Magma V2.19-8 Tue Aug 20 2013 16:19:09 on localhost [Seed = 1949690127] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3278 geometric_solution 6.40115869 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 3201 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 1 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 1.354401916296 1.547861280912 0 4 2 5 0132 0132 0132 0132 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 1 -1 0 -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 0.430057872917 0.845576458491 4 0 6 1 3201 0132 0132 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 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 0.430057872917 0.845576458491 5 0 6 0 0132 2310 2310 0132 0 0 0 0 0 0 0 0 0 0 -1 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 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 0.427411302735 0.284632369485 4 1 4 2 2031 0132 1302 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 -1 1 0 -1 0 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 0.243361298656 0.707365660313 3 6 1 6 0132 2031 0132 3012 0 0 0 0 0 0 0 0 0 0 -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 -1 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 0.799765606790 0.818795640382 5 3 5 2 1302 3201 1230 0132 0 0 0 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 1 -1 0 -1 0 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 0.799765606790 0.818795640382 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : 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' : 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_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_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_0101_3'], 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], '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_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 823131460083/9234159947*c_1001_2^15 - 3418612394043/9234159947*c_1001_2^14 - 2183738711927/9234159947*c_1001_2^13 + 437912563576/9234159947*c_1001_2^12 - 9832872227796/9234159947*c_1001_2^11 - 1521490455901/9234159947*c_1001_2^10 + 37470813704762/9234159947*c_1001_2^9 + 46117642885871/9234159947*c_1001_2^8 + 25663316694632/9234159947*c_1001_2^7 - 19326002105624/9234159947*c_1001_2^6 - 74917712264830/9234159947*c_1001_2^5 - 58649596808769/9234159947*c_1001_2^4 + 1596641494188/9234159947*c_1001_2^3 + 24136450335216/9234159947*c_1001_2^2 + 4336142331486/9234159947*c_1001_2 - 5735826087370/9234159947, c_0011_0 - 1, c_0011_3 + 1603622644/9234159947*c_1001_2^15 + 6820214855/9234159947*c_1001_2^14 + 5142414044/9234159947*c_1001_2^13 + 32944458/9234159947*c_1001_2^12 + 19010716792/9234159947*c_1001_2^11 + 6812346284/9234159947*c_1001_2^10 - 71097480571/9234159947*c_1001_2^9 - 98675087500/9234159947*c_1001_2^8 - 57541827136/9234159947*c_1001_2^7 + 28708017102/9234159947*c_1001_2^6 + 141339095217/9234159947*c_1001_2^5 + 128895164962/9234159947*c_1001_2^4 + 9430225119/9234159947*c_1001_2^3 - 52029318713/9234159947*c_1001_2^2 - 11179537949/9234159947*c_1001_2 + 8231485130/9234159947, c_0101_0 + c_1001_2, c_0101_1 + 1772601683/9234159947*c_1001_2^15 + 7154963515/9234159947*c_1001_2^14 + 4454496662/9234159947*c_1001_2^13 + 364551933/9234159947*c_1001_2^12 + 20718632831/9234159947*c_1001_2^11 + 562331002/9234159947*c_1001_2^10 - 74201617014/9234159947*c_1001_2^9 - 97683840923/9234159947*c_1001_2^8 - 66975954056/9234159947*c_1001_2^7 + 36286165536/9234159947*c_1001_2^6 + 149710210385/9234159947*c_1001_2^5 + 128942201603/9234159947*c_1001_2^4 + 18677519957/9234159947*c_1001_2^3 - 38566386036/9234159947*c_1001_2^2 - 4342503933/9234159947*c_1001_2 + 8644619395/9234159947, c_0101_2 - 3337630307/9234159947*c_1001_2^15 - 12109923655/9234159947*c_1001_2^14 - 3751244061/9234159947*c_1001_2^13 - 72054393/9234159947*c_1001_2^12 - 38930555814/9234159947*c_1001_2^11 + 14884789884/9234159947*c_1001_2^10 + 132054867575/9234159947*c_1001_2^9 + 131501729178/9234159947*c_1001_2^8 + 81421860723/9234159947*c_1001_2^7 - 87189958567/9234159947*c_1001_2^6 - 250548226332/9234159947*c_1001_2^5 - 161162366775/9234159947*c_1001_2^4 + 2461405423/9234159947*c_1001_2^3 + 63912552847/9234159947*c_1001_2^2 + 11982450290/9234159947*c_1001_2 - 6873773139/9234159947, c_0101_3 + 651118591/9234159947*c_1001_2^15 + 2617114099/9234159947*c_1001_2^14 + 2040531517/9234159947*c_1001_2^13 + 480790190/9234159947*c_1001_2^12 + 5148537790/9234159947*c_1001_2^11 + 2412581650/9234159947*c_1001_2^10 - 25076420063/9234159947*c_1001_2^9 - 48081507125/9234159947*c_1001_2^8 - 22476594053/9234159947*c_1001_2^7 + 20878649955/9234159947*c_1001_2^6 + 64876249310/9234159947*c_1001_2^5 + 63498660788/9234159947*c_1001_2^4 - 1206083521/9234159947*c_1001_2^3 - 28655116677/9234159947*c_1001_2^2 - 12516703404/9234159947*c_1001_2 + 6540984239/9234159947, c_1001_2^16 + 4*c_1001_2^15 + 2*c_1001_2^14 - c_1001_2^13 + 12*c_1001_2^12 - 46*c_1001_2^10 - 49*c_1001_2^9 - 22*c_1001_2^8 + 29*c_1001_2^7 + 88*c_1001_2^6 + 57*c_1001_2^5 - 14*c_1001_2^4 - 30*c_1001_2^3 - c_1001_2^2 + 8*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB