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mf_newforms • Show schema
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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4368, 2, [3823, 1093, 1457, 1249, 2017], [2, 2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 10, 'field_disc': -1067831815868416, 'field_disc_factorization': [[-1, 1], [2, 12], [510589, 2]], 'field_poly': [32, 144, 324, 316, 130, -48, 28, 18, 8, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64, 0, 528, 0, 992, 0, 284, 0, 29, 0, 1]], [11, [16384, 0, 111872, 0, 39312, 0, 3168, 0, 96, 0, 1]], [17, [-128, 384, 64, -52, 0, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568873989935376, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4368.2.h.t', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '2184.2.h.e', 'prim_orbit_index': 2, 'qexp_display': 'q+q^{3}+(\\beta _{1}+\\beta _{5})q^{5}+\\beta _{1}q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4368.2.h', 'trace_display': [0, 10, 0, 0], 'trace_hash': 1027259918172211465, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.270', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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0, 0, -4, 6], [0, 0, 8, 8, -4, 0, 0, 0, -2, 4], [2, 0, 11, 6, 7, 0, 0, 0, 4, -7], [-12, 0, 8, 20, 6, 0, 0, 0, -7, -6], [0, 1, 0, 0, -4, 11, 13, -2, 0, -4], [-6, 0, 0, 10, 10, 0, 0, 0, 1, -10], [0, -3, 0, 0, -11, 15, 7, -1, 0, -11], [-36, 0, 12, -8, 8, 0, 0, 0, 4, -8], [-8, 0, -15, -16, -13, 0, 0, 0, 1, 13], [0, 26, 0, 0, 7, -10, -2, 2, 0, 7], [0, 13, 0, 0, 6, 7, 3, -4, 0, 6], [-36, 0, -14, -4, 6, 0, 0, 0, -8, -6], [0, 42, 0, 0, 1, -2, -6, 4, 0, 1], [0, 19, 0, 0, -8, -9, 6, 0, 0, -8], [-10, 0, 11, 10, 4, 0, 0, 0, 8, -4], [0, -1, 0, 0, 2, -25, 1, -10, 0, 2], [0, 4, 0, 0, -15, 6, 7, 0, 0, -15], [-20, 0, -12, 0, 2, 0, 0, 0, 4, -2]], 'char_orbit_index': 8, 'field_poly': [32, 144, 324, 316, 130, -48, 28, 18, 8, -4, 1], 'hecke_orbit_code': 85568873989935376, 'hecke_ring_character_values': [[3823, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1093, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1457, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1249, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [2017, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 105963352, 52981676, 52981676, 2464264, 1232132, 105963352, 52981676, 13245419, 105963352], 'hecke_ring_inverse_denominators': [1, 2, 2, 1, 1, 2, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0], [0, 10, 0, 0, 1, 2, 2, 1, 0, 1], [-10, 10, -3, -5, 3, 5, 3, 1, 1, 0], [-59, 0, -11, -21, 10, 0, 0, 0, 8, -10], [-300, -300, -60, -132, 0, -132, -60, -41, 41, -114], [0, -838, 0, 0, -164, -340, -144, -123, 0, -164], [2263, -2263, 393, 967, -914, -967, -393, -334, -334, 0], [12514, 0, 2082, 5246, -2549, 0, 0, 0, -1881, 2549], [34330, 34330, 5716, 14576, 0, 14576, 5716, 5172, -5172, 14106]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-176351608, -622168788, -572373740, -349494182, 129322072, -58610700, -32822558, -22385964, 10122488, -2335639], [-199458284, 140307352, 345589846, 415274362, -164193084, 28767166, 17207430, 27719552, -11134171, 2199633], [109106384, -167315880, -412878970, -498118454, 187123640, -37372866, -20601026, -32329024, 12984597, -2589599], [33487184, 77746676, 82105292, 7742894, -5110072, 5698812, 5014126, 335220, -438600, 154047], [-8054672, -28368376, -35174798, -15561424, 6166732, -2736774, -1948576, -988670, 478857, -114626], [943793848, 3327792884, 3731984616, 1853464830, -705522136, 311184664, 207187286, 116630528, -55005042, 12973407], [-494347560, -1739154716, -2794949292, -936616882, 395900472, -159470092, -167118734, -55204652, 30449668, -7709981], [2304942, 131798056, 324501498, 389598134, -134359104, 26504200, 16150117, 26161144, -10424657, 2071882], [810078176, 4580665148, 6581131156, 4004866410, -1514922200, 508354068, 367636130, 256644668, -115617736, 25921189]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 10, 'label': '4368.2.h.t', 'level': 4368, 'maxp': 2999, 'weight': 2}
-
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{'Nk2': 17472, 'analytic_conductor': 34.87865560289527, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4368, 2, [3823, 1093, 1457, 1249, 2017], [2, 2, 2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 872, 'dim': 84, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 481069895952, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 8, 10, 10, 10], 'label': '4368.2.h', 'level': 4368, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 920, 'mf_new_dim': 84, 'num_forms': 20, 'prim_orbit_index': 2, 'relative_dim': 84, 'sturm_bound': 1792, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 1202781
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 10, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4368.2.h.t', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '2184.2.h.e', 'target_level': 2184, 'twist_class_label': '2184.2.h.e', 'twist_class_level': 2184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202782
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 10, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4368.2.h.t', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '2184.2.h.e', 'target_level': 2184, 'twist_class_label': '2184.2.h.e', 'twist_class_level': 2184, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1202783
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 10, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4368.2.h.t', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4368.2.h.t', 'target_level': 4368, 'twist_class_label': '2184.2.h.e', 'twist_class_level': 2184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1202784
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 10, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '4368.2.h.t', 'source_level': 4368, 'target_char_orbit': 8, 'target_dim': 10, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '4368.2.h.t', 'target_level': 4368, 'twist_class_label': '2184.2.h.e', 'twist_class_level': 2184, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3581900
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 85568873989935376, 'p': 2}
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id: 3581901
{'charpoly_factorization': [[[-1, 1], 10]], 'hecke_orbit_code': 85568873989935376, 'p': 3}
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id: 3581902
{'charpoly_factorization': [[[64, 0, 528, 0, 992, 0, 284, 0, 29, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 5}
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id: 3581903
{'charpoly_factorization': [[[1, 0, 1], 5]], 'hecke_orbit_code': 85568873989935376, 'p': 7}
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id: 3581904
{'charpoly_factorization': [[[16384, 0, 111872, 0, 39312, 0, 3168, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 11}
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id: 3581905
{'charpoly_factorization': [[[371293, -57122, -24167, -10816, 1742, 1188, 134, -64, -11, -2, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 13}
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id: 3581906
{'charpoly_factorization': [[[-128, 384, 64, -52, 0, 1], 2]], 'hecke_orbit_code': 85568873989935376, 'p': 17}
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id: 3581907
{'charpoly_factorization': [[[16384, 0, 54272, 0, 31744, 0, 3040, 0, 97, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 19}
-
id: 3581908
{'charpoly_factorization': [[[-1072, 720, 16, -52, 1, 1], 2]], 'hecke_orbit_code': 85568873989935376, 'p': 23}
-
id: 3581909
{'charpoly_factorization': [[[2144, 1144, -108, -90, 1, 1], 2]], 'hecke_orbit_code': 85568873989935376, 'p': 29}
-
id: 3581910
{'charpoly_factorization': [[[4194304, 0, 8011776, 0, 686080, 0, 20160, 0, 241, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 31}
-
id: 3581911
{'charpoly_factorization': [[[409010176, 0, 49123328, 0, 2063360, 0, 38528, 0, 324, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 37}
-
id: 3581912
{'charpoly_factorization': [[[5456896, 0, 14347584, 0, 1013712, 0, 25520, 0, 268, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 41}
-
id: 3581913
{'charpoly_factorization': [[[-1024, -768, 320, 44, -17, 1], 2]], 'hecke_orbit_code': 85568873989935376, 'p': 43}
-
id: 3581914
{'charpoly_factorization': [[[2027776, 0, 8101264, 0, 729360, 0, 22428, 0, 269, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 47}
-
id: 3581915
{'charpoly_factorization': [[[-256, -888, -532, -94, 1, 1], 2]], 'hecke_orbit_code': 85568873989935376, 'p': 53}
-
id: 3581916
{'charpoly_factorization': [[[1024, 0, 3392, 0, 2832, 0, 624, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 59}
-
id: 3581917
{'charpoly_factorization': [[[2176, 1408, 40, -76, -2, 1], 2]], 'hecke_orbit_code': 85568873989935376, 'p': 61}
-
id: 3581918
{'charpoly_factorization': [[[635846656, 0, 104189952, 0, 4585984, 0, 72080, 0, 456, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 67}
-
id: 3581919
{'charpoly_factorization': [[[11075584, 0, 4952320, 0, 658832, 0, 23712, 0, 288, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 71}
-
id: 3581920
{'charpoly_factorization': [[[1628283904, 0, 261398016, 0, 8482048, 0, 104244, 0, 541, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 73}
-
id: 3581921
{'charpoly_factorization': [[[-23168, -1456, 1608, -28, -19, 1], 2]], 'hecke_orbit_code': 85568873989935376, 'p': 79}
-
id: 3581922
{'charpoly_factorization': [[[66455104, 0, 16000720, 0, 1151104, 0, 28096, 0, 281, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 83}
-
id: 3581923
{'charpoly_factorization': [[[1514143744, 0, 203027984, 0, 7467008, 0, 99800, 0, 537, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 89}
-
id: 3581924
{'charpoly_factorization': [[[2252071936, 0, 211173632, 0, 6674048, 0, 88228, 0, 501, 0, 1], 1]], 'hecke_orbit_code': 85568873989935376, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 20, 'label': '4368.2.h.t', 'level': 4368, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 248748000
{'hecke_orbit_code': 85568873989935376, 'n': 1, 'trace_an': 10}
-
id: 248748001
{'hecke_orbit_code': 85568873989935376, 'n': 2, 'trace_an': 0}
-
id: 248748002
{'hecke_orbit_code': 85568873989935376, 'n': 3, 'trace_an': 10}
-
id: 248748003
{'hecke_orbit_code': 85568873989935376, 'n': 4, 'trace_an': 0}
-
id: 248748004
{'hecke_orbit_code': 85568873989935376, 'n': 5, 'trace_an': 0}
-
id: 248748005
{'hecke_orbit_code': 85568873989935376, 'n': 6, 'trace_an': 0}
-
id: 248748006
{'hecke_orbit_code': 85568873989935376, 'n': 7, 'trace_an': 0}
-
id: 248748007
{'hecke_orbit_code': 85568873989935376, 'n': 8, 'trace_an': 0}
-
id: 248748008
{'hecke_orbit_code': 85568873989935376, 'n': 9, 'trace_an': 10}
-
id: 248748009
{'hecke_orbit_code': 85568873989935376, 'n': 10, 'trace_an': 0}
-
id: 248748010
{'hecke_orbit_code': 85568873989935376, 'n': 11, 'trace_an': 0}
-
id: 248748011
{'hecke_orbit_code': 85568873989935376, 'n': 12, 'trace_an': 0}
-
id: 248748012
{'hecke_orbit_code': 85568873989935376, 'n': 13, 'trace_an': 2}
-
id: 248748013
{'hecke_orbit_code': 85568873989935376, 'n': 14, 'trace_an': 0}
-
id: 248748014
{'hecke_orbit_code': 85568873989935376, 'n': 15, 'trace_an': 0}
-
id: 248748015
{'hecke_orbit_code': 85568873989935376, 'n': 16, 'trace_an': 0}
-
id: 248748016
{'hecke_orbit_code': 85568873989935376, 'n': 17, 'trace_an': 0}
-
id: 248748017
{'hecke_orbit_code': 85568873989935376, 'n': 18, 'trace_an': 0}
-
id: 248748018
{'hecke_orbit_code': 85568873989935376, 'n': 19, 'trace_an': 0}
-
id: 248748019
{'hecke_orbit_code': 85568873989935376, 'n': 20, 'trace_an': 0}
-
id: 248748020
{'hecke_orbit_code': 85568873989935376, 'n': 21, 'trace_an': 0}
-
id: 248748021
{'hecke_orbit_code': 85568873989935376, 'n': 22, 'trace_an': 0}
-
id: 248748022
{'hecke_orbit_code': 85568873989935376, 'n': 23, 'trace_an': -2}
-
id: 248748023
{'hecke_orbit_code': 85568873989935376, 'n': 24, 'trace_an': 0}
-
id: 248748024
{'hecke_orbit_code': 85568873989935376, 'n': 25, 'trace_an': -8}
-
id: 248748025
{'hecke_orbit_code': 85568873989935376, 'n': 26, 'trace_an': 0}
-
id: 248748026
{'hecke_orbit_code': 85568873989935376, 'n': 27, 'trace_an': 10}
-
id: 248748027
{'hecke_orbit_code': 85568873989935376, 'n': 28, 'trace_an': 0}
-
id: 248748028
{'hecke_orbit_code': 85568873989935376, 'n': 29, 'trace_an': -2}
-
id: 248748029
{'hecke_orbit_code': 85568873989935376, 'n': 30, 'trace_an': 0}
-
id: 248748030
{'hecke_orbit_code': 85568873989935376, 'n': 31, 'trace_an': 0}
-
id: 248748031
{'hecke_orbit_code': 85568873989935376, 'n': 32, 'trace_an': 0}
-
id: 248748032
{'hecke_orbit_code': 85568873989935376, 'n': 33, 'trace_an': 0}
-
id: 248748033
{'hecke_orbit_code': 85568873989935376, 'n': 34, 'trace_an': 0}
-
id: 248748034
{'hecke_orbit_code': 85568873989935376, 'n': 35, 'trace_an': -6}
-
id: 248748035
{'hecke_orbit_code': 85568873989935376, 'n': 36, 'trace_an': 0}
-
id: 248748036
{'hecke_orbit_code': 85568873989935376, 'n': 37, 'trace_an': 0}
-
id: 248748037
{'hecke_orbit_code': 85568873989935376, 'n': 38, 'trace_an': 0}
-
id: 248748038
{'hecke_orbit_code': 85568873989935376, 'n': 39, 'trace_an': 2}
-
id: 248748039
{'hecke_orbit_code': 85568873989935376, 'n': 40, 'trace_an': 0}
-
id: 248748040
{'hecke_orbit_code': 85568873989935376, 'n': 41, 'trace_an': 0}
-
id: 248748041
{'hecke_orbit_code': 85568873989935376, 'n': 42, 'trace_an': 0}
-
id: 248748042
{'hecke_orbit_code': 85568873989935376, 'n': 43, 'trace_an': 34}
-
id: 248748043
{'hecke_orbit_code': 85568873989935376, 'n': 44, 'trace_an': 0}
-
id: 248748044
{'hecke_orbit_code': 85568873989935376, 'n': 45, 'trace_an': 0}
-
id: 248748045
{'hecke_orbit_code': 85568873989935376, 'n': 46, 'trace_an': 0}
-
id: 248748046
{'hecke_orbit_code': 85568873989935376, 'n': 47, 'trace_an': 0}
-
id: 248748047
{'hecke_orbit_code': 85568873989935376, 'n': 48, 'trace_an': 0}
-
id: 248748048
{'hecke_orbit_code': 85568873989935376, 'n': 49, 'trace_an': -10}
-
id: 248748049
{'hecke_orbit_code': 85568873989935376, 'n': 50, 'trace_an': 0}
-
id: 248748050
{'hecke_orbit_code': 85568873989935376, 'n': 51, 'trace_an': 0}
-
id: 248748051
{'hecke_orbit_code': 85568873989935376, 'n': 52, 'trace_an': 0}
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