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mf_newforms • Show schema
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{'Nk2': 5888, 'analytic_conductor': 11.753979177532473, 'analytic_rank': 1, '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': [1472, 1, [1151, 645, 833], [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, [0, 1]], [7, [-2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288296896, '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': '1472.2.a.c', 'level': 1472, 'level_is_powerful': False, '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, 23], 'level_radical': 46, 'minimal_twist': '92.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+2q^{7}-2q^{9}+q^{13}-6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/1472/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1472.2.a', 'trace_display': [0, -1, 0, 2], 'trace_hash': 2013340366255007433, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.926', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.808', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [1, 0, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, 1, 0, 0, 0, -6, 0, -2, 0, -2, 0, -1, 0, -5, 0, 5, 0, 3, 0, 5, 0, 0, 0, 0, 0, -8, 0, -1, 0, 3, 0, -8, 0, 0, 0, 9, 0, -3, 0, 6, 0, -6, 0, 0, 0, 2, 0, 12, 0, -14, 0, -4, 0, 0, 0, -8, 0, 1, 0, -15, 0, -7, 0, 5, 0, 0, 0, -10, 0, 1, 0, -6, 0, 0, 0, -3, 0, 0, 0, 2, 0, -5, 0, 0, 0, -10, 0, 0, 0, -6, 0, 2, 0, 0, 0, 6, 0, 16, 0, 8, 0, 18, 0, 0, 0, -2, 0, -12, 0, -11, 0, -3, 0, 0, 0, 11, 0, 8, 0, -21, 0, -4, 0, 0, 0, -12, 0, -11, 0, -9, 0, 0, 0, 0, 0, 3, 0, -6, 0, -7, 0, 12, 0, 0, 0, 4, 0, 6, 0, -2, 0, 1, 0, 0, 0, 12, 0, -12, 0, 4, 0, -6, 0, -10, 0, -12, 0, 9, 0, 16, 0, 14, 0, 0, 0, 0, 0, 10, 0, 0, 0, -7, 0, 0, 0, 15, 0, -4, 0, 8, 0, 6, 0, 0, 0, 2, 0, 0, 0, 16, 0, 15, 0, 0, 0, 10, 0, 7, 0, -6, 0, 8, 0, 10, 0, -18, 0, 4, 0, 0, 0, -9, 0, 0, 0, 10, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [0], [0], [2], [0], [-2], [0], [0], [0], [1], [0], [0], [0], [-6], [0], [-2], [0], [-2], [0], [-1], [0], [-5], [0], [5], [0], [3], [0], [5], [0], [0], [0], [0], [0], [-8], [0], [-1], [0], [3], [0], [-8], [0], [0], [0], [9], [0], [-3], [0], [6], [0], [-6], [0], [0], [0], [2], [0], [12], [0], [-14], [0], [-4], [0], [0], [0], [-8], [0], [1], [0], [-15], [0], [-7], [0], [5], [0], [0], [0], [-10], [0], [1], [0], [-6], [0], [0], [0], [-3], [0], [0], [0], [2], [0], [-5], [0], [0], [0], [-10], [0], [0], [0]], 'ap': [[0], [-1], [0], [2], [0], [1], [-6], [-2], [-1], [3], [5], [-8], [3], [-8], [9], [-6], [12], [-14], [-8], [-15], [-7], [-10], [-6], [0], [-10], [-6], [2], [6], [16], [18], [11], [-21], [-12], [-11], [-6], [-7], [4], [1], [12], [-6], [9], [16], [0], [-7], [15], [-4], [16], [8], [-18], [4], [-9], [21], [-4], [18], [27], [-6], [15], [8], [19], [30], [4], [-12], [-20], [-15], [-4], [18], [25], [8], [12], [-29], [-27], [-30], [26], [-20], [28], [-36], [36], [-11], [24], [17], [-36], [-2], [12], [-16], [35], [-21], [6], [-10], [27], [-16], [30], [42], [23], [-3], [-5], [6], [3], [-24], [-38], [7], [1], [-24], [12], [24], [34], [-7], [-21], [-42], [24], [-19], [8], [-26], [-18], [-20], [-40], [24], [4], [33], [-27], [-6], [-14], [-13], [-18], [-39], [28], [-30], [-38], [0], [-28], [22], [25], [6], [-4], [-20], [-15], [-28], [-24], [40], [30], [-30], [7], [6], [41], [36], [-38], [18], [-2], [-33], [19], [-9], [-50], [30], [52], [-51], [-50], [18], [38], [15], [-28], [-30], [3], [-6], [47], [-18], [48], [-18], [-16], [-62], [-10], [-15], [-36], [31], [42], [8], [-25], [-6], [-35], [33], [14], [46], [-49], [-12], [-5], [-6], [-36], [18], [-2], [-26], [29], [48], [23], [48], [-44], [6], [-48], [24], [-16], [-20], [36], [15], [60], [8], [-17], [32], [-24], [3], [-4], [51], [51], [-35], [-25], [9], [44], [54], [-48], [8], [-31], [-3], [36], [-63], [-23], [32], [-15], [-34], [63], [73], [-36], [-45], [14], [-36], [46], [-2], [-40], [-6], [28], [-66], [20], [-24], [39], [-9], [-48], [-53], [53], [13], [6], [21], [5], [54], [-14], [36], [22], [-48], [-42], [50], [-18], [-15], [28], [-80], [-45], [-43], [56], [-36], [-26], [22], [-42], [10], [-72], [-36], [22], [39], [7], [58], [-64], [-22], [41], [-43], [48], [46], [-52], [-36], [-21], [-40], [-12], [70], [-68], [-12], [-46], [66], [-52], [-30], [30], [6], [-30], [42], [55], [-78], [38], [-39], [45], [37], [-58], [30], [-34], [-39], [-32], [11], [-12], [-80], [12], [-26], [-75], [-54], [-42], [-11], [-66], [74], [-63], [9], [-64], [39], [4], [-46], [-27], [20], [-60], [20], [-56], [1], [12], [-18], [-5], [33], [-61], [81], [34], [-15], [4], [54], [-13], [56], [-47], [48], [30], [2], [84], [-24], [25], [28], [-30], [-48], [-77], [41], [-78], [-46], [-26], [-6], [30], [-48], [-39], [24], [-20], [-51], [63], [-24], [49], [53], [-39], [20], [50], [57], [-20], [69], [42], [92], [-47], [-39], [84], [26], [-36], [-1], [-36], [-6], [-76], [39], [-38], [-9], [-37], [-38], [4], [-42], [26], [-6], [27], [-20], [-78], [-64], [-64], [102], [58], [78], [85], [9], [-94], [-6], [81], [-7], [46], [57], [-74], [36], [-1], [9], [-36], [-50], [14], [39], [-72], [32], [-60], [-24], [78], [16], [24], [-12], [101], [-75], [-78], [-6], [43], [-27]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288296896, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1472.2.a.c', 'level': 1472, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [10, 13, 12, 9], 'Nk2': 5888, 'analytic_conductor': 11.753979177532473, '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': [1472, 1, [1151, 645, 833], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 181, 'dim': 44, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555904, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4], 'label': '1472.2.a', 'level': 1472, 'level_is_powerful': False, '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, 23], 'level_radical': 46, 'mf_dim': 204, 'mf_new_dim': 44, 'num_forms': 26, 'plus_dim': 19, 'prim_orbit_index': 1, 'relative_dim': 44, 'sturm_bound': 384, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 16, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, -24, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -8, 0, 0, 0, 40, 0, 0, 0, 12, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 8, 0, 0, 0, 72, 0, 0, 0, -64, 0, 0, 0, 48, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 4, 0, 0, 0, -72, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -8, 0, 0, 0, -80, 0, 0, 0, 16, 0, 0, 0, -112, 0, 0, 0, -16, 0, 0, 0, -104, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 16, 0, 0, 0, 24, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 216, 0, 0, 0, -32, 0, 0, 0, -144, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 32, 0, 0, 0, -28, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -56, 0, 0, 0, 120, 0, 0, 0, -48, 0, 0, 0, 48, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, -8, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 24, 0, 0, 0, -32, 0, 0, 0, 76, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, -40, 0, 0, 0, -96, 0, 0, 0, -56, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -88, 0, 0, 0, -128, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, -128, 0, 0, 0, 8, 0, 0, 0, -120, 0, 0, 0, -88, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, -112, 0, 0, 0, -240, 0, 0, 0, 32, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, -208, 0, 0, 0, -64, 0, 0, 0, -144, 0, 0, 0, 136, 0, 0, 0, 336, 0, 0, 0, 44, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, -56, 0, 0, 0, 128, 0, 0, 0, 88, 0, 0, 0, 224, 0, 0, 0, -192, 0, 0, 0, 144, 0, 0, 0, 136, 0, 0, 0, 32, 0, 0, 0, 40, 0, 0, 0, 144, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 136, 0, 0, 0, -24, 0, 0, 0, 140, 0, 0, 0, -224, 0, 0, 0, 144, 0, 0, 0, 240, 0, 0, 0, -104, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, -112, 0, 0, 0, -40, 0, 0, 0, 192, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 120, 0, 0, 0, 80, 0, 0, 0, -48, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, -112, 0, 0, 0, -96, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 96, 0, 0, 0, 160, 0, 0, 0, 44, 0, 0, 0, 32, 0, 0, 0, -112, 0, 0, 0, 240, 0, 0, 0, 160, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, 208, 0, 0, 0, 72, 0, 0, 0, 320, 0, 0, 0, 56, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 176, 0, 0, 0, 32, 0, 0, 0, -272, 0, 0, 0, 160, 0, 0, 0, 256, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 160, 0, 0, 0, 48, 0, 0, 0, -56, 0, 0, 0, -336, 0, 0, 0, 24, 0, 0, 0, 88, 0, 0, 0, -104, 0, 0, 0, 36, 0, 0, 0, 224, 0, 0, 0, 112, 0, 0, 0, 136, 0, 0, 0, 8, 0, 0, 0, -80, 0, 0, 0, -160, 0, 0, 0, 32, 0, 0, 0, 56, 0, 0, 0, 184, 0, 0, 0, -40, 0, 0, 0, 384, 0, 0, 0, 96, 0, 0, 0, -256, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, -536, 0, 0, 0, 16, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, 256, 0, 0, 0, 56, 0, 0, 0, -120, 0, 0, 0, 136, 0, 0, 0, -48, 0, 0, 0, -352, 0, 0, 0, -232, 0, 0, 0, 8, 0, 0, 0, -224, 0, 0, 0, 140, 0, 0, 0, 128, 0, 0, 0, -96, 0, 0, 0, -80, 0, 0, 0, 120, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -96, 0, 0, 0, 408, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 742946
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '92.2.a.b', 'target_level': 92, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 742947
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '368.2.a.b', 'target_level': 368, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 742948
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '828.2.a.b', 'target_level': 828, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 742949
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1472.2.a.c', 'target_level': 1472, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 742950
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1472.2.a.j', 'target_level': 1472, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 742951
{'conductor': 184, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2116.2.a.d', 'target_level': 2116, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '184.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 742952
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2300.2.a.c', 'target_level': 2300, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 742953
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2300.2.c.f', 'target_level': 2300, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 742954
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3312.2.a.g', 'target_level': 3312, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 742955
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4508.2.a.a', 'target_level': 4508, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 742956
{'conductor': 184, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '8464.2.a.f', 'target_level': 8464, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '184.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 742957
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1472.2.a.c', 'source_level': 1472, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '9200.2.a.ba', 'target_level': 9200, 'twist_class_label': '92.2.a.b', 'twist_class_level': 92, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1975150
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 2}
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id: 1975151
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 3}
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id: 1975152
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 5}
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id: 1975153
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 7}
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id: 1975154
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 11}
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id: 1975155
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 13}
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id: 1975156
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 17}
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id: 1975157
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 19}
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id: 1975158
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 23}
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id: 1975159
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 29}
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id: 1975160
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 31}
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id: 1975161
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 37}
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id: 1975162
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 41}
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id: 1975163
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 43}
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id: 1975164
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 47}
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id: 1975165
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 53}
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id: 1975166
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 59}
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id: 1975167
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 61}
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id: 1975168
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 67}
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id: 1975169
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 71}
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id: 1975170
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 73}
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id: 1975171
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 79}
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id: 1975172
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 83}
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id: 1975173
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 89}
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id: 1975174
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288296896, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1472.2.a.c', 'level': 1472, 'portrait': 'data:image/png;base64,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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 26327329
{'hecke_orbit_code': 9007199288296896, 'n': 1, 'trace_an': 1}
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