Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 1764292026] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1286 geometric_solution 5.18080617 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.394048617103 0.361774743123 2 0 3 0 0132 2310 0132 0132 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 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 1.228906651519 0.902485508887 1 4 3 5 0132 0132 3012 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 -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 1.291489745764 0.814703850152 5 2 4 1 1023 1230 1023 0132 0 0 0 0 0 0 1 -1 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 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 1.291489745764 0.814703850152 4 2 3 4 3201 0132 1023 2310 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 -0.001895513058 0.587258604988 6 3 2 6 0132 1023 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.916923679337 0.364180591573 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.467229567734 0.400382981643 ==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_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_2_6' : 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' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 274/147*c_0101_6^5 - 410/21*c_0101_6^4 - 547/7*c_0101_6^3 - 24007/147*c_0101_6^2 - 3760/21*c_0101_6 - 4064/49, c_0011_0 - 1, c_0011_1 - c_0101_6^5 - 6*c_0101_6^4 - 15*c_0101_6^3 - 16*c_0101_6^2 - 2*c_0101_6 + 6, c_0011_3 + 2*c_0101_6^5 + 11*c_0101_6^4 + 25*c_0101_6^3 + 24*c_0101_6^2 + 2*c_0101_6 - 8, c_0101_0 - c_0101_6^5 - 5*c_0101_6^4 - 10*c_0101_6^3 - 8*c_0101_6^2 + c_0101_6 + 3, c_0101_1 + 2*c_0101_6^5 + 10*c_0101_6^4 + 21*c_0101_6^3 + 19*c_0101_6^2 + c_0101_6 - 6, c_0101_3 + 2*c_0101_6^5 + 11*c_0101_6^4 + 24*c_0101_6^3 + 21*c_0101_6^2 - 7, c_0101_6^6 + 7*c_0101_6^5 + 21*c_0101_6^4 + 32*c_0101_6^3 + 21*c_0101_6^2 - 2*c_0101_6 - 7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 997977/39661*c_0101_6^6 - 3472943/39661*c_0101_6^5 - 9486252/39661*c_0101_6^4 - 25023967/39661*c_0101_6^3 - 26660876/39661*c_0101_6^2 - 23304371/39661*c_0101_6 - 7537980/39661, c_0011_0 - 1, c_0011_1 - 173/2333*c_0101_6^6 - 496/2333*c_0101_6^5 - 1372/2333*c_0101_6^4 - 3073/2333*c_0101_6^3 - 1847/2333*c_0101_6^2 - 1192/2333*c_0101_6 + 1707/2333, c_0011_3 - 545/2333*c_0101_6^6 - 1603/2333*c_0101_6^5 - 4039/2333*c_0101_6^4 - 10463/2333*c_0101_6^3 - 6830/2333*c_0101_6^2 - 3890/2333*c_0101_6 + 752/2333, c_0101_0 - 141/2333*c_0101_6^6 - 175/2333*c_0101_6^5 - 390/2333*c_0101_6^4 - 1183/2333*c_0101_6^3 + 1893/2333*c_0101_6^2 + 1348/2333*c_0101_6 + 1162/2333, c_0101_1 + 297/2333*c_0101_6^6 + 865/2333*c_0101_6^5 + 2261/2333*c_0101_6^4 + 6314/2333*c_0101_6^3 + 3508/2333*c_0101_6^2 + 2869/2333*c_0101_6 - 611/2333, c_0101_3 + 23/2333*c_0101_6^6 + 12/2333*c_0101_6^5 + 560/2333*c_0101_6^4 + 921/2333*c_0101_6^3 + 1230/2333*c_0101_6^2 + 3867/2333*c_0101_6 - 173/2333, c_0101_6^7 + 3*c_0101_6^6 + 8*c_0101_6^5 + 21*c_0101_6^4 + 16*c_0101_6^3 + 14*c_0101_6^2 - c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB