Magma V2.19-8 Tue Aug 20 2013 16:16:00 on localhost [Seed = 3869735457] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0253 geometric_solution 4.28963925 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 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 -1 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 0.419962552104 0.807235123938 0 4 4 2 0132 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.911707677149 0.345708928443 3 0 3 1 1302 0132 3120 0213 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 -1 0 1 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492797067854 0.974925073059 0 2 2 0 3201 2031 3120 0132 0 0 0 0 0 1 0 -1 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 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 0 0 -0.507202932146 0.974925073059 5 1 1 5 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 -1 0 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 1.111744470531 0.184637034465 4 6 6 4 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 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 1.110798555455 0.088549138321 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 -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 1.099143675150 0.059511603722 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_6'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), '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' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_0101_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_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 4333657/377*c_0101_6^21 + 2476619/377*c_0101_6^20 + 265194719/754*c_0101_6^19 - 359501739/754*c_0101_6^18 - 1260916252/377*c_0101_6^17 + 4309454879/754*c_0101_6^16 + 4367111477/377*c_0101_6^15 - 7994831734/377*c_0101_6^14 - 8080056008/377*c_0101_6^13 + 14487427039/377*c_0101_6^12 + 17865923935/754*c_0101_6^11 - 29938842035/754*c_0101_6^10 - 6085073874/377*c_0101_6^9 + 9410746481/377*c_0101_6^8 + 2547508891/377*c_0101_6^7 - 7307201489/754*c_0101_6^6 - 635810835/377*c_0101_6^5 + 853174032/377*c_0101_6^4 + 173453015/754*c_0101_6^3 - 109614111/377*c_0101_6^2 - 9957725/754*c_0101_6 + 5944482/377, c_0011_0 - 1, c_0011_3 + 9727*c_0101_6^21 - 6156*c_0101_6^20 - 299019*c_0101_6^19 + 422648*c_0101_6^18 + 2858292*c_0101_6^17 - 5079824*c_0101_6^16 - 10001646*c_0101_6^15 + 19372655*c_0101_6^14 + 18700518*c_0101_6^13 - 36554301*c_0101_6^12 - 21021117*c_0101_6^11 + 39754896*c_0101_6^10 + 14704466*c_0101_6^9 - 26545822*c_0101_6^8 - 6377952*c_0101_6^7 + 11039566*c_0101_6^6 + 1655823*c_0101_6^5 - 2781782*c_0101_6^4 - 234652*c_0101_6^3 + 387996*c_0101_6^2 + 13926*c_0101_6 - 22953, c_0101_0 - 646*c_0101_6^21 + 118*c_0101_6^20 + 19923*c_0101_6^19 - 19148*c_0101_6^18 - 198770*c_0101_6^17 + 249619*c_0101_6^16 + 778283*c_0101_6^15 - 953992*c_0101_6^14 - 1663523*c_0101_6^13 + 1742564*c_0101_6^12 + 2131111*c_0101_6^11 - 1799284*c_0101_6^10 - 1685930*c_0101_6^9 + 1131512*c_0101_6^8 + 826690*c_0101_6^7 - 442750*c_0101_6^6 - 244397*c_0101_6^5 + 105236*c_0101_6^4 + 39881*c_0101_6^3 - 13892*c_0101_6^2 - 2755*c_0101_6 + 780, c_0101_1 - 134*c_0101_6^21 + 16*c_0101_6^20 + 4139*c_0101_6^19 - 3711*c_0101_6^18 - 41630*c_0101_6^17 + 49303*c_0101_6^16 + 166182*c_0101_6^15 - 189416*c_0101_6^14 - 363261*c_0101_6^13 + 346090*c_0101_6^12 + 476781*c_0101_6^11 - 356420*c_0101_6^10 - 387801*c_0101_6^9 + 223177*c_0101_6^8 + 196770*c_0101_6^7 - 86888*c_0101_6^6 - 60789*c_0101_6^5 + 20548*c_0101_6^4 + 10505*c_0101_6^3 - 2700*c_0101_6^2 - 780*c_0101_6 + 151, c_0101_4 - 17*c_0101_6^21 + c_0101_6^20 + 526*c_0101_6^19 - 439*c_0101_6^18 - 5334*c_0101_6^17 + 5954*c_0101_6^16 + 21705*c_0101_6^15 - 23014*c_0101_6^14 - 48525*c_0101_6^13 + 42104*c_0101_6^12 + 65319*c_0101_6^11 - 43297*c_0101_6^10 - 54786*c_0101_6^9 + 27026*c_0101_6^8 + 28953*c_0101_6^7 - 10480*c_0101_6^6 - 9477*c_0101_6^5 + 2468*c_0101_6^4 + 1787*c_0101_6^3 - 323*c_0101_6^2 - 151*c_0101_6 + 18, c_0101_5 - c_0101_6^21 + 31*c_0101_6^19 - 24*c_0101_6^18 - 317*c_0101_6^17 + 333*c_0101_6^16 + 1315*c_0101_6^15 - 1296*c_0101_6^14 - 3008*c_0101_6^13 + 2376*c_0101_6^12 + 4159*c_0101_6^11 - 2442*c_0101_6^10 - 3611*c_0101_6^9 + 1521*c_0101_6^8 + 2005*c_0101_6^7 - 588*c_0101_6^6 - 710*c_0101_6^5 + 138*c_0101_6^4 + 155*c_0101_6^3 - 18*c_0101_6^2 - 18*c_0101_6 + 1, c_0101_6^22 - 31*c_0101_6^20 + 24*c_0101_6^19 + 317*c_0101_6^18 - 333*c_0101_6^17 - 1315*c_0101_6^16 + 1296*c_0101_6^15 + 3008*c_0101_6^14 - 2376*c_0101_6^13 - 4159*c_0101_6^12 + 2442*c_0101_6^11 + 3611*c_0101_6^10 - 1521*c_0101_6^9 - 2005*c_0101_6^8 + 588*c_0101_6^7 + 710*c_0101_6^6 - 138*c_0101_6^5 - 155*c_0101_6^4 + 18*c_0101_6^3 + 19*c_0101_6^2 - c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB