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mf_newforms • Show schema
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{'Nk2': 896, 'analytic_conductor': 1.7886490052766806, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [224, 2, [127, 197, 129], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 113, 'conrey_indexes': [113], 'dim': 2, 'field_disc': -8, 'field_disc_factorization': [[-1, 1], [2, 3]], 'field_poly': [2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [2, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 68753031392, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '224.2.b.a', 'level': 224, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '56.2.b.a', 'nf_label': '2.0.8.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta q^{3}+\\beta q^{5}-q^{7}+q^{9}+2\\beta q^{11}+\\cdots', 'related_objects': ['ModularForm/GL2/TotallyReal/2.2.8.1/holomorphic/2.2.8.1-784.1-f', 'EllipticCurve/2.2.8.1/784.1/f'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '224.2.b', 'trace_display': [0, 0, 0, -2], 'trace_hash': 1642013494103202489, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.904', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.939', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '147.142', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.518', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -4, 0, -12, 0, 0, 0, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -8, 0, 12, 0, 0, 0, 0, 0, -2, 0, -12, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -16, 0, -10, 0, 0, 0, 0, 0, 8, 0, 12, 0, 0, 0, 0, 0, 12, 0, -20, 0, 0, 0, 0, 0, 8, 0, 4, 0, 0, 0, 0, 0, 24, 0, -24, 0, 0, 0, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, -4, 0, 24, 0, 0, 0, 0, 0, -16, 0, 12, 0, 0, 0, 0, 0, -24, 0, 8, 0, 0, 0, 0, 0, 20, 0, -12, 0, 0, 0, 0, 0, -16, 0, -12, 0, 0, 0, 0, 0, -48, 0, -10, 0, 0, 0, 0, 0, -6, 0, 4, 0, 0, 0, 0, 0, 36, 0, 24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 12, 0, 24, 0, 0, 0, 0, 0, 24, 0, -8, 0, 0, 0, 0, 0, 56, 0, 6, 0, 0, 0, 0, 0, 8, 0, 12, 0, 0, 0, 0, 0, -12, 0, -20, 0, 0, 0, 0, 0, 36, 0, -44, 0, 0, 0, 0, 0, 24, 0, -12, 0, 0, 0, 0, 0, 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-28, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 68, 0, -36, 0, 0, 0, 0, 0, -96, 0, 4, 0, 0, 0, 0, 0, 16, 0, -72, 0, 0, 0, 0, 0, -24, 0, 36, 0, 0, 0, 0, 0, -60, 0, -88, 0, 0, 0, 0, 0, 32, 0, 36, 0, 0, 0, 0, 0, 8, 0, 36, 0, 0, 0, 0, 0, 48, 0, 4, 0, 0, 0, 0, 0, 72, 0, 16, 0, 0, 0, 0, 0, -64, 0, 36, 0, 0, 0, 0, 0, -12, 0, -30, 0, 0, 0, 0, 0, 44, 0, -72, 0, 0, 0, 0, 0, -36, 0, -36, 0, 0, 0, 0, 0, 24, 0, -16, 0, 0, 0, 0, 0, 32, 0, -72, 0, 0, 0, 0, 0, 96, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [1, 0], [0, 0], [0, 2], [0, 0], [0, 3], [0, 0], [-2, 0], [0, 0], [-6, 0], [0, 0], [0, -3], [0, 0], [0, -1], [0, 0], [6, 0], [0, 0], [3, 0], [0, 0], [0, 4], [0, 0], [0, -2], [0, 0], [4, 0], [0, 0], [-4, 0], [0, 0], [0, -1], [0, 0], [0, -6], [0, 0], [-6, 0], [0, 0], [6, 0], [0, 0], [0, -6], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [1, 0], [0, 0], [0, -6], [0, 0], [0, 4], [0, 0], [-4, 0], [0, 0], [6, 0], [0, 0], [0, -1], [0, 0], [0, -9], [0, 0], [-1, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, 3], [0, 0], [0, -2], [0, 0], [-8, 0], [0, 0], [-5, 0], [0, 0], [0, 11], [0, 0], [0, -6], [0, 0], [4, 0], [0, 0], [6, 0], [0, 0], [0, -3], [0, 0], [0, 4], [0, 0], [6, 0], [0, 0], [-10, 0], [0, 0], [0, 2], [0, 0]], 'ap': [[0, 0], [0, 1], [0, 1], [-1, 0], [0, 2], [0, 3], [-6, 0], [0, -3], [6, 0], [0, -2], [4, 0], [0, -6], [6, 0], [0, -6], [0, 0], [0, 4], [0, -1], [0, -9], [0, 0], [0, 0], [2, 0], [-8, 0], [0, 11], [6, 0], [-10, 0], [0, 7], [4, 0], [0, -4], [0, 6], [-12, 0], [-2, 0], [0, -1], [6, 0], [0, -3], [0, -8], [10, 0], [0, -9], [0, 6], [-24, 0], [0, 7], [0, -4], [0, -9], [0, 0], [-4, 0], [0, 4], [-20, 0], [0, -12], [28, 0], [0, -7], [0, -3], [6, 0], [-6, 0], [-10, 0], [0, -13], [-6, 0], [-24, 0], [0, -5], [-20, 0], [0, 12], [-6, 0], [0, 9], [0, -17], [0, -9], [0, 0], [-10, 0], [0, 16], [0, 18], [32, 0], [0, -10], [0, -3], [6, 0], [30, 0], [28, 0], [0, 24], [0, 18], [24, 0], [0, -2], [0, -15], [-24, 0], [-22, 0], [0, -19], [0, -12], [6, 0], [2, 0], [28, 0], [0, -16], [-18, 0], [-28, 0], [0, -11], [-32, 0], [0, 5], [12, 0], [-2, 0], [0, -28], [0, 12], [-36, 0], [0, 1], [-6, 0], [0, -21], [0, 12], [0, -6], [0, 4], [0, -1], [0, 0], [0, 18], [38, 0], [0, 29], [-30, 0], [0, 0], [-10, 0], [-32, 0], [0, 6], [24, 0], [0, -3], [16, 0], [-48, 0], [0, 15], [-12, 0], [0, -26], [0, 2], [0, 27], [-46, 0], [0, 7], [0, -4], [0, -9], [0, -14], [0, 18], [-24, 0], [-8, 0], [0, -21], [0, 30], [30, 0], [22, 0], [0, -18], [30, 0], [14, 0], [0, -23], [0, -27], [0, 19], [12, 0], [0, 9], [0, 16], [-32, 0], [0, 32], [0, 15], [-12, 0], [0, -3], [42, 0], [0, -33], [-24, 0], [0, -30], [-18, 0], [0, -36], [-48, 0], [0, 24], [-30, 0], [16, 0], [18, 0], [2, 0], [0, 37], [0, 2], [18, 0], [22, 0], [0, 23], [-18, 0], [12, 0], [16, 0], [0, -15]], 'char_orbit_index': 2, 'field_poly': [2, 0, 1], 'hecke_orbit_code': 68753031392, 'hecke_ring_character_values': [[127, [1, 0]], [197, [-1, 0]], [129, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '224.2.b.a', 'level': 224, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 896, 'analytic_conductor': 1.7886490052766806, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [224, 2, [127, 197, 129], [2, 1, 2]], 'conrey_index': 113, 'cusp_dim': 24, 'dim': 6, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 68753031392, 'hecke_orbit_dims': [2, 4], 'label': '224.2.b', 'level': 224, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 40, 'mf_new_dim': 6, 'num_forms': 2, 'prim_orbit_index': 2, 'relative_dim': 6, 'sturm_bound': 64, 'trace_bound': 1, 'trace_display': [0, 0, 0, 2], 'traces': [6, 0, 0, 0, 0, 0, 2, 0, -6, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 8, 0, -2, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -32, 0, -8, 0, 0, 0, 0, 0, -10, 0, 16, 0, 0, 0, 0, 0, 32, 0, -20, 0, 0, 0, 0, 0, -16, 0, 14, 0, 0, 0, 0, 0, -32, 0, -20, 0, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 12, 0, 0, 0, 0, 0, 20, 0, 10, 0, 0, 0, 0, 0, -40, 0, 40, 0, 0, 0, 0, 0, 48, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, -28, 0, 0, 0, 0, 0, -48, 0, -16, 0, 0, 0, 0, 0, -80, 0, 14, 0, 0, 0, 0, 0, -14, 0, -8, 0, 0, 0, 0, 0, 40, 0, 32, 0, 0, 0, 0, 0, -64, 0, -36, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 88, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, -46, 0, 0, 0, 0, 0, 24, 0, -20, 0, 0, 0, 0, 0, -24, 0, -68, 0, 0, 0, 0, 0, 40, 0, 8, 0, 0, 0, 0, 0, 16, 0, 12, 0, 0, 0, 0, 0, -32, 0, 32, 0, 0, 0, 0, 0, -48, 0, 16, 0, 0, 0, 0, 0, -144, 0, -36, 0, 0, 0, 0, 0, -28, 0, -14, 0, 0, 0, 0, 0, 56, 0, -16, 0, 0, 0, 0, 0, -104, 0, 64, 0, 0, 0, 0, 0, -16, 0, -4, 0, 0, 0, 0, 0, 48, 0, -56, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 44, 0, 0, 0, 0, 0, 2, 0, 48, 0, 0, 0, 0, 0, -112, 0, 76, 0, 0, 0, 0, 0, 136, 0, 58, 0, 0, 0, 0, 0, 48, 0, -92, 0, 0, 0, 0, 0, -112, 0, 32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -80, 0, 72, 0, 0, 0, 0, 0, -32, 0, -68, 0, 0, 0, 0, 0, 16, 0, 60, 0, 0, 0, 0, 0, -88, 0, -72, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 24, 0, -4, 0, 0, 0, 0, 0, 64, 0, -6, 0, 0, 0, 0, 0, 144, 0, -68, 0, 0, 0, 0, 0, 40, 0, -36, 0, 0, 0, 0, 0, -64, 0, -160, 0, 0, 0, 0, 0, 56, 0, 8, 0, 0, 0, 0, 0, 16, 0, 64, 0, 0, 0, 0, 0, -56, 0, 72, 0, 0, 0, 0, 0, -96, 0, 32, 0, 0, 0, 0, 0, -160, 0, -16, 0, 0, 0, 0, 0, -28, 0, 96, 0, 0, 0, 0, 0, 120, 0, -100, 0, 0, 0, 0, 0, -32, 0, 6, 0, 0, 0, 0, 0, -80, 0, 40, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -64, 0, 16, 0, 0, 0, 0, 0, 96, 0, 80, 0, 0, 0, 0, 0, 34, 0, -4, 0, 0, 0, 0, 0, -24, 0, 140, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 112, 0, 12, 0, 0, 0, 0, 0, -16, 0, -52, 0, 0, 0, 0, 0, -96, 0, -48, 0, 0, 0, 0, 0, -144, 0, -20, 0, 0, 0, 0, 0, -44, 0, -58, 0, 0, 0, 0, 0, 112, 0, 72, 0, 0, 0, 0, 0, -64, 0, -68, 0, 0, 0, 0, 0, -32, 0, 72, 0, 0, 0, 0, 0, 72, 0, 52, 0, 0, 0, 0, 0, 80, 0, -16, 0, 0, 0, 0, 0, 96, 0, -116, 0, 0, 0, 0, 0, 36, 0, -8, 0, 0, 0, 0, 0, -152, 0, -96, 0, 0, 0, 0, 0, 104, 0, -104, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -16, 0, -96, 0, 0, 0, 0, 0, 96, 0, 16, 0, 0, 0, 0, 0, -80, 0, -30, 0, 0, 0, 0, 0, -8, 0, 104, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -40, 0, 168, 0, 0, 0, 0, 0, -64, 0, -4, 0, 0, 0, 0, 0, -40, 0, -100, 0, 0, 0, 0, 0, 144, 0, 16, 0, 0, 0, 0, 0, 128, 0, 176, 0, 0, 0, 0, 0, 60, 0, 80, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, -8, 0, 60, 0, 0, 0, 0, 0, -32, 0, -56, 0, 0, 0, 0, 0, -64, 0, -56, 0, 0, 0, 0, 0, -80, 0, -4, 0, 0, 0, 0, 0, -96, 0, 78, 0, 0, 0, 0, 0, -2, 0, -152, 0, 0, 0, 0, 0, 88, 0, 28, 0, 0, 0, 0, 0, -128, 0, -80, 0, 0, 0, 0, 0, -144, 0, -188, 0, 0, 0, 0, 0, -8, 0, 108, 0, 0, 0, 0, 0, -48, 0, -32, 0, 0, 0, 0, 0, 48, 0, -144, 0, 0, 0, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, 8, 0, -184, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 96, 0, 92, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -48, 0, 80, 0, 0, 0, 0, 0, -48, 0, -100, 0, 0, 0, 0, 0, -44, 0, 134, 0, 0, 0, 0, 0, 104, 0, -112, 0, 0, 0, 0, 0, 24, 0, 92, 0, 0, 0, 0, 0, 128, 0, 64, 0, 0, 0, 0, 0, 112, 0, -24, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 179289
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '56.2.b.a', 'target_level': 56, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179290
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '56.2.b.a', 'target_level': 56, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179291
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '224.2.b.a', 'target_level': 224, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 179292
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '224.2.b.a', 'target_level': 224, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179293
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.b.b', 'target_level': 392, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179294
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.b.b', 'target_level': 392, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 179295
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '392.2.p.a', 'target_level': 392, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 179296
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '392.2.p.a', 'target_level': 392, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 179297
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.p.b', 'target_level': 392, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 179298
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 16, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '392.2.p.b', 'target_level': 392, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 179299
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '504.2.c.a', 'target_level': 504, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179300
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '504.2.c.a', 'target_level': 504, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 179301
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1568.2.b.a', 'target_level': 1568, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179302
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1568.2.b.a', 'target_level': 1568, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 179303
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1568.2.t.b', 'target_level': 1568, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 179304
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1568.2.t.b', 'target_level': 1568, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 179305
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1568.2.t.c', 'target_level': 1568, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 179306
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1568.2.t.c', 'target_level': 1568, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 179307
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1792.2.a.n', 'target_level': 1792, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 179308
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1792.2.a.p', 'target_level': 1792, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 179309
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2016.2.c.a', 'target_level': 2016, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 179310
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '224.2.b.a', 'source_level': 224, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2016.2.c.a', 'target_level': 2016, 'twist_class_label': '56.2.b.a', 'twist_class_level': 56, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 534600
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 2}
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id: 534601
{'charpoly_factorization': [[[2, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 3}
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id: 534602
{'charpoly_factorization': [[[2, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 5}
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id: 534603
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 7}
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id: 534604
{'charpoly_factorization': [[[8, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 11}
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id: 534605
{'charpoly_factorization': [[[18, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 13}
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id: 534606
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 17}
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id: 534607
{'charpoly_factorization': [[[18, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 19}
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id: 534608
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 23}
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id: 534609
{'charpoly_factorization': [[[8, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 29}
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id: 534610
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 31}
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id: 534611
{'charpoly_factorization': [[[72, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 37}
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id: 534612
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 41}
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id: 534613
{'charpoly_factorization': [[[72, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 43}
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id: 534614
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 47}
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id: 534615
{'charpoly_factorization': [[[32, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 53}
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id: 534616
{'charpoly_factorization': [[[2, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 59}
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id: 534617
{'charpoly_factorization': [[[162, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 61}
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id: 534618
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 67}
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id: 534619
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 71}
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id: 534620
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 73}
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id: 534621
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 79}
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id: 534622
{'charpoly_factorization': [[[242, 0, 1], 1]], 'hecke_orbit_code': 68753031392, 'p': 83}
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id: 534623
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 89}
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id: 534624
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 68753031392, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '224.2.b.a', 'level': 224, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 17231000
{'hecke_orbit_code': 68753031392, 'n': 1, 'trace_an': 2}
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id: 17231001
{'hecke_orbit_code': 68753031392, 'n': 2, 'trace_an': 0}
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id: 17231002
{'hecke_orbit_code': 68753031392, 'n': 3, 'trace_an': 0}
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id: 17231003
{'hecke_orbit_code': 68753031392, 'n': 4, 'trace_an': 0}
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id: 17231004
{'hecke_orbit_code': 68753031392, 'n': 5, 'trace_an': 0}
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id: 17231005
{'hecke_orbit_code': 68753031392, 'n': 6, 'trace_an': 0}
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id: 17231006
{'hecke_orbit_code': 68753031392, 'n': 7, 'trace_an': -2}
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id: 17231007
{'hecke_orbit_code': 68753031392, 'n': 8, 'trace_an': 0}
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id: 17231008
{'hecke_orbit_code': 68753031392, 'n': 9, 'trace_an': 2}
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id: 17231009
{'hecke_orbit_code': 68753031392, 'n': 10, 'trace_an': 0}
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id: 17231010
{'hecke_orbit_code': 68753031392, 'n': 11, 'trace_an': 0}
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id: 17231011
{'hecke_orbit_code': 68753031392, 'n': 12, 'trace_an': 0}
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id: 17231012
{'hecke_orbit_code': 68753031392, 'n': 13, 'trace_an': 0}
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id: 17231013
{'hecke_orbit_code': 68753031392, 'n': 14, 'trace_an': 0}
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id: 17231014
{'hecke_orbit_code': 68753031392, 'n': 15, 'trace_an': -4}
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id: 17231015
{'hecke_orbit_code': 68753031392, 'n': 16, 'trace_an': 0}
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id: 17231016
{'hecke_orbit_code': 68753031392, 'n': 17, 'trace_an': -12}
-
id: 17231017
{'hecke_orbit_code': 68753031392, 'n': 18, 'trace_an': 0}
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id: 17231018
{'hecke_orbit_code': 68753031392, 'n': 19, 'trace_an': 0}
-
id: 17231019
{'hecke_orbit_code': 68753031392, 'n': 20, 'trace_an': 0}
-
id: 17231020
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