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mf_newforms • Show schema
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 6, 1]], 'cm_discs': [], 'conrey_index': 451, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 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': [[11, [36, 6, 1]], [17, [28224, -8064, 936, -48, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1030842483738, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 4, -1, 6, 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': '1050.3.p.a', 'level': 1050, '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, 'minimal_twist': '42.3.g.a', 'nf_label': '4.0.576.2', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta _{1}q^{2}+(-2-\\beta _{2})q^{3}+2\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.3.p', 'trace_display': [0, -6, 0, 10], 'trace_hash': 1582134213936441051, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.827', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.273', 'prec': 17}, {'__RealLiteral__': 0, 'data': '48.901', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '926.023', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.170', 'prec': 17}, 'traces': [4, 0, -6, -4, 0, 0, 10, 0, 6, 0, -12, 12, 0, 24, 0, -8, 48, 0, -42, 0, 0, 0, -24, 0, 0, 96, 0, -40, 0, 0, 102, 0, 36, 0, 0, -24, -22, -24, 6, 0, 0, -24, -28, -24, 0, -72, 132, 0, -2, 0, -48, -12, -120, 0, 0, -48, 84, 96, -24, 0, -72, 0, -30, 32, 0, 0, -110, -96, 0, 0, 312, 0, 66, -48, 0, 0, -120, -192, -10, 0, -18, -48, 0, 60, 0, -24, 0, 0, -72, 0, -222, 96, -102, -24, 0, 0, 0, 0, -72, 0, 36, 24, -42, 0, 0, 144, 288, 36, -290, 0, 0, 40, -168, 24, 0, 0, -18, 0, 96, 0, 170, -96, -156, -204, 0, 0, -500, 0, 42, 0, -108, 0, -258, -336, 0, -48, 168, 216, 0, 0, -264, -168, -36, 24, 0, 0, 6, 88, -264, 0, 340, 48, 0, -144, 0, 12, -648, -264, 360, 0, 552, 0, 100, 312, 0, -456, 0, 96, -872, 0, -126, 28, 648, 0, 0, 96, 24, 0, -84, 0, 0, 456, 144, -144, 0, -72, -288, 0, 90, 0, -252, -48, 218, -48, 0, -4, 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mf_hecke_cc • Show schema
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'embedding_index': 2, 'embedding_m': 4, 'embedding_root_imag': 1.224744871391589, 'embedding_root_real': -0.7071067811865476, 'hecke_orbit': 1, 'hecke_orbit_code': 1030842483738, 'label': '1050.3.p.a.901.2', 'level': 1050, 'weight': 3}
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mf_newspaces • Show schema
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 16, 'char_orbit_label': 'p', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 6, 1]], 'conrey_index': 451, 'cusp_dim': 912, 'dim': 100, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 17], 'hecke_orbit_code': 1030842483738, 'hecke_orbit_dims': [4, 8, 8, 8, 12, 12, 16, 16, 16], 'label': '1050.3.p', 'level': 1050, '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': 1008, 'mf_new_dim': 100, 'num_forms': 9, 'prim_orbit_index': 4, 'relative_dim': 50, 'sturm_bound': 720, 'trace_bound': 14, 'trace_display': [0, 6, 0, 6], 'traces': [100, 0, 6, -100, 0, 0, 6, 0, 150, 0, 12, -12, 0, -8, 0, -200, -48, 0, 114, 0, -12, 96, -24, 0, 0, -96, 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mf_twists_cc • Show schema
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id: 13612411
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 901, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1030842483738, 'target_is_minimal': False, 'target_label': '1050.3.p.a.901.2', 'target_level': 1050, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 13612412
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1099561960474, 'target_is_minimal': False, 'target_label': '1050.3.q.a.649.4', 'target_level': 1050, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 13612413
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099561960474, 'target_is_minimal': False, 'target_label': '1050.3.q.a.649.1', 'target_level': 1050, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 13612414
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412367192106, 'target_is_minimal': True, 'target_label': '42.3.g.a.19.1', 'target_level': 42, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 13612415
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1030842483738, 'target_is_minimal': False, 'target_label': '1050.3.p.a.451.2', 'target_level': 1050, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 13612416
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 893403529342, 'target_is_minimal': False, 'target_label': '126.3.n.a.19.2', 'target_level': 126, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 3}
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id: 13612417
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 145, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18016666302546256, 'target_is_minimal': False, 'target_label': '336.3.bh.e.145.2', 'target_level': 336, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 13612418
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1099561960474, 'target_is_minimal': False, 'target_label': '1050.3.q.a.199.4', 'target_level': 1050, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '35.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 13612419
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412367192358, 'target_is_minimal': False, 'target_label': '294.3.g.a.31.1', 'target_level': 294, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '35.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 13612420
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137489285414, 'target_is_minimal': False, 'target_label': '294.3.c.a.97.4', 'target_level': 294, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '35.9', 'twisting_conrey_index': 9, 'weight': 3}
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id: 13612421
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1099561960474, 'target_is_minimal': False, 'target_label': '1050.3.q.a.199.1', 'target_level': 1050, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '35.17', 'twisting_conrey_index': 17, 'weight': 3}
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id: 13612422
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137489285414, 'target_is_minimal': False, 'target_label': '294.3.c.a.97.3', 'target_level': 294, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 13612423
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412367192106, 'target_is_minimal': True, 'target_label': '42.3.g.a.31.1', 'target_level': 42, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 3}
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id: 13612424
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412367192358, 'target_is_minimal': False, 'target_label': '294.3.g.a.19.1', 'target_level': 294, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 3}
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id: 13612425
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 145, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31529183171576816, 'target_is_minimal': False, 'target_label': '1008.3.cg.h.145.1', 'target_level': 1008, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 3}
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id: 13612426
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 685, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737116656498, 'target_is_minimal': False, 'target_label': '882.3.c.b.685.2', 'target_level': 882, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '105.44', 'twisting_conrey_index': 44, 'weight': 3}
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id: 13612427
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 73, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 893403529342, 'target_is_minimal': False, 'target_label': '126.3.n.a.73.2', 'target_level': 126, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '105.59', 'twisting_conrey_index': 59, 'weight': 3}
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id: 13612428
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 325, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015291913012082, 'target_is_minimal': False, 'target_label': '882.3.n.e.325.2', 'target_level': 882, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '105.74', 'twisting_conrey_index': 74, 'weight': 3}
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id: 13612429
{'conductor': 105, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 685, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737116656498, 'target_is_minimal': False, 'target_label': '882.3.c.b.685.1', 'target_level': 882, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '105.89', 'twisting_conrey_index': 89, 'weight': 3}
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id: 13612430
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 19, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015291913012082, 'target_is_minimal': False, 'target_label': '882.3.n.e.19.2', 'target_level': 882, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 3}
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id: 13612431
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742157199664, 'target_is_minimal': False, 'target_label': '2352.3.f.e.97.4', 'target_level': 2352, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '140.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 13612432
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 241, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18016666302546256, 'target_is_minimal': False, 'target_label': '336.3.bh.e.241.2', 'target_level': 336, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '140.59', 'twisting_conrey_index': 59, 'weight': 3}
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id: 13612433
{'conductor': 140, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742157199664, 'target_is_minimal': False, 'target_label': '2352.3.f.e.97.1', 'target_level': 2352, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '140.79', 'twisting_conrey_index': 79, 'weight': 3}
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id: 13612434
{'conductor': 420, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 901, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 1030842483738, 'source_is_minimal': False, 'source_label': '1050.3.p.a.901.2', 'source_level': 1050, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31529183171576816, 'target_is_minimal': False, 'target_label': '1008.3.cg.h.577.1', 'target_level': 1008, 'twist_class_label': '42.3.g.a.19.1', 'twist_class_level': 42, 'twisting_char_label': '420.59', 'twisting_conrey_index': 59, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1634125
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 2}
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id: 1634126
{'charpoly_factorization': [[[3, 3, 1], 2]], 'hecke_orbit_code': 1030842483738, 'p': 3}
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id: 1634127
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1030842483738, 'p': 5}
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id: 1634128
{'charpoly_factorization': [[[2401, -490, 51, -10, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 7}
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id: 1634129
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 1030842483738, 'p': 11}
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id: 1634130
{'charpoly_factorization': [[[145161, 0, 774, 0, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 13}
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id: 1634131
{'charpoly_factorization': [[[28224, -8064, 936, -48, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 17}
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id: 1634132
{'charpoly_factorization': [[[15129, 5166, 711, 42, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 19}
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id: 1634133
{'charpoly_factorization': [[[254016, -12096, 1080, 24, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 23}
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id: 1634134
{'charpoly_factorization': [[[-1152, 0, 1], 2]], 'hecke_orbit_code': 1030842483738, 'p': 29}
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id: 1634135
{'charpoly_factorization': [[[423801, -66402, 4119, -102, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 31}
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id: 1634136
{'charpoly_factorization': [[[27889, -3674, 651, 22, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 37}
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id: 1634137
{'charpoly_factorization': [[[3732624, 0, 4248, 0, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 41}
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id: 1634138
{'charpoly_factorization': [[[-23, 14, 1], 2]], 'hecke_orbit_code': 1030842483738, 'p': 43}
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id: 1634139
{'charpoly_factorization': [[[2039184, -188496, 7236, -132, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 47}
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id: 1634140
{'charpoly_factorization': [[[8714304, 354240, 11448, 120, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 53}
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id: 1634141
{'charpoly_factorization': [[[1272384, -27072, -936, 24, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 59}
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id: 1634142
{'charpoly_factorization': [[[2304, 3456, 1776, 72, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 61}
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id: 1634143
{'charpoly_factorization': [[[253009, -55330, 12603, 110, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 67}
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id: 1634144
{'charpoly_factorization': [[[2556, -156, 1], 2]], 'hecke_orbit_code': 1030842483738, 'p': 71}
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id: 1634145
{'charpoly_factorization': [[[85322169, 609642, -7785, -66, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 73}
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id: 1634146
{'charpoly_factorization': [[[75463969, -86870, 8787, 10, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 79}
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id: 1634147
{'charpoly_factorization': [[[69956496, 0, 17928, 0, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 83}
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id: 1634148
{'charpoly_factorization': [[[432, 36, 1], 2]], 'hecke_orbit_code': 1030842483738, 'p': 89}
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id: 1634149
{'charpoly_factorization': [[[112896, 0, 1056, 0, 1], 1]], 'hecke_orbit_code': 1030842483738, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 16, 'hecke_orbit': 1, 'label': '1050.3.p.a', 'level': 1050, 'portrait': 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', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 12064662
{'hecke_orbit_code': 1030842483738, 'n': 1, 'trace_an': 4}
-
id: 12064663
{'hecke_orbit_code': 1030842483738, 'n': 2, 'trace_an': 0}
-
id: 12064664
{'hecke_orbit_code': 1030842483738, 'n': 3, 'trace_an': -6}
-
id: 12064665
{'hecke_orbit_code': 1030842483738, 'n': 4, 'trace_an': -4}
-
id: 12064666
{'hecke_orbit_code': 1030842483738, 'n': 5, 'trace_an': 0}
-
id: 12064667
{'hecke_orbit_code': 1030842483738, 'n': 6, 'trace_an': 0}
-
id: 12064668
{'hecke_orbit_code': 1030842483738, 'n': 7, 'trace_an': 10}
-
id: 12064669
{'hecke_orbit_code': 1030842483738, 'n': 8, 'trace_an': 0}
-
id: 12064670
{'hecke_orbit_code': 1030842483738, 'n': 9, 'trace_an': 6}
-
id: 12064671
{'hecke_orbit_code': 1030842483738, 'n': 10, 'trace_an': 0}
-
id: 12064672
{'hecke_orbit_code': 1030842483738, 'n': 11, 'trace_an': -12}
-
id: 12064673
{'hecke_orbit_code': 1030842483738, 'n': 12, 'trace_an': 12}
-
id: 12064674
{'hecke_orbit_code': 1030842483738, 'n': 13, 'trace_an': 0}
-
id: 12064675
{'hecke_orbit_code': 1030842483738, 'n': 14, 'trace_an': 24}
-
id: 12064676
{'hecke_orbit_code': 1030842483738, 'n': 15, 'trace_an': 0}
-
id: 12064677
{'hecke_orbit_code': 1030842483738, 'n': 16, 'trace_an': -8}
-
id: 12064678
{'hecke_orbit_code': 1030842483738, 'n': 17, 'trace_an': 48}
-
id: 12064679
{'hecke_orbit_code': 1030842483738, 'n': 18, 'trace_an': 0}
-
id: 12064680
{'hecke_orbit_code': 1030842483738, 'n': 19, 'trace_an': -42}
-
id: 12064681
{'hecke_orbit_code': 1030842483738, 'n': 20, 'trace_an': 0}
-
id: 12064682
{'hecke_orbit_code': 1030842483738, 'n': 21, 'trace_an': 0}
-
id: 12064683
{'hecke_orbit_code': 1030842483738, 'n': 22, 'trace_an': 0}
-
id: 12064684
{'hecke_orbit_code': 1030842483738, 'n': 23, 'trace_an': -24}
-
id: 12064685
{'hecke_orbit_code': 1030842483738, 'n': 24, 'trace_an': 0}
-
id: 12064686
{'hecke_orbit_code': 1030842483738, 'n': 25, 'trace_an': 0}
-
id: 12064687
{'hecke_orbit_code': 1030842483738, 'n': 26, 'trace_an': 96}
-
id: 12064688
{'hecke_orbit_code': 1030842483738, 'n': 27, 'trace_an': 0}
-
id: 12064689
{'hecke_orbit_code': 1030842483738, 'n': 28, 'trace_an': -40}
-
id: 12064690
{'hecke_orbit_code': 1030842483738, 'n': 29, 'trace_an': 0}
-
id: 12064691
{'hecke_orbit_code': 1030842483738, 'n': 30, 'trace_an': 0}
-
id: 12064692
{'hecke_orbit_code': 1030842483738, 'n': 31, 'trace_an': 102}
-
id: 12064693
{'hecke_orbit_code': 1030842483738, 'n': 32, 'trace_an': 0}
-
id: 12064694
{'hecke_orbit_code': 1030842483738, 'n': 33, 'trace_an': 36}
-
id: 12064695
{'hecke_orbit_code': 1030842483738, 'n': 34, 'trace_an': 0}
-
id: 12064696
{'hecke_orbit_code': 1030842483738, 'n': 35, 'trace_an': 0}
-
id: 12064697
{'hecke_orbit_code': 1030842483738, 'n': 36, 'trace_an': -24}
-
id: 12064698
{'hecke_orbit_code': 1030842483738, 'n': 37, 'trace_an': -22}
-
id: 12064699
{'hecke_orbit_code': 1030842483738, 'n': 38, 'trace_an': -24}
-
id: 12064700
{'hecke_orbit_code': 1030842483738, 'n': 39, 'trace_an': 6}
-
id: 12064701
{'hecke_orbit_code': 1030842483738, 'n': 40, 'trace_an': 0}
-
id: 12064702
{'hecke_orbit_code': 1030842483738, 'n': 41, 'trace_an': 0}
-
id: 12064703
{'hecke_orbit_code': 1030842483738, 'n': 42, 'trace_an': -24}
-
id: 12064704
{'hecke_orbit_code': 1030842483738, 'n': 43, 'trace_an': -28}
-
id: 12064705
{'hecke_orbit_code': 1030842483738, 'n': 44, 'trace_an': -24}
-
id: 12064706
{'hecke_orbit_code': 1030842483738, 'n': 45, 'trace_an': 0}
-
id: 12064707
{'hecke_orbit_code': 1030842483738, 'n': 46, 'trace_an': -72}
-
id: 12064708
{'hecke_orbit_code': 1030842483738, 'n': 47, 'trace_an': 132}
-
id: 12064709
{'hecke_orbit_code': 1030842483738, 'n': 48, 'trace_an': 0}
-
id: 12064710
{'hecke_orbit_code': 1030842483738, 'n': 49, 'trace_an': -2}
-
id: 12064711
{'hecke_orbit_code': 1030842483738, 'n': 50, 'trace_an': 0}
-
id: 12064712
{'hecke_orbit_code': 1030842483738, 'n': 51, 'trace_an': -48}
-
id: 12064713
{'hecke_orbit_code': 1030842483738, 'n': 52, 'trace_an': -12}
-
id: 12064714
{'hecke_orbit_code': 1030842483738, 'n': 53, 'trace_an': -120}
-
id: 12064715
{'hecke_orbit_code': 1030842483738, 'n': 54, 'trace_an': 0}
-
id: 12064716
{'hecke_orbit_code': 1030842483738, 'n': 55, 'trace_an': 0}
-
id: 12064717
{'hecke_orbit_code': 1030842483738, 'n': 56, 'trace_an': -48}
-
id: 12064718
{'hecke_orbit_code': 1030842483738, 'n': 57, 'trace_an': 84}
-
id: 12064719
{'hecke_orbit_code': 1030842483738, 'n': 58, 'trace_an': 96}
-
id: 12064720
{'hecke_orbit_code': 1030842483738, 'n': 59, 'trace_an': -24}
-
id: 12064721
{'hecke_orbit_code': 1030842483738, 'n': 60, 'trace_an': 0}
-
id: 12064722
{'hecke_orbit_code': 1030842483738, 'n': 61, 'trace_an': -72}
-
id: 12064723
{'hecke_orbit_code': 1030842483738, 'n': 62, 'trace_an': 0}
-
id: 12064724
{'hecke_orbit_code': 1030842483738, 'n': 63, 'trace_an': -30}
-
id: 12064725
{'hecke_orbit_code': 1030842483738, 'n': 64, 'trace_an': 32}
-
id: 12064726
{'hecke_orbit_code': 1030842483738, 'n': 65, 'trace_an': 0}
-
id: 12064727
{'hecke_orbit_code': 1030842483738, 'n': 66, 'trace_an': 0}
-
id: 12064728
{'hecke_orbit_code': 1030842483738, 'n': 67, 'trace_an': -110}
-
id: 12064729
{'hecke_orbit_code': 1030842483738, 'n': 68, 'trace_an': -96}
-
id: 12064730
{'hecke_orbit_code': 1030842483738, 'n': 69, 'trace_an': 0}
-
id: 12064731
{'hecke_orbit_code': 1030842483738, 'n': 70, 'trace_an': 0}
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id: 12064732
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