Magma V2.19-8 Wed Aug 21 2013 00:25:15 on localhost [Seed = 4240109537] Type ? for help. Type -D to quit. Loading file "K14n14092__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n14092 geometric_solution 11.47568775 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 -1 1 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815458443866 1.411324090145 0 5 4 6 0132 0132 1230 0132 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 6 -6 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520685325116 0.297842829615 3 0 8 7 1023 0132 0132 0132 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 1 0 -1 0 0 0 0 7 -6 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.255840314967 1.230394426468 6 2 5 0 0132 1023 2031 0132 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 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473880751436 0.453891735529 9 10 0 1 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0.546330819588 1.447756849698 11 1 9 3 0132 0132 0213 1302 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 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430748681017 1.449214756736 3 11 1 12 0132 0132 0132 0132 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 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689098529373 0.627054575186 8 10 2 8 1302 1302 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.279601123647 0.867425438595 11 7 7 2 2310 2031 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.630486041451 0.358344333808 4 5 12 12 0132 0213 0132 1230 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 1 -1 0 0 1 -1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.162925184284 1.216995748319 11 4 12 7 3012 0132 3012 2031 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 -1 1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.004244484451 0.977734193075 5 6 8 10 0132 0132 3201 1230 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 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.742745377053 0.472848335379 9 10 6 9 3012 1230 0132 0132 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 1 0 -1 1 0 0 -1 1 -7 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634677806169 1.280076357708 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_0011_7'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0110_7']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0011_7'], '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_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_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' : 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' : negation(d['c_0011_0']), 'c_1100_8' : d['c_0110_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_12'], 'c_1100_4' : negation(d['c_1001_1']), 'c_1100_7' : d['c_0110_7'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_0110_7'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_9'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : d['c_0101_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0011_7'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_7'], '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'], 'c_1100_12' : d['c_0101_9'], '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_10'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : 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_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_8']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_12']})} 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_12, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_0101_9, c_0110_7, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 1748742/7*c_1001_1^20 + 38230725/7*c_1001_1^19 - 55704833*c_1001_1^18 + 2462566912/7*c_1001_1^17 - 10785268145/7*c_1001_1^16 + 34805035576/7*c_1001_1^15 - 85950973324/7*c_1001_1^14 + 166811185736/7*c_1001_1^13 - 259821980527/7*c_1001_1^12 + 330684135510/7*c_1001_1^11 - 349323639506/7*c_1001_1^10 + 44302871750*c_1001_1^9 - 33323466394*c_1001_1^8 + 21310059224*c_1001_1^7 - 80993212696/7*c_1001_1^6 + 5293596963*c_1001_1^5 - 14060633572/7*c_1001_1^4 + 4302075032/7*c_1001_1^3 - 1004264357/7*c_1001_1^2 + 161567247/7*c_1001_1 - 12544501/7, c_0011_0 - 1, c_0011_10 + c_1001_1^20 - 21*c_1001_1^19 + 205*c_1001_1^18 - 1234*c_1001_1^17 + 5128*c_1001_1^16 - 15627*c_1001_1^15 + 36273*c_1001_1^14 - 65907*c_1001_1^13 + 95849*c_1001_1^12 - 113778*c_1001_1^11 + 112108*c_1001_1^10 - 92835*c_1001_1^9 + 65064*c_1001_1^8 - 38676*c_1001_1^7 + 19433*c_1001_1^6 - 8162*c_1001_1^5 + 2810*c_1001_1^4 - 763*c_1001_1^3 + 151*c_1001_1^2 - 18*c_1001_1, c_0011_12 + c_1001_1, c_0011_7 + 3*c_1001_1^20 - 66*c_1001_1^19 + 677*c_1001_1^18 - 4297*c_1001_1^17 + 18900*c_1001_1^16 - 61198*c_1001_1^15 + 151473*c_1001_1^14 - 294257*c_1001_1^13 + 458082*c_1001_1^12 - 581808*c_1001_1^11 + 612508*c_1001_1^10 - 541379*c_1001_1^9 + 405107*c_1001_1^8 - 257481*c_1001_1^7 + 138763*c_1001_1^6 - 62904*c_1001_1^5 + 23588*c_1001_1^4 - 7102*c_1001_1^3 + 1621*c_1001_1^2 - 251*c_1001_1 + 18, c_0011_8 - c_1001_1^20 + 21*c_1001_1^19 - 205*c_1001_1^18 + 1234*c_1001_1^17 - 5128*c_1001_1^16 + 15627*c_1001_1^15 - 36273*c_1001_1^14 + 65907*c_1001_1^13 - 95849*c_1001_1^12 + 113778*c_1001_1^11 - 112108*c_1001_1^10 + 92835*c_1001_1^9 - 65064*c_1001_1^8 + 38676*c_1001_1^7 - 19433*c_1001_1^6 + 8162*c_1001_1^5 - 2810*c_1001_1^4 + 762*c_1001_1^3 - 149*c_1001_1^2 + 18*c_1001_1, c_0101_0 - 2*c_1001_1^20 + 42*c_1001_1^19 - 411*c_1001_1^18 + 2487*c_1001_1^17 - 10423*c_1001_1^16 + 32155*c_1001_1^15 - 75890*c_1001_1^14 + 140901*c_1001_1^13 - 210531*c_1001_1^12 + 258242*c_1001_1^11 - 264469*c_1001_1^10 + 228935*c_1001_1^9 - 168667*c_1001_1^8 + 105997*c_1001_1^7 - 56693*c_1001_1^6 + 25579*c_1001_1^5 - 9572*c_1001_1^4 + 2885*c_1001_1^3 - 659*c_1001_1^2 + 103*c_1001_1 - 7, c_0101_10 - 3*c_1001_1^20 + 65*c_1001_1^19 - 657*c_1001_1^18 + 4112*c_1001_1^17 - 17851*c_1001_1^16 + 57119*c_1001_1^15 - 139924*c_1001_1^14 + 269516*c_1001_1^13 - 416785*c_1001_1^12 + 526652*c_1001_1^11 - 552031*c_1001_1^10 + 485740*c_1001_1^9 - 361610*c_1001_1^8 + 228507*c_1001_1^7 - 122357*c_1001_1^6 + 55062*c_1001_1^5 - 20478*c_1001_1^4 + 6105*c_1001_1^3 - 1375*c_1001_1^2 + 209*c_1001_1 - 14, c_0101_11 - c_1001_1^20 + 22*c_1001_1^19 - 224*c_1001_1^18 + 1399*c_1001_1^17 - 5991*c_1001_1^16 + 18640*c_1001_1^15 - 43612*c_1001_1^14 + 78497*c_1001_1^13 - 110580*c_1001_1^12 + 123832*c_1001_1^11 - 111946*c_1001_1^10 + 82777*c_1001_1^9 - 50324*c_1001_1^8 + 24957*c_1001_1^7 - 9861*c_1001_1^6 + 2926*c_1001_1^5 - 536*c_1001_1^4 + 37*c_1001_1^2 - 11*c_1001_1 + 1, c_0101_12 + c_1001_1^20 - 21*c_1001_1^19 + 205*c_1001_1^18 - 1234*c_1001_1^17 + 5128*c_1001_1^16 - 15627*c_1001_1^15 + 36273*c_1001_1^14 - 65907*c_1001_1^13 + 95849*c_1001_1^12 - 113778*c_1001_1^11 + 112108*c_1001_1^10 - 92835*c_1001_1^9 + 65064*c_1001_1^8 - 38676*c_1001_1^7 + 19433*c_1001_1^6 - 8162*c_1001_1^5 + 2810*c_1001_1^4 - 763*c_1001_1^3 + 152*c_1001_1^2 - 20*c_1001_1 + 1, c_0101_8 + 1, c_0101_9 - 3*c_1001_1^20 + 62*c_1001_1^19 - 596*c_1001_1^18 + 3536*c_1001_1^17 - 14501*c_1001_1^16 + 43686*c_1001_1^15 - 100483*c_1001_1^14 + 181464*c_1001_1^13 - 263241*c_1001_1^12 + 312930*c_1001_1^11 - 310040*c_1001_1^10 + 259218*c_1001_1^9 - 184196*c_1001_1^8 + 111495*c_1001_1^7 - 57334*c_1001_1^6 + 24810*c_1001_1^5 - 8875*c_1001_1^4 + 2541*c_1001_1^3 - 548*c_1001_1^2 + 79*c_1001_1 - 5, c_0110_7 + 2*c_1001_1^20 - 44*c_1001_1^19 + 451*c_1001_1^18 - 2858*c_1001_1^17 + 12539*c_1001_1^16 - 40461*c_1001_1^15 + 99721*c_1001_1^14 - 192812*c_1001_1^13 + 298787*c_1001_1^12 - 378072*c_1001_1^11 + 397105*c_1001_1^10 - 350775*c_1001_1^9 + 262801*c_1001_1^8 - 167641*c_1001_1^7 + 90984*c_1001_1^6 - 41714*c_1001_1^5 + 15917*c_1001_1^4 - 4923*c_1001_1^3 + 1167*c_1001_1^2 - 194*c_1001_1 + 15, c_1001_1^21 - 22*c_1001_1^20 + 226*c_1001_1^19 - 1439*c_1001_1^18 + 6362*c_1001_1^17 - 20755*c_1001_1^16 + 51900*c_1001_1^15 - 102180*c_1001_1^14 + 161756*c_1001_1^13 - 209627*c_1001_1^12 + 225886*c_1001_1^11 - 204943*c_1001_1^10 + 157899*c_1001_1^9 - 103740*c_1001_1^8 + 58109*c_1001_1^7 - 27595*c_1001_1^6 + 10972*c_1001_1^5 - 3573*c_1001_1^4 + 915*c_1001_1^3 - 172*c_1001_1^2 + 20*c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 65.020 Total time: 65.239 seconds, Total memory usage: 297.06MB