Congrats to FTF-er and mathie Falach-fead!

If you aren't familiar with this kind of puzzle, you may want to try solving GC61BVX: (NSML02: a Micro Logic Tutorial) first.
You can get the coordinates by solving the following: The 26 letters (A, B, C, ... Z) represent the numbers from 1 to 26. No two letters are equal. "G*A" represents multiplication.
A - B - C - D - E - F + G + H + I - J - K + L - M + N - O + P + Q + R + S - T - U - V - W - X - Y + Z = -61
A - B - C - D + E - F + G - H + I - J - K - L - M + N - O + P - Q + R - S - T - U + V + W + X - Y + Z = -31
A + B + C - D + E - F + G - H + I + J - K + L + M - N - O + P - Q - R + S - T + U - V - W + X - Y - Z = -21
A + B - C - D - E + F + G - H + I + J + K + L + M + N - O - P + Q + R - S - T - U - V + W - X - Y + Z = -5
A + B - C + D - E + F + G + H - I + J + K + L - M + N + O - P + Q - R - S - T - U - V - W - X - Y + Z = -71
A - B - C + D - E - F + G - H + I - J - K + L - M + N + O + P - Q + R - S - T - U + V + W - X - Y + Z = 1
A - B - C - D - E + F + G - H + I - J - K + L + M - N + O - P + Q + R - S + T + U + V - W - X + Y + Z = 91
A - B + C + D - E + F + G + H + I - J + K - L + M - N - O - P - Q + R + S - T - U + V + W + X - Y - Z = 13
A + B + C - D + E + F - G - H - I + J - K + L - M + N - O + P - Q + R + S - T - U + V + W - X - Y - Z = -57
A - B - C + D - E - F - G + H + I + J + K + L + M + N - O + P - Q + R + S + T - U + V + W + X - Y - Z = 73
A - B + C + D - E - F - G - H - I - J - K - L + M - N + O + P - Q + R - S - T + U + V + W + X + Y - Z = 29
A + B - C - D - E - F + G + H + I - J + K - L + M + N + O + P + Q - R - S - T + U - V - W - X - Y + Z = -11
A + B - C + D + E - F + G + H - I - J + K + L + M + N - O - P - Q + R - S + T - U + V - W + X - Y - Z = -11
A + B - C - D - E + F - G + H - I - J - K - L - M + N - O + P + Q + R + S + T + U - V - W + X - Y + Z = 43
A - B + C + D + E + F + G + H - I - J + K - L + M - N - O + P + Q - R + S - T - U + V + W + X - Y + Z = 13
A - B + C - D - E - F - G - H - I + J + K - L + M - N - O - P + Q + R + S - T + U + V - W + X - Y - Z = -57
A + B - C - D - E - F - G + H - I - J - K - L - M + N - O - P + Q + R - S - T - U - V - W + X - Y + Z = -135
A + B - C + D + E - F - G - H - I + J + K - L + M + N - O - P + Q + R - S - T + U + V - W + X + Y + Z = 51
A - B + C - D - E - F - G + H - I + J - K + L - M - N + O + P + Q - R - S + T + U - V - W + X + Y + Z = 9
A - B - C - D - E - F - G + H - I - J + K - L - M - N + O - P + Q - R - S + T - U + V - W + X + Y + Z = -91
A + B + C + D + E - F - G - H + I + J - K - L - M - N - O - P + Q + R - S - T + U + V - W - X + Y - Z = -47
A - B + C - D - E - F - G - H - I + J - K - L - M - N - O - P + Q - R + S - T - U - V - W - X + Y - Z = -213
A - B + C + D + E + F - G - H - I - J + K - L + M + N - O + P + Q - R - S + T - U + V - W - X - Y - Z = -59
A + B + C - D + E + F - G - H - I - J - K - L - M - N - O - P + Q + R + S + T + U + V + W - X - Y + Z = 19
A - B + C + D + E + F - G - H + I - J + K - L + M - N - O + P + Q - R + S + T + U + V + W - X + Y - Z = 83
A - B - C + D - E + F - G + H - I + J + K - L - M + N - O - P - Q - R + S - T + U - V + W + X - Y + Z = -15
To solve this puzzle, enter the 26 letters in the checker below, in the order from smallest to largest with no spaces. For example if the solution was A=1, B=2, ..., Z = 26, then you'd enter ABCDEFGHIJKLMNOPQRSTUVWXYZ in the checker.

You can validate your puzzle solution with certitude.
If you do hire a mathematician, she may find the equivalent format of the above equations more convenient to work with:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z answer
[1,] 1 -1 -1 -1 -1 -1 1 1 1 -1 -1 1 -1 1 -1 1 1 1 1 -1 -1 -1 -1 -1 -1 1 -61
[2,] 1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 -1 1 -1 1 -1 1 -1 -1 -1 1 1 1 -1 1 -31
[3,] 1 1 1 -1 1 -1 1 -1 1 1 -1 1 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 -1 -21
[4,] 1 1 -1 -1 -1 1 1 -1 1 1 1 1 1 1 -1 -1 1 1 -1 -1 -1 -1 1 -1 -1 1 -5
[5,] 1 1 -1 1 -1 1 1 1 -1 1 1 1 -1 1 1 -1 1 -1 -1 -1 -1 -1 -1 -1 -1 1 -71
[6,] 1 -1 -1 1 -1 -1 1 -1 1 -1 -1 1 -1 1 1 1 -1 1 -1 -1 -1 1 1 -1 -1 1 1
[7,] 1 -1 -1 -1 -1 1 1 -1 1 -1 -1 1 1 -1 1 -1 1 1 -1 1 1 1 -1 -1 1 1 91
[8,] 1 -1 1 1 -1 1 1 1 1 -1 1 -1 1 -1 -1 -1 -1 1 1 -1 -1 1 1 1 -1 -1 13
[9,] 1 1 1 -1 1 1 -1 -1 -1 1 -1 1 -1 1 -1 1 -1 1 1 -1 -1 1 1 -1 -1 -1 -57
[10,] 1 -1 -1 1 -1 -1 -1 1 1 1 1 1 1 1 -1 1 -1 1 1 1 -1 1 1 1 -1 -1 73
[11,] 1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 1 -1 1 1 -1 1 -1 -1 1 1 1 1 1 -1 29
[12,] 1 1 -1 -1 -1 -1 1 1 1 -1 1 -1 1 1 1 1 1 -1 -1 -1 1 -1 -1 -1 -1 1 -11
[13,] 1 1 -1 1 1 -1 1 1 -1 -1 1 1 1 1 -1 -1 -1 1 -1 1 -1 1 -1 1 -1 -1 -11
[14,] 1 1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 1 1 1 1 1 1 -1 -1 1 -1 1 43
[15,] 1 -1 1 1 1 1 1 1 -1 -1 1 -1 1 -1 -1 1 1 -1 1 -1 -1 1 1 1 -1 1 13
[16,] 1 -1 1 -1 -1 -1 -1 -1 -1 1 1 -1 1 -1 -1 -1 1 1 1 -1 1 1 -1 1 -1 -1 -57
[17,] 1 1 -1 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 1 -1 -1 1 1 -1 -1 -1 -1 -1 1 -1 1 -135
[18,] 1 1 -1 1 1 -1 -1 -1 -1 1 1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 1 1 1 51
[19,] 1 -1 1 -1 -1 -1 -1 1 -1 1 -1 1 -1 -1 1 1 1 -1 -1 1 1 -1 -1 1 1 1 9
[20,] 1 -1 -1 -1 -1 -1 -1 1 -1 -1 1 -1 -1 -1 1 -1 1 -1 -1 1 -1 1 -1 1 1 1 -91
[21,] 1 1 1 1 1 -1 -1 -1 1 1 -1 -1 -1 -1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 -1 -47
[22,] 1 -1 1 -1 -1 -1 -1 -1 -1 1 -1 -1 -1 -1 -1 -1 1 -1 1 -1 -1 -1 -1 -1 1 -1 -213
[23,] 1 -1 1 1 1 1 -1 -1 -1 -1 1 -1 1 1 -1 1 1 -1 -1 1 -1 1 -1 -1 -1 -1 -59
[24,] 1 1 1 -1 1 1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 -1 -1 1 19
[25,] 1 -1 1 1 1 1 -1 -1 1 -1 1 -1 1 -1 -1 1 1 -1 1 1 1 1 1 -1 1 -1 83
[26,] 1 -1 -1 1 -1 1 -1 1 -1 1 1 -1 -1 1 -1 -1 -1 -1 1 -1 1 -1 1 1 -1 1 -15
Why is this a difficulty 4.5 and not a 5? As "Deep Thought" might have said "I speak of none other than the puzzle that is to come after me."

This cache owner
supports the
Association of Nova Scotia Geocaching