Magma V2.19-8 Tue Aug 20 2013 23:41:19 on localhost [Seed = 2917910821] Type ? for help. Type -D to quit. Loading file "L12n1313__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1313 geometric_solution 10.44344023 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 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 0.992035172426 1.203978365345 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.766926563425 0.567380189455 8 0 3 8 0132 0132 0213 0213 1 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 -1 0 1 -2 0 0 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481837381190 0.536931138824 9 2 5 0 0132 0213 1230 0132 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 -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 0.481837381190 0.536931138824 10 5 0 10 0132 1230 0132 0213 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 -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 0.276575610809 0.945825796771 6 1 4 3 3201 0132 3012 3012 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659765317476 0.657406988040 9 10 1 5 2103 2103 0132 2310 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 -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 0.659765317476 0.657406988040 10 9 8 1 2310 2310 2310 0132 0 0 0 1 0 1 -1 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 -2 1 0 0 1 -1 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992035172426 1.203978365345 2 7 9 2 0132 3201 0213 0213 1 0 0 0 0 -1 1 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 -1 2 -1 2 0 -1 -1 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481837381190 0.536931138824 3 8 6 7 0132 0213 2103 3201 1 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 -2 0 2 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 0.481837381190 0.536931138824 4 6 7 4 0132 2103 3201 0213 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 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 0.276575610809 0.945825796771 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_7'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0101_1']), '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_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' : negation(d['c_0011_7']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_1001_0'], 'c_1100_10' : negation(d['c_0011_7']), 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_0'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1001_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 2/5*c_1001_2 - 1/5, c_0011_0 - 1, c_0011_10 - c_1001_2 + 1, c_0011_3 - c_1001_2 + 2, c_0011_6 - c_1001_2, c_0011_7 - c_0110_5 - c_1001_2, c_0101_0 - c_0110_5*c_1001_2 + c_0110_5 + c_1001_2 - 2, c_0101_1 - c_1001_2 + 1, c_0101_3 - c_0110_5*c_1001_2 + c_0110_5 - c_1001_2 + 1, c_0110_5^2 + c_0110_5*c_1001_2 + 2*c_1001_2 + 1, c_1001_0 - 1, c_1001_2^2 - c_1001_2 - 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_3, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 122*c_1001_2^7 + 1633/8*c_1001_2^6 + 1395/8*c_1001_2^5 - 65*c_1001_2^4 + 73/8*c_1001_2^3 - 1095/8*c_1001_2^2 - 2677/8*c_1001_2 - 3133/8, c_0011_0 - 1, c_0011_10 - 7/8*c_1001_2^7 - 9/8*c_1001_2^6 - 3/8*c_1001_2^5 + 1/8*c_1001_2^4 - 3/8*c_1001_2^3 + 21/8*c_1001_2 + 5/8, c_0011_3 - 1/2*c_1001_2^7 - 1/2*c_1001_2^6 - 1/2*c_1001_2^5 + 1/2*c_1001_2^4 - 1/2*c_1001_2^3 + c_1001_2^2 + 1/2*c_1001_2 + 3/2, c_0011_6 - c_1001_2, c_0011_7 - 1/2*c_1001_2^7 - 1/2*c_1001_2^6 - 1/2*c_1001_2^5 + 1/2*c_1001_2^4 + 1/2*c_1001_2^3 + c_1001_2^2 + 1/2*c_1001_2 + 1/2, c_0101_0 + 1/8*c_1001_2^7 + 7/8*c_1001_2^6 + 5/8*c_1001_2^5 + 1/8*c_1001_2^4 - 3/8*c_1001_2^3 - 11/8*c_1001_2 - 11/8, c_0101_1 + 1/8*c_1001_2^7 - 1/8*c_1001_2^6 - 3/8*c_1001_2^5 + 1/8*c_1001_2^4 + 5/8*c_1001_2^3 - 3/8*c_1001_2 + 5/8, c_0101_3 - 1/8*c_1001_2^7 - 7/8*c_1001_2^6 - 5/8*c_1001_2^5 - 1/8*c_1001_2^4 + 3/8*c_1001_2^3 + 11/8*c_1001_2 + 11/8, c_0110_5 + 1/2*c_1001_2^7 + 1/2*c_1001_2^6 + 1/2*c_1001_2^5 - 1/2*c_1001_2^4 - 1/2*c_1001_2^3 - c_1001_2^2 - 1/2*c_1001_2 - 1/2, c_1001_0 - 1, c_1001_2^8 + 2*c_1001_2^7 + 2*c_1001_2^6 - c_1001_2^3 - 3*c_1001_2^2 - 4*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB