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mf_newforms • Show schema
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{'Nk2': 133128, 'analytic_conductor': 265.75810800722536, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [43, -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': [33282, 1, [29585, 7399], [89, 89]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_poly': [-251, 963, -20, -1834, 566, 1249, -463, -389, 146, 56, -20, -3, 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': 89, 'hecke_orbit_code': 396316767242191362, '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': '33282.2.a.dk', 'level': 33282, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 43], 'level_radical': 258, 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '33282.2.a', 'trace_display': [-12, 0, 7, -5], 'traces': [12, -12, 0, 12, 7, 0, -5, -12, 0, -7, 11, 0, -9, 5, 0, 12, 1, 0, -7, 7, 0, -11, -12, 0, 17, 9, 0, -5, 18, 0, -17, -12, 0, -1, -28, 0, -31, 7, 0, -7, -6, 0, 0, 11, 0, 12, -28, 0, -7, -17, 0, -9, 13, 0, 14, 5, 0, -18, -34, 0, 22, 17, 0, 12, 63, 0, -23, 1, 0, 28, 52, 0, 22, 31, 0, -7, 19, 0, -15, 7, 0, 6, -14, 0, -7, 0, 0, -11, 61, 0, 0, -12, 0, 28, -14, 0, -41, 7, 0, 17], 'weight': 2, 'weight_parity': 1}
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label 33282.2.a.dk does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [81, 70, 115, 110, 81, 70, 105, 121], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [43, 44, 44, 44, 44, 44, 44, 44], 'ALdims_old': [591, 633, 578, 572, 612, 613, 588, 561], 'Nk2': 133128, 'analytic_conductor': 265.75810800722536, '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': [33282, 1, [29585, 7399], [1, 1]], 'conrey_index': 1, 'cusp_dim': 5501, 'dim': 753, 'eis_dim': 351, 'eis_new_dim': 0, 'hecke_orbit_code': 33587714, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 15, 15, 20, 20, 20, 20, 24, 24, 24, 24, 40, 40], 'label': '33282.2.a', 'level': 33282, '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, 43], 'level_radical': 258, 'mf_dim': 5852, 'mf_new_dim': 753, 'num_forms': 109, 'plus_dim': 366, 'prim_orbit_index': 1, 'relative_dim': 753, 'sturm_bound': 11352, 'trace_display': [1, 0, -2, -4], 'traces': [753, 1, 0, 753, -2, 0, -4, 1, 0, 0, -6, 0, 4, 4, 0, 753, -6, 0, 8, -2, 0, -8, -20, 0, 757, 2, 0, -4, -6, 0, 8, 1, 0, 6, 0, 0, 22, -2, 0, 0, 2, 0, 0, -6, 0, -4, -4, 0, 753, -9, 0, 4, -12, 0, -4, 4, 0, 12, 10, 0, -30, -4, 0, 753, 0, 0, 2, -6, 0, -20, -24, 0, -2, 0, 0, 8, 0, 0, 12, -2, 0, -18, -34, 0, 8, 0, 0, -8, 18, 0, 16, -20, 0, 4, -8, 0, 2, 9, 0, 757, 52, 0, 0, 2, 0, 10, 54, 0, 20, -44, 0, -4, 62, 0, 0, -6, 0, 16, -16, 0, 763, 0, 0, 8, 48, 0, -28, 1, 0, 48, -44, 0, 44, 20, 0, 6, -6, 0, 30, 0, 0, 8, 28, 0, 52, 18, 0, 22, 74, 0, 44, -2, 0, 28, -20, 0, 50, 20, 0, 0, 36, 0, 8, 2, 0, -48, 28, 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82, 0, 40, 50, 0, 70, 44, 0, -134, 116, 0, -76, -48, 0, -20, 10, 0, 0, -94, 0, -68, -158, 0, 20, 154, 0, 84, -32, 0, -44, -80, 0, 517, -120, 0, 26, -8, 0, -184, 69, 0, 44, -154, 0, -8, 132, 0, -30, 34, 0, -56, -66, 0, -62, -4, 0, -64, -88, 0, -36, 0, 0, 60, -4, 0, 24, -8, 0, 54, 6, 0, -12], 'weight': 2, 'weight_parity': 1}
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source_label 33282.2.a.dk does not appear in mf_twists_nf
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hecke_orbit_code 396316767242191362 does not appear in mf_hecke_charpolys
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label 33282.2.a.dk does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 180521642
{'hecke_orbit_code': 396316767242191362, 'n': 1, 'trace_an': 12}
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id: 180521643
{'hecke_orbit_code': 396316767242191362, 'n': 2, 'trace_an': -12}
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id: 180521644
{'hecke_orbit_code': 396316767242191362, 'n': 3, 'trace_an': 0}
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id: 180521645
{'hecke_orbit_code': 396316767242191362, 'n': 4, 'trace_an': 12}
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id: 180521646
{'hecke_orbit_code': 396316767242191362, 'n': 5, 'trace_an': 7}
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id: 180521647
{'hecke_orbit_code': 396316767242191362, 'n': 6, 'trace_an': 0}
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id: 180521648
{'hecke_orbit_code': 396316767242191362, 'n': 7, 'trace_an': -5}
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id: 180521649
{'hecke_orbit_code': 396316767242191362, 'n': 8, 'trace_an': -12}
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id: 180521650
{'hecke_orbit_code': 396316767242191362, 'n': 9, 'trace_an': 0}
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id: 180521651
{'hecke_orbit_code': 396316767242191362, 'n': 10, 'trace_an': -7}
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id: 180521652
{'hecke_orbit_code': 396316767242191362, 'n': 11, 'trace_an': 11}
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id: 180521653
{'hecke_orbit_code': 396316767242191362, 'n': 12, 'trace_an': 0}
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id: 180521654
{'hecke_orbit_code': 396316767242191362, 'n': 13, 'trace_an': -9}
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id: 180521655
{'hecke_orbit_code': 396316767242191362, 'n': 14, 'trace_an': 5}
-
id: 180521656
{'hecke_orbit_code': 396316767242191362, 'n': 15, 'trace_an': 0}
-
id: 180521657
{'hecke_orbit_code': 396316767242191362, 'n': 16, 'trace_an': 12}
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id: 180521658
{'hecke_orbit_code': 396316767242191362, 'n': 17, 'trace_an': 1}
-
id: 180521659
{'hecke_orbit_code': 396316767242191362, 'n': 18, 'trace_an': 0}
-
id: 180521660
{'hecke_orbit_code': 396316767242191362, 'n': 19, 'trace_an': -7}
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id: 180521661
{'hecke_orbit_code': 396316767242191362, 'n': 20, 'trace_an': 7}
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id: 180521662
{'hecke_orbit_code': 396316767242191362, 'n': 21, 'trace_an': 0}
-
id: 180521663
{'hecke_orbit_code': 396316767242191362, 'n': 22, 'trace_an': -11}
-
id: 180521664
{'hecke_orbit_code': 396316767242191362, 'n': 23, 'trace_an': -12}
-
id: 180521665
{'hecke_orbit_code': 396316767242191362, 'n': 24, 'trace_an': 0}
-
id: 180521666
{'hecke_orbit_code': 396316767242191362, 'n': 25, 'trace_an': 17}
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id: 180521667
{'hecke_orbit_code': 396316767242191362, 'n': 26, 'trace_an': 9}
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id: 180521668
{'hecke_orbit_code': 396316767242191362, 'n': 27, 'trace_an': 0}
-
id: 180521669
{'hecke_orbit_code': 396316767242191362, 'n': 28, 'trace_an': -5}
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id: 180521670
{'hecke_orbit_code': 396316767242191362, 'n': 29, 'trace_an': 18}
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id: 180521671
{'hecke_orbit_code': 396316767242191362, 'n': 30, 'trace_an': 0}
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id: 180521672
{'hecke_orbit_code': 396316767242191362, 'n': 31, 'trace_an': -17}
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id: 180521673
{'hecke_orbit_code': 396316767242191362, 'n': 32, 'trace_an': -12}
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id: 180521674
{'hecke_orbit_code': 396316767242191362, 'n': 33, 'trace_an': 0}
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id: 180521675
{'hecke_orbit_code': 396316767242191362, 'n': 34, 'trace_an': -1}
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id: 180521676
{'hecke_orbit_code': 396316767242191362, 'n': 35, 'trace_an': -28}
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id: 180521677
{'hecke_orbit_code': 396316767242191362, 'n': 36, 'trace_an': 0}
-
id: 180521678
{'hecke_orbit_code': 396316767242191362, 'n': 37, 'trace_an': -31}
-
id: 180521679
{'hecke_orbit_code': 396316767242191362, 'n': 38, 'trace_an': 7}
-
id: 180521680
{'hecke_orbit_code': 396316767242191362, 'n': 39, 'trace_an': 0}
-
id: 180521681
{'hecke_orbit_code': 396316767242191362, 'n': 40, 'trace_an': -7}
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id: 180521682
{'hecke_orbit_code': 396316767242191362, 'n': 41, 'trace_an': -6}
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id: 180521683
{'hecke_orbit_code': 396316767242191362, 'n': 42, 'trace_an': 0}
-
id: 180521684
{'hecke_orbit_code': 396316767242191362, 'n': 43, 'trace_an': 0}
-
id: 180521685
{'hecke_orbit_code': 396316767242191362, 'n': 44, 'trace_an': 11}
-
id: 180521686
{'hecke_orbit_code': 396316767242191362, 'n': 45, 'trace_an': 0}
-
id: 180521687
{'hecke_orbit_code': 396316767242191362, 'n': 46, 'trace_an': 12}
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id: 180521688
{'hecke_orbit_code': 396316767242191362, 'n': 47, 'trace_an': -28}
-
id: 180521689
{'hecke_orbit_code': 396316767242191362, 'n': 48, 'trace_an': 0}
-
id: 180521690
{'hecke_orbit_code': 396316767242191362, 'n': 49, 'trace_an': -7}
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id: 180521691
{'hecke_orbit_code': 396316767242191362, 'n': 50, 'trace_an': -17}
-
id: 180521692
{'hecke_orbit_code': 396316767242191362, 'n': 51, 'trace_an': 0}
-
id: 180521693
{'hecke_orbit_code': 396316767242191362, 'n': 52, 'trace_an': -9}
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id: 180521694
{'hecke_orbit_code': 396316767242191362, 'n': 53, 'trace_an': 13}
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id: 180521695
{'hecke_orbit_code': 396316767242191362, 'n': 54, 'trace_an': 0}
-
id: 180521696
{'hecke_orbit_code': 396316767242191362, 'n': 55, 'trace_an': 14}
-
id: 180521697
{'hecke_orbit_code': 396316767242191362, 'n': 56, 'trace_an': 5}
-
id: 180521698
{'hecke_orbit_code': 396316767242191362, 'n': 57, 'trace_an': 0}
-
id: 180521699
{'hecke_orbit_code': 396316767242191362, 'n': 58, 'trace_an': -18}
-
id: 180521700
{'hecke_orbit_code': 396316767242191362, 'n': 59, 'trace_an': -34}
-
id: 180521701
{'hecke_orbit_code': 396316767242191362, 'n': 60, 'trace_an': 0}
-
id: 180521702
{'hecke_orbit_code': 396316767242191362, 'n': 61, 'trace_an': 22}
-
id: 180521703
{'hecke_orbit_code': 396316767242191362, 'n': 62, 'trace_an': 17}
-
id: 180521704
{'hecke_orbit_code': 396316767242191362, 'n': 63, 'trace_an': 0}
-
id: 180521705
{'hecke_orbit_code': 396316767242191362, 'n': 64, 'trace_an': 12}
-
id: 180521706
{'hecke_orbit_code': 396316767242191362, 'n': 65, 'trace_an': 63}
-
id: 180521707
{'hecke_orbit_code': 396316767242191362, 'n': 66, 'trace_an': 0}
-
id: 180521708
{'hecke_orbit_code': 396316767242191362, 'n': 67, 'trace_an': -23}
-
id: 180521709
{'hecke_orbit_code': 396316767242191362, 'n': 68, 'trace_an': 1}
-
id: 180521710
{'hecke_orbit_code': 396316767242191362, 'n': 69, 'trace_an': 0}
-
id: 180521711
{'hecke_orbit_code': 396316767242191362, 'n': 70, 'trace_an': 28}
-
id: 180521712
{'hecke_orbit_code': 396316767242191362, 'n': 71, 'trace_an': 52}
-
id: 180521713
{'hecke_orbit_code': 396316767242191362, 'n': 72, 'trace_an': 0}
-
id: 180521714
{'hecke_orbit_code': 396316767242191362, 'n': 73, 'trace_an': 22}
-
id: 180521715
{'hecke_orbit_code': 396316767242191362, 'n': 74, 'trace_an': 31}
-
id: 180521716
{'hecke_orbit_code': 396316767242191362, 'n': 75, 'trace_an': 0}
-
id: 180521717
{'hecke_orbit_code': 396316767242191362, 'n': 76, 'trace_an': -7}
-
id: 180521718
{'hecke_orbit_code': 396316767242191362, 'n': 77, 'trace_an': 19}
-
id: 180521719
{'hecke_orbit_code': 396316767242191362, 'n': 78, 'trace_an': 0}
-
id: 180521720
{'hecke_orbit_code': 396316767242191362, 'n': 79, 'trace_an': -15}
-
id: 180521721
{'hecke_orbit_code': 396316767242191362, 'n': 80, 'trace_an': 7}
-
id: 180521722
{'hecke_orbit_code': 396316767242191362, 'n': 81, 'trace_an': 0}
-
id: 180521723
{'hecke_orbit_code': 396316767242191362, 'n': 82, 'trace_an': 6}
-
id: 180521724
{'hecke_orbit_code': 396316767242191362, 'n': 83, 'trace_an': -14}
-
id: 180521725
{'hecke_orbit_code': 396316767242191362, 'n': 84, 'trace_an': 0}
-
id: 180521726
{'hecke_orbit_code': 396316767242191362, 'n': 85, 'trace_an': -7}
-
id: 180521727
{'hecke_orbit_code': 396316767242191362, 'n': 86, 'trace_an': 0}
-
id: 180521728
{'hecke_orbit_code': 396316767242191362, 'n': 87, 'trace_an': 0}
-
id: 180521729
{'hecke_orbit_code': 396316767242191362, 'n': 88, 'trace_an': -11}
-
id: 180521730
{'hecke_orbit_code': 396316767242191362, 'n': 89, 'trace_an': 61}
-
id: 180521731
{'hecke_orbit_code': 396316767242191362, 'n': 90, 'trace_an': 0}
-
id: 180521732
{'hecke_orbit_code': 396316767242191362, 'n': 91, 'trace_an': 0}
-
id: 180521733
{'hecke_orbit_code': 396316767242191362, 'n': 92, 'trace_an': -12}
-
id: 180521734
{'hecke_orbit_code': 396316767242191362, 'n': 93, 'trace_an': 0}
-
id: 180521735
{'hecke_orbit_code': 396316767242191362, 'n': 94, 'trace_an': 28}
-
id: 180521736
{'hecke_orbit_code': 396316767242191362, 'n': 95, 'trace_an': -14}
-
id: 180521737
{'hecke_orbit_code': 396316767242191362, 'n': 96, 'trace_an': 0}
-
id: 180521738
{'hecke_orbit_code': 396316767242191362, 'n': 97, 'trace_an': -41}
-
id: 180521739
{'hecke_orbit_code': 396316767242191362, 'n': 98, 'trace_an': 7}
-
id: 180521740
{'hecke_orbit_code': 396316767242191362, 'n': 99, 'trace_an': 0}
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id: 180521741
{'hecke_orbit_code': 396316767242191362, 'n': 100, 'trace_an': 17}