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mf_newforms • Show schema
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{'Nk2': 9072, 'analytic_conductor': 18.11007117842639, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [2268, 3, [1135, 1541, 325], [3, 1, 2]], 'cm_discs': [-3], 'conrey_index': 109, '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': [[5, [0, 1]], [13, [4, 2, 1]], [19, [1, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007955202541788, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 63, 14, -1, 6, 0], [1, 1, 63, 7, 1, 3, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '2268.2.l.c', 'level': 2268, '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, 3, 7], 'level_radical': 42, 'minimal_twist': '756.2.k.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-1-2\\zeta_{6})q^{7}+(-2+2\\zeta_{6})q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d3', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '2268.2.l', 'trace_display': [0, 0, 0, -4], 'trace_hash': 1477894840786130455, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.053', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.253', 'prec': 17}, 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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], [-1, -2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-2, 2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-5, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 7], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 10], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -5], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 8], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 16], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-17, 17], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [6, -2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 19], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [-1, -2], [0, 0], [-2, 2], [0, 0], [0, 1], [0, 0], [0, 0], [0, 7], [0, 10], [0, 0], [0, -5], [0, 0], [0, 0], [0, 0], [1, -1], [0, 16], [0, 0], [-17, 17], [4, -4], [0, 0], [0, 0], [0, 19], [0, 0], [20, 0], [0, 0], [-17, 17], [0, 0], [-19, 0], [0, 0], [0, 0], [16, -16], [0, 0], [-19, 0], [0, -14], [0, 25], [0, 0], [0, 0], [0, 0], [-19, 0], [0, 0], [0, -2], [0, 0], [-11, 11], [13, -13], [0, 28], [0, 0], [-7, 0], [0, 0], [0, 0], [17, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -29], [-31, 0], [0, 0], [0, 7], [0, 0], [35, 0], [0, 0], [13, -13], [0, 0], [31, -31], [-29, 29], [0, 0], [0, 37], [0, 0], [0, 0], [-31, 0], [-25, 0], [8, 0], [0, 0], [0, 0], [0, -35], [0, 0], [0, -38], [0, 0], [0, -41], [0, 0], [35, 0], [28, -28], [0, 0], [0, 0], [-41, 41], [0, 0], [43, -43], [0, 0], [0, 0], [19, -19], [0, 0], [-43, 0], [0, 0], [0, 0], [0, 0], [0, -8], [0, -17], [0, 1], [0, 0], [0, 0], [0, 0], [0, -47], [46, -46], [0, 0], [0, 0], [0, 0], [0, 49], [29, 0], [-47, 47], [0, 0], [32, 0], [-43, 0], [0, 0], [7, -7], [0, 0], [0, 0], [0, 0], [0, -11], [0, 13], [0, 0], [0, 0], [49, -49], [0, 0], [-53, 53], [0, 0], [0, 49], [-7, 0], [-53, 53], [0, 0], [11, 0], [29, 0], [0, 0], [-47, 47], [0, 0], [0, 31], [0, 0], [0, 0], [56, 0], [0, 0], [0, -5], [0, 0], [-53, 53], [0, 0], [0, -23], [0, 0], [-13, 0], [0, 0], [59, 0], [0, 0], [-55, 0], [0, 0], [-40, 0], [0, 0], [0, 1], [0, 0], [26, 0], [0, 0], [0, 0], [0, 0], [-20, 20], [0, 0], [0, 0], [0, 0], [-44, 44], [-49, 0], [62, 0], [0, 0], [0, 0], [-14, 14], [0, 0], [5, 0], [0, 52], [0, 0], [0, -23], [0, 0], [65, 0], [49, -49], [-59, 59], [0, 0], [-65, 65], [0, 0], [0, 0], [0, 0], [-65, 65], [-67, 0], [38, 0], [0, 0], [0, 55], [0, 0], [0, -11], [0, 0], [0, 0], [0, 0], [0, 61], [-17, 17], [0, 0], [0, 0], [0, 0], [0, -68], [41, 0], [53, 0], [0, 0], [0, 0], [0, 43], [0, 0], [0, 0], [0, 67], [0, 46], [0, 0], [0, 55], [0, 0], [0, 0], [22, -22], [0, 4], [0, 0], [0, 0], [0, 0], [74, 0], [7, -7], [0, 0], [0, -20], [0, 0], [0, -71], [0, 0], [0, 0], [-41, 41], [0, 0], [0, -65], [-56, 56], [-47, 47], [0, 0], [0, 40], [0, 0], [-43, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -71], [0, 25], [0, -11], [0, 0], [0, 0], [44, 0], [0, 0], [0, -32], [0, 0], [79, -79], [0, 0], [0, 0], [0, 58], [0, 0], [0, 0], [-26, 26], [-49, 0], [0, 0], [0, 70], [5, 0], [0, 0], [0, -74], [-82, 0], [0, 0], [-77, 77], [0, 0], [0, 0], [40, -40], [0, 0], [83, 0], [61, -61], [77, 0], [-52, 0], [-14, 14], [0, -83], [0, 0], [59, 0], [0, 1], [0, 0], [0, 0], [0, -11], [0, 0], [0, -86], [-85, 0], [0, 0], [82, -82], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -23], [0, 0], [76, -76], [0, 0], [0, 0], [0, 40], [-13, 0], [0, 0], [52, -52]], 'char_orbit_index': 12, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 9007955202541788, 'hecke_ring_character_values': [[1135, [1, 0]], [1541, [-1, 1]], [325, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2268.2.l.c', 'level': 2268, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 9072, 'analytic_conductor': 18.11007117842639, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 3, 'char_parity': 1, 'char_values': [2268, 3, [1135, 1541, 325], [3, 1, 2]], 'conrey_index': 109, 'cusp_dim': 792, 'dim': 64, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 19], 'hecke_orbit_code': 755947800796, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 6, 6, 8, 8, 16], 'label': '2268.2.l', 'level': 2268, '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, 3, 7], 'level_radical': 42, 'mf_dim': 936, 'mf_new_dim': 64, 'num_forms': 14, 'prim_orbit_index': 7, 'relative_dim': 32, 'sturm_bound': 864, 'trace_bound': 19, 'trace_display': [0, 0, 0, -5], 'traces': [64, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 19, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 39, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 41, 0, 0, 0, 0, 0, 71, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 47, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, -168, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, -115, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, -130, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, -31, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -142, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 95, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, -150, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, -158, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, -196, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 86, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 95, 0, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 101, 0, 0, 0, 0, 0, -67, 0, 0, 0, 0, 0, -182, 0, 0, 0, 0, 0, -138, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 47, 0, 0, 0, 0, 0, 278, 0, 0, 0, 0, 0, 232, 0, 0, 0, 0, 0, -238, 0, 0, 0, 0, 0, 98, 0, 0, 0, 0, 0, 212, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 29, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, -41, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, -186, 0, 0, 0, 0, 0, -337, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 372, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 74, 0, 0, 0, 0, 0, -502, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, -286, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 53, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 436, 0, 0, 0, 0, 0, 65, 0, 0, 0, 0, 0, -178, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 151, 0, 0, 0, 0, 0, 146, 0, 0, 0, 0, 0, -418, 0, 0, 0, 0, 0, 162, 0, 0, 0, 0, 0, -590, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 668, 0, 0, 0, 0, 0, 107, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 252, 0, 0, 0, 0, 0, -70, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 152, 0, 0, 0, 0, 0, 317, 0, 0, 0, 0, 0, -166, 0, 0, 0, 0, 0, 350, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 121, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 131, 0, 0, 0, 0, 0, 59, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 444, 0, 0, 0, 0, 0, 155, 0, 0, 0, 0, 0, 164, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 904869
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '756.2.k.c', 'target_level': 756, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 904870
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '756.2.k.c', 'target_level': 756, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 904871
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '756.2.k.c', 'target_level': 756, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 904872
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '756.2.k.c', 'target_level': 756, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 904873
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2268.2.i.d', 'target_level': 2268, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 904874
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2268.2.i.d', 'target_level': 2268, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 904875
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2268.2.i.d', 'target_level': 2268, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 904876
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2268.2.i.d', 'target_level': 2268, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 904877
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2268.2.l.c', 'target_level': 2268, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 904878
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2268.2.l.c', 'target_level': 2268, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 904879
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2268.2.l.c', 'target_level': 2268, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 904880
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2268.2.l.c', 'target_level': 2268, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 904881
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '5292.2.a.f', 'target_level': 5292, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 904882
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '5292.2.a.f', 'target_level': 5292, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 904883
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '5292.2.a.g', 'target_level': 5292, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 904884
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '2268.2.l.c', 'source_level': 2268, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '5292.2.a.g', 'target_level': 5292, 'twist_class_label': '756.2.k.c', 'twist_class_level': 756, '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: 2536250
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 2}
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id: 2536251
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 3}
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id: 2536252
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 5}
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id: 2536253
{'charpoly_factorization': [[[7, 4, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 7}
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id: 2536254
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 11}
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id: 2536255
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 13}
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id: 2536256
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 17}
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id: 2536257
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 19}
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id: 2536258
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 23}
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id: 2536259
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 29}
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id: 2536260
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 31}
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id: 2536261
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 37}
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id: 2536262
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 41}
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id: 2536263
{'charpoly_factorization': [[[25, 5, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 43}
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id: 2536264
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 47}
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id: 2536265
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 53}
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id: 2536266
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 59}
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id: 2536267
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 61}
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id: 2536268
{'charpoly_factorization': [[[256, -16, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 67}
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id: 2536269
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 71}
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id: 2536270
{'charpoly_factorization': [[[289, 17, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 73}
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id: 2536271
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 79}
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id: 2536272
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 83}
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id: 2536273
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007955202541788, 'p': 89}
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id: 2536274
{'charpoly_factorization': [[[361, -19, 1], 1]], 'hecke_orbit_code': 9007955202541788, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 12, 'hecke_orbit': 3, 'label': '2268.2.l.c', 'level': 2268, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 31460755
{'hecke_orbit_code': 9007955202541788, 'n': 1, 'trace_an': 2}
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id: 31460756
{'hecke_orbit_code': 9007955202541788, 'n': 2, 'trace_an': 0}
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id: 31460757
{'hecke_orbit_code': 9007955202541788, 'n': 3, 'trace_an': 0}
-
id: 31460758
{'hecke_orbit_code': 9007955202541788, 'n': 4, 'trace_an': 0}
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id: 31460759
{'hecke_orbit_code': 9007955202541788, 'n': 5, 'trace_an': 0}
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id: 31460760
{'hecke_orbit_code': 9007955202541788, 'n': 6, 'trace_an': 0}
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id: 31460761
{'hecke_orbit_code': 9007955202541788, 'n': 7, 'trace_an': -4}
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id: 31460762
{'hecke_orbit_code': 9007955202541788, 'n': 8, 'trace_an': 0}
-
id: 31460763
{'hecke_orbit_code': 9007955202541788, 'n': 9, 'trace_an': 0}
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id: 31460764
{'hecke_orbit_code': 9007955202541788, 'n': 10, 'trace_an': 0}
-
id: 31460765
{'hecke_orbit_code': 9007955202541788, 'n': 11, 'trace_an': 0}
-
id: 31460766
{'hecke_orbit_code': 9007955202541788, 'n': 12, 'trace_an': 0}
-
id: 31460767
{'hecke_orbit_code': 9007955202541788, 'n': 13, 'trace_an': -2}
-
id: 31460768
{'hecke_orbit_code': 9007955202541788, 'n': 14, 'trace_an': 0}
-
id: 31460769
{'hecke_orbit_code': 9007955202541788, 'n': 15, 'trace_an': 0}
-
id: 31460770
{'hecke_orbit_code': 9007955202541788, 'n': 16, 'trace_an': 0}
-
id: 31460771
{'hecke_orbit_code': 9007955202541788, 'n': 17, 'trace_an': 0}
-
id: 31460772
{'hecke_orbit_code': 9007955202541788, 'n': 18, 'trace_an': 0}
-
id: 31460773
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id: 31460976
{'hecke_orbit_code': 9007955202541788, 'n': 757, 'trace_an': 58}
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id: 31460977
{'hecke_orbit_code': 9007955202541788, 'n': 761, 'trace_an': 0}
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id: 31460978
{'hecke_orbit_code': 9007955202541788, 'n': 769, 'trace_an': -47}
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id: 31460979
{'hecke_orbit_code': 9007955202541788, 'n': 773, 'trace_an': 0}
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id: 31460980
{'hecke_orbit_code': 9007955202541788, 'n': 787, 'trace_an': 31}
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id: 31460981
{'hecke_orbit_code': 9007955202541788, 'n': 797, 'trace_an': 0}
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id: 31460982
{'hecke_orbit_code': 9007955202541788, 'n': 809, 'trace_an': 0}
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id: 31460983
{'hecke_orbit_code': 9007955202541788, 'n': 811, 'trace_an': 112}
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id: 31460984
{'hecke_orbit_code': 9007955202541788, 'n': 821, 'trace_an': 0}
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id: 31460985
{'hecke_orbit_code': 9007955202541788, 'n': 823, 'trace_an': -5}
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id: 31460986
{'hecke_orbit_code': 9007955202541788, 'n': 827, 'trace_an': 0}
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id: 31460987
{'hecke_orbit_code': 9007955202541788, 'n': 829, 'trace_an': -53}
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id: 31460988
{'hecke_orbit_code': 9007955202541788, 'n': 839, 'trace_an': 0}
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id: 31460989
{'hecke_orbit_code': 9007955202541788, 'n': 841, 'trace_an': 29}
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id: 31460990
{'hecke_orbit_code': 9007955202541788, 'n': 853, 'trace_an': -23}
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id: 31460991
{'hecke_orbit_code': 9007955202541788, 'n': 857, 'trace_an': 0}
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id: 31460992
{'hecke_orbit_code': 9007955202541788, 'n': 859, 'trace_an': -26}
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id: 31460993
{'hecke_orbit_code': 9007955202541788, 'n': 863, 'trace_an': 0}
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id: 31460994
{'hecke_orbit_code': 9007955202541788, 'n': 877, 'trace_an': 118}
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id: 31460995
{'hecke_orbit_code': 9007955202541788, 'n': 881, 'trace_an': 0}
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id: 31460996
{'hecke_orbit_code': 9007955202541788, 'n': 883, 'trace_an': -110}
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id: 31460997
{'hecke_orbit_code': 9007955202541788, 'n': 887, 'trace_an': 0}
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id: 31460998
{'hecke_orbit_code': 9007955202541788, 'n': 907, 'trace_an': -80}
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id: 31460999
{'hecke_orbit_code': 9007955202541788, 'n': 911, 'trace_an': 0}
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id: 31461000
{'hecke_orbit_code': 9007955202541788, 'n': 919, 'trace_an': 1}
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id: 31461001
{'hecke_orbit_code': 9007955202541788, 'n': 929, 'trace_an': 0}
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id: 31461002
{'hecke_orbit_code': 9007955202541788, 'n': 937, 'trace_an': 52}
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id: 31461003
{'hecke_orbit_code': 9007955202541788, 'n': 941, 'trace_an': 0}
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id: 31461004
{'hecke_orbit_code': 9007955202541788, 'n': 947, 'trace_an': 0}
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id: 31461005
{'hecke_orbit_code': 9007955202541788, 'n': 953, 'trace_an': 0}
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id: 31461006
{'hecke_orbit_code': 9007955202541788, 'n': 961, 'trace_an': -18}
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id: 31461007
{'hecke_orbit_code': 9007955202541788, 'n': 967, 'trace_an': -20}
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id: 31461008
{'hecke_orbit_code': 9007955202541788, 'n': 971, 'trace_an': 0}
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id: 31461009
{'hecke_orbit_code': 9007955202541788, 'n': 977, 'trace_an': 0}
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id: 31461010
{'hecke_orbit_code': 9007955202541788, 'n': 983, 'trace_an': 0}
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id: 31461011
{'hecke_orbit_code': 9007955202541788, 'n': 991, 'trace_an': -44}
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id: 31461012
{'hecke_orbit_code': 9007955202541788, 'n': 997, 'trace_an': -98}