Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 3263389211] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1825 geometric_solution 5.48315006 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 -1 -1 2 0 0 0 0 1 -1 0 0 1 0 -1 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242232988601 0.959959601055 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 -1 0 1 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752873727445 0.979351488754 4 3 0 1 3201 0132 0132 3012 0 0 0 0 0 1 -2 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 -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 0.752873727445 0.979351488754 1 2 5 5 0132 0132 0132 2310 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116891651243 0.417727165322 4 1 4 2 2031 0132 1302 2310 0 0 0 0 0 1 0 -1 0 0 0 0 1 -1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752873727445 0.979351488754 3 6 6 3 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.515886891712 0.538856530618 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 2.009908462945 0.320643884419 ==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' : 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' : 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_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : negation(d['c_0011_0']), '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' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0110_2']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_5, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t + 9432/169*c_0110_2^22 + 139383/169*c_0110_2^21 + 741752/169*c_0110_2^20 + 729527/169*c_0110_2^19 - 10505056/169*c_0110_2^18 - 57249785/169*c_0110_2^17 - 123349028/169*c_0110_2^16 - 34175705/169*c_0110_2^15 + 444200467/169*c_0110_2^14 + 1010276613/169*c_0110_2^13 + 568614706/169*c_0110_2^12 - 1302333809/169*c_0110_2^11 - 2686109337/169*c_0110_2^10 - 1314944483/169*c_0110_2^9 + 1557640836/169*c_0110_2^8 + 2445148183/169*c_0110_2^7 + 858421786/169*c_0110_2^6 - 573205708/169*c_0110_2^5 - 584183758/169*c_0110_2^4 - 134773488/169*c_0110_2^3 + 29729867/169*c_0110_2^2 + 17396018/169*c_0110_2 + 2005868/169, c_0011_0 - 1, c_0011_1 - c_0110_2 - 1, c_0011_5 + 5*c_0110_2^22 + 96*c_0110_2^21 + 813*c_0110_2^20 + 3891*c_0110_2^19 + 10869*c_0110_2^18 + 14048*c_0110_2^17 - 13447*c_0110_2^16 - 90453*c_0110_2^15 - 150806*c_0110_2^14 - 44833*c_0110_2^13 + 243684*c_0110_2^12 + 420581*c_0110_2^11 + 192992*c_0110_2^10 - 240441*c_0110_2^9 - 391970*c_0110_2^8 - 173532*c_0110_2^7 + 61851*c_0110_2^6 + 98817*c_0110_2^5 + 37555*c_0110_2^4 + 849*c_0110_2^3 - 3335*c_0110_2^2 - 916*c_0110_2 - 79, c_0101_1 - 1067*c_0110_2^22 - 20725*c_0110_2^21 - 177982*c_0110_2^20 - 867346*c_0110_2^19 - 2490048*c_0110_2^18 - 3445268*c_0110_2^17 + 2392615*c_0110_2^16 + 20170049*c_0110_2^15 + 36173675*c_0110_2^14 + 15056708*c_0110_2^13 - 52384514*c_0110_2^12 - 101503278*c_0110_2^11 - 56222377*c_0110_2^10 + 49077348*c_0110_2^9 + 96643259*c_0110_2^8 + 50066504*c_0110_2^7 - 11083110*c_0110_2^6 - 25264330*c_0110_2^5 - 10843937*c_0110_2^4 - 612390*c_0110_2^3 + 894132*c_0110_2^2 + 270089*c_0110_2 + 24180, c_0101_2 - 555*c_0110_2^22 - 10783*c_0110_2^21 - 92632*c_0110_2^20 - 451604*c_0110_2^19 - 1297314*c_0110_2^18 - 1797713*c_0110_2^17 + 1238082*c_0110_2^16 + 10501174*c_0110_2^15 + 18865243*c_0110_2^14 + 7904310*c_0110_2^13 - 27243703*c_0110_2^12 - 52939888*c_0110_2^11 - 29445482*c_0110_2^10 + 25476779*c_0110_2^9 + 50425611*c_0110_2^8 + 26223466*c_0110_2^7 - 5720100*c_0110_2^6 - 13192589*c_0110_2^5 - 5682712*c_0110_2^4 - 326929*c_0110_2^3 + 467470*c_0110_2^2 + 141703*c_0110_2 + 12713, c_0101_6 - 65*c_0110_2^22 - 1253*c_0110_2^21 - 10663*c_0110_2^20 - 51357*c_0110_2^19 - 144854*c_0110_2^18 - 191887*c_0110_2^17 + 165212*c_0110_2^16 + 1194743*c_0110_2^15 + 2043906*c_0110_2^14 + 694243*c_0110_2^13 - 3182701*c_0110_2^12 - 5715625*c_0110_2^11 - 2811642*c_0110_2^10 + 3097749*c_0110_2^9 + 5371083*c_0110_2^8 + 2512064*c_0110_2^7 - 774834*c_0110_2^6 - 1371646*c_0110_2^5 - 541428*c_0110_2^4 - 17896*c_0110_2^3 + 47022*c_0110_2^2 + 13265*c_0110_2 + 1143, c_0110_2^23 + 20*c_0110_2^22 + 178*c_0110_2^21 + 909*c_0110_2^20 + 2802*c_0110_2^19 + 4573*c_0110_2^18 - 384*c_0110_2^17 - 20199*c_0110_2^16 - 44793*c_0110_2^15 - 33628*c_0110_2^14 + 40996*c_0110_2^13 + 123428*c_0110_2^12 + 107454*c_0110_2^11 - 15720*c_0110_2^10 - 117108*c_0110_2^9 - 99053*c_0110_2^8 - 16573*c_0110_2^7 + 29685*c_0110_2^6 + 23786*c_0110_2^5 + 6412*c_0110_2^4 - 511*c_0110_2^3 - 735*c_0110_2^2 - 168*c_0110_2 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB