Magma V2.19-8 Tue Aug 20 2013 16:17:42 on localhost [Seed = 4122241305] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1937 geometric_solution 5.52716359 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 1302 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 0 0 0 0 0 0 0 -1 1 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 1.580112820210 1.203492493189 0 4 4 5 0132 0132 3120 0132 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 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 0.557570807615 0.550208130678 5 0 3 6 0321 0132 3201 0132 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 1 -1 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488426526166 0.659273735003 2 6 0 0 2310 1023 2031 0132 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 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 -0.019366911222 0.898436341232 6 1 1 5 3012 0132 3120 3201 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 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 0 0 0 0 0 0 0 0 1.367322330210 0.128974325027 2 4 1 6 0321 2310 0132 2031 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398393874089 1.064106296562 3 5 2 4 1023 1302 0132 1230 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810820528466 2.278417024277 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : negation(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' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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_1001_1']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_0011_5, c_0101_0, c_0101_3, c_0101_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 1494171/12688*c_1001_1^11 - 11126067/12688*c_1001_1^10 - 29680731/12688*c_1001_1^9 - 16283597/12688*c_1001_1^8 + 42370293/12688*c_1001_1^7 + 72708485/12688*c_1001_1^6 - 26925823/6344*c_1001_1^5 - 53371803/12688*c_1001_1^4 + 14008541/6344*c_1001_1^3 + 16425073/12688*c_1001_1^2 - 6046329/12688*c_1001_1 - 2770981/12688, c_0011_0 - 1, c_0011_3 - 825/4*c_1001_1^11 - 6145/4*c_1001_1^10 - 16409/4*c_1001_1^9 - 9087/4*c_1001_1^8 + 23191/4*c_1001_1^7 + 40007/4*c_1001_1^6 - 14779/2*c_1001_1^5 - 29141/4*c_1001_1^4 + 7681/2*c_1001_1^3 + 8875/4*c_1001_1^2 - 3295/4*c_1001_1 - 1483/4, c_0011_5 + 329/2*c_1001_1^11 + 2447/2*c_1001_1^10 + 6519/2*c_1001_1^9 + 3565/2*c_1001_1^8 - 9261/2*c_1001_1^7 - 15857/2*c_1001_1^6 + 5949*c_1001_1^5 + 11433/2*c_1001_1^4 - 3074*c_1001_1^3 - 3453/2*c_1001_1^2 + 1307/2*c_1001_1 + 577/2, c_0101_0 + 139/4*c_1001_1^11 + 1071/4*c_1001_1^10 + 3011/4*c_1001_1^9 + 2105/4*c_1001_1^8 - 3841/4*c_1001_1^7 - 7825/4*c_1001_1^6 + 1899/2*c_1001_1^5 + 6863/4*c_1001_1^4 - 1141/2*c_1001_1^3 - 2357/4*c_1001_1^2 + 589/4*c_1001_1 + 381/4, c_0101_3 + 17/4*c_1001_1^11 + 131/4*c_1001_1^10 + 369/4*c_1001_1^9 + 261/4*c_1001_1^8 - 467/4*c_1001_1^7 - 973/4*c_1001_1^6 + 223/2*c_1001_1^5 + 853/4*c_1001_1^4 - 53*c_1001_1^3 - 353/4*c_1001_1^2 + 63/4*c_1001_1 + 65/4, c_0101_4 + 329/4*c_1001_1^11 + 2429/4*c_1001_1^10 + 6393/4*c_1001_1^9 + 3263/4*c_1001_1^8 - 9327/4*c_1001_1^7 - 15327/4*c_1001_1^6 + 6271/2*c_1001_1^5 + 10533/4*c_1001_1^4 - 3175/2*c_1001_1^3 - 3063/4*c_1001_1^2 + 1303/4*c_1001_1 + 519/4, c_1001_1^12 + 8*c_1001_1^11 + 24*c_1001_1^10 + 22*c_1001_1^9 - 22*c_1001_1^8 - 64*c_1001_1^7 + 9*c_1001_1^6 + 55*c_1001_1^5 + c_1001_1^4 - 21*c_1001_1^3 - 2*c_1001_1^2 + 4*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB