Magma V2.19-8 Tue Aug 20 2013 23:47:44 on localhost [Seed = 3035815642] Type ? for help. Type -D to quit. Loading file "L11n144__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n144 geometric_solution 10.52718003 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 0321 1 0 1 1 0 0 0 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 1 0 -1 1 0 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952951232751 0.798987482973 0 2 5 4 0132 3012 0132 0132 1 0 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 0 0 0 -1 0 0 1 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815083848177 0.513221286976 1 0 6 5 1230 0132 0132 3201 1 1 1 1 0 0 0 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 -1 1 0 0 0 0 0 -2 0 0 2 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366677773626 1.140316650364 7 0 8 0 0132 0321 0132 0132 1 0 1 0 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 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 0.383800161285 0.516643392886 7 6 1 9 2103 2031 0132 0132 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 0 0 0 0 0 0 0 1 0 -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 0.644812493119 0.417665037293 10 2 6 1 0132 2310 2310 0132 1 0 1 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 0 0 0 0 -2 2 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 1.017923320434 0.884708735325 4 5 11 2 1302 3201 0132 0132 1 1 1 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 1 -1 0 0 0 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500881122146 0.225674585841 3 10 4 8 0132 0213 2103 2310 0 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 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 0.181586327935 1.389427522536 7 9 11 3 3201 2031 1302 0132 1 0 0 0 0 0 0 0 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 -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 0.286037925397 0.571380129097 8 11 4 10 1302 0213 0132 2031 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 -1 1 0 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 1.286037925397 0.571380129097 5 9 7 11 0132 1302 0213 3201 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 0 0 0 -1 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 0.576282794935 0.554821113049 8 10 9 6 2031 2310 0213 0132 1 1 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 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 0.421561878781 0.795203098869 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_11' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_3']), '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_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_0011_6'], 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_9'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0011_4']), 'c_0110_10' : d['c_0101_5'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_8']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 678777/1976*c_1001_0^11 - 160373/1976*c_1001_0^10 - 649827/1976*c_1001_0^9 - 845419/1976*c_1001_0^8 - 67273/1976*c_1001_0^7 - 3467497/1976*c_1001_0^6 - 1092901/494*c_1001_0^5 - 4324455/1976*c_1001_0^4 - 1907115/988*c_1001_0^3 - 1448893/1976*c_1001_0^2 - 975425/1976*c_1001_0 - 12183/1976, c_0011_0 - 1, c_0011_10 + 3*c_1001_0^11 + c_1001_0^10 + c_1001_0^9 + 4*c_1001_0^8 + 4*c_1001_0^7 + 13*c_1001_0^6 + 16*c_1001_0^5 + 18*c_1001_0^4 + 17*c_1001_0^3 + 10*c_1001_0^2 + 6*c_1001_0 + 2, c_0011_11 + 15036/72361*c_1001_0^11 + 239144/72361*c_1001_0^10 - 240692/72361*c_1001_0^9 - 27122/72361*c_1001_0^8 + 476389/72361*c_1001_0^7 - 52668/72361*c_1001_0^6 + 562574/72361*c_1001_0^5 + 280687/72361*c_1001_0^4 - 51155/72361*c_1001_0^3 + 173582/72361*c_1001_0^2 - 146099/72361*c_1001_0 + 91955/72361, c_0011_3 - 2733/269*c_1001_0^11 - 5/269*c_1001_0^10 - 105/269*c_1001_0^9 - 3396/269*c_1001_0^8 - 2225/269*c_1001_0^7 - 10136/269*c_1001_0^6 - 10470/269*c_1001_0^5 - 9346/269*c_1001_0^4 - 8264/269*c_1001_0^3 - 2101/269*c_1001_0^2 - 1740/269*c_1001_0 + 520/269, c_0011_4 - 3306/269*c_1001_0^11 - 472/269*c_1001_0^10 + 848/269*c_1001_0^9 - 4884/269*c_1001_0^8 - 3986/269*c_1001_0^7 - 10604/269*c_1001_0^6 - 14319/269*c_1001_0^5 - 11617/269*c_1001_0^4 - 10405/269*c_1001_0^3 - 4762/269*c_1001_0^2 - 2587/269*c_1001_0 - 677/269, c_0011_6 + 2874/269*c_1001_0^11 + 1210/269*c_1001_0^10 - 683/269*c_1001_0^9 + 3803/269*c_1001_0^8 + 4485/269*c_1001_0^7 + 10392/269*c_1001_0^6 + 14555/269*c_1001_0^5 + 12892/269*c_1001_0^4 + 10902/269*c_1001_0^3 + 5412/269*c_1001_0^2 + 2516/269*c_1001_0 + 590/269, c_0011_8 + 16671/72361*c_1001_0^11 - 758243/72361*c_1001_0^10 + 200219/72361*c_1001_0^9 + 214472/72361*c_1001_0^8 - 1176205/72361*c_1001_0^7 - 400796/72361*c_1001_0^6 - 2089501/72361*c_1001_0^5 - 2241278/72361*c_1001_0^4 - 1436673/72361*c_1001_0^3 - 1475513/72361*c_1001_0^2 - 277616/72361*c_1001_0 - 342246/72361, c_0011_9 + 906/269*c_1001_0^11 + 806/269*c_1001_0^10 + 248/269*c_1001_0^9 + 1419/269*c_1001_0^8 + 1707/269*c_1001_0^7 + 4106/269*c_1001_0^6 + 7052/269*c_1001_0^5 + 7223/269*c_1001_0^4 + 7009/269*c_1001_0^3 + 4637/269*c_1001_0^2 + 2073/269*c_1001_0 + 911/269, c_0101_0 - 1, c_0101_2 + 6*c_1001_0^11 - c_1001_0^10 + c_1001_0^9 + 7*c_1001_0^8 + 4*c_1001_0^7 + 22*c_1001_0^6 + 19*c_1001_0^5 + 20*c_1001_0^4 + 16*c_1001_0^3 + 3*c_1001_0^2 + 4*c_1001_0 - 1, c_0101_5 + 2424/269*c_1001_0^11 + 163/269*c_1001_0^10 - 343/269*c_1001_0^9 + 3809/269*c_1001_0^8 + 2326/269*c_1001_0^7 + 8064/269*c_1001_0^6 + 10452/269*c_1001_0^5 + 8672/269*c_1001_0^4 + 8315/269*c_1001_0^3 + 3825/269*c_1001_0^2 + 2386/269*c_1001_0 + 533/269, c_1001_0^12 + 1/3*c_1001_0^11 + 1/3*c_1001_0^10 + 4/3*c_1001_0^9 + 4/3*c_1001_0^8 + 13/3*c_1001_0^7 + 16/3*c_1001_0^6 + 6*c_1001_0^5 + 17/3*c_1001_0^4 + 10/3*c_1001_0^3 + 7/3*c_1001_0^2 + 2/3*c_1001_0 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB