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mf_newforms • Show schema
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{'Nk2': 1792, 'analytic_conductor': 3.577298010553361, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 28, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [448, 2, [127, 197, 129], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 447, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 343630938560, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 28, 4, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '448.2.f.a', 'level': 448, '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, 7], 'level_radical': 14, 'minimal_twist': '112.2.f.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 4, 'qexp_display': 'q-2 q^{3}-2\\beta q^{5}+(-\\beta-2)q^{7}+q^{9}+\\cdots', 'related_objects': ['EllipticCurve/2.2.28.1/256.1/e', 'ModularForm/GL2/TotallyReal/2.2.28.1/holomorphic/2.2.28.1-256.1-e'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '448.2.f', 'trace_display': [0, -4, 0, -4], 'trace_hash': 1495384206941873694, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.933', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.276', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '151.936', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [2, 0, -4, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 8, 0, 0, 0, -14, 0, 8, 0, -12, 0, -16, 0, 0, 0, -12, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -12, 0, 24, 0, 8, 0, -12, 0, 0, 0, -4, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 12, 0, 0, 0, -22, 0, 12, 0, 0, 0, 24, 0, 0, 0, 12, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 24, 0, 0, 0, -28, 0, -8, 0, -36, 0, 24, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 8, 0, 0, 0, -12, 0, 4, 0, 0, 0, -24, 0, 0, 0, -4, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 12, 0, 0, 0, -48, 0, -24, 0, 2, 0, -4, 0, 0, 0, 28, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -4, 0, -48, 0, 36, 0, 40, 0, 0, 0, 24, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 32, 0, 0, 0, 0, 0, -32, 0, -14, 0, 12, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-2, 0], [0, 0], [0, -2], [0, 0], [-2, -1], [0, 0], [1, 0], [0, 0], [0, 2], [0, 0], [0, 2], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [4, 2], [0, 0], [0, 2], [0, 0], [-7, 0], [0, 0], [4, 0], [0, 0], [-6, 0], [0, 0], [-8, 0], [0, 0], [0, -4], [0, 0], [-6, 4], [0, 0], [2, 0], [0, 0], [0, -4], [0, 0], [0, 4], [0, 0], [0, -6], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [1, 4], [0, 0], [0, 0], [0, 0], [-6, 0], [0, 0], [12, 0], [0, 0], [4, 0], [0, 0], [-6, 0], [0, 0], [0, 2], [0, 0], [-2, -1], [0, 0], [12, 0], [0, 0], [0, 2], [0, 0], [0, -4], [0, 0], [0, -2], [0, 0], [0, -4], [0, 0], [14, 0], [0, 0], [6, -4], [0, 0], [0, -2], [0, 0], [-11, 0], [0, 0], [6, 0], [0, 0], [0, 0], [0, 0], [12, 0], [0, 0], [0, 4], [0, 0], [6, -4], [0, 0], [16, 0], [0, 0], [0, 4], [0, 0], [0, -8], [0, 0], [0, 2], [0, 0]], 'ap': [[0, 0], [-2, 0], [0, -2], [-2, -1], [0, 2], [0, 2], [0, 0], [-2, 0], [0, 2], [-6, 0], [-8, 0], [2, 0], [0, 4], [0, -6], [0, 0], [-6, 0], [-6, 0], [0, 2], [0, 2], [0, -2], [0, -4], [0, -2], [6, 0], [0, 4], [0, -8], [0, 6], [4, 0], [0, -6], [-14, 0], [-18, 0], [0, -6], [-18, 0], [-6, 0], [2, 0], [-6, 0], [0, 2], [0, -6], [0, 10], [-12, 0], [0, 2], [0, -6], [0, -10], [0, 14], [-2, 0], [18, 0], [20, 0], [0, 2], [-16, 0], [6, 0], [0, 6], [-6, 0], [0, -6], [0, -16], [-30, 0], [0, -16], [0, 14], [0, 2], [-8, 0], [2, 0], [-6, 0], [-14, 0], [0, 6], [22, 0], [-12, 0], [0, -4], [-6, 0], [0, 2], [14, 0], [0, 10], [0, 2], [0, 16], [0, 18], [8, 0], [-14, 0], [0, -14], [24, 0], [18, 0], [0, -6], [30, 0], [0, -4], [30, 0], [26, 0], [0, -22], [0, 0], [-28, 0], [0, 2], [-30, 0], [-34, 0], [0, -22], [0, 14], [30, 0], [24, 0], [0, -14], [0, 10], [0, -6], [36, 0], [0, 18], [0, 20], [2, 0], [2, 0], [0, 10], [18, 0], [-18, 0], [-18, 0], [0, 26], [0, 16], [18, 0], [0, 8], [0, 14], [0, -12], [-16, 0], [-38, 0], [-18, 0], [26, 0], [0, -2], [30, 0], [-26, 0], [-12, 0], [18, 0], [0, 2], [0, -2], [-14, 0], [0, -2], [0, -22], [-10, 0], [-30, 0], [10, 0], [-48, 0], [28, 0], [0, -30], [0, -6], [0, -14], [0, 26], [10, 0], [0, 12], [0, -8], [0, -2], [-34, 0], [0, 10], [30, 0], [-22, 0], [-30, 0], [0, -2], [0, -14], [0, 2], [-12, 0], [0, -2], [0, -20], [-14, 0], [0, -18], [-38, 0], [0, -8], [0, 2], [12, 0], [0, -14], [0, -6], [0, -18], [0, -24], [0, 28], [0, -14], [0, -14], [-6, 0], [0, -14], [18, 0], [-30, 0], [-36, 0], [0, -2], [0, 30]], 'char_orbit_index': 6, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 343630938560, 'hecke_ring_character_values': [[127, [-1, 0]], [197, [1, 0]], [129, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '448.2.f.a', 'level': 448, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1792, 'analytic_conductor': 3.577298010553361, 'char_conductor': 28, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [448, 2, [127, 197, 129], [1, 2, 1]], 'conrey_index': 447, 'cusp_dim': 52, 'dim': 14, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 343630938560, 'hecke_orbit_dims': [2, 2, 2, 8], 'label': '448.2.f', 'level': 448, '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, 7], 'level_radical': 14, 'mf_dim': 76, 'mf_new_dim': 18, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 14, 'sturm_bound': 128, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [14, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -10, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 12, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -50, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -68, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 12, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, -96, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 12, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -16, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 108, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 80, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -68, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -90, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -116, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -112, 0, 0, 0, 236, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74, 0, 0, 0, 96, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 124, 0, 0, 0, 56, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 288, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -70, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -68, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 208, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -276, 0, 0, 0, -164, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 140, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 0, 0, 128, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 332, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -212, 0, 0, 0, 208, 0, 0, 0, -372, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -104, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -164, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -256, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -112, 0, 0, 0, 376, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, -144, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 352, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -260, 0, 0, 0, -468, 0, 0, 0, 0, 0, 0, 0, -136, 0, 0, 0, 0, 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: 326395
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '112.2.f.a', 'target_level': 112, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 326396
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '112.2.f.a', 'target_level': 112, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 326397
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.f.b', 'target_level': 112, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 326398
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.f.b', 'target_level': 112, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 326399
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.f.a', 'target_level': 448, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 326400
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.f.a', 'target_level': 448, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 326401
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.2.f.c', 'target_level': 448, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 326402
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '448.2.f.c', 'target_level': 448, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 326403
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.p.a', 'target_level': 784, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
-
id: 326404
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.p.a', 'target_level': 784, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
-
id: 326405
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.p.b', 'target_level': 784, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
-
id: 326406
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '784.2.p.b', 'target_level': 784, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
-
id: 326407
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.p.e', 'target_level': 784, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 326408
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.p.e', 'target_level': 784, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
-
id: 326409
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.p.f', 'target_level': 784, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 326410
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 16, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.p.f', 'target_level': 784, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
-
id: 326411
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1008.2.b.b', 'target_level': 1008, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 326412
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1008.2.b.b', 'target_level': 1008, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 2}
-
id: 326413
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.b.g', 'target_level': 1008, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 326414
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.b.g', 'target_level': 1008, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 326415
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1792.2.e.a', 'target_level': 1792, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 326416
{'conductor': 112, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1792.2.e.a', 'target_level': 1792, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 326417
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1792.2.e.c', 'target_level': 1792, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 326418
{'conductor': 112, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1792.2.e.c', 'target_level': 1792, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '112.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 326419
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2800.2.e.b', 'target_level': 2800, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 326420
{'conductor': 280, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2800.2.e.b', 'target_level': 2800, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '280.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 326421
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2800.2.e.c', 'target_level': 2800, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 326422
{'conductor': 280, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2800.2.e.c', 'target_level': 2800, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '280.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 326423
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2800.2.k.b', 'target_level': 2800, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 326424
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2800.2.k.b', 'target_level': 2800, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '280.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 326425
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2800.2.k.e', 'target_level': 2800, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 326426
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2800.2.k.e', 'target_level': 2800, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '280.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 326427
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4032.2.b.b', 'target_level': 4032, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 326428
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4032.2.b.b', 'target_level': 4032, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 326429
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4032.2.b.h', 'target_level': 4032, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 326430
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '448.2.f.a', 'source_level': 448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4032.2.b.h', 'target_level': 4032, 'twist_class_label': '112.2.f.a', 'twist_class_level': 112, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 902225
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 2}
-
id: 902226
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 3}
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id: 902227
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 5}
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id: 902228
{'charpoly_factorization': [[[7, 4, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 7}
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id: 902229
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 11}
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id: 902230
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 13}
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id: 902231
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 17}
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id: 902232
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 19}
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id: 902233
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 23}
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id: 902234
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 29}
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id: 902235
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 31}
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id: 902236
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 37}
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id: 902237
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 41}
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id: 902238
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 43}
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id: 902239
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 47}
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id: 902240
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 53}
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id: 902241
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 59}
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id: 902242
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 61}
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id: 902243
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 67}
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id: 902244
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 71}
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id: 902245
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 73}
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id: 902246
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 79}
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id: 902247
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 343630938560, 'p': 83}
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id: 902248
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 89}
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id: 902249
{'charpoly_factorization': [[[192, 0, 1], 1]], 'hecke_orbit_code': 343630938560, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 1, 'label': '448.2.f.a', 'level': 448, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 8162928
{'hecke_orbit_code': 343630938560, 'n': 1, 'trace_an': 2}
-
id: 8162929
{'hecke_orbit_code': 343630938560, 'n': 2, 'trace_an': 0}
-
id: 8162930
{'hecke_orbit_code': 343630938560, 'n': 3, 'trace_an': -4}
-
id: 8162931
{'hecke_orbit_code': 343630938560, 'n': 4, 'trace_an': 0}
-
id: 8162932
{'hecke_orbit_code': 343630938560, 'n': 5, 'trace_an': 0}
-
id: 8162933
{'hecke_orbit_code': 343630938560, 'n': 6, 'trace_an': 0}
-
id: 8162934
{'hecke_orbit_code': 343630938560, 'n': 7, 'trace_an': -4}
-
id: 8162935
{'hecke_orbit_code': 343630938560, 'n': 8, 'trace_an': 0}
-
id: 8162936
{'hecke_orbit_code': 343630938560, 'n': 9, 'trace_an': 2}
-
id: 8162937
{'hecke_orbit_code': 343630938560, 'n': 10, 'trace_an': 0}
-
id: 8162938
{'hecke_orbit_code': 343630938560, 'n': 11, 'trace_an': 0}
-
id: 8162939
{'hecke_orbit_code': 343630938560, 'n': 12, 'trace_an': 0}
-
id: 8162940
{'hecke_orbit_code': 343630938560, 'n': 13, 'trace_an': 0}
-
id: 8162941
{'hecke_orbit_code': 343630938560, 'n': 14, 'trace_an': 0}
-
id: 8162942
{'hecke_orbit_code': 343630938560, 'n': 15, 'trace_an': 0}
-
id: 8162943
{'hecke_orbit_code': 343630938560, 'n': 16, 'trace_an': 0}
-
id: 8162944
{'hecke_orbit_code': 343630938560, 'n': 17, 'trace_an': 0}
-
id: 8162945
{'hecke_orbit_code': 343630938560, 'n': 18, 'trace_an': 0}
-
id: 8162946
{'hecke_orbit_code': 343630938560, 'n': 19, 'trace_an': -4}
-
id: 8162947
{'hecke_orbit_code': 343630938560, 'n': 20, 'trace_an': 0}
-
id: 8162948
{'hecke_orbit_code': 343630938560, 'n': 21, 'trace_an': 8}
-
id: 8162949
{'hecke_orbit_code': 343630938560, 'n': 22, 'trace_an': 0}
-
id: 8162950
{'hecke_orbit_code': 343630938560, 'n': 23, 'trace_an': 0}
-
id: 8162951
{'hecke_orbit_code': 343630938560, 'n': 24, 'trace_an': 0}
-
id: 8162952
{'hecke_orbit_code': 343630938560, 'n': 25, 'trace_an': -14}
-
id: 8162953
{'hecke_orbit_code': 343630938560, 'n': 26, 'trace_an': 0}
-
id: 8162954
{'hecke_orbit_code': 343630938560, 'n': 27, 'trace_an': 8}
-
id: 8162955
{'hecke_orbit_code': 343630938560, 'n': 28, 'trace_an': 0}
-
id: 8162956
{'hecke_orbit_code': 343630938560, 'n': 29, 'trace_an': -12}
-
id: 8162957
{'hecke_orbit_code': 343630938560, 'n': 30, 'trace_an': 0}
-
id: 8162958
{'hecke_orbit_code': 343630938560, 'n': 31, 'trace_an': -16}
-
id: 8162959
{'hecke_orbit_code': 343630938560, 'n': 32, 'trace_an': 0}
-
id: 8162960
{'hecke_orbit_code': 343630938560, 'n': 33, 'trace_an': 0}
-
id: 8162961
{'hecke_orbit_code': 343630938560, 'n': 34, 'trace_an': 0}
-
id: 8162962
{'hecke_orbit_code': 343630938560, 'n': 35, 'trace_an': -12}
-
id: 8162963
{'hecke_orbit_code': 343630938560, 'n': 36, 'trace_an': 0}
-
id: 8162964
{'hecke_orbit_code': 343630938560, 'n': 37, 'trace_an': 4}
-
id: 8162965
{'hecke_orbit_code': 343630938560, 'n': 38, 'trace_an': 0}
-
id: 8162966
{'hecke_orbit_code': 343630938560, 'n': 39, 'trace_an': 0}
-
id: 8162967
{'hecke_orbit_code': 343630938560, 'n': 40, 'trace_an': 0}
-
id: 8162968
{'hecke_orbit_code': 343630938560, 'n': 41, 'trace_an': 0}
-
id: 8162969
{'hecke_orbit_code': 343630938560, 'n': 42, 'trace_an': 0}
-
id: 8162970
{'hecke_orbit_code': 343630938560, 'n': 43, 'trace_an': 0}
-
id: 8162971
{'hecke_orbit_code': 343630938560, 'n': 44, 'trace_an': 0}
-
id: 8162972
{'hecke_orbit_code': 343630938560, 'n': 45, 'trace_an': 0}
-
id: 8162973
{'hecke_orbit_code': 343630938560, 'n': 46, 'trace_an': 0}
-
id: 8162974
{'hecke_orbit_code': 343630938560, 'n': 47, 'trace_an': 0}
-
id: 8162975
{'hecke_orbit_code': 343630938560, 'n': 48, 'trace_an': 0}
-
id: 8162976
{'hecke_orbit_code': 343630938560, 'n': 49, 'trace_an': 2}
-
id: 8162977
{'hecke_orbit_code': 343630938560, 'n': 50, 'trace_an': 0}
-
id: 8162978
{'hecke_orbit_code': 343630938560, 'n': 51, 'trace_an': 0}
-
id: 8162979
{'hecke_orbit_code': 343630938560, 'n': 52, 'trace_an': 0}
-
id: 8162980
{'hecke_orbit_code': 343630938560, 'n': 53, 'trace_an': -12}
-
id: 8162981
{'hecke_orbit_code': 343630938560, 'n': 54, 'trace_an': 0}
-
id: 8162982
{'hecke_orbit_code': 343630938560, 'n': 55, 'trace_an': 24}
-
id: 8162983
{'hecke_orbit_code': 343630938560, 'n': 56, 'trace_an': 0}
-
id: 8162984
{'hecke_orbit_code': 343630938560, 'n': 57, 'trace_an': 8}
-
id: 8162985
{'hecke_orbit_code': 343630938560, 'n': 58, 'trace_an': 0}
-
id: 8162986
{'hecke_orbit_code': 343630938560, 'n': 59, 'trace_an': -12}
-
id: 8162987
{'hecke_orbit_code': 343630938560, 'n': 60, 'trace_an': 0}
-
id: 8162988
{'hecke_orbit_code': 343630938560, 'n': 61, 'trace_an': 0}
-
id: 8162989
{'hecke_orbit_code': 343630938560, 'n': 62, 'trace_an': 0}
-
id: 8162990
{'hecke_orbit_code': 343630938560, 'n': 63, 'trace_an': -4}
-
id: 8162991
{'hecke_orbit_code': 343630938560, 'n': 64, 'trace_an': 0}
-
id: 8162992
{'hecke_orbit_code': 343630938560, 'n': 65, 'trace_an': 24}
-
id: 8162993
{'hecke_orbit_code': 343630938560, 'n': 66, 'trace_an': 0}
-
id: 8162994
{'hecke_orbit_code': 343630938560, 'n': 67, 'trace_an': 0}
-
id: 8162995
{'hecke_orbit_code': 343630938560, 'n': 68, 'trace_an': 0}
-
id: 8162996
{'hecke_orbit_code': 343630938560, 'n': 69, 'trace_an': 0}
-
id: 8162997
{'hecke_orbit_code': 343630938560, 'n': 70, 'trace_an': 0}
-
id: 8162998
{'hecke_orbit_code': 343630938560, 'n': 71, 'trace_an': 0}
-
id: 8162999
{'hecke_orbit_code': 343630938560, 'n': 72, 'trace_an': 0}
-
id: 8163000
{'hecke_orbit_code': 343630938560, 'n': 73, 'trace_an': 0}
-
id: 8163001
{'hecke_orbit_code': 343630938560, 'n': 74, 'trace_an': 0}
-
id: 8163002
{'hecke_orbit_code': 343630938560, 'n': 75, 'trace_an': 28}
-
id: 8163003
{'hecke_orbit_code': 343630938560, 'n': 76, 'trace_an': 0}
-
id: 8163004
{'hecke_orbit_code': 343630938560, 'n': 77, 'trace_an': 12}
-
id: 8163005
{'hecke_orbit_code': 343630938560, 'n': 78, 'trace_an': 0}
-
id: 8163006
{'hecke_orbit_code': 343630938560, 'n': 79, 'trace_an': 0}
-
id: 8163007
{'hecke_orbit_code': 343630938560, 'n': 80, 'trace_an': 0}
-
id: 8163008
{'hecke_orbit_code': 343630938560, 'n': 81, 'trace_an': -22}
-
id: 8163009
{'hecke_orbit_code': 343630938560, 'n': 82, 'trace_an': 0}
-
id: 8163010
{'hecke_orbit_code': 343630938560, 'n': 83, 'trace_an': 12}
-
id: 8163011
{'hecke_orbit_code': 343630938560, 'n': 84, 'trace_an': 0}
-
id: 8163012
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