Database - hgm_monodromy

Formats: - HTML - YAML - JSON - 2026-10-28T14:32:44.879302

Query: /api/hgm_monodromy/?_offset=0

Column	Type	Example
A	integer[]	[4, 8, 10]
Au	integer[]	[1, 1, 1, 1]
B	integer[]	[1, 1, 20]
Bu	integer[]	[5]
Cu	integer[]	[5, 1, 1]
ambient_factored_order	integer[]	[[2, 43], [3, 6], [5, 2], [7, 2], [31, 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, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0...
ambient_group_label	text
ambient_matrix_group_label	text
ambient_name	text	'$Sp_10(mathbb{F}_2)_6^{0,0}$'
ambient_order	numeric	243509060105876275200
bezout_det	integer	0
degree	integer	10
ell	integer	2
family	text	'A4.8.10_B1.1.20'
isotropic_dim	integer	8
monodromy_factored_index	integer[]	[[2, 15], [3, 5], [7, 2], [31, 1]]
monodromy_factored_order	integer[]	[[2, 28], [3, 1], [5, 2]]
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	12095225856
monodromy_matrix_group_label	text
monodromy_order	numeric	20132659200
radical_dim	integer	6
type	integer	1
weight	integer	3
witt_index	integer	2

{'A': [10], 'Au': [10], 'B': [1, 1, 6], 'Bu': [6, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 9], [3, 2], [5, 2], [7, 4]], 'ambient_gens': [[[3, 0, 4, 3], [0, 5, 1, 4], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 2, 3, 5], [2, 0, 1, 5], [4, 2, 4, 4], [4, 3, 2, 3]]], 'ambient_name': '$Sp_4(mathbb{F}_7)_0^0$', 'ambient_order': 276595200, 'bezout_det': 1, 'degree': 4, 'ell': 7, 'family': 'A10_B1.1.6', 'id': 43, '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, 3, 3, 3]], [[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': 1, 'witt_index': 2}