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mf_newforms • Show schema
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{'Nk2': 204, 'analytic_conductor': 0.40723705030852997, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 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': [51, 1, [35, 37], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 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, [-4, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660924979, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '51.2.a.b', 'level': 51, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 17], 'level_radical': 51, 'minimal_twist': '51.2.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}-q^{3}+(2+\\beta )q^{4}+(1+\\beta )q^{5}+\\cdots', 'related_objects': ['Genus2Curve/Q/2601/a'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '51.2.a', 'trace_display': [-1, -2, 3, 0], 'trace_hash': 923891408700471813, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.950', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.048', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.372', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.460', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, -1, -2, 5, 3, 1, 0, -9, 2, -10, -1, -5, 5, 0, -3, 3, 2, -1, 3, 16, 0, -8, -9, 9, 3, 6, -2, 0, 0, 10, -2, -9, 1, -1, 0, 5, -2, 24, -5, -22, -3, 0, -3, 6, 3, -4, -14, -3, -14, -27, -2, 4, 8, 1, 7, 0, -3, 34, 6, -16, 10, -16, 0, 7, -1, 8, 8, 5, 9, 0, 4, -9, -8, 18, -3, -18, 0, -6, 6, 30, 2, 10, -10, 0, 3, -24, 0, -4, 6, -10, 0, -14, 2, 24, -21, 9, -14, 7, -1, 33, 30, 1, 21, -14, 0, -38, 3, -5, -22, -12, 2, 0, -5, -24, -5, -34, 5, -20, 0, 22, -13, -22, 3, 12, 15, 0, 19, 23, 3, -8, 33, -6, 0, -4, -3, -9, -16, 4, -10, 0, 14, 32, -11, 3, -34, 38, 14, -22, 8, 27, 16, 12, 2, 0, 14, -4, 1, 48, -8, -22, 0, -1, -22, -16, -7, -12, 19, 0, -5, -10, 3, 18, -17, -34, 0, 24, -6, 14, -10, 16, 12, 0, -10, 32, -20, 16, -1, -52, 0, 36, -18, -7, -32, -10, 1, -35, 11, -8, 32, -39, -8, 2, 0, -5, -13, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [-1, 0], [2, 1], [1, 1], [0, 1], [0, 0], [-4, -1], [1, 0], [-4, -2], [-1, 1], [-2, -1], [3, -1], [0, 0], [-1, -1], [0, 3], [1, 0], [0, -1], [3, -3], [6, 4], [0, 0], [-4, 0], [-5, 1], [4, 1], [0, 3], [4, -2], [-1, 0], [0, 0], [2, -4], [4, 2], [-2, 2], [-4, -1], [1, -1], [0, -1], [0, 0], [2, 1], [0, -2], [12, 0], [-3, 1], [-8, -6], [-1, -1], [0, 0], [-3, 3], [2, 2], [1, 1], [-4, 4], [-6, -2], [0, -3], [-7, 0], [-12, -3], [-1, 0], [2, 0], [2, 4], [0, 1], [3, 1], [0, 0], [-3, 3], [16, 2], [2, 2], [-6, -4], [4, 2], [-8, 0], [0, 0], [4, -1], [-1, 1], [4, 0], [4, 0], [2, 1], [5, -1], [0, 0], [4, -4], [-4, -1], [-2, -4], [8, 2], [0, -3], [-6, -6], [0, 0], [-4, 2], [6, -6], [12, 6], [1, 0], [4, 2], [-6, 2], [0, 0], [1, 1], [-12, 0], [-2, 4], [0, -4], [4, -2], [-4, -2], [0, 0], [-6, -2], [2, -2], [8, 8], [-9, -3], [4, 1], [-8, 2], [0, 7], [-1, 1], [12, 9]], 'ap': [[0, -1], [-1, 0], [1, 1], [0, 0], [-1, 1], [3, -1], [1, 0], [3, -3], [-5, 1], [2, -4], [-2, 2], [0, -2], [-1, -1], [-3, 3], [-6, -2], [2, 4], [2, 2], [4, 2], [4, 0], [4, -4], [-2, -4], [6, -6], [-6, 2], [4, -2], [-8, 2], [16, -2], [9, 3], [3, -3], [-12, 2], [-3, 1], [7, 5], [17, -1], [-10, 4], [-6, 2], [2, 4], [8, 0], [-1, 3], [-10, -2], [7, 5], [-11, 5], [-6, 2], [6, 0], [-10, 2], [-18, 4], [9, -7], [16, 0], [-2, 6], [3, -7], [9, -9], [6, 0], [-1, -1], [4, -4], [-12, 6], [-12, 8], [0, -6], [0, -8], [19, -1], [7, 5], [6, 0], [-16, 2], [6, 6], [-4, 2], [12, 8], [0, 0], [8, 10], [-18, 0], [-17, -7], [14, -12], [12, -8], [9, 1], [10, -8], [4, 4], [-12, 4], [10, -4], [-12, 0], [-4, 4], [0, 14], [-4, -6], [11, 11], [-7, -3], [20, -8], [27, -1], [-24, 0], [19, 3], [-12, -4], [-26, -2], [6, 12], [1, 5], [2, -4], [0, -16], [6, 6], [-9, 13], [2, 6], [-6, -6], [-2, 6], [-27, -1], [20, 2], [-33, -1], [-20, 0], [-12, 18], [28, 0], [6, 8], [26, 2], [16, 2], [0, -12], [-27, 9], [12, -16], [38, -4], [-26, 10], [10, -16], [6, -6], [7, 3], [-34, -4], [-10, 6], [7, -3], [-11, -7], [-24, 4], [6, -6], [-15, -7], [26, -14], [21, -3], [30, -12], [-9, 3], [-7, -1], [12, -16], [0, 6], [-14, -12], [1, -5], [-8, 0], [-22, 4], [-13, -3], [8, 8], [-10, -6], [-7, 9], [-26, 4], [-3, 17], [-24, 6], [0, -4], [16, -10], [39, -9], [-30, -6], [-15, 1], [24, -8], [9, 15], [38, -8], [-3, -9], [2, -12], [-6, 0], [12, 0], [-20, 4], [-34, 0], [30, 4], [15, -15], [21, -1], [26, -14], [-9, 13], [-9, -3], [21, -7], [-22, 0], [30, 0], [12, 0], [-20, 22], [45, -1], [-18, -10], [-2, 4], [13, 7], [12, 12], [-10, 0]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 4503599660924979, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '51.2.a.b', 'level': 51, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 2, 1, 0], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1], 'ALdims_old': [0, 1, 0, 1], 'Nk2': 204, 'analytic_conductor': 0.40723705030852997, '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': [51, 1, [35, 37], [1, 1]], 'conrey_index': 1, 'cusp_dim': 5, 'dim': 3, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554483, 'hecke_orbit_dims': [1, 2], 'label': '51.2.a', 'level': 51, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 17], 'level_radical': 51, 'mf_dim': 8, 'mf_new_dim': 3, 'num_forms': 2, 'plus_dim': 0, 'prim_orbit_index': 1, 'relative_dim': 3, 'sturm_bound': 12, 'trace_bound': 1, 'trace_display': [-1, -1, 6, -4], 'traces': [3, -1, -1, 3, 6, 1, -4, -9, 3, -10, -4, -7, 4, 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-28, -20, -166, -2, 60, 24, -22, -34, 34, 24, 4, -24, -12, -16, -8, 28, 0, 0, 20, 42, -52, -2, -76], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 43651
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '51.2.a.b', 'target_level': 51, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 43652
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '153.2.a.e', 'target_level': 153, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43653
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '816.2.a.m', 'target_level': 816, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43654
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '867.2.a.f', 'target_level': 867, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43655
{'conductor': 17, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '867.2.d.c', 'target_level': 867, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 43656
{'conductor': 17, 'degree': 4, 'multiplicity': 4, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '867.2.e.f', 'target_level': 867, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 43657
{'conductor': 17, 'degree': 8, 'multiplicity': 8, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '867.2.h.j', 'target_level': 867, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '17.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 43658
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1275.2.a.n', 'target_level': 1275, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43659
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1275.2.b.d', 'target_level': 1275, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 43660
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2448.2.a.v', 'target_level': 2448, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43661
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2499.2.a.o', 'target_level': 2499, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43662
{'conductor': 51, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2601.2.a.t', 'target_level': 2601, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '51.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 43663
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '3264.2.a.bg', 'target_level': 3264, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 43664
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '3264.2.a.bl', 'target_level': 3264, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43665
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3825.2.a.s', 'target_level': 3825, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 43666
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '6171.2.a.p', 'target_level': 6171, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43667
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '7497.2.a.v', 'target_level': 7497, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 43668
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '8619.2.a.q', 'target_level': 8619, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 43669
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 77, 'target_is_minimal': False, 'target_label': '9792.2.a.cy', 'target_level': 9792, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 43670
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '51.2.a.b', 'source_level': 51, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 78, 'target_is_minimal': False, 'target_label': '9792.2.a.cz', 'target_level': 9792, 'twist_class_label': '51.2.a.b', 'twist_class_level': 51, '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: 175250
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 2}
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id: 175251
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503599660924979, 'p': 3}
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id: 175252
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 5}
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id: 175253
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503599660924979, 'p': 7}
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id: 175254
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 11}
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id: 175255
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 13}
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id: 175256
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503599660924979, 'p': 17}
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id: 175257
{'charpoly_factorization': [[[-36, -3, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 19}
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id: 175258
{'charpoly_factorization': [[[16, 9, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 23}
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id: 175259
{'charpoly_factorization': [[[-68, 0, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 29}
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id: 175260
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 31}
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id: 175261
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 37}
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id: 175262
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 41}
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id: 175263
{'charpoly_factorization': [[[-36, 3, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 43}
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id: 175264
{'charpoly_factorization': [[[32, 14, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 47}
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id: 175265
{'charpoly_factorization': [[[-52, -8, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 53}
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id: 175266
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 59}
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id: 175267
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 61}
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id: 175268
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4503599660924979, 'p': 67}
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id: 175269
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 71}
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id: 175270
{'charpoly_factorization': [[[-52, 8, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 73}
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id: 175271
{'charpoly_factorization': [[[-144, -6, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 79}
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id: 175272
{'charpoly_factorization': [[[8, 10, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 83}
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id: 175273
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 89}
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id: 175274
{'charpoly_factorization': [[[32, 14, 1], 1]], 'hecke_orbit_code': 4503599660924979, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '51.2.a.b', 'level': 51, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 16035024
{'hecke_orbit_code': 4503599660924979, 'n': 1, 'trace_an': 2}
-
id: 16035025
{'hecke_orbit_code': 4503599660924979, 'n': 2, 'trace_an': -1}
-
id: 16035026
{'hecke_orbit_code': 4503599660924979, 'n': 3, 'trace_an': -2}
-
id: 16035027
{'hecke_orbit_code': 4503599660924979, 'n': 4, 'trace_an': 5}
-
id: 16035028
{'hecke_orbit_code': 4503599660924979, 'n': 5, 'trace_an': 3}
-
id: 16035029
{'hecke_orbit_code': 4503599660924979, 'n': 6, 'trace_an': 1}
-
id: 16035030
{'hecke_orbit_code': 4503599660924979, 'n': 7, 'trace_an': 0}
-
id: 16035031
{'hecke_orbit_code': 4503599660924979, 'n': 8, 'trace_an': -9}
-
id: 16035032
{'hecke_orbit_code': 4503599660924979, 'n': 9, 'trace_an': 2}
-
id: 16035033
{'hecke_orbit_code': 4503599660924979, 'n': 10, 'trace_an': -10}
-
id: 16035034
{'hecke_orbit_code': 4503599660924979, 'n': 11, 'trace_an': -1}
-
id: 16035035
{'hecke_orbit_code': 4503599660924979, 'n': 12, 'trace_an': -5}
-
id: 16035036
{'hecke_orbit_code': 4503599660924979, 'n': 13, 'trace_an': 5}
-
id: 16035037
{'hecke_orbit_code': 4503599660924979, 'n': 14, 'trace_an': 0}
-
id: 16035038
{'hecke_orbit_code': 4503599660924979, 'n': 15, 'trace_an': -3}
-
id: 16035039
{'hecke_orbit_code': 4503599660924979, 'n': 16, 'trace_an': 3}
-
id: 16035040
{'hecke_orbit_code': 4503599660924979, 'n': 17, 'trace_an': 2}
-
id: 16035041
{'hecke_orbit_code': 4503599660924979, 'n': 18, 'trace_an': -1}
-
id: 16035042
{'hecke_orbit_code': 4503599660924979, 'n': 19, 'trace_an': 3}
-
id: 16035043
{'hecke_orbit_code': 4503599660924979, 'n': 20, 'trace_an': 16}
-
id: 16035044
{'hecke_orbit_code': 4503599660924979, 'n': 21, 'trace_an': 0}
-
id: 16035045
{'hecke_orbit_code': 4503599660924979, 'n': 22, 'trace_an': -8}
-
id: 16035046
{'hecke_orbit_code': 4503599660924979, 'n': 23, 'trace_an': -9}
-
id: 16035047
{'hecke_orbit_code': 4503599660924979, 'n': 24, 'trace_an': 9}
-
id: 16035048
{'hecke_orbit_code': 4503599660924979, 'n': 25, 'trace_an': 3}
-
id: 16035049
{'hecke_orbit_code': 4503599660924979, 'n': 26, 'trace_an': 6}
-
id: 16035050
{'hecke_orbit_code': 4503599660924979, 'n': 27, 'trace_an': -2}
-
id: 16035051
{'hecke_orbit_code': 4503599660924979, 'n': 28, 'trace_an': 0}
-
id: 16035052
{'hecke_orbit_code': 4503599660924979, 'n': 29, 'trace_an': 0}
-
id: 16035053
{'hecke_orbit_code': 4503599660924979, 'n': 30, 'trace_an': 10}
-
id: 16035054
{'hecke_orbit_code': 4503599660924979, 'n': 31, 'trace_an': -2}
-
id: 16035055
{'hecke_orbit_code': 4503599660924979, 'n': 32, 'trace_an': -9}
-
id: 16035056
{'hecke_orbit_code': 4503599660924979, 'n': 33, 'trace_an': 1}
-
id: 16035057
{'hecke_orbit_code': 4503599660924979, 'n': 34, 'trace_an': -1}
-
id: 16035058
{'hecke_orbit_code': 4503599660924979, 'n': 35, 'trace_an': 0}
-
id: 16035059
{'hecke_orbit_code': 4503599660924979, 'n': 36, 'trace_an': 5}
-
id: 16035060
{'hecke_orbit_code': 4503599660924979, 'n': 37, 'trace_an': -2}
-
id: 16035061
{'hecke_orbit_code': 4503599660924979, 'n': 38, 'trace_an': 24}
-
id: 16035062
{'hecke_orbit_code': 4503599660924979, 'n': 39, 'trace_an': -5}
-
id: 16035063
{'hecke_orbit_code': 4503599660924979, 'n': 40, 'trace_an': -22}
-
id: 16035064
{'hecke_orbit_code': 4503599660924979, 'n': 41, 'trace_an': -3}
-
id: 16035065
{'hecke_orbit_code': 4503599660924979, 'n': 42, 'trace_an': 0}
-
id: 16035066
{'hecke_orbit_code': 4503599660924979, 'n': 43, 'trace_an': -3}
-
id: 16035067
{'hecke_orbit_code': 4503599660924979, 'n': 44, 'trace_an': 6}
-
id: 16035068
{'hecke_orbit_code': 4503599660924979, 'n': 45, 'trace_an': 3}
-
id: 16035069
{'hecke_orbit_code': 4503599660924979, 'n': 46, 'trace_an': -4}
-
id: 16035070
{'hecke_orbit_code': 4503599660924979, 'n': 47, 'trace_an': -14}
-
id: 16035071
{'hecke_orbit_code': 4503599660924979, 'n': 48, 'trace_an': -3}
-
id: 16035072
{'hecke_orbit_code': 4503599660924979, 'n': 49, 'trace_an': -14}
-
id: 16035073
{'hecke_orbit_code': 4503599660924979, 'n': 50, 'trace_an': -27}
-
id: 16035074
{'hecke_orbit_code': 4503599660924979, 'n': 51, 'trace_an': -2}
-
id: 16035075
{'hecke_orbit_code': 4503599660924979, 'n': 52, 'trace_an': 4}
-
id: 16035076
{'hecke_orbit_code': 4503599660924979, 'n': 53, 'trace_an': 8}
-
id: 16035077
{'hecke_orbit_code': 4503599660924979, 'n': 54, 'trace_an': 1}
-
id: 16035078
{'hecke_orbit_code': 4503599660924979, 'n': 55, 'trace_an': 7}
-
id: 16035079
{'hecke_orbit_code': 4503599660924979, 'n': 56, 'trace_an': 0}
-
id: 16035080
{'hecke_orbit_code': 4503599660924979, 'n': 57, 'trace_an': -3}
-
id: 16035081
{'hecke_orbit_code': 4503599660924979, 'n': 58, 'trace_an': 34}
-
id: 16035082
{'hecke_orbit_code': 4503599660924979, 'n': 59, 'trace_an': 6}
-
id: 16035083
{'hecke_orbit_code': 4503599660924979, 'n': 60, 'trace_an': -16}
-
id: 16035084
{'hecke_orbit_code': 4503599660924979, 'n': 61, 'trace_an': 10}
-
id: 16035085
{'hecke_orbit_code': 4503599660924979, 'n': 62, 'trace_an': -16}
-
id: 16035086
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