Magma V2.19-8 Wed Aug 21 2013 01:04:02 on localhost [Seed = 2446821830] Type ? for help. Type -D to quit. Loading file "L14n23977__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23977 geometric_solution 12.25465883 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 -1 0 1 -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 2 1 -3 2 0 0 -2 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799862716795 1.417660506411 0 3 6 5 0132 3120 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -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 0 0 0 -2 0 0 2 -1 3 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625705651301 0.511609647780 5 0 7 5 3120 0132 0132 0321 1 1 1 1 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 -2 2 0 -2 0 0 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.759041120422 0.913452602324 8 1 9 0 0132 3120 0132 0132 1 1 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 0 0 0 1 0 -1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149484178506 0.784646025518 8 10 0 7 1230 0132 0132 3012 1 1 1 1 0 1 -1 0 0 0 -1 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 -3 3 0 0 0 2 -2 -3 3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034396823811 0.840137597583 8 2 1 2 2103 0321 0132 3120 1 1 1 1 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 -2 2 -1 1 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269994994970 1.023525803246 10 7 9 1 3120 3120 0321 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.203242905261 0.862806721156 9 6 4 2 1302 3120 1230 0132 1 1 1 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613051352134 0.563211728544 3 4 5 10 0132 3012 2103 2310 1 1 1 1 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.874382557483 0.618641558149 11 7 6 3 0132 2031 0321 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.620369760094 0.997294705687 8 4 12 6 3201 0132 0132 3120 1 1 1 1 0 -1 1 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 3 -3 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.918078586793 0.755149626233 9 12 12 12 0132 3120 3201 3012 0 1 1 1 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 0 0 0 0 0 0 -3 2 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578200144320 0.656726823100 11 11 11 10 2310 3120 1230 0132 1 1 1 0 0 0 1 -1 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 3 0 0 -3 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244780603228 0.857787463490 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_1001_6']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_7'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_6']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0101_11' : negation(d['c_0101_10']), 'c_0101_10' : d['c_0101_10'], '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' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0011_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0101_1']), 's_3_1' : negation(d['1']), 's_3_0' : 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_7' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_6']), 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_6']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_0011_10'], 's_2_9' : d['1']})} 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 8553/4147*c_1001_6^4 - 23006/4147*c_1001_6^3 + 15398/4147*c_1001_6^2 - 15096/4147*c_1001_6 + 11766/4147, c_0011_0 - 1, c_0011_10 - c_1001_6^4 + 3*c_1001_6^3 - 2*c_1001_6^2 + c_1001_6 - 1, c_0011_11 - c_1001_6^3 + 2*c_1001_6^2 - c_1001_6 + 1, c_0011_12 + 1, c_0011_3 - c_1001_6^4 + 3*c_1001_6^3 - 3*c_1001_6^2 + 2*c_1001_6 - 1, c_0011_6 - c_1001_6^4 + 2*c_1001_6^3, c_0011_7 - c_1001_6, c_0101_0 + c_1001_6^3 - 2*c_1001_6^2, c_0101_1 - c_1001_6^3 + 3*c_1001_6^2 - 2*c_1001_6 + 2, c_0101_10 - c_1001_6^4 + 2*c_1001_6^3 + c_1001_6^2 - c_1001_6 + 1, c_0101_2 + c_1001_6, c_0101_6 - c_1001_6^4 + c_1001_6^3 + 3*c_1001_6^2 - 2*c_1001_6 + 2, c_1001_6^5 - 3*c_1001_6^4 + 3*c_1001_6^3 - 3*c_1001_6^2 + 2*c_1001_6 - 1 ], 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 264003503212761339073887/5855487153128671068524800*c_1001_6^8 + 17676063141262970824199503/81976820143801394959347200*c_1001_6^7 + 4057505296150803926030381/12611818483661753070668800*c_1001_6^6 + 6874912054972433292788941/327907280575205579837388800*c_1001_6^5 + 115379733017066375253612357/327907280575205579837388800*c_1001_6^4 + 1222406562609122394828153993/327907280575205579837388800*c_1001_6^3 + 2377501332077396947663949667/327907280575205579837388800*c_1001_6\ ^2 + 151411918579864040768517821/20494205035950348739836800*c_1001_\ 6 + 1295093239038397675290435041/327907280575205579837388800, c_0011_0 - 1, c_0011_10 - 103586294760/4213070861647*c_1001_6^8 - 92666909844/4213070861647*c_1001_6^7 + 41254487194/4213070861647*c_1001_6^6 + 258423148733/4213070861647*c_1001_6^5 - 2206298428670/4213070861647*c_1001_6^4 - 1955565529308/4213070861647*c_1001_6^3 - 926528335107/4213070861647*c_1001_6^2 - 1070111454497/4213070861647*c_1001_6 + 364746983904/4213070861647, c_0011_11 - 905738448/4213070861647*c_1001_6^8 + 79887726152/4213070861647*c_1001_6^7 - 86852505340/4213070861647*c_1001_6^6 - 56292711270/4213070861647*c_1001_6^5 - 207359093840/4213070861647*c_1001_6^4 + 1898873049825/4213070861647*c_1001_6^3 - 1850026861370/4213070861647*c_1001_6^2 - 1511756020021/4213070861647*c_1001_6 - 760414490437/4213070861647, c_0011_12 + 1, c_0011_3 - 48592890624/4213070861647*c_1001_6^8 - 59997453800/4213070861647*c_1001_6^7 - 112885762476/4213070861647*c_1001_6^6 + 79101947742/4213070861647*c_1001_6^5 - 553257821337/4213070861647*c_1001_6^4 - 927412952703/4213070861647*c_1001_6^3 - 4443390997287/4213070861647*c_1001_6^2 - 1799198397360/4213070861647*c_1001_6 + 2982676901647/4213070861647, c_0011_6 - 102680556312/4213070861647*c_1001_6^8 - 172554635996/4213070861647*c_1001_6^7 + 128106992534/4213070861647*c_1001_6^6 + 314715860003/4213070861647*c_1001_6^5 - 1998939334830/4213070861647*c_1001_6^4 - 3854438579133/4213070861647*c_1001_6^3 + 923498526263/4213070861647*c_1001_6^2 + 441644565524/4213070861647*c_1001_6 + 1125161474341/4213070861647, c_0011_7 + 304718460336/4213070861647*c_1001_6^8 + 442559446616/4213070861647*c_1001_6^7 - 288108330956/4213070861647*c_1001_6^6 - 1625900672182/4213070861647*c_1001_6^5 + 5759244308020/4213070861647*c_1001_6^4 + 9479373682492/4213070861647*c_1001_6^3 + 1920964076612/4213070861647*c_1001_6^2 - 8169976768771/4213070861647*c_1001_6 - 7318091424966/4213070861647, c_0101_0 - 77793371288/4213070861647*c_1001_6^8 - 88185818820/4213070861647*c_1001_6^7 + 275993595786/4213070861647*c_1001_6^6 + 521797565769/4213070861647*c_1001_6^5 - 1463456480235/4213070861647*c_1001_6^4 - 2576191711718/4213070861647*c_1001_6^3 + 2572990130321/4213070861647*c_1001_6^2 + 4388177457770/4213070861647*c_1001_6 + 4571879882805/4213070861647, c_0101_1 - 1078890536/4213070861647*c_1001_6^8 - 77483367324/4213070861647*c_1001_6^7 - 147014577162/4213070861647*c_1001_6^6 + 94124595815/4213070861647*c_1001_6^5 + 385469216683/4213070861647*c_1001_6^4 - 2110131086928/4213070861647*c_1001_6^3 - 3531660030826/4213070861647*c_1001_6^2 + 797399870484/4213070861647*c_1001_6 + 2162460917621/4213070861647, c_0101_10 + 104665185296/4213070861647*c_1001_6^8 + 170150277168/4213070861647*c_1001_6^7 + 105760089968/4213070861647*c_1001_6^6 - 352547744548/4213070861647*c_1001_6^5 + 1820829211987/4213070861647*c_1001_6^4 + 4065696616236/4213070861647*c_1001_6^3 + 4458188365933/4213070861647*c_1001_6^2 + 272711584013/4213070861647*c_1001_6 - 2527207901525/4213070861647, c_0101_2 + 200952120792/4213070861647*c_1001_6^8 + 281277177108/4213070861647*c_1001_6^7 - 31168403002/4213070861647*c_1001_6^6 - 892052283833/4213070861647*c_1001_6^5 + 3432879975347/4213070861647*c_1001_6^4 + 5667099793949/4213070861647*c_1001_6^3 + 5403873035593/4213070861647*c_1001_6^2 - 4392325417849/4213070861647*c_1001_6 - 10854793475777/4213070861647, c_0101_6 + 103759446848/4213070861647*c_1001_6^8 + 250038003320/4213070861647*c_1001_6^7 + 18907584628/4213070861647*c_1001_6^6 - 408840455818/4213070861647*c_1001_6^5 + 1613470118147/4213070861647*c_1001_6^4 + 5964569666061/4213070861647*c_1001_6^3 + 2608161504563/4213070861647*c_1001_6^2 - 1239044436008/4213070861647*c_1001_6 - 3287622391962/4213070861647, c_1001_6^9 + 5/2*c_1001_6^8 + 3/4*c_1001_6^7 - 45/8*c_1001_6^6 + 13*c_1001_6^5 + 101/2*c_1001_6^4 + 173/4*c_1001_6^3 - 59/8*c_1001_6^2 - 455/8*c_1001_6 - 409/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.950 Total time: 1.149 seconds, Total memory usage: 32.09MB