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mf_newforms • Show schema
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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, [3, 1]], [5, [1, 1]], [7, [0, 1]], [13, [6, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33562176, '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.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, 'minimal_twist': '352.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}-q^{5}+6q^{9}-6q^{13}+3q^{15}+\\cdots', 'related_objects': ['EllipticCurve/Q/7744/a'], '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, -3, -1, 0], 'trace_hash': 2186382235705342792, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.989', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-3], [0], [-1], [0], [0], [0], [6], [0], [0], [0], [-6], [0], [3], [0], [4], [0], [6], [0], [0], [0], [3], [0], [-4], [0], [-9], [0], [-4], [0], [-9], [0], [0], [0], [0], [0], [-7], [0], [18], [0], [2], [0], [6], [0], [-6], [0], [12], [0], [-7], [0], [-12], [0], [-2], [0], [0], [0], [-18], [0], [-9], [0], [8], [0], [0], [0], [6], [0], [15], [0], [-9], [0], [-3], [0], [6], [0], [12], [0], [0], [0], [6], [0], [9], [0], [-6], [0], [-4], [0], [12], [0], [-5], [0], [0], [0], [27], [0], [-6], [0], [-3], [0], [0], [0]], 'ap': [[0], [-3], [-1], [0], [0], [-6], [4], [6], [3], [-4], [-9], [-7], [2], [6], [12], [-2], [-9], [8], [15], [-3], [6], [6], [-6], [-5], [-3], [16], [0], [12], [-6], [1], [6], [12], [5], [-12], [-16], [6], [-13], [-12], [-18], [10], [15], [-3], [21], [-4], [22], [0], [12], [-21], [12], [-15], [4], [6], [12], [-21], [14], [-24], [2], [6], [-6], [-10], [0], [-22], [6], [-24], [-1], [23], [-15], [-24], [6], [-28], [-5], [6], [15], [-4], [21], [-21], [-5], [34], [-22], [-18], [0], [-6], [12], [-11], [-36], [-9], [-17], [24], [-40], [-15], [15], [-6], [3], [-24], [-12], [-42], [1], [-31], [-30], [-6], [36], [-16], [0], [-44], [-12], [29], [-36], [-20], [-24], [-28], [18], [-16], [22], [-15], [15], [-37], [-21], [-3], [17], [-18], [23], [10], [-8], [36], [-33], [-40], [33], [27], [3], [48], [-6], [36], [-3], [-6], [26], [22], [-2], [-36], [-49], [-46], [30], [22], [-33], [-18], [-21], [-33], [46], [32], [27], [24], [14], [29], [12], [-6], [12], [0], [-30], [-22], [2], [-10], [15], [40], [-12], [-15], [-23], [-45], [0], [8], [54], [17], [30], [14], [54], [18], [-51], [-47], [48], [-23], [-60], [-44], [48], [30], [-33], [-10], [21], [14], [54], [36], [-12], [6], [21], [12], [15], [-38], [-54], [23], [40], [9], [-58], [-12], [-38], [30], [-42], [36], [-27], [-49], [21], [24], [4], [60], [16], [29], [-21], [-60], [12], [-17], [-6], [-64], [48], [5], [-18], [54], [-19], [-51], [66], [-26], [-46], [48], [-6], [18], [-9], [-18], [30], [28], [51], [-42], [57], [-46], [-15], [45], [-51], [0], [-24], [11], [-8], [-48], [0], [-36], [-54], [-54], [-24], [-44], [-3], [6], [4], [-24], [-30], [-24], [-65], [56], [-24], [6], [-36], [-56], [70], [-60], [29], [5], [6], [-34], [-77], [9], [66], [-42], [-66], [3], [-63], [62], [34], [-78], [-6], [69], [30], [26], [-72], [-27], [30], [-28], [-39], [-40], [59], [-48], [44], [-48], [-44], [-22], [33], [-7], [0], [30], [-4], [38], [72], [-36], [-27], [27], [-87], [51], [24], [38], [12], [-10], [74], [-45], [72], [-60], [45], [66], [-6], [-38], [42], [-59], [-52], [-27], [-26], [51], [-75], [-15], [66], [28], [6], [-22], [0], [-12], [-36], [-33], [-25], [-68], [-33], [-12], [35], [43], [10], [51], [-23], [18], [-27], [9], [-54], [85], [30], [-93], [-58], [36], [-32], [-26], [-27], [-42], [58], [-15], [46], [-4], [-9], [-60], [69], [17], [62], [-90], [-74], [3], [-96], [96], [38], [90], [3], [12], [-72], [2], [-38], [-96], [-22], [19], [36], [-44], [72], [27], [60], [-45], [6], [39], [-15], [5], [27], [-3], [-45], [-30], [-24], [-74], [-72], [46], [-40], [-11], [-48], [-50], [-16], [-12], [18], [94], [60], [57], [82], [-52], [84], [-36], [0], [-41], [12], [63], [46], [54], [-59], [-92], [48], [96], [-2], [61], [-3], [16], [-39], [0]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33562176, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7744.2.a.a', 'level': 7744, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [49, 55, 55, 50], '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: 1362040
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '352.2.a.a', 'target_level': 352, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1362041
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '352.2.a.f', 'target_level': 352, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362042
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '704.2.a.a', 'target_level': 704, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362043
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '704.2.a.k', 'target_level': 704, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1362044
{'conductor': 176, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2816.2.c.g', 'target_level': 2816, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '176.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1362045
{'conductor': 176, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2816.2.c.h', 'target_level': 2816, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '176.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1362046
{'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3168.2.a.h', 'target_level': 3168, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '264.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1362047
{'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3168.2.a.i', 'target_level': 3168, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '264.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1362048
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3872.2.a.a', 'target_level': 3872, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1362049
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3872.2.a.m', 'target_level': 3872, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362050
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '6336.2.a.bs', 'target_level': 6336, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1362051
{'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '6336.2.a.bt', 'target_level': 6336, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1362052
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '7744.2.a.a', 'target_level': 7744, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1362053
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7744.2.a.bj', 'target_level': 7744, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1362054
{'conductor': 440, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '8800.2.a.a', 'target_level': 8800, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '440.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1362055
{'conductor': 440, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '7744.2.a.a', 'source_level': 7744, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8800.2.a.bb', 'target_level': 8800, 'twist_class_label': '352.2.a.a', 'twist_class_level': 352, 'twisting_char_label': '440.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4559150
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 2}
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id: 4559151
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 3}
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id: 4559152
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 5}
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id: 4559153
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 7}
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id: 4559154
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 11}
-
id: 4559155
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 13}
-
id: 4559156
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 17}
-
id: 4559157
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 19}
-
id: 4559158
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 23}
-
id: 4559159
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 29}
-
id: 4559160
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 31}
-
id: 4559161
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 37}
-
id: 4559162
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 41}
-
id: 4559163
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 43}
-
id: 4559164
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 47}
-
id: 4559165
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 53}
-
id: 4559166
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 59}
-
id: 4559167
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 61}
-
id: 4559168
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 67}
-
id: 4559169
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 71}
-
id: 4559170
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 73}
-
id: 4559171
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 79}
-
id: 4559172
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 83}
-
id: 4559173
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 89}
-
id: 4559174
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 33562176, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '7744.2.a.a', 'level': 7744, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 1993050
{'hecke_orbit_code': 33562176, 'n': 1, 'trace_an': 1}
-
id: 1993051
{'hecke_orbit_code': 33562176, 'n': 2, 'trace_an': 0}
-
id: 1993052
{'hecke_orbit_code': 33562176, 'n': 3, 'trace_an': -3}
-
id: 1993053
{'hecke_orbit_code': 33562176, 'n': 4, 'trace_an': 0}
-
id: 1993054
{'hecke_orbit_code': 33562176, 'n': 5, 'trace_an': -1}
-
id: 1993055
{'hecke_orbit_code': 33562176, 'n': 6, 'trace_an': 0}
-
id: 1993056
{'hecke_orbit_code': 33562176, 'n': 7, 'trace_an': 0}
-
id: 1993057
{'hecke_orbit_code': 33562176, 'n': 8, 'trace_an': 0}
-
id: 1993058
{'hecke_orbit_code': 33562176, 'n': 9, 'trace_an': 6}
-
id: 1993059
{'hecke_orbit_code': 33562176, 'n': 10, 'trace_an': 0}
-
id: 1993060
{'hecke_orbit_code': 33562176, 'n': 11, 'trace_an': 0}
-
id: 1993061
{'hecke_orbit_code': 33562176, 'n': 12, 'trace_an': 0}
-
id: 1993062
{'hecke_orbit_code': 33562176, 'n': 13, 'trace_an': -6}
-
id: 1993063
{'hecke_orbit_code': 33562176, 'n': 14, 'trace_an': 0}
-
id: 1993064
{'hecke_orbit_code': 33562176, 'n': 15, 'trace_an': 3}
-
id: 1993065
{'hecke_orbit_code': 33562176, 'n': 16, 'trace_an': 0}
-
id: 1993066
{'hecke_orbit_code': 33562176, 'n': 17, 'trace_an': 4}
-
id: 1993067
{'hecke_orbit_code': 33562176, 'n': 18, 'trace_an': 0}
-
id: 1993068
{'hecke_orbit_code': 33562176, 'n': 19, 'trace_an': 6}
-
id: 1993069
{'hecke_orbit_code': 33562176, 'n': 20, 'trace_an': 0}
-
id: 1993070
{'hecke_orbit_code': 33562176, 'n': 21, 'trace_an': 0}
-
id: 1993071
{'hecke_orbit_code': 33562176, 'n': 22, 'trace_an': 0}
-
id: 1993072
{'hecke_orbit_code': 33562176, 'n': 23, 'trace_an': 3}
-
id: 1993073
{'hecke_orbit_code': 33562176, 'n': 24, 'trace_an': 0}
-
id: 1993074
{'hecke_orbit_code': 33562176, 'n': 25, 'trace_an': -4}
-
id: 1993075
{'hecke_orbit_code': 33562176, 'n': 26, 'trace_an': 0}
-
id: 1993076
{'hecke_orbit_code': 33562176, 'n': 27, 'trace_an': -9}
-
id: 1993077
{'hecke_orbit_code': 33562176, 'n': 28, 'trace_an': 0}
-
id: 1993078
{'hecke_orbit_code': 33562176, 'n': 29, 'trace_an': -4}
-
id: 1993079
{'hecke_orbit_code': 33562176, 'n': 30, 'trace_an': 0}
-
id: 1993080
{'hecke_orbit_code': 33562176, 'n': 31, 'trace_an': -9}
-
id: 1993081
{'hecke_orbit_code': 33562176, 'n': 32, 'trace_an': 0}
-
id: 1993082
{'hecke_orbit_code': 33562176, 'n': 33, 'trace_an': 0}
-
id: 1993083
{'hecke_orbit_code': 33562176, 'n': 34, 'trace_an': 0}
-
id: 1993084
{'hecke_orbit_code': 33562176, 'n': 35, 'trace_an': 0}
-
id: 1993085
{'hecke_orbit_code': 33562176, 'n': 36, 'trace_an': 0}
-
id: 1993086
{'hecke_orbit_code': 33562176, 'n': 37, 'trace_an': -7}
-
id: 1993087
{'hecke_orbit_code': 33562176, 'n': 38, 'trace_an': 0}
-
id: 1993088
{'hecke_orbit_code': 33562176, 'n': 39, 'trace_an': 18}
-
id: 1993089
{'hecke_orbit_code': 33562176, 'n': 40, 'trace_an': 0}
-
id: 1993090
{'hecke_orbit_code': 33562176, 'n': 41, 'trace_an': 2}
-
id: 1993091
{'hecke_orbit_code': 33562176, 'n': 42, 'trace_an': 0}
-
id: 1993092
{'hecke_orbit_code': 33562176, 'n': 43, 'trace_an': 6}
-
id: 1993093
{'hecke_orbit_code': 33562176, 'n': 44, 'trace_an': 0}
-
id: 1993094
{'hecke_orbit_code': 33562176, 'n': 45, 'trace_an': -6}
-
id: 1993095
{'hecke_orbit_code': 33562176, 'n': 46, 'trace_an': 0}
-
id: 1993096
{'hecke_orbit_code': 33562176, 'n': 47, 'trace_an': 12}
-
id: 1993097
{'hecke_orbit_code': 33562176, 'n': 48, 'trace_an': 0}
-
id: 1993098
{'hecke_orbit_code': 33562176, 'n': 49, 'trace_an': -7}
-
id: 1993099
{'hecke_orbit_code': 33562176, 'n': 50, 'trace_an': 0}
-
id: 1993100
{'hecke_orbit_code': 33562176, 'n': 51, 'trace_an': -12}
-
id: 1993101
{'hecke_orbit_code': 33562176, 'n': 52, 'trace_an': 0}
-
id: 1993102
{'hecke_orbit_code': 33562176, 'n': 53, 'trace_an': -2}
-
id: 1993103
{'hecke_orbit_code': 33562176, 'n': 54, 'trace_an': 0}
-
id: 1993104
{'hecke_orbit_code': 33562176, 'n': 55, 'trace_an': 0}
-
id: 1993105
{'hecke_orbit_code': 33562176, 'n': 56, 'trace_an': 0}
-
id: 1993106
{'hecke_orbit_code': 33562176, 'n': 57, 'trace_an': -18}
-
id: 1993107
{'hecke_orbit_code': 33562176, 'n': 58, 'trace_an': 0}
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