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{'Nk2': 24108, 'analytic_conductor': 48.12583729822569, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, 1], [41, 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': [6027, 1, [4019, 493, 2794], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 7457527933, 'field_disc_factorization': [[37, 1], [14197, 2]], 'field_poly': [1, 8, 8, -27, -4, 23, -6, -3, 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': [[2, [113, 44, -148, -39, 70, 11, -14, -1, 1]], [5, [-967, -206, 1153, 589, -169, -141, -8, 7, 1]], [13, [49, -44, -10, 5, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972563851, 'hecke_ring_generator_nbound': 2, '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': '6027.2.a.bb', 'level': 6027, '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': [3, 7, 41], 'level_radical': 861, 'minimal_twist': '861.2.i.d', 'nf_label': '8.8.7457527933.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1}-\\beta _{2})q^{2}-q^{3}+(2+\\beta _{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6027.2.a', 'trace_display': [1, -8, -7, 0], 'trace_hash': 2052225765815844222, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.221', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '147.882', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4932.270', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [8, 1, -8, 13, -7, -1, 0, 6, 8, -8, 11, -13, -10, 0, 7, -17, -3, 1, -6, -11, 0, 15, 14, -6, 25, -24, -8, 0, 2, 8, -16, 3, -11, 4, 0, 13, -20, -10, 10, 3, -8, 0, 7, 0, -7, -5, -14, 17, 0, -5, 3, -23, 7, -1, -48, 0, 6, -20, -22, 11, 0, 33, 0, -10, -14, -15, 12, 27, -14, 0, -5, 6, -2, 6, -25, -43, 0, 24, -15, 7, 8, -1, -15, 0, -43, 31, -2, 17, -29, -8, 0, 19, 16, -20, 14, -3, -19, 0, 11, 15, -41, -4, -9, -37, 0, -18, -3, -13, -7, -60, 20, 0, -5, 10, -4, -19, -10, -23, 0, -3, -9, -50, 8, -7, -18, 0, -45, 14, -7, 74, 28, 0, 0, -35, 7, 15, 16, 5, 2, 0, 14, -32, -23, -17, 61, 41, 0, -93, -9, 5, -20, -67, -3, 0, 39, 23, -25, 27, -7, -16, 0, 1, 43, 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121597189972563851, 'label': '6027.2.a.bb.1.5', 'level': 6027, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [30, 38, 37, 31, 37, 29, 33, 39], 'Nk2': 24108, 'analytic_conductor': 48.12583729822569, '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': [6027, 1, [4019, 493, 2794], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 769, 'dim': 274, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33560459, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5, 5, 5, 7, 8, 8, 8, 8, 10, 10, 12, 12, 13, 13, 14, 14, 16, 16, 24, 24], 'label': '6027.2.a', 'level': 6027, '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': [3, 7, 41], 'level_radical': 861, 'mf_dim': 800, 'mf_new_dim': 274, 'num_forms': 41, 'plus_dim': 123, 'prim_orbit_index': 1, 'relative_dim': 274, 'sturm_bound': 1568, 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mf_twists_cc • Show schema
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id: 48643785
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 121597189972563851, 'source_is_minimal': False, 'source_label': '6027.2.a.bb.1.5', 'source_level': 6027, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 121597189972563851, 'target_is_minimal': False, 'target_label': '6027.2.a.bb.1.5', 'target_level': 6027, 'twist_class_label': '861.2.i.d.247.4', 'twist_class_level': 861, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48643786
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 121597189972563851, 'source_is_minimal': False, 'source_label': '6027.2.a.bb.1.5', 'source_level': 6027, 'target_conrey_index': 739, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671480669, 'target_is_minimal': True, 'target_label': '861.2.i.d.739.4', 'target_level': 861, 'twist_class_label': '861.2.i.d.247.4', 'twist_class_level': 861, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48643787
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 121597189972563851, 'source_is_minimal': False, 'source_label': '6027.2.a.bb.1.5', 'source_level': 6027, 'target_conrey_index': 247, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511348671480669, 'target_is_minimal': True, 'target_label': '861.2.i.d.247.4', 'target_level': 861, 'twist_class_label': '861.2.i.d.247.4', 'twist_class_level': 861, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48643788
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 5, 'source_hecke_orbit_code': 121597189972563851, 'source_is_minimal': False, 'source_label': '6027.2.a.bb.1.5', 'source_level': 6027, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 126100789599934347, 'target_is_minimal': False, 'target_label': '6027.2.a.bc.1.5', 'target_level': 6027, 'twist_class_label': '861.2.i.d.247.4', 'twist_class_level': 861, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4067750
{'charpoly_factorization': [[[113, 44, -148, -39, 70, 11, -14, -1, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 2}
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id: 4067751
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 121597189972563851, 'p': 3}
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id: 4067752
{'charpoly_factorization': [[[-967, -206, 1153, 589, -169, -141, -8, 7, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 5}
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id: 4067753
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 121597189972563851, 'p': 7}
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id: 4067754
{'charpoly_factorization': [[[263, -1481, 1536, -56, -447, 125, 21, -11, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 11}
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id: 4067755
{'charpoly_factorization': [[[49, -44, -10, 5, 1], 2]], 'hecke_orbit_code': 121597189972563851, 'p': 13}
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id: 4067756
{'charpoly_factorization': [[[-433, -391, 953, 1402, 432, -108, -48, 3, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 17}
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id: 4067757
{'charpoly_factorization': [[[4291, 4786, -18224, 4777, 2050, -409, -85, 6, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 19}
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id: 4067758
{'charpoly_factorization': [[[-13693, -10370, 22999, -5771, -1579, 594, 4, -14, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 23}
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id: 4067759
{'charpoly_factorization': [[[78769, -4153, -50907, -2033, 5265, 253, -146, -2, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 29}
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id: 4067760
{'charpoly_factorization': [[[-1933, -5308, 3007, 4641, -676, -523, 18, 16, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 31}
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id: 4067761
{'charpoly_factorization': [[[-22981, 27025, 23898, -13035, -10073, -1553, 29, 20, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 37}
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id: 4067762
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 121597189972563851, 'p': 41}
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id: 4067763
{'charpoly_factorization': [[[316351, -18757, -108180, 1081, 9470, 568, -168, -7, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 43}
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id: 4067764
{'charpoly_factorization': [[[-1591, -8653, -4992, 10947, -77, -818, -32, 14, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 47}
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id: 4067765
{'charpoly_factorization': [[[-150589, -185708, -68941, -565, 4147, 370, -95, -7, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 53}
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id: 4067766
{'charpoly_factorization': [[[-460973, -423587, 365514, 71163, -13811, -3099, -21, 22, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 59}
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id: 4067767
{'charpoly_factorization': [[[77443, -30381, -81362, 5919, 11061, 219, -253, 0, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 61}
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id: 4067768
{'charpoly_factorization': [[[-5340679, 2178126, 93857, -120217, 5600, 2115, -154, -12, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 67}
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id: 4067769
{'charpoly_factorization': [[[13689, -2457, -10116, 1356, 2008, -237, -98, 5, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 71}
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id: 4067770
{'charpoly_factorization': [[[-144257, 151089, 305367, 130072, 14839, -1263, -257, 2, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 73}
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id: 4067771
{'charpoly_factorization': [[[-685351, -268056, 78499, 37335, -1223, -1474, -65, 15, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 79}
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id: 4067772
{'charpoly_factorization': [[[-63343, -41480, 19075, 13091, -1209, -1124, -43, 15, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 83}
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id: 4067773
{'charpoly_factorization': [[[1006021, 1895244, 968863, 33076, -42295, -5365, 33, 29, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 89}
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id: 4067774
{'charpoly_factorization': [[[-250733, -575974, 81645, 57899, -2851, -1913, -30, 19, 1], 1]], 'hecke_orbit_code': 121597189972563851, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '6027.2.a.bb', 'level': 6027, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 262106000
{'hecke_orbit_code': 121597189972563851, 'n': 1, 'trace_an': 8}
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id: 262106001
{'hecke_orbit_code': 121597189972563851, 'n': 2, 'trace_an': 1}
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id: 262106002
{'hecke_orbit_code': 121597189972563851, 'n': 3, 'trace_an': -8}
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id: 262106003
{'hecke_orbit_code': 121597189972563851, 'n': 4, 'trace_an': 13}
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id: 262106004
{'hecke_orbit_code': 121597189972563851, 'n': 5, 'trace_an': -7}
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id: 262106005
{'hecke_orbit_code': 121597189972563851, 'n': 6, 'trace_an': -1}
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id: 262106006
{'hecke_orbit_code': 121597189972563851, 'n': 7, 'trace_an': 0}
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id: 262106007
{'hecke_orbit_code': 121597189972563851, 'n': 8, 'trace_an': 6}
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