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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, [-4, 1]], [7, [-2, 1]], [13, [5, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444120336, '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.p', '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': '184.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+4q^{5}+2q^{7}-2q^{9}-4q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/8464/p'], '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, 4, 2], 'trace_hash': 1670111575706392017, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.038', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.194', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [1, 0, 1, 0, 4, 0, 2, 0, -2, 0, -4, 0, -5, 0, 4, 0, 2, 0, 6, 0, 2, 0, 0, 0, 11, 0, -5, 0, 1, 0, 9, 0, -4, 0, 8, 0, 4, 0, -5, 0, 3, 0, 8, 0, -8, 0, 5, 0, -3, 0, 2, 0, -6, 0, -16, 0, 6, 0, 4, 0, 10, 0, -4, 0, -20, 0, -4, 0, 0, 0, 5, 0, -15, 0, 11, 0, -8, 0, -6, 0, 1, 0, 6, 0, 8, 0, 1, 0, 8, 0, -10, 0, 9, 0, 24, 0, -10, 0, 8, 0, -10, 0, 10, 0, 8, 0, 6, 0, 0, 0, 4, 0, -6, 0, 0, 0, 10, 0, 4, 0, 5, 0, 3, 0, 24, 0, 7, 0, 8, 0, 21, 0, 12, 0, -20, 0, -4, 0, -5, 0, 5, 0, 20, 0, 4, 0, -3, 0, 18, 0, -11, 0, -4, 0, 36, 0, 12, 0, -6, 0, 0, 0, -25, 0, -16, 0, -12, 0, 12, 0, -12, 0, -2, 0, 22, 0, 4, 0, -1, 0, 12, 0, 10, 0, 16, 0, -8, 0, -10, 0, 12, 0, 1, 0, -20, 0, 21, 0, 16, 0, -4, 0, 2, 0, 12, 0, 0, 0, -24, 0, 16, 0, 5, 0, 32, 0, 18, 0, -15, 0, -10, 0, 16, 0, -22, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [4], [0], [2], [0], [-2], [0], [-4], [0], [-5], [0], [4], [0], [2], [0], [6], [0], [2], [0], [0], [0], [11], [0], [-5], [0], [1], [0], [9], [0], [-4], [0], [8], [0], [4], [0], [-5], [0], [3], [0], [8], [0], [-8], [0], [5], [0], [-3], [0], [2], [0], [-6], [0], [-16], [0], [6], [0], [4], [0], [10], [0], [-4], [0], [-20], [0], [-4], [0], [0], [0], [5], [0], [-15], [0], [11], [0], [-8], [0], [-6], [0], [1], [0], [6], [0], [8], [0], [1], [0], [8], [0], [-10], [0], [9], [0], [24], [0], [-10], [0], [8], [0]], 'ap': [[0], [1], [4], [2], [-4], [-5], [2], [6], [0], [1], [9], [4], [3], [8], [5], [-6], [4], [10], [-4], [5], [-15], [-6], [6], [8], [-10], [-10], [10], [6], [0], [-6], [7], [21], [-4], [-5], [18], [-11], [12], [-25], [-12], [-2], [-1], [12], [12], [1], [21], [16], [16], [16], [-14], [-28], [-9], [1], [16], [30], [-21], [22], [21], [8], [-7], [6], [-16], [-20], [4], [21], [-20], [-18], [23], [16], [-28], [1], [-3], [-18], [18], [8], [-28], [-12], [-20], [-25], [-12], [17], [4], [2], [-36], [-4], [-25], [5], [-10], [-10], [-7], [8], [22], [18], [11], [11], [-11], [-22], [33], [0], [6], [-3], [-9], [0], [12], [4], [-26], [-39], [13], [-2], [-40], [29], [-32], [26], [-6], [-44], [16], [48], [-8], [-11], [-9], [-26], [-22], [43], [-26], [31], [28], [-18], [14], [-16], [0], [26], [7], [-18], [12], [-24], [25], [-8], [48], [0], [-2], [-22], [-7], [-30], [5], [12], [38], [-6], [-46], [-1], [-35], [-21], [-14], [54], [-12], [-15], [14], [-42], [-2], [-49], [32], [6], [-19], [-34], [-37], [-18], [-36], [-22], [-48], [-58], [-14], [-29], [16], [-35], [-30], [24], [-5], [26], [-37], [-5], [2], [-22], [-37], [36], [-39], [18], [-32], [14], [-30], [6], [29], [-32], [-17], [32], [-32], [18], [52], [16], [44], [4], [-12], [-29], [60], [-24], [61], [-20], [0], [-15], [-64], [69], [-61], [-37], [-33], [-45], [-36], [-42], [-56], [-24], [53], [21], [8], [27], [-5], [20], [-39], [-18], [33], [-21], [-64], [39], [-46], [-60], [50], [74], [4], [66], [12], [-10], [-28], [44], [73], [-5], [48], [-43], [-55], [55], [-66], [25], [17], [-10], [-70], [16], [-6], [-28], [2], [-62], [66], [-17], [-32], [-4], [57], [77], [16], [-4], [26], [10], [-18], [-6], [-44], [68], [14], [-3], [-35], [58], [-48], [42], [-15], [-39], [32], [-38], [72], [-60], [63], [52], [-8], [70], [84], [12], [-34], [-54], [20], [18], [-26], [-46], [66], [26], [5], [2], [38], [27], [-29], [3], [6], [6], [46], [63], [40], [-37], [36], [-88], [-56], [-38], [-15], [-46], [22], [19], [74], [-78], [-9], [-3], [-16], [-1], [44], [2], [71], [-36], [-72], [36], [52], [-73], [16], [-6], [-23], [-37], [-41], [31], [-14], [-17], [-8], [-82], [-37], [32], [-29], [80], [-30], [-50], [-16], [-56], [35], [28], [-50], [12], [45], [41], [6], [86], [-14], [-46], [14], [20], [1], [96], [40], [-83], [35], [12], [79], [93], [91], [16], [94], [63], [-52], [-79], [70], [-4], [27], [87], [16], [-2], [36], [39], [48], [14], [-4], [-65], [-82], [-5], [55], [14], [56], [-2], [82], [-10], [29], [28], [58], [-44], [8], [78], [-2], [-62], [-1], [1], [58], [-78], [83], [-75], [46], [33], [2], [12], [-1], [27], [-72], [-58], [42], [-27], [0], [-40], [84], [0], [-6], [48], [96], [36], [-43], [-105], [-102], [-54], [-75], [33]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 67553994444120336, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '8464.2.a.p', 'level': 8464, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [60, 66, 61, 55], '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: 1392790
{'conductor': 92, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '184.2.a.a', 'target_level': 184, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '92.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392791
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '368.2.a.e', 'target_level': 368, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392792
{'conductor': 184, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1472.2.a.e', 'target_level': 1472, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '184.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1392793
{'conductor': 184, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1472.2.a.l', 'target_level': 1472, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '184.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392794
{'conductor': 276, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1656.2.a.i', 'target_level': 1656, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '276.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392795
{'conductor': 69, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3312.2.a.r', 'target_level': 3312, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '69.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1392796
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4232.2.a.f', 'target_level': 4232, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1392797
{'conductor': 460, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4600.2.a.i', 'target_level': 4600, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '460.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1392798
{'conductor': 460, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4600.2.e.e', 'target_level': 4600, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '460.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1392799
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '8464.2.a.p', 'target_level': 8464, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1392800
{'conductor': 644, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '9016.2.a.k', 'target_level': 9016, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '644.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1392801
{'conductor': 115, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '8464.2.a.p', 'source_level': 8464, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '9200.2.a.o', 'target_level': 9200, 'twist_class_label': '184.2.a.a', 'twist_class_level': 184, 'twisting_char_label': '115.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4761300
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 2}
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id: 4761301
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 3}
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id: 4761302
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 5}
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id: 4761303
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 7}
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id: 4761304
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 11}
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id: 4761305
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 13}
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id: 4761306
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 17}
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id: 4761307
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 19}
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id: 4761308
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 23}
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id: 4761309
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 29}
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id: 4761310
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 31}
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id: 4761311
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 37}
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id: 4761312
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 41}
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id: 4761313
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 43}
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id: 4761314
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 47}
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id: 4761315
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 53}
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id: 4761316
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 59}
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id: 4761317
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 61}
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id: 4761318
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 67}
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id: 4761319
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 71}
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id: 4761320
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 73}
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id: 4761321
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 79}
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id: 4761322
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 83}
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id: 4761323
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 89}
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id: 4761324
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 67553994444120336, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '8464.2.a.p', 'level': 8464, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 60903199
{'hecke_orbit_code': 67553994444120336, 'n': 1, 'trace_an': 1}
-
id: 60903200
{'hecke_orbit_code': 67553994444120336, 'n': 2, 'trace_an': 0}
-
id: 60903201
{'hecke_orbit_code': 67553994444120336, 'n': 3, 'trace_an': 1}
-
id: 60903202
{'hecke_orbit_code': 67553994444120336, 'n': 4, 'trace_an': 0}
-
id: 60903203
{'hecke_orbit_code': 67553994444120336, 'n': 5, 'trace_an': 4}
-
id: 60903204
{'hecke_orbit_code': 67553994444120336, 'n': 6, 'trace_an': 0}
-
id: 60903205
{'hecke_orbit_code': 67553994444120336, 'n': 7, 'trace_an': 2}
-
id: 60903206
{'hecke_orbit_code': 67553994444120336, 'n': 8, 'trace_an': 0}
-
id: 60903207
{'hecke_orbit_code': 67553994444120336, 'n': 9, 'trace_an': -2}
-
id: 60903208
{'hecke_orbit_code': 67553994444120336, 'n': 10, 'trace_an': 0}
-
id: 60903209
{'hecke_orbit_code': 67553994444120336, 'n': 11, 'trace_an': -4}
-
id: 60903210
{'hecke_orbit_code': 67553994444120336, 'n': 12, 'trace_an': 0}
-
id: 60903211
{'hecke_orbit_code': 67553994444120336, 'n': 13, 'trace_an': -5}
-
id: 60903212
{'hecke_orbit_code': 67553994444120336, 'n': 14, 'trace_an': 0}
-
id: 60903213
{'hecke_orbit_code': 67553994444120336, 'n': 15, 'trace_an': 4}
-
id: 60903214
{'hecke_orbit_code': 67553994444120336, 'n': 16, 'trace_an': 0}
-
id: 60903215
{'hecke_orbit_code': 67553994444120336, 'n': 17, 'trace_an': 2}
-
id: 60903216
{'hecke_orbit_code': 67553994444120336, 'n': 18, 'trace_an': 0}
-
id: 60903217
{'hecke_orbit_code': 67553994444120336, 'n': 19, 'trace_an': 6}
-
id: 60903218
{'hecke_orbit_code': 67553994444120336, 'n': 20, 'trace_an': 0}
-
id: 60903219
{'hecke_orbit_code': 67553994444120336, 'n': 21, 'trace_an': 2}
-
id: 60903220
{'hecke_orbit_code': 67553994444120336, 'n': 22, 'trace_an': 0}
-
id: 60903221
{'hecke_orbit_code': 67553994444120336, 'n': 23, 'trace_an': 0}
-
id: 60903222
{'hecke_orbit_code': 67553994444120336, 'n': 24, 'trace_an': 0}
-
id: 60903223
{'hecke_orbit_code': 67553994444120336, 'n': 25, 'trace_an': 11}
-
id: 60903224
{'hecke_orbit_code': 67553994444120336, 'n': 26, 'trace_an': 0}
-
id: 60903225
{'hecke_orbit_code': 67553994444120336, 'n': 27, 'trace_an': -5}
-
id: 60903226
{'hecke_orbit_code': 67553994444120336, 'n': 28, 'trace_an': 0}
-
id: 60903227
{'hecke_orbit_code': 67553994444120336, 'n': 29, 'trace_an': 1}
-
id: 60903228
{'hecke_orbit_code': 67553994444120336, 'n': 30, 'trace_an': 0}
-
id: 60903229
{'hecke_orbit_code': 67553994444120336, 'n': 31, 'trace_an': 9}
-
id: 60903230
{'hecke_orbit_code': 67553994444120336, 'n': 32, 'trace_an': 0}
-
id: 60903231
{'hecke_orbit_code': 67553994444120336, 'n': 33, 'trace_an': -4}
-
id: 60903232
{'hecke_orbit_code': 67553994444120336, 'n': 34, 'trace_an': 0}
-
id: 60903233
{'hecke_orbit_code': 67553994444120336, 'n': 35, 'trace_an': 8}
-
id: 60903234
{'hecke_orbit_code': 67553994444120336, 'n': 36, 'trace_an': 0}
-
id: 60903235
{'hecke_orbit_code': 67553994444120336, 'n': 37, 'trace_an': 4}
-
id: 60903236
{'hecke_orbit_code': 67553994444120336, 'n': 38, 'trace_an': 0}
-
id: 60903237
{'hecke_orbit_code': 67553994444120336, 'n': 39, 'trace_an': -5}
-
id: 60903238
{'hecke_orbit_code': 67553994444120336, 'n': 40, 'trace_an': 0}
-
id: 60903239
{'hecke_orbit_code': 67553994444120336, 'n': 41, 'trace_an': 3}
-
id: 60903240
{'hecke_orbit_code': 67553994444120336, 'n': 42, 'trace_an': 0}
-
id: 60903241
{'hecke_orbit_code': 67553994444120336, 'n': 43, 'trace_an': 8}
-
id: 60903242
{'hecke_orbit_code': 67553994444120336, 'n': 44, 'trace_an': 0}
-
id: 60903243
{'hecke_orbit_code': 67553994444120336, 'n': 45, 'trace_an': -8}
-
id: 60903244
{'hecke_orbit_code': 67553994444120336, 'n': 46, 'trace_an': 0}
-
id: 60903245
{'hecke_orbit_code': 67553994444120336, 'n': 47, 'trace_an': 5}
-
id: 60903246
{'hecke_orbit_code': 67553994444120336, 'n': 48, 'trace_an': 0}
-
id: 60903247
{'hecke_orbit_code': 67553994444120336, 'n': 49, 'trace_an': -3}
-
id: 60903248
{'hecke_orbit_code': 67553994444120336, 'n': 50, 'trace_an': 0}
-
id: 60903249
{'hecke_orbit_code': 67553994444120336, 'n': 51, 'trace_an': 2}
-
id: 60903250
{'hecke_orbit_code': 67553994444120336, 'n': 52, 'trace_an': 0}
-
id: 60903251
{'hecke_orbit_code': 67553994444120336, 'n': 53, 'trace_an': -6}
-
id: 60903252
{'hecke_orbit_code': 67553994444120336, 'n': 54, 'trace_an': 0}
-
id: 60903253
{'hecke_orbit_code': 67553994444120336, 'n': 55, 'trace_an': -16}
-
id: 60903254
{'hecke_orbit_code': 67553994444120336, 'n': 56, 'trace_an': 0}
-
id: 60903255
{'hecke_orbit_code': 67553994444120336, 'n': 57, 'trace_an': 6}
-
id: 60903256
{'hecke_orbit_code': 67553994444120336, 'n': 58, 'trace_an': 0}
-
id: 60903257
{'hecke_orbit_code': 67553994444120336, 'n': 59, 'trace_an': 4}
-
id: 60903258
{'hecke_orbit_code': 67553994444120336, 'n': 60, 'trace_an': 0}
-
id: 60903259
{'hecke_orbit_code': 67553994444120336, 'n': 61, 'trace_an': 10}
-
id: 60903260
{'hecke_orbit_code': 67553994444120336, 'n': 62, 'trace_an': 0}
-
id: 60903261
{'hecke_orbit_code': 67553994444120336, 'n': 63, 'trace_an': -4}
-
id: 60903262
{'hecke_orbit_code': 67553994444120336, 'n': 64, 'trace_an': 0}
-
id: 60903263
{'hecke_orbit_code': 67553994444120336, 'n': 65, 'trace_an': -20}
-
id: 60903264
{'hecke_orbit_code': 67553994444120336, 'n': 66, 'trace_an': 0}
-
id: 60903265
{'hecke_orbit_code': 67553994444120336, 'n': 67, 'trace_an': -4}
-
id: 60903266
{'hecke_orbit_code': 67553994444120336, 'n': 68, 'trace_an': 0}
-
id: 60903267
{'hecke_orbit_code': 67553994444120336, 'n': 69, 'trace_an': 0}
-
id: 60903268
{'hecke_orbit_code': 67553994444120336, 'n': 70, 'trace_an': 0}
-
id: 60903269
{'hecke_orbit_code': 67553994444120336, 'n': 71, 'trace_an': 5}
-
id: 60903270
{'hecke_orbit_code': 67553994444120336, 'n': 72, 'trace_an': 0}
-
id: 60903271
{'hecke_orbit_code': 67553994444120336, 'n': 73, 'trace_an': -15}
-
id: 60903272
{'hecke_orbit_code': 67553994444120336, 'n': 74, 'trace_an': 0}
-
id: 60903273
{'hecke_orbit_code': 67553994444120336, 'n': 75, 'trace_an': 11}
-
id: 60903274
{'hecke_orbit_code': 67553994444120336, 'n': 76, 'trace_an': 0}
-
id: 60903275
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