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{'Nk2': 27900, 'analytic_conductor': 55.69565540984307, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [31, 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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 116450197504, 'field_disc_factorization': [[2, 16], [31, 2], [43, 2]], 'field_poly': [1, 0, -62, 0, 58, 0, -14, 0, 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': 1, 'hecke_cutters': [[2, [100, 0, -172, 0, 85, 0, -16, 0, 1]], [7, [40, -16, -14, 2, 1]], [11, [12100, 0, -5308, 0, 813, 0, -50, 0, 1]], [13, [-40, -64, -22, 4, 1]], [17, [7225, 0, -3578, 0, 610, 0, -42, 0, 1]], [29, [87025, 0, -34082, 0, 3082, 0, -98, 0, 1]]], 'hecke_orbit': 58, 'hecke_orbit_code': 256705178793679679, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 10, 'hecke_ring_index_factorization': [[2, 1], [5, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], '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': True, 'label': '6975.2.a.cf', 'level': 6975, '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, 5, 31], 'level_radical': 465, 'minimal_twist': '6975.2.a.cf', 'nf_label': '8.8.116450197504.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{5}q^{2}+(2+\\beta _{1})q^{4}+(-1-\\beta _{1}-\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': 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mf_hecke_cc • Show schema
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-0.378084373480793, -0.2914649939240163, -0.368678105028971, -0.1602083295802543, -0.3961248605608423, -0.12220555581757724, -0.14360613469374606, -0.33653877588312764, -0.2652012215222054, -0.13438785031229708, -0.239289665564339, -0.27677506135518726, -0.19543658532671462, -0.09445854040670845, -0.29597681203136994, -0.18348645438707184], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.618613035440982, 'hecke_orbit': 58, 'hecke_orbit_code': 256705178793679679, 'label': '6975.2.a.cf.1.1', 'level': 6975, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [20, 26, 30, 18, 35, 32, 35, 41], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [89, 100, 90, 96, 91, 76, 79, 79], 'Nk2': 27900, 'analytic_conductor': 55.69565540984307, '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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 237, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 13, 17, 29], 'hecke_orbit_code': 33561407, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 8, 8, 8, 10, 11, 11, 16], 'label': '6975.2.a', 'level': 6975, '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, 5, 31], 'level_radical': 465, 'mf_dim': 984, 'mf_new_dim': 237, 'num_forms': 63, 'plus_dim': 105, 'prim_orbit_index': 1, 'relative_dim': 237, 'sturm_bound': 1920, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [237, 0, 0, 238, 0, 0, 0, -3, 0, 0, 0, 0, 0, -7, 0, 248, -8, 0, 4, 0, 0, 6, 6, 0, 0, 36, 0, 9, 32, 0, -3, -6, 0, 16, 0, 0, -2, -7, 0, 0, 0, 0, 30, 42, 0, 26, -28, 0, 211, 0, 0, 6, 6, 0, 0, 6, 0, 10, -28, 0, 12, -4, 0, 317, 0, 0, 48, 18, 0, 0, 36, 0, 14, -20, 0, 9, 24, 0, -18, 0, 0, 11, -12, 0, 0, 20, 0, 28, 20, 0, -14, 8, 0, -40, 0, 0, -4, 7, 0, 0, 48, 0, 0, 68, 0, 62, 52, 0, 20, 0, 0, 21, -44, 0, 0, 88, 0, -5, 10, 0, 273, -36, 0, -6, 0, 0, 8, -40, 0, 0, 72, 0, -2, -24, 0, 20, 8, 0, 60, 0, 0, -49, -20, 0, 0, -60, 0, 108, 138, 0, -42, -30, 0, 82, 0, 0, -32, 100, 0, 0, -42, 0, 20, 29, 0, -54, 112, 0, 255, 0, 0, 46, -14, 0, 0, 102, 0, 42, -6, 0, 36, -78, 0, 42, 0, 0, -24, -4, 0, 0, 104, 0, 64, 33, 0, 303, -42, 0, 16, 0, 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-677, 0, -8, -252, 0, 148, 0, 0, 530, 52, 0, 0, 110, 0, 33, -2, 0, 237, -88, 0, -304, 0, 0, -44, -407, 0, 0, 172, 0, 112, -150, 0, -668, -8, 0, -72, 0, 0, -132, 112, 0, 0, -436, 0, 112, 196, 0, -42, -14, 0, -527, 0, 0, 248, -202, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49085466
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679679, 'source_is_minimal': True, 'source_label': '6975.2.a.cf.1.1', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 256705178793679679, 'target_is_minimal': True, 'target_label': '6975.2.a.cf.1.1', 'target_level': 6975, 'twist_class_label': '6975.2.a.cf.1.1', 'twist_class_level': 6975, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49085467
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679679, 'source_is_minimal': True, 'source_label': '6975.2.a.cf.1.1', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 256705178793679679, 'target_is_minimal': True, 'target_label': '6975.2.a.cf.1.8', 'target_level': 6975, 'twist_class_label': '6975.2.a.cf.1.1', 'twist_class_level': 6975, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49085468
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679679, 'source_is_minimal': True, 'source_label': '6975.2.a.cf.1.1', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 261208778421050175, 'target_is_minimal': True, 'target_label': '6975.2.a.cg.1.8', 'target_level': 6975, 'twist_class_label': '6975.2.a.cf.1.1', 'twist_class_level': 6975, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49085469
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 256705178793679679, 'source_is_minimal': True, 'source_label': '6975.2.a.cf.1.1', 'source_level': 6975, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 261208778421050175, 'target_is_minimal': True, 'target_label': '6975.2.a.cg.1.1', 'target_level': 6975, 'twist_class_label': '6975.2.a.cf.1.1', 'twist_class_level': 6975, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4342900
{'charpoly_factorization': [[[100, 0, -172, 0, 85, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 2}
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id: 4342901
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 256705178793679679, 'p': 3}
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id: 4342902
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 256705178793679679, 'p': 5}
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id: 4342903
{'charpoly_factorization': [[[40, -16, -14, 2, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 7}
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id: 4342904
{'charpoly_factorization': [[[12100, 0, -5308, 0, 813, 0, -50, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 11}
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id: 4342905
{'charpoly_factorization': [[[-40, -64, -22, 4, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 13}
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id: 4342906
{'charpoly_factorization': [[[7225, 0, -3578, 0, 610, 0, -42, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 17}
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id: 4342907
{'charpoly_factorization': [[[206, -38, -45, 0, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 19}
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id: 4342908
{'charpoly_factorization': [[[270400, 0, -57488, 0, 4033, 0, -110, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 23}
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id: 4342909
{'charpoly_factorization': [[[87025, 0, -34082, 0, 3082, 0, -98, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 29}
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id: 4342910
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 256705178793679679, 'p': 31}
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id: 4342911
{'charpoly_factorization': [[[-340, -212, -24, 6, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 37}
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id: 4342912
{'charpoly_factorization': [[[10000, 0, -9248, 0, 1432, 0, -72, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 41}
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id: 4342913
{'charpoly_factorization': [[[1180, 924, 241, 26, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 43}
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id: 4342914
{'charpoly_factorization': [[[462400, 0, -102288, 0, 7001, 0, -156, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 47}
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id: 4342915
{'charpoly_factorization': [[[16900, 0, -39892, 0, 12141, 0, -218, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 53}
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id: 4342916
{'charpoly_factorization': [[[-50, 0, 1], 4]], 'hecke_orbit_code': 256705178793679679, 'p': 59}
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id: 4342917
{'charpoly_factorization': [[[-8048, -2688, -146, 14, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 61}
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id: 4342918
{'charpoly_factorization': [[[-810, -594, -45, 12, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 67}
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id: 4342919
{'charpoly_factorization': [[[4000000, 0, -467488, 0, 18529, 0, -276, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 71}
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id: 4342920
{'charpoly_factorization': [[[640, 768, 244, 28, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 73}
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id: 4342921
{'charpoly_factorization': [[[-2, 32, -53, 2, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 79}
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id: 4342922
{'charpoly_factorization': [[[150798400, 0, -10646032, 0, 154417, 0, -702, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 83}
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id: 4342923
{'charpoly_factorization': [[[133225, 0, -1072522, 0, 32082, 0, -314, 0, 1], 1]], 'hecke_orbit_code': 256705178793679679, 'p': 89}
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id: 4342924
{'charpoly_factorization': [[[-37895, -7178, -206, 22, 1], 2]], 'hecke_orbit_code': 256705178793679679, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 58, 'label': '6975.2.a.cf', 'level': 6975, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71983783
{'hecke_orbit_code': 256705178793679679, 'n': 1, 'trace_an': 8}
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id: 71983784
{'hecke_orbit_code': 256705178793679679, 'n': 2, 'trace_an': 0}
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id: 71983785
{'hecke_orbit_code': 256705178793679679, 'n': 3, 'trace_an': 0}
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id: 71983786
{'hecke_orbit_code': 256705178793679679, 'n': 4, 'trace_an': 16}
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id: 71983787
{'hecke_orbit_code': 256705178793679679, 'n': 5, 'trace_an': 0}
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id: 71983788
{'hecke_orbit_code': 256705178793679679, 'n': 6, 'trace_an': 0}
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id: 71983789
{'hecke_orbit_code': 256705178793679679, 'n': 7, 'trace_an': -4}
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id: 71983790
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