# Stored data for newform 168.2.v.a, downloaded from the LMFDB on 19 April 2024.
{"label": "168.2.v.a", "space_label": "168.2.v", "level": 168, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 1443142566056, "dim": 56, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [], "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 168, "char_orbit_label": "v", "char_is_real": false, "Nk2": 672, "analytic_conductor": 1.3414867539575104, "level_radical": 42, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "analytic_rank_proved": true, "char_values": [168, 6, [127, 85, 113, 73], [3, 3, 3, 4]], "inner_twist_count": 8, "level_primes": [2, 3, 7], "conrey_indexes": [11, 107], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 28, "sato_tate_group": "1.2.3.c6", "trace_display": [0, -2, 0, 0], "traces": [56, 0, -2, -2, 0, -8, 0, 0, -2, 6, 0, 10, 0, 0, 0, -10, 0, -10, -4, 0, 0, -20, 0, -8, -16, 0, -8, -22, 0, -12, 0, 0, -14, -56, 0, 4, 0, 0, 0, 14, 0, -8, -16, 0, 0, -12, 0, 64, -16, 0, -34, -8, 0, 32, 0, 0, 4, -18, 0, 40, 0, 0, 0, 4, 0, -20, -36, 0, 0, -42, 0, 22, 4, 0, 0, 104, 0, 28, 0, 0, -10, 52, 0, 4, 0, 0, 0, 46, 0, 140, 72, 0, 0, 0, 0, -46, -32, 0, -44, 40, 0, 44, 0, 0, 36, 12, 0, 0, 0, 0, 0, -52, 0, 24, 68, 0, 0, 148, 0, -68, -24, 0, -36, -66, 0, -14, 0, 0, -24, 100, 0, -188, 0, 0, 0, 36, 0, -54, -16, 0, 0, 48, 0, -62, -40, 0, 82, -144, 0, 20, 0, 0, -44, 22, 0, -32, 0, 0, 0, -180, 0, -104, 68, 0, 0, -22, 0, -32, 40, 0, 78, -88, 0, -228, 0, 0, -14, -24, 0, 60, 0, 0, 0, -44, 0, -82, -68, 0, 0, -56, 0, -28, -28, 0, 104, -12, 0, -80, 0, 0, 18, -256, 0, 92, 0, 0, 0, 120, 0, -4, 48, 0, 0, -134, 0, 292, 12, 0, 106, 26, 0, 66, 0, 0, 80, -28, 0, 128, 0, 0, 0, 12, 0, -26, 84, 0, 0, 76, 0, 62, -52, 0, -2, 256, 0, 164, 0, 0, -4, 114, 0, 6, 0, 0, 0, 142, 0, 232, -164, 0, 0, -82, 0, -90, 8, 0, 68, 132, 0, 154, 0, 0, 56, 232, 0, 60, 0, 0, 0, 72, 0, 76, -148, 0, 0, 360, 0, -160, -40, 0, 48, -28, 0, -14, 0, 0, 4, 128, 0, -376, 0, 0, 0, 48, 0, -128, -144, 0, 0, 2, 0, -164, 20, 0, -214, -140, 0, 10, 0, 0, -36, 80, 0, -54, 0, 0, 0, -304, 0, -64, -100, 0, 0, -180, 0, 4, 32, 0, -148, -128, 0, -404, 0, 0, 26, 28, 0, 98, 0, 0, 0, -134, 0, -178, 8, 0, 0, -56, 0, -16, 48, 0, -216, 144, 0, -78, 0, 0, 104, -520, 0, 152, 0, 0, 0, 140, 0, -50, -208, 0, 0, -200, 0, 420, 80, 0, -144, -94, 0, 158, 0, 0, -84, -152, 0, 150, 0, 0, 0, 368, 0, -66, -16, 0, 0, -144, 0, 106, -36, 0, 22, 432, 0, 208, 0, 0, 16, 4, 0, 26, 0, 0, 0, 110, 0, 464, 180, 0, 0, -32, 0, -172, 32, 0, -240, 24, 0, 150, 0, 0, -98, 104, 0, 30, 0, 0, 0, 166, 0, 152, 192, 0, 0, 492, 0, -100, 60, 0, -48, -268, 0, 0, 0, 0, 102, 156, 0, -424, 0, 0, 0, 38, 0, -188, 560, 0, 0, 156, 0, -220, 184, 0, 296, -112, 0, 82, 0, 0, 84, -60, 0, -108, 0, 0, 0, -660, 0, -72, 188, 0, 0, -202, 0, -70, -88, 0, 254, -262, 0, -516, 0, 0, -24, 84, 0, 200, 0, 0, 0, -136, 0, -200, 20, 0, 0, -360, 0, 2, 72, 0, 284, -32, 0, -106, 0, 0, -38, -468, 0, 204, 0, 0, 0, 32, 0, 56, 160, 0, 0, -208, 0, 572, -180, 0, 190, -104, 0, 162, 0, 0, -236, -44, 0, 220, 0, 0, 0, -48, 0, -54, 100, 0, 0, -76, 0, 122, 36, 0, -26, 516, 0, 168, 0, 0, 16, 298, 0, 118, 0, 0, 0, 120, 0, 516, -376, 0, 0, 116, 0, -184, 96, 0, 276, 126, 0, 220, 0, 0, -204, 88, 0, 72, 0, 0, 0, -250, 0, 134, -324, 0, 0, 600, 0, -104, 52, 0, 150, -280, 0, 80, 0, 0, 0, 242, 0, -640, 0, 0, 0, 162, 0, -184, -320, 0, 0, 84, 0, -262, -108, 0, -398, -424, 0, 68, 0, 0, -4, 204, 0, -188, 0, 0, 0, -516, 0, -308, -288, 0, 0, -48, 0, -20, -144, 0, -352, -178, 0, -508, 0, 0, -54, 170, 0, 202, 0, 0, 0, -136, 0, -220, 164, 0, 0, -16, 0, -144, 48, 0, -468, -112, 0, -92, 0, 0, -126, -648, 0, 188, 0, 0, 0, 340, 0, -50, -112, 0, 0, -264, 0, 640, -188, 0, -222, 32, 0, 170, 0, 0, 136, -200, 0, 190, 0, 0, 0, 192, 0, 2, -116, 0, 0, 278, 0, 80, 44, 0, 132, 552, 0, 208, 0, 0, -92, 280, 0, -72, 0, 0, 0, 436, 0, 684, 308, 0, 0, -200, 0, -176, -96, 0, -372, 242, 0, 204, 0, 0, 132, 560, 0, 52, 0, 0, 0, 182, 0, 150, 372, 0, 0, 724, 0, -240, 32, 0, -110, -8, 0, 174, 0, 0, -214, 204, 0, -616, 0, 0, 0, -16, 0, -196, 400, 0, 0, 16, 0, -220, -232, 0, 532, 144, 0, 64, 0, 0, 112, 54, 0, -182, 0, 0, 0, -528, 0, -328, 256, 0, 0, -284, 0, -52, -56, 0, 364, -304, 0, -652, 0, 0, -14, -24, 0, 164, 0, 0, 0, -98, 0, -310, -36, 0, 0, -192, 0, -50, -36, 0, 552, 60, 0, -240, 0, 0, 60, -656, 0, 444, 0, 0, 0, 270, 0, 12, 448, 0, 0, -350, 0, 492, 240, 0, 254, -158, 0, 220, 0, 0, 416, -140, 0, 356, 0, 0, 0, 784, 0, -110, -12, 0, 0, -180, 0, 72, -112, 0, -122, 672, 0, 12, 0, 0, 32, -8, 0, 22, 0, 0, 0, 178, 0, 652, -420, 0, 0, -120, 0, -208, -112, 0, 428, 84, 0, 322, 0, 0, 292, -176, 0, -52, 0, 0, 0, -28, 0, 152, -356, 0, 0, 440, 0, -284, -72, 0, 62, -302, 0, -76, 0, 0, 66, 274, 0, -692, 0, 0, 0, -136, 0, -198, -1032, 0, 0, 262, 0, -220, 32, 0, -440, 64, 0, 68, 0, 0, 228, -360, 0, -66, 0, 0, 0, -788], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 21, 8, -1, 6, 0], [1, 1, 24, 6, 1, 2, 0], [1, 1, 56, 11, -1, 6, 0], [1, 1, 168, 22, 1, 6, 0]], "char_orbit_index": 22, "prim_orbit_index": 22, "minimal_twist": "168.2.v.a", "char_is_minimal": true, "conrey_index": 11, "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}