=== SAVED CAST: hawking_10_s41 ===
Normalized points: 64
Raw points: N/A

--- NORMALIZED STROKE POINTS (x, y in [0,1], top-left origin) ---
  [ 0]  (0.8242, 0.7961)
  [ 1]  (0.7442, 0.7401)
  [ 2]  (0.6729, 0.6720)
  [ 3]  (0.6077, 0.5984)
  [ 4]  (0.5503, 0.5182)
  [ 5]  (0.4991, 0.4339)
  [ 6]  (0.4516, 0.3474)
  [ 7]  (0.3992, 0.2641)
  [ 8]  (0.3408, 0.1846)
  [ 9]  (0.4098, 0.1568)
  [10]  (0.5084, 0.1536)
  [11]  (0.6070, 0.1568)
  [12]  (0.7056, 0.1601)
  [13]  (0.8040, 0.1679)
  [14]  (0.9023, 0.1761)
  [15]  (1.0000, 0.1896)
  [16]  (0.8242, 0.5119)
  [17]  (0.7702, 0.5030)
  [18]  (0.7152, 0.4991)
  [19]  (0.6603, 0.4951)
  [20]  (0.6054, 0.4919)
  [21]  (0.5503, 0.4905)
  [22]  (0.4953, 0.4892)
  [23]  (0.4402, 0.4879)
  [24]  (0.3852, 0.4866)
  [25]  (0.3301, 0.4852)
  [26]  (0.2750, 0.4841)
  [27]  (0.2200, 0.4830)
  [28]  (0.1649, 0.4819)
  [29]  (0.1099, 0.4808)
  [30]  (0.0549, 0.4772)
  [31]  (0.0000, 0.4734)
  [32]  (0.8242, 0.1509)
  [33]  (0.8838, 0.1784)
  [34]  (0.9373, 0.2158)
  [35]  (0.9834, 0.2604)
  [36]  (0.9890, 0.3127)
  [37]  (0.9300, 0.3415)
  [38]  (0.8646, 0.3441)
  [39]  (0.7995, 0.3424)
  [40]  (0.7362, 0.3253)
  [41]  (0.6940, 0.2818)
  [42]  (0.6901, 0.2178)
  [43]  (0.7368, 0.1811)
  [44]  (0.7977, 0.1599)
  [45]  (0.8633, 0.1572)
  [46]  (0.9288, 0.1545)
  [47]  (0.9251, 0.1703)
  [48]  (0.8242, 0.8491)
  [49]  (0.7835, 0.7850)
  [50]  (0.7429, 0.7208)
  [51]  (0.7012, 0.6572)
  [52]  (0.6572, 0.5953)
  [53]  (0.6133, 0.5333)
  [54]  (0.5700, 0.4709)
  [55]  (0.5293, 0.4067)
  [56]  (0.4888, 0.3425)
  [57]  (0.4498, 0.2773)
  [58]  (0.4528, 0.2222)
  [59]  (0.5278, 0.2142)
  [60]  (0.6036, 0.2090)
  [61]  (0.6796, 0.2098)
  [62]  (0.7556, 0.2104)
  [63]  (0.8308, 0.2173)

--- KEY VERTICES (corners with angle < 120 degrees) ---
  V0  (0.3408, 0.1846)  angle=104.4 deg
  V1  (1.0000, 0.1896)  angle=110.7 deg
  V2  (0.8242, 0.5119)  angle=70.7 deg
  V3  (0.0000, 0.4734)  angle=154.7 deg
  V4  (0.8242, 0.1509)  angle=46.2 deg
  V5  (0.9834, 0.2604)  angle=40.0 deg
  V6  (0.9890, 0.3127)  angle=69.9 deg
  V7  (0.7362, 0.3253)  angle=30.8 deg
  V8  (0.6940, 0.2818)  angle=40.5 deg
  V9  (0.6901, 0.2178)  angle=55.4 deg
  V10  (0.9288, 0.1545)  angle=105.5 deg
  V11  (0.8242, 0.8491)  angle=139.2 deg
  V12  (0.4498, 0.2773)  angle=34.0 deg
  V13  (0.4528, 0.2222)  angle=80.8 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
    }
),
