Magma V2.19-8 Tue Aug 20 2013 16:14:37 on localhost [Seed = 1494795615] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s597 geometric_solution 5.07488824 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.446188868711 1.374030253901 0 3 2 4 0132 0132 0132 0132 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 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 0.017835450304 0.827490267034 3 0 4 1 0132 0132 3201 0132 0 0 0 0 0 0 1 -1 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 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 0.017835450304 0.827490267034 2 1 5 5 0132 0132 0132 2310 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.353193935007 0.946691713707 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 1 0 -1 0 0 1 -1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.026034939987 1.207912279988 3 5 5 3 3201 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.567334699457 0.817195112143 ==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_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_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_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], '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_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1896306/10339*c_0101_2^9 - 776415/1477*c_0101_2^8 + 44345838/10339*c_0101_2^7 - 243828/10339*c_0101_2^6 - 178287997/10339*c_0101_2^5 + 67504901/10339*c_0101_2^4 + 215001733/10339*c_0101_2^3 - 61168922/10339*c_0101_2^2 - 9714268/1477*c_0101_2 - 13503555/10339, c_0011_0 - 1, c_0011_4 - 134/1477*c_0101_2^9 - 715/1477*c_0101_2^8 + 1678/1477*c_0101_2^7 + 5408/1477*c_0101_2^6 - 4946/1477*c_0101_2^5 - 14253/1477*c_0101_2^4 + 529/211*c_0101_2^3 + 12574/1477*c_0101_2^2 - 204/1477*c_0101_2 - 639/1477, c_0011_5 + 405/10339*c_0101_2^9 + 57/1477*c_0101_2^8 - 13795/10339*c_0101_2^7 + 7816/10339*c_0101_2^6 + 68886/10339*c_0101_2^5 - 33000/10339*c_0101_2^4 - 111113/10339*c_0101_2^3 + 12183/10339*c_0101_2^2 + 7604/1477*c_0101_2 + 10502/10339, c_0101_0 - 5059/10339*c_0101_2^9 - 279/211*c_0101_2^8 + 121845/10339*c_0101_2^7 - 14512/10339*c_0101_2^6 - 492280/10339*c_0101_2^5 + 227371/10339*c_0101_2^4 + 591098/10339*c_0101_2^3 - 209271/10339*c_0101_2^2 - 24950/1477*c_0101_2 - 22054/10339, c_0101_1 - 3838/10339*c_0101_2^9 - 1256/1477*c_0101_2^8 + 99019/10339*c_0101_2^7 - 37512/10339*c_0101_2^6 - 399709/10339*c_0101_2^5 + 257694/10339*c_0101_2^4 + 474687/10339*c_0101_2^3 - 223777/10339*c_0101_2^2 - 21106/1477*c_0101_2 - 21486/10339, c_0101_2^10 + 3*c_0101_2^9 - 23*c_0101_2^8 - 3*c_0101_2^7 + 94*c_0101_2^6 - 23*c_0101_2^5 - 118*c_0101_2^4 + 17*c_0101_2^3 + 40*c_0101_2^2 + 12*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB