Magma V2.19-8 Wed Aug 21 2013 01:03:57 on localhost [Seed = 38017578] Type ? for help. Type -D to quit. Loading file "L14n23929__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23929 geometric_solution 12.48011597 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 0 1 1 0 -1 0 1 1 0 -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 2 1 -3 -2 0 2 0 4 -5 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 0 5 2 6 0132 0132 1023 0132 0 0 1 1 0 0 0 0 -1 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 0 0 0 0 0 2 0 -2 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274968443889 0.540008867126 6 0 1 7 0132 0132 1023 0132 0 0 1 1 0 1 -1 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 -1 -4 0 5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568467868024 1.078175271963 7 8 9 0 0132 0132 0132 0132 0 0 1 0 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 2 0 0 -2 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141951528403 0.653254154199 10 10 0 11 0132 1302 0132 0132 0 0 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 -1 3 -2 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 0.745520780472 0.857923554982 6 1 11 8 1023 0132 3012 1230 0 0 1 1 0 0 0 0 1 0 -1 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 -2 0 2 0 0 -4 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 2 5 1 12 0132 1023 0132 0132 0 0 1 1 0 -1 0 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 2 0 -2 0 0 0 0 5 0 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568467868024 1.078175271963 3 12 2 12 0132 2103 0132 1023 0 0 0 1 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 0 0 0 0 -2 0 0 2 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 5 3 12 10 3012 0132 2103 3012 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737796388677 0.561703180893 10 11 11 3 1302 3012 0132 0132 0 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 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 0.317784219669 1.071343145275 4 9 8 4 0132 2031 1230 2031 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 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317784219669 1.071343145275 9 5 4 9 1230 1230 0132 0132 0 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 -2 2 0 0 0 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 0.317784219669 1.071343145275 8 7 6 7 2103 2103 0132 1023 0 0 0 1 0 0 -1 1 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 2 -2 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_8']), 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_0011_12'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_8'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0110_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_10']), 's_3_1' : negation(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' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_8, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 16114964/189899*c_1100_1^6 + 99863472/189899*c_1100_1^5 + 34992322/189899*c_1100_1^4 - 193576616/189899*c_1100_1^3 + 104405549/189899*c_1100_1^2 - 273525418/189899*c_1100_1 + 137285706/189899, c_0011_0 - 1, c_0011_10 + 443/3583*c_1100_1^6 + 3299/3583*c_1100_1^5 + 5079/3583*c_1100_1^4 + 189/3583*c_1100_1^3 - 1128/3583*c_1100_1^2 - 8597/3583*c_1100_1 + 1262/3583, c_0011_11 - 257/3583*c_1100_1^6 - 1283/3583*c_1100_1^5 + 1510/3583*c_1100_1^4 + 4727/3583*c_1100_1^3 - 4894/3583*c_1100_1^2 + 3111/3583*c_1100_1 - 3660/3583, c_0011_12 - 257/3583*c_1100_1^6 - 1283/3583*c_1100_1^5 + 1510/3583*c_1100_1^4 + 4727/3583*c_1100_1^3 - 4894/3583*c_1100_1^2 + 6694/3583*c_1100_1 - 3660/3583, c_0011_3 + 257/3583*c_1100_1^6 + 1283/3583*c_1100_1^5 - 1510/3583*c_1100_1^4 - 4727/3583*c_1100_1^3 + 4894/3583*c_1100_1^2 - 6694/3583*c_1100_1 + 3660/3583, c_0101_0 - 1, c_0101_1 + 257/3583*c_1100_1^6 + 1283/3583*c_1100_1^5 - 1510/3583*c_1100_1^4 - 4727/3583*c_1100_1^3 + 4894/3583*c_1100_1^2 - 3111/3583*c_1100_1 + 3660/3583, c_0101_10 + 75/3583*c_1100_1^6 + 235/3583*c_1100_1^5 - 1793/3583*c_1100_1^4 - 4837/3583*c_1100_1^3 - 1388/3583*c_1100_1^2 + 793/3583*c_1100_1 + 5390/3583, c_0101_12 + 1, c_0101_3 + 746/3583*c_1100_1^6 + 4965/3583*c_1100_1^5 + 4428/3583*c_1100_1^4 - 3014/3583*c_1100_1^3 + 9173/3583*c_1100_1^2 - 11986/3583*c_1100_1 + 823/3583, c_0110_8 - 516/3583*c_1100_1^6 - 3050/3583*c_1100_1^5 - 133/3583*c_1100_1^4 + 7051/3583*c_1100_1^3 - 3636/3583*c_1100_1^2 + 7013/3583*c_1100_1 - 6986/3583, c_1100_0 - 516/3583*c_1100_1^6 - 3050/3583*c_1100_1^5 - 133/3583*c_1100_1^4 + 7051/3583*c_1100_1^3 - 3636/3583*c_1100_1^2 + 7013/3583*c_1100_1 - 6986/3583, c_1100_1^7 + 6*c_1100_1^6 + c_1100_1^5 - 12*c_1100_1^4 + 10*c_1100_1^3 - 17*c_1100_1^2 + 13*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB