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mf_newforms • Show schema
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{'Nk2': 1936, 'analytic_conductor': 7.139231110694614, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [121, 5, [2], [4]], 'cm_discs': [], 'conrey_index': 3, 'dim': 8, 'field_disc': 324000000, 'field_disc_factorization': [[2, 8], [3, 4], [5, 6]], 'field_poly': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [16, -16, 24, -32, 44, 16, 6, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336760803449, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '121.4.c.c', 'level': 121, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'minimal_twist': '11.4.a.a', 'nf_label': '8.0.324000000.3', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{2}+\\beta _{7})q^{2}+(-4\\beta _{1}-\\beta _{6})q^{3}+(-2\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '121.4.c', 'trace_display': [-2, 2, -2, -20], 'trace_hash': 283373870560006793, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.556', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.265', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 1936, 'analytic_conductor': 7.139231110694614, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [121, 5, [2], [4]], 'conrey_index': 3, 'cusp_dim': 108, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 32, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137506062457, 'hecke_orbit_dims': [4, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '121.4.c', 'level': 121, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [11], 'level_radical': 11, 'mf_dim': 156, 'mf_new_dim': 124, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 23, 'sturm_bound': 44, 'trace_bound': 3, 'trace_display': [7, 5, 3, 35], 'traces': [92, 7, 5, -83, 3, 29, 35, -47, -182, -40, 0, -358, 65, 248, 83, 245, 31, 102, -148, -426, -334, 0, 52, 447, 148, 148, -166, 42, 199, 114, 369, -324, 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mf_twists_cc • Show schema
Hide schema
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id: 40684138
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336760803449, 'target_is_minimal': False, 'target_label': '121.4.c.c.9.2', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 40684139
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 3, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135642914937, 'target_is_minimal': False, 'target_label': '121.4.c.f.3.2', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 40684140
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336760803449, 'target_is_minimal': False, 'target_label': '121.4.c.c.81.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 40684141
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67108875, 'target_is_minimal': True, 'target_label': '11.4.a.a.1.2', 'target_level': 11, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40684142
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 27, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336760803449, 'target_is_minimal': False, 'target_label': '121.4.c.c.27.2', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 40684143
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 27, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135642914937, 'target_is_minimal': False, 'target_label': '121.4.c.f.27.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 40684144
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849977, 'target_is_minimal': False, 'target_label': '121.4.a.c.1.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 40684145
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518135642914937, 'target_is_minimal': False, 'target_label': '121.4.c.f.81.2', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 40684146
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 3, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336760803449, 'target_is_minimal': False, 'target_label': '121.4.c.c.3.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 4}
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id: 40684147
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135642914937, 'target_is_minimal': False, 'target_label': '121.4.c.f.9.1', 'target_level': 121, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 4}
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id: 40684148
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321849955, 'target_is_minimal': False, 'target_label': '99.4.a.c.1.1', 'target_level': 99, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '33.26', 'twisting_conrey_index': 26, 'weight': 4}
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id: 40684149
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592241890369, 'target_is_minimal': False, 'target_label': '1089.4.a.v.1.2', 'target_level': 1089, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '33.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 40684150
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191869261712, 'target_is_minimal': False, 'target_label': '1936.4.a.w.1.2', 'target_level': 1936, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '44.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 40684151
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797086073008, 'target_is_minimal': False, 'target_label': '176.4.a.i.1.2', 'target_level': 176, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '44.15', 'twisting_conrey_index': 15, 'weight': 4}
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id: 40684152
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694479635, 'target_is_minimal': False, 'target_label': '275.4.a.b.1.1', 'target_level': 275, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '55.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 40684153
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007268041326867, 'target_is_minimal': False, 'target_label': '275.4.b.c.199.4', 'target_level': 275, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '55.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 40684154
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007268041326867, 'target_is_minimal': False, 'target_label': '275.4.b.c.199.1', 'target_level': 275, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '55.48', 'twisting_conrey_index': 48, 'weight': 4}
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id: 40684155
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398576591387, 'target_is_minimal': False, 'target_label': '539.4.a.e.1.2', 'target_level': 539, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '77.48', 'twisting_conrey_index': 48, 'weight': 4}
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id: 40684156
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994477667008, 'target_is_minimal': False, 'target_label': '704.4.a.p.1.2', 'target_level': 704, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '88.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 40684157
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795222926016, 'target_is_minimal': False, 'target_label': '704.4.a.n.1.1', 'target_level': 704, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '88.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 40684158
{'conductor': 132, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789633484336, 'target_is_minimal': False, 'target_label': '1584.4.a.bc.1.1', 'target_level': 1584, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '132.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 40684159
{'conductor': 143, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67110723, 'target_is_minimal': False, 'target_label': '1859.4.a.a.1.1', 'target_level': 1859, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '143.103', 'twisting_conrey_index': 103, 'weight': 4}
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id: 40684160
{'conductor': 165, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9007336760803449, 'source_is_minimal': False, 'source_label': '121.4.c.c.9.2', 'source_level': 121, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594105039275, 'target_is_minimal': False, 'target_label': '2475.4.a.q.1.2', 'target_level': 2475, 'twist_class_label': '11.4.a.a.1.2', 'twist_class_level': 11, 'twisting_char_label': '165.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 342775
{'charpoly_factorization': [[[16, -16, 24, -32, 44, 16, 6, 2, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 2}
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id: 342776
{'charpoly_factorization': [[[4879681, 207646, 112659, 9212, 2789, -196, 51, -2, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 3}
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id: 342777
{'charpoly_factorization': [[[1330863361, -13935742, 7113795, -147452, 38789, 772, 195, 2, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 5}
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id: 342778
{'charpoly_factorization': [[[7311616, 2812160, 940992, 307840, 100304, 5920, 348, 20, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 7}
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id: 342779
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007336760803449, 'p': 11}
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id: 342780
{'charpoly_factorization': [[[25600000000, 5120000000, 960000000, 179200000, 33440000, 448000, 6000, 80, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 13}
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id: 342781
{'charpoly_factorization': [[[135530203361536, -4925482185472, 139281825216, -3618248576, 90674384, -1060448, 11964, -124, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 17}
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id: 342782
{'charpoly_factorization': [[[8158789166432256, -61809008836608, 1326708523008, -16554295296, 265006080, 1741824, 14688, 72, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 19}
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id: 342783
{'charpoly_factorization': [[[-1487, 98, 1], 4]], 'hecke_orbit_code': 9007336760803449, 'p': 23}
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id: 342784
{'charpoly_factorization': [[[318343244414976, -10852610605056, 445340712960, -17751343104, 710590464, 4202496, 24960, 144, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 29}
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id: 342785
{'charpoly_factorization': [[[18113272128961, 298522177598, 13699964211, 370490044, 12746789, -179588, 3219, -34, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 31}
-
id: 342786
{'charpoly_factorization': [[[83156680161, 8362124262, 686029851, 53414316, 4093749, 99468, 2379, 54, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 37}
-
id: 342787
{'charpoly_factorization': [[[26540983231867518976, 198199495824244736, 1110314680811520, 5530109968384, 25827912704, 77046784, 215520, 536, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 41}
-
id: 342788
{'charpoly_factorization': [[[132, 60, 1], 4]], 'hecke_orbit_code': 9007336760803449, 'p': 43}
-
id: 342789
{'charpoly_factorization': [[[372450974242963456, 4100820312260608, 60228064247808, 829131063296, 11567022080, -33562624, 98688, -272, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 47}
-
id: 342790
{'charpoly_factorization': [[[6822688517501296896, -65679790847042304, 498782354606784, -3516496979328, 24092787024, -68805216, 190956, -492, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 53}
-
id: 342791
{'charpoly_factorization': [[[5405062778469469921, 71070572651754442, 822400404063771, 9339678609716, 105750167669, 193700948, 353739, 634, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 59}
-
id: 342792
{'charpoly_factorization': [[[31358076138306994176, 351998930353029120, 3532192449196032, 34945514311680, 345066810624, 466986240, 630768, 840, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 61}
-
id: 342793
{'charpoly_factorization': [[[140929, -754, 1], 4]], 'hecke_orbit_code': 9007336760803449, 'p': 67}
-
id: 342794
{'charpoly_factorization': [[[90714074381111535201, -630210593284289046, 3448697220760059, -17501317946892, 86247951669, -179329644, 362091, -678, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 71}
-
id: 342795
{'charpoly_factorization': [[[144991773475415858937856, 93986940567982899200, 295891807929397248, 344114890547200, 702572413184, -557657600, 777072, -400, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 73}
-
id: 342796
{'charpoly_factorization': [[[2569183933834941071524096, -641259010817824166144, 2189356595231582400, -1052961583413376, 1992104899664, 831694304, 1365900, 316, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 79}
-
id: 342797
{'charpoly_factorization': [[[17833235004170496, 722218240044288, 27705512403648, 1059532845696, 40511929680, 91686816, 207468, 468, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 83}
-
id: 342798
{'charpoly_factorization': [[[525489, 1842, 1], 4]], 'hecke_orbit_code': 9007336760803449, 'p': 89}
-
id: 342799
{'charpoly_factorization': [[[1696088752543513741204801, 3260791677434973460594, 4782757978435716435, 6337691017842596, 7993452612389, 5553527396, 3672435, 2194, 1], 1]], 'hecke_orbit_code': 9007336760803449, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '121.4.c.c', 'level': 121, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 29998411
{'hecke_orbit_code': 9007336760803449, 'n': 1, 'trace_an': 8}
-
id: 29998412
{'hecke_orbit_code': 9007336760803449, 'n': 2, 'trace_an': -2}
-
id: 29998413
{'hecke_orbit_code': 9007336760803449, 'n': 3, 'trace_an': 2}
-
id: 29998414
{'hecke_orbit_code': 9007336760803449, 'n': 4, 'trace_an': 8}
-
id: 29998415
{'hecke_orbit_code': 9007336760803449, 'n': 5, 'trace_an': -2}
-
id: 29998416
{'hecke_orbit_code': 9007336760803449, 'n': 6, 'trace_an': 26}
-
id: 29998417
{'hecke_orbit_code': 9007336760803449, 'n': 7, 'trace_an': -20}
-
id: 29998418
{'hecke_orbit_code': 9007336760803449, 'n': 8, 'trace_an': 12}
-
id: 29998419
{'hecke_orbit_code': 9007336760803449, 'n': 9, 'trace_an': -44}
-
id: 29998420
{'hecke_orbit_code': 9007336760803449, 'n': 10, 'trace_an': 200}
-
id: 29998421
{'hecke_orbit_code': 9007336760803449, 'n': 11, 'trace_an': 0}
-
id: 29998422
{'hecke_orbit_code': 9007336760803449, 'n': 12, 'trace_an': -160}
-
id: 29998423
{'hecke_orbit_code': 9007336760803449, 'n': 13, 'trace_an': -80}
-
id: 29998424
{'hecke_orbit_code': 9007336760803449, 'n': 14, 'trace_an': 4}
-
id: 29998425
{'hecke_orbit_code': 9007336760803449, 'n': 15, 'trace_an': 194}
-
id: 29998426
{'hecke_orbit_code': 9007336760803449, 'n': 16, 'trace_an': 8}
-
id: 29998427
{'hecke_orbit_code': 9007336760803449, 'n': 17, 'trace_an': 124}
-
id: 29998428
{'hecke_orbit_code': 9007336760803449, 'n': 18, 'trace_an': -92}
-
id: 29998429
{'hecke_orbit_code': 9007336760803449, 'n': 19, 'trace_an': -72}
-
id: 29998430
{'hecke_orbit_code': 9007336760803449, 'n': 20, 'trace_an': -88}
-
id: 29998431
{'hecke_orbit_code': 9007336760803449, 'n': 21, 'trace_an': 304}
-
id: 29998432
{'hecke_orbit_code': 9007336760803449, 'n': 22, 'trace_an': 0}
-
id: 29998433
{'hecke_orbit_code': 9007336760803449, 'n': 23, 'trace_an': -392}
-
id: 29998434
{'hecke_orbit_code': 9007336760803449, 'n': 24, 'trace_an': -252}
-
id: 29998435
{'hecke_orbit_code': 9007336760803449, 'n': 25, 'trace_an': -136}
-
id: 29998436
{'hecke_orbit_code': 9007336760803449, 'n': 26, 'trace_an': 40}
-
id: 29998437
{'hecke_orbit_code': 9007336760803449, 'n': 27, 'trace_an': 182}
-
id: 29998438
{'hecke_orbit_code': 9007336760803449, 'n': 28, 'trace_an': 128}
-
id: 29998439
{'hecke_orbit_code': 9007336760803449, 'n': 29, 'trace_an': -144}
-
id: 29998440
{'hecke_orbit_code': 9007336760803449, 'n': 30, 'trace_an': 266}
-
id: 29998441
{'hecke_orbit_code': 9007336760803449, 'n': 31, 'trace_an': 34}
-
id: 29998442
{'hecke_orbit_code': 9007336760803449, 'n': 32, 'trace_an': -416}
-
id: 29998443
{'hecke_orbit_code': 9007336760803449, 'n': 33, 'trace_an': 0}
-
id: 29998444
{'hecke_orbit_code': 9007336760803449, 'n': 34, 'trace_an': -208}
-
id: 29998445
{'hecke_orbit_code': 9007336760803449, 'n': 35, 'trace_an': 172}
-
id: 29998446
{'hecke_orbit_code': 9007336760803449, 'n': 36, 'trace_an': 80}
-
id: 29998447
{'hecke_orbit_code': 9007336760803449, 'n': 37, 'trace_an': -54}
-
id: 29998448
{'hecke_orbit_code': 9007336760803449, 'n': 38, 'trace_an': -432}
-
id: 29998449
{'hecke_orbit_code': 9007336760803449, 'n': 39, 'trace_an': -400}
-
id: 29998450
{'hecke_orbit_code': 9007336760803449, 'n': 40, 'trace_an': 492}
-
id: 29998451
{'hecke_orbit_code': 9007336760803449, 'n': 41, 'trace_an': -536}
-
id: 29998452
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