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

Formats: - HTML - YAML - JSON - 2025-12-30T09:04:21.999336

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, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, -1, -1, 1, -1, -1, -1, 1, 0, -1], [-1, 0, 0, 0, 0, 0, -1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0], [-1, 0, -1, 1, 1, 0, -1, -1, 1, 0, 1, 0, 1, 0, 1, -1, 0, 0], [-1, 1, -1, 0, -1, -2, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0], [0, 0, 0, 0, 0, 1, 1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0], [-1, -1, 1, 1, 1, 1, 0, 0, -2, 0, 0, 0, 2, 2, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 1, -1, 0, -1, 0, 1, 0], [0, 1, -1, 0, 0, 1, -2, 0, 0, 0, 1, 0, 1, -1, 0, -1, 1, -1], [-1, -2, 1, 1, 1, 1, 0, 2, 0, -1, 1, 0, -1, -1, 1, -1, 1, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, -1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0], [2, 1, 0, -1, -1, -1, -2, -1, -1, 0, 2, -1, -2, 1, 0, -1, 1, 1], [1, 0, 0, 0, -1, 0, 1, 0, -2, -1, -1, -1, -1, 1, -1, 0, 1, 0], [0, -1, 0, 1, 0, 0, 0, 0, -1, 3, 3, 0, 0, 2, -2, 0, 2, 1], [-1, 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 1, 0, -1, 0, 0, 0, -1], [0, -1, 0, 1, 1, 0, 0, 0, -2, 0, 0, -1, 2, 0, 2, 1, -1, -1], [0, -1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, -1, 2, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, -1, -2, -2, 0, 0, 0, -3, -2, 0, -3, -1, -2, 0, 0, 0], [-1, 2, 0, -1, -1, -1, 1, -2, 1, 0, -1, 1, -1, -1, 1, -1, 0, -1], [0, 0, -1, -1, 1, 1, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0], [0, 0, -2, -1, -2, -1, -1, -1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1], [0, 2, -1, -2, 0, -1, -3, 1, 1, 4, 4, -1, 3, 0, 4, -1, 0, 1], [0, -1, -1, 0, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, -1, 0, 1, 0], [2, 0, 3, 2, 3, 2, 3, 2, 1, -5, -2, 1, 0, -1, -3, 0, 0, -1], [0, -2, 1, 2, 2, 2, -2, 0, 1, 2, 0, -1, 5, -1, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 1, 0, 0], [3, 2, 0, -1, 1, -2, 3, -1, 0, -3, -3, 0, -3, 0, -3, 0, 0, 0], [0, -1, 0, 0, 0, 1, 3, 0, 1, 0, -3, 0, 0, 0, 0, 0, -1, 0], [-1, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0], [-2, -1, 1, 0, 1, 0, 1, 1, -3, 2, -2, 0, -2, 2, 0, 2, -1, 1], [-3, 0, 1, 1, 1, 1, 0, 0, 0, -2, -2, 0, -2, 1, -2, 1, -1, 0], [-1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, -2, 2], [-1, 1, 2, -2, -1, -2, -1, 0, 2, 1, 0, -1, 3, -2, 1, 0, -1, -1], [0, -2, -1, -1, 2, -1, -1, 0, 0, 1, 0, -1, -1, 0, 0, 0, -1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, -1, 0, -1, 0, 0], [-3, 0, 0, 0, -1, -1, 0, 0, 0, 3, 5, -1, 3, 0, 5, 1, -1, 0], [2, 0, 0, 0, 2, 0, 0, 2, -1, -2, 0, 0, 0, 1, 0, 1, -1, 1], [1, 2, -1, -1, -1, 0, 1, -1, 0, 0, -2, -1, 0, 0, 0, -1, 0, -1], [-1, -1, 0, -3, 0, 1, -4, -3, 2, 2, 4, 2, 1, -2, 2, 2, -2, -2], [3, 3, 0, -1, -2, -3, -1, -1, 3, -4, 1, 3, -3, -3, -4, 0, 0, 0], [0, -1, 1, 1, 0, 1, -2, 2, -1, 1, 1, -1, 2, 0, 0, -1, 0, -1], [0, 0, 1, 1, 0, 1, 2, 0, 1, -2, 0, 1, 1, -1, 0, 0, 1, 0], [0, 0, -3, -1, -3, -2, 1, -2, -1, 4, 0, -1, 0, 1, -1, 0, 0, 1], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, -1, 3, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [4, 0, 0, 2, 0, 2, 6, 2, -1, -4, -4, -1, 0, 0, -6, 1, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0], [-4, 0, 1, 0, -2, 1, -1, -1, -2, 6, 2, -2, -1, 2, 2, 1, 1, 1], [4, 0, -1, -1, 0, 0, 0, 0, 0, -5, -4, 2, -5, 1, -4, -1, 1, 0], [2, 0, 0, 0, 0, -1, -2, -1, -1, 0, -2, -1, 0, 1, 2, -1, 0, 1], [0, 2, -2, -2, 0, -2, -1, -1, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0], [7, -2, -1, -1, -1, 0, 7, -1, 0, 0, -5, -1, -2, 0, -2, -1, 2, -1], [0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0, 1], [-4, -2, 1, 0, 2, 0, -4, 0, -2, 4, 0, 1, 4, 2, 4, 0, 1, 0], [0, 0, -1, 0, 0, -1, 1, 0, -2, 1, 1, -1, -1, 1, 1, -1, 1, -1], [5, -1, 0, 1, 1, 1, 2, 1, 1, -2, -2, 0, -5, 0, -2, -2, 1, 2], [-1, -3, 0, 4, 3, 3, 0, 4, -2, 3, 0, 0, 1, 0, 3, 0, 2, 0], [-4, 2, -2, -1, -1, 0, -4, -2, -1, 0, 2, -1, 4, 0, 4, 0, 3, -1], [-1, 2, -2, 0, -1, -1, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, -1, 1], [3, 4, -4, -4, -5, -5, 0, -4, 0, -7, 1, 0, -7, -1, 1, -3, 3, 0], [-3, -2, 2, 0, 3, 1, -2, 3, 1, 3, 3, 0, 3, -2, 0, -2, 2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, -1, 0, 0, 0, -1], [5, -2, 4, 2, 2, 2, 6, 0, -1, -6, 0, 1, -2, 1, -5, 0, 1, 1], [-6, 0, 0, 0, 0, 3, -9, 0, -3, 6, 3, 0, 3, 2, 0, 2, -1, 1], [-2, -1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, -1, 0], [2, 0, 0, 0, -2, 0, 2, -2, 0, -2, -2, 0, -2, -1, 0, -1, 1, -1], [1, 3, -3, -3, -3, 0, 1, -3, -2, 0, 6, 1, 0, 0, 0, 3, -1, 1], [-2, 0, 0, 1, 0, 0, -2, 1, -1, 2, 2, 0, 2, 0, 2, 1, 0, -1], [0, 2, 0, 1, 0, -2, 0, 1, 1, -1, 0, -2, 0, 2, -1, -1, -2, 1], [0, -3, 1, 3, 0, 1, 3, 3, 3, 0, 0, 2, -3, -3, -5, 2, -3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [-2, 0, -1, 5, -1, 1, -3, 1, -1, -1, 2, -1, 0, -1, 3, 0, 0, -1], [-1, -1, 1, 1, 1, 0, -1, 1, 3, 0, 4, 1, 0, 0, 0, -2, 2, 1], [0, -2, 1, 2, 0, 1, -1, 0, -1, -2, -2, 0, 1, 0, -2, 0, 0, -1], [-2, 0, 1, -1, 1, -1, 2, -1, 1, 3, 2, 1, 0, 1, -2, -2, 0, 1], [-10, 3, 0, 0, -2, -2, 0, -3, 0, 2, -1, 1, 2, 3, -1, 1, -1, 0], [-2, 1, -1, -1, 0, -2, -2, -2, 1, 1, 2, -1, 1, -1, 0, 0, -1, -1], [-1, -2, 2, 2, -1, -1, 0, 2, 0, -1, -3, 0, -1, 0, -3, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, -3, -5, -1, -3, 0, -2, 0, -2, 0, -2], [0, 1, 1, -1, 0, 1, 1, 0, -1, 0, 0, 0, -1, 1, 0, 0, 1, 0], [1, -1, 1, 1, 1, 0, 1, 1, -1, 0, -6, -1, -2, 0, -2, 0, 1, -1], [1, 0, 1, 2, 1, -1, 2, -1, 0, -3, -1, 0, 0, 2, -2, 0, 0, 2], [-1, -1, 1, 2, 1, 2, -1, 0, 2, 1, 0, 1, 0, -2, 1, 0, 1, 1], [0, 1, 0, -1, 0, 0, -6, 1, -1, -1, -1, 2, 6, -2, -1, 2, -2, -3], [-3, -1, 0, 1, 3, 1, -2, 1, 0, 2, 2, -1, 3, 1, 2, 0, -1, 0], [0, 1, 0, -2, -3, -1, -1, -2, -2, 4, 1, -1, 0, 1, 4, 0, 1, 0], [-5, -2, -1, 2, 2, 0, -5, -1, -2, 0, 4, 0, -1, 0, -1, 2, -1, 0], [5, 1, -1, 0, 1, -1, 5, 1, 3, -5, -12, 0, -12, -3, 0, -3, 1, -1], [0, -1, 1, 1, 2, 2, 0, 1, 0, -1, -1, 0, -1, 0, -1, -1, 1, 0], [-5, 1, -1, 0, 2, 4, 0, 2, 1, 5, 6, 0, 6, 1, 0, 1, 0, 0]], 'ap': [[0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 1], [-1, 1, -1, 0, -1, -2, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, -1, 0, -1, 0, -1, 0, 0, 0, 0, 0], [-1, -2, 1, 1, 1, 1, 0, 2, 0, -1, 1, 0, -1, -1, 1, -1, 1, 0], [1, 0, 0, -1, -1, 0, 1, 0, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0], [-1, 1, 0, 1, -1, 1, 0, 0, -1, 0, 0, 0, 1, 1, 1, 0, 0, 1], [-1, 2, 0, -1, -1, -1, 1, -2, 1, 0, -1, 1, -1, -1, 1, -1, 0, -1], [0, 0, -2, -1, -2, -1, -1, -1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1], [3, 2, 0, -1, 1, -2, 3, -1, 0, -3, -3, 0, -3, 0, -3, 0, 0, 0], [-3, 0, 1, 1, 1, 1, 0, 0, 0, -2, -2, 0, -2, 1, -2, 1, -1, 0], [-1, 1, 2, -2, -1, -2, -1, 0, 2, 1, 0, -1, 3, -2, 1, 0, -1, -1], [2, 0, 0, 0, 2, 0, 0, 2, -1, -2, 0, 0, 0, 1, 0, 1, -1, 1], [0, 0, -3, -1, -3, -2, 1, -2, -1, 4, 0, -1, 0, 1, -1, 0, 0, 1], [4, 0, -1, -1, 0, 0, 0, 0, 0, -5, -4, 2, -5, 1, -4, -1, 1, 0], [0, 2, -2, -2, 0, -2, -1, -1, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0], [-1, -3, 0, 4, 3, 3, 0, 4, -2, 3, 0, 0, 1, 0, 3, 0, 2, 0], [-3, -2, 2, 0, 3, 1, -2, 3, 1, 3, 3, 0, 3, -2, 0, -2, 2, -2], [5, -2, 4, 2, 2, 2, 6, 0, -1, -6, 0, 1, -2, 1, -5, 0, 1, 1], [0, 2, 0, 1, 0, -2, 0, 1, 1, -1, 0, -2, 0, 2, -1, -1, -2, 1], [-1, -1, 1, 1, 1, 0, -1, 1, 3, 0, 4, 1, 0, 0, 0, -2, 2, 1], [1, 0, 1, 0, 1, 0, 0, 0, -3, -5, -1, -3, 0, -2, 0, -2, 0, -2], [-5, -2, -1, 2, 2, 0, -5, -1, -2, 0, 4, 0, -1, 0, -1, 2, -1, 0], [2, -1, 1, 1, 1, 1, -1, 0, 1, 1, 0, 2, 3, -1, -2, 0, 2, 3], [-1, 3, -3, 0, -3, -2, 3, -3, 1, 1, 0, 0, 0, 3, 0, 3, -2, 2], [7, 0, 0, -1, -3, 0, -1, -1, -1, 2, 1, -1, -7, 1, 2, 0, 0, 0], [0, 4, -5, -4, 0, -5, -4, -4, 4, 1, 1, -1, 4, -4, -3, -1, -4, 0], [0, -2, 1, 2, 0, 1, -5, 2, 0, 1, 1, -1, 5, 2, 8, -1, 2, 2], [-1, -1, 1, 0, -3, -1, -2, -3, 2, 1, 0, 0, 0, -3, 0, -3, 3, -3], [1, 5, -1, -3, -5, -3, 2, 0, 0, -2, 0, -5, 0, 0, -1, 0, -5, 1], [2, -3, 0, 1, -1, 3, 2, 1, -1, 2, -2, 1, -2, -1, 2, 3, -1, -3], [2, -2, 0, 2, 2, 2, 8, 0, 0, -8, 0, 0, -6, 0, -2, 0, 0, 1], [4, 0, -2, 1, 1, 0, 4, -2, 0, 0, -2, 2, 4, 0, 4, 2, -2, 2], [-3, 5, -7, -2, -5, -2, -5, 0, 0, 5, 0, 0, 6, 0, 3, 0, 0, 1], [-8, 1, 0, 0, -1, -1, 0, -1, 0, 0, -1, 0, 0, 2, -1, -1, 1, 0], [3, 3, -3, 0, -5, -2, 5, -5, 2, -3, -4, 0, -4, 0, 0, 0, -2, 2], [0, 1, 1, -1, 0, 1, 1, -1, -4, -11, -11, -3, -1, 3, -3, -3, 3, -1], [-2, -2, 2, 2, 2, 2, 0, 2, 0, 1, -4, -4, 1, -2, -4, -3, 3, 0], [-5, 0, -3, -1, -3, 0, 1, 0, 1, 6, 5, 1, 0, 0, -1, -1, 0, 0], [0, -6, 4, 6, 0, 4, 2, 2, -1, -1, -1, 1, -2, 2, -4, 1, 2, 1], [-1, 0, -2, -2, -3, -3, 0, 0, 0, -1, -1, 1, -1, -1, -1, 2, -2, 0], [-7, -5, 6, 5, 5, 0, -7, 6, 2, 0, 10, -4, 8, 0, 8, -6, 2, -4], [-1, -4, 0, -1, 4, -1, 0, 0, 1, 0, 0, 2, 3, -1, 1, 0, 2, 1], [-3, 2, 3, 1, 1, 0, -3, 3, -1, 0, 7, 0, 4, 0, 4, 1, 2, 0], [6, 1, 0, 2, 0, -1, 5, 2, 0, -6, -5, 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