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{'Nk2': 25600, 'analytic_conductor': 94.40305600918498, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1600, 1, [1151, 901, 577], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 24, 'field_disc_factorization': [[2, 3], [3, 1]], 'field_poly': [-6, 0, 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, [-20, 4, 1]], [7, [-212, -4, 1]], [11, [-1136, -40, 1]], [13, [2608, -104, 1]]], 'hecke_orbit': 58, 'hecke_orbit_code': 256705178827228736, 'hecke_ring_generator_nbound': 3, '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': '1600.4.a.cf', 'level': 1600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '40.4.c.a', 'nf_label': '2.2.24.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-2+\\beta )q^{3}+(2+3\\beta )q^{7}+(1-4\\beta )q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1600.4.a', 'trace_display': [0, -4, 0, 4], 'trace_hash': 1549076606928655909, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.946', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.089', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.206', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '60.277', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [2, 0, -4, 0, 0, 0, 4, 0, 2, 0, 40, 0, 104, 0, 0, 0, -96, 0, 40, 0, 136, 0, 284, 0, 0, 0, -88, 0, 140, 0, -192, 0, -464, 0, 0, 0, 200, 0, -112, 0, -524, 0, -372, 0, 0, 0, 84, 0, -246, 0, 960, 0, -296, 0, 0, 0, 304, 0, 696, 0, 692, 0, -572, 0, 0, 0, -316, 0, 56, 0, -688, 0, 656, 0, 0, 0, -1072, 0, 736, 0, -742, 0, 1628, 0, 0, 0, -1048, 0, -660, 0, 496, 0, -1920, 0, 0, 0, -896, 0, 1576, 0, 708, 0, -644, 0, 0, 0, 1460, 0, 108, 0, 1232, 0, 352, 0, 0, 0, -280, 0, 2112, 0, 1210, 0, 472, 0, 0, 0, 1716, 0, 1752, 0, 120, 0, 1232, 0, 0, 0, 176, 0, 2264, 0, -3288, 0, 1312, 0, 0, 0, 1068, 0, 348, 0, 3184, 0, -3168, 0, 0, 0, 3832, 0, 5872, 0, 2440, 0, -5956, 0, 0, 0, 900, 0, 1206, 0, -1496, 0, 2664, 0, 0, 0, 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-0.1684444342718981, -0.17647153021978668, -0.34032941146362455, -0.30048579322745483, -0.22607023165734474, -0.2702863202104182, -0.23986638984208689, -0.131693917454138, -0.25737011731236903, -0.19708590776196735, -0.1998822408630905, -0.36489356510616633, -0.1449680742475653, -0.3014338977044619, -0.39156835863788786], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.449489742783178, 'hecke_orbit': 58, 'hecke_orbit_code': 256705178827228736, 'label': '1600.4.a.cf.1.2', 'level': 1600, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [27, 28, 26, 30], 'ALdims_eis_new': [1, 2, 1, 2], 'ALdims_eis_old': [17, 16, 17, 16], 'ALdims_old': [147, 142, 142, 142], 'Nk2': 25600, 'analytic_conductor': 94.40305600918498, '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': [1600, 1, [1151, 901, 577], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 684, 'dim': 111, 'eis_dim': 72, 'eis_new_dim': 6, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 67110464, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '1600.4.a', 'level': 1600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 756, 'mf_new_dim': 117, 'num_forms': 76, 'plus_dim': 57, 'prim_orbit_index': 1, 'relative_dim': 111, 'sturm_bound': 960, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [111, 0, 0, 0, 0, 0, 0, 0, 947, 0, 0, 0, 70, 0, 0, 0, 54, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, -202, 0, 0, 0, -176, 0, 0, 0, -514, 0, 0, 0, -282, 0, 0, 0, 0, 0, 0, 0, 4559, 0, 0, 0, -34, 0, 0, 0, 400, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, 1432, 0, 0, 0, -146, 0, 0, 0, -1488, 0, 0, 0, 9247, 0, 0, 0, 0, 0, 0, 0, 894, 0, 0, 0, -1568, 0, 0, 0, 582, 0, 0, 0, -1578, 0, 0, 0, 0, 0, 0, 0, 3686, 0, 0, 0, 3766, 0, 0, 0, 670, 0, 0, 0, 11491, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, -112, 0, 0, 0, 14, 0, 0, 0, -8232, 0, 0, 0, 0, 0, 0, 0, -1570, 0, 0, 0, 6926, 0, 0, 0, 7654, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16185, 0, 0, 0, 7126, 0, 0, 0, -2448, 0, 0, 0, -2730, 0, 0, 0, 0, 0, 0, 0, -10624, 0, 0, 0, 870, 0, 0, 0, 6606, 0, 0, 0, 1960, 0, 0, 0, 0, 0, 0, 0, -1328, 0, 0, 0, 4544, 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0, 0, 0, 479390, 0, 0, 0, 0, 0, 0, 0, 243544, 0, 0, 0, -175792, 0, 0, 0, -127538, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49088475
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 256705178827228736, 'target_is_minimal': False, 'target_label': '1600.4.a.cf.1.2', 'target_level': 1600, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 49088476
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 283726776591451712, 'target_is_minimal': False, 'target_label': '1600.4.a.cl.1.1', 'target_level': 1600, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 49088477
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 129, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525334897656128, 'target_is_minimal': False, 'target_label': '320.4.c.h.129.2', 'target_level': 320, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 49088478
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 129, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31525334897656128, 'target_is_minimal': False, 'target_label': '320.4.c.h.129.3', 'target_level': 320, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 49088479
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 288230376218822208, 'target_is_minimal': False, 'target_label': '1600.4.a.cm.1.1', 'target_level': 1600, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 49088480
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996340814024, 'target_is_minimal': False, 'target_label': '200.4.a.k.1.2', 'target_level': 200, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 49088481
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791496630672, 'target_is_minimal': False, 'target_label': '400.4.a.x.1.1', 'target_level': 400, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 49088482
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 129, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021735270285632, 'target_is_minimal': False, 'target_label': '320.4.c.g.129.2', 'target_level': 320, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 49088483
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 129, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021735270285632, 'target_is_minimal': False, 'target_label': '320.4.c.g.129.3', 'target_level': 320, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 49088484
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 252201579199858240, 'target_is_minimal': False, 'target_label': '1600.4.a.ce.1.2', 'target_level': 1600, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 49088485
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586652448520, 'target_is_minimal': False, 'target_label': '1800.4.a.bk.1.1', 'target_level': 1800, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 49088486
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 9, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137506062376, 'target_is_minimal': True, 'target_label': '40.4.c.a.9.3', 'target_level': 40, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '40.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 49088487
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336760803408, 'target_is_minimal': False, 'target_label': '80.4.c.c.49.2', 'target_level': 80, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '40.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 49088488
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968184520, 'target_is_minimal': False, 'target_label': '200.4.a.l.1.1', 'target_level': 200, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 49088489
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 9, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137506062376, 'target_is_minimal': True, 'target_label': '40.4.c.a.9.2', 'target_level': 40, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '40.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 49088490
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592241889680, 'target_is_minimal': False, 'target_label': '400.4.a.v.1.2', 'target_level': 400, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 49088491
{'conductor': 40, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007336760803408, 'target_is_minimal': False, 'target_label': '80.4.c.c.49.3', 'target_level': 80, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '40.37', 'twisting_conrey_index': 37, 'weight': 4}
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id: 49088492
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043539192939216, 'target_is_minimal': False, 'target_label': '720.4.f.m.289.1', 'target_level': 720, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 4}
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id: 49088493
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584789301000, 'target_is_minimal': False, 'target_label': '1800.4.a.bp.1.2', 'target_level': 1800, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 4}
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id: 49088494
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043539192939216, 'target_is_minimal': False, 'target_label': '720.4.f.m.289.2', 'target_level': 720, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '120.77', 'twisting_conrey_index': 77, 'weight': 4}
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id: 49088495
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742173974888, 'target_is_minimal': False, 'target_label': '360.4.f.e.289.1', 'target_level': 360, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 4}
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id: 49088496
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 256705178827228736, 'source_is_minimal': False, 'source_label': '1600.4.a.cf.1.2', 'source_level': 1600, 'target_conrey_index': 289, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742173974888, 'target_is_minimal': False, 'target_label': '360.4.f.e.289.2', 'target_level': 360, 'twist_class_label': '40.4.c.a.9.2', 'twist_class_level': 40, 'twisting_char_label': '120.107', 'twisting_conrey_index': 107, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2071275
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178827228736, 'p': 2}
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id: 2071276
{'charpoly_factorization': [[[-20, 4, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 3}
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id: 2071277
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 256705178827228736, 'p': 5}
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id: 2071278
{'charpoly_factorization': [[[-212, -4, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 7}
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id: 2071279
{'charpoly_factorization': [[[-1136, -40, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 11}
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id: 2071280
{'charpoly_factorization': [[[2608, -104, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 13}
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id: 2071281
{'charpoly_factorization': [[[-3840, 96, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 17}
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id: 2071282
{'charpoly_factorization': [[[-1136, -40, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 19}
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id: 2071283
{'charpoly_factorization': [[[16108, -284, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 23}
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id: 2071284
{'charpoly_factorization': [[[-1244, -140, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 29}
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id: 2071285
{'charpoly_factorization': [[[-46080, 192, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 31}
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id: 2071286
{'charpoly_factorization': [[[-17744, -200, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 37}
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id: 2071287
{'charpoly_factorization': [[[65188, 524, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 41}
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id: 2071288
{'charpoly_factorization': [[[24012, 372, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 43}
-
id: 2071289
{'charpoly_factorization': [[[-99636, -84, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 47}
-
id: 2071290
{'charpoly_factorization': [[[-268496, 296, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 53}
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id: 2071291
{'charpoly_factorization': [[[-64752, -696, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 59}
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id: 2071292
{'charpoly_factorization': [[[100900, -692, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 61}
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id: 2071293
{'charpoly_factorization': [[[23788, 316, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 67}
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id: 2071294
{'charpoly_factorization': [[[93760, 688, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 71}
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id: 2071295
{'charpoly_factorization': [[[-95552, -656, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 73}
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id: 2071296
{'charpoly_factorization': [[[129280, -736, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 79}
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id: 2071297
{'charpoly_factorization': [[[604972, -1628, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 83}
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id: 2071298
{'charpoly_factorization': [[[53604, 660, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 89}
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id: 2071299
{'charpoly_factorization': [[[162304, 896, 1], 1]], 'hecke_orbit_code': 256705178827228736, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 58, 'label': '1600.4.a.cf', 'level': 1600, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 72011905
{'hecke_orbit_code': 256705178827228736, 'n': 1, 'trace_an': 2}
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id: 72011906
{'hecke_orbit_code': 256705178827228736, 'n': 2, 'trace_an': 0}
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id: 72011907
{'hecke_orbit_code': 256705178827228736, 'n': 3, 'trace_an': -4}
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id: 72011908
{'hecke_orbit_code': 256705178827228736, 'n': 4, 'trace_an': 0}
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id: 72011909
{'hecke_orbit_code': 256705178827228736, 'n': 5, 'trace_an': 0}
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id: 72011910
{'hecke_orbit_code': 256705178827228736, 'n': 6, 'trace_an': 0}
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id: 72011911
{'hecke_orbit_code': 256705178827228736, 'n': 7, 'trace_an': 4}
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id: 72011912
{'hecke_orbit_code': 256705178827228736, 'n': 8, 'trace_an': 0}
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id: 72011913
{'hecke_orbit_code': 256705178827228736, 'n': 9, 'trace_an': 2}
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id: 72011914
{'hecke_orbit_code': 256705178827228736, 'n': 10, 'trace_an': 0}
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id: 72011915
{'hecke_orbit_code': 256705178827228736, 'n': 11, 'trace_an': 40}
-
id: 72011916
{'hecke_orbit_code': 256705178827228736, 'n': 12, 'trace_an': 0}
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id: 72011917
{'hecke_orbit_code': 256705178827228736, 'n': 13, 'trace_an': 104}
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id: 72011918
{'hecke_orbit_code': 256705178827228736, 'n': 14, 'trace_an': 0}
-
id: 72011919
{'hecke_orbit_code': 256705178827228736, 'n': 15, 'trace_an': 0}
-
id: 72011920
{'hecke_orbit_code': 256705178827228736, 'n': 16, 'trace_an': 0}
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id: 72011921
{'hecke_orbit_code': 256705178827228736, 'n': 17, 'trace_an': -96}
-
id: 72011922
{'hecke_orbit_code': 256705178827228736, 'n': 18, 'trace_an': 0}
-
id: 72011923
{'hecke_orbit_code': 256705178827228736, 'n': 19, 'trace_an': 40}
-
id: 72011924
{'hecke_orbit_code': 256705178827228736, 'n': 20, 'trace_an': 0}
-
id: 72011925
{'hecke_orbit_code': 256705178827228736, 'n': 21, 'trace_an': 136}
-
id: 72011926
{'hecke_orbit_code': 256705178827228736, 'n': 22, 'trace_an': 0}
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