Magma V2.19-8 Tue Aug 20 2013 23:57:03 on localhost [Seed = 1107569331] Type ? for help. Type -D to quit. Loading file "L14n28586__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n28586 geometric_solution 11.19272594 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 0 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 -1 0 1 0 0 0 0 0 -1 0 1 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179331723518 0.949985975066 0 4 0 5 0132 0132 3012 0132 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 10 -10 0 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808126097271 1.016426502779 6 2 2 0 0132 1230 3012 0132 1 1 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 0 0 -10 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281159649230 0.891178063088 4 4 0 6 0132 1302 0132 3201 1 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 0 -1 1 0 0 0 0 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834625204856 0.932809213911 3 1 7 3 0132 0132 0132 2031 1 1 0 1 0 1 -1 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 -10 10 0 0 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184265336059 1.039362758577 8 9 1 6 0132 0132 0132 2103 1 1 1 1 0 0 0 0 0 0 0 0 -1 0 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 -1 0 1 0 10 0 0 -10 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648347290502 0.945682703086 2 3 7 5 0132 2310 0321 2103 1 1 1 1 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 0 -10 10 0 0 0 0 0 0 0 0 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661140688896 0.399302401644 8 10 6 4 3201 0132 0321 0132 1 1 1 1 0 0 -1 1 1 0 -1 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 10 -10 -9 0 9 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250699191705 1.299655112386 5 9 11 7 0132 3201 0132 2310 1 1 1 1 0 0 0 0 0 0 -1 1 1 0 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 1 0 9 -10 -9 0 0 9 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095076699657 1.265570680134 10 5 8 10 3201 0132 2310 0132 1 1 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 10 0 -10 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426569761441 1.079152868713 11 7 9 9 2310 0132 0132 2310 1 1 1 1 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 0 0 0 0 0 0 0 0 10 0 -10 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072205696156 0.505214001108 11 11 10 8 1302 2031 3201 0132 1 1 1 1 0 1 -1 0 -1 0 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 -9 9 0 9 0 0 -9 9 -9 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030776687066 1.166038148340 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0011_2']), 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0101_10']), '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_11']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : d['c_1001_6'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0011_2'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_5']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_5']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_1001_6']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_0101_4']), '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' : negation(d['1']), 's_1_1' : 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_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], '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' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_1001_10, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 14298945510279214603246733118/51680447477256018826825*c_1001_6^8 + 12016150307050054434520697358/51680447477256018826825*c_1001_6^7 + 156913478992242084418595503621/51680447477256018826825*c_1001_6^6 + 165324796183198000987574763032/51680447477256018826825*c_1001_6^5 - 49901346172699050142477725148/51680447477256018826825*c_1001_6^4 + 24818918030603026137023293862/51680447477256018826825*c_1001_6^3 + 322408373812699848790303120098/51680447477256018826825*c_1001_6^2 + 294622470297172445730351086273/51680447477256018826825*c_1001_6 + 82701777799174083842156707483/51680447477256018826825, c_0011_0 - 1, c_0011_10 + 3988783686370978/58224137472731*c_1001_6^8 - 3402136579721429/58224137472731*c_1001_6^7 - 43634166999925656/58224137472731*c_1001_6^6 - 45790699960581803/58224137472731*c_1001_6^5 + 13770591734548060/58224137472731*c_1001_6^4 - 7090671346484793/58224137472731*c_1001_6^3 - 89489773218239254/58224137472731*c_1001_6^2 - 81793057177247140/58224137472731*c_1001_6 - 23025312200830570/58224137472731, c_0011_11 - 3745608188758073/58224137472731*c_1001_6^8 + 3257602751512406/58224137472731*c_1001_6^7 + 40894835624362522/58224137472731*c_1001_6^6 + 42336053555102863/58224137472731*c_1001_6^5 - 13348229580539952/58224137472731*c_1001_6^4 + 7043144232376852/58224137472731*c_1001_6^3 + 83649820592355105/58224137472731*c_1001_6^2 + 75619764803742907/58224137472731*c_1001_6 + 21026785070143304/58224137472731, c_0011_2 - 282475397813708/58224137472731*c_1001_6^8 + 353353028412043/58224137472731*c_1001_6^7 + 2841281117101867/58224137472731*c_1001_6^6 + 2333231023525215/58224137472731*c_1001_6^5 - 989434458544055/58224137472731*c_1001_6^4 + 1059634971061552/58224137472731*c_1001_6^3 + 5385328933771674/58224137472731*c_1001_6^2 + 4476399887903861/58224137472731*c_1001_6 + 1277418447664602/58224137472731, c_0011_5 + 5255571839596837/58224137472731*c_1001_6^8 - 4544069822331457/58224137472731*c_1001_6^7 - 57413775548271835/58224137472731*c_1001_6^6 - 59681175408280831/58224137472731*c_1001_6^5 + 18536216187725324/58224137472731*c_1001_6^4 - 9767676283518145/58224137472731*c_1001_6^3 - 117568222070735427/58224137472731*c_1001_6^2 - 106597542980673548/58224137472731*c_1001_6 - 29714787206102998/58224137472731, c_0101_0 - 1, c_0101_1 + 1038758711121703/58224137472731*c_1001_6^8 - 894286495862562/58224137472731*c_1001_6^7 - 11306631678103047/58224137472731*c_1001_6^6 - 11962109678950124/58224137472731*c_1001_6^5 + 3335668922726681/58224137472731*c_1001_6^4 - 1763127077725659/58224137472731*c_1001_6^3 - 23125458693158383/58224137472731*c_1001_6^2 - 21635932906063574/58224137472731*c_1001_6 - 6241930646728056/58224137472731, c_0101_10 - 442718062111237/58224137472731*c_1001_6^8 + 385020360392294/58224137472731*c_1001_6^7 + 4832633342706994/58224137472731*c_1001_6^6 + 5015280033479945/58224137472731*c_1001_6^5 - 1598867108668050/58224137472731*c_1001_6^4 + 795802358876797/58224137472731*c_1001_6^3 + 9908235596616031/58224137472731*c_1001_6^2 + 8938641319561744/58224137472731*c_1001_6 + 2483945516401999/58224137472731, c_0101_2 - 824070091114622/58224137472731*c_1001_6^8 + 756912882217734/58224137472731*c_1001_6^7 + 8946975205639185/58224137472731*c_1001_6^6 + 8875195414219083/58224137472731*c_1001_6^5 - 3166757344509214/58224137472731*c_1001_6^4 + 1881202578156555/58224137472731*c_1001_6^3 + 18170213255880142/58224137472731*c_1001_6^2 + 15807620346391933/58224137472731*c_1001_6 + 4205529488870429/58224137472731, c_0101_4 - 824070091114622/58224137472731*c_1001_6^8 + 756912882217734/58224137472731*c_1001_6^7 + 8946975205639185/58224137472731*c_1001_6^6 + 8875195414219083/58224137472731*c_1001_6^5 - 3166757344509214/58224137472731*c_1001_6^4 + 1881202578156555/58224137472731*c_1001_6^3 + 18170213255880142/58224137472731*c_1001_6^2 + 15865844483864664/58224137472731*c_1001_6 + 4263753626343160/58224137472731, c_1001_10 - 4431501748482215/58224137472731*c_1001_6^8 + 3787156940113723/58224137472731*c_1001_6^7 + 48466800342632650/58224137472731*c_1001_6^6 + 50805979994061748/58224137472731*c_1001_6^5 - 15369458843216110/58224137472731*c_1001_6^4 + 7886473705361590/58224137472731*c_1001_6^3 + 99398008814855285/58224137472731*c_1001_6^2 + 90731698496808884/58224137472731*c_1001_6 + 25509257717232569/58224137472731, c_1001_6^9 + 3/11*c_1001_6^8 - 131/11*c_1001_6^7 - 2877/121*c_1001_6^6 - 1135/121*c_1001_6^5 + 260/121*c_1001_6^4 - 2962/121*c_1001_6^3 - 5530/121*c_1001_6^2 - 3475/121*c_1001_6 - 779/121 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.370 seconds, Total memory usage: 32.09MB