Revisions to Are perfect cubes possible?

More readable?

Source Link

edit approved Jun 13, 2016 at 17:13

1

(-28, 1, 26, -26)(-28, 27, -26, 26)(-28, 28, -27, 0)(-28, 28, -27, 26)(-28, 28, -1, -26)(-28, 28, -1, 0)(-27, 19, -19, 27)(-27, 19, 8, 0)(-27, 26, -26, 27)(-27, 26, 1, 0)(-27, 28, -28, 27)(-27, 28, -1, 0)(-26, -1, 28, -28)(-26, 26, -27, 0)(-26, 26, -27, 28)(-26, 26, 1, -28)(-26, 26, 1, 0)(-26, 27, -28, 28)(-19, 19, -27, 0)(-19, 19, 8, 0)(-16, 16, -8, 0)(-9, 1, 7, -7)(-9, 8, -7, 7)(-9, 9, -8, 0)(-9, 9, -8, 7)(-9, 9, -1, -7)(-9, 9, -1, 0)(-8, -19, 19, 8)(-8, -19, 27, 0)(-8, 7, -7, 8)(-8, 7, 1, 0)(-8, 9, -9, 8)(-8, 9, -1, 0)(-8, 16, -16, 8)(-7, -1, 9, -9)(-7, 7, -8, 0)(-7, 7, -8, 9)(-7, 7, 1, -9)(-7, 7, 1, 0)(-7, 8, -9, 9)(-2, 2, -1, 0)(-1, -26, 26, 1)(-1, -26, 27, 0)(-1, -7, 7, 1)(-1, -7, 8, 0)(-1, 2, -2, 1)(-1, 9, -9, 1)(-1, 9, -8, 0)(-1, 28, -28, 1)(-1, 28, -27, 0)(0, -27, 19, -19)(0, -27, 19, 8)(0, -27, 26, -26)(0, -27, 26, 1)(0, -27, 28, -28)(0, -27, 28, -1)(0, -8, -19, 19)(0, -8, -19, 27)(0, -8, 7, -7)(0, -8, 7, 1)(0, -8, 9, -9)(0, -8, 9, -1)(0, -8, 16, -16)(0, -1, -26, 26)(0, -1, -26, 27)(0, -1, -7, 7)(0, -1, -7, 8)(0, -1, 2, -2)(0, -1, 9, -9)(0, -1, 9, -8)(0, -1, 28, -28)(0, -1, 28, -27)(0, 1, -28, 27)(0, 1, -28, 28)(0, 1, -9, 8)(0, 1, -9, 9)(0, 1, -2, 2)(0, 1, 7, -8)(0, 1, 7, -7)(0, 1, 26, -27)(0, 1, 26, -26)(0, 8, -16, 16)(0, 8, -9, 1)(0, 8, -9, 9)(0, 8, -7, -1)(0, 8, -7, 7)(0, 8, 19, -27)(0, 8, 19, -19)(0, 27, -28, 1)(0, 27, -28, 28)(0, 27, -26, -1)(0, 27, -26, 26)(0, 27, -19, -8)(0, 27, -19, 19)(1, -28, 27, 0)(1, -28, 28, -1)(1, -9, 8, 0)(1, -9, 9, -1)(1, -2, 2, -1)(1, 7, -8, 0)(1, 7, -7, -1)(1, 26, -27, 0)(1, 26, -26, -1)(2, -2, 1, 0)(7, -8, 9, -9)(7, -7, -1, 0)(7, -7, -1, 9)(7, -7, 8, -9)(7, -7, 8, 0)(7, 1, -9, 9)(8, -16, 16, -8)(8, -9, 1, 0)(8, -9, 9, -8)(8, -7, -1, 0)(8, -7, 7, -8)(8, 19, -27, 0)(8, 19, -19, -8)(9, -9, 1, 0)(9, -9, 1, 7)(9, -9, 8, -7)(9, -9, 8, 0)(9, -8, 7, -7)(9, -1, -7, 7)(16, -16, 8, 0)(19, -19, -8, 0)(19, -19, 27, 0)

! (-28, 1, 26, -26)
(-28, 27, -26, 26)
(-28, 28, -27, 0)
(-28, 28, -27, 26)
(-28, 28, -1, -26)
(-28, 28, -1, 0)
(-27, 19, -19, 27)
(-27, 19, 8, 0)
(-27, 26, -26, 27)
(-27, 26, 1, 0)
(-27, 28, -28, 27)
(-27, 28, -1, 0)
(-26, -1, 28, -28)
(-26, 26, -27, 0)
(-26, 26, -27, 28)
(-26, 26, 1, -28)
(-26, 26, 1, 0)
(-26, 27, -28, 28)
(-19, 19, -27, 0)
(-19, 19, 8, 0)
(-16, 16, -8, 0)
(-9, 1, 7, -7)
(-9, 8, -7, 7)
(-9, 9, -8, 0)
(-9, 9, -8, 7)
(-9, 9, -1, -7)
(-9, 9, -1, 0)
(-8, -19, 19, 8)
(-8, -19, 27, 0)
(-8, 7, -7, 8)
(-8, 7, 1, 0)
(-8, 9, -9, 8)
(-8, 9, -1, 0)
(-8, 16, -16, 8)
(-7, -1, 9, -9)
(-7, 7, -8, 0)
(-7, 7, -8, 9)
(-7, 7, 1, -9)
(-7, 7, 1, 0)
(-7, 8, -9, 9)
(-2, 2, -1, 0)
(-1, -26, 26, 1)
(-1, -26, 27, 0)
(-1, -7, 7, 1)
(-1, -7, 8, 0)
(-1, 2, -2, 1)
(-1, 9, -9, 1)
(-1, 9, -8, 0)
(-1, 28, -28, 1)
(-1, 28, -27, 0)
(0, -27, 19, -19)
(0, -27, 19, 8)
(0, -27, 26, -26)
(0, -27, 26, 1)
(0, -27, 28, -28)
(0, -27, 28, -1)
(0, -8, -19, 19)
(0, -8, -19, 27)
(0, -8, 7, -7)
(0, -8, 7, 1)
(0, -8, 9, -9)
(0, -8, 9, -1)
(0, -8, 16, -16)
(0, -1, -26, 26)
(0, -1, -26, 27)
(0, -1, -7, 7)
(0, -1, -7, 8)
(0, -1, 2, -2)
(0, -1, 9, -9)
(0, -1, 9, -8)
(0, -1, 28, -28)
(0, -1, 28, -27)
(0, 1, -28, 27)
(0, 1, -28, 28)
(0, 1, -9, 8)
(0, 1, -9, 9)
(0, 1, -2, 2)
(0, 1, 7, -8)
(0, 1, 7, -7)
(0, 1, 26, -27)
(0, 1, 26, -26)
(0, 8, -16, 16)
(0, 8, -9, 1)
(0, 8, -9, 9)
(0, 8, -7, -1)
(0, 8, -7, 7)
(0, 8, 19, -27)
(0, 8, 19, -19)
(0, 27, -28, 1)
(0, 27, -28, 28)
(0, 27, -26, -1)
(0, 27, -26, 26)
(0, 27, -19, -8)
(0, 27, -19, 19)
(1, -28, 27, 0)
(1, -28, 28, -1)
(1, -9, 8, 0)
(1, -9, 9, -1)
(1, -2, 2, -1)
(1, 7, -8, 0)
(1, 7, -7, -1)
(1, 26, -27, 0)
(1, 26, -26, -1)
(2, -2, 1, 0)
(7, -8, 9, -9)
(7, -7, -1, 0)
(7, -7, -1, 9)
(7, -7, 8, -9)
(7, -7, 8, 0)
(7, 1, -9, 9)
(8, -16, 16, -8)
(8, -9, 1, 0)
(8, -9, 9, -8)
(8, -7, -1, 0)
(8, -7, 7, -8)
(8, 19, -27, 0)
(8, 19, -19, -8)
(9, -9, 1, 0)
(9, -9, 1, 7)
(9, -9, 8, -7)
(9, -9, 8, 0)
(9, -8, 7, -7)
(9, -1, -7, 7)
(16, -16, 8, 0)
(19, -19, -8, 0)
(19, -19, 27, 0)

(-28, 1, 26, -26)(-28, 27, -26, 26)(-28, 28, -27, 0)(-28, 28, -27, 26)(-28, 28, -1, -26)(-28, 28, -1, 0)(-27, 19, -19, 27)(-27, 19, 8, 0)(-27, 26, -26, 27)(-27, 26, 1, 0)(-27, 28, -28, 27)(-27, 28, -1, 0)(-26, -1, 28, -28)(-26, 26, -27, 0)(-26, 26, -27, 28)(-26, 26, 1, -28)(-26, 26, 1, 0)(-26, 27, -28, 28)(-19, 19, -27, 0)(-19, 19, 8, 0)(-16, 16, -8, 0)(-9, 1, 7, -7)(-9, 8, -7, 7)(-9, 9, -8, 0)(-9, 9, -8, 7)(-9, 9, -1, -7)(-9, 9, -1, 0)(-8, -19, 19, 8)(-8, -19, 27, 0)(-8, 7, -7, 8)(-8, 7, 1, 0)(-8, 9, -9, 8)(-8, 9, -1, 0)(-8, 16, -16, 8)(-7, -1, 9, -9)(-7, 7, -8, 0)(-7, 7, -8, 9)(-7, 7, 1, -9)(-7, 7, 1, 0)(-7, 8, -9, 9)(-2, 2, -1, 0)(-1, -26, 26, 1)(-1, -26, 27, 0)(-1, -7, 7, 1)(-1, -7, 8, 0)(-1, 2, -2, 1)(-1, 9, -9, 1)(-1, 9, -8, 0)(-1, 28, -28, 1)(-1, 28, -27, 0)(0, -27, 19, -19)(0, -27, 19, 8)(0, -27, 26, -26)(0, -27, 26, 1)(0, -27, 28, -28)(0, -27, 28, -1)(0, -8, -19, 19)(0, -8, -19, 27)(0, -8, 7, -7)(0, -8, 7, 1)(0, -8, 9, -9)(0, -8, 9, -1)(0, -8, 16, -16)(0, -1, -26, 26)(0, -1, -26, 27)(0, -1, -7, 7)(0, -1, -7, 8)(0, -1, 2, -2)(0, -1, 9, -9)(0, -1, 9, -8)(0, -1, 28, -28)(0, -1, 28, -27)(0, 1, -28, 27)(0, 1, -28, 28)(0, 1, -9, 8)(0, 1, -9, 9)(0, 1, -2, 2)(0, 1, 7, -8)(0, 1, 7, -7)(0, 1, 26, -27)(0, 1, 26, -26)(0, 8, -16, 16)(0, 8, -9, 1)(0, 8, -9, 9)(0, 8, -7, -1)(0, 8, -7, 7)(0, 8, 19, -27)(0, 8, 19, -19)(0, 27, -28, 1)(0, 27, -28, 28)(0, 27, -26, -1)(0, 27, -26, 26)(0, 27, -19, -8)(0, 27, -19, 19)(1, -28, 27, 0)(1, -28, 28, -1)(1, -9, 8, 0)(1, -9, 9, -1)(1, -2, 2, -1)(1, 7, -8, 0)(1, 7, -7, -1)(1, 26, -27, 0)(1, 26, -26, -1)(2, -2, 1, 0)(7, -8, 9, -9)(7, -7, -1, 0)(7, -7, -1, 9)(7, -7, 8, -9)(7, -7, 8, 0)(7, 1, -9, 9)(8, -16, 16, -8)(8, -9, 1, 0)(8, -9, 9, -8)(8, -7, -1, 0)(8, -7, 7, -8)(8, 19, -27, 0)(8, 19, -19, -8)(9, -9, 1, 0)(9, -9, 1, 7)(9, -9, 8, -7)(9, -9, 8, 0)(9, -8, 7, -7)(9, -1, -7, 7)(16, -16, 8, 0)(19, -19, -8, 0)(19, -19, 27, 0)

! (-28, 1, 26, -26)
(-28, 27, -26, 26)
(-28, 28, -27, 0)
(-28, 28, -27, 26)
(-28, 28, -1, -26)
(-28, 28, -1, 0)
(-27, 19, -19, 27)
(-27, 19, 8, 0)
(-27, 26, -26, 27)
(-27, 26, 1, 0)
(-27, 28, -28, 27)
(-27, 28, -1, 0)
(-26, -1, 28, -28)
(-26, 26, -27, 0)
(-26, 26, -27, 28)
(-26, 26, 1, -28)
(-26, 26, 1, 0)
(-26, 27, -28, 28)
(-19, 19, -27, 0)
(-19, 19, 8, 0)
(-16, 16, -8, 0)
(-9, 1, 7, -7)
(-9, 8, -7, 7)
(-9, 9, -8, 0)
(-9, 9, -8, 7)
(-9, 9, -1, -7)
(-9, 9, -1, 0)
(-8, -19, 19, 8)
(-8, -19, 27, 0)
(-8, 7, -7, 8)
(-8, 7, 1, 0)
(-8, 9, -9, 8)
(-8, 9, -1, 0)
(-8, 16, -16, 8)
(-7, -1, 9, -9)
(-7, 7, -8, 0)
(-7, 7, -8, 9)
(-7, 7, 1, -9)
(-7, 7, 1, 0)
(-7, 8, -9, 9)
(-2, 2, -1, 0)
(-1, -26, 26, 1)
(-1, -26, 27, 0)
(-1, -7, 7, 1)
(-1, -7, 8, 0)
(-1, 2, -2, 1)
(-1, 9, -9, 1)
(-1, 9, -8, 0)
(-1, 28, -28, 1)
(-1, 28, -27, 0)
(0, -27, 19, -19)
(0, -27, 19, 8)
(0, -27, 26, -26)
(0, -27, 26, 1)
(0, -27, 28, -28)
(0, -27, 28, -1)
(0, -8, -19, 19)
(0, -8, -19, 27)
(0, -8, 7, -7)
(0, -8, 7, 1)
(0, -8, 9, -9)
(0, -8, 9, -1)
(0, -8, 16, -16)
(0, -1, -26, 26)
(0, -1, -26, 27)
(0, -1, -7, 7)
(0, -1, -7, 8)
(0, -1, 2, -2)
(0, -1, 9, -9)
(0, -1, 9, -8)
(0, -1, 28, -28)
(0, -1, 28, -27)
(0, 1, -28, 27)
(0, 1, -28, 28)
(0, 1, -9, 8)
(0, 1, -9, 9)
(0, 1, -2, 2)
(0, 1, 7, -8)
(0, 1, 7, -7)
(0, 1, 26, -27)
(0, 1, 26, -26)
(0, 8, -16, 16)
(0, 8, -9, 1)
(0, 8, -9, 9)
(0, 8, -7, -1)
(0, 8, -7, 7)
(0, 8, 19, -27)
(0, 8, 19, -19)
(0, 27, -28, 1)
(0, 27, -28, 28)
(0, 27, -26, -1)
(0, 27, -26, 26)
(0, 27, -19, -8)
(0, 27, -19, 19)
(1, -28, 27, 0)
(1, -28, 28, -1)
(1, -9, 8, 0)
(1, -9, 9, -1)
(1, -2, 2, -1)
(1, 7, -8, 0)
(1, 7, -7, -1)
(1, 26, -27, 0)
(1, 26, -26, -1)
(2, -2, 1, 0)
(7, -8, 9, -9)
(7, -7, -1, 0)
(7, -7, -1, 9)
(7, -7, 8, -9)
(7, -7, 8, 0)
(7, 1, -9, 9)
(8, -16, 16, -8)
(8, -9, 1, 0)
(8, -9, 9, -8)
(8, -7, -1, 0)
(8, -7, 7, -8)
(8, 19, -27, 0)
(8, 19, -19, -8)
(9, -9, 1, 0)
(9, -9, 1, 7)
(9, -9, 8, -7)
(9, -9, 8, 0)
(9, -8, 7, -7)
(9, -1, -7, 7)
(16, -16, 8, 0)
(19, -19, -8, 0)
(19, -19, 27, 0)

added spoiler

Source Link

edited Jun 13, 2016 at 15:56

JMP

35.5k
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(-28, 1, 26, -26) (-28, 27, -26, 26) (-28, 28, -27, 0) (-28, 28, -27, 26) (-28, 28, -1, -26) (-28, 28, -1, 0) (-27, 19, -19, 27) (-27, 19, 8, 0) (-27, 26, -26, 27) (-27, 26, 1, 0) (-27, 28, -28, 27) (-27, 28, -1, 0) (-26, -1, 28, -28) (-26, 26, -27, 0) (-26, 26, -27, 28) (-26, 26, 1, -28) (-26, 26, 1, 0) (-26, 27, -28, 28) (-19, 19, -27, 0) (-19, 19, 8, 0) (-16, 16, -8, 0) (-9, 1, 7, -7) (-9, 8, -7, 7) (-9, 9, -8, 0) (-9, 9, -8, 7) (-9, 9, -1, -7) (-9, 9, -1, 0) (-8, -19, 19, 8) (-8, -19, 27, 0) (-8, 7, -7, 8) (-8, 7, 1, 0) (-8, 9, -9, 8) (-8, 9, -1, 0) (-8, 16, -16, 8) (-7, -1, 9, -9) (-7, 7, -8, 0) (-7, 7, -8, 9) (-7, 7, 1, -9) (-7, 7, 1, 0) (-7, 8, -9, 9) (-2, 2, -1, 0) (-1, -26, 26, 1) (-1, -26, 27, 0) (-1, -7, 7, 1) (-1, -7, 8, 0) (-1, 2, -2, 1) (-1, 9, -9, 1) (-1, 9, -8, 0) (-1, 28, -28, 1) (-1, 28, -27, 0) (0, -27, 19, -19) (0, -27, 19, 8) (0, -27, 26, -26) (0, -27, 26, 1) (0, -27, 28, -28) (0, -27, 28, -1) (0, -8, -19, 19) (0, -8, -19, 27) (0, -8, 7, -7) (0, -8, 7, 1) (0, -8, 9, -9) (0, -8, 9, -1) (0, -8, 16, -16) (0, -1, -26, 26) (0, -1, -26, 27) (0, -1, -7, 7) (0, -1, -7, 8) (0, -1, 2, -2) (0, -1, 9, -9) (0, -1, 9, -8) (0, -1, 28, -28) (0, -1, 28, -27) (0, 1, -28, 27) (0, 1, -28, 28) (0, 1, -9, 8) (0, 1, -9, 9) (0, 1, -2, 2) (0, 1, 7, -8) (0, 1, 7, -7) (0, 1, 26, -27) (0, 1, 26, -26) (0, 8, -16, 16) (0, 8, -9, 1) (0, 8, -9, 9) (0, 8, -7, -1) (0, 8, -7, 7) (0, 8, 19, -27) (0, 8, 19, -19) (0, 27, -28, 1) (0, 27, -28, 28) (0, 27, -26, -1) (0, 27, -26, 26) (0, 27, -19, -8) (0, 27, -19, 19) (1, -28, 27, 0) (1, -28, 28, -1) (1, -9, 8, 0) (1, -9, 9, -1) (1, -2, 2, -1) (1, 7, -8, 0) (1, 7, -7, -1) (1, 26, -27, 0) (1, 26, -26, -1) (2, -2, 1, 0) (7, -8, 9, -9) (7, -7, -1, 0) (7, -7, -1, 9) (7, -7, 8, -9) (7, -7, 8, 0) (7, 1, -9, 9) (8, -16, 16, -8) (8, -9, 1, 0) (8, -9, 9, -8) (8, -7, -1, 0) (8, -7, 7, -8) (8, 19, -27, 0) (8, 19, -19, -8) (9, -9, 1, 0) (9, -9, 1, 7) (9, -9, 8, -7) (9, -9, 8, 0) (9, -8, 7, -7) (9, -1, -7, 7) (16, -16, 8, 0) (19, -19, -8, 0) (19, -19, 27, 0)

(-28, 1, 26, -26)(-28, 27, -26, 26)(-28, 28, -27, 0)(-28, 28, -27, 26)(-28, 28, -1, -26)(-28, 28, -1, 0)(-27, 19, -19, 27)(-27, 19, 8, 0)(-27, 26, -26, 27)(-27, 26, 1, 0)(-27, 28, -28, 27)(-27, 28, -1, 0)(-26, -1, 28, -28)(-26, 26, -27, 0)(-26, 26, -27, 28)(-26, 26, 1, -28)(-26, 26, 1, 0)(-26, 27, -28, 28)(-19, 19, -27, 0)(-19, 19, 8, 0)(-16, 16, -8, 0)(-9, 1, 7, -7)(-9, 8, -7, 7)(-9, 9, -8, 0)(-9, 9, -8, 7)(-9, 9, -1, -7)(-9, 9, -1, 0)(-8, -19, 19, 8)(-8, -19, 27, 0)(-8, 7, -7, 8)(-8, 7, 1, 0)(-8, 9, -9, 8)(-8, 9, -1, 0)(-8, 16, -16, 8)(-7, -1, 9, -9)(-7, 7, -8, 0)(-7, 7, -8, 9)(-7, 7, 1, -9)(-7, 7, 1, 0)(-7, 8, -9, 9)(-2, 2, -1, 0)(-1, -26, 26, 1)(-1, -26, 27, 0)(-1, -7, 7, 1)(-1, -7, 8, 0)(-1, 2, -2, 1)(-1, 9, -9, 1)(-1, 9, -8, 0)(-1, 28, -28, 1)(-1, 28, -27, 0)(0, -27, 19, -19)(0, -27, 19, 8)(0, -27, 26, -26)(0, -27, 26, 1)(0, -27, 28, -28)(0, -27, 28, -1)(0, -8, -19, 19)(0, -8, -19, 27)(0, -8, 7, -7)(0, -8, 7, 1)(0, -8, 9, -9)(0, -8, 9, -1)(0, -8, 16, -16)(0, -1, -26, 26)(0, -1, -26, 27)(0, -1, -7, 7)(0, -1, -7, 8)(0, -1, 2, -2)(0, -1, 9, -9)(0, -1, 9, -8)(0, -1, 28, -28)(0, -1, 28, -27)(0, 1, -28, 27)(0, 1, -28, 28)(0, 1, -9, 8)(0, 1, -9, 9)(0, 1, -2, 2)(0, 1, 7, -8)(0, 1, 7, -7)(0, 1, 26, -27)(0, 1, 26, -26)(0, 8, -16, 16)(0, 8, -9, 1)(0, 8, -9, 9)(0, 8, -7, -1)(0, 8, -7, 7)(0, 8, 19, -27)(0, 8, 19, -19)(0, 27, -28, 1)(0, 27, -28, 28)(0, 27, -26, -1)(0, 27, -26, 26)(0, 27, -19, -8)(0, 27, -19, 19)(1, -28, 27, 0)(1, -28, 28, -1)(1, -9, 8, 0)(1, -9, 9, -1)(1, -2, 2, -1)(1, 7, -8, 0)(1, 7, -7, -1)(1, 26, -27, 0)(1, 26, -26, -1)(2, -2, 1, 0)(7, -8, 9, -9)(7, -7, -1, 0)(7, -7, -1, 9)(7, -7, 8, -9)(7, -7, 8, 0)(7, 1, -9, 9)(8, -16, 16, -8)(8, -9, 1, 0)(8, -9, 9, -8)(8, -7, -1, 0)(8, -7, 7, -8)(8, 19, -27, 0)(8, 19, -19, -8)(9, -9, 1, 0)(9, -9, 1, 7)(9, -9, 8, -7)(9, -9, 8, 0)(9, -8, 7, -7)(9, -1, -7, 7)(16, -16, 8, 0)(19, -19, -8, 0)(19, -19, 27, 0)

(-28, 1, 26, -26) (-28, 27, -26, 26) (-28, 28, -27, 0) (-28, 28, -27, 26) (-28, 28, -1, -26) (-28, 28, -1, 0) (-27, 19, -19, 27) (-27, 19, 8, 0) (-27, 26, -26, 27) (-27, 26, 1, 0) (-27, 28, -28, 27) (-27, 28, -1, 0) (-26, -1, 28, -28) (-26, 26, -27, 0) (-26, 26, -27, 28) (-26, 26, 1, -28) (-26, 26, 1, 0) (-26, 27, -28, 28) (-19, 19, -27, 0) (-19, 19, 8, 0) (-16, 16, -8, 0) (-9, 1, 7, -7) (-9, 8, -7, 7) (-9, 9, -8, 0) (-9, 9, -8, 7) (-9, 9, -1, -7) (-9, 9, -1, 0) (-8, -19, 19, 8) (-8, -19, 27, 0) (-8, 7, -7, 8) (-8, 7, 1, 0) (-8, 9, -9, 8) (-8, 9, -1, 0) (-8, 16, -16, 8) (-7, -1, 9, -9) (-7, 7, -8, 0) (-7, 7, -8, 9) (-7, 7, 1, -9) (-7, 7, 1, 0) (-7, 8, -9, 9) (-2, 2, -1, 0) (-1, -26, 26, 1) (-1, -26, 27, 0) (-1, -7, 7, 1) (-1, -7, 8, 0) (-1, 2, -2, 1) (-1, 9, -9, 1) (-1, 9, -8, 0) (-1, 28, -28, 1) (-1, 28, -27, 0) (0, -27, 19, -19) (0, -27, 19, 8) (0, -27, 26, -26) (0, -27, 26, 1) (0, -27, 28, -28) (0, -27, 28, -1) (0, -8, -19, 19) (0, -8, -19, 27) (0, -8, 7, -7) (0, -8, 7, 1) (0, -8, 9, -9) (0, -8, 9, -1) (0, -8, 16, -16) (0, -1, -26, 26) (0, -1, -26, 27) (0, -1, -7, 7) (0, -1, -7, 8) (0, -1, 2, -2) (0, -1, 9, -9) (0, -1, 9, -8) (0, -1, 28, -28) (0, -1, 28, -27) (0, 1, -28, 27) (0, 1, -28, 28) (0, 1, -9, 8) (0, 1, -9, 9) (0, 1, -2, 2) (0, 1, 7, -8) (0, 1, 7, -7) (0, 1, 26, -27) (0, 1, 26, -26) (0, 8, -16, 16) (0, 8, -9, 1) (0, 8, -9, 9) (0, 8, -7, -1) (0, 8, -7, 7) (0, 8, 19, -27) (0, 8, 19, -19) (0, 27, -28, 1) (0, 27, -28, 28) (0, 27, -26, -1) (0, 27, -26, 26) (0, 27, -19, -8) (0, 27, -19, 19) (1, -28, 27, 0) (1, -28, 28, -1) (1, -9, 8, 0) (1, -9, 9, -1) (1, -2, 2, -1) (1, 7, -8, 0) (1, 7, -7, -1) (1, 26, -27, 0) (1, 26, -26, -1) (2, -2, 1, 0) (7, -8, 9, -9) (7, -7, -1, 0) (7, -7, -1, 9) (7, -7, 8, -9) (7, -7, 8, 0) (7, 1, -9, 9) (8, -16, 16, -8) (8, -9, 1, 0) (8, -9, 9, -8) (8, -7, -1, 0) (8, -7, 7, -8) (8, 19, -27, 0) (8, 19, -19, -8) (9, -9, 1, 0) (9, -9, 1, 7) (9, -9, 8, -7) (9, -9, 8, 0) (9, -8, 7, -7) (9, -1, -7, 7) (16, -16, 8, 0) (19, -19, -8, 0) (19, -19, 27, 0)

(-28, 1, 26, -26)(-28, 27, -26, 26)(-28, 28, -27, 0)(-28, 28, -27, 26)(-28, 28, -1, -26)(-28, 28, -1, 0)(-27, 19, -19, 27)(-27, 19, 8, 0)(-27, 26, -26, 27)(-27, 26, 1, 0)(-27, 28, -28, 27)(-27, 28, -1, 0)(-26, -1, 28, -28)(-26, 26, -27, 0)(-26, 26, -27, 28)(-26, 26, 1, -28)(-26, 26, 1, 0)(-26, 27, -28, 28)(-19, 19, -27, 0)(-19, 19, 8, 0)(-16, 16, -8, 0)(-9, 1, 7, -7)(-9, 8, -7, 7)(-9, 9, -8, 0)(-9, 9, -8, 7)(-9, 9, -1, -7)(-9, 9, -1, 0)(-8, -19, 19, 8)(-8, -19, 27, 0)(-8, 7, -7, 8)(-8, 7, 1, 0)(-8, 9, -9, 8)(-8, 9, -1, 0)(-8, 16, -16, 8)(-7, -1, 9, -9)(-7, 7, -8, 0)(-7, 7, -8, 9)(-7, 7, 1, -9)(-7, 7, 1, 0)(-7, 8, -9, 9)(-2, 2, -1, 0)(-1, -26, 26, 1)(-1, -26, 27, 0)(-1, -7, 7, 1)(-1, -7, 8, 0)(-1, 2, -2, 1)(-1, 9, -9, 1)(-1, 9, -8, 0)(-1, 28, -28, 1)(-1, 28, -27, 0)(0, -27, 19, -19)(0, -27, 19, 8)(0, -27, 26, -26)(0, -27, 26, 1)(0, -27, 28, -28)(0, -27, 28, -1)(0, -8, -19, 19)(0, -8, -19, 27)(0, -8, 7, -7)(0, -8, 7, 1)(0, -8, 9, -9)(0, -8, 9, -1)(0, -8, 16, -16)(0, -1, -26, 26)(0, -1, -26, 27)(0, -1, -7, 7)(0, -1, -7, 8)(0, -1, 2, -2)(0, -1, 9, -9)(0, -1, 9, -8)(0, -1, 28, -28)(0, -1, 28, -27)(0, 1, -28, 27)(0, 1, -28, 28)(0, 1, -9, 8)(0, 1, -9, 9)(0, 1, -2, 2)(0, 1, 7, -8)(0, 1, 7, -7)(0, 1, 26, -27)(0, 1, 26, -26)(0, 8, -16, 16)(0, 8, -9, 1)(0, 8, -9, 9)(0, 8, -7, -1)(0, 8, -7, 7)(0, 8, 19, -27)(0, 8, 19, -19)(0, 27, -28, 1)(0, 27, -28, 28)(0, 27, -26, -1)(0, 27, -26, 26)(0, 27, -19, -8)(0, 27, -19, 19)(1, -28, 27, 0)(1, -28, 28, -1)(1, -9, 8, 0)(1, -9, 9, -1)(1, -2, 2, -1)(1, 7, -8, 0)(1, 7, -7, -1)(1, 26, -27, 0)(1, 26, -26, -1)(2, -2, 1, 0)(7, -8, 9, -9)(7, -7, -1, 0)(7, -7, -1, 9)(7, -7, 8, -9)(7, -7, 8, 0)(7, 1, -9, 9)(8, -16, 16, -8)(8, -9, 1, 0)(8, -9, 9, -8)(8, -7, -1, 0)(8, -7, 7, -8)(8, 19, -27, 0)(8, 19, -19, -8)(9, -9, 1, 0)(9, -9, 1, 7)(9, -9, 8, -7)(9, -9, 8, 0)(9, -8, 7, -7)(9, -1, -7, 7)(16, -16, 8, 0)(19, -19, -8, 0)(19, -19, 27, 0)

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created Jun 13, 2016 at 15:35

Stephen Lujan

111
2

A quick python script spit out every answer where a, b, c, and d were integers between -30 and 30 inclusive. I didn't filter out any answers that were just reordered versions of other answers though:

(-28, 1, 26, -26) (-28, 27, -26, 26) (-28, 28, -27, 0) (-28, 28, -27, 26) (-28, 28, -1, -26) (-28, 28, -1, 0) (-27, 19, -19, 27) (-27, 19, 8, 0) (-27, 26, -26, 27) (-27, 26, 1, 0) (-27, 28, -28, 27) (-27, 28, -1, 0) (-26, -1, 28, -28) (-26, 26, -27, 0) (-26, 26, -27, 28) (-26, 26, 1, -28) (-26, 26, 1, 0) (-26, 27, -28, 28) (-19, 19, -27, 0) (-19, 19, 8, 0) (-16, 16, -8, 0) (-9, 1, 7, -7) (-9, 8, -7, 7) (-9, 9, -8, 0) (-9, 9, -8, 7) (-9, 9, -1, -7) (-9, 9, -1, 0) (-8, -19, 19, 8) (-8, -19, 27, 0) (-8, 7, -7, 8) (-8, 7, 1, 0) (-8, 9, -9, 8) (-8, 9, -1, 0) (-8, 16, -16, 8) (-7, -1, 9, -9) (-7, 7, -8, 0) (-7, 7, -8, 9) (-7, 7, 1, -9) (-7, 7, 1, 0) (-7, 8, -9, 9) (-2, 2, -1, 0) (-1, -26, 26, 1) (-1, -26, 27, 0) (-1, -7, 7, 1) (-1, -7, 8, 0) (-1, 2, -2, 1) (-1, 9, -9, 1) (-1, 9, -8, 0) (-1, 28, -28, 1) (-1, 28, -27, 0) (0, -27, 19, -19) (0, -27, 19, 8) (0, -27, 26, -26) (0, -27, 26, 1) (0, -27, 28, -28) (0, -27, 28, -1) (0, -8, -19, 19) (0, -8, -19, 27) (0, -8, 7, -7) (0, -8, 7, 1) (0, -8, 9, -9) (0, -8, 9, -1) (0, -8, 16, -16) (0, -1, -26, 26) (0, -1, -26, 27) (0, -1, -7, 7) (0, -1, -7, 8) (0, -1, 2, -2) (0, -1, 9, -9) (0, -1, 9, -8) (0, -1, 28, -28) (0, -1, 28, -27) (0, 1, -28, 27) (0, 1, -28, 28) (0, 1, -9, 8) (0, 1, -9, 9) (0, 1, -2, 2) (0, 1, 7, -8) (0, 1, 7, -7) (0, 1, 26, -27) (0, 1, 26, -26) (0, 8, -16, 16) (0, 8, -9, 1) (0, 8, -9, 9) (0, 8, -7, -1) (0, 8, -7, 7) (0, 8, 19, -27) (0, 8, 19, -19) (0, 27, -28, 1) (0, 27, -28, 28) (0, 27, -26, -1) (0, 27, -26, 26) (0, 27, -19, -8) (0, 27, -19, 19) (1, -28, 27, 0) (1, -28, 28, -1) (1, -9, 8, 0) (1, -9, 9, -1) (1, -2, 2, -1) (1, 7, -8, 0) (1, 7, -7, -1) (1, 26, -27, 0) (1, 26, -26, -1) (2, -2, 1, 0) (7, -8, 9, -9) (7, -7, -1, 0) (7, -7, -1, 9) (7, -7, 8, -9) (7, -7, 8, 0) (7, 1, -9, 9) (8, -16, 16, -8) (8, -9, 1, 0) (8, -9, 9, -8) (8, -7, -1, 0) (8, -7, 7, -8) (8, 19, -27, 0) (8, 19, -19, -8) (9, -9, 1, 0) (9, -9, 1, 7) (9, -9, 8, -7) (9, -9, 8, 0) (9, -8, 7, -7) (9, -1, -7, 7) (16, -16, 8, 0) (19, -19, -8, 0) (19, -19, 27, 0)

Here's the script: http://pastebin.com/7nQjrxKM

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