# Stored data for newform 693.2.m.j, downloaded from the LMFDB on 15 May 2024.
{"label": "693.2.m.j", "space_label": "693.2.m", "level": 693, "weight": 2, "hecke_orbit": 10, "hecke_orbit_code": 40533221313610421, "dim": 20, "is_polredabs": true, "trace_hash": 746988851454992537, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[2, [121, -1155, 13084, -43696, 67756, -33295, 11660, -15494, 26062, -3393, 15808, -1174, 4638, -153, 662, -10, 94, -3, 12, 0, 1]]], "qexp_display": "q-\\beta _{7}q^{2}+(\\beta _{3}-\\beta _{6}-\\beta _{8}-2\\beta _{9}-\\beta _{10}+\\cdots)q^{4}+\\cdots", "char_order": 5, "char_parity": 1, "char_degree": 4, "char_conductor": 11, "char_orbit_label": "m", "char_is_real": false, "Nk2": 2772, "analytic_conductor": 5.53363286007473, "hecke_ring_index": 16, "level_radical": 231, "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": "0.003", "prec": 17}, "analytic_rank_proved": true, "char_values": [693, 5, [155, 199, 442], [5, 5, 3]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 2, "level_primes": [3, 7, 11], "conrey_indexes": [64, 190, 379, 631], "field_disc": 5215565378586047920272247314453125, "field_disc_factorization": [[5, 15], [701, 2], [589736009, 2]], "field_poly": [121, -1155, 13084, -43696, 67756, -33295, 11660, -15494, 26062, -3393, 15808, -1174, 4638, -153, 662, -10, 94, -3, 12, 0, 1], "hecke_ring_index_factorization": [[2, 4]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.052", "prec": 17}, {"__RealLiteral__": 0, "data": "18.066", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1092.294", "prec": 27}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "124737.097", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 5, "sato_tate_group": "1.2.3.c5", "trace_display": [0, 0, 5, 5], "traces": [0, 20, 0, 0, -14, 5, 0, 5, 9, 0, 12, 1, 0, 13, 0, 0, -24, 1, 0, 10, 46, 0, 26, 0, 0, -8, 53, 0, 4, -3, 0, -13, -82, 0, 42, -5, 0, -32, -16, 0, 20, 3, 0, 12, -25, 0, -13, -20, 0, -5, 83, 0, -80, -3, 0, -28, 6, 0, 2, 9, 0, -15, 37, 0, -49, -58, 0, 76, -51, 0, 3, -37, 0, 27, 32, 0, 4, -6, 0, 5, -137, 0, -55, 42, 0, -48, -3, 0, 151, 18, 0, 7, -39, 0, -35, 96, 0, -27, 0, 0, 64, 24, 0, -5, -113, 0, -32, -13, 0, 2, -131, 0, 24, -41, 0, -26, 155, 0, -24, -1, 0, 3, 150, 0, -20, -31, 0, -7, 201, 0, 7, 10, 0, 0, -85, 0, -59, -12, 0, -45, 39, 0, 126, -9, 0, -17, -148, 0, 31, 18, 0, 23, -104, 0, -21, -10, 0, 65, -62, 0, -52, 0, 0, -124, 124, 0, -80, 8, 0, -28, -45, 0, 7, -3, 0, -62, 80, 0, 147, 13, 0, -3, 52, 0, 33, -104, 0, 57, 122, 0, -30, -9, 0, -22, 5, 0, -4, -36, 0, -42, 32, 0, 114, -17, 0, -41, 153, 0, 46, 114, 0, 95, -88, 0, -141, 11, 0, 13, 26, 0, 94, -44, 0, -23, -48, 0, 57, -25, 0, 30, 48, 0, 98, 127, 0, -83, 131, 0, 53, -114, 0, -8, -117, 0, -27, 0, 0, 68, 11, 0, -121, 11, 0, -40, -58, 0, -216, 50, 0, -8, 113, 0, 25, -72, 0, 102, 16, 0, -57, 19, 0, 1, 39, 0, -158, 91, 0, -62, -28, 0, 25, -71, 0, 43, -127, 0, 86, -38, 0, -16, -107, 0, -3, -14, 0, -89, -312, 0, -26, 60, 0, 3, 6, 0, 310, 60, 0, 80, -70, 0, 83, -69, 0, -27, -5, 0, 66, -77, 0, 64, 122, 0, -12, 86, 0, 117, 0, 0, -156, 30, 0, 120, -32, 0, -6, -200, 0, 23, 45, 0, -94, 137, 0, 5, 58, 0, -27, -60, 0, -26, -83, 0, -322, 84, 0, -50, -103, 0, -45, 124, 0, 9, 202, 0, -50, 153, 0, -117, -65, 0, 6, -2, 0, 104, -47, 0, -19, -17, 0, 15, 42, 0, 152, -45, 0, 3, -244, 0, -54, -66, 0, -8, 9, 0, -177, 94, 0, 150, -125, 0, 134, 48, 0, 61, -264, 0, -22, 174, 0, -99, 1, 0, 3, -14, 0, 148, -295, 0, 198, -90, 0, 39, -167, 0, 251, -164, 0, 15, 90, 0, -328, 147, 0, -132, 48, 0, -102, 88, 0, -20, 464, 0, -152, 24, 0, -56, -88, 0, 4, -67, 0, 26, 200, 0, -126, -2, 0, 147, 48, 0, 196, 28, 0, -94, 219, 0, 115, -25, 0, 34, -166, 0, -322, 143, 0, -100, 36, 0, 118, -47, 0, -82, -48, 0, -182, -74, 0, 71, 147, 0, -3, 28, 0, 149, 304, 0, 166, 37, 0, 33, -105, 0, 87, -133, 0, 360, 232, 0, 157, 89, 0, 28, -31, 0, 106, -193, 0, -105, 78, 0, 126, 3, 0, -65, 81, 0, 31, 4, 0, -36, -105, 0, -64, 18, 0, -8, 211, 0, 10, 1, 0, -81, 5, 0, -21, -163, 0, -23, 159, 0, -98, -28, 0, 0, -124, 0, 65, -8, 0, -99, 12, 0, -156, 29, 0, 8, -4, 0, -42, -15, 0, -220, -13, 0, 55, -68, 0, -93, 196, 0, 277, -42, 0, -149, 266, 0, 16, -58, 0, 54, 329, 0, 171, -44, 0, -2, 123, 0, 176, -139, 0, 82, 38, 0, 112, 96, 0, 76, -266, 0, 201, -71, 0, -42, -102, 0, 74, 222, 0, -6, -281, 0, 31, 22, 0, -78, -184, 0, -516, -16, 0, -43, -183, 0, 90, -157, 0, -12, -361, 0, -89, -146, 0, 64, 9, 0, 92, -137, 0, -98, 164, 0, -112, -109, 0, 10, -208, 0, 35, -68, 0, 32, -97, 0, -58, 54, 0, -160, 95, 0, -648, 223, 0, -127, 35, 0, -13, 16, 0, -3, -109, 0, 72, 88, 0, -26, 0, 0, 9, -222, 0, -19, 68, 0, 48, 151, 0, -69, 85, 0, 91, 59, 0, -40, 13, 0, -24, 66, 0, 2, 247, 0, -136, 150, 0, -72, -406, 0, -67, 23, 0, 15, 218, 0, 127, 78, 0, 54, 113, 0, 7, 81, 0, 69, 39, 0, 120, 70, 0, -76, 0, 0, -78, -111, 0, -107, -14, 0, 93, 8, 0, -34, -161, 0, 340, 61, 0, 18, -690, 0, -88, -83, 0, 43, 127, 0, 57, -55, 0, 220, -204, 0, -44, -14, 0, 151, -195, 0, 164, -26, 0, 43, 268, 0, -14, 161, 0, -151, -175, 0, 171, -4, 0, 264, -63, 0, 301, -147, 0, 112, -143, 0, -92, -14, 0, 26, 249, 0, -354, -254, 0, -6, -155, 0, -102, 160, 0, 70, 51, 0, 25, 50, 0, -68, 372, 0, -66, 63, 0, -158, -182, 0, -581, -9, 0, 36, -300, 0, -7, 135, 0, -128, 344, 0, -51, -82, 0, 47, -20, 0, -401, -32, 0, 46, -35, 0, -368, 216, 0, 48, -238, 0, 257, -71, 0, 197, 60, 0, -130, 19, 0, 94, -298, 0, -230, 11, 0, -69, 260, 0, 121, 56, 0, 122, 42, 0, -165, -49, 0, 7, 138, 0, 322, -128, 0, 188, 119, 0, -41, -91, 0, 274, 28, 0, 241, 128, 0, -68, 65, 0, -77, 45, 0, 184, 222, 0, -176, -40, 0, -16, -120, 0, 294, 92, 0, -92, -58, 0, -230, 84, 0, 10, -250, 0, 46, 159, 0, -105, -15, 0, 299, -90, 0, -86, 449, 0, -112, -110, 0, 159, 290, 0, -61, -123, 0, 23, 224, 0, 232, 12, 0, -116, -144, 0, 354, -114, 0, -156, -160, 0, 95, 177, 0, -20, 134, 0, 33, 135, 0, 122, -14, 0, 194, 139, 0, -202, -83, 0, -216, -220, 0, -118, -93, 0, -66, 145, 0, 36, 416, 0, 760], "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, 11, 3, 1, 5, 0]], "char_orbit_index": 13, "prim_orbit_index": 3, "minimal_twist": "231.2.j.g", "char_is_minimal": true, "conrey_index": 64, "id": null, "nf_label": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, -1, 0, -1, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 2, 0, 0, 2, -1, 1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0, 0, 0, 1, 0], [0, 1, -1, 0, 0, 0, 0, 0, 1, 1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 1, -1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -3, 1, 0, 5, 1, 4, 0, 0, 5, 1, -2, 1, 1, 1, 0, -1, -2, -1, 0], [-1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, -1, 0, -1, -1, 0, 0, -1, 1, 0, 0, 1, 0, 0, 1, 0, 0], [3, 0, 1, 0, 0, 1, -2, 0, -2, -5, -3, 2, 0, 0, 0, 2, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -2, 0, -2, -1, 1, 0, 0, 0, 1, 1, 0, -1, 0, -1, 1, 0, 1, -1], [-1, 2, -2, 0, -1, -1, -1, 0, 0, -1, -1, 3, -1, -1, -1, -1, 2, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, -1, 1, -3, 1, -1, 0, -1, 0, -1, 0, 0, 0, 1, 0, 0, 1, -1, 1], [-1, -2, 1, 0, 5, 2, 4, 0, -1, 2, -1, 1, 0, -1, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, -1, 1, 0, -1, 1, 0, 0, 1, 3, 1, -2, 1, 1, 2, 0, -1, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, 0, 1, -3, 1, 0, 0, -1, 1, 0, 0, 0, 1, 1, -1, 0, -1], [-3, 0, -2, 3, -3, -4, -1, 1, -2, -3, 0, 2, 0, -1, -2, -1, 2, 1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, -2, 0, 3, -4, -1, 0, 1, 3, -1, 2, -1, -1, -1, -1, 2, 1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 3, 0, -1, 1, -1, -1, -1, -3, 0, -1, 2, 0, 2, 2, -1, 0, -1, 1], [1, -3, 2, -1, 1, 2, -1, 0, 0, 0, 1, -4, 2, 3, 2, 2, -2, -4, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -6, 6, -1, 3, 6, 2, 0, -1, 0, -1, -2, 1, 1, 2, 3, -1, -1, -2, 1], [1, -1, 1, 1, -2, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, -1, 0, 0, 1, 1, -1, -1, -1, 0, 1, 0, 0, 0, -1, 0], [-1, 2, 0, 2, -4, -1, -2, -3, -1, 1, 0, 1, 2, -1, -1, 1, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -2, 2, 0, 0, 1, 1, -1, 0, 1, 0, 0, 2, 1, 1, 3, -1, -1, 0, -1], [0, 0, 0, -2, 1, -1, 3, -1, 2, 0, 3, -2, 0, 1, 0, -1, 0, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 2, 1, -1, -4, 0, 4, 1, 0, 3, 2, 0, 0, 0, 0, -1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, -2, 2, 2, -1, -3, 3, -3, -2, 0, -1, 0, 2, 1, 0, -1, 2, 0, -1, 1], [-1, 0, -2, 0, 0, -2, -1, 1, 2, 2, -1, -1, 0, 0, 0, -1, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -2, -2, 1, 3, 1, 3, 2, 1, 0, -1, 1, -1, -2, -1, 1, 0, 0, 0, -1], [1, -2, 2, -1, 1, 3, 1, 0, 0, 1, 1, -2, 1, 1, 1, 1, -2, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -5, 0, -2, -2, 0, 0, 0, 0, 3, -1, 0, 1, -2, -1, 0, -2, 2, -2], [-1, 0, -1, 2, -1, 0, 0, -2, -1, 2, 1, 1, 2, -1, 0, 0, 0, 2, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 3, -1, -1, 2, 0, 0, -1, 0, -1, -1, 0, 0, -1, 0, 2, 0, 0, -2, -1], [2, 1, -3, -1, 3, -1, 3, 0, 0, -1, 0, -2, 0, 2, 0, 2, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 2, 2, 0, 0, 3, -5, 5, 3, 2, -2, 2, -2, -1, -1, -1, 0, 2, 0, 1], [-1, -5, 4, -1, 2, 5, 2, 1, -2, 2, 1, -4, 2, 1, 2, 2, -4, -2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, -1, 0, -1, 0, 1, 0, 0, 1, 0, -1, 2, 1, 0, 0, 0, 0, 0], [-2, 0, -3, 0, 0, -3, -8, -2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, -3, 1, 0, -2, 0, 0, 0, 0, 0, 3, -1, -2, -2, -1, 1, 1, 1, 0], [-1, 5, -4, 1, 0, -1, -5, -3, 0, -5, -1, 2, -1, -2, -1, -1, 1, 2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, -1, 0, 1, 2, 2, 0, 1, 2, 1, -1, 0, 1, 0, -2, 0, 0, 1, -1], [1, -3, 1, 1, 5, 2, -2, 4, -1, 0, -1, 0, 0, 0, -2, 0, 0, -2, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, -2, 2, -6, -3, -1, 2, -2, -6, 0, -1, -1, 0, -1, -1, 2, 1, 2, 0], [-1, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, -1, 0, 0, 1, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, -3, 0, 0, 1, -1, 0, 0, 0, -1, -1, 1, 0, 0], [-11, -1, 1, 3, 7, -1, 10, -1, -3, 0, -1, 0, 0, 1, 0, -1, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 4, -1, 2, 3, -1, -3, 0, 0, -2, -2, 2, -1, -1, -1, -1, 1, 2, -1, 2], [0, -2, 2, 0, 0, 0, 2, 2, 0, 2, -2, 0, 0, 0, 0, 2, 0, 0, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, 2, 0, 4, 1, 4, 0, 0, 0, 0, -3, -1, 0, 1, 0, -1, 1, -3, 3], [2, 0, -1, 0, 0, -1, -4, 0, 2, 0, 3, -2, 0, 0, 0, -2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [13, 1, -1, -1, -2, 2, -7, 2, -1, -8, -3, -1, 0, 1, 0, 1, -2, -1, 0, 2], [1, 3, 0, -1, 1, 0, 0, -3, 1, 1, 1, -1, 0, 1, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, -1, -1, -2, 0, -1, 0, 1, 0, 1, -1, 0, 1, 0, -1, 0, 0, 0, 0], [3, 3, -4, -2, -2, -3, -2, 1, 1, -6, 0, -3, -1, 3, 0, 0, 0, -1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 1, 2, 0, 0, -1, 0, -1, 3, 0, 0, -1, -2, -2, -2, 0, 2, 1], [-1, 1, -1, -1, 5, -1, 7, 0, 2, 5, 2, 5, -2, -3, -4, -1, 2, 2, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, 0, 0, 1, -2, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 1, 2, 0, 5, -3, 1, -5, -3, 5, 2, 0, 3, 0, -1, 1, -2, -1, 3, 0]]}