#[0] covert below ruby to to python def double(point)

# slope = (3x₁² + a) / 2y₁

slope = ((3 * point[:x] ** 2 + $a) * inverse((2 * point[:y]), $p)) % $p # using inverse to help with division

# x = slope² - 2x₁

x = (slope ** 2 - (2 * point[:x])) % $p

# y = slope * (x₁ - x) - y₁

y = (slope * (point[:x] - x) - point[:y]) % $p

# Return the new point

return { x: x, y: y }

end