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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [23, 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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 2597, 'field_disc_factorization': [[7, 2], [53, 1]], 'field_poly': [8, -9, -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': [[3, [-8, -9, 1, 1]], [7, [-1, -8, 2, 1]], [11, [14, 7, -7, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791463080440, 'hecke_ring_generator_nbound': 3, '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': '4600.2.a.x', 'level': 4600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '920.2.a.h', 'nf_label': '3.3.2597.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(-1+\\beta _{1})q^{7}+(3+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.a', 'trace_display': [0, -1, 0, -2], 'trace_hash': 496830396235095296, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.968', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '23.380', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '279.086', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [3, 0, -1, 0, 0, 0, -2, 0, 10, 0, 7, 0, 1, 0, 0, 0, -10, 0, -13, 0, -18, 0, -3, 0, 0, 0, 2, 0, 13, 0, -8, 0, -21, 0, 0, 0, -5, 0, 2, 0, 8, 0, -24, 0, 0, 0, -2, 0, -1, 0, 1, 0, -1, 0, 0, 0, 2, 0, -17, 0, 13, 0, -9, 0, 0, 0, -5, 0, 1, 0, -22, 0, -12, 0, 0, 0, 14, 0, -4, 0, 23, 0, 15, 0, 0, 0, 12, 0, -8, 0, -3, 0, -16, 0, 0, 0, 3, 0, 21, 0, 25, 0, -13, 0, 0, 0, -3, 0, 23, 0, -52, 0, 3, 0, 0, 0, 50, 0, 9, 0, 2, 0, -5, 0, 0, 0, -2, 0, 8, 0, -24, 0, 11, 0, 0, 0, 7, 0, -11, 0, -4, 0, 0, 0, 0, 0, 40, 0, -37, 0, -17, 0, -80, 0, 0, 0, 7, 0, 54, 0, 2, 0, -23, 0, 0, 0, 24, 0, 8, 0, -90, 0, 3, 0, 0, 0, 22, 0, -10, 0, 9, 0, 19, 0, 0, 0, -21, 0, -55, 0, 2, 0, -10, 0, 0, 0, -9, 0, -42, 0, -52, 0, -25, 0, 0, 0, -10, 0, -28, 0, 9, 0, 47, 0, 0, 0, 24, 0, -66, 0, -50, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 15, 5], [[[2, 1], [5, 1], [23, -1]], 14, 5], [[[2, 1], [5, 1], [23, 1]], 13, 7], [[[2, -1], [5, -1], [23, 1]], 13, 3], [[[2, -1], [5, 1], [23, -1]], 11, 5], [[[2, 1], [5, -1], [23, -1]], 12, 2], [[[2, 1], [5, -1], [23, 1]], 14, 4], [[[2, -1], [5, 1], [23, 1]], 12, 6]], 'ALdims': [13, 14, 14, 12, 12, 11, 13, 15], 'Nk2': 18400, 'analytic_conductor': 36.731184929788974, '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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 104, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33559032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '4600.2.a', 'level': 4600, 'level_is_prime': False, 'level_is_prime_power': False, 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mf_twists_cc • Show schema
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id: 48486821
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463080440, 'target_is_minimal': False, 'target_label': '4600.2.a.x.1.3', 'target_level': 4600, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48486822
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 252201579166311408, 'target_is_minimal': False, 'target_label': '9200.2.a.ce.1.1', 'target_level': 9200, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48486823
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554269322023416, 'target_is_minimal': False, 'target_label': '4600.2.e.p.4049.2', 'target_level': 4600, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48486824
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 67554269322023416, 'target_is_minimal': False, 'target_label': '4600.2.e.p.4049.5', 'target_level': 4600, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48486825
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148824, 'target_is_minimal': True, 'target_label': '920.2.a.h.1.1', 'target_level': 920, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48486826
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 157625986991530072, 'target_is_minimal': False, 'target_label': '8280.2.a.bj.1.3', 'target_level': 8280, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48486827
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326225200, 'target_is_minimal': False, 'target_label': '1840.2.a.s.1.3', 'target_level': 1840, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48486828
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 243194379911568576, 'target_is_minimal': False, 'target_label': '7360.2.a.cc.1.1', 'target_level': 7360, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48486829
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 103582791463080440, 'source_is_minimal': False, 'source_label': '4600.2.a.x.1.3', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 225179981402086592, 'target_is_minimal': False, 'target_label': '7360.2.a.by.1.3', 'target_level': 7360, 'twist_class_label': '920.2.a.h.1.1', 'twist_class_level': 920, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3646800
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 103582791463080440, 'p': 2}
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id: 3646801
{'charpoly_factorization': [[[-8, -9, 1, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 3}
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id: 3646802
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 103582791463080440, 'p': 5}
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id: 3646803
{'charpoly_factorization': [[[-1, -8, 2, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 7}
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id: 3646804
{'charpoly_factorization': [[[14, 7, -7, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 11}
-
id: 3646805
{'charpoly_factorization': [[[50, -23, -1, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 13}
-
id: 3646806
{'charpoly_factorization': [[[-83, 10, 10, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 17}
-
id: 3646807
{'charpoly_factorization': [[[-62, 33, 13, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 19}
-
id: 3646808
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 103582791463080440, 'p': 23}
-
id: 3646809
{'charpoly_factorization': [[[76, 26, -13, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 29}
-
id: 3646810
{'charpoly_factorization': [[[-1, 12, 8, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 31}
-
id: 3646811
{'charpoly_factorization': [[[-496, -92, 5, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 37}
-
id: 3646812
{'charpoly_factorization': [[[1, -2, -8, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 41}
-
id: 3646813
{'charpoly_factorization': [[[8, 1], 3]], 'hecke_orbit_code': 103582791463080440, 'p': 43}
-
id: 3646814
{'charpoly_factorization': [[[-400, -92, 2, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 47}
-
id: 3646815
{'charpoly_factorization': [[[300, -100, 1, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 53}
-
id: 3646816
{'charpoly_factorization': [[[36, 66, 17, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 59}
-
id: 3646817
{'charpoly_factorization': [[[720, -51, -13, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 61}
-
id: 3646818
{'charpoly_factorization': [[[-496, -92, 5, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 67}
-
id: 3646819
{'charpoly_factorization': [[[-225, 96, 22, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 71}
-
id: 3646820
{'charpoly_factorization': [[[-2120, -176, 12, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 73}
-
id: 3646821
{'charpoly_factorization': [[[-512, -144, 4, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 79}
-
id: 3646822
{'charpoly_factorization': [[[36, 40, -15, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 83}
-
id: 3646823
{'charpoly_factorization': [[[-64, -128, 8, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 89}
-
id: 3646824
{'charpoly_factorization': [[[-50, -81, -3, 1], 1]], 'hecke_orbit_code': 103582791463080440, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '4600.2.a.x', 'level': 4600, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 255551000
{'hecke_orbit_code': 103582791463080440, 'n': 1, 'trace_an': 3}
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{'hecke_orbit_code': 103582791463080440, 'n': 986, 'trace_an': 0}
-
id: 255551986
{'hecke_orbit_code': 103582791463080440, 'n': 987, 'trace_an': 110}
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id: 255551987
{'hecke_orbit_code': 103582791463080440, 'n': 988, 'trace_an': 0}
-
id: 255551988
{'hecke_orbit_code': 103582791463080440, 'n': 989, 'trace_an': 24}
-
id: 255551989
{'hecke_orbit_code': 103582791463080440, 'n': 990, 'trace_an': 0}
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id: 255551990
{'hecke_orbit_code': 103582791463080440, 'n': 991, 'trace_an': -18}
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id: 255551991
{'hecke_orbit_code': 103582791463080440, 'n': 992, 'trace_an': 0}
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id: 255551992
{'hecke_orbit_code': 103582791463080440, 'n': 993, 'trace_an': -214}
-
id: 255551993
{'hecke_orbit_code': 103582791463080440, 'n': 994, 'trace_an': 0}
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id: 255551994
{'hecke_orbit_code': 103582791463080440, 'n': 995, 'trace_an': 0}
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id: 255551995
{'hecke_orbit_code': 103582791463080440, 'n': 996, 'trace_an': 0}
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id: 255551996
{'hecke_orbit_code': 103582791463080440, 'n': 997, 'trace_an': 16}
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id: 255551997
{'hecke_orbit_code': 103582791463080440, 'n': 998, 'trace_an': 0}
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id: 255551998
{'hecke_orbit_code': 103582791463080440, 'n': 999, 'trace_an': -204}
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id: 255551999
{'hecke_orbit_code': 103582791463080440, 'n': 1000, 'trace_an': 0}