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

Formats: - HTML - YAML - JSON - 2026-02-28T20:12:25.947257

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, -1, 0], [-1, 0, 1, -1, -1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, -2, 0, 2, 0, -2, 0, 2], [0, -1, 0, 1, 1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1], [3, 0, -3, 0, 3, 0, -3, 0], [0, 2, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, -1, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, -2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, -2], [0, 0, 0, 3, 0, 0, 0, 0], [0, -2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 0, 0, 0, 0, 3, 0], [3, 0, -3, 0, 3, 0, -3, 0], [0, 0, 0, 0, 0, 0, 0, -3], [0, -1, 0, 1, -5, -1, 0, 1], [0, -1, 0, 1, 0, -1, 0, 1], [0, 0, 2, 0, 0, 0, 0, 0], [4, 0, -4, -2, 4, 0, -4, 0], [0, 0, 0, 0, 0, 0, 2, 0], [5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -4, 0], [-1, 0, 1, 2, -1, 0, 1, 0], [0, 0, -8, 0, 0, 0, 0, 0], [0, 3, 0, -3, 0, 3, 0, -3], [0, -3, 0, 3, -6, -3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 6], [-6, 0, 6, 0, -6, 0, 6, 0], [0, -1, 0, 0, 0, 0, -2, 0], [0, 0, 0, 0, 0, -3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-8, 0, 0, 0, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, -3, 0, 0, 0], [0, 0, -6, 0, 0, 0, 0, -6], [0, 0, 0, 3, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0], [-5, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0], [0, -3, 0, 0, 0, 0, -6, 0], [2, 0, -2, 0, 2, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 8], [0, 2, 0, -2, 4, 2, 0, -2], [0, 7, 0, -7, 0, 7, 0, -7], [0, 0, 2, 0, 0, 0, 0, 0], [-4, 0, 4, -1, -4, 0, 4, 0], [0, 0, 0, 0, 0, 0, -7, 0], [-12, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -4, 0, 0, 0, 0, 0], [0, -2, 0, 2, 0, -2, 0, 2], [0, 6, 0, -6, 3, 6, 0, -6], [0, 0, 0, 0, 0, 0, 0, 1], [-8, 0, 8, 0, -8, 0, 8, 0], [0, -3, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 4], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, -16, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, -1], [0, 0, 0, -12, 0, 0, 0, 0], [0, -3, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, 0, 0, 0, 8, 0], [-6, 0, 6, 0, -6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, -2, -2, 2, 0, -2], [0, -2, 0, 2, 0, -2, 0, 2], [0, 0, -12, 0, 0, 0, 0, 0], [-5, 0, 5, -5, -5, 0, 5, 0], [0, 0, 0, 0, 0, 0, 2, 0], [5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0, -1, 0], [-1, 0, 1, -1, -1, 0, 1, 0], [0, -2, 0, 2, 0, -2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0], [0, 0, -8, 0, 0, 0, 0, 0], [-6, 0, 6, 0, -6, 0, 6, 0], [0, 0, 0, 0, 0, -3, 0, 0], [0, 0, 0, -2, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8], [0, 7, 0, -7, 0, 7, 0, -7], [2, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, 2, 0, -2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -16, 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, 10, 0], [0, 0, -8, 0, 0, 0, 0, 0], [16, 0, -16, 0, 16, 0, -16, 0], [0, 0, 0, 0, 0, -3, 0, 0], [0, 0, 0, -2, 0, 0, 0, 0], [0, 7, 0, -7, 0, 7, 0, -7], [0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, 2, 0, -2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0], [20, 0, -20, 0, 20, 0, -20, 0], [0, 0, 0, 0, 0, 0, -20, 0], [0, 0, 0, 0, 0, 0, -12, 0], [-6, 0, 6, 0, -6, 0, 6, 0], [0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, -10, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -14], [0, -15, 0, 15, 0, -15, 0, 15], [22, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [0, -19, 0, 0, 0, 0, 0, 0], [-24, 0, 24, 0, -24, 0, 24, 0], [0, 0, 24, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 24, 0], [0, 0, 0, 0, 0, 0, 10, 0], [16, 0, -16, 0, 16, 0, -16, 0], [0, 0, 0, 0, 0, -3, 0, 0], [0, -18, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0], [0, 20, 0, -20, 0, 20, 0, -20], [0, 0, 0, 0, 0, 0, 0, -21], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, -19, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -3, 0, 0], [0, 0, 0, 20, 0, 0, 0, 0], [0, 0, 0, 0, 12, 0, 0, 0], [0, -18, 0, 0, 0, 0, 0, 0], [-20, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 23], [0, 0, 0, 0, -16, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -20, 0, 0, 0, 0, 0], [0, 0, -8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -3, 0, 0], [0, 0, 0, 0, 12, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -14], [2, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, 2, 0, -2, 0, 2], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -22, 0, 0], [20, 0, -20, 0, 20, 0, -20, 0], [0, 0, 0, 0, 0, 0, 32, 0], [0, 0, -30, 0, 0, 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0, 0, 0, 0], [-20, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -38, 0, 0, 0], [0, 0, 0, 0, 0, 22, 0, 0], [0, 0, 0, 0, 0, 0, -20, 0], [-6, 0, 6, 0, -6, 0, 6, 0], [0, 0, 0, 0, -32, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -14], [2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1], [0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -16, 0, 0, 0], [-2, 0, 2, 0, -2, 0, 2, 0], [0, 0, 0, 0, 0, 0, -20, 0], [0, 0, 0, 0, 0, 0, 10, 0], [0, 0, 0, 0, 0, -25, 0, 0], [0, 0, 0, -24, 0, 0, 0, 0], [0, -15, 0, 15, 0, -15, 0, 15], [0, -2, 0, 2, 0, -2, 0, 2], [0, 0, 0, 0, 50, 0, 0, 0], [0, 0, 0, -19, 0, 0, 0, 0], [0, 0, -42, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 24, 0], [0, 0, 0, 0, 0, 0, -12, 0], [0, 0, 14, 0, 0, 0, 0, 0], [0, 0, 0, -24, 0, 0, 0, 0], [0, 29, 0, -29, 0, 29, 0, -29], [-22, 0, 0, 0, 0, 0, 0, 0], [-20, 0, 0, 0, 0, 0, 0, 0], [0, -24, 0, 24, 0, -24, 0, 24], [0, 0, 0, 25, 0, 0, 0, 0], [0, 0, 0, 0, 0, -22, 0, 0], [-46, 0, 46, 0, -46, 0, 46, 0], [0, 0, 24, 0, 0, 0, 0, 0], [0, 0, 0, 0, 12, 0, 0, 0], [0, 26, 0, 0, 0, 0, 0, 0], [0, -15, 0, 15, 0, -15, 0, 15], [0, -2, 0, 2, 0, -2, 0, 2], [0, 25, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -38, 0, 0, 0], [0, 0, 0, 0, 0, 22, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -3, 0, 0], [0, 0, 0, -24, 0, 0, 0, 0], [0, -18, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8], [-42, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -21]], 'char_orbit_index': 6, 'field_poly': [16, 0, -8, 0, 4, 0, -2, 0, 1], 'hecke_orbit_code': 343630938475, '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, 1, 2, 2, 4, 4, 8, 8], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 30870, 'label': '363.2.f.a', 'level': 363, 'maxp': 997, 'weight': 2}