Database - hgm_monodromy ((description not yet updated on this server))

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Query: /api/hgm_monodromy/?_offset=0

Column	Type
A	integer[]
Au	integer[]
B	integer[]
Bu	integer[]
Cu	integer[]
ambient_factored_order	integer[]
ambient_gens	integer[]
ambient_group_label	text
ambient_matrix_group_label	text
ambient_name	text
ambient_order	numeric
bezout_det	integer
degree	integer
ell	integer
family	text
isotropic_dim	integer
monodromy_factored_index	integer[]
monodromy_factored_order	integer[]
monodromy_gens	integer[]
monodromy_group_label	text
monodromy_index	numeric
monodromy_matrix_group_label	text
monodromy_order	numeric
radical_dim	integer
type	integer
weight	integer
witt_index	integer

0. id: 0
   {'A': [10], 'Au': [5], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 4], [3, 2], [5, 1]], 'ambient_gens': [[[0, 1, 0, 0], [0, 1, 0, 1], [1, 0, 1, 1], [1, 1, 0, 0]], [[1, 0, 1, 0], [1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 0, 1]]], 'ambient_group_label': '720.763', 'ambient_name': '$Sp_4(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 720, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.1.1.1', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1], [3, 1]], 'monodromy_factored_order': [[2, 3], [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], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 6, 'monodromy_order': 120, 'radical_dim': 0, 'type': 1, 'weight': 3, 'witt_index': 2}
1. id: 1
   {'A': [10], 'Au': [10], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 1]], 'ambient_gens': [[[1, 0, 1, 2], [0, 0, 1, 2], [0, 0, 0, 1], [2, 1, 0, 0]], [[2, 2, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_3)_0^0$', 'ambient_order': 51840, 'bezout_det': 1, 'degree': 4, 'ell': 3, 'family': 'A10_B1.1.1.1', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 0, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]]], 'monodromy_index': 1, 'monodromy_order': 51840, 'radical_dim': 0, 'type': 1, 'weight': 3, 'witt_index': 2}
2. id: 2
   {'A': [10], 'Au': [2, 2, 2, 2], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], 'ambient_gens': [[[1, 0, 0, 4], [0, 3, 3, 3], [3, 0, 0, 0], [0, 2, 3, 2]], [[2, 0, 0, 0], [0, 3, 0, 2], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_5)_0^0$', 'ambient_order': 9360000, 'bezout_det': 1, 'degree': 4, 'ell': 5, 'family': 'A10_B1.1.1.1', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], '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], [4, 4, 4, 4]]], 'monodromy_index': 1, 'monodromy_order': 9360000, 'radical_dim': 0, 'type': 1, 'weight': 3, 'witt_index': 2}
3. id: 3
   {'A': [10], 'Au': [10], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 9], [3, 2], [5, 2], [7, 4]], 'ambient_gens': [[[1, 3, 6, 2], [1, 0, 4, 2], [5, 5, 4, 0], [5, 6, 6, 3]], [[3, 0, 6, 1], [0, 5, 5, 4], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_7)_0^0$', 'ambient_order': 276595200, 'bezout_det': 1, 'degree': 4, 'ell': 7, 'family': 'A10_B1.1.1.1', '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, 4, 1, 4]], [[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': 3, 'witt_index': 2}
4. id: 4
   {'A': [10], 'Au': [10], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'ambient_gens': [[[1, 3, 1, 6], [7, 0, 1, 7], [5, 5, 8, 0], [5, 1, 3, 3]], [[2, 0, 2, 9], [0, 6, 10, 5], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_11)_0^0$', 'ambient_order': 25721308800, 'bezout_det': 1, 'degree': 4, 'ell': 11, 'family': 'A10_B1.1.1.1', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 4, 5, 4]]], 'monodromy_index': 1, 'monodromy_order': 25721308800, 'radical_dim': 0, 'type': 1, 'weight': 3, 'witt_index': 2}
5. id: 5
   {'A': [10], 'Au': [10], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'ambient_gens': [[[1, 3, 2, 4], [12, 0, 8, 11], [5, 9, 2, 3], [5, 2, 6, 11]], [[2, 0, 7, 6], [0, 7, 3, 6], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_13)_0^0$', 'ambient_order': 137037962880, 'bezout_det': 1, 'degree': 4, 'ell': 13, 'family': 'A10_B1.1.1.1', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 4, 7, 4]]], 'monodromy_index': 1, 'monodromy_order': 137037962880, 'radical_dim': 0, 'type': 1, 'weight': 3, 'witt_index': 2}
6. id: 6
   {'A': [10], 'Au': [10], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'ambient_gens': [[[1, 3, 4, 1], [9, 0, 16, 10], [5, 16, 13, 8], [5, 4, 14, 4]], [[3, 0, 8, 9], [0, 6, 3, 5], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_17)_0^0$', 'ambient_order': 2008994088960, 'bezout_det': 1, 'degree': 4, 'ell': 17, 'family': 'A10_B1.1.1.1', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 4, 11, 4]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]]], 'monodromy_index': 1, 'monodromy_order': 2008994088960, 'radical_dim': 0, 'type': 1, 'weight': 3, 'witt_index': 2}
7. id: 7
   {'A': [10], 'Au': [10], 'B': [1, 1, 1, 1], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'ambient_gens': [[[1, 3, 5, 16], [16, 0, 8, 16], [5, 3, 3, 18], [5, 5, 0, 16]], [[2, 0, 11, 8], [0, 10, 4, 9], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_19)_0^0$', 'ambient_order': 6114035779200, 'bezout_det': 1, 'degree': 4, 'ell': 19, 'family': 'A10_B1.1.1.1', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 4, 13, 4]]], 'monodromy_index': 1, 'monodromy_order': 6114035779200, 'radical_dim': 0, 'type': 1, 'weight': 3, 'witt_index': 2}
8. id: 8
   {'A': [10], 'Au': [5], 'B': [1, 1, 1, 2], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 3], [3, 1], [5, 1]], 'ambient_gens': [[[1, 0, 0, 0], [0, 1, 0, 0], [1, 1, 1, 1], [0, 0, 0, 1]], [[0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 0]], [[1, 0, 0, 0], [0, 0, 1, 0], [1, 1, 1, 1], [0, 0, 0, 1]]], 'ambient_group_label': '120.34', 'ambient_name': '$O_4(mathbb{F}_2)_0^{1,1}$', 'ambient_order': 120, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.1.1.2', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 3], [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], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 1, 'monodromy_order': 120, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
9. id: 9
   {'A': [10], 'Au': [10], 'B': [1, 1, 1, 2], 'Bu': [2, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 2], [5, 1]], 'ambient_gens': [[[1, 0, 0, 0], [2, 0, 2, 2], [2, 2, 0, 2], [0, 0, 0, 1]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 0, 2, 1], [0, 0, 0, 1]], [[0, 0, 0, 2], [2, 2, 0, 1], [2, 0, 2, 2], [1, 0, 0, 0]], [[1, 1, 0, 1], [2, 0, 1, 1], [1, 2, 0, 0], [0, 2, 0, 0]]], '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_B1.1.1.2', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 5], [3, 2], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]]], 'monodromy_group_label': '1440.5842', 'monodromy_index': 1, 'monodromy_order': 1440, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
10. id: 10
    {'A': [10], 'Au': [2, 2, 2], 'B': [1, 1, 1, 2], 'Bu': [1, 1, 1], 'Cu': [2], 'ambient_factored_order': [[2, 6], [3, 1], [5, 4]], 'ambient_gens': [[[2, 1, 0, 0], [4, 0, 0, 0], [1, 1, 1, 0], [4, 4, 0, 1]], [[1, 0, 0, 0], [4, 0, 4, 4], [0, 2, 1, 3], [3, 3, 3, 4]], [[1, 0, 0, 0], [1, 4, 1, 4], [2, 1, 3, 3], [2, 1, 2, 4]], [[1, 0, 0, 0], [0, 1, 1, 1], [3, 4, 3, 1], [3, 4, 2, 2]], [[2, 0, 0, 0], [4, 1, 0, 0], [1, 0, 1, 0], [4, 0, 0, 1]]], 'ambient_name': '$O_4(mathbb{F}_5)_1^1$', 'ambient_order': 120000, 'bezout_det': 0, 'degree': 4, 'ell': 5, 'family': 'A10_B1.1.1.2', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 2]], 'monodromy_factored_order': [[2, 4], [3, 1], [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, 3, 0, 2]]], 'monodromy_index': 4, 'monodromy_order': 30000, 'radical_dim': 1, 'type': 0, 'weight': 2, 'witt_index': 1}
11. id: 11
    {'A': [10], 'Au': [10], 'B': [1, 1, 1, 2], 'Bu': [2, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 6], [3, 1], [5, 2], [7, 2]], 'ambient_gens': [[[0, 1, 6, 5], [2, 5, 2, 0], [5, 6, 2, 6], [4, 6, 3, 4]], [[2, 1, 5, 1], [0, 5, 6, 1], [6, 6, 3, 6], [6, 6, 2, 0]], [[6, 6, 2, 0], [4, 3, 3, 0], [2, 1, 6, 0], [2, 1, 5, 1]], [[2, 2, 6, 2], [3, 3, 0, 2], [6, 4, 1, 4], [6, 1, 4, 2]]], 'ambient_name': '$O_4(mathbb{F}_7)_0^1$', 'ambient_order': 235200, 'bezout_det': 5, 'degree': 4, 'ell': 7, 'family': 'A10_B1.1.1.2', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 6], [3, 1], [5, 2], [7, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 5, 0, 2]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [6, 1, 6, 1]]], 'monodromy_index': 1, 'monodromy_order': 235200, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
12. id: 12
    {'A': [10], 'Au': [10], 'B': [1, 1, 1, 2], 'Bu': [2, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 2]], 'ambient_gens': [[[3, 4, 0, 1], [2, 8, 5, 5], [1, 9, 5, 9], [4, 10, 10, 7]], [[10, 3, 10, 10], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], [[10, 1, 2, 2], [9, 10, 9, 2], [3, 2, 5, 1], [9, 9, 10, 9]], [[1, 5, 2, 7], [0, 5, 3, 5], [0, 9, 5, 3], [0, 4, 1, 10]]], 'ambient_name': '$O_4(mathbb{F}_11)_0^0$', 'ambient_order': 3484800, 'bezout_det': 5, 'degree': 4, 'ell': 11, 'family': 'A10_B1.1.1.2', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1]], 'monodromy_factored_order': [[2, 6], [3, 2], [5, 2], [11, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 9, 0, 2]]], 'monodromy_index': 2, 'monodromy_order': 1742400, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 2}
13. id: 13
    {'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', '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}
14. id: 14
    {'A': [10], 'Au': [10], 'B': [1, 1, 1, 2], 'Bu': [2, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [17, 2], [29, 1]], 'ambient_gens': [[[16, 3, 16, 16], [0, 1, 0, 0], [13, 0, 9, 2], [15, 0, 4, 2]], [[16, 14, 16, 16], [0, 9, 12, 10], [13, 1, 14, 9], [15, 1, 1, 8]], [[1, 12, 14, 9], [0, 1, 0, 0], [0, 1, 5, 5], [0, 9, 2, 12]], [[14, 5, 2, 14], [0, 1, 0, 0], [5, 12, 2, 5], [0, 0, 0, 1]]], 'ambient_name': '$O_4(mathbb{F}_17)_0^1$', 'ambient_order': 48274560, 'bezout_det': 5, 'degree': 4, 'ell': 17, 'family': 'A10_B1.1.1.2', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [17, 2], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 15, 0, 2]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]]], 'monodromy_index': 1, 'monodromy_order': 48274560, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
15. id: 15
    {'A': [10], 'Au': [10], 'B': [1, 1, 1, 2], 'Bu': [2, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 2]], 'ambient_gens': [[[0, 9, 10, 15], [15, 6, 8, 0], [5, 10, 6, 9], [5, 15, 17, 4]], [[14, 9, 17, 1], [0, 1, 0, 0], [2, 16, 8, 6], [18, 11, 6, 17]], [[1, 3, 0, 0], [0, 16, 7, 14], [0, 14, 10, 18], [0, 6, 12, 6]], [[9, 12, 3, 3], [17, 15, 2, 18], [8, 12, 12, 9], [9, 18, 13, 18]]], 'ambient_name': '$O_4(mathbb{F}_19)_0^0$', 'ambient_order': 93571200, 'bezout_det': 5, 'degree': 4, 'ell': 19, 'family': 'A10_B1.1.1.2', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1]], 'monodromy_factored_order': [[2, 6], [3, 4], [5, 2], [19, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 17, 0, 2]]], 'monodromy_index': 2, 'monodromy_order': 46785600, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 2}
16. id: 16
    {'A': [10], 'Au': [5], 'B': [1, 1, 2, 2], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 4], [3, 2], [5, 1]], 'ambient_gens': [[[0, 1, 0, 0], [0, 1, 0, 1], [1, 0, 1, 1], [1, 1, 0, 0]], [[1, 0, 1, 0], [1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 0, 1]]], 'ambient_group_label': '720.763', 'ambient_name': '$Sp_4(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 720, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.1.2.2', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1], [3, 1]], 'monodromy_factored_order': [[2, 3], [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], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 6, 'monodromy_order': 120, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
17. id: 17
    {'A': [10], 'Au': [10], 'B': [1, 1, 2, 2], 'Bu': [2, 2, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 1]], 'ambient_gens': [[[1, 0, 0, 2], [0, 2, 2, 2], [1, 0, 0, 0], [0, 1, 2, 1]], [[2, 0, 0, 0], [0, 2, 0, 1], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_3)_0^0$', 'ambient_order': 51840, 'bezout_det': 1, 'degree': 4, 'ell': 3, 'family': 'A10_B1.1.2.2', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 0, 2, 0]]], 'monodromy_index': 1, 'monodromy_order': 51840, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
18. id: 18
    {'A': [10], 'Au': [2, 2], 'B': [1, 1, 2, 2], 'Bu': [1, 1], 'Cu': [2, 2], 'ambient_factored_order': [[2, 8], [3, 2], [5, 6]], 'ambient_gens': [[[4, 4, 0, 0], [1, 0, 0, 0], [0, 3, 1, 0], [4, 0, 0, 1]], [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 2, 0], [1, 4, 0, 3]], [[2, 2, 1, 0], [0, 1, 0, 0], [4, 3, 0, 0], [2, 4, 2, 1]], [[1, 0, 0, 0], [0, 1, 0, 0], [0, 4, 4, 4], [3, 0, 1, 0]], [[2, 0, 0, 0], [0, 1, 0, 0], [4, 0, 1, 0], [2, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_5)_2^1$', 'ambient_order': 36000000, 'bezout_det': 0, 'degree': 4, 'ell': 5, 'family': 'A10_B1.1.2.2', 'isotropic_dim': 3, 'monodromy_factored_index': [[2, 4], [3, 1]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 6]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [4, 0, 2, 0]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [4, 1, 4, 1]]], 'monodromy_index': 48, 'monodromy_order': 750000, 'radical_dim': 2, 'type': 1, 'weight': 1, 'witt_index': 1}
19. id: 19
    {'A': [10], 'Au': [10], 'B': [1, 1, 2, 2], 'Bu': [2, 2, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 9], [3, 2], [5, 2], [7, 4]], 'ambient_gens': [[[1, 6, 4, 1], [3, 0, 6, 4], [5, 6, 3, 2], [5, 4, 4, 4]], [[3, 0, 1, 6], [0, 5, 2, 4], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_7)_0^0$', 'ambient_order': 276595200, 'bezout_det': 4, 'degree': 4, 'ell': 7, 'family': 'A10_B1.1.2.2', '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, 0, 2, 0]], [[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}
20. id: 20
    {'A': [10], 'Au': [10], 'B': [1, 1, 2, 2], 'Bu': [2, 2, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'ambient_gens': [[[2, 0, 8, 3], [0, 6, 7, 5], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 10, 6, 9], [1, 0, 0, 2], [6, 2, 3, 0], [6, 6, 1, 8]]], 'ambient_name': '$Sp_4(mathbb{F}_11)_0^0$', 'ambient_order': 25721308800, 'bezout_det': 3, 'degree': 4, 'ell': 11, 'family': 'A10_B1.1.2.2', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 0, 2, 0]]], 'monodromy_index': 1, 'monodromy_order': 25721308800, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
21. id: 21
    {'A': [10], 'Au': [10], 'B': [1, 1, 2, 2], 'Bu': [2, 2, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'ambient_gens': [[[2, 0, 10, 3], [0, 7, 8, 6], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 12, 7, 2], [4, 0, 5, 2], [2, 11, 8, 10], [2, 7, 10, 5]]], 'ambient_name': '$Sp_4(mathbb{F}_13)_0^0$', 'ambient_order': 137037962880, 'bezout_det': 12, 'degree': 4, 'ell': 13, 'family': 'A10_B1.1.2.2', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 0, 2, 0]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]]], 'monodromy_index': 1, 'monodromy_order': 137037962880, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
22. id: 22
    {'A': [10], 'Au': [10], 'B': [1, 1, 2, 2], 'Bu': [2, 2, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'ambient_gens': [[[1, 16, 9, 14], [9, 0, 13, 8], [13, 3, 2, 14], [13, 9, 16, 15]], [[3, 0, 11, 6], [0, 6, 2, 5], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_17)_0^0$', 'ambient_order': 2008994088960, 'bezout_det': 8, 'degree': 4, 'ell': 17, 'family': 'A10_B1.1.2.2', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 0, 2, 0]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]]], 'monodromy_index': 1, 'monodromy_order': 2008994088960, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
23. id: 23
    {'A': [10], 'Au': [10], 'B': [1, 1, 2, 2], 'Bu': [2, 2, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'ambient_gens': [[[2, 0, 16, 3], [0, 10, 11, 9], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 18, 10, 3], [14, 0, 3, 8], [7, 16, 9, 11], [7, 10, 12, 10]]], 'ambient_name': '$Sp_4(mathbb{F}_19)_0^0$', 'ambient_order': 6114035779200, 'bezout_det': 6, 'degree': 4, 'ell': 19, 'family': 'A10_B1.1.2.2', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 0, 2, 0]]], 'monodromy_index': 1, 'monodromy_order': 6114035779200, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
24. id: 24
    {'A': [10], 'Au': [5], 'B': [1, 1, 3], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 4], [3, 2], [5, 1]], 'ambient_gens': [[[1, 0, 0, 1], [0, 0, 1, 1], [1, 0, 1, 1], [1, 1, 1, 0]], [[0, 1, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 0]]], 'ambient_group_label': '720.763', 'ambient_name': '$Sp_4(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 720, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.1.3', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1], [3, 1]], 'monodromy_factored_order': [[2, 3], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 6, 'monodromy_order': 120, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
25. id: 25
    {'A': [10], 'Au': [10], 'B': [1, 1, 3], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 1]], 'ambient_gens': [[[1, 0, 1, 2], [0, 0, 1, 2], [0, 0, 0, 1], [2, 1, 0, 0]], [[2, 2, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_3)_0^0$', 'ambient_order': 51840, 'bezout_det': 1, 'degree': 4, 'ell': 3, 'family': 'A10_B1.1.3', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 0, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]]], 'monodromy_index': 1, 'monodromy_order': 51840, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
26. id: 26
    {'A': [10], 'Au': [2, 2, 2, 2], 'B': [1, 1, 3], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], 'ambient_gens': [[[1, 0, 1, 4], [0, 0, 1, 4], [0, 0, 0, 1], [4, 1, 0, 0]], [[2, 4, 0, 0], [0, 1, 0, 0], [0, 0, 3, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_5)_0^0$', 'ambient_order': 9360000, 'bezout_det': 1, 'degree': 4, 'ell': 5, 'family': 'A10_B1.1.3', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [4, 1, 0, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [4, 1, 4, 1]]], 'monodromy_index': 1, 'monodromy_order': 9360000, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
27. id: 27
    {'A': [10], 'Au': [10], 'B': [1, 1, 3], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 9], [3, 2], [5, 2], [7, 4]], 'ambient_gens': [[[1, 0, 1, 6], [0, 0, 1, 6], [0, 0, 0, 1], [6, 1, 0, 0]], [[3, 5, 0, 0], [0, 1, 0, 0], [0, 0, 5, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_7)_0^0$', 'ambient_order': 276595200, 'bezout_det': 1, 'degree': 4, 'ell': 7, 'family': 'A10_B1.1.3', '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, 1, 0, 1]], [[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}
28. id: 28
    {'A': [10], 'Au': [10], 'B': [1, 1, 3], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'ambient_gens': [[[2, 10, 0, 0], [0, 1, 0, 0], [0, 0, 6, 0], [0, 0, 0, 1]], [[1, 0, 1, 10], [0, 0, 1, 10], [0, 0, 0, 1], [10, 1, 0, 0]]], 'ambient_name': '$Sp_4(mathbb{F}_11)_0^0$', 'ambient_order': 25721308800, 'bezout_det': 1, 'degree': 4, 'ell': 11, 'family': 'A10_B1.1.3', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 0, 1]]], 'monodromy_index': 1, 'monodromy_order': 25721308800, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
29. id: 29
    {'A': [10], 'Au': [10], 'B': [1, 1, 3], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'ambient_gens': [[[1, 0, 1, 12], [0, 0, 1, 12], [0, 0, 0, 1], [12, 1, 0, 0]], [[2, 12, 0, 0], [0, 1, 0, 0], [0, 0, 7, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_13)_0^0$', 'ambient_order': 137037962880, 'bezout_det': 1, 'degree': 4, 'ell': 13, 'family': 'A10_B1.1.3', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 0, 1]]], 'monodromy_index': 1, 'monodromy_order': 137037962880, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
30. id: 30
    {'A': [10], 'Au': [10], 'B': [1, 1, 3], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'ambient_gens': [[[1, 0, 1, 16], [0, 0, 1, 16], [0, 0, 0, 1], [16, 1, 0, 0]], [[3, 15, 0, 0], [0, 1, 0, 0], [0, 0, 6, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_17)_0^0$', 'ambient_order': 2008994088960, 'bezout_det': 1, 'degree': 4, 'ell': 17, 'family': 'A10_B1.1.3', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 0, 1]]], 'monodromy_index': 1, 'monodromy_order': 2008994088960, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
31. id: 31
    {'A': [10], 'Au': [10], 'B': [1, 1, 3], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'ambient_gens': [[[2, 18, 0, 0], [0, 1, 0, 0], [0, 0, 10, 0], [0, 0, 0, 1]], [[1, 0, 1, 18], [0, 0, 1, 18], [0, 0, 0, 1], [18, 1, 0, 0]]], 'ambient_name': '$Sp_4(mathbb{F}_19)_0^0$', 'ambient_order': 6114035779200, 'bezout_det': 1, 'degree': 4, 'ell': 19, 'family': 'A10_B1.1.3', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 0, 1]]], 'monodromy_index': 1, 'monodromy_order': 6114035779200, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
32. id: 32
    {'A': [10], 'Au': [5], 'B': [1, 1, 4], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 4], [3, 2], [5, 1]], 'ambient_gens': [[[0, 1, 0, 0], [0, 1, 0, 1], [1, 0, 1, 1], [1, 1, 0, 0]], [[1, 0, 1, 0], [1, 0, 0, 0], [1, 1, 0, 0], [1, 0, 0, 1]]], 'ambient_group_label': '720.763', 'ambient_name': '$Sp_4(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 720, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.1.4', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1], [3, 1]], 'monodromy_factored_order': [[2, 3], [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], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 6, 'monodromy_order': 120, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
33. id: 33
    {'A': [10], 'Au': [10], 'B': [1, 1, 4], 'Bu': [4, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 1]], 'ambient_gens': [[[1, 1, 1, 1], [0, 1, 2, 1], [2, 0, 1, 2], [2, 2, 0, 1]], [[2, 0, 2, 1], [0, 2, 2, 1], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_3)_0^0$', 'ambient_order': 51840, 'bezout_det': 1, 'degree': 4, 'ell': 3, 'family': 'A10_B1.1.4', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 2, 1, 2]]], 'monodromy_index': 1, 'monodromy_order': 51840, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
34. id: 34
    {'A': [10], 'Au': [2, 2, 2, 2], 'B': [1, 1, 4], 'Bu': [4, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], 'ambient_gens': [[[2, 0, 4, 1], [0, 3, 3, 2], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 1, 3, 1], [0, 1, 4, 1], [4, 0, 1, 4], [4, 4, 3, 3]]], 'ambient_name': '$Sp_4(mathbb{F}_5)_0^0$', 'ambient_order': 9360000, 'bezout_det': 1, 'degree': 4, 'ell': 5, 'family': 'A10_B1.1.4', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], '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], [4, 2, 3, 2]]], 'monodromy_index': 1, 'monodromy_order': 9360000, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
35. id: 35
    {'A': [10], 'Au': [10], 'B': [1, 1, 4], 'Bu': [4, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 9], [3, 2], [5, 2], [7, 4]], 'ambient_gens': [[[1, 1, 5, 1], [0, 1, 6, 1], [6, 0, 1, 6], [6, 6, 3, 5]], [[3, 0, 5, 2], [0, 5, 3, 4], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_7)_0^0$', 'ambient_order': 276595200, 'bezout_det': 1, 'degree': 4, 'ell': 7, 'family': 'A10_B1.1.4', '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, 1, 6, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [6, 2, 5, 2]]], 'monodromy_index': 1, 'monodromy_order': 276595200, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
36. id: 36
    {'A': [10], 'Au': [10], 'B': [1, 1, 4], 'Bu': [4, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'ambient_gens': [[[1, 1, 9, 1], [0, 1, 10, 1], [10, 0, 1, 10], [10, 10, 3, 9]], [[2, 0, 10, 1], [0, 6, 6, 5], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_11)_0^0$', 'ambient_order': 25721308800, 'bezout_det': 1, 'degree': 4, 'ell': 11, 'family': 'A10_B1.1.4', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 2, 9, 2]]], 'monodromy_index': 1, 'monodromy_order': 25721308800, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
37. id: 37
    {'A': [10], 'Au': [10], 'B': [1, 1, 4], 'Bu': [4, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'ambient_gens': [[[2, 0, 12, 1], [0, 7, 7, 6], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 1, 11, 1], [0, 1, 12, 1], [12, 0, 1, 12], [12, 12, 3, 11]]], 'ambient_name': '$Sp_4(mathbb{F}_13)_0^0$', 'ambient_order': 137037962880, 'bezout_det': 1, 'degree': 4, 'ell': 13, 'family': 'A10_B1.1.4', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 2, 11, 2]]], 'monodromy_index': 1, 'monodromy_order': 137037962880, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
38. id: 38
    {'A': [10], 'Au': [10], 'B': [1, 1, 4], 'Bu': [4, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'ambient_gens': [[[1, 1, 15, 1], [0, 1, 16, 1], [16, 0, 1, 16], [16, 16, 3, 15]], [[3, 0, 15, 2], [0, 6, 12, 5], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_17)_0^0$', 'ambient_order': 2008994088960, 'bezout_det': 1, 'degree': 4, 'ell': 17, 'family': 'A10_B1.1.4', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 2, 15, 2]]], 'monodromy_index': 1, 'monodromy_order': 2008994088960, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
39. id: 39
    {'A': [10], 'Au': [10], 'B': [1, 1, 4], 'Bu': [4, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'ambient_gens': [[[1, 1, 17, 1], [0, 1, 18, 1], [18, 0, 1, 18], [18, 18, 3, 17]], [[2, 0, 18, 1], [0, 10, 10, 9], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_19)_0^0$', 'ambient_order': 6114035779200, 'bezout_det': 1, 'degree': 4, 'ell': 19, 'family': 'A10_B1.1.4', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 2, 17, 2]]], 'monodromy_index': 1, 'monodromy_order': 6114035779200, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
40. id: 40
    {'A': [10], 'Au': [5], 'B': [1, 1, 6], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 4], [3, 2], [5, 1]], 'ambient_gens': [[[1, 0, 0, 1], [0, 0, 1, 1], [1, 0, 1, 1], [1, 1, 1, 0]], [[0, 1, 1, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 0]]], 'ambient_group_label': '720.763', 'ambient_name': '$Sp_4(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 720, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.1.6', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1], [3, 1]], 'monodromy_factored_order': [[2, 3], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 6, 'monodromy_order': 120, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
41. id: 41
    {'A': [10], 'Au': [10], 'B': [1, 1, 6], 'Bu': [2, 2, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 1]], 'ambient_gens': [[[1, 0, 0, 2], [0, 2, 2, 2], [1, 0, 0, 0], [0, 1, 2, 1]], [[2, 0, 0, 0], [0, 2, 0, 1], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_3)_0^0$', 'ambient_order': 51840, 'bezout_det': 1, 'degree': 4, 'ell': 3, 'family': 'A10_B1.1.6', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 0, 2, 0]]], 'monodromy_index': 1, 'monodromy_order': 51840, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
42. id: 42
    {'A': [10], 'Au': [2, 2, 2, 2], 'B': [1, 1, 6], 'Bu': [6, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], 'ambient_gens': [[[2, 0, 1, 4], [0, 3, 2, 2], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 2, 1, 1], [1, 0, 4, 2], [2, 4, 4, 0], [2, 1, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_5)_0^0$', 'ambient_order': 9360000, 'bezout_det': 1, 'degree': 4, 'ell': 5, 'family': 'A10_B1.1.6', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [4, 3, 1, 3]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [4, 1, 4, 1]]], 'monodromy_index': 1, 'monodromy_order': 9360000, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
43. id: 43
    {'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', '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}
44. id: 44
    {'A': [10], 'Au': [10], 'B': [1, 1, 6], 'Bu': [6, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'ambient_gens': [[[2, 0, 4, 7], [0, 6, 9, 5], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 2, 7, 10], [4, 0, 0, 2], [8, 1, 8, 6], [8, 7, 7, 3]]], 'ambient_name': '$Sp_4(mathbb{F}_11)_0^0$', 'ambient_order': 25721308800, 'bezout_det': 1, 'degree': 4, 'ell': 11, 'family': 'A10_B1.1.6', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 3, 7, 3]]], 'monodromy_index': 1, 'monodromy_order': 25721308800, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
45. id: 45
    {'A': [10], 'Au': [10], 'B': [1, 1, 6], 'Bu': [6, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'ambient_gens': [[[2, 0, 5, 8], [0, 7, 4, 6], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 2, 9, 7], [5, 0, 6, 5], [10, 6, 12, 10], [10, 9, 6, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_13)_0^0$', 'ambient_order': 137037962880, 'bezout_det': 1, 'degree': 4, 'ell': 13, 'family': 'A10_B1.1.6', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 3, 9, 3]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]]], 'monodromy_index': 1, 'monodromy_order': 137037962880, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
46. id: 46
    {'A': [10], 'Au': [10], 'B': [1, 1, 6], 'Bu': [6, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'ambient_gens': [[[3, 0, 14, 3], [0, 6, 1, 5], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 2, 13, 14], [7, 0, 7, 13], [14, 3, 7, 8], [14, 13, 4, 10]]], 'ambient_name': '$Sp_4(mathbb{F}_17)_0^0$', 'ambient_order': 2008994088960, 'bezout_det': 1, 'degree': 4, 'ell': 17, 'family': 'A10_B1.1.6', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 3, 13, 3]]], 'monodromy_index': 1, 'monodromy_order': 2008994088960, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
47. id: 47
    {'A': [10], 'Au': [10], 'B': [1, 1, 6], 'Bu': [6, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'ambient_gens': [[[2, 0, 8, 11], [0, 10, 15, 9], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 2, 15, 9], [8, 0, 17, 18], [16, 10, 13, 12], [16, 15, 3, 6]]], 'ambient_name': '$Sp_4(mathbb{F}_19)_0^0$', 'ambient_order': 6114035779200, 'bezout_det': 1, 'degree': 4, 'ell': 19, 'family': 'A10_B1.1.6', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 3, 15, 3]]], 'monodromy_index': 1, 'monodromy_order': 6114035779200, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
48. id: 48
    {'A': [10], 'Au': [5], 'B': [12], 'Bu': [3, 3], 'Cu': [], 'ambient_factored_order': [[2, 4], [3, 2], [5, 1]], 'ambient_gens': [[[0, 0, 0, 1], [0, 1, 1, 1], [1, 0, 0, 0], [0, 1, 0, 1]], [[1, 1, 0, 0], [1, 0, 0, 1], [1, 1, 0, 1], [0, 1, 1, 1]]], 'ambient_group_label': '720.763', 'ambient_name': '$Sp_4(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 720, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B12', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 4], [3, 2], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 0, 1, 0]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 1, 1]]], 'monodromy_group_label': '720.763', 'monodromy_index': 1, 'monodromy_order': 720, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
49. id: 49
    {'A': [10], 'Au': [10], 'B': [12], 'Bu': [4, 4], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 1]], 'ambient_gens': [[[2, 0, 1, 2], [0, 2, 1, 1], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 2, 1, 1], [1, 0, 0, 1], [1, 2, 2, 0], [1, 1, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_3)_0^0$', 'ambient_order': 51840, 'bezout_det': 1, 'degree': 4, 'ell': 3, 'family': 'A10_B12', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 0, 1, 0]]], 'monodromy_index': 1, 'monodromy_order': 51840, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
50. id: 50
    {'A': [10], 'Au': [2, 2, 2, 2], 'B': [12], 'Bu': [12], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], 'ambient_gens': [[[2, 0, 3, 2], [0, 3, 1, 2], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 4, 1, 2], [3, 0, 3, 4], [3, 3, 1, 0], [3, 1, 3, 4]]], 'ambient_name': '$Sp_4(mathbb{F}_5)_0^0$', 'ambient_order': 9360000, 'bezout_det': 1, 'degree': 4, 'ell': 5, 'family': 'A10_B12', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 4], [13, 1]], '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], [4, 0, 1, 0]]], 'monodromy_index': 1, 'monodromy_order': 9360000, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
51. id: 51
    {'A': [10], 'Au': [10], 'B': [12], 'Bu': [12], 'Cu': [], 'ambient_factored_order': [[2, 9], [3, 2], [5, 2], [7, 4]], 'ambient_gens': [[[1, 6, 1, 3], [5, 0, 3, 0], [5, 4, 0, 5], [5, 1, 3, 0]], [[3, 0, 3, 4], [0, 5, 6, 4], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_7)_0^0$', 'ambient_order': 276595200, 'bezout_det': 1, 'degree': 4, 'ell': 7, 'family': 'A10_B12', '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, 1, 6, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [6, 0, 1, 0]]], 'monodromy_index': 1, 'monodromy_order': 276595200, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
52. id: 52
    {'A': [10], 'Au': [10], 'B': [12], 'Bu': [12], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'ambient_gens': [[[1, 10, 1, 5], [9, 0, 3, 2], [9, 6, 9, 10], [9, 1, 3, 2]], [[2, 0, 9, 2], [0, 6, 1, 5], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_11)_0^0$', 'ambient_order': 25721308800, 'bezout_det': 1, 'degree': 4, 'ell': 11, 'family': 'A10_B12', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2], [11, 4], [61, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 0, 1, 0]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]]], 'monodromy_index': 1, 'monodromy_order': 25721308800, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
53. id: 53
    {'A': [10], 'Au': [10], 'B': [12], 'Bu': [12], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'ambient_gens': [[[2, 0, 11, 2], [0, 7, 1, 6], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 12, 1, 6], [11, 0, 3, 3], [11, 7, 10, 6], [11, 1, 3, 3]]], 'ambient_name': '$Sp_4(mathbb{F}_13)_0^0$', 'ambient_order': 137037962880, 'bezout_det': 1, 'degree': 4, 'ell': 13, 'family': 'A10_B12', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [7, 2], [13, 4], [17, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 0, 1, 0]]], 'monodromy_index': 1, 'monodromy_order': 137037962880, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
54. id: 54
    {'A': [10], 'Au': [10], 'B': [12], 'Bu': [12], 'Cu': [], 'ambient_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'ambient_gens': [[[3, 0, 13, 4], [0, 6, 7, 5], [0, 0, 1, 0], [0, 0, 0, 1]], [[1, 16, 1, 8], [15, 0, 3, 5], [15, 9, 12, 9], [15, 1, 3, 5]]], 'ambient_name': '$Sp_4(mathbb{F}_17)_0^0$', 'ambient_order': 2008994088960, 'bezout_det': 1, 'degree': 4, 'ell': 17, 'family': 'A10_B12', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 11], [3, 4], [5, 1], [17, 4], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 0, 1, 0]]], 'monodromy_index': 1, 'monodromy_order': 2008994088960, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
55. id: 55
    {'A': [10], 'Au': [10], 'B': [12], 'Bu': [12], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'ambient_gens': [[[1, 18, 1, 9], [17, 0, 3, 6], [17, 10, 13, 1], [17, 1, 3, 6]], [[2, 0, 17, 2], [0, 10, 1, 9], [0, 0, 1, 0], [0, 0, 0, 1]]], 'ambient_name': '$Sp_4(mathbb{F}_19)_0^0$', 'ambient_order': 6114035779200, 'bezout_det': 1, 'degree': 4, 'ell': 19, 'family': 'A10_B12', 'isotropic_dim': 2, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 4], [5, 2], [19, 4], [181, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 0, 1, 0]]], 'monodromy_index': 1, 'monodromy_order': 6114035779200, 'radical_dim': 0, 'type': 1, 'weight': 1, 'witt_index': 2}
56. id: 56
    {'A': [10], 'Au': [5], 'B': [1, 2, 2, 2], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 3], [3, 1], [5, 1]], 'ambient_gens': [[[1, 0, 0, 0], [0, 1, 0, 0], [1, 1, 1, 1], [0, 0, 0, 1]], [[0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 0]], [[1, 0, 0, 0], [0, 0, 1, 0], [1, 1, 1, 1], [0, 0, 0, 1]]], 'ambient_group_label': '120.34', 'ambient_name': '$O_4(mathbb{F}_2)_0^{1,1}$', 'ambient_order': 120, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.2.2.2', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 3], [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], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 1, 'monodromy_order': 120, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
57. id: 57
    {'A': [10], 'Au': [10], 'B': [1, 2, 2, 2], 'Bu': [2, 2, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 2], [5, 1]], 'ambient_gens': [[[0, 0, 2, 0], [0, 2, 0, 0], [0, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [1, 2, 0, 1], [0, 1, 1, 1], [0, 2, 0, 0]], [[0, 0, 0, 2], [0, 2, 0, 0], [2, 0, 1, 2], [2, 0, 0, 0]], [[0, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 0, 0, 0]]], '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_B1.2.2.2', '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], [2, 1, 2, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 2, 0, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 6, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
58. id: 58
    {'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', '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}
59. id: 59
    {'A': [10], 'Au': [10], 'B': [1, 2, 2, 2], 'Bu': [2, 2, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 6], [3, 1], [5, 2], [7, 2]], 'ambient_gens': [[[5, 6, 0, 5], [0, 5, 0, 0], [5, 6, 1, 4], [4, 6, 6, 0]], [[0, 6, 4, 6], [0, 5, 0, 0], [6, 6, 5, 6], [6, 6, 4, 0]], [[1, 0, 0, 0], [1, 6, 3, 1], [0, 0, 1, 0], [0, 0, 0, 1]], [[3, 2, 2, 5], [6, 1, 4, 6], [5, 1, 0, 3], [5, 1, 6, 4]]], 'ambient_name': '$O_4(mathbb{F}_7)_0^1$', 'ambient_order': 235200, 'bezout_det': 6, 'degree': 4, 'ell': 7, 'family': 'A10_B1.2.2.2', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 6], [3, 1], [5, 2], [7, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 2, 0, 5]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [6, 1, 6, 1]]], 'monodromy_index': 1, 'monodromy_order': 235200, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
60. id: 60
    {'A': [10], 'Au': [10], 'B': [1, 2, 2, 2], 'Bu': [2, 2, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 2]], 'ambient_gens': [[[9, 7, 7, 9], [6, 4, 3, 1], [2, 8, 5, 8], [4, 6, 8, 5]], [[10, 3, 5, 9], [2, 9, 6, 2], [9, 3, 6, 9], [9, 3, 5, 10]], [[3, 9, 2, 6], [3, 4, 4, 3], [10, 10, 10, 3], [6, 9, 6, 6]], [[9, 0, 2, 1], [0, 1, 0, 0], [1, 0, 0, 0], [0, 0, 1, 0]]], 'ambient_name': '$O_4(mathbb{F}_11)_0^0$', 'ambient_order': 3484800, 'bezout_det': 4, 'degree': 4, 'ell': 11, 'family': 'A10_B1.2.2.2', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1]], 'monodromy_factored_order': [[2, 6], [3, 2], [5, 2], [11, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 2, 0, 9]]], 'monodromy_index': 2, 'monodromy_order': 1742400, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 2}
61. id: 61
    {'A': [10], 'Au': [10], 'B': [1, 2, 2, 2], 'Bu': [2, 2, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 1], [5, 1], [7, 1], [13, 2], [17, 1]], 'ambient_gens': [[[9, 1, 11, 8], [0, 7, 0, 0], [8, 1, 12, 8], [8, 1, 11, 9]], [[10, 1, 5, 0], [0, 7, 0, 0], [0, 1, 10, 5], [5, 1, 10, 0]], [[2, 1, 3, 1], [6, 7, 5, 6], [1, 1, 4, 1], [1, 1, 3, 2]], [[12, 6, 0, 12], [7, 6, 8, 7], [0, 0, 0, 2], [4, 1, 10, 9]]], 'ambient_name': '$O_4(mathbb{F}_13)_0^1$', 'ambient_order': 9653280, 'bezout_det': 8, 'degree': 4, 'ell': 13, 'family': 'A10_B1.2.2.2', '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], [12, 1, 12, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 2, 0, 11]]], 'monodromy_index': 1, 'monodromy_order': 9653280, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
62. id: 62
    {'A': [10], 'Au': [10], 'B': [1, 2, 2, 2], 'Bu': [2, 2, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [17, 2], [29, 1]], 'ambient_gens': [[[15, 4, 8, 14], [0, 6, 0, 0], [14, 4, 9, 14], [14, 4, 8, 15]], [[4, 0, 9, 3], [16, 1, 14, 16], [3, 0, 10, 3], [3, 0, 9, 4]], [[5, 4, 6, 9], [0, 6, 0, 0], [9, 4, 6, 5], [5, 4, 2, 13]], [[1, 0, 0, 0], [1, 16, 3, 1], [15, 4, 7, 10], [15, 4, 6, 11]]], 'ambient_name': '$O_4(mathbb{F}_17)_0^1$', 'ambient_order': 48274560, 'bezout_det': 6, 'degree': 4, 'ell': 17, 'family': 'A10_B1.2.2.2', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [17, 2], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 2, 0, 15]]], 'monodromy_index': 1, 'monodromy_order': 48274560, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
63. id: 63
    {'A': [10], 'Au': [10], 'B': [1, 2, 2, 2], 'Bu': [2, 2, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 2]], 'ambient_gens': [[[13, 7, 16, 14], [4, 0, 16, 1], [9, 8, 18, 18], [6, 7, 4, 4]], [[8, 0, 5, 7], [0, 1, 0, 0], [7, 0, 3, 10], [10, 0, 8, 2]], [[10, 16, 8, 9], [8, 11, 5, 8], [9, 16, 9, 9], [9, 16, 8, 10]], [[18, 10, 17, 1], [0, 0, 2, 0], [10, 15, 2, 4], [12, 2, 5, 15]]], 'ambient_name': '$O_4(mathbb{F}_19)_0^0$', 'ambient_order': 93571200, 'bezout_det': 11, 'degree': 4, 'ell': 19, 'family': 'A10_B1.2.2.2', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1]], 'monodromy_factored_order': [[2, 6], [3, 4], [5, 2], [19, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 2, 0, 17]]], 'monodromy_index': 2, 'monodromy_order': 46785600, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 2}
64. id: 64
    {'A': [10], 'Au': [5], 'B': [1, 2, 3], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 3], [3, 1], [5, 1]], 'ambient_gens': [[[1, 0, 0, 1], [0, 1, 0, 1], [1, 0, 1, 1], [1, 0, 0, 0]], [[1, 0, 0, 0], [1, 0, 1, 1], [1, 1, 0, 1], [0, 0, 0, 1]], [[0, 1, 0, 1], [1, 0, 1, 1], [1, 1, 0, 1], [0, 0, 0, 1]]], 'ambient_group_label': '120.34', 'ambient_name': '$O_4(mathbb{F}_2)_0^{1,1}$', 'ambient_order': 120, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.2.3', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 3], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 1, 'monodromy_order': 120, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
65. id: 65
    {'A': [10], 'Au': [10], 'B': [1, 2, 3], 'Bu': [2, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 2], [5, 1]], 'ambient_gens': [[[1, 0, 0, 0], [2, 0, 2, 2], [2, 2, 0, 2], [0, 0, 0, 1]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 0, 2, 1], [0, 0, 0, 1]], [[0, 0, 0, 2], [2, 2, 0, 1], [2, 0, 2, 2], [1, 0, 0, 0]], [[1, 1, 0, 1], [2, 0, 1, 1], [1, 2, 0, 0], [0, 2, 0, 0]]], '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_B1.2.3', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 5], [3, 2], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 2]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [2, 1, 2, 1]]], 'monodromy_group_label': '1440.5842', 'monodromy_index': 1, 'monodromy_order': 1440, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
66. id: 66
    {'A': [10], 'Au': [2, 2, 2], 'B': [1, 2, 3], 'Bu': [3, 1], 'Cu': [2], 'ambient_factored_order': [[2, 6], [3, 1], [5, 4]], 'ambient_gens': [[[2, 1, 0, 0], [4, 0, 0, 0], [1, 1, 1, 0], [4, 4, 0, 1]], [[1, 0, 0, 0], [2, 3, 0, 0], [0, 0, 2, 1], [0, 0, 0, 1]], [[1, 0, 0, 0], [4, 0, 1, 1], [1, 1, 0, 4], [0, 0, 0, 1]], [[1, 0, 0, 0], [1, 1, 1, 2], [0, 3, 0, 1], [1, 3, 0, 4]], [[2, 0, 0, 0], [4, 1, 0, 0], [1, 0, 1, 0], [4, 0, 0, 1]]], 'ambient_name': '$O_4(mathbb{F}_5)_1^1$', 'ambient_order': 120000, 'bezout_det': 0, 'degree': 4, 'ell': 5, 'family': 'A10_B1.2.3', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 2]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 4]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 4]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [4, 1, 4, 1]]], 'monodromy_index': 4, 'monodromy_order': 30000, 'radical_dim': 1, 'type': 0, 'weight': 2, 'witt_index': 1}
67. id: 67
    {'A': [10], 'Au': [10], 'B': [1, 2, 3], 'Bu': [3, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 6], [3, 1], [5, 2], [7, 2]], 'ambient_gens': [[[0, 0, 0, 1], [3, 3, 0, 6], [1, 0, 5, 2], [6, 0, 0, 3]], [[1, 0, 0, 0], [6, 0, 2, 2], [4, 4, 0, 6], [0, 0, 0, 1]], [[6, 5, 0, 4], [2, 3, 5, 6], [2, 2, 0, 1], [1, 1, 0, 6]], [[1, 0, 0, 0], [2, 3, 0, 0], [0, 0, 5, 4], [0, 0, 0, 1]]], 'ambient_name': '$O_4(mathbb{F}_7)_0^1$', 'ambient_order': 235200, 'bezout_det': 5, 'degree': 4, 'ell': 7, 'family': 'A10_B1.2.3', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 6], [3, 1], [5, 2], [7, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 6]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [6, 1, 6, 1]]], 'monodromy_index': 1, 'monodromy_order': 235200, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
68. id: 68
    {'A': [10], 'Au': [10], 'B': [1, 2, 3], 'Bu': [3, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 2]], 'ambient_gens': [[[10, 9, 10, 5], [9, 2, 1, 10], [0, 5, 4, 1], [0, 1, 2, 7]], [[8, 0, 0, 1], [4, 1, 0, 10], [1, 0, 1, 1], [10, 0, 0, 0]], [[1, 0, 0, 0], [10, 0, 2, 2], [6, 6, 0, 10], [0, 0, 0, 1]], [[9, 5, 7, 4], [5, 6, 4, 2], [10, 5, 4, 8], [2, 1, 2, 4]]], 'ambient_name': '$O_4(mathbb{F}_11)_0^0$', 'ambient_order': 3484800, 'bezout_det': 5, 'degree': 4, 'ell': 11, 'family': 'A10_B1.2.3', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1]], 'monodromy_factored_order': [[2, 6], [3, 2], [5, 2], [11, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 10]]], 'monodromy_index': 2, 'monodromy_order': 1742400, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 2}
69. id: 69
    {'A': [10], 'Au': [10], 'B': [1, 2, 3], 'Bu': [3, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 1], [5, 1], [7, 1], [13, 2], [17, 1]], 'ambient_gens': [[[1, 0, 0, 0], [12, 0, 2, 2], [7, 7, 0, 12], [0, 0, 0, 1]], [[1, 0, 0, 0], [1, 2, 0, 0], [0, 0, 7, 6], [0, 0, 0, 1]], [[8, 0, 0, 5], [7, 2, 0, 8], [5, 0, 7, 10], [8, 0, 0, 10]], [[10, 9, 0, 10], [4, 5, 11, 5], [0, 0, 0, 1], [6, 6, 0, 12]]], 'ambient_name': '$O_4(mathbb{F}_13)_0^1$', 'ambient_order': 9653280, 'bezout_det': 5, 'degree': 4, 'ell': 13, 'family': 'A10_B1.2.3', '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], [12, 1, 12, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 12]]], 'monodromy_index': 1, 'monodromy_order': 9653280, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
70. id: 70
    {'A': [10], 'Au': [10], 'B': [1, 2, 3], 'Bu': [3, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [17, 2], [29, 1]], 'ambient_gens': [[[1, 0, 0, 0], [2, 3, 0, 0], [0, 0, 6, 5], [0, 0, 0, 1]], [[1, 0, 0, 0], [16, 0, 2, 2], [9, 9, 0, 16], [0, 0, 0, 1]], [[2, 3, 0, 3], [4, 15, 15, 13], [8, 8, 0, 16], [0, 0, 0, 1]], [[13, 0, 0, 4], [7, 3, 0, 13], [4, 0, 6, 15], [13, 0, 0, 8]]], 'ambient_name': '$O_4(mathbb{F}_17)_0^1$', 'ambient_order': 48274560, 'bezout_det': 5, 'degree': 4, 'ell': 17, 'family': 'A10_B1.2.3', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 1], [17, 2], [29, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 16]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]]], 'monodromy_index': 1, 'monodromy_order': 48274560, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 1}
71. id: 71
    {'A': [10], 'Au': [10], 'B': [1, 2, 3], 'Bu': [3, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 2]], 'ambient_gens': [[[1, 0, 0, 16], [0, 1, 0, 3], [16, 0, 1, 9], [3, 0, 0, 11]], [[3, 7, 13, 1], [15, 12, 6, 15], [11, 12, 6, 12], [2, 17, 2, 14]], [[1, 16, 14, 9], [16, 3, 5, 3], [14, 9, 12, 6], [13, 1, 15, 0]], [[1, 0, 0, 0], [18, 0, 2, 2], [10, 10, 0, 18], [0, 0, 0, 1]]], 'ambient_name': '$O_4(mathbb{F}_19)_0^0$', 'ambient_order': 93571200, 'bezout_det': 5, 'degree': 4, 'ell': 19, 'family': 'A10_B1.2.3', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 1]], 'monodromy_factored_order': [[2, 6], [3, 4], [5, 2], [19, 2]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 18]]], 'monodromy_index': 2, 'monodromy_order': 46785600, 'radical_dim': 0, 'type': 0, 'weight': 2, 'witt_index': 2}
72. id: 72
    {'A': [10], 'Au': [5], 'B': [1, 2, 4], 'Bu': [1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 3], [3, 1], [5, 1]], 'ambient_gens': [[[1, 0, 0, 0], [0, 1, 0, 0], [1, 1, 1, 1], [0, 0, 0, 1]], [[0, 0, 0, 1], [1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 0]], [[1, 0, 0, 0], [0, 0, 1, 0], [1, 1, 1, 1], [0, 0, 0, 1]]], 'ambient_group_label': '120.34', 'ambient_name': '$O_4(mathbb{F}_2)_0^{1,1}$', 'ambient_order': 120, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.2.4', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 3], [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], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 1, 'monodromy_order': 120, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}
73. id: 73
    {'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', '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}
74. id: 74
    {'A': [10], 'Au': [2, 2, 2], 'B': [1, 2, 4], 'Bu': [4, 1], 'Cu': [2], 'ambient_factored_order': [[2, 6], [3, 1], [5, 4]], 'ambient_gens': [[[2, 1, 0, 0], [4, 0, 0, 0], [1, 1, 1, 0], [4, 4, 0, 1]], [[1, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 4], [0, 1, 0, 0]], [[1, 0, 0, 0], [0, 4, 2, 4], [0, 2, 4, 1], [0, 4, 1, 3]], [[1, 0, 0, 0], [4, 1, 1, 0], [2, 3, 1, 4], [4, 1, 0, 4]], [[2, 0, 0, 0], [4, 1, 0, 0], [1, 0, 1, 0], [4, 0, 0, 1]]], 'ambient_name': '$O_4(mathbb{F}_5)_1^1$', 'ambient_order': 120000, 'bezout_det': 0, 'degree': 4, 'ell': 5, 'family': 'A10_B1.2.4', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 2], [5, 3]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], '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, 0, 0, 0]]], 'monodromy_group_label': '240.189', 'monodromy_index': 500, 'monodromy_order': 240, 'radical_dim': 1, 'type': 0, 'weight': 0, 'witt_index': 1}
75. id: 75
    {'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', '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}
76. id: 76
    {'A': [10], 'Au': [10], 'B': [1, 2, 4], 'Bu': [4, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 2]], 'ambient_gens': [[[6, 2, 1, 3], [0, 1, 0, 0], [10, 4, 3, 6], [7, 5, 8, 3]], [[1, 7, 3, 2], [0, 1, 3, 2], [0, 0, 10, 6], [0, 3, 1, 9]], [[6, 0, 4, 9], [9, 0, 3, 1], [2, 1, 1, 10], [2, 0, 4, 5]], [[9, 10, 6, 0], [3, 7, 1, 2], [6, 7, 0, 9], [7, 8, 9, 7]]], 'ambient_name': '$O_4(mathbb{F}_11)_0^0$', 'ambient_order': 3484800, 'bezout_det': 5, 'degree': 4, 'ell': 11, 'family': 'A10_B1.2.4', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 3], [3, 1], [5, 1], [11, 2]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 0]]], 'monodromy_group_label': '240.189', 'monodromy_index': 14520, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 2}
77. id: 77
    {'A': [10], 'Au': [10], 'B': [1, 2, 4], 'Bu': [4, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 1], [5, 1], [7, 1], [13, 2], [17, 1]], 'ambient_gens': [[[2, 1, 0, 5], [7, 6, 2, 4], [1, 12, 3, 0], [1, 5, 9, 3]], [[7, 7, 4, 12], [0, 1, 0, 0], [6, 11, 8, 5], [11, 5, 2, 8]], [[11, 1, 3, 4], [0, 1, 0, 0], [6, 11, 8, 5], [11, 5, 2, 8]], [[7, 0, 4, 12], [0, 11, 4, 12], [6, 11, 6, 12], [11, 7, 9, 3]]], 'ambient_name': '$O_4(mathbb{F}_13)_0^1$', 'ambient_order': 9653280, 'bezout_det': 5, 'degree': 4, 'ell': 13, 'family': 'A10_B1.2.4', 'isotropic_dim': 1, 'monodromy_factored_index': [[2, 1], [7, 1], [13, 2], [17, 1]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 0]]], 'monodromy_group_label': '240.189', 'monodromy_index': 40222, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}
78. id: 78
    {'A': [10], 'Au': [10], 'B': [1, 2, 4], 'Bu': [4, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [17, 2], [29, 1]], 'ambient_gens': [[[0, 4, 12, 10], [0, 1, 0, 0], [11, 16, 8, 14], [2, 6, 9, 2]], [[16, 12, 5, 0], [0, 1, 0, 0], [7, 12, 3, 6], [4, 0, 10, 15]], [[5, 5, 10, 0], [0, 1, 0, 0], [1, 14, 12, 0], [11, 1, 2, 1]], [[0, 6, 6, 9], [0, 5, 6, 1], [11, 3, 4, 2], [2, 10, 4, 4]]], 'ambient_name': '$O_4(mathbb{F}_17)_0^1$', 'ambient_order': 48274560, 'bezout_det': 5, 'degree': 4, 'ell': 17, 'family': 'A10_B1.2.4', 'isotropic_dim': 1, 'monodromy_factored_index': [[2, 3], [3, 1], [17, 2], [29, 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], [16, 1, 16, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 201144, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}
79. id: 79
    {'A': [10], 'Au': [10], 'B': [1, 2, 4], 'Bu': [4, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 2]], 'ambient_gens': [[[7, 4, 4, 18], [13, 16, 5, 18], [8, 2, 8, 10], [8, 17, 0, 4]], [[4, 7, 13, 6], [0, 1, 0, 0], [6, 14, 8, 12], [13, 5, 12, 8]], [[1, 6, 12, 12], [0, 6, 10, 10], [0, 3, 6, 5], [0, 10, 0, 1]], [[2, 9, 8, 2], [12, 10, 9, 18], [9, 18, 13, 0], [0, 1, 0, 10]]], 'ambient_name': '$O_4(mathbb{F}_19)_0^0$', 'ambient_order': 93571200, 'bezout_det': 5, 'degree': 4, 'ell': 19, 'family': 'A10_B1.2.4', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 3], [3, 3], [5, 1], [19, 2]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 0, 0, 0]]], 'monodromy_group_label': '240.189', 'monodromy_index': 389880, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 2}
80. id: 80
    {'A': [10], 'Au': [5], 'B': [1, 2, 6], 'Bu': [3, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 3], [3, 1], [5, 1]], 'ambient_gens': [[[1, 0, 0, 1], [0, 1, 0, 1], [1, 0, 1, 1], [1, 0, 0, 0]], [[1, 0, 0, 0], [1, 0, 1, 1], [1, 1, 0, 1], [0, 0, 0, 1]], [[0, 1, 0, 1], [1, 0, 1, 1], [1, 1, 0, 1], [0, 0, 0, 1]]], 'ambient_group_label': '120.34', 'ambient_name': '$O_4(mathbb{F}_2)_0^{1,1}$', 'ambient_order': 120, 'bezout_det': 1, 'degree': 4, 'ell': 2, 'family': 'A10_B1.2.6', 'isotropic_dim': 1, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 3], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 0, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 1, 1, 1]]], 'monodromy_group_label': '120.34', 'monodromy_index': 1, 'monodromy_order': 120, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}
81. id: 81
    {'A': [10], 'Au': [10], 'B': [1, 2, 6], 'Bu': [2, 2, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 2], [5, 1]], 'ambient_gens': [[[0, 0, 2, 0], [0, 2, 0, 0], [0, 0, 0, 2], [2, 0, 1, 2]], [[1, 0, 0, 0], [1, 2, 0, 1], [0, 1, 1, 1], [0, 2, 0, 0]], [[0, 0, 0, 2], [0, 2, 0, 0], [2, 0, 1, 2], [2, 0, 0, 0]], [[0, 0, 0, 2], [2, 1, 0, 2], [2, 0, 1, 2], [2, 0, 0, 0]]], '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_B1.2.6', '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], [2, 1, 2, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 2, 0, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 6, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}
82. id: 82
    {'A': [10], 'Au': [2, 2, 2], 'B': [1, 2, 6], 'Bu': [6, 1], 'Cu': [2], 'ambient_factored_order': [[2, 6], [3, 1], [5, 4]], 'ambient_gens': [[[2, 1, 0, 0], [4, 0, 0, 0], [1, 1, 1, 0], [4, 4, 0, 1]], [[1, 0, 0, 0], [3, 4, 0, 0], [3, 3, 1, 0], [4, 4, 0, 1]], [[1, 0, 0, 0], [3, 3, 1, 2], [3, 3, 1, 0], [4, 1, 3, 2]], [[1, 0, 0, 0], [1, 4, 1, 4], [1, 3, 2, 4], [0, 4, 2, 4]], [[2, 0, 0, 0], [4, 1, 0, 0], [1, 0, 1, 0], [4, 0, 0, 1]]], 'ambient_name': '$O_4(mathbb{F}_5)_1^1$', 'ambient_order': 120000, 'bezout_det': 0, 'degree': 4, 'ell': 5, 'family': 'A10_B1.2.6', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 2], [5, 3]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], '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, 4, 0, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 500, 'monodromy_order': 240, 'radical_dim': 1, 'type': 0, 'weight': 0, 'witt_index': 1}
83. id: 83
    {'A': [10], 'Au': [10], 'B': [1, 2, 6], 'Bu': [6, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 6], [3, 1], [5, 2], [7, 2]], 'ambient_gens': [[[0, 6, 2, 1], [0, 5, 0, 4], [2, 2, 4, 5], [0, 0, 0, 1]], [[0, 0, 6, 0], [3, 5, 0, 2], [2, 0, 3, 0], [1, 5, 6, 0]], [[1, 6, 6, 3], [5, 5, 6, 5], [4, 2, 5, 0], [2, 0, 1, 0]], [[0, 6, 2, 1], [3, 4, 1, 4], [2, 2, 4, 5], [0, 0, 0, 1]]], 'ambient_name': '$O_4(mathbb{F}_7)_0^1$', 'ambient_order': 235200, 'bezout_det': 5, 'degree': 4, 'ell': 7, 'family': 'A10_B1.2.6', '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, 6, 0, 1]], [[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}
84. id: 84
    {'A': [10], 'Au': [10], 'B': [1, 2, 6], 'Bu': [6, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 2], [11, 2]], 'ambient_gens': [[[8, 10, 9, 8], [0, 1, 0, 0], [3, 9, 8, 5], [8, 2, 4, 7]], [[0, 0, 1, 6], [10, 2, 2, 1], [10, 10, 0, 4], [0, 10, 2, 10]], [[1, 6, 0, 0], [0, 9, 5, 5], [0, 4, 0, 10], [0, 5, 10, 0]], [[8, 0, 5, 1], [6, 9, 2, 0], [8, 8, 0, 9], [3, 6, 0, 6]]], 'ambient_name': '$O_4(mathbb{F}_11)_0^0$', 'ambient_order': 3484800, 'bezout_det': 5, 'degree': 4, 'ell': 11, 'family': 'A10_B1.2.6', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 3], [3, 1], [5, 1], [11, 2]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [10, 1, 10, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 10, 0, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 14520, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 2}
85. id: 85
    {'A': [10], 'Au': [10], 'B': [1, 2, 6], 'Bu': [6, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 5], [3, 1], [5, 1], [7, 1], [13, 2], [17, 1]], 'ambient_gens': [[[11, 10, 10, 3], [0, 1, 0, 0], [8, 8, 9, 5], [7, 7, 7, 7]], [[7, 10, 7, 5], [0, 1, 0, 0], [8, 8, 9, 5], [7, 7, 7, 7]], [[7, 0, 3, 4], [0, 12, 8, 2], [8, 11, 7, 11], [7, 11, 9, 1]], [[5, 8, 0, 2], [1, 11, 7, 8], [2, 3, 5, 9], [2, 10, 2, 6]]], 'ambient_name': '$O_4(mathbb{F}_13)_0^1$', 'ambient_order': 9653280, 'bezout_det': 5, 'degree': 4, 'ell': 13, 'family': 'A10_B1.2.6', 'isotropic_dim': 1, 'monodromy_factored_index': [[2, 1], [7, 1], [13, 2], [17, 1]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [12, 1, 12, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 12, 0, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 40222, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}
86. id: 86
    {'A': [10], 'Au': [10], 'B': [1, 2, 6], 'Bu': [6, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 2], [5, 1], [17, 2], [29, 1]], 'ambient_gens': [[[2, 2, 12, 16], [0, 16, 1, 14], [5, 16, 8, 14], [13, 13, 1, 4]], [[2, 16, 7, 13], [16, 16, 9, 3], [1, 3, 15, 3], [6, 1, 16, 2]], [[2, 9, 9, 8], [0, 1, 0, 0], [5, 6, 12, 2], [13, 2, 15, 13]], [[0, 15, 8, 1], [0, 1, 0, 0], [11, 5, 15, 6], [15, 13, 16, 3]]], 'ambient_name': '$O_4(mathbb{F}_17)_0^1$', 'ambient_order': 48274560, 'bezout_det': 5, 'degree': 4, 'ell': 17, 'family': 'A10_B1.2.6', 'isotropic_dim': 1, 'monodromy_factored_index': [[2, 3], [3, 1], [17, 2], [29, 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, 16, 0, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [16, 1, 16, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 201144, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 1}
87. id: 87
    {'A': [10], 'Au': [10], 'B': [1, 2, 6], 'Bu': [6, 2, 1], 'Cu': [], 'ambient_factored_order': [[2, 7], [3, 4], [5, 2], [19, 2]], 'ambient_gens': [[[1, 11, 13, 17], [0, 9, 9, 3], [0, 13, 12, 10], [0, 14, 11, 11]], [[6, 7, 7, 4], [12, 12, 14, 18], [15, 12, 1, 17], [5, 15, 17, 16]], [[11, 2, 13, 13], [13, 15, 5, 5], [7, 8, 3, 9], [2, 10, 11, 6]], [[8, 5, 13, 4], [0, 1, 0, 0], [13, 12, 17, 2], [18, 2, 9, 14]]], 'ambient_name': '$O_4(mathbb{F}_19)_0^0$', 'ambient_order': 93571200, 'bezout_det': 5, 'degree': 4, 'ell': 19, 'family': 'A10_B1.2.6', 'isotropic_dim': 2, 'monodromy_factored_index': [[2, 3], [3, 3], [5, 1], [19, 2]], 'monodromy_factored_order': [[2, 4], [3, 1], [5, 1]], 'monodromy_gens': [[[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [18, 1, 18, 1]], [[0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1], [1, 18, 0, 1]]], 'monodromy_group_label': '240.189', 'monodromy_index': 389880, 'monodromy_order': 240, 'radical_dim': 0, 'type': 0, 'weight': 0, 'witt_index': 2}
88. id: 88
    {'A': [10, 10], 'Au': [5, 5], 'B': [1, 1, 1, 1, 1, 1, 1, 1], 'Bu': [1, 1, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 16], [3, 5], [5, 2], [7, 1], [17, 1]], 'ambient_gens': [[[0, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0], [1, 0, 0, 1, 1, 0, 1, 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], [1, 0, 0, 0, 1, 0, 1, 1]]], 'ambient_name': '$Sp_8(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 47377612800, 'bezout_det': 1, 'degree': 8, 'ell': 2, 'family': 'A10.10_B1.1.1.1.1.1.1.1', 'isotropic_dim': 4, 'monodromy_factored_index': [[2, 9], [3, 3], [7, 1], [17, 1]], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2]], 'monodromy_gens': [[[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, 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], [1, 0, 1, 0, 1, 0, 1, 0]], [[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, 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], [1, 0, 0, 0, 0, 0, 0, 0]]], 'monodromy_index': 1645056, 'monodromy_order': 28800, 'radical_dim': 0, 'type': 1, 'weight': 7, 'witt_index': 4}
89. id: 89
    {'A': [10, 10], 'Au': [10, 10], 'B': [1, 1, 1, 1, 1, 1, 1, 1], 'Bu': [1, 1, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 15], [3, 16], [5, 2], [7, 1], [13, 1], [41, 1]], 'ambient_gens': [[[1, 1, 2, 2, 2, 1, 0, 0], [2, 2, 0, 0, 2, 0, 0, 2], [0, 1, 0, 2, 2, 0, 2, 0], [2, 1, 1, 0, 2, 1, 1, 2], [2, 1, 1, 0, 0, 1, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 1, 1, 0, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 2]], [[2, 1, 0, 1, 2, 1, 2, 1], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 1, 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, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]]], 'ambient_name': '$Sp_8(mathbb{F}_3)_0^0$', 'ambient_order': 131569513308979200, 'bezout_det': 1, 'degree': 8, 'ell': 3, 'family': 'A10.10_B1.1.1.1.1.1.1.1', 'isotropic_dim': 4, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 15], [3, 16], [5, 2], [7, 1], [13, 1], [41, 1]], 'monodromy_gens': [[[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, 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], [2, 2, 0, 1, 1, 1, 0, 2]], [[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, 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], [2, 2, 2, 2, 2, 2, 2, 2]]], 'monodromy_index': 1, 'monodromy_order': 131569513308979200, 'radical_dim': 0, 'type': 1, 'weight': 7, 'witt_index': 4}
90. id: 90
    {'A': [10, 10], 'Au': [2, 2, 2, 2, 2, 2, 2, 2], 'B': [1, 1, 1, 1, 1, 1, 1, 1], 'Bu': [1, 1, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 15], [3, 5], [5, 16], [7, 1], [13, 2], [31, 1], [313, 1]], 'ambient_gens': [[[2, 0, 2, 0, 3, 0, 1, 0], [0, 3, 0, 4, 0, 4, 0, 2], [0, 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], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[1, 1, 0, 3, 0, 2, 0, 1], [0, 0, 0, 4, 0, 2, 0, 0], [0, 2, 0, 1, 0, 4, 0, 2], [0, 0, 0, 3, 0, 3, 0, 4], [0, 0, 2, 0, 0, 0, 0, 0], [3, 0, 1, 0, 4, 0, 3, 0], [0, 0, 1, 0, 1, 0, 0, 0], [4, 0, 3, 4, 2, 2, 4, 2]]], 'ambient_name': '$Sp_8(mathbb{F}_5)_0^0$', 'ambient_order': 13946558535000000000000000, 'bezout_det': 1, 'degree': 8, 'ell': 5, 'family': 'A10.10_B1.1.1.1.1.1.1.1', 'isotropic_dim': 4, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 15], [3, 5], [5, 16], [7, 1], [13, 2], [31, 1], [313, 1]], 'monodromy_gens': [[[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, 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], [4, 2, 2, 4, 0, 4, 2, 2]], [[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, 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], [4, 3, 2, 1, 0, 1, 2, 3]]], 'monodromy_index': 1, 'monodromy_order': 13946558535000000000000000, 'radical_dim': 0, 'type': 1, 'weight': 7, 'witt_index': 4}
91. id: 91
    {'A': [10, 10], 'Au': [5, 5], 'B': [1, 1, 1, 1, 1, 1, 1, 2], 'Bu': [1, 1, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 13], [3, 5], [5, 2], [7, 1]], 'ambient_gens': [[[0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 0, 0, 1, 1, 0], [1, 0, 0, 1, 0, 0, 1, 1], [0, 1, 0, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, 1, 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, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0]]], 'ambient_name': '$O_8(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 348364800, 'bezout_det': 1, 'degree': 8, 'ell': 2, 'family': 'A10.10_B1.1.1.1.1.1.1.2', 'isotropic_dim': 4, 'monodromy_factored_index': [[2, 6], [3, 3], [7, 1]], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2]], 'monodromy_gens': [[[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, 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], [1, 0, 1, 0, 1, 0, 1, 0]], [[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, 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], [1, 0, 0, 0, 0, 0, 0, 0]]], 'monodromy_index': 12096, 'monodromy_order': 28800, 'radical_dim': 0, 'type': 0, 'weight': 6, 'witt_index': 4}
92. id: 92
    {'A': [10, 10], 'Au': [10, 10], 'B': [1, 1, 1, 1, 1, 1, 1, 2], 'Bu': [2, 1, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 15], [3, 12], [5, 2], [7, 1], [13, 1]], 'ambient_gens': [[[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 2, 2, 2, 2, 2, 2], [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, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[2, 1, 0, 0, 1, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 2, 0, 0, 0], [1, 0, 0, 1, 2, 1, 2, 0], [0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0], [0, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 2, 1, 0, 1]], [[1, 2, 1, 1, 2, 0, 0, 1], [0, 0, 0, 0, 0, 2, 0, 1], [1, 0, 2, 0, 0, 2, 0, 1], [0, 1, 0, 0, 1, 1, 2, 0], [0, 1, 0, 0, 1, 0, 0, 0], [2, 0, 0, 0, 2, 0, 0, 2], [2, 1, 1, 1, 2, 2, 1, 0], [2, 2, 2, 0, 1, 2, 0, 0]], [[0, 0, 0, 0, 0, 2, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 2, 0, 0, 0], [1, 0, 0, 1, 2, 1, 2, 0], [0, 0, 0, 0, 2, 0, 0, 0], [2, 0, 0, 0, 2, 0, 1, 0], [0, 0, 0, 0, 2, 0, 1, 0], [2, 0, 0, 0, 1, 2, 1, 1]]], 'ambient_name': '$O_8(mathbb{F}_3)_0^0$', 'ambient_order': 39617438515200, 'bezout_det': 1, 'degree': 8, 'ell': 3, 'family': 'A10.10_B1.1.1.1.1.1.1.2', 'isotropic_dim': 4, 'monodromy_factored_index': [[2, 1]], 'monodromy_factored_order': [[2, 14], [3, 12], [5, 2], [7, 1], [13, 1]], 'monodromy_gens': [[[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, 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], [1, 0, 2, 1, 0, 2, 1, 0]], [[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, 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], [2, 2, 0, 1, 1, 1, 0, 2]]], 'monodromy_index': 2, 'monodromy_order': 19808719257600, 'radical_dim': 0, 'type': 0, 'weight': 6, 'witt_index': 4}
93. id: 93
    {'A': [10, 10], 'Au': [2, 2, 2, 2, 2, 2, 2], 'B': [1, 1, 1, 1, 1, 1, 1, 2], 'Bu': [1, 1, 1, 1, 1, 1, 1], 'Cu': [2], 'ambient_factored_order': [[2, 13], [3, 4], [5, 16], [7, 1], [13, 1], [31, 1]], 'ambient_gens': [[[2, 0, 0, 0, 0, 0, 0, 0], [4, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0], [4, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0], [4, 0, 0, 0, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0], [4, 0, 0, 0, 0, 0, 0, 1]], [[2, 1, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0], [4, 4, 0, 1, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0], [4, 4, 0, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 0, 1, 0], [4, 4, 0, 0, 0, 0, 0, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [4, 3, 0, 1, 3, 1, 2, 0], [4, 2, 2, 2, 1, 4, 1, 4], [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, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [3, 4, 0, 2, 2, 3, 0, 2], [1, 0, 0, 3, 2, 1, 3, 1], [1, 0, 0, 1, 3, 1, 1, 4], [3, 4, 1, 1, 4, 2, 4, 4], [3, 0, 0, 0, 0, 1, 3, 1], [2, 0, 1, 3, 4, 3, 0, 0], [1, 2, 2, 2, 1, 1, 4, 4]], [[1, 0, 0, 0, 0, 0, 0, 0], [4, 3, 1, 2, 1, 4, 1, 4], [4, 2, 2, 2, 1, 4, 1, 4], [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, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]]], 'ambient_name': '$O_8(mathbb{F}_5)_1^1$', 'ambient_order': 285626250000000000000, 'bezout_det': 0, 'degree': 8, 'ell': 5, 'family': 'A10.10_B1.1.1.1.1.1.1.2', 'isotropic_dim': 4, 'monodromy_factored_index': [[2, 2]], 'monodromy_factored_order': [[2, 11], [3, 4], [5, 16], [7, 1], [13, 1], [31, 1]], 'monodromy_gens': [[[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, 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], [1, 4, 4, 1, 0, 4, 1, 1]], [[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, 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], [4, 2, 2, 4, 0, 4, 2, 2]]], 'monodromy_index': 4, 'monodromy_order': 71406562500000000000, 'radical_dim': 1, 'type': 0, 'weight': 6, 'witt_index': 3}
94. id: 94
    {'A': [10, 10], 'Au': [5, 5], 'B': [1, 1, 1, 1, 1, 1, 2, 2], 'Bu': [1, 1, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 16], [3, 5], [5, 2], [7, 1], [17, 1]], 'ambient_gens': [[[0, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0]], [[1, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0], [1, 0, 0, 1, 1, 0, 1, 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], [1, 0, 0, 0, 1, 0, 1, 1]]], 'ambient_name': '$Sp_8(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 47377612800, 'bezout_det': 1, 'degree': 8, 'ell': 2, 'family': 'A10.10_B1.1.1.1.1.1.2.2', 'isotropic_dim': 4, 'monodromy_factored_index': [[2, 9], [3, 3], [7, 1], [17, 1]], 'monodromy_factored_order': [[2, 7], [3, 2], [5, 2]], 'monodromy_gens': [[[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, 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], [1, 0, 1, 0, 1, 0, 1, 0]], [[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, 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], [1, 0, 0, 0, 0, 0, 0, 0]]], 'monodromy_index': 1645056, 'monodromy_order': 28800, 'radical_dim': 0, 'type': 1, 'weight': 5, 'witt_index': 4}
95. id: 95
    {'A': [10, 10], 'Au': [10, 10], 'B': [1, 1, 1, 1, 1, 1, 2, 2], 'Bu': [2, 2, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 15], [3, 16], [5, 2], [7, 1], [13, 1], [41, 1]], 'ambient_gens': [[[1, 2, 1, 0, 2, 1, 2, 2], [1, 0, 0, 1, 2, 0, 0, 2], [0, 2, 2, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 0, 2, 1], [2, 0, 0, 0, 0, 0, 1, 2], [0, 1, 2, 0, 1, 2, 1, 1], [1, 0, 0, 0, 1, 0, 2, 1], [2, 0, 0, 1, 0, 1, 1, 2]], [[2, 0, 1, 2, 0, 0, 0, 2], [0, 2, 1, 2, 0, 2, 1, 1], [0, 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], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]]], 'ambient_name': '$Sp_8(mathbb{F}_3)_0^0$', 'ambient_order': 131569513308979200, 'bezout_det': 1, 'degree': 8, 'ell': 3, 'family': 'A10.10_B1.1.1.1.1.1.2.2', 'isotropic_dim': 4, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 15], [3, 16], [5, 2], [7, 1], [13, 1], [41, 1]], 'monodromy_gens': [[[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, 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], [2, 2, 0, 1, 1, 1, 0, 2]], [[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, 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], [2, 1, 2, 2, 1, 2, 2, 1]]], 'monodromy_index': 1, 'monodromy_order': 131569513308979200, 'radical_dim': 0, 'type': 1, 'weight': 5, 'witt_index': 4}
96. id: 96
    {'A': [10, 10], 'Au': [2, 2, 2, 2, 2, 2], 'B': [1, 1, 1, 1, 1, 1, 2, 2], 'Bu': [1, 1, 1, 1, 1, 1], 'Cu': [2, 2], 'ambient_factored_order': [[2, 15], [3, 5], [5, 22], [7, 1], [13, 1], [31, 1]], 'ambient_gens': [[[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 4, 2, 0, 0, 0, 4, 1], [0, 0, 0, 1, 0, 0, 0, 0], [4, 3, 0, 0, 3, 1, 1, 3], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]], [[2, 2, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [4, 3, 0, 0, 0, 0, 0, 0], [2, 4, 2, 1, 0, 0, 0, 0], [2, 4, 2, 0, 1, 0, 0, 0], [4, 3, 4, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [1, 2, 1, 0, 0, 0, 0, 1]], [[2, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [4, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 1, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 0], [4, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1]], [[4, 4, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [0, 3, 1, 0, 0, 0, 0, 0], [4, 0, 0, 1, 0, 0, 0, 0], [2, 2, 0, 0, 1, 0, 0, 0], [2, 1, 0, 0, 0, 1, 0, 0], [4, 1, 0, 0, 0, 0, 1, 0], [0, 2, 0, 0, 0, 0, 0, 1]], [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 4, 3, 0, 2, 1], [1, 1, 2, 0, 0, 2, 4, 0], [4, 0, 0, 3, 2, 3, 2, 1], [4, 1, 4, 2, 4, 0, 2, 2], [3, 0, 4, 2, 4, 1, 3, 0], [0, 3, 4, 3, 1, 3, 3, 0]]], 'ambient_name': '$Sp_8(mathbb{F}_5)_2^1$', 'ambient_order': 53554921875000000000000000, 'bezout_det': 0, 'degree': 8, 'ell': 5, 'family': 'A10.10_B1.1.1.1.1.1.2.2', 'isotropic_dim': 5, 'monodromy_factored_index': [[2, 4], [3, 1]], 'monodromy_factored_order': [[2, 11], [3, 4], [5, 22], [7, 1], [13, 1], [31, 1]], 'monodromy_gens': [[[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, 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], [4, 4, 1, 1, 0, 1, 1, 4]], [[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, 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], [4, 2, 2, 4, 0, 4, 2, 2]]], 'monodromy_index': 48, 'monodromy_order': 1115727539062500000000000, 'radical_dim': 2, 'type': 1, 'weight': 5, 'witt_index': 3}
97. id: 97
    {'A': [10, 10], 'Au': [5, 5], 'B': [1, 1, 1, 1, 1, 1, 3], 'Bu': [3, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 16], [3, 5], [5, 2], [7, 1], [17, 1]], 'ambient_gens': [[[0, 0, 0, 1, 0, 1, 0, 1], [1, 1, 0, 0, 0, 1, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 0, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 1, 0, 0]], [[0, 1, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0], [1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 0, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 0]]], 'ambient_name': '$Sp_8(mathbb{F}_2)_0^{0,0}$', 'ambient_order': 47377612800, 'bezout_det': 1, 'degree': 8, 'ell': 2, 'family': 'A10.10_B1.1.1.1.1.1.3', 'isotropic_dim': 4, 'monodromy_factored_index': [[2, 3], [17, 1]], 'monodromy_factored_order': [[2, 13], [3, 5], [5, 2], [7, 1]], 'monodromy_gens': [[[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, 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], [1, 0, 1, 0, 1, 0, 1, 0]], [[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, 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], [1, 1, 0, 1, 0, 1, 0, 1]]], 'monodromy_index': 136, 'monodromy_order': 348364800, 'radical_dim': 0, 'type': 1, 'weight': 5, 'witt_index': 4}
98. id: 98
    {'A': [10, 10], 'Au': [10, 10], 'B': [1, 1, 1, 1, 1, 1, 3], 'Bu': [1, 1, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 15], [3, 16], [5, 2], [7, 1], [13, 1], [41, 1]], 'ambient_gens': [[[1, 1, 2, 2, 2, 1, 0, 0], [2, 2, 0, 0, 2, 0, 0, 2], [0, 1, 0, 2, 2, 0, 2, 0], [2, 1, 1, 0, 2, 1, 1, 2], [2, 1, 1, 0, 0, 1, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 1, 1, 0, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 2]], [[2, 1, 0, 1, 2, 1, 2, 1], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 1, 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, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]]], 'ambient_name': '$Sp_8(mathbb{F}_3)_0^0$', 'ambient_order': 131569513308979200, 'bezout_det': 1, 'degree': 8, 'ell': 3, 'family': 'A10.10_B1.1.1.1.1.1.3', 'isotropic_dim': 4, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 15], [3, 16], [5, 2], [7, 1], [13, 1], [41, 1]], 'monodromy_gens': [[[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, 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], [2, 2, 0, 1, 1, 1, 0, 2]], [[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, 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], [2, 2, 2, 2, 2, 2, 2, 2]]], 'monodromy_index': 1, 'monodromy_order': 131569513308979200, 'radical_dim': 0, 'type': 1, 'weight': 5, 'witt_index': 4}
99. id: 99
    {'A': [10, 10], 'Au': [2, 2, 2, 2, 2, 2, 2, 2], 'B': [1, 1, 1, 1, 1, 1, 3], 'Bu': [3, 1, 1, 1, 1, 1, 1], 'Cu': [], 'ambient_factored_order': [[2, 15], [3, 5], [5, 16], [7, 1], [13, 2], [31, 1], [313, 1]], 'ambient_gens': [[[1, 3, 2, 4, 3, 0, 4, 4], [0, 2, 0, 1, 4, 3, 4, 4], [4, 0, 1, 2, 4, 1, 4, 1], [1, 3, 1, 2, 4, 4, 0, 3], [0, 2, 1, 2, 2, 0, 1, 1], [0, 3, 0, 2, 3, 0, 4, 4], [4, 4, 4, 0, 4, 3, 1, 3], [3, 0, 3, 2, 4, 1, 3, 2]], [[2, 0, 4, 3, 1, 4, 1, 4], [0, 3, 2, 3, 0, 3, 2, 2], [0, 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], [0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1]]], 'ambient_name': '$Sp_8(mathbb{F}_5)_0^0$', 'ambient_order': 13946558535000000000000000, 'bezout_det': 1, 'degree': 8, 'ell': 5, 'family': 'A10.10_B1.1.1.1.1.1.3', 'isotropic_dim': 4, 'monodromy_factored_index': [], 'monodromy_factored_order': [[2, 15], [3, 5], [5, 16], [7, 1], [13, 2], [31, 1], [313, 1]], 'monodromy_gens': [[[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, 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], [4, 0, 0, 1, 0, 1, 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, 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, 0, 0, 0, 0, 0, 1], [4, 2, 2, 4, 0, 4, 2, 2]]], 'monodromy_index': 1, 'monodromy_order': 13946558535000000000000000, 'radical_dim': 0, 'type': 1, 'weight': 5, 'witt_index': 4}