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{'Nk2': 12800, 'analytic_conductor': 25.552128646809724, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3200, 1, [1151, 901, 2177], [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]], [7, [0, 1]], [11, [-2, 1]], [13, [2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170410112, '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': '3200.2.a.f', 'level': 3200, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '640.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{3}+q^{9}+2q^{11}-2q^{13}-6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/3200/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3200.2.a', 'trace_display': [0, -2, 0, 0], 'trace_hash': 110586594908459850, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.968', '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], [-2], [0], [0], [0], [0], [0], [1], [0], [2], [0], [-2], [0], [0], [0], [-6], [0], [6], [0], [0], [0], [0], [0], [0], [0], [4], [0], [10], [0], [-8], [0], [-4], [0], [0], [0], [-2], [0], [4], [0], [-6], [0], [2], [0], [0], [0], [12], [0], [-7], [0], [12], [0], [-10], [0], [0], [0], [-12], [0], [-6], [0], [-6], [0], [0], [0], [0], [0], [14], [0], [0], [0], [-4], [0], [10], [0], [0], [0], [0], [0], [8], [0], [-11], [0], [-10], [0], [0], [0], [-20], [0], [14], [0], [0], [0], [16], [0], [0], [0], [-6], [0], [2], [0]], 'ap': [[0], [-2], [0], [0], [2], [-2], [-6], [6], [0], [10], [-8], [-2], [-6], [2], [12], [-10], [-6], [-6], [14], [-4], [10], [8], [-10], [14], [-6], [-6], [-8], [2], [2], [-2], [-12], [6], [6], [-14], [-6], [-12], [-10], [14], [-16], [-10], [-2], [-14], [-24], [-6], [-18], [-28], [-10], [-20], [6], [-14], [10], [-8], [-2], [18], [-18], [24], [2], [32], [-2], [30], [-14], [6], [22], [-28], [-26], [-10], [2], [-2], [-30], [-22], [-2], [-12], [28], [-18], [26], [-4], [34], [38], [-2], [-22], [30], [10], [0], [26], [-20], [2], [14], [6], [-22], [-28], [6], [16], [16], [-22], [-2], [-16], [-14], [10], [-6], [34], [-2], [22], [-34], [-38], [-22], [-18], [18], [14], [28], [14], [-28], [14], [-6], [42], [4], [-2], [6], [16], [-10], [30], [-38], [-22], [38], [18], [-10], [42], [-6], [8], [8], [30], [6], [8], [32], [-42], [10], [-50], [-10], [-18], [14], [26], [-46], [18], [16], [-6], [10], [4], [-58], [38], [26], [-4], [-18], [2], [-18], [-8], [-22], [-48], [-20], [-18], [-38], [-22], [-42], [6], [32], [42], [10], [48], [24], [-42], [-18], [-18], [18], [26], [28], [-54], [-40], [30], [50], [-22], [-40], [10], [-28], [-34], [-34], [58], [-12], [-30], [-26], [46], [-6], [8], [-66], [2], [30], [18], [38], [42], [-62], [-2], [30], [8], [18], [-32], [22], [50], [10], [-18], [-16], [-34], [30], [-14], [10], [-54], [-16], [42], [36], [-22], [-68], [-2], [8], [54], [-22], [44], [-50], [52], [54], [34], [10], [0], [16], [10], [6], [6], [56], [-18], [-46], [-52], [-50], [62], [18], [-36], [-26], [10], [-72], [-46], [-2], [28], [52], [38], [50], [-12], [54], [-78], [-64], [14], [-66], [30], [18], [18], [-18], [-42], [44], [-42], [26], [-34], [-22], [78], [26], [-2], [-6], [78], [-14], [-58], [-54], [-32], [46], [-16], [42], [2], [-34], [-34], [28], [60], [24], [-14], [58], [-64], [-38], [-42], [-20], [50], [82], [38], [-54], [34], [-50], [10], [8], [6], [34], [-50], [-26], [6], [8], [-26], [-70], [10], [-62], [-30], [76], [-2], [-28], [2], [30], [22], [-32], [-34], [-34], [24], [-34], [66], [-10], [38], [-30], [28], [22], [-2], [-26], [50], [20], [14], [-22], [-66], [-80], [-42], [58], [-46], [-30], [-66], [-50], [-52], [54], [22], [18], [12], [54], [-26], [-38], [-46], [0], [-50], [-50], [70], [58], [52], [-46], [-54], [-48], [42], [74], [80], [-90], [-50], [12], [-70], [22], [42], [14], [40], [26], [-90], [42], [36], [-14], [4], [38], [30], [8], [14], [-82], [-42], [42], [6], [56], [78], [22], [24], [32], [46], [26], [68], [-46], [-50], [58], [62], [52], [-58], [64], [-54], [-22], [2], [-14], [-54], [-20], [-42], [90], [12], [62], [62], [38], [62], [46], [-34], [-6], [46], [-6], [-30], [80], [64], [-38], [16], [-6], [22], [92], [42], [6], [-42], [-82], [30], [-22], [-36]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170410112, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3200.2.a.f', 'level': 3200, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [15, 22, 21, 18], 'Nk2': 12800, 'analytic_conductor': 25.552128646809724, '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': [3200, 1, [1151, 901, 2177], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 433, 'dim': 76, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 33557632, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '3200.2.a', 'level': 3200, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 528, 'mf_new_dim': 76, 'num_forms': 48, 'plus_dim': 33, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 960, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -48, 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, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -512, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -260, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -344, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -496, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -528, 0, 0, 0, 0, 0, 0, 0, -536, 0, 0, 0, 0, 0, 0, 0, -376, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, -704, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -464, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1063025
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '640.2.a.a', 'target_level': 640, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1063026
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '640.2.a.b', 'target_level': 640, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1063027
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '640.2.a.g', 'target_level': 640, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1063028
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '640.2.a.h', 'target_level': 640, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1063029
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1280.2.d.e', 'target_level': 1280, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1063030
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1280.2.d.f', 'target_level': 1280, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1063031
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3200.2.a.f', 'target_level': 3200, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1063032
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3200.2.a.g', 'target_level': 3200, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1063033
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3200.2.a.v', 'target_level': 3200, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1063034
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3200.2.a.w', 'target_level': 3200, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1063035
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3200.2.c.g', 'target_level': 3200, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1063036
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3200.2.c.h', 'target_level': 3200, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1063037
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3200.2.c.i', 'target_level': 3200, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1063038
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3200.2.c.j', 'target_level': 3200, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1063039
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '5760.2.a.k', 'target_level': 5760, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1063040
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5760.2.a.m', 'target_level': 5760, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1063041
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '5760.2.a.bj', 'target_level': 5760, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1063042
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '3200.2.a.f', 'source_level': 3200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '5760.2.a.bl', 'target_level': 5760, 'twist_class_label': '640.2.a.a', 'twist_class_level': 640, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3056675
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 2}
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id: 3056676
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 3}
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id: 3056677
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 5}
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id: 3056678
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 7}
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id: 3056679
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 11}
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id: 3056680
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 13}
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id: 3056681
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 17}
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id: 3056682
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 19}
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id: 3056683
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 23}
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id: 3056684
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 29}
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id: 3056685
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 31}
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id: 3056686
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 37}
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id: 3056687
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 41}
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id: 3056688
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 43}
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id: 3056689
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 47}
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id: 3056690
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 53}
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id: 3056691
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 59}
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id: 3056692
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 61}
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id: 3056693
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 67}
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id: 3056694
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 71}
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id: 3056695
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 73}
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id: 3056696
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 79}
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id: 3056697
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 83}
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id: 3056698
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 89}
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id: 3056699
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170410112, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '3200.2.a.f', 'level': 3200, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 42262441
{'hecke_orbit_code': 22517998170410112, 'n': 1, 'trace_an': 1}
-
id: 42262442
{'hecke_orbit_code': 22517998170410112, 'n': 2, 'trace_an': 0}
-
id: 42262443
{'hecke_orbit_code': 22517998170410112, 'n': 3, 'trace_an': -2}
-
id: 42262444
{'hecke_orbit_code': 22517998170410112, 'n': 4, 'trace_an': 0}
-
id: 42262445
{'hecke_orbit_code': 22517998170410112, 'n': 5, 'trace_an': 0}
-
id: 42262446
{'hecke_orbit_code': 22517998170410112, 'n': 6, 'trace_an': 0}
-
id: 42262447
{'hecke_orbit_code': 22517998170410112, 'n': 7, 'trace_an': 0}
-
id: 42262448
{'hecke_orbit_code': 22517998170410112, 'n': 8, 'trace_an': 0}
-
id: 42262449
{'hecke_orbit_code': 22517998170410112, 'n': 9, 'trace_an': 1}
-
id: 42262450
{'hecke_orbit_code': 22517998170410112, 'n': 10, 'trace_an': 0}
-
id: 42262451
{'hecke_orbit_code': 22517998170410112, 'n': 11, 'trace_an': 2}
-
id: 42262452
{'hecke_orbit_code': 22517998170410112, 'n': 12, 'trace_an': 0}
-
id: 42262453
{'hecke_orbit_code': 22517998170410112, 'n': 13, 'trace_an': -2}
-
id: 42262454
{'hecke_orbit_code': 22517998170410112, 'n': 14, 'trace_an': 0}
-
id: 42262455
{'hecke_orbit_code': 22517998170410112, 'n': 15, 'trace_an': 0}
-
id: 42262456
{'hecke_orbit_code': 22517998170410112, 'n': 16, 'trace_an': 0}
-
id: 42262457
{'hecke_orbit_code': 22517998170410112, 'n': 17, 'trace_an': -6}
-
id: 42262458
{'hecke_orbit_code': 22517998170410112, 'n': 18, 'trace_an': 0}
-
id: 42262459
{'hecke_orbit_code': 22517998170410112, 'n': 19, 'trace_an': 6}
-
id: 42262460
{'hecke_orbit_code': 22517998170410112, 'n': 20, 'trace_an': 0}
-
id: 42262461
{'hecke_orbit_code': 22517998170410112, 'n': 21, 'trace_an': 0}
-
id: 42262462
{'hecke_orbit_code': 22517998170410112, 'n': 22, 'trace_an': 0}
-
id: 42262463
{'hecke_orbit_code': 22517998170410112, 'n': 23, 'trace_an': 0}
-
id: 42262464
{'hecke_orbit_code': 22517998170410112, 'n': 24, 'trace_an': 0}
-
id: 42262465
{'hecke_orbit_code': 22517998170410112, 'n': 25, 'trace_an': 0}
-
id: 42262466
{'hecke_orbit_code': 22517998170410112, 'n': 26, 'trace_an': 0}
-
id: 42262467
{'hecke_orbit_code': 22517998170410112, 'n': 27, 'trace_an': 4}
-
id: 42262468
{'hecke_orbit_code': 22517998170410112, 'n': 28, 'trace_an': 0}
-
id: 42262469
{'hecke_orbit_code': 22517998170410112, 'n': 29, 'trace_an': 10}
-
id: 42262470
{'hecke_orbit_code': 22517998170410112, 'n': 30, 'trace_an': 0}
-
id: 42262471
{'hecke_orbit_code': 22517998170410112, 'n': 31, 'trace_an': -8}
-
id: 42262472
{'hecke_orbit_code': 22517998170410112, 'n': 32, 'trace_an': 0}
-
id: 42262473
{'hecke_orbit_code': 22517998170410112, 'n': 33, 'trace_an': -4}
-
id: 42262474
{'hecke_orbit_code': 22517998170410112, 'n': 34, 'trace_an': 0}
-
id: 42262475
{'hecke_orbit_code': 22517998170410112, 'n': 35, 'trace_an': 0}
-
id: 42262476
{'hecke_orbit_code': 22517998170410112, 'n': 36, 'trace_an': 0}
-
id: 42262477
{'hecke_orbit_code': 22517998170410112, 'n': 37, 'trace_an': -2}
-
id: 42262478
{'hecke_orbit_code': 22517998170410112, 'n': 38, 'trace_an': 0}
-
id: 42262479
{'hecke_orbit_code': 22517998170410112, 'n': 39, 'trace_an': 4}
-
id: 42262480
{'hecke_orbit_code': 22517998170410112, 'n': 40, 'trace_an': 0}
-
id: 42262481
{'hecke_orbit_code': 22517998170410112, 'n': 41, 'trace_an': -6}
-
id: 42262482
{'hecke_orbit_code': 22517998170410112, 'n': 42, 'trace_an': 0}
-
id: 42262483
{'hecke_orbit_code': 22517998170410112, 'n': 43, 'trace_an': 2}
-
id: 42262484
{'hecke_orbit_code': 22517998170410112, 'n': 44, 'trace_an': 0}
-
id: 42262485
{'hecke_orbit_code': 22517998170410112, 'n': 45, 'trace_an': 0}
-
id: 42262486
{'hecke_orbit_code': 22517998170410112, 'n': 46, 'trace_an': 0}
-
id: 42262487
{'hecke_orbit_code': 22517998170410112, 'n': 47, 'trace_an': 12}
-
id: 42262488
{'hecke_orbit_code': 22517998170410112, 'n': 48, 'trace_an': 0}
-
id: 42262489
{'hecke_orbit_code': 22517998170410112, 'n': 49, 'trace_an': -7}
-
id: 42262490
{'hecke_orbit_code': 22517998170410112, 'n': 50, 'trace_an': 0}
-
id: 42262491
{'hecke_orbit_code': 22517998170410112, 'n': 51, 'trace_an': 12}
-
id: 42262492
{'hecke_orbit_code': 22517998170410112, 'n': 52, 'trace_an': 0}
-
id: 42262493
{'hecke_orbit_code': 22517998170410112, 'n': 53, 'trace_an': -10}
-
id: 42262494
{'hecke_orbit_code': 22517998170410112, 'n': 54, 'trace_an': 0}
-
id: 42262495
{'hecke_orbit_code': 22517998170410112, 'n': 55, 'trace_an': 0}
-
id: 42262496
{'hecke_orbit_code': 22517998170410112, 'n': 56, 'trace_an': 0}
-
id: 42262497
{'hecke_orbit_code': 22517998170410112, 'n': 57, 'trace_an': -12}
-
id: 42262498
{'hecke_orbit_code': 22517998170410112, 'n': 58, 'trace_an': 0}
-
id: 42262499
{'hecke_orbit_code': 22517998170410112, 'n': 59, 'trace_an': -6}
-
id: 42262500
{'hecke_orbit_code': 22517998170410112, 'n': 60, 'trace_an': 0}
-
id: 42262501
{'hecke_orbit_code': 22517998170410112, 'n': 61, 'trace_an': -6}
-
id: 42262502
{'hecke_orbit_code': 22517998170410112, 'n': 62, 'trace_an': 0}
-
id: 42262503
{'hecke_orbit_code': 22517998170410112, 'n': 63, 'trace_an': 0}
-
id: 42262504
{'hecke_orbit_code': 22517998170410112, 'n': 64, 'trace_an': 0}
-
id: 42262505
{'hecke_orbit_code': 22517998170410112, 'n': 65, 'trace_an': 0}
-
id: 42262506
{'hecke_orbit_code': 22517998170410112, 'n': 66, 'trace_an': 0}
-
id: 42262507
{'hecke_orbit_code': 22517998170410112, 'n': 67, 'trace_an': 14}
-
id: 42262508
{'hecke_orbit_code': 22517998170410112, 'n': 68, 'trace_an': 0}
-
id: 42262509
{'hecke_orbit_code': 22517998170410112, 'n': 69, 'trace_an': 0}
-
id: 42262510
{'hecke_orbit_code': 22517998170410112, 'n': 70, 'trace_an': 0}
-
id: 42262511
{'hecke_orbit_code': 22517998170410112, 'n': 71, 'trace_an': -4}
-
id: 42262512
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