Magma V2.19-8 Thu Sep 12 2013 15:23:17 on localhost [Seed = 4137070609] Type ? for help. Type -D to quit. Loading file "10^2_151__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_151 geometric_solution 16.35274958 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 17 1 2 2 3 0132 0132 0321 0132 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 0 0 0 0 0 0 -1 0 1 -1 0 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 0.197330454881 0.981541071152 0 4 6 5 0132 0132 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 1 -1 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 0.697991245110 0.709517460793 7 0 0 8 0132 0132 0321 0132 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 0 0 0 0 0 0 1 0 -1 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 0.197330454881 0.981541071152 9 10 0 10 0132 0132 0132 0213 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 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 0.707205445171 1.249177552147 7 1 11 7 1023 0132 0132 3012 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 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 0.197330454881 0.981541071152 12 13 1 10 0132 0132 0132 1230 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 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 0.807536291519 0.559636469550 9 8 14 1 3120 3012 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 1 0 -1 0 0 -1 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807536291519 0.559636469550 2 4 4 12 0132 1023 1230 0213 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 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 0 0 0.197330454881 0.981541071152 6 15 2 15 1230 0132 0132 0213 0 1 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 1 -1 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635440452206 0.964691944899 3 16 13 6 0132 0132 3120 3120 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375680032274 0.472655256283 5 3 16 3 3012 0132 1230 0213 0 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 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 0.707205445171 1.249177552147 14 13 14 4 1302 0321 0321 0132 1 0 1 1 0 -1 1 0 1 0 -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 2 -2 0 2 0 -1 -1 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.707205445171 1.249177552147 5 16 16 7 0132 1230 1302 0213 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 0 0 0 0 0 0 -1 0 1 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 0.523806014950 0.722932416394 15 5 9 11 0321 0132 3120 0321 1 1 1 1 0 0 -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 2 -2 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.018170167261 0.770828271118 15 11 11 6 2310 2031 0321 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 -2 2 0 0 0 -1 1 0 1 0 -1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656793699565 0.606224979158 13 8 14 8 0321 0132 3201 0213 0 1 1 1 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 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635440452206 0.964691944899 12 9 12 10 2031 0132 3012 3012 1 0 1 1 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 -1 0 0 0 1 -1 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635440452206 0.964691944899 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : negation(d['c_0011_14']), 'c_1001_14' : negation(d['c_0101_4']), 'c_1001_16' : negation(d['c_0011_12']), 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : d['c_0110_16'], 'c_1001_13' : d['c_0101_10'], 'c_1001_12' : d['c_0110_16'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : d['c_1001_4'], 'c_1010_12' : d['c_0101_16'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_2'], 'c_1010_16' : negation(d['c_0101_10']), 'c_1010_15' : d['c_1001_0'], 'c_1010_14' : d['c_0011_11'], 's_3_11' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : negation(d['1']), 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_14']), 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_16'], 'c_0101_15' : negation(d['c_0101_13']), 'c_0101_14' : d['c_0011_14'], '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' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_2_16' : d['1'], 's_2_14' : negation(d['1']), 's_2_15' : 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_0011_15' : d['c_0011_11'], 'c_0011_14' : d['c_0011_14'], 'c_0011_16' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_0'], 'c_0011_13' : d['c_0011_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0101_16'], 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_0_15' : d['1'], 'c_1100_15' : negation(d['c_0011_14']), 's_0_10' : d['1'], 'c_1100_16' : negation(d['c_0110_16']), 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : d['c_0110_16'], 'c_1100_13' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1100_9' : negation(d['c_0101_13']), 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_16'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_0101_10'], 's_3_12' : d['1'], 'c_1010_3' : d['c_0110_16'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1100_14' : negation(d['c_0101_9']), 's_3_15' : d['1'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0011_14']), '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_16'], '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' : 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_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_13'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : negation(d['c_0101_9']), 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_0'], 'c_0110_15' : negation(d['c_0011_12']), 'c_0110_14' : d['c_0101_13'], 'c_0110_16' : d['c_0110_16'], 'c_1010_4' : negation(d['c_0101_7']), 'c_0101_12' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_13'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], '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_9'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_16'], 'c_0110_7' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_14, c_0101_0, c_0101_1, c_0101_10, c_0101_13, c_0101_16, c_0101_4, c_0101_7, c_0101_9, c_0110_16, c_1001_0, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 778240/11*c_1001_4^3 + 108544/11*c_1001_4^2 - 329216/11*c_1001_4 - 106624/11, c_0011_0 - 1, c_0011_10 + 8*c_1001_4^3 - 2*c_1001_4^2 - c_1001_4 + 1, c_0011_11 - 8*c_1001_4^3 - 2*c_1001_4^2 + c_1001_4 + 1, c_0011_12 + 4*c_1001_4^2, c_0011_14 - 8*c_1001_4^2 + 3/2, c_0101_0 - 8*c_1001_4^3 + 2*c_1001_4^2 + 2*c_1001_4 - 1, c_0101_1 + c_1001_4, c_0101_10 - 2*c_1001_4^2 + 1/2*c_1001_4, c_0101_13 + 2*c_1001_4^2 + 1/2*c_1001_4, c_0101_16 - 32*c_1001_4^3 + 8*c_1001_4^2 + 4*c_1001_4 - 1, c_0101_4 - 16*c_1001_4^3 + 8*c_1001_4^2 + 3*c_1001_4 - 1, c_0101_7 + 8*c_1001_4^3 + 2*c_1001_4^2 - 2*c_1001_4 - 1, c_0101_9 + 1/2, c_0110_16 + 2*c_1001_4 - 1/2, c_1001_0 - 1, c_1001_2 + 16*c_1001_4^3 - 8*c_1001_4^2 - 3*c_1001_4 + 1, c_1001_4^4 - 5/16*c_1001_4^2 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 63.670 Total time: 63.950 seconds, Total memory usage: 509.88MB