Magma V2.19-8 Tue Aug 20 2013 23:42:08 on localhost [Seed = 1781272382] Type ? for help. Type -D to quit. Loading file "L13a2155__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a2155 geometric_solution 9.37883703 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 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 1 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 0.431480995982 1.211829068986 0 0 5 4 0132 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 0.739240012834 0.732353302738 6 0 7 7 0132 0132 3012 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.431480995982 1.211829068986 8 7 5 0 0132 1302 3012 0132 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 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 0.185622819021 0.435178771399 9 5 1 6 0132 0213 0132 3012 1 1 1 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 0 0 0 0 0 0 0 -3 2 1 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 0 0 0.376587333598 0.358854261937 8 3 4 1 3120 1230 0213 0132 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 3 -2 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 0.629526298213 1.170302791218 2 7 4 8 0132 1023 1230 0321 1 1 0 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 0 0 0 0 -1 1 0 0 0 0 0 2 -2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332299623492 1.076851200043 6 2 2 3 1023 1230 0132 2031 1 1 0 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 0 0 0 0 0 0 0 1 0 0 -1 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552730433442 0.412714497670 3 6 9 5 0132 0321 0132 3120 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 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 -0.047571990647 1.470973946868 4 10 10 8 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332352383540 0.826872422069 9 9 10 10 2310 0132 1230 3012 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 1.941825391932 0.552740514702 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_10' : d['c_0101_9'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_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_0011_10']), 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_6']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : negation(d['c_0101_6']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_0']), 'c_1100_10' : negation(d['c_0101_9']), 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : negation(d['c_0011_5']), '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_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], '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_10' : negation(d['c_0101_9']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : 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_10' : d['1'], 'c_0110_9' : d['c_0101_0'], '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_9, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 21941942497157/14296720295*c_1001_4^14 - 597569685718647/14296720295*c_1001_4^13 + 1475072343454859/2859344059*c_1001_4^12 - 10915086566036761/2859344059*c_1001_4^11 + 270115734472058458/14296720295*c_1001_4^10 - 945438282258817508/14296720295*c_1001_4^9 + 2415069144869333378/14296720295*c_1001_4^8 - 83352549369942838/259940369*c_1001_4^7 + 1304666714908378394/2859344059*c_1001_4^6 - 6957469459127707037/14296720295*c_1001_4^5 + 5501918471136260181/14296720295*c_1001_4^4 - 3142755589156803718/14296720295*c_1001_4^3 + 22379467185938882/259940369*c_1001_4^2 - 296939270814535751/14296720295*c_1001_4 + 33382015609963499/14296720295, c_0011_0 - 1, c_0011_10 + c_1001_4^3 - 4*c_1001_4^2 + 3*c_1001_4 - 1, c_0011_3 + c_1001_4 - 2, c_0011_5 - c_1001_4^2 + 3*c_1001_4 - 1, c_0101_0 - 1, c_0101_1 + c_1001_4^14 - 27*c_1001_4^13 + 331*c_1001_4^12 - 2438*c_1001_4^11 + 12039*c_1001_4^10 - 42144*c_1001_4^9 + 107923*c_1001_4^8 - 205784*c_1001_4^7 + 294537*c_1001_4^6 - 316185*c_1001_4^5 + 251663*c_1001_4^4 - 144598*c_1001_4^3 + 56899*c_1001_4^2 - 13767*c_1001_4 + 1549, c_0101_10 + c_1001_4^7 - 12*c_1001_4^6 + 57*c_1001_4^5 - 137*c_1001_4^4 + 181*c_1001_4^3 - 138*c_1001_4^2 + 57*c_1001_4 - 10, c_0101_6 + c_1001_4^13 - 24*c_1001_4^12 + 258*c_1001_4^11 - 1641*c_1001_4^10 + 6880*c_1001_4^9 - 20079*c_1001_4^8 + 42056*c_1001_4^7 - 64286*c_1001_4^6 + 72123*c_1001_4^5 - 58986*c_1001_4^4 + 34354*c_1001_4^3 - 13548*c_1001_4^2 + 3253*c_1001_4 - 360, c_0101_9 + c_1001_4^11 - 20*c_1001_4^10 + 175*c_1001_4^9 - 881*c_1001_4^8 + 2830*c_1001_4^7 - 6100*c_1001_4^6 + 9058*c_1001_4^5 - 9353*c_1001_4^4 + 6636*c_1001_4^3 - 3102*c_1001_4^2 + 864*c_1001_4 - 109, c_1001_0 + c_1001_4^14 - 27*c_1001_4^13 + 331*c_1001_4^12 - 2438*c_1001_4^11 + 12039*c_1001_4^10 - 42144*c_1001_4^9 + 107923*c_1001_4^8 - 205784*c_1001_4^7 + 294537*c_1001_4^6 - 316185*c_1001_4^5 + 251663*c_1001_4^4 - 144598*c_1001_4^3 + 56899*c_1001_4^2 - 13767*c_1001_4 + 1549, c_1001_4^15 - 28*c_1001_4^14 + 357*c_1001_4^13 - 2745*c_1001_4^12 + 14219*c_1001_4^11 - 52542*c_1001_4^10 + 143187*c_1001_4^9 - 293628*c_1001_4^8 + 458265*c_1001_4^7 - 546436*c_1001_4^6 + 495725*c_1001_4^5 - 337275*c_1001_4^4 + 167143*c_1001_4^3 - 57118*c_1001_4^2 + 12063*c_1001_4 - 1189 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB