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mf_newforms • Show schema
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{'Nk2': 2448, 'analytic_conductor': 9.027292230878315, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [17, 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': [153, 1, [137, 37], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 1506848, 'field_disc_factorization': [[2, 5], [7, 2], [31, 2]], 'field_poly': [18, 0, -17, 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': [[2, [102, 50, -21, -4, 1]], [5, [-9078, 2612, -77, -22, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797086072985, 'hecke_ring_generator_nbound': 5, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '153.4.a.i', 'level': 153, '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': [3, 17], 'level_radical': 51, 'minimal_twist': '153.4.a.h', 'nf_label': '4.4.1506848.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{2})q^{2}+(6-2\\beta _{2}-\\beta _{3})q^{4}+(5+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '153.4.a', 'trace_display': [4, 0, 22, -24], 'trace_hash': 1155330338003575117, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.938', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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mf_twists_cc • Show schema
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id: 46561931
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797086072985, 'source_is_minimal': True, 'source_label': '153.4.a.i.1.3', 'source_level': 153, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797086072985, 'target_is_minimal': True, 'target_label': '153.4.a.i.1.3', 'target_level': 153, 'twist_class_label': '153.4.a.h.1.2', 'twist_class_level': 153, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 46561932
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797086072985, 'source_is_minimal': True, 'source_label': '153.4.a.i.1.3', 'source_level': 153, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197458702489, 'target_is_minimal': True, 'target_label': '153.4.a.h.1.2', 'target_level': 153, 'twist_class_label': '153.4.a.h.1.2', 'twist_class_level': 153, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 46561933
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797086072985, 'source_is_minimal': True, 'source_label': '153.4.a.i.1.3', 'source_level': 153, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 198158383671413136, 'target_is_minimal': False, 'target_label': '2448.4.a.bs.1.3', 'target_level': 2448, 'twist_class_label': '153.4.a.h.1.2', 'twist_class_level': 153, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46561934
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 36028797086072985, 'source_is_minimal': True, 'source_label': '153.4.a.i.1.3', 'source_level': 153, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 180143985161931152, 'target_is_minimal': False, 'target_label': '2448.4.a.bo.1.2', 'target_level': 2448, 'twist_class_label': '153.4.a.h.1.2', 'twist_class_level': 153, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 408175
{'charpoly_factorization': [[[102, 50, -21, -4, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 2}
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id: 408176
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36028797086072985, 'p': 3}
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id: 408177
{'charpoly_factorization': [[[-9078, 2612, -77, -22, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 5}
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id: 408178
{'charpoly_factorization': [[[-16488, -5160, -286, 24, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 7}
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id: 408179
{'charpoly_factorization': [[[-669528, 143760, -2695, -50, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 11}
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id: 408180
{'charpoly_factorization': [[[1030444, 33284, -3059, -26, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 13}
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id: 408181
{'charpoly_factorization': [[[17, 1], 4]], 'hecke_orbit_code': 36028797086072985, 'p': 17}
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id: 408182
{'charpoly_factorization': [[[4368204, -636, -6107, -34, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 19}
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id: 408183
{'charpoly_factorization': [[[49041294, -2688592, 50287, -382, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 23}
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id: 408184
{'charpoly_factorization': [[[-232426584, -1040568, 80062, -540, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 29}
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id: 408185
{'charpoly_factorization': [[[-2282423072, -24942896, -36386, 356, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 31}
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id: 408186
{'charpoly_factorization': [[[-6443365976, -59622536, -96626, 404, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 37}
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id: 408187
{'charpoly_factorization': [[[9365221188, -6041436, -211835, 114, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 41}
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id: 408188
{'charpoly_factorization': [[[-6091569648, 63514200, -52639, -570, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 43}
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id: 408189
{'charpoly_factorization': [[[-153753984, 940416, 56312, -496, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 47}
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id: 408190
{'charpoly_factorization': [[[-2914187328, 41057088, -153988, -92, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 53}
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id: 408191
{'charpoly_factorization': [[[23071976496, -79090848, -518144, 48, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 59}
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id: 408192
{'charpoly_factorization': [[[531291272, -18951576, 103966, 1036, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 61}
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id: 408193
{'charpoly_factorization': [[[1798725056, 30663584, -67332, -812, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 67}
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id: 408194
{'charpoly_factorization': [[[82941464832, 317043296, -331538, -1044, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 71}
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id: 408195
{'charpoly_factorization': [[[-188519703168, -706496608, -265436, 1212, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 73}
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id: 408196
{'charpoly_factorization': [[[-23511973896, 282732696, -475326, -488, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 79}
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id: 408197
{'charpoly_factorization': [[[-13135194432, -7743232, 594108, -1708, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 83}
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id: 408198
{'charpoly_factorization': [[[113358314448, -14249248, -715256, 8, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 89}
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id: 408199
{'charpoly_factorization': [[[896966722688, -257523552, -2230004, 76, 1], 1]], 'hecke_orbit_code': 36028797086072985, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '153.4.a.i', 'level': 153, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 51552763
{'hecke_orbit_code': 36028797086072985, 'n': 1, 'trace_an': 4}
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id: 51552764
{'hecke_orbit_code': 36028797086072985, 'n': 2, 'trace_an': 4}
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id: 51552765
{'hecke_orbit_code': 36028797086072985, 'n': 3, 'trace_an': 0}
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id: 51552766
{'hecke_orbit_code': 36028797086072985, 'n': 4, 'trace_an': 26}
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id: 51552767
{'hecke_orbit_code': 36028797086072985, 'n': 5, 'trace_an': 22}
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