification: [[353, [-123, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-64, -28, -72, -110, 12, -124, 65, -162, 32, -10, -20, -70, 53, 32, 12]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3259(-4,1)* 

Field minimum poly (root): x^15 - 6*x^14 + 10*x^13 + 10*x^12 - 47*x^11 + 17*x^10 + 88*x^9 - 73*x^8 - 95*x^7 + 102*x^6 + 66*x^5 - 73*x^4 - 27*x^3 + 28*x^2 + 5*x - 5 (6)
Real ramification: [1, 2, 3]
Finite ramification: [[7, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, -1, -3, 3, -3, 0, -2, 0, 0, -2, 0, -1, 3, -2, -2]~], [11, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [5, -2, 4, -5, -5, -3, 1, -5, -2, 3, 5, -2, 3, 5, -3]~], [83, [26, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [11, 34, 28, 17, -19, -18, -29, -13, 10, 13, -6, 36, 13, -23, 19]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3273(-2,3)* 

Field minimum poly (root): x^15 - 6*x^14 + 11*x^13 - 19*x^11 + 7*x^10 + 19*x^9 - 2*x^8 - 15*x^7 - 3*x^6 + 3*x^5 - 2*x^4 - 4*x^3 + 4*x + 2 (8)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 5, 1, [0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0]~], [2, [1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0]~, 1, 2, [2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s626(-5,1)* 

Field minimum poly (root): x^15 - 6*x^14 + 12*x^13 - 2*x^12 - 28*x^11 + 42*x^10 - 13*x^9 - 30*x^8 + 46*x^7 - 26*x^6 - 11*x^5 + 29*x^4 - 13*x^3 - 7*x^2 + 6*x + 1 (11)
Real ramification: [2, 3, 4, 5, 6, 7]
Finite ramification: [[11, [9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, -2, 5, 3, -3, 1, -3, -1, 3, 1, -1, 3, 2, 4, 1]~], [53, [-15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-24, 17, -23, -8, 7, -11, -8, -1, 4, 3, -20, -4, -3, -25, 14]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m326(-4,1) 

Field minimum poly (root): x^15 - 6*x^14 + 6*x^13 + 27*x^12 - 53*x^11 - 39*x^10 + 136*x^9 - 4*x^8 - 161*x^7 + 90*x^6 + 44*x^5 - 76*x^4 + 50*x^3 - 25*x^2 + 10*x - 2 (10)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1]~], [17, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [-2, -5, -3, 2, 7, 3, 2, 7, 6, -6, 1, -3, -4, -7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2308(2,3) 

Field minimum poly (root): x^15 - 6*x^14 + 9*x^13 + 13*x^12 - 46*x^11 + 11*x^10 + 80*x^9 - 68*x^8 - 55*x^7 + 87*x^6 - x^5 - 39*x^4 + 8*x^3 + 6*x^2 - 3*x - 1 (11)
Real ramification: [2, 3, 4, 6, 7]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1]~], [5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -2, -2, 0, 1, -2, -1, 1, 1, -1, 2, 2, 1, -2, 1]~], [5, [-1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 0, 0, 2, -2, -1, -1, 2, 1, -1, -2, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s801(5,1)* 

Field minimum poly (root): x^15 - 6*x^14 + 9*x^13 + 13*x^12 - 48*x^11 + 21*x^10 + 68*x^9 - 83*x^8 - 15*x^7 + 78*x^6 - 34*x^5 - 22*x^4 + 21*x^3 - 6*x - 1 (11)
Real ramification: [2, 3, 4, 6, 7]
Finite ramification: [[2, [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1]~, 3, 1, [1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3346(-1,2)* 

Field minimum poly (root): x^15 - 7*x^14 + 12*x^13 + 20*x^12 - 72*x^11 - 5*x^10 + 168*x^9 - 54*x^8 - 225*x^7 + 130*x^6 + 132*x^5 - 104*x^4 - 4*x^3 + 6*x^2 + 4*x - 1 (11)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v3390(-1,3)* 

Field minimum poly (root): x^15 - 7*x^14 + 13*x^13 + 11*x^12 - 49*x^11 - 5*x^10 + 104*x^9 - 24*x^8 - 139*x^7 + 77*x^6 + 89*x^5 - 74*x^4 - 22*x^3 + 24*x^2 + 3*x - 1 (11)
Real ramification: [2, 3, 4, 5, 6, 7, 8, 9]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m372(-3,2) 

Field minimum poly (root): x^15 - 7*x^14 + 14*x^13 + 9*x^12 - 61*x^11 + 34*x^10 + 93*x^9 - 106*x^8 - 48*x^7 + 116*x^6 - 20*x^5 - 56*x^4 + 30*x^3 + 7*x^2 - 9*x + 2 (9)
Real ramification: [1, 3, 4, 5]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3346(6,1) 

Field minimum poly (root): x^15 - 9*x^13 + 31*x^11 - 50*x^9 - x^8 + 39*x^7 + 7*x^6 - 22*x^5 - 15*x^4 + 18*x^3 + 10*x^2 - 4*x - 1 (11)
Real ramification: [2, 3, 4, 5, 7]
Finite ramification: [[2, [0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1]~, 3, 1, [1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m290(4,1)* 

Field minimum poly (root): x^15 - x^12 - 5*x^11 - 2*x^9 + 3*x^8 + 7*x^7 - x^6 + 4*x^5 - 3*x^4 - 2*x^3 + x^2 - 2*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s911(-1,3)* 

Field minimum poly (root): x^15 - x^13 - 2*x^12 + 2*x^10 - 4*x^9 - 10*x^8 + 9*x^7 + 30*x^6 - 6*x^5 - 27*x^4 + x^3 + 9*x^2 - 1 (9)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2335(-3,2) 

Field minimum poly (root): x^15 - x^13 - 2*x^12 - 2*x^11 + 2*x^10 + 3*x^9 + 2*x^8 + 6*x^7 - 2*x^5 + 3*x^4 - 3*x^3 - 4*x^2 + x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 2, 1, 2, -2, -1, -1, 1, 2, 2, 2, 0, 2, -1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2715(-1,3)* 

Field minimum poly (root): x^15 - x^14 + 2*x^13 - 3*x^12 + 5*x^11 - 3*x^10 + 5*x^9 - x^7 + 6*x^6 - 3*x^5 + 4*x^4 + x^3 - 5*x^2 + 1 (9)
Real ramification: [1, 2, 3, 4]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m346(4,1) 

Field minimum poly (root): x^15 - x^14 + 2*x^13 - x^11 + 4*x^10 - 8*x^9 + 2*x^8 - 2*x^7 - 7*x^6 + 8*x^5 - 4*x^4 + 2*x^3 + 7*x^2 - x - 1 (11)
Real ramification: [1, 3, 4, 5, 6, 7]
Finite ramification: [[19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-8, 1, 6, -6, 2, -4, -6, 8, -5, 9, 7, 5, 8, -8, -4]~], [149, [-40, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, -61, -11, -7, -29, -70, 8, 34, 50, -35, -24, 27, 57, 68, 34]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2051(5,1) 

Field minimum poly (root): x^15 - x^14 + 5*x^13 - 4*x^12 + 5*x^11 - 4*x^10 - 11*x^9 + 2*x^8 - 19*x^7 + 8*x^6 + x^5 + 9*x^4 + 5*x^3 + 5*x^2 + x + 1 (5)
Real ramification: [3]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0]~], [43, [-16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-12, 2, 15, 17, 9, 5, 18, -11, -5, 9, 18, 1, -4, -14, -21]~], [71, [26, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [30, -10, -11, 12, -5, 0, -35, -32, -19, 9, -6, 7, -20, -26, 22]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2417(4,3) 

Field minimum poly (root): x^15 - x^14 + x^13 - x^12 - 5*x^11 + 4*x^10 - 10*x^9 + 6*x^8 - x^6 + 13*x^5 - 3*x^4 + 8*x^3 + 3*x^2 - 5*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6, 7]
Finite ramification: [[11, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 5, 4, 3, -2, -2, -2, 2, 3, 2, -3, 5, -5, 4, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m247(3,2)* 

Field minimum poly (root): x^15 - x^14 - 10*x^13 + 10*x^12 + 39*x^11 - 38*x^10 - 78*x^9 + 71*x^8 + 89*x^7 - 72*x^6 - 59*x^5 + 43*x^4 + 20*x^3 - 13*x^2 - 2*x + 1 (10)
Real ramification: [1, 2, 3, 4, 5, 6, 8]
Finite ramification: [[29, [-9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, 2, -8, 13, -13, -11, 10, -12, -6, 8, -11, -12, 4, 8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3129(-4,1)* 

Field minimum poly (root): x^15 - x^14 - 10*x^13 + 8*x^12 + 39*x^11 - 23*x^10 - 71*x^9 + 22*x^8 + 47*x^7 + 15*x^6 + 26*x^5 - 34*x^4 - 43*x^3 + 9*x^2 + 7*x - 1 (10)
Real ramification: [1, 3, 5, 6, 7]
Finite ramification: [[701, [-134, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-15, 214, -29, -196, -324, 42, -328, 72, -154, -139, 158, -210, 165, 145, 291]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2262(-4,1)* 

Field minimum poly (root): x^15 - x^14 - 10*x^13 + 9*x^12 + 37*x^11 - 31*x^10 - 61*x^9 + 53*x^8 + 42*x^7 - 52*x^6 - 11*x^5 + 33*x^4 + 6*x^3 - 10*x^2 - x + 1 (12)
Real ramification: [1, 2, 3, 4, 6, 8, 9, 10]
Finite ramification: [[5, [-1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 0, 0, -1, 1, 2, -1, 2, -1, 0, 1, -1, 0, 0, 1]~], [17, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 4, -1, -8, -8, 1, -5, 7, -4, 2, -6, -3, -4, 2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m259(-1,4)* 

Field minimum poly (root): x^15 - x^14 - 3*x^13 + 2*x^11 + 9*x^10 - 10*x^8 - x^7 + 7*x^6 - 6*x^5 - 11*x^4 + 9*x^3 + 7*x^2 - 3*x - 1 (11)
Real ramification: [1, 3, 4, 5, 6, 8, 9]
Finite ramification: [[41, [-16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [7, 1, -9, 3, -6, -10, 14, -8, 6, -2, 13, -7, 8, -7, 20]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s618(-4,1)* 

Field minimum poly (root): x^15 - x^14 - 3*x^13 + x^12 - x^11 + 6*x^10 + 3*x^9 - x^8 + 6*x^7 - 8*x^6 - 2*x^5 - 5*x^4 - 4*x^3 + x^2 - x + 1 (8)
Real ramification: [1, 2, 3, 4, 5, 6, 7]
Finite ramification: [[67, [-4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [5, -10, -21, -28, -4, 27, 1, 0, 32, -17, 18, -26, 28, 1, 25]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s458(-1,4)* 

Field minimum poly (root): x^15 - x^14 - 4*x^13 + 3*x^12 + 7*x^11 - 4*x^10 - 10*x^9 + 7*x^8 + 8*x^7 - 7*x^6 - x^5 + 8*x^4 - x^3 - 3*x^2 + 1 (3)
Real ramification: [1]
Finite ramification: [[2, [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1]~, 3, 1, [1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0]~], [71, [16, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [3, 14, -17, 0, 27, -21, -32, 21, 13, -13, -23, 32, 8, -26, -35]~], [241, [-111, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [29, 88, -11, -4, -58, 38, -53, -53, 13, -20, -2, -19, -117, 116, -89]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2797(3,2) 

Field minimum poly (root): x^15 - x^14 - 4*x^13 + 3*x^12 + 7*x^11 - 4*x^10 - 10*x^9 + 7*x^8 + 8*x^7 - 7*x^6 - x^5 + 8*x^4 - x^3 - 3*x^2 + 1 (3)
Real ramification: []
Finite ramification: [[991, [288, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-332, 133, 326, 67, -44, -420, -108, 333, 6, -428, 259, 420, 434, 199, -384]~], [3347, [1505, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-769, -921, 1446, -1378, -74, -720, -909, 343, -1185, -1539, -1325, -28, 1057, -1018, 1598]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v2795(3,2) 

Field minimum poly (root): x^15 - x^14 - 5*x^13 + 4*x^12 + 12*x^11 - 7*x^10 - 22*x^9 + 11*x^8 + 28*x^7 - 13*x^6 - 24*x^5 + 10*x^4 + 14*x^3 - 4*x^2 - 4*x + 1 (7)
Real ramification: [1, 2, 4]
Finite ramification: [[47, [-7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [21, -19, 8, 5, 15, -11, 17, -23, 1, -13, -17, -7, -3, 14, 7]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3491(3,4)* 

Field minimum poly (root): x^15 - x^14 - 5*x^13 + 6*x^12 + 15*x^11 - 16*x^10 - 33*x^9 + 23*x^8 + 53*x^7 - 10*x^6 - 48*x^5 - 5*x^4 + 20*x^3 + 5*x^2 - 3*x - 1 (9)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s890(1,3) 

Field minimum poly (root): x^15 - x^14 - 5*x^13 + 6*x^12 + 8*x^11 - 30*x^10 - 26*x^9 + 51*x^8 + 50*x^7 - 39*x^6 - 45*x^5 + 18*x^4 + 19*x^3 - 6*x^2 - 3*x + 1 (11)
Real ramification: [1, 2, 3, 5, 6, 7, 8, 9]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s668(-4,1)* 

Field minimum poly (root): x^15 - x^14 - 6*x^13 + 6*x^12 + 8*x^11 - 8*x^10 + 6*x^9 - 4*x^8 - 9*x^7 + 2*x^6 - 2*x^5 + 7*x^4 - 4*x^2 + 2*x + 1 (9)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: [[19, [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-6, 0, -6, -1, -6, -9, -1, 6, 5, 0, 7, -6, 7, 1, -1]~], [43, [-9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [14, 16, -4, 21, 8, 3, -15, -8, -2, -2, -20, 16, -21, 9, 5]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s572(-3,2) 

Field minimum poly (root): x^15 - x^14 - 7*x^13 + 6*x^12 + 19*x^11 - 13*x^10 - 27*x^9 + 14*x^8 + 23*x^7 - 12*x^6 - 12*x^5 + 8*x^4 + 2*x^3 - 4*x^2 - x + 1 (6)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 0, 1, -2, 0, 1, 0, 0, 1, 2, 0, -2, 1, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2536(4,1) 

Field minimum poly (root): x^15 - x^14 - 8*x^13 + 9*x^12 + 25*x^11 - 31*x^10 - 44*x^9 + 60*x^8 + 46*x^7 - 69*x^6 - 28*x^5 + 47*x^4 + 8*x^3 - 16*x^2 + x + 1 (11)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m335(-1,3) 

Field minimum poly (root): x^15 - x^14 - 9*x^13 + 11*x^12 + 33*x^11 - 46*x^10 - 66*x^9 + 101*x^8 + 68*x^7 - 120*x^6 - 28*x^5 + 69*x^4 + 2*x^3 - 15*x^2 + 1 (12)
Real ramification: [4, 5, 6, 7, 8, 9]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2813(3,1)* 

Field minimum poly (root): x^15 - x^14 - 9*x^13 + 8*x^12 + 32*x^11 - 27*x^10 - 59*x^9 + 52*x^8 + 65*x^7 - 62*x^6 - 48*x^5 + 45*x^4 + 25*x^3 - 17*x^2 - 7*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s574(-2,3)* 

Field minimum poly (root): x^16 + 2*x^14 - 3*x^13 + 2*x^12 - 7*x^11 + 2*x^10 - 4*x^8 + 11*x^7 - 9*x^6 + 3*x^5 + 3*x^4 - 5*x^3 + 6*x^2 + x - 1 (9)
Real ramification: [1, 2, 3, 5, 6]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 3, 1, [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1603(5,1)* 

Field minimum poly (root): x^16 + 3*x^14 - x^13 - 4*x^12 - 3*x^11 - 21*x^10 - 3*x^9 - 15*x^8 - 5*x^7 + 12*x^6 - 9*x^5 + 17*x^4 - 9*x^3 + 5*x^2 - 3*x + 1 (5)
Real ramification: [2, 3, 4]
Finite ramification: [[373, [155, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-80, -85, -179, -59, -36, 134, -65, 54, -162, -61, -13, 90, -102, -65, 102, -24]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1613(-4,1)* 

Field minimum poly (root): x^16 - 12*x^14 + 58*x^12 - 2*x^11 - 146*x^10 + 10*x^9 + 204*x^8 - 20*x^7 - 160*x^6 + 24*x^5 + 76*x^4 - 16*x^3 - 24*x^2 + 4*x + 4 (10)
Real ramification: [1, 2, 3, 5, 6, 7]
Finite ramification: [[3, [1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 4, [1, 0, -1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, 0, 0, 0]~], [163, [-75, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-37, 69, -77, 47, 17, -24, -46, 2, 49, -17, 58, 3, 55, -21, -13, 4]~]]
Integer traces/Arithmetic: 0/0
Manifolds: m343(3,2)* 

Field minimum poly (root): x^16 - 12*x^14 - 2*x^13 + 58*x^12 + 21*x^11 - 142*x^10 - 81*x^9 + 180*x^8 + 148*x^7 - 103*x^6 - 137*x^5 + 8*x^4 + 63*x^3 + 11*x^2 - 13*x - 1 (7)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[2, [3, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 3, [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0]~], [269, [-66, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [37, 75, -93, -81, -117, 130, -28, -34, -18, -19, 20, -105, 22, 122, 116, -55]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s755(-4,3) 

Field minimum poly (root): x^16 - 13*x^14 + 68*x^12 - x^11 - 185*x^10 + 9*x^9 + 285*x^8 - 29*x^7 - 255*x^6 + 41*x^5 + 127*x^4 - 26*x^3 - 30*x^2 + 6*x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s140(4,3)* 

Field minimum poly (root): x^16 - 14*x^14 - x^13 + 76*x^12 + 10*x^11 - 202*x^10 - 34*x^9 + 272*x^8 + 45*x^7 - 170*x^6 - 11*x^5 + 38*x^4 - 15*x^3 - 5*x^2 + 2*x + 1 (11)
Real ramification: [2, 3, 4, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2711(-3,2)* 

Field minimum poly (root): x^16 - 2*x^15 + 7*x^14 - 12*x^13 + 21*x^12 - 28*x^11 + 34*x^10 - 30*x^9 + 26*x^8 - 16*x^7 + 5*x^6 - 10*x^5 + 4*x^4 - 5*x^3 + 8*x^2 - x - 1 (6)
Real ramification: [1, 3, 4]
Finite ramification: [[17, [8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, -7, 1, -3, 0, -2, 8, -3, 7, -5, 5, -8, 3, 4, 8, 1]~], [19, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [9, -7, -2, -5, 0, -1, 5, -9, 1, -2, 9, -8, 9, 1, 2, 4]~], [227, [79, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-70, -12, 94, 53, -48, -36, 14, 56, 21, -34, -53, -46, -72, -16, 113, -90]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1276(5,1)* 

Field minimum poly (root): x^16 - 2*x^15 - 10*x^14 + 18*x^13 + 38*x^12 - 58*x^11 - 63*x^10 + 76*x^9 + 31*x^8 - 27*x^7 + 13*x^6 - 14*x^5 + 9*x^4 + 11*x^3 - 5*x^2 + 6*x - 1 (11)
Real ramification: [1, 2, 3, 4, 5, 8]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: v2971(-1,4) 

Field minimum poly (root): x^16 - 2*x^15 - 3*x^14 + 8*x^13 - 2*x^12 - 6*x^11 + 6*x^10 - x^9 + 6*x^8 - 8*x^7 + 3*x^5 - 11*x^4 + 7*x^3 - 3*x^2 + 2*x + 1 (12)
Real ramification: [1, 3, 4, 5, 7]
Finite ramification: [[2, [3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3261(5,2) 

Field minimum poly (root): x^16 - 2*x^15 - 4*x^14 + 7*x^13 + 9*x^12 - 7*x^11 - 8*x^10 - 17*x^9 - x^8 + 39*x^7 + 22*x^6 - 28*x^5 - 30*x^4 + 7*x^3 + 12*x^2 - 1 (11)
Real ramification: [3, 4, 5, 6]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3352(2,3)* 

Field minimum poly (root): x^16 - 2*x^15 - 5*x^14 + 11*x^13 + 3*x^12 - 15*x^11 + 12*x^10 - 4*x^9 - 8*x^8 + 11*x^7 - 10*x^6 + 6*x^5 - 2*x^4 - 3*x^3 + 6*x^2 - 4*x + 4 (11)
Real ramification: [1, 3, 4, 5, 6, 7, 8]
Finite ramification: [[2, [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1]~, 3, 1, [2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3304(4,1) 

Field minimum poly (root): x^16 - 2*x^15 - 9*x^14 + 16*x^13 + 31*x^12 - 46*x^11 - 54*x^10 + 60*x^9 + 55*x^8 - 44*x^7 - 35*x^6 + 32*x^5 + 10*x^4 - 20*x^3 + 4*x^2 + 3*x - 1 (13)
Real ramification: [1, 2, 5, 6, 7, 8, 9]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, 1, 0, -1, -1, 0, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3008(-6,1) 

Field minimum poly (root): x^16 - 2*x^15 - 9*x^14 + 18*x^13 + 32*x^12 - 66*x^11 - 59*x^10 + 133*x^9 + 64*x^8 - 166*x^7 - 50*x^6 + 133*x^5 + 37*x^4 - 66*x^3 - 18*x^2 + 16*x - 2 (9)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s753(2,3)* 

Field minimum poly (root): x^16 - 2*x^15 - 9*x^14 + 18*x^13 + 33*x^12 - 66*x^11 - 67*x^10 + 127*x^9 + 86*x^8 - 137*x^7 - 71*x^6 + 87*x^5 + 36*x^4 - 31*x^3 - 9*x^2 + 4*x + 1 (10)
Real ramification: [1, 2, 3, 4, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: s844(5,1) 

Field minimum poly (root): x^16 - 2*x^15 - 9*x^14 + 21*x^13 + 27*x^12 - 87*x^11 - 17*x^10 + 180*x^9 - 72*x^8 - 192*x^7 + 167*x^6 + 96*x^5 - 139*x^4 - 18*x^3 + 43*x^2 + 4*x - 1 (12)
Real ramification: [1, 4, 7, 8]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1]~], [2, [1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0]~, 1, 9, [1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2914(3,4)* 

Field minimum poly (root): x^16 - 2*x^15 - x^12 + 5*x^11 - 5*x^10 + 7*x^9 - 6*x^8 + 7*x^7 - 5*x^6 + 5*x^5 - x^4 - 2*x + 1 (7)
Real ramification: [1, 2, 4, 5]
Finite ramification: [[2, [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0]~], [41, [1, -11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [0, 9, 15, 3, 16, 13, 9, -20, 9, 13, 16, 3, 15, 9, 2, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1222(-5,1) 

Field minimum poly (root): x^16 - 3*x^14 - 2*x^13 + 5*x^12 + 9*x^11 - 7*x^10 - 15*x^9 + 21*x^7 + 9*x^6 - 24*x^5 - 12*x^4 + 12*x^3 + 6*x^2 - 2*x - 1 (11)
Real ramification: [1, 2, 3, 6, 7]
Finite ramification: [[7369, [607, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [607, 1213, 3118, -1122, -3191, 940, -2296, 1060, 2317, 676, 1917, 1223, 2426, -4, -607, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m297(2,3)* 

Field minimum poly (root): x^16 - 3*x^15 + 2*x^14 + x^13 - 7*x^12 + 21*x^11 - 15*x^10 - 32*x^9 + 49*x^8 + 22*x^7 - 55*x^6 - 18*x^5 + 44*x^4 + x^3 - 19*x^2 + 8*x - 1 (13)
Real ramification: [1, 2, 5, 6, 7, 9, 10]
Finite ramification: [[2, [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 2, [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3351(-6,1) 

Field minimum poly (root): x^16 - 3*x^15 - 6*x^14 + 23*x^13 + 11*x^12 - 64*x^11 - 13*x^10 + 85*x^9 + 37*x^8 - 70*x^7 - 52*x^6 + 27*x^5 + 33*x^4 + 17*x^3 - 31*x^2 - 3*x + 7 (10)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3091(-5,1) 

Field minimum poly (root): x^16 - 3*x^15 - 6*x^14 + 23*x^13 + 16*x^12 - 76*x^11 - 36*x^10 + 153*x^9 + 70*x^8 - 196*x^7 - 104*x^6 + 151*x^5 + 103*x^4 - 51*x^3 - 48*x^2 + 4*x + 8 (7)
Real ramification: [1, 2]
Finite ramification: [[2, [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]~, 1, 2, [2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0]~], [2, [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 5, [0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v3297(-5,1) 

Field minimum poly (root): x^16 - 3*x^15 - 7*x^14 + 25*x^13 + 20*x^12 - 86*x^11 - 31*x^10 + 153*x^9 + 29*x^8 - 135*x^7 - 21*x^6 + 35*x^5 + 19*x^4 + 16*x^3 - 13*x^2 + x - 1 (10)
Real ramification: [1, 2, 3, 4]
Finite ramification: [[2, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 4, 1, [1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1]~], [227, [-60, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-87, -62, -50, 67, -90, -21, 0, 59, -113, -12, -64, -98, 51, 8, 57, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s627(-1,4)* 

Field minimum poly (root): x^16 - 4*x^14 - 2*x^13 + x^12 + 8*x^11 + 8*x^10 - 12*x^9 - 10*x^8 + 4*x^7 + 15*x^6 + 6*x^5 - 16*x^4 - 5*x^3 + 7*x^2 + x - 1 (11)
Real ramification: [1, 2, 3, 4, 5, 6, 8, 9, 10]
Finite ramification: [[17, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-5, -8, 5, -7, -1, -5, -5, 5, -2, 8, -7, 3, 8, 7, 7, -3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m069(-2,3)* 

Field minimum poly (root): x^16 - 4*x^14 - 4*x^13 + 4*x^12 + 6*x^11 + 9*x^10 + 7*x^9 - 8*x^8 - 22*x^7 - 4*x^6 + 5*x^5 + 5*x^4 + 2*x^3 + 2*x^2 - 4*x + 1 (11)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[61, [-12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-13, 30, -17, -1, -21, 8, -4, 22, 25, 8, 20, -2, 21, 17, -22, 12]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s129(5,1) 

Field minimum poly (root): x^16 - 4*x^15 + 20*x^13 - 19*x^12 - 37*x^11 + 57*x^10 + 30*x^9 - 81*x^8 - x^7 + 67*x^6 - 21*x^5 - 29*x^4 + 19*x^3 + 4*x^2 - 6*x + 1 (10)
Real ramification: [2, 3, 6]
Finite ramification: [[41, [12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [12, -16, -7, -3, -3, -15, -20, -14, 20, -6, -2, -7, -19, -20, 11, -19]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s813(-2,3) 

Field minimum poly (root): x^16 - 4*x^15 + 4*x^14 + 9*x^13 - 36*x^12 + 55*x^11 - 39*x^10 - 9*x^9 + 52*x^8 - 50*x^7 + 11*x^6 + 21*x^5 - 19*x^4 + x^3 + 5*x^2 - 2*x - 1 (10)
Real ramification: [1, 2, 3, 4, 5, 7, 8]
Finite ramification: [[607, [285, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-164, -140, 107, 219, -184, 235, 291, -80, -204, -191, 41, -132, -38, -183, -289, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2050(-5,1)* 

Field minimum poly (root): x^16 - 4*x^15 - 4*x^14 + 31*x^13 - 5*x^12 - 96*x^11 + 57*x^10 + 146*x^9 - 139*x^8 - 102*x^7 + 170*x^6 + 10*x^5 - 113*x^4 + 26*x^3 + 34*x^2 - 12*x + 1 (9)
Real ramification: [2, 4, 5, 6, 7]
Finite ramification: [[3, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 2, 1, [1, -1, -1, 0, 1, 0, -1, 1, 1, 1, -1, 1, 0, 1, 1, 1]~], [5, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [2, 2, -1, -1, 1, -2, -1, -2, 1, 0, -1, 0, 0, 2, -2, 1]~], [41, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-10, 20, -17, -20, -13, 16, 18, 11, -17, 10, -19, -9, 1, -13, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1666(4,1)* 

Field minimum poly (root): x^16 - 4*x^15 - 4*x^14 + 32*x^13 - 6*x^12 - 104*x^11 + 56*x^10 + 188*x^9 - 129*x^8 - 208*x^7 + 152*x^6 + 148*x^5 - 99*x^4 - 72*x^3 + 28*x^2 + 24*x + 1 (7)
Real ramification: [1, 2, 3, 4, 5]
Finite ramification: [[79, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [10, 5, -7, 21, 36, -26, -1, 23, 24, 3, -23, -9, -33, -32, -8, 4]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s412(-6,1) 

Field minimum poly (root): x^16 - 4*x^15 - x^14 + 20*x^13 - 6*x^12 - 46*x^11 + 6*x^10 + 66*x^9 + 19*x^8 - 54*x^7 - 34*x^6 + 23*x^5 + 21*x^4 - 9*x^3 - 4*x^2 + 5*x - 2 (9)
Real ramification: [1, 4, 5, 7]
Finite ramification: [[2, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0]~], [2, [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]~, 1, 2, [2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v2078(5,1)* 

Field minimum poly (root): x^16 - 4*x^15 - x^14 + 27*x^13 - 28*x^12 - 63*x^11 + 133*x^10 + 26*x^9 - 237*x^8 + 124*x^7 + 160*x^6 - 168*x^5 - x^4 + 49*x^3 - 12*x^2 - 3*x + 1 (8)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2547(-7,1) 

Field minimum poly (root): x^16 - 5*x^15 + x^14 + 28*x^13 - 25*x^12 - 71*x^11 + 87*x^10 + 99*x^9 - 147*x^8 - 80*x^7 + 137*x^6 + 37*x^5 - 67*x^4 - 10*x^3 + 14*x^2 + x - 1 (11)
Real ramification: [2, 3, 5, 7, 8]
Finite ramification: [[7, [-3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, -1, 2, -3, -2, 1, -1, 3, 1, 0, -1, 0, -1, 2, -2, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1373(5,3) 

Field minimum poly (root): x^16 - 5*x^15 + x^14 + 30*x^13 - 31*x^12 - 78*x^11 + 116*x^10 + 115*x^9 - 223*x^8 - 105*x^7 + 253*x^6 + 69*x^5 - 165*x^4 - 39*x^3 + 56*x^2 + 9*x - 9 (6)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3511(-1,3) 

Field minimum poly (root): x^16 - 5*x^15 - x^14 + 40*x^13 - 36*x^12 - 122*x^11 + 162*x^10 + 208*x^9 - 322*x^8 - 243*x^7 + 357*x^6 + 209*x^5 - 216*x^4 - 119*x^3 + 56*x^2 + 31*x - 1 (9)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v3453(2,3) 

Field minimum poly (root): x^16 - 6*x^15 + 9*x^14 + 13*x^13 - 53*x^12 + 45*x^11 + 38*x^10 - 109*x^9 + 74*x^8 + 27*x^7 - 77*x^6 + 45*x^5 - 13*x^3 + 10*x^2 - 4*x + 1 (11)
Real ramification: [1, 2, 3, 4, 5, 7]
Finite ramification: [[5, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -1, 0, 1, 1, -2, 0, 1, 0, -1, 2, 0, 1, 2, 1, -1]~], [103, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [6, 44, -47, 45, 33, 46, -15, 51, 24, -19, 49, 25, -46, 37, 13, 24]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m229(-5,2)* 

Field minimum poly (root): x^16 - 7*x^15 + 16*x^14 - 7*x^13 - 28*x^12 + 52*x^11 - 22*x^10 - 44*x^9 + 60*x^8 - 12*x^7 - 35*x^6 + 28*x^5 + 7*x^4 - 11*x^3 + 3*x^2 + 5*x + 1 (11)
Real ramification: [1, 2, 3, 4, 5, 6, 7, 8]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2508(-1,2) 

Field minimum poly (root): x^16 - 7*x^15 + 18*x^14 - 15*x^13 - 19*x^12 + 54*x^11 - 52*x^10 + 31*x^9 - 4*x^8 - 49*x^7 + 87*x^6 - 50*x^5 - 17*x^4 + 31*x^3 - 2*x^2 - 7*x - 1 (12)
Real ramification: [1, 2, 3, 4, 5, 6]
Finite ramification: [[19, [-2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-9, -1, -9, -1, 8, -9, 9, -9, 7, 7, 1, 2, 1, 8, -5, 1]~], [23, [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-1, -6, 4, 4, 2, -6, 1, -4, 0, 8, 9, -1, 5, 3, -8, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: s639(5,1) s640(1,3) 

Field minimum poly (root): x^16 - 9*x^14 + 32*x^12 - 56*x^10 - x^9 + 54*x^8 + 4*x^7 - 47*x^6 - 4*x^5 + 51*x^4 - 3*x^3 - 27*x^2 + 6*x + 1 (9)
Real ramification: [1, 2, 4, 5, 6, 7]
Finite ramification: []
Integer traces/Arithmetic: 0/0
Manifolds: s734(-1,3) 

Field minimum poly (root): x^16 - x^15 - 11*x^14 + 7*x^13 + 49*x^12 - 16*x^11 - 118*x^10 - 4*x^9 + 163*x^8 + 80*x^7 - 115*x^6 - 131*x^5 + 21*x^4 + 75*x^3 + 11*x^2 - 9*x - 1 (11)
Real ramification: []
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: v2603(-4,3) 

Field minimum poly (root): x^16 - x^15 - 13*x^14 + 16*x^13 + 63*x^12 - 84*x^11 - 148*x^10 + 184*x^9 + 208*x^8 - 175*x^7 - 199*x^6 + 50*x^5 + 97*x^4 + 28*x^3 - 8*x^2 - 2*x - 1 (10)
Real ramification: [1, 2, 4]
Finite ramification: [[11, [-5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [4, 1, -2, 5, -4, 1, 2, -2, -4, 2, 3, 3, -1, 4, -4, -2]~]]
Integer traces/Arithmetic: 0/0
Manifolds: v3526(-5,1)* 

Field minimum poly (root): x^16 - x^15 - 2*x^14 + 3*x^13 - 3*x^12 - 2*x^11 + 6*x^10 + 3*x^9 - 4*x^8 - 22*x^7 + 10*x^6 + 31*x^5 - 15*x^4 - 14*x^3 + 7*x^2 + 2*x - 1 (11)
Real ramification: [1, 2, 4, 5, 7, 8, 9, 10]
Finite ramification: []
Integer traces/Arithmetic: 1/0
Manifolds: m034(1,3) 

Field minimum poly (root): x^16 - x^15 - 7*x^14 + 4*x^13 + 23*x^12 - 3*x^11 - 42*x^10 - 8*x^9 + 42*x^8 + 14*x^7 - 25*x^6 - 2*x^5 + 15*x^4 - 6*x^3 - 8*x^2 + x + 1 (9)
Real ramification: [1, 2, 3, 4, 5, 7, 8]
Finite ramification: [[37, [-8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-14, 12, -16, 8, 13, -12, -3, -16, 2, -8, -5, 9, -11, 12, 7, 1]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m117(-5,1)* 

Field minimum poly (root): x^16 - x^15 - 7*x^14 + 4*x^13 + 25*x^12 - 9*x^11 - 51*x^10 + 12*x^9 + 69*x^8 - 10*x^7 - 63*x^6 + 36*x^4 + 5*x^3 - 10*x^2 - x + 1 (9)
Real ramification: [1, 2, 4, 5, 6]
Finite ramification: [[17, [7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-4, 5, -2, -7, -4, 2, -2, -1, -7, -7, 1, 1, -8, 5, -7, 3]~]]
Integer traces/Arithmetic: 1/0
Manifolds: m199(5,1) 

Field minimum poly (root): x^16 - x^15 - 8*x^14 + 5*x^13 + 22*x^12 - 5*x^11 - 19*x^10 - 11*x^9 - 16*x^8 + 19*x^7 + 32*x^6 + 8*x^5 - 3*x^4 - 23*x^3 - 11*x^2 + 6*x + 1 (12)
Real ramification: [1, 3, 4]
Finite ramification: [[5, [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-2, 0, 2, -2, 2, 1, 2, 1, 1, 1, -1, 0, -2, -1, 1, 2]~], [19, [4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-3, 5, 0, -1, 1, -4, 5, 5, -2, -1, -2, 8, 6, 0, 7, 5]~], [59, [-13, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]~, 1, 1, [-20, 13, 9, -27, -16, 29, -27, 2, 5, 12, -26, -10, -5, -3, 22, -20]~]]
Integer traces/Arithmetic: 1/0
Manifolds: v1983(3,4)* 