Database - mf_hecke_nf ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-03-14T14:02:57.289678

Query: /api/mf_hecke_nf/?_offset=0

Column	Type
an	jsonb
ap	jsonb
char_orbit_index	smallint
field_poly	numeric[]
hecke_orbit_code	bigint
hecke_ring_character_values	jsonb
hecke_ring_cyclotomic_generator	integer
hecke_ring_denominators	numeric[]
hecke_ring_inverse_denominators	numeric[]
hecke_ring_inverse_numerators	numeric[]
hecke_ring_numerators	numeric[]
hecke_ring_power_basis	boolean
hecke_ring_rank	integer
label	text
level	integer
maxp	integer
weight	smallint

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-1, -1, -6, 0, 0, 8, 7], [-19, -19, -11, -7, -6, 0, 0, 0, 4, 11, 0, 0, -4, 0, 7, 8], [32, 5, 5, -8, 0, 2, -1, 0, 0, 0, -5, -1, 1, 5, 0, 0], [2, 2, 4, -3, -1, 0, 0, 0, -3, -4, 0, 0, -10, 4, 3, 4], [-9, -4, 3, -2, 0, -4, 0, 4, -4, 0, 4, -7, 7, -4, 0, 0], [-1, -6, 0, 0, 1, -8, 1, -10, 0, 6, 5, -1, 0, 0, 13, -8], [8, 45, 0, 0, -8, 0, -8, 2, 0, 2, 1, 1, 0, 0, -4, 0], [20, 20, -4, 1, -6, 0, 0, 0, 1, 4, 0, 0, -4, -3, -1, -5], [2, -5, 0, 0, -2, -5, -2, 3, 0, 6, -6, -2, 0, 0, -1, -5], [-42, -42, -8, 2, -1, 0, 0, 0, 2, 8, 0, 0, 3, 2, -2, 0], [0, 0, -11, 1, 0, 0, 0, 0, 0, 11, 0, 0, 10, -1, -1, -11], [5, -3, -2, -1, 0, 5, 2, -3, 3, 0, 3, 5, -5, -3, 0, 0], [25, 25, 8, 0, 1, 0, 0, 0, -3, -8, 0, 0, -2, -3, 0, 1], [3, 9, 0, 0, -3, 1, -3, -1, 0, 5, -4, -1, 0, 0, -1, 1], [-12, 2, -9, -2, 0, -2, 7, 2, -2, 0, -2, 4, -4, 2, 0, 0], [-13, 2, 11, 1, 0, 5, -1, 3, -3, 0, -2, -6, 6, 2, 0, 0]], 'char_orbit_index': 17, 'field_poly': [6561, -2187, -729, 243, -648, -486, 216, 162, -45, 54, 24, -18, -8, 1, -1, -1, 1], 'hecke_orbit_code': 31526296936778056, 'hecke_ring_character_values': [[1783, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1189, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [353, [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1729, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 883548, 441774, 220887, 220887, 883548, 220887, 294516, 883548, 294516, 220887, 883548, 294516, 294516, 883548, 294516], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 1, -1, -1, 0, -1, 0, 0, 0, 0], [0, -2, 0, 1, 0, -1, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 0, 2, -1, 0, -2, -2, 2, 0, -1, -1, 0, 1, 0, 0, 0], [10, -1, 0, 5, -3, 4, -2, 3, -1, 4, -1, -1, 4, 0, -3, 0], [27, -4, 4, -5, -7, 1, -2, 2, -2, 3, 1, -2, -3, 1, 4, 8], [0, -9, -4, 12, -7, -13, 2, 9, 0, -8, 0, -12, -3, -2, -8, -1], [-71, -75, 16, 9, 1, -26, 1, 3, -1, 4, 18, 5, 10, -4, 5, -8], [63, 23, -1, 15, 13, -11, -5, 16, 47, 19, -15, -4, 15, 11, -13, 1], [-5, -156, 39, 23, -53, 41, -19, 5, -24, -11, -46, -30, 34, 35, -4, 13], [159, 110, 62, 68, -124, -36, -15, -27, 66, 105, 35, -12, -108, -29, -23, 77], [-297, 21, -145, 34, -86, -324, 108, 1, 8, -73, -2, -112, 27, 11, 137, 31], [-700, -627, 38, 352, 133, -546, 276, -38, 195, 180, 130, 72, 275, -124, -298, -449], [292, -659, 353, 61, 506, 208, 448, -177, 482, -110, -68, -145, 118, 157, 574, 233], [-468, -331, 66, 194, -120, -398, 175, 3, -255, 266, -880, -528, -84, 849, -435, -330], [-1417, 318, 1984, 1117, -864, -1663, -205, -2057, 681, -515, 667, 465, -1606, -810, 1116, -306]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2687823, 1439775, -89424, -92907, -154224, -330129, -153765, 19458, 17100, 13377, 19581, 6638, -1591, -1364, -551, -523], [1856763, 1084023, -65610, 85131, -142074, -213057, -107757, 15804, 2898, 13047, 16035, 2554, -203, -322, -319, -377], [1587762, -32805, -89667, 116073, 30537, -184734, -10827, 30204, -12159, 1479, 9138, 1457, -1816, 442, 133, -256], [242757, -131949, 372519, 257013, -34344, -65988, 3024, -19017, -21906, -717, 4152, -532, 479, 1108, 61, -274], [-4056885, -238383, -519048, -739287, 296622, 410697, 96579, -6192, 44298, -17169, -29931, -7276, -73, -680, 145, 1163], [1257525, 146529, -389772, -18873, -19683, -105489, -23814, 28224, -5805, 888, 7704, 1498, -689, 140, 86, -284], [-1161297, -641520, -737100, -77355, 259875, 164376, 93411, 54531, 12153, -23892, -12511, -3307, -2156, 76, 821, 444], [-5113206, -312741, -510300, -881442, 64071, 559899, 119178, -16803, 108045, -10095, -36114, -6169, 1709, -1868, -530, 1541], [-3167505, -793395, 191160, 28269, 224478, 321057, 76455, -37980, -7962, -19317, -16363, -4080, 2159, 912, 685, 547], [2375082, 1434672, 44712, -387423, -221535, -223938, -123066, 34686, 31950, 16293, 13146, 4601, -1306, -1838, -800, -409], [12157533, -1154007, -2316276, 827739, -87804, -1125927, -130059, 306486, -59004, 9087, 60159, 6958, -13469, 80, 851, -2081], [2317491, 1145259, 307476, 48033, -215244, -276021, -144333, -10458, 4308, 25689, 17581, 6350, 693, -752, -1095, -707], [5621319, 1836351, -378756, -426951, -337068, -532089, -203517, 106974, 43260, 26865, 28501, 8346, -5111, -2568, -259, -919], [-9498141, -2820501, -1044900, -551043, 1076652, 1131867, 335691, 14454, 38304, -84567, -80871, -11306, -1151, 1604, 2573, 3289], [4448358, 522693, 464940, 609282, -344115, -553743, -124218, 9891, -49053, 30075, 39778, 6529, -1321, 1184, -890, -1629]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'id': 104549, 'label': '2376.2.q.h', 'level': 2376, 'maxp': 1999, 'weight': 2}