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{'Nk2': 18600, 'analytic_conductor': 37.130436939895375, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [31, 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': [4650, 1, [3101, 2977, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': [[7, [1, 1]], [11, [3, 1]], [13, [-4, 1]], [19, [1, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444116522, 'hecke_ring_generator_nbound': 1, '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': '4650.2.a.p', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.d.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/4650/p'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4650.2.a', 'trace_display': [-1, 1, 0, -1], 'trace_hash': 1458908689128976271, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.992', 'prec': 17}, 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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': 0.0, 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444116522, 'label': '4650.2.a.p.1.1', 'level': 4650, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [31, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [31, -1]], 4, 4], [[[2, 1], [3, 1], [5, -1], [31, -1]], 5, 5], [[[2, -1], [3, 1], [5, 1], [31, 1]], 7, 5], [[[2, 1], [3, 1], [5, 1], [31, 1]], 6, 5], [[[2, -1], [3, 1], [5, -1], [31, 1]], 4, 4], [[[2, -1], [3, 1], [5, -1], [31, -1]], 8, 3], [[[2, 1], [3, 1], [5, -1], [31, 1]], 7, 4], [[[2, -1], [3, -1], [5, 1], [31, 1]], 4, 3], [[[2, -1], [3, -1], [5, -1], [31, 1]], 8, 6], [[[2, 1], [3, -1], [5, -1], [31, -1]], 7, 4], [[[2, 1], [3, 1], [5, 1], [31, -1]], 6, 4], [[[2, 1], [3, -1], [5, 1], [31, -1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [31, 1]], 5, 3], [[[2, 1], [3, -1], [5, 1], [31, 1]], 6, 5], [[[2, -1], [3, -1], [5, 1], [31, -1]], 7, 7]], 'ALdims': [6, 6, 7, 5, 6, 6, 5, 7, 7, 4, 4, 8, 4, 7, 8, 4], 'Nk2': 18600, 'analytic_conductor': 37.130436939895375, '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': [4650, 1, [3101, 2977, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 94, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 33559082, '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '4650.2.a', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 984, 'mf_new_dim': 94, 'num_forms': 68, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 94, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [-2, 0, 0, -8], 'traces': [94, -2, 0, 94, 0, 0, -8, -2, 94, 0, -16, 0, -12, -8, 0, 94, -4, -2, -12, 0, 0, 0, 0, 0, 0, 20, 0, -8, 36, 0, 0, -2, -4, 36, 0, 94, 12, 0, 0, 0, 28, 8, -8, -16, 0, -8, 24, 0, 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mf_twists_cc • Show schema
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id: 47905922
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116522, 'source_is_minimal': False, 'source_label': '4650.2.a.p.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444116522, 'target_is_minimal': False, 'target_label': '4650.2.a.p.1.1', 'target_level': 4650, 'twist_class_label': '930.2.d.a.559.1', 'twist_class_level': 930, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47905923
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116522, 'source_is_minimal': False, 'source_label': '4650.2.a.p.1.1', 'source_level': 4650, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206191985570, 'target_is_minimal': True, 'target_label': '930.2.d.a.559.1', 'target_level': 930, 'twist_class_label': '930.2.d.a.559.1', 'twist_class_level': 930, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47905924
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116522, 'source_is_minimal': False, 'source_label': '4650.2.a.p.1.1', 'source_level': 4650, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206191985570, 'target_is_minimal': True, 'target_label': '930.2.d.a.559.2', 'target_level': 930, 'twist_class_label': '930.2.d.a.559.1', 'twist_class_level': 930, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47905925
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116522, 'source_is_minimal': False, 'source_label': '4650.2.a.p.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599932970, 'target_is_minimal': False, 'target_label': '4650.2.a.bc.1.1', 'target_level': 4650, 'twist_class_label': '930.2.d.a.559.1', 'twist_class_level': 930, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47905926
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116522, 'source_is_minimal': False, 'source_label': '4650.2.a.p.1.1', 'source_level': 4650, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328839910, 'target_is_minimal': False, 'target_label': '2790.2.d.f.559.2', 'target_level': 2790, 'twist_class_label': '930.2.d.a.559.1', 'twist_class_level': 930, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47905927
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116522, 'source_is_minimal': False, 'source_label': '4650.2.a.p.1.1', 'source_level': 4650, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328839910, 'target_is_minimal': False, 'target_label': '2790.2.d.f.559.1', 'target_level': 2790, 'twist_class_label': '930.2.d.a.559.1', 'twist_class_level': 930, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3661725
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 2}
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id: 3661726
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 3}
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id: 3661727
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 5}
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id: 3661728
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 7}
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id: 3661729
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 11}
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id: 3661730
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 13}
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id: 3661731
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 17}
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id: 3661732
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 19}
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id: 3661733
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 23}
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id: 3661734
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 29}
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id: 3661735
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 31}
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id: 3661736
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 37}
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id: 3661737
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 41}
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id: 3661738
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 43}
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id: 3661739
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 47}
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id: 3661740
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 53}
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id: 3661741
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 59}
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id: 3661742
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 61}
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id: 3661743
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 67}
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id: 3661744
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 71}
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id: 3661745
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 73}
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id: 3661746
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 79}
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id: 3661747
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 83}
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id: 3661748
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 89}
-
id: 3661749
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444116522, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '4650.2.a.p', 'level': 4650, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 234905000
{'hecke_orbit_code': 67553994444116522, 'n': 1, 'trace_an': 1}
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id: 234905001
{'hecke_orbit_code': 67553994444116522, 'n': 2, 'trace_an': -1}
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id: 234905002
{'hecke_orbit_code': 67553994444116522, 'n': 3, 'trace_an': 1}
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id: 234905003
{'hecke_orbit_code': 67553994444116522, 'n': 4, 'trace_an': 1}
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id: 234905004
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