-
mf_newforms • Show schema
Hide schema
{'Nk2': 121380, 'analytic_conductor': 242.30604493357532, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [7, 1], [17, 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': [30345, 1, [20231, 24277, 4336, 28036], [105, 105, 105, 105]], 'cm_discs': [], 'conrey_index': 1, 'dim': 24, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 105, 'hecke_orbit_code': 468374361280116361, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '30345.2.a.ea', 'level': 30345, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7, 17], 'level_radical': 1785, 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 24, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '30345.2.a', 'trace_display': [3, 24, -24, -24], 'traces': [24, 3, 24, 27, -24, 3, -24, 12, 24, -3, -9, 27, 6, -3, -24, 33, 0, 3, 12, -27, -24, -15, -6, 12, 24, 6, 24, -27, 18, -3, 9, 27, -9, 0, 24, 27, 0, 24, 6, -12, 33, -3, 18, -18, -24, -48, 21, 33, 24, 3, 0, 45, 12, 3, 9, -12, 12, -39, 18, -27, -6, 24, -24, 30, -6, -15, 24, 0, -6, 3, 12, 12, -6, -12, 24, 24, 9, 6, 12, -33, 24, -42, 6, -27, 0, 30, 18, 39, 63, -3, -6, -18, 9, 12, -12, 27, -3, 3, -9, 27], 'weight': 2, 'weight_parity': 1}
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label 30345.2.a.ea does not appear in mf_hecke_nf
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mf_newspaces • Show schema
Hide schema
{'ALdims': [62, 72, 80, 56, 64, 72, 64, 72, 64, 72, 64, 72, 62, 72, 80, 56], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [218, 249, 235, 235, 251, 217, 233, 233, 233, 233, 233, 235, 253, 219, 217, 247], 'Nk2': 121380, 'analytic_conductor': 242.30604493357532, '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': [30345, 1, [20231, 24277, 4336, 28036], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4825, 'dim': 1084, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_orbit_code': 33584777, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 15, 15, 16, 16, 16, 16, 18, 18, 20, 20, 24, 24, 24, 24, 24, 24, 24, 24, 30, 30, 30, 30, 32, 32, 32, 32, 40, 40, 40, 40], 'label': '30345.2.a', 'level': 30345, '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, 5, 7, 17], 'level_radical': 1785, 'mf_dim': 4968, 'mf_new_dim': 1084, 'num_forms': 118, 'plus_dim': 508, 'prim_orbit_index': 1, 'relative_dim': 1084, 'sturm_bound': 9792, 'trace_display': [4, 0, 0, 4], 'traces': [1084, 4, 0, 1084, 0, -4, 4, 12, 1084, -4, 0, 0, -8, 4, -4, 1084, 0, 4, -16, 0, 0, 16, 8, -12, 1084, 16, 0, 12, 8, -4, -16, -12, -8, 0, 0, 1084, 8, -8, -8, -12, 16, -4, -16, -48, 0, -32, -16, -32, 1084, 4, 0, -104, 32, -4, -8, 12, 8, 8, -16, -12, 8, -56, 4, 1036, 8, -24, 0, 0, -8, -4, 0, 12, 24, -40, 0, -16, 16, 40, -16, 32, 1084, 24, -16, 0, 0, 48, 16, 16, 32, -4, -8, -40, 8, 16, -8, 12, 40, 4, 0, 1084, 16, 0, -16, 32, 4, 72, -8, 0, -8, 24, -16, 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48, -16, -80, 0, 608, -64, 104, -128, 0, 16, 1084, 40, -112, -112, -32, 56, -16, -32, 16, -96, -128, 0, -176, -320, -32, 0, -12, 32, 24, 32, 192, 24, 16, -168, 24, -56, -4, 64, 1008, -152, -144, 64, 0, 128, -296, -8, -104, 136, 256, -320, -48, -8, 48, -72, -40, 40, -80, -80, -216, 0, 128, -96, -224, 8, -192, 80, 12, 1124, -344, -96, 64, -64, 16, 20, 1352, 0, 0, -160, -8, -24, 8, -8, 320, 16, 0, -128, 112, 40, 128, -200, 12, -40, -160, 0, -16, -416, -56, -80, 104, 40, -176, 0, 104, 216, -184, 72, -88, 384, 4, 112, 0, 32, 1016, 96, 104, 80, 24, 0, -208, 64, 168, 40, 140, -96, 216, -176, 1084, 0, 48, -16, 232, -32, 80, 32, -16, 16, -56, -128, 376, 48, -40, 40, 40, -80, 0, -224, -112, 64, 72, 160, -8, 8, 1160, -16, 72, 336, 104, -16, -320, -144, 16, 0, 32, 152, 208, -136, -96, 160, 136, 16, 240, 4, 272, 40, -16, -48, -8, -112, 0, 16, 72, -72, -592, 48, 144, -112, -108, 1036, -288, -8, 408, -32, 80, -112, 1188, 0, -120, -80, 0, 32, -160, -8, -200, 176, -32, -48, 0, -8, -240, -32, -8, -16, 0, -16, 0, -144, 24, -96, -152, -16, -176, -56, 176, -120, -656, -16, -12], 'weight': 2, 'weight_parity': 1}
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source_label 30345.2.a.ea does not appear in mf_twists_nf
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hecke_orbit_code 468374361280116361 does not appear in mf_hecke_charpolys
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label 30345.2.a.ea does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 181867842
{'hecke_orbit_code': 468374361280116361, 'n': 1, 'trace_an': 24}
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id: 181867843
{'hecke_orbit_code': 468374361280116361, 'n': 2, 'trace_an': 3}
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id: 181867844
{'hecke_orbit_code': 468374361280116361, 'n': 3, 'trace_an': 24}
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id: 181867845
{'hecke_orbit_code': 468374361280116361, 'n': 4, 'trace_an': 27}
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id: 181867846
{'hecke_orbit_code': 468374361280116361, 'n': 5, 'trace_an': -24}
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id: 181867847
{'hecke_orbit_code': 468374361280116361, 'n': 6, 'trace_an': 3}
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id: 181867848
{'hecke_orbit_code': 468374361280116361, 'n': 7, 'trace_an': -24}
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id: 181867849
{'hecke_orbit_code': 468374361280116361, 'n': 8, 'trace_an': 12}
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id: 181867850
{'hecke_orbit_code': 468374361280116361, 'n': 9, 'trace_an': 24}
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id: 181867851
{'hecke_orbit_code': 468374361280116361, 'n': 10, 'trace_an': -3}
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id: 181867852
{'hecke_orbit_code': 468374361280116361, 'n': 11, 'trace_an': -9}
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id: 181867853
{'hecke_orbit_code': 468374361280116361, 'n': 12, 'trace_an': 27}
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id: 181867854
{'hecke_orbit_code': 468374361280116361, 'n': 13, 'trace_an': 6}
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id: 181867855
{'hecke_orbit_code': 468374361280116361, 'n': 14, 'trace_an': -3}
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id: 181867856
{'hecke_orbit_code': 468374361280116361, 'n': 15, 'trace_an': -24}
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id: 181867857
{'hecke_orbit_code': 468374361280116361, 'n': 16, 'trace_an': 33}
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id: 181867858
{'hecke_orbit_code': 468374361280116361, 'n': 17, 'trace_an': 0}
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id: 181867859
{'hecke_orbit_code': 468374361280116361, 'n': 18, 'trace_an': 3}
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id: 181867860
{'hecke_orbit_code': 468374361280116361, 'n': 19, 'trace_an': 12}
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id: 181867861
{'hecke_orbit_code': 468374361280116361, 'n': 20, 'trace_an': -27}
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id: 181867862
{'hecke_orbit_code': 468374361280116361, 'n': 21, 'trace_an': -24}
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id: 181867863
{'hecke_orbit_code': 468374361280116361, 'n': 22, 'trace_an': -15}
-
id: 181867864
{'hecke_orbit_code': 468374361280116361, 'n': 23, 'trace_an': -6}
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id: 181867865
{'hecke_orbit_code': 468374361280116361, 'n': 24, 'trace_an': 12}
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id: 181867866
{'hecke_orbit_code': 468374361280116361, 'n': 25, 'trace_an': 24}
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id: 181867867
{'hecke_orbit_code': 468374361280116361, 'n': 26, 'trace_an': 6}
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id: 181867868
{'hecke_orbit_code': 468374361280116361, 'n': 27, 'trace_an': 24}
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id: 181867869
{'hecke_orbit_code': 468374361280116361, 'n': 28, 'trace_an': -27}
-
id: 181867870
{'hecke_orbit_code': 468374361280116361, 'n': 29, 'trace_an': 18}
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id: 181867871
{'hecke_orbit_code': 468374361280116361, 'n': 30, 'trace_an': -3}
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id: 181867872
{'hecke_orbit_code': 468374361280116361, 'n': 31, 'trace_an': 9}
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id: 181867873
{'hecke_orbit_code': 468374361280116361, 'n': 32, 'trace_an': 27}
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id: 181867874
{'hecke_orbit_code': 468374361280116361, 'n': 33, 'trace_an': -9}
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id: 181867875
{'hecke_orbit_code': 468374361280116361, 'n': 34, 'trace_an': 0}
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id: 181867876
{'hecke_orbit_code': 468374361280116361, 'n': 35, 'trace_an': 24}
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id: 181867877
{'hecke_orbit_code': 468374361280116361, 'n': 36, 'trace_an': 27}
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id: 181867878
{'hecke_orbit_code': 468374361280116361, 'n': 37, 'trace_an': 0}
-
id: 181867879
{'hecke_orbit_code': 468374361280116361, 'n': 38, 'trace_an': 24}
-
id: 181867880
{'hecke_orbit_code': 468374361280116361, 'n': 39, 'trace_an': 6}
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id: 181867881
{'hecke_orbit_code': 468374361280116361, 'n': 40, 'trace_an': -12}
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id: 181867882
{'hecke_orbit_code': 468374361280116361, 'n': 41, 'trace_an': 33}
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id: 181867883
{'hecke_orbit_code': 468374361280116361, 'n': 42, 'trace_an': -3}
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id: 181867884
{'hecke_orbit_code': 468374361280116361, 'n': 43, 'trace_an': 18}
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id: 181867885
{'hecke_orbit_code': 468374361280116361, 'n': 44, 'trace_an': -18}
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id: 181867886
{'hecke_orbit_code': 468374361280116361, 'n': 45, 'trace_an': -24}
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id: 181867887
{'hecke_orbit_code': 468374361280116361, 'n': 46, 'trace_an': -48}
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id: 181867888
{'hecke_orbit_code': 468374361280116361, 'n': 47, 'trace_an': 21}
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id: 181867889
{'hecke_orbit_code': 468374361280116361, 'n': 48, 'trace_an': 33}
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id: 181867890
{'hecke_orbit_code': 468374361280116361, 'n': 49, 'trace_an': 24}
-
id: 181867891
{'hecke_orbit_code': 468374361280116361, 'n': 50, 'trace_an': 3}
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id: 181867892
{'hecke_orbit_code': 468374361280116361, 'n': 51, 'trace_an': 0}
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id: 181867893
{'hecke_orbit_code': 468374361280116361, 'n': 52, 'trace_an': 45}
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id: 181867894
{'hecke_orbit_code': 468374361280116361, 'n': 53, 'trace_an': 12}
-
id: 181867895
{'hecke_orbit_code': 468374361280116361, 'n': 54, 'trace_an': 3}
-
id: 181867896
{'hecke_orbit_code': 468374361280116361, 'n': 55, 'trace_an': 9}
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id: 181867897
{'hecke_orbit_code': 468374361280116361, 'n': 56, 'trace_an': -12}
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id: 181867898
{'hecke_orbit_code': 468374361280116361, 'n': 57, 'trace_an': 12}
-
id: 181867899
{'hecke_orbit_code': 468374361280116361, 'n': 58, 'trace_an': -39}
-
id: 181867900
{'hecke_orbit_code': 468374361280116361, 'n': 59, 'trace_an': 18}
-
id: 181867901
{'hecke_orbit_code': 468374361280116361, 'n': 60, 'trace_an': -27}
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id: 181867902
{'hecke_orbit_code': 468374361280116361, 'n': 61, 'trace_an': -6}
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id: 181867903
{'hecke_orbit_code': 468374361280116361, 'n': 62, 'trace_an': 24}
-
id: 181867904
{'hecke_orbit_code': 468374361280116361, 'n': 63, 'trace_an': -24}
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id: 181867905
{'hecke_orbit_code': 468374361280116361, 'n': 64, 'trace_an': 30}
-
id: 181867906
{'hecke_orbit_code': 468374361280116361, 'n': 65, 'trace_an': -6}
-
id: 181867907
{'hecke_orbit_code': 468374361280116361, 'n': 66, 'trace_an': -15}
-
id: 181867908
{'hecke_orbit_code': 468374361280116361, 'n': 67, 'trace_an': 24}
-
id: 181867909
{'hecke_orbit_code': 468374361280116361, 'n': 68, 'trace_an': 0}
-
id: 181867910
{'hecke_orbit_code': 468374361280116361, 'n': 69, 'trace_an': -6}
-
id: 181867911
{'hecke_orbit_code': 468374361280116361, 'n': 70, 'trace_an': 3}
-
id: 181867912
{'hecke_orbit_code': 468374361280116361, 'n': 71, 'trace_an': 12}
-
id: 181867913
{'hecke_orbit_code': 468374361280116361, 'n': 72, 'trace_an': 12}
-
id: 181867914
{'hecke_orbit_code': 468374361280116361, 'n': 73, 'trace_an': -6}
-
id: 181867915
{'hecke_orbit_code': 468374361280116361, 'n': 74, 'trace_an': -12}
-
id: 181867916
{'hecke_orbit_code': 468374361280116361, 'n': 75, 'trace_an': 24}
-
id: 181867917
{'hecke_orbit_code': 468374361280116361, 'n': 76, 'trace_an': 24}
-
id: 181867918
{'hecke_orbit_code': 468374361280116361, 'n': 77, 'trace_an': 9}
-
id: 181867919
{'hecke_orbit_code': 468374361280116361, 'n': 78, 'trace_an': 6}
-
id: 181867920
{'hecke_orbit_code': 468374361280116361, 'n': 79, 'trace_an': 12}
-
id: 181867921
{'hecke_orbit_code': 468374361280116361, 'n': 80, 'trace_an': -33}
-
id: 181867922
{'hecke_orbit_code': 468374361280116361, 'n': 81, 'trace_an': 24}
-
id: 181867923
{'hecke_orbit_code': 468374361280116361, 'n': 82, 'trace_an': -42}
-
id: 181867924
{'hecke_orbit_code': 468374361280116361, 'n': 83, 'trace_an': 6}
-
id: 181867925
{'hecke_orbit_code': 468374361280116361, 'n': 84, 'trace_an': -27}
-
id: 181867926
{'hecke_orbit_code': 468374361280116361, 'n': 85, 'trace_an': 0}
-
id: 181867927
{'hecke_orbit_code': 468374361280116361, 'n': 86, 'trace_an': 30}
-
id: 181867928
{'hecke_orbit_code': 468374361280116361, 'n': 87, 'trace_an': 18}
-
id: 181867929
{'hecke_orbit_code': 468374361280116361, 'n': 88, 'trace_an': 39}
-
id: 181867930
{'hecke_orbit_code': 468374361280116361, 'n': 89, 'trace_an': 63}
-
id: 181867931
{'hecke_orbit_code': 468374361280116361, 'n': 90, 'trace_an': -3}
-
id: 181867932
{'hecke_orbit_code': 468374361280116361, 'n': 91, 'trace_an': -6}
-
id: 181867933
{'hecke_orbit_code': 468374361280116361, 'n': 92, 'trace_an': -18}
-
id: 181867934
{'hecke_orbit_code': 468374361280116361, 'n': 93, 'trace_an': 9}
-
id: 181867935
{'hecke_orbit_code': 468374361280116361, 'n': 94, 'trace_an': 12}
-
id: 181867936
{'hecke_orbit_code': 468374361280116361, 'n': 95, 'trace_an': -12}
-
id: 181867937
{'hecke_orbit_code': 468374361280116361, 'n': 96, 'trace_an': 27}
-
id: 181867938
{'hecke_orbit_code': 468374361280116361, 'n': 97, 'trace_an': -3}
-
id: 181867939
{'hecke_orbit_code': 468374361280116361, 'n': 98, 'trace_an': 3}
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id: 181867940
{'hecke_orbit_code': 468374361280116361, 'n': 99, 'trace_an': -9}
-
id: 181867941
{'hecke_orbit_code': 468374361280116361, 'n': 100, 'trace_an': 27}