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{'Nk2': 27048, 'analytic_conductor': 53.9948418467898, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [23, -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': [6762, 1, [2255, 3727, 3823], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 42048, 'field_disc_factorization': [[2, 6], [3, 2], [73, 1]], 'field_poly': [34, 8, -13, -2, 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, [-7, -2, 1]], [11, [-188, 156, -19, -6, 1]], [13, [-2, -36, -1, 6, 1]], [17, [-146, 68, 15, -10, 1]]], 'hecke_orbit': 65, 'hecke_orbit_code': 288230376185272938, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6762.2.a.cm', 'level': 6762, '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, 23], 'level_radical': 966, 'minimal_twist': '966.2.i.l', 'nf_label': '4.4.42048.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}+(1-\\beta _{2})q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6762.2.a', 'trace_display': [4, -4, 4, 0], 'trace_hash': 893187576372646998, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.135', 'prec': 17}, {'__RealLiteral__': 0, 'data': '42.745', 'prec': 20}, {'__RealLiteral__': 0, 'data': '28.541', 'prec': 20}, {'__RealLiteral__': 0, 'data': '677.325', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [4, 4, -4, 4, 4, -4, 0, 4, 4, 4, 6, -4, -6, 0, -4, 4, 10, 4, 4, 4, 0, 6, 4, -4, 16, -6, -4, 0, 6, -4, -2, 4, -6, 10, 0, 4, 0, 4, 6, 4, -4, 0, 20, 6, 4, 4, -10, -4, 0, 16, -10, -6, 0, -4, -10, 0, -4, 6, -6, -4, 0, -2, 0, 4, -14, -6, 18, 10, -4, 0, 42, 4, -6, 0, -16, 4, 0, 6, -6, 4, 4, -4, 10, 0, 34, 20, -6, 6, 0, 4, 0, 4, 2, -10, -20, -4, 10, 0, 6, 16, -12, -10, 6, -6, 0, 0, -6, -4, 28, -10, 0, 0, 26, -4, 4, 6, -6, -6, 0, -4, 30, 0, 4, -2, 60, 0, 38, 4, -20, -14, -16, -6, 0, 18, -4, 10, 6, -4, 8, 0, 10, 42, -20, 4, -2, -6, 0, 0, -2, -16, 2, 4, 10, 0, 30, 6, 0, -6, 0, 4, 0, 4, -16, -4, 10, 10, 10, 0, -14, 34, 4, 20, 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-0.22991018331831178, -0.15236399410449086, -0.1782243949702207, -0.1249683206711967, -0.14769658611973246, -0.05907854047701185, -0.448823153185216, -0.25459667118492313, -0.10165960201114599, -0.1906553981398451, -0.1692462718505784, -0.11984921359703121, -0.31319350199856727, -0.33648506889124025, -0.2189581053111663, -0.10797285275053459, -0.2786451813380111, -0.20277361071582092, -0.41026985218116097, -0.31921803477010385, -0.3067120166121196, -0.21231223836334545, -0.1535872125979252, -0.27594123597003994, -0.37634522432710155], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': 1.9443298682271315, 'hecke_orbit': 65, 'hecke_orbit_code': 288230376185272938, 'label': '6762.2.a.cm.1.4', 'level': 6762, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 8, 7, 10, 11, 7, 8, 11, 9, 9, 9, 12, 6, 14, 13, 4], 'Nk2': 27048, 'analytic_conductor': 53.9948418467898, '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': [6762, 1, [2255, 3727, 3823], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1313, 'dim': 150, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33561194, '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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '6762.2.a', 'level': 6762, '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, 23], 'level_radical': 966, 'mf_dim': 1376, 'mf_new_dim': 150, 'num_forms': 74, 'plus_dim': 65, 'prim_orbit_index': 1, 'relative_dim': 150, 'sturm_bound': 2688, 'trace_bound': 17, 'trace_display': [2, -2, 4, 0], 'traces': [150, 2, -2, 150, 4, -2, 0, 2, 150, 0, 0, -2, -4, 0, -4, 150, -4, 2, -12, 4, 0, -12, 0, -2, 146, 12, -2, 0, -4, 0, -16, 2, 4, 12, 0, 150, 32, -8, 36, 0, -12, 0, 60, 0, 4, 4, -24, -2, 0, 86, 8, -4, 76, -2, 16, 0, 60, 68, 8, -4, 24, 8, 0, 150, 40, 0, 20, -4, -4, 0, -40, 2, 12, 52, 2, -12, 0, -4, 0, 4, 150, -4, 24, 0, 72, -16, 12, -12, -4, 0, 0, 0, 32, 8, -24, -2, -12, 0, 0, 146, 28, 8, -16, 12, 0, -24, -88, -2, 32, -8, -12, 0, 92, -8, -4, -4, -4, -40, 0, 0, 118, -4, -4, -16, 96, 0, 40, 2, -20, 48, 24, 4, 0, -48, -4, 12, -20, -4, 24, 0, 8, 8, 0, 150, 16, 44, 0, 32, 60, -6, -8, -8, -4, 0, -40, 36, 32, -56, 28, 0, 0, 2, 0, -12, -8, 20, 24, 0, 218, 72, -12, 60, 28, 4, 0, 0, -16, 36, -24, 4, 32, 0, 4, 4, 128, -16, 16, -24, 0, 8, 32, -2, 132, 20, 24, 0, 76, -12, 24, 86, -28, 60, 0, 8, 80, 24, 0, -4, 24, 0, 48, 76, 40, 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-32, 0, 8, 88, 0, 256, 20, -96, 0, 120, -64, -16, 68, -12, 88, 0, -52, -16, 124, 0, 12, 124, 0, 292, -24, -100, -72, 24, 8, 0, -216, -184, -20, 456, -64, 44, 0, -292, -24, 64, -96, 96, 160, 0, -4, 622, 120, -88, 52, 184, 0, 8, 18, -16, 168, 144, -2, 0, -160, 284, 24, -116, -40, -144, 0, 32, -40, -96, 12, 80, 120, 0, -56, 16, -8, 200, 8, -96, 0, -304, -28, 100, 120, -12, 72], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49114298
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 288230376185272938, 'source_is_minimal': False, 'source_label': '6762.2.a.cm.1.4', 'source_level': 6762, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 288230376185272938, 'target_is_minimal': False, 'target_label': '6762.2.a.cm.1.4', 'target_level': 6762, 'twist_class_label': '966.2.i.l.277.3', 'twist_class_level': 966, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49114299
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 288230376185272938, 'source_is_minimal': False, 'source_label': '6762.2.a.cm.1.4', 'source_level': 6762, 'target_conrey_index': 415, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49540145690444742, 'target_is_minimal': True, 'target_label': '966.2.i.l.415.3', 'target_level': 966, 'twist_class_label': '966.2.i.l.277.3', 'twist_class_level': 966, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49114300
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 288230376185272938, 'source_is_minimal': False, 'source_label': '6762.2.a.cm.1.4', 'source_level': 6762, 'target_conrey_index': 277, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 49540145690444742, 'target_is_minimal': True, 'target_label': '966.2.i.l.277.3', 'target_level': 966, 'twist_class_label': '966.2.i.l.277.3', 'twist_class_level': 966, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49114301
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 288230376185272938, 'source_is_minimal': False, 'source_label': '6762.2.a.cm.1.4', 'source_level': 6762, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 301741175067384426, 'target_is_minimal': False, 'target_label': '6762.2.a.cp.1.2', 'target_level': 6762, 'twist_class_label': '966.2.i.l.277.3', 'twist_class_level': 966, '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: 4279900
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 288230376185272938, 'p': 2}
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id: 4279901
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 288230376185272938, 'p': 3}
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id: 4279902
{'charpoly_factorization': [[[-7, -2, 1], 2]], 'hecke_orbit_code': 288230376185272938, 'p': 5}
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id: 4279903
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 288230376185272938, 'p': 7}
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id: 4279904
{'charpoly_factorization': [[[-188, 156, -19, -6, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 11}
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id: 4279905
{'charpoly_factorization': [[[-2, -36, -1, 6, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 13}
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id: 4279906
{'charpoly_factorization': [[[-146, 68, 15, -10, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 17}
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id: 4279907
{'charpoly_factorization': [[[64, 32, -30, -4, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 19}
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id: 4279908
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 288230376185272938, 'p': 23}
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id: 4279909
{'charpoly_factorization': [[[16, 24, -1, -6, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 29}
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id: 4279910
{'charpoly_factorization': [[[-188, 220, -67, 2, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 31}
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id: 4279911
{'charpoly_factorization': [[[136, 72, -58, 0, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 37}
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id: 4279912
{'charpoly_factorization': [[[64, -32, -30, 4, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 41}
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id: 4279913
{'charpoly_factorization': [[[-5696, 1376, 20, -20, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 43}
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id: 4279914
{'charpoly_factorization': [[[1348, -500, -75, 10, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 47}
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id: 4279915
{'charpoly_factorization': [[[553, 48, -58, 0, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 53}
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id: 4279916
{'charpoly_factorization': [[[112, -216, -49, 6, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 59}
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id: 4279917
{'charpoly_factorization': [[[8848, -384, -232, 0, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 61}
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id: 4279918
{'charpoly_factorization': [[[-11196, 2988, -99, -18, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 67}
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id: 4279919
{'charpoly_factorization': [[[10654, -4332, 647, -42, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 71}
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id: 4279920
{'charpoly_factorization': [[[-32, 96, -55, 6, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 73}
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id: 4279921
{'charpoly_factorization': [[[16, -24, -1, 6, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 79}
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id: 4279922
{'charpoly_factorization': [[[1252, 220, -91, -10, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 83}
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id: 4279923
{'charpoly_factorization': [[[-632, -504, -106, 0, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 89}
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id: 4279924
{'charpoly_factorization': [[[64, 208, -25, -10, 1], 1]], 'hecke_orbit_code': 288230376185272938, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 65, 'label': '6762.2.a.cm', 'level': 6762, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72220885
{'hecke_orbit_code': 288230376185272938, 'n': 1, 'trace_an': 4}
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id: 72220886
{'hecke_orbit_code': 288230376185272938, 'n': 2, 'trace_an': 4}
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id: 72220887
{'hecke_orbit_code': 288230376185272938, 'n': 3, 'trace_an': -4}
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id: 72220888
{'hecke_orbit_code': 288230376185272938, 'n': 4, 'trace_an': 4}
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id: 72220889
{'hecke_orbit_code': 288230376185272938, 'n': 5, 'trace_an': 4}
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id: 72220890
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