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mf_newforms • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [585, 2, [326, 352, 496], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 469, 'conrey_indexes': [469], 'dim': 6, 'field_disc': -350464, 'field_disc_factorization': [[-1, 1], [2, 8], [37, 2]], 'field_poly': [2, -4, 4, 2, 2, -2, 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, [25, 0, 31, 0, 11, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099878985, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '585.2.c.b', 'level': 585, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'minimal_twist': '65.2.b.a', 'nf_label': '6.0.350464.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(\\beta _{3}-\\beta _{5})q^{2}+(-2-\\beta _{1}-\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '585.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1069698832668460045, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.363', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '143.485', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', '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, 1, 0, -1], [0, 0, 0, 0, 0, 0], [-2, -1, -1, 0, 0, 0], [0, -1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 1, -1], [0, 0, 0, -4, 3, 0], [0, 0, 0, 0, 0, 0], [1, 0, 2, -3, 1, 0], [2, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [-1, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [3, 2, 4, 0, 0, 0], [0, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [4, 1, 2, 3, -2, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 5, -1, -2], [0, 0, 0, -5, 1, 0], [0, 0, 0, 0, 0, 0], [1, -2, 2, 2, -2, 0], [1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, -1, -1], [3, -3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-4, 1, -2, 0, 0, 0], [0, 0, 0, 5, -4, -3], [0, 0, 0, 0, 0, 0], [4, -2, 2, 0, 0, 0], [-1, -1, 1, -2, 0, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 3, -1], [0, 0, 0, 3, -1, 0], [0, 0, 0, 0, 0, 0], [-6, -3, -1, 3, -3, -4], [2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 3, 2], [-8, -3, -4, 0, 0, 0], [0, 0, 0, 0, 0, 0], [6, 5, 2, 0, 0, 0], [0, 0, 0, 3, 1, -1], [0, 0, 0, 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-11, 26, 0, 0, 0], [0, 0, 0, 27, 1, -3], [10, 2, 10, 0, 0, 0], [0, 0, 0, -34, 10, -8], [24, 6, -10, 0, 0, 0], [-4, -18, -10, 0, 0, 0], [0, 0, 0, -13, 19, 3], [0, 0, 0, -1, 1, -15], [0, 0, 0, -4, -6, -2], [25, 7, 5, 0, 0, 0], [8, 7, 2, 0, 0, 0], [24, -2, 20, 0, 0, 0], [0, 0, 0, 7, -1, 2], [0, 0, 0, 27, 9, -3], [3, -13, 15, 0, 0, 0], [-2, -9, -24, 0, 0, 0], [0, 0, 0, 15, 11, 3], [0, 0, 0, 0, -4, 4], [-20, 10, 0, 0, 0, 0], [0, 0, 0, -13, -3, -17], [0, 0, 0, 12, 14, 8], [-5, -1, 3, 0, 0, 0], [0, 0, 0, -17, 5, -12], [0, 0, 0, -9, -1, -14], [0, 0, 0, 11, -5, -20], [4, 14, -12, 0, 0, 0], [-12, -8, 8, 0, 0, 0], [-28, 4, 8, 0, 0, 0], [0, 0, 0, 6, -10, 22], [-18, 6, 20, 0, 0, 0], [0, 0, 0, 23, 13, 5], [0, 0, 0, -16, 16, -8], [0, 0, 0, 3, -23, 15], [0, -18, 0, 0, 0, 0], [0, 0, 0, 23, 3, -5], [0, 0, 0, 15, -23, 17], [-14, -8, -14, 0, 0, 0], [0, 0, 0, -36, -4, 2]], 'char_orbit_index': 3, 'field_poly': [2, -4, 4, 2, 2, -2, 1], 'hecke_orbit_code': 4503737099878985, 'hecke_ring_character_values': [[326, [1, 0, 0, 0, 0, 0]], [352, [-1, 0, 0, 0, 0, 0]], [496, [1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 23, 23, 23, 23, 23], 'hecke_ring_inverse_denominators': [1, 2, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [1, -1, 1, 1, -1, 1], [0, 0, 0, 2, 0, 1], [-2, 2, -1, 2, -1, 2], [-7, 5, -1, 0, 0, 0], [-9, 8, -3, -9, 3, -8]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [38, 2, -1, -4, 8, -1], [29, 10, -5, -20, 17, -5], [-13, 32, 30, 5, -10, 7], [27, -70, -11, -21, 19, -11], [26, -64, -37, -10, 20, -14]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '585.2.c.b', 'level': 585, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2340, 'analytic_conductor': 4.671248518244902, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [585, 2, [326, 352, 496], [2, 1, 2]], 'conrey_index': 469, 'cusp_dim': 76, 'dim': 30, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137472508489, 'hecke_orbit_dims': [2, 6, 10, 12], 'label': '585.2.c', 'level': 585, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 13], 'level_radical': 195, 'mf_dim': 92, 'mf_new_dim': 30, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 30, 'sturm_bound': 168, 'trace_bound': 1, 'trace_display': [0, 0, 4, 0], 'traces': [30, 0, 0, -26, 4, 0, 0, 0, 0, -14, 4, 0, 0, 16, 0, 26, 0, 0, 16, -8, 0, 0, 0, 0, 10, 6, 0, 0, 12, 0, -20, 0, 0, -28, -16, 0, 0, 0, 0, 30, 16, 0, 0, 0, 0, 48, 0, 0, -62, -56, 0, 0, 0, 0, -8, -40, 0, 0, 8, 0, 4, 0, 0, -18, -2, 0, 0, 0, 0, -28, 16, 0, 0, 20, 0, -68, 0, 0, 8, -28, 0, 0, 0, 0, 28, 32, 0, 0, 28, 0, -12, 0, 0, 96, 40, 0, 0, 0, 0, 2, -76, 0, 0, -18, 0, -56, 0, 0, -48, -4, 0, 0, 0, 0, -20, 36, 0, 0, -32, 0, 118, 0, 0, 128, 28, 0, 0, 0, 0, -8, -40, 0, 0, 32, 0, -36, 0, 0, 0, 32, 0, 0, 0, 0, -36, 44, 0, 0, -40, 0, -16, 0, 0, -60, 56, 0, 0, 0, 0, 26, -92, 0, 0, -96, 0, -72, 0, 0, -30, 8, 0, 0, 0, 0, -24, 124, 0, 0, 24, 0, 36, 0, 0, -92, -4, 0, 0, 0, 0, 16, 64, 0, 0, -116, 0, 170, 0, 0, 48, 152, 0, 0, 0, 0, -80, 36, 0, 0, 136, 0, 64, 0, 0, 112, -44, 0, 0, 0, 0, -32, 20, 0, 0, -48, 0, 92, 0, 0, 36, -160, 0, 0, 0, 0, 16, 20, 0, 0, -60, 0, -104, 0, 0, -148, -84, 0, 0, 0, 0, 70, -144, 0, 0, -132, 0, -198, 0, 0, 128, -14, 0, 0, 0, 0, -104, 244, 0, 0, 12, 0, -160, 0, 0, 132, 44, 0, 0, 0, 0, 60, 0, 0, 0, 108, 0, -52, 0, 0, 62, 132, 0, 0, 0, 0, 8, -220, 0, 0, -36, 0, 84, 0, 0, -80, -68, 0, 0, 0, 0, 36, -8, 0, 0, 36, 0, -40, 0, 0, 4, 88, 0, 0, 0, 0, -8, -80, 0, 0, 88, 0, -124, 0, 0, -40, 64, 0, 0, 0, 0, 44, -32, 0, 0, -188, 0, 8, 0, 0, -60, 48, 0, 0, 0, 0, -112, -324, 0, 0, -88, 0, 134, 0, 0, 36, -44, 0, 0, 0, 0, 220, 40, 0, 0, 200, 0, -96, 0, 0, 228, 56, 0, 0, 0, 0, -92, 180, 0, 0, -52, 0, -40, 0, 0, -76, 176, 0, 0, 0, 0, -34, 60, 0, 0, 204, 0, -24, 0, 0, -40, -32, 0, 0, 0, 0, 64, 62, 0, 0, 128, 0, -16, 0, 0, 176, -144, 0, 0, 0, 0, -48, 68, 0, 0, 140, 0, 120, 0, 0, 152, -224, 0, 0, 0, 0, 120, -320, 0, 0, 104, 0, -64, 0, 0, -112, -4, 0, 0, 0, 0, 16, 260, 0, 0, -36, 0, 104, 0, 0, -200, -52, 0, 0, 0, 0, 88, 32, 0, 0, -40, 0, -8, 0, 0, -338, 52, 0, 0, 0, 0, 230, -24, 0, 0, -32, 0, -140, 0, 0, -72, -176, 0, 0, 0, 0, 88, 64, 0, 0, 4, 0, 72, 0, 0, -120, 32, 0, 0, 0, 0, 68, -244, 0, 0, 144, 0, -36, 0, 0, 122, 32, 0, 0, 0, 0, 108, -112, 0, 0, -164, 0, -28, 0, 0, 84, -40, 0, 0, 0, 0, -240, -164, 0, 0, 8, 0, 144, 0, 0, 44, 64, 0, 0, 0, 0, 52, 208, 0, 0, 12, 0, 8, 0, 0, -224, -32, 0, 0, 0, 0, 68, 208, 0, 0, -92, 0, -4, 0, 0, -120, 232, 0, 0, 0, 0, 0, 192, 0, 0, 136, 0, 84, 0, 0, -36, -136, 0, 0, 0, 0, -228, 60, 0, 0, -208, 0, 396, 0, 0, -232, -280, 0, 0, 0, 0, -114, -92, 0, 0, 88, 0, -276, 0, 0, -28, -96, 0, 0, 0, 0, -346, -244, 0, 0, -252, 0, 24, 0, 0, 24, -46, 0, 0, 0, 0, -184, 448, 0, 0, -104, 0, 48, 0, 0, 112, -28, 0, 0, 0, 0, -212, 76, 0, 0, 180, 0, 26, 0, 0, -8, 280, 0, 0, 0, 0, 28, -400, 0, 0, -40, 0, 148, 0, 0, 92, -88, 0, 0, 0, 0, 344, 140, 0, 0, -40, 0, 324, 0, 0, -180, 0, 0, 0, 0, 0, -32, -176, 0, 0, 120, 0, -52, 0, 0, -76, 164, 0, 0, 0, 0, -148, -72, 0, 0, -172, 0, 200, 0, 0, 260, 44, 0, 0, 0, 0, 8, -516, 0, 0, -92, 0, 144, 0, 0, -24, -24, 0, 0, 0, 0, 68, 28, 0, 0, 264, 0, 24, 0, 0, 188, 168, 0, 0, 0, 0, -4, 396, 0, 0, 0, 0, 32, 0, 0, -18, 284, 0, 0, 0, 0, -64, 288, 0, 0, -76, 0, -424, 0, 0, 304, -120, 0, 0, 0, 0, 232, 68, 0, 0, 132, 0, 348, 0, 0, 300, -136, 0, 0, 0, 0, -56, 240, 0, 0, 312, 0, -572, 0, 0, -108, -276, 0, 0, 0, 0, -32, -528, 0, 0, -100, 0, -302, 0, 0, -8, -4, 0, 0, 0, 0, -148, 332, 0, 0, -88, 0, -60, 0, 0, -208, -40, 0, 0, 0, 0, 40, 144, 0, 0, -200, 0, -68, 0, 0, 200, 176, 0, 0, 0, 0, -72, -212, 0, 0, -12, 0, 52, 0, 0, 60, -236, 0, 0, 0, 0, -64, 80, 0, 0, -68, 0, 200, 0, 0, 68, 28, 0, 0, 0, 0, 52, -64, 0, 0, 100, 0, -436, 0, 0, -112, 304, 0, 0, 0, 0, 312, 16, 0, 0, -96, 0, -352, 0, 0, 76, 0, 0, 0, 0, 0, -264, -364, 0, 0, 56, 0, 512, 0, 0, 32, 192, 0, 0, 0, 0, 224, 496, 0, 0, -112, 0, -42, 0, 0, 408, -156, 0, 0, 0, 0, 8, 272, 0, 0, -176, 0, 76, 0, 0, -96, 360, 0, 0, 0, 0, -116, 264, 0, 0, 16, 0, -128, 0, 0, -28, -312, 0, 0, 0, 0, 74], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 400002
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.b.a', 'target_level': 65, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 400003
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.b.a', 'target_level': 65, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 400004
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '325.2.a.j', 'target_level': 325, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 400005
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '325.2.a.k', 'target_level': 325, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 400006
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '585.2.c.b', 'target_level': 585, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 400007
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '585.2.c.b', 'target_level': 585, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 400008
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.b.c', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 400009
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.b.c', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 400010
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.d.a', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 400011
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.d.a', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 400012
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.d.b', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 400013
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '845.2.d.b', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 400014
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.l.d', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 400015
{'conductor': 195, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.l.d', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.bh', 'twisting_char_orbit': 34, 'weight': 2}
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id: 400016
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '845.2.l.e', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 400017
{'conductor': 195, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 12, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '845.2.l.e', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.bh', 'twisting_char_orbit': 34, 'weight': 2}
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id: 400018
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 14, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.n.f', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 400019
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 14, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.n.f', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 400020
{'conductor': 39, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 14, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '845.2.n.g', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 400021
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 14, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '845.2.n.g', 'target_level': 845, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 400022
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1040.2.d.c', 'target_level': 1040, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 400023
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1040.2.d.c', 'target_level': 1040, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 400024
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '2925.2.a.bf', 'target_level': 2925, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 400025
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '2925.2.a.bj', 'target_level': 2925, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 400026
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4225.2.a.ba', 'target_level': 4225, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 400027
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '4225.2.a.bh', 'target_level': 4225, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 400028
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '5200.2.a.cb', 'target_level': 5200, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 400029
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 6, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '585.2.c.b', 'source_level': 585, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 62, 'target_is_minimal': False, 'target_label': '5200.2.a.cj', 'target_level': 5200, 'twist_class_label': '65.2.b.a', 'twist_class_level': 65, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1084050
{'charpoly_factorization': [[[25, 0, 31, 0, 11, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 2}
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id: 1084051
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503737099878985, 'p': 3}
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id: 1084052
{'charpoly_factorization': [[[125, 0, -5, -16, -1, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 5}
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id: 1084053
{'charpoly_factorization': [[[16, 0, 32, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 7}
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id: 1084054
{'charpoly_factorization': [[[2, 8, -6, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 11}
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id: 1084055
{'charpoly_factorization': [[[1, 0, 1], 3]], 'hecke_orbit_code': 4503737099878985, 'p': 13}
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id: 1084056
{'charpoly_factorization': [[[64, 0, 112, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 17}
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id: 1084057
{'charpoly_factorization': [[[2, -4, 0, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 19}
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id: 1084058
{'charpoly_factorization': [[[7396, 0, 1436, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 23}
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id: 1084059
{'charpoly_factorization': [[[108, -36, -6, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 29}
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id: 1084060
{'charpoly_factorization': [[[-26, 20, 10, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 31}
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id: 1084061
{'charpoly_factorization': [[[2704, 0, 784, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 37}
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id: 1084062
{'charpoly_factorization': [[[-32, -32, -4, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 41}
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id: 1084063
{'charpoly_factorization': [[[77284, 0, 5452, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 43}
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id: 1084064
{'charpoly_factorization': [[[400, 0, 384, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 47}
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id: 1084065
{'charpoly_factorization': [[[92416, 0, 6464, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 53}
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id: 1084066
{'charpoly_factorization': [[[-262, -40, 8, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 59}
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id: 1084067
{'charpoly_factorization': [[[-4, -16, -6, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 61}
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id: 1084068
{'charpoly_factorization': [[[364816, 0, 15680, 0, 220, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 67}
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id: 1084069
{'charpoly_factorization': [[[754, -88, -12, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 71}
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id: 1084070
{'charpoly_factorization': [[[55696, 0, 15568, 0, 248, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 73}
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id: 1084071
{'charpoly_factorization': [[[16, 24, -16, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 79}
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id: 1084072
{'charpoly_factorization': [[[99856, 0, 9200, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 83}
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id: 1084073
{'charpoly_factorization': [[[200, -52, -10, 1], 2]], 'hecke_orbit_code': 4503737099878985, 'p': 89}
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id: 1084074
{'charpoly_factorization': [[[40000, 0, 12656, 0, 364, 0, 1], 1]], 'hecke_orbit_code': 4503737099878985, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '585.2.c.b', 'level': 585, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 81258000
{'hecke_orbit_code': 4503737099878985, 'n': 1, 'trace_an': 6}
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id: 81258001
{'hecke_orbit_code': 4503737099878985, 'n': 2, 'trace_an': 0}
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id: 81258002
{'hecke_orbit_code': 4503737099878985, 'n': 3, 'trace_an': 0}
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id: 81258003
{'hecke_orbit_code': 4503737099878985, 'n': 4, 'trace_an': -10}
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id: 81258004
{'hecke_orbit_code': 4503737099878985, 'n': 5, 'trace_an': 0}
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id: 81258005
{'hecke_orbit_code': 4503737099878985, 'n': 6, 'trace_an': 0}
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id: 81258006
{'hecke_orbit_code': 4503737099878985, 'n': 7, 'trace_an': 0}
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id: 81258007
{'hecke_orbit_code': 4503737099878985, 'n': 8, 'trace_an': 0}
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id: 81258008
{'hecke_orbit_code': 4503737099878985, 'n': 9, 'trace_an': 0}
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id: 81258009
{'hecke_orbit_code': 4503737099878985, 'n': 10, 'trace_an': 2}
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id: 81258010
{'hecke_orbit_code': 4503737099878985, 'n': 11, 'trace_an': 12}
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id: 81258011
{'hecke_orbit_code': 4503737099878985, 'n': 12, 'trace_an': 0}
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{'hecke_orbit_code': 4503737099878985, 'n': 995, 'trace_an': -160}
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id: 81258995
{'hecke_orbit_code': 4503737099878985, 'n': 996, 'trace_an': 0}
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id: 81258996
{'hecke_orbit_code': 4503737099878985, 'n': 997, 'trace_an': 0}
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id: 81258997
{'hecke_orbit_code': 4503737099878985, 'n': 998, 'trace_an': 0}
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id: 81258998
{'hecke_orbit_code': 4503737099878985, 'n': 999, 'trace_an': 0}
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id: 81258999
{'hecke_orbit_code': 4503737099878985, 'n': 1000, 'trace_an': -86}