Magma V2.19-8 Tue Aug 20 2013 23:44:58 on localhost [Seed = 1949438420] Type ? for help. Type -D to quit. Loading file "L14n55086__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55086 geometric_solution 10.49396559 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 3201 0132 0 1 0 1 0 0 -1 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 2 -2 -1 0 1 0 0 -2 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643731525910 0.498003462930 0 4 6 5 0132 0132 0132 0132 0 1 1 0 0 -2 2 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 3 -3 0 1 0 3 -4 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436838458908 1.101794717116 0 0 4 4 2310 0132 0132 2310 0 1 1 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 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028179747427 0.751819402416 7 8 0 4 0132 0132 0132 0132 0 1 1 0 0 -1 -1 2 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 2 -3 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436838458908 1.101794717116 2 1 3 2 3201 0132 0132 0132 0 1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643731525910 0.498003462930 7 9 1 7 2103 0132 0132 2031 0 1 1 1 0 0 0 0 0 0 -1 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 0 0 0 0 4 -4 4 -3 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176075926122 1.018918377501 10 8 10 1 0132 0321 3012 0132 0 1 0 2 0 1 1 -2 -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 -1 -2 3 3 0 0 -3 0 0 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176075926122 1.018918377501 3 5 5 10 0132 1302 2103 0132 1 1 0 1 0 -1 1 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 4 -4 0 0 0 0 0 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176075926122 1.018918377501 9 3 9 6 2103 0132 0132 0321 0 2 0 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 0 0 0 -1 0 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 0.176075926122 1.018918377501 10 5 8 8 3201 0132 2103 0132 0 2 1 1 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 0 0 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479849867061 0.593413717951 6 6 7 9 0132 1230 0132 2310 1 1 2 0 0 0 0 0 1 0 0 -1 -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 -3 0 0 3 4 -3 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479849867061 0.593413717951 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_4'], 'c_1010_10' : d['c_0101_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : negation(d['c_0011_5']), 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_1001_1'], 's_3_1' : negation(d['1']), 's_3_0' : 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_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' : negation(d['c_0011_5']), '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_3']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0101_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], '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_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : negation(d['c_0101_6']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_6']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_1001_1, c_1001_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1123568/45815*c_1001_4^8 + 328732/6545*c_1001_4^7 - 118766/4165*c_1001_4^6 + 1751066/45815*c_1001_4^5 - 6128643/91630*c_1001_4^4 - 47907/1309*c_1001_4^3 - 2324899/91630*c_1001_4^2 + 3470359/45815*c_1001_4 - 1064704/45815, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 1352/935*c_1001_4^8 - 4196/935*c_1001_4^7 + 6244/935*c_1001_4^6 - 8489/935*c_1001_4^5 + 11261/935*c_1001_4^4 - 1514/187*c_1001_4^3 + 538/85*c_1001_4^2 - 3491/935*c_1001_4 + 2566/935, c_0011_5 - 1316/935*c_1001_4^8 + 4058/935*c_1001_4^7 - 366/55*c_1001_4^6 + 18289/1870*c_1001_4^5 - 23411/1870*c_1001_4^4 + 1543/187*c_1001_4^3 - 12433/1870*c_1001_4^2 + 8091/1870*c_1001_4 - 4271/1870, c_0101_0 - 1, c_0101_1 - c_1001_4, c_0101_2 - 1864/935*c_1001_4^8 + 5172/935*c_1001_4^7 - 6988/935*c_1001_4^6 + 9833/935*c_1001_4^5 - 1177/85*c_1001_4^4 + 1336/187*c_1001_4^3 - 5711/935*c_1001_4^2 + 4337/935*c_1001_4 - 151/55, c_0101_6 + 514/935*c_1001_4^8 - 1777/935*c_1001_4^7 + 2993/935*c_1001_4^6 - 91/20*c_1001_4^5 + 23513/3740*c_1001_4^4 - 2153/374*c_1001_4^3 + 13839/3740*c_1001_4^2 - 11043/3740*c_1001_4 + 6673/3740, c_1001_1 - 1352/935*c_1001_4^8 + 4196/935*c_1001_4^7 - 6244/935*c_1001_4^6 + 8489/935*c_1001_4^5 - 11261/935*c_1001_4^4 + 1514/187*c_1001_4^3 - 453/85*c_1001_4^2 + 3491/935*c_1001_4 - 2566/935, c_1001_10 - 1352/935*c_1001_4^8 + 4196/935*c_1001_4^7 - 6244/935*c_1001_4^6 + 8489/935*c_1001_4^5 - 11261/935*c_1001_4^4 + 1514/187*c_1001_4^3 - 538/85*c_1001_4^2 + 3491/935*c_1001_4 - 2566/935, c_1001_4^9 - 7/2*c_1001_4^8 + 6*c_1001_4^7 - 69/8*c_1001_4^6 + 23/2*c_1001_4^5 - 77/8*c_1001_4^4 + 57/8*c_1001_4^3 - 5*c_1001_4^2 + 13/4*c_1001_4 - 7/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB