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{'Nk2': 19200, 'analytic_conductor': 38.32819297021459, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -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': [4800, 1, [4351, 901, 1601, 577], [1, 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': [[7, [4, 1]], [11, [0, 1]], [13, [4, 1]], [19, [-8, 1]], [23, [-4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288300224, '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': '4800.2.a.c', 'level': 4800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '480.2.f.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/4800/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4800.2.a', 'trace_display': [0, -1, 0, -4], 'trace_hash': 752198259295708245, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.997', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.992', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [0], [0], [-4], [0], [1], [0], [0], [0], [-4], [0], [0], [0], [0], [0], [8], [0], [4], [0], [4], [0], [0], [0], [-1], [0], [6], [0], [-8], [0], [0], [0], [0], [0], [4], [0], [4], [0], [6], [0], [-4], [0], [0], [0], [-4], [0], [9], [0], [0], [0], [12], [0], [0], [0], [-8], [0], [0], [0], [6], [0], [-4], [0], [0], [0], [-12], [0], [-4], [0], [-16], [0], [0], [0], [0], [0], [0], [0], [-8], [0], [1], [0], [12], [0], [0], [0], [-6], [0], [-10], [0], [16], [0], [8], [0], [0], [0], [8], [0], [0], [0]], 'ap': [[0], [-1], [0], [-4], [0], [-4], [0], [8], [4], [6], [-8], [4], [6], [-4], [-4], [12], [0], [6], [-12], [-16], [0], [-8], [12], [-10], [8], [-14], [-12], [-12], [10], [-8], [-4], [16], [0], [-8], [-14], [-8], [-4], [-4], [-4], [-4], [16], [-14], [16], [24], [-12], [8], [-8], [4], [4], [-2], [8], [-16], [14], [16], [-24], [-12], [-6], [24], [4], [-26], [-20], [20], [-12], [0], [-8], [12], [-8], [-16], [-28], [-10], [-24], [0], [28], [-20], [8], [-12], [-30], [-28], [-30], [10], [-16], [14], [-16], [40], [8], [-20], [-30], [-8], [-22], [20], [4], [32], [-4], [-32], [24], [-28], [6], [10], [12], [10], [36], [4], [28], [10], [-40], [-16], [-28], [-8], [32], [-26], [-20], [20], [-8], [24], [8], [-34], [12], [12], [20], [0], [30], [8], [-12], [-36], [-8], [-42], [-2], [-16], [28], [4], [-40], [-12], [-8], [-12], [-6], [14], [28], [-12], [12], [22], [-8], [-18], [-44], [36], [26], [-32], [-12], [48], [-56], [36], [28], [-2], [-4], [12], [20], [-32], [-24], [2], [16], [10], [20], [48], [12], [16], [-48], [-12], [-24], [28], [30], [-20], [0], [42], [-48], [16], [56], [-10], [40], [18], [-44], [10], [-4], [32], [4], [-24], [36], [-2], [12], [44], [-38], [-16], [-64], [-20], [-40], [-10], [-12], [-56], [-2], [44], [8], [36], [-10], [-56], [28], [30], [16], [-12], [-56], [-20], [6], [8], [-40], [14], [36], [68], [-16], [-26], [-4], [-30], [-68], [36], [-50], [-24], [-18], [68], [-12], [2], [24], [48], [44], [16], [-20], [-8], [56], [-74], [-4], [12], [-46], [44], [-48], [-16], [44], [24], [36], [6], [56], [48], [-4], [-32], [40], [4], [36], [2], [12], [-54], [-68], [64], [18], [-28], [-36], [56], [-76], [-60], [-66], [-76], [-48], [-40], [54], [42], [-20], [-12], [-70], [-28], [-16], [24], [16], [-60], [-12], [-10], [-10], [80], [4], [8], [-68], [66], [36], [80], [-40], [36], [24], [-78], [70], [-12], [8], [48], [36], [42], [40], [4], [-48], [-28], [40], [-28], [40], [-52], [8], [-40], [-12], [6], [-48], [-4], [-44], [30], [50], [-4], [-68], [38], [-48], [32], [-16], [-30], [-24], [8], [-42], [20], [-16], [-50], [56], [-84], [-36], [-36], [-42], [36], [8], [-52], [-24], [20], [-70], [-24], [22], [12], [28], [80], [2], [40], [-4], [0], [78], [-28], [0], [4], [-88], [-88], [38], [-60], [14], [24], [0], [-48], [-96], [84], [-68], [-70], [-52], [80], [20], [32], [-84], [4], [-10], [-16], [-56], [4], [18], [-8], [-28], [0], [0], [64], [-46], [72], [-6], [-64], [-52], [-8], [56], [36], [24], [-92], [-20], [-100], [-46], [-12], [0], [-28], [-80], [-24], [56], [86], [40], [14], [26], [16], [92], [-48], [2], [40], [4], [-62], [12], [16], [32], [-36], [76], [-8], [-80], [74], [-64], [-52], [48], [-44], [-86], [28], [92], [96], [88], [52], [-20], [26], [-56], [64]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288300224, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4800.2.a.c', 'level': 4800, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [5, 1]], 11, 11], [[[2, -1], [3, -1], [5, -1]], 12, 12], [[[2, 1], [3, -1], [5, -1]], 8, 7], [[[2, -1], [3, 1], [5, 1]], 10, 10], [[[2, -1], [3, 1], [5, -1]], 10, 10], [[[2, 1], [3, 1], [5, -1]], 10, 9], [[[2, 1], [3, 1], [5, 1]], 8, 8], [[[2, -1], [3, -1], [5, 1]], 7, 7]], 'ALdims': [8, 10, 11, 8, 10, 10, 7, 12], 'Nk2': 19200, 'analytic_conductor': 38.32819297021459, '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': [4800, 1, [4351, 901, 1601, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 889, 'dim': 76, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19, 23], 'hecke_orbit_code': 33559232, '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], 'label': '4800.2.a', 'level': 4800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1032, 'mf_new_dim': 76, 'num_forms': 74, 'plus_dim': 33, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, -64, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 24, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 24, 0, 0, 0, 8, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 40, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 8, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1223870
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '480.2.f.c', 'target_level': 480, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1223871
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '480.2.f.d', 'target_level': 480, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1223872
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '960.2.f.d', 'target_level': 960, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1223873
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '960.2.f.e', 'target_level': 960, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1223874
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1440.2.f.b', 'target_level': 1440, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1223875
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1440.2.f.d', 'target_level': 1440, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1223876
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2400.2.a.o', 'target_level': 2400, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1223877
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2400.2.a.p', 'target_level': 2400, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1223878
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2400.2.a.s', 'target_level': 2400, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1223879
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2400.2.a.t', 'target_level': 2400, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1223880
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2880.2.f.m', 'target_level': 2880, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1223881
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2880.2.f.o', 'target_level': 2880, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1223882
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3840.2.d.a', 'target_level': 3840, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1223883
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3840.2.d.p', 'target_level': 3840, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1223884
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3840.2.d.q', 'target_level': 3840, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1223885
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '3840.2.d.bf', 'target_level': 3840, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1223886
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4800.2.a.c', 'target_level': 4800, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1223887
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4800.2.a.e', 'target_level': 4800, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1223888
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '4800.2.a.cp', 'target_level': 4800, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1223889
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 70, 'target_is_minimal': False, 'target_label': '4800.2.a.cr', 'target_level': 4800, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1223890
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '7200.2.a.a', 'target_level': 7200, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1223891
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '7200.2.a.c', 'target_level': 7200, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1223892
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '7200.2.a.by', 'target_level': 7200, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1223893
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '4800.2.a.c', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '7200.2.a.ca', 'target_level': 7200, 'twist_class_label': '480.2.f.c', 'twist_class_level': 480, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3708700
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 2}
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id: 3708701
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 3}
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id: 3708702
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 5}
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id: 3708703
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 7}
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id: 3708704
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 11}
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id: 3708705
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 13}
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id: 3708706
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 17}
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id: 3708707
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 19}
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id: 3708708
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 23}
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id: 3708709
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 29}
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id: 3708710
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 31}
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id: 3708711
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 37}
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id: 3708712
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 41}
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id: 3708713
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 43}
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id: 3708714
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 47}
-
id: 3708715
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 53}
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id: 3708716
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 59}
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id: 3708717
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 61}
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id: 3708718
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 67}
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id: 3708719
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 71}
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id: 3708720
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 73}
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id: 3708721
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 79}
-
id: 3708722
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 83}
-
id: 3708723
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 89}
-
id: 3708724
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288300224, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '4800.2.a.c', 'level': 4800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 105054000
{'hecke_orbit_code': 9007199288300224, 'n': 1, 'trace_an': 1}
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id: 105054001
{'hecke_orbit_code': 9007199288300224, 'n': 2, 'trace_an': 0}
-
id: 105054002
{'hecke_orbit_code': 9007199288300224, 'n': 3, 'trace_an': -1}
-
id: 105054003
{'hecke_orbit_code': 9007199288300224, 'n': 4, 'trace_an': 0}
-
id: 105054004
{'hecke_orbit_code': 9007199288300224, 'n': 5, 'trace_an': 0}
-
id: 105054005
{'hecke_orbit_code': 9007199288300224, 'n': 6, 'trace_an': 0}
-
id: 105054006
{'hecke_orbit_code': 9007199288300224, 'n': 7, 'trace_an': -4}
-
id: 105054007
{'hecke_orbit_code': 9007199288300224, 'n': 8, 'trace_an': 0}
-
id: 105054008
{'hecke_orbit_code': 9007199288300224, 'n': 9, 'trace_an': 1}
-
id: 105054009
{'hecke_orbit_code': 9007199288300224, 'n': 10, 'trace_an': 0}
-
id: 105054010
{'hecke_orbit_code': 9007199288300224, 'n': 11, 'trace_an': 0}
-
id: 105054011
{'hecke_orbit_code': 9007199288300224, 'n': 12, 'trace_an': 0}
-
id: 105054012
{'hecke_orbit_code': 9007199288300224, 'n': 13, 'trace_an': -4}
-
id: 105054013
{'hecke_orbit_code': 9007199288300224, 'n': 14, 'trace_an': 0}
-
id: 105054014
{'hecke_orbit_code': 9007199288300224, 'n': 15, 'trace_an': 0}
-
id: 105054015
{'hecke_orbit_code': 9007199288300224, 'n': 16, 'trace_an': 0}
-
id: 105054016
{'hecke_orbit_code': 9007199288300224, 'n': 17, 'trace_an': 0}
-
id: 105054017
{'hecke_orbit_code': 9007199288300224, 'n': 18, 'trace_an': 0}
-
id: 105054018
{'hecke_orbit_code': 9007199288300224, 'n': 19, 'trace_an': 8}
-
id: 105054019
{'hecke_orbit_code': 9007199288300224, 'n': 20, 'trace_an': 0}
-
id: 105054020
{'hecke_orbit_code': 9007199288300224, 'n': 21, 'trace_an': 4}
-
id: 105054021
{'hecke_orbit_code': 9007199288300224, 'n': 22, 'trace_an': 0}
-
id: 105054022
{'hecke_orbit_code': 9007199288300224, 'n': 23, 'trace_an': 4}
-
id: 105054023
{'hecke_orbit_code': 9007199288300224, 'n': 24, 'trace_an': 0}
-
id: 105054024
{'hecke_orbit_code': 9007199288300224, 'n': 25, 'trace_an': 0}
-
id: 105054025
{'hecke_orbit_code': 9007199288300224, 'n': 26, 'trace_an': 0}
-
id: 105054026
{'hecke_orbit_code': 9007199288300224, 'n': 27, 'trace_an': -1}
-
id: 105054027
{'hecke_orbit_code': 9007199288300224, 'n': 28, 'trace_an': 0}
-
id: 105054028
{'hecke_orbit_code': 9007199288300224, 'n': 29, 'trace_an': 6}
-
id: 105054029
{'hecke_orbit_code': 9007199288300224, 'n': 30, 'trace_an': 0}
-
id: 105054030
{'hecke_orbit_code': 9007199288300224, 'n': 31, 'trace_an': -8}
-
id: 105054031
{'hecke_orbit_code': 9007199288300224, 'n': 32, 'trace_an': 0}
-
id: 105054032
{'hecke_orbit_code': 9007199288300224, 'n': 33, 'trace_an': 0}
-
id: 105054033
{'hecke_orbit_code': 9007199288300224, 'n': 34, 'trace_an': 0}
-
id: 105054034
{'hecke_orbit_code': 9007199288300224, 'n': 35, 'trace_an': 0}
-
id: 105054035
{'hecke_orbit_code': 9007199288300224, 'n': 36, 'trace_an': 0}
-
id: 105054036
{'hecke_orbit_code': 9007199288300224, 'n': 37, 'trace_an': 4}
-
id: 105054037
{'hecke_orbit_code': 9007199288300224, 'n': 38, 'trace_an': 0}
-
id: 105054038
{'hecke_orbit_code': 9007199288300224, 'n': 39, 'trace_an': 4}
-
id: 105054039
{'hecke_orbit_code': 9007199288300224, 'n': 40, 'trace_an': 0}
-
id: 105054040
{'hecke_orbit_code': 9007199288300224, 'n': 41, 'trace_an': 6}
-
id: 105054041
{'hecke_orbit_code': 9007199288300224, 'n': 42, 'trace_an': 0}
-
id: 105054042
{'hecke_orbit_code': 9007199288300224, 'n': 43, 'trace_an': -4}
-
id: 105054043
{'hecke_orbit_code': 9007199288300224, 'n': 44, 'trace_an': 0}
-
id: 105054044
{'hecke_orbit_code': 9007199288300224, 'n': 45, 'trace_an': 0}
-
id: 105054045
{'hecke_orbit_code': 9007199288300224, 'n': 46, 'trace_an': 0}
-
id: 105054046
{'hecke_orbit_code': 9007199288300224, 'n': 47, 'trace_an': -4}
-
id: 105054047
{'hecke_orbit_code': 9007199288300224, 'n': 48, 'trace_an': 0}
-
id: 105054048
{'hecke_orbit_code': 9007199288300224, 'n': 49, 'trace_an': 9}
-
id: 105054049
{'hecke_orbit_code': 9007199288300224, 'n': 50, 'trace_an': 0}
-
id: 105054050
{'hecke_orbit_code': 9007199288300224, 'n': 51, 'trace_an': 0}
-
id: 105054051
{'hecke_orbit_code': 9007199288300224, 'n': 52, 'trace_an': 0}
-
id: 105054052
{'hecke_orbit_code': 9007199288300224, 'n': 53, 'trace_an': 12}
-
id: 105054053
{'hecke_orbit_code': 9007199288300224, 'n': 54, 'trace_an': 0}
-
id: 105054054
{'hecke_orbit_code': 9007199288300224, 'n': 55, 'trace_an': 0}
-
id: 105054055
{'hecke_orbit_code': 9007199288300224, 'n': 56, 'trace_an': 0}
-
id: 105054056
{'hecke_orbit_code': 9007199288300224, 'n': 57, 'trace_an': -8}
-
id: 105054057
{'hecke_orbit_code': 9007199288300224, 'n': 58, 'trace_an': 0}
-
id: 105054058
{'hecke_orbit_code': 9007199288300224, 'n': 59, 'trace_an': 0}
-
id: 105054059
{'hecke_orbit_code': 9007199288300224, 'n': 60, 'trace_an': 0}
-
id: 105054060
{'hecke_orbit_code': 9007199288300224, 'n': 61, 'trace_an': 6}
-
id: 105054061
{'hecke_orbit_code': 9007199288300224, 'n': 62, 'trace_an': 0}
-
id: 105054062
{'hecke_orbit_code': 9007199288300224, 'n': 63, 'trace_an': -4}
-
id: 105054063
{'hecke_orbit_code': 9007199288300224, 'n': 64, 'trace_an': 0}
-
id: 105054064
{'hecke_orbit_code': 9007199288300224, 'n': 65, 'trace_an': 0}
-
id: 105054065
{'hecke_orbit_code': 9007199288300224, 'n': 66, 'trace_an': 0}
-
id: 105054066
{'hecke_orbit_code': 9007199288300224, 'n': 67, 'trace_an': -12}
-
id: 105054067
{'hecke_orbit_code': 9007199288300224, 'n': 68, 'trace_an': 0}
-
id: 105054068
{'hecke_orbit_code': 9007199288300224, 'n': 69, 'trace_an': -4}
-
id: 105054069
{'hecke_orbit_code': 9007199288300224, 'n': 70, 'trace_an': 0}
-
id: 105054070
{'hecke_orbit_code': 9007199288300224, 'n': 71, 'trace_an': -16}
-
id: 105054071
{'hecke_orbit_code': 9007199288300224, 'n': 72, 'trace_an': 0}
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