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mf_newforms • Show schema
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{'Nk2': 2160, 'analytic_conductor': 4.311921709149141, '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': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [540, 1, [271, 461, 217], [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, [1, 1]], [11, [6, 1]], [17, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925468, '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': True, 'label': '540.2.a.b', 'level': 540, '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': '540.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-q^{7}-6q^{11}-q^{13}-q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/540/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '540.2.a', 'trace_display': [0, 0, -1, -1], 'trace_hash': 1912371874913701785, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.972', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.946', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.924', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, 'traces': [1, 0, 0, 0, -1, 0, -1, 0, 0, 0, -6, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, -6, 0, 1, 0, 0, 0, -6, 0, 8, 0, 0, 0, 1, 0, -7, 0, 0, 0, 6, 0, -4, 0, 0, 0, -12, 0, -6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 11, 0, 0, 0, 1, 0, -7, 0, 0, 0, 6, 0, 11, 0, 0, 0, 6, 0, -1, 0, 0, 0, -6, 0, 0, 0, 0, 0, 12, 0, 1, 0, 0, 0, 1, 0, -13, 0, 0, 0, 0, 0, -13, 0, 0, 0, 18, 0, -10, 0, 0, 0, 18, 0, 6, 0, 0, 0, 0, 0, 25, 0, 0, 0, -1, 0, -16, 0, 0, 0, -12, 0, 1, 0, 0, 0, 18, 0, 5, 0, 0, 0, 6, 0, 6, 0, 0, 0, 12, 0, 11, 0, 0, 0, -8, 0, 2, 0, 0, 0, 6, 0, 11, 0, 0, 0, -12, 0, -12, 0, 0, 0, -12, 0, -1, 0, 0, 0, -6, 0, -7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 12, 0, -19, 0, 0, 0, -24, 0, 5, 0, 0, 0, 6, 0, -6, 0, 0, 0, 6, 0, 17, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, -16, 0, 0, 0, -6, 0, -10, 0, 0, 0, -24, 0, 12, 0, 0, 0, -30, 0, 17, 0, 0, 0, 6, 0, 1, 0, 0, 0, -6, 0, 36, 0, 0, 0, 0, 0, 7, 0, 0, 0, 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41, 0, 0, 0, 12, 0, 12, 0, 0, 0, 6, 0, 7, 0, 0, 0, 1, 0, 5, 0, 0, 0, 18, 0, -37, 0, 0, 0, -48, 0, 16, 0, 0, 0, 12, 0, 6, 0, 0, 0, -48, 0, 0, 0, 0, 0, 7, 0, -19, 0, 0, 0, -24, 0, 36, 0, 0, 0, 12, 0, -16, 0, 0, 0, -6, 0, -7, 0, 0, 0, -18, 0, 6, 0, 0, 0, 0, 0, -7, 0, 0, 0, 42, 0, -36, 0, 0, 0, -24, 0, -11, 0, 0, 0, 0, 0, -12, 0, 0, 0, -18, 0, 33, 0, 0, 0, 19, 0, -31, 0, 0, 0, 36, 0, -5, 0, 0, 0, 18, 0, -72, 0, 0, 0, 42, 0, 24, 0, 0, 0, 24, 0, 5, 0, 0, 0, -5, 0, -10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [-1], [0], [-1], [0], [0], [0], [-6], [0], [-1], [0], [0], [0], [0], [0], [-1], [0], [0], [0], [-6], [0], [1], [0], [0], [0], [-6], [0], [8], [0], [0], [0], [1], [0], [-7], [0], [0], [0], [6], [0], [-4], [0], [0], [0], [-12], [0], [-6], [0], [0], [0], [6], [0], [6], [0], [0], [0], [0], [0], [11], [0], [0], [0], [1], [0], [-7], [0], [0], [0], [6], [0], [11], [0], [0], [0], [6], [0], [-1], [0], [0], [0], [-6], [0], [0], [0], [0], [0], [12], [0], [1], [0], [0], [0], [1], [0], [-13], [0], [0], [0]], 'ap': [[0], [0], [-1], [-1], [-6], [-1], [0], [-1], [-6], [-6], [8], [-7], [6], [-4], [-12], [6], [0], [11], [-7], [6], [11], [-1], [-6], [12], [-13], [0], [-13], [18], [-10], [18], [-16], [-12], [18], [5], [12], [11], [2], [11], [-12], [-12], [-6], [-7], [12], [-19], [-24], [5], [17], [-16], [-6], [-10], [-24], [-30], [17], [-6], [0], [12], [-24], [-25], [2], [0], [-28], [-30], [-16], [0], [17], [-12], [-19], [23], [6], [-1], [36], [18], [23], [-7], [11], [-24], [0], [14], [6], [-31], [24], [-19], [18], [26], [8], [12], [-36], [-10], [12], [-13], [-12], [18], [23], [30], [32], [6], [-30], [30], [5], [-43], [35], [-12], [12], [24], [-13], [-31], [-6], [-6], [18], [14], [-13], [29], [-6], [11], [-25], [0], [-4], [30], [12], [-48], [-13], [17], [-12], [18], [-28], [-18], [5], [-6], [8], [-22], [20], [24], [-13], [23], [-42], [-37], [-6], [17], [0], [48], [-4], [-24], [17], [-36], [-7], [-12], [41], [-42], [41], [12], [5], [18], [-37], [-48], [-19], [-24], [-16], [-18], [-7], [42], [-24], [0], [-31], [36], [18], [42], [5], [-10]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660925468, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '540.2.a.b', 'level': 540, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1]], 2, 2], [[[2, -1], [3, 1], [5, 1]], 1, 1], [[[2, -1], [3, 1], [5, -1]], 1, 1], [[[2, -1], [3, -1], [5, 1]], 2, 2]], 'ALdims': [0, 0, 0, 0, 1, 1, 2, 2], 'Nk2': 2160, 'analytic_conductor': 4.311921709149141, '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': [540, 1, [271, 461, 217], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 91, 'dim': 6, 'eis_dim': 35, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 33554972, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1], 'label': '540.2.a', 'level': 540, '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': 126, 'mf_new_dim': 6, 'num_forms': 6, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 6, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [0, 0, 0, -6], 'traces': [6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 174, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 174, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, -294, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, 102, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 138, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -24, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 374942
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '540.2.a.b', 'target_level': 540, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 374943
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '540.2.a.e', 'target_level': 540, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 374944
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1620.2.i.d', 'target_level': 1620, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 374945
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1620.2.i.j', 'target_level': 1620, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 374946
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2160.2.a.h', 'target_level': 2160, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 374947
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2160.2.a.s', 'target_level': 2160, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 374948
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2700.2.a.k', 'target_level': 2700, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 374949
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2700.2.a.m', 'target_level': 2700, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 374950
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2700.2.d.a', 'target_level': 2700, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 374951
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2700.2.d.k', 'target_level': 2700, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 374952
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '8640.2.a.l', 'target_level': 8640, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 374953
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8640.2.a.s', 'target_level': 8640, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 374954
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '8640.2.a.br', 'target_level': 8640, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 374955
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '540.2.a.b', 'source_level': 540, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '8640.2.a.bu', 'target_level': 8640, 'twist_class_label': '540.2.a.b', 'twist_class_level': 540, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1022425
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 2}
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id: 1022426
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 3}
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id: 1022427
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 5}
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id: 1022428
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 7}
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id: 1022429
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 11}
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id: 1022430
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 13}
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id: 1022431
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 17}
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id: 1022432
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 19}
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id: 1022433
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 23}
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id: 1022434
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 29}
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id: 1022435
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 31}
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id: 1022436
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 37}
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id: 1022437
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 41}
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id: 1022438
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 43}
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id: 1022439
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 47}
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id: 1022440
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 53}
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id: 1022441
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 59}
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id: 1022442
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 61}
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id: 1022443
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 67}
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id: 1022444
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 71}
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id: 1022445
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 73}
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id: 1022446
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 79}
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id: 1022447
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 83}
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id: 1022448
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 89}
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id: 1022449
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 4503599660925468, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '540.2.a.b', 'level': 540, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 62624000
{'hecke_orbit_code': 4503599660925468, 'n': 1, 'trace_an': 1}
-
id: 62624001
{'hecke_orbit_code': 4503599660925468, 'n': 2, 'trace_an': 0}
-
id: 62624002
{'hecke_orbit_code': 4503599660925468, 'n': 3, 'trace_an': 0}
-
id: 62624003
{'hecke_orbit_code': 4503599660925468, 'n': 4, 'trace_an': 0}
-
id: 62624004
{'hecke_orbit_code': 4503599660925468, 'n': 5, 'trace_an': -1}
-
id: 62624005
{'hecke_orbit_code': 4503599660925468, 'n': 6, 'trace_an': 0}
-
id: 62624006
{'hecke_orbit_code': 4503599660925468, 'n': 7, 'trace_an': -1}
-
id: 62624007
{'hecke_orbit_code': 4503599660925468, 'n': 8, 'trace_an': 0}
-
id: 62624008
{'hecke_orbit_code': 4503599660925468, 'n': 9, 'trace_an': 0}
-
id: 62624009
{'hecke_orbit_code': 4503599660925468, 'n': 10, 'trace_an': 0}
-
id: 62624010
{'hecke_orbit_code': 4503599660925468, 'n': 11, 'trace_an': -6}
-
id: 62624011
{'hecke_orbit_code': 4503599660925468, 'n': 12, 'trace_an': 0}
-
id: 62624012
{'hecke_orbit_code': 4503599660925468, 'n': 13, 'trace_an': -1}
-
id: 62624013
{'hecke_orbit_code': 4503599660925468, 'n': 14, 'trace_an': 0}
-
id: 62624014
{'hecke_orbit_code': 4503599660925468, 'n': 15, 'trace_an': 0}
-
id: 62624015
{'hecke_orbit_code': 4503599660925468, 'n': 16, 'trace_an': 0}
-
id: 62624016
{'hecke_orbit_code': 4503599660925468, 'n': 17, 'trace_an': 0}
-
id: 62624017
{'hecke_orbit_code': 4503599660925468, 'n': 18, 'trace_an': 0}
-
id: 62624018
{'hecke_orbit_code': 4503599660925468, 'n': 19, 'trace_an': -1}
-
id: 62624019
{'hecke_orbit_code': 4503599660925468, 'n': 20, 'trace_an': 0}
-
id: 62624020
{'hecke_orbit_code': 4503599660925468, 'n': 21, 'trace_an': 0}
-
id: 62624021
{'hecke_orbit_code': 4503599660925468, 'n': 22, 'trace_an': 0}
-
id: 62624022
{'hecke_orbit_code': 4503599660925468, 'n': 23, 'trace_an': -6}
-
id: 62624023
{'hecke_orbit_code': 4503599660925468, 'n': 24, 'trace_an': 0}
-
id: 62624024
{'hecke_orbit_code': 4503599660925468, 'n': 25, 'trace_an': 1}
-
id: 62624025
{'hecke_orbit_code': 4503599660925468, 'n': 26, 'trace_an': 0}
-
id: 62624026
{'hecke_orbit_code': 4503599660925468, 'n': 27, 'trace_an': 0}
-
id: 62624027
{'hecke_orbit_code': 4503599660925468, 'n': 28, 'trace_an': 0}
-
id: 62624028
{'hecke_orbit_code': 4503599660925468, 'n': 29, 'trace_an': -6}
-
id: 62624029
{'hecke_orbit_code': 4503599660925468, 'n': 30, 'trace_an': 0}
-
id: 62624030
{'hecke_orbit_code': 4503599660925468, 'n': 31, 'trace_an': 8}
-
id: 62624031
{'hecke_orbit_code': 4503599660925468, 'n': 32, 'trace_an': 0}
-
id: 62624032
{'hecke_orbit_code': 4503599660925468, 'n': 33, 'trace_an': 0}
-
id: 62624033
{'hecke_orbit_code': 4503599660925468, 'n': 34, 'trace_an': 0}
-
id: 62624034
{'hecke_orbit_code': 4503599660925468, 'n': 35, 'trace_an': 1}
-
id: 62624035
{'hecke_orbit_code': 4503599660925468, 'n': 36, 'trace_an': 0}
-
id: 62624036
{'hecke_orbit_code': 4503599660925468, 'n': 37, 'trace_an': -7}
-
id: 62624037
{'hecke_orbit_code': 4503599660925468, 'n': 38, 'trace_an': 0}
-
id: 62624038
{'hecke_orbit_code': 4503599660925468, 'n': 39, 'trace_an': 0}
-
id: 62624039
{'hecke_orbit_code': 4503599660925468, 'n': 40, 'trace_an': 0}
-
id: 62624040
{'hecke_orbit_code': 4503599660925468, 'n': 41, 'trace_an': 6}
-
id: 62624041
{'hecke_orbit_code': 4503599660925468, 'n': 42, 'trace_an': 0}
-
id: 62624042
{'hecke_orbit_code': 4503599660925468, 'n': 43, 'trace_an': -4}
-
id: 62624043
{'hecke_orbit_code': 4503599660925468, 'n': 44, 'trace_an': 0}
-
id: 62624044
{'hecke_orbit_code': 4503599660925468, 'n': 45, 'trace_an': 0}
-
id: 62624045
{'hecke_orbit_code': 4503599660925468, 'n': 46, 'trace_an': 0}
-
id: 62624046
{'hecke_orbit_code': 4503599660925468, 'n': 47, 'trace_an': -12}
-
id: 62624047
{'hecke_orbit_code': 4503599660925468, 'n': 48, 'trace_an': 0}
-
id: 62624048
{'hecke_orbit_code': 4503599660925468, 'n': 49, 'trace_an': -6}
-
id: 62624049
{'hecke_orbit_code': 4503599660925468, 'n': 50, 'trace_an': 0}
-
id: 62624050
{'hecke_orbit_code': 4503599660925468, 'n': 51, 'trace_an': 0}
-
id: 62624051
{'hecke_orbit_code': 4503599660925468, 'n': 52, 'trace_an': 0}
-
id: 62624052
{'hecke_orbit_code': 4503599660925468, 'n': 53, 'trace_an': 6}
-
id: 62624053
{'hecke_orbit_code': 4503599660925468, 'n': 54, 'trace_an': 0}
-
id: 62624054
{'hecke_orbit_code': 4503599660925468, 'n': 55, 'trace_an': 6}
-
id: 62624055
{'hecke_orbit_code': 4503599660925468, 'n': 56, 'trace_an': 0}
-
id: 62624056
{'hecke_orbit_code': 4503599660925468, 'n': 57, 'trace_an': 0}
-
id: 62624057
{'hecke_orbit_code': 4503599660925468, 'n': 58, 'trace_an': 0}
-
id: 62624058
{'hecke_orbit_code': 4503599660925468, 'n': 59, 'trace_an': 0}
-
id: 62624059
{'hecke_orbit_code': 4503599660925468, 'n': 60, 'trace_an': 0}
-
id: 62624060
{'hecke_orbit_code': 4503599660925468, 'n': 61, 'trace_an': 11}
-
id: 62624061
{'hecke_orbit_code': 4503599660925468, 'n': 62, 'trace_an': 0}
-
id: 62624062
{'hecke_orbit_code': 4503599660925468, 'n': 63, 'trace_an': 0}
-
id: 62624063
{'hecke_orbit_code': 4503599660925468, 'n': 64, 'trace_an': 0}
-
id: 62624064
{'hecke_orbit_code': 4503599660925468, 'n': 65, 'trace_an': 1}
-
id: 62624065
{'hecke_orbit_code': 4503599660925468, 'n': 66, 'trace_an': 0}
-
id: 62624066
{'hecke_orbit_code': 4503599660925468, 'n': 67, 'trace_an': -7}
-
id: 62624067
{'hecke_orbit_code': 4503599660925468, 'n': 68, 'trace_an': 0}
-
id: 62624068
{'hecke_orbit_code': 4503599660925468, 'n': 69, 'trace_an': 0}
-
id: 62624069
{'hecke_orbit_code': 4503599660925468, 'n': 70, 'trace_an': 0}
-
id: 62624070
{'hecke_orbit_code': 4503599660925468, 'n': 71, 'trace_an': 6}
-
id: 62624071
{'hecke_orbit_code': 4503599660925468, 'n': 72, 'trace_an': 0}
-
id: 62624072
{'hecke_orbit_code': 4503599660925468, 'n': 73, 'trace_an': 11}
-
id: 62624073
{'hecke_orbit_code': 4503599660925468, 'n': 74, 'trace_an': 0}
-
id: 62624074
{'hecke_orbit_code': 4503599660925468, 'n': 75, 'trace_an': 0}
-
id: 62624075
{'hecke_orbit_code': 4503599660925468, 'n': 76, 'trace_an': 0}
-
id: 62624076
{'hecke_orbit_code': 4503599660925468, 'n': 77, 'trace_an': 6}
-
id: 62624077
{'hecke_orbit_code': 4503599660925468, 'n': 78, 'trace_an': 0}
-
id: 62624078
{'hecke_orbit_code': 4503599660925468, 'n': 79, 'trace_an': -1}
-
id: 62624079
{'hecke_orbit_code': 4503599660925468, 'n': 80, 'trace_an': 0}
-
id: 62624080
{'hecke_orbit_code': 4503599660925468, 'n': 81, 'trace_an': 0}
-
id: 62624081
{'hecke_orbit_code': 4503599660925468, 'n': 82, 'trace_an': 0}
-
id: 62624082
{'hecke_orbit_code': 4503599660925468, 'n': 83, 'trace_an': -6}
-
id: 62624083
{'hecke_orbit_code': 4503599660925468, 'n': 84, 'trace_an': 0}
-
id: 62624084
{'hecke_orbit_code': 4503599660925468, 'n': 85, 'trace_an': 0}
-
id: 62624085
{'hecke_orbit_code': 4503599660925468, 'n': 86, 'trace_an': 0}
-
id: 62624086
{'hecke_orbit_code': 4503599660925468, 'n': 87, 'trace_an': 0}
-
id: 62624087
{'hecke_orbit_code': 4503599660925468, 'n': 88, 'trace_an': 0}
-
id: 62624088
{'hecke_orbit_code': 4503599660925468, 'n': 89, 'trace_an': 12}
-
id: 62624089
{'hecke_orbit_code': 4503599660925468, 'n': 90, 'trace_an': 0}
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