1matrix(QQ, 2 [[0, 1], 3 [-1, 0]]) 4matrix(QQ, 5 [[0, 1], 6 [-1, 0]]) 7matrix(QQ, 8 [[0, 1], 9 [-1, 0]]) 10matrix(QQ, 11 [[0, 1, 0, 0, 1, 0], 12 [-1, 0, 0, 0, 0, 1], 13 [0, 0, 0, 1, 0, 0], 14 [0, 0, -1, 0, 0, 0], 15 [0, 0, 0, 0, 0, 1], 16 [0, 0, 0, 0, -1, 0]]) 17z^6 +3*z^4 +3*z^2 +1 18z^6 +3*z^4 +3*z^2 +1 19z^4 +2*z^2 +1 20matrix(QQ, 21 [[0, 0, 0, 0, 0, 0], 22 [0, 0, 0, 0, 0, 0], 23 [0, 0, 0, 0, 0, 0], 24 [0, 0, 0, 0, 0, 0], 25 [0, 0, 0, 0, 0, 0], 26 [0, 0, 0, 0, 0, 0]]) 27matrix(QQ, 28 [[0, 0, 0, 0, 0, 0], 29 [0, 0, 0, 0, 0, 0], 30 [0, 0, 0, 0, 0, 0], 31 [0, 0, 0, 0, 0, 0], 32 [0, 0, 0, 0, 0, 0], 33 [0, 0, 0, 0, 0, 0]]) 34[1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1] 35[0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0] 36matrix(QQ, 37 [[1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], 38 [0, 1, 0, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0], 39 [-1, 0, 0, 0, 0, 2, 0, -1, 0, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1]]) 40[] 41[] 42[[1, 0, 2, 0, 1]] 43matrix(QQ, 44 [[0, 0, 0, 0, 0, 0], 45 [0, 0, 0, 0, 0, 0], 46 [0, 0, 0, 0, 0, 0], 47 [0, 0, 0, 0, 0, 0], 48 [0, 0, 0, 0, 0, 0], 49 [0, 0, 0, 0, 0, 0]]) 50matrix(QQ, 51 [[0, 0, 0, 0, 0, 0], 52 [0, 0, 0, 0, 0, 0], 53 [0, 0, 0, 0, 0, 0], 54 [0, 0, 0, 0, 0, 0], 55 [0, 0, 0, 0, 0, 0], 56 [0, 0, 0, 0, 0, 0]]) 57true 58matrix(QQ, 59 [[0, 1, 1, 0, 0, 0], 60 [-1, 0, 0, 1, 0, 0], 61 [0, 0, 0, 1, 1, 0], 62 [0, 0, -1, 0, 0, 1], 63 [0, 0, 0, 0, 0, 1], 64 [0, 0, 0, 0, -1, 0]]) 65z^6 +3*z^4 +3*z^2 +1 66z^6 +3*z^4 +3*z^2 +1 67true 68record[RemainingFactor := 1, factors := [z^2 +1], multiplicities := [3]] 69record[RemainingFactor := 1, factors := [z^2 +1], multiplicities := [2]] 70record[RemainingFactor := 1, factors := [z^2 +1], multiplicities := [3]] 71z^3 +4*z^2 +4*z 72record[RemainingFactor := 1, factors := [z, z +2], multiplicities := [1, 2]] 73z^2 +2*z 74record[RemainingFactor := 1, factors := [z +2, z], multiplicities := [1, 1]] 75z^3 +2*z^2 -7*z +4 76[z +4, z -1] 77z^2 +3*z -4 78[z +4, z -1] 79[] 80[] 81[[0, 0, 1]] 82matrix(QQ, 83 [[1, 0, 0], 84 [0, 0, 0], 85 [0, 0, 0]]) 86[[0, 1, 0], [0, 0, 1]] 87matrix(QQ, 88 [[1, 0, 0], 89 [0, 0, 0], 90 [0, 0, 0]]) 91[[0, 1, 0], [0, 0, 1]] 92z^3 -z^2 -2*z +2 93[z -1, z^2 -2] 94[z -1, z^2 -2] 95[z -1, z^2 -2] 96matrix(QQ, 97 [[-1/5], 98 [1], 99 [1]]) 100[[-1/5, 1, 1]] 101[[0, 1, 0], [0, 0, 1]] 102[[-1/5, 1, 1]] 103[[0, 1, 0], [0, 0, 1]] 104[z -1, z] 105[1, 2] 106matrix(QQ, 107 [[0, 0, 0], 108 [0, -1, 0], 109 [0, 1, -1]]) 110[[1, 0, 0]] 111matrix(QQ, 112 [[0], 113 [0], 114 [0]]) 115matrix(QQ, 116 [[1, 0, 0], 117 [0, 0, 0], 118 [0, 1, 0]]) 119[[0, 1, 0], [0, 0, 1]] 120matrix(QQ, 121 [[0, 0], 122 [0, 0], 123 [1, 0]]) 124matrix(QQ, 125 [[0, 0], 126 [0, 0], 127 [0, 0]]) 128matrix(QQ, 129 [[0, 0], 130 [-1, 0], 131 [1, -1]]) 132matrix(QQ, 133 [[1], 134 [0], 135 [0]]) 136[1, 2] 137[[1, 0, 0]] 138[[1, 0, 0]] 139[[0, 0, 1]] 140[[0, 1, 0], [0, 0, 1]] 141[z -1] 142[2] 143[[1, 0]] 144true 145