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{'Nk2': 33320, 'analytic_conductor': 66.51538488372655, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [7, 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': [8330, 1, [1667, 2551, 2451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 11344, 'field_disc_factorization': [[2, 4], [709, 1]], 'field_poly': [3, 4, -4, -2, 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': [[3, [9, -8, -6, 2, 1]], [11, [29, -8, -22, -2, 1]], [13, [11, 98, 64, 14, 1]], [19, [32, -48, -16, 4, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538940042, 'hecke_ring_generator_nbound': 3, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8330.2.a.cd', 'level': 8330, '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, 5, 7, 17], 'level_radical': 1190, 'minimal_twist': '1190.2.i.k', 'nf_label': '4.4.11344.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta _{2}q^{3}+q^{4}-q^{5}+\\beta _{2}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8330.2.a', 'trace_display': [4, -2, -4, 0], 'trace_hash': 1799407891383887957, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.669', 'prec': 20}, {'__RealLiteral__': 0, 'data': '13.568', 'prec': 20}, {'__RealLiteral__': 0, 'data': '698.065', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [4, 4, -2, 4, -4, -2, 0, 4, 4, -4, 2, -2, -14, 0, 2, 4, 4, 4, -4, -4, 0, 2, 6, -2, 4, -14, -8, 0, 0, 2, -18, 4, 8, 4, 0, 4, -8, -4, 6, -4, -12, 0, 14, 2, -4, 6, -8, -2, 0, 4, -2, -14, -22, -8, -2, 0, 8, 0, -2, 2, 8, -18, 0, 4, 14, 8, 8, 4, -8, 0, -8, 4, 12, -8, -2, -4, 0, 6, -6, -4, -24, -12, -6, 0, -4, 14, -42, 2, -12, -4, 0, 6, -20, -8, 4, -2, -16, 0, -26, 4, -4, -2, -6, -14, 0, -22, 26, -8, 28, -2, -6, 0, 16, 8, -6, 0, -16, -2, 0, 2, 4, 8, 4, -18, -4, 0, 2, 4, -32, 14, 6, 8, 0, 8, 8, 4, -4, -8, 2, 0, 12, -8, -2, 4, 0, 12, 0, -8, -26, -2, -30, -4, 4, 0, 18, 6, -42, -6, 4, -4, 0, -24, -6, -12, -8, -6, 0, 0, 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mf_hecke_nf • Show schema
Hide schema
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24, -22], [-8, 19, -2, 2], [9, -13, -27, 4], [-18, 18, -6, 3], [10, -26, -3, -34], [-34, -26, 12, -7]], 'char_orbit_index': 1, 'field_poly': [3, 4, -4, -2, 1], 'hecke_orbit_code': 247697979538940042, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 1, 1, 0], [4, 5, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -1, 1, 0], [2, -3, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '8330.2.a.cd', 'level': 8330, 'maxp': 3023, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [10, 16, 17, 11, 14, 12, 14, 14, 15, 9, 14, 17, 9, 19, 17, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [77, 82, 81, 77, 80, 78, 76, 82, 81, 79, 76, 79, 83, 73, 77, 84], 'Nk2': 33320, 'analytic_conductor': 66.51538488372655, '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': [8330, 1, [1667, 2551, 2451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1481, 'dim': 216, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13, 19], 'hecke_orbit_code': 33562762, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 6, 6, 6, 7, 7, 8, 8, 10, 10], 'label': '8330.2.a', 'level': 8330, '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, 5, 7, 17], 'level_radical': 1190, 'mf_dim': 1544, 'mf_new_dim': 216, 'num_forms': 75, 'plus_dim': 87, 'prim_orbit_index': 1, 'relative_dim': 216, 'sturm_bound': 3024, 'trace_bound': 13, 'trace_display': [0, -4, -2, 0], 'traces': [216, 0, -4, 216, -2, -4, 0, 0, 204, -2, -4, -4, -16, 0, 0, 216, -4, -8, -20, -2, 0, 4, 8, -4, 216, -4, 8, 0, 20, -4, -8, 0, 16, 0, 0, 204, 84, 16, 112, -2, 8, 0, 88, -4, -10, -8, 32, -4, 0, 0, 0, -16, 0, -16, 0, 0, 80, 28, -36, 0, -20, 0, 0, 216, 12, -8, 72, -4, 0, 0, -32, -8, -32, 4, -4, -20, 0, -24, 120, -2, 192, 8, 16, 0, 2, 0, 16, 4, 28, 6, 0, 8, 120, -4, 0, -4, -24, 0, 4, 216, 24, 4, -32, -4, 0, -28, 60, 8, 68, 0, -8, 0, -32, 48, 4, 20, 24, 0, 0, -4, 184, -4, -16, -8, -2, 0, 16, 0, 40, -12, 4, 16, 0, -8, 24, 0, 40, 8, 20, 0, -16, 8, 72, 204, 4, 8, 0, 84, 64, -4, 80, 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-46, -184, 0, 0, 324, 0, -32, 104, -268, 0, -40, 12, 56, 104, -196, -24, 0, -120, -192, -16, -8, 16, -4, 0, -112, 72, 40, -20, -24, 112, 0, 164, -84, -120, -560, 0, 152, 0, 72, -8, 32, -168, -120, 32, 0, 148, -404, -16, -344, -48, 104, 0, -312, 24, 28, 204, 8, -56, 0, -8, -192, 16, -108, 116, 56, 0, -176, 80, 80, 128, 120, 32, 0, 16, -16, 4, -304, -80, 160, 0, 84, -84, -336, 28, -184, -40, 0, -48, -32, -136, 0, 144, 152, 0, -368, -48, 284, -88, 16, -36, 0, -160, -356, 16, 144, 16, 272, 0, -336, 288, -104, 16, 272, -56, 0, 0, 20, 120, -228, -24, 20, 0, 64, 40, -76, -48, -36, 20, 0, 80, 112, -20, 272, -328, 112, 0, 460, -80, 152, 136, 80, 16, 0, 272, -168, 88, -32, 0, 16, 0, -80, 144, 44, 4, -248, -2], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1386429
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 56, 'source_is_minimal': False, 'source_label': '8330.2.a.cd', 'source_level': 8330, 'target_char_orbit': 9, 'target_dim': 8, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1190.2.i.k', 'target_level': 1190, 'twist_class_label': '1190.2.i.k', 'twist_class_level': 1190, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1386430
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 56, 'source_is_minimal': False, 'source_label': '8330.2.a.cd', 'source_level': 8330, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 56, 'target_is_minimal': False, 'target_label': '8330.2.a.cd', 'target_level': 8330, 'twist_class_label': '1190.2.i.k', 'twist_class_level': 1190, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1386431
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 56, 'source_is_minimal': False, 'source_label': '8330.2.a.cd', 'source_level': 8330, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 64, 'target_is_minimal': False, 'target_label': '8330.2.a.cl', 'target_level': 8330, 'twist_class_label': '1190.2.i.k', 'twist_class_level': 1190, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4724850
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 247697979538940042, 'p': 2}
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id: 4724851
{'charpoly_factorization': [[[9, -8, -6, 2, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 3}
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id: 4724852
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 247697979538940042, 'p': 5}
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id: 4724853
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 247697979538940042, 'p': 7}
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id: 4724854
{'charpoly_factorization': [[[29, -8, -22, -2, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 11}
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id: 4724855
{'charpoly_factorization': [[[11, 98, 64, 14, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 13}
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id: 4724856
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 247697979538940042, 'p': 17}
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id: 4724857
{'charpoly_factorization': [[[32, -48, -16, 4, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 19}
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id: 4724858
{'charpoly_factorization': [[[-12, 56, -12, -6, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 23}
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id: 4724859
{'charpoly_factorization': [[[844, -28, -64, 0, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 29}
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id: 4724860
{'charpoly_factorization': [[[-620, -32, 84, 18, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 31}
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id: 4724861
{'charpoly_factorization': [[[-412, -268, -28, 8, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 37}
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id: 4724862
{'charpoly_factorization': [[[-400, -176, 16, 12, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 41}
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id: 4724863
{'charpoly_factorization': [[[-772, 256, 28, -14, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 43}
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id: 4724864
{'charpoly_factorization': [[[432, -144, -48, 8, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 47}
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id: 4724865
{'charpoly_factorization': [[[163, 282, 132, 22, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 53}
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id: 4724866
{'charpoly_factorization': [[[2796, -256, -136, 2, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 59}
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id: 4724867
{'charpoly_factorization': [[[-16, 368, -48, -8, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 61}
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id: 4724868
{'charpoly_factorization': [[[15968, 1072, -248, -8, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 67}
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id: 4724869
{'charpoly_factorization': [[[1299, -178, -88, 8, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 71}
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id: 4724870
{'charpoly_factorization': [[[-1052, 484, -12, -12, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 73}
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id: 4724871
{'charpoly_factorization': [[[1459, -724, -132, 6, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 79}
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id: 4724872
{'charpoly_factorization': [[[-1060, -856, -164, 6, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 83}
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id: 4724873
{'charpoly_factorization': [[[2273, -736, -98, 12, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 89}
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id: 4724874
{'charpoly_factorization': [[[464, -176, -56, 16, 1], 1]], 'hecke_orbit_code': 247697979538940042, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 56, 'label': '8330.2.a.cd', 'level': 8330, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71902513
{'hecke_orbit_code': 247697979538940042, 'n': 1, 'trace_an': 4}
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id: 71902514
{'hecke_orbit_code': 247697979538940042, 'n': 2, 'trace_an': 4}
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id: 71902515
{'hecke_orbit_code': 247697979538940042, 'n': 3, 'trace_an': -2}
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id: 71902516
{'hecke_orbit_code': 247697979538940042, 'n': 4, 'trace_an': 4}
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id: 71902517
{'hecke_orbit_code': 247697979538940042, 'n': 5, 'trace_an': -4}
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id: 71902518
{'hecke_orbit_code': 247697979538940042, 'n': 6, 'trace_an': -2}
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