Magma V2.19-8 Wed Aug 21 2013 01:03:51 on localhost [Seed = 3634282747] Type ? for help. Type -D to quit. Loading file "L14n2331__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2331 geometric_solution 12.37001876 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 -2 -1 3 -2 0 0 2 0 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 -2 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 0.185889168687 0.757142772791 0 5 6 4 0132 0132 0132 1023 0 0 1 1 0 2 0 -2 2 0 0 -2 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 0 1 -1 0 0 1 0 5 0 -5 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185889168687 0.757142772791 4 0 8 7 1023 0132 0132 0132 0 0 1 1 0 2 -2 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 -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 0.307229782131 0.792101879447 7 9 6 0 0132 0132 1023 0132 0 0 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 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 0.307229782131 0.792101879447 5 2 0 1 0132 1023 0132 1023 0 0 1 1 0 1 -3 2 0 0 -2 2 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 -1 2 -1 0 0 1 -1 -4 -1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780033789134 2.141656351597 4 1 10 11 0132 0132 0132 0132 0 0 1 1 0 -2 0 2 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 1 0 -1 0 0 1 -1 0 0 0 0 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 11 12 3 1 0132 0132 1023 0132 0 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 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 0.307229782131 0.792101879447 3 11 2 10 0132 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 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 0.380459093798 0.671982688797 9 9 11 2 3012 0213 0132 0132 0 0 1 1 0 0 -2 2 0 0 0 0 0 0 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 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 12 3 8 8 0132 0132 0213 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 0.965068707543 1.179798147122 12 12 7 5 3012 0213 0132 0132 0 0 1 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 0 0 0 0 0 0 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 0.965068707543 1.179798147122 6 7 5 8 0132 0132 0132 0132 0 0 1 1 0 0 -2 2 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 1 -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 0.380459093798 0.671982688797 9 6 10 10 0132 0132 0213 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 0.965068707543 1.179798147122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : d['c_0101_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], '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' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(d['1']), 's_0_5' : negation(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' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_5'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1100_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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']), 'c_1100_12' : d['c_0101_5'], '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_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_1001_0, c_1001_1, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 475304569/2529122176*c_1100_10^6 - 5200110423/2529122176*c_1100_10^5 - 13445196819/2529122176*c_1100_10^4 - 18642146349/1264561088*c_1100_10^3 - 150140775277/1264561088*c_1100_10^2 - 347029167685/2529122176*c_1100_10 - 62885480451/2529122176, c_0011_0 - 1, c_0011_10 - 501448/2822681*c_1100_10^6 - 1310396/2822681*c_1100_10^5 + 5109161/2822681*c_1100_10^4 - 52837052/2822681*c_1100_10^3 + 58694776/2822681*c_1100_10^2 - 40565539/2822681*c_1100_10 + 12098286/2822681, c_0011_11 - 1128731/2822681*c_1100_10^6 - 3295454/2822681*c_1100_10^5 + 10372351/2822681*c_1100_10^4 - 116091094/2822681*c_1100_10^3 + 97944316/2822681*c_1100_10^2 - 73534059/2822681*c_1100_10 + 12948376/2822681, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 13111/2822681*c_1100_10^6 + 59293/2822681*c_1100_10^5 + 407839/2822681*c_1100_10^4 - 2227360/2822681*c_1100_10^3 + 11104773/2822681*c_1100_10^2 - 8191053/2822681*c_1100_10 + 4608675/2822681, c_0101_2 + 87435/2822681*c_1100_10^6 + 230221/2822681*c_1100_10^5 - 869812/2822681*c_1100_10^4 + 9320900/2822681*c_1100_10^3 - 9885090/2822681*c_1100_10^2 + 8579993/2822681*c_1100_10 - 770466/2822681, c_0101_5 - 87435/2822681*c_1100_10^6 - 230221/2822681*c_1100_10^5 + 869812/2822681*c_1100_10^4 - 9320900/2822681*c_1100_10^3 + 9885090/2822681*c_1100_10^2 - 8579993/2822681*c_1100_10 + 770466/2822681, c_0101_6 - 13111/2822681*c_1100_10^6 + 59293/2822681*c_1100_10^5 + 407839/2822681*c_1100_10^4 - 2227360/2822681*c_1100_10^3 + 11104773/2822681*c_1100_10^2 - 8191053/2822681*c_1100_10 + 4608675/2822681, c_1001_0 + 14390/2822681*c_1100_10^6 + 49673/2822681*c_1100_10^5 - 155905/2822681*c_1100_10^4 + 1241381/2822681*c_1100_10^3 - 59856/2822681*c_1100_10^2 - 2689651/2822681*c_1100_10 + 1697359/2822681, c_1001_1 + 14390/2822681*c_1100_10^6 + 49673/2822681*c_1100_10^5 - 155905/2822681*c_1100_10^4 + 1241381/2822681*c_1100_10^3 - 59856/2822681*c_1100_10^2 - 2689651/2822681*c_1100_10 + 1697359/2822681, c_1100_0 - 101825/2822681*c_1100_10^6 - 279894/2822681*c_1100_10^5 + 1025717/2822681*c_1100_10^4 - 10562281/2822681*c_1100_10^3 + 9944946/2822681*c_1100_10^2 - 5890342/2822681*c_1100_10 - 926893/2822681, c_1100_10^7 + 3*c_1100_10^6 - 9*c_1100_10^5 + 102*c_1100_10^4 - 78*c_1100_10^3 + 53*c_1100_10^2 - c_1100_10 - 4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0101_6, c_1001_0, c_1001_1, c_1100_0, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 10636168226723843/14752934430976000*c_1100_10^8 - 31404208272578493/14752934430976000*c_1100_10^7 - 238604776572209553/14752934430976000*c_1100_10^6 - 33536725533084773/1053781030784000*c_1100_10^5 - 123791348587587559/7376467215488000*c_1100_10^4 + 5755888228540265969/14752934430976000*c_1100_10^3 + 6987767561950510467/14752934430976000*c_1100_10^2 + 948426571705404737/3688233607744000*c_1100_10 + 92200334111314711/461029200968000, c_0011_0 - 1, c_0011_10 - 15430599809/3688233607744*c_1100_10^8 - 48436983395/3688233607744*c_1100_10^7 - 345862722327/3688233607744*c_1100_10^6 - 51665849297/263445257696*c_1100_10^5 - 148782838049/1844116803872*c_1100_10^4 + 8644906810899/3688233607744*c_1100_10^3 + 11603410402061/3688233607744*c_1100_10^2 + 213415522099/230514600484*c_1100_10 + 108881378507/230514600484, c_0011_11 + 1864181939/263445257696*c_1100_10^8 + 3884269817/263445257696*c_1100_10^7 + 38185039605/263445257696*c_1100_10^6 + 23782778837/131722628848*c_1100_10^5 - 3600863389/131722628848*c_1100_10^4 - 1028153911945/263445257696*c_1100_10^3 - 380663460439/263445257696*c_1100_10^2 - 9472602007/16465328606*c_1100_10 + 12316830963/16465328606, c_0101_0 - 1, c_0101_1 + 1, c_0101_10 + 166097213/57628650121*c_1100_10^8 + 713593289/57628650121*c_1100_10^7 + 4353045154/57628650121*c_1100_10^6 + 1744455157/8232664303*c_1100_10^5 + 12177471185/57628650121*c_1100_10^4 - 86133871791/57628650121*c_1100_10^3 - 242283069982/57628650121*c_1100_10^2 - 173715730271/57628650121*c_1100_10 - 83199694891/57628650121, c_0101_2 - 116536369/461029200968*c_1100_10^8 - 515896721/461029200968*c_1100_10^7 - 3309764049/461029200968*c_1100_10^6 - 134103558/8232664303*c_1100_10^5 - 5785389471/230514600484*c_1100_10^4 + 92288767639/461029200968*c_1100_10^3 + 186030593047/461029200968*c_1100_10^2 + 163101984091/230514600484*c_1100_10 - 18220694049/57628650121, c_0101_5 - 116536369/461029200968*c_1100_10^8 - 515896721/461029200968*c_1100_10^7 - 3309764049/461029200968*c_1100_10^6 - 134103558/8232664303*c_1100_10^5 - 5785389471/230514600484*c_1100_10^4 + 92288767639/461029200968*c_1100_10^3 + 186030593047/461029200968*c_1100_10^2 + 163101984091/230514600484*c_1100_10 - 18220694049/57628650121, c_0101_6 - 166097213/57628650121*c_1100_10^8 - 713593289/57628650121*c_1100_10^7 - 4353045154/57628650121*c_1100_10^6 - 1744455157/8232664303*c_1100_10^5 - 12177471185/57628650121*c_1100_10^4 + 86133871791/57628650121*c_1100_10^3 + 242283069982/57628650121*c_1100_10^2 + 173715730271/57628650121*c_1100_10 + 83199694891/57628650121, c_1001_0 - 465298149/922058401936*c_1100_10^8 - 1527106803/922058401936*c_1100_10^7 - 13493212591/922058401936*c_1100_10^6 - 2034505847/65861314424*c_1100_10^5 - 33416308817/461029200968*c_1100_10^4 + 197932425895/922058401936*c_1100_10^3 + 480328756013/922058401936*c_1100_10^2 + 307904761233/230514600484*c_1100_10 + 37069973503/57628650121, c_1001_1 + 465298149/922058401936*c_1100_10^8 + 1527106803/922058401936*c_1100_10^7 + 13493212591/922058401936*c_1100_10^6 + 2034505847/65861314424*c_1100_10^5 + 33416308817/461029200968*c_1100_10^4 - 197932425895/922058401936*c_1100_10^3 - 480328756013/922058401936*c_1100_10^2 - 307904761233/230514600484*c_1100_10 - 37069973503/57628650121, c_1100_0 - 232225411/922058401936*c_1100_10^8 - 495313361/922058401936*c_1100_10^7 - 6873684493/922058401936*c_1100_10^6 - 961677383/65861314424*c_1100_10^5 - 21845529875/461029200968*c_1100_10^4 + 13354890617/922058401936*c_1100_10^3 + 108267569919/922058401936*c_1100_10^2 + 72401388571/115257300242*c_1100_10 + 55290667552/57628650121, c_1100_10^9 + 3*c_1100_10^8 + 23*c_1100_10^7 + 46*c_1100_10^6 + 34*c_1100_10^5 - 531*c_1100_10^4 - 685*c_1100_10^3 - 624*c_1100_10^2 - 336*c_1100_10 - 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB