Magma V2.19-8 Wed Aug 21 2013 01:03:22 on localhost [Seed = 3263486670] Type ? for help. Type -D to quit. Loading file "L14n19921__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n19921 geometric_solution 12.87441766 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1023 1 1 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 -5 0 5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774455417006 0.794296194272 0 4 6 5 0132 0132 0132 0132 1 1 1 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491918497534 0.963604724766 4 0 7 0 3120 0132 0132 1023 1 1 1 1 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 -1 0 1 0 0 -1 1 4 1 0 -5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.774455417006 0.794296194272 8 6 7 0 0132 1023 0321 0132 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 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 0.491918497534 0.963604724766 6 1 9 2 1302 0132 0132 3120 1 1 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 -1 5 0 0 0 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579742856951 0.823229398140 10 10 1 11 0132 1230 0132 0132 1 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 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 0.444018934530 0.915158326536 3 4 7 1 1023 2031 2310 0132 1 1 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.225544582994 0.794296194272 11 6 3 2 3201 3201 0321 0132 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 -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 0.491918497534 0.963604724766 3 9 10 9 0132 3012 0132 2031 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 -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 0.444018934530 0.915158326536 8 8 12 4 1230 1302 0132 0132 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 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 0.484882836798 0.798128916702 5 12 5 8 0132 1023 3012 0132 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570858366044 0.884495027208 12 12 5 7 1023 0213 0132 2310 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 -1 0 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444018934530 0.915158326536 10 11 11 9 1023 1023 0213 0132 1 1 1 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 0 0 -1 1 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484882836798 0.798128916702 ==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_0011_10'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0110_2'], 'c_1001_9' : d['c_0101_3'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : 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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : negation(d['c_1001_4']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_2'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0110_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0011_9'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_2']), 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0011_10'], 'c_0011_6' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_3'], '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_0110_2'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_2'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_1001_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_3, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_6, c_0110_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 214287237556297291/113872766224455*c_1001_4^9 - 434121424812397298/37957588741485*c_1001_4^8 - 3096702311636270507/113872766224455*c_1001_4^7 + 71498326272523312/7591517748297*c_1001_4^6 + 1220033920005421133/113872766224455*c_1001_4^5 - 9832319907503269312/37957588741485*c_1001_4^4 - 48816843951787386634/113872766224455*c_1001_4^3 - 8107211331511273036/16267538032065*c_1001_4^2 - 80729626254278246641/113872766224455*c_1001_4 + 295779552943708238/12652529580495, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 77753131/5785335885*c_1001_4^9 + 83786627/1157067177*c_1001_4^8 + 870320047/5785335885*c_1001_4^7 - 791213578/5785335885*c_1001_4^6 + 474769984/5785335885*c_1001_4^5 + 657327246/385689059*c_1001_4^4 + 10523454989/5785335885*c_1001_4^3 + 893466211/275492185*c_1001_4^2 + 6056289819/1928445295*c_1001_4 - 27582693/385689059, c_0011_7 + 77753131/5785335885*c_1001_4^9 + 83786627/1157067177*c_1001_4^8 + 870320047/5785335885*c_1001_4^7 - 791213578/5785335885*c_1001_4^6 + 474769984/5785335885*c_1001_4^5 + 657327246/385689059*c_1001_4^4 + 10523454989/5785335885*c_1001_4^3 + 893466211/275492185*c_1001_4^2 + 6056289819/1928445295*c_1001_4 - 27582693/385689059, c_0011_9 + 9892482/1928445295*c_1001_4^9 + 34385023/1157067177*c_1001_4^8 + 400126652/5785335885*c_1001_4^7 - 145811863/5785335885*c_1001_4^6 + 64280674/5785335885*c_1001_4^5 + 758161354/1157067177*c_1001_4^4 + 2023684933/1928445295*c_1001_4^3 + 1559170573/826476555*c_1001_4^2 + 2576322594/1928445295*c_1001_4 + 8970348/385689059, c_0101_0 - 4047037/1157067177*c_1001_4^9 - 51044776/1928445295*c_1001_4^8 - 28598405/385689059*c_1001_4^7 - 94503866/5785335885*c_1001_4^6 + 643993454/5785335885*c_1001_4^5 - 3405861532/5785335885*c_1001_4^4 - 1726192655/1157067177*c_1001_4^3 - 606089696/826476555*c_1001_4^2 - 6272831301/1928445295*c_1001_4 + 92376318/1928445295, c_0101_1 - 5059683/1928445295*c_1001_4^9 - 29718448/1157067177*c_1001_4^8 - 478305493/5785335885*c_1001_4^7 - 350269678/5785335885*c_1001_4^6 + 320537563/1928445295*c_1001_4^5 - 214231480/385689059*c_1001_4^4 - 9747900791/5785335885*c_1001_4^3 - 812464852/826476555*c_1001_4^2 - 19999799248/5785335885*c_1001_4 + 79738014/385689059, c_0101_10 - 2990116/1157067177*c_1001_4^9 - 20008678/1928445295*c_1001_4^8 - 7476601/1157067177*c_1001_4^7 + 489830132/5785335885*c_1001_4^6 - 23686321/1928445295*c_1001_4^5 - 1998899366/5785335885*c_1001_4^4 + 36435394/385689059*c_1001_4^3 + 333344257/826476555*c_1001_4^2 + 5517034631/5785335885*c_1001_4 + 2755729554/1928445295, c_0101_2 - 4047037/1157067177*c_1001_4^9 - 51044776/1928445295*c_1001_4^8 - 28598405/385689059*c_1001_4^7 - 94503866/5785335885*c_1001_4^6 + 643993454/5785335885*c_1001_4^5 - 3405861532/5785335885*c_1001_4^4 - 1726192655/1157067177*c_1001_4^3 - 606089696/826476555*c_1001_4^2 - 6272831301/1928445295*c_1001_4 + 92376318/1928445295, c_0101_3 + c_1001_4, c_0101_6 - 757352/134542695*c_1001_4^9 - 144772/8969513*c_1001_4^8 - 559828/44847565*c_1001_4^7 + 17547076/134542695*c_1001_4^6 - 38563738/134542695*c_1001_4^5 - 3643520/26908539*c_1001_4^4 - 30971218/134542695*c_1001_4^3 - 7182176/19220385*c_1001_4^2 + 26351032/44847565*c_1001_4 - 259135/8969513, c_0110_2 - 5059683/1928445295*c_1001_4^9 - 29718448/1157067177*c_1001_4^8 - 478305493/5785335885*c_1001_4^7 - 350269678/5785335885*c_1001_4^6 + 320537563/1928445295*c_1001_4^5 - 214231480/385689059*c_1001_4^4 - 9747900791/5785335885*c_1001_4^3 - 812464852/826476555*c_1001_4^2 - 19999799248/5785335885*c_1001_4 + 79738014/385689059, c_1001_4^10 + 6*c_1001_4^9 + 14*c_1001_4^8 - 6*c_1001_4^7 - 5*c_1001_4^6 + 138*c_1001_4^5 + 217*c_1001_4^4 + 250*c_1001_4^3 + 361*c_1001_4^2 - 36*c_1001_4 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.460 Total time: 0.670 seconds, Total memory usage: 32.09MB