Magma V2.19-8 Tue Aug 20 2013 16:18:23 on localhost [Seed = 2118116176] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2586 geometric_solution 5.88054502 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.036302104243 1.166820800690 0 1 3 1 0132 1302 1302 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 0.477499242341 0.318092398704 5 0 2 2 0132 0132 1230 3012 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 0 0 0 1 0 -1 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 0.289008539813 1.332576446049 1 6 5 0 2031 0132 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321923637423 0.546691505007 6 5 0 5 3120 1230 0132 0213 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 0 -0.984010076523 0.709611104817 2 3 4 4 0132 0213 3012 0213 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 0 0 0 0 0.613275420804 0.811039656315 6 3 6 4 2031 0132 1302 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.535272089381 1.396528955106 ==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' : negation(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' : negation(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_3'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_1010_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1010_5'], 'c_1100_3' : d['c_1010_5'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_5']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_5, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2962065907028324/1047466180067*c_1010_5^10 - 1380416673704203/61615657651*c_1010_5^9 - 30764749832605336/1047466180067*c_1010_5^8 - 3539286560117510/1047466180067*c_1010_5^7 - 3078756221484589/45542007829*c_1010_5^6 + 64731117488976408/1047466180067*c_1010_5^5 + 2319222813020644/61615657651*c_1010_5^4 - 62288793313206535/1047466180067*c_1010_5^3 + 155894461339607622/1047466180067*c_1010_5^2 + 35325942476744960/1047466180067*c_1010_5 - 38282403102013674/1047466180067, c_0011_0 - 1, c_0011_3 + 114256241/2678941637*c_1010_5^10 + 1044658882/2678941637*c_1010_5^9 + 2293235274/2678941637*c_1010_5^8 + 1596297486/2678941637*c_1010_5^7 + 2844473185/2678941637*c_1010_5^6 + 406058942/2678941637*c_1010_5^5 - 4683647805/2678941637*c_1010_5^4 + 1909981053/2678941637*c_1010_5^3 - 4611564077/2678941637*c_1010_5^2 - 6741001379/2678941637*c_1010_5 - 120748795/2678941637, c_0011_4 - 270196899/2678941637*c_1010_5^10 - 2030398884/2678941637*c_1010_5^9 - 2043031117/2678941637*c_1010_5^8 + 74495703/2678941637*c_1010_5^7 - 6560623013/2678941637*c_1010_5^6 + 9131097274/2678941637*c_1010_5^5 - 2064524279/2678941637*c_1010_5^4 - 3186313273/2678941637*c_1010_5^3 + 13864063285/2678941637*c_1010_5^2 - 3384368160/2678941637*c_1010_5 + 279493695/2678941637, c_0101_0 - 79533722/2678941637*c_1010_5^10 - 540545274/2678941637*c_1010_5^9 - 63924894/2678941637*c_1010_5^8 + 1246903857/2678941637*c_1010_5^7 - 1246056070/2678941637*c_1010_5^6 + 4120633530/2678941637*c_1010_5^5 + 109823633/2678941637*c_1010_5^4 - 5046824547/2678941637*c_1010_5^3 + 5019683380/2678941637*c_1010_5^2 - 4393560203/2678941637*c_1010_5 - 2858246808/2678941637, c_0101_2 + 73989568/2678941637*c_1010_5^10 + 441921470/2678941637*c_1010_5^9 - 314165470/2678941637*c_1010_5^8 - 1023138701/2678941637*c_1010_5^7 + 1517485192/2678941637*c_1010_5^6 - 5905992635/2678941637*c_1010_5^5 + 3124838404/2678941637*c_1010_5^4 + 260182921/2678941637*c_1010_5^3 - 4635951499/2678941637*c_1010_5^2 + 6557904803/2678941637*c_1010_5 + 1144690676/2678941637, c_0101_5 - 71122085/2678941637*c_1010_5^10 - 475697785/2678941637*c_1010_5^9 - 3568282/2678941637*c_1010_5^8 + 1145982190/2678941637*c_1010_5^7 - 1103776113/2678941637*c_1010_5^6 + 4076818210/2678941637*c_1010_5^5 + 331866972/2678941637*c_1010_5^4 - 3160036924/2678941637*c_1010_5^3 + 6454981799/2678941637*c_1010_5^2 - 5718166476/2678941637*c_1010_5 - 614739524/2678941637, c_1010_5^11 + 8*c_1010_5^10 + 11*c_1010_5^9 + 2*c_1010_5^8 + 24*c_1010_5^7 - 20*c_1010_5^6 - 15*c_1010_5^5 + 20*c_1010_5^4 - 51*c_1010_5^3 - 16*c_1010_5^2 + 12*c_1010_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB