Database - nf_fields_extra (Additional data for displaying number field pages (not searchable))

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Query: /api/nf_fields_extra/?_offset=0

Column	Type
dirichlet_group	bigint[]
frobs	jsonb
label	text
res	jsonb
source	text
subfield_inclusions	smallint[]
torsion_gen	text
torsion_gen_coeffs	numeric[]
unit_signature_rank	smallint
units	jsonb
unitsGmodule	jsonb
unitsType	text
units_coeffs	numeric[]
zk	jsonb

0. label: 1.1.1.1
   {'dirichlet_group': [1], 'frobs': [[2, [[1, 1]]], [3, [[1, 1]]], [5, [[1, 1]]], [7, [[1, 1]]], [11, [[1, 1]]], [13, [[1, 1]]], [17, [[1, 1]]], [19, [[1, 1]]], [23, [[1, 1]]], [29, [[1, 1]]], [31, [[1, 1]]], [37, [[1, 1]]], [41, [[1, 1]]], [43, [[1, 1]]], [47, [[1, 1]]], [53, [[1, 1]]], [59, [[1, 1]]]], 'label': '1.1.1.1', 'res': {}, 'torsion_gen': '\\(-1\\)', 'torsion_gen_coeffs': [-1], 'unit_signature_rank': 1, 'units': [], 'zk': ['1']}
1. label: 2.0.3.1
   {'dirichlet_group': [1, 2], 'frobs': [[2, [[2, 1]]], [3, [0]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.3.1', 'res': {}, 'torsion_gen': '\\( a \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
2. label: 2.0.4.1
   {'dirichlet_group': [1, 3], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.4.1', 'res': {}, 'torsion_gen': '\\( a \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
3. label: 2.2.5.1
   {'dirichlet_group': [1, 4], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [0]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.5.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( a \\)'], 'zk': ['1', 'a']}
4. label: 2.0.7.1
   {'dirichlet_group': [1, 6], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [0]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.7.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
5. label: 2.0.8.1
   {'dirichlet_group': [1, 3], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.8.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
6. label: 2.2.8.1
   {'dirichlet_group': [1, 5], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.8.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( a + 1 \\)'], 'zk': ['1', 'a']}
7. label: 2.0.11.1
   {'dirichlet_group': [1, 10], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [0]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.11.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
8. label: 2.2.12.1
   {'dirichlet_group': [1, 11], 'frobs': [[2, [0]], [3, [0]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.12.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( a - 2 \\)'], 'zk': ['1', 'a']}
9. label: 2.2.13.1
   {'dirichlet_group': [1, 12], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [0]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.13.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( a + 1 \\)'], 'zk': ['1', 'a']}
10. label: 2.0.15.1
    {'dirichlet_group': [1, 14], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [0]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.15.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
11. label: 2.2.17.1
    {'dirichlet_group': [1, 16], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [0]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.2.17.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 2 a + 3 \\)'], 'zk': ['1', 'a']}
12. label: 2.0.19.1
    {'dirichlet_group': [1, 18], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [0]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.19.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
13. label: 2.0.20.1
    {'dirichlet_group': [1, 19], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.20.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
14. label: 2.2.21.1
    {'dirichlet_group': [1, 20], 'frobs': [[2, [[2, 1]]], [3, [0]], [5, [[1, 2]]], [7, [0]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.21.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( a + 2 \\)'], 'zk': ['1', 'a']}
15. label: 2.0.23.1
    {'dirichlet_group': [1, 22], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [0]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.23.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
16. label: 2.0.24.1
    {'dirichlet_group': [1, 5], 'frobs': [[2, [0]], [3, [0]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.24.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
17. label: 2.2.24.1
    {'dirichlet_group': [1, 11], 'frobs': [[2, [0]], [3, [0]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.24.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 2 a + 5 \\)'], 'zk': ['1', 'a']}
18. label: 2.2.28.1
    {'dirichlet_group': [1, 27], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [0]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.2.28.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 3 a - 8 \\)'], 'zk': ['1', 'a']}
19. label: 2.2.29.1
    {'dirichlet_group': [1, 28], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [0]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.2.29.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( a + 2 \\)'], 'zk': ['1', 'a']}
20. label: 2.0.31.1
    {'dirichlet_group': [1, 30], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [0]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.31.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
21. label: 2.2.33.1
    {'dirichlet_group': [1, 32], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [0]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.33.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 8 a + 19 \\)'], 'zk': ['1', 'a']}
22. label: 2.0.35.1
    {'dirichlet_group': [1, 34], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [0]], [7, [0]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.35.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
23. label: 2.2.37.1
    {'dirichlet_group': [1, 36], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [0]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.37.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 2 a + 5 \\)'], 'zk': ['1', 'a']}
24. label: 2.0.39.1
    {'dirichlet_group': [1, 38], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [0]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.39.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
25. label: 2.0.40.1
    {'dirichlet_group': [1, 19], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [0]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.40.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
26. label: 2.2.40.1
    {'dirichlet_group': [1, 29], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [0]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.40.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( a + 3 \\)'], 'zk': ['1', 'a']}
27. label: 2.2.41.1
    {'dirichlet_group': [1, 40], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [0]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.41.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 10 a + 27 \\)'], 'zk': ['1', 'a']}
28. label: 2.0.43.1
    {'dirichlet_group': [1, 42], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [0]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.43.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
29. label: 2.2.44.1
    {'dirichlet_group': [1, 43], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [0]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.44.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 3 a + 10 \\)'], 'zk': ['1', 'a']}
30. label: 2.0.47.1
    {'dirichlet_group': [1, 46], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [0]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.47.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
31. label: 2.0.51.1
    {'dirichlet_group': [1, 50], 'frobs': [[2, [[2, 1]]], [3, [0]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [0]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.51.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
32. label: 2.0.52.1
    {'dirichlet_group': [1, 51], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [0]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.52.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
33. label: 2.2.53.1
    {'dirichlet_group': [1, 52], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [0]], [59, [[1, 2]]]], 'label': '2.2.53.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( a + 3 \\)'], 'zk': ['1', 'a']}
34. label: 2.0.55.1
    {'dirichlet_group': [1, 54], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [0]], [7, [[1, 2]]], [11, [0]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.55.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
35. label: 2.0.56.1
    {'dirichlet_group': [1, 13], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [0]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.56.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
36. label: 2.2.56.1
    {'dirichlet_group': [1, 27], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [0]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.56.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 4 a - 15 \\)'], 'zk': ['1', 'a']}
37. label: 2.2.57.1
    {'dirichlet_group': [1, 56], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [0]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.2.57.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 40 a + 131 \\)'], 'zk': ['1', 'a']}
38. label: 2.0.59.1
    {'dirichlet_group': [1, 58], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [0]]], 'label': '2.0.59.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
39. label: 2.2.60.1
    {'dirichlet_group': [1, 59], 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.2.60.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( a + 4 \\)'], 'zk': ['1', 'a']}
40. label: 2.2.61.1
    {'dirichlet_group': [1, 60], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.61.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 5 a + 17 \\)'], 'zk': ['1', 'a']}
41. label: 2.2.65.1
    {'dirichlet_group': [1, 64], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [0]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.65.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 2 a + 7 \\)'], 'zk': ['1', 'a']}
42. label: 2.0.67.1
    {'dirichlet_group': [1, 66], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.67.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
43. label: 2.0.68.1
    {'dirichlet_group': [1, 67], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [0]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.68.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
44. label: 2.2.69.1
    {'dirichlet_group': [1, 68], 'frobs': [[2, [[2, 1]]], [3, [0]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [0]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.69.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 3 a + 11 \\)'], 'zk': ['1', 'a']}
45. label: 2.0.71.1
    {'dirichlet_group': [1, 70], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.71.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
46. label: 2.2.73.1
    {'dirichlet_group': [1, 72], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.73.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 250 a + 943 \\)'], 'zk': ['1', 'a']}
47. label: 2.2.76.1
    {'dirichlet_group': [1, 75], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [0]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.76.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 39 a + 170 \\)'], 'zk': ['1', 'a']}
48. label: 2.2.77.1
    {'dirichlet_group': [1, 76], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [0]], [11, [0]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.77.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( a + 4 \\)'], 'zk': ['1', 'a']}
49. label: 2.0.79.1
    {'dirichlet_group': [1, 78], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.79.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
50. label: 2.0.83.1
    {'dirichlet_group': [1, 82], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.83.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
51. label: 2.0.84.1
    {'dirichlet_group': [1, 83], 'frobs': [[2, [0]], [3, [0]], [5, [[1, 2]]], [7, [0]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.84.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
52. label: 2.2.85.1
    {'dirichlet_group': [1, 84], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [0]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.85.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( a + 4 \\)'], 'zk': ['1', 'a']}
53. label: 2.0.87.1
    {'dirichlet_group': [1, 86], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [0]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.87.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
54. label: 2.0.88.1
    {'dirichlet_group': [1, 21], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [0]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.88.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
55. label: 2.2.88.1
    {'dirichlet_group': [1, 43], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [0]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.88.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 42 a - 197 \\)'], 'zk': ['1', 'a']}
56. label: 2.2.89.1
    {'dirichlet_group': [1, 88], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.89.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 106 a + 447 \\)'], 'zk': ['1', 'a']}
57. label: 2.0.91.1
    {'dirichlet_group': [1, 90], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [0]], [11, [[2, 1]]], [13, [0]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.91.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
58. label: 2.2.92.1
    {'dirichlet_group': [1, 91], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [0]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.92.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 5 a - 24 \\)'], 'zk': ['1', 'a']}
59. label: 2.2.93.1
    {'dirichlet_group': [1, 92], 'frobs': [[2, [[2, 1]]], [3, [0]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [0]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.93.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 3 a + 13 \\)'], 'zk': ['1', 'a']}
60. label: 2.0.95.1
    {'dirichlet_group': [1, 94], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [0]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [0]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.95.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
61. label: 2.2.97.1
    {'dirichlet_group': [1, 96], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.97.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 1138 a + 5035 \\)'], 'zk': ['1', 'a']}
62. label: 2.2.101.1
    {'dirichlet_group': [1, 100], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.101.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 2 a + 9 \\)'], 'zk': ['1', 'a']}
63. label: 2.0.103.1
    {'dirichlet_group': [1, 102], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.103.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
64. label: 2.0.104.1
    {'dirichlet_group': [1, 51], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [0]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.104.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
65. label: 2.2.104.1
    {'dirichlet_group': [1, 77], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [0]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.104.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( a - 5 \\)'], 'zk': ['1', 'a']}
66. label: 2.2.105.1
    {'dirichlet_group': [1, 104], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [0]], [7, [0]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.2.105.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 8 a + 37 \\)'], 'zk': ['1', 'a']}
67. label: 2.0.107.1
    {'dirichlet_group': [1, 106], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.107.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
68. label: 2.2.109.1
    {'dirichlet_group': [1, 108], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.109.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 25 a + 118 \\)'], 'zk': ['1', 'a']}
69. label: 2.0.111.1
    {'dirichlet_group': [1, 110], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [0]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.111.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
70. label: 2.2.113.1
    {'dirichlet_group': [1, 112], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.113.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 146 a + 703 \\)'], 'zk': ['1', 'a']}
71. label: 2.0.115.1
    {'dirichlet_group': [1, 114], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [0]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.115.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
72. label: 2.0.116.1
    {'dirichlet_group': [1, 115], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [0]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.116.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
73. label: 2.0.119.1
    {'dirichlet_group': [1, 118], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [0]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [0]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.119.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
74. label: 2.0.120.1
    {'dirichlet_group': [1, 29], 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.120.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
75. label: 2.2.120.1
    {'dirichlet_group': [1, 59], 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.120.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 2 a - 11 \\)'], 'zk': ['1', 'a']}
76. label: 2.0.123.1
    {'dirichlet_group': [1, 122], 'frobs': [[2, [[2, 1]]], [3, [0]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [0]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.123.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
77. label: 2.2.124.1
    {'dirichlet_group': [1, 123], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [0]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.124.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 273 a - 1520 \\)'], 'zk': ['1', 'a']}
78. label: 2.0.127.1
    {'dirichlet_group': [1, 126], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.127.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
79. label: 2.2.129.1
    {'dirichlet_group': [1, 128], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [0]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.129.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 2968 a + 15371 \\)'], 'zk': ['1', 'a']}
80. label: 2.0.131.1
    {'dirichlet_group': [1, 130], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.131.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
81. label: 2.0.132.1
    {'dirichlet_group': [1, 131], 'frobs': [[2, [0]], [3, [0]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [0]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.132.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
82. label: 2.2.133.1
    {'dirichlet_group': [1, 132], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [0]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [0]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.133.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 15 a + 79 \\)'], 'zk': ['1', 'a']}
83. label: 2.0.136.1
    {'dirichlet_group': [1, 67], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [0]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.136.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
84. label: 2.2.136.1
    {'dirichlet_group': [1, 101], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [0]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.136.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 6 a - 35 \\)'], 'zk': ['1', 'a']}
85. label: 2.2.137.1
    {'dirichlet_group': [1, 136], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.137.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 298 a + 1595 \\)'], 'zk': ['1', 'a']}
86. label: 2.0.139.1
    {'dirichlet_group': [1, 138], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.0.139.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
87. label: 2.2.140.1
    {'dirichlet_group': [1, 139], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [0]], [7, [0]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.140.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( a + 6 \\)'], 'zk': ['1', 'a']}
88. label: 2.2.141.1
    {'dirichlet_group': [1, 140], 'frobs': [[2, [[2, 1]]], [3, [0]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [0]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.141.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 16 a + 87 \\)'], 'zk': ['1', 'a']}
89. label: 2.0.143.1
    {'dirichlet_group': [1, 142], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [0]], [13, [0]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.0.143.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
90. label: 2.2.145.1
    {'dirichlet_group': [1, 144], 'frobs': [[2, [[1, 2]]], [3, [[1, 2]]], [5, [0]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[2, 1]]], [23, [[2, 1]]], [29, [0]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.2.145.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 2 a + 11 \\)'], 'zk': ['1', 'a']}
91. label: 2.0.148.1
    {'dirichlet_group': [1, 147], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [0]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.148.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
92. label: 2.2.149.1
    {'dirichlet_group': [1, 148], 'frobs': [[2, [[2, 1]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.149.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 5 a + 28 \\)'], 'zk': ['1', 'a']}
93. label: 2.0.151.1
    {'dirichlet_group': [1, 150], 'frobs': [[2, [[1, 2]]], [3, [[2, 1]]], [5, [[1, 2]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[2, 1]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[1, 2]]]], 'label': '2.0.151.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
94. label: 2.0.152.1
    {'dirichlet_group': [1, 37], 'frobs': [[2, [0]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [0]], [23, [[1, 2]]], [29, [[1, 2]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.152.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
95. label: 2.2.152.1
    {'dirichlet_group': [1, 75], 'frobs': [[2, [0]], [3, [[2, 1]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [0]], [23, [[2, 1]]], [29, [[1, 2]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[2, 1]]]], 'label': '2.2.152.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 6 a - 37 \\)'], 'zk': ['1', 'a']}
96. label: 2.0.155.1
    {'dirichlet_group': [1, 154], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [0]], [7, [[2, 1]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [0]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [[1, 2]]], [59, [[1, 2]]]], 'label': '2.0.155.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}
97. label: 2.2.156.1
    {'dirichlet_group': [1, 155], 'frobs': [[2, [0]], [3, [0]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [0]], [17, [[2, 1]]], [19, [[1, 2]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[2, 1]]], [41, [[1, 2]]], [43, [[2, 1]]], [47, [[2, 1]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.156.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 1, 'units': ['\\( 4 a - 25 \\)'], 'zk': ['1', 'a']}
98. label: 2.2.157.1
    {'dirichlet_group': [1, 156], 'frobs': [[2, [[2, 1]]], [3, [[1, 2]]], [5, [[2, 1]]], [7, [[2, 1]]], [11, [[1, 2]]], [13, [[1, 2]]], [17, [[1, 2]]], [19, [[1, 2]]], [23, [[2, 1]]], [29, [[2, 1]]], [31, [[1, 2]]], [37, [[1, 2]]], [41, [[2, 1]]], [43, [[2, 1]]], [47, [[1, 2]]], [53, [[2, 1]]], [59, [[2, 1]]]], 'label': '2.2.157.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 2, 'units': ['\\( 17 a + 98 \\)'], 'zk': ['1', 'a']}
99. label: 2.0.159.1
    {'dirichlet_group': [1, 158], 'frobs': [[2, [[1, 2]]], [3, [0]], [5, [[1, 2]]], [7, [[1, 2]]], [11, [[2, 1]]], [13, [[1, 2]]], [17, [[2, 1]]], [19, [[2, 1]]], [23, [[1, 2]]], [29, [[2, 1]]], [31, [[2, 1]]], [37, [[1, 2]]], [41, [[1, 2]]], [43, [[1, 2]]], [47, [[2, 1]]], [53, [0]], [59, [[2, 1]]]], 'label': '2.0.159.1', 'res': {}, 'torsion_gen': '\\( -1 \\)', 'unit_signature_rank': 0, 'units': [], 'zk': ['1', 'a']}