Magma V2.19-8 Tue Aug 20 2013 16:15:59 on localhost [Seed = 1259001715] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0236 geometric_solution 4.22590613 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 1 -1 0 -1 0 0 1 -1 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 -1 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 0.672483610627 0.636502883012 3 2 2 0 0132 3012 1230 0132 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 -1 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 1.215643757896 0.742389853847 1 3 0 1 1230 3201 0132 3012 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 -1 1 0 0 -1 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 1.215643757896 0.742389853847 1 4 2 4 0132 0132 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 1.148950564271 0.511024740926 5 3 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799625891913 0.223026536876 4 6 4 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771292203469 0.087993889502 6 5 6 5 2031 0132 1302 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 0.670151740414 0.040748131178 ==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' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : negation(d['c_0011_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), '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_1']), 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2113843/121187*c_0110_6^10 - 663727/121187*c_0110_6^9 - 301688/11017*c_0110_6^8 - 3390009/121187*c_0110_6^7 + 52468655/121187*c_0110_6^6 - 75734203/121187*c_0110_6^5 + 75438098/121187*c_0110_6^4 - 55618214/121187*c_0110_6^3 - 6505025/121187*c_0110_6^2 + 17284116/121187*c_0110_6 + 4149848/121187, c_0011_0 - 1, c_0011_1 + 218731/121187*c_0110_6^10 + 179624/121187*c_0110_6^9 + 38483/11017*c_0110_6^8 + 623501/121187*c_0110_6^7 - 5057428/121187*c_0110_6^6 + 5430509/121187*c_0110_6^5 - 4494597/121187*c_0110_6^4 + 1866566/121187*c_0110_6^3 + 3256074/121187*c_0110_6^2 - 1840650/121187*c_0110_6 - 792107/121187, c_0101_1 - 328030/121187*c_0110_6^10 - 222754/121187*c_0110_6^9 - 51030/11017*c_0110_6^8 - 756929/121187*c_0110_6^7 + 7887314/121187*c_0110_6^6 - 8918304/121187*c_0110_6^5 + 7431899/121187*c_0110_6^4 - 3921021/121187*c_0110_6^3 - 4666257/121187*c_0110_6^2 + 3080368/121187*c_0110_6 + 1189025/121187, c_0101_2 + 80147/121187*c_0110_6^10 + 67668/121187*c_0110_6^9 + 12503/11017*c_0110_6^8 + 195088/121187*c_0110_6^7 - 1921595/121187*c_0110_6^6 + 1818686/121187*c_0110_6^5 - 1295358/121187*c_0110_6^4 + 534144/121187*c_0110_6^3 + 1403587/121187*c_0110_6^2 - 563107/121187*c_0110_6 - 412333/121187, c_0101_4 + 245346/121187*c_0110_6^10 + 170998/121187*c_0110_6^9 + 38177/11017*c_0110_6^8 + 572578/121187*c_0110_6^7 - 5897220/121187*c_0110_6^6 + 6550755/121187*c_0110_6^5 - 5385618/121187*c_0110_6^4 + 2667545/121187*c_0110_6^3 + 3676922/121187*c_0110_6^2 - 2295591/121187*c_0110_6 - 930860/121187, c_0101_5 - 12479/121187*c_0110_6^10 - 22761/121187*c_0110_6^9 - 4123/11017*c_0110_6^8 - 78214/121187*c_0110_6^7 + 215746/121187*c_0110_6^6 - 93153/121187*c_0110_6^5 + 133409/121187*c_0110_6^4 + 41088/121187*c_0110_6^3 - 162372/121187*c_0110_6^2 + 68549/121187*c_0110_6 - 41040/121187, c_0110_6^11 + c_0110_6^10 + 2*c_0110_6^9 + 3*c_0110_6^8 - 23*c_0110_6^7 + 20*c_0110_6^6 - 15*c_0110_6^5 + 5*c_0110_6^4 + 17*c_0110_6^3 - 5*c_0110_6^2 - 6*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB