Magma V2.19-8 Tue Aug 20 2013 16:17:45 on localhost [Seed = 2715827520] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1980 geometric_solution 5.55020317 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 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 1 -1 0 0 1 -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 0.814695652443 0.256198198692 0 2 2 4 0132 2031 1230 0132 0 0 0 0 0 -1 0 1 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 1 0 0 1 -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 0.645732846283 0.395775570310 1 0 5 1 1302 0132 0132 3012 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.645732846283 0.395775570310 4 0 5 0 0132 2310 2310 0132 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 1 0 -1 0 0 1 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.667575913823 0.354283022142 3 6 1 5 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 -1 1 0 0 1 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.255627476065 1.402745569895 6 3 4 2 2310 3201 0132 0132 0 0 0 0 0 1 -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 1 -1 0 -1 0 1 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 1.255627476065 1.402745569895 6 4 5 6 3201 0132 3201 2310 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.068254958285 0.757457456985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0110_2'], 'c_1100_4' : d['c_0110_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : 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_0101_3']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], '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_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_2']})} 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_0101_0, c_0101_1, c_0101_3, c_0110_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 2579/160*c_1001_2^10 + 12677/80*c_1001_2^9 + 668*c_1001_2^8 + 15153/10*c_1001_2^7 + 14101/8*c_1001_2^6 + 6837/20*c_1001_2^5 - 137369/80*c_1001_2^4 - 152597/80*c_1001_2^3 - 55707/160*c_1001_2^2 + 38709/80*c_1001_2 + 7453/40, c_0011_0 - 1, c_0011_3 - 11/80*c_1001_2^10 - 71/80*c_1001_2^9 - 31/16*c_1001_2^8 - 27/80*c_1001_2^7 + 93/16*c_1001_2^6 + 721/80*c_1001_2^5 + 67/80*c_1001_2^4 - 679/80*c_1001_2^3 - 49/10*c_1001_2^2 + 3/5*c_1001_2 + 9/10, c_0101_0 + c_1001_2, c_0101_1 - 3/80*c_1001_2^10 - 33/80*c_1001_2^9 - 29/16*c_1001_2^8 - 321/80*c_1001_2^7 - 65/16*c_1001_2^6 + 83/80*c_1001_2^5 + 581/80*c_1001_2^4 + 503/80*c_1001_2^3 - 3/40*c_1001_2^2 - 59/20*c_1001_2 - 4/5, c_0101_3 - 37/80*c_1001_2^10 - 287/80*c_1001_2^9 - 171/16*c_1001_2^8 - 999/80*c_1001_2^7 + 105/16*c_1001_2^6 + 2597/80*c_1001_2^5 + 1699/80*c_1001_2^4 - 1423/80*c_1001_2^3 - 837/40*c_1001_2^2 + 49/20*c_1001_2 + 19/5, c_0110_2 - 21/80*c_1001_2^10 - 171/80*c_1001_2^9 - 111/16*c_1001_2^8 - 787/80*c_1001_2^7 + 5/16*c_1001_2^6 + 1561/80*c_1001_2^5 + 1567/80*c_1001_2^4 - 419/80*c_1001_2^3 - 631/40*c_1001_2^2 - 43/20*c_1001_2 + 17/5, c_1001_2^11 + 9*c_1001_2^10 + 33*c_1001_2^9 + 57*c_1001_2^8 + 21*c_1001_2^7 - 91*c_1001_2^6 - 145*c_1001_2^5 - 27*c_1001_2^4 + 104*c_1001_2^3 + 68*c_1001_2^2 - 16*c_1001_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB