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{'Nk2': 21632, 'analytic_conductor': 43.183097413108435, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [13, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5408, 1, [2367, 677, 1185], [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, [-3, 1]], [5, [3, 1]], [7, [-1, 1]], [37, [3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934635296, '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': '5408.2.a.l', 'level': 5408, 'level_is_powerful': True, '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, 13], 'level_radical': 26, 'minimal_twist': '416.2.f.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{3}-3q^{5}+q^{7}+6q^{9}-4q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/5408/l'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5408.2.a', 'trace_display': [0, 3, -3, 1], 'trace_hash': 2037267824357094249, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [3], [0], [-3], [0], [1], [0], [6], [0], [-4], [0], [0], [0], [-9], [0], [5], [0], [-6], [0], [3], [0], [-6], [0], [4], [0], [9], [0], [-4], [0], [0], [0], [-12], [0], [-3], [0], [-3], [0], [0], [0], [12], [0], [-3], [0], [-18], [0], [-7], [0], [-6], [0], [15], [0], [-2], [0], [12], [0], [-18], [0], [2], [0], [-12], [0], [6], [0], [0], [0], [-4], [0], [-18], [0], [11], [0], [6], [0], [12], [0], [-4], [0], [-6], [0], [9], [0], [-10], [0], [-15], [0], [-12], [0], [6], [0], [0], [0], [0], [0], [18], [0], [0], [0], [-24], [0]], 'ap': [[0], [3], [-3], [1], [-4], [0], [5], [-6], [-6], [-4], [0], [-3], [12], [-3], [-7], [-2], [2], [-12], [-4], [11], [6], [-6], [-10], [6], [0], [4], [-6], [-12], [-15], [-14], [-18], [9], [-6], [9], [-6], [3], [14], [-18], [4], [14], [21], [6], [24], [18], [3], [-12], [-3], [-21], [-8], [-9], [-19], [5], [6], [12], [5], [-12], [-4], [-11], [-12], [-18], [12], [9], [2], [-6], [-21], [-6], [-26], [-13], [21], [21], [-18], [-32], [0], [12], [30], [11], [2], [30], [6], [6], [3], [9], [-19], [3], [6], [39], [-12], [18], [33], [32], [-12], [37], [12], [-15], [-32], [-6], [18], [11], [24], [-33], [-33], [3], [-3], [11], [-21], [-6], [-2], [0], [30], [-3], [30], [6], [36], [-44], [-21], [10], [4], [-18], [28], [-24], [42], [1], [-14], [-14], [8], [26], [-42], [48], [24], [-33], [-16], [-11], [36], [2], [-30], [48], [-27], [-32], [-50], [-25], [24], [45], [30], [14], [52], [56], [-33], [-10], [-48], [29], [27], [41], [-9], [24], [21], [0], [-36], [-36], [54], [3], [-20], [-41], [-33], [15], [12], [-35], [-54], [28], [-30], [-44], [16], [-21], [-48], [0], [24], [-5], [-8], [18], [-48], [54], [-28], [-36], [40], [-30], [-16], [38], [54], [-6], [0], [-40], [-27], [40], [3], [30], [-9], [2], [48], [26], [42], [-54], [-27], [54], [-33], [9], [8], [34], [-45], [-36], [12], [-21], [-30], [-56], [30], [62], [-5], [42], [-12], [17], [32], [-45], [0], [67], [-60], [-69], [-9], [-26], [-25], [-54], [18], [-20], [18], [-60], [32], [43], [75], [41], [-18], [-57], [-60], [-48], [-62], [21], [72], [-33], [12], [6], [-61], [4], [24], [-6], [9], [-36], [7], [-37], [14], [-8], [-38], [-18], [-62], [78], [-24], [-27], [51], [-56], [72], [33], [-15], [42], [68], [64], [6], [-70], [48], [-18], [-14], [-16], [-34], [-6], [60], [-21], [-6], [23], [-48], [42], [22], [-18], [29], [-21], [-39], [26], [32], [-75], [-84], [28], [-44], [-68], [-48], [28], [27], [-44], [-41], [-3], [-60], [36], [63], [30], [-15], [0], [28], [60], [6], [-9], [35], [84], [11], [65], [14], [-44], [-72], [14], [-60], [-48], [-58], [3], [24], [-38], [60], [-64], [6], [74], [-66], [-80], [30], [-38], [48], [40], [18], [-24], [-54], [-72], [21], [7], [-27], [-54], [-57], [-39], [-34], [-30], [55], [28], [-50], [-72], [33], [-24], [48], [34], [-49], [52], [31], [-1], [-66], [70], [36], [-94], [-84], [1], [75], [0], [-79], [-9], [-21], [13], [-2], [0], [60], [-20], [-78], [-42], [-46], [-6], [-30], [-48], [-92], [-72], [-90], [101], [-55], [-22], [-18], [42], [-6], [-93], [-38], [-27], [25], [49], [-65], [17], [-60], [45], [-63], [82], [-49], [30], [-9], [-54], [51], [-12], [-76], [-76], [-55], [74], [-45], [93], [81], [2], [-1], [60], [-36], [66], [-74], [42], [-8], [-33], [-54], [-30], [-27], [48], [-84], [-24]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595934635296, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5408.2.a.l', 'level': 5408, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [35, 42, 42, 36], 'Nk2': 21632, 'analytic_conductor': 43.183097413108435, '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': [5408, 1, [2367, 677, 1185], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 673, 'dim': 155, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 37], 'hecke_orbit_code': 33559840, 'hecke_orbit_dims': [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, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 9, 9, 9, 9, 12, 12], 'label': '5408.2.a', 'level': 5408, 'level_is_powerful': True, '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, 13], 'level_radical': 26, 'mf_dim': 784, 'mf_new_dim': 155, 'num_forms': 47, 'plus_dim': 71, 'prim_orbit_index': 1, 'relative_dim': 155, 'sturm_bound': 1456, 'trace_bound': 21, 'trace_display': [0, 0, 2, 0], 'traces': [155, 0, 0, 0, 2, 0, 0, 0, 151, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, -16, 0, 0, 0, 141, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 14, 0, 0, 0, 26, 0, 0, 0, 147, 0, 0, 0, 34, 0, 0, 0, 16, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -34, 0, 0, 0, 48, 0, 0, 0, 195, 0, 0, 0, 20, 0, 0, 0, 30, 0, 0, 0, 16, 0, 0, 0, 6, 0, 0, 0, 34, 0, 0, 0, 80, 0, 0, 0, -38, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 191, 0, 0, 0, 84, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 14, 0, 0, 0, -48, 0, 0, 0, -20, 0, 0, 0, -30, 0, 0, 0, 30, 0, 0, 0, -22, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 112, 0, 0, 0, -62, 0, 0, 0, -20, 0, 0, 0, -128, 0, 0, 0, -58, 0, 0, 0, 34, 0, 0, 0, 64, 0, 0, 0, -60, 0, 0, 0, -64, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 81, 0, 0, 0, -126, 0, 0, 0, -82, 0, 0, 0, 112, 0, 0, 0, -74, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 22, 0, 0, 0, 66, 0, 0, 0, -20, 0, 0, 0, 106, 0, 0, 0, 0, 0, 0, 0, 34, 0, 0, 0, -114, 0, 0, 0, 80, 0, 0, 0, 209, 0, 0, 0, 50, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, -20, 0, 0, 0, -80, 0, 0, 0, 62, 0, 0, 0, 122, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 122, 0, 0, 0, 86, 0, 0, 0, 80, 0, 0, 0, 112, 0, 0, 0, -54, 0, 0, 0, -90, 0, 0, 0, 160, 0, 0, 0, 183, 0, 0, 0, -92, 0, 0, 0, 54, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -46, 0, 0, 0, -80, 0, 0, 0, 10, 0, 0, 0, -26, 0, 0, 0, 210, 0, 0, 0, 62, 0, 0, 0, 80, 0, 0, 0, 16, 0, 0, 0, 18, 0, 0, 0, -166, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, -96, 0, 0, 0, -1, 0, 0, 0, 84, 0, 0, 0, -170, 0, 0, 0, 16, 0, 0, 0, 126, 0, 0, 0, 74, 0, 0, 0, -96, 0, 0, 0, 16, 0, 0, 0, -80, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 132, 0, 0, 0, -192, 0, 0, 0, 100, 0, 0, 0, -112, 0, 0, 0, 144, 0, 0, 0, -4, 0, 0, 0, -70, 0, 0, 0, -160, 0, 0, 0, 176, 0, 0, 0, -18, 0, 0, 0, -144, 0, 0, 0, 291, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 154, 0, 0, 0, 76, 0, 0, 0, -206, 0, 0, 0, 160, 0, 0, 0, 10, 0, 0, 0, -144, 0, 0, 0, 20, 0, 0, 0, -98, 0, 0, 0, -16, 0, 0, 0, -26, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 198, 0, 0, 0, -64, 0, 0, 0, -130, 0, 0, 0, -262, 0, 0, 0, -16, 0, 0, 0, 2, 0, 0, 0, -2, 0, 0, 0, 32, 0, 0, 0, 239, 0, 0, 0, -12, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -218, 0, 0, 0, -416, 0, 0, 0, -48, 0, 0, 0, -86, 0, 0, 0, -58, 0, 0, 0, 18, 0, 0, 0, 144, 0, 0, 0, -272, 0, 0, 0, -10, 0, 0, 0, -278, 0, 0, 0, 48, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -116, 0, 0, 0, -302, 0, 0, 0, 160, 0, 0, 0, 146, 0, 0, 0, -32, 0, 0, 0, -208, 0, 0, 0, -80, 0, 0, 0, -594, 0, 0, 0, 223, 0, 0, 0, 74, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 80, 0, 0, 0, 16, 0, 0, 0, -278, 0, 0, 0, 174, 0, 0, 0, 4, 0, 0, 0, -26, 0, 0, 0, 258, 0, 0, 0, 48, 0, 0, 0, -96, 0, 0, 0, -36, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -446, 0, 0, 0, 230, 0, 0, 0, -48, 0, 0, 0, 62, 0, 0, 0, -176, 0, 0, 0, 96, 0, 0, 0, 210, 0, 0, 0, 208, 0, 0, 0, -118, 0, 0, 0, -122, 0, 0, 0, 64, 0, 0, 0, -59, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 2, 0, 0, 0, -114, 0, 0, 0, 272, 0, 0, 0, -68, 0, 0, 0, -208, 0, 0, 0, 30, 0, 0, 0, 10, 0, 0, 0, 182, 0, 0, 0, -64, 0, 0, 0, 240, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -148, 0, 0, 0, -164, 0, 0, 0, 282, 0, 0, 0, 224, 0, 0, 0, 240, 0, 0, 0, 16, 0, 0, 0, -66, 0, 0, 0, -90, 0, 0, 0, 304, 0, 0, 0, 78, 0, 0, 0, -166, 0, 0, 0, 496, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, 352, 0, 0, 0, 315, 0, 0, 0, -452, 0, 0, 0, 160, 0, 0, 0, 48, 0, 0, 0, -170, 0, 0, 0, -142, 0, 0, 0, 76, 0, 0, 0, 48, 0, 0, 0, -64, 0, 0, 0, -94, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1258420
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '416.2.f.a', 'target_level': 416, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1258421
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '416.2.f.c', 'target_level': 416, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1258422
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '832.2.f.a', 'target_level': 832, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '104.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1258423
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '832.2.f.e', 'target_level': 832, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '104.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1258424
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3744.2.c.b', 'target_level': 3744, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1258425
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3744.2.c.c', 'target_level': 3744, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1258426
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5408.2.a.a', 'target_level': 5408, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1258427
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '5408.2.a.b', 'target_level': 5408, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1258428
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5408.2.a.l', 'target_level': 5408, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1258429
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '5408.2.a.l', 'source_level': 5408, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5408.2.a.m', 'target_level': 5408, 'twist_class_label': '416.2.f.a', 'twist_class_level': 416, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3888000
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 2}
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id: 3888001
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 3}
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id: 3888002
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 5}
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id: 3888003
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 7}
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id: 3888004
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 11}
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id: 3888005
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 13}
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id: 3888006
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 17}
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id: 3888007
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 19}
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id: 3888008
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 23}
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id: 3888009
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 29}
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id: 3888010
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 31}
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id: 3888011
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 37}
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id: 3888012
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 41}
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id: 3888013
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 43}
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id: 3888014
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 47}
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id: 3888015
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 53}
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id: 3888016
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 59}
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id: 3888017
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 61}
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id: 3888018
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 67}
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id: 3888019
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 71}
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id: 3888020
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 73}
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id: 3888021
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 79}
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id: 3888022
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 83}
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id: 3888023
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 89}
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id: 3888024
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595934635296, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '5408.2.a.l', 'level': 5408, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 56103883
{'hecke_orbit_code': 49539595934635296, 'n': 1, 'trace_an': 1}
-
id: 56103884
{'hecke_orbit_code': 49539595934635296, 'n': 2, 'trace_an': 0}
-
id: 56103885
{'hecke_orbit_code': 49539595934635296, 'n': 3, 'trace_an': 3}
-
id: 56103886
{'hecke_orbit_code': 49539595934635296, 'n': 4, 'trace_an': 0}
-
id: 56103887
{'hecke_orbit_code': 49539595934635296, 'n': 5, 'trace_an': -3}
-
id: 56103888
{'hecke_orbit_code': 49539595934635296, 'n': 6, 'trace_an': 0}
-
id: 56103889
{'hecke_orbit_code': 49539595934635296, 'n': 7, 'trace_an': 1}
-
id: 56103890
{'hecke_orbit_code': 49539595934635296, 'n': 8, 'trace_an': 0}
-
id: 56103891
{'hecke_orbit_code': 49539595934635296, 'n': 9, 'trace_an': 6}
-
id: 56103892
{'hecke_orbit_code': 49539595934635296, 'n': 10, 'trace_an': 0}
-
id: 56103893
{'hecke_orbit_code': 49539595934635296, 'n': 11, 'trace_an': -4}
-
id: 56103894
{'hecke_orbit_code': 49539595934635296, 'n': 12, 'trace_an': 0}
-
id: 56103895
{'hecke_orbit_code': 49539595934635296, 'n': 13, 'trace_an': 0}
-
id: 56103896
{'hecke_orbit_code': 49539595934635296, 'n': 14, 'trace_an': 0}
-
id: 56103897
{'hecke_orbit_code': 49539595934635296, 'n': 15, 'trace_an': -9}
-
id: 56103898
{'hecke_orbit_code': 49539595934635296, 'n': 16, 'trace_an': 0}
-
id: 56103899
{'hecke_orbit_code': 49539595934635296, 'n': 17, 'trace_an': 5}
-
id: 56103900
{'hecke_orbit_code': 49539595934635296, 'n': 18, 'trace_an': 0}
-
id: 56103901
{'hecke_orbit_code': 49539595934635296, 'n': 19, 'trace_an': -6}
-
id: 56103902
{'hecke_orbit_code': 49539595934635296, 'n': 20, 'trace_an': 0}
-
id: 56103903
{'hecke_orbit_code': 49539595934635296, 'n': 21, 'trace_an': 3}
-
id: 56103904
{'hecke_orbit_code': 49539595934635296, 'n': 22, 'trace_an': 0}
-
id: 56103905
{'hecke_orbit_code': 49539595934635296, 'n': 23, 'trace_an': -6}
-
id: 56103906
{'hecke_orbit_code': 49539595934635296, 'n': 24, 'trace_an': 0}
-
id: 56103907
{'hecke_orbit_code': 49539595934635296, 'n': 25, 'trace_an': 4}
-
id: 56103908
{'hecke_orbit_code': 49539595934635296, 'n': 26, 'trace_an': 0}
-
id: 56103909
{'hecke_orbit_code': 49539595934635296, 'n': 27, 'trace_an': 9}
-
id: 56103910
{'hecke_orbit_code': 49539595934635296, 'n': 28, 'trace_an': 0}
-
id: 56103911
{'hecke_orbit_code': 49539595934635296, 'n': 29, 'trace_an': -4}
-
id: 56103912
{'hecke_orbit_code': 49539595934635296, 'n': 30, 'trace_an': 0}
-
id: 56103913
{'hecke_orbit_code': 49539595934635296, 'n': 31, 'trace_an': 0}
-
id: 56103914
{'hecke_orbit_code': 49539595934635296, 'n': 32, 'trace_an': 0}
-
id: 56103915
{'hecke_orbit_code': 49539595934635296, 'n': 33, 'trace_an': -12}
-
id: 56103916
{'hecke_orbit_code': 49539595934635296, 'n': 34, 'trace_an': 0}
-
id: 56103917
{'hecke_orbit_code': 49539595934635296, 'n': 35, 'trace_an': -3}
-
id: 56103918
{'hecke_orbit_code': 49539595934635296, 'n': 36, 'trace_an': 0}
-
id: 56103919
{'hecke_orbit_code': 49539595934635296, 'n': 37, 'trace_an': -3}
-
id: 56103920
{'hecke_orbit_code': 49539595934635296, 'n': 38, 'trace_an': 0}
-
id: 56103921
{'hecke_orbit_code': 49539595934635296, 'n': 39, 'trace_an': 0}
-
id: 56103922
{'hecke_orbit_code': 49539595934635296, 'n': 40, 'trace_an': 0}
-
id: 56103923
{'hecke_orbit_code': 49539595934635296, 'n': 41, 'trace_an': 12}
-
id: 56103924
{'hecke_orbit_code': 49539595934635296, 'n': 42, 'trace_an': 0}
-
id: 56103925
{'hecke_orbit_code': 49539595934635296, 'n': 43, 'trace_an': -3}
-
id: 56103926
{'hecke_orbit_code': 49539595934635296, 'n': 44, 'trace_an': 0}
-
id: 56103927
{'hecke_orbit_code': 49539595934635296, 'n': 45, 'trace_an': -18}
-
id: 56103928
{'hecke_orbit_code': 49539595934635296, 'n': 46, 'trace_an': 0}
-
id: 56103929
{'hecke_orbit_code': 49539595934635296, 'n': 47, 'trace_an': -7}
-
id: 56103930
{'hecke_orbit_code': 49539595934635296, 'n': 48, 'trace_an': 0}
-
id: 56103931
{'hecke_orbit_code': 49539595934635296, 'n': 49, 'trace_an': -6}
-
id: 56103932
{'hecke_orbit_code': 49539595934635296, 'n': 50, 'trace_an': 0}
-
id: 56103933
{'hecke_orbit_code': 49539595934635296, 'n': 51, 'trace_an': 15}
-
id: 56103934
{'hecke_orbit_code': 49539595934635296, 'n': 52, 'trace_an': 0}
-
id: 56103935
{'hecke_orbit_code': 49539595934635296, 'n': 53, 'trace_an': -2}
-
id: 56103936
{'hecke_orbit_code': 49539595934635296, 'n': 54, 'trace_an': 0}
-
id: 56103937
{'hecke_orbit_code': 49539595934635296, 'n': 55, 'trace_an': 12}
-
id: 56103938
{'hecke_orbit_code': 49539595934635296, 'n': 56, 'trace_an': 0}
-
id: 56103939
{'hecke_orbit_code': 49539595934635296, 'n': 57, 'trace_an': -18}
-
id: 56103940
{'hecke_orbit_code': 49539595934635296, 'n': 58, 'trace_an': 0}
-
id: 56103941
{'hecke_orbit_code': 49539595934635296, 'n': 59, 'trace_an': 2}
-
id: 56103942
{'hecke_orbit_code': 49539595934635296, 'n': 60, 'trace_an': 0}
-
id: 56103943
{'hecke_orbit_code': 49539595934635296, 'n': 61, 'trace_an': -12}
-
id: 56103944
{'hecke_orbit_code': 49539595934635296, 'n': 62, 'trace_an': 0}
-
id: 56103945
{'hecke_orbit_code': 49539595934635296, 'n': 63, 'trace_an': 6}
-
id: 56103946
{'hecke_orbit_code': 49539595934635296, 'n': 64, 'trace_an': 0}
-
id: 56103947
{'hecke_orbit_code': 49539595934635296, 'n': 65, 'trace_an': 0}
-
id: 56103948
{'hecke_orbit_code': 49539595934635296, 'n': 66, 'trace_an': 0}
-
id: 56103949
{'hecke_orbit_code': 49539595934635296, 'n': 67, 'trace_an': -4}
-
id: 56103950
{'hecke_orbit_code': 49539595934635296, 'n': 68, 'trace_an': 0}
-
id: 56103951
{'hecke_orbit_code': 49539595934635296, 'n': 69, 'trace_an': -18}
-
id: 56103952
{'hecke_orbit_code': 49539595934635296, 'n': 70, 'trace_an': 0}
-
id: 56103953
{'hecke_orbit_code': 49539595934635296, 'n': 71, 'trace_an': 11}
-
id: 56103954
{'hecke_orbit_code': 49539595934635296, 'n': 72, 'trace_an': 0}
-
id: 56103955
{'hecke_orbit_code': 49539595934635296, 'n': 73, 'trace_an': 6}
-
id: 56103956
{'hecke_orbit_code': 49539595934635296, 'n': 74, 'trace_an': 0}
-
id: 56103957
{'hecke_orbit_code': 49539595934635296, 'n': 75, 'trace_an': 12}
-
id: 56103958
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