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{'Nk2': 18392, 'analytic_conductor': 36.71521484938472, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [11, -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': [4598, 1, [3269, 3631], [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': [[3, [-1, 1]], [5, [0, 1]], [7, [1, 1]], [13, [-2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425152502, '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': True, 'label': '4598.2.a.h', 'level': 4598, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 11, 19], 'level_radical': 418, 'minimal_twist': '4598.2.a.h', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/4598/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4598.2.a', 'trace_display': [-1, 1, 0, -1], 'trace_hash': 1982333854437915618, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.972', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.924', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.774', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, -1, 1, 1, 0, -1, -1, -1, -2, 0, 0, 1, 2, 1, 0, 1, 6, 2, 1, 0, -1, 0, -9, -1, -5, -2, -5, -1, 3, 0, 8, -1, 0, -6, 0, -2, -7, -1, 2, 0, 0, 1, -10, 0, 0, 9, 9, 1, -6, 5, 6, 2, -9, 5, 0, 1, 1, -3, -9, 0, 8, -8, 2, 1, 0, 0, -4, 6, -9, 0, 12, 2, 2, 7, -5, 1, 0, -2, 14, 0, 1, 0, -12, -1, 0, 10, 3, 0, 6, 0, -2, -9, 8, -9, 0, -1, -16, 6, 0, -5, 0, -6, 14, -2, 0, 9, -15, -5, -19, 0, -7, -1, 12, -1, 0, 3, -4, 9, -6, 0, 0, -8, 0, 8, 0, -2, 8, -1, -10, 0, -18, 0, -1, 4, 0, -6, -6, 9, 8, 0, 9, -12, 0, -2, 0, -2, -6, -7, -12, 5, -10, -1, -12, 0, 0, 2, -22, -14, -9, 0, 9, -1, -10, 0, 0, 12, 6, 1, -9, 0, -2, -10, 3, -3, 5, 0, -9, -6, 15, 0, -22, 2, 8, 9, 0, -8, 0, 9, 5, 0, -9, 1, -22, 16, 0, -6, -12, 0, -16, 5, -4, 0, -3, 6, 0, -14, 18, 2, 0, 0, 5, -9, 12, 15, 0, 5, -8, 19, 2, 0, 12, 7, -16, 1, 10, -12, 12, 1, -4, 0, 0, -3, 27, 4, 0, -9, 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'hecke_orbit': 8, 'hecke_orbit_code': 31525197425152502, 'label': '4598.2.a.h.1.1', 'level': 4598, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [11, 1], [19, -1]], 23, 5], [[[2, -1], [11, -1], [19, -1]], 26, 9], [[[2, 1], [11, -1], [19, -1]], 19, 7], [[[2, 1], [11, -1], [19, 1]], 24, 14], [[[2, -1], [11, 1], [19, 1]], 25, 6], [[[2, 1], [11, 1], [19, 1]], 16, 3], [[[2, -1], [11, 1], [19, -1]], 14, 6], [[[2, -1], [11, -1], [19, 1]], 16, 6]], 'ALdims': [16, 23, 24, 19, 25, 14, 16, 26], 'Nk2': 18392, 'analytic_conductor': 36.71521484938472, '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': [4598, 1, [3269, 3631], [1, 1]], 'conrey_index': 1, 'cusp_dim': 637, 'dim': 163, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 13], 'hecke_orbit_code': 33559030, 'hecke_orbit_dims': [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, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10], 'label': '4598.2.a', 'level': 4598, 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190, -4, 12, 68, -1700, 14, 372, -348, 304, 8, 0, -212, 92, -336, 156, 264, 166, -12, 72, 152, 256, 0, 432, -14, -586, 22, 290, -42, -240, -28, -554, 212, 0, -136, 232, 326, 636, 28, 76, 312, -292, -310, -16, 0, 952, 52, -492, 276, -234, 52, 200, -106, 924, 12, 0, 164, 18, -36, -260, 130, -188, -188, -126, 436, 212, 0, 780, 204, -544, -324, -574, 180, 174, -64], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46079386
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152502, 'source_is_minimal': True, 'source_label': '4598.2.a.h.1.1', 'source_level': 4598, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425152502, 'target_is_minimal': True, 'target_label': '4598.2.a.h.1.1', 'target_level': 4598, 'twist_class_label': '4598.2.a.h.1.1', 'twist_class_level': 4598, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46079387
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425152502, 'source_is_minimal': True, 'source_label': '4598.2.a.h.1.1', 'source_level': 4598, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071486966, 'target_is_minimal': True, 'target_label': '4598.2.a.q.1.1', 'target_level': 4598, 'twist_class_label': '4598.2.a.h.1.1', 'twist_class_level': 4598, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3644350
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 2}
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id: 3644351
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 3}
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id: 3644352
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 5}
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id: 3644353
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 7}
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id: 3644354
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 11}
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id: 3644355
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 13}
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id: 3644356
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 17}
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id: 3644357
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 19}
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id: 3644358
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 23}
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id: 3644359
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 29}
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id: 3644360
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 31}
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id: 3644361
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 37}
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id: 3644362
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 41}
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id: 3644363
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 43}
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id: 3644364
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 47}
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id: 3644365
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 53}
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id: 3644366
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 59}
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id: 3644367
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 61}
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id: 3644368
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 67}
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id: 3644369
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 71}
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id: 3644370
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 73}
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id: 3644371
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 79}
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id: 3644372
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 83}
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id: 3644373
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 89}
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id: 3644374
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 31525197425152502, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '4598.2.a.h', 'level': 4598, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 187463000
{'hecke_orbit_code': 31525197425152502, 'n': 1, 'trace_an': 1}
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id: 187463001
{'hecke_orbit_code': 31525197425152502, 'n': 2, 'trace_an': -1}
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id: 187463002
{'hecke_orbit_code': 31525197425152502, 'n': 3, 'trace_an': 1}
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id: 187463003
{'hecke_orbit_code': 31525197425152502, 'n': 4, 'trace_an': 1}
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id: 187463004
{'hecke_orbit_code': 31525197425152502, 'n': 5, 'trace_an': 0}
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id: 187463005
{'hecke_orbit_code': 31525197425152502, 'n': 6, 'trace_an': -1}
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id: 187463006
{'hecke_orbit_code': 31525197425152502, 'n': 7, 'trace_an': -1}
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id: 187463007
{'hecke_orbit_code': 31525197425152502, 'n': 8, 'trace_an': -1}
-
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id: 187463989
{'hecke_orbit_code': 31525197425152502, 'n': 990, 'trace_an': 0}
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id: 187463990
{'hecke_orbit_code': 31525197425152502, 'n': 991, 'trace_an': -28}
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id: 187463991
{'hecke_orbit_code': 31525197425152502, 'n': 992, 'trace_an': -8}
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id: 187463992
{'hecke_orbit_code': 31525197425152502, 'n': 993, 'trace_an': 5}
-
id: 187463993
{'hecke_orbit_code': 31525197425152502, 'n': 994, 'trace_an': 12}
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id: 187463994
{'hecke_orbit_code': 31525197425152502, 'n': 995, 'trace_an': 0}
-
id: 187463995
{'hecke_orbit_code': 31525197425152502, 'n': 996, 'trace_an': -12}
-
id: 187463996
{'hecke_orbit_code': 31525197425152502, 'n': 997, 'trace_an': -52}
-
id: 187463997
{'hecke_orbit_code': 31525197425152502, 'n': 998, 'trace_an': 10}
-
id: 187463998
{'hecke_orbit_code': 31525197425152502, 'n': 999, 'trace_an': 35}
-
id: 187463999
{'hecke_orbit_code': 31525197425152502, 'n': 1000, 'trace_an': 0}