Magma V2.19-8 Wed Aug 21 2013 00:56:32 on localhost [Seed = 3086069113] Type ? for help. Type -D to quit. Loading file "L13n2668__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2668 geometric_solution 11.47909734 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 1 -2 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.411255245211 1.519820021777 0 2 4 5 0132 0213 0213 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 -6 6 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671915116462 0.353323735402 4 0 1 6 0213 0132 0213 0132 1 1 1 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 -6 6 0 6 0 -6 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221626454194 0.572119445139 5 7 5 0 0132 0132 2310 0132 1 1 1 1 0 0 0 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 0 0 0 0 0 -1 0 1 -5 0 5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221626454194 0.572119445139 2 1 0 8 0213 0213 0132 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 0 -1 1 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 0.221626454194 0.572119445139 3 3 1 6 0132 3201 0132 2103 1 1 1 1 0 0 0 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 0 0 0 5 0 0 -5 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834103292927 0.613081875289 8 9 2 5 0321 0132 0132 2103 1 1 1 1 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 0 0 0 1 0 -6 5 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686827291665 1.896097212260 8 3 10 9 3201 0132 0132 0132 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 -1 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727328632011 0.643797202164 6 11 4 7 0321 0132 0132 2310 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 -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 1.823300966360 0.993032749743 11 6 7 10 2310 0132 0132 0321 1 1 1 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 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.944069048087 0.605243634344 12 9 12 7 0132 0321 0213 0132 1 1 1 1 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 -1 1 -1 0 1 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749690799344 0.883262943033 12 8 9 12 3201 0132 3201 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 -1 0 1 -1 0 6 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441442005160 0.658076074574 10 10 11 11 0132 0213 2031 2310 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 1 -1 0 1 0 -1 0 0 -1 0 1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296994290851 1.048000036410 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_12' : negation(d['c_0110_11']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0110_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1001_0'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : negation(d['c_0011_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_12' : 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_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0110_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_1001_3']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_0101_9']), 'c_1100_8' : negation(d['c_0011_3']), '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'], 'c_1100_12' : d['c_0011_11'], '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_6']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_0']), '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_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_6'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], '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' : negation(d['c_0011_0']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0110_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_9'], 'c_0110_6' : d['c_0011_11']})} 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_0011_6, c_0101_0, c_0101_3, c_0101_6, c_0101_9, c_0110_11, c_1001_0, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 123840115662937/225055360000*c_1001_3^18 + 3851254060012607/450110720000*c_1001_3^17 - 50159035384455891/900221440000*c_1001_3^16 + 21775718746459421/112527680000*c_1001_3^15 - 672508208312171523/1800442880000*c_1001_3^14 + 539075670307746953/1440354304000*c_1001_3^13 - 2900243256543758043/14403543040000*c_1001_3^12 + 1126560182150803289/3600885760000*c_1001_3^11 - 4243689271805519619/7201771520000*c_1001_3^10 + 1927138664958803911/7201771520000*c_1001_3^9 + 1231008358852128947/14403543040000*c_1001_3^8 + 538147769578441439/1800442880000*c_1001_3^7 - 200111239503781191/720177152000*c_1001_3^6 - 48997465349245181/288070860800*c_1001_3^5 - 574251609088947269/14403543040000*c_1001_3^4 + 417438741906687497/3600885760000*c_1001_3^3 + 499641429307208197/7201771520000*c_1001_3^2 + 88638658343495889/7201771520000*c_1001_3 - 28372095550279299/14403543040000, c_0011_0 - 1, c_0011_10 - 1369/64*c_1001_3^18 + 35119/128*c_1001_3^17 - 349299/256*c_1001_3^16 + 98273/32*c_1001_3^15 - 1113595/512*c_1001_3^14 - 3955955/2048*c_1001_3^13 - 1529131/4096*c_1001_3^12 + 7908605/1024*c_1001_3^11 + 1356999/2048*c_1001_3^10 - 17862741/2048*c_1001_3^9 - 31600793/4096*c_1001_3^8 + 2509011/512*c_1001_3^7 + 11350911/1024*c_1001_3^6 + 9791123/2048*c_1001_3^5 - 15124333/4096*c_1001_3^4 - 6074899/1024*c_1001_3^3 - 6931305/2048*c_1001_3^2 - 1948059/2048*c_1001_3 - 474687/4096, c_0011_11 + 757/16*c_1001_3^18 - 19235/32*c_1001_3^17 + 189079/64*c_1001_3^16 - 26147/4*c_1001_3^15 + 565359/128*c_1001_3^14 + 2178343/512*c_1001_3^13 + 1182511/1024*c_1001_3^12 - 4198775/256*c_1001_3^11 - 1109339/512*c_1001_3^10 + 9264843/512*c_1001_3^9 + 17373981/1024*c_1001_3^8 - 1203925/128*c_1001_3^7 - 5944543/256*c_1001_3^6 - 5457107/512*c_1001_3^5 + 7350569/1024*c_1001_3^4 + 3131577/256*c_1001_3^3 + 3634253/512*c_1001_3^2 + 1032545/512*c_1001_3 + 252923/1024, c_0011_3 - 215/16*c_1001_3^18 + 5461/32*c_1001_3^17 - 53649/64*c_1001_3^16 + 59269/32*c_1001_3^15 - 158937/128*c_1001_3^14 - 630197/512*c_1001_3^13 - 308473/1024*c_1001_3^12 + 2371023/512*c_1001_3^11 + 82863/128*c_1001_3^10 - 1324673/256*c_1001_3^9 - 4915137/1024*c_1001_3^8 + 683861/256*c_1001_3^7 + 846747/128*c_1001_3^6 + 1538643/512*c_1001_3^5 - 2108115/1024*c_1001_3^4 - 1779609/512*c_1001_3^3 - 255989/128*c_1001_3^2 - 71623/128*c_1001_3 - 68483/1024, c_0011_6 + 929/16*c_1001_3^18 - 23631/32*c_1001_3^17 + 232579/64*c_1001_3^16 - 128853/16*c_1001_3^15 + 698691/128*c_1001_3^14 + 2690011/512*c_1001_3^13 + 1379595/1024*c_1001_3^12 - 161675/8*c_1001_3^11 - 1323643/512*c_1001_3^10 + 11468013/512*c_1001_3^9 + 21312129/1024*c_1001_3^8 - 187745/16*c_1001_3^7 - 7335839/256*c_1001_3^6 - 6672851/512*c_1001_3^5 + 9152909/1024*c_1001_3^4 + 483005/32*c_1001_3^3 + 4467005/512*c_1001_3^2 + 1263787/512*c_1001_3 + 308055/1024, c_0101_0 - 1, c_0101_3 + 215/16*c_1001_3^18 - 5461/32*c_1001_3^17 + 53649/64*c_1001_3^16 - 59269/32*c_1001_3^15 + 158937/128*c_1001_3^14 + 630197/512*c_1001_3^13 + 308473/1024*c_1001_3^12 - 2371023/512*c_1001_3^11 - 82863/128*c_1001_3^10 + 1324673/256*c_1001_3^9 + 4915137/1024*c_1001_3^8 - 683861/256*c_1001_3^7 - 846747/128*c_1001_3^6 - 1538643/512*c_1001_3^5 + 2108115/1024*c_1001_3^4 + 1779609/512*c_1001_3^3 + 255989/128*c_1001_3^2 + 71623/128*c_1001_3 + 68483/1024, c_0101_6 - c_1001_3, c_0101_9 - 5/64*c_1001_3^18 + 131/128*c_1001_3^17 - 1335/256*c_1001_3^16 + 387/32*c_1001_3^15 - 4607/512*c_1001_3^14 - 16407/2048*c_1001_3^13 + 49/4096*c_1001_3^12 + 32901/1024*c_1001_3^11 + 1931/2048*c_1001_3^10 - 80961/2048*c_1001_3^9 - 133637/4096*c_1001_3^8 + 12619/512*c_1001_3^7 + 54195/1024*c_1001_3^6 + 48695/2048*c_1001_3^5 - 73705/4096*c_1001_3^4 - 33451/1024*c_1001_3^3 - 48197/2048*c_1001_3^2 - 21423/2048*c_1001_3 - 9971/4096, c_0110_11 - 31/64*c_1001_3^18 + 817/128*c_1001_3^17 - 8413/256*c_1001_3^16 + 4987/64*c_1001_3^15 - 32381/512*c_1001_3^14 - 89221/2048*c_1001_3^13 + 27211/4096*c_1001_3^12 + 50123/256*c_1001_3^11 - 38835/2048*c_1001_3^10 - 495757/2048*c_1001_3^9 - 665071/4096*c_1001_3^8 + 46057/256*c_1001_3^7 + 301013/1024*c_1001_3^6 + 169201/2048*c_1001_3^5 - 566915/4096*c_1001_3^4 - 5361/32*c_1001_3^3 - 170291/2048*c_1001_3^2 - 38831/2048*c_1001_3 - 6633/4096, c_1001_0 + 757/16*c_1001_3^18 - 19235/32*c_1001_3^17 + 189079/64*c_1001_3^16 - 26147/4*c_1001_3^15 + 565359/128*c_1001_3^14 + 2178343/512*c_1001_3^13 + 1182511/1024*c_1001_3^12 - 4198775/256*c_1001_3^11 - 1109339/512*c_1001_3^10 + 9264843/512*c_1001_3^9 + 17373981/1024*c_1001_3^8 - 1203925/128*c_1001_3^7 - 5944543/256*c_1001_3^6 - 5457107/512*c_1001_3^5 + 7350569/1024*c_1001_3^4 + 3131577/256*c_1001_3^3 + 3634253/512*c_1001_3^2 + 1032545/512*c_1001_3 + 252923/1024, c_1001_1 - 271/8*c_1001_3^18 + 6887/16*c_1001_3^17 - 67715/32*c_1001_3^16 + 149907/32*c_1001_3^15 - 203211/64*c_1001_3^14 - 774073/256*c_1001_3^13 - 437019/512*c_1001_3^12 + 6026527/512*c_1001_3^11 + 777887/512*c_1001_3^10 - 6615497/512*c_1001_3^9 - 3114711/256*c_1001_3^8 + 1723989/256*c_1001_3^7 + 4251049/256*c_1001_3^6 + 30613/4*c_1001_3^5 - 2621227/512*c_1001_3^4 - 4483545/512*c_1001_3^3 - 2610297/512*c_1001_3^2 - 746053/512*c_1001_3 - 23055/128, c_1001_3^19 - 29/2*c_1001_3^18 + 341/4*c_1001_3^17 - 1001/4*c_1001_3^16 + 2731/8*c_1001_3^15 - 2489/32*c_1001_3^14 - 8751/64*c_1001_3^13 - 24989/64*c_1001_3^12 + 18433/32*c_1001_3^11 + 929/2*c_1001_3^10 - 20977/64*c_1001_3^9 - 53847/64*c_1001_3^8 - 2139/16*c_1001_3^7 + 20955/32*c_1001_3^6 + 35487/64*c_1001_3^5 - 907/64*c_1001_3^4 - 10023/32*c_1001_3^3 - 3609/16*c_1001_3^2 - 4527/64*c_1001_3 - 593/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.520 seconds, Total memory usage: 32.09MB