Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 3263389202] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1190 geometric_solution 5.07040383 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 -1 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 0.461967849887 1.104890957237 3 2 4 0 0132 3012 0132 0132 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 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 1.150286067395 1.112883321541 1 3 0 4 1230 2310 0132 2310 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 -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 1.150286067395 1.112883321541 1 5 5 2 0132 0132 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.831336233780 0.332616526666 2 6 6 1 3201 0132 3201 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007278475376 0.352363817192 5 3 3 5 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.435661283396 0.476128190620 4 4 6 6 2310 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 1 -1 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 2.429413319251 0.992283135257 ==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_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_0011_1'], 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : 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' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 19209583/3249010*c_0101_6^9 + 1157626909/25992080*c_0101_6^8 + 807320509/12996040*c_0101_6^7 + 556890621/12996040*c_0101_6^6 - 13018711/1624505*c_0101_6^5 - 35603361/2599208*c_0101_6^4 + 600682397/25992080*c_0101_6^3 - 1178687143/25992080*c_0101_6^2 - 94153917/6498020*c_0101_6 + 684266809/12996040, c_0011_0 - 1, c_0011_1 + 57519/649802*c_0101_6^9 + 420389/649802*c_0101_6^8 + 262101/324901*c_0101_6^7 + 222047/324901*c_0101_6^6 + 132322/324901*c_0101_6^5 + 385645/649802*c_0101_6^4 + 367620/324901*c_0101_6^3 - 501271/649802*c_0101_6^2 - 62401/324901*c_0101_6 + 221439/324901, c_0011_4 + 22901/649802*c_0101_6^9 + 117025/649802*c_0101_6^8 - 96944/324901*c_0101_6^7 - 284100/324901*c_0101_6^6 - 437094/324901*c_0101_6^5 - 810241/649802*c_0101_6^4 - 82723/324901*c_0101_6^3 - 317375/649802*c_0101_6^2 + 196207/324901*c_0101_6 + 58239/324901, c_0101_0 + 65115/649802*c_0101_6^9 + 563651/649802*c_0101_6^8 + 612007/324901*c_0101_6^7 + 606164/324901*c_0101_6^6 + 358026/324901*c_0101_6^5 + 20623/649802*c_0101_6^4 + 37583/324901*c_0101_6^3 - 590651/649802*c_0101_6^2 - 319541/324901*c_0101_6 + 215503/324901, c_0101_1 - 45346/324901*c_0101_6^9 - 331697/324901*c_0101_6^8 - 399147/324901*c_0101_6^7 - 189457/324901*c_0101_6^6 + 251571/324901*c_0101_6^5 + 141904/324901*c_0101_6^4 - 91634/324901*c_0101_6^3 + 821348/324901*c_0101_6^2 + 319656/324901*c_0101_6 - 217244/324901, c_0101_5 - 49591/324901*c_0101_6^9 - 390971/324901*c_0101_6^8 - 668076/324901*c_0101_6^7 - 661127/324901*c_0101_6^6 - 227563/324901*c_0101_6^5 - 25970/324901*c_0101_6^4 - 215238/324901*c_0101_6^3 + 80346/324901*c_0101_6^2 + 135363/324901*c_0101_6 - 260910/324901, c_0101_6^10 + 8*c_0101_6^9 + 14*c_0101_6^8 + 12*c_0101_6^7 + 2*c_0101_6^6 - 3*c_0101_6^5 + 3*c_0101_6^4 - 6*c_0101_6^3 - 6*c_0101_6^2 + 8*c_0101_6 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB