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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': 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': [[3, [1, 3, 1]], [5, [-5, 0, 1]], [11, [19, 9, 1]], [23, [-3, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679897408, '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.j', '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': '133.2.a.a', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta )q^{3}+(1-2\\beta )q^{5}+q^{7}+(-1+\\cdots)q^{9}+\\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, -3, 0, 2], 'trace_hash': 650070846684707806, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.923', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, -1], [0, 0], [1, -2], [0, 0], [1, 0], [0, 0], [-1, 3], [0, 0], [-4, -1], [0, 0], [-1, 0], [0, 0], [1, 3], [0, 0], [0, -3], [0, 0], [-1, 0], [0, 0], [-1, -1], [0, 0], [3, 0], [0, 0], [0, 0], [0, 0], [1, -2], [0, 0], [4, 1], [0, 0], [-4, 3], [0, 0], [5, 6], [0, 0], [1, -2], [0, 0], [1, 6], [0, 0], [1, 1], [0, 0], [2, -1], [0, 0], [-2, 0], [0, 0], [-7, -1], [0, 0], [5, -10], [0, 0], [1, 0], [0, 0], [3, 6], [0, 0], [7, -5], [0, 0], [-2, 9], [0, 0], [1, 1], [0, 0], [-9, 6], [0, 0], [-3, 6], [0, 0], [-1, 3], [0, 0], [-1, 2], [0, 0], [-8, 9], [0, 0], [-3, -3], [0, 0], [-1, -4], [0, 0], [9, -3], [0, 0], [0, 0], [0, 0], [-4, -1], [0, 0], [10, 0], [0, 0], [4, -6], [0, 0], [-3, -3], [0, 0], [6, 3], [0, 0], [-5, -6], [0, 0], [12, -6], [0, 0], [-1, 0], [0, 0], [1, -2], [0, 0], [-1, 2], [0, 0], [-5, 12], [0, 0], [1, -14], [0, 0]], 'ap': [[0, 0], [-1, -1], [1, -2], [1, 0], [-4, -1], [-1, 0], [0, -3], [-1, 0], [3, 0], [4, 1], [-4, 3], [1, 6], [2, -1], [-2, 0], [5, -10], 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[-22, -39], [25, 10], [46, -47], [9, 18], [-11, 33], [34, -20], [8, -12], [5, 5], [-57, 12], [-5, 3], [-18, -12], [-39, 60], [66, -39], [-8, -5], [-43, -21], [38, -16], [-29, -15], [-45, 51], [-22, -3], [-55, -19], [-29, 7], [-8, 6], [-60, 24], [20, 15], [25, -68], [-23, -18], [46, -41], [9, 36], [-56, 7], [-5, 36], [43, -9], [4, -45], [32, -7], [-37, 44], [21, -30], [67, 10], [10, -5], [34, -36], [46, -54], [-43, 20], [-5, 19], [5, 0], [39, -12], [7, 43], [-20, 51], [-28, -33], [-42, 45], [34, -14], [-9, -18], [-16, -4], [-8, 19], [-59, 48], [-9, 15], [37, -38], [-2, 46], [-3, -36], [32, 12], [39, 0], [18, -51], [-40, 72], [-22, 5], [74, -18], [20, -4], [16, 10], [15, 33], [23, 3], [-20, -50], [-57, -6], [26, -48], [1, 34], [83, -18], [11, 8], [-20, -14], [41, -24], [9, -60], [-18, 36], [-48, 0], [28, -45], [27, -33], [-69, 12], [-63, -9], [-74, 27], [77, -19], [-61, 68], [-6, -45], [-15, 6], [25, -42], [81, -24], [-12, 24], [-50, 60], [27, -27], [-5, 36], [47, -70], [13, -6], [-49, 26], [4, 7], [1, 39], [58, 15], [30, -48], [38, 0], [44, -31], [-89, -6], [-69, 30], [-48, 21], [43, -33], [-18, 30], [26, -55], [3, -30], [-19, 15], [-19, 62], [3, -3], [45, -18], [-51, -6], [15, -12], [61, -29], [12, 9], [-25, -4], [16, -23], [31, -50], [35, -66], [0, -6]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 40532396679897408, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '8512.2.a.j', '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: 1394578
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '133.2.a.a', 'target_level': 133, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1394579
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '931.2.a.d', 'target_level': 931, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1394580
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '931.2.f.j', 'target_level': 931, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1394581
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '931.2.f.k', 'target_level': 931, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1394582
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1197.2.a.j', 'target_level': 1197, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1394583
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2128.2.a.o', 'target_level': 2128, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1394584
{'conductor': 152, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2527.2.a.e', 'target_level': 2527, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '152.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1394585
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3325.2.a.q', 'target_level': 3325, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1394586
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '8379.2.a.bn', 'target_level': 8379, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1394587
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '8512.2.a.j', 'target_level': 8512, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1394588
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '8512.2.a.j', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '8512.2.a.be', 'target_level': 8512, 'twist_class_label': '133.2.a.a', 'twist_class_level': 133, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4775550
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679897408, 'p': 2}
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id: 4775551
{'charpoly_factorization': [[[1, 3, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 3}
-
id: 4775552
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 5}
-
id: 4775553
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40532396679897408, 'p': 7}
-
id: 4775554
{'charpoly_factorization': [[[19, 9, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 11}
-
id: 4775555
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 40532396679897408, 'p': 13}
-
id: 4775556
{'charpoly_factorization': [[[-9, 3, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 17}
-
id: 4775557
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 40532396679897408, 'p': 19}
-
id: 4775558
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 40532396679897408, 'p': 23}
-
id: 4775559
{'charpoly_factorization': [[[19, -9, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 29}
-
id: 4775560
{'charpoly_factorization': [[[-5, 5, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 31}
-
id: 4775561
{'charpoly_factorization': [[[-29, -8, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 37}
-
id: 4775562
{'charpoly_factorization': [[[1, -3, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 41}
-
id: 4775563
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 40532396679897408, 'p': 43}
-
id: 4775564
{'charpoly_factorization': [[[-125, 0, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 47}
-
id: 4775565
{'charpoly_factorization': [[[-11, -9, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 53}
-
id: 4775566
{'charpoly_factorization': [[[-9, 12, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 59}
-
id: 4775567
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 61}
-
id: 4775568
{'charpoly_factorization': [[[-89, 7, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 67}
-
id: 4775569
{'charpoly_factorization': [[[-11, 6, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 71}
-
id: 4775570
{'charpoly_factorization': [[[45, -15, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 73}
-
id: 4775571
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 40532396679897408, 'p': 79}
-
id: 4775572
{'charpoly_factorization': [[[9, 9, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 83}
-
id: 4775573
{'charpoly_factorization': [[[36, -18, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 89}
-
id: 4775574
{'charpoly_factorization': [[[-179, -2, 1], 1]], 'hecke_orbit_code': 40532396679897408, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '8512.2.a.j', 'level': 8512, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 53289619
{'hecke_orbit_code': 40532396679897408, 'n': 1, 'trace_an': 2}
-
id: 53289620
{'hecke_orbit_code': 40532396679897408, 'n': 2, 'trace_an': 0}
-
id: 53289621
{'hecke_orbit_code': 40532396679897408, 'n': 3, 'trace_an': -3}
-
id: 53289622
{'hecke_orbit_code': 40532396679897408, 'n': 4, 'trace_an': 0}
-
id: 53289623
{'hecke_orbit_code': 40532396679897408, 'n': 5, 'trace_an': 0}
-
id: 53289624
{'hecke_orbit_code': 40532396679897408, 'n': 6, 'trace_an': 0}
-
id: 53289625
{'hecke_orbit_code': 40532396679897408, 'n': 7, 'trace_an': 2}
-
id: 53289626
{'hecke_orbit_code': 40532396679897408, 'n': 8, 'trace_an': 0}
-
id: 53289627
{'hecke_orbit_code': 40532396679897408, 'n': 9, 'trace_an': 1}
-
id: 53289628
{'hecke_orbit_code': 40532396679897408, 'n': 10, 'trace_an': 0}
-
id: 53289629
{'hecke_orbit_code': 40532396679897408, 'n': 11, 'trace_an': -9}
-
id: 53289630
{'hecke_orbit_code': 40532396679897408, 'n': 12, 'trace_an': 0}
-
id: 53289631
{'hecke_orbit_code': 40532396679897408, 'n': 13, 'trace_an': -2}
-
id: 53289632
{'hecke_orbit_code': 40532396679897408, 'n': 14, 'trace_an': 0}
-
id: 53289633
{'hecke_orbit_code': 40532396679897408, 'n': 15, 'trace_an': 5}
-
id: 53289634
{'hecke_orbit_code': 40532396679897408, 'n': 16, 'trace_an': 0}
-
id: 53289635
{'hecke_orbit_code': 40532396679897408, 'n': 17, 'trace_an': -3}
-
id: 53289636
{'hecke_orbit_code': 40532396679897408, 'n': 18, 'trace_an': 0}
-
id: 53289637
{'hecke_orbit_code': 40532396679897408, 'n': 19, 'trace_an': -2}
-
id: 53289638
{'hecke_orbit_code': 40532396679897408, 'n': 20, 'trace_an': 0}
-
id: 53289639
{'hecke_orbit_code': 40532396679897408, 'n': 21, 'trace_an': -3}
-
id: 53289640
{'hecke_orbit_code': 40532396679897408, 'n': 22, 'trace_an': 0}
-
id: 53289641
{'hecke_orbit_code': 40532396679897408, 'n': 23, 'trace_an': 6}
-
id: 53289642
{'hecke_orbit_code': 40532396679897408, 'n': 24, 'trace_an': 0}
-
id: 53289643
{'hecke_orbit_code': 40532396679897408, 'n': 25, 'trace_an': 0}
-
id: 53289644
{'hecke_orbit_code': 40532396679897408, 'n': 26, 'trace_an': 0}
-
id: 53289645
{'hecke_orbit_code': 40532396679897408, 'n': 27, 'trace_an': 0}
-
id: 53289646
{'hecke_orbit_code': 40532396679897408, 'n': 28, 'trace_an': 0}
-
id: 53289647
{'hecke_orbit_code': 40532396679897408, 'n': 29, 'trace_an': 9}
-
id: 53289648
{'hecke_orbit_code': 40532396679897408, 'n': 30, 'trace_an': 0}
-
id: 53289649
{'hecke_orbit_code': 40532396679897408, 'n': 31, 'trace_an': -5}
-
id: 53289650
{'hecke_orbit_code': 40532396679897408, 'n': 32, 'trace_an': 0}
-
id: 53289651
{'hecke_orbit_code': 40532396679897408, 'n': 33, 'trace_an': 16}
-
id: 53289652
{'hecke_orbit_code': 40532396679897408, 'n': 34, 'trace_an': 0}
-
id: 53289653
{'hecke_orbit_code': 40532396679897408, 'n': 35, 'trace_an': 0}
-
id: 53289654
{'hecke_orbit_code': 40532396679897408, 'n': 36, 'trace_an': 0}
-
id: 53289655
{'hecke_orbit_code': 40532396679897408, 'n': 37, 'trace_an': 8}
-
id: 53289656
{'hecke_orbit_code': 40532396679897408, 'n': 38, 'trace_an': 0}
-
id: 53289657
{'hecke_orbit_code': 40532396679897408, 'n': 39, 'trace_an': 3}
-
id: 53289658
{'hecke_orbit_code': 40532396679897408, 'n': 40, 'trace_an': 0}
-
id: 53289659
{'hecke_orbit_code': 40532396679897408, 'n': 41, 'trace_an': 3}
-
id: 53289660
{'hecke_orbit_code': 40532396679897408, 'n': 42, 'trace_an': 0}
-
id: 53289661
{'hecke_orbit_code': 40532396679897408, 'n': 43, 'trace_an': -4}
-
id: 53289662
{'hecke_orbit_code': 40532396679897408, 'n': 44, 'trace_an': 0}
-
id: 53289663
{'hecke_orbit_code': 40532396679897408, 'n': 45, 'trace_an': -15}
-
id: 53289664
{'hecke_orbit_code': 40532396679897408, 'n': 46, 'trace_an': 0}
-
id: 53289665
{'hecke_orbit_code': 40532396679897408, 'n': 47, 'trace_an': 0}
-
id: 53289666
{'hecke_orbit_code': 40532396679897408, 'n': 48, 'trace_an': 0}
-
id: 53289667
{'hecke_orbit_code': 40532396679897408, 'n': 49, 'trace_an': 2}
-
id: 53289668
{'hecke_orbit_code': 40532396679897408, 'n': 50, 'trace_an': 0}
-
id: 53289669
{'hecke_orbit_code': 40532396679897408, 'n': 51, 'trace_an': 12}
-
id: 53289670
{'hecke_orbit_code': 40532396679897408, 'n': 52, 'trace_an': 0}
-
id: 53289671
{'hecke_orbit_code': 40532396679897408, 'n': 53, 'trace_an': 9}
-
id: 53289672
{'hecke_orbit_code': 40532396679897408, 'n': 54, 'trace_an': 0}
-
id: 53289673
{'hecke_orbit_code': 40532396679897408, 'n': 55, 'trace_an': 5}
-
id: 53289674
{'hecke_orbit_code': 40532396679897408, 'n': 56, 'trace_an': 0}
-
id: 53289675
{'hecke_orbit_code': 40532396679897408, 'n': 57, 'trace_an': 3}
-
id: 53289676
{'hecke_orbit_code': 40532396679897408, 'n': 58, 'trace_an': 0}
-
id: 53289677
{'hecke_orbit_code': 40532396679897408, 'n': 59, 'trace_an': -12}
-
id: 53289678
{'hecke_orbit_code': 40532396679897408, 'n': 60, 'trace_an': 0}
-
id: 53289679
{'hecke_orbit_code': 40532396679897408, 'n': 61, 'trace_an': 0}
-
id: 53289680
{'hecke_orbit_code': 40532396679897408, 'n': 62, 'trace_an': 0}
-
id: 53289681
{'hecke_orbit_code': 40532396679897408, 'n': 63, 'trace_an': 1}
-
id: 53289682
{'hecke_orbit_code': 40532396679897408, 'n': 64, 'trace_an': 0}
-
id: 53289683
{'hecke_orbit_code': 40532396679897408, 'n': 65, 'trace_an': 0}
-
id: 53289684
{'hecke_orbit_code': 40532396679897408, 'n': 66, 'trace_an': 0}
-
id: 53289685
{'hecke_orbit_code': 40532396679897408, 'n': 67, 'trace_an': -7}
-
id: 53289686
{'hecke_orbit_code': 40532396679897408, 'n': 68, 'trace_an': 0}
-
id: 53289687
{'hecke_orbit_code': 40532396679897408, 'n': 69, 'trace_an': -9}
-
id: 53289688
{'hecke_orbit_code': 40532396679897408, 'n': 70, 'trace_an': 0}
-
id: 53289689
{'hecke_orbit_code': 40532396679897408, 'n': 71, 'trace_an': -6}
-
id: 53289690
{'hecke_orbit_code': 40532396679897408, 'n': 72, 'trace_an': 0}
-
id: 53289691
{'hecke_orbit_code': 40532396679897408, 'n': 73, 'trace_an': 15}
-
id: 53289692
{'hecke_orbit_code': 40532396679897408, 'n': 74, 'trace_an': 0}
-
id: 53289693
{'hecke_orbit_code': 40532396679897408, 'n': 75, 'trace_an': 0}
-
id: 53289694
{'hecke_orbit_code': 40532396679897408, 'n': 76, 'trace_an': 0}
-
id: 53289695
{'hecke_orbit_code': 40532396679897408, 'n': 77, 'trace_an': -9}
-
id: 53289696
{'hecke_orbit_code': 40532396679897408, 'n': 78, 'trace_an': 0}
-
id: 53289697
{'hecke_orbit_code': 40532396679897408, 'n': 79, 'trace_an': 20}
-
id: 53289698
{'hecke_orbit_code': 40532396679897408, 'n': 80, 'trace_an': 0}
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id: 53289699
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