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{'Nk2': 14616, 'analytic_conductor': 29.177336898575852, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 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': [3654, 1, [407, 2089, 379], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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': [[5, [-10, 2, 5, 1]], [11, [20, -24, 1, 1]], [13, [-2, 10, -7, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599931974, 'hecke_ring_generator_nbound': 5, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3654.2.a.bc', 'level': 3654, '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, 7, 29], 'level_radical': 1218, 'minimal_twist': '406.2.a.f', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+(-2+\\beta _{1})q^{5}-q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3654.2.a', 'trace_display': [3, 0, -5, -3], 'trace_hash': 624404249200725636, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.957', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.351', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '249.800', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, 'traces': [3, 3, 0, 3, -5, 0, -3, 3, 0, -5, -1, 0, 7, -3, 0, 3, -8, 0, -8, -5, 0, -1, -6, 0, 6, 7, 0, -3, -3, 0, 5, 3, 0, -8, 5, 0, 10, -8, 0, -5, -16, 0, -15, -1, 0, -6, -5, 0, 3, 6, 0, 7, -11, 0, -19, -3, 0, -3, -28, 0, -10, 5, 0, 3, 1, 0, -14, -8, 0, 5, -8, 0, -16, 10, 0, -8, 1, 0, -3, -5, 0, -16, 12, 0, -4, -15, 0, -1, 10, 0, -7, -6, 0, -5, 4, 0, -16, 3, 0, 6, -28, 0, 8, 7, 0, -11, 22, 0, 7, -19, 0, -3, 8, 0, -6, -3, 0, -28, 8, 0, 16, -10, 0, 5, -15, 0, -40, 3, 0, 1, -12, 0, 8, -14, 0, -8, -6, 0, 14, 5, 0, -8, -23, 0, 5, -16, 0, 10, 19, 0, -14, -8, 0, 1, -5, 0, -20, -3, 0, -5, 6, 0, 5, -16, 0, 12, -32, 0, -10, -4, 0, -15, -26, 0, -6, -1, 0, 10, -4, 0, -9, -7, 0, -6, -42, 0, 16, -5, 0, 4, 8, 0, -8, 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'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 3.124885419764574, 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599931974, 'label': '3654.2.a.bc.1.3', 'level': 3654, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 5, 6, 1, 6, 4, 6, 6, 5, 2, 1, 6, 5, 6, 7, 2], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [37, 43, 44, 39, 41, 39, 35, 39, 37, 42, 45, 38, 38, 41, 38, 39], 'Nk2': 14616, 'analytic_conductor': 29.177336898575852, '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': [3654, 1, [407, 2089, 379], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 705, 'dim': 70, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33558086, '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, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 5, 5, 5, 5], 'label': '3654.2.a', 'level': 3654, '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, 7, 29], 'level_radical': 1218, 'mf_dim': 736, 'mf_new_dim': 70, 'num_forms': 37, 'plus_dim': 23, 'prim_orbit_index': 1, 'relative_dim': 70, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [-2, 0, -8, 0], 'traces': [70, -2, 0, 70, -8, 0, 0, -2, 0, 0, 0, 0, 8, -4, 0, 70, 4, 0, 12, -8, 0, 4, -8, 0, 86, 0, 0, 0, -6, 0, 32, -2, 0, 12, 0, 0, 20, -8, 0, 0, -12, 0, 24, 0, 0, 8, 24, 0, 70, -6, 0, 8, 32, 0, 64, -4, 0, 2, -16, 0, 24, 28, 0, 70, 36, 0, 64, 4, 0, -4, 16, 0, 44, 12, 0, 12, 8, 0, 32, -8, 0, 28, 64, 0, 32, -12, 0, 4, 12, 0, 0, -8, 0, 20, 72, 0, 76, -2, 0, 86, 88, 0, 56, 0, 0, -12, 88, 0, 0, 44, 0, 0, -28, 0, 64, -6, 0, -28, 16, 0, 82, -4, 0, 32, -60, 0, 24, -2, 0, -16, 12, 0, -20, 16, 0, 12, 28, 0, 16, 0, 0, 56, -56, 0, 0, 12, 0, 20, 8, 0, 48, -8, 0, -16, -16, 0, 16, 12, 0, 0, 8, 0, 16, -12, 0, 52, -40, 0, 86, -24, 0, 24, -44, 0, 40, 0, 0, 4, -40, 0, 8, -4, 0, 8, 48, 0, 32, 24, 0, 0, 80, 0, -28, -28, 0, 70, 92, 0, -64, -6, 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-72, 0, -168, 64, 0, 16, 16, 0, -208, 88, 0, -108, 0, 0, 370, -56, 0, -24, -144, 0, -168, 38, 0, -144, -180, 0, 8, -32, 0, 24, 24, 0, 104, -8, 0, 132, 184, 0, -304, 0, 0, -56, -136, 0, -16, 28, 0, 32, 96, 0, -136, -48, 0, -96], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48668808
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126100789599931974, 'source_is_minimal': False, 'source_label': '3654.2.a.bc.1.3', 'source_level': 3654, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599931974, 'target_is_minimal': False, 'target_label': '3654.2.a.bc.1.3', 'target_level': 3654, 'twist_class_label': '406.2.a.f.1.2', 'twist_class_level': 406, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48668809
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126100789599931974, 'source_is_minimal': False, 'source_label': '3654.2.a.bc.1.3', 'source_level': 3654, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407318, 'target_is_minimal': True, 'target_label': '406.2.a.f.1.2', 'target_level': 406, 'twist_class_label': '406.2.a.f.1.2', 'twist_class_level': 406, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48668810
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126100789599931974, 'source_is_minimal': False, 'source_label': '3654.2.a.bc.1.3', 'source_level': 3654, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992580967600, 'target_is_minimal': False, 'target_label': '3248.2.a.u.1.2', 'target_level': 3248, 'twist_class_label': '406.2.a.f.1.2', 'twist_class_level': 406, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48668811
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 126100789599931974, 'source_is_minimal': False, 'source_label': '3654.2.a.bc.1.3', 'source_level': 3654, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189373722, 'target_is_minimal': False, 'target_label': '2842.2.a.n.1.2', 'target_level': 2842, 'twist_class_label': '406.2.a.f.1.2', 'twist_class_level': 406, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3292675
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 126100789599931974, 'p': 2}
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id: 3292676
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 126100789599931974, 'p': 3}
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id: 3292677
{'charpoly_factorization': [[[-10, 2, 5, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 5}
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id: 3292678
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 126100789599931974, 'p': 7}
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id: 3292679
{'charpoly_factorization': [[[20, -24, 1, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 11}
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id: 3292680
{'charpoly_factorization': [[[-2, 10, -7, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 13}
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id: 3292681
{'charpoly_factorization': [[[-64, 2, 8, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 17}
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id: 3292682
{'charpoly_factorization': [[[-80, -12, 8, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 19}
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id: 3292683
{'charpoly_factorization': [[[-136, -28, 6, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 23}
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id: 3292684
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 126100789599931974, 'p': 29}
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id: 3292685
{'charpoly_factorization': [[[106, -22, -5, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 31}
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id: 3292686
{'charpoly_factorization': [[[80, 8, -10, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 37}
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id: 3292687
{'charpoly_factorization': [[[-352, 18, 16, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 41}
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id: 3292688
{'charpoly_factorization': [[[-32, 32, 15, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 43}
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id: 3292689
{'charpoly_factorization': [[[-10, 2, 5, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 47}
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id: 3292690
{'charpoly_factorization': [[[-68, 16, 11, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 53}
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id: 3292691
{'charpoly_factorization': [[[664, 242, 28, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 59}
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id: 3292692
{'charpoly_factorization': [[[-80, 8, 10, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 61}
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id: 3292693
{'charpoly_factorization': [[[-128, -32, 14, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 67}
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id: 3292694
{'charpoly_factorization': [[[176, -100, 8, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 71}
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id: 3292695
{'charpoly_factorization': [[[80, 66, 16, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 73}
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id: 3292696
{'charpoly_factorization': [[[-40, -72, 3, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 79}
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id: 3292697
{'charpoly_factorization': [[[568, -142, -12, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 83}
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id: 3292698
{'charpoly_factorization': [[[220, -158, -10, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 89}
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id: 3292699
{'charpoly_factorization': [[[-976, -78, 16, 1], 1]], 'hecke_orbit_code': 126100789599931974, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '3654.2.a.bc', 'level': 3654, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67880293
{'hecke_orbit_code': 126100789599931974, 'n': 1, 'trace_an': 3}
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id: 67880294
{'hecke_orbit_code': 126100789599931974, 'n': 2, 'trace_an': 3}
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id: 67880295
{'hecke_orbit_code': 126100789599931974, 'n': 3, 'trace_an': 0}
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id: 67880296
{'hecke_orbit_code': 126100789599931974, 'n': 4, 'trace_an': 3}
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id: 67880297
{'hecke_orbit_code': 126100789599931974, 'n': 5, 'trace_an': -5}
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