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mf_newforms • Show schema
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{'Nk2': 152, 'analytic_conductor': 0.30343152768086545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [38, 9, [21], [8]], 'cm_discs': [], 'conrey_index': 5, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461414, 'hecke_ring_generator_nbound': 2, '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, 19, 5, 1, 9, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '38.2.e.a', 'level': 38, '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': True, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '38.2.e.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q-\\zeta_{18}q^{2}+(-\\zeta_{18}^{3}-\\zeta_{18}^{5})q^{3}+\\zeta_{18}^{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '38.2.e', 'trace_display': [0, -3, 0, -6], 'trace_hash': 1546651102957431095, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.839', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '97.023', 'prec': 20}, {'__RealLiteral__': 0, 'data': '5.037', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2661.456', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, 'traces': [6, 0, -3, 0, 0, -3, -6, -3, -3, 0, -6, 0, 12, 12, -6, 0, -12, -6, 18, 12, 24, 0, -12, -3, 0, 6, 3, -6, -18, 0, 6, 0, 3, -12, -12, -3, -12, -9, -12, 0, 3, -12, -6, 0, 6, 0, 30, 6, -15, 3, 21, -6, 24, 9, 18, 12, -24, 24, -3, -6, 6, 18, 12, -3, 12, 3, -9, -3, -6, -12, -18, 6, -30, -18, 0, -6, -12, -18, 6, 0, -33, 3, -6, 6, -24, 12, 18, -6, 0, 12, -12, 6, 6, -12, 0, 0, 3, 0, 21, 0, 0, 12, 6, -6, 48, 0, 21, 9, 12, -18, 6, -6, 0, 9, 0, -18, -12, 15, 36, -6, 3, -18, -6, 0, 36, -6, -54, 0, 3, 24, 6, 18, 42, -36, -36, 24, 15, 6, -15, -12, -30, 0, -30, 3, -24, -30, -51, 18, 18, -6, 12, -18, -30, 24, -36, 0, 18, 6, -6, -6, 24, 12, -24, 0, -12, -6, 18, -12, 48, 12, -21, 18, -18, 6, -12, -9, -6, -9, 6, -6, -24, 24, 12, 6, 36, 6, 84, 30, 24, 24, -12, 6, 84, -6, 0, 0, -6, 15, -18, 0, 9, -6, 12, -15, -12, -30, 0, -12, -18, -24, 0, -30, 12, -18, -12, 3, -24, -6, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, 0, 0, -1, 0, -1], [0, 0, 1, 0, 0, 0], [0, 2, 0, 0, -2, 0], [-1, 0, 0, 1, 1, 0], [-2, 0, -2, 2, 2, 2], [0, 0, 0, -1, 0, 0], [-1, -1, 1, 1, 0, -1], [0, 0, -2, 0, 0, 2], [0, 1, 1, -2, 1, 1], [0, 1, 0, 0, -1, -1], [2, -2, 0, 0, 0, 2], [2, 2, 0, 0, -2, -2], [0, -2, 0, -2, 0, 0], [0, 0, 0, 0, 1, 0], [-4, -1, 0, 4, 0, -4], [-1, 1, 1, 0, -1, 0], [4, -2, 1, -2, 0, -2], [2, 0, 0, 0, 0, 0], [4, 2, 4, 0, 0, 0], [1, 0, -1, -2, 2, -1], [-2, 0, 0, 0, -2, 0], [-1, 0, -1, 1, 0, 1], [0, 0, 0, 0, 0, 1], [2, -2, 2, -2, 0, 0], [0, 0, -3, 1, -3, 0], [-2, -2, -2, 2, 0, 2], [-2, -2, -4, -2, 4, 4], [0, 0, 2, 0, 2, 0], [2, 2, -4, -2, 2, 2], [0, 0, 0, 0, 0, -1], [0, 3, -1, 1, -3, 0], [-4, 4, 1, 4, -4, 0], [-4, 0, 4, 4, 4, 0], [0, 1, -1, -1, 0, 1], [-2, 4, 4, 0, -2, -2], [-2, -4, 2, 1, 2, 0], [-2, 2, 2, 0, 2, -4], [0, -2, 0, 0, 0, 0], [1, 0, -1, -1, 0, 0], [0, -4, -2, -4, 0, 0], [-2, 3, -2, 2, -3, 2], [-1, -1, 0, 2, 2, -2], [2, 0, -2, -2, 2, 2], [0, 2, 0, 0, 0, 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0, -2, -2, 0, 0], [2, 0, 0, -2, 0, 2], [-2, -4, -4, 0, -2, 6], [2, 4, -4, -4, -8, 4], [0, -1, -1, 0, 0, 1], [0, 0, 1, 1, 0, -1], [-4, 0, 4, 8, 5, 4], [4, -1, -5, -1, 4, 0], [0, -1, 0, 0, 1, 0]], 'ap': [[0, -1, 0, 0, 0, 0], [0, 0, 0, -1, 0, -1], [0, 2, 0, 0, -2, 0], [-2, 0, -2, 2, 2, 2], [0, 1, 1, -2, 1, 1], [2, -2, 0, 0, 0, 2], [-4, -1, 0, 4, 0, -4], [4, -2, 1, -2, 0, -2], [-2, 0, 0, 0, -2, 0], [-2, -2, -4, -2, 4, 4], [2, 2, -4, -2, 2, 2], [-2, 4, 4, 0, -2, -2], [1, 0, -1, -1, 0, 0], [-2, 3, -2, 2, -3, 2], [4, 4, 2, 2, -6, -2], [6, -4, 0, -4, 6, 0], [1, 2, -2, -3, 0, 3], [0, 2, 6, 2, 0, 0], [-3, -3, 6, 3, 0, -6], [-2, -4, 2, -2, 4, 2], [-3, 0, 3, -4, 4, -7], [0, 0, 0, 2, -6, 2], [-2, 4, -1, 2, -3, -3], [-4, -4, 0, 8, 8, -3], [0, 0, 1, 1, 0, -1], [2, 2, 0, -4, -4, -2], [0, -4, 6, 2, 6, -4], [7, -2, 4, -7, -2, -2], [2, 8, 0, 0, -8, -2], [0, -8, -8, 0, 5, 3], [-8, 10, 0, -2, -2, 6], [1, 8, 1, 0, 0, 0], [0, 5, -4, 5, 0, 0], [0, 5, 0, -5, -5, 10], [4, 0, -4, -2, -12, 2], [2, -14, -14, 0, 10, 4], [2, 4, -2, 2, -4, -2], [0, -4, 5, -8, 5, -4], [0, 6, 6, 6, 0, 0], [-2, -12, -4, -2, 0, 2], [0, -7, 12, 2, 12, -7], [-8, -8, 0, 8, 0, 0], [-2, -10, -10, 0, 2, 8], [12, 0, -12, 4, 5, 16], [-2, -14, 10, 2, 4, 4], [-6, -6, -8, 6, 0, 8], [-6, 9, 6, 12, 0, -12], [0, 2, 6, -6, -2, 0], [6, 5, 5, 0, -5, 0], [-8, 0, 0, 0, 8, -8], [-13, -4, -9, 9, 4, 13], [0, 10, -8, 0, -8, 10], [-7, 8, 0, -1, -1, -4], [8, -9, -8, -9, 8, 0], [17, 17, 4, -16, -1, -4], [-12, 0, 12, 16, -4, 4], [6, 0, -6, -4, 4, 2], [8, 6, -6, 6, -6, -8], [0, -12, 6, -4, 6, -12], [4, -1, 0, -1, 4, 0], [-5, -2, 6, 11, 0, -11], [0, 8, -16, 0, -16, 8], [-1, 0, 1, -14, -2, -15], [2, -16, 8, -2, 8, 8], [3, 3, -16, -8, 5, 16], [-6, -4, 0, 10, 10, 4], [0, 7, 11, -6, 11, 7], [7, 16, -1, 1, -16, -7], [-11, -6, -8, 8, 6, 11], [0, 8, -6, 0, -2, -2], [0, -5, 16, 0, 16, -5], [-12, 16, -14, -2, 0, 2], [12, -6, 0, -6, -6, -10], [2, 16, -4, -2, -12, -12], [0, 8, 8, 0, -16, 8], [-2, 0, 2, -10, 6, -12], [2, 2, 20, 4, -6, -20], [-2, -12, 4, 6, 0, -6], [9, 8, 12, 3, 0, -3], [-8, -8, -12, 17, -9, 12], [-1, -18, -18, 0, 20, -2], [10, 0, -10, -4, 4, 6], [6, -2, 0, -4, -4, 20], [4, 4, 14, 4, 4, 0], [0, -16, -14, -14, 0, 14], [-5, 12, 0, -7, -7, -12], [4, 3, 8, -4, -11, -11], [-4, -5, -5, 0, 1, 4], [-2, 4, 10, -10, -4, 2], [-14, -10, 4, 14, 6, 6], [0, -3, -4, -18, -4, -3], [-12, 12, 4, 12, -12, 0], [-10, 14, -28, 10, 14, 14], [0, 0, 0, 18, 5, 18], [14, -6, 15, -15, 6, -14], [2, 2, -8, 12, -14, 8], [-8, 6, 16, 6, -8, 0], [0, -8, -9, -16, -9, -8], [0, 0, 4, -12, 12, -4], [2, 2, 0, -8, 6, 0], [4, 6, 11, 6, 4, 0], [14, 10, 0, -24, -24, 6], [-14, -11, 17, 14, -6, -6], [-3, 12, 12, 0, 8, -20], [4, -5, -5, 0, -12, 17], [-16, -1, -3, 16, 4, 4], [-6, 1, -2, 4, 0, -4], [-1, 17, -20, 17, -1, 0], [10, 10, 16, 14, -24, -16], [-16, -5, 1, 16, 4, 4], [-16, -10, -10, 0, 14, -4], [-18, -8, 0, 0, 8, 18], [-4, -4, 0, -13, 17, 0], [0, -4, -2, 27, -2, -4], [2, 6, 4, 6, 2, 0], [-9, -16, -4, 4, 16, 9], [0, 0, 0, -17, 0, -17], [-14, 12, 12, 0, -16, 4], [-4, 0, 2, 4, -2, -2], [6, -16, 0, 10, 10, -1], [10, -6, -16, -6, 10, 0], [0, -28, 8, -17, 8, -28], [6, -20, 20, -6, 0, 0], [19, -14, -14, 0, 4, 10], [-19, 10, 0, 19, -10, -10], [2, -2, -2, -4, 0, 4], [-2, 16, 0, -14, -14, 12], [20, 0, -20, -12, -12, 8], [12, 4, 18, -18, -4, -12], [0, 12, -22, -14, -22, 12], [-28, 2, -25, 3, 0, -3], [-22, 18, -24, -2, 0, 2], [-4, -4, 34, 2, 2, -34], [-4, 0, 4, 10, 2, 6], [20, 13, 13, 0, -12, -1], [12, 12, 15, 4, -16, -15], [-6, 16, 0, -10, -10, 20], [0, 19, -9, -18, -9, 19], [-4, -18, -18, 0, -4, 22], [0, -13, 9, -4, 9, -13], [16, -12, 0, -4, -4, -32], [12, 0, -6, 0, 12, 0], [16, -28, 0, 12, 12, 0], [-6, -6, -10, -11, 17, 10], [14, -16, -8, -14, 24, 24], [20, 0, -20, -6, -26, 14], [14, 2, 24, 10, 0, -10], [3, 32, -1, -4, 0, 4], [17, -27, 6, -27, 17, 0], [0, -12, 2, 4, 2, -12], [-28, 0, 28, 28, 2, 0], [-20, 8, 15, 20, -23, -23], [29, 29, -2, -17, -12, 2], [2, 10, 0, -12, -12, 12], [-2, 22, -11, 11, -22, 2], [-34, 12, 12, 0, -4, -8], [36, 0, -10, -36, 10, 10], [5, -8, 16, 11, 0, -11], [3, -12, 0, 9, 9, -8], [-24, -24, -4, 6, 18, 4], [-16, 0, 16, 12, 20, -4], [7, 0, -7, -32, 20, -25], [0, -16, -16, -16, 0, 16], [17, -24, 21, 4, 0, -4], [0, 36, -17, 12, -17, 36], [18, -10, 14, -14, 10, -18], [14, 0, -14, -2, 26, 12], [-20, -20, 2, 22, -2, -2]], 'char_orbit_index': 5, 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'hecke_orbit_code': 274911461414, 'hecke_ring_character_values': [[21, [0, 0, 1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 6, 'label': '38.2.e.a', 'level': 38, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 152, 'analytic_conductor': 0.30343152768086545, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [38, 9, [21], [8]], 'conrey_index': 5, 'cusp_dim': 18, 'dim': 6, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 274911461414, 'hecke_orbit_dims': [6], 'label': '38.2.e', 'level': 38, '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': True, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 42, 'mf_new_dim': 6, 'num_forms': 1, 'prim_orbit_index': 5, 'relative_dim': 1, 'sturm_bound': 10, 'trace_bound': 0, 'trace_display': [0, -3, 0, -6], 'traces': [6, 0, -3, 0, 0, -3, -6, -3, -3, 0, -6, 0, 12, 12, -6, 0, -12, -6, 18, 12, 24, 0, -12, -3, 0, 6, 3, -6, -18, 0, 6, 0, 3, -12, -12, -3, -12, -9, -12, 0, 3, -12, -6, 0, 6, 0, 30, 6, 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36], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 30546
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '38.2.e.a', 'target_level': 38, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 30547
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '38.2.e.a', 'target_level': 38, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 30548
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '304.2.u.c', 'target_level': 304, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 30549
{'conductor': 76, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '304.2.u.c', 'target_level': 304, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '76.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 30550
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '342.2.u.c', 'target_level': 342, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 30551
{'conductor': 57, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 21, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '342.2.u.c', 'target_level': 342, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '57.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 30552
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '722.2.a.k', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 30553
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '722.2.a.l', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 30554
{'conductor': 19, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '722.2.c.k', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 30555
{'conductor': 19, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '722.2.c.l', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 30556
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '722.2.e.a', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 30557
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '722.2.e.a', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 30558
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '722.2.e.b', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 30559
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '722.2.e.b', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 30560
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '722.2.e.k', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 30561
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '722.2.e.k', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 30562
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '722.2.e.l', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 30563
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '722.2.e.l', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 30564
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '722.2.e.m', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 30565
{'conductor': 19, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '722.2.e.m', 'target_level': 722, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '19.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 30566
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 12, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '950.2.l.d', 'target_level': 950, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 30567
{'conductor': 95, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 12, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '950.2.l.d', 'target_level': 950, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '95.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 30568
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '950.2.u.b', 'target_level': 950, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 30569
{'conductor': 95, 'degree': 12, 'multiplicity': 2, 'order': 36, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '950.2.u.b', 'target_level': 950, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '95.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 30570
{'conductor': 76, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '5776.2.a.bn', 'target_level': 5776, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '76.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 30571
{'conductor': 76, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '5776.2.a.bo', 'target_level': 5776, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '76.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 30572
{'conductor': 57, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '6498.2.a.bl', 'target_level': 6498, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '57.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 30573
{'conductor': 57, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '38.2.e.a', 'source_level': 38, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '6498.2.a.bq', 'target_level': 6498, 'twist_class_label': '38.2.e.a', 'twist_class_level': 38, 'twisting_char_label': '57.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 133075
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 2}
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id: 133076
{'charpoly_factorization': [[[1, -3, 3, 8, 6, 3, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 3}
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id: 133077
{'charpoly_factorization': [[[64, 0, 0, 8, 0, 0, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 5}
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id: 133078
{'charpoly_factorization': [[[576, 0, 144, 48, 36, 6, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 7}
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id: 133079
{'charpoly_factorization': [[[361, -57, 123, 56, 33, 6, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 11}
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id: 133080
{'charpoly_factorization': [[[64, -96, 96, -64, 48, -12, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 13}
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id: 133081
{'charpoly_factorization': [[[12321, 11988, 4356, 753, 108, 12, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 17}
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id: 133082
{'charpoly_factorization': [[[6859, -6498, 3078, -883, 162, -18, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 19}
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id: 133083
{'charpoly_factorization': [[[64, 96, 192, 152, 60, 12, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 23}
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id: 133084
{'charpoly_factorization': [[[23104, 16416, 5616, 928, 144, 18, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 29}
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id: 133085
{'charpoly_factorization': [[[64, 192, 528, 160, 60, -6, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 31}
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id: 133086
{'charpoly_factorization': [[[-136, -24, 6, 1], 2]], 'hecke_orbit_code': 274911461414, 'p': 37}
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id: 133087
{'charpoly_factorization': [[[1, -6, 12, -8, 6, -3, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 41}
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id: 133088
{'charpoly_factorization': [[[289, 714, 786, 271, 42, 6, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 43}
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id: 133089
{'charpoly_factorization': [[[87616, -24864, 8736, -2368, 372, -30, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 47}
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id: 133090
{'charpoly_factorization': [[[18496, -21216, 11136, -2152, 276, -24, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 53}
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id: 133091
{'charpoly_factorization': [[[9, 0, -18, 24, 54, 3, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 59}
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id: 133092
{'charpoly_factorization': [[[23104, 1824, 1920, 512, -12, -6, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 61}
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id: 133093
{'charpoly_factorization': [[[6561, -6561, 729, 648, 162, 9, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 67}
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id: 133094
{'charpoly_factorization': [[[23104, 21888, 8352, 1664, 216, 18, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 71}
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id: 133095
{'charpoly_factorization': [[[3249, -5643, 4140, 645, 279, 30, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 73}
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id: 133096
{'charpoly_factorization': [[[18496, 3264, 3504, 8, -48, -6, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 79}
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id: 133097
{'charpoly_factorization': [[[2601, 1377, 1035, -60, 63, 6, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 83}
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id: 133098
{'charpoly_factorization': [[[962361, 141264, 4860, 315, 36, 0, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 89}
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id: 133099
{'charpoly_factorization': [[[1, 3, 3, -8, 6, -3, 1], 1]], 'hecke_orbit_code': 274911461414, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '38.2.e.a', 'level': 38, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 7431240
{'hecke_orbit_code': 274911461414, 'n': 1, 'trace_an': 6}
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id: 7431241
{'hecke_orbit_code': 274911461414, 'n': 2, 'trace_an': 0}
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id: 7431242
{'hecke_orbit_code': 274911461414, 'n': 3, 'trace_an': -3}
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id: 7431243
{'hecke_orbit_code': 274911461414, 'n': 4, 'trace_an': 0}
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id: 7431244
{'hecke_orbit_code': 274911461414, 'n': 5, 'trace_an': 0}
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id: 7431245
{'hecke_orbit_code': 274911461414, 'n': 6, 'trace_an': -3}
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id: 7431246
{'hecke_orbit_code': 274911461414, 'n': 7, 'trace_an': -6}
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id: 7431247
{'hecke_orbit_code': 274911461414, 'n': 8, 'trace_an': -3}
-
id: 7431248
{'hecke_orbit_code': 274911461414, 'n': 9, 'trace_an': -3}
-
id: 7431249
{'hecke_orbit_code': 274911461414, 'n': 10, 'trace_an': 0}
-
id: 7431250
{'hecke_orbit_code': 274911461414, 'n': 11, 'trace_an': -6}
-
id: 7431251
{'hecke_orbit_code': 274911461414, 'n': 12, 'trace_an': 0}
-
id: 7431252
{'hecke_orbit_code': 274911461414, 'n': 13, 'trace_an': 12}
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id: 7431253
{'hecke_orbit_code': 274911461414, 'n': 14, 'trace_an': 12}
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id: 7431254
{'hecke_orbit_code': 274911461414, 'n': 15, 'trace_an': -6}
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id: 7431255
{'hecke_orbit_code': 274911461414, 'n': 16, 'trace_an': 0}
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