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{'Nk2': 5700, 'analytic_conductor': 11.378682288032454, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [19, 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': [1425, 1, [476, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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': [[2, [-1, -3, 1, 1]], [7, [10, 18, 8, 1]], [11, [2, 8, -6, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326224785, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1425.2.a.s', 'level': 1425, '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': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '285.2.c.a', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+q^{3}+(\\beta _{1}+\\beta _{2})q^{4}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1425.2.a', 'trace_display': [-1, 3, 0, -8], 'trace_hash': 1974798664748360875, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.941', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.027', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '296.350', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [3, -1, 3, 1, 0, -1, -8, -3, 3, 0, 6, 1, -4, -4, 0, -3, -8, -1, -3, 0, -8, 0, -14, -3, 0, 4, 3, 2, -2, 0, -8, 3, 6, -6, 0, 1, -6, 1, -4, 0, 10, -4, -6, 8, 0, -4, -22, -3, 7, 0, -8, -18, -8, -1, 0, 10, -3, 16, -6, 0, -10, -2, -8, -11, 0, 0, -6, -4, -14, 0, -6, -3, -10, 22, 0, -1, -18, 4, 4, 0, 3, -32, 2, 2, 0, 30, -2, -14, 16, 0, 8, -6, -8, 16, 0, 3, 0, 33, 6, 0, 16, -6, -12, 18, 0, 6, 20, 1, -38, 0, -6, 12, -4, 1, 0, -4, -4, -34, 30, 0, -13, 0, 10, 8, 0, -4, 18, 33, -6, 0, 8, 8, 8, -6, 0, 18, 6, -4, 16, 0, -22, 2, -22, -3, 0, 2, 7, -16, -6, 0, -32, 3, -8, -20, 0, -18, 18, 12, -8, 0, 46, -1, -16, 16, 0, -32, -30, 10, -3, 0, -3, 8, -4, 16, 0, -22, -6, 38, -26, 0, -22, 14, -10, 24, 0, -2, -26, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [0, -1, 0], [1, 0, 0], [0, 1, 1], [0, 0, 0], [0, -1, 0], [-3, 1, 0], [-1, 0, -1], [1, 0, 0], [0, 0, 0], [2, 0, 1], [0, 1, 1], [-1, -1, -2], [-2, 2, -1], [0, 0, 0], [-1, 0, -2], [-3, 1, -1], [0, -1, 0], [-1, 0, 0], [0, 0, 0], [-3, 1, 0], [1, -3, 0], [-5, 1, -1], [-1, 0, -1], [0, 0, 0], [0, 4, 1], [1, 0, 0], [1, -1, -2], [0, -2, 1], [0, 0, 0], [-3, 1, 1], [0, 3, 2], [2, 0, 1], [-3, 3, -1], [0, 0, 0], [0, 1, 1], [-1, -3, 0], [0, 1, 0], [-1, -1, -2], [0, 0, 0], [2, 4, -1], [-2, 2, -1], [-1, -3, 4], [2, 2, 1], [0, 0, 0], [-3, 5, -1], [-7, -1, 1], [-1, 0, -2], [4, -5, 1], [0, 0, 0], [-3, 1, -1], [-5, -3, 0], [-3, 1, 5], [0, -1, 0], [0, 0, 0], [4, -2, 3], [-1, 0, 0], [5, 1, 2], [-4, 6, 2], [0, 0, 0], [-3, -1, -5], [-1, 1, -1], [-3, 1, 0], [-2, -5, 1], [0, 0, 0], [1, -3, 0], [-2, 0, -4], [-1, -1, -1], [-5, 1, -1], [0, 0, 0], [-2, 0, 0], [-1, 0, -1], [-4, 2, 6], [6, 4, 3], [0, 0, 0], [0, -1, -1], [-7, 3, -3], [0, 4, 1], [2, -2, 0], [0, 0, 0], [1, 0, 0], [-9, -5, -4], [-1, 5, 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4], [28, 20, 4], [34, -4, 16], [-10, -24, 16], [60, 6, -8], [-30, 24, -8], [16, 14, -20], [-26, -10, 22], [12, -24, -35], [-23, 11, -32], [3, -31, -37], [-78, 6, 10], [1, -3, 26], [-45, 7, 11], [10, 34, -20], [-66, 40, 24], [-12, 16, -12], [-56, 14, 15]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 81064793326224785, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '1425.2.a.s', 'level': 1425, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 7, 7, 9, 9, 4, 5, 11], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [16, 17, 19, 14, 17, 19, 16, 13], 'Nk2': 5700, 'analytic_conductor': 11.378682288032454, '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': [1425, 1, [476, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 189, 'dim': 58, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33555857, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 7, 7], 'label': '1425.2.a', 'level': 1425, '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': [3, 5, 19], 'level_radical': 285, 'mf_dim': 212, 'mf_new_dim': 58, 'num_forms': 26, 'plus_dim': 24, 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mf_twists_nf • Show schema
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id: 730821
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1425.2.a.s', 'source_level': 1425, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '285.2.c.a', 'target_level': 285, 'twist_class_label': '285.2.c.a', 'twist_class_level': 285, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 730822
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1425.2.a.s', 'source_level': 1425, 'target_char_orbit': 3, 'target_dim': 6, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '855.2.c.e', 'target_level': 855, 'twist_class_label': '285.2.c.a', 'twist_class_level': 285, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 730823
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1425.2.a.s', 'source_level': 1425, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1425.2.a.s', 'target_level': 1425, 'twist_class_label': '285.2.c.a', 'twist_class_level': 285, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 730824
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1425.2.a.s', 'source_level': 1425, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '1425.2.a.x', 'target_level': 1425, 'twist_class_label': '285.2.c.a', 'twist_class_level': 285, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 730825
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1425.2.a.s', 'source_level': 1425, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '4275.2.a.bd', 'target_level': 4275, 'twist_class_label': '285.2.c.a', 'twist_class_level': 285, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 730826
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '1425.2.a.s', 'source_level': 1425, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '4275.2.a.bi', 'target_level': 4275, 'twist_class_label': '285.2.c.a', 'twist_class_level': 285, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1938700
{'charpoly_factorization': [[[-1, -3, 1, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 2}
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id: 1938701
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 81064793326224785, 'p': 3}
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id: 1938702
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 81064793326224785, 'p': 5}
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id: 1938703
{'charpoly_factorization': [[[10, 18, 8, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 7}
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id: 1938704
{'charpoly_factorization': [[[2, 8, -6, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 11}
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id: 1938705
{'charpoly_factorization': [[[-38, -10, 4, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 13}
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id: 1938706
{'charpoly_factorization': [[[4, 12, 8, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 17}
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id: 1938707
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 81064793326224785, 'p': 19}
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id: 1938708
{'charpoly_factorization': [[[68, 56, 14, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 23}
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id: 1938709
{'charpoly_factorization': [[[-50, -20, 2, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 29}
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id: 1938710
{'charpoly_factorization': [[[4, 16, 8, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 31}
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id: 1938711
{'charpoly_factorization': [[[-50, -18, 6, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 37}
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id: 1938712
{'charpoly_factorization': [[[310, -32, -10, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 41}
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id: 1938713
{'charpoly_factorization': [[[-586, -106, 6, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 43}
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id: 1938714
{'charpoly_factorization': [[[316, 152, 22, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 47}
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id: 1938715
{'charpoly_factorization': [[[100, -72, 8, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 53}
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id: 1938716
{'charpoly_factorization': [[[-632, -100, 6, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 59}
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id: 1938717
{'charpoly_factorization': [[[-604, -60, 10, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 61}
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id: 1938718
{'charpoly_factorization': [[[-248, -52, 6, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 67}
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id: 1938719
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 81064793326224785, 'p': 71}
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id: 1938720
{'charpoly_factorization': [[[184, -100, 10, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 73}
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id: 1938721
{'charpoly_factorization': [[[16, -8, -4, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 79}
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id: 1938722
{'charpoly_factorization': [[[-116, -76, -2, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 83}
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id: 1938723
{'charpoly_factorization': [[[2294, -148, -16, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 89}
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id: 1938724
{'charpoly_factorization': [[[-1630, -262, 0, 1], 1]], 'hecke_orbit_code': 81064793326224785, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1425.2.a.s', 'level': 1425, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62876641
{'hecke_orbit_code': 81064793326224785, 'n': 1, 'trace_an': 3}
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id: 62876642
{'hecke_orbit_code': 81064793326224785, 'n': 2, 'trace_an': -1}
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id: 62876643
{'hecke_orbit_code': 81064793326224785, 'n': 3, 'trace_an': 3}
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id: 62876644
{'hecke_orbit_code': 81064793326224785, 'n': 4, 'trace_an': 1}
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id: 62876645
{'hecke_orbit_code': 81064793326224785, 'n': 5, 'trace_an': 0}
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id: 62876646
{'hecke_orbit_code': 81064793326224785, 'n': 6, 'trace_an': -1}
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id: 62876647
{'hecke_orbit_code': 81064793326224785, 'n': 7, 'trace_an': -8}
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id: 62876648
{'hecke_orbit_code': 81064793326224785, 'n': 8, 'trace_an': -3}
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id: 62876649
{'hecke_orbit_code': 81064793326224785, 'n': 9, 'trace_an': 3}
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id: 62876650
{'hecke_orbit_code': 81064793326224785, 'n': 10, 'trace_an': 0}
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id: 62876651
{'hecke_orbit_code': 81064793326224785, 'n': 11, 'trace_an': 6}
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id: 62876652
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