Magma V2.19-8 Wed Aug 21 2013 01:07:53 on localhost [Seed = 239605542] Type ? for help. Type -D to quit. Loading file "L14n35559__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35559 geometric_solution 12.28861397 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 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 -1 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 0.617531507713 0.813719112230 0 5 7 6 0132 0132 0132 0132 0 0 0 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 0 0 0 -1 0 1 0 5 -1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462205866374 0.589601873815 8 0 10 9 0132 0132 0132 0132 1 0 0 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 -1 1 0 -5 0 4 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858832753329 1.168752211928 11 8 12 0 0132 0213 0132 0132 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 0 0 0 0 0 0 0 -1 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847353368327 0.666116854695 5 8 0 7 0132 0132 0132 3012 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 0 0 0 0 0 0 1 -1 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 0.622756488307 1.036430813300 4 1 11 10 0132 0132 3012 1302 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 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 0.176492086626 1.050488200496 11 12 1 11 2103 1023 0132 1023 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 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.326857589339 1.426335759640 10 9 4 1 1302 1302 1230 0132 0 0 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 1 -1 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574042186876 0.708905986491 2 4 3 9 0132 0132 0213 0321 1 0 1 0 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 5 0 -5 0 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326927689167 0.618390774106 12 8 2 7 2103 0321 0132 2031 1 0 1 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 0 0 0 0 0 1 0 -1 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.326927689167 0.618390774106 12 7 5 2 1302 2031 2031 0132 1 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 0 1 -1 4 0 0 -4 0 3 0 -3 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 5 6 6 0132 1230 2103 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650365502713 0.375847559144 6 10 9 3 1023 2031 2103 0132 1 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 -1 1 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270604095938 0.573388769789 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : 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_12']), 's_2_0' : 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' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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_1001_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_12']), 'c_1100_4' : negation(d['c_0110_9']), 'c_1100_7' : d['c_0101_5'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0110_9']), 'c_1100_3' : negation(d['c_0110_9']), 'c_1100_2' : negation(d['c_1001_1']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : d['c_0011_7'], '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' : negation(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' : negation(d['c_0110_9']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_12'], '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_0101_3'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_3'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_10']), '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_3'], 'c_0101_2' : negation(d['c_0011_9']), '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']), '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_0110_9'], 'c_0110_8' : negation(d['c_0011_9']), '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_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5']})} 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 21667/10*c_1001_0^3 - 17807/4*c_1001_0^2 + 17728/5*c_1001_0 - 9808/5, c_0011_0 - 1, c_0011_10 + 2*c_1001_0^3 - 3*c_1001_0^2 + 1, c_0011_11 - 2*c_1001_0^2 + 2*c_1001_0 + 1, c_0011_12 + 1, c_0011_7 + 2*c_1001_0^3 + c_1001_0^2 + 1, c_0011_9 - c_1001_0, c_0101_0 - 1, c_0101_1 + 4*c_1001_0^3 - 2*c_1001_0^2, c_0101_3 + 8*c_1001_0^3 - 6*c_1001_0^2 - 6*c_1001_0, c_0101_5 + 4*c_1001_0^3 - 2*c_1001_0^2 - 4*c_1001_0 - 1, c_0110_9 - 2*c_1001_0^3 + 3*c_1001_0^2 - 1, c_1001_0^4 - 3/2*c_1001_0^3 + 1/2*c_1001_0^2 - 1/2, c_1001_1 - 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_7, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_9, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 14/5*c_1001_0*c_1001_1 + 2/5*c_1001_0 + 69/20*c_1001_1 + 83/20, c_0011_0 - 1, c_0011_10 - c_1001_0*c_1001_1 - c_1001_0 + c_1001_1 + 1, c_0011_11 + 4/5*c_1001_0*c_1001_1 + 2/5*c_1001_0 - 3/5*c_1001_1 + 1/5, c_0011_12 + 4/5*c_1001_0*c_1001_1 + 2/5*c_1001_0 - 3/5*c_1001_1 - 4/5, c_0011_7 - 1/2*c_1001_0*c_1001_1 - 1/2*c_1001_0 + c_1001_1 + 1, c_0011_9 + c_1001_0*c_1001_1 - 2*c_1001_1, c_0101_0 - 1, c_0101_1 + 1/2*c_1001_1 + 1/2, c_0101_3 + 3/5*c_1001_0*c_1001_1 - 1/5*c_1001_0 - 6/5*c_1001_1 + 2/5, c_0101_5 + 3/5*c_1001_0*c_1001_1 - 1/5*c_1001_0 - 6/5*c_1001_1 + 2/5, c_0110_9 - c_1001_0*c_1001_1 - c_1001_0 + c_1001_1 + 1, c_1001_0^2 + c_1001_0*c_1001_1 - 2*c_1001_0 - c_1001_1 + 2, c_1001_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB