Magma V2.19-8 Tue Aug 20 2013 23:43:58 on localhost [Seed = 2665020298] Type ? for help. Type -D to quit. Loading file "L14n15035__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15035 geometric_solution 9.63789788 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 0 1 1 1 0 -1 -1 2 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 -1 0 1 0 0 1 -1 -1 -4 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384968091310 0.650504961766 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 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 0.428877050170 0.176587638323 0 0 5 7 3012 0132 0213 0132 0 0 1 1 0 1 0 -1 -2 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 1 0 -1 -1 0 0 1 1 -1 0 0 -5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767426788168 0.811689485443 5 4 8 0 0132 1230 0132 0132 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 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 0.736583315538 0.408251085420 7 1 3 9 1023 0132 3012 0132 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 0 0 0.955600144258 1.570293918135 3 2 1 9 0132 0213 0132 2310 0 1 0 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 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 0.843229635595 0.815693398445 7 9 8 1 0321 0132 3120 0132 0 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 1 -1 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 1.002525856309 0.858801084258 6 4 2 8 0321 1023 0132 2310 0 0 1 1 0 0 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 1 -1 0 0 -1 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 0.908829816331 0.579328370320 7 10 6 3 3201 0132 3120 0132 0 1 0 0 0 -1 0 1 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 1 0 0 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.789834984695 0.686871361998 5 6 4 10 3201 0132 0132 3012 0 0 0 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 -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 0.407326852729 1.331245115683 10 8 9 10 3012 0132 1230 1230 0 0 0 0 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 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 0.993965018744 0.553475718207 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : negation(d['c_0101_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0101_10'], 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_10' : 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' : negation(d['c_1001_10']), 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_1001_10'], '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'], '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_6']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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_10' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : negation(d['c_0011_6']), 'c_0110_6' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_0101_6, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 1 Groebner basis: [ t - 59049/64, c_0011_0 - 1, c_0011_10 + 1/9, c_0011_3 - 1/3, c_0011_6 + 1/3, c_0101_0 - 1, c_0101_10 + 1/3, c_0101_3 + 2/3, c_0101_4 - 1, c_0101_6 + 2/3, c_1001_1 - 2/3, c_1001_10 + 8/9 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_10, c_0101_3, c_0101_4, c_0101_6, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1635393179905873/435697999445*c_1001_10^8 - 946563177539406228/21349201972805*c_1001_10^7 - 1979271908175867961/8539680789122*c_1001_10^6 - 14880459935605802579/21349201972805*c_1001_10^5 - 11000740219830598327/8539680789122*c_1001_10^4 - 61804983602395703927/42698403945610*c_1001_10^3 - 2892986046695677991/3049885996115*c_1001_10^2 - 7041940578804608994/21349201972805*c_1001_10 - 990742101326404724/21349201972805, c_0011_0 - 1, c_0011_10 + 6111931872/533290085*c_1001_10^8 + 694770450943/5226242833*c_1001_10^7 + 3559622315166/5226242833*c_1001_10^6 + 52309561170966/26131214165*c_1001_10^5 + 93955023200891/26131214165*c_1001_10^4 + 20332639811725/5226242833*c_1001_10^3 + 9103241855849/3733030595*c_1001_10^2 + 21156303481209/26131214165*c_1001_10 + 572650794833/5226242833, c_0011_3 - 41318760/1807763*c_1001_10^8 - 485510642/1807763*c_1001_10^7 - 2523439116/1807763*c_1001_10^6 - 7539087363/1807763*c_1001_10^5 - 13820457402/1807763*c_1001_10^4 - 15361874087/1807763*c_1001_10^3 - 9933507080/1807763*c_1001_10^2 - 3400738364/1807763*c_1001_10 - 470781688/1807763, c_0011_6 + 12387409077/533290085*c_1001_10^8 + 1446249042417/5226242833*c_1001_10^7 + 7632911917759/5226242833*c_1001_10^6 + 116050630813931/26131214165*c_1001_10^5 + 217518105729426/26131214165*c_1001_10^4 + 49825238994397/5226242833*c_1001_10^3 + 23902629170794/3733030595*c_1001_10^2 + 59962531284329/26131214165*c_1001_10 + 1754015255331/5226242833, c_0101_0 - 35650438042/533290085*c_1001_10^8 - 4095526518700/5226242833*c_1001_10^7 - 21233696619265/5226242833*c_1001_10^6 - 316369051570331/26131214165*c_1001_10^5 - 578289059657011/26131214165*c_1001_10^4 - 128158757629880/5226242833*c_1001_10^3 - 59084531020519/3733030595*c_1001_10^2 - 141821817322574/26131214165*c_1001_10 - 3959442408823/5226242833, c_0101_10 + 1549556582/533290085*c_1001_10^8 + 25184846924/746606119*c_1001_10^7 + 18524218277/106658017*c_1001_10^6 + 1925839424248/3733030595*c_1001_10^5 + 3528845586043/3733030595*c_1001_10^4 + 793692766406/746606119*c_1001_10^3 + 2673819351109/3733030595*c_1001_10^2 + 141454674361/533290085*c_1001_10 + 30604324294/746606119, c_0101_3 + 23461403842/533290085*c_1001_10^8 + 2691915252678/5226242833*c_1001_10^7 + 13938434134909/5226242833*c_1001_10^6 + 207391543738166/26131214165*c_1001_10^5 + 378514347911101/26131214165*c_1001_10^4 + 83747579644363/5226242833*c_1001_10^3 + 38571838900319/3733030595*c_1001_10^2 + 92664144270954/26131214165*c_1001_10 + 2598412548815/5226242833, c_0101_4 - 1, c_0101_6 + 6615282533/533290085*c_1001_10^8 + 769359842989/5226242833*c_1001_10^7 + 4047044159135/5226242833*c_1001_10^6 + 61366539181204/26131214165*c_1001_10^5 + 114796394280024/26131214165*c_1001_10^4 + 26287414622379/5226242833*c_1001_10^3 + 12662484090331/3733030595*c_1001_10^2 + 32052612450346/26131214165*c_1001_10 + 951818898230/5226242833, c_1001_1 - 6615282533/533290085*c_1001_10^8 - 769359842989/5226242833*c_1001_10^7 - 4047044159135/5226242833*c_1001_10^6 - 61366539181204/26131214165*c_1001_10^5 - 114796394280024/26131214165*c_1001_10^4 - 26287414622379/5226242833*c_1001_10^3 - 12662484090331/3733030595*c_1001_10^2 - 32052612450346/26131214165*c_1001_10 - 951818898230/5226242833, c_1001_10^9 + 615/49*c_1001_10^8 + 3455/49*c_1001_10^7 + 11353/49*c_1001_10^6 + 23628/49*c_1001_10^5 + 31560/49*c_1001_10^4 + 26724/49*c_1001_10^3 + 13792/49*c_1001_10^2 + 3940/49*c_1001_10 + 475/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.270 seconds, Total memory usage: 32.09MB