Query:
/api/hmf_hecke/?_offset=0
Table hmf_hecke
Hecke eigenvalues of Hilbert modular forms
{'AL_eigenvalues': [['[503, 503, 5*w^2 - 7*w - 10]', -1]], 'hecke_eigenvalues': ['e', '-1/9*e^6 + 1/3*e^5 + 25/9*e^4 - 23/3*e^3 - 15*e^2 + 338/9*e - 125/9', '-2/9*e^6 + 2/3*e^5 + 59/9*e^4 - 55/3*e^3 - 44*e^2 + 1099/9*e - 574/9', '-1/9*e^6 + 1/6*e^5 + 83/18*e^4 - 26/3*e^3 - 43*e^2 + 851/9*e - 374/9', '7/18*e^6 - e^5 - 217/18*e^4 + 91/3*e^3 + 86*e^2 - 2065/9*e + 1060/9', '4/9*e^6 - 4/3*e^5 - 118/9*e^4 + 110/3*e^3 + 89*e^2 - 2198/9*e + 1076/9', '1/3*e^6 - 2/3*e^5 - 23/2*e^4 + 24*e^3 + 92*e^2 - 641/3*e + 104', '-1/9*e^6 + 1/3*e^5 + 59/18*e^4 - 32/3*e^3 - 20*e^2 + 761/9*e - 530/9', '5/9*e^6 - 5/3*e^5 - 152/9*e^4 + 142/3*e^3 + 118*e^2 - 2950/9*e + 1516/9', '1/9*e^6 - 1/3*e^5 - 34/9*e^4 + 32/3*e^3 + 30*e^2 - 770/9*e + 368/9', '-7/18*e^6 + 7/6*e^5 + 229/18*e^4 - 109/3*e^3 - 95*e^2 + 2515/9*e - 1378/9', '-11/18*e^6 + 3/2*e^5 + 359/18*e^4 - 149/3*e^3 - 149*e^2 + 3695/9*e - 2000/9', '-1/3*e^6 + 4/3*e^5 + 26/3*e^4 - 34*e^3 - 46*e^2 + 602/3*e - 376/3', '-4/9*e^6 + e^5 + 133/9*e^4 - 98/3*e^3 - 116*e^2 + 2378/9*e - 1016/9', '-11/18*e^6 + 3/2*e^5 + 359/18*e^4 - 149/3*e^3 - 149*e^2 + 3695/9*e - 1982/9', '4/3*e^6 - 10/3*e^5 - 128/3*e^4 + 106*e^3 + 314*e^2 - 2528/3*e + 1324/3', '-e^6 + 7/3*e^5 + 100/3*e^4 - 78*e^3 - 257*e^2 + 650*e - 980/3', '2/9*e^6 - 5/6*e^5 - 121/18*e^4 + 70/3*e^3 + 45*e^2 - 1405/9*e + 838/9', '-11/18*e^6 + 2*e^5 + 305/18*e^4 - 161/3*e^3 - 102*e^2 + 3119/9*e - 1856/9', '1/3*e^6 - e^5 - 28/3*e^4 + 28*e^3 + 56*e^2 - 578/3*e + 356/3', '4/3*e^6 - 10/3*e^5 - 128/3*e^4 + 106*e^3 + 314*e^2 - 2522/3*e + 1312/3', '1/18*e^6 - 2/3*e^5 + 11/18*e^4 + 31/3*e^3 - 24*e^2 + 65/9*e + 40/9', '-8/9*e^6 + 7/3*e^5 + 251/9*e^4 - 208/3*e^3 - 204*e^2 + 4612/9*e - 2218/9', '2/3*e^6 - 5/3*e^5 - 67/3*e^4 + 56*e^3 + 172*e^2 - 1402/3*e + 728/3', '-1/9*e^6 + 1/3*e^5 + 34/9*e^4 - 26/3*e^3 - 32*e^2 + 464/9*e - 62/9', '13/9*e^6 - 4*e^5 - 403/9*e^4 + 356/3*e^3 + 320*e^2 - 7832/9*e + 3986/9', '-4/3*e^6 + 11/3*e^5 + 42*e^4 - 112*e^3 - 303*e^2 + 2552/3*e - 454', '1/3*e^6 - 2/3*e^5 - 12*e^4 + 24*e^3 + 102*e^2 - 632/3*e + 78', '-1/3*e^6 + e^5 + 25/3*e^4 - 21*e^3 - 48*e^2 + 239/3*e - 20/3', '23/18*e^6 - 7/2*e^5 - 713/18*e^4 + 311/3*e^3 + 283*e^2 - 6857/9*e + 3488/9', 'e^6 - 8/3*e^5 - 95/3*e^4 + 82*e^3 + 232*e^2 - 628*e + 952/3', '-e^6 + 2*e^5 + 35*e^4 - 74*e^3 - 284*e^2 + 670*e - 324', '7/9*e^6 - 4/3*e^5 - 247/9*e^4 + 161/3*e^3 + 224*e^2 - 4661/9*e + 2216/9', '-e^6 + 7/3*e^5 + 197/6*e^4 - 76*e^3 - 252*e^2 + 617*e - 884/3', '-4/9*e^6 + e^5 + 124/9*e^4 - 89/3*e^3 - 100*e^2 + 1973/9*e - 908/9', '-1/3*e^6 + 2/3*e^5 + 12*e^4 - 26*e^3 - 101*e^2 + 734/3*e - 100', '1/3*e^6 - 2/3*e^5 - 10*e^4 + 20*e^3 + 70*e^2 - 452/3*e + 62', '1/3*e^6 - e^5 - 28/3*e^4 + 28*e^3 + 58*e^2 - 584/3*e + 314/3', '-4/3*e^6 + 10/3*e^5 + 131/3*e^4 - 108*e^3 - 330*e^2 + 2612/3*e - 1354/3', '2/3*e^6 - 4/3*e^5 - 23*e^4 + 48*e^3 + 186*e^2 - 1276/3*e + 186', '-4/3*e^6 + 10/3*e^5 + 131/3*e^4 - 108*e^3 - 330*e^2 + 2618/3*e - 1354/3', '-4/9*e^6 + 4/3*e^5 + 100/9*e^4 - 86/3*e^3 - 62*e^2 + 1064/9*e - 284/9', '2/9*e^6 - 1/2*e^5 - 133/18*e^4 + 52/3*e^3 + 55*e^2 - 1351/9*e + 904/9', '1/3*e^6 - 4/3*e^5 - 23/3*e^4 + 32*e^3 + 30*e^2 - 518/3*e + 352/3', '-10/9*e^6 + 8/3*e^5 + 325/9*e^4 - 260/3*e^3 - 272*e^2 + 6350/9*e - 3092/9', '-1/9*e^6 + 40/9*e^4 - 14/3*e^3 - 42*e^2 + 680/9*e - 92/9', '-2/9*e^6 + 2/3*e^5 + 109/18*e^4 - 58/3*e^3 - 34*e^2 + 1261/9*e - 772/9', '4/3*e^6 - 11/3*e^5 - 43*e^4 + 116*e^3 + 316*e^2 - 2741/3*e + 504', '11/9*e^6 - 7/2*e^5 - 655/18*e^4 + 304/3*e^3 + 245*e^2 - 6535/9*e + 3532/9', '-4/3*e^6 + 4*e^5 + 118/3*e^4 - 109*e^3 - 268*e^2 + 2147/3*e - 1040/3', '-e^4 + 2*e^3 + 16*e^2 - 28*e + 2', '-2*e^6 + 17/3*e^5 + 176/3*e^4 - 158*e^3 - 392*e^2 + 1079*e - 1660/3', '-5/3*e^6 + 14/3*e^5 + 148/3*e^4 - 130*e^3 - 337*e^2 + 2650/3*e - 1256/3', '2/9*e^6 - 2/3*e^5 - 59/9*e^4 + 58/3*e^3 + 42*e^2 - 1252/9*e + 736/9', '2*e^6 - 16/3*e^5 - 187/3*e^4 + 160*e^3 + 448*e^2 - 1192*e + 1802/3', '8/9*e^6 - 3*e^5 - 221/9*e^4 + 238/3*e^3 + 148*e^2 - 4468/9*e + 2644/9', '13/9*e^6 - 25/6*e^5 - 773/18*e^4 + 350/3*e^3 + 293*e^2 - 7175/9*e + 3566/9', '-8/9*e^6 + 5/3*e^5 + 290/9*e^4 - 202/3*e^3 - 268*e^2 + 5818/9*e - 2926/9', '7/3*e^6 - 19/3*e^5 - 215/3*e^4 + 186*e^3 + 508*e^2 - 4052/3*e + 2014/3', '-5/9*e^6 + 4/3*e^5 + 149/9*e^4 - 106/3*e^3 - 118*e^2 + 2014/9*e - 574/9', '-4/3*e^6 + 10/3*e^5 + 131/3*e^4 - 108*e^3 - 328*e^2 + 2612/3*e - 1402/3', '17/9*e^6 - 14/3*e^5 - 1093/18*e^4 + 436/3*e^3 + 456*e^2 - 10093/9*e + 4690/9', '-10/9*e^6 + 10/3*e^5 + 304/9*e^4 - 290/3*e^3 - 234*e^2 + 6224/9*e - 3284/9', '-2/3*e^6 + 2*e^5 + 65/3*e^4 - 66*e^3 - 156*e^2 + 1621/3*e - 1000/3', '41/18*e^6 - 19/3*e^5 - 1277/18*e^4 + 563/3*e^3 + 510*e^2 - 12365/9*e + 6338/9', '-11/9*e^6 + 10/3*e^5 + 353/9*e^4 - 316/3*e^3 - 286*e^2 + 7462/9*e - 4078/9', '-5/9*e^6 + 5/3*e^5 + 143/9*e^4 - 154/3*e^3 - 94*e^2 + 3571/9*e - 2362/9', 'e^6 - 8/3*e^5 - 92/3*e^4 + 78*e^3 + 220*e^2 - 564*e + 760/3', '-1/3*e^6 + 2/3*e^5 + 10*e^4 - 20*e^3 - 70*e^2 + 458/3*e - 62', '-19/9*e^6 + 17/3*e^5 + 595/9*e^4 - 506/3*e^3 - 480*e^2 + 11174/9*e - 5450/9', '4/9*e^6 - e^5 - 124/9*e^4 + 95/3*e^3 + 96*e^2 - 2279/9*e + 1376/9', '-2/9*e^6 + e^5 + 80/9*e^4 - 106/3*e^3 - 76*e^2 + 2755/9*e - 1696/9', '4/9*e^6 - 4/3*e^5 - 127/9*e^4 + 122/3*e^3 + 102*e^2 - 2756/9*e + 1580/9', '-4/9*e^6 + 5/3*e^5 + 233/18*e^4 - 134/3*e^3 - 86*e^2 + 2567/9*e - 1298/9', '4/9*e^6 - 5/3*e^5 - 103/9*e^4 + 116/3*e^3 + 64*e^2 - 1739/9*e + 812/9', '10/9*e^6 - 10/3*e^5 - 304/9*e^4 + 296/3*e^3 + 232*e^2 - 6458/9*e + 3644/9', '-2/9*e^6 + 2/3*e^5 + 23/9*e^4 - 16/3*e^3 + 12*e^2 - 728/9*e + 722/9', '14/9*e^6 - 23/6*e^5 - 937/18*e^4 + 388/3*e^3 + 399*e^2 - 9727/9*e + 5236/9', '-16/9*e^6 + 5*e^5 + 965/18*e^4 - 434/3*e^3 - 370*e^2 + 9251/9*e - 4748/9', '5/9*e^6 - 4/3*e^5 - 149/9*e^4 + 118/3*e^3 + 112*e^2 - 2590/9*e + 1276/9', '-7/9*e^6 + 4/3*e^5 + 265/9*e^4 - 182/3*e^3 - 252*e^2 + 5624/9*e - 2990/9', '-10/9*e^6 + 7/2*e^5 + 593/18*e^4 - 284/3*e^3 - 227*e^2 + 5513/9*e - 2540/9', '55/18*e^6 - 23/3*e^5 - 1771/18*e^4 + 733/3*e^3 + 730*e^2 - 17431/9*e + 9058/9', '-2/9*e^6 + 1/2*e^5 + 79/18*e^4 - 28/3*e^3 - 13*e^2 + 235/9*e + 140/9', '1/3*e^6 - e^5 - 28/3*e^4 + 24*e^3 + 64*e^2 - 392/3*e + 56/3', '17/9*e^6 - 5*e^5 - 536/9*e^4 + 448/3*e^3 + 439*e^2 - 9904/9*e + 4534/9', '-2/3*e^6 + 8/3*e^5 + 46/3*e^4 - 58*e^3 - 68*e^2 + 736/3*e - 314/3', '5/18*e^6 - e^5 - 101/18*e^4 + 47/3*e^3 + 22*e^2 + 19/9*e - 526/9', '-1/18*e^6 - 1/3*e^5 + 61/18*e^4 + 11/3*e^3 - 40*e^2 + 277/9*e + 104/9', 'e^6 - 3*e^5 - 28*e^4 + 78*e^3 + 178*e^2 - 482*e + 224', '-17/9*e^6 + 14/3*e^5 + 569/9*e^4 - 466/3*e^3 - 488*e^2 + 11614/9*e - 5932/9', '-19/9*e^6 + 5*e^5 + 625/9*e^4 - 488/3*e^3 - 530*e^2 + 11894/9*e - 5834/9', '-7/3*e^6 + 20/3*e^5 + 70*e^4 - 192*e^3 - 478*e^2 + 4082/3*e - 734', '1/9*e^6 - 2/3*e^5 - 1/9*e^4 + 20/3*e^3 - 22*e^2 + 544/9*e - 598/9', 1, '22/9*e^6 - 6*e^5 - 700/9*e^4 + 566/3*e^3 + 572*e^2 - 13340/9*e + 6776/9', 'e^6 - 8/3*e^5 - 101/3*e^4 + 86*e^3 + 262*e^2 - 686*e + 1084/3', '20/9*e^6 - 5*e^5 - 665/9*e^4 + 514/3*e^3 + 566*e^2 - 13132/9*e + 6682/9', '16/9*e^6 - 13/3*e^5 - 508/9*e^4 + 413/3*e^3 + 412*e^2 - 9881/9*e + 5204/9', '-20/9*e^6 + 14/3*e^5 + 698/9*e^4 - 508/3*e^3 - 630*e^2 + 13546/9*e - 6334/9', '-28/9*e^6 + 29/3*e^5 + 811/9*e^4 - 794/3*e^3 - 588*e^2 + 15764/9*e - 8600/9', '-23/9*e^6 + 7*e^5 + 1435/18*e^4 - 628/3*e^3 - 572*e^2 + 13993/9*e - 7372/9', '-4/3*e^6 + 11/3*e^5 + 41*e^4 - 114*e^3 - 282*e^2 + 2666/3*e - 524', '-1/6*e^6 + 5/6*e^5 + 5/2*e^4 - 17*e^3 + 5*e^2 + 163/3*e - 30', '2/3*e^6 - 2/3*e^5 - 85/3*e^4 + 48*e^3 + 264*e^2 - 1780/3*e + 914/3', '43/18*e^6 - 35/6*e^5 - 1411/18*e^4 + 571/3*e^3 + 593*e^2 - 13945/9*e + 7312/9', '35/18*e^6 - 31/6*e^5 - 1079/18*e^4 + 455/3*e^3 + 429*e^2 - 9857/9*e + 4772/9', '-2/3*e^6 + 7/3*e^5 + 18*e^4 - 62*e^3 - 100*e^2 + 1198/3*e - 264', '47/18*e^6 - 22/3*e^5 - 1445/18*e^4 + 659/3*e^3 + 560*e^2 - 14711/9*e + 8126/9', '-1/3*e^6 + 2/3*e^5 + 23/2*e^4 - 28*e^3 - 88*e^2 + 833/3*e - 170', '-4/9*e^6 + 4/3*e^5 + 127/9*e^4 - 122/3*e^3 - 102*e^2 + 2756/9*e - 1508/9', '13/6*e^6 - 6*e^5 - 409/6*e^4 + 181*e^3 + 494*e^2 - 4075/3*e + 2110/3', '4/9*e^6 - 4/3*e^5 - 299/18*e^4 + 146/3*e^3 + 138*e^2 - 3863/9*e + 2192/9', '-5/9*e^6 + 5/3*e^5 + 152/9*e^4 - 160/3*e^3 - 110*e^2 + 3886/9*e - 2488/9', '-29/9*e^6 + 15/2*e^5 + 1879/18*e^4 - 724/3*e^3 - 789*e^2 + 17479/9*e - 8248/9', 'e^6 - 2*e^5 - 34*e^4 + 74*e^3 + 264*e^2 - 676*e + 364', '11/9*e^6 - 11/3*e^5 - 320/9*e^4 + 298/3*e^3 + 239*e^2 - 5806/9*e + 2608/9', '5/3*e^6 - 5*e^5 - 152/3*e^4 + 142*e^3 + 356*e^2 - 2962/3*e + 1432/3', '-20/9*e^6 + 13/2*e^5 + 1195/18*e^4 - 556/3*e^3 - 453*e^2 + 11683/9*e - 5980/9', '-14/9*e^6 + 11/3*e^5 + 458/9*e^4 - 364/3*e^3 - 384*e^2 + 8998/9*e - 4630/9', '-5/3*e^6 + 14/3*e^5 + 154/3*e^4 - 136*e^3 - 366*e^2 + 2920/3*e - 1400/3', '-3*e^6 + 25/3*e^5 + 274/3*e^4 - 244*e^3 - 638*e^2 + 1767*e - 2726/3', '-e^5 + 4*e^4 + 16*e^3 - 66*e^2 + 4*e + 34', '-10/9*e^6 + 3*e^5 + 328/9*e^4 - 284/3*e^3 - 276*e^2 + 6656/9*e - 3278/9', '4/3*e^6 - 10/3*e^5 - 265/6*e^4 + 106*e^3 + 342*e^2 - 2513/3*e + 1168/3', '7/9*e^6 - 7/3*e^5 - 184/9*e^4 + 164/3*e^3 + 120*e^2 - 2510/9*e + 1136/9', '8/9*e^6 - 3*e^5 - 221/9*e^4 + 238/3*e^3 + 148*e^2 - 4522/9*e + 2572/9', '14/9*e^6 - 13/3*e^5 - 446/9*e^4 + 406/3*e^3 + 362*e^2 - 9430/9*e + 5020/9', '43/18*e^6 - 20/3*e^5 - 1309/18*e^4 + 577/3*e^3 + 510*e^2 - 12307/9*e + 6184/9', '11/18*e^6 - 5/3*e^5 - 353/18*e^4 + 161/3*e^3 + 144*e^2 - 3929/9*e + 2138/9', '-14/9*e^6 + 14/3*e^5 + 377/9*e^4 - 352/3*e^3 - 252*e^2 + 6172/9*e - 2722/9', '-7/9*e^6 + 3*e^5 + 163/9*e^4 - 218/3*e^3 - 74*e^2 + 3581/9*e - 2282/9', '1/18*e^6 - 5/6*e^5 - 1/18*e^4 + 61/3*e^3 - 21*e^2 - 979/9*e + 1096/9', '14/9*e^6 - 13/3*e^5 - 419/9*e^4 + 382/3*e^3 + 314*e^2 - 8332/9*e + 4606/9', '20/9*e^6 - 6*e^5 - 620/9*e^4 + 538/3*e^3 + 494*e^2 - 11944/9*e + 5944/9', '-7/9*e^6 + 7/3*e^5 + 229/9*e^4 - 230/3*e^3 - 186*e^2 + 5660/9*e - 3566/9', '8/3*e^6 - 19/3*e^5 - 89*e^4 + 210*e^3 + 688*e^2 - 5206/3*e + 874', '-8/9*e^6 + 5/3*e^5 + 281/9*e^4 - 208/3*e^3 - 246*e^2 + 6142/9*e - 3610/9', '-38/9*e^6 + 12*e^5 + 1142/9*e^4 - 1036/3*e^3 - 868*e^2 + 22060/9*e - 11794/9', '32/9*e^6 - 28/3*e^5 - 977/9*e^4 + 826/3*e^3 + 764*e^2 - 18133/9*e + 9016/9', '4/9*e^6 - e^5 - 124/9*e^4 + 98/3*e^3 + 96*e^2 - 2360/9*e + 1304/9', '-3*e^6 + 22/3*e^5 + 292/3*e^4 - 232*e^3 - 738*e^2 + 1828*e - 2612/3', '8/3*e^6 - 17/3*e^5 - 271/3*e^4 + 200*e^3 + 708*e^2 - 5251/3*e + 2588/3', '5/6*e^6 - 7/3*e^5 - 145/6*e^4 + 65*e^3 + 160*e^2 - 1349/3*e + 676/3', '2*e^6 - 35/6*e^5 - 371/6*e^4 + 178*e^3 + 429*e^2 - 1355*e + 2354/3', '-29/18*e^6 + 37/6*e^5 + 767/18*e^4 - 467/3*e^3 - 237*e^2 + 8141/9*e - 4928/9', '-4/9*e^6 + e^5 + 142/9*e^4 - 98/3*e^3 - 136*e^2 + 2306/9*e - 548/9', '7/9*e^6 - 7/3*e^5 - 229/9*e^4 + 218/3*e^3 + 188*e^2 - 4994/9*e + 2900/9', '-8/3*e^6 + 8*e^5 + 236/3*e^4 - 224*e^3 - 524*e^2 + 4594/3*e - 2470/3', '-8/9*e^6 + 2*e^5 + 266/9*e^4 - 190/3*e^3 - 232*e^2 + 4450/9*e - 1906/9', '-25/9*e^6 + 8*e^5 + 775/9*e^4 - 704/3*e^3 - 614*e^2 + 15263/9*e - 7862/9', 'e^6 - 3*e^5 - 34*e^4 + 100*e^3 + 258*e^2 - 821*e + 502', '-3*e^6 + 9*e^5 + 88*e^4 - 251*e^3 - 584*e^2 + 1705*e - 934', '-1/3*e^6 + 2/3*e^5 + 10*e^4 - 15*e^3 - 76*e^2 + 185/3*e + 26', '-7/3*e^6 + 6*e^5 + 223/3*e^4 - 185*e^3 - 548*e^2 + 4265/3*e - 2072/3', '-2/3*e^6 + 7/6*e^5 + 149/6*e^4 - 46*e^3 - 215*e^2 + 1285/3*e - 578/3', '-7/6*e^6 + 13/6*e^5 + 257/6*e^4 - 89*e^3 - 361*e^2 + 2587/3*e - 1316/3', '2/3*e^6 - 2*e^5 - 56/3*e^4 + 48*e^3 + 126*e^2 - 736/3*e + 148/3', '-53/18*e^6 + 53/6*e^5 + 1577/18*e^4 - 737/3*e^3 - 599*e^2 + 14915/9*e - 7394/9', '-4/3*e^6 + 14/3*e^5 + 38*e^4 - 120*e^3 - 248*e^2 + 2156/3*e - 352', '-4/3*e^6 + 10/3*e^5 + 125/3*e^4 - 100*e^3 - 304*e^2 + 2258/3*e - 1006/3', '14/9*e^6 - 4*e^5 - 452/9*e^4 + 400/3*e^3 + 364*e^2 - 9988/9*e + 5806/9', '11/9*e^6 - 13/3*e^5 - 308/9*e^4 + 352/3*e^3 + 206*e^2 - 6931/9*e + 4258/9', '-53/18*e^6 + 22/3*e^5 + 1721/18*e^4 - 707/3*e^3 - 716*e^2 + 17039/9*e - 8852/9', '-20/9*e^6 + 19/3*e^5 + 1201/18*e^4 - 550/3*e^3 - 454*e^2 + 11791/9*e - 6220/9', '-11/3*e^6 + 28/3*e^5 + 119*e^4 - 296*e^3 - 894*e^2 + 7027/3*e - 1182', '-5/3*e^6 + 13/3*e^5 + 48*e^4 - 122*e^3 - 312*e^2 + 2542/3*e - 440', '31/9*e^6 - 8*e^5 - 1015/9*e^4 + 785/3*e^3 + 856*e^2 - 19217/9*e + 9476/9', '-61/18*e^6 + 9*e^5 + 1963/18*e^4 - 835/3*e^3 - 812*e^2 + 19183/9*e - 9718/9'], 'hecke_polynomial': 'x^7 - 4*x^6 - 28*x^5 + 124*x^4 + 120*x^3 - 932*x^2 + 1156*x - 428', 'id': 97, 'label': '3.3.49.1-503.1-a'}