# Stored data for newform 1470.2.m.c, downloaded from the LMFDB on 25 April 2024.
{"label": "1470.2.m.c", "space_label": "1470.2.m", "level": 1470, "weight": 2, "hecke_orbit": 3, "hecke_orbit_code": 9008023922017726, "dim": 16, "is_polredabs": true, "trace_hash": 128241282384543368, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [512, 512, -1088, -160, 382, 8, -40, 0, 1]], [13, [18496, -13056, 4608, 394624, 1910048, 2597824, 1900160, 648992, 107444, 12480, 21504, 5632, 740, 16, 32, 8, 1]]], "qexp_display": "q-\\beta _{6}q^{2}-\\beta _{6}q^{3}-\\beta _{5}q^{4}+\\beta _{3}q^{5}+\\cdots", "char_order": 4, "char_parity": 1, "char_degree": 2, "char_conductor": 35, "char_orbit_label": "m", "char_is_real": false, "Nk2": 5880, "analytic_conductor": 11.738009097128216, "hecke_ring_index": 4, "level_radical": 210, "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": "0.281", "prec": 17}, "analytic_rank_proved": true, "char_values": [1470, 4, [491, 1177, 1081], [4, 1, 2]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [97, 1273], "field_disc": 756460982779612638478336, "field_disc_factorization": [[2, 48], [47, 2], [1103, 2]], "field_poly": [390625, 0, 0, -100000, 1250, 0, 8800, -1440, 2, -288, 352, 0, 2, -32, 0, 0, 1], "hecke_ring_index_factorization": [[2, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "15.718", "prec": 20}, {"__RealLiteral__": 0, "data": "15.480", "prec": 20}, {"__RealLiteral__": 0, "data": "1070.019", "prec": 27}, {"__RealLiteral__": 0, "data": "3926.925", "prec": 27}, {"__RealLiteral__": 0, "data": "130576.838", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "1.2.3.c4", "trace_display": [0, 0, -8, 0], "traces": [0, 16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -16, 8, 0, 48, 0, 0, -8, -8, -16, 8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -16, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 8, 8, -16, 0, 0, 8, 24, -48, 0, 0, 8, 0, 0, 72, 0, -48, 8, 0, 0, 0, 0, -16, 0, 0, 0, 0, 8, 0, 8, -16, 16, 0, 0, -72, 0, 24, 8, 64, 0, 0, -8, 8, -64, 48, 0, 64, 0, 0, 0, 0, 8, -16, 0, 0, 48, -48, 0, 0, 8, 0, 0, -24, 0, 8, 0, 8, -8, 0, 8, -16, 48, 16, -48, -8, 0, 16, 0, 0, 0, 0, 8, 0, 0, 0, 0, 40, -8, -80, 0, -64, -8, 16, 0, 0, 0, 0, -8, 0, 0, 48, -8, 8, 0, 64, 0, 48, 48, 48, 0, 0, 0, 0, -48, 8, 0, 128, 0, 0, 0, 0, 0, 24, 0, 0, 0, -8, 0, 0, 8, 0, 0, 48, 0, -8, -48, -88, -16, 0, -8, 0, 0, -64, -48, 0, 0, 24, 8, -80, -8, 0, -8, 0, 0, -8, 0, -8, 8, -144, 0, 96, 8, -8, 0, 0, 0, 0, -24, 0, 0, -64, -8, 32, 0, 0, 0, 48, -8, 16, 0, 0, 24, 0, 0, 16, 0, 48, 0, 0, 0, 0, 8, 0, 0, 0, -48, 48, 8, 0, 0, 0, 0, -64, 0, 0, 16, -104, 0, 0, 0, 0, 136, 56, 0, 0, 0, 0, 48, 80, 8, 0, -8, 0, 0, 32, 0, -112, 8, -48, 0, -48, -16, 8, 0, -8, 0, 0, 0, 0, -16, -48, 16, -8, 0, -80, -16, 8, -64, 144, -8, 0, -56, -8, -48, -32, 0, 48, 0, 0, -72, 0, 8, -64, 16, 0, -16, -72, 8, 0, 0, 0, 0, 16, 0, -104, -32, -24, 16, 0, 0, -32, 0, -8, -64, -48, 0, 8, -24, 0, 0, 0, -8, 0, 0, 0, 0, 112, 24, -64, 0, 0, 8, 56, 0, 0, 0, 0, -24, 0, 0, 128, 64, 8, 0, 168, 0, 80, 8, -48, -64, 0, 8, -64, -160, 0, 0, 0, 0, 0, 0, 0, 24, -64, 16, 0, 48, 0, 64, 0, 0, 0, 0, 136, 0, -96, 0, -48, 24, 0, -8, 96, 48, -144, -144, 8, 0, 8, -8, 96, -80, 0, 16, 0, 0, -64, 0, 8, 48, -32, 0, 96, 16, -16, 0, 104, 0, 0, 48, 0, 0, -112, 0, 64, 0, -16, -64, 112, 16, 160, -72, 0, 40, -96, -16, -40, 0, -64, 0, 0, -8, 0, -24, -56, 48, 0, -48, 112, 32, 0, 72, 0, 0, -64, 0, -72, 128, -64, 8, 0, 32, 16, 8, 40, -16, -112, 0, 8, -8, 32, 0, 0, 16, 0, 0, -120, 0, 16, 48, -32, 0, -112, 16, 72, 0, 0, 0, 0, 0, 0, 0, -64, 112, 128, 0, -56, 16, -24, -16, 0, 0, 0, 0, -8, -16, -16, 0, 120, 0, 0, 8, 0, 24, 24, 48, 0, 112, -104, 8, 0, 48, 0, 0, -72, 0, -112, 32, -24, 16, 0, 0, -144, 72, 64, 0, 64, 0, -176, -40, 0, -8, 0, 8, 0, 0, -64, 0, 24, 8, -48, 0, -160, 72, -112, 0, 48, 0, 0, 8, 0, 0, 384, -16, 24, 0, -8, 16, -160, 128, 48, 0, 0, 64, 208, -48, 0, 0, -16, 0, 0, 72, 0, -8, -152, 0, 0, -32, 24, 64, 0, -8, 0, 0, 48, 0, -136, -144, -144, -8, 0, 40, 336, -8, -40, -96, -80, 0, -56, 16, 192, -48, 0, -48, 0, 0, 8, 0, 48, 48, -48, 0, 144, 48, 16, 0, -112, 0, 0, -8, 0, 0, -176, 48, 88, 0, 0, 144, -96, 0, 64, -32, 0, 0, -48, -64, -160, 0, 16, 0, 0, -72, 0, -112, 40, 80, 0, -16, 64, 128, 0, 64, 0, 0, -56, 0, -8, 16, 8, -24, 0, 56, 48, 8, -16, -48, 24, 0, 32, 0, 192, 72, 0, -24, 0, 0, 80, 0, -104, 48, 128, 0, -160, 8, -32, 0, 32, 0, 0, 8, 0, -56, -16, 0, 48, 0, -80, 16, -8, -104, 128, 0, 0, -96, 16, -144, -24, 0, -64, 0, 0, -24, 0, 48, -160, 112, 0, 0, 88, 16, 0, 104, 0, 0, 112, 0, -128, 48, 0, -88, 0, 0, -208, 16, 112, -176, -272, 0, -24, -64, 16, 72, 0, -16, 0, 0, 0, 0, 160, 0, 0, 0, -16, -64, 104, 0, -96, 0, 0, -40, 0, 8, 304, 128, 24, 0, 80, 48, -32, -24, 112, 48, 0, 8, 72, -16, 48, 0, 40, 0, 0, 0, 0, 72, 48, 32, 0, -32, 16, -8, 0, 0, 0, 0, 72, 0, -32, 0, -64, 0, 0, -48, 0, -40, -32, -32, -8, 0, 176, 8, 32, 64, 0, -8, 0, 0, 0, 0, 8, -128, 128, 0, 240, -112, 72, 0, 96, 0, 0, -8, 0, -32, -144, 8, 32, 0, 0, -48, -216, -16, -16, 32, 0, -56, -160, 16, -56, 0, 128, 0, 0, 0, 0, -24, 64, -16, 0, -48, 104, 8, 0, 0, 0, 0, 16, 0, 72, 32, 80, -8, 0, -160, 0, -32, 0, -32, -192, 0, 64, -48, -16, -8, 0, -64, 0, 0, 0, 0, -176, 48, -144, 0, 80, -8, 16, 0, 40, 0, 0, -8, 0, 64, -96, 112, 96, 0, 40, 0, 16, -24, -80, -48, 0, 0, -48, 32, 184, 0, -144, 0, 0, 144, 0, 48, 48, 48, 0, 0, -64, 48, 0, 8, 0, 0, -144, 0, 32, 0, -8, 48, 0, 0, -144, 80, 48, -128, 120, 0, -240, -8, 144, -72, 0, 0, 0, 0, -32, 0, 96, 0, 304, 0, -64, 8, -112, 0, 64, 0, 0, -48, 0, -72, 176, -8, -112, 0, 112, 80, -64, 16, -16, -96, 0, 128, 128, 16, 64, 0, -80, 0, 0, 104, 0, -64, -168, 16, 0, 16, -24, -24, 0, 56, 0, 0, 8, 0, -96, -48, 208, -104, 0, 32, -80, 0, -88, 32, 72, 0, 56, -24, 0, -72, 0, -64, 0, 0, 176, 0, 48, 136, 16, 0, 192, 56, 8, 0, -192, 0, 0, 128, 0, 64, -320, 8, -16, 0, -56, -192, -176, 0, 32, 64, 0, 48, 152, 16, 0, 0, -104, 0, 0, 0, 0, -96, -96, 64, 0, -144, -192, -8, 0, -64, 0, 0, -56, 0, -24, 0, 24, 48, 0, 0, 112, 0, 40, 0, 256, 0, 16, 112, 64, 104, 0, -8, 0, 0, -288, 0, 0, -96, 48, 0, -304, -88, 8, 0, 0, 0, 0, 16, 0, 32, -176, -8, -128, 0, 16, 0, -64, -136, 272, 72, 0, -16, -16, -32, -48, 0, -40, 0, 0, 0, 0, 0, 144, 16, 0, 96, 120, -64, 0, -80, 0, 0, -112, 0, 192, 16, -40, 16, 0, 8, -96, 8, 128, 16, -48, 0, 32, -64, 48, 128, 0, -24, 0, 0, 48, 0, 0, 8, -192, 0, -16, -64, -8, 0, -160, 0, 0, -40, 0, 0, 160, 176, 72, 0, -192, 32, -192, 56, -32, -40, 0, -8, 104, 48, 0, 0, 24, 0, 0, -8, 0, -32, 128, 0, 0, 112, 0, 48, 0, -48, 0, 0, -40, 0, 208, -32, 136, -8, 0, -8, 32, 8, -16, -128, 64, 0, -40, -8, 256, 0, 0, 64, 0, 0, 96, 0, -128, 8, 80, 0, 112, 88, -112, 0, 64, 0, 0, 72, 0, -32, -512, -8, -384, 0, -32, -32, 56, 8, 112, -8, 0, 72, 96, -48, -64, 0, -16, 0, 0, 32, 0, 16, -56, 64, 0, 16, -280, -160, 0, 72, 0, 0, 32, 0, 0, 192, -256, -24, 0, -40, -16, -16, 136, -48, -24, 0, 8, 56, 224, 0, 0, -32, 0, 0, 64, 0, -48, 0, 32, 0, -48, -8, -8, 0, -160, 0, 0, -32, 0, 48, -32, -80, 0, 0, 144, -96, -48, -8, -272, -8, 0, -24, -64, -48, 192, 0, 144, 0, 0, 72, 0, 48, 8, -176, 0, -96, -152, -8, 0, -224, 0, 0, 0, 0, 224, 0, -8, -64, 0, 64, -128, -104, 112, 16, 312, 0, 48, -112, 0, 24, 0, -24, 0, 0, -48, 0, 176, 0, -32, 0, 32, -40, -64, 0, 240, 0, 0, -8, 0, 144, 96, -56, 48, 0, -40, 48, -48, 88, 0, 64, 0, 48, -128, -64, 8, 0, -384, 0, 0, 0, 0, -24, -152, 0, 0, 80, 48, -80, 0, 0, 0, 0, 80, 0, 160, -128, -96, 64, 0, 16, -208, -8, -312, -16, -72, 0, 392, 0, -32, -16, 0, -120, 0, 0, 64, 0, 0, 80, -64, 0, 160, 8, 8, 0, -176, 0, 0, 144, 0, 112, 16, -48, 32, 0, -72, 32, 112, -8, 0, -32, 0, -64, 40, 80, -176, 0, 16, 0, 0, -96, 0, -232, 128, 64, 0, 16, 208, 0, 0, -40, 0, 0, -200, 0, 104, -160, 192, -64, 0, -48, 16, -32, -96, 16, 416, 0, -24, -24, -80, 56, 0, 64, 0, 0, 240, 0, -144, -48, -48, 0, 32, -104, -272, 0, 32, 0, 0, 0, 0, 40, 32, -64, -312, 0, 32, 128, -24, -48, 0, -72, 0, -64, -64, 112, 152, 0, -176, 0, 0, -48, 0, 136, -136, 96, 0, 48, -48, 56, 0, 80, 0, 0, 160, 0, -32, 80, 128, -48, 0, 64, 80, -24, 8, 32, 64, 0, -160, 56, -192, 0, 0, 0, 0, 0, 64, 0, -32, 48, -96, 0, 16, -144, -280, 0, -304, 0, 0, -80, 0, 0, 480, -88, -96, 0, 136, 64, 88, -8, -144, 192, 0, -8, -128, 0, -64, 0, 200, 0, 0, -88, 0, 176, 416, 0, 0, 48, 48, 16, 0, 0, 0, 0, 0, 0, 512, 0, -16, 160, 0, -96, 64, 112, 256, 0, 104, 0, -32, -8, 48, 32, 0, -48, 0, 0, 48, 0, -96, -64, 288, 0, -32, 8, -88, 0, 56, 0, 0, -16, 0, 144, -64, 16, -24, 0, 32, -48, -280, -8, -128, 40, 0, -80, 128, 0, 64, 0, -136, 0, 0, 72, 0, 48, -16, -80, 0, -32, 88, -104, 0, -96, 0, 0, -176, 0, 0, -80, 48, 0, 0, -224, 16, -64, -16, 96, -48, 0, -64, 64, 80, -80, 0, -240, 0, 0, -320, 0, -192, 112, 16, 0, -480, 16, -144, 0, 8, 0, 0, 8, 0, -8, 16, 32, -80, 0, 8, -192, -64, -40, -64, 128, 0, -96, -24, -96, 64, 0, -112, 0, 0, 96, 0, 8, 32, 112, 0, -224, 32, -64, 0, 56, 0, 0, 216, 0, 224, 128, -40, -88, 0, 0, -192, -112, 176, -192, 264, 0, 48, 24, 32, -200, 0, 56, 0, 0, -40, 0, -144, -8, 48, 0, 48, 120, 272, 0, -16, 0, 0, -112, 0, -8, -96, -32, -32, 0, -176, 0, 72, 136, 112, -8, 0, 48, 368, -64, -48, 0, 48, 0, 0, 96, 0, -64, 144, -32, 0, 0, -8, -208, 0, -8, 0, 0, 8, 0, 24, -128, -8, -64, 0, 224, 544, -8, 96, 16, 0, 0, -8, 64, -80, -64, 0, 120, 0, 0, 56, 0, 8, 8, -336, 0, 352, 40, 88, 0, 128, 0, 0, -40, 0, 0, 16, 72, 224, 0, -32, 128, 112, -8, 0, 232, 0, -8, -80, -32, 0, 0, 8, 0, 0, -8, 0, 40, 72, -96, 0, -48, 208, 16, 0, -208, 0, 0, 240, 0, 32, 16, 304, 16, 0, 32, 64, 0, -280, 16, 128, 0, -160, -16, -224, 72, 0, -48, 0, 0, 32, 0, 256, -64, 192, 0, 240, -24, -320, 0, -40, 0, 0, -16, 0, 64, -48, -72, -184, 0, -96, 16, 56, -64, -80, 0, 0, -56, -32, 48, -80, 0, -48, 0, 0, -312, 0, 0, 224, -192, 0, 96, 96, -8, 0, 8], "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, 35, 6, 1, 4, 0]], "char_orbit_index": 13, "prim_orbit_index": 6, "minimal_twist": "1470.2.m.c", "char_is_minimal": true, "conrey_index": 97, "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], [1, 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, -1, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, -1, 0, 1, -1, 1, 0, 1, -1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 1, 0, -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], [0, -1, 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, -1, 0, 0, 2, 1, -1, 1, -3, 0, 0, 1, -1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [4, 0, 1, 1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 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, -1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0], [0, -1, 0, 1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 1, 0, 1], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 4, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, -1], [0, 0, 1, 0, -1, 0, 1, 1, -1, 0, -1, 0, 0, 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, 0], [0, 0, 1, 0, -1, 0, 2, 1, 0, 0, -2, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, -1, 0, -1, 1, -2, 0, -1, -2, -1, -1, 0, -1, -1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, -1, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0], [0, 0, 1, 0, 1, 0, -1, 1, -1, 0, -1, 3, -1, 1, 0, 1], [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, 1, -1, -1, -2, -1, -1, -1, 0, -1, 0, -2, 0, 1, 0, 1], [0, -1, 0, -1, 0, -1, -3, 0, 0, 0, 0, 0, 0, 1, 0, -1], [0, 0, 1, 0, -1, 0, 1, 1, -1, 0, -1, 0, 0, 0, 0, -1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, -1, 1, 0, 0, -2, 1, 0, -2, -1, -2, 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, 3, 0, 1, 0, -3, 0, 0, 0, 0, 0, 0, -1], [0, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0], [0, 1, 0, 2, -3, -2, 1, 0, 3, 0, 4, 0, 0, 2, 0, -1], [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, 2, 0, 0, 2, 0, -1, 0, 0], [0, 0, 1, 0, 1, 0, -1, 1, -1, 0, -1, 3, -1, 1, 0, 1], [0, 0, 0, -1, 1, 1, 0, 1, -2, 0, 0, 1, 0, -1, 0, 0], [1, 2, -1, 1, -3, 0, 2, -1, 4, 1, -2, -1, 0, 1, 0, -2], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 1, 0, -5, 5, -3, 0, -1, 3, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, -1, 0, -1, -3, 0, 0, 0, 0, 0, 0, 1, 0, -1], [1, 0, 0, -1, 1, 2, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0], [-4, -1, 0, -1, -3, 0, 0, -3, 3, 1, 1, -2, -2, 2, -1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 1, -1, 1, -4, 0, 3, 4, 2, 1, -2, 0, 0, 0, -1, 1], [0, 1, 1, 0, -1, 1, 1, 2, -1, -1, 2, 2, -1, 0, -1, -1], [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], [4, 0, 0, 0, 1, -1, 0, 1, 2, 0, 0, -1, 1, 1, -1, 1], [0, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0], [-4, -2, 1, -1, -1, 2, 2, 2, 0, 1, 0, -1, 1, 1, -1, -2], [0, 0, 1, -1, 1, -1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -2, 0, -2, 0, 2, -2, 2, -1, 1, 0, -1, 1, 0, -2], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, -1, 2, -3, 1, 0, 0, 0, -1, -2, 0, 2, -1], [0, 1, 0, 1, -1, -2, 0, 1, -2, 1, 1, 0, 1, 1, -1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, -1, 0, 0], [0, 1, 0, 0, 0, -2, 0, 0, 0, 1, 1, 0, -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, 0, 1, -2, 0, 0, 1, 0, -1, 0, 0], [0, 1, -1, 1, 4, -2, 3, -4, 2, 1, -2, 0, 1, 1, -1, 1], [0, 0, 0, -1, 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, -1, 0, 2, 0, 2, -2, -1, 2, 2, -1, -1, -1, 0], [0, -1, 1, 1, 2, 0, 5, 2, 0, 1, 0, 2, 1, -1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 1, 0, 0, -2, -1, 5, -1, 7, 0, 0, -1, 1, 1, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 1, -1, 0, 0], [1, 0, 0, -1, 1, 2, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, -1, 0, 0, 1, -1, 0, -1, 0], [4, 2, -2, 0, -3, 0, 2, -3, 3, -2, 0, -4, -1, 1, 0, -2], [0, 0, 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, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, -1, 0, 1, 0], [0, 1, 1, 0, -1, 1, 1, 2, -1, -1, 2, 2, -1, 0, -1, -1], [-4, -2, 0, 0, 0, 0, 0, 0, 0, 2, 2, -3, 1, -1, 0, 0], [4, 0, -1, 3, 4, 0, 5, -4, 0, 0, 1, 0, 0, 0, -1, -1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -2, 1, 1, 1, 4, -2, -1, 0, -1, 2, -1, -1, 1, -1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, -1, -1, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, 0, 2, -1, 0, -2, 1, 0, 0, 0]]}