Query:
/api/mf_hecke_nf/?_offset=0
Table mf_hecke_nf
Hecke eigenvalues of Galois orbits of newforms
{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [-182, 0, 1, 0], [0, 0, 0, 0], [0, 17, 0, 22], [0, 0, 0, 0], [-4719, 0, 18, 0], [0, 0, 0, 0], [0, -175, 0, -41], [0, 0, 0, 0], [-3158, 0, -115, 0], [0, 0, 0, 0], [0, -869, 0, -326], [0, 0, 0, 0], [-97998, 0, 106, 0], [0, 0, 0, 0], [0, -2437, 0, 365], [0, 0, 0, 0], [-236640, 0, 316, 0], [0, 0, 0, 0], [0, 791, 0, 2034], [0, 0, 0, 0], [-197757, 0, -364, 0], [0, 0, 0, 0], [0, -10524, 0, -750], [0, 0, 0, 0], [-176374, 0, 449, 0], [0, 0, 0, 0], [0, 7616, 0, -6824], [0, 0, 0, 0], [771216, 0, -2882, 0], [0, 0, 0, 0], [0, -17648, 0, -5892], [0, 0, 0, 0], [1110762, 0, 509, 0], [0, 0, 0, 0], [0, 75847, 0, 13402], [0, 0, 0, 0], [738338, 0, 9524, 0], [0, 0, 0, 0], [0, 30507, 0, 42527], [0, 0, 0, 0], [3734250, 0, -7995, 0], [0, 0, 0, 0], [0, 73218, 0, -19916], [0, 0, 0, 0], [709761, 0, 5192, 0], [0, 0, 0, 0], [0, -170820, 0, -113262], [0, 0, 0, 0], [-1125462, 0, -3403, 0], [0, 0, 0, 0], [0, 75025, 0, 47670], [0, 0, 0, 0], [2338608, 0, -38262, 0], [0, 0, 0, 0], [0, -5757, 0, 113435], [0, 0, 0, 0], [-10039766, 0, 35469, 0], [0, 0, 0, 0], [0, -342195, 0, -137802], [0, 0, 0, 0], [-17795804, 0, 17772, 0], [0, 0, 0, 0], [0, 34815, 0, 64673], [0, 0, 0, 0], [-20079648, 0, 16724, 0], [0, 0, 0, 0], [0, -178643, 0, 239142], [0, 0, 0, 0], [-1480206, 0, 26234, 0], [0, 0, 0, 0], [0, 52311, 0, -145341], [0, 0, 0, 0], [13750112, 0, -60124, 0], [0, 0, 0, 0], [0, -394318, 0, -143988], [0, 0, 0, 0], [17937, 0, -51786, 0], [0, 0, 0, 0], [0, 530989, 0, -189139], [0, 0, 0, 0], [34768500, 0, -117290, 0], [0, 0, 0, 0], [0, -484837, 0, -241030], [0, 0, 0, 0], [33161970, 0, 112810, 0], [0, 0, 0, 0], [0, 1620024, 0, 147644], [0, 0, 0, 0], [43704960, 0, 108208, 0], [0, 0, 0, 0], [0, 506603, 0, 598322], [0, 0, 0, 0], [14111218, 0, 115170, 0], [0, 0, 0, 0], [0, 1602975, 0, 917223], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 1, 0, 1], [-182, 0, 1, 0], [0, 17, 0, 22], [0, -175, 0, -41], [-3158, 0, -115, 0], [-97998, 0, 106, 0], [0, -2437, 0, 365], [0, 791, 0, 2034], [-176374, 0, 449, 0], [0, 7616, 0, -6824], [1110762, 0, 509, 0], [738338, 0, 9524, 0], [0, 30507, 0, 42527], [0, 73218, 0, -19916], [-1125462, 0, -3403, 0], [0, -5757, 0, 113435], [-10039766, 0, 35469, 0], [0, 34815, 0, 64673], [0, -178643, 0, 239142], [-1480206, 0, 26234, 0], [0, -394318, 0, -143988], [0, 530989, 0, -189139], [33161970, 0, 112810, 0], [14111218, 0, 115170, 0], [-57953750, 0, 149813, 0], [0, 265697, 0, -645666], [0, -1621099, 0, -1038049], [139275786, 0, -123887, 0], [-124917758, 0, -397488, 0], [0, 4954060, 0, 1931200], [0, -2800957, 0, 2534449], [-34349662, 0, 889732, 0], [0, 58091, 0, -265017], [-215880310, 0, -770103, 0], [0, 8698167, 0, -1564334], [1074954218, 0, 286997, 0], [0, 5842221, 0, -7293639], [0, 5743973, 0, 12692782], [368805610, 0, 48293, 0], [0, 9654049, 0, 1309237], [-466206390, 0, 1661585, 0], [0, -31787820, 0, 1482160], [-503824526, 0, -653678, 0], [-1490907382, 0, -2045271, 0], [0, 21580513, 0, 18563622], [0, 17562441, 0, 14302829], [0, 47700320, 0, 12234088], [0, 30806985, 0, 24508553], [1742268554, 0, 5521497, 0], [1700470642, 0, -9363414, 0], [0, 15440806, 0, -10258588], [3041025074, 0, -6103510, 0], [0, -27685709, 0, -35797013], [-171727358, 0, 6920032, 0], [0, -11718787, 0, 26214454], [-200894646, 0, 510057, 0], [0, 35754670, 0, 20469628], [-1515490006, 0, -2045275, 0], [-2904373966, 0, -16262622, 0], [0, -83894567, 0, 10619027], [1832458762, 0, -2656279, 0], [0, -117526485, 0, -76714587], [0, -170900753, 0, -11112694], [-13130555230, 0, 11000500, 0], [-1218677878, 0, -21558511, 0], [0, -107629075, 0, -46543257], [294464066, 0, 29081384, 0], [0, 324958663, 0, 25322291], [4157512778, 0, -49288711, 0], [701744066, 0, 52055592, 0], [0, -97435247, 0, -163028450], [0, 86066178, 0, 69467044], [-27063528470, 0, 4635661, 0], [0, -312655769, 0, -133653], [0, -61156304, 0, 264543648], [23998136554, 0, 40129245, 0], [-23327844726, 0, 16364001, 0], [1286097842, 0, -75963366, 0], [-7438305502, 0, 45215556, 0], [0, 595469511, 0, 28973833], [7466504266, 0, -53283967, 0], [0, 180370134, 0, 265002228], [-20770956366, 0, 30881658, 0], [0, 588182863, 0, 90649706], [0, 7697541, 0, -331018997], [14997854322, 0, 83013170, 0], [6902165410, 0, 47724900, 0], [46602112202, 0, 6353913, 0], [0, -353581406, 0, 209152812], [0, 805533727, 0, 239026333], [0, 35452752, 0, -56289880], [0, -701605291, 0, -624125794], [0, -416271921, 0, -276565297], [0, 124165573, 0, -465787003], [0, -1615073245, 0, -135060678], [10358608874, 0, 32807413, 0], [-30761994718, 0, 114854388, 0], [0, -104763163, 0, 264680823], [-35621217110, 0, 132768285, 0], [0, -301824521, 0, 50943593], [48323144490, 0, 166803325, 0], [0, -1748185413, 0, -942387227], [113855096482, 0, -138239596, 0], [0, 91940349, 0, 95484587], [86196229314, 0, -142166008, 0], [0, 427372721, 0, 635091399], [-56786424318, 0, -303529648, 0], [0, 2075283979, 0, -489116862], [63268061938, 0, 362231658, 0], [0, 2401980772, 0, 1335730088], [128366812746, 0, 294864129, 0], [-58232219470, 0, 76032578, 0], [0, 535950609, 0, -1431403265], [0, -1841312541, 0, -1347873894], [-890724878, 0, -228092030, 0], [0, 2967728095, 0, 359378193], [0, -768476115, 0, -427345194], [-105372376886, 0, -112840967, 0], [0, 861992965, 0, 1687015773], [-12303063094, 0, -854726623, 0], [-95809695374, 0, 334267378, 0], [96974900074, 0, 373200173, 0], [0, -630641121, 0, -1151845473], [0, 104453233, 0, -128400843], [-127237451094, 0, -560406147, 0], [263222293226, 0, 457791261, 0], [0, -1510948774, 0, -3464664148], [0, 442705483, 0, -2457214558], [-323143216502, 0, 235910545, 0], [0, -664042567, 0, -2715573879], [0, 4342919765, 0, 4350121822], [0, -3075368146, 0, -3449443548], [-178649170294, 0, -218712375, 0], [-90688027486, 0, 170236788, 0], [117686860658, 0, 908121874, 0], [401349593706, 0, -622471763, 0], [0, -2061680495, 0, 2741637149], [156808778858, 0, -607199483, 0], [-21627797214, 0, -457907948, 0], [0, -6952740199, 0, -3133538161], [-403705321750, 0, 123623149, 0], [0, -2460348065, 0, 2112267786], [0, -7356369863, 0, 1427522251], [-400726811670, 0, -698657099, 0], [0, 8896268457, 0, -109685690], [-76680233942, 0, 1523998149, 0], [681714750626, 0, -498758668, 0], [0, -1887516801, 0, 640973171], [0, -1429479368, 0, 3716591368], [-213610462646, 0, 428530537, 0], [209571240258, 0, 831305704, 0], [0, 7071676855, 0, -3124343051], [0, 1294926335, 0, 1457087802], [0, 2033984151, 0, -1483588633], [0, 11966819446, 0, 4573836444], [0, -2971170353, 0, 7596404818], [-675603366286, 0, -613698414, 0], [563202084978, 0, 87598410, 0], [368610686602, 0, 2287025793, 0], [0, -11935910285, 0, -8825054139], [16870797090, 0, -119873404, 0], [0, -8127167335, 0, -2141355482], [0, -671015137, 0, 11300152983], [-805002326222, 0, 1371332522, 0], [0, 6209923763, 0, 5043974050], [0, 17944930924, 0, -2758601720], [-527400022678, 0, 1853752173, 0]], 'char_orbit_index': 3, 'field_poly': [100, 0, -19, 0, 1], 'hecke_orbit_code': 137589948448, 'hecke_ring_character_values': [[31, [-1, 0, 0, 0]], [5, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 5, 5, 5], 'hecke_ring_inverse_denominators': [1, 128, 512, 128], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, -1, 1, 0], [4864, 7, 0, 16], [0, -29, 9, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 288, 0, -32], [0, 928, 0, -32], [-1520, -126, 160, 14]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 4559, 'label': '32.9.c.a', 'level': 32, 'maxp': 997, 'weight': 9}