Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 3069651567] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1823 geometric_solution 5.48162025 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 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 -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 0.434271065238 0.238934493114 0 3 0 3 0132 0132 2310 2310 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 -1 0 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 -0.767621332849 0.972539367664 4 0 5 0 0132 2310 0132 0132 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 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 0.798107601912 0.733604874550 1 1 4 5 3201 0132 3012 3012 0 0 0 0 0 1 -1 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 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 0 0 0 0 0.348729687888 1.267159146942 2 3 4 4 0132 1230 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 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 0 -1 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.085789082612 1.139701058224 6 6 3 2 0132 3201 1230 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143032305249 1.866944709356 5 6 5 6 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.527598230737 0.801912659474 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_5']})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 2393464883147/1441601948084*c_0101_5^22 + 13100695104959/1441601948084*c_0101_5^20 - 8032679546485/1441601948084*c_0101_5^18 - 14013191319947/720800974042*c_0101_5^16 + 4904515992350/360400487021*c_0101_5^14 - 21791559189288/360400487021*c_0101_5^12 - 69854329774751/1441601948084*c_0101_5^10 + 314472098222229/720800974042*c_0101_5^8 - 213743938771327/360400487021*c_0101_5^6 + 288688167243391/720800974042*c_0101_5^4 - 232787348898919/1441601948084*c_0101_5^2 + 10922745911141/360400487021, c_0011_0 - 1, c_0011_2 - 44793039064/360400487021*c_0101_5^22 + 195909478522/360400487021*c_0101_5^20 + 76089388909/360400487021*c_0101_5^18 - 482506766392/360400487021*c_0101_5^16 - 204479684955/360400487021*c_0101_5^14 - 1770960740816/360400487021*c_0101_5^12 - 3140105586587/360400487021*c_0101_5^10 + 8847911936957/360400487021*c_0101_5^8 - 5283286315182/360400487021*c_0101_5^6 + 3387281987418/360400487021*c_0101_5^4 - 370307245486/360400487021*c_0101_5^2 - 168226634137/360400487021, c_0011_5 + 50045833697/360400487021*c_0101_5^22 - 228482419933/360400487021*c_0101_5^20 - 43306625907/360400487021*c_0101_5^18 + 560089405957/360400487021*c_0101_5^16 + 113622674801/360400487021*c_0101_5^14 + 1906381474750/360400487021*c_0101_5^12 + 3169649462753/360400487021*c_0101_5^10 - 10456940960615/360400487021*c_0101_5^8 + 7883110499329/360400487021*c_0101_5^6 - 4574368488512/360400487021*c_0101_5^4 + 502284336355/360400487021*c_0101_5^2 - 125424639831/360400487021, c_0101_0 + 96086926442/360400487021*c_0101_5^23 - 435641593146/360400487021*c_0101_5^21 - 99822552080/360400487021*c_0101_5^19 + 1076953728395/360400487021*c_0101_5^17 + 290332913508/360400487021*c_0101_5^15 + 3663609036867/360400487021*c_0101_5^13 + 6094872430706/360400487021*c_0101_5^11 - 20112930612377/360400487021*c_0101_5^9 + 14020776556239/360400487021*c_0101_5^7 - 8361057239582/360400487021*c_0101_5^5 + 1705325114008/360400487021*c_0101_5^3 - 14040460282/360400487021*c_0101_5, c_0101_1 - 1, c_0101_2 + 16371811770/360400487021*c_0101_5^22 - 55051395733/360400487021*c_0101_5^20 - 93260921512/360400487021*c_0101_5^18 + 121878576128/360400487021*c_0101_5^16 + 226964583497/360400487021*c_0101_5^14 + 775566004480/360400487021*c_0101_5^12 + 1874883537056/360400487021*c_0101_5^10 - 1755092313175/360400487021*c_0101_5^8 - 672888065985/360400487021*c_0101_5^6 - 205847453398/360400487021*c_0101_5^4 - 736611037444/360400487021*c_0101_5^2 - 190421501833/360400487021, c_0101_5^24 - 5*c_0101_5^22 + c_0101_5^20 + 12*c_0101_5^18 - 2*c_0101_5^16 + 36*c_0101_5^14 + 45*c_0101_5^12 - 242*c_0101_5^10 + 238*c_0101_5^8 - 142*c_0101_5^6 + 53*c_0101_5^4 - 4*c_0101_5^2 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB