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mf_newforms • Show schema
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{'Nk2': 3724, 'analytic_conductor': 7.434072428181204, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 133, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 9, 'char_parity': 1, 'char_values': [931, 9, [248, 344], [3, 7]], 'cm_discs': [], 'conrey_index': 177, 'dim': 30, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [11449, -27285, 163494, -185123, 108276, -166137, 52034, -509553, 1472010, 623429, -203754, -317010, 126276, 30198, 72162, 21639, -23967, -4416, 10661, -1539, 3342, 364, -474, 9, 109, 30, 27, -7, -6, 0, 1]], [3, [26569, 76773, 1055001, 5511227, 8569197, -5926497, -22616922, 2902041, 34841640, -6542203, -28510524, 16324833, 7792414, -13573668, 12591744, -8246126, 3491832, -1170213, 398809, -71886, 59394, -18515, 9360, -702, 504, 150, 51, -15, 15, -3, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015841652048803, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 133, 21, 1, 9, 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': '931.2.v.e', 'level': 931, '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': [7, 19], 'level_radical': 133, 'minimal_twist': '133.2.v.b', 'prim_orbit_index': 21, 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '931.2.v', 'trace_display': [0, 3, -3, 0], 'traces': [30, 0, 3, 12, -3, 9, 0, 9, -21, -36, 0, -18, 0, 0, -30, 0, 15, 15, -6, 30, 0, 12, 12, 63, 21, 45, -27, 0, 0, -42, 24, 60, -9, 42, 0, -21, 18, 60, 12, -87, -3, 0, -12, -72, 54, 6, 36, -18, 0, -3, 0, 15, -15, 21, -33, 0, -12, 30, -42, 12, 75, -96, 0, 3, -90, -18, 30, 102, -15, 0, 30, 99, 12, -57, -72, -84, 0, 6, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3724, 'analytic_conductor': 7.434072428181204, 'char_conductor': 133, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 22, 'char_orbit_label': 'v', 'char_order': 9, 'char_parity': 1, 'char_values': [931, 9, [248, 344], [3, 7]], 'conrey_index': 177, 'cusp_dim': 510, 'dim': 378, 'eis_dim': 96, 'eis_new_dim': 48, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 1443142566819, 'hecke_orbit_dims': [6, 6, 30, 30, 30, 30, 60, 66, 120], 'label': '931.2.v', 'level': 931, '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': [7, 19], 'level_radical': 133, 'mf_dim': 606, 'mf_new_dim': 426, 'num_forms': 9, 'prim_orbit_index': 21, 'relative_dim': 63, 'sturm_bound': 186, 'trace_bound': 5, 'trace_display': [3, 3, 3, 0], 'traces': [378, 3, 3, 3, 3, 12, 0, -12, 3, 12, 0, -27, 12, 0, -39, 9, -9, 30, 30, 0, 0, -36, 39, -27, 39, -9, -30, 0, -48, 6, 78, 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mf_twists_cc • Show schema
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id: 44627641
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 275, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015841652048803, 'target_is_minimal': False, 'target_label': '931.2.v.e.275.2', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44627642
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 883, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4505111489414051, 'target_is_minimal': False, 'target_label': '931.2.w.b.883.4', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44627643
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 655, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015979091002275, 'target_is_minimal': False, 'target_label': '931.2.x.e.655.4', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 44627644
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 655, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512379463631779, 'target_is_minimal': False, 'target_label': '931.2.x.d.655.4', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44627645
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 85, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4505042769936517, 'target_is_minimal': True, 'target_label': '133.2.v.b.85.4', 'target_level': 133, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 44627646
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 275, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512242024678307, 'target_is_minimal': False, 'target_label': '931.2.v.d.275.2', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 44627647
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 226, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13512379463631779, 'target_is_minimal': False, 'target_label': '931.2.x.d.226.4', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '19.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 44627648
{'conductor': 133, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 606, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512242024678307, 'target_is_minimal': False, 'target_label': '931.2.v.d.606.2', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '133.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 44627649
{'conductor': 133, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 226, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015979091002275, 'target_is_minimal': False, 'target_label': '931.2.x.e.226.4', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '133.55', 'twisting_conrey_index': 55, 'weight': 2}
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id: 44627650
{'conductor': 133, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 606, 'target_dim': 30, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015841652048803, 'target_is_minimal': False, 'target_label': '931.2.v.e.606.2', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '133.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 44627651
{'conductor': 133, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 11, 'target_hecke_orbit_code': 76561193698855391, 'target_is_minimal': False, 'target_label': '2527.2.a.r.1.11', 'target_level': 2527, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '133.82', 'twisting_conrey_index': 82, 'weight': 2}
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id: 44627652
{'conductor': 133, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 5, 'target_hecke_orbit_code': 81064793326225887, 'target_is_minimal': False, 'target_label': '2527.2.a.s.1.5', 'target_level': 2527, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '133.89', 'twisting_conrey_index': 89, 'weight': 2}
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id: 44627653
{'conductor': 133, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 834, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4505111489414051, 'target_is_minimal': False, 'target_label': '931.2.w.b.834.4', 'target_level': 931, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '133.93', 'twisting_conrey_index': 93, 'weight': 2}
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id: 44627654
{'conductor': 133, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 275, 'source_dim': 30, 'source_embedding_index': 2, 'source_hecke_orbit_code': 18015841652048803, 'source_is_minimal': False, 'source_label': '931.2.v.e.275.2', 'source_level': 931, 'target_conrey_index': 36, 'target_dim': 30, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4505042769936517, 'target_is_minimal': True, 'target_label': '133.2.v.b.36.4', 'target_level': 133, 'twist_class_label': '133.2.v.b.36.4', 'twist_class_level': 133, 'twisting_char_label': '133.131', 'twisting_conrey_index': 131, 'weight': 2}
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hecke_orbit_code 18015841652048803 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 22, 'hecke_orbit': 5, 'label': '931.2.v.e', 'level': 931, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 41595253
{'hecke_orbit_code': 18015841652048803, 'n': 1, 'trace_an': 30}
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id: 41595254
{'hecke_orbit_code': 18015841652048803, 'n': 2, 'trace_an': 0}
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id: 41595255
{'hecke_orbit_code': 18015841652048803, 'n': 3, 'trace_an': 3}
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id: 41595256
{'hecke_orbit_code': 18015841652048803, 'n': 4, 'trace_an': 12}
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id: 41595257
{'hecke_orbit_code': 18015841652048803, 'n': 5, 'trace_an': -3}
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id: 41595258
{'hecke_orbit_code': 18015841652048803, 'n': 6, 'trace_an': 9}
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id: 41595259
{'hecke_orbit_code': 18015841652048803, 'n': 7, 'trace_an': 0}
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id: 41595260
{'hecke_orbit_code': 18015841652048803, 'n': 8, 'trace_an': 9}
-
id: 41595261
{'hecke_orbit_code': 18015841652048803, 'n': 9, 'trace_an': -21}
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id: 41595262
{'hecke_orbit_code': 18015841652048803, 'n': 10, 'trace_an': -36}
-
id: 41595263
{'hecke_orbit_code': 18015841652048803, 'n': 11, 'trace_an': 0}
-
id: 41595264
{'hecke_orbit_code': 18015841652048803, 'n': 12, 'trace_an': -18}
-
id: 41595265
{'hecke_orbit_code': 18015841652048803, 'n': 13, 'trace_an': 0}
-
id: 41595266
{'hecke_orbit_code': 18015841652048803, 'n': 14, 'trace_an': 0}
-
id: 41595267
{'hecke_orbit_code': 18015841652048803, 'n': 15, 'trace_an': -30}
-
id: 41595268
{'hecke_orbit_code': 18015841652048803, 'n': 16, 'trace_an': 0}
-
id: 41595269
{'hecke_orbit_code': 18015841652048803, 'n': 17, 'trace_an': 15}
-
id: 41595270
{'hecke_orbit_code': 18015841652048803, 'n': 18, 'trace_an': 15}
-
id: 41595271
{'hecke_orbit_code': 18015841652048803, 'n': 19, 'trace_an': -6}
-
id: 41595272
{'hecke_orbit_code': 18015841652048803, 'n': 20, 'trace_an': 30}
-
id: 41595273
{'hecke_orbit_code': 18015841652048803, 'n': 21, 'trace_an': 0}
-
id: 41595274
{'hecke_orbit_code': 18015841652048803, 'n': 22, 'trace_an': 12}
-
id: 41595275
{'hecke_orbit_code': 18015841652048803, 'n': 23, 'trace_an': 12}
-
id: 41595276
{'hecke_orbit_code': 18015841652048803, 'n': 24, 'trace_an': 63}
-
id: 41595277
{'hecke_orbit_code': 18015841652048803, 'n': 25, 'trace_an': 21}
-
id: 41595278
{'hecke_orbit_code': 18015841652048803, 'n': 26, 'trace_an': 45}
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