Magma V2.19-8 Wed Aug 21 2013 00:56:06 on localhost [Seed = 2345505190] Type ? for help. Type -D to quit. Loading file "L13n1231__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1231 geometric_solution 12.04423107 oriented_manifold CS_known 0.0000000000000011 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 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 0 0 0 0 0 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 0.138670142201 0.921483995458 0 0 5 4 0132 1302 0132 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 0 6 -6 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 0.840308400995 1.061174744300 6 0 7 6 0132 0132 0132 1023 1 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 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 0.777614282617 1.235289529631 6 7 8 0 2031 1023 0132 0132 1 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 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 0 0 0.367520141005 0.652633319087 9 8 1 10 0132 1230 0132 0132 1 1 1 1 0 0 1 -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 1 6 -7 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507780876202 0.467203496467 11 11 12 1 0132 1230 0132 0132 1 1 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 0 0 0 0 0 0 0 0 6 0 -6 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 -0.069092014764 0.931439264520 2 7 3 2 0132 3120 1302 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.862969671499 0.751866484722 3 6 9 2 1023 3120 2031 0132 1 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 0 0 0 0 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 -0.120684925734 0.898813032011 9 11 4 3 1023 2103 3012 0132 1 1 1 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 1 0 -1 0 0 0 0 0 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.150262671397 1.058630614092 4 8 11 7 0132 1023 2031 1302 1 1 1 1 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 -1 0 1 0 0 0 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 0.768448002276 1.116504226151 12 12 4 12 1230 2031 0132 0132 1 1 0 1 0 0 1 -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 0 7 -7 0 0 0 0 1 -1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079201916899 1.067732291167 5 8 5 9 0132 2103 3012 1302 1 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 -6 6 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.079201916899 1.067732291167 10 10 10 5 1302 3012 0132 0132 1 1 1 0 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 -7 7 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 0.079201916899 1.067732291167 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0011_10']), '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' : negation(d['1']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : negation(d['c_1001_4']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : 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' : d['c_1100_1'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : 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' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_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_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 412639/6101644544*c_1001_4^3*c_1100_1 - 1844051/953381960*c_1001_4^3 + 160207/1906763920*c_1001_4^2*c_1100_1 + 6845221/7627055680*c_1001_4^2 + 117149423/30508222720*c_1001_4*c_11\ 00_1 + 63684433/3813527840*c_1001_4 - 130829029/15254111360*c_1100_1 - 15986477/7627055680, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 9/3664*c_1001_4^3*c_1100_1 - 35/458*c_1001_4^3 - 35/3664*c_1001_4^2*c_1100_1 + 21/229*c_1001_4^2 + 391/3664*c_1001_4*c_1100_1 + 401/458*c_1001_4 - 575/3664*c_1100_1 - 113/229, c_0011_3 - 5/458*c_1001_4^3*c_1100_1 + 24/229*c_1001_4^3 + 3/229*c_1001_4^2*c_1100_1 + 17/229*c_1001_4^2 - 49/916*c_1001_4*c_1100_1 - 203/229*c_1001_4 + 82/229*c_1100_1 + 83/229, c_0101_0 + 5/458*c_1001_4^3*c_1100_1 - 24/229*c_1001_4^3 - 3/229*c_1001_4^2*c_1100_1 - 17/229*c_1001_4^2 + 139/458*c_1001_4*c_1100_1 + 203/229*c_1001_4 - 82/229*c_1100_1 - 83/229, c_0101_1 - 17/458*c_1001_4^3*c_1100_1 - 10/229*c_1001_4^3 - 5/916*c_1001_4^2*c_1100_1 + 12/229*c_1001_4^2 + 77/458*c_1001_4*c_1100_1 - 278/229*c_1001_4 + 245/916*c_1100_1 + 328/229, c_0101_10 + 19/3664*c_1001_4^3*c_1100_1 + 23/458*c_1001_4^3 + 23/3664*c_1001_4^2*c_1100_1 + 32/229*c_1001_4^2 - 113/3664*c_1001_4*c_1100_1 - 185/458*c_1001_4 + 2079/3664*c_1100_1 - 194/229, c_0101_2 - 1/4*c_1100_1 - 1, c_0101_3 + 5/458*c_1001_4^3*c_1100_1 - 24/229*c_1001_4^3 - 3/229*c_1001_4^2*c_1100_1 - 17/229*c_1001_4^2 + 49/916*c_1001_4*c_1100_1 + 203/229*c_1001_4 - 99/916*c_1100_1 - 83/229, c_0101_5 - 19/3664*c_1001_4^3*c_1100_1 - 23/458*c_1001_4^3 - 23/3664*c_1001_4^2*c_1100_1 - 32/229*c_1001_4^2 + 113/3664*c_1001_4*c_1100_1 + 185/458*c_1001_4 + 1585/3664*c_1100_1 + 194/229, c_0101_7 + 6/229*c_1001_4^3*c_1100_1 + 34/229*c_1001_4^3 + 17/916*c_1001_4^2*c_1100_1 + 5/229*c_1001_4^2 - 203/916*c_1001_4*c_1100_1 - 154/229*c_1001_4 - 73/458*c_1100_1 - 245/229, c_1001_4^4 - 2*c_1001_4^2*c_1100_1 - 10*c_1001_4^2 + 4*c_1001_4*c_1100_1 + 2*c_1100_1 - 3, c_1100_1^2 + 4*c_1100_1 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.580 Total time: 0.790 seconds, Total memory usage: 32.09MB