Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 779072248] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1528 geometric_solution 5.32350086 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 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 -1 1 -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 0.412234230979 0.498448323379 0 3 2 4 0132 0132 1230 0132 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 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602679063049 0.871973330759 3 0 4 1 3201 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602679063049 0.871973330759 3 1 3 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.192532909877 1.157116379003 5 5 1 2 0132 2310 0132 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 -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 0.098807428513 1.806970687117 4 6 6 4 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 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 -0.298123814409 0.341005402053 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.645643613138 0.505007126882 ==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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0101_1']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 1611830698846631696400752/25287336976336302153125*c_0110_2^21 + 24099329166838141644138388/25287336976336302153125*c_0110_2^19 - 2847895314813454101093332/25287336976336302153125*c_0110_2^17 - 229616211188860210084976794/25287336976336302153125*c_0110_2^15 + 847098477174549705695003441/25287336976336302153125*c_0110_2^13 - 3000593974366349818972297778/25287336976336302153125*c_0110_2^11 + 259388704118860282346979647/25287336976336302153125*c_0110_2^9 - 155760004039298430948521762/3612476710905186021875*c_0110_2^7 + 1328511266616091993105455802/25287336976336302153125*c_0110_2^5 - 208280990758754871945652226/25287336976336302153125*c_0110_2^3 + 5165890751484898274350603/25287336976336302153125*c_0110_2, c_0011_0 - 1, c_0011_4 + 215181031740783590808/31968820450488371875*c_0110_2^21 - 3215218671382524611752/31968820450488371875*c_0110_2^19 + 351421272280331673128/31968820450488371875*c_0110_2^17 + 30627001174403108545026/31968820450488371875*c_0110_2^15 - 112804930533253174804914/31968820450488371875*c_0110_2^13 + 399791755894118813810937/31968820450488371875*c_0110_2^11 - 31754665595294313946888/31968820450488371875*c_0110_2^9 + 148716000309463650546936/31968820450488371875*c_0110_2^7 - 174677800297139430121633/31968820450488371875*c_0110_2^5 + 28275021976149138549054/31968820450488371875*c_0110_2^3 - 1092097119136580639737/31968820450488371875*c_0110_2, c_0101_0 - 12638455707391172538336/25287336976336302153125*c_0110_2^20 + 188232711113664862764684/25287336976336302153125*c_0110_2^18 - 11535071751436651034276/25287336976336302153125*c_0110_2^16 - 1799662251106804506646642/25287336976336302153125*c_0110_2^14 + 6538422607813833401370963/25287336976336302153125*c_0110_2^12 - 23163057138064524707850954/25287336976336302153125*c_0110_2^10 + 739366520605941609928321/25287336976336302153125*c_0110_2^8 - 1239116245237804981446766/3612476710905186021875*c_0110_2^6 + 9865851454427735218767986/25287336976336302153125*c_0110_2^4 - 1186851417467451733517468/25287336976336302153125*c_0110_2^2 + 14106099196354500009929/25287336976336302153125, c_0101_1 - 5155675683430919051628/25287336976336302153125*c_0110_2^20 + 76899726862498300448332/25287336976336302153125*c_0110_2^18 - 6371265106279317610498/25287336976336302153125*c_0110_2^16 - 734290368021482320826191/25287336976336302153125*c_0110_2^14 + 2683480490585529706666974/25287336976336302153125*c_0110_2^12 - 9504925632681667294519292/25287336976336302153125*c_0110_2^10 + 499027645634536624195283/25287336976336302153125*c_0110_2^8 - 501807436359285133851268/3612476710905186021875*c_0110_2^6 + 4089616031999065515974828/25287336976336302153125*c_0110_2^4 - 586222807314729286453589/25287336976336302153125*c_0110_2^2 + 7578923390641834275092/25287336976336302153125, c_0101_2 + 15309297183450696/40576925322469375*c_0110_2^21 - 229946785626857524/40576925322469375*c_0110_2^19 + 42914326173913536/40576925322469375*c_0110_2^17 + 2176502218950289812/40576925322469375*c_0110_2^15 - 8195696364879561343/40576925322469375*c_0110_2^13 + 29075807425460676494/40576925322469375*c_0110_2^11 - 4501921476061385531/40576925322469375*c_0110_2^9 + 1546957876789028426/5796703617495625*c_0110_2^7 - 13281206536641088721/40576925322469375*c_0110_2^5 + 3018293115229553523/40576925322469375*c_0110_2^3 - 283278864782035219/40576925322469375*c_0110_2, c_0101_6 + 29885080912374900624476/25287336976336302153125*c_0110_2^20 - 447548320875600522275844/25287336976336302153125*c_0110_2^18 + 63734232876486311222266/25287336976336302153125*c_0110_2^16 + 4253841329334896172312347/25287336976336302153125*c_0110_2^14 - 15809947532343934935751708/25287336976336302153125*c_0110_2^12 + 56034570223839081942383164/25287336976336302153125*c_0110_2^10 - 6219029056013743666412736/25287336976336302153125*c_0110_2^8 + 2939362936379410471980481/3612476710905186021875*c_0110_2^6 - 24980121235472795470013876/25287336976336302153125*c_0110_2^4 + 4617007682030078961121288/25287336976336302153125*c_0110_2^2 - 185023824852965069768014/25287336976336302153125, c_0110_2^22 - 15*c_0110_2^20 + 5/2*c_0110_2^18 + 569/4*c_0110_2^16 - 1065/2*c_0110_2^14 + 7553/4*c_0110_2^12 - 255*c_0110_2^10 + 698*c_0110_2^8 - 3407/4*c_0110_2^6 + 711/4*c_0110_2^4 - 12*c_0110_2^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB