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mf_newforms • Show schema
Hide schema
{'Nk2': 41216, 'analytic_conductor': 82.2778542427273, 'atkin_lehner_eigenvals': [[2, 1], [7, -1], [23, 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': [10304, 1, [9983, 645, 1473, 6721], [9, 9, 9, 9]], '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': 9, 'hecke_orbit_code': 36028797052528704, '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': '10304.2.a.i', 'level': 10304, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 23], 'level_radical': 322, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{3}+q^{7}+q^{9}-4q^{11}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/10304/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '10304.2.a', 'trace_display': [0, -2, 0, 1], 'traces': [1, 0, -2, 0, 0, 0, 1, 0, 1, 0, -4, 0, 0, 0, 0, 0, 6, 0, 6, 0, -2, 0, -1, 0, -5, 0, 4, 0, -10, 0, 4, 0, 8, 0, 0, 0, 2, 0, 0, 0, -10, 0, 4, 0, 0, 0, 12, 0, 1, 0, -12, 0, 6, 0, 0, 0, -12, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, -8, 0, -6, 0, 10, 0, -4, 0, -8, 0, -11, 0, 14, 0, 0, 0, 20, 0, -14, 0, 0, 0, -8, 0, 0, 0, -2, 0, -4, 0], 'weight': 2, 'weight_parity': 1}
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label 10304.2.a.i does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [30, 35, 38, 27, 36, 31, 28, 39], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [150, 160, 161, 156, 161, 150, 153, 158], 'Nk2': 41216, 'analytic_conductor': 82.2778542427273, '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': [10304, 1, [9983, 645, 1473, 6721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 264, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_orbit_code': 33564736, '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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 9, 9, 11, 11, 12, 12], 'label': '10304.2.a', 'level': 10304, '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, 7, 23], 'level_radical': 322, 'mf_dim': 1560, 'mf_new_dim': 264, 'num_forms': 90, 'plus_dim': 116, 'prim_orbit_index': 1, 'relative_dim': 264, 'sturm_bound': 3072, 'trace_display': [0, 0, 0, 0], 'traces': [264, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 344, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -80, 0, 0, 0, 224, 0, 0, 0, 344, 0, 0, 0, 224, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, 176, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 128, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 480, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 160, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 128, 0, 0, 0, -16, 0, 0, 0, 272, 0, 0, 0, 112, 0, 0, 0, 256, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, 384, 0, 0, 0, 128, 0, 0, 0, 96, 0, 0, 0, -80, 0, 0, 0, 160, 0, 0, 0, 264, 0, 0, 0, 208, 0, 0, 0, -256, 0, 0, 0, -192, 0, 0, 0, 128, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, -272, 0, 0, 0, 288, 0, 0, 0, -80, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, 8, 0, 0, 0, 384, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 384, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, -176, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -176, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 352, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 264, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -416, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, -320, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 224, 0, 0, 0, 160, 0, 0, 0, 208, 0, 0, 0, 416, 0, 0, 0, 368, 0, 0, 0, 16, 0, 0, 0, -176, 0, 0, 0, 344, 0, 0, 0, -288, 0, 0, 0, -32, 0, 0, 0, -336, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, -48, 0, 0, 0, -336, 0, 0, 0, 144, 0, 0, 0, -736, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -384, 0, 0, 0, 256, 0, 0, 0, 624, 0, 0, 0, -160, 0, 0, 0, 160, 0, 0, 0, 224, 0, 0, 0, -480, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0, 496, 0, 0, 0, -80, 0, 0, 0, 96, 0, 0, 0, 328, 0, 0, 0, 416, 0, 0, 0, 192, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, 384, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 10304.2.a.i does not appear in mf_twists_nf
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hecke_orbit_code 36028797052528704 does not appear in mf_hecke_charpolys
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label 10304.2.a.i does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 140066042
{'hecke_orbit_code': 36028797052528704, 'n': 1, 'trace_an': 1}
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id: 140066043
{'hecke_orbit_code': 36028797052528704, 'n': 2, 'trace_an': 0}
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id: 140066044
{'hecke_orbit_code': 36028797052528704, 'n': 3, 'trace_an': -2}
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id: 140066045
{'hecke_orbit_code': 36028797052528704, 'n': 4, 'trace_an': 0}
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id: 140066046
{'hecke_orbit_code': 36028797052528704, 'n': 5, 'trace_an': 0}
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id: 140066047
{'hecke_orbit_code': 36028797052528704, 'n': 6, 'trace_an': 0}
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id: 140066048
{'hecke_orbit_code': 36028797052528704, 'n': 7, 'trace_an': 1}
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id: 140066049
{'hecke_orbit_code': 36028797052528704, 'n': 8, 'trace_an': 0}
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id: 140066050
{'hecke_orbit_code': 36028797052528704, 'n': 9, 'trace_an': 1}
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id: 140066051
{'hecke_orbit_code': 36028797052528704, 'n': 10, 'trace_an': 0}
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id: 140066052
{'hecke_orbit_code': 36028797052528704, 'n': 11, 'trace_an': -4}
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id: 140066053
{'hecke_orbit_code': 36028797052528704, 'n': 12, 'trace_an': 0}
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id: 140066054
{'hecke_orbit_code': 36028797052528704, 'n': 13, 'trace_an': 0}
-
id: 140066055
{'hecke_orbit_code': 36028797052528704, 'n': 14, 'trace_an': 0}
-
id: 140066056
{'hecke_orbit_code': 36028797052528704, 'n': 15, 'trace_an': 0}
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id: 140066057
{'hecke_orbit_code': 36028797052528704, 'n': 16, 'trace_an': 0}
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id: 140066058
{'hecke_orbit_code': 36028797052528704, 'n': 17, 'trace_an': 6}
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id: 140066059
{'hecke_orbit_code': 36028797052528704, 'n': 18, 'trace_an': 0}
-
id: 140066060
{'hecke_orbit_code': 36028797052528704, 'n': 19, 'trace_an': 6}
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id: 140066061
{'hecke_orbit_code': 36028797052528704, 'n': 20, 'trace_an': 0}
-
id: 140066062
{'hecke_orbit_code': 36028797052528704, 'n': 21, 'trace_an': -2}
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id: 140066063
{'hecke_orbit_code': 36028797052528704, 'n': 22, 'trace_an': 0}
-
id: 140066064
{'hecke_orbit_code': 36028797052528704, 'n': 23, 'trace_an': -1}
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id: 140066065
{'hecke_orbit_code': 36028797052528704, 'n': 24, 'trace_an': 0}
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id: 140066066
{'hecke_orbit_code': 36028797052528704, 'n': 25, 'trace_an': -5}
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id: 140066067
{'hecke_orbit_code': 36028797052528704, 'n': 26, 'trace_an': 0}
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id: 140066068
{'hecke_orbit_code': 36028797052528704, 'n': 27, 'trace_an': 4}
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id: 140066069
{'hecke_orbit_code': 36028797052528704, 'n': 28, 'trace_an': 0}
-
id: 140066070
{'hecke_orbit_code': 36028797052528704, 'n': 29, 'trace_an': -10}
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id: 140066071
{'hecke_orbit_code': 36028797052528704, 'n': 30, 'trace_an': 0}
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id: 140066072
{'hecke_orbit_code': 36028797052528704, 'n': 31, 'trace_an': 4}
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id: 140066073
{'hecke_orbit_code': 36028797052528704, 'n': 32, 'trace_an': 0}
-
id: 140066074
{'hecke_orbit_code': 36028797052528704, 'n': 33, 'trace_an': 8}
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id: 140066075
{'hecke_orbit_code': 36028797052528704, 'n': 34, 'trace_an': 0}
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id: 140066076
{'hecke_orbit_code': 36028797052528704, 'n': 35, 'trace_an': 0}
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id: 140066077
{'hecke_orbit_code': 36028797052528704, 'n': 36, 'trace_an': 0}
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id: 140066078
{'hecke_orbit_code': 36028797052528704, 'n': 37, 'trace_an': 2}
-
id: 140066079
{'hecke_orbit_code': 36028797052528704, 'n': 38, 'trace_an': 0}
-
id: 140066080
{'hecke_orbit_code': 36028797052528704, 'n': 39, 'trace_an': 0}
-
id: 140066081
{'hecke_orbit_code': 36028797052528704, 'n': 40, 'trace_an': 0}
-
id: 140066082
{'hecke_orbit_code': 36028797052528704, 'n': 41, 'trace_an': -10}
-
id: 140066083
{'hecke_orbit_code': 36028797052528704, 'n': 42, 'trace_an': 0}
-
id: 140066084
{'hecke_orbit_code': 36028797052528704, 'n': 43, 'trace_an': 4}
-
id: 140066085
{'hecke_orbit_code': 36028797052528704, 'n': 44, 'trace_an': 0}
-
id: 140066086
{'hecke_orbit_code': 36028797052528704, 'n': 45, 'trace_an': 0}
-
id: 140066087
{'hecke_orbit_code': 36028797052528704, 'n': 46, 'trace_an': 0}
-
id: 140066088
{'hecke_orbit_code': 36028797052528704, 'n': 47, 'trace_an': 12}
-
id: 140066089
{'hecke_orbit_code': 36028797052528704, 'n': 48, 'trace_an': 0}
-
id: 140066090
{'hecke_orbit_code': 36028797052528704, 'n': 49, 'trace_an': 1}
-
id: 140066091
{'hecke_orbit_code': 36028797052528704, 'n': 50, 'trace_an': 0}
-
id: 140066092
{'hecke_orbit_code': 36028797052528704, 'n': 51, 'trace_an': -12}
-
id: 140066093
{'hecke_orbit_code': 36028797052528704, 'n': 52, 'trace_an': 0}
-
id: 140066094
{'hecke_orbit_code': 36028797052528704, 'n': 53, 'trace_an': 6}
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id: 140066095
{'hecke_orbit_code': 36028797052528704, 'n': 54, 'trace_an': 0}
-
id: 140066096
{'hecke_orbit_code': 36028797052528704, 'n': 55, 'trace_an': 0}
-
id: 140066097
{'hecke_orbit_code': 36028797052528704, 'n': 56, 'trace_an': 0}
-
id: 140066098
{'hecke_orbit_code': 36028797052528704, 'n': 57, 'trace_an': -12}
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id: 140066099
{'hecke_orbit_code': 36028797052528704, 'n': 58, 'trace_an': 0}
-
id: 140066100
{'hecke_orbit_code': 36028797052528704, 'n': 59, 'trace_an': 2}
-
id: 140066101
{'hecke_orbit_code': 36028797052528704, 'n': 60, 'trace_an': 0}
-
id: 140066102
{'hecke_orbit_code': 36028797052528704, 'n': 61, 'trace_an': 0}
-
id: 140066103
{'hecke_orbit_code': 36028797052528704, 'n': 62, 'trace_an': 0}
-
id: 140066104
{'hecke_orbit_code': 36028797052528704, 'n': 63, 'trace_an': 1}
-
id: 140066105
{'hecke_orbit_code': 36028797052528704, 'n': 64, 'trace_an': 0}
-
id: 140066106
{'hecke_orbit_code': 36028797052528704, 'n': 65, 'trace_an': 0}
-
id: 140066107
{'hecke_orbit_code': 36028797052528704, 'n': 66, 'trace_an': 0}
-
id: 140066108
{'hecke_orbit_code': 36028797052528704, 'n': 67, 'trace_an': 0}
-
id: 140066109
{'hecke_orbit_code': 36028797052528704, 'n': 68, 'trace_an': 0}
-
id: 140066110
{'hecke_orbit_code': 36028797052528704, 'n': 69, 'trace_an': 2}
-
id: 140066111
{'hecke_orbit_code': 36028797052528704, 'n': 70, 'trace_an': 0}
-
id: 140066112
{'hecke_orbit_code': 36028797052528704, 'n': 71, 'trace_an': -8}
-
id: 140066113
{'hecke_orbit_code': 36028797052528704, 'n': 72, 'trace_an': 0}
-
id: 140066114
{'hecke_orbit_code': 36028797052528704, 'n': 73, 'trace_an': -6}
-
id: 140066115
{'hecke_orbit_code': 36028797052528704, 'n': 74, 'trace_an': 0}
-
id: 140066116
{'hecke_orbit_code': 36028797052528704, 'n': 75, 'trace_an': 10}
-
id: 140066117
{'hecke_orbit_code': 36028797052528704, 'n': 76, 'trace_an': 0}
-
id: 140066118
{'hecke_orbit_code': 36028797052528704, 'n': 77, 'trace_an': -4}
-
id: 140066119
{'hecke_orbit_code': 36028797052528704, 'n': 78, 'trace_an': 0}
-
id: 140066120
{'hecke_orbit_code': 36028797052528704, 'n': 79, 'trace_an': -8}
-
id: 140066121
{'hecke_orbit_code': 36028797052528704, 'n': 80, 'trace_an': 0}
-
id: 140066122
{'hecke_orbit_code': 36028797052528704, 'n': 81, 'trace_an': -11}
-
id: 140066123
{'hecke_orbit_code': 36028797052528704, 'n': 82, 'trace_an': 0}
-
id: 140066124
{'hecke_orbit_code': 36028797052528704, 'n': 83, 'trace_an': 14}
-
id: 140066125
{'hecke_orbit_code': 36028797052528704, 'n': 84, 'trace_an': 0}
-
id: 140066126
{'hecke_orbit_code': 36028797052528704, 'n': 85, 'trace_an': 0}
-
id: 140066127
{'hecke_orbit_code': 36028797052528704, 'n': 86, 'trace_an': 0}
-
id: 140066128
{'hecke_orbit_code': 36028797052528704, 'n': 87, 'trace_an': 20}
-
id: 140066129
{'hecke_orbit_code': 36028797052528704, 'n': 88, 'trace_an': 0}
-
id: 140066130
{'hecke_orbit_code': 36028797052528704, 'n': 89, 'trace_an': -14}
-
id: 140066131
{'hecke_orbit_code': 36028797052528704, 'n': 90, 'trace_an': 0}
-
id: 140066132
{'hecke_orbit_code': 36028797052528704, 'n': 91, 'trace_an': 0}
-
id: 140066133
{'hecke_orbit_code': 36028797052528704, 'n': 92, 'trace_an': 0}
-
id: 140066134
{'hecke_orbit_code': 36028797052528704, 'n': 93, 'trace_an': -8}
-
id: 140066135
{'hecke_orbit_code': 36028797052528704, 'n': 94, 'trace_an': 0}
-
id: 140066136
{'hecke_orbit_code': 36028797052528704, 'n': 95, 'trace_an': 0}
-
id: 140066137
{'hecke_orbit_code': 36028797052528704, 'n': 96, 'trace_an': 0}
-
id: 140066138
{'hecke_orbit_code': 36028797052528704, 'n': 97, 'trace_an': -2}
-
id: 140066139
{'hecke_orbit_code': 36028797052528704, 'n': 98, 'trace_an': 0}
-
id: 140066140
{'hecke_orbit_code': 36028797052528704, 'n': 99, 'trace_an': -4}
-
id: 140066141
{'hecke_orbit_code': 36028797052528704, 'n': 100, 'trace_an': 0}