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

Formats: - HTML - YAML - JSON - 2026-03-02T06:42:17.752908

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, 1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [-2, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, -1, 0, 0, -1, 0], [0, 0, -1, 0, 0, -2, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, -1, 1], [0, 0, 1, 0, 0, -1, 1, -2], [0, 0, -1, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 1, -2], [0, -1, 0, -2, 0, 0, 3, -1], [0, 0, 0, 0, 0, 0, 1, -2], [-4, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, -4, 0, 0, 2, 0], [0, 2, 0, 1, 0, 0, -1, -1], [0, 2, 0, 1, 0, 0, -2, 2], [-2, -2, 0, -1, 1, 0, -1, 1], [0, 0, 0, 0, 0, 0, -1, 2], [4, 0, 0, 0, -1, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, -1, 0, 0, -1, 1], [0, 0, -3, 0, 0, -3, 0, 0], [0, -3, 0, -1, 0, 0, 0, 4], [0, 0, -4, 0, 0, -4, 0, 0], [0, -2, 0, -1, 0, 0, -1, 1], [0, 0, -2, 0, 0, -2, 0, 0], [0, 0, -3, 0, 0, 2, 0, 0], [-1, 0, 0, 0, -2, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, -1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [0, -4, 0, -2, 0, 0, 6, 2], [0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 1, 0, 0, 1, -3], [-2, 0, 0, 0, -4, 0, 0, 0], [0, 3, 0, 3, 0, 0, 2, -4], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -3, -3, 0, -2, 1, 1], [0, 0, 0, 0, 0, 0, 3, 0], [0, 2, 0, 1, 0, 0, 1, -1], [0, 4, 0, 2, 0, 0, -1, -2], [0, 0, 5, 0, 0, 2, 0, 0], [2, 0, 3, 0, 0, -3, 0, 0], [0, 0, -3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, 0, 0, 1, 1], [0, 0, 0, -6, 0, 0, 3, 0], [-6, 0, 0, 0, -3, 0, 0, 0], [0, 0, -2, 2, 0, -2, -1, 0], [0, 3, 0, 0, 0, 0, -1, 3], [0, 8, 0, 4, 0, 0, -2, -4], [-8, 0, 0, 0, -4, 0, 0, 0], [0, -8, 0, -4, 0, 0, 2, 4], [0, 0, 0, -3, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 3, -6], [-4, 0, 0, 0, -2, 0, 0, 0], [0, 0, 0, -3, 0, 0, -3, 0], [4, 0, 0, 0, -3, 0, 0, 0], [0, 0, -2, 0, 0, -2, 0, 0], [0, 0, 1, 3, 0, 4, -3, 3], [2, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -3, 0], [2, 0, -3, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, -5, 10], [0, 0, -3, 0, 0, -6, 0, 0], [0, 0, 0, 0, 0, 0, 4, -8], [0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 2, 0, 0, -6, 10], [1, 0, 3, -3, 2, 3, 4, 0], [0, 0, 0, 3, 0, 0, -3, 3], [0, 0, 0, 0, 0, 0, 3, 0], [0, -2, 0, -1, 0, 0, -3, 1], [9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 8, 0, 0], [-6, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 4, 0, 0, -5, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [12, 0, 0, 0, 0, 0, 0, 0], [-4, -2, 0, -1, -3, 0, 5, 1], [0, 0, 0, 0, 0, 0, -2, 0], [0, 0, 0, 3, 0, 0, -3, 3], [1, 0, 3, 0, 2, 3, 0, 0], [0, 0, 0, 3, 0, 0, -1, -1], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 1, -5], [0, 0, -4, 0, 0, 4, 0, 0], [4, 0, 0, 0, 5, 0, 0, 0], [0, 0, 6, 0, 0, -6, 0, 0], [-6, 0, 2, 0, 3, 0, 0, 0], [0, 0, 3, 0, 0, -3, 3, -6], [0, 0, 0, 0, -3, 0, 0, 0]], 'ap': [[0, 0, 1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, -1, 0, 0, -1, 0], [0, 0, 1, 0, 0, -1, 1, -2], [0, 0, 0, 0, 0, 0, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -4, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, -1, 2], [0, 0, -4, 0, 0, -4, 0, 0], [0, 0, -2, 0, 0, -2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, -4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 2, 0, 0, -1, -2], [0, 0, 0, -6, 0, 0, 3, 0], [0, -8, 0, -4, 0, 0, 2, 4], [0, 0, 0, 0, 0, 0, 3, -6], [2, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, -5, 10], [0, 0, 0, 0, 0, 0, 4, -8], [0, 0, 0, 0, 0, 0, 3, 0], [-6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -2, 0], [0, 0, 6, 0, 0, -6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, -2, 0, 0], [0, 0, -2, 0, 0, 2, 0, 0], [0, 4, 0, 2, 0, 0, -1, -2], [0, 0, 0, 12, 0, 0, -6, 0], [0, 0, 0, 0, 0, 0, -15, 0], [-18, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, -4, 0], [0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, -9, 0], [0, 0, 6, 0, 0, -6, 0, 0], [4, 0, 0, 0, 8, 0, 0, 0], [12, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, -12], [0, 0, -6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, -5, 10], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 14, 0, 0, 14, 0, 0], [0, 0, 0, 0, 0, 0, -6, 0], [0, 0, -10, 0, 0, -10, 0, 0], [12, 0, 0, 0, 0, 0, 0, 0], [0, 0, -6, 0, 0, 6, 0, 0], [0, 0, 12, 0, 0, 12, 0, 0], [0, 0, -4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, -10, 20], [0, -16, 0, -8, 0, 0, 4, 8], [0, 0, 0, 0, 0, 0, -10, 0], [0, 0, -4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, -7, 0], [0, 0, 0, 10, 0, 0, -5, 0], [0, -4, 0, -2, 0, 0, 1, 2], [0, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, -16, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 16, 0, 0, -8, 0], [0, -12, 0, -6, 0, 0, 3, 6], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -18, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -8, 0, -4, 0, 0, 2, 4], [0, 0, 8, 0, 0, -8, 0, 0], [0, 0, 0, 0, 0, 0, 5, -10], [0, 0, 0, 0, 0, 0, -16, 0], [0, 0, 8, 0, 0, -8, 0, 0], [0, 0, 10, 0, 0, 10, 0, 0], [0, 4, 0, 2, 0, 0, -1, -2], [-4, 0, 0, 0, -8, 0, 0, 0], [0, -12, 0, -6, 0, 0, 3, 6], [0, 0, 0, 18, 0, 0, -9, 0], [0, 0, -6, 0, 0, 6, 0, 0], [0, 0, 0, -12, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 16, 0, 8, 0, 0, -4, -8], [-10, 0, 0, 0, 0, 0, 0, 0], [0, 0, -8, 0, 0, 8, 0, 0], [0, 0, -12, 0, 0, 12, 0, 0], [0, 0, 0, 22, 0, 0, -11, 0], [0, 0, 0, 0, 0, 0, 16, -32], [0, 0, 0, -24, 0, 0, 12, 0], [0, -8, 0, -4, 0, 0, 2, 4], [-8, 0, 0, 0, -16, 0, 0, 0], [-2, 0, 0, 0, -4, 0, 0, 0], [0, 8, 0, 4, 0, 0, -2, -4], [36, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 12, 0, 0, 0], [0, 0, 2, 0, 0, -2, 0, 0], [-8, 0, 0, 0, -16, 0, 0, 0], [24, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 17, 0], [0, 0, 0, 0, 0, 0, 14, 0], [0, 0, 0, -4, 0, 0, 2, 0], [0, -28, 0, -14, 0, 0, 7, 14], [0, 0, 0, 0, 0, 0, -12, 0], [0, 0, 4, 0, 0, 4, 0, 0], [-36, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 18, 0, 0, -18, 0, 0], [0, -8, 0, -4, 0, 0, 2, 4], [8, 0, 0, 0, 16, 0, 0, 0], [0, 0, 0, 0, 0, 0, -11, 22], [0, 0, 0, 0, 0, 0, 8, -16], [0, 0, 0, -2, 0, 0, 1, 0], [0, 20, 0, 10, 0, 0, -5, -10], [0, 0, 0, 12, 0, 0, -6, 0], [0, 0, -16, 0, 0, -16, 0, 0], [6, 0, 0, 0, 12, 0, 0, 0], [0, 0, 0, -12, 0, 0, 6, 0], [0, 0, -20, 0, 0, -20, 0, 0], [0, -4, 0, -2, 0, 0, 1, 2], [0, 0, 0, -6, 0, 0, 3, 0], [0, 0, 22, 0, 0, -22, 0, 0], [0, 0, -6, 0, 0, 6, 0, 0], [0, -24, 0, -12, 0, 0, 6, 12], [-8, 0, 0, 0, -16, 0, 0, 0], [0, 0, 0, 0, 0, 0, -4, 8], [0, 0, -12, 0, 0, -12, 0, 0], [0, 0, 12, 0, 0, 12, 0, 0], [-10, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 2, 0, 0, -1, -2], [0, 0, -6, 0, 0, -6, 0, 0], [0, 0, 0, 0, 0, 0, -9, 18], [0, 0, 0, 0, 0, 0, -18, 0], [0, 0, -20, 0, 0, 20, 0, 0], [-10, 0, 0, 0, -20, 0, 0, 0], [22, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 10, -20], [0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, -20, 0, 0, 10, 0], [0, 0, 0, 0, 0, 0, -35, 0], [0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, -2, 0], [0, 0, 28, 0, 0, 28, 0, 0], [-10, 0, 0, 0, -20, 0, 0, 0], [0, 0, 8, 0, 0, -8, 0, 0], [0, 0, 6, 0, 0, -6, 0, 0], [0, 28, 0, 14, 0, 0, -7, -14], [0, 0, 0, 0, 0, 0, 9, -18], [2, 0, 0, 0, 4, 0, 0, 0], [0, 0, -26, 0, 0, -26, 0, 0], [0, 0, 0, 0, 0, 0, -21, 42], [0, 36, 0, 18, 0, 0, -9, -18], [0, 0, 0, 0, 0, 0, 4, 0], [2, 0, 0, 0, 4, 0, 0, 0], [48, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, 0, -12, 0, 0, 0], [0, 0, 0, 0, 0, 0, 15, -30], [0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, -32, 0], [0, 0, 0, 0, 0, 0, 18, -36], [4, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, -16], [0, 0, -20, 0, 0, -20, 0, 0], [0, 0, 0, 0, 0, 0, -3, 0], [0, -32, 0, -16, 0, 0, 8, 16], [0, 0, 0, -12, 0, 0, 6, 0], [0, 36, 0, 18, 0, 0, -9, -18], [-10, 0, 0, 0, -20, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, -6]], 'char_orbit_index': 14, 'field_poly': [36, 0, -12, 0, 13, 0, 8, 0, 1], 'hecke_orbit_code': 4504493014123420, 'hecke_ring_character_values': [[463, [-1, 0, 0, 0, 0, 0, 0, 0]], [617, [-1, 0, 0, 0, 0, 0, 0, 0]], [661, [-1, 0, 0, 0, 0, 0, 0, 0]], [673, [-1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 24, 144, 3, 12, 72, 144], '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], [-2, 0, 2, 0, 0, 1, 0, 0], [0, -3, 0, 2, 0, 0, 1, 0], [11, 0, -8, 0, 3, -4, 0, 0], [0, 15, 0, -5, 0, 0, -13, 3], [-50, 0, 38, 0, -18, 7, 0, 0], [0, -57, 0, 20, 0, 0, 85, -42]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [18, 0, 17, 0, 6, 0, 1, 0], [0, 138, 0, 97, 0, 14, 0, 1], [-3, 0, 4, 0, 1, 0, 0, 0], [6, 0, -5, 0, -6, 0, -1, 0], [0, 78, 0, -25, 0, -14, 0, -1], [0, 186, 0, -55, 0, -50, 0, -7]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 59586, 'label': '924.2.n.b', 'level': 924, 'maxp': 997, 'weight': 2}