Magma V2.19-8 Tue Aug 20 2013 16:16:08 on localhost [Seed = 913812215] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0401 geometric_solution 4.46567798 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 0 1 0 -1 -1 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165571005826 0.465487043024 0 3 2 2 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411888579516 1.225556994383 3 0 1 1 0132 0132 0132 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411888579516 1.225556994383 2 1 4 4 0132 0132 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 -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 -1.012400407941 0.664178464342 5 3 5 3 0132 2310 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 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.164600731450 1.634746997800 4 4 6 6 0132 3201 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 -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 0.284127019447 0.113454507076 6 5 6 5 2310 2310 3201 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 0 0 0 -1 0 1 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.775407407283 0.341363805547 ==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' : 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' : 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_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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_3'], '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_4']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), '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_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), '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_4, 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: 11 Groebner basis: [ t - 7071235224/19023577*c_0101_4^10 + 46383734973/19023577*c_0101_4^9 + 55036221011/38047154*c_0101_4^8 - 186592228315/38047154*c_0101_4^7 - 354257562982/19023577*c_0101_4^6 - 538597453199/38047154*c_0101_4^5 + 2065301031/19023577*c_0101_4^4 + 85210818366/19023577*c_0101_4^3 + 104586974057/38047154*c_0101_4^2 - 7875907871/38047154*c_0101_4 - 11269771737/38047154, c_0011_0 - 1, c_0011_4 + 33246455/38047154*c_0101_4^10 - 436870413/76094308*c_0101_4^9 - 61291585/19023577*c_0101_4^8 + 821561735/76094308*c_0101_4^7 + 3287531405/76094308*c_0101_4^6 + 2607608649/76094308*c_0101_4^5 + 97131682/19023577*c_0101_4^4 - 444464449/76094308*c_0101_4^3 - 188240033/38047154*c_0101_4^2 + 12827763/38047154*c_0101_4 + 64784099/76094308, c_0011_6 - 43584643/38047154*c_0101_4^10 + 595179493/76094308*c_0101_4^9 + 84794233/38047154*c_0101_4^8 - 1133036737/76094308*c_0101_4^7 - 4010771293/76094308*c_0101_4^6 - 2347540191/76094308*c_0101_4^5 + 31294404/19023577*c_0101_4^4 + 510448889/76094308*c_0101_4^3 + 82777917/19023577*c_0101_4^2 - 30988081/19023577*c_0101_4 - 9040561/76094308, c_0101_0 + 25663377/38047154*c_0101_4^10 - 307083083/76094308*c_0101_4^9 - 100760293/19023577*c_0101_4^8 + 631057101/76094308*c_0101_4^7 + 2939188567/76094308*c_0101_4^6 + 3282038347/76094308*c_0101_4^5 + 196270269/19023577*c_0101_4^4 - 542985351/76094308*c_0101_4^3 - 226089259/38047154*c_0101_4^2 - 69140395/38047154*c_0101_4 + 74242909/76094308, c_0101_1 - 31955893/38047154*c_0101_4^10 + 446602643/76094308*c_0101_4^9 + 26779191/38047154*c_0101_4^8 - 835853651/76094308*c_0101_4^7 - 2861128455/76094308*c_0101_4^6 - 1276187073/76094308*c_0101_4^5 + 108015948/19023577*c_0101_4^4 + 666549647/76094308*c_0101_4^3 + 93320556/19023577*c_0101_4^2 - 28521754/19023577*c_0101_4 - 20778447/76094308, c_0101_3 + 8311408/19023577*c_0101_4^10 - 69181269/19023577*c_0101_4^9 + 136751685/38047154*c_0101_4^8 + 269234649/38047154*c_0101_4^7 + 221003652/19023577*c_0101_4^6 - 707907791/38047154*c_0101_4^5 - 356712675/19023577*c_0101_4^4 - 34387586/19023577*c_0101_4^3 + 78858271/38047154*c_0101_4^2 + 78334317/38047154*c_0101_4 - 38415549/38047154, c_0101_4^11 - 13/2*c_0101_4^10 - 9/2*c_0101_4^9 + 29/2*c_0101_4^8 + 51*c_0101_4^7 + 38*c_0101_4^6 - 15/2*c_0101_4^5 - 31/2*c_0101_4^4 - 11/2*c_0101_4^3 + 2*c_0101_4^2 + 3/2*c_0101_4 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB