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{'Nk2': 37440, 'analytic_conductor': 74.73997629191844, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [13, 1]], 'atkin_lehner_string': '-+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [9360, 1, [8191, 2341, 2081, 5617, 5761], [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': [[7, [2, 1]], [11, [4, 1]], [17, [-4, 1]], [19, [6, 1]], [31, [-10, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854678672, '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': False, 'label': '9360.2.a.be', 'level': 9360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '585.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-2q^{7}-4q^{11}-q^{13}+4q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/9360/be'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9360.2.a', 'trace_display': [0, 0, 1, -2], 'trace_hash': 2295124287028199808, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [13, -1]], 7, 5], [[[2, 1], [3, 1], [5, -1], [13, -1]], 5, 3], [[[2, -1], [3, 1], [5, -1], [13, 1]], 5, 4], [[[2, -1], [3, 1], [5, -1], [13, -1]], 7, 5], [[[2, -1], [3, -1], [5, 1], [13, 1]], 9, 6], [[[2, 1], [3, -1], [5, -1], [13, -1]], 11, 7], [[[2, 1], [3, 1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 8, 7], [[[2, 1], [3, 1], [5, 1], [13, 1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [13, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [13, 1]], 8, 5], [[[2, -1], [3, -1], [5, 1], [13, -1]], 10, 8], [[[2, -1], [3, -1], [5, -1], [13, 1]], 10, 9], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, 1], [13, 1]], 9, 5]], 'ALdims': [7, 5, 7, 5, 9, 8, 8, 11, 5, 7, 5, 7, 9, 10, 10, 7], 'Nk2': 37440, 'analytic_conductor': 74.73997629191844, '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': [9360, 1, [8191, 2341, 2081, 5617, 5761], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1969, 'dim': 120, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19, 31], 'hecke_orbit_code': 33563792, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '9360.2.a', 'level': 9360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 2064, 'mf_new_dim': 120, 'num_forms': 83, 'plus_dim': 56, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 4032, 'trace_bound': 19, 'trace_display': [0, 0, 0, 4], 'traces': [120, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, 8, 0, 120, 0, 0, 0, -24, 0, -8, 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mf_twists_nf • Show schema
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id: 1428426
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '585.2.a.d', 'target_level': 585, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1428427
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '585.2.a.i', 'target_level': 585, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1428428
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2925.2.a.c', 'target_level': 2925, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1428429
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2925.2.a.m', 'target_level': 2925, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1428430
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2925.2.c.g', 'target_level': 2925, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1428431
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2925.2.c.k', 'target_level': 2925, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1428432
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '7605.2.a.c', 'target_level': 7605, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1428433
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '7605.2.a.q', 'target_level': 7605, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1428434
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '9360.2.a.i', 'target_level': 9360, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1428435
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 31, 'source_is_minimal': False, 'source_label': '9360.2.a.be', 'source_level': 9360, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '9360.2.a.be', 'target_level': 9360, 'twist_class_label': '585.2.a.d', 'twist_class_level': 585, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5008025
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 2}
-
id: 5008026
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 3}
-
id: 5008027
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 5}
-
id: 5008028
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 7}
-
id: 5008029
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 11}
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id: 5008030
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 13}
-
id: 5008031
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 17}
-
id: 5008032
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 19}
-
id: 5008033
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 23}
-
id: 5008034
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 29}
-
id: 5008035
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 31}
-
id: 5008036
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 37}
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id: 5008037
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 41}
-
id: 5008038
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 43}
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id: 5008039
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 47}
-
id: 5008040
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 53}
-
id: 5008041
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 59}
-
id: 5008042
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 61}
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id: 5008043
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 67}
-
id: 5008044
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 71}
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id: 5008045
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 73}
-
id: 5008046
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 79}
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id: 5008047
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 83}
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id: 5008048
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 89}
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id: 5008049
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 135107988854678672, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '9360.2.a.be', 'level': 9360, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 266238000
{'hecke_orbit_code': 135107988854678672, 'n': 1, 'trace_an': 1}
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id: 266238001
{'hecke_orbit_code': 135107988854678672, 'n': 2, 'trace_an': 0}
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id: 266238002
{'hecke_orbit_code': 135107988854678672, 'n': 3, 'trace_an': 0}
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id: 266238003
{'hecke_orbit_code': 135107988854678672, 'n': 4, 'trace_an': 0}
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id: 266238004
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id: 266238998
{'hecke_orbit_code': 135107988854678672, 'n': 999, 'trace_an': 0}
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id: 266238999
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