Magma V2.19-8 Tue Aug 20 2013 16:18:13 on localhost [Seed = 3204391813] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2423 geometric_solution 5.77193054 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 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 0 -1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.014226467333 1.533358452911 0 3 5 4 0132 0321 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 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 0.378646735829 0.694475571854 6 0 0 5 0132 0132 1023 2031 0 0 0 0 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 0 0 0 0 0 0 0 -1 1 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 -0.014226467333 1.533358452911 6 4 0 1 1230 2310 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378646735829 0.694475571854 4 4 1 3 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.521154018190 0.223226327540 6 2 6 1 3012 1302 0321 0132 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.491091632223 1.605593434418 2 3 5 5 0132 3012 0321 1230 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 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 0.310560980542 0.334409140639 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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' : negation(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' : negation(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' : d['c_0101_1'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_1001_1']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_4, c_0011_5, c_0101_1, c_0110_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 220/203*c_0110_4^5 + 16/29*c_0110_4^4 + 302/203*c_0110_4^3 - 1462/203*c_0110_4^2 + 981/203*c_0110_4 + 715/203, c_0011_0 - 1, c_0011_3 - 6/29*c_0110_4^5 + 2/29*c_0110_4^4 + 23/29*c_0110_4^3 - 52/29*c_0110_4^2 - 12/29*c_0110_4 + 63/29, c_0011_4 - 2/29*c_0110_4^5 - 9/29*c_0110_4^4 - 2/29*c_0110_4^3 + 2/29*c_0110_4^2 - 4/29*c_0110_4 + 21/29, c_0011_5 - 8/29*c_0110_4^5 - 7/29*c_0110_4^4 + 21/29*c_0110_4^3 - 21/29*c_0110_4^2 - 16/29*c_0110_4 + 55/29, c_0101_1 + 6/29*c_0110_4^5 - 2/29*c_0110_4^4 - 23/29*c_0110_4^3 + 23/29*c_0110_4^2 + 12/29*c_0110_4 - 34/29, c_0110_4^6 - c_0110_4^5 - 2*c_0110_4^4 + 8*c_0110_4^3 - 7*c_0110_4^2 - 7*c_0110_4 + 7, c_1001_1 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0110_4, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 13/20*c_0110_4^6 + 3*c_0110_4^5 + 13/5*c_0110_4^4 - 27/5*c_0110_4^3 - 59/10*c_0110_4^2 + 161/20*c_0110_4 + 43/5, c_0011_0 - 1, c_0011_3 - 1/2*c_0110_4^6 - c_0110_4^5 + 2*c_0110_4^4 + 3*c_0110_4^3 - 5*c_0110_4^2 - 7/2*c_0110_4 + 5, c_0011_4 + 1/2*c_0110_4^6 + c_0110_4^5 - c_0110_4^4 - 2*c_0110_4^3 + 2*c_0110_4^2 + 3/2*c_0110_4 - 1, c_0011_5 - 1/2*c_0110_4^6 - c_0110_4^5 + c_0110_4^4 + 2*c_0110_4^3 - 2*c_0110_4^2 - 3/2*c_0110_4 + 1, c_0101_1 - 3/4*c_0110_4^6 - 5/4*c_0110_4^5 + 11/4*c_0110_4^4 + 15/4*c_0110_4^3 - 23/4*c_0110_4^2 - 7/2*c_0110_4 + 5, c_0110_4^7 + 3*c_0110_4^6 - c_0110_4^5 - 9*c_0110_4^4 + c_0110_4^3 + 14*c_0110_4^2 - 8, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB