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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'analytic_rank': 0, '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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-2, 1]], [11, [-2, 1]], [13, [-4, 1]], [17, [-6, 1]], [23, [-8, 1]], [53, [-10, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444120422, 'hecke_ring_generator_nbound': 1, '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': '8550.2.a.p', 'level': 8550, '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': '1710.2.a.h', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+2q^{7}-q^{8}+2q^{11}+4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/8550/p'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [-1, 0, 0, 2], 'trace_hash': 1213139864173914608, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_cc • Show schema
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-0.1777990355753844], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444120422, 'label': '8550.2.a.p.1.1', 'level': 8550, 'weight': 2}
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 9, 4], [[[2, -1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, -1], [5, -1], [19, 1]], 10, 6], [[[2, 1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [19, -1]], 12, 5], [[[2, 1], [3, -1], [5, 1], [19, -1]], 8, 7], [[[2, -1], [3, -1], [5, 1], [19, -1]], 13, 10], [[[2, 1], [3, -1], [5, 1], [19, 1]], 12, 8], [[[2, -1], [3, -1], [5, -1], [19, 1]], 13, 7], [[[2, -1], [3, -1], [5, 1], [19, 1]], 8, 7]], 'ALdims': [7, 6, 7, 9, 12, 8, 10, 12, 7, 6, 7, 9, 8, 13, 13, 9], 'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1753, 'dim': 143, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 53], 'hecke_orbit_code': 33562982, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '8550.2.a', 'level': 8550, '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, 'mf_dim': 1848, 'mf_new_dim': 143, 'num_forms': 76, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 3600, 'trace_bound': 23, 'trace_display': [1, 0, 0, -2], 'traces': [143, 1, 0, 143, 0, 0, -2, 1, 0, 0, -12, 0, -2, -4, 0, 143, 4, 0, 1, 0, 0, -4, 6, 0, 0, -12, 0, -2, -18, 0, 12, 1, 0, -22, 0, 0, 34, 3, 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-482, 0, 0, 184, 0, -92, -800, 0, 198, 416, 0, -76, 0, 0, -548, 20, 0, 0, 454, 0, 64, -674, 0, -92, -298, 0, -298, 0, 0, 202, -640, 0, 0, 508, 0, 64, 416, 0, -28, 48, 0, -172, 0, 0, -642, -252, 0, 0, -574, 0, 574, -4, 0, 488, 256, 0, -636, 0, 0, 50, -46, 0, 0, -92, 0, 164, 84, 0, -120], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47932200
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120422, 'source_is_minimal': False, 'source_label': '8550.2.a.p.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444120422, 'target_is_minimal': False, 'target_label': '8550.2.a.p.1.1', 'target_level': 8550, 'twist_class_label': '1710.2.a.h.1.1', 'twist_class_level': 1710, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47932201
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120422, 'source_is_minimal': False, 'source_label': '8550.2.a.p.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109418854, 'target_is_minimal': False, 'target_label': '8550.2.a.bg.1.1', 'target_level': 8550, 'twist_class_label': '1710.2.a.h.1.1', 'twist_class_level': 1710, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47932202
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120422, 'source_is_minimal': False, 'source_label': '8550.2.a.p.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562002094, 'target_is_minimal': True, 'target_label': '1710.2.a.m.1.1', 'target_level': 1710, 'twist_class_label': '1710.2.a.h.1.1', 'twist_class_level': 1710, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 47932203
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444120422, 'source_is_minimal': False, 'source_label': '8550.2.a.p.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425149614, 'target_is_minimal': True, 'target_label': '1710.2.a.h.1.1', 'target_level': 1710, 'twist_class_label': '1710.2.a.h.1.1', 'twist_class_level': 1710, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4785675
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 2}
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id: 4785676
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 3}
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id: 4785677
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 5}
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id: 4785678
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 7}
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id: 4785679
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 11}
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id: 4785680
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 13}
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id: 4785681
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 17}
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id: 4785682
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 19}
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id: 4785683
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 23}
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id: 4785684
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 29}
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id: 4785685
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 31}
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id: 4785686
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 37}
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id: 4785687
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 41}
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id: 4785688
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 43}
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id: 4785689
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 47}
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id: 4785690
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 53}
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id: 4785691
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 59}
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id: 4785692
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 61}
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id: 4785693
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 67}
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id: 4785694
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 71}
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id: 4785695
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 73}
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id: 4785696
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 79}
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id: 4785697
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 83}
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id: 4785698
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 89}
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id: 4785699
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 67553994444120422, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '8550.2.a.p', 'level': 8550, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 236080000
{'hecke_orbit_code': 67553994444120422, 'n': 1, 'trace_an': 1}
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id: 236080001
{'hecke_orbit_code': 67553994444120422, 'n': 2, 'trace_an': -1}
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