Magma V2.19-8 Tue Aug 20 2013 23:56:31 on localhost [Seed = 1578645066] Type ? for help. Type -D to quit. Loading file "L14n23756__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23756 geometric_solution 11.05171422 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 1 1 1 0 -1 0 1 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 1 0 0 0 -1 1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.078074465062 0.905070168724 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 1 -1 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 0.413878726512 0.512419842209 0 0 8 7 3012 0132 0132 0132 0 0 1 1 0 1 0 -1 -1 0 0 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 0 0 -1 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 0.552349321029 0.542250837224 9 4 10 0 0132 1230 0132 0132 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 0 -1 -1 0 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 0.413038380972 0.737223588155 6 1 3 5 0321 0132 3012 2031 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 -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 0.607223498337 0.890794900946 9 4 1 11 2103 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 1.446211326154 1.777056613544 4 9 7 1 0321 0132 2310 0132 0 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 1 0 -1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205917438097 1.693961951267 10 6 2 8 2031 3201 0132 1302 0 0 0 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 -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 0.605650688402 0.623068784303 9 11 7 2 3012 3012 2031 0132 0 0 1 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 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.003328823417 0.672566212816 3 6 5 8 0132 0132 2103 1230 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 -1 0 1 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687675921497 0.460973092142 11 11 7 3 3120 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336361596518 1.002441838582 8 10 5 10 1230 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159841464897 0.512916471081 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_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' : d['c_0101_8'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_11'], '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_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), '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' : negation(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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_5'], '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_0101_11']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0101_8'], 's_3_1' : negation(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' : negation(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' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_8'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0101_11']), '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' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_3, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_4, c_0101_7, c_0101_8, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1979340728056265/47667707624*c_1001_11^7 + 10822225118686109/47667707624*c_1001_11^6 + 23752965539254485/47667707624*c_1001_11^5 + 26855372742590925/47667707624*c_1001_11^4 + 8377927607464015/23833853812*c_1001_11^3 + 716083095327917/5958463453*c_1001_11^2 + 990930995534255/47667707624*c_1001_11 + 66396443411271/47667707624, c_0011_0 - 1, c_0011_10 - 19115868745/821857028*c_1001_11^7 - 29040149281/821857028*c_1001_11^6 + 57727364043/821857028*c_1001_11^5 + 107528434825/821857028*c_1001_11^4 + 7281828449/410928514*c_1001_11^3 - 10024297135/410928514*c_1001_11^2 + 2164728351/821857028*c_1001_11 + 887816231/821857028, c_0011_3 - 3081135/51764*c_1001_11^7 - 11668491/51764*c_1001_11^6 - 14109173/51764*c_1001_11^5 - 4727675/51764*c_1001_11^4 + 267384/12941*c_1001_11^3 + 193803/25882*c_1001_11^2 - 57935/51764*c_1001_11 - 55037/51764, c_0011_5 + 3081135/51764*c_1001_11^7 + 11668491/51764*c_1001_11^6 + 14109173/51764*c_1001_11^5 + 4727675/51764*c_1001_11^4 - 267384/12941*c_1001_11^3 - 193803/25882*c_1001_11^2 + 57935/51764*c_1001_11 + 55037/51764, c_0011_7 + 25354174009/205464257*c_1001_11^7 + 225385834699/410928514*c_1001_11^6 + 172386017350/205464257*c_1001_11^5 + 180616360001/410928514*c_1001_11^4 - 19254797311/410928514*c_1001_11^3 - 24682482749/410928514*c_1001_11^2 + 3400533573/205464257*c_1001_11 + 624270188/205464257, c_0011_8 - 111319657783/821857028*c_1001_11^7 - 466073148359/821857028*c_1001_11^6 - 653332507881/821857028*c_1001_11^5 - 287111236413/821857028*c_1001_11^4 + 14292479284/205464257*c_1001_11^3 + 9374730108/205464257*c_1001_11^2 - 10789240533/821857028*c_1001_11 - 2003345959/821857028, c_0101_0 - 51640234862/205464257*c_1001_11^7 - 212003783915/205464257*c_1001_11^6 - 291741554780/205464257*c_1001_11^5 - 127669336560/205464257*c_1001_11^4 + 22651924546/205464257*c_1001_11^3 + 16759531857/205464257*c_1001_11^2 - 4278938760/205464257*c_1001_11 - 998360361/205464257, c_0101_11 + 157641759053/821857028*c_1001_11^7 + 662754504053/821857028*c_1001_11^6 + 942954879399/821857028*c_1001_11^5 + 435616050265/821857028*c_1001_11^4 - 18406668778/205464257*c_1001_11^3 - 30442053483/410928514*c_1001_11^2 + 16195921045/821857028*c_1001_11 + 3119618995/821857028, c_0101_4 - 1, c_0101_7 - 118190510857/821857028*c_1001_11^7 - 515111103151/821857028*c_1001_11^6 - 766042462623/821857028*c_1001_11^5 - 379766578963/821857028*c_1001_11^4 + 25498371685/410928514*c_1001_11^3 + 12296593231/205464257*c_1001_11^2 - 14440723457/821857028*c_1001_11 - 2891641955/821857028, c_0101_8 + 101155574267/821857028*c_1001_11^7 + 448050307901/821857028*c_1001_11^6 + 682673260833/821857028*c_1001_11^5 + 356557946185/821857028*c_1001_11^4 - 18350049961/410928514*c_1001_11^3 - 12318714828/205464257*c_1001_11^2 + 10827261087/821857028*c_1001_11 + 2798712233/821857028, c_1001_11^8 + 1568/361*c_1001_11^7 + 2368/361*c_1001_11^6 + 1296/361*c_1001_11^5 - 1/19*c_1001_11^4 - 150/361*c_1001_11^3 + 1/19*c_1001_11^2 + 12/361*c_1001_11 + 1/361 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB