Magma V2.19-8 Wed Aug 21 2013 00:17:02 on localhost [Seed = 2295260549] Type ? for help. Type -D to quit. Loading file "K13n579__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n579 geometric_solution 11.39108922 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 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 -1 0 1 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 0.276006788177 0.858158071639 0 4 5 0 0132 0132 0132 2031 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 1 0 0 -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 0.574323640296 0.680752884979 6 7 8 0 0132 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 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 0.241887549962 1.241403305631 7 9 0 10 3012 0132 0132 0132 0 0 0 0 0 -1 0 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 -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 0.046123326268 1.372505231913 11 1 11 10 0132 0132 3012 3201 0 0 0 0 0 -1 0 1 -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 -1 0 1 -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 0.712424364721 0.878415399936 8 6 11 1 1023 2103 0321 0132 0 0 0 0 0 0 -1 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 -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 0.796840737712 1.201092469715 2 5 7 9 0132 2103 1023 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 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 0.427711641790 0.272379998588 12 2 6 3 0132 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759222919406 0.934899610325 12 5 10 2 3012 1023 0132 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 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 0.172473629671 0.434037319800 12 3 6 10 2031 0132 0132 3120 0 0 0 0 0 1 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.374058617327 0.538457718376 9 4 3 8 3120 2310 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 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 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 0.833410425822 1.084210361910 4 4 5 12 0132 1230 0321 3201 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 0 0 0 0 0 -1 1 0 1 0 -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 0.336616104181 1.028212176221 7 11 9 8 0132 2310 1302 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.182839078641 1.404114550017 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_12' : negation(d['c_0101_4']), 'c_1001_5' : negation(d['c_0011_12']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : negation(d['c_0101_4']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : 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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_10']), 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_1001_1']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_1100_0'], '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'], 'c_1100_12' : d['c_0101_2'], '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' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0011_12'], 'c_0110_11' : d['c_0101_4'], 'c_0110_10' : negation(d['c_0101_4']), 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0011_3'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : d['c_0101_4'], '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' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0101_4']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_4']), '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_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 3281/480*c_1100_0^7 - 509/480*c_1100_0^6 + 439/20*c_1100_0^5 + 311/60*c_1100_0^4 - 862/15*c_1100_0^3 - 407/30*c_1100_0^2 + 4449/160*c_1100_0 + 7927/480, c_0011_0 - 1, c_0011_10 + 3/4*c_1100_0^7 - 3/8*c_1100_0^6 - 2*c_1100_0^5 + c_1100_0^4 + 5*c_1100_0^3 - 2*c_1100_0^2 - 1/4*c_1100_0 + 1/8, c_0011_12 + c_1100_0, c_0011_3 + 1/2*c_1100_0^7 - 3/8*c_1100_0^6 - c_1100_0^5 + c_1100_0^4 + 3*c_1100_0^3 - 3*c_1100_0^2 + 3/2*c_1100_0 + 1/8, c_0011_5 + 1/8*c_1100_0^7 - 3/8*c_1100_0^6 + c_1100_0^4 - 3*c_1100_0^2 + 13/8*c_1100_0 + 9/8, c_0101_0 + 3/8*c_1100_0^6 - c_1100_0^4 + 2*c_1100_0^2 - 1/8, c_0101_1 - 1/8*c_1100_0^7 + 3/8*c_1100_0^6 - c_1100_0^4 + 2*c_1100_0^2 - 13/8*c_1100_0 - 1/8, c_0101_10 - 3/8*c_1100_0^6 + c_1100_0^4 - 3*c_1100_0^2 + c_1100_0 + 9/8, c_0101_11 + 1/8*c_1100_0^7 - 3/8*c_1100_0^6 + c_1100_0^4 - 2*c_1100_0^2 + 13/8*c_1100_0 + 1/8, c_0101_2 - 1/8*c_1100_0^7 + 1/4*c_1100_0^6 - c_1100_0^4 + 2*c_1100_0^2 - 13/8*c_1100_0 - 3/4, c_0101_4 - 3/8*c_1100_0^6 + c_1100_0^4 - 2*c_1100_0^2 + 1/8, c_1001_1 - 9/8*c_1100_0^7 + 3*c_1100_0^5 - 8*c_1100_0^3 + 3/8*c_1100_0, c_1100_0^8 - 3*c_1100_0^6 + 8*c_1100_0^4 - 3*c_1100_0^2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_4, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 49/60*c_1100_0^7 - 99/80*c_1100_0^6 - 149/60*c_1100_0^5 + 10/3*c_1100_0^4 + 391/60*c_1100_0^3 - 35/4*c_1100_0^2 - 143/60*c_1100_0 + 167/240, c_0011_0 - 1, c_0011_10 + 3/4*c_1100_0^7 + 1/8*c_1100_0^6 - 2*c_1100_0^5 + 5*c_1100_0^3 - 1/4*c_1100_0 + 5/8, c_0011_12 + 3/8*c_1100_0^7 - c_1100_0^5 + 3*c_1100_0^3 - 9/8*c_1100_0, c_0011_3 + c_1100_0^7 - 3*c_1100_0^5 + 8*c_1100_0^3 - 2*c_1100_0 + 1, c_0011_5 + 5/8*c_1100_0^7 - 3/8*c_1100_0^6 - 2*c_1100_0^5 + c_1100_0^4 + 5*c_1100_0^3 - 3*c_1100_0^2 - 15/8*c_1100_0 + 9/8, c_0101_0 + 3/8*c_1100_0^6 - c_1100_0^4 + 2*c_1100_0^2 - 1/8, c_0101_1 - 1/8*c_1100_0^7 - 1/8*c_1100_0^6 - 13/8*c_1100_0 - 5/8, c_0101_10 + 3/8*c_1100_0^6 - c_1100_0^4 + 3*c_1100_0^2 + c_1100_0 - 1/8, c_0101_11 + 5/8*c_1100_0^7 + 1/8*c_1100_0^6 - 2*c_1100_0^5 + 5*c_1100_0^3 - 15/8*c_1100_0 + 5/8, c_0101_2 - 1/8*c_1100_0^7 - 3/8*c_1100_0^6 + c_1100_0^4 - 2*c_1100_0^2 - 13/8*c_1100_0 + 1/8, c_0101_4 + 1/4*c_1100_0^6 - c_1100_0^4 + 2*c_1100_0^2 - 3/4, c_1001_1 - 9/8*c_1100_0^7 + 3*c_1100_0^5 - 8*c_1100_0^3 + 3/8*c_1100_0, c_1100_0^8 - 3*c_1100_0^6 + 8*c_1100_0^4 - 3*c_1100_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.190 Total time: 4.400 seconds, Total memory usage: 64.12MB