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mf_newforms • Show schema
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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 2]], 'cm_discs': [], 'conrey_index': 109, 'dim': 16, 'field_disc': 13135919698291258884096, 'field_disc_factorization': [[2, 16], [3, 8], [2351, 4]], 'field_poly': [256, 0, -256, 0, 224, 0, -156, 0, 77, 0, -39, 0, 14, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [81, 0, 324, 0, 990, 0, 1026, 0, 751, 0, 302, 0, 87, 0, 11, 0, 1]], [13, [2401, -4998, 11972, 2970, 1281, 108, 41, 3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540008251490871, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 243, 'hecke_ring_index_factorization': [[3, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 63, 7, 1, 3, 0], [1, 1, 63, 14, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '567.2.g.l', 'level': 567, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '567.2.e.g', 'prim_orbit_index': 7, 'qexp_display': 'q-\\beta _{1}q^{2}+(-\\beta _{5}-\\beta _{7}-\\beta _{8}-\\beta _{12}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '567.2.g', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1953060150523244761, 'trace_moments': 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-492], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 1, 0, 0, 0, 0, 2, -2, 0, 0, 0, 1, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, -1, 0, 0, 1, -1, 0, 0, 1, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0, 0, -2, -2, 2, 0, 0, -1, -1, 0, 0], [0, 3, -1, 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0, 0, 5, 0, 0, 0, 16], [0, 0, -12, 0, 4, 0, 5, 0, 0, 0, -5, 0, 0, 0, 12, -2], [-5, 0, 0, -9, 0, -3, 0, 0, 3, -5, 0, 0, 3, -6, 0, 0], [-22, 0, 0, -5, 0, 5, 0, 2, 0, 5, 0, 0, 1, -1, 0, 0]], 'char_orbit_index': 7, 'field_poly': [256, 0, -256, 0, 224, 0, -156, 0, 77, 0, -39, 0, 14, 0, -4, 0, 1], 'hecke_orbit_code': 49540008251490871, 'hecke_ring_character_values': [[407, [-1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0]], [325, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2688, 448, 1344, 672, 336, 672, 64, 1344, 1344, 2688, 1344, 672, 672, 896, 1344], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 0, 1], [1, 0, 0, -1, 0, -1, 0, 0, -3, -2, 0, 0, -1, -1, 0, 0], [0, -3, 2, 0, 1, 0, -1, 0, 0, 0, 2, -1, 0, 0, -1, 0], [-1, 0, 0, 0, 0, -1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 7, 0, -4, 0, 0, 0, -1, -1, 0, 0, -1, 0], [2, 0, 0, 10, 0, -2, 0, 0, 6, 2, 0, 0, 1, 4, 0, 0], [0, 8, -3, 0, 9, 0, 8, 0, 0, 0, -10, 6, 0, 0, -6, 7], [5, 0, 0, 4, 0, 2, 0, 1, -1, -6, 0, 0, -1, 3, 0, 0], [0, 2, 6, 0, -21, 0, 17, 0, 0, 0, -7, -9, 0, 0, -15, 25], [58, 0, 0, -31, 0, -4, 0, 33, -9, 19, 0, 0, 11, 5, 0, 0], [0, -45, 14, 0, -14, 0, 5, 0, 0, 0, -13, -58, 0, 0, 14, 30], [29, 0, 0, -14, 0, -13, 0, 1, -12, 29, 0, 0, 11, -14, 0, 0], [0, -108, -19, 0, 142, 0, -10, 0, 0, 0, -19, 17, 0, 0, 17, -21], [-85, 0, 0, 124, 0, -20, 0, -57, -117, 14, 0, 0, -56, -35, 0, 0], [0, -52, 57, 0, 120, 0, -79, 0, 0, 0, -1, 135, 0, 0, -183, -68]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1984, 0, 2304, 0, -872, 0, 1099, 0, -469, 0, 122, 0, -96, 0, -5], [0, 2112, 0, -424, 0, 744, 0, -329, 0, 63, 0, -54, 0, -8, 0, -1], [2048, 0, -2064, 0, 1648, 0, -749, 0, 539, 0, -214, 0, 72, 0, -5, 0], [0, -592, 0, 804, 0, -269, 0, 301, 0, -112, 0, 32, 0, 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{'Nk2': 2268, 'analytic_conductor': 4.527517794606598, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [567, 3, [407, 325], [1, 2]], 'conrey_index': 109, 'cusp_dim': 120, 'dim': 60, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 13], 'hecke_orbit_code': 412350415415, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 16], 'label': '567.2.g', 'level': 567, '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': [3, 7], 'level_radical': 21, 'mf_dim': 168, 'mf_new_dim': 68, 'num_forms': 12, 'prim_orbit_index': 7, 'relative_dim': 30, 'sturm_bound': 144, 'trace_bound': 7, 'trace_display': [0, 0, 0, -3], 'traces': [60, 0, 0, -30, 0, 0, -3, 0, 0, 6, 0, 0, 9, 0, 0, -30, 0, 0, -12, 0, 0, 0, 0, 0, 48, 0, 0, -12, 0, 0, 18, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 24, 0, 0, -6, 0, 0, -27, 0, 0, -36, 0, 0, -48, 0, 0, -48, 0, 0, -15, 0, 0, 48, 0, 0, -3, 0, 0, -30, 0, 0, 0, 0, 0, -48, 0, 0, 45, 0, 0, -6, 0, 0, 6, 0, 0, 36, 0, 0, -51, 0, 0, 30, 0, 0, 9, 0, 0, -12, 0, 0, 126, 0, 0, -30, 0, 0, 48, 0, 0, 150, 0, 0, -36, 0, 0, -180, 0, 0, 0, 0, 0, 60, 0, 0, -96, 0, 0, 30, 0, 0, -57, 0, 0, -48, 0, 0, -9, 0, 0, 6, 0, 0, 12, 0, 0, -30, 0, 0, -66, 0, 0, 78, 0, 0, -126, 0, 0, -6, 0, 0, -15, 0, 0, 36, 0, 0, 21, 0, 0, 36, 0, 0, -63, 0, 0, 96, 0, 0, 204, 0, 0, 108, 0, 0, 24, 0, 0, 132, 0, 0, -81, 0, 0, -72, 0, 0, 69, 0, 0, 138, 0, 0, -126, 0, 0, -162, 0, 0, 51, 0, 0, 156, 0, 0, -27, 0, 0, 66, 0, 0, -24, 0, 0, 108, 0, 0, -204, 0, 0, 102, 0, 0, -6, 0, 0, -168, 0, 0, -294, 0, 0, 96, 0, 0, 6, 0, 0, 48, 0, 0, 204, 0, 0, 102, 0, 0, 102, 0, 0, -264, 0, 0, -204, 0, 0, 156, 0, 0, -3, 0, 0, 24, 0, 0, -60, 0, 0, -318, 0, 0, 90, 0, 0, 120, 0, 0, -66, 0, 0, -276, 0, 0, -12, 0, 0, 78, 0, 0, 141, 0, 0, 108, 0, 0, -120, 0, 0, -108, 0, 0, 48, 0, 0, -240, 0, 0, 18, 0, 0, -216, 0, 0, -3, 0, 0, 54, 0, 0, -24, 0, 0, 66, 0, 0, -6, 0, 0, -384, 0, 0, 66, 0, 0, -180, 0, 0, 21, 0, 0, 24, 0, 0, 96, 0, 0, 114, 0, 0, -6, 0, 0, 30, 0, 0, 132, 0, 0, 756, 0, 0, 276, 0, 0, 0, 0, 0, -54, 0, 0, 12, 0, 0, 174, 0, 0, 300, 0, 0, 54, 0, 0, -174, 0, 0, 66, 0, 0, 180, 0, 0, 390, 0, 0, 168, 0, 0, -27, 0, 0, -192, 0, 0, 102, 0, 0, -180, 0, 0, -90, 0, 0, -18, 0, 0, -147, 0, 0, -384, 0, 0, -132, 0, 0, -444, 0, 0, 42, 0, 0, 204, 0, 0, 6, 0, 0, 252, 0, 0, -174, 0, 0, 42, 0, 0, 144, 0, 0, 120, 0, 0, -78, 0, 0, 0, 0, 0, -222, 0, 0, 192, 0, 0, -120, 0, 0, -126, 0, 0, 378, 0, 0, -66, 0, 0, -90, 0, 0, 114, 0, 0, 240, 0, 0, -540, 0, 0, 60, 0, 0, -192, 0, 0, -180, 0, 0, 114, 0, 0, 30, 0, 0, 48, 0, 0, -36, 0, 0, -150, 0, 0, -39, 0, 0, -306, 0, 0, -276, 0, 0, 276, 0, 0, -72, 0, 0, 144, 0, 0, -114, 0, 0, 60, 0, 0, -123, 0, 0, -306, 0, 0, 117, 0, 0, 756, 0, 0, -102, 0, 0, 612, 0, 0, 42, 0, 0, -384, 0, 0, -30, 0, 0, -366, 0, 0, 153, 0, 0, 330, 0, 0, -30, 0, 0, -378, 0, 0, -54, 0, 0, 96, 0, 0, -30, 0, 0, 306, 0, 0, 216, 0, 0, 294, 0, 0, -36, 0, 0, -6, 0, 0, -51, 0, 0, -546, 0, 0, -438, 0, 0, -144, 0, 0, -324, 0, 0, -126, 0, 0, 162, 0, 0, -54, 0, 0, -174, 0, 0, -150, 0, 0, -270, 0, 0, 408, 0, 0, 84, 0, 0, -156, 0, 0, 12, 0, 0, -156, 0, 0, 108, 0, 0, -192, 0, 0, -138, 0, 0, 144, 0, 0, -102, 0, 0, 12, 0, 0, 381, 0, 0, -120, 0, 0, -384, 0, 0, -384, 0, 0, 114, 0, 0, -72, 0, 0, 54, 0, 0, 366, 0, 0, -9, 0, 0, 126, 0, 0, 51, 0, 0, 210, 0, 0, 150, 0, 0, -24, 0, 0, 513, 0, 0, -450, 0, 0, 108, 0, 0, -48, 0, 0, -24, 0, 0, 102, 0, 0, 96, 0, 0, -138, 0, 0, 288, 0, 0, 636, 0, 0, 228, 0, 0, -96, 0, 0, 354, 0, 0, -342, 0, 0, 174, 0, 0, 366, 0, 0, 144, 0, 0, -360, 0, 0, 0, 0, 0, 330, 0, 0, 216, 0, 0, 234, 0, 0, 123, 0, 0, -96, 0, 0, 222, 0, 0, 120, 0, 0, 258, 0, 0, 162, 0, 0, -180, 0, 0, -912, 0, 0, 168, 0, 0, -276, 0, 0, -228, 0, 0, 168, 0, 0, -21, 0, 0, 252, 0, 0, -180, 0, 0, -372, 0, 0, 144, 0, 0, -96, 0, 0, 120, 0, 0, -132, 0, 0, -393, 0, 0, -54, 0, 0, 54, 0, 0, -276, 0, 0, -78, 0, 0, -324, 0, 0, 252, 0, 0, 246, 0, 0, 450, 0, 0, -168, 0, 0, -30, 0, 0, -198, 0, 0, -564, 0, 0, 60, 0, 0, -453, 0, 0, -6, 0, 0, 126, 0, 0, -120, 0, 0, 78, 0, 0, -150, 0, 0, -90, 0, 0, 210, 0, 0, -576, 0, 0, 378, 0, 0, 48, 0, 0, -204, 0, 0, -147, 0, 0, -132, 0, 0, 354, 0, 0, 576, 0, 0, 438, 0, 0, 1188, 0, 0, 24, 0, 0, -276, 0, 0, 9, 0, 0, 270, 0, 0, 336, 0, 0, -270, 0, 0, -138, 0, 0, 504, 0, 0, 87, 0, 0, 672, 0, 0, 183, 0, 0, 234, 0, 0, -306, 0, 0, -12, 0, 0, -588, 0, 0, -120, 0, 0, 81, 0, 0, -348, 0, 0, -384, 0, 0, 48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 387628
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 16, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '567.2.e.g', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387629
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 16, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '567.2.e.g', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387630
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 16, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '567.2.e.g', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387631
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 5, 'target_dim': 16, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '567.2.e.g', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 387632
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.g.l', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 387633
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.g.l', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 387634
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.g.l', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 387635
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 7, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.g.l', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 387636
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.h.l', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387637
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.h.l', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 387638
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.h.l', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 387639
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '567.2.h.l', 'target_level': 567, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 387640
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '3969.2.a.bf', 'target_level': 3969, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 387641
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '3969.2.a.bf', 'target_level': 3969, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 387642
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '3969.2.a.bg', 'target_level': 3969, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 387643
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 16, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '567.2.g.l', 'source_level': 567, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '3969.2.a.bg', 'target_level': 3969, 'twist_class_label': '567.2.e.g', 'twist_class_level': 567, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1056500
{'charpoly_factorization': [[[81, 0, 324, 0, 990, 0, 1026, 0, 751, 0, 302, 0, 87, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 2}
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id: 1056501
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 49540008251490871, 'p': 3}
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id: 1056502
{'charpoly_factorization': [[[441, 0, -423, 0, 142, 0, -20, 0, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 5}
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id: 1056503
{'charpoly_factorization': [[[2401, 0, -49, -126, 15, -18, -1, 0, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 7}
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id: 1056504
{'charpoly_factorization': [[[3249, 0, -2124, 0, 430, 0, -35, 0, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 11}
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id: 1056505
{'charpoly_factorization': [[[2401, -4998, 11972, 2970, 1281, 108, 41, 3, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 13}
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id: 1056506
{'charpoly_factorization': [[[15752961, 0, 12216582, 0, 6652125, 0, 1759806, 0, 335340, 0, 32238, 0, 2205, 0, 54, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 17}
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id: 1056507
{'charpoly_factorization': [[[625681, 225435, 89135, 16134, 4311, 690, 134, 12, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 19}
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id: 1056508
{'charpoly_factorization': [[[670761, 0, -108351, 0, 5958, 0, -132, 0, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 23}
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id: 1056509
{'charpoly_factorization': [[[5554571841, 0, 1828941660, 0, 418124970, 0, 46900464, 0, 3768691, 0, 178160, 0, 5994, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 29}
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id: 1056510
{'charpoly_factorization': [[[423801, 183582, 76269, 14430, 3496, 514, 105, 10, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 31}
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id: 1056511
{'charpoly_factorization': [[[729, -4131, 22221, -6840, 2269, -218, 48, -2, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 37}
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id: 1056512
{'charpoly_factorization': [[[25344958401, 0, 14658591276, 0, 6972903522, 0, 809671722, 0, 71632399, 0, 1621562, 0, 27027, 0, 191, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 41}
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id: 1056513
{'charpoly_factorization': [[[100489, 142016, 175978, 38114, 8641, 506, 103, 5, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 43}
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id: 1056514
{'charpoly_factorization': [[[103355177121, 0, 41170202829, 0, 13584340548, 0, 999907335, 0, 52160031, 0, 1398951, 0, 26964, 0, 189, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 47}
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id: 1056515
{'charpoly_factorization': [[[860013262161, 0, 357180807195, 0, 130232857455, 0, 6987912606, 0, 269568891, 0, 4854330, 0, 63414, 0, 288, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 53}
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id: 1056516
{'charpoly_factorization': [[[15752961, 0, 14681331, 0, 9753291, 0, 3185730, 0, 754191, 0, 52002, 0, 2610, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 59}
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id: 1056517
{'charpoly_factorization': [[[10686361, 2981328, 874241, 105828, 19854, 2058, 311, 18, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 61}
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id: 1056518
{'charpoly_factorization': [[[7284601, -3562680, 1380734, -225462, 32535, -1434, 215, -9, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 67}
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id: 1056519
{'charpoly_factorization': [[[6561, 0, -256365, 0, 33057, 0, -357, 0, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 71}
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id: 1056520
{'charpoly_factorization': [[[441, -693, 2181, 2388, 2197, 766, 204, 16, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 73}
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id: 1056521
{'charpoly_factorization': [[[5041, 497, 4735, -2734, 4315, -1042, 190, -16, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 79}
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id: 1056522
{'charpoly_factorization': [[[15752961, 0, 132882120, 0, 1106979210, 0, 116633682, 0, 8599851, 0, 322650, 0, 8811, 0, 111, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 83}
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id: 1056523
{'charpoly_factorization': [[[15000980267723121, 0, 970735476412107, 0, 44450599964751, 0, 1013174074758, 0, 16691276647, 0, 91521266, 0, 362694, 0, 716, 0, 1], 1]], 'hecke_orbit_code': 49540008251490871, 'p': 89}
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id: 1056524
{'charpoly_factorization': [[[974169, -568512, 469956, 66822, 22645, 172, 189, 7, 1], 2]], 'hecke_orbit_code': 49540008251490871, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 12, 'label': '567.2.g.l', 'level': 567, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 56915809
{'hecke_orbit_code': 49540008251490871, 'n': 1, 'trace_an': 16}
-
id: 56915810
{'hecke_orbit_code': 49540008251490871, 'n': 2, 'trace_an': 0}
-
id: 56915811
{'hecke_orbit_code': 49540008251490871, 'n': 3, 'trace_an': 0}
-
id: 56915812
{'hecke_orbit_code': 49540008251490871, 'n': 4, 'trace_an': -6}
-
id: 56915813
{'hecke_orbit_code': 49540008251490871, 'n': 5, 'trace_an': 0}
-
id: 56915814
{'hecke_orbit_code': 49540008251490871, 'n': 6, 'trace_an': 0}
-
id: 56915815
{'hecke_orbit_code': 49540008251490871, 'n': 7, 'trace_an': 0}
-
id: 56915816
{'hecke_orbit_code': 49540008251490871, 'n': 8, 'trace_an': 0}
-
id: 56915817
{'hecke_orbit_code': 49540008251490871, 'n': 9, 'trace_an': 0}
-
id: 56915818
{'hecke_orbit_code': 49540008251490871, 'n': 10, 'trace_an': -14}
-
id: 56915819
{'hecke_orbit_code': 49540008251490871, 'n': 11, 'trace_an': 0}
-
id: 56915820
{'hecke_orbit_code': 49540008251490871, 'n': 12, 'trace_an': 0}
-
id: 56915821
{'hecke_orbit_code': 49540008251490871, 'n': 13, 'trace_an': -6}
-
id: 56915822
{'hecke_orbit_code': 49540008251490871, 'n': 14, 'trace_an': 0}
-
id: 56915823
{'hecke_orbit_code': 49540008251490871, 'n': 15, 'trace_an': 0}
-
id: 56915824
{'hecke_orbit_code': 49540008251490871, 'n': 16, 'trace_an': -6}
-
id: 56915825
{'hecke_orbit_code': 49540008251490871, 'n': 17, 'trace_an': 0}
-
id: 56915826
{'hecke_orbit_code': 49540008251490871, 'n': 18, 'trace_an': 0}
-
id: 56915827
{'hecke_orbit_code': 49540008251490871, 'n': 19, 'trace_an': -24}
-
id: 56915828
{'hecke_orbit_code': 49540008251490871, 'n': 20, 'trace_an': 0}
-
id: 56915829
{'hecke_orbit_code': 49540008251490871, 'n': 21, 'trace_an': 0}
-
id: 56915830
{'hecke_orbit_code': 49540008251490871, 'n': 22, 'trace_an': -2}
-
id: 56915831
{'hecke_orbit_code': 49540008251490871, 'n': 23, 'trace_an': 0}
-
id: 56915832
{'hecke_orbit_code': 49540008251490871, 'n': 24, 'trace_an': 0}
-
id: 56915833
{'hecke_orbit_code': 49540008251490871, 'n': 25, 'trace_an': 0}
-
id: 56915834
{'hecke_orbit_code': 49540008251490871, 'n': 26, 'trace_an': 0}
-
id: 56915835
{'hecke_orbit_code': 49540008251490871, 'n': 27, 'trace_an': 0}
-
id: 56915836
{'hecke_orbit_code': 49540008251490871, 'n': 28, 'trace_an': -26}
-
id: 56915837
{'hecke_orbit_code': 49540008251490871, 'n': 29, 'trace_an': 0}
-
id: 56915838
{'hecke_orbit_code': 49540008251490871, 'n': 30, 'trace_an': 0}
-
id: 56915839
{'hecke_orbit_code': 49540008251490871, 'n': 31, 'trace_an': -20}
-
id: 56915840
{'hecke_orbit_code': 49540008251490871, 'n': 32, 'trace_an': 0}
-
id: 56915841
{'hecke_orbit_code': 49540008251490871, 'n': 33, 'trace_an': 0}
-
id: 56915842
{'hecke_orbit_code': 49540008251490871, 'n': 34, 'trace_an': 0}
-
id: 56915843
{'hecke_orbit_code': 49540008251490871, 'n': 35, 'trace_an': 0}
-
id: 56915844
{'hecke_orbit_code': 49540008251490871, 'n': 36, 'trace_an': 0}
-
id: 56915845
{'hecke_orbit_code': 49540008251490871, 'n': 37, 'trace_an': 4}
-
id: 56915846
{'hecke_orbit_code': 49540008251490871, 'n': 38, 'trace_an': 0}
-
id: 56915847
{'hecke_orbit_code': 49540008251490871, 'n': 39, 'trace_an': 0}
-
id: 56915848
{'hecke_orbit_code': 49540008251490871, 'n': 40, 'trace_an': 72}
-
id: 56915849
{'hecke_orbit_code': 49540008251490871, 'n': 41, 'trace_an': 0}
-
id: 56915850
{'hecke_orbit_code': 49540008251490871, 'n': 42, 'trace_an': 0}
-
id: 56915851
{'hecke_orbit_code': 49540008251490871, 'n': 43, 'trace_an': -10}
-
id: 56915852
{'hecke_orbit_code': 49540008251490871, 'n': 44, 'trace_an': 0}
-
id: 56915853
{'hecke_orbit_code': 49540008251490871, 'n': 45, 'trace_an': 0}
-
id: 56915854
{'hecke_orbit_code': 49540008251490871, 'n': 46, 'trace_an': 36}
-
id: 56915855
{'hecke_orbit_code': 49540008251490871, 'n': 47, 'trace_an': 0}
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