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mf_newforms • Show schema
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{'Nk2': 36800, 'analytic_conductor': 73.46236985957795, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [23, -1]], 'atkin_lehner_string': '++-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9200, 1, [1151, 6901, 2577, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 621, 'field_disc_factorization': [[3, 3], [23, 1]], 'field_poly': [-3, -6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-3, -6, 0, 1]], [7, [2, -3, -3, 1]], [11, [12, -15, 3, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538940912, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9200.2.a.cd', 'level': 9200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '920.2.a.g', 'nf_label': '3.3.621.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+(1+\\beta _{1})q^{7}+(1+\\beta _{1}+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9200.2.a', 'trace_display': [0, 0, 0, 3], 'trace_hash': 1952015744867623127, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.103', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.057', 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'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.1451026912004223, 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538940912, 'label': '9200.2.a.cd.1.1', 'level': 9200, 'weight': 2}
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 31, 11], [[[2, 1], [5, 1], [23, -1]], 25, 13], [[[2, 1], [5, 1], [23, 1]], 25, 10], [[[2, -1], [5, -1], [23, 1]], 25, 9], [[[2, -1], [5, 1], [23, -1]], 20, 12], [[[2, 1], [5, -1], [23, -1]], 27, 7], [[[2, 1], [5, -1], [23, 1]], 27, 7], [[[2, -1], [5, 1], [23, 1]], 29, 14]], 'ALdims': [25, 25, 27, 27, 29, 20, 25, 31], 'Nk2': 36800, 'analytic_conductor': 73.46236985957795, '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': [9200, 1, [1151, 6901, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1405, 'dim': 209, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33563632, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 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mf_twists_cc • Show schema
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id: 49077553
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 247697979538940912, 'target_is_minimal': False, 'target_label': '9200.2.a.cd.1.1', 'target_level': 9200, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49077554
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 108086391090450936, 'target_is_minimal': False, 'target_label': '4600.2.a.y.1.3', 'target_level': 4600, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49077555
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568392953595696, 'target_is_minimal': False, 'target_label': '1840.2.a.t.1.3', 'target_level': 1840, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49077556
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 4049, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 76561468576764408, 'target_is_minimal': False, 'target_label': '4600.2.e.r.4049.5', 'target_level': 4600, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49077557
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 4049, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561468576764408, 'target_is_minimal': False, 'target_label': '4600.2.e.r.4049.2', 'target_level': 4600, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49077558
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778328, 'target_is_minimal': True, 'target_label': '920.2.a.g.1.1', 'target_level': 920, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49077559
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 238690780284198080, 'target_is_minimal': False, 'target_label': '7360.2.a.cb.1.3', 'target_level': 7360, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49077560
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 234187180656827584, 'target_is_minimal': False, 'target_label': '7360.2.a.ca.1.1', 'target_level': 7360, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 49077561
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538940912, 'source_is_minimal': False, 'source_label': '9200.2.a.cd.1.1', 'source_level': 9200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128382552, 'target_is_minimal': False, 'target_label': '8280.2.a.bo.1.1', 'target_level': 8280, 'twist_class_label': '920.2.a.g.1.1', 'twist_class_level': 920, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4961750
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 247697979538940912, 'p': 2}
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id: 4961751
{'charpoly_factorization': [[[-3, -6, 0, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 3}
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id: 4961752
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 247697979538940912, 'p': 5}
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id: 4961753
{'charpoly_factorization': [[[2, -3, -3, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 7}
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id: 4961754
{'charpoly_factorization': [[[12, -15, 3, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 11}
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id: 4961755
{'charpoly_factorization': [[[-29, -18, 0, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 13}
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id: 4961756
{'charpoly_factorization': [[[-12, -15, -3, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 17}
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id: 4961757
{'charpoly_factorization': [[[48, -33, 3, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 19}
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id: 4961758
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 247697979538940912, 'p': 23}
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id: 4961759
{'charpoly_factorization': [[[12, -6, -3, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 29}
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id: 4961760
{'charpoly_factorization': [[[-249, -42, 6, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 31}
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id: 4961761
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 247697979538940912, 'p': 37}
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id: 4961762
{'charpoly_factorization': [[[-69, -60, 6, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 41}
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id: 4961763
{'charpoly_factorization': [[[32, 72, -18, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 43}
-
id: 4961764
{'charpoly_factorization': [[[-76, 66, -15, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 47}
-
id: 4961765
{'charpoly_factorization': [[[-536, -132, 6, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 53}
-
id: 4961766
{'charpoly_factorization': [[[-32, -36, 6, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 59}
-
id: 4961767
{'charpoly_factorization': [[[-596, 225, -27, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 61}
-
id: 4961768
{'charpoly_factorization': [[[2944, -240, -12, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 67}
-
id: 4961769
{'charpoly_factorization': [[[-203, -60, 6, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 71}
-
id: 4961770
{'charpoly_factorization': [[[588, -42, -15, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 73}
-
id: 4961771
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 247697979538940912, 'p': 79}
-
id: 4961772
{'charpoly_factorization': [[[-64, -60, 12, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 83}
-
id: 4961773
{'charpoly_factorization': [[[608, 264, 30, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 89}
-
id: 4961774
{'charpoly_factorization': [[[-138, -69, 9, 1], 1]], 'hecke_orbit_code': 247697979538940912, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 56, 'label': '9200.2.a.cd', 'level': 9200, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 278726000
{'hecke_orbit_code': 247697979538940912, 'n': 1, 'trace_an': 3}
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id: 278726001
{'hecke_orbit_code': 247697979538940912, 'n': 2, 'trace_an': 0}
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id: 278726002
{'hecke_orbit_code': 247697979538940912, 'n': 3, 'trace_an': 0}
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id: 278726003
{'hecke_orbit_code': 247697979538940912, 'n': 4, 'trace_an': 0}
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id: 278726004
{'hecke_orbit_code': 247697979538940912, 'n': 5, 'trace_an': 0}
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id: 278726005
{'hecke_orbit_code': 247697979538940912, 'n': 6, 'trace_an': 0}
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id: 278726006
{'hecke_orbit_code': 247697979538940912, 'n': 7, 'trace_an': 3}
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id: 278726007
{'hecke_orbit_code': 247697979538940912, 'n': 8, 'trace_an': 0}
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id: 278726008
{'hecke_orbit_code': 247697979538940912, 'n': 9, 'trace_an': 3}
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id: 278726009
{'hecke_orbit_code': 247697979538940912, 'n': 10, 'trace_an': 0}
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id: 278726010
{'hecke_orbit_code': 247697979538940912, 'n': 11, 'trace_an': -3}
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id: 278726011
{'hecke_orbit_code': 247697979538940912, 'n': 12, 'trace_an': 0}
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id: 278726012
{'hecke_orbit_code': 247697979538940912, 'n': 13, 'trace_an': 0}
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id: 278726013
{'hecke_orbit_code': 247697979538940912, 'n': 14, 'trace_an': 0}
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id: 278726014
{'hecke_orbit_code': 247697979538940912, 'n': 15, 'trace_an': 0}
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id: 278726015
{'hecke_orbit_code': 247697979538940912, 'n': 16, 'trace_an': 0}
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id: 278726016
{'hecke_orbit_code': 247697979538940912, 'n': 17, 'trace_an': 3}
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id: 278726017
{'hecke_orbit_code': 247697979538940912, 'n': 18, 'trace_an': 0}
-
id: 278726018
{'hecke_orbit_code': 247697979538940912, 'n': 19, 'trace_an': -3}
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id: 278726019
{'hecke_orbit_code': 247697979538940912, 'n': 20, 'trace_an': 0}
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id: 278726020
{'hecke_orbit_code': 247697979538940912, 'n': 21, 'trace_an': 12}
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id: 278726021
{'hecke_orbit_code': 247697979538940912, 'n': 22, 'trace_an': 0}
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id: 278726022
{'hecke_orbit_code': 247697979538940912, 'n': 23, 'trace_an': 3}
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id: 278726023
{'hecke_orbit_code': 247697979538940912, 'n': 24, 'trace_an': 0}
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id: 278726024
{'hecke_orbit_code': 247697979538940912, 'n': 25, 'trace_an': 0}
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id: 278726025
{'hecke_orbit_code': 247697979538940912, 'n': 26, 'trace_an': 0}
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id: 278726026
{'hecke_orbit_code': 247697979538940912, 'n': 27, 'trace_an': 9}
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