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{'Nk2': 17640, 'analytic_conductor': 35.214027291384646, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [7, 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': [4410, 1, [3431, 2647, 1081], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[11, [2, -4, 1]], [13, [8, 8, 1]], [17, [2, -4, 1]], [19, [-4, 4, 1]], [29, [14, -8, 1]], [31, [34, 12, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755749178, 'hecke_ring_generator_nbound': 11, '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': '4410.2.a.bp', 'level': 4410, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '4410.2.a.bp', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+(2+\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4410.2.a', 'trace_display': [-2, 0, -2, 0], 'trace_hash': 609286677832677097, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.999', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.829', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.534', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67.532', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, 'traces': [2, -2, 0, 2, -2, 0, 0, -2, 0, 2, 4, 0, -8, 0, 0, 2, 4, 0, -4, -2, 0, -4, 4, 0, 2, 8, 0, 0, 8, 0, -12, -2, 0, -4, 0, 0, -4, 4, 0, 2, 4, 0, 0, 4, 0, -4, 8, 0, 0, -2, 0, -8, -4, 0, -4, 0, 0, -8, 4, 0, -8, 12, 0, 2, 8, 0, -8, 4, 0, 0, -4, 0, -20, 4, 0, -4, 0, 0, 16, -2, 0, -4, -16, 0, -4, 0, 0, -4, 12, 0, 0, 4, 0, -8, 4, 0, -12, 0, 0, 2, 8, 0, 0, 8, 0, 4, -16, 0, 12, 4, 0, 0, -20, 0, -4, 8, 0, -4, 0, 0, -10, 8, 0, -12, -2, 0, 0, -2, 0, -8, 4, 0, 0, 8, 0, -4, -8, 0, -20, 0, 0, 4, -8, 0, -8, 20, 0, -4, 0, 0, 12, 4, 0, 0, 12, 0, -20, -16, 0, 2, 0, 0, 0, 4, 0, 16, -16, 0, 22, 4, 0, 0, -12, 0, 0, 4, 0, -12, -4, 0, -24, 0, 0, -4, 4, 0, 12, 8, 0, -4, 4, 0, 12, 12, 0, 0, -12, 0, -28, -2, 0, -8, 0, 0, -4, 0, 0, -8, -16, 0, -8, -4, 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mf_hecke_nf • Show schema
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[-42, -15], [68, 18], [10, 20], [30, -22], [50, -12], [-42, -16], [28, 44], [-48, -16], [-2, 30], [-40, 24], [-38, -16], [-24, 2], [14, -19], [44, 41], [-24, 35], [-64, -14], [-24, -12], [52, 4], [42, -16], [6, -28], [48, 10], [-24, 50], [-82, -2], [4, -8]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 184647584755749178, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4410.2.a.bp', 'level': 4410, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 3, 3], [[[2, -1], [3, 1], [5, 1], [7, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [7, -1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [7, -1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [7, -1]], 6, 6], [[[2, 1], [3, -1], [5, 1], [7, -1]], 6, 6], [[[2, -1], [3, -1], [5, 1], [7, 1]], 5, 3], [[[2, -1], [3, -1], [5, -1], [7, 1]], 7, 5], [[[2, 1], [3, -1], [5, -1], [7, 1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [7, 1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [7, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [7, -1]], 6, 6], [[[2, 1], [3, 1], [5, 1], [7, 1]], 2, 1], [[[2, -1], [3, 1], [5, -1], [7, 1]], 2, 1], [[[2, 1], [3, 1], [5, -1], [7, 1]], 4, 2]], 'ALdims': [2, 5, 4, 2, 4, 6, 4, 6, 4, 2, 2, 5, 5, 6, 7, 3], 'Nk2': 17640, 'analytic_conductor': 35.214027291384646, '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': [4410, 1, [3431, 2647, 1081], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 945, 'dim': 67, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 29, 31], 'hecke_orbit_code': 33558842, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '4410.2.a', 'level': 4410, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1072, 'mf_new_dim': 67, 'num_forms': 53, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 67, 'sturm_bound': 2016, 'trace_bound': 17, 'trace_display': [1, 0, -1, 0], 'traces': [67, 1, 0, 67, -1, 0, 0, 1, 0, 1, -4, 0, -2, 0, 0, 67, -6, 0, -8, -1, 0, -4, -24, 0, 67, -10, 0, 0, 10, 0, 8, 1, 0, -10, 0, 0, 42, -8, 0, 1, -10, 0, 36, -4, 0, 0, -8, 0, 0, 1, 0, -2, -18, 0, -4, 0, 0, -14, -12, 0, 22, 0, 0, 67, -2, 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mf_twists_nf • Show schema
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id: 1205169
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 42, 'source_is_minimal': True, 'source_label': '4410.2.a.bp', 'source_level': 4410, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': True, 'target_label': '4410.2.a.bp', 'target_level': 4410, 'twist_class_label': '4410.2.a.bp', 'twist_class_level': 4410, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1205170
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 42, 'source_is_minimal': True, 'source_label': '4410.2.a.bp', 'source_level': 4410, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': True, 'target_label': '4410.2.a.bs', 'target_level': 4410, 'twist_class_label': '4410.2.a.bp', 'twist_class_level': 4410, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1205171
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 42, 'source_is_minimal': True, 'source_label': '4410.2.a.bp', 'source_level': 4410, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 47, 'target_is_minimal': True, 'target_label': '4410.2.a.bu', 'target_level': 4410, 'twist_class_label': '4410.2.a.bp', 'twist_class_level': 4410, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1205172
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 42, 'source_is_minimal': True, 'source_label': '4410.2.a.bp', 'source_level': 4410, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': True, 'target_label': '4410.2.a.bx', 'target_level': 4410, 'twist_class_label': '4410.2.a.bp', 'twist_class_level': 4410, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3590700
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 184647584755749178, 'p': 2}
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id: 3590701
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 184647584755749178, 'p': 3}
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id: 3590702
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 184647584755749178, 'p': 5}
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id: 3590703
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 184647584755749178, 'p': 7}
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id: 3590704
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 11}
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id: 3590705
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 13}
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id: 3590706
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 17}
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id: 3590707
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 19}
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id: 3590708
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 23}
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id: 3590709
{'charpoly_factorization': [[[14, -8, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 29}
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id: 3590710
{'charpoly_factorization': [[[34, 12, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 31}
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id: 3590711
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 37}
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id: 3590712
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 41}
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id: 3590713
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 43}
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id: 3590714
{'charpoly_factorization': [[[14, -8, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 47}
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id: 3590715
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 53}
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id: 3590716
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 59}
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id: 3590717
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 61}
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id: 3590718
{'charpoly_factorization': [[[-82, 8, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 67}
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id: 3590719
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 71}
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id: 3590720
{'charpoly_factorization': [[[92, 20, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 73}
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id: 3590721
{'charpoly_factorization': [[[32, -16, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 79}
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id: 3590722
{'charpoly_factorization': [[[-8, 16, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 83}
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id: 3590723
{'charpoly_factorization': [[[-36, -12, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 89}
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id: 3590724
{'charpoly_factorization': [[[-36, 12, 1], 1]], 'hecke_orbit_code': 184647584755749178, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '4410.2.a.bp', 'level': 4410, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273979000
{'hecke_orbit_code': 184647584755749178, 'n': 1, 'trace_an': 2}
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id: 273979001
{'hecke_orbit_code': 184647584755749178, 'n': 2, 'trace_an': -2}
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id: 273979002
{'hecke_orbit_code': 184647584755749178, 'n': 3, 'trace_an': 0}
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