Magma V2.19-8 Tue Aug 20 2013 23:38:16 on localhost [Seed = 425688373] Type ? for help. Type -D to quit. Loading file "K12n370__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n370 geometric_solution 8.79986298 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.238248891086 0.618462115824 0 5 6 2 0132 0132 0132 2310 0 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 1 0 -1 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 0.022074358238 0.748386042968 1 0 3 7 3201 0132 3201 0132 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 -1 1 0 -1 0 1 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 1.864111220644 1.360384562658 2 4 8 0 2310 0321 0132 0132 0 0 0 0 0 0 0 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 0 0 -1 1 1 0 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781888087191 0.603012136068 9 7 0 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.816268383918 0.776621585527 6 1 6 9 2310 0132 0213 0321 0 0 0 0 0 1 -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 0 -1 0 1 1 0 -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 0.402491922705 0.367820833661 7 5 5 1 0213 0213 3201 0132 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 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 0.207811461766 1.002997151969 6 4 2 8 0213 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.085771746326 0.767036555376 7 9 9 3 3201 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0.377783154169 0.812418446379 4 5 8 8 0132 0321 0213 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.529385174131 1.012051917764 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['c_1001_3'], 'c_1100_8' : d['c_1001_3'], 'c_1100_5' : d['c_1001_1'], 'c_1100_4' : d['c_1001_3'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_3'], '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_3'], '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_0011_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 92883389/29662567*c_1001_3^9 + 12114823/2696597*c_1001_3^8 - 801813904/29662567*c_1001_3^7 - 466153186/29662567*c_1001_3^6 + 66854326/2696597*c_1001_3^5 + 12195154/801691*c_1001_3^4 - 1120672210/29662567*c_1001_3^3 - 1205428295/29662567*c_1001_3^2 - 194062809/29662567*c_1001_3 + 221948887/29662567, c_0011_0 - 1, c_0011_3 + 30968/86987*c_1001_3^9 + 44216/86987*c_1001_3^8 - 275976/86987*c_1001_3^7 - 156153/86987*c_1001_3^6 + 327209/86987*c_1001_3^5 + 2585/2351*c_1001_3^4 - 446095/86987*c_1001_3^3 - 251882/86987*c_1001_3^2 + 35344/86987*c_1001_3 - 54519/86987, c_0011_4 + 16475/86987*c_1001_3^9 + 8130/86987*c_1001_3^8 - 156617/86987*c_1001_3^7 + 48230/86987*c_1001_3^6 + 133242/86987*c_1001_3^5 + 1421/2351*c_1001_3^4 - 254404/86987*c_1001_3^3 - 58267/86987*c_1001_3^2 + 37724/86987*c_1001_3 + 72182/86987, c_0011_6 + 19483/86987*c_1001_3^9 - 10159/86987*c_1001_3^8 - 206052/86987*c_1001_3^7 + 249912/86987*c_1001_3^6 + 195833/86987*c_1001_3^5 - 6663/2351*c_1001_3^4 - 293667/86987*c_1001_3^3 + 319978/86987*c_1001_3^2 + 145110/86987*c_1001_3 - 60302/86987, c_0101_0 - 17229/86987*c_1001_3^9 - 32869/86987*c_1001_3^8 + 151831/86987*c_1001_3^7 + 166225/86987*c_1001_3^6 - 232853/86987*c_1001_3^5 - 3215/2351*c_1001_3^4 + 274136/86987*c_1001_3^3 + 299777/86987*c_1001_3^2 - 61056/86987*c_1001_3 + 82485/86987, c_0101_1 - 24739/86987*c_1001_3^9 - 36311/86987*c_1001_3^8 + 208915/86987*c_1001_3^7 + 120876/86987*c_1001_3^6 - 165235/86987*c_1001_3^5 - 1546/2351*c_1001_3^4 + 257472/86987*c_1001_3^3 + 218178/86987*c_1001_3^2 + 44348/86987*c_1001_3 + 66926/86987, c_0101_3 - 10737/86987*c_1001_3^9 - 8836/86987*c_1001_3^8 + 88516/86987*c_1001_3^7 - 14114/86987*c_1001_3^6 - 947/86987*c_1001_3^5 - 91/2351*c_1001_3^4 + 140698/86987*c_1001_3^3 + 12012/86987*c_1001_3^2 + 13161/86987*c_1001_3 + 30214/86987, c_1001_0 + 13739/86987*c_1001_3^9 + 11347/86987*c_1001_3^8 - 124145/86987*c_1001_3^7 + 10072/86987*c_1001_3^6 + 94356/86987*c_1001_3^5 - 630/2351*c_1001_3^4 - 171959/86987*c_1001_3^3 + 47895/86987*c_1001_3^2 - 25712/86987*c_1001_3 - 59021/86987, c_1001_1 - 15415/86987*c_1001_3^9 - 347/86987*c_1001_3^8 + 153193/86987*c_1001_3^7 - 122214/86987*c_1001_3^6 - 126570/86987*c_1001_3^5 + 3371/2351*c_1001_3^4 + 174518/86987*c_1001_3^3 - 127587/86987*c_1001_3^2 - 73682/86987*c_1001_3 - 34195/86987, c_1001_3^10 + c_1001_3^9 - 9*c_1001_3^8 - c_1001_3^7 + 8*c_1001_3^6 + c_1001_3^5 - 14*c_1001_3^4 - 5*c_1001_3^3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB