Magma V2.19-8 Wed Aug 21 2013 01:03:38 on localhost [Seed = 3852729816] Type ? for help. Type -D to quit. Loading file "L14n20889__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20889 geometric_solution 11.82554880 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 2 -1 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 1 -1 0 1 0 -1 0 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389799188730 0.770874708704 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216651781034 0.526258485324 8 0 3 9 0132 0132 0321 0132 0 1 1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421450036879 1.384743832099 10 11 2 0 0132 0132 0321 0132 0 1 1 1 0 1 1 -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 -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 0.990095083270 0.474051511412 10 5 0 8 3120 1302 0132 0213 0 1 1 1 0 0 1 -1 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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631290427423 0.797517498107 8 1 9 4 1023 0132 2031 2031 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 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 0.044056521121 2.108554871703 10 7 1 12 2103 1230 0132 0132 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 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 0.911241772591 1.204784091215 12 10 6 1 0132 2103 3012 0132 1 1 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 0 0 0 0 0 0 0 0 1 -1 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.911241772591 1.204784091215 2 5 11 4 0132 1023 0132 0213 0 1 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 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 0.256878089681 0.614830823545 12 11 2 5 3012 0213 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 1.201318865395 1.055963800024 3 7 6 4 0132 2103 2103 3120 1 1 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 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879590924441 0.590914967819 12 3 9 8 1023 0132 0213 0132 0 1 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 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 0.530409510001 0.412771806519 7 11 6 9 0132 1023 0132 1230 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 0 0 0 0 0 0 -1 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 0.825786767985 0.913788512231 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_0'], '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_12' : 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_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_4']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0110_9'], 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : d['c_0110_9'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_4'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1010_4'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_1010_4'], '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'], 'c_1100_12' : d['c_0110_9'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_9, c_1001_0, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 62*c_1010_4^5 - 11*c_1010_4^4 + 33*c_1010_4^3 - 95*c_1010_4^2 - 197*c_1010_4 - 74, c_0011_0 - 1, c_0011_10 + c_1010_4^5 + 2*c_1010_4^4 + 3*c_1010_4^3 + 3*c_1010_4^2 + 2*c_1010_4 + 1, c_0011_4 - c_1010_4^4 - c_1010_4^3 - c_1010_4^2, c_0011_9 - c_1010_4^4 - 2*c_1010_4^3 - 3*c_1010_4^2 - 2*c_1010_4 - 1, c_0101_0 - c_1010_4^2 - c_1010_4 - 1, c_0101_1 - c_1010_4^4 - c_1010_4^3 - c_1010_4^2 - c_1010_4 - 1, c_0101_2 - c_1010_4^4, c_0101_5 - c_1010_4^5 - 2*c_1010_4^4 - 4*c_1010_4^3 - 4*c_1010_4^2 - 3*c_1010_4 - 1, c_0101_8 + c_1010_4^4 + c_1010_4^3 + c_1010_4^2 + c_1010_4 + 1, c_0110_5 + c_1010_4^4 + c_1010_4^3 + 2*c_1010_4^2 + 2*c_1010_4 + 1, c_0110_9 + c_1010_4^5 + c_1010_4^4 + 2*c_1010_4^3 + 2*c_1010_4^2 + c_1010_4, c_1001_0 - 1, c_1010_4^6 + 2*c_1010_4^5 + 4*c_1010_4^4 + 5*c_1010_4^3 + 4*c_1010_4^2 + 2*c_1010_4 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_9, c_1001_0, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2531/612*c_0110_9^7 + 2347/612*c_0110_9^6 - 11491/408*c_0110_9^5 - 82799/1224*c_0110_9^4 - 23009/816*c_0110_9^3 + 11965/2448*c_0110_9^2 + 8053/1224*c_0110_9 + 22585/2448, c_0011_0 - 1, c_0011_10 + c_0110_9, c_0011_4 - 92/51*c_0110_9^7 - 328/51*c_0110_9^6 - 130/17*c_0110_9^5 - 20/51*c_0110_9^4 + 27/17*c_0110_9^3 + 110/51*c_0110_9^2 + 4/51*c_0110_9 - 58/51, c_0011_9 + 28/51*c_0110_9^7 + 20/51*c_0110_9^6 - 58/17*c_0110_9^5 - 362/51*c_0110_9^4 - 23/17*c_0110_9^3 + 53/51*c_0110_9^2 + 52/51*c_0110_9 + 11/51, c_0101_0 - 92/51*c_0110_9^7 - 328/51*c_0110_9^6 - 130/17*c_0110_9^5 - 20/51*c_0110_9^4 + 27/17*c_0110_9^3 + 110/51*c_0110_9^2 + 4/51*c_0110_9 - 58/51, c_0101_1 - 140/51*c_0110_9^7 - 508/51*c_0110_9^6 - 186/17*c_0110_9^5 + 178/51*c_0110_9^4 + 115/17*c_0110_9^3 + 41/51*c_0110_9^2 - 107/51*c_0110_9 - 55/51, c_0101_2 - 1, c_0101_5 - 44/51*c_0110_9^7 - 148/51*c_0110_9^6 - 74/17*c_0110_9^5 - 218/51*c_0110_9^4 - 95/17*c_0110_9^3 - 25/51*c_0110_9^2 + 64/51*c_0110_9 + 41/51, c_0101_8 - 28/51*c_0110_9^7 - 20/51*c_0110_9^6 + 58/17*c_0110_9^5 + 362/51*c_0110_9^4 + 23/17*c_0110_9^3 + 49/51*c_0110_9^2 - 1/51*c_0110_9 - 11/51, c_0110_5 + 16/51*c_0110_9^7 - 76/51*c_0110_9^6 - 140/17*c_0110_9^5 - 542/51*c_0110_9^4 + 50/17*c_0110_9^3 + 329/51*c_0110_9^2 + 37/51*c_0110_9 - 52/51, c_0110_9^8 + 4*c_0110_9^7 + 11/2*c_0110_9^6 + c_0110_9^5 - 7/4*c_0110_9^4 - c_0110_9^3 - 1/4*c_0110_9^2 + 1/4*c_0110_9 + 1/4, c_1001_0 - 1, c_1010_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.350 Total time: 0.550 seconds, Total memory usage: 32.09MB