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mf_newforms • Show schema
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{'Nk2': 1440, 'analytic_conductor': 2.8746144727660936, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 40, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [360, 2, [271, 181, 281, 217], [2, 1, 2, 1]], 'cm_discs': [], 'conrey_index': 109, 'conrey_indexes': [109], 'dim': 6, 'field_disc': -839056, 'field_disc_factorization': [[-1, 1], [2, 4], [229, 2]], 'field_poly': [1, 0, 8, 0, 6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [64, 0, 128, 0, 24, 0, 1]], [11, [64, 0, 96, 0, 32, 0, 1]], [13, [-56, -16, 4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518204328837480, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 40, 6, 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': '360.2.d.f', 'level': 360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '120.2.d.a', 'nf_label': '6.0.839056.1', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta _{2}q^{2}+(\\beta _{1}-\\beta _{3})q^{4}+(\\beta _{2}-\\beta _{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '360.2.d', 'trace_display': [1, 0, 0, 0], 'trace_hash': 2276218098432744629, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.533', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.975', 'prec': 17}, {'__RealLiteral__': 0, 'data': '158.516', 'prec': 24}, {'__RealLiteral__': 0, 'data': '54.510', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6856.744', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.516', 'prec': 17}, 'traces': [6, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, -8, 10, 0, 1, 0, 0, 0, 13, 0, 10, 0, 0, 2, 14, 0, -2, 0, 0, -16, 21, 0, 12, 4, 0, -16, 2, 0, 25, 4, 0, 0, -22, 0, -2, 0, 0, -6, -15, 0, 26, -24, 0, -8, -26, 0, 12, 0, 0, 0, -28, 0, -23, 12, 0, 0, 24, 0, -6, -16, 0, 0, -18, 0, 6, -24, 0, 16, -15, 0, -50, 16, 0, -16, -20, 0, 18, 20, 0, 0, -46, 0, -2, -32, 0, 0, -21, 0, -47, 0, 0, 0, 26, 0, 6, 24, 0, 0, 34, 0, -50, 0, 0, 8, 44, 0, -30, -16, 0, 2, 44, 0, -8, -24, 0, 0, -27, 0, 14, 0, 0, 56, 20, 0, -16, 0, 0, 0, 6, 0, 48, 0, 0, -4, 48, 0, -30, 0, 0, 32, 54, 0, -4, 20, 0, 32, 28, 0, 29, -8, 0, 8, -10, 0, -28, 0, 0, 18, -60, 0, 44, 80, 0, 24, -46, 0, 14, 0, 0, 0, -68, 0, 34, -12, 0, 24, -6, 0, -14, 48, 0, 0, -24, 0, 43, 40, 0, -48, 17, 0, -36, -40, 0, 40, -54, 0, 2, 8, 0, 0, -26, 0, 4, 64, 0, 0, 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'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, -1, 0, 0], [0, 0, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0], [0, 1, 0, -1, 1, 1], [0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 1, 0], [0, 1, 1, 0, 0, -1], [0, 0, 0, 0, 0, 0], [-2, 1, -1, -2, 1, 0], [2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, -1], [0, -1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, -2, 0, 0, -1, -1], [2, -1, 0, 1, 0, -2], [0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2], [0, 2, 0, 0, -1, -1], [0, 0, 0, 0, 0, 0], [1, -1, 1, 2, -2, -1], [2, 2, 2, -2, 2, 0], [0, 0, 0, 0, 0, 0], [0, 0, -2, 2, -2, 0], [0, -1, 1, 0, 2, 1], [0, 0, 0, 0, 0, 0], [-2, 0, 2, 0, -1, 1], [4, 1, 0, 1, -1, 1], [0, 0, 0, 0, 0, 0], [2, -2, 0, 2, 0, -2], [0, 1, -3, -2, -1, 0], [0, 0, 0, 0, 0, 0], [-2, -1, 1, 2, -1, 0], [0, -2, 0, -2, 0, 0], [0, 0, 0, 0, 0, 0], [4, -1, -2, -1, -1, 1], [2, 0, 4, 0, -2, 2], [0, 0, 0, 0, 0, 0], [0, 2, 2, -4, 0, 2], [-4, 0, -2, 2, 0, -2], [0, 0, 0, 0, 0, 0], [0, 2, 0, -2, 0, 4], [0, 2, 0, 0, 1, 1], [0, 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[20, 0, -4, 0, 2, -2], [0, -1, -5, 0, 1, 6], [-22, -1, -3, 2, 1, -2], [0, -2, 0, 0, -5, -5], [0, -4, -2, 0, -13, -11], [-2, -8, -6, 16, -1, -7], [-22, -5, -7, 10, 1, -6], [-2, -4, -4, 8, 0, -4], [6, -6, -6, 12, 0, -6], [-32, -5, -1, 10, -2, -3], [-4, -12, 4, 24, -8, -4], [-12, -9, -9, 18, 0, -9], [-10, -12, -4, 24, -4, -8], [0, 12, -6, 0, -11, -5], [0, -13, -11, 0, -6, 5], [0, -7, 9, 0, 5, -4], [-20, 0, -8, 0, 4, -4], [0, -6, 18, 0, 6, -12], [-36, -4, 0, 8, -2, -2], [26, -7, 3, 14, -5, -2], [0, -7, -1, 0, -1, 0], [0, 4, 2, 0, 1, -1], [0, 4, 6, 0, 9, 3], [14, 7, 1, -14, 3, 4], [18, 8, 4, -16, 2, 6], [12, 0, -8, 0, 4, -4], [0, 4, -18, 0, -3, 15], [-32, 2, 2, -4, 0, 2], [-16, 0, 0, 0, 0, 0], [-26, 8, -6, -16, 7, 1], [6, -4, 12, 8, -8, 4], [0, 4, 4, 0, 12, 8], [0, 3, -11, 0, 0, 11], [12, -8, -8, 16, 0, -8], [0, -7, -1, 0, 7, 8], [0, 5, -3, 0, -3, 0], [0, -9, 11, 0, 2, -9], [0, 11, 5, 0, 1, -4], [0, 8, 18, 0, 11, -7], [10, -8, 14, 16, -11, 3], [-6, 1, 11, -2, -5, 6]], 'char_orbit_index': 4, 'field_poly': [1, 0, 8, 0, 6, 0, 1], 'hecke_orbit_code': 22518204328837480, 'hecke_ring_character_values': [[271, [1, 0, 0, 0, 0, 0]], [181, [-1, 0, 0, 0, 0, 0]], [281, [1, 0, 0, 0, 0, 0]], [217, [-1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2, 2, 2], 'hecke_ring_inverse_denominators': [1, 2, 2, 1, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0], [-4, 1, 1, -2, 0, 1], [0, -1, -2, 0, -2, 0], [14, -5, -3, 10, -1, -4], [0, 5, 17, 0, 16, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 4, 0, 1, 0, 0], [3, 5, 5, 5, 1, 1], [-1, -3, 3, -5, 1, -1], [-3, -9, -5, -7, -1, -1], [3, -19, 5, -17, 1, -3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '360.2.d.f', 'level': 360, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1440, 'analytic_conductor': 2.8746144727660936, 'char_conductor': 40, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [360, 2, [271, 181, 281, 217], [2, 1, 2, 1]], 'conrey_index': 109, 'cusp_dim': 64, 'dim': 28, 'eis_dim': 16, 'eis_new_dim': 4, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 206191985000, 'hecke_orbit_dims': [4, 4, 4, 4, 6, 6], 'label': '360.2.d', 'level': 360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 80, 'mf_new_dim': 32, 'num_forms': 6, 'prim_orbit_index': 6, 'relative_dim': 28, 'sturm_bound': 144, 'trace_bound': 4, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, 0, 12, 0, 0, 0, -8, 0, 0, 0, 0, -4, 28, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -20, 8, 0, 0, -20, 0, 28, 0, 0, -20, -24, 0, 0, 0, 0, -8, -52, 0, 0, 0, 0, 0, 0, 0, -36, 24, 0, 0, 0, 0, -28, 16, 0, 0, -12, 0, -24, 0, 0, -32, 36, 0, 0, 0, 0, 0, -52, 0, 0, 16, 0, 0, 0, 0, 4, -40, 0, 0, 0, 0, -8, 0, 0, 0, 52, 0, -72, 0, 0, 0, 44, 0, 0, 0, 0, 0, 88, 0, 0, -80, 0, 4, 0, 0, 16, 0, 0, 0, 0, 0, 64, 0, 0, 0, 52, 0, 72, 0, 0, 0, -68, 0, 0, 0, 0, 24, 120, 0, 0, 0, 0, -48, 0, 0, 112, 0, 0, 0, 0, 0, -68, -40, 0, 0, -20, 0, 28, 0, 0, -12, -80, 0, 0, 0, 0, 96, -140, 0, 0, 0, 0, 0, 0, 0, 40, 24, 0, 0, 0, 0, 8, 0, 0, 0, -72, 0, -96, 0, 0, 32, 88, 0, 0, 0, 0, 0, -144, 0, 0, -32, 0, 0, 0, 0, -4, 104, 0, 0, 0, 0, 112, 0, 0, 0, 28, 0, -112, 0, 0, 0, 92, 0, 0, 0, 0, 0, 124, 0, 0, 144, 0, -48, 0, 0, 152, 0, 0, 0, 0, 0, 60, 0, 0, 0, 56, 0, 68, 0, 0, 0, -84, 0, 0, 0, 0, 8, 144, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 8, -40, 0, 0, -32, 0, 72, 0, 0, 12, -128, 0, 0, 0, 0, -40, -156, 0, 0, 0, 0, 0, 0, 0, 16, -72, 0, 0, 0, 0, -168, 64, 0, 0, -44, 0, -192, 0, 0, -96, 108, 0, 0, 0, 0, 0, -180, 0, 0, -40, 0, 0, 0, 0, -164, -104, 0, 0, 0, 0, 72, 0, 0, 0, 136, 0, -96, 0, 0, 0, 128, 0, 0, 0, 0, 0, 228, 0, 0, -160, 0, 4, 0, 0, -104, 0, 0, 0, 0, 0, -24, 0, 0, 0, 16, 0, 128, 0, 0, 0, -144, 0, 0, 0, 0, -48, 152, 0, 0, 0, 0, 112, 0, 0, 16, 0, 0, 0, 0, 0, -164, 112, 0, 0, -120, 0, 256, 0, 0, -96, -108, 0, 0, 0, 0, 24, -172, 0, 0, 0, 0, 0, 0, 0, -256, -16, 0, 0, 0, 0, -124, -112, 0, 0, -80, 0, 24, 0, 0, 208, 124, 0, 0, 0, 0, 0, -264, 0, 0, 24, 0, 0, 0, 0, 52, 160, 0, 0, 0, 0, -48, 0, 0, 0, 8, 0, -56, 0, 0, 0, 108, 0, 0, 0, 0, 0, 240, 0, 0, 256, 0, 32, 0, 0, 24, 0, 0, 0, 0, 0, 180, 0, 0, 0, 104, 0, 176, 0, 0, 0, -136, 0, 0, 0, 0, 8, 176, 0, 0, 0, 0, 208, 0, 0, 288, 0, 0, 0, 0, 0, -88, 96, 0, 0, -52, 0, 84, 0, 0, 76, -96, 0, 0, 0, 0, -216, -136, 0, 0, 0, 0, 0, 0, 0, 120, 56, 0, 0, 0, 0, 80, 64, 0, 0, -92, 0, -48, 0, 0, -224, 132, 0, 0, 0, 0, 0, -204, 0, 0, 8, 0, 0, 0, 0, 56, -208, 0, 0, 0, 0, 256, 0, 0, 0, 48, 0, -200, 0, 0, 0, 140, 0, 0, 0, 0, 0, 224, 0, 0, -304, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 56, 0, 0, 0, 116, 0, 88, 0, 0, 0, -160, 0, 0, 0, 0, 60, 256, 0, 0, 0, 0, -144, 0, 0, -240, 0, 0, 0, 0, 0, 84, -136, 0, 0, -176, 0, 160, 0, 0, 144, -100, 0, 0, 0, 0, 24, -180, 0, 0, 0, 0, 0, 0, 0, -8, -32, 0, 0, 0, 0, -196, -208, 0, 0, -16, 0, -376, 0, 0, 208, 80, 0, 0, 0, 0, 0, -152, 0, 0, 16, 0, 0, 0, 0, -444, 200, 0, 0, 0, 0, 160, 0, 0, 0, 68, 0, 32, 0, 0, 0, 176, 0, 0, 0, 0, 0, 156, 0, 0, 400, 0, -104, 0, 0, -224, 0, 0, 0, 0, 0, -72, 0, 0, 0, 104, 0, 40, 0, 0, 0, -52, 0, 0, 0, 0, 32, 244, 0, 0, 0, 0, -144, 0, 0, 32, 0, 0, 0, 0, 0, -176, -48, 0, 0, -64, 0, 172, 0, 0, -40, -120, 0, 0, 0, 0, -144, -288, 0, 0, 0, 0, 0, 0, 0, -436, -72, 0, 0, 0, 0, -72, 96, 0, 0, -100, 0, -112, 0, 0, -240, 104, 0, 0, 0, 0, 0, -96, 0, 0, -32, 0, 0, 0, 0, 312, -216, 0, 0, 0, 0, -200, 0, 0, 0, 44, 0, -96, 0, 0, 0, 116, 0, 0, 0, 0, 0, 72, 0, 0, -448, 0, -132, 0, 0, 0, 0, 0, 0, 0, 0, 280, 0, 0, 0, 40, 0, 200, 0, 0, 0, -64, 0, 0, 0, 0, -88, 168, 0, 0, 0, 0, -416, 0, 0, 376, 0, 0, 0, 0, 0, -24, 232, 0, 0, -64, 0, -52, 0, 0, 136, -36, 0, 0, 0, 0, 360, -212, 0, 0, 0, 0, 0, 0, 0, 264, -80, 0, 0, 0, 0, 216, -144, 0, 0, -32, 0, -96, 0, 0, 256, 72, 0, 0, 0, 0, 0, -176, 0, 0, 152, 0, 0, 0, 0, -12, 224, 0, 0, 0, 0, 248, 0, 0, 0, 148, 0, -312, 0, 0, 0, 32, 0, 0, 0, 0, 0, 144, 0, 0, 384, 0, 156, 0, 0, 432, 0, 0, 0, 0, 0, 216, 0, 0, 0, -8, 0, -80, 0, 0, 0, -96, 0, 0, 0, 0, -56, -16, 0, 0, 0, 0, 112, 0, 0, -240, 0, 0, 0, 0, 0, 188], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 271324
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.d.a', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 271325
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '120.2.d.a', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 271326
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '120.2.d.b', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 271327
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '120.2.d.b', 'target_level': 120, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 271328
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '360.2.d.e', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 271329
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '360.2.d.e', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 271330
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '360.2.d.f', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 271331
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '360.2.d.f', 'target_level': 360, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 271332
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '480.2.d.a', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 271333
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '480.2.d.a', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 271334
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '480.2.d.b', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 271335
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '480.2.d.b', 'target_level': 480, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 271336
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.2.k.f', 'target_level': 600, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 271337
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '600.2.k.f', 'target_level': 600, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 271338
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1440.2.d.e', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 271339
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1440.2.d.e', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 271340
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1440.2.d.f', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 271341
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 4, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1440.2.d.f', 'target_level': 1440, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 271342
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1800.2.k.u', 'target_level': 1800, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 271343
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1800.2.k.u', 'target_level': 1800, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 271344
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2400.2.k.f', 'target_level': 2400, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 271345
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2400.2.k.f', 'target_level': 2400, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 271346
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3840.2.f.l', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 271347
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3840.2.f.l', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '240.bm', 'twisting_char_orbit': 39, 'weight': 2}
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id: 271348
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.f.m', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 271349
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3840.2.f.m', 'target_level': 3840, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '240.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 271350
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7200.2.k.u', 'target_level': 7200, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 271351
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 6, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '360.2.d.f', 'source_level': 360, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '7200.2.k.u', 'target_level': 7200, 'twist_class_label': '120.2.d.a', 'twist_class_level': 120, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 768325
{'charpoly_factorization': [[[8, -4, 0, 0, 0, -1, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 2}
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id: 768326
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 22518204328837480, 'p': 3}
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id: 768327
{'charpoly_factorization': [[[125, 0, -5, 8, -1, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 5}
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id: 768328
{'charpoly_factorization': [[[64, 0, 128, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 7}
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id: 768329
{'charpoly_factorization': [[[64, 0, 96, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 11}
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id: 768330
{'charpoly_factorization': [[[-56, -16, 4, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 13}
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id: 768331
{'charpoly_factorization': [[[1024, 0, 368, 0, 36, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 17}
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id: 768332
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 19}
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id: 768333
{'charpoly_factorization': [[[16384, 0, 2304, 0, 92, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 23}
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id: 768334
{'charpoly_factorization': [[[12544, 0, 3120, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 29}
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id: 768335
{'charpoly_factorization': [[[-64, -4, 8, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 31}
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id: 768336
{'charpoly_factorization': [[[-8, 0, 8, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 37}
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id: 768337
{'charpoly_factorization': [[[-56, -100, -2, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 41}
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id: 768338
{'charpoly_factorization': [[[64, -64, 0, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 43}
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id: 768339
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 47}
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id: 768340
{'charpoly_factorization': [[[-8, 32, 12, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 53}
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id: 768341
{'charpoly_factorization': [[[179776, 0, 9888, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 59}
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id: 768342
{'charpoly_factorization': [[[65536, 0, 7168, 0, 176, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 61}
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id: 768343
{'charpoly_factorization': [[[-64, -64, 0, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 67}
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id: 768344
{'charpoly_factorization': [[[-128, -80, 8, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 71}
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id: 768345
{'charpoly_factorization': [[[16384, 0, 34560, 0, 384, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 73}
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id: 768346
{'charpoly_factorization': [[[64, -4, -8, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 79}
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id: 768347
{'charpoly_factorization': [[[448, -64, -8, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 83}
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id: 768348
{'charpoly_factorization': [[[1384, -164, -10, 1], 2]], 'hecke_orbit_code': 22518204328837480, 'p': 89}
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id: 768349
{'charpoly_factorization': [[[262144, 0, 28416, 0, 336, 0, 1], 1]], 'hecke_orbit_code': 22518204328837480, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 6, 'label': '360.2.d.f', 'level': 360, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 171428000
{'hecke_orbit_code': 22518204328837480, 'n': 1, 'trace_an': 6}
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id: 171428001
{'hecke_orbit_code': 22518204328837480, 'n': 2, 'trace_an': 1}
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id: 171428002
{'hecke_orbit_code': 22518204328837480, 'n': 3, 'trace_an': 0}
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id: 171428003
{'hecke_orbit_code': 22518204328837480, 'n': 4, 'trace_an': 1}
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id: 171428004
{'hecke_orbit_code': 22518204328837480, 'n': 5, 'trace_an': 0}
-
id: 171428005
{'hecke_orbit_code': 22518204328837480, 'n': 6, 'trace_an': 0}
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id: 171428006
{'hecke_orbit_code': 22518204328837480, 'n': 7, 'trace_an': 0}
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id: 171428007
{'hecke_orbit_code': 22518204328837480, 'n': 8, 'trace_an': 1}
-
id: 171428008
{'hecke_orbit_code': 22518204328837480, 'n': 9, 'trace_an': 0}
-
id: 171428009
{'hecke_orbit_code': 22518204328837480, 'n': 10, 'trace_an': 1}
-
id: 171428010
{'hecke_orbit_code': 22518204328837480, 'n': 11, 'trace_an': 0}
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id: 171428011
{'hecke_orbit_code': 22518204328837480, 'n': 12, 'trace_an': 0}
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id: 171428012
{'hecke_orbit_code': 22518204328837480, 'n': 13, 'trace_an': -8}
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id: 171428013
{'hecke_orbit_code': 22518204328837480, 'n': 14, 'trace_an': 10}
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id: 171428014
{'hecke_orbit_code': 22518204328837480, 'n': 15, 'trace_an': 0}
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id: 171428015
{'hecke_orbit_code': 22518204328837480, 'n': 16, 'trace_an': 1}
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id: 171428016
{'hecke_orbit_code': 22518204328837480, 'n': 17, 'trace_an': 0}
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id: 171428017
{'hecke_orbit_code': 22518204328837480, 'n': 18, 'trace_an': 0}
-
id: 171428018
{'hecke_orbit_code': 22518204328837480, 'n': 19, 'trace_an': 0}
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id: 171428019
{'hecke_orbit_code': 22518204328837480, 'n': 20, 'trace_an': 13}
-
id: 171428020
{'hecke_orbit_code': 22518204328837480, 'n': 21, 'trace_an': 0}
-
id: 171428021
{'hecke_orbit_code': 22518204328837480, 'n': 22, 'trace_an': 10}
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id: 171428022
{'hecke_orbit_code': 22518204328837480, 'n': 23, 'trace_an': 0}
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id: 171428023
{'hecke_orbit_code': 22518204328837480, 'n': 24, 'trace_an': 0}
-
id: 171428024
{'hecke_orbit_code': 22518204328837480, 'n': 25, 'trace_an': 2}
-
id: 171428025
{'hecke_orbit_code': 22518204328837480, 'n': 26, 'trace_an': 14}
-
id: 171428026
{'hecke_orbit_code': 22518204328837480, 'n': 27, 'trace_an': 0}
-
id: 171428027
{'hecke_orbit_code': 22518204328837480, 'n': 28, 'trace_an': -2}
-
id: 171428028
{'hecke_orbit_code': 22518204328837480, 'n': 29, 'trace_an': 0}
-
id: 171428029
{'hecke_orbit_code': 22518204328837480, 'n': 30, 'trace_an': 0}
-
id: 171428030
{'hecke_orbit_code': 22518204328837480, 'n': 31, 'trace_an': -16}
-
id: 171428031
{'hecke_orbit_code': 22518204328837480, 'n': 32, 'trace_an': 21}
-
id: 171428032
{'hecke_orbit_code': 22518204328837480, 'n': 33, 'trace_an': 0}
-
id: 171428033
{'hecke_orbit_code': 22518204328837480, 'n': 34, 'trace_an': 12}
-
id: 171428034
{'hecke_orbit_code': 22518204328837480, 'n': 35, 'trace_an': 4}
-
id: 171428035
{'hecke_orbit_code': 22518204328837480, 'n': 36, 'trace_an': 0}
-
id: 171428036
{'hecke_orbit_code': 22518204328837480, 'n': 37, 'trace_an': -16}
-
id: 171428037
{'hecke_orbit_code': 22518204328837480, 'n': 38, 'trace_an': 2}
-
id: 171428038
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