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{'Nk2': 34048, 'analytic_conductor': 67.96866220051386, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [19, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8512, 1, [5055, 6917, 7297, 3137], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 229, 'field_disc_factorization': [[229, 1]], 'field_poly': [-1, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-4, -1, 3, 1]], [5, [2, -5, -2, 1]], [11, [4, 11, 7, 1]], [23, [-56, 53, -14, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364159808, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8512.2.a.bi', 'level': 8512, '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, 19], 'level_radical': 266, 'minimal_twist': '133.2.a.d', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+(1-\\beta _{1}+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8512.2.a', 'trace_display': [0, -3, 2, -3], 'trace_hash': 828325697681363379, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, 0, 0], [-1, 1, 0], [0, 0, 0], [1, -1, 1], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [1, -2, 1], [0, 0, 0], [-2, 0, 1], [0, 0, 0], [1, -1, 1], [0, 0, 0], [-3, 3, -2], [0, 0, 0], [2, -2, -1], [0, 0, 0], [-1, 0, 0], [0, 0, 0], [1, -1, 0], [0, 0, 0], [5, 1, 1], [0, 0, 0], [0, -3, 1], [0, 0, 0], [-3, 1, -3], [0, 0, 0], [0, 4, -3], [0, 0, 0], [-4, 2, -1], [0, 0, 0], [3, -1, -1], [0, 0, 0], [-1, 1, -1], [0, 0, 0], [-1, 1, -3], [0, 0, 0], [-3, 3, -2], [0, 0, 0], [-2, 6, 1], [0, 0, 0], [2, -2, 2], [0, 0, 0], [7, -5, 2], [0, 0, 0], [3, 3, 1], [0, 0, 0], [1, 0, 0], [0, 0, 0], [-9, 3, -1], [0, 0, 0], [1, 1, 2], [0, 0, 0], [0, 2, -3], [0, 0, 0], [1, -1, 0], [0, 0, 0], [3, 3, -1], [0, 0, 0], [1, -1, -3], [0, 0, 0], [-1, 2, -1], [0, 0, 0], [5, -3, 1], [0, 0, 0], [0, -2, -3], [0, 0, 0], [-1, 5, 0], [0, 0, 0], [-1, -1, -3], [0, 0, 0], [-1, -1, -4], [0, 0, 0], [-8, 4, -4], [0, 0, 0], [2, 0, -1], [0, 0, 0], [-2, -2, -2], [0, 0, 0], [0, -1, 1], [0, 0, 0], [-11, -1, -2], [0, 0, 0], [4, -6, 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[-35, -7, -8], [36, 10, -17], [16, -8, -13], [50, 6, 3], [22, -22, 20], [-11, -31, 3], [24, 22, -22], [4, -6, -1], [41, -13, 31], [-3, 41, -20], [37, 9, 13], [-22, 26, -8], [31, -9, 11], [40, 22, -2], [-17, 1, -15], [-34, 16, 3], [-52, -14, 6], [-36, 10, -11], [-18, 38, -12], [-40, 8, -8], [-24, -6, 16], [-13, 33, 20], [-3, 33, -28], [4, 36, -2], [21, 5, -25], [-6, -8, 8], [-19, -5, 17], [1, 19, 15], [17, 7, -19], [-44, -2, -8], [15, 35, -5], [-19, -33, -5], [18, 6, -14], [-4, -20, 8], [26, -24, -3], [17, 5, -4], [-7, 9, -15], [-55, 15, -2], [-50, 22, -15], [-17, -5, -2], [-7, -23, 1], [-4, 6, -13], [-35, 1, -23], [-53, 21, -3], [-23, -7, -29], [-4, -6, 6], [-26, 10, -2], [5, 5, -26], [13, -37, 29], [27, 17, -9], [-19, -15, -3], [5, -1, 31], [36, 12, -13], [41, -21, 0], [-4, -36, 23], [-2, 4, 0], [-2, -22, 2], [6, -12, 19], [41, -5, 11], [-25, 5, -5], [-12, 2, 5], [-21, -23, 10], [26, -36, 22], [0, -12, 21], [-13, -1, 3], [-3, -13, 14], [53, 27, -19], [-33, 33, -22], [-57, -15, 5], [35, -11, -3], [-23, 13, -11], [-7, -21, 18], [-8, 36, -23], [45, -13, 9], [32, -34, -3], [47, 13, 11], [-23, 37, -1], [40, -20, -2]], 'char_orbit_index': 1, 'field_poly': [-1, -4, 0, 1], 'hecke_orbit_code': 153122387364159808, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '8512.2.a.bi', 'level': 8512, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [26, 28, 27, 25, 28, 26, 27, 29], 'Nk2': 34048, 'analytic_conductor': 67.96866220051386, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8512, 1, [5055, 6917, 7297, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1257, 'dim': 216, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11, 23], 'hecke_orbit_code': 33562944, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 10, 10], 'label': '8512.2.a', 'level': 8512, '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, 19], 'level_radical': 266, 'mf_dim': 1304, 'mf_new_dim': 216, 'num_forms': 64, 'plus_dim': 104, 'prim_orbit_index': 1, 'relative_dim': 216, 'sturm_bound': 2560, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [216, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 216, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 96, 0, 0, 0, 184, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -80, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 48, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 296, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -112, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -96, 0, 0, 0, -112, 0, 0, 0, 80, 0, 0, 0, -256, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -192, 0, 0, 0, -384, 0, 0, 0, 48, 0, 0, 0, -256, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -208, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, -160, 0, 0, 0, -176, 0, 0, 0, 96, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, -48, 0, 0, 0, 128, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 80, 0, 0, 0, 160, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -112, 0, 0, 0, -64, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, 176, 0, 0, 0, 128, 0, 0, 0, -288, 0, 0, 0, 16, 0, 0, 0, -288, 0, 0, 0, -80, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 288, 0, 0, 0, 48, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -144, 0, 0, 0, -192, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, -80, 0, 0, 0, -272, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -176, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, -320, 0, 0, 0, 112, 0, 0, 0, -192, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 112, 0, 0, 0, -168, 0, 0, 0, -96, 0, 0, 0, -96, 0, 0, 0, 128, 0, 0, 0, -320, 0, 0, 0, 112, 0, 0, 0, -128, 0, 0, 0, -272, 0, 0, 0, 80, 0, 0, 0, 480, 0, 0, 0, 208, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -256, 0, 0, 0, 416, 0, 0, 0, -192, 0, 0, 0, -96, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -192, 0, 0, 0, 288, 0, 0, 0, 16, 0, 0, 0, 160, 0, 0, 0, 456, 0, 0, 0, 416, 0, 0, 0, -256, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, -112, 0, 0, 0, 272, 0, 0, 0, -80, 0, 0, 0, 448, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, -192, 0, 0, 0, 160, 0, 0, 0, 192, 0, 0, 0, -176, 0, 0, 0, -48, 0, 0, 0, 320, 0, 0, 0, 48, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, 480, 0, 0, 0, 344, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 464, 0, 0, 0, -256, 0, 0, 0, 448, 0, 0, 0, -320, 0, 0, 0, 512, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1394761
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '133.2.a.d', 'target_level': 133, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1394762
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '931.2.a.k', 'target_level': 931, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1394763
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '931.2.f.l', 'target_level': 931, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1394764
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '931.2.f.m', 'target_level': 931, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1394765
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1197.2.a.k', 'target_level': 1197, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1394766
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2128.2.a.p', 'target_level': 2128, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1394767
{'conductor': 152, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2527.2.a.f', 'target_level': 2527, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '152.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1394768
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3325.2.a.r', 'target_level': 3325, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1394769
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '8379.2.a.bo', 'target_level': 8379, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1394770
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '8512.2.a.bi', 'target_level': 8512, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1394771
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '8512.2.a.bi', 'source_level': 8512, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '8512.2.a.bp', 'target_level': 8512, 'twist_class_label': '133.2.a.d', 'twist_class_level': 133, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4772175
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 153122387364159808, 'p': 2}
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id: 4772176
{'charpoly_factorization': [[[-4, -1, 3, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 3}
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id: 4772177
{'charpoly_factorization': [[[2, -5, -2, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 5}
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id: 4772178
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 153122387364159808, 'p': 7}
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id: 4772179
{'charpoly_factorization': [[[4, 11, 7, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 11}
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id: 4772180
{'charpoly_factorization': [[[2, -5, -2, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 13}
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id: 4772181
{'charpoly_factorization': [[[106, -11, -7, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 17}
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id: 4772182
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 153122387364159808, 'p': 19}
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id: 4772183
{'charpoly_factorization': [[[-56, 53, -14, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 23}
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id: 4772184
{'charpoly_factorization': [[[278, -73, -3, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 29}
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id: 4772185
{'charpoly_factorization': [[[16, 25, 11, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 31}
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id: 4772186
{'charpoly_factorization': [[[-106, -43, 0, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 37}
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id: 4772187
{'charpoly_factorization': [[[-998, -151, 7, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 41}
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id: 4772188
{'charpoly_factorization': [[[16, -20, -4, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 43}
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id: 4772189
{'charpoly_factorization': [[[-16, -29, -8, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 47}
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id: 4772190
{'charpoly_factorization': [[[2, -31, -1, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 53}
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id: 4772191
{'charpoly_factorization': [[[124, 1, -10, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 59}
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id: 4772192
{'charpoly_factorization': [[[82, -49, -6, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 61}
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id: 4772193
{'charpoly_factorization': [[[188, -79, -3, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 67}
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id: 4772194
{'charpoly_factorization': [[[-32, -61, 0, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 71}
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id: 4772195
{'charpoly_factorization': [[[-98, -101, -1, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 73}
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id: 4772196
{'charpoly_factorization': [[[32, -44, 4, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 79}
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id: 4772197
{'charpoly_factorization': [[[788, 289, 31, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 83}
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id: 4772198
{'charpoly_factorization': [[[-1352, 104, 28, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 89}
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id: 4772199
{'charpoly_factorization': [[[482, 243, 30, 1], 1]], 'hecke_orbit_code': 153122387364159808, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '8512.2.a.bi', 'level': 8512, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 69621019
{'hecke_orbit_code': 153122387364159808, 'n': 1, 'trace_an': 3}
-
id: 69621020
{'hecke_orbit_code': 153122387364159808, 'n': 2, 'trace_an': 0}
-
id: 69621021
{'hecke_orbit_code': 153122387364159808, 'n': 3, 'trace_an': -3}
-
id: 69621022
{'hecke_orbit_code': 153122387364159808, 'n': 4, 'trace_an': 0}
-
id: 69621023
{'hecke_orbit_code': 153122387364159808, 'n': 5, 'trace_an': 2}
-
id: 69621024
{'hecke_orbit_code': 153122387364159808, 'n': 6, 'trace_an': 0}
-
id: 69621025
{'hecke_orbit_code': 153122387364159808, 'n': 7, 'trace_an': -3}
-
id: 69621026
{'hecke_orbit_code': 153122387364159808, 'n': 8, 'trace_an': 0}
-
id: 69621027
{'hecke_orbit_code': 153122387364159808, 'n': 9, 'trace_an': 2}
-
id: 69621028
{'hecke_orbit_code': 153122387364159808, 'n': 10, 'trace_an': 0}
-
id: 69621029
{'hecke_orbit_code': 153122387364159808, 'n': 11, 'trace_an': -7}
-
id: 69621030
{'hecke_orbit_code': 153122387364159808, 'n': 12, 'trace_an': 0}
-
id: 69621031
{'hecke_orbit_code': 153122387364159808, 'n': 13, 'trace_an': 2}
-
id: 69621032
{'hecke_orbit_code': 153122387364159808, 'n': 14, 'trace_an': 0}
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id: 69621033
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id: 69621231
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id: 69621234
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id: 69621235
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id: 69621236
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id: 69621237
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id: 69621238
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id: 69621239
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id: 69621241
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id: 69621242
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id: 69621243
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id: 69621244
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id: 69621245
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id: 69621246
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id: 69621247
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id: 69621248
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id: 69621249
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id: 69621250
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id: 69621251
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id: 69621252
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id: 69621253
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id: 69621254
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id: 69621255
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id: 69621256
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id: 69621257
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id: 69621258
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id: 69621259
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id: 69621260
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id: 69621261
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id: 69621262
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id: 69621263
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id: 69621269
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id: 69621271
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id: 69621272
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id: 69621273
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id: 69621274
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id: 69621275
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id: 69621276
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