Magma V2.19-8 Wed Aug 21 2013 01:05:04 on localhost [Seed = 2816589631] Type ? for help. Type -D to quit. Loading file "L14n25000__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25000 geometric_solution 11.86865475 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 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 0 0 0 0 1 0 -1 -3 0 1 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 0.413904288808 0.647660038142 0 4 6 5 0132 2103 0132 0132 1 0 1 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 0 0 0 0 0 0 0 3 0 0 -3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468591588244 0.560710502409 7 0 8 4 0132 0132 0132 2103 1 0 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768174894678 0.848865077984 9 10 7 0 0132 0132 3120 0132 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 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 0.264566147829 0.539370006507 11 1 0 2 0132 2103 0132 2103 1 0 1 1 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 -1 1 0 2 0 -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 -0.700606129059 1.096279030051 9 10 1 12 2103 0213 0132 0132 1 0 1 1 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 0 0 0 0 0 3 -3 -1 1 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520627068238 1.182098934113 9 10 8 1 3120 2310 3120 0132 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 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 -0.085068087274 0.952396446186 2 8 3 11 0132 3120 3120 2103 1 0 1 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 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760176664273 0.394596480342 12 7 6 2 3120 3120 3120 0132 1 0 1 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 1 -1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488812792684 0.553810052784 3 12 5 6 0132 0132 2103 3120 1 0 1 1 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 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774579565995 1.422656457066 11 3 5 6 1230 0132 0213 3201 1 1 1 1 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 1 0 -1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341359837071 1.075176555550 4 10 12 7 0132 3012 2103 2103 1 0 1 1 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 0 0 0 0 0 -2 0 2 -2 0 3 -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 0.416245781851 0.841825500117 11 9 5 8 2103 0132 0132 3120 1 0 1 1 0 0 0 0 1 0 -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 -3 0 3 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163055844184 0.819002407401 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_1001_3'], 'c_1010_12' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_0_11' : 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_0011_5'], 's_2_0' : negation(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' : 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' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_1001_0']), '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_0']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_0101_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_8']), 's_1_7' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_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_5, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0101_8, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 4844740381/238257297600*c_1001_3^8 - 6862300999/158838198400*c_1001_3^7 + 52973744101/317676396800*c_1001_3^6 + 5755172687/190605838080*c_1001_3^5 - 13307270769/79419099200*c_1001_3^4 + 19252835417/23825729760*c_1001_3^3 + 2026657033/27229405440*c_1001_3^2 - 300340883/280715520*c_1001_3 - 387744323921/476514595200, c_0011_0 - 1, c_0011_10 + 1097/85584*c_1001_3^8 - 5513/171168*c_1001_3^7 - 5765/342336*c_1001_3^6 + 40771/342336*c_1001_3^5 - 1839/14264*c_1001_3^4 - 21133/42792*c_1001_3^3 - 28489/342336*c_1001_3^2 + 316135/342336*c_1001_3 - 122927/171168, c_0011_11 + 4823/85584*c_1001_3^8 - 9501/57056*c_1001_3^7 + 34391/114112*c_1001_3^6 + 178445/342336*c_1001_3^5 - 9737/7132*c_1001_3^4 + 29905/21396*c_1001_3^3 + 896593/342336*c_1001_3^2 - 839615/342336*c_1001_3 - 393145/171168, c_0011_5 - 185/14264*c_1001_3^8 - 377/85584*c_1001_3^7 - 7349/171168*c_1001_3^6 - 35707/171168*c_1001_3^5 + 3439/14264*c_1001_3^4 - 9215/14264*c_1001_3^3 - 113033/171168*c_1001_3^2 + 97931/57056*c_1001_3 + 42587/85584, c_0011_6 + 385/28528*c_1001_3^8 - 8275/171168*c_1001_3^7 + 54809/342336*c_1001_3^6 + 30457/342336*c_1001_3^5 - 6783/14264*c_1001_3^4 + 11733/14264*c_1001_3^3 + 418157/342336*c_1001_3^2 - 240137/114112*c_1001_3 - 299021/171168, c_0101_0 - 1, c_0101_1 - 375/28528*c_1001_3^8 - 833/57056*c_1001_3^7 - 10941/114112*c_1001_3^6 - 10537/114112*c_1001_3^5 - 7333/14264*c_1001_3^4 - 11243/14264*c_1001_3^3 - 65001/114112*c_1001_3^2 - 248205/114112*c_1001_3 - 96035/57056, c_0101_11 + 1, c_0101_2 - 375/28528*c_1001_3^8 - 833/57056*c_1001_3^7 - 10941/114112*c_1001_3^6 - 10537/114112*c_1001_3^5 - 7333/14264*c_1001_3^4 - 11243/14264*c_1001_3^3 - 65001/114112*c_1001_3^2 - 248205/114112*c_1001_3 - 96035/57056, c_0101_7 + 3325/42792*c_1001_3^8 - 7829/85584*c_1001_3^7 + 28543/171168*c_1001_3^6 + 55233/57056*c_1001_3^5 - 2021/7132*c_1001_3^4 + 13153/21396*c_1001_3^3 + 235857/57056*c_1001_3^2 + 317903/171168*c_1001_3 - 4613/28528, c_0101_8 - 609/28528*c_1001_3^8 - 12845/171168*c_1001_3^7 + 46087/342336*c_1001_3^6 - 152953/342336*c_1001_3^5 - 1929/1783*c_1001_3^4 + 1396/1783*c_1001_3^3 - 518549/342336*c_1001_3^2 - 491807/114112*c_1001_3 - 194299/171168, c_1001_0 - 2353/85584*c_1001_3^8 + 6793/171168*c_1001_3^7 + 4837/342336*c_1001_3^6 - 97535/342336*c_1001_3^5 + 6103/14264*c_1001_3^4 + 2381/42792*c_1001_3^3 - 44527/342336*c_1001_3^2 + 407605/342336*c_1001_3 - 57893/171168, c_1001_3^9 - 3/2*c_1001_3^8 + 5/4*c_1001_3^7 + 14*c_1001_3^6 - 43/4*c_1001_3^5 - 4*c_1001_3^4 + 215/4*c_1001_3^3 - 277/4*c_1001_3 - 97/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.380 seconds, Total memory usage: 32.09MB