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mf_newforms • Show schema
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [1134, 3, [407, 325], [3, 1]], 'cm_discs': [], 'conrey_index': 163, 'conrey_indexes': [163, 487], 'dim': 6, 'field_disc': -309123, 'field_disc_factorization': [[-1, 1], [3, 3], [107, 2]], 'field_poly': [3, -12, 19, -15, 10, -3, 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': [[5, [9, -12, 31, 26, 21, 5, 1]], [11, [1089, -858, 643, -92, 27, 1, 1]], [17, [28224, 7392, 2608, 160, 60, 4, 1]], [23, [9, -12, 37, 34, 45, 7, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036408624120942, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1134.2.g.k', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.e.d', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{4})q^{2}-\\beta _{4}q^{4}+(-2+2\\beta _{4}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1134.2.g', 'trace_display': [-3, 0, -5, -2], 'trace_hash': 172210109345666056, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.135', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.903', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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[0, 29, -2, -2, -1, -29], [43, 0, 3, 0, -43, 0], [44, 14, 0, -14, 0, 0], [3, 0, -9, 0, -3, 3], [43, 10, 0, -6, 0, 0], [32, 0, -13, 0, -32, 21], [-18, 0, -9, 0, 18, -6], [0, 26, 11, 11, 13, -26]], 'char_orbit_index': 7, 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'hecke_orbit_code': 45036408624120942, 'hecke_ring_character_values': [[407, [1, 0, 0, 0, 0, 0]], [325, [-1, 0, 0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 1, 3, 3], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [2, 1, -2, -1, -1, -2], [-4, 4, -2, -1, -1, -2], [-10, 1, 4, 2, 5, 7], [5, -17, 10, 8, 11, 16], [47, -23, -5, 5, -16, -14]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [2, -1, 1, 0, 0, 0], [6, -18, 5, -8, 1, -1], [3, -5, 6, -2, 1, 0], [9, -21, 19, -16, 5, -2], [-9, 30, -22, 19, -5, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '1134.2.g.k', 'level': 1134, 'maxp': 1999, 'weight': 2}
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{'Nk2': 4536, 'analytic_conductor': 9.055035589213196, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [1134, 3, [407, 325], [3, 1]], 'conrey_index': 163, 'cusp_dim': 384, 'dim': 64, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17, 23], 'hecke_orbit_code': 412350415982, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 8, 8], 'label': '1134.2.g', 'level': 1134, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 480, 'mf_new_dim': 64, 'num_forms': 16, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 432, 'trace_bound': 7, 'trace_display': [0, 0, 0, -8], 'traces': [64, 0, 0, -32, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, -32, 0, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 4, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -40, 0, 0, -12, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 653917
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '126.2.e.d', 'target_level': 126, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 653918
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '126.2.e.d', 'target_level': 126, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 653919
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.h.c', 'target_level': 126, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 653920
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.h.c', 'target_level': 126, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 653921
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '378.2.e.c', 'target_level': 378, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 653922
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '378.2.e.c', 'target_level': 378, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 653923
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.h.d', 'target_level': 378, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 653924
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.h.d', 'target_level': 378, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 653925
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '882.2.e.p', 'target_level': 882, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 653926
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '882.2.e.p', 'target_level': 882, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 653927
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '882.2.f.l', 'target_level': 882, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 653928
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '882.2.f.l', 'target_level': 882, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 653929
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.2.f.m', 'target_level': 882, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 653930
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.2.f.m', 'target_level': 882, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 653931
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '882.2.h.o', 'target_level': 882, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 653932
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '882.2.h.o', 'target_level': 882, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 653933
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1008.2.q.h', 'target_level': 1008, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 653934
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1008.2.q.h', 'target_level': 1008, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '252.bl', 'twisting_char_orbit': 38, 'weight': 2}
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id: 653935
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.t.g', 'target_level': 1008, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 653936
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.t.g', 'target_level': 1008, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '252.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 653937
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1134.2.g.k', 'target_level': 1134, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 653938
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1134.2.g.k', 'target_level': 1134, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 653939
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1134.2.g.n', 'target_level': 1134, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 653940
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1134.2.g.n', 'target_level': 1134, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 653941
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2646.2.e.o', 'target_level': 2646, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 653942
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2646.2.e.o', 'target_level': 2646, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 653943
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2646.2.f.n', 'target_level': 2646, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 653944
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2646.2.f.n', 'target_level': 2646, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 653945
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2646.2.f.o', 'target_level': 2646, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 653946
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2646.2.f.o', 'target_level': 2646, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 653947
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2646.2.h.p', 'target_level': 2646, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 653948
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2646.2.h.p', 'target_level': 2646, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 653949
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3024.2.q.h', 'target_level': 3024, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 653950
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3024.2.q.h', 'target_level': 3024, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '252.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 653951
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3024.2.t.g', 'target_level': 3024, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 653952
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3024.2.t.g', 'target_level': 3024, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '252.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 653953
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '7938.2.a.bu', 'target_level': 7938, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 653954
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '7938.2.a.bx', 'target_level': 7938, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 653955
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '7938.2.a.by', 'target_level': 7938, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 653956
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 6, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '1134.2.g.k', 'source_level': 1134, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 54, 'target_is_minimal': False, 'target_label': '7938.2.a.cb', 'target_level': 7938, 'twist_class_label': '126.2.e.d', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1710450
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 45036408624120942, 'p': 2}
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id: 1710451
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 45036408624120942, 'p': 3}
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id: 1710452
{'charpoly_factorization': [[[9, -12, 31, 26, 21, 5, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 5}
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id: 1710453
{'charpoly_factorization': [[[343, 98, -28, -31, -4, 2, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 7}
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id: 1710454
{'charpoly_factorization': [[[1089, -858, 643, -92, 27, 1, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 11}
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id: 1710455
{'charpoly_factorization': [[[3, -3, -2, 1], 2]], 'hecke_orbit_code': 45036408624120942, 'p': 13}
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id: 1710456
{'charpoly_factorization': [[[28224, 7392, 2608, 160, 60, 4, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 17}
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id: 1710457
{'charpoly_factorization': [[[49, 42, 57, -4, 15, 3, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 19}
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id: 1710458
{'charpoly_factorization': [[[9, -12, 37, 34, 45, 7, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 23}
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id: 1710459
{'charpoly_factorization': [[[-33, -32, -5, 1], 2]], 'hecke_orbit_code': 45036408624120942, 'p': 29}
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id: 1710460
{'charpoly_factorization': [[[729, -1215, 2403, 684, 151, 14, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 31}
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id: 1710461
{'charpoly_factorization': [[[5329, 657, 738, 65, 90, 9, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 37}
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id: 1710462
{'charpoly_factorization': [[[-27, 39, -12, 1], 2]], 'hecke_orbit_code': 45036408624120942, 'p': 41}
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id: 1710463
{'charpoly_factorization': [[[1, 81, 18, 1], 2]], 'hecke_orbit_code': 45036408624120942, 'p': 43}
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id: 1710464
{'charpoly_factorization': [[[729, 648, 495, 126, 33, -3, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 47}
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id: 1710465
{'charpoly_factorization': [[[81, 378, 1683, 396, 123, -9, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 53}
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id: 1710466
{'charpoly_factorization': [[[31329, 17877, 9493, 758, 117, -4, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 59}
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id: 1710467
{'charpoly_factorization': [[[514089, -96795, 21093, -894, 151, -4, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 61}
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id: 1710468
{'charpoly_factorization': [[[22201, -8642, 4109, -8, 83, -5, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 67}
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id: 1710469
{'charpoly_factorization': [[[99, -50, -7, 1], 2]], 'hecke_orbit_code': 45036408624120942, 'p': 71}
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id: 1710470
{'charpoly_factorization': [[[2401, -7448, 24329, 3898, 473, 25, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 73}
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id: 1710471
{'charpoly_factorization': [[[594441, -111024, 26133, -534, 193, -7, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 79}
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id: 1710472
{'charpoly_factorization': [[[-93, -5, 8, 1], 2]], 'hecke_orbit_code': 45036408624120942, 'p': 83}
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id: 1710473
{'charpoly_factorization': [[[3969, 378, 603, 72, 87, 9, 1], 1]], 'hecke_orbit_code': 45036408624120942, 'p': 89}
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id: 1710474
{'charpoly_factorization': [[[-536, 236, -28, 1], 2]], 'hecke_orbit_code': 45036408624120942, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 11, 'label': '1134.2.g.k', 'level': 1134, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 215152000
{'hecke_orbit_code': 45036408624120942, 'n': 1, 'trace_an': 6}
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id: 215152001
{'hecke_orbit_code': 45036408624120942, 'n': 2, 'trace_an': -3}
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id: 215152002
{'hecke_orbit_code': 45036408624120942, 'n': 3, 'trace_an': 0}
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id: 215152003
{'hecke_orbit_code': 45036408624120942, 'n': 4, 'trace_an': -3}
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id: 215152004
{'hecke_orbit_code': 45036408624120942, 'n': 5, 'trace_an': -5}
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id: 215152005
{'hecke_orbit_code': 45036408624120942, 'n': 6, 'trace_an': 0}
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id: 215152006
{'hecke_orbit_code': 45036408624120942, 'n': 7, 'trace_an': -2}
-
id: 215152007
{'hecke_orbit_code': 45036408624120942, 'n': 8, 'trace_an': 6}
-
id: 215152008
{'hecke_orbit_code': 45036408624120942, 'n': 9, 'trace_an': 0}
-
id: 215152009
{'hecke_orbit_code': 45036408624120942, 'n': 10, 'trace_an': -5}
-
id: 215152010
{'hecke_orbit_code': 45036408624120942, 'n': 11, 'trace_an': -1}
-
id: 215152011
{'hecke_orbit_code': 45036408624120942, 'n': 12, 'trace_an': 0}
-
id: 215152012
{'hecke_orbit_code': 45036408624120942, 'n': 13, 'trace_an': 4}
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id: 215152013
{'hecke_orbit_code': 45036408624120942, 'n': 14, 'trace_an': -2}
-
id: 215152014
{'hecke_orbit_code': 45036408624120942, 'n': 15, 'trace_an': 0}
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id: 215152015
{'hecke_orbit_code': 45036408624120942, 'n': 16, 'trace_an': -3}
-
id: 215152016
{'hecke_orbit_code': 45036408624120942, 'n': 17, 'trace_an': -4}
-
id: 215152017
{'hecke_orbit_code': 45036408624120942, 'n': 18, 'trace_an': 0}
-
id: 215152018
{'hecke_orbit_code': 45036408624120942, 'n': 19, 'trace_an': -3}
-
id: 215152019
{'hecke_orbit_code': 45036408624120942, 'n': 20, 'trace_an': 10}
-
id: 215152020
{'hecke_orbit_code': 45036408624120942, 'n': 21, 'trace_an': 0}
-
id: 215152021
{'hecke_orbit_code': 45036408624120942, 'n': 22, 'trace_an': 2}
-
id: 215152022
{'hecke_orbit_code': 45036408624120942, 'n': 23, 'trace_an': -7}
-
id: 215152023
{'hecke_orbit_code': 45036408624120942, 'n': 24, 'trace_an': 0}
-
id: 215152024
{'hecke_orbit_code': 45036408624120942, 'n': 25, 'trace_an': -2}
-
id: 215152025
{'hecke_orbit_code': 45036408624120942, 'n': 26, 'trace_an': -2}
-
id: 215152026
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id: 215152987
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id: 215152988
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id: 215152989
{'hecke_orbit_code': 45036408624120942, 'n': 990, 'trace_an': 0}
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id: 215152990
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id: 215152991
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id: 215152992
{'hecke_orbit_code': 45036408624120942, 'n': 993, 'trace_an': 0}
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id: 215152993
{'hecke_orbit_code': 45036408624120942, 'n': 994, 'trace_an': -17}
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id: 215152994
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id: 215152995
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id: 215152996
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id: 215152997
{'hecke_orbit_code': 45036408624120942, 'n': 998, 'trace_an': 35}
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id: 215152998
{'hecke_orbit_code': 45036408624120942, 'n': 999, 'trace_an': 0}
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id: 215152999
{'hecke_orbit_code': 45036408624120942, 'n': 1000, 'trace_an': 12}