Magma V2.19-8 Tue Aug 20 2013 16:16:37 on localhost [Seed = 3953817394] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0919 geometric_solution 4.81216620 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798222133778 0.093401107563 0 2 0 2 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729417622019 0.212826458683 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.904567792218 0.918238509767 2 5 4 4 0132 0132 0213 2310 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 0 0 0 0 0 0 0 0 0 0 -1 0 1 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 0.350479588834 0.698061808408 3 3 5 2 3201 0213 1023 0132 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 0 0 0 0 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 0.350479588834 0.698061808408 6 3 4 6 0132 0132 1023 1023 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 1.199226752694 0.781122920030 5 6 6 5 0132 1230 3012 1023 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 1.699208182214 0.272702915369 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0011_4'], '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_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 10203/25*c_0101_6^22 + 28329/25*c_0101_6^21 - 111893/25*c_0101_6^20 - 74336/5*c_0101_6^19 + 497207/25*c_0101_6^18 + 2154081/25*c_0101_6^17 - 1038989/25*c_0101_6^16 - 7104026/25*c_0101_6^15 + 578157/25*c_0101_6^14 + 14182291/25*c_0101_6^13 + 1574486/25*c_0101_6^12 - 3343443/5*c_0101_6^11 - 2538267/25*c_0101_6^10 + 10142221/25*c_0101_6^9 - 216521/25*c_0101_6^8 - 1463962/25*c_0101_6^7 + 2567161/25*c_0101_6^6 - 1154262/25*c_0101_6^5 - 1438794/25*c_0101_6^4 + 285501/25*c_0101_6^3 + 152857/25*c_0101_6^2 - 20702/25*c_0101_6 - 1977/25, c_0011_0 - 1, c_0011_4 - 2*c_0101_6^22 - 5*c_0101_6^21 + 23*c_0101_6^20 + 66*c_0101_6^19 - 112*c_0101_6^18 - 385*c_0101_6^17 + 291*c_0101_6^16 + 1278*c_0101_6^15 - 411*c_0101_6^14 - 2566*c_0101_6^13 + 303*c_0101_6^12 + 3031*c_0101_6^11 - 238*c_0101_6^10 - 1806*c_0101_6^9 + 481*c_0101_6^8 + 170*c_0101_6^7 - 531*c_0101_6^6 + 313*c_0101_6^5 + 193*c_0101_6^4 - 100*c_0101_6^3 - 4*c_0101_6^2 + 11*c_0101_6 - 1, c_0101_0 - 11*c_0101_6^22 - 25*c_0101_6^21 + 132*c_0101_6^20 + 335*c_0101_6^19 - 686*c_0101_6^18 - 1986*c_0101_6^17 + 1989*c_0101_6^16 + 6709*c_0101_6^15 - 3459*c_0101_6^14 - 13741*c_0101_6^13 + 3804*c_0101_6^12 + 16627*c_0101_6^11 - 3333*c_0101_6^10 - 10228*c_0101_6^9 + 3303*c_0101_6^8 + 1038*c_0101_6^7 - 2659*c_0101_6^6 + 1929*c_0101_6^5 + 973*c_0101_6^4 - 683*c_0101_6^3 - 80*c_0101_6^2 + 56*c_0101_6 - 3, c_0101_1 - 272*c_0101_6^22 - 686*c_0101_6^21 + 3171*c_0101_6^20 + 9134*c_0101_6^19 - 15739*c_0101_6^18 - 53857*c_0101_6^17 + 42204*c_0101_6^16 + 181246*c_0101_6^15 - 63673*c_0101_6^14 - 370679*c_0101_6^13 + 55387*c_0101_6^12 + 449555*c_0101_6^11 - 48548*c_0101_6^10 - 279633*c_0101_6^9 + 77164*c_0101_6^8 + 32474*c_0101_6^7 - 78240*c_0101_6^6 + 49275*c_0101_6^5 + 28911*c_0101_6^4 - 16931*c_0101_6^3 - 1431*c_0101_6^2 + 1426*c_0101_6 - 148, c_0101_2 + c_0101_6^3 - 2*c_0101_6, c_0101_5 - c_0101_6^2 + 1, c_0101_6^23 + 4*c_0101_6^22 - 8*c_0101_6^21 - 51*c_0101_6^20 + 9*c_0101_6^19 + 286*c_0101_6^18 + 134*c_0101_6^17 - 910*c_0101_6^16 - 743*c_0101_6^15 + 1756*c_0101_6^14 + 1804*c_0101_6^13 - 2048*c_0101_6^12 - 2269*c_0101_6^11 + 1403*c_0101_6^10 + 1245*c_0101_6^9 - 606*c_0101_6^8 + 118*c_0101_6^7 + 253*c_0101_6^6 - 392*c_0101_6^5 - 86*c_0101_6^4 + 106*c_0101_6^3 - 8*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB