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mf_newforms • Show schema
Hide schema
{'Nk2': 158400, 'analytic_conductor': 316.20759200427034, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [11, -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': [39600, 1, [24751, 29701, 35201, 22177, 14401], [104, 104, 104, 104, 104]], 'cm_discs': [], 'conrey_index': 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': -1, 'hecke_orbit': 104, 'hecke_orbit_code': 463870761652755120, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '39600.2.a.dz', 'level': 39600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{7}+q^{11}-5q^{13}+q^{19}-3q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/39600/dz'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '39600.2.a', 'trace_display': [0, 0, 0, 2], 'traces': [1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, -5, 0, 0, 0, 0, 0, 1, 0, 0, 0, -3, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 11, 0, 0, 0, 12, 0, -3, 0, 0, 0, 12, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, -9, 0, -2, 0, 0, 0, 2, 0, -8, 0, 0, 0, -9, 0, 0, 0, 0, 0, 3, 0, -10, 0, 0, 0, 0, 0, 1, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 39600.2.a.dz does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [23, 23, 24, 24, 35, 32, 35, 41, 22, 22, 26, 26, 34, 34, 37, 37], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [500, 517, 510, 504, 496, 499, 496, 490, 518, 500, 502, 508, 497, 497, 494, 494], 'Nk2': 158400, 'analytic_conductor': 316.20759200427034, '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': [39600, 1, [24751, 29701, 35201, 22177, 14401], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 8497, 'dim': 475, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33594032, '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, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7], 'label': '39600.2.a', 'level': 39600, '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, 5, 11], 'level_radical': 330, 'mf_dim': 8784, 'mf_new_dim': 475, 'num_forms': 256, 'plus_dim': 233, 'prim_orbit_index': 1, 'relative_dim': 475, 'sturm_bound': 17280, 'trace_display': [0, 0, 0, -4], 'traces': [475, 0, 0, 0, 0, 0, -4, 0, 0, 0, 3, 0, 2, 0, 0, 0, -2, 0, -12, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 8, 0, 0, 0, 28, 0, 467, 0, 0, 0, 2, 0, 0, 0, 0, 0, 38, 0, 18, 0, 0, 0, 0, 0, 14, 0, 0, 0, 6, 0, -18, 0, 0, 0, 0, 0, -60, 0, 0, 0, 32, 0, 0, 0, 0, 0, -6, 0, -48, 0, 0, 0, 0, 0, -14, 0, 0, 0, -62, 0, -20, 0, 0, 0, -72, 0, -14, 0, 0, 0, -38, 0, 0, 0, 0, 0, -56, 0, 475, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -16, 0, 0, 0, -6, 0, -56, 0, 0, 0, 10, 0, 0, 0, 0, 0, -62, 0, -36, 0, 0, 0, 0, 0, 2, 0, 0, 0, 48, 0, -80, 0, 0, 0, 16, 0, 477, 0, 0, 0, -54, 0, 0, 0, 0, 0, 38, 0, 18, 0, 0, 0, 0, 0, 6, 0, 0, 0, 30, 0, -10, 0, 0, 0, -30, 0, 32, 0, 0, 0, 40, 0, 0, 0, 0, 0, -4, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -70, 0, 0, 0, -56, 0, 18, 0, 0, 0, 22, 0, 0, 0, 0, 0, -100, 0, -2, 0, 0, 0, 0, 0, -40, 0, 0, 0, 14, 0, 8, 0, 0, 0, -10, 0, -52, 0, 0, 0, -4, 0, 0, 0, 0, 0, -94, 0, -144, 0, 0, 0, 0, 0, -14, 0, 0, 0, -34, 0, -28, 0, 0, 0, 104, 0, 513, 0, 0, 0, 58, 0, 0, 0, 0, 0, 72, 0, -16, 0, 0, 0, 0, 0, 36, 0, 0, 0, -136, 0, 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0, 0, 0, 0, 28, 0, 0, 0, 88, 0, 26, 0, 0, 0, -82, 0, -2, 0, 0, 0, -100, 0, 0, 0, 0, 0, -60, 0, -114, 0, 0, 0, 0, 0, 82, 0, 0, 0, 114, 0, 126, 0, 0, 0, -6, 0, -8, 0, 0, 0, -78, 0, 0, 0, 0, 0, 24, 0, 42, 0, 0, 0, 0, 0, 88, 0, 0, 0, -18, 0, 78, 0, 0, 0, 10, 0, 84, 0, 0, 0, 72, 0, 0, 0, 0, 0, -12, 0, 50, 0, 0, 0, 0, 0, -60, 0, 0, 0, 130, 0, 128, 0, 0, 0, -48, 0, -30, 0, 0, 0, 140, 0, 0, 0, 0, 0, -62, 0, -128, 0, 0, 0, 0, 0, -190, 0, 0, 0, -8, 0, 106, 0, 0, 0, 16, 0, 200, 0, 0, 0, -96, 0, 0, 0, 0, 0, -96, 0, -14, 0, 0, 0, 0, 0, 114, 0, 0, 0, -26, 0, -104, 0, 0, 0, 136, 0, -50, 0, 0, 0, 210, 0, 0, 0, 0, 0, -264, 0, -16, 0, 0, 0, 0, 0, 44, 0, 0, 0, -356, 0, -36, 0, 0, 0, -158, 0, -16, 0, 0, 0, -10, 0, 0, 0, 0, 0, -98, 0, 16, 0, 0, 0, 0, 0, -192, 0, 0, 0, -158, 0, -134, 0, 0, 0, 60, 0, -54, 0, 0, 0, -146, 0, 0, 0, 0, 0, -278, 0, 477, 0, 0, 0, 0, 0, -4, 0, 0, 0, -270, 0, 42, 0, 0, 0, -42, 0, 34, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 42, 0, 0, 0, 50, 0, -112, 0, 0, 0, -12, 0, -160, 0, 0, 0, 48, 0, 0, 0, 0, 0, 240, 0, 52, 0, 0, 0, 0, 0, -56, 0, 0, 0, -80, 0, -4, 0, 0, 0, -16, 0, -28, 0, 0, 0, -128, 0, 0, 0, 0, 0, 46, 0, -172, 0, 0, 0, 0, 0, 22, 0, 0, 0, 242, 0, 48, 0, 0, 0, -174, 0, 124, 0, 0, 0, 150, 0, 0, 0, 0, 0, 28, 0, 551, 0, 0, 0, 0, 0, 16, 0, 0, 0, -102, 0, 144, 0, 0, 0, 42, 0, -16, 0, 0, 0, -186, 0, 0, 0, 0, 0, 96, 0, -224, 0, 0, 0, 0, 0, 274, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 39600.2.a.dz does not appear in mf_twists_nf
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hecke_orbit_code 463870761652755120 does not appear in mf_hecke_charpolys
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label 39600.2.a.dz does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 181817042
{'hecke_orbit_code': 463870761652755120, 'n': 1, 'trace_an': 1}
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id: 181817043
{'hecke_orbit_code': 463870761652755120, 'n': 2, 'trace_an': 0}
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id: 181817044
{'hecke_orbit_code': 463870761652755120, 'n': 3, 'trace_an': 0}
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id: 181817045
{'hecke_orbit_code': 463870761652755120, 'n': 4, 'trace_an': 0}
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id: 181817046
{'hecke_orbit_code': 463870761652755120, 'n': 5, 'trace_an': 0}
-
id: 181817047
{'hecke_orbit_code': 463870761652755120, 'n': 6, 'trace_an': 0}
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id: 181817048
{'hecke_orbit_code': 463870761652755120, 'n': 7, 'trace_an': 2}
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id: 181817049
{'hecke_orbit_code': 463870761652755120, 'n': 8, 'trace_an': 0}
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id: 181817050
{'hecke_orbit_code': 463870761652755120, 'n': 9, 'trace_an': 0}
-
id: 181817051
{'hecke_orbit_code': 463870761652755120, 'n': 10, 'trace_an': 0}
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id: 181817052
{'hecke_orbit_code': 463870761652755120, 'n': 11, 'trace_an': 1}
-
id: 181817053
{'hecke_orbit_code': 463870761652755120, 'n': 12, 'trace_an': 0}
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id: 181817054
{'hecke_orbit_code': 463870761652755120, 'n': 13, 'trace_an': -5}
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id: 181817055
{'hecke_orbit_code': 463870761652755120, 'n': 14, 'trace_an': 0}
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id: 181817056
{'hecke_orbit_code': 463870761652755120, 'n': 15, 'trace_an': 0}
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id: 181817057
{'hecke_orbit_code': 463870761652755120, 'n': 16, 'trace_an': 0}
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id: 181817058
{'hecke_orbit_code': 463870761652755120, 'n': 17, 'trace_an': 0}
-
id: 181817059
{'hecke_orbit_code': 463870761652755120, 'n': 18, 'trace_an': 0}
-
id: 181817060
{'hecke_orbit_code': 463870761652755120, 'n': 19, 'trace_an': 1}
-
id: 181817061
{'hecke_orbit_code': 463870761652755120, 'n': 20, 'trace_an': 0}
-
id: 181817062
{'hecke_orbit_code': 463870761652755120, 'n': 21, 'trace_an': 0}
-
id: 181817063
{'hecke_orbit_code': 463870761652755120, 'n': 22, 'trace_an': 0}
-
id: 181817064
{'hecke_orbit_code': 463870761652755120, 'n': 23, 'trace_an': -3}
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id: 181817065
{'hecke_orbit_code': 463870761652755120, 'n': 24, 'trace_an': 0}
-
id: 181817066
{'hecke_orbit_code': 463870761652755120, 'n': 25, 'trace_an': 0}
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id: 181817067
{'hecke_orbit_code': 463870761652755120, 'n': 26, 'trace_an': 0}
-
id: 181817068
{'hecke_orbit_code': 463870761652755120, 'n': 27, 'trace_an': 0}
-
id: 181817069
{'hecke_orbit_code': 463870761652755120, 'n': 28, 'trace_an': 0}
-
id: 181817070
{'hecke_orbit_code': 463870761652755120, 'n': 29, 'trace_an': 3}
-
id: 181817071
{'hecke_orbit_code': 463870761652755120, 'n': 30, 'trace_an': 0}
-
id: 181817072
{'hecke_orbit_code': 463870761652755120, 'n': 31, 'trace_an': 1}
-
id: 181817073
{'hecke_orbit_code': 463870761652755120, 'n': 32, 'trace_an': 0}
-
id: 181817074
{'hecke_orbit_code': 463870761652755120, 'n': 33, 'trace_an': 0}
-
id: 181817075
{'hecke_orbit_code': 463870761652755120, 'n': 34, 'trace_an': 0}
-
id: 181817076
{'hecke_orbit_code': 463870761652755120, 'n': 35, 'trace_an': 0}
-
id: 181817077
{'hecke_orbit_code': 463870761652755120, 'n': 36, 'trace_an': 0}
-
id: 181817078
{'hecke_orbit_code': 463870761652755120, 'n': 37, 'trace_an': -2}
-
id: 181817079
{'hecke_orbit_code': 463870761652755120, 'n': 38, 'trace_an': 0}
-
id: 181817080
{'hecke_orbit_code': 463870761652755120, 'n': 39, 'trace_an': 0}
-
id: 181817081
{'hecke_orbit_code': 463870761652755120, 'n': 40, 'trace_an': 0}
-
id: 181817082
{'hecke_orbit_code': 463870761652755120, 'n': 41, 'trace_an': 6}
-
id: 181817083
{'hecke_orbit_code': 463870761652755120, 'n': 42, 'trace_an': 0}
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id: 181817084
{'hecke_orbit_code': 463870761652755120, 'n': 43, 'trace_an': 11}
-
id: 181817085
{'hecke_orbit_code': 463870761652755120, 'n': 44, 'trace_an': 0}
-
id: 181817086
{'hecke_orbit_code': 463870761652755120, 'n': 45, 'trace_an': 0}
-
id: 181817087
{'hecke_orbit_code': 463870761652755120, 'n': 46, 'trace_an': 0}
-
id: 181817088
{'hecke_orbit_code': 463870761652755120, 'n': 47, 'trace_an': 12}
-
id: 181817089
{'hecke_orbit_code': 463870761652755120, 'n': 48, 'trace_an': 0}
-
id: 181817090
{'hecke_orbit_code': 463870761652755120, 'n': 49, 'trace_an': -3}
-
id: 181817091
{'hecke_orbit_code': 463870761652755120, 'n': 50, 'trace_an': 0}
-
id: 181817092
{'hecke_orbit_code': 463870761652755120, 'n': 51, 'trace_an': 0}
-
id: 181817093
{'hecke_orbit_code': 463870761652755120, 'n': 52, 'trace_an': 0}
-
id: 181817094
{'hecke_orbit_code': 463870761652755120, 'n': 53, 'trace_an': 12}
-
id: 181817095
{'hecke_orbit_code': 463870761652755120, 'n': 54, 'trace_an': 0}
-
id: 181817096
{'hecke_orbit_code': 463870761652755120, 'n': 55, 'trace_an': 0}
-
id: 181817097
{'hecke_orbit_code': 463870761652755120, 'n': 56, 'trace_an': 0}
-
id: 181817098
{'hecke_orbit_code': 463870761652755120, 'n': 57, 'trace_an': 0}
-
id: 181817099
{'hecke_orbit_code': 463870761652755120, 'n': 58, 'trace_an': 0}
-
id: 181817100
{'hecke_orbit_code': 463870761652755120, 'n': 59, 'trace_an': 6}
-
id: 181817101
{'hecke_orbit_code': 463870761652755120, 'n': 60, 'trace_an': 0}
-
id: 181817102
{'hecke_orbit_code': 463870761652755120, 'n': 61, 'trace_an': 2}
-
id: 181817103
{'hecke_orbit_code': 463870761652755120, 'n': 62, 'trace_an': 0}
-
id: 181817104
{'hecke_orbit_code': 463870761652755120, 'n': 63, 'trace_an': 0}
-
id: 181817105
{'hecke_orbit_code': 463870761652755120, 'n': 64, 'trace_an': 0}
-
id: 181817106
{'hecke_orbit_code': 463870761652755120, 'n': 65, 'trace_an': 0}
-
id: 181817107
{'hecke_orbit_code': 463870761652755120, 'n': 66, 'trace_an': 0}
-
id: 181817108
{'hecke_orbit_code': 463870761652755120, 'n': 67, 'trace_an': 2}
-
id: 181817109
{'hecke_orbit_code': 463870761652755120, 'n': 68, 'trace_an': 0}
-
id: 181817110
{'hecke_orbit_code': 463870761652755120, 'n': 69, 'trace_an': 0}
-
id: 181817111
{'hecke_orbit_code': 463870761652755120, 'n': 70, 'trace_an': 0}
-
id: 181817112
{'hecke_orbit_code': 463870761652755120, 'n': 71, 'trace_an': -9}
-
id: 181817113
{'hecke_orbit_code': 463870761652755120, 'n': 72, 'trace_an': 0}
-
id: 181817114
{'hecke_orbit_code': 463870761652755120, 'n': 73, 'trace_an': -2}
-
id: 181817115
{'hecke_orbit_code': 463870761652755120, 'n': 74, 'trace_an': 0}
-
id: 181817116
{'hecke_orbit_code': 463870761652755120, 'n': 75, 'trace_an': 0}
-
id: 181817117
{'hecke_orbit_code': 463870761652755120, 'n': 76, 'trace_an': 0}
-
id: 181817118
{'hecke_orbit_code': 463870761652755120, 'n': 77, 'trace_an': 2}
-
id: 181817119
{'hecke_orbit_code': 463870761652755120, 'n': 78, 'trace_an': 0}
-
id: 181817120
{'hecke_orbit_code': 463870761652755120, 'n': 79, 'trace_an': -8}
-
id: 181817121
{'hecke_orbit_code': 463870761652755120, 'n': 80, 'trace_an': 0}
-
id: 181817122
{'hecke_orbit_code': 463870761652755120, 'n': 81, 'trace_an': 0}
-
id: 181817123
{'hecke_orbit_code': 463870761652755120, 'n': 82, 'trace_an': 0}
-
id: 181817124
{'hecke_orbit_code': 463870761652755120, 'n': 83, 'trace_an': -9}
-
id: 181817125
{'hecke_orbit_code': 463870761652755120, 'n': 84, 'trace_an': 0}
-
id: 181817126
{'hecke_orbit_code': 463870761652755120, 'n': 85, 'trace_an': 0}
-
id: 181817127
{'hecke_orbit_code': 463870761652755120, 'n': 86, 'trace_an': 0}
-
id: 181817128
{'hecke_orbit_code': 463870761652755120, 'n': 87, 'trace_an': 0}
-
id: 181817129
{'hecke_orbit_code': 463870761652755120, 'n': 88, 'trace_an': 0}
-
id: 181817130
{'hecke_orbit_code': 463870761652755120, 'n': 89, 'trace_an': 3}
-
id: 181817131
{'hecke_orbit_code': 463870761652755120, 'n': 90, 'trace_an': 0}
-
id: 181817132
{'hecke_orbit_code': 463870761652755120, 'n': 91, 'trace_an': -10}
-
id: 181817133
{'hecke_orbit_code': 463870761652755120, 'n': 92, 'trace_an': 0}
-
id: 181817134
{'hecke_orbit_code': 463870761652755120, 'n': 93, 'trace_an': 0}
-
id: 181817135
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id: 181817136
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id: 181817137
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id: 181817138
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id: 181817139
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id: 181817140
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id: 181817141
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