Magma V2.19-8 Tue Aug 20 2013 16:16:43 on localhost [Seed = 3785391402] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1010 geometric_solution 4.89376413 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 0321 0132 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 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 0.623235835591 1.207971269831 0 2 0 3 0132 3201 0321 2310 0 0 0 0 0 1 -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 0 0 0 0 -1 0 1 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 0.623235835591 1.207971269831 4 0 1 4 0132 0132 2310 1023 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 -1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.004103819426 0.325816307462 1 5 0 5 3201 0132 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 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 1.313669827509 0.441077481184 2 4 4 2 0132 3201 2310 1023 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 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 2.019370221576 1.009868167164 6 3 6 3 0132 0132 2310 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 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 0.901041966738 0.292374315077 5 5 6 6 0132 3201 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603865614015 0.198103102666 ==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' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_5'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], '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_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0110_3'], 'c_1001_2' : d['c_0110_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_3']), 'c_1010_0' : d['c_0110_3']})} 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_3, c_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 49/16*c_0110_3^4 + 133/8*c_0110_3^2 - 245/16, c_0011_0 - 1, c_0011_3 + 7/4*c_0110_3^5 - 35/4*c_0110_3^3 + 9/2*c_0110_3, c_0101_0 + 7/16*c_0110_3^4 - 21/8*c_0110_3^2 + 15/16, c_0101_4 + 7/16*c_0110_3^5 - 21/8*c_0110_3^3 + 47/16*c_0110_3, c_0101_5 - 7/16*c_0110_3^5 + 21/8*c_0110_3^3 - 47/16*c_0110_3, c_0101_6 + 1, c_0110_3^6 - 5*c_0110_3^4 + 3*c_0110_3^2 - 1/7 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2817/707*c_0110_3^8 - 36829/2828*c_0110_3^6 + 50817/1414*c_0110_3^4 - 53503/2828*c_0110_3^2 + 9453/1414, c_0011_0 - 1, c_0011_3 + 1341/5656*c_0110_3^9 - 3209/5656*c_0110_3^7 + 9063/5656*c_0110_3^5 + 2517/5656*c_0110_3^3 - 285/707*c_0110_3, c_0101_0 - 603/2828*c_0110_3^8 + 649/707*c_0110_3^6 - 6723/2828*c_0110_3^4 + 4357/1414*c_0110_3^2 - 631/707, c_0101_4 + 171/2828*c_0110_3^9 - 653/1414*c_0110_3^7 + 4629/2828*c_0110_3^5 - 2227/707*c_0110_3^3 + 3513/1414*c_0110_3, c_0101_5 - 171/2828*c_0110_3^9 + 653/1414*c_0110_3^7 - 4629/2828*c_0110_3^5 + 2227/707*c_0110_3^3 - 3513/1414*c_0110_3, c_0101_6 - 1, c_0110_3^10 - 37/9*c_0110_3^8 + 107/9*c_0110_3^6 - 115/9*c_0110_3^4 + 20/3*c_0110_3^2 - 16/9 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_4, c_0101_5, c_0101_6, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 119991684641/25146574317*c_0110_3^14 - 3655297155059/25146574317*c_0110_3^12 + 23354071072685/25146574317*c_0110_3^10 - 17767414555355/8382191439*c_0110_3^8 + 89865846589421/8382191439*c_0110_3^6 - 275688972002240/25146574317*c_0110_3^4 + 113333316495419/25146574317*c_0110_3^2 - 5564428646747/8382191439, c_0011_0 - 1, c_0011_3 - 4115181218/8382191439*c_0110_3^15 + 41896620214/2794063813*c_0110_3^13 - 270283784690/2794063813*c_0110_3^11 + 1888412166784/8382191439*c_0110_3^9 - 3123310994351/2794063813*c_0110_3^7 + 10150603551839/8382191439*c_0110_3^5 - 1461364067496/2794063813*c_0110_3^3 + 718399151407/8382191439*c_0110_3, c_0101_0 - 1482366916/2794063813*c_0110_3^14 + 45240778962/2794063813*c_0110_3^12 - 291024077451/2794063813*c_0110_3^10 + 673696461924/2794063813*c_0110_3^8 - 3361430287447/2794063813*c_0110_3^6 + 3581322737640/2794063813*c_0110_3^4 - 1518608286315/2794063813*c_0110_3^2 + 243901457878/2794063813, c_0101_4 + 50717293823/226319168853*c_0110_3^15 - 1548687899114/226319168853*c_0110_3^13 + 9981949061879/226319168853*c_0110_3^11 - 859209961456/8382191439*c_0110_3^9 + 38430811245881/75439722951*c_0110_3^7 - 124213213893110/226319168853*c_0110_3^5 + 52970815263971/226319168853*c_0110_3^3 - 910441242971/25146574317*c_0110_3, c_0101_5 - 60392599063/226319168853*c_0110_3^15 + 1844938338220/226319168853*c_0110_3^13 - 11911037498011/226319168853*c_0110_3^11 + 343067401776/2794063813*c_0110_3^9 - 45898585601596/75439722951*c_0110_3^7 + 149853082006543/226319168853*c_0110_3^5 - 65399674203205/226319168853*c_0110_3^3 + 1219609636933/25146574317*c_0110_3, c_0101_6 + 361751632/25146574317*c_0110_3^14 - 10953431029/25146574317*c_0110_3^12 + 68422920922/25146574317*c_0110_3^10 - 16558527339/2794063813*c_0110_3^8 + 263560803178/8382191439*c_0110_3^6 - 691618466965/25146574317*c_0110_3^4 + 266748509095/25146574317*c_0110_3^2 - 4874649696/2794063813, c_0110_3^16 - 31*c_0110_3^14 + 211*c_0110_3^12 - 549*c_0110_3^10 + 2487*c_0110_3^8 - 3508*c_0110_3^6 + 2197*c_0110_3^4 - 666*c_0110_3^2 + 81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB