a   b   i  x                   y                    fa fb fc
pan pan 1  0.3467901443380824  0.7268028627434533   0  1  1
eks pan 2  0.7586799647899636  -0.5221511083334797  1  1  2
wye wye 3  0.20460330576630303 0.33831852551664776  1  2  3
eks wye 4  0.38139939387114097 -0.13418874328430463 2  3  5
wye pan 5  0.5732889198020006  0.8636244699032729   3  5  8
zee pan 6  0.5271261600918548  -0.49322128674835697 5  8  13
eks zee 7  0.6117840605678454  0.1878849191181694   8  13 21
zee wye 8  0.5985540091064224  0.976181385699006    13 21 34
hat wye 9  0.03144187646093577 -0.7495507603507059  21 34 55
pan wye 10 0.5026260055412137  0.9526183602969864   34 55 89
