Magma V2.19-8 Wed Aug 21 2013 00:04:57 on localhost [Seed = 3616651703] Type ? for help. Type -D to quit. Loading file "L14n6970__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n6970 geometric_solution 11.22942788 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 0132 1 1 1 1 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 1 -1 0 1 0 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268539520452 0.996781481351 0 4 6 5 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.030719805154 1.239736598134 7 0 4 0 0132 0132 3120 1302 1 1 1 1 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 0 -1 -1 0 1 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478514175593 0.652084537896 8 5 0 7 0132 3120 0132 1302 1 1 1 1 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 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748012716721 0.935341871043 7 1 2 9 1023 0132 3120 0132 1 1 1 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 0 0 0 0 0 4 -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 0.391398910249 0.500610201349 8 3 1 10 2103 3120 0132 0132 1 1 1 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 -3 0 3 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 -0.326042268948 0.739257087797 11 10 10 1 0132 3012 0132 0132 1 1 1 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.193872017189 0.980024712831 2 4 3 8 0132 1023 2031 0321 1 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 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 -0.020934307844 1.519652131015 3 7 5 11 0132 0321 2103 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638685595563 0.571398372775 11 11 4 10 1023 0321 0132 0321 1 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 0 0 0 0 -1 4 -3 1 0 -1 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 0.805746234691 0.981954452855 6 9 5 6 1230 0321 0132 0132 1 1 0 1 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 3 -3 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 0.193872017189 0.980024712831 6 9 8 9 0132 1023 0132 0321 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 -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 0.500610201349 0.608601089751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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_0011_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_10']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_0101_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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], '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' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_1'], '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_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0011_3'], 'c_1100_8' : negation(d['c_0101_10'])})} 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_11, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 310481146129035/121608281763308416*c_1100_1^9 + 2526516641003533/121608281763308416*c_1100_1^8 + 4505511323476655/60804140881654208*c_1100_1^7 + 10110928510486251/60804140881654208*c_1100_1^6 + 26874235977742513/121608281763308416*c_1100_1^5 - 14786535488504097/121608281763308416*c_1100_1^4 - 50281027317879431/60804140881654208*c_1100_1^3 - 7717070361668437/60804140881654208*c_1100_1^2 + 71906588429329331/121608281763308416*c_1100_1 + 98741807988112233/121608281763308416, c_0011_0 - 1, c_0011_10 + 23023/5702384*c_1100_1^9 + 132801/5702384*c_1100_1^8 + 216639/2851192*c_1100_1^7 + 473771/2851192*c_1100_1^6 + 1256469/5702384*c_1100_1^5 - 719013/5702384*c_1100_1^4 - 483575/2851192*c_1100_1^3 - 162281/2851192*c_1100_1^2 + 3241719/5702384*c_1100_1 + 773493/5702384, c_0011_11 + 1, c_0011_3 + 270323575/72467321468*c_1100_1^9 + 1607285257/72467321468*c_1100_1^8 + 2425198147/36233660734*c_1100_1^7 + 4816723653/36233660734*c_1100_1^6 + 10355540285/72467321468*c_1100_1^5 - 20312134709/72467321468*c_1100_1^4 - 16523808945/36233660734*c_1100_1^3 - 2996917465/36233660734*c_1100_1^2 - 1279849013/72467321468*c_1100_1 - 17112521427/72467321468, c_0011_5 - 788993277/289869285872*c_1100_1^9 - 4121682059/289869285872*c_1100_1^8 - 5146105587/144934642936*c_1100_1^7 - 7297219615/144934642936*c_1100_1^6 + 2700267589/289869285872*c_1100_1^5 + 102007371787/289869285872*c_1100_1^4 + 32846099311/144934642936*c_1100_1^3 - 85779011651/144934642936*c_1100_1^2 - 230543833181/289869285872*c_1100_1 - 343374188111/289869285872, c_0101_0 + 64280827/144934642936*c_1100_1^9 + 3133897/144934642936*c_1100_1^8 - 308067785/72467321468*c_1100_1^7 - 133315016/18116830367*c_1100_1^6 + 1977271133/144934642936*c_1100_1^5 + 12413326679/144934642936*c_1100_1^4 + 36661576483/72467321468*c_1100_1^3 + 28889521367/72467321468*c_1100_1^2 - 41163045529/144934642936*c_1100_1 + 34822916431/144934642936, c_0101_1 + 270323575/72467321468*c_1100_1^9 + 1607285257/72467321468*c_1100_1^8 + 2425198147/36233660734*c_1100_1^7 + 4816723653/36233660734*c_1100_1^6 + 10355540285/72467321468*c_1100_1^5 - 20312134709/72467321468*c_1100_1^4 - 16523808945/36233660734*c_1100_1^3 - 2996917465/36233660734*c_1100_1^2 - 1279849013/72467321468*c_1100_1 - 17112521427/72467321468, c_0101_10 - 374214769/289869285872*c_1100_1^9 - 3594639727/289869285872*c_1100_1^8 - 7551581157/144934642936*c_1100_1^7 - 21110906633/144934642936*c_1100_1^6 - 79928305939/289869285872*c_1100_1^5 - 70474053997/289869285872*c_1100_1^4 + 28406924125/144934642936*c_1100_1^3 + 26025192739/144934642936*c_1100_1^2 + 274325730007/289869285872*c_1100_1 - 71634491851/289869285872, c_0101_7 - 1023271701/289869285872*c_1100_1^9 - 5588699763/289869285872*c_1100_1^8 - 8212250811/144934642936*c_1100_1^7 - 16250393201/144934642936*c_1100_1^6 - 34684999015/289869285872*c_1100_1^5 + 73082975375/289869285872*c_1100_1^4 + 44718888161/144934642936*c_1100_1^3 + 42648637995/144934642936*c_1100_1^2 + 250376897215/289869285872*c_1100_1 + 237975282033/289869285872, c_0101_9 + c_1100_1, c_1001_2 + 1, c_1100_1^10 + 6*c_1100_1^9 + 19*c_1100_1^8 + 40*c_1100_1^7 + 49*c_1100_1^6 - 54*c_1100_1^5 - 103*c_1100_1^4 - 20*c_1100_1^3 + 55*c_1100_1^2 + 34*c_1100_1 + 229 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB