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{'Nk2': 29760, 'analytic_conductor': 59.4086991038326, 'analytic_rank': 1, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 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]], [11, [0, 1]], [13, [-4, 2, 1]], [17, [-20, 0, 1]], [19, [-16, 4, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364158736, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7440.2.a.bi', 'level': 7440, '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': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '3720.2.a.i', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+(-1-\\beta )q^{7}+q^{9}+(-1+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7440.2.a', 'trace_display': [0, 2, -2, -2], 'trace_hash': 1744634763524374671, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 0], [0, 0], [-1, 0], [0, 0], [-1, -1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [-1, 0], [0, 0], [0, -2], [0, 0], [-2, 2], [0, 0], [-1, -1], [0, 0], [4, 0], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [-5, 1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [1, 1], [0, 0], [7, 1], [0, 0], [-1, 1], [0, 0], [-6, 0], [0, 0], [-2, 2], [0, 0], [-1, 0], [0, 0], [0, 4], [0, 0], [-1, 2], [0, 0], [0, -2], [0, 0], [4, -2], [0, 0], [0, 0], [0, 0], [-2, 2], [0, 0], [-9, -1], [0, 0], [-8, 2], [0, 0], [-1, -1], [0, 0], [1, -1], [0, 0], [3, 3], [0, 0], [4, 0], [0, 0], [7, -1], [0, 0], [1, -5], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [1, 0], [0, 0], [-4, -4], [0, 0], [0, 2], [0, 0], [-5, 1], [0, 0], [-5, 1], [0, 0], [-4, 0], [0, 0], [1, 0], [0, 0], [2, -2], [0, 0], [-4, 2], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [1, 0], [-1, 0], [-1, -1], [0, 0], [-1, 1], [0, -2], [-2, 2], [4, 0], [-5, 1], [1, 0], [7, 1], [-6, 0], [-2, 2], [0, 4], [4, -2], [-9, -1], 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18], [28, 4], [33, 1], [-28, -14], [-68, 8], [47, 5], [23, -7], [-28, -16], [-63, 9], [22, 4], [42, 20], [2, -46], [-57, -19], [-64, 4], [64, 8], [12, -10], [17, 25], [-64, 20], [-40, -4], [-21, 29], [-15, -9], [10, 24], [-48, 26], [-52, 0]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 153122387364158736, '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': '7440.2.a.bi', 'level': 7440, 'maxp': 3067, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 8, 9, 6, 8, 7, 6, 9, 8, 7, 6, 9, 7, 8, 9, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [82, 90, 92, 85, 87, 90, 88, 83, 91, 82, 84, 91, 89, 86, 84, 89], 'Nk2': 29760, 'analytic_conductor': 59.4086991038326, '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': [7440, 1, [6511, 1861, 4961, 2977, 5521], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 120, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33561872, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '7440.2.a', 'level': 7440, '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': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 1560, 'mf_new_dim': 120, 'num_forms': 58, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 3072, 'trace_bound': 17, 'trace_display': [0, 0, 0, -8], 'traces': [120, 0, 0, 0, 0, 0, -8, 0, 120, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 120, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -16, 0, -16, 0, 0, 0, 0, 0, 104, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 8, 0, 0, 0, 32, 0, 0, 0, 0, 0, 32, 0, -16, 0, 120, 0, 48, 0, 0, 0, -24, 0, -16, 0, -48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -96, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, -80, 0, 168, 0, -48, 0, 0, 0, -16, 0, 0, 0, 48, 0, -32, 0, 0, 0, 64, 0, -80, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, -64, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 8, 0, 0, 0, 16, 0, 136, 0, 0, 0, 0, 0, -8, 0, 0, 0, 32, 0, -32, 0, -32, 0, 16, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1349129
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7440.2.a.bi', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3720.2.a.i', 'target_level': 3720, 'twist_class_label': '3720.2.a.i', 'twist_class_level': 3720, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1349130
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '7440.2.a.bi', 'source_level': 7440, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7440.2.a.bi', 'target_level': 7440, 'twist_class_label': '3720.2.a.i', 'twist_class_level': 3720, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4474575
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 153122387364158736, 'p': 2}
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id: 4474576
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 153122387364158736, 'p': 3}
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id: 4474577
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 153122387364158736, 'p': 5}
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id: 4474578
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 7}
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id: 4474579
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 153122387364158736, 'p': 11}
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id: 4474580
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 13}
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id: 4474581
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 17}
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id: 4474582
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 19}
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id: 4474583
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 153122387364158736, 'p': 23}
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id: 4474584
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 29}
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id: 4474585
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 153122387364158736, 'p': 31}
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id: 4474586
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 37}
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id: 4474587
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 153122387364158736, 'p': 41}
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id: 4474588
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 43}
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id: 4474589
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 47}
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id: 4474590
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 53}
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id: 4474591
{'charpoly_factorization': [[[76, 18, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 59}
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id: 4474592
{'charpoly_factorization': [[[44, 16, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 61}
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id: 4474593
{'charpoly_factorization': [[[-36, -6, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 67}
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id: 4474594
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 71}
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id: 4474595
{'charpoly_factorization': [[[-124, -2, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 73}
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id: 4474596
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 79}
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id: 4474597
{'charpoly_factorization': [[[-64, 8, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 83}
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id: 4474598
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 89}
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id: 4474599
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 153122387364158736, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '7440.2.a.bi', 'level': 7440, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69591091
{'hecke_orbit_code': 153122387364158736, 'n': 1, 'trace_an': 2}
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id: 69591092
{'hecke_orbit_code': 153122387364158736, 'n': 2, 'trace_an': 0}
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id: 69591093
{'hecke_orbit_code': 153122387364158736, 'n': 3, 'trace_an': 2}
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id: 69591094
{'hecke_orbit_code': 153122387364158736, 'n': 4, 'trace_an': 0}
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id: 69591095
{'hecke_orbit_code': 153122387364158736, 'n': 5, 'trace_an': -2}
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id: 69591096
{'hecke_orbit_code': 153122387364158736, 'n': 6, 'trace_an': 0}
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id: 69591097
{'hecke_orbit_code': 153122387364158736, 'n': 7, 'trace_an': -2}
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id: 69591098
{'hecke_orbit_code': 153122387364158736, 'n': 8, 'trace_an': 0}
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id: 69591099
{'hecke_orbit_code': 153122387364158736, 'n': 9, 'trace_an': 2}
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id: 69591100
{'hecke_orbit_code': 153122387364158736, 'n': 10, 'trace_an': 0}
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id: 69591101
{'hecke_orbit_code': 153122387364158736, 'n': 11, 'trace_an': 0}
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id: 69591102
{'hecke_orbit_code': 153122387364158736, 'n': 12, 'trace_an': 0}
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id: 69591103
{'hecke_orbit_code': 153122387364158736, 'n': 13, 'trace_an': -2}
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id: 69591104
{'hecke_orbit_code': 153122387364158736, 'n': 14, 'trace_an': 0}
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id: 69591105
{'hecke_orbit_code': 153122387364158736, 'n': 15, 'trace_an': -2}
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id: 69591106
{'hecke_orbit_code': 153122387364158736, 'n': 16, 'trace_an': 0}
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id: 69591107
{'hecke_orbit_code': 153122387364158736, 'n': 17, 'trace_an': 0}
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id: 69591108
{'hecke_orbit_code': 153122387364158736, 'n': 18, 'trace_an': 0}
-
id: 69591109
{'hecke_orbit_code': 153122387364158736, 'n': 19, 'trace_an': -4}
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id: 69591110
{'hecke_orbit_code': 153122387364158736, 'n': 20, 'trace_an': 0}
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id: 69591111
{'hecke_orbit_code': 153122387364158736, 'n': 21, 'trace_an': -2}
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id: 69591112
{'hecke_orbit_code': 153122387364158736, 'n': 22, 'trace_an': 0}
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id: 69591113
{'hecke_orbit_code': 153122387364158736, 'n': 23, 'trace_an': 8}
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id: 69591114
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