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mf_newforms • Show schema
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{'Nk2': 49928, 'analytic_conductor': 99.66927180296217, 'atkin_lehner_eigenvals': [[2, -1], [79, -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': [12482, 1, [3], [7]], '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': 7, 'hecke_orbit_code': 27021597797789890, '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': '12482.2.a.g', 'level': 12482, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 79], 'level_radical': 158, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+3q^{7}+q^{8}-3q^{9}-2q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/12482/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '12482.2.a', 'trace_display': [1, 0, 0, 3], 'traces': [1, 1, 0, 1, 0, 0, 3, 1, -3, 0, -2, 0, -2, 3, 0, 1, 3, -3, 0, 0, 0, -2, 1, 0, -5, -2, 0, 3, -6, 0, -4, 1, 0, 3, 0, -3, 4, 0, 0, 0, 7, 0, 8, -2, 0, 1, 0, 0, 2, -5, 0, -2, -12, 0, 0, 3, 0, -6, -14, 0, -6, -4, -9, 1, 0, 0, -2, 3, 0, 0, -9, -3, 3, 4, 0, 0, -6, 0, 0, 0, 9, 7, 2, 0, 0, 8, 0, -2, -1, 0, -6, 1, 0, 0, 0, 0, -14, 2, 6, -5], 'weight': 2, 'weight_parity': 1}
-
label 12482.2.a.g does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [123, 133, 143, 114], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [39, 40, 40, 40], 'ALdims_old': [238, 257, 237, 256], 'Nk2': 49928, 'analytic_conductor': 99.66927180296217, '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': [12482, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 1501, 'dim': 513, 'eis_dim': 159, 'eis_new_dim': 0, 'hecke_orbit_code': 33566914, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 8, 12, 16, 16, 16, 24, 24, 24, 24, 24, 36, 36, 36, 36, 48, 64], 'label': '12482.2.a', 'level': 12482, '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, 79], 'level_radical': 158, 'mf_dim': 1660, 'mf_new_dim': 513, 'num_forms': 46, 'plus_dim': 237, 'prim_orbit_index': 1, 'relative_dim': 513, 'sturm_bound': 3160, 'trace_display': [1, 2, 6, -4], 'traces': [513, 1, 2, 513, 6, 2, -4, 1, 513, 2, 0, 2, 2, 4, -8, 513, -2, -3, 4, 6, -8, 8, 4, 2, 523, 6, 8, -4, -4, 0, 0, 1, 8, -2, 4, 513, 0, -4, -8, 2, 14, -4, 10, 0, 38, 12, 12, 2, 509, -1, 40, 2, 4, 8, -12, 4, -32, -4, -10, -8, -20, 0, -8, 513, -24, 0, -16, -2, -24, -28, 36, -3, -14, 16, 2, 4, 0, -32, 0, 6, 537, -2, -52, -8, 20, -22, 32, 8, 14, 6, -44, 4, -8, -12, -12, 2, -26, 17, 12, 523, 2, 0, -28, 6, 20, 28, -6, 8, -8, -20, -36, -4, -6, 32, 32, -4, 10, -26, -20, 0, 557, -28, 8, 0, -36, 56, 4, 1, -24, 4, 24, 8, -16, 0, -20, -2, 54, 0, -26, 4, 32, -20, 28, 513, 40, 26, 30, 0, -4, 18, 12, -4, -58, -24, -20, -8, 24, 0, -16, 2, 8, -23, -4, 14, 0, 12, -76, -4, 451, 12, -24, 10, -32, -56, 24, 0, -28, 18, -40, 38, 46, 20, 44, 12, -24, -80, 24, 12, -48, 12, 72, 2, 62, -6, -4, 509, -24, 12, 16, -1, -8, -10, 76, 40, 36, -20, -20, 2, 8, 24, -22, 4, -40, 10, -60, 8, 0, -24, -44, -12, -52, -68, 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52, -22, -46, -20, -140, -32, 40, -126, -200, 48, 192, 4, -84, -32, -56, 16, -60, -4, 64, 24, -104, -4, 126, 168, -24, -30, -152, 100, -32, 42, 34, 32, 100, 12, 46, -72, -80, -10, -12, -40, 130, 0, -160, 0, 72, 40, 58, 84, -84, 4, 12, 20, 56, -8, 385, -104, 62, -14, -60, 108, 56, -19, -72, 32, -4, 26, -92, 0, -68, -20, -74, 120, 52, 46, -32, -58, -144, 36, -24, -8, 228, -4, 136, -64, 116, 0, -124, 32, -108, -48, -58, 84, -160, 24], 'weight': 2, 'weight_parity': 1}
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source_label 12482.2.a.g does not appear in mf_twists_nf
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hecke_orbit_code 27021597797789890 does not appear in mf_hecke_charpolys
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label 12482.2.a.g does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 135430542
{'hecke_orbit_code': 27021597797789890, 'n': 1, 'trace_an': 1}
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id: 135430543
{'hecke_orbit_code': 27021597797789890, 'n': 2, 'trace_an': 1}
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id: 135430544
{'hecke_orbit_code': 27021597797789890, 'n': 3, 'trace_an': 0}
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id: 135430545
{'hecke_orbit_code': 27021597797789890, 'n': 4, 'trace_an': 1}
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id: 135430546
{'hecke_orbit_code': 27021597797789890, 'n': 5, 'trace_an': 0}
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id: 135430547
{'hecke_orbit_code': 27021597797789890, 'n': 6, 'trace_an': 0}
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id: 135430548
{'hecke_orbit_code': 27021597797789890, 'n': 7, 'trace_an': 3}
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id: 135430549
{'hecke_orbit_code': 27021597797789890, 'n': 8, 'trace_an': 1}
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id: 135430550
{'hecke_orbit_code': 27021597797789890, 'n': 9, 'trace_an': -3}
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id: 135430551
{'hecke_orbit_code': 27021597797789890, 'n': 10, 'trace_an': 0}
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id: 135430552
{'hecke_orbit_code': 27021597797789890, 'n': 11, 'trace_an': -2}
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id: 135430553
{'hecke_orbit_code': 27021597797789890, 'n': 12, 'trace_an': 0}
-
id: 135430554
{'hecke_orbit_code': 27021597797789890, 'n': 13, 'trace_an': -2}
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id: 135430555
{'hecke_orbit_code': 27021597797789890, 'n': 14, 'trace_an': 3}
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id: 135430556
{'hecke_orbit_code': 27021597797789890, 'n': 15, 'trace_an': 0}
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id: 135430557
{'hecke_orbit_code': 27021597797789890, 'n': 16, 'trace_an': 1}
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id: 135430558
{'hecke_orbit_code': 27021597797789890, 'n': 17, 'trace_an': 3}
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id: 135430559
{'hecke_orbit_code': 27021597797789890, 'n': 18, 'trace_an': -3}
-
id: 135430560
{'hecke_orbit_code': 27021597797789890, 'n': 19, 'trace_an': 0}
-
id: 135430561
{'hecke_orbit_code': 27021597797789890, 'n': 20, 'trace_an': 0}
-
id: 135430562
{'hecke_orbit_code': 27021597797789890, 'n': 21, 'trace_an': 0}
-
id: 135430563
{'hecke_orbit_code': 27021597797789890, 'n': 22, 'trace_an': -2}
-
id: 135430564
{'hecke_orbit_code': 27021597797789890, 'n': 23, 'trace_an': 1}
-
id: 135430565
{'hecke_orbit_code': 27021597797789890, 'n': 24, 'trace_an': 0}
-
id: 135430566
{'hecke_orbit_code': 27021597797789890, 'n': 25, 'trace_an': -5}
-
id: 135430567
{'hecke_orbit_code': 27021597797789890, 'n': 26, 'trace_an': -2}
-
id: 135430568
{'hecke_orbit_code': 27021597797789890, 'n': 27, 'trace_an': 0}
-
id: 135430569
{'hecke_orbit_code': 27021597797789890, 'n': 28, 'trace_an': 3}
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id: 135430570
{'hecke_orbit_code': 27021597797789890, 'n': 29, 'trace_an': -6}
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id: 135430571
{'hecke_orbit_code': 27021597797789890, 'n': 30, 'trace_an': 0}
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id: 135430572
{'hecke_orbit_code': 27021597797789890, 'n': 31, 'trace_an': -4}
-
id: 135430573
{'hecke_orbit_code': 27021597797789890, 'n': 32, 'trace_an': 1}
-
id: 135430574
{'hecke_orbit_code': 27021597797789890, 'n': 33, 'trace_an': 0}
-
id: 135430575
{'hecke_orbit_code': 27021597797789890, 'n': 34, 'trace_an': 3}
-
id: 135430576
{'hecke_orbit_code': 27021597797789890, 'n': 35, 'trace_an': 0}
-
id: 135430577
{'hecke_orbit_code': 27021597797789890, 'n': 36, 'trace_an': -3}
-
id: 135430578
{'hecke_orbit_code': 27021597797789890, 'n': 37, 'trace_an': 4}
-
id: 135430579
{'hecke_orbit_code': 27021597797789890, 'n': 38, 'trace_an': 0}
-
id: 135430580
{'hecke_orbit_code': 27021597797789890, 'n': 39, 'trace_an': 0}
-
id: 135430581
{'hecke_orbit_code': 27021597797789890, 'n': 40, 'trace_an': 0}
-
id: 135430582
{'hecke_orbit_code': 27021597797789890, 'n': 41, 'trace_an': 7}
-
id: 135430583
{'hecke_orbit_code': 27021597797789890, 'n': 42, 'trace_an': 0}
-
id: 135430584
{'hecke_orbit_code': 27021597797789890, 'n': 43, 'trace_an': 8}
-
id: 135430585
{'hecke_orbit_code': 27021597797789890, 'n': 44, 'trace_an': -2}
-
id: 135430586
{'hecke_orbit_code': 27021597797789890, 'n': 45, 'trace_an': 0}
-
id: 135430587
{'hecke_orbit_code': 27021597797789890, 'n': 46, 'trace_an': 1}
-
id: 135430588
{'hecke_orbit_code': 27021597797789890, 'n': 47, 'trace_an': 0}
-
id: 135430589
{'hecke_orbit_code': 27021597797789890, 'n': 48, 'trace_an': 0}
-
id: 135430590
{'hecke_orbit_code': 27021597797789890, 'n': 49, 'trace_an': 2}
-
id: 135430591
{'hecke_orbit_code': 27021597797789890, 'n': 50, 'trace_an': -5}
-
id: 135430592
{'hecke_orbit_code': 27021597797789890, 'n': 51, 'trace_an': 0}
-
id: 135430593
{'hecke_orbit_code': 27021597797789890, 'n': 52, 'trace_an': -2}
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id: 135430594
{'hecke_orbit_code': 27021597797789890, 'n': 53, 'trace_an': -12}
-
id: 135430595
{'hecke_orbit_code': 27021597797789890, 'n': 54, 'trace_an': 0}
-
id: 135430596
{'hecke_orbit_code': 27021597797789890, 'n': 55, 'trace_an': 0}
-
id: 135430597
{'hecke_orbit_code': 27021597797789890, 'n': 56, 'trace_an': 3}
-
id: 135430598
{'hecke_orbit_code': 27021597797789890, 'n': 57, 'trace_an': 0}
-
id: 135430599
{'hecke_orbit_code': 27021597797789890, 'n': 58, 'trace_an': -6}
-
id: 135430600
{'hecke_orbit_code': 27021597797789890, 'n': 59, 'trace_an': -14}
-
id: 135430601
{'hecke_orbit_code': 27021597797789890, 'n': 60, 'trace_an': 0}
-
id: 135430602
{'hecke_orbit_code': 27021597797789890, 'n': 61, 'trace_an': -6}
-
id: 135430603
{'hecke_orbit_code': 27021597797789890, 'n': 62, 'trace_an': -4}
-
id: 135430604
{'hecke_orbit_code': 27021597797789890, 'n': 63, 'trace_an': -9}
-
id: 135430605
{'hecke_orbit_code': 27021597797789890, 'n': 64, 'trace_an': 1}
-
id: 135430606
{'hecke_orbit_code': 27021597797789890, 'n': 65, 'trace_an': 0}
-
id: 135430607
{'hecke_orbit_code': 27021597797789890, 'n': 66, 'trace_an': 0}
-
id: 135430608
{'hecke_orbit_code': 27021597797789890, 'n': 67, 'trace_an': -2}
-
id: 135430609
{'hecke_orbit_code': 27021597797789890, 'n': 68, 'trace_an': 3}
-
id: 135430610
{'hecke_orbit_code': 27021597797789890, 'n': 69, 'trace_an': 0}
-
id: 135430611
{'hecke_orbit_code': 27021597797789890, 'n': 70, 'trace_an': 0}
-
id: 135430612
{'hecke_orbit_code': 27021597797789890, 'n': 71, 'trace_an': -9}
-
id: 135430613
{'hecke_orbit_code': 27021597797789890, 'n': 72, 'trace_an': -3}
-
id: 135430614
{'hecke_orbit_code': 27021597797789890, 'n': 73, 'trace_an': 3}
-
id: 135430615
{'hecke_orbit_code': 27021597797789890, 'n': 74, 'trace_an': 4}
-
id: 135430616
{'hecke_orbit_code': 27021597797789890, 'n': 75, 'trace_an': 0}
-
id: 135430617
{'hecke_orbit_code': 27021597797789890, 'n': 76, 'trace_an': 0}
-
id: 135430618
{'hecke_orbit_code': 27021597797789890, 'n': 77, 'trace_an': -6}
-
id: 135430619
{'hecke_orbit_code': 27021597797789890, 'n': 78, 'trace_an': 0}
-
id: 135430620
{'hecke_orbit_code': 27021597797789890, 'n': 79, 'trace_an': 0}
-
id: 135430621
{'hecke_orbit_code': 27021597797789890, 'n': 80, 'trace_an': 0}
-
id: 135430622
{'hecke_orbit_code': 27021597797789890, 'n': 81, 'trace_an': 9}
-
id: 135430623
{'hecke_orbit_code': 27021597797789890, 'n': 82, 'trace_an': 7}
-
id: 135430624
{'hecke_orbit_code': 27021597797789890, 'n': 83, 'trace_an': 2}
-
id: 135430625
{'hecke_orbit_code': 27021597797789890, 'n': 84, 'trace_an': 0}
-
id: 135430626
{'hecke_orbit_code': 27021597797789890, 'n': 85, 'trace_an': 0}
-
id: 135430627
{'hecke_orbit_code': 27021597797789890, 'n': 86, 'trace_an': 8}
-
id: 135430628
{'hecke_orbit_code': 27021597797789890, 'n': 87, 'trace_an': 0}
-
id: 135430629
{'hecke_orbit_code': 27021597797789890, 'n': 88, 'trace_an': -2}
-
id: 135430630
{'hecke_orbit_code': 27021597797789890, 'n': 89, 'trace_an': -1}
-
id: 135430631
{'hecke_orbit_code': 27021597797789890, 'n': 90, 'trace_an': 0}
-
id: 135430632
{'hecke_orbit_code': 27021597797789890, 'n': 91, 'trace_an': -6}
-
id: 135430633
{'hecke_orbit_code': 27021597797789890, 'n': 92, 'trace_an': 1}
-
id: 135430634
{'hecke_orbit_code': 27021597797789890, 'n': 93, 'trace_an': 0}
-
id: 135430635
{'hecke_orbit_code': 27021597797789890, 'n': 94, 'trace_an': 0}
-
id: 135430636
{'hecke_orbit_code': 27021597797789890, 'n': 95, 'trace_an': 0}
-
id: 135430637
{'hecke_orbit_code': 27021597797789890, 'n': 96, 'trace_an': 0}
-
id: 135430638
{'hecke_orbit_code': 27021597797789890, 'n': 97, 'trace_an': -14}
-
id: 135430639
{'hecke_orbit_code': 27021597797789890, 'n': 98, 'trace_an': 2}
-
id: 135430640
{'hecke_orbit_code': 27021597797789890, 'n': 99, 'trace_an': 6}
-
id: 135430641
{'hecke_orbit_code': 27021597797789890, 'n': 100, 'trace_an': -5}