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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': 7, 'hecke_orbit_code': 27021597797777915, '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.g', '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': 466602307484610350, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.901', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.085', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.875', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.651', '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, -47, 6, 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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': 27021597797777915, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '507.2.a.g', '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: 357986
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 357987
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 357988
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 357989
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 357990
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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: 357991
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 357992
{'conductor': 13, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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: 357993
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 357994
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 357995
{'conductor': 65, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 357996
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 357997
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 357998
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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: 357999
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 358000
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358001
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.a.g', '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': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 979750
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 2}
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id: 979751
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 27021597797777915, 'p': 3}
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id: 979752
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 5}
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id: 979753
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 7}
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id: 979754
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27021597797777915, 'p': 11}
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id: 979755
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797777915, 'p': 13}
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id: 979756
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 17}
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id: 979757
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 19}
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id: 979758
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27021597797777915, 'p': 23}
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id: 979759
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 29}
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id: 979760
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 31}
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id: 979761
{'charpoly_factorization': [[[26, -11, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 37}
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id: 979762
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 41}
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id: 979763
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 43}
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id: 979764
{'charpoly_factorization': [[[-68, 0, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 47}
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id: 979765
{'charpoly_factorization': [[[-8, -11, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 53}
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id: 979766
{'charpoly_factorization': [[[32, 14, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 59}
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id: 979767
{'charpoly_factorization': [[[47, -16, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 61}
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id: 979768
{'charpoly_factorization': [[[2, -5, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 67}
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id: 979769
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 27021597797777915, 'p': 71}
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id: 979770
{'charpoly_factorization': [[[19, 12, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 73}
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id: 979771
{'charpoly_factorization': [[[52, -15, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 79}
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id: 979772
{'charpoly_factorization': [[[8, 10, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 83}
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id: 979773
{'charpoly_factorization': [[[64, -18, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 89}
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id: 979774
{'charpoly_factorization': [[[38, 13, 1], 1]], 'hecke_orbit_code': 27021597797777915, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '507.2.a.g', '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: 174585000
{'hecke_orbit_code': 27021597797777915, 'n': 1, 'trace_an': 2}
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id: 174585001
{'hecke_orbit_code': 27021597797777915, 'n': 2, 'trace_an': 1}
-
id: 174585002
{'hecke_orbit_code': 27021597797777915, 'n': 3, 'trace_an': 2}
-
id: 174585003
{'hecke_orbit_code': 27021597797777915, 'n': 4, 'trace_an': 5}
-
id: 174585004
{'hecke_orbit_code': 27021597797777915, 'n': 5, 'trace_an': -3}
-
id: 174585005
{'hecke_orbit_code': 27021597797777915, 'n': 6, 'trace_an': 1}
-
id: 174585006
{'hecke_orbit_code': 27021597797777915, 'n': 7, 'trace_an': -3}
-
id: 174585007
{'hecke_orbit_code': 27021597797777915, 'n': 8, 'trace_an': 9}
-
id: 174585008
{'hecke_orbit_code': 27021597797777915, 'n': 9, 'trace_an': 2}
-
id: 174585009
{'hecke_orbit_code': 27021597797777915, 'n': 10, 'trace_an': 7}
-
id: 174585010
{'hecke_orbit_code': 27021597797777915, 'n': 11, 'trace_an': -4}
-
id: 174585011
{'hecke_orbit_code': 27021597797777915, 'n': 12, 'trace_an': 5}
-
id: 174585012
{'hecke_orbit_code': 27021597797777915, 'n': 13, 'trace_an': 0}
-
id: 174585013
{'hecke_orbit_code': 27021597797777915, 'n': 14, 'trace_an': -10}
-
id: 174585014
{'hecke_orbit_code': 27021597797777915, 'n': 15, 'trace_an': -3}
-
id: 174585015
{'hecke_orbit_code': 27021597797777915, 'n': 16, 'trace_an': 3}
-
id: 174585016
{'hecke_orbit_code': 27021597797777915, 'n': 17, 'trace_an': 1}
-
id: 174585017
{'hecke_orbit_code': 27021597797777915, 'n': 18, 'trace_an': 1}
-
id: 174585018
{'hecke_orbit_code': 27021597797777915, 'n': 19, 'trace_an': 6}
-
id: 174585019
{'hecke_orbit_code': 27021597797777915, 'n': 20, 'trace_an': 1}
-
id: 174585020
{'hecke_orbit_code': 27021597797777915, 'n': 21, 'trace_an': -3}
-
id: 174585021
{'hecke_orbit_code': 27021597797777915, 'n': 22, 'trace_an': -2}
-
id: 174585022
{'hecke_orbit_code': 27021597797777915, 'n': 23, 'trace_an': 4}
-
id: 174585023
{'hecke_orbit_code': 27021597797777915, 'n': 24, 'trace_an': 9}
-
id: 174585024
{'hecke_orbit_code': 27021597797777915, 'n': 25, 'trace_an': 3}
-
id: 174585025
{'hecke_orbit_code': 27021597797777915, 'n': 26, 'trace_an': 0}
-
id: 174585026
{'hecke_orbit_code': 27021597797777915, 'n': 27, 'trace_an': 2}
-
id: 174585027
{'hecke_orbit_code': 27021597797777915, 'n': 28, 'trace_an': -16}
-
id: 174585028
{'hecke_orbit_code': 27021597797777915, 'n': 29, 'trace_an': 1}
-
id: 174585029
{'hecke_orbit_code': 27021597797777915, 'n': 30, 'trace_an': 7}
-
id: 174585030
{'hecke_orbit_code': 27021597797777915, 'n': 31, 'trace_an': 1}
-
id: 174585031
{'hecke_orbit_code': 27021597797777915, 'n': 32, 'trace_an': 9}
-
id: 174585032
{'hecke_orbit_code': 27021597797777915, 'n': 33, 'trace_an': -4}
-
id: 174585033
{'hecke_orbit_code': 27021597797777915, 'n': 34, 'trace_an': 9}
-
id: 174585034
{'hecke_orbit_code': 27021597797777915, 'n': 35, 'trace_an': -4}
-
id: 174585035
{'hecke_orbit_code': 27021597797777915, 'n': 36, 'trace_an': 5}
-
id: 174585036
{'hecke_orbit_code': 27021597797777915, 'n': 37, 'trace_an': 11}
-
id: 174585037
{'hecke_orbit_code': 27021597797777915, 'n': 38, 'trace_an': -14}
-
id: 174585038
{'hecke_orbit_code': 27021597797777915, 'n': 39, 'trace_an': 0}
-
id: 174585039
{'hecke_orbit_code': 27021597797777915, 'n': 40, 'trace_an': -5}
-
id: 174585040
{'hecke_orbit_code': 27021597797777915, 'n': 41, 'trace_an': 1}
-
id: 174585041
{'hecke_orbit_code': 27021597797777915, 'n': 42, 'trace_an': -10}
-
id: 174585042
{'hecke_orbit_code': 27021597797777915, 'n': 43, 'trace_an': 5}
-
id: 174585043
{'hecke_orbit_code': 27021597797777915, 'n': 44, 'trace_an': -10}
-
id: 174585044
{'hecke_orbit_code': 27021597797777915, 'n': 45, 'trace_an': -3}
-
id: 174585045
{'hecke_orbit_code': 27021597797777915, 'n': 46, 'trace_an': 2}
-
id: 174585046
{'hecke_orbit_code': 27021597797777915, 'n': 47, 'trace_an': 0}
-
id: 174585047
{'hecke_orbit_code': 27021597797777915, 'n': 48, 'trace_an': 3}
-
id: 174585048
{'hecke_orbit_code': 27021597797777915, 'n': 49, 'trace_an': -1}
-
id: 174585049
{'hecke_orbit_code': 27021597797777915, 'n': 50, 'trace_an': -24}
-
id: 174585050
{'hecke_orbit_code': 27021597797777915, 'n': 51, 'trace_an': 1}
-
id: 174585051
{'hecke_orbit_code': 27021597797777915, 'n': 52, 'trace_an': 0}
-
id: 174585052
{'hecke_orbit_code': 27021597797777915, 'n': 53, 'trace_an': 11}
-
id: 174585053
{'hecke_orbit_code': 27021597797777915, 'n': 54, 'trace_an': 1}
-
id: 174585054
{'hecke_orbit_code': 27021597797777915, 'n': 55, 'trace_an': 6}
-
id: 174585055
{'hecke_orbit_code': 27021597797777915, 'n': 56, 'trace_an': -22}
-
id: 174585056
{'hecke_orbit_code': 27021597797777915, 'n': 57, 'trace_an': 6}
-
id: 174585057
{'hecke_orbit_code': 27021597797777915, 'n': 58, 'trace_an': -25}
-
id: 174585058
{'hecke_orbit_code': 27021597797777915, 'n': 59, 'trace_an': -14}
-
id: 174585059
{'hecke_orbit_code': 27021597797777915, 'n': 60, 'trace_an': 1}
-
id: 174585060
{'hecke_orbit_code': 27021597797777915, 'n': 61, 'trace_an': 16}
-
id: 174585061
{'hecke_orbit_code': 27021597797777915, 'n': 62, 'trace_an': -8}
-
id: 174585062
{'hecke_orbit_code': 27021597797777915, 'n': 63, 'trace_an': -3}
-
id: 174585063
{'hecke_orbit_code': 27021597797777915, 'n': 64, 'trace_an': 7}
-
id: 174585064
{'hecke_orbit_code': 27021597797777915, 'n': 65, 'trace_an': 0}
-
id: 174585065
{'hecke_orbit_code': 27021597797777915, 'n': 66, 'trace_an': -2}
-
id: 174585066
{'hecke_orbit_code': 27021597797777915, 'n': 67, 'trace_an': 5}
-
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