Magma V2.19-8 Tue Aug 20 2013 16:14:53 on localhost [Seed = 981182034] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s863 geometric_solution 5.50687403 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 2 1302 2031 0132 0132 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 1 0 -1 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295191220894 0.575655709756 3 3 4 0 0132 2103 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.294673879756 1.375464375698 3 4 0 4 3012 3012 0132 1302 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 -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 -0.173475844543 1.508438091648 1 1 5 2 0132 2103 0132 1230 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 -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 0.526613873890 0.563616809065 2 5 2 1 1230 3012 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518544094107 0.614208083911 4 5 5 3 1230 1230 3012 0132 0 0 0 0 0 0 -1 1 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 0.260829792488 0.883356104048 ==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' : d['c_0101_4'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_4'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0101_4'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_2'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0011_2'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0011_5, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2*c_0101_4^9 - 20*c_0101_4^8 - 82*c_0101_4^7 - 174*c_0101_4^6 - 195*c_0101_4^5 - 92*c_0101_4^4 + 25*c_0101_4^3 + 53*c_0101_4^2 + 23*c_0101_4 + 4, c_0011_0 - 1, c_0011_1 - c_0101_4^9 - 9*c_0101_4^8 - 32*c_0101_4^7 - 55*c_0101_4^6 - 42*c_0101_4^5 - c_0101_4^4 + 20*c_0101_4^3 + 12*c_0101_4^2, c_0011_2 + c_0101_4^9 + 9*c_0101_4^8 + 32*c_0101_4^7 + 54*c_0101_4^6 + 36*c_0101_4^5 - 11*c_0101_4^4 - 27*c_0101_4^3 - 9*c_0101_4^2 + 3*c_0101_4 + 1, c_0011_5 + c_0101_4^9 + 10*c_0101_4^8 + 40*c_0101_4^7 + 79*c_0101_4^6 + 73*c_0101_4^5 + 12*c_0101_4^4 - 29*c_0101_4^3 - 19*c_0101_4^2 - c_0101_4 + 1, c_0101_2 - c_0101_4^7 - 7*c_0101_4^6 - 18*c_0101_4^5 - 19*c_0101_4^4 - 4*c_0101_4^3 + 6*c_0101_4^2 + 4*c_0101_4, c_0101_4^10 + 10*c_0101_4^9 + 41*c_0101_4^8 + 87*c_0101_4^7 + 97*c_0101_4^6 + 43*c_0101_4^5 - 19*c_0101_4^4 - 32*c_0101_4^3 - 12*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.210 seconds, Total memory usage: 32.09MB