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mf_newforms • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -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': [507, 1, [170, 340], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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]], [5, [-2, -3, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666427, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '507.2.a.d', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.2.e.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+q^{3}+(2+\\beta )q^{4}+(2-\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.2.a', 'trace_display': [-1, 2, 3, 3], 'trace_hash': 1729524160094176094, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.901', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.219', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.875', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.428', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.144', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [2, -1, 2, 5, 3, -1, 3, -9, 2, 7, 4, 5, 0, -10, 3, 3, 1, -1, -6, -1, 3, -2, 4, -9, 3, 0, 2, 16, 1, 7, -1, -9, 4, -9, -4, 5, -11, -14, 0, -5, -1, -10, 5, 10, 3, -2, 0, 3, -1, 24, 1, 0, 11, -1, 6, -22, -6, 25, 14, -1, 16, -8, 3, 7, 0, -2, -5, 11, 4, 2, -28, -9, 12, -3, 3, 2, 6, 0, 15, -21, 2, 9, 10, 16, -7, 6, 1, -18, -18, 7, 0, 10, -1, -34, -26, -9, 13, -25, 4, -18, -11, -9, -11, 0, -4, -31, 0, 5, -15, 14, -11, 30, -9, -14, 6, -23, 0, -24, 10, -5, -14, -25, -1, 6, 15, -10, 15, 23, 5, 0, -10, 10, 8, -6, 3, -13, 7, -2, -7, -10, 0, 14, 0, 3, 27, 11, -1, -19, 9, 24, -6, 10, 1, -20, -10, 0, 16, -16, 11, -5, 6, -1, -11, -11, 6, -22, -4, -22, 0, -5, -6, 4, 24, 25, -21, 6, 14, 26, -18, -1, 7, 0, 16, -18, -25, -8, 2, 34, 3, -38, -10, 7, -6, 2, 0, 23, -2, -2, -1, 12, -5, -3, -24, 11, 7, 14, 4, 0, -12, 2, 27, 53, -28, -34, 16, -9, 7, 50, 12, -2, 0, -3, -16, -22, 3, 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-62, -4, -31, -32, 14, 2, -32, 2, 19, -53, 0, 0, -5, 59, -20, 10, 63, 14, 54, 40, 5, 49, -14, 0, 75, -77, 48, -36, -25, -15, -6, 14, 13, -54, 21, 34, 0, 10, 14, -10, -4, 27, 140, 92, 42, 0, -80, -11, -59], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [1, 0], [2, 1], [2, -1], [0, -1], [1, 1], [-4, -1], [1, 0], [4, -1], [2, 0], [2, 1], [0, 0], [-4, -2], [2, -1], [0, 3], [0, 1], [0, -1], [-4, 2], [0, -1], [1, 1], [0, -2], [2, 0], [-4, -1], [3, -3], [0, 0], [1, 0], [6, 4], [2, -3], [4, -1], [-1, 1], [-4, -1], [2, 0], [-4, -1], [-2, 0], [2, 1], [-6, 1], [-8, 2], [0, 0], [-4, 3], [0, -1], [-4, -2], [3, -1], [4, 2], [2, -1], [0, -2], [-2, 4], [0, 3], [-2, 3], [12, 0], [0, 1], [0, 0], [4, 3], [0, -1], [4, -2], [-8, -6], [-4, 2], [12, 1], [6, 2], [0, -1], [7, 2], [-4, 0], [1, 1], [4, -1], [0, 0], [0, -2], [-3, 1], [4, 3], [2, 0], [0, 2], [-14, 0], [-4, -1], [7, -2], [-4, 5], [3, -3], [0, 2], [2, 2], [0, 0], [7, 1], [-12, 3], [1, 0], [4, 1], [4, 2], [6, 4], [-4, 1], [4, -2], [2, -3], [-8, -2], [-8, -2], [4, -1], [0, 0], [4, 2], [-1, 1], [-16, -2], [-16, 6], [-4, -1], [7, -1], [-12, -1], [2, 0], [-6, -6]], 'ap': [[0, -1], [1, 0], [2, -1], [1, 1], [2, 0], [0, 0], [0, 1], [-4, 2], [2, 0], [2, -3], [-1, 1], [-6, 1], [0, -1], [3, -1], [-2, 4], [4, 3], [6, 2], [7, 2], [-3, 1], [-14, 0], [7, -2], [7, 1], [4, 2], [-8, -2], [7, -1], [-6, 1], [-5, -1], [-2, 4], [-5, -5], [-2, -5], [7, 1], [-2, -6], [4, -1], [-7, 7], [4, 1], [0, -6], [11, -6], [-3, -5], [-4, 4], [14, -4], [-8, -2], [2, 3], [-6, 2], [1, -8], [-4, 6], [5, -11], [15, -3], [-8, 0], [-4, 2], [10, -4], [26, 0], [16, -6], [10, -5], [0, -12], [12, -11], [0, -6], [-12, 6], [19, -7], [10, 3], [-10, 5], [-9, 3], [-22, -1], [-23, 5], [-16, 2], [-9, 3], [0, 9], [11, 5], [-3, 2], [12, -10], [1, 5], [-10, -3], [0, -6], [-3, 9], [19, -6], [-19, 3], [4, -12], [20, -9], [-11, 9], [-16, -1], [3, 6], [-28, 4], [-25, 4], [8, -2], [15, 4], [-9, 3], [-16, 12], [2, -4], [3, 10], [24, 5], [19, 3], [-26, 0], [-4, 4], [-4, 2], [-30, 4], [8, 8], [-22, 4], [6, -5], [-20, -7], [12, -14], [-1, 12], [-7, -7], [32, -7], [-14, 6], [10, 12], [4, 6], [22, 3], [-30, 6], [-6, -15], [-26, 10], [-18, -7], [-16, 0], [13, -14], [-2, 5], [-9, 13], [17, -1], [-2, 11], [5, -17], [-22, -10], [20, -2], [4, 4], [-15, -6], [-17, 4], [0, 10], [10, -18], [31, -13], [4, 6], [-5, -8], [-14, 6], [-9, 19], [-33, -8], [-4, 4], [22, 6], [16, -18], [30, 0], [0, 6], [18, 0], [18, -4], [-27, 11], [-16, -10], [4, 13], [-1, 1], [6, 8], [8, 0], [-4, -12], [1, -8], [-6, 10], [1, 2], [34, -1], [23, -1], [-18, 8], [-22, 1], [-20, -7], [1, -5], [34, 6], [28, 0], [20, -12], [24, 8], [0, -5], [-6, 1], [-18, 8], [20, -12], [6, -16], [4, 2], [12, 16], [-44, 11], [2, 10], [-16, 22], [-5, 10]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 13510798915666427, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '507.2.a.d', 'level': 507, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [13, -1]], 3, 1], [[[3, -1], [13, 1]], 9, 4], [[[3, 1], [13, -1]], 7, 3], [[[3, 1], [13, 1]], 6, 4]], 'ALdims': [6, 7, 9, 3], 'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, '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': [507, 1, [170, 340], [1, 1]], 'conrey_index': 1, 'cusp_dim': 47, 'dim': 25, 'eis_dim': 27, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33554939, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '507.2.a', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 74, 'mf_new_dim': 25, 'num_forms': 12, 'plus_dim': 9, 'prim_orbit_index': 1, 'relative_dim': 25, 'sturm_bound': 121, 'trace_bound': 5, 'trace_display': [1, -1, -2, 4], 'traces': [25, 1, -1, 27, -2, 3, 4, 9, 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-32, 38, -14, -40, 0, 362, -56, -28, 64, 0, -126, -48, 2, 104, -26, -38, 64, 0, 4, 92, 136, 56, 0, -256, 26, -276, -34, -10, 48, -28, -32, -220, 204, 30, -63, 0, -32, -34, 380, -56, 44, -27, 32, -68, -116, -7, 112, -188, 0, -2, -14, -64, -112, 2, 14, -36, -44, -70, 216, -4, -40, 0, -132, -24, 20, -352, -40, -16, 16, 32, -102, 148, 2, 124], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 357932
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '39.2.e.b', 'target_level': 39, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 357933
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '117.2.g.c', 'target_level': 117, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 357934
{'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': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '507.2.a.d', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 357935
{'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': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.a.g', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 357936
{'conductor': 13, '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': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '507.2.b.d', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 357937
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.e.g', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 357938
{'conductor': 13, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.j.g', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 357939
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '624.2.q.h', 'target_level': 624, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 357940
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '975.2.i.k', 'target_level': 975, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 357941
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 28, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '975.2.bb.i', 'target_level': 975, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 357942
{'conductor': 39, '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': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1521.2.a.g', 'target_level': 1521, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 357943
{'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': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1521.2.a.m', 'target_level': 1521, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 357944
{'conductor': 39, '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': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1521.2.b.h', 'target_level': 1521, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 357945
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1872.2.t.r', 'target_level': 1872, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 357946
{'conductor': 52, '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': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '8112.2.a.bk', 'target_level': 8112, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 357947
{'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': False, 'source_label': '507.2.a.d', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '8112.2.a.bo', 'target_level': 8112, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 979675
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 2}
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id: 979676
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13510798915666427, 'p': 3}
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id: 979677
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 5}
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id: 979678
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 7}
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id: 979679
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 13510798915666427, 'p': 11}
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id: 979680
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666427, 'p': 13}
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id: 979681
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 17}
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id: 979682
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 19}
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id: 979683
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 13510798915666427, 'p': 23}
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id: 979684
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 29}
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id: 979685
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 31}
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id: 979686
{'charpoly_factorization': [[[26, 11, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 37}
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id: 979687
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 41}
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id: 979688
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 43}
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id: 979689
{'charpoly_factorization': [[[-68, 0, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 47}
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id: 979690
{'charpoly_factorization': [[[-8, -11, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 53}
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id: 979691
{'charpoly_factorization': [[[32, -14, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 59}
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id: 979692
{'charpoly_factorization': [[[47, -16, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 61}
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id: 979693
{'charpoly_factorization': [[[2, 5, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 67}
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id: 979694
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 13510798915666427, 'p': 71}
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id: 979695
{'charpoly_factorization': [[[19, -12, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 73}
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id: 979696
{'charpoly_factorization': [[[52, -15, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 79}
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id: 979697
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 83}
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id: 979698
{'charpoly_factorization': [[[64, 18, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 89}
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id: 979699
{'charpoly_factorization': [[[38, -13, 1], 1]], 'hecke_orbit_code': 13510798915666427, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '507.2.a.d', 'level': 507, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 125909000
{'hecke_orbit_code': 13510798915666427, 'n': 1, 'trace_an': 2}
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id: 125909001
{'hecke_orbit_code': 13510798915666427, 'n': 2, 'trace_an': -1}
-
id: 125909002
{'hecke_orbit_code': 13510798915666427, 'n': 3, 'trace_an': 2}
-
id: 125909003
{'hecke_orbit_code': 13510798915666427, 'n': 4, 'trace_an': 5}
-
id: 125909004
{'hecke_orbit_code': 13510798915666427, 'n': 5, 'trace_an': 3}
-
id: 125909005
{'hecke_orbit_code': 13510798915666427, 'n': 6, 'trace_an': -1}
-
id: 125909006
{'hecke_orbit_code': 13510798915666427, 'n': 7, 'trace_an': 3}
-
id: 125909007
{'hecke_orbit_code': 13510798915666427, 'n': 8, 'trace_an': -9}
-
id: 125909008
{'hecke_orbit_code': 13510798915666427, 'n': 9, 'trace_an': 2}
-
id: 125909009
{'hecke_orbit_code': 13510798915666427, 'n': 10, 'trace_an': 7}
-
id: 125909010
{'hecke_orbit_code': 13510798915666427, 'n': 11, 'trace_an': 4}
-
id: 125909011
{'hecke_orbit_code': 13510798915666427, 'n': 12, 'trace_an': 5}
-
id: 125909012
{'hecke_orbit_code': 13510798915666427, 'n': 13, 'trace_an': 0}
-
id: 125909013
{'hecke_orbit_code': 13510798915666427, 'n': 14, 'trace_an': -10}
-
id: 125909014
{'hecke_orbit_code': 13510798915666427, 'n': 15, 'trace_an': 3}
-
id: 125909015
{'hecke_orbit_code': 13510798915666427, 'n': 16, 'trace_an': 3}
-
id: 125909016
{'hecke_orbit_code': 13510798915666427, 'n': 17, 'trace_an': 1}
-
id: 125909017
{'hecke_orbit_code': 13510798915666427, 'n': 18, 'trace_an': -1}
-
id: 125909018
{'hecke_orbit_code': 13510798915666427, 'n': 19, 'trace_an': -6}
-
id: 125909019
{'hecke_orbit_code': 13510798915666427, 'n': 20, 'trace_an': -1}
-
id: 125909020
{'hecke_orbit_code': 13510798915666427, 'n': 21, 'trace_an': 3}
-
id: 125909021
{'hecke_orbit_code': 13510798915666427, 'n': 22, 'trace_an': -2}
-
id: 125909022
{'hecke_orbit_code': 13510798915666427, 'n': 23, 'trace_an': 4}
-
id: 125909023
{'hecke_orbit_code': 13510798915666427, 'n': 24, 'trace_an': -9}
-
id: 125909024
{'hecke_orbit_code': 13510798915666427, 'n': 25, 'trace_an': 3}
-
id: 125909025
{'hecke_orbit_code': 13510798915666427, 'n': 26, 'trace_an': 0}
-
id: 125909026
{'hecke_orbit_code': 13510798915666427, 'n': 27, 'trace_an': 2}
-
id: 125909027
{'hecke_orbit_code': 13510798915666427, 'n': 28, 'trace_an': 16}
-
id: 125909028
{'hecke_orbit_code': 13510798915666427, 'n': 29, 'trace_an': 1}
-
id: 125909029
{'hecke_orbit_code': 13510798915666427, 'n': 30, 'trace_an': 7}
-
id: 125909030
{'hecke_orbit_code': 13510798915666427, 'n': 31, 'trace_an': -1}
-
id: 125909031
{'hecke_orbit_code': 13510798915666427, 'n': 32, 'trace_an': -9}
-
id: 125909032
{'hecke_orbit_code': 13510798915666427, 'n': 33, 'trace_an': 4}
-
id: 125909033
{'hecke_orbit_code': 13510798915666427, 'n': 34, 'trace_an': -9}
-
id: 125909034
{'hecke_orbit_code': 13510798915666427, 'n': 35, 'trace_an': -4}
-
id: 125909035
{'hecke_orbit_code': 13510798915666427, 'n': 36, 'trace_an': 5}
-
id: 125909036
{'hecke_orbit_code': 13510798915666427, 'n': 37, 'trace_an': -11}
-
id: 125909037
{'hecke_orbit_code': 13510798915666427, 'n': 38, 'trace_an': -14}
-
id: 125909038
{'hecke_orbit_code': 13510798915666427, 'n': 39, 'trace_an': 0}
-
id: 125909039
{'hecke_orbit_code': 13510798915666427, 'n': 40, 'trace_an': -5}
-
id: 125909040
{'hecke_orbit_code': 13510798915666427, 'n': 41, 'trace_an': -1}
-
id: 125909041
{'hecke_orbit_code': 13510798915666427, 'n': 42, 'trace_an': -10}
-
id: 125909042
{'hecke_orbit_code': 13510798915666427, 'n': 43, 'trace_an': 5}
-
id: 125909043
{'hecke_orbit_code': 13510798915666427, 'n': 44, 'trace_an': 10}
-
id: 125909044
{'hecke_orbit_code': 13510798915666427, 'n': 45, 'trace_an': 3}
-
id: 125909045
{'hecke_orbit_code': 13510798915666427, 'n': 46, 'trace_an': -2}
-
id: 125909046
{'hecke_orbit_code': 13510798915666427, 'n': 47, 'trace_an': 0}
-
id: 125909047
{'hecke_orbit_code': 13510798915666427, 'n': 48, 'trace_an': 3}
-
id: 125909048
{'hecke_orbit_code': 13510798915666427, 'n': 49, 'trace_an': -1}
-
id: 125909049
{'hecke_orbit_code': 13510798915666427, 'n': 50, 'trace_an': 24}
-
id: 125909050
{'hecke_orbit_code': 13510798915666427, 'n': 51, 'trace_an': 1}
-
id: 125909051
{'hecke_orbit_code': 13510798915666427, 'n': 52, 'trace_an': 0}
-
id: 125909052
{'hecke_orbit_code': 13510798915666427, 'n': 53, 'trace_an': 11}
-
id: 125909053
{'hecke_orbit_code': 13510798915666427, 'n': 54, 'trace_an': -1}
-
id: 125909054
{'hecke_orbit_code': 13510798915666427, 'n': 55, 'trace_an': 6}
-
id: 125909055
{'hecke_orbit_code': 13510798915666427, 'n': 56, 'trace_an': -22}
-
id: 125909056
{'hecke_orbit_code': 13510798915666427, 'n': 57, 'trace_an': -6}
-
id: 125909057
{'hecke_orbit_code': 13510798915666427, 'n': 58, 'trace_an': 25}
-
id: 125909058
{'hecke_orbit_code': 13510798915666427, 'n': 59, 'trace_an': 14}
-
id: 125909059
{'hecke_orbit_code': 13510798915666427, 'n': 60, 'trace_an': -1}
-
id: 125909060
{'hecke_orbit_code': 13510798915666427, 'n': 61, 'trace_an': 16}
-
id: 125909061
{'hecke_orbit_code': 13510798915666427, 'n': 62, 'trace_an': -8}
-
id: 125909062
{'hecke_orbit_code': 13510798915666427, 'n': 63, 'trace_an': 3}
-
id: 125909063
{'hecke_orbit_code': 13510798915666427, 'n': 64, 'trace_an': 7}
-
id: 125909064
{'hecke_orbit_code': 13510798915666427, 'n': 65, 'trace_an': 0}
-
id: 125909065
{'hecke_orbit_code': 13510798915666427, 'n': 66, 'trace_an': -2}
-
id: 125909066
{'hecke_orbit_code': 13510798915666427, 'n': 67, 'trace_an': -5}
-
id: 125909067
{'hecke_orbit_code': 13510798915666427, 'n': 68, 'trace_an': 11}
-
id: 125909068
{'hecke_orbit_code': 13510798915666427, 'n': 69, 'trace_an': 4}
-
id: 125909069
{'hecke_orbit_code': 13510798915666427, 'n': 70, 'trace_an': 2}
-
id: 125909070
{'hecke_orbit_code': 13510798915666427, 'n': 71, 'trace_an': -28}
-
id: 125909071
{'hecke_orbit_code': 13510798915666427, 'n': 72, 'trace_an': -9}
-
id: 125909072
{'hecke_orbit_code': 13510798915666427, 'n': 73, 'trace_an': 12}
-
id: 125909073
{'hecke_orbit_code': 13510798915666427, 'n': 74, 'trace_an': -3}
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id: 125909074
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