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{'Nk2': 30976, 'analytic_conductor': 61.83615132527953, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [11, -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': [7744, 1, [5567, 4357, 6657], [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, [2, 1]], [5, [1, 1]], [7, [-2, 1]], [13, [1, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543044160, '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': '7744.2.a.e', 'level': 7744, '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, 11], 'level_radical': 22, 'minimal_twist': '3872.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{3}-q^{5}+2q^{7}+q^{9}-q^{13}+2q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/7744/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7744.2.a', 'trace_display': [0, -2, -1, 2], 'trace_hash': 1289383487421829120, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '0.999', 'prec': 10}, 0, {'__RealLiteral__': 0, 'data': '1.975', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '4.935', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-2], [0], [-1], [0], [2], [0], [1], [0], [0], [0], [-1], [0], [2], [0], [3], [0], [-2], [0], [-4], [0], [-6], [0], [-4], [0], [4], [0], [-1], [0], [10], [0], [0], [0], [-2], [0], [3], [0], [2], [0], [11], [0], [-12], [0], [-1], [0], [10], [0], [-3], [0], [-6], [0], [-9], [0], [0], [0], [4], [0], [4], [0], [-6], [0], [2], [0], [1], [0], [2], [0], [12], [0], [-8], [0], [-10], [0], [8], [0], [0], [0], [-2], [0], [-11], [0], [14], [0], [-3], [0], [2], [0], [-1], [0], [-2], [0], [-20], [0], [2], [0], [11], [0], [0], [0]], 'ap': [[0], [-2], [-1], [2], [0], [-1], [3], [-2], [-6], [-1], [10], [3], [11], [-12], [10], [-9], [4], [-6], [2], [-8], [-10], [-2], [14], [-1], [11], [-6], [8], [2], [-13], [-1], [4], [-8], [-2], [14], [15], [4], [14], [14], [-12], [-14], [20], [-17], [-12], [27], [-13], [12], [24], [8], [12], [-9], [3], [-18], [-10], [-14], [-21], [-26], [-17], [-16], [-25], [6], [20], [-17], [14], [-28], [-17], [-30], [-20], [3], [-28], [19], [-33], [10], [-22], [-14], [-16], [-12], [-5], [-13], [-9], [3], [6], [35], [20], [35], [34], [-28], [3], [15], [15], [8], [28], [-32], [-26], [2], [-4], [-30], [-38], [-10], [0], [-2], [-28], [-14], [42], [-26], [-34], [-29], [22], [-21], [-30], [11], [34], [31], [-17], [-38], [-38], [31], [22], [8], [-18], [-30], [-5], [-2], [51], [-6], [-44], [-1], [50], [-6], [-46], [-33], [10], [-46], [-8], [43], [3], [-29], [2], [-16], [2], [-42], [-4], [42], [-12], [14], [-25], [18], [-25], [10], [-4], [-18], [27], [-21], [-8], [6], [24], [24], [20], [-13], [47], [3], [-18], [-9], [-50], [34], [23], [-16], [40], [19], [-25], [-22], [46], [10], [54], [19], [26], [-25], [28], [3], [16], [47], [18], [-30], [-14], [-41], [-32], [-10], [-61], [0], [19], [-14], [-14], [50], [-24], [3], [-26], [43], [31], [2], [23], [0], [-30], [-36], [27], [35], [-36], [-30], [-36], [2], [-45], [38], [15], [-57], [12], [46], [-50], [35], [38], [-18], [-30], [-33], [-29], [-6], [-33], [22], [-40], [-65], [-9], [54], [2], [-42], [59], [44], [68], [-21], [28], [-10], [6], [-45], [24], [-28], [54], [-8], [68], [-57], [-14], [-66], [22], [-24], [-54], [-24], [-2], [23], [48], [-53], [-1], [-12], [-17], [-36], [47], [62], [10], [-46], [-25], [30], [-33], [-2], [66], [70], [-58], [74], [7], [0], [35], [10], [22], [-56], [32], [51], [10], [-22], [28], [-68], [78], [19], [-50], [-82], [-18], [54], [-34], [-61], [-25], [46], [71], [64], [-54], [-6], [10], [31], [16], [38], [42], [-5], [26], [84], [-62], [-14], [40], [51], [-50], [-33], [6], [-85], [3], [-70], [52], [11], [2], [48], [62], [11], [-16], [-73], [15], [-88], [59], [-2], [0], [28], [72], [-1], [-53], [-22], [-56], [66], [-90], [14], [19], [78], [19], [64], [-5], [-6], [-65], [80], [30], [80], [-5], [-82], [40], [-57], [-38], [-18], [-1], [0], [-41], [63], [-2], [40], [-45], [4], [-30], [22], [60], [-66], [-74], [-1], [-21], [52], [75], [-10], [-16], [6], [15], [-4], [-41], [-30], [-50], [79], [-69], [-18], [-94], [27], [20], [18], [-54], [42], [-62], [23], [52], [-60], [-82], [66], [-30], [-46], [4], [-58], [-12], [15], [34], [-33], [-45], [-33], [0], [-54], [70], [42], [75], [95], [46], [-8], [55], [51], [-26], [14], [7], [-101], [-6], [82], [-66], [-38], [39], [74], [42], [56], [55], [-41], [-36], [38], [4], [-108]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 18014398543044160, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7744.2.a.e', 'level': 7744, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [49, 55, 55, 50], 'ALdims_eis_new': [4, 5, 4, 5], 'ALdims_eis_old': [31, 31, 32, 31], 'ALdims_old': [192, 197, 197, 190], 'Nk2': 30976, 'analytic_conductor': 61.83615132527953, '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': [7744, 1, [5567, 4357, 6657], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 985, 'dim': 209, 'eis_dim': 143, 'eis_new_dim': 18, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33562176, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '7744.2.a', 'level': 7744, '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, 11], 'level_radical': 22, 'mf_dim': 1128, 'mf_new_dim': 227, 'num_forms': 101, 'plus_dim': 99, 'prim_orbit_index': 1, 'relative_dim': 209, 'sturm_bound': 2112, 'trace_bound': 13, 'trace_display': [0, 0, -2, 0], 'traces': [209, 0, 0, 0, -2, 0, 0, 0, 193, 0, 0, 0, -10, 0, 0, 0, 6, 0, 0, 0, -16, 0, 0, 0, 179, 0, 0, 0, -10, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, -2, 0, 0, 0, 26, 0, 0, 0, 157, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 12, 0, 0, 0, 32, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 153, 0, 0, 0, 28, 0, 0, 0, -6, 0, 0, 0, 32, 0, 0, 0, -10, 0, 0, 0, 46, 0, 0, 0, 32, 0, 0, 0, -26, 0, 0, 0, 6, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 32, 0, 0, 0, -12, 0, 0, 0, 30, 0, 0, 0, 140, 0, 0, 0, 12, 0, 0, 0, 62, 0, 0, 0, 46, 0, 0, 0, -42, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 107, 0, 0, 0, 70, 0, 0, 0, -20, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 16, 0, 0, 0, 22, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 171, 0, 0, 0, -2, 0, 0, 0, 30, 0, 0, 0, -80, 0, 0, 0, -58, 0, 0, 0, 18, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, -66, 0, 0, 0, -56, 0, 0, 0, 6, 0, 0, 0, -28, 0, 0, 0, -130, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 44, 0, 0, 0, 100, 0, 0, 0, -18, 0, 0, 0, -122, 0, 0, 0, -96, 0, 0, 0, -118, 0, 0, 0, -32, 0, 0, 0, 54, 0, 0, 0, -58, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -90, 0, 0, 0, -62, 0, 0, 0, 76, 0, 0, 0, -47, 0, 0, 0, 28, 0, 0, 0, -26, 0, 0, 0, -98, 0, 0, 0, -68, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -178, 0, 0, 0, -32, 0, 0, 0, -6, 0, 0, 0, 6, 0, 0, 0, 10, 0, 0, 0, -18, 0, 0, 0, 112, 0, 0, 0, -32, 0, 0, 0, 30, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 32, 0, 0, 0, 65, 0, 0, 0, 12, 0, 0, 0, 22, 0, 0, 0, 272, 0, 0, 0, -34, 0, 0, 0, -122, 0, 0, 0, -68, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 378, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -68, 0, 0, 0, 6, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 32, 0, 0, 0, -71, 0, 0, 0, 92, 0, 0, 0, -60, 0, 0, 0, -26, 0, 0, 0, -84, 0, 0, 0, 174, 0, 0, 0, 32, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 332, 0, 0, 0, 78, 0, 0, 0, 132, 0, 0, 0, -138, 0, 0, 0, -16, 0, 0, 0, 124, 0, 0, 0, -160, 0, 0, 0, 38, 0, 0, 0, -96, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -18, 0, 0, 0, 10, 0, 0, 0, -16, 0, 0, 0, 53, 0, 0, 0, -260, 0, 0, 0, 64, 0, 0, 0, 6, 0, 0, 0, 86, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -122, 0, 0, 0, -58, 0, 0, 0, 98, 0, 0, 0, -108, 0, 0, 0, -116, 0, 0, 0, 182, 0, 0, 0, -194, 0, 0, 0, -32, 0, 0, 0, 240, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -10, 0, 0, 0, 108, 0, 0, 0, -2, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, -214, 0, 0, 0, 73, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, -300, 0, 0, 0, 92, 0, 0, 0, -28, 0, 0, 0, -32, 0, 0, 0, 30, 0, 0, 0, -82, 0, 0, 0, 124, 0, 0, 0, -10, 0, 0, 0, 206, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 48, 0, 0, 0, 72, 0, 0, 0, -122, 0, 0, 0, -134, 0, 0, 0, 336, 0, 0, 0, -2, 0, 0, 0, 96, 0, 0, 0, -96, 0, 0, 0, -194, 0, 0, 0, 0, 0, 0, 0, 214, 0, 0, 0, 86, 0, 0, 0, -172, 0, 0, 0, 59, 0, 0, 0, 114, 0, 0, 0, 32, 0, 0, 0, 302, 0, 0, 0, 46, 0, 0, 0, -176, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -150, 0, 0, 0, 70, 0, 0, 0, -78, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 96, 0, 0, 0, 204, 0, 0, 0, -72, 0, 0, 0, 70, 0, 0, 0, 0, 0, 0, 0, 496, 0, 0, 0, -224, 0, 0, 0, 70, 0, 0, 0, 214, 0, 0, 0, 124, 0, 0, 0, -162, 0, 0, 0, -250, 0, 0, 0, 96, 0, 0, 0, -164, 0, 0, 0, 174, 0, 0, 0, 0, 0, 0, 0, -123, 0, 0, 0, -20, 0, 0, 0, -20, 0, 0, 0, 156, 0, 0, 0, -122, 0, 0, 0, -482, 0, 0, 0, -68, 0, 0, 0, 16, 0, 0, 0, -192, 0, 0, 0, 206, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1362103
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '7744.2.a.e', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '3872.2.a.b', 'target_level': 3872, 'twist_class_label': '3872.2.a.b', 'twist_class_level': 3872, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1362104
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '7744.2.a.e', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '3872.2.a.c', 'target_level': 3872, 'twist_class_label': '3872.2.a.b', 'twist_class_level': 3872, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1362105
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '7744.2.a.e', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '3872.2.a.k', 'target_level': 3872, 'twist_class_label': '3872.2.a.b', 'twist_class_level': 3872, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362106
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '7744.2.a.e', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '3872.2.a.l', 'target_level': 3872, 'twist_class_label': '3872.2.a.b', 'twist_class_level': 3872, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362107
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '7744.2.a.e', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '7744.2.a.d', 'target_level': 7744, 'twist_class_label': '3872.2.a.b', 'twist_class_level': 3872, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362108
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '7744.2.a.e', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7744.2.a.e', 'target_level': 7744, 'twist_class_label': '3872.2.a.b', 'twist_class_level': 3872, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1362109
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '7744.2.a.e', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '7744.2.a.bd', 'target_level': 7744, 'twist_class_label': '3872.2.a.b', 'twist_class_level': 3872, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362110
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '7744.2.a.e', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7744.2.a.bg', 'target_level': 7744, 'twist_class_label': '3872.2.a.b', 'twist_class_level': 3872, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4559250
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 2}
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id: 4559251
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 3}
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id: 4559252
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 5}
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id: 4559253
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 7}
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id: 4559254
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 11}
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id: 4559255
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 13}
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id: 4559256
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 17}
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id: 4559257
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 19}
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id: 4559258
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 23}
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id: 4559259
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 29}
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id: 4559260
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 31}
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id: 4559261
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 37}
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id: 4559262
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 41}
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id: 4559263
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 43}
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id: 4559264
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 47}
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id: 4559265
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 53}
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id: 4559266
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 59}
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id: 4559267
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 61}
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id: 4559268
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 67}
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id: 4559269
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 71}
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id: 4559270
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 73}
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id: 4559271
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 79}
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id: 4559272
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 83}
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id: 4559273
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 89}
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id: 4559274
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 18014398543044160, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '7744.2.a.e', 'level': 7744, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
Showing the first 100 of 258 matching records in this table.
-
id: 39322531
{'hecke_orbit_code': 18014398543044160, 'n': 1, 'trace_an': 1}
-
id: 39322532
{'hecke_orbit_code': 18014398543044160, 'n': 2, 'trace_an': 0}
-
id: 39322533
{'hecke_orbit_code': 18014398543044160, 'n': 3, 'trace_an': -2}
-
id: 39322534
{'hecke_orbit_code': 18014398543044160, 'n': 4, 'trace_an': 0}
-
id: 39322535
{'hecke_orbit_code': 18014398543044160, 'n': 5, 'trace_an': -1}
-
id: 39322536
{'hecke_orbit_code': 18014398543044160, 'n': 6, 'trace_an': 0}
-
id: 39322537
{'hecke_orbit_code': 18014398543044160, 'n': 7, 'trace_an': 2}
-
id: 39322538
{'hecke_orbit_code': 18014398543044160, 'n': 8, 'trace_an': 0}
-
id: 39322539
{'hecke_orbit_code': 18014398543044160, 'n': 9, 'trace_an': 1}
-
id: 39322540
{'hecke_orbit_code': 18014398543044160, 'n': 10, 'trace_an': 0}
-
id: 39322541
{'hecke_orbit_code': 18014398543044160, 'n': 11, 'trace_an': 0}
-
id: 39322542
{'hecke_orbit_code': 18014398543044160, 'n': 12, 'trace_an': 0}
-
id: 39322543
{'hecke_orbit_code': 18014398543044160, 'n': 13, 'trace_an': -1}
-
id: 39322544
{'hecke_orbit_code': 18014398543044160, 'n': 14, 'trace_an': 0}
-
id: 39322545
{'hecke_orbit_code': 18014398543044160, 'n': 15, 'trace_an': 2}
-
id: 39322546
{'hecke_orbit_code': 18014398543044160, 'n': 16, 'trace_an': 0}
-
id: 39322547
{'hecke_orbit_code': 18014398543044160, 'n': 17, 'trace_an': 3}
-
id: 39322548
{'hecke_orbit_code': 18014398543044160, 'n': 18, 'trace_an': 0}
-
id: 39322549
{'hecke_orbit_code': 18014398543044160, 'n': 19, 'trace_an': -2}
-
id: 39322550
{'hecke_orbit_code': 18014398543044160, 'n': 20, 'trace_an': 0}
-
id: 39322551
{'hecke_orbit_code': 18014398543044160, 'n': 21, 'trace_an': -4}
-
id: 39322552
{'hecke_orbit_code': 18014398543044160, 'n': 22, 'trace_an': 0}
-
id: 39322553
{'hecke_orbit_code': 18014398543044160, 'n': 23, 'trace_an': -6}
-
id: 39322554
{'hecke_orbit_code': 18014398543044160, 'n': 24, 'trace_an': 0}
-
id: 39322555
{'hecke_orbit_code': 18014398543044160, 'n': 25, 'trace_an': -4}
-
id: 39322556
{'hecke_orbit_code': 18014398543044160, 'n': 26, 'trace_an': 0}
-
id: 39322557
{'hecke_orbit_code': 18014398543044160, 'n': 27, 'trace_an': 4}
-
id: 39322558
{'hecke_orbit_code': 18014398543044160, 'n': 28, 'trace_an': 0}
-
id: 39322559
{'hecke_orbit_code': 18014398543044160, 'n': 29, 'trace_an': -1}
-
id: 39322560
{'hecke_orbit_code': 18014398543044160, 'n': 30, 'trace_an': 0}
-
id: 39322561
{'hecke_orbit_code': 18014398543044160, 'n': 31, 'trace_an': 10}
-
id: 39322562
{'hecke_orbit_code': 18014398543044160, 'n': 32, 'trace_an': 0}
-
id: 39322563
{'hecke_orbit_code': 18014398543044160, 'n': 33, 'trace_an': 0}
-
id: 39322564
{'hecke_orbit_code': 18014398543044160, 'n': 34, 'trace_an': 0}
-
id: 39322565
{'hecke_orbit_code': 18014398543044160, 'n': 35, 'trace_an': -2}
-
id: 39322566
{'hecke_orbit_code': 18014398543044160, 'n': 36, 'trace_an': 0}
-
id: 39322567
{'hecke_orbit_code': 18014398543044160, 'n': 37, 'trace_an': 3}
-
id: 39322568
{'hecke_orbit_code': 18014398543044160, 'n': 38, 'trace_an': 0}
-
id: 39322569
{'hecke_orbit_code': 18014398543044160, 'n': 39, 'trace_an': 2}
-
id: 39322570
{'hecke_orbit_code': 18014398543044160, 'n': 40, 'trace_an': 0}
-
id: 39322571
{'hecke_orbit_code': 18014398543044160, 'n': 41, 'trace_an': 11}
-
id: 39322572
{'hecke_orbit_code': 18014398543044160, 'n': 42, 'trace_an': 0}
-
id: 39322573
{'hecke_orbit_code': 18014398543044160, 'n': 43, 'trace_an': -12}
-
id: 39322574
{'hecke_orbit_code': 18014398543044160, 'n': 44, 'trace_an': 0}
-
id: 39322575
{'hecke_orbit_code': 18014398543044160, 'n': 45, 'trace_an': -1}
-
id: 39322576
{'hecke_orbit_code': 18014398543044160, 'n': 46, 'trace_an': 0}
-
id: 39322577
{'hecke_orbit_code': 18014398543044160, 'n': 47, 'trace_an': 10}
-
id: 39322578
{'hecke_orbit_code': 18014398543044160, 'n': 48, 'trace_an': 0}
-
id: 39322579
{'hecke_orbit_code': 18014398543044160, 'n': 49, 'trace_an': -3}
-
id: 39322580
{'hecke_orbit_code': 18014398543044160, 'n': 50, 'trace_an': 0}
-
id: 39322581
{'hecke_orbit_code': 18014398543044160, 'n': 51, 'trace_an': -6}
-
id: 39322582
{'hecke_orbit_code': 18014398543044160, 'n': 52, 'trace_an': 0}
-
id: 39322583
{'hecke_orbit_code': 18014398543044160, 'n': 53, 'trace_an': -9}
-
id: 39322584
{'hecke_orbit_code': 18014398543044160, 'n': 54, 'trace_an': 0}
-
id: 39322585
{'hecke_orbit_code': 18014398543044160, 'n': 55, 'trace_an': 0}
-
id: 39322586
{'hecke_orbit_code': 18014398543044160, 'n': 56, 'trace_an': 0}
-
id: 39322587
{'hecke_orbit_code': 18014398543044160, 'n': 57, 'trace_an': 4}
-
id: 39322588
{'hecke_orbit_code': 18014398543044160, 'n': 58, 'trace_an': 0}
-
id: 39322589
{'hecke_orbit_code': 18014398543044160, 'n': 59, 'trace_an': 4}
-
id: 39322590
{'hecke_orbit_code': 18014398543044160, 'n': 60, 'trace_an': 0}
-
id: 39322591
{'hecke_orbit_code': 18014398543044160, 'n': 61, 'trace_an': -6}
-
id: 39322592
{'hecke_orbit_code': 18014398543044160, 'n': 62, 'trace_an': 0}
-
id: 39322593
{'hecke_orbit_code': 18014398543044160, 'n': 63, 'trace_an': 2}
-
id: 39322594
{'hecke_orbit_code': 18014398543044160, 'n': 64, 'trace_an': 0}
-
id: 39322595
{'hecke_orbit_code': 18014398543044160, 'n': 65, 'trace_an': 1}
-
id: 39322596
{'hecke_orbit_code': 18014398543044160, 'n': 66, 'trace_an': 0}
-
id: 39322597
{'hecke_orbit_code': 18014398543044160, 'n': 67, 'trace_an': 2}
-
id: 39322598
{'hecke_orbit_code': 18014398543044160, 'n': 68, 'trace_an': 0}
-
id: 39322599
{'hecke_orbit_code': 18014398543044160, 'n': 69, 'trace_an': 12}
-
id: 39322600
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id: 39322601
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id: 39322602
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id: 39322603
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id: 39322604
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id: 39322605
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id: 39322606
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id: 39322607
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id: 39322608
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id: 39322609
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id: 39322610
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id: 39322611
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id: 39322612
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id: 39322613
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id: 39322614
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id: 39322615
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id: 39322616
{'hecke_orbit_code': 18014398543044160, 'n': 86, 'trace_an': 0}
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id: 39322617
{'hecke_orbit_code': 18014398543044160, 'n': 87, 'trace_an': 2}
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id: 39322618
{'hecke_orbit_code': 18014398543044160, 'n': 88, 'trace_an': 0}
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id: 39322619
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id: 39322620
{'hecke_orbit_code': 18014398543044160, 'n': 90, 'trace_an': 0}
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id: 39322621
{'hecke_orbit_code': 18014398543044160, 'n': 91, 'trace_an': -2}
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id: 39322622
{'hecke_orbit_code': 18014398543044160, 'n': 92, 'trace_an': 0}
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id: 39322623
{'hecke_orbit_code': 18014398543044160, 'n': 93, 'trace_an': -20}
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id: 39322624
{'hecke_orbit_code': 18014398543044160, 'n': 94, 'trace_an': 0}
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id: 39322625
{'hecke_orbit_code': 18014398543044160, 'n': 95, 'trace_an': 2}
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id: 39322626
{'hecke_orbit_code': 18014398543044160, 'n': 96, 'trace_an': 0}
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id: 39322627
{'hecke_orbit_code': 18014398543044160, 'n': 97, 'trace_an': 11}
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id: 39322628
{'hecke_orbit_code': 18014398543044160, 'n': 98, 'trace_an': 0}
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id: 39322629
{'hecke_orbit_code': 18014398543044160, 'n': 99, 'trace_an': 0}
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id: 39322630
{'hecke_orbit_code': 18014398543044160, 'n': 100, 'trace_an': 0}