Magma V2.19-8 Tue Aug 20 2013 16:17:35 on localhost [Seed = 1983376047] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1818 geometric_solution 5.47777437 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 0 1 -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 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.711039451422 0.540008803195 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 1 -1 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 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 0.336688291085 1.208382823725 4 5 1 5 0132 0132 0132 2310 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 -1 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 0.812440626727 0.646367374253 5 4 5 1 3201 0132 1023 0132 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 -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 0.812440626727 0.646367374253 2 3 6 6 0132 0132 3201 0132 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 0 0 0 0 0.336688291085 1.208382823725 2 2 3 3 3201 0132 1023 2310 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 -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 0.649618258194 0.353575625157 4 6 4 6 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.711039451422 0.540008803195 ==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' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(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' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], '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_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(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' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 25/2*c_0101_4^2 - 5/2, c_0011_0 - 1, c_0011_2 + 5*c_0101_4^2 - 3, c_0011_6 - 1, c_0101_0 - 5*c_0101_4^3 + 4*c_0101_4, c_0101_1 + c_0101_4, c_0101_3 - 10*c_0101_4^3 + 6*c_0101_4, c_0101_4^4 - c_0101_4^2 + 1/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 109626538524348204899/21082360658571835064*c_0101_4^18 + 3062535889962151924445/42164721317143670128*c_0101_4^16 - 17004225220468229660387/42164721317143670128*c_0101_4^14 + 32601416943318684791725/5270590164642958766*c_0101_4^12 + 213308148334357265124019/42164721317143670128*c_0101_4^10 + 16368719967310373251677/1621720050659371928*c_0101_4^8 + 780176979591527154370927/42164721317143670128*c_0101_4^6 + 56160316347392566914211/10541180329285917532*c_0101_4^4 - 119262674017500127129657/42164721317143670128*c_0101_4^2 + 18668690371036291209041/42164721317143670128, c_0011_0 - 1, c_0011_2 + 5166841319614847/1621720050659371928*c_0101_4^18 - 35948627518111417/810860025329685964*c_0101_4^16 + 398011818577053645/1621720050659371928*c_0101_4^14 - 6141340725867907683/1621720050659371928*c_0101_4^12 - 5254354420016183015/1621720050659371928*c_0101_4^10 - 11683973625273508305/1621720050659371928*c_0101_4^8 - 19071818354389230269/1621720050659371928*c_0101_4^6 - 7868264740460481101/1621720050659371928*c_0101_4^4 - 389680414954616145/405430012664842982*c_0101_4^2 + 929214212893786999/1621720050659371928, c_0011_6 - 6809771921905415/1621720050659371928*c_0101_4^18 + 91665758441449737/1621720050659371928*c_0101_4^16 - 119369735764655139/405430012664842982*c_0101_4^14 + 7796987407589316469/1621720050659371928*c_0101_4^12 + 5474668529493558899/810860025329685964*c_0101_4^10 + 13527952403549198973/1621720050659371928*c_0101_4^8 + 3881480655298389421/202715006332421491*c_0101_4^6 + 14486247454002545711/1621720050659371928*c_0101_4^4 - 4390225824467663487/1621720050659371928*c_0101_4^2 + 199056379366697263/810860025329685964, c_0101_0 - 82108699584244265/1621720050659371928*c_0101_4^19 + 574498978757420335/810860025329685964*c_0101_4^17 - 6397418067441720371/1621720050659371928*c_0101_4^15 + 97837876670322537621/1621720050659371928*c_0101_4^13 + 77354203601263044073/1621720050659371928*c_0101_4^11 + 157610107617568053031/1621720050659371928*c_0101_4^9 + 286460299679362516235/1621720050659371928*c_0101_4^7 + 77909813992416676875/1621720050659371928*c_0101_4^5 - 12416172711124135425/405430012664842982*c_0101_4^3 + 6308469571911880983/1621720050659371928*c_0101_4, c_0101_1 - 182658348801180469/1621720050659371928*c_0101_4^19 + 2549464444173064115/1621720050659371928*c_0101_4^17 - 3534268626051132005/405430012664842982*c_0101_4^15 + 217097827039781104511/1621720050659371928*c_0101_4^13 + 90095027314174492221/810860025329685964*c_0101_4^11 + 353511004673007959703/1621720050659371928*c_0101_4^9 + 81740865445805555149/202715006332421491*c_0101_4^7 + 188854838612366006541/1621720050659371928*c_0101_4^5 - 101028544866469117421/1621720050659371928*c_0101_4^3 + 7143064910344688221/810860025329685964*c_0101_4, c_0101_3 - 70182685678417961/810860025329685964*c_0101_4^19 + 979979937425480809/810860025329685964*c_0101_4^17 - 1360110860459504666/202715006332421491*c_0101_4^15 + 83489882350443240011/810860025329685964*c_0101_4^13 + 17124199738947211490/202715006332421491*c_0101_4^11 + 139153928371829685561/810860025329685964*c_0101_4^9 + 62685178513586089283/202715006332421491*c_0101_4^7 + 77555886518586134221/810860025329685964*c_0101_4^5 - 33491804465415811371/810860025329685964*c_0101_4^3 + 2687436276561577829/405430012664842982*c_0101_4, c_0101_4^20 - 14*c_0101_4^18 + 78*c_0101_4^16 - 1192*c_0101_4^14 - 935*c_0101_4^12 - 1908*c_0101_4^10 - 3495*c_0101_4^8 - 908*c_0101_4^6 + 582*c_0101_4^4 - 102*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB