Database - hgm_monodromy

Formats: - HTML - YAML - JSON - 2026-10-28T14:32:07.981343

Query: /api/hgm_monodromy/?_offset=0

Column	Type	Example
A	integer[]	[8, 8]
Au	integer[]	[1, 1, 1, 1]
B	integer[]	[1, 2, 2, 2, 12]
Bu	integer[]	[3, 3]
Cu	integer[]	[1, 1, 1, 1]
ambient_factored_order	integer[]	[[2, 25], [3, 4], [5, 1], [7, 1]]
ambient_gens	integer[]	[[[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, 0...
ambient_group_label	text
ambient_matrix_group_label	text
ambient_name	text	'$O_8(mathbb{F}_2)_4^{0,0}$'
ambient_order	numeric	95126814720
bezout_det	integer	0
degree	integer	8
ell	integer	2
family	text	'A8.8_B1.2.2.2.12'
isotropic_dim	integer	6
monodromy_factored_index	integer[]	[[2, 13], [3, 2], [5, 1], [7, 1]]
monodromy_factored_order	integer[]	[[2, 12], [3, 2]]
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	2580480
monodromy_matrix_group_label	text
monodromy_order	numeric	36864
radical_dim	integer	4
type	integer	0
weight	integer	4
witt_index	integer	2

{'A': [10], 'Au': [10], 'B': [1, 2, 4], 'Bu': [4, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 6], [3, 1], [5, 2], [7, 2]], 'ambient_gens': [[[3, 2, 6, 1], [1, 3, 0, 0], [4, 1, 1, 0], [3, 6, 0, 1]], [[3, 3, 4, 2], [0, 4, 1, 4], [3, 2, 4, 3], [1, 0, 4, 0]], [[1, 1, 3, 0], [0, 1, 0, 0], [0, 4, 6, 0], [0, 6, 4, 1]], [[3, 5, 5, 6], [0, 1, 0, 0], [3, 3, 2, 2], [1, 1, 5, 4]]], 'ambient_name': '$O_4(mathbb{F}_7)_0^1$', 'ambient_order': 235200, 'bezout_det': 5, 'degree': 4, 'ell': 7, 'family': 'A10_B1.2.4', 'id': 75, 'isotropic_dim': 1, 'monodromy_factored_index': [[2, 2], [5, 1], [7, 2]], '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], [6, 1, 6, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 980, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}