Magma V2.19-8 Tue Aug 20 2013 16:17:08 on localhost [Seed = 2951623547] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1374 geometric_solution 5.23119223 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 3201 0132 3201 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 -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 0.548760887914 0.348074500629 0 3 0 3 0132 0132 2310 2310 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 -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 -0.299474790047 0.824246130852 4 0 5 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 0 0 1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.151764322039 0.476171630223 1 1 4 5 3201 0132 1230 1230 0 0 0 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 0 0 0 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 0 0 0 0 -0.607611841208 1.906426471545 2 4 4 3 0132 1230 3012 3012 0 0 0 0 0 -1 1 0 0 0 1 -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 1 -1 0 0 0 -1 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.030617543787 0.702979689179 3 6 6 2 3012 0132 1023 0132 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829927176452 0.363375019386 6 5 5 6 3201 0132 1023 2310 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 0 0 0 0 1.109078333041 0.363415724978 ==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' : d['c_0011_2'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_2']), 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), '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' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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_6'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : negation(d['c_0101_5'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 6043/32791*c_0101_6^10 + 55915/32791*c_0101_6^9 + 331569/65582*c_0101_6^8 + 541197/65582*c_0101_6^7 + 941637/65582*c_0101_6^6 + 512250/32791*c_0101_6^5 + 566763/65582*c_0101_6^4 + 627701/65582*c_0101_6^3 - 311983/65582*c_0101_6^2 + 18180/2981*c_0101_6 - 76293/65582, c_0011_0 - 1, c_0011_2 + 2087/2981*c_0101_6^10 + 10751/2981*c_0101_6^9 + 22425/2981*c_0101_6^8 + 40103/2981*c_0101_6^7 + 59393/2981*c_0101_6^6 + 49262/2981*c_0101_6^5 + 39786/2981*c_0101_6^4 + 11756/2981*c_0101_6^3 - 782/2981*c_0101_6^2 + 790/271*c_0101_6 - 1284/2981, c_0101_0 + 465/2981*c_0101_6^10 + 3241/2981*c_0101_6^9 + 9233/2981*c_0101_6^8 + 17724/2981*c_0101_6^7 + 29718/2981*c_0101_6^6 + 36538/2981*c_0101_6^5 + 33144/2981*c_0101_6^4 + 25776/2981*c_0101_6^3 + 13091/2981*c_0101_6^2 + 664/271*c_0101_6 + 4089/2981, c_0101_1 - 1, c_0101_2 - 1918/2981*c_0101_6^10 - 9759/2981*c_0101_6^9 - 20172/2981*c_0101_6^8 - 36777/2981*c_0101_6^7 - 55112/2981*c_0101_6^6 - 46477/2981*c_0101_6^5 - 41145/2981*c_0101_6^4 - 13985/2981*c_0101_6^3 - 3525/2981*c_0101_6^2 - 829/271*c_0101_6 + 5328/2981, c_0101_5 - 1063/2981*c_0101_6^10 - 5146/2981*c_0101_6^9 - 9638/2981*c_0101_6^8 - 16881/2981*c_0101_6^7 - 25375/2981*c_0101_6^6 - 19105/2981*c_0101_6^5 - 18475/2981*c_0101_6^4 - 9863/2981*c_0101_6^3 - 5418/2981*c_0101_6^2 - 797/271*c_0101_6 + 634/2981, c_0101_6^11 + 5*c_0101_6^10 + 10*c_0101_6^9 + 18*c_0101_6^8 + 27*c_0101_6^7 + 22*c_0101_6^6 + 20*c_0101_6^5 + 8*c_0101_6^4 + 3*c_0101_6^3 + 7*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB