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mf_newforms • Show schema
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{'Nk2': 2080, 'analytic_conductor': 4.15222090510658, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [13, -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': [520, 1, [391, 261, 417, 41], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-2, 2, 1]], [11, [6, 6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666440, 'hecke_ring_generator_nbound': 3, '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': True, 'label': '520.2.a.d', 'level': 520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '520.2.a.d', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{3}-q^{5}-2\\beta q^{7}+(1-2\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '520.2.a', 'trace_display': [0, -2, -2, 0], 'trace_hash': 308525198727880117, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.064', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '59.351', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, 0, -2, 0, -2, 0, 0, 0, 2, 0, -6, 0, 2, 0, 2, 0, 0, 0, -10, 0, -12, 0, -6, 0, 2, 0, -8, 0, -4, 0, -6, 0, 12, 0, 0, 0, 8, 0, -2, 0, -16, 0, -2, 0, -2, 0, -16, 0, 10, 0, -12, 0, 16, 0, 6, 0, 4, 0, -14, 0, -4, 0, 24, 0, -2, 0, 4, 0, 24, 0, 6, 0, 0, 0, -2, 0, -12, 0, 12, 0, 2, 0, 16, 0, 0, 0, 16, 0, 4, 0, 0, 0, 12, 0, 10, 0, 4, 0, -18, 0, -20, 0, -10, 0, 12, 0, -18, 0, -12, 0, 16, 0, 8, 0, 6, 0, 2, 0, 24, 0, 2, 0, 28, 0, -2, 0, 10, 0, 8, 0, 8, 0, 12, 0, 8, 0, -12, 0, -4, 0, 28, 0, -6, 0, 4, 0, -10, 0, -20, 0, -14, 0, 24, 0, 6, 0, 28, 0, -28, 0, -36, 0, -4, 0, -12, 0, 8, 0, 2, 0, 2, 0, -24, 0, 0, 0, -4, 0, 0, 0, -12, 0, 16, 0, -8, 0, -12, 0, 0, 0, 24, 0, 28, 0, 2, 0, -12, 0, 16, 0, -52, 0, -24, 0, 16, 0, -42, 0, 24, 0, 8, 0, -36, 0, 2, 0, -12, 0, 0, 0, 0, 0, 16, 0, 2, 0, -44, 0, -8, 0, 48, 0, -12, 0, 16, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 1], [0, 0], [-1, 0], [0, 0], [0, -2], [0, 0], [1, -2], [0, 0], [-3, 1], [0, 0], [1, 0], [0, 0], [1, -1], [0, 0], [0, -2], [0, 0], [-5, -1], [0, 0], [-6, 2], [0, 0], [-3, 3], [0, 0], [1, 0], [0, 0], [-4, 0], [0, 0], [-2, 2], [0, 0], [-3, 1], [0, 0], [6, -4], [0, 0], [0, 2], [0, 0], [4, 4], [0, 0], [-1, 1], [0, 0], [-8, 2], [0, 0], [-1, 1], [0, 0], [-1, 2], [0, 0], [-8, 2], [0, 0], [5, 0], [0, 0], [-6, 2], [0, 0], [8, -2], [0, 0], [3, -1], [0, 0], [2, -4], [0, 0], [-7, -3], [0, 0], [-2, 2], [0, 0], [12, -2], [0, 0], [-1, 0], [0, 0], [2, -8], [0, 0], [12, -6], [0, 0], [3, -5], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [-6, 6], [0, 0], [6, 2], [0, 0], [1, 2], [0, 0], [8, -2], [0, 0], [0, 2], [0, 0], [8, -4], [0, 0], [2, 4], [0, 0], [0, -2], [0, 0], [6, -4], [0, 0], [5, 1], [0, 0], [2, 8], [0, 0], [-9, 7], [0, 0]], 'ap': [[0, 0], [-1, 1], [-1, 0], [0, -2], [-3, 1], [1, 0], [0, -2], [-5, -1], [-3, 3], [-2, 2], [-3, 1], [4, 4], [-8, 2], [-1, 1], [-8, 2], [8, -2], [-7, -3], [-2, 2], [2, -8], [3, -5], [0, 0], [6, 2], [8, -2], [2, 4], [2, 8], [-10, -4], [-5, 1], [-9, -3], [-6, 0], [4, 6], [5, 7], [4, 4], [-6, -4], [-2, 6], [-10, -8], [-7, 1], [14, 0], [-2, 8], [4, -6], [-12, 6], [0, -8], [-6, -10], [12, 4], [14, 0], [-6, -4], [8, -4], [4, -12], [8, 6], [-22, 4], [-4, -2], [-6, -8], [3, -13], [-8, -6], [-10, 2], [-2, 8], [9, -9], [2, -8], [13, -3], [16, -6], [-20, 6], [-21, -3], [-12, 8], [-12, -2], [-10, 2], [-4, -14], [-8, -12], [3, 15], [16, -6], [21, -5], [12, 10], [-12, -8], [31, 3], [11, -11], [-18, 0], [-19, 5], [-20, -6], [-2, 16], [16, 0], [18, 12], [-20, -10], [-6, -10], [-2, 12], [-3, 17], [6, 12], [8, 0], [7, -7], [8, -10], [-2, 12], [8, -2], [-10, -12], [11, -7], [-17, 3], [30, 4], [10, -2], [-25, -5], [-17, 5], [-4, -6], [6, 14], [19, 5], [8, 2], [15, 5], [28, -4], [-17, 1], [-6, 6], [-2, 14], [16, 0], [-10, 16], [-2, -4], [10, 6], [26, 8], [5, -1], [-30, 8], [-18, 0], [-31, -3], [19, 7], [-18, 4], [-20, 2], [-3, -9], [18, -8], [38, 2], [-10, 12], [-12, 2], [-32, 6], [-6, 16], [-25, -5], [18, 0], [-36, 6], [32, 4], [-5, -19], [14, -8], [-9, -9], [0, -2], [-14, 2], [16, 2], [18, -16], [6, 12], [24, 8], [-16, 2], [2, 4], [-6, -26], [23, 3], [-6, -4], [-33, 5], [40, 6], [-22, 6], [21, 5], [-16, -20], [-26, 0], [-10, 10], [-12, 18], [-14, -16], [10, -6], [-17, 9], [3, -11], [-5, -7], [-8, -12], [-2, 18], [-24, 14], [-2, -12], [0, 10], [-12, 10], [10, -20], [14, 20], [40, 0], [0, 32], [22, 20], [-16, 16], [-20, -6]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 13510798915666440, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '520.2.a.d', 'level': 520, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [13, -1]], 2, 1], [[[2, -1], [5, -1], [13, -1]], 1, 1], [[[2, 1], [5, -1], [13, 1]], 2, 1], [[[2, -1], [5, -1], [13, 1]], 2, 1], [[[2, -1], [5, 1], [13, 1]], 2, 1], [[[2, 1], [5, 1], [13, 1]], 1, 1], [[[2, -1], [5, 1], [13, -1]], 2, 1]], 'ALdims': [1, 2, 2, 0, 2, 2, 2, 1], 'Nk2': 2080, 'analytic_conductor': 4.15222090510658, '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': [520, 1, [391, 261, 417, 41], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 77, 'dim': 12, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 33554952, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2], 'label': '520.2.a', 'level': 520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 92, 'mf_new_dim': 12, 'num_forms': 7, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 168, 'trace_bound': 11, 'trace_display': [0, -4, -2, 0], 'traces': [12, 0, -4, 0, -2, 0, 0, 0, 20, 0, -4, 0, -2, 0, 0, 0, 8, 0, -12, 0, 8, 0, 0, 0, 12, 0, -16, 0, 8, 0, 0, 0, 16, 0, 0, 0, -20, 0, 0, 0, 0, 0, -12, 0, 6, 0, 0, 0, -20, 0, -8, 0, 4, 0, 0, 0, 16, 0, -12, 0, -16, 0, 0, 0, -4, 0, -8, 0, -16, 0, 16, 0, 4, 0, -4, 0, -8, 0, -16, 0, 52, 0, 48, 0, -4, 0, 64, 0, 0, 0, 0, 0, -24, 0, -8, 0, -4, 0, 20, 0, -16, 0, 0, 0, 8, 0, -44, 0, -44, 0, -40, 0, -8, 0, 12, 0, -10, 0, 64, 0, 4, 0, -56, 0, -2, 0, 24, 0, 8, 0, 0, 0, 8, 0, -24, 0, -28, 0, -8, 0, 24, 0, 0, 0, -20, 0, -36, 0, -4, 0, 0, 0, 8, 0, -4, 0, 36, 0, -16, 0, -24, 0, -56, 0, -8, 0, 16, 0, 12, 0, -84, 0, -12, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -8, 0, -8, 0, 32, 0, -16, 0, -4, 0, 12, 0, -28, 0, 32, 0, -56, 0, 32, 0, 36, 0, 40, 0, -8, 0, -32, 0, -24, 0, 16, 0, -56, 0, 8, 0, 12, 0, 80, 0, 20, 0, 120, 0, 36, 0, 96, 0, 0, 0, -16, 0, 0, 0, 48, 0, 16, 0, -12, 0, -18, 0, -8, 0, -24, 0, -24, 0, 72, 0, 0, 0, 16, 0, -32, 0, -40, 0, 120, 0, -8, 0, 56, 0, 16, 0, 0, 0, -8, 0, -4, 0, 20, 0, -40, 0, -24, 0, -52, 0, 24, 0, -32, 0, 4, 0, 16, 0, -4, 0, 16, 0, -48, 0, -4, 0, 40, 0, 56, 0, 20, 0, -16, 0, -64, 0, 48, 0, -48, 0, 0, 0, 60, 0, -16, 0, -40, 0, 40, 0, -2, 0, 64, 0, -64, 0, 28, 0, -84, 0, -40, 0, -16, 0, 136, 0, 80, 0, 0, 0, -24, 0, 44, 0, 60, 0, -24, 0, -68, 0, -20, 0, -80, 0, 8, 0, -28, 0, -156, 0, 8, 0, -32, 0, -64, 0, 96, 0, 36, 0, 0, 0, -4, 0, -52, 0, 48, 0, -64, 0, -8, 0, -52, 0, -40, 0, -32, 0, -64, 0, 24, 0, -4, 0, -32, 0, 112, 0, 12, 0, -18, 0, 8, 0, -24, 0, -64, 0, 120, 0, -24, 0, 32, 0, -56, 0, 20, 0, 96, 0, 8, 0, -96, 0, 24, 0, 24, 0, 24, 0, -24, 0, -24, 0, 0, 0, -44, 0, -28, 0, -28, 0, -160, 0, 24, 0, 40, 0, -40, 0, 0, 0, -4, 0, 96, 0, -36, 0, 16, 0, 64, 0, 52, 0, 16, 0, -128, 0, -32, 0, -12, 0, -60, 0, -168, 0, 24, 0, 96, 0, 24, 0, 16, 0, 88, 0, -56, 0, 128, 0, 56, 0, 24, 0, 28, 0, -56, 0, -88, 0, -20, 0, -4, 0, 52, 0, -64, 0, 240, 0, 60, 0, 40, 0, 64, 0, -16, 0, 4, 0, 8, 0, 0, 0, -28, 0, -132, 0, -12, 0, 32, 0, 0, 0, -36, 0, 84, 0, -224, 0, 8, 0, -4, 0, -64, 0, 32, 0, -16, 0, -16, 0, 124, 0, -16, 0, 208, 0, -28, 0, 12, 0, -128, 0, 48, 0, -56, 0, 0, 0, 0, 0, 100, 0, 48, 0, -32, 0, -16, 0, -12, 0, -88, 0, 64, 0, 192, 0, -132, 0, -32, 0, -80, 0, -128, 0, 40, 0, 136, 0, 6, 0, 64, 0, 32, 0, -16, 0, -92, 0, 16, 0, -84, 0, -60, 0, -160, 0, -32, 0, 12, 0, 56, 0, 8, 0, -24, 0, 64, 0, 28, 0, 46, 0, -24, 0, -8, 0, -160, 0, -32, 0, 64, 0, 24, 0, 160, 0, -108, 0, -40, 0, 36, 0, 72, 0, 44, 0, 0, 0, 8, 0, -24, 0, -24, 0, -48, 0, 136, 0, -16, 0, -68, 0, -32, 0, 24, 0, -24, 0, 0, 0, 96, 0, 8, 0, -164, 0, -216, 0, -72, 0, 96, 0, 104, 0, -112, 0, -72, 0, -72, 0, 64, 0, -92, 0, 96, 0, 48, 0, 12, 0, -24, 0, 48, 0, -72, 0, 40, 0, 8, 0, -64, 0, 44, 0, -24, 0, -12, 0, 32, 0, -88, 0, 52, 0, -8, 0, 96, 0, 0, 0, 112, 0, -88, 0, 176, 0, 144, 0, -28, 0, 84, 0, -136, 0, -112, 0, 32, 0, -68, 0, -16, 0, 24, 0, 24, 0, 172, 0, 0, 0, -64, 0, 88, 0, -96, 0, 304, 0, -8, 0, 0, 0, -128, 0, -96, 0, -28, 0, 88, 0, 60, 0, 0, 0, 16, 0, -72, 0, 72, 0, 24, 0, -16, 0, 52, 0, -8, 0, -24, 0, 96, 0, 0, 0, 84, 0, 40, 0, 16, 0, 64, 0, 48, 0, 64, 0, 40, 0, 32, 0, -32, 0, -72, 0, 20, 0, 280, 0, -2, 0, 64, 0, 120, 0, 144, 0, -36, 0, -80, 0, -8, 0, 152, 0, 144, 0, -32, 0, -8, 0, -76, 0, 16, 0, -8, 0, -276, 0, 0, 0, -60, 0, 104, 0, -112, 0, -140, 0, -8, 0, -88, 0, -24, 0, 148, 0, 24, 0, 24, 0, 56, 0, -8, 0, -24, 0, -192, 0, -20, 0, -44, 0, 96, 0, -80, 0, -104, 0, 72, 0, -64, 0, -32, 0, -8, 0, 60, 0, -20, 0, 40, 0, -24, 0, -108, 0, 224, 0, -96, 0, 8, 0, -56, 0, -60, 0, 176, 0, 32, 0, -176, 0, 8, 0, -184, 0, -72, 0, -64, 0, 144, 0, 32, 0, -108, 0, -52, 0, -40, 0, -64, 0, -80, 0, 144, 0, -144, 0, 0, 0, 52, 0, -8, 0, -252, 0, 160, 0, -8, 0, 256, 0, 176, 0, -208, 0, 64, 0, 0, 0, -4, 0, -128, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 364500
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '520.2.a.d', 'target_level': 520, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 364501
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1040.2.a.m', 'target_level': 1040, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 364502
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2600.2.a.u', 'target_level': 2600, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 364503
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2600.2.d.l', 'target_level': 2600, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 364504
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4160.2.a.v', 'target_level': 4160, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 364505
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '4160.2.a.bl', 'target_level': 4160, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 364506
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '4680.2.a.be', 'target_level': 4680, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 364507
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '5200.2.a.bo', 'target_level': 5200, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 364508
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '6760.2.a.p', 'target_level': 6760, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 364509
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '520.2.a.d', 'source_level': 520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '9360.2.a.cq', 'target_level': 9360, 'twist_class_label': '520.2.a.d', 'twist_class_level': 520, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 996625
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666440, 'p': 2}
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id: 996626
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 3}
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id: 996627
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13510798915666440, 'p': 5}
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id: 996628
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 7}
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id: 996629
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 11}
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id: 996630
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13510798915666440, 'p': 13}
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id: 996631
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 17}
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id: 996632
{'charpoly_factorization': [[[22, 10, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 19}
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id: 996633
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 23}
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id: 996634
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 29}
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id: 996635
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 31}
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id: 996636
{'charpoly_factorization': [[[-32, -8, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 37}
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id: 996637
{'charpoly_factorization': [[[52, 16, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 41}
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id: 996638
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 43}
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id: 996639
{'charpoly_factorization': [[[52, 16, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 47}
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id: 996640
{'charpoly_factorization': [[[52, -16, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 53}
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id: 996641
{'charpoly_factorization': [[[22, 14, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 59}
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id: 996642
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 61}
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id: 996643
{'charpoly_factorization': [[[-188, -4, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 67}
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id: 996644
{'charpoly_factorization': [[[-66, -6, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 71}
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id: 996645
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666440, 'p': 73}
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id: 996646
{'charpoly_factorization': [[[24, -12, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 79}
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id: 996647
{'charpoly_factorization': [[[52, -16, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 83}
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id: 996648
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 89}
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id: 996649
{'charpoly_factorization': [[[-188, -4, 1], 1]], 'hecke_orbit_code': 13510798915666440, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '520.2.a.d', 'level': 520, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 125921000
{'hecke_orbit_code': 13510798915666440, 'n': 1, 'trace_an': 2}
-
id: 125921001
{'hecke_orbit_code': 13510798915666440, 'n': 2, 'trace_an': 0}
-
id: 125921002
{'hecke_orbit_code': 13510798915666440, 'n': 3, 'trace_an': -2}
-
id: 125921003
{'hecke_orbit_code': 13510798915666440, 'n': 4, 'trace_an': 0}
-
id: 125921004
{'hecke_orbit_code': 13510798915666440, 'n': 5, 'trace_an': -2}
-
id: 125921005
{'hecke_orbit_code': 13510798915666440, 'n': 6, 'trace_an': 0}
-
id: 125921006
{'hecke_orbit_code': 13510798915666440, 'n': 7, 'trace_an': 0}
-
id: 125921007
{'hecke_orbit_code': 13510798915666440, 'n': 8, 'trace_an': 0}
-
id: 125921008
{'hecke_orbit_code': 13510798915666440, 'n': 9, 'trace_an': 2}
-
id: 125921009
{'hecke_orbit_code': 13510798915666440, 'n': 10, 'trace_an': 0}
-
id: 125921010
{'hecke_orbit_code': 13510798915666440, 'n': 11, 'trace_an': -6}
-
id: 125921011
{'hecke_orbit_code': 13510798915666440, 'n': 12, 'trace_an': 0}
-
id: 125921012
{'hecke_orbit_code': 13510798915666440, 'n': 13, 'trace_an': 2}
-
id: 125921013
{'hecke_orbit_code': 13510798915666440, 'n': 14, 'trace_an': 0}
-
id: 125921014
{'hecke_orbit_code': 13510798915666440, 'n': 15, 'trace_an': 2}
-
id: 125921015
{'hecke_orbit_code': 13510798915666440, 'n': 16, 'trace_an': 0}
-
id: 125921016
{'hecke_orbit_code': 13510798915666440, 'n': 17, 'trace_an': 0}
-
id: 125921017
{'hecke_orbit_code': 13510798915666440, 'n': 18, 'trace_an': 0}
-
id: 125921018
{'hecke_orbit_code': 13510798915666440, 'n': 19, 'trace_an': -10}
-
id: 125921019
{'hecke_orbit_code': 13510798915666440, 'n': 20, 'trace_an': 0}
-
id: 125921020
{'hecke_orbit_code': 13510798915666440, 'n': 21, 'trace_an': -12}
-
id: 125921021
{'hecke_orbit_code': 13510798915666440, 'n': 22, 'trace_an': 0}
-
id: 125921022
{'hecke_orbit_code': 13510798915666440, 'n': 23, 'trace_an': -6}
-
id: 125921023
{'hecke_orbit_code': 13510798915666440, 'n': 24, 'trace_an': 0}
-
id: 125921024
{'hecke_orbit_code': 13510798915666440, 'n': 25, 'trace_an': 2}
-
id: 125921025
{'hecke_orbit_code': 13510798915666440, 'n': 26, 'trace_an': 0}
-
id: 125921026
{'hecke_orbit_code': 13510798915666440, 'n': 27, 'trace_an': -8}
-
id: 125921027
{'hecke_orbit_code': 13510798915666440, 'n': 28, 'trace_an': 0}
-
id: 125921028
{'hecke_orbit_code': 13510798915666440, 'n': 29, 'trace_an': -4}
-
id: 125921029
{'hecke_orbit_code': 13510798915666440, 'n': 30, 'trace_an': 0}
-
id: 125921030
{'hecke_orbit_code': 13510798915666440, 'n': 31, 'trace_an': -6}
-
id: 125921031
{'hecke_orbit_code': 13510798915666440, 'n': 32, 'trace_an': 0}
-
id: 125921032
{'hecke_orbit_code': 13510798915666440, 'n': 33, 'trace_an': 12}
-
id: 125921033
{'hecke_orbit_code': 13510798915666440, 'n': 34, 'trace_an': 0}
-
id: 125921034
{'hecke_orbit_code': 13510798915666440, 'n': 35, 'trace_an': 0}
-
id: 125921035
{'hecke_orbit_code': 13510798915666440, 'n': 36, 'trace_an': 0}
-
id: 125921036
{'hecke_orbit_code': 13510798915666440, 'n': 37, 'trace_an': 8}
-
id: 125921037
{'hecke_orbit_code': 13510798915666440, 'n': 38, 'trace_an': 0}
-
id: 125921038
{'hecke_orbit_code': 13510798915666440, 'n': 39, 'trace_an': -2}
-
id: 125921039
{'hecke_orbit_code': 13510798915666440, 'n': 40, 'trace_an': 0}
-
id: 125921040
{'hecke_orbit_code': 13510798915666440, 'n': 41, 'trace_an': -16}
-
id: 125921041
{'hecke_orbit_code': 13510798915666440, 'n': 42, 'trace_an': 0}
-
id: 125921042
{'hecke_orbit_code': 13510798915666440, 'n': 43, 'trace_an': -2}
-
id: 125921043
{'hecke_orbit_code': 13510798915666440, 'n': 44, 'trace_an': 0}
-
id: 125921044
{'hecke_orbit_code': 13510798915666440, 'n': 45, 'trace_an': -2}
-
id: 125921045
{'hecke_orbit_code': 13510798915666440, 'n': 46, 'trace_an': 0}
-
id: 125921046
{'hecke_orbit_code': 13510798915666440, 'n': 47, 'trace_an': -16}
-
id: 125921047
{'hecke_orbit_code': 13510798915666440, 'n': 48, 'trace_an': 0}
-
id: 125921048
{'hecke_orbit_code': 13510798915666440, 'n': 49, 'trace_an': 10}
-
id: 125921049
{'hecke_orbit_code': 13510798915666440, 'n': 50, 'trace_an': 0}
-
id: 125921050
{'hecke_orbit_code': 13510798915666440, 'n': 51, 'trace_an': -12}
-
id: 125921051
{'hecke_orbit_code': 13510798915666440, 'n': 52, 'trace_an': 0}
-
id: 125921052
{'hecke_orbit_code': 13510798915666440, 'n': 53, 'trace_an': 16}
-
id: 125921053
{'hecke_orbit_code': 13510798915666440, 'n': 54, 'trace_an': 0}
-
id: 125921054
{'hecke_orbit_code': 13510798915666440, 'n': 55, 'trace_an': 6}
-
id: 125921055
{'hecke_orbit_code': 13510798915666440, 'n': 56, 'trace_an': 0}
-
id: 125921056
{'hecke_orbit_code': 13510798915666440, 'n': 57, 'trace_an': 4}
-
id: 125921057
{'hecke_orbit_code': 13510798915666440, 'n': 58, 'trace_an': 0}
-
id: 125921058
{'hecke_orbit_code': 13510798915666440, 'n': 59, 'trace_an': -14}
-
id: 125921059
{'hecke_orbit_code': 13510798915666440, 'n': 60, 'trace_an': 0}
-
id: 125921060
{'hecke_orbit_code': 13510798915666440, 'n': 61, 'trace_an': -4}
-
id: 125921061
{'hecke_orbit_code': 13510798915666440, 'n': 62, 'trace_an': 0}
-
id: 125921062
{'hecke_orbit_code': 13510798915666440, 'n': 63, 'trace_an': 24}
-
id: 125921063
{'hecke_orbit_code': 13510798915666440, 'n': 64, 'trace_an': 0}
-
id: 125921064
{'hecke_orbit_code': 13510798915666440, 'n': 65, 'trace_an': -2}
-
id: 125921065
{'hecke_orbit_code': 13510798915666440, 'n': 66, 'trace_an': 0}
-
id: 125921066
{'hecke_orbit_code': 13510798915666440, 'n': 67, 'trace_an': 4}
-
id: 125921067
{'hecke_orbit_code': 13510798915666440, 'n': 68, 'trace_an': 0}
-
id: 125921068
{'hecke_orbit_code': 13510798915666440, 'n': 69, 'trace_an': 24}
-
id: 125921069
{'hecke_orbit_code': 13510798915666440, 'n': 70, 'trace_an': 0}
-
id: 125921070
{'hecke_orbit_code': 13510798915666440, 'n': 71, 'trace_an': 6}
-
id: 125921071
{'hecke_orbit_code': 13510798915666440, 'n': 72, 'trace_an': 0}
-
id: 125921072
{'hecke_orbit_code': 13510798915666440, 'n': 73, 'trace_an': 0}
-
id: 125921073
{'hecke_orbit_code': 13510798915666440, 'n': 74, 'trace_an': 0}
-
id: 125921074
{'hecke_orbit_code': 13510798915666440, 'n': 75, 'trace_an': -2}
-
id: 125921075
{'hecke_orbit_code': 13510798915666440, 'n': 76, 'trace_an': 0}
-
id: 125921076
{'hecke_orbit_code': 13510798915666440, 'n': 77, 'trace_an': -12}
-
id: 125921077
{'hecke_orbit_code': 13510798915666440, 'n': 78, 'trace_an': 0}
-
id: 125921078
{'hecke_orbit_code': 13510798915666440, 'n': 79, 'trace_an': 12}
-
id: 125921079
{'hecke_orbit_code': 13510798915666440, 'n': 80, 'trace_an': 0}
-
id: 125921080
{'hecke_orbit_code': 13510798915666440, 'n': 81, 'trace_an': 2}
-
id: 125921081
{'hecke_orbit_code': 13510798915666440, 'n': 82, 'trace_an': 0}
-
id: 125921082
{'hecke_orbit_code': 13510798915666440, 'n': 83, 'trace_an': 16}
-
id: 125921083
{'hecke_orbit_code': 13510798915666440, 'n': 84, 'trace_an': 0}
-
id: 125921084
{'hecke_orbit_code': 13510798915666440, 'n': 85, 'trace_an': 0}
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