Magma V2.19-8 Tue Aug 20 2013 16:17:31 on localhost [Seed = 4299995] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1752 geometric_solution 5.44376443 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 -1 0 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 0.241226155261 0.310057730330 2 0 3 0 0132 2310 0132 0132 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.195677650405 1.699053005519 1 3 4 5 0132 3201 0132 0132 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 1 0 -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 -0.121149098861 0.758325213999 5 4 2 1 3201 3201 2310 0132 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.121149098861 0.758325213999 4 4 3 2 1230 3012 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 -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 0.089263832018 0.845668634046 6 6 2 3 0132 2310 0132 2310 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 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 0.418947549298 1.949549631676 5 6 6 5 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.550841413840 0.445043899807 ==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' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_0011_5, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 10564557895949/71674517124*c_0101_3^12 + 14290008286579/35837258562*c_0101_3^11 - 3704766257474/5972876427*c_0101_3^10 - 22212327029150/5972876427*c_0101_3^9 + 417935993857999/71674517124*c_0101_3^8 - 29182619398405/35837258562*c_0101_3^7 - 1494607200263627/71674517124*c_0101_3^6 - 25200291573547/7963835236*c_0101_3^5 + 1840414635124/293748021*c_0101_3^4 + 24575482278865/10239216732*c_0101_3^3 + 370163965268099/71674517124*c_0101_3^2 + 77401053670291/71674517124*c_0101_3 - 18460304144081/35837258562, c_0011_0 - 1, c_0011_1 - 151293794/853268061*c_0101_3^12 + 483322196/853268061*c_0101_3^11 - 295539742/284422687*c_0101_3^10 - 1112823762/284422687*c_0101_3^9 + 7521821224/853268061*c_0101_3^8 - 4762395758/853268061*c_0101_3^7 - 18427524386/853268061*c_0101_3^6 + 1666392066/284422687*c_0101_3^5 + 3004931521/853268061*c_0101_3^4 + 1531405303/853268061*c_0101_3^3 + 3508131293/853268061*c_0101_3^2 - 235218839/853268061*c_0101_3 + 190480493/853268061, c_0011_3 + 53763700/284422687*c_0101_3^12 - 269839763/568845374*c_0101_3^11 + 189100757/284422687*c_0101_3^10 + 1431679250/284422687*c_0101_3^9 - 1925248737/284422687*c_0101_3^8 - 565275369/568845374*c_0101_3^7 + 8143114227/284422687*c_0101_3^6 + 4304659461/568845374*c_0101_3^5 - 5727302945/568845374*c_0101_3^4 - 849336260/284422687*c_0101_3^3 - 4909222363/568845374*c_0101_3^2 - 1189992805/568845374*c_0101_3 + 841343323/568845374, c_0011_4 + 506403959/1706536122*c_0101_3^12 - 691005211/853268061*c_0101_3^11 + 354114215/284422687*c_0101_3^10 + 2142982649/284422687*c_0101_3^9 - 20606287201/1706536122*c_0101_3^8 + 1247574625/853268061*c_0101_3^7 + 73629786005/1706536122*c_0101_3^6 + 2350387077/568845374*c_0101_3^5 - 12844911626/853268061*c_0101_3^4 - 5673013003/1706536122*c_0101_3^3 - 20087977931/1706536122*c_0101_3^2 - 2852444293/1706536122*c_0101_3 + 1327555754/853268061, c_0011_5 + 7365691/284422687*c_0101_3^12 - 68866067/568845374*c_0101_3^11 + 87698044/284422687*c_0101_3^10 + 68769534/284422687*c_0101_3^9 - 552558339/284422687*c_0101_3^8 + 1977822027/568845374*c_0101_3^7 + 110034924/284422687*c_0101_3^6 - 2626426021/568845374*c_0101_3^5 + 2709859559/568845374*c_0101_3^4 + 60102000/284422687*c_0101_3^3 - 281534827/568845374*c_0101_3^2 + 508926755/568845374*c_0101_3 - 297835451/568845374, c_0101_1 + 1026990/4662667*c_0101_3^12 - 175820848/284422687*c_0101_3^11 + 4510098/4662667*c_0101_3^10 + 1580023002/284422687*c_0101_3^9 - 2700767883/284422687*c_0101_3^8 + 532489508/284422687*c_0101_3^7 + 9252623105/284422687*c_0101_3^6 - 169213306/284422687*c_0101_3^5 - 3061177978/284422687*c_0101_3^4 + 165670051/284422687*c_0101_3^3 - 36309152/4662667*c_0101_3^2 - 136321001/284422687*c_0101_3 + 262791021/284422687, c_0101_3^13 - 3*c_0101_3^12 + 5*c_0101_3^11 + 24*c_0101_3^10 - 47*c_0101_3^9 + 17*c_0101_3^8 + 140*c_0101_3^7 - 20*c_0101_3^6 - 50*c_0101_3^5 - 4*c_0101_3^4 - 30*c_0101_3^3 + 3*c_0101_3^2 + 6*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB