# Stored data for newform 10.26.b.a, downloaded from the LMFDB on 12 May 2025.
{"Nk2": 6760, "analytic_conductor": 39.599677995224326, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 5, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 2, "char_orbit_label": "b", "char_order": 2, "char_parity": 1, "char_values": [10, 2, [7], [1]], "cm_discs": [], "conrey_index": 9, "dim": 12, "field_disc": 52907887940255142113222444079658546443701284480285962480503267224377301292294114638078143548247112465976277440436407209984, "field_disc_factorization": [[2, 12], [11, 2], [337, 2], [4898317, 2], [183239530742322589, 2], [34157933920053344760004247829047, 2]], "field_poly": [562442837480837791206109989109268286491448310078170789537309341601, 0, 213559114414440049199738916498397853721503585895983619294, 0, 14727031184488621294308896513370084274619782815, 0, 163583579306250445630287276512319780, 0, 721371039010841274826815, 0, 1406300109694, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [], "hecke_orbit": 1, "hecke_orbit_code": 69155684362, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 1512863598345104601907200000000000000000000000000000, "hecke_ring_index_factorization": [[2, 90], [3, 8], [5, 29]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], "is_cm": false, "is_largest": true, "is_maximal": true, "is_polredabs": false, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": true, "label": "10.26.b.a", "level": 10, "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": true, "level_primes": [2, 5], "level_radical": 10, "minimal_twist": "10.26.b.a", "prim_orbit_index": 2, "qexp_display": "q+\\beta _{2}q^{2}+(33\\beta _{2}+\\beta _{3})q^{3}-2^{24}q^{4}+\\cdots", "related_objects": [], "relative_dim": 12, "rm_discs": [], "sato_tate_group": "25.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "10.26.b", "trace_display": [0, 0, -490295340, 0], "trace_hash": 488805555918268474, "trace_moments": [{"__RealLiteral__": 0, "data": "0.068", "prec": 17}, {"__RealLiteral__": 0, "data": "10.508", "prec": 20}, {"__RealLiteral__": 0, "data": "3.349", "prec": 17}, {"__RealLiteral__": 0, "data": "650.391", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61557.764", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.507", "prec": 17}, "traces": [0, 12, 0, 0, -201326592, -490295340, -6565199872, 0, 0, -1082937564236, 1636528619520, 19723089228624, 0, 0, 278591122243584, -449884766537680, 3377699720527872, 0, 0, -4015312977833040, 8225790822973440, -56363420582029456, 0, 0, 110145776335716352, -1047554086248996900, -252210272532037632, 0, 0, 5852064063311009640, -3747916483574824960, 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