Magma V2.19-8 Tue Aug 20 2013 23:47:45 on localhost [Seed = 239625312] Type ? for help. Type -D to quit. Loading file "L11n162__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n162 geometric_solution 10.99510257 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 1 -1 0 -4 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817751707220 0.708865632716 0 5 6 4 0132 0132 0132 1230 0 0 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 0 1 -1 0 0 0 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729712388833 0.719185528549 7 0 6 8 0132 0132 3012 0132 1 0 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 -1 0 1 -1 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.857734886820 0.588430764676 9 7 10 0 0132 0132 0132 0132 1 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 0 0 0 0 0 0 2 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 0.458195731537 0.490995074108 1 9 0 8 3012 0213 0132 3120 1 0 0 1 0 0 0 0 1 0 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 1 -1 1 0 1 -2 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680737880202 0.845424846511 9 1 6 7 1023 0132 1302 1023 0 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 0 0 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 0.476405610951 0.940373947247 5 2 11 1 2031 1230 0132 0132 0 0 1 1 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 0 0 0 0 0 1 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.189505444219 1.416011973302 2 3 11 5 0132 0132 2103 1023 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 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 0.286121274425 0.841941390849 4 11 2 10 3120 2103 0132 2310 1 0 0 1 0 0 0 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 0 -1 1 2 0 0 -2 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404093815435 0.516950393299 3 5 4 10 0132 1023 0213 0321 1 0 1 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715469773640 1.176861529352 8 9 11 3 3201 0321 3120 0132 1 0 1 0 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 -1 0 0 1 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957522214401 0.830653378247 7 8 10 6 2103 2103 3120 0132 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 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 0.372813213860 0.230913669872 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_6']), 'c_1001_8' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0110_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_11']), 'c_1100_3' : negation(d['c_0101_11']), 'c_1100_2' : d['c_0011_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : 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_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0011_4'], 'c_0101_8' : d['c_0101_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0011_4'], 'c_1100_9' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_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_0011_8, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1456628386883/2050857063*c_0110_5^9 + 8635491231041/12305142378*c_0110_5^8 - 42264570721457/12305142378*c_0110_5^7 + 85087572224035/12305142378*c_0110_5^6 - 9422261550868/683619021*c_0110_5^5 + 178578045389441/12305142378*c_0110_5^4 - 88706036875501/6152571189*c_0110_5^3 + 96561680732507/12305142378*c_0110_5^2 - 25137613475543/6152571189*c_0110_5 - 2132655673849/12305142378, c_0011_0 - 1, c_0011_10 + 296352/312583*c_0110_5^9 - 112893/625166*c_0110_5^8 + 2240779/625166*c_0110_5^7 - 1963995/312583*c_0110_5^6 + 3075903/312583*c_0110_5^5 - 3969513/625166*c_0110_5^4 + 1462127/312583*c_0110_5^3 - 532997/625166*c_0110_5^2 - 130323/312583*c_0110_5 - 432267/625166, c_0011_11 - c_0110_5, c_0011_4 - 1, c_0011_6 + 75789/312583*c_0110_5^9 + 69591/312583*c_0110_5^8 + 313939/312583*c_0110_5^7 - 171149/312583*c_0110_5^6 + 494581/312583*c_0110_5^5 + 245070/312583*c_0110_5^4 + 557128/312583*c_0110_5^3 - 61476/312583*c_0110_5^2 + 567317/312583*c_0110_5 - 89064/312583, c_0011_8 + 223803/312583*c_0110_5^9 + 278997/312583*c_0110_5^8 + 908123/312583*c_0110_5^7 - 305399/312583*c_0110_5^6 + 704139/312583*c_0110_5^5 + 1079921/312583*c_0110_5^4 + 525699/312583*c_0110_5^3 + 571357/312583*c_0110_5^2 + 504562/312583*c_0110_5 - 37503/312583, c_0101_1 - 385416/312583*c_0110_5^9 + 80067/625166*c_0110_5^8 - 3211225/625166*c_0110_5^7 + 2392256/312583*c_0110_5^6 - 4418842/312583*c_0110_5^5 + 5771023/625166*c_0110_5^4 - 3191597/312583*c_0110_5^3 + 784389/625166*c_0110_5^2 - 283209/312583*c_0110_5 - 136577/625166, c_0101_10 + 1777677/625166*c_0110_5^9 + 1041625/1250332*c_0110_5^8 + 15181441/1250332*c_0110_5^7 - 8318059/625166*c_0110_5^6 + 8354471/312583*c_0110_5^5 - 15807321/1250332*c_0110_5^4 + 6012384/312583*c_0110_5^3 + 2505127/1250332*c_0110_5^2 + 974024/312583*c_0110_5 - 477327/1250332, c_0101_11 - 282243/625166*c_0110_5^9 + 525173/625166*c_0110_5^8 - 505605/312583*c_0110_5^7 + 1962081/312583*c_0110_5^6 - 5316183/625166*c_0110_5^5 + 3477073/312583*c_0110_5^4 - 4011067/625166*c_0110_5^3 + 1710867/312583*c_0110_5^2 + 1255001/625166*c_0110_5 + 296352/312583, c_0101_2 + 166917/625166*c_0110_5^9 + 196325/312583*c_0110_5^8 + 539771/625166*c_0110_5^7 + 204175/312583*c_0110_5^6 - 1023109/625166*c_0110_5^5 + 3270359/625166*c_0110_5^4 - 1069283/625166*c_0110_5^3 + 1409555/625166*c_0110_5^2 - 253835/625166*c_0110_5 - 136577/625166, c_0101_6 + 166917/625166*c_0110_5^9 - 545099/625166*c_0110_5^8 + 113594/312583*c_0110_5^7 - 1671323/312583*c_0110_5^6 + 3353053/625166*c_0110_5^5 - 2272108/312583*c_0110_5^4 + 1431381/625166*c_0110_5^3 - 1952178/312583*c_0110_5^2 - 879001/625166*c_0110_5 - 224580/312583, c_0110_5^10 - 2/3*c_0110_5^9 + 14/3*c_0110_5^8 - 25/3*c_0110_5^7 + 17*c_0110_5^6 - 47/3*c_0110_5^5 + 50/3*c_0110_5^4 - 23/3*c_0110_5^3 + 16/3*c_0110_5^2 + 1/3*c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB