Magma V2.19-8 Tue Aug 20 2013 23:56:06 on localhost [Seed = 998069017] Type ? for help. Type -D to quit. Loading file "L14n14356__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n14356 geometric_solution 10.92709835 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 2 -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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583592983042 0.628837425074 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 -1 1 0 0 0 0 0 0 1 0 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -11 11 0 0 0 0 0 1 10 0 -11 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555814359383 1.043721275697 8 0 9 4 0132 0132 0132 0213 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032291308507 0.583639578647 8 10 10 0 2031 0132 0321 0132 1 1 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 1 0 -1 1 0 -1 0 0 1 0 -1 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207093364171 0.854378619496 7 11 0 2 0132 0132 0132 0213 1 1 1 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 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 1.353608854682 0.642545195429 11 1 10 6 0321 0132 0132 0321 1 1 0 1 0 1 0 -1 0 0 -1 1 1 -2 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 -1 -10 0 0 -11 11 0 -1 0 1 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.115418642987 0.840948480257 9 5 1 8 1023 0321 0132 1023 1 1 0 1 0 1 0 -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 10 0 -10 0 0 0 0 0 -1 0 1 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.299013697490 1.394407905381 4 9 10 1 0132 1023 1302 0132 1 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 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524253170282 0.435182691258 2 11 3 6 0132 0321 1302 1023 1 1 0 1 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 1 -1 0 0 0 -10 10 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555814359383 1.043721275697 7 6 11 2 1023 1023 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.016036279611 1.228916751634 7 3 3 5 2031 0132 0321 0132 1 1 1 1 0 0 0 0 -1 0 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 -1 0 1 -11 0 0 11 0 10 0 -10 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207093364171 0.854378619496 5 4 9 8 0321 0132 0321 0321 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482134420756 0.783204885734 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_6'], 'c_1001_9' : d['c_0101_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : d['c_0110_6'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_11' : 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' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_0'], 'c_1100_10' : d['c_1001_3'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0110_6'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0110_6'], '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_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), '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_11']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0110_6, c_1001_0, c_1001_11, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1433/44*c_1001_3^10 - 307/44*c_1001_3^9 - 13851/176*c_1001_3^8 - 213/88*c_1001_3^7 + 10587/176*c_1001_3^6 - 4441/176*c_1001_3^5 - 4229/88*c_1001_3^4 + 5439/176*c_1001_3^3 + 2207/176*c_1001_3^2 - 1845/176*c_1001_3 + 969/176, c_0011_0 - 1, c_0011_10 + 64/11*c_1001_3^10 - 74/11*c_1001_3^9 - 128/11*c_1001_3^8 + 219/22*c_1001_3^7 + 299/22*c_1001_3^6 - 287/22*c_1001_3^5 - 191/22*c_1001_3^4 + 111/11*c_1001_3^3 + 19/11*c_1001_3^2 - 89/22*c_1001_3 - 2/11, c_0011_11 - 74/11*c_1001_3^10 - 10/11*c_1001_3^9 + 483/22*c_1001_3^8 + 75/11*c_1001_3^7 - 293/11*c_1001_3^6 - 57/11*c_1001_3^5 + 523/22*c_1001_3^4 - 7/11*c_1001_3^3 - 277/22*c_1001_3^2 + 73/22*c_1001_3 + 58/11, c_0101_0 - 1, c_0101_1 - 36/11*c_1001_3^10 - 56/11*c_1001_3^9 + 171/11*c_1001_3^8 + 145/11*c_1001_3^7 - 224/11*c_1001_3^6 - 152/11*c_1001_3^5 + 250/11*c_1001_3^4 + 73/11*c_1001_3^3 - 175/11*c_1001_3^2 + 2/11*c_1001_3 + 85/11, c_0101_10 + 18/11*c_1001_3^10 - 38/11*c_1001_3^9 - 39/22*c_1001_3^8 + 87/11*c_1001_3^7 + 2/11*c_1001_3^6 - 111/11*c_1001_3^5 + 25/22*c_1001_3^4 + 79/11*c_1001_3^3 - 67/22*c_1001_3^2 - 57/22*c_1001_3 + 18/11, c_0101_11 + 10/11*c_1001_3^10 + 18/11*c_1001_3^9 - 51/22*c_1001_3^8 - 69/11*c_1001_3^7 + 17/11*c_1001_3^6 + 74/11*c_1001_3^5 - 57/22*c_1001_3^4 - 49/11*c_1001_3^3 + 63/22*c_1001_3^2 + 27/22*c_1001_3 - 23/11, c_0101_2 - 74/11*c_1001_3^10 + 34/11*c_1001_3^9 + 395/22*c_1001_3^8 - 2/11*c_1001_3^7 - 249/11*c_1001_3^6 + 31/11*c_1001_3^5 + 369/22*c_1001_3^4 - 51/11*c_1001_3^3 - 189/22*c_1001_3^2 + 95/22*c_1001_3 + 36/11, c_0110_6 - 40/11*c_1001_3^10 - 6/11*c_1001_3^9 + 146/11*c_1001_3^8 + 57/22*c_1001_3^7 - 345/22*c_1001_3^6 - 75/22*c_1001_3^5 + 305/22*c_1001_3^4 - 2/11*c_1001_3^3 - 82/11*c_1001_3^2 + 35/22*c_1001_3 + 37/11, c_1001_0 - 10/11*c_1001_3^10 + 48/11*c_1001_3^9 - 37/22*c_1001_3^8 - 181/22*c_1001_3^7 + 65/22*c_1001_3^6 + 193/22*c_1001_3^5 - 65/11*c_1001_3^4 - 61/11*c_1001_3^3 + 113/22*c_1001_3^2 + 14/11*c_1001_3 - 21/11, c_1001_11 - 28/11*c_1001_3^10 - 2/11*c_1001_3^9 + 89/11*c_1001_3^8 + 41/22*c_1001_3^7 - 203/22*c_1001_3^6 - 3/22*c_1001_3^5 + 153/22*c_1001_3^4 - 19/11*c_1001_3^3 - 42/11*c_1001_3^2 + 41/22*c_1001_3 + 16/11, c_1001_3^11 - c_1001_3^10 - 11/4*c_1001_3^9 + 2*c_1001_3^8 + 15/4*c_1001_3^7 - 11/4*c_1001_3^6 - 3*c_1001_3^5 + 11/4*c_1001_3^4 + 5/4*c_1001_3^3 - 7/4*c_1001_3^2 - 1/4*c_1001_3 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB