Magma V2.19-8 Tue Aug 20 2013 23:40:31 on localhost [Seed = 2084182260] Type ? for help. Type -D to quit. Loading file "L12n208__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n208 geometric_solution 9.27286619 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 2 3 0132 0132 1302 0132 0 0 0 1 0 1 1 -2 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 -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 0.645911487560 0.859714404647 0 4 5 4 0132 0132 0132 1230 0 0 1 0 0 0 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 -1 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 0.500651721013 0.456607214019 0 0 7 6 2031 0132 0132 0132 0 0 1 0 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 0 0 0 1 0 -1 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441403080339 0.743497874667 6 4 0 5 3120 0321 0132 0321 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 -1 2 -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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813280043181 0.612842905089 1 1 8 3 3012 0132 0132 0321 0 0 0 1 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 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.090663837764 0.997309888408 7 3 9 1 2103 0321 0132 0132 0 0 0 0 0 2 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 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 0 0 0 0 0 0 1.177710287660 1.546289297913 8 8 2 3 1302 3012 0132 3120 0 0 0 1 0 0 -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 0 0 0 0 0 0 -10 11 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499218524602 0.547515420301 9 8 5 2 2310 0213 2103 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659984282142 0.720720952208 6 6 7 4 1230 2031 0213 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -11 10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499218524602 0.547515420301 9 9 7 5 1302 2031 3201 0132 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 -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 0.453818799139 0.422295245850 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0011_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0011_5'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : 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' : d['1'], 's_0_8' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : d['c_1001_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : d['c_0011_6'], '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' : 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' : 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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_3'], '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_0101_7' : d['c_0101_5'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0011_3'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0011_9, c_0101_1, c_0101_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 11392403/14139008*c_1001_2^5 - 1311945/7069504*c_1001_2^4 + 9248462/110461*c_1001_2^3 - 16499785/883688*c_1001_2^2 + 17654782/110461*c_1001_2 + 11317311/441844, c_0011_0 - 1, c_0011_3 - 1/928*c_1001_2^5 - 31/232*c_1001_2^3 - 23/58*c_1001_2, c_0011_5 - 3/232*c_1001_2^5 + 5/464*c_1001_2^4 - 157/116*c_1001_2^3 + 63/58*c_1001_2^2 - 51/29*c_1001_2 + 28/29, c_0011_6 - 11/928*c_1001_2^5 - 5/464*c_1001_2^4 - 283/232*c_1001_2^3 - 63/58*c_1001_2^2 - 79/58*c_1001_2 - 28/29, c_0011_8 + 3/464*c_1001_2^5 + 157/232*c_1001_2^3 + 109/58*c_1001_2, c_0011_9 + 3/464*c_1001_2^5 + 157/232*c_1001_2^3 + 51/58*c_1001_2, c_0101_1 - 1, c_0101_5 + 5/928*c_1001_2^5 + 63/116*c_1001_2^3 + 57/58*c_1001_2, c_1001_1 - 5/464*c_1001_2^5 - 5/464*c_1001_2^4 - 63/58*c_1001_2^3 - 63/58*c_1001_2^2 - 28/29*c_1001_2 - 28/29, c_1001_2^6 + 104*c_1001_2^4 + 208*c_1001_2^2 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB