Magma V2.19-8 Tue Aug 20 2013 23:53:00 on localhost [Seed = 1764688552] Type ? for help. Type -D to quit. Loading file "L13n4597__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4597 geometric_solution 11.64088500 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 -1 1 0 0 1 -1 1 0 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845020822901 0.989210524503 0 2 6 5 0132 3201 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 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 0.162724637729 0.825054428091 6 0 1 4 0132 0132 2310 2103 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 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566958724198 0.716926154581 7 7 8 0 0132 1302 0132 0132 1 1 1 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 -1 0 1 1 0 0 -1 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531229881968 0.839671877604 6 9 0 2 1230 0132 0132 2103 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 -1 5 -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 0.154584059143 0.986688541564 9 10 1 11 0321 0132 0132 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212191560194 1.290364766700 2 4 8 1 0132 3012 3120 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 -1 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 0.162724637729 0.825054428091 3 11 9 3 0132 3120 0321 2031 1 1 0 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 1 -1 0 -1 0 0 1 -1 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506891235523 0.907955304958 11 11 6 3 3120 1023 3120 0132 1 1 0 1 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 -4 3 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531229881968 0.839671877604 5 4 7 10 0321 0132 0321 2103 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 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344670854459 0.564542221472 10 5 10 9 2310 0132 3201 2103 1 1 1 1 0 1 -1 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 -5 5 0 -5 0 5 0 -5 0 0 5 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124083806983 0.754569939081 8 7 5 8 1023 3120 0132 3120 1 1 0 1 0 1 -1 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 -5 5 0 0 0 0 0 -3 -1 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506891235523 0.907955304958 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_4'], '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_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_3'], '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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], '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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_0']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], '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_0101_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 112233473/2000*c_1001_2^15 - 133669801/4000*c_1001_2^14 - 26464393/64*c_1001_2^13 + 2806170857/16000*c_1001_2^12 + 7347702/5*c_1001_2^11 - 5345156217/8000*c_1001_2^10 - 20647881411/8000*c_1001_2^9 + 17432878697/16000*c_1001_2^8 + 298751752/125*c_1001_2^7 - 3775672111/8000*c_1001_2^6 - 5432398719/4000*c_1001_2^5 - 1476145741/8000*c_1001_2^4 + 1396720017/4000*c_1001_2^3 + 358380407/2000*c_1001_2^2 + 242161547/8000*c_1001_2 + 19390717/16000, c_0011_0 - 1, c_0011_10 - 4264*c_1001_2^15 + 40*c_1001_2^14 + 33064*c_1001_2^13 + 4994*c_1001_2^12 - 241243/2*c_1001_2^11 - 14162*c_1001_2^10 + 229955*c_1001_2^9 + 30165*c_1001_2^8 - 474611/2*c_1001_2^7 - 67209*c_1001_2^6 + 261641/2*c_1001_2^5 + 72758*c_1001_2^4 - 44051/2*c_1001_2^3 - 29428*c_1001_2^2 - 9287*c_1001_2 - 1014, c_0011_11 + 1, c_0011_4 - 8*c_1001_2^15 - 4*c_1001_2^14 + 62*c_1001_2^13 + 41*c_1001_2^12 - 221*c_1001_2^11 - 142*c_1001_2^10 + 416*c_1001_2^9 + 277*c_1001_2^8 - 413*c_1001_2^7 - 354*c_1001_2^6 + 178*c_1001_2^5 + 262*c_1001_2^4 + 30*c_1001_2^3 - 76*c_1001_2^2 - 47*c_1001_2 - 10, c_0101_0 + 8*c_1001_2^15 + 4*c_1001_2^14 - 62*c_1001_2^13 - 41*c_1001_2^12 + 221*c_1001_2^11 + 142*c_1001_2^10 - 416*c_1001_2^9 - 277*c_1001_2^8 + 413*c_1001_2^7 + 354*c_1001_2^6 - 178*c_1001_2^5 - 262*c_1001_2^4 - 30*c_1001_2^3 + 76*c_1001_2^2 + 47*c_1001_2 + 10, c_0101_1 - 1148*c_1001_2^15 + 66*c_1001_2^14 + 8889*c_1001_2^13 + 1823/2*c_1001_2^12 - 64879/2*c_1001_2^11 - 2206*c_1001_2^10 + 61718*c_1001_2^9 + 10027/2*c_1001_2^8 - 63509*c_1001_2^7 - 14840*c_1001_2^6 + 35231*c_1001_2^5 + 17697*c_1001_2^4 - 12769/2*c_1001_2^3 - 7450*c_1001_2^2 - 4455/2*c_1001_2 - 461/2, c_0101_10 + 3528*c_1001_2^15 - 44*c_1001_2^14 - 27366*c_1001_2^13 - 4037*c_1001_2^12 + 99879*c_1001_2^11 + 11344*c_1001_2^10 - 190523*c_1001_2^9 - 24132*c_1001_2^8 + 196774*c_1001_2^7 + 54596*c_1001_2^6 - 108671*c_1001_2^5 - 59582*c_1001_2^4 + 18541*c_1001_2^3 + 24212*c_1001_2^2 + 7565*c_1001_2 + 817, c_0101_3 + 588*c_1001_2^15 + 102*c_1001_2^14 - 4621*c_1001_2^13 - 2963/2*c_1001_2^12 + 33907/2*c_1001_2^11 + 4772*c_1001_2^10 - 65883/2*c_1001_2^9 - 9129*c_1001_2^8 + 69487/2*c_1001_2^7 + 27803/2*c_1001_2^6 - 18908*c_1001_2^5 - 12682*c_1001_2^4 + 2678*c_1001_2^3 + 9503/2*c_1001_2^2 + 3249/2*c_1001_2 + 379/2, c_0101_6 + c_1001_2, c_0101_8 - 584*c_1001_2^15 - 144*c_1001_2^14 + 4608*c_1001_2^13 + 1802*c_1001_2^12 - 33859/2*c_1001_2^11 - 11917/2*c_1001_2^10 + 33096*c_1001_2^9 + 11370*c_1001_2^8 - 35217*c_1001_2^7 - 16128*c_1001_2^6 + 19162*c_1001_2^5 + 13916*c_1001_2^4 - 5029/2*c_1001_2^3 - 10127/2*c_1001_2^2 - 3541/2*c_1001_2 - 419/2, c_1001_0 + 584*c_1001_2^15 + 144*c_1001_2^14 - 4608*c_1001_2^13 - 1802*c_1001_2^12 + 33859/2*c_1001_2^11 + 11917/2*c_1001_2^10 - 33096*c_1001_2^9 - 11370*c_1001_2^8 + 35217*c_1001_2^7 + 16128*c_1001_2^6 - 19162*c_1001_2^5 - 13916*c_1001_2^4 + 5029/2*c_1001_2^3 + 10127/2*c_1001_2^2 + 3541/2*c_1001_2 + 419/2, c_1001_2^16 + 1/2*c_1001_2^15 - 31/4*c_1001_2^14 - 41/8*c_1001_2^13 + 221/8*c_1001_2^12 + 71/4*c_1001_2^11 - 52*c_1001_2^10 - 277/8*c_1001_2^9 + 413/8*c_1001_2^8 + 177/4*c_1001_2^7 - 89/4*c_1001_2^6 - 131/4*c_1001_2^5 - 15/4*c_1001_2^4 + 19/2*c_1001_2^3 + 23/4*c_1001_2^2 + 11/8*c_1001_2 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB