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{'Nk2': 33856, 'analytic_conductor': 67.58538027081171, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [23, -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': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [-1, 1]], [5, [-2, 1]], [7, [2, 1]], [13, [1, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58546795189379344, 'hecke_ring_generator_nbound': 1, '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': '8464.2.a.n', 'level': 8464, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'minimal_twist': '4232.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+2q^{5}-2q^{7}-2q^{9}+6q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/8464/n'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8464.2.a', 'trace_display': [0, 1, 2, -2], 'trace_hash': 1161656605832274421, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.994', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.118', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.921', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [1, 0, 1, 0, 2, 0, -2, 0, -2, 0, 6, 0, -1, 0, 2, 0, 6, 0, 4, 0, -2, 0, 0, 0, -1, 0, -5, 0, 9, 0, -3, 0, 6, 0, -4, 0, -2, 0, -1, 0, -1, 0, 0, 0, -4, 0, 1, 0, -3, 0, 6, 0, -12, 0, 12, 0, 4, 0, 12, 0, 8, 0, 4, 0, -2, 0, 10, 0, 0, 0, 13, 0, 5, 0, -1, 0, -12, 0, 4, 0, 1, 0, -2, 0, 12, 0, 9, 0, -12, 0, 2, 0, -3, 0, 8, 0, -2, 0, -12, 0, -14, 0, -14, 0, -4, 0, -8, 0, -16, 0, -2, 0, 14, 0, 0, 0, 2, 0, -12, 0, 25, 0, -1, 0, -12, 0, -9, 0, 0, 0, 1, 0, -8, 0, -10, 0, 16, 0, 19, 0, 1, 0, -6, 0, 18, 0, -3, 0, -16, 0, 17, 0, -12, 0, -6, 0, 12, 0, -12, 0, 0, 0, 11, 0, 12, 0, 0, 0, -12, 0, -8, 0, -2, 0, 2, 0, 12, 0, 15, 0, 14, 0, 8, 0, -4, 0, 36, 0, 10, 0, 22, 0, -19, 0, -2, 0, 1, 0, 22, 0, 10, 0, -18, 0, -2, 0, 0, 0, 24, 0, -4, 0, 13, 0, 0, 0, 6, 0, 5, 0, -6, 0, 12, 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0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [2], [0], [-2], [0], [-2], [0], [6], [0], [-1], [0], [2], [0], [6], [0], [4], [0], [-2], [0], [0], [0], [-1], [0], [-5], [0], [9], [0], [-3], [0], [6], [0], [-4], [0], [-2], [0], [-1], [0], [-1], [0], [0], [0], [-4], [0], [1], [0], [-3], [0], [6], [0], [-12], [0], [12], [0], [4], [0], [12], [0], [8], [0], [4], [0], [-2], [0], [10], [0], [0], [0], [13], [0], [5], [0], [-1], [0], [-12], [0], [4], [0], [1], [0], [-2], [0], [12], [0], [9], [0], [-12], [0], [2], [0], [-3], [0], [8], [0], [-2], [0], [-12], [0]], 'ap': [[0], [1], [2], [-2], [6], [-1], [6], [4], [0], [9], [-3], [-2], [-1], [0], [1], [-12], [12], [8], [10], [13], [5], [4], [-2], [-12], [-2], [-14], [-14], [-8], [-16], [14], [-9], [1], [16], [19], [-16], [17], [12], [11], [0], [-2], [15], [14], [22], [-19], [1], [22], [-4], [12], [-14], [0], [-17], [9], [14], [-18], [27], [-4], [9], [16], [-27], [-6], [14], [12], [-12], [-27], [28], [6], [-13], [20], [-16], [-11], [-15], [28], [-14], [-26], [20], [-32], [4], [3], [-2], [17], [12], [-10], [4], [-2], [19], [41], [-14], [6], [5], [4], [-20], [10], [35], [15], [-3], [-36], [37], [-12], [-34], [-11], [19], [-4], [-16], [-18], [-38], [-7], [-27], [46], [-32], [-3], [32], [-10], [12], [-20], [-4], [12], [18], [-39], [11], [14], [8], [-29], [-40], [27], [-12], [26], [-26], [-16], [-30], [-42], [11], [6], [4], [22], [13], [-50], [12], [44], [4], [10], [21], [-22], [-31], [12], [-2], [-38], [-46], [-9], [1], [-49], [46], [-38], [-44], [21], [-8], [-48], [-18], [15], [34], [-42], [29], [4], [-13], [-40], [-42], [-16], [16], [30], [44], [15], [-6], [21], [18], [32], [43], [10], [15], [-37], [-44], [-6], [-13], [-16], [-31], [-6], [-42], [18], [26], [32], [-19], [-24], [-17], [-4], [-34], [18], [26], [-28], [-10], [-4], [12], [-45], [32], [-8], [-59], [-10], [-4], [49], [46], [13], [15], [59], [47], [23], [-44], [24], [20], [8], [9], [21], [-18], [-61], [-5], [-54], [9], [-6], [61], [-29], [46], [-13], [-52], [-56], [-14], [-42], [30], [-14], [-64], [-58], [44], [-30], [-15], [-65], [-24], [-11], [65], [-5], [54], [9], [37], [72], [12], [-46], [-66], [10], [72], [2], [-66], [-45], [-62], [-10], [13], [-51], [-52], [-24], [26], [14], [-58], [-48], [-18], [-8], [-36], [49], [25], [8], [8], [-2], [-27], [5], [-20], [-6], [42], [-12], [-49], [30], [-18], [28], [4], [40], [-80], [-40], [-56], [-22], [-48], [-50], [6], [-72], [9], [76], [74], [23], [55], [11], [-50], [56], [34], [19], [20], [51], [60], [-68], [-62], [-58], [9], [-40], [46], [23], [0], [78], [-65], [33], [-24], [-69], [-52], [-62], [-5], [-48], [-2], [-28], [38], [63], [54], [-30], [5], [51], [55], [-49], [0], [-37], [82], [18], [-69], [52], [-29], [8], [-54], [-28], [14], [-76], [-45], [12], [28], [54], [-7], [-23], [30], [8], [-38], [-6], [-14], [66], [49], [-24], [70], [-51], [23], [50], [-73], [-67], [-81], [98], [-40], [19], [44], [49], [-30], [-44], [23], [-25], [98], [-28], [24], [7], [18], [-84], [44], [19], [-14], [71], [51], [14], [26], [6], [-10], [-22], [97], [-28], [-30], [10], [-28], [-94], [-30], [2], [-33], [33], [-6], [-18], [27], [-27], [-28], [-47], [-26], [-48], [39], [87], [-58], [-68], [92], [49], [-4], [16], [-60], [20], [-54], [0], [36], [-44], [-27], [-57], [12], [-10], [-15], [-31]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 58546795189379344, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8464.2.a.n', 'level': 8464, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [60, 66, 61, 55], 'ALdims_eis_new': [0, 0, 10, 11], 'ALdims_eis_old': [35, 36, 26, 25], 'ALdims_old': [193, 198, 203, 197], 'Nk2': 33856, 'analytic_conductor': 67.58538027081171, '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': [8464, 1, [7407, 2117, 6353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1033, 'dim': 242, 'eis_dim': 143, 'eis_new_dim': 21, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562896, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 12, 15, 15, 15, 15], 'label': '8464.2.a', 'level': 8464, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 23], 'level_radical': 46, 'mf_dim': 1176, 'mf_new_dim': 263, 'num_forms': 62, 'plus_dim': 115, 'prim_orbit_index': 1, 'relative_dim': 242, 'sturm_bound': 2208, 'trace_bound': 13, 'trace_display': [0, -2, 2, -4], 'traces': [242, 0, -2, 0, 2, 0, -4, 0, 224, 0, 0, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 204, 0, -8, 0, 2, 0, -10, 0, 8, 0, 0, 0, 10, 0, -20, 0, -6, 0, 0, 0, 10, 0, 44, 0, 176, 0, -4, 0, 10, 0, 24, 0, -8, 0, -2, 0, 18, 0, -32, 0, -12, 0, 8, 0, 0, 0, 6, 0, 2, 0, -6, 0, 8, 0, -28, 0, 162, 0, 20, 0, 12, 0, 40, 0, -6, 0, -4, 0, -22, 0, -8, 0, -6, 0, 8, 0, 18, 0, 36, 0, 24, 0, 28, 0, 10, 0, 24, 0, 10, 0, 0, 0, 34, 0, 36, 0, 136, 0, 16, 0, 12, 0, -30, 0, 0, 0, 34, 0, -16, 0, -16, 0, -22, 0, -32, 0, 24, 0, -16, 0, -20, 0, 8, 0, -14, 0, 10, 0, 2, 0, 48, 0, -22, 0, -28, 0, 0, 0, -14, 0, 24, 0, -22, 0, 92, 0, 56, 0, 18, 0, -52, 0, -24, 0, -66, 0, -22, 0, 12, 0, -10, 0, 16, 0, -8, 0, 16, 0, -14, 0, -88, 0, 2, 0, 0, 0, 0, 0, -52, 0, -28, 0, 0, 0, 0, 0, -46, 0, -8, 0, -12, 0, -16, 0, 44, 0, 4, 0, -98, 0, 162, 0, 12, 0, -30, 0, 86, 0, -6, 0, 16, 0, -48, 0, 54, 0, 26, 0, -6, 0, -6, 0, -68, 0, 48, 0, 76, 0, 0, 0, 110, 0, 2, 0, -4, 0, 10, 0, -20, 0, -12, 0, 96, 0, -62, 0, 62, 0, 24, 0, -40, 0, -28, 0, -26, 0, 26, 0, -16, 0, -66, 0, 60, 0, 52, 0, 28, 0, -62, 0, 104, 0, 48, 0, 0, 0, -16, 0, 100, 0, -12, 0, 2, 0, -64, 0, 26, 0, -14, 0, 160, 0, 66, 0, -56, 0, 32, 0, -98, 0, 22, 0, -8, 0, 80, 0, -94, 0, 42, 0, 8, 0, 18, 0, 124, 0, 32, 0, -32, 0, 0, 0, 38, 0, -22, 0, -12, 0, -6, 0, 88, 0, -56, 0, -76, 0, 64, 0, -74, 0, -20, 0, 44, 0, 20, 0, 206, 0, 18, 0, 8, 0, 12, 0, -72, 0, -80, 0, -40, 0, 24, 0, -192, 0, -6, 0, 0, 0, 32, 0, -92, 0, -22, 0, -24, 0, 82, 0, 12, 0, -6, 0, -132, 0, -54, 0, 64, 0, 16, 0, 94, 0, 0, 0, 64, 0, 82, 0, 216, 0, -10, 0, 28, 0, 8, 0, -104, 0, -62, 0, 16, 0, 0, 0, 30, 0, 82, 0, 86, 0, 4, 0, -84, 0, 74, 0, 136, 0, 48, 0, 84, 0, -14, 0, -124, 0, -44, 0, -34, 0, -8, 0, -36, 0, 24, 0, 104, 0, 64, 0, 36, 0, -14, 0, 108, 0, -52, 0, 0, 0, -114, 0, 130, 0, 24, 0, 14, 0, 124, 0, 190, 0, -8, 0, 142, 0, -112, 0, -68, 0, -60, 0, -84, 0, -86, 0, -36, 0, -72, 0, -164, 0, -64, 0, 12, 0, -30, 0, 100, 0, 8, 0, -76, 0, 0, 0, -14, 0, 36, 0, -20, 0, -32, 0, 56, 0, 74, 0, -192, 0, -44, 0, -86, 0, -30, 0, 68, 0, -70, 0, 96, 0, -62, 0, 32, 0, -58, 0, -32, 0, 60, 0, -76, 0, -54, 0, -116, 0, -16, 0, 0, 0, -70, 0, -152, 0, 8, 0, -32, 0, -92, 0, -102, 0, 64, 0, -220, 0, 50, 0, 72, 0, -64, 0, 180, 0, 18, 0, 104, 0, -62, 0, 142, 0, 96, 0, -44, 0, 26, 0, -176, 0, 26, 0, 16, 0, 0, 0, 0, 0, -82, 0, 218, 0, -52, 0, -128, 0, -72, 0, 176, 0, 10, 0, 138, 0, 26, 0, -96, 0, -70, 0, -110, 0, 16, 0, -44, 0, -22, 0, 200, 0, -70, 0, 44, 0, 26, 0, 244, 0, 96, 0, 0, 0, -88, 0, 144, 0, -62, 0, -16, 0, -94, 0, 0, 0, -8, 0, 170, 0, 36, 0, -96, 0, 68, 0, -36, 0, -58, 0, -56, 0, 76, 0, -30, 0, 34, 0, -64, 0, 40, 0, 112, 0, 58, 0, -80, 0, 0, 0, 66, 0, -56, 0, -58, 0, -8, 0, 184, 0, -58, 0, -232, 0, 80, 0, -104, 0, 42, 0, 104, 0, -30, 0, 74, 0, 112, 0, 100, 0, -28, 0, -192, 0, -48, 0, 48, 0, 48, 0, -168, 0, 98, 0, 0, 0, 2, 0, -128, 0, 84, 0, 222, 0, 90, 0, -12, 0, 42, 0, -238, 0, -120, 0, 148, 0, 72, 0, 222, 0, -92, 0, 32, 0, 48, 0, 232, 0, -116, 0, 32, 0, 42, 0, -124, 0, -102, 0, 96, 0, 0, 0, -32, 0, 74, 0, -10, 0, 16, 0, -80, 0, 48, 0, 272, 0, 66, 0, 110, 0, -16, 0, -24, 0, 20, 0, -92, 0, -38, 0, -16, 0, -82, 0, 60, 0, 12, 0, -36, 0, 182, 0, 260, 0, -112, 0, 0, 0, 90, 0, 180, 0, -70, 0, 22, 0, 152, 0, 90, 0, 36, 0, 246, 0, -96, 0, -120, 0, -78, 0, -230, 0, 10, 0, -104, 0, -126, 0, -78, 0, -32, 0, 42, 0, -64, 0, 136, 0, -128, 0, -24, 0, 0, 0, 4, 0, 68, 0, -64, 0, 12, 0, 100, 0, -236, 0, -204, 0, -104, 0, 182, 0, -24, 0, 108, 0, -86, 0, 72, 0, 30, 0, 24, 0, 2, 0, -196, 0, 88, 0, -136, 0, -54, 0, -264, 0, -94, 0, 0, 0, -78, 0, -90, 0, -20, 0, 64, 0, -142, 0, 0, 0, -16, 0, -208, 0, 0, 0, 112, 0, -92, 0, 100, 0, 72, 0, 36, 0, -152, 0, 270, 0, 74, 0, 32, 0, -78, 0, -124, 0, 60, 0, 100, 0, 0, 0, 22, 0, -96, 0, 124, 0, 66, 0, -184, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1392782
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '8464.2.a.n', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '4232.2.a.a', 'target_level': 4232, 'twist_class_label': '4232.2.a.a', 'twist_class_level': 4232, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392783
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '8464.2.a.n', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '4232.2.a.d', 'target_level': 4232, 'twist_class_label': '4232.2.a.a', 'twist_class_level': 4232, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392784
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '8464.2.a.n', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '8464.2.a.l', 'target_level': 8464, 'twist_class_label': '4232.2.a.a', 'twist_class_level': 4232, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392785
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '8464.2.a.n', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '8464.2.a.n', 'target_level': 8464, 'twist_class_label': '4232.2.a.a', 'twist_class_level': 4232, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4761250
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 2}
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id: 4761251
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 3}
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id: 4761252
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 5}
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id: 4761253
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 7}
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id: 4761254
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 11}
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id: 4761255
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 13}
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id: 4761256
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 17}
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id: 4761257
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 19}
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id: 4761258
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 23}
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id: 4761259
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 29}
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id: 4761260
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 31}
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id: 4761261
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 37}
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id: 4761262
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 41}
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id: 4761263
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 43}
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id: 4761264
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 47}
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id: 4761265
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 53}
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id: 4761266
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 59}
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id: 4761267
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 61}
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id: 4761268
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 67}
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id: 4761269
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 71}
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id: 4761270
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 73}
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id: 4761271
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 79}
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id: 4761272
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 83}
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id: 4761273
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 89}
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id: 4761274
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 58546795189379344, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 14, 'label': '8464.2.a.n', 'level': 8464, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 58897765
{'hecke_orbit_code': 58546795189379344, 'n': 1, 'trace_an': 1}
-
id: 58897766
{'hecke_orbit_code': 58546795189379344, 'n': 2, 'trace_an': 0}
-
id: 58897767
{'hecke_orbit_code': 58546795189379344, 'n': 3, 'trace_an': 1}
-
id: 58897768
{'hecke_orbit_code': 58546795189379344, 'n': 4, 'trace_an': 0}
-
id: 58897769
{'hecke_orbit_code': 58546795189379344, 'n': 5, 'trace_an': 2}
-
id: 58897770
{'hecke_orbit_code': 58546795189379344, 'n': 6, 'trace_an': 0}
-
id: 58897771
{'hecke_orbit_code': 58546795189379344, 'n': 7, 'trace_an': -2}
-
id: 58897772
{'hecke_orbit_code': 58546795189379344, 'n': 8, 'trace_an': 0}
-
id: 58897773
{'hecke_orbit_code': 58546795189379344, 'n': 9, 'trace_an': -2}
-
id: 58897774
{'hecke_orbit_code': 58546795189379344, 'n': 10, 'trace_an': 0}
-
id: 58897775
{'hecke_orbit_code': 58546795189379344, 'n': 11, 'trace_an': 6}
-
id: 58897776
{'hecke_orbit_code': 58546795189379344, 'n': 12, 'trace_an': 0}
-
id: 58897777
{'hecke_orbit_code': 58546795189379344, 'n': 13, 'trace_an': -1}
-
id: 58897778
{'hecke_orbit_code': 58546795189379344, 'n': 14, 'trace_an': 0}
-
id: 58897779
{'hecke_orbit_code': 58546795189379344, 'n': 15, 'trace_an': 2}
-
id: 58897780
{'hecke_orbit_code': 58546795189379344, 'n': 16, 'trace_an': 0}
-
id: 58897781
{'hecke_orbit_code': 58546795189379344, 'n': 17, 'trace_an': 6}
-
id: 58897782
{'hecke_orbit_code': 58546795189379344, 'n': 18, 'trace_an': 0}
-
id: 58897783
{'hecke_orbit_code': 58546795189379344, 'n': 19, 'trace_an': 4}
-
id: 58897784
{'hecke_orbit_code': 58546795189379344, 'n': 20, 'trace_an': 0}
-
id: 58897785
{'hecke_orbit_code': 58546795189379344, 'n': 21, 'trace_an': -2}
-
id: 58897786
{'hecke_orbit_code': 58546795189379344, 'n': 22, 'trace_an': 0}
-
id: 58897787
{'hecke_orbit_code': 58546795189379344, 'n': 23, 'trace_an': 0}
-
id: 58897788
{'hecke_orbit_code': 58546795189379344, 'n': 24, 'trace_an': 0}
-
id: 58897789
{'hecke_orbit_code': 58546795189379344, 'n': 25, 'trace_an': -1}
-
id: 58897790
{'hecke_orbit_code': 58546795189379344, 'n': 26, 'trace_an': 0}
-
id: 58897791
{'hecke_orbit_code': 58546795189379344, 'n': 27, 'trace_an': -5}
-
id: 58897792
{'hecke_orbit_code': 58546795189379344, 'n': 28, 'trace_an': 0}
-
id: 58897793
{'hecke_orbit_code': 58546795189379344, 'n': 29, 'trace_an': 9}
-
id: 58897794
{'hecke_orbit_code': 58546795189379344, 'n': 30, 'trace_an': 0}
-
id: 58897795
{'hecke_orbit_code': 58546795189379344, 'n': 31, 'trace_an': -3}
-
id: 58897796
{'hecke_orbit_code': 58546795189379344, 'n': 32, 'trace_an': 0}
-
id: 58897797
{'hecke_orbit_code': 58546795189379344, 'n': 33, 'trace_an': 6}
-
id: 58897798
{'hecke_orbit_code': 58546795189379344, 'n': 34, 'trace_an': 0}
-
id: 58897799
{'hecke_orbit_code': 58546795189379344, 'n': 35, 'trace_an': -4}
-
id: 58897800
{'hecke_orbit_code': 58546795189379344, 'n': 36, 'trace_an': 0}
-
id: 58897801
{'hecke_orbit_code': 58546795189379344, 'n': 37, 'trace_an': -2}
-
id: 58897802
{'hecke_orbit_code': 58546795189379344, 'n': 38, 'trace_an': 0}
-
id: 58897803
{'hecke_orbit_code': 58546795189379344, 'n': 39, 'trace_an': -1}
-
id: 58897804
{'hecke_orbit_code': 58546795189379344, 'n': 40, 'trace_an': 0}
-
id: 58897805
{'hecke_orbit_code': 58546795189379344, 'n': 41, 'trace_an': -1}
-
id: 58897806
{'hecke_orbit_code': 58546795189379344, 'n': 42, 'trace_an': 0}
-
id: 58897807
{'hecke_orbit_code': 58546795189379344, 'n': 43, 'trace_an': 0}
-
id: 58897808
{'hecke_orbit_code': 58546795189379344, 'n': 44, 'trace_an': 0}
-
id: 58897809
{'hecke_orbit_code': 58546795189379344, 'n': 45, 'trace_an': -4}
-
id: 58897810
{'hecke_orbit_code': 58546795189379344, 'n': 46, 'trace_an': 0}
-
id: 58897811
{'hecke_orbit_code': 58546795189379344, 'n': 47, 'trace_an': 1}
-
id: 58897812
{'hecke_orbit_code': 58546795189379344, 'n': 48, 'trace_an': 0}
-
id: 58897813
{'hecke_orbit_code': 58546795189379344, 'n': 49, 'trace_an': -3}
-
id: 58897814
{'hecke_orbit_code': 58546795189379344, 'n': 50, 'trace_an': 0}
-
id: 58897815
{'hecke_orbit_code': 58546795189379344, 'n': 51, 'trace_an': 6}
-
id: 58897816
{'hecke_orbit_code': 58546795189379344, 'n': 52, 'trace_an': 0}
-
id: 58897817
{'hecke_orbit_code': 58546795189379344, 'n': 53, 'trace_an': -12}
-
id: 58897818
{'hecke_orbit_code': 58546795189379344, 'n': 54, 'trace_an': 0}
-
id: 58897819
{'hecke_orbit_code': 58546795189379344, 'n': 55, 'trace_an': 12}
-
id: 58897820
{'hecke_orbit_code': 58546795189379344, 'n': 56, 'trace_an': 0}
-
id: 58897821
{'hecke_orbit_code': 58546795189379344, 'n': 57, 'trace_an': 4}
-
id: 58897822
{'hecke_orbit_code': 58546795189379344, 'n': 58, 'trace_an': 0}
-
id: 58897823
{'hecke_orbit_code': 58546795189379344, 'n': 59, 'trace_an': 12}
-
id: 58897824
{'hecke_orbit_code': 58546795189379344, 'n': 60, 'trace_an': 0}
-
id: 58897825
{'hecke_orbit_code': 58546795189379344, 'n': 61, 'trace_an': 8}
-
id: 58897826
{'hecke_orbit_code': 58546795189379344, 'n': 62, 'trace_an': 0}
-
id: 58897827
{'hecke_orbit_code': 58546795189379344, 'n': 63, 'trace_an': 4}
-
id: 58897828
{'hecke_orbit_code': 58546795189379344, 'n': 64, 'trace_an': 0}
-
id: 58897829
{'hecke_orbit_code': 58546795189379344, 'n': 65, 'trace_an': -2}
-
id: 58897830
{'hecke_orbit_code': 58546795189379344, 'n': 66, 'trace_an': 0}
-
id: 58897831
{'hecke_orbit_code': 58546795189379344, 'n': 67, 'trace_an': 10}
-
id: 58897832
{'hecke_orbit_code': 58546795189379344, 'n': 68, 'trace_an': 0}
-
id: 58897833
{'hecke_orbit_code': 58546795189379344, 'n': 69, 'trace_an': 0}
-
id: 58897834
{'hecke_orbit_code': 58546795189379344, 'n': 70, 'trace_an': 0}
-
id: 58897835
{'hecke_orbit_code': 58546795189379344, 'n': 71, 'trace_an': 13}
-
id: 58897836
{'hecke_orbit_code': 58546795189379344, 'n': 72, 'trace_an': 0}
-
id: 58897837
{'hecke_orbit_code': 58546795189379344, 'n': 73, 'trace_an': 5}
-
id: 58897838
{'hecke_orbit_code': 58546795189379344, 'n': 74, 'trace_an': 0}
-
id: 58897839
{'hecke_orbit_code': 58546795189379344, 'n': 75, 'trace_an': -1}
-
id: 58897840
{'hecke_orbit_code': 58546795189379344, 'n': 76, 'trace_an': 0}
-
id: 58897841
{'hecke_orbit_code': 58546795189379344, 'n': 77, 'trace_an': -12}
-
id: 58897842
{'hecke_orbit_code': 58546795189379344, 'n': 78, 'trace_an': 0}
-
id: 58897843
{'hecke_orbit_code': 58546795189379344, 'n': 79, 'trace_an': 4}
-
id: 58897844
{'hecke_orbit_code': 58546795189379344, 'n': 80, 'trace_an': 0}
-
id: 58897845
{'hecke_orbit_code': 58546795189379344, 'n': 81, 'trace_an': 1}
-
id: 58897846
{'hecke_orbit_code': 58546795189379344, 'n': 82, 'trace_an': 0}
-
id: 58897847
{'hecke_orbit_code': 58546795189379344, 'n': 83, 'trace_an': -2}
-
id: 58897848
{'hecke_orbit_code': 58546795189379344, 'n': 84, 'trace_an': 0}
-
id: 58897849
{'hecke_orbit_code': 58546795189379344, 'n': 85, 'trace_an': 12}
-
id: 58897850
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