Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 2884253546] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0316 geometric_solution 4.35134673 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 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 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 -0.318747570182 0.068631066777 0 0 2 2 0132 2310 2310 0132 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 -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 2.242030311886 0.606216385975 3 1 1 3 0132 3201 0132 1023 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 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 1.232148925587 0.604149746583 2 4 5 2 0132 0132 0132 1023 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 0 0 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256413563387 0.289675160724 6 3 5 5 0132 0132 3201 2031 0 0 0 0 0 0 0 0 -1 0 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 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 0.125756071722 0.829720276215 4 4 6 3 2310 1302 2310 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 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 0.125756071722 0.829720276215 4 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 1 -1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.821432710758 1.178161010631 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 55141684979610077/96937340638315*c_0101_6^23 - 328896787842917139/96937340638315*c_0101_6^21 + 527013159356654576/19387468127663*c_0101_6^19 - 19426362886911846743/96937340638315*c_0101_6^17 + 92993818896316380771/96937340638315*c_0101_6^15 - 272552302991564450677/96937340638315*c_0101_6^13 + 99548828245692662151/19387468127663*c_0101_6^11 - 557598014457580180806/96937340638315*c_0101_6^9 + 365577646560744699972/96937340638315*c_0101_6^7 - 26024909017289090576/19387468127663*c_0101_6^5 + 22549848673003574554/96937340638315*c_0101_6^3 - 1467976601782714413/96937340638315*c_0101_6, c_0011_0 - 1, c_0011_2 + 45598575624952/19387468127663*c_0101_6^22 - 265471220320844/19387468127663*c_0101_6^20 + 2139673535501615/19387468127663*c_0101_6^18 - 15752496412709275/19387468127663*c_0101_6^16 + 74592618743090096/19387468127663*c_0101_6^14 - 214314246951452980/19387468127663*c_0101_6^12 + 379210844633412109/19387468127663*c_0101_6^10 - 402676796177801894/19387468127663*c_0101_6^8 + 239112646090173974/19387468127663*c_0101_6^6 - 69860715696872920/19387468127663*c_0101_6^4 + 8081695546752483/19387468127663*c_0101_6^2 - 220870171277073/19387468127663, c_0011_5 + 5144903047536/19387468127663*c_0101_6^23 - 28934010747909/19387468127663*c_0101_6^21 + 235928438288125/19387468127663*c_0101_6^19 - 1731860864637308/19387468127663*c_0101_6^17 + 8083751516568487/19387468127663*c_0101_6^15 - 22656025802616842/19387468127663*c_0101_6^13 + 38643425277684377/19387468127663*c_0101_6^11 - 38698429707398712/19387468127663*c_0101_6^9 + 20782177102337590/19387468127663*c_0101_6^7 - 5093063595194913/19387468127663*c_0101_6^5 + 510111230212574/19387468127663*c_0101_6^3 - 24639256352700/19387468127663*c_0101_6, c_0101_0 - 12312421952192/19387468127663*c_0101_6^23 + 69759872823602/19387468127663*c_0101_6^21 - 567370099242360/19387468127663*c_0101_6^19 + 4167520191227587/19387468127663*c_0101_6^17 - 19512928348616035/19387468127663*c_0101_6^15 + 54984335343197193/19387468127663*c_0101_6^13 - 94538139758747736/19387468127663*c_0101_6^11 + 95888214155436409/19387468127663*c_0101_6^9 - 52576497214340731/19387468127663*c_0101_6^7 + 13249042620597141/19387468127663*c_0101_6^5 - 1235390135669737/19387468127663*c_0101_6^3 + 83924377622860/19387468127663*c_0101_6, c_0101_1 + 20432365205311/19387468127663*c_0101_6^22 - 117307607645125/19387468127663*c_0101_6^20 + 949395209222415/19387468127663*c_0101_6^18 - 6982735873824957/19387468127663*c_0101_6^16 + 32866191644665023/19387468127663*c_0101_6^14 - 93420717517812134/19387468127663*c_0101_6^12 + 162592973209745509/19387468127663*c_0101_6^10 - 167998854634667060/19387468127663*c_0101_6^8 + 94920288555939658/19387468127663*c_0101_6^6 - 25136056010579215/19387468127663*c_0101_6^4 + 2384115340423058/19387468127663*c_0101_6^2 - 44898626773694/19387468127663, c_0101_3 + 54386277880957/19387468127663*c_0101_6^22 - 312897414414635/19387468127663*c_0101_6^20 + 2534160244613058/19387468127663*c_0101_6^18 - 18631408510781347/19387468127663*c_0101_6^16 + 87839738271185199/19387468127663*c_0101_6^14 - 250670700584530805/19387468127663*c_0101_6^12 + 439820344511470180/19387468127663*c_0101_6^10 - 461946898133036702/19387468127663*c_0101_6^8 + 270727859781495754/19387468127663*c_0101_6^6 - 78099479694297080/19387468127663*c_0101_6^4 + 8986383767369867/19387468127663*c_0101_6^2 - 246932613678667/19387468127663, c_0101_6^24 - 6*c_0101_6^22 + 48*c_0101_6^20 - 354*c_0101_6^18 + 1699*c_0101_6^16 - 5003*c_0101_6^14 + 9204*c_0101_6^12 - 10438*c_0101_6^10 + 6998*c_0101_6^8 - 2604*c_0101_6^6 + 497*c_0101_6^4 - 42*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB