Magma V2.19-8 Tue Aug 20 2013 16:18:07 on localhost [Seed = 3718005016] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2343 geometric_solution 5.72421597 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 1302 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 1 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 -1.452322662976 2.543331854353 0 4 5 5 0132 0132 2310 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 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 0.876907097851 0.875916883330 6 0 3 6 0132 0132 3201 3012 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 1 0 -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 -0.038937351648 0.622566961430 2 4 0 0 2310 0213 2031 0132 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 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 -0.179308576029 0.906586510697 6 1 3 5 1023 0132 0213 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.518491656511 0.769498634533 6 1 1 4 3201 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.937249159187 0.418007269200 2 4 2 5 0132 1023 1230 2310 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 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 0.332423663062 0.340624641478 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_0101_1']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), '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_0011_5'], 'c_0110_5' : negation(d['c_0110_4']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : d['c_0110_4'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_3'])})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 6107300614/2189257937*c_0110_4^10 - 39014148554/2189257937*c_0110_4^9 + 146689186598/2189257937*c_0110_4^8 - 177591916299/2189257937*c_0110_4^7 - 11344477473/2189257937*c_0110_4^6 + 147917863029/2189257937*c_0110_4^5 + 84583054066/2189257937*c_0110_4^4 + 3925347771/75491653*c_0110_4^3 + 4562469733/2189257937*c_0110_4^2 + 922555625/75491653*c_0110_4 + 3698648629/2189257937, c_0011_0 - 1, c_0011_3 - 25811382/75491653*c_0110_4^10 + 177059532/75491653*c_0110_4^9 - 704792741/75491653*c_0110_4^8 + 1087308986/75491653*c_0110_4^7 - 466303264/75491653*c_0110_4^6 - 488178336/75491653*c_0110_4^5 + 76931766/75491653*c_0110_4^4 - 607064260/75491653*c_0110_4^3 + 138185856/75491653*c_0110_4^2 - 154384403/75491653*c_0110_4 - 13727143/75491653, c_0011_5 - 4040545/75491653*c_0110_4^10 + 18550765/75491653*c_0110_4^9 - 46478614/75491653*c_0110_4^8 - 84260931/75491653*c_0110_4^7 + 323610071/75491653*c_0110_4^6 - 222256319/75491653*c_0110_4^5 - 216561332/75491653*c_0110_4^4 - 67819224/75491653*c_0110_4^3 - 64922489/75491653*c_0110_4^2 + 30170131/75491653*c_0110_4 - 47528064/75491653, c_0101_0 - 8008015/75491653*c_0110_4^10 + 59835990/75491653*c_0110_4^9 - 251735290/75491653*c_0110_4^8 + 465328995/75491653*c_0110_4^7 - 322812518/75491653*c_0110_4^6 - 137621114/75491653*c_0110_4^5 + 201186877/75491653*c_0110_4^4 - 244986377/75491653*c_0110_4^3 + 192266390/75491653*c_0110_4^2 - 107285014/75491653*c_0110_4 - 9678895/75491653, c_0101_1 + 21716682/75491653*c_0110_4^10 - 151596371/75491653*c_0110_4^9 + 607442286/75491653*c_0110_4^8 - 957447216/75491653*c_0110_4^7 + 378406691/75491653*c_0110_4^6 + 614053513/75491653*c_0110_4^5 - 271148683/75491653*c_0110_4^4 + 417474160/75491653*c_0110_4^3 - 31635240/75491653*c_0110_4^2 + 148178406/75491653*c_0110_4 + 3630790/75491653, c_0101_3 - 25076164/75491653*c_0110_4^10 + 178482431/75491653*c_0110_4^9 - 722331829/75491653*c_0110_4^8 + 1183071273/75491653*c_0110_4^7 - 518472974/75491653*c_0110_4^6 - 729692709/75491653*c_0110_4^5 + 428289371/75491653*c_0110_4^4 - 492752305/75491653*c_0110_4^3 + 138475175/75491653*c_0110_4^2 - 89101765/75491653*c_0110_4 - 49397746/75491653, c_0110_4^11 - 7*c_0110_4^10 + 28*c_0110_4^9 - 44*c_0110_4^8 + 16*c_0110_4^7 + 30*c_0110_4^6 - 12*c_0110_4^5 + 17*c_0110_4^4 - 5*c_0110_4^3 + 5*c_0110_4^2 + c_0110_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB