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{'Nk2': 11160, 'analytic_conductor': 22.278262163937228, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [31, 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': [2790, 1, [2171, 1117, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 33, 'field_disc_factorization': [[3, 1], [11, 1]], 'field_poly': [-8, -1, 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, [-8, -1, 1]], [11, [4, 7, 1]], [13, [2, 1]], [17, [-32, 2, 1]], [19, [4, 7, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227301606, 'hecke_ring_generator_nbound': 7, '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': '2790.2.a.bd', 'level': 2790, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '930.2.a.r', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{5}+\\beta q^{7}-q^{8}+q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2790.2.a', 'trace_display': [-2, 0, -2, 1], 'trace_hash': 253815812967456213, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.225', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.442', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.162', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.396', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [2, -2, 0, 2, -2, 0, 1, -2, 0, 2, -7, 0, -4, -1, 0, 2, -2, 0, -7, -2, 0, 7, -1, 0, 2, 4, 0, 1, 6, 0, -2, -2, 0, 2, -1, 0, 10, 7, 0, 2, 10, 0, 7, -7, 0, 1, 2, 0, 3, -2, 0, -4, 3, 0, 7, -1, 0, -6, 6, 0, 0, 2, 0, 2, 4, 0, 10, -2, 0, 1, -1, 0, 1, -10, 0, -7, 13, 0, -15, -2, 0, -10, 24, 0, 2, -7, 0, 7, -3, 0, -2, -1, 0, -2, 7, 0, 4, -3, 0, 2, 1, 0, -16, 4, 0, -3, -7, 0, -2, -7, 0, 1, 11, 0, 1, 6, 0, -6, 32, 0, 19, 0, 0, -2, -2, 0, 4, -2, 0, -4, -2, 0, 13, -10, 0, 2, -16, 0, -10, -1, 0, 1, 14, 0, -6, -1, 0, 10, 7, 0, -16, 7, 0, -13, 2, 0, 13, 15, 0, 2, -17, 0, 14, 10, 0, -24, 31, 0, -18, -2, 0, 7, 36, 0, 1, -7, 0, 3, 24, 0, 1, 2, 0, 1, -10, 0, 40, 2, 0, -7, -32, 0, 8, -4, 0, 3, -16, 0, -31, -2, 0, -1, 36, 0, -10, 16, 0, -4, 41, 0, -7, 3, 0, 7, -7, 0, -1, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [-1, 0], [0, 0], [1, 0], [-1, 0], [0, 0], [0, 1], [-1, 0], [0, 0], [1, 0], [-4, 1], [0, 0], [-2, 0], [0, -1], [0, 0], [1, 0], [-2, 2], [0, 0], [-4, 1], [-1, 0], [0, 0], [4, -1], [0, -1], [0, 0], [1, 0], [2, 0], [0, 0], [0, 1], [2, 2], [0, 0], [-1, 0], [-1, 0], [0, 0], [2, -2], [0, -1], [0, 0], [6, -2], [4, -1], [0, 0], [1, 0], [6, -2], [0, 0], [4, -1], [-4, 1], [0, 0], [0, 1], [0, 2], [0, 0], [1, 1], [-1, 0], [0, 0], [-2, 0], [2, -1], [0, 0], [4, -1], [0, -1], [0, 0], [-2, -2], [4, -2], [0, 0], [-2, 4], [1, 0], [0, 0], [1, 0], [2, 0], [0, 0], [4, 2], [-2, 2], [0, 0], [0, 1], [0, -1], [0, 0], [2, -3], [-6, 2], [0, 0], [-4, 1], [8, -3], [0, 0], [-8, 1], [-1, 0], [0, 0], [-6, 2], [12, 0], [0, 0], [2, -2], [-4, 1], [0, 0], [4, -1], [-2, 1], [0, 0], [0, -2], [0, -1], [0, 0], [0, -2], [4, -1], [0, 0], [2, 0], [-1, -1], [0, 0], [1, 0]], 'ap': [[-1, 0], [0, 0], [-1, 0], [0, 1], [-4, 1], [-2, 0], [-2, 2], [-4, 1], [0, -1], [2, 2], [-1, 0], [6, -2], [6, -2], [4, -1], [0, 2], [2, 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[6, -13], [56, -10], [50, 8], [-26, 18], [-40, 5], [-12, 0], [26, -14], [26, 17], [-44, -11], [-34, -19], [60, -12], [-8, 22]], 'char_orbit_index': 1, 'field_poly': [-8, -1, 1], 'hecke_orbit_code': 130604389227301606, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2790.2.a.bd', 'level': 2790, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [31, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [31, -1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [31, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [31, 1]], 3, 3], [[[2, 1], [3, 1], [5, 1], [31, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [31, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [31, -1]], 4, 1], [[[2, 1], [3, 1], [5, -1], [31, 1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [31, 1]], 4, 3], [[[2, -1], [3, -1], [5, -1], [31, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [31, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [31, -1]], 4, 1], [[[2, 1], [3, -1], [5, 1], [31, -1]], 5, 2], [[[2, 1], [3, -1], [5, -1], [31, 1]], 3, 3], [[[2, 1], [3, -1], [5, 1], [31, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [31, -1]], 4, 4]], 'ALdims': [2, 4, 3, 1, 3, 5, 3, 5, 3, 1, 2, 4, 4, 4, 5, 1], 'Nk2': 11160, 'analytic_conductor': 22.278262163937228, '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': [2790, 1, [2171, 1117, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 561, 'dim': 50, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33557222, '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, 2, 2, 2, 2, 2, 3, 4, 4], 'label': '2790.2.a', 'level': 2790, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 592, 'mf_new_dim': 50, 'num_forms': 37, 'plus_dim': 19, 'prim_orbit_index': 1, 'relative_dim': 50, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [-2, 0, -2, 0], 'traces': [50, -2, 0, 50, -2, 0, 0, -2, 0, 2, -8, 0, 0, 0, 0, 50, 4, 0, 24, -2, 0, 12, 8, 0, 50, 4, 0, 0, -28, 0, 0, -2, 0, -4, 0, 0, -8, -16, 0, 2, -4, 0, 20, -8, 0, 16, -16, 0, 50, -2, 0, 0, 24, 0, -16, 0, 0, -16, -16, 0, 12, -8, 0, 50, 4, 0, 16, 4, 0, 16, 32, 0, 28, 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0, -24, 0, 0, -320, -164, 0, -20, -112, 0, -256, 12, 0, -196, 288, 0, -300, 80, 0, 16, 512, 0, -112, 96, 0, 68, -192, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 998757
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2790.2.a.bd', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': True, 'target_label': '930.2.a.r', 'target_level': 930, 'twist_class_label': '930.2.a.r', 'twist_class_level': 930, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 998758
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2790.2.a.bd', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2790.2.a.bd', 'target_level': 2790, 'twist_class_label': '930.2.a.r', 'twist_class_level': 930, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 998759
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2790.2.a.bd', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '4650.2.a.by', 'target_level': 4650, 'twist_class_label': '930.2.a.r', 'twist_class_level': 930, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 998760
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2790.2.a.bd', 'source_level': 2790, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '4650.2.d.bh', 'target_level': 4650, 'twist_class_label': '930.2.a.r', 'twist_class_level': 930, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 998761
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 30, 'source_is_minimal': False, 'source_label': '2790.2.a.bd', 'source_level': 2790, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7440.2.a.bg', 'target_level': 7440, 'twist_class_label': '930.2.a.r', 'twist_class_level': 930, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2851775
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 130604389227301606, 'p': 2}
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id: 2851776
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 130604389227301606, 'p': 3}
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id: 2851777
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 130604389227301606, 'p': 5}
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id: 2851778
{'charpoly_factorization': [[[-8, -1, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 7}
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id: 2851779
{'charpoly_factorization': [[[4, 7, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 11}
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id: 2851780
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 130604389227301606, 'p': 13}
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id: 2851781
{'charpoly_factorization': [[[-32, 2, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 17}
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id: 2851782
{'charpoly_factorization': [[[4, 7, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 19}
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id: 2851783
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 23}
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id: 2851784
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 29}
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id: 2851785
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 130604389227301606, 'p': 31}
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id: 2851786
{'charpoly_factorization': [[[-8, -10, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 37}
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id: 2851787
{'charpoly_factorization': [[[-8, -10, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 41}
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id: 2851788
{'charpoly_factorization': [[[4, -7, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 43}
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id: 2851789
{'charpoly_factorization': [[[-32, -2, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 47}
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id: 2851790
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 53}
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id: 2851791
{'charpoly_factorization': [[[-24, -6, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 59}
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id: 2851792
{'charpoly_factorization': [[[-132, 0, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 61}
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id: 2851793
{'charpoly_factorization': [[[-8, -10, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 67}
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id: 2851794
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 71}
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id: 2851795
{'charpoly_factorization': [[[-74, -1, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 73}
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id: 2851796
{'charpoly_factorization': [[[48, 15, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 79}
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id: 2851797
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 130604389227301606, 'p': 83}
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id: 2851798
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 130604389227301606, 'p': 89}
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id: 2851799
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 130604389227301606, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '2790.2.a.bd', 'level': 2790, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 264258000
{'hecke_orbit_code': 130604389227301606, 'n': 1, 'trace_an': 2}
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id: 264258001
{'hecke_orbit_code': 130604389227301606, 'n': 2, 'trace_an': -2}
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id: 264258002
{'hecke_orbit_code': 130604389227301606, 'n': 3, 'trace_an': 0}
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id: 264258003
{'hecke_orbit_code': 130604389227301606, 'n': 4, 'trace_an': 2}
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id: 264258004
{'hecke_orbit_code': 130604389227301606, 'n': 5, 'trace_an': -2}
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id: 264258005
{'hecke_orbit_code': 130604389227301606, 'n': 6, 'trace_an': 0}
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id: 264258006
{'hecke_orbit_code': 130604389227301606, 'n': 7, 'trace_an': 1}
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id: 264258007
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{'hecke_orbit_code': 130604389227301606, 'n': 997, 'trace_an': 12}
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id: 264258997
{'hecke_orbit_code': 130604389227301606, 'n': 998, 'trace_an': -44}
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id: 264258998
{'hecke_orbit_code': 130604389227301606, 'n': 999, 'trace_an': 0}
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id: 264258999
{'hecke_orbit_code': 130604389227301606, 'n': 1000, 'trace_an': 2}