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mf_newforms • Show schema
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{'Nk2': 3600, 'analytic_conductor': 10.899210574411876, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 80, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': -1, 'char_values': [400, 4, [351, 101, 177], [2, 3, 2]], 'cm_discs': [], 'conrey_index': 99, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [62932746496, -188360732672, 281886359552, 9935494795264, 52302174255104, 125364893067264, 174788745428992, 131209384157184, 58529321429248, 15804221639680, 7967662694400, 5904093805568, 2844386056704, 552155362816, 116799340544, 85847601152, 50430401632, 7353071360, 605116416, 437997312, 389549696, 36846464, 1036288, 720384, 1371792, 63040, 512, 320, 2016, 32, 0, 0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525884636692880, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 80, 11, -1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '400.3.k.h', 'level': 400, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '80.3.r.a', 'prim_orbit_index': 11, 'related_objects': [], 'relative_dim': 16, 'rm_discs': [], 'sato_tate_group': '2.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '400.3.k', 'trace_display': [4, 0, 0, 0], 'traces': [32, 4, 0, -12, 0, 12, 0, -56, 0, 0, 32, -20, 0, 36, 0, 48, 0, -84, 32, 0, 0, -100, 0, 120, 0, -48, -96, 140, -32, 0, 0, -56, 0, -16, 0, -84, 96, 220, -384, 0, 0, 172, -96, -8, 0, 36, 0, 160, -224, 0, -256, -144, -160, -192, 0, 304, 0, 164, 352, 0, -32, -80, -640, -240, 0, -576, -160, 104, -96, 0, 256, -224, 0, -136, 0, 512, 224, 120, 0, 0, -288, -468, -480, 736, 0, -188, 0, 80, 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mf_hecke_cc • Show schema
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'embedding_m': 9, 'hecke_orbit': 8, 'hecke_orbit_code': 31525884636692880, 'label': '400.3.k.h.99.9', 'level': 400, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 3600, 'analytic_conductor': 10.899210574411876, 'char_conductor': 80, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': -1, 'char_values': [400, 4, [351, 101, 177], [2, 3, 2]], 'conrey_index': 99, 'cusp_dim': 228, 'dim': 140, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 687245099408, 'hecke_orbit_dims': [4, 4, 6, 6, 28, 28, 32, 32], 'label': '400.3.k', 'level': 400, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 252, 'mf_new_dim': 148, 'num_forms': 8, 'prim_orbit_index': 11, 'relative_dim': 70, 'sturm_bound': 180, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [140, 0, 0, 4, 0, -4, 0, 0, 0, 0, -4, 0, 0, 36, 0, 52, 0, 0, 68, 0, -40, 0, 0, -36, 0, 0, 0, 0, 4, 0, 0, 0, 0, 268, 0, -44, 0, 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0, -13072, 0, 0, 37120, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 46352115
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 31525884636692880, 'target_is_minimal': False, 'target_label': '400.3.k.h.99.9', 'target_level': 400, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 46352116
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 51, 'target_dim': 32, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1168281436240, 'target_is_minimal': True, 'target_label': '80.3.r.a.51.2', 'target_level': 80, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 46352117
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 51, 'target_dim': 32, 'target_embedding_index': 15, 'target_hecke_orbit_code': 22519166418289040, 'target_is_minimal': False, 'target_label': '400.3.r.f.51.15', 'target_level': 400, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 46352118
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 99, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27022285009322384, 'target_is_minimal': False, 'target_label': '400.3.k.g.99.8', 'target_level': 400, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 46352119
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 299, 'target_dim': 32, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27022285009322384, 'target_is_minimal': False, 'target_label': '400.3.k.g.299.8', 'target_level': 400, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 46352120
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 111, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168281436480, 'target_is_minimal': False, 'target_label': '320.3.r.a.111.1', 'target_level': 320, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 3}
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id: 46352121
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 351, 'target_dim': 32, 'target_embedding_index': 16, 'target_hecke_orbit_code': 4504767908807296, 'target_is_minimal': False, 'target_label': '640.3.r.b.351.16', 'target_level': 640, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 3}
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id: 46352122
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 351, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168281436800, 'target_is_minimal': False, 'target_label': '640.3.r.a.351.1', 'target_level': 640, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 3}
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id: 46352123
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 11, 'target_dim': 32, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1168281436240, 'target_is_minimal': True, 'target_label': '80.3.r.a.11.2', 'target_level': 80, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '80.27', 'twisting_conrey_index': 27, 'weight': 3}
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id: 46352124
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 271, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168281436480, 'target_is_minimal': False, 'target_label': '320.3.r.a.271.1', 'target_level': 320, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '80.37', 'twisting_conrey_index': 37, 'weight': 3}
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id: 46352125
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 251, 'target_dim': 32, 'target_embedding_index': 15, 'target_hecke_orbit_code': 22519166418289040, 'target_is_minimal': False, 'target_label': '400.3.r.f.251.15', 'target_level': 400, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '80.43', 'twisting_conrey_index': 43, 'weight': 3}
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id: 46352126
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 299, 'target_dim': 32, 'target_embedding_index': 9, 'target_hecke_orbit_code': 31525884636692880, 'target_is_minimal': False, 'target_label': '400.3.k.h.299.9', 'target_level': 400, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '80.59', 'twisting_conrey_index': 59, 'weight': 3}
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id: 46352127
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 31, 'target_dim': 32, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168281436800, 'target_is_minimal': False, 'target_label': '640.3.r.a.31.1', 'target_level': 640, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '80.67', 'twisting_conrey_index': 67, 'weight': 3}
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id: 46352128
{'conductor': 80, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 99, 'source_dim': 32, 'source_embedding_index': 9, 'source_hecke_orbit_code': 31525884636692880, 'source_is_minimal': False, 'source_label': '400.3.k.h.99.9', 'source_level': 400, 'target_conrey_index': 31, 'target_dim': 32, 'target_embedding_index': 16, 'target_hecke_orbit_code': 4504767908807296, 'target_is_minimal': False, 'target_label': '640.3.r.b.31.16', 'target_level': 640, 'twist_class_label': '80.3.r.a.11.2', 'twist_class_level': 80, 'twisting_char_label': '80.77', 'twisting_conrey_index': 77, 'weight': 3}
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hecke_orbit_code 31525884636692880 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 8, 'label': '400.3.k.h', 'level': 400, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 50124217
{'hecke_orbit_code': 31525884636692880, 'n': 1, 'trace_an': 32}
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id: 50124218
{'hecke_orbit_code': 31525884636692880, 'n': 2, 'trace_an': 4}
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id: 50124219
{'hecke_orbit_code': 31525884636692880, 'n': 3, 'trace_an': 0}
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id: 50124220
{'hecke_orbit_code': 31525884636692880, 'n': 4, 'trace_an': -12}
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id: 50124221
{'hecke_orbit_code': 31525884636692880, 'n': 5, 'trace_an': 0}
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id: 50124222
{'hecke_orbit_code': 31525884636692880, 'n': 6, 'trace_an': 12}
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id: 50124223
{'hecke_orbit_code': 31525884636692880, 'n': 7, 'trace_an': 0}
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id: 50124224
{'hecke_orbit_code': 31525884636692880, 'n': 8, 'trace_an': -56}
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id: 50124225
{'hecke_orbit_code': 31525884636692880, 'n': 9, 'trace_an': 0}
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id: 50124226
{'hecke_orbit_code': 31525884636692880, 'n': 10, 'trace_an': 0}
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id: 50124227
{'hecke_orbit_code': 31525884636692880, 'n': 11, 'trace_an': 32}
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id: 50124228
{'hecke_orbit_code': 31525884636692880, 'n': 12, 'trace_an': -20}
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id: 50124229
{'hecke_orbit_code': 31525884636692880, 'n': 13, 'trace_an': 0}
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id: 50124230
{'hecke_orbit_code': 31525884636692880, 'n': 14, 'trace_an': 36}
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id: 50124231
{'hecke_orbit_code': 31525884636692880, 'n': 15, 'trace_an': 0}
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id: 50124232
{'hecke_orbit_code': 31525884636692880, 'n': 16, 'trace_an': 48}
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id: 50124233
{'hecke_orbit_code': 31525884636692880, 'n': 17, 'trace_an': 0}
-
id: 50124234
{'hecke_orbit_code': 31525884636692880, 'n': 18, 'trace_an': -84}
-
id: 50124235
{'hecke_orbit_code': 31525884636692880, 'n': 19, 'trace_an': 32}
-
id: 50124236
{'hecke_orbit_code': 31525884636692880, 'n': 20, 'trace_an': 0}
-
id: 50124237
{'hecke_orbit_code': 31525884636692880, 'n': 21, 'trace_an': 0}
-
id: 50124238
{'hecke_orbit_code': 31525884636692880, 'n': 22, 'trace_an': -100}
-
id: 50124239
{'hecke_orbit_code': 31525884636692880, 'n': 23, 'trace_an': 0}
-
id: 50124240
{'hecke_orbit_code': 31525884636692880, 'n': 24, 'trace_an': 120}
-
id: 50124241
{'hecke_orbit_code': 31525884636692880, 'n': 25, 'trace_an': 0}
-
id: 50124242
{'hecke_orbit_code': 31525884636692880, 'n': 26, 'trace_an': -48}
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