Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 4273955578] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s475 geometric_solution 4.84682327 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1302 2031 0132 2310 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 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 1.950578986246 1.235547950118 0 2 3 0 3201 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463471948440 0.680609939470 4 1 3 3 0132 0132 2103 3201 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 0 0 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 0.599640479359 1.219615322123 2 2 4 1 2103 2310 1023 0132 0 0 0 0 0 1 0 -1 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 0.599640479359 1.219615322123 2 5 3 5 0132 0132 1023 2310 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 0.674253027875 0.467543032644 4 4 5 5 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485580706730 0.167600986712 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : 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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_2, c_0101_4, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 19823/448*c_0110_5^11 + 25615/224*c_0110_5^10 + 39879/64*c_0110_5^9 - 479089/448*c_0110_5^8 - 392303/112*c_0110_5^7 + 35835/32*c_0110_5^6 + 4007723/448*c_0110_5^5 + 1473989/224*c_0110_5^4 - 104483/64*c_0110_5^3 - 204703/112*c_0110_5^2 + 4267/28*c_0110_5 + 7481/64, c_0011_0 - 1, c_0011_1 - 1223/2576*c_0110_5^11 + 845/644*c_0110_5^10 + 16603/2576*c_0110_5^9 - 32393/2576*c_0110_5^8 - 45569/1288*c_0110_5^7 + 11393/644*c_0110_5^6 + 241057/2576*c_0110_5^5 + 73289/1288*c_0110_5^4 - 72985/2576*c_0110_5^3 - 27539/1288*c_0110_5^2 + 1003/1288*c_0110_5 + 4373/2576, c_0011_3 - 2601/1288*c_0101_2*c_0110_5^11 + 3513/644*c_0101_2*c_0110_5^10 + 5091/184*c_0101_2*c_0110_5^9 - 66555/1288*c_0101_2*c_0110_5^8 - 48957/322*c_0101_2*c_0110_5^7 + 3007/46*c_0101_2*c_0110_5^6 + 503605/1288*c_0101_2*c_0110_5^5 + 83533/322*c_0101_2*c_0110_5^4 - 14727/184*c_0101_2*c_0110_5^3 - 37287/644*c_0101_2*c_0110_5^2 + 1445/161*c_0101_2*c_0110_5 + 245/184*c_0101_2, c_0101_2^2 - 289/2576*c_0110_5^11 + 44/161*c_0110_5^10 + 4297/2576*c_0110_5^9 - 6751/2576*c_0110_5^8 - 12681/1288*c_0110_5^7 + 933/322*c_0110_5^6 + 67083/2576*c_0110_5^5 + 22823/1288*c_0110_5^4 - 24503/2576*c_0110_5^3 - 12515/1288*c_0110_5^2 + 225/184*c_0110_5 + 1223/2576, c_0101_4 - 4015/5152*c_0110_5^11 + 5527/2576*c_0110_5^10 + 55081/5152*c_0110_5^9 - 107169/5152*c_0110_5^8 - 76479/1288*c_0110_5^7 + 79977/2576*c_0110_5^6 + 820747/5152*c_0110_5^5 + 232721/2576*c_0110_5^4 - 308461/5152*c_0110_5^3 - 53465/1288*c_0110_5^2 + 119/23*c_0110_5 + 20359/5152, c_0110_5^12 - 3*c_0110_5^11 - 13*c_0110_5^10 + 30*c_0110_5^9 + 69*c_0110_5^8 - 58*c_0110_5^7 - 191*c_0110_5^6 - 65*c_0110_5^5 + 97*c_0110_5^4 + 25*c_0110_5^3 - 20*c_0110_5^2 - c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB