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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [13, -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': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 1373, 'field_disc_factorization': [[1373, 1]], 'field_poly': [-5, -8, 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': [[5, [20, -14, -1, 1]], [11, [40, -32, 0, 1]], [17, [-4, 1]]], 'hecke_orbit': 40, 'hecke_orbit_code': 175640385501008144, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '4368.2.a.bn', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '1092.2.a.h', 'nf_label': '3.3.1373.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta _{2}q^{5}+q^{7}+q^{9}-\\beta _{1}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4368.2.a', 'trace_display': [0, -3, 1, 3], 'trace_hash': 626018372601974240, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.054', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.881', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.398', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.313', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.391', 'prec': 17}, {'__RealLiteral__': 0, 'data': '262.377', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [3, 0, -3, 0, 1, 0, 3, 0, 3, 0, 0, 0, 3, 0, -1, 0, 12, 0, -5, 0, -3, 0, -1, 0, 14, 0, -3, 0, 11, 0, -5, 0, 0, 0, 1, 0, 8, 0, -3, 0, -4, 0, -17, 0, 1, 0, 3, 0, 3, 0, -12, 0, -13, 0, 2, 0, 5, 0, -6, 0, 6, 0, 3, 0, 1, 0, 2, 0, 1, 0, 22, 0, 9, 0, -14, 0, 0, 0, 3, 0, 3, 0, 23, 0, 4, 0, -11, 0, -1, 0, 3, 0, 5, 0, 25, 0, 1, 0, 0, 0, 22, 0, -12, 0, -1, 0, 8, 0, -18, 0, -8, 0, -15, 0, -31, 0, 3, 0, 12, 0, 31, 0, 4, 0, -27, 0, 8, 0, 17, 0, 24, 0, -5, 0, -1, 0, 22, 0, -10, 0, -3, 0, 0, 0, -23, 0, -3, 0, -24, 0, 4, 0, 12, 0, 29, 0, 4, 0, 13, 0, -1, 0, -12, 0, -2, 0, 13, 0, 3, 0, -5, 0, 8, 0, 14, 0, 6, 0, 27, 0, 2, 0, -6, 0, 60, 0, 0, 0, -3, 0, 32, 0, 10, 0, -1, 0, -12, 0, -4, 0, -2, 0, 11, 0, 54, 0, -1, 0, -62, 0, -17, 0, -22, 0, 25, 0, -5, 0, -9, 0, 12, 0, 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [7, -1], [13, -1]], 5, 2], [[[2, 1], [3, -1], [7, 1], [13, 1]], 6, 5], [[[2, 1], [3, 1], [7, 1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, 1]], 3, 3], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 3], [[[2, 1], [3, -1], [7, -1], [13, -1]], 7, 3], [[[2, -1], [3, -1], [7, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 2, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 3, 2], [[[2, 1], [3, 1], [7, -1], [13, 1]], 3, 2], [[[2, -1], [3, -1], [7, -1], [13, 1]], 5, 3], [[[2, -1], [3, 1], [7, 1], [13, -1]], 5, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 4, 3]], 'ALdims': [6, 4, 3, 5, 6, 2, 3, 7, 4, 5, 3, 6, 6, 5, 5, 2], 'Nk2': 17472, 'analytic_conductor': 34.87865560289527, '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': [4368, 1, [3823, 1093, 1457, 1249, 2017], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 873, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33558800, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4], 'label': '4368.2.a', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 920, 'mf_new_dim': 72, 'num_forms': 45, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1792, 'trace_bound': 11, 'trace_display': [0, 0, 0, -4], 'traces': [72, 0, 0, 0, 0, 0, -4, 0, 72, 0, -8, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -8, 0, 72, 0, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 72, 0, -16, 0, 16, 0, -16, 0, 0, 0, 0, 0, 32, 0, -4, 0, 0, 0, 16, 0, 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mf_twists_cc • Show schema
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id: 48919918
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 175640385501008144, 'source_is_minimal': False, 'source_label': '4368.2.a.bn.1.3', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640385501008144, 'target_is_minimal': False, 'target_label': '4368.2.a.bn.1.3', 'target_level': 4368, 'twist_class_label': '1092.2.a.h.1.3', 'twist_class_level': 1092, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48919919
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 175640385501008144, 'source_is_minimal': False, 'source_label': '4368.2.a.bn.1.3', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525197425148996, 'target_is_minimal': True, 'target_label': '1092.2.a.h.1.3', 'target_level': 1092, 'twist_class_label': '1092.2.a.h.1.3', 'twist_class_level': 1092, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48919920
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 175640385501008144, 'source_is_minimal': False, 'source_label': '4368.2.a.bn.1.3', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698856140, 'target_is_minimal': False, 'target_label': '3276.2.a.r.1.1', 'target_level': 3276, 'twist_class_label': '1092.2.a.h.1.3', 'twist_class_level': 1092, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48919921
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 175640385501008144, 'source_is_minimal': False, 'source_label': '4368.2.a.bn.1.3', 'source_level': 4368, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953601500, 'target_is_minimal': False, 'target_label': '7644.2.a.t.1.1', 'target_level': 7644, 'twist_class_label': '1092.2.a.h.1.3', 'twist_class_level': 1092, '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: 3581350
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 175640385501008144, 'p': 2}
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id: 3581351
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 175640385501008144, 'p': 3}
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id: 3581352
{'charpoly_factorization': [[[20, -14, -1, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 5}
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id: 3581353
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 175640385501008144, 'p': 7}
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id: 3581354
{'charpoly_factorization': [[[40, -32, 0, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 11}
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id: 3581355
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 175640385501008144, 'p': 13}
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id: 3581356
{'charpoly_factorization': [[[-4, 1], 3]], 'hecke_orbit_code': 175640385501008144, 'p': 17}
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id: 3581357
{'charpoly_factorization': [[[-144, -36, 5, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 19}
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id: 3581358
{'charpoly_factorization': [[[100, -48, 1, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 23}
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id: 3581359
{'charpoly_factorization': [[[188, -4, -11, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 29}
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id: 3581360
{'charpoly_factorization': [[[-192, -40, 5, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 31}
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id: 3581361
{'charpoly_factorization': [[[256, -36, -8, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 37}
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id: 3581362
{'charpoly_factorization': [[[-8, -80, 4, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 41}
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id: 3581363
{'charpoly_factorization': [[[-208, 48, 17, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 43}
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id: 3581364
{'charpoly_factorization': [[[540, -126, -3, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 47}
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id: 3581365
{'charpoly_factorization': [[[-12, 8, 13, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 53}
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id: 3581366
{'charpoly_factorization': [[[-96, -20, 6, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 59}
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id: 3581367
{'charpoly_factorization': [[[-2, 1], 3]], 'hecke_orbit_code': 175640385501008144, 'p': 61}
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id: 3581368
{'charpoly_factorization': [[[160, -56, -2, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 67}
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id: 3581369
{'charpoly_factorization': [[[592, 68, -22, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 71}
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id: 3581370
{'charpoly_factorization': [[[900, -140, -9, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 73}
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id: 3581371
{'charpoly_factorization': [[[592, -164, -3, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 79}
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id: 3581372
{'charpoly_factorization': [[[-356, 162, -23, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 83}
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id: 3581373
{'charpoly_factorization': [[[180, -146, 1, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 89}
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id: 3581374
{'charpoly_factorization': [[[-100, -48, -1, 1], 1]], 'hecke_orbit_code': 175640385501008144, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '4368.2.a.bn', 'level': 4368, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 272899000
{'hecke_orbit_code': 175640385501008144, 'n': 1, 'trace_an': 3}
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id: 272899001
{'hecke_orbit_code': 175640385501008144, 'n': 2, 'trace_an': 0}
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id: 272899002
{'hecke_orbit_code': 175640385501008144, 'n': 3, 'trace_an': -3}
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id: 272899003
{'hecke_orbit_code': 175640385501008144, 'n': 4, 'trace_an': 0}
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id: 272899004
{'hecke_orbit_code': 175640385501008144, 'n': 5, 'trace_an': 1}
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id: 272899005
{'hecke_orbit_code': 175640385501008144, 'n': 6, 'trace_an': 0}
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id: 272899006
{'hecke_orbit_code': 175640385501008144, 'n': 7, 'trace_an': 3}
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