Magma V2.19-8 Tue Aug 20 2013 16:17:18 on localhost [Seed = 1629552052] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1534 geometric_solution 5.32958528 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1302 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 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 1.193546999033 1.388415368166 0 4 5 4 0132 0132 0132 3012 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 0.693320900417 0.492055471704 6 0 0 5 0132 0132 2031 1230 0 0 0 0 0 1 -1 0 0 0 -1 1 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 0 0 0 0 0 1 -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 0.643956625190 0.414173965266 6 6 5 0 2103 0132 0213 0132 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 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 0.463683729484 0.252720373708 5 1 1 6 2031 0132 1230 1023 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 0.990999525913 0.442996108548 2 3 4 1 3012 0213 1302 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 -0.261136256364 0.692698885910 2 3 3 4 0132 0132 2103 1023 0 0 0 0 0 0 0 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 -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 1.525781240938 0.718971298477 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_4']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 96/13*c_0110_4^6 - 441/13*c_0110_4^5 + 646/13*c_0110_4^4 + 95/13*c_0110_4^3 - 947/13*c_0110_4^2 + 510/13*c_0110_4 + 179/13, c_0011_0 - 1, c_0011_5 - c_0110_4^6 + 4*c_0110_4^5 - 3*c_0110_4^4 - 9*c_0110_4^3 + 13*c_0110_4^2 + 4*c_0110_4 - 10, c_0101_0 + c_0110_4^6 - 4*c_0110_4^5 + 3*c_0110_4^4 + 9*c_0110_4^3 - 13*c_0110_4^2 - 4*c_0110_4 + 10, c_0101_1 - c_0110_4^6 + 4*c_0110_4^5 - 3*c_0110_4^4 - 8*c_0110_4^3 + 12*c_0110_4^2 + 3*c_0110_4 - 8, c_0101_2 + c_0110_4^3 - 2*c_0110_4^2 - c_0110_4 + 3, c_0101_4 - c_0110_4^6 + 4*c_0110_4^5 - 2*c_0110_4^4 - 11*c_0110_4^3 + 13*c_0110_4^2 + 7*c_0110_4 - 12, c_0110_4^7 - 5*c_0110_4^6 + 7*c_0110_4^5 + 6*c_0110_4^4 - 23*c_0110_4^3 + 11*c_0110_4^2 + 15*c_0110_4 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB