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mf_newforms • Show schema
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{'Nk2': 463, 'analytic_conductor': 0.2310671008490801, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 14, 'artin_field': [1, 11, -9, 8, -7, 7, -3, 1], 'artin_field_label': '7.1.99252847.1', 'artin_image': '14.1', 'char_conductor': 463, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [463, 2, [3], [1]], 'cm_discs': [-463], 'conrey_index': 462, 'conrey_indexes': [462], 'dim': 3, 'embedded_related_objects': [['ArtinRepresentation/2.463.7t2.1c3'], ['ArtinRepresentation/2.463.7t2.1c1'], ['ArtinRepresentation/2.463.7t2.1c2']], 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'has_non_self_twist': 0, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68736254415, 'hecke_ring_generator_nbound': 2, 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mf_hecke_nf • Show schema
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1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '463.1.b.a', 'level': 463, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 463, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.2310671008490801, 'char_conductor': 463, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [463, 2, [3], [1]], 'conrey_index': 462, 'cusp_dim': 3, 'dihedral_dim': 3, 'dim': 3, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_orbit_code': 68736254415, 'hecke_orbit_dims': [3], 'label': '463.1.b', 'level': 463, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [463], 'level_radical': 463, 'mf_dim': 4, 'mf_new_dim': 4, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 3, 's4_dim': 0, 'sturm_bound': 38, 'trace_bound': 0, 'trace_display': [-1, 0, 0, 0], 'traces': [3, -1, 0, 2, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 0, 1, -1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, -1, 0, -1, -3, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 3, -1, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, -1, -2, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 337371
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 3, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '463.1.b.a', 'source_level': 463, 'target_char_orbit': 2, 'target_dim': 3, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '463.1.b.a', 'target_level': 463, 'twist_class_label': '463.1.b.a', 'twist_class_level': 463, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 337372
{'conductor': 463, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -463, 'source_char_orbit': 2, 'source_dim': 3, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '463.1.b.a', 'source_level': 463, 'target_char_orbit': 2, 'target_dim': 3, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '463.1.b.a', 'target_level': 463, 'twist_class_label': '463.1.b.a', 'twist_class_level': 463, 'twisting_char_label': '463.b', 'twisting_char_orbit': 2, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 926300
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 2}
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id: 926301
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 3}
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id: 926302
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 5}
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id: 926303
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 7}
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id: 926304
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 11}
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id: 926305
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 13}
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id: 926306
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 17}
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id: 926307
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 19}
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id: 926308
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 23}
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id: 926309
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 29}
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id: 926310
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 31}
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id: 926311
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 37}
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id: 926312
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 41}
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id: 926313
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 43}
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id: 926314
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 47}
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id: 926315
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 53}
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id: 926316
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 59}
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id: 926317
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 61}
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id: 926318
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 67}
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id: 926319
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 71}
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id: 926320
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 73}
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id: 926321
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 79}
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id: 926322
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 68736254415, 'p': 83}
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id: 926323
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 89}
-
id: 926324
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 68736254415, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '463.1.b.a', 'level': 463, 'portrait': 'data:image/png;base64,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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 16622000
{'hecke_orbit_code': 68736254415, 'n': 1, 'trace_an': 3}
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id: 16622001
{'hecke_orbit_code': 68736254415, 'n': 2, 'trace_an': -1}
-
id: 16622002
{'hecke_orbit_code': 68736254415, 'n': 3, 'trace_an': 0}
-
id: 16622003
{'hecke_orbit_code': 68736254415, 'n': 4, 'trace_an': 2}
-
id: 16622004
{'hecke_orbit_code': 68736254415, 'n': 5, 'trace_an': 0}
-
id: 16622005
{'hecke_orbit_code': 68736254415, 'n': 6, 'trace_an': 0}
-
id: 16622006
{'hecke_orbit_code': 68736254415, 'n': 7, 'trace_an': 0}
-
id: 16622007
{'hecke_orbit_code': 68736254415, 'n': 8, 'trace_an': -2}
-
id: 16622008
{'hecke_orbit_code': 68736254415, 'n': 9, 'trace_an': 3}
-
id: 16622009
{'hecke_orbit_code': 68736254415, 'n': 10, 'trace_an': 0}
-
id: 16622010
{'hecke_orbit_code': 68736254415, 'n': 11, 'trace_an': 0}
-
id: 16622011
{'hecke_orbit_code': 68736254415, 'n': 12, 'trace_an': 0}
-
id: 16622012
{'hecke_orbit_code': 68736254415, 'n': 13, 'trace_an': 0}
-
id: 16622013
{'hecke_orbit_code': 68736254415, 'n': 14, 'trace_an': 0}
-
id: 16622014
{'hecke_orbit_code': 68736254415, 'n': 15, 'trace_an': 0}
-
id: 16622015
{'hecke_orbit_code': 68736254415, 'n': 16, 'trace_an': 1}
-
id: 16622016
{'hecke_orbit_code': 68736254415, 'n': 17, 'trace_an': -1}
-
id: 16622017
{'hecke_orbit_code': 68736254415, 'n': 18, 'trace_an': -1}
-
id: 16622018
{'hecke_orbit_code': 68736254415, 'n': 19, 'trace_an': 0}
-
id: 16622019
{'hecke_orbit_code': 68736254415, 'n': 20, 'trace_an': 0}
-
id: 16622020
{'hecke_orbit_code': 68736254415, 'n': 21, 'trace_an': 0}
-
id: 16622021
{'hecke_orbit_code': 68736254415, 'n': 22, 'trace_an': 0}
-
id: 16622022
{'hecke_orbit_code': 68736254415, 'n': 23, 'trace_an': 0}
-
id: 16622023
{'hecke_orbit_code': 68736254415, 'n': 24, 'trace_an': 0}
-
id: 16622024
{'hecke_orbit_code': 68736254415, 'n': 25, 'trace_an': 3}
-
id: 16622025
{'hecke_orbit_code': 68736254415, 'n': 26, 'trace_an': 0}
-
id: 16622026
{'hecke_orbit_code': 68736254415, 'n': 27, 'trace_an': 0}
-
id: 16622027
{'hecke_orbit_code': 68736254415, 'n': 28, 'trace_an': 0}
-
id: 16622028
{'hecke_orbit_code': 68736254415, 'n': 29, 'trace_an': -1}
-
id: 16622029
{'hecke_orbit_code': 68736254415, 'n': 30, 'trace_an': 0}
-
id: 16622030
{'hecke_orbit_code': 68736254415, 'n': 31, 'trace_an': -1}
-
id: 16622031
{'hecke_orbit_code': 68736254415, 'n': 32, 'trace_an': -3}
-
id: 16622032
{'hecke_orbit_code': 68736254415, 'n': 33, 'trace_an': 0}
-
id: 16622033
{'hecke_orbit_code': 68736254415, 'n': 34, 'trace_an': -2}
-
id: 16622034
{'hecke_orbit_code': 68736254415, 'n': 35, 'trace_an': 0}
-
id: 16622035
{'hecke_orbit_code': 68736254415, 'n': 36, 'trace_an': 2}
-
id: 16622036
{'hecke_orbit_code': 68736254415, 'n': 37, 'trace_an': 0}
-
id: 16622037
{'hecke_orbit_code': 68736254415, 'n': 38, 'trace_an': 0}
-
id: 16622038
{'hecke_orbit_code': 68736254415, 'n': 39, 'trace_an': 0}
-
id: 16622039
{'hecke_orbit_code': 68736254415, 'n': 40, 'trace_an': 0}
-
id: 16622040
{'hecke_orbit_code': 68736254415, 'n': 41, 'trace_an': 0}
-
id: 16622041
{'hecke_orbit_code': 68736254415, 'n': 42, 'trace_an': 0}
-
id: 16622042
{'hecke_orbit_code': 68736254415, 'n': 43, 'trace_an': -1}
-
id: 16622043
{'hecke_orbit_code': 68736254415, 'n': 44, 'trace_an': 0}
-
id: 16622044
{'hecke_orbit_code': 68736254415, 'n': 45, 'trace_an': 0}
-
id: 16622045
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