Magma V2.19-8 Tue Aug 20 2013 16:14:25 on localhost [Seed = 458917657] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s415 geometric_solution 4.67929605 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1230 3012 0132 0132 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 1 -1 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 0.518070421523 0.488541628227 3 2 2 0 0132 3012 2031 0132 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 0 0 0 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 0.682903934136 0.748855908330 1 3 0 1 1230 2310 0132 1302 0 0 0 0 0 0 1 -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 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 0.682903934136 0.748855908330 1 4 4 2 0132 0132 1023 3201 0 0 0 0 0 0 1 -1 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 -1 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 0.552654874009 0.521311525206 5 3 3 5 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.247441717058 0.375407561780 4 5 5 4 0132 3201 2310 1023 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 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 1.233269617512 0.150840103720 ==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_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_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_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], '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' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 497568475051813569/122756866833272435*c_0101_5^17 - 3259672258077816927/122756866833272435*c_0101_5^16 + 14613448145321840333/122756866833272435*c_0101_5^15 + 51806971835433150213/122756866833272435*c_0101_5^14 - 197432825073730455849/122756866833272435*c_0101_5^13 - 9668866987421574200/24551373366654487*c_0101_5^12 + 470246289257618113152/122756866833272435*c_0101_5^11 + 13061795870325857620/24551373366654487*c_0101_5^10 - 482957236495721825541/122756866833272435*c_0101_5^9 - 218896974369739854909/122756866833272435*c_0101_5^8 + 218926358701819632746/122756866833272435*c_0101_5^7 + 173158061027220943843/122756866833272435*c_0101_5^6 + 679224917480896478/122756866833272435*c_0101_5^5 - 20949265390351342106/122756866833272435*c_0101_5^4 + 3385644665921151422/122756866833272435*c_0101_5^3 + 4838659202172484/1126209787461215*c_0101_5^2 - 3747406850625604811/122756866833272435*c_0101_5 - 1462121733556649282/122756866833272435, c_0011_0 - 1, c_0011_1 + 3588471110026959/24551373366654487*c_0101_5^17 + 14611196799590211/24551373366654487*c_0101_5^16 - 158781347334217252/24551373366654487*c_0101_5^15 - 82065816746281386/24551373366654487*c_0101_5^14 + 2193090905320012346/24551373366654487*c_0101_5^13 - 3643795230384681727/24551373366654487*c_0101_5^12 - 2083024167330792165/24551373366654487*c_0101_5^11 + 7748167981124997188/24551373366654487*c_0101_5^10 - 604136761449786103/24551373366654487*c_0101_5^9 - 5485848996960231247/24551373366654487*c_0101_5^8 - 297691978748902640/24551373366654487*c_0101_5^7 + 2378603691780706578/24551373366654487*c_0101_5^6 + 641544839415093497/24551373366654487*c_0101_5^5 - 620722659699733278/24551373366654487*c_0101_5^4 - 54958017453080697/24551373366654487*c_0101_5^3 + 722624638859417/225241957492243*c_0101_5^2 - 3459429569937966/24551373366654487*c_0101_5 - 18885761863483344/24551373366654487, c_0101_0 - 30771899704456576/24551373366654487*c_0101_5^17 - 176248158807119296/24551373366654487*c_0101_5^16 + 1065745898076538466/24551373366654487*c_0101_5^15 + 2429187245697827762/24551373366654487*c_0101_5^14 - 14748473194950434350/24551373366654487*c_0101_5^13 + 7642334520102278832/24551373366654487*c_0101_5^12 + 30115253358896426277/24551373366654487*c_0101_5^11 - 22401365506723246266/24551373366654487*c_0101_5^10 - 26720959758011042295/24551373366654487*c_0101_5^9 + 13995487553250283628/24551373366654487*c_0101_5^8 + 15560837543194949119/24551373366654487*c_0101_5^7 - 2695312479770887594/24551373366654487*c_0101_5^6 - 4242933440558667863/24551373366654487*c_0101_5^5 + 610914528245104658/24551373366654487*c_0101_5^4 + 502900521710523366/24551373366654487*c_0101_5^3 - 3195370004958933/225241957492243*c_0101_5^2 - 108810908348020678/24551373366654487*c_0101_5 + 45568138735764387/24551373366654487, c_0101_1 - 28007288028421374/24551373366654487*c_0101_5^17 - 143123015977606234/24551373366654487*c_0101_5^16 + 1062387702041365055/24551373366654487*c_0101_5^15 + 1577294723753962117/24551373366654487*c_0101_5^14 - 14538812390361974684/24551373366654487*c_0101_5^13 + 15660617044180088860/24551373366654487*c_0101_5^12 + 19643316971830204126/24551373366654487*c_0101_5^11 - 34170138094811943770/24551373366654487*c_0101_5^10 - 5615516983840733634/24551373366654487*c_0101_5^9 + 19274295316353500180/24551373366654487*c_0101_5^8 + 2779252995536897439/24551373366654487*c_0101_5^7 - 4886056643874474338/24551373366654487*c_0101_5^6 - 993651855806189845/24551373366654487*c_0101_5^5 + 1022076572734272727/24551373366654487*c_0101_5^4 - 326848972103238476/24551373366654487*c_0101_5^3 - 1201173734791480/225241957492243*c_0101_5^2 + 64549738570721056/24551373366654487*c_0101_5 - 6813880426960083/24551373366654487, c_0101_4 - 7980917276281909/24551373366654487*c_0101_5^17 - 49362514013032908/24551373366654487*c_0101_5^16 + 255258574246418477/24551373366654487*c_0101_5^15 + 754177456390105526/24551373366654487*c_0101_5^14 - 3535168974090837128/24551373366654487*c_0101_5^13 + 276731122983976841/24551373366654487*c_0101_5^12 + 8711266898659429690/24551373366654487*c_0101_5^11 - 2527547435738031405/24551373366654487*c_0101_5^10 - 9559749979626634110/24551373366654487*c_0101_5^9 + 1252636118969922496/24551373366654487*c_0101_5^8 + 5630717080831692981/24551373366654487*c_0101_5^7 + 263188916167042729/24551373366654487*c_0101_5^6 - 1413936659511610397/24551373366654487*c_0101_5^5 + 2699426478438029/24551373366654487*c_0101_5^4 + 268965069945271612/24551373366654487*c_0101_5^3 - 858549598240145/225241957492243*c_0101_5^2 - 96858364904072270/24551373366654487*c_0101_5 + 16799690187519700/24551373366654487, c_0101_5^18 + 6*c_0101_5^17 - 33*c_0101_5^16 - 88*c_0101_5^15 + 455*c_0101_5^14 - 122*c_0101_5^13 - 1008*c_0101_5^12 + 421*c_0101_5^11 + 1009*c_0101_5^10 - 117*c_0101_5^9 - 611*c_0101_5^8 - 124*c_0101_5^7 + 157*c_0101_5^6 + 43*c_0101_5^5 - 16*c_0101_5^4 + 2*c_0101_5^3 + 7*c_0101_5^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB