Magma V2.19-8 Wed Aug 21 2013 01:01:09 on localhost [Seed = 1747874708] Type ? for help. Type -D to quit. Loading file "L14a20450__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20450 geometric_solution 10.53176076 oriented_manifold CS_known 0.0000000000000008 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0213 0132 0132 0 1 1 1 0 0 0 0 1 0 -1 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 -1 0 1 -6 0 7 -1 0 6 0 -6 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784202578789 1.245327065486 0 4 0 4 0132 0132 0213 0213 0 1 1 1 0 0 0 0 -1 0 1 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 0 1 -1 6 0 -6 0 -7 7 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637917718684 0.574992836102 4 3 5 0 0213 0132 0132 0132 0 1 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 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282268349574 0.248770635148 5 2 0 6 0132 0132 0132 0132 0 1 1 1 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 0 -1 1 0 0 1 -1 -6 0 0 6 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252465546731 1.385164750932 2 1 7 1 0213 0132 0132 0213 0 1 1 1 0 0 0 0 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 0 -1 1 0 0 0 0 -7 7 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637917718684 0.574992836102 3 6 8 2 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 -1 1 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 6 -6 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818376857762 1.406731606399 7 5 3 8 0321 0132 0132 0132 0 1 1 1 0 0 0 0 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 0 -1 1 -1 0 1 0 -7 0 0 7 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.454753228282 0.446439294434 6 9 9 4 0321 0132 0321 0132 0 1 1 1 0 1 -1 0 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 -8 7 1 0 0 0 0 7 0 0 -7 1 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365390818979 0.612252685257 10 9 6 5 0132 0321 0132 0132 0 1 1 1 0 0 0 0 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 1 -1 0 0 0 0 0 0 -6 0 6 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.281241468969 1.204359326556 10 7 7 8 3012 0132 0321 0321 0 1 1 1 0 -1 1 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 8 -7 -1 0 0 7 -7 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365390818979 0.612252685257 8 11 11 9 0132 0132 1023 1230 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 0.121393327731 0.360827732655 12 10 10 12 0132 0132 1023 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 1.713068601516 0.748863159342 11 12 12 11 0132 1230 3012 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 1.729038804277 0.146934891025 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_2'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_4'], 'c_1001_8' : d['c_1001_5'], 'c_1010_12' : d['c_0101_12'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_0101_10'], '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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1001_4'], 'c_1100_7' : d['c_1001_4'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_5'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_5'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(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_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_7']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0011_7']), 'c_0110_12' : d['c_0101_11'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_7']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_5'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_7' : d['c_0011_2'], 'c_0110_6' : negation(d['c_0011_7'])})} 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_2, c_0011_7, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_1001_0, c_1001_2, c_1001_4, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 646826115724625419/1572321103491950*c_1100_0^23 - 6219480854285927483/1572321103491950*c_1100_0^22 - 14956670395885185188/786160551745975*c_1100_0^21 - 14378680352600788879/224617300498850*c_1100_0^20 - 135475975796495800612/786160551745975*c_1100_0^19 - 307594387590156892367/786160551745975*c_1100_0^18 - 605169894011743472089/786160551745975*c_1100_0^17 - 1053024329319510208602/786160551745975*c_1100_0^16 - 234582696552450787568/112308650249425*c_1100_0^15 - 660744059828591981289/224617300498850*c_1100_0^14 - 5915693618095825902781/1572321103491950*c_1100_0^13 - 3447386166022659518939/786160551745975*c_1100_0^12 - 3665043337217021354586/786160551745975*c_1100_0^11 - 1014903385734710044593/224617300498850*c_1100_0^10 - 3129697265660453107972/786160551745975*c_1100_0^9 - 2493820691996927194178/786160551745975*c_1100_0^8 - 1783405601768009696756/786160551745975*c_1100_0^7 - 1128961195455349382356/786160551745975*c_1100_0^6 - 123938720266801723071/157232110349195*c_1100_0^5 - 1629943759034599968/4492346009977*c_1100_0^4 - 102944357410515648522/786160551745975*c_1100_0^3 - 23939663767062049124/786160551745975*c_1100_0^2 - 167757075100158429/157232110349195*c_1100_0 + 1701470186934082298/786160551745975, c_0011_0 - 1, c_0011_10 - c_1100_0^10 - 4*c_1100_0^9 - 8*c_1100_0^8 - 14*c_1100_0^7 - 20*c_1100_0^6 - 22*c_1100_0^5 - 21*c_1100_0^4 - 16*c_1100_0^3 - 10*c_1100_0^2 - 4*c_1100_0 - 1, c_0011_2 + c_1100_0^2, c_0011_7 - c_1100_0^6 - 2*c_1100_0^5 - 2*c_1100_0^4 - 4*c_1100_0^3 - 3*c_1100_0^2 - 2*c_1100_0 - 1, c_0101_0 - c_1100_0 + 1, c_0101_10 + c_1100_0^3 + c_1100_0^2 + c_1100_0 + 1, c_0101_11 - c_1100_0^14 - 6*c_1100_0^13 - 18*c_1100_0^12 - 40*c_1100_0^11 - 73*c_1100_0^10 - 110*c_1100_0^9 - 141*c_1100_0^8 - 156*c_1100_0^7 - 149*c_1100_0^6 - 122*c_1100_0^5 - 84*c_1100_0^4 - 48*c_1100_0^3 - 21*c_1100_0^2 - 6*c_1100_0, c_0101_12 - c_1100_0^21 - 9*c_1100_0^20 - 40*c_1100_0^19 - 124*c_1100_0^18 - 308*c_1100_0^17 - 644*c_1100_0^16 - 1162*c_1100_0^15 - 1846*c_1100_0^14 - 2612*c_1100_0^13 - 3312*c_1100_0^12 - 3778*c_1100_0^11 - 3880*c_1100_0^10 - 3581*c_1100_0^9 - 2957*c_1100_0^8 - 2164*c_1100_0^7 - 1384*c_1100_0^6 - 758*c_1100_0^5 - 340*c_1100_0^4 - 116*c_1100_0^3 - 24*c_1100_0^2 - c_1100_0 + 1, c_1001_0 - 1, c_1001_2 - c_1100_0^2 - c_1100_0 - 1, c_1001_4 - c_1100_0, c_1001_5 - c_1100_0^5 - 2*c_1100_0^4 - 2*c_1100_0^3 - 3*c_1100_0^2 - 2*c_1100_0 - 1, c_1100_0^24 + 10*c_1100_0^23 + 50*c_1100_0^22 + 174*c_1100_0^21 + 482*c_1100_0^20 + 1124*c_1100_0^19 + 2270*c_1100_0^18 + 4052*c_1100_0^17 + 6481*c_1100_0^16 + 9366*c_1100_0^15 + 12300*c_1100_0^14 + 14734*c_1100_0^13 + 16124*c_1100_0^12 + 16118*c_1100_0^11 + 14688*c_1100_0^10 + 12152*c_1100_0^9 + 9070*c_1100_0^8 + 6042*c_1100_0^7 + 3534*c_1100_0^6 + 1770*c_1100_0^5 + 726*c_1100_0^4 + 220*c_1100_0^3 + 36*c_1100_0^2 - 4*c_1100_0 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.470 seconds, Total memory usage: 32.09MB