Magma V2.19-8 Tue Aug 20 2013 16:16:20 on localhost [Seed = 4300005] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0609 geometric_solution 4.61525642 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 3201 0 0 0 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.080874698406 2.852841200600 0 3 4 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 -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 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395904193778 0.227313046098 5 0 5 0 0132 2310 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.750744416569 0.707834035454 6 1 4 4 0132 0132 3201 2031 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352171047639 0.768374846750 3 3 6 1 2310 1302 0132 0132 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 0 0 0.352171047639 0.768374846750 2 5 2 5 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420481559121 0.046967172200 3 6 6 4 0132 1230 3012 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 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.507056210086 1.075516035662 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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_0']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(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' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 27 Groebner basis: [ t + 1327/16*c_0101_6^26 + 445/8*c_0101_6^25 - 29579/16*c_0101_6^24 - 19075/16*c_0101_6^23 + 284089/16*c_0101_6^22 + 179403/16*c_0101_6^21 - 385385/4*c_0101_6^20 - 983417/16*c_0101_6^19 + 647589/2*c_0101_6^18 + 879313/4*c_0101_6^17 - 10959663/16*c_0101_6^16 - 8687033/16*c_0101_6^15 + 1687257/2*c_0101_6^14 + 15238119/16*c_0101_6^13 - 342451*c_0101_6^12 - 19131219/16*c_0101_6^11 - 5204789/8*c_0101_6^10 + 4246085/4*c_0101_6^9 + 9890069/8*c_0101_6^8 - 2566055/4*c_0101_6^7 - 15132915/16*c_0101_6^6 + 1946349/8*c_0101_6^5 + 5581355/16*c_0101_6^4 - 779215/16*c_0101_6^3 - 100449/2*c_0101_6^2 + 52371/16*c_0101_6 + 35787/16, c_0011_0 - 1, c_0011_2 - 5*c_0101_6^26 + c_0101_6^25 + 119*c_0101_6^24 - 29*c_0101_6^23 - 1241*c_0101_6^22 + 352*c_0101_6^21 + 7495*c_0101_6^20 - 2395*c_0101_6^19 - 29173*c_0101_6^18 + 10254*c_0101_6^17 + 76911*c_0101_6^16 - 29215*c_0101_6^15 - 140008*c_0101_6^14 + 56734*c_0101_6^13 + 175217*c_0101_6^12 - 75064*c_0101_6^11 - 146172*c_0101_6^10 + 65900*c_0101_6^9 + 75582*c_0101_6^8 - 35970*c_0101_6^7 - 20528*c_0101_6^6 + 10585*c_0101_6^5 + 1790*c_0101_6^4 - 1179*c_0101_6^3 - 5*c_0101_6^2 + 33*c_0101_6 - 1, c_0011_4 - c_0101_6^25 + 23*c_0101_6^23 - c_0101_6^22 - 231*c_0101_6^21 + 19*c_0101_6^20 + 1340*c_0101_6^19 - 155*c_0101_6^18 - 5002*c_0101_6^17 + 718*c_0101_6^16 + 12645*c_0101_6^15 - 2099*c_0101_6^14 - 22104*c_0101_6^13 + 4049*c_0101_6^12 + 26662*c_0101_6^11 - 5201*c_0101_6^10 - 21612*c_0101_6^9 + 4350*c_0101_6^8 + 11066*c_0101_6^7 - 2220*c_0101_6^6 - 3143*c_0101_6^5 + 596*c_0101_6^4 + 369*c_0101_6^3 - 57*c_0101_6^2 - 13*c_0101_6 + 1, c_0101_0 + c_0101_6^25 - 24*c_0101_6^23 + c_0101_6^22 + 253*c_0101_6^21 - 20*c_0101_6^20 - 1549*c_0101_6^19 + 173*c_0101_6^18 + 6133*c_0101_6^17 - 855*c_0101_6^16 - 16516*c_0101_6^15 + 2680*c_0101_6^14 + 30878*c_0101_6^13 - 5567*c_0101_6^12 - 39992*c_0101_6^11 + 7732*c_0101_6^10 + 34944*c_0101_6^9 - 7020*c_0101_6^8 - 19346*c_0101_6^7 + 3900*c_0101_6^6 + 5929*c_0101_6^5 - 1136*c_0101_6^4 - 725*c_0101_6^3 + 113*c_0101_6^2 + 21*c_0101_6 - 2, c_0101_1 + c_0101_6^2 - 1, c_0101_2 + 28*c_0101_6^26 - 31*c_0101_6^25 - 661*c_0101_6^24 + 760*c_0101_6^23 + 6805*c_0101_6^22 - 8120*c_0101_6^21 - 40342*c_0101_6^20 + 49986*c_0101_6^19 + 153075*c_0101_6^18 - 197440*c_0101_6^17 - 389967*c_0101_6^16 + 526461*c_0101_6^15 + 677501*c_0101_6^14 - 967392*c_0101_6^13 - 793064*c_0101_6^12 + 1222166*c_0101_6^11 + 595078*c_0101_6^10 - 1033213*c_0101_6^9 - 250152*c_0101_6^8 + 548416*c_0101_6^7 + 33454*c_0101_6^6 - 159584*c_0101_6^5 + 10196*c_0101_6^4 + 18504*c_0101_6^3 - 1924*c_0101_6^2 - 592*c_0101_6 + 43, c_0101_6^27 - 25*c_0101_6^25 + c_0101_6^24 + 277*c_0101_6^23 - 21*c_0101_6^22 - 1802*c_0101_6^21 + 193*c_0101_6^20 + 7682*c_0101_6^19 - 1028*c_0101_6^18 - 22649*c_0101_6^17 + 3535*c_0101_6^16 + 47394*c_0101_6^15 - 8247*c_0101_6^14 - 70870*c_0101_6^13 + 13299*c_0101_6^12 + 74936*c_0101_6^11 - 14752*c_0101_6^10 - 54290*c_0101_6^9 + 10920*c_0101_6^8 + 25275*c_0101_6^7 - 5036*c_0101_6^6 - 6655*c_0101_6^5 + 1249*c_0101_6^4 + 750*c_0101_6^3 - 115*c_0101_6^2 - 25*c_0101_6 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB