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{'Nk2': 10304, 'analytic_conductor': 20.569463560681825, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -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': [2576, 1, [2255, 645, 1473, 1569], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 6963152, 'field_disc_factorization': [[2, 4], [7, 1], [62171, 1]], 'field_poly': [10, 29, 10, -10, -2, 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, [38, 16, -22, -8, 3, 1]], [5, [-160, 94, 34, -20, -2, 1]], [11, [360, 564, -68, -48, 2, 1]], [13, [1424, -1360, 320, 20, -13, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972560400, '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': '2576.2.a.bb', 'level': 2576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'minimal_twist': '644.2.a.d', 'nf_label': '5.5.6963152.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+(1-\\beta _{2}+\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2576.2.a', 'trace_display': [0, -3, 2, 5], 'trace_hash': 2069568130435948530, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, 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{'AL_dims': [[[[2, -1], [7, -1], [23, 1]], 5, 3], [[[2, -1], [7, -1], [23, -1]], 12, 4], [[[2, 1], [7, -1], [23, 1]], 10, 5], [[[2, 1], [7, 1], [23, 1]], 6, 4], [[[2, 1], [7, -1], [23, -1]], 6, 4], [[[2, 1], [7, 1], [23, -1]], 10, 3], [[[2, -1], [7, 1], [23, -1]], 8, 4], [[[2, -1], [7, 1], [23, 1]], 9, 4]], 'ALdims': [6, 10, 10, 6, 9, 8, 5, 12], 'Nk2': 10304, 'analytic_conductor': 20.569463560681825, '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': [2576, 1, [2255, 645, 1473, 1569], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 373, 'dim': 66, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 13], 'hecke_orbit_code': 33557008, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5], 'label': '2576.2.a', 'level': 2576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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0, -768, 0, 84, 0, 96, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48634931
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 121597189972560400, 'source_is_minimal': False, 'source_label': '2576.2.a.bb.1.4', 'source_level': 2576, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 121597189972560400, 'target_is_minimal': False, 'target_label': '2576.2.a.bb.1.4', 'target_level': 2576, 'twist_class_label': '644.2.a.d.1.2', 'twist_class_level': 644, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48634932
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 121597189972560400, 'source_is_minimal': False, 'source_label': '2576.2.a.bb.1.4', 'source_level': 2576, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666564, 'target_is_minimal': True, 'target_label': '644.2.a.d.1.2', 'target_level': 644, 'twist_class_label': '644.2.a.d.1.2', 'twist_class_level': 644, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48634933
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 121597189972560400, 'source_is_minimal': False, 'source_label': '2576.2.a.bb.1.4', 'source_level': 2576, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 85568392953599652, 'target_is_minimal': False, 'target_label': '5796.2.a.t.1.5', 'target_level': 5796, 'twist_class_label': '644.2.a.d.1.2', 'twist_class_level': 644, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48634934
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 4, 'source_hecke_orbit_code': 121597189972560400, 'source_is_minimal': False, 'source_label': '2576.2.a.bb.1.4', 'source_level': 2576, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22517998170411420, 'target_is_minimal': False, 'target_label': '4508.2.a.f.1.4', 'target_level': 4508, 'twist_class_label': '644.2.a.d.1.2', 'twist_class_level': 644, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2737175
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 121597189972560400, 'p': 2}
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id: 2737176
{'charpoly_factorization': [[[38, 16, -22, -8, 3, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 3}
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id: 2737177
{'charpoly_factorization': [[[-160, 94, 34, -20, -2, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 5}
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id: 2737178
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 121597189972560400, 'p': 7}
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id: 2737179
{'charpoly_factorization': [[[360, 564, -68, -48, 2, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 11}
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id: 2737180
{'charpoly_factorization': [[[1424, -1360, 320, 20, -13, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 13}
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id: 2737181
{'charpoly_factorization': [[[256, 494, 70, -48, -4, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 17}
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id: 2737182
{'charpoly_factorization': [[[1024, -448, -320, 0, 12, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 19}
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id: 2737183
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 121597189972560400, 'p': 23}
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id: 2737184
{'charpoly_factorization': [[[-796, -72, 304, 0, -13, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 29}
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id: 2737185
{'charpoly_factorization': [[[-20810, 4512, 570, -142, -3, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 31}
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id: 2737186
{'charpoly_factorization': [[[1152, -240, -512, -88, 4, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 37}
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id: 2737187
{'charpoly_factorization': [[[-2032, 1728, 96, -84, -1, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 41}
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id: 2737188
{'charpoly_factorization': [[[1984, -2800, 1024, -88, -8, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 43}
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id: 2737189
{'charpoly_factorization': [[[1198, 1888, -642, -130, 5, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 47}
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id: 2737190
{'charpoly_factorization': [[[28224, 5040, -944, -144, 8, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 53}
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id: 2737191
{'charpoly_factorization': [[[216, 162, -78, -44, 12, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 59}
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id: 2737192
{'charpoly_factorization': [[[292, -582, 242, 60, -20, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 61}
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id: 2737193
{'charpoly_factorization': [[[9008, -7988, 1884, -96, -12, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 67}
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id: 2737194
{'charpoly_factorization': [[[19840, -3264, -2224, -180, 9, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 71}
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id: 2737195
{'charpoly_factorization': [[[1296, 3456, -488, -112, 9, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 73}
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id: 2737196
{'charpoly_factorization': [[[6320, -6212, 1908, -160, -8, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 79}
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id: 2737197
{'charpoly_factorization': [[[4096, -6560, 848, 160, -28, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 83}
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id: 2737198
{'charpoly_factorization': [[[200, -26818, 3354, 148, -32, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 89}
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id: 2737199
{'charpoly_factorization': [[[27700, 10738, 114, -196, -4, 1], 1]], 'hecke_orbit_code': 121597189972560400, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '2576.2.a.bb', 'level': 2576, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 261667000
{'hecke_orbit_code': 121597189972560400, 'n': 1, 'trace_an': 5}
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id: 261667001
{'hecke_orbit_code': 121597189972560400, 'n': 2, 'trace_an': 0}
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id: 261667002
{'hecke_orbit_code': 121597189972560400, 'n': 3, 'trace_an': -3}
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id: 261667003
{'hecke_orbit_code': 121597189972560400, 'n': 4, 'trace_an': 0}
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id: 261667004
{'hecke_orbit_code': 121597189972560400, 'n': 5, 'trace_an': 2}
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id: 261667005
{'hecke_orbit_code': 121597189972560400, 'n': 6, 'trace_an': 0}
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id: 261667006
{'hecke_orbit_code': 121597189972560400, 'n': 7, 'trace_an': 5}
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id: 261667007
{'hecke_orbit_code': 121597189972560400, 'n': 8, 'trace_an': 0}
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