Magma V2.19-8 Tue Aug 20 2013 17:56:35 on localhost [Seed = 4088547285] Type ? for help. Type -D to quit. Loading file "9^2_17__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_17 geometric_solution 9.66534642 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 0 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 2 -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 0.245957125577 1.672908736263 0 4 6 5 0132 1023 0132 0132 1 1 1 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 1 0 1 -2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.245957125577 1.672908736263 7 0 8 4 0132 0132 0132 0213 0 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 -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 -0.247034489247 0.603351187714 5 9 9 0 3012 0132 0321 0132 0 1 1 0 0 0 0 0 0 0 0 0 -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 -1 0 1 0 0 1 -1 2 -2 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827948983932 1.170226913279 1 7 0 2 1023 0132 0132 0213 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579017122858 0.484444091910 6 8 1 3 2031 1023 0132 1230 1 1 0 1 0 0 0 0 0 0 -1 1 0 -1 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 2 -2 0 -2 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413974491966 0.585113456640 10 10 5 1 0132 1230 1302 0132 1 1 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 0 1 -1 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.122978562788 0.836454368132 2 4 8 9 0132 0132 0321 2310 0 1 0 1 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 1 0 -1 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 0.506456748741 0.498453813203 5 10 7 2 1023 0321 0321 0132 0 1 0 1 0 1 0 -1 0 0 0 0 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 2 0 -2 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.317290241510 0.945427096657 7 3 3 10 3201 0132 0321 3201 0 0 0 1 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 -1 0 1 -1 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827948983932 1.170226913279 6 9 6 8 0132 2310 3012 0321 0 1 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427267043544 0.426602073338 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0110_9']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0110_9']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0110_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_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_2_10' : 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_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_7'], 'c_1100_10' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0110_9']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0110_9']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0110_9']), 'c_1100_8' : d['c_1001_7'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_10' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : negation(d['c_0101_7']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], '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_7'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0110_9, c_1001_0, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 14444460/58097*c_1001_7^7 - 65068451/58097*c_1001_7^6 + 177580843/58097*c_1001_7^5 - 12667069/2834*c_1001_7^4 + 291081475/58097*c_1001_7^3 - 427371497/116194*c_1001_7^2 + 165944791/116194*c_1001_7 - 13137197/58097, c_0011_0 - 1, c_0011_10 + 36*c_1001_7^7 - 154*c_1001_7^6 + 406*c_1001_7^5 - 551*c_1001_7^4 + 595*c_1001_7^3 - 404*c_1001_7^2 + 124*c_1001_7 - 10, c_0011_3 - 34*c_1001_7^7 + 160*c_1001_7^6 - 445*c_1001_7^5 + 681*c_1001_7^4 - 775*c_1001_7^3 + 608*c_1001_7^2 - 265*c_1001_7 + 48, c_0011_5 + 82*c_1001_7^7 - 372*c_1001_7^6 + 1015*c_1001_7^5 - 1491*c_1001_7^4 + 1670*c_1001_7^3 - 1255*c_1001_7^2 + 503*c_1001_7 - 81, c_0101_0 - 1, c_0101_1 - 50*c_1001_7^7 + 228*c_1001_7^6 - 623*c_1001_7^5 + 919*c_1001_7^4 - 1028*c_1001_7^3 + 775*c_1001_7^2 - 310*c_1001_7 + 49, c_0101_2 - 2*c_1001_7^7 + 10*c_1001_7^6 - 29*c_1001_7^5 + 48*c_1001_7^4 - 58*c_1001_7^3 + 50*c_1001_7^2 - 26*c_1001_7 + 7, c_0101_7 - 28*c_1001_7^7 + 132*c_1001_7^6 - 366*c_1001_7^5 + 558*c_1001_7^4 - 628*c_1001_7^3 + 489*c_1001_7^2 - 205*c_1001_7 + 36, c_0110_9 + 16*c_1001_7^7 - 90*c_1001_7^6 + 270*c_1001_7^5 - 477*c_1001_7^4 + 566*c_1001_7^3 - 499*c_1001_7^2 + 258*c_1001_7 - 54, c_1001_0 - 12*c_1001_7^7 + 58*c_1001_7^6 - 164*c_1001_7^5 + 259*c_1001_7^4 - 300*c_1001_7^3 + 242*c_1001_7^2 - 113*c_1001_7 + 22, c_1001_7^8 - 5*c_1001_7^7 + 29/2*c_1001_7^6 - 24*c_1001_7^5 + 29*c_1001_7^4 - 25*c_1001_7^3 + 27/2*c_1001_7^2 - 4*c_1001_7 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB