=== SAVED CAST: ultimatemend_9_s51 ===
Normalized points: 60
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.4751, 0.6583)
  [ 1]  (0.4313, 0.6658)
  [ 2]  (0.3870, 0.6708)
  [ 3]  (0.3428, 0.6759)
  [ 4]  (0.2988, 0.6829)
  [ 5]  (0.2547, 0.6899)
  [ 6]  (0.2107, 0.6969)
  [ 7]  (0.1667, 0.7039)
  [ 8]  (0.1228, 0.7113)
  [ 9]  (0.0788, 0.7187)
  [10]  (0.0349, 0.7261)
  [11]  (0.0000, 0.7171)
  [12]  (0.4751, 0.5903)
  [13]  (0.4862, 0.6011)
  [14]  (0.4917, 0.6127)
  [15]  (0.4844, 0.6264)
  [16]  (0.4719, 0.6319)
  [17]  (0.4663, 0.6182)
  [18]  (0.4720, 0.6074)
  [19]  (0.4852, 0.5994)
  [20]  (0.5007, 0.5997)
  [21]  (0.5162, 0.6001)
  [22]  (0.5137, 0.6053)
  [23]  (0.5006, 0.6135)
  [24]  (0.4751, 0.5982)
  [25]  (0.4803, 0.6050)
  [26]  (0.4854, 0.6118)
  [27]  (0.4905, 0.6187)
  [28]  (0.4882, 0.6252)
  [29]  (0.4824, 0.6315)
  [30]  (0.4767, 0.6378)
  [31]  (0.4690, 0.6362)
  [32]  (0.4610, 0.6331)
  [33]  (0.4580, 0.6282)
  [34]  (0.4617, 0.6205)
  [35]  (0.4655, 0.6128)
  [36]  (0.4751, 0.6730)
  [37]  (0.4755, 0.6531)
  [38]  (0.4740, 0.6334)
  [39]  (0.4672, 0.6146)
  [40]  (0.4604, 0.5958)
  [41]  (0.4463, 0.5826)
  [42]  (0.4300, 0.5710)
  [43]  (0.4260, 0.5888)
  [44]  (0.4232, 0.6086)
  [45]  (0.4205, 0.6284)
  [46]  (0.4177, 0.6481)
  [47]  (0.4117, 0.6672)
  [48]  (0.4751, 0.7054)
  [49]  (0.3228, 0.6082)
  [50]  (0.3594, 0.4283)
  [51]  (0.5031, 0.3045)
  [52]  (0.6791, 0.2264)
  [53]  (0.8583, 0.2831)
  [54]  (0.9820, 0.4276)
  [55]  (1.0000, 0.6195)
  [56]  (0.8681, 0.7551)
  [57]  (0.6779, 0.7736)
  [58]  (0.4866, 0.7494)
  [59]  (0.3204, 0.6621)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.0000, 0.7171)  angle=150.6 deg
  V1  (0.4751, 0.5903)  angle=59.2 deg
  V2  (0.4917, 0.6127)  angle=53.1 deg
  V3  (0.4844, 0.6264)  angle=38.4 deg
  V4  (0.4719, 0.6319)  angle=91.2 deg
  V5  (0.4663, 0.6182)  angle=50.2 deg
  V6  (0.4720, 0.6074)  angle=31.0 deg
  V7  (0.4852, 0.5994)  angle=32.4 deg
  V8  (0.5162, 0.6001)  angle=113.7 deg
  V9  (0.5137, 0.6053)  angle=33.2 deg
  V10  (0.5006, 0.6135)  angle=63.0 deg
  V11  (0.4751, 0.5982)  angle=157.9 deg
  V12  (0.4905, 0.6187)  angle=56.4 deg
  V13  (0.4767, 0.6378)  angle=59.2 deg
  V14  (0.4610, 0.6331)  angle=37.2 deg
  V15  (0.4580, 0.6282)  angle=57.9 deg
  V16  (0.4655, 0.6128)  angle=144.8 deg
  V17  (0.4751, 0.6730)  angle=169.9 deg
  V18  (0.4300, 0.5710)  angle=112.8 deg
  V19  (0.4117, 0.6672)  angle=76.6 deg
  V20  (0.4751, 0.7054)  angle=178.5 deg
  V21  (0.3228, 0.6082)  angle=68.9 deg
  V22  (0.3594, 0.4283)  angle=37.8 deg
  V23  (0.6791, 0.2264)  angle=41.5 deg
  V24  (0.8583, 0.2831)  angle=31.9 deg
  V25  (0.9820, 0.4276)  angle=35.2 deg
  V26  (1.0000, 0.6195)  angle=49.6 deg
  V27  (0.8681, 0.7551)  angle=40.2 deg

--- SUGGESTED DOT TEMPLATE FORMAT ---
// Paste into SpellGestureTracker.java getDotTemplates():
new DotTemplate(DetectedPattern.SPELL_NAME, "description",
    new double[][] {
        // pick key dots from vertices above
    },
    new int[][] {
        // define connections between dots
    }
),
