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mf_newforms • Show schema
Hide schema
{'Nk2': 90972, 'analytic_conductor': 181.60376931699798, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [19, 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': [22743, 1, [10109, 6499, 9388], [49, 49, 49]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 4, 'field_disc_factorization': [[2, 2]], 'field_poly': [1, -1, -4, 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': 49, 'hecke_orbit_code': 216172782147360983, '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': '22743.2.a.bw', 'level': 22743, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 19], 'level_radical': 399, 'nf_label': '4.4.1957.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22743.2.a', 'trace_display': [1, 0, 2, -4], 'traces': [4, 1, 0, 3, 2, 0, -4, -3, 0, -6, 8, 0, 2, -1, 0, 5, -1, 0, 0, 15, 0, -4, -1, 0, 8, -5, 0, -3, 3, 0, 11, 10, 0, 24, -2, 0, 17, 0, 0, -8, -17, 0, -15, 19, 0, 24, 3, 0, 4, -21, 0, 27, 1, 0, -3, 3, 0, 5, 32, 0, -11, 13, 0, -31, 28, 0, 4, -17, 0, 6, -5, 0, 24, -3, 0, 0, -8, 0, 9, -11, 0, 0, 5, 0, -27, 39, 0, -1, -14, 0, -2, -17, 0, -23, 0, 0, 3, 1, 0, -15], 'weight': 2, 'weight_parity': 1}
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label 22743.2.a.bw does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [80, 90, 100, 72, 130, 126, 120, 135], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [19, 20, 20, 20, 20, 20, 20, 20], 'ALdims_old': [281, 290, 280, 288, 250, 234, 240, 245], 'Nk2': 90972, 'analytic_conductor': 181.60376931699798, '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': [22743, 1, [10109, 6499, 9388], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2961, 'dim': 853, 'eis_dim': 159, 'eis_new_dim': 0, 'hecke_orbit_code': 33577175, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 9, 10, 10, 10, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 15, 15, 15, 15, 16, 16, 16, 18, 18, 18, 18, 20, 20, 24, 24, 30, 30, 30, 30, 48], 'label': '22743.2.a', 'level': 22743, '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': [3, 7, 19], 'level_radical': 399, 'mf_dim': 3120, 'mf_new_dim': 853, 'num_forms': 106, 'plus_dim': 398, 'prim_orbit_index': 1, 'relative_dim': 853, 'sturm_bound': 6080, 'trace_display': [3, 0, 2, 1], 'traces': [853, 3, 0, 859, 2, 0, 1, 3, 0, -2, 0, 0, 10, 3, 0, 863, 14, 0, 0, 6, 0, -20, -8, 0, 875, 2, 0, 3, 18, 0, 0, -21, 0, -22, -6, 0, 10, 0, 0, -42, 34, 0, -20, 0, 0, 4, 4, 0, 853, -43, 0, 50, -10, 0, -4, 15, 0, 38, 16, 0, 42, -64, 0, 891, 56, 0, 16, -46, 0, 14, -20, 0, -22, 10, 0, 0, -4, 0, 0, -54, 0, 14, -36, 0, 56, -52, 0, 12, 10, 0, -2, -88, 0, 36, 0, 0, -10, 3, 0, 969, 34, 0, -12, -6, 0, 98, 48, 0, 34, -28, 0, 23, 10, 0, 36, 58, 0, 64, -14, 0, 845, 38, 0, 68, 0, 0, -40, 31, 0, 64, 56, 0, 0, 84, 0, -74, 46, 0, -56, -14, 0, -28, -56, 0, 20, -50, 0, 62, 34, 0, -44, 0, 0, 24, -20, 0, -14, 12, 0, 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-60, 248, 0, 78, 516, 0, -128, 0, 0, 220, -216, 0, 164, 104, 0, -198, 442, 0, 741, -158, 0, -38, 168, 0, 196, -144, 0, 416, 3, 0, -44, 236, 0, 76, -142, 0, 100, 108, 0, -28, -174, 0, -35, 162, 0, 0, 124, 0, -182, 62, 0, 154, -136, 0, -122, -80, 0, 44, -228, 0, -320, -104, 0, -8, 0, 0, 54, 186, 0, -60, -126, 0, 104, -596, 0, 58, -52, 0, 32, -96, 0, -100, -140, 0, 458, -36, 0, 72, -242, 0, -4, 4, 0, 0, 416, 0, -160, 80, 0, 170, -928, 0, 0, 418, 0, -50, 408, 0, -212, -108, 0, -6, -152, 0, -106, -242, 0, -128, -54, 0, 154, 0, 0, 108, -388, 0, 863, -32, 0, 100, 370, 0, 144, 58, 0, -40, -278, 0, -80, -2, 0, -196, -175, 0, 398, -504, 0, -44, -60, 0, 142, 54, 0, -236, 130, 0, 148, -160, 0, 0, 46, 0, 316, -6, 0, -40, 320, 0, -80, 168, 0, 86, -68, 0, 286, 14, 0, -132, 0, 0, -168, -128, 0, 859, 314, 0, 248, 138, 0, -19, -466, 0, 90, 76, 0, 270, 30, 0, -172, 98, 0, -120, -132, 0, -8, 88, 0, 212, -778, 0, -12, -120, 0, -204, 162, 0, 0, -72, 0, -34, -236, 0, 136, 54, 0, 148, -268, 0, -252, 140, 0, 0, -12, 0, 88, 0, 0, -176, 199, 0, 218, 24, 0, 80, -208, 0, 50, 224, 0, -104, -176, 0, -60, -24, 0, 124, -270, 0, 38, -96, 0, -48, -116, 0, -198, 144, 0, 186, 136, 0, -94, 190, 0, 0, 314, 0, 36, 228, 0, 370, 248, 0, 68, 62, 0, 40, 152, 0, -176, -428, 0, 300, 0, 0, -86, 6, 0, 96, -116, 0, 68, -22, 0, 873, 384, 0, 294, 12, 0, -184, 7, 0, -276, -24, 0, -12, 356, 0, -138, 18, 0, -120, 6, 0, 8, 132, 0, 252, 460, 0, 0, -224, 0, 8, -392, 0, 108, -500, 0, 102, -176, 0, 48], 'weight': 2, 'weight_parity': 1}
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source_label 22743.2.a.bw does not appear in mf_twists_nf
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hecke_orbit_code 216172782147360983 does not appear in mf_hecke_charpolys
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label 22743.2.a.bw does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 172652042
{'hecke_orbit_code': 216172782147360983, 'n': 1, 'trace_an': 4}
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id: 172652043
{'hecke_orbit_code': 216172782147360983, 'n': 2, 'trace_an': 1}
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id: 172652044
{'hecke_orbit_code': 216172782147360983, 'n': 3, 'trace_an': 0}
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id: 172652045
{'hecke_orbit_code': 216172782147360983, 'n': 4, 'trace_an': 3}
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id: 172652046
{'hecke_orbit_code': 216172782147360983, 'n': 5, 'trace_an': 2}
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id: 172652047
{'hecke_orbit_code': 216172782147360983, 'n': 6, 'trace_an': 0}
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id: 172652048
{'hecke_orbit_code': 216172782147360983, 'n': 7, 'trace_an': -4}
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id: 172652049
{'hecke_orbit_code': 216172782147360983, 'n': 8, 'trace_an': -3}
-
id: 172652050
{'hecke_orbit_code': 216172782147360983, 'n': 9, 'trace_an': 0}
-
id: 172652051
{'hecke_orbit_code': 216172782147360983, 'n': 10, 'trace_an': -6}
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id: 172652052
{'hecke_orbit_code': 216172782147360983, 'n': 11, 'trace_an': 8}
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id: 172652053
{'hecke_orbit_code': 216172782147360983, 'n': 12, 'trace_an': 0}
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id: 172652054
{'hecke_orbit_code': 216172782147360983, 'n': 13, 'trace_an': 2}
-
id: 172652055
{'hecke_orbit_code': 216172782147360983, 'n': 14, 'trace_an': -1}
-
id: 172652056
{'hecke_orbit_code': 216172782147360983, 'n': 15, 'trace_an': 0}
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id: 172652057
{'hecke_orbit_code': 216172782147360983, 'n': 16, 'trace_an': 5}
-
id: 172652058
{'hecke_orbit_code': 216172782147360983, 'n': 17, 'trace_an': -1}
-
id: 172652059
{'hecke_orbit_code': 216172782147360983, 'n': 18, 'trace_an': 0}
-
id: 172652060
{'hecke_orbit_code': 216172782147360983, 'n': 19, 'trace_an': 0}
-
id: 172652061
{'hecke_orbit_code': 216172782147360983, 'n': 20, 'trace_an': 15}
-
id: 172652062
{'hecke_orbit_code': 216172782147360983, 'n': 21, 'trace_an': 0}
-
id: 172652063
{'hecke_orbit_code': 216172782147360983, 'n': 22, 'trace_an': -4}
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id: 172652064
{'hecke_orbit_code': 216172782147360983, 'n': 23, 'trace_an': -1}
-
id: 172652065
{'hecke_orbit_code': 216172782147360983, 'n': 24, 'trace_an': 0}
-
id: 172652066
{'hecke_orbit_code': 216172782147360983, 'n': 25, 'trace_an': 8}
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id: 172652067
{'hecke_orbit_code': 216172782147360983, 'n': 26, 'trace_an': -5}
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id: 172652068
{'hecke_orbit_code': 216172782147360983, 'n': 27, 'trace_an': 0}
-
id: 172652069
{'hecke_orbit_code': 216172782147360983, 'n': 28, 'trace_an': -3}
-
id: 172652070
{'hecke_orbit_code': 216172782147360983, 'n': 29, 'trace_an': 3}
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id: 172652071
{'hecke_orbit_code': 216172782147360983, 'n': 30, 'trace_an': 0}
-
id: 172652072
{'hecke_orbit_code': 216172782147360983, 'n': 31, 'trace_an': 11}
-
id: 172652073
{'hecke_orbit_code': 216172782147360983, 'n': 32, 'trace_an': 10}
-
id: 172652074
{'hecke_orbit_code': 216172782147360983, 'n': 33, 'trace_an': 0}
-
id: 172652075
{'hecke_orbit_code': 216172782147360983, 'n': 34, 'trace_an': 24}
-
id: 172652076
{'hecke_orbit_code': 216172782147360983, 'n': 35, 'trace_an': -2}
-
id: 172652077
{'hecke_orbit_code': 216172782147360983, 'n': 36, 'trace_an': 0}
-
id: 172652078
{'hecke_orbit_code': 216172782147360983, 'n': 37, 'trace_an': 17}
-
id: 172652079
{'hecke_orbit_code': 216172782147360983, 'n': 38, 'trace_an': 0}
-
id: 172652080
{'hecke_orbit_code': 216172782147360983, 'n': 39, 'trace_an': 0}
-
id: 172652081
{'hecke_orbit_code': 216172782147360983, 'n': 40, 'trace_an': -8}
-
id: 172652082
{'hecke_orbit_code': 216172782147360983, 'n': 41, 'trace_an': -17}
-
id: 172652083
{'hecke_orbit_code': 216172782147360983, 'n': 42, 'trace_an': 0}
-
id: 172652084
{'hecke_orbit_code': 216172782147360983, 'n': 43, 'trace_an': -15}
-
id: 172652085
{'hecke_orbit_code': 216172782147360983, 'n': 44, 'trace_an': 19}
-
id: 172652086
{'hecke_orbit_code': 216172782147360983, 'n': 45, 'trace_an': 0}
-
id: 172652087
{'hecke_orbit_code': 216172782147360983, 'n': 46, 'trace_an': 24}
-
id: 172652088
{'hecke_orbit_code': 216172782147360983, 'n': 47, 'trace_an': 3}
-
id: 172652089
{'hecke_orbit_code': 216172782147360983, 'n': 48, 'trace_an': 0}
-
id: 172652090
{'hecke_orbit_code': 216172782147360983, 'n': 49, 'trace_an': 4}
-
id: 172652091
{'hecke_orbit_code': 216172782147360983, 'n': 50, 'trace_an': -21}
-
id: 172652092
{'hecke_orbit_code': 216172782147360983, 'n': 51, 'trace_an': 0}
-
id: 172652093
{'hecke_orbit_code': 216172782147360983, 'n': 52, 'trace_an': 27}
-
id: 172652094
{'hecke_orbit_code': 216172782147360983, 'n': 53, 'trace_an': 1}
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id: 172652095
{'hecke_orbit_code': 216172782147360983, 'n': 54, 'trace_an': 0}
-
id: 172652096
{'hecke_orbit_code': 216172782147360983, 'n': 55, 'trace_an': -3}
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id: 172652097
{'hecke_orbit_code': 216172782147360983, 'n': 56, 'trace_an': 3}
-
id: 172652098
{'hecke_orbit_code': 216172782147360983, 'n': 57, 'trace_an': 0}
-
id: 172652099
{'hecke_orbit_code': 216172782147360983, 'n': 58, 'trace_an': 5}
-
id: 172652100
{'hecke_orbit_code': 216172782147360983, 'n': 59, 'trace_an': 32}
-
id: 172652101
{'hecke_orbit_code': 216172782147360983, 'n': 60, 'trace_an': 0}
-
id: 172652102
{'hecke_orbit_code': 216172782147360983, 'n': 61, 'trace_an': -11}
-
id: 172652103
{'hecke_orbit_code': 216172782147360983, 'n': 62, 'trace_an': 13}
-
id: 172652104
{'hecke_orbit_code': 216172782147360983, 'n': 63, 'trace_an': 0}
-
id: 172652105
{'hecke_orbit_code': 216172782147360983, 'n': 64, 'trace_an': -31}
-
id: 172652106
{'hecke_orbit_code': 216172782147360983, 'n': 65, 'trace_an': 28}
-
id: 172652107
{'hecke_orbit_code': 216172782147360983, 'n': 66, 'trace_an': 0}
-
id: 172652108
{'hecke_orbit_code': 216172782147360983, 'n': 67, 'trace_an': 4}
-
id: 172652109
{'hecke_orbit_code': 216172782147360983, 'n': 68, 'trace_an': -17}
-
id: 172652110
{'hecke_orbit_code': 216172782147360983, 'n': 69, 'trace_an': 0}
-
id: 172652111
{'hecke_orbit_code': 216172782147360983, 'n': 70, 'trace_an': 6}
-
id: 172652112
{'hecke_orbit_code': 216172782147360983, 'n': 71, 'trace_an': -5}
-
id: 172652113
{'hecke_orbit_code': 216172782147360983, 'n': 72, 'trace_an': 0}
-
id: 172652114
{'hecke_orbit_code': 216172782147360983, 'n': 73, 'trace_an': 24}
-
id: 172652115
{'hecke_orbit_code': 216172782147360983, 'n': 74, 'trace_an': -3}
-
id: 172652116
{'hecke_orbit_code': 216172782147360983, 'n': 75, 'trace_an': 0}
-
id: 172652117
{'hecke_orbit_code': 216172782147360983, 'n': 76, 'trace_an': 0}
-
id: 172652118
{'hecke_orbit_code': 216172782147360983, 'n': 77, 'trace_an': -8}
-
id: 172652119
{'hecke_orbit_code': 216172782147360983, 'n': 78, 'trace_an': 0}
-
id: 172652120
{'hecke_orbit_code': 216172782147360983, 'n': 79, 'trace_an': 9}
-
id: 172652121
{'hecke_orbit_code': 216172782147360983, 'n': 80, 'trace_an': -11}
-
id: 172652122
{'hecke_orbit_code': 216172782147360983, 'n': 81, 'trace_an': 0}
-
id: 172652123
{'hecke_orbit_code': 216172782147360983, 'n': 82, 'trace_an': 0}
-
id: 172652124
{'hecke_orbit_code': 216172782147360983, 'n': 83, 'trace_an': 5}
-
id: 172652125
{'hecke_orbit_code': 216172782147360983, 'n': 84, 'trace_an': 0}
-
id: 172652126
{'hecke_orbit_code': 216172782147360983, 'n': 85, 'trace_an': -27}
-
id: 172652127
{'hecke_orbit_code': 216172782147360983, 'n': 86, 'trace_an': 39}
-
id: 172652128
{'hecke_orbit_code': 216172782147360983, 'n': 87, 'trace_an': 0}
-
id: 172652129
{'hecke_orbit_code': 216172782147360983, 'n': 88, 'trace_an': -1}
-
id: 172652130
{'hecke_orbit_code': 216172782147360983, 'n': 89, 'trace_an': -14}
-
id: 172652131
{'hecke_orbit_code': 216172782147360983, 'n': 90, 'trace_an': 0}
-
id: 172652132
{'hecke_orbit_code': 216172782147360983, 'n': 91, 'trace_an': -2}
-
id: 172652133
{'hecke_orbit_code': 216172782147360983, 'n': 92, 'trace_an': -17}
-
id: 172652134
{'hecke_orbit_code': 216172782147360983, 'n': 93, 'trace_an': 0}
-
id: 172652135
{'hecke_orbit_code': 216172782147360983, 'n': 94, 'trace_an': -23}
-
id: 172652136
{'hecke_orbit_code': 216172782147360983, 'n': 95, 'trace_an': 0}
-
id: 172652137
{'hecke_orbit_code': 216172782147360983, 'n': 96, 'trace_an': 0}
-
id: 172652138
{'hecke_orbit_code': 216172782147360983, 'n': 97, 'trace_an': 3}
-
id: 172652139
{'hecke_orbit_code': 216172782147360983, 'n': 98, 'trace_an': 1}
-
id: 172652140
{'hecke_orbit_code': 216172782147360983, 'n': 99, 'trace_an': 0}
-
id: 172652141
{'hecke_orbit_code': 216172782147360983, 'n': 100, 'trace_an': -15}