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{'Nk2': 26100, 'analytic_conductor': 52.10238731888545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 1], [29, -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': [6525, 1, [1451, 4177, 901], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 601289408960900, 'field_disc_factorization': [[2, 2], [5, 2], [11, 1], [546626735419, 1]], 'field_poly': [-10, 40, 66, -73, -68, 48, 21, -12, -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': [[2, [-10, 40, 66, -73, -68, 48, 21, -12, -2, 1]], [7, [-25, 125, -50, -270, 89, 199, 3, -27, -1, 1]], [11, [-600, -5420, 8414, -1381, -2064, 635, 124, -48, -2, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538938237, 'hecke_ring_generator_nbound': 7, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6525.2.a.cd', 'level': 6525, '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, 29], 'level_radical': 435, 'minimal_twist': '6525.2.a.ca', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{4}q^{7}+(1+\\beta _{2}+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6525.2.a', 'trace_display': [2, 0, 0, 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2.7438668823087986, 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538938237, 'label': '6525.2.a.cd.1.9', 'level': 6525, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [21, 21, 23, 23, 33, 30, 32, 38], 'Nk2': 26100, 'analytic_conductor': 52.10238731888545, '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': [6525, 1, [1451, 4177, 901], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 877, 'dim': 221, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33560957, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9, 9, 9, 9, 12, 12], 'label': '6525.2.a', 'level': 6525, '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, 29], 'level_radical': 435, 'mf_dim': 924, 'mf_new_dim': 221, 'num_forms': 58, 'plus_dim': 106, 'prim_orbit_index': 1, 'relative_dim': 221, 'sturm_bound': 1800, 'trace_bound': 11, 'trace_display': [-1, 0, 0, -4], 'traces': [221, -1, 0, 223, 0, 0, -4, -9, 0, 0, -2, 0, -4, -24, 0, 227, -10, 0, -4, 0, 0, 6, 4, 0, 0, -8, 0, -24, 3, 0, -6, -9, 0, -2, 0, 0, -6, -8, 0, 0, -2, 0, 26, 10, 0, 20, -14, 0, 189, 0, 0, 28, 20, 0, 0, -48, 0, 1, -36, 0, 6, 10, 0, 223, 0, 0, 0, -46, 0, 0, -76, 0, 26, -2, 0, -44, -44, 0, -30, 0, 0, 22, -36, 0, 0, -90, 0, -26, -30, 0, -52, 20, 0, -74, 0, 0, -14, 23, 0, 0, 10, 0, -32, 8, 0, -36, -12, 0, 68, 0, 0, -48, 2, 0, 0, 9, 0, 4, 56, 0, 267, 50, 0, -190, 0, 0, -28, -145, 0, 0, 32, 0, 20, 48, 0, -26, 26, 0, 8, 0, 0, -64, 46, 0, 0, -74, 0, 34, -24, 0, -96, 44, 0, 20, 0, 0, 38, 26, 0, 0, -40, 0, 22, 78, 0, -84, 48, 0, 233, 0, 0, 86, 90, 0, 0, -58, 0, 74, -92, 0, 68, -52, 0, -40, 0, 0, 44, -38, 0, 0, 36, 0, -50, 106, 0, 279, -34, 0, 20, 0, 0, 110, -8, 0, 0, 172, 0, 80, -140, 0, 30, 56, 0, 84, 0, 0, -4, 8, 0, 0, 16, 0, -40, 36, 0, -94, -36, 0, -18, 0, 0, -3, 88, 0, 0, 12, 0, 76, 16, 0, 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0, -236, 0, 0, 38, 338, 0, 0, 34, 0, -204, 176, 0, -404, 38, 0, -384, 0, 0, 102, -580, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49074750
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 9, 'source_hecke_orbit_code': 247697979538938237, 'source_is_minimal': True, 'source_label': '6525.2.a.cd.1.9', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 9, 'target_hecke_orbit_code': 247697979538938237, 'target_is_minimal': True, 'target_label': '6525.2.a.cd.1.9', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.1', 'twist_class_level': 6525, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49074751
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 9, 'source_hecke_orbit_code': 247697979538938237, 'source_is_minimal': True, 'source_label': '6525.2.a.cd.1.9', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284197245, 'target_is_minimal': True, 'target_label': '6525.2.a.cb.1.1', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.1', 'twist_class_level': 6525, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49074752
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 9, 'source_hecke_orbit_code': 247697979538938237, 'source_is_minimal': True, 'source_label': '6525.2.a.cd.1.9', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 1, 'target_hecke_orbit_code': 234187180656826749, 'target_is_minimal': True, 'target_label': '6525.2.a.ca.1.1', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.1', 'twist_class_level': 6525, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49074753
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 9, 'source_hecke_orbit_code': 247697979538938237, 'source_is_minimal': True, 'source_label': '6525.2.a.cd.1.9', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 9, 'target_hecke_orbit_code': 243194379911567741, 'target_is_minimal': True, 'target_label': '6525.2.a.cc.1.9', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.1', 'twist_class_level': 6525, '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: 4213725
{'charpoly_factorization': [[[-10, 40, 66, -73, -68, 48, 21, -12, -2, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 2}
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id: 4213726
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 247697979538938237, 'p': 3}
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id: 4213727
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 247697979538938237, 'p': 5}
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id: 4213728
{'charpoly_factorization': [[[-25, 125, -50, -270, 89, 199, 3, -27, -1, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 7}
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id: 4213729
{'charpoly_factorization': [[[-600, -5420, 8414, -1381, -2064, 635, 124, -48, -2, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 11}
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id: 4213730
{'charpoly_factorization': [[[5885, 1705, -5774, -3036, 769, 617, -15, -43, -1, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 13}
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id: 4213731
{'charpoly_factorization': [[[-1070, 5360, -8978, 4989, 988, -1733, 436, 4, -12, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 17}
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id: 4213732
{'charpoly_factorization': [[[-164800, 153760, 17792, -35984, 112, 2920, -53, -95, 1, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 19}
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id: 4213733
{'charpoly_factorization': [[[640, -1600, -7104, 7648, 1208, -2620, 530, 34, -16, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 23}
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id: 4213734
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 247697979538938237, 'p': 29}
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id: 4213735
{'charpoly_factorization': [[[320, -18720, 23088, -3456, -4648, 1158, 295, -67, -5, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 31}
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id: 4213736
{'charpoly_factorization': [[[11520, 21120, -12352, -29760, 16, 5456, -28, -148, 0, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 37}
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id: 4213737
{'charpoly_factorization': [[[28800, -983040, -1103672, -60815, 76474, 7087, -1612, -161, 10, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 41}
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id: 4213738
{'charpoly_factorization': [[[1275840, 1522560, -541984, -356904, 18144, 17328, 167, -239, -3, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 43}
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id: 4213739
{'charpoly_factorization': [[[-4977120, 6377600, -2689512, 226635, 137832, -40097, 3394, 82, -26, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 47}
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id: 4213740
{'charpoly_factorization': [[[3780480, 7817920, 4026368, 249344, -202592, -12224, 4814, -110, -22, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 53}
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id: 4213741
{'charpoly_factorization': [[[-28656000, 3888000, 6659264, -1264160, -184696, 37168, 1618, -350, -4, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 59}
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id: 4213742
{'charpoly_factorization': [[[46656, 53568, -30384, -38784, -4648, 2844, 395, -83, -7, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 61}
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id: 4213743
{'charpoly_factorization': [[[2311495, 2799785, 360178, -307790, -42195, 13131, 1095, -235, -5, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 67}
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id: 4213744
{'charpoly_factorization': [[[73200000, 18488000, -4886720, -1374560, 98992, 34200, -550, -322, 0, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 71}
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id: 4213745
{'charpoly_factorization': [[[-29099520, -36449280, -12321792, 85184, 474080, 34368, -4136, -384, 10, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 73}
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id: 4213746
{'charpoly_factorization': [[[18312192, 17634816, 3328768, -903104, -206912, 24112, 3120, -308, -10, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 79}
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id: 4213747
{'charpoly_factorization': [[[1287680, 2421760, -1066368, -326592, 165408, -7360, -4432, 752, -46, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 83}
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id: 4213748
{'charpoly_factorization': [[[1503000, 2545100, -125178, -541895, -20558, 25437, 872, -316, -4, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 89}
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id: 4213749
{'charpoly_factorization': [[[88640, -248800, 89824, 50888, -31332, 2412, 1051, -143, -7, 1], 1]], 'hecke_orbit_code': 247697979538938237, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 56, 'label': '6525.2.a.cd', 'level': 6525, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71887033
{'hecke_orbit_code': 247697979538938237, 'n': 1, 'trace_an': 9}
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id: 71887034
{'hecke_orbit_code': 247697979538938237, 'n': 2, 'trace_an': 2}
-
id: 71887035
{'hecke_orbit_code': 247697979538938237, 'n': 3, 'trace_an': 0}
-
id: 71887036
{'hecke_orbit_code': 247697979538938237, 'n': 4, 'trace_an': 10}
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id: 71887037
{'hecke_orbit_code': 247697979538938237, 'n': 5, 'trace_an': 0}
-
id: 71887038
{'hecke_orbit_code': 247697979538938237, 'n': 6, 'trace_an': 0}
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id: 71887039
{'hecke_orbit_code': 247697979538938237, 'n': 7, 'trace_an': 1}
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id: 71887040
{'hecke_orbit_code': 247697979538938237, 'n': 8, 'trace_an': 9}
-
id: 71887041
{'hecke_orbit_code': 247697979538938237, 'n': 9, 'trace_an': 0}
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id: 71887042
{'hecke_orbit_code': 247697979538938237, 'n': 10, 'trace_an': 0}
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id: 71887043
{'hecke_orbit_code': 247697979538938237, 'n': 11, 'trace_an': 2}
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id: 71887044
{'hecke_orbit_code': 247697979538938237, 'n': 12, 'trace_an': 0}
-
id: 71887045
{'hecke_orbit_code': 247697979538938237, 'n': 13, 'trace_an': 1}
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id: 71887046
{'hecke_orbit_code': 247697979538938237, 'n': 14, 'trace_an': -3}
-
id: 71887047
{'hecke_orbit_code': 247697979538938237, 'n': 15, 'trace_an': 0}
-
id: 71887048
{'hecke_orbit_code': 247697979538938237, 'n': 16, 'trace_an': 4}
-
id: 71887049
{'hecke_orbit_code': 247697979538938237, 'n': 17, 'trace_an': 12}
-
id: 71887050
{'hecke_orbit_code': 247697979538938237, 'n': 18, 'trace_an': 0}
-
id: 71887051
{'hecke_orbit_code': 247697979538938237, 'n': 19, 'trace_an': -1}
-
id: 71887052
{'hecke_orbit_code': 247697979538938237, 'n': 20, 'trace_an': 0}
-
id: 71887053
{'hecke_orbit_code': 247697979538938237, 'n': 21, 'trace_an': 0}
-
id: 71887054
{'hecke_orbit_code': 247697979538938237, 'n': 22, 'trace_an': 3}
-
id: 71887055
{'hecke_orbit_code': 247697979538938237, 'n': 23, 'trace_an': 16}
-
id: 71887056
{'hecke_orbit_code': 247697979538938237, 'n': 24, 'trace_an': 0}
-
id: 71887057
{'hecke_orbit_code': 247697979538938237, 'n': 25, 'trace_an': 0}
-
id: 71887058
{'hecke_orbit_code': 247697979538938237, 'n': 26, 'trace_an': 6}
-
id: 71887059
{'hecke_orbit_code': 247697979538938237, 'n': 27, 'trace_an': 0}
-
id: 71887060
{'hecke_orbit_code': 247697979538938237, 'n': 28, 'trace_an': -4}
-
id: 71887061
{'hecke_orbit_code': 247697979538938237, 'n': 29, 'trace_an': 9}
-
id: 71887062
{'hecke_orbit_code': 247697979538938237, 'n': 30, 'trace_an': 0}
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id: 71887063
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