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{'Nk2': 10952, 'analytic_conductor': 21.863040073426568, 'analytic_rank': 0, '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': [2738, 1, [1371], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 6, 'field_disc': 37902897, 'field_disc_factorization': [[3, 8], [53, 1], [109, 1]], 'field_poly': [-64, 0, 60, -1, -15, 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, [-64, 0, 60, 1, -15, 0, 1]], [5, [1, -3, 0, 1]], [7, [-64, -48, 168, -37, -24, 3, 1]], [13, [-719, 183, 324, -43, -42, 0, 1]], [17, [163, -390, 120, 69, -24, -3, 1]]], 'hecke_orbit': 20, 'hecke_orbit_code': 85568392953596594, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2738.2.a.t', 'level': 2738, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.f.b', 'nf_label': '6.6.37902897.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+q^{4}+\\beta _{3}q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2738.2.a', 'trace_display': [6, 0, 0, -3], 'trace_hash': 727376721928809678, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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0, 8], [-14, -8, 15, -5, 18, 11], [8, -8, 24, -22, 2, -6], [-16, 5, 6, -3, 0, 9], [-17, 18, 3, -16, 7, 0], [-8, 12, -13, 21, -4, -11], [-9, 17, -7, 17, 7, -3], [-9, 13, -6, 13, -9, -2], [21, -3, -8, 1, -15, -15], [-22, 5, -15, 13, 2, 21], [0, 4, 40, -31, 9, 1], [5, -1, 30, -25, -3, -8], [-49, -10, -7, 34, 7, 14], [-16, -4, 38, 6, -4, -2], [9, 10, 15, 23, 2, -1], [-1, -20, 10, 1, 11, 13], [-28, 9, -10, 13, 0, -3], [21, -9, 30, 8, 14, 8], [26, 4, 29, -31, 2, -7], [-8, -2, -51, 19, -8, 3], [0, 5, 11, 5, -12, -14], [-30, 2, -21, 0, -5, 12], [-2, 20, 16, -22, -2, 2], [-20, -4, -22, 16, 2, 0], [4, 5, -9, 29, 4, -7], [-24, -11, 16, -20, 4, 8]], 'char_orbit_index': 1, 'field_poly': [-64, 0, 60, -1, -15, 0, 1], 'hecke_orbit_code': 85568392953596594, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 16, 4, 16, 16], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [5, 0, 0, 1, 1, 1], [1, 6, 5, 0, 1, 0], [35, 1, 0, 15, 11, 11], [20, 46, 59, 1, 16, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, -44, 1, 15, 0, -1], [20, -1, -11, 0, 1, 0], [-16, 124, -5, -59, 0, 5], [-144, -120, 65, 59, -4, -5]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 6, 'label': '2738.2.a.t', 'level': 2738, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, -1], [37, -1]], 21, 5], [[[2, 1], [37, -1]], 30, 5], [[[2, -1], [37, 1]], 34, 7], [[[2, 1], [37, 1]], 25, 7]], 'ALdims': [25, 30, 34, 21], 'Nk2': 10952, 'analytic_conductor': 21.863040073426568, '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': [2738, 1, [1371], [1]], 'conrey_index': 1, 'cusp_dim': 314, 'dim': 110, 'eis_dim': 75, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 13, 17], 'hecke_orbit_code': 33557170, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 6, 6, 6, 9, 9, 18, 18], 'label': '2738.2.a', 'level': 2738, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 37], 'level_radical': 74, 'mf_dim': 389, 'mf_new_dim': 110, 'num_forms': 24, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 703, 'trace_bound': 7, 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mf_twists_nf • Show schema
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id: 993059
{'conductor': 37, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2738.2.a.t', 'source_level': 2738, 'target_char_orbit': 6, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '74.2.f.b', 'target_level': 74, 'twist_class_label': '74.2.f.b', 'twist_class_level': 74, 'twisting_char_label': '37.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 993060
{'conductor': 148, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2738.2.a.t', 'source_level': 2738, 'target_char_orbit': 29, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '592.2.bc.d', 'target_level': 592, 'twist_class_label': '74.2.f.b', 'twist_class_level': 74, 'twisting_char_label': '148.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 993061
{'conductor': 111, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2738.2.a.t', 'source_level': 2738, 'target_char_orbit': 24, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '666.2.x.g', 'target_level': 666, 'twist_class_label': '74.2.f.b', 'twist_class_level': 74, 'twisting_char_label': '111.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 993062
{'conductor': 37, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2738.2.a.t', 'source_level': 2738, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '2738.2.a.q', 'target_level': 2738, 'twist_class_label': '74.2.f.b', 'twist_class_level': 74, 'twisting_char_label': '37.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 993063
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 6, 'source_hecke_orbit': 20, 'source_is_minimal': False, 'source_label': '2738.2.a.t', 'source_level': 2738, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2738.2.a.t', 'target_level': 2738, 'twist_class_label': '74.2.f.b', 'twist_class_level': 74, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2826500
{'charpoly_factorization': [[[-1, 1], 6]], 'hecke_orbit_code': 85568392953596594, 'p': 2}
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id: 2826501
{'charpoly_factorization': [[[-64, 0, 60, 1, -15, 0, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 3}
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id: 2826502
{'charpoly_factorization': [[[1, -3, 0, 1], 2]], 'hecke_orbit_code': 85568392953596594, 'p': 5}
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id: 2826503
{'charpoly_factorization': [[[-64, -48, 168, -37, -24, 3, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 7}
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id: 2826504
{'charpoly_factorization': [[[-64, 96, 132, -37, -24, 3, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 11}
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id: 2826505
{'charpoly_factorization': [[[-719, 183, 324, -43, -42, 0, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 13}
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id: 2826506
{'charpoly_factorization': [[[163, -390, 120, 69, -24, -3, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 17}
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id: 2826507
{'charpoly_factorization': [[[64, 672, 228, -453, 156, -21, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 19}
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id: 2826508
{'charpoly_factorization': [[[64, 288, 12, -335, 144, -21, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 23}
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id: 2826509
{'charpoly_factorization': [[[37, -228, 309, -84, -24, 6, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 29}
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id: 2826510
{'charpoly_factorization': [[[130112, -36192, -6252, 1717, 24, -21, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 31}
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id: 2826511
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 85568392953596594, 'p': 37}
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id: 2826512
{'charpoly_factorization': [[[21608, 6360, -9882, 1975, -27, -18, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 41}
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id: 2826513
{'charpoly_factorization': [[[8704, 2880, -3744, 639, 51, -18, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 43}
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id: 2826514
{'charpoly_factorization': [[[-83008, 29088, 6252, -1025, -141, 9, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 47}
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id: 2826515
{'charpoly_factorization': [[[17, -225, 474, -361, 120, -18, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 53}
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id: 2826516
{'charpoly_factorization': [[[1088, -3360, 3180, -1339, 276, -27, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 59}
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id: 2826517
{'charpoly_factorization': [[[52928, 29664, -7476, -1699, 69, 24, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 61}
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id: 2826518
{'charpoly_factorization': [[[-512, 1728, 3120, 927, -144, -9, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 67}
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id: 2826519
{'charpoly_factorization': [[[-512, 1152, 1536, 72, -108, 0, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 71}
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id: 2826520
{'charpoly_factorization': [[[216289, 14274, -22314, 2493, 108, -27, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 73}
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id: 2826521
{'charpoly_factorization': [[[9792, -2160, -2808, 741, 63, -21, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 79}
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id: 2826522
{'charpoly_factorization': [[[1088, -3216, 3144, -1339, 276, -27, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 83}
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id: 2826523
{'charpoly_factorization': [[[-219419, 89013, 2025, -2769, -75, 21, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 89}
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id: 2826524
{'charpoly_factorization': [[[2744, 5880, 630, -2165, 549, -42, 1], 1]], 'hecke_orbit_code': 85568392953596594, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 20, 'label': '2738.2.a.t', 'level': 2738, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 246594000
{'hecke_orbit_code': 85568392953596594, 'n': 1, 'trace_an': 6}
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id: 246594001
{'hecke_orbit_code': 85568392953596594, 'n': 2, 'trace_an': 6}
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id: 246594002
{'hecke_orbit_code': 85568392953596594, 'n': 3, 'trace_an': 0}
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id: 246594003
{'hecke_orbit_code': 85568392953596594, 'n': 4, 'trace_an': 6}
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id: 246594004
{'hecke_orbit_code': 85568392953596594, 'n': 5, 'trace_an': 0}
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id: 246594005
{'hecke_orbit_code': 85568392953596594, 'n': 6, 'trace_an': 0}
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id: 246594006
{'hecke_orbit_code': 85568392953596594, 'n': 7, 'trace_an': -3}
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id: 246594007
{'hecke_orbit_code': 85568392953596594, 'n': 8, 'trace_an': 6}
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id: 246594008
{'hecke_orbit_code': 85568392953596594, 'n': 9, 'trace_an': 12}
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id: 246594009
{'hecke_orbit_code': 85568392953596594, 'n': 10, 'trace_an': 0}
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id: 246594010
{'hecke_orbit_code': 85568392953596594, 'n': 11, 'trace_an': -3}
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