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mf_newforms • Show schema
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{'Nk2': 1656, 'analytic_conductor': 3.305806643681008, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [414, 1, [47, 235], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 0, 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': [[5, [-6, -2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777822, 'hecke_ring_generator_nbound': 5, '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': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '414.2.a.g', 'level': 414, '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, 23], 'level_radical': 138, 'minimal_twist': '414.2.a.e', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+(1+\\beta )q^{5}+2q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '414.2.a', 'trace_display': [2, 0, 2, 4], 'trace_hash': 2161901575515004953, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.914', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.310', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.113', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.146', 'prec': 17}, {'__RealLiteral__': 0, 'data': '62.352', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, 'traces': [2, 2, 0, 2, 2, 0, 4, 2, 0, 2, -2, 0, 0, 4, 0, 2, -4, 0, 6, 2, 0, -2, -2, 0, 6, 0, 0, 4, -8, 0, 8, 2, 0, -4, 4, 0, -2, 6, 0, 2, -12, 0, 6, -2, 0, -2, -12, 0, -6, 6, 0, 0, -2, 0, -16, 4, 0, -8, 0, 0, 6, 8, 0, 2, -28, 0, -14, -4, 0, 4, 12, 0, -4, -2, 0, 6, -4, 0, -4, 2, 0, -12, 22, 0, -32, 6, 0, -2, 0, 0, 0, -2, 0, -12, 20, 0, 8, -6, 0, 6, -8, 0, -24, 0, 0, -2, 22, 0, -10, -16, 0, 4, 8, 0, -2, -8, 0, 0, -8, 0, -6, 6, 0, 8, 24, 0, 0, 2, 0, -28, 12, 0, 12, -14, 0, -4, -12, 0, -8, 4, 0, 12, 28, 0, 20, -4, 0, -2, -26, 0, 24, 6, 0, -4, 36, 0, 2, -4, 0, 2, -4, 0, -12, -12, 0, 22, -4, 0, 30, -32, 0, 6, 0, 0, 12, -2, 0, 0, -20, 0, 26, 0, 0, -2, -44, 0, 32, -12, 0, 20, 4, 0, -44, 8, 0, -6, 12, 0, 28, 6, 0, -8, -16, 0, -12, -24, 0, 0, -20, 0, 12, -2, 0, 22, 20, 0, 16, -10, 0, -16, 56, 0, -8, 4, 0, 8, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, 0], [0, 0], [1, 0], [1, 1], [0, 0], [2, 0], [1, 0], [0, 0], [1, 1], [-1, -1], [0, 0], [0, -2], [2, 0], [0, 0], [1, 0], [-2, -2], [0, 0], [3, 1], [1, 1], [0, 0], [-1, -1], [-1, 0], [0, 0], [3, 2], [0, -2], [0, 0], [2, 0], [-4, 2], [0, 0], [4, 2], [1, 0], [0, 0], [-2, -2], [2, 2], [0, 0], [-1, -3], [3, 1], [0, 0], [1, 1], [-6, 0], [0, 0], [3, 1], [-1, -1], [0, 0], [-1, 0], [-6, 0], [0, 0], [-3, 0], [3, 2], [0, 0], [0, -2], [-1, -1], [0, 0], [-8, -2], [2, 0], [0, 0], [-4, 2], [0, 0], [0, 0], [3, 1], [4, 2], [0, 0], [1, 0], [-14, -2], [0, 0], [-7, 3], [-2, -2], [0, 0], [2, 2], [6, 0], [0, 0], [-2, 2], [-1, -3], [0, 0], [3, 1], [-2, -2], [0, 0], [-2, -4], [1, 1], [0, 0], [-6, 0], [11, -1], [0, 0], [-16, -4], [3, 1], [0, 0], [-1, -1], [0, 0], [0, 0], [0, -4], [-1, 0], [0, 0], [-6, 0], [10, 4], [0, 0], [4, 2], [-3, 0], [0, 0], [3, 2]], 'ap': [[1, 0], [0, 0], [1, 1], [2, 0], [-1, -1], [0, -2], [-2, -2], [3, 1], [-1, 0], [-4, 2], [4, 2], [-1, -3], [-6, 0], [3, 1], [-6, 0], [-1, -1], [0, 0], [3, 1], [-7, 3], [6, 0], [-2, 2], [-2, -4], [11, -1], [0, 0], [4, 2], [-4, 2], [-12, -2], [11, -1], [-5, 5], [4, 4], [0, 4], [6, -6], [-6, 6], [-4, 0], [-13, -1], [12, -2], [1, -1], [-6, -2], [-2, -8], [0, -6], [-10, 2], [13, -1], [2, 2], [-22, 0], [6, 0], [14, 0], [6, -2], [-4, 6], [15, 3], [17, 3], [0, 0], [-24, 0], [0, -2], [23, -1], [-14, 4], [20, -4], [22, 4], [20, 0], [0, -2], [0, 0], [-3, 7], [19, -5], [14, -6], [8, 8], [0, -2], [-16, 2], [-10, 6], [-6, -8], [-10, 2], [2, 0], [-4, -4], [6, -6], [10, 8], [-19, 3], [-15, 7], [0, 12], [15, 3], [2, 0], [6, 6], [-6, -8], [-9, 3], [9, -5], [18, -6], [-24, -2], [-4, -12], [-4, 8], [-22, -4], [-16, -6], [6, 12], [0, -8], [-11, 1], [-32, 4], [0, -8], [6, -6], [-6, -14], [18, 6], [12, -6], [2, -10], [-13, -3], [10, -4], [22, 2], [13, -11], [-11, 13], [14, 2], [11, -3], [34, 2], [26, 2], [-30, 0], [-20, 4], [-6, 10], [20, -6], [5, 3], [-12, 0], [15, 1], [8, -6], [2, -10], [27, 1], [8, 8], [0, -6], [-15, -3], [25, -1], [-18, -2], [15, 3], [18, -6], [2, -6], [27, 3], [-31, 3], [-12, -12], [-2, -16], [3, 13], [0, 4], [-12, -12], [16, -10], [19, 5], [12, 0], [-12, -14], [-1, -1], [-47, -1], [17, -7], [12, 0], [14, -6], [24, 6], [-8, 2], [-9, -9], [-26, -4], [-12, 12], [6, -8], [-36, 0], [24, 4], [-32, -8], [-8, 2], [0, 12], [-2, 2], [6, 12], [-27, 7], [2, 2], [-34, 0], [6, 0], [-18, 4], [3, -9], [-18, -6], [-14, -14], [8, -6], [7, -5], [6, -6], [6, -6], [12, 10], [-30, 4]], 'char_orbit_index': 1, 'field_poly': [-7, 0, 1], 'hecke_orbit_code': 27021597797777822, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '414.2.a.g', 'level': 414, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 2, 2, 1, 2, 0, 1, 2], 'Nk2': 1656, 'analytic_conductor': 3.305806643681008, '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': [414, 1, [47, 235], [1, 1]], 'conrey_index': 1, 'cusp_dim': 65, 'dim': 10, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 33554846, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2], 'label': '414.2.a', 'level': 414, '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, 23], 'level_radical': 138, 'mf_dim': 80, 'mf_new_dim': 10, 'num_forms': 7, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 10, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [0, 0, -2, 4], 'traces': [10, 0, 0, 10, -2, 0, 4, 0, 0, 2, 10, 0, -4, -4, 0, 10, 8, 0, 2, -2, 0, -6, 0, 0, 18, 0, 0, 4, 0, 0, 16, 0, 0, -12, 32, 0, 2, 10, 0, 2, -16, 0, 6, 10, 0, -2, -8, 0, 10, 4, 0, -4, -18, 0, -16, -4, 0, -20, -8, 0, 6, 8, 0, 10, -12, 0, -22, 8, 0, 0, 0, 0, -16, -34, 0, 2, -24, 0, -28, -2, 0, -28, -34, 0, -60, 6, 0, -6, -12, 0, -24, 0, 0, 0, -8, 0, 8, -16, 0, 18, 52, 0, -32, 0, 0, -6, -18, 0, -18, 24, 0, 4, 36, 0, -2, 0, 0, -16, -8, 0, -10, -22, 0, 16, -12, 0, 32, 0, 0, -36, 48, 0, -24, -22, 0, -12, -40, 0, -24, 32, 0, 24, 12, 0, 12, 4, 0, 2, 30, 0, 32, 10, 0, 8, 56, 0, 42, -36, 0, 2, 4, 0, -36, -16, 0, 22, -16, 0, 38, -20, 0, 6, 24, 0, 12, 10, 0, 0, -4, 0, 30, 56, 0, -2, 20, 0, 84, -8, 0, 64, -36, 0, -36, -12, 0, 10, -40, 0, 68, 4, 0, 0, -8, 0, 4, 24, 0, -4, 28, 0, 0, -18, 0, 54, -104, 0, 48, -30, 0, -16, 0, 0, 0, -4, 0, 0, 26, 0, 94, 10, 0, -20, 20, 0, 0, -8, 0, -24, 56, 0, -8, 12, 0, 6, -2, 0, 28, 8, 0, -12, 22, 0, 6, 16, 0, 10, -40, 0, -32, -12, 0, -8, -40, 0, -44, 72, 0, -22, 48, 0, 104, 8, 0, 4, -42, 0, -8, 64, 0, 0, 36, 0, -18, 0, 0, 28, 56, 0, -2, 20, 0, -16, 6, 0, 24, -34, 0, -38, 0, 0, -8, -8, 0, 2, 52, 0, 4, -24, 0, 48, 8, 0, 16, 46, 0, -28, -80, 0, -52, -2, 0, -4, 4, 0, -180, -12, 0, -28, -16, 0, -24, -34, 0, 8, -24, 0, -68, -32, 0, -60, 40, 0, -88, 6, 0, 36, -52, 0, 40, -92, 0, -6, -44, 0, 64, -12, 0, 4, -44, 0, 38, -6, 0, -24, -12, 0, -4, 0, 0, -76, -16, 0, -126, -28, 0, 0, 64, 0, -14, -8, 0, 28, -40, 0, -80, 56, 0, 8, -30, 0, -4, -16, 0, 4, 0, 0, 108, -36, 0, 18, 40, 0, -160, 52, 0, 40, 72, 0, -68, -20, 0, -32, -80, 0, 0, 0, 0, -60, 46, 0, 34, 40, 0, -6, 32, 0, 48, -18, 0, 16, 44, 0, -136, -64, 0, -18, -2, 0, 32, 24, 0, 104, -36, 0, 4, -56, 0, 4, 0, 0, -12, 36, 0, 42, -64, 0, 0, -6, 0, -2, -32, 0, 56, 0, 0, -16, 54, 0, -24, 8, 0, -16, -124, 0, 6, -8, 0, -24, 24, 0, 172, 68, 0, -10, -84, 0, -16, -22, 0, -94, -4, 0, -88, -68, 0, 16, 80, 0, -60, -12, 0, 78, 44, 0, -4, 14, 0, 32, 32, 0, 24, 0, 0, -36, 32, 0, 48, 16, 0, -36, -88, 0, -86, 48, 0, 120, 32, 0, 10, -28, 0, -24, 64, 0, -112, -22, 0, 44, 42, 0, 104, 88, 0, -12, -12, 0, 64, -40, 0, -82, 60, 0, -16, 60, 0, -24, 2, 0, -44, 32, 0, -32, 42, 0, 116, 6, 0, 24, -80, 0, 74, 12, 0, 8, -20, 0, 128, -32, 0, 12, 104, 0, -16, 4, 0, 50, 32, 0, 96, 120, 0, 2, -24, 0, -16, 30, 0, 4, 8, 0, 64, 8, 0, 32, 46, 0, 48, 10, 0, 68, 0, 0, 38, -52, 0, 8, 12, 0, 46, 56, 0, -24, -88, 0, -2, -68, 0, 42, 60, 0, 16, -36, 0, -20, -80, 0, -4, -52, 0, 2, -8, 0, 158, 4, 0, -92, 0, 0, 136, 8, 0, -36, 76, 0, -56, -16, 0, -64, -106, 0, 158, 48, 0, 22, -112, 0, 20, -16, 0, 112, 48, 0, -64, 24, 0, 38, 54, 0, -40, -20, 0, -16, -40, 0, 148, -8, 0, 6, -44, 0, 112, 24, 0, -12, 104, 0, 72, 76, 0, 12, -6, 0, -112, 10, 0, -32, 24, 0, -118, -40, 0, 0, -8, 0, 32, -4, 0, -28, 0, 0, -64, -148, 0, 30, -88, 0, -12, 56, 0, -28, -52, 0, -78, 20, 0, -2, -4, 0, -124, 20, 0, -64, 64, 0, -76, -42, 0, 84, -152, 0, 32, -8, 0, -120, -24, 0, -74, 50, 0, 64, -20, 0, 16, -36, 0, 56, 48, 0, -8, -96, 0, -36, 138, 0, 224, -12, 0, 54, 100, 0, -64, 8, 0, 10, 116, 0, -186, -40, 0, -48, -56, 0, -92, -32, 0, 68, -38, 0, 32, 4, 0, 36, -92, 0, -48, 0, 0, 0, -4, 0, 128, -8, 0, 32, 40, 0, 28, 72, 0, 4, -68, 0, -128, 24, 0, 80, -18, 0, -80, 72, 0, -4, 136, 0, -160, 28, 0, 6, 112, 0, 6, 70, 0, 0, 50, 0, -188, -18, 0, -124, -22, 0, -12, -16, 0, 54, 36, 0, 100, -104, 0, 28, -56, 0, -180, 36, 0, 48, 8, 0, -52, -30, 0, -2, 80, 0, 16, -48, 0, -16, -28, 0, 16, 0, 0, -140, 56, 0, -96, -52, 0, 0, 72, 0, 56, -4, 0, -156, -128, 0, 52, -60, 0, 0, 84, 0, -106, 26, 0, -96, -148, 0, -148, -100, 0, 94, 96, 0, -172, 10, 0, 140, -80, 0, -178, -40, 0, -20, 64, 0, -30, 20, 0, -106, 0, 0, -140, 152, 0, 0, -226, 0, 12, -8, 0, -100, -116, 0, -128, 22, 0, -24, 0, 0, 208, 56, 0, -184, -104, 0, 58, -28, 0, -8, -116, 0, -24, 12, 0, 84, 130, 0, 80, 32, 0, 6, -96, 0, 44, -2, 0, 20, -68, 0, 204, 0, 0, 28, 2, 0, -72, 8, 0, -32, -64, 0, -32, -52, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 306605
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '414.2.a.g', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '414.2.a.e', 'target_level': 414, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 306606
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '414.2.a.g', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '414.2.a.g', 'target_level': 414, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 306607
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '414.2.a.g', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3312.2.a.v', 'target_level': 3312, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 306608
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '414.2.a.g', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '3312.2.a.z', 'target_level': 3312, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 306609
{'conductor': 69, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '414.2.a.g', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '9522.2.a.bb', 'target_level': 9522, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '69.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 306610
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '414.2.a.g', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '9522.2.a.bc', 'target_level': 9522, 'twist_class_label': '414.2.a.e', 'twist_class_level': 414, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 854175
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 2}
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id: 854176
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 3}
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id: 854177
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 5}
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id: 854178
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 7}
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id: 854179
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 11}
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id: 854180
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 13}
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id: 854181
{'charpoly_factorization': [[[-24, 4, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 17}
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id: 854182
{'charpoly_factorization': [[[2, -6, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 19}
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id: 854183
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 23}
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id: 854184
{'charpoly_factorization': [[[-12, 8, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 29}
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id: 854185
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 31}
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id: 854186
{'charpoly_factorization': [[[-62, 2, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 37}
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id: 854187
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 41}
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id: 854188
{'charpoly_factorization': [[[2, -6, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 43}
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id: 854189
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 47}
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id: 854190
{'charpoly_factorization': [[[-6, 2, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 53}
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id: 854191
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 59}
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id: 854192
{'charpoly_factorization': [[[2, -6, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 61}
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id: 854193
{'charpoly_factorization': [[[-14, 14, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 67}
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id: 854194
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 71}
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id: 854195
{'charpoly_factorization': [[[-24, 4, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 73}
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id: 854196
{'charpoly_factorization': [[[-108, 4, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 79}
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id: 854197
{'charpoly_factorization': [[[114, -22, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 83}
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id: 854198
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021597797777822, 'p': 89}
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id: 854199
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 27021597797777822, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '414.2.a.g', 'level': 414, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 45033103
{'hecke_orbit_code': 27021597797777822, 'n': 1, 'trace_an': 2}
-
id: 45033104
{'hecke_orbit_code': 27021597797777822, 'n': 2, 'trace_an': 2}
-
id: 45033105
{'hecke_orbit_code': 27021597797777822, 'n': 3, 'trace_an': 0}
-
id: 45033106
{'hecke_orbit_code': 27021597797777822, 'n': 4, 'trace_an': 2}
-
id: 45033107
{'hecke_orbit_code': 27021597797777822, 'n': 5, 'trace_an': 2}
-
id: 45033108
{'hecke_orbit_code': 27021597797777822, 'n': 6, 'trace_an': 0}
-
id: 45033109
{'hecke_orbit_code': 27021597797777822, 'n': 7, 'trace_an': 4}
-
id: 45033110
{'hecke_orbit_code': 27021597797777822, 'n': 8, 'trace_an': 2}
-
id: 45033111
{'hecke_orbit_code': 27021597797777822, 'n': 9, 'trace_an': 0}
-
id: 45033112
{'hecke_orbit_code': 27021597797777822, 'n': 10, 'trace_an': 2}
-
id: 45033113
{'hecke_orbit_code': 27021597797777822, 'n': 11, 'trace_an': -2}
-
id: 45033114
{'hecke_orbit_code': 27021597797777822, 'n': 12, 'trace_an': 0}
-
id: 45033115
{'hecke_orbit_code': 27021597797777822, 'n': 13, 'trace_an': 0}
-
id: 45033116
{'hecke_orbit_code': 27021597797777822, 'n': 14, 'trace_an': 4}
-
id: 45033117
{'hecke_orbit_code': 27021597797777822, 'n': 15, 'trace_an': 0}
-
id: 45033118
{'hecke_orbit_code': 27021597797777822, 'n': 16, 'trace_an': 2}
-
id: 45033119
{'hecke_orbit_code': 27021597797777822, 'n': 17, 'trace_an': -4}
-
id: 45033120
{'hecke_orbit_code': 27021597797777822, 'n': 18, 'trace_an': 0}
-
id: 45033121
{'hecke_orbit_code': 27021597797777822, 'n': 19, 'trace_an': 6}
-
id: 45033122
{'hecke_orbit_code': 27021597797777822, 'n': 20, 'trace_an': 2}
-
id: 45033123
{'hecke_orbit_code': 27021597797777822, 'n': 21, 'trace_an': 0}
-
id: 45033124
{'hecke_orbit_code': 27021597797777822, 'n': 22, 'trace_an': -2}
-
id: 45033125
{'hecke_orbit_code': 27021597797777822, 'n': 23, 'trace_an': -2}
-
id: 45033126
{'hecke_orbit_code': 27021597797777822, 'n': 24, 'trace_an': 0}
-
id: 45033127
{'hecke_orbit_code': 27021597797777822, 'n': 25, 'trace_an': 6}
-
id: 45033128
{'hecke_orbit_code': 27021597797777822, 'n': 26, 'trace_an': 0}
-
id: 45033129
{'hecke_orbit_code': 27021597797777822, 'n': 27, 'trace_an': 0}
-
id: 45033130
{'hecke_orbit_code': 27021597797777822, 'n': 28, 'trace_an': 4}
-
id: 45033131
{'hecke_orbit_code': 27021597797777822, 'n': 29, 'trace_an': -8}
-
id: 45033132
{'hecke_orbit_code': 27021597797777822, 'n': 30, 'trace_an': 0}
-
id: 45033133
{'hecke_orbit_code': 27021597797777822, 'n': 31, 'trace_an': 8}
-
id: 45033134
{'hecke_orbit_code': 27021597797777822, 'n': 32, 'trace_an': 2}
-
id: 45033135
{'hecke_orbit_code': 27021597797777822, 'n': 33, 'trace_an': 0}
-
id: 45033136
{'hecke_orbit_code': 27021597797777822, 'n': 34, 'trace_an': -4}
-
id: 45033137
{'hecke_orbit_code': 27021597797777822, 'n': 35, 'trace_an': 4}
-
id: 45033138
{'hecke_orbit_code': 27021597797777822, 'n': 36, 'trace_an': 0}
-
id: 45033139
{'hecke_orbit_code': 27021597797777822, 'n': 37, 'trace_an': -2}
-
id: 45033140
{'hecke_orbit_code': 27021597797777822, 'n': 38, 'trace_an': 6}
-
id: 45033141
{'hecke_orbit_code': 27021597797777822, 'n': 39, 'trace_an': 0}
-
id: 45033142
{'hecke_orbit_code': 27021597797777822, 'n': 40, 'trace_an': 2}
-
id: 45033143
{'hecke_orbit_code': 27021597797777822, 'n': 41, 'trace_an': -12}
-
id: 45033144
{'hecke_orbit_code': 27021597797777822, 'n': 42, 'trace_an': 0}
-
id: 45033145
{'hecke_orbit_code': 27021597797777822, 'n': 43, 'trace_an': 6}
-
id: 45033146
{'hecke_orbit_code': 27021597797777822, 'n': 44, 'trace_an': -2}
-
id: 45033147
{'hecke_orbit_code': 27021597797777822, 'n': 45, 'trace_an': 0}
-
id: 45033148
{'hecke_orbit_code': 27021597797777822, 'n': 46, 'trace_an': -2}
-
id: 45033149
{'hecke_orbit_code': 27021597797777822, 'n': 47, 'trace_an': -12}
-
id: 45033150
{'hecke_orbit_code': 27021597797777822, 'n': 48, 'trace_an': 0}
-
id: 45033151
{'hecke_orbit_code': 27021597797777822, 'n': 49, 'trace_an': -6}
-
id: 45033152
{'hecke_orbit_code': 27021597797777822, 'n': 50, 'trace_an': 6}
-
id: 45033153
{'hecke_orbit_code': 27021597797777822, 'n': 51, 'trace_an': 0}
-
id: 45033154
{'hecke_orbit_code': 27021597797777822, 'n': 52, 'trace_an': 0}
-
id: 45033155
{'hecke_orbit_code': 27021597797777822, 'n': 53, 'trace_an': -2}
-
id: 45033156
{'hecke_orbit_code': 27021597797777822, 'n': 54, 'trace_an': 0}
-
id: 45033157
{'hecke_orbit_code': 27021597797777822, 'n': 55, 'trace_an': -16}
-
id: 45033158
{'hecke_orbit_code': 27021597797777822, 'n': 56, 'trace_an': 4}
-
id: 45033159
{'hecke_orbit_code': 27021597797777822, 'n': 57, 'trace_an': 0}
-
id: 45033160
{'hecke_orbit_code': 27021597797777822, 'n': 58, 'trace_an': -8}
-
id: 45033161
{'hecke_orbit_code': 27021597797777822, 'n': 59, 'trace_an': 0}
-
id: 45033162
{'hecke_orbit_code': 27021597797777822, 'n': 60, 'trace_an': 0}
-
id: 45033163
{'hecke_orbit_code': 27021597797777822, 'n': 61, 'trace_an': 6}
-
id: 45033164
{'hecke_orbit_code': 27021597797777822, 'n': 62, 'trace_an': 8}
-
id: 45033165
{'hecke_orbit_code': 27021597797777822, 'n': 63, 'trace_an': 0}
-
id: 45033166
{'hecke_orbit_code': 27021597797777822, 'n': 64, 'trace_an': 2}
-
id: 45033167
{'hecke_orbit_code': 27021597797777822, 'n': 65, 'trace_an': -28}
-
id: 45033168
{'hecke_orbit_code': 27021597797777822, 'n': 66, 'trace_an': 0}
-
id: 45033169
{'hecke_orbit_code': 27021597797777822, 'n': 67, 'trace_an': -14}
-
id: 45033170
{'hecke_orbit_code': 27021597797777822, 'n': 68, 'trace_an': -4}
-
id: 45033171
{'hecke_orbit_code': 27021597797777822, 'n': 69, 'trace_an': 0}
-
id: 45033172
{'hecke_orbit_code': 27021597797777822, 'n': 70, 'trace_an': 4}
-
id: 45033173
{'hecke_orbit_code': 27021597797777822, 'n': 71, 'trace_an': 12}
-
id: 45033174
{'hecke_orbit_code': 27021597797777822, 'n': 72, 'trace_an': 0}
-
id: 45033175
{'hecke_orbit_code': 27021597797777822, 'n': 73, 'trace_an': -4}
-
id: 45033176
{'hecke_orbit_code': 27021597797777822, 'n': 74, 'trace_an': -2}
-
id: 45033177
{'hecke_orbit_code': 27021597797777822, 'n': 75, 'trace_an': 0}
-
id: 45033178
{'hecke_orbit_code': 27021597797777822, 'n': 76, 'trace_an': 6}
-
id: 45033179
{'hecke_orbit_code': 27021597797777822, 'n': 77, 'trace_an': -4}
-
id: 45033180
{'hecke_orbit_code': 27021597797777822, 'n': 78, 'trace_an': 0}
-
id: 45033181
{'hecke_orbit_code': 27021597797777822, 'n': 79, 'trace_an': -4}
-
id: 45033182
{'hecke_orbit_code': 27021597797777822, 'n': 80, 'trace_an': 2}
-
id: 45033183
{'hecke_orbit_code': 27021597797777822, 'n': 81, 'trace_an': 0}
-
id: 45033184
{'hecke_orbit_code': 27021597797777822, 'n': 82, 'trace_an': -12}
-
id: 45033185
{'hecke_orbit_code': 27021597797777822, 'n': 83, 'trace_an': 22}
-
id: 45033186
{'hecke_orbit_code': 27021597797777822, 'n': 84, 'trace_an': 0}
-
id: 45033187
{'hecke_orbit_code': 27021597797777822, 'n': 85, 'trace_an': -32}
-
id: 45033188
{'hecke_orbit_code': 27021597797777822, 'n': 86, 'trace_an': 6}
-
id: 45033189
{'hecke_orbit_code': 27021597797777822, 'n': 87, 'trace_an': 0}
-
id: 45033190
{'hecke_orbit_code': 27021597797777822, 'n': 88, 'trace_an': -2}
-
id: 45033191
{'hecke_orbit_code': 27021597797777822, 'n': 89, 'trace_an': 0}
-
id: 45033192
{'hecke_orbit_code': 27021597797777822, 'n': 90, 'trace_an': 0}
-
id: 45033193
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