# Stored data for newform 177.6.d.b, downloaded from the LMFDB on 03 March 2021.
{"level_primes": [3, 59], "sato_tate_group": "5.2.3.c2", "rm_discs": [], "conrey_indexes": [176], "cm_discs": [], "level_radical": 177, "self_twist_type": 0, "related_objects": [], "prim_orbit_index": 4, "is_cm": false, "hecke_orbit": 2, "analytic_conductor": 28.387936106897573, "inner_twist_count": 4, "is_rm": false, "char_order": 2, "level_is_square": false, "weight_parity": 1, "label": "177.6.d.b", "is_self_twist": false, "is_twist_minimal": true, "minimal_twist": "177.6.d.b", "dim": 92, "traces": [92, 0, 22, 1724, 0, 0, -80, 0, 2, 0, 0, -1244, 0, 0, 1116, 14724, 0, 0, 1784, 0, 6388, -8140, 0, 0, -48208, 0, -6458, -19092, 0, 0, 0, 0, 0, 0, 0, -20832, 0, 0, 0, 0, 0, 0, 0, 0, -134984, 51180, 0, 61720, 174556, 0, 8332, 0, 0, 0, 0, 0, 236784, 0, 0, 375208, 0, 0, -429890, 561472, 0, -11596, 0, 0, 0, 0, 0, 0, 0, 0, 169948, 111488, 0, 356264, 180260, 0, 79554, 0, 0, 269308, 111028, 0, -318764, -1242976, 0, 0, 0, 0, 0, -513608, 0, 0, 0, 0, 0, -2511736, 0, 0, 0, 0, 479816, 0, 0, -1766244, 0, 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"char_orbit_label": "d", "weight": 6, "trace_display": [0, 22, 0, -80], "analytic_rank_proved": true, "char_parity": 1, "level_is_squarefree": true, "level_is_prime": false, "char_is_minimal": true, "self_twist_discs": [], "char_is_real": true, "level_is_prime_power": false, "relative_dim": 92, "hecke_cutters": [[2, [-21210491329850687920780704409976832, 0, 38435920472445722064241592887148544, 0, -28723217150273795601133743240118272, 0, 11994255475588228955238012121251840, 0, -3180119420046943646637143320166400, 0, 576025215852304804289349445484544, 0, -74858585668298567261185717370880, 0, 7229697342553982680813989789696, 0, -532584727539581742091083433984, 0, 30514795492071880013074198528, 0, -1379693841946313357139069568, 0, 49747491184294130301283072, 0, -1440722487728934306390360, 0, 33651444748571279879684, 0, -634707372577695337814, 0, 9649637842069917875, 0, -117640875055715061, 0, 1139311986806784, 0, -8635105551283, 0, 50049221944, 0, -213934715, 0, 634864, 0, -1167, 0, 1]]], "space_label": "177.6.d", "level": 177, "is_self_dual": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 59, 2, -1, 2, 0], [1, 1, 177, 4, 1, 2, 0]], "char_degree": 1, "char_conductor": 177, "char_orbit_index": 4, "hecke_orbit_code": 4503805886464177, "id": null, "is_polredabs": null, "trace_hash": null, "projective_field": null, "hecke_ring_index_proved": null, "embedded_related_objects": null, "field_disc_factorization": null, "field_poly_is_real_cyclotomic": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "trace_zratio": null, "hecke_ring_index_factorization": null, "artin_image": null, "nf_label": null, "field_poly": null, "atkin_lehner_string": null, "atkin_lehner_eigenvals": null, "field_poly_root_of_unity": null, "hecke_ring_index": null, "artin_field": null, "qexp_display": null, "field_disc": null, "hecke_ring_generator_nbound": null, "projective_image": null, "artin_field_label": null, "projective_field_label": null, "fricke_eigenval": null, "trace_moments": null, "artin_degree": null}