Magma V2.19-8 Tue Aug 20 2013 16:17:26 on localhost [Seed = 3583265055] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1666 geometric_solution 5.39985735 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 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 -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 0.445142585594 0.256154263085 0 3 0 3 0132 0132 2310 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.687636084475 0.971138667844 4 0 5 0 0132 2310 0132 0132 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 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 0.867221329931 0.714984404759 1 1 4 5 3201 0132 3012 1230 0 0 0 0 0 1 -1 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 1 -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 0.251078699015 1.352004460276 2 3 4 4 0132 1230 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 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.077589029497 1.055859317767 3 6 6 2 3012 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722028769783 0.615446132754 5 5 6 6 2310 0132 1230 3012 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 0 0 0 1.674400881659 0.506933985659 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), '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_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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 571004742105/34005213707*c_0101_6^14 + 62510185724095/544083419312*c_0101_6^13 - 1966005510321/136020854828*c_0101_6^12 - 407309875160185/544083419312*c_0101_6^11 + 651854882037223/544083419312*c_0101_6^10 + 390654683870163/272041709656*c_0101_6^9 - 1693010598956993/544083419312*c_0101_6^8 - 66561918251058/34005213707*c_0101_6^7 + 428811381048065/136020854828*c_0101_6^6 + 42425106155463/136020854828*c_0101_6^5 - 633352823284503/272041709656*c_0101_6^4 + 301097596546913/544083419312*c_0101_6^3 + 379676892339579/272041709656*c_0101_6^2 + 19904044266456/34005213707*c_0101_6 + 97947318221025/544083419312, c_0011_0 - 1, c_0011_2 - 48935726749/544083419312*c_0101_6^14 + 188278047093/272041709656*c_0101_6^13 - 359723988327/544083419312*c_0101_6^12 - 1902612124617/544083419312*c_0101_6^11 + 321612232214/34005213707*c_0101_6^10 - 70765637015/544083419312*c_0101_6^9 - 2363491109271/136020854828*c_0101_6^8 + 155807952848/34005213707*c_0101_6^7 + 493496975400/34005213707*c_0101_6^6 - 3367515468409/272041709656*c_0101_6^5 - 1470354726907/544083419312*c_0101_6^4 + 244018757266/34005213707*c_0101_6^3 + 234644489139/272041709656*c_0101_6^2 + 1023584865107/544083419312*c_0101_6 + 17093613581/34005213707, c_0101_0 - 99678214267/544083419312*c_0101_6^14 + 45859417751/34005213707*c_0101_6^13 - 471357425509/544083419312*c_0101_6^12 - 4155430334593/544083419312*c_0101_6^11 + 4582148188453/272041709656*c_0101_6^10 + 3728900681719/544083419312*c_0101_6^9 - 9862750352795/272041709656*c_0101_6^8 - 161034897970/34005213707*c_0101_6^7 + 1277711836197/34005213707*c_0101_6^6 - 3798691367115/272041709656*c_0101_6^5 - 11287799384529/544083419312*c_0101_6^4 + 4298474716243/272041709656*c_0101_6^3 + 2486243075425/272041709656*c_0101_6^2 + 888633829729/544083419312*c_0101_6 + 42539743153/272041709656, c_0101_1 + 1, c_0101_2 - 20457815561/544083419312*c_0101_6^14 + 163243007773/544083419312*c_0101_6^13 - 212254999091/544083419312*c_0101_6^12 - 306131543221/272041709656*c_0101_6^11 + 2169642454329/544083419312*c_0101_6^10 - 1131789295789/544083419312*c_0101_6^9 - 1945610512415/544083419312*c_0101_6^8 + 195965504113/136020854828*c_0101_6^7 + 167290828349/68010427414*c_0101_6^6 - 1101324634713/272041709656*c_0101_6^5 + 786828057247/544083419312*c_0101_6^4 + 651405244481/544083419312*c_0101_6^3 - 86941489867/136020854828*c_0101_6^2 + 1217293188719/544083419312*c_0101_6 - 10982562369/544083419312, c_0101_5 - 48876135849/544083419312*c_0101_6^14 + 181810725539/272041709656*c_0101_6^13 - 266587628473/544083419312*c_0101_6^12 - 1968361666085/544083419312*c_0101_6^11 + 580708450721/68010427414*c_0101_6^10 + 1078813987181/544083419312*c_0101_6^9 - 4558045052397/272041709656*c_0101_6^8 + 34693190457/68010427414*c_0101_6^7 + 469203235256/34005213707*c_0101_6^6 - 2151509984053/272041709656*c_0101_6^5 - 2560606340887/544083419312*c_0101_6^4 + 194944704612/34005213707*c_0101_6^3 + 229616237193/136020854828*c_0101_6^2 + 1221098097107/544083419312*c_0101_6 + 128976224355/272041709656, c_0101_6^15 - 7*c_0101_6^14 + 2*c_0101_6^13 + 44*c_0101_6^12 - 78*c_0101_6^11 - 72*c_0101_6^10 + 193*c_0101_6^9 + 87*c_0101_6^8 - 196*c_0101_6^7 + 10*c_0101_6^6 + 133*c_0101_6^5 - 49*c_0101_6^4 - 75*c_0101_6^3 - 25*c_0101_6^2 - 7*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB