Database - hgm_monodromy

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:20.873683

Query: /api/hgm_monodromy/?_offset=0

Column	Type	Example
A	integer[]	[4, 8, 12]
Au	integer[]	[8, 4, 4, 4]
B	integer[]	[1, 2, 5, 6, 6]
Bu	integer[]	[5, 2, 2, 2, 2, 2, 1]
Cu	integer[]	[]
ambient_factored_order	integer[]	[[2, 18], [3, 20], [5, 2], [7, 1], [13, 1], [41, 1], [61, 1]]
ambient_gens	integer[]	[[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 2, 1, 1, 0, 2, 1, 1, 1], [0...
ambient_group_label	text
ambient_matrix_group_label	text
ambient_name	text	'$O_10(mathbb{F}_3)_0^0$'
ambient_order	numeric	5200679722077329817600
bezout_det	integer	1
degree	integer	10
ell	integer	3
family	text	'A4.8.12_B1.2.5.6.6'
isotropic_dim	integer	4
monodromy_factored_index	integer[]	[[2, 1]]
monodromy_factored_order	integer[]	[[2, 17], [3, 20], [5, 2], [7, 1], [13, 1], [41, 1], [61, 1]]
monodromy_gens	integer[]	[[[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...
monodromy_group_label	text
monodromy_index	numeric	2
monodromy_matrix_group_label	text
monodromy_order	numeric	2600339861038664908800
radical_dim	integer	0
type	integer	0
weight	integer	2
witt_index	integer	4

{'A': [10], 'Au': [10], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 9], [3, 2], [5, 2], [7, 4]], 'ambient_gens': [[[1, 3, 6, 2], [1, 0, 4, 2], [5, 5, 4, 0], [5, 6, 6, 3]], [[3, 0, 6, 1], [0, 5, 5, 4], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_7)_0^0$', 'ambient_order': 276595200, 'bezout_det': 1, 'degree': 4, 'ell': 7, 'family': 'A10_B1.1.1.1', 'id': 3, 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 9], [3, 2], [5, 2], [7, 4]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [6, 4, 1, 4]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [6, 1, 6, 1]]], 'monodromy_index': 1, 'monodromy_order': 276595200, 'radical_dim': 0, 'type': 1, 'weight': 3, 'witt_index': 2}