Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 155751540] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2975 geometric_solution 6.15595752 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.228926876309 1.303569228794 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.307898429080 0.781114985406 3 1 4 5 2310 0132 0132 0132 0 0 0 0 0 0 0 0 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 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 -0.082014164845 0.736646205809 6 5 2 1 0132 1023 3201 0132 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 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 -0.082014164845 0.736646205809 5 6 6 2 3201 1230 3012 0132 0 0 0 0 0 0 0 0 1 0 0 -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 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 0.518255888598 1.070691094030 3 6 2 4 1023 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 1 -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 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 0.079976520850 0.962725717596 3 4 4 5 0132 1230 3012 3201 0 0 0 0 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 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 0.518255888598 1.070691094030 ==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_3']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_4'], '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_4'], 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], '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' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0101_1'], '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_0011_3, c_0011_4, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 28105111/11120304*c_0101_2*c_0101_4^8 + 21021419/5560152*c_0101_2*c_0101_4^7 + 5424082/695019*c_0101_2*c_0101_4^6 + 142390453/3706768*c_0101_2*c_0101_4^5 - 42431777/695019*c_0101_2*c_0101_4^4 + 1089061307/11120304*c_0101_2*c_0101_4^3 - 810215591/11120304*c_0101_2*c_0101_4^2 - 5862505/695019*c_0101_2*c_0101_4 + 228822277/926692*c_0101_2, c_0011_0 - 1, c_0011_1 + 59/3263*c_0101_4^8 + 489/13052*c_0101_4^7 + 693/13052*c_0101_4^6 + 3563/13052*c_0101_4^5 - 1803/6526*c_0101_4^4 + 2333/6526*c_0101_4^3 + 2583/13052*c_0101_4^2 - 1039/3263*c_0101_4 + 2060/3263, c_0011_3 - 7659/463346*c_0101_2*c_0101_4^8 + 672/231673*c_0101_2*c_0101_4^7 - 18351/926692*c_0101_2*c_0101_4^6 - 43388/231673*c_0101_2*c_0101_4^5 + 725163/926692*c_0101_2*c_0101_4^4 - 1272685/926692*c_0101_2*c_0101_4^3 + 1554795/926692*c_0101_2*c_0101_4^2 - 529559/463346*c_0101_2*c_0101_4 - 90570/231673*c_0101_2, c_0011_4 + 7659/463346*c_0101_2*c_0101_4^8 - 672/231673*c_0101_2*c_0101_4^7 + 18351/926692*c_0101_2*c_0101_4^6 + 43388/231673*c_0101_2*c_0101_4^5 - 725163/926692*c_0101_2*c_0101_4^4 + 1272685/926692*c_0101_2*c_0101_4^3 - 1554795/926692*c_0101_2*c_0101_4^2 + 529559/463346*c_0101_2*c_0101_4 + 90570/231673*c_0101_2, c_0101_1 + 10221/1853384*c_0101_4^8 + 31147/1853384*c_0101_4^7 + 113925/1853384*c_0101_4^6 + 69877/463346*c_0101_4^5 + 17439/926692*c_0101_4^4 + 643167/1853384*c_0101_4^3 - 628501/926692*c_0101_4^2 + 5022/231673*c_0101_4 + 113657/231673, c_0101_2^2 + 2449/463346*c_0101_4^8 - 15651/926692*c_0101_4^7 - 27345/926692*c_0101_4^6 + 21767/926692*c_0101_4^5 - 114208/231673*c_0101_4^4 + 148826/231673*c_0101_4^3 - 1034547/926692*c_0101_4^2 - 39809/463346*c_0101_4 + 7635/231673, c_0101_4^9 + c_0101_4^8 + 3*c_0101_4^7 + 14*c_0101_4^6 - 30*c_0101_4^5 + 59*c_0101_4^4 - 72*c_0101_4^3 + 60*c_0101_4^2 + 32*c_0101_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB