Magma V2.19-8 Tue Aug 20 2013 17:57:00 on localhost [Seed = 4240263406] Type ? for help. Type -D to quit. Loading file "11_329__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_329 geometric_solution 11.18083695 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329835461025 0.675588837977 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -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 0.430009929310 0.934293380946 8 0 7 4 0132 0132 0213 2310 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 -1 0 1 1 0 0 -1 0 -1 0 1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060254083654 1.257862091965 9 10 11 0 0132 0132 0132 0132 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.323802425857 1.235681056278 2 5 0 10 3201 1302 0132 1302 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 0 1 -1 -1 0 -1 2 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158186459536 0.511544341567 11 1 10 4 2031 0132 2103 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 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 0.775505211951 0.630164631396 8 9 1 10 3012 2103 0132 0213 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 1 -1 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198905096625 0.681739471052 9 2 11 1 2103 0213 0213 0132 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694174939104 1.028062705502 2 11 9 6 0132 2031 2031 1230 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 -1 0 0 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 0.494822303608 0.446249875598 3 6 7 8 0132 2103 2103 1302 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.201619415216 0.492886726552 5 3 4 6 2103 0132 2031 0213 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 1 -1 -1 0 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669035144104 0.928564601360 8 7 5 3 1302 0213 1302 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 0.698995796596 0.574232638189 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0110_10']), 'c_1001_11' : d['c_0110_5'], 'c_1001_10' : negation(d['c_0110_4']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0110_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_0']), '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_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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0011_4'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0110_4']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0110_10'], 'c_1010_8' : d['c_0011_11'], '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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_6'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0101_1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0011_11'], 'c_1100_9' : negation(d['c_0101_1']), 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_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_4, c_0011_6, c_0101_1, c_0101_10, c_0101_3, c_0110_10, c_0110_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 34816473/56969*c_1001_3^7 + 119801895/56969*c_1001_3^6 - 109604421/56969*c_1001_3^5 + 56793782/56969*c_1001_3^4 - 259487097/56969*c_1001_3^3 + 125598541/56969*c_1001_3^2 - 33612591/56969*c_1001_3 - 4557460/56969, c_0011_0 - 1, c_0011_10 - 56409/20716*c_1001_3^7 + 204051/20716*c_1001_3^6 - 214445/20716*c_1001_3^5 + 65747/10358*c_1001_3^4 - 220283/10358*c_1001_3^3 + 270849/20716*c_1001_3^2 - 27802/5179*c_1001_3 + 23099/20716, c_0011_11 - 12807/20716*c_1001_3^7 + 37281/20716*c_1001_3^6 - 14151/20716*c_1001_3^5 - 5113/10358*c_1001_3^4 - 38727/10358*c_1001_3^3 - 3493/20716*c_1001_3^2 + 5593/5179*c_1001_3 - 683/20716, c_0011_4 + 51609/20716*c_1001_3^7 - 195159/20716*c_1001_3^6 + 229537/20716*c_1001_3^5 - 78839/10358*c_1001_3^4 + 212909/10358*c_1001_3^3 - 328449/20716*c_1001_3^2 + 42668/5179*c_1001_3 - 31687/20716, c_0011_6 + 12807/20716*c_1001_3^7 - 37281/20716*c_1001_3^6 + 14151/20716*c_1001_3^5 + 5113/10358*c_1001_3^4 + 38727/10358*c_1001_3^3 + 3493/20716*c_1001_3^2 - 5593/5179*c_1001_3 + 683/20716, c_0101_1 + 25395/20716*c_1001_3^7 - 111717/20716*c_1001_3^6 + 164279/20716*c_1001_3^5 - 62217/10358*c_1001_3^4 + 120291/10358*c_1001_3^3 - 280487/20716*c_1001_3^2 + 31112/5179*c_1001_3 - 31537/20716, c_0101_10 + 30645/20716*c_1001_3^7 - 96195/20716*c_1001_3^6 + 68145/20716*c_1001_3^5 - 17471/10358*c_1001_3^4 + 113143/10358*c_1001_3^3 - 41401/20716*c_1001_3^2 + 4818/5179*c_1001_3 + 1809/20716, c_0101_3 - 64047/20716*c_1001_3^7 + 236301/20716*c_1001_3^6 - 261667/20716*c_1001_3^5 + 87667/10358*c_1001_3^4 - 264787/10358*c_1001_3^3 + 375995/20716*c_1001_3^2 - 40024/5179*c_1001_3 + 37633/20716, c_0110_10 + 18261/10358*c_1001_3^7 - 62067/10358*c_1001_3^6 + 56121/10358*c_1001_3^5 - 15824/5179*c_1001_3^4 + 70709/5179*c_1001_3^3 - 65713/10358*c_1001_3^2 + 10524/5179*c_1001_3 - 875/10358, c_0110_4 + 58539/20716*c_1001_3^7 - 204501/20716*c_1001_3^6 + 199591/20716*c_1001_3^5 - 59549/10358*c_1001_3^4 + 223361/10358*c_1001_3^3 - 234931/20716*c_1001_3^2 + 26190/5179*c_1001_3 - 6729/20716, c_0110_5 - 30645/20716*c_1001_3^7 + 96195/20716*c_1001_3^6 - 68145/20716*c_1001_3^5 + 17471/10358*c_1001_3^4 - 113143/10358*c_1001_3^3 + 41401/20716*c_1001_3^2 - 4818/5179*c_1001_3 - 1809/20716, c_1001_3^8 - 4*c_1001_3^7 + 16/3*c_1001_3^6 - 13/3*c_1001_3^5 + 28/3*c_1001_3^4 - 25/3*c_1001_3^3 + 5*c_1001_3^2 - 5/3*c_1001_3 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.730 Total time: 0.940 seconds, Total memory usage: 32.09MB