Magma V2.19-8 Tue Aug 20 2013 16:16:52 on localhost [Seed = 1191631769] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1131 geometric_solution 4.99638177 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 1 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.370972433516 0.078588092295 2 0 2 0 0132 0132 2310 1023 0 0 0 0 0 1 -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 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 -1.197210326654 1.726837064120 1 1 3 4 0132 3201 0132 0132 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 0 0 0 1 0 -1 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 0.182125747469 0.981698290976 5 4 4 2 0132 1023 2031 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 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 0.269460132138 0.716537823476 3 5 2 3 1023 2310 0132 1302 0 0 0 0 0 0 0 0 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 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 0.269460132138 0.716537823476 3 6 6 4 0132 0132 1023 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 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 -0.039714898525 0.698939009268 6 5 5 6 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.780977950386 0.556658852631 ==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' : negation(d['1']), 's_3_5' : 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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_3'], '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_0101_3'], 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0110_0'], 'c_1010_0' : d['c_0101_2']})} 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_1, c_0101_2, c_0101_3, c_0101_6, c_0110_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 38 Groebner basis: [ t + 3831*c_0110_0^37 - 227665/2*c_0110_0^35 + 3071877/2*c_0110_0^33 - 24913933/2*c_0110_0^31 + 67753709*c_0110_0^29 - 522216659/2*c_0110_0^27 + 1468942071/2*c_0110_0^25 - 3061634961/2*c_0110_0^23 + 2375756205*c_0110_0^21 - 2737088542*c_0110_0^19 + 4637854553/2*c_0110_0^17 - 1426547143*c_0110_0^15 + 1265582633/2*c_0110_0^13 - 206035361*c_0110_0^11 + 51713262*c_0110_0^9 - 10092050*c_0110_0^7 + 2906087/2*c_0110_0^5 - 270947/2*c_0110_0^3 + 5734*c_0110_0, c_0011_0 - 1, c_0011_3 - 4*c_0110_0^35 + 117*c_0110_0^33 - 1550*c_0110_0^31 + 12303*c_0110_0^29 - 65227*c_0110_0^27 + 243779*c_0110_0^25 - 660642*c_0110_0^23 + 1315022*c_0110_0^21 - 1925990*c_0110_0^19 + 2059371*c_0110_0^17 - 1581327*c_0110_0^15 + 853381*c_0110_0^13 - 320169*c_0110_0^11 + 87129*c_0110_0^9 - 18830*c_0110_0^7 + 2920*c_0110_0^5 - 313*c_0110_0^3 + 13*c_0110_0, c_0101_1 - c_0110_0^3 + 2*c_0110_0, c_0101_2 + c_0110_0^2 - 1, c_0101_3 + c_0110_0^6 - 5*c_0110_0^4 + 6*c_0110_0^2 - 1, c_0101_6 - 26*c_0110_0^36 + 776*c_0110_0^34 - 10527*c_0110_0^32 + 85938*c_0110_0^30 - 471187*c_0110_0^28 + 1833984*c_0110_0^26 - 5223154*c_0110_0^24 + 11057450*c_0110_0^22 - 17503417*c_0110_0^20 + 20680584*c_0110_0^18 - 18092781*c_0110_0^16 + 11584312*c_0110_0^14 - 5381530*c_0110_0^12 + 1831093*c_0110_0^10 - 474617*c_0110_0^8 + 96092*c_0110_0^6 - 14436*c_0110_0^4 + 1435*c_0110_0^2 - 64, c_0110_0^38 - 31*c_0110_0^36 + 439*c_0110_0^34 - 3763*c_0110_0^32 + 21810*c_0110_0^30 - 90438*c_0110_0^28 + 276877*c_0110_0^26 - 636683*c_0110_0^24 + 1107963*c_0110_0^22 - 1459144*c_0110_0^20 + 1445068*c_0110_0^18 - 1064087*c_0110_0^16 + 575319*c_0110_0^14 - 227610*c_0110_0^12 + 67485*c_0110_0^10 - 15677*c_0110_0^8 + 2805*c_0110_0^6 - 364*c_0110_0^4 + 29*c_0110_0^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB