Magma V2.19-8 Tue Aug 20 2013 16:16:23 on localhost [Seed = 1208603816] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0658 geometric_solution 4.63803459 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.721731396389 0.662081245101 0 4 2 4 0132 0132 0321 1023 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 0.845727625073 0.287548108683 3 0 1 0 1230 0132 0321 1302 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.539505042870 1.283638060085 5 2 0 5 0132 3012 0132 1023 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 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 0.628190834917 0.727099396607 6 1 6 1 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768902574124 0.116339015000 3 5 5 3 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.377936056640 0.448496808738 4 6 4 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664836484574 0.052275191641 ==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' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_1_1' : 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_0'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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_5']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 39317/11968*c_0101_4*c_0101_6^11 - 153985/5984*c_0101_4*c_0101_6^10 + 168121/2992*c_0101_4*c_0101_6^9 + 236839/5984*c_0101_4*c_0101_6^8 - 392243/1496*c_0101_4*c_0101_6^7 + 42691/544*c_0101_4*c_0101_6^6 + 6052899/11968*c_0101_4*c_0101_6^5 - 3081409/11968*c_0101_4*c_0101_6^4 - 760011/1496*c_0101_4*c_0101_6^3 + 1159351/5984*c_0101_4*c_0101_6^2 + 1499321/5984*c_0101_4*c_0101_6 - 152741/11968*c_0101_4, c_0011_0 - 1, c_0011_3 + 3/8*c_0101_4*c_0101_6^11 - 11/4*c_0101_4*c_0101_6^10 + 11/2*c_0101_4*c_0101_6^9 + 17/4*c_0101_4*c_0101_6^8 - 23*c_0101_4*c_0101_6^7 + 15/4*c_0101_4*c_0101_6^6 + 325/8*c_0101_4*c_0101_6^5 - 111/8*c_0101_4*c_0101_6^4 - 36*c_0101_4*c_0101_6^3 + 25/4*c_0101_4*c_0101_6^2 + 63/4*c_0101_4*c_0101_6 + 13/8*c_0101_4, c_0101_0 - c_0101_4*c_0101_6 + c_0101_4, c_0101_1 + c_0101_6^2 - c_0101_6 - 1, c_0101_4^2 - c_0101_6 - 1, c_0101_5 - 1/4*c_0101_6^11 + 3/2*c_0101_6^10 - 2*c_0101_6^9 - 7/2*c_0101_6^8 + 8*c_0101_6^7 + 7/2*c_0101_6^6 - 47/4*c_0101_6^5 - 11/4*c_0101_6^4 + 8*c_0101_6^3 + 5/2*c_0101_6^2 - 5/2*c_0101_6 - 3/4, c_0101_6^12 - 9*c_0101_6^11 + 26*c_0101_6^10 - 6*c_0101_6^9 - 98*c_0101_6^8 + 114*c_0101_6^7 + 145*c_0101_6^6 - 262*c_0101_6^5 - 101*c_0101_6^4 + 254*c_0101_6^3 + 48*c_0101_6^2 - 103*c_0101_6 - 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB