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{'Nk2': 28392, 'analytic_conductor': 56.67781535470482, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, 1], [13, 1]], 'atkin_lehner_string': '-+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7098, 1, [4733, 5071, 6931], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 57, 'field_disc_factorization': [[3, 1], [19, 1]], 'field_poly': [-14, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-14, -1, 1]], [11, [-12, 3, 1]], [17, [-2, 7, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892604346, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7098.2.a.bu', 'level': 7098, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.a.h', 'nf_label': '2.2.57.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+\\beta q^{5}-q^{6}-q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7098.2.a', 'trace_display': [2, -2, 1, -2], 'trace_hash': 1839788932913707472, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.338', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.067', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.648', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, 2, -2, 2, 1, -2, -2, 2, 2, 1, -3, -2, 0, -2, -1, 2, -7, 2, -3, 1, 2, -3, -3, -2, 19, 0, -2, -2, 9, -1, -16, 2, 3, -7, -1, 2, 1, -3, 0, 1, 2, 2, 3, -3, 1, -3, 0, -2, 2, 19, 7, 0, 20, -2, 27, -2, 3, 9, -16, -1, -17, -16, -2, 2, 0, 3, -10, -7, 3, -1, 0, 2, 3, 1, -19, -3, 3, 0, 10, 1, 2, 2, -6, 2, 25, 3, -9, -3, 28, 1, 0, -3, 16, 0, 27, -2, 0, 2, -3, 19, -10, 7, 13, 0, 1, 20, -14, -2, 7, 27, -1, -2, -12, 3, 27, 9, 0, -16, 7, -1, 11, -17, -2, -16, 33, -2, -26, 2, -3, 0, -9, 3, 3, -10, -1, -7, -3, 3, 8, -1, 0, 0, 0, 2, 33, 3, -2, 1, -30, -19, -5, -3, -7, 3, -8, 0, 11, 10, -20, 1, 3, 2, -10, 2, -27, -6, 11, 2, 0, 25, -3, 3, -16, -9, -19, -3, 16, 28, 24, 1, 8, 0, 17, -3, 29, 16, 39, 0, 2, 27, -3, -2, 22, 0, 0, 2, -10, -3, -9, 19, 10, -10, -9, 7, -56, 13, -3, 0, 33, 1, 25, 20, 0, -14, -27, -2, 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [7, -1], [13, -1]], 9, 4], [[[2, 1], [3, -1], [7, 1], [13, 1]], 10, 7], [[[2, 1], [3, 1], [7, 1], [13, 1]], 11, 4], [[[2, -1], [3, 1], [7, -1], [13, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [13, -1]], 12, 3], [[[2, 1], [3, -1], [7, -1], [13, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [13, -1]], 12, 5], [[[2, 1], [3, -1], [7, 1], [13, -1]], 9, 3], [[[2, 1], [3, -1], [7, -1], [13, 1]], 11, 4], [[[2, 1], [3, 1], [7, -1], [13, 1]], 10, 7], [[[2, -1], [3, -1], [7, -1], [13, 1]], 13, 7], [[[2, -1], [3, 1], [7, 1], [13, -1]], 6, 3], [[[2, -1], [3, -1], [7, 1], [13, 1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [13, -1]], 9, 3], [[[2, -1], [3, 1], [7, 1], [13, 1]], 13, 7]], 'ALdims': [11, 9, 10, 9, 10, 9, 11, 9, 13, 6, 7, 12, 7, 12, 13, 6], 'Nk2': 28392, 'analytic_conductor': 56.67781535470482, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7098, 1, [4733, 5071, 6931], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1401, 'dim': 154, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33561530, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6], 'label': '7098.2.a', 'level': 7098, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 1512, 'mf_new_dim': 154, 'num_forms': 73, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 154, 'sturm_bound': 2912, 'trace_bound': 17, 'trace_display': [-2, 0, -4, 0], 'traces': [154, -2, 0, 154, -4, 0, 0, -2, 154, -4, -8, 0, 0, 0, -8, 154, -4, -2, 0, -4, 2, 0, -16, 0, 134, 0, 0, 0, -12, 0, -16, -2, 0, -20, -8, 154, 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mf_twists_cc • Show schema
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id: 49011088
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892604346, 'source_is_minimal': False, 'source_label': '7098.2.a.bu.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892604346, 'target_is_minimal': False, 'target_label': '7098.2.a.bu.1.2', 'target_level': 7098, 'twist_class_label': '546.2.a.h.1.1', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49011089
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892604346, 'source_is_minimal': False, 'source_label': '7098.2.a.bu.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148450, 'target_is_minimal': True, 'target_label': '546.2.a.h.1.1', 'target_level': 546, 'twist_class_label': '546.2.a.h.1.1', 'twist_class_level': 546, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49011090
{'conductor': 39, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892604346, 'source_is_minimal': False, 'source_label': '7098.2.a.bu.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090447974, 'target_is_minimal': False, 'target_label': '1638.2.a.y.1.2', 'target_level': 1638, 'twist_class_label': '546.2.a.h.1.1', 'twist_class_level': 546, 'twisting_char_label': '39.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 49011091
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892604346, 'source_is_minimal': False, 'source_label': '7098.2.a.bu.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736785168, 'target_is_minimal': False, 'target_label': '4368.2.a.bh.1.1', 'target_level': 4368, 'twist_class_label': '546.2.a.h.1.1', 'twist_class_level': 546, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 49011092
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 207165582892604346, 'source_is_minimal': False, 'source_label': '7098.2.a.bu.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873637102, 'target_is_minimal': False, 'target_label': '3822.2.a.bm.1.2', 'target_level': 3822, 'twist_class_label': '546.2.a.h.1.1', 'twist_class_level': 546, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4365825
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 2}
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id: 4365826
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 3}
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id: 4365827
{'charpoly_factorization': [[[-14, -1, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 5}
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id: 4365828
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 7}
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id: 4365829
{'charpoly_factorization': [[[-12, 3, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 11}
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id: 4365830
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 13}
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id: 4365831
{'charpoly_factorization': [[[-2, 7, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 17}
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id: 4365832
{'charpoly_factorization': [[[-12, 3, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 19}
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id: 4365833
{'charpoly_factorization': [[[-12, 3, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 23}
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id: 4365834
{'charpoly_factorization': [[[6, -9, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 29}
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id: 4365835
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 31}
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id: 4365836
{'charpoly_factorization': [[[-14, -1, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 37}
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id: 4365837
{'charpoly_factorization': [[[-56, -2, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 41}
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id: 4365838
{'charpoly_factorization': [[[-12, -3, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 43}
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id: 4365839
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 47}
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id: 4365840
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 53}
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id: 4365841
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 59}
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id: 4365842
{'charpoly_factorization': [[[58, 17, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 61}
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id: 4365843
{'charpoly_factorization': [[[-32, 10, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 67}
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id: 4365844
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 71}
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id: 4365845
{'charpoly_factorization': [[[-126, -3, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 73}
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id: 4365846
{'charpoly_factorization': [[[-32, -10, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 79}
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id: 4365847
{'charpoly_factorization': [[[-48, 6, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 83}
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id: 4365848
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 207165582892604346, 'p': 89}
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id: 4365849
{'charpoly_factorization': [[[-228, 0, 1], 1]], 'hecke_orbit_code': 207165582892604346, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '7098.2.a.bu', 'level': 7098, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 276274000
{'hecke_orbit_code': 207165582892604346, 'n': 1, 'trace_an': 2}
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id: 276274001
{'hecke_orbit_code': 207165582892604346, 'n': 2, 'trace_an': 2}
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