Magma V2.19-8 Tue Aug 20 2013 17:56:07 on localhost [Seed = 559978218] Type ? for help. Type -D to quit. Loading file "11_514__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_514 geometric_solution 8.50058391 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 1 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.978566197741 0.552763066219 0 0 4 4 0132 1302 0213 0132 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 9 -10 -1 0 0 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225290055675 0.437610705585 5 0 5 6 0132 0132 3012 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 1 0 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 0.485418834196 1.212000211049 7 7 4 0 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.253425949483 0.690723942281 3 1 1 8 2310 0213 0132 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 -9 10 -1 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 0.978566197741 0.552763066219 2 2 9 9 0132 1230 0132 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 0 0 0 -1 0 0 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296804407811 0.699067569534 8 7 2 7 0132 3120 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.590656568570 0.434143174388 3 6 3 6 0132 3120 2310 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.510407026992 0.395497824276 6 9 4 9 0132 3120 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.485418834196 1.212000211049 5 8 8 5 3012 3120 1230 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 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 0.715226046433 0.711027400486 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_8']), 'c_1001_8' : d['c_1001_8'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : 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_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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_8' : d['c_1001_8'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : d['c_1001_8'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_6']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_1001_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_6'], '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' : negation(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' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : negation(d['c_0101_3'])})} 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_0011_9, c_0101_0, c_0101_3, c_0101_5, c_1001_0, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 440595/61523*c_1001_0^19 - 1111200/61523*c_1001_0^18 + 9739/77*c_1001_0^17 - 16440959/61523*c_1001_0^16 + 56949309/61523*c_1001_0^15 - 100159286/61523*c_1001_0^14 + 32020413/8789*c_1001_0^13 - 324302305/61523*c_1001_0^12 + 46787255/5593*c_1001_0^11 - 459298/47*c_1001_0^10 + 699061786/61523*c_1001_0^9 - 640149802/61523*c_1001_0^8 + 542967036/61523*c_1001_0^7 - 371354350/61523*c_1001_0^6 + 219959893/61523*c_1001_0^5 - 105582068/61523*c_1001_0^4 + 39161450/61523*c_1001_0^3 - 14967989/61523*c_1001_0^2 + 2878793/61523*c_1001_0 - 1509300/61523, c_0011_0 - 1, c_0011_3 + c_1001_0^16 - 2*c_1001_0^15 + 13*c_1001_0^14 - 22*c_1001_0^13 + 67*c_1001_0^12 - 94*c_1001_0^11 + 174*c_1001_0^10 - 196*c_1001_0^9 + 237*c_1001_0^8 - 202*c_1001_0^7 + 154*c_1001_0^6 - 84*c_1001_0^5 + 28*c_1001_0^4 - 8*c_1001_0^2 + 2*c_1001_0 - 1, c_0011_4 - c_1001_0^19 + 2*c_1001_0^18 - 16*c_1001_0^17 + 28*c_1001_0^16 - 106*c_1001_0^15 + 160*c_1001_0^14 - 376*c_1001_0^13 + 480*c_1001_0^12 - 771*c_1001_0^11 + 810*c_1001_0^10 - 920*c_1001_0^9 + 764*c_1001_0^8 - 610*c_1001_0^7 + 376*c_1001_0^6 - 202*c_1001_0^5 + 90*c_1001_0^4 - 31*c_1001_0^3 + 18*c_1001_0^2 - 4*c_1001_0 + 2, c_0011_6 - c_1001_0^14 + 2*c_1001_0^13 - 11*c_1001_0^12 + 18*c_1001_0^11 - 44*c_1001_0^10 + 56*c_1001_0^9 - 75*c_1001_0^8 + 66*c_1001_0^7 - 42*c_1001_0^6 + 12*c_1001_0^5 + 14*c_1001_0^4 - 20*c_1001_0^3 + 14*c_1001_0^2 - 4*c_1001_0 + 1, c_0011_9 + c_1001_0^13 - 2*c_1001_0^12 + 12*c_1001_0^11 - 20*c_1001_0^10 + 55*c_1001_0^9 - 74*c_1001_0^8 + 120*c_1001_0^7 - 124*c_1001_0^6 + 126*c_1001_0^5 - 92*c_1001_0^4 + 56*c_1001_0^3 - 24*c_1001_0^2 + 7*c_1001_0 - 2, c_0101_0 - c_1001_0^18 + 2*c_1001_0^17 - 15*c_1001_0^16 + 26*c_1001_0^15 - 92*c_1001_0^14 + 136*c_1001_0^13 - 297*c_1001_0^12 + 366*c_1001_0^11 - 541*c_1001_0^10 + 538*c_1001_0^9 - 553*c_1001_0^8 + 422*c_1001_0^7 - 294*c_1001_0^6 + 156*c_1001_0^5 - 62*c_1001_0^4 + 18*c_1001_0^3 + 3*c_1001_0^2 + 1, c_0101_3 + c_1001_0, c_0101_5 + c_1001_0^12 - 2*c_1001_0^11 + 11*c_1001_0^10 - 18*c_1001_0^9 + 45*c_1001_0^8 - 58*c_1001_0^7 + 84*c_1001_0^6 - 80*c_1001_0^5 + 70*c_1001_0^4 - 44*c_1001_0^3 + 21*c_1001_0^2 - 6*c_1001_0 + 1, c_1001_0^20 - 3*c_1001_0^19 + 19*c_1001_0^18 - 46*c_1001_0^17 + 149*c_1001_0^16 - 292*c_1001_0^15 + 628*c_1001_0^14 - 992*c_1001_0^13 + 1548*c_1001_0^12 - 1947*c_1001_0^11 + 2271*c_1001_0^10 - 2222*c_1001_0^9 + 1927*c_1001_0^8 - 1408*c_1001_0^7 + 872*c_1001_0^6 - 448*c_1001_0^5 + 183*c_1001_0^4 - 67*c_1001_0^3 + 19*c_1001_0^2 - 6*c_1001_0 + 1, c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB