Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 3035965540] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1415 geometric_solution 5.25206781 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.808865907393 0.111430896162 0 3 0 4 0132 0132 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 1 -1 -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 0.684916101374 0.414940833083 0 0 2 2 3201 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.632392618447 0.076070775891 5 1 5 4 0132 0132 3120 1230 0 1 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 -1 0 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 0.501521340941 1.290259475839 3 6 1 6 3012 0132 0132 1230 0 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.501521340941 1.290259475839 3 6 3 6 0132 0321 3120 1302 0 1 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 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 0 0 0 0.501521340941 1.290259475839 4 4 5 5 3012 0132 2031 0321 0 0 0 1 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 0 0 0 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 0.260540196930 0.674380842223 ==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' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_1001_3']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0110_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 39861/16*c_1001_3^10 + 158295/8*c_1001_3^9 - 1218169/16*c_1001_3^8 + 1389385/8*c_1001_3^7 - 4426783/16*c_1001_3^6 + 1244393/4*c_1001_3^5 - 1041015/4*c_1001_3^4 + 2502961/16*c_1001_3^3 - 1067125/16*c_1001_3^2 + 143485/8*c_1001_3 - 34031/16, c_0011_0 - 1, c_0011_4 - 3*c_1001_3^10 + 25*c_1001_3^9 - 101*c_1001_3^8 + 245*c_1001_3^7 - 415*c_1001_3^6 + 505*c_1001_3^5 - 460*c_1001_3^4 + 311*c_1001_3^3 - 154*c_1001_3^2 + 53*c_1001_3 - 10, c_0101_0 + 3*c_1001_3^10 - 25*c_1001_3^9 + 101*c_1001_3^8 - 245*c_1001_3^7 + 415*c_1001_3^6 - 505*c_1001_3^5 + 460*c_1001_3^4 - 311*c_1001_3^3 + 154*c_1001_3^2 - 52*c_1001_3 + 9, c_0101_1 - 87*c_1001_3^10 + 704*c_1001_3^9 - 2757*c_1001_3^8 + 6423*c_1001_3^7 - 10421*c_1001_3^6 + 11985*c_1001_3^5 - 10220*c_1001_3^4 + 6304*c_1001_3^3 - 2749*c_1001_3^2 + 769*c_1001_3 - 98, c_0101_3 - 1, c_0110_2 - 579/2*c_1001_3^10 + 2297*c_1001_3^9 - 17661/2*c_1001_3^8 + 20125*c_1001_3^7 - 64095/2*c_1001_3^6 + 36033*c_1001_3^5 - 30173*c_1001_3^4 + 36349/2*c_1001_3^3 - 15559/2*c_1001_3^2 + 2108*c_1001_3 - 507/2, c_1001_3^11 - 25/3*c_1001_3^10 + 101/3*c_1001_3^9 - 245/3*c_1001_3^8 + 415/3*c_1001_3^7 - 505/3*c_1001_3^6 + 460/3*c_1001_3^5 - 311/3*c_1001_3^4 + 154/3*c_1001_3^3 - 53/3*c_1001_3^2 + 11/3*c_1001_3 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB