Magma V2.19-8 Tue Aug 20 2013 16:17:34 on localhost [Seed = 3414841108] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1801 geometric_solution 5.47044230 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 1 0 -1 0 0 -1 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 -0.104435953542 1.108802230742 0 5 3 6 0132 0132 0213 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457084996480 1.307218100775 4 0 2 2 1302 0132 2031 1302 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 -1 0 1 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 0.371933781878 0.195967478288 4 1 5 0 0213 0213 3120 0132 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 -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 -0.836617463253 0.343682030656 3 2 0 5 0213 2031 0132 3120 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 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 0 1.084198827948 0.893943561471 4 1 3 6 3120 0132 3120 1023 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 0.457084996480 1.307218100775 6 6 1 5 1302 2031 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532307625148 0.786012632567 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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' : d['1'], 's_1_3' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_6']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0110_6']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_3, c_0011_4, c_0011_6, c_0101_5, c_0110_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 28918967843/770300833*c_0110_6^13 - 209735192749/1540601666*c_0110_6^12 - 45863269808/770300833*c_0110_6^11 - 843505150077/770300833*c_0110_6^10 - 1381454770001/1540601666*c_0110_6^9 - 1805233593673/1540601666*c_0110_6^8 + 689713950133/1540601666*c_0110_6^7 + 1150734392680/770300833*c_0110_6^6 + 361475614521/1540601666*c_0110_6^5 - 1314053243583/1540601666*c_0110_6^4 + 99878115880/770300833*c_0110_6^3 + 320586407000/770300833*c_0110_6^2 - 9622819355/1540601666*c_0110_6 - 98432018574/770300833, c_0011_0 - 1, c_0011_3 - 1837268793/3851504165*c_0110_6^13 - 7401742488/3851504165*c_0110_6^12 - 989960835/770300833*c_0110_6^11 - 10601724514/770300833*c_0110_6^10 - 13206487038/770300833*c_0110_6^9 - 55455053321/3851504165*c_0110_6^8 - 2693543653/3851504165*c_0110_6^7 + 103200716477/3851504165*c_0110_6^6 + 21515958209/3851504165*c_0110_6^5 - 42303728864/3851504165*c_0110_6^4 + 169146986/770300833*c_0110_6^3 + 25134148396/3851504165*c_0110_6^2 + 218799514/3851504165*c_0110_6 - 4072373186/3851504165, c_0011_4 + 681816892/3851504165*c_0110_6^13 + 1396550862/3851504165*c_0110_6^12 - 409635704/770300833*c_0110_6^11 + 4090484635/770300833*c_0110_6^10 - 3145925272/770300833*c_0110_6^9 + 17436101974/3851504165*c_0110_6^8 - 38793869928/3851504165*c_0110_6^7 - 1504286238/3851504165*c_0110_6^6 + 13226986969/3851504165*c_0110_6^5 - 4686356129/3851504165*c_0110_6^4 - 2523220909/770300833*c_0110_6^3 + 8856448426/3851504165*c_0110_6^2 + 6863504/3851504165*c_0110_6 - 2504739616/3851504165, c_0011_6 + 667470823/3851504165*c_0110_6^13 + 3299032868/3851504165*c_0110_6^12 + 792193107/770300833*c_0110_6^11 + 4017077478/770300833*c_0110_6^10 + 8417174909/770300833*c_0110_6^9 + 34014384191/3851504165*c_0110_6^8 + 19752037553/3851504165*c_0110_6^7 - 38287477707/3851504165*c_0110_6^6 - 30083120349/3851504165*c_0110_6^5 + 18513310809/3851504165*c_0110_6^4 + 1235667453/770300833*c_0110_6^3 - 17538831541/3851504165*c_0110_6^2 - 943710524/3851504165*c_0110_6 + 3448709166/3851504165, c_0101_5 + 1837268793/3851504165*c_0110_6^13 + 7401742488/3851504165*c_0110_6^12 + 989960835/770300833*c_0110_6^11 + 10601724514/770300833*c_0110_6^10 + 13206487038/770300833*c_0110_6^9 + 55455053321/3851504165*c_0110_6^8 + 2693543653/3851504165*c_0110_6^7 - 103200716477/3851504165*c_0110_6^6 - 21515958209/3851504165*c_0110_6^5 + 42303728864/3851504165*c_0110_6^4 - 169146986/770300833*c_0110_6^3 - 25134148396/3851504165*c_0110_6^2 - 218799514/3851504165*c_0110_6 + 4072373186/3851504165, c_0110_2 - 42112543/3851504165*c_0110_6^13 - 1233516993/3851504165*c_0110_6^12 - 747534133/770300833*c_0110_6^11 - 619943247/770300833*c_0110_6^10 - 7140277445/770300833*c_0110_6^9 - 20989793906/3851504165*c_0110_6^8 - 59279527043/3851504165*c_0110_6^7 + 4173855262/3851504165*c_0110_6^6 + 1564046114/3851504165*c_0110_6^5 + 5397352046/3851504165*c_0110_6^4 - 118543153/770300833*c_0110_6^3 + 4585536346/3851504165*c_0110_6^2 + 944399284/3851504165*c_0110_6 + 2319968299/3851504165, c_0110_6^14 + 4*c_0110_6^13 + 3*c_0110_6^12 + 30*c_0110_6^11 + 35*c_0110_6^10 + 42*c_0110_6^9 + 2*c_0110_6^8 - 41*c_0110_6^7 - 20*c_0110_6^6 + 19*c_0110_6^5 + 4*c_0110_6^4 - 12*c_0110_6^3 - 4*c_0110_6^2 + 3*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB