Magma V2.19-8 Tue Aug 20 2013 16:18:59 on localhost [Seed = 155751525] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3130 geometric_solution 6.29102621 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 0.854435801243 0.666740506545 0 5 4 6 0132 0132 3012 0132 0 0 0 0 0 0 -1 1 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 -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 0.746518386460 0.736690537940 6 0 3 6 3012 0132 3012 0321 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719966357214 1.249151951247 6 2 5 0 0132 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.613908640012 0.304761691218 4 1 0 4 3201 1230 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 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 0.905740366758 0.699814340191 5 1 3 5 3201 0132 3120 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 0.281649652931 0.676370800704 3 2 1 2 0132 0321 0132 1230 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 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 1.170877311906 0.762236013743 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_1001_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_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_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 361240174/865080715*c_1001_3^8 - 6405036145/2422226002*c_1001_3^7 + 20671515083/2422226002*c_1001_3^6 - 5523805649/263285435*c_1001_3^5 + 9475348237/263285435*c_1001_3^4 - 57945493094/1211113001*c_1001_3^3 + 265077973658/6055565005*c_1001_3^2 - 494670143361/12111130010*c_1001_3 + 121514714857/6055565005, c_0011_0 - 1, c_0011_3 + 306846/7522441*c_0101_2*c_1001_3^8 - 3927171/15044882*c_0101_2*c_1001_3^7 + 13117911/15044882*c_0101_2*c_1001_3^6 - 33326971/15044882*c_0101_2*c_1001_3^5 + 29590023/7522441*c_0101_2*c_1001_3^4 - 41554046/7522441*c_0101_2*c_1001_3^3 + 41226050/7522441*c_0101_2*c_1001_3^2 - 75154019/15044882*c_0101_2*c_1001_3 + 36968399/15044882*c_0101_2, c_0011_4 + 776824/7522441*c_1001_3^8 - 5016578/7522441*c_1001_3^7 + 16285361/7522441*c_1001_3^6 - 39701841/7522441*c_1001_3^5 + 68198847/7522441*c_1001_3^4 - 89021996/7522441*c_1001_3^3 + 80556579/7522441*c_1001_3^2 - 73048599/7522441*c_1001_3 + 38979741/7522441, c_0101_0 + 3534/127499*c_0101_2*c_1001_3^8 - 45271/254998*c_0101_2*c_1001_3^7 + 72781/127499*c_0101_2*c_1001_3^6 - 175485/127499*c_0101_2*c_1001_3^5 + 291660/127499*c_0101_2*c_1001_3^4 - 710035/254998*c_0101_2*c_1001_3^3 + 545143/254998*c_0101_2*c_1001_3^2 - 374961/254998*c_0101_2*c_1001_3 + 30081/254998*c_0101_2, c_0101_1 + 890450/7522441*c_0101_2*c_1001_3^8 - 11631769/15044882*c_0101_2*c_1001_3^7 + 19368165/7522441*c_0101_2*c_1001_3^6 - 97203457/15044882*c_0101_2*c_1001_3^5 + 86056697/7522441*c_0101_2*c_1001_3^4 - 235066107/15044882*c_0101_2*c_1001_3^3 + 111701326/7522441*c_0101_2*c_1001_3^2 - 200021303/15044882*c_0101_2*c_1001_3 + 51457638/7522441*c_0101_2, c_0101_2^2 - 133568/7522441*c_1001_3^8 + 802640/7522441*c_1001_3^7 - 2627560/7522441*c_1001_3^6 + 6435428/7522441*c_1001_3^5 - 11817784/7522441*c_1001_3^4 + 16640228/7522441*c_1001_3^3 - 19063140/7522441*c_1001_3^2 + 7916056/7522441*c_1001_3 - 6983876/7522441, c_1001_3^9 - 29/4*c_1001_3^8 + 105/4*c_1001_3^7 - 69*c_1001_3^6 + 529/4*c_1001_3^5 - 773/4*c_1001_3^4 + 417/2*c_1001_3^3 - 192*c_1001_3^2 + 135*c_1001_3 - 161/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB