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mf_newforms • Show schema
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{'Nk2': 1920, 'analytic_conductor': 3.8328192970214583, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [480, 2, [31, 421, 161, 97], [2, 1, 2, 1]], 'cm_discs': [], 'conrey_index': 49, 'conrey_indexes': [49], 'dim': 6, 'field_disc': -839056, 'field_disc_factorization': [[-1, 1], [2, 4], [229, 2]], 'field_poly': [1, 0, 8, 0, 6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[13, [56, -16, -4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819355616, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 40, 6, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '480.2.d.b', 'level': 480, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.2.d.a', 'nf_label': '6.0.839056.1', 'prim_orbit_index': 6, 'qexp_display': 'q+q^{3}+\\beta _{4}q^{5}+\\beta _{1}q^{7}+q^{9}+(\\beta _{1}+\\beta _{5})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '480.2.d', 'trace_display': [0, 6, 0, 0], 'trace_hash': 1781579786826156574, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.544', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.195', 'prec': 17}, {'__RealLiteral__': 0, 'data': '158.656', 'prec': 24}, {'__RealLiteral__': 0, 'data': '92.207', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 1, 0, -1, -1], [0, 0, 0, 0, 0, 0], [0, 1, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -1, 1, 0, -1, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, -1], [0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 1, 2], [0, 0, 0, 0, 0, 0], [3, 0, -1, -1, -1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0], [-1, -1, -1, 1, 1, 1], [0, 0, 0, 0, 0, 0], [3, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -2, -2, -2, 0], [0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, -1, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 2, 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[2, 0, 4, 0, 4, 0], [6, 0, -6, 0, -6, 0], [-34, 0, -3, 2, -3, 0], [-12, 0, -4, 8, -4, 0], [-12, 0, -9, 0, -9, 0], [14, 0, 8, -4, 8, 0], [0, -3, 9, 0, -9, -14], [0, 12, -1, 0, 1, 6], [0, 1, 8, 0, -8, -4], [16, 0, 4, 4, 4, 0], [0, 6, 12, 0, -12, 0], [-38, 0, -2, 2, -2, 0], [-21, 0, 2, -5, 2, 0], [0, -4, 3, 0, -3, -3], [0, -3, 1, 0, -1, -2], [0, -5, -1, 0, 1, 4], [-17, 0, -4, 3, -4, 0], [-20, 0, -6, 2, -6, 0], [16, 0, -4, -4, -4, 0], [0, 7, 11, 0, -11, 4], [-32, 0, 2, 0, 2, 0], [-16, 0, 0, 0, 0, 0], [19, 0, -1, 7, -1, 0], [2, 0, -4, -8, -4, 0], [0, -4, 0, 0, 0, 8], [0, 4, 7, 0, -7, 4], [-12, 0, 8, 0, 8, 0], [0, -4, 3, 0, -3, -11], [0, 1, -4, 0, 4, 4], [0, 1, 10, 0, -10, -1], [0, 8, -3, 0, 3, 7], [0, -13, -5, 0, 5, -2], [1, 0, -3, -11, -3, 0], [11, 0, -6, -5, -6, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, 8, 0, 6, 0, 1], 'hecke_orbit_code': 4503805819355616, 'hecke_ring_character_values': [[31, [1, 0, 0, 0, 0, 0]], [421, [-1, 0, 0, 0, 0, 0]], [161, [1, 0, 0, 0, 0, 0]], [97, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-4, 0, 1, 0, 1, 0], [0, -3, -1, 0, 1, 1], [13, 0, -4, 1, -4, 0], [0, 11, 6, 0, -6, -5]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0], [2, 4, 1, 5, 0, 1], [3, 0, 8, 0, 2, 0], [2, -4, 1, -5, 0, -1], [0, 14, 0, 12, 0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '480.2.d.b', 'level': 480, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1920, 'analytic_conductor': 3.8328192970214583, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [480, 2, [31, 421, 161, 97], [2, 1, 2, 1]], 'conrey_index': 49, 'cusp_dim': 80, 'dim': 12, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [13], 'hecke_orbit_code': 206191985120, 'hecke_orbit_dims': [6, 6], 'label': '480.2.d', 'level': 480, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 112, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 6, 'relative_dim': 12, 'sturm_bound': 192, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, -8, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 12, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -48, 0, 16, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 96, 0, -8, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 88, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, -48, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, -12, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -112, 0, -40, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, -12, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 160, 0, -128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 160, 0, -168, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 48, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -256, 0, 40, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 88, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 128, 0, 32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 256, 0, 256, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 176, 0, 24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -32, 0, -40, 0, 0, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -448, 0, -84, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -160, 0, -232, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 256, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 288, 0, -84, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 343885
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.d.a', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 343886
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.d.a', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 343887
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '120.2.d.b', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 343888
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '120.2.d.b', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 343889
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '360.2.d.e', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 343890
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '360.2.d.e', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 343891
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '360.2.d.f', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 343892
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '360.2.d.f', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 343893
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '480.2.d.a', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 343894
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '480.2.d.a', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 343895
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '480.2.d.b', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 343896
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '480.2.d.b', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 343897
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.2.k.f', 'target_level': 600, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 343898
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.2.k.f', 'target_level': 600, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 343899
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1440.2.d.e', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 343900
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1440.2.d.e', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 343901
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1440.2.d.f', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 343902
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1440.2.d.f', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 343903
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1800.2.k.u', 'target_level': 1800, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 343904
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1800.2.k.u', 'target_level': 1800, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 343905
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2400.2.k.f', 'target_level': 2400, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 343906
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2400.2.k.f', 'target_level': 2400, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 343907
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3840.2.f.l', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 343908
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3840.2.f.l', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 343909
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.f.m', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 343910
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.f.m', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 343911
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7200.2.k.u', 'target_level': 7200, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 343912
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '480.2.d.b', 'source_level': 480, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7200.2.k.u', 'target_level': 7200, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 945725
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503805819355616, 'p': 2}
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id: 945726
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 4503805819355616, 'p': 3}
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id: 945727
{'charpoly_factorization': [[[125, 0, -5, 8, -1, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 5}
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id: 945728
{'charpoly_factorization': [[[64, 0, 128, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 7}
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id: 945729
{'charpoly_factorization': [[[64, 0, 96, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 11}
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id: 945730
{'charpoly_factorization': [[[56, -16, -4, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 13}
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id: 945731
{'charpoly_factorization': [[[1024, 0, 368, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 17}
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id: 945732
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 19}
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id: 945733
{'charpoly_factorization': [[[16384, 0, 2304, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 23}
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id: 945734
{'charpoly_factorization': [[[12544, 0, 3120, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 29}
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id: 945735
{'charpoly_factorization': [[[64, -4, -8, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 31}
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id: 945736
{'charpoly_factorization': [[[8, 0, -8, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 37}
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id: 945737
{'charpoly_factorization': [[[56, -100, 2, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 41}
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id: 945738
{'charpoly_factorization': [[[64, -64, 0, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 43}
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id: 945739
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 47}
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id: 945740
{'charpoly_factorization': [[[-8, 32, 12, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 53}
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id: 945741
{'charpoly_factorization': [[[179776, 0, 9888, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 59}
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id: 945742
{'charpoly_factorization': [[[65536, 0, 7168, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 61}
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id: 945743
{'charpoly_factorization': [[[-64, -64, 0, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 67}
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id: 945744
{'charpoly_factorization': [[[-128, -80, 8, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 71}
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id: 945745
{'charpoly_factorization': [[[16384, 0, 34560, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 73}
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id: 945746
{'charpoly_factorization': [[[-64, -4, 8, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 79}
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id: 945747
{'charpoly_factorization': [[[-448, -64, 8, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 83}
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id: 945748
{'charpoly_factorization': [[[-1384, -164, 10, 1], 2]], 'hecke_orbit_code': 4503805819355616, 'p': 89}
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id: 945749
{'charpoly_factorization': [[[262144, 0, 28416, 0, 336, 0, 1], 1]], 'hecke_orbit_code': 4503805819355616, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '480.2.d.b', 'level': 480, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 83389000
{'hecke_orbit_code': 4503805819355616, 'n': 1, 'trace_an': 6}
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id: 83389001
{'hecke_orbit_code': 4503805819355616, 'n': 2, 'trace_an': 0}
-
id: 83389002
{'hecke_orbit_code': 4503805819355616, 'n': 3, 'trace_an': 6}
-
id: 83389003
{'hecke_orbit_code': 4503805819355616, 'n': 4, 'trace_an': 0}
-
id: 83389004
{'hecke_orbit_code': 4503805819355616, 'n': 5, 'trace_an': 0}
-
id: 83389005
{'hecke_orbit_code': 4503805819355616, 'n': 6, 'trace_an': 0}
-
id: 83389006
{'hecke_orbit_code': 4503805819355616, 'n': 7, 'trace_an': 0}
-
id: 83389007
{'hecke_orbit_code': 4503805819355616, 'n': 8, 'trace_an': 0}
-
id: 83389008
{'hecke_orbit_code': 4503805819355616, 'n': 9, 'trace_an': 6}
-
id: 83389009
{'hecke_orbit_code': 4503805819355616, 'n': 10, 'trace_an': 0}
-
id: 83389010
{'hecke_orbit_code': 4503805819355616, 'n': 11, 'trace_an': 0}
-
id: 83389011
{'hecke_orbit_code': 4503805819355616, 'n': 12, 'trace_an': 0}
-
id: 83389012
{'hecke_orbit_code': 4503805819355616, 'n': 13, 'trace_an': 8}
-
id: 83389013
{'hecke_orbit_code': 4503805819355616, 'n': 14, 'trace_an': 0}
-
id: 83389014
{'hecke_orbit_code': 4503805819355616, 'n': 15, 'trace_an': 0}
-
id: 83389015
{'hecke_orbit_code': 4503805819355616, 'n': 16, 'trace_an': 0}
-
id: 83389016
{'hecke_orbit_code': 4503805819355616, 'n': 17, 'trace_an': 0}
-
id: 83389017
{'hecke_orbit_code': 4503805819355616, 'n': 18, 'trace_an': 0}
-
id: 83389018
{'hecke_orbit_code': 4503805819355616, 'n': 19, 'trace_an': 0}
-
id: 83389019
{'hecke_orbit_code': 4503805819355616, 'n': 20, 'trace_an': 0}
-
id: 83389020
{'hecke_orbit_code': 4503805819355616, 'n': 21, 'trace_an': 0}
-
id: 83389021
{'hecke_orbit_code': 4503805819355616, 'n': 22, 'trace_an': 0}
-
id: 83389022
{'hecke_orbit_code': 4503805819355616, 'n': 23, 'trace_an': 0}
-
id: 83389023
{'hecke_orbit_code': 4503805819355616, 'n': 24, 'trace_an': 0}
-
id: 83389024
{'hecke_orbit_code': 4503805819355616, 'n': 25, 'trace_an': 2}
-
id: 83389025
{'hecke_orbit_code': 4503805819355616, 'n': 26, 'trace_an': 0}
-
id: 83389026
{'hecke_orbit_code': 4503805819355616, 'n': 27, 'trace_an': 6}
-
id: 83389027
{'hecke_orbit_code': 4503805819355616, 'n': 28, 'trace_an': 0}
-
id: 83389028
{'hecke_orbit_code': 4503805819355616, 'n': 29, 'trace_an': 0}
-
id: 83389029
{'hecke_orbit_code': 4503805819355616, 'n': 30, 'trace_an': 0}
-
id: 83389030
{'hecke_orbit_code': 4503805819355616, 'n': 31, 'trace_an': 16}
-
id: 83389031
{'hecke_orbit_code': 4503805819355616, 'n': 32, 'trace_an': 0}
-
id: 83389032
{'hecke_orbit_code': 4503805819355616, 'n': 33, 'trace_an': 0}
-
id: 83389033
{'hecke_orbit_code': 4503805819355616, 'n': 34, 'trace_an': 0}
-
id: 83389034
{'hecke_orbit_code': 4503805819355616, 'n': 35, 'trace_an': -4}
-
id: 83389035
{'hecke_orbit_code': 4503805819355616, 'n': 36, 'trace_an': 0}
-
id: 83389036
{'hecke_orbit_code': 4503805819355616, 'n': 37, 'trace_an': 16}
-
id: 83389037
{'hecke_orbit_code': 4503805819355616, 'n': 38, 'trace_an': 0}
-
id: 83389038
{'hecke_orbit_code': 4503805819355616, 'n': 39, 'trace_an': 8}
-
id: 83389039
{'hecke_orbit_code': 4503805819355616, 'n': 40, 'trace_an': 0}
-
id: 83389040
{'hecke_orbit_code': 4503805819355616, 'n': 41, 'trace_an': -4}
-
id: 83389041
{'hecke_orbit_code': 4503805819355616, 'n': 42, 'trace_an': 0}
-
id: 83389042
{'hecke_orbit_code': 4503805819355616, 'n': 43, 'trace_an': 0}
-
id: 83389043
{'hecke_orbit_code': 4503805819355616, 'n': 44, 'trace_an': 0}
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id: 83389044
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