Magma V2.19-8 Tue Aug 20 2013 16:09:00 on localhost [Seed = 1031578502] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m272 geometric_solution 4.30028736 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 1 2 3 0132 3201 0132 0132 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 1 0 -1 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 -0.314578985585 0.619854509676 0 1 0 1 0132 1302 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.082687226726 1.701229052939 3 3 4 0 1023 2031 0132 0132 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 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 0.207854459668 0.676066011394 2 2 0 4 1302 1023 0132 2310 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 1 -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 0.207854459668 0.676066011394 3 4 4 2 3201 3201 2310 0132 0 0 0 0 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 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 1.120646802506 1.272730433088 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : 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' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_2']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_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_2, c_0011_4, c_0101_0, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 37809790/3265183*c_0101_4^9 + 341499702/3265183*c_0101_4^8 + 281823757/3265183*c_0101_4^7 + 556398473/3265183*c_0101_4^6 - 617976293/3265183*c_0101_4^5 + 947174014/3265183*c_0101_4^4 - 1240683043/3265183*c_0101_4^3 - 166661652/3265183*c_0101_4^2 + 451120233/3265183*c_0101_4 - 52360646/3265183, c_0011_0 - 1, c_0011_2 + 3564576/3265183*c_0101_4^9 + 34117199/3265183*c_0101_4^8 + 44454283/3265183*c_0101_4^7 + 71906711/3265183*c_0101_4^6 - 22583206/3265183*c_0101_4^5 + 69855036/3265183*c_0101_4^4 - 71167536/3265183*c_0101_4^3 - 68807968/3265183*c_0101_4^2 + 23543271/3265183*c_0101_4 + 7536582/3265183, c_0011_4 - 1435937/3265183*c_0101_4^9 - 14204180/3265183*c_0101_4^8 - 22521224/3265183*c_0101_4^7 - 36792873/3265183*c_0101_4^6 - 3831890/3265183*c_0101_4^5 - 30551093/3265183*c_0101_4^4 + 17206359/3265183*c_0101_4^3 + 30772207/3265183*c_0101_4^2 - 1856630/3265183*c_0101_4 - 2631761/3265183, c_0101_0 - 1006685/3265183*c_0101_4^9 - 10004926/3265183*c_0101_4^8 - 16060216/3265183*c_0101_4^7 - 24624488/3265183*c_0101_4^6 - 785663/3265183*c_0101_4^5 - 15978665/3265183*c_0101_4^4 + 12914201/3265183*c_0101_4^3 + 30011260/3265183*c_0101_4^2 - 1128599/3265183*c_0101_4 - 3647966/3265183, c_0101_4^10 + 9*c_0101_4^9 + 7*c_0101_4^8 + 13*c_0101_4^7 - 18*c_0101_4^6 + 23*c_0101_4^5 - 31*c_0101_4^4 - 8*c_0101_4^3 + 18*c_0101_4^2 - 2*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB