Magma V2.19-8 Tue Aug 20 2013 23:58:25 on localhost [Seed = 4256929148] Type ? for help. Type -D to quit. Loading file "L14n39817__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39817 geometric_solution 10.86701141 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 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 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 0.172377685026 0.654302624063 0 4 0 5 0132 0132 3012 0132 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 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 0.623486458317 1.429151332906 6 7 5 0 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.290018515389 0.901721751490 8 8 0 5 0132 1302 0132 2031 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 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 -3 0 0 3 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104143747332 1.017875820507 9 1 10 9 0132 0132 0132 2031 1 1 0 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 1 -1 0 0 0 0 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743548791990 0.587835679290 11 3 1 2 0132 1302 0132 1302 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 0 0 0 1 0 -1 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 0.383667641828 0.898607151985 2 11 10 7 0132 2103 3120 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.064726052175 0.727012489954 11 2 6 10 2103 0132 2031 1230 1 1 1 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 0 0 0 0 0 0 0 2 0 0 -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 0.220840153901 0.682881654581 3 9 10 3 0132 1230 3012 2031 1 1 0 1 0 0 0 0 0 0 0 0 1 0 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 -1 1 -2 -1 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487241284000 0.553605693168 4 4 8 11 0132 1302 3012 1023 1 1 1 0 0 0 -1 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 0 3 -3 0 0 0 0 2 1 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172377685026 0.654302624063 7 8 6 4 3012 1230 3120 0132 1 1 1 1 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 1 0 -1 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519077749024 0.756810788082 5 6 7 9 0132 2103 2103 1023 1 1 1 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 0 0 0 -1 0 -2 3 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220018343935 1.067868297839 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_2']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0101_10']), '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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_1010_5']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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' : d['c_0011_3'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_2']})} 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_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_8, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 7687582208/818741*c_1010_5^4 - 387046400/818741*c_1010_5^3 + 7515819904/818741*c_1010_5^2 - 2384497600/818741*c_1010_5 + 3735116032/818741, c_0011_0 - 1, c_0011_10 + c_1010_5, c_0011_11 - 104/31*c_1010_5^4 - 32/31*c_1010_5^3 - 106/31*c_1010_5^2 + 52/31*c_1010_5 - 77/62, c_0011_2 + 88/31*c_1010_5^4 + 8/31*c_1010_5^3 + 42/31*c_1010_5^2 - 13/31*c_1010_5 + 27/62, c_0011_3 - 32/31*c_1010_5^4 - 48/31*c_1010_5^3 - 4/31*c_1010_5^2 - 46/31*c_1010_5 + 12/31, c_0101_0 - 1, c_0101_1 + 32/31*c_1010_5^4 + 48/31*c_1010_5^3 + 4/31*c_1010_5^2 + 46/31*c_1010_5 - 12/31, c_0101_10 - 8/31*c_1010_5^4 - 12/31*c_1010_5^3 + 30/31*c_1010_5^2 + 4/31*c_1010_5 + 3/31, c_0101_2 - 72/31*c_1010_5^4 + 16/31*c_1010_5^3 - 40/31*c_1010_5^2 + 36/31*c_1010_5 - 4/31, c_0101_4 - 72/31*c_1010_5^4 + 16/31*c_1010_5^3 - 40/31*c_1010_5^2 + 36/31*c_1010_5 - 4/31, c_0101_8 + 104/31*c_1010_5^4 + 32/31*c_1010_5^3 + 106/31*c_1010_5^2 - 21/31*c_1010_5 + 77/62, c_1010_5^5 - 1/2*c_1010_5^4 + c_1010_5^3 - 3/4*c_1010_5^2 + 5/8*c_1010_5 - 7/32 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_8, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 527/17632*c_1010_5^5 - 1039/17632*c_1010_5^4 + 715/8816*c_1010_5^3 + 6383/8816*c_1010_5^2 + 1201/928*c_1010_5 - 2231/17632, c_0011_0 - 1, c_0011_10 + 85/208*c_1010_5^5 - 145/208*c_1010_5^4 + 97/104*c_1010_5^3 + 1073/104*c_1010_5^2 + 325/16*c_1010_5 + 231/208, c_0011_11 - 5/26*c_1010_5^5 + 41/104*c_1010_5^4 - 8/13*c_1010_5^3 - 241/52*c_1010_5^2 - 8*c_1010_5 + 133/104, c_0011_2 + 57/208*c_1010_5^5 - 111/208*c_1010_5^4 + 73/104*c_1010_5^3 + 707/104*c_1010_5^2 + 185/16*c_1010_5 - 615/208, c_0011_3 - 97/416*c_1010_5^5 + 193/416*c_1010_5^4 - 137/208*c_1010_5^3 - 1189/208*c_1010_5^2 - 313/32*c_1010_5 + 673/416, c_0101_0 - 1, c_0101_1 - 17/416*c_1010_5^5 + 29/416*c_1010_5^4 - 9/208*c_1010_5^3 - 225/208*c_1010_5^2 - 57/32*c_1010_5 + 141/416, c_0101_10 - 5/26*c_1010_5^5 + 41/104*c_1010_5^4 - 8/13*c_1010_5^3 - 241/52*c_1010_5^2 - 8*c_1010_5 + 133/104, c_0101_2 - 1/13*c_1010_5^5 + 19/104*c_1010_5^4 - 9/26*c_1010_5^3 - 73/52*c_1010_5^2 - 3*c_1010_5 + 139/104, c_0101_4 + 71/208*c_1010_5^5 - 141/208*c_1010_5^4 + 111/104*c_1010_5^3 + 825/104*c_1010_5^2 + 247/16*c_1010_5 - 101/208, c_0101_8 + 25/208*c_1010_5^5 - 61/208*c_1010_5^4 + 53/104*c_1010_5^3 + 285/104*c_1010_5^2 + 57/16*c_1010_5 - 293/208, c_1010_5^6 - 2*c_1010_5^5 + 3*c_1010_5^4 + 24*c_1010_5^3 + 43*c_1010_5^2 - 6*c_1010_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB