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from math import*
from turtle import*

speed(10)
hideturtle()

width(2)
up()
goto(0,-90)
down()
circle(90)

liste_angl=(0,30,45,60,90,120,135,150,180,210,225,240,270,300,315,330)
liste_str=("0 2π","π/6","π/4","π/3","π/2","2π/3","3π/4","5π/6","π -π","-5π/6","-3π/4","-2π/3","-π/2","-π/3","-π/4","-π/6")

x=0
width(1)
color("grey")
down()

while x<=15:
    
    goto(0,0)
    setheading(liste_angl[x])
    forward(90)
    x=x+1

y=0
x=0
color("black")
up()

while x<=4:
    y=-2
    goto(0,0)
    setheading(liste_angl[x])
    forward(90+y)
    write((liste_str[x]))
    x=x+1
    
while 4<x<8:
    y=17
    goto(0,0)
    setheading(liste_angl[x]+12)
    forward(90+y)
    write((liste_str[x]))
    x=x+1
    
while 8<=x<=12:
    y=23
    goto(0,0)
    setheading(liste_angl[x])
    if x==8:
      y=y+13
    forward(90+y)
    write((liste_str[x]))
    x=x+1
    
while 12<x<=15:
    y=14
    goto(0,0)
    setheading(liste_angl[x])
    forward(90+y)
    write((liste_str[x]))
    x=x+1

up()
goto(0,0)
down()
write("0")

up()
goto(25,0)
down()
write("1/2")

up()
goto(35,15)
down()
write("√2/2")

up()
goto(55,0)
down()
write("√3/2")

up()
goto(-20,30)
down()
write("1/2")

up()
goto(-20,50)
down()
write("√2/2")

up()
goto(-20,70)
down()
write("√3/2")