# Stored data for newform 240.2.s.c, downloaded from the LMFDB on 23 April 2024. {"label": "240.2.s.c", "space_label": "240.2.s", "level": 240, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9008436238876912, "dim": 20, "is_polredabs": true, "trace_hash": 1491000096630315451, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[7, [262144, 0, 76283904, 0, 204587008, 0, 145248256, 0, 49590528, 0, 9697664, 0, 1161104, 0, 86368, 0, 3880, 0, 96, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{2}-\\beta _{4}q^{3}+\\beta _{2}q^{4}+\\beta _{5}q^{5}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 16, "char_orbit_label": "s", "char_is_real": false, "Nk2": 960, "analytic_conductor": 1.9164096485107291, "hecke_ring_index": 64, "level_radical": 30, "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": "0.259", "prec": 17}, "analytic_rank_proved": true, "char_values": [240, 4, [31, 181, 161, 97], [4, 3, 4, 4]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 5], "conrey_indexes": [61, 181], "field_disc": 3460924105077253474734598782976, "field_disc_factorization": [[2, 40], [1774173649, 2]], "field_poly": [1024, 0, -512, -512, 448, 512, 96, -288, -168, 80, 136, 40, -42, -36, 6, 16, 7, -4, -2, 0, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.066", "prec": 17}, {"__RealLiteral__": 0, "data": "17.550", "prec": 20}, {"__RealLiteral__": 0, "data": "0.444", "prec": 17}, {"__RealLiteral__": 0, "data": "1380.547", "prec": 27}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "214774.631", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 0, 0, 0], "traces": [0, 20, 0, 0, 4, 0, 0, 0, 12, 0, 0, 8, 0, 0, -4, 20, -20, -24, -4, -4, -8, 0, 8, 0, 0, 0, 28, 0, -8, 16, 0, 0, -40, 16, -44, 0, 0, 16, -8, 0, 12, 0, 12, -8, 24, 0, -12, 0, -16, -52, 4, 4, -56, -16, 0, 0, 64, 0, 72, -16, 4, -4, -44, -8, -56, 0, -32, -8, -32, -4, 20, 0, 4, 0, 60, 0, 28, -40, -28, 56, -16, -20, -24, -48, 24, 4, 64, 0, 40, 0, 0, -8, 88, 16, -20, 0, 0, 56, -48, 8, 0, 40, -16, 0, 40, 0, 88, 32, 8, -44, -16, 0, -72, -40, -44, 4, -16, 0, 48, 0, 12, 0, 12, 24, -32, 0, -20, -24, -56, 0, -12, -40, -24, 56, 16, 0, 44, 0, 56, -44, 40, 4, -24, -32, 8, -24, -72, -32, 8, -72, 0, 0, 144, 0, 152, 16, -24, 56, 12, 0, -20, 80, 0, 48, 8, 8, -8, 0, 56, 0, -24, 4, 56, -40, 48, 8, -136, -32, -104, 88, 0, -44, 64, 0, 76, 0, -4, -8, 16, 0, -28, 80, -16, 104, -128, 0, -44, 72, 32, 0, -4, 0, -24, -80, 4, -24, -92, 0, -104, -80, -4, -76, -80, -24, -40, 0, -12, 0, 68, 32, 8, 112, -28, -56, -32, 20, -68, -16, 48, 84, -40, 0, 64, 0, 12, 4, 0, -32, -32, -16, -20, -128, 12, 0, 52, -32, -64, 0, -48, 0, 0, -64, 32, 72, -52, -24, -12, 88, -24, 24, -56, -16, 72, 0, 24, 0, 80, -32, 8, -112, -4, -120, -64, -32, -84, -8, -52, -64, -80, 0, 56, 0, 8, 56, -32, -4, 120, 112, -24, 84, 24, 24, -96, 72, 8, 0, 80, 0, 48, 152, -8, -112, -76, 40, 36, -32, 20, 152, -24, -40, 44, 0, 8, 0, 60, 0, 24, 104, -8, 32, 48, 56, 40, 16, -4, 0, 56, 0, 0, 0, 8, -44, 32, 16, -60, 32, 16, -72, -60, -44, -44, -120, 48, 0, 8, 0, -80, -16, 8, 108, 20, 0, -96, 120, -16, 24, 56, 64, 72, 0, 0, 0, -20, -48, -24, -32, 16, -8, 120, -40, 44, 192, 24, -120, 48, 0, -36, 0, -20, 20, 0, 56, 8, -80, 28, 0, -104, -8, 56, 144, 28, 0, 28, 0, 0, -32, 56, -120, 212, -32, -8, -72, 80, -224, 40, 0, 24, 0, 88, 0, -64, -28, 104, 200, -28, -40, -8, 32, 8, -96, -8, 132, 96, 0, -24, 0, -24, 104, -32, -88, 16, -128, 16, -104, -8, 16, -20, -192, 104, 0, -48, 0, -56, 64, -32, 32, -52, -56, 16, 216, 0, -80, 32, 48, -72, 0, -108, 0, -20, -4, 36, -152, 96, 120, -24, 0, 84, -96, -56, -208, -24, 0, -56, 0, -28, -4, -160, -16, -144, -32, -40, 176, 24, 56, 16, 24, 0, 0, -168, 0, 16, 192, 72, -184, 144, 16, 168, -240, -24, 108, 0, -28, -88, 0, -16, 0, 40, 0, -96, 40, -44, 64, -24, 0, 44, 40, 8, 88, -232, 0, 0, 0, -40, -120, -136, 0, 44, -272, -56, -236, -16, -16, -24, -112, -88, 0, 8, 0, -104, -184, 0, 132, -28, -48, 124, 48, 104, -40, 8, 4, -32, 0, -64, 0, -12, 16, 36, -24, -84, 48, 72, 0, 64, 128, -12, -44, -32, 0, 112, 0, -8, 92, -136, 32, 104, 0, 60, 168, 248, 24, 96, 176, 0, 0, -168, 0, -96, -112, -128, 24, 48, 56, 184, -184, 16, -64, 152, -64, 64, 0, 12, 0, -24, 8, -48, 48, 176, -8, 312, 64, 40, -104, -72, 56, 48, 0, -176, 0, -20, 108, 40, -4, 48, 144, -56, -20, 144, 88, 64, 32, 12, 0, -16, 0, -160, 56, 56, 240, 208, 16, 0, 40, 32, 96, 88, -8, -128, 0, -12, 0, -12, 8, -96, -160, -16, 48, -72, -56, -40, -64, 24, -132, -64, 0, -176, 0, -44, -200, 0, 64, -32, 128, 120, 232, 56, 0, 88, -32, 8, 0, -8, 0, -272, 96, 52, 28, -128, 48, -72, -144, -12, 204, 152, 40, -56, 0, -80, 0, -124, 68, -32, 56, 12, -144, 40, 0, 156, 48, -40, 108, 8, 0, -72, 0, 8, -88, -40, -24, 16, 80, -16, -160, -52, -112, -20, 16, -40, 0, -312, 0, 32, -208, -120, 16, 52, -52, 156, 224, 16, 28, 0, 136, -136, 0, -40, 0, -28, 48, -8, -112, 4, -80, 120, -48, 152, -48, -40, -96, -192, 0, -36, 0, -76, 296, -16, 4, 124, 224, -128, 112, 64, -28, -8, 168, 72, 0, 48, 0, -96, -168, -56, -96, -16, 24, 100, 0, 8, -152, -24, -4, 12, 0, -64, 0, -196, -16, 96, -72, -224, 24, 24, 56, 120, 96, 120, 56, 184, 0, -88, 0, 0, 220, -16, -112, -40, 0, 188, -112, 328, -8, -8, -96, -168, 0, -88, 0, -104, 176, 24, 148, 168, 48, 264, 232, 92, 28, -8, -16, 96, 0, 64, 0, -52, -120, -12, 0, -12, 232, 320, 96, -20, -104, -72, -152, 32, 0, -24, 0, 96, -116, 88, 0, 48, -176, 20, -32, -40, -16, 80, -40, 72, 0, -40, 0, -192, 0, -96, -136, 172, -80, -64, -200, 44, 96, -160, -16, -80, 0, 32, 0, -40, -8, -112, -64, 104, -64, -160, 80, -48, -160, 4, 0, 0, 0, -36, 0, -36, -64, 192, 40, -128, -144, -16, -240, 160, -4, 44, 56, 24, 0, -144, 0, 160, -96, 40, -16, -220, -40, -32, 152, -44, 36, 136, 8, -200, 0, -40, 0, -256, -24, -76, -32, 84, 80, 128, -8, 64, 128, 248, 64, -48, 0, -296, 0, -48, 32, -112, 144, -40, -96, -56, 196, 120, 32, -40, 24, -312, 0, -212, 0, 8, -160, 0, -8, -116, 0, 140, -216, 16, -304, 88, 44, 0, 0, -48, 0, -176, -136, -32, 192, -32, 216, 40, -128, 224, 64, -96, 176, -256, 0, 0], "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, 16, 5, 1, 4, 0]], "char_orbit_index": 19, "prim_orbit_index": 5, "minimal_twist": "240.2.s.c", "char_is_minimal": true, "conrey_index": 61, "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, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, -1, -1, 0, 0, -1, -1, 1, 1, 0, 2, -1, -1, 0, -1, -1, 0, -1], [1, 0, 0, 0, -1, -1, 0, 0, 0, -1, 0, 0, -1, 0, 1, 1, 0, 0, -1, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, -1, -1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 1, 1, -1, -1, 0, 0], [0, 0, 0, 1, -2, 0, 0, -1, 0, 1, 0, 0, -1, -1, -1, 0, 1, 0, -1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 1, -2, 0, -1, -1, 0, -1, -1, 1, 1, 2, -1, 0, 0, -1, 0, 0, -1], [-1, -2, 0, 0, 0, 1, 0, 0, 1, 0, 0, -1, -1, 1, 0, 1, 0, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 1, 1, 0, 1, 0, 1, 1, -1, 0, -1, 0, -1, -1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1, -1, 0, 0], [1, 0, 0, 2, 1, -2, 0, 0, 1, -2, -2, 0, -3, 1, 0, 1, 1, 0, -1, 1], [1, 1, -3, 1, 2, 1, 2, 2, 1, 0, -1, -1, -1, 1, -1, -2, 2, 1, 1, 1], [0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, -1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, -1, 0, -2, 0, -1, 0, -1, 0, 0, 1, -1, 1, 0, -1, 0, -1, 0], [0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, -3, 0, -2, 0, -2, -2, 0, 0, 1, -1, 0, 1, 0, 0, -1, -1], [1, 1, -1, 1, 1, 0, -1, 0, -1, 2, 1, -1, 1, 0, -1, -1, 0, -1, -1, -1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, -2, -1, 0, 0, 0, -2, 0, 0, 3, 3, -1, 0, -1, -1, 1, 0, -1], [-2, -1, 1, 0, 0, -1, 1, -1, 0, 2, 1, 1, -1, 0, 0, 0, 0, -1, -1, -1], [1, -1, 0, 0, -1, 0, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1], [-3, -2, 0, -1, 1, 0, -1, -1, 0, -1, -1, 0, 2, 0, -1, 1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [1, -1, -2, 1, 1, 0, 1, 1, -1, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1], [1, 1, -2, 1, 3, -2, 2, 1, 1, -3, 0, -1, -2, 0, 1, -1, 2, 2, 2, 1], [0, 1, 1, -1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, -1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, -2, 0, 1, 2, -2, 0, 0, 0, 0, 0, -1, 0, 0, 0], [1, 0, -2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, -1, 1, 0, 0, 1], [-1, 2, 1, 1, -1, 0, 1, -1, 0, 1, 1, 2, 0, -2, -1, -1, 0, -1, 0, -1], [0, 0, 2, -2, -2, -2, 0, 0, -1, -4, 2, 2, 2, 0, 2, 2, -1, 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, 1, 4, 4, 1, 1, 1, 1, -1, -2, -1, 1, 1, 0, 0, 2, 3, 2], [-1, 0, 1, -1, 0, 1, 0, 1, 1, -1, 1, 0, 0, 1, -1, 0, 1, 3, 2, 1], [-1, -1, 1, 0, 1, 1, -1, -1, 1, 0, -1, -1, 0, 1, 0, 1, -1, -1, 0, 0], [-1, -1, -2, 0, 2, -2, 0, 1, -1, -1, 0, -1, -1, -2, 2, 0, 0, -2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 2, 0, 2, 1, 1, 0, 1, 0, -1, 0, 1, -1, 1, 1, 1, 0], [-3, 2, -2, 0, 3, -2, 0, 2, -2, 2, 2, 2, 1, -1, 0, -1, 0, 0, -1, -1], [-1, -2, -1, 1, 1, 0, -1, 1, 0, 1, -1, 2, 0, 2, 1, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, -1, 0, 0, 0, -1, 0, -1, -1, -1, 1, 0, 1, 1, -1, 0, 0, 0], [2, 0, 2, -2, -4, 2, -2, -2, -1, 2, 0, 2, 2, 0, 0, 0, -1, 0, 0, -2], [0, 1, 0, 0, -1, -1, 1, -1, 0, -1, 0, 1, -1, -1, 0, 1, 1, 0, -1, 0], [4, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, -2, -2, 2, 0, 0, 2, 4, 2, 2], [0, 1, -1, 2, 2, -2, 2, 2, 1, 0, -1, 0, -4, 4, 1, 1, 2, 2, 1, 2], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 2, 0, 0, 1, 0, -2, 0, -1, -1, 0, 2, 0, 1, 2, 1, 2], [-1, 0, -2, 1, -1, 0, 0, 1, 0, 5, 0, 0, -2, 0, 1, -1, 1, -2, 0, -1], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0], [-2, -1, -2, 0, -2, -1, 1, 2, 0, -5, 1, -1, -2, -1, 0, 0, 2, 1, 0, 1], [0, 0, -1, -1, 0, 0, -1, 1, -1, -1, 1, 1, 1, -1, 1, 0, 0, 0, 0, 0], [-1, 2, -2, 0, 1, 2, 0, 2, 0, -2, 0, 0, -1, 1, 0, -1, 2, 2, 1, 1], [-2, -2, 2, 0, -4, 0, 0, -2, 1, 0, 2, 0, 0, 0, -2, 2, 1, 0, 0, 0], [-3, -4, 0, 0, 1, 0, 0, -2, -1, 6, 0, 2, 3, 0, -1, 1, -1, -2, -1, -1], [0, 1, -1, 1, -1, -2, -1, 0, -1, -1, 1, 2, -1, -2, 1, 1, 0, 0, -2, -1], [1, 0, 0, 1, -1, 0, 0, -1, 1, 1, 0, 0, 0, 0, -1, -1, 0, 0, 0, -1], [-1, 1, 1, -3, -1, 0, -1, 0, -2, 0, 1, -3, 5, 0, -1, -1, -3, -1, 1, -1], [0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [1, 2, 1, -1, 1, 0, 3, 1, 0, 1, 1, 0, -2, 2, 3, 1, 2, 1, 0, 1], [2, 0, 0, -1, -2, 0, 0, -1, -1, 3, 0, 0, 3, -1, -1, 0, -2, -2, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 2, 1, 4, 2, 0, 1, 0, 2, 2, 1, -1, -2, -3, -1, -1, 1, -1], [-3, -1, 3, 1, -3, 0, -3, -2, -1, -2, 1, -3, 1, 0, -1, 3, 0, -1, -1, 1], [-1, 0, 0, 1, -1, 2, 0, 1, 2, -1, 0, 0, -2, 0, -1, -1, 1, 0, 0, 1], [1, -1, 2, 0, 1, -2, 0, -3, 0, 3, -2, 2, 2, 3, -2, 1, -2, -1, -1, -1], [0, 1, -1, 0, 2, -1, 1, 1, 0, 0, -1, -1, -1, 1, 1, 0, 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, 0, 0, 0, 4, -4, 2, 0, 0, 0, -2, -2, 0, 2, 2, 0, 0, 0, 0, 0], [-1, 0, -1, 1, 3, 0, -3, 1, -1, -3, -1, 0, -2, 0, 1, -1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 2, 0, 0, -1, 2, 0, -2, 1, 1, 0, 1, -1, 0, 1, 1], [0, 0, 0, -1, -1, -2, -1, 0, -1, -1, 2, 0, 1, -2, 0, 0, -1, 0, -1, -1], [4, 0, 0, 2, -2, -2, 0, 0, -1, -4, 0, 0, -2, -2, 0, 0, 1, -2, -2, 0], [1, -1, -1, 1, -1, -2, -1, 0, -1, -2, 1, -1, -1, 0, 1, 1, 0, 1, -1, 1], [0, 0, 2, -2, 0, 2, -2, -2, 0, 4, 2, 4, 2, -2, -2, 0, -2, -4, -2, -2], [0, 4, -2, 0, 0, 0, -2, 2, 1, -4, 0, 2, -2, 0, -2, -2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 2, -2, -4, -4, -1, 1, -1, -2, 3, -3, -2, 2, 2, 2, 0, -3, -2], [5, -2, 0, 2, -1, -2, 2, -2, 2, 2, -4, -2, 1, 0, -1, -1, -2, -2, -1, -1], [0, 0, 1, 0, 0, 0, 0, -1, 0, 1, -3, 0, 1, 0, -1, 1, -2, -1, -1, 0], [-2, -2, 2, 1, 0, 0, -1, -3, 2, 3, -1, 0, -1, 1, -1, 2, -1, -2, -1, -2], [-1, -1, 1, -1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, -1, 0, 0, 1, 1, 1], [0, -1, 0, 0, 2, -1, 1, 0, 1, -1, -1, 1, 0, 1, 0, 0, 1, 1, 0, 1], [3, -2, 1, -1, -1, 2, 1, 1, 2, -1, 1, -2, -2, 0, -1, -1, 2, 3, 2, 1], [-2, -1, -2, -2, 0, 0, 2, 0, -3, -2, 2, 0, 4, -2, 0, -2, -3, 0, 0, 0], [1, 0, 0, 1, -1, 0, 1, 0, 1, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0]]}