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{'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, -2, 1]], [11, [-4, 1]], [13, [-8, -4, 1]], [17, [22, -10, 1]]], 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147347816, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9576.2.a.bw', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '3192.2.a.s', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{5}+q^{7}+4q^{11}+(2+2\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9576.2.a', 'trace_display': [0, 0, 2, 2], 'trace_hash': 302362786041936257, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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-0.31900587271998343], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.7320508075688772, 'hecke_orbit': 49, 'hecke_orbit_code': 216172782147347816, 'label': '9576.2.a.bw.1.2', 'level': 9576, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, -1], [7, -1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [19, 1]], 7, 4], [[[2, 1], [3, -1], [7, 1], [19, 1]], 12, 5], [[[2, -1], [3, 1], [7, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [19, -1]], 12, 4], [[[2, -1], [3, -1], [7, 1], [19, -1]], 11, 6], [[[2, 1], [3, -1], [7, 1], [19, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [19, 1]], 9, 4], [[[2, -1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [19, -1]], 7, 4], [[[2, -1], [3, 1], [7, 1], [19, 1]], 6, 3], [[[2, -1], [3, -1], [7, -1], [19, 1]], 11, 5]], 'ALdims': [6, 7, 7, 6, 12, 9, 9, 12, 6, 7, 7, 6, 9, 11, 11, 9], 'Nk2': 38304, 'analytic_conductor': 76.4647449755781, '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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1889, 'dim': 134, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33564008, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '9576.2.a', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 1952, 'mf_new_dim': 134, 'num_forms': 67, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 134, 'sturm_bound': 3840, 'trace_bound': 17, 'trace_display': [0, 0, 4, 0], 'traces': [134, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 134, 0, 0, 0, -4, 0, 16, 0, 0, 0, -12, 0, 4, 0, 0, 0, -4, 0, 20, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 49032061
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147347816, 'source_is_minimal': False, 'source_label': '9576.2.a.bw.1.2', 'source_level': 9576, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147347816, 'target_is_minimal': False, 'target_label': '9576.2.a.bw.1.2', 'target_level': 9576, 'twist_class_label': '3192.2.a.s.1.1', 'twist_class_level': 3192, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49032062
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147347816, 'source_is_minimal': False, 'source_label': '9576.2.a.bw.1.2', 'source_level': 9576, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326226552, 'target_is_minimal': True, 'target_label': '3192.2.a.s.1.1', 'target_level': 3192, 'twist_class_label': '3192.2.a.s.1.1', 'twist_class_level': 3192, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49032063
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 216172782147347816, 'source_is_minimal': False, 'source_label': '9576.2.a.bw.1.2', 'source_level': 9576, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364157680, 'target_is_minimal': False, 'target_label': '6384.2.a.bi.1.1', 'target_level': 6384, 'twist_class_label': '3192.2.a.s.1.1', 'twist_class_level': 3192, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5066300
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 216172782147347816, 'p': 2}
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id: 5066301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 216172782147347816, 'p': 3}
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id: 5066302
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 5}
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id: 5066303
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 216172782147347816, 'p': 7}
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id: 5066304
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 216172782147347816, 'p': 11}
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id: 5066305
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 13}
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id: 5066306
{'charpoly_factorization': [[[22, -10, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 17}
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id: 5066307
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 216172782147347816, 'p': 19}
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id: 5066308
{'charpoly_factorization': [[[-48, 0, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 23}
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id: 5066309
{'charpoly_factorization': [[[22, -10, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 29}
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id: 5066310
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 216172782147347816, 'p': 31}
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id: 5066311
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 37}
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id: 5066312
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 41}
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id: 5066313
{'charpoly_factorization': [[[-44, 4, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 43}
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id: 5066314
{'charpoly_factorization': [[[-2, -10, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 47}
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id: 5066315
{'charpoly_factorization': [[[-74, -2, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 53}
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id: 5066316
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 59}
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id: 5066317
{'charpoly_factorization': [[[-12, 12, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 61}
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id: 5066318
{'charpoly_factorization': [[[-8, -4, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 67}
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id: 5066319
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 71}
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id: 5066320
{'charpoly_factorization': [[[-108, 0, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 73}
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id: 5066321
{'charpoly_factorization': [[[-32, 8, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 79}
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id: 5066322
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 83}
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id: 5066323
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 216172782147347816, 'p': 89}
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id: 5066324
{'charpoly_factorization': [[[-188, 4, 1], 1]], 'hecke_orbit_code': 216172782147347816, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 49, 'label': '9576.2.a.bw', 'level': 9576, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 277077000
{'hecke_orbit_code': 216172782147347816, 'n': 1, 'trace_an': 2}
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id: 277077001
{'hecke_orbit_code': 216172782147347816, 'n': 2, 'trace_an': 0}
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id: 277077002
{'hecke_orbit_code': 216172782147347816, 'n': 3, 'trace_an': 0}
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id: 277077003
{'hecke_orbit_code': 216172782147347816, 'n': 4, 'trace_an': 0}
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id: 277077004
{'hecke_orbit_code': 216172782147347816, 'n': 5, 'trace_an': 2}
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id: 277077005
{'hecke_orbit_code': 216172782147347816, 'n': 6, 'trace_an': 0}
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id: 277077006
{'hecke_orbit_code': 216172782147347816, 'n': 7, 'trace_an': 2}
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id: 277077007
{'hecke_orbit_code': 216172782147347816, 'n': 8, 'trace_an': 0}
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id: 277077008
{'hecke_orbit_code': 216172782147347816, 'n': 9, 'trace_an': 0}
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id: 277077009
{'hecke_orbit_code': 216172782147347816, 'n': 10, 'trace_an': 0}
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id: 277077010
{'hecke_orbit_code': 216172782147347816, 'n': 11, 'trace_an': 8}
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id: 277077011
{'hecke_orbit_code': 216172782147347816, 'n': 12, 'trace_an': 0}
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id: 277077012
{'hecke_orbit_code': 216172782147347816, 'n': 13, 'trace_an': 4}
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id: 277077013
{'hecke_orbit_code': 216172782147347816, 'n': 14, 'trace_an': 0}
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id: 277077014
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