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mf_newforms • Show schema
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{'Nk2': 16848, 'analytic_conductor': 33.6329893313633, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [4212, 3, [2107, 3485, 3889], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 1405, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, -4, 1]], [7, [4, -2, 1]], [17, [-2, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540145690447988, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4212.2.i.l', 'level': 4212, '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': '156.2.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+4\\zeta_{6}q^{5}+(2-2\\zeta_{6})q^{7}+(4-4\\zeta_{6})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4212.2.i', 'trace_display': [0, 0, 4, 2], 'trace_hash': 1453740634847027917, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.424', 'prec': 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mf_hecke_cc • Show schema
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2809, 'dual_conrey_index': 1405, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 2, 'embedding_root_imag': 0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 12, 'hecke_orbit_code': 49540145690447988, 'label': '4212.2.i.l.2809.1', 'level': 4212, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 16848, 'analytic_conductor': 33.6329893313633, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [4212, 3, [2107, 3485, 3889], [3, 1, 3]], 'conrey_index': 1405, 'cusp_dim': 1440, 'dim': 96, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17], 'hecke_orbit_code': 549789372532, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 12], 'label': '4212.2.i', 'level': 4212, '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': 1584, 'mf_new_dim': 96, 'num_forms': 25, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 1512, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 180, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -360, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -204, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 528, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 204, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -720, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 600, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 324, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47428587
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 2809, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540145690447988, 'target_is_minimal': False, 'target_label': '4212.2.i.l.2809.1', 'target_level': 4212, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47428588
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 2809, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416743028, 'target_is_minimal': False, 'target_label': '4212.2.i.b.2809.1', 'target_level': 4212, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47428589
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666388, 'target_is_minimal': False, 'target_label': '468.2.a.d.1.1', 'target_level': 468, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47428590
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1405, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49540145690447988, 'target_is_minimal': False, 'target_label': '4212.2.i.l.1405.1', 'target_level': 4212, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47428591
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1405, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416743028, 'target_is_minimal': False, 'target_label': '4212.2.i.b.1405.1', 'target_level': 4212, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47428592
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554588, 'target_is_minimal': True, 'target_label': '156.2.a.a.1.1', 'target_level': 156, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47428593
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543037040, 'target_is_minimal': False, 'target_label': '624.2.a.e.1.1', 'target_level': 624, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47428594
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326225232, 'target_is_minimal': False, 'target_label': '1872.2.a.s.1.1', 'target_level': 1872, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47428595
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1249, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697265980, 'target_is_minimal': False, 'target_label': '3900.2.h.b.1249.2', 'target_level': 3900, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47428596
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562004284, 'target_is_minimal': False, 'target_label': '3900.2.a.m.1.1', 'target_level': 3900, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 47428597
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1249, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697265980, 'target_is_minimal': False, 'target_label': '3900.2.h.b.1249.1', 'target_level': 3900, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47428598
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307267036, 'target_is_minimal': False, 'target_label': '7644.2.a.k.1.1', 'target_level': 7644, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 47428599
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915673408, 'target_is_minimal': False, 'target_label': '7488.2.a.d.1.1', 'target_level': 7488, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '72.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47428600
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288302912, 'target_is_minimal': False, 'target_label': '7488.2.a.c.1.1', 'target_level': 7488, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '72.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 47428601
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816743872, 'target_is_minimal': False, 'target_label': '2496.2.a.o.1.1', 'target_level': 2496, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '72.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47428602
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100789599930816, 'target_is_minimal': False, 'target_label': '2496.2.a.bc.1.1', 'target_level': 2496, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '72.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 47428603
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526296936777708, 'target_is_minimal': False, 'target_label': '2028.2.q.h.361.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 47428604
{'conductor': 117, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298852332, 'target_is_minimal': False, 'target_label': '2028.2.i.e.529.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 47428605
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288297452, 'target_is_minimal': False, 'target_label': '2028.2.a.c.1.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 47428606
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753033196, 'target_is_minimal': False, 'target_label': '2028.2.b.a.337.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 47428607
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660931012, 'target_is_minimal': False, 'target_label': '6084.2.a.b.1.1', 'target_level': 6084, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 47428608
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 2005, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553593324, 'target_is_minimal': False, 'target_label': '2028.2.i.g.2005.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 47428609
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 4393, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532465399371716, 'target_is_minimal': False, 'target_label': '6084.2.b.j.4393.2', 'target_level': 6084, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 47428610
{'conductor': 117, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 2005, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014948298852332, 'target_is_minimal': False, 'target_label': '2028.2.i.e.2005.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 47428611
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 68753033196, 'target_is_minimal': False, 'target_label': '2028.2.b.a.337.2', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.70', 'twisting_conrey_index': 70, 'weight': 2}
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id: 47428612
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 4393, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532465399371716, 'target_is_minimal': False, 'target_label': '6084.2.b.j.4393.1', 'target_level': 6084, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47428613
{'conductor': 117, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 529, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022147553593324, 'target_is_minimal': False, 'target_label': '2028.2.i.g.529.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.88', 'twisting_conrey_index': 88, 'weight': 2}
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id: 47428614
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526296936777708, 'target_is_minimal': False, 'target_label': '2028.2.q.h.361.2', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.97', 'twisting_conrey_index': 97, 'weight': 2}
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id: 47428615
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1837, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31526296936777708, 'target_is_minimal': False, 'target_label': '2028.2.q.h.1837.2', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.106', 'twisting_conrey_index': 106, 'weight': 2}
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id: 47428616
{'conductor': 117, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1837, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526296936777708, 'target_is_minimal': False, 'target_label': '2028.2.q.h.1837.1', 'target_level': 2028, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '117.115', 'twisting_conrey_index': 115, 'weight': 2}
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id: 47428617
{'conductor': 468, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 2809, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49540145690447988, 'source_is_minimal': False, 'source_label': '4212.2.i.l.2809.1', 'source_level': 4212, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 153122387364159408, 'target_is_minimal': False, 'target_label': '8112.2.a.bi.1.1', 'target_level': 8112, 'twist_class_label': '156.2.a.a.1.1', 'twist_class_level': 156, 'twisting_char_label': '468.259', 'twisting_conrey_index': 259, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3529200
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 2}
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id: 3529201
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 3}
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id: 3529202
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 5}
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id: 3529203
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 7}
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id: 3529204
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 11}
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id: 3529205
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 13}
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id: 3529206
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 17}
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id: 3529207
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 19}
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id: 3529208
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 23}
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id: 3529209
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 29}
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id: 3529210
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 31}
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id: 3529211
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 37}
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id: 3529212
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 41}
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id: 3529213
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 43}
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id: 3529214
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 47}
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id: 3529215
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 53}
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id: 3529216
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 59}
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id: 3529217
{'charpoly_factorization': [[[196, -14, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 61}
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id: 3529218
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 67}
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id: 3529219
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 71}
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id: 3529220
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 73}
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id: 3529221
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 79}
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id: 3529222
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 83}
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id: 3529223
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 49540145690447988, 'p': 89}
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id: 3529224
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 49540145690447988, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 12, 'label': '4212.2.i.l', 'level': 4212, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 56950639
{'hecke_orbit_code': 49540145690447988, 'n': 1, 'trace_an': 2}
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id: 56950640
{'hecke_orbit_code': 49540145690447988, 'n': 2, 'trace_an': 0}
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id: 56950641
{'hecke_orbit_code': 49540145690447988, 'n': 3, 'trace_an': 0}
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id: 56950642
{'hecke_orbit_code': 49540145690447988, 'n': 4, 'trace_an': 0}
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id: 56950643
{'hecke_orbit_code': 49540145690447988, 'n': 5, 'trace_an': 4}
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id: 56950644
{'hecke_orbit_code': 49540145690447988, 'n': 6, 'trace_an': 0}
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id: 56950645
{'hecke_orbit_code': 49540145690447988, 'n': 7, 'trace_an': 2}
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id: 56950646
{'hecke_orbit_code': 49540145690447988, 'n': 8, 'trace_an': 0}
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id: 56950647
{'hecke_orbit_code': 49540145690447988, 'n': 9, 'trace_an': 0}
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id: 56950648
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