Magma V2.19-8 Tue Aug 20 2013 23:40:28 on localhost [Seed = 3203979828] Type ? for help. Type -D to quit. Loading file "L11a319__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a319 geometric_solution 9.96454482 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 3 1 -4 -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 0.661896834384 1.070471903485 0 3 5 3 0132 1230 0132 2310 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 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 0.857715771911 0.994771410034 5 0 6 4 0132 0132 0132 0213 0 1 1 0 0 1 -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 0 0 0 0 -3 3 0 -3 0 0 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.207990604380 0.673882169393 1 5 1 0 3201 2103 3012 0132 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 0 0 0 0 0 0 0 0 0 1 0 -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 0.623159445194 0.267604697112 6 7 0 2 0132 0132 0132 0213 0 1 1 0 0 1 -1 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 -4 4 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784902471891 0.491961894057 2 3 8 1 0132 2103 0132 0132 1 1 0 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 0 0 0 0 1 -1 3 0 -4 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 0.661896834384 1.070471903485 4 9 8 2 0132 0132 3201 0132 0 1 0 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 3 -3 0 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 0.732395302888 0.623159445194 9 4 10 9 3012 0132 0132 0132 0 0 0 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.502844509397 0.576596682245 6 10 10 5 2310 3120 3201 0132 1 1 1 0 0 0 0 0 0 0 1 -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 1 0 -1 -1 0 -3 4 0 0 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582140457476 0.675795496576 10 6 7 7 2031 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.764060732812 1.252707364086 8 8 9 7 2310 3120 1302 0132 0 0 1 1 0 1 0 -1 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 -4 0 4 1 0 -1 0 3 0 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268288182681 0.849429969323 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_0011_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_4']), '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_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_1100_9' : d['c_0101_9'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0101_9'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_1001_0']), 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0011_10']), '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_4'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0101_1'], '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_10' : d['c_0101_7'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_5'], '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_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_9'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1528807903/1539*c_1001_2^11 + 139004541917/21546*c_1001_2^10 + 256926496187/10773*c_1001_2^9 + 1330267877039/21546*c_1001_2^8 + 836955072161/7182*c_1001_2^7 + 3481711046057/21546*c_1001_2^6 + 65747154395/399*c_1001_2^5 + 1322291511526/10773*c_1001_2^4 + 1409769771457/21546*c_1001_2^3 + 513802303009/21546*c_1001_2^2 + 115863755587/21546*c_1001_2 + 36145765/63, c_0011_0 - 1, c_0011_10 + 2401/2*c_1001_2^11 + 22589/4*c_1001_2^10 + 67213/4*c_1001_2^9 + 137275/4*c_1001_2^8 + 91967/2*c_1001_2^7 + 36307*c_1001_2^6 + 39461/4*c_1001_2^5 - 22065/2*c_1001_2^4 - 57077/4*c_1001_2^3 - 15289/2*c_1001_2^2 - 4229/2*c_1001_2 - 989/4, c_0011_4 + 147/2*c_1001_2^11 + 296*c_1001_2^10 + 3637/4*c_1001_2^9 + 3883/2*c_1001_2^8 + 12011/4*c_1001_2^7 + 14725/4*c_1001_2^6 + 15319/4*c_1001_2^5 + 3278*c_1001_2^4 + 4225/2*c_1001_2^3 + 3721/4*c_1001_2^2 + 991/4*c_1001_2 + 121/4, c_0011_8 - 2205/2*c_1001_2^11 - 7331*c_1001_2^10 - 107953/4*c_1001_2^9 - 139083/2*c_1001_2^8 - 519889/4*c_1001_2^7 - 707015/4*c_1001_2^6 - 698099/4*c_1001_2^5 - 124088*c_1001_2^4 - 62119*c_1001_2^3 - 83423/4*c_1001_2^2 - 16913/4*c_1001_2 - 1571/4, c_0101_0 - 1, c_0101_1 - 9555/4*c_1001_2^11 - 54699/4*c_1001_2^10 - 186517/4*c_1001_2^9 - 223495/2*c_1001_2^8 - 191935*c_1001_2^7 - 946615/4*c_1001_2^6 - 419161/2*c_1001_2^5 - 529143/4*c_1001_2^4 - 116229/2*c_1001_2^3 - 33727/2*c_1001_2^2 - 11569/4*c_1001_2 - 439/2, c_0101_5 - 9359/2*c_1001_2^11 - 116133/4*c_1001_2^10 - 206887/2*c_1001_2^9 - 1034871/4*c_1001_2^8 - 1871435/4*c_1001_2^7 - 2455017/4*c_1001_2^6 - 1167641/2*c_1001_2^5 - 399692*c_1001_2^4 - 770469/4*c_1001_2^3 - 248909/4*c_1001_2^2 - 48509/4*c_1001_2 - 1080, c_0101_7 + 1127/4*c_1001_2^11 + 9847/4*c_1001_2^10 + 40255/4*c_1001_2^9 + 56219/2*c_1001_2^8 + 113827/2*c_1001_2^7 + 333907/4*c_1001_2^6 + 88000*c_1001_2^5 + 263971/4*c_1001_2^4 + 68833/2*c_1001_2^3 + 23787/2*c_1001_2^2 + 9807/4*c_1001_2 + 457/2, c_0101_9 - 4067/4*c_1001_2^11 - 11799/2*c_1001_2^10 - 40323/2*c_1001_2^9 - 193671/4*c_1001_2^8 - 83245*c_1001_2^7 - 409539/4*c_1001_2^6 - 359797/4*c_1001_2^5 - 223673/4*c_1001_2^4 - 95929/4*c_1001_2^3 - 6722*c_1001_2^2 - 4403/4*c_1001_2 - 315/4, c_1001_0 - 4753/4*c_1001_2^11 - 16055/2*c_1001_2^10 - 29826*c_1001_2^9 - 309715/4*c_1001_2^8 - 291903/2*c_1001_2^7 - 801387/4*c_1001_2^6 - 798861/4*c_1001_2^5 - 573273/4*c_1001_2^4 - 289535/4*c_1001_2^3 - 24508*c_1001_2^2 - 20027/4*c_1001_2 - 1867/4, c_1001_2^12 + 328/49*c_1001_2^11 + 1244/49*c_1001_2^10 + 472/7*c_1001_2^9 + 6438/49*c_1001_2^8 + 9316/49*c_1001_2^7 + 10062/49*c_1001_2^6 + 8104/49*c_1001_2^5 + 4817/49*c_1001_2^4 + 2060/49*c_1001_2^3 + 86/7*c_1001_2^2 + 108/49*c_1001_2 + 9/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB