Magma V2.19-8 Tue Aug 20 2013 23:29:44 on localhost [Seed = 2378951632] Type ? for help. Type -D to quit. Loading file "K13n2769__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2769 geometric_solution 8.58116869 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 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 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 0.394944529206 1.088972389158 0 5 7 6 0132 0132 0132 0132 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.844519493621 0.979214891504 8 0 6 3 0132 0132 1230 3201 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 -1 1 0 1 0 -1 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.265823221159 0.991536363130 7 2 4 0 2031 2310 2310 0132 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 -1 1 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375359529916 0.685891078407 5 3 0 8 2031 3201 0132 3012 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 1 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340916468800 0.784006314299 8 1 4 7 1023 0132 1302 1230 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.241234342542 0.781795046470 7 8 1 2 1023 0321 0132 3012 0 0 0 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 0 0 0 0 0 5 -5 1 0 0 -1 -6 5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725800944935 0.796971084443 5 6 3 1 3012 1023 1302 0132 0 0 0 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 0 0 0 0 -1 6 -5 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444954520894 0.365520821513 2 5 4 6 0132 1023 1230 0321 0 0 0 0 0 0 0 0 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 0 0 -1 0 1 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039751139870 0.793880674013 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_0101_8'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_4']), 's_2_8' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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_8' : d['c_0110_4'], 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0011_6'], 's_3_1' : negation(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_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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_1_8' : d['1'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], '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_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_8, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 2944557927257580/123845983577041*c_0110_4^9 + 5759871763251883/123845983577041*c_0110_4^8 + 7100344326973297/123845983577041*c_0110_4^7 + 9759027932709089/123845983577041*c_0110_4^6 + 17693370999375259/123845983577041*c_0110_4^5 + 3808929880780384/123845983577041*c_0110_4^4 - 545122602351882/123845983577041*c_0110_4^3 + 22201086919738112/123845983577041*c_0110_4^2 + 20332219381045508/123845983577041*c_0110_4 + 1268164040130963/123845983577041, c_0011_0 - 1, c_0011_3 + 88563315/174329557*c_0110_4^9 + 172082549/174329557*c_0110_4^8 + 223959054/174329557*c_0110_4^7 + 306629582/174329557*c_0110_4^6 + 523179980/174329557*c_0110_4^5 + 92186035/174329557*c_0110_4^4 + 51043671/174329557*c_0110_4^3 + 657780292/174329557*c_0110_4^2 + 456405285/174329557*c_0110_4 + 63849032/174329557, c_0011_4 + 117581360/174329557*c_0110_4^9 + 226011806/174329557*c_0110_4^8 + 270205006/174329557*c_0110_4^7 + 358110090/174329557*c_0110_4^6 + 687756668/174329557*c_0110_4^5 + 76385257/174329557*c_0110_4^4 - 75936397/174329557*c_0110_4^3 + 821521415/174329557*c_0110_4^2 + 748916400/174329557*c_0110_4 - 161218522/174329557, c_0011_6 - 32092635/174329557*c_0110_4^9 - 15759846/174329557*c_0110_4^8 - 15302016/174329557*c_0110_4^7 - 29818174/174329557*c_0110_4^6 - 94155250/174329557*c_0110_4^5 + 100425234/174329557*c_0110_4^4 - 133801547/174329557*c_0110_4^3 - 188991838/174329557*c_0110_4^2 + 88009850/174329557*c_0110_4 + 34231375/174329557, c_0101_0 - 261190370/174329557*c_0110_4^9 - 428935492/174329557*c_0110_4^8 - 486604821/174329557*c_0110_4^7 - 725326376/174329557*c_0110_4^6 - 1321540482/174329557*c_0110_4^5 + 108813762/174329557*c_0110_4^4 + 123334794/174329557*c_0110_4^3 - 1971699144/174329557*c_0110_4^2 - 1044796769/174329557*c_0110_4 + 242788030/174329557, c_0101_1 - 87035370/174329557*c_0110_4^9 - 133884722/174329557*c_0110_4^8 - 151162029/174329557*c_0110_4^7 - 206356234/174329557*c_0110_4^6 - 377841879/174329557*c_0110_4^5 + 152657616/174329557*c_0110_4^4 - 31282795/174329557*c_0110_4^3 - 683174012/174329557*c_0110_4^2 - 347610515/174329557*c_0110_4 + 136781743/174329557, c_0101_3 + 157174380/174329557*c_0110_4^9 + 235785123/174329557*c_0110_4^8 + 261540613/174329557*c_0110_4^7 + 407414727/174329557*c_0110_4^6 + 783521967/174329557*c_0110_4^5 - 145216436/174329557*c_0110_4^4 + 1069131/174329557*c_0110_4^3 + 1181148579/174329557*c_0110_4^2 + 476464259/174329557*c_0110_4 - 201253506/174329557, c_0101_8 + 172684820/174329557*c_0110_4^9 + 344141462/174329557*c_0110_4^8 + 396639246/174329557*c_0110_4^7 + 560583239/174329557*c_0110_4^6 + 1030940650/174329557*c_0110_4^5 + 236304776/174329557*c_0110_4^4 - 114895733/174329557*c_0110_4^3 + 1409200077/174329557*c_0110_4^2 + 1190975040/174329557*c_0110_4 - 126998700/174329557, c_0110_4^10 + 8/5*c_0110_4^9 + 9/5*c_0110_4^8 + 13/5*c_0110_4^7 + 5*c_0110_4^6 - 3/5*c_0110_4^5 - 1/5*c_0110_4^4 + 38/5*c_0110_4^3 + 21/5*c_0110_4^2 - 7/5*c_0110_4 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB