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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': 55, 'hecke_orbit_code': 243194379911567741, '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': False, '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.cc', '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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'6525.2.a.cc.1.1', '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: 49069274
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 1, 'source_hecke_orbit_code': 243194379911567741, 'source_is_minimal': True, 'source_label': '6525.2.a.cc.1.1', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 1, 'target_hecke_orbit_code': 243194379911567741, 'target_is_minimal': True, 'target_label': '6525.2.a.cc.1.1', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.9', 'twist_class_level': 6525, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49069275
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 1, 'source_hecke_orbit_code': 243194379911567741, 'source_is_minimal': True, 'source_label': '6525.2.a.cc.1.1', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 9, 'target_hecke_orbit_code': 234187180656826749, 'target_is_minimal': True, 'target_label': '6525.2.a.ca.1.9', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.9', 'twist_class_level': 6525, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49069276
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 1, 'source_hecke_orbit_code': 243194379911567741, 'source_is_minimal': True, 'source_label': '6525.2.a.cc.1.1', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 9, 'target_hecke_orbit_code': 238690780284197245, 'target_is_minimal': True, 'target_label': '6525.2.a.cb.1.9', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.9', 'twist_class_level': 6525, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49069277
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 1, 'source_hecke_orbit_code': 243194379911567741, 'source_is_minimal': True, 'source_label': '6525.2.a.cc.1.1', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 1, 'target_hecke_orbit_code': 247697979538938237, 'target_is_minimal': True, 'target_label': '6525.2.a.cd.1.1', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.9', '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: 4213700
{'charpoly_factorization': [[[-10, 40, 66, -73, -68, 48, 21, -12, -2, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 2}
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id: 4213701
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 243194379911567741, 'p': 3}
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id: 4213702
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 243194379911567741, 'p': 5}
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id: 4213703
{'charpoly_factorization': [[[25, 125, 50, -270, -89, 199, -3, -27, 1, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 7}
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id: 4213704
{'charpoly_factorization': [[[600, -5420, -8414, -1381, 2064, 635, -124, -48, 2, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 11}
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id: 4213705
{'charpoly_factorization': [[[-5885, 1705, 5774, -3036, -769, 617, 15, -43, 1, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 13}
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id: 4213706
{'charpoly_factorization': [[[-1070, 5360, -8978, 4989, 988, -1733, 436, 4, -12, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 17}
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id: 4213707
{'charpoly_factorization': [[[-164800, 153760, 17792, -35984, 112, 2920, -53, -95, 1, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 19}
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id: 4213708
{'charpoly_factorization': [[[640, -1600, -7104, 7648, 1208, -2620, 530, 34, -16, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 23}
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id: 4213709
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 243194379911567741, 'p': 29}
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id: 4213710
{'charpoly_factorization': [[[320, -18720, 23088, -3456, -4648, 1158, 295, -67, -5, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 31}
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id: 4213711
{'charpoly_factorization': [[[-11520, 21120, 12352, -29760, -16, 5456, 28, -148, 0, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 37}
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id: 4213712
{'charpoly_factorization': [[[-28800, -983040, 1103672, -60815, -76474, 7087, 1612, -161, -10, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 41}
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id: 4213713
{'charpoly_factorization': [[[-1275840, 1522560, 541984, -356904, -18144, 17328, -167, -239, 3, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 43}
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id: 4213714
{'charpoly_factorization': [[[-4977120, 6377600, -2689512, 226635, 137832, -40097, 3394, 82, -26, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 47}
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id: 4213715
{'charpoly_factorization': [[[3780480, 7817920, 4026368, 249344, -202592, -12224, 4814, -110, -22, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 53}
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id: 4213716
{'charpoly_factorization': [[[28656000, 3888000, -6659264, -1264160, 184696, 37168, -1618, -350, 4, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 59}
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id: 4213717
{'charpoly_factorization': [[[46656, 53568, -30384, -38784, -4648, 2844, 395, -83, -7, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 61}
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id: 4213718
{'charpoly_factorization': [[[-2311495, 2799785, -360178, -307790, 42195, 13131, -1095, -235, 5, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 67}
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id: 4213719
{'charpoly_factorization': [[[-73200000, 18488000, 4886720, -1374560, -98992, 34200, 550, -322, 0, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 71}
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id: 4213720
{'charpoly_factorization': [[[29099520, -36449280, 12321792, 85184, -474080, 34368, 4136, -384, -10, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 73}
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id: 4213721
{'charpoly_factorization': [[[18312192, 17634816, 3328768, -903104, -206912, 24112, 3120, -308, -10, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 79}
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id: 4213722
{'charpoly_factorization': [[[1287680, 2421760, -1066368, -326592, 165408, -7360, -4432, 752, -46, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 83}
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id: 4213723
{'charpoly_factorization': [[[-1503000, 2545100, 125178, -541895, 20558, 25437, -872, -316, 4, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 89}
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id: 4213724
{'charpoly_factorization': [[[-88640, -248800, -89824, 50888, 31332, 2412, -1051, -143, 7, 1], 1]], 'hecke_orbit_code': 243194379911567741, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 55, 'label': '6525.2.a.cc', '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: 71835949
{'hecke_orbit_code': 243194379911567741, 'n': 1, 'trace_an': 9}
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id: 71835950
{'hecke_orbit_code': 243194379911567741, 'n': 2, 'trace_an': 2}
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id: 71835951
{'hecke_orbit_code': 243194379911567741, 'n': 3, 'trace_an': 0}
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id: 71835952
{'hecke_orbit_code': 243194379911567741, 'n': 4, 'trace_an': 10}
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id: 71835953
{'hecke_orbit_code': 243194379911567741, 'n': 5, 'trace_an': 0}
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id: 71835954
{'hecke_orbit_code': 243194379911567741, 'n': 6, 'trace_an': 0}
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id: 71835955
{'hecke_orbit_code': 243194379911567741, 'n': 7, 'trace_an': -1}
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id: 71835956
{'hecke_orbit_code': 243194379911567741, 'n': 8, 'trace_an': 9}
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id: 71835957
{'hecke_orbit_code': 243194379911567741, 'n': 9, 'trace_an': 0}
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id: 71835958
{'hecke_orbit_code': 243194379911567741, 'n': 10, 'trace_an': 0}
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id: 71835959
{'hecke_orbit_code': 243194379911567741, 'n': 11, 'trace_an': -2}
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id: 71835960
{'hecke_orbit_code': 243194379911567741, 'n': 12, 'trace_an': 0}
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id: 71835961
{'hecke_orbit_code': 243194379911567741, 'n': 13, 'trace_an': -1}
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id: 71835962
{'hecke_orbit_code': 243194379911567741, 'n': 14, 'trace_an': 3}
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id: 71835963
{'hecke_orbit_code': 243194379911567741, 'n': 15, 'trace_an': 0}
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id: 71835964
{'hecke_orbit_code': 243194379911567741, 'n': 16, 'trace_an': 4}
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id: 71835965
{'hecke_orbit_code': 243194379911567741, 'n': 17, 'trace_an': 12}
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id: 71835966
{'hecke_orbit_code': 243194379911567741, 'n': 18, 'trace_an': 0}
-
id: 71835967
{'hecke_orbit_code': 243194379911567741, 'n': 19, 'trace_an': -1}
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id: 71835968
{'hecke_orbit_code': 243194379911567741, 'n': 20, 'trace_an': 0}
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id: 71835969
{'hecke_orbit_code': 243194379911567741, 'n': 21, 'trace_an': 0}
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id: 71835970
{'hecke_orbit_code': 243194379911567741, 'n': 22, 'trace_an': -3}
-
id: 71835971
{'hecke_orbit_code': 243194379911567741, 'n': 23, 'trace_an': 16}
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id: 71835972
{'hecke_orbit_code': 243194379911567741, 'n': 24, 'trace_an': 0}
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id: 71835973
{'hecke_orbit_code': 243194379911567741, 'n': 25, 'trace_an': 0}
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id: 71835974
{'hecke_orbit_code': 243194379911567741, 'n': 26, 'trace_an': -6}
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id: 71835975
{'hecke_orbit_code': 243194379911567741, 'n': 27, 'trace_an': 0}
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id: 71835976
{'hecke_orbit_code': 243194379911567741, 'n': 28, 'trace_an': 4}
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id: 71835977
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