Query:
/api/hmf_hecke/?_offset=0
Table hmf_hecke
Hecke eigenvalues of Hilbert modular forms
{'AL_eigenvalues': [['[419, 419, -5*w^2 - 3*w + 9]', -1]], 'hecke_eigenvalues': ['e', '-11/74*e^5 + 1/37*e^4 + 179/74*e^3 - 157/74*e^2 - 209/74*e + 20/37', '13/74*e^5 + 1/74*e^4 - 225/74*e^3 + 81/37*e^2 + 216/37*e - 165/74', '12/37*e^5 - 1/74*e^4 - 441/74*e^3 + 104/37*e^2 + 1011/74*e + 175/37', '-2/37*e^5 - 3/37*e^4 + 46/37*e^3 + 32/37*e^2 - 223/37*e - 23/37', '-8/37*e^5 - 12/37*e^4 + 147/37*e^3 + 128/37*e^2 - 559/37*e - 314/37', '-15/37*e^5 - 4/37*e^4 + 271/37*e^3 - 93/37*e^2 - 729/37*e - 6/37', '6/37*e^5 + 9/37*e^4 - 101/37*e^3 - 59/37*e^2 + 262/37*e + 143/37', '-1/37*e^5 + 17/37*e^4 + 23/37*e^3 - 280/37*e^2 + 92/37*e + 377/37', '4/37*e^5 + 6/37*e^4 - 147/74*e^3 - 165/74*e^2 + 187/37*e + 573/74', '-5/37*e^5 + 11/37*e^4 + 115/37*e^3 - 216/37*e^2 - 428/37*e + 331/37', '-15/37*e^5 - 4/37*e^4 + 271/37*e^3 - 93/37*e^2 - 655/37*e - 154/37', '-1/37*e^5 - 20/37*e^4 + 23/37*e^3 + 349/37*e^2 - 315/37*e - 548/37', '-1/37*e^5 + 17/37*e^4 + 23/37*e^3 - 280/37*e^2 + 166/37*e + 303/37', '-6/37*e^5 - 9/37*e^4 + 165/74*e^3 + 81/74*e^2 - 40/37*e - 249/74', '23/37*e^5 + 16/37*e^4 - 418/37*e^3 - 72/37*e^2 + 1177/37*e + 653/37', '18/37*e^5 - 10/37*e^4 - 643/74*e^3 + 719/74*e^2 + 675/37*e - 511/74', '-4/37*e^5 + 25/74*e^4 + 147/74*e^3 - 269/37*e^2 - 263/74*e + 472/37', '-2/37*e^5 - 3/37*e^4 + 46/37*e^3 + 69/37*e^2 - 149/37*e - 393/37', '31/74*e^5 - 9/74*e^4 - 565/74*e^3 + 196/37*e^2 + 572/37*e + 227/74', '23/37*e^5 - 21/37*e^4 - 418/37*e^3 + 557/37*e^2 + 770/37*e - 346/37', '-6/37*e^5 - 9/37*e^4 + 101/37*e^3 + 133/37*e^2 - 188/37*e - 735/37', '6/37*e^5 + 9/37*e^4 - 239/74*e^3 - 155/74*e^2 + 484/37*e - 121/74', '-11/37*e^5 - 35/37*e^4 + 395/74*e^3 + 907/74*e^2 - 875/37*e - 1585/74', '-31/37*e^5 + 9/37*e^4 + 565/37*e^3 - 466/37*e^2 - 1218/37*e + 69/37', '43/74*e^5 + 9/74*e^4 - 841/74*e^3 + 137/37*e^2 + 1315/37*e - 227/74', '24/37*e^5 + 35/74*e^4 - 919/74*e^3 - 125/37*e^2 + 3095/74*e + 646/37', '-28/37*e^5 - 5/37*e^4 + 496/37*e^3 - 181/37*e^2 - 1124/37*e - 285/37', '-3/37*e^5 + 14/37*e^4 + 32/37*e^3 - 322/37*e^2 + 313/37*e + 391/37', '-5/37*e^5 + 11/37*e^4 + 115/37*e^3 - 179/37*e^2 - 280/37*e - 39/37', '7/74*e^5 - 45/74*e^4 - 87/74*e^3 + 499/37*e^2 - 322/37*e - 1899/74', '-3/37*e^5 + 14/37*e^4 + 32/37*e^3 - 322/37*e^2 + 313/37*e + 835/37', '23/37*e^5 - 5/74*e^4 - 873/74*e^3 + 224/37*e^2 + 2317/74*e + 24/37', '35/37*e^5 - 3/37*e^4 - 620/37*e^3 + 439/37*e^2 + 1294/37*e - 208/37', '-7/37*e^5 + 8/37*e^4 + 161/37*e^3 - 110/37*e^2 - 651/37*e - 284/37', '-18/37*e^5 + 10/37*e^4 + 340/37*e^3 - 304/37*e^2 - 675/37*e - 22/37', '10/37*e^5 + 15/37*e^4 - 193/37*e^3 - 160/37*e^2 + 819/37*e + 78/37', '-4/37*e^5 - 6/37*e^4 + 92/37*e^3 + 138/37*e^2 - 224/37*e - 860/37', '2/37*e^5 + 3/37*e^4 - 9/37*e^3 - 32/37*e^2 - 295/37*e + 208/37', '-7/37*e^5 + 8/37*e^4 + 124/37*e^3 - 258/37*e^2 - 59/37*e + 715/37', '81/74*e^5 + 29/74*e^4 - 1419/74*e^3 + 240/37*e^2 + 1676/37*e + 25/74', '-25/37*e^5 - 1/74*e^4 + 965/74*e^3 - 229/37*e^2 - 3059/74*e + 27/37', '-46/37*e^5 + 5/37*e^4 + 836/37*e^3 - 522/37*e^2 - 2021/37*e + 285/37', '11/37*e^5 - 39/37*e^4 - 395/74*e^3 + 1461/74*e^2 - 13/37*e - 1523/74', '-26/37*e^5 - 2/37*e^4 + 450/37*e^3 - 287/37*e^2 - 901/37*e + 441/37', '45/37*e^5 - 25/37*e^4 - 813/37*e^3 + 834/37*e^2 + 1706/37*e - 389/37', '11/37*e^5 + 33/74*e^4 - 469/74*e^3 - 213/37*e^2 + 2379/74*e + 589/37', '2/37*e^5 - 34/37*e^4 - 46/37*e^3 + 486/37*e^2 - 258/37*e - 384/37', '-27/37*e^5 - 22/37*e^4 + 436/37*e^3 + 62/37*e^2 - 846/37*e - 773/37', '-8/37*e^5 - 12/37*e^4 + 110/37*e^3 - 20/37*e^2 - 4/37*e + 574/37', '18/37*e^5 - 10/37*e^4 - 377/37*e^3 + 304/37*e^2 + 1119/37*e - 422/37', '31/37*e^5 + 28/37*e^4 - 565/37*e^3 - 200/37*e^2 + 1625/37*e + 1374/37', '7/37*e^5 + 29/37*e^4 - 124/37*e^3 - 371/37*e^2 + 614/37*e + 136/37', '-17/37*e^5 - 7/37*e^4 + 280/37*e^3 - 61/37*e^2 - 434/37*e - 732/37', '-1/37*e^5 - 20/37*e^4 + 23/37*e^3 + 238/37*e^2 - 463/37*e - 30/37', '-4/37*e^5 + 31/37*e^4 + 18/37*e^3 - 639/37*e^2 + 701/37*e + 1101/37', '21/37*e^5 + 13/37*e^4 - 409/37*e^3 - 40/37*e^2 + 1324/37*e + 667/37', '-31/37*e^5 + 9/37*e^4 + 528/37*e^3 - 503/37*e^2 - 737/37*e + 550/37', '-1/37*e^5 + 17/37*e^4 + 60/37*e^3 - 243/37*e^2 - 352/37*e + 118/37', '-32/37*e^5 - 11/37*e^4 + 588/37*e^3 - 154/37*e^2 - 1570/37*e - 516/37', '-32/37*e^5 + 26/37*e^4 + 551/37*e^3 - 783/37*e^2 - 682/37*e + 557/37', '-26/37*e^5 - 2/37*e^4 + 487/37*e^3 - 213/37*e^2 - 1382/37*e - 373/37', '-10/37*e^5 - 15/37*e^4 + 156/37*e^3 + 49/37*e^2 - 227/37*e + 181/37', '-4/37*e^5 - 6/37*e^4 + 18/37*e^3 - 10/37*e^2 + 368/37*e + 28/37', '29/37*e^5 - 12/37*e^4 - 482/37*e^3 + 646/37*e^2 + 551/37*e - 1017/37', '-5/37*e^5 + 11/37*e^4 + 78/37*e^3 - 179/37*e^2 + 127/37*e + 220/37', '26/37*e^5 + 2/37*e^4 - 413/37*e^3 + 361/37*e^2 + 494/37*e - 515/37', '-2/37*e^5 - 3/37*e^4 + 83/37*e^3 + 106/37*e^2 - 593/37*e - 578/37', '-97/74*e^5 + 21/74*e^4 + 1787/74*e^3 - 667/37*e^2 - 2309/37*e + 1049/74', '1/37*e^5 - 17/37*e^4 + 14/37*e^3 + 391/37*e^2 - 573/37*e - 784/37', '7/37*e^5 - 8/37*e^4 - 87/37*e^3 + 184/37*e^2 - 237/37*e + 506/37', '12/37*e^5 + 18/37*e^4 - 276/37*e^3 - 192/37*e^2 + 1486/37*e + 656/37', '-27/37*e^5 + 52/37*e^4 + 510/37*e^3 - 1122/37*e^2 - 661/37*e + 1225/37', 1, '23/37*e^5 - 21/37*e^4 - 873/74*e^3 + 1151/74*e^2 + 955/37*e - 877/74', '-65/74*e^5 - 5/74*e^4 + 1125/74*e^3 - 331/37*e^2 - 1302/37*e + 233/74', '-60/37*e^5 - 16/37*e^4 + 1047/37*e^3 - 335/37*e^2 - 2176/37*e - 1393/37', '60/37*e^5 - 21/37*e^4 - 1047/37*e^3 + 964/37*e^2 + 1843/37*e - 346/37', '10/37*e^5 - 22/37*e^4 - 193/37*e^3 + 395/37*e^2 + 116/37*e - 329/37', '49/37*e^5 + 18/37*e^4 - 905/37*e^3 + 67/37*e^2 + 2337/37*e + 1396/37', '-49/37*e^5 - 18/37*e^4 + 905/37*e^3 - 289/37*e^2 - 2559/37*e + 306/37', '36/37*e^5 - 20/37*e^4 - 606/37*e^3 + 756/37*e^2 + 980/37*e - 400/37', '-26/37*e^5 + 35/37*e^4 + 487/37*e^3 - 768/37*e^2 - 827/37*e + 404/37', '9/37*e^5 - 42/37*e^4 - 133/37*e^3 + 855/37*e^2 - 569/37*e - 1358/37', '-51/74*e^5 - 21/74*e^4 + 951/74*e^3 - 110/37*e^2 - 1465/37*e + 357/74', '23/37*e^5 + 16/37*e^4 - 418/37*e^3 - 72/37*e^2 + 1029/37*e + 801/37', '6/37*e^5 - 28/37*e^4 - 138/37*e^3 + 570/37*e^2 + 336/37*e - 1152/37', '-16/37*e^5 - 24/37*e^4 + 331/37*e^3 + 367/37*e^2 - 1488/37*e - 961/37', '23/37*e^5 + 16/37*e^4 - 418/37*e^3 - 72/37*e^2 + 1029/37*e + 875/37', '21/37*e^5 + 13/37*e^4 - 335/37*e^3 + 34/37*e^2 + 732/37*e + 445/37', '-33/37*e^5 + 6/37*e^4 + 648/37*e^3 - 360/37*e^2 - 1959/37*e + 675/37', '50/37*e^5 + 38/37*e^4 - 928/37*e^3 - 208/37*e^2 + 2541/37*e + 1870/37', '-41/37*e^5 - 43/37*e^4 + 721/37*e^3 + 286/37*e^2 - 2074/37*e - 1563/37', '6/37*e^5 + 46/37*e^4 - 101/37*e^3 - 688/37*e^2 + 891/37*e + 1438/37', '46/37*e^5 + 32/37*e^4 - 1709/74*e^3 - 251/74*e^2 + 2687/37*e + 1835/74', '-45/37*e^5 - 49/37*e^4 + 850/37*e^3 + 461/37*e^2 - 2964/37*e - 1498/37', '-8/37*e^5 + 25/37*e^4 + 184/37*e^3 - 501/37*e^2 - 337/37*e + 1277/37', '-23/37*e^5 + 58/37*e^4 + 455/37*e^3 - 1186/37*e^2 - 733/37*e + 1456/37', '-31/37*e^5 + 9/37*e^4 + 565/37*e^3 - 466/37*e^2 - 1218/37*e + 661/37', '-5/37*e^5 + 48/37*e^4 + 115/37*e^3 - 808/37*e^2 + 201/37*e + 886/37', '14/37*e^5 - 53/37*e^4 - 322/37*e^3 + 923/37*e^2 + 747/37*e - 1171/37', '-85/74*e^5 - 35/74*e^4 + 1437/74*e^3 - 134/37*e^2 - 1233/37*e - 2513/74', '-75/37*e^5 + 17/37*e^4 + 1392/37*e^3 - 983/37*e^2 - 3386/37*e + 488/37', '-2/37*e^5 - 3/37*e^4 + 46/37*e^3 + 143/37*e^2 - 223/37*e - 837/37', '-59/74*e^5 - 33/74*e^4 + 1135/74*e^3 + 28/37*e^2 - 1911/37*e - 31/74', '11/37*e^5 + 35/37*e^4 - 216/37*e^3 - 509/37*e^2 + 1245/37*e + 1958/37', '73/37*e^5 + 17/37*e^4 - 1309/37*e^3 + 460/37*e^2 + 3274/37*e + 525/37', '-4/37*e^5 - 6/37*e^4 + 18/37*e^3 - 84/37*e^2 + 368/37*e + 768/37', '17/74*e^5 + 81/74*e^4 - 391/74*e^3 - 580/37*e^2 + 1290/37*e + 1953/74', '-9/37*e^5 + 5/37*e^4 + 133/37*e^3 - 115/37*e^2 + 458/37*e - 455/37', '-81/74*e^5 - 29/74*e^4 + 1419/74*e^3 - 18/37*e^2 - 1306/37*e - 3873/74', '27/37*e^5 + 22/37*e^4 - 510/37*e^3 - 62/37*e^2 + 1771/37*e + 1069/37', '27/37*e^5 - 67/74*e^4 - 1057/74*e^3 + 863/37*e^2 + 2247/74*e - 1299/37', '-7/37*e^5 + 45/37*e^4 + 124/37*e^3 - 813/37*e^2 + 52/37*e + 1418/37', '19/37*e^5 + 47/37*e^4 - 363/37*e^3 - 637/37*e^2 + 1286/37*e + 1273/37', '68/37*e^5 - 9/37*e^4 - 1194/37*e^3 + 873/37*e^2 + 2365/37*e + 5/37', '19/37*e^5 + 47/37*e^4 - 400/37*e^3 - 785/37*e^2 + 1878/37*e + 2346/37', '9/37*e^5 + 27/74*e^4 - 155/74*e^3 - 33/37*e^2 - 879/74*e - 211/37', '56/37*e^5 + 10/37*e^4 - 992/37*e^3 + 436/37*e^2 + 2174/37*e - 244/37', '-1/37*e^5 - 77/74*e^4 + 83/74*e^3 + 608/37*e^2 - 1703/74*e - 548/37', '57/37*e^5 - 7/37*e^4 - 1052/37*e^3 + 605/37*e^2 + 2452/37*e + 378/37', '-10/37*e^5 - 15/37*e^4 + 230/37*e^3 + 271/37*e^2 - 893/37*e - 1077/37', '2/37*e^5 + 40/37*e^4 - 46/37*e^3 - 698/37*e^2 + 334/37*e + 1762/37', '40/37*e^5 - 14/37*e^4 - 698/37*e^3 + 655/37*e^2 + 1204/37*e - 724/37', '-79/74*e^5 + 11/74*e^4 + 1447/74*e^3 - 404/37*e^2 - 1509/37*e - 1815/74', '-76/37*e^5 + 34/37*e^4 + 1378/37*e^3 - 1189/37*e^2 - 2813/37*e - 171/37', '41/37*e^5 + 6/37*e^4 - 832/37*e^3 + 232/37*e^2 + 2703/37*e + 379/37', '-26/37*e^5 - 2/37*e^4 + 524/37*e^3 - 102/37*e^2 - 1530/37*e - 1372/37', '-45/37*e^5 - 12/37*e^4 + 776/37*e^3 - 316/37*e^2 - 1262/37*e - 573/37', '-57/37*e^5 + 7/37*e^4 + 1089/37*e^3 - 642/37*e^2 - 2822/37*e - 193/37', '-44/37*e^5 + 45/37*e^4 + 864/37*e^3 - 1109/37*e^2 - 1983/37*e + 567/37', '25/37*e^5 - 73/74*e^4 - 1039/74*e^3 + 821/37*e^2 + 2689/74*e - 693/37', '30/37*e^5 + 8/37*e^4 - 542/37*e^3 + 186/37*e^2 + 1310/37*e + 530/37', '43/37*e^5 + 46/37*e^4 - 804/37*e^3 - 392/37*e^2 + 2445/37*e + 1697/37', '65/37*e^5 - 27/74*e^4 - 2361/74*e^3 + 773/37*e^2 + 5615/74*e + 137/37', '-68/37*e^5 + 9/37*e^4 + 1231/37*e^3 - 910/37*e^2 - 2735/37*e + 624/37', '44/37*e^5 - 45/37*e^4 - 827/37*e^3 + 1146/37*e^2 + 1761/37*e - 1196/37', '22/37*e^5 - 4/37*e^4 - 395/37*e^3 + 425/37*e^2 + 1010/37*e - 783/37', '-5/37*e^5 - 26/37*e^4 + 78/37*e^3 + 450/37*e^2 - 95/37*e - 1149/37', '-12/37*e^5 - 73/74*e^4 + 515/74*e^3 + 636/37*e^2 - 2713/74*e - 1285/37', '53/37*e^5 - 13/37*e^4 - 997/37*e^3 + 595/37*e^2 + 2598/37*e + 147/37', '-43/37*e^5 + 28/37*e^4 + 767/37*e^3 - 755/37*e^2 - 1335/37*e - 402/37', '-53/37*e^5 + 13/37*e^4 + 960/37*e^3 - 743/37*e^2 - 2080/37*e - 258/37', '-51/37*e^5 - 21/37*e^4 + 877/37*e^3 - 257/37*e^2 - 2042/37*e - 87/37', '-29/37*e^5 - 13/74*e^4 + 853/74*e^3 - 313/37*e^2 - 251/74*e - 93/37', '-22/37*e^5 + 4/37*e^4 + 432/37*e^3 - 203/37*e^2 - 1343/37*e - 31/37', '6/37*e^5 - 28/37*e^4 - 138/37*e^3 + 570/37*e^2 + 188/37*e - 1448/37', '-24/37*e^5 - 36/37*e^4 + 367/37*e^3 + 199/37*e^2 - 826/37*e + 353/37', 'e^5 - 33/2*e^3 + 21/2*e^2 + 24*e + 37/2', '-9/37*e^5 + 42/37*e^4 + 207/37*e^3 - 781/37*e^2 - 689/37*e + 1580/37', 'e^5 + e^4 - 17*e^3 - 4*e^2 + 38*e + 25', '2*e^5 + e^4 - 36*e^3 + 4*e^2 + 102*e + 24', '-20/37*e^5 - 67/37*e^4 + 460/37*e^3 + 1171/37*e^2 - 2748/37*e - 3005/37', '-6/37*e^5 + 65/37*e^4 + 138/37*e^3 - 1125/37*e^2 + 34/37*e + 1485/37', '8/37*e^5 - 62/37*e^4 - 184/37*e^3 + 1130/37*e^2 + 448/37*e - 1906/37', '28/37*e^5 - 69/37*e^4 - 1029/74*e^3 + 2619/74*e^2 + 680/37*e - 1391/74', '-22/37*e^5 - 33/37*e^4 + 358/37*e^3 + 315/37*e^2 - 825/37*e - 919/37', '-19/37*e^5 - 47/37*e^4 + 363/37*e^3 + 637/37*e^2 - 1730/37*e - 2013/37', '1/2*e^5 + 1/2*e^4 - 17/2*e^3 - e^2 + 20*e + 15/2', '-4/37*e^5 + 25/74*e^4 + 73/74*e^3 - 158/37*e^2 + 921/74*e - 9/37', '-50/37*e^5 - 38/37*e^4 + 928/37*e^3 + 97/37*e^2 - 2874/37*e - 1056/37', '24/37*e^5 - 38/37*e^4 - 515/37*e^3 + 615/37*e^2 + 1492/37*e + 239/37', '-32/37*e^5 - 11/37*e^4 + 588/37*e^3 - 228/37*e^2 - 1940/37*e + 76/37', '-e^4 - 2*e^3 + 13*e^2 + 3*e - 7', '-17/37*e^5 + 67/37*e^4 + 354/37*e^3 - 1171/37*e^2 - 212/37*e + 970/37', 'e^5 + 1/2*e^4 - 37/2*e^3 + e^2 + 99/2*e + 21', '-47/37*e^5 + 22/37*e^4 + 896/37*e^3 - 728/37*e^2 - 2336/37*e - 115/37', '21/74*e^5 + 13/74*e^4 - 483/74*e^3 - 94/37*e^2 + 1624/37*e + 1037/74', '79/74*e^5 - 11/74*e^4 - 1447/74*e^3 + 404/37*e^2 + 1657/37*e + 1223/74'], 'hecke_polynomial': 'x^6 - 2*x^5 - 19*x^4 + 46*x^3 + 38*x^2 - 92*x - 31', 'id': 73, 'label': '3.3.49.1-419.1-a'}