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mf_newforms • Show schema
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{'Nk2': 9504, 'analytic_conductor': 18.97245552025622, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -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': [2376, 1, [1783, 1189, 353, 1729], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 788, 'field_disc_factorization': [[2, 2], [197, 1]], 'field_poly': [-3, -7, -1, 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, [-4, -8, 2, 1]], [7, [-3, -7, -1, 1]], [17, [-27, -5, 5, 1]], [23, [-11, 7, 7, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632264, 'hecke_ring_generator_nbound': 7, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2376.2.a.l', 'level': 2376, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'minimal_twist': '2376.2.a.l', 'nf_label': '3.3.788.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{2})q^{5}+\\beta _{1}q^{7}-q^{11}+(1+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2376.2.a', 'trace_display': [0, 0, -2, 1], 'trace_hash': 286623708599315823, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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6], [-17, 10, 18], [-32, -7, 6], [63, -6, -7], [-64, 6, -4]], 'char_orbit_index': 1, 'field_poly': [-3, -7, -1, 1], 'hecke_orbit_code': 49539595934632264, '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, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-4, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '2376.2.a.l', 'level': 2376, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 6, 7, 4, 5, 4, 5, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [44, 46, 48, 45, 51, 46, 42, 47], 'Nk2': 9504, 'analytic_conductor': 18.97245552025622, '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': [2376, 1, [1783, 1189, 353, 1729], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 409, 'dim': 40, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17, 23], 'hecke_orbit_code': 33556808, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '2376.2.a', 'level': 2376, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 11], 'level_radical': 66, 'mf_dim': 456, 'mf_new_dim': 40, 'num_forms': 18, 'plus_dim': 16, 'prim_orbit_index': 1, 'relative_dim': 40, 'sturm_bound': 864, 'trace_bound': 13, 'trace_display': [0, 0, 0, -4], 'traces': [40, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -244, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, -68, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 428, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, -172, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 176, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 930340
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2376.2.a.l', 'source_level': 2376, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '2376.2.a.l', 'target_level': 2376, 'twist_class_label': '2376.2.a.l', 'twist_class_level': 2376, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 930341
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2376.2.a.l', 'source_level': 2376, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '2376.2.a.q', 'target_level': 2376, 'twist_class_label': '2376.2.a.l', 'twist_class_level': 2376, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 930342
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2376.2.a.l', 'source_level': 2376, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '4752.2.a.bh', 'target_level': 4752, 'twist_class_label': '2376.2.a.l', 'twist_class_level': 2376, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 930343
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 12, 'source_is_minimal': True, 'source_label': '2376.2.a.l', 'source_level': 2376, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '4752.2.a.bp', 'target_level': 4752, 'twist_class_label': '2376.2.a.l', 'twist_class_level': 2376, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2615175
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 49539595934632264, 'p': 2}
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id: 2615176
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 49539595934632264, 'p': 3}
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id: 2615177
{'charpoly_factorization': [[[-4, -8, 2, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 5}
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id: 2615178
{'charpoly_factorization': [[[-3, -7, -1, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 7}
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id: 2615179
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 49539595934632264, 'p': 11}
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id: 2615180
{'charpoly_factorization': [[[44, -32, 0, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 13}
-
id: 2615181
{'charpoly_factorization': [[[-27, -5, 5, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 17}
-
id: 2615182
{'charpoly_factorization': [[[36, -44, 2, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 19}
-
id: 2615183
{'charpoly_factorization': [[[-11, 7, 7, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 23}
-
id: 2615184
{'charpoly_factorization': [[[1, 9, 7, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 29}
-
id: 2615185
{'charpoly_factorization': [[[-12, -4, 4, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 31}
-
id: 2615186
{'charpoly_factorization': [[[-13, -29, -3, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 37}
-
id: 2615187
{'charpoly_factorization': [[[3, -11, 9, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 41}
-
id: 2615188
{'charpoly_factorization': [[[-199, -77, 5, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 43}
-
id: 2615189
{'charpoly_factorization': [[[-187, -37, 7, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 47}
-
id: 2615190
{'charpoly_factorization': [[[-48, 56, 16, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 53}
-
id: 2615191
{'charpoly_factorization': [[[-1137, -37, 17, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 59}
-
id: 2615192
{'charpoly_factorization': [[[-236, 124, -20, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 61}
-
id: 2615193
{'charpoly_factorization': [[[236, 124, 20, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 67}
-
id: 2615194
{'charpoly_factorization': [[[1200, -200, -4, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 71}
-
id: 2615195
{'charpoly_factorization': [[[1264, -104, -12, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 73}
-
id: 2615196
{'charpoly_factorization': [[[-65, -93, -5, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 79}
-
id: 2615197
{'charpoly_factorization': [[[-2172, -232, 8, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 83}
-
id: 2615198
{'charpoly_factorization': [[[-1496, -148, 14, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 89}
-
id: 2615199
{'charpoly_factorization': [[[-499, 199, -25, 1], 1]], 'hecke_orbit_code': 49539595934632264, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '2376.2.a.l', 'level': 2376, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 55780609
{'hecke_orbit_code': 49539595934632264, 'n': 1, 'trace_an': 3}
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id: 55780610
{'hecke_orbit_code': 49539595934632264, 'n': 2, 'trace_an': 0}
-
id: 55780611
{'hecke_orbit_code': 49539595934632264, 'n': 3, 'trace_an': 0}
-
id: 55780612
{'hecke_orbit_code': 49539595934632264, 'n': 4, 'trace_an': 0}
-
id: 55780613
{'hecke_orbit_code': 49539595934632264, 'n': 5, 'trace_an': -2}
-
id: 55780614
{'hecke_orbit_code': 49539595934632264, 'n': 6, 'trace_an': 0}
-
id: 55780615
{'hecke_orbit_code': 49539595934632264, 'n': 7, 'trace_an': 1}
-
id: 55780616
{'hecke_orbit_code': 49539595934632264, 'n': 8, 'trace_an': 0}
-
id: 55780617
{'hecke_orbit_code': 49539595934632264, 'n': 9, 'trace_an': 0}
-
id: 55780618
{'hecke_orbit_code': 49539595934632264, 'n': 10, 'trace_an': 0}
-
id: 55780619
{'hecke_orbit_code': 49539595934632264, 'n': 11, 'trace_an': -3}
-
id: 55780620
{'hecke_orbit_code': 49539595934632264, 'n': 12, 'trace_an': 0}
-
id: 55780621
{'hecke_orbit_code': 49539595934632264, 'n': 13, 'trace_an': 0}
-
id: 55780622
{'hecke_orbit_code': 49539595934632264, 'n': 14, 'trace_an': 0}
-
id: 55780623
{'hecke_orbit_code': 49539595934632264, 'n': 15, 'trace_an': 0}
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id: 55780624
{'hecke_orbit_code': 49539595934632264, 'n': 16, 'trace_an': 0}
-
id: 55780625
{'hecke_orbit_code': 49539595934632264, 'n': 17, 'trace_an': -5}
-
id: 55780626
{'hecke_orbit_code': 49539595934632264, 'n': 18, 'trace_an': 0}
-
id: 55780627
{'hecke_orbit_code': 49539595934632264, 'n': 19, 'trace_an': -2}
-
id: 55780628
{'hecke_orbit_code': 49539595934632264, 'n': 20, 'trace_an': 0}
-
id: 55780629
{'hecke_orbit_code': 49539595934632264, 'n': 21, 'trace_an': 0}
-
id: 55780630
{'hecke_orbit_code': 49539595934632264, 'n': 22, 'trace_an': 0}
-
id: 55780631
{'hecke_orbit_code': 49539595934632264, 'n': 23, 'trace_an': -7}
-
id: 55780632
{'hecke_orbit_code': 49539595934632264, 'n': 24, 'trace_an': 0}
-
id: 55780633
{'hecke_orbit_code': 49539595934632264, 'n': 25, 'trace_an': 5}
-
id: 55780634
{'hecke_orbit_code': 49539595934632264, 'n': 26, 'trace_an': 0}
-
id: 55780635
{'hecke_orbit_code': 49539595934632264, 'n': 27, 'trace_an': 0}
-
id: 55780636
{'hecke_orbit_code': 49539595934632264, 'n': 28, 'trace_an': 0}
-
id: 55780637
{'hecke_orbit_code': 49539595934632264, 'n': 29, 'trace_an': -7}
-
id: 55780638
{'hecke_orbit_code': 49539595934632264, 'n': 30, 'trace_an': 0}
-
id: 55780639
{'hecke_orbit_code': 49539595934632264, 'n': 31, 'trace_an': -4}
-
id: 55780640
{'hecke_orbit_code': 49539595934632264, 'n': 32, 'trace_an': 0}
-
id: 55780641
{'hecke_orbit_code': 49539595934632264, 'n': 33, 'trace_an': 0}
-
id: 55780642
{'hecke_orbit_code': 49539595934632264, 'n': 34, 'trace_an': 0}
-
id: 55780643
{'hecke_orbit_code': 49539595934632264, 'n': 35, 'trace_an': -4}
-
id: 55780644
{'hecke_orbit_code': 49539595934632264, 'n': 36, 'trace_an': 0}
-
id: 55780645
{'hecke_orbit_code': 49539595934632264, 'n': 37, 'trace_an': 3}
-
id: 55780646
{'hecke_orbit_code': 49539595934632264, 'n': 38, 'trace_an': 0}
-
id: 55780647
{'hecke_orbit_code': 49539595934632264, 'n': 39, 'trace_an': 0}
-
id: 55780648
{'hecke_orbit_code': 49539595934632264, 'n': 40, 'trace_an': 0}
-
id: 55780649
{'hecke_orbit_code': 49539595934632264, 'n': 41, 'trace_an': -9}
-
id: 55780650
{'hecke_orbit_code': 49539595934632264, 'n': 42, 'trace_an': 0}
-
id: 55780651
{'hecke_orbit_code': 49539595934632264, 'n': 43, 'trace_an': -5}
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id: 55780652
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