Magma V2.19-8 Tue Aug 20 2013 16:17:55 on localhost [Seed = 2017060024] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2150 geometric_solution 5.63069173 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 1 -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 0.348478815159 0.559749206267 0 3 4 2 0132 1230 3012 1230 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 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 0.883060508251 0.758674360988 1 0 2 2 3012 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335117942675 0.552631063052 5 5 1 0 0132 3201 3012 0132 0 0 0 0 0 0 0 0 1 0 0 -1 -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 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 -0.644899243689 0.575959049011 6 1 0 6 0132 1230 0132 1023 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 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 0.917534999016 0.752505082344 3 5 3 5 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 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 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197716473344 1.323017188117 4 6 6 4 0132 3201 2310 1023 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 1.336867271692 0.319285178039 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0110_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_0011_4, c_0101_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 27*c_0110_2^2 + 9*c_0110_2 - 18, c_0011_0 - 1, c_0011_3 - c_0110_2, c_0011_4 + 3*c_0110_2^2 + c_0110_2 - 2, c_0101_1 - 1, c_0101_2 + 3*c_0110_2^2 + 2*c_0110_2 - 2, c_0101_6 + 3*c_0110_2^2 + 2*c_0110_2 - 2, c_0110_2^3 - c_0110_2 + 1/3 ], 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_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4590*c_0110_2^8 - 2961*c_0110_2^7 + 39492*c_0110_2^6 + 11799*c_0110_2^5 - 75774*c_0110_2^4 + 5685*c_0110_2^3 + 37185*c_0110_2^2 - 16956*c_0110_2 + 2145, c_0011_0 - 1, c_0011_3 - c_0110_2, c_0011_4 + 3*c_0110_2^8 - 27*c_0110_2^6 + 9*c_0110_2^5 + 54*c_0110_2^4 - 36*c_0110_2^3 - 21*c_0110_2^2 + 28*c_0110_2 - 8, c_0101_1 + 648*c_0110_2^8 + 225*c_0110_2^7 - 5754*c_0110_2^6 - 54*c_0110_2^5 + 11646*c_0110_2^4 - 3732*c_0110_2^3 - 5832*c_0110_2^2 + 3807*c_0110_2 - 622, c_0101_2 + 192*c_0110_2^8 + 57*c_0110_2^7 - 1713*c_0110_2^6 + 66*c_0110_2^5 + 3492*c_0110_2^4 - 1260*c_0110_2^3 - 1749*c_0110_2^2 + 1205*c_0110_2 - 203, c_0101_6 - 213*c_0110_2^8 - 60*c_0110_2^7 + 1902*c_0110_2^6 - 102*c_0110_2^5 - 3879*c_0110_2^4 + 1458*c_0110_2^3 + 1932*c_0110_2^2 - 1372*c_0110_2 + 238, c_0110_2^9 - 9*c_0110_2^7 + 3*c_0110_2^6 + 18*c_0110_2^5 - 12*c_0110_2^4 - 7*c_0110_2^3 + 9*c_0110_2^2 - 3*c_0110_2 + 1/3 ], 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_1, c_0101_2, c_0101_6, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 4/3*c_0110_2^17 - 56/3*c_0110_2^16 - 105*c_0110_2^15 - 907/3*c_0110_2^14 - 434*c_0110_2^13 - 132*c_0110_2^12 + 1396/3*c_0110_2^11 + 504*c_0110_2^10 - 476/3*c_0110_2^9 - 1222/3*c_0110_2^8 + 203/3*c_0110_2^7 + 733/3*c_0110_2^6 - 83/3*c_0110_2^5 - 182/3*c_0110_2^4 + 143/3*c_0110_2^3 + 41/3*c_0110_2^2 - 22/3*c_0110_2 + 7, c_0011_0 - 1, c_0011_3 + c_0110_2 + 1, c_0011_4 + 4*c_0110_2^17 + 32*c_0110_2^16 + 95*c_0110_2^15 + 105*c_0110_2^14 - 41*c_0110_2^13 - 155*c_0110_2^12 + 7*c_0110_2^11 + 145*c_0110_2^10 - 25*c_0110_2^9 - 101*c_0110_2^8 + 47*c_0110_2^7 + 33*c_0110_2^6 - 45*c_0110_2^5 + 5*c_0110_2^4 + 11*c_0110_2^3 - 11*c_0110_2^2 + 2*c_0110_2, c_0101_1 - 20*c_0110_2^15 - 140*c_0110_2^14 - 335*c_0110_2^13 - 190*c_0110_2^12 + 403*c_0110_2^11 + 420*c_0110_2^10 - 369*c_0110_2^9 - 366*c_0110_2^8 + 339*c_0110_2^7 + 146*c_0110_2^6 - 218*c_0110_2^5 + 42*c_0110_2^4 + 70*c_0110_2^3 - 42*c_0110_2^2 + 14*c_0110_2, c_0101_2 - 8*c_0110_2^14 - 56*c_0110_2^13 - 134*c_0110_2^12 - 76*c_0110_2^11 + 162*c_0110_2^10 + 172*c_0110_2^9 - 143*c_0110_2^8 - 152*c_0110_2^7 + 124*c_0110_2^6 + 60*c_0110_2^5 - 80*c_0110_2^4 + 14*c_0110_2^3 + 26*c_0110_2^2 - 15*c_0110_2 + 5, c_0101_6 - 12*c_0110_2^17 - 96*c_0110_2^16 - 277*c_0110_2^15 - 259*c_0110_2^14 + 261*c_0110_2^13 + 565*c_0110_2^12 - 136*c_0110_2^11 - 592*c_0110_2^10 + 167*c_0110_2^9 + 425*c_0110_2^8 - 230*c_0110_2^7 - 150*c_0110_2^6 + 193*c_0110_2^5 - 21*c_0110_2^4 - 56*c_0110_2^3 + 38*c_0110_2^2 - 10*c_0110_2, c_0110_2^18 + 9*c_0110_2^17 + 127/4*c_0110_2^16 + 50*c_0110_2^15 + 16*c_0110_2^14 - 49*c_0110_2^13 - 37*c_0110_2^12 + 38*c_0110_2^11 + 30*c_0110_2^10 - 63/2*c_0110_2^9 - 27/2*c_0110_2^8 + 20*c_0110_2^7 - 3*c_0110_2^6 - 10*c_0110_2^5 + 4*c_0110_2^4 - 2*c_0110_2^2 + 3/4*c_0110_2 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.240 seconds, Total memory usage: 32.09MB