Magma V2.19-8 Wed Aug 21 2013 00:56:06 on localhost [Seed = 4155633114] Type ? for help. Type -D to quit. Loading file "L13n1231__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n1231 geometric_solution 12.04423107 oriented_manifold CS_known 0.0000000000000011 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 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 -1 1 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 0.138670142201 0.921483995458 0 0 5 4 0132 1302 0132 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 6 -6 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.840308400995 1.061174744300 6 0 7 6 0132 0132 0132 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777614282617 1.235289529631 6 7 8 0 2031 1023 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 -1 0 1 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 0.367520141005 0.652633319087 9 8 1 10 0132 1230 0132 0132 1 1 1 1 0 0 1 -1 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 6 -7 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507780876202 0.467203496467 11 11 12 1 0132 1230 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 6 0 -6 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 -0.069092014764 0.931439264520 2 7 3 2 0132 3120 1302 1023 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 0.862969671499 0.751866484722 3 6 9 2 1023 3120 2031 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 -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 -0.120684925734 0.898813032011 9 11 4 3 1023 2103 3012 0132 1 1 1 1 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 1 0 -1 0 0 0 0 0 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.150262671397 1.058630614092 4 8 11 7 0132 1023 2031 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 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768448002276 1.116504226151 12 12 4 12 1230 2031 0132 0132 1 1 0 1 0 0 1 -1 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 0 7 -7 0 0 0 0 1 -1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079201916899 1.067732291167 5 8 5 9 0132 2103 3012 1302 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.079201916899 1.067732291167 10 10 10 5 1302 3012 0132 0132 1 1 1 0 0 -1 1 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 -7 7 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 0.079201916899 1.067732291167 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(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_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : negation(d['c_1001_4']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : d['c_1100_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_11'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_3'], '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_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_3']), '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_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_7, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 17669800148655203/7708603610679665638768640*c_1100_1^13 - 7053997466844627/192715090266991640969216*c_1100_1^12 - 137062705633471523/385430180533983281938432*c_1100_1^11 - 462207304221267113/240893862833739551211520*c_1100_1^10 - 1014035358111423857/120446931416869775605760*c_1100_1^9 - 839147733740426003/30111732854217443901440*c_1100_1^8 - 1708569196910019/94099165169429512192*c_1100_1^7 + 154628273798907261/1881983303388590243840*c_1100_1^6 - 10662361285073345/94099165169429512192*c_1100_1^5 - 5399203927722903/58811978230893445120*c_1100_1^4 + 3143807936059973/5881197823089344512*c_1100_1^3 - 18383726512925453/1470299455772336128*c_1100_1^2 - 26344688880782693/459468579928855040*c_1100_1 - 47033934345637453/459468579928855040, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 17/536870912*c_1100_1^13 - 27/67108864*c_1100_1^12 - 525/134217728*c_1100_1^11 - 301/16777216*c_1100_1^10 - 817/8388608*c_1100_1^9 - 547/2097152*c_1100_1^8 - 107/262144*c_1100_1^7 - 147/131072*c_1100_1^6 - 131/32768*c_1100_1^5 - 69/4096*c_1100_1^4 - 79/2048*c_1100_1^3 - 61/512*c_1100_1^2 - 45/64*c_1100_1 - 5/32, c_0011_3 + 1/134217728*c_1100_1^13 + 1/8388608*c_1100_1^12 + 37/33554432*c_1100_1^11 + 3/524288*c_1100_1^10 + 51/2097152*c_1100_1^9 + 49/524288*c_1100_1^8 + 3/32768*c_1100_1^7 - 1/32768*c_1100_1^6 + 27/8192*c_1100_1^5 + 1/512*c_1100_1^4 - 11/512*c_1100_1^3 + 23/128*c_1100_1^2 + 1/8*c_1100_1 - 7/8, c_0101_0 + 7/67108864*c_1100_1^13 + 59/33554432*c_1100_1^12 + 297/16777216*c_1100_1^11 + 867/8388608*c_1100_1^10 + 1025/2097152*c_1100_1^9 + 123/65536*c_1100_1^8 + 485/131072*c_1100_1^7 + 165/32768*c_1100_1^6 + 143/4096*c_1100_1^5 + 181/2048*c_1100_1^4 + 47/512*c_1100_1^3 + 31/32*c_1100_1^2 + 119/32*c_1100_1 + 43/8, c_0101_1 + 21/67108864*c_1100_1^13 + 77/16777216*c_1100_1^12 + 745/16777216*c_1100_1^11 + 969/4194304*c_1100_1^10 + 1175/1048576*c_1100_1^9 + 1011/262144*c_1100_1^8 + 181/32768*c_1100_1^7 + 47/4096*c_1100_1^6 + 291/4096*c_1100_1^5 + 113/1024*c_1100_1^4 + 87/256*c_1100_1^3 + 137/64*c_1100_1^2 + 27/4*c_1100_1 + 15/2, c_0101_10 - 187/536870912*c_1100_1^13 - 339/67108864*c_1100_1^12 - 6511/134217728*c_1100_1^11 - 4169/16777216*c_1100_1^10 - 10067/8388608*c_1100_1^9 - 8593/2097152*c_1100_1^8 - 1429/262144*c_1100_1^7 - 1701/131072*c_1100_1^6 - 2609/32768*c_1100_1^5 - 505/4096*c_1100_1^4 - 757/2048*c_1100_1^3 - 1183/512*c_1100_1^2 - 431/64*c_1100_1 - 251/32, c_0101_2 - 1/16777216*c_1100_1^13 - 1/1048576*c_1100_1^12 - 41/4194304*c_1100_1^11 - 15/262144*c_1100_1^10 - 19/65536*c_1100_1^9 - 9/8192*c_1100_1^8 - 5/2048*c_1100_1^7 - 5/1024*c_1100_1^6 - 9/512*c_1100_1^5 - 3/64*c_1100_1^4 - 1/8*c_1100_1^3 - 1/2*c_1100_1^2 - 2*c_1100_1 - 4, c_0101_3 - 33/134217728*c_1100_1^13 - 31/8388608*c_1100_1^12 - 1221/33554432*c_1100_1^11 - 205/1048576*c_1100_1^10 - 2003/2097152*c_1100_1^9 - 1745/524288*c_1100_1^8 - 179/32768*c_1100_1^7 - 319/32768*c_1100_1^6 - 443/8192*c_1100_1^5 - 61/512*c_1100_1^4 - 149/512*c_1100_1^3 - 215/128*c_1100_1^2 - 49/8*c_1100_1 - 57/8, c_0101_5 + 187/536870912*c_1100_1^13 + 339/67108864*c_1100_1^12 + 6511/134217728*c_1100_1^11 + 4169/16777216*c_1100_1^10 + 10067/8388608*c_1100_1^9 + 8593/2097152*c_1100_1^8 + 1429/262144*c_1100_1^7 + 1701/131072*c_1100_1^6 + 2609/32768*c_1100_1^5 + 505/4096*c_1100_1^4 + 757/2048*c_1100_1^3 + 1183/512*c_1100_1^2 + 495/64*c_1100_1 + 251/32, c_0101_7 + 1/134217728*c_1100_1^13 + 3/33554432*c_1100_1^12 + 25/33554432*c_1100_1^11 + 23/8388608*c_1100_1^10 + 7/524288*c_1100_1^9 + 21/524288*c_1100_1^8 - 9/131072*c_1100_1^7 + 1/4096*c_1100_1^6 + 19/8192*c_1100_1^5 - 15/2048*c_1100_1^4 + 1/128*c_1100_1^3 + 19/128*c_1100_1^2 - 15/32*c_1100_1 + 1, c_1001_4 + 37/67108864*c_1100_1^13 + 257/33554432*c_1100_1^12 + 1219/16777216*c_1100_1^11 + 2977/8388608*c_1100_1^10 + 3647/2097152*c_1100_1^9 + 1477/262144*c_1100_1^8 + 863/131072*c_1100_1^7 + 641/32768*c_1100_1^6 + 495/4096*c_1100_1^5 + 319/2048*c_1100_1^4 + 301/512*c_1100_1^3 + 215/64*c_1100_1^2 + 325/32*c_1100_1 + 67/8, c_1100_1^14 + 16*c_1100_1^13 + 164*c_1100_1^12 + 960*c_1100_1^11 + 4864*c_1100_1^10 + 18432*c_1100_1^9 + 40960*c_1100_1^8 + 81920*c_1100_1^7 + 294912*c_1100_1^6 + 786432*c_1100_1^5 + 2097152*c_1100_1^4 + 8388608*c_1100_1^3 + 33554432*c_1100_1^2 + 67108864*c_1100_1 + 67108864 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.570 Total time: 0.770 seconds, Total memory usage: 32.09MB