Magma V2.19-8 Tue Aug 20 2013 16:18:12 on localhost [Seed = 3852761304] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2411 geometric_solution 5.76601045 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 0 -1 1 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 0 0 0 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 0.534202188719 0.176393661144 0 2 0 3 0132 0132 1023 0132 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 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.837413275975 0.766816340053 4 1 4 5 0132 0132 0321 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 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 -0.357437697781 1.045423712966 5 5 1 4 1023 1302 0132 3201 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 0 1.336780007379 0.918378796197 2 3 2 6 0132 2310 0321 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.183348285109 0.656084419846 6 3 2 3 3012 1023 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.157249639774 0.553858315101 6 6 4 5 1302 2031 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.283972427079 0.642416852165 ==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' : 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' : 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' : d['c_0110_5'], 'c_1100_5' : d['c_1001_4'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], '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_1001_4'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_0110_5'], '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_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_5'], '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_0011_6, c_0101_0, c_0101_1, c_0110_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 11090343/21964*c_1001_4^9 + 188414401/43928*c_1001_4^8 + 304339975/43928*c_1001_4^7 + 625338457/43928*c_1001_4^6 - 199675092/5491*c_1001_4^5 + 418695721/43928*c_1001_4^4 + 449329671/21964*c_1001_4^3 - 148864065/21964*c_1001_4^2 - 124989503/43928*c_1001_4 + 40328283/43928, c_0011_0 - 1, c_0011_3 - 9553/304*c_1001_4^9 - 40609/152*c_1001_4^8 - 16465/38*c_1001_4^7 - 270751/304*c_1001_4^6 + 685015/304*c_1001_4^5 - 177343/304*c_1001_4^4 - 192975/152*c_1001_4^3 + 126243/304*c_1001_4^2 + 6595/38*c_1001_4 - 17163/304, c_0011_6 + 333/8*c_1001_4^9 + 707/2*c_1001_4^8 + 1141/2*c_1001_4^7 + 9385/8*c_1001_4^6 - 23989/8*c_1001_4^5 + 6359/8*c_1001_4^4 + 6721/4*c_1001_4^3 - 4499/8*c_1001_4^2 - 917/4*c_1001_4 + 603/8, c_0101_0 + 6607/304*c_1001_4^9 + 13945/76*c_1001_4^8 + 43831/152*c_1001_4^7 + 180867/304*c_1001_4^6 - 486961/304*c_1001_4^5 + 146567/304*c_1001_4^4 + 132591/152*c_1001_4^3 - 100837/304*c_1001_4^2 - 18041/152*c_1001_4 + 12975/304, c_0101_1 - 13491/304*c_1001_4^9 - 57065/152*c_1001_4^8 - 11306/19*c_1001_4^7 - 371977/304*c_1001_4^6 + 988169/304*c_1001_4^5 - 281557/304*c_1001_4^4 - 276357/152*c_1001_4^3 + 203113/304*c_1001_4^2 + 19303/76*c_1001_4 - 27729/304, c_0110_5 - 833/38*c_1001_4^9 - 28251/152*c_1001_4^8 - 45199/152*c_1001_4^7 - 92609/152*c_1001_4^6 + 30308/19*c_1001_4^5 - 64515/152*c_1001_4^4 - 69421/76*c_1001_4^3 + 12113/38*c_1001_4^2 + 19713/152*c_1001_4 - 6649/152, c_1001_4^10 + 9*c_1001_4^9 + 18*c_1001_4^8 + 35*c_1001_4^7 - 58*c_1001_4^6 - 18*c_1001_4^5 + 51*c_1001_4^4 + 7*c_1001_4^3 - 13*c_1001_4^2 - c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB