Magma V2.19-8 Tue Aug 20 2013 16:18:49 on localhost [Seed = 846442319] 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' : negation(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' : negation(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: 20 Groebner basis: [ t + 7862605379/2374700864*c_0101_2*c_0101_4^9 + 45108712759/2374700864*c_0101_2*c_0101_4^8 - 3941529501/124984256*c_0101_2*c_0101_4^7 + 185908042933/1187350432*c_0101_2*c_0101_4^6 + 12105106733/1187350432*c_0101_2*c_0101_4^5 + 351838092761/2374700864*c_0101_2*c_0101_4^4 - 194698146631/593675216*c_0101_2*c_0101_4^3 + 23149335893/148418804*c_0101_2*c_0101_4^2 + 10472274399/74209402*c_0101_2*c_0101_4 + 2131458829/37104701*c_0101_2, c_0011_0 - 1, c_0011_1 + 20579/4674608*c_0101_4^9 + 104627/4674608*c_0101_4^8 - 15337/246032*c_0101_4^7 + 533147/2337304*c_0101_4^6 - 4151/2337304*c_0101_4^5 - 757335/4674608*c_0101_4^4 + 32103/292163*c_0101_4^3 + 97981/584326*c_0101_4^2 + 142165/292163*c_0101_4 - 173721/292163, c_0011_3 + 27163329/1187350432*c_0101_2*c_0101_4^9 + 177308101/1187350432*c_0101_2*c_0101_4^8 - 7257951/62492128*c_0101_2*c_0101_4^7 + 536116913/593675216*c_0101_2*c_0101_4^6 + 581573859/593675216*c_0101_2*c_0101_4^5 + 1163423727/1187350432*c_0101_2*c_0101_4^4 - 51140368/37104701*c_0101_2*c_0101_4^3 - 156917367/296837608*c_0101_2*c_0101_4^2 + 143532871/74209402*c_0101_2*c_0101_4 + 41182713/74209402*c_0101_2, c_0011_4 - 27163329/1187350432*c_0101_2*c_0101_4^9 - 177308101/1187350432*c_0101_2*c_0101_4^8 + 7257951/62492128*c_0101_2*c_0101_4^7 - 536116913/593675216*c_0101_2*c_0101_4^6 - 581573859/593675216*c_0101_2*c_0101_4^5 - 1163423727/1187350432*c_0101_2*c_0101_4^4 + 51140368/37104701*c_0101_2*c_0101_4^3 + 156917367/296837608*c_0101_2*c_0101_4^2 - 143532871/74209402*c_0101_2*c_0101_4 - 41182713/74209402*c_0101_2, c_0101_1 + 1575623/148418804*c_0101_4^9 + 20617505/296837608*c_0101_4^8 - 782757/15623032*c_0101_4^7 + 129210951/296837608*c_0101_4^6 + 63389059/148418804*c_0101_4^5 + 73019761/148418804*c_0101_4^4 - 106184577/296837608*c_0101_4^3 - 84286379/148418804*c_0101_4^2 + 6397288/37104701*c_0101_4 + 18700537/37104701, c_0101_2^2 - 5851185/1187350432*c_0101_4^9 - 38728017/1187350432*c_0101_4^8 + 1384679/62492128*c_0101_4^7 - 111264083/593675216*c_0101_4^6 - 130172145/593675216*c_0101_4^5 - 438818875/1187350432*c_0101_4^4 + 77017787/148418804*c_0101_4^3 - 208530905/296837608*c_0101_4^2 - 28993437/74209402*c_0101_4 - 7805671/74209402, c_0101_4^10 + 6*c_0101_4^9 - 8*c_0101_4^8 + 45*c_0101_4^7 + 16*c_0101_4^6 + 45*c_0101_4^5 - 81*c_0101_4^4 + 20*c_0101_4^3 + 60*c_0101_4^2 + 16*c_0101_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB