-
mf_newforms • Show schema
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{'Nk2': 77100, 'analytic_conductor': 153.91164989601793, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [257, -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': [19275, 1, [12851, 4627, 3601], [24, 24, 24]], 'cm_discs': [], 'conrey_index': 1, 'dim': 43, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463095115, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '19275.2.a.x', 'level': 19275, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 257], 'level_radical': 3855, 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 43, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '19275.2.a', 'trace_display': [4, 43, 0, 10], 'traces': [43, 4, 43, 42, 0, 4, 10, 12, 43, 0, 17, 42, 28, 12, 0, 40, 30, 4, -3, 0, 10, 10, 10, 12, 0, 21, 43, 30, 21, 0, 1, 33, 17, 2, 0, 42, 41, 27, 28, 0, 16, 12, 19, 41, 0, -6, 20, 40, 45, 0, 30, 58, 42, 4, 0, 29, -3, 23, 31, 0, 1, 25, 10, 30, 0, 10, 6, 93, 10, 0, 41, 12, 56, 44, 0, -14, 51, 21, -9, 0, 43, 9, 31, 30, 0, 28, 21, 81, 30, 0, -5, -9, 1, -28, 0, 33, 48, 58, 17, 0], 'weight': 2, 'weight_parity': 1}
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label 19275.2.a.x does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [94, 100, 112, 100, 98, 92, 101, 113], 'Nk2': 77100, 'analytic_conductor': 153.91164989601793, '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': [19275, 1, [12851, 4627, 3601], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2569, 'dim': 810, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_orbit_code': 33573707, 'label': '19275.2.a', 'level': 19275, '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, 257], 'level_radical': 3855, 'mf_dim': 2592, 'mf_new_dim': 810, 'plus_dim': 387, 'prim_orbit_index': 1, 'relative_dim': 810, 'sturm_bound': 5160, 'trace_display': [-4, -2, 0, 0], 'traces': [810, -4, -2, 804, 0, 2, 0, -12, 810, 0, 0, 2, -8, 20, 0, 816, 0, -4, 8, 0, -16, -8, 12, -6, 0, 4, -2, -28, 0, 0, -4, -68, 12, -24, 0, 804, -40, -20, -8, 0, 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12, 0, -244, -128, -76, -160, 0, 706, 388, -32, -348, 0, 204, 164, -252, -92, 0, 104, 2, -372, -232, 0, 76, -232, 124, -340, 0, -20, 408, 140, -52, 0, -68, -36, -48, -408, 0, -528, -228, -92, 228, 0, 164, -164, 32, -44, 0], 'weight': 2, 'weight_parity': 1}
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source_label 19275.2.a.x does not appear in mf_twists_nf
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hecke_orbit_code 103582791463095115 does not appear in mf_hecke_charpolys
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label 19275.2.a.x does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
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id: 159990842
{'hecke_orbit_code': 103582791463095115, 'n': 1, 'trace_an': 43}
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id: 159990843
{'hecke_orbit_code': 103582791463095115, 'n': 2, 'trace_an': 4}
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id: 159990844
{'hecke_orbit_code': 103582791463095115, 'n': 3, 'trace_an': 43}
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id: 159990845
{'hecke_orbit_code': 103582791463095115, 'n': 4, 'trace_an': 42}
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id: 159990846
{'hecke_orbit_code': 103582791463095115, 'n': 5, 'trace_an': 0}
-
id: 159990847
{'hecke_orbit_code': 103582791463095115, 'n': 6, 'trace_an': 4}
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id: 159990848
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id: 159990849
{'hecke_orbit_code': 103582791463095115, 'n': 8, 'trace_an': 12}
-
id: 159990850
{'hecke_orbit_code': 103582791463095115, 'n': 9, 'trace_an': 43}
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id: 159990851
{'hecke_orbit_code': 103582791463095115, 'n': 10, 'trace_an': 0}
-
id: 159990852
{'hecke_orbit_code': 103582791463095115, 'n': 11, 'trace_an': 17}
-
id: 159990853
{'hecke_orbit_code': 103582791463095115, 'n': 12, 'trace_an': 42}
-
id: 159990854
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id: 159990855
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-
id: 159990856
{'hecke_orbit_code': 103582791463095115, 'n': 15, 'trace_an': 0}
-
id: 159990857
{'hecke_orbit_code': 103582791463095115, 'n': 16, 'trace_an': 40}
-
id: 159990858
{'hecke_orbit_code': 103582791463095115, 'n': 17, 'trace_an': 30}
-
id: 159990859
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-
id: 159990860
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-
id: 159990861
{'hecke_orbit_code': 103582791463095115, 'n': 20, 'trace_an': 0}
-
id: 159990862
{'hecke_orbit_code': 103582791463095115, 'n': 21, 'trace_an': 10}
-
id: 159990863
{'hecke_orbit_code': 103582791463095115, 'n': 22, 'trace_an': 10}
-
id: 159990864
{'hecke_orbit_code': 103582791463095115, 'n': 23, 'trace_an': 10}
-
id: 159990865
{'hecke_orbit_code': 103582791463095115, 'n': 24, 'trace_an': 12}
-
id: 159990866
{'hecke_orbit_code': 103582791463095115, 'n': 25, 'trace_an': 0}
-
id: 159990867
{'hecke_orbit_code': 103582791463095115, 'n': 26, 'trace_an': 21}
-
id: 159990868
{'hecke_orbit_code': 103582791463095115, 'n': 27, 'trace_an': 43}
-
id: 159990869
{'hecke_orbit_code': 103582791463095115, 'n': 28, 'trace_an': 30}
-
id: 159990870
{'hecke_orbit_code': 103582791463095115, 'n': 29, 'trace_an': 21}
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id: 159990871
{'hecke_orbit_code': 103582791463095115, 'n': 30, 'trace_an': 0}
-
id: 159990872
{'hecke_orbit_code': 103582791463095115, 'n': 31, 'trace_an': 1}
-
id: 159990873
{'hecke_orbit_code': 103582791463095115, 'n': 32, 'trace_an': 33}
-
id: 159990874
{'hecke_orbit_code': 103582791463095115, 'n': 33, 'trace_an': 17}
-
id: 159990875
{'hecke_orbit_code': 103582791463095115, 'n': 34, 'trace_an': 2}
-
id: 159990876
{'hecke_orbit_code': 103582791463095115, 'n': 35, 'trace_an': 0}
-
id: 159990877
{'hecke_orbit_code': 103582791463095115, 'n': 36, 'trace_an': 42}
-
id: 159990878
{'hecke_orbit_code': 103582791463095115, 'n': 37, 'trace_an': 41}
-
id: 159990879
{'hecke_orbit_code': 103582791463095115, 'n': 38, 'trace_an': 27}
-
id: 159990880
{'hecke_orbit_code': 103582791463095115, 'n': 39, 'trace_an': 28}
-
id: 159990881
{'hecke_orbit_code': 103582791463095115, 'n': 40, 'trace_an': 0}
-
id: 159990882
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-
id: 159990883
{'hecke_orbit_code': 103582791463095115, 'n': 42, 'trace_an': 12}
-
id: 159990884
{'hecke_orbit_code': 103582791463095115, 'n': 43, 'trace_an': 19}
-
id: 159990885
{'hecke_orbit_code': 103582791463095115, 'n': 44, 'trace_an': 41}
-
id: 159990886
{'hecke_orbit_code': 103582791463095115, 'n': 45, 'trace_an': 0}
-
id: 159990887
{'hecke_orbit_code': 103582791463095115, 'n': 46, 'trace_an': -6}
-
id: 159990888
{'hecke_orbit_code': 103582791463095115, 'n': 47, 'trace_an': 20}
-
id: 159990889
{'hecke_orbit_code': 103582791463095115, 'n': 48, 'trace_an': 40}
-
id: 159990890
{'hecke_orbit_code': 103582791463095115, 'n': 49, 'trace_an': 45}
-
id: 159990891
{'hecke_orbit_code': 103582791463095115, 'n': 50, 'trace_an': 0}
-
id: 159990892
{'hecke_orbit_code': 103582791463095115, 'n': 51, 'trace_an': 30}
-
id: 159990893
{'hecke_orbit_code': 103582791463095115, 'n': 52, 'trace_an': 58}
-
id: 159990894
{'hecke_orbit_code': 103582791463095115, 'n': 53, 'trace_an': 42}
-
id: 159990895
{'hecke_orbit_code': 103582791463095115, 'n': 54, 'trace_an': 4}
-
id: 159990896
{'hecke_orbit_code': 103582791463095115, 'n': 55, 'trace_an': 0}
-
id: 159990897
{'hecke_orbit_code': 103582791463095115, 'n': 56, 'trace_an': 29}
-
id: 159990898
{'hecke_orbit_code': 103582791463095115, 'n': 57, 'trace_an': -3}
-
id: 159990899
{'hecke_orbit_code': 103582791463095115, 'n': 58, 'trace_an': 23}
-
id: 159990900
{'hecke_orbit_code': 103582791463095115, 'n': 59, 'trace_an': 31}
-
id: 159990901
{'hecke_orbit_code': 103582791463095115, 'n': 60, 'trace_an': 0}
-
id: 159990902
{'hecke_orbit_code': 103582791463095115, 'n': 61, 'trace_an': 1}
-
id: 159990903
{'hecke_orbit_code': 103582791463095115, 'n': 62, 'trace_an': 25}
-
id: 159990904
{'hecke_orbit_code': 103582791463095115, 'n': 63, 'trace_an': 10}
-
id: 159990905
{'hecke_orbit_code': 103582791463095115, 'n': 64, 'trace_an': 30}
-
id: 159990906
{'hecke_orbit_code': 103582791463095115, 'n': 65, 'trace_an': 0}
-
id: 159990907
{'hecke_orbit_code': 103582791463095115, 'n': 66, 'trace_an': 10}
-
id: 159990908
{'hecke_orbit_code': 103582791463095115, 'n': 67, 'trace_an': 6}
-
id: 159990909
{'hecke_orbit_code': 103582791463095115, 'n': 68, 'trace_an': 93}
-
id: 159990910
{'hecke_orbit_code': 103582791463095115, 'n': 69, 'trace_an': 10}
-
id: 159990911
{'hecke_orbit_code': 103582791463095115, 'n': 70, 'trace_an': 0}
-
id: 159990912
{'hecke_orbit_code': 103582791463095115, 'n': 71, 'trace_an': 41}
-
id: 159990913
{'hecke_orbit_code': 103582791463095115, 'n': 72, 'trace_an': 12}
-
id: 159990914
{'hecke_orbit_code': 103582791463095115, 'n': 73, 'trace_an': 56}
-
id: 159990915
{'hecke_orbit_code': 103582791463095115, 'n': 74, 'trace_an': 44}
-
id: 159990916
{'hecke_orbit_code': 103582791463095115, 'n': 75, 'trace_an': 0}
-
id: 159990917
{'hecke_orbit_code': 103582791463095115, 'n': 76, 'trace_an': -14}
-
id: 159990918
{'hecke_orbit_code': 103582791463095115, 'n': 77, 'trace_an': 51}
-
id: 159990919
{'hecke_orbit_code': 103582791463095115, 'n': 78, 'trace_an': 21}
-
id: 159990920
{'hecke_orbit_code': 103582791463095115, 'n': 79, 'trace_an': -9}
-
id: 159990921
{'hecke_orbit_code': 103582791463095115, 'n': 80, 'trace_an': 0}
-
id: 159990922
{'hecke_orbit_code': 103582791463095115, 'n': 81, 'trace_an': 43}
-
id: 159990923
{'hecke_orbit_code': 103582791463095115, 'n': 82, 'trace_an': 9}
-
id: 159990924
{'hecke_orbit_code': 103582791463095115, 'n': 83, 'trace_an': 31}
-
id: 159990925
{'hecke_orbit_code': 103582791463095115, 'n': 84, 'trace_an': 30}
-
id: 159990926
{'hecke_orbit_code': 103582791463095115, 'n': 85, 'trace_an': 0}
-
id: 159990927
{'hecke_orbit_code': 103582791463095115, 'n': 86, 'trace_an': 28}
-
id: 159990928
{'hecke_orbit_code': 103582791463095115, 'n': 87, 'trace_an': 21}
-
id: 159990929
{'hecke_orbit_code': 103582791463095115, 'n': 88, 'trace_an': 81}
-
id: 159990930
{'hecke_orbit_code': 103582791463095115, 'n': 89, 'trace_an': 30}
-
id: 159990931
{'hecke_orbit_code': 103582791463095115, 'n': 90, 'trace_an': 0}
-
id: 159990932
{'hecke_orbit_code': 103582791463095115, 'n': 91, 'trace_an': -5}
-
id: 159990933
{'hecke_orbit_code': 103582791463095115, 'n': 92, 'trace_an': -9}
-
id: 159990934
{'hecke_orbit_code': 103582791463095115, 'n': 93, 'trace_an': 1}
-
id: 159990935
{'hecke_orbit_code': 103582791463095115, 'n': 94, 'trace_an': -28}
-
id: 159990936
{'hecke_orbit_code': 103582791463095115, 'n': 95, 'trace_an': 0}
-
id: 159990937
{'hecke_orbit_code': 103582791463095115, 'n': 96, 'trace_an': 33}
-
id: 159990938
{'hecke_orbit_code': 103582791463095115, 'n': 97, 'trace_an': 48}
-
id: 159990939
{'hecke_orbit_code': 103582791463095115, 'n': 98, 'trace_an': 58}
-
id: 159990940
{'hecke_orbit_code': 103582791463095115, 'n': 99, 'trace_an': 17}
-
id: 159990941
{'hecke_orbit_code': 103582791463095115, 'n': 100, 'trace_an': 0}