Magma V2.19-8 Tue Aug 20 2013 16:17:30 on localhost [Seed = 1949690029] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1737 geometric_solution 5.43809445 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595771305183 0.461250503743 0 3 4 2 0132 2103 1230 3012 0 0 0 0 0 0 0 0 -1 0 0 1 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 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074639415299 1.226231531814 5 0 1 5 0132 0132 1230 1023 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 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.569533391480 0.219482866658 5 1 5 0 1230 2103 0321 0132 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 1 0 -1 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 0.145010151553 1.451542857320 6 6 0 1 0132 2310 0132 3012 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 0.771411500139 1.161697432837 2 3 3 2 0132 3012 0321 1023 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931856279434 0.682114526458 4 6 6 4 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 -0.746256056150 0.400259059318 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_0_2' : negation(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' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], '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_0011_0'], 'c_0011_5' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_6']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_6'])})} 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_0011_4, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 11863585/431818*c_0101_6^13 + 210949415/11227268*c_0101_6^12 + 2799351813/11227268*c_0101_6^11 + 1097877689/5613634*c_0101_6^10 + 2843454701/2806817*c_0101_6^9 + 7036217283/11227268*c_0101_6^8 + 12183628091/5613634*c_0101_6^7 + 5412180379/5613634*c_0101_6^6 + 14213997925/5613634*c_0101_6^5 + 2452790003/2806817*c_0101_6^4 + 3828369704/2806817*c_0101_6^3 + 4888876413/11227268*c_0101_6^2 + 3031228303/11227268*c_0101_6 + 991480869/11227268, c_0011_0 - 1, c_0011_3 - 4574432/2806817*c_0101_6^13 - 594374/2806817*c_0101_6^12 - 38222789/2806817*c_0101_6^11 - 9395245/2806817*c_0101_6^10 - 10598430/215909*c_0101_6^9 - 8021440/2806817*c_0101_6^8 - 258411046/2806817*c_0101_6^7 + 40454723/2806817*c_0101_6^6 - 252427168/2806817*c_0101_6^5 + 5257191/215909*c_0101_6^4 - 79374998/2806817*c_0101_6^3 + 21797726/2806817*c_0101_6^2 + 138464/2806817*c_0101_6 - 1950321/2806817, c_0011_4 - 1379532/2806817*c_0101_6^13 - 458195/2806817*c_0101_6^12 - 24317797/5613634*c_0101_6^11 - 5418862/2806817*c_0101_6^10 - 3620861/215909*c_0101_6^9 - 13578727/2806817*c_0101_6^8 - 192376891/5613634*c_0101_6^7 - 20738167/5613634*c_0101_6^6 - 210553073/5613634*c_0101_6^5 - 74031/431818*c_0101_6^4 - 90599893/5613634*c_0101_6^3 + 565137/5613634*c_0101_6^2 - 1256713/2806817*c_0101_6 - 998801/5613634, c_0101_1 + 1959574/2806817*c_0101_6^13 + 444128/2806817*c_0101_6^12 + 32542025/5613634*c_0101_6^11 + 5667381/2806817*c_0101_6^10 + 4467406/215909*c_0101_6^9 + 9324375/2806817*c_0101_6^8 + 210095013/5613634*c_0101_6^7 - 13830269/5613634*c_0101_6^6 + 182487283/5613634*c_0101_6^5 - 3078143/431818*c_0101_6^4 + 17839879/5613634*c_0101_6^3 - 13502577/5613634*c_0101_6^2 - 12940443/2806817*c_0101_6 + 1461271/5613634, c_0101_2 + 767230/2806817*c_0101_6^13 + 1622043/2806817*c_0101_6^12 + 7278840/2806817*c_0101_6^11 + 15060345/2806817*c_0101_6^10 + 2476319/215909*c_0101_6^9 + 54205657/2806817*c_0101_6^8 + 70006383/2806817*c_0101_6^7 + 100660256/2806817*c_0101_6^6 + 76291530/2806817*c_0101_6^5 + 7901392/215909*c_0101_6^4 + 35416258/2806817*c_0101_6^3 + 41203395/2806817*c_0101_6^2 + 5448176/2806817*c_0101_6 + 1137264/2806817, c_0101_3 - 4574432/2806817*c_0101_6^13 - 594374/2806817*c_0101_6^12 - 38222789/2806817*c_0101_6^11 - 9395245/2806817*c_0101_6^10 - 10598430/215909*c_0101_6^9 - 8021440/2806817*c_0101_6^8 - 258411046/2806817*c_0101_6^7 + 40454723/2806817*c_0101_6^6 - 252427168/2806817*c_0101_6^5 + 5257191/215909*c_0101_6^4 - 79374998/2806817*c_0101_6^3 + 21797726/2806817*c_0101_6^2 + 138464/2806817*c_0101_6 - 1950321/2806817, c_0101_6^14 + 1/2*c_0101_6^13 + 9*c_0101_6^12 + 11/2*c_0101_6^11 + 36*c_0101_6^10 + 33/2*c_0101_6^9 + 153/2*c_0101_6^8 + 22*c_0101_6^7 + 89*c_0101_6^6 + 17*c_0101_6^5 + 47*c_0101_6^4 + 17/2*c_0101_6^3 + 8*c_0101_6^2 + 2*c_0101_6 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB