Magma V2.19-8 Tue Aug 20 2013 16:19:01 on localhost [Seed = 2699115977] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3166 geometric_solution 6.31675710 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482285506661 1.110071158299 0 5 6 2 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 -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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612496406776 0.556816353572 5 0 1 6 3201 0132 2031 0132 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 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 0.612496406776 0.556816353572 4 4 6 0 1302 2031 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.367491266337 1.127470738608 3 3 0 6 1302 2031 0132 2310 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 0 0 0 0 0 0 0 0 0 0 -0.367491266337 1.127470738608 5 1 5 2 2031 0132 1302 2310 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 -1 1 0 -1 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 0.381057056315 1.231637957251 4 3 2 1 3201 3201 0132 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 -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 0.128398120655 0.573346143510 ==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' : 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' : 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' : 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' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0101_2']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_2']), '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_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 190622672155971214/718790187255910375*c_0101_6^12 - 2957697230182782197/1437580374511820750*c_0101_6^11 + 3664073303500124703/718790187255910375*c_0101_6^10 - 13096667705643107527/1437580374511820750*c_0101_6^9 + 629699271384979181/718790187255910375*c_0101_6^8 + 531848856257850741/23186780234061625*c_0101_6^7 - 2039984402699675016/718790187255910375*c_0101_6^6 - 13008469994949997739/1437580374511820750*c_0101_6^5 + 13944218435188098737/1437580374511820750*c_0101_6^4 + 14064154834168969751/287516074902364150*c_0101_6^3 + 20298577397306831092/718790187255910375*c_0101_6^2 + 925181893148654043/57503214980472830*c_0101_6 - 404927734565349661/1437580374511820750, c_0011_0 - 1, c_0011_3 - 8177928372114/159908829200425*c_0101_6^12 + 60663689182231/159908829200425*c_0101_6^11 - 140281620837553/159908829200425*c_0101_6^10 + 268008269050541/159908829200425*c_0101_6^9 - 59608855487851/159908829200425*c_0101_6^8 - 429545445005171/159908829200425*c_0101_6^7 - 468356305287429/159908829200425*c_0101_6^6 + 278394221089647/159908829200425*c_0101_6^5 - 255510655857506/159908829200425*c_0101_6^4 - 271937359406807/31981765840085*c_0101_6^3 - 1701593443801472/159908829200425*c_0101_6^2 - 251629357796677/31981765840085*c_0101_6 - 424015916938447/159908829200425, c_0011_4 - 8177928372114/159908829200425*c_0101_6^12 + 60663689182231/159908829200425*c_0101_6^11 - 140281620837553/159908829200425*c_0101_6^10 + 268008269050541/159908829200425*c_0101_6^9 - 59608855487851/159908829200425*c_0101_6^8 - 429545445005171/159908829200425*c_0101_6^7 - 468356305287429/159908829200425*c_0101_6^6 + 278394221089647/159908829200425*c_0101_6^5 - 255510655857506/159908829200425*c_0101_6^4 - 271937359406807/31981765840085*c_0101_6^3 - 1701593443801472/159908829200425*c_0101_6^2 - 251629357796677/31981765840085*c_0101_6 - 424015916938447/159908829200425, c_0011_6 - 12919204472998/159908829200425*c_0101_6^12 + 102786968782217/159908829200425*c_0101_6^11 - 277664086848446/159908829200425*c_0101_6^10 + 574786470728812/159908829200425*c_0101_6^9 - 384454176947007/159908829200425*c_0101_6^8 - 554516745487222/159908829200425*c_0101_6^7 - 198877391217278/159908829200425*c_0101_6^6 + 202182626505979/159908829200425*c_0101_6^5 - 535073992636967/159908829200425*c_0101_6^4 - 340686145834599/31981765840085*c_0101_6^3 - 1885135821716054/159908829200425*c_0101_6^2 - 245033794423384/31981765840085*c_0101_6 - 291384250519129/159908829200425, c_0101_0 + 9144145425774/159908829200425*c_0101_6^12 - 69501499438471/159908829200425*c_0101_6^11 + 167634481553623/159908829200425*c_0101_6^10 - 311416553192831/159908829200425*c_0101_6^9 + 51562571241066/159908829200425*c_0101_6^8 + 651998173924386/159908829200425*c_0101_6^7 + 124105602118164/159908829200425*c_0101_6^6 - 165031920917077/159908829200425*c_0101_6^5 + 268144963155896/159908829200425*c_0101_6^4 + 312015940960057/31981765840085*c_0101_6^3 + 1605827829780427/159908829200425*c_0101_6^2 + 208861747893422/31981765840085*c_0101_6 + 328376295612477/159908829200425, c_0101_2 - 41917648/2601200963*c_0101_6^12 + 235736133/2601200963*c_0101_6^11 - 79274222/2601200963*c_0101_6^10 - 577640722/2601200963*c_0101_6^9 + 3979075910/2601200963*c_0101_6^8 - 6471379382/2601200963*c_0101_6^7 - 3806904048/2601200963*c_0101_6^6 + 1119836471/2601200963*c_0101_6^5 + 1699515190/2601200963*c_0101_6^4 - 11176892661/2601200963*c_0101_6^3 - 18116646856/2601200963*c_0101_6^2 - 12727764321/2601200963*c_0101_6 - 4698920743/2601200963, c_0101_6^13 - 7*c_0101_6^12 + 14*c_0101_6^11 - 25*c_0101_6^10 - 9*c_0101_6^9 + 62*c_0101_6^8 + 69*c_0101_6^7 - 6*c_0101_6^6 + 23*c_0101_6^5 + 178*c_0101_6^4 + 278*c_0101_6^3 + 246*c_0101_6^2 + 128*c_0101_6 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB