Magma V2.19-8 Tue Aug 20 2013 23:49:01 on localhost [Seed = 3616652610] Type ? for help. Type -D to quit. Loading file "L12n1326__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1326 geometric_solution 11.05832667 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 1 -1 0 0 -1 1 -1 4 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850715702648 0.529033566204 0 3 6 5 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649513963054 0.379879434421 7 0 8 6 0132 0132 0132 0321 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 0 0 -1 0 0 1 0 0 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863302880790 0.473949866749 5 1 9 0 0132 0132 0132 0132 1 1 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 1 -1 0 0 -1 1 -1 1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590814140815 0.499738006561 10 10 0 6 0132 1230 0132 0132 1 1 1 0 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 -1 1 0 1 0 -1 0 -1 2 0 -1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595396377136 0.771825930357 3 11 1 9 0132 0132 0132 0132 1 1 0 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 0 0 0 0 0 0 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.078208579506 1.040094034308 8 2 4 1 2031 0321 0132 0132 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 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 0.393236868574 1.015593318051 2 11 11 9 0132 3012 2031 2031 0 1 0 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 1 0 1 0 0 -1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954484903631 1.076983395627 11 10 6 2 2031 1302 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 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 0.846278612003 0.711800801703 10 7 5 3 1302 1302 0132 0132 1 1 0 0 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 0 -1 -1 0 0 1 3 0 0 -3 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.045515096369 1.076983395627 4 9 4 8 0132 2031 3012 2031 0 1 0 1 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 -3 3 0 -1 0 1 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373406874958 0.812266987611 7 5 8 7 1230 0132 1302 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.954484903631 1.076983395627 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_1'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_0011_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_8']), '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_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_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_3']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : negation(d['c_1001_2']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_8'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0101_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' : d['c_0011_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : negation(d['c_0011_10']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_0'], 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_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_0011_10']), 'c_0101_8' : negation(d['c_0011_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), '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' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_10'], '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_0, c_1001_2, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 67224056102386741589/34488543388359846464*c_1100_0^9 + 123943599464863482021/34488543388359846464*c_1100_0^8 + 5751946097770270967745/34488543388359846464*c_1100_0^7 - 57925343481660928588265/34488543388359846464*c_1100_0^6 + 62918443457206088936831/34488543388359846464*c_1100_0^5 - 2306323616910571471117/2463467384882846176*c_1100_0^4 + 3267375415311712998347/34488543388359846464*c_1100_0^3 - 7088734783846260570187/34488543388359846464*c_1100_0^2 + 4587866604530994953685/34488543388359846464*c_1100_0 - 1767695442081897274995/34488543388359846464, c_0011_0 - 1, c_0011_10 - 29813057814909/864981525590887*c_1100_0^9 - 48449129666808/864981525590887*c_1100_0^8 - 2533678458262257/864981525590887*c_1100_0^7 + 26260546762516100/864981525590887*c_1100_0^6 - 33063274843561908/864981525590887*c_1100_0^5 + 16268265864164904/864981525590887*c_1100_0^4 - 2888426684452632/864981525590887*c_1100_0^3 + 2343145869518253/864981525590887*c_1100_0^2 - 2039827127292504/864981525590887*c_1100_0 + 972974941981699/864981525590887, c_0011_6 - 13942367519587/864981525590887*c_1100_0^9 - 17919906354387/864981525590887*c_1100_0^8 - 1179117159567037/864981525590887*c_1100_0^7 + 12678576001276975/864981525590887*c_1100_0^6 - 19804362352260222/864981525590887*c_1100_0^5 + 14379094518067051/864981525590887*c_1100_0^4 - 4566719272825717/864981525590887*c_1100_0^3 + 2656668591505942/864981525590887*c_1100_0^2 - 2122366338408218/864981525590887*c_1100_0 + 1155404618757581/864981525590887, c_0011_8 - 23400067316457/864981525590887*c_1100_0^9 - 47187156748344/864981525590887*c_1100_0^8 - 2018878101248919/864981525590887*c_1100_0^7 + 19791049635413433/864981525590887*c_1100_0^6 - 19226047240926738/864981525590887*c_1100_0^5 + 14610251469398529/864981525590887*c_1100_0^4 - 90055942282321/864981525590887*c_1100_0^3 + 589329831028890/864981525590887*c_1100_0^2 - 1070104864184850/864981525590887*c_1100_0 + 1794260955630875/864981525590887, c_0101_0 - 1, c_0101_1 + 29127179580900/864981525590887*c_1100_0^9 + 48406536092303/864981525590887*c_1100_0^8 + 2479641451659945/864981525590887*c_1100_0^7 - 25558281444384881/864981525590887*c_1100_0^6 + 31579996723173156/864981525590887*c_1100_0^5 - 16657433171169424/864981525590887*c_1100_0^4 + 2752209672003152/864981525590887*c_1100_0^3 - 2987926929113051/864981525590887*c_1100_0^2 + 1462519519659593/864981525590887*c_1100_0 - 850607457677912/864981525590887, c_0101_10 - 685878234009/864981525590887*c_1100_0^9 - 42593574505/864981525590887*c_1100_0^8 - 54037006602312/864981525590887*c_1100_0^7 + 702265318131219/864981525590887*c_1100_0^6 - 1483278120388752/864981525590887*c_1100_0^5 - 389167307004520/864981525590887*c_1100_0^4 - 136217012449480/864981525590887*c_1100_0^3 - 644781059594798/864981525590887*c_1100_0^2 - 577307607632911/864981525590887*c_1100_0 + 122367484303787/864981525590887, c_0101_2 + 42199733659736/864981525590887*c_1100_0^9 + 87251949920789/864981525590887*c_1100_0^8 + 3630901973448609/864981525590887*c_1100_0^7 - 35549626923505028/864981525590887*c_1100_0^6 + 31586183059312482/864981525590887*c_1100_0^5 - 13812445835070404/864981525590887*c_1100_0^4 + 217910997426528/864981525590887*c_1100_0^3 - 4150048037435510/864981525590887*c_1100_0^2 + 2705984035683102/864981525590887*c_1100_0 - 1215353419768667/864981525590887, c_1001_0 + 35792311714887/864981525590887*c_1100_0^9 + 77306167140614/864981525590887*c_1100_0^8 + 3088041996685952/864981525590887*c_1100_0^7 - 29863057364063831/864981525590887*c_1100_0^6 + 24150637494608040/864981525590887*c_1100_0^5 - 10476403632817443/864981525590887*c_1100_0^4 - 826032260351634/864981525590887*c_1100_0^3 - 3101012666738662/864981525590887*c_1100_0^2 + 95799155452704/864981525590887*c_1100_0 - 1057193623749993/864981525590887, c_1001_2 + 13256489285578/864981525590887*c_1100_0^9 + 17877312779882/864981525590887*c_1100_0^8 + 1125080152964725/864981525590887*c_1100_0^7 - 11976310683145756/864981525590887*c_1100_0^6 + 18321084231871470/864981525590887*c_1100_0^5 - 14768261825071571/864981525590887*c_1100_0^4 + 4430502260376237/864981525590887*c_1100_0^3 - 3301449651100740/864981525590887*c_1100_0^2 + 680077205184420/864981525590887*c_1100_0 - 1033037134453794/864981525590887, c_1001_3 + 13942367519587/864981525590887*c_1100_0^9 + 17919906354387/864981525590887*c_1100_0^8 + 1179117159567037/864981525590887*c_1100_0^7 - 12678576001276975/864981525590887*c_1100_0^6 + 19804362352260222/864981525590887*c_1100_0^5 - 14379094518067051/864981525590887*c_1100_0^4 + 4566719272825717/864981525590887*c_1100_0^3 - 2656668591505942/864981525590887*c_1100_0^2 + 2122366338408218/864981525590887*c_1100_0 - 1155404618757581/864981525590887, c_1100_0^10 + 2*c_1100_0^9 + 86*c_1100_0^8 - 848*c_1100_0^7 + 814*c_1100_0^6 - 459*c_1100_0^5 + 81*c_1100_0^4 - 112*c_1100_0^3 + 50*c_1100_0^2 - 38*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB