Magma V2.19-8 Tue Aug 20 2013 16:16:35 on localhost [Seed = 290491853] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0886 geometric_solution 4.78777152 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 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 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 2.982115259017 1.067842113486 0 1 1 0 0132 3201 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 -0.553590289507 0.096126884135 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 1 0 -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 1 0 -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 -0.083736155763 0.700129546714 4 2 5 4 2310 0132 0132 2031 0 0 0 0 0 -1 0 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 -1 1 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 0.228596874317 0.763356536715 5 3 3 2 2310 1302 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228596874317 0.763356536715 6 6 4 3 0132 2310 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285753762705 0.972588898373 5 6 6 5 0132 1230 3012 3201 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 1 -1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.397752106756 0.527139288554 ==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' : 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' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], '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_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 6367607/17213*c_0101_3^11 + 48018639/17213*c_0101_3^10 + 83823805/34426*c_0101_3^9 - 219244185/17213*c_0101_3^8 - 403125377/34426*c_0101_3^7 + 723615661/34426*c_0101_3^6 + 348975637/34426*c_0101_3^5 - 128064399/17213*c_0101_3^4 - 25903839/4918*c_0101_3^3 - 477816/2459*c_0101_3^2 + 22541103/34426*c_0101_3 + 11978157/34426, c_0011_0 - 1, c_0011_2 - 39014/2459*c_0101_3^11 - 292499/2459*c_0101_3^10 - 242948/2459*c_0101_3^9 + 2725309/4918*c_0101_3^8 + 1190144/2459*c_0101_3^7 - 4578973/4918*c_0101_3^6 - 1019478/2459*c_0101_3^5 + 837088/2459*c_0101_3^4 + 1110625/4918*c_0101_3^3 + 12124/2459*c_0101_3^2 - 76313/2459*c_0101_3 - 38027/2459, c_0011_4 + 21385/2459*c_0101_1*c_0101_3^11 + 160513/2459*c_0101_1*c_0101_3^10 + 271495/4918*c_0101_1*c_0101_3^9 - 736156/2459*c_0101_1*c_0101_3^8 - 1291189/4918*c_0101_1*c_0101_3^7 + 1221026/2459*c_0101_1*c_0101_3^6 + 530492/2459*c_0101_1*c_0101_3^5 - 838219/4918*c_0101_1*c_0101_3^4 - 293613/2459*c_0101_1*c_0101_3^3 - 15664/2459*c_0101_1*c_0101_3^2 + 38595/2459*c_0101_1*c_0101_3 + 22194/2459*c_0101_1, c_0011_5 + 36229/2459*c_0101_1*c_0101_3^11 + 272319/2459*c_0101_1*c_0101_3^10 + 464013/4918*c_0101_1*c_0101_3^9 - 1251216/2459*c_0101_1*c_0101_3^8 - 1112696/2459*c_0101_1*c_0101_3^7 + 2080180/2459*c_0101_1*c_0101_3^6 + 1849531/4918*c_0101_1*c_0101_3^5 - 1495329/4918*c_0101_1*c_0101_3^4 - 477147/2459*c_0101_1*c_0101_3^3 - 22703/4918*c_0101_1*c_0101_3^2 + 62715/2459*c_0101_1*c_0101_3 + 33954/2459*c_0101_1, c_0101_0 - 39014/2459*c_0101_1*c_0101_3^11 - 292499/2459*c_0101_1*c_0101_3^10 - 242948/2459*c_0101_1*c_0101_3^9 + 2725309/4918*c_0101_1*c_0101_3^8 + 1190144/2459*c_0101_1*c_0101_3^7 - 4578973/4918*c_0101_1*c_0101_3^6 - 1019478/2459*c_0101_1*c_0101_3^5 + 837088/2459*c_0101_1*c_0101_3^4 + 1110625/4918*c_0101_1*c_0101_3^3 + 12124/2459*c_0101_1*c_0101_3^2 - 76313/2459*c_0101_1*c_0101_3 - 35568/2459*c_0101_1, c_0101_1^2 - 18621/2459*c_0101_3^11 - 139536/2459*c_0101_3^10 - 230271/4918*c_0101_3^9 + 1306191/4918*c_0101_3^8 + 568572/2459*c_0101_3^7 - 1100960/2459*c_0101_3^6 - 490031/2459*c_0101_3^5 + 408398/2459*c_0101_3^4 + 265895/2459*c_0101_3^3 + 6869/4918*c_0101_3^2 - 73545/4918*c_0101_3 - 39271/4918, c_0101_3^12 + 7*c_0101_3^11 + 5/2*c_0101_3^10 - 38*c_0101_3^9 - 13*c_0101_3^8 + 74*c_0101_3^7 - 7/2*c_0101_3^6 - 35*c_0101_3^5 - 3*c_0101_3^4 + 7*c_0101_3^3 + 2*c_0101_3^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB