Magma V2.19-8 Tue Aug 20 2013 16:18:43 on localhost [Seed = 964207690] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2890 geometric_solution 6.09958370 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 1230 3012 0132 0 0 0 0 0 0 1 -1 0 0 0 0 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 1 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 0 0 0 0 1.084811181564 0.867130380258 0 3 2 4 0132 0132 3201 0132 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 -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 0.296267946407 1.107178040473 1 4 0 5 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 1 -1 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 0.296267946407 1.107178040473 5 1 5 5 3201 0132 0213 1230 0 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 -1 0 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 0.575776703024 0.545541489777 6 2 1 6 0132 0132 0132 1023 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 0 0 0 0 0 0 0.089855394854 0.435941392712 3 3 2 3 3012 0213 0132 2310 0 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 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575776703024 0.545541489777 4 6 6 4 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.752311410044 0.878536659299 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_2'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_6, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 303841817/117713696*c_1001_3^9 - 1373721277/1059423264*c_1001_3^8 + 33441144583/1059423264*c_1001_3^7 - 13321259941/353141088*c_1001_3^6 - 94874384975/1059423264*c_1001_3^5 + 146924559103/529711632*c_1001_3^4 - 225275139439/1059423264*c_1001_3^3 - 61870337387/529711632*c_1001_3^2 + 24245926909/88285272*c_1001_3 - 117605842049/1059423264, c_0011_0 - 1, c_0011_2 - 2149/355989*c_1001_3^9 - 11326/355989*c_1001_3^8 + 5621/355989*c_1001_3^7 + 72169/355989*c_1001_3^6 - 57794/355989*c_1001_3^5 - 76917/118663*c_1001_3^4 + 89626/118663*c_1001_3^3 + 86734/355989*c_1001_3^2 - 395198/355989*c_1001_3 + 421472/355989, c_0011_5 - 1, c_0101_0 + 52552/355989*c_1001_3^9 + 2149/355989*c_1001_3^8 - 669701/355989*c_1001_3^7 + 1058894/355989*c_1001_3^6 + 1669901/355989*c_1001_3^5 - 2226875/118663*c_1001_3^4 + 2106754/118663*c_1001_3^3 + 2057432/355989*c_1001_3^2 - 7634443/355989*c_1001_3 + 3679696/355989, c_0101_1 + c_1001_3 - 1, c_0101_6 + 22652/355989*c_1001_3^9 + 21980/355989*c_1001_3^8 - 274930/355989*c_1001_3^7 + 204052/355989*c_1001_3^6 + 1033594/355989*c_1001_3^5 - 681224/118663*c_1001_3^4 + 111649/118663*c_1001_3^3 + 2076301/355989*c_1001_3^2 - 1429271/355989*c_1001_3 - 314536/355989, c_1001_3^10 - c_1001_3^9 - 13*c_1001_3^8 + 33*c_1001_3^7 + 13*c_1001_3^6 - 160*c_1001_3^5 + 243*c_1001_3^4 - 76*c_1001_3^3 - 176*c_1001_3^2 + 201*c_1001_3 - 62 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB