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mf_newforms • Show schema
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{'Nk2': 2200, 'analytic_conductor': 4.391772111170421, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, -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': [550, 1, [177, 101], [1, 1]], 'cm_discs': [], 'conrey_index': 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': [[3, [-1, 1]], [7, [3, 1]], [13, [-6, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407462, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '550.2.a.f', 'level': 550, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '110.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-3q^{7}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/550/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '550.2.a', 'trace_display': [-1, 1, 0, -3], 'trace_hash': 302784965514392083, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.996', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.101', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.332', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.975', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [1, -1, 1, 1, 0, -1, -3, -1, -2, 0, 1, 1, 6, 3, 0, 1, 7, 2, 5, 0, -3, -1, 6, -1, 0, -6, -5, -3, 5, 0, -3, -1, 1, -7, 0, -2, -3, -5, 6, 0, 2, 3, -4, 1, 0, -6, 2, 1, 2, 0, 7, 6, 1, 5, 0, 3, 5, -5, -10, 0, 7, 3, 6, 1, 0, -1, -8, 7, 6, 0, 7, 2, -14, 3, 0, 5, -3, -6, 10, 0, 1, -2, 6, -3, 0, 4, 5, -1, -15, 0, -18, 6, -3, -2, 0, -1, 12, -2, -2, 0, 2, -7, -4, -6, 0, -1, -8, -5, -10, 0, -3, -3, 16, -5, 0, 5, -12, 10, -21, 0, 1, -7, 2, -3, 0, -6, -8, -1, -4, 0, 17, 1, -15, 8, 0, -7, 12, -6, -20, 0, 2, -7, 6, -2, 0, 14, 2, -3, 15, 0, 2, -5, -14, 3, 0, 6, -3, -10, 1, 0, -18, -1, -19, 2, 0, -6, -3, 3, 23, 0, -10, -4, -14, -5, 0, 1, -10, 15, 0, 0, 2, 18, 7, -6, 0, 3, 7, 2, 15, 0, 12, 1, 11, -12, 0, 2, 12, 2, -25, 0, -8, -2, -15, 7, 0, 4, -12, 6, 5, 0, -23, 1, 7, 8, 0, 5, 9, 10, -14, 0, 42, 3, 6, 3, 0, -16, 2, 5, 10, 0, -3, -5, -9, 12, 0, -10, 10, 21, 10, 0, -18, -1, 16, 7, 0, -2, 30, 3, 6, 0, 2, 6, 6, 8, 0, 1, 2, 4, 9, 0, -10, -17, -9, -1, 0, 15, -15, -8, -20, 0, -8, 7, -18, -12, 0, 6, 12, 20, 6, 0, -18, -2, 6, 7, 0, -6, -6, 2, 32, 0, 12, -14, 6, -2, 0, 3, -5, -15, 36, 0, 12, -2, 2, 5, 0, 14, 2, -3, -4, 0, -3, -6, 6, 3, 0, 10, 7, -1, 5, 0, -8, 18, 35, 1, 0, 19, -10, -2, -6, 0, -28, 6, 6, 3, 0, -3, 17, -23, 16, 0, -3, 10, 15, 4, 0, 14, -18, 5, 30, 0, -30, -1, -34, 10, 0, -15, -21, 0, -20, 0, 6, -2, 1, -18, 0, -7, -28, 6, -4, 0, -3, -3, 6, -7, 0, -2, 30, -15, -30, 0, -8, -12, -34, -1, 0, -11, 8, 12, -30, 0, 42, -2, 17, -12, 0, -2, 2, 25, -15, 0, -13, 8, -18, 2, 0, 15, -3, -7, -20, 0, 12, -4, 30, 12, 0, -6, -20, -5, 0, 0, 32, 23, -4, -1, 0, -7, -21, -8, 6, 0, -8, -5, 16, -9, 0, -10, 30, 14, 20, 0, -4, -42, -4, -3, 0, -6, 15, -3, -30, 0, 2, 16, 2, -2, 0, -5, -3, -10, -35, 0, 27, 3, -34, 5, 0, 9, -23, -12, 24, 0, -3, 10, -4, -10, 0, -21, -2, -10, 0, 0, -18, 18, -18, 1, 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0, -6, -12, 7, 24, 0, 17, 2, 2, -30, 0, 15, -38, 30, 6, 0, -18, 8, 30, 12, 0, 34, -60, 1, -10, 0, 2, 11, -19, -8, 0, -12, 9, 30, 10, 0, 7, -42, -25, 2, 0, -17, -28, 12, -9, 0, -48, 2, 42, -2, 0, -25, -18, 15, 14, 0, 30, 13, -14, -8, 0, 18, -20, -2, -30, 0, 7, -15, -8, 3, 0, 7, -20, 20, 36, 0, -18, -12, 16, 4, 0, -30, -8, -12, -20, 0, 12, 6, 14, 20, 0, 5, 15, 0, 0, 0, -4, -32, -18, -23, 0, 4, -3, 1, 6, 0, -18, 7, 26, 21, 0, 8, 7, -6, 30, 0, -6, 8, 6, 5, 0, -16, 32, 9, 10, 0, -48, 10, -24, -30, 0, -14, -38, -20, 6, 0, 2, 4, -9, 42, 0, 4, -8, 3, 24, 0, 1, 6, 10, -15, 0, 3, 36, 30, -15, 0, 7, -2, 12, -16, 0, -2, 57, 2, -4, 0, 27, 5, 6, 3, 0, 10, -51, 35, 40, 0, 2, -27, 42, -3, 0, 34, 8, -5, 35, 0, 10, -9, -3, 23, 0, 12, -38, -24, 6, 0, 17, 3, 12, -10, 0, 4, 27, 10, -84, 0, 7, 21, -39, 2, 0, 10, 5, 0, -36, 0, -22, 18, 16, -18, 0, 18, 27, -1, 35, 0, -48, 16, 60, -12, 0, 7, 12, 19, -15, 0, 20, 3, -54, -2, 0, -35, -6, 30, -24, 0, -8, 3, -28, 21, 0, 6, 32, -20, 15, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [0], [-1], [-3], [-1], [-2], [0], [1], [1], [6], [3], [0], [1], [7], [2], [5], [0], [-3], [-1], [6], [-1], [0], [-6], [-5], [-3], [5], [0], [-3], [-1], [1], [-7], [0], [-2], [-3], [-5], [6], [0], [2], [3], [-4], [1], [0], [-6], [2], [1], [2], [0], [7], [6], [1], [5], [0], [3], [5], [-5], [-10], [0], [7], [3], [6], [1], [0], [-1], [-8], [7], [6], [0], [7], [2], [-14], [3], [0], [5], [-3], [-6], [10], [0], [1], [-2], [6], [-3], [0], [4], [5], [-1], [-15], [0], [-18], [6], [-3], [-2], [0], [-1], [12], [-2], [-2], [0]], 'ap': [[-1], [1], [0], [-3], [1], [6], [7], [5], [6], [5], [-3], [-3], [2], [-4], [2], [1], [-10], [7], [-8], [7], [-14], [10], [6], [-15], [12], [2], [-4], [-8], [-10], [16], [-8], [17], [12], [-20], [15], [2], [-3], [-19], [-3], [-14], [0], [2], [12], [11], [12], [-25], [-23], [6], [2], [10], [-9], [10], [-18], [2], [2], [-9], [-20], [-8], [12], [-18], [6], [6], [2], [-3], [6], [7], [-28], [17], [-18], [30], [-34], [-20], [-28], [6], [-30], [-34], [-30], [2], [-13], [-20], [0], [32], [-8], [16], [20], [-4], [-30], [-3], [27], [-34], [-23], [0], [12], [-3], [20], [-24], [20], [22], [16], [-23], [-8], [-18], [6], [0], [27], [-38], [27], [-14], [45], [42], [47], [26], [-8], [20], [-33], [-33], [-19], [42], [31], [15], [2], [-29], [-28], [31], [-38], [7], [-10], [25], [22], [-24], [40], [21], [17], [-38], [-18], [-10], [-19], [-28], [-18], [-30], [7], [-18], [16], [-8], [-20], [0], [26], [7], [30], [6], [-38], [2], [-9], [-8], [57], [27], [40], [35], [-38], [17], [27], [-39], [27], [-48], [12], [-54], [-8], [32]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170407462, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '550.2.a.f', 'level': 550, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 2, 2, 2, 3, 1, 1, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [6, 10, 10, 7, 6, 11, 8, 6], 'Nk2': 2200, 'analytic_conductor': 4.391772111170421, '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': [550, 1, [177, 101], [1, 1]], 'conrey_index': 1, 'cusp_dim': 79, 'dim': 15, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33554982, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], 'label': '550.2.a', 'level': 550, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 102, 'mf_new_dim': 15, 'num_forms': 14, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 15, 'sturm_bound': 180, 'trace_bound': 13, 'trace_display': [1, 0, 0, -8], 'traces': [15, 1, 0, 15, 0, 4, -8, 1, 19, 0, 1, 0, -2, 8, 0, 15, 10, 13, -28, 0, 0, -1, 12, 4, 0, -10, 24, -8, 2, 0, -12, 1, 0, -10, 0, 19, -14, -4, -16, 0, 6, -8, -12, 1, 0, 0, -4, 0, -1, 0, 24, -2, -14, -8, 0, 8, 0, -2, 36, 0, -30, -8, -8, 15, 0, 4, -40, 10, 8, 0, -20, 13, 2, -14, 0, -28, -8, -8, -8, 0, -17, 10, 12, 0, 0, 0, 32, -1, -14, 0, -24, 12, 16, 8, 0, 4, 22, 25, -27, 0, 26, -16, 12, -10, 0, -14, 28, 24, -14, 0, -8, -8, -2, 24, 0, 2, -26, 4, 40, 0, 15, -18, -64, -12, 0, -32, 8, 1, -72, 0, 20, 0, 32, -52, 0, -10, -18, -48, 44, 0, -56, 8, 10, 19, 0, -10, 8, -14, -6, 0, 8, -4, -14, 0, 0, -16, -14, -48, -24, 0, -8, 25, 0, 6, 0, 40, 0, -8, -35, 0, -44, -12, -26, -32, 0, 1, -40, 42, 52, 0, -46, 32, -16, 0, 0, 24, -2, -4, -48, 0, 52, 0, -6, 14, 0, -1, 30, -13, -28, 0, 24, 22, -24, 24, 0, -32, -12, -2, 16, 0, 4, -14, 64, 24, 0, -8, 32, 14, 24, 0, 12, -32, 28, 8, 0, -18, -4, 0, -54, 0, -8, -2, -6, -34, 0, 36, 32, 48, 96, 0, -74, 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20, 32, 187, 0, -112, -16, -74, 88, 0, 0, 8, -86, -76, 0, 176, -48, 48, 24, 0, 10, -36, -2, -168, 0, -92, -4, 80, 44, 0, -48, -70, 100, -16, 0, 46, 0, 32, 52, 0, 104, -72, 0, 94, 0, 80, -6, -46, 160, 0, 14, 176, 54, 32, 0, 8, 0, -64, -1, 0, 152, -60, 30, -48, 0, 0, -13, 44, -254, 0, -28, -78, -64, 192, 0, 66, 34, -34, 24, 0, 60, -32, 22, -42, 0, 92, -24, -64, -10, 0, 24, 72, -54, -24, 0, 170, -48, 116, -32, 0, 96, -20, -12, -22, 0, 8, -2, -70, -64, 0, 16, 64, -12, 144, 0, 37, -10, -48, 4, 0, -40, -8, -14, 208, 0, -120, 64, 30, -128, 0, 24, -14, 0, -20, 0, 288, -40, -36, -8, 0, -34, -8, 32, 24, 0, 168, 14, 94, 68, 0, 24, -10, -16, 280, 0, 42, -11, 16, 12, 0, 36, -80, -32, 112, 0, -63, 28, 112, 128, 0, 8, 96, 18, 176, 0, 52, -2, -88, -18, 0, -64, 88, -4, 194, 0, 112, 0, 12, -74, 0, -54, -96, -16, 136, 0, 16, 6, 48, -8, 0, -120, 12, -2, 34, 0, -220, -6, 48, 20, 0, -34, -22, 32, -128, 0, 82, -32, 216, 36, 0, -52, -48, 32, -132, 0, 88, 48, -54, -102, 0, 96, -16, -48, -72, 0, -21, 20, 124, -74, 0, -96, -32, 1, -120, 0, -204, 72, 80, -144, 0, -30, 54, -16, 26, 0, 26, 36, -36, 56, 0, -180, -48, 32, -208, 0, 40, -8, 72, -16, 0, 104, 78, -52, -200, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 379159
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '110.2.a.b', 'target_level': 110, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 379160
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '550.2.a.f', 'target_level': 550, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 379161
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '550.2.b.a', 'target_level': 550, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 379162
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '880.2.a.i', 'target_level': 880, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 379163
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '990.2.a.d', 'target_level': 990, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 379164
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1210.2.a.b', 'target_level': 1210, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 379165
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3520.2.a.h', 'target_level': 3520, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 379166
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '3520.2.a.y', 'target_level': 3520, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 379167
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4400.2.a.l', 'target_level': 4400, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 379168
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4400.2.b.i', 'target_level': 4400, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 379169
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '4950.2.a.bc', 'target_level': 4950, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 379170
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '4950.2.c.m', 'target_level': 4950, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 379171
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '5390.2.a.bf', 'target_level': 5390, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 379172
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '6050.2.a.bj', 'target_level': 6050, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 379173
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '7920.2.a.d', 'target_level': 7920, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 379174
{'conductor': 220, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '550.2.a.f', 'source_level': 550, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9680.2.a.x', 'target_level': 9680, 'twist_class_label': '110.2.a.b', 'twist_class_level': 110, 'twisting_char_label': '220.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1035550
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 2}
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id: 1035551
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 3}
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id: 1035552
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 5}
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id: 1035553
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 7}
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id: 1035554
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 11}
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id: 1035555
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 13}
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id: 1035556
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 17}
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id: 1035557
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 19}
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id: 1035558
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 23}
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id: 1035559
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 29}
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id: 1035560
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 31}
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id: 1035561
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 37}
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id: 1035562
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 41}
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id: 1035563
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 43}
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id: 1035564
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 47}
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id: 1035565
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 53}
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id: 1035566
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 59}
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id: 1035567
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 61}
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id: 1035568
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 67}
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id: 1035569
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 71}
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id: 1035570
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 73}
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id: 1035571
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 79}
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id: 1035572
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 83}
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id: 1035573
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 89}
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id: 1035574
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 22517998170407462, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '550.2.a.f', 'level': 550, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 41810425
{'hecke_orbit_code': 22517998170407462, 'n': 1, 'trace_an': 1}
-
id: 41810426
{'hecke_orbit_code': 22517998170407462, 'n': 2, 'trace_an': -1}
-
id: 41810427
{'hecke_orbit_code': 22517998170407462, 'n': 3, 'trace_an': 1}
-
id: 41810428
{'hecke_orbit_code': 22517998170407462, 'n': 4, 'trace_an': 1}
-
id: 41810429
{'hecke_orbit_code': 22517998170407462, 'n': 5, 'trace_an': 0}
-
id: 41810430
{'hecke_orbit_code': 22517998170407462, 'n': 6, 'trace_an': -1}
-
id: 41810431
{'hecke_orbit_code': 22517998170407462, 'n': 7, 'trace_an': -3}
-
id: 41810432
{'hecke_orbit_code': 22517998170407462, 'n': 8, 'trace_an': -1}
-
id: 41810433
{'hecke_orbit_code': 22517998170407462, 'n': 9, 'trace_an': -2}
-
id: 41810434
{'hecke_orbit_code': 22517998170407462, 'n': 10, 'trace_an': 0}
-
id: 41810435
{'hecke_orbit_code': 22517998170407462, 'n': 11, 'trace_an': 1}
-
id: 41810436
{'hecke_orbit_code': 22517998170407462, 'n': 12, 'trace_an': 1}
-
id: 41810437
{'hecke_orbit_code': 22517998170407462, 'n': 13, 'trace_an': 6}
-
id: 41810438
{'hecke_orbit_code': 22517998170407462, 'n': 14, 'trace_an': 3}
-
id: 41810439
{'hecke_orbit_code': 22517998170407462, 'n': 15, 'trace_an': 0}
-
id: 41810440
{'hecke_orbit_code': 22517998170407462, 'n': 16, 'trace_an': 1}
-
id: 41810441
{'hecke_orbit_code': 22517998170407462, 'n': 17, 'trace_an': 7}
-
id: 41810442
{'hecke_orbit_code': 22517998170407462, 'n': 18, 'trace_an': 2}
-
id: 41810443
{'hecke_orbit_code': 22517998170407462, 'n': 19, 'trace_an': 5}
-
id: 41810444
{'hecke_orbit_code': 22517998170407462, 'n': 20, 'trace_an': 0}
-
id: 41810445
{'hecke_orbit_code': 22517998170407462, 'n': 21, 'trace_an': -3}
-
id: 41810446
{'hecke_orbit_code': 22517998170407462, 'n': 22, 'trace_an': -1}
-
id: 41810447
{'hecke_orbit_code': 22517998170407462, 'n': 23, 'trace_an': 6}
-
id: 41810448
{'hecke_orbit_code': 22517998170407462, 'n': 24, 'trace_an': -1}
-
id: 41810449
{'hecke_orbit_code': 22517998170407462, 'n': 25, 'trace_an': 0}
-
id: 41810450
{'hecke_orbit_code': 22517998170407462, 'n': 26, 'trace_an': -6}
-
id: 41810451
{'hecke_orbit_code': 22517998170407462, 'n': 27, 'trace_an': -5}
-
id: 41810452
{'hecke_orbit_code': 22517998170407462, 'n': 28, 'trace_an': -3}
-
id: 41810453
{'hecke_orbit_code': 22517998170407462, 'n': 29, 'trace_an': 5}
-
id: 41810454
{'hecke_orbit_code': 22517998170407462, 'n': 30, 'trace_an': 0}
-
id: 41810455
{'hecke_orbit_code': 22517998170407462, 'n': 31, 'trace_an': -3}
-
id: 41810456
{'hecke_orbit_code': 22517998170407462, 'n': 32, 'trace_an': -1}
-
id: 41810457
{'hecke_orbit_code': 22517998170407462, 'n': 33, 'trace_an': 1}
-
id: 41810458
{'hecke_orbit_code': 22517998170407462, 'n': 34, 'trace_an': -7}
-
id: 41810459
{'hecke_orbit_code': 22517998170407462, 'n': 35, 'trace_an': 0}
-
id: 41810460
{'hecke_orbit_code': 22517998170407462, 'n': 36, 'trace_an': -2}
-
id: 41810461
{'hecke_orbit_code': 22517998170407462, 'n': 37, 'trace_an': -3}
-
id: 41810462
{'hecke_orbit_code': 22517998170407462, 'n': 38, 'trace_an': -5}
-
id: 41810463
{'hecke_orbit_code': 22517998170407462, 'n': 39, 'trace_an': 6}
-
id: 41810464
{'hecke_orbit_code': 22517998170407462, 'n': 40, 'trace_an': 0}
-
id: 41810465
{'hecke_orbit_code': 22517998170407462, 'n': 41, 'trace_an': 2}
-
id: 41810466
{'hecke_orbit_code': 22517998170407462, 'n': 42, 'trace_an': 3}
-
id: 41810467
{'hecke_orbit_code': 22517998170407462, 'n': 43, 'trace_an': -4}
-
id: 41810468
{'hecke_orbit_code': 22517998170407462, 'n': 44, 'trace_an': 1}
-
id: 41810469
{'hecke_orbit_code': 22517998170407462, 'n': 45, 'trace_an': 0}
-
id: 41810470
{'hecke_orbit_code': 22517998170407462, 'n': 46, 'trace_an': -6}
-
id: 41810471
{'hecke_orbit_code': 22517998170407462, 'n': 47, 'trace_an': 2}
-
id: 41810472
{'hecke_orbit_code': 22517998170407462, 'n': 48, 'trace_an': 1}
-
id: 41810473
{'hecke_orbit_code': 22517998170407462, 'n': 49, 'trace_an': 2}
-
id: 41810474
{'hecke_orbit_code': 22517998170407462, 'n': 50, 'trace_an': 0}
-
id: 41810475
{'hecke_orbit_code': 22517998170407462, 'n': 51, 'trace_an': 7}
-
id: 41810476
{'hecke_orbit_code': 22517998170407462, 'n': 52, 'trace_an': 6}
-
id: 41810477
{'hecke_orbit_code': 22517998170407462, 'n': 53, 'trace_an': 1}
-
id: 41810478
{'hecke_orbit_code': 22517998170407462, 'n': 54, 'trace_an': 5}
-
id: 41810479
{'hecke_orbit_code': 22517998170407462, 'n': 55, 'trace_an': 0}
-
id: 41810480
{'hecke_orbit_code': 22517998170407462, 'n': 56, 'trace_an': 3}
-
id: 41810481
{'hecke_orbit_code': 22517998170407462, 'n': 57, 'trace_an': 5}
-
id: 41810482
{'hecke_orbit_code': 22517998170407462, 'n': 58, 'trace_an': -5}
-
id: 41810483
{'hecke_orbit_code': 22517998170407462, 'n': 59, 'trace_an': -10}
-
id: 41810484
{'hecke_orbit_code': 22517998170407462, 'n': 60, 'trace_an': 0}
-
id: 41810485
{'hecke_orbit_code': 22517998170407462, 'n': 61, 'trace_an': 7}
-
id: 41810486
{'hecke_orbit_code': 22517998170407462, 'n': 62, 'trace_an': 3}
-
id: 41810487
{'hecke_orbit_code': 22517998170407462, 'n': 63, 'trace_an': 6}
-
id: 41810488
{'hecke_orbit_code': 22517998170407462, 'n': 64, 'trace_an': 1}
-
id: 41810489
{'hecke_orbit_code': 22517998170407462, 'n': 65, 'trace_an': 0}
-
id: 41810490
{'hecke_orbit_code': 22517998170407462, 'n': 66, 'trace_an': -1}
-
id: 41810491
{'hecke_orbit_code': 22517998170407462, 'n': 67, 'trace_an': -8}
-
id: 41810492
{'hecke_orbit_code': 22517998170407462, 'n': 68, 'trace_an': 7}
-
id: 41810493
{'hecke_orbit_code': 22517998170407462, 'n': 69, 'trace_an': 6}
-
id: 41810494
{'hecke_orbit_code': 22517998170407462, 'n': 70, 'trace_an': 0}
-
id: 41810495
{'hecke_orbit_code': 22517998170407462, 'n': 71, 'trace_an': 7}
-
id: 41810496
{'hecke_orbit_code': 22517998170407462, 'n': 72, 'trace_an': 2}
-
id: 41810497
{'hecke_orbit_code': 22517998170407462, 'n': 73, 'trace_an': -14}
-
id: 41810498
{'hecke_orbit_code': 22517998170407462, 'n': 74, 'trace_an': 3}
-
id: 41810499
{'hecke_orbit_code': 22517998170407462, 'n': 75, 'trace_an': 0}
-
id: 41810500
{'hecke_orbit_code': 22517998170407462, 'n': 76, 'trace_an': 5}
-
id: 41810501
{'hecke_orbit_code': 22517998170407462, 'n': 77, 'trace_an': -3}
-
id: 41810502
{'hecke_orbit_code': 22517998170407462, 'n': 78, 'trace_an': -6}
-
id: 41810503
{'hecke_orbit_code': 22517998170407462, 'n': 79, 'trace_an': 10}
-
id: 41810504
{'hecke_orbit_code': 22517998170407462, 'n': 80, 'trace_an': 0}
-
id: 41810505
{'hecke_orbit_code': 22517998170407462, 'n': 81, 'trace_an': 1}
-
id: 41810506
{'hecke_orbit_code': 22517998170407462, 'n': 82, 'trace_an': -2}
-
id: 41810507
{'hecke_orbit_code': 22517998170407462, 'n': 83, 'trace_an': 6}
-
id: 41810508
{'hecke_orbit_code': 22517998170407462, 'n': 84, 'trace_an': -3}
-
id: 41810509
{'hecke_orbit_code': 22517998170407462, 'n': 85, 'trace_an': 0}
-
id: 41810510
{'hecke_orbit_code': 22517998170407462, 'n': 86, 'trace_an': 4}
-
id: 41810511
{'hecke_orbit_code': 22517998170407462, 'n': 87, 'trace_an': 5}
-
id: 41810512
{'hecke_orbit_code': 22517998170407462, 'n': 88, 'trace_an': -1}
-
id: 41810513
{'hecke_orbit_code': 22517998170407462, 'n': 89, 'trace_an': -15}
-
id: 41810514
{'hecke_orbit_code': 22517998170407462, 'n': 90, 'trace_an': 0}
-
id: 41810515
{'hecke_orbit_code': 22517998170407462, 'n': 91, 'trace_an': -18}
-
id: 41810516
{'hecke_orbit_code': 22517998170407462, 'n': 92, 'trace_an': 6}
-
id: 41810517
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