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{'Nk2': 15300, 'analytic_conductor': 30.542778773139748, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [17, -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': [3825, 1, [2126, 2602, 2026], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[2, [1, 1]], [7, [4, 1]], [11, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915669745, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3825.2.a.d', 'level': 3825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 17], 'level_radical': 255, 'minimal_twist': '17.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{4}-4q^{7}+3q^{8}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3825/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3825.2.a', 'trace_display': [-1, 0, 0, -4], 'trace_hash': 1141546353775488678, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.987', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.972', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [-1], [0], [0], [-4], [3], [0], [0], [0], [0], [2], [4], [0], [-1], [1], [0], [-4], [0], [0], [0], [4], [0], [0], [-2], [0], [4], [-6], [0], [4], [-5], [0], [-1], [0], [0], [2], [4], [0], [0], [6], [0], [-4], [0], [0], [-4], [0], [0], [9], [0], [0], [-2], [6], [0], [0], [-12], [0], [6], [12], [0], [-10], [-4], [0], [7], [0], [0], [-4], [-1], [0], [0], [4], [0], [6], [-2], [0], [4], [0], [0], [12], [0], [0], [-6], [-4], [0], [0], [4], [0], [0], [-10], [0], [-8], [-4], [0], [0], [0], [0], [-2], [-9], [0], [0]], 'ap': [[-1], [0], [0], [-4], [0], [2], [1], [-4], [4], [-6], [4], [2], [6], [-4], [0], [6], [12], [-10], [-4], [4], [6], [12], [-4], [-10], [-2], [10], [-8], [8], [6], [-14], [-8], [-16], [-6], [-8], [10], [-16], [2], [-24], [-4], [22], [-12], [-2], [16], [-2], [-18], [-20], [8], [-24], [-24], [6], [-6], [16], [18], [-12], [18], [-16], [-22], [-16], [-14], [6], [16], [6], [12], [-28], [22], [-10], [4], [14], [32], [-18], [-30], [0], [-28], [-6], [-8], [-24], [-6], [-6], [14], [26], [-8], [22], [-12], [-2], [-20], [28], [-34], [6], [2], [-32], [12], [-36], [-20], [-20], [-40], [-12], [2], [-26], [36], [6], [32], [30], [-4], [38], [-32], [14], [4], [18], [24], [10], [-20], [26], [-6], [-48], [16], [30], [-32], [8], [6], [-4], [38], [-2], [30], [-40], [-8], [18], [-34], [-4], [-40], [50], [28], [12], [20], [-22], [22], [-14], [-26], [32], [-50], [-26], [40], [18], [-20], [-48], [-34], [-20], [-14], [10], [52], [16], [-6], [46], [12], [12], [-32], [4], [24], [30], [-10], [-6], [32], [-22], [0], [12], [18], [12], [-12], [-46], [-14], [30], [36], [14], [12], [-58], [40], [22], [8], [18], [48], [-50], [0], [0], [-62], [42], [8], [-6], [26], [-36], [-38], [12], [-2], [-16], [28], [34], [0], [26], [-14], [10], [66], [-56], [10], [-36], [10], [-14], [20], [-34], [16], [60], [6], [44], [46], [-54], [-36], [-60], [-4], [-38], [-16], [-18], [-12], [-50], [-58], [-36], [-66], [28], [20], [-26], [42], [-60], [-32], [0], [-62], [-16], [8], [6], [68], [56], [50], [14], [24], [32], [-56], [-4], [-24], [-18], [18], [-28], [28], [8], [52], [-24], [2], [-34], [16], [26], [-18], [-4], [-2], [8], [-2], [22], [-36], [-60], [-2], [10], [-62], [36], [2], [-58], [80], [6], [6], [-4], [-58], [-56], [14], [16], [36], [46], [58], [-76], [-48], [12], [4], [-10], [-24], [-48], [-18], [-66], [32], [14], [42], [-48], [-22], [-80], [-54], [-54], [-48], [6], [-64], [-44], [6], [78], [-4], [-48], [-40], [-2], [-68], [-26], [72], [-38], [-20], [82], [-66], [4], [-40], [10], [20], [-4], [-34], [-18], [56], [-42], [34], [-64], [-6], [-78], [0], [-64], [-60], [30], [-58], [54], [-12], [36], [-16], [-48], [46], [66], [58], [-56], [-6], [90], [-30], [8], [78], [-24], [-2], [52], [-36], [-66], [-36], [38], [-78], [76], [-10], [-54], [40], [8], [18], [0], [18], [70], [48], [-48], [-12], [54], [-74], [72], [74], [52], [64], [-36], [-6], [-72], [-86], [0], [52], [14], [-50], [70], [90], [42], [-28], [-62], [-8], [84], [8], [-22], [24], [32], [98], [-82], [4], [-36], [0], [-10], [64], [-74], [32], [26], [70], [-14], [0], [10], [26], [28], [82], [30], [36], [96], [78], [-42], [44], [-16], [22], [42], [68], [-28], [18], [-24], [50], [50], [84], [92], [-58], [14], [-96], [-10], [-20], [-84]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915669745, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3825.2.a.d', 'level': 3825, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, 1], [5, 1], [17, 1]], 12, 5], [[[3, -1], [5, -1], [17, -1]], 22, 7], [[[3, 1], [5, 1], [17, -1]], 12, 5], [[[3, 1], [5, -1], [17, -1]], 13, 2], [[[3, -1], [5, 1], [17, 1]], 21, 8], [[[3, -1], [5, 1], [17, -1]], 15, 9], [[[3, -1], [5, -1], [17, 1]], 18, 8], [[[3, 1], [5, -1], [17, 1]], 13, 2]], 'ALdims': [12, 12, 13, 13, 21, 15, 18, 22], 'Nk2': 15300, 'analytic_conductor': 30.542778773139748, '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': [3825, 1, [2126, 2602, 2026], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 517, 'dim': 126, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558257, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8], 'label': '3825.2.a', 'level': 3825, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 17], 'level_radical': 255, 'mf_dim': 564, 'mf_new_dim': 126, 'num_forms': 46, 'plus_dim': 58, 'prim_orbit_index': 1, 'relative_dim': 126, 'sturm_bound': 1080, 'trace_bound': 11, 'trace_display': [2, 0, 0, 4], 'traces': [126, 2, 0, 126, 0, 0, 4, -6, 0, 0, 4, 0, -4, 0, 0, 134, -2, 0, -12, 0, 0, 8, 8, 0, 0, -4, 0, 8, 16, 0, -8, -10, 0, -2, 0, 0, -12, 4, 0, 0, 0, 0, 16, 28, 0, 32, -16, 0, 90, 0, 0, 24, 32, 0, 0, 20, 0, 36, -32, 0, -36, -76, 0, 214, 0, 0, -4, -6, 0, 0, -28, 0, 0, 88, 0, -80, 16, 0, -72, 0, 0, 8, 0, 0, 0, 76, 0, 28, 0, 0, -48, 12, 0, -8, 0, 0, -4, 30, 0, 0, 8, 0, -8, -8, 0, -16, 16, 0, 24, 0, 0, -4, 32, 0, 0, -8, 0, -48, 12, 0, 154, 48, 0, -20, 0, 0, -72, 10, 0, 0, 40, 0, 8, 0, 0, 6, 64, 0, -12, 0, 0, 32, -92, 0, 0, -120, 0, 44, -8, 0, -88, 0, 0, 72, 0, 0, 56, 60, 0, 0, -36, 0, 20, 32, 0, -96, -28, 0, 170, 0, 0, 12, -12, 0, 0, 116, 0, 16, -28, 0, 16, 20, 0, 56, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1155795
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '17.2.a.a', 'target_level': 17, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1155796
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '153.2.a.c', 'target_level': 153, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155797
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '272.2.a.b', 'target_level': 272, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1155798
{'conductor': 255, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '289.2.a.a', 'target_level': 289, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '255.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1155799
{'conductor': 255, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '289.2.b.a', 'target_level': 289, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '255.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1155800
{'conductor': 255, 'degree': 4, 'multiplicity': 4, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '289.2.c.a', 'target_level': 289, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '255.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 1155801
{'conductor': 255, 'degree': 8, 'multiplicity': 8, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '289.2.d.d', 'target_level': 289, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '255.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 1155802
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '425.2.a.d', 'target_level': 425, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155803
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '425.2.b.b', 'target_level': 425, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1155804
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '833.2.a.a', 'target_level': 833, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1155805
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '833.2.e.a', 'target_level': 833, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1155806
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '833.2.e.b', 'target_level': 833, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1155807
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1088.2.a.h', 'target_level': 1088, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1155808
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1088.2.a.i', 'target_level': 1088, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1155809
{'conductor': 165, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2057.2.a.e', 'target_level': 2057, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '165.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1155810
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2448.2.a.o', 'target_level': 2448, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1155811
{'conductor': 85, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2601.2.a.g', 'target_level': 2601, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '85.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1155812
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2873.2.a.c', 'target_level': 2873, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1155813
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3825.2.a.d', 'target_level': 3825, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1155814
{'conductor': 1020, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4624.2.a.d', 'target_level': 4624, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '1020.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155815
{'conductor': 285, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '6137.2.a.b', 'target_level': 6137, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '285.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155816
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '6800.2.a.n', 'target_level': 6800, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1155817
{'conductor': 51, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '7225.2.a.g', 'target_level': 7225, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '51.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1155818
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '7497.2.a.l', 'target_level': 7497, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1155819
{'conductor': 345, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '8993.2.a.a', 'target_level': 8993, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '345.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1155820
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '9792.2.a.i', 'target_level': 9792, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1155821
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '3825.2.a.d', 'source_level': 3825, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '9792.2.a.n', 'target_level': 9792, 'twist_class_label': '17.2.a.a', 'twist_class_level': 17, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3381100
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 2}
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id: 3381101
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 3}
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id: 3381102
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 5}
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id: 3381103
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 7}
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id: 3381104
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 11}
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id: 3381105
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 13}
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id: 3381106
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 17}
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id: 3381107
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 19}
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id: 3381108
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 23}
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id: 3381109
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 29}
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id: 3381110
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 31}
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id: 3381111
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 37}
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id: 3381112
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 41}
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id: 3381113
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 43}
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id: 3381114
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 47}
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id: 3381115
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 53}
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id: 3381116
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 59}
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id: 3381117
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 61}
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id: 3381118
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 67}
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id: 3381119
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 71}
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id: 3381120
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 73}
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id: 3381121
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 79}
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id: 3381122
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 83}
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id: 3381123
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 89}
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id: 3381124
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915669745, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '3825.2.a.d', 'level': 3825, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 128744000
{'hecke_orbit_code': 13510798915669745, 'n': 1, 'trace_an': 1}
-
id: 128744001
{'hecke_orbit_code': 13510798915669745, 'n': 2, 'trace_an': -1}
-
id: 128744002
{'hecke_orbit_code': 13510798915669745, 'n': 3, 'trace_an': 0}
-
id: 128744003
{'hecke_orbit_code': 13510798915669745, 'n': 4, 'trace_an': -1}
-
id: 128744004
{'hecke_orbit_code': 13510798915669745, 'n': 5, 'trace_an': 0}
-
id: 128744005
{'hecke_orbit_code': 13510798915669745, 'n': 6, 'trace_an': 0}
-
id: 128744006
{'hecke_orbit_code': 13510798915669745, 'n': 7, 'trace_an': -4}
-
id: 128744007
{'hecke_orbit_code': 13510798915669745, 'n': 8, 'trace_an': 3}
-
id: 128744008
{'hecke_orbit_code': 13510798915669745, 'n': 9, 'trace_an': 0}
-
id: 128744009
{'hecke_orbit_code': 13510798915669745, 'n': 10, 'trace_an': 0}
-
id: 128744010
{'hecke_orbit_code': 13510798915669745, 'n': 11, 'trace_an': 0}
-
id: 128744011
{'hecke_orbit_code': 13510798915669745, 'n': 12, 'trace_an': 0}
-
id: 128744012
{'hecke_orbit_code': 13510798915669745, 'n': 13, 'trace_an': 2}
-
id: 128744013
{'hecke_orbit_code': 13510798915669745, 'n': 14, 'trace_an': 4}
-
id: 128744014
{'hecke_orbit_code': 13510798915669745, 'n': 15, 'trace_an': 0}
-
id: 128744015
{'hecke_orbit_code': 13510798915669745, 'n': 16, 'trace_an': -1}
-
id: 128744016
{'hecke_orbit_code': 13510798915669745, 'n': 17, 'trace_an': 1}
-
id: 128744017
{'hecke_orbit_code': 13510798915669745, 'n': 18, 'trace_an': 0}
-
id: 128744018
{'hecke_orbit_code': 13510798915669745, 'n': 19, 'trace_an': -4}
-
id: 128744019
{'hecke_orbit_code': 13510798915669745, 'n': 20, 'trace_an': 0}
-
id: 128744020
{'hecke_orbit_code': 13510798915669745, 'n': 21, 'trace_an': 0}
-
id: 128744021
{'hecke_orbit_code': 13510798915669745, 'n': 22, 'trace_an': 0}
-
id: 128744022
{'hecke_orbit_code': 13510798915669745, 'n': 23, 'trace_an': 4}
-
id: 128744023
{'hecke_orbit_code': 13510798915669745, 'n': 24, 'trace_an': 0}
-
id: 128744024
{'hecke_orbit_code': 13510798915669745, 'n': 25, 'trace_an': 0}
-
id: 128744025
{'hecke_orbit_code': 13510798915669745, 'n': 26, 'trace_an': -2}
-
id: 128744026
{'hecke_orbit_code': 13510798915669745, 'n': 27, 'trace_an': 0}
-
id: 128744027
{'hecke_orbit_code': 13510798915669745, 'n': 28, 'trace_an': 4}
-
id: 128744028
{'hecke_orbit_code': 13510798915669745, 'n': 29, 'trace_an': -6}
-
id: 128744029
{'hecke_orbit_code': 13510798915669745, 'n': 30, 'trace_an': 0}
-
id: 128744030
{'hecke_orbit_code': 13510798915669745, 'n': 31, 'trace_an': 4}
-
id: 128744031
{'hecke_orbit_code': 13510798915669745, 'n': 32, 'trace_an': -5}
-
id: 128744032
{'hecke_orbit_code': 13510798915669745, 'n': 33, 'trace_an': 0}
-
id: 128744033
{'hecke_orbit_code': 13510798915669745, 'n': 34, 'trace_an': -1}
-
id: 128744034
{'hecke_orbit_code': 13510798915669745, 'n': 35, 'trace_an': 0}
-
id: 128744035
{'hecke_orbit_code': 13510798915669745, 'n': 36, 'trace_an': 0}
-
id: 128744036
{'hecke_orbit_code': 13510798915669745, 'n': 37, 'trace_an': 2}
-
id: 128744037
{'hecke_orbit_code': 13510798915669745, 'n': 38, 'trace_an': 4}
-
id: 128744038
{'hecke_orbit_code': 13510798915669745, 'n': 39, 'trace_an': 0}
-
id: 128744039
{'hecke_orbit_code': 13510798915669745, 'n': 40, 'trace_an': 0}
-
id: 128744040
{'hecke_orbit_code': 13510798915669745, 'n': 41, 'trace_an': 6}
-
id: 128744041
{'hecke_orbit_code': 13510798915669745, 'n': 42, 'trace_an': 0}
-
id: 128744042
{'hecke_orbit_code': 13510798915669745, 'n': 43, 'trace_an': -4}
-
id: 128744043
{'hecke_orbit_code': 13510798915669745, 'n': 44, 'trace_an': 0}
-
id: 128744044
{'hecke_orbit_code': 13510798915669745, 'n': 45, 'trace_an': 0}
-
id: 128744045
{'hecke_orbit_code': 13510798915669745, 'n': 46, 'trace_an': -4}
-
id: 128744046
{'hecke_orbit_code': 13510798915669745, 'n': 47, 'trace_an': 0}
-
id: 128744047
{'hecke_orbit_code': 13510798915669745, 'n': 48, 'trace_an': 0}
-
id: 128744048
{'hecke_orbit_code': 13510798915669745, 'n': 49, 'trace_an': 9}
-
id: 128744049
{'hecke_orbit_code': 13510798915669745, 'n': 50, 'trace_an': 0}
-
id: 128744050
{'hecke_orbit_code': 13510798915669745, 'n': 51, 'trace_an': 0}
-
id: 128744051
{'hecke_orbit_code': 13510798915669745, 'n': 52, 'trace_an': -2}
-
id: 128744052
{'hecke_orbit_code': 13510798915669745, 'n': 53, 'trace_an': 6}
-
id: 128744053
{'hecke_orbit_code': 13510798915669745, 'n': 54, 'trace_an': 0}
-
id: 128744054
{'hecke_orbit_code': 13510798915669745, 'n': 55, 'trace_an': 0}
-
id: 128744055
{'hecke_orbit_code': 13510798915669745, 'n': 56, 'trace_an': -12}
-
id: 128744056
{'hecke_orbit_code': 13510798915669745, 'n': 57, 'trace_an': 0}
-
id: 128744057
{'hecke_orbit_code': 13510798915669745, 'n': 58, 'trace_an': 6}
-
id: 128744058
{'hecke_orbit_code': 13510798915669745, 'n': 59, 'trace_an': 12}
-
id: 128744059
{'hecke_orbit_code': 13510798915669745, 'n': 60, 'trace_an': 0}
-
id: 128744060
{'hecke_orbit_code': 13510798915669745, 'n': 61, 'trace_an': -10}
-
id: 128744061
{'hecke_orbit_code': 13510798915669745, 'n': 62, 'trace_an': -4}
-
id: 128744062
{'hecke_orbit_code': 13510798915669745, 'n': 63, 'trace_an': 0}
-
id: 128744063
{'hecke_orbit_code': 13510798915669745, 'n': 64, 'trace_an': 7}
-
id: 128744064
{'hecke_orbit_code': 13510798915669745, 'n': 65, 'trace_an': 0}
-
id: 128744065
{'hecke_orbit_code': 13510798915669745, 'n': 66, 'trace_an': 0}
-
id: 128744066
{'hecke_orbit_code': 13510798915669745, 'n': 67, 'trace_an': -4}
-
id: 128744067
{'hecke_orbit_code': 13510798915669745, 'n': 68, 'trace_an': -1}
-
id: 128744068
{'hecke_orbit_code': 13510798915669745, 'n': 69, 'trace_an': 0}
-
id: 128744069
{'hecke_orbit_code': 13510798915669745, 'n': 70, 'trace_an': 0}
-
id: 128744070
{'hecke_orbit_code': 13510798915669745, 'n': 71, 'trace_an': 4}
-
id: 128744071
{'hecke_orbit_code': 13510798915669745, 'n': 72, 'trace_an': 0}
-
id: 128744072
{'hecke_orbit_code': 13510798915669745, 'n': 73, 'trace_an': 6}
-
id: 128744073
{'hecke_orbit_code': 13510798915669745, 'n': 74, 'trace_an': -2}
-
id: 128744074
{'hecke_orbit_code': 13510798915669745, 'n': 75, 'trace_an': 0}
-
id: 128744075
{'hecke_orbit_code': 13510798915669745, 'n': 76, 'trace_an': 4}
-
id: 128744076
{'hecke_orbit_code': 13510798915669745, 'n': 77, 'trace_an': 0}
-
id: 128744077
{'hecke_orbit_code': 13510798915669745, 'n': 78, 'trace_an': 0}
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