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Kepler's Second Favorite Puzzle

Be sure to double down after each step.

ℂ

As you ℘-1lot, you are distracted by donuts.

(x, y)

  • (-4.590294 + 6.225986i, 51.446238 - 5.523002i)
  • (-3.582742 + 14.723887i, 114.739008 - 57.888165i)
  • (-2.303329 + 5.60463i, 39.624335 - 17.755224i)
  • (-1.260132 + 1.116731i, 16.818653 - 5.81005i)
  • (-8.94983i, -47.74764 - 47.74764i)
  • (3.000334i, -18.375494 + 18.375494i)
  • (0.378225 + 4.923768i, -24.802618 + 28.222322i)
  • (2.303329 + 5.60463i, -17.755224 + 39.624335i)
  • (2.933247 + 3.817621i, -8.532803 + 32.240556i)
  • (2.965209 - 7.215164i, 20.196769 + 52.121386i)
  • (8.045719 + 4.202393i, -25.615465 - 42.416083i)

Blue square with 'i' in the top left corner, '1+i' in the top right corner, '0' in the bottom left corner, and '1' in the bottom right corner. Double arrows go from 'i' to '1+i' and '0' to '1'. Single arrows go from '0' to 'i' and '1' to '1+i'. This square surrounds a scatterplot.

ℚ

All your choices should minimally be of the very first rank.

53, 236, 1405, 1940, 1949, 2089, 2092, 2357, 3513, 5722, 9813

Blue square surrounding a coordinate axis. Both the horizontal axis and the vertical axis go from -10 to 10.

𝐅17

The equation may be short, but it’s all you need to group up, set the table, and finish this thing off.

(x, y)

L = (8, 3)

U = (0, _)

Blue 26x26 square. A...Z run along the top edge just above the blue square, also along the edge just to the left of the blue square. These letters appear at the following locations: (A,A) = D, (C,C) = V, (D, D) = N, (E, E) = R, (H, H) = A, (L, L) = E, (N, N) = L, (O, O) = O, (P, P) = H, (R, R) = C, (T, T) = P, (U, A) = Z, (U, C) = S, (U, D) = F, (U, E) = I, (U, H) = Q, (U, L) = G, (U, N) = J, (U, O) = U, (U, P) = Y, (U, R) = K, (U, T) = X, (U, V) = B, (U, W) = M, (V, V) = W, (W, W) = T.