Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 2951623497] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1875 geometric_solution 5.50451844 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 0 1 -1 1 0 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 1.969531814509 0.530209871220 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 0 1 -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 -1 1 -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 0.290724313239 0.876194625698 3 1 4 5 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.142415873504 0.744985289295 6 5 2 1 0132 1023 3201 0132 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 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 -0.142415873504 0.744985289295 6 5 6 2 3120 2103 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416851396906 0.559622100463 3 4 2 6 1023 2103 0132 3012 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 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 -0.888402217944 1.368115079172 3 4 5 4 0132 1230 1230 3120 0 0 0 0 0 0 -1 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 -1 1 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 0.416851396906 0.559622100463 ==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_4'], 'c_1100_5' : negation(d['c_1001_6']), 'c_1100_4' : negation(d['c_1001_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_1001_6']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_0101_0, c_0101_1, c_0101_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 32852054990/469998379*c_1001_6^13 - 50124228629/469998379*c_1001_6^12 + 94337197185/469998379*c_1001_6^11 + 56877144716/469998379*c_1001_6^10 - 268457684842/469998379*c_1001_6^9 + 517819449569/469998379*c_1001_6^8 - 463886000447/469998379*c_1001_6^7 + 44021245388/469998379*c_1001_6^6 + 363328584907/469998379*c_1001_6^5 - 504001467949/469998379*c_1001_6^4 + 281928787549/469998379*c_1001_6^3 + 174676130/469998379*c_1001_6^2 - 50784050039/469998379*c_1001_6 - 1811959425/469998379, c_0011_0 - 1, c_0011_3 - c_1001_6, c_0011_4 - 632307145/469998379*c_1001_6^13 + 728889127/469998379*c_1001_6^12 - 1682169141/469998379*c_1001_6^11 - 1628396085/469998379*c_1001_6^10 + 4186810866/469998379*c_1001_6^9 - 8985985197/469998379*c_1001_6^8 + 6178379721/469998379*c_1001_6^7 - 433661244/469998379*c_1001_6^6 - 6430367438/469998379*c_1001_6^5 + 7415172769/469998379*c_1001_6^4 - 4308970751/469998379*c_1001_6^3 + 39971063/469998379*c_1001_6^2 + 260692072/469998379*c_1001_6 - 156659867/469998379, c_0101_0 + 74536355/469998379*c_1001_6^13 - 474578258/469998379*c_1001_6^12 + 416001525/469998379*c_1001_6^11 - 598265098/469998379*c_1001_6^10 - 2154619045/469998379*c_1001_6^9 + 2797036442/469998379*c_1001_6^8 - 5024720529/469998379*c_1001_6^7 + 366357461/469998379*c_1001_6^6 + 2060517099/469998379*c_1001_6^5 - 5007662534/469998379*c_1001_6^4 + 2756674109/469998379*c_1001_6^3 - 33545993/469998379*c_1001_6^2 - 988763693/469998379*c_1001_6 + 171277775/469998379, c_0101_1 + 542786705/469998379*c_1001_6^13 - 988202523/469998379*c_1001_6^12 + 1506444828/469998379*c_1001_6^11 + 450214713/469998379*c_1001_6^10 - 5392597257/469998379*c_1001_6^9 + 8554000751/469998379*c_1001_6^8 - 9622339956/469998379*c_1001_6^7 + 268830492/469998379*c_1001_6^6 + 6081052916/469998379*c_1001_6^5 - 9860852877/469998379*c_1001_6^4 + 5215402060/469998379*c_1001_6^3 + 153101811/469998379*c_1001_6^2 - 1396869136/469998379*c_1001_6 - 164271859/469998379, c_0101_2 + 342323770/469998379*c_1001_6^13 - 259151167/469998379*c_1001_6^12 + 1242639690/469998379*c_1001_6^11 + 806887340/469998379*c_1001_6^10 - 1097742475/469998379*c_1001_6^9 + 5544787157/469998379*c_1001_6^8 - 4563282927/469998379*c_1001_6^7 + 3423673114/469998379*c_1001_6^6 + 1633077086/469998379*c_1001_6^5 - 4564397213/469998379*c_1001_6^4 + 4313225731/469998379*c_1001_6^3 - 1777600908/469998379*c_1001_6^2 + 349452441/469998379*c_1001_6 + 271242283/469998379, c_1001_6^14 - 8/5*c_1001_6^13 + 16/5*c_1001_6^12 + 7/5*c_1001_6^11 - 39/5*c_1001_6^10 + 86/5*c_1001_6^9 - 81/5*c_1001_6^8 + 24/5*c_1001_6^7 + 51/5*c_1001_6^6 - 82/5*c_1001_6^5 + 57/5*c_1001_6^4 - 2*c_1001_6^3 - c_1001_6^2 + 1/5*c_1001_6 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB