Magma V2.19-8 Tue Aug 20 2013 16:16:05 on localhost [Seed = 2378961218] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0339 geometric_solution 4.36442933 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 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 -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 -0.493593299265 0.931572408932 0 3 5 4 0132 3201 0132 0132 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 1 0 0 -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 1.227016744650 1.577354580635 6 0 6 0 0132 0132 1023 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 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 0.612131057885 0.082639828780 5 4 1 0 2103 2031 2310 0132 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 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 1.227016744650 1.577354580635 3 5 1 5 1302 3012 0132 0321 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 1 0 -1 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420036658342 0.429908110001 4 4 3 1 1230 0321 2103 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 -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 1.112792230259 0.824876970959 2 6 2 6 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767822821584 0.030485567912 ==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' : negation(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_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_0011_3'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : d['c_0101_6']})} 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_0011_5, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 106027844/2806205*c_0101_6^13 - 51219746/2806205*c_0101_6^12 + 1018441927/2806205*c_0101_6^11 + 84423860/561241*c_0101_6^10 - 3924903807/2806205*c_0101_6^9 - 1421800144/2806205*c_0101_6^8 + 7484714792/2806205*c_0101_6^7 + 2340674224/2806205*c_0101_6^6 - 1431011053/561241*c_0101_6^5 - 367914509/561241*c_0101_6^4 + 3211807831/2806205*c_0101_6^3 + 653437028/2806205*c_0101_6^2 - 716533153/2806205*c_0101_6 - 179069432/2806205, c_0011_0 - 1, c_0011_3 + 97792/29539*c_0101_6^13 - 2572/29539*c_0101_6^12 - 869270/29539*c_0101_6^11 - 2975/29539*c_0101_6^10 + 3100130/29539*c_0101_6^9 + 185180/29539*c_0101_6^8 - 5509404/29539*c_0101_6^7 - 665448/29539*c_0101_6^6 + 5024116/29539*c_0101_6^5 + 816588/29539*c_0101_6^4 - 2235220/29539*c_0101_6^3 - 374834/29539*c_0101_6^2 + 463568/29539*c_0101_6 + 127471/29539, c_0011_4 + 16244/29539*c_0101_6^13 - 30754/29539*c_0101_6^12 - 118901/29539*c_0101_6^11 + 253179/29539*c_0101_6^10 + 326086/29539*c_0101_6^9 - 809212/29539*c_0101_6^8 - 387971/29539*c_0101_6^7 + 1260814/29539*c_0101_6^6 + 129460/29539*c_0101_6^5 - 986594/29539*c_0101_6^4 + 139435/29539*c_0101_6^3 + 365451/29539*c_0101_6^2 - 101991/29539*c_0101_6 - 58571/29539, c_0011_5 + 125612/29539*c_0101_6^13 - 26758/29539*c_0101_6^12 - 1186419/29539*c_0101_6^11 + 259409/29539*c_0101_6^10 + 4417699/29539*c_0101_6^9 - 858171/29539*c_0101_6^8 - 7994683/29539*c_0101_6^7 + 1189206/29539*c_0101_6^6 + 7045763/29539*c_0101_6^5 - 632023/29539*c_0101_6^4 - 2793863/29539*c_0101_6^3 + 47724/29539*c_0101_6^2 + 580037/29539*c_0101_6 + 113057/29539, c_0101_2 + 16448/29539*c_0101_6^13 + 8924/29539*c_0101_6^12 - 143074/29539*c_0101_6^11 - 102321/29539*c_0101_6^10 + 517904/29539*c_0101_6^9 + 450337/29539*c_0101_6^8 - 974822/29539*c_0101_6^7 - 924324/29539*c_0101_6^6 + 993725/29539*c_0101_6^5 + 888115/29539*c_0101_6^4 - 548467/29539*c_0101_6^3 - 367598/29539*c_0101_6^2 + 177876/29539*c_0101_6 + 78256/29539, c_0101_3 - 125612/29539*c_0101_6^13 + 26758/29539*c_0101_6^12 + 1186419/29539*c_0101_6^11 - 259409/29539*c_0101_6^10 - 4417699/29539*c_0101_6^9 + 858171/29539*c_0101_6^8 + 7994683/29539*c_0101_6^7 - 1189206/29539*c_0101_6^6 - 7045763/29539*c_0101_6^5 + 632023/29539*c_0101_6^4 + 2793863/29539*c_0101_6^3 - 47724/29539*c_0101_6^2 - 580037/29539*c_0101_6 - 113057/29539, c_0101_6^14 + 3/2*c_0101_6^13 - 37/4*c_0101_6^12 - 55/4*c_0101_6^11 + 137/4*c_0101_6^10 + 51*c_0101_6^9 - 247/4*c_0101_6^8 - 187/2*c_0101_6^7 + 215/4*c_0101_6^6 + 85*c_0101_6^5 - 81/4*c_0101_6^4 - 143/4*c_0101_6^3 + 13/4*c_0101_6^2 + 8*c_0101_6 + 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB