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mf_newforms • Show schema
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{'Nk2': 15360, 'analytic_conductor': 30.662554376171666, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [3840, 2, [511, 2821, 2561, 1537], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 769, 'conrey_indexes': [769], 'dim': 12, 'field_disc': 180227832610816, 'field_disc_factorization': [[2, 16], [229, 4]], 'field_poly': [64, 0, 16, 0, 0, 0, -8, 0, 0, 0, 1, 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]], [29, [-12544, 0, 3120, 0, -108, 0, 1]], [31, [64, -4, -8, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043539159387904, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 40, 6, 1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [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': '3840.2.f.m', 'level': 3840, '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': '12.0.180227832610816.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{3}q^{3}-\\beta _{2}q^{5}-\\beta _{1}q^{7}-q^{9}+(-\\beta _{8}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3840.2.f', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1801392226566156447, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.078', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.467', 'prec': 20}, {'__RealLiteral__': 0, 'data': '11.070', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1258.767', 'prec': 27}, {'__RealLiteral__': 0, 'data': '1843.472', 'prec': 27}, {'__RealLiteral__': 0, 'data': '245030.606', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.763', 'prec': 17}, 'traces': [12, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 8, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 12, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -48, 0, 16, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 14, 0, 0, 14, 0, 0, 8, 0], [0, 0, 16, 30, 0, 0, -16, 0, 0, 0, 0, 10], [0, 0, -14, 0, 0, 0, -14, 0, 10, -4, 0, 0], [20, 0, 0, 0, -10, -2, 0, 10, 0, 0, 0, 0], [0, 0, 14, 0, 0, 0, 14, 0, -7, -9, 0, 0], [0, -21, 0, 0, -1, 0, 0, -1, 0, 0, -10, 0], [19, 0, 0, 0, 9, -9, 0, -9, 0, 0, 0, 0], [0, 21, 0, 0, 1, 0, 0, 1, 0, 0, 8, 0], [0, 0, 2, 0, 0, 0, 2, 0, 10, -12, 0, 0], [0, 0, 2, -52, 0, 0, -2, 0, 0, 0, 0, 4], [-12, 0, 0, 0, 16, -4, 0, -16, 0, 0, 0, 0], [0, -12, 0, 0, -4, 0, 0, -4, 0, 0, 10, 0], [0, 0, 7, 2, 0, 0, -7, 0, 0, 0, 0, 10], [-25, 0, 0, 0, -19, 11, 0, 19, 0, 0, 0, 0], [-32, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0, 12, 0, 0], [0, 0, -16, 32, 0, 0, 16, 0, 0, 0, 0, 4], [0, 12, 0, 0, -9, 0, 0, -9, 0, 0, 7, 0], [0, 0, -10, 0, 0, 0, -10, 0, 19, -3, 0, 0], [0, 0, -20, -3, 0, 0, 20, 0, 0, 0, 0, -1], [0, 0, 13, 0, 0, 0, 13, 0, 0, -18, 0, 0], [-27, 0, 0, 0, -9, 9, 0, 9, 0, 0, 0, 0], [0, 0, 13, -14, 0, 0, -13, 0, 0, 0, 0, 6], [0, 0, 18, 0, 0, 0, 18, 0, -17, 3, 0, 0], [0, 0, 6, -12, 0, 0, -6, 0, 0, 0, 0, 4], [0, -16, 0, 0, -6, 0, 0, -6, 0, 0, 8, 0], [0, 0, 5, 4, 0, 0, -5, 0, 0, 0, 0, 4], [-13, 0, 0, 0, 13, 7, 0, -13, 0, 0, 0, 0]], 'char_orbit_index': 6, 'field_poly': [64, 0, 16, 0, 0, 0, -8, 0, 0, 0, 1, 0, 1], 'hecke_orbit_code': 54043539159387904, 'hecke_ring_character_values': [[511, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [2821, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [2561, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1537, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 8, 64, 64, 4, 8, 64, 8, 32, 32, 16, 64], 'hecke_ring_inverse_denominators': [1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, -2, 0, 1, 0, 0, 1], [-1, -1, 0, 0, 0, 1, 0, -2, 0, 0, -2, 0], [0, 0, 2, -1, 0, 0, 0, 0, 1, 2, 0, -1], [1, 5, 0, 0, 4, -1, 0, -2, 0, 0, 2, 0], [0, 0, -6, 13, 0, 0, -4, 0, -1, 2, 0, -3], [15, 3, 0, 0, -12, 1, 0, -6, 0, 0, -2, 0], [0, 0, 14, 19, 0, 0, -4, 0, 9, -10, 0, 3], [-23, 5, 0, 0, -4, 7, 0, 6, 0, 0, -14, 0], [0, 0, 18, -27, 0, 0, -12, 0, -17, 10, 0, -11], [-17, 19, 0, 0, 4, -31, 0, -22, 0, 0, -2, 0], [0, 0, -2, 147, 0, 0, 12, 0, -39, 6, 0, 3]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -4, 0, 4, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 24, 0, -12, 0, 6, 0, 3, 0, 1], [0, 0, 0, 8, 0, 4, 0, 2, 0, -1, 0, 1], [4, 0, 2, 0, 1, 0, -1, 0, 0, 0, 0, 0], [-8, 0, 4, 0, 4, 0, 1, 0, 0, 0, -1, 0], [0, -64, 0, 24, 0, -12, 0, -2, 0, -5, 0, 1], [8, 0, -8, 0, -2, 0, -1, 0, 1, 0, 0, 0], [0, 0, 0, 24, 0, 4, 0, 2, 0, -3, 0, -1], [0, 32, 0, 40, 0, -4, 0, -6, 0, -1, 0, 1], [-32, 0, -8, 0, 4, 0, 2, 0, -3, 0, -1, 0], [0, 128, 0, -8, 0, -36, 0, -10, 0, -3, 0, 3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '3840.2.f.m', 'level': 3840, 'maxp': 1999, 'weight': 2}
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{'Nk2': 15360, 'analytic_conductor': 30.662554376171666, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': 1, 'char_values': [3840, 2, [511, 2821, 2561, 1537], [2, 2, 2, 1]], 'conrey_index': 769, 'cusp_dim': 720, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 29, 31], 'hecke_orbit_code': 343630941952, 'hecke_orbit_dims': [2, 2, 2, 2, 6, 6, 6, 6, 8, 8, 8, 12, 12, 16], 'label': '3840.2.f', 'level': 3840, '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': 816, 'mf_new_dim': 96, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 1536, 'trace_bound': 31, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1159682
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1159683
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1159684
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1159685
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1159686
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1159687
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '240.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1159688
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1159689
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '240.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1159690
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1159691
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1159692
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1159693
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1159694
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1159695
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1159696
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1159697
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '240.bm', 'twisting_char_orbit': 39, 'weight': 2}
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id: 1159698
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1159699
{'conductor': 240, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '240.bm', 'twisting_char_orbit': 39, 'weight': 2}
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id: 1159700
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '240.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 1159701
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '240.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 1159702
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1159703
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1159704
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1159705
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1159706
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1159707
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1159708
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1159709
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1159710
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1159711
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1159712
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '240.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 1159713
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 12, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '3840.2.f.m', 'source_level': 3840, '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': '240.bf', 'twisting_char_orbit': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3388775
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 54043539159387904, 'p': 2}
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id: 3388776
{'charpoly_factorization': [[[1, 0, 1], 6]], 'hecke_orbit_code': 54043539159387904, 'p': 3}
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id: 3388777
{'charpoly_factorization': [[[15625, 0, 1250, 0, -225, 0, -196, 0, -9, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 54043539159387904, 'p': 5}
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id: 3388778
{'charpoly_factorization': [[[64, 0, 128, 0, 24, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 7}
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id: 3388779
{'charpoly_factorization': [[[-64, 0, 96, 0, -32, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 11}
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id: 3388780
{'charpoly_factorization': [[[3136, 0, 704, 0, 48, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 13}
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id: 3388781
{'charpoly_factorization': [[[1024, 0, 368, 0, 36, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 17}
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id: 3388782
{'charpoly_factorization': [[[-1024, 0, 512, 0, -60, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 19}
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id: 3388783
{'charpoly_factorization': [[[16384, 0, 2304, 0, 92, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 23}
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id: 3388784
{'charpoly_factorization': [[[-12544, 0, 3120, 0, -108, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 29}
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id: 3388785
{'charpoly_factorization': [[[64, -4, -8, 1], 4]], 'hecke_orbit_code': 54043539159387904, 'p': 31}
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id: 3388786
{'charpoly_factorization': [[[64, 0, 128, 0, 64, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 37}
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id: 3388787
{'charpoly_factorization': [[[-56, -100, -2, 1], 4]], 'hecke_orbit_code': 54043539159387904, 'p': 41}
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id: 3388788
{'charpoly_factorization': [[[4096, 0, 4096, 0, 128, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 43}
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id: 3388789
{'charpoly_factorization': [[[1024, 0, 512, 0, 60, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 47}
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id: 3388790
{'charpoly_factorization': [[[64, 0, 1216, 0, 80, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 53}
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id: 3388791
{'charpoly_factorization': [[[-179776, 0, 9888, 0, -176, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 59}
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id: 3388792
{'charpoly_factorization': [[[-65536, 0, 7168, 0, -176, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 61}
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id: 3388793
{'charpoly_factorization': [[[4096, 0, 4096, 0, 128, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 67}
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id: 3388794
{'charpoly_factorization': [[[128, -80, -8, 1], 4]], 'hecke_orbit_code': 54043539159387904, 'p': 71}
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id: 3388795
{'charpoly_factorization': [[[16384, 0, 34560, 0, 384, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 73}
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id: 3388796
{'charpoly_factorization': [[[-64, -4, 8, 1], 4]], 'hecke_orbit_code': 54043539159387904, 'p': 79}
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id: 3388797
{'charpoly_factorization': [[[200704, 0, 11264, 0, 192, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 83}
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id: 3388798
{'charpoly_factorization': [[[1384, -164, -10, 1], 4]], 'hecke_orbit_code': 54043539159387904, 'p': 89}
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id: 3388799
{'charpoly_factorization': [[[262144, 0, 28416, 0, 336, 0, 1], 2]], 'hecke_orbit_code': 54043539159387904, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 13, 'label': '3840.2.f.m', 'level': 3840, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 225425000
{'hecke_orbit_code': 54043539159387904, 'n': 1, 'trace_an': 12}
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id: 225425001
{'hecke_orbit_code': 54043539159387904, 'n': 2, 'trace_an': 0}
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id: 225425002
{'hecke_orbit_code': 54043539159387904, 'n': 3, 'trace_an': 0}
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id: 225425003
{'hecke_orbit_code': 54043539159387904, 'n': 4, 'trace_an': 0}
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id: 225425004
{'hecke_orbit_code': 54043539159387904, 'n': 5, 'trace_an': 0}
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id: 225425005
{'hecke_orbit_code': 54043539159387904, 'n': 6, 'trace_an': 0}
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id: 225425006
{'hecke_orbit_code': 54043539159387904, 'n': 7, 'trace_an': 0}
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id: 225425007
{'hecke_orbit_code': 54043539159387904, 'n': 8, 'trace_an': 0}
-
id: 225425008
{'hecke_orbit_code': 54043539159387904, 'n': 9, 'trace_an': -12}
-
id: 225425009
{'hecke_orbit_code': 54043539159387904, 'n': 10, 'trace_an': 0}
-
id: 225425010
{'hecke_orbit_code': 54043539159387904, 'n': 11, 'trace_an': 0}
-
id: 225425011
{'hecke_orbit_code': 54043539159387904, 'n': 12, 'trace_an': 0}
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id: 225425012
{'hecke_orbit_code': 54043539159387904, 'n': 13, 'trace_an': 0}
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id: 225425013
{'hecke_orbit_code': 54043539159387904, 'n': 14, 'trace_an': 0}
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id: 225425014
{'hecke_orbit_code': 54043539159387904, 'n': 15, 'trace_an': 0}
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id: 225425015
{'hecke_orbit_code': 54043539159387904, 'n': 16, 'trace_an': 0}
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id: 225425016
{'hecke_orbit_code': 54043539159387904, 'n': 17, 'trace_an': 0}
-
id: 225425017
{'hecke_orbit_code': 54043539159387904, 'n': 18, 'trace_an': 0}
-
id: 225425018
{'hecke_orbit_code': 54043539159387904, 'n': 19, 'trace_an': 0}
-
id: 225425019
{'hecke_orbit_code': 54043539159387904, 'n': 20, 'trace_an': 0}
-
id: 225425020
{'hecke_orbit_code': 54043539159387904, 'n': 21, 'trace_an': 0}
-
id: 225425021
{'hecke_orbit_code': 54043539159387904, 'n': 22, 'trace_an': 0}
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id: 225425022
{'hecke_orbit_code': 54043539159387904, 'n': 23, 'trace_an': 0}
-
id: 225425023
{'hecke_orbit_code': 54043539159387904, 'n': 24, 'trace_an': 0}
-
id: 225425024
{'hecke_orbit_code': 54043539159387904, 'n': 25, 'trace_an': -4}
-
id: 225425025
{'hecke_orbit_code': 54043539159387904, 'n': 26, 'trace_an': 0}
-
id: 225425026
{'hecke_orbit_code': 54043539159387904, 'n': 27, 'trace_an': 0}
-
id: 225425027
{'hecke_orbit_code': 54043539159387904, 'n': 28, 'trace_an': 0}
-
id: 225425028
{'hecke_orbit_code': 54043539159387904, 'n': 29, 'trace_an': 0}
-
id: 225425029
{'hecke_orbit_code': 54043539159387904, 'n': 30, 'trace_an': 0}
-
id: 225425030
{'hecke_orbit_code': 54043539159387904, 'n': 31, 'trace_an': 32}
-
id: 225425031
{'hecke_orbit_code': 54043539159387904, 'n': 32, 'trace_an': 0}
-
id: 225425032
{'hecke_orbit_code': 54043539159387904, 'n': 33, 'trace_an': 0}
-
id: 225425033
{'hecke_orbit_code': 54043539159387904, 'n': 34, 'trace_an': 0}
-
id: 225425034
{'hecke_orbit_code': 54043539159387904, 'n': 35, 'trace_an': 0}
-
id: 225425035
{'hecke_orbit_code': 54043539159387904, 'n': 36, 'trace_an': 0}
-
id: 225425036
{'hecke_orbit_code': 54043539159387904, 'n': 37, 'trace_an': 0}
-
id: 225425037
{'hecke_orbit_code': 54043539159387904, 'n': 38, 'trace_an': 0}
-
id: 225425038
{'hecke_orbit_code': 54043539159387904, 'n': 39, 'trace_an': -16}
-
id: 225425039
{'hecke_orbit_code': 54043539159387904, 'n': 40, 'trace_an': 0}
-
id: 225425040
{'hecke_orbit_code': 54043539159387904, 'n': 41, 'trace_an': 8}
-
id: 225425041
{'hecke_orbit_code': 54043539159387904, 'n': 42, 'trace_an': 0}
-
id: 225425042
{'hecke_orbit_code': 54043539159387904, 'n': 43, 'trace_an': 0}
-
id: 225425043
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