Magma V2.19-8 Tue Aug 20 2013 16:16:11 on localhost [Seed = 4273955386] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0454 geometric_solution 4.49420703 oriented_manifold CS_known -0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1302 2031 0132 2310 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 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 6.308458449301 1.252103817102 0 2 2 0 3201 0132 3201 0132 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.256916535809 0.090699860059 1 1 3 3 2310 0132 0132 2310 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 0 1 -1 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 1.855132107230 0.972446195947 2 4 5 2 3201 0132 0132 0132 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921267334858 0.348292275327 5 3 5 6 2103 0132 1302 0132 0 0 0 0 0 1 0 -1 -1 0 1 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 1 0 -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 0.600639722310 0.635213030398 4 6 4 3 2031 1023 2103 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600639722310 0.635213030398 5 6 4 6 1023 2310 0132 3201 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 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 0.214093583296 0.831143825526 ==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' : 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_5']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_5']), '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_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], '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_5'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_5'], '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_0011_3']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_6'], '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_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), '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_5, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 111359453930/671576883*c_0110_6^14 - 361675378534/671576883*c_0110_6^13 - 452411811908/223858961*c_0110_6^12 - 396768770/223858961*c_0110_6^11 + 1775017828016/671576883*c_0110_6^10 + 376005797559/223858961*c_0110_6^9 - 709414073798/671576883*c_0110_6^8 - 236363339815/223858961*c_0110_6^7 + 2613199013660/671576883*c_0110_6^6 + 792674071084/671576883*c_0110_6^5 - 2185754026370/671576883*c_0110_6^4 - 1252187228827/671576883*c_0110_6^3 + 170868193739/223858961*c_0110_6^2 + 286877821667/223858961*c_0110_6 - 426294283123/671576883, c_0011_0 - 1, c_0011_1 - 36273067/671576883*c_0110_6^14 + 66880805/671576883*c_0110_6^13 + 196683193/223858961*c_0110_6^12 + 206245695/223858961*c_0110_6^11 - 176309449/671576883*c_0110_6^10 - 172143089/223858961*c_0110_6^9 - 223128983/671576883*c_0110_6^8 - 45645746/223858961*c_0110_6^7 - 1718476168/671576883*c_0110_6^6 - 1272483350/671576883*c_0110_6^5 + 171509782/671576883*c_0110_6^4 + 197822684/671576883*c_0110_6^3 + 83181683/223858961*c_0110_6^2 - 20154170/223858961*c_0110_6 + 533667665/671576883, c_0011_3 - 103647829/671576883*c_0110_6^14 + 298468802/671576883*c_0110_6^13 + 447478451/223858961*c_0110_6^12 + 187353200/223858961*c_0110_6^11 - 962895385/671576883*c_0110_6^10 - 338584243/223858961*c_0110_6^9 - 182982713/671576883*c_0110_6^8 - 44683598/223858961*c_0110_6^7 - 2344833469/671576883*c_0110_6^6 - 1051282493/671576883*c_0110_6^5 + 694180282/671576883*c_0110_6^4 + 45663128/671576883*c_0110_6^3 + 24921259/223858961*c_0110_6^2 + 120376705/223858961*c_0110_6 + 189544382/671576883, c_0011_5 + 248787979/671576883*c_0101_1*c_0110_6^14 - 588966479/671576883*c_0101_1*c_0110_6^13 - 1164502421/223858961*c_0101_1*c_0110_6^12 - 1141882610/223858961*c_0101_1*c_0110_6^11 + 804415633/671576883*c_0101_1*c_0110_6^10 + 1674401054/223858961*c_0101_1*c_0110_6^9 + 3625663607/671576883*c_0101_1*c_0110_6^8 + 146094628/223858961*c_0101_1*c_0110_6^7 + 4658405836/671576883*c_0101_1*c_0110_6^6 + 6034170245/671576883*c_0101_1*c_0110_6^5 + 2063218697/671576883*c_0101_1*c_0110_6^4 - 4322795357/671576883*c_0101_1*c_0110_6^3 - 1342355258/223858961*c_0101_1*c_0110_6^2 - 211915383/223858961*c_0101_1*c_0110_6 - 235175489/671576883*c_0101_1, c_0101_1^2 - 36273067/671576883*c_0110_6^14 + 66880805/671576883*c_0110_6^13 + 196683193/223858961*c_0110_6^12 + 206245695/223858961*c_0110_6^11 - 176309449/671576883*c_0110_6^10 - 172143089/223858961*c_0110_6^9 - 223128983/671576883*c_0110_6^8 - 45645746/223858961*c_0110_6^7 - 1718476168/671576883*c_0110_6^6 - 1272483350/671576883*c_0110_6^5 + 171509782/671576883*c_0110_6^4 + 197822684/671576883*c_0110_6^3 + 83181683/223858961*c_0110_6^2 - 20154170/223858961*c_0110_6 - 137909218/671576883, c_0101_2 - 139083040/671576883*c_0110_6^14 + 435803060/671576883*c_0110_6^13 + 550138592/223858961*c_0110_6^12 + 148574243/223858961*c_0110_6^11 - 877398184/671576883*c_0110_6^10 - 253679210/223858961*c_0110_6^9 - 442898174/671576883*c_0110_6^8 - 226131375/223858961*c_0110_6^7 - 3175878397/671576883*c_0110_6^6 - 1466455796/671576883*c_0110_6^5 + 613177090/671576883*c_0110_6^4 + 151076063/671576883*c_0110_6^3 + 83615261/223858961*c_0110_6^2 + 20395364/223858961*c_0110_6 + 362547986/671576883, c_0110_6^15 - 3*c_0110_6^14 - 13*c_0110_6^13 - 3*c_0110_6^12 + 16*c_0110_6^11 + 14*c_0110_6^10 - 4*c_0110_6^9 - 8*c_0110_6^8 + 22*c_0110_6^7 + 13*c_0110_6^6 - 18*c_0110_6^5 - 16*c_0110_6^4 + 2*c_0110_6^3 + 9*c_0110_6^2 - 2*c_0110_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB