Database - hgm_families

Formats: - HTML - YAML - JSON - 2026-10-28T14:30:41.493154

Query: /api/hgm_families/?_offset=0

Table hgm_families

Families of hypergeometric motives

Column	Type	Example
A	jsonb	[10, 8, 2]
A2	jsonb	[8, 2, 2, 2, 2, 2]
A2rev	jsonb	[4, 4, 4, 1, 1, 1]
A3	jsonb	[1, 1]
A3rev	jsonb	[3]
A5	jsonb	[5]
A5rev	jsonb	[1, 1, 1, 1]
A7	jsonb	[]
A7rev	jsonb	[]
Arev	jsonb	[4, 4, 4, 3, 1]
Au2	jsonb	[5]
Au2rev	jsonb	[3, 1, 1]
Au3	jsonb	[10, 8, 2]
Au3rev	jsonb	[4, 4, 4, 1, 1, 1]
Au5	jsonb	[8, 2, 2, 2, 2, 2]
Au5rev	jsonb	[4, 4, 4, 3, 1]
Au7	jsonb	[10, 8, 2]
Au7rev	jsonb	[4, 4, 4, 3, 1]
B	jsonb	[4, 4, 4, 3, 1]
B2	jsonb	[4, 4, 4, 1, 1, 1]
B2rev	jsonb	[8, 2, 2, 2, 2, 2]
B3	jsonb	[3]
B3rev	jsonb	[1, 1]
B5	jsonb	[1, 1, 1, 1]
B5rev	jsonb	[5]
B7	jsonb	[]
B7rev	jsonb	[]
Brev	jsonb	[10, 8, 2]
Bu2	jsonb	[3, 1, 1]
Bu2rev	jsonb	[5]
Bu3	jsonb	[4, 4, 4, 1, 1, 1]
Bu3rev	jsonb	[10, 8, 2]
Bu5	jsonb	[4, 4, 4, 3, 1]
Bu5rev	jsonb	[8, 2, 2, 2, 2, 2]
Bu7	jsonb	[4, 4, 4, 3, 1]
Bu7rev	jsonb	[10, 8, 2]
C2	jsonb	[]
C3	jsonb	[1, 1, 1, 1, 1, 1, 1]
C5	jsonb	[1, 1, 1, 1, 1]
C7	jsonb	[1, 1, 1, 1, 1, 1, 1, 1, 1]
Cu2	jsonb	[1, 1, 1, 1, 1]
Cu3	jsonb	[]
Cu5	jsonb	[]
Cu7	jsonb	[]
bezout	jsonb	[[0, 3, -1, 2, -4, 1, -3, 0, -2], [3, -1, 2, -4, 1, -3, 0, -2, 0], [-1, 2, -4, -2, -6, 0, -2, 0, -3]...
degree	smallint	9
det	jsonb	[5, '(1-t)']
famhodge	jsonb	[3, 3, 3]
h0	integer[]	[[0, 1, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0], [-3, 0, 0, ...
h1	integer[]	[[1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 3], [0, 0, 1, 0, 0, 0, 0, 0, -1], [0, 0, 0, 1...
hinf	integer[]	[[0, 0, 0, 0, 0, 0, 0, 0, -1], [1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0...
imprim	smallint	1
label	text	'A10.8.2_B4.4.4.3.1'
mono	jsonb	[[2, [1006632960, 'index', 'C_{2}^17.C_{2}.C_{2}^5.S_{5}', [[5], [3, 1, 1], [1, 1, 1, 1, 1], 1]]], [...
snf	jsonb	[1, 1, 1, 1, 2, 2, 4, 4, 32]
variety_dim	smallint	8
weight	smallint	2

{'A': [10, 10, 2, 2], 'A2': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'A2rev': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'A3': [1, 1], 'A3rev': [3], 'A5': [5, 5], 'A5rev': [1, 1, 1, 1, 1, 1, 1, 1], 'A7': [], 'A7rev': [], 'Arev': [3, 1, 1, 1, 1, 1, 1, 1, 1], 'Au2': [5, 5], 'Au2rev': [3, 1, 1, 1, 1, 1, 1], 'Au3': [10, 10, 2, 2], 'Au3rev': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'Au5': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'Au5rev': [3, 1, 1, 1, 1, 1, 1, 1, 1], 'Au7': [10, 10, 2, 2], 'Au7rev': [3, 1, 1, 1, 1, 1, 1, 1, 1], 'B': [3, 1, 1, 1, 1, 1, 1, 1, 1], 'B2': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'B2rev': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'B3': [3], 'B3rev': [1, 1], 'B5': [1, 1, 1, 1, 1, 1, 1, 1], 'B5rev': [5, 5], 'B7': [], 'B7rev': [], 'Brev': [10, 10, 2, 2], 'Bu2': [3, 1, 1, 1, 1, 1, 1], 'Bu2rev': [5, 5], 'Bu3': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'Bu3rev': [10, 10, 2, 2], 'Bu5': [3, 1, 1, 1, 1, 1, 1, 1, 1], 'Bu5rev': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'Bu7': [3, 1, 1, 1, 1, 1, 1, 1, 1], 'Bu7rev': [10, 10, 2, 2], 'C2': [], 'C3': [1, 1, 1, 1, 1, 1, 1, 1], 'C5': [1, 1], 'C7': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'Cu2': [1, 1], 'Cu3': [], 'Cu5': [], 'Cu7': [], 'bezout': [[7, -21, 36, -42, 44, -42, 36, -21, 7, 0], [-21, 36, -42, 44, -56, 36, -21, 7, 0, -7], [36, -42, 44, -56, 78, -21, 7, 0, -7, 21], [-42, 44, -56, 78, -93, 7, 0, -7, 21, -36], [44, -56, 78, -93, 91, 0, -7, 21, -36, 42], [-42, 36, -21, 7, 0, -91, 93, -78, 56, -44], [36, -21, 7, 0, -7, 93, -78, 56, -44, 42], [-21, 7, 0, -7, 21, -78, 56, -44, 42, -36], [7, 0, -7, 21, -36, 56, -44, 42, -36, 21], [0, -7, 21, -36, 42, -44, 42, -36, 21, -7]], 'degree': 10, 'det': [1, ''], 'famhodge': [1, 1, 1, 2, 2, 1, 1, 1], 'h0': [[7, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-21, 0, 1, 0, 0, 0, 0, 0, 0, 0], [36, 0, 0, 1, 0, 0, 0, 0, 0, 0], [-42, 0, 0, 0, 1, 0, 0, 0, 0, 0], [42, 0, 0, 0, 0, 1, 0, 0, 0, 0], [-42, 0, 0, 0, 0, 0, 1, 0, 0, 0], [36, 0, 0, 0, 0, 0, 0, 1, 0, 0], [-21, 0, 0, 0, 0, 0, 0, 0, 1, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'h1': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 1, 0, 0, 0, 0, 0, 0, 0, -21], [0, 0, 1, 0, 0, 0, 0, 0, 0, 36], [0, 0, 0, 1, 0, 0, 0, 0, 0, -42], [0, 0, 0, 0, 1, 0, 0, 0, 0, 44], [0, 0, 0, 0, 0, 1, 0, 0, 0, -42], [0, 0, 0, 0, 0, 0, 1, 0, 0, 36], [0, 0, 0, 0, 0, 0, 0, 1, 0, -21], [0, 0, 0, 0, 0, 0, 0, 0, 1, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], 'hinf': [[0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, -2], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0]], 'id': 80, 'imprim': 1, 'label': 'A10.10.2.2_B3.1.1.1.1.1.1.1.1', 'mono': [[2, [45660871065600, 'index', 'C_{2}^16.C_{2}.D(4,2).C_{2}', [[5, 5], [3, 1, 1, 1, 1, 1, 1], [1, 1], 1]]], [3, 0], [5, 0], [7, 0]], 'snf': [1, 1, 1, 1, 1, 1, 1, 1, 256, 256], 'variety_dim': 9, 'weight': 7}