Query:
/api/mf_hecke_nf/?_offset=0
Table mf_hecke_nf
Hecke eigenvalues of Galois orbits of newforms
{'an': [[1, 0, 0, 0], [0, 16, 0, 0], [0, 29, 1, 0], [-256, 0, 0, 0], [0, 0, 0, 0], [-464, 0, 0, -16], [0, -2401, 0, 0], [0, -4096, 0, 0], [10186, 0, 0, -58], [0, 0, 0, 0], [-21573, 0, 0, 222], [0, -7424, -256, 0], [0, -41869, -1425, 0], [38416, 0, 0, 0], [0, 0, 0, 0], [65536, 0, 0, 0], [0, -7737, 1779, 0], [0, 162976, -928, 0], [218074, 0, 0, 6801], [0, 0, 0, 0], [69629, 0, 0, 2401], [0, -345168, 3552, 0], [0, 379350, 8625, 0], [118784, 0, 0, 4096], [0, 0, 0, 0], [669904, 0, 0, 22800], [0, 364153, 28187, 0], [0, 614656, 0, 0], [38145, 0, 0, -34926], [0, 0, 0, 0], [1946252, 0, 0, -27729], [0, 1048576, 0, 0], [0, 1296015, -15135, 0], [123792, 0, 0, -28464], [0, 0, 0, 0], [-2607616, 0, 0, 14848], [0, 829294, -149049, 0], [0, 3489184, 108816, 0], [13549001, 0, 0, 83194], [0, 0, 0, 0], [-11068116, 0, 0, -200427], [0, 1114064, 38416, 0], [0, -17156698, -32841, 0], [5522688, 0, 0, -56832], [0, 0, 0, 0], [-6069600, 0, 0, -138000], [0, 30355575, -144717, 0], [0, 1900544, 65536, 0], [-5764801, 0, 0, 0], [0, 0, 0, 0], [-15174651, 0, 0, -43854], [0, 10718464, 364800, 0], [0, -55689936, 345708, 0], [-5826448, 0, 0, -450992], [0, 0, 0, 0], [-9834496, 0, 0, 0], [0, 65193602, 415303, 0], [0, 610320, -558816, 0], [55750452, 0, 0, 795096], [0, 0, 0, 0], [-77422468, 0, 0, -752181], [0, 31140032, -443664, 0], [0, -24456586, 139258, 0], [-16777216, 0, 0, 0], [0, 0, 0, 0], [-20736240, 0, 0, 242160], [0, 153487336, -1083828, 0], [0, 1980672, -455424, 0], [-85659150, 0, 0, -629475], [0, 0, 0, 0], [-81556128, 0, 0, 2194992], [0, -41721856, 237568, 0], [0, -92189290, 1862958, 0], [-13268704, 0, 0, 2384784], [0, 0, 0, 0], [-55826944, 0, 0, -1741056], [0, 51796773, -533022, 0], [0, 216784016, 1331104, 0], [-355853525, 0, 0, -2989272], [0, 0, 0, 0], [-54056071, 0, 0, -2323190], [0, -177089856, -3206832, 0], [0, -192490212, -4942146, 0], [-17825024, 0, 0, -614656], [0, 0, 0, 0], [274507168, 0, 0, 525456], [0, -301213251, -974709, 0], [0, 88363008, -909312, 0], [-266701512, 0, 0, -6491913], [0, 0, 0, 0], [-100527469, 0, 0, -3421425], [0, -97113600, -2208000, 0], [0, -183580916, 1142111, 0], [-485689200, 0, 0, 2315472], [0, 0, 0, 0], [-30408704, 0, 0, -1048576], [0, -135985229, -4556229, 0], [0, -92236816, 0, 0], [-331197234, 0, 0, 3512526], [0, 0, 0, 0]], 'ap': [[0, 16, 0, 0], [0, 29, 1, 0], [0, 0, 0, 0], [0, -2401, 0, 0], [-21573, 0, 0, 222], [0, -41869, -1425, 0], [0, -7737, 1779, 0], [218074, 0, 0, 6801], [0, 379350, 8625, 0], [38145, 0, 0, -34926], [1946252, 0, 0, -27729], [0, 829294, -149049, 0], [-11068116, 0, 0, -200427], [0, -17156698, -32841, 0], [0, 30355575, -144717, 0], [0, -55689936, 345708, 0], [55750452, 0, 0, 795096], [-77422468, 0, 0, -752181], [0, 153487336, -1083828, 0], [-81556128, 0, 0, 2194992], [0, -92189290, 1862958, 0], [-355853525, 0, 0, -2989272], [0, -192490212, -4942146, 0], [-266701512, 0, 0, -6491913], [0, -135985229, -4556229, 0], [-156859338, 0, 0, -7295343], [0, -550379035, -2638371, 0], [0, -157180290, 17115642, 0], [396772771, 0, 0, 3105348], [0, -139139298, 21934071, 0], [0, -91000196, -190572, 0], [-1872966414, 0, 0, 34300863], [0, 1267362048, -23029419, 0], [-3377783090, 0, 0, -44103276], [-518924394, 0, 0, -32794482], [-1833360907, 0, 0, -43143990], [0, -4811736698, 40088028, 0], [0, -11800641886, 10479240, 0], [0, 4212757371, 137688159, 0], [0, -15028512735, 31802427, 0], [11000983572, 0, 0, 83811000], [10307011448, 0, 0, 69462108], [657119259, 0, 0, 288172470], [0, -3919449184, 116782047, 0], [0, -5772803184, 120793113, 0], [-37328191772, 0, 0, -48654822], [44481489125, 0, 0, -102869196], [0, 19810997861, -506760837, 0], [0, -42048565545, 48458673, 0], [-9071862236, 0, 0, 42215115], [0, -27298265880, 46186956, 0], [-50096232945, 0, 0, 15928254], [70071308210, 0, 0, 142328745], [33914304006, 0, 0, -671067336], [0, 37556781150, 890709498, 0], [0, -25740994734, 609482076, 0], [36596349414, 0, 0, -1029824718], [17593678532, 0, 0, 556727283], [0, -49043917394, 185552706, 0], [21305038035, 0, 0, -941939754], [0, -50373515737, 144758625, 0], [0, -210056918043, 237780663, 0], [0, 50230843585, -303604893, 0], [-486086634, 0, 0, 241484775], [0, -222733902049, -560873079, 0], [0, 42670158618, -1995604866, 0], [-41535614764, 0, 0, -1548517152], [0, -374851014194, 430757460, 0], [0, -117983539986, -890610555, 0], [62011856374, 0, 0, 1864134981], [0, -336310024203, -703002621, 0], [-104950116432, 0, 0, 35278044], [0, -226268613281, 1893297807, 0], [0, -132005726680, 2416140381, 0], [-476570692316, 0, 0, -849303432], [0, -203977400724, 3563742270, 0], [-95979299241, 0, 0, 6891815592], [0, -223575656465, -5727620745, 0], [-580720414671, 0, 0, -2892511608], [-715397901842, 0, 0, 951028182], [-311543851800, 0, 0, -7063463964], [-49573685995, 0, 0, 1833922890], [-20416015473, 0, 0, -1944578772], [0, -319349289058, 11532003516, 0], [187221527530, 0, 0, 9056599488], [0, 350406019374, -3160474029, 0], [36681798441, 0, 0, -14543408526], [0, 355000800640, 7814292855, 0], [-661862978304, 0, 0, 1938327744], [0, 916588803284, -1403970123, 0], [0, -139230503547, -5498786853, 0], [-608101896714, 0, 0, 5206938945], [0, -422628044726, -9837610272, 0], [-90029576535, 0, 0, -7945729458], [-560560268207, 0, 0, -15046471746], [0, 416396007627, -10700996403, 0], [1465988541822, 0, 0, -8495394852], [-2975248503186, 0, 0, 2551943133], [0, -536510595292, -18154295964, 0], [-1839326013745, 0, 0, -3731392818], [0, -471049734188, -17219460015, 0], [0, 1515408860208, -17905605996, 0], [0, 1540253638548, 8728132848, 0], [-783759006330, 0, 0, 24815764656], [-762457064380, 0, 0, 6467105358], [0, 431446249429, 38872620171, 0], [0, -545771808480, 12134707638, 0], [0, 1318417612635, 11875617501, 0], [2440524923337, 0, 0, 2656757868], [3684634778714, 0, 0, -187657332], [0, 67797558853, 14625579735, 0], [0, -737088246862, -44101211724, 0], [0, 2992483808826, 31739779122, 0], [131974639198, 0, 0, -20877270741], [-3037319444401, 0, 0, 31478462010], [-3706561422558, 0, 0, -13551130560], [0, 145069104773, 25063842249, 0], [0, 3062945198904, 33951404502, 0], [0, -205954293378, -70021086921, 0], [4176091765953, 0, 0, -17098893396], [-2319412077904, 0, 0, -49166535354], [0, -3970139791960, 7993069539, 0], [0, 139662907125, -73537973637, 0], [0, -6020374080924, -35760761067, 0], [-124730203684, 0, 0, 57209602242], [-4751167048725, 0, 0, 5813940102], [-2433157305551, 0, 0, 65312151348], [-4405741555338, 0, 0, 88212703479], [0, -7318271288792, 15327835182, 0], [0, 3163214818727, 23814662487, 0], [679900188349, 0, 0, 82421276898], [0, -7380483029832, -66036569466, 0], [2290404790037, 0, 0, -122253759828], [0, 6241197445240, 22862782662, 0], [10545658553130, 0, 0, -75584722077], [-15148692683282, 0, 0, -2928118068], [0, -11779069067949, -20520884013, 0], [0, 4836051782527, -34663447065, 0], [0, -9957572460177, 65940586761, 0], [-15630512334825, 0, 0, 17275185576], [9032348848550, 0, 0, -135962365002], [17384813807961, 0, 0, 19816311750], [0, -19290184730716, -46697243811, 0], [0, 7501437726090, -45363190296, 0], [13441515394780, 0, 0, 56847739251], [-11365954973478, 0, 0, -110481886971], [0, -13036198676470, 9191200176, 0], [0, 341571131082, -14135152596, 0], [16535350865572, 0, 0, -35134458264], [0, 18401166379704, -80768780427, 0], [0, -6746842696142, -50067832959, 0], [26471394525984, 0, 0, 13131664548], [0, -13434138807664, -109749236199, 0], [0, 13405671152880, 153082861824, 0], [0, 15806501549482, -208226938989, 0], [13645356973704, 0, 0, -17456998554], [13122256062175, 0, 0, -139862651814], [10079680153248, 0, 0, 184175477574], [0, -3313672783661, -121606884279, 0], [18391556201364, 0, 0, -127150455117], [0, 5276767529520, -163081080021, 0], [0, 22081997483160, 94767637299, 0], [0, 13678904481562, 99990233274, 0], [18101648936760, 0, 0, 33252356331], [0, -2615895136962, 311797029837, 0], [0, -94384970325, -334617458259, 0], [-5284216000528, 0, 0, 532882022328], [0, 4735502632555, 497275661133, 0]], 'char_orbit_index': 3, 'field_poly': [18225, 0, 271, 0, 1], 'hecke_orbit_code': 31525334998319454, 'hecke_ring_character_values': [[127, [-1, 0, 0, 0]], [101, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 135, 135, 1], 'hecke_ring_inverse_denominators': [1, 8, 8, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -4, 1, 0], [-1084, 0, 0, 1], [0, 203, -17, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 136, 0, 1], [0, 1624, 0, 4], [1084, 0, 8, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 30148, 'label': '350.10.c.h', 'level': 350, 'maxp': 997, 'weight': 10}