Magma V2.19-8 Tue Aug 20 2013 16:14:57 on localhost [Seed = 2463305355] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s935 geometric_solution 5.85943832 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 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 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 0.836077206783 0.788065472003 0 3 5 4 0132 0132 0132 0132 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 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 0.613600064108 0.823897624381 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 1 -1 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 0 0 0 1 0 0 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613600064108 0.823897624381 3 1 2 3 3012 0132 3201 1230 0 0 0 0 0 1 0 -1 1 0 -1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219663122004 0.736545531859 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 0 -1 1 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 0.787493817436 1.192333755670 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 1 0 -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 -1 0 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 0.231653893894 0.640647222223 ==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' : negation(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_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_4']), 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 1114058119/4038802*c_0101_3^18 - 827577379/4038802*c_0101_3^17 - 7739505037/2019401*c_0101_3^16 + 7219181558/2019401*c_0101_3^15 + 43215698236/2019401*c_0101_3^14 - 46273783862/2019401*c_0101_3^13 - 126972044759/2019401*c_0101_3^12 + 295238807835/4038802*c_0101_3^11 + 208489326805/2019401*c_0101_3^10 - 251707000027/2019401*c_0101_3^9 - 385754053269/4038802*c_0101_3^8 + 233740833375/2019401*c_0101_3^7 + 110198556071/2019401*c_0101_3^6 - 252629052517/4038802*c_0101_3^5 - 85806425929/4038802*c_0101_3^4 + 76445353933/4038802*c_0101_3^3 + 10664093296/2019401*c_0101_3^2 - 9350748039/4038802*c_0101_3 - 979713078/2019401, c_0011_0 - 1, c_0011_4 + 8847871/4038802*c_0101_3^18 - 3731455/4038802*c_0101_3^17 - 63303580/2019401*c_0101_3^16 + 39128604/2019401*c_0101_3^15 + 371542907/2019401*c_0101_3^14 - 279875024/2019401*c_0101_3^13 - 2343611453/4038802*c_0101_3^12 + 1952918701/4038802*c_0101_3^11 + 4239509965/4038802*c_0101_3^10 - 1831041418/2019401*c_0101_3^9 - 4404887967/4038802*c_0101_3^8 + 1903314649/2019401*c_0101_3^7 + 2700462331/4038802*c_0101_3^6 - 1125466449/2019401*c_0101_3^5 - 1055918015/4038802*c_0101_3^4 + 730247765/4038802*c_0101_3^3 + 244695417/4038802*c_0101_3^2 - 49703776/2019401*c_0101_3 - 18362253/4038802, c_0101_0 - 12089007/8077604*c_0101_3^18 + 1737612/2019401*c_0101_3^17 + 170362503/8077604*c_0101_3^16 - 131564749/8077604*c_0101_3^15 - 487070131/4038802*c_0101_3^14 + 444664559/4038802*c_0101_3^13 + 1477664079/4038802*c_0101_3^12 - 1482945009/4038802*c_0101_3^11 - 5048019877/8077604*c_0101_3^10 + 5293616053/8077604*c_0101_3^9 + 1208797677/2019401*c_0101_3^8 - 2575549799/4038802*c_0101_3^7 - 2728412567/8077604*c_0101_3^6 + 1413571385/4038802*c_0101_3^5 + 1024708331/8077604*c_0101_3^4 - 216462172/2019401*c_0101_3^3 - 107972643/4038802*c_0101_3^2 + 26813358/2019401*c_0101_3 + 12743087/8077604, c_0101_1 + 3920533/2019401*c_0101_3^18 - 7615279/8077604*c_0101_3^17 - 56122938/2019401*c_0101_3^16 + 38097882/2019401*c_0101_3^15 + 1315116995/8077604*c_0101_3^14 - 534372579/4038802*c_0101_3^13 - 4130744379/8077604*c_0101_3^12 + 922250798/2019401*c_0101_3^11 + 7425615787/8077604*c_0101_3^10 - 6863233857/8077604*c_0101_3^9 - 1913085032/2019401*c_0101_3^8 + 7067941695/8077604*c_0101_3^7 + 2326570787/4038802*c_0101_3^6 - 1036832357/2019401*c_0101_3^5 - 453621136/2019401*c_0101_3^4 + 1363263591/8077604*c_0101_3^3 + 106096494/2019401*c_0101_3^2 - 189687687/8077604*c_0101_3 - 8175588/2019401, c_0101_2 - c_0101_3^2 + 1, c_0101_3^19 - c_0101_3^18 - 14*c_0101_3^17 + 17*c_0101_3^16 + 78*c_0101_3^15 - 110*c_0101_3^14 - 224*c_0101_3^13 + 363*c_0101_3^12 + 342*c_0101_3^11 - 658*c_0101_3^10 - 252*c_0101_3^9 + 665*c_0101_3^8 + 65*c_0101_3^7 - 387*c_0101_3^6 + 13*c_0101_3^5 + 133*c_0101_3^4 - 13*c_0101_3^3 - 23*c_0101_3^2 + 3*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB