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mf_newforms • Show schema
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{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [13, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [624, 1, [79, 469, 209, 145], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 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': [[5, [-2, 1]], [7, [-4, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052519024, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '624.2.a.i', 'level': 624, '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': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '39.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+2q^{5}+4q^{7}+q^{9}-4q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/624/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '624.2.a', 'trace_display': [0, 1, 2, 4], 'trace_hash': 537655653692407192, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.978', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.925', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.763', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 0, 1, 0, 2, 0, 4, 0, 1, 0, -4, 0, 1, 0, 2, 0, 2, 0, 0, 0, 4, 0, 0, 0, -1, 0, 1, 0, -10, 0, -4, 0, -4, 0, 8, 0, -2, 0, 1, 0, 6, 0, 12, 0, 2, 0, 0, 0, 9, 0, 2, 0, 6, 0, -8, 0, 0, 0, -12, 0, -2, 0, 4, 0, 2, 0, 8, 0, 0, 0, 0, 0, 2, 0, -1, 0, -16, 0, -8, 0, 1, 0, -4, 0, 4, 0, -10, 0, -2, 0, 4, 0, -4, 0, 0, 0, 10, 0, -4, 0, -18, 0, 0, 0, 8, 0, -12, 0, -2, 0, -2, 0, -6, 0, 0, 0, 1, 0, 8, 0, 5, 0, 6, 0, -12, 0, 16, 0, 12, 0, -4, 0, 0, 0, 2, 0, 6, 0, -12, 0, 0, 0, -4, 0, -20, 0, 9, 0, -6, 0, -4, 0, 2, 0, -8, 0, -18, 0, 6, 0, 0, 0, -8, 0, -8, 0, 8, 0, 1, 0, 0, 0, 6, 0, -4, 0, -12, 0, -4, 0, -10, 0, -2, 0, -4, 0, -8, 0, 4, 0, -8, 0, 18, 0, 2, 0, 18, 0, -8, 0, 8, 0, -40, 0, 12, 0, 0, 0, 0, 0, 20, 0, 0, 0, 24, 0, -16, 0, 2, 0, 2, 0, -4, 0, -1, 0, 20, 0, -10, 0, -16, 0, -14, 0, 0, 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0, -8, 0, 12, 0, -16, 0, 0, 0, 4, 0, -22, 0, 0, 0, 4, 0, -4, 0, -34, 0, -10, 0, 18, 0, 16, 0, -4, 0, -48, 0, 71, 0, -10, 0, 2, 0, 20, 0, -12, 0, 0, 0, 30, 0, 0, 0, -46, 0, 44, 0, 24, 0, -16, 0, 12, 0, -13, 0, 32, 0, 8, 0, 10, 0, -48, 0, -10, 0, -6, 0, 58, 0, 44, 0, -24, 0, 48, 0, 64, 0, -4, 0, 0, 0, -8, 0, 0, 0, 40, 0, 12, 0, 48, 0, -20, 0, -12, 0, -18, 0, 40, 0, 16, 0, -4, 0, -16, 0, 48, 0, 16, 0, 0, 0, 2, 0, 0, 0, 30, 0, 0, 0, 0, 0, -16, 0, 26, 0, -6, 0, -14, 0, 0, 0, 8, 0, 60, 0, 2, 0, 26, 0, -30, 0, -16, 0, 40, 0, 24, 0, -15, 0, -12, 0, 36, 0, 52, 0, 0, 0, 60, 0, -48, 0, -1, 0, -42, 0, 8, 0, -2, 0, -16, 0, 36, 0, 0, 0, 0, 0, -16, 0, 16, 0, -16, 0, -26, 0, -2, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [2], [0], [4], [0], [1], [0], [-4], [0], [1], [0], [2], [0], [2], [0], [0], [0], [4], [0], [0], [0], [-1], [0], [1], [0], [-10], [0], [-4], [0], [-4], [0], [8], [0], [-2], [0], [1], [0], [6], [0], [12], [0], [2], [0], [0], [0], [9], [0], [2], [0], [6], [0], [-8], [0], [0], [0], [-12], [0], [-2], [0], [4], [0], [2], [0], [8], [0], [0], [0], [0], [0], [2], [0], [-1], [0], [-16], [0], [-8], [0], [1], [0], [-4], [0], [4], [0], [-10], [0], [-2], [0], [4], [0], [-4], [0], [0], [0], [10], [0], [-4], [0]], 'ap': [[0], [1], [2], [4], [-4], [1], [2], [0], [0], [-10], [-4], [-2], [6], [12], [0], [6], [-12], [-2], [8], [0], [2], [-8], [-4], [-2], [10], [-18], [0], [-12], [-2], [-6], [16], [-4], [6], [-12], [-6], [-4], [-18], [-8], [8], [6], [-4], [-10], [-8], [18], [18], [-8], [20], [-4], [20], [-10], [-14], [24], [10], [12], [26], [-24], [22], [12], [-10], [-10], [-12], [-6], [16], [0], [-6], [26], [16], [18], [12], [-26], [-2], [-24], [-16], [-26], [24], [16], [22], [38], [22], [34], [-4], [-10], [0], [34], [-32], [4], [22], [2], [-38], [-4], [-12], [24], [-12], [12], [24], [8], [10], [18], [-44], [30], [-4], [18], [12], [34], [4], [-46], [-28], [-26], [40], [-38], [16], [-2], [22], [-24], [-20], [2], [40], [8], [6], [-28], [30], [-14], [22], [12], [24], [-34], [-26], [24], [-8], [30], [-32], [-48], [-8], [22], [-10], [-30], [10], [32], [46], [-30], [-8], [-22], [0], [-4], [-34], [-48], [30], [-46], [44], [-16], [-10], [58], [44], [48], [-12], [40], [48], [30], [26], [-14], [60], [-30], [52], [60], [-42], [-16], [-16], [-26]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 36028797052519024, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '624.2.a.i', 'level': 624, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 1, 2, 1, 2, 1, 0, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [8, 14, 14, 9, 10, 13, 13, 8], 'Nk2': 2496, 'analytic_conductor': 4.982665086127896, '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': [624, 1, [79, 469, 209, 145], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 101, 'dim': 12, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33555056, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], 'label': '624.2.a', 'level': 624, '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': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 124, 'mf_new_dim': 12, 'num_forms': 11, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 224, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [12, 0, 0, 0, 0, 0, 4, 0, 12, 0, 8, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, -16, 0, 20, 0, 0, 0, -16, 0, 20, 0, 8, 0, 0, 0, -16, 0, 4, 0, 0, 0, 16, 0, 0, 0, 24, 0, 20, 0, 8, 0, -8, 0, -16, 0, 0, 0, 0, 0, -8, 0, 4, 0, 0, 0, 20, 0, -16, 0, -16, 0, 8, 0, 8, 0, -8, 0, 16, 0, 12, 0, -48, 0, 0, 0, 0, 0, 0, 0, -12, 0, 16, 0, 0, 0, -8, 0, 8, 0, 8, 0, -16, 0, 0, 0, -16, 0, -16, 0, 16, 0, -32, 0, 16, 0, 0, 0, -72, 0, -28, 0, -12, 0, -48, 0, -8, 0, 0, 0, -48, 0, -8, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 32, 0, -48, 0, -4, 0, 0, 0, 32, 0, 16, 0, -16, 0, 0, 0, -28, 0, 0, 0, 8, 0, 12, 0, -4, 0, -24, 0, 60, 0, -8, 0, -16, 0, -16, 0, 8, 0, 64, 0, -16, 0, 0, 0, -16, 0, 8, 0, -12, 0, 0, 0, -40, 0, 0, 0, -40, 0, -48, 0, -16, 0, 24, 0, 48, 0, 16, 0, -16, 0, 24, 0, -24, 0, 8, 0, -92, 0, 20, 0, 56, 0, 16, 0, -24, 0, 8, 0, -80, 0, 0, 0, 112, 0, -8, 0, 0, 0, -48, 0, 12, 0, -24, 0, 32, 0, 16, 0, 8, 0, 40, 0, 40, 0, -16, 0, -16, 0, 0, 0, -36, 0, 16, 0, 52, 0, 0, 0, 120, 0, -8, 0, 20, 0, 16, 0, -24, 0, -16, 0, 96, 0, 4, 0, 24, 0, -16, 0, 16, 0, 8, 0, 0, 0, 32, 0, -24, 0, 48, 0, 12, 0, 32, 0, -96, 0, -16, 0, 0, 0, 32, 0, 80, 0, -32, 0, 40, 0, -16, 0, -24, 0, -24, 0, -44, 0, -16, 0, 96, 0, -32, 0, -16, 0, 72, 0, 8, 0, -16, 0, 48, 0, -16, 0, 4, 0, 0, 0, 112, 0, 16, 0, 40, 0, 36, 0, 8, 0, 32, 0, -24, 0, 0, 0, 24, 0, 64, 0, 24, 0, -8, 0, 76, 0, 0, 0, -40, 0, -96, 0, 16, 0, 48, 0, 32, 0, -32, 0, -144, 0, 64, 0, 48, 0, 16, 0, -12, 0, 0, 0, 32, 0, -24, 0, -12, 0, 24, 0, -112, 0, 0, 0, 64, 0, 32, 0, 24, 0, 32, 0, -72, 0, 0, 0, -40, 0, 24, 0, -40, 0, 96, 0, -64, 0, 20, 0, -80, 0, -16, 0, -68, 0, 16, 0, -32, 0, -32, 0, 0, 0, -56, 0, 8, 0, 112, 0, 100, 0, -64, 0, 96, 0, -40, 0, 0, 0, -64, 0, -124, 0, -8, 0, -80, 0, 8, 0, 32, 0, 0, 0, -28, 0, 16, 0, -128, 0, -16, 0, -16, 0, -136, 0, -12, 0, -16, 0, -112, 0, -64, 0, 0, 0, 80, 0, -104, 0, 0, 0, -16, 0, 88, 0, -24, 0, -64, 0, -8, 0, -48, 0, 24, 0, -116, 0, 0, 0, 0, 0, -32, 0, -16, 0, 56, 0, -16, 0, -48, 0, -32, 0, 8, 0, -8, 0, 200, 0, -80, 0, -72, 0, 64, 0, 32, 0, 16, 0, -48, 0, -64, 0, 4, 0, -56, 0, 120, 0, 48, 0, -16, 0, -24, 0, -48, 0, 104, 0, -48, 0, 0, 0, 0, 0, 104, 0, 84, 0, -32, 0, 128, 0, 0, 0, 96, 0, 48, 0, 20, 0, 0, 0, 56, 0, -16, 0, 0, 0, -112, 0, -136, 0, -112, 0, -180, 0, -16, 0, -48, 0, 60, 0, 40, 0, -16, 0, 44, 0, 16, 0, 80, 0, 8, 0, -16, 0, 64, 0, -92, 0, 32, 0, 96, 0, 40, 0, 48, 0, -144, 0, -32, 0, 8, 0, 176, 0, 128, 0, 16, 0, -80, 0, 64, 0, -48, 0, 16, 0, -96, 0, 8, 0, 56, 0, -72, 0, 8, 0, -40, 0, -112, 0, 56, 0, 16, 0, 36, 0, -8, 0, -112, 0, 96, 0, 56, 0, -16, 0, 24, 0, 16, 0, -184, 0, -96, 0, 16, 0, 32, 0, -16, 0, 16, 0, 64, 0, 48, 0, -72, 0, -176, 0, 8, 0, 12, 0, 0, 0, 32, 0, 52, 0, -72, 0, -52, 0, 0, 0, -96, 0, -80, 0, -48, 0, -64, 0, 64, 0, 0, 0, -64, 0, 56, 0, -48, 0, 32, 0, -8, 0, 0, 0, -24, 0, 24, 0, 104, 0, -64, 0, 44, 0, 64, 0, 64, 0, -56, 0, 0, 0, 16, 0, 44, 0, 32, 0, -120, 0, -32, 0, 24, 0, 80, 0, 80, 0, 0, 0, -80, 0, 64, 0, -16, 0, 96, 0, 28, 0, 80, 0, -192, 0, 32, 0, -12, 0, -48, 0, -128, 0, -8, 0, 8, 0, -24, 0, 48, 0, -80, 0, -80, 0, 16, 0, -32, 0, 116, 0, -60, 0, 0, 0, 20, 0, 16, 0, 96, 0, 112, 0, 0, 0, -56, 0, 96, 0, 48, 0, 152, 0, 160, 0, -96, 0, -32, 0, 20, 0, -8, 0, -224, 0, 112, 0, 44, 0, 40, 0, 24, 0, -32, 0, -16, 0, 32, 0, 8, 0, -184, 0, 96, 0, 0, 0, 120, 0, -96, 0, 80, 0, 144, 0, 56, 0, 8, 0, 48, 0, -8, 0, 136, 0, 32, 0, 48, 0, 64, 0, 24, 0, 80, 0, -16, 0, 80, 0, 28, 0, 48, 0, -32, 0, -72, 0, 24, 0, 64, 0, 112, 0, 0, 0, 48, 0, 0, 0, 4, 0, 8, 0, 16, 0, 16, 0, 160, 0, -12, 0, -16, 0, 96, 0, -140, 0, -112, 0, 160, 0, 16, 0, 20, 0, 112, 0, 64, 0, -16, 0, -112, 0, 16, 0, -8, 0, -64, 0, 120, 0, 16, 0, 48, 0, 136, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 418176
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '39.2.a.a', 'target_level': 39, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418177
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '117.2.a.a', 'target_level': 117, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418178
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.a.a', 'target_level': 507, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418179
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.b.a', 'target_level': 507, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418180
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '507.2.e.a', 'target_level': 507, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 418181
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '507.2.e.b', 'target_level': 507, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 418182
{'conductor': 52, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.j.e', 'target_level': 507, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418183
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '624.2.a.i', 'target_level': 624, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 418184
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.a.f', 'target_level': 975, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418185
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '975.2.c.f', 'target_level': 975, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 418186
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1053.2.e.b', 'target_level': 1053, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418187
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1053.2.e.d', 'target_level': 1053, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418188
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1521.2.a.e', 'target_level': 1521, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418189
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1521.2.b.b', 'target_level': 1521, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418190
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1872.2.a.h', 'target_level': 1872, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418191
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1911.2.a.f', 'target_level': 1911, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418192
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2496.2.a.e', 'target_level': 2496, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418193
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2496.2.a.q', 'target_level': 2496, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418194
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2925.2.a.p', 'target_level': 2925, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418195
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2925.2.c.e', 'target_level': 2925, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 418196
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4719.2.a.c', 'target_level': 4719, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 418197
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '5733.2.a.e', 'target_level': 5733, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418198
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '7488.2.a.bl', 'target_level': 7488, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418199
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '7488.2.a.by', 'target_level': 7488, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418200
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '624.2.a.i', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8112.2.a.s', 'target_level': 8112, 'twist_class_label': '39.2.a.a', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1129225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 2}
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id: 1129226
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 3}
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id: 1129227
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 5}
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id: 1129228
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 7}
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id: 1129229
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 11}
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id: 1129230
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 13}
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id: 1129231
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 17}
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id: 1129232
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 19}
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id: 1129233
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 23}
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id: 1129234
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 29}
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id: 1129235
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 31}
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id: 1129236
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 37}
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id: 1129237
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 41}
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id: 1129238
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 43}
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id: 1129239
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 47}
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id: 1129240
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 53}
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id: 1129241
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 59}
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id: 1129242
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 61}
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id: 1129243
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 67}
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id: 1129244
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 71}
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id: 1129245
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 73}
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id: 1129246
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 79}
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id: 1129247
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 83}
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id: 1129248
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 89}
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id: 1129249
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 36028797052519024, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '624.2.a.i', 'level': 624, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50304559
{'hecke_orbit_code': 36028797052519024, 'n': 1, 'trace_an': 1}
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id: 50304560
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