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mf_newforms • Show schema
{'Nk2': 7220, 'analytic_conductor': 14.41299756484111, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [19, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1805, 1, [362, 1446], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 2000, 'field_disc_factorization': [[2, 4], [5, 3]], 'field_poly': [5, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 20, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [5, 0, -5, 0, 1]], [3, [5, 0, -5, 0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934631693, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1805.2.a.l', 'level': 1805, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '1805.2.a.l', 'nf_label': '4.4.2000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{1}q^{3}+(1+\\beta _{2})q^{4}-q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1805.2.a', 'trace_display': [0, 0, -4, -8], 'trace_hash': 801064477104425623, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.880', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'ALdims': [23, 33, 33, 24], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [9, 10, 10, 10], 'ALdims_old': [13, 17, 12, 16], 'Nk2': 7220, 'analytic_conductor': 14.41299756484111, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1805, 1, [362, 1446], [1, 1]], 'conrey_index': 1, 'cusp_dim': 171, 'dim': 113, 'eis_dim': 39, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33556237, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 9, 9, 9, 9, 16], 'label': '1805.2.a', 'level': 1805, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'mf_dim': 210, 'mf_new_dim': 113, 'num_forms': 23, 'plus_dim': 47, 'prim_orbit_index': 1, 'relative_dim': 113, 'sturm_bound': 380, 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mf_twists_cc • Show schema
-
id: 47273275
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631693, 'source_is_minimal': True, 'source_label': '1805.2.a.l.1.1', 'source_level': 1805, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631693, 'target_is_minimal': True, 'target_label': '1805.2.a.l.1.1', 'target_level': 1805, 'twist_class_label': '1805.2.a.l.1.1', 'twist_class_level': 1805, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 47273276
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631693, 'source_is_minimal': True, 'source_label': '1805.2.a.l.1.1', 'source_level': 1805, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 166633186246271809, 'target_is_minimal': False, 'target_label': '9025.2.a.bl.1.4', 'target_level': 9025, 'twist_class_label': '1805.2.a.l.1.1', 'twist_class_level': 1805, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2} -
id: 47273277
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631693, 'source_is_minimal': True, 'source_label': '1805.2.a.l.1.1', 'source_level': 1805, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539595934631693, 'target_is_minimal': True, 'target_label': '1805.2.a.l.1.4', 'target_level': 1805, 'twist_class_label': '1805.2.a.l.1.1', 'twist_class_level': 1805, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2} -
id: 47273278
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934631693, 'source_is_minimal': True, 'source_label': '1805.2.a.l.1.1', 'source_level': 1805, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246271809, 'target_is_minimal': False, 'target_label': '9025.2.a.bl.1.1', 'target_level': 9025, 'twist_class_label': '1805.2.a.l.1.1', 'twist_class_level': 1805, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
-
id: 47273275
-
mf_hecke_charpolys • Show schema
-
id: 2222350
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 2} -
id: 2222351
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 3} -
id: 2222352
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 49539595934631693, 'p': 5} -
id: 2222353
{'charpoly_factorization': [[[-1, 4, 1], 2]], 'hecke_orbit_code': 49539595934631693, 'p': 7} -
id: 2222354
{'charpoly_factorization': [[[-5, 5, 1], 2]], 'hecke_orbit_code': 49539595934631693, 'p': 11} -
id: 2222355
{'charpoly_factorization': [[[5, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 13} -
id: 2222356
{'charpoly_factorization': [[[4, -6, 1], 2]], 'hecke_orbit_code': 49539595934631693, 'p': 17} -
id: 2222357
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934631693, 'p': 19} -
id: 2222358
{'charpoly_factorization': [[[-29, 3, 1], 2]], 'hecke_orbit_code': 49539595934631693, 'p': 23} -
id: 2222359
{'charpoly_factorization': [[[605, 0, -85, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 29} -
id: 2222360
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 31} -
id: 2222361
{'charpoly_factorization': [[[605, 0, -85, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 37} -
id: 2222362
{'charpoly_factorization': [[[125, 0, -50, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 41} -
id: 2222363
{'charpoly_factorization': [[[1, -3, 1], 2]], 'hecke_orbit_code': 49539595934631693, 'p': 43} -
id: 2222364
{'charpoly_factorization': [[[-11, -6, 1], 2]], 'hecke_orbit_code': 49539595934631693, 'p': 47} -
id: 2222365
{'charpoly_factorization': [[[125, 0, -125, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 53} -
id: 2222366
{'charpoly_factorization': [[[25205, 0, -325, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 59} -
id: 2222367
{'charpoly_factorization': [[[-55, 10, 1], 2]], 'hecke_orbit_code': 49539595934631693, 'p': 61} -
id: 2222368
{'charpoly_factorization': [[[4805, 0, -170, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 67} -
id: 2222369
{'charpoly_factorization': [[[5, 0, -170, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 71} -
id: 2222370
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 49539595934631693, 'p': 73} -
id: 2222371
{'charpoly_factorization': [[[2000, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 79} -
id: 2222372
{'charpoly_factorization': [[[116, 22, 1], 2]], 'hecke_orbit_code': 49539595934631693, 'p': 83} -
id: 2222373
{'charpoly_factorization': [[[4205, 0, -130, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 89} -
id: 2222374
{'charpoly_factorization': [[[125, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 49539595934631693, 'p': 97}
-
id: 2222350
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1805.2.a.l', 'level': 1805, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 55723333
{'hecke_orbit_code': 49539595934631693, 'n': 1, 'trace_an': 4} -
id: 55723334
{'hecke_orbit_code': 49539595934631693, 'n': 2, 'trace_an': 0} -
id: 55723335
{'hecke_orbit_code': 49539595934631693, 'n': 3, 'trace_an': 0} -
id: 55723336
{'hecke_orbit_code': 49539595934631693, 'n': 4, 'trace_an': 2} -
id: 55723337
{'hecke_orbit_code': 49539595934631693, 'n': 5, 'trace_an': -4} -
id: 55723338
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Embedded newform data - 1805.2.a.l.1.1