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{'Nk2': 16120, 'analytic_conductor': 32.179712014576, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [13, 1], [31, -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': [4030, 1, [807, 1861, 2731], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 1142388148356713, 'field_disc_factorization': [[53, 1], [21554493365221, 1]], 'field_poly': [-112, 52, 294, -133, -212, 80, 46, -16, -3, 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': [[3, [112, 52, -294, -133, 212, 80, -46, -16, 3, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444115902, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4030.2.a.p', 'level': 4030, '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': True, 'level_primes': [2, 5, 13, 31], 'level_radical': 4030, 'minimal_twist': '4030.2.a.p', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta _{1}q^{3}+q^{4}-q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4030.2.a', 'trace_display': [-9, -3, -9, -3], 'trace_hash': 1434675287994104682, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.849', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [7, 9, 10, 6, 8, 7, 6, 9, 8, 7, 6, 9, 6, 8, 9, 6], 'Nk2': 16120, 'analytic_conductor': 32.179712014576, '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': [4030, 1, [807, 1861, 2731], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 665, 'dim': 121, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33558462, 'hecke_orbit_dims': [1, 2, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9], 'label': '4030.2.a', 'level': 4030, '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': True, 'level_primes': [2, 5, 13, 31], 'level_radical': 4030, 'mf_dim': 680, 'mf_new_dim': 121, 'num_forms': 18, 'plus_dim': 51, 'prim_orbit_index': 1, 'relative_dim': 121, 'sturm_bound': 1344, 'trace_bound': 5, 'trace_display': [-3, -4, -3, 8], 'traces': [121, -3, -4, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 67553994444115902, 'source_is_minimal': True, 'source_label': '4030.2.a.p.1.7', 'source_level': 4030, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 7, 'target_hecke_orbit_code': 67553994444115902, 'target_is_minimal': True, 'target_label': '4030.2.a.p.1.7', 'target_level': 4030, 'twist_class_label': '4030.2.a.p.1.7', 'twist_class_level': 4030, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3476425
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 67553994444115902, 'p': 2}
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id: 3476426
{'charpoly_factorization': [[[112, 52, -294, -133, 212, 80, -46, -16, 3, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 3}
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id: 3476427
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 67553994444115902, 'p': 5}
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id: 3476428
{'charpoly_factorization': [[[-384, -1715, -1834, 160, 973, 252, -100, -33, 3, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 7}
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id: 3476429
{'charpoly_factorization': [[[2688, -7556, -7258, 11031, -1090, -1514, 352, 29, -14, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 11}
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id: 3476430
{'charpoly_factorization': [[[1, 1], 9]], 'hecke_orbit_code': 67553994444115902, 'p': 13}
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id: 3476431
{'charpoly_factorization': [[[14774, 19085, -7764, -10149, 836, 1402, 1, -66, -1, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 17}
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id: 3476432
{'charpoly_factorization': [[[-40608, -98105, 88189, -1028, -11167, 1290, 460, -69, -6, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 19}
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id: 3476433
{'charpoly_factorization': [[[-87564, -279589, -234314, -37543, 21316, 4701, -555, -130, 4, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 23}
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id: 3476434
{'charpoly_factorization': [[[-490962, 106715, 440938, 2507, -50666, 244, 1715, -78, -15, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 29}
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id: 3476435
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 67553994444115902, 'p': 31}
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id: 3476436
{'charpoly_factorization': [[[616334, 485647, -514543, -104543, 45444, 6511, -1197, -146, 9, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 37}
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id: 3476437
{'charpoly_factorization': [[[-2756488, -1744592, 605864, 268907, -66003, -9684, 2869, -75, -18, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 41}
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id: 3476438
{'charpoly_factorization': [[[-853552, -2354036, -555402, 1011185, 193032, -14281, -4148, -53, 23, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 43}
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id: 3476439
{'charpoly_factorization': [[[39983792, 36148095, 358334, -2306240, -49955, 45776, 722, -363, -3, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 47}
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id: 3476440
{'charpoly_factorization': [[[-19871432, 12383076, -360930, -882949, 70903, 23324, -1443, -277, 6, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 53}
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id: 3476441
{'charpoly_factorization': [[[-80488, 564949, -531132, 125209, 22560, -11783, 723, 196, -28, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 59}
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id: 3476442
{'charpoly_factorization': [[[137935922, -124268811, 37112254, -2855250, -488255, 72601, 1576, -471, 0, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 61}
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id: 3476443
{'charpoly_factorization': [[[-7972016, -12010668, -3721804, 494517, 264579, 2224, -4652, -238, 16, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 67}
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id: 3476444
{'charpoly_factorization': [[[3705216, -2764396, -1149664, 644963, 35864, -41161, 4072, 145, -32, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 71}
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id: 3476445
{'charpoly_factorization': [[[-69612632, 48382120, -4196024, -2467299, 252659, 44746, -3206, -359, 11, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 73}
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id: 3476446
{'charpoly_factorization': [[[1097376, -2443220, 1625488, -292631, -58090, 20720, -416, -255, 8, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 79}
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id: 3476447
{'charpoly_factorization': [[[-10448076, -25689847, -20128774, -5177632, -177455, 74120, 4130, -421, -15, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 83}
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id: 3476448
{'charpoly_factorization': [[[2671726, 3788761, -1124812, -824501, 310004, -14216, -5901, 922, -51, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 89}
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id: 3476449
{'charpoly_factorization': [[[-15539098, -18287207, 4737653, 4578270, 628246, -26706, -8412, -174, 26, 1], 1]], 'hecke_orbit_code': 67553994444115902, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '4030.2.a.p', 'level': 4030, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 234720000
{'hecke_orbit_code': 67553994444115902, 'n': 1, 'trace_an': 9}
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id: 234720001
{'hecke_orbit_code': 67553994444115902, 'n': 2, 'trace_an': -9}
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id: 234720002
{'hecke_orbit_code': 67553994444115902, 'n': 3, 'trace_an': -3}
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id: 234720003
{'hecke_orbit_code': 67553994444115902, 'n': 4, 'trace_an': 9}
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id: 234720004
{'hecke_orbit_code': 67553994444115902, 'n': 5, 'trace_an': -9}
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id: 234720005
{'hecke_orbit_code': 67553994444115902, 'n': 6, 'trace_an': 3}
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id: 234720006
{'hecke_orbit_code': 67553994444115902, 'n': 7, 'trace_an': -3}
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id: 234720007
{'hecke_orbit_code': 67553994444115902, 'n': 8, 'trace_an': -9}
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id: 234720999
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