Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 3103335612] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s468 geometric_solution 4.83313587 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 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 1 0 -1 0 0 1 -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 0.446315710115 0.287166975452 0 3 2 4 0132 0132 1230 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 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 0.415424220095 1.019542498230 3 0 4 1 3201 0132 0132 3012 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 0 -1 1 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 0.415424220095 1.019542498230 5 1 5 2 0132 0132 2310 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 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 0.131330276182 1.907589046382 4 4 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874215108654 1.240472525276 3 3 5 5 0132 3201 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 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 0.400918347462 0.141632994334 ==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_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_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_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : 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_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), '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_0011_4']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], '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_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 3090932732940491723634/1706266587689576561*c_0110_2^11 - 11415278565151529223004/1706266587689576561*c_0110_2^10 - 22016413931208279275701/1706266587689576561*c_0110_2^9 - 28978489481319218025991/1706266587689576561*c_0110_2^8 - 26741515845784557499146/1706266587689576561*c_0110_2^7 - 19797090151569915834219/1706266587689576561*c_0110_2^6 - 5233855151562285563024/1706266587689576561*c_0110_2^5 - 6685503047522108017744/1706266587689576561*c_0110_2^4 - 15998206905112499430112/1706266587689576561*c_0110_2^3 + 4104960956221645464511/1706266587689576561*c_0110_2^2 + 6620880967764979626081/1706266587689576561*c_0110_2 - 197078991433243154461/1706266587689576561, c_0011_0 - 1, c_0011_4 - 3985907659073298/315916790907161*c_0110_2^11 - 14331409797531799/315916790907161*c_0110_2^10 - 27345302235886110/315916790907161*c_0110_2^9 - 35455310915067236/315916790907161*c_0110_2^8 - 32351670548502697/315916790907161*c_0110_2^7 - 23671162701274525/315916790907161*c_0110_2^6 - 5548245436533508/315916790907161*c_0110_2^5 - 8704380170614141/315916790907161*c_0110_2^4 - 19397767384983720/315916790907161*c_0110_2^3 + 5838671510649040/315916790907161*c_0110_2^2 + 8172782658101656/315916790907161*c_0110_2 - 800962156973109/315916790907161, c_0101_0 + 2265139384457397588/1706266587689576561*c_0110_2^11 + 7725432616492046675/1706266587689576561*c_0110_2^10 + 15273237040961732988/1706266587689576561*c_0110_2^9 + 20861560504696473748/1706266587689576561*c_0110_2^8 + 20832851196032324613/1706266587689576561*c_0110_2^7 + 17300047205456364544/1706266587689576561*c_0110_2^6 + 6654576605179064681/1706266587689576561*c_0110_2^5 + 8501174975075243187/1706266587689576561*c_0110_2^4 + 9299851974810975592/1706266587689576561*c_0110_2^3 - 2598496040100158724/1706266587689576561*c_0110_2^2 - 1088924438157475965/1706266587689576561*c_0110_2 - 1658654109175485666/1706266587689576561, c_0101_1 - 3815923376917061928/1706266587689576561*c_0110_2^11 - 15204611647205738058/1706266587689576561*c_0110_2^10 - 28936492920004303135/1706266587689576561*c_0110_2^9 - 38560176621572422612/1706266587689576561*c_0110_2^8 - 34754184144570134941/1706266587689576561*c_0110_2^7 - 25987805751684748610/1706266587689576561*c_0110_2^6 - 7283309140702244944/1706266587689576561*c_0110_2^5 - 6995157328339902245/1706266587689576561*c_0110_2^4 - 26433950816980983957/1706266587689576561*c_0110_2^3 + 6614069404252876805/1706266587689576561*c_0110_2^2 + 8170904671603630326/1706266587689576561*c_0110_2 - 658314708310373727/1706266587689576561, c_0101_3 + 3004062761277018/315916790907161*c_0110_2^11 + 10268246591817677/315916790907161*c_0110_2^10 + 18830369584506784/315916790907161*c_0110_2^9 + 23405205755412379/315916790907161*c_0110_2^8 + 20093918096968316/315916790907161*c_0110_2^7 + 13936234750913227/315916790907161*c_0110_2^6 + 1233999182025193/315916790907161*c_0110_2^5 + 6013850824918798/315916790907161*c_0110_2^4 + 13249464213655312/315916790907161*c_0110_2^3 - 6574366295144902/315916790907161*c_0110_2^2 - 5078010735597397/315916790907161*c_0110_2 + 762697817774284/315916790907161, c_0110_2^12 + 223/63*c_0110_2^11 + 59/9*c_0110_2^10 + 58/7*c_0110_2^9 + 65/9*c_0110_2^8 + 107/21*c_0110_2^7 + 46/63*c_0110_2^6 + 121/63*c_0110_2^5 + 34/7*c_0110_2^4 - 134/63*c_0110_2^3 - 121/63*c_0110_2^2 + 25/63*c_0110_2 - 1/63 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB