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andrewjbennett/mandel_calc.py

Last active July 4, 2017 12:13
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mandelbrot calculator (note: doesn't actually calculate mandelbrots)
Raw
mandel_calc.py
MANDEL_MIN = -2
MANDEL_MAX = 2
MANDEL_WIDTH = 4.0 # abs(MANDEL_MIN) + abs(MANDEL_MAX)
"""
Tile coords look like: for n=4
(0,0) (1,0) (2,0) (3,0)
(0,1) (1,1) (2,1) (3,1)
(0,2) (1,2) (2,2) (3,2)
(0,3) (1,3) (2,3) (3,3)
We want to convert these into (x,y) coordinates in the mandelbrot set.
(or, rather, distributed between some given MANDEL_MIN and MANDEL_MAX.)
"""
"""
def get_xy_coords(tile_x, tile_y, n):
Given the (tile_x, tile_y) coords of a tile, return the (x, y) coordinates.
"""
def get_xy_coords(tile_x, tile_y, n):
tile_width = MANDEL_WIDTH/n
#print "tile_width:", tile_width
topleft_x = MANDEL_MIN + tile_x * tile_width
topleft_y = (MANDEL_MIN + tile_y * tile_width)*-1 # I was led astray with my assumptions that the
# top left coordinate was (-2, -2) :'(
#print "top left: %.2f, %.2f" % (topleft_x, topleft_y)
center_x = topleft_x + tile_width/2.0
center_y = topleft_y + tile_width/2.0
#print "center: %.2f, %.2f" % (center_x, center_y)
return (center_x, center_y)
"""
def get_all_xy_coords(zoom_level):
Given the zoom level, calculate and print all of the (x, y) coordinates,
for each tile.
"""
def get_all_xy_coords(zoom_level):
# tile coordinates go from 0 to n-1
n = 2**(zoom_level-9)
tiles = []
for tile_x in range(0,n): # goes 0 to n-1
tiles.append([]) # add another row (or column? idk)
for tile_y in range(0,n): # goes 0 to n-1
tiles[-1].append(get_xy_coords(tile_x, tile_y, n))
for row in tiles:
for col in row:
print "(% 3.2f, % 3.2f)" % (col),
print
#get_all_xy_coords(int(raw_input("zoom level? ")))
for possible_zoom in range(10,15):
print "zoom:", possible_zoom
get_all_xy_coords(possible_zoom)
print "\n\n\n"
Raw
output.txt
zoom: 10
(-1.00, -1.00) (-1.00, 1.00)
( 1.00, -1.00) ( 1.00, 1.00)
zoom: 11
(-1.50, -1.50) (-1.50, -0.50) (-1.50, 0.50) (-1.50, 1.50)
(-0.50, -1.50) (-0.50, -0.50) (-0.50, 0.50) (-0.50, 1.50)
( 0.50, -1.50) ( 0.50, -0.50) ( 0.50, 0.50) ( 0.50, 1.50)
( 1.50, -1.50) ( 1.50, -0.50) ( 1.50, 0.50) ( 1.50, 1.50)
zoom: 12
(-1.75, -1.75) (-1.75, -1.25) (-1.75, -0.75) (-1.75, -0.25) (-1.75, 0.25) (-1.75, 0.75) (-1.75, 1.25) (-1.75, 1.75)
(-1.25, -1.75) (-1.25, -1.25) (-1.25, -0.75) (-1.25, -0.25) (-1.25, 0.25) (-1.25, 0.75) (-1.25, 1.25) (-1.25, 1.75)
(-0.75, -1.75) (-0.75, -1.25) (-0.75, -0.75) (-0.75, -0.25) (-0.75, 0.25) (-0.75, 0.75) (-0.75, 1.25) (-0.75, 1.75)
(-0.25, -1.75) (-0.25, -1.25) (-0.25, -0.75) (-0.25, -0.25) (-0.25, 0.25) (-0.25, 0.75) (-0.25, 1.25) (-0.25, 1.75)
( 0.25, -1.75) ( 0.25, -1.25) ( 0.25, -0.75) ( 0.25, -0.25) ( 0.25, 0.25) ( 0.25, 0.75) ( 0.25, 1.25) ( 0.25, 1.75)
( 0.75, -1.75) ( 0.75, -1.25) ( 0.75, -0.75) ( 0.75, -0.25) ( 0.75, 0.25) ( 0.75, 0.75) ( 0.75, 1.25) ( 0.75, 1.75)
( 1.25, -1.75) ( 1.25, -1.25) ( 1.25, -0.75) ( 1.25, -0.25) ( 1.25, 0.25) ( 1.25, 0.75) ( 1.25, 1.25) ( 1.25, 1.75)
( 1.75, -1.75) ( 1.75, -1.25) ( 1.75, -0.75) ( 1.75, -0.25) ( 1.75, 0.25) ( 1.75, 0.75) ( 1.75, 1.25) ( 1.75, 1.75)
zoom: 13
(-1.88, -1.88) (-1.88, -1.62) (-1.88, -1.38) (-1.88, -1.12) (-1.88, -0.88) (-1.88, -0.62) (-1.88, -0.38) (-1.88, -0.12) (-1.88, 0.12) (-1.88, 0.38) (-1.88, 0.62) (-1.88, 0.88) (-1.88, 1.12) (-1.88, 1.38) (-1.88, 1.62) (-1.88, 1.88)
(-1.62, -1.88) (-1.62, -1.62) (-1.62, -1.38) (-1.62, -1.12) (-1.62, -0.88) (-1.62, -0.62) (-1.62, -0.38) (-1.62, -0.12) (-1.62, 0.12) (-1.62, 0.38) (-1.62, 0.62) (-1.62, 0.88) (-1.62, 1.12) (-1.62, 1.38) (-1.62, 1.62) (-1.62, 1.88)
(-1.38, -1.88) (-1.38, -1.62) (-1.38, -1.38) (-1.38, -1.12) (-1.38, -0.88) (-1.38, -0.62) (-1.38, -0.38) (-1.38, -0.12) (-1.38, 0.12) (-1.38, 0.38) (-1.38, 0.62) (-1.38, 0.88) (-1.38, 1.12) (-1.38, 1.38) (-1.38, 1.62) (-1.38, 1.88)
(-1.12, -1.88) (-1.12, -1.62) (-1.12, -1.38) (-1.12, -1.12) (-1.12, -0.88) (-1.12, -0.62) (-1.12, -0.38) (-1.12, -0.12) (-1.12, 0.12) (-1.12, 0.38) (-1.12, 0.62) (-1.12, 0.88) (-1.12, 1.12) (-1.12, 1.38) (-1.12, 1.62) (-1.12, 1.88)
(-0.88, -1.88) (-0.88, -1.62) (-0.88, -1.38) (-0.88, -1.12) (-0.88, -0.88) (-0.88, -0.62) (-0.88, -0.38) (-0.88, -0.12) (-0.88, 0.12) (-0.88, 0.38) (-0.88, 0.62) (-0.88, 0.88) (-0.88, 1.12) (-0.88, 1.38) (-0.88, 1.62) (-0.88, 1.88)
(-0.62, -1.88) (-0.62, -1.62) (-0.62, -1.38) (-0.62, -1.12) (-0.62, -0.88) (-0.62, -0.62) (-0.62, -0.38) (-0.62, -0.12) (-0.62, 0.12) (-0.62, 0.38) (-0.62, 0.62) (-0.62, 0.88) (-0.62, 1.12) (-0.62, 1.38) (-0.62, 1.62) (-0.62, 1.88)
(-0.38, -1.88) (-0.38, -1.62) (-0.38, -1.38) (-0.38, -1.12) (-0.38, -0.88) (-0.38, -0.62) (-0.38, -0.38) (-0.38, -0.12) (-0.38, 0.12) (-0.38, 0.38) (-0.38, 0.62) (-0.38, 0.88) (-0.38, 1.12) (-0.38, 1.38) (-0.38, 1.62) (-0.38, 1.88)
(-0.12, -1.88) (-0.12, -1.62) (-0.12, -1.38) (-0.12, -1.12) (-0.12, -0.88) (-0.12, -0.62) (-0.12, -0.38) (-0.12, -0.12) (-0.12, 0.12) (-0.12, 0.38) (-0.12, 0.62) (-0.12, 0.88) (-0.12, 1.12) (-0.12, 1.38) (-0.12, 1.62) (-0.12, 1.88)
( 0.12, -1.88) ( 0.12, -1.62) ( 0.12, -1.38) ( 0.12, -1.12) ( 0.12, -0.88) ( 0.12, -0.62) ( 0.12, -0.38) ( 0.12, -0.12) ( 0.12, 0.12) ( 0.12, 0.38) ( 0.12, 0.62) ( 0.12, 0.88) ( 0.12, 1.12) ( 0.12, 1.38) ( 0.12, 1.62) ( 0.12, 1.88)
( 0.38, -1.88) ( 0.38, -1.62) ( 0.38, -1.38) ( 0.38, -1.12) ( 0.38, -0.88) ( 0.38, -0.62) ( 0.38, -0.38) ( 0.38, -0.12) ( 0.38, 0.12) ( 0.38, 0.38) ( 0.38, 0.62) ( 0.38, 0.88) ( 0.38, 1.12) ( 0.38, 1.38) ( 0.38, 1.62) ( 0.38, 1.88)
( 0.62, -1.88) ( 0.62, -1.62) ( 0.62, -1.38) ( 0.62, -1.12) ( 0.62, -0.88) ( 0.62, -0.62) ( 0.62, -0.38) ( 0.62, -0.12) ( 0.62, 0.12) ( 0.62, 0.38) ( 0.62, 0.62) ( 0.62, 0.88) ( 0.62, 1.12) ( 0.62, 1.38) ( 0.62, 1.62) ( 0.62, 1.88)
( 0.88, -1.88) ( 0.88, -1.62) ( 0.88, -1.38) ( 0.88, -1.12) ( 0.88, -0.88) ( 0.88, -0.62) ( 0.88, -0.38) ( 0.88, -0.12) ( 0.88, 0.12) ( 0.88, 0.38) ( 0.88, 0.62) ( 0.88, 0.88) ( 0.88, 1.12) ( 0.88, 1.38) ( 0.88, 1.62) ( 0.88, 1.88)
( 1.12, -1.88) ( 1.12, -1.62) ( 1.12, -1.38) ( 1.12, -1.12) ( 1.12, -0.88) ( 1.12, -0.62) ( 1.12, -0.38) ( 1.12, -0.12) ( 1.12, 0.12) ( 1.12, 0.38) ( 1.12, 0.62) ( 1.12, 0.88) ( 1.12, 1.12) ( 1.12, 1.38) ( 1.12, 1.62) ( 1.12, 1.88)
( 1.38, -1.88) ( 1.38, -1.62) ( 1.38, -1.38) ( 1.38, -1.12) ( 1.38, -0.88) ( 1.38, -0.62) ( 1.38, -0.38) ( 1.38, -0.12) ( 1.38, 0.12) ( 1.38, 0.38) ( 1.38, 0.62) ( 1.38, 0.88) ( 1.38, 1.12) ( 1.38, 1.38) ( 1.38, 1.62) ( 1.38, 1.88)
( 1.62, -1.88) ( 1.62, -1.62) ( 1.62, -1.38) ( 1.62, -1.12) ( 1.62, -0.88) ( 1.62, -0.62) ( 1.62, -0.38) ( 1.62, -0.12) ( 1.62, 0.12) ( 1.62, 0.38) ( 1.62, 0.62) ( 1.62, 0.88) ( 1.62, 1.12) ( 1.62, 1.38) ( 1.62, 1.62) ( 1.62, 1.88)
( 1.88, -1.88) ( 1.88, -1.62) ( 1.88, -1.38) ( 1.88, -1.12) ( 1.88, -0.88) ( 1.88, -0.62) ( 1.88, -0.38) ( 1.88, -0.12) ( 1.88, 0.12) ( 1.88, 0.38) ( 1.88, 0.62) ( 1.88, 0.88) ( 1.88, 1.12) ( 1.88, 1.38) ( 1.88, 1.62) ( 1.88, 1.88)
zoom: 14
(-1.94, -1.94) (-1.94, -1.81) (-1.94, -1.69) (-1.94, -1.56) (-1.94, -1.44) (-1.94, -1.31) (-1.94, -1.19) (-1.94, -1.06) (-1.94, -0.94) (-1.94, -0.81) (-1.94, -0.69) (-1.94, -0.56) (-1.94, -0.44) (-1.94, -0.31) (-1.94, -0.19) (-1.94, -0.06) (-1.94, 0.06) (-1.94, 0.19) (-1.94, 0.31) (-1.94, 0.44) (-1.94, 0.56) (-1.94, 0.69) (-1.94, 0.81) (-1.94, 0.94) (-1.94, 1.06) (-1.94, 1.19) (-1.94, 1.31) (-1.94, 1.44) (-1.94, 1.56) (-1.94, 1.69) (-1.94, 1.81) (-1.94, 1.94)
(-1.81, -1.94) (-1.81, -1.81) (-1.81, -1.69) (-1.81, -1.56) (-1.81, -1.44) (-1.81, -1.31) (-1.81, -1.19) (-1.81, -1.06) (-1.81, -0.94) (-1.81, -0.81) (-1.81, -0.69) (-1.81, -0.56) (-1.81, -0.44) (-1.81, -0.31) (-1.81, -0.19) (-1.81, -0.06) (-1.81, 0.06) (-1.81, 0.19) (-1.81, 0.31) (-1.81, 0.44) (-1.81, 0.56) (-1.81, 0.69) (-1.81, 0.81) (-1.81, 0.94) (-1.81, 1.06) (-1.81, 1.19) (-1.81, 1.31) (-1.81, 1.44) (-1.81, 1.56) (-1.81, 1.69) (-1.81, 1.81) (-1.81, 1.94)
(-1.69, -1.94) (-1.69, -1.81) (-1.69, -1.69) (-1.69, -1.56) (-1.69, -1.44) (-1.69, -1.31) (-1.69, -1.19) (-1.69, -1.06) (-1.69, -0.94) (-1.69, -0.81) (-1.69, -0.69) (-1.69, -0.56) (-1.69, -0.44) (-1.69, -0.31) (-1.69, -0.19) (-1.69, -0.06) (-1.69, 0.06) (-1.69, 0.19) (-1.69, 0.31) (-1.69, 0.44) (-1.69, 0.56) (-1.69, 0.69) (-1.69, 0.81) (-1.69, 0.94) (-1.69, 1.06) (-1.69, 1.19) (-1.69, 1.31) (-1.69, 1.44) (-1.69, 1.56) (-1.69, 1.69) (-1.69, 1.81) (-1.69, 1.94)
(-1.56, -1.94) (-1.56, -1.81) (-1.56, -1.69) (-1.56, -1.56) (-1.56, -1.44) (-1.56, -1.31) (-1.56, -1.19) (-1.56, -1.06) (-1.56, -0.94) (-1.56, -0.81) (-1.56, -0.69) (-1.56, -0.56) (-1.56, -0.44) (-1.56, -0.31) (-1.56, -0.19) (-1.56, -0.06) (-1.56, 0.06) (-1.56, 0.19) (-1.56, 0.31) (-1.56, 0.44) (-1.56, 0.56) (-1.56, 0.69) (-1.56, 0.81) (-1.56, 0.94) (-1.56, 1.06) (-1.56, 1.19) (-1.56, 1.31) (-1.56, 1.44) (-1.56, 1.56) (-1.56, 1.69) (-1.56, 1.81) (-1.56, 1.94)
(-1.44, -1.94) (-1.44, -1.81) (-1.44, -1.69) (-1.44, -1.56) (-1.44, -1.44) (-1.44, -1.31) (-1.44, -1.19) (-1.44, -1.06) (-1.44, -0.94) (-1.44, -0.81) (-1.44, -0.69) (-1.44, -0.56) (-1.44, -0.44) (-1.44, -0.31) (-1.44, -0.19) (-1.44, -0.06) (-1.44, 0.06) (-1.44, 0.19) (-1.44, 0.31) (-1.44, 0.44) (-1.44, 0.56) (-1.44, 0.69) (-1.44, 0.81) (-1.44, 0.94) (-1.44, 1.06) (-1.44, 1.19) (-1.44, 1.31) (-1.44, 1.44) (-1.44, 1.56) (-1.44, 1.69) (-1.44, 1.81) (-1.44, 1.94)
(-1.31, -1.94) (-1.31, -1.81) (-1.31, -1.69) (-1.31, -1.56) (-1.31, -1.44) (-1.31, -1.31) (-1.31, -1.19) (-1.31, -1.06) (-1.31, -0.94) (-1.31, -0.81) (-1.31, -0.69) (-1.31, -0.56) (-1.31, -0.44) (-1.31, -0.31) (-1.31, -0.19) (-1.31, -0.06) (-1.31, 0.06) (-1.31, 0.19) (-1.31, 0.31) (-1.31, 0.44) (-1.31, 0.56) (-1.31, 0.69) (-1.31, 0.81) (-1.31, 0.94) (-1.31, 1.06) (-1.31, 1.19) (-1.31, 1.31) (-1.31, 1.44) (-1.31, 1.56) (-1.31, 1.69) (-1.31, 1.81) (-1.31, 1.94)
(-1.19, -1.94) (-1.19, -1.81) (-1.19, -1.69) (-1.19, -1.56) (-1.19, -1.44) (-1.19, -1.31) (-1.19, -1.19) (-1.19, -1.06) (-1.19, -0.94) (-1.19, -0.81) (-1.19, -0.69) (-1.19, -0.56) (-1.19, -0.44) (-1.19, -0.31) (-1.19, -0.19) (-1.19, -0.06) (-1.19, 0.06) (-1.19, 0.19) (-1.19, 0.31) (-1.19, 0.44) (-1.19, 0.56) (-1.19, 0.69) (-1.19, 0.81) (-1.19, 0.94) (-1.19, 1.06) (-1.19, 1.19) (-1.19, 1.31) (-1.19, 1.44) (-1.19, 1.56) (-1.19, 1.69) (-1.19, 1.81) (-1.19, 1.94)
(-1.06, -1.94) (-1.06, -1.81) (-1.06, -1.69) (-1.06, -1.56) (-1.06, -1.44) (-1.06, -1.31) (-1.06, -1.19) (-1.06, -1.06) (-1.06, -0.94) (-1.06, -0.81) (-1.06, -0.69) (-1.06, -0.56) (-1.06, -0.44) (-1.06, -0.31) (-1.06, -0.19) (-1.06, -0.06) (-1.06, 0.06) (-1.06, 0.19) (-1.06, 0.31) (-1.06, 0.44) (-1.06, 0.56) (-1.06, 0.69) (-1.06, 0.81) (-1.06, 0.94) (-1.06, 1.06) (-1.06, 1.19) (-1.06, 1.31) (-1.06, 1.44) (-1.06, 1.56) (-1.06, 1.69) (-1.06, 1.81) (-1.06, 1.94)
(-0.94, -1.94) (-0.94, -1.81) (-0.94, -1.69) (-0.94, -1.56) (-0.94, -1.44) (-0.94, -1.31) (-0.94, -1.19) (-0.94, -1.06) (-0.94, -0.94) (-0.94, -0.81) (-0.94, -0.69) (-0.94, -0.56) (-0.94, -0.44) (-0.94, -0.31) (-0.94, -0.19) (-0.94, -0.06) (-0.94, 0.06) (-0.94, 0.19) (-0.94, 0.31) (-0.94, 0.44) (-0.94, 0.56) (-0.94, 0.69) (-0.94, 0.81) (-0.94, 0.94) (-0.94, 1.06) (-0.94, 1.19) (-0.94, 1.31) (-0.94, 1.44) (-0.94, 1.56) (-0.94, 1.69) (-0.94, 1.81) (-0.94, 1.94)
(-0.81, -1.94) (-0.81, -1.81) (-0.81, -1.69) (-0.81, -1.56) (-0.81, -1.44) (-0.81, -1.31) (-0.81, -1.19) (-0.81, -1.06) (-0.81, -0.94) (-0.81, -0.81) (-0.81, -0.69) (-0.81, -0.56) (-0.81, -0.44) (-0.81, -0.31) (-0.81, -0.19) (-0.81, -0.06) (-0.81, 0.06) (-0.81, 0.19) (-0.81, 0.31) (-0.81, 0.44) (-0.81, 0.56) (-0.81, 0.69) (-0.81, 0.81) (-0.81, 0.94) (-0.81, 1.06) (-0.81, 1.19) (-0.81, 1.31) (-0.81, 1.44) (-0.81, 1.56) (-0.81, 1.69) (-0.81, 1.81) (-0.81, 1.94)
(-0.69, -1.94) (-0.69, -1.81) (-0.69, -1.69) (-0.69, -1.56) (-0.69, -1.44) (-0.69, -1.31) (-0.69, -1.19) (-0.69, -1.06) (-0.69, -0.94) (-0.69, -0.81) (-0.69, -0.69) (-0.69, -0.56) (-0.69, -0.44) (-0.69, -0.31) (-0.69, -0.19) (-0.69, -0.06) (-0.69, 0.06) (-0.69, 0.19) (-0.69, 0.31) (-0.69, 0.44) (-0.69, 0.56) (-0.69, 0.69) (-0.69, 0.81) (-0.69, 0.94) (-0.69, 1.06) (-0.69, 1.19) (-0.69, 1.31) (-0.69, 1.44) (-0.69, 1.56) (-0.69, 1.69) (-0.69, 1.81) (-0.69, 1.94)
(-0.56, -1.94) (-0.56, -1.81) (-0.56, -1.69) (-0.56, -1.56) (-0.56, -1.44) (-0.56, -1.31) (-0.56, -1.19) (-0.56, -1.06) (-0.56, -0.94) (-0.56, -0.81) (-0.56, -0.69) (-0.56, -0.56) (-0.56, -0.44) (-0.56, -0.31) (-0.56, -0.19) (-0.56, -0.06) (-0.56, 0.06) (-0.56, 0.19) (-0.56, 0.31) (-0.56, 0.44) (-0.56, 0.56) (-0.56, 0.69) (-0.56, 0.81) (-0.56, 0.94) (-0.56, 1.06) (-0.56, 1.19) (-0.56, 1.31) (-0.56, 1.44) (-0.56, 1.56) (-0.56, 1.69) (-0.56, 1.81) (-0.56, 1.94)
(-0.44, -1.94) (-0.44, -1.81) (-0.44, -1.69) (-0.44, -1.56) (-0.44, -1.44) (-0.44, -1.31) (-0.44, -1.19) (-0.44, -1.06) (-0.44, -0.94) (-0.44, -0.81) (-0.44, -0.69) (-0.44, -0.56) (-0.44, -0.44) (-0.44, -0.31) (-0.44, -0.19) (-0.44, -0.06) (-0.44, 0.06) (-0.44, 0.19) (-0.44, 0.31) (-0.44, 0.44) (-0.44, 0.56) (-0.44, 0.69) (-0.44, 0.81) (-0.44, 0.94) (-0.44, 1.06) (-0.44, 1.19) (-0.44, 1.31) (-0.44, 1.44) (-0.44, 1.56) (-0.44, 1.69) (-0.44, 1.81) (-0.44, 1.94)
(-0.31, -1.94) (-0.31, -1.81) (-0.31, -1.69) (-0.31, -1.56) (-0.31, -1.44) (-0.31, -1.31) (-0.31, -1.19) (-0.31, -1.06) (-0.31, -0.94) (-0.31, -0.81) (-0.31, -0.69) (-0.31, -0.56) (-0.31, -0.44) (-0.31, -0.31) (-0.31, -0.19) (-0.31, -0.06) (-0.31, 0.06) (-0.31, 0.19) (-0.31, 0.31) (-0.31, 0.44) (-0.31, 0.56) (-0.31, 0.69) (-0.31, 0.81) (-0.31, 0.94) (-0.31, 1.06) (-0.31, 1.19) (-0.31, 1.31) (-0.31, 1.44) (-0.31, 1.56) (-0.31, 1.69) (-0.31, 1.81) (-0.31, 1.94)
(-0.19, -1.94) (-0.19, -1.81) (-0.19, -1.69) (-0.19, -1.56) (-0.19, -1.44) (-0.19, -1.31) (-0.19, -1.19) (-0.19, -1.06) (-0.19, -0.94) (-0.19, -0.81) (-0.19, -0.69) (-0.19, -0.56) (-0.19, -0.44) (-0.19, -0.31) (-0.19, -0.19) (-0.19, -0.06) (-0.19, 0.06) (-0.19, 0.19) (-0.19, 0.31) (-0.19, 0.44) (-0.19, 0.56) (-0.19, 0.69) (-0.19, 0.81) (-0.19, 0.94) (-0.19, 1.06) (-0.19, 1.19) (-0.19, 1.31) (-0.19, 1.44) (-0.19, 1.56) (-0.19, 1.69) (-0.19, 1.81) (-0.19, 1.94)
(-0.06, -1.94) (-0.06, -1.81) (-0.06, -1.69) (-0.06, -1.56) (-0.06, -1.44) (-0.06, -1.31) (-0.06, -1.19) (-0.06, -1.06) (-0.06, -0.94) (-0.06, -0.81) (-0.06, -0.69) (-0.06, -0.56) (-0.06, -0.44) (-0.06, -0.31) (-0.06, -0.19) (-0.06, -0.06) (-0.06, 0.06) (-0.06, 0.19) (-0.06, 0.31) (-0.06, 0.44) (-0.06, 0.56) (-0.06, 0.69) (-0.06, 0.81) (-0.06, 0.94) (-0.06, 1.06) (-0.06, 1.19) (-0.06, 1.31) (-0.06, 1.44) (-0.06, 1.56) (-0.06, 1.69) (-0.06, 1.81) (-0.06, 1.94)
( 0.06, -1.94) ( 0.06, -1.81) ( 0.06, -1.69) ( 0.06, -1.56) ( 0.06, -1.44) ( 0.06, -1.31) ( 0.06, -1.19) ( 0.06, -1.06) ( 0.06, -0.94) ( 0.06, -0.81) ( 0.06, -0.69) ( 0.06, -0.56) ( 0.06, -0.44) ( 0.06, -0.31) ( 0.06, -0.19) ( 0.06, -0.06) ( 0.06, 0.06) ( 0.06, 0.19) ( 0.06, 0.31) ( 0.06, 0.44) ( 0.06, 0.56) ( 0.06, 0.69) ( 0.06, 0.81) ( 0.06, 0.94) ( 0.06, 1.06) ( 0.06, 1.19) ( 0.06, 1.31) ( 0.06, 1.44) ( 0.06, 1.56) ( 0.06, 1.69) ( 0.06, 1.81) ( 0.06, 1.94)
( 0.19, -1.94) ( 0.19, -1.81) ( 0.19, -1.69) ( 0.19, -1.56) ( 0.19, -1.44) ( 0.19, -1.31) ( 0.19, -1.19) ( 0.19, -1.06) ( 0.19, -0.94) ( 0.19, -0.81) ( 0.19, -0.69) ( 0.19, -0.56) ( 0.19, -0.44) ( 0.19, -0.31) ( 0.19, -0.19) ( 0.19, -0.06) ( 0.19, 0.06) ( 0.19, 0.19) ( 0.19, 0.31) ( 0.19, 0.44) ( 0.19, 0.56) ( 0.19, 0.69) ( 0.19, 0.81) ( 0.19, 0.94) ( 0.19, 1.06) ( 0.19, 1.19) ( 0.19, 1.31) ( 0.19, 1.44) ( 0.19, 1.56) ( 0.19, 1.69) ( 0.19, 1.81) ( 0.19, 1.94)
( 0.31, -1.94) ( 0.31, -1.81) ( 0.31, -1.69) ( 0.31, -1.56) ( 0.31, -1.44) ( 0.31, -1.31) ( 0.31, -1.19) ( 0.31, -1.06) ( 0.31, -0.94) ( 0.31, -0.81) ( 0.31, -0.69) ( 0.31, -0.56) ( 0.31, -0.44) ( 0.31, -0.31) ( 0.31, -0.19) ( 0.31, -0.06) ( 0.31, 0.06) ( 0.31, 0.19) ( 0.31, 0.31) ( 0.31, 0.44) ( 0.31, 0.56) ( 0.31, 0.69) ( 0.31, 0.81) ( 0.31, 0.94) ( 0.31, 1.06) ( 0.31, 1.19) ( 0.31, 1.31) ( 0.31, 1.44) ( 0.31, 1.56) ( 0.31, 1.69) ( 0.31, 1.81) ( 0.31, 1.94)
( 0.44, -1.94) ( 0.44, -1.81) ( 0.44, -1.69) ( 0.44, -1.56) ( 0.44, -1.44) ( 0.44, -1.31) ( 0.44, -1.19) ( 0.44, -1.06) ( 0.44, -0.94) ( 0.44, -0.81) ( 0.44, -0.69) ( 0.44, -0.56) ( 0.44, -0.44) ( 0.44, -0.31) ( 0.44, -0.19) ( 0.44, -0.06) ( 0.44, 0.06) ( 0.44, 0.19) ( 0.44, 0.31) ( 0.44, 0.44) ( 0.44, 0.56) ( 0.44, 0.69) ( 0.44, 0.81) ( 0.44, 0.94) ( 0.44, 1.06) ( 0.44, 1.19) ( 0.44, 1.31) ( 0.44, 1.44) ( 0.44, 1.56) ( 0.44, 1.69) ( 0.44, 1.81) ( 0.44, 1.94)
( 0.56, -1.94) ( 0.56, -1.81) ( 0.56, -1.69) ( 0.56, -1.56) ( 0.56, -1.44) ( 0.56, -1.31) ( 0.56, -1.19) ( 0.56, -1.06) ( 0.56, -0.94) ( 0.56, -0.81) ( 0.56, -0.69) ( 0.56, -0.56) ( 0.56, -0.44) ( 0.56, -0.31) ( 0.56, -0.19) ( 0.56, -0.06) ( 0.56, 0.06) ( 0.56, 0.19) ( 0.56, 0.31) ( 0.56, 0.44) ( 0.56, 0.56) ( 0.56, 0.69) ( 0.56, 0.81) ( 0.56, 0.94) ( 0.56, 1.06) ( 0.56, 1.19) ( 0.56, 1.31) ( 0.56, 1.44) ( 0.56, 1.56) ( 0.56, 1.69) ( 0.56, 1.81) ( 0.56, 1.94)
( 0.69, -1.94) ( 0.69, -1.81) ( 0.69, -1.69) ( 0.69, -1.56) ( 0.69, -1.44) ( 0.69, -1.31) ( 0.69, -1.19) ( 0.69, -1.06) ( 0.69, -0.94) ( 0.69, -0.81) ( 0.69, -0.69) ( 0.69, -0.56) ( 0.69, -0.44) ( 0.69, -0.31) ( 0.69, -0.19) ( 0.69, -0.06) ( 0.69, 0.06) ( 0.69, 0.19) ( 0.69, 0.31) ( 0.69, 0.44) ( 0.69, 0.56) ( 0.69, 0.69) ( 0.69, 0.81) ( 0.69, 0.94) ( 0.69, 1.06) ( 0.69, 1.19) ( 0.69, 1.31) ( 0.69, 1.44) ( 0.69, 1.56) ( 0.69, 1.69) ( 0.69, 1.81) ( 0.69, 1.94)
( 0.81, -1.94) ( 0.81, -1.81) ( 0.81, -1.69) ( 0.81, -1.56) ( 0.81, -1.44) ( 0.81, -1.31) ( 0.81, -1.19) ( 0.81, -1.06) ( 0.81, -0.94) ( 0.81, -0.81) ( 0.81, -0.69) ( 0.81, -0.56) ( 0.81, -0.44) ( 0.81, -0.31) ( 0.81, -0.19) ( 0.81, -0.06) ( 0.81, 0.06) ( 0.81, 0.19) ( 0.81, 0.31) ( 0.81, 0.44) ( 0.81, 0.56) ( 0.81, 0.69) ( 0.81, 0.81) ( 0.81, 0.94) ( 0.81, 1.06) ( 0.81, 1.19) ( 0.81, 1.31) ( 0.81, 1.44) ( 0.81, 1.56) ( 0.81, 1.69) ( 0.81, 1.81) ( 0.81, 1.94)
( 0.94, -1.94) ( 0.94, -1.81) ( 0.94, -1.69) ( 0.94, -1.56) ( 0.94, -1.44) ( 0.94, -1.31) ( 0.94, -1.19) ( 0.94, -1.06) ( 0.94, -0.94) ( 0.94, -0.81) ( 0.94, -0.69) ( 0.94, -0.56) ( 0.94, -0.44) ( 0.94, -0.31) ( 0.94, -0.19) ( 0.94, -0.06) ( 0.94, 0.06) ( 0.94, 0.19) ( 0.94, 0.31) ( 0.94, 0.44) ( 0.94, 0.56) ( 0.94, 0.69) ( 0.94, 0.81) ( 0.94, 0.94) ( 0.94, 1.06) ( 0.94, 1.19) ( 0.94, 1.31) ( 0.94, 1.44) ( 0.94, 1.56) ( 0.94, 1.69) ( 0.94, 1.81) ( 0.94, 1.94)
( 1.06, -1.94) ( 1.06, -1.81) ( 1.06, -1.69) ( 1.06, -1.56) ( 1.06, -1.44) ( 1.06, -1.31) ( 1.06, -1.19) ( 1.06, -1.06) ( 1.06, -0.94) ( 1.06, -0.81) ( 1.06, -0.69) ( 1.06, -0.56) ( 1.06, -0.44) ( 1.06, -0.31) ( 1.06, -0.19) ( 1.06, -0.06) ( 1.06, 0.06) ( 1.06, 0.19) ( 1.06, 0.31) ( 1.06, 0.44) ( 1.06, 0.56) ( 1.06, 0.69) ( 1.06, 0.81) ( 1.06, 0.94) ( 1.06, 1.06) ( 1.06, 1.19) ( 1.06, 1.31) ( 1.06, 1.44) ( 1.06, 1.56) ( 1.06, 1.69) ( 1.06, 1.81) ( 1.06, 1.94)
( 1.19, -1.94) ( 1.19, -1.81) ( 1.19, -1.69) ( 1.19, -1.56) ( 1.19, -1.44) ( 1.19, -1.31) ( 1.19, -1.19) ( 1.19, -1.06) ( 1.19, -0.94) ( 1.19, -0.81) ( 1.19, -0.69) ( 1.19, -0.56) ( 1.19, -0.44) ( 1.19, -0.31) ( 1.19, -0.19) ( 1.19, -0.06) ( 1.19, 0.06) ( 1.19, 0.19) ( 1.19, 0.31) ( 1.19, 0.44) ( 1.19, 0.56) ( 1.19, 0.69) ( 1.19, 0.81) ( 1.19, 0.94) ( 1.19, 1.06) ( 1.19, 1.19) ( 1.19, 1.31) ( 1.19, 1.44) ( 1.19, 1.56) ( 1.19, 1.69) ( 1.19, 1.81) ( 1.19, 1.94)
( 1.31, -1.94) ( 1.31, -1.81) ( 1.31, -1.69) ( 1.31, -1.56) ( 1.31, -1.44) ( 1.31, -1.31) ( 1.31, -1.19) ( 1.31, -1.06) ( 1.31, -0.94) ( 1.31, -0.81) ( 1.31, -0.69) ( 1.31, -0.56) ( 1.31, -0.44) ( 1.31, -0.31) ( 1.31, -0.19) ( 1.31, -0.06) ( 1.31, 0.06) ( 1.31, 0.19) ( 1.31, 0.31) ( 1.31, 0.44) ( 1.31, 0.56) ( 1.31, 0.69) ( 1.31, 0.81) ( 1.31, 0.94) ( 1.31, 1.06) ( 1.31, 1.19) ( 1.31, 1.31) ( 1.31, 1.44) ( 1.31, 1.56) ( 1.31, 1.69) ( 1.31, 1.81) ( 1.31, 1.94)
( 1.44, -1.94) ( 1.44, -1.81) ( 1.44, -1.69) ( 1.44, -1.56) ( 1.44, -1.44) ( 1.44, -1.31) ( 1.44, -1.19) ( 1.44, -1.06) ( 1.44, -0.94) ( 1.44, -0.81) ( 1.44, -0.69) ( 1.44, -0.56) ( 1.44, -0.44) ( 1.44, -0.31) ( 1.44, -0.19) ( 1.44, -0.06) ( 1.44, 0.06) ( 1.44, 0.19) ( 1.44, 0.31) ( 1.44, 0.44) ( 1.44, 0.56) ( 1.44, 0.69) ( 1.44, 0.81) ( 1.44, 0.94) ( 1.44, 1.06) ( 1.44, 1.19) ( 1.44, 1.31) ( 1.44, 1.44) ( 1.44, 1.56) ( 1.44, 1.69) ( 1.44, 1.81) ( 1.44, 1.94)
( 1.56, -1.94) ( 1.56, -1.81) ( 1.56, -1.69) ( 1.56, -1.56) ( 1.56, -1.44) ( 1.56, -1.31) ( 1.56, -1.19) ( 1.56, -1.06) ( 1.56, -0.94) ( 1.56, -0.81) ( 1.56, -0.69) ( 1.56, -0.56) ( 1.56, -0.44) ( 1.56, -0.31) ( 1.56, -0.19) ( 1.56, -0.06) ( 1.56, 0.06) ( 1.56, 0.19) ( 1.56, 0.31) ( 1.56, 0.44) ( 1.56, 0.56) ( 1.56, 0.69) ( 1.56, 0.81) ( 1.56, 0.94) ( 1.56, 1.06) ( 1.56, 1.19) ( 1.56, 1.31) ( 1.56, 1.44) ( 1.56, 1.56) ( 1.56, 1.69) ( 1.56, 1.81) ( 1.56, 1.94)
( 1.69, -1.94) ( 1.69, -1.81) ( 1.69, -1.69) ( 1.69, -1.56) ( 1.69, -1.44) ( 1.69, -1.31) ( 1.69, -1.19) ( 1.69, -1.06) ( 1.69, -0.94) ( 1.69, -0.81) ( 1.69, -0.69) ( 1.69, -0.56) ( 1.69, -0.44) ( 1.69, -0.31) ( 1.69, -0.19) ( 1.69, -0.06) ( 1.69, 0.06) ( 1.69, 0.19) ( 1.69, 0.31) ( 1.69, 0.44) ( 1.69, 0.56) ( 1.69, 0.69) ( 1.69, 0.81) ( 1.69, 0.94) ( 1.69, 1.06) ( 1.69, 1.19) ( 1.69, 1.31) ( 1.69, 1.44) ( 1.69, 1.56) ( 1.69, 1.69) ( 1.69, 1.81) ( 1.69, 1.94)
( 1.81, -1.94) ( 1.81, -1.81) ( 1.81, -1.69) ( 1.81, -1.56) ( 1.81, -1.44) ( 1.81, -1.31) ( 1.81, -1.19) ( 1.81, -1.06) ( 1.81, -0.94) ( 1.81, -0.81) ( 1.81, -0.69) ( 1.81, -0.56) ( 1.81, -0.44) ( 1.81, -0.31) ( 1.81, -0.19) ( 1.81, -0.06) ( 1.81, 0.06) ( 1.81, 0.19) ( 1.81, 0.31) ( 1.81, 0.44) ( 1.81, 0.56) ( 1.81, 0.69) ( 1.81, 0.81) ( 1.81, 0.94) ( 1.81, 1.06) ( 1.81, 1.19) ( 1.81, 1.31) ( 1.81, 1.44) ( 1.81, 1.56) ( 1.81, 1.69) ( 1.81, 1.81) ( 1.81, 1.94)
( 1.94, -1.94) ( 1.94, -1.81) ( 1.94, -1.69) ( 1.94, -1.56) ( 1.94, -1.44) ( 1.94, -1.31) ( 1.94, -1.19) ( 1.94, -1.06) ( 1.94, -0.94) ( 1.94, -0.81) ( 1.94, -0.69) ( 1.94, -0.56) ( 1.94, -0.44) ( 1.94, -0.31) ( 1.94, -0.19) ( 1.94, -0.06) ( 1.94, 0.06) ( 1.94, 0.19) ( 1.94, 0.31) ( 1.94, 0.44) ( 1.94, 0.56) ( 1.94, 0.69) ( 1.94, 0.81) ( 1.94, 0.94) ( 1.94, 1.06) ( 1.94, 1.19) ( 1.94, 1.31) ( 1.94, 1.44) ( 1.94, 1.56) ( 1.94, 1.69) ( 1.94, 1.81) ( 1.94, 1.94)
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