Magma V2.19-8 Tue Aug 20 2013 16:16:53 on localhost [Seed = 2749513596] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1146 geometric_solution 5.01649112 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 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 3.273058271449 0.932215449192 0 2 2 0 3201 0132 3201 0132 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 -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 -0.537286148733 0.823565064849 1 1 3 4 2310 0132 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.041568750622 0.301030226714 4 5 6 2 1023 0132 0132 0132 0 0 0 0 0 -1 0 1 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 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.232282292539 1.404345102464 5 3 2 6 2310 1023 0132 0132 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 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 -0.232282292539 1.404345102465 5 3 4 5 3201 0132 3201 2310 0 0 0 0 0 1 0 -1 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 1 0 -1 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 0.114642752299 0.693113478279 6 6 4 3 1230 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728376928213 1.451633674798 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_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_1, c_0011_3, c_0011_6, c_0101_1, c_0101_5, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 85703548/80767*c_0101_5*c_1100_2^10 + 621182242/80767*c_0101_5*c_1100_2^9 - 118829279/80767*c_0101_5*c_1100_2^8 - 389357642/4751*c_0101_5*c_1100_2^7 - 5553621578/80767*c_0101_5*c_1100_2^6 + 9244177154/80767*c_0101_5*c_1100_2^5 + 9613459996/80767*c_0101_5*c_1100_2^4 - 3053953942/80767*c_0101_5*c_1100_2^3 - 3116201374/80767*c_0101_5*c_1100_2^2 + 526140161/80767*c_0101_5*c_1100_2 + 23757941/80767*c_0101_5, c_0011_0 - 1, c_0011_1 - 195184/80767*c_1100_2^10 + 1549806/80767*c_1100_2^9 - 1285722/80767*c_1100_2^8 - 858798/4751*c_1100_2^7 - 2494136/80767*c_1100_2^6 + 27322887/80767*c_1100_2^5 + 6843734/80767*c_1100_2^4 - 18392729/80767*c_1100_2^3 - 1115377/80767*c_1100_2^2 + 4753181/80767*c_1100_2 - 954524/80767, c_0011_3 - 130158/80767*c_0101_5*c_1100_2^10 + 954818/80767*c_0101_5*c_1100_2^9 - 244208/80767*c_0101_5*c_1100_2^8 - 600239/4751*c_0101_5*c_1100_2^7 - 7274784/80767*c_0101_5*c_1100_2^6 + 15879690/80767*c_0101_5*c_1100_2^5 + 12833022/80767*c_0101_5*c_1100_2^4 - 7440255/80767*c_0101_5*c_1100_2^3 - 3917282/80767*c_0101_5*c_1100_2^2 + 1732767/80767*c_0101_5*c_1100_2 - 164205/80767*c_0101_5, c_0011_6 - 154451/80767*c_1100_2^10 + 1192138/80767*c_1100_2^9 - 754684/80767*c_1100_2^8 - 689368/4751*c_1100_2^7 - 4493397/80767*c_1100_2^6 + 20459099/80767*c_1100_2^5 + 9018885/80767*c_1100_2^4 - 12586665/80767*c_1100_2^3 - 2059998/80767*c_1100_2^2 + 3477375/80767*c_1100_2 - 683861/80767, c_0101_1 - 442244/80767*c_0101_5*c_1100_2^10 + 3352498/80767*c_0101_5*c_1100_2^9 - 1692591/80767*c_0101_5*c_1100_2^8 - 1990879/4751*c_0101_5*c_1100_2^7 - 17408042/80767*c_0101_5*c_1100_2^6 + 56360090/80767*c_0101_5*c_1100_2^5 + 33497882/80767*c_0101_5*c_1100_2^4 - 31030458/80767*c_0101_5*c_1100_2^3 - 10351238/80767*c_0101_5*c_1100_2^2 + 7632549/80767*c_0101_5*c_1100_2 - 850223/80767*c_0101_5, c_0101_5^2 - 163380/80767*c_1100_2^10 + 1303899/80767*c_1100_2^9 - 1111057/80767*c_1100_2^8 - 724422/4751*c_1100_2^7 - 1495900/80767*c_1100_2^6 + 24292343/80767*c_1100_2^5 + 5192436/80767*c_1100_2^4 - 17773972/80767*c_1100_2^3 - 939362/80767*c_1100_2^2 + 4889848/80767*c_1100_2 - 1076024/80767, c_1100_2^11 - 8*c_1100_2^10 + 7*c_1100_2^9 + 75*c_1100_2^8 + 7*c_1100_2^7 - 144*c_1100_2^6 - 21*c_1100_2^5 + 102*c_1100_2^4 - 8*c_1100_2^3 - 27*c_1100_2^2 + 10*c_1100_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB