Magma V2.19-8 Tue Aug 20 2013 23:30:36 on localhost [Seed = 2934491293] Type ? for help. Type -D to quit. Loading file "L14a21827__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a21827 geometric_solution 6.56450513 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 8 1 2 1 3 0132 0132 2310 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828418925493 0.581826140150 0 0 1 1 0132 3201 2031 1302 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 0.568917704434 0.163404154082 4 0 4 3 0132 0132 3120 1230 1 0 1 1 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 -1 0 0 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 0.824268460989 0.984438127155 2 5 0 5 3012 0132 0132 1230 1 1 0 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 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824268460989 0.984438127155 2 6 2 5 0132 0132 3120 1302 1 0 1 1 0 1 0 -1 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 1 -1 0 1 0 0 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824268460989 0.984438127155 3 3 4 6 3012 0132 2031 1230 1 1 1 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 0 0 0 0 0 1 -1 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 0.175731539011 0.984438127155 5 4 7 7 3012 0132 2310 0132 1 1 1 1 0 -1 0 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 -1 0 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 0.171581074507 0.581826140150 7 6 6 7 3201 3201 0132 2310 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 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 -1.028308889430 0.768841823718 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_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_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_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_1100_5' : d['c_0101_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0011_3'], '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_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0110_5' : 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_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0011_3'], 's_3_0' : d['1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0101_7']), 'c_0110_6' : d['c_0101_7'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_6'], 'c_0011_1' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0101_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 4542442196210970797/21414042154631630*c_0101_7^11 + 254513768859175514202/374745737706053525*c_0101_7^10 - 23113834097684079714/374745737706053525*c_0101_7^9 - 239196078794156696251/107070210773158150*c_0101_7^8 + 866116617781267965537/374745737706053525*c_0101_7^7 - 31362080942836463191/374745737706053525*c_0101_7^6 - 120459293283127399533/149898295082421410*c_0101_7^5 - 1409429064527060194089/749491475412107050*c_0101_7^4 + 559818329875743989927/374745737706053525*c_0101_7^3 - 16957685153674088906/19723459879265975*c_0101_7^2 + 96856765563685206763/749491475412107050*c_0101_7 - 30625633919380472227/749491475412107050, c_0011_0 - 1, c_0011_3 - 98288034972743715/4282808430926326*c_0101_7^11 + 1142553690466069928/14989829508242141*c_0101_7^10 - 229373386425520919/14989829508242141*c_0101_7^9 - 1033624446324869047/4282808430926326*c_0101_7^8 + 4181615452806538987/14989829508242141*c_0101_7^7 - 564620823147490080/14989829508242141*c_0101_7^6 - 2615089710595743707/29979659016484282*c_0101_7^5 - 5757104087393429901/29979659016484282*c_0101_7^4 + 2785132880131587249/14989829508242141*c_0101_7^3 - 87812480563162140/788938395170639*c_0101_7^2 + 761393703727742731/29979659016484282*c_0101_7 - 135731337119673621/29979659016484282, c_0011_7 + 963377466816605/4282808430926326*c_0101_7^11 - 12942423438802526/14989829508242141*c_0101_7^10 + 6267841071979040/14989829508242141*c_0101_7^9 + 10597068690091231/4282808430926326*c_0101_7^8 - 52937636465977783/14989829508242141*c_0101_7^7 + 14445005742578683/14989829508242141*c_0101_7^6 - 404231086164153/29979659016484282*c_0101_7^5 + 50768118155180563/29979659016484282*c_0101_7^4 - 28285553777808038/14989829508242141*c_0101_7^3 + 973918005718065/788938395170639*c_0101_7^2 - 56718834397376559/29979659016484282*c_0101_7 - 2199052766678953/29979659016484282, c_0101_0 - 16042885226764775/2141404215463163*c_0101_7^11 + 401499066906641845/14989829508242141*c_0101_7^10 - 154476218579063257/14989829508242141*c_0101_7^9 - 173193311831200470/2141404215463163*c_0101_7^8 + 1672715778209044125/14989829508242141*c_0101_7^7 - 363564759687547976/14989829508242141*c_0101_7^6 - 561242220779205557/14989829508242141*c_0101_7^5 - 839373001802484223/14989829508242141*c_0101_7^4 + 1220264867832261226/14989829508242141*c_0101_7^3 - 33006252994457299/788938395170639*c_0101_7^2 + 132867488727880167/14989829508242141*c_0101_7 - 4796887372654689/14989829508242141, c_0101_1 - 57673038696460785/4282808430926326*c_0101_7^11 + 663313736452386227/14989829508242141*c_0101_7^10 - 110541315042375087/14989829508242141*c_0101_7^9 - 608960581817950405/4282808430926326*c_0101_7^8 + 2385819392945543554/14989829508242141*c_0101_7^7 - 237638670267576757/14989829508242141*c_0101_7^6 - 1617591203481442607/29979659016484282*c_0101_7^5 - 3402675380929867887/29979659016484282*c_0101_7^4 + 1581352216243894739/14989829508242141*c_0101_7^3 - 48445603431321074/788938395170639*c_0101_7^2 + 335250563914658503/29979659016484282*c_0101_7 - 50375446138670511/29979659016484282, c_0101_2 - 1, c_0101_6 - 2118948204294725/4282808430926326*c_0101_7^11 + 26175504503612740/14989829508242141*c_0101_7^10 - 10514678637347324/14989829508242141*c_0101_7^9 - 21216131860932535/4282808430926326*c_0101_7^8 + 103737814667167182/14989829508242141*c_0101_7^7 - 39629204149477930/14989829508242141*c_0101_7^6 - 17082844985196945/29979659016484282*c_0101_7^5 - 110782661161412229/29979659016484282*c_0101_7^4 + 61432284820208724/14989829508242141*c_0101_7^3 - 2207457816785611/788938395170639*c_0101_7^2 + 60844732825813809/29979659016484282*c_0101_7 + 10322052021935539/29979659016484282, c_0101_7^12 - 117/35*c_0101_7^11 + 26/35*c_0101_7^10 + 367/35*c_0101_7^9 - 433/35*c_0101_7^8 + 68/35*c_0101_7^7 + 129/35*c_0101_7^6 + 292/35*c_0101_7^5 - 289/35*c_0101_7^4 + 176/35*c_0101_7^3 - 43/35*c_0101_7^2 + 2/7*c_0101_7 - 1/35 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB