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Loading file "K8a2__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K8a2 geometric_solution 9.93064829 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 0 -1 1 -7 0 0 7 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904688189812 1.386103476278 0 5 7 6 0132 0132 0132 0132 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 0 0 0 7 0 -1 -6 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759168078177 0.424254376902 8 0 5 8 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.904688189812 1.386103476278 6 5 8 0 0132 2031 2031 0132 0 0 0 0 0 0 0 0 -1 0 1 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 0 1 6 0 -6 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146921596502 0.334121742221 9 7 0 5 0132 0132 0132 0132 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 1 -1 0 0 0 -7 7 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032639092445 0.796115470853 3 1 4 2 1302 0132 0132 0132 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 7 0 -7 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 0.617448632511 0.440089473240 3 10 1 7 0132 0132 0132 3120 0 0 0 0 0 0 0 0 1 0 -1 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 -6 0 6 0 -7 6 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.021265379530 1.013210236798 6 4 10 1 3120 0132 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 1 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 0.349208355793 0.641533468796 2 2 9 3 0132 1302 1230 1302 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 -6 6 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 0.669790924791 0.505924529799 4 10 10 8 0132 1230 1302 3012 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 1 0 -1 0 0 -6 6 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662725379076 1.141109433788 9 6 9 7 2031 0132 3012 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 -1 1 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.238207652748 0.805933749198 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_9' : d['c_0101_10'], 'c_1100_8' : d['c_0101_1'], 'c_1100_5' : negation(d['c_1010_8']), 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : negation(d['c_1010_8']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_5'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_1010_8'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], '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_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_1, c_1001_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 33/400*c_1010_8^6 + 9/160*c_1010_8^5 + 379/800*c_1010_8^4 + 57/200*c_1010_8^3 + 77/100*c_1010_8^2 - 17/50*c_1010_8 - 49/50, c_0011_0 - 1, c_0011_10 + 1/16*c_1010_8^6 + 1/8*c_1010_8^5 + 5/16*c_1010_8^4 + 3/4*c_1010_8^3 + 1/2*c_1010_8^2 + c_1010_8, c_0011_4 + 1/16*c_1010_8^6 + 1/4*c_1010_8^5 + 9/16*c_1010_8^4 + 13/8*c_1010_8^3 + 9/4*c_1010_8^2 + 3*c_1010_8 + 2, c_0101_0 + 1/4*c_1010_8^4 + 1/4*c_1010_8^3 + c_1010_8^2 + c_1010_8 + 1, c_0101_1 - 1/4*c_1010_8^3 - 1/4*c_1010_8^2 - c_1010_8 - 1, c_0101_10 + 1, c_0101_2 + 1/4*c_1010_8^3 + 1/4*c_1010_8^2 + 1, c_0101_7 + 1/16*c_1010_8^6 + 5/16*c_1010_8^4 + 1/8*c_1010_8^3 + 1/4*c_1010_8^2 - 1/2*c_1010_8 - 1, c_1001_1 + 1/4*c_1010_8^3 + 1/4*c_1010_8^2 + c_1010_8 + 1, c_1001_5 - 1/16*c_1010_8^6 - 1/8*c_1010_8^5 - 9/16*c_1010_8^4 - c_1010_8^3 - 3/2*c_1010_8^2 - 2*c_1010_8, c_1010_8^7 + 2*c_1010_8^6 + 9*c_1010_8^5 + 16*c_1010_8^4 + 32*c_1010_8^3 + 40*c_1010_8^2 + 32*c_1010_8 + 32 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_1, c_1001_5, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9*c_1010_8^9 + 22*c_1010_8^7 - 2*c_1010_8^6 - 29*c_1010_8^5 + 30*c_1010_8^4 + 8*c_1010_8^3 - 34*c_1010_8^2 + 7*c_1010_8 + 14, c_0011_0 - 1, c_0011_10 + c_1010_8^8 + c_1010_8^7 - c_1010_8^6 + 3*c_1010_8^4 - c_1010_8^3 - 2*c_1010_8^2 + 2*c_1010_8, c_0011_4 + 2*c_1010_8^8 + c_1010_8^7 - 3*c_1010_8^6 + 5*c_1010_8^4 - 4*c_1010_8^3 - c_1010_8^2 + 4*c_1010_8 - 1, c_0101_0 + 2*c_1010_8^9 + c_1010_8^8 - 3*c_1010_8^7 + 5*c_1010_8^5 - 5*c_1010_8^4 - 2*c_1010_8^3 + 5*c_1010_8^2 - 1, c_0101_1 + c_1010_8^9 + 2*c_1010_8^8 - c_1010_8^7 - 2*c_1010_8^6 + 3*c_1010_8^5 + c_1010_8^4 - 5*c_1010_8^3 + 2*c_1010_8^2 + 2*c_1010_8 - 1, c_0101_10 + 2*c_1010_8^9 + c_1010_8^8 - 3*c_1010_8^7 + 5*c_1010_8^5 - 5*c_1010_8^4 - 2*c_1010_8^3 + 5*c_1010_8^2 - 2, c_0101_2 + 2*c_1010_8^9 + 2*c_1010_8^8 - 3*c_1010_8^7 - c_1010_8^6 + 6*c_1010_8^5 - 3*c_1010_8^4 - 5*c_1010_8^3 + 6*c_1010_8^2 - 2, c_0101_7 + c_1010_8^9 - c_1010_8^8 - 3*c_1010_8^7 + c_1010_8^6 + 3*c_1010_8^5 - 5*c_1010_8^4 + c_1010_8^3 + 3*c_1010_8^2 - 2*c_1010_8 - 1, c_1001_1 - c_1010_8^9 + 2*c_1010_8^7 - c_1010_8^6 - 3*c_1010_8^5 + 4*c_1010_8^4 - 4*c_1010_8^2 + 2*c_1010_8 + 1, c_1001_5 + c_1010_8^9 + c_1010_8^8 - 2*c_1010_8^7 - c_1010_8^6 + 4*c_1010_8^5 - c_1010_8^4 - 4*c_1010_8^3 + 4*c_1010_8^2 + 2*c_1010_8 - 2, c_1010_8^10 - 2*c_1010_8^8 + c_1010_8^7 + 3*c_1010_8^6 - 4*c_1010_8^5 + 4*c_1010_8^3 - 2*c_1010_8^2 - c_1010_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB