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Loading file "K12n25__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n25 geometric_solution 8.39210362 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.231586655797 0.689103769938 0 5 2 4 0132 0132 2103 1230 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 -1 0 1 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709304927580 0.742238142165 1 0 7 6 2103 0132 0132 0132 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 -1 0 1 0 0 1 -1 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687049912425 0.564033132357 8 9 7 0 0132 0132 3120 0132 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.340859328668 1.540907034505 1 8 0 9 3012 0213 0132 2103 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 -1 1 0 0 0 0 0 0 0 0 0 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.257310617572 0.483706725569 6 1 9 6 1023 0132 1023 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 -1 1 -1 0 0 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 0.649532654883 0.898905430549 5 5 2 8 3120 1023 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 1 -1 0 -1 0 1 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471891886403 0.730862794442 9 8 3 2 0132 0132 3120 0132 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 1 0 0 -1 -4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.231091440298 1.860935965654 3 7 4 6 0132 0132 0213 2103 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 1 -1 0 0 0 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417862117955 0.484495092537 7 3 5 4 0132 0132 1023 2103 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 -1 0 1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040097288739 0.442048033350 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_1001_2'], 's_2_8' : d['1'], 's_2_9' : 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_2_7' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_1100_8' : negation(d['c_0110_5']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_3']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : negation(d['c_0110_5']), '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_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' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0011_4'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_1, c_0101_3, c_0101_5, c_0101_6, c_0101_7, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 17/494*c_1001_2^7 + 14/247*c_1001_2^6 - 231/494*c_1001_2^5 + 49/247*c_1001_2^4 + 303/494*c_1001_2^3 - 181/494*c_1001_2^2 - 191/494*c_1001_2 + 16/247, c_0011_0 - 1, c_0011_3 + c_1001_2^6 - c_1001_2^5 - c_1001_2^3 + 2*c_1001_2 - 1, c_0011_4 + c_1001_2^7 - 3*c_1001_2^6 + 2*c_1001_2^5 - 2*c_1001_2^4 + 3*c_1001_2^3 + c_1001_2^2 - 3*c_1001_2 + 2, c_0101_1 - c_1001_2^7 + 2*c_1001_2^6 - c_1001_2^5 + 2*c_1001_2^4 - 2*c_1001_2^3 - c_1001_2^2 + c_1001_2 - 1, c_0101_3 + c_1001_2^7 - 2*c_1001_2^6 + 2*c_1001_2^5 - 3*c_1001_2^4 + 2*c_1001_2^3 - c_1001_2 + 2, c_0101_5 + 3*c_1001_2^7 - 6*c_1001_2^6 + 5*c_1001_2^5 - 6*c_1001_2^4 + 6*c_1001_2^3 + 2*c_1001_2^2 - 6*c_1001_2 + 4, c_0101_6 + 2*c_1001_2^7 - 4*c_1001_2^6 + 3*c_1001_2^5 - 4*c_1001_2^4 + 4*c_1001_2^3 + 2*c_1001_2^2 - 4*c_1001_2 + 3, c_0101_7 + c_1001_2^7 - c_1001_2^6 + c_1001_2^5 - 2*c_1001_2^4 + c_1001_2^3 + 1, c_0110_5 - c_1001_2^7 + c_1001_2^6 + c_1001_2^4 - 2*c_1001_2^2 + c_1001_2, c_1001_2^8 - c_1001_2^7 - c_1001_2^5 + 2*c_1001_2^3 - c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB