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{'Nk2': 10368, 'analytic_conductor': 50.606374128427724, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [162, 1, [83], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 43103376, 'field_disc_factorization': [[2, 4], [3, 2], [299329, 1]], 'field_poly': [18612, 384, -383, -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': [[5, [-484199775, -43841520, -64206, 528, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597898440866, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 104976, 'hecke_ring_index_factorization': [[2, 4], [3, 8]], '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': '162.8.a.g', 'level': 162, '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': [2, 3], 'level_radical': 6, 'minimal_twist': '162.8.a.g', 'nf_label': '4.4.43103376.1', 'prim_orbit_index': 1, 'qexp_display': 'q-8q^{2}+2^{6}q^{4}+(-132+\\beta _{1})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '162.8.a', 'trace_display': [-32, 0, -528, 560], 'trace_hash': 746319606282313187, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.012', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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'char_orbit_index': 1, 'field_poly': [18612, 384, -383, -2, 1], 'hecke_orbit_code': 27021597898440866, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 26, 26, 26], 'hecke_ring_inverse_denominators': [1, 108, 108, 108], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [54, 4, 1, -1], [20790, 4, 1, 103], [31158, 1474, 193, -219]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-960, -773, 1, 4], [-2748, 5873, 23, -16], [-5184, -27, 27, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '162.8.a.g', 'level': 162, 'maxp': 2999, 'weight': 8}
-
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{'ALdims': [7, 7, 6, 8], 'Nk2': 10368, 'analytic_conductor': 50.606374128427724, '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': [162, 1, [83], [1]], 'conrey_index': 1, 'cusp_dim': 177, 'dim': 28, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 134217890, 'hecke_orbit_dims': [1, 1, 2, 2, 3, 3, 4, 4, 4, 4], 'label': '162.8.a', 'level': 162, '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': [2, 3], 'level_radical': 6, 'mf_dim': 201, 'mf_new_dim': 28, 'num_forms': 10, 'plus_dim': 15, 'prim_orbit_index': 1, 'relative_dim': 28, 'sturm_bound': 216, 'trace_bound': 5, 'trace_display': [0, 0, 0, 332], 'traces': [28, 0, 0, 1792, 0, 0, 332, 0, 0, 3984, 0, 0, 16286, 0, 0, 114688, 0, 0, 42590, 0, 0, -70512, 0, 0, 428602, 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'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 137277
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '162.8.a.g', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '162.8.a.g', 'target_level': 162, 'twist_class_label': '162.8.a.g', 'twist_class_level': 162, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 137278
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '162.8.a.g', 'source_level': 162, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '162.8.a.j', 'target_level': 162, 'twist_class_label': '162.8.a.g', 'twist_class_level': 162, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 137279
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '162.8.a.g', 'source_level': 162, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '162.8.c.q', 'target_level': 162, 'twist_class_label': '162.8.a.g', 'twist_class_level': 162, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 137280
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '162.8.a.g', 'source_level': 162, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '162.8.c.r', 'target_level': 162, 'twist_class_label': '162.8.a.g', 'twist_class_level': 162, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 425325
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 27021597898440866, 'p': 2}
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id: 425326
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021597898440866, 'p': 3}
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id: 425327
{'charpoly_factorization': [[[-484199775, -43841520, -64206, 528, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 5}
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id: 425328
{'charpoly_factorization': [[[252275377936, 1190822080, -2214984, -560, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 7}
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id: 425329
{'charpoly_factorization': [[[267055051594896, -68674132800, -39158424, 2160, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 11}
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id: 425330
{'charpoly_factorization': [[[1452900887304409, 795134750620, -67440594, -13460, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 13}
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id: 425331
{'charpoly_factorization': [[[-169349008905990711, -27515155943520, -988854534, 22560, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 17}
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id: 425332
{'charpoly_factorization': [[[66206977461391504, 6454798043008, -527500200, -36704, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 19}
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id: 425333
{'charpoly_factorization': [[[-4542106883920709616, -279339465948480, -3139151544, 62640, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 23}
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id: 425334
{'charpoly_factorization': [[[33716501832073496481, -4155697096117200, -41408242254, 68400, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 29}
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id: 425335
{'charpoly_factorization': [[[-836808456133185511424, 12849362461871104, -36827370048, -227504, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 31}
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id: 425336
{'charpoly_factorization': [[[-161012920793959209239, 5794311403733620, -19822599714, -523580, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 37}
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id: 425337
{'charpoly_factorization': [[[611852219724636354816, -2117026744842240, -258925497696, 67200, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 41}
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id: 425338
{'charpoly_factorization': [[[-19545980446249404990704, 182206217308843840, -349934340936, -562640, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 43}
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id: 425339
{'charpoly_factorization': [[[113943346137275460528384, -138282918352809984, -718947761760, 515328, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 47}
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id: 425340
{'charpoly_factorization': [[[415170339223471466766336, -1854148058152068096, -31592144448, 2498016, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 53}
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id: 425341
{'charpoly_factorization': [[[766082127125653550567424, 3553785818451947520, 5929906292352, 4155840, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 59}
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id: 425342
{'charpoly_factorization': [[[-5693974120517148841487111, 13361956597885195588, -5016190701810, -2130764, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 61}
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id: 425343
{'charpoly_factorization': [[[47970659327044590756009616, -1505999071106988800, -19683491416104, 1205440, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 67}
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id: 425344
{'charpoly_factorization': [[[48535608756797071767475344, 90235355716170077760, 53328254782824, 12486480, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 71}
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id: 425345
{'charpoly_factorization': [[[1326962692344362342034049, -8364548034988230020, -5600522171514, 4820860, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 73}
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id: 425346
{'charpoly_factorization': [[[-644138522246699743383110000, -371303386406221856000, -8337504757800, 11471680, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 79}
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id: 425347
{'charpoly_factorization': [[[-1135995373569030478346133504, -557482672979439639552, 23668899413184, 16811232, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 83}
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id: 425348
{'charpoly_factorization': [[[33041485329209866479133881, -286170565780831219200, 35224506907434, 16857600, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 89}
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id: 425349
{'charpoly_factorization': [[[-1575999162506598417426385136, 299927519377241046880, 214725714364248, 27078040, 1], 1]], 'hecke_orbit_code': 27021597898440866, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '162.8.a.g', 'level': 162, 'portrait': 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', 'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 46902055
{'hecke_orbit_code': 27021597898440866, 'n': 1, 'trace_an': 4}
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id: 46902056
{'hecke_orbit_code': 27021597898440866, 'n': 2, 'trace_an': -32}
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id: 46902057
{'hecke_orbit_code': 27021597898440866, 'n': 3, 'trace_an': 0}
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id: 46902058
{'hecke_orbit_code': 27021597898440866, 'n': 4, 'trace_an': 256}
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id: 46902059
{'hecke_orbit_code': 27021597898440866, 'n': 5, 'trace_an': -528}
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id: 46902060
{'hecke_orbit_code': 27021597898440866, 'n': 6, 'trace_an': 0}
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id: 46902061
{'hecke_orbit_code': 27021597898440866, 'n': 7, 'trace_an': 560}
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id: 46902062
{'hecke_orbit_code': 27021597898440866, 'n': 8, 'trace_an': -2048}
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id: 46902063
{'hecke_orbit_code': 27021597898440866, 'n': 9, 'trace_an': 0}
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id: 46902064
{'hecke_orbit_code': 27021597898440866, 'n': 10, 'trace_an': 4224}
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id: 46902065
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