Magma V2.19-8 Tue Aug 20 2013 16:16:51 on localhost [Seed = 3229703190] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1120 geometric_solution 4.98665748 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 1 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 1.193072719893 0.705425565542 0 4 3 5 0132 0132 2310 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 1 -1 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 -0.207567154781 1.535509242329 4 0 3 4 0321 0132 1023 0213 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 -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 0.702435219727 0.614077345441 5 1 2 0 1023 3201 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 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 0.347001443125 0.186563082780 2 1 0 2 0321 0132 0132 0213 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 -1 0 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 0.702435219727 0.614077345441 6 3 1 6 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.309945004305 0.781802703342 5 5 6 6 0132 2310 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 2.275174496879 0.433416392858 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : d['c_0101_0'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1001_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_1001_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(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_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_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_1, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 519181/7216*c_1001_0^11 - 273453/656*c_1001_0^10 + 9642739/7216*c_1001_0^9 + 2971291/3608*c_1001_0^8 - 1407051/1804*c_1001_0^7 + 3478239/3608*c_1001_0^6 - 15109341/7216*c_1001_0^5 + 2233933/3608*c_1001_0^4 - 8163467/7216*c_1001_0^3 + 1693719/7216*c_1001_0^2 - 749765/3608*c_1001_0 + 167373/3608, c_0011_0 - 1, c_0011_3 - 39/8*c_1001_0^11 - 235/8*c_1001_0^10 + 83*c_1001_0^9 + 567/8*c_1001_0^8 - 177/8*c_1001_0^7 + 279/4*c_1001_0^6 - 1137/8*c_1001_0^5 + 63/4*c_1001_0^4 - 88*c_1001_0^3 - 23/8*c_1001_0^2 - 135/8*c_1001_0 - 9/8, c_0101_0 - 1/8*c_1001_0^11 - 7/8*c_1001_0^10 + 3/2*c_1001_0^9 + 37/8*c_1001_0^8 - 1/8*c_1001_0^7 - 11/4*c_1001_0^6 - 11/8*c_1001_0^5 - 3/4*c_1001_0^3 - 23/8*c_1001_0^2 - 1/8*c_1001_0 - 9/8, c_0101_1 + c_1001_0^10 + 6*c_1001_0^9 - 17*c_1001_0^8 - 13*c_1001_0^7 + 2*c_1001_0^6 - 17*c_1001_0^5 + 29*c_1001_0^4 - 7*c_1001_0^3 + 24*c_1001_0^2 - c_1001_0 + 6, c_0101_3 - c_1001_0^11 - 6*c_1001_0^10 + 17*c_1001_0^9 + 13*c_1001_0^8 - 2*c_1001_0^7 + 17*c_1001_0^6 - 29*c_1001_0^5 + 7*c_1001_0^4 - 24*c_1001_0^3 + c_1001_0^2 - 7*c_1001_0, c_0101_6 + 33/8*c_1001_0^11 + 223/8*c_1001_0^10 - 215/4*c_1001_0^9 - 975/8*c_1001_0^8 + 31/8*c_1001_0^7 - 45/4*c_1001_0^6 + 435/8*c_1001_0^5 + 163/2*c_1001_0^4 + 31*c_1001_0^3 + 375/8*c_1001_0^2 + 43/8*c_1001_0 + 63/8, c_1001_0^12 + 6*c_1001_0^11 - 17*c_1001_0^10 - 13*c_1001_0^9 + 2*c_1001_0^8 - 17*c_1001_0^7 + 29*c_1001_0^6 - 7*c_1001_0^5 + 24*c_1001_0^4 - c_1001_0^3 + 8*c_1001_0^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB