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mf_newforms • Show schema
Hide schema
{'Nk2': 85176, 'analytic_conductor': 170.03344606411446, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [13, 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': [21294, 1, [18929, 12169, 6931], [61, 61, 61]], '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': 61, 'hecke_orbit_code': 270215977675805486, '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': '21294.2.a.ci', 'level': 21294, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+q^{7}+q^{8}+3q^{11}+q^{14}+\\cdots', 'related_objects': ['EllipticCurve/Q/21294/ci'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '21294.2.a', 'trace_display': [1, 0, 0, 1], 'traces': [1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 3, 0, 0, 1, 0, 1, -3, 0, -1, 0, 0, 3, -6, 0, -5, 0, 0, 1, 3, 0, 2, 1, 0, -3, 0, 0, -10, -1, 0, 0, 3, 0, -4, 3, 0, -6, 9, 0, 1, -5, 0, 0, 9, 0, 0, 1, 0, 3, -12, 0, 5, 2, 0, 1, 0, 0, -16, -3, 0, 0, -12, 0, -10, -10, 0, -1, 3, 0, 5, 0, 0, 3, 0, 0, 0, -4, 0, 3, -15, 0, 0, -6, 0, 9, 0, 0, -4, 1, 0, -5], 'weight': 2, 'weight_parity': 1}
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label 21294.2.a.ci does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [18, 21, 18, 21, 30, 27, 25, 33, 18, 21, 18, 21, 29, 30, 34, 24], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14], 'ALdims_old': [235, 257, 262, 233, 243, 232, 234, 240, 248, 247, 248, 243, 244, 229, 225, 249], 'Nk2': 85176, 'analytic_conductor': 170.03344606411446, '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': [21294, 1, [18929, 12169, 6931], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4257, 'dim': 388, 'eis_dim': 223, 'eis_new_dim': 0, 'hecke_orbit_code': 33575726, '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, 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, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9], 'label': '21294.2.a', 'level': 21294, '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, 7, 13], 'level_radical': 546, 'mf_dim': 4480, 'mf_new_dim': 388, 'num_forms': 157, 'plus_dim': 183, 'prim_orbit_index': 1, 'relative_dim': 388, 'sturm_bound': 8736, 'trace_display': [2, 0, 6, 0], 'traces': [388, 2, 0, 388, 6, 0, 0, 2, 0, 2, 4, 0, 0, -2, 0, 388, 4, 0, -18, 6, 0, 0, 8, 0, 380, 0, 0, 0, -16, 0, -4, 2, 0, -8, 2, 0, -4, -10, 0, 2, -12, 0, -8, 4, 0, -16, -36, 0, 388, 2, 0, 0, 20, 0, -16, -2, 0, 8, 18, 0, 42, -28, 0, 388, 0, 0, 0, 4, 0, 2, 24, 0, 40, -28, 0, -18, 4, 0, 32, 6, 0, 0, -22, 0, 52, 4, 0, 0, -16, 0, 0, 8, 0, -20, 8, 0, 20, 2, 0, 380, -18, 0, 4, 0, 0, 12, -28, 0, 52, -72, 0, 0, -28, 0, -16, -16, 0, -22, -12, 0, 456, 6, 0, -4, -36, 0, 40, 2, 0, 0, 10, 0, 18, -36, 0, -8, 24, 0, 2, 2, 0, 24, 0, 0, 44, 28, 0, -4, 56, 0, 16, -10, 0, -12, -72, 0, 54, 8, 0, 2, 24, 0, -36, -12, 0, -6, -28, 0, 0, -176, 0, -8, -146, 0, 4, 4, 0, -160, 4, 0, 14, 0, 0, -16, -112, 0, -8, -36, 0, -48, 40, 0, -20, -132, 0, 388, -56, 0, -4, 2, 0, 10, 20, 0, -144, -12, 0, 0, 48, 0, 68, 20, 0, -16, -56, 0, 4, -184, 0, -16, 0, 0, 8, -2, 0, 0, -14, 0, -26, 0, 0, 8, -52, 0, -120, 18, 0, -8, 80, 0, 68, 10, 0, 42, 6, 0, 0, -28, 0, -168, 22, 0, 16, -24, 0, 388, 0, 0, 4, 0, 0, -6, 8, 0, -4, 14, 0, 0, -66, 0, 112, 4, 0, 44, 60, 0, 52, 10, 0, 2, 40, 0, -26, 24, 0, 0, 12, 0, 364, -56, 0, 40, 78, 0, -40, -28, 0, 40, 0, 0, 12, -16, 0, -18, 20, 0, -50, 4, 0, -8, 176, 0, -128, -22, 0, 32, -24, 0, 8, 6, 0, 8, 76, 0, 0, -16, 0, 0, -44, 0, -12, -22, 0, -36, -24, 0, 60, 0, 0, 52, 8, 0, 0, 4, 0, 30, 324, 0, 118, -26, 0, 0, 96, 0, 8, -16, 0, -64, -24, 0, 460, 10, 0, 0, -88, 0, -184, 8, 0, 60, 0, 0, -60, 300, 0, -20, 0, 0, 52, 8, 0, 64, 12, 0, -32, 64, 0, 20, -8, 0, 0, 2, 0, -148, -240, 0, -10, 28, 0, 380, -12, 0, 0, -18, 0, 24, -24, 0, -44, 116, 0, 4, 38, 0, 24, 0, 0, -64, 386, 0, 16, -40, 0, 12, -208, 0, 18, -28, 0, 24, -152, 0, -116, 12, 0, 52, -64, 0, 8, -72, 0, 0, -20, 0, 108, -80, 0, 0, 56, 0, -96, -28, 0, -102, 0, 0, -76, -98, 0, -16, 98, 0, -72, -16, 0, -4, 546, 0, -56, -56, 0, -22, 96, 0, -38, -12, 0, -16, -28, 0, 0, 340, 0, 456, 572, 0, 72, 6, 0, 2, 124, 0, -284, 0, 0, -4, -56, 0, -96, -36, 0, -10, -152, 0, 92, -8, 0, 40, 58, 0, 48, 2, 0, -100, 48, 0, 48, 24, 0, 0, 444, 0, -74, 10, 0, 96, -160, 0, 228, -152, 0, 18, 0, 0, -40, -36, 0, -66, 4, 0, 120, -96, 0, -8, -76, 0, -40, 24, 0, -88, -28, 0, 32, 60, 0, 2, -200, 0, 0, 2, 0, -36, 346, 0, -108, 70, 0, 24, -144, 0, -8, 0, 0, 24, 376, 0, 128, 38, 0, 44, 14, 0, -128, 28, 0, 82, -106, 0, 72, 0, 0, -4, -40, 0, -20, 56, 0, 0, 176, 0, -16, 12, 0, 16, -98, 0, 24, -10, 0, -32, 0, 0, 124, 54, 0, -12, -4, 0, -34, -72, 0, 96, -64, 0, 400, 112, 0, 54, 0, 0, -64, 8, 0, 24, 224, 0, 0, -24, 0, 2, -44, 0, -38, 24, 0, -28, 524, 0, -152, 0, 0, -36, -148, 0, -48, -12, 0, 28, 32, 0, 18, 220, 0, -6, -48, 0, -24, -28, 0, 200, 8, 0, -8, 56, 0, 0, -162, 0, 36, -176, 0, 96, 96, 0, -56, -2, 0, -8, 0, 0, -194, -146, 0, 12, -48, 0, -152, -18, 0, 4, -292, 0, -52, 4, 0, 76, 78, 0, 140, -160, 0, -160, -176, 0, 0, 4, 0, 32, 92, 0, 76, -10, 0, 14, -148, 0, 4, 0, 0, 76, 224, 0, -22, 40, 0, -16, 536, 0, -52, -112, 0, -4, -48, 0, -184, 44, 0, -8, 64, 0, -144, -36, 0, 0, 152, 0, -228, 104, 0, -48, 92, 0, -84, 40, 0, 68, 0, 0, 28, -72, 0, -20, 110, 0, -236, -132, 0, -64, 352, 0, 160, -64, 0, 388, 164, 0, 102, -56, 0, -56, -12, 0, 0, -234, 0, -4, -10, 0, -240, 2, 0, 80, 24, 0, 40, 0, 0, 10, 68, 0, 54, 20, 0, 80, -64, 0, -96, -24, 0, -144, 208, 0, 72, -12, 0, -38, -80, 0, -54, 16, 0, 0, 4, 0, -136, 48, 0, -90, 236, 0, 544, 56, 0, 68, 0, 0, -16, 20, 0, 112, -72, 0, 38, -38, 0, -16, 308, 0, -198, -56, 0, 136, -48, 0, -124, 80, 0, 4, 112, 0, 0, -184, 0, -104, -60, 0, 44, 32, 0, -16, -40, 0, -52, 0, 0, -32, -116, 0, 0, 12, 0, 8, -24, 0, -264, -2, 0, -152, 344, 0, -140, -8, 0, 0, 68, 0, -164, -14, 0, 0, 168, 0, -72, 364, 0, -26, -46, 0, -16, 0, 0, -82, 0, 0, -20, -136, 0, 8, 44, 0, -18, -52, 0, -94, -304, 0, -88, -32, 0, -120, -218, 0, -64, 18, 0, -64, -4, 0, 0, -94, 0, -8, -260, 0, 80, 80, 0, -116, 72, 0, 156, 0, 0, 68, -200, 0, -280, 10, 0, -36, 626, 0, -62, -72, 0, 42, -160, 0, -248, 6, 0, -40, -132, 0, -4, -56, 0, 0, -200, 0, -120, -28, 0, 24, 64, 0, 50, 4, 0, -168], 'weight': 2, 'weight_parity': 1}
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source_label 21294.2.a.ci does not appear in mf_twists_nf
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hecke_orbit_code 270215977675805486 does not appear in mf_hecke_charpolys
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label 21294.2.a.ci does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 175923242
{'hecke_orbit_code': 270215977675805486, 'n': 1, 'trace_an': 1}
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id: 175923243
{'hecke_orbit_code': 270215977675805486, 'n': 2, 'trace_an': 1}
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id: 175923244
{'hecke_orbit_code': 270215977675805486, 'n': 3, 'trace_an': 0}
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id: 175923245
{'hecke_orbit_code': 270215977675805486, 'n': 4, 'trace_an': 1}
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id: 175923246
{'hecke_orbit_code': 270215977675805486, 'n': 5, 'trace_an': 0}
-
id: 175923247
{'hecke_orbit_code': 270215977675805486, 'n': 6, 'trace_an': 0}
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id: 175923248
{'hecke_orbit_code': 270215977675805486, 'n': 7, 'trace_an': 1}
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id: 175923249
{'hecke_orbit_code': 270215977675805486, 'n': 8, 'trace_an': 1}
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id: 175923250
{'hecke_orbit_code': 270215977675805486, 'n': 9, 'trace_an': 0}
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id: 175923251
{'hecke_orbit_code': 270215977675805486, 'n': 10, 'trace_an': 0}
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id: 175923252
{'hecke_orbit_code': 270215977675805486, 'n': 11, 'trace_an': 3}
-
id: 175923253
{'hecke_orbit_code': 270215977675805486, 'n': 12, 'trace_an': 0}
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id: 175923254
{'hecke_orbit_code': 270215977675805486, 'n': 13, 'trace_an': 0}
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id: 175923255
{'hecke_orbit_code': 270215977675805486, 'n': 14, 'trace_an': 1}
-
id: 175923256
{'hecke_orbit_code': 270215977675805486, 'n': 15, 'trace_an': 0}
-
id: 175923257
{'hecke_orbit_code': 270215977675805486, 'n': 16, 'trace_an': 1}
-
id: 175923258
{'hecke_orbit_code': 270215977675805486, 'n': 17, 'trace_an': -3}
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id: 175923259
{'hecke_orbit_code': 270215977675805486, 'n': 18, 'trace_an': 0}
-
id: 175923260
{'hecke_orbit_code': 270215977675805486, 'n': 19, 'trace_an': -1}
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id: 175923261
{'hecke_orbit_code': 270215977675805486, 'n': 20, 'trace_an': 0}
-
id: 175923262
{'hecke_orbit_code': 270215977675805486, 'n': 21, 'trace_an': 0}
-
id: 175923263
{'hecke_orbit_code': 270215977675805486, 'n': 22, 'trace_an': 3}
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id: 175923264
{'hecke_orbit_code': 270215977675805486, 'n': 23, 'trace_an': -6}
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id: 175923265
{'hecke_orbit_code': 270215977675805486, 'n': 24, 'trace_an': 0}
-
id: 175923266
{'hecke_orbit_code': 270215977675805486, 'n': 25, 'trace_an': -5}
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id: 175923267
{'hecke_orbit_code': 270215977675805486, 'n': 26, 'trace_an': 0}
-
id: 175923268
{'hecke_orbit_code': 270215977675805486, 'n': 27, 'trace_an': 0}
-
id: 175923269
{'hecke_orbit_code': 270215977675805486, 'n': 28, 'trace_an': 1}
-
id: 175923270
{'hecke_orbit_code': 270215977675805486, 'n': 29, 'trace_an': 3}
-
id: 175923271
{'hecke_orbit_code': 270215977675805486, 'n': 30, 'trace_an': 0}
-
id: 175923272
{'hecke_orbit_code': 270215977675805486, 'n': 31, 'trace_an': 2}
-
id: 175923273
{'hecke_orbit_code': 270215977675805486, 'n': 32, 'trace_an': 1}
-
id: 175923274
{'hecke_orbit_code': 270215977675805486, 'n': 33, 'trace_an': 0}
-
id: 175923275
{'hecke_orbit_code': 270215977675805486, 'n': 34, 'trace_an': -3}
-
id: 175923276
{'hecke_orbit_code': 270215977675805486, 'n': 35, 'trace_an': 0}
-
id: 175923277
{'hecke_orbit_code': 270215977675805486, 'n': 36, 'trace_an': 0}
-
id: 175923278
{'hecke_orbit_code': 270215977675805486, 'n': 37, 'trace_an': -10}
-
id: 175923279
{'hecke_orbit_code': 270215977675805486, 'n': 38, 'trace_an': -1}
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id: 175923280
{'hecke_orbit_code': 270215977675805486, 'n': 39, 'trace_an': 0}
-
id: 175923281
{'hecke_orbit_code': 270215977675805486, 'n': 40, 'trace_an': 0}
-
id: 175923282
{'hecke_orbit_code': 270215977675805486, 'n': 41, 'trace_an': 3}
-
id: 175923283
{'hecke_orbit_code': 270215977675805486, 'n': 42, 'trace_an': 0}
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id: 175923284
{'hecke_orbit_code': 270215977675805486, 'n': 43, 'trace_an': -4}
-
id: 175923285
{'hecke_orbit_code': 270215977675805486, 'n': 44, 'trace_an': 3}
-
id: 175923286
{'hecke_orbit_code': 270215977675805486, 'n': 45, 'trace_an': 0}
-
id: 175923287
{'hecke_orbit_code': 270215977675805486, 'n': 46, 'trace_an': -6}
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id: 175923288
{'hecke_orbit_code': 270215977675805486, 'n': 47, 'trace_an': 9}
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id: 175923289
{'hecke_orbit_code': 270215977675805486, 'n': 48, 'trace_an': 0}
-
id: 175923290
{'hecke_orbit_code': 270215977675805486, 'n': 49, 'trace_an': 1}
-
id: 175923291
{'hecke_orbit_code': 270215977675805486, 'n': 50, 'trace_an': -5}
-
id: 175923292
{'hecke_orbit_code': 270215977675805486, 'n': 51, 'trace_an': 0}
-
id: 175923293
{'hecke_orbit_code': 270215977675805486, 'n': 52, 'trace_an': 0}
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id: 175923294
{'hecke_orbit_code': 270215977675805486, 'n': 53, 'trace_an': 9}
-
id: 175923295
{'hecke_orbit_code': 270215977675805486, 'n': 54, 'trace_an': 0}
-
id: 175923296
{'hecke_orbit_code': 270215977675805486, 'n': 55, 'trace_an': 0}
-
id: 175923297
{'hecke_orbit_code': 270215977675805486, 'n': 56, 'trace_an': 1}
-
id: 175923298
{'hecke_orbit_code': 270215977675805486, 'n': 57, 'trace_an': 0}
-
id: 175923299
{'hecke_orbit_code': 270215977675805486, 'n': 58, 'trace_an': 3}
-
id: 175923300
{'hecke_orbit_code': 270215977675805486, 'n': 59, 'trace_an': -12}
-
id: 175923301
{'hecke_orbit_code': 270215977675805486, 'n': 60, 'trace_an': 0}
-
id: 175923302
{'hecke_orbit_code': 270215977675805486, 'n': 61, 'trace_an': 5}
-
id: 175923303
{'hecke_orbit_code': 270215977675805486, 'n': 62, 'trace_an': 2}
-
id: 175923304
{'hecke_orbit_code': 270215977675805486, 'n': 63, 'trace_an': 0}
-
id: 175923305
{'hecke_orbit_code': 270215977675805486, 'n': 64, 'trace_an': 1}
-
id: 175923306
{'hecke_orbit_code': 270215977675805486, 'n': 65, 'trace_an': 0}
-
id: 175923307
{'hecke_orbit_code': 270215977675805486, 'n': 66, 'trace_an': 0}
-
id: 175923308
{'hecke_orbit_code': 270215977675805486, 'n': 67, 'trace_an': -16}
-
id: 175923309
{'hecke_orbit_code': 270215977675805486, 'n': 68, 'trace_an': -3}
-
id: 175923310
{'hecke_orbit_code': 270215977675805486, 'n': 69, 'trace_an': 0}
-
id: 175923311
{'hecke_orbit_code': 270215977675805486, 'n': 70, 'trace_an': 0}
-
id: 175923312
{'hecke_orbit_code': 270215977675805486, 'n': 71, 'trace_an': -12}
-
id: 175923313
{'hecke_orbit_code': 270215977675805486, 'n': 72, 'trace_an': 0}
-
id: 175923314
{'hecke_orbit_code': 270215977675805486, 'n': 73, 'trace_an': -10}
-
id: 175923315
{'hecke_orbit_code': 270215977675805486, 'n': 74, 'trace_an': -10}
-
id: 175923316
{'hecke_orbit_code': 270215977675805486, 'n': 75, 'trace_an': 0}
-
id: 175923317
{'hecke_orbit_code': 270215977675805486, 'n': 76, 'trace_an': -1}
-
id: 175923318
{'hecke_orbit_code': 270215977675805486, 'n': 77, 'trace_an': 3}
-
id: 175923319
{'hecke_orbit_code': 270215977675805486, 'n': 78, 'trace_an': 0}
-
id: 175923320
{'hecke_orbit_code': 270215977675805486, 'n': 79, 'trace_an': 5}
-
id: 175923321
{'hecke_orbit_code': 270215977675805486, 'n': 80, 'trace_an': 0}
-
id: 175923322
{'hecke_orbit_code': 270215977675805486, 'n': 81, 'trace_an': 0}
-
id: 175923323
{'hecke_orbit_code': 270215977675805486, 'n': 82, 'trace_an': 3}
-
id: 175923324
{'hecke_orbit_code': 270215977675805486, 'n': 83, 'trace_an': 0}
-
id: 175923325
{'hecke_orbit_code': 270215977675805486, 'n': 84, 'trace_an': 0}
-
id: 175923326
{'hecke_orbit_code': 270215977675805486, 'n': 85, 'trace_an': 0}
-
id: 175923327
{'hecke_orbit_code': 270215977675805486, 'n': 86, 'trace_an': -4}
-
id: 175923328
{'hecke_orbit_code': 270215977675805486, 'n': 87, 'trace_an': 0}
-
id: 175923329
{'hecke_orbit_code': 270215977675805486, 'n': 88, 'trace_an': 3}
-
id: 175923330
{'hecke_orbit_code': 270215977675805486, 'n': 89, 'trace_an': -15}
-
id: 175923331
{'hecke_orbit_code': 270215977675805486, 'n': 90, 'trace_an': 0}
-
id: 175923332
{'hecke_orbit_code': 270215977675805486, 'n': 91, 'trace_an': 0}
-
id: 175923333
{'hecke_orbit_code': 270215977675805486, 'n': 92, 'trace_an': -6}
-
id: 175923334
{'hecke_orbit_code': 270215977675805486, 'n': 93, 'trace_an': 0}
-
id: 175923335
{'hecke_orbit_code': 270215977675805486, 'n': 94, 'trace_an': 9}
-
id: 175923336
{'hecke_orbit_code': 270215977675805486, 'n': 95, 'trace_an': 0}
-
id: 175923337
{'hecke_orbit_code': 270215977675805486, 'n': 96, 'trace_an': 0}
-
id: 175923338
{'hecke_orbit_code': 270215977675805486, 'n': 97, 'trace_an': -4}
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id: 175923339
{'hecke_orbit_code': 270215977675805486, 'n': 98, 'trace_an': 1}
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id: 175923340
{'hecke_orbit_code': 270215977675805486, 'n': 99, 'trace_an': 0}
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id: 175923341
{'hecke_orbit_code': 270215977675805486, 'n': 100, 'trace_an': -5}