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mf_newforms • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 91, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [2, 1]], 'cm_discs': [], 'conrey_index': 263, 'conrey_indexes': [263, 373], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 0, 3, 0, 1]], [3, [-2, 2, 1]], [5, [9, 0, 3, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511211232526973, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 91, 7, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '637.2.g.d', 'level': 637, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '91.2.f.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 7, 'qexp_display': 'q-\\zeta_{12}^{2}q^{2}+(-1-\\zeta_{12}^{3})q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '637.2.g', 'trace_display': [0, -4, 0, 0], 'trace_hash': 1998688843142495023, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.939', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '59.148', 'prec': 20}, {'__RealLiteral__': 0, 'data': '38.445', 'prec': 20}, 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mf_hecke_cc • Show schema
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0.5, 'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 4, 'hecke_orbit_code': 13511211232526973, 'label': '637.2.g.d.263.2', 'level': 637, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2548, 'analytic_conductor': 5.086470608755561, 'char_conductor': 91, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [637, 3, [248, 197], [2, 1]], 'conrey_index': 263, 'cusp_dim': 114, 'dim': 86, 'eis_dim': 32, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 3, 5], 'hecke_orbit_code': 412350415485, 'hecke_orbit_dims': [2, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 12, 16], 'label': '637.2.g', 'level': 637, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'mf_dim': 146, 'mf_new_dim': 102, 'num_forms': 13, 'prim_orbit_index': 7, 'relative_dim': 43, 'sturm_bound': 130, 'trace_bound': 5, 'trace_display': [-1, 8, 2, 0], 'traces': [86, -1, 8, -41, 2, 6, 0, -12, 66, 2, 22, -2, 4, 0, -19, -41, -7, -5, 0, -2, 0, -4, 3, -40, -31, 0, 26, 0, -2, -72, -13, 21, 14, -28, 0, -3, 1, 16, 41, -4, 11, 0, -14, -58, 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mf_twists_cc • Show schema
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id: 43285050
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 263, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211232526973, 'target_is_minimal': False, 'target_label': '637.2.g.d.263.2', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43285051
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 471, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374205, 'target_is_minimal': False, 'target_label': '637.2.h.e.471.1', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43285052
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 29, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308699, 'target_is_minimal': True, 'target_label': '91.2.f.b.29.2', 'target_level': 91, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43285053
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 393, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513050237, 'target_is_minimal': False, 'target_label': '637.2.f.d.393.2', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43285054
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 471, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279952003709, 'target_is_minimal': False, 'target_label': '637.2.h.d.471.1', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43285055
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 263, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014810859897469, 'target_is_minimal': False, 'target_label': '637.2.g.e.263.2', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43285056
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 165, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374205, 'target_is_minimal': False, 'target_label': '637.2.h.e.165.1', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43285057
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 757, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504561733600051, 'target_is_minimal': False, 'target_label': '819.2.o.b.757.1', 'target_level': 819, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43285058
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 1121, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63051631767324080, 'target_is_minimal': False, 'target_label': '1456.2.s.o.1121.1', 'target_level': 1456, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43285059
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408095, 'target_is_minimal': False, 'target_label': '1183.2.a.f.1.1', 'target_level': 1183, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43285060
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 373, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511211232526973, 'target_is_minimal': False, 'target_label': '637.2.g.d.373.2', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43285061
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543037599, 'target_is_minimal': False, 'target_label': '1183.2.a.e.1.2', 'target_level': 1183, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 43285062
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014535981991071, 'target_is_minimal': False, 'target_label': '1183.2.c.e.337.1', 'target_level': 1183, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 43285063
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 165, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279952003709, 'target_is_minimal': False, 'target_label': '637.2.h.d.165.1', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 43285064
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 373, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014810859897469, 'target_is_minimal': False, 'target_label': '637.2.g.e.373.2', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 43285065
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 295, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511142513050237, 'target_is_minimal': False, 'target_label': '637.2.f.d.295.2', 'target_level': 637, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 43285066
{'conductor': 91, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014535981991071, 'target_is_minimal': False, 'target_label': '1183.2.c.e.337.3', 'target_level': 1183, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.80', 'twisting_conrey_index': 80, 'weight': 2}
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id: 43285067
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698861145, 'target_is_minimal': False, 'target_label': '8281.2.a.r.1.1', 'target_level': 8281, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.81', 'twisting_conrey_index': 81, 'weight': 2}
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id: 43285068
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 22, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503943258308699, 'target_is_minimal': True, 'target_label': '91.2.f.b.22.2', 'target_level': 91, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.87', 'twisting_conrey_index': 87, 'weight': 2}
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id: 43285069
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85568392953602137, 'target_is_minimal': False, 'target_label': '8281.2.a.t.1.2', 'target_level': 8281, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '91.88', 'twisting_conrey_index': 88, 'weight': 2}
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id: 43285070
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 568, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504561733600051, 'target_is_minimal': False, 'target_label': '819.2.o.b.568.1', 'target_level': 819, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '273.269', 'twisting_conrey_index': 269, 'weight': 2}
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id: 43285071
{'conductor': 364, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 263, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511211232526973, 'source_is_minimal': False, 'source_label': '637.2.g.d.263.2', 'source_level': 637, 'target_conrey_index': 113, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63051631767324080, 'target_is_minimal': False, 'target_label': '1456.2.s.o.113.1', 'target_level': 1456, 'twist_class_label': '91.2.f.b.22.2', 'twist_class_level': 91, 'twisting_char_label': '364.87', 'twisting_conrey_index': 87, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1147475
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 2}
-
id: 1147476
{'charpoly_factorization': [[[-2, 2, 1], 2]], 'hecke_orbit_code': 13511211232526973, 'p': 3}
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id: 1147477
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 5}
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id: 1147478
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13511211232526973, 'p': 7}
-
id: 1147479
{'charpoly_factorization': [[[6, -6, 1], 2]], 'hecke_orbit_code': 13511211232526973, 'p': 11}
-
id: 1147480
{'charpoly_factorization': [[[169, 52, 3, 4, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 13}
-
id: 1147481
{'charpoly_factorization': [[[1089, 396, 111, 12, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 17}
-
id: 1147482
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 13511211232526973, 'p': 19}
-
id: 1147483
{'charpoly_factorization': [[[36, 36, 30, 6, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 23}
-
id: 1147484
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 13511211232526973, 'p': 29}
-
id: 1147485
{'charpoly_factorization': [[[676, -52, 30, 2, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 31}
-
id: 1147486
{'charpoly_factorization': [[[49, -7, 1], 2]], 'hecke_orbit_code': 13511211232526973, 'p': 37}
-
id: 1147487
{'charpoly_factorization': [[[729, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 41}
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id: 1147488
{'charpoly_factorization': [[[4, -20, 102, 10, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 43}
-
id: 1147489
{'charpoly_factorization': [[[144, 144, 156, -12, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 47}
-
id: 1147490
{'charpoly_factorization': [[[1521, 234, 75, -6, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 53}
-
id: 1147491
{'charpoly_factorization': [[[6084, -1404, 246, -18, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 59}
-
id: 1147492
{'charpoly_factorization': [[[73, -20, 1], 2]], 'hecke_orbit_code': 13511211232526973, 'p': 61}
-
id: 1147493
{'charpoly_factorization': [[[-26, 2, 1], 2]], 'hecke_orbit_code': 13511211232526973, 'p': 67}
-
id: 1147494
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 13511211232526973, 'p': 71}
-
id: 1147495
{'charpoly_factorization': [[[529, 92, 39, -4, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 73}
-
id: 1147496
{'charpoly_factorization': [[[8836, 2068, 390, 22, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 79}
-
id: 1147497
{'charpoly_factorization': [[[-18, 6, 1], 2]], 'hecke_orbit_code': 13511211232526973, 'p': 83}
-
id: 1147498
{'charpoly_factorization': [[[144, 144, 156, -12, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 89}
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id: 1147499
{'charpoly_factorization': [[[8464, -736, 156, 8, 1], 1]], 'hecke_orbit_code': 13511211232526973, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 4, 'label': '637.2.g.d', 'level': 637, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 142412000
{'hecke_orbit_code': 13511211232526973, 'n': 1, 'trace_an': 4}
-
id: 142412001
{'hecke_orbit_code': 13511211232526973, 'n': 2, 'trace_an': 0}
-
id: 142412002
{'hecke_orbit_code': 13511211232526973, 'n': 3, 'trace_an': -4}
-
id: 142412003
{'hecke_orbit_code': 13511211232526973, 'n': 4, 'trace_an': -2}
-
id: 142412004
{'hecke_orbit_code': 13511211232526973, 'n': 5, 'trace_an': 0}
-
id: 142412005
{'hecke_orbit_code': 13511211232526973, 'n': 6, 'trace_an': 6}
-
id: 142412006
{'hecke_orbit_code': 13511211232526973, 'n': 7, 'trace_an': 0}
-
id: 142412007
{'hecke_orbit_code': 13511211232526973, 'n': 8, 'trace_an': 0}
-
id: 142412008
{'hecke_orbit_code': 13511211232526973, 'n': 9, 'trace_an': 4}
-
id: 142412009
{'hecke_orbit_code': 13511211232526973, 'n': 10, 'trace_an': -12}
-
id: 142412010
{'hecke_orbit_code': 13511211232526973, 'n': 11, 'trace_an': 12}
-
id: 142412011
{'hecke_orbit_code': 13511211232526973, 'n': 12, 'trace_an': 2}
-
id: 142412012
{'hecke_orbit_code': 13511211232526973, 'n': 13, 'trace_an': -4}
-
id: 142412013
{'hecke_orbit_code': 13511211232526973, 'n': 14, 'trace_an': 0}
-
id: 142412014
{'hecke_orbit_code': 13511211232526973, 'n': 15, 'trace_an': -6}
-
id: 142412015
{'hecke_orbit_code': 13511211232526973, 'n': 16, 'trace_an': 10}
-
id: 142412016
{'hecke_orbit_code': 13511211232526973, 'n': 17, 'trace_an': -12}
-
id: 142412017
{'hecke_orbit_code': 13511211232526973, 'n': 18, 'trace_an': -12}
-
id: 142412018
{'hecke_orbit_code': 13511211232526973, 'n': 19, 'trace_an': -8}
-
id: 142412019
{'hecke_orbit_code': 13511211232526973, 'n': 20, 'trace_an': 0}
-
id: 142412020
{'hecke_orbit_code': 13511211232526973, 'n': 21, 'trace_an': 0}
-
id: 142412021
{'hecke_orbit_code': 13511211232526973, 'n': 22, 'trace_an': 6}
-
id: 142412022
{'hecke_orbit_code': 13511211232526973, 'n': 23, 'trace_an': -6}
-
id: 142412023
{'hecke_orbit_code': 13511211232526973, 'n': 24, 'trace_an': 12}
-
id: 142412024
{'hecke_orbit_code': 13511211232526973, 'n': 25, 'trace_an': 4}
-
id: 142412025
{'hecke_orbit_code': 13511211232526973, 'n': 26, 'trace_an': 0}
-
id: 142412026
{'hecke_orbit_code': 13511211232526973, 'n': 27, 'trace_an': -16}
-
id: 142412027
{'hecke_orbit_code': 13511211232526973, 'n': 28, 'trace_an': 0}
-
id: 142412028
{'hecke_orbit_code': 13511211232526973, 'n': 29, 'trace_an': 6}
-
id: 142412029
{'hecke_orbit_code': 13511211232526973, 'n': 30, 'trace_an': 12}
-
id: 142412030
{'hecke_orbit_code': 13511211232526973, 'n': 31, 'trace_an': -2}
-
id: 142412031
{'hecke_orbit_code': 13511211232526973, 'n': 32, 'trace_an': 0}
-
id: 142412032
{'hecke_orbit_code': 13511211232526973, 'n': 33, 'trace_an': 0}
-
id: 142412033
{'hecke_orbit_code': 13511211232526973, 'n': 34, 'trace_an': 12}
-
id: 142412034
{'hecke_orbit_code': 13511211232526973, 'n': 35, 'trace_an': 0}
-
id: 142412035
{'hecke_orbit_code': 13511211232526973, 'n': 36, 'trace_an': -2}
-
id: 142412036
{'hecke_orbit_code': 13511211232526973, 'n': 37, 'trace_an': 14}
-
id: 142412037
{'hecke_orbit_code': 13511211232526973, 'n': 38, 'trace_an': 0}
-
id: 142412038
{'hecke_orbit_code': 13511211232526973, 'n': 39, 'trace_an': 22}
-
id: 142412039
{'hecke_orbit_code': 13511211232526973, 'n': 40, 'trace_an': -6}
-
id: 142412040
{'hecke_orbit_code': 13511211232526973, 'n': 41, 'trace_an': 0}
-
id: 142412041
{'hecke_orbit_code': 13511211232526973, 'n': 42, 'trace_an': 0}
-
id: 142412042
{'hecke_orbit_code': 13511211232526973, 'n': 43, 'trace_an': -10}
-
id: 142412043
{'hecke_orbit_code': 13511211232526973, 'n': 44, 'trace_an': -6}
-
id: 142412044
{'hecke_orbit_code': 13511211232526973, 'n': 45, 'trace_an': 12}
-
id: 142412045
{'hecke_orbit_code': 13511211232526973, 'n': 46, 'trace_an': -6}
-
id: 142412046
{'hecke_orbit_code': 13511211232526973, 'n': 47, 'trace_an': 12}
-
id: 142412047
{'hecke_orbit_code': 13511211232526973, 'n': 48, 'trace_an': -10}
-
id: 142412048
{'hecke_orbit_code': 13511211232526973, 'n': 49, 'trace_an': 0}
-
id: 142412049
{'hecke_orbit_code': 13511211232526973, 'n': 50, 'trace_an': 0}
-
id: 142412050
{'hecke_orbit_code': 13511211232526973, 'n': 51, 'trace_an': 18}
-
id: 142412051
{'hecke_orbit_code': 13511211232526973, 'n': 52, 'trace_an': -4}
-
id: 142412052
{'hecke_orbit_code': 13511211232526973, 'n': 53, 'trace_an': 6}
-
id: 142412053
{'hecke_orbit_code': 13511211232526973, 'n': 54, 'trace_an': 0}
-
id: 142412054
{'hecke_orbit_code': 13511211232526973, 'n': 55, 'trace_an': -6}
-
id: 142412055
{'hecke_orbit_code': 13511211232526973, 'n': 56, 'trace_an': 0}
-
id: 142412056
{'hecke_orbit_code': 13511211232526973, 'n': 57, 'trace_an': 8}
-
id: 142412057
{'hecke_orbit_code': 13511211232526973, 'n': 58, 'trace_an': 0}
-
id: 142412058
{'hecke_orbit_code': 13511211232526973, 'n': 59, 'trace_an': 18}
-
id: 142412059
{'hecke_orbit_code': 13511211232526973, 'n': 60, 'trace_an': -6}
-
id: 142412060
{'hecke_orbit_code': 13511211232526973, 'n': 61, 'trace_an': 40}
-
id: 142412061
{'hecke_orbit_code': 13511211232526973, 'n': 62, 'trace_an': 18}
-
id: 142412062
{'hecke_orbit_code': 13511211232526973, 'n': 63, 'trace_an': 0}
-
id: 142412063
{'hecke_orbit_code': 13511211232526973, 'n': 64, 'trace_an': 4}
-
id: 142412064
{'hecke_orbit_code': 13511211232526973, 'n': 65, 'trace_an': -18}
-
id: 142412065
{'hecke_orbit_code': 13511211232526973, 'n': 66, 'trace_an': 12}
-
id: 142412066
{'hecke_orbit_code': 13511211232526973, 'n': 67, 'trace_an': -4}
-
id: 142412067
{'hecke_orbit_code': 13511211232526973, 'n': 68, 'trace_an': -12}
-
id: 142412068
{'hecke_orbit_code': 13511211232526973, 'n': 69, 'trace_an': 12}
-
id: 142412069
{'hecke_orbit_code': 13511211232526973, 'n': 70, 'trace_an': 0}
-
id: 142412070
{'hecke_orbit_code': 13511211232526973, 'n': 71, 'trace_an': -12}
-
id: 142412071
{'hecke_orbit_code': 13511211232526973, 'n': 72, 'trace_an': -24}
-
id: 142412072
{'hecke_orbit_code': 13511211232526973, 'n': 73, 'trace_an': 4}
-
id: 142412073
{'hecke_orbit_code': 13511211232526973, 'n': 74, 'trace_an': 0}
-
id: 142412074
{'hecke_orbit_code': 13511211232526973, 'n': 75, 'trace_an': -4}
-
id: 142412075
{'hecke_orbit_code': 13511211232526973, 'n': 76, 'trace_an': 4}
-
id: 142412076
{'hecke_orbit_code': 13511211232526973, 'n': 77, 'trace_an': 0}
-
id: 142412077
{'hecke_orbit_code': 13511211232526973, 'n': 78, 'trace_an': -24}
-
id: 142412078
{'hecke_orbit_code': 13511211232526973, 'n': 79, 'trace_an': -22}
-
id: 142412079
{'hecke_orbit_code': 13511211232526973, 'n': 80, 'trace_an': 0}
-
id: 142412080
{'hecke_orbit_code': 13511211232526973, 'n': 81, 'trace_an': 4}
-
id: 142412081
{'hecke_orbit_code': 13511211232526973, 'n': 82, 'trace_an': 36}
-
id: 142412082
{'hecke_orbit_code': 13511211232526973, 'n': 83, 'trace_an': -12}
-
id: 142412083
{'hecke_orbit_code': 13511211232526973, 'n': 84, 'trace_an': 0}
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id: 142412084
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