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{'Nk2': 7392, 'analytic_conductor': 14.756354293532615, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [11, -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': [1848, 1, [463, 925, 617, 1585, 673], [1, 1, 1, 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': [[5, [1, 1]], [13, [-1, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425149752, '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': '1848.2.a.h', 'level': 1848, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '1848.2.a.h', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1848/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1848.2.a', 'trace_display': [0, 1, -1, -1], 'trace_hash': 2008418772950673016, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.001', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [7, 1], [11, 1]], 2, 2], [[[2, -1], [3, 1], [7, 1], [11, 1]], 2, 1], [[[2, 1], [3, 1], [7, -1], [11, -1]], 2, 2], [[[2, -1], [3, -1], [7, 1], [11, 1]], 2, 2], [[[2, -1], [3, 1], [7, -1], [11, -1]], 2, 1], [[[2, 1], [3, -1], [7, -1], [11, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [11, -1]], 3, 2], [[[2, -1], [3, -1], [7, -1], [11, 1]], 3, 1], [[[2, 1], [3, -1], [7, 1], [11, -1]], 1, 1], [[[2, -1], [3, 1], [7, -1], [11, 1]], 3, 2], [[[2, 1], [3, 1], [7, 1], [11, 1]], 2, 1], [[[2, 1], [3, 1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, 1], [7, 1], [11, -1]], 2, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 2, 1], [[[2, 1], [3, -1], [7, -1], [11, 1]], 1, 1]], 'ALdims': [2, 2, 1, 2, 2, 1, 1, 3, 2, 2, 3, 2, 2, 3, 3, 1], 'Nk2': 7392, 'analytic_conductor': 14.756354293532615, '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': [1848, 1, [463, 925, 617, 1585, 673], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 369, 'dim': 32, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 33556280, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '1848.2.a', 'level': 1848, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 400, 'mf_new_dim': 32, 'num_forms': 21, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 768, 'trace_bound': 13, 'trace_display': [0, 0, -8, 0], 'traces': [32, 0, 0, 0, -8, 0, 0, 0, 32, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 32, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 8, 0, -8, 0, 8, 0, 32, 0, 8, 0, 8, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, -16, 0, 0, 0, 0, 0, -24, 0, 8, 0, 0, 0, 0, 0, 32, 0, 32, 0, -32, 0, -16, 0, 16, 0, -16, 0, -16, 0, 8, 0, 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0, 32, 0, 592, 0, 0, 0, 304, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46052534
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425149752, 'source_is_minimal': True, 'source_label': '1848.2.a.h.1.1', 'source_level': 1848, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425149752, 'target_is_minimal': True, 'target_label': '1848.2.a.h.1.1', 'target_level': 1848, 'twist_class_label': '1848.2.a.h.1.1', 'twist_class_level': 1848, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46052535
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425149752, 'source_is_minimal': True, 'source_label': '1848.2.a.h.1.1', 'source_level': 1848, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562005928, 'target_is_minimal': False, 'target_label': '5544.2.a.m.1.1', 'target_level': 5544, 'twist_class_label': '1848.2.a.h.1.1', 'twist_class_level': 1848, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46052536
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197425149752, 'source_is_minimal': True, 'source_label': '1848.2.a.h.1.1', 'source_level': 1848, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797781104, 'target_is_minimal': False, 'target_label': '3696.2.a.g.1.1', 'target_level': 3696, 'twist_class_label': '1848.2.a.h.1.1', 'twist_class_level': 1848, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2250425
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 2}
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id: 2250426
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 3}
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id: 2250427
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 5}
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id: 2250428
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 7}
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id: 2250429
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 11}
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id: 2250430
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 13}
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id: 2250431
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 17}
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id: 2250432
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 19}
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id: 2250433
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 23}
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id: 2250434
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 29}
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id: 2250435
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 31}
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id: 2250436
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 37}
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id: 2250437
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 41}
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id: 2250438
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 43}
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id: 2250439
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 47}
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id: 2250440
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 53}
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id: 2250441
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 59}
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id: 2250442
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 61}
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id: 2250443
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 67}
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id: 2250444
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 71}
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id: 2250445
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 73}
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id: 2250446
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 79}
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id: 2250447
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 83}
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id: 2250448
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 89}
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id: 2250449
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425149752, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '1848.2.a.h', 'level': 1848, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 185944000
{'hecke_orbit_code': 31525197425149752, 'n': 1, 'trace_an': 1}
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id: 185944001
{'hecke_orbit_code': 31525197425149752, 'n': 2, 'trace_an': 0}
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id: 185944002
{'hecke_orbit_code': 31525197425149752, 'n': 3, 'trace_an': 1}
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id: 185944003
{'hecke_orbit_code': 31525197425149752, 'n': 4, 'trace_an': 0}
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id: 185944004
{'hecke_orbit_code': 31525197425149752, 'n': 5, 'trace_an': -1}
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id: 185944005
{'hecke_orbit_code': 31525197425149752, 'n': 6, 'trace_an': 0}
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id: 185944006
{'hecke_orbit_code': 31525197425149752, 'n': 7, 'trace_an': -1}
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id: 185944007
{'hecke_orbit_code': 31525197425149752, 'n': 8, 'trace_an': 0}
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id: 185944008
{'hecke_orbit_code': 31525197425149752, 'n': 9, 'trace_an': 1}
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id: 185944009
{'hecke_orbit_code': 31525197425149752, 'n': 10, 'trace_an': 0}
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id: 185944010
{'hecke_orbit_code': 31525197425149752, 'n': 11, 'trace_an': 1}
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id: 185944011
{'hecke_orbit_code': 31525197425149752, 'n': 12, 'trace_an': 0}
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id: 185944012
{'hecke_orbit_code': 31525197425149752, 'n': 13, 'trace_an': 1}
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id: 185944013
{'hecke_orbit_code': 31525197425149752, 'n': 14, 'trace_an': 0}
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id: 185944014
{'hecke_orbit_code': 31525197425149752, 'n': 15, 'trace_an': -1}
-
id: 185944015
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