Magma V2.19-8 Tue Aug 20 2013 23:58:00 on localhost [Seed = 1124412392] Type ? for help. Type -D to quit. Loading file "L14n38556__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38556 geometric_solution 10.72985423 oriented_manifold CS_known -0.0000000000000007 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 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824778955083 0.779547704509 0 2 6 5 0132 0213 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 0 0 0 0 0 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 0.317843539563 0.628307804301 7 0 1 8 0132 0132 0213 0132 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 0 0 0 0 0 0 1 0 -1 1 0 3 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.586309356154 0.365827725585 7 7 8 0 3012 0132 2031 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 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402161886003 0.647158258169 9 6 0 10 0132 0132 0132 0132 1 1 1 0 0 1 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 0 0 0 0 -5 -1 6 0 0 0 0 -6 6 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421591752376 0.763044909798 7 8 1 11 2031 2031 0132 0132 1 1 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 -1 0 0 1 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.125195634146 1.895241437596 11 4 11 1 1230 0132 0132 0132 1 1 0 1 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 5 -5 0 -1 0 1 0 -1 1 0 0 5 -6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172796074498 0.847266887020 2 3 5 3 0132 0132 1302 1230 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 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307271938947 1.114736878304 5 9 2 3 1302 0132 0132 1302 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 0 0 0 0 0 -1 1 0 -3 0 4 -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 1.231097406507 1.133134423210 4 8 10 11 0132 0132 1230 1230 1 1 0 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 0 -1 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630903428384 0.832297346347 10 10 4 9 1230 3012 0132 3012 1 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.445257323985 1.004036660574 9 6 5 6 3012 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 1 0 0 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.172796074498 0.847266887020 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : 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_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_1001_9']), 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_1001_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_9'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['1']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0011_10'], 'c_0110_0' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_11'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_5']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0011_11']})} 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_4, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_1001_1, c_1001_9, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 2142833052981343759/1257303651938928*c_1100_1^10 + 14511893767667257549/628651825969464*c_1100_1^9 - 28784121615480439063/186267207694656*c_1100_1^8 + 20141521487631494/39153701169*c_1100_1^7 - 6470281381924326870445/6705619477007616*c_1100_1^6 + 7675945909238737616503/6705619477007616*c_1100_1^5 - 19661233764391566896317/20116858431022848*c_1100_1^4 + 6676509918061099340969/10058429215511424*c_1100_1^3 - 880463679128648457353/2514607303877856*c_1100_1^2 + 202199699465685601877/1676404869251904*c_1100_1 - 388223683244827833151/20116858431022848, c_0011_0 - 1, c_0011_10 + 72486807480/88194700613*c_1100_1^10 - 915730025864/88194700613*c_1100_1^9 + 5728597271634/88194700613*c_1100_1^8 - 74172824526/395491931*c_1100_1^7 + 50448834098195/176389401226*c_1100_1^6 - 23525338742572/88194700613*c_1100_1^5 + 33545747593977/176389401226*c_1100_1^4 - 19599608153341/176389401226*c_1100_1^3 + 7336621183051/176389401226*c_1100_1^2 - 780351758547/176389401226*c_1100_1 - 90302448466/88194700613, c_0011_11 + 7310248525120/970141706743*c_1100_1^10 - 95017094934160/970141706743*c_1100_1^9 + 611211699463312/970141706743*c_1100_1^8 - 8417302322260/4350411241*c_1100_1^7 + 3145111743270892/970141706743*c_1100_1^6 - 3303629156314881/970141706743*c_1100_1^5 + 2600315260129405/970141706743*c_1100_1^4 - 1666205364743389/970141706743*c_1100_1^3 + 776064226267713/970141706743*c_1100_1^2 - 212072627758546/970141706743*c_1100_1 + 24289240349567/970141706743, c_0011_4 + 7310248525120/970141706743*c_1100_1^10 - 95017094934160/970141706743*c_1100_1^9 + 611211699463312/970141706743*c_1100_1^8 - 8417302322260/4350411241*c_1100_1^7 + 3145111743270892/970141706743*c_1100_1^6 - 3303629156314881/970141706743*c_1100_1^5 + 2600315260129405/970141706743*c_1100_1^4 - 1666205364743389/970141706743*c_1100_1^3 + 776064226267713/970141706743*c_1100_1^2 - 212072627758546/970141706743*c_1100_1 + 24289240349567/970141706743, c_0011_5 + 9650479184144/970141706743*c_1100_1^10 - 123903235813296/970141706743*c_1100_1^9 + 787458315110364/970141706743*c_1100_1^8 - 10565813770916/4350411241*c_1100_1^7 + 3798605899609501/970141706743*c_1100_1^6 - 3821734786306408/970141706743*c_1100_1^5 + 2930894188765225/970141706743*c_1100_1^4 - 1838768440722472/970141706743*c_1100_1^3 + 809082846208146/970141706743*c_1100_1^2 - 198260751720219/970141706743*c_1100_1 + 19267083657546/970141706743, c_0101_0 - 1, c_0101_10 - 1665215536632/970141706743*c_1100_1^10 + 22602639892936/970141706743*c_1100_1^9 - 151826064184706/970141706743*c_1100_1^8 + 2283399029166/4350411241*c_1100_1^7 - 1940365035645147/1940283413486*c_1100_1^6 + 1176584088592540/970141706743*c_1100_1^5 - 2042184549063797/1940283413486*c_1100_1^4 + 1394668401857657/1940283413486*c_1100_1^3 - 751352139709855/1940283413486*c_1100_1^2 + 267922586106137/1940283413486*c_1100_1 - 22044521116736/970141706743, c_0101_11 - 7940675973776/970141706743*c_1100_1^10 + 106095804983712/970141706743*c_1100_1^9 - 700190216782844/970141706743*c_1100_1^8 + 10155756969696/4350411241*c_1100_1^7 - 4061384007578933/970141706743*c_1100_1^6 + 4557156738894379/970141706743*c_1100_1^5 - 3721222258921476/970141706743*c_1100_1^4 + 2462674142000111/970141706743*c_1100_1^3 - 1231594754516020/970141706743*c_1100_1^2 + 378947733050063/970141706743*c_1100_1 - 51112017845723/970141706743, c_0101_3 + 45826672/18997429*c_1100_1^10 - 565651808/18997429*c_1100_1^9 + 3451281956/18997429*c_1100_1^8 - 9382146064/18997429*c_1100_1^7 + 12796799427/18997429*c_1100_1^6 - 10145605381/18997429*c_1100_1^5 + 6473435460/18997429*c_1100_1^4 - 3379150449/18997429*c_1100_1^3 + 646574499/18997429*c_1100_1^2 + 270465781/18997429*c_1100_1 - 98344463/18997429, c_1001_1 - 7940675973776/970141706743*c_1100_1^10 + 106095804983712/970141706743*c_1100_1^9 - 700190216782844/970141706743*c_1100_1^8 + 10155756969696/4350411241*c_1100_1^7 - 4061384007578933/970141706743*c_1100_1^6 + 4557156738894379/970141706743*c_1100_1^5 - 3721222258921476/970141706743*c_1100_1^4 + 2462674142000111/970141706743*c_1100_1^3 - 1231594754516020/970141706743*c_1100_1^2 + 378947733050063/970141706743*c_1100_1 - 51112017845723/970141706743, c_1001_9 - 1552993580576/970141706743*c_1100_1^10 + 22322310142272/970141706743*c_1100_1^9 - 156829094952616/970141706743*c_1100_1^8 + 2544302852832/4350411241*c_1100_1^7 - 1153754357318014/970141706743*c_1100_1^6 + 1437612077521578/970141706743*c_1100_1^5 - 1236554352743925/970141706743*c_1100_1^4 + 850447417321582/970141706743*c_1100_1^3 - 461941857857559/970141706743*c_1100_1^2 + 159444007752860/970141706743*c_1100_1 - 24160072671102/970141706743, c_1100_1^11 - 14*c_1100_1^10 + 387/4*c_1100_1^9 - 342*c_1100_1^8 + 11145/16*c_1100_1^7 - 14547/16*c_1100_1^6 + 13579/16*c_1100_1^5 - 4979/8*c_1100_1^4 + 725/2*c_1100_1^3 - 609/4*c_1100_1^2 + 625/16*c_1100_1 - 9/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB