Magma V2.19-8 Tue Aug 20 2013 17:56:36 on localhost [Seed = 610635786] Type ? for help. Type -D to quit. Loading file "9^2_21__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_21 geometric_solution 9.81472970 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 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 1 0 -1 0 0 0 0 -1 1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.230646066241 1.513454245343 0 5 6 4 0132 0132 0132 1023 1 1 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 5 -5 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.200133787079 0.415661140270 4 0 7 3 1023 0132 0132 3120 1 1 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 0 1 1 0 -1 0 4 0 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145840380617 0.475629516831 2 8 6 0 3120 0132 1023 0132 1 1 0 1 0 0 1 -1 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 4 1 0 -5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246542537939 0.815409393330 5 2 0 1 0132 1023 0132 1023 1 1 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 -1 1 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703673171935 2.548361538561 4 1 9 10 0132 0132 0132 0132 1 1 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 0 -4 5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698758213821 0.818956315490 10 8 3 1 0132 1230 1023 0132 1 1 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 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 0.409938708578 0.476668487720 9 9 8 2 0321 3120 0132 0132 1 1 0 1 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 -1 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143350152300 0.986260245365 10 3 6 7 1023 0132 3012 0132 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 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746224894891 1.699295956185 7 7 10 5 0321 3120 2031 0132 1 1 0 1 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 -1 0 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 0.143350152300 0.986260245365 6 8 5 9 0132 1023 0132 1302 1 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 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 0.783354936791 0.493341996976 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0011_9']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_9']), 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_0011_10'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(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_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : negation(d['c_0101_3']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : negation(d['c_0011_9']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0101_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_8'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_7, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 6116095906578680486724/1285750524829260125*c_1100_0^8 + 30557567515273994398659/1285750524829260125*c_1100_0^7 + 79256950093549393078153/1285750524829260125*c_1100_0^6 + 4833652443455724617346/51430020993170405*c_1100_0^5 + 97041082111124978550922/1285750524829260125*c_1100_0^4 + 694977908916116052176/1285750524829260125*c_1100_0^3 - 80896870938020236708847/1285750524829260125*c_1100_0^2 - 70243986125366301013742/1285750524829260125*c_1100_0 - 20110616221690485696953/1285750524829260125, c_0011_0 - 1, c_0011_10 + 36005974686648/51688463309719*c_1100_0^8 + 82659044976960/51688463309719*c_1100_0^7 + 59722395968666/51688463309719*c_1100_0^6 - 209460801933993/51688463309719*c_1100_0^5 - 573261127990759/51688463309719*c_1100_0^4 - 580158593339792/51688463309719*c_1100_0^3 + 1134338183023/51688463309719*c_1100_0^2 + 468718221060598/51688463309719*c_1100_0 + 238785622554352/51688463309719, c_0011_7 - 143207507151450/51688463309719*c_1100_0^8 - 628961701951968/51688463309719*c_1100_0^7 - 1531998172233043/51688463309719*c_1100_0^6 - 2151666596417275/51688463309719*c_1100_0^5 - 1536796817800908/51688463309719*c_1100_0^4 + 212680533803889/51688463309719*c_1100_0^3 + 1444796788939622/51688463309719*c_1100_0^2 + 1119613184907133/51688463309719*c_1100_0 + 317409173156350/51688463309719, c_0011_9 + 38453910977052/51688463309719*c_1100_0^8 + 125647574836639/51688463309719*c_1100_0^7 + 240013074995969/51688463309719*c_1100_0^6 + 182925225594747/51688463309719*c_1100_0^5 - 99430939330422/51688463309719*c_1100_0^4 - 346878627462015/51688463309719*c_1100_0^3 - 217186725447875/51688463309719*c_1100_0^2 + 76575896059271/51688463309719*c_1100_0 + 115542896170041/51688463309719, c_0101_0 - 1, c_0101_1 - 24082624970946/51688463309719*c_1100_0^8 - 179742734100107/51688463309719*c_1100_0^7 - 518711397621510/51688463309719*c_1100_0^6 - 897654518726140/51688463309719*c_1100_0^5 - 820295066184357/51688463309719*c_1100_0^4 - 99079577909901/51688463309719*c_1100_0^3 + 633310418880419/51688463309719*c_1100_0^2 + 621679964397440/51688463309719*c_1100_0 + 149049247000409/51688463309719, c_0101_3 + 94219455372021/51688463309719*c_1100_0^8 + 325836476765253/51688463309719*c_1100_0^7 + 620063716405230/51688463309719*c_1100_0^6 + 496992467339204/51688463309719*c_1100_0^5 - 177333172733120/51688463309719*c_1100_0^4 - 789232163025243/51688463309719*c_1100_0^3 - 491705894449704/51688463309719*c_1100_0^2 + 173122042980582/51688463309719*c_1100_0 + 203474469013518/51688463309719, c_0101_6 - 33953493035727/51688463309719*c_1100_0^8 - 162615559528539/51688463309719*c_1100_0^7 - 371319371907077/51688463309719*c_1100_0^6 - 466104578354313/51688463309719*c_1100_0^5 - 203782156615884/51688463309719*c_1100_0^4 + 236661099356461/51688463309719*c_1100_0^3 + 384345962745383/51688463309719*c_1100_0^2 + 117175160353048/51688463309719*c_1100_0 - 45504914807347/51688463309719, c_0101_7 - 125777115039213/51688463309719*c_1100_0^8 - 561711148423258/51688463309719*c_1100_0^7 - 1344647655385241/51688463309719*c_1100_0^6 - 1833598455970297/51688463309719*c_1100_0^5 - 1191616232631450/51688463309719*c_1100_0^4 + 371672544189414/51688463309719*c_1100_0^3 + 1281722515348762/51688463309719*c_1100_0^2 + 833467170737331/51688463309719*c_1100_0 + 169953577786480/51688463309719, c_0101_8 - 121395455792208/51688463309719*c_1100_0^8 - 591388359551893/51688463309719*c_1100_0^7 - 1523266902730859/51688463309719*c_1100_0^6 - 2303703933027131/51688463309719*c_1100_0^5 - 1818481207819490/51688463309719*c_1100_0^4 + 6988097597122/51688463309719*c_1100_0^3 + 1554623582683176/51688463309719*c_1100_0^2 + 1281646028871773/51688463309719*c_1100_0 + 359835831192480/51688463309719, c_1100_0^9 + 329/81*c_1100_0^8 + 685/81*c_1100_0^7 + 676/81*c_1100_0^6 - 82/81*c_1100_0^5 - 344/27*c_1100_0^4 - 1001/81*c_1100_0^3 + 1/27*c_1100_0^2 + 479/81*c_1100_0 + 199/81 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB