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mf_newforms • Show schema
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{'Nk2': 16224, 'analytic_conductor': 32.387323059831324, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4056, 2, [1015, 2029, 2705, 3889], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 0, 1]], [7, [16, 0, 1]], [11, [4, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532534118846424, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 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': '4056.2.c.j', 'level': 4056, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '312.2.a.d', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+q^{3}+2iq^{5}-2iq^{7}+q^{9}-iq^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4056.2.c', 'trace_display': [0, 2, 0, 0], 'trace_hash': 1498078068906233573, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.054', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.564', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.427', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.925', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 16224, 'analytic_conductor': 32.387323059831324, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4056, 2, [1015, 2029, 2705, 3889], [2, 2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 672, 'dim': 78, 'eis_dim': 112, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 137472511960, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 8, 12, 12], 'label': '4056.2.c', 'level': 4056, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 784, 'mf_new_dim': 78, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 78, 'sturm_bound': 1456, 'trace_bound': 23, 'trace_display': [0, -2, 0, 0], 'traces': [78, 0, -2, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -74, 0, -2, 0, -24, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1186998
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '312.2.a.d', 'target_level': 312, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1186999
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '624.2.a.a', 'target_level': 624, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1187000
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '936.2.a.i', 'target_level': 936, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1187001
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1872.2.a.t', 'target_level': 1872, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1187002
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2496.2.a.n', 'target_level': 2496, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '104.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1187003
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '2496.2.a.bd', 'target_level': 2496, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '104.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1187004
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4056.2.a.s', 'target_level': 4056, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1187005
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4056.2.c.j', 'target_level': 4056, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1187006
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4056.2.c.j', 'target_level': 4056, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1187007
{'conductor': 312, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '7488.2.a.b', 'target_level': 7488, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '312.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 1187008
{'conductor': 312, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '7488.2.a.e', 'target_level': 7488, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '312.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1187009
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '7800.2.a.j', 'target_level': 7800, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1187010
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '4056.2.c.j', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '8112.2.a.o', 'target_level': 8112, 'twist_class_label': '312.2.a.d', 'twist_class_level': 312, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3485600
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 2}
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id: 3485601
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 3}
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id: 3485602
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 5}
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id: 3485603
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 7}
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id: 3485604
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 11}
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id: 3485605
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 13}
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id: 3485606
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 17}
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id: 3485607
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 19}
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id: 3485608
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 23}
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id: 3485609
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 29}
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id: 3485610
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 31}
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id: 3485611
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 37}
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id: 3485612
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 41}
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id: 3485613
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 43}
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id: 3485614
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 47}
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id: 3485615
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 53}
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id: 3485616
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 59}
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id: 3485617
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 61}
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id: 3485618
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 67}
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id: 3485619
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 71}
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id: 3485620
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 73}
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id: 3485621
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532534118846424, 'p': 79}
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id: 3485622
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 83}
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id: 3485623
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 89}
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id: 3485624
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 40532534118846424, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 10, 'label': '4056.2.c.j', 'level': 4056, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 208558000
{'hecke_orbit_code': 40532534118846424, 'n': 1, 'trace_an': 2}
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id: 208558001
{'hecke_orbit_code': 40532534118846424, 'n': 2, 'trace_an': 0}
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id: 208558002
{'hecke_orbit_code': 40532534118846424, 'n': 3, 'trace_an': 2}
-
id: 208558003
{'hecke_orbit_code': 40532534118846424, 'n': 4, 'trace_an': 0}
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id: 208558004
{'hecke_orbit_code': 40532534118846424, 'n': 5, 'trace_an': 0}
-
id: 208558005
{'hecke_orbit_code': 40532534118846424, 'n': 6, 'trace_an': 0}
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id: 208558006
{'hecke_orbit_code': 40532534118846424, 'n': 7, 'trace_an': 0}
-
id: 208558007
{'hecke_orbit_code': 40532534118846424, 'n': 8, 'trace_an': 0}
-
id: 208558008
{'hecke_orbit_code': 40532534118846424, 'n': 9, 'trace_an': 2}
-
id: 208558009
{'hecke_orbit_code': 40532534118846424, 'n': 10, 'trace_an': 0}
-
id: 208558010
{'hecke_orbit_code': 40532534118846424, 'n': 11, 'trace_an': 0}
-
id: 208558011
{'hecke_orbit_code': 40532534118846424, 'n': 12, 'trace_an': 0}
-
id: 208558012
{'hecke_orbit_code': 40532534118846424, 'n': 13, 'trace_an': 0}
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id: 208558013
{'hecke_orbit_code': 40532534118846424, 'n': 14, 'trace_an': 0}
-
id: 208558014
{'hecke_orbit_code': 40532534118846424, 'n': 15, 'trace_an': 0}
-
id: 208558015
{'hecke_orbit_code': 40532534118846424, 'n': 16, 'trace_an': 0}
-
id: 208558016
{'hecke_orbit_code': 40532534118846424, 'n': 17, 'trace_an': 12}
-
id: 208558017
{'hecke_orbit_code': 40532534118846424, 'n': 18, 'trace_an': 0}
-
id: 208558018
{'hecke_orbit_code': 40532534118846424, 'n': 19, 'trace_an': 0}
-
id: 208558019
{'hecke_orbit_code': 40532534118846424, 'n': 20, 'trace_an': 0}
-
id: 208558020
{'hecke_orbit_code': 40532534118846424, 'n': 21, 'trace_an': 0}
-
id: 208558021
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