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{'Nk2': 16020, 'analytic_conductor': 31.980086009522793, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [89, 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': [4005, 1, [3116, 802, 181], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 324323556, 'field_disc_factorization': [[2, 2], [3, 1], [27026963, 1]], 'field_poly': [6, -12, -10, 19, 6, -8, -1, 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, [9, 6, -29, -8, 24, -3, -4, 1]], [7, [4, -76, -96, 189, 236, 94, 16, 1]], [11, [128, -608, 968, -639, 149, 14, -10, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816745381, 'hecke_ring_generator_nbound': 7, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4005.2.a.o', 'level': 4005, '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, 89], 'level_radical': 1335, 'minimal_twist': '445.2.a.f', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{3})q^{4}-q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4005.2.a', 'trace_display': [4, 0, -7, -16], 'trace_hash': 1977398637721938687, 'trace_moments': 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-0.2961095644109966, -0.3294842428614975, -0.3846723792585097, -0.3132640724523052, -0.15840983451831614, -0.09038436334706801, -0.3515649853403921, -0.34233205270749867, -0.2336790531856405, -0.21685970239867633, -0.059033515875472724, -0.20402855504828615, -0.31611396446429385, -0.21193943081190833, -0.19190124744623646, -0.20244016898197525, -0.24147199339920777, -0.31082020832615953, -0.25854672527041944, -0.16398782673022988, -0.3063642459122379, -0.027972923540807333, -0.35849499435565385, -0.27922276850406924, -0.2928444402022336, -0.2742442389084199, -0.2572053881880327, -0.4208901844153679, -0.12523255810909303, -0.29635029356969106, -0.18016167511149606, -0.0915309072559312], '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': -1.4980326791790464, 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816745381, 'label': '4005.2.a.o.1.4', 'level': 4005, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [13, 17, 17, 13, 23, 21, 21, 23], 'Nk2': 16020, 'analytic_conductor': 31.980086009522793, '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': [4005, 1, [3116, 802, 181], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 533, 'dim': 148, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558437, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 6, 7, 8, 9, 10, 10, 10, 12, 12, 17, 17], 'label': '4005.2.a', 'level': 4005, '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, 89], 'level_radical': 1335, 'mf_dim': 548, 'mf_new_dim': 148, 'num_forms': 24, 'plus_dim': 68, 'prim_orbit_index': 1, 'relative_dim': 148, 'sturm_bound': 1080, 'trace_bound': 5, 'trace_display': [-4, 0, 0, 0], 'traces': 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-16, -96, 0, -32, 16, 0, 336, 496, 0, -104, -424, 0, 0, 256, 0, 292, 72, 0, -72, -464, 0, -268, 8, 0, -88, -224, 0, -12, 40, 0, 96, -68, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47785671
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050394816745381, 'source_is_minimal': False, 'source_label': '4005.2.a.o.1.4', 'source_level': 4005, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050394816745381, 'target_is_minimal': False, 'target_label': '4005.2.a.o.1.4', 'target_level': 4005, 'twist_class_label': '445.2.a.f.1.4', 'twist_class_level': 445, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47785672
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050394816745381, 'source_is_minimal': False, 'source_label': '4005.2.a.o.1.4', 'source_level': 4005, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22517998170407357, 'target_is_minimal': True, 'target_label': '445.2.a.f.1.4', 'target_level': 445, 'twist_class_label': '445.2.a.f.1.4', 'twist_class_level': 445, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47785673
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050394816745381, 'source_is_minimal': False, 'source_label': '4005.2.a.o.1.4', 'source_level': 4005, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 6, 'target_hecke_orbit_code': 157625986991528912, 'target_is_minimal': False, 'target_label': '7120.2.a.bj.1.6', 'target_level': 7120, 'twist_class_label': '445.2.a.f.1.4', 'twist_class_level': 445, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47785674
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 4, 'source_hecke_orbit_code': 63050394816745381, 'source_is_minimal': False, 'source_label': '4005.2.a.o.1.4', 'source_level': 4005, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996307261617, 'target_is_minimal': False, 'target_label': '2225.2.a.k.1.4', 'target_level': 2225, 'twist_class_label': '445.2.a.f.1.4', 'twist_class_level': 445, '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: 3469350
{'charpoly_factorization': [[[9, 6, -29, -8, 24, -3, -4, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 2}
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id: 3469351
{'charpoly_factorization': [[[0, 1], 7]], 'hecke_orbit_code': 63050394816745381, 'p': 3}
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id: 3469352
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 63050394816745381, 'p': 5}
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id: 3469353
{'charpoly_factorization': [[[4, -76, -96, 189, 236, 94, 16, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 7}
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id: 3469354
{'charpoly_factorization': [[[128, -608, 968, -639, 149, 14, -10, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 11}
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id: 3469355
{'charpoly_factorization': [[[5816, 9196, 4078, -67, -378, -44, 7, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 13}
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id: 3469356
{'charpoly_factorization': [[[-53832, 45924, -8470, -2117, 735, -11, -13, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 17}
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id: 3469357
{'charpoly_factorization': [[[-7164, 636, 4184, 143, -432, -52, 7, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 19}
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id: 3469358
{'charpoly_factorization': [[[-10772, 22384, -8088, -1211, 689, -17, -13, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 23}
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id: 3469359
{'charpoly_factorization': [[[-22744, -15124, 1322, 2129, 71, -90, -4, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 29}
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id: 3469360
{'charpoly_factorization': [[[2084, -35668, -6800, 5089, 152, -140, -1, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 31}
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id: 3469361
{'charpoly_factorization': [[[1544, -4988, 2750, 2247, -307, -91, 5, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 37}
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id: 3469362
{'charpoly_factorization': [[[57688, -211612, 11686, 11911, -557, -195, 5, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 41}
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id: 3469363
{'charpoly_factorization': [[[724, 6060, 12408, 8035, 2438, 386, 31, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 43}
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id: 3469364
{'charpoly_factorization': [[[128944, 31168, -26264, -1251, 1327, -58, -14, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 47}
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id: 3469365
{'charpoly_factorization': [[[371944, -6180, -49358, 2101, 1566, -102, -13, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 53}
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id: 3469366
{'charpoly_factorization': [[[1813884, -41268, -121660, 5571, 2510, -160, -14, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 59}
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id: 3469367
{'charpoly_factorization': [[[-608264, -315276, 1078, 13787, 339, -205, -3, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 61}
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id: 3469368
{'charpoly_factorization': [[[95952, -75288, -4916, 6057, 123, -141, -1, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 67}
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id: 3469369
{'charpoly_factorization': [[[3171744, -596016, -153848, 26965, 2080, -310, -8, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 71}
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id: 3469370
{'charpoly_factorization': [[[-275592, 359556, -127642, 7783, 2329, -225, -9, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 73}
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id: 3469371
{'charpoly_factorization': [[[6368, -6544, -12740, -1129, 1399, -123, -9, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 79}
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id: 3469372
{'charpoly_factorization': [[[-3622012, -758844, 708296, -115619, 4526, 427, -42, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 83}
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id: 3469373
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 63050394816745381, 'p': 89}
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id: 3469374
{'charpoly_factorization': [[[-2264, -1252, 4082, 1217, -350, -70, 7, 1], 1]], 'hecke_orbit_code': 63050394816745381, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '4005.2.a.o', 'level': 4005, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 59578885
{'hecke_orbit_code': 63050394816745381, 'n': 1, 'trace_an': 7}
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id: 59578886
{'hecke_orbit_code': 63050394816745381, 'n': 2, 'trace_an': 4}
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id: 59578887
{'hecke_orbit_code': 63050394816745381, 'n': 3, 'trace_an': 0}
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id: 59578888
{'hecke_orbit_code': 63050394816745381, 'n': 4, 'trace_an': 8}
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