Magma V2.19-8 Tue Aug 20 2013 17:56:14 on localhost [Seed = 2463311196] Type ? for help. Type -D to quit. Loading file "11_231__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_231 geometric_solution 9.97833029 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 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 -0.132234756051 0.487340334730 0 5 7 6 0132 0132 0132 0132 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 -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 0.201881124015 1.873541101668 5 0 8 8 0132 0132 2103 0132 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 -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 0.499684167758 1.198043263713 6 7 7 0 1302 1230 2310 0132 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 0 -1 1 0 0 -1 0 0 0 0 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606253898954 1.037140872556 9 9 0 10 0132 3201 0132 0132 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 -1 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 0 0 0 0.173532530670 0.776736108944 2 1 6 6 0132 0132 3201 0213 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 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 -0.190498662235 0.786872409479 5 3 1 5 2310 2031 0132 0213 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584593577561 0.386393174166 10 3 3 1 3201 3201 3012 0132 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 5 -4 -1 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 0.606253898954 1.037140872556 2 10 2 9 2103 2031 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 -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 0.703450112082 0.711008309847 4 8 4 10 0132 1302 2310 3201 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 -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 0.148068403595 0.734503683662 8 9 4 7 1302 2310 0132 2310 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 0.912895796568 1.462583635261 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_2']), 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : d['c_0110_8'], 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_8']), '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_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : 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_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0110_8']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_1001_1'], 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0110_8']), 'c_1100_10' : d['c_0011_7'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_0110_8'], 'c_1010_8' : d['c_0011_10'], '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_9' : 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_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0110_10' : negation(d['c_0101_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0101_2'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0110_8'], '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_0101_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 83639/551*c_1001_1^4 - 371005/551*c_1001_1^3 - 492257/551*c_1001_1^2 - 111526/551*c_1001_1 + 150225/551, c_0011_0 - 1, c_0011_10 - c_1001_1^4 - 2*c_1001_1^3 + c_1001_1^2 + 2*c_1001_1 - 1, c_0011_3 - c_1001_1^4 - 3*c_1001_1^3 - 2*c_1001_1^2 + c_1001_1, c_0011_7 + c_1001_1^4 + 2*c_1001_1^3 + 2*c_1001_1^2 + c_1001_1 - 1, c_0011_8 + c_1001_1^4 + 2*c_1001_1^3 - c_1001_1, c_0101_0 + c_1001_1^3 + 2*c_1001_1^2 + c_1001_1 - 1, c_0101_1 - c_1001_1^2 - c_1001_1 + 1, c_0101_2 - c_1001_1^2 - c_1001_1 + 1, c_0101_7 + c_1001_1^4 + 2*c_1001_1^3 + c_1001_1^2 - 1, c_0110_8 + c_1001_1^4 + 2*c_1001_1^3 - c_1001_1^2 - 2*c_1001_1 + 1, c_1001_1^5 + 4*c_1001_1^4 + 4*c_1001_1^3 - c_1001_1^2 - 2*c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.170 Total time: 0.390 seconds, Total memory usage: 32.09MB