Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 1730608052] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1287 geometric_solution 5.18322586 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1.663331040037 0.311841715022 0 2 2 0 3201 0132 1023 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 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.089736839396 0.685952480746 3 1 1 4 0132 0132 1023 0132 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 1 0 -1 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 0.373178026696 0.245059872586 2 5 6 4 0132 0132 0132 0321 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 -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 1.103491417771 0.881146370619 6 3 2 5 0132 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.103491417771 0.881146370619 5 3 5 4 2031 0132 1302 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 0.567357865650 0.557635848746 4 6 6 3 0132 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.246057396728 0.706205755796 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_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_1, c_0011_4, c_0101_0, c_0101_3, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 507617140777597/16563878671399*c_0110_5^15 + 2082113413387381/16563878671399*c_0110_5^14 + 7515410210764993/16563878671399*c_0110_5^13 - 13855146035675510/16563878671399*c_0110_5^12 - 44077779631576207/16563878671399*c_0110_5^11 + 19501538291062573/16563878671399*c_0110_5^10 + 91061166160139819/16563878671399*c_0110_5^9 + 10391674695776763/16563878671399*c_0110_5^8 - 55496547850542063/16563878671399*c_0110_5^7 - 58220331260205651/16563878671399*c_0110_5^6 - 51311687712771253/16563878671399*c_0110_5^5 + 69465091299444170/16563878671399*c_0110_5^4 + 80783527726885264/16563878671399*c_0110_5^3 - 33333926311639204/16563878671399*c_0110_5^2 - 28037873329439062/16563878671399*c_0110_5 + 4263021778505107/16563878671399, c_0011_0 - 1, c_0011_1 + 2118908510434/16563878671399*c_0110_5^15 - 5292978401325/16563878671399*c_0110_5^14 - 45248596810863/16563878671399*c_0110_5^13 + 11293213912438/16563878671399*c_0110_5^12 + 258745607289891/16563878671399*c_0110_5^11 + 163094525413424/16563878671399*c_0110_5^10 - 407939426633578/16563878671399*c_0110_5^9 - 381963794334028/16563878671399*c_0110_5^8 + 69375611730005/16563878671399*c_0110_5^7 + 225157725048003/16563878671399*c_0110_5^6 + 494293151514530/16563878671399*c_0110_5^5 + 63134559089426/16563878671399*c_0110_5^4 - 471161659887462/16563878671399*c_0110_5^3 - 41397324490269/16563878671399*c_0110_5^2 + 93418621956204/16563878671399*c_0110_5 - 3457983796257/16563878671399, c_0011_4 + 1888604902807/16563878671399*c_0110_5^15 - 10379602358965/16563878671399*c_0110_5^14 - 15905770856408/16563878671399*c_0110_5^13 + 83140063634379/16563878671399*c_0110_5^12 + 83402506535925/16563878671399*c_0110_5^11 - 238213913337555/16563878671399*c_0110_5^10 - 193104820364242/16563878671399*c_0110_5^9 + 235670243364752/16563878671399*c_0110_5^8 + 139900085355305/16563878671399*c_0110_5^7 + 139941881961131/16563878671399*c_0110_5^6 - 16846496813778/16563878671399*c_0110_5^5 - 436276638898231/16563878671399*c_0110_5^4 + 24967573087881/16563878671399*c_0110_5^3 + 212316863797903/16563878671399*c_0110_5^2 - 5217779757368/16563878671399*c_0110_5 - 15705529850975/16563878671399, c_0101_0 + 2366571060018/16563878671399*c_0110_5^15 - 8338912119819/16563878671399*c_0110_5^14 - 38053166423905/16563878671399*c_0110_5^13 + 34876421388443/16563878671399*c_0110_5^12 + 202682939284648/16563878671399*c_0110_5^11 + 69920954729972/16563878671399*c_0110_5^10 - 269495201009431/16563878671399*c_0110_5^9 - 240698805361812/16563878671399*c_0110_5^8 - 18543602146113/16563878671399*c_0110_5^7 + 225505782210488/16563878671399*c_0110_5^6 + 329154595845299/16563878671399*c_0110_5^5 - 3345309567374/16563878671399*c_0110_5^4 - 236326946161638/16563878671399*c_0110_5^3 - 90148948500490/16563878671399*c_0110_5^2 + 60587034723172/16563878671399*c_0110_5 + 14419252594988/16563878671399, c_0101_3 - 739046522407/16563878671399*c_0110_5^15 + 4519842080700/16563878671399*c_0110_5^14 + 4199060489940/16563878671399*c_0110_5^13 - 38036668680482/16563878671399*c_0110_5^12 - 21152974190922/16563878671399*c_0110_5^11 + 121250993640741/16563878671399*c_0110_5^10 + 65657744952190/16563878671399*c_0110_5^9 - 125726905396645/16563878671399*c_0110_5^8 - 68544373914439/16563878671399*c_0110_5^7 - 79631080773104/16563878671399*c_0110_5^6 + 29451622364367/16563878671399*c_0110_5^5 + 212907128162302/16563878671399*c_0110_5^4 - 27449472513925/16563878671399*c_0110_5^3 - 89617695379731/16563878671399*c_0110_5^2 + 5657450993038/16563878671399*c_0110_5 - 33194774070/16563878671399, c_0101_6 - 33194774070/16563878671399*c_0110_5^15 - 606267426127/16563878671399*c_0110_5^14 + 5017763691750/16563878671399*c_0110_5^13 + 3369191138190/16563878671399*c_0110_5^12 - 40891419250502/16563878671399*c_0110_5^11 - 20289910065102/16563878671399*c_0110_5^10 + 126694936588221/16563878671399*c_0110_5^9 + 66786367270570/16563878671399*c_0110_5^8 - 128415682096315/16563878671399*c_0110_5^7 - 72096214739929/16563878671399*c_0110_5^6 - 83282505920804/16563878671399*c_0110_5^5 + 33103047512067/16563878671399*c_0110_5^4 + 217554396532102/16563878671399*c_0110_5^3 - 29009626895215/16563878671399*c_0110_5^2 - 74481191993342/16563878671399*c_0110_5 + 5823424863388/16563878671399, c_0110_5^16 - 4*c_0110_5^15 - 15*c_0110_5^14 + 25*c_0110_5^13 + 86*c_0110_5^12 - 26*c_0110_5^11 - 164*c_0110_5^10 - 34*c_0110_5^9 + 81*c_0110_5^8 + 107*c_0110_5^7 + 110*c_0110_5^6 - 110*c_0110_5^5 - 140*c_0110_5^4 + 47*c_0110_5^3 + 43*c_0110_5^2 - 5*c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB