Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 1393741700] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1553 geometric_solution 5.34272228 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 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 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 0 0 0 0.219954229530 1.596713105672 3 0 5 4 0132 0132 0132 0132 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 -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 0.422887629334 0.140130630240 4 5 0 3 1230 0132 0132 3201 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 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 0.446379879544 0.565921914553 1 2 6 6 0132 2310 0132 2031 0 0 0 0 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 0 0 0 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 0 0 0 1.011394853494 1.874872886097 6 2 1 5 0132 3012 0132 3120 0 0 0 0 0 0 1 -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 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 1.253553514094 1.369377285870 4 2 6 1 3120 0132 0321 0132 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 -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 0.656784223754 0.749056968650 4 3 5 3 0132 1302 0321 0132 0 0 0 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 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 -0.699039427900 0.597295012771 ==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_2_6' : d['1'], 's_1_6' : 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_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_1001_3']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0101_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_1001_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_1001_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_2, c_0011_4, c_0101_1, c_0101_3, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 2712/1225*c_1001_3^6 - 1859/1225*c_1001_3^5 + 3133/1225*c_1001_3^4 - 481/49*c_1001_3^3 + 1698/175*c_1001_3^2 + 3502/1225*c_1001_3 + 7173/1225, c_0011_0 - 1, c_0011_2 + 39/49*c_1001_3^6 + 24/49*c_1001_3^5 - 52/49*c_1001_3^4 + 176/49*c_1001_3^3 - 4*c_1001_3^2 - 68/49*c_1001_3 - 23/49, c_0011_4 + 19/49*c_1001_3^6 + 23/49*c_1001_3^5 - 9/49*c_1001_3^4 + 87/49*c_1001_3^3 - c_1001_3^2 - 57/49*c_1001_3 - 69/49, c_0101_1 - 30/49*c_1001_3^6 - 26/49*c_1001_3^5 + 40/49*c_1001_3^4 - 109/49*c_1001_3^3 + 2*c_1001_3^2 + 90/49*c_1001_3 + 78/49, c_0101_3 + 6/49*c_1001_3^6 + 15/49*c_1001_3^5 - 8/49*c_1001_3^4 + 12/49*c_1001_3^3 + c_1001_3^2 - 67/49*c_1001_3 + 4/49, c_1001_1 + 39/49*c_1001_3^6 + 24/49*c_1001_3^5 - 52/49*c_1001_3^4 + 176/49*c_1001_3^3 - 4*c_1001_3^2 - 117/49*c_1001_3 - 23/49, c_1001_3^7 + c_1001_3^6 - c_1001_3^5 + 4*c_1001_3^4 - 3*c_1001_3^3 - 3*c_1001_3^2 - 3*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB