模組:FunctionGraph/doc

本模組為維基百科高效能無 JavaScript 之 SVG + HTML/CSS 混合數學函數繪圖引擎，用於驅動 {{函數圖形}}。

核心功能與子模組架構

• Module:FunctionGraph：主入口與數值取樣管線（支援 2D 顯函數、極座標 #polar:、參數方程、質數語法糖 質數(x) / π(x)、samplingMode 四種取樣模式、一階與二階微分佇列斷點探測及狄拉克 $\delta$ 脈衝合成）。
• Module:FunctionGraph/MathEngine：2D 步進正方形（Marching Squares）隱函數引擎、3D 空間投影、法向量雙面光照（Flat Shading）、畫家演算法（Z-sorting）、3D 隱函數等值面網格（Surface Nets）、六面體截面裁切（Sutherland-Hodgman）與 3D 複變模態曲面圖引擎。
• Module:FunctionGraph/SVGRenderer：2D、極座標、複變定義域著色圖與 3D 圖表之 SVG + HTML 混合排版與智慧節流 Tooltip 產生器。
• Module:FunctionGraph/TextRenderer：數學表達式遞迴下降語法分析器（AST Parser）、圖例 SVG 數學排版引擎與單次快取複用之 MediaWiki <math> Strip Marker 轉譯器。
• Module:FunctionGraph/RenderUtils：色彩光影運算、連分數有理逼近刻度、單調三次 Hermite 樣條插值與螢幕像素弧長等距取樣工具庫。
• Module:FunctionGraph/style.css：外部 TemplateStyles 樣式表，負責文字疊加定位與無須 pointer-events 之父子包裹式 :hover 互動氣泡框。

函數介面

functionGraph

繪製 2D 顯函數、隱函數、極座標、參數式與 3D 函數圖形：

{{#invoke:FunctionGraph|functionGraph|sin(x)|start=-5|end=5}}

xy圖例$\sin \left(x\right)$ (-4.92): 0.98$\sin \left(x\right)$ (-4.76): 1$\sin \left(x\right)$ (-4.59): 0.99$\sin \left(x\right)$ (-4.43): 0.96$\sin \left(x\right)$ (-4.3): 0.91$\sin \left(x\right)$ (-4.17): 0.86$\sin \left(x\right)$ (-4.06): 0.8$\sin \left(x\right)$ (-3.96): 0.73$\sin \left(x\right)$ (-3.87): 0.67$\sin \left(x\right)$ (-3.78): 0.6$\sin \left(x\right)$ (-3.7): 0.53$\sin \left(x\right)$ (-3.61): 0.46$\sin \left(x\right)$ (-3.54): 0.39$\sin \left(x\right)$ (-3.46): 0.31$\sin \left(x\right)$ (-3.39): 0.24$\sin \left(x\right)$ (-3.31): 0.17$\sin \left(x\right)$ (-3.24): 0.1$\sin \left(x\right)$ (-3.17): 0.02$\sin \left(x\right)$ (-3.09): -0.05$\sin \left(x\right)$ (-3.02): -0.12$\sin \left(x\right)$ (-2.95): -0.19$\sin \left(x\right)$ (-2.87): -0.26$\sin \left(x\right)$ (-2.8): -0.34$\sin \left(x\right)$ (-2.72): -0.41$\sin \left(x\right)$ (-2.64): -0.48$\sin \left(x\right)$ (-2.56): -0.55$\sin \left(x\right)$ (-2.47): -0.62$\sin \left(x\right)$ (-2.39): -0.68$\sin \left(x\right)$ (-2.29): -0.75$\sin \left(x\right)$ (-2.19): -0.81$\sin \left(x\right)$ (-2.07): -0.88$\sin \left(x\right)$ (-1.95): -0.93$\sin \left(x\right)$ (-1.81): -0.97$\sin \left(x\right)$ (-1.64): -1$\sin \left(x\right)$ (-1.47): -1$\sin \left(x\right)$ (-1.32): -0.97$\sin \left(x\right)$ (-1.17): -0.92$\sin \left(x\right)$ (-1.05): -0.87$\sin \left(x\right)$ (-0.94): -0.81$\sin \left(x\right)$ (-0.84): -0.74$\sin \left(x\right)$ (-0.74): -0.68$\sin \left(x\right)$ (-0.65): -0.61$\sin \left(x\right)$ (-0.57): -0.54$\sin \left(x\right)$ (-0.49): -0.47$\sin \left(x\right)$ (-0.41): -0.4$\sin \left(x\right)$ (-0.33): -0.33$\sin \left(x\right)$ (-0.26): -0.25$\sin \left(x\right)$ (-0.18): -0.18$\sin \left(x\right)$ (-0.11): -0.11$\sin \left(x\right)$ (-0.04): -0.04$\sin \left(x\right)$ (0.04): 0.04$\sin \left(x\right)$ (0.11): 0.11$\sin \left(x\right)$ (0.18): 0.18$\sin \left(x\right)$ (0.26): 0.25$\sin \left(x\right)$ (0.33): 0.33$\sin \left(x\right)$ (0.41): 0.4$\sin \left(x\right)$ (0.49): 0.47$\sin \left(x\right)$ (0.57): 0.54$\sin \left(x\right)$ (0.65): 0.61$\sin \left(x\right)$ (0.74): 0.68$\sin \left(x\right)$ (0.84): 0.74$\sin \left(x\right)$ (0.94): 0.81$\sin \left(x\right)$ (1.05): 0.87$\sin \left(x\right)$ (1.17): 0.92$\sin \left(x\right)$ (1.32): 0.97$\sin \left(x\right)$ (1.47): 1$\sin \left(x\right)$ (1.64): 1$\sin \left(x\right)$ (1.81): 0.97$\sin \left(x\right)$ (1.95): 0.93$\sin \left(x\right)$ (2.07): 0.88$\sin \left(x\right)$ (2.19): 0.81$\sin \left(x\right)$ (2.29): 0.75$\sin \left(x\right)$ (2.39): 0.68$\sin \left(x\right)$ (2.47): 0.62$\sin \left(x\right)$ (2.56): 0.55$\sin \left(x\right)$ (2.64): 0.48$\sin \left(x\right)$ (2.72): 0.41$\sin \left(x\right)$ (2.8): 0.34$\sin \left(x\right)$ (2.87): 0.26$\sin \left(x\right)$ (2.95): 0.19$\sin \left(x\right)$ (3.02): 0.12$\sin \left(x\right)$ (3.09): 0.05$\sin \left(x\right)$ (3.17): -0.02$\sin \left(x\right)$ (3.24): -0.1$\sin \left(x\right)$ (3.31): -0.17$\sin \left(x\right)$ (3.39): -0.24$\sin \left(x\right)$ (3.46): -0.31$\sin \left(x\right)$ (3.54): -0.39$\sin \left(x\right)$ (3.61): -0.46$\sin \left(x\right)$ (3.7): -0.53$\sin \left(x\right)$ (3.78): -0.6$\sin \left(x\right)$ (3.87): -0.67$\sin \left(x\right)$ (3.96): -0.73$\sin \left(x\right)$ (4.06): -0.8$\sin \left(x\right)$ (4.17): -0.86$\sin \left(x\right)$ (4.3): -0.91$\sin \left(x\right)$ (4.43): -0.96$\sin \left(x\right)$ (4.59): -0.99$\sin \left(x\right)$ (4.76): -1$\sin \left(x\right)$ (4.92): -0.98

{{#invoke:FunctionGraph|functionGraph|floor(x)|start=-3|end=3|equal_scale=yes}}

xy圖例$\lfloor x\rfloor$ (-2.97): -3$\lfloor x\rfloor$ (-2.91): -3$\lfloor x\rfloor$ (-2.85): -3$\lfloor x\rfloor$ (-2.79): -3$\lfloor x\rfloor$ (-2.73): -3$\lfloor x\rfloor$ (-2.67): -3$\lfloor x\rfloor$ (-2.61): -3$\lfloor x\rfloor$ (-2.55): -3$\lfloor x\rfloor$ (-2.49): -3$\lfloor x\rfloor$ (-2.43): -3$\lfloor x\rfloor$ (-2.37): -3$\lfloor x\rfloor$ (-2.31): -3$\lfloor x\rfloor$ (-2.25): -3$\lfloor x\rfloor$ (-2.19): -3$\lfloor x\rfloor$ (-2.13): -3$\lfloor x\rfloor$ (-2.07): -3$\lfloor x\rfloor$ (-2.01): -3$\lfloor x\rfloor$ (-1.95): -2$\lfloor x\rfloor$ (-1.89): -2$\lfloor x\rfloor$ (-1.83): -2$\lfloor x\rfloor$ (-1.77): -2$\lfloor x\rfloor$ (-1.71): -2$\lfloor x\rfloor$ (-1.65): -2$\lfloor x\rfloor$ (-1.59): -2$\lfloor x\rfloor$ (-1.53): -2$\lfloor x\rfloor$ (-1.47): -2$\lfloor x\rfloor$ (-1.41): -2$\lfloor x\rfloor$ (-1.35): -2$\lfloor x\rfloor$ (-1.29): -2$\lfloor x\rfloor$ (-1.23): -2$\lfloor x\rfloor$ (-1.17): -2$\lfloor x\rfloor$ (-1.11): -2$\lfloor x\rfloor$ (-1.05): -2$\lfloor x\rfloor$ (-0.99): -1$\lfloor x\rfloor$ (-0.93): -1$\lfloor x\rfloor$ (-0.87): -1$\lfloor x\rfloor$ (-0.81): -1$\lfloor x\rfloor$ (-0.75): -1$\lfloor x\rfloor$ (-0.69): -1$\lfloor x\rfloor$ (-0.63): -1$\lfloor x\rfloor$ (-0.57): -1$\lfloor x\rfloor$ (-0.51): -1$\lfloor x\rfloor$ (-0.45): -1$\lfloor x\rfloor$ (-0.39): -1$\lfloor x\rfloor$ (-0.33): -1$\lfloor x\rfloor$ (-0.27): -1$\lfloor x\rfloor$ (-0.21): -1$\lfloor x\rfloor$ (-0.15): -1$\lfloor x\rfloor$ (-0.09): -1$\lfloor x\rfloor$ (-0.03): -1$\lfloor x\rfloor$ (0.03): 0$\lfloor x\rfloor$ (0.09): 0$\lfloor x\rfloor$ (0.15): 0$\lfloor x\rfloor$ (0.21): 0$\lfloor x\rfloor$ (0.27): 0$\lfloor x\rfloor$ (0.33): 0$\lfloor x\rfloor$ (0.39): 0$\lfloor x\rfloor$ (0.45): 0$\lfloor x\rfloor$ (0.51): 0$\lfloor x\rfloor$ (0.57): 0$\lfloor x\rfloor$ (0.63): 0$\lfloor x\rfloor$ (0.69): 0$\lfloor x\rfloor$ (0.75): 0$\lfloor x\rfloor$ (0.81): 0$\lfloor x\rfloor$ (0.87): 0$\lfloor x\rfloor$ (0.93): 0$\lfloor x\rfloor$ (0.99): 0$\lfloor x\rfloor$ (1.05): 1$\lfloor x\rfloor$ (1.11): 1$\lfloor x\rfloor$ (1.17): 1$\lfloor x\rfloor$ (1.23): 1$\lfloor x\rfloor$ (1.29): 1$\lfloor x\rfloor$ (1.35): 1$\lfloor x\rfloor$ (1.41): 1$\lfloor x\rfloor$ (1.47): 1$\lfloor x\rfloor$ (1.53): 1$\lfloor x\rfloor$ (1.59): 1$\lfloor x\rfloor$ (1.65): 1$\lfloor x\rfloor$ (1.71): 1$\lfloor x\rfloor$ (1.77): 1$\lfloor x\rfloor$ (1.83): 1$\lfloor x\rfloor$ (1.89): 1$\lfloor x\rfloor$ (1.95): 1$\lfloor x\rfloor$ (2.01): 2$\lfloor x\rfloor$ (2.07): 2$\lfloor x\rfloor$ (2.13): 2$\lfloor x\rfloor$ (2.19): 2$\lfloor x\rfloor$ (2.25): 2$\lfloor x\rfloor$ (2.31): 2$\lfloor x\rfloor$ (2.37): 2$\lfloor x\rfloor$ (2.43): 2$\lfloor x\rfloor$ (2.49): 2$\lfloor x\rfloor$ (2.55): 2$\lfloor x\rfloor$ (2.61): 2$\lfloor x\rfloor$ (2.67): 2$\lfloor x\rfloor$ (2.73): 2$\lfloor x\rfloor$ (2.79): 2$\lfloor x\rfloor$ (2.85): 2$\lfloor x\rfloor$ (2.91): 2$\lfloor x\rfloor$ (2.97): 2

{{#invoke:FunctionGraph|functionGraph|sin(1/x)|start=-0.5|end=0.5|samplingMode=diff}}

xy圖例$\sin (1/x)$ (-0.44): -0.75$\sin (1/x)$ (-0.34): -0.23$\sin (1/x)$ (-0.28): 0.39$\sin (1/x)$ (-0.22): 0.99$\sin (1/x)$ (-0.17): 0.38$\sin (1/x)$ (-0.15): -0.3$\sin (1/x)$ (-0.13): -0.97$\sin (1/x)$ (-0.11): -0.37$\sin (1/x)$ (-0.1): 0.31$\sin (1/x)$ (-0.09): 0.99$\sin (1/x)$ (-0.08): 0.33$\sin (1/x)$ (-0.08): -0.35$\sin (1/x)$ (-0.07): -0.97$\sin (1/x)$ (-0.06): -0.29$\sin (1/x)$ (-0.06): 0.4$\sin (1/x)$ (-0.06): 0.93$\sin (1/x)$ (-0.05): 0.23$\sin (1/x)$ (-0.05): -0.46$\sin (1/x)$ (-0.05): -0.89$\sin (1/x)$ (-0.05): -0.19$\sin (1/x)$ (-0.04): 0.52$\sin (1/x)$ (-0.04): 0.86$\sin (1/x)$ (-0.04): 0.14$\sin (1/x)$ (-0.04): -0.55$\sin (1/x)$ (-0.04): -0.87$\sin (1/x)$ (-0.04): -0.13$\sin (1/x)$ (-0.03): 0.67$\sin (1/x)$ (-0.03): 0.8$\sin (1/x)$ (-0.03): 0.03$\sin (1/x)$ (-0.03): -0.82$\sin (1/x)$ (-0.03): -0.67$\sin (1/x)$ (-0.03): 0.13$\sin (1/x)$ (-0.03): 1$\sin (1/x)$ (-0.03): 0.62$\sin (1/x)$ (-0.03): -0.2$\sin (1/x)$ (-0.02): -0.59$\sin (1/x)$ (-0.02): 0.19$\sin (1/x)$ (-0.02): 0.87$\sin (1/x)$ (-0.02): 0.86$\sin (1/x)$ (-0.02): -0.11$\sin (1/x)$ (-0.02): 0.71$\sin (1/x)$ (-0.02): 0.28$\sin (1/x)$ (-0.02): -0.34$\sin (1/x)$ (-0.02): -0.92$\sin (1/x)$ (-0.01): -0.7$\sin (1/x)$ (-0.01): 0.97$\sin (1/x)$ (-0.01): -0.52$\sin (1/x)$ (-0.01): 0.41$\sin (1/x)$ (-0.01): -0.6$\sin (1/x)$ (-0.01): -0.84$\sin (1/x)$ (0.01): 0.84$\sin (1/x)$ (0.01): 0.6$\sin (1/x)$ (0.01): -0.41$\sin (1/x)$ (0.01): 0.52$\sin (1/x)$ (0.01): -0.97$\sin (1/x)$ (0.01): 0.7$\sin (1/x)$ (0.02): 0.92$\sin (1/x)$ (0.02): 0.34$\sin (1/x)$ (0.02): -0.28$\sin (1/x)$ (0.02): -0.71$\sin (1/x)$ (0.02): 0.11$\sin (1/x)$ (0.02): -0.86$\sin (1/x)$ (0.02): -0.87$\sin (1/x)$ (0.02): -0.19$\sin (1/x)$ (0.02): 0.59$\sin (1/x)$ (0.03): 0.2$\sin (1/x)$ (0.03): -0.62$\sin (1/x)$ (0.03): -1$\sin (1/x)$ (0.03): -0.13$\sin (1/x)$ (0.03): 0.67$\sin (1/x)$ (0.03): 0.82$\sin (1/x)$ (0.03): -0.03$\sin (1/x)$ (0.03): -0.8$\sin (1/x)$ (0.03): -0.67$\sin (1/x)$ (0.04): 0.13$\sin (1/x)$ (0.04): 0.87$\sin (1/x)$ (0.04): 0.55$\sin (1/x)$ (0.04): -0.14$\sin (1/x)$ (0.04): -0.86$\sin (1/x)$ (0.04): -0.52$\sin (1/x)$ (0.05): 0.19$\sin (1/x)$ (0.05): 0.89$\sin (1/x)$ (0.05): 0.46$\sin (1/x)$ (0.05): -0.23$\sin (1/x)$ (0.06): -0.93$\sin (1/x)$ (0.06): -0.4$\sin (1/x)$ (0.06): 0.29$\sin (1/x)$ (0.07): 0.97$\sin (1/x)$ (0.08): 0.35$\sin (1/x)$ (0.08): -0.33$\sin (1/x)$ (0.09): -0.99$\sin (1/x)$ (0.1): -0.31$\sin (1/x)$ (0.11): 0.37$\sin (1/x)$ (0.13): 0.97$\sin (1/x)$ (0.15): 0.3$\sin (1/x)$ (0.17): -0.38$\sin (1/x)$ (0.22): -0.99$\sin (1/x)$ (0.28): -0.39$\sin (1/x)$ (0.34): 0.23$\sin (1/x)$ (0.44): 0.75

complex_graph

繪製複變函數 2D 定義域著色圖（預設）或 3D 複變模態曲面圖（加上 3d=yes）：

{{#invoke:FunctionGraph|complex_graph|x}}

實軸 (Re)虛軸 (Im)$x$ (-4.5+4.5i): -4.50+4.50i$x$ (-3.5+4.5i): -3.50+4.50i$x$ (-2.5+4.5i): -2.50+4.50i$x$ (-1.5+4.5i): -1.50+4.50i$x$ (-0.5+4.5i): -0.50+4.50i$x$ (0.5+4.5i): 0.50+4.50i$x$ (1.5+4.5i): 1.50+4.50i$x$ (2.5+4.5i): 2.50+4.50i$x$ (3.5+4.5i): 3.50+4.50i$x$ (4.5+4.5i): 4.50+4.50i$x$ (-4.5+3.5i): -4.50+3.50i$x$ (-3.5+3.5i): -3.50+3.50i$x$ (-2.5+3.5i): -2.50+3.50i$x$ (-1.5+3.5i): -1.50+3.50i$x$ (-0.5+3.5i): -0.50+3.50i$x$ (0.5+3.5i): 0.50+3.50i$x$ (1.5+3.5i): 1.50+3.50i$x$ (2.5+3.5i): 2.50+3.50i$x$ (3.5+3.5i): 3.50+3.50i$x$ (4.5+3.5i): 4.50+3.50i$x$ (-4.5+2.5i): -4.50+2.50i$x$ (-3.5+2.5i): -3.50+2.50i$x$ (-2.5+2.5i): -2.50+2.50i$x$ (-1.5+2.5i): -1.50+2.50i$x$ (-0.5+2.5i): -0.50+2.50i$x$ (0.5+2.5i): 0.50+2.50i$x$ (1.5+2.5i): 1.50+2.50i$x$ (2.5+2.5i): 2.50+2.50i$x$ (3.5+2.5i): 3.50+2.50i$x$ (4.5+2.5i): 4.50+2.50i$x$ (-4.5+1.5i): -4.50+1.50i$x$ (-3.5+1.5i): -3.50+1.50i$x$ (-2.5+1.5i): -2.50+1.50i$x$ (-1.5+1.5i): -1.50+1.50i$x$ (-0.5+1.5i): -0.50+1.50i$x$ (0.5+1.5i): 0.50+1.50i$x$ (1.5+1.5i): 1.50+1.50i$x$ (2.5+1.5i): 2.50+1.50i$x$ (3.5+1.5i): 3.50+1.50i$x$ (4.5+1.5i): 4.50+1.50i$x$ (-4.5+0.5i): -4.50+0.50i$x$ (-3.5+0.5i): -3.50+0.50i$x$ (-2.5+0.5i): -2.50+0.50i$x$ (-1.5+0.5i): -1.50+0.50i$x$ (-0.5+0.5i): -0.50+0.50i$x$ (0.5+0.5i): 0.50+0.50i$x$ (1.5+0.5i): 1.50+0.50i$x$ (2.5+0.5i): 2.50+0.50i$x$ (3.5+0.5i): 3.50+0.50i$x$ (4.5+0.5i): 4.50+0.50i$x$ (-4.5-0.5i): -4.50-0.50i$x$ (-3.5-0.5i): -3.50-0.50i$x$ (-2.5-0.5i): -2.50-0.50i$x$ (-1.5-0.5i): -1.50-0.50i$x$ (-0.5-0.5i): -0.50-0.50i$x$ (0.5-0.5i): 0.50-0.50i$x$ (1.5-0.5i): 1.50-0.50i$x$ (2.5-0.5i): 2.50-0.50i$x$ (3.5-0.5i): 3.50-0.50i$x$ (4.5-0.5i): 4.50-0.50i$x$ (-4.5-1.5i): -4.50-1.50i$x$ (-3.5-1.5i): -3.50-1.50i$x$ (-2.5-1.5i): -2.50-1.50i$x$ (-1.5-1.5i): -1.50-1.50i$x$ (-0.5-1.5i): -0.50-1.50i$x$ (0.5-1.5i): 0.50-1.50i$x$ (1.5-1.5i): 1.50-1.50i$x$ (2.5-1.5i): 2.50-1.50i$x$ (3.5-1.5i): 3.50-1.50i$x$ (4.5-1.5i): 4.50-1.50i$x$ (-4.5-2.5i): -4.50-2.50i$x$ (-3.5-2.5i): -3.50-2.50i$x$ (-2.5-2.5i): -2.50-2.50i$x$ (-1.5-2.5i): -1.50-2.50i$x$ (-0.5-2.5i): -0.50-2.50i$x$ (0.5-2.5i): 0.50-2.50i$x$ (1.5-2.5i): 1.50-2.50i$x$ (2.5-2.5i): 2.50-2.50i$x$ (3.5-2.5i): 3.50-2.50i$x$ (4.5-2.5i): 4.50-2.50i$x$ (-4.5-3.5i): -4.50-3.50i$x$ (-3.5-3.5i): -3.50-3.50i$x$ (-2.5-3.5i): -2.50-3.50i$x$ (-1.5-3.5i): -1.50-3.50i$x$ (-0.5-3.5i): -0.50-3.50i$x$ (0.5-3.5i): 0.50-3.50i$x$ (1.5-3.5i): 1.50-3.50i$x$ (2.5-3.5i): 2.50-3.50i$x$ (3.5-3.5i): 3.50-3.50i$x$ (4.5-3.5i): 4.50-3.50i$x$ (-4.5-4.5i): -4.50-4.50i$x$ (-3.5-4.5i): -3.50-4.50i$x$ (-2.5-4.5i): -2.50-4.50i$x$ (-1.5-4.5i): -1.50-4.50i$x$ (-0.5-4.5i): -0.50-4.50i$x$ (0.5-4.5i): 0.50-4.50i$x$ (1.5-4.5i): 1.50-4.50i$x$ (2.5-4.5i): 2.50-4.50i$x$ (3.5-4.5i): 3.50-4.50i$x$ (4.5-4.5i): 4.50-4.50i

另外請注意：因要向2個維度取樣（如取樣數設定為100則要運算100×100=10000次，更高的取樣數可能會超出WP:模板限制）因此較耗費效能，請斟酌使用。

{{#invoke:FunctionGraph|complex_graph|z^3 = 1|3d=yes|start=-1.6|end=1.6|zAxisMax=3}}

實軸 (Re)虛軸 (Im)|f(z)|圖例$z^3=1$ (-1.1+1.02i): 1.10+2.65i (|f|=2.86)$z^3=1$ (-0.9+1.26i): 2.58+1.05i (|f|=2.78)$z^3=1$ (-0.64+1.41i): 2.57-1.06i (|f|=2.78)$z^3=1$ (-0.33+1.46i): 1.09-2.65i (|f|=2.87)$z^3=1$ (-1.24+0.08i): -2.90+0.37i (|f|=2.92)$z^3=1$ (-1.18+0.57i): -1.51+2.20i (|f|=2.66)$z^3=1$ (-1.06+0.96i): 0.71+2.37i (|f|=2.48)$z^3=1$ (-0.87+1.21i): 2.20+0.98i (|f|=2.4)$z^3=1$ (-0.62+1.36i): 2.20-0.99i (|f|=2.41)$z^3=1$ (-0.29+1.4i): 0.70-2.38i (|f|=2.48)$z^3=1$ (0.1+1.3i): -1.52-2.18i (|f|=2.66)$z^3=1$ (0.55+1.12i): -2.90-0.36i (|f|=2.92)$z^3=1$ (-1.22-0.56i): -1.66-2.31i (|f|=2.84)$z^3=1$ (-1.17-0.05i): -2.57-0.22i (|f|=2.58)$z^3=1$ (-1.11+0.45i): -1.71+1.58i (|f|=2.33)$z^3=1$ (-1.02+0.88i): 0.32+2.08i (|f|=2.1)$z^3=1$ (-0.84+1.16i): 1.79+0.89i (|f|=2)$z^3=1$ (-0.58+1.31i): 1.78-0.90i (|f|=2)$z^3=1$ (-0.25+1.33i): 0.32-2.09i (|f|=2.11)$z^3=1$ (0.17+1.18i): -1.72-1.55i (|f|=2.32)$z^3=1$ (0.63+0.98i): -2.58+0.22i (|f|=2.59)$z^3=1$ (1.09+0.77i): -1.66+2.31i (|f|=2.85)$z^3=1$ (-1.14-0.69i): -0.84-2.36i (|f|=2.51)$z^3=1$ (-1.08-0.19i): -2.15-0.68i (|f|=2.26)$z^3=1$ (-1.02+0.29i): -1.81+0.88i (|f|=2.01)$z^3=1$ (-0.97+0.79i): -0.08+1.74i (|f|=1.74)$z^3=1$ (-0.81+1.1i): 1.40+0.81i (|f|=1.62)$z^3=1$ (-0.55+1.25i): 1.39-0.82i (|f|=1.61)$z^3=1$ (-0.2+1.24i): -0.09-1.75i (|f|=1.75)$z^3=1$ (0.26+1.03i): -1.81-0.86i (|f|=2.01)$z^3=1$ (0.71+0.84i): -2.15+0.69i (|f|=2.25)$z^3=1$ (1.17+0.64i): -0.81+2.37i (|f|=2.51)$z^3=1$ (-0.79-1.3i): 2.49-0.25i (|f|=2.51)$z^3=1$ (-0.36-1.45i): 1.22+2.46i (|f|=2.74)$z^3=1$ (-0.05-1.4i): -0.72+2.71i (|f|=2.81)$z^3=1$ (0.23-1.28i): -2.11+1.91i (|f|=2.84)$z^3=1$ (0.49-1.14i): -2.77+0.66i (|f|=2.85)$z^3=1$ (0.74-0.99i): -2.78-0.67i (|f|=2.86)$z^3=1$ (1-0.84i): -2.11-1.92i (|f|=2.86)$z^3=1$ (1.24-0.66i): -0.72-2.73i (|f|=2.83)$z^3=1$ (1.43-0.41i): 1.23-2.44i (|f|=2.73)$z^3=1$ (1.52+0.04i): 2.49+0.27i (|f|=2.51)$z^3=1$ (-0.41-1.37i): 1.22+1.89i (|f|=2.25)$z^3=1$ (-0.09-1.32i): -0.52+2.27i (|f|=2.32)$z^3=1$ (0.18-1.19i): -1.74+1.58i (|f|=2.35)$z^3=1$ (0.43-1.03i): -2.29+0.54i (|f|=2.35)$z^3=1$ (0.68-0.88i): -2.29-0.54i (|f|=2.35)$z^3=1$ (0.95-0.75i): -1.74-1.59i (|f|=2.35)$z^3=1$ (1.19-0.58i): -0.51-2.27i (|f|=2.33)$z^3=1$ (1.39-0.33i): 1.23-1.88i (|f|=2.24)$z^3=1$ (-0.46-1.28i): 1.16+1.31i (|f|=1.74)$z^3=1$ (-0.14-1.24i): -0.36+1.81i (|f|=1.85)$z^3=1$ (0.11-1.08i): -1.38+1.21i (|f|=1.84)$z^3=1$ (0.34-0.89i): -1.77+0.39i (|f|=1.82)$z^3=1$ (0.6-0.74i): -1.77-0.39i (|f|=1.82)$z^3=1$ (0.88-0.63i): -1.38-1.22i (|f|=1.84)$z^3=1$ (1.14-0.49i): -0.35-1.80i (|f|=1.84)$z^3=1$ (1.34-0.25i): 1.17-1.33i (|f|=1.77)$z^3=1$ (-0.51-1.18i): 1.02+0.72i (|f|=1.25)$z^3=1$ (-0.2-1.13i): -0.23+1.31i (|f|=1.33)$z^3=1$ (0.01-0.91i): -1.04+0.76i (|f|=1.28)$z^3=1$ (0.14-0.54i): -1.12+0.12i (|f|=1.13)$z^3=1$ (0.4-0.4i): -1.13-0.13i (|f|=1.13)$z^3=1$ (0.79-0.47i): -1.04-0.77i (|f|=1.3)$z^3=1$ (1.08-0.39i): -0.23-1.32i (|f|=1.34)$z^3=1$ (1.28-0.14i): 1.02-0.70i (|f|=1.24)$z^3=1$ (-0.6-1.03i): 0.70-0.02i (|f|=0.7)$z^3=1$ (-0.28-1i): -0.19+0.78i (|f|=0.8)$z^3=1$ (1.01-0.26i): -0.18-0.78i (|f|=0.81)$z^3=1$ (1.2-0i): 0.72-0.01i (|f|=0.72)