Database - hgm_monodromy

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:56.827046

Query: /api/hgm_monodromy/?_offset=0

Column	Type	Example
A	integer[]	[2, 2, 3, 3, 4]
Au	integer[]	[1, 1, 1, 1]
B	integer[]	[6, 6, 12]
Bu	integer[]	[4, 2, 2]
Cu	integer[]	[4, 2, 2]
ambient_factored_order	integer[]	[[2, 16], [3, 26], [5, 2], [13, 1]]
ambient_gens	integer[]	[[[2, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0...
ambient_group_label	text
ambient_matrix_group_label	text
ambient_name	text	'$Sp_8(mathbb{F}_3)_4^0$'
ambient_order	numeric	54139708650745036800
bezout_det	integer	0
degree	integer	8
ell	integer	3
family	text	'A2.2.3.3.4_B6.6.12'
isotropic_dim	integer	6
monodromy_factored_index	integer[]	[[2, 7], [3, 5], [5, 1], [13, 1]]
monodromy_factored_order	integer[]	[[2, 9], [3, 21], [5, 1]]
monodromy_gens	integer[]	[[[0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0...
monodromy_group_label	text
monodromy_index	numeric	2021760
monodromy_matrix_group_label	text
monodromy_order	numeric	26778504199680
radical_dim	integer	4
type	integer	1
weight	integer	5
witt_index	integer	2

{'A': [10], 'Au': [10], 'B': [1, 2, 4], 'Bu': [4, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 2]], 'ambient_gens': [[[7, 4, 4, 18], [13, 16, 5, 18], [8, 2, 8, 10], [8, 17, 0, 4]], [[4, 7, 13, 6], [0, 1, 0, 0], [6, 14, 8, 12], [13, 5, 12, 8]], [[1, 6, 12, 12], [0, 6, 10, 10], [0, 3, 6, 5], [0, 10, 0, 1]], [[2, 9, 8, 2], [12, 10, 9, 18], [9, 18, 13, 0], [0, 1, 0, 10]]], 'ambient_name': '$O_4(mathbb{F}_19)_0^0$', 'ambient_order': 93571200, 'bezout_det': 5, 'degree': 4, 'ell': 19, 'family': 'A10_B1.2.4', 'id': 79, 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 3], [3, 3], [5, 1], [19, 2]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 0]]], 'monodromy_group_label': '240.189', 'monodromy_index': 389880, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 2}