Magma V2.19-8 Tue Aug 20 2013 17:56:08 on localhost [Seed = 189447360] Type ? for help. Type -D to quit. Loading file "10^2_123__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_123 geometric_solution 11.11129174 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 0 1 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 0 0 0 0 0 -3 3 -1 0 1 0 3 -2 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687094616541 0.748004188403 0 3 6 5 0132 3120 0132 0132 1 1 1 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 5 -4 -1 1 0 -1 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723812931818 0.379094937766 7 0 9 8 0132 0132 0132 0132 0 1 1 0 0 0 0 0 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 4 1 0 -5 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630021943339 0.442006416460 6 1 8 0 2310 3120 2103 0132 0 1 1 1 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 -3 0 3 0 0 1 -1 1 0 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489950435765 0.422794257752 10 11 0 7 0132 0132 0132 2103 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 0 0 0 0 0 0 1 -3 2 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 0.739527568747 0.669896103713 6 10 1 10 0321 0321 0132 0132 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 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 0.390997567407 0.506453933839 5 7 3 1 0321 3201 3201 0132 1 1 0 1 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 -4 0 4 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 0.474768196986 0.749265035031 2 8 6 4 0132 2103 2310 2103 0 1 0 1 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 0 0 0 0 0 0 0 2 0 0 -2 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549609650663 0.860748477240 3 7 2 9 2103 2103 0132 3120 0 1 0 1 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 -1 0 0 1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.119145941881 1.194545142648 8 11 10 2 3120 1230 3012 0132 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 -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 0.368549135540 0.558598493401 4 9 5 5 0132 1230 0132 0321 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 -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 0 0 0 0 0.970708134474 0.807252856481 11 4 9 11 3012 0132 3012 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.356920465892 0.612928778358 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_9']), 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_8'], 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_0011_0'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_9'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), '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_2_10' : 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' : 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' : negation(d['c_0101_9']), 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_3']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_9'], 'c_1010_6' : negation(d['c_0011_8']), 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_9']), '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_5']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0011_6, c_0011_8, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 6402972579/7200160*c_0101_9^14 - 14652888149/14400320*c_0101_9^13 + 102411406693/28800640*c_0101_9^12 - 27731072493/7200160*c_0101_9^11 + 130075952023/28800640*c_0101_9^10 - 135417349581/28800640*c_0101_9^9 + 7364907923/5760128*c_0101_9^8 - 206189297/523648*c_0101_9^7 - 57130283097/28800640*c_0101_9^6 + 88140112499/28800640*c_0101_9^5 - 1199382381/900020*c_0101_9^4 + 31624092867/28800640*c_0101_9^3 - 73083713/1800040*c_0101_9^2 - 6175548551/7200160*c_0101_9 + 9681589041/28800640, c_0011_0 - 1, c_0011_10 - 28*c_0101_9^14 + 2*c_0101_9^13 - 93*c_0101_9^12 + 10*c_0101_9^11 - 70*c_0101_9^10 + 32*c_0101_9^9 + 56*c_0101_9^8 + 24*c_0101_9^7 + 79*c_0101_9^6 - 14*c_0101_9^5 - 19*c_0101_9^4 - 22*c_0101_9^3 - 28*c_0101_9^2 + 9*c_0101_9 + 9, c_0011_3 - 16*c_0101_9^14 - 48*c_0101_9^13 - 28*c_0101_9^12 - 176*c_0101_9^11 + 61*c_0101_9^10 - 177*c_0101_9^9 + 183*c_0101_9^8 + 15*c_0101_9^7 + 91*c_0101_9^6 + 110*c_0101_9^5 - 93*c_0101_9^4 + 8*c_0101_9^3 - 68*c_0101_9^2 - 18*c_0101_9 + 33, c_0011_5 + 56*c_0101_9^14 + 4*c_0101_9^13 + 190*c_0101_9^12 + 6*c_0101_9^11 + 150*c_0101_9^10 - 43*c_0101_9^9 - 115*c_0101_9^8 - 60*c_0101_9^7 - 172*c_0101_9^6 + 6*c_0101_9^5 + 37*c_0101_9^4 + 44*c_0101_9^3 + 66*c_0101_9^2 - 12*c_0101_9 - 21, c_0011_6 + 112*c_0101_9^14 + 16*c_0101_9^13 + 376*c_0101_9^12 + 42*c_0101_9^11 + 288*c_0101_9^10 - 53*c_0101_9^9 - 242*c_0101_9^8 - 117*c_0101_9^7 - 344*c_0101_9^6 - 4*c_0101_9^5 + 82*c_0101_9^4 + 84*c_0101_9^3 + 135*c_0101_9^2 - 22*c_0101_9 - 44, c_0011_8 - 52*c_0101_9^14 - 14*c_0101_9^13 - 165*c_0101_9^12 - 43*c_0101_9^11 - 97*c_0101_9^10 + c_0101_9^9 + 158*c_0101_9^8 + 53*c_0101_9^7 + 164*c_0101_9^6 + 11*c_0101_9^5 - 69*c_0101_9^4 - 39*c_0101_9^3 - 75*c_0101_9^2 + 11*c_0101_9 + 29, c_0011_9 + 168*c_0101_9^14 + 8*c_0101_9^13 + 564*c_0101_9^12 + 5*c_0101_9^11 + 433*c_0101_9^10 - 137*c_0101_9^9 - 352*c_0101_9^8 - 159*c_0101_9^7 - 505*c_0101_9^6 + 50*c_0101_9^5 + 118*c_0101_9^4 + 135*c_0101_9^3 + 192*c_0101_9^2 - 50*c_0101_9 - 62, c_0101_0 - 1, c_0101_11 - 72*c_0101_9^14 - 244*c_0101_9^12 + 11*c_0101_9^11 - 192*c_0101_9^10 + 73*c_0101_9^9 + 146*c_0101_9^8 + 68*c_0101_9^7 + 218*c_0101_9^6 - 30*c_0101_9^5 - 47*c_0101_9^4 - 59*c_0101_9^3 - 82*c_0101_9^2 + 23*c_0101_9 + 26, c_0101_2 + 16*c_0101_9^14 - 4*c_0101_9^13 + 54*c_0101_9^12 - 17*c_0101_9^11 + 42*c_0101_9^10 - 30*c_0101_9^9 - 31*c_0101_9^8 - 8*c_0101_9^7 - 46*c_0101_9^6 + 24*c_0101_9^5 + 10*c_0101_9^4 + 15*c_0101_9^3 + 16*c_0101_9^2 - 11*c_0101_9 - 5, c_0101_3 + 76*c_0101_9^14 - 38*c_0101_9^13 + 283*c_0101_9^12 - 151*c_0101_9^11 + 304*c_0101_9^10 - 223*c_0101_9^9 - 11*c_0101_9^8 - 66*c_0101_9^7 - 196*c_0101_9^6 + 122*c_0101_9^5 - 34*c_0101_9^4 + 76*c_0101_9^3 + 41*c_0101_9^2 - 41*c_0101_9, c_0101_9^15 - 1/2*c_0101_9^14 + 13/4*c_0101_9^13 - 7/4*c_0101_9^12 + 9/4*c_0101_9^11 - 2*c_0101_9^10 - 2*c_0101_9^9 + 1/2*c_0101_9^8 - 5/2*c_0101_9^7 + 2*c_0101_9^6 + 3/4*c_0101_9^5 + 1/4*c_0101_9^4 + 3/4*c_0101_9^3 - c_0101_9^2 - 1/4*c_0101_9 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.260 seconds, Total memory usage: 32.09MB