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{'Nk2': 26100, 'analytic_conductor': 52.10238731888545, 'analytic_rank': 1, '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': 53, 'hecke_orbit_code': 234187180656826749, '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.ca', '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+\\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, -1], 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'embedding_root_real': 1.7781957808831623, 'hecke_orbit': 53, 'hecke_orbit_code': 234187180656826749, 'label': '6525.2.a.ca.1.3', '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: 49056869
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 3, 'source_hecke_orbit_code': 234187180656826749, 'source_is_minimal': True, 'source_label': '6525.2.a.ca.1.3', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 3, 'target_hecke_orbit_code': 234187180656826749, 'target_is_minimal': True, 'target_label': '6525.2.a.ca.1.3', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.3', 'twist_class_level': 6525, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49056870
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 3, 'source_hecke_orbit_code': 234187180656826749, 'source_is_minimal': True, 'source_label': '6525.2.a.ca.1.3', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 7, 'target_hecke_orbit_code': 243194379911567741, 'target_is_minimal': True, 'target_label': '6525.2.a.cc.1.7', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.3', 'twist_class_level': 6525, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49056871
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 3, 'source_hecke_orbit_code': 234187180656826749, 'source_is_minimal': True, 'source_label': '6525.2.a.ca.1.3', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 7, 'target_hecke_orbit_code': 247697979538938237, 'target_is_minimal': True, 'target_label': '6525.2.a.cd.1.7', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.3', 'twist_class_level': 6525, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49056872
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 3, 'source_hecke_orbit_code': 234187180656826749, 'source_is_minimal': True, 'source_label': '6525.2.a.ca.1.3', 'source_level': 6525, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 3, 'target_hecke_orbit_code': 238690780284197245, 'target_is_minimal': True, 'target_label': '6525.2.a.cb.1.3', 'target_level': 6525, 'twist_class_label': '6525.2.a.ca.1.3', '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: 4213650
{'charpoly_factorization': [[[10, 40, -66, -73, 68, 48, -21, -12, 2, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 2}
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id: 4213651
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 234187180656826749, 'p': 3}
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id: 4213652
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 234187180656826749, 'p': 5}
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id: 4213653
{'charpoly_factorization': [[[25, 125, 50, -270, -89, 199, -3, -27, 1, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 7}
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id: 4213654
{'charpoly_factorization': [[[-600, -5420, 8414, -1381, -2064, 635, 124, -48, -2, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 11}
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id: 4213655
{'charpoly_factorization': [[[-5885, 1705, 5774, -3036, -769, 617, 15, -43, 1, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 13}
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id: 4213656
{'charpoly_factorization': [[[1070, 5360, 8978, 4989, -988, -1733, -436, 4, 12, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 17}
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id: 4213657
{'charpoly_factorization': [[[-164800, 153760, 17792, -35984, 112, 2920, -53, -95, 1, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 19}
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id: 4213658
{'charpoly_factorization': [[[-640, -1600, 7104, 7648, -1208, -2620, -530, 34, 16, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 23}
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id: 4213659
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 234187180656826749, 'p': 29}
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id: 4213660
{'charpoly_factorization': [[[320, -18720, 23088, -3456, -4648, 1158, 295, -67, -5, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 31}
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id: 4213661
{'charpoly_factorization': [[[-11520, 21120, 12352, -29760, -16, 5456, 28, -148, 0, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 37}
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id: 4213662
{'charpoly_factorization': [[[28800, -983040, -1103672, -60815, 76474, 7087, -1612, -161, 10, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 41}
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id: 4213663
{'charpoly_factorization': [[[-1275840, 1522560, 541984, -356904, -18144, 17328, -167, -239, 3, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 43}
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id: 4213664
{'charpoly_factorization': [[[4977120, 6377600, 2689512, 226635, -137832, -40097, -3394, 82, 26, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 47}
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id: 4213665
{'charpoly_factorization': [[[-3780480, 7817920, -4026368, 249344, 202592, -12224, -4814, -110, 22, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 53}
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id: 4213666
{'charpoly_factorization': [[[-28656000, 3888000, 6659264, -1264160, -184696, 37168, 1618, -350, -4, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 59}
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id: 4213667
{'charpoly_factorization': [[[46656, 53568, -30384, -38784, -4648, 2844, 395, -83, -7, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 61}
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id: 4213668
{'charpoly_factorization': [[[-2311495, 2799785, -360178, -307790, 42195, 13131, -1095, -235, 5, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 67}
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id: 4213669
{'charpoly_factorization': [[[73200000, 18488000, -4886720, -1374560, 98992, 34200, -550, -322, 0, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 71}
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id: 4213670
{'charpoly_factorization': [[[29099520, -36449280, 12321792, 85184, -474080, 34368, 4136, -384, -10, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 73}
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id: 4213671
{'charpoly_factorization': [[[18312192, 17634816, 3328768, -903104, -206912, 24112, 3120, -308, -10, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 79}
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id: 4213672
{'charpoly_factorization': [[[-1287680, 2421760, 1066368, -326592, -165408, -7360, 4432, 752, 46, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 83}
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id: 4213673
{'charpoly_factorization': [[[1503000, 2545100, -125178, -541895, -20558, 25437, 872, -316, -4, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 89}
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id: 4213674
{'charpoly_factorization': [[[-88640, -248800, -89824, 50888, 31332, 2412, -1051, -143, 7, 1], 1]], 'hecke_orbit_code': 234187180656826749, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 53, 'label': '6525.2.a.ca', '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: 71723203
{'hecke_orbit_code': 234187180656826749, 'n': 1, 'trace_an': 9}
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id: 71723204
{'hecke_orbit_code': 234187180656826749, 'n': 2, 'trace_an': -2}
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id: 71723205
{'hecke_orbit_code': 234187180656826749, 'n': 3, 'trace_an': 0}
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id: 71723206
{'hecke_orbit_code': 234187180656826749, 'n': 4, 'trace_an': 10}
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id: 71723207
{'hecke_orbit_code': 234187180656826749, 'n': 5, 'trace_an': 0}
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id: 71723208
{'hecke_orbit_code': 234187180656826749, 'n': 6, 'trace_an': 0}
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id: 71723209
{'hecke_orbit_code': 234187180656826749, 'n': 7, 'trace_an': -1}
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id: 71723210
{'hecke_orbit_code': 234187180656826749, 'n': 8, 'trace_an': -9}
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id: 71723211
{'hecke_orbit_code': 234187180656826749, 'n': 9, 'trace_an': 0}
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id: 71723212
{'hecke_orbit_code': 234187180656826749, 'n': 10, 'trace_an': 0}
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id: 71723213
{'hecke_orbit_code': 234187180656826749, 'n': 11, 'trace_an': 2}
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id: 71723214
{'hecke_orbit_code': 234187180656826749, 'n': 12, 'trace_an': 0}
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id: 71723215
{'hecke_orbit_code': 234187180656826749, 'n': 13, 'trace_an': -1}
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id: 71723216
{'hecke_orbit_code': 234187180656826749, 'n': 14, 'trace_an': -3}
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id: 71723217
{'hecke_orbit_code': 234187180656826749, 'n': 15, 'trace_an': 0}
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id: 71723218
{'hecke_orbit_code': 234187180656826749, 'n': 16, 'trace_an': 4}
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id: 71723219
{'hecke_orbit_code': 234187180656826749, 'n': 17, 'trace_an': -12}
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id: 71723220
{'hecke_orbit_code': 234187180656826749, 'n': 18, 'trace_an': 0}
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id: 71723221
{'hecke_orbit_code': 234187180656826749, 'n': 19, 'trace_an': -1}
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id: 71723222
{'hecke_orbit_code': 234187180656826749, 'n': 20, 'trace_an': 0}
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id: 71723223
{'hecke_orbit_code': 234187180656826749, 'n': 21, 'trace_an': 0}
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id: 71723224
{'hecke_orbit_code': 234187180656826749, 'n': 22, 'trace_an': -3}
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id: 71723225
{'hecke_orbit_code': 234187180656826749, 'n': 23, 'trace_an': -16}
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id: 71723226
{'hecke_orbit_code': 234187180656826749, 'n': 24, 'trace_an': 0}
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id: 71723227
{'hecke_orbit_code': 234187180656826749, 'n': 25, 'trace_an': 0}
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id: 71723228
{'hecke_orbit_code': 234187180656826749, 'n': 26, 'trace_an': 6}
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