Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 3616951054] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1827 geometric_solution 5.48383004 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 3201 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.689060942052 0.324777284868 0 0 3 2 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.096794495705 1.329199557345 4 5 1 3 0132 0132 0132 3012 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 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 0.882683953013 0.809126935648 5 4 2 1 3201 2310 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.882683953013 0.809126935648 2 6 6 3 0132 0132 3201 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 0 0 0 0 0 1 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316990825737 0.468334663927 5 2 5 3 2031 0132 1302 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 0.587108865008 0.425166718152 4 4 6 6 2310 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.723888101213 1.754364551671 ==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' : d['c_0101_6'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_3']), '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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 52660098552539/804406398407*c_0101_6^20 - 1575576846419999/804406398407*c_0101_6^18 + 18989193468036966/804406398407*c_0101_6^16 - 118752412112790786/804406398407*c_0101_6^14 + 408652270839438989/804406398407*c_0101_6^12 - 750791913495869167/804406398407*c_0101_6^10 + 747138987332294356/804406398407*c_0101_6^8 - 405905218397942505/804406398407*c_0101_6^6 + 118694582084389385/804406398407*c_0101_6^4 - 17236960690809214/804406398407*c_0101_6^2 + 677142903672463/804406398407, c_0011_0 - 1, c_0011_2 + 1661613382041/1608812796814*c_0101_6^21 - 49722817184577/1608812796814*c_0101_6^19 + 599427291589289/1608812796814*c_0101_6^17 - 3750380392457955/1608812796814*c_0101_6^15 + 6458847854218357/804406398407*c_0101_6^13 - 11890988929831681/804406398407*c_0101_6^11 + 23772366415214161/1608812796814*c_0101_6^9 - 13017862225820517/1608812796814*c_0101_6^7 + 1926408236349337/804406398407*c_0101_6^5 - 286675624462366/804406398407*c_0101_6^3 + 23641455944313/1608812796814*c_0101_6, c_0101_0 - 198138645991/1608812796814*c_0101_6^21 + 5941960805355/1608812796814*c_0101_6^19 - 35939083083443/804406398407*c_0101_6^17 + 452310132917541/1608812796814*c_0101_6^15 - 787297916748291/804406398407*c_0101_6^13 + 2964617381808715/1608812796814*c_0101_6^11 - 1548557732070993/804406398407*c_0101_6^9 + 1820479156293577/1608812796814*c_0101_6^7 - 293670312998657/804406398407*c_0101_6^5 + 100767878843549/1608812796814*c_0101_6^3 - 4323138748216/804406398407*c_0101_6, c_0101_1 - 244322623770/804406398407*c_0101_6^21 + 7240579664916/804406398407*c_0101_6^19 - 172144536943887/1608812796814*c_0101_6^17 + 527326884585572/804406398407*c_0101_6^15 - 1755673728027975/804406398407*c_0101_6^13 + 6080265414974193/1608812796814*c_0101_6^11 - 5543818658404271/1608812796814*c_0101_6^9 + 1338602763773900/804406398407*c_0101_6^7 - 329543485829726/804406398407*c_0101_6^5 + 61035018231043/1608812796814*c_0101_6^3 + 3608751922499/1608812796814*c_0101_6, c_0101_3 + 378569844247/804406398407*c_0101_6^20 - 22580552521101/1608812796814*c_0101_6^18 + 270917762628067/1608812796814*c_0101_6^16 - 841637361168705/804406398407*c_0101_6^14 + 5735883939433063/1608812796814*c_0101_6^12 - 5186351486136637/804406398407*c_0101_6^10 + 10139902545055521/1608812796814*c_0101_6^8 - 2716925441287663/804406398407*c_0101_6^6 + 1572432081322265/1608812796814*c_0101_6^4 - 111289559748428/804406398407*c_0101_6^2 + 8606425448705/1608812796814, c_0101_4 + 43632726524/804406398407*c_0101_6^20 - 2733065998971/1608812796814*c_0101_6^18 + 17514411626923/804406398407*c_0101_6^16 - 119064570075328/804406398407*c_0101_6^14 + 921342903239731/1608812796814*c_0101_6^12 - 2007727997464141/1608812796814*c_0101_6^10 + 1202407353249532/804406398407*c_0101_6^8 - 764694515299924/804406398407*c_0101_6^6 + 489125307445429/1608812796814*c_0101_6^4 - 71684319736411/1608812796814*c_0101_6^2 + 1241653520923/804406398407, c_0101_6^22 - 30*c_0101_6^20 + 363*c_0101_6^18 - 2284*c_0101_6^16 + 7941*c_0101_6^14 - 14879*c_0101_6^12 + 15328*c_0101_6^10 - 8838*c_0101_6^8 + 2863*c_0101_6^6 - 503*c_0101_6^4 + 38*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB