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{'Nk2': 7500, 'analytic_conductor': 14.971950378990073, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1875, 1, [626, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915667795, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1875.2.a.d', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '75.2.g.a', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}-q^{4}+q^{6}+(-2+4\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1875.2.a', 'trace_display': [2, 2, 0, 0], 'trace_hash': 1486920194659764480, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.774', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.913', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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'embedding_root_real': -0.6180339887498949, 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915667795, 'label': '1875.2.a.d.1.1', 'level': 1875, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1]], 14, 3], [[[3, 1], [5, 1]], 18, 5], [[[3, 1], [5, -1]], 22, 3], [[[3, -1], [5, 1]], 26, 5]], 'ALdims': [18, 22, 26, 14], 'Nk2': 7500, 'analytic_conductor': 14.971950378990073, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1875, 1, [626, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 221, 'dim': 80, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33556307, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '1875.2.a', 'level': 1875, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 280, 'mf_new_dim': 80, 'num_forms': 16, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 500, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 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mf_twists_cc • Show schema
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id: 42603951
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667795, 'target_is_minimal': False, 'target_label': '1875.2.a.d.1.1', 'target_level': 1875, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42603952
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33560057, 'target_is_minimal': False, 'target_label': '5625.2.a.a.1.1', 'target_level': 5625, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42603953
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668380403539, 'target_is_minimal': False, 'target_label': '1875.2.b.b.1249.3', 'target_level': 1875, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42603954
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380403539, 'target_is_minimal': False, 'target_label': '1875.2.b.b.1249.2', 'target_level': 1875, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42603955
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33556307, 'target_is_minimal': False, 'target_label': '1875.2.a.a.1.2', 'target_level': 1875, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 42603956
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425153529, 'target_is_minimal': False, 'target_label': '5625.2.a.h.1.2', 'target_level': 5625, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 42603957
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 274, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.274.2', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42603958
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415223, 'target_is_minimal': False, 'target_label': '375.2.g.a.151.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 42603959
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414923, 'target_is_minimal': True, 'target_label': '75.2.g.a.46.1', 'target_level': 75, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42603960
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.349.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 42603961
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.349.2', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 42603962
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415223, 'target_is_minimal': False, 'target_label': '375.2.g.a.226.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 42603963
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414923, 'target_is_minimal': True, 'target_label': '75.2.g.a.31.1', 'target_level': 75, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 42603964
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 274, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.274.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42603965
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891809, 'target_is_minimal': False, 'target_label': '225.2.h.a.46.1', 'target_level': 225, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '75.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42603966
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915667795, 'source_is_minimal': False, 'source_label': '1875.2.a.d.1.1', 'source_level': 1875, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891809, 'target_is_minimal': False, 'target_label': '225.2.h.a.181.1', 'target_level': 225, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '75.41', 'twisting_conrey_index': 41, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2271450
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13510798915667795, 'p': 2}
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id: 2271451
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13510798915667795, 'p': 3}
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id: 2271452
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915667795, 'p': 5}
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id: 2271453
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 7}
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id: 2271454
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 11}
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id: 2271455
{'charpoly_factorization': [[[19, -9, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 13}
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id: 2271456
{'charpoly_factorization': [[[-11, -1, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 17}
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id: 2271457
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 19}
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id: 2271458
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 23}
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id: 2271459
{'charpoly_factorization': [[[29, -11, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 29}
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id: 2271460
{'charpoly_factorization': [[[20, -10, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 31}
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id: 2271461
{'charpoly_factorization': [[[-25, -5, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 37}
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id: 2271462
{'charpoly_factorization': [[[5, 5, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 41}
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id: 2271463
{'charpoly_factorization': [[[-44, -2, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 43}
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id: 2271464
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 47}
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id: 2271465
{'charpoly_factorization': [[[5, -5, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 53}
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id: 2271466
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13510798915667795, 'p': 59}
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id: 2271467
{'charpoly_factorization': [[[-1, -1, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 61}
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id: 2271468
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 67}
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id: 2271469
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 71}
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id: 2271470
{'charpoly_factorization': [[[-25, 5, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 73}
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id: 2271471
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915667795, 'p': 79}
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id: 2271472
{'charpoly_factorization': [[[44, -16, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 83}
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id: 2271473
{'charpoly_factorization': [[[41, -13, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 89}
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id: 2271474
{'charpoly_factorization': [[[19, -11, 1], 1]], 'hecke_orbit_code': 13510798915667795, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '1875.2.a.d', 'level': 1875, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 127072000
{'hecke_orbit_code': 13510798915667795, 'n': 1, 'trace_an': 2}
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id: 127072001
{'hecke_orbit_code': 13510798915667795, 'n': 2, 'trace_an': 2}
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id: 127072002
{'hecke_orbit_code': 13510798915667795, 'n': 3, 'trace_an': 2}
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id: 127072003
{'hecke_orbit_code': 13510798915667795, 'n': 4, 'trace_an': -2}
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id: 127072004
{'hecke_orbit_code': 13510798915667795, 'n': 5, 'trace_an': 0}
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id: 127072005
{'hecke_orbit_code': 13510798915667795, 'n': 6, 'trace_an': 2}
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id: 127072006
{'hecke_orbit_code': 13510798915667795, 'n': 7, 'trace_an': 0}
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id: 127072007
{'hecke_orbit_code': 13510798915667795, 'n': 8, 'trace_an': -6}
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id: 127072008
{'hecke_orbit_code': 13510798915667795, 'n': 9, 'trace_an': 2}
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id: 127072009
{'hecke_orbit_code': 13510798915667795, 'n': 10, 'trace_an': 0}
-
id: 127072010
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