Magma V2.19-8 Tue Aug 20 2013 17:55:02 on localhost [Seed = 492612266] Type ? for help. Type -D to quit. Loading file "8_6__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_6 geometric_solution 7.47523743 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 8 1 1 2 3 0132 1230 0132 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 -1 0 0 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 0.791594326365 0.653679523603 0 4 0 5 0132 0132 3012 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 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 0.248903659500 0.620237262553 6 3 7 0 0132 0321 0132 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 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 1.197388252211 0.938165407198 6 5 0 2 3120 1302 0132 0321 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 -1 1 0 0 0 0 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471787387221 0.899864375515 7 1 5 7 2103 0132 3012 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 -1 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 0.579929987572 0.763160895434 6 4 1 3 2103 1230 0132 2031 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 5 0 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.042398384334 1.982323922568 2 7 5 3 0132 3012 2103 3120 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 -5 6 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 0.930611994276 0.671680696733 6 4 4 2 1230 2310 2103 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579929987572 0.763160895434 ==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_7' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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_2_7' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['c_0101_1']), 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : negation(d['c_0110_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_2']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_7' : negation(d['c_0110_4']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 5101721036/424962531*c_1001_0^10 - 6710492729/424962531*c_1001_0^9 - 3295973524/60708933*c_1001_0^8 + 7501246507/141654177*c_1001_0^7 + 22627217338/141654177*c_1001_0^6 - 17425949890/141654177*c_1001_0^5 - 20275011478/424962531*c_1001_0^4 - 140377746862/424962531*c_1001_0^3 + 111635142967/141654177*c_1001_0^2 - 44118618085/60708933*c_1001_0 + 41198936134/141654177, c_0011_0 - 1, c_0011_2 + 1262878/20236311*c_1001_0^10 - 249367/20236311*c_1001_0^9 - 5548160/20236311*c_1001_0^8 - 94228/6745437*c_1001_0^7 + 4395083/6745437*c_1001_0^6 - 219095/6745437*c_1001_0^5 + 898864/20236311*c_1001_0^4 - 22136573/20236311*c_1001_0^3 + 18185609/6745437*c_1001_0^2 - 26029976/20236311*c_1001_0 - 5011912/6745437, c_0011_3 - 1158064/6745437*c_1001_0^10 - 348737/6745437*c_1001_0^9 + 5430629/6745437*c_1001_0^8 + 1300885/2248479*c_1001_0^7 - 4302338/2248479*c_1001_0^6 - 4044745/2248479*c_1001_0^5 - 4684723/6745437*c_1001_0^4 + 33015278/6745437*c_1001_0^3 - 7144013/2248479*c_1001_0^2 + 9869099/6745437*c_1001_0 + 843166/2248479, c_0011_5 + 2885678/20236311*c_1001_0^10 - 194042/20236311*c_1001_0^9 - 13981231/20236311*c_1001_0^8 - 1536551/6745437*c_1001_0^7 + 12209200/6745437*c_1001_0^6 + 6150776/6745437*c_1001_0^5 - 2066176/20236311*c_1001_0^4 - 92749609/20236311*c_1001_0^3 + 28072594/6745437*c_1001_0^2 - 29864869/20236311*c_1001_0 - 811310/6745437, c_0101_0 - 3091645/20236311*c_1001_0^10 - 382547/20236311*c_1001_0^9 + 14412014/20236311*c_1001_0^8 + 2338984/6745437*c_1001_0^7 - 11555570/6745437*c_1001_0^6 - 6723724/6745437*c_1001_0^5 - 11669545/20236311*c_1001_0^4 + 75603536/20236311*c_1001_0^3 - 25725977/6745437*c_1001_0^2 + 32950082/20236311*c_1001_0 + 6777454/6745437, c_0101_1 - 5766931/20236311*c_1001_0^10 - 1196390/20236311*c_1001_0^9 + 26795033/20236311*c_1001_0^8 + 5237182/6745437*c_1001_0^7 - 21543230/6745437*c_1001_0^6 - 14656288/6745437*c_1001_0^5 - 16022260/20236311*c_1001_0^4 + 147239513/20236311*c_1001_0^3 - 49630193/6745437*c_1001_0^2 + 69369500/20236311*c_1001_0 + 13382266/6745437, c_0110_4 - 2655673/20236311*c_1001_0^10 + 815719/20236311*c_1001_0^9 + 14100383/20236311*c_1001_0^8 + 683665/6745437*c_1001_0^7 - 13372070/6745437*c_1001_0^6 - 4133197/6745437*c_1001_0^5 + 16739615/20236311*c_1001_0^4 + 87796469/20236311*c_1001_0^3 - 30782324/6745437*c_1001_0^2 + 31488809/20236311*c_1001_0 + 6815620/6745437, c_1001_0^11 - c_1001_0^10 - 5*c_1001_0^9 + 3*c_1001_0^8 + 15*c_1001_0^7 - 6*c_1001_0^6 - 8*c_1001_0^5 - 29*c_1001_0^4 + 57*c_1001_0^3 - 38*c_1001_0^2 + 3*c_1001_0 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB