Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 1090575759] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0320 geometric_solution 4.35345050 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 1 0 -1 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 -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 0.575044214132 0.655439445632 2 3 2 0 1023 0132 1230 0132 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 -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 0.178513659156 1.181989486067 3 1 0 1 3201 1023 0132 3012 0 0 0 0 0 0 1 -1 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 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 0 0 0 0 0 0 0.178513659156 1.181989486067 4 1 4 2 0132 0132 2310 2310 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 0 0 0 0.142483094420 1.590119572735 3 3 5 5 0132 3201 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.243724777151 0.126428812647 4 6 4 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.220202102888 0.908809541423 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.324482534117 0.023276253810 ==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_0101_2']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0110_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_2']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_2']), '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_5, c_0101_2, c_0101_3, c_0110_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 2926517237629593/166806005264063*c_0110_6^14 - 1672586971472555/166806005264063*c_0110_6^13 + 35721179053111219/166806005264063*c_0110_6^12 + 31300844752751344/166806005264063*c_0110_6^11 - 158594123157720410/166806005264063*c_0110_6^10 - 113554631331343881/166806005264063*c_0110_6^9 + 312172344055568954/166806005264063*c_0110_6^8 + 8830596637291883/166806005264063*c_0110_6^7 - 228813407832667721/166806005264063*c_0110_6^6 - 5462006728682949/15164182296733*c_0110_6^5 + 294080515345002585/166806005264063*c_0110_6^4 - 186524348619311261/166806005264063*c_0110_6^3 + 8396977395973049/166806005264063*c_0110_6^2 + 39813565246747726/166806005264063*c_0110_6 - 9276428772550233/166806005264063, c_0011_0 - 1, c_0011_1 + 283078223047/659312273771*c_0110_6^14 + 271073345859/659312273771*c_0110_6^13 - 3422209510770/659312273771*c_0110_6^12 - 4445586490747/659312273771*c_0110_6^11 + 14433251165541/659312273771*c_0110_6^10 + 17970614823736/659312273771*c_0110_6^9 - 26152984850991/659312273771*c_0110_6^8 - 16234376776355/659312273771*c_0110_6^7 + 19800272615256/659312273771*c_0110_6^6 + 17688146388252/659312273771*c_0110_6^5 - 24589807033372/659312273771*c_0110_6^4 + 3860079244112/659312273771*c_0110_6^3 + 5035511090925/659312273771*c_0110_6^2 - 2691027178712/659312273771*c_0110_6 - 427288039596/659312273771, c_0011_5 + 107449307577/659312273771*c_0110_6^14 + 160916725402/659312273771*c_0110_6^13 - 1258914555095/659312273771*c_0110_6^12 - 2392382947892/659312273771*c_0110_6^11 + 4777551905573/659312273771*c_0110_6^10 + 9907196275969/659312273771*c_0110_6^9 - 7348426994349/659312273771*c_0110_6^8 - 12255667812767/659312273771*c_0110_6^7 + 6759553361991/659312273771*c_0110_6^6 + 11953517846379/659312273771*c_0110_6^5 - 7567968253411/659312273771*c_0110_6^4 - 5177306055256/659312273771*c_0110_6^3 + 4508582138786/659312273771*c_0110_6^2 - 33830639796/659312273771*c_0110_6 - 932821782907/659312273771, c_0101_2 - 152675213515/659312273771*c_0110_6^14 - 193249434017/659312273771*c_0110_6^13 + 1802804801463/659312273771*c_0110_6^12 + 2926111793702/659312273771*c_0110_6^11 - 7151692323119/659312273771*c_0110_6^10 - 11690902897163/659312273771*c_0110_6^9 + 12301023981625/659312273771*c_0110_6^8 + 12139415206711/659312273771*c_0110_6^7 - 11877534911601/659312273771*c_0110_6^6 - 12885356338447/659312273771*c_0110_6^5 + 12731257280571/659312273771*c_0110_6^4 + 2457588051585/659312273771*c_0110_6^3 - 5327278479498/659312273771*c_0110_6^2 + 1132870775832/659312273771*c_0110_6 + 780605556608/659312273771, c_0101_3 + 87740366826/659312273771*c_0110_6^14 + 13748279167/659312273771*c_0110_6^13 - 1133078856745/659312273771*c_0110_6^12 - 537742313512/659312273771*c_0110_6^11 + 5633626730790/659312273771*c_0110_6^10 + 2122916493456/659312273771*c_0110_6^9 - 12735682603850/659312273771*c_0110_6^8 + 899184948510/659312273771*c_0110_6^7 + 10179794620798/659312273771*c_0110_6^6 + 1225411596802/659312273771*c_0110_6^5 - 11631012394425/659312273771*c_0110_6^4 + 6666771455081/659312273771*c_0110_6^3 + 457995093196/659312273771*c_0110_6^2 - 1097570464185/659312273771*c_0110_6 + 426911225227/659312273771, c_0110_2 + 155498260342/659312273771*c_0110_6^14 + 212148807883/659312273771*c_0110_6^13 - 1754568621928/659312273771*c_0110_6^12 - 3096118829426/659312273771*c_0110_6^11 + 6219811834841/659312273771*c_0110_6^10 + 11522732060866/659312273771*c_0110_6^9 - 8040999470824/659312273771*c_0110_6^8 - 8603102111052/659312273771*c_0110_6^7 + 5101210388829/659312273771*c_0110_6^6 + 7464308125734/659312273771*c_0110_6^5 - 8617282502456/659312273771*c_0110_6^4 + 3095803495298/659312273771*c_0110_6^3 + 1508802713313/659312273771*c_0110_6^2 - 2188872190138/659312273771*c_0110_6 - 18701154286/659312273771, c_0110_6^15 + c_0110_6^14 - 12*c_0110_6^13 - 16*c_0110_6^12 + 50*c_0110_6^11 + 63*c_0110_6^10 - 91*c_0110_6^9 - 52*c_0110_6^8 + 77*c_0110_6^7 + 56*c_0110_6^6 - 92*c_0110_6^5 + 18*c_0110_6^4 + 25*c_0110_6^3 - 15*c_0110_6^2 - 3*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB