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mf_newforms • Show schema
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{'Nk2': 29952, 'analytic_conductor': 59.79198103353475, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [13, -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': [7488, 1, [703, 6085, 5825, 5761], [1, 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': [[5, [4, 1]], [7, [4, 1]], [11, [2, 1]], [17, [-6, 1]], [19, [4, 1]], [29, [6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660932416, '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': '7488.2.a.b', 'level': 7488, '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, 3, 13], 'level_radical': 78, 'minimal_twist': '312.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-4q^{5}-4q^{7}-2q^{11}+q^{13}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/7488/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7488.2.a', 'trace_display': [0, 0, -4, -4], 'trace_hash': 1120019752839597923, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.012', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [-4], [0], [-4], [0], [0], [0], [-2], [0], [1], [0], [0], [0], [6], [0], [-4], [0], [0], [0], [-4], [0], [11], [0], [0], [0], [-6], [0], [8], [0], [0], [0], [16], [0], [10], [0], [0], [0], [4], [0], [4], [0], [0], [0], [6], [0], [9], [0], [0], [0], [6], [0], [8], [0], [0], [0], [-6], [0], [6], [0], [0], [0], [-4], [0], [0], [0], [0], [0], [-10], [0], [-2], [0], [0], [0], [8], [0], [0], [0], [0], [0], [-10], [0], [-24], [0], [0], [0], [-8], [0], [-4], [0], [0], [0], [16], [0], [-10], [0], [0], [0]], 'ap': [[0], [0], [-4], [-4], [-2], [1], [6], [-4], [-4], [-6], [8], [10], [4], [4], [6], [6], [-6], [6], [0], [-10], [-2], [0], [-10], [-8], [-10], [-14], [16], [8], [-10], [10], [-8], [0], [-12], [12], [8], [-8], [2], [20], [-2], [-6], [12], [26], [-16], [10], [20], [-24], [-4], [-8], [-22], [6], [2], [6], [14], [-16], [-14], [4], [10], [20], [18], [4], [-4], [-24], [-16], [-20], [6], [28], [-24], [-18], [12], [-6], [4], [-18], [-24], [-26], [-12], [18], [6], [-22], [24], [-10], [0], [22], [2], [-2], [40], [0], [0], [-26], [36], [-36], [-8], [-6], [-40], [24], [-24], [28], [-28], [18], [4], [6], [-12], [-32], [12], [2], [20], [34], [-18], [-32], [-4], [-42], [8], [-30], [28], [-40], [48], [-26], [-16], [0], [-6], [-20], [-38], [-30], [-18], [-18], [8], [38], [14], [-12], [-8], [14], [-16], [22], [-40], [22], [36], [10], [-24], [48], [14], [-30], [28], [-32], [40], [-10], [30], [42], [26], [18], [28], [34], [10], [42], [-12], [0], [-28], [-32], [-24], [20], [-50], [-40], [18], [42], [32], [12], [-24], [-38], [-32], [-38], [-34], [-6], [-54], [-6], [44], [6], [-16], [-18], [-8], [-24], [64], [14], [-44], [44], [-26], [32], [-66], [-42], [34], [4], [30], [30], [26], [46], [-44], [40], [20], [-6], [50], [-50], [-24], [-40], [-44], [-32], [14], [26], [26], [30], [16], [8], [0], [52], [-34], [-58], [-48], [-2], [-6], [34], [32], [-42], [-66], [24], [10], [4], [-16], [-56], [-72], [-6], [-50], [-4], [-8], [10], [-30], [-20], [-36], [30], [-68], [-26], [-50], [-72], [-36], [24], [30], [-20], [-40], [50], [-24], [60], [-28], [34], [-44], [-44], [22], [-12], [-22], [-10], [18], [-34], [-74], [-12], [22], [-30], [56], [60], [30], [-62], [64], [20], [-36], [-60], [24], [18], [-2], [-16], [6], [-56], [-2], [28], [-54], [18], [2], [24], [48], [-4], [-24], [50], [64], [0], [-34], [-8], [0], [66], [6], [84], [40], [-14], [-46], [54], [64], [6], [68], [64], [26], [12], [24], [36], [-52], [38], [-76], [-14], [-6], [-34], [-84], [-44], [18], [-36], [-58], [-26], [18], [-6], [14], [-18], [20], [-38], [-42], [-16], [48], [-2], [52], [-72], [48], [-22], [14], [-30], [-56], [-66], [68], [-2], [-30], [-84], [86], [-8], [58], [-78], [-40], [-24], [-68], [28], [38], [12], [54], [-74], [-32], [46], [-16], [-8], [-74], [-38], [-82], [-38], [26], [-22], [-62], [6], [60], [-54], [60], [10], [92], [-24], [10], [32], [20], [-50], [-82], [40], [-46], [-66], [8], [66], [54], [-38], [48], [-20], [-4], [-48], [-28], [2], [-60], [-42], [76], [-4], [30], [-72], [-10], [-28], [70], [6], [-76], [-90], [76], [12], [-14], [94], [-20], [72], [60], [-64], [-98], [40], [-56], [70], [50], [-50], [12], [-100], [18], [70], [-2], [-16], [-48], [36], [2], [-14], [30], [0], [-46], [-48], [64], [-40], [-4], [-96]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660932416, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '7488.2.a.b', 'level': 7488, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [10, 14, 19, 17, 14, 10, 17, 19], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [147, 150, 149, 143, 154, 150, 139, 145], 'Nk2': 29952, 'analytic_conductor': 59.79198103353475, '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': [7488, 1, [703, 6085, 5825, 5761], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1297, 'dim': 120, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17, 19, 29], 'hecke_orbit_code': 33561920, '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, 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, 3, 3, 4, 4, 4, 4, 4], 'label': '7488.2.a', 'level': 7488, '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, 3, 13], 'level_radical': 78, 'mf_dim': 1392, 'mf_new_dim': 120, 'num_forms': 82, 'plus_dim': 54, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 2688, 'trace_bound': 29, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1350467
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '312.2.a.d', 'target_level': 312, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1350468
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '624.2.a.a', 'target_level': 624, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1350469
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '936.2.a.i', 'target_level': 936, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350470
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1872.2.a.t', 'target_level': 1872, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1350471
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2496.2.a.n', 'target_level': 2496, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350472
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2496.2.a.bd', 'target_level': 2496, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350473
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4056.2.a.s', 'target_level': 4056, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '312.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350474
{'conductor': 312, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4056.2.c.j', 'target_level': 4056, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '312.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 1350475
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7488.2.a.b', 'target_level': 7488, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1350476
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7488.2.a.e', 'target_level': 7488, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1350477
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '7800.2.a.j', 'target_level': 7800, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1350478
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '7488.2.a.b', 'source_level': 7488, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '8112.2.a.o', 'target_level': 8112, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '312.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4486750
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 2}
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id: 4486751
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 3}
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id: 4486752
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 5}
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id: 4486753
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 7}
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id: 4486754
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 11}
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id: 4486755
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 13}
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id: 4486756
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 17}
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id: 4486757
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 19}
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id: 4486758
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 23}
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id: 4486759
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 29}
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id: 4486760
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 31}
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id: 4486761
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 37}
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id: 4486762
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 41}
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id: 4486763
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 43}
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id: 4486764
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 47}
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id: 4486765
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 53}
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id: 4486766
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 59}
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id: 4486767
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 61}
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id: 4486768
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 67}
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id: 4486769
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 71}
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id: 4486770
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 73}
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id: 4486771
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 79}
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id: 4486772
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 83}
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id: 4486773
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 89}
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id: 4486774
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660932416, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '7488.2.a.b', 'level': 7488, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 17950158
{'hecke_orbit_code': 4503599660932416, 'n': 1, 'trace_an': 1}
-
id: 17950159
{'hecke_orbit_code': 4503599660932416, 'n': 2, 'trace_an': 0}
-
id: 17950160
{'hecke_orbit_code': 4503599660932416, 'n': 3, 'trace_an': 0}
-
id: 17950161
{'hecke_orbit_code': 4503599660932416, 'n': 4, 'trace_an': 0}
-
id: 17950162
{'hecke_orbit_code': 4503599660932416, 'n': 5, 'trace_an': -4}
-
id: 17950163
{'hecke_orbit_code': 4503599660932416, 'n': 6, 'trace_an': 0}
-
id: 17950164
{'hecke_orbit_code': 4503599660932416, 'n': 7, 'trace_an': -4}
-
id: 17950165
{'hecke_orbit_code': 4503599660932416, 'n': 8, 'trace_an': 0}
-
id: 17950166
{'hecke_orbit_code': 4503599660932416, 'n': 9, 'trace_an': 0}
-
id: 17950167
{'hecke_orbit_code': 4503599660932416, 'n': 10, 'trace_an': 0}
-
id: 17950168
{'hecke_orbit_code': 4503599660932416, 'n': 11, 'trace_an': -2}
-
id: 17950169
{'hecke_orbit_code': 4503599660932416, 'n': 12, 'trace_an': 0}
-
id: 17950170
{'hecke_orbit_code': 4503599660932416, 'n': 13, 'trace_an': 1}
-
id: 17950171
{'hecke_orbit_code': 4503599660932416, 'n': 14, 'trace_an': 0}
-
id: 17950172
{'hecke_orbit_code': 4503599660932416, 'n': 15, 'trace_an': 0}
-
id: 17950173
{'hecke_orbit_code': 4503599660932416, 'n': 16, 'trace_an': 0}
-
id: 17950174
{'hecke_orbit_code': 4503599660932416, 'n': 17, 'trace_an': 6}
-
id: 17950175
{'hecke_orbit_code': 4503599660932416, 'n': 18, 'trace_an': 0}
-
id: 17950176
{'hecke_orbit_code': 4503599660932416, 'n': 19, 'trace_an': -4}
-
id: 17950177
{'hecke_orbit_code': 4503599660932416, 'n': 20, 'trace_an': 0}
-
id: 17950178
{'hecke_orbit_code': 4503599660932416, 'n': 21, 'trace_an': 0}
-
id: 17950179
{'hecke_orbit_code': 4503599660932416, 'n': 22, 'trace_an': 0}
-
id: 17950180
{'hecke_orbit_code': 4503599660932416, 'n': 23, 'trace_an': -4}
-
id: 17950181
{'hecke_orbit_code': 4503599660932416, 'n': 24, 'trace_an': 0}
-
id: 17950182
{'hecke_orbit_code': 4503599660932416, 'n': 25, 'trace_an': 11}
-
id: 17950183
{'hecke_orbit_code': 4503599660932416, 'n': 26, 'trace_an': 0}
-
id: 17950184
{'hecke_orbit_code': 4503599660932416, 'n': 27, 'trace_an': 0}
-
id: 17950185
{'hecke_orbit_code': 4503599660932416, 'n': 28, 'trace_an': 0}
-
id: 17950186
{'hecke_orbit_code': 4503599660932416, 'n': 29, 'trace_an': -6}
-
id: 17950187
{'hecke_orbit_code': 4503599660932416, 'n': 30, 'trace_an': 0}
-
id: 17950188
{'hecke_orbit_code': 4503599660932416, 'n': 31, 'trace_an': 8}
-
id: 17950189
{'hecke_orbit_code': 4503599660932416, 'n': 32, 'trace_an': 0}
-
id: 17950190
{'hecke_orbit_code': 4503599660932416, 'n': 33, 'trace_an': 0}
-
id: 17950191
{'hecke_orbit_code': 4503599660932416, 'n': 34, 'trace_an': 0}
-
id: 17950192
{'hecke_orbit_code': 4503599660932416, 'n': 35, 'trace_an': 16}
-
id: 17950193
{'hecke_orbit_code': 4503599660932416, 'n': 36, 'trace_an': 0}
-
id: 17950194
{'hecke_orbit_code': 4503599660932416, 'n': 37, 'trace_an': 10}
-
id: 17950195
{'hecke_orbit_code': 4503599660932416, 'n': 38, 'trace_an': 0}
-
id: 17950196
{'hecke_orbit_code': 4503599660932416, 'n': 39, 'trace_an': 0}
-
id: 17950197
{'hecke_orbit_code': 4503599660932416, 'n': 40, 'trace_an': 0}
-
id: 17950198
{'hecke_orbit_code': 4503599660932416, 'n': 41, 'trace_an': 4}
-
id: 17950199
{'hecke_orbit_code': 4503599660932416, 'n': 42, 'trace_an': 0}
-
id: 17950200
{'hecke_orbit_code': 4503599660932416, 'n': 43, 'trace_an': 4}
-
id: 17950201
{'hecke_orbit_code': 4503599660932416, 'n': 44, 'trace_an': 0}
-
id: 17950202
{'hecke_orbit_code': 4503599660932416, 'n': 45, 'trace_an': 0}
-
id: 17950203
{'hecke_orbit_code': 4503599660932416, 'n': 46, 'trace_an': 0}
-
id: 17950204
{'hecke_orbit_code': 4503599660932416, 'n': 47, 'trace_an': 6}
-
id: 17950205
{'hecke_orbit_code': 4503599660932416, 'n': 48, 'trace_an': 0}
-
id: 17950206
{'hecke_orbit_code': 4503599660932416, 'n': 49, 'trace_an': 9}
-
id: 17950207
{'hecke_orbit_code': 4503599660932416, 'n': 50, 'trace_an': 0}
-
id: 17950208
{'hecke_orbit_code': 4503599660932416, 'n': 51, 'trace_an': 0}
-
id: 17950209
{'hecke_orbit_code': 4503599660932416, 'n': 52, 'trace_an': 0}
-
id: 17950210
{'hecke_orbit_code': 4503599660932416, 'n': 53, 'trace_an': 6}
-
id: 17950211
{'hecke_orbit_code': 4503599660932416, 'n': 54, 'trace_an': 0}
-
id: 17950212
{'hecke_orbit_code': 4503599660932416, 'n': 55, 'trace_an': 8}
-
id: 17950213
{'hecke_orbit_code': 4503599660932416, 'n': 56, 'trace_an': 0}
-
id: 17950214
{'hecke_orbit_code': 4503599660932416, 'n': 57, 'trace_an': 0}
-
id: 17950215
{'hecke_orbit_code': 4503599660932416, 'n': 58, 'trace_an': 0}
-
id: 17950216
{'hecke_orbit_code': 4503599660932416, 'n': 59, 'trace_an': -6}
-
id: 17950217
{'hecke_orbit_code': 4503599660932416, 'n': 60, 'trace_an': 0}
-
id: 17950218
{'hecke_orbit_code': 4503599660932416, 'n': 61, 'trace_an': 6}
-
id: 17950219
{'hecke_orbit_code': 4503599660932416, 'n': 62, 'trace_an': 0}
-
id: 17950220
{'hecke_orbit_code': 4503599660932416, 'n': 63, 'trace_an': 0}
-
id: 17950221
{'hecke_orbit_code': 4503599660932416, 'n': 64, 'trace_an': 0}
-
id: 17950222
{'hecke_orbit_code': 4503599660932416, 'n': 65, 'trace_an': -4}
-
id: 17950223
{'hecke_orbit_code': 4503599660932416, 'n': 66, 'trace_an': 0}
-
id: 17950224
{'hecke_orbit_code': 4503599660932416, 'n': 67, 'trace_an': 0}
-
id: 17950225
{'hecke_orbit_code': 4503599660932416, 'n': 68, 'trace_an': 0}
-
id: 17950226
{'hecke_orbit_code': 4503599660932416, 'n': 69, 'trace_an': 0}
-
id: 17950227
{'hecke_orbit_code': 4503599660932416, 'n': 70, 'trace_an': 0}
-
id: 17950228
{'hecke_orbit_code': 4503599660932416, 'n': 71, 'trace_an': -10}
-
id: 17950229
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