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mf_newforms • Show schema
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{'Nk2': 504, 'analytic_conductor': 1.0061150654681328, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [2, 2]], 'cm_discs': [], 'conrey_index': 25, '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, 18, 33, 12, 7, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202494, 'hecke_ring_generator_nbound': 5, '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, 8, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '126.2.e.c', 'level': 126, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.e.c', 'nf_label': '6.0.309123.1', 'prim_orbit_index': 8, 'qexp_display': 'q-q^{2}+(-\\beta _{2}-\\beta _{4})q^{3}+q^{4}+(1-\\beta _{1}+\\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': '126.2.e', 'trace_display': [-6, 2, 1, 2], 'trace_hash': 1223061718509331722, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.911', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '151.625', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7141.386', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [6, -6, 2, 6, 1, -2, 2, -6, 8, -1, -1, 2, 8, -2, 12, 6, -4, -8, -3, 1, -10, 1, -7, -2, 2, -8, -7, 2, -5, -12, -40, -6, -3, 4, -13, 8, 3, 3, -5, -1, 0, 10, -6, -1, 9, 7, 18, 2, 12, -2, 6, 8, 15, 7, -26, -2, 22, 5, 28, 12, -16, 40, -31, 6, 24, 3, -2, -4, 3, 13, 14, -8, 19, -3, 8, -3, 10, 5, -10, 1, 8, 0, 2, -10, -2, 6, -27, 1, -9, -9, -46, -7, -38, -18, 8, -2, 28, -12, -3, 2, -29, -6, 0, -8, 6, -15, 27, -7, -5, 26, 4, 2, -35, -22, 4, -5, -5, -28, -26, -12, 20, 16, -12, -40, -36, 31, 38, -6, 37, -24, -2, -3, 49, 2, 48, 4, 16, -3, 10, -13, -6, -14, 12, 8, 32, -19, 32, 3, 0, -8, 7, 3, -54, -10, -21, -5, -18, 10, -21, -1, 1, -8, 12, 0, -27, -2, 16, 10, -23, 2, 22, -6, -8, 27, 33, -1, -9, 9, 6, 9, -10, 46, 13, 7, 2, 38, -4, 18, -40, -8, -36, 2, 24, -28, 90, 12, -58, 3, 36, -2, 67, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0], [0, 0, -1, 0, -1, 0], [1, 0, 0, 0, 0, 0], [1, -1, 0, 1, -1, -1], [0, 0, 1, 0, 1, 0], [0, 2, 1, -1, 2, -1], [-1, 0, 0, 0, 0, 0], [2, 1, 1, 2, 0, -1], [-1, 1, 0, -1, 1, 1], [0, 0, 1, 0, 0, -1], [0, 0, -1, 0, -1, 0], [3, 2, 1, 2, 3, -1], [0, -2, -1, 1, -2, 1], [2, -2, 0, 1, -3, 0], [1, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, -2], [-2, -1, -1, -2, 0, 1], [-2, -3, -3, -3, -2, 3], [1, -1, 0, 1, -1, -1], [-5, 2, 0, -2, -2, 1], [0, 0, -1, 0, 0, 1], [0, -1, 0, 0, 2, 1], [0, 0, 1, 0, 1, 0], [1, -1, 1, -1, 1, -1], [-3, -2, -1, -2, -3, 1], [-1, -2, -2, 2, -3, 2], [0, 2, 1, -1, 2, -1], [-2, -1, 0, -2, 2, 5], [-2, 2, 0, -1, 3, 0], [-7, 1, 2, 0, 1, 0], [-1, 0, 0, 0, 0, 0], [-2, -1, 0, -1, -3, 0], [0, -2, 0, 0, -2, 2], [-2, 1, -2, -2, 4, 2], [2, 1, 1, 2, 0, -1], [1, 0, 0, 0, 1, 0], [2, 3, 3, 3, 2, -3], [-2, -1, -3, 0, -1, 5], [-1, 1, 0, -1, 1, 1], [1, 1, 3, 1, 1, -3], [5, -2, 0, 2, 2, -1], [3, -6, 0, 3, -1, 0], [0, 0, 1, 0, 0, -1], [3, -3, -2, 2, -4, -2], [0, 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20, 0, -7, 26, -6], [3, 2, 0, 3, -1, -8], [-13, 5, -11, -21, 5, 0], [-12, 0, 0, -12, 5, 24], [0, 0, 3, 3, 0, 0], [-4, 11, 0, -4, 14, -3], [8, 0, 9, 9, 0, 0], [-3, -4, -23, -15, -4, 0], [26, -9, 0, 18, -9, 0], [31, 10, 3, 10, 31, -3], [-1, -6, 0, -1, -16, 8], [13, -18, 0, 13, -19, -8], [1, 15, 0, 1, 11, -17], [-5, 4, 12, 4, -5, -12], [1, -3, 0, 1, 5, 1], [-7, 1, 5, 3, 1, 0], [-3, 5, 0, -3, 8, 1], [2, -20, -25, -20, 2, 25], [-5, -1, 0, -5, -13, 11], [-13, -5, -16, -6, -5, 0], [13, 13, 24, 13, 13, -24], [-8, 5, 0, -8, 11, 11], [-7, 2, 19, 15, 2, 0], [24, 7, 8, -6, 7, 0], [23, -4, 7, 15, -4, 0], [-15, 6, -3, -15, 6, 0], [8, -9, 0, 8, 11, -7], [3, -7, 0, 3, -37, 1], [-3, 12, 0, -3, 17, -6], [-5, -2, -15, -2, -5, 15], [9, -9, 0, 9, 2, -9], [-1, -1, -1, -1, -1, 1], [8, -12, 0, 8, -25, -4], [-12, -9, -12, 6, -9, 0], [8, -12, -18, 6, -12, 0], [11, 2, 0, 11, -10, -24], [-3, -1, -17, -1, -3, 17], [2, -4, 0, 2, -31, 0], [-13, -11, 2, -11, -13, -2], [-45, 3, 0, -6, 3, 0], [-4, -3, -3, 3, -3, 0], [6, 2, 4, 0, 2, 0], [3, -4, 4, 12, -4, 0], [6, -2, 14, 18, -2, 0], [37, -6, -3, -6, 37, 3], [-5, 10, 6, 10, -5, -6], [-27, 9, 15, -3, 9, 0], [22, -11, 6, -11, 22, -6], [3, -6, 0, 3, -25, 0], [4, 0, 3, 0, 4, -3]], 'char_orbit_index': 5, 'field_poly': [3, -12, 19, -15, 10, -3, 1], 'hecke_orbit_code': 9007474166202494, 'hecke_ring_character_values': [[29, [-1, 0, 0, 0, -1, 0]], [73, [-1, 0, 0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 3, 3, 3, 3], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [-2, 1, 1, 1, 0, 0], [-1, -3, 1, 1, 1, 1], [6, -6, -3, -5, 3, 2], [7, 8, -6, -11, -2, -3]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [6, 0, 1, 5, -1, 1], [0, -3, 2, -5, 1, -1], [6, -21, 19, -16, 5, -2], [-9, 33, -22, 19, -5, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '126.2.e.c', 'level': 126, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 504, 'analytic_conductor': 1.0061150654681328, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [2, 2]], 'conrey_index': 25, 'cusp_dim': 40, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461502, 'hecke_orbit_dims': [2, 2, 6, 6], 'label': '126.2.e', 'level': 126, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 56, 'mf_new_dim': 16, 'num_forms': 4, 'prim_orbit_index': 8, 'relative_dim': 8, 'sturm_bound': 48, 'trace_bound': 2, 'trace_display': [0, 0, -4, -2], 'traces': [16, 0, 0, 16, -4, -4, -2, 0, -8, 0, 4, 0, 2, 2, 10, 16, -14, -12, -4, -4, -20, 0, -2, -4, -8, -16, 0, -2, -10, 4, -4, 0, -40, 0, -14, -8, 2, -12, 16, 0, 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106, 72, 44, -76, -48, -88, -110, 172, -26, -6, 18, -8, 42, 168, -60, 50, 60, -50, 10, 192, 52, 66, 32, 46, -50, 128, -40, -128, -18, 18, 30, 68, -12, 34, -16, -132, 28, 96, -88, -72, 96, 150, -36, -150, -74, 96, 28, -4, -62, 62, 44, -72, 84, 10, -34, 92, 10, 48, 60], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 107193
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.e.c', 'target_level': 126, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 107194
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.e.c', 'target_level': 126, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107195
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '126.2.h.d', 'target_level': 126, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107196
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '126.2.h.d', 'target_level': 126, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107197
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.e.d', 'target_level': 378, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 107198
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.e.d', 'target_level': 378, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 107199
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '378.2.h.c', 'target_level': 378, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 107200
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '378.2.h.c', 'target_level': 378, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107201
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '882.2.e.o', 'target_level': 882, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 107202
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '882.2.e.o', 'target_level': 882, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 107203
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.2.f.n', 'target_level': 882, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107204
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.2.f.n', 'target_level': 882, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 107205
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '882.2.f.o', 'target_level': 882, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 107206
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '882.2.f.o', 'target_level': 882, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 107207
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '882.2.h.p', 'target_level': 882, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 107208
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '882.2.h.p', 'target_level': 882, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 107209
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.q.g', 'target_level': 1008, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 107210
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1008.2.q.g', 'target_level': 1008, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '252.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 107211
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1008.2.t.h', 'target_level': 1008, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 107212
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1008.2.t.h', 'target_level': 1008, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 107213
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1134.2.g.l', 'target_level': 1134, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 107214
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1134.2.g.l', 'target_level': 1134, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 107215
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1134.2.g.m', 'target_level': 1134, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107216
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1134.2.g.m', 'target_level': 1134, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 107217
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2646.2.e.p', 'target_level': 2646, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107218
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2646.2.e.p', 'target_level': 2646, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 107219
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2646.2.f.l', 'target_level': 2646, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107220
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2646.2.f.l', 'target_level': 2646, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 107221
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2646.2.f.m', 'target_level': 2646, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 107222
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2646.2.f.m', 'target_level': 2646, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 107223
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2646.2.h.o', 'target_level': 2646, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 107224
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2646.2.h.o', 'target_level': 2646, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 107225
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3024.2.q.g', 'target_level': 3024, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 107226
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 17, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3024.2.q.g', 'target_level': 3024, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '252.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 107227
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3024.2.t.h', 'target_level': 3024, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107228
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 20, 'target_dim': 6, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3024.2.t.h', 'target_level': 3024, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 107229
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '7938.2.a.bv', 'target_level': 7938, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107230
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '7938.2.a.bw', 'target_level': 7938, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 107231
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '7938.2.a.bz', 'target_level': 7938, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 107232
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 6, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.e.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '7938.2.a.ca', 'target_level': 7938, 'twist_class_label': '126.2.e.c', 'twist_class_level': 126, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 348950
{'charpoly_factorization': [[[1, 1], 6]], 'hecke_orbit_code': 9007474166202494, 'p': 2}
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id: 348951
{'charpoly_factorization': [[[27, -18, -6, 9, -2, -2, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 3}
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id: 348952
{'charpoly_factorization': [[[9, 18, 33, 12, 7, -1, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 5}
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id: 348953
{'charpoly_factorization': [[[343, -98, -28, 31, -4, -2, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 7}
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id: 348954
{'charpoly_factorization': [[[9, -18, 33, -12, 7, 1, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 11}
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id: 348955
{'charpoly_factorization': [[[4761, 69, 553, -146, 63, -8, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 13}
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id: 348956
{'charpoly_factorization': [[[576, 288, 240, 0, 28, 4, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 17}
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id: 348957
{'charpoly_factorization': [[[2401, 1764, 1443, -10, 45, 3, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 19}
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id: 348958
{'charpoly_factorization': [[[9, 36, 123, 78, 37, 7, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 23}
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id: 348959
{'charpoly_factorization': [[[131769, 23958, 6171, 396, 91, 5, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 29}
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id: 348960
{'charpoly_factorization': [[[201, 121, 20, 1], 2]], 'hecke_orbit_code': 9007474166202494, 'p': 31}
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id: 348961
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 9007474166202494, 'p': 37}
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id: 348962
{'charpoly_factorization': [[[81, 297, 1089, 18, 33, 0, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 41}
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id: 348963
{'charpoly_factorization': [[[16129, 8763, 5523, -160, 105, 6, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 43}
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id: 348964
{'charpoly_factorization': [[[189, -54, -9, 1], 2]], 'hecke_orbit_code': 9007474166202494, 'p': 47}
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id: 348965
{'charpoly_factorization': [[[6561, -5346, 3141, -828, 159, -15, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 53}
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id: 348966
{'charpoly_factorization': [[[63, 39, -14, 1], 2]], 'hecke_orbit_code': 9007474166202494, 'p': 59}
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id: 348967
{'charpoly_factorization': [[[-93, -5, 8, 1], 2]], 'hecke_orbit_code': 9007474166202494, 'p': 61}
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id: 348968
{'charpoly_factorization': [[[-211, -112, 1, 1], 2]], 'hecke_orbit_code': 9007474166202494, 'p': 67}
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id: 348969
{'charpoly_factorization': [[[1593, -198, -7, 1], 2]], 'hecke_orbit_code': 9007474166202494, 'p': 71}
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id: 348970
{'charpoly_factorization': [[[398161, 5048, 12053, -1414, 353, -19, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 73}
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id: 348971
{'charpoly_factorization': [[[-321, -74, 5, 1], 2]], 'hecke_orbit_code': 9007474166202494, 'p': 79}
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id: 348972
{'charpoly_factorization': [[[21609, -9261, 4263, -168, 67, -2, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 83}
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id: 348973
{'charpoly_factorization': [[[81, -378, 1683, -396, 123, 9, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 89}
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id: 348974
{'charpoly_factorization': [[[61504, -52576, 38000, -5440, 572, -28, 1], 1]], 'hecke_orbit_code': 9007474166202494, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '126.2.e.c', 'level': 126, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 30426433
{'hecke_orbit_code': 9007474166202494, 'n': 1, 'trace_an': 6}
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id: 30426434
{'hecke_orbit_code': 9007474166202494, 'n': 2, 'trace_an': -6}
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id: 30426435
{'hecke_orbit_code': 9007474166202494, 'n': 3, 'trace_an': 2}
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id: 30426436
{'hecke_orbit_code': 9007474166202494, 'n': 4, 'trace_an': 6}
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id: 30426437
{'hecke_orbit_code': 9007474166202494, 'n': 5, 'trace_an': 1}
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id: 30426438
{'hecke_orbit_code': 9007474166202494, 'n': 6, 'trace_an': -2}
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id: 30426439
{'hecke_orbit_code': 9007474166202494, 'n': 7, 'trace_an': 2}
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id: 30426440
{'hecke_orbit_code': 9007474166202494, 'n': 8, 'trace_an': -6}
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id: 30426441
{'hecke_orbit_code': 9007474166202494, 'n': 9, 'trace_an': 8}
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id: 30426442
{'hecke_orbit_code': 9007474166202494, 'n': 10, 'trace_an': -1}
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id: 30426443
{'hecke_orbit_code': 9007474166202494, 'n': 11, 'trace_an': -1}
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id: 30426444
{'hecke_orbit_code': 9007474166202494, 'n': 12, 'trace_an': 2}
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