Magma V2.19-8 Tue Aug 20 2013 16:14:11 on localhost [Seed = 2800171648] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s157 geometric_solution 4.24014856 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 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 1 0 -1 -1 0 1 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627340634885 0.563344120602 3 2 2 0 0132 3012 1230 0132 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 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 1.117556228041 0.792423578278 1 3 0 1 1230 3201 0132 3012 0 0 0 0 0 -1 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 -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 1.117556228041 0.792423578278 1 4 2 4 0132 0132 2310 2310 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.242861410011 0.583381723560 3 3 5 5 3201 0132 3201 0132 0 0 0 0 0 -1 0 1 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 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 0.433130301925 0.291988037079 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 0 -1 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 0 -1 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 -1.323210276945 0.404359934750 ==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_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_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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_5, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 21466315441495/236149702711504*c_0101_5^13 - 133782933358371/59037425677876*c_0101_5^12 + 3879597400793361/236149702711504*c_0101_5^11 - 7540192854380443/236149702711504*c_0101_5^10 - 15125429407448397/236149702711504*c_0101_5^9 + 79461585318869577/236149702711504*c_0101_5^8 - 58362939312225053/118074851355752*c_0101_5^7 + 37937084157049639/236149702711504*c_0101_5^6 + 116387374430587639/236149702711504*c_0101_5^5 - 161334608188959623/236149702711504*c_0101_5^4 + 65866395511168759/236149702711504*c_0101_5^3 + 4199334418919035/236149702711504*c_0101_5^2 - 1230185597901723/29518712838938*c_0101_5 + 4007246325259843/236149702711504, c_0011_0 - 1, c_0011_1 + 609575548154/14759356419469*c_0101_5^13 - 5308086031505/14759356419469*c_0101_5^12 + 1999644918413/14759356419469*c_0101_5^11 + 54468085881318/14759356419469*c_0101_5^10 - 89858614473655/14759356419469*c_0101_5^9 - 82639611466844/14759356419469*c_0101_5^8 + 348057982166611/14759356419469*c_0101_5^7 - 311612644233201/14759356419469*c_0101_5^6 - 192515422609418/14759356419469*c_0101_5^5 + 467153469699610/14759356419469*c_0101_5^4 - 181532213625757/14759356419469*c_0101_5^3 - 25888983054300/14759356419469*c_0101_5^2 + 36400675590149/14759356419469*c_0101_5 - 15254240001729/14759356419469, c_0011_5 - 2921507786041/14759356419469*c_0101_5^13 + 34653227119616/14759356419469*c_0101_5^12 - 108568503891922/14759356419469*c_0101_5^11 - 29895666587284/14759356419469*c_0101_5^10 + 790110355699856/14759356419469*c_0101_5^9 - 1712804288286850/14759356419469*c_0101_5^8 + 1359582263596587/14759356419469*c_0101_5^7 + 748229958819291/14759356419469*c_0101_5^6 - 2536530203597429/14759356419469*c_0101_5^5 + 1995502137447121/14759356419469*c_0101_5^4 - 431166743531761/14759356419469*c_0101_5^3 - 275785946419021/14759356419469*c_0101_5^2 + 235855332327907/14759356419469*c_0101_5 - 70676096254361/14759356419469, c_0101_1 - 2797497720/8448400927*c_0101_5^13 + 32203094573/8448400927*c_0101_5^12 - 93330110280/8448400927*c_0101_5^11 - 54450851785/8448400927*c_0101_5^10 + 721680707920/8448400927*c_0101_5^9 - 1411004925704/8448400927*c_0101_5^8 + 948369790543/8448400927*c_0101_5^7 + 835196974165/8448400927*c_0101_5^6 - 2053367801142/8448400927*c_0101_5^5 + 1384742431914/8448400927*c_0101_5^4 - 209765580416/8448400927*c_0101_5^3 - 207338787053/8448400927*c_0101_5^2 + 158199748915/8448400927*c_0101_5 - 45003387839/8448400927, c_0101_2 + 2106681803549/14759356419469*c_0101_5^13 - 23773249930841/14759356419469*c_0101_5^12 + 65916713134705/14759356419469*c_0101_5^11 + 45388027457900/14759356419469*c_0101_5^10 - 512040184038150/14759356419469*c_0101_5^9 + 996046481591372/14759356419469*c_0101_5^8 - 702679414975831/14759356419469*c_0101_5^7 - 546772615414694/14759356419469*c_0101_5^6 + 1453544717430740/14759356419469*c_0101_5^5 - 1094246556980939/14759356419469*c_0101_5^4 + 217834339987068/14759356419469*c_0101_5^3 + 212588590713291/14759356419469*c_0101_5^2 - 141488669204754/14759356419469*c_0101_5 + 35801942052718/14759356419469, c_0101_5^14 - 12*c_0101_5^13 + 39*c_0101_5^12 + 3*c_0101_5^11 - 267*c_0101_5^10 + 631*c_0101_5^9 - 590*c_0101_5^8 - 127*c_0101_5^7 + 881*c_0101_5^6 - 865*c_0101_5^5 + 329*c_0101_5^4 + 37*c_0101_5^3 - 96*c_0101_5^2 + 45*c_0101_5 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB