Magma V2.19-8 Tue Aug 20 2013 16:17:56 on localhost [Seed = 2648441178] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2161 geometric_solution 5.63684219 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.513558432335 1.479061346634 2 0 0 3 0132 0132 1023 0132 0 0 0 0 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 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 0.162870194634 0.202596326340 1 4 5 4 0132 0132 0132 2103 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 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 0.175596022496 1.809320903404 5 5 1 4 0132 0213 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.975459856501 1.536829106633 3 2 6 2 3201 0132 0132 2103 0 0 0 0 0 0 1 -1 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 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 0.499258853553 0.527495085304 3 6 3 2 0132 2103 0213 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403445314996 0.914938460512 6 5 6 4 2031 2103 1302 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 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 0.810454158549 0.667041553565 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0110_4']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_2'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_1001_2']), 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : 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_3, c_0011_6, c_0101_0, c_0101_2, c_0110_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 23748062341710704/211643058502249*c_1001_2^15 + 75700217881742380/211643058502249*c_1001_2^14 + 272727384827402960/211643058502249*c_1001_2^13 + 388001854388861965/211643058502249*c_1001_2^12 + 477868784812419401/211643058502249*c_1001_2^11 + 171631964865480390/211643058502249*c_1001_2^10 - 23146343036885144/211643058502249*c_1001_2^9 - 684216185394879947/211643058502249*c_1001_2^8 - 473232650821600707/211643058502249*c_1001_2^7 - 474525693475113518/211643058502249*c_1001_2^6 - 88056037550045832/211643058502249*c_1001_2^5 + 118155411386855424/211643058502249*c_1001_2^4 + 250533806818499053/211643058502249*c_1001_2^3 + 131012788538924902/211643058502249*c_1001_2^2 - 30122048609015739/211643058502249*c_1001_2 - 41014404113106508/211643058502249, c_0011_0 - 1, c_0011_3 + 156404436/24635439239*c_1001_2^15 + 18866882446/24635439239*c_1001_2^14 + 67436793920/24635439239*c_1001_2^13 + 241919003223/24635439239*c_1001_2^12 + 404446086923/24635439239*c_1001_2^11 + 558506472594/24635439239*c_1001_2^10 + 389590748357/24635439239*c_1001_2^9 + 185991222011/24635439239*c_1001_2^8 - 430739277781/24635439239*c_1001_2^7 - 502039249149/24635439239*c_1001_2^6 - 613147631046/24635439239*c_1001_2^5 - 322910639815/24635439239*c_1001_2^4 - 104764182932/24635439239*c_1001_2^3 + 134704185137/24635439239*c_1001_2^2 + 133076252665/24635439239*c_1001_2 + 34720299357/24635439239, c_0011_6 - 33925335904/24635439239*c_1001_2^15 - 118527542780/24635439239*c_1001_2^14 - 434895636550/24635439239*c_1001_2^13 - 715785206060/24635439239*c_1001_2^12 - 1006178959260/24635439239*c_1001_2^11 - 703997196214/24635439239*c_1001_2^10 - 385063614999/24635439239*c_1001_2^9 + 754265982711/24635439239*c_1001_2^8 + 854053587338/24635439239*c_1001_2^7 + 1146475611859/24635439239*c_1001_2^6 + 618977260665/24635439239*c_1001_2^5 + 238644369012/24635439239*c_1001_2^4 - 200134298665/24635439239*c_1001_2^3 - 242709688125/24635439239*c_1001_2^2 - 77196986631/24635439239*c_1001_2 - 2479091288/24635439239, c_0101_0 - 17173288684/24635439239*c_1001_2^15 - 57289767162/24635439239*c_1001_2^14 - 216333278772/24635439239*c_1001_2^13 - 346334761569/24635439239*c_1001_2^12 - 519441771239/24635439239*c_1001_2^11 - 378622036663/24635439239*c_1001_2^10 - 268564129231/24635439239*c_1001_2^9 + 343126576763/24635439239*c_1001_2^8 + 367581048580/24635439239*c_1001_2^7 + 677244514171/24635439239*c_1001_2^6 + 381305482025/24635439239*c_1001_2^5 + 204028427091/24635439239*c_1001_2^4 - 44646427131/24635439239*c_1001_2^3 - 142650931864/24635439239*c_1001_2^2 - 75591280251/24635439239*c_1001_2 - 34334532361/24635439239, c_0101_2 - 31195308340/24635439239*c_1001_2^15 - 114196490214/24635439239*c_1001_2^14 - 411524508974/24635439239*c_1001_2^13 - 699695709880/24635439239*c_1001_2^12 - 946537753809/24635439239*c_1001_2^11 - 645464598027/24635439239*c_1001_2^10 - 262264716219/24635439239*c_1001_2^9 + 777349565234/24635439239*c_1001_2^8 + 944120584044/24635439239*c_1001_2^7 + 1044056368953/24635439239*c_1001_2^6 + 548195680350/24635439239*c_1001_2^5 + 151382596117/24635439239*c_1001_2^4 - 267561037019/24635439239*c_1001_2^3 - 233954701493/24635439239*c_1001_2^2 - 62938000915/24635439239*c_1001_2 + 20607853028/24635439239, c_0110_4 - 4801778140/24635439239*c_1001_2^15 - 32412092474/24635439239*c_1001_2^14 - 113068031060/24635439239*c_1001_2^13 - 292140284847/24635439239*c_1001_2^12 - 437772774825/24635439239*c_1001_2^11 - 517087042730/24635439239*c_1001_2^10 - 324322813009/24635439239*c_1001_2^9 - 57764189572/24635439239*c_1001_2^8 + 464834908346/24635439239*c_1001_2^7 + 483406176453/24635439239*c_1001_2^6 + 585388897861/24635439239*c_1001_2^5 + 281192073122/24635439239*c_1001_2^4 + 76861086456/24635439239*c_1001_2^3 - 107574665424/24635439239*c_1001_2^2 - 112112526748/24635439239*c_1001_2 - 32560322122/24635439239, c_1001_2^16 + 7/2*c_1001_2^15 + 25/2*c_1001_2^14 + 20*c_1001_2^13 + 51/2*c_1001_2^12 + 14*c_1001_2^11 + 2*c_1001_2^10 - 57/2*c_1001_2^9 - 57/2*c_1001_2^8 - 53/2*c_1001_2^7 - 21/2*c_1001_2^6 + 3*c_1001_2^5 + 23/2*c_1001_2^4 + 17/2*c_1001_2^3 + 1/2*c_1001_2^2 - 2*c_1001_2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB