The purpose of this question is to write a complete python program that creates and displays a table of polar and Cartesian coordinates for a spiral. An example of a spiral is shown below. 200 Spiral -100 -130 -100 50 50 00 150 200 Write a function that begins with the following header. def computeCoordinatesf(intervals, maxAngle, scale): where intervals is the number of equally spaced angles, maxAngle is the maximum angle for the spiral, and scale is the scale factor for the spiral. The larger maxAngle is, the more revolutions in the spiral. The larger scale is, the farther apart are the lines of the spiral. Create a list of equally spaced angles from 0 to maxAngle radians. Create a list of radii. Use the formula radius scale x angle to compute each radius from the corresponding angle. Add the radius to the list of radii. The lists of angles and radii are the polar coordinates of the points in the spiral. Using the polar coordinates, create lists of the corresponding X and Y coordinates (Cartesian coordinates) of the points on the spiral. Use the formula x = radius x cos(angle) to compute each X coordinate from the corresponding radius and angle. Add each X coordinate to the list of X coordinates. Use the formula y radius x sin(angle) to compute each Y coordinate from the corresponding radius and angle. Add each Y coordinate to the list of Y coordinates. Return the lists of angles, radii, X coordinates and Y coordinates in that order. Write a function that begins with the following header. def displayCoordinates(angles, radii, xCoords, yCoords): This function is given the lists of angles, radii, X coordinates and Y coordinates of the points in the spiral. Display the angle, radius, X coordinate and Y coordinate of each point in the spiral with the coordinates for one point per line of output. See the sample run of the program for the format of the output. Display each angle and radius to 4 decimal places in 10 character positions. Display each X and Y coordinate to 6 decimal