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mf_newforms • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1470, 2, [491, 1177, 1081], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1469, 'dim': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [4384, 0, 330880, 0, 266528, 0, 44976, 0, 3066, 0, 92, 0, 1]], [13, [429632, 0, -900544, 0, 486448, 0, -71072, 0, 4204, 0, -108, 0, 1]], [23, [-1264, 1024, 1192, 96, -62, -4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525403583579582, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 105, 7, 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': '1470.2.d.h', 'level': 1470, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5880, 'analytic_conductor': 11.738009097128216, 'char_conductor': 105, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1470, 2, [491, 1177, 1081], [1, 1, 1]], 'conrey_index': 1469, 'cusp_dim': 304, 'dim': 80, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 23], 'hecke_orbit_code': 206191986110, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 24, 24], 'label': '1470.2.d', 'level': 1470, '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, 7], 'level_radical': 210, 'mf_dim': 368, 'mf_new_dim': 80, 'num_forms': 8, 'prim_orbit_index': 7, 'relative_dim': 80, 'sturm_bound': 672, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 80, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 80, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 56, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -92, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 4, 0, 0, 0, 0, 0, 24, 0, 0, -24, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 4, -184, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -184, 0, 0, 4, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, -96, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 232, 0, 0, 0, 0, 0, -96, 0, 0, -64, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, -8, -144, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -116, 0, 0, -76, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, -464, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, -212, 0, 0, 0, 0, 0, 8, 0, 0, 24, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, -124, -160, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, -284, 0, 0, 0, 0, 0, 224, 0, 0, 104, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 308, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, -96, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 244, 0, 0, 0, 0, 0, 136, 0, 0, 24, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, -24, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -88, 0, 0, 208, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, -84, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 8, 0, 0, 0, 0, 0, 72, 0, 0, -56, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, -20, 264, 0, 0, 0, 0, 0, 0, 0, 0, -276, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -336, 0, 0, -184, 0, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264, 0, 52, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 68, 0, 0, 0, 0, 0, 216, 0, 0, 24, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 188, -288, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -176, 0, 0, 160, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 144, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 72, 0, 0, 0, 0, 0, 40, 0, 0, 352, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -28, -8, 0, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 368, 0, 0, -52, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 40, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 488, 0, 0, 0, 0, 0, -608, 0, 0, -96, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 472, -64, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 104, 0, 0, 792, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 140, 0, 0, 0, -424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -464, -208, 0, 0, 0, 0, 0, 128, 0, 0, -416, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 4, 56, 0, 0, 0, 0, 0, 0, 0, 0, -212, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 132, 0, 0, -116, 0, 0, 0, 0, 0, 0, -392, 0, 0, 0, 0, -76, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46251733
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583579582, 'source_is_minimal': True, 'source_label': '1470.2.d.h.1469.15', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 15, 'target_hecke_orbit_code': 31525403583579582, 'target_is_minimal': True, 'target_label': '1470.2.d.h.1469.15', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.9', 'twist_class_level': 1470, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46251734
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583579582, 'source_is_minimal': True, 'source_label': '1470.2.d.h.1469.15', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 16, 'target_hecke_orbit_code': 27021803956209086, 'target_is_minimal': True, 'target_label': '1470.2.d.g.1469.16', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.9', 'twist_class_level': 1470, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46251735
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583579582, 'source_is_minimal': True, 'source_label': '1470.2.d.h.1469.15', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 10, 'target_hecke_orbit_code': 27021803956209086, 'target_is_minimal': True, 'target_label': '1470.2.d.g.1469.10', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.9', 'twist_class_level': 1470, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46251736
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583579582, 'source_is_minimal': True, 'source_label': '1470.2.d.h.1469.15', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 10, 'target_hecke_orbit_code': 31525403583579582, 'target_is_minimal': True, 'target_label': '1470.2.d.h.1469.10', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.9', 'twist_class_level': 1470, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46251737
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583579582, 'source_is_minimal': True, 'source_label': '1470.2.d.h.1469.15', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 9, 'target_hecke_orbit_code': 31525403583579582, 'target_is_minimal': True, 'target_label': '1470.2.d.h.1469.9', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.9', 'twist_class_level': 1470, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46251738
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583579582, 'source_is_minimal': True, 'source_label': '1470.2.d.h.1469.15', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 9, 'target_hecke_orbit_code': 27021803956209086, 'target_is_minimal': True, 'target_label': '1470.2.d.g.1469.9', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.9', 'twist_class_level': 1470, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46251739
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583579582, 'source_is_minimal': True, 'source_label': '1470.2.d.h.1469.15', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 15, 'target_hecke_orbit_code': 27021803956209086, 'target_is_minimal': True, 'target_label': '1470.2.d.g.1469.15', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.9', 'twist_class_level': 1470, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 46251740
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1469, 'source_dim': 24, 'source_embedding_index': 15, 'source_hecke_orbit_code': 31525403583579582, 'source_is_minimal': True, 'source_label': '1470.2.d.h.1469.15', 'source_level': 1470, 'target_conrey_index': 1469, 'target_dim': 24, 'target_embedding_index': 16, 'target_hecke_orbit_code': 31525403583579582, 'target_is_minimal': True, 'target_label': '1470.2.d.h.1469.16', 'target_level': 1470, 'twist_class_label': '1470.2.d.g.1469.9', 'twist_class_level': 1470, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 2}
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hecke_orbit_code 31525403583579582 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 8, 'label': '1470.2.d.h', 'level': 1470, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 49847899
{'hecke_orbit_code': 31525403583579582, 'n': 1, 'trace_an': 24}
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id: 49847900
{'hecke_orbit_code': 31525403583579582, 'n': 2, 'trace_an': 24}
-
id: 49847901
{'hecke_orbit_code': 31525403583579582, 'n': 3, 'trace_an': 0}
-
id: 49847902
{'hecke_orbit_code': 31525403583579582, 'n': 4, 'trace_an': 24}
-
id: 49847903
{'hecke_orbit_code': 31525403583579582, 'n': 5, 'trace_an': 0}
-
id: 49847904
{'hecke_orbit_code': 31525403583579582, 'n': 6, 'trace_an': 0}
-
id: 49847905
{'hecke_orbit_code': 31525403583579582, 'n': 7, 'trace_an': 0}
-
id: 49847906
{'hecke_orbit_code': 31525403583579582, 'n': 8, 'trace_an': 24}
-
id: 49847907
{'hecke_orbit_code': 31525403583579582, 'n': 9, 'trace_an': 8}
-
id: 49847908
{'hecke_orbit_code': 31525403583579582, 'n': 10, 'trace_an': 0}
-
id: 49847909
{'hecke_orbit_code': 31525403583579582, 'n': 11, 'trace_an': 0}
-
id: 49847910
{'hecke_orbit_code': 31525403583579582, 'n': 12, 'trace_an': 0}
-
id: 49847911
{'hecke_orbit_code': 31525403583579582, 'n': 13, 'trace_an': 0}
-
id: 49847912
{'hecke_orbit_code': 31525403583579582, 'n': 14, 'trace_an': 0}
-
id: 49847913
{'hecke_orbit_code': 31525403583579582, 'n': 15, 'trace_an': -16}
-
id: 49847914
{'hecke_orbit_code': 31525403583579582, 'n': 16, 'trace_an': 24}
-
id: 49847915
{'hecke_orbit_code': 31525403583579582, 'n': 17, 'trace_an': 0}
-
id: 49847916
{'hecke_orbit_code': 31525403583579582, 'n': 18, 'trace_an': 8}
-
id: 49847917
{'hecke_orbit_code': 31525403583579582, 'n': 19, 'trace_an': 0}
-
id: 49847918
{'hecke_orbit_code': 31525403583579582, 'n': 20, 'trace_an': 0}
-
id: 49847919
{'hecke_orbit_code': 31525403583579582, 'n': 21, 'trace_an': 0}
-
id: 49847920
{'hecke_orbit_code': 31525403583579582, 'n': 22, 'trace_an': 0}
-
id: 49847921
{'hecke_orbit_code': 31525403583579582, 'n': 23, 'trace_an': 16}
-
id: 49847922
{'hecke_orbit_code': 31525403583579582, 'n': 24, 'trace_an': 0}
-
id: 49847923
{'hecke_orbit_code': 31525403583579582, 'n': 25, 'trace_an': 8}
-
id: 49847924
{'hecke_orbit_code': 31525403583579582, 'n': 26, 'trace_an': 0}
-
id: 49847925
{'hecke_orbit_code': 31525403583579582, 'n': 27, 'trace_an': 0}
-
id: 49847926
{'hecke_orbit_code': 31525403583579582, 'n': 28, 'trace_an': 0}
-
id: 49847927
{'hecke_orbit_code': 31525403583579582, 'n': 29, 'trace_an': 0}
-
id: 49847928
{'hecke_orbit_code': 31525403583579582, 'n': 30, 'trace_an': -16}
-
id: 49847929
{'hecke_orbit_code': 31525403583579582, 'n': 31, 'trace_an': 0}
-
id: 49847930
{'hecke_orbit_code': 31525403583579582, 'n': 32, 'trace_an': 24}
-
id: 49847931
{'hecke_orbit_code': 31525403583579582, 'n': 33, 'trace_an': 0}
-
id: 49847932
{'hecke_orbit_code': 31525403583579582, 'n': 34, 'trace_an': 0}
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id: 49847933
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