diff --git a/core/lib/Drupal/Component/Utility/Rectangle.php b/core/lib/Drupal/Component/Utility/Rectangle.php
index 72815b5..d91fd4f 100644
--- a/core/lib/Drupal/Component/Utility/Rectangle.php
+++ b/core/lib/Drupal/Component/Utility/Rectangle.php
@@ -11,19 +11,21 @@
  * Rectangle rotation algebra class.
  *
  * This class is used by the image system to abstract, from toolkit
- * implementations, the calculation of the expected dimensions resulting
- * from an image rotate operation.
+ * implementations, the calculation of the expected dimensions resulting from
+ * an image rotate operation.
  *
- * Different versions of PHP for the GD toolkit, and alternative toolkits,
- * use different algorithms to perform the rotation of an image and result
- * in different dimensions of the output image. This prevents predictability
- * of the final image size for instance by the image rotate effect, and by the
- * image toolkit rotate operation.
+ * Different versions of PHP for the GD toolkit, and alternative toolkits, use
+ * different algorithms to perform the rotation of an image and result in
+ * different dimensions of the output image. This prevents predictability of
+ * the final image size for instance by the image rotate effect, or by image
+ * toolkit rotate operations.
  *
  * This class implements a calculation algorithm that returns, given input
  * width, height and rotation angle, dimensions of the expected image after
- * rotation that are consistent with those produced by the imagerotate()
- * function in PHP 5.5 and above.
+ * rotation that are consistent with those produced by the GD rotate image
+ * toolkit operation using PHP 5.5 and above.
+ *
+ * @see \Drupal\system\Plugin\ImageToolkit\Operation\gd\Rotate
  */
 class Rectangle {
 
@@ -56,13 +58,6 @@ class Rectangle {
   protected $boundingHeight;
 
   /**
-   * The imprecision factor to use for calculations.
-   *
-   * @var float
-   */
-  protected $imprecision = 0.00001;
-
-  /**
    * Constructs a new Rectangle object.
    *
    * @param int $width
@@ -71,12 +66,15 @@ class Rectangle {
    *   The height of the rectangle.
    */
   public function __construct($width, $height) {
-    if ($width >= 0 && $height >= 0) {
+    if ($width > 0 && $height > 0) {
       $this->width = $width;
       $this->height = $height;
       $this->boundingWidth = $width;
       $this->boundingHeight = $height;
     }
+    else {
+      throw new \InvalidArgumentException("Invalid dimensions ({$width}x{$height}) specified for a Rectangle object");
+    }
   }
 
   /**
@@ -88,61 +86,39 @@ public function __construct($width, $height) {
    * @return $this
    */
   public function rotate($angle) {
-    // Keep a copy of the signed input angle, reduced to the -360 to 360
-    // degrees range.
-    $degrees = $angle;
-    while ($degrees > 360) {
-      $degrees -= 360;
-    }
-    while ($degrees < -360) {
-      $degrees += 360;
-    }
-
-    // For rotations that are not multiple of 90 degrees, we need to match
-    // GD that uses C floats internally, whereas we at PHP level use C
-    // doubles. We correct that using an imprecision. Also, we need to
-    // introduce a correction factor of 0.5 to match the GD algorithm used
-    // in PHP 5.5+ to calculate the new width and height of the rotated
-    // image.
-    if ((((int) $angle) === $angle) && ($angle % 90 === 0)) {
+    // PHP 5.5 GD bug: https://bugs.php.net/bug.php?id=65148: To prevent buggy
+    // behavior on negative multiples of 30 degrees we convert any negative
+    // angle to a positive one between 0 and 360 degrees.
+    $angle -= floor($angle / 360) * 360;
+
+    // For some rotations that are multiple of 30 degrees, we need to correct
+    // an imprecision between GD that uses C floats internally, and PHP that
+    // uses C doubles. Also, for rotations that are not multiple of 90 degrees,
+    // we need to introduce a correction factor of 0.5 to match the GD
+    // algorithm used in PHP 5.5 (and above) to calculate the width and height
+    // of the rotated image.
+    if ((int) $angle == $angle && $angle % 90 == 0) {
       $imprecision = 0;
       $correction = 0;
     }
     else {
-      $imprecision = $this->imprecision;
+      $imprecision = -0.00001;
       $correction = 0.5;
     }
 
-    // The GD imagerotate function normalizes angles to be between 0 (incl.)
-    // and 360 (excl.).
-    while ($angle >= 360) {
-      $angle -= 360;
-    }
-    while ($angle < 0) {
-      $angle += 360;
-    }
-
     // Do the trigonometry, applying imprecision fixes where needed.
     $rad = deg2rad($angle);
     $cos = cos($rad);
     $sin = sin($rad);
-    if ((((int) $degrees) === $degrees) && (in_array($degrees, [60, 300, -240, 150]))) {
-      $a = $this->fixImprecision($this->width * $cos, -$imprecision);
-      $b = $this->fixImprecision($this->height * $sin + $correction, -$imprecision);
-      $c = $this->fixImprecision($this->width * $sin, -$imprecision);
-      $d = $this->fixImprecision($this->height * $cos + $correction, -$imprecision);
-    }
-    elseif ((((int) $degrees) === $degrees) && (in_array($degrees, [-150, -330]))) {
-      $a = $this->fixImprecision($this->width * $cos, $imprecision);
-      $b = $this->fixImprecision($this->height * $sin + $correction, $imprecision);
-      $c = $this->fixImprecision($this->width * $sin, $imprecision);
-      $d = $this->fixImprecision($this->height * $cos + $correction, $imprecision);
-    }
-    else {
-      $a = $this->width * $cos;
-      $b = $this->height * $sin + $correction;
-      $c = $this->width * $sin;
-      $d = $this->height * $cos + $correction;
+    $a = $this->width * $cos;
+    $b = $this->height * $sin + $correction;
+    $c = $this->width * $sin;
+    $d = $this->height * $cos + $correction;
+    if ((int) $angle == $angle && in_array($angle, [60, 150, 300])) {
+      $a = $this->fixImprecision($a, $imprecision);
+      $b = $this->fixImprecision($b, $imprecision);
+      $c = $this->fixImprecision($c, $imprecision);
+      $d = $this->fixImprecision($d, $imprecision);
     }
 
     // This is how GD on PHP5.5 calculates the new dimensions.
diff --git a/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php b/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php
index e4fd6c9..bb01113 100644
--- a/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php
+++ b/core/tests/Drupal/Tests/Component/Utility/RectangleTest.php
@@ -17,7 +17,40 @@
 class RectangleTest extends UnitTestCase {
 
   /**
-   * Tests getting image dimensions after a rotation operation.
+   * Tests wrong rectangle width.
+   *
+   * @covers ::rotate
+   *
+   * @expectedException \InvalidArgumentException
+   */
+  public function testWrongWidth() {
+    $rect = new Rectangle(-40, 20);
+  }
+
+  /**
+   * Tests wrong rectangle height.
+   *
+   * @covers ::rotate
+   *
+   * @expectedException \InvalidArgumentException
+   */
+  public function testWrongHeight() {
+    $rect = new Rectangle(40, 0);
+  }
+
+  /**
+   * Tests getting rectangle dimensions after a rotation operation.
+   *
+   * @param int $width
+   *   The width of the rectangle.
+   * @param int $height
+   *   The height of the rectangle.
+   * @param float $angle
+   *   The angle for rotation.
+   * @param int $exp_width
+   *   The expected width of the rotated rectangle.
+   * @param int $exp_height
+   *   The expected height of the rotated rectangle.
    *
    * @covers ::rotate
    * @covers ::getBoundingWidth
@@ -36,27 +69,28 @@ public function testRotateDimensions($width, $height, $angle, $exp_width, $exp_h
    * Provides data for image dimension rotation tests.
    *
    * This dataset sample was generated by running on PHP 5.5 the function below
-   * - first, on all integer rotation angles (-360 to 360) on a rectangle
-   *   40x20
-   * - second, on 500 random float rotation angle in the range -360 to 360 on
-   *   a rectangle 40x20
-   * - third, on 1000 rectangles of random WxH rotated to a random float
-   *   angle in the range -360 to 360
+   * - first, for all integer rotation angles (-360 to 360) on a rectangle
+   *   40x20;
+   * - second, for 500 random float rotation angle in the range -360 to 360 on
+   *   a rectangle 40x20;
+   * - third, on 1000 rectangles of random WxH rotated to a random float angle
+   *   in the range -360 to 360
    * - fourth, on 2000 rectangles of random WxH rotated to a random integer
-   *   angle multiple of 30 degrees in the range -360 to 360 (which is the
-   *   most tricky case).
-   * Using GD functions directly gives us true data coming from the GD library
-   * that can be used to match against the Rectangle class under test.
+   *   angle multiple of 30 degrees in the range -360 to 360 (which is the most
+   *   tricky case).
+   * Using the GD toolkit operations gives us true data coming from the GD
+   * library that can be used to match against the Rectangle class under test.
    * @code
    *   protected function rotateResults($width, $height, $angle, &$new_width, &$new_height) {
-   *     $background = array('red' => 255, 'green' => 255, 'blue' => 255, 'alpha' => 127);
-   *     $res = imagecreatetruecolor($width, $height);
-   *     $background_idx = imagecolorallocatealpha($res, $background['red'], $background['green'], $background['blue'], $background['alpha']);
-   *     $res_rotated = imagerotate($res, 360 - $angle, $background_idx);
-   *     $new_width = imagesx($res_rotated);
-   *     $new_height = imagesy($res_rotated);
-   *     imagedestroy($res);
-   *     imagedestroy($res_rotated);
+   *     $image = \Drupal::service('image.factory')->get(NULL, 'gd');
+   *     $image->createNew($width, $height);
+   *     $old_res = $image->getToolkit()->getResource();
+   *     $image->rotate($angle);
+   *     $new_width = $image->getWidth();
+   *     $new_height = $image->getHeight();
+   *     if (is_resource($old_res)) {
+   *       imagedestroy($old_res);
+   *     }
    *   }
    * @endcode
    *
@@ -102,7 +136,7 @@ public function providerPhp55RotateDimensions() {
       [ 40, 20, -333, 44, 36 ],
       [ 40, 20, -332, 44, 36 ],
       [ 40, 20, -331, 44, 36 ],
-      [ 40, 20, -330, 44, 37 ],
+      [ 40, 20, -330, 44, 36 ],
       [ 40, 20, -329, 44, 37 ],
       [ 40, 20, -328, 44, 38 ],
       [ 40, 20, -327, 44, 38 ],
@@ -132,7 +166,7 @@ public function providerPhp55RotateDimensions() {
       [ 40, 20, -303, 38, 44 ],
       [ 40, 20, -302, 38, 44 ],
       [ 40, 20, -301, 37, 44 ],
-      [ 40, 20, -300, 37, 44 ],
+      [ 40, 20, -300, 36, 44 ],
       [ 40, 20, -299, 36, 44 ],
       [ 40, 20, -298, 36, 44 ],
       [ 40, 20, -297, 36, 44 ],
@@ -192,7 +226,7 @@ public function providerPhp55RotateDimensions() {
       [ 40, 20, -243, 36, 43 ],
       [ 40, 20, -242, 36, 43 ],
       [ 40, 20, -241, 36, 43 ],
-      [ 40, 20, -240, 37, 43 ],
+      [ 40, 20, -240, 36, 43 ],
       [ 40, 20, -239, 37, 43 ],
       [ 40, 20, -238, 38, 43 ],
       [ 40, 20, -237, 38, 43 ],
@@ -282,7 +316,7 @@ public function providerPhp55RotateDimensions() {
       [ 40, 20, -153, 43, 35 ],
       [ 40, 20, -152, 43, 35 ],
       [ 40, 20, -151, 43, 35 ],
-      [ 40, 20, -150, 43, 35 ],
+      [ 40, 20, -150, 43, 36 ],
       [ 40, 20, -149, 43, 36 ],
       [ 40, 20, -148, 43, 37 ],
       [ 40, 20, -147, 43, 37 ],
@@ -372,7 +406,7 @@ public function providerPhp55RotateDimensions() {
       [ 40, 20, -63, 35, 44 ],
       [ 40, 20, -62, 35, 44 ],
       [ 40, 20, -61, 35, 44 ],
-      [ 40, 20, -60, 36, 44 ],
+      [ 40, 20, -60, 35, 44 ],
       [ 40, 20, -59, 36, 44 ],
       [ 40, 20, -58, 37, 44 ],
       [ 40, 20, -57, 37, 44 ],
@@ -793,3506 +827,3506 @@ public function providerPhp55RotateDimensions() {
       [ 40, 20, 358, 39, 21 ],
       [ 40, 20, 359, 39, 20 ],
       [ 40, 20, 360, 40, 20 ],
-      [ 40, 20, 228.78, 40, 42 ],
-      [ 40, 20, 138.55, 42, 40 ],
-      [ 40, 20, 92.29, 21, 39 ],
-      [ 40, 20, 260.46, 25, 41 ],
-      [ 40, 20, 3.31, 40, 22 ],
-      [ 40, 20, 176.79, 40, 21 ],
-      [ 40, 20, 146.38, 44, 38 ],
-      [ 40, 20, 196.24, 43, 29 ],
-      [ 40, 20, 270.74, 19, 39 ],
-      [ 40, 20, 359.74, 39, 20 ],
-      [ 40, 20, -70.43, 31, 44 ],
-      [ 40, 20, 139.73, 43, 39 ],
-      [ 40, 20, 247.85, 33, 44 ],
-      [ 40, 20, 154.52, 45, 34 ],
-      [ 40, 20, 175.84, 40, 21 ],
-      [ 40, 20, -280.04, 26, 42 ],
-      [ 40, 20, -242.44, 36, 43 ],
-      [ 40, 20, 70.33, 32, 44 ],
-      [ 40, 20, 298.28, 35, 44 ],
-      [ 40, 20, -30.68, 43, 37 ],
-      [ 40, 20, 167.55, 43, 27 ],
-      [ 40, 20, -184.01, 40, 21 ],
-      [ 40, 20, 242.57, 35, 43 ],
-      [ 40, 20, -137.8, 41, 40 ],
-      [ 40, 20, -117.28, 35, 43 ],
-      [ 40, 20, 5.46, 41, 23 ],
-      [ 40, 20, -334.64, 45, 35 ],
-      [ 40, 20, 86.25, 22, 40 ],
-      [ 40, 20, -132.7, 41, 42 ],
-      [ 40, 20, -332.71, 44, 36 ],
-      [ 40, 20, 72.24, 31, 44 ],
-      [ 40, 20, -263.92, 24, 40 ],
-      [ 40, 20, 165.85, 43, 27 ],
-      [ 40, 20, -195.47, 43, 28 ],
-      [ 40, 20, 356.54, 39, 22 ],
-      [ 40, 20, -190.85, 43, 26 ],
-      [ 40, 20, 341.32, 42, 31 ],
-      [ 40, 20, 142.91, 43, 39 ],
-      [ 40, 20, -354.62, 41, 23 ],
-      [ 40, 20, 252.05, 30, 43 ],
-      [ 40, 20, 142.65, 43, 39 ],
-      [ 40, 20, -65.04, 33, 44 ],
-      [ 40, 20, 31.78, 45, 38 ],
-      [ 40, 20, 30.5, 44, 37 ],
-      [ 40, 20, -270.52, 20, 39 ],
-      [ 40, 20, -152.39, 43, 35 ],
-      [ 40, 20, 110.46, 32, 43 ],
-      [ 40, 20, -152.96, 43, 35 ],
-      [ 40, 20, 277.95, 24, 42 ],
-      [ 40, 20, 48.74, 41, 43 ],
-      [ 40, 20, 176.36, 40, 21 ],
-      [ 40, 20, 85.5, 23, 41 ],
-      [ 40, 20, 224.74, 41, 41 ],
-      [ 40, 20, 58.93, 37, 44 ],
-      [ 40, 20, 307.71, 39, 43 ],
-      [ 40, 20, -252.55, 30, 43 ],
-      [ 40, 20, -295.62, 35, 45 ],
-      [ 40, 20, 333.07, 43, 36 ],
-      [ 40, 20, 193.71, 42, 27 ],
-      [ 40, 20, -68.31, 32, 44 ],
-      [ 40, 20, -359.64, 39, 20 ],
-      [ 40, 20, -94.06, 21, 39 ],
-      [ 40, 20, 27.77, 44, 36 ],
-      [ 40, 20, 166.21, 43, 27 ],
-      [ 40, 20, 70.47, 32, 44 ],
-      [ 40, 20, 24.31, 44, 34 ],
-      [ 40, 20, 335.37, 43, 34 ],
-      [ 40, 20, 51.79, 40, 43 ],
-      [ 40, 20, -192.78, 43, 27 ],
-      [ 40, 20, 340.76, 43, 32 ],
-      [ 40, 20, -56.16, 38, 44 ],
-      [ 40, 20, 309.87, 39, 43 ],
-      [ 40, 20, -84.29, 22, 41 ],
-      [ 40, 20, 335.63, 43, 34 ],
-      [ 40, 20, -19.64, 43, 32 ],
-      [ 40, 20, 5.19, 41, 23 ],
-      [ 40, 20, -176.76, 39, 21 ],
-      [ 40, 20, -269.18, 20, 39 ],
-      [ 40, 20, 212.24, 43, 37 ],
-      [ 40, 20, -258.82, 27, 42 ],
-      [ 40, 20, 139.56, 43, 39 ],
-      [ 40, 20, 28.6, 45, 37 ],
-      [ 40, 20, 186.69, 40, 23 ],
-      [ 40, 20, 4.29, 40, 22 ],
-      [ 40, 20, -272.47, 21, 40 ],
-      [ 40, 20, 134.39, 41, 41 ],
-      [ 40, 20, 111.75, 33, 43 ],
-      [ 40, 20, -208.08, 44, 35 ],
-      [ 40, 20, 107.46, 31, 43 ],
-      [ 40, 20, -54.55, 38, 44 ],
-      [ 40, 20, 83.61, 24, 41 ],
-      [ 40, 20, 107.83, 31, 43 ],
-      [ 40, 20, 211.4, 43, 36 ],
-      [ 40, 20, -248.62, 33, 43 ],
-      [ 40, 20, -85.96, 21, 40 ],
-      [ 40, 20, -78.13, 27, 43 ],
-      [ 40, 20, 135.69, 42, 40 ],
-      [ 40, 20, -110.6, 32, 43 ],
-      [ 40, 20, 333.66, 43, 35 ],
-      [ 40, 20, 302.91, 37, 44 ],
-      [ 40, 20, -129.85, 39, 42 ],
-      [ 40, 20, -82.5, 24, 42 ],
-      [ 40, 20, 252.77, 29, 43 ],
-      [ 40, 20, 145.86, 44, 38 ],
-      [ 40, 20, -106.88, 29, 43 ],
-      [ 40, 20, -126.87, 39, 42 ],
-      [ 40, 20, -208.95, 45, 36 ],
-      [ 40, 20, 76.36, 28, 43 ],
-      [ 40, 20, -36.05, 43, 39 ],
-      [ 40, 20, -356.71, 40, 22 ],
-      [ 40, 20, 177.55, 40, 20 ],
-      [ 40, 20, -256.49, 28, 42 ],
-      [ 40, 20, 31.9, 44, 38 ],
-      [ 40, 20, 4.24, 40, 22 ],
-      [ 40, 20, 107.8, 31, 43 ],
-      [ 40, 20, 119.43, 36, 43 ],
-      [ 40, 20, -221.37, 43, 40 ],
-      [ 40, 20, -140.45, 42, 39 ],
-      [ 40, 20, 271.35, 19, 39 ],
-      [ 40, 20, 246.1, 33, 43 ],
-      [ 40, 20, 165.01, 43, 28 ],
-      [ 40, 20, -5.04, 40, 23 ],
-      [ 40, 20, -6.08, 40, 24 ],
-      [ 40, 20, 16.4, 44, 30 ],
-      [ 40, 20, 106.35, 30, 43 ],
-      [ 40, 20, 267.96, 20, 39 ],
-      [ 40, 20, 298.27, 35, 44 ],
-      [ 40, 20, -117.97, 35, 43 ],
-      [ 40, 20, -202.64, 44, 32 ],
-      [ 40, 20, 271.93, 20, 40 ],
-      [ 40, 20, -175.06, 40, 22 ],
-      [ 40, 20, 27.51, 44, 36 ],
-      [ 40, 20, -170.58, 41, 25 ],
-      [ 40, 20, -282.29, 28, 43 ],
-      [ 40, 20, -186.63, 41, 23 ],
-      [ 40, 20, 82.55, 25, 42 ],
-      [ 40, 20, -49.16, 40, 43 ],
-      [ 40, 20, -35.58, 43, 39 ],
-      [ 40, 20, -201.09, 44, 32 ],
-      [ 40, 20, 274.79, 22, 41 ],
-      [ 40, 20, -32.28, 43, 38 ],
-      [ 40, 20, 336.47, 43, 33 ],
-      [ 40, 20, -341.71, 43, 31 ],
-      [ 40, 20, 359.62, 39, 20 ],
-      [ 40, 20, -19.3, 43, 32 ],
-      [ 40, 20, 126.1, 39, 43 ],
+      [ 40, 20, 110.1, 32, 43 ],
+      [ 40, 20, 344.9, 42, 29 ],
+      [ 40, 20, 142.85, 43, 39 ],
+      [ 40, 20, -106.52, 29, 43 ],
+      [ 40, 20, -295.78, 35, 45 ],
+      [ 40, 20, 287.58, 30, 44 ],
+      [ 40, 20, -3.62, 39, 22 ],
+      [ 40, 20, -33.96, 43, 39 ],
+      [ 40, 20, 136.46, 42, 40 ],
+      [ 40, 20, -293.72, 34, 44 ],
+      [ 40, 20, 10.71, 43, 27 ],
+      [ 40, 20, -80.02, 25, 42 ],
+      [ 40, 20, 258.53, 26, 42 ],
+      [ 40, 20, -110.41, 31, 43 ],
+      [ 40, 20, 340.87, 43, 32 ],
+      [ 40, 20, 347.4, 42, 28 ],
+      [ 40, 20, -277.97, 25, 42 ],
+      [ 40, 20, 126.74, 39, 43 ],
+      [ 40, 20, 70.99, 32, 44 ],
+      [ 40, 20, 57.54, 38, 44 ],
+      [ 40, 20, 251.66, 30, 42 ],
+      [ 40, 20, -91.15, 19, 39 ],
+      [ 40, 20, 164.92, 43, 28 ],
+      [ 40, 20, -27.14, 43, 36 ],
+      [ 40, 20, 230.28, 39, 42 ],
+      [ 40, 20, 271.37, 19, 39 ],
+      [ 40, 20, -207.19, 44, 35 ],
+      [ 40, 20, -58.19, 37, 44 ],
+      [ 40, 20, -339.34, 44, 33 ],
+      [ 40, 20, 352.45, 41, 25 ],
+      [ 40, 20, -245.62, 34, 43 ],
+      [ 40, 20, 130.77, 41, 42 ],
+      [ 40, 20, 337.34, 43, 33 ],
+      [ 40, 20, 257.24, 27, 42 ],
+      [ 40, 20, -335.75, 44, 34 ],
+      [ 40, 20, -318.44, 42, 41 ],
+      [ 40, 20, 184.82, 40, 22 ],
+      [ 40, 20, 20.64, 44, 33 ],
+      [ 40, 20, 7.6, 42, 25 ],
+      [ 40, 20, -38.72, 43, 41 ],
+      [ 40, 20, 86.92, 22, 40 ],
+      [ 40, 20, -341.69, 43, 31 ],
+      [ 40, 20, 241.26, 36, 44 ],
+      [ 40, 20, -14.56, 42, 29 ],
+      [ 40, 20, -92.1, 20, 39 ],
+      [ 40, 20, 222.12, 41, 40 ],
+      [ 40, 20, -27.16, 43, 36 ],
+      [ 40, 20, -10.06, 41, 26 ],
+      [ 40, 20, -11.15, 42, 27 ],
+      [ 40, 20, -316.18, 42, 41 ],
+      [ 40, 20, -312.53, 42, 43 ],
+      [ 40, 20, -119.49, 35, 43 ],
+      [ 40, 20, -47.32, 41, 43 ],
+      [ 40, 20, 212.4, 43, 37 ],
+      [ 40, 20, 213.37, 43, 38 ],
+      [ 40, 20, -177.05, 39, 21 ],
+      [ 40, 20, 123.76, 39, 43 ],
+      [ 40, 20, -353.82, 41, 24 ],
+      [ 40, 20, 124.76, 38, 42 ],
+      [ 40, 20, 144.43, 44, 38 ],
+      [ 40, 20, 358.63, 39, 20 ],
+      [ 40, 20, 239.15, 36, 43 ],
+      [ 40, 20, -84.81, 22, 41 ],
+      [ 40, 20, 335.97, 43, 34 ],
+      [ 40, 20, 136.38, 42, 40 ],
+      [ 40, 20, -60.55, 35, 44 ],
+      [ 40, 20, -342.47, 44, 31 ],
+      [ 40, 20, -38.8, 43, 41 ],
+      [ 40, 20, 320.09, 42, 40 ],
+      [ 40, 20, 25.13, 44, 34 ],
+      [ 40, 20, 282.48, 27, 43 ],
+      [ 40, 20, 47, 42, 43 ],
+      [ 40, 20, 43.45, 43, 42 ],
+      [ 40, 20, 163.73, 44, 29 ],
+      [ 40, 20, -327.56, 44, 38 ],
+      [ 40, 20, 311.35, 40, 43 ],
+      [ 40, 20, 25.85, 44, 35 ],
+      [ 40, 20, 5.28, 41, 23 ],
+      [ 40, 20, -58.72, 36, 44 ],
+      [ 40, 20, -345.3, 43, 29 ],
+      [ 40, 20, 49.11, 41, 43 ],
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