Magma V2.19-8 Tue Aug 20 2013 17:55:02 on localhost [Seed = 627348114] Type ? for help. Type -D to quit. Loading file "8_7__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_7 geometric_solution 7.02219659 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 8 1 1 2 3 0132 1230 0132 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 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 0.917186280467 0.810168899701 0 4 0 5 0132 0132 3012 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 -1 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 0.387564346098 0.540976604673 5 3 3 0 0132 1023 0213 0132 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 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879953227759 0.711898945909 2 2 0 6 1023 0213 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313136361781 0.555685784888 6 1 7 6 1302 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.811727561744 0.665861418939 2 7 1 6 0132 1023 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.631887314677 0.724994557762 5 4 3 4 3120 2031 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.393202556618 1.390635903508 5 7 7 4 1023 3201 2310 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 -1 1 0 0 0 1 -1 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871649259831 0.428436385507 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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_2_7' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_7' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0101_7']), 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : d['c_0011_2'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_6, c_0101_7, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 10877/3835*c_0110_4^10 - 691/65*c_0110_4^9 - 68423/3835*c_0110_4^8 - 115189/3835*c_0110_4^7 - 2504/65*c_0110_4^6 - 66468/3835*c_0110_4^5 - 79042/3835*c_0110_4^4 - 168873/3835*c_0110_4^3 + 9697/295*c_0110_4^2 - 99971/3835*c_0110_4 + 28518/3835, c_0011_0 - 1, c_0011_2 - 16/13*c_0110_4^10 - 25/13*c_0110_4^9 - 36/13*c_0110_4^8 - 4*c_0110_4^7 - 22/13*c_0110_4^6 + 87/13*c_0110_4^5 - 126/13*c_0110_4^4 + 149/13*c_0110_4^3 - 48/13*c_0110_4^2 + 31/13*c_0110_4 - 9/13, c_0011_6 - 5/13*c_0110_4^10 - 9/13*c_0110_4^9 - 21/13*c_0110_4^8 - 37/13*c_0110_4^7 - 36/13*c_0110_4^6 - 11/13*c_0110_4^5 - 61/13*c_0110_4^4 + 71/13*c_0110_4^3 - 34/13*c_0110_4^2 + 22/13*c_0110_4 + 16/13, c_0101_0 + 19/13*c_0110_4^10 + 16/13*c_0110_4^9 + 33/13*c_0110_4^8 + 47/13*c_0110_4^7 - 1/13*c_0110_4^6 - 96/13*c_0110_4^5 + 224/13*c_0110_4^4 - 366/13*c_0110_4^3 + 280/13*c_0110_4^2 - 159/13*c_0110_4 + 51/13, c_0101_1 - 21/13*c_0110_4^10 - 30/13*c_0110_4^9 - 44/13*c_0110_4^8 - 67/13*c_0110_4^7 - 29/13*c_0110_4^6 + 102/13*c_0110_4^5 - 199/13*c_0110_4^4 + 215/13*c_0110_4^3 - 83/13*c_0110_4^2 + 43/13*c_0110_4 - 3/13, c_0101_6 + c_0110_4^10 + 15/13*c_0110_4^9 + 2*c_0110_4^8 + 37/13*c_0110_4^7 + 8/13*c_0110_4^6 - 5*c_0110_4^5 + 137/13*c_0110_4^4 - 191/13*c_0110_4^3 + 136/13*c_0110_4^2 - 70/13*c_0110_4 + 21/13, c_0101_7 + 7/13*c_0110_4^10 - 14/13*c_0110_4^9 - 20/13*c_0110_4^8 - 36/13*c_0110_4^7 - 82/13*c_0110_4^6 - 86/13*c_0110_4^5 + 160/13*c_0110_4^4 - 306/13*c_0110_4^3 + 311/13*c_0110_4^2 - 145/13*c_0110_4 + 74/13, c_0110_4^11 + c_0110_4^10 + 2*c_0110_4^9 + 3*c_0110_4^8 + c_0110_4^7 - 4*c_0110_4^6 + 12*c_0110_4^5 - 17*c_0110_4^4 + 13*c_0110_4^3 - 9*c_0110_4^2 + 3*c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB