Magma V2.19-8 Tue Aug 20 2013 23:42:23 on localhost [Seed = 2951334648] Type ? for help. Type -D to quit. Loading file "L13n2771__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2771 geometric_solution 9.79457402 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 0 -1 0 0 0 0 6 0 0 -6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.493167400022 1.880069053833 0 5 4 6 0132 0132 3012 0132 1 1 1 1 0 1 0 -1 0 0 0 0 -1 0 0 1 -1 0 1 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 -6 0 0 6 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166414752619 0.927747394041 5 0 6 7 0132 0132 1230 0132 1 0 1 1 0 0 0 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 -1 0 1 0 0 1 -1 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244126708690 0.765751651774 8 8 9 0 0132 1302 0132 0132 1 1 1 0 0 0 0 0 0 0 0 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 -5 5 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.084942615465 0.673811963521 7 1 0 9 1230 1230 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 -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 1 -1 0 0 0 0 6 -6 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.278424348168 0.575038446286 2 1 7 10 0132 0132 0132 0132 1 0 1 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 -5 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 0 0 0 0.084942615465 0.673811963521 10 9 1 2 3012 3120 0132 3012 1 1 0 1 0 -1 1 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 -5 5 0 0 0 0 0 0 1 0 -1 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478719937471 1.227441593329 8 4 2 5 1230 3012 0132 0132 1 0 1 1 0 1 0 -1 -1 0 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 6 -1 -5 -1 0 1 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177731301766 1.164588526177 3 7 10 3 0132 3012 3012 2031 1 1 0 1 0 0 1 -1 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 5 -5 0 0 0 0 1 1 0 -2 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708603830814 0.521787755247 10 6 4 3 0213 3120 0132 0132 1 1 0 1 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 -1 1 0 0 0 0 0 0 -1 0 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372743613230 1.125610803734 9 8 5 6 0213 1230 0132 1230 1 0 1 1 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 5 0 -5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724276749402 1.354946925330 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_0'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_9'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : d['c_0011_4'], 'c_1100_5' : d['c_0110_6'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_6'], 'c_1100_6' : negation(d['c_1001_2']), 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_6'], 'c_1100_10' : d['c_0110_6'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_10'], '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_0011_6'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : negation(d['c_0011_6']), '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_0011_9'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : negation(d['c_0011_3']), 'c_0011_10' : d['c_0011_10']})} 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_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0110_6, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 43852927/1624*c_1100_0^3 + 27477767/1624*c_1100_0^2 + 36275873/1624*c_1100_0 - 28084085/1624, c_0011_0 - 1, c_0011_10 + 23/29*c_1100_0^3 + 97/116*c_1100_0^2 - 49/58*c_1100_0 - 93/116, c_0011_3 - 23/58*c_1100_0^3 + 285/116*c_1100_0^2 + 34/29*c_1100_0 - 113/116, c_0011_4 + 253/116*c_1100_0^3 + 25/29*c_1100_0^2 - 197/116*c_1100_0 - 1/58, c_0011_6 + 483/116*c_1100_0^3 + 9/116*c_1100_0^2 - 181/116*c_1100_0 + 41/116, c_0011_9 - 1, c_0101_0 + 23/116*c_1100_0^3 + 191/116*c_1100_0^2 + 19/116*c_1100_0 - 45/116, c_0101_1 - 69/116*c_1100_0^3 + 47/58*c_1100_0^2 + 1/116*c_1100_0 - 17/29, c_0110_6 + 207/58*c_1100_0^3 + 103/116*c_1100_0^2 - 103/29*c_1100_0 - 27/116, c_1001_2 + 161/58*c_1100_0^3 + 3/58*c_1100_0^2 - 157/58*c_1100_0 + 33/58, c_1100_0^4 - 16/23*c_1100_0^3 - 18/23*c_1100_0^2 + 16/23*c_1100_0 - 1/23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB