Magma V2.19-8 Tue Aug 20 2013 17:54:03 on localhost [Seed = 2648451839] Type ? for help. Type -D to quit. Loading file "8_3__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_3 geometric_solution 5.23868410 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 2031 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 -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 -0.251259291543 0.604856262711 0 4 2 5 0132 0132 1023 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 0 -1 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 0.603442206403 0.918009758302 3 0 1 0 3012 0132 1023 1302 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 -1 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 1.051460575410 0.908807774819 4 5 0 2 0321 2310 0132 1230 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 -1 1 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396557793597 0.918009758302 3 1 5 5 0321 0132 3012 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051460575410 0.908807774819 4 4 1 3 3201 1230 0132 3201 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 -1 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 0.352182914860 0.313153495591 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0101_1']})} 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_3, c_0011_5, c_0101_1, c_0101_2, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 143/122*c_0110_2^7 + 1433/610*c_0110_2^6 + 1671/610*c_0110_2^5 + 667/610*c_0110_2^4 - 751/305*c_0110_2^3 - 307/61*c_0110_2^2 - 637/610*c_0110_2 + 73/305, c_0011_0 - 1, c_0011_3 - 10/61*c_0110_2^7 + 119/122*c_0110_2^6 - 161/122*c_0110_2^5 + 159/122*c_0110_2^4 - 289/122*c_0110_2^3 + 1/61*c_0110_2^2 - 81/61*c_0110_2 - 39/122, c_0011_5 - 1125/122*c_0110_2^7 - 245/122*c_0110_2^6 - 2331/122*c_0110_2^5 - 313/122*c_0110_2^4 - 587/61*c_0110_2^3 - 20/61*c_0110_2^2 + 251/122*c_0110_2 - 159/61, c_0101_1 - 135/122*c_0110_2^7 + 117/122*c_0110_2^6 - 187/122*c_0110_2^5 + 265/122*c_0110_2^4 - 7/61*c_0110_2^3 + 22/61*c_0110_2^2 + 35/122*c_0110_2 - 63/61, c_0101_2 + 165/61*c_0110_2^7 + 19/122*c_0110_2^6 + 735/122*c_0110_2^5 - 153/122*c_0110_2^4 + 407/122*c_0110_2^3 - 108/61*c_0110_2^2 - 36/61*c_0110_2 + 3/122, c_0110_2^8 + 4/5*c_0110_2^7 + 11/5*c_0110_2^6 + 7/5*c_0110_2^5 + 6/5*c_0110_2^4 + 3/5*c_0110_2^3 - 1/5*c_0110_2^2 + 1/5*c_0110_2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB