Magma V2.19-8 Tue Aug 20 2013 23:52:54 on localhost [Seed = 4004021540] Type ? for help. Type -D to quit. Loading file "L13n4430__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4430 geometric_solution 11.21728714 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 2 0132 0132 0321 0213 0 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 -1 0 1 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 0.674447938346 0.528072853162 0 3 5 4 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 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 0.281282909723 0.870211371039 6 0 0 0 0132 0132 0321 0213 0 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 1 0 -1 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 0.674447938346 0.528072853162 7 1 8 9 0132 0132 0132 0132 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 1 -7 6 -1 0 1 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 0.249673292996 1.240578432373 10 7 1 11 0132 1230 0132 0132 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 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 0.804714443358 1.532468779038 6 8 9 1 2310 0132 2310 0132 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 0 0 0 0 0 0 0 0 7 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020382437364 0.631368032347 2 8 5 10 0132 0213 3201 0213 1 1 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 7 -7 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 0.900258439753 0.851560017724 3 8 4 10 0132 2031 3012 0321 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 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 0.763610818784 0.688559748856 7 5 6 3 1302 0132 0213 0132 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 -7 7 0 0 1 -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 0.272137453670 0.800550795524 11 5 3 10 3201 3201 0132 0132 1 1 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 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 0 0.076611828409 0.608870523152 4 7 9 6 0132 0321 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939175974880 0.907143216925 11 11 4 9 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943116792929 1.328946067433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_1010_6'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : d['c_1010_6'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_6'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_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_11, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_10, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 18261316594226926/128910437312631*c_1010_6^6 - 80596613922547603/128910437312631*c_1010_6^5 - 110228285539118/87160539089*c_1010_6^4 - 4802485726695271/42970145770877*c_1010_6^3 + 268683165973994/1481729164513*c_1010_6^2 + 25217267736587287/128910437312631*c_1010_6 + 551115760921417/42970145770877, c_0011_0 - 1, c_0011_10 - 42697116/44997697*c_1010_6^6 + 214319135/44997697*c_1010_6^5 + 258747485/44997697*c_1010_6^4 - 166084491/44997697*c_1010_6^3 + 21240286/44997697*c_1010_6^2 - 6601183/44997697*c_1010_6 + 45958783/44997697, c_0011_11 - 51530655/44997697*c_1010_6^6 + 260486767/44997697*c_1010_6^5 + 316628170/44997697*c_1010_6^4 - 272714557/44997697*c_1010_6^3 - 73223795/44997697*c_1010_6^2 + 20231077/44997697*c_1010_6 + 50409659/44997697, c_0011_5 - 5414926/44997697*c_1010_6^6 + 55298171/44997697*c_1010_6^5 - 104086862/44997697*c_1010_6^4 - 214186618/44997697*c_1010_6^3 + 94702406/44997697*c_1010_6^2 + 16698656/44997697*c_1010_6 + 29944096/44997697, c_0011_9 + 109440925/44997697*c_1010_6^6 - 584386775/44997697*c_1010_6^5 - 484571441/44997697*c_1010_6^4 + 602761786/44997697*c_1010_6^3 - 104243329/44997697*c_1010_6^2 + 72517824/44997697*c_1010_6 - 109180216/44997697, c_0101_0 + 104377823/44997697*c_1010_6^6 - 542467042/44997697*c_1010_6^5 - 560191971/44997697*c_1010_6^4 + 598474363/44997697*c_1010_6^3 + 132610641/44997697*c_1010_6^2 - 32062405/44997697*c_1010_6 - 146808263/44997697, c_0101_1 - 104377823/44997697*c_1010_6^6 + 542467042/44997697*c_1010_6^5 + 560191971/44997697*c_1010_6^4 - 598474363/44997697*c_1010_6^3 - 132610641/44997697*c_1010_6^2 + 32062405/44997697*c_1010_6 + 191805960/44997697, c_0101_10 + 56429769/44997697*c_1010_6^6 - 287628118/44997697*c_1010_6^5 - 323269494/44997697*c_1010_6^4 + 247602617/44997697*c_1010_6^3 + 42461579/44997697*c_1010_6^2 + 31192110/44997697*c_1010_6 - 86841195/44997697, c_0101_5 - 11419540/44997697*c_1010_6^6 + 84983221/44997697*c_1010_6^5 - 68781822/44997697*c_1010_6^4 - 217779085/44997697*c_1010_6^3 + 108064207/44997697*c_1010_6^2 + 7304701/44997697*c_1010_6 + 13807285/44997697, c_1001_0 - 1, c_1001_10 + 36692502/44997697*c_1010_6^6 - 184634085/44997697*c_1010_6^5 - 223442445/44997697*c_1010_6^4 + 162492024/44997697*c_1010_6^3 - 7878485/44997697*c_1010_6^2 - 2792772/44997697*c_1010_6 - 17097897/44997697, c_1010_6^7 - 56/11*c_1010_6^6 - 64/11*c_1010_6^5 + 52/11*c_1010_6^4 + 9/11*c_1010_6^3 + 2/11*c_1010_6^2 - 12/11*c_1010_6 - 1/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.300 Total time: 0.510 seconds, Total memory usage: 32.09MB