Magma V2.19-8 Tue Aug 20 2013 16:18:14 on localhost [Seed = 475889957] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2441 geometric_solution 5.78641414 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 1 -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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.920510510956 1.331913365229 0 4 0 5 0132 0132 0213 0132 0 0 0 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 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 -0.030377453845 0.737803032294 6 5 6 0 0132 1023 2310 0132 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 -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 0.659447036168 0.634771363209 4 5 0 5 0213 0321 0132 3201 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 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 0.348638909469 0.906238400806 3 1 4 4 0213 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.141847207632 1.428462018530 2 3 1 3 1023 2310 0132 0321 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 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 0 0 -0.886105257423 1.298558796534 2 2 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442673393353 0.193097306603 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : d['c_0101_2'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0110_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0110_3'], 'c_1001_4' : d['c_0110_3'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0110_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0110_3']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0110_3'], 'c_1010_0' : d['c_1001_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_2, c_0110_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 127/40096*c_1001_3^8 - 831/20048*c_1001_3^7 - 715/20048*c_1001_3^6 + 3691/10024*c_1001_3^5 + 13749/40096*c_1001_3^4 - 13555/20048*c_1001_3^3 - 12245/10024*c_1001_3^2 + 2391/2506*c_1001_3 - 89/1253, c_0011_0 - 1, c_0011_2 + 17/716*c_0101_2*c_1001_3^8 + 125/1432*c_0101_2*c_1001_3^7 - 5/179*c_0101_2*c_1001_3^6 - 467/1432*c_0101_2*c_1001_3^5 - 555/716*c_0101_2*c_1001_3^4 - 66/179*c_0101_2*c_1001_3^3 + 207/358*c_0101_2*c_1001_3^2 + 304/179*c_0101_2*c_1001_3 - 40/179*c_0101_2, c_0011_3 - 35/716*c_0101_2*c_1001_3^8 - 155/716*c_0101_2*c_1001_3^7 - 11/358*c_0101_2*c_1001_3^6 + 665/716*c_0101_2*c_1001_3^5 + 1269/716*c_0101_2*c_1001_3^4 - 1/179*c_0101_2*c_1001_3^3 - 271/179*c_0101_2*c_1001_3^2 - 310/179*c_0101_2*c_1001_3 + 135/179*c_0101_2, c_0101_0 - 95/1432*c_0101_2*c_1001_3^8 - 43/179*c_0101_2*c_1001_3^7 + 375/1432*c_0101_2*c_1001_3^6 + 248/179*c_0101_2*c_1001_3^5 + 661/716*c_0101_2*c_1001_3^4 - 321/179*c_0101_2*c_1001_3^3 - 531/358*c_0101_2*c_1001_3^2 - 165/179*c_0101_2*c_1001_3 + 196/179*c_0101_2, c_0101_2^2 - 9/179*c_1001_3^8 - 185/716*c_1001_3^7 - 21/179*c_1001_3^6 + 863/716*c_1001_3^5 + 893/358*c_1001_3^4 + 269/358*c_1001_3^3 - 514/179*c_1001_3^2 - 907/179*c_1001_3 - 526/179, c_0110_3 - 5/716*c_1001_3^8 + 29/716*c_1001_3^7 + 227/716*c_1001_3^6 + 95/716*c_1001_3^5 - 204/179*c_1001_3^4 - 793/358*c_1001_3^3 - 141/179*c_1001_3^2 + 237/179*c_1001_3 + 454/179, c_1001_3^9 + 4*c_1001_3^8 - 2*c_1001_3^7 - 20*c_1001_3^6 - 23*c_1001_3^5 + 12*c_1001_3^4 + 28*c_1001_3^3 + 28*c_1001_3^2 - 16*c_1001_3 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB