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

Formats: - HTML - YAML - JSON - 2026-03-12T00:52:10.108171

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, -1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, -1, 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], [-1, -1, -1, 1, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, -1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [-3, -2, -1, 2, 3, 1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, -1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, -2, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, -1, -1, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-3, -2, 1, 2, 3, 2, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, -4, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, -1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -1, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, -3, -2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, -3, 0, 0, 3, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-8, 0, 0, 3, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0], [-4, -3, 0, 3, 4, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 5, 1, -5, -4, -2, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -1, 0, -4, -2, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 4, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 2, -2, 4, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 0, 0, -1, -1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -2, 2, 2, 1, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, 1, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 0, -2, 0, 0, 0, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0], [0, -4, -3, 4, 0, 2, -3, 2], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 2, -4, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 3, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-7, 0, -4, 3, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 1, 2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 3, -2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [13, 4, -1, -4, -13, -3, -1, -3], [0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 1, -5, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [4, -1, -2, 1, -4, 1, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, -1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, -5, -2, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [4, 1, 3, -4, 2, 3, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, -3, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, 2, -1, 4, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0]], 'ap': [[0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, 0, 0, 0], [0, -1, 0, 0, 0, 0, -1, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 1, 0, -1, 1, 1, 1], [0, 1, 0, 0, -1, 0, 2, 0], [1, 1, 0, -2, -1, -1, 0, 0], [1, 1, 1, -1, -1, -1, 1, -1], [4, 0, 0, 0, -4, -1, 0, -1], [-6, 0, -1, 0, 0, 0, 0, 1], [-3, 0, 0, 0, 0, 0, 0, -1], [0, 3, 0, 0, -3, -2, -2, 0], [0, -3, 0, 0, 3, 1, -1, 0], [-4, -3, 0, 3, 4, 1, 0, 1], [4, 0, -1, 0, -4, -2, -1, -2], [0, -2, 0, 0, -1, -1, 1, 0], [-1, -2, 2, 2, 1, 0, 2, 0], [0, -4, -3, 4, 0, 2, -3, 2], [0, 1, 0, 0, 3, 1, -1, 0], [0, 2, 0, 0, -3, 0, 0, 0], [0, 2, 0, 0, 1, 2, -2, 0], [2, 0, 2, 3, 0, 0, 0, 0], [4, -1, -2, 1, -4, 1, -2, 1], [0, 2, 0, 0, -3, -1, -1, 0], [-3, 1, 2, -1, 3, -2, 2, -2], [3, 0, 1, -3, 0, 0, 0, 0], [-6, 0, 1, 1, 0, 0, 0, -1], [0, -1, 0, 0, 2, 0, 1, 0], [-2, 0, 4, 3, 0, 0, 0, 0], [6, 4, -3, -4, -6, 0, -3, 0], [0, 5, 0, 0, 1, -3, 1, 0], [-11, -4, -2, 4, 11, -2, -2, -2], [-7, -3, -4, 3, 7, -2, -4, -2], [0, 7, 0, 0, -6, 0, 1, 0], [-2, 0, -1, -3, 0, 0, 0, -3], [0, 0, 0, 0, 2, 0, 5, 0], [3, 0, 7, -2, 0, 0, 0, -2], [7, 6, -2, -6, -7, -6, -2, -6], [0, -2, 0, 0, -9, 3, 1, 0], [-10, 0, 1, 1, 0, 0, 0, 3], [-1, 1, -1, -1, 1, -3, -1, -3], [12, 0, -1, 0, 0, 0, 0, -1], [0, 5, 0, 0, 0, -4, -1, 0], [-3, 0, 3, 4, 0, 0, 0, -2], [0, -4, 1, 4, 0, 6, 1, 6], [0, -8, 0, 0, 8, 1, 4, 0], [0, 2, 0, 0, -5, 1, 3, 0], [-3, 0, 2, 8, 0, 0, 0, 7], [11, 0, 4, -6, 0, 0, 0, 1], [0, 0, 0, 0, 3, 1, -5, 0], [-3, 0, 2, -5, 0, 0, 0, 3], [-2, -6, -6, 6, 2, 3, -6, 3], [-11, -2, -1, 2, 11, -3, -1, -3], [12, 2, 8, -2, -12, 3, 8, 3], [0, -5, 0, 0, -2, -1, -4, 0], [0, -1, 0, 0, 16, 2, -3, 0], [0, 1, 0, 0, 15, -1, 1, 0], [0, 0, -4, -3, 0, 0, 0, -2], [-6, -7, -4, 7, 6, -3, -4, -3], [0, -5, 0, 0, 7, -2, -4, 0], [-12, 0, -1, 5, 0, 0, 0, 1], [0, 0, 0, 0, 13, -1, -1, 0], [-9, 0, 2, 2, 0, 0, 0, 1], [13, -3, -2, 3, -13, -2, -2, -2], [2, 5, 6, -5, -2, -1, 6, -1], [3, 0, -4, 4, 0, 0, 0, -1], [0, 2, 0, 0, -20, -2, -3, 0], [0, -3, 0, 0, 15, 0, 6, 0], [2, 0, -5, -7, 0, 0, 0, 3], [11, 0, 2, -1, 0, 0, 0, -1], [0, -2, 0, 0, 13, 1, 1, 0], [-11, 8, 3, -8, 11, 1, 3, 1], [-5, 0, -5, 4, 0, 0, 0, 0], [-3, 0, 1, -12, 0, 0, 0, -6], [0, 8, 0, 0, 2, -2, 7, 0], [3, 10, -1, -10, -3, 1, -1, 1], [0, -5, 0, 0, -6, 4, -3, 0], [0, 2, 0, 0, -22, 0, -3, 0], [-8, -3, 0, 3, 8, 3, 0, 3], [0, 0, -2, 11, 0, 0, 0, 6], [0, 5, 0, 0, 2, -1, 0, 0], [22, 6, 0, -6, -22, -1, 0, -1], [-3, 10, 2, -10, 3, 2, 2, 2], [0, 11, 0, 0, -20, -2, -3, 0], [-5, -2, 9, 2, 5, 1, 9, 1], [0, 0, -6, -4, 0, 0, 0, -4], [11, 0, -2, 0, 0, 0, 0, -5], [0, 5, 0, 0, 12, -2, -3, 0], [15, 0, 2, 6, 0, 0, 0, 1], [3, 0, 3, 6, 0, 0, 0, -6], [9, 6, -6, -6, -9, 0, -6, 0], [-11, 0, -3, 3, 0, 0, 0, -2], [0, -6, 0, 0, -1, -2, -4, 0], [0, 1, 0, 0, -21, -2, 0, 0], [4, -6, 2, 6, -4, -5, 2, -5], [-4, 5, -7, -5, 4, 4, -7, 4], [-16, 0, 3, 8, 0, 0, 0, -3], [21, 3, -3, -3, -21, -5, -3, -5], [11, -11, -5, 11, -11, 5, -5, 5], [-5, -8, 8, 8, 5, 4, 8, 4], [1, 6, -1, -6, -1, 7, -1, 7], [-8, 0, 0, 6, 0, 0, 0, -4], [5, 0, 2, -17, 0, 0, 0, 1], [4, 0, 9, 2, 0, 0, 0, -3], [-11, 0, 2, -7, 0, 0, 0, -7], [0, 11, 0, 0, -3, -7, 1, 0], [-4, -3, -3, 3, 4, 4, -3, 4], [10, -4, -4, 4, -10, -1, -4, -1], [-2, 0, 5, -8, 0, 0, 0, 1], [2, 0, 3, 4, 0, 0, 0, 1], [0, 13, 0, 0, 4, -1, 6, 0], [15, 16, 4, -16, -15, 6, 4, 6], [-7, 0, -10, 0, 0, 0, 0, -1], [-3, 9, -2, -9, 3, 8, -2, 8], [0, -5, 0, 0, 0, 4, -1, 0], [0, -6, 0, 0, 14, -4, 1, 0], [-15, 0, -5, 4, 0, 0, 0, -4], [4, 0, 0, -18, 0, 0, 0, 2], [19, -8, 3, 8, -19, 7, 3, 7], [-8, 4, 11, -4, 8, -2, 11, -2], [-24, 0, 4, 16, 0, 0, 0, -2], [20, 0, -3, -13, 0, 0, 0, -9], [-1, 0, -3, -6, 0, 0, 0, 4], [1, 0, 1, -4, 0, 0, 0, -2], [0, -8, 0, 0, 8, 0, 11, 0], [-32, -6, -3, 6, 32, 0, -3, 0], [0, -16, 0, 0, 1, 11, 3, 0], [0, -15, 0, 0, 3, 4, -10, 0], [-16, 0, -2, 11, 0, 0, 0, 0], [0, -6, 0, 0, 15, -5, -7, 0], [0, -10, 0, 0, 16, -4, 3, 0], [11, -10, 0, 10, -11, 0, 0, 0], [0, -5, 0, 0, 11, 1, -5, 0], [-15, 0, 1, 7, 0, 0, 0, 8], [5, -7, -12, 7, -5, 0, -12, 0], [-6, 8, 2, -8, 6, -9, 2, -9], [6, 0, -4, 15, 0, 0, 0, 10], [2, 0, 2, -11, 0, 0, 0, -2], [20, 0, 1, -8, 0, 0, 0, 3], [3, -4, 0, 4, -3, -4, 0, -4], [17, -3, 6, 3, -17, 10, 6, 10], [10, 1, 2, -1, -10, -11, 2, -11], [33, 8, 7, -8, -33, 5, 7, 5], [20, 0, 9, -6, 0, 0, 0, 3], [0, -16, 0, 0, 2, -2, -5, 0], [0, -8, 0, 0, 4, 1, -4, 0], [0, 2, 0, 0, -32, 2, -3, 0], [6, -4, 5, 4, -6, 4, 5, 4], [4, 0, -12, 14, 0, 0, 0, 4], [0, 0, 0, 0, -11, -9, 3, 0], [5, 0, -10, 5, 0, 0, 0, 5], [22, 11, -10, -11, -22, -3, -10, -3], [23, -6, 0, 6, -23, 4, 0, 4], [0, 8, 0, 0, -9, 1, 7, 0], [-10, 0, 4, 7, 0, 0, 0, 6], [19, 0, -5, -9, 0, 0, 0, 2], [0, 3, 0, 0, 2, -1, -12, 0], [11, -1, 8, 1, -11, 2, 8, 2], [22, -12, -5, 12, -22, 0, -5, 0], [0, -13, 0, 0, 20, 4, 7, 0], [0, -1, 0, 0, 0, -2, -15, 0], [0, -11, 0, 0, -2, -4, 9, 0], [0, 4, 0, 0, 2, 4, -3, 0], [-21, 0, 6, -17, 0, 0, 0, -5], [0, 17, 0, 0, 14, -2, 7, 0], [0, 0, 0, 0, -9, 2, -12, 0], [20, 14, -5, -14, -20, -2, -5, -2]], 'char_orbit_index': 10, 'field_poly': [16, 20, 45, -9, 31, 0, 9, -2, 1], 'hecke_orbit_code': 4504218136216084, 'hecke_ring_character_values': [[267, [1, 0, 0, 0, 0, 0, 0, 0]], [381, [1, 0, 0, 0, 0, 0, 0, 0]], [477, [-1, 0, 0, 0, 1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 11069, 11069, 44276, 44276, 44276, 11069], '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], [-3, 1, -1, -1, 3, 0, -1, 0], [-3, 0, -2, -6, 0, 0, 0, -1], [0, -12, 0, 0, -17, 2, 9, 0], [34, -45, 23, 45, -34, 9, 23, 9], [126, 0, 77, 116, 0, 0, 0, 23], [0, 373, 0, 0, 325, -77, -216, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-24659, -1232, -2420, 2809, -1166, -682, 389, -110], [-6068, -1736, -3410, -7614, -1643, -961, 45, -155], [20880, -54625, 44109, -40455, 3844, -13833, 3654, -1517], [-59760, 286115, -126243, 115785, -47644, 39591, -10458, 2815], [52720, -107727, 111371, -102145, 22768, -34927, 9226, -3491], [52519, 12880, 25300, 28997, 12190, 7130, -1048, 1150]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'id': 40488, 'label': '532.2.j.b', 'level': 532, 'maxp': 997, 'weight': 2}