Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 4004475526] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s846 geometric_solution 5.44097345 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.093471481696 0.983365659599 0 3 5 4 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.816720735575 0.926838181787 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 1 0 -1 -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 0 0 0 1 0 0 -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 0.816720735575 0.926838181787 3 1 2 3 3201 0132 3201 2310 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.232718392635 0.625641716908 2 4 1 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737182602029 0.538772877300 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 -1 1 0 0 0 0 0 1 -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 -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 0.309203358571 0.612824473254 ==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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 134713242/32569*c_0101_3^14 - 9780730/32569*c_0101_3^13 - 246302964/32569*c_0101_3^12 - 353384948/32569*c_0101_3^11 - 261448521/32569*c_0101_3^10 + 276379310/32569*c_0101_3^9 + 358606353/32569*c_0101_3^8 + 527321577/32569*c_0101_3^7 + 263926278/32569*c_0101_3^6 - 629604876/32569*c_0101_3^5 - 415638982/32569*c_0101_3^4 + 239262029/32569*c_0101_3^3 + 166603975/32569*c_0101_3^2 - 31090906/32569*c_0101_3 - 22417301/32569, c_0011_0 - 1, c_0011_4 + 3161259/32569*c_0101_3^14 - 2327810/32569*c_0101_3^13 - 4743530/32569*c_0101_3^12 - 5277847/32569*c_0101_3^11 - 1895486/32569*c_0101_3^10 + 9347520/32569*c_0101_3^9 + 3957843/32569*c_0101_3^8 + 9665720/32569*c_0101_3^7 - 1265616/32569*c_0101_3^6 - 16488397/32569*c_0101_3^5 - 911292/32569*c_0101_3^4 + 7255419/32569*c_0101_3^3 + 652279/32569*c_0101_3^2 - 1055039/32569*c_0101_3 - 132711/32569, c_0101_0 + 2552724/32569*c_0101_3^14 + 2002505/32569*c_0101_3^13 - 6254689/32569*c_0101_3^12 - 10183227/32569*c_0101_3^11 - 8302401/32569*c_0101_3^10 + 4006369/32569*c_0101_3^9 + 13402567/32569*c_0101_3^8 + 12555679/32569*c_0101_3^7 + 10920920/32569*c_0101_3^6 - 12697632/32569*c_0101_3^5 - 19959618/32569*c_0101_3^4 + 4535257/32569*c_0101_3^3 + 9097639/32569*c_0101_3^2 - 568906/32569*c_0101_3 - 1378188/32569, c_0101_1 - 13339404/32569*c_0101_3^14 + 2588517/32569*c_0101_3^13 + 23253980/32569*c_0101_3^12 + 32302401/32569*c_0101_3^11 + 23261762/32569*c_0101_3^10 - 28267330/32569*c_0101_3^9 - 30417373/32569*c_0101_3^8 - 49727328/32569*c_0101_3^7 - 21385843/32569*c_0101_3^6 + 62149711/32569*c_0101_3^5 + 32110084/32569*c_0101_3^4 - 24272229/32569*c_0101_3^3 - 12137623/32569*c_0101_3^2 + 3250396/32569*c_0101_3 + 1527209/32569, c_0101_2 + 9*c_0101_3^14 + 5*c_0101_3^13 - 17*c_0101_3^12 - 34*c_0101_3^11 - 32*c_0101_3^10 + 8*c_0101_3^9 + 36*c_0101_3^8 + 50*c_0101_3^7 + 39*c_0101_3^6 - 32*c_0101_3^5 - 55*c_0101_3^4 - c_0101_3^3 + 22*c_0101_3^2 + 4*c_0101_3 - 3, c_0101_3^15 + 5/9*c_0101_3^14 - 17/9*c_0101_3^13 - 34/9*c_0101_3^12 - 32/9*c_0101_3^11 + 8/9*c_0101_3^10 + 4*c_0101_3^9 + 50/9*c_0101_3^8 + 13/3*c_0101_3^7 - 32/9*c_0101_3^6 - 55/9*c_0101_3^5 - 1/9*c_0101_3^4 + 22/9*c_0101_3^3 + 5/9*c_0101_3^2 - 1/3*c_0101_3 - 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB