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{'Nk2': 22440, 'analytic_conductor': 44.79607553393829, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1], [11, -1], [17, 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': [5610, 1, [1871, 3367, 1531, 3301], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-4, -2, 1]], [13, [-4, 2, 1]], [19, [-44, 2, 1]], [23, [4, 6, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892602858, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5610.2.a.bu', 'level': 5610, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 11, 17], 'level_radical': 5610, 'minimal_twist': '5610.2.a.bu', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(1+\\beta )q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5610.2.a', 'trace_display': [2, -2, -2, 2], 'trace_hash': 437338162058176172, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.838', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.654', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.130', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, 'traces': [2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, -6, -2, 2, -2, -2, 2, -8, 2, -8, 2, -2, -2, -2, 2, -12, -2, 2, -2, 0, -2, -2, 2, -2, -6, -4, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -8, -2, 2, 12, -8, 2, 2, 2, -2, 12, -2, 6, -2, -6, 2, -2, -12, -2, -2, 2, 2, -6, -2, 2, 0, -8, -2, 2, -2, 8, 2, 4, -2, 8, -6, 8, -4, 2, -2, 0, -2, 2, 2, 0, 2, 8, -2, 2, 2, -16, -2, -12, -2, 12, 2, -26, 2, 6, -8, -2, -2, -2, 2, 2, 12, 0, -8, -2, 2, -24, 2, 2, 2, 0, -2, -32, 12, 2, -2, 4, 6, 16, -2, 4, -6, -2, 2, 8, -2, 2, -12, -28, -2, -20, -2, -2, 2, 8, 2, 12, -6, -2, -2, -16, 2, -4, 0, 2, -8, -24, -2, -14, 2, -2, -2, 0, 8, 2, 2, 2, 4, -30, -2, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0], [1, 0], [-1, 0], [1, 0], [-1, 0], [-1, 0], [1, 1], [1, 0], [1, 0], [-1, 0], [1, 0], [-1, 0], [-1, 1], [1, 1], [1, 0], [1, 0], [-1, 0], [1, 0], [-1, -3], [-1, 0], [-1, -1], [1, 0], [-3, -1], [-1, 0], [1, 0], [-1, 1], [-1, 0], [1, 1], [-4, -2], [1, 0], [-4, 0], [1, 0], [-1, 0], [-1, 0], [-1, -1], [1, 0], [-6, 0], [-1, -3], [1, -1], [-1, 0], [0, -4], [-1, -1], [-1, -1], [1, 0], [-1, 0], [-3, -1], [-2, 2], [-1, 0], [-1, 2], [1, 0], [1, 0], [-1, 1], [1, 1], [-1, 0], [-1, 0], [1, 1], [1, 3], [-4, -2], [-1, -1], [1, 0], [6, 0], [-4, 0], [1, 1], [1, 0], [1, -1], [-1, 0], [6, 0], [-1, 0], [3, 1], [-1, -1], [-3, 1], [1, 0], [-1, 1], [-6, 0], [-1, 0], [-1, -3], [1, 1], [1, -1], [-3, 3], [-1, 0], [1, 0], [0, -4], [-4, 4], [-1, -1], [1, 0], [-1, -1], [4, 2], [1, 0], [2, -4], [-1, 0], [4, 0], [-3, -1], [4, 0], [-2, 2], [1, 3], [-1, 0], [0, 0], [-1, 2], [1, 0], [1, 0]], 'ap': [[1, 0], [-1, 0], [-1, 0], [1, 1], [1, 0], [-1, 1], [-1, 0], [-1, -3], [-3, -1], [-4, -2], [-4, 0], [-6, 0], 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-9], [40, 0], [-6, -12], [30, -8], [24, 30], [-58, -4], [-9, 19], [0, 0], [-11, 35], [28, -6], [-17, 5], [2, -8], [-8, 32], [23, -1], [68, 8], [64, 20], [-38, -18], [10, -32]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 207165582892602858, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '5610.2.a.bu', 'level': 5610, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 2, 2, 4, 3, 4, 2, 4, 4, 4, 3, 4, 4, 4, 5, 2, 3, 2, 3, 5, 3, 4, 5, 1, 3, 5, 5, 2, 5, 1, 1, 7], 'Nk2': 22440, 'analytic_conductor': 44.79607553393829, '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': [5610, 1, [1871, 3367, 1531, 3301], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1281, 'dim': 111, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 19, 23], 'hecke_orbit_code': 33560042, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5], 'label': '5610.2.a', 'level': 5610, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 11, 17], 'level_radical': 5610, 'mf_dim': 1312, 'mf_new_dim': 111, 'num_forms': 63, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 111, 'sturm_bound': 2592, 'trace_bound': 13, 'trace_display': [-1, 7, -1, 8], 'traces': [111, -1, 7, 111, -1, -1, 8, -1, 111, -1, -1, 7, 2, -8, -1, 111, -1, -1, -4, -1, 8, 7, -8, -1, 111, 2, 7, 8, -30, -1, 0, -1, -1, -1, -8, 111, 26, 28, 34, -1, 22, -8, 36, -1, -1, 8, 16, 7, 119, -1, -1, 2, 26, -1, -1, -8, 28, 2, 20, -1, 18, 32, 8, 111, 18, -1, 60, -1, 8, -8, 8, -1, 6, -6, 7, -4, 8, 2, 64, -1, 111, 22, 44, 8, -1, 68, 34, 7, -26, -1, -16, -8, 16, 16, -20, -1, 30, 71, -1, 111, 26, 7, -8, 2, -8, 26, -12, 7, -30, -1, -6, 8, -2, 12, 8, -30, 2, 52, 8, -1, 111, 50, -10, 0, -1, -8, 32, -1, 36, 2, 28, -1, 32, 28, -1, -1, -10, -8, 68, -8, -16, 24, 2, 111, 2, 86, 79, 26, 10, -1, 8, 28, -1, -8, 32, 34, 2, 48, 10, -1, 0, -1, 60, 22, 7, -4, -40, -8, 233, -1, -4, 36, -14, -14, 8, -1, -12, 38, -36, -1, 42, 16, 66, 8, -38, 0, 7, 16, 8, 12, 32, 7, -114, -34, 18, 119, -6, 7, 24, -1, -36, -6, 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-32, -26, -1, -96, 96, -134, -20, -8, 16, -66, 96, 111, -22, 22, 160, 46, -22, 120, 212, -68, 26, 16, -352, 28, -20, 54, -62, -22, 320, 7, 40, 8, -100, 50, -48, -8, 26, -208, -8, 2, 270, -32, -356, 86, 40, -4, -1, 2, 182, -32, -74, 0, 18, -158, -112, 20, -8, -12, 44, 0, -44, 28, -30, -8, -378, 26, -112, 16, 2, 0, 368, -1, 335, 76, -12, -2, -66, -128, -264, -1, -20, -2, -124, 7, 256, 56, 34, 18, 78, 60, 38, 7, -30, -108, 88, 22, 26, 34, 0, -24, -224, -1, -64, 32, -44, 256, -40, -20, 42, -212, -6, -1], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '5610.2.a.bu', 'source_level': 5610, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': True, 'target_label': '5610.2.a.bu', 'target_level': 5610, 'twist_class_label': '5610.2.a.bu', 'twist_class_level': 5610, '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: 3948125
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 2}
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id: 3948126
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 3}
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id: 3948127
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 5}
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id: 3948128
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 7}
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id: 3948129
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 11}
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id: 3948130
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 13}
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id: 3948131
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 17}
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id: 3948132
{'charpoly_factorization': [[[-44, 2, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 19}
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id: 3948133
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 23}
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id: 3948134
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 29}
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id: 3948135
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 31}
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id: 3948136
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 37}
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id: 3948137
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 41}
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id: 3948138
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 43}
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id: 3948139
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 47}
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id: 3948140
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 53}
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id: 3948141
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 59}
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id: 3948142
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 61}
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id: 3948143
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 67}
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id: 3948144
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 71}
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id: 3948145
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 73}
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id: 3948146
{'charpoly_factorization': [[[-36, 6, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 79}
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id: 3948147
{'charpoly_factorization': [[[-64, 8, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 83}
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id: 3948148
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 207165582892602858, 'p': 89}
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id: 3948149
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892602858, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '5610.2.a.bu', 'level': 5610, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71259577
{'hecke_orbit_code': 207165582892602858, 'n': 1, 'trace_an': 2}
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id: 71259578
{'hecke_orbit_code': 207165582892602858, 'n': 2, 'trace_an': 2}
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id: 71259579
{'hecke_orbit_code': 207165582892602858, 'n': 3, 'trace_an': -2}
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