Database - hgm_monodromy

Formats: - HTML - YAML - JSON - 2026-10-28T14:31:38.099601

Query: /api/hgm_monodromy/?_offset=0

Column	Type	Example
A	integer[]	[8, 9]
Au	integer[]	[8, 1, 1, 1, 1]
B	integer[]	[1, 1, 5, 12]
Bu	integer[]	[5, 4, 4]
Cu	integer[]	[1, 1]
ambient_factored_order	integer[]	[[2, 19], [3, 33], [5, 2], [7, 1], [13, 1], [41, 1]]
ambient_gens	integer[]	[[[2, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [1...
ambient_group_label	text
ambient_matrix_group_label	text
ambient_name	text	'$Sp_10(mathbb{F}_3)_2^0$'
ambient_order	numeric	271854534312835892025753600
bezout_det	integer	0
degree	integer	10
ell	integer	3
family	text	'A8.9_B1.1.5.12'
isotropic_dim	integer	6
monodromy_factored_index	integer[]	[[2, 4]]
monodromy_factored_order	integer[]	[[2, 15], [3, 33], [5, 2], [7, 1], [13, 1], [41, 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	16
monodromy_matrix_group_label	text
monodromy_order	numeric	16990908394552243251609600
radical_dim	integer	2
type	integer	1
weight	integer	3
witt_index	integer	4

{'A': [10], 'Au': [10], 'B': [1, 2, 4], 'Bu': [4, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 2], [5, 1]], 'ambient_gens': [[[0, 1, 0, 0], [2, 2, 0, 0], [0, 1, 0, 2], [1, 1, 1, 2]], [[0, 0, 1, 1], [0, 2, 2, 0], [0, 0, 1, 0], [1, 0, 2, 0]], [[1, 0, 0, 0], [1, 2, 1, 2], [0, 0, 1, 0], [0, 0, 0, 1]], [[0, 0, 0, 1], [1, 2, 1, 1], [1, 0, 0, 1], [0, 0, 2, 2]]], 'ambient_group_label': '1440.5842', 'ambient_name': '$O_4(mathbb{F}_3)_0^1$', 'ambient_order': 1440, 'bezout_det': 2, 'degree': 4, 'ell': 3, 'family': 'A10_B1.2.4', 'id': 73, 'isotropic_dim': 1, 'monodromy_factored_index': [[2, 1], [3, 1]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 0]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 6, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}