Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 795784188] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1248 geometric_solution 5.14389160 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.762195121572 0.240068917079 0 2 2 0 3201 0132 1023 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 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 1.319887873755 1.013284873024 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 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 0.178350408183 0.201415128069 2 5 6 4 0132 0132 0132 0321 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 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 1.035248930174 1.268471778403 6 3 2 5 0132 0321 0132 2310 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 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035248930174 1.268471778403 4 3 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205043472955 1.026353493785 4 6 6 3 0132 1230 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 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.001374516005 0.596997102899 ==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_0011_4']), 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0101_5']), '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_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_4, c_0101_0, c_0101_3, c_0101_5, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 716321024/1072794709*c_0110_5^10 + 1051502882/1072794709*c_0110_5^9 + 1326044986/153256387*c_0110_5^8 - 8677327139/153256387*c_0110_5^7 + 140042453965/1072794709*c_0110_5^6 - 233479313884/1072794709*c_0110_5^5 + 243197388578/1072794709*c_0110_5^4 - 179470175400/1072794709*c_0110_5^3 + 16428750693/153256387*c_0110_5^2 - 58669761483/1072794709*c_0110_5 + 13041854394/1072794709, c_0011_0 - 1, c_0011_1 - 28852115/68701139*c_0110_5^10 - 5153727/68701139*c_0110_5^9 + 459786274/68701139*c_0110_5^8 - 133538912/5284703*c_0110_5^7 + 1291539189/68701139*c_0110_5^6 - 599234504/68701139*c_0110_5^5 + 378623248/68701139*c_0110_5^4 - 59153719/68701139*c_0110_5^3 - 231254265/68701139*c_0110_5^2 + 148030876/68701139*c_0110_5 + 17465234/68701139, c_0011_4 - 2732103/68701139*c_0110_5^10 - 1949860/68701139*c_0110_5^9 + 41967179/68701139*c_0110_5^8 - 10989968/5284703*c_0110_5^7 + 52872174/68701139*c_0110_5^6 - 44573998/68701139*c_0110_5^5 + 8523143/68701139*c_0110_5^4 - 83647765/68701139*c_0110_5^3 + 88967974/68701139*c_0110_5^2 + 9733396/68701139*c_0110_5 + 4579669/68701139, c_0101_0 - 11764435/68701139*c_0110_5^10 - 22805542/68701139*c_0110_5^9 + 170723827/68701139*c_0110_5^8 - 29472818/5284703*c_0110_5^7 - 508785048/68701139*c_0110_5^6 - 53549290/68701139*c_0110_5^5 + 93721001/68701139*c_0110_5^4 + 237192112/68701139*c_0110_5^3 - 24929221/68701139*c_0110_5^2 - 66498282/68701139*c_0110_5 - 21197677/68701139, c_0101_3 + 21460850/68701139*c_0110_5^10 + 15914852/68701139*c_0110_5^9 - 342900639/68701139*c_0110_5^8 + 84436461/5284703*c_0110_5^7 - 184153643/68701139*c_0110_5^6 - 272731609/68701139*c_0110_5^5 + 54251336/68701139*c_0110_5^4 - 78850307/68701139*c_0110_5^3 + 109345498/68701139*c_0110_5^2 + 22864457/68701139*c_0110_5 - 79094566/68701139, c_0101_5 + 22119195/68701139*c_0110_5^10 + 873541/68701139*c_0110_5^9 - 355403309/68701139*c_0110_5^8 + 105593571/5284703*c_0110_5^7 - 1141597127/68701139*c_0110_5^6 + 561991718/68701139*c_0110_5^5 - 613985486/68701139*c_0110_5^4 + 187902779/68701139*c_0110_5^3 + 111798887/68701139*c_0110_5^2 - 34316991/68701139*c_0110_5 - 4217492/68701139, c_0110_5^11 - 16*c_0110_5^9 + 63*c_0110_5^8 - 55*c_0110_5^7 + 27*c_0110_5^6 - 16*c_0110_5^5 + 4*c_0110_5^4 + 8*c_0110_5^3 - 4*c_0110_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB