Database - hgm_monodromy

Formats: - HTML - YAML - JSON - 2026-10-28T14:32:44.880228

Query: /api/hgm_monodromy/?_offset=0

Column	Type	Example
A	integer[]	[2, 2, 3, 3, 3, 4]
Au	integer[]	[4, 2, 2, 1, 1, 1, 1, 1, 1]
B	integer[]	[11]
Bu	integer[]	[11]
Cu	integer[]	[]
ambient_factored_order	integer[]	[[2, 18], [3, 25], [5, 2], [7, 1], [11, 2], [13, 1], [41, 1], [61, 1]]
ambient_gens	integer[]	[[[2, 0, 2, 1, 0, 1, 1, 0, 1, 2], [0, 2, 1, 2, 2, 1, 2, 2, 1, 1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0...
ambient_group_label	text
ambient_matrix_group_label	text
ambient_name	text	'$Sp_10(mathbb{F}_3)_0^1$'
ambient_order	numeric	152915585868239728626892800
bezout_det	integer	1
degree	integer	10
ell	integer	3
family	text	'A2.2.3.3.3.4_B11'
isotropic_dim	integer	5
monodromy_factored_index	integer[]	[]
monodromy_factored_order	integer[]	[[2, 18], [3, 25], [5, 2], [7, 1], [11, 2], [13, 1], [41, 1], [61, 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	1
monodromy_matrix_group_label	text
monodromy_order	numeric	152915585868239728626892800
radical_dim	integer	0
type	integer	1
weight	integer	3
witt_index	integer	5

{'A': [10], 'Au': [10], 'B': [1, 1, 1, 2], 'Bu': [2, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 1], [5, 1], [7, 1], [13, 2], [17, 1]], 'ambient_gens': [[[8, 4, 12, 10], [0, 1, 0, 0], [3, 11, 8, 8], [7, 4, 12, 11]], [[2, 2, 2, 1], [0, 12, 1, 7], [8, 10, 11, 2], [10, 5, 3, 2]], [[2, 7, 1, 7], [0, 1, 0, 0], [8, 2, 2, 4], [10, 9, 11, 6]], [[10, 10, 11, 8], [2, 7, 10, 5], [3, 12, 9, 7], [10, 11, 12, 1]]], 'ambient_name': '$O_4(mathbb{F}_13)_0^1$', 'ambient_order': 9653280, 'bezout_det': 5, 'degree': 4, 'ell': 13, 'family': 'A10_B1.1.1.2', 'id': 13, 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 5], [3, 1], [5, 1], [7, 1], [13, 2], [17, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 11, 0, 2]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]]], 'monodromy_index': 1, 'monodromy_order': 9653280, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}