Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 1141233788] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0235 geometric_solution 4.22307235 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291633809691 0.074331942011 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.808661492457 0.226870157188 3 0 3 0 0132 2310 2310 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.608871862562 1.167241543285 2 2 4 5 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 1 0 -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 -0.674675463330 1.794491312137 6 5 5 3 0132 2031 1230 0132 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 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 0.588875166383 0.593792476999 4 6 3 4 1302 3201 0132 3012 0 0 0 0 0 0 0 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 -1 1 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 0.588875166383 0.593792476999 4 6 5 6 0132 1302 2310 2031 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 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 0.602050953042 0.253339263947 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_4, c_0101_0, c_0101_1, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 513511/260*c_0101_1*c_0110_5^7 + 5201389/260*c_0101_1*c_0110_5^6 - 717091/10*c_0101_1*c_0110_5^5 + 5993824/65*c_0101_1*c_0110_5^4 + 5630043/260*c_0101_1*c_0110_5^3 - 1766549/26*c_0101_1*c_0110_5^2 - 16719117/260*c_0101_1*c_0110_5 - 4009219/260*c_0101_1, c_0011_0 - 1, c_0011_2 + 137/325*c_0110_5^7 - 1398/325*c_0110_5^6 + 389/25*c_0110_5^5 - 6612/325*c_0110_5^4 - 1426/325*c_0110_5^3 + 1018/65*c_0110_5^2 + 4534/325*c_0110_5 + 798/325, c_0011_4 - 252/65*c_0101_1*c_0110_5^7 + 2553/65*c_0101_1*c_0110_5^6 - 704/5*c_0101_1*c_0110_5^5 + 11767/65*c_0101_1*c_0110_5^4 + 2781/65*c_0101_1*c_0110_5^3 - 1743/13*c_0101_1*c_0110_5^2 - 8199/65*c_0101_1*c_0110_5 - 1948/65*c_0101_1, c_0101_0 - 1123/325*c_0101_1*c_0110_5^7 + 11367/325*c_0101_1*c_0110_5^6 - 3131/25*c_0101_1*c_0110_5^5 + 52223/325*c_0101_1*c_0110_5^4 + 12479/325*c_0101_1*c_0110_5^3 - 7697/65*c_0101_1*c_0110_5^2 - 36461/325*c_0101_1*c_0110_5 - 8942/325*c_0101_1, c_0101_1^2 + 207/650*c_0110_5^7 - 2053/650*c_0110_5^6 + 277/25*c_0110_5^5 - 4516/325*c_0110_5^4 - 2361/650*c_0110_5^3 + 659/65*c_0110_5^2 + 5999/650*c_0110_5 + 653/650, c_0101_4 - 43/325*c_0110_5^7 + 472/325*c_0110_5^6 - 146/25*c_0110_5^5 + 3093/325*c_0110_5^4 - 786/325*c_0110_5^3 - 292/65*c_0110_5^2 - 1276/325*c_0110_5 - 222/325, c_0110_5^8 - 10*c_0110_5^7 + 35*c_0110_5^6 - 42*c_0110_5^5 - 17*c_0110_5^4 + 33*c_0110_5^3 + 37*c_0110_5^2 + 12*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB