Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 2648441252] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0231 geometric_solution 4.19951045 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 2310 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 0 0 0 0 0 0 0 0 0 0 2.302848299684 0.814140667709 0 1 1 0 0132 3201 2310 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 -0.630639237015 0.108195680996 0 3 4 0 3201 0132 0132 0132 0 0 0 0 0 0 1 -1 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 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 0.583315334075 0.894937405356 4 2 5 4 2310 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.237504698960 0.549869858218 5 3 3 2 1023 2310 3201 0132 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.237504698960 0.549869858218 6 4 6 3 0132 1023 2310 0132 0 0 0 0 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 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 1.546220075826 1.907707183140 5 5 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.394840189846 0.240336218132 ==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' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], '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_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), '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' : negation(d['c_0101_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 384961/4257*c_0101_5^11 - 1373461/4257*c_0101_5^10 + 2229737/4257*c_0101_5^9 - 78068/129*c_0101_5^8 - 382539/473*c_0101_5^7 + 14578589/4257*c_0101_5^6 - 27941762/4257*c_0101_5^5 + 37455487/4257*c_0101_5^4 - 129319/33*c_0101_5^3 - 8034712/4257*c_0101_5^2 + 4240991/4257*c_0101_5 + 1237576/4257, c_0011_0 - 1, c_0011_2 + 26965/473*c_0101_5^11 - 59909/473*c_0101_5^10 + 61458/473*c_0101_5^9 - 5503/43*c_0101_5^8 - 370165/473*c_0101_5^7 + 574275/473*c_0101_5^6 - 1012259/473*c_0101_5^5 + 888974/473*c_0101_5^4 + 16517/11*c_0101_5^3 - 356434/473*c_0101_5^2 - 244476/473*c_0101_5 - 32387/473, c_0011_4 + 276517/473*c_0101_5^11 - 612108/473*c_0101_5^10 + 625391/473*c_0101_5^9 - 55990/43*c_0101_5^8 - 3800686/473*c_0101_5^7 + 5857979/473*c_0101_5^6 - 10334163/473*c_0101_5^5 + 9033558/473*c_0101_5^4 + 170977/11*c_0101_5^3 - 3592751/473*c_0101_5^2 - 2536443/473*c_0101_5 - 347107/473, c_0101_0 + 125740/473*c_0101_5^11 - 277972/473*c_0101_5^10 + 283478/473*c_0101_5^9 - 25368/43*c_0101_5^8 - 1729287/473*c_0101_5^7 + 2658882/473*c_0101_5^6 - 4690217/473*c_0101_5^5 + 4092380/473*c_0101_5^4 + 78104/11*c_0101_5^3 - 1626446/473*c_0101_5^2 - 1160354/473*c_0101_5 - 160492/473, c_0101_1 - 99248/473*c_0101_5^11 + 219482/473*c_0101_5^10 - 223912/473*c_0101_5^9 + 20037/43*c_0101_5^8 + 1364798/473*c_0101_5^7 - 2099743/473*c_0101_5^6 + 3703500/473*c_0101_5^5 - 3232732/473*c_0101_5^4 - 61598/11*c_0101_5^3 + 1286094/473*c_0101_5^2 + 915405/473*c_0101_5 + 125740/473, c_0101_3 + 160019/473*c_0101_5^11 - 354317/473*c_0101_5^10 + 362104/473*c_0101_5^9 - 32418/43*c_0101_5^8 - 2199276/473*c_0101_5^7 + 3391321/473*c_0101_5^6 - 5982144/473*c_0101_5^5 + 5230961/473*c_0101_5^4 + 98893/11*c_0101_5^3 - 2082174/473*c_0101_5^2 - 1466427/473*c_0101_5 - 200240/473, c_0101_5^12 - 3*c_0101_5^11 + 4*c_0101_5^10 - 4*c_0101_5^9 - 12*c_0101_5^8 + 32*c_0101_5^7 - 54*c_0101_5^6 + 62*c_0101_5^5 + c_0101_5^4 - 34*c_0101_5^3 + c_0101_5^2 + 6*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB