Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 3987501272] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2777 geometric_solution 6.01041470 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 0 0 0 0 0 -1 0 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 -1 1 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 0.441134403755 0.468333798613 0 4 2 5 0132 0132 1230 0132 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 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 0.348140196012 0.991805093820 3 0 5 1 2031 0132 1230 3012 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 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 0.761339108913 0.654092762637 5 0 2 0 1302 2310 1302 0132 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 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 -0.065706504114 1.131415666132 6 1 5 6 0132 0132 3201 3201 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918489714254 0.659050567621 4 3 1 2 2310 2031 0132 3012 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 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 0.348140196012 0.991805093820 4 4 6 6 0132 2310 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 1.659059425294 0.391239924668 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : 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' : negation(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' : negation(d['1']), 's_0_4' : negation(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_4'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0110_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_0110_2'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 8292/83*c_0110_2^15 - 64660/83*c_0110_2^13 + 96761/83*c_0110_2^11 + 121448/83*c_0110_2^9 - 9136/83*c_0110_2^7 - 21135/83*c_0110_2^5 + 52259/83*c_0110_2^3 - 9961/83*c_0110_2, c_0011_0 - 1, c_0011_3 + 12890/83*c_0110_2^14 - 100431/83*c_0110_2^12 + 149837/83*c_0110_2^10 + 189191/83*c_0110_2^8 - 12120/83*c_0110_2^6 - 31613/83*c_0110_2^4 + 80389/83*c_0110_2^2 - 15466/83, c_0101_0 - 84400/83*c_0110_2^15 + 657748/83*c_0110_2^13 - 982292/83*c_0110_2^11 - 1237027/83*c_0110_2^9 + 81867/83*c_0110_2^7 + 206774/83*c_0110_2^5 - 527080/83*c_0110_2^3 + 101998/83*c_0110_2, c_0101_1 - 12890/83*c_0110_2^14 + 100431/83*c_0110_2^12 - 149837/83*c_0110_2^10 - 189191/83*c_0110_2^8 + 12120/83*c_0110_2^6 + 31613/83*c_0110_2^4 - 80389/83*c_0110_2^2 + 15466/83, c_0101_4 + 30342/83*c_0110_2^14 - 236439/83*c_0110_2^12 + 352964/83*c_0110_2^10 + 444924/83*c_0110_2^8 - 28994/83*c_0110_2^6 - 74233/83*c_0110_2^4 + 189308/83*c_0110_2^2 - 36566/83, c_0101_6 - 69408/83*c_0110_2^15 + 540862/83*c_0110_2^13 - 807425/83*c_0110_2^11 - 1017823/83*c_0110_2^9 + 66551/83*c_0110_2^7 + 169893/83*c_0110_2^5 - 433296/83*c_0110_2^3 + 83620/83*c_0110_2, c_0110_2^16 - 8*c_0110_2^14 + 53/4*c_0110_2^12 + 49/4*c_0110_2^10 - 4*c_0110_2^8 - 9/4*c_0110_2^6 + 27/4*c_0110_2^4 - 5/2*c_0110_2^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB