Magma V2.19-8 Wed Aug 21 2013 01:10:59 on localhost [Seed = 2631566667] Type ? for help. Type -D to quit. Loading file "L14n55137__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n55137 geometric_solution 12.00664714 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 2 2 1 2 0 0 0 0 0 0 0 0 0 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 0.007165677812 1.010627035121 0 0 5 4 0132 1302 0132 0132 2 2 2 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 4 -4 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992984580897 0.989434969595 6 0 6 7 0132 0132 3012 0132 2 2 2 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 -1 1 0 0 0 4 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658870705357 0.564617093824 8 9 10 0 0132 0132 0132 0132 2 2 2 2 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369149570726 0.684143071596 11 10 1 9 0132 1230 0132 2103 2 2 2 2 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 -4 0 4 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 0.728444505601 0.789981647666 12 12 7 1 0132 1230 2103 0132 2 2 1 2 0 1 -1 0 0 0 -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 -5 5 0 0 0 4 -4 4 -3 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783913950447 1.297488147342 2 2 12 12 0132 1230 0132 2031 2 2 1 2 0 1 0 -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 -4 0 4 0 0 5 -5 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783913950447 1.297488147342 5 9 2 9 2103 0213 0132 3120 2 2 2 2 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 -4 0 4 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736118320049 0.204845895352 3 11 11 11 0132 0213 0132 0321 0 2 2 2 0 1 -2 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 0 0 0 0 -2 3 -1 0 0 0 0 -5 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622463445686 0.755949770014 7 3 7 4 3120 0132 0213 2103 2 2 2 2 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499029599212 0.572216803211 10 10 4 3 1230 3012 3012 0132 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.870133466028 1.366533566013 4 8 8 8 0132 0321 0213 0132 0 2 2 2 0 -1 -1 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 0 0 0 0 0 1 2 -3 4 0 -4 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 0.350870845348 0.788333899075 5 6 5 6 0132 1302 3012 0132 2 2 2 1 0 -1 1 0 0 0 -1 1 -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 5 -5 0 0 0 5 -5 5 -4 0 -1 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658870705357 0.564617093824 ==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' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_11'], 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), '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' : 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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_7']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0110_7']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_7']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_3'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : negation(d['c_1001_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_11'], 's_3_1' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0011_12'], '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_0'], 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_1'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0011_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_7'], 'c_0110_8' : d['c_0011_10'], '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' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0110_7'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_7, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 256/27*c_0101_5 + 128/9, c_0011_0 - 1, c_0011_10 + 1/2*c_0101_5 - 3/4, c_0011_12 - c_0101_5 + 1/2, c_0011_3 + 1/2*c_0101_5 + 1/4, c_0011_7 + 1/2*c_0101_5 + 1/4, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + c_0101_5, c_0101_5^2 + 3/4, c_0110_7 + 1/2, c_1001_0 + 1/2, c_1001_11 - 1, c_1001_4 + 3/2 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0110_7, c_1001_0, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 681984/10985*c_1001_4^3 - 211968/10985*c_1001_4^2 + 3635712/10985*c_1001_4 + 4706304/10985, c_0011_0 - 1, c_0011_10 + 4/15*c_1001_4^3 + 6/5*c_1001_4^2 + 6/5*c_1001_4 - 13/30, c_0011_12 + 56/15*c_1001_4^3 + 64/5*c_1001_4^2 + 74/5*c_1001_4 + 74/15, c_0011_3 + 4/15*c_1001_4^3 + 6/5*c_1001_4^2 + 6/5*c_1001_4 + 17/30, c_0011_7 - 8/15*c_1001_4^3 - 12/5*c_1001_4^2 - 17/5*c_1001_4 - 49/30, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 - 8/15*c_1001_4^3 - 2/5*c_1001_4^2 + 3/5*c_1001_4 + 13/15, c_0101_5 - 16/15*c_1001_4^3 - 14/5*c_1001_4^2 - 14/5*c_1001_4 - 4/15, c_0110_7 - c_1001_4 - 1, c_1001_0 - c_1001_4 - 1, c_1001_11 - 1, c_1001_4^4 + 4*c_1001_4^3 + 6*c_1001_4^2 + 29/8*c_1001_4 + 13/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB