Magma V2.19-8 Tue Aug 20 2013 16:14:20 on localhost [Seed = 2951623564] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s316 geometric_solution 4.49391626 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 -1 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 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 -0.151798732649 1.232187885723 0 0 1 1 0132 3201 2031 1302 0 0 0 0 0 0 -1 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432270055684 0.102015806808 3 0 3 4 3201 0132 3012 0132 0 0 0 0 0 1 0 -1 -1 0 1 0 -1 0 0 1 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285480013906 1.174420844067 4 2 0 2 3201 1230 0132 2310 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285480013906 1.174420844067 5 5 2 3 0132 3201 0132 2310 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 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 0.298871644898 0.840994412486 4 5 4 5 0132 2310 2310 3201 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 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 -0.864756138565 0.610423739491 ==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' : 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' : d['c_0011_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_1'], '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_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_1']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 460/43*c_0101_2^13 - 11993/43*c_0101_2^12 - 11895/43*c_0101_2^11 + 60786/43*c_0101_2^10 - 2389/43*c_0101_2^9 - 90048/43*c_0101_2^8 + 68046/43*c_0101_2^7 + 32187/43*c_0101_2^6 - 59341/43*c_0101_2^5 + 20307/43*c_0101_2^4 + 6446/43*c_0101_2^3 - 6703/43*c_0101_2^2 + 2242/43*c_0101_2 - 366/43, c_0011_0 - 1, c_0011_3 - 2481/43*c_0101_2^13 - 58519/43*c_0101_2^12 + 82189/43*c_0101_2^11 + 150742/43*c_0101_2^10 - 299046/43*c_0101_2^9 - 14626/43*c_0101_2^8 + 369906/43*c_0101_2^7 - 230414/43*c_0101_2^6 - 117391/43*c_0101_2^5 + 189297/43*c_0101_2^4 - 52421/43*c_0101_2^3 - 28805/43*c_0101_2^2 + 21549/43*c_0101_2 - 3978/43, c_0011_4 - 579/43*c_0101_2^13 - 13657/43*c_0101_2^12 + 19117/43*c_0101_2^11 + 33859/43*c_0101_2^10 - 66451/43*c_0101_2^9 - 3143/43*c_0101_2^8 + 78947/43*c_0101_2^7 - 47557/43*c_0101_2^6 - 24740/43*c_0101_2^5 + 37790/43*c_0101_2^4 - 9563/43*c_0101_2^3 - 5816/43*c_0101_2^2 + 4003/43*c_0101_2 - 674/43, c_0101_0 + 1369/43*c_0101_2^13 + 32013/43*c_0101_2^12 - 51989/43*c_0101_2^11 - 76366/43*c_0101_2^10 + 181463/43*c_0101_2^9 - 13598/43*c_0101_2^8 - 211412/43*c_0101_2^7 + 152244/43*c_0101_2^6 + 57260/43*c_0101_2^5 - 114376/43*c_0101_2^4 + 35884/43*c_0101_2^3 + 16162/43*c_0101_2^2 - 13363/43*c_0101_2 + 2572/43, c_0101_1 + 1497/43*c_0101_2^13 + 35456/43*c_0101_2^12 - 46258/43*c_0101_2^11 - 98523/43*c_0101_2^10 + 178736/43*c_0101_2^9 + 25850/43*c_0101_2^8 - 236036/43*c_0101_2^7 + 131632/43*c_0101_2^6 + 85177/43*c_0101_2^5 - 118958/43*c_0101_2^4 + 28786/43*c_0101_2^3 + 19638/43*c_0101_2^2 - 13294/43*c_0101_2 + 2319/43, c_0101_2^14 + 23*c_0101_2^13 - 47*c_0101_2^12 - 42*c_0101_2^11 + 158*c_0101_2^10 - 65*c_0101_2^9 - 156*c_0101_2^8 + 184*c_0101_2^7 - 7*c_0101_2^6 - 107*c_0101_2^5 + 68*c_0101_2^4 - c_0101_2^3 - 16*c_0101_2^2 + 7*c_0101_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB