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mf_newforms • Show schema
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{'Nk2': 3528, 'analytic_conductor': 7.04280545827693, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 3, 'char_parity': 1, 'char_values': [882, 3, [785, 199], [1, 2]], 'cm_discs': [], 'conrey_index': 67, 'conrey_indexes': [67, 79], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 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': [[5, [-5, 2, 1]], [11, [-2, 1]], [13, [576, 0, 24, 0, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540076970967922, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 7, 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': '882.2.h.l', 'level': 882, '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.f.c', 'nf_label': '4.0.576.1', 'prim_orbit_index': 7, 'qexp_display': 'q-\\beta _{2}q^{2}+(\\beta _{1}+\\beta _{2}-\\beta _{3})q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '882.2.h', 'trace_display': [-2, 2, -4, 0], 'trace_hash': 1945287431751400594, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.898', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '53.115', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [0, 1, 1, -1], [-1, 0, 1, 0], [-1, -2, 0, 1], [1, -1, -1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [1, 2, -1, 0], [0, 1, 1, 1], [2, 0, 0, 0], [-1, 0, 0, 1], [0, -2, 0, -2], [0, 0, 0, 0], [-4, -2, 1, 0], [0, 0, -1, 0], [0, 0, 2, 0], [-1, 0, 0, -2], [5, 1, -5, -2], [1, 1, -1, -2], [0, 0, 0, 0], [0, 0, -2, 0], [-1, 0, 0, 0], [0, 1, 1, -1], [2, 4, 0, -2], [0, -2, 0, 4], [5, 0, 0, 1], [0, 0, 0, 0], [2, -2, -2, 4], [1, 0, 3, 2], [6, 0, -6, 0], [-1, 0, 1, 0], [0, 2, 2, -2], [2, 0, -2, 0], [0, 0, 0, 0], [0, -2, 1, 2], [-2, 4, 2, -8], [-5, -2, 0, 1], [-4, 2, -4, -4], [-1, -2, 0, 1], [0, -4, 0, -4], [0, 0, 0, 0], [-2, 2, 2, -4], [-2, 0, 2, 0], [-5, -3, -3, 2], [0, 0, 1, 0], [0, -4, 0, -4], [1, -1, -1, 0], [0, 0, 0, 0], [0, -2, -2, -2], [-2, 2, 2, 0], [0, 4, 0, -2], [0, -2, 6, -2], [0, 1, -5, -1], [-2, -4, 0, 2], [0, 0, 0, 0], [7, 2, -4, -6], [-2, 4, 0, -2], [-2, 0, 2, 0], [3, 2, -4, -2], [0, 1, 9, 1], [-6, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 2, 12, 2], [2, -2, -2, 0], [8, -2, -8, 4], [-2, 0, 0, 0], [0, -1, -1, 1], [0, 0, 0, 0], [5, 4, 0, -2], [1, 2, -1, 0], [0, 2, -2, 2], [2, -8, 0, 4], [8, 4, -2, 0], [0, 1, 5, 1], [0, 0, 0, 0], [-4, -4, 8, 2], [0, -2, -3, -2], [0, 1, 1, 1], [0, 4, 7, -4], [0, -4, 0, 8], [2, 0, -2, 0], [0, 0, 0, 0], [0, -2, -2, -2], [2, -4, 0, 2], [-2, -4, 8, 0], [2, 0, 0, 0], [-12, 2, 12, -4], [-3, 2, 8, 1], [0, 0, 0, 0], [1, 0, -1, 0], [6, 0, 0, -6], [0, -4, 0, 8], [-11, -6, 11, 12], [-1, 0, 0, 1], [-2, -2, 2, 4], [0, 0, 0, 0], [2, 4, -2, 0], [-2, -2, 2, 4]], 'ap': [[0, 0, -1, 0], [0, 1, 1, -1], [-1, -2, 0, 1], [0, 0, 0, 0], [2, 0, 0, 0], [0, -2, 0, -2], [0, 0, 2, 0], [5, 1, -5, -2], [-1, 0, 0, 0], [2, -2, -2, 4], [6, 0, -6, 0], [-2, 4, 2, -8], [0, -4, 0, -4], [-2, 2, 2, -4], [0, -4, 0, -4], [0, -2, 6, -2], [-2, 0, 2, 0], [0, 1, 9, 1], [8, -2, -8, 4], [5, 4, 0, -2], [0, 2, -2, 2], [0, -2, -3, -2], [2, 0, -2, 0], [-12, 2, 12, -4], [-2, -2, 2, 4], [5, -10, 0, 5], [-14, 0, 0, 0], [12, 0, -12, 0], [0, 6, 2, 6], [0, 2, 11, 2], [-3, 0, 0, 0], [11, 2, 0, -1], [-2, -8, 0, 4], [0, 1, 7, 1], [-6, 0, 0, 0], [-5, 0, 0, 0], [-1, 3, 1, -6], [10, -4, -10, 8], [0, 6, 4, 6], [0, -2, -8, -2], [0, 6, -6, 6], [3, -6, 0, 3], [0, -2, -9, -2], [13, -2, -13, 4], [2, -12, 0, 6], [0, 2, 2, 2], [0, 2, -8, 2], [-16, -2, 16, 4], [3, -2, 0, 1], [11, 10, 0, -5], [7, 0, -7, 0], [0, 4, 3, 4], [4, 4, 0, -2], [-15, 2, 0, -1], [-18, -8, 0, 4], [21, -4, 0, 2], [0, 3, -11, 3], [12, 2, -12, -4], [-4, 12, 0, -6], [19, 0, -19, 0], [-23, 1, 23, -2], [0, 5, 15, 5], [-13, 10, 0, -5], [16, -6, -16, 12], [0, 6, 10, 6], [0, 6, -6, 6], [0, 6, 10, 6], [0, -12, -6, -12], [0, 8, 0, -16], [16, 2, -16, -4], [6, 0, 0, 0], [-1, -4, 1, 8], [4, -8, 0, 4], [-2, 4, 0, -2], [-2, -20, 0, 10], [-2, -4, 0, 2], [-20, 4, 0, -2], [24, -6, -24, 12], [-15, 4, 0, -2], [-4, 4, 4, -8], [0, -1, 27, -1], [-18, 2, 18, -4], [0, 8, -12, 8], [-2, -8, 0, 4], [0, 4, 12, 4], [0, -2, 10, -2], [1, -16, 0, 8], [0, -10, -7, -10], [13, 3, -13, -6], [0, 6, 11, 6], [10, 0, -10, 0], [10, 16, 0, -8], [0, -12, 7, -12], [0, 4, -6, 4], [4, 24, 0, -12], [0, -20, 0, 10], [12, 4, 0, -2], [0, -6, -24, -6], [-7, 3, 7, -6], [-6, -10, 6, 20], [-12, -8, 12, 16], [0, -2, 8, -2], [-13, 11, 13, -22], [0, 0, 30, 0], [-24, 4, 24, -8], [0, 8, 4, 8], [-1, -7, 1, 14], [0, -6, 0, 12], [24, -4, -24, 8], [2, -6, -2, 12], [-6, 12, 0, -6], [0, -6, 0, -6], [0, -12, -14, -12], [-13, 14, 0, -7], [23, -4, 0, 2], [17, 20, 0, -10], [0, 12, -10, 12], [0, 6, -36, 6], [0, -8, 0, 4], [10, -6, -10, 12], [7, 1, -7, -2], [-11, -8, 11, 16], [0, -6, 0, -6], [0, 4, -42, 4], [0, -9, 29, -9], [22, 24, 0, -12], [0, 8, -8, 8], [0, -4, 0, 8], [16, 10, -16, -20], [15, -2, 0, 1], [0, 8, 6, 8], [0, 0, -36, 0], [21, 16, 0, -8], [-6, 24, 0, -12], [-2, 0, 0, 0], [0, 18, 10, 18], [0, -11, 7, -11], [18, 12, -18, -24], [0, 11, 9, 11], [0, 4, 26, 4], [2, 0, 0, 0], [0, -8, -20, -8], [-16, -12, 16, 24], [-12, 20, 0, -10], [0, 6, 16, 6], [-40, -2, 40, 4], [-7, -13, 7, 26], [30, -4, 0, 2], [10, 0, 0, 0], [-7, 2, 7, -4], [-2, -20, 0, 10], [0, 16, 0, -8], [-10, 8, 0, -4], [24, 8, 0, -4], [-12, -12, 0, 6], [-3, 20, 3, -40], [11, -6, -11, 12], [0, -14, 0, -14], [-26, 16, 0, -8], [1, 1, -1, -2], [0, 10, -28, 10], [26, 24, 0, -12], [0, 8, -5, 8], [-27, -11, 27, 22], [18, -8, -18, 16], [-6, -32, 0, 16], [0, -4, -8, -4], [-35, 14, 0, -7]], 'char_orbit_index': 8, 'field_poly': [4, 0, -2, 0, 1], 'hecke_orbit_code': 49540076970967922, 'hecke_ring_character_values': [[785, [0, 0, -1, 0]], [199, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '882.2.h.l', 'level': 882, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3528, 'analytic_conductor': 7.04280545827693, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 3, 'char_parity': 1, 'char_values': [882, 3, [785, 199], [1, 2]], 'conrey_index': 67, 'cusp_dim': 304, 'dim': 80, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 481069892466, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 8, 8, 8, 8], 'label': '882.2.h', 'level': 882, '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': 368, 'mf_new_dim': 80, 'num_forms': 20, 'prim_orbit_index': 7, 'relative_dim': 40, 'sturm_bound': 336, 'trace_bound': 9, 'trace_display': [0, 0, -8, 0], 'traces': [80, 0, 0, -40, -8, 4, 0, 0, 6, 0, 16, 0, -2, 0, -14, -40, 14, -20, 4, 4, 0, 0, 4, -2, 80, 16, 0, 0, 18, -18, -2, 0, -2, 0, 0, 12, -2, -24, 2, 0, 6, 0, -2, 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mf_twists_nf • Show schema
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id: 552013
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.f.c', 'target_level': 126, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 552014
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.f.c', 'target_level': 126, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 552015
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.f.d', 'target_level': 378, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 552016
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.f.d', 'target_level': 378, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 552017
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.2.e.m', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 552018
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.2.e.m', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 552019
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.2.e.n', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 552020
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.2.e.n', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 552021
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '882.2.f.j', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 552022
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '882.2.f.j', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 552023
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '882.2.h.k', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 552024
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '882.2.h.k', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 552025
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '882.2.h.l', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 552026
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '882.2.h.l', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 552027
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1008.2.r.e', 'target_level': 1008, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 552028
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1008.2.r.e', 'target_level': 1008, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '252.bj', 'twisting_char_orbit': 36, 'weight': 2}
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id: 552029
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1134.2.a.i', 'target_level': 1134, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 552030
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1134.2.a.p', 'target_level': 1134, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 552031
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.e.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 552032
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.e.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 552033
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2646.2.e.l', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 552034
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2646.2.e.l', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 552035
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.f.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 552036
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.f.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 552037
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2646.2.h.m', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 552038
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2646.2.h.m', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 552039
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2646.2.h.n', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 552040
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2646.2.h.n', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 552041
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.r.e', 'target_level': 3024, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 552042
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.r.e', 'target_level': 3024, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '252.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 552043
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '7938.2.a.bm', 'target_level': 7938, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 552044
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '7938.2.a.bn', 'target_level': 7938, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 552045
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '9072.2.a.bd', 'target_level': 9072, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '252.bn', 'twisting_char_orbit': 40, 'weight': 2}
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id: 552046
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '882.2.h.l', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '9072.2.a.bk', 'target_level': 9072, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '252.n', 'twisting_char_orbit': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1445250
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 49540076970967922, 'p': 2}
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id: 1445251
{'charpoly_factorization': [[[9, -6, 1, -2, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 3}
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id: 1445252
{'charpoly_factorization': [[[-5, 2, 1], 2]], 'hecke_orbit_code': 49540076970967922, 'p': 5}
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id: 1445253
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49540076970967922, 'p': 7}
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id: 1445254
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 49540076970967922, 'p': 11}
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id: 1445255
{'charpoly_factorization': [[[576, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 13}
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id: 1445256
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 49540076970967922, 'p': 17}
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id: 1445257
{'charpoly_factorization': [[[361, -190, 81, -10, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 19}
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id: 1445258
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 49540076970967922, 'p': 23}
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id: 1445259
{'charpoly_factorization': [[[400, 80, 36, -4, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 29}
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id: 1445260
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 49540076970967922, 'p': 31}
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id: 1445261
{'charpoly_factorization': [[[8464, -368, 108, 4, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 37}
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id: 1445262
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 41}
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id: 1445263
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 43}
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id: 1445264
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 47}
-
id: 1445265
{'charpoly_factorization': [[[144, -144, 132, -12, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 53}
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id: 1445266
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 49540076970967922, 'p': 59}
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id: 1445267
{'charpoly_factorization': [[[5625, -1350, 249, -18, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 61}
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id: 1445268
{'charpoly_factorization': [[[1600, -640, 216, -16, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 67}
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id: 1445269
{'charpoly_factorization': [[[1, -10, 1], 2]], 'hecke_orbit_code': 49540076970967922, 'p': 71}
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id: 1445270
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 73}
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id: 1445271
{'charpoly_factorization': [[[225, -90, 51, 6, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 79}
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id: 1445272
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 49540076970967922, 'p': 83}
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id: 1445273
{'charpoly_factorization': [[[14400, 2880, 456, 24, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 89}
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id: 1445274
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 49540076970967922, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 12, 'label': '882.2.h.l', 'level': 882, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 220666000
{'hecke_orbit_code': 49540076970967922, 'n': 1, 'trace_an': 4}
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id: 220666001
{'hecke_orbit_code': 49540076970967922, 'n': 2, 'trace_an': -2}
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id: 220666002
{'hecke_orbit_code': 49540076970967922, 'n': 3, 'trace_an': 2}
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id: 220666003
{'hecke_orbit_code': 49540076970967922, 'n': 4, 'trace_an': -2}
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id: 220666004
{'hecke_orbit_code': 49540076970967922, 'n': 5, 'trace_an': -4}
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id: 220666005
{'hecke_orbit_code': 49540076970967922, 'n': 6, 'trace_an': 2}
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id: 220666006
{'hecke_orbit_code': 49540076970967922, 'n': 7, 'trace_an': 0}
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id: 220666007
{'hecke_orbit_code': 49540076970967922, 'n': 8, 'trace_an': 4}
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id: 220666008
{'hecke_orbit_code': 49540076970967922, 'n': 9, 'trace_an': 2}
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id: 220666009
{'hecke_orbit_code': 49540076970967922, 'n': 10, 'trace_an': 2}
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id: 220666010
{'hecke_orbit_code': 49540076970967922, 'n': 11, 'trace_an': 8}
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id: 220666011
{'hecke_orbit_code': 49540076970967922, 'n': 12, 'trace_an': -4}
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id: 220666012
{'hecke_orbit_code': 49540076970967922, 'n': 13, 'trace_an': 0}
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id: 220666013
{'hecke_orbit_code': 49540076970967922, 'n': 14, 'trace_an': 0}
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id: 220666014
{'hecke_orbit_code': 49540076970967922, 'n': 15, 'trace_an': -14}
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id: 220666015
{'hecke_orbit_code': 49540076970967922, 'n': 16, 'trace_an': -2}
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id: 220666016
{'hecke_orbit_code': 49540076970967922, 'n': 17, 'trace_an': 4}
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id: 220666017
{'hecke_orbit_code': 49540076970967922, 'n': 18, 'trace_an': -4}
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id: 220666018
{'hecke_orbit_code': 49540076970967922, 'n': 19, 'trace_an': 10}
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id: 220666019
{'hecke_orbit_code': 49540076970967922, 'n': 20, 'trace_an': 2}
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id: 220666020
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