Magma V2.19-8 Tue Aug 20 2013 16:08:56 on localhost [Seed = 442205346] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m173 geometric_solution 3.88527134 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 3 0132 0132 0132 2310 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 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 -0.414991906373 0.945431842861 0 2 2 2 0132 2031 0132 3012 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 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 0.482358828737 0.923517988003 1 0 1 1 1302 0132 1230 0132 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 -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 0.482358828737 0.923517988003 0 4 4 0 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.112214351911 0.450692216392 4 3 3 4 3201 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.001428637436 0.695767190128 ==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' : 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_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_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), '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_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 70865083/3265628*c_0101_4^10 + 135205521/3265628*c_0101_4^9 - 579461743/3265628*c_0101_4^8 - 513989647/3265628*c_0101_4^7 + 100567167/816407*c_0101_4^6 - 4215489257/3265628*c_0101_4^5 + 1071070965/816407*c_0101_4^4 + 4367667620/816407*c_0101_4^3 - 3941967559/3265628*c_0101_4^2 - 2661514109/3265628*c_0101_4 - 617244909/3265628, c_0011_0 - 1, c_0011_3 - 983919/3265628*c_0101_4^10 + 886717/3265628*c_0101_4^9 + 7591367/3265628*c_0101_4^8 - 14441463/3265628*c_0101_4^7 + 4732953/816407*c_0101_4^6 + 22481797/3265628*c_0101_4^5 - 74095973/1632814*c_0101_4^4 + 53213665/1632814*c_0101_4^3 + 11315309/3265628*c_0101_4^2 - 7906167/3265628*c_0101_4 - 1805781/3265628, c_0101_0 - 638395/3265628*c_0101_4^10 - 800239/3265628*c_0101_4^9 + 5319015/3265628*c_0101_4^8 + 1358613/3265628*c_0101_4^7 - 256398/816407*c_0101_4^6 + 34221841/3265628*c_0101_4^5 - 27381199/1632814*c_0101_4^4 - 54880231/1632814*c_0101_4^3 + 47181853/3265628*c_0101_4^2 + 8155541/3265628*c_0101_4 + 2131095/3265628, c_0101_1 + 282565/3265628*c_0101_4^10 + 188219/3265628*c_0101_4^9 - 2239553/3265628*c_0101_4^8 + 790815/3265628*c_0101_4^7 - 377372/816407*c_0101_4^6 - 12839115/3265628*c_0101_4^5 + 7140770/816407*c_0101_4^4 + 6032010/816407*c_0101_4^3 - 13914205/3265628*c_0101_4^2 + 3691741/3265628*c_0101_4 - 508211/3265628, c_0101_4^11 + 2*c_0101_4^10 - 8*c_0101_4^9 - 8*c_0101_4^8 + 5*c_0101_4^7 - 59*c_0101_4^6 + 55*c_0101_4^5 + 252*c_0101_4^4 - 33*c_0101_4^3 - 42*c_0101_4^2 - 12*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB