Database - hgm_families

Formats: - HTML - YAML - JSON - 2026-10-28T14:30:49.904461

Query: /api/hgm_families/?_offset=0

Table hgm_families

Families of hypergeometric motives

Column	Type	Example
A	jsonb	[12, 12, 4]
A2	jsonb	[4, 4, 4, 4, 4]
A2rev	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
A3	jsonb	[3, 3, 3, 3]
A3rev	jsonb	[1, 1, 1, 1, 1, 1, 1, 1]
A5	jsonb	[]
A5rev	jsonb	[]
A7	jsonb	[]
A7rev	jsonb	[]
Arev	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
Au2	jsonb	[3, 3, 3, 3]
Au2rev	jsonb	[1, 1, 1, 1, 1, 1, 1, 1]
Au3	jsonb	[4, 4, 4, 4, 4]
Au3rev	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
Au5	jsonb	[12, 12, 4]
Au5rev	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
Au7	jsonb	[12, 12, 4]
Au7rev	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
B	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
B2	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
B2rev	jsonb	[4, 4, 4, 4, 4]
B3	jsonb	[1, 1, 1, 1, 1, 1, 1, 1]
B3rev	jsonb	[3, 3, 3, 3]
B5	jsonb	[]
B5rev	jsonb	[]
B7	jsonb	[]
B7rev	jsonb	[]
Brev	jsonb	[12, 12, 4]
Bu2	jsonb	[1, 1, 1, 1, 1, 1, 1, 1]
Bu2rev	jsonb	[3, 3, 3, 3]
Bu3	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
Bu3rev	jsonb	[4, 4, 4, 4, 4]
Bu5	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
Bu5rev	jsonb	[12, 12, 4]
Bu7	jsonb	[2, 2, 2, 1, 1, 1, 1, 1, 1, 1]
Bu7rev	jsonb	[12, 12, 4]
C2	jsonb	[]
C3	jsonb	[1, 1]
C5	jsonb	[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
C7	jsonb	[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
Cu2	jsonb	[1, 1]
Cu3	jsonb	[]
Cu5	jsonb	[]
Cu7	jsonb	[]
bezout	jsonb	[[-4, 4, 8, -15, 0, 13, -8, -2, 4, -2], [4, 4, -15, 4, 13, -4, -2, 0, -2, 4], [8, -15, -4, 24, -4, -...
degree	smallint	10
det	jsonb	[1, 't(t-1)']
famhodge	jsonb	[1, 1, 2, 2, 2, 1, 1]
h0	integer[]	[[4, 1, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0, 0, 0, 0], [-8, 0, 0, 1, 0, 0, 0, 0, 0, 0], [...
h1	integer[]	[[1, 0, 0, 0, 0, 0, 0, 0, 0, -4], [0, 1, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 1, 0, 0, 0, 0, 0, 0, 8], [0...
hinf	integer[]	[[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, 1], [0...
imprim	smallint	1
label	text	'A12.12.4_B2.2.2.1.1.1.1.1.1.1'
mono	jsonb	[[2, [1327104, 'index', 'C_{2}^8.C_{3}^4.C_{2}wrC_{4}', [[3, 3, 3, 3], [1, 1, 1, 1, 1, 1, 1, 1], [1,...
snf	jsonb	[1, 1, 1, 1, 1, 1, 1, 1, 32, 32]
variety_dim	smallint	8
weight	smallint	6

{'A': [10, 10, 2, 2], 'A2': [2, 2, 2, 2], 'A2rev': [4, 4], 'A3': [1, 1, 1, 1], 'A3rev': [3, 3], 'A5': [5, 5], 'A5rev': [1, 1, 1, 1, 1, 1, 1, 1], 'A7': [1, 1, 1, 1, 1, 1], 'A7rev': [7], 'Arev': [14, 12], 'Au2': [5, 5, 1, 1], 'Au2rev': [7, 3, 3], 'Au3': [10, 10, 2, 2], 'Au3rev': [14, 4, 4], 'Au5': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'Au5rev': [14, 12], 'Au7': [10, 10], 'Au7rev': [12, 2, 2, 2, 2], 'B': [14, 12], 'B2': [4, 4], 'B2rev': [2, 2, 2, 2], 'B3': [3, 3], 'B3rev': [1, 1, 1, 1], 'B5': [1, 1, 1, 1, 1, 1, 1, 1], 'B5rev': [5, 5], 'B7': [7], 'B7rev': [1, 1, 1, 1, 1, 1], 'Brev': [10, 10, 2, 2], 'Bu2': [7, 3, 3], 'Bu2rev': [5, 5, 1, 1], 'Bu3': [14, 4, 4], 'Bu3rev': [10, 10, 2, 2], 'Bu5': [14, 12], 'Bu5rev': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'Bu7': [12, 2, 2, 2, 2], 'Bu7rev': [10, 10], 'C2': [2, 2, 2, 2, 2, 2], 'C3': [1, 1, 1, 1, 1, 1], 'C5': [1, 1], 'C7': [1, 1, 1, 1], 'Cu2': [], 'Cu3': [], 'Cu5': [], 'Cu7': [2, 2], 'bezout': [[1, 0, 0, -1, 3, -1, 0, 0, 1, 0], [0, 0, -1, 3, -3, 0, 0, 1, 0, -1], [0, -1, 3, -3, 0, 0, 1, 0, -1, 0], [-1, 3, -3, 0, 0, 1, 0, -1, 0, 0], [3, -3, 0, 0, 3, 0, -1, 0, 0, 1], [-1, 0, 0, 1, 0, -3, 0, 0, 3, -3], [0, 0, 1, 0, -1, 0, 0, 3, -3, 1], [0, 1, 0, -1, 0, 0, 3, -3, 1, 0], [1, 0, -1, 0, 0, 3, -3, 1, 0, 0], [0, -1, 0, 0, 1, -3, 1, 0, 0, -1]], 'degree': 10, 'det': [1, ''], 'famhodge': [1, 4, 4, 1], 'h0': [[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], [-1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [-1, 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], [1, 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, 1], [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, -1], [0, 0, 0, 0, 1, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 1, 0, 0, 0, -1], [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, 1], [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': 38, 'imprim': 1, 'label': 'A10.10.2.2_B14.12', 'mono': [[2, [46998591897600, 'index', 'D(5,2).C_{2}', [[5, 5, 1, 1], [7, 3, 3], [], 1]]], [3, 0], [5, 0], [7, 0]], 'snf': [1, 1, 1, 1, 1, 1, 1, 1, 7, 7], 'variety_dim': 7, 'weight': 3}