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mf_newforms • Show schema
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{'Nk2': 12100, 'analytic_conductor': 24.154746611437314, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [11, -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': [3025, 1, [727, 2301], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [1, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 24, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -4, 0, 1]], [3, [1, 0, -4, 0, 1]], [19, [-26, 2, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717819857, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3025.2.a.z', 'level': 3025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 11], 'level_radical': 55, 'minimal_twist': '605.2.b.d', 'nf_label': '4.4.2304.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{3}q^{3}+\\beta _{2}q^{4}+q^{6}+(\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3025.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1542849219531909593, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.739', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.280', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, -1], [0, 0, 1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 2], [0, 0, 0, 1], [-1, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 2], [0, -3, 0, -3], [0, 0, 1, 0], [0, 0, 0, 0], [-1, 0, -2, 0], [0, 0, 0, -2], [0, -3, 0, -1], [-1, 0, -3, 0], [0, 0, 0, 0], [-3, 0, 2, 0], [0, 0, 0, 0], [0, -3, 0, 1], [-2, 0, 1, 0], [0, 0, 0, 0], [-3, 0, -3, 0], [0, -1, 0, 2], [0, 0, 0, -3], [0, 0, 4, 0], [0, 0, 0, 0], [-7, 0, 1, 0], [0, -5, 0, -4], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [-3, 0, -1, 0], [0, 4, 0, 2], [0, -7, 0, -3], [3, 0, -3, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 2], [0, -5, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [-7, 0, -3, 0], [0, 4, 0, 7], [0, -2, 0, -3], [-1, 0, -3, 0], [0, 0, 0, 0], [4, 0, -2, 0], [0, -3, 0, 3], [0, 7, 0, 3], [-4, 0, -1, 0], [0, 0, 0, 0], [3, 0, -2, 0], [0, -3, 0, -5], [0, 8, 0, 4], [-3, 0, -1, 0], [0, 0, 0, 0], [10, 0, -1, 0], [0, -5, 0, 1], [0, -1, 0, 1], [-4, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -8, 0, -1], [0, 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[0, 58, 0, 22], [-36, 0, -29, 0], [67, 0, -19, 0], [0, -22, 0, 34], [39, 0, 8, 0], [0, 19, 0, -1], [27, 0, 3, 0], [0, 59, 0, 19], [0, 44, 0, -4], [0, 39, 0, 19], [61, 0, -19, 0], [0, -20, 0, -34], [-54, 0, -2, 0], [-3, 0, 37, 0], [0, -38, 0, -1], [0, 31, 0, -29], [0, 11, 0, 15], [12, 0, 4, 0], [0, 48, 0, -12], [0, -17, 0, 46], [39, 0, 21, 0], [0, 16, 0, -10], [0, 40, 0, 40], [0, 39, 0, 46], [12, 0, 2, 0], [-28, 0, 6, 0], [-36, 0, -2, 0]], 'char_orbit_index': 1, 'field_poly': [1, 0, -4, 0, 1], 'hecke_orbit_code': 112589990717819857, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [2, 0, 1, 0], [0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-2, 0, 1, 0], [0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '3025.2.a.z', 'level': 3025, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [11, -1]], 38, 9], [[[5, 1], [11, 1]], 37, 9], [[[5, -1], [11, 1]], 44, 7], [[[5, 1], [11, -1]], 40, 16]], 'ALdims': [37, 40, 44, 38], 'Nk2': 12100, 'analytic_conductor': 24.154746611437314, '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': [3025, 1, [727, 2301], [1, 1]], 'conrey_index': 1, 'cusp_dim': 295, 'dim': 159, 'eis_dim': 71, 'eis_new_dim': 27, 'hecke_cutter_primes': [2, 3, 19], 'hecke_orbit_code': 33557457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 8, 8, 8, 8, 8, 8, 12], 'label': '3025.2.a', 'level': 3025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 11], 'level_radical': 55, 'mf_dim': 366, 'mf_new_dim': 186, 'num_forms': 41, 'plus_dim': 75, 'prim_orbit_index': 1, 'relative_dim': 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mf_twists_nf • Show schema
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id: 1037891
{'conductor': 55, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3025.2.a.z', 'source_level': 3025, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '605.2.b.d', 'target_level': 605, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1037892
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3025.2.a.z', 'source_level': 3025, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '605.2.b.e', 'target_level': 605, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1037893
{'conductor': 55, 'degree': 8, 'multiplicity': 8, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3025.2.a.z', 'source_level': 3025, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '605.2.j.e', 'target_level': 605, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '55.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1037894
{'conductor': 55, 'degree': 8, 'multiplicity': 8, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3025.2.a.z', 'source_level': 3025, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '605.2.j.f', 'target_level': 605, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '55.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1037895
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3025.2.a.z', 'source_level': 3025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3025.2.a.y', 'target_level': 3025, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1037896
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3025.2.a.z', 'source_level': 3025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3025.2.a.y', 'target_level': 3025, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1037897
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3025.2.a.z', 'source_level': 3025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3025.2.a.z', 'target_level': 3025, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1037898
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 26, 'source_is_minimal': False, 'source_label': '3025.2.a.z', 'source_level': 3025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3025.2.a.z', 'target_level': 3025, 'twist_class_label': '605.2.b.d', 'twist_class_level': 605, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2970000
{'charpoly_factorization': [[[1, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 2}
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id: 2970001
{'charpoly_factorization': [[[1, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 3}
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id: 2970002
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 112589990717819857, 'p': 5}
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id: 2970003
{'charpoly_factorization': [[[9, 0, -12, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 7}
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id: 2970004
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 112589990717819857, 'p': 11}
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id: 2970005
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 13}
-
id: 2970006
{'charpoly_factorization': [[[16, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 17}
-
id: 2970007
{'charpoly_factorization': [[[-26, 2, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 19}
-
id: 2970008
{'charpoly_factorization': [[[484, 0, -52, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 23}
-
id: 2970009
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 29}
-
id: 2970010
{'charpoly_factorization': [[[46, 14, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 31}
-
id: 2970011
{'charpoly_factorization': [[[144, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 37}
-
id: 2970012
{'charpoly_factorization': [[[-3, 0, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 41}
-
id: 2970013
{'charpoly_factorization': [[[4761, 0, -156, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 43}
-
id: 2970014
{'charpoly_factorization': [[[2209, 0, -148, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 47}
-
id: 2970015
{'charpoly_factorization': [[[676, 0, -148, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 53}
-
id: 2970016
{'charpoly_factorization': [[[6, 6, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 59}
-
id: 2970017
{'charpoly_factorization': [[[97, -20, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 61}
-
id: 2970018
{'charpoly_factorization': [[[1089, 0, -228, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 67}
-
id: 2970019
{'charpoly_factorization': [[[-18, 6, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 71}
-
id: 2970020
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 73}
-
id: 2970021
{'charpoly_factorization': [[[-8, -4, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 79}
-
id: 2970022
{'charpoly_factorization': [[[-98, 0, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 83}
-
id: 2970023
{'charpoly_factorization': [[[-3, 6, 1], 2]], 'hecke_orbit_code': 112589990717819857, 'p': 89}
-
id: 2970024
{'charpoly_factorization': [[[36, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 112589990717819857, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 26, 'label': '3025.2.a.z', 'level': 3025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 258728000
{'hecke_orbit_code': 112589990717819857, 'n': 1, 'trace_an': 4}
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id: 258728001
{'hecke_orbit_code': 112589990717819857, 'n': 2, 'trace_an': 0}
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id: 258728002
{'hecke_orbit_code': 112589990717819857, 'n': 3, 'trace_an': 0}
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id: 258728003
{'hecke_orbit_code': 112589990717819857, 'n': 4, 'trace_an': 0}
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id: 258728004
{'hecke_orbit_code': 112589990717819857, 'n': 5, 'trace_an': 0}
-
id: 258728005
{'hecke_orbit_code': 112589990717819857, 'n': 6, 'trace_an': 4}
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id: 258728006
{'hecke_orbit_code': 112589990717819857, 'n': 7, 'trace_an': 0}
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id: 258728007
{'hecke_orbit_code': 112589990717819857, 'n': 8, 'trace_an': 0}
-
id: 258728008
{'hecke_orbit_code': 112589990717819857, 'n': 9, 'trace_an': -4}
-
id: 258728009
{'hecke_orbit_code': 112589990717819857, 'n': 10, 'trace_an': 0}
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id: 258728010
{'hecke_orbit_code': 112589990717819857, 'n': 11, 'trace_an': 0}
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id: 258728011
{'hecke_orbit_code': 112589990717819857, 'n': 12, 'trace_an': 0}
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id: 258728012
{'hecke_orbit_code': 112589990717819857, 'n': 13, 'trace_an': 0}
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id: 258728013
{'hecke_orbit_code': 112589990717819857, 'n': 14, 'trace_an': 0}
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id: 258728014
{'hecke_orbit_code': 112589990717819857, 'n': 15, 'trace_an': 0}
-
id: 258728015
{'hecke_orbit_code': 112589990717819857, 'n': 16, 'trace_an': -4}
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id: 258728016
{'hecke_orbit_code': 112589990717819857, 'n': 17, 'trace_an': 0}
-
id: 258728017
{'hecke_orbit_code': 112589990717819857, 'n': 18, 'trace_an': 0}
-
id: 258728018
{'hecke_orbit_code': 112589990717819857, 'n': 19, 'trace_an': -4}
-
id: 258728019
{'hecke_orbit_code': 112589990717819857, 'n': 20, 'trace_an': 0}
-
id: 258728020
{'hecke_orbit_code': 112589990717819857, 'n': 21, 'trace_an': -12}
-
id: 258728021
{'hecke_orbit_code': 112589990717819857, 'n': 22, 'trace_an': 0}
-
id: 258728022
{'hecke_orbit_code': 112589990717819857, 'n': 23, 'trace_an': 0}
-
id: 258728023
{'hecke_orbit_code': 112589990717819857, 'n': 24, 'trace_an': -8}
-
id: 258728024
{'hecke_orbit_code': 112589990717819857, 'n': 25, 'trace_an': 0}
-
id: 258728025
{'hecke_orbit_code': 112589990717819857, 'n': 26, 'trace_an': -12}
-
id: 258728026
{'hecke_orbit_code': 112589990717819857, 'n': 27, 'trace_an': 0}
-
id: 258728027
{'hecke_orbit_code': 112589990717819857, 'n': 28, 'trace_an': 0}
-
id: 258728028
{'hecke_orbit_code': 112589990717819857, 'n': 29, 'trace_an': 0}
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id: 258728029
{'hecke_orbit_code': 112589990717819857, 'n': 30, 'trace_an': 0}
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