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mf_newforms • Show schema
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{'Nk2': 312, 'analytic_conductor': 0.622833135765987, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [78, 6, [53, 67], [6, 1]], 'cm_discs': [], 'conrey_index': 43, 'conrey_indexes': [43, 49], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1, 0, 14, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 549789368398, 'hecke_ring_generator_nbound': 2, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '78.2.i.a', 'level': 78, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '78.2.i.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{12}q^{2}+(-1+\\zeta_{12}^{2})q^{3}+\\zeta_{12}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '78.2.i', 'trace_display': [0, -2, 0, 6], 'trace_hash': 161812522638456157, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.832', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1597.511', 'prec': 27}], 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mf_hecke_cc • Show schema
Hide schema
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'embedding_root_real': -0.8660254037844386, 'hecke_orbit': 1, 'hecke_orbit_code': 549789368398, 'label': '78.2.i.a.49.1', 'level': 78, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 312, 'analytic_conductor': 0.622833135765987, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': 1, 'char_values': [78, 6, [53, 67], [6, 1]], 'conrey_index': 43, 'cusp_dim': 20, 'dim': 8, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368398, 'hecke_orbit_dims': [4, 4], 'label': '78.2.i', 'level': 78, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 36, 'mf_new_dim': 8, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 28, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [8, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, -4, -16, -12, -4, -8, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 8, 4, 0, 0, 12, 0, 16, 4, -12, 0, 4, 8, 48, -4, 0, 0, 0, 0, 0, 0, 4, 24, 16, -8, 0, 0, 0, -8, 0, -12, -48, 0, -12, -16, 0, -8, -8, 24, -48, 8, 4, 0, 24, 0, 0, -8, 8, 0, -48, -16, -32, 0, -4, -4, 0, -12, 36, 0, -4, 0, -24, -8, 32, -16, -24, 0, 24, 0, 0, 24, 0, 0, 8, -24, 64, 16, -8, 12, -16, 0, 0, 24, 12, 0, 8, 12, 48, 16, 8, 32, 24, -4, 4, 0, -24, 0, 0, 8, 0, 0, 8, -12, 64, 12, 0, -16, 0, 12, -24, 0, 0, -16, 12, 0, -72, 8, 12, 16, -16, 0, -24, -24, 0, 0, -8, -48, -32, -4, -24, -48, 12, 4, 0, 0, 0, 0, -12, 16, 0, -8, 12, -80, 0, 0, 0, 0, -48, 0, 0, 24, 0, 0, -72, 48, -56, 0, -16, 8, 0, 24, 12, 0, 0, 0, 12, 48, 40, 8, 24, 0, -32, 0, 36, -60, 0, 8, -20, 24, 16, -4, 48, 36, 16, 0, 0, 0, 72, 0, -16, -16, 48, 0, 24, 40, 48, 8, 0, 0, 0, -12, 0, -32, -24, -12, 48, -16, 0, -48, 8, 32, 0, 12, -36, 0, 0, 12, -24, -16, -48, -32, -12, -12, 32, 0, 96, 48, 0, -4, 72, -12, -32, 8, -16, 48, -24, 12, 0, -24, 0, 0, 32, 4, -48, 16, -4, 56, -48, -4, 12, 0, 0, 0, 0, 12, -16, 24, -24, -48, 80, 0, -24, -16, 0, -36, -48, 0, 16, 8, -12, -56, -48, 16, -96, 8, -28, 0, -120, -12, 0, -24, -36, 48, -16, -20, -16, -72, 16, -16, 0, -12, 48, 0, -4, -16, -96, -8, 64, -64, 24, 4, -24, 0, 0, 48, 0, 0, 40, -12, 152, 48, -64, 36, 0, 0, 0, -48, -12, 0, -48, 4, 48, 32, 4, 0, 0, -16, 0, 0, 84, 48, 0, -4, -28, 72, 0, 16, 32, 36, 64, -8, 0, 36, -48, 0, 28, 0, -12, 0, 24, 8, 96, -24, 16, 0, 48, 0, 0, -16, 0, 0, 48, -24, -128, 24, -8, -8, 0, 0, 0, 0, 24, 0, -24, -40, 80, 16, 0, -32, 72, 0, 36, 48, 0, 32, 32, 0, -64, 8, 32, 0, 16, -4, 0, 0, -24, 0, 40, 12, 48, -32, -24, -32, -24, 0, -28, 0, -48, -48, 0, 16, -16, 24, -8, -4, 128, 12, 24, -16, 0, 0, -72, 0, -48, -8, 12, -32, -96, 24, -60, 8, -8, 0, -96, -24, 0, 8, -8, -48, -96, 4, 32, 0, 20, 16, 0, -24, -96, 0, 0, 16, -48, -8, -116, -32, 48, -4, -24, 0, 0, 0, 0, -36, -16, -24, -40, 24, 0, 0, -24, 4, 0, 72, 24, 0, -24, -8, -36, 48, 64, 0, 24, 4, -32, 0, 12, 12, 0, 4, -48, -48, 48, -36, -48, 12, -48, 32, 0, -48, 144, 0, -36, -24, 48, 0, 8, 0, -48, 16, 12, 0, 192, -12, 0, 16, 20, 12, 64, 12, 0, -24, -12, 0, 0, 36, 96, 0, -16, 0, 120, 32, 112, -32, -60, 52, 32, 0, -36, -48, 0, 0, -32, 12, 96, -24, 0, -48, -80, 4, 0, 48, 24, 0, 40, 0, 0, 32, -8, 56, 0, 16, 48, 0, -72, 12, 0, -12, 112, -24, 8, 32, 0, -24, -4, 8, 0, 0, 72, 0, 96, 0, 36, 104, 0, -16, 84, 32, -44, 0, -120, 12, 0, -16, 4, -48, -96, -8, 24, -24, 0, -12, 0, 0, 48, 0, -40, 36, -48, 24, -76, 48, -24, -4, -72, 0, -144, -24, 0, 48, -32, 0, -192, -40, -64, 0, 64, 8, 0, -48, 36, 0, -16, 12, 36, -32, 36, 32, 120, -8, -16, 0, 0, -144, 0, -4, 44, -48, -16, 36, -192, -48, -48, -40, 0, 48, -144, 0, -44, -16, -96, 0, 24, -8, 48, 0, 24, 0, 144, 12, 0, 16, 48, -48, -32, 20, 96, 0, -12, 28, 0, -48, -36, 0, 16, -24, 96, 8, -48, 0, -84, -16, 32, 0, 48, -72, 0, -36, -40, 0, 96, 48, 8, 36, 16, -28, 0, 24, -36, 0, -24, -4, 0, -32, -60, 0, 0, -8, 92, 0, -48, 48, 0, -12, -32, 24, -16, -32, 64, 12, -24, -16, 0, 48, -24, 0, -64, 0, -36, -32, 32, 0, -48, -24, 0, 0, -96, 48, 0, 24, -20, 108, 0, 32, 96, 120, -4, 4, 0, 24, 48, 0, -12, -48, 120, 0, 8, 64, 24, 32, -56, 0, 0, -24, 0, 12, -96, 36, 160, -48, 80, -60, 160, 4, 0, 0, 48, 0, 64, -8, -48, -112, -16, -40, 144, 8, -64, 0, 72, 192, 0, 8, 28, -24, 56, 4, -192, -48, 48, 24, 0, -48, -48, 0, 72, 16, 48, 32, 120, 0, -144, 0, 84, 0, 192, 12, 0, 16, 24, 0, 32, -12, -160, 72, -28, -64, 0, 0, 0, 0, 16, 16, -48, 32, 80, -32, 0, -48, 0, 0, 60, 24, 0, 0, 48, -24, -128, -48, 160, 0, -144, 20, 0, -24, 0, 0, 24, 4, -96, 16, -96, -144, -48, 0, 36, 0, -24, -12, 0, -28, 32, 0, -16, 32, 0, -12, 0, 32, 0, 0, -96, 0, -32, 32, -60, -72, -48, -48, -144, -24, -32, 0, -48, 24, 0, 24, 20, 0, -48, -8, 56, 120, -48, 0, 0, 36, -144, 0, 4, 0, -48, 16, -164, 96, 12, -32, -48, 0, -48, 24, 0, -96, -88, 12, -8, -72, 32, -36, 64, -16, 0, -72, -12, 0, -48, 0, -96, -48, 32, 24, 24, 8, 0, 0, 48, 48, 0, -8, -88, 0, 0, -48, -80, -24, 0, -16, 0, -96, 48, 0, -76, 64, -12, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 6320419
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368398, 'target_is_minimal': True, 'target_label': '78.2.i.a.49.1', 'target_level': 78, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 6320420
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202539754, 'target_is_minimal': False, 'target_label': '234.2.l.c.127.2', 'target_level': 234, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6320421
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18017628358443632, 'target_is_minimal': False, 'target_label': '624.2.bv.e.49.1', 'target_level': 624, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 6320422
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505248928368542, 'target_is_minimal': False, 'target_label': '1950.2.y.b.49.1', 'target_level': 1950, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6320423
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27023247065221022, 'target_is_minimal': False, 'target_label': '1950.2.y.g.49.2', 'target_level': 1950, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 6320424
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 751, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512723061016478, 'target_is_minimal': False, 'target_label': '1950.2.bc.d.751.2', 'target_level': 1950, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 6320425
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1297, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31528633398986576, 'target_is_minimal': False, 'target_label': '1872.2.by.h.1297.2', 'target_level': 1872, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 6320426
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052519414, 'target_is_minimal': False, 'target_label': '1014.2.a.i.1.1', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 6320427
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467262514166, 'target_is_minimal': False, 'target_label': '1014.2.b.e.337.1', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 6320428
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 43, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368398, 'target_is_minimal': True, 'target_label': '78.2.i.a.43.1', 'target_level': 78, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 6320429
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930426358, 'target_is_minimal': False, 'target_label': '1014.2.e.i.991.1', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 6320430
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 529, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930426358, 'target_is_minimal': False, 'target_label': '1014.2.e.i.529.1', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 6320431
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 529, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021872675685366, 'target_is_minimal': False, 'target_label': '1014.2.e.g.529.2', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 6320432
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 991, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021872675685366, 'target_is_minimal': False, 'target_label': '1014.2.e.g.991.2', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 6320433
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 823, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789369334, 'target_is_minimal': False, 'target_label': '1014.2.i.a.823.2', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 6320434
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 337, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014467262514166, 'target_is_minimal': False, 'target_label': '1014.2.b.e.337.4', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 6320435
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307260406, 'target_is_minimal': False, 'target_label': '1014.2.a.k.1.2', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 6320436
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789369334, 'target_is_minimal': False, 'target_label': '1014.2.i.a.361.2', 'target_level': 1014, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 6320437
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090449378, 'target_is_minimal': False, 'target_label': '3042.2.a.y.1.2', 'target_level': 3042, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '39.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6320438
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444114914, 'target_is_minimal': False, 'target_label': '3042.2.a.p.1.1', 'target_level': 3042, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 6320439
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202539754, 'target_is_minimal': False, 'target_label': '234.2.l.c.199.2', 'target_level': 234, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 6320440
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1351, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028865771998178, 'target_is_minimal': False, 'target_label': '3042.2.b.i.1351.1', 'target_level': 3042, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '39.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 6320441
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1351, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36028865771998178, 'target_is_minimal': False, 'target_label': '3042.2.b.i.1351.4', 'target_level': 3042, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 6320442
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755752880, 'target_is_minimal': False, 'target_label': '8112.2.a.bp.1.2', 'target_level': 8112, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '52.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 6320443
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991529904, 'target_is_minimal': False, 'target_label': '8112.2.a.bj.1.1', 'target_level': 8112, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '52.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 6320444
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18017628358443632, 'target_is_minimal': False, 'target_label': '624.2.bv.e.433.2', 'target_level': 624, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '52.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 6320445
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 901, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512723061016478, 'target_is_minimal': False, 'target_label': '1950.2.bc.d.901.2', 'target_level': 1950, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '65.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 6320446
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27023247065221022, 'target_is_minimal': False, 'target_label': '1950.2.y.g.199.2', 'target_level': 1950, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '65.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 6320447
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505248928368542, 'target_is_minimal': False, 'target_label': '1950.2.y.b.199.1', 'target_level': 1950, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '65.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 6320448
{'conductor': 156, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 49, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368398, 'source_is_minimal': True, 'source_label': '78.2.i.a.49.1', 'source_level': 78, 'target_conrey_index': 433, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31528633398986576, 'target_is_minimal': False, 'target_label': '1872.2.by.h.433.1', 'target_level': 1872, 'twist_class_label': '78.2.i.a.43.1', 'twist_class_level': 78, 'twisting_char_label': '156.95', 'twisting_conrey_index': 95, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 242575
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 2}
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id: 242576
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 549789368398, 'p': 3}
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id: 242577
{'charpoly_factorization': [[[1, 0, 14, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 5}
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id: 242578
{'charpoly_factorization': [[[4, -12, 14, -6, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 7}
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id: 242579
{'charpoly_factorization': [[[36, -36, 6, 6, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 11}
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id: 242580
{'charpoly_factorization': [[[169, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 13}
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id: 242581
{'charpoly_factorization': [[[169, 104, 51, 8, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 17}
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id: 242582
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 19}
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id: 242583
{'charpoly_factorization': [[[676, -52, 30, 2, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 23}
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id: 242584
{'charpoly_factorization': [[[121, 22, 15, -2, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 29}
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id: 242585
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 31}
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id: 242586
{'charpoly_factorization': [[[1369, -444, 11, 12, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 37}
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id: 242587
{'charpoly_factorization': [[[11449, -3852, 539, -36, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 41}
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id: 242588
{'charpoly_factorization': [[[5476, -148, 78, 2, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 43}
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id: 242589
{'charpoly_factorization': [[[324, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 47}
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id: 242590
{'charpoly_factorization': [[[-3, 6, 1], 2]], 'hecke_orbit_code': 549789368398, 'p': 53}
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id: 242591
{'charpoly_factorization': [[[4096, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 59}
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id: 242592
{'charpoly_factorization': [[[121, 88, 75, -8, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 61}
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id: 242593
{'charpoly_factorization': [[[21316, 6132, 734, 42, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 67}
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id: 242594
{'charpoly_factorization': [[[36, 36, 6, -6, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 71}
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id: 242595
{'charpoly_factorization': [[[3721, 0, 134, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 73}
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id: 242596
{'charpoly_factorization': [[[24, 12, 1], 2]], 'hecke_orbit_code': 549789368398, 'p': 79}
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id: 242597
{'charpoly_factorization': [[[4, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 83}
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id: 242598
{'charpoly_factorization': [[[576, -288, 24, 12, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 89}
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id: 242599
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 549789368398, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '78.2.i.a', 'level': 78, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37861000
{'hecke_orbit_code': 549789368398, 'n': 1, 'trace_an': 4}
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id: 37861001
{'hecke_orbit_code': 549789368398, 'n': 2, 'trace_an': 0}
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id: 37861002
{'hecke_orbit_code': 549789368398, 'n': 3, 'trace_an': -2}
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id: 37861003
{'hecke_orbit_code': 549789368398, 'n': 4, 'trace_an': 2}
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id: 37861004
{'hecke_orbit_code': 549789368398, 'n': 5, 'trace_an': 0}
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id: 37861005
{'hecke_orbit_code': 549789368398, 'n': 6, 'trace_an': 0}
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id: 37861006
{'hecke_orbit_code': 549789368398, 'n': 7, 'trace_an': 6}
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id: 37861007
{'hecke_orbit_code': 549789368398, 'n': 8, 'trace_an': 0}
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id: 37861008
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