Magma V2.19-8 Tue Aug 20 2013 23:30:39 on localhost [Seed = 2312105914] Type ? for help. Type -D to quit. Loading file "L12n687__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n687 geometric_solution 8.17413813 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 1 2 3 0132 1302 0132 0132 0 0 0 1 0 -1 -1 2 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 -1 0 1 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.020484723447 1.185139789755 0 4 5 0 0132 0132 0132 2031 0 0 1 0 0 -1 0 1 -1 0 0 1 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 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 0.417214843293 0.484532399459 6 7 5 0 0132 0132 2310 0132 0 0 1 0 0 0 -1 1 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 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.104866892753 0.564756580696 8 7 0 6 0132 2031 0132 2031 0 0 1 0 0 1 -2 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 -1 1 -1 0 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 0.979515276553 1.185139789755 8 1 8 7 2103 0132 0213 2103 0 0 0 1 0 1 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 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 0.641382301206 1.026633824605 6 2 8 1 3120 3201 2031 0132 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 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 0.913692752458 1.663103644356 2 3 7 5 0132 1302 1023 3120 0 0 0 1 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 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 -0.086307247542 1.663103644356 3 2 6 4 1302 0132 1023 2103 0 0 0 1 0 0 0 0 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 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 0.268184478448 1.209737342631 3 4 4 5 0132 0213 2103 1302 0 0 0 1 0 0 0 0 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 1 0 -1 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.562300433260 0.700607390297 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0110_7']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_8' : d['c_0011_0'], 's_2_8' : 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_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_8' : d['c_0101_5'], 'c_1100_5' : d['c_0110_7'], 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : negation(d['c_0101_5']), 'c_1100_1' : d['c_0110_7'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0110_7']), 'c_1010_8' : negation(d['c_0110_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_5, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 477/490*c_1001_1^4 + 467/245*c_1001_1^3 - 769/490*c_1001_1^2 + 27/10*c_1001_1 + 1614/245, c_0011_0 - 1, c_0011_2 - 19/147*c_1001_1^4 + 22/147*c_1001_1^3 + 4/49*c_1001_1^2 + 2/3*c_1001_1 + 152/147, c_0011_3 - 5/147*c_1001_1^4 + 29/147*c_1001_1^3 - 17/49*c_1001_1^2 + 1/3*c_1001_1 + 40/147, c_0011_5 + 1/49*c_1001_1^4 + 4/49*c_1001_1^3 + 20/49*c_1001_1^2 - 8/49, c_0101_0 - 11/147*c_1001_1^4 + 5/147*c_1001_1^3 - 8/49*c_1001_1^2 + 1/3*c_1001_1 + 88/147, c_0101_1 - 1, c_0101_5 + 10/49*c_1001_1^4 - 9/49*c_1001_1^3 + 4/49*c_1001_1^2 - 31/49, c_0110_7 - 2/49*c_1001_1^4 - 8/49*c_1001_1^3 + 9/49*c_1001_1^2 + 16/49, c_1001_1^5 - c_1001_1^4 - 2*c_1001_1^2 - 8*c_1001_1 - 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB