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mf_newforms • Show schema
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{'Nk2': 113568, 'analytic_conductor': 226.71126141881928, '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': [28392, 1, [21295, 14197, 18929, 12169, 28225], [16, 16, 16, 16, 16]], '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': 16, 'hecke_orbit_code': 67553994444140264, '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': '28392.2.a.p', 'level': 28392, '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^{3}+2q^{5}-q^{7}+q^{9}+4q^{11}-2q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/28392/p'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '28392.2.a', 'trace_display': [0, -1, 2, -1], 'traces': [1, 0, -1, 0, 2, 0, -1, 0, 1, 0, 4, 0, 0, 0, -2, 0, -6, 0, -4, 0, 1, 0, 0, 0, -1, 0, -1, 0, 6, 0, 0, 0, -4, 0, -2, 0, -6, 0, 0, 0, 6, 0, 4, 0, 2, 0, 0, 0, 1, 0, 6, 0, -2, 0, 8, 0, 4, 0, -4, 0, -2, 0, -1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 6, 0, 1, 0, -4, 0, 8, 0, 1, 0, -12, 0, -12, 0, -6, 0, -10, 0, 0, 0, 0, 0, -8, 0, 14, 0, 4, 0], 'weight': 2, 'weight_parity': 1}
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label 28392.2.a.p does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [25, 33, 31, 27, 31, 27, 25, 33, 28, 30, 29, 30, 29, 30, 28, 30], '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': [319, 335, 333, 326, 326, 329, 339, 318, 343, 316, 321, 331, 328, 328, 322, 333], 'Nk2': 113568, 'analytic_conductor': 226.71126141881928, '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': [28392, 1, [21295, 14197, 18929, 12169, 28225], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5713, 'dim': 466, 'eis_dim': 223, 'eis_new_dim': 0, 'hecke_orbit_code': 33582824, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 15, 15], 'label': '28392.2.a', 'level': 28392, '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': 5936, 'mf_new_dim': 466, 'num_forms': 96, 'plus_dim': 222, 'prim_orbit_index': 1, 'relative_dim': 466, 'sturm_bound': 11648, 'trace_display': [0, 0, -4, 0], 'traces': [466, 0, 0, 0, -4, 0, 0, 0, 466, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -2, 0, 8, 0, 462, 0, 0, 0, 4, 0, 16, 0, 0, 0, 0, 0, -12, 0, 0, 0, -4, 0, -8, 0, -4, 0, -32, 0, 466, 0, -8, 0, -12, 0, -32, 0, -8, 0, -32, 0, -4, 0, 0, 0, 0, 0, -16, 0, 0, 0, 8, 0, -20, 0, 0, 0, 0, 0, -16, 0, 466, 0, 16, 0, -8, 0, -16, 0, -36, 0, 0, 0, 0, 0, -48, 0, -36, 0, 0, 0, -52, 0, 32, 0, 4, 0, -80, 0, -28, 0, 0, 0, -52, 0, -32, 0, 0, 0, -8, 0, 434, 0, 32, 0, -24, 0, -16, 0, -32, 0, 16, 0, 16, 0, 0, 0, -4, 0, 48, 0, 0, 0, 0, 0, -72, 0, 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-176, 0, 0, 0, -16, 0, 410, 0, -80, 0, 896, 0, -96, 0, -48, 0, -128, 0, -24, 0, 0, 0, 60, 0, -96, 0, -28, 0, -96, 0, 8, 0, 0, 0, -208, 0, -64, 0, 0, 0, -32, 0, 364, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 28392.2.a.p does not appear in mf_twists_nf
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hecke_orbit_code 67553994444140264 does not appear in mf_hecke_charpolys
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label 28392.2.a.p does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 151974242
{'hecke_orbit_code': 67553994444140264, 'n': 1, 'trace_an': 1}
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id: 151974243
{'hecke_orbit_code': 67553994444140264, 'n': 2, 'trace_an': 0}
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id: 151974244
{'hecke_orbit_code': 67553994444140264, 'n': 3, 'trace_an': -1}
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id: 151974245
{'hecke_orbit_code': 67553994444140264, 'n': 4, 'trace_an': 0}
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id: 151974246
{'hecke_orbit_code': 67553994444140264, 'n': 5, 'trace_an': 2}
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id: 151974247
{'hecke_orbit_code': 67553994444140264, 'n': 6, 'trace_an': 0}
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id: 151974248
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id: 151974249
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id: 151974250
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id: 151974251
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id: 151974252
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id: 151974253
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id: 151974254
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id: 151974255
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id: 151974256
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id: 151974257
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id: 151974258
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id: 151974259
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-
id: 151974260
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id: 151974261
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id: 151974262
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id: 151974263
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-
id: 151974264
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-
id: 151974265
{'hecke_orbit_code': 67553994444140264, 'n': 24, 'trace_an': 0}
-
id: 151974266
{'hecke_orbit_code': 67553994444140264, 'n': 25, 'trace_an': -1}
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id: 151974267
{'hecke_orbit_code': 67553994444140264, 'n': 26, 'trace_an': 0}
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id: 151974268
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id: 151974269
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id: 151974270
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id: 151974271
{'hecke_orbit_code': 67553994444140264, 'n': 30, 'trace_an': 0}
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id: 151974272
{'hecke_orbit_code': 67553994444140264, 'n': 31, 'trace_an': 0}
-
id: 151974273
{'hecke_orbit_code': 67553994444140264, 'n': 32, 'trace_an': 0}
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id: 151974274
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id: 151974275
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-
id: 151974276
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id: 151974277
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-
id: 151974278
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-
id: 151974279
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-
id: 151974280
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-
id: 151974281
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-
id: 151974282
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-
id: 151974283
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id: 151974284
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-
id: 151974285
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-
id: 151974286
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id: 151974287
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id: 151974288
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id: 151974289
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id: 151974290
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id: 151974291
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id: 151974292
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id: 151974293
{'hecke_orbit_code': 67553994444140264, 'n': 52, 'trace_an': 0}
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id: 151974294
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id: 151974295
{'hecke_orbit_code': 67553994444140264, 'n': 54, 'trace_an': 0}
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id: 151974296
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id: 151974297
{'hecke_orbit_code': 67553994444140264, 'n': 56, 'trace_an': 0}
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id: 151974298
{'hecke_orbit_code': 67553994444140264, 'n': 57, 'trace_an': 4}
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id: 151974299
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id: 151974300
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id: 151974301
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id: 151974302
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id: 151974303
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id: 151974304
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id: 151974305
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id: 151974306
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id: 151974307
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id: 151974308
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-
id: 151974309
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id: 151974310
{'hecke_orbit_code': 67553994444140264, 'n': 69, 'trace_an': 0}
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id: 151974311
{'hecke_orbit_code': 67553994444140264, 'n': 70, 'trace_an': 0}
-
id: 151974312
{'hecke_orbit_code': 67553994444140264, 'n': 71, 'trace_an': 0}
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id: 151974313
{'hecke_orbit_code': 67553994444140264, 'n': 72, 'trace_an': 0}
-
id: 151974314
{'hecke_orbit_code': 67553994444140264, 'n': 73, 'trace_an': 6}
-
id: 151974315
{'hecke_orbit_code': 67553994444140264, 'n': 74, 'trace_an': 0}
-
id: 151974316
{'hecke_orbit_code': 67553994444140264, 'n': 75, 'trace_an': 1}
-
id: 151974317
{'hecke_orbit_code': 67553994444140264, 'n': 76, 'trace_an': 0}
-
id: 151974318
{'hecke_orbit_code': 67553994444140264, 'n': 77, 'trace_an': -4}
-
id: 151974319
{'hecke_orbit_code': 67553994444140264, 'n': 78, 'trace_an': 0}
-
id: 151974320
{'hecke_orbit_code': 67553994444140264, 'n': 79, 'trace_an': 8}
-
id: 151974321
{'hecke_orbit_code': 67553994444140264, 'n': 80, 'trace_an': 0}
-
id: 151974322
{'hecke_orbit_code': 67553994444140264, 'n': 81, 'trace_an': 1}
-
id: 151974323
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-
id: 151974324
{'hecke_orbit_code': 67553994444140264, 'n': 83, 'trace_an': -12}
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id: 151974325
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id: 151974326
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id: 151974327
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id: 151974328
{'hecke_orbit_code': 67553994444140264, 'n': 87, 'trace_an': -6}
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id: 151974329
{'hecke_orbit_code': 67553994444140264, 'n': 88, 'trace_an': 0}
-
id: 151974330
{'hecke_orbit_code': 67553994444140264, 'n': 89, 'trace_an': -10}
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id: 151974331
{'hecke_orbit_code': 67553994444140264, 'n': 90, 'trace_an': 0}
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id: 151974332
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-
id: 151974333
{'hecke_orbit_code': 67553994444140264, 'n': 92, 'trace_an': 0}
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id: 151974334
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id: 151974335
{'hecke_orbit_code': 67553994444140264, 'n': 94, 'trace_an': 0}
-
id: 151974336
{'hecke_orbit_code': 67553994444140264, 'n': 95, 'trace_an': -8}
-
id: 151974337
{'hecke_orbit_code': 67553994444140264, 'n': 96, 'trace_an': 0}
-
id: 151974338
{'hecke_orbit_code': 67553994444140264, 'n': 97, 'trace_an': 14}
-
id: 151974339
{'hecke_orbit_code': 67553994444140264, 'n': 98, 'trace_an': 0}
-
id: 151974340
{'hecke_orbit_code': 67553994444140264, 'n': 99, 'trace_an': 4}
-
id: 151974341
{'hecke_orbit_code': 67553994444140264, 'n': 100, 'trace_an': 0}