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{'Nk2': 13680, 'analytic_conductor': 27.30883749127789, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [19, 1]], 'atkin_lehner_string': '--++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3420, 1, [1711, 1901, 2737, 3061], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-4, 4, 1]], [11, [-2, 1]], [13, [-14, 4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797780828, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3420.2.a.g', 'level': 3420, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '380.2.a.c', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}+(-2+2\\beta )q^{7}+2q^{11}+(-2+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3420.2.a', 'trace_display': [0, 0, -2, -4], 'trace_hash': 65665819410560738, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.926', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.531', 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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0, 0, -88, 0, -32, 0, 0, 0, 520, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 45547848
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797780828, 'target_is_minimal': False, 'target_label': '3420.2.a.g.1.2', 'target_level': 3420, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45547849
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295804, 'target_is_minimal': True, 'target_label': '380.2.a.c.1.1', 'target_level': 380, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45547850
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816742896, 'target_is_minimal': False, 'target_label': '1520.2.a.o.1.2', 'target_level': 1520, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45547851
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1749, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510936354621292, 'target_is_minimal': False, 'target_label': '1900.2.c.d.1749.4', 'target_level': 1900, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45547852
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1749, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354621292, 'target_is_minimal': False, 'target_label': '1900.2.c.d.1749.1', 'target_level': 1900, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45547853
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543038316, 'target_is_minimal': False, 'target_label': '1900.2.a.e.1.2', 'target_level': 1900, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45547854
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 166633186246268864, 'target_is_minimal': False, 'target_label': '6080.2.a.bl.1.2', 'target_level': 6080, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45547855
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090452416, 'target_is_minimal': False, 'target_label': '6080.2.a.y.1.1', 'target_level': 6080, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45547856
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562007604, 'target_is_minimal': False, 'target_label': '7220.2.a.m.1.2', 'target_level': 7220, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 45547857
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021597797780828, 'source_is_minimal': False, 'source_label': '3420.2.a.g.1.2', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580971952, 'target_is_minimal': False, 'target_label': '7600.2.a.u.1.1', 'target_level': 7600, 'twist_class_label': '380.2.a.c.1.1', 'twist_class_level': 380, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3044625
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797780828, 'p': 2}
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id: 3044626
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797780828, 'p': 3}
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id: 3044627
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27021597797780828, 'p': 5}
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id: 3044628
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 7}
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id: 3044629
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27021597797780828, 'p': 11}
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id: 3044630
{'charpoly_factorization': [[[-14, 4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 13}
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id: 3044631
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 17}
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id: 3044632
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27021597797780828, 'p': 19}
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id: 3044633
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021597797780828, 'p': 23}
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id: 3044634
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 29}
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id: 3044635
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 31}
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id: 3044636
{'charpoly_factorization': [[[18, 12, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 37}
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id: 3044637
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 41}
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id: 3044638
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 43}
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id: 3044639
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 47}
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id: 3044640
{'charpoly_factorization': [[[-46, 4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 53}
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id: 3044641
{'charpoly_factorization': [[[32, 16, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 59}
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id: 3044642
{'charpoly_factorization': [[[32, 16, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 61}
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id: 3044643
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 67}
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id: 3044644
{'charpoly_factorization': [[[56, 16, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 71}
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id: 3044645
{'charpoly_factorization': [[[-36, -12, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 73}
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id: 3044646
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 79}
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id: 3044647
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 83}
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id: 3044648
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 89}
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id: 3044649
{'charpoly_factorization': [[[18, 12, 1], 1]], 'hecke_orbit_code': 27021597797780828, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '3420.2.a.g', 'level': 3420, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 176270000
{'hecke_orbit_code': 27021597797780828, 'n': 1, 'trace_an': 2}
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id: 176270001
{'hecke_orbit_code': 27021597797780828, 'n': 2, 'trace_an': 0}
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id: 176270002
{'hecke_orbit_code': 27021597797780828, 'n': 3, 'trace_an': 0}
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id: 176270003
{'hecke_orbit_code': 27021597797780828, 'n': 4, 'trace_an': 0}
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id: 176270004
{'hecke_orbit_code': 27021597797780828, 'n': 5, 'trace_an': -2}
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id: 176270005
{'hecke_orbit_code': 27021597797780828, 'n': 6, 'trace_an': 0}
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id: 176270006
{'hecke_orbit_code': 27021597797780828, 'n': 7, 'trace_an': -4}
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id: 176270007
{'hecke_orbit_code': 27021597797780828, 'n': 8, 'trace_an': 0}
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id: 176270008
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id: 176270998
{'hecke_orbit_code': 27021597797780828, 'n': 999, 'trace_an': 0}
-
id: 176270999
{'hecke_orbit_code': 27021597797780828, 'n': 1000, 'trace_an': 0}