Magma V2.19-8 Tue Aug 20 2013 16:16:28 on localhost [Seed = 3869735424] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0748 geometric_solution 4.69388400 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 -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 0.603657465690 0.186210627835 2 0 2 0 0132 2310 1023 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 -1 1 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 0.883707457995 0.280392940008 1 3 1 4 0132 0132 1023 0132 0 0 0 0 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 0 0 0 0 1 -1 -1 0 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 1.278030813902 0.484980408928 4 2 5 4 3012 0132 0132 1230 0 0 0 0 0 0 0 0 -1 0 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 1.215386842167 0.710327071991 3 5 2 3 3012 3201 0132 1230 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 0 1 -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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.215386842167 0.710327071991 6 6 4 3 0132 3201 2310 0132 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 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 0.461972047610 0.775488365176 5 6 5 6 0132 2310 2310 3201 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 0 0 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 0 0 0 0 0 0 0 -0.915098075205 0.520027639973 ==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' : d['1'], 's_3_4' : 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' : 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' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_5']), '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 249073949246389580130/874267005311840411*c_0101_5^10 - 3276326591701630313108/874267005311840411*c_0101_5^9 + 10967283305834545969891/874267005311840411*c_0101_5^8 + 1528919543737552259214/874267005311840411*c_0101_5^7 - 173029242819581080924970/874267005311840411*c_0101_5^6 - 595514570699820065992426/874267005311840411*c_0101_5^5 + 207739693286526988053213/874267005311840411*c_0101_5^4 + 7691337014300069906685/38011608926601757*c_0101_5^3 + 8751488097837242184629/874267005311840411*c_0101_5^2 + 5310104772546742381593/874267005311840411*c_0101_5 + 1558957395446486475897/874267005311840411, c_0011_0 - 1, c_0011_1 - 36281578667733080/38011608926601757*c_0101_5^10 + 478375657059550327/38011608926601757*c_0101_5^9 - 1612261060451174706/38011608926601757*c_0101_5^8 - 174667108554883319/38011608926601757*c_0101_5^7 + 25216787119315600370/38011608926601757*c_0101_5^6 + 85963173563605881827/38011608926601757*c_0101_5^5 - 33034763240131085464/38011608926601757*c_0101_5^4 - 25100319891328199560/38011608926601757*c_0101_5^3 - 358420620427277564/38011608926601757*c_0101_5^2 - 720895821435760655/38011608926601757*c_0101_5 - 205622528293614989/38011608926601757, c_0011_5 - 20193129083957488/38011608926601757*c_0101_5^10 + 266125010566747107/38011608926601757*c_0101_5^9 - 895644482696541683/38011608926601757*c_0101_5^8 - 103536499969900518/38011608926601757*c_0101_5^7 + 14037201745095131655/38011608926601757*c_0101_5^6 + 47929847168001862382/38011608926601757*c_0101_5^5 - 18139406328503330733/38011608926601757*c_0101_5^4 - 14225757802341080982/38011608926601757*c_0101_5^3 - 195680319456755088/38011608926601757*c_0101_5^2 - 348601149471236433/38011608926601757*c_0101_5 - 110918589634334218/38011608926601757, c_0101_0 + 17063679956207711/38011608926601757*c_0101_5^10 - 226547640893604516/38011608926601757*c_0101_5^9 + 779269904683996649/38011608926601757*c_0101_5^8 + 7219871333133362/38011608926601757*c_0101_5^7 - 11847788848370632737/38011608926601757*c_0101_5^6 - 39346496232621361042/38011608926601757*c_0101_5^5 + 18951226241241227316/38011608926601757*c_0101_5^4 + 9458273992911309324/38011608926601757*c_0101_5^3 - 377970649721912936/38011608926601757*c_0101_5^2 + 422378704053224992/38011608926601757*c_0101_5 + 75572810716746394/38011608926601757, c_0101_1 - 15836211421965497/38011608926601757*c_0101_5^10 + 208961362722110748/38011608926601757*c_0101_5^9 - 705839590342036874/38011608926601757*c_0101_5^8 - 68937760165850715/38011608926601757*c_0101_5^7 + 11006525951303964328/38011608926601757*c_0101_5^6 + 37411032028841239050/38011608926601757*c_0101_5^5 - 14786523416660970164/38011608926601757*c_0101_5^4 - 10789925542189238997/38011608926601757*c_0101_5^3 - 104304642319575415/38011608926601757*c_0101_5^2 - 306049758184225811/38011608926601757*c_0101_5 - 63277656606877668/38011608926601757, c_0101_3 - 6967372540830382/38011608926601757*c_0101_5^10 + 91724040177077818/38011608926601757*c_0101_5^9 - 307770401538242870/38011608926601757*c_0101_5^8 - 39564372327974936/38011608926601757*c_0101_5^7 + 4841269371307856400/38011608926601757*c_0101_5^6 + 16604715633059318259/38011608926601757*c_0101_5^5 - 5992981785882635327/38011608926601757*c_0101_5^4 - 4878200097188699377/38011608926601757*c_0101_5^3 - 135734567905314166/38011608926601757*c_0101_5^2 - 187156593496281142/38011608926601757*c_0101_5 - 29696251793534426/38011608926601757, c_0101_5^11 - 13*c_0101_5^10 + 42*c_0101_5^9 + 13*c_0101_5^8 - 694*c_0101_5^7 - 2498*c_0101_5^6 + 470*c_0101_5^5 + 854*c_0101_5^4 + 142*c_0101_5^3 + 22*c_0101_5^2 + 9*c_0101_5 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_5, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1818749/71580*c_0101_5^10 + 161327/11930*c_0101_5^9 - 713948/17895*c_0101_5^8 + 1260877/23860*c_0101_5^7 + 16701163/35790*c_0101_5^6 + 3028657/23860*c_0101_5^5 + 11732271/23860*c_0101_5^4 - 6110372/17895*c_0101_5^3 - 3382691/14316*c_0101_5^2 - 415611/5965*c_0101_5 - 9530623/71580, c_0011_0 - 1, c_0011_1 - 143643/882820*c_0101_5^10 + 33211/220705*c_0101_5^9 - 149497/441410*c_0101_5^8 + 392287/882820*c_0101_5^7 + 1239651/441410*c_0101_5^6 - 262163/882820*c_0101_5^5 + 3425761/882820*c_0101_5^4 - 628074/220705*c_0101_5^3 + 6663/176564*c_0101_5^2 - 123277/441410*c_0101_5 - 793471/882820, c_0011_5 - 10799/882820*c_0101_5^10 - 2927/220705*c_0101_5^9 - 19321/441410*c_0101_5^8 + 37371/882820*c_0101_5^7 + 84383/441410*c_0101_5^6 + 552901/882820*c_0101_5^5 + 791493/882820*c_0101_5^4 - 27582/220705*c_0101_5^3 + 36875/176564*c_0101_5^2 - 622681/441410*c_0101_5 - 143643/882820, c_0101_0 - 32297/441410*c_0101_5^10 - 24899/441410*c_0101_5^9 + 2009/441410*c_0101_5^8 - 7851/220705*c_0101_5^7 + 357764/220705*c_0101_5^6 + 860443/441410*c_0101_5^5 + 144377/220705*c_0101_5^4 + 112438/220705*c_0101_5^3 - 196533/88282*c_0101_5^2 + 243129/441410*c_0101_5 - 16402/220705, c_0101_1 - 15305/44141*c_0101_5^10 + 26209/88282*c_0101_5^9 - 58777/88282*c_0101_5^8 + 81457/88282*c_0101_5^7 + 266490/44141*c_0101_5^6 - 8595/44141*c_0101_5^5 + 625043/88282*c_0101_5^4 - 279512/44141*c_0101_5^3 - 20236/44141*c_0101_5^2 - 77169/88282*c_0101_5 - 58973/88282, c_0101_3 - 54809/882820*c_0101_5^10 + 6361/441410*c_0101_5^9 - 35593/220705*c_0101_5^8 + 163471/882820*c_0101_5^7 + 457583/441410*c_0101_5^6 + 681331/882820*c_0101_5^5 + 2241553/882820*c_0101_5^4 - 205287/220705*c_0101_5^3 + 66197/176564*c_0101_5^2 - 229198/220705*c_0101_5 - 449743/882820, c_0101_5^11 - c_0101_5^10 + 2*c_0101_5^9 - 3*c_0101_5^8 - 17*c_0101_5^7 + 3*c_0101_5^6 - 20*c_0101_5^5 + 23*c_0101_5^4 - c_0101_5^3 + 3*c_0101_5^2 + 3*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB