Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 408519965] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3464 geometric_solution 6.67068893 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1230 0132 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 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 -0.090161186066 0.917796647996 0 4 3 5 0132 0132 2031 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 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 0.373394756006 0.851387255288 3 0 6 0 0132 0132 0132 3012 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 0 0 1 0 0 -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 0.535093051879 1.078760961878 2 4 0 1 0132 1023 0132 1302 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 -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 0.264059613931 0.759793837973 3 1 6 6 1023 0132 0213 2310 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 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 0.535093051879 1.078760961878 6 5 1 5 2031 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447931732918 0.629835091625 4 4 5 2 3201 0213 1302 0132 0 0 0 0 0 0 0 0 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 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 0.532591281134 0.394234985905 ==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_0101_0'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0011_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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 989/769*c_0110_5^15 + 11625/1538*c_0110_5^13 - 291/769*c_0110_5^11 - 29350/769*c_0110_5^9 + 28741/1538*c_0110_5^7 + 23303/769*c_0110_5^5 - 36351/1538*c_0110_5^3 + 5568/769*c_0110_5, c_0011_0 - 1, c_0011_5 + 242/769*c_0110_5^14 + 1203/769*c_0110_5^12 - 1166/769*c_0110_5^10 - 6139/769*c_0110_5^8 + 8925/769*c_0110_5^6 - 2589/769*c_0110_5^4 - 422/769*c_0110_5^2 - 181/769, c_0011_6 + 20/769*c_0110_5^15 + 74/769*c_0110_5^13 - 376/769*c_0110_5^11 - 1270/769*c_0110_5^9 + 1621/769*c_0110_5^7 + 3237/769*c_0110_5^5 - 3435/769*c_0110_5^3 - 123/769*c_0110_5, c_0101_0 - 10/769*c_0110_5^14 - 37/769*c_0110_5^12 + 188/769*c_0110_5^10 + 635/769*c_0110_5^8 - 426/769*c_0110_5^6 - 465/769*c_0110_5^4 - 205/769*c_0110_5^2 - 323/769, c_0101_1 + 899/1538*c_0110_5^15 + 2163/769*c_0110_5^13 - 2760/769*c_0110_5^11 - 25173/1538*c_0110_5^9 + 18149/769*c_0110_5^7 - 107/1538*c_0110_5^5 - 4435/769*c_0110_5^3 - 1361/769*c_0110_5, c_0101_2 - 136/769*c_0110_5^14 - 657/769*c_0110_5^12 + 865/769*c_0110_5^10 + 4022/769*c_0110_5^8 - 5486/769*c_0110_5^6 - 941/769*c_0110_5^4 + 1057/769*c_0110_5^2 + 1144/769, c_0110_5^16 + 4*c_0110_5^14 - 10*c_0110_5^12 - 23*c_0110_5^10 + 62*c_0110_5^8 - 33*c_0110_5^6 - 4*c_0110_5^4 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB