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mf_newforms • Show schema
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{'Nk2': 2052, 'analytic_conductor': 4.096325623691683, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [19, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [513, 1, [191, 325], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [-3, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288295937, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], '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': True, 'label': '513.2.a.c', 'level': 513, '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, 19], 'level_radical': 57, 'minimal_twist': '513.2.a.c', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+q^{4}-2\\beta q^{5}-4q^{7}-\\beta q^{8}+\\cdots', 'related_objects': ['ModularForm/GL2/ImaginaryQuadratic/2.0.3.1/29241.2/b', 'EllipticCurve/2.0.3.1/29241.2/b'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '513.2.a', 'trace_display': [0, 0, 0, -8], 'trace_hash': 1266207563128661124, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.889', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.535', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '138.452', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.509', 'prec': 17}, 'traces': [2, 0, 0, 2, 0, 0, -8, 0, 0, -12, 0, 0, -8, 0, 0, -10, 0, 0, 2, 0, 0, 18, 0, 0, 14, 0, 0, -8, 0, 0, -14, 0, 0, -12, 0, 0, -20, 0, 0, 12, 0, 0, 16, 0, 0, 12, 0, 0, 18, 0, 0, -8, 0, 0, -36, 0, 0, -6, 0, 0, -2, 0, 0, 2, 0, 0, -26, 0, 0, 48, 0, 0, -14, 0, 0, 2, 0, 0, -2, 0, 0, 6, 0, 0, 24, 0, 0, -18, 0, 0, 32, 0, 0, 30, 0, 0, 4, 0, 0, 14, 0, 0, -32, 0, 0, 30, 0, 0, -8, 0, 0, 40, 0, 0, -24, 0, 0, -12, 0, 0, 32, 0, 0, -14, 0, 0, -8, 0, 0, 48, 0, 0, -8, 0, 0, 12, 0, 0, 28, 0, 0, -12, 0, 0, 12, 0, 0, -20, 0, 0, 34, 0, 0, -72, 0, 0, 10, 0, 0, 36, 0, 0, -20, 0, 0, -18, 0, 0, 6, 0, 0, 16, 0, 0, -56, 0, 0, -6, 0, 0, 28, 0, 0, -12, 0, 0, -36, 0, 0, -12, 0, 0, -8, 0, 0, 18, 0, 0, 40, 0, 0, -60, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [1, 0], [0, -2], [0, 0], [-4, 0], [0, -1], [0, 0], [-6, 0], [0, 3], [0, 0], [-4, 0], [0, -4], [0, 0], [-5, 0], [0, -2], [0, 0], [1, 0], [0, -2], [0, 0], [9, 0], [0, 2], [0, 0], [7, 0], [0, -4], [0, 0], [-4, 0], [0, -1], [0, 0], [-7, 0], [0, -3], [0, 0], [-6, 0], [0, 8], [0, 0], [-10, 0], [0, 1], [0, 0], [6, 0], [0, 1], [0, 0], [8, 0], [0, 3], [0, 0], [6, 0], [0, 5], [0, 0], [9, 0], [0, 7], [0, 0], [-4, 0], [0, 5], [0, 0], [-18, 0], [0, 4], [0, 0], [-3, 0], [0, -2], [0, 0], [-1, 0], [0, -7], [0, 0], [1, 0], [0, 8], [0, 0], [-13, 0], [0, -2], [0, 0], [24, 0], [0, -2], [0, 0], [-7, 0], [0, -10], [0, 0], [1, 0], [0, -12], [0, 0], [-1, 0], [0, 10], [0, 0], [3, 0], [0, -3], [0, 0], [12, 0], [0, 8], [0, 0], [-9, 0], [0, -1], [0, 0], [16, 0], [0, 2], [0, 0], [15, 0], [0, -2], [0, 0], [2, 0], [0, 9], [0, 0], [7, 0]], 'ap': [[0, 1], [0, 0], [0, -2], [-4, 0], [0, 3], [-4, 0], [0, -2], [1, 0], [0, 2], [0, -1], [-7, 0], [-10, 0], [0, 1], [8, 0], [0, 5], [0, 5], [0, -2], [-1, 0], [-13, 0], [0, -2], [-7, 0], [-1, 0], [0, -3], [0, -1], [2, 0], [0, -10], [-16, 0], [0, -6], [-4, 0], [0, 3], [-4, 0], [0, -2], [0, -10], [14, 0], [0, 10], [17, 0], [5, 0], [-10, 0], [0, -4], [0, 7], [0, 6], [14, 0], [0, -9], [-4, 0], [0, 0], [20, 0], [-13, 0], [-1, 0], [0, -6], [-7, 0], [0, -2], [0, -9], [-10, 0], [0, 2], [0, -4], [0, 7], [0, 16], [14, 0], [-19, 0], [0, 8], [8, 0], [0, -3], [5, 0], [0, -15], [-7, 0], [0, -4], [-4, 0], [14, 0], [0, -2], [23, 0], [0, 18], [0, 10], [-28, 0], [-4, 0], [-1, 0], [0, -20], [0, -4], [11, 0], [0, -8], [-10, 0], [0, -9], [20, 0], [0, 20], [20, 0], [-19, 0], [0, 23], [0, -21], [23, 0], [0, 22], [-34, 0], [0, -3], [0, 2], [-43, 0], [0, 7], [-4, 0], [0, -1], [0, -1], [0, 12], [11, 0], [-7, 0], [-28, 0], [0, 20], [0, 12], [0, 12], [20, 0], [-34, 0], [0, -26], [0, -16], [0, -16], [-40, 0], [-43, 0], [-22, 0], [0, 20], [-40, 0], [-34, 0], [0, 7], [-4, 0], [0, 21], [0, 0], [0, -4], [26, 0], [-22, 0], [0, -24], [0, 12], [-10, 0], [0, 28], [26, 0], [0, 1], [26, 0], [5, 0], [2, 0], [0, 22], [-40, 0], [47, 0], [0, -24], [-22, 0], [0, 11], [-25, 0], [0, -9], [0, 12], [23, 0], [0, -22], [26, 0], [0, 8], [8, 0], [0, 4], [17, 0], [0, -5], [14, 0], [0, -18], [-40, 0], [0, -18], [-34, 0], [0, -16], [20, 0], [0, -12], [8, 0], [0, -8], [29, 0], [0, 32], [0, -29], [0, -17], [50, 0], [0, 16], [0, -15], [0, -8], [-16, 0], [-10, 0]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 9007199288295937, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '513.2.a.c', 'level': 513, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [5, 7, 7, 5], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3], 'ALdims_old': [7, 7, 9, 8], 'Nk2': 2052, 'analytic_conductor': 4.096325623691683, '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': [513, 1, [191, 325], [1, 1]], 'conrey_index': 1, 'cusp_dim': 55, 'dim': 24, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554945, 'hecke_orbit_dims': [1, 1, 2, 3, 3, 3, 3, 4, 4], 'label': '513.2.a', 'level': 513, '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, 19], 'level_radical': 57, 'mf_dim': 66, 'mf_new_dim': 24, 'num_forms': 9, 'plus_dim': 10, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 120, 'trace_bound': 4, 'trace_display': [0, 0, 0, 4], 'traces': [24, 0, 0, 24, 0, 0, 4, 0, 0, -4, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 20, 0, 0, 8, 0, 0, 16, 0, 0, 20, 0, 0, -44, 0, 0, 24, 0, 0, 12, 0, 0, 4, 0, 0, 28, 0, 0, -8, 0, 0, -12, 0, 0, -52, 0, 0, -32, 0, 0, -12, 0, 0, -36, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 56, 0, 0, -60, 0, 0, -84, 0, 0, 68, 0, 0, -12, 0, 0, 4, 0, 0, -20, 0, 0, -4, 0, 0, -8, 0, 0, -28, 0, 0, 92, 0, 0, 68, 0, 0, -56, 0, 0, 100, 0, 0, -52, 0, 0, -24, 0, 0, -120, 0, 0, -16, 0, 0, -36, 0, 0, 52, 0, 0, 84, 0, 0, -32, 0, 0, -136, 0, 0, 92, 0, 0, -80, 0, 0, 32, 0, 0, 64, 0, 0, 40, 0, 0, 20, 0, 0, -44, 0, 0, 72, 0, 0, 28, 0, 0, 8, 0, 0, 56, 0, 0, 48, 0, 0, 8, 0, 0, 16, 0, 0, -24, 0, 0, -112, 0, 0, 80, 0, 0, 12, 0, 0, 44, 0, 0, -44, 0, 0, 124, 0, 0, -40, 0, 0, 36, 0, 0, -36, 0, 0, 68, 0, 0, -40, 0, 0, -56, 0, 0, -72, 0, 0, 36, 0, 0, 92, 0, 0, -76, 0, 0, 44, 0, 0, 4, 0, 0, -48, 0, 0, -76, 0, 0, -216, 0, 0, 24, 0, 0, 80, 0, 0, -144, 0, 0, -12, 0, 0, -120, 0, 0, -60, 0, 0, -72, 0, 0, -84, 0, 0, 88, 0, 0, 116, 0, 0, 4, 0, 0, 48, 0, 0, 108, 0, 0, 36, 0, 0, -88, 0, 0, 0, 0, 0, 72, 0, 0, 340, 0, 0, -64, 0, 0, 32, 0, 0, -152, 0, 0, 176, 0, 0, -112, 0, 0, 120, 0, 0, 92, 0, 0, 64, 0, 0, 8, 0, 0, -72, 0, 0, 80, 0, 0, 196, 0, 0, -28, 0, 0, -64, 0, 0, -24, 0, 0, 52, 0, 0, 24, 0, 0, 124, 0, 0, -136, 0, 0, 148, 0, 0, -28, 0, 0, 300, 0, 0, 28, 0, 0, 96, 0, 0, 84, 0, 0, -64, 0, 0, -68, 0, 0, -132, 0, 0, 92, 0, 0, -272, 0, 0, -144, 0, 0, -128, 0, 0, 132, 0, 0, 136, 0, 0, -28, 0, 0, 32, 0, 0, -144, 0, 0, -36, 0, 0, -52, 0, 0, -116, 0, 0, 44, 0, 0, -260, 0, 0, -8, 0, 0, 136, 0, 0, -136, 0, 0, -152, 0, 0, -216, 0, 0, -12, 0, 0, 40, 0, 0, -44, 0, 0, 60, 0, 0, -256, 0, 0, 32, 0, 0, 96, 0, 0, -8, 0, 0, -84, 0, 0, 120, 0, 0, 248, 0, 0, 0, 0, 0, -416, 0, 0, 164, 0, 0, 116, 0, 0, -212, 0, 0, 196, 0, 0, -56, 0, 0, 156, 0, 0, -236, 0, 0, 56, 0, 0, 204, 0, 0, -180, 0, 0, 72, 0, 0, -52, 0, 0, 132, 0, 0, -32, 0, 0, 224, 0, 0, -284, 0, 0, -152, 0, 0, 76, 0, 0, -84, 0, 0, 28, 0, 0, -32, 0, 0, 92, 0, 0, -140, 0, 0, 44, 0, 0, -48, 0, 0, 84, 0, 0, -140, 0, 0, 168, 0, 0, -192, 0, 0, -4, 0, 0, 100, 0, 0, 76, 0, 0, 20, 0, 0, -112, 0, 0, -96, 0, 0, -176, 0, 0, -88, 0, 0, -56, 0, 0, -28, 0, 0, -232, 0, 0, -168, 0, 0, -384, 0, 0, -16, 0, 0, -16, 0, 0, 104, 0, 0, 328, 0, 0, 56, 0, 0, 164, 0, 0, 132, 0, 0, -36, 0, 0, -156, 0, 0, -80, 0, 0, -20, 0, 0, 164, 0, 0, 76, 0, 0, -156, 0, 0, -96, 0, 0, 300, 0, 0, 0, 0, 0, 136, 0, 0, 100, 0, 0, 152, 0, 0, 152, 0, 0, -60, 0, 0, 24, 0, 0, 24, 0, 0, -108, 0, 0, 236, 0, 0, -204, 0, 0, -220, 0, 0, 8, 0, 0, 380, 0, 0, -164, 0, 0, 168, 0, 0, 360, 0, 0, 336, 0, 0, 220, 0, 0, 352, 0, 0, 128, 0, 0, 404, 0, 0, 24, 0, 0, 56, 0, 0, -20, 0, 0, -236, 0, 0, -288, 0, 0, 76, 0, 0, -52, 0, 0, 44, 0, 0, 152, 0, 0, 84, 0, 0, -164, 0, 0, -264, 0, 0, -232, 0, 0, -24, 0, 0, 236, 0, 0, -516, 0, 0, 36, 0, 0, 8, 0, 0, -256, 0, 0, -108, 0, 0, 196, 0, 0, 364, 0, 0, 84, 0, 0, -284, 0, 0, 120, 0, 0, 120, 0, 0, 212, 0, 0, 36, 0, 0, 24, 0, 0, -32, 0, 0, 348, 0, 0, -20, 0, 0, 164, 0, 0, -100, 0, 0, 180, 0, 0, -148, 0, 0, 12, 0, 0, 380, 0, 0, -64, 0, 0, 56, 0, 0, -180, 0, 0, -132, 0, 0, 136, 0, 0, 68, 0, 0, -380, 0, 0, -204, 0, 0, 268, 0, 0, 8, 0, 0, 64, 0, 0, -324, 0, 0, -76, 0, 0, -32, 0, 0, 232, 0, 0, -32, 0, 0, -56, 0, 0, -136, 0, 0, -52, 0, 0, -12, 0, 0, 84, 0, 0, -408, 0, 0, -180, 0, 0, -412, 0, 0, 204, 0, 0, 24, 0, 0, 92, 0, 0, -44, 0, 0, 32, 0, 0, 36, 0, 0, 4, 0, 0, 216, 0, 0, 260, 0, 0, -388, 0, 0, -232, 0, 0, -336, 0, 0, 60, 0, 0, -312, 0, 0, 116, 0, 0, 64, 0, 0, 228, 0, 0, -52, 0, 0, 140, 0, 0, -16, 0, 0, -372, 0, 0, 56, 0, 0, 20, 0, 0, -112, 0, 0, 136, 0, 0, 348, 0, 0, 308, 0, 0, 48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 362836
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '513.2.a.c', 'source_level': 513, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '513.2.a.c', 'target_level': 513, 'twist_class_label': '513.2.a.c', 'twist_class_level': 513, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 362837
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '513.2.a.c', 'source_level': 513, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '513.2.a.c', 'target_level': 513, 'twist_class_label': '513.2.a.c', 'twist_class_level': 513, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 362838
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '513.2.a.c', 'source_level': 513, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8208.2.a.bb', 'target_level': 8208, 'twist_class_label': '513.2.a.c', 'twist_class_level': 513, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 362839
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '513.2.a.c', 'source_level': 513, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8208.2.a.bb', 'target_level': 8208, 'twist_class_label': '513.2.a.c', 'twist_class_level': 513, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 362840
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '513.2.a.c', 'source_level': 513, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '9747.2.a.p', 'target_level': 9747, 'twist_class_label': '513.2.a.c', 'twist_class_level': 513, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 362841
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '513.2.a.c', 'source_level': 513, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '9747.2.a.p', 'target_level': 9747, 'twist_class_label': '513.2.a.c', 'twist_class_level': 513, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 990650
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 2}
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id: 990651
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 3}
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id: 990652
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 5}
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id: 990653
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 7}
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id: 990654
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 11}
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id: 990655
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 13}
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id: 990656
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 17}
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id: 990657
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 19}
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id: 990658
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 23}
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id: 990659
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 29}
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id: 990660
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 31}
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id: 990661
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 37}
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id: 990662
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 41}
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id: 990663
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 43}
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id: 990664
{'charpoly_factorization': [[[-75, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 47}
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id: 990665
{'charpoly_factorization': [[[-75, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 53}
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id: 990666
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 59}
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id: 990667
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 61}
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id: 990668
{'charpoly_factorization': [[[13, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 67}
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id: 990669
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 71}
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id: 990670
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 73}
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id: 990671
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 79}
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id: 990672
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 83}
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id: 990673
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 9007199288295937, 'p': 89}
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id: 990674
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007199288295937, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '513.2.a.c', 'level': 513, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 26100031
{'hecke_orbit_code': 9007199288295937, 'n': 1, 'trace_an': 2}
-
id: 26100032
{'hecke_orbit_code': 9007199288295937, 'n': 2, 'trace_an': 0}
-
id: 26100033
{'hecke_orbit_code': 9007199288295937, 'n': 3, 'trace_an': 0}
-
id: 26100034
{'hecke_orbit_code': 9007199288295937, 'n': 4, 'trace_an': 2}
-
id: 26100035
{'hecke_orbit_code': 9007199288295937, 'n': 5, 'trace_an': 0}
-
id: 26100036
{'hecke_orbit_code': 9007199288295937, 'n': 6, 'trace_an': 0}
-
id: 26100037
{'hecke_orbit_code': 9007199288295937, 'n': 7, 'trace_an': -8}
-
id: 26100038
{'hecke_orbit_code': 9007199288295937, 'n': 8, 'trace_an': 0}
-
id: 26100039
{'hecke_orbit_code': 9007199288295937, 'n': 9, 'trace_an': 0}
-
id: 26100040
{'hecke_orbit_code': 9007199288295937, 'n': 10, 'trace_an': -12}
-
id: 26100041
{'hecke_orbit_code': 9007199288295937, 'n': 11, 'trace_an': 0}
-
id: 26100042
{'hecke_orbit_code': 9007199288295937, 'n': 12, 'trace_an': 0}
-
id: 26100043
{'hecke_orbit_code': 9007199288295937, 'n': 13, 'trace_an': -8}
-
id: 26100044
{'hecke_orbit_code': 9007199288295937, 'n': 14, 'trace_an': 0}
-
id: 26100045
{'hecke_orbit_code': 9007199288295937, 'n': 15, 'trace_an': 0}
-
id: 26100046
{'hecke_orbit_code': 9007199288295937, 'n': 16, 'trace_an': -10}
-
id: 26100047
{'hecke_orbit_code': 9007199288295937, 'n': 17, 'trace_an': 0}
-
id: 26100048
{'hecke_orbit_code': 9007199288295937, 'n': 18, 'trace_an': 0}
-
id: 26100049
{'hecke_orbit_code': 9007199288295937, 'n': 19, 'trace_an': 2}
-
id: 26100050
{'hecke_orbit_code': 9007199288295937, 'n': 20, 'trace_an': 0}
-
id: 26100051
{'hecke_orbit_code': 9007199288295937, 'n': 21, 'trace_an': 0}
-
id: 26100052
{'hecke_orbit_code': 9007199288295937, 'n': 22, 'trace_an': 18}
-
id: 26100053
{'hecke_orbit_code': 9007199288295937, 'n': 23, 'trace_an': 0}
-
id: 26100054
{'hecke_orbit_code': 9007199288295937, 'n': 24, 'trace_an': 0}
-
id: 26100055
{'hecke_orbit_code': 9007199288295937, 'n': 25, 'trace_an': 14}
-
id: 26100056
{'hecke_orbit_code': 9007199288295937, 'n': 26, 'trace_an': 0}
-
id: 26100057
{'hecke_orbit_code': 9007199288295937, 'n': 27, 'trace_an': 0}
-
id: 26100058
{'hecke_orbit_code': 9007199288295937, 'n': 28, 'trace_an': -8}
-
id: 26100059
{'hecke_orbit_code': 9007199288295937, 'n': 29, 'trace_an': 0}
-
id: 26100060
{'hecke_orbit_code': 9007199288295937, 'n': 30, 'trace_an': 0}
-
id: 26100061
{'hecke_orbit_code': 9007199288295937, 'n': 31, 'trace_an': -14}
-
id: 26100062
{'hecke_orbit_code': 9007199288295937, 'n': 32, 'trace_an': 0}
-
id: 26100063
{'hecke_orbit_code': 9007199288295937, 'n': 33, 'trace_an': 0}
-
id: 26100064
{'hecke_orbit_code': 9007199288295937, 'n': 34, 'trace_an': -12}
-
id: 26100065
{'hecke_orbit_code': 9007199288295937, 'n': 35, 'trace_an': 0}
-
id: 26100066
{'hecke_orbit_code': 9007199288295937, 'n': 36, 'trace_an': 0}
-
id: 26100067
{'hecke_orbit_code': 9007199288295937, 'n': 37, 'trace_an': -20}
-
id: 26100068
{'hecke_orbit_code': 9007199288295937, 'n': 38, 'trace_an': 0}
-
id: 26100069
{'hecke_orbit_code': 9007199288295937, 'n': 39, 'trace_an': 0}
-
id: 26100070
{'hecke_orbit_code': 9007199288295937, 'n': 40, 'trace_an': 12}
-
id: 26100071
{'hecke_orbit_code': 9007199288295937, 'n': 41, 'trace_an': 0}
-
id: 26100072
{'hecke_orbit_code': 9007199288295937, 'n': 42, 'trace_an': 0}
-
id: 26100073
{'hecke_orbit_code': 9007199288295937, 'n': 43, 'trace_an': 16}
-
id: 26100074
{'hecke_orbit_code': 9007199288295937, 'n': 44, 'trace_an': 0}
-
id: 26100075
{'hecke_orbit_code': 9007199288295937, 'n': 45, 'trace_an': 0}
-
id: 26100076
{'hecke_orbit_code': 9007199288295937, 'n': 46, 'trace_an': 12}
-
id: 26100077
{'hecke_orbit_code': 9007199288295937, 'n': 47, 'trace_an': 0}
-
id: 26100078
{'hecke_orbit_code': 9007199288295937, 'n': 48, 'trace_an': 0}
-
id: 26100079
{'hecke_orbit_code': 9007199288295937, 'n': 49, 'trace_an': 18}
-
id: 26100080
{'hecke_orbit_code': 9007199288295937, 'n': 50, 'trace_an': 0}
-
id: 26100081
{'hecke_orbit_code': 9007199288295937, 'n': 51, 'trace_an': 0}
-
id: 26100082
{'hecke_orbit_code': 9007199288295937, 'n': 52, 'trace_an': -8}
-
id: 26100083
{'hecke_orbit_code': 9007199288295937, 'n': 53, 'trace_an': 0}
-
id: 26100084
{'hecke_orbit_code': 9007199288295937, 'n': 54, 'trace_an': 0}
-
id: 26100085
{'hecke_orbit_code': 9007199288295937, 'n': 55, 'trace_an': -36}
-
id: 26100086
{'hecke_orbit_code': 9007199288295937, 'n': 56, 'trace_an': 0}
-
id: 26100087
{'hecke_orbit_code': 9007199288295937, 'n': 57, 'trace_an': 0}
-
id: 26100088
{'hecke_orbit_code': 9007199288295937, 'n': 58, 'trace_an': -6}
-
id: 26100089
{'hecke_orbit_code': 9007199288295937, 'n': 59, 'trace_an': 0}
-
id: 26100090
{'hecke_orbit_code': 9007199288295937, 'n': 60, 'trace_an': 0}
-
id: 26100091
{'hecke_orbit_code': 9007199288295937, 'n': 61, 'trace_an': -2}
-
id: 26100092
{'hecke_orbit_code': 9007199288295937, 'n': 62, 'trace_an': 0}
-
id: 26100093
{'hecke_orbit_code': 9007199288295937, 'n': 63, 'trace_an': 0}
-
id: 26100094
{'hecke_orbit_code': 9007199288295937, 'n': 64, 'trace_an': 2}
-
id: 26100095
{'hecke_orbit_code': 9007199288295937, 'n': 65, 'trace_an': 0}
-
id: 26100096
{'hecke_orbit_code': 9007199288295937, 'n': 66, 'trace_an': 0}
-
id: 26100097
{'hecke_orbit_code': 9007199288295937, 'n': 67, 'trace_an': -26}
-
id: 26100098
{'hecke_orbit_code': 9007199288295937, 'n': 68, 'trace_an': 0}
-
id: 26100099
{'hecke_orbit_code': 9007199288295937, 'n': 69, 'trace_an': 0}
-
id: 26100100
{'hecke_orbit_code': 9007199288295937, 'n': 70, 'trace_an': 48}
-
id: 26100101
{'hecke_orbit_code': 9007199288295937, 'n': 71, 'trace_an': 0}
-
id: 26100102
{'hecke_orbit_code': 9007199288295937, 'n': 72, 'trace_an': 0}
-
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