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

Formats: - HTML - YAML - JSON - 2026-03-17T06:02:21.924899

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, -1, 0], [0, 0, 0, 0], [20, -20, 0, 0], [0, 0, -34, 34], [0, 0, 0, 0], [0, 559, 0, 0], [0, 0, 0, -148], [0, 0, 0, 0], [-3672, 0, 0, 0], [0, 0, -454, 0], [0, 0, 0, 0], [8671, -8671, 0, 0], [0, 0, -559, 559], [0, 0, 0, 0], [0, 13424, 0, 0], [0, 0, 0, 2418], [0, 0, 0, 0], [-32461, 0, 0, 0], [0, 0, -680, 0], [0, 0, 0, 0], [-49032, 49032, 0, 0], [0, 0, -7930, 7930], [0, 0, 0, 0], [0, -46723, 0, 0], [0, 0, 0, -8671], [0, 0, 0, 0], [11180, 0, 0, 0], [0, 0, -15184, 0], [0, 0, 0, 0], [-229892, 229892, 0, 0], [0, 0, 5520, -5520], [0, 0, 0, 0], [0, -261144, 0, 0], [0, 0, 0, 19006], [0, 0, 0, 0], [-541177, 0, 0, 0], [0, 0, 32461, 0], [0, 0, 0, 0], [-543456, 543456, 0, 0], [0, 0, 34016, -34016], [0, 0, 0, 0], [0, 465112, 0, 0], [0, 0, 0, -9080], [0, 0, 0, 0], [-856440, 0, 0, 0], [0, 0, 79922, 0], [0, 0, 0, 0], [511062, -511062, 0, 0], [0, 0, 46723, -46723], [0, 0, 0, 0], [0, -173420, 0, 0], [0, 0, 0, -98748], [0, 0, 0, 0], [-1667088, 0, 0, 0], [0, 0, -82732, 0], [0, 0, 0, 0], [-1639872, 1639872, 0, 0], [0, 0, -75562, 75562], [0, 0, 0, 0], [0, 137773, 0, 0], [0, 0, 0, 229892], [0, 0, 0, 0], [2314432, 0, 0, 0], [0, 0, -294814, 0], [0, 0, 0, 0], [314041, -314041, 0, 0], [0, 0, -48360, 48360], [0, 0, 0, 0], [0, -2052648, 0, 0], [0, 0, 0, -270372], [0, 0, 0, 0], [2669537, 0, 0, 0], [0, 0, 541177, 0], [0, 0, 0, 0], [-649220, 649220, 0, 0], [0, 0, -253786, 253786], [0, 0, 0, 0], [0, -1101815, 0, 0], [0, 0, 0, 456416], [0, 0, 0, 0], [3673728, 0, 0, 0], [0, 0, -584956, 0], [0, 0, 0, 0], [8878896, -8878896, 0, 0], [0, 0, -465112, 465112], [0, 0, 0, 0], [0, 7256736, 0, 0], [0, 0, 0, -316230], [0, 0, 0, 0], [4847089, 0, 0, 0], [0, 0, -158600, 0], [0, 0, 0, 0], [8631576, -8631576, 0, 0], [0, 0, 1103674, -1103674], [0, 0, 0, 0], [0, 2979379, 0, 0], [0, 0, 0, -511062], [0, 0, 0, 0], [-934460, 0, 0, 0]], 'ap': [[0, 0, -1, 0], [0, 0, 0, 0], [0, 0, -34, 34], [0, 559, 0, 0], [0, 0, -454, 0], [8671, -8671, 0, 0], [0, 0, 0, 2418], [-32461, 0, 0, 0], [0, 0, -7930, 7930], [0, 0, -15184, 0], [-229892, 229892, 0, 0], [-541177, 0, 0, 0], [0, 0, 34016, -34016], [0, 465112, 0, 0], [0, 0, 79922, 0], [0, 0, 0, -98748], [0, 0, -75562, 75562], [0, 137773, 0, 0], [314041, -314041, 0, 0], [0, 0, 0, -270372], [2669537, 0, 0, 0], [0, -1101815, 0, 0], [0, 0, -584956, 0], [0, 0, 0, -316230], [0, 2979379, 0, 0], [0, 0, 264368, 0], [5871091, -5871091, 0, 0], [0, 0, 0, 562770], [8946938, 0, 0, 0], [0, 0, -1257334, 1257334], [19673084, 0, 0, 0], [0, 0, 824408, -824408], [0, 0, -5351446, 0], [-27798917, 27798917, 0, 0], [0, 0, -7489876, 7489876], [0, -10463219, 0, 0], [65781418, -65781418, 0, 0], [-30096547, 0, 0, 0], [0, 0, 7611374, -7611374], [0, 0, 2706080, 0], [0, 0, 0, 2933268], [2988029, 0, 0, 0], [0, 0, -3266146, 0], [157243801, -157243801, 0, 0], [0, 0, 0, -6062874], [192815381, 0, 0, 0], [127804927, -127804927, 0, 0], [0, 66565252, 0, 0], [0, 0, -14088748, 0], [255727966, -255727966, 0, 0], [0, 0, 0, 5311176], [0, 0, -17569684, 17569684], [0, -17244305, 0, 0], [0, 0, 0, -4699032], [0, 0, 7904156, -7904156], [0, 0, 19977932, 0], [0, 0, 0, -32914206], [67403531, 0, 0, 0], [0, -208092194, 0, 0], [0, 0, 24509408, 0], [-182075792, 182075792, 0, 0], [0, 0, 52377290, -52377290], [-534564160, 0, 0, 0], [0, 0, -38459902, 38459902], [0, 913257973, 0, 0], [0, 0, -39515452, 0], [0, 929744803, 0, 0], [573925099, -573925099, 0, 0], [0, 0, -105169636, 105169636], [0, -728528255, 0, 0], [0, 0, 56475620, 0], [0, 0, 0, 115455378], [0, 1315505755, 0, 0], [1077252097, -1077252097, 0, 0], [773953895, 0, 0, 0], [0, 0, 122243024, -122243024], [0, 0, 104536562, 0], [95219462, 0, 0, 0], [0, 0, -138867724, 138867724], [-2387241545, 2387241545, 0, 0], [0, 0, 221833742, -221833742], [0, 1209376207, 0, 0], [0, 0, 0, 276437862], [-1793022478, 0, 0, 0], [0, 310244356, 0, 0], [0, 0, 58952660, 0], [0, 0, 0, -83930610], [0, -3900560534, 0, 0], [0, 0, -202881826, 0], [-1443486785, 1443486785, 0, 0], [0, 0, 0, -196006434], [0, 0, 67437596, 0], [-215479303, 0, 0, 0], [0, 0, -111341230, 111341230], [3244798336, -3244798336, 0, 0], [0, 0, 0, -164822970], [0, 0, -21886138, 21886138], [0, 0, 0, 403713102], [1773936623, 0, 0, 0], [-3745595815, 0, 0, 0], [0, 2143524619, 0, 0], [0, 0, 0, -341044014], [0, 0, -130253968, 130253968], [0, 0, -106913170, 0], [1857650125, -1857650125, 0, 0], [3260561915, 0, 0, 0], [0, 0, -817694314, 0], [0, 0, 0, 447811452], [0, 0, -114972208, 114972208], [0, -7189324730, 0, 0], [373407223, -373407223, 0, 0], [-2577605173, 0, 0, 0], [0, 0, 826168670, -826168670], [0, 7912643869, 0, 0], [1123263947, 0, 0, 0], [0, 0, -443971996, 0], [282325576, -282325576, 0, 0], [0, 0, 0, 1058262192], [0, 0, 149358404, -149358404], [0, 0, -789106396, 0], [823211077, -823211077, 0, 0], [0, -1467214235, 0, 0], [0, 0, 335986586, 0], [0, 0, 0, -1453423416], [0, -12628046600, 0, 0], [0, 0, 0, 1467952434], [0, 17599822903, 0, 0], [0, 0, 0, 980261412], [0, -736506836, 0, 0], [-1654038698, 1654038698, 0, 0], [15633282080, 0, 0, 0], [0, 0, -1107196330, 1107196330], [-11216282063, 11216282063, 0, 0], [-17072186911, 0, 0, 0], [0, 0, -260544814, 260544814], [8213379889, -8213379889, 0, 0], [0, 0, 0, 975116796], [7908055285, -7908055285, 0, 0], [0, 0, -1317090424, 1317090424], [0, 0, 0, 928772676], [29356546232, 0, 0, 0], [0, 0, 140572778, 0], [-22981853867, 22981853867, 0, 0], [0, 0, 0, -1215029442], [-16324899307, 0, 0, 0], [0, 0, 1122501500, 0], [0, 1227015361, 0, 0], [0, 0, 2145160316, 0], [-11132525417, 11132525417, 0, 0], [0, 0, 0, -1036807650], [4318857985, -4318857985, 0, 0], [0, 0, 0, -2398147986], [8754210101, 0, 0, 0], [0, 0, -69125212, 69125212], [0, -20297539511, 0, 0], [0, 0, -2806081720, 0], [-20738350348, 0, 0, 0], [0, 0, 794987564, 0], [-47888367973, 0, 0, 0], [0, 0, -2444470390, 2444470390], [0, 0, 3964031846, 0], [0, 0, 0, -1675026366], [9305799529, -9305799529, 0, 0], [0, 0, 0, -1963685646], [0, 0, -806213284, 806213284], [0, 0, 3088356638, 0], [-2264487307, 0, 0, 0], [0, -9293254766, 0, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 27021735337394257, 'hecke_ring_character_values': [[2, [-1, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 18, 1, 18], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 2, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 6, 0, 6], [0, 12, 0, -6]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'id': 10110, 'label': '81.8.c.g', 'level': 81, 'maxp': 997, 'weight': 8}