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mf_newforms • Show schema
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{'Nk2': 888, 'analytic_conductor': 1.7726789248724246, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [37, -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': [222, 1, [149, 187], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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, [4, 1]], [7, [-3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33554654, 'hecke_ring_generator_nbound': 1, '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': '222.2.a.a', 'level': 222, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 37], 'level_radical': 222, 'minimal_twist': '222.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}+3q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/222/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '222.2.a', 'trace_display': [-1, -1, -4, 3], 'trace_hash': 1865995475472492027, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.988', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.955', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.073', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.861', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [1, -1, -1, 1, -4, 1, 3, -1, 1, 4, 5, -1, 3, -3, 4, 1, 3, -1, -7, -4, -3, -5, 9, 1, 11, -3, -1, 3, 0, -4, -2, -1, -5, -3, -12, 1, 1, 7, -3, 4, 6, 3, 4, 5, -4, -9, -10, -1, 2, -11, -3, 3, 3, 1, -20, -3, 7, 0, -4, 4, -2, 2, 3, 1, -12, 5, 6, 3, -9, 12, -12, -1, 13, -1, -11, -7, 15, 3, -6, -4, 1, -6, 5, -3, -12, -4, 0, -5, 11, 4, 9, 9, 2, 10, 28, 1, 6, -2, 5, 11, 10, 3, -2, -3, 12, -3, -1, -1, -7, 20, -1, 3, -10, -7, -36, 0, 3, 4, 9, -4, 14, 2, -6, -2, -24, -3, 1, -1, -4, 12, 14, -5, -21, -6, 4, -3, -12, 9, 2, -12, 10, 12, 15, 1, 0, -13, -2, 1, -6, 11, -15, 7, 3, -15, 8, -3, 4, 6, -3, 4, 27, -1, -5, 6, 20, -5, -5, 3, -4, 12, -7, 4, -11, 0, 33, 5, 4, -11, -24, -4, -16, -9, 2, -9, -4, -2, 15, -10, -3, -28, 13, -1, 14, -6, 12, 2, -15, -5, 4, -11, -6, -10, 0, -3, -24, 2, 9, 3, -35, -12, 12, 3, 12, 1, -16, 1, -6, 7, -13, -20, 9, 1, -16, -3, 11, 10, -12, 7, -8, 36, 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1, 52, 12, 2, 2, 13, 8, -9, 30, -6, -2, -4, 21, -9, 12, -2, 24, 28, 5, 15, -3, -24, -40, -10, 10, 0, 60, -3, -23, -16, -45, -28, -22, 1, -21, 13, -12, 1, -12, -1, 32, 60, -19, 14, -7, -4, -22, -6, -3, -14, -42, 12, -60, -27, 0, 2, -16, 14, -14, -15, -6, -24, -30, -5, -6, 4, 12, 4, 32, -21, -30, -11, 11, -27, 65, -6, -108, 6, 19, -10, 51, 4, 0, 0, 0, -5, 20, -3, -28, 6, 9, -24, -1, -12, -27, 2, -55, 12, -34, 9, 29, 20, -21, 3, 6, 2, 20, -35, 2, 25, -32, -12, -29, 10, -15, 12, 16, 10, 42, 3, 17, -33, 9, 12, -49, 6, 28, 1, -11, 15, 19, -16, -18, 29, -6, 1, 44, -39, 8, -6, -30, 0, 18, 7, 6, 63, -72, -13, 22, -22, -19, -20, 0, -2, 31, 9, -16, -12, -50, 1, 3, 44, 5, -16, 70, -6, 96, -3, -27, 22, 0, 11, 9, -30, -12, 10, 64, -15, -1, -12, 10, 36, -40, 7, 25, 24, -8, -8, 42, 3, -50, 36, 4, 10, -36, -15, 11, -34, -2, 0, -46, 8, -14, -10, 24, -18, -60, -3, -58, -18, -10, 40, 6, 4, 54, -4, 12, -20, -6, 6, 39, 77, -34, -9, -44, -3, -52, -8, 0, -11, -36, 4, -27, -3, -1, 8, -56, 27, -4, -14, 21, 24, -12, -1, 6, -10, -33, -2, -45, -5, 55, -8, -7, -33, -30, 6, 60, 0, 30, -21, 36, 20, 4, 2, 20, 36, -16, -5, -39, 21, -1, 24], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [-1], [1], [-4], [1], [3], [-1], [1], [4], [5], [-1], [3], [-3], [4], [1], [3], [-1], [-7], [-4], [-3], [-5], [9], [1], [11], [-3], [-1], [3], [0], [-4], [-2], [-1], [-5], [-3], [-12], [1], [1], [7], [-3], [4], [6], [3], [4], [5], [-4], [-9], [-10], [-1], [2], [-11], [-3], [3], [3], [1], [-20], [-3], [7], [0], [-4], [4], [-2], [2], [3], [1], [-12], [5], [6], [3], [-9], [12], [-12], [-1], [13], [-1], [-11], [-7], [15], [3], [-6], [-4], [1], [-6], [5], [-3], [-12], [-4], [0], [-5], [11], [4], [9], [9], [2], [10], [28], [1], [6], [-2], [5], [11]], 'ap': [[-1], [-1], [-4], [3], [5], [3], [3], [-7], [9], [0], [-2], [1], [6], [4], [-10], [3], [-4], [-2], [6], [-12], [13], [-6], [5], [11], [6], [10], [-2], [-1], [-7], [-10], [1], [14], [-12], [2], [-6], [-15], [4], [-5], [-5], [-11], [-24], [-16], [13], [14], [-15], [4], [12], [-16], [-12], [-8], [-10], [-8], [8], [-10], [19], [6], [-19], [0], [21], [15], [-17], [19], [-4], [-24], [10], [34], [-20], [-27], [18], [34], [-18], [-26], [-13], [-28], [16], [-1], [14], [-4], [27], [-6], [-25], [-10], [-29], [39], [22], [12], [-22], [-24], [-10], [34], [18], [11], [10], [33], [-21], [-16], [15], [18], [-24], [-33], [3], [2], [-8], [5], [12], [10], [24], [-44], [-14], [-17], [-14], [-22], [-4], [10], [-32], [16], [-43], [25], [36], [40], [51], [37], [-7], [-42], [44], [16], [3], [-36], [32], [2], [-2], [12], [-40], [-23], [-22], [32], [-7], [-14], [32], [51], [0], [-1], [-27], [-34], [29], [-32], [-49], [-11], [19], [-6], [22], [0], [31], [-50], [-1], [-40], [-50], [-46], [-58], [6], [-6], [-44], [-4], [-12], [-45], [-30], [4], [-39]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33554654, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '222.2.a.a', 'level': 222, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [37, -1]], 1, 1], [[[2, -1], [3, 1], [37, 1]], 1, 1], [[[2, 1], [3, 1], [37, -1]], 2, 2], [[[2, 1], [3, -1], [37, 1]], 1, 1]], 'ALdims': [0, 2, 1, 0, 1, 0, 0, 1], 'Nk2': 888, 'analytic_conductor': 1.7726789248724246, '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': [222, 1, [149, 187], [1, 1]], 'conrey_index': 1, 'cusp_dim': 35, 'dim': 5, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33554654, 'hecke_orbit_dims': [1, 1, 1, 1, 1], 'label': '222.2.a', 'level': 222, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 37], 'level_radical': 222, 'mf_dim': 42, 'mf_new_dim': 5, 'num_forms': 5, 'plus_dim': 0, 'prim_orbit_index': 1, 'relative_dim': 5, 'sturm_bound': 76, 'trace_bound': 5, 'trace_display': [-1, -1, 2, 4], 'traces': [5, -1, -1, 5, 2, 1, 4, -1, 5, -2, 4, -1, 6, 0, 6, 5, 6, -1, -8, 2, -8, 4, 16, 1, 11, -6, -1, 4, -6, -6, -12, -1, 0, -18, -16, 5, 1, 0, -14, -2, -22, 0, 8, 4, 2, -12, 0, -1, -15, -31, -6, 6, 6, 1, -32, 0, -16, -2, -20, 6, -2, 4, 4, 5, -12, 4, 12, 6, 0, 16, 0, -1, 14, -1, 1, -8, 16, 10, -12, 2, 5, -10, 4, -8, 12, 8, 14, 4, 6, -2, 16, 16, -4, 0, 24, 1, 2, 7, 4, 11, 14, 6, 12, -6, 8, 10, -12, -1, -10, 32, -1, 4, 30, -4, -16, -6, 6, 20, 0, -6, -3, -14, -2, -12, -12, 0, 12, -1, -8, 12, 84, 0, 0, -4, 6, -18, 34, 8, -12, -16, 16, 24, -8, 5, 4, -10, -9, 1, -34, -1, -4, 0, 6, -16, -24, -14, 6, 44, -10, -2, 16, -1, 24, -22, 24, 20, -24, 0, -9, -12, -8, 8, -34, -6, 12, 4, -4, -18, -20, 2, -42, -8, 2, -12, -6, 20, -24, 0, -8, -24, 32, -1, 42, -18, -12, -15, -34, 4, -44, -31, 20, -14, -16, -6, -60, 12, 16, 6, -80, -8, -36, 6, 24, 4, -16, 1, -16, 42, -26, -32, 36, 5, -32, 0, 11, -6, -20, -16, -10, 16, -20, -2, 2, -6, 64, -20, -4, -12, -56, 6, 42, -21, -1, -2, -46, 10, 52, 4, -16, 12, 4, 4, 48, -16, 12, 5, 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-12, -40, -4, -80, 0, -20, -32, -23, 12, -18, -12, 36, -1, -16, -42, 8, -8, -72, -8, -10, 12, 50, -2, -24, 84, -24, 8, 0, 0, 1, 44, -20, 0, -4, -10, -16, -4, 52, 10, 28, 6, -42, 8, 50, -18, -28, 4, 8, 34, -2, -68, -80, 8, 32, 18, -2, -12, 34, 4, -32, -16, 0, -34, -12, 16, 124, 16, 4, 24, 38, 64, 4, -8, -32, -48, 144, 5, -22, -19, 46, 4, 48, 2, 28, -10, -12, 26, 116, -9, 64, 40, 6, 1, -22, 4, -48, -34, 20, -16, 72, -1, -42, 32, 12, -4, -86, 14, -28, 0, 8, -44, 0, 6, -26, -60, 12, -16, -86, 20, 60, -24, 0, 24, 16, -14, 113, 14, 48, 6, 6, 16, 20, 44, -20, 34, 16, -10, -10, -24, 0, -2, -6, 20, -16, 16, 48, 0, 88, -1, 8, 6, 32, 24, 2, -14, 72, -22, 14, 8, 52, 24, -10, 48, -48, 20, 104, -1, 24, -24, 0, -8, -40, 0, -10, 78, 1, -9, 86, -34, -24, -12, 4, 16, -36, -8, 164, 0, -38, 8, 68, -56, 68, -34, 16, 4, -72, -6, 12, 34, 78, 12, -30, 10, -4, 4, -48, 10, 0, -4, -34, -48, -12, -18, -56, 24, -96, -20, 8, 88, 40, 2, -24, -61, -42, -42, 70, 37, 4, -8, 5, 76, -48, 2, 14, -80, -2, -12, 72, -10, 12, -6, -8, -32, -16, 20, -52, 106, 4, -24, -48, -60, -16, 0, 20, 44, 80, -8, 46, -20, -40, -24, 50, 32, 16, 32, 12, 36, 0, -1, 58, 56, -46, 42, -82, 8, -116, -18, 0, 38, -48, -12, -24, -48, 14, -15, -20, 20, -44, -34, -8, 40, 16, 4, -36, 18, -44, -44, 90, -28, 24, -31, 6, -66, 48, 20, -128, -56, 78, -14, 46, -2, -124, -16, -40, 0, 40, -6, -48, -2, 16, -60, 22, -46, 52, 12, -80, 0, -116, 16, 38, 64, 10, 6, -42, 36, -64, -80, -4, -12, -40, -8, -77, 66, 10, -36, 46, 0, 24, 6, 32, -30, 8, 24, -138, 32, 24, 4, -106, -16, 72, -16, 24, 12, -112, 1, -12, -50, -19, -16, 48, -28, -96, 42, 2, 64, -96, -26, -130, -12, 6, -32, -102, 7, 32, 36, -56, -52, -80, 5, -20, 20, 4, -32, 64, -50, 136, 0, -44, 42, -40, 11, -12, -88, -48, -6, -20, -16, 24, -20, 14, 24, 40, -16, 68, -34, 36, -10, 32, 6, 12, 16, 44, 46, -48, -20, -1, -52, 12, -2, -6, 56, 8, 2, -24, 28, -120, -6, 66, 0, -74, 64, -18, 14, 16, -20, 8, -48, 20, -4, 124, 160, -38, -12, -54, 10, 16, -56, -24, -68, 16, 6, 5, -14, -12, 42, 20, 32, 52, -21, -12, -4, -44, -1, -24, 44, -50, -2, -58, -28, 72, -46, -10, 12, -16, 10, 52, 36, 40, 52, 32, 32, 28, 4, 48, 24, 8, -16, 86, -16, -1, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 178616
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '222.2.a.a', 'source_level': 222, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '222.2.a.a', 'target_level': 222, 'twist_class_label': '222.2.a.a', 'twist_class_level': 222, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 178617
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '222.2.a.a', 'source_level': 222, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '666.2.a.g', 'target_level': 666, 'twist_class_label': '222.2.a.a', 'twist_class_level': 222, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 178618
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '222.2.a.a', 'source_level': 222, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1776.2.a.f', 'target_level': 1776, 'twist_class_label': '222.2.a.a', 'twist_class_level': 222, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 178619
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '222.2.a.a', 'source_level': 222, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '5328.2.a.v', 'target_level': 5328, 'twist_class_label': '222.2.a.a', 'twist_class_level': 222, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 178620
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '222.2.a.a', 'source_level': 222, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '5550.2.a.bh', 'target_level': 5550, 'twist_class_label': '222.2.a.a', 'twist_class_level': 222, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 178621
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '222.2.a.a', 'source_level': 222, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '7104.2.a.m', 'target_level': 7104, 'twist_class_label': '222.2.a.a', 'twist_class_level': 222, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 178622
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '222.2.a.a', 'source_level': 222, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '7104.2.a.bb', 'target_level': 7104, 'twist_class_label': '222.2.a.a', 'twist_class_level': 222, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 178623
{'conductor': 37, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '222.2.a.a', 'source_level': 222, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '8214.2.a.i', 'target_level': 8214, 'twist_class_label': '222.2.a.a', 'twist_class_level': 222, 'twisting_char_label': '37.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 532150
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 2}
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id: 532151
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 3}
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id: 532152
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 5}
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id: 532153
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 7}
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id: 532154
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 11}
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id: 532155
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 13}
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id: 532156
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 17}
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id: 532157
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 19}
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id: 532158
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 23}
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id: 532159
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 29}
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id: 532160
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 31}
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id: 532161
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 37}
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id: 532162
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 41}
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id: 532163
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 43}
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id: 532164
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 47}
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id: 532165
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 53}
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id: 532166
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 59}
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id: 532167
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 61}
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id: 532168
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 67}
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id: 532169
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 71}
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id: 532170
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 73}
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id: 532171
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 79}
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id: 532172
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 83}
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id: 532173
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 89}
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id: 532174
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 33554654, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '222.2.a.a', 'level': 222, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 203000
{'hecke_orbit_code': 33554654, 'n': 1, 'trace_an': 1}
-
id: 203001
{'hecke_orbit_code': 33554654, 'n': 2, 'trace_an': -1}
-
id: 203002
{'hecke_orbit_code': 33554654, 'n': 3, 'trace_an': -1}
-
id: 203003
{'hecke_orbit_code': 33554654, 'n': 4, 'trace_an': 1}
-
id: 203004
{'hecke_orbit_code': 33554654, 'n': 5, 'trace_an': -4}
-
id: 203005
{'hecke_orbit_code': 33554654, 'n': 6, 'trace_an': 1}
-
id: 203006
{'hecke_orbit_code': 33554654, 'n': 7, 'trace_an': 3}
-
id: 203007
{'hecke_orbit_code': 33554654, 'n': 8, 'trace_an': -1}
-
id: 203008
{'hecke_orbit_code': 33554654, 'n': 9, 'trace_an': 1}
-
id: 203009
{'hecke_orbit_code': 33554654, 'n': 10, 'trace_an': 4}
-
id: 203010
{'hecke_orbit_code': 33554654, 'n': 11, 'trace_an': 5}
-
id: 203011
{'hecke_orbit_code': 33554654, 'n': 12, 'trace_an': -1}
-
id: 203012
{'hecke_orbit_code': 33554654, 'n': 13, 'trace_an': 3}
-
id: 203013
{'hecke_orbit_code': 33554654, 'n': 14, 'trace_an': -3}
-
id: 203014
{'hecke_orbit_code': 33554654, 'n': 15, 'trace_an': 4}
-
id: 203015
{'hecke_orbit_code': 33554654, 'n': 16, 'trace_an': 1}
-
id: 203016
{'hecke_orbit_code': 33554654, 'n': 17, 'trace_an': 3}
-
id: 203017
{'hecke_orbit_code': 33554654, 'n': 18, 'trace_an': -1}
-
id: 203018
{'hecke_orbit_code': 33554654, 'n': 19, 'trace_an': -7}
-
id: 203019
{'hecke_orbit_code': 33554654, 'n': 20, 'trace_an': -4}
-
id: 203020
{'hecke_orbit_code': 33554654, 'n': 21, 'trace_an': -3}
-
id: 203021
{'hecke_orbit_code': 33554654, 'n': 22, 'trace_an': -5}
-
id: 203022
{'hecke_orbit_code': 33554654, 'n': 23, 'trace_an': 9}
-
id: 203023
{'hecke_orbit_code': 33554654, 'n': 24, 'trace_an': 1}
-
id: 203024
{'hecke_orbit_code': 33554654, 'n': 25, 'trace_an': 11}
-
id: 203025
{'hecke_orbit_code': 33554654, 'n': 26, 'trace_an': -3}
-
id: 203026
{'hecke_orbit_code': 33554654, 'n': 27, 'trace_an': -1}
-
id: 203027
{'hecke_orbit_code': 33554654, 'n': 28, 'trace_an': 3}
-
id: 203028
{'hecke_orbit_code': 33554654, 'n': 29, 'trace_an': 0}
-
id: 203029
{'hecke_orbit_code': 33554654, 'n': 30, 'trace_an': -4}
-
id: 203030
{'hecke_orbit_code': 33554654, 'n': 31, 'trace_an': -2}
-
id: 203031
{'hecke_orbit_code': 33554654, 'n': 32, 'trace_an': -1}
-
id: 203032
{'hecke_orbit_code': 33554654, 'n': 33, 'trace_an': -5}
-
id: 203033
{'hecke_orbit_code': 33554654, 'n': 34, 'trace_an': -3}
-
id: 203034
{'hecke_orbit_code': 33554654, 'n': 35, 'trace_an': -12}
-
id: 203035
{'hecke_orbit_code': 33554654, 'n': 36, 'trace_an': 1}
-
id: 203036
{'hecke_orbit_code': 33554654, 'n': 37, 'trace_an': 1}
-
id: 203037
{'hecke_orbit_code': 33554654, 'n': 38, 'trace_an': 7}
-
id: 203038
{'hecke_orbit_code': 33554654, 'n': 39, 'trace_an': -3}
-
id: 203039
{'hecke_orbit_code': 33554654, 'n': 40, 'trace_an': 4}
-
id: 203040
{'hecke_orbit_code': 33554654, 'n': 41, 'trace_an': 6}
-
id: 203041
{'hecke_orbit_code': 33554654, 'n': 42, 'trace_an': 3}
-
id: 203042
{'hecke_orbit_code': 33554654, 'n': 43, 'trace_an': 4}
-
id: 203043
{'hecke_orbit_code': 33554654, 'n': 44, 'trace_an': 5}
-
id: 203044
{'hecke_orbit_code': 33554654, 'n': 45, 'trace_an': -4}
-
id: 203045
{'hecke_orbit_code': 33554654, 'n': 46, 'trace_an': -9}
-
id: 203046
{'hecke_orbit_code': 33554654, 'n': 47, 'trace_an': -10}
-
id: 203047
{'hecke_orbit_code': 33554654, 'n': 48, 'trace_an': -1}
-
id: 203048
{'hecke_orbit_code': 33554654, 'n': 49, 'trace_an': 2}
-
id: 203049
{'hecke_orbit_code': 33554654, 'n': 50, 'trace_an': -11}
-
id: 203050
{'hecke_orbit_code': 33554654, 'n': 51, 'trace_an': -3}
-
id: 203051
{'hecke_orbit_code': 33554654, 'n': 52, 'trace_an': 3}
-
id: 203052
{'hecke_orbit_code': 33554654, 'n': 53, 'trace_an': 3}
-
id: 203053
{'hecke_orbit_code': 33554654, 'n': 54, 'trace_an': 1}
-
id: 203054
{'hecke_orbit_code': 33554654, 'n': 55, 'trace_an': -20}
-
id: 203055
{'hecke_orbit_code': 33554654, 'n': 56, 'trace_an': -3}
-
id: 203056
{'hecke_orbit_code': 33554654, 'n': 57, 'trace_an': 7}
-
id: 203057
{'hecke_orbit_code': 33554654, 'n': 58, 'trace_an': 0}
-
id: 203058
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id: 203950
{'hecke_orbit_code': 33554654, 'n': 951, 'trace_an': -34}
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id: 203951
{'hecke_orbit_code': 33554654, 'n': 952, 'trace_an': -9}
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id: 203952
{'hecke_orbit_code': 33554654, 'n': 953, 'trace_an': -44}
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id: 203953
{'hecke_orbit_code': 33554654, 'n': 954, 'trace_an': -3}
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id: 203954
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id: 203955
{'hecke_orbit_code': 33554654, 'n': 956, 'trace_an': -8}
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id: 203956
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id: 203957
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id: 203958
{'hecke_orbit_code': 33554654, 'n': 959, 'trace_an': -36}
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id: 203959
{'hecke_orbit_code': 33554654, 'n': 960, 'trace_an': 4}
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id: 203960
{'hecke_orbit_code': 33554654, 'n': 961, 'trace_an': -27}
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id: 203961
{'hecke_orbit_code': 33554654, 'n': 962, 'trace_an': -3}
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id: 203962
{'hecke_orbit_code': 33554654, 'n': 963, 'trace_an': -1}
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id: 203963
{'hecke_orbit_code': 33554654, 'n': 964, 'trace_an': 8}
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id: 203964
{'hecke_orbit_code': 33554654, 'n': 965, 'trace_an': -56}
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id: 203965
{'hecke_orbit_code': 33554654, 'n': 966, 'trace_an': 27}
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id: 203966
{'hecke_orbit_code': 33554654, 'n': 967, 'trace_an': -4}
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id: 203967
{'hecke_orbit_code': 33554654, 'n': 968, 'trace_an': -14}
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id: 203968
{'hecke_orbit_code': 33554654, 'n': 969, 'trace_an': 21}
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id: 203969
{'hecke_orbit_code': 33554654, 'n': 970, 'trace_an': 24}
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id: 203970
{'hecke_orbit_code': 33554654, 'n': 971, 'trace_an': -12}
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id: 203971
{'hecke_orbit_code': 33554654, 'n': 972, 'trace_an': -1}
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id: 203972
{'hecke_orbit_code': 33554654, 'n': 973, 'trace_an': 6}
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id: 203973
{'hecke_orbit_code': 33554654, 'n': 974, 'trace_an': -10}
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id: 203974
{'hecke_orbit_code': 33554654, 'n': 975, 'trace_an': -33}
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id: 203975
{'hecke_orbit_code': 33554654, 'n': 976, 'trace_an': -2}
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id: 203976
{'hecke_orbit_code': 33554654, 'n': 977, 'trace_an': -45}
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id: 203977
{'hecke_orbit_code': 33554654, 'n': 978, 'trace_an': -5}
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id: 203978
{'hecke_orbit_code': 33554654, 'n': 979, 'trace_an': 55}
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id: 203979
{'hecke_orbit_code': 33554654, 'n': 980, 'trace_an': -8}
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id: 203980
{'hecke_orbit_code': 33554654, 'n': 981, 'trace_an': -7}
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id: 203981
{'hecke_orbit_code': 33554654, 'n': 982, 'trace_an': -33}
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id: 203982
{'hecke_orbit_code': 33554654, 'n': 983, 'trace_an': -30}
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id: 203983
{'hecke_orbit_code': 33554654, 'n': 984, 'trace_an': 6}
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id: 203984
{'hecke_orbit_code': 33554654, 'n': 985, 'trace_an': 60}
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id: 203985
{'hecke_orbit_code': 33554654, 'n': 986, 'trace_an': 0}
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id: 203986
{'hecke_orbit_code': 33554654, 'n': 987, 'trace_an': 30}
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id: 203987
{'hecke_orbit_code': 33554654, 'n': 988, 'trace_an': -21}
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id: 203988
{'hecke_orbit_code': 33554654, 'n': 989, 'trace_an': 36}
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id: 203989
{'hecke_orbit_code': 33554654, 'n': 990, 'trace_an': 20}
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id: 203990
{'hecke_orbit_code': 33554654, 'n': 991, 'trace_an': 4}
-
id: 203991
{'hecke_orbit_code': 33554654, 'n': 992, 'trace_an': 2}
-
id: 203992
{'hecke_orbit_code': 33554654, 'n': 993, 'trace_an': 20}
-
id: 203993
{'hecke_orbit_code': 33554654, 'n': 994, 'trace_an': 36}
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id: 203994
{'hecke_orbit_code': 33554654, 'n': 995, 'trace_an': -16}
-
id: 203995
{'hecke_orbit_code': 33554654, 'n': 996, 'trace_an': -5}
-
id: 203996
{'hecke_orbit_code': 33554654, 'n': 997, 'trace_an': -39}
-
id: 203997
{'hecke_orbit_code': 33554654, 'n': 998, 'trace_an': 21}
-
id: 203998
{'hecke_orbit_code': 33554654, 'n': 999, 'trace_an': -1}
-
id: 203999
{'hecke_orbit_code': 33554654, 'n': 1000, 'trace_an': 24}