Magma V2.19-8 Wed Aug 21 2013 00:59:40 on localhost [Seed = 2631567327] Type ? for help. Type -D to quit. Loading file "L13n7373__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7373 geometric_solution 12.37001876 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 2 2 0 -1 2 -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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.780033789134 2.141656351597 0 4 2 5 0132 1023 0132 0132 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 0 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 0.307229782131 0.792101879447 3 0 6 1 1023 0132 0132 0132 0 0 2 2 0 1 -1 0 -2 0 2 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 -1 1 0 1 0 -1 0 0 -1 0 1 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 4 2 7 0 1023 1023 0132 0132 0 0 2 2 0 2 0 -2 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.185889168687 0.757142772791 1 3 0 8 1023 1023 0132 0132 0 0 2 2 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 0 0 0 0 0 0 0 0 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 8 6 1 9 1023 1023 0132 0132 0 0 2 2 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 0 0 0 0 0 0 0 -5 5 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 5 7 10 2 1023 1023 0132 0132 0 0 2 2 0 0 -1 1 0 0 2 -2 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 0 1 -1 0 0 -1 1 -5 0 0 5 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.380459093798 0.671982688797 6 11 8 3 1023 0132 0132 0132 0 0 2 2 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 6 0 -6 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 12 5 4 7 0132 1023 0132 0132 0 0 2 2 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 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307229782131 0.792101879447 11 11 5 10 3012 0213 0132 0132 0 0 1 2 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 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 0.965068707543 1.179798147122 12 12 9 6 3120 1230 0132 0132 0 0 2 1 0 -1 0 1 1 0 1 -2 0 1 0 -1 -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 0 -6 0 6 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 12 7 9 9 1023 0132 0213 1230 0 1 2 2 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 1 0 -1 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 0.965068707543 1.179798147122 8 11 10 10 0132 1023 3012 3120 1 0 2 2 0 0 -1 1 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 -1 2 -1 0 0 -1 1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965068707543 1.179798147122 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(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' : negation(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_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_1'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_1'], 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_9'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(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' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), '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' : negation(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_10']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], '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_0101_9'], '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_0101_10'], 'c_0110_8' : d['c_0101_12'], '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_1'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_2']})} 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_12, c_0101_2, c_0101_3, c_0101_6, c_0101_9, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4692634159938581/29505868861952000*c_1100_1^8 + 4528200229014631/29505868861952000*c_1100_1^7 - 87643529262610651/29505868861952000*c_1100_1^6 + 1181858488615641/2107562061568000*c_1100_1^5 + 50411007029719747/14752934430976000*c_1100_1^4 - 2538048829301212223/29505868861952000*c_1100_1^3 - 1940691747911524311/29505868861952000*c_1100_1^2 - 118115255016286327/3688233607744000*c_1100_1 - 72476063878408951/1844116803872000, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1864181939/263445257696*c_1100_1^8 - 3884269817/263445257696*c_1100_1^7 + 38185039605/263445257696*c_1100_1^6 - 23782778837/131722628848*c_1100_1^5 - 3600863389/131722628848*c_1100_1^4 + 1028153911945/263445257696*c_1100_1^3 - 380663460439/263445257696*c_1100_1^2 + 9472602007/16465328606*c_1100_1 + 12316830963/16465328606, c_0101_0 - 1, c_0101_1 - 116536369/461029200968*c_1100_1^8 + 515896721/461029200968*c_1100_1^7 - 3309764049/461029200968*c_1100_1^6 + 134103558/8232664303*c_1100_1^5 - 5785389471/230514600484*c_1100_1^4 - 92288767639/461029200968*c_1100_1^3 + 186030593047/461029200968*c_1100_1^2 - 163101984091/230514600484*c_1100_1 - 18220694049/57628650121, c_0101_10 - 9814887487/1844116803872*c_1100_1^8 + 31708580801/1844116803872*c_1100_1^7 - 228785839333/1844116803872*c_1100_1^6 + 35706817561/131722628848*c_1100_1^5 - 188023855219/922058401936*c_1100_1^4 - 5164288390309/1844116803872*c_1100_1^3 + 7616541305407/1844116803872*c_1100_1^2 - 1333270776965/461029200968*c_1100_1 + 91337465067/57628650121, c_0101_12 - 166097213/57628650121*c_1100_1^8 + 713593289/57628650121*c_1100_1^7 - 4353045154/57628650121*c_1100_1^6 + 1744455157/8232664303*c_1100_1^5 - 12177471185/57628650121*c_1100_1^4 - 86133871791/57628650121*c_1100_1^3 + 242283069982/57628650121*c_1100_1^2 - 173715730271/57628650121*c_1100_1 + 83199694891/57628650121, c_0101_2 + 465298149/922058401936*c_1100_1^8 - 1527106803/922058401936*c_1100_1^7 + 13493212591/922058401936*c_1100_1^6 - 2034505847/65861314424*c_1100_1^5 + 33416308817/461029200968*c_1100_1^4 + 197932425895/922058401936*c_1100_1^3 - 480328756013/922058401936*c_1100_1^2 + 307904761233/230514600484*c_1100_1 - 37069973503/57628650121, c_0101_3 + 1, c_0101_6 - 465298149/922058401936*c_1100_1^8 + 1527106803/922058401936*c_1100_1^7 - 13493212591/922058401936*c_1100_1^6 + 2034505847/65861314424*c_1100_1^5 - 33416308817/461029200968*c_1100_1^4 - 197932425895/922058401936*c_1100_1^3 + 480328756013/922058401936*c_1100_1^2 - 307904761233/230514600484*c_1100_1 + 37069973503/57628650121, c_0101_9 + 166097213/57628650121*c_1100_1^8 - 713593289/57628650121*c_1100_1^7 + 4353045154/57628650121*c_1100_1^6 - 1744455157/8232664303*c_1100_1^5 + 12177471185/57628650121*c_1100_1^4 + 86133871791/57628650121*c_1100_1^3 - 242283069982/57628650121*c_1100_1^2 + 173715730271/57628650121*c_1100_1 - 83199694891/57628650121, c_1100_0 + 232225411/922058401936*c_1100_1^8 - 495313361/922058401936*c_1100_1^7 + 6873684493/922058401936*c_1100_1^6 - 961677383/65861314424*c_1100_1^5 + 21845529875/461029200968*c_1100_1^4 + 13354890617/922058401936*c_1100_1^3 - 108267569919/922058401936*c_1100_1^2 + 72401388571/115257300242*c_1100_1 - 55290667552/57628650121, c_1100_1^9 - 3*c_1100_1^8 + 23*c_1100_1^7 - 46*c_1100_1^6 + 34*c_1100_1^5 + 531*c_1100_1^4 - 685*c_1100_1^3 + 624*c_1100_1^2 - 336*c_1100_1 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB