Magma V2.19-8 Wed Aug 21 2013 00:51:52 on localhost [Seed = 492505171] Type ? for help. Type -D to quit. Loading file "L11n300__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n300 geometric_solution 11.66385491 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3201 0132 0132 2 2 2 2 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.455727184562 1.394590739055 0 4 0 5 0132 0132 2310 0132 2 2 2 2 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576794248946 0.652339213161 5 6 6 0 0132 0132 1302 0132 2 2 2 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402164473052 0.602161531876 7 8 0 9 0132 0132 0132 0132 2 2 0 2 0 0 0 0 -1 0 0 1 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 -1 1 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713731346072 0.837892522618 6 1 10 8 3201 0132 0132 2103 2 1 2 2 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 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 0.406408653700 0.634992870772 2 11 1 12 0132 0132 0132 0132 2 2 1 2 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 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 1.110541331777 0.704619100396 2 2 12 4 2031 0132 0132 2310 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 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 0.233000569284 1.148429518505 3 11 10 12 0132 3201 1023 3201 1 2 2 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 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 0.881144255784 0.922172408497 9 3 10 4 0213 0132 2103 2103 2 1 2 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 0 0 0 0 -1 0 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 0.818740200651 0.533338264908 8 11 3 12 0213 2031 0132 1230 2 2 1 0 0 0 0 0 1 0 -1 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 0 -1 1 1 0 0 -1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318740200651 0.533338264908 8 11 7 4 2103 0321 1023 0132 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.571248175602 1.680838839616 9 5 7 10 1302 0132 2310 0321 2 0 2 1 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 -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 0.843772298480 0.425142620461 9 7 5 6 3012 2310 0132 0132 2 2 2 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.355175296418 0.436873305985 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0101_1']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0011_9'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_4']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_6'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_1001_1']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_0'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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' : d['c_0011_11'], 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_4'])})} 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_12, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_1001_1, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 8696785689475/34074658341856*c_1001_4^5 + 32148018212755/34074658341856*c_1001_4^4 - 3587114278513/2004391667168*c_1001_4^3 + 89294542311/4259332292732*c_1001_4^2 + 62840610362687/17037329170928*c_1001_4 - 103132314451737/34074658341856, c_0011_0 - 1, c_0011_10 - 4928975/63094676*c_1001_4^5 + 6350505/63094676*c_1001_4^4 + 1879639/63094676*c_1001_4^3 - 20375919/31547338*c_1001_4^2 - 961238/15773669*c_1001_4 + 92329749/63094676, c_0011_11 - 1, c_0011_12 - 74909125/268152373*c_1001_4^5 + 185462475/268152373*c_1001_4^4 - 12282075/15773669*c_1001_4^3 - 267283132/268152373*c_1001_4^2 + 496477806/268152373*c_1001_4 + 1211299941/268152373, c_0011_3 - 1, c_0011_9 + 141565725/536304746*c_1001_4^5 - 305957105/536304746*c_1001_4^4 + 18632103/31547338*c_1001_4^3 + 465086883/268152373*c_1001_4^2 - 430219205/268152373*c_1001_4 - 1785765213/536304746, c_0101_0 + 1174525/268152373*c_1001_4^5 + 15793780/268152373*c_1001_4^4 - 3948983/15773669*c_1001_4^3 + 111554239/268152373*c_1001_4^2 - 43483738/268152373*c_1001_4 + 3718780/268152373, c_0101_1 - 21127675/268152373*c_1001_4^5 + 55646665/268152373*c_1001_4^4 - 5194004/15773669*c_1001_4^3 - 87980986/268152373*c_1001_4^2 + 170163096/268152373*c_1001_4 + 227929922/268152373, c_0101_4 + 75277300/268152373*c_1001_4^5 - 90901115/268152373*c_1001_4^4 + 7003499/15773669*c_1001_4^3 + 557167991/268152373*c_1001_4^2 + 26156263/268152373*c_1001_4 - 614538131/268152373, c_0101_6 - 24394875/268152373*c_1001_4^5 + 32688500/268152373*c_1001_4^4 - 2062130/15773669*c_1001_4^3 - 189175804/268152373*c_1001_4^2 + 113910736/268152373*c_1001_4 + 410801598/268152373, c_1001_1 + 58891325/268152373*c_1001_4^5 - 100629235/268152373*c_1001_4^4 + 7388271/15773669*c_1001_4^3 + 334422502/268152373*c_1001_4^2 - 161498727/268152373*c_1001_4 - 718359251/268152373, c_1001_11 + 6284400/268152373*c_1001_4^5 + 44980355/268152373*c_1001_4^4 - 3648783/15773669*c_1001_4^3 + 266674595/268152373*c_1001_4^2 + 389484618/268152373*c_1001_4 + 577175/268152373, c_1001_4^6 - 14/5*c_1001_4^5 + 104/25*c_1001_4^4 + 97/25*c_1001_4^3 - 42/5*c_1001_4^2 - 219/25*c_1001_4 + 361/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB