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mf_newforms • Show schema
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{'Nk2': 176400, 'analytic_conductor': 352.1402729138465, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [7, -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': [44100, 1, [22051, 34301, 15877, 9901], [94, 94, 94, 94]], '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': 94, 'hecke_orbit_code': 418834765379054660, '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': '44100.2.a.dp', 'level': 44100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+5q^{11}-3q^{13}+q^{17}-6q^{19}+6q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/44100/dp'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '44100.2.a', 'trace_display': [0, 0, 0, 0], 'traces': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, -3, 0, 0, 0, 1, 0, -6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 9, 0, 4, 0, 0, 0, 0, 0, -2, 0, 0, 0, -4, 0, -10, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, 0, -12, 0, 0, 0, -8, 0, 2, 0, 0, 0, 0, 0, 13, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -13, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 44100.2.a.dp does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 32, 30, 29, 38, 44, 48, 52, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48, 48, 48, 48, 48, 24, 24, 24, 24, 24, 24, 24, 24], 'ALdims_old': [601, 612, 608, 604, 612, 600, 604, 608, 592, 582, 587, 582, 568, 576, 568, 565], 'Nk2': 176400, 'analytic_conductor': 352.1402729138465, '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': [44100, 1, [22051, 34301, 15877, 9901], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 9793, 'dim': 324, 'eis_dim': 575, 'eis_new_dim': 0, 'hecke_orbit_code': 33598532, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], 'label': '44100.2.a', 'level': 44100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 10368, 'mf_new_dim': 324, 'num_forms': 166, 'plus_dim': 154, 'prim_orbit_index': 1, 'relative_dim': 324, 'sturm_bound': 20160, 'trace_display': [0, 0, 0, 0], 'traces': [324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -10, 0, 18, 0, 0, 0, 2, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 0, 0, 0, 20, 0, 0, 0, 20, 0, -4, 0, 0, 0, 0, 0, 30, 0, 0, 0, 42, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 6, 0, 6, 0, 0, 0, -36, 0, -6, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 306, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 0, -56, 0, 24, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 12, 0, 0, 0, -22, 0, 320, 0, 0, 0, -26, 0, 0, 0, 0, 0, -18, 0, 60, 0, 0, 0, 0, 0, 52, 0, 0, 0, 38, 0, -2, 0, 0, 0, -38, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, -42, 0, 0, 0, -38, 0, 48, 0, 0, 0, -44, 0, 0, 0, 0, 0, -28, 0, 36, 0, 0, 0, 0, 0, -16, 0, 0, 0, -88, 0, 58, 0, 0, 0, 18, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -50, 0, 0, 0, 86, 0, -14, 0, 0, 0, 0, 0, 346, 0, 0, 0, 110, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -96, 0, 4, 0, 0, 0, 4, 0, 160, 0, 0, 0, -46, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, -40, 0, 0, 0, 32, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 14, 0, 0, 0, 0, 0, 66, 0, 322, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 50, 0, 0, 0, -56, 0, 88, 0, 0, 0, -62, 0, 0, 0, 0, 0, 40, 0, 100, 0, 0, 0, 0, 0, -88, 0, 0, 0, 76, 0, -8, 0, 0, 0, 18, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, -24, 0, 0, 0, 32, 0, -68, 0, 0, 0, -112, 0, 0, 0, 0, 0, -18, 0, 68, 0, 0, 0, 0, 0, -78, 0, 0, 0, -82, 0, 102, 0, 0, 0, 2, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -40, 0, -84, 0, 0, 0, 0, 0, 92, 0, 0, 0, -128, 0, 40, 0, 0, 0, 0, 0, -38, 0, 0, 0, 166, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -134, 0, 78, 0, 0, 0, -2, 0, 450, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, -62, 0, 0, 0, 52, 0, 0, 0, 0, 0, -104, 0, 36, 0, 0, 0, 50, 0, 0, 0, 0, 0, 132, 0, -54, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 130, 0, 0, 0, -58, 0, 98, 0, 0, 0, -82, 0, 0, 0, 0, 0, -14, 0, 96, 0, 0, 0, 0, 0, -22, 0, 0, 0, 4, 0, -30, 0, 0, 0, -94, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -54, 0, 0, 0, -90, 0, 12, 0, 0, 0, -100, 0, 0, 0, 0, 0, -48, 0, 92, 0, 0, 0, 0, 0, -108, 0, 0, 0, -168, 0, 84, 0, 0, 0, 54, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 28, 0, -124, 0, 0, 0, 0, 0, -68, 0, 0, 0, 82, 0, -80, 0, 0, 0, 0, 0, -106, 0, 0, 0, 256, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 48, 0, 44, 0, 0, 0, 190, 0, 50, 0, 0, 0, -218, 0, 0, 0, 0, 0, 0, 0, -198, 0, 0, 0, 0, 0, -136, 0, 0, 0, -18, 0, 0, 0, 0, 0, 100, 0, 96, 0, 0, 0, 30, 0, 0, 0, 0, 0, -204, 0, 104, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 8, 0, 0, 0, -138, 0, -138, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 136, 0, 0, 0, 192, 0, -24, 0, 0, 0, 26, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, -214, 0, -140, 0, 0, 0, 58, 0, -12, 0, 0, 0, -172, 0, 0, 0, 0, 0, -266, 0, 20, 0, 0, 0, 0, 0, -142, 0, 0, 0, -186, 0, 158, 0, 0, 0, 14, 0, 0, 0, 0, 0, 142, 0, 0, 0, 0, 0, 8, 0, -28, 0, 0, 0, 0, 0, -124, 0, 0, 0, 432, 0, -16, 0, 0, 0, 0, 0, 82, 0, 0, 0, 264, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 170, 0, -60, 0, 0, 0, -96, 0, 92, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, 390, 0, 0, 0, 0, 0, -190, 0, 0, 0, -36, 0, 0, 0, 0, 0, -284, 0, 36, 0, 0, 0, 142, 0, 0, 0, 0, 0, 116, 0, 386, 0, 0, 0, 0, 0, -120, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 44100.2.a.dp does not appear in mf_twists_nf
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hecke_orbit_code 418834765379054660 does not appear in mf_hecke_charpolys
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label 44100.2.a.dp does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 181037842
{'hecke_orbit_code': 418834765379054660, 'n': 1, 'trace_an': 1}
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id: 181037843
{'hecke_orbit_code': 418834765379054660, 'n': 2, 'trace_an': 0}
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id: 181037844
{'hecke_orbit_code': 418834765379054660, 'n': 3, 'trace_an': 0}
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id: 181037845
{'hecke_orbit_code': 418834765379054660, 'n': 4, 'trace_an': 0}
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id: 181037846
{'hecke_orbit_code': 418834765379054660, 'n': 5, 'trace_an': 0}
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id: 181037847
{'hecke_orbit_code': 418834765379054660, 'n': 6, 'trace_an': 0}
-
id: 181037848
{'hecke_orbit_code': 418834765379054660, 'n': 7, 'trace_an': 0}
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id: 181037849
{'hecke_orbit_code': 418834765379054660, 'n': 8, 'trace_an': 0}
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id: 181037850
{'hecke_orbit_code': 418834765379054660, 'n': 9, 'trace_an': 0}
-
id: 181037851
{'hecke_orbit_code': 418834765379054660, 'n': 10, 'trace_an': 0}
-
id: 181037852
{'hecke_orbit_code': 418834765379054660, 'n': 11, 'trace_an': 5}
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id: 181037853
{'hecke_orbit_code': 418834765379054660, 'n': 12, 'trace_an': 0}
-
id: 181037854
{'hecke_orbit_code': 418834765379054660, 'n': 13, 'trace_an': -3}
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id: 181037855
{'hecke_orbit_code': 418834765379054660, 'n': 14, 'trace_an': 0}
-
id: 181037856
{'hecke_orbit_code': 418834765379054660, 'n': 15, 'trace_an': 0}
-
id: 181037857
{'hecke_orbit_code': 418834765379054660, 'n': 16, 'trace_an': 0}
-
id: 181037858
{'hecke_orbit_code': 418834765379054660, 'n': 17, 'trace_an': 1}
-
id: 181037859
{'hecke_orbit_code': 418834765379054660, 'n': 18, 'trace_an': 0}
-
id: 181037860
{'hecke_orbit_code': 418834765379054660, 'n': 19, 'trace_an': -6}
-
id: 181037861
{'hecke_orbit_code': 418834765379054660, 'n': 20, 'trace_an': 0}
-
id: 181037862
{'hecke_orbit_code': 418834765379054660, 'n': 21, 'trace_an': 0}
-
id: 181037863
{'hecke_orbit_code': 418834765379054660, 'n': 22, 'trace_an': 0}
-
id: 181037864
{'hecke_orbit_code': 418834765379054660, 'n': 23, 'trace_an': 6}
-
id: 181037865
{'hecke_orbit_code': 418834765379054660, 'n': 24, 'trace_an': 0}
-
id: 181037866
{'hecke_orbit_code': 418834765379054660, 'n': 25, 'trace_an': 0}
-
id: 181037867
{'hecke_orbit_code': 418834765379054660, 'n': 26, 'trace_an': 0}
-
id: 181037868
{'hecke_orbit_code': 418834765379054660, 'n': 27, 'trace_an': 0}
-
id: 181037869
{'hecke_orbit_code': 418834765379054660, 'n': 28, 'trace_an': 0}
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id: 181037870
{'hecke_orbit_code': 418834765379054660, 'n': 29, 'trace_an': 9}
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id: 181037871
{'hecke_orbit_code': 418834765379054660, 'n': 30, 'trace_an': 0}
-
id: 181037872
{'hecke_orbit_code': 418834765379054660, 'n': 31, 'trace_an': 4}
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id: 181037873
{'hecke_orbit_code': 418834765379054660, 'n': 32, 'trace_an': 0}
-
id: 181037874
{'hecke_orbit_code': 418834765379054660, 'n': 33, 'trace_an': 0}
-
id: 181037875
{'hecke_orbit_code': 418834765379054660, 'n': 34, 'trace_an': 0}
-
id: 181037876
{'hecke_orbit_code': 418834765379054660, 'n': 35, 'trace_an': 0}
-
id: 181037877
{'hecke_orbit_code': 418834765379054660, 'n': 36, 'trace_an': 0}
-
id: 181037878
{'hecke_orbit_code': 418834765379054660, 'n': 37, 'trace_an': -2}
-
id: 181037879
{'hecke_orbit_code': 418834765379054660, 'n': 38, 'trace_an': 0}
-
id: 181037880
{'hecke_orbit_code': 418834765379054660, 'n': 39, 'trace_an': 0}
-
id: 181037881
{'hecke_orbit_code': 418834765379054660, 'n': 40, 'trace_an': 0}
-
id: 181037882
{'hecke_orbit_code': 418834765379054660, 'n': 41, 'trace_an': -4}
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id: 181037883
{'hecke_orbit_code': 418834765379054660, 'n': 42, 'trace_an': 0}
-
id: 181037884
{'hecke_orbit_code': 418834765379054660, 'n': 43, 'trace_an': -10}
-
id: 181037885
{'hecke_orbit_code': 418834765379054660, 'n': 44, 'trace_an': 0}
-
id: 181037886
{'hecke_orbit_code': 418834765379054660, 'n': 45, 'trace_an': 0}
-
id: 181037887
{'hecke_orbit_code': 418834765379054660, 'n': 46, 'trace_an': 0}
-
id: 181037888
{'hecke_orbit_code': 418834765379054660, 'n': 47, 'trace_an': 1}
-
id: 181037889
{'hecke_orbit_code': 418834765379054660, 'n': 48, 'trace_an': 0}
-
id: 181037890
{'hecke_orbit_code': 418834765379054660, 'n': 49, 'trace_an': 0}
-
id: 181037891
{'hecke_orbit_code': 418834765379054660, 'n': 50, 'trace_an': 0}
-
id: 181037892
{'hecke_orbit_code': 418834765379054660, 'n': 51, 'trace_an': 0}
-
id: 181037893
{'hecke_orbit_code': 418834765379054660, 'n': 52, 'trace_an': 0}
-
id: 181037894
{'hecke_orbit_code': 418834765379054660, 'n': 53, 'trace_an': 4}
-
id: 181037895
{'hecke_orbit_code': 418834765379054660, 'n': 54, 'trace_an': 0}
-
id: 181037896
{'hecke_orbit_code': 418834765379054660, 'n': 55, 'trace_an': 0}
-
id: 181037897
{'hecke_orbit_code': 418834765379054660, 'n': 56, 'trace_an': 0}
-
id: 181037898
{'hecke_orbit_code': 418834765379054660, 'n': 57, 'trace_an': 0}
-
id: 181037899
{'hecke_orbit_code': 418834765379054660, 'n': 58, 'trace_an': 0}
-
id: 181037900
{'hecke_orbit_code': 418834765379054660, 'n': 59, 'trace_an': -8}
-
id: 181037901
{'hecke_orbit_code': 418834765379054660, 'n': 60, 'trace_an': 0}
-
id: 181037902
{'hecke_orbit_code': 418834765379054660, 'n': 61, 'trace_an': 8}
-
id: 181037903
{'hecke_orbit_code': 418834765379054660, 'n': 62, 'trace_an': 0}
-
id: 181037904
{'hecke_orbit_code': 418834765379054660, 'n': 63, 'trace_an': 0}
-
id: 181037905
{'hecke_orbit_code': 418834765379054660, 'n': 64, 'trace_an': 0}
-
id: 181037906
{'hecke_orbit_code': 418834765379054660, 'n': 65, 'trace_an': 0}
-
id: 181037907
{'hecke_orbit_code': 418834765379054660, 'n': 66, 'trace_an': 0}
-
id: 181037908
{'hecke_orbit_code': 418834765379054660, 'n': 67, 'trace_an': -12}
-
id: 181037909
{'hecke_orbit_code': 418834765379054660, 'n': 68, 'trace_an': 0}
-
id: 181037910
{'hecke_orbit_code': 418834765379054660, 'n': 69, 'trace_an': 0}
-
id: 181037911
{'hecke_orbit_code': 418834765379054660, 'n': 70, 'trace_an': 0}
-
id: 181037912
{'hecke_orbit_code': 418834765379054660, 'n': 71, 'trace_an': -8}
-
id: 181037913
{'hecke_orbit_code': 418834765379054660, 'n': 72, 'trace_an': 0}
-
id: 181037914
{'hecke_orbit_code': 418834765379054660, 'n': 73, 'trace_an': 2}
-
id: 181037915
{'hecke_orbit_code': 418834765379054660, 'n': 74, 'trace_an': 0}
-
id: 181037916
{'hecke_orbit_code': 418834765379054660, 'n': 75, 'trace_an': 0}
-
id: 181037917
{'hecke_orbit_code': 418834765379054660, 'n': 76, 'trace_an': 0}
-
id: 181037918
{'hecke_orbit_code': 418834765379054660, 'n': 77, 'trace_an': 0}
-
id: 181037919
{'hecke_orbit_code': 418834765379054660, 'n': 78, 'trace_an': 0}
-
id: 181037920
{'hecke_orbit_code': 418834765379054660, 'n': 79, 'trace_an': 13}
-
id: 181037921
{'hecke_orbit_code': 418834765379054660, 'n': 80, 'trace_an': 0}
-
id: 181037922
{'hecke_orbit_code': 418834765379054660, 'n': 81, 'trace_an': 0}
-
id: 181037923
{'hecke_orbit_code': 418834765379054660, 'n': 82, 'trace_an': 0}
-
id: 181037924
{'hecke_orbit_code': 418834765379054660, 'n': 83, 'trace_an': 4}
-
id: 181037925
{'hecke_orbit_code': 418834765379054660, 'n': 84, 'trace_an': 0}
-
id: 181037926
{'hecke_orbit_code': 418834765379054660, 'n': 85, 'trace_an': 0}
-
id: 181037927
{'hecke_orbit_code': 418834765379054660, 'n': 86, 'trace_an': 0}
-
id: 181037928
{'hecke_orbit_code': 418834765379054660, 'n': 87, 'trace_an': 0}
-
id: 181037929
{'hecke_orbit_code': 418834765379054660, 'n': 88, 'trace_an': 0}
-
id: 181037930
{'hecke_orbit_code': 418834765379054660, 'n': 89, 'trace_an': 4}
-
id: 181037931
{'hecke_orbit_code': 418834765379054660, 'n': 90, 'trace_an': 0}
-
id: 181037932
{'hecke_orbit_code': 418834765379054660, 'n': 91, 'trace_an': 0}
-
id: 181037933
{'hecke_orbit_code': 418834765379054660, 'n': 92, 'trace_an': 0}
-
id: 181037934
{'hecke_orbit_code': 418834765379054660, 'n': 93, 'trace_an': 0}
-
id: 181037935
{'hecke_orbit_code': 418834765379054660, 'n': 94, 'trace_an': 0}
-
id: 181037936
{'hecke_orbit_code': 418834765379054660, 'n': 95, 'trace_an': 0}
-
id: 181037937
{'hecke_orbit_code': 418834765379054660, 'n': 96, 'trace_an': 0}
-
id: 181037938
{'hecke_orbit_code': 418834765379054660, 'n': 97, 'trace_an': -13}
-
id: 181037939
{'hecke_orbit_code': 418834765379054660, 'n': 98, 'trace_an': 0}
-
id: 181037940
{'hecke_orbit_code': 418834765379054660, 'n': 99, 'trace_an': 0}
-
id: 181037941
{'hecke_orbit_code': 418834765379054660, 'n': 100, 'trace_an': 0}