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{'Nk2': 34048, 'analytic_conductor': 67.96866220051386, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [19, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8512, 1, [5055, 6917, 7297, 3137], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-3, -1, 1]], [5, [-1, 1]], [11, [-3, -1, 1]], [23, [3, 8, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463084352, 'hecke_ring_generator_nbound': 3, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8512.2.a.x', 'level': 8512, '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, 7, 19], 'level_radical': 266, 'minimal_twist': '1064.2.a.b', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}+q^{5}-q^{7}+\\beta q^{9}+(1-\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8512.2.a', 'trace_display': [0, 1, 2, -2], 'trace_hash': 924473676509718738, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.096', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [1, 0], [0, 0], [-1, 0], [0, 0], [0, 1], [0, 0], [1, -1], [0, 0], [1, -2], [0, 0], [0, 1], [0, 0], [3, 1], [0, 0], [-1, 0], [0, 0], [0, -1], [0, 0], [-3, -2], [0, 0], [-4, 0], [0, 0], [3, -2], [0, 0], [3, -1], [0, 0], [-7, 1], [0, 0], [-3, 0], [0, 0], [-1, 0], [0, 0], [-1, 2], [0, 0], [-6, -1], [0, 0], [-1, -1], [0, 0], [-2, 4], [0, 0], [0, 1], [0, 0], [-5, 2], [0, 0], [1, 0], [0, 0], [3, 4], [0, 0], [0, -3], [0, 0], [1, -1], [0, 0], [0, -1], [0, 0], [-3, 2], [0, 0], [-3, 4], [0, 0], [0, -1], [0, 0], [1, -2], [0, 0], [7, -3], [0, 0], [-6, -5], [0, 0], [1, -6], [0, 0], [-2, 3], [0, 0], [0, -4], [0, 0], [-1, 1], [0, 0], [-14, 0], [0, 0], [-6, -2], [0, 0], [4, -5], [0, 0], [3, 1], [0, 0], [-3, 2], [0, 0], [6, -6], [0, 0], [-1, 2], [0, 0], [3, -6], [0, 0], [-1, 0], [0, 0], [9, -6], [0, 0], [-3, 0], [0, 0]], 'ap': [[0, 0], [0, 1], [1, 0], [-1, 0], [1, -1], [1, -2], [3, 1], [-1, 0], [-3, -2], [3, -1], [-7, 1], [-1, 2], [-1, -1], [-2, 4], [-5, 2], [0, 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12], [9, -30], [-33, 33], [-30, -7], [20, 6], [25, -15], [-29, 20], [-2, -15], [33, 12], [-66, 27], [3, -42], [-79, 12], [-39, 42], [74, -3], [51, -35], [-11, 30], [-53, 41], [33, -18], [-39, 10], [-30, 22]], 'char_orbit_index': 1, 'field_poly': [-3, -1, 1], 'hecke_orbit_code': 103582791463084352, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '8512.2.a.x', 'level': 8512, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [26, 28, 27, 25, 28, 26, 27, 29], 'Nk2': 34048, 'analytic_conductor': 67.96866220051386, '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': [8512, 1, [5055, 6917, 7297, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1257, 'dim': 216, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 23], 'hecke_orbit_code': 33562944, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10], 'label': '8512.2.a', 'level': 8512, '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, 7, 19], 'level_radical': 266, 'mf_dim': 1304, 'mf_new_dim': 216, 'num_forms': 64, 'plus_dim': 104, 'prim_orbit_index': 1, 'relative_dim': 216, 'sturm_bound': 2560, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [216, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 216, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 184, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -80, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 48, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -112, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -96, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, -256, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -192, 0, 0, 0, -384, 0, 0, 0, 48, 0, 0, 0, -256, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -208, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -160, 0, 0, 0, -176, 0, 0, 0, 96, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 80, 0, 0, 0, 160, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -112, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 176, 0, 0, 0, 128, 0, 0, 0, -288, 0, 0, 0, 16, 0, 0, 0, -288, 0, 0, 0, -80, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 288, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -144, 0, 0, 0, -192, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, -80, 0, 0, 0, -272, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -176, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, -320, 0, 0, 0, 112, 0, 0, 0, -192, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 112, 0, 0, 0, -168, 0, 0, 0, -96, 0, 0, 0, -96, 0, 0, 0, 128, 0, 0, 0, -320, 0, 0, 0, 112, 0, 0, 0, -128, 0, 0, 0, -272, 0, 0, 0, 80, 0, 0, 0, 480, 0, 0, 0, 208, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -256, 0, 0, 0, 416, 0, 0, 0, -192, 0, 0, 0, -96, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -192, 0, 0, 0, 288, 0, 0, 0, 16, 0, 0, 0, 160, 0, 0, 0, 456, 0, 0, 0, 416, 0, 0, 0, -256, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, -112, 0, 0, 0, 272, 0, 0, 0, -80, 0, 0, 0, 448, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, -192, 0, 0, 0, 160, 0, 0, 0, 192, 0, 0, 0, -176, 0, 0, 0, -48, 0, 0, 0, 320, 0, 0, 0, 48, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, 480, 0, 0, 0, 344, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 464, 0, 0, 0, -256, 0, 0, 0, 448, 0, 0, 0, -320, 0, 0, 0, 512, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1394680
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '8512.2.a.x', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1064.2.a.b', 'target_level': 1064, 'twist_class_label': '1064.2.a.b', 'twist_class_level': 1064, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1394681
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '8512.2.a.x', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2128.2.a.i', 'target_level': 2128, 'twist_class_label': '1064.2.a.b', 'twist_class_level': 1064, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1394682
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '8512.2.a.x', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '7448.2.a.bb', 'target_level': 7448, 'twist_class_label': '1064.2.a.b', 'twist_class_level': 1064, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1394683
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '8512.2.a.x', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '8512.2.a.r', 'target_level': 8512, 'twist_class_label': '1064.2.a.b', 'twist_class_level': 1064, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1394684
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '8512.2.a.x', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '8512.2.a.x', 'target_level': 8512, 'twist_class_label': '1064.2.a.b', 'twist_class_level': 1064, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1394685
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 24, 'source_is_minimal': False, 'source_label': '8512.2.a.x', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '9576.2.a.bs', 'target_level': 9576, 'twist_class_label': '1064.2.a.b', 'twist_class_level': 1064, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4384425
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791463084352, 'p': 2}
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id: 4384426
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 3}
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id: 4384427
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 103582791463084352, 'p': 5}
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id: 4384428
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 103582791463084352, 'p': 7}
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id: 4384429
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 11}
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id: 4384430
{'charpoly_factorization': [[[-13, 0, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 13}
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id: 4384431
{'charpoly_factorization': [[[9, -7, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 17}
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id: 4384432
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 103582791463084352, 'p': 19}
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id: 4384433
{'charpoly_factorization': [[[3, 8, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 23}
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id: 4384434
{'charpoly_factorization': [[[3, -5, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 29}
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id: 4384435
{'charpoly_factorization': [[[39, 13, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 31}
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id: 4384436
{'charpoly_factorization': [[[-13, 0, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 37}
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id: 4384437
{'charpoly_factorization': [[[-1, 3, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 41}
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id: 4384438
{'charpoly_factorization': [[[-52, 0, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 43}
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id: 4384439
{'charpoly_factorization': [[[3, 8, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 47}
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id: 4384440
{'charpoly_factorization': [[[-27, 3, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 53}
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id: 4384441
{'charpoly_factorization': [[[-9, 4, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 59}
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id: 4384442
{'charpoly_factorization': [[[-51, 2, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 61}
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id: 4384443
{'charpoly_factorization': [[[1, -11, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 67}
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id: 4384444
{'charpoly_factorization': [[[-113, 4, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 71}
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id: 4384445
{'charpoly_factorization': [[[-29, 1, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 73}
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id: 4384446
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 103582791463084352, 'p': 79}
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id: 4384447
{'charpoly_factorization': [[[-79, -3, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 83}
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id: 4384448
{'charpoly_factorization': [[[-108, -6, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 89}
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id: 4384449
{'charpoly_factorization': [[[-81, -12, 1], 1]], 'hecke_orbit_code': 103582791463084352, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '8512.2.a.x', 'level': 8512, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66136213
{'hecke_orbit_code': 103582791463084352, 'n': 1, 'trace_an': 2}
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id: 66136214
{'hecke_orbit_code': 103582791463084352, 'n': 2, 'trace_an': 0}
-
id: 66136215
{'hecke_orbit_code': 103582791463084352, 'n': 3, 'trace_an': 1}
-
id: 66136216
{'hecke_orbit_code': 103582791463084352, 'n': 4, 'trace_an': 0}
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id: 66136217
{'hecke_orbit_code': 103582791463084352, 'n': 5, 'trace_an': 2}
-
id: 66136218
{'hecke_orbit_code': 103582791463084352, 'n': 6, 'trace_an': 0}
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id: 66136219
{'hecke_orbit_code': 103582791463084352, 'n': 7, 'trace_an': -2}
-
id: 66136220
{'hecke_orbit_code': 103582791463084352, 'n': 8, 'trace_an': 0}
-
id: 66136221
{'hecke_orbit_code': 103582791463084352, 'n': 9, 'trace_an': 1}
-
id: 66136222
{'hecke_orbit_code': 103582791463084352, 'n': 10, 'trace_an': 0}
-
id: 66136223
{'hecke_orbit_code': 103582791463084352, 'n': 11, 'trace_an': 1}
-
id: 66136224
{'hecke_orbit_code': 103582791463084352, 'n': 12, 'trace_an': 0}
-
id: 66136225
{'hecke_orbit_code': 103582791463084352, 'n': 13, 'trace_an': 0}
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id: 66136226
{'hecke_orbit_code': 103582791463084352, 'n': 14, 'trace_an': 0}
-
id: 66136227
{'hecke_orbit_code': 103582791463084352, 'n': 15, 'trace_an': 1}
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id: 66136228
{'hecke_orbit_code': 103582791463084352, 'n': 16, 'trace_an': 0}
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id: 66136229
{'hecke_orbit_code': 103582791463084352, 'n': 17, 'trace_an': 7}
-
id: 66136230
{'hecke_orbit_code': 103582791463084352, 'n': 18, 'trace_an': 0}
-
id: 66136231
{'hecke_orbit_code': 103582791463084352, 'n': 19, 'trace_an': -2}
-
id: 66136232
{'hecke_orbit_code': 103582791463084352, 'n': 20, 'trace_an': 0}
-
id: 66136233
{'hecke_orbit_code': 103582791463084352, 'n': 21, 'trace_an': -1}
-
id: 66136234
{'hecke_orbit_code': 103582791463084352, 'n': 22, 'trace_an': 0}
-
id: 66136235
{'hecke_orbit_code': 103582791463084352, 'n': 23, 'trace_an': -8}
-
id: 66136236
{'hecke_orbit_code': 103582791463084352, 'n': 24, 'trace_an': 0}
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