Magma V2.19-8 Tue Aug 20 2013 16:16:37 on localhost [Seed = 458917826] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0913 geometric_solution 4.80867459 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 3201 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 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 0.953061989400 0.382931022405 0 0 1 1 0132 2310 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.485903764323 0.373510599420 3 0 0 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -1 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 -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 0.643729592589 0.202185977714 2 4 5 4 0132 0321 0132 3201 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 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581585255141 1.378444497883 5 3 2 3 0132 2310 0132 0321 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 1 0 -1 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 0.581585255141 1.378444497883 4 6 6 3 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 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 0.039045937234 0.291152378960 6 5 5 6 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.960214108595 1.155291909936 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(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' : 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' : 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' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} 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_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 438755/232*c_0101_2*c_0101_6^10 - 2483469/116*c_0101_2*c_0101_6^9 + 17825125/232*c_0101_2*c_0101_6^8 - 17111565/232*c_0101_2*c_0101_6^7 - 3980374/29*c_0101_2*c_0101_6^6 + 56307523/232*c_0101_2*c_0101_6^5 + 49576797/232*c_0101_2*c_0101_6^4 - 6519865/58*c_0101_2*c_0101_6^3 - 36041523/232*c_0101_2*c_0101_6^2 - 12118705/232*c_0101_2*c_0101_6 - 1351049/232*c_0101_2, c_0011_0 - 1, c_0011_4 - c_0101_2*c_0101_6^10 + 11*c_0101_2*c_0101_6^9 - 37*c_0101_2*c_0101_6^8 + 26*c_0101_2*c_0101_6^7 + 85*c_0101_2*c_0101_6^6 - 105*c_0101_2*c_0101_6^5 - 154*c_0101_2*c_0101_6^4 + 23*c_0101_2*c_0101_6^3 + 101*c_0101_2*c_0101_6^2 + 55*c_0101_2*c_0101_6 + 10*c_0101_2, c_0101_0 - 2069/4*c_0101_6^10 + 11773/2*c_0101_6^9 - 85507/4*c_0101_6^8 + 86291/4*c_0101_6^7 + 35788*c_0101_6^6 - 271845/4*c_0101_6^5 - 215319/4*c_0101_6^4 + 32461*c_0101_6^3 + 159665/4*c_0101_6^2 + 50803/4*c_0101_6 + 5403/4, c_0101_1 - 1735/4*c_0101_2*c_0101_6^10 + 9851/2*c_0101_2*c_0101_6^9 - 71201/4*c_0101_2*c_0101_6^8 + 70425/4*c_0101_2*c_0101_6^7 + 30614*c_0101_2*c_0101_6^6 - 225771/4*c_0101_2*c_0101_6^5 - 186893/4*c_0101_2*c_0101_6^4 + 26613*c_0101_2*c_0101_6^3 + 137343/4*c_0101_2*c_0101_6^2 + 44777/4*c_0101_2*c_0101_6 + 4869/4*c_0101_2, c_0101_2^2 - 2547/4*c_0101_6^10 + 14501/2*c_0101_6^9 - 105453/4*c_0101_6^8 + 106981/4*c_0101_6^7 + 43803*c_0101_6^6 - 335315/4*c_0101_6^5 - 262641/4*c_0101_6^4 + 40110*c_0101_6^3 + 195271/4*c_0101_6^2 + 61869/4*c_0101_6 + 6557/4, c_0101_3 - c_0101_6^10 + 11*c_0101_6^9 - 37*c_0101_6^8 + 26*c_0101_6^7 + 85*c_0101_6^6 - 105*c_0101_6^5 - 154*c_0101_6^4 + 23*c_0101_6^3 + 101*c_0101_6^2 + 55*c_0101_6 + 11, c_0101_6^11 - 11*c_0101_6^10 + 37*c_0101_6^9 - 26*c_0101_6^8 - 85*c_0101_6^7 + 105*c_0101_6^6 + 154*c_0101_6^5 - 23*c_0101_6^4 - 101*c_0101_6^3 - 54*c_0101_6^2 - 12*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB