# Stored data for newform 10.17.c.a, downloaded from the LMFDB on 20 April 2024.
{"label": "10.17.c.a", "space_label": "10.17.c", "level": 10, "weight": 17, "hecke_orbit": 1, "hecke_orbit_code": 137724166154, "dim": 8, "is_polredabs": true, "trace_hash": 2157899004856236827, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [185461686672003114035015693376, 277157071114758628575602976, 207094099723043636961288, 77347597002920927640, 14452891353582516, 16125068520, 14482962, 5382, 1]]], "qexp_display": "q+(-2^{7}+2^{7}\\beta _{1})q^{2}+(-673-673\\beta _{1}+\\cdots)q^{3}+\\cdots", "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 5, "char_orbit_label": "c", "char_is_real": false, "Nk2": 2890, "analytic_conductor": 16.232454385662717, "hecke_ring_index": 13122000000000000, "level_radical": 10, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.246", "prec": 17}, "analytic_rank_proved": true, "char_values": [10, 4, [7], [3]], "hecke_ring_generator_nbound": 9, "inner_twist_count": 2, "level_primes": [2, 5], "conrey_indexes": [3, 7], "field_disc": 65253997194436235260588921364848896, "field_disc_factorization": [[2, 8], [3, 2], [107, 2], [2647, 2], [18789905833, 2]], "field_poly": [7763945882921536, -635609377818800, 26017651801250, -386278388950, 3043721913, -7213550, 0, 0, 1], "hecke_ring_index_factorization": [[2, 13], [3, 8], [5, 12]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.119", "prec": 17}, {"__RealLiteral__": 0, "data": "7.306", "prec": 17}, {"__RealLiteral__": 0, "data": "8.625", "prec": 17}, {"__RealLiteral__": 0, "data": "199.455", "prec": 24}, {"__RealLiteral__": 0, "data": "615.214", "prec": 24}, {"__RealLiteral__": 0, "data": "9200.484", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, 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