Magma V2.19-8 Tue Aug 20 2013 16:14:24 on localhost [Seed = 2378961295] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s402 geometric_solution 4.65344163 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 2 2 3 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505195976927 0.635017913387 0 3 3 4 0132 0321 1302 0132 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 0 1 -1 0 0 1 -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 0.758064564512 0.792481115967 2 0 0 2 3201 0132 1023 2310 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 0 1.383529077856 0.545756179808 1 4 0 1 2031 2310 0132 0321 0 0 0 0 0 0 -1 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758064564512 0.792481115967 5 5 1 3 0132 3201 0132 3201 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 -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 0.407016227557 0.406739711126 4 5 4 5 0132 2310 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 -1.218025282753 0.504280158387 ==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_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' : d['1'], 's_2_5' : 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_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_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : 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' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 481223/40927*c_0101_5^16 - 5567100/40927*c_0101_5^15 + 25712736/40927*c_0101_5^14 - 54317028/40927*c_0101_5^13 + 18453503/40927*c_0101_5^12 + 161868566/40927*c_0101_5^11 - 338911497/40927*c_0101_5^10 + 151036048/40927*c_0101_5^9 + 383386878/40927*c_0101_5^8 - 601643574/40927*c_0101_5^7 + 135407328/40927*c_0101_5^6 + 379943178/40927*c_0101_5^5 - 310034101/40927*c_0101_5^4 - 17694441/40927*c_0101_5^3 + 96349857/40927*c_0101_5^2 - 17204039/40927*c_0101_5 - 7026791/40927, c_0011_0 - 1, c_0011_3 - 7742/40927*c_0101_5^16 + 104401/40927*c_0101_5^15 - 578098/40927*c_0101_5^14 + 1583322/40927*c_0101_5^13 - 1599742/40927*c_0101_5^12 - 2724258/40927*c_0101_5^11 + 10295329/40927*c_0101_5^10 - 10039373/40927*c_0101_5^9 - 5595630/40927*c_0101_5^8 + 20862890/40927*c_0101_5^7 - 13485267/40927*c_0101_5^6 - 7505468/40927*c_0101_5^5 + 13762809/40927*c_0101_5^4 - 3615469/40927*c_0101_5^3 - 2960218/40927*c_0101_5^2 + 1461221/40927*c_0101_5 + 23663/40927, c_0011_4 - 19514/40927*c_0101_5^16 + 248736/40927*c_0101_5^15 - 1262865/40927*c_0101_5^14 + 2988190/40927*c_0101_5^13 - 1754338/40927*c_0101_5^12 - 7672415/40927*c_0101_5^11 + 18914525/40927*c_0101_5^10 - 11273864/40927*c_0101_5^9 - 18296025/40927*c_0101_5^8 + 34354200/40927*c_0101_5^7 - 11615864/40927*c_0101_5^6 - 18550812/40927*c_0101_5^5 + 18247730/40927*c_0101_5^4 - 1300509/40927*c_0101_5^3 - 4429475/40927*c_0101_5^2 + 1396373/40927*c_0101_5 + 21846/40927, c_0101_0 + 26981/40927*c_0101_5^16 - 318625/40927*c_0101_5^15 + 1511092/40927*c_0101_5^14 - 3337904/40927*c_0101_5^13 + 1585184/40927*c_0101_5^12 + 8978263/40927*c_0101_5^11 - 20652124/40927*c_0101_5^10 + 11651545/40927*c_0101_5^9 + 19978466/40927*c_0101_5^8 - 36810113/40927*c_0101_5^7 + 13001793/40927*c_0101_5^6 + 19116001/40927*c_0101_5^5 - 19894428/40927*c_0101_5^4 + 2172683/40927*c_0101_5^3 + 4723377/40927*c_0101_5^2 - 1693044/40927*c_0101_5 - 31405/40927, c_0101_2 - 1366/40927*c_0101_5^16 + 26921/40927*c_0101_5^15 - 207156/40927*c_0101_5^14 + 782750/40927*c_0101_5^13 - 1335196/40927*c_0101_5^12 - 273327/40927*c_0101_5^11 + 5277659/40927*c_0101_5^10 - 8097959/40927*c_0101_5^9 + 484196/40927*c_0101_5^8 + 12109847/40927*c_0101_5^7 - 12178320/40927*c_0101_5^6 - 1586512/40927*c_0101_5^5 + 9514467/40927*c_0101_5^4 - 4070612/40927*c_0101_5^3 - 1654090/40927*c_0101_5^2 + 1215696/40927*c_0101_5 - 16558/40927, c_0101_5^17 - 11*c_0101_5^16 + 47*c_0101_5^15 - 84*c_0101_5^14 - 20*c_0101_5^13 + 350*c_0101_5^12 - 522*c_0101_5^11 - 41*c_0101_5^10 + 931*c_0101_5^9 - 837*c_0101_5^8 - 318*c_0101_5^7 + 907*c_0101_5^6 - 278*c_0101_5^5 - 325*c_0101_5^4 + 196*c_0101_5^3 + 39*c_0101_5^2 - 33*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB