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{'Nk2': 32128, 'analytic_conductor': 64.1358429034924, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [251, 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': [8032, 1, [6527, 3013, 257], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 30, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-14616, 328432, -1216270, -7723667, 8463530, 50632814, -14226593, -147146842, -6697591, 233654260, 45966223, -227734645, -61970751, 145911061, 45290222, -63976570, -21062495, 19613565, 6621717, -4234014, -1441472, 639279, 217648, -65937, -22361, 4418, 1490, -173, -58, 3, 1]], [7, [-533733, 3624482, 66811137, -629516472, 846935352, 3472730139, -7055656821, -6772028507, 17495631432, 6856582274, -20889441710, -4726223748, 14111525902, 2492010983, -5870734794, -995590512, 1574789612, 286292256, -277620945, -56911393, 31963836, 7600052, -2307381, -660185, 92990, 35345, -1293, -1047, -33, 13, 1]], [11, [6097731584, -51652526080, -160834781184, 2607381934080, -7880733710336, 6477772282880, 6853699814912, -12128048881920, -577148676864, 8096026225088, -1433209520608, -3048958528496, 780393083040, 753052167140, -202337835258, -130879451697, 31363298686, 16459344031, -3063578377, -1495839087, 185840754, 96119216, -6310449, -4201768, 67587, 117520, 2741, -1880, -101, 13, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425155936, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8032.2.a.h', 'level': 8032, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 251], 'level_radical': 502, 'minimal_twist': '8032.2.a.h', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 30, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8032.2.a', 'trace_display': [0, -3, 0, -13], 'traces': [30, 0, -3, 0, 0, 0, -13, 0, 35, 0, -13, 0, -7, 0, -28, 0, -9, 0, 17, 0, -6, 0, -43, 0, 34, 0, -12, 0, -1, 0, -39, 0, 0, 0, -17, 0, -1, 0, -48, 0, -3, 0, 19, 0, 0, 0, -66, 0, 25, 0, 14, 0, 3, 0, -50, 0, -14, 0, -27, 0, 15, 0, -75, 0, -6, 0, -8, 0, 18, 0, -64, 0, -15, 0, -9, 0, 0, 0, -71, 0, 6, 0, -60, 0, 15, 0, -64, 0, -32, 0, 26, 0, -4, 0, -72, 0, -4, 0, -13, 0, 10, 0, -64, 0, -2, 0, -57, 0, -3, 0, -64, 0, -35, 0, -3, 0, -3, 0, -63, 0, 41, 0, -42, 0, -3, 0, -80, 0, -4, 0, -6, 0, 22, 0, -112, 0, 6, 0, 31, 0, -4, 0, -84, 0, -32, 0, -27, 0, -5, 0, -98, 0, 19, 0, -51, 0, -33, 0, -64, 0, -35, 0, -1, 0, 46, 0, -94, 0, 19, 0, 11, 0, 8, 0, -106, 0, -4, 0, -6, 0, 11, 0, -104, 0, -8, 0, -36, 0, -8, 0, -96, 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mf_newspaces • Show schema
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{'ALdims': [59, 66, 66, 59], 'Nk2': 32128, 'analytic_conductor': 64.1358429034924, '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': [8032, 1, [6527, 3013, 257], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1001, 'dim': 250, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33562464, 'hecke_orbit_dims': [1, 1, 1, 1, 28, 28, 30, 30, 30, 30, 35, 35], 'label': '8032.2.a', 'level': 8032, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 251], 'level_radical': 502, 'mf_dim': 1016, 'mf_new_dim': 250, 'num_forms': 12, 'plus_dim': 118, 'prim_orbit_index': 1, 'relative_dim': 250, 'sturm_bound': 2016, 'trace_bound': 11, 'trace_display': [0, 0, 4, 0], 'traces': [250, 0, 0, 0, 4, 0, 0, 0, 250, 0, 0, 0, -12, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 238, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, 36, 0, 0, 0, 234, 0, 0, 0, 20, 0, 0, 0, -16, 0, 0, 0, 20, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, -28, 0, 0, 0, 48, 0, 0, 0, 202, 0, 0, 0, 56, 0, 0, 0, -44, 0, 0, 0, 48, 0, 0, 0, -12, 0, 0, 0, 52, 0, 0, 0, -48, 0, 0, 0, -12, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, 250, 0, 0, 0, 24, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 4, 0, 0, 0, -80, 0, 0, 0, -72, 0, 0, 0, -44, 0, 0, 0, -12, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 190, 0, 0, 0, 84, 0, 0, 0, 48, 0, 0, 0, 52, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 36, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -80, 0, 0, 0, -24, 0, 0, 0, 190, 0, 0, 0, -108, 0, 0, 0, 4, 0, 0, 0, 16, 0, 0, 0, -12, 0, 0, 0, 116, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, -28, 0, 0, 0, 36, 0, 0, 0, -8, 0, 0, 0, 36, 0, 0, 0, -16, 0, 0, 0, 4, 0, 0, 0, -92, 0, 0, 0, 96, 0, 0, 0, 254, 0, 0, 0, 20, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 8, 0, 0, 0, -96, 0, 0, 0, 20, 0, 0, 0, 20, 0, 0, 0, -16, 0, 0, 0, -36, 0, 0, 0, -96, 0, 0, 0, -76, 0, 0, 0, -124, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -12, 0, 0, 0, -60, 0, 0, 0, 48, 0, 0, 0, 90, 0, 0, 0, -24, 0, 0, 0, -76, 0, 0, 0, -44, 0, 0, 0, 88, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, -28, 0, 0, 0, -16, 0, 0, 0, 52, 0, 0, 0, -76, 0, 0, 0, 324, 0, 0, 0, -76, 0, 0, 0, -80, 0, 0, 0, -32, 0, 0, 0, 52, 0, 0, 0, 108, 0, 0, 0, 80, 0, 0, 0, -108, 0, 0, 0, 48, 0, 0, 0, 138, 0, 0, 0, 136, 0, 0, 0, 100, 0, 0, 0, 112, 0, 0, 0, -28, 0, 0, 0, 68, 0, 0, 0, 320, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, 260, 0, 0, 0, -40, 0, 0, 0, 72, 0, 0, 0, 176, 0, 0, 0, 8, 0, 0, 0, 48, 0, 0, 0, -48, 0, 0, 0, -56, 0, 0, 0, 116, 0, 0, 0, 144, 0, 0, 0, 16, 0, 0, 0, 84, 0, 0, 0, 48, 0, 0, 0, 266, 0, 0, 0, -216, 0, 0, 0, 144, 0, 0, 0, -44, 0, 0, 0, 40, 0, 0, 0, 20, 0, 0, 0, 32, 0, 0, 0, -156, 0, 0, 0, -192, 0, 0, 0, 72, 0, 0, 0, -12, 0, 0, 0, -160, 0, 0, 0, -28, 0, 0, 0, 48, 0, 0, 0, -136, 0, 0, 0, -176, 0, 0, 0, 180, 0, 0, 0, 64, 0, 0, 0, -60, 0, 0, 0, -12, 0, 0, 0, -160, 0, 0, 0, -12, 0, 0, 0, -44, 0, 0, 0, 144, 0, 0, 0, 226, 0, 0, 0, -168, 0, 0, 0, -176, 0, 0, 0, 84, 0, 0, 0, -44, 0, 0, 0, -112, 0, 0, 0, 32, 0, 0, 0, 116, 0, 0, 0, -300, 0, 0, 0, -60, 0, 0, 0, 32, 0, 0, 0, -176, 0, 0, 0, -60, 0, 0, 0, 244, 0, 0, 0, -224, 0, 0, 0, 24, 0, 0, 0, -184, 0, 0, 0, 240, 0, 0, 0, 40, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -128, 0, 0, 0, 76, 0, 0, 0, -38, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -56, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, -12, 0, 0, 0, 232, 0, 0, 0, -188, 0, 0, 0, 100, 0, 0, 0, -80, 0, 0, 0, 48, 0, 0, 0, 168, 0, 0, 0, -80, 0, 0, 0, -72, 0, 0, 0, -28, 0, 0, 0, 36, 0, 0, 0, 128, 0, 0, 0, -124, 0, 0, 0, 192, 0, 0, 0, 192, 0, 0, 0, 148, 0, 0, 0, -48, 0, 0, 0, -140, 0, 0, 0, -300, 0, 0, 0, 160, 0, 0, 0, 78, 0, 0, 0, 188, 0, 0, 0, -80, 0, 0, 0, -92, 0, 0, 0, 196, 0, 0, 0, 112, 0, 0, 0, -168, 0, 0, 0, 128, 0, 0, 0, 116, 0, 0, 0, -92, 0, 0, 0, 4, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, -72, 0, 0, 0, 56, 0, 0, 0, 36, 0, 0, 0, 176, 0, 0, 0, 128, 0, 0, 0, 96, 0, 0, 0, -4, 0, 0, 0, 52, 0, 0, 0, 32, 0, 0, 0, -124, 0, 0, 0, 36, 0, 0, 0, -224, 0, 0, 0, 104, 0, 0, 0, -76, 0, 0, 0, -32, 0, 0, 0, 186, 0, 0, 0, -72, 0, 0, 0, 128, 0, 0, 0, 160, 0, 0, 0, 4, 0, 0, 0, 228, 0, 0, 0, 24, 0, 0, 0, -32, 0, 0, 0, 176, 0, 0, 0, -124, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46126157
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 13, 'source_hecke_orbit_code': 31525197425155936, 'source_is_minimal': True, 'source_label': '8032.2.a.h.1.13', 'source_level': 8032, 'target_conrey_index': 1, 'target_dim': 30, 'target_embedding_index': 13, 'target_hecke_orbit_code': 31525197425155936, 'target_is_minimal': True, 'target_label': '8032.2.a.h.1.13', 'target_level': 8032, 'twist_class_label': '8032.2.a.h.1.13', 'twist_class_level': 8032, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46126158
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 13, 'source_hecke_orbit_code': 31525197425155936, 'source_is_minimal': True, 'source_label': '8032.2.a.h.1.13', 'source_level': 8032, 'target_conrey_index': 1, 'target_dim': 30, 'target_embedding_index': 18, 'target_hecke_orbit_code': 36028797052526432, 'target_is_minimal': True, 'target_label': '8032.2.a.i.1.18', 'target_level': 8032, 'twist_class_label': '8032.2.a.h.1.13', 'twist_class_level': 8032, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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hecke_orbit_code 31525197425155936 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '8032.2.a.h', 'level': 8032, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 48862855
{'hecke_orbit_code': 31525197425155936, 'n': 1, 'trace_an': 30}
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id: 48862856
{'hecke_orbit_code': 31525197425155936, 'n': 2, 'trace_an': 0}
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id: 48862857
{'hecke_orbit_code': 31525197425155936, 'n': 3, 'trace_an': -3}
-
id: 48862858
{'hecke_orbit_code': 31525197425155936, 'n': 4, 'trace_an': 0}
-
id: 48862859
{'hecke_orbit_code': 31525197425155936, 'n': 5, 'trace_an': 0}
-
id: 48862860
{'hecke_orbit_code': 31525197425155936, 'n': 6, 'trace_an': 0}
-
id: 48862861
{'hecke_orbit_code': 31525197425155936, 'n': 7, 'trace_an': -13}
-
id: 48862862
{'hecke_orbit_code': 31525197425155936, 'n': 8, 'trace_an': 0}
-
id: 48862863
{'hecke_orbit_code': 31525197425155936, 'n': 9, 'trace_an': 35}
-
id: 48862864
{'hecke_orbit_code': 31525197425155936, 'n': 10, 'trace_an': 0}
-
id: 48862865
{'hecke_orbit_code': 31525197425155936, 'n': 11, 'trace_an': -13}
-
id: 48862866
{'hecke_orbit_code': 31525197425155936, 'n': 12, 'trace_an': 0}
-
id: 48862867
{'hecke_orbit_code': 31525197425155936, 'n': 13, 'trace_an': -7}
-
id: 48862868
{'hecke_orbit_code': 31525197425155936, 'n': 14, 'trace_an': 0}
-
id: 48862869
{'hecke_orbit_code': 31525197425155936, 'n': 15, 'trace_an': -28}
-
id: 48862870
{'hecke_orbit_code': 31525197425155936, 'n': 16, 'trace_an': 0}
-
id: 48862871
{'hecke_orbit_code': 31525197425155936, 'n': 17, 'trace_an': -9}
-
id: 48862872
{'hecke_orbit_code': 31525197425155936, 'n': 18, 'trace_an': 0}
-
id: 48862873
{'hecke_orbit_code': 31525197425155936, 'n': 19, 'trace_an': 17}
-
id: 48862874
{'hecke_orbit_code': 31525197425155936, 'n': 20, 'trace_an': 0}
-
id: 48862875
{'hecke_orbit_code': 31525197425155936, 'n': 21, 'trace_an': -6}
-
id: 48862876
{'hecke_orbit_code': 31525197425155936, 'n': 22, 'trace_an': 0}
-
id: 48862877
{'hecke_orbit_code': 31525197425155936, 'n': 23, 'trace_an': -43}
-
id: 48862878
{'hecke_orbit_code': 31525197425155936, 'n': 24, 'trace_an': 0}
-
id: 48862879
{'hecke_orbit_code': 31525197425155936, 'n': 25, 'trace_an': 34}
-
id: 48862880
{'hecke_orbit_code': 31525197425155936, 'n': 26, 'trace_an': 0}
-
id: 48862881
{'hecke_orbit_code': 31525197425155936, 'n': 27, 'trace_an': -12}
-
id: 48862882
{'hecke_orbit_code': 31525197425155936, 'n': 28, 'trace_an': 0}
-
id: 48862883
{'hecke_orbit_code': 31525197425155936, 'n': 29, 'trace_an': -1}
-
id: 48862884
{'hecke_orbit_code': 31525197425155936, 'n': 30, 'trace_an': 0}
-
id: 48862885
{'hecke_orbit_code': 31525197425155936, 'n': 31, 'trace_an': -39}
-
id: 48862886
{'hecke_orbit_code': 31525197425155936, 'n': 32, 'trace_an': 0}
-
id: 48862887
{'hecke_orbit_code': 31525197425155936, 'n': 33, 'trace_an': 0}
-
id: 48862888
{'hecke_orbit_code': 31525197425155936, 'n': 34, 'trace_an': 0}
-
id: 48862889
{'hecke_orbit_code': 31525197425155936, 'n': 35, 'trace_an': -17}
-
id: 48862890
{'hecke_orbit_code': 31525197425155936, 'n': 36, 'trace_an': 0}
-
id: 48862891
{'hecke_orbit_code': 31525197425155936, 'n': 37, 'trace_an': -1}
-
id: 48862892
{'hecke_orbit_code': 31525197425155936, 'n': 38, 'trace_an': 0}
-
id: 48862893
{'hecke_orbit_code': 31525197425155936, 'n': 39, 'trace_an': -48}
-
id: 48862894
{'hecke_orbit_code': 31525197425155936, 'n': 40, 'trace_an': 0}
-
id: 48862895
{'hecke_orbit_code': 31525197425155936, 'n': 41, 'trace_an': -3}
-
id: 48862896
{'hecke_orbit_code': 31525197425155936, 'n': 42, 'trace_an': 0}
-
id: 48862897
{'hecke_orbit_code': 31525197425155936, 'n': 43, 'trace_an': 19}
-
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id: 48863096
{'hecke_orbit_code': 31525197425155936, 'n': 883, 'trace_an': 7}
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id: 48863097
{'hecke_orbit_code': 31525197425155936, 'n': 887, 'trace_an': -140}
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id: 48863098
{'hecke_orbit_code': 31525197425155936, 'n': 907, 'trace_an': 314}
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id: 48863099
{'hecke_orbit_code': 31525197425155936, 'n': 911, 'trace_an': -158}
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id: 48863100
{'hecke_orbit_code': 31525197425155936, 'n': 919, 'trace_an': -132}
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id: 48863101
{'hecke_orbit_code': 31525197425155936, 'n': 929, 'trace_an': -16}
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id: 48863102
{'hecke_orbit_code': 31525197425155936, 'n': 937, 'trace_an': -92}
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id: 48863103
{'hecke_orbit_code': 31525197425155936, 'n': 941, 'trace_an': -27}
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id: 48863104
{'hecke_orbit_code': 31525197425155936, 'n': 947, 'trace_an': -196}
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id: 48863105
{'hecke_orbit_code': 31525197425155936, 'n': 953, 'trace_an': 70}
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id: 48863106
{'hecke_orbit_code': 31525197425155936, 'n': 961, 'trace_an': 103}
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id: 48863107
{'hecke_orbit_code': 31525197425155936, 'n': 967, 'trace_an': -197}
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id: 48863108
{'hecke_orbit_code': 31525197425155936, 'n': 971, 'trace_an': 7}
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id: 48863109
{'hecke_orbit_code': 31525197425155936, 'n': 977, 'trace_an': 20}
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id: 48863110
{'hecke_orbit_code': 31525197425155936, 'n': 983, 'trace_an': -272}
-
id: 48863111
{'hecke_orbit_code': 31525197425155936, 'n': 991, 'trace_an': -2}
-
id: 48863112
{'hecke_orbit_code': 31525197425155936, 'n': 997, 'trace_an': 17}