Database - hgm_monodromy

Formats: - HTML - YAML - JSON - 2026-10-28T14:32:27.537820

Query: /api/hgm_monodromy/?_offset=0

Column	Type	Example
A	integer[]	[2, 2, 3, 7]
Au	integer[]	[7, 2, 2]
B	integer[]	[1, 1, 5, 10]
Bu	integer[]	[10, 5]
Cu	integer[]	[1, 1]
ambient_factored_order	integer[]	[[2, 19], [3, 33], [5, 2], [7, 1], [13, 1], [41, 1]]
ambient_gens	integer[]	[[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 1, 2, 1, 0, 1, 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	'A2.2.3.7_B1.1.5.10'
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': [2], 'B': [1, 2, 2, 2], 'Bu': [1], 'Cu': [2, 2, 2], 'ambient_factored_order': [[2, 8], [3, 1], [5, 6], [31, 1]], 'ambient_gens': [[[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [3, 4, 4, 4]], [[4, 4, 0, 0], [0, 0, 4, 0], [1, 0, 0, 0], [4, 4, 1, 1]], [[2, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [4, 0, 0, 1]], [[2, 3, 3, 1], [0, 1, 0, 0], [0, 0, 1, 0], [4, 2, 2, 0]]], 'ambient_name': '$O_4(mathbb{F}_5)_3^0$', 'ambient_order': 372000000, 'bezout_det': 0, 'degree': 4, 'ell': 5, 'family': 'A10_B1.2.2.2', 'id': 58, 'isotropic_dim': 3, 'monodromy_factored_index': [[2, 6], [3, 1], [5, 2], [31, 1]], 'monodromy_factored_order': [[2, 2], [5, 4]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [4, 1, 4, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 2, 0, 3]]], 'monodromy_index': 148800, 'monodromy_order': 2500, 'radical_dim': 3, 'type': 0, 'weight': 2, 'witt_index': 0}