Magma V2.19-8 Wed Aug 21 2013 01:03:56 on localhost [Seed = 374345279] Type ? for help. Type -D to quit. Loading file "L14n23925__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23925 geometric_solution 11.97422850 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 0 1 -1 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 1 -1 0 1 0 5 -6 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230555630803 0.913674051453 0 5 7 6 0132 0132 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 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 -0.033710595225 1.476209133669 8 0 10 9 0132 0132 0132 0132 0 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 1 0 5 0 0 -5 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626310934921 1.243751238642 7 11 9 0 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 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 0 1 0 0 5 -5 6 0 0 -6 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637300136208 0.615428701121 9 5 0 10 0132 1230 0132 0132 0 1 1 1 0 -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 0 0 0 0 1 0 -1 0 0 6 -6 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598023547225 1.470466477047 12 1 4 11 0132 0132 3012 1023 1 0 1 1 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 -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 0.630814935272 0.607887999771 11 9 1 12 2103 2103 0132 3012 1 1 0 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347868680655 0.613999862292 3 10 8 1 0132 2031 2031 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 0 0 0 0 0 0 0 -1 1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359225321001 0.676535179076 2 12 11 7 0132 0132 1302 1302 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572629016169 0.573757768585 4 6 2 3 0132 2103 0132 0132 0 1 1 1 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 0 0 0 0 0 5 -5 -1 0 0 1 -1 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.123925979300 1.094758971813 7 12 4 2 1302 1302 0132 0132 0 1 1 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 0 0 0 0 0 0 0 0 0 1 -1 -6 0 6 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 0.443987727129 0.211583257060 8 3 6 5 2031 0132 2103 1023 0 1 1 1 0 -1 0 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 1 0 -1 0 0 -1 1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661962244734 0.725237151876 5 8 6 10 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551920482708 0.472825029848 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0101_5'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : negation(d['c_0110_6']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : negation(d['c_0110_6']), 's_3_11' : d['1'], 's_3_10' : 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_0101_0'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : negation(d['c_1001_12']), 'c_1100_1' : negation(d['c_1001_12']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0101_12']), 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0110_6']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_6'], '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_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : 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_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_11']), '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0110_6, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 2276154493/175175*c_1100_0^7 - 12748310422/175175*c_1100_0^6 + 589028331/13475*c_1100_0^5 - 22800588516/175175*c_1100_0^4 + 1374992956/35035*c_1100_0^3 - 281948522/3185*c_1100_0^2 + 2501053311/175175*c_1100_0 - 3780541857/175175, c_0011_0 - 1, c_0011_10 + 8/11*c_1100_0^7 - 72/11*c_1100_0^6 + 145/11*c_1100_0^5 + 27/11*c_1100_0^4 + 15*c_1100_0^3 + 103/11*c_1100_0^2 + 70/11*c_1100_0 + 53/11, c_0011_11 - 25/11*c_1100_0^7 + 126/11*c_1100_0^6 + 13/11*c_1100_0^5 + 115/11*c_1100_0^4 + 3*c_1100_0^3 + 15/11*c_1100_0^2 + 15/11*c_1100_0 - 24/11, c_0011_4 - 20/11*c_1100_0^7 + 92/11*c_1100_0^6 + 50/11*c_1100_0^5 + 114/11*c_1100_0^4 + 9*c_1100_0^3 + 67/11*c_1100_0^2 + 45/11*c_1100_0 + 5/11, c_0011_6 - 1, c_0101_0 - 8/11*c_1100_0^7 + 28/11*c_1100_0^6 + 64/11*c_1100_0^5 + 50/11*c_1100_0^4 + 8*c_1100_0^3 + 51/11*c_1100_0^2 + 40/11*c_1100_0 + 24/11, c_0101_1 + 12/11*c_1100_0^7 - 53/11*c_1100_0^6 - 41/11*c_1100_0^5 - 75/11*c_1100_0^4 - 4*c_1100_0^3 - 38/11*c_1100_0^2 - 16/11*c_1100_0 - 3/11, c_0101_12 - c_1100_0^7 + 7*c_1100_0^6 - 9*c_1100_0^5 + 2*c_1100_0^4 - 9*c_1100_0^3 - 4*c_1100_0^2 - 3*c_1100_0 - 3, c_0101_2 + 21/11*c_1100_0^7 - 112/11*c_1100_0^6 + 19/11*c_1100_0^5 - 90/11*c_1100_0^4 + c_1100_0^3 + 5/11*c_1100_0^2 + 16/11*c_1100_0 + 25/11, c_0101_5 - 2*c_1100_0^6 + 9*c_1100_0^5 + 6*c_1100_0^4 + 12*c_1100_0^3 + 9*c_1100_0^2 + 5*c_1100_0 + 3, c_0110_6 - c_1100_0^6 + 5*c_1100_0^5 + c_1100_0^4 + 3*c_1100_0^3 + 2*c_1100_0^2 + c_1100_0 + 1, c_1001_12 - 21/11*c_1100_0^7 + 90/11*c_1100_0^6 + 80/11*c_1100_0^5 + 156/11*c_1100_0^4 + 11*c_1100_0^3 + 94/11*c_1100_0^2 + 61/11*c_1100_0 + 8/11, c_1100_0^8 - 5*c_1100_0^7 - 8*c_1100_0^5 - 3*c_1100_0^4 - 5*c_1100_0^3 - 3*c_1100_0^2 - c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB