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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [23, 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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 621, 'field_disc_factorization': [[3, 3], [23, 1]], 'field_poly': [-3, -6, 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': [[3, [3, -6, 0, 1]], [7, [-2, -3, 3, 1]], [11, [-12, -15, -3, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090450936, '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': '4600.2.a.y', 'level': 4600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '920.2.a.g', 'nf_label': '3.3.621.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(-1-\\beta _{1})q^{7}+(1+\\beta _{1}+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.a', 'trace_display': [0, 0, 0, -3], 'trace_hash': 1524293265028937359, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.044', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.349', 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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-16, 12], [-25, -17, -24], [35, -12, -3], [-60, 15, 8]], 'char_orbit_index': 1, 'field_poly': [-3, -6, 0, 1], 'hecke_orbit_code': 108086391090450936, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [4, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '4600.2.a.y', 'level': 4600, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 15, 5], [[[2, 1], [5, 1], [23, -1]], 14, 5], [[[2, 1], [5, 1], [23, 1]], 13, 7], [[[2, -1], [5, -1], [23, 1]], 13, 3], [[[2, -1], [5, 1], [23, -1]], 11, 5], [[[2, 1], [5, -1], [23, -1]], 12, 2], [[[2, 1], [5, -1], [23, 1]], 14, 4], [[[2, -1], [5, 1], [23, 1]], 12, 6]], 'ALdims': [13, 14, 14, 12, 12, 11, 13, 15], 'Nk2': 18400, 'analytic_conductor': 36.731184929788974, '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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 104, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33559032, '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, 3, 4, 4, 5, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '4600.2.a', 'level': 4600, 'level_is_prime': False, 'level_is_prime_power': False, 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mf_twists_nf • Show schema
Hide schema
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id: 1212733
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '4600.2.a.y', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '920.2.a.g', 'target_level': 920, 'twist_class_label': '920.2.a.g', 'twist_class_level': 920, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1212734
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '4600.2.a.y', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1840.2.a.t', 'target_level': 1840, 'twist_class_label': '920.2.a.g', 'twist_class_level': 920, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1212735
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '4600.2.a.y', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '4600.2.a.y', 'target_level': 4600, 'twist_class_label': '920.2.a.g', 'twist_class_level': 920, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1212736
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '4600.2.a.y', 'source_level': 4600, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4600.2.e.r', 'target_level': 4600, 'twist_class_label': '920.2.a.g', 'twist_class_level': 920, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1212737
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '4600.2.a.y', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '7360.2.a.ca', 'target_level': 7360, 'twist_class_label': '920.2.a.g', 'twist_class_level': 920, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1212738
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '4600.2.a.y', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '7360.2.a.cb', 'target_level': 7360, 'twist_class_label': '920.2.a.g', 'twist_class_level': 920, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1212739
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '4600.2.a.y', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '8280.2.a.bo', 'target_level': 8280, 'twist_class_label': '920.2.a.g', 'twist_class_level': 920, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1212740
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 25, 'source_is_minimal': False, 'source_label': '4600.2.a.y', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 56, 'target_is_minimal': False, 'target_label': '9200.2.a.cd', 'target_level': 9200, 'twist_class_label': '920.2.a.g', 'twist_class_level': 920, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3646825
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 108086391090450936, 'p': 2}
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id: 3646826
{'charpoly_factorization': [[[3, -6, 0, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 3}
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id: 3646827
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 108086391090450936, 'p': 5}
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id: 3646828
{'charpoly_factorization': [[[-2, -3, 3, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 7}
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id: 3646829
{'charpoly_factorization': [[[-12, -15, -3, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 11}
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id: 3646830
{'charpoly_factorization': [[[-29, -18, 0, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 13}
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id: 3646831
{'charpoly_factorization': [[[-12, -15, -3, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 17}
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id: 3646832
{'charpoly_factorization': [[[-48, -33, -3, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 19}
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id: 3646833
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 108086391090450936, 'p': 23}
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id: 3646834
{'charpoly_factorization': [[[12, -6, -3, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 29}
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id: 3646835
{'charpoly_factorization': [[[249, -42, -6, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 31}
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id: 3646836
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 108086391090450936, 'p': 37}
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id: 3646837
{'charpoly_factorization': [[[-69, -60, 6, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 41}
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id: 3646838
{'charpoly_factorization': [[[-32, 72, 18, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 43}
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id: 3646839
{'charpoly_factorization': [[[76, 66, 15, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 47}
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id: 3646840
{'charpoly_factorization': [[[-536, -132, 6, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 53}
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id: 3646841
{'charpoly_factorization': [[[32, -36, -6, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 59}
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id: 3646842
{'charpoly_factorization': [[[-596, 225, -27, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 61}
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id: 3646843
{'charpoly_factorization': [[[-2944, -240, 12, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 67}
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id: 3646844
{'charpoly_factorization': [[[203, -60, -6, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 71}
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id: 3646845
{'charpoly_factorization': [[[588, -42, -15, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 73}
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id: 3646846
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 108086391090450936, 'p': 79}
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id: 3646847
{'charpoly_factorization': [[[64, -60, -12, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 83}
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id: 3646848
{'charpoly_factorization': [[[608, 264, 30, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 89}
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id: 3646849
{'charpoly_factorization': [[[-138, -69, 9, 1], 1]], 'hecke_orbit_code': 108086391090450936, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '4600.2.a.y', 'level': 4600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 257323000
{'hecke_orbit_code': 108086391090450936, 'n': 1, 'trace_an': 3}
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id: 257323001
{'hecke_orbit_code': 108086391090450936, 'n': 2, 'trace_an': 0}
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id: 257323002
{'hecke_orbit_code': 108086391090450936, 'n': 3, 'trace_an': 0}
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id: 257323003
{'hecke_orbit_code': 108086391090450936, 'n': 4, 'trace_an': 0}
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id: 257323004
{'hecke_orbit_code': 108086391090450936, 'n': 5, 'trace_an': 0}
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id: 257323005
{'hecke_orbit_code': 108086391090450936, 'n': 6, 'trace_an': 0}
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id: 257323006
{'hecke_orbit_code': 108086391090450936, 'n': 7, 'trace_an': -3}
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id: 257323007
{'hecke_orbit_code': 108086391090450936, 'n': 8, 'trace_an': 0}
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id: 257323008
{'hecke_orbit_code': 108086391090450936, 'n': 9, 'trace_an': 3}
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id: 257323009
{'hecke_orbit_code': 108086391090450936, 'n': 10, 'trace_an': 0}
-
id: 257323010
{'hecke_orbit_code': 108086391090450936, 'n': 11, 'trace_an': 3}
-
id: 257323011
{'hecke_orbit_code': 108086391090450936, 'n': 12, 'trace_an': 0}
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id: 257323012
{'hecke_orbit_code': 108086391090450936, 'n': 13, 'trace_an': 0}
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id: 257323013
{'hecke_orbit_code': 108086391090450936, 'n': 14, 'trace_an': 0}
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id: 257323014
{'hecke_orbit_code': 108086391090450936, 'n': 15, 'trace_an': 0}
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id: 257323015
{'hecke_orbit_code': 108086391090450936, 'n': 16, 'trace_an': 0}
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id: 257323016
{'hecke_orbit_code': 108086391090450936, 'n': 17, 'trace_an': 3}
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id: 257323017
{'hecke_orbit_code': 108086391090450936, 'n': 18, 'trace_an': 0}
-
id: 257323018
{'hecke_orbit_code': 108086391090450936, 'n': 19, 'trace_an': 3}
-
id: 257323019
{'hecke_orbit_code': 108086391090450936, 'n': 20, 'trace_an': 0}
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id: 257323020
{'hecke_orbit_code': 108086391090450936, 'n': 21, 'trace_an': 12}
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id: 257323021
{'hecke_orbit_code': 108086391090450936, 'n': 22, 'trace_an': 0}
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id: 257323022
{'hecke_orbit_code': 108086391090450936, 'n': 23, 'trace_an': -3}
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id: 257323023
{'hecke_orbit_code': 108086391090450936, 'n': 24, 'trace_an': 0}
-
id: 257323024
{'hecke_orbit_code': 108086391090450936, 'n': 25, 'trace_an': 0}
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id: 257323025
{'hecke_orbit_code': 108086391090450936, 'n': 26, 'trace_an': 0}
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id: 257323026
{'hecke_orbit_code': 108086391090450936, 'n': 27, 'trace_an': -9}
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