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mf_newforms • Show schema
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{'Nk2': 1080, 'analytic_conductor': 2.1559608545745705, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [270, 6, [191, 217], [4, 3]], 'cm_discs': [], 'conrey_index': 19, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [16, 0, -80, 0, 396, 0, -20, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504149416739086, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 45, 10, 1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '270.2.i.b', 'level': 270, '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, 5], 'level_radical': 30, 'minimal_twist': '90.2.i.b', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 10, 'qexp_display': 'q+(-\\beta_{4}+\\beta_1)q^{2}+(-\\beta_{2}+1)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '270.2.i', 'trace_display': [0, 0, 4, 0], 'trace_hash': 2189137429573055338, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.232', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '389.061', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '35282.948', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.516', 'prec': 17}, 'traces': [8, 0, 0, 4, 4, 0, 0, 0, 0, -8, -4, 0, 0, 8, 0, -4, 0, 0, 24, -4, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -16, 0, 0, 4, -40, 0, 0, 0, 0, -4, -4, 0, 0, -8, 0, -16, 0, 0, 12, 4, 0, 0, 0, 0, -32, -8, 0, 0, -4, 0, -8, 0, 0, -8, 12, 0, 0, 0, 0, 4, 0, 0, 0, 32, 0, 12, 0, 0, 0, -8, 0, 0, 0, 0, -20, -20, 0, 0, 64, 0, -48, 0, 0, 8, 24, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 24, 0, 0, 64, -8, 0, 0, 0, 0, -16, 48, 0, 0, -40, 0, 16, 0, 0, 16, -56, 0, 0, 0, 0, 12, 0, 0, 0, -56, 0, 8, 0, 0, 4, -20, 0, 0, 0, 0, 48, -20, 0, 0, -16, 0, 8, 0, 0, 32, 4, 0, 0, 0, 0, 4, 64, 0, 0, 4, 0, -16, 0, 0, -28, 56, 0, 0, 0, 0, 8, -4, 0, 0, 32, 0, 64, 0, 0, -8, 32, 0, 0, 0, 0, 0, 24, 0, 0, 52, 0, -12, 0, 0, -144, -4, 0, 0, 0, 0, 4, -16, 0, 0, -36, 0, 24, 0, 0, -36, 64, 0, 0, 0, 0, -16, -48, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.6123724356957945, -0.3535533905932738], [0.0, 0.0], [0.25, -0.4330127018922193], [-0.9118944646486027, -0.4104247620980468], [0.0, 0.0], [1.4564373964452504, -0.8408745228955029], [0.0, -0.3535533905932738], [0.0, 0.0], [-0.7035261006375796, 0.07107056860390376], [0.21851880064911638, 0.3784856651332845], [0.0, 0.0], [-0.5883484054145521, -0.3396831102433787], [0.5945880772664129, -1.0298567594001167], [0.0, 0.0], [-0.125, -0.21650635094610965], [0.0, -0.9456414265356762], [0.0, 0.0], [0.12629571466266892, 0.0], [-0.40569275132169724, 0.29225569545353863], [0.0, 0.0], [0.26762978039764634, 0.15451612575574153], [0.5234941776720752, 0.3022395043981744], [0.0, 0.0], [0.6631030293135234, 0.748528137423857], [-0.4803844614152614, 0.0], [0.0, 0.0], [0.0, -0.8408745228955029], [0.5570860145311556, 0.9649012813540153], [0.0, 0.0], [-0.5791812765855797, 1.0031713978388266], [-0.15309310892394862, -0.08838834764831845], [0.0, 0.0], [-0.3343347326371485, 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mf_newspaces • Show schema
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{'Nk2': 1080, 'analytic_conductor': 2.1559608545745705, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [270, 6, [191, 217], [4, 3]], 'conrey_index': 19, 'cusp_dim': 84, 'dim': 12, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 549789368590, 'hecke_orbit_dims': [4, 8], 'label': '270.2.i', 'level': 270, '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, 5], 'level_radical': 30, 'mf_dim': 132, 'mf_new_dim': 12, 'num_forms': 2, 'prim_orbit_index': 10, 'relative_dim': 6, 'sturm_bound': 108, 'trace_bound': 1, 'trace_display': [0, 0, 2, 0], 'traces': [12, 0, 0, 6, 2, 0, 0, 0, 0, 0, -8, 0, 0, 10, 0, -6, 0, 0, 0, -2, 0, 0, 0, 0, 6, 24, 0, 0, 6, 0, -12, 0, 0, 0, -32, 0, 0, 0, 0, 0, -26, 0, 0, -16, 0, -12, 0, 0, 0, -4, 0, 0, 0, 0, -24, -10, 0, 0, 4, 0, 6, 0, 0, -12, 36, 0, 0, 0, 0, 6, 24, 0, 0, 28, 0, 0, 0, 0, -24, -4, 0, 0, 0, 0, -12, -28, 0, 0, 68, 0, -24, 0, 0, -6, 36, 0, 0, 0, 0, 12, -28, 0, 0, 12, 0, 24, 0, 0, 36, -16, 0, 0, 0, 0, -12, 12, 0, 0, -44, 0, 30, 0, 0, 12, -100, 0, 0, 0, 0, 0, 24, 0, 0, -100, 0, 0, 0, 0, 36, -16, 0, 0, 0, 0, 84, -28, 0, 0, -14, 0, -12, 0, 0, 24, 8, 0, 0, 0, 0, 0, 68, 0, 0, 26, 0, 6, 0, 0, 18, 64, 0, 0, 0, 0, 0, -8, 0, 0, 40, 0, 12, 0, 0, -6, 40, 0, 0, 0, 0, -48, 36, 0, 0, 68, 0, 0, 0, 0, -72, 4, 0, 0, 0, 0, -18, 16, 0, 0, -12, 0, -12, 0, 0, -30, 32, 0, 0, 0, 0, -12, -24, 0, 0, -20, 0, 48, 0, 0, -78, -34, 0, 0, 0, 0, -48, -4, 0, 0, -112, 0, -6, 0, 0, 12, 24, 0, 0, 0, 0, -24, -144, 0, 0, 46, 0, -6, 0, 0, 60, 72, 0, 0, 0, 0, 36, -12, 0, 0, -36, 0, -24, 0, 0, 12, -36, 0, 0, 0, 0, 12, 42, 0, 0, 12, 0, -48, 0, 0, -12, -60, 0, 0, 0, 0, 72, 56, 0, 0, -36, 0, -72, 0, 0, 0, -68, 0, 0, 0, 0, 36, 84, 0, 0, -112, 0, -48, 0, 0, -12, -2, 0, 0, 0, 0, -96, -8, 0, 0, -22, 0, 0, 0, 0, -84, -4, 0, 0, 0, 0, 12, -32, 0, 0, 28, 0, 0, 0, 0, -54, 108, 0, 0, 0, 0, 0, 34, 0, 0, 168, 0, 36, 0, 0, -12, 44, 0, 0, 0, 0, 72, 72, 0, 0, 44, 0, 6, 0, 0, 168, -36, 0, 0, 0, 0, -36, 32, 0, 0, -118, 0, 108, 0, 0, 48, 120, 0, 0, 0, 0, 6, 56, 0, 0, -56, 0, 60, 0, 0, 120, -40, 0, 0, 0, 0, 120, -12, 0, 0, -52, 0, 12, 0, 0, 48, 20, 0, 0, 0, 0, 0, -272, 0, 0, 52, 0, 18, 0, 0, 48, -32, 0, 0, 0, 0, 6, -10, 0, 0, 144, 0, 96, 0, 0, -12, -12, 0, 0, 0, 0, -24, -42, 0, 0, 6, 0, 24, 0, 0, -204, -34, 0, 0, 0, 0, -84, -88, 0, 0, -64, 0, 24, 0, 0, -30, -40, 0, 0, 0, 0, -84, 84, 0, 0, -96, 0, 24, 0, 0, -84, -50, 0, 0, 0, 0, -72, 52, 0, 0, -18, 0, 48, 0, 0, 72, -20, 0, 0, 0, 0, 0, 92, 0, 0, -24, 0, -72, 0, 0, -24, 24, 0, 0, 0, 0, -12, -50, 0, 0, 216, 0, -228, 0, 0, 0, 46, 0, 0, 0, 0, 24, 180, 0, 0, 4, 0, -36, 0, 0, -48, 16, 0, 0, 0, 0, 72, 28, 0, 0, 32, 0, -60, 0, 0, 30, -32, 0, 0, 0, 0, 42, -10, 0, 0, -56, 0, -216, 0, 0, -48, -40, 0, 0, 0, 0, 0, 14, 0, 0, -72, 0, -72, 0, 0, -24, 22, 0, 0, 0, 0, 24, -120, 0, 0, 30, 0, 12, 0, 0, -144, 16, 0, 0, 0, 0, -78, -16, 0, 0, -80, 0, 0, 0, 0, 12, -92, 0, 0, 0, 0, 0, -122, 0, 0, 34, 0, 84, 0, 0, 216, -12, 0, 0, 0, 0, 0, 52, 0, 0, 64, 0, 36, 0, 0, -6, -72, 0, 0, 0, 0, 6, -4, 0, 0, 40, 0, 36, 0, 0, 120, 32, 0, 0, 0, 0, 120, -38, 0, 0, 24, 0, 96, 0, 0, 24, -32, 0, 0, 0, 0, 0, 28, 0, 0, 8, 0, 84, 0, 0, 66, 72, 0, 0, 0, 0, 36, 20, 0, 0, 80, 0, 240, 0, 0, 6, 54, 0, 0, 0, 0, -120, 44, 0, 0, 64, 0, 6, 0, 0, -120, -40, 0, 0, 0, 0, -42, 0, 0, 0, 6, 0, -36, 0, 0, -108, 8, 0, 0, 0, 0, -24, -114, 0, 0, 72, 0, 192, 0, 0, -30, 8, 0, 0, 0, 0, -72, -68, 0, 0, 120, 0, -48, 0, 0, 0, 80, 0, 0, 0, 0, -12, -48, 0, 0, 40, 0, -36, 0, 0, 84, 8, 0, 0, 0, 0, 6, 48, 0, 0, -96, 0, -120, 0, 0, 24, -8, 0, 0, 0, 0, -36, -142, 0, 0, 8, 0, -120, 0, 0, 132, 38, 0, 0, 0, 0, 120, -24, 0, 0, -188, 0, -132, 0, 0, 12, -148, 0, 0, 0, 0, 108, 68, 0, 0, 44, 0, -60, 0, 0, 24, 16, 0, 0, 0, 0, -48, -88, 0, 0, 24, 0, -108, 0, 0, -168, -88, 0, 0, 0, 0, 12, 300, 0, 0, 24, 0, 54, 0, 0, 6, -104, 0, 0, 0, 0, -12, -10, 0, 0, -264, 0, 48, 0, 0, 24, 46, 0, 0, 0, 0, 144, 72, 0, 0, -32, 0, 78, 0, 0, 96, 34, 0, 0, 0, 0, 48, 48, 0, 0, 180, 0, 12, 0, 0, 84, -64, 0, 0, 0, 0, -24, -242, 0, 0, -8, 0, 24, 0, 0, 144, 60, 0, 0, 0, 0, 144, 112, 0, 0, 0, 0, 90, 0, 0, -12, 116, 0, 0, 0, 0, -36, 120, 0, 0, -96, 0, 6, 0, 0, 12, 48, 0, 0, 0, 0, 0, -60, 0, 0, -32, 0, 48, 0, 0, -12, -96, 0, 0, 0, 0, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35737910
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504149416739086, 'target_is_minimal': False, 'target_label': '270.2.i.b.199.3', 'target_level': 270, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35737911
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738906, 'target_is_minimal': True, 'target_label': '90.2.i.b.49.1', 'target_level': 90, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35737912
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 1009, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889504880, 'target_is_minimal': False, 'target_label': '2160.2.by.d.1009.1', 'target_level': 2160, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35737913
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 901, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439908678, 'target_is_minimal': False, 'target_label': '1350.2.e.m.901.2', 'target_level': 1350, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35737914
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 901, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557797190, 'target_is_minimal': False, 'target_label': '1350.2.e.j.901.1', 'target_level': 1350, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35737915
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 199, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149416739086, 'target_is_minimal': False, 'target_label': '270.2.i.b.199.2', 'target_level': 270, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35737916
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504149416738906, 'target_is_minimal': True, 'target_label': '90.2.i.b.79.4', 'target_level': 90, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35737917
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014535981990698, 'target_is_minimal': False, 'target_label': '810.2.c.e.649.4', 'target_level': 810, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35737918
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361194, 'target_is_minimal': False, 'target_label': '810.2.c.f.649.1', 'target_level': 810, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35737919
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149416739086, 'target_is_minimal': False, 'target_label': '270.2.i.b.19.2', 'target_level': 270, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35737920
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9010635262132944, 'target_is_minimal': False, 'target_label': '720.2.by.c.49.4', 'target_level': 720, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35737921
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185166786, 'target_is_minimal': False, 'target_label': '450.2.e.k.301.1', 'target_level': 450, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35737922
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067278274, 'target_is_minimal': False, 'target_label': '450.2.e.n.301.2', 'target_level': 450, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35737923
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504149416738906, 'target_is_minimal': True, 'target_label': '90.2.i.b.49.4', 'target_level': 90, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35737924
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 1009, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13514234889504880, 'target_is_minimal': False, 'target_label': '2160.2.by.d.1009.4', 'target_level': 2160, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 35737925
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13514234889504880, 'target_is_minimal': False, 'target_label': '2160.2.by.d.289.4', 'target_level': 2160, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35737926
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010635262132944, 'target_is_minimal': False, 'target_label': '720.2.by.c.529.1', 'target_level': 720, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35737927
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45036271185166786, 'target_is_minimal': False, 'target_label': '450.2.e.k.151.1', 'target_level': 450, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35737928
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014535981990698, 'target_is_minimal': False, 'target_label': '810.2.c.e.649.2', 'target_level': 810, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35737929
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043470439908678, 'target_is_minimal': False, 'target_label': '1350.2.e.m.451.2', 'target_level': 1350, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35737930
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 229683581029453778, 'target_is_minimal': False, 'target_label': '4050.2.a.bz.1.2', 'target_level': 4050, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35737931
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 649, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518135609361194, 'target_is_minimal': False, 'target_label': '810.2.c.f.649.3', 'target_level': 810, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35737932
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873637330, 'target_is_minimal': False, 'target_label': '4050.2.a.bm.1.1', 'target_level': 4050, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35737933
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 189151184383119314, 'target_is_minimal': False, 'target_label': '4050.2.a.bq.1.2', 'target_level': 4050, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35737934
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416738906, 'target_is_minimal': True, 'target_label': '90.2.i.b.79.1', 'target_level': 90, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35737935
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 198158383637860306, 'target_is_minimal': False, 'target_label': '4050.2.a.bs.1.1', 'target_level': 4050, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35737936
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 19, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504149416739086, 'target_is_minimal': False, 'target_label': '270.2.i.b.19.3', 'target_level': 270, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 35737937
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58547070067278274, 'target_is_minimal': False, 'target_label': '450.2.e.n.151.2', 'target_level': 450, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 35737938
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 451, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557797190, 'target_is_minimal': False, 'target_label': '1350.2.e.j.451.1', 'target_level': 1350, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 35737939
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010635262132944, 'target_is_minimal': False, 'target_label': '720.2.by.c.49.1', 'target_level': 720, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35737940
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 289, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13514234889504880, 'target_is_minimal': False, 'target_label': '2160.2.by.d.289.1', 'target_level': 2160, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '180.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 35737941
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504149416739086, 'source_is_minimal': False, 'source_label': '270.2.i.b.199.3', 'source_level': 270, 'target_conrey_index': 529, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9010635262132944, 'target_is_minimal': False, 'target_label': '720.2.by.c.529.4', 'target_level': 720, 'twist_class_label': '90.2.i.b.49.1', 'twist_class_level': 90, 'twisting_char_label': '180.119', 'twisting_conrey_index': 119, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 614750
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 2}
-
id: 614751
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4504149416739086, 'p': 3}
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id: 614752
{'charpoly_factorization': [[[625, -500, 200, 40, -41, 8, 8, -4, 1], 1]], 'hecke_orbit_code': 4504149416739086, 'p': 5}
-
id: 614753
{'charpoly_factorization': [[[16, 0, -80, 0, 396, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 4504149416739086, 'p': 7}
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id: 614754
{'charpoly_factorization': [[[25, -10, 9, 2, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 11}
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id: 614755
{'charpoly_factorization': [[[36, 0, -6, 0, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 13}
-
id: 614756
{'charpoly_factorization': [[[529, 0, 50, 0, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 17}
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id: 614757
{'charpoly_factorization': [[[3, -6, 1], 4]], 'hecke_orbit_code': 4504149416739086, 'p': 19}
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id: 614758
{'charpoly_factorization': [[[160000, 0, -22400, 0, 2736, 0, -56, 0, 1], 1]], 'hecke_orbit_code': 4504149416739086, 'p': 23}
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id: 614759
{'charpoly_factorization': [[[36, -6, 1], 4]], 'hecke_orbit_code': 4504149416739086, 'p': 29}
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id: 614760
{'charpoly_factorization': [[[100, 80, 54, 8, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 31}
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id: 614761
{'charpoly_factorization': [[[64, 0, 1], 4]], 'hecke_orbit_code': 4504149416739086, 'p': 37}
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id: 614762
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 4504149416739086, 'p': 41}
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id: 614763
{'charpoly_factorization': [[[130321, 0, -22382, 0, 3483, 0, -62, 0, 1], 1]], 'hecke_orbit_code': 4504149416739086, 'p': 43}
-
id: 614764
{'charpoly_factorization': [[[16, 0, -80, 0, 396, 0, -20, 0, 1], 1]], 'hecke_orbit_code': 4504149416739086, 'p': 47}
-
id: 614765
{'charpoly_factorization': [[[900, 0, 84, 0, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 53}
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id: 614766
{'charpoly_factorization': [[[22201, -298, 153, 2, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 59}
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id: 614767
{'charpoly_factorization': [[[4, -8, 18, 4, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 61}
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id: 614768
{'charpoly_factorization': [[[3418801, 0, -203390, 0, 10251, 0, -110, 0, 1], 1]], 'hecke_orbit_code': 4504149416739086, 'p': 67}
-
id: 614769
{'charpoly_factorization': [[[-6, 0, 1], 4]], 'hecke_orbit_code': 4504149416739086, 'p': 71}
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id: 614770
{'charpoly_factorization': [[[5041, 0, 242, 0, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 73}
-
id: 614771
{'charpoly_factorization': [[[2916, 0, 54, 0, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 79}
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id: 614772
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 83}
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id: 614773
{'charpoly_factorization': [[[40, -16, 1], 4]], 'hecke_orbit_code': 4504149416739086, 'p': 89}
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id: 614774
{'charpoly_factorization': [[[28561, 0, -169, 0, 1], 2]], 'hecke_orbit_code': 4504149416739086, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 2, 'label': '270.2.i.b', 'level': 270, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 23244745
{'hecke_orbit_code': 4504149416739086, 'n': 1, 'trace_an': 8}
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id: 23244746
{'hecke_orbit_code': 4504149416739086, 'n': 2, 'trace_an': 0}
-
id: 23244747
{'hecke_orbit_code': 4504149416739086, 'n': 3, 'trace_an': 0}
-
id: 23244748
{'hecke_orbit_code': 4504149416739086, 'n': 4, 'trace_an': 4}
-
id: 23244749
{'hecke_orbit_code': 4504149416739086, 'n': 5, 'trace_an': 4}
-
id: 23244750
{'hecke_orbit_code': 4504149416739086, 'n': 6, 'trace_an': 0}
-
id: 23244751
{'hecke_orbit_code': 4504149416739086, 'n': 7, 'trace_an': 0}
-
id: 23244752
{'hecke_orbit_code': 4504149416739086, 'n': 8, 'trace_an': 0}
-
id: 23244753
{'hecke_orbit_code': 4504149416739086, 'n': 9, 'trace_an': 0}
-
id: 23244754
{'hecke_orbit_code': 4504149416739086, 'n': 10, 'trace_an': -8}
-
id: 23244755
{'hecke_orbit_code': 4504149416739086, 'n': 11, 'trace_an': -4}
-
id: 23244756
{'hecke_orbit_code': 4504149416739086, 'n': 12, 'trace_an': 0}
-
id: 23244757
{'hecke_orbit_code': 4504149416739086, 'n': 13, 'trace_an': 0}
-
id: 23244758
{'hecke_orbit_code': 4504149416739086, 'n': 14, 'trace_an': 8}
-
id: 23244759
{'hecke_orbit_code': 4504149416739086, 'n': 15, 'trace_an': 0}
-
id: 23244760
{'hecke_orbit_code': 4504149416739086, 'n': 16, 'trace_an': -4}
-
id: 23244761
{'hecke_orbit_code': 4504149416739086, 'n': 17, 'trace_an': 0}
-
id: 23244762
{'hecke_orbit_code': 4504149416739086, 'n': 18, 'trace_an': 0}
-
id: 23244763
{'hecke_orbit_code': 4504149416739086, 'n': 19, 'trace_an': 24}
-
id: 23244764
{'hecke_orbit_code': 4504149416739086, 'n': 20, 'trace_an': -4}
-
id: 23244765
{'hecke_orbit_code': 4504149416739086, 'n': 21, 'trace_an': 0}
-
id: 23244766
{'hecke_orbit_code': 4504149416739086, 'n': 22, 'trace_an': 0}
-
id: 23244767
{'hecke_orbit_code': 4504149416739086, 'n': 23, 'trace_an': 0}
-
id: 23244768
{'hecke_orbit_code': 4504149416739086, 'n': 24, 'trace_an': 0}
-
id: 23244769
{'hecke_orbit_code': 4504149416739086, 'n': 25, 'trace_an': 0}
-
id: 23244770
{'hecke_orbit_code': 4504149416739086, 'n': 26, 'trace_an': 0}
-
id: 23244771
{'hecke_orbit_code': 4504149416739086, 'n': 27, 'trace_an': 0}
-
id: 23244772
{'hecke_orbit_code': 4504149416739086, 'n': 28, 'trace_an': 0}
-
id: 23244773
{'hecke_orbit_code': 4504149416739086, 'n': 29, 'trace_an': 24}
-
id: 23244774
{'hecke_orbit_code': 4504149416739086, 'n': 30, 'trace_an': 0}
-
id: 23244775
{'hecke_orbit_code': 4504149416739086, 'n': 31, 'trace_an': -16}
-
id: 23244776
{'hecke_orbit_code': 4504149416739086, 'n': 32, 'trace_an': 0}
-
id: 23244777
{'hecke_orbit_code': 4504149416739086, 'n': 33, 'trace_an': 0}
-
id: 23244778
{'hecke_orbit_code': 4504149416739086, 'n': 34, 'trace_an': 4}
-
id: 23244779
{'hecke_orbit_code': 4504149416739086, 'n': 35, 'trace_an': -40}
-
id: 23244780
{'hecke_orbit_code': 4504149416739086, 'n': 36, 'trace_an': 0}
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id: 23244988
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id: 23244989
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id: 23244990
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id: 23244991
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id: 23244992
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id: 23244993
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id: 23244994
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id: 23244995
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id: 23244996
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id: 23244997
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id: 23244998
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id: 23244999
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id: 23245000
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id: 23245001
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id: 23245002
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