# Stored data for newform 81.2.g.a, downloaded from the LMFDB on 20 April 2024. {"label": "81.2.g.a", "space_label": "81.2.g", "level": 81, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 412350414929, "dim": 144, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 27, "char_parity": 1, "char_degree": 18, "char_conductor": 81, "char_orbit_label": "g", "char_is_real": false, "Nk2": 324, "analytic_conductor": 0.6467882563723711, "level_radical": 3, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [81, 27, [2], [1]], "inner_twist_count": 2, "level_primes": [3], "conrey_indexes": [4, 7, 13, 16, 22, 25, 31, 34, 40, 43, 49, 52, 58, 61, 67, 70, 76, 79], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c27", "trace_display": [-18, -18, -18, -18], "traces": [144, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -18, -9, -18, 18, 9, -18, 9, 36, -18, 45, 9, -9, 9, 36, -18, 36, 9, -18, 9, 18, -18, -9, -18, -18, 0, 27, -18, 54, 36, -18, 36, 81, -18, 99, 45, 0, 45, 108, -9, 126, 36, -18, 45, 99, -18, 81, 36, -18, 0, -18, 9, -99, -72, 36, -90, -234, -18, -162, -108, 63, -162, -135, 36, -288, -90, -36, -90, -243, 36, -162, -162, 63, -81, -99, -18, -144, 0, 36, 18, -27, 9, 81, 54, -18, 90, 135, -18, 162, 144, 0, 99, 171, -9, 189, 90, 18, 153, 162, -18, 207, 135, -18, 153, 279, -18, 189, 162, -18, 153, 180, -18, 225, 90, 27, 36, 162, -18, 117, 63, -9, 63, 54, 9, 27, -108, 63, -81, -90, -18, -252, -99, 117, -90, -378, 90, -216, -99, -18, -261, -342, 90, -378, -126, 135, -324, -432, -36, -414, -234, 171, -117, -252, 90, -360, -234, -18, -99, -234, 90, -288, -99, 117, -90, -144, -18, -81, -108, 63, -54, -54, 9, 144, 144, -9, 180, 297, -18, 288, 234, 45, 198, 297, -18, 387, 234, -18, 243, 378, -18, 279, 279, 54, 243, 360, -18, 423, 171, -54, 198, 45, -9, 9, 144, -198, 54, 99, -180, -36, -9, 63, 126, -189, -180, -162, 0, -342, -36, 72, 63, -189, -36, -342, 72, -360, -180, 36, -108, -36, -108, -63, -180, -324, 18, -342, -90, -18, 63, 90, -18, -342, -54, -99, -180, 36, 18, 63, -54, -36, -135, 198, 117, -216, 144, 234, -9, 261, 171, -72, 288, 504, -18, 387, 189, 72, 234, 414, -18, 477, 243, 81, 270, 522, -18, 315, 90, 63, -45, 54, 90, 81, -81, -9, -135, -153, 144, -162, -207, 198, -378, -342, -18, -207, -342, 252, -261, -180, 171, -540, -450, -18, -342, -270, 198, -468, -387, 216, -162, -387, -36, -468, -144, 180, -405, -432, 198, -207, -378, -18, -504, -288, 171, -279, -270, 252, -315, -270, -18, -72, -306, 198, -72, 0, 144, -99, -72, -9, 18, 63, 90, 81, 54, 63, 72, 549, -18, 495, 315, 225, 306, 360, 9, 450, 90, -18, 135, 198, 63, 243, 144, 162, 45, 171, -9, 45, 63, 144, -27, -45, 180, 54, -81, -18, -72, 9, 90, -189, 27, 198, 108, -108, -18, 144, -18, 162, 36, 90, 117, -270, 162, -36, 54, -270, 117, 108, 126, 252, 54, -63, -18, -9, 0, 198, 90, 36, 90, -198, 117, 54, 180, 270, 117, -90, 54, 162, 297, 0, -9, 144, 306, 180, 153, 117, 63, 540, 351, 135, 234, 189, -99, 315, 225, -144, 126, 171, 63, -171, 135, -450, 171, 198, -342, 18, -54, -9, 162, -333, -342, -72, 27, -612, -135, -81, 144, -369, 108, -720, -126, -387, -396, -225, -324, 225, -180, -396, -342, -531, -180, -810, -144, -324, -36, -126, -225, -774, -207, -531, -342, -423, -9, 225, -279, -396, -396, 63, -36, -720, 171, -90, 144, -144, -45, -612, -27, -18, -342, -135, 234, -9, 72, 189, -342, 162, 45, -270, 153, -18, 63, 63, 153, -180, 126, 234, -45, 153, 36, 153, 450, 351, 162, -27, 225, 162, 180, 216, -9, 270, 252, 288, 198, 135, 90, 270, 333, 72, -63, -45, 117, 486, 216, 306, 234, 279, -18, -81, 18, 198, 171, 63, 171, 108, 252, -36, 306, 306, 171, 261, 99, 72, 99, -126, -18, 225, 252, 306, 198, 414, 216, -27, 54, -18, 72, 369, 90, 153, -135, 270, 117, 306, -9, 72, 63, 351, -36, -45, 198, 144, -243, -18, -171, -234, 225, -261, -126, 360, -342, -171, -18, 126, -306, 477, -225, -315, 252, -81, -18, -9, -558, 252, 306, -351, -288, 387, -27, -315, -18, 234, -594, 333, -459, 252, 306, -576, -450, -162, -117, -27, 360, -27, -567, 324, -594, -378, -36, -351, -486, 288, -621, -234, 360, 81, -18, -18, -423, -126, 306, 99, -567, 333, -351, 45, -18, -261, 9, 432, -162, 315, 306, -117, -531, 144, -261, -396, 144, -45, -171, 63, -360, -117, -180, -54, -369, -126, -270, -108, -72, -9, -189, -342, -243, -108, -153, 81, 18, -423, 108, 720, 72, 252, 225, -450, 360, 99, -288, 270, 369, -504, 396, 558, -333, 396, 225, -450, 324, 198, -342, 477, 315, -774, 252, 360, -234, 540, 81, -36, 90, 243, -234, 405, 360, -774, 540, 216, -342, 351, 495, -324, 99, 423, -450, 495, 396, -504, 504, 261, -288, 387, 324, -198, 207, -144, 72, 135, -90, -441, 18, 27, -9, -666, -36, -342, -63, -153, -18, -342, -189, -45, -27, -324, -180, -549, -81, 171, 0, -252, 90, -378, -216, 162, 135, -108, 252, -45, -207, 495, -81, 18, -18, -252, 243, 468, -180, -540, 252, -207, 288, -18, -234, -540, 216, -36, 27, 459, -108, -405, -36, -207, -117, 495, -27, 234, 306, -594, -153, -198, 306, -693, 252, -495, 63, 468, 117, -27, -18, -108, 117, 729, -153, -270, 306, 9, -153, -9, -288, -180, 279, -855, -9, 603, -99, -576, -18, -423, -99, 522, 153, -1008, 333, -504, 108, 54, -162, -153, 279, -135, 99, 459, 135, -189, -9, 315, -45, 594, 432, 612, 117, -81, 486, -18, 549, 819, 198, 504, 423, 360, 414, 126, -18, 333, 585, 225, 261, 45, 198, 1044, 378, -36, 441, 585, 198, 468, 360, 225, 405, 666, 135, -9, 657, 414, 459, 585, 198, 675, 279, 216, 396, -225, -45, 288, 81, -54, -270, 486, -9, -18, -288, -288, -81, -126, -423, -711, -216, 225, -387, -450, -531, -360, -468, -531, -216, -558, 225, -27, -45, -783, -540, 54, -585, -9, -612, -9, -369, 252, -612, -198, -270, -621, 81, -189, 306, -135, -369, -882, -198, 54, -990, 459, 243, 387, -342, -603, -666, 288, 81, -1188, -558, 675, -36, 243, -396, -1224, 0, -315, -666, 198, -603, 387, 171, 360, -990, -261, -45, -648, -297, 0, 306, -27, -234, -828, -333, -522, -585, -405, -333, -9], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": true, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 81, 7, 1, 27, 0]], "char_orbit_index": 7, "prim_orbit_index": 7, "minimal_twist": "81.2.g.a", "char_is_minimal": true, "conrey_index": 4, "id": null, "is_polredabs": null, "nf_label": null, "trace_hash": null, "qexp_display": null, "fricke_eigenval": null, "atkin_lehner_string": null, "hecke_ring_index": null, "projective_image": null, "projective_image_type": null, "field_poly_is_cyclotomic": null, "field_poly_root_of_unity": null, "artin_degree": null, "artin_image": null, "field_poly_is_real_cyclotomic": null, "artin_field_label": null, "projective_field_label": null, "hecke_ring_index_proved": null, "trace_zratio": null, "hecke_ring_generator_nbound": null, "field_disc": null, "field_disc_factorization": null, "field_poly": null, "hecke_ring_index_factorization": null, "trace_moments": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null}