Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 206409948] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1182 geometric_solution 5.05490085 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 -1 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 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 -1.427086384756 1.074583948040 2 0 4 3 2310 0132 0132 0132 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 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 0.303001844447 0.116133366989 4 5 1 0 1023 0132 3201 0132 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 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 0.581305802689 0.771089511203 4 6 1 5 2310 0132 0132 1302 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767159801414 0.965252119908 6 2 3 1 3012 1023 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.956791597039 0.415029102856 6 2 3 6 0213 0132 2031 1302 0 0 0 0 0 0 0 0 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 1 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 1.200915272605 0.688565478336 5 3 5 4 0213 0132 2031 1230 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.390513947190 1.338347350888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : 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' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_0_6' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_2']), '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_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : 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' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : negation(d['c_0101_2']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0101_4']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2240/39*c_0101_2*c_0101_4^2 - 928/39*c_0101_2*c_0101_4 - 5600/39*c_0101_2 + 464/39*c_0101_4^2 + 32/13*c_0101_4 - 560/13, c_0011_0 - 1, c_0011_2 - 1/2*c_0101_4, c_0011_3 + c_0101_2*c_0101_4 - c_0101_2 - 1/2*c_0101_4^2 + 1/2*c_0101_4, c_0101_0 + c_0101_4^2 - 1, c_0101_1 + c_0101_2*c_0101_4 - c_0101_2 + 1/2*c_0101_4 - 1/2, c_0101_2^2 - 1/2*c_0101_2*c_0101_4 + 1/2*c_0101_2 - 3/4*c_0101_4^2 - c_0101_4, c_0101_4^3 - c_0101_4^2 - 2*c_0101_4 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 62731355813/6331834736*c_0101_4^11 - 9037875/269439776*c_0101_4^10 + 171364691627/3165917368*c_0101_4^9 - 1915171658287/12663669472*c_0101_4^8 - 1193648220453/6331834736*c_0101_4^7 + 2331640790509/12663669472*c_0101_4^6 + 7351457099749/12663669472*c_0101_4^5 + 293267305815/6331834736*c_0101_4^4 - 2657908283687/3165917368*c_0101_4^3 - 257207354831/1582958684*c_0101_4^2 + 151917219610/395739671*c_0101_4 + 109636576983/791479342, c_0011_0 - 1, c_0011_2 - 24492464/395739671*c_0101_4^11 + 375305/33679972*c_0101_4^10 - 894532587/3165917368*c_0101_4^9 + 1717700473/1582958684*c_0101_4^8 + 4688619587/3165917368*c_0101_4^7 - 1225661519/791479342*c_0101_4^6 - 14125164765/3165917368*c_0101_4^5 - 3200295927/3165917368*c_0101_4^4 + 4804709705/791479342*c_0101_4^3 + 891560204/395739671*c_0101_4^2 - 826708294/395739671*c_0101_4 - 441005187/395739671, c_0011_3 + 30543891/1582958684*c_0101_4^11 - 5987731/67359944*c_0101_4^10 + 47315005/3165917368*c_0101_4^9 - 2803401957/3165917368*c_0101_4^8 + 1178215573/3165917368*c_0101_4^7 + 8653284381/3165917368*c_0101_4^6 + 3319361829/1582958684*c_0101_4^5 - 11467452887/3165917368*c_0101_4^4 - 8665368057/1582958684*c_0101_4^3 + 1561235515/791479342*c_0101_4^2 + 1149557827/395739671*c_0101_4 + 161128647/395739671, c_0101_0 + 15521783/1582958684*c_0101_4^11 + 910815/67359944*c_0101_4^10 + 26352493/395739671*c_0101_4^9 - 271363379/3165917368*c_0101_4^8 - 509546605/1582958684*c_0101_4^7 - 1012230067/3165917368*c_0101_4^6 + 2262855775/3165917368*c_0101_4^5 + 536528689/395739671*c_0101_4^4 - 784209533/1582958684*c_0101_4^3 - 662222546/395739671*c_0101_4^2 - 208667751/395739671*c_0101_4 + 315027925/395739671, c_0101_1 - 30543891/1582958684*c_0101_4^11 + 5987731/67359944*c_0101_4^10 - 47315005/3165917368*c_0101_4^9 + 2803401957/3165917368*c_0101_4^8 - 1178215573/3165917368*c_0101_4^7 - 8653284381/3165917368*c_0101_4^6 - 3319361829/1582958684*c_0101_4^5 + 11467452887/3165917368*c_0101_4^4 + 8665368057/1582958684*c_0101_4^3 - 1561235515/791479342*c_0101_4^2 - 1149557827/395739671*c_0101_4 - 161128647/395739671, c_0101_2 - 190225447/1582958684*c_0101_4^11 + 3829631/67359944*c_0101_4^10 - 2067508817/3165917368*c_0101_4^9 + 6813625323/3165917368*c_0101_4^8 + 4501271467/3165917368*c_0101_4^7 - 10802616163/3165917368*c_0101_4^6 - 10210782181/1582958684*c_0101_4^5 + 6820626469/3165917368*c_0101_4^4 + 4617820378/395739671*c_0101_4^3 - 461721144/395739671*c_0101_4^2 - 2235987705/395739671*c_0101_4 - 486779129/395739671, c_0101_4^12 + 1/2*c_0101_4^11 + 11/2*c_0101_4^10 - 25/2*c_0101_4^9 - 53/2*c_0101_4^8 + 17/2*c_0101_4^7 + 67*c_0101_4^6 + 69/2*c_0101_4^5 - 80*c_0101_4^4 - 58*c_0101_4^3 + 28*c_0101_4^2 + 32*c_0101_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB