Magma V2.19-8 Tue Aug 20 2013 23:40:42 on localhost [Seed = 3566383172] Type ? for help. Type -D to quit. Loading file "L11n235__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n235 geometric_solution 10.54151372 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 1 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 -1 3 -2 -3 0 0 3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588615832322 0.800274448131 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266029022233 0.890564740157 7 0 8 5 1230 0132 0132 1302 0 1 1 1 0 0 0 0 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 1 -1 0 0 0 1 -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 0.652274075606 0.864561715397 9 7 6 0 0132 1230 1230 0132 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 0 0 0 0 0 0 0 0 3 0 -3 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 0.536149646662 0.304004304727 8 5 0 10 0321 1302 0132 0132 0 0 1 1 0 0 -1 1 -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 2 -2 2 0 -3 1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452872358718 0.895275219221 9 1 2 4 1023 0132 2031 2031 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 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 0.652274075606 0.864561715397 9 10 1 3 2103 3012 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332698614203 1.207797432111 10 2 3 1 1023 3012 3012 0132 1 0 1 1 0 1 0 -1 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 0 -3 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080312591362 0.951042212013 4 9 10 2 0321 0321 1230 0132 0 1 1 0 0 0 0 0 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 -1 1 1 0 0 -1 1 0 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496997323382 0.813246039992 3 5 6 8 0132 1023 2103 0321 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 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 0.588615832322 0.800274448131 6 7 4 8 1230 1023 0132 3012 0 0 1 1 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 0 2 -2 0 0 -1 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 0.903474702411 1.175738734122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0110_6']), 'c_1010_10' : d['c_0101_1'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : negation(d['1']), 's_2_1' : 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_10' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : d['c_0011_6'], 'c_1100_10' : d['c_0110_6'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_0011_6'], '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' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_8'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_4']), '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_0011_10'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_7, c_0110_5, c_0110_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 38969904/289751*c_1001_3^6 + 65826448/289751*c_1001_3^5 - 115419628/289751*c_1001_3^4 + 842722/289751*c_1001_3^3 - 17423050/289751*c_1001_3^2 - 83470721/289751*c_1001_3 - 87532253/289751, c_0011_0 - 1, c_0011_10 - 5504/3763*c_1001_3^6 + 9908/3763*c_1001_3^5 - 17352/3763*c_1001_3^4 - 1553/3763*c_1001_3^3 + 1839/7526*c_1001_3^2 - 32883/7526*c_1001_3 - 13628/3763, c_0011_4 - 5276/3763*c_1001_3^6 + 8524/3763*c_1001_3^5 - 14161/3763*c_1001_3^4 - 4919/7526*c_1001_3^3 - 501/3763*c_1001_3^2 - 15007/3763*c_1001_3 - 20023/7526, c_0011_6 + 2672/3763*c_1001_3^6 - 3016/3763*c_1001_3^5 + 6236/3763*c_1001_3^4 + 2712/3763*c_1001_3^3 - 605/3763*c_1001_3^2 + 8031/3763*c_1001_3 + 5347/3763, c_0011_8 + 4056/3763*c_1001_3^6 - 7192/3763*c_1001_3^5 + 10818/3763*c_1001_3^4 + 3283/3763*c_1001_3^3 - 2890/3763*c_1001_3^2 + 10467/3763*c_1001_3 + 9277/3763, c_0101_0 - 1, c_0101_1 + 4056/3763*c_1001_3^6 - 7192/3763*c_1001_3^5 + 10818/3763*c_1001_3^4 + 3283/3763*c_1001_3^3 - 2890/3763*c_1001_3^2 + 10467/3763*c_1001_3 + 9277/3763, c_0101_7 - 2672/3763*c_1001_3^6 + 3016/3763*c_1001_3^5 - 6236/3763*c_1001_3^4 - 2712/3763*c_1001_3^3 + 605/3763*c_1001_3^2 - 8031/3763*c_1001_3 - 5347/3763, c_0110_5 + 1152/3763*c_1001_3^6 - 3824/3763*c_1001_3^5 + 5032/3763*c_1001_3^4 - 3788/3763*c_1001_3^3 - 2424/3763*c_1001_3^2 + 3485/3763*c_1001_3 + 52/3763, c_0110_6 + 576/3763*c_1001_3^6 - 1912/3763*c_1001_3^5 + 2516/3763*c_1001_3^4 - 1894/3763*c_1001_3^3 - 1212/3763*c_1001_3^2 + 3624/3763*c_1001_3 + 26/3763, c_1001_3^7 - c_1001_3^6 + 7/4*c_1001_3^5 + 17/8*c_1001_3^4 + 1/4*c_1001_3^3 + 5/2*c_1001_3^2 + 15/4*c_1001_3 + 11/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB