Magma V2.19-8 Wed Aug 21 2013 01:03:42 on localhost [Seed = 745157654] Type ? for help. Type -D to quit. Loading file "L14n21813__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21813 geometric_solution 12.28861397 oriented_manifold CS_known -0.0000000000000002 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 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 1 -1 7 0 1 -8 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.152646631673 0.666116854695 0 5 5 6 0132 0132 1023 0132 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 1 -1 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326857589339 1.426335759640 5 0 8 7 0132 0132 0132 0132 0 1 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 0 0 0 0 8 -8 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.152646631673 0.666116854695 8 9 10 0 0213 0132 0132 0132 0 1 1 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 1 0 -1 1 0 0 -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 0.331830921174 1.263856221361 6 7 0 11 1023 2103 0132 0132 0 1 0 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 -1 1 0 -8 0 8 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 0.617531507713 0.813719112230 2 1 1 12 0132 0132 1023 0132 1 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 -1 -7 8 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 0.326857589339 1.426335759640 9 4 1 10 2103 1023 0132 3120 1 1 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 0 0 0 0 0 0 0 0 8 0 -8 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 0.462205866374 0.589601873815 12 4 2 10 1023 2103 0132 0321 0 1 0 1 0 0 0 0 -1 0 1 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 -8 0 8 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 0.617531507713 0.813719112230 3 9 11 2 0213 2310 0213 0132 0 1 1 0 0 0 0 0 0 0 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 8 -8 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331830921174 1.263856221361 12 3 6 8 0321 0132 2103 3201 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 -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 0.101858890094 0.843310370562 6 7 11 3 3120 0321 0132 0132 0 1 0 1 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 1 0 -1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.310105258689 0.851976602670 12 8 4 10 3012 0213 0132 0132 0 1 1 0 0 0 0 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 0 0 0 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 0 0 0.622756488307 1.036430813300 9 7 5 11 0321 1023 0132 1230 1 1 0 1 0 1 -1 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 8 -8 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 0.462205866374 0.589601873815 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_5'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_12'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_1001_11']), 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_1001_11'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : negation(d['c_1001_11']), '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' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(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_1100_9' : negation(d['c_0011_8']), 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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_0101_10'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_12'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : negation(d['c_0101_0']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_5'], '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_0011_8'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], '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' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0101_0']), '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_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_8']})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 9084/7*c_1100_0^2 + 38588/7*c_1100_0 + 36804/7, c_0011_0 - 1, c_0011_10 - 2*c_1100_0 - 4, c_0011_11 - c_1100_0^2 - c_1100_0 + 1, c_0011_12 - 1, c_0011_4 - 1, c_0011_8 - c_1100_0^2 - c_1100_0 + 1, c_0101_0 + 1/2*c_1100_0^2 + 2*c_1100_0 - 1/2, c_0101_1 - 1/2*c_1100_0^2 - c_1100_0 + 1/2, c_0101_10 + 3/2*c_1100_0^2 + 7/2*c_1100_0 - 1, c_0101_5 + 1/2*c_1100_0^2 + c_1100_0 - 1/2, c_1001_10 - c_1100_0, c_1001_11 + 6*c_1100_0^2 + 20*c_1100_0 + 16, c_1100_0^3 + 4*c_1100_0^2 + 3*c_1100_0 - 1 ], 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 19/60*c_1100_0^3 - 19/15*c_1100_0^2 - 293/120*c_1100_0 - 19/15, c_0011_0 - 1, c_0011_10 + 1/4*c_1100_0^3 + 1/2*c_1100_0^2 + 1/2*c_1100_0 - 1, c_0011_11 + 1/3*c_1100_0^3 + 5/6*c_1100_0^2 + 1/3*c_1100_0 - 2/3, c_0011_12 + 1/6*c_1100_0^3 + 2/3*c_1100_0^2 + 2/3*c_1100_0 - 1/3, c_0011_4 - 1, c_0011_8 + 1/6*c_1100_0^3 + 1/6*c_1100_0^2 + 2/3*c_1100_0 - 4/3, c_0101_0 + 1/3*c_1100_0^3 + 1/3*c_1100_0^2 - 2/3*c_1100_0 - 2/3, c_0101_1 - 1/3*c_1100_0^3 - 1/3*c_1100_0^2 - 1/3*c_1100_0 + 2/3, c_0101_10 - 1/3*c_1100_0^3 - 1/3*c_1100_0^2 + 2/3*c_1100_0 - 4/3, c_0101_5 - c_1100_0, c_1001_10 + c_1100_0, c_1001_11 - 1/12*c_1100_0^3 - 1/12*c_1100_0^2 - 1/3*c_1100_0 + 1/6, c_1100_0^4 + 2*c_1100_0^3 + 2*c_1100_0^2 - 4*c_1100_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB