Magma V2.19-8 Tue Aug 20 2013 23:42:04 on localhost [Seed = 3869279148] Type ? for help. Type -D to quit. Loading file "L12n739__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n739 geometric_solution 10.77333069 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 3201 0132 0132 1 1 1 1 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 1 0 -1 1 0 0 -1 -1 0 0 1 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.006198851906 0.972371302482 0 4 0 4 0132 0132 2310 2310 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 0 -1 0 5 -4 -5 0 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006555855088 1.028371938449 5 5 6 0 0132 0213 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.521277724214 1.085833792660 7 7 0 8 0132 0213 0132 0132 1 1 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 0 0 0 -5 1 4 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 0.348826903076 0.882221735582 1 1 5 9 3201 0132 0213 0132 1 1 1 1 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 -5 0 5 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.006198851906 0.972371302482 2 4 2 7 0132 0213 0213 2103 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 -5 0 5 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640687811068 0.748455763087 8 9 8 2 1302 3012 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 -4 0 0 4 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348826903076 0.882221735582 3 10 3 5 0132 0132 0213 2103 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 5 -5 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 0.612412570724 0.980251384085 10 6 3 6 0213 2031 0132 0132 1 1 0 1 0 1 -1 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 4 -4 0 -1 0 1 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348826903076 0.882221735582 6 10 4 10 1230 2310 0132 3012 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 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 0.348826903076 0.882221735582 8 7 9 9 0213 0132 1230 3201 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 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 0.541587433034 0.733752987336 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_9']), 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_8'], '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_2_10' : 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_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_1100_0'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_10' : d['c_0011_6'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_9']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_0011_6'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : negation(d['c_0011_2']), '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_0011_2'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_6, c_0011_8, c_0101_1, c_0101_2, c_0101_9, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 937324836668/17160909301*c_1100_0^10 + 1992606201231/17160909301*c_1100_0^9 + 807094319311/2018930506*c_1100_0^8 + 35287774844447/34321818602*c_1100_0^7 - 260891640943669/137287274408*c_1100_0^6 - 29811611685291/137287274408*c_1100_0^5 + 52871097630405/137287274408*c_1100_0^4 - 143360314158325/137287274408*c_1100_0^3 + 55983073441139/34321818602*c_1100_0^2 + 16577597174933/34321818602*c_1100_0 - 17981429245808/17160909301, c_0011_0 - 1, c_0011_10 + 165764772423/1916677613902*c_1100_0^10 - 783302845935/3833355227804*c_1100_0^9 - 1126981405289/1916677613902*c_1100_0^8 - 23309659964051/15333420911216*c_1100_0^7 + 52963995732211/15333420911216*c_1100_0^6 - 794077913805/7666710455608*c_1100_0^5 + 1486482874621/7666710455608*c_1100_0^4 + 13878787429677/15333420911216*c_1100_0^3 - 43280067000009/15333420911216*c_1100_0^2 - 42100841833/3833355227804*c_1100_0 + 3855094784915/3833355227804, c_0011_2 + 1327533988323/3833355227804*c_1100_0^10 - 4919728046483/7666710455608*c_1100_0^9 - 10292840813963/3833355227804*c_1100_0^8 - 223164378647167/30666841822432*c_1100_0^7 + 301515999130163/30666841822432*c_1100_0^6 + 51755726835001/15333420911216*c_1100_0^5 - 18990187877557/15333420911216*c_1100_0^4 + 223310507192321/30666841822432*c_1100_0^3 - 240010377898285/30666841822432*c_1100_0^2 - 16167890127887/3833355227804*c_1100_0 + 41023107364365/7666710455608, c_0011_6 - 1, c_0011_8 - 17895603015/3833355227804*c_1100_0^10 - 341082092297/7666710455608*c_1100_0^9 + 630191347795/3833355227804*c_1100_0^8 + 12182986469859/30666841822432*c_1100_0^7 + 26497277078217/30666841822432*c_1100_0^6 - 27574622667471/15333420911216*c_1100_0^5 + 25503885201635/15333420911216*c_1100_0^4 - 28911990076289/30666841822432*c_1100_0^3 - 13541400911003/30666841822432*c_1100_0^2 + 1124593755171/1916677613902*c_1100_0 - 4589789413337/7666710455608, c_0101_1 + 3551633/237521236*c_1100_0^10 - 20188301/475042472*c_1100_0^9 - 7390349/59380309*c_1100_0^8 - 299263213/1900169888*c_1100_0^7 + 1953385959/1900169888*c_1100_0^6 + 654122603/950084944*c_1100_0^5 - 398733005/950084944*c_1100_0^4 + 701388331/1900169888*c_1100_0^3 - 1056270361/1900169888*c_1100_0^2 - 58776349/59380309*c_1100_0 + 102564289/475042472, c_0101_2 + 22044564690/958338806951*c_1100_0^10 - 33333690936/958338806951*c_1100_0^9 - 380729697111/1916677613902*c_1100_0^8 - 2024008270539/3833355227804*c_1100_0^7 + 3873396762649/7666710455608*c_1100_0^6 + 2189548230895/3833355227804*c_1100_0^5 - 340038242937/1916677613902*c_1100_0^4 + 3340688010871/3833355227804*c_1100_0^3 - 8933120585325/7666710455608*c_1100_0^2 + 854826200211/3833355227804*c_1100_0 + 372346054540/958338806951, c_0101_9 + 3551633/237521236*c_1100_0^10 - 20188301/475042472*c_1100_0^9 - 7390349/59380309*c_1100_0^8 - 299263213/1900169888*c_1100_0^7 + 1953385959/1900169888*c_1100_0^6 + 654122603/950084944*c_1100_0^5 - 398733005/950084944*c_1100_0^4 + 701388331/1900169888*c_1100_0^3 - 1056270361/1900169888*c_1100_0^2 - 58776349/59380309*c_1100_0 + 102564289/475042472, c_1001_1 - 22044564690/958338806951*c_1100_0^10 + 33333690936/958338806951*c_1100_0^9 + 380729697111/1916677613902*c_1100_0^8 + 2024008270539/3833355227804*c_1100_0^7 - 3873396762649/7666710455608*c_1100_0^6 - 2189548230895/3833355227804*c_1100_0^5 + 340038242937/1916677613902*c_1100_0^4 - 3340688010871/3833355227804*c_1100_0^3 + 8933120585325/7666710455608*c_1100_0^2 - 854826200211/3833355227804*c_1100_0 - 372346054540/958338806951, c_1001_10 + c_1100_0, c_1100_0^11 - 3/2*c_1100_0^10 - 17/2*c_1100_0^9 - 189/8*c_1100_0^8 + 87/4*c_1100_0^7 + 177/8*c_1100_0^6 - 3/2*c_1100_0^5 + 145/8*c_1100_0^4 - 65/4*c_1100_0^3 - 189/8*c_1100_0^2 + 23/2*c_1100_0 + 17/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB