# Stored data for newform 10.17.c.b, downloaded from the LMFDB on 25 April 2024.
{"label": "10.17.c.b", "space_label": "10.17.c", "level": 10, "weight": 17, "hecke_orbit": 2, "hecke_orbit_code": 4503737351536650, "dim": 8, "is_polredabs": true, "trace_hash": 286274378796422329, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [911755140244797000661908780096, -332856466444222159462124256, 60758323349834190016008, 7660664158815198360, 647364564055476, -179232208920, 54475922, 10438, 1]]], "qexp_display": "q+(2^{7}+2^{7}\\beta _{1})q^{2}+(-1305+1305\\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": 3600000000000, "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": 43002803152913951106103118539351989125376, "field_disc_factorization": [[2, 8], [3, 2], [4320232758853909013, 2]], "field_poly": [514279003991950266624, 0, 58849481441870112, 0, 548432140705, 0, 1418558, 0, 1], "hecke_ring_index_factorization": [[2, 13], [3, 2], [5, 11]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.039", "prec": 17}, {"__RealLiteral__": 0, "data": "7.620", "prec": 17}, {"__RealLiteral__": 0, "data": "1.364", "prec": 17}, {"__RealLiteral__": 0, "data": "223.124", "prec": 24}, {"__RealLiteral__": 0, "data": "19.928", "prec": 20}, {"__RealLiteral__": 0, "data": "10112.494", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": 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