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

Formats: - HTML - YAML - JSON - 2025-12-21T08:05:06.673985

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

{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 3, 0, 0, 0], [0, 0, -7, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2], [0, -3, 0, 0, 0, -3, -3, -3], [0, 0, -8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -3, 0, 0], [0, 0, 0, -9, 0, 0, 0, 0], [22, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-21, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -4, 0, 0, 0, 0], [0, 0, 0, 0, 0, -8, 0, 0], [0, -6, 0, 0, 0, 0, 0, 0], [-5, 0, -5, 5, -5, 0, 0, 0], [0, -4, 0, 0, 0, -4, -4, -4], [0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 14], [-24, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, -9], [0, 0, 0, 0, -19, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0], [-27, 0, -27, 27, -27, 0, 0, 0], [-56, 0, -56, 56, -56, 0, 0, 0], [0, -12, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 66, 0, 0, 0], [0, 0, 0, 26, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -7, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-44, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 16], [0, 0, 0, 0, -63, 0, 0, 0], [0, 0, 30, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 6], [-12, 0, -12, 12, -12, 0, 0, 0], [0, 0, -66, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, -24], [42, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -18, 0], [0, 0, 0, 22, 0, 0, 0, 0], [0, 0, 0, 0, 0, 26, 0, 0], [0, 0, 15, 0, 0, 0, 0, 0], [-15, 0, -15, 15, -15, 0, 0, 0], [0, 19, 0, 0, 0, 19, 19, 19], [0, 12, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -28, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -18], [0, 0, 0, 0, 0, 0, 27, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 24, 0], [0, 0, 0, 18, 0, 0, 0, 0], [0, 0, 0, 0, 132, 0, 0, 0], [0, 20, 0, 0, 0, 0, 0, 0], [0, -42, 0, 0, 0, -42, -42, -42], [-12, 0, -12, 12, -12, 0, 0, 0], [0, -26, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -72, 0, 0, 0], [0, 0, 0, -97, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -28], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, -176, 0, 0, 0, 0, 0], [0, 18, 0, 0, 0, 18, 18, 18], [0, 27, 0, 0, 0, 27, 27, 27], [0, 0, -74, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 30, 0, 0], [0, 0, 0, 57, 0, 0, 0, 0], [42, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 12, 0], [0, 0, 0, 40, 0, 0, 0, 0], [0, 0, 0, 0, 0, -10, 0, 0], [0, 0, 81, 0, 0, 0, 0, 0], [44, 0, 44, -44, 44, 0, 0, 0], [0, 12, 0, 0, 0, 12, 12, 12], [0, 0, 168, 0, 0, 0, 0, 0], [0, 0, 0, 0, 88, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 42], [0, 0, 0, 0, 0, 0, -36, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -36, 0], [0, 0, 0, -198, 0, 0, 0, 0], [0, 0, 0, 0, -32, 0, 0, 0], [0, -14, 0, 0, 0, 0, 0, 0], [78, 0, 78, -78, 78, 0, 0, 0], [286, 0, 286, -286, 286, 0, 0, 0], [0, 12, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -21, 0, 0], [0, 0, 0, -62, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 15, 0], [0, 0, 0, 0, 0, 0, 0, 0], [133, 0, 0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 3, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2], [0, 0, -8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -4, 0, 0, 0, 0], [0, -4, 0, 0, 0, -4, -4, -4], [0, 0, 0, 0, -6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0], [0, -12, 0, 0, 0, 0, 0, 0], [0, 0, 0, 26, 0, 0, 0, 0], [0, 0, 30, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0], [42, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 26, 0, 0], [0, 0, 0, 0, 0, 0, 0, -18], [0, 20, 0, 0, 0, 0, 0, 0], [-12, 0, -12, 12, -12, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [0, 18, 0, 0, 0, 18, 18, 18], [0, 0, -74, 0, 0, 0, 0, 0], [0, 0, 0, 40, 0, 0, 0, 0], [0, 12, 0, 0, 0, 12, 12, 12], [0, 0, 0, 0, 0, 0, -36, 0], [0, 0, 0, -62, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 32], [0, 0, 74, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -12, 0, 0], [-200, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -12, 0, 0], [-188, 0, -188, 188, -188, 0, 0, 0], [0, 0, 0, 0, 0, 0, 12, 0], [0, -32, 0, 0, 0, -32, -32, -32], [0, 0, -74, 0, 0, 0, 0, 0], [0, 28, 0, 0, 0, 28, 28, 28], [0, 0, 0, 0, -160, 0, 0, 0], [0, 0, 0, 0, 182, 0, 0, 0], [0, 0, 0, 290, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -72], [0, 0, 0, 0, 0, 60, 0, 0], [0, 0, 0, 0, 0, 60, 0, 0], [-10, 0, -10, 10, -10, 0, 0, 0], [0, -34, 0, 0, 0, 0, 0, 0], [-298, 0, -298, 298, -298, 0, 0, 0], [0, 0, 0, 0, 0, 0, 40, 0], [-42, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -246, 0, 0, 0, 0], [0, 0, 0, 0, -302, 0, 0, 0], [0, -60, 0, 0, 0, 0, 0, 0], [0, 0, 0, -150, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -132], [0, 0, 0, 0, 0, 0, 0, 0], [130, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 88], [0, 148, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 68, 0], [0, -22, 0, 0, 0, -22, -22, -22], [0, 0, -448, 0, 0, 0, 0, 0], [0, 0, 0, 260, 0, 0, 0, 0], [0, 60, 0, 0, 0, 60, 60, 60], [0, 0, 0, 0, -50, 0, 0, 0], [0, 144, 0, 0, 0, 0, 0, 0], [86, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [-98, 0, -98, 98, -98, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 94], [-218, 0, 0, 0, 0, 0, 0, 0], [0, 0, 278, 0, 0, 0, 0, 0], [0, -100, 0, 0, 0, -100, -100, -100], [0, 0, 0, 0, 324, 0, 0, 0], [0, 0, 0, 0, 0, 0, 120, 0], [0, -92, 0, 0, 0, 0, 0, 0], [0, 0, -278, 0, 0, 0, 0, 0], [-68, 0, 0, 0, 0, 0, 0, 0], [-670, 0, -670, 670, -670, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -10], [0, -126, 0, 0, 0, 0, 0, 0], [-86, 0, 0, 0, 0, 0, 0, 0], [0, 76, 0, 0, 0, 76, 76, 76], [0, 0, 0, -510, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -160, 0], [0, 0, 0, 0, -170, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 84], [0, 0, -542, 0, 0, 0, 0, 0], [328, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 40, 0, 0], [0, 0, 0, 0, 0, 0, 0, -136], [-342, 0, -342, 342, -342, 0, 0, 0], [0, 0, 0, 0, 0, 0, -24, 0], [-86, 0, 0, 0, 0, 0, 0, 0], [0, 180, 0, 0, 0, 180, 180, 180], [0, -68, 0, 0, 0, -68, -68, -68], [0, 0, 0, 0, 446, 0, 0, 0], [0, -212, 0, 0, 0, 0, 0, 0], [0, 0, -58, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -152, 0, 0], [0, 0, 0, 0, 0, 222, 0, 0], [0, 84, 0, 0, 0, 0, 0, 0], [142, 0, 142, -142, 142, 0, 0, 0], [0, 0, 0, -400, 0, 0, 0, 0], [0, 0, 0, 0, 170, 0, 0, 0], [0, 256, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -212], [0, 0, 0, 0, 0, -36, 0, 0], [-706, 0, 0, 0, 0, 0, 0, 0], [738, 0, 738, -738, 738, 0, 0, 0], [0, -284, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 164, 0], [0, 14, 0, 0, 0, 14, 14, 14], [0, 0, 542, 0, 0, 0, 0, 0], [0, 0, 0, 700, 0, 0, 0, 0], [0, 0, 0, 0, 764, 0, 0, 0], [0, 0, 0, 0, 0, 0, 12, 0], [0, 0, 0, 0, -742, 0, 0, 0], [0, 0, -410, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -228, 0, 0], [-890, 0, -890, 890, -890, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 146], [0, 118, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -116, 0], [-746, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 634, 0, 0, 0, 0], [0, -240, 0, 0, 0, -240, -240, -240], [0, 0, 0, 0, 0, 0, -136, 0], [0, 0, 0, -458, 0, 0, 0, 0], [0, 0, 0, 0, 0, 152, 0, 0], [562, 0, 562, -562, 562, 0, 0, 0], [0, 102, 0, 0, 0, 0, 0, 0], [-42, 0, 0, 0, 0, 0, 0, 0], [0, 0, -624, 0, 0, 0, 0, 0], [0, 0, 0, -686, 0, 0, 0, 0], [0, 260, 0, 0, 0, 260, 260, 260], [0, 0, 0, 0, 94, 0, 0, 0], [0, 0, 0, -1118, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -348], [1274, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -282, 0, 0], [-298, 0, -298, 298, -298, 0, 0, 0], [0, -158, 0, 0, 0, -158, -158, -158], [0, 276, 0, 0, 0, 276, 276, 276], [0, 0, 0, 0, -182, 0, 0, 0], [0, -248, 0, 0, 0, 0, 0, 0], [0, 0, 0, 246, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 164], [0, 0, 250, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 142, 0, 0], [-56, 0, -56, 56, -56, 0, 0, 0], [0, 0, 0, 0, 0, 0, -76, 0], [1278, 0, 0, 0, 0, 0, 0, 0], [0, 342, 0, 0, 0, 342, 342, 342], [0, 0, 0, 0, 456, 0, 0, 0], [0, 0, 0, 0, 0, 0, -184, 0], [0, 0, 0, 0, -1094, 0, 0, 0], [0, 44, 0, 0, 0, 0, 0, 0], [-186, 0, -186, 186, -186, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 258], [428, 0, 428, -428, 428, 0, 0, 0], [0, -192, 0, 0, 0, -192, -192, -192], [0, 0, 0, -290, 0, 0, 0, 0], [0, -264, 0, 0, 0, -264, -264, -264], [0, 0, 0, 0, 0, 0, -24, 0], [0, -236, 0, 0, 0, 0, 0, 0], [460, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -352, 0, 0], [0, 0, 0, 0, 0, 0, 0, 396], [0, 126, 0, 0, 0, 0, 0, 0], [838, 0, 0, 0, 0, 0, 0, 0], [0, 0, -52, 0, 0, 0, 0, 0]], 'char_orbit_index': 8, 'field_poly': [81, -27, -18, 15, 1, 5, -2, -1, 1], 'hecke_orbit_code': 18014879596151147, 'hecke_ring_character_values': [[122, [-1, 0, 0, 0, 0, 0, 0, 0]], [244, [0, 0, 1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 3, 3, 27, 27, 27, 1, 27], 'hecke_ring_inverse_denominators': [1, 2, 2, 1, 2, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 0, 0, 0, 0], [5, 1, 5, -5, 5, 1, 1, 1], [0, 0, 0, -4, 0, 0, 0, -1], [0, 0, 0, 0, 7, 5, 0, 0], [-31, 0, 0, 0, 0, 0, 1, 0], [0, -8, 5, 0, 0, 0, 0, 0], [-83, -13, -83, 83, -83, -13, -13, -13]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -10, 0, 0, 0, 0, -1, 0], [0, -16, 0, 0, 0, 0, -1, 0], [162, -54, -36, -5, 2, 10, -4, -2], [135, 90, -75, -5, 2, 10, 5, -5], [-189, -126, 105, 7, 8, -14, -7, 7], [31, 0, 0, 0, 0, 2, 0, 0], [-648, 216, 144, -7, -8, -40, 16, 8]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 30908, 'label': '363.3.h.e', 'level': 363, 'maxp': 997, 'weight': 3}