Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 122067378] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m108 geometric_solution 3.53132833 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 2 0132 0132 3201 1302 0 0 0 0 0 -1 0 1 0 0 0 0 -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 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 0.958363448502 0.980171370570 0 2 3 3 0132 1302 2310 0132 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 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 0.059269380578 0.549706700723 0 0 0 1 2310 0132 2031 2031 0 0 0 0 0 1 -1 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 -1 0 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 0.490014220549 0.521590698391 4 1 1 4 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.429172197407 0.532070388958 3 3 4 4 0132 2310 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.673244014984 1.220075479662 ==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_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : 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_4' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0101_4'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_1' : 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_4' : negation(d['c_0101_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_4' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 2506097894441/352814057754*c_0101_4^11 - 354571508499/58802342959*c_0101_4^10 + 7634229343405/117604685918*c_0101_4^9 + 42147284344223/176407028877*c_0101_4^8 + 31114786232260/176407028877*c_0101_4^7 - 37662783020057/58802342959*c_0101_4^6 - 6614449463151/117604685918*c_0101_4^5 + 205063434639871/352814057754*c_0101_4^4 - 73339287666565/117604685918*c_0101_4^3 + 31983313353565/176407028877*c_0101_4^2 - 1133185266635/352814057754*c_0101_4 + 16311281776355/352814057754, c_0011_0 - 1, c_0011_3 - 1112664738/58802342959*c_0101_4^11 - 1123715338/58802342959*c_0101_4^10 + 10374707661/58802342959*c_0101_4^9 + 38723495209/58802342959*c_0101_4^8 + 29092210228/58802342959*c_0101_4^7 - 102813525359/58802342959*c_0101_4^6 - 6974255201/58802342959*c_0101_4^5 + 161791772694/58802342959*c_0101_4^4 - 106341039907/58802342959*c_0101_4^3 - 31536144986/58802342959*c_0101_4^2 + 116466887873/58802342959*c_0101_4 - 8826018131/58802342959, c_0101_0 - 4773238385/58802342959*c_0101_4^11 - 1563834093/58802342959*c_0101_4^10 + 48877211797/58802342959*c_0101_4^9 + 142623273887/58802342959*c_0101_4^8 + 8869775508/58802342959*c_0101_4^7 - 615207857898/58802342959*c_0101_4^6 + 29336726271/58802342959*c_0101_4^5 + 598878773459/58802342959*c_0101_4^4 - 481688210203/58802342959*c_0101_4^3 + 113558614633/58802342959*c_0101_4^2 + 83188417881/58802342959*c_0101_4 + 26814013797/58802342959, c_0101_1 + 2977951324/58802342959*c_0101_4^11 + 3111501934/58802342959*c_0101_4^10 - 27379767027/58802342959*c_0101_4^9 - 104816030920/58802342959*c_0101_4^8 - 85601340141/58802342959*c_0101_4^7 + 267272979102/58802342959*c_0101_4^6 + 44327575896/58802342959*c_0101_4^5 - 372893654381/58802342959*c_0101_4^4 + 241141118998/58802342959*c_0101_4^3 + 61848568197/58802342959*c_0101_4^2 - 74450939575/58802342959*c_0101_4 + 32266480982/58802342959, c_0101_4^12 + c_0101_4^11 - 9*c_0101_4^10 - 35*c_0101_4^9 - 30*c_0101_4^8 + 86*c_0101_4^7 + 21*c_0101_4^6 - 80*c_0101_4^5 + 76*c_0101_4^4 - 13*c_0101_4^3 - 3*c_0101_4^2 - 6*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB