# Stored data for newform 1444.2.e.h, downloaded from the LMFDB on 28 December 2024.
{"Nk2": 5776, "analytic_conductor": 11.530398051872888, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 19, "char_degree": 2, "char_is_minimal": false, "char_is_real": false, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 3, "char_parity": 1, "char_values": [1444, 3, [723, 1085], [3, 2]], "cm_discs": [], "conrey_index": 429, "dim": 12, "field_disc": 3715908364979001, "field_disc_factorization": [[3, 18], [19, 2], [163, 2]], "field_poly": [4161, 4446, -2088, -3969, 267, 1659, 64, -426, -15, 70, -3, -6, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[3, [361, 741, 1806, 441, 1107, -240, 709, -192, 147, -27, 18, -3, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525472303056292, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 9, "hecke_ring_index_factorization": [[3, 2]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "1444.2.e.h", "level": 1444, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 19], "level_radical": 38, "minimal_twist": "76.2.i.a", "prim_orbit_index": 3, "qexp_display": "q+(-\\beta _{5}-\\beta _{11})q^{3}+\\beta _{9}q^{5}+(-1+\\beta _{1}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "1.2.3.c3", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1444.2.e", "trace_display": [0, 3, 3, -6], "trace_hash": 606465675231605894, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "11.199", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "523.122", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "47262.473", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.011", "prec": 17}, "traces": [0, 12, 0, 3, 0, 3, 0, -6, 0, -9, 0, -6, 0, 12, 0, 0, 0, 6, 0, 0, 0, 21, 0, 0, 0, -9, 0, -18, 0, 21, 0, 12, 0, 9, 0, -3, 0, 12, 0, 60, 0, 36, 0, 18, 0, -48, 0, -30, 0, -18, 0, 24, 0, 18, 0, 15, 0, 0, 0, 21, 0, -9, 0, -6, 0, -66, 0, 18, 0, -66, 0, -12, 0, 24, 0, -42, 0, 24, 0, 9, 0, 6, 0, -6, 0, 12, 0, 36, 0, 45, 0, 9, 0, 0, 0, 0, 0, 15, 0, 33, 0, 3, 0, 30, 0, 6, 0, 6, 0, 3, 0, 18, 0, -18, 0, 36, 0, 18, 0, -9, 0, -18, 0, -3, 0, -54, 0, -21, 0, 12, 0, 33, 0, 0, 0, -42, 0, -6, 0, -6, 0, 12, 0, -21, 0, -12, 0, -33, 0, 0, 0, 48, 0, -12, 0, 6, 0, -3, 0, 48, 0, -12, 0, 66, 0, -27, 0, -9, 0, -18, 0, 0, 0, 18, 0, 6, 0, -6, 0, -24, 0, 6, 0, 96, 0, 60, 0, -42, 0, 12, 0, -102, 0, -57, 0, 12, 0, -42, 0, 12, 0, 18, 0, -21, 0, -36, 0, -33, 0, 0, 0, -9, 0, -63, 0, 27, 0, -6, 0, -12, 0, -48, 0, -57, 0, -24, 0, -72, 0, -66, 0, -66, 0, -33, 0, 84, 0, 66, 0, -72, 0, 3, 0, -30, 0, -57, 0, 0, 0, -24, 0, 42, 0, 18, 0, 210, 0, -3, 0, 66, 0, 51, 0, 3, 0, 90, 0, 36, 0, 48, 0, 21, 0, 96, 0, -39, 0, -72, 0, -102, 0, 36, 0, 33, 0, 0, 0, -30, 0, -42, 0, -18, 0, -108, 0, -84, 0, -78, 0, 39, 0, -3, 0, 162, 0, -126, 0, -63, 0, -60, 0, -48, 0, 54, 0, 114, 0, -12, 0, -39, 0, -45, 0, 0, 0, -21, 0, 36, 0, 51, 0, 144, 0, -75, 0, 162, 0, -15, 0, -24, 0, -192, 0, -12, 0, -78, 0, -63, 0, 90, 0, 21, 0, 72, 0, -6, 0, -81, 0, 12, 0, 0, 0, -114, 0, -33, 0, -57, 0, -24, 0, 39, 0, 18, 0, -108, 0, -57, 0, -18, 0, -204, 0, -18, 0, 30, 0, 42, 0, 24, 0, -42, 0, -39, 0, 45, 0, -36, 0, 0, 0, 39, 0, 27, 0, 36, 0, 6, 0, 15, 0, -48, 0, 36, 0, 96, 0, -6, 0, -42, 0, -18, 0, 18, 0, -6, 0, 72, 0, -6, 0, -51, 0, -3, 0, 45, 0, 0, 0, -60, 0, 21, 0, 99, 0, 54, 0, -27, 0, -84, 0, 27, 0, 48, 0, 42, 0, 12, 0, -3, 0, -21, 0, 48, 0, 9, 0, 36, 0, -30, 0, 54, 0, -18, 0, 0, 0, 51, 0, -12, 0, -54, 0, 6, 0, 0, 0, -108, 0, -45, 0, -69, 0, 138, 0, 48, 0, 84, 0, 45, 0, -36, 0, -87, 0, 60, 0, 51, 0, 75, 0, -42, 0, 0, 0, 24, 0, 30, 0, -81, 0, -150, 0, 60, 0, 60, 0, 39, 0, -12, 0, -168, 0, 66, 0, 39, 0, 30, 0, -138, 0, 9, 0, -54, 0, 93, 0, -12, 0, 39, 0, 0, 0, -72, 0, -9, 0, -27, 0, 48, 0, 12, 0, 24, 0, -36, 0, 48, 0, -180, 0, 96, 0, -72, 0, -81, 0, 0, 0, 33, 0, -72, 0, 18, 0, -63, 0, 66, 0, 0, 0, 99, 0, -12, 0, 63, 0, -18, 0, -39, 0, 48, 0, -18, 0, 42, 0, 24, 0, 168, 0, 126, 0, -18, 0, 12, 0, -99, 0, 126, 0, 81, 0, -45, 0, 36, 0, 0, 0, 57, 0, -12, 0, 27, 0, -270, 0, 12, 0, -6, 0, 78, 0, -9, 0, 276, 0, -66, 0, 6, 0, 117, 0, -12, 0, -51, 0, -174, 0, 75, 0, 30, 0, 15, 0, 0, 0, 117, 0, 0, 0, -54, 0, 150, 0, 159, 0, -162, 0, -12, 0, -3, 0, 12, 0, 222, 0, 75, 0, 6, 0, -162, 0, -57, 0, -120, 0, -24, 0, 3, 0, 3, 0, 0, 0, 33, 0, 33, 0, -45, 0, 60, 0, -18, 0, -24, 0, 45, 0, -9, 0, -120, 0, 252, 0, 96, 0, 51, 0, -132, 0, -129, 0, 60, 0, 72, 0, 108, 0, -21, 0, 0, 0, 45, 0, -54, 0, -60, 0, -150, 0, 33, 0, 282, 0, 66, 0, -42, 0, 138, 0, 66, 0, -36, 0, 120, 0, -78, 0, -27, 0, 0, 0, 30, 0, 60, 0, 36, 0, 0, 0, 66, 0, -96, 0, 3, 0, -306, 0, 102, 0, -24, 0, -99, 0, -48, 0, -210, 0, 48, 0, 135, 0, -42, 0, -60, 0, 57, 0, -12, 0, 138, 0, -27, 0, -3, 0, 0, 0, 90, 0, 108, 0, 48, 0, 126, 0, 57, 0, -132, 0, 51, 0, 75, 0, -126, 0, 120, 0, 3, 0, -9, 0, 132, 0, -93, 0, -120, 0, 27, 0, -18, 0, 69, 0, 0, 0, 12, 0, 45, 0, -84, 0, -66, 0, -9, 0, -222, 0, -81, 0, 39, 0, 252, 0, -108, 0, 15, 0, 18, 0, -96, 0, 57, 0, 168, 0, -63, 0, -90, 0, -36, 0, 0, 0, -30, 0, 9, 0, 42, 0, 78, 0, -99, 0, 18, 0, 45, 0, 24, 0, -12, 0, 24, 0, -51, 0, 0, 0, 72, 0, 24, 0, 66, 0, -75, 0, 102, 0, 39, 0, 0, 0, -180, 0, -48, 0, -33, 0, -54, 0, 147, 0, 102, 0, -39, 0, -78, 0, 84, 0, -30, 0, 6, 0, -42, 0, 18, 0, -51, 0, 60, 0, 84, 0, 30, 0, -84, 0, 0, 0, 54, 0, 30, 0, -6, 0, 72, 0, -90, 0, 138, 0, -21, 0, 51, 0, -210, 0, 24, 0, 24, 0, 21, 0, -66, 0, -48, 0, -150, 0, -21, 0, -18, 0, 135, 0, 0, 0, 30, 0, -36, 0, 168, 0, 48, 0, -3, 0, -6, 0, -6, 0, 171, 0, -162, 0, -18, 0, -108, 0, -69, 0, 0, 0, 141, 0, -42, 0, -30, 0, 39, 0, 54, 0, 0, 0, 39, 0, 153, 0, -54, 0, 96, 0, -135, 0, 30, 0, 36, 0, -57, 0, 240, 0, -108, 0, 144, 0, 57, 0, 0, 0, 24, 0, 18, 0, -15, 0, -132, 0, 51, 0, 0, 0, -105, 0, -87, 0, -33, 0, -108, 0, -138, 0, -222, 0, -33, 0, -57, 0, -126, 0, -120, 0, -150, 0, -81, 0, 12, 0, 87, 0, 138, 0, -15, 0, 48, 0, -225, 0, 0, 0, -159, 0, 72, 0, -36, 0, 102, 0, 57, 0, 132, 0, 27, 0, -36, 0, -180, 0, -108, 0, -84, 0, -51, 0, 126, 0, 33, 0, -24, 0, -78, 0, 12, 0, -81, 0, 0, 0, 9, 0, -141, 0, -66, 0, -12, 0, 0, 0, -522, 0, -159, 0, 57, 0, 156, 0, -246, 0, 33, 0, -60, 0, 258, 0, 87, 0, 180, 0, -138, 0, 48, 0, -81, 0, 0, 0, -60, 0, 102, 0, 243, 0, 114, 0, 141, 0, 108, 0, 90, 0, 27, 0, 132, 0, 12, 0, -48, 0, -27, 0, 150, 0, 75, 0, 36, 0, 45, 0, -45, 0, 45, 0, 0, 0, -63, 0, -108, 0, -9, 0, -126, 0, -120, 0, 144, 0, 87, 0, -114, 0, 180, 0, -204, 0, -114, 0, 21, 0, 102, 0, -18, 0, -36, 0, 6, 0, -57, 0, -54, 0, 0, 0, 30, 0, -27, 0, 9, 0, 84, 0, 54, 0, 480, 0, 18, 0, -87, 0, -264, 0, -96, 0, -132, 0, 18, 0, -234, 0, 24, 0, -144, 0, -195, 0, -27, 0, 18, 0, 0, 0, -102, 0, 33, 0, -48, 0, 180, 0, -57, 0, 150, 0, 27, 0, -24, 0, 66, 0, -144, 0, -21, 0, 54, 0, 30, 0, -30, 0, -252, 0, -174, 0, -102, 0, 30, 0, 0, 0, 105, 0, -24, 0, -18, 0, 330, 0, -171, 0, -324, 0, 75, 0, -111, 0, 186, 0, -48, 0, 9, 0, 9, 0, -90, 0, -48, 0, 78, 0, -81, 0, -51, 0, -123, 0, 0, 0, 15, 0, -69, 0, 72, 0, -204, 0, -153, 0, 204, 0, -168, 0, 48, 0, -126, 0, -150, 0, -51, 0, 27, 0, 156, 0, 51, 0, 222, 0, 60, 0, 33, 0, 15, 0, 0, 0, 51, 0, -21, 0, -27, 0, 126, 0, -15, 0, 180, 0, -27, 0, -33, 0, 198, 0, 84, 0, -18, 0, -129, 0, 18, 0, -33, 0, -96, 0, 3, 0, 90, 0, -6, 0, 0, 0, -198, 0, 141, 0, -39, 0, 108, 0, 36, 0, 78, 0, -111, 0, 39, 0, 6, 0, 120, 0, -120, 0, -75, 0, 180, 0, 93, 0, 336, 0, -12, 0, -276, 0, 48, 0, 0, 0, -225, 0, 42, 0, 42, 0, 120, 0, -48, 0, 234, 0, 243, 0, 27, 0, 120, 0, -234, 0, -186, 0, -135, 0, 102, 0, 51, 0, -102, 0, -84, 0, 33, 0, 0, 0, 0, 0, -45, 0, -162, 0, 96, 0, 108, 0, 123, 0, -228, 0, 6, 0, -132, 0, -216, 0, -144, 0, 63, 0, -48, 0, 318, 0, 18, 0, -144, 0, 81, 0, -165, 0, -84, 0, 0, 0, 99, 0, 66, 0, -24, 0, -168, 0, 99, 0, -120, 0, 15, 0, 39, 0, 102, 0, -12, 0, 153, 0, 120, 0, 180, 0, -72, 0, -108, 0, -93, 0, 39, 0, -57, 0, 0, 0, 54, 0, -45, 0, 33, 0, -102, 0, -126, 0, -192, 0, 36, 0, -63, 0, 36, 0, 282, 0, -90, 0, -45, 0, -330, 0, 27, 0, -186, 0, 135, 0, 156, 0, -45, 0, 0, 0, 45, 0, 9, 0, -111, 0, -114, 0, -204, 0, -42, 0, -63, 0, 57, 0, -150, 0, 360, 0, 171, 0, 102, 0, -150, 0, -30, 0, 426, 0, 15, 0, 138, 0, 132, 0, 0, 0, 15, 0, 60, 0, -54, 0, 84, 0, -87, 0, 204, 0, -141, 0, -12, 0, -6, 0, -174, 0, 48, 0, 42, 0, -600, 0, 30, 0, -264, 0, 0, 0, 210, 0, 21, 0, 0, 0, 117, 0, 3, 0, 54, 0, 168, 0, 165, 0, -114, 0, -36, 0, 171, 0, -276, 0, -84, 0, -63, 0, 108, 0, 78, 0, 69, 0, -48, 0, -60, 0, -120, 0, 18, 0, 0, 0, 36, 0, 102, 0, 60, 0, 66, 0, 93, 0, -126, 0, 126, 0, 192, 0, 108, 0, -258, 0, -51, 0, 6, 0, 186, 0, -21, 0, 222, 0, -51, 0, 54, 0, -90, 0, 0, 0, 9, 0, -171, 0, -78, 0, -168, 0, 198, 0, -30, 0, -57, 0, -135, 0, 258, 0, -204, 0, 96, 0, 105, 0, -72, 0, -93, 0, 48, 0, 144, 0, 33, 0, -45, 0, 0, 0, -102, 0, 72, 0, 66, 0, -162, 0, 45, 0, -264, 0, 228, 0, -75, 0, 6, 0, 222, 0, 33, 0, -51, 0, 414, 0, 57, 0, -96, 0, 66, 0, -159, 0, 102, 0, 0, 0, -99, 0, -132, 0, -15, 0, -288, 0, 123, 0, 138, 0, -180, 0, -87, 0, -324, 0, 234, 0, -18, 0, -189, 0, -180, 0, -30, 0, -210, 0, 87, 0, -180, 0, 33, 0, 0, 0, 177, 0, -66, 0, 75, 0, -372, 0, -15, 0, -6, 0, 6, 0, 174, 0, 18, 0, 84, 0, 165, 0, -18, 0, 12, 0, -84, 0, 414, 0, 96, 0, 165, 0, 267, 0, 0, 0, -75, 0, 153, 0, 84, 0, -150, 0, -48, 0, 78, 0, -102, 0, -9, 0, 54, 0, -48, 0, 6, 0, -162, 0, -102, 0, 144, 0, -198, 0, -57, 0, -54, 0, 24, 0, 0, 0, 123, 0, 183, 0], "weight": 2, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "fricke_eigenval": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[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, -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, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 0, 1, -1, 0, 0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 0, 0, -1, 0, 0, -1, 0, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 1, -1, 0, 0, -1, -1, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, -1, 1, 0, 0, 0, -1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, -4, 3, -1, 0, 0, 0, 4, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -2, 0, 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, 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, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -3, 0, -1, 0, 0, -1, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -3, 0, 0, 0, 0, 0, 3, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -3, 0, 0, 0, 0, 0, 0, -1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 2, 0, 0, 0, 0, 1, -2, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, -2, 2, 1, -1, 2, 2, 1, 1, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 1, -1, 0, 3, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 3, -1, 1, 1, -1, 1, 1, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 2, -1, 0, 2, -2, 0, 0, -2, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 1, -1, 0, 0, 0, 0, -6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, 0, 1, 0, 0, -1, -1, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, 6, -6, -1, -1, 1, -1, -1, 0, -2, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 3, 0, 3, 1, 0, 0, 1, 0, 0, 2, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 1, -1, 1, 1, 1, 2, -1, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, -6, 0, -6, -1, 0, 0, -1, 0, 0, 2, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, -2, 3, 1, 0, 0, 0, 2, 0, 1, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -4, 0, 0, -1, 0, 0, 0, 0, -3], [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], [0, 0, 0, -3, 0, -1, 0, 0, -6, 2, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 1, -1, 1, 3, 0, 0, 1, 1, 0, -1, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -4, -1, -1, 0, 0, 1, 4, 0, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, -3, 1, 1, 2, -2, 1, 1, -1, 2, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -2, 3, -2, -1, 0, 0, -2, -3, 0, 1, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, -3, -1, -3, -1, 1, -3, -3, -2, -3, -3, -5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, -3, -1, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 1, 0, 3, 1, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, 3, -5, -3, -2, 2, -3, -3, -1, -4, -4, -5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, -3, -3, 1, -2, 2, 1, 1, 3, 1, 1, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 1, 0, 2, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -3, 0, -1, 0, 0, -6, -1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 1, -1, 1, 1, 1, 2, 3, 3, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 5, 0, 4, 0, 0, 2, -5, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 5, 2, 4, -4, 2, 2, -2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 1, 0, 0, 0, 0, 2, -1, 0, 1, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 5, -4, 5, 3, 0, 0, 1, 4, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -5, 0, -3, -2, 0, 2, -1, 0, -3], [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], [0, 0, 0, -1, 0, 1, -4, 0, 0, -2, 0, -5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 3, -7, 3, -2, 0, 0, 2, 7, 0, 1, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}