Magma V2.19-8 Wed Aug 21 2013 00:55:03 on localhost [Seed = 459080062] Type ? for help. Type -D to quit. Loading file "L12n892__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n892 geometric_solution 11.96423008 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 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 0 0 1 -1 0 0 0 0 1 -2 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193984745056 0.596406033497 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 -2 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736077977409 0.483176197064 8 0 9 5 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 -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 -1 0 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216383678029 1.353957195977 10 6 11 0 0132 0132 0132 0132 1 1 1 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517546290849 0.904414098495 8 9 0 12 2310 0213 0132 0132 1 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 -1 1 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 0.243368154222 2.354071395964 7 1 2 12 2031 0132 0132 0321 1 1 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 -1 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738695024701 1.155740143227 10 3 1 12 2103 0132 0132 3120 1 1 0 1 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 -1 0 1 -1 0 1 0 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884903644853 0.720181576081 8 11 5 1 1302 0132 1302 0132 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 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689731780998 0.665562139183 2 7 4 10 0132 2031 3201 2103 0 1 0 1 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 -1 1 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441182226062 0.552546315288 11 10 4 2 0132 3120 0213 0132 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 -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 -0.193363771732 1.173046635654 3 9 6 8 0132 3120 2103 2103 0 1 0 1 0 0 -1 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 0 -1 1 0 0 1 -1 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.136804830191 0.829930262321 9 7 12 3 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.173233524031 0.553607856979 6 5 4 11 3120 0321 0132 0132 1 1 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 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 0.361491732247 1.054374118638 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : negation(d['c_0011_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_1001_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_12'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_12'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0011_4']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_12']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : negation(d['c_0101_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_1001_0, c_1001_1, c_1001_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 16386037853/116244876800*c_1100_0^8 + 2427902767/2906121920*c_1100_0^7 + 7692717033/11624487680*c_1100_0^6 - 79126436369/14530609600*c_1100_0^5 - 1640187790413/232489753600*c_1100_0^4 + 193617995459/46497950720*c_1100_0^3 + 1960868735999/232489753600*c_1100_0^2 + 25893018053/116244876800*c_1100_0 - 96360687381/46497950720, c_0011_0 - 1, c_0011_10 + 4664653/27943480*c_1100_0^8 - 737610/698587*c_1100_0^7 - 633197/2794348*c_1100_0^6 + 20177794/3492935*c_1100_0^5 + 295839693/55886960*c_1100_0^4 - 28306139/11177392*c_1100_0^3 - 127987039/55886960*c_1100_0^2 + 30366527/27943480*c_1100_0 - 7631539/11177392, c_0011_11 - 40249793/55886960*c_1100_0^8 + 2649236/698587*c_1100_0^7 + 30290833/5588696*c_1100_0^6 - 76808087/3492935*c_1100_0^5 - 5082567873/111773920*c_1100_0^4 - 568165385/22354784*c_1100_0^3 - 865142421/111773920*c_1100_0^2 - 416012307/55886960*c_1100_0 - 10473569/22354784, c_0011_12 - 1, c_0011_4 - 4426919/27943480*c_1100_0^8 + 771774/698587*c_1100_0^7 - 480945/2794348*c_1100_0^6 - 25336012/3492935*c_1100_0^5 - 97430279/55886960*c_1100_0^4 + 145490481/11177392*c_1100_0^3 + 548792077/55886960*c_1100_0^2 + 88340099/27943480*c_1100_0 + 46715785/11177392, c_0101_0 - 1, c_0101_1 + 10925567/27943480*c_1100_0^8 - 1564762/698587*c_1100_0^7 - 5605671/2794348*c_1100_0^6 + 46675406/3492935*c_1100_0^5 + 1088408927/55886960*c_1100_0^4 + 20108999/11177392*c_1100_0^3 - 222153461/55886960*c_1100_0^2 + 21642493/27943480*c_1100_0 - 28689457/11177392, c_0101_11 - 2567159/13971740*c_1100_0^8 + 769344/698587*c_1100_0^7 + 1005667/1397174*c_1100_0^6 - 23658074/3492935*c_1100_0^5 - 231227079/27943480*c_1100_0^4 + 20342833/5588696*c_1100_0^3 + 181803557/27943480*c_1100_0^2 + 31533699/13971740*c_1100_0 + 13669521/5588696, c_0101_12 - 1767863/13971740*c_1100_0^8 + 558200/698587*c_1100_0^7 + 337171/1397174*c_1100_0^6 - 16576948/3492935*c_1100_0^5 - 119523703/27943480*c_1100_0^4 + 23035537/5588696*c_1100_0^3 + 113252949/27943480*c_1100_0^2 - 11747077/13971740*c_1100_0 + 3956025/5588696, c_1001_0 - 2567159/13971740*c_1100_0^8 + 769344/698587*c_1100_0^7 + 1005667/1397174*c_1100_0^6 - 23658074/3492935*c_1100_0^5 - 231227079/27943480*c_1100_0^4 + 20342833/5588696*c_1100_0^3 + 181803557/27943480*c_1100_0^2 + 17561959/13971740*c_1100_0 + 8080825/5588696, c_1001_1 - 1128927/27943480*c_1100_0^8 + 179410/698587*c_1100_0^7 - 41145/2794348*c_1100_0^6 - 3600846/3492935*c_1100_0^5 - 56792287/55886960*c_1100_0^4 - 17764935/11177392*c_1100_0^3 - 98518859/55886960*c_1100_0^2 + 21071107/27943480*c_1100_0 - 280511/11177392, c_1001_12 - 1, c_1100_0^9 - 5*c_1100_0^8 - 10*c_1100_0^7 + 34*c_1100_0^6 + 161/2*c_1100_0^5 + 20*c_1100_0^4 - 54*c_1100_0^3 - 67/2*c_1100_0^2 - 25/2*c_1100_0 - 25/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB