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mf_newforms • Show schema
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{'Nk2': 1920, 'analytic_conductor': 7.080229200688874, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 24, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [120, 2, [31, 61, 41, 97], [1, 1, 1, 2]], 'cm_discs': [], 'conrey_index': 11, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[23, [1272523345197348070195200, 13668037958841889751040, -952030680457706382336, -8549727029493560768, 258981633390356160, 1850013130224672, -33369206298896, -173720020368, 2230771920, 7325588, -74952, -114, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68786585720, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 24, 6, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '120.4.b.a', 'level': 120, 'level_is_powerful': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1920, 'analytic_conductor': 7.080229200688874, 'char_conductor': 24, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [120, 2, [31, 61, 41, 97], [1, 1, 1, 2]], 'conrey_index': 11, 'cusp_dim': 68, 'dim': 48, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [23], 'hecke_orbit_code': 68786585720, 'hecke_orbit_dims': [24, 24], 'label': '120.4.b', 'level': 120, '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, 5], 'level_radical': 30, 'mf_dim': 76, 'mf_new_dim': 48, 'num_forms': 2, 'prim_orbit_index': 6, 'relative_dim': 48, 'sturm_bound': 96, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -6, 0, 30, 0, 0, 0, -30, 0, 32, 0, 0, 0, 306, 0, -116, 24, 0, 0, -204, 0, -434, 1200, 0, 264, -372, 0, 40, 0, 0, 232, 816, 0, 1314, 0, 0, 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5250], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 620661
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 24, 'source_embedding_index': 11, 'source_hecke_orbit_code': 68786585720, 'source_is_minimal': True, 'source_label': '120.4.b.a.11.11', 'source_level': 120, 'target_conrey_index': 11, 'target_dim': 24, 'target_embedding_index': 11, 'target_hecke_orbit_code': 68786585720, 'target_is_minimal': True, 'target_label': '120.4.b.a.11.11', 'target_level': 120, 'twist_class_label': '120.4.b.a.11.11', 'twist_class_level': 120, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 620662
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 24, 'source_embedding_index': 11, 'source_hecke_orbit_code': 68786585720, 'source_is_minimal': True, 'source_label': '120.4.b.a.11.11', 'source_level': 120, 'target_conrey_index': 11, 'target_dim': 24, 'target_embedding_index': 14, 'target_hecke_orbit_code': 4503668413956216, 'target_is_minimal': True, 'target_label': '120.4.b.b.11.14', 'target_level': 120, 'twist_class_label': '120.4.b.a.11.11', 'twist_class_level': 120, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 620663
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 24, 'source_embedding_index': 11, 'source_hecke_orbit_code': 68786585720, 'source_is_minimal': True, 'source_label': '120.4.b.a.11.11', 'source_level': 120, 'target_conrey_index': 431, 'target_dim': 24, 'target_embedding_index': 23, 'target_hecke_orbit_code': 4503668413956576, 'target_is_minimal': False, 'target_label': '480.4.b.b.431.23', 'target_level': 480, 'twist_class_label': '120.4.b.a.11.11', 'twist_class_level': 120, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 620664
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 24, 'source_embedding_index': 11, 'source_hecke_orbit_code': 68786585720, 'source_is_minimal': True, 'source_label': '120.4.b.a.11.11', 'source_level': 120, 'target_conrey_index': 11, 'target_dim': 24, 'target_embedding_index': 13, 'target_hecke_orbit_code': 4503668413956216, 'target_is_minimal': True, 'target_label': '120.4.b.b.11.13', 'target_level': 120, 'twist_class_label': '120.4.b.a.11.11', 'twist_class_level': 120, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 620665
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 24, 'source_embedding_index': 11, 'source_hecke_orbit_code': 68786585720, 'source_is_minimal': True, 'source_label': '120.4.b.a.11.11', 'source_level': 120, 'target_conrey_index': 431, 'target_dim': 24, 'target_embedding_index': 23, 'target_hecke_orbit_code': 68786586080, 'target_is_minimal': False, 'target_label': '480.4.b.a.431.23', 'target_level': 480, 'twist_class_label': '120.4.b.a.11.11', 'twist_class_level': 120, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 620666
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 24, 'source_embedding_index': 11, 'source_hecke_orbit_code': 68786585720, 'source_is_minimal': True, 'source_label': '120.4.b.a.11.11', 'source_level': 120, 'target_conrey_index': 431, 'target_dim': 24, 'target_embedding_index': 24, 'target_hecke_orbit_code': 68786586080, 'target_is_minimal': False, 'target_label': '480.4.b.a.431.24', 'target_level': 480, 'twist_class_label': '120.4.b.a.11.11', 'twist_class_level': 120, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 620667
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 24, 'source_embedding_index': 11, 'source_hecke_orbit_code': 68786585720, 'source_is_minimal': True, 'source_label': '120.4.b.a.11.11', 'source_level': 120, 'target_conrey_index': 431, 'target_dim': 24, 'target_embedding_index': 24, 'target_hecke_orbit_code': 4503668413956576, 'target_is_minimal': False, 'target_label': '480.4.b.b.431.24', 'target_level': 480, 'twist_class_label': '120.4.b.a.11.11', 'twist_class_level': 120, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 620668
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 24, 'source_embedding_index': 11, 'source_hecke_orbit_code': 68786585720, 'source_is_minimal': True, 'source_label': '120.4.b.a.11.11', 'source_level': 120, 'target_conrey_index': 11, 'target_dim': 24, 'target_embedding_index': 12, 'target_hecke_orbit_code': 68786585720, 'target_is_minimal': True, 'target_label': '120.4.b.a.11.12', 'target_level': 120, 'twist_class_label': '120.4.b.a.11.11', 'twist_class_level': 120, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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hecke_orbit_code 68786585720 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '120.4.b.a', 'level': 120, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 4807861
{'hecke_orbit_code': 68786585720, 'n': 1, 'trace_an': 24}
-
id: 4807862
{'hecke_orbit_code': 68786585720, 'n': 2, 'trace_an': -3}
-
id: 4807863
{'hecke_orbit_code': 68786585720, 'n': 3, 'trace_an': 0}
-
id: 4807864
{'hecke_orbit_code': 68786585720, 'n': 4, 'trace_an': -3}
-
id: 4807865
{'hecke_orbit_code': 68786585720, 'n': 5, 'trace_an': 120}
-
id: 4807866
{'hecke_orbit_code': 68786585720, 'n': 6, 'trace_an': 19}
-
id: 4807867
{'hecke_orbit_code': 68786585720, 'n': 7, 'trace_an': 0}
-
id: 4807868
{'hecke_orbit_code': 68786585720, 'n': 8, 'trace_an': 21}
-
id: 4807869
{'hecke_orbit_code': 68786585720, 'n': 9, 'trace_an': 0}
-
id: 4807870
{'hecke_orbit_code': 68786585720, 'n': 10, 'trace_an': -15}
-
id: 4807871
{'hecke_orbit_code': 68786585720, 'n': 11, 'trace_an': 0}
-
id: 4807872
{'hecke_orbit_code': 68786585720, 'n': 12, 'trace_an': 65}
-
id: 4807873
{'hecke_orbit_code': 68786585720, 'n': 13, 'trace_an': 0}
-
id: 4807874
{'hecke_orbit_code': 68786585720, 'n': 14, 'trace_an': -54}
-
id: 4807875
{'hecke_orbit_code': 68786585720, 'n': 15, 'trace_an': 0}
-
id: 4807876
{'hecke_orbit_code': 68786585720, 'n': 16, 'trace_an': 153}
-
id: 4807877
{'hecke_orbit_code': 68786585720, 'n': 17, 'trace_an': 0}
-
id: 4807878
{'hecke_orbit_code': 68786585720, 'n': 18, 'trace_an': -175}
-
id: 4807879
{'hecke_orbit_code': 68786585720, 'n': 19, 'trace_an': 12}
-
id: 4807880
{'hecke_orbit_code': 68786585720, 'n': 20, 'trace_an': -15}
-
id: 4807881
{'hecke_orbit_code': 68786585720, 'n': 21, 'trace_an': -4}
-
id: 4807882
{'hecke_orbit_code': 68786585720, 'n': 22, 'trace_an': -102}
-
id: 4807883
{'hecke_orbit_code': 68786585720, 'n': 23, 'trace_an': 228}
-
id: 4807884
{'hecke_orbit_code': 68786585720, 'n': 24, 'trace_an': -407}
-
id: 4807885
{'hecke_orbit_code': 68786585720, 'n': 25, 'trace_an': 600}
-
id: 4807886
{'hecke_orbit_code': 68786585720, 'n': 26, 'trace_an': 336}
-
id: 4807887
{'hecke_orbit_code': 68786585720, 'n': 27, 'trace_an': 132}
-
id: 4807888
{'hecke_orbit_code': 68786585720, 'n': 28, 'trace_an': -186}
-
id: 4807889
{'hecke_orbit_code': 68786585720, 'n': 29, 'trace_an': 0}
-
id: 4807890
{'hecke_orbit_code': 68786585720, 'n': 30, 'trace_an': 95}
-
id: 4807891
{'hecke_orbit_code': 68786585720, 'n': 31, 'trace_an': 0}
-
id: 4807892
{'hecke_orbit_code': 68786585720, 'n': 32, 'trace_an': 177}
-
id: 4807893
{'hecke_orbit_code': 68786585720, 'n': 33, 'trace_an': 116}
-
id: 4807894
{'hecke_orbit_code': 68786585720, 'n': 34, 'trace_an': 408}
-
id: 4807895
{'hecke_orbit_code': 68786585720, 'n': 35, 'trace_an': 0}
-
id: 4807896
{'hecke_orbit_code': 68786585720, 'n': 36, 'trace_an': 673}
-
id: 4807897
{'hecke_orbit_code': 68786585720, 'n': 37, 'trace_an': 0}
-
id: 4807898
{'hecke_orbit_code': 68786585720, 'n': 38, 'trace_an': 312}
-
id: 4807899
{'hecke_orbit_code': 68786585720, 'n': 39, 'trace_an': -656}
-
id: 4807900
{'hecke_orbit_code': 68786585720, 'n': 40, 'trace_an': 105}
-
id: 4807901
{'hecke_orbit_code': 68786585720, 'n': 41, 'trace_an': 0}
-
id: 4807902
{'hecke_orbit_code': 68786585720, 'n': 42, 'trace_an': -990}
-
id: 4807903
{'hecke_orbit_code': 68786585720, 'n': 43, 'trace_an': 0}
-
id: 4807904
{'hecke_orbit_code': 68786585720, 'n': 44, 'trace_an': -450}
-
id: 4807905
{'hecke_orbit_code': 68786585720, 'n': 45, 'trace_an': 0}
-
id: 4807906
{'hecke_orbit_code': 68786585720, 'n': 46, 'trace_an': -1104}
-
id: 4807907
{'hecke_orbit_code': 68786585720, 'n': 47, 'trace_an': -924}
-
id: 4807908
{'hecke_orbit_code': 68786585720, 'n': 48, 'trace_an': -535}
-
id: 4807909
{'hecke_orbit_code': 68786585720, 'n': 49, 'trace_an': -816}
-
id: 4807910
{'hecke_orbit_code': 68786585720, 'n': 50, 'trace_an': -75}
-
id: 4807911
{'hecke_orbit_code': 68786585720, 'n': 51, 'trace_an': -700}
-
id: 4807912
{'hecke_orbit_code': 68786585720, 'n': 52, 'trace_an': -1548}
-
id: 4807913
{'hecke_orbit_code': 68786585720, 'n': 53, 'trace_an': 528}
-
id: 4807914
{'hecke_orbit_code': 68786585720, 'n': 54, 'trace_an': 1331}
-
id: 4807915
{'hecke_orbit_code': 68786585720, 'n': 55, 'trace_an': 0}
-
id: 4807916
{'hecke_orbit_code': 68786585720, 'n': 56, 'trace_an': -390}
-
id: 4807917
{'hecke_orbit_code': 68786585720, 'n': 57, 'trace_an': -172}
-
id: 4807918
{'hecke_orbit_code': 68786585720, 'n': 58, 'trace_an': 1410}
-
id: 4807919
{'hecke_orbit_code': 68786585720, 'n': 59, 'trace_an': 0}
-
id: 4807920
{'hecke_orbit_code': 68786585720, 'n': 60, 'trace_an': 325}
-
id: 4807921
{'hecke_orbit_code': 68786585720, 'n': 61, 'trace_an': 0}
-
id: 4807922
{'hecke_orbit_code': 68786585720, 'n': 62, 'trace_an': -978}
-
id: 4807923
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