Magma V2.19-8 Tue Aug 20 2013 16:08:53 on localhost [Seed = 1031578506] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m066 geometric_solution 3.39454052 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 5 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 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 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486257496144 0.093333692265 0 2 0 3 0132 0132 1023 0132 0 0 0 0 0 0 1 -1 0 0 1 -1 -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 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 0.177767152682 0.748815997599 4 1 3 3 0132 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 1.807659911292 1.829362970301 2 2 1 4 3012 1230 0132 3201 0 0 0 0 0 -1 1 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 -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 1.807659911292 1.829362970301 2 3 4 4 0132 2310 2031 1302 0 0 0 0 0 0 1 -1 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.056845418675 0.540661620021 ==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_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' : negation(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_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : 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' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_4' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 517/5908*c_0101_2^6 + 255/2954*c_0101_2^5 - 3011/2954*c_0101_2^4 + 15195/5908*c_0101_2^3 - 7698/1477*c_0101_2^2 + 26241/5908*c_0101_2 - 6018/1477, c_0011_0 - 1, c_0011_3 - 25/211*c_0101_2^6 - 112/211*c_0101_2^5 + 30/211*c_0101_2^4 - 234/211*c_0101_2^3 - 248/211*c_0101_2^2 - 98/211*c_0101_2 - 73/211, c_0101_0 + 73/422*c_0101_2^6 + 96/211*c_0101_2^5 - 297/211*c_0101_2^4 + 1215/422*c_0101_2^3 - 541/211*c_0101_2^2 + 379/422*c_0101_2 - 269/211, c_0101_1 - 99/422*c_0101_2^6 - 188/211*c_0101_2^5 + 186/211*c_0101_2^4 - 1087/422*c_0101_2^3 + 277/211*c_0101_2^2 - 329/422*c_0101_2 + 307/211, c_0101_2^7 + 4*c_0101_2^6 - 2*c_0101_2^5 + 15*c_0101_2^4 - 2*c_0101_2^3 + 13*c_0101_2^2 - 2*c_0101_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB