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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [23, 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': [4600, 1, [1151, 2301, 2577, 1201], [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': [[3, [-4, -2, 1]], [7, [-1, 4, 1]], [11, [-1, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580968952, 'hecke_ring_generator_nbound': 3, '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': True, 'label': '4600.2.a.u', 'level': 4600, '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, 23], 'level_radical': 230, 'minimal_twist': '4600.2.a.q', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{3}+(-2-\\beta )q^{7}+(3+2\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.a', 'trace_display': [0, 2, 0, -4], 'trace_hash': 1293629019498399052, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.910', 'prec': 17}, {'__RealLiteral__': 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0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 1], [0, 0], [0, 0], [0, 0], [-2, -1], [0, 0], [3, 2], [0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [2, 2], [0, 0], [1, 0], [0, 0], [-7, -3], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [10, 2], [0, 0], [-4, 1], [0, 0], [-4, 2], [0, 0], [1, 1], [0, 0], [0, 0], [0, 0], [9, 1], [0, 0], [-5, -1], [0, 0], [3, -4], [0, 0], [7, -2], [0, 0], [0, 0], [0, 0], [5, 3], [0, 0], [2, 4], [0, 0], [12, 4], [0, 0], [-1, 1], [0, 0], [0, 0], [0, 0], [1, 1], [0, 0], [1, 1], [0, 0], [-5, -1], [0, 0], [-16, -7], [0, 0], [0, 0], [0, 0], [4, 4], [0, 0], [-1, -1], [0, 0], [10, 0], [0, 0], [-5, -2], [0, 0], [0, 0], [0, 0], [-2, -1], [0, 0], [4, 5], [0, 0], [11, 6], [0, 0], [9, 0], [0, 0], [0, 0], [0, 0], [1, -3], [0, 0], [2, 0], [0, 0], [5, 2], [0, 0], [6, -2], [0, 0], [0, 0], [0, 0], [-5, 5], [0, 0], [3, 2], [0, 0]], 'ap': [[0, 0], [1, 1], [0, 0], [-2, -1], [1, 0], [0, -1], [2, 2], [1, 0], [-1, 0], [-4, 1], [-4, 2], [9, 1], [3, -4], [7, -2], [5, 3], [-1, 1], [1, 1], [-5, 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[-11, -3], [6, 16], [-38, -2], [-42, 2], [-4, 6], [31, 3], [0, 20], [-44, 2], [18, -4], [28, 5], [2, -11], [-19, 1], [-35, -8], [-17, -13], [-7, 1], [-5, 20], [13, 1], [-27, 8], [2, 6], [-20, -1], [0, 4], [3, 0], [-2, -1], [-16, 11], [26, 1], [-4, -14], [-15, -3], [-1, -15], [-16, 6], [31, 3], [-12, 4], [10, -10], [-19, 6], [-2, -13], [8, 16], [31, 0], [-13, 9], [-11, -1], [-4, 22], [21, -7], [-12, 8], [-3, 18], [-11, 15], [12, 7], [-17, -11], [18, -9], [-36, -8], [-6, 8], [1, -14], [-20, 9], [-30, 1], [-26, 4], [25, -9], [14, 2], [-8, 10], [-20, 15], [-22, 3], [22, -14], [-22, -4], [11, 4], [-36, -11], [-23, -12], [2, -15], [41, -3], [40, -2], [-11, -2], [9, 4], [17, -3], [-13, -4], [-3, -15], [43, 0], [-42, 8], [13, -24], [36, -2], [21, -11], [-36, 10], [-17, 15], [41, -1], [35, -15], [24, 6], [14, -21], [-15, 1], [-35, -8], [10, 7], [-54, -6], [29, -7], [29, -14], [52, 0], [3, 8], [30, -15], [6, -7], [7, -14], [1, -5], [-6, 4], [-7, -19], [6, -8], [-18, 23], [-2, 8], [-30, 1], [0, 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36], [54, -14], [27, -15], [-4, -21], [-26, 20], [18, -8], [-21, -7], [-28, 12], [-8, -18], [-6, -17], [-1, -27], [2, 28], [2, 13], [6, 8], [16, -10], [-4, 32], [3, -19], [28, -2], [88, 0], [3, -24], [-32, 16], [-46, -8], [-10, -18], [30, -3], [40, 16], [34, 2], [-69, 11], [0, -18], [23, -27], [60, 11], [2, -22], [55, -1], [74, -8], [-14, 23], [24, 0], [-21, 9], [61, 12], [54, -5], [-45, -2], [9, -12], [26, 12], [45, -9], [57, 0], [-45, -1], [-33, -8], [29, 7], [22, 20], [44, 2], [24, -8], [-4, -16], [-43, -5], [-3, 35], [-4, 22], [-10, -32], [36, -3], [8, 27], [-2, -32], [26, -1], [-72, -6], [9, -1], [51, -20], [-38, 8], [39, -5], [-44, -10], [-60, 10], [3, 8], [55, -1], [-15, 7], [-24, -6], [4, -12], [-68, -8], [-2, -2], [10, 31], [-9, -1], [28, -28], [-72, 8], [-14, 2], [38, 9], [47, 9], [-7, 20], [48, 14], [-6, -31], [-6, 20], [-8, 29], [12, 10], [28, -6], [-45, -13], [56, -20], [-12, -18], [-57, 4], [33, -17], [26, -24], [38, -19], [-13, -18], [47, 14], [7, 5], [-12, 17], [75, -5], [-5, -1], [4, -44], [20, -1], [-64, 0], [-22, 0], [71, -5], [-11, 33], [-37, -10], [10, -19], [-23, 2], [51, 12], [-5, -31], [2, 2]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 90071992580968952, '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': '4600.2.a.u', 'level': 4600, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [13, 14, 14, 12, 12, 11, 13, 15], 'Nk2': 18400, 'analytic_conductor': 36.731184929788974, '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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 104, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33559032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '4600.2.a', 'level': 4600, '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, 23], 'level_radical': 230, 'mf_dim': 744, 'mf_new_dim': 104, 'num_forms': 37, 'plus_dim': 49, 'prim_orbit_index': 1, 'relative_dim': 104, 'sturm_bound': 1440, 'trace_bound': 11, 'trace_display': [0, 0, 0, -8], 'traces': [104, 0, 0, 0, 0, 0, -8, 0, 96, 0, 2, 0, -4, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, -12, 0, 16, 0, -20, 0, -12, 0, 0, 0, 10, 0, 20, 0, 4, 0, -10, 0, 0, 0, -4, 0, 112, 0, 40, 0, -18, 0, 0, 0, -32, 0, 48, 0, 14, 0, 20, 0, 0, 0, 6, 0, -4, 0, 28, 0, -16, 0, 0, 0, -8, 0, -68, 0, 88, 0, 14, 0, 0, 0, 20, 0, 12, 0, -60, 0, 4, 0, 0, 0, -16, 0, 74, 0, -80, 0, -28, 0, 0, 0, 18, 0, -66, 0, -60, 0, 44, 0, 0, 0, 0, 0, -24, 0, 88, 0, 44, 0, 0, 0, -28, 0, 16, 0, 76, 0, -16, 0, 0, 0, -28, 0, -40, 0, 36, 0, 56, 0, 0, 0, 24, 0, -30, 0, 44, 0, 36, 0, 0, 0, -18, 0, 56, 0, -8, 0, -16, 0, 0, 0, 64, 0, 92, 0, -26, 0, 36, 0, 0, 0, 16, 0, 36, 0, -54, 0, 24, 0, 0, 0, -28, 0, 52, 0, -56, 0, 28, 0, 0, 0, 72, 0, 32, 0, -144, 0, 52, 0, 0, 0, 0, 0, -64, 0, -20, 0, 36, 0, 0, 0, 84, 0, -16, 0, -20, 0, -48, 0, 0, 0, 10, 0, 62, 0, 112, 0, 12, 0, 0, 0, 112, 0, 28, 0, 84, 0, 44, 0, 0, 0, -44, 0, -128, 0, -18, 0, 2, 0, 0, 0, -48, 0, -64, 0, 188, 0, 24, 0, 0, 0, -80, 0, -56, 0, -16, 0, -28, 0, 0, 0, 8, 0, -56, 0, -60, 0, 82, 0, 0, 0, 60, 0, 148, 0, -44, 0, 14, 0, 0, 0, -84, 0, 24, 0, -128, 0, 48, 0, 0, 0, -68, 0, -164, 0, 28, 0, 4, 0, 0, 0, 4, 0, 128, 0, -100, 0, 92, 0, 0, 0, -8, 0, -4, 0, 24, 0, 46, 0, 0, 0, -56, 0, -32, 0, 68, 0, -184, 0, 0, 0, -12, 0, -8, 0, -28, 0, -84, 0, 0, 0, 56, 0, 28, 0, 64, 0, 56, 0, 0, 0, -16, 0, -100, 0, -24, 0, -14, 0, 0, 0, 36, 0, -102, 0, -84, 0, -96, 0, 0, 0, 30, 0, 62, 0, 0, 0, 36, 0, 0, 0, -36, 0, -56, 0, 4, 0, -60, 0, 0, 0, 64, 0, -80, 0, 4, 0, -8, 0, 0, 0, -60, 0, -30, 0, 134, 0, -96, 0, 0, 0, -112, 0, 124, 0, 116, 0, -64, 0, 0, 0, 10, 0, -12, 0, 192, 0, -32, 0, 0, 0, -192, 0, -72, 0, -12, 0, 204, 0, 0, 0, 8, 0, 216, 0, -48, 0, -64, 0, 0, 0, -86, 0, -48, 0, 16, 0, -108, 0, 0, 0, -90, 0, -84, 0, -128, 0, -12, 0, 0, 0, -36, 0, 8, 0, -64, 0, -84, 0, 0, 0, 12, 0, 16, 0, 0, 0, 100, 0, 0, 0, -132, 0, 8, 0, -60, 0, -184, 0, 0, 0, -100, 0, 0, 0, 8, 0, -130, 0, 0, 0, 156, 0, 104, 0, 200, 0, -20, 0, 0, 0, 52, 0, 74, 0, -136, 0, -60, 0, 0, 0, -20, 0, 22, 0, -4, 0, -88, 0, 0, 0, 66, 0, -20, 0, -220, 0, -82, 0, 0, 0, 192, 0, -76, 0, 90, 0, 236, 0, 0, 0, -72, 0, 32, 0, 16, 0, 104, 0, 0, 0, -92, 0, -88, 0, 284, 0, -4, 0, 0, 0, -36, 0, 8, 0, -212, 0, -62, 0, 0, 0, -96, 0, -140, 0, 4, 0, 46, 0, 0, 0, -136, 0, 50, 0, -16, 0, -40, 0, 0, 0, 208, 0, 68, 0, -72, 0, 136, 0, 0, 0, -100, 0, -32, 0, 124, 0, 42, 0, 0, 0, 84, 0, -176, 0, -28, 0, 44, 0, 0, 0, 76, 0, 254, 0, -34, 0, 20, 0, 0, 0, -4, 0, 48, 0, -176, 0, -40, 0, 0, 0, 174, 0, -120, 0, -180, 0, -92, 0, 0, 0, -72, 0, -4, 0, -316, 0, 88, 0, 0, 0, 60, 0, 212, 0, -78, 0, 104, 0, 0, 0, 72, 0, 206, 0, 60, 0, 24, 0, 0, 0, -4, 0, 40, 0, -88, 0, 100, 0, 0, 0, 40, 0, 360, 0, 156, 0, -62, 0, 0, 0, 164, 0, -240, 0, 256, 0, 204, 0, 0, 0, 282, 0, 40, 0, -24, 0, 180, 0, 0, 0, -130, 0, -20, 0, 64, 0, -56, 0, 0, 0, 48, 0, -220, 0, 404, 0, -134, 0, 0, 0, 48, 0, 0, 0, 60, 0, -44, 0, 0, 0, 150, 0, 280, 0, 48, 0, 116, 0, 0, 0, -94, 0, 92, 0, 96, 0, -112, 0, 0, 0, 140, 0, 32, 0, 148, 0, -224, 0, 0, 0, 52, 0, -48, 0, 16, 0, -4, 0, 0, 0, 2, 0, -236, 0, 100, 0, -128, 0, 0, 0, 44, 0, -76, 0, 108, 0, -28, 0, 0, 0, -32, 0, 48, 0, 38, 0, 128, 0, 0, 0, -84, 0, -12, 0, 132, 0, -92, 0, 0, 0, 224, 0, 128, 0, -432, 0, -12, 0, 0, 0, -12, 0, -232, 0, 172, 0, -192, 0, 0, 0, 52, 0, -116, 0, -38, 0, 16, 0, 0, 0, 8, 0, 12, 0, -28, 0, 120, 0, 0, 0, -58, 0, -432, 0, -420, 0, 100, 0, 0, 0, 68, 0, -16, 0, 228, 0, -12, 0, 0, 0, -224, 0, -168, 0, -118, 0, -116, 0, 0, 0, -4, 0, -312, 0, -258, 0, -20, 0, 0, 0, 136, 0, -60, 0, -128, 0, -164, 0, 0, 0, 92, 0, -64, 0, -92, 0, 274, 0, 0, 0, -116, 0, -12, 0, 22, 0, -284, 0, 0, 0, -128, 0, 288, 0, -338, 0, -36, 0, 0, 0, 52, 0, -6, 0, 64, 0, -84, 0, 0, 0, 28, 0, -20, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1212707
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '4600.2.a.u', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '4600.2.a.q', 'target_level': 4600, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1212708
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '4600.2.a.u', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '4600.2.a.u', 'target_level': 4600, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1212709
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '4600.2.a.u', 'source_level': 4600, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4600.2.e.l', 'target_level': 4600, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1212710
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '4600.2.a.u', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '9200.2.a.bn', 'target_level': 9200, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1212711
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '4600.2.a.u', 'source_level': 4600, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '9200.2.a.bz', 'target_level': 9200, 'twist_class_label': '4600.2.a.q', 'twist_class_level': 4600, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3646725
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992580968952, 'p': 2}
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id: 3646726
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 3}
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id: 3646727
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992580968952, 'p': 5}
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id: 3646728
{'charpoly_factorization': [[[-1, 4, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 7}
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id: 3646729
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 90071992580968952, 'p': 11}
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id: 3646730
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 13}
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id: 3646731
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 17}
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id: 3646732
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 90071992580968952, 'p': 19}
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id: 3646733
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 90071992580968952, 'p': 23}
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id: 3646734
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 29}
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id: 3646735
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 31}
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id: 3646736
{'charpoly_factorization': [[[76, -18, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 37}
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id: 3646737
{'charpoly_factorization': [[[-71, -6, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 41}
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id: 3646738
{'charpoly_factorization': [[[29, -14, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 43}
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id: 3646739
{'charpoly_factorization': [[[-20, -10, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 47}
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id: 3646740
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 53}
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id: 3646741
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 59}
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id: 3646742
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 61}
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id: 3646743
{'charpoly_factorization': [[[-64, -8, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 67}
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id: 3646744
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 90071992580968952, 'p': 71}
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id: 3646745
{'charpoly_factorization': [[[5, 10, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 73}
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id: 3646746
{'charpoly_factorization': [[[-109, -8, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 79}
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id: 3646747
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 90071992580968952, 'p': 83}
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id: 3646748
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 90071992580968952, 'p': 89}
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id: 3646749
{'charpoly_factorization': [[[-100, 10, 1], 1]], 'hecke_orbit_code': 90071992580968952, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '4600.2.a.u', 'level': 4600, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64341823
{'hecke_orbit_code': 90071992580968952, 'n': 1, 'trace_an': 2}
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id: 64341824
{'hecke_orbit_code': 90071992580968952, 'n': 2, 'trace_an': 0}
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id: 64341825
{'hecke_orbit_code': 90071992580968952, 'n': 3, 'trace_an': 2}
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id: 64341826
{'hecke_orbit_code': 90071992580968952, 'n': 4, 'trace_an': 0}
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id: 64341827
{'hecke_orbit_code': 90071992580968952, 'n': 5, 'trace_an': 0}
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id: 64341828
{'hecke_orbit_code': 90071992580968952, 'n': 6, 'trace_an': 0}
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id: 64341829
{'hecke_orbit_code': 90071992580968952, 'n': 7, 'trace_an': -4}
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id: 64341830
{'hecke_orbit_code': 90071992580968952, 'n': 8, 'trace_an': 0}
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id: 64341831
{'hecke_orbit_code': 90071992580968952, 'n': 9, 'trace_an': 6}
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id: 64341832
{'hecke_orbit_code': 90071992580968952, 'n': 10, 'trace_an': 0}
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id: 64341833
{'hecke_orbit_code': 90071992580968952, 'n': 11, 'trace_an': 2}
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id: 64341834
{'hecke_orbit_code': 90071992580968952, 'n': 12, 'trace_an': 0}
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id: 64341835
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