Magma V2.19-8 Tue Aug 20 2013 16:18:42 on localhost [Seed = 3515895006] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2862 geometric_solution 6.08444991 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125243955186 0.372282629683 0 4 2 4 0132 0132 1230 2103 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931161876600 1.295707047850 5 0 4 1 0132 0132 0321 3012 0 0 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.482429150490 1.450873984727 6 0 6 0 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166998109990 1.837269370941 5 1 2 1 1023 0132 0321 2103 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561953426358 0.776177577492 2 4 6 6 0132 1023 3120 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339978568908 1.034608136162 3 3 5 5 0132 3201 3120 0213 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 1 0 -1 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106780603178 0.740380830629 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : negation(d['c_0101_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 23416643488/2307357*c_1001_1^9 + 6667142368/2307357*c_1001_1^8 + 10910813488/2307357*c_1001_1^7 - 3594958288/2307357*c_1001_1^6 + 2000842538/2307357*c_1001_1^5 - 13527380552/2307357*c_1001_1^4 + 6734882099/4614714*c_1001_1^3 + 18454233329/4614714*c_1001_1^2 - 3225616856/2307357*c_1001_1 - 1165270481/4614714, c_0011_0 - 1, c_0011_3 + 600448/6253*c_1001_1^9 + 333824/6253*c_1001_1^8 - 63872/6253*c_1001_1^7 - 38624/6253*c_1001_1^6 - 63992/6253*c_1001_1^5 + 298880/6253*c_1001_1^4 + 168514/6253*c_1001_1^3 - 119944/6253*c_1001_1^2 - 57999/6253*c_1001_1 - 15432/6253, c_0101_0 - 27968/1443*c_1001_1^9 - 22912/1443*c_1001_1^8 - 6688/1443*c_1001_1^7 + 544/1443*c_1001_1^6 + 820/1443*c_1001_1^5 - 13396/1443*c_1001_1^4 - 12217/1443*c_1001_1^3 + 1730/1443*c_1001_1^2 + 2978/1443*c_1001_1 + 739/1443, c_0101_1 + 1255616/18759*c_1001_1^9 + 780736/18759*c_1001_1^8 - 161504/18759*c_1001_1^7 - 80320/18759*c_1001_1^6 - 177772/18759*c_1001_1^5 + 615688/18759*c_1001_1^4 + 409951/18759*c_1001_1^3 - 272321/18759*c_1001_1^2 - 135899/18759*c_1001_1 - 43582/18759, c_0101_2 - 1097728/18759*c_1001_1^9 - 561152/18759*c_1001_1^8 + 82816/18759*c_1001_1^7 + 24416/18759*c_1001_1^6 + 105728/18759*c_1001_1^5 - 572384/18759*c_1001_1^4 - 296312/18759*c_1001_1^3 + 202084/18759*c_1001_1^2 + 88672/18759*c_1001_1 + 23831/18759, c_0101_5 + 160960/6253*c_1001_1^9 + 65856/6253*c_1001_1^8 - 24416/6253*c_1001_1^7 - 37120/6253*c_1001_1^6 - 20076/6253*c_1001_1^5 + 79064/6253*c_1001_1^4 + 37519/6253*c_1001_1^3 - 37041/6253*c_1001_1^2 - 25263/6253*c_1001_1 - 4646/6253, c_1001_1^10 - 1/2*c_1001_1^8 - 1/16*c_1001_1^6 + 9/16*c_1001_1^5 + 1/64*c_1001_1^4 - 13/32*c_1001_1^3 + 1/64*c_1001_1^2 + 3/64*c_1001_1 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB