Magma V2.19-8 Tue Aug 20 2013 23:42:27 on localhost [Seed = 1107568431] Type ? for help. Type -D to quit. Loading file "L14n13553__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13553 geometric_solution 8.02283537 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 0 2 0 0132 1302 0132 2031 1 1 1 1 0 -1 0 1 0 0 -1 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441280174774 0.436875379536 0 3 5 4 0132 0132 0132 0132 1 1 1 1 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 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 -0.600402448451 1.216100370191 6 5 3 0 0132 1023 3201 0132 1 1 1 0 0 0 0 0 -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 0 0 0 0 0 0 1 0 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768028988214 0.476736672770 2 1 7 8 2310 0132 0132 0132 1 0 1 1 0 0 -1 1 -1 0 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 -1 1 0 2 0 0 -2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145179813386 1.493287163119 9 5 1 9 0132 0132 0132 2031 1 1 0 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 0 0 0 0 0 0 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323446886374 1.067061025495 2 4 6 1 1023 0132 3012 0132 1 1 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 -1 1 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674036895788 0.769298314199 2 5 9 7 0132 1230 0132 2310 1 1 0 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 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 1.081824601628 0.763366621910 6 8 8 3 3201 3120 2103 0132 1 0 1 1 0 -1 0 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 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 -0.064496162930 0.663393139356 7 7 3 9 2103 3120 0132 1302 1 0 1 1 0 1 -1 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 2 -2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.000000000000 0.000000000000 4 4 8 6 0132 1302 2031 0132 1 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 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739834918812 0.858292443135 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : negation(d['c_0011_8']), 's_2_8' : d['1'], 's_2_9' : 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_2_7' : d['1'], 's_0_8' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_7'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : negation(d['c_1001_6']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_9'], 'c_1100_2' : negation(d['c_0011_0']), 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : negation(d['c_0011_7']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_2'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), '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_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], '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_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_2']), 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0101_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_9, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 1257452187237663495/78893500646140593352*c_1001_6^10 + 28799954280171100637/394467503230702966760*c_1001_6^9 - 219596163854532471527/394467503230702966760*c_1001_6^8 + 43018193893671331165/78893500646140593352*c_1001_6^7 - 7202737772915412998/9861687580767574169*c_1001_6^6 + 779278871444240388843/197233751615351483380*c_1001_6^5 + 2068648086262128430647/394467503230702966760*c_1001_6^4 + 3747449554891414213399/394467503230702966760*c_1001_6^3 + 2746907946109431816453/394467503230702966760*c_1001_6^2 + 2090391778439531221691/394467503230702966760*c_1001_6 + 477063677371084726541/394467503230702966760, c_0011_0 - 1, c_0011_2 - 1, c_0011_7 - 1424304981761/1016564022344869*c_1001_6^10 - 19711036985760/1016564022344869*c_1001_6^9 - 4552244002205/1016564022344869*c_1001_6^8 + 444735891267985/1016564022344869*c_1001_6^7 - 580299338563228/1016564022344869*c_1001_6^6 + 254519207135166/1016564022344869*c_1001_6^5 - 3786006255066382/1016564022344869*c_1001_6^4 - 3425653946906635/1016564022344869*c_1001_6^3 - 5876218567287352/1016564022344869*c_1001_6^2 - 1453549803668248/1016564022344869*c_1001_6 - 2447965057777044/1016564022344869, c_0011_8 + 1113088637052/1016564022344869*c_1001_6^10 - 2072562856535/1016564022344869*c_1001_6^9 - 69634924066949/1016564022344869*c_1001_6^8 + 301565874545752/1016564022344869*c_1001_6^7 - 356403110364326/1016564022344869*c_1001_6^6 + 546109329315779/1016564022344869*c_1001_6^5 - 1277595721400679/1016564022344869*c_1001_6^4 - 1505131847055646/1016564022344869*c_1001_6^3 - 2142203658708815/1016564022344869*c_1001_6^2 - 918925892801796/1016564022344869*c_1001_6 - 722293374062261/1016564022344869, c_0101_0 + 2833616140609/1016564022344869*c_1001_6^10 + 9276797013610/1016564022344869*c_1001_6^9 - 114121365861978/1016564022344869*c_1001_6^8 + 240576244197151/1016564022344869*c_1001_6^7 - 299619094705404/1016564022344869*c_1001_6^6 + 687058822736983/1016564022344869*c_1001_6^5 + 383860290399866/1016564022344869*c_1001_6^4 + 576666137196204/1016564022344869*c_1001_6^3 + 686435454790838/1016564022344869*c_1001_6^2 + 361644999988937/1016564022344869*c_1001_6 + 176179963144166/1016564022344869, c_0101_1 - 9145424557750/1016564022344869*c_1001_6^10 - 40961247159434/1016564022344869*c_1001_6^9 + 329837506291728/1016564022344869*c_1001_6^8 - 320644027798163/1016564022344869*c_1001_6^7 + 220771649156603/1016564022344869*c_1001_6^6 - 1977507818952768/1016564022344869*c_1001_6^5 - 3186969708595034/1016564022344869*c_1001_6^4 - 3506742355111556/1016564022344869*c_1001_6^3 - 2035109830962991/1016564022344869*c_1001_6^2 - 1026397869209058/1016564022344869*c_1001_6 + 308578047469976/1016564022344869, c_0101_2 + 10398600153710/1016564022344869*c_1001_6^10 + 42482172965621/1016564022344869*c_1001_6^9 - 388982977250632/1016564022344869*c_1001_6^8 + 520711139976474/1016564022344869*c_1001_6^7 - 587573901352547/1016564022344869*c_1001_6^6 + 2955955527238194/1016564022344869*c_1001_6^5 + 1684225904561722/1016564022344869*c_1001_6^4 + 4509580242713594/1016564022344869*c_1001_6^3 - 670924447381518/1016564022344869*c_1001_6^2 + 1159229231112350/1016564022344869*c_1001_6 - 1379440540551673/1016564022344869, c_0101_3 - 14306790659501/1016564022344869*c_1001_6^10 - 65003167311228/1016564022344869*c_1001_6^9 + 508298221038941/1016564022344869*c_1001_6^8 - 488062969860490/1016564022344869*c_1001_6^7 + 421249117426849/1016564022344869*c_1001_6^6 - 3055898285694613/1016564022344869*c_1001_6^5 - 5141214779221562/1016564022344869*c_1001_6^4 - 6831746308385594/1016564022344869*c_1001_6^3 - 4940907562569384/1016564022344869*c_1001_6^2 - 4680944200889997/1016564022344869*c_1001_6 - 556429975967634/1016564022344869, c_0101_9 + 18686339587935/1016564022344869*c_1001_6^10 + 73546369656250/1016564022344869*c_1001_6^9 - 708943393032528/1016564022344869*c_1001_6^8 + 1062943257228137/1016564022344869*c_1001_6^7 - 1196514090356831/1016564022344869*c_1001_6^6 + 4861908886069397/1016564022344869*c_1001_6^5 + 3508228532877618/1016564022344869*c_1001_6^4 + 6772553915623835/1016564022344869*c_1001_6^3 + 2400589854255942/1016564022344869*c_1001_6^2 + 2165475042133033/1016564022344869*c_1001_6 - 440421300827116/1016564022344869, c_1001_6^11 + 4*c_1001_6^10 - 37*c_1001_6^9 + 57*c_1001_6^8 - 87*c_1001_6^7 + 301*c_1001_6^6 + 151*c_1001_6^5 + 562*c_1001_6^4 + 229*c_1001_6^3 + 390*c_1001_6^2 + 19*c_1001_6 + 109 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB