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{'Nk2': 10164, 'analytic_conductor': 20.289987153607346, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [11, -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': [2541, 1, [848, 1816, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': 0, 'hecke_cutters': [[2, [-1, 1, 1]], [5, [1, 3, 1]], [13, [-1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326225901, 'hecke_ring_generator_nbound': 2, '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': '2541.2.a.s', 'level': 2541, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'minimal_twist': '231.2.j.d', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+q^{3}+(-1+\\beta )q^{4}+(-1-\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2541.2.a', 'trace_display': [-1, 2, -3, -2], 'trace_hash': 1888408176481917623, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.826', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.592', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '59.561', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, -1, 2, -1, -3, -1, -2, 0, 2, 4, 0, -1, 2, 1, -3, -3, 4, -1, 0, -1, -2, 0, -2, 0, -3, -1, 2, 1, 0, 4, -16, 9, 0, 3, 3, -1, -4, 0, 2, -5, 1, 1, 2, 0, -3, -4, 1, -3, 2, -6, 4, -1, 13, -1, 0, 0, 0, -15, -15, -1, 16, 3, -2, 4, -3, 0, -14, -7, -2, -4, -6, 0, -3, 22, -3, 0, 0, -1, -15, 12, 2, -13, 12, 1, -1, -1, 0, 0, -15, 4, -2, 6, -16, -18, 0, 9, -34, -1, 0, 9, -14, 3, -12, 0, 3, -4, -36, -1, -5, 0, -4, 3, 8, 0, -2, 15, 2, 15, -4, -5, 0, -13, 1, 13, 12, 1, -1, -25, 2, 4, -9, 0, 0, 2, -3, -10, -24, -4, 15, 1, 1, -7, 0, -3, -15, -21, 2, -18, 15, -6, 31, 0, 4, 0, 19, -1, -19, 0, 13, -11, 2, -1, -17, 12, 0, -6, -21, 0, -24, -2, 0, -1, 27, -15, 3, 0, -15, 10, 0, -1, 4, 1, 16, 10, 26, 3, 0, 17, -2, 0, 24, 4, -28, 17, -3, -1, 14, 0, 5, 15, -14, 32, 0, -7, -14, -9, -2, -3, 0, -4, -24, -9, -6, 23, -3, 0, 16, 25, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0], [0, -1], [1, 0], [-1, 1], [-1, -1], [0, -1], [-1, 0], [-1, 2], [1, 0], [1, 2], [0, 0], [-1, 1], [1, 0], [0, 1], [-1, -1], [0, -3], [3, -2], [0, -1], [0, 0], [0, -1], [-1, 0], [0, 0], [-2, 2], [-1, 2], [-3, 3], [0, -1], [1, 0], [1, -1], [-3, 6], [1, 2], [-9, 2], [5, -1], [0, 0], [2, -1], [1, 1], [-1, 1], [2, -8], [0, 0], [1, 0], [-1, -3], [-2, 5], [0, 1], [1, 0], [0, 0], [-1, -1], [-2, 0], [-3, 7], [0, -3], [1, 0], [-3, 0], [3, -2], [-1, 1], [7, -1], [0, -1], [0, 0], [1, -2], [0, 0], [-6, -3], [-6, -3], [0, -1], [7, 2], [-2, 7], [-1, 0], [1, 2], [-1, -1], [0, 0], [-8, 2], [-5, 3], [-2, 2], [-1, -2], [-5, 4], [-1, 2], [-6, 9], [8, 6], [-3, 3], [0, 0], [0, 0], [0, -1], [-9, 3], [3, 6], [1, 0], [-5, -3], [6, 0], [1, -1], [-1, 1], [0, -1], [-3, 6], [0, 0], [-7, -1], [1, 2], [-1, 0], [4, -2], [-9, 2], [-7, -4], [0, 0], [5, -1], [-17, 0], [0, -1], [0, 0], [6, -3]], 'ap': [[0, -1], [1, 0], [-1, -1], [-1, 0], [0, 0], [1, 0], [3, -2], [0, 0], [-2, 2], [-3, 6], [-9, 2], [2, -8], 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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1], [11, -1]], 20, 6], [[[3, 1], [7, -1], [11, -1]], 15, 8], [[[3, -1], [7, 1], [11, 1]], 16, 3], [[[3, 1], [7, -1], [11, 1]], 12, 5], [[[3, -1], [7, 1], [11, -1]], 10, 5], [[[3, -1], [7, -1], [11, 1]], 8, 3], [[[3, 1], [7, 1], [11, -1]], 15, 10], [[[3, 1], [7, 1], [11, 1]], 12, 4]], 'ALdims': [12, 15, 12, 15, 16, 10, 8, 20], 'Nk2': 10164, 'analytic_conductor': 20.289987153607346, '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': [2541, 1, [848, 1816, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 329, 'dim': 108, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33556973, 'hecke_orbit_dims': [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, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 10, 10], 'label': '2541.2.a', 'level': 2541, 'level_is_prime': False, 'level_is_prime_power': 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-16, 152, -64, 0, -320, -24, 524, -432, 176, -16, -272, -112, -160, 0, 0, -368, -112, 32, 1072, 284, 32, 360, -224, -48, 640, 0, -360, 64, 160, 224, -1192, -208, 48, -24, -1440, 16, 0, -120, -24, 568, 256, 0, -280, -144, 32], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 959505
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2541.2.a.s', 'source_level': 2541, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '231.2.j.d', 'target_level': 231, 'twist_class_label': '231.2.j.d', 'twist_class_level': 231, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 959506
{'conductor': 33, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2541.2.a.s', 'source_level': 2541, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '693.2.m.b', 'target_level': 693, 'twist_class_label': '231.2.j.d', 'twist_class_level': 231, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 959507
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2541.2.a.s', 'source_level': 2541, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2541.2.a.s', 'target_level': 2541, 'twist_class_label': '231.2.j.d', 'twist_class_level': 231, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 959508
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2541.2.a.s', 'source_level': 2541, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2541.2.a.bb', 'target_level': 2541, 'twist_class_label': '231.2.j.d', 'twist_class_level': 231, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 959509
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2541.2.a.s', 'source_level': 2541, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '7623.2.a.ba', 'target_level': 7623, 'twist_class_label': '231.2.j.d', 'twist_class_level': 231, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 959510
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '2541.2.a.s', 'source_level': 2541, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '7623.2.a.bp', 'target_level': 7623, 'twist_class_label': '231.2.j.d', 'twist_class_level': 231, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2717675
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 2}
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id: 2717676
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326225901, 'p': 3}
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id: 2717677
{'charpoly_factorization': [[[1, 3, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 5}
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id: 2717678
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326225901, 'p': 7}
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id: 2717679
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326225901, 'p': 11}
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id: 2717680
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326225901, 'p': 13}
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id: 2717681
{'charpoly_factorization': [[[-1, -4, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 17}
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id: 2717682
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326225901, 'p': 19}
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id: 2717683
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 23}
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id: 2717684
{'charpoly_factorization': [[[-45, 0, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 29}
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id: 2717685
{'charpoly_factorization': [[[59, 16, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 31}
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id: 2717686
{'charpoly_factorization': [[[-76, 4, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 37}
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id: 2717687
{'charpoly_factorization': [[[-31, -1, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 41}
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id: 2717688
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326225901, 'p': 43}
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id: 2717689
{'charpoly_factorization': [[[-61, -1, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 47}
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id: 2717690
{'charpoly_factorization': [[[41, -13, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 53}
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id: 2717691
{'charpoly_factorization': [[[45, 15, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 59}
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id: 2717692
{'charpoly_factorization': [[[59, -16, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 61}
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id: 2717693
{'charpoly_factorization': [[[44, 14, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 67}
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id: 2717694
{'charpoly_factorization': [[[-11, 6, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 71}
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id: 2717695
{'charpoly_factorization': [[[-99, 3, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 73}
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id: 2717696
{'charpoly_factorization': [[[45, 15, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 79}
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id: 2717697
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 81064793326225901, 'p': 83}
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id: 2717698
{'charpoly_factorization': [[[55, 15, 1], 1]], 'hecke_orbit_code': 81064793326225901, 'p': 89}
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id: 2717699
{'charpoly_factorization': [[[17, 1], 2]], 'hecke_orbit_code': 81064793326225901, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '2541.2.a.s', 'level': 2541, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 243906000
{'hecke_orbit_code': 81064793326225901, 'n': 1, 'trace_an': 2}
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id: 243906001
{'hecke_orbit_code': 81064793326225901, 'n': 2, 'trace_an': -1}
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id: 243906002
{'hecke_orbit_code': 81064793326225901, 'n': 3, 'trace_an': 2}
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id: 243906003
{'hecke_orbit_code': 81064793326225901, 'n': 4, 'trace_an': -1}
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id: 243906004
{'hecke_orbit_code': 81064793326225901, 'n': 5, 'trace_an': -3}
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id: 243906005
{'hecke_orbit_code': 81064793326225901, 'n': 6, 'trace_an': -1}
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id: 243906006
{'hecke_orbit_code': 81064793326225901, 'n': 7, 'trace_an': -2}
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id: 243906007
{'hecke_orbit_code': 81064793326225901, 'n': 8, 'trace_an': 0}
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id: 243906008
{'hecke_orbit_code': 81064793326225901, 'n': 9, 'trace_an': 2}
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