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{'Nk2': 4736, 'analytic_conductor': 9.454287599319597, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [37, -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': [1184, 1, [223, 741, 705], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-5, 0, 1]], [5, [2, 1]], [7, [-5, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679890080, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], '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': True, 'label': '1184.2.a.j', 'level': 1184, '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, 37], 'level_radical': 74, 'minimal_twist': '1184.2.a.j', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{3}-2q^{5}+\\beta q^{7}+2q^{9}+\\beta q^{11}+\\cdots', 'related_objects': ['EllipticCurve/2.0.4.1/87616.2/b', 'ModularForm/GL2/ImaginaryQuadratic/2.0.4.1/87616.2/b'], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1184.2.a', 'trace_display': [0, 0, -4, 0], 'trace_hash': 277479957045040424, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_nf • Show schema
Hide schema
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'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '1184.2.a.j', 'level': 1184, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [7, 12, 11, 6], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4], 'ALdims_old': [25, 29, 30, 25], 'Nk2': 4736, 'analytic_conductor': 9.454287599319597, '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': [1184, 1, [223, 741, 705], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 145, 'dim': 36, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33555616, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 8], 'label': '1184.2.a', 'level': 1184, '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, 37], 'level_radical': 74, 'mf_dim': 160, 'mf_new_dim': 36, 'num_forms': 16, 'plus_dim': 13, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 304, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 16, 0, 0, 0, 52, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 16, 0, 0, 0, 52, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -48, 0, 0, 0, -24, 0, 0, 0, 32, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 80, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 16, 0, 0, 0, 24, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -56, 0, 0, 0, -24, 0, 0, 0, -40, 0, 0, 0, -48, 0, 0, 0, -48, 0, 0, 0, 84, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -40, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 92, 0, 0, 0, -8, 0, 0, 0, -136, 0, 0, 0, -32, 0, 0, 0, 88, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, -56, 0, 0, 0, -192, 0, 0, 0, 80, 0, 0, 0, 56, 0, 0, 0, -128, 0, 0, 0, 112, 0, 0, 0, -8, 0, 0, 0, -128, 0, 0, 0, 12, 0, 0, 0, 32, 0, 0, 0, -56, 0, 0, 0, 64, 0, 0, 0, -152, 0, 0, 0, -48, 0, 0, 0, -24, 0, 0, 0, -136, 0, 0, 0, -120, 0, 0, 0, 16, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 80, 0, 0, 0, -184, 0, 0, 0, 48, 0, 0, 0, 12, 0, 0, 0, -96, 0, 0, 0, -104, 0, 0, 0, -152, 0, 0, 0, 56, 0, 0, 0, 144, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, -160, 0, 0, 0, 112, 0, 0, 0, 40, 0, 0, 0, 48, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 96, 0, 0, 0, 120, 0, 0, 0, -96, 0, 0, 0, -8, 0, 0, 0, 136, 0, 0, 0, -20, 0, 0, 0, 80, 0, 0, 0, 8, 0, 0, 0, 128, 0, 0, 0, -24, 0, 0, 0, -64, 0, 0, 0, -136, 0, 0, 0, 272, 0, 0, 0, -144, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, 168, 0, 0, 0, -144, 0, 0, 0, 208, 0, 0, 0, -48, 0, 0, 0, -96, 0, 0, 0, 164, 0, 0, 0, -240, 0, 0, 0, 48, 0, 0, 0, 272, 0, 0, 0, 64, 0, 0, 0, -48, 0, 0, 0, 160, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -104, 0, 0, 0, -176, 0, 0, 0, -24, 0, 0, 0, 144, 0, 0, 0, 72, 0, 0, 0, 88, 0, 0, 0, 112, 0, 0, 0, 16, 0, 0, 0, 176, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 304, 0, 0, 0, 304, 0, 0, 0, 292, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 336, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 240, 0, 0, 0, 192, 0, 0, 0, 192, 0, 0, 0, 224, 0, 0, 0, 80, 0, 0, 0, -72, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, -144, 0, 0, 0, 48, 0, 0, 0, -112, 0, 0, 0, 352, 0, 0, 0, -32, 0, 0, 0, -72, 0, 0, 0, -48, 0, 0, 0, -208, 0, 0, 0, -64, 0, 0, 0, 44, 0, 0, 0, -224, 0, 0, 0, 88, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, -144, 0, 0, 0, 80, 0, 0, 0, 144, 0, 0, 0, -528, 0, 0, 0, 24, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 160, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, -176, 0, 0, 0, -232, 0, 0, 0, -176, 0, 0, 0, -24, 0, 0, 0, -208, 0, 0, 0, 88, 0, 0, 0, -48, 0, 0, 0, -216, 0, 0, 0, 80, 0, 0, 0, 56, 0, 0, 0, -176, 0, 0, 0, -108, 0, 0, 0, 272, 0, 0, 0, -304, 0, 0, 0, -176, 0, 0, 0, 40, 0, 0, 0, 64, 0, 0, 0, -80, 0, 0, 0, 112, 0, 0, 0, 40, 0, 0, 0, 200, 0, 0, 0, -176, 0, 0, 0, -160, 0, 0, 0, -16, 0, 0, 0, -80, 0, 0, 0, -160, 0, 0, 0, 208, 0, 0, 0, 32, 0, 0, 0, -256, 0, 0, 0, -352, 0, 0, 0, -128, 0, 0, 0, -232, 0, 0, 0, 0, 0, 0, 0, 296, 0, 0, 0, -368, 0, 0, 0, -120, 0, 0, 0, -192, 0, 0, 0, -176, 0, 0, 0, 192, 0, 0, 0, -176, 0, 0, 0, 192, 0, 0, 0, 36, 0, 0, 0, -272, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -88, 0, 0, 0, -160, 0, 0, 0, 272, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 668117
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '1184.2.a.j', 'source_level': 1184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1184.2.a.j', 'target_level': 1184, 'twist_class_label': '1184.2.a.j', 'twist_class_level': 1184, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 668118
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '1184.2.a.j', 'source_level': 1184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1184.2.a.j', 'target_level': 1184, 'twist_class_label': '1184.2.a.j', 'twist_class_level': 1184, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 668119
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '1184.2.a.j', 'source_level': 1184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '2368.2.a.w', 'target_level': 2368, 'twist_class_label': '1184.2.a.j', 'twist_class_level': 1184, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 668120
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': True, 'source_label': '1184.2.a.j', 'source_level': 1184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '2368.2.a.w', 'target_level': 2368, 'twist_class_label': '1184.2.a.j', 'twist_class_level': 1184, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1750750
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 2}
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id: 1750751
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 3}
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id: 1750752
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 5}
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id: 1750753
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 7}
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id: 1750754
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 11}
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id: 1750755
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 13}
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id: 1750756
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 17}
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id: 1750757
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 19}
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id: 1750758
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 23}
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id: 1750759
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 29}
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id: 1750760
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 31}
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id: 1750761
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 37}
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id: 1750762
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 41}
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id: 1750763
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 43}
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id: 1750764
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 47}
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id: 1750765
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 53}
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id: 1750766
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 59}
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id: 1750767
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 61}
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id: 1750768
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 67}
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id: 1750769
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 71}
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id: 1750770
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 73}
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id: 1750771
{'charpoly_factorization': [[[-180, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 79}
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id: 1750772
{'charpoly_factorization': [[[-125, 0, 1], 1]], 'hecke_orbit_code': 40532396679890080, 'p': 83}
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id: 1750773
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 89}
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id: 1750774
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 40532396679890080, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '1184.2.a.j', 'level': 1184, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 52380943
{'hecke_orbit_code': 40532396679890080, 'n': 1, 'trace_an': 2}
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id: 52380944
{'hecke_orbit_code': 40532396679890080, 'n': 2, 'trace_an': 0}
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id: 52380945
{'hecke_orbit_code': 40532396679890080, 'n': 3, 'trace_an': 0}
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id: 52380946
{'hecke_orbit_code': 40532396679890080, 'n': 4, 'trace_an': 0}
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id: 52380947
{'hecke_orbit_code': 40532396679890080, 'n': 5, 'trace_an': -4}
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id: 52380948
{'hecke_orbit_code': 40532396679890080, 'n': 6, 'trace_an': 0}
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id: 52380949
{'hecke_orbit_code': 40532396679890080, 'n': 7, 'trace_an': 0}
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id: 52380950
{'hecke_orbit_code': 40532396679890080, 'n': 8, 'trace_an': 0}
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id: 52380951
{'hecke_orbit_code': 40532396679890080, 'n': 9, 'trace_an': 4}
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