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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, '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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 564, 'field_disc_factorization': [[2, 2], [3, 1], [47, 1]], 'field_poly': [3, -5, -1, 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, -10, 2, 1]], [11, [-3, 3, 5, 1]], [13, [-82, -36, 0, 1]], [17, [-54, -6, 6, 1]], [23, [-3, -9, -1, 1]], [53, [183, -57, -5, 1]]], 'hecke_orbit': 66, 'hecke_orbit_code': 292733975812645222, 'hecke_ring_generator_nbound': 11, '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': True, 'label': '8550.2.a.cn', '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': '8550.2.a.cd', 'nf_label': '3.3.564.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+(-\\beta _{1}+\\beta _{2})q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [3, 0, 0, -2], 'trace_hash': 771245954144603159, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.999', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.851', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '244.473', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [3, 3, 0, 3, 0, 0, -2, 3, 0, 0, -5, 0, 0, -2, 0, 3, -6, 0, 3, 0, 0, -5, 1, 0, 0, 0, 0, -2, -15, 0, -1, 3, 0, -6, 0, 0, 4, 3, 0, 0, -6, 0, -10, -5, 0, 1, 0, 0, 3, 0, 0, 0, 5, 0, 0, -2, 0, -15, -12, 0, 1, -1, 0, 3, 0, 0, -1, -6, 0, 0, -24, 0, -9, 4, 0, 3, -4, 0, 5, 0, 0, -6, 11, 0, 0, -10, 0, -5, -23, 0, -38, 1, 0, 0, 0, 0, -14, 3, 0, 0, -16, 0, -23, 0, 0, 5, -16, 0, 14, 0, 0, -2, 3, 0, 0, -15, 0, -12, 12, 0, -14, 1, 0, -1, 0, 0, -1, 3, 0, 0, -1, 0, -2, -1, 0, -6, -6, 0, 26, 0, 0, -24, 4, 0, 0, -9, 0, 4, -26, 0, -12, 3, 0, -4, 0, 0, -4, 5, 0, 0, -16, 0, -2, -6, 0, 11, -14, 0, 33, 0, 0, -10, 25, 0, 0, -5, 0, -23, -22, 0, -54, -38, 0, 1, 0, 0, 24, 0, 0, 0, -45, 0, -2, -14, 0, 3, -10, 0, -2, 0, 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mf_hecke_cc • Show schema
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'embedding_root_real': 0.571993268316203, 'hecke_orbit': 66, 'hecke_orbit_code': 292733975812645222, 'label': '8550.2.a.cn.1.1', 'level': 8550, 'weight': 2}
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mf_newspaces • Show schema
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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: 49118486
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 292733975812645222, 'source_is_minimal': True, 'source_label': '8550.2.a.cn.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 292733975812645222, 'target_is_minimal': True, 'target_label': '8550.2.a.cn.1.1', 'target_level': 8550, 'twist_class_label': '8550.2.a.cd.1.1', 'twist_class_level': 8550, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49118487
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 292733975812645222, 'source_is_minimal': True, 'source_label': '8550.2.a.cn.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 247697979538940262, 'target_is_minimal': True, 'target_label': '8550.2.a.cd.1.1', 'target_level': 8550, 'twist_class_label': '8550.2.a.cd.1.1', 'twist_class_level': 8550, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49118488
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 292733975812645222, 'source_is_minimal': True, 'source_label': '8550.2.a.cn.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 261208778421051750, 'target_is_minimal': True, 'target_label': '8550.2.a.cg.1.3', 'target_level': 8550, 'twist_class_label': '8550.2.a.cd.1.1', 'twist_class_level': 8550, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49118489
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 292733975812645222, 'source_is_minimal': True, 'source_label': '8550.2.a.cn.1.1', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 315251973949497702, 'target_is_minimal': True, 'target_label': '8550.2.a.cs.1.3', 'target_level': 8550, 'twist_class_label': '8550.2.a.cd.1.1', 'twist_class_level': 8550, '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: 4786675
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 292733975812645222, 'p': 2}
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id: 4786676
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 292733975812645222, 'p': 3}
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id: 4786677
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 292733975812645222, 'p': 5}
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id: 4786678
{'charpoly_factorization': [[[-2, -10, 2, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 7}
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id: 4786679
{'charpoly_factorization': [[[-3, 3, 5, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 11}
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id: 4786680
{'charpoly_factorization': [[[-82, -36, 0, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 13}
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id: 4786681
{'charpoly_factorization': [[[-54, -6, 6, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 17}
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id: 4786682
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 292733975812645222, 'p': 19}
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id: 4786683
{'charpoly_factorization': [[[-3, -9, -1, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 23}
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id: 4786684
{'charpoly_factorization': [[[9, 57, 15, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 29}
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id: 4786685
{'charpoly_factorization': [[[-109, -85, 1, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 31}
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id: 4786686
{'charpoly_factorization': [[[16, -16, -4, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 37}
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id: 4786687
{'charpoly_factorization': [[[-324, -72, 6, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 41}
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id: 4786688
{'charpoly_factorization': [[[18, 28, 10, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 43}
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id: 4786689
{'charpoly_factorization': [[[-36, -24, 0, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 47}
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id: 4786690
{'charpoly_factorization': [[[183, -57, -5, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 53}
-
id: 4786691
{'charpoly_factorization': [[[-2466, -204, 12, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 59}
-
id: 4786692
{'charpoly_factorization': [[[639, -137, -1, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 61}
-
id: 4786693
{'charpoly_factorization': [[[-141, -47, 1, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 67}
-
id: 4786694
{'charpoly_factorization': [[[342, 174, 24, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 71}
-
id: 4786695
{'charpoly_factorization': [[[-541, -81, 9, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 73}
-
id: 4786696
{'charpoly_factorization': [[[41, -13, -5, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 79}
-
id: 4786697
{'charpoly_factorization': [[[39, -27, -11, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 83}
-
id: 4786698
{'charpoly_factorization': [[[-2307, -33, 23, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 89}
-
id: 4786699
{'charpoly_factorization': [[[-974, -94, 14, 1], 1]], 'hecke_orbit_code': 292733975812645222, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 66, 'label': '8550.2.a.cn', '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: 280053000
{'hecke_orbit_code': 292733975812645222, 'n': 1, 'trace_an': 3}
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id: 280053001
{'hecke_orbit_code': 292733975812645222, 'n': 2, 'trace_an': 3}
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id: 280053002
{'hecke_orbit_code': 292733975812645222, 'n': 3, 'trace_an': 0}
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id: 280053003
{'hecke_orbit_code': 292733975812645222, 'n': 4, 'trace_an': 3}
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id: 280053004
{'hecke_orbit_code': 292733975812645222, 'n': 5, 'trace_an': 0}
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id: 280053005
{'hecke_orbit_code': 292733975812645222, 'n': 6, 'trace_an': 0}
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id: 280053006
{'hecke_orbit_code': 292733975812645222, 'n': 7, 'trace_an': -2}
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id: 280053007
{'hecke_orbit_code': 292733975812645222, 'n': 8, 'trace_an': 3}
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id: 280053008
{'hecke_orbit_code': 292733975812645222, 'n': 9, 'trace_an': 0}
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id: 280053009
{'hecke_orbit_code': 292733975812645222, 'n': 10, 'trace_an': 0}
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id: 280053010
{'hecke_orbit_code': 292733975812645222, 'n': 11, 'trace_an': -5}
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id: 280053011
{'hecke_orbit_code': 292733975812645222, 'n': 12, 'trace_an': 0}
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id: 280053012
{'hecke_orbit_code': 292733975812645222, 'n': 13, 'trace_an': 0}
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id: 280053013
{'hecke_orbit_code': 292733975812645222, 'n': 14, 'trace_an': -2}
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id: 280053014
{'hecke_orbit_code': 292733975812645222, 'n': 15, 'trace_an': 0}
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id: 280053015
{'hecke_orbit_code': 292733975812645222, 'n': 16, 'trace_an': 3}
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id: 280053016
{'hecke_orbit_code': 292733975812645222, 'n': 17, 'trace_an': -6}
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id: 280053017
{'hecke_orbit_code': 292733975812645222, 'n': 18, 'trace_an': 0}
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id: 280053018
{'hecke_orbit_code': 292733975812645222, 'n': 19, 'trace_an': 3}
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id: 280053019
{'hecke_orbit_code': 292733975812645222, 'n': 20, 'trace_an': 0}
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id: 280053020
{'hecke_orbit_code': 292733975812645222, 'n': 21, 'trace_an': 0}
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id: 280053021
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