HYACINTHOS 29312

[Antreas P. Hatzipolakis]:

 

Let ABC be a triangle.

Denote:

Na, Nb, Nc = the NPC centers of NBC, NCA, NAB, resp.

N1, N2, N3 = the orthogonal projections of Na, Nb, Nc on BC, CA, AB, resp.

A', B', C' = the orthogonal projections of N on NaN1, NbN2, NcN3, resp.
The radical center of the circles
(A', A'N1)
(B', B'N2)
(C', C'N3)
lies on the Euler line of ABC.

Point?  

[Peter Moses]:

Hi Antreas,

10 a^4-9 a^2 b^2-b^4-9 a^2 c^2+2 b^2 c^2-c^4 : :

= 3 X[2] - 11 X[3],27 X[2] - 11 X[4],15 X[2] - 11 X[5],21 X[2] + 11 X[20],9 X[2] - 11 X[140],5 X[2] + 11 X[376],19 X[2] - 11 X[381],51 X[2] - 11 X[382],21 X[2] - 11 X[546],13 X[2] - 11 X[547],3 X[2] + 11 X[548],7 X[2] - 11 X[549],9 X[2] + 11 X[550],39 X[2] - 55 X[631],51 X[2] - 55 X[632],63 X[2] - 55 X[1656],45 X[2] + 11 X[1657],93 X[2] - 77 X[3090],87 X[2] - 55 X[3091],75 X[2] - 11 X[3146],9 X[2] + 55 X[3522],45 X[2] - 77 X[3523],17 X[2] - 33 X[3524],105 X[2] - 121 X[3525],69 X[2] - 77 X[3526],3 X[2] + 77 X[3528],69 X[2] + 11 X[3529],6 X[2] - 11 X[3530],171 X[2] - 187 X[3533],13 X[2] + 11 X[3534],43 X[2] - 11 X[3543],49 X[2] - 33 X[3545],39 X[2] - 11 X[3627],12 X[2] - 11 X[3628],35 X[2] - 11 X[3830],141 X[2] - 77 X[3832],65 X[2] - 33 X[3839],111 X[2] - 55 X[3843],23 X[2] - 11 X[3845],18 X[2] - 11 X[3850],117 X[2] - 77 X[3851],315 X[2] - 187 X[3854],201 X[2] - 121 X[3855],39 X[2] - 22 X[3856],129 X[2] - 77 X[3857],9 X[2] - 5 X[3858],93 X[2] - 55 X[3859],20 X[2] - 11 X[3860],24 X[2] - 11 X[3861],25 X[2] - 33 X[5054],41 X[2] - 33 X[5055],153 X[2] - 121 X[5056],117 X[2] + 11 X[5059],17 X[2] - 11 X[5066],159 X[2] - 143 X[5067],207 X[2] - 143 X[5068],129 X[2] - 121 X[5070],71 X[2] - 55 X[5071],177 X[2] - 121 X[5072],9 X[2] - X[5073],159 X[2] - 55 X[5076],183 X[2] - 143 X[5079],9 X[3] - X[4],5 X[3] - X[5],7 X[3] + X[20],3 X[3] - X[140],5 X[3] + 3 X[376],19 X[3] - 3 X[381],17 X[3] - X[382],7 X[3] - X[546],13 X[3] - 3 X[547],7 X[3] - 3 X[549],3 X[3] + X[550],13 X[3] - 5 X[631],17 X[3] - 5 X[632],21 X[3] - 5 X[1656],15 X[3] + X[1657],31 X[3] - 7 X[3090],29 X[3] - 5 X[3091],25 X[3] - X[3146],3 X[3] + 5 X[3522],15 X[3] - 7 X[3523],17 X[3] - 9 X[3524],35 X[3] - 11 X[3525],23 X[3] - 7 X[3526],X[3] + 7 X[3528],23 X[3] + X[3529],57 X[3] - 17 X[3533],13 X[3] + 3 X[3534],43 X[3] - 3 X[3543],49 X[3] - 9 X[3545],13 X[3] - X[3627],4 X[3] - X[3628],35 X[3] - 3 X[3830],47 X[3] - 7 X[3832],65 X[3] - 9 X[3839],37 X[3] - 5 X[3843],23 X[3] - 3 X[3845],6 X[3] - X[3850],39 X[3] - 7 X[3851],11 X[3] - X[3853],105 X[3] - 17 X[3854],67 X[3] - 11 X[3855],13 X[3] - 2 X[3856],43 X[3] - 7 X[3857],33 X[3] - 5 X[3858],31 X[3] - 5 X[3859],20 X[3] - 3 X[3860],8 X[3] - X[3861],25 X[3] - 9 X[5054],41 X[3] - 9 X[5055],51 X[3] - 11 X[5056],39 X[3] + X[5059],17 X[3] - 3 X[5066],53 X[3] - 13 X[5067],69 X[3] - 13 X[5068],43 X[3] - 11 X[5070],71 X[3] - 15 X[5071],59 X[3] - 11 X[5072],33 X[3] - X[5073],53 X[3] - 5 X[5076],61 X[3] - 13 X[5079],5 X[4] - 9 X[5],7 X[4] + 9 X[20],X[4] - 3 X[140],5 X[4] + 27 X[376],19 X[4] - 27 X[381],17 X[4] - 9 X[382],7 X[4] - 9 X[546],13 X[4] - 27 X[547],X[4] + 9 X[548],7 X[4] - 27 X[549],X[4] + 3 X[550],13 X[4] - 45 X[631],17 X[4] - 45 X[632],7 X[4] - 15 X[1656],5 X[4] + 3 X[1657],31 X[4] - 63 X[3090],29 X[4] - 45 X[3091],25 X[4] - 9 X[3146],X[4] + 15 X[3522],5 X[4] - 21 X[3523],17 X[4] - 81 X[3524],35 X[4] - 99 X[3525],23 X[4] - 63 X[3526],X[4] + 63 X[3528],23 X[4] + 9 X[3529],2 X[4] - 9 X[3530],19 X[4] - 51 X[3533],13 X[4] + 27 X[3534],43 X[4] - 27 X[3543],49 X[4] - 81 X[3545],13 X[4] - 9 X[3627],4 X[4] - 9 X[3628],35 X[4] - 27 X[3830],47 X[4] - 63 X[3832],65 X[4] - 81 X[3839],37 X[4] - 45 X[3843],23 X[4] - 27 X[3845],2 X[4] - 3 X[3850],13 X[4] - 21 X[3851],11 X[4] - 9 X[3853],35 X[4] - 51 X[3854],67 X[4] - 99 X[3855],13 X[4] - 18 X[3856],43 X[4] - 63 X[3857],11 X[4] - 15 X[3858],31 X[4] - 45 X[3859],20 X[4] - 27 X[3860],8 X[4] - 9 X[3861],25 X[4] - 81 X[5054],41 X[4] - 81 X[5055],17 X[4] - 33 X[5056],13 X[4] + 3 X[5059],17 X[4] - 27 X[5066],53 X[4] - 117 X[5067],23 X[4] - 39 X[5068],43 X[4] - 99 X[5070],71 X[4] - 135 X[5071],59 X[4] - 99 X[5072],11 X[4] - 3 X[5073],53 X[4] - 45 X[5076],61 X[4] - 117 X[5079],7 X[5] + 5 X[20],3 X[5] - 5 X[140],X[5] + 3 X[376],19 X[5] - 15 X[381],17 X[5] - 5 X[382],7 X[5] - 5 X[546],13 X[5] - 15 X[547],X[5] + 5 X[548],7 X[5] - 15 X[549],3 X[5] + 5 X[550],13 X[5] - 25 X[631],17 X[5] - 25 X[632],21 X[5] - 25 X[1656],3 X[5] + X[1657],31 X[5] - 35 X[3090],29 X[5] - 25 X[3091],5 X[5] - X[3146],3 X[5] + 25 X[3522],3 X[5] - 7 X[3523],17 X[5] - 45 X[3524],7 X[5] - 11 X[3525],23 X[5] - 35 X[3526],X[5] + 35 X[3528],23 X[5] + 5 X[3529],2 X[5] - 5 X[3530],57 X[5] - 85 X[3533],13 X[5] + 15 X[3534],43 X[5] - 15 X[3543],49 X[5] - 45 X[3545],13 X[5] - 5 X[3627],4 X[5] - 5 X[3628],7 X[5] - 3 X[3830],47 X[5] - 35 X[3832],13 X[5] - 9 X[3839],37 X[5] - 25 X[3843],23 X[5] - 15 X[3845],6 X[5] - 5 X[3850],39 X[5] - 35 X[3851],11 X[5] - 5 X[3853],21 X[5] - 17 X[3854],67 X[5] - 55 X[3855],13 X[5] - 10 X[3856],43 X[5] - 35 X[3857],33 X[5] - 25 X[3858],31 X[5] - 25 X[3859],4 X[5] - 3 X[3860],8 X[5] - 5 X[3861],5 X[5] - 9 X[5054],41 X[5] - 45 X[5055],51 X[5] - 55 X[5056],39 X[5] + 5 X[5059],17 X[5] - 15 X[5066],53 X[5] - 65 X[5067],69 X[5] - 65 X[5068],43 X[5] - 55 X[5070],71 X[5] - 75 X[5071],59 X[5] - 55 X[5072],33 X[5] - 5 X[5073],53 X[5] - 25 X[5076],61 X[5] - 65 X[5079],3 X[20] + 7 X[140],5 X[20] - 21 X[376],19 X[20] + 21 X[381],17 X[20] + 7 X[382],13 X[20] + 21 X[547],X[20] - 7 X[548],X[20] + 3 X[549],3 X[20] - 7 X[550],13 X[20] + 35 X[631],17 X[20] + 35 X[632],3 X[20] + 5 X[1656],15 X[20] - 7 X[1657],31 X[20] + 49 X[3090],29 X[20] + 35 X[3091],25 X[20] + 7 X[3146],3 X[20] - 35 X[3522],15 X[20] + 49 X[3523],17 X[20] + 63 X[3524],5 X[20] + 11 X[3525],23 X[20] + 49 X[3526],X[20] - 49 X[3528],23 X[20] - 7 X[3529],2 X[20] + 7 X[3530],57 X[20] + 119 X[3533],13 X[20] - 21 X[3534],43 X[20] + 21 X[3543],7 X[20] + 9 X[3545],13 X[20] + 7 X[3627],4 X[20] + 7 X[3628],5 X[20] + 3 X[3830],47 X[20] + 49 X[3832],65 X[20] + 63 X[3839],37 X[20] + 35 X[3843],23 X[20] + 21 X[3845],6 X[20] + 7 X[3850],39 X[20] + 49 X[3851],11 X[20] + 7 X[3853],15 X[20] + 17 X[3854],67 X[20] + 77 X[3855],13 X[20] + 14 X[3856],43 X[20] + 49 X[3857],33 X[20] + 35 X[3858],31 X[20] + 35 X[3859],20 X[20] + 21 X[3860],8 X[20] + 7 X[3861],25 X[20] + 63 X[5054],41 X[20] + 63 X[5055],51 X[20] + 77 X[5056],39 X[20] - 7 X[5059],17 X[20] + 21 X[5066],53 X[20] + 91 X[5067],69 X[20] + 91 X[5068],43 X[20] + 77 X[5070],71 X[20] + 105 X[5071],59 X[20] + 77 X[5072],33 X[20] + 7 X[5073],53 X[20] + 35 X[5076],61 X[20] + 91 X[5079],5 X[140] + 9 X[376],19 X[140] - 9 X[381],17 X[140] - 3 X[382],7 X[140] - 3 X[546],13 X[140] - 9 X[547],X[140] + 3 X[548],7 X[140] - 9 X[549],13 X[140] - 15 X[631],17 X[140] - 15 X[632],7 X[140] - 5 X[1656],5 X[140] + X[1657],31 X[140] - 21 X[3090],29 X[140] - 15 X[3091],25 X[140] - 3 X[3146],X[140] + 5 X[3522],5 X[140] - 7 X[3523],17 X[140] - 27 X[3524],35 X[140] - 33 X[3525],23 X[140] - 21 X[3526],X[140] + 21 X[3528],23 X[140] + 3 X[3529],2 X[140] - 3 X[3530],19 X[140] - 17 X[3533],13 X[140] + 9 X[3534],43 X[140] - 9 X[3543],49 X[140] - 27 X[3545],13 X[140] - 3 X[3627],4 X[140] - 3 X[3628],35 X[140] - 9 X[3830],47 X[140] - 21 X[3832],65 X[140] - 27 X[3839],37 X[140] - 15 X[3843],23 X[140] - 9 X[3845],13 X[140] - 7 X[3851],11 X[140] - 3 X[3853],35 X[140] - 17 X[3854],67 X[140] - 33 X[3855],13 X[140] - 6 X[3856],43 X[140] - 21 X[3857],11 X[140] - 5 X[3858],31 X[140] - 15 X[3859],20 X[140] - 9 X[3860],8 X[140] - 3 X[3861],25 X[140] - 27 X[5054],41 X[140] - 27 X[5055],17 X[140] - 11 X[5056],13 X[140] + X[5059],17 X[140] - 9 X[5066],53 X[140] - 39 X[5067],23 X[140] - 13 X[5068],43 X[140] - 33 X[5070],71 X[140] - 45 X[5071],59 X[140] - 33 X[5072],11 X[140] - X[5073],53 X[140] - 15 X[5076],61 X[140] - 39 X[5079],X[143] - 3 X[16836],X[146] - 5 X[22251],19 X[376] + 5 X[381],51 X[376] + 5 X[382],21 X[376] + 5 X[546],13 X[376] + 5 X[547],3 X[376] - 5 X[548],7 X[376] + 5 X[549],9 X[376] - 5 X[550],39 X[376] + 25 X[631],51 X[376] + 25 X[632],63 X[376] + 25 X[1656],9 X[376] - X[1657],93 X[376] + 35 X[3090],87 X[376] + 25 X[3091],15 X[376] + X[3146],9 X[376] - 25 X[3522],9 X[376] + 7 X[3523],17 X[376] + 15 X[3524],21 X[376] + 11 X[3525],69 X[376] + 35 X[3526],3 X[376] - 35 X[3528],69 X[376] - 5 X[3529],6 X[376] + 5 X[3530],171 X[376] + 85 X[3533],13 X[376] - 5 X[3534],43 X[376] + 5 X[3543],49 X[376] + 15 X[3545],39 X[376] + 5 X[3627],12 X[376] + 5 X[3628],7 X[376] + X[3830],141 X[376] + 35 X[3832],13 X[376] + 3 X[3839],111 X[376] + 25 X[3843],23 X[376] + 5 X[3845],18 X[376] + 5 X[3850],117 X[376] + 35 X[3851],33 X[376] + 5 X[3853],63 X[376] + 17 X[3854],201 X[376] + 55 X[3855],39 X[376] + 10 X[3856],129 X[376] + 35 X[3857],99 X[376] + 25 X[3858],93 X[376] + 25 X[3859],4 X[376] + X[3860],24 X[376] + 5 X[3861],5 X[376] + 3 X[5054],41 X[376] + 15 X[5055],153 X[376] + 55 X[5056],117 X[376] - 5 X[5059],17 X[376] + 5 X[5066],159 X[376] + 65 X[5067],207 X[376] + 65 X[5068],129 X[376] + 55 X[5070],71 X[376] + 25 X[5071],177 X[376] + 55 X[5072],99 X[376] + 5 X[5073],159 X[376] + 25 X[5076],183 X[376] + 65 X[5079],51 X[381] - 19 X[382],21 X[381] - 19 X[546],13 X[381] - 19 X[547],3 X[381] + 19 X[548],7 X[381] - 19 X[549],9 X[381] + 19 X[550],39 X[381] - 95 X[631],51 X[381] - 95 X[632],63 X[381] - 95 X[1656],45 X[381] + 19 X[1657],93 X[381] - 133 X[3090],87 X[381] - 95 X[3091],75 X[381] - 19 X[3146],9 X[381] + 95 X[3522],45 X[381] - 133 X[3523],17 X[381] - 57 X[3524],105 X[381] - 209 X[3525],69 X[381] - 133 X[3526],3 X[381] + 133 X[3528],69 X[381] + 19 X[3529],6 X[381] - 19 X[3530],9 X[381] - 17 X[3533],13 X[381] + 19 X[3534],43 X[381] - 19 X[3543],49 X[381] - 57 X[3545],39 X[381] - 19 X[3627],12 X[381] - 19 X[3628],35 X[381] - 19 X[3830],141 X[381] - 133 X[3832],65 X[381] - 57 X[3839],111 X[381] - 95 X[3843],23 X[381] - 19 X[3845],18 X[381] - 19 X[3850],117 X[381] - 133 X[3851],33 X[381] - 19 X[3853],315 X[381] - 323 X[3854],201 X[381] - 209 X[3855],39 X[381] - 38 X[3856],129 X[381] - 133 X[3857],99 X[381] - 95 X[3858],93 X[381] - 95 X[3859],20 X[381] - 19 X[3860],24 X[381] - 19 X[3861],25 X[381] - 57 X[5054],41 X[381] - 57 X[5055],153 X[381] - 209 X[5056],117 X[381] + 19 X[5059],17 X[381] - 19 X[5066],159 X[381] - 247 X[5067],207 X[381] - 247 X[5068],129 X[381] - 209 X[5070],71 X[381] - 95 X[5071],177 X[381] - 209 X[5072],99 X[381] - 19 X[5073],159 X[381] - 95 X[5076],183 X[381] - 247 X[5079],7 X[382] - 17 X[546],13 X[382] - 51 X[547],X[382] + 17 X[548],7 X[382] - 51 X[549],3 X[382] + 17 X[550],13 X[382] - 85 X[631],X[382] - 5 X[632],21 X[382] - 85 X[1656],15 X[382] + 17 X[1657],31 X[382] - 119 X[3090],29 X[382] - 85 X[3091],25 X[382] - 17 X[3146],3 X[382] + 85 X[3522],15 X[382] - 119 X[3523],X[382] - 9 X[3524],35 X[382] - 187 X[3525],23 X[382] - 119 X[3526],X[382] + 119 X[3528],23 X[382] + 17 X[3529],2 X[382] - 17 X[3530],57 X[382] - 289 X[3533],13 X[382] + 51 X[3534],43 X[382] - 51 X[3543],49 X[382] - 153 X[3545],13 X[382] - 17 X[3627],4 X[382] - 17 X[3628],35 X[382] - 51 X[3830],47 X[382] - 119 X[3832],65 X[382] - 153 X[3839],37 X[382] - 85 X[3843],23 X[382] - 51 X[3845],6 X[382] - 17 X[3850],39 X[382] - 119 X[3851],11 X[382] - 17 X[3853],105 X[382] - 289 X[3854],67 X[382] - 187 X[3855],13 X[382] - 34 X[3856],43 X[382] - 119 X[3857],33 X[382] - 85 X[3858],31 X[382] - 85 X[3859],20 X[382] - 51 X[3860],8 X[382] - 17 X[3861],25 X[382] - 153 X[5054],41 X[382] - 153 X[5055],3 X[382] - 11 X[5056],39 X[382] + 17 X[5059],X[382] - 3 X[5066],53 X[382] - 221 X[5067],69 X[382] - 221 X[5068],43 X[382] - 187 X[5070],71 X[382] - 255 X[5071],59 X[382] - 187 X[5072],33 X[382] - 17 X[5073],53 X[382] - 85 X[5076],61 X[382] - 221 X[5079],3 X[389] - X[13421],13 X[546] - 21 X[547],X[546] + 7 X[548],X[546] - 3 X[549],3 X[546] + 7 X[550],13 X[546] - 35 X[631],17 X[546] - 35 X[632],3 X[546] - 5 X[1656],15 X[546] + 7 X[1657],31 X[546] - 49 X[3090],29 X[546] - 35 X[3091],25 X[546] - 7 X[3146],3 X[546] + 35 X[3522],15 X[546] - 49 X[3523],17 X[546] - 63 X[3524],5 X[546] - 11 X[3525],23 X[546] - 49 X[3526],X[546] + 49 X[3528],23 X[546] + 7 X[3529],2 X[546] - 7 X[3530],57 X[546] - 119 X[3533],13 X[546] + 21 X[3534],43 X[546] - 21 X[3543],7 X[546] - 9 X[3545],13 X[546] - 7 X[3627],4 X[546] - 7 X[3628],5 X[546] - 3 X[3830],47 X[546] - 49 X[3832],65 X[546] - 63 X[3839],37 X[546] - 35 X[3843],23 X[546] - 21 X[3845],6 X[546] - 7 X[3850],39 X[546] - 49 X[3851],11 X[546] - 7 X[3853],15 X[546] - 17 X[3854],67 X[546] - 77 X[3855],13 X[546] - 14 X[3856],43 X[546] - 49 X[3857],33 X[546] - 35 X[3858],31 X[546] - 35 X[3859],20 X[546] - 21 X[3860],8 X[546] - 7 X[3861],25 X[546] - 63 X[5054],41 X[546] - 63 X[5055],51 X[546] - 77 X[5056],39 X[546] + 7 X[5059],17 X[546] - 21 X[5066],53 X[546] - 91 X[5067],69 X[546] - 91 X[5068],43 X[546] - 77 X[5070],71 X[546] - 105 X[5071],59 X[546] - 77 X[5072],33 X[546] - 7 X[5073],53 X[546] - 35 X[5076],61 X[546] - 91 X[5079],3 X[547] + 13 X[548],7 X[547] - 13 X[549],9 X[547] + 13 X[550],3 X[547] - 5 X[631],51 X[547] - 65 X[632],63 X[547] - 65 X[1656],45 X[547] + 13 X[1657],93 X[547] - 91 X[3090],87 X[547] - 65 X[3091],75 X[547] - 13 X[3146],9 X[547] + 65 X[3522],45 X[547] - 91 X[3523],17 X[547] - 39 X[3524],105 X[547] - 143 X[3525],69 X[547] - 91 X[3526],3 X[547] + 91 X[3528],69 X[547] + 13 X[3529],6 X[547] - 13 X[3530],171 X[547] - 221 X[3533],43 X[547] - 13 X[3543],49 X[547] - 39 X[3545],3 X[547] - X[3627],12 X[547] - 13 X[3628],35 X[547] - 13 X[3830],141 X[547] - 91 X[3832],5 X[547] - 3 X[3839],111 X[547] - 65 X[3843],23 X[547] - 13 X[3845],18 X[547] - 13 X[3850],9 X[547] - 7 X[3851],33 X[547] - 13 X[3853],315 X[547] - 221 X[3854],201 X[547] - 143 X[3855],3 X[547] - 2 X[3856],129 X[547] - 91 X[3857],99 X[547] - 65 X[3858],93 X[547] - 65 X[3859],20 X[547] - 13 X[3860],24 X[547] - 13 X[3861],25 X[547] - 39 X[5054],41 X[547] - 39 X[5055],153 X[547] - 143 X[5056],9 X[547] + X[5059],17 X[547] - 13 X[5066],159 X[547] - 169 X[5067],207 X[547] - 169 X[5068],129 X[547] - 143 X[5070],71 X[547] - 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9 X[3830],235 X[1656] - 147 X[3832],325 X[1656] - 189 X[3839],37 X[1656] - 21 X[3843],115 X[1656] - 63 X[3845],10 X[1656] - 7 X[3850],65 X[1656] - 49 X[3851],55 X[1656] - 21 X[3853],25 X[1656] - 17 X[3854],335 X[1656] - 231 X[3855],65 X[1656] - 42 X[3856],215 X[1656] - 147 X[3857],11 X[1656] - 7 X[3858],31 X[1656] - 21 X[3859],100 X[1656] - 63 X[3860],40 X[1656] - 21 X[3861],125 X[1656] - 189 X[5054],205 X[1656] - 189 X[5055],85 X[1656] - 77 X[5056],65 X[1656] + 7 X[5059],85 X[1656] - 63 X[5066],265 X[1656] - 273 X[5067],115 X[1656] - 91 X[5068],215 X[1656] - 231 X[5070],71 X[1656] - 63 X[5071],295 X[1656] - 231 X[5072],55 X[1656] - 7 X[5073],53 X[1656] - 21 X[5076],305 X[1656] - 273 X[5079],31 X[1657] + 105 X[3090],29 X[1657] + 75 X[3091],5 X[1657] + 3 X[3146],X[1657] - 25 X[3522],X[1657] + 7 X[3523],17 X[1657] + 135 X[3524],7 X[1657] + 33 X[3525],23 X[1657] + 105 X[3526],X[1657] - 105 X[3528],23 X[1657] - 15 X[3529],2 X[1657] + 15 X[3530],19 X[1657] + 85 X[3533],13 X[1657] - 45 X[3534],43 X[1657] + 45 X[3543],49 X[1657] + 135 X[3545],13 X[1657] + 15 X[3627],4 X[1657] + 15 X[3628],7 X[1657] + 9 X[3830],47 X[1657] + 105 X[3832],13 X[1657] + 27 X[3839],37 X[1657] + 75 X[3843],23 X[1657] + 45 X[3845],2 X[1657] + 5 X[3850],13 X[1657] + 35 X[3851],11 X[1657] + 15 X[3853],7 X[1657] + 17 X[3854],67 X[1657] + 165 X[3855],13 X[1657] + 30 X[3856],43 X[1657] + 105 X[3857],11 X[1657] + 25 X[3858],31 X[1657] + 75 X[3859],4 X[1657] + 9 X[3860],8 X[1657] + 15 X[3861],5 X[1657] + 27 X[5054],41 X[1657] + 135 X[5055],17 X[1657] + 55 X[5056],13 X[1657] - 5 X[5059],17 X[1657] + 45 X[5066],53 X[1657] + 195 X[5067],23 X[1657] + 65 X[5068],43 X[1657] + 165 X[5070],71 X[1657] + 225 X[5071],59 X[1657] + 165 X[5072],11 X[1657] + 5 X[5073],53 X[1657] + 75 X[5076],61 X[1657] + 195 X[5079],203 X[3090] - 155 X[3091],175 X[3090] - 31 X[3146],21 X[3090] + 155 X[3522],15 X[3090] - 31 X[3523],119 X[3090] - 279 X[3524],245 X[3090] - 341 X[3525],23 X[3090] - 31 X[3526],X[3090] + 31 X[3528],161 X[3090] + 31 X[3529],14 X[3090] - 31 X[3530],399 X[3090] - 527 X[3533],91 X[3090] + 93 X[3534],301 X[3090] - 93 X[3543],343 X[3090] - 279 X[3545],91 X[3090] - 31 X[3627],28 X[3090] - 31 X[3628],245 X[3090] - 93 X[3830],47 X[3090] - 31 X[3832],455 X[3090] - 279 X[3839],259 X[3090] - 155 X[3843],161 X[3090] - 93 X[3845],42 X[3090] - 31 X[3850],39 X[3090] - 31 X[3851],77 X[3090] - 31 X[3853],735 X[3090] - 527 X[3854],469 X[3090] - 341 X[3855],91 X[3090] - 62 X[3856],43 X[3090] - 31 X[3857],231 X[3090] - 155 X[3858],7 X[3090] - 5 X[3859],140 X[3090] - 93 X[3860],56 X[3090] - 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52 X[5068],43 X[3628] - 44 X[5070],71 X[3628] - 60 X[5071],59 X[3628] - 44 X[5072],33 X[3628] - 4 X[5073],53 X[3628] - 20 X[5076],61 X[3628] - 52 X[5079],9 X[3653] - X[9589],3 X[3819] + X[14641],141 X[3830] - 245 X[3832],13 X[3830] - 21 X[3839],111 X[3830] - 175 X[3843],23 X[3830] - 35 X[3845],18 X[3830] - 35 X[3850],117 X[3830] - 245 X[3851],33 X[3830] - 35 X[3853],9 X[3830] - 17 X[3854],201 X[3830] - 385 X[3855],39 X[3830] - 70 X[3856],129 X[3830] - 245 X[3857],99 X[3830] - 175 X[3858],93 X[3830] - 175 X[3859],4 X[3830] - 7 X[3860],24 X[3830] - 35 X[3861],5 X[3830] - 21 X[5054],41 X[3830] - 105 X[5055],153 X[3830] - 385 X[5056],117 X[3830] + 35 X[5059],17 X[3830] - 35 X[5066],159 X[3830] - 455 X[5067],207 X[3830] - 455 X[5068],129 X[3830] - 385 X[5070],71 X[3830] - 175 X[5071],177 X[3830] - 385 X[5072],99 X[3830] - 35 X[5073],159 X[3830] - 175 X[5076],183 X[3830] - 455 X[5079],455 X[3832] - 423 X[3839],259 X[3832] - 235 X[3843],161 X[3832] - 141 X[3845],42 X[3832] - 47 X[3850],39 X[3832] - 47 X[3851],77 X[3832] - 47 X[3853],735 X[3832] - 799 X[3854],469 X[3832] - 517 X[3855],91 X[3832] - 94 X[3856],43 X[3832] - 47 X[3857],231 X[3832] - 235 X[3858],217 X[3832] - 235 X[3859],140 X[3832] - 141 X[3860],56 X[3832] - 47 X[3861],175 X[3832] - 423 X[5054],287 X[3832] - 423 X[5055],357 X[3832] - 517 X[5056],273 X[3832] + 47 X[5059],119 X[3832] - 141 X[5066],371 X[3832] - 611 X[5067],483 X[3832] - 611 X[5068],301 X[3832] - 517 X[5070],497 X[3832] - 705 X[5071],413 X[3832] - 517 X[5072],231 X[3832] - 47 X[5073],371 X[3832] - 235 X[5076],427 X[3832] - 611 X[5079],333 X[3839] - 325 X[3843],69 X[3839] - 65 X[3845],54 X[3839] - 65 X[3850],27 X[3839] - 35 X[3851],99 X[3839] - 65 X[3853],189 X[3839] - 221 X[3854],603 X[3839] - 715 X[3855],9 X[3839] - 10 X[3856],387 X[3839] - 455 X[3857],297 X[3839] - 325 X[3858],279 X[3839] - 325 X[3859],12 X[3839] - 13 X[3860],72 X[3839] - 65 X[3861],5 X[3839] - 13 X[5054],41 X[3839] - 65 X[5055],459 X[3839] - 715 X[5056],27 X[3839] + 5 X[5059],51 X[3839] - 65 X[5066],477 X[3839] - 845 X[5067],621 X[3839] - 845 X[5068],387 X[3839] - 715 X[5070],213 X[3839] - 325 X[5071],531 X[3839] - 715 X[5072],297 X[3839] - 65 X[5073],477 X[3839] - 325 X[5076],549 X[3839] - 845 X[5079],115 X[3843] - 111 X[3845],30 X[3843] - 37 X[3850],195 X[3843] - 259 X[3851],55 X[3843] - 37 X[3853],525 X[3843] - 629 X[3854],335 X[3843] - 407 X[3855],65 X[3843] - 74 X[3856],215 X[3843] - 259 X[3857],33 X[3843] - 37 X[3858],31 X[3843] - 37 X[3859],100 X[3843] - 111 X[3860],40 X[3843] - 37 X[3861],125 X[3843] - 333 X[5054],205 X[3843] - 333 X[5055],255 X[3843] - 407 X[5056],195 X[3843] + 37 X[5059],85 X[3843] - 111 X[5066],265 X[3843] - 481 X[5067],345 X[3843] - 481 X[5068],215 X[3843] - 407 X[5070],71 X[3843] - 111 X[5071],295 X[3843] - 407 X[5072],165 X[3843] - 37 X[5073],53 X[3843] - 37 X[5076],305 X[3843] - 481 X[5079],18 X[3845] - 23 X[3850],117 X[3845] - 161 X[3851],33 X[3845] - 23 X[3853],315 X[3845] - 391 X[3854],201 X[3845] - 253 X[3855],39 X[3845] - 46 X[3856],129 X[3845] - 161 X[3857],99 X[3845] - 115 X[3858],93 X[3845] - 115 X[3859],20 X[3845] - 23 X[3860],24 X[3845] - 23 X[3861],25 X[3845] - 69 X[5054],41 X[3845] - 69 X[5055],153 X[3845] - 253 X[5056],117 X[3845] + 23 X[5059],17 X[3845] - 23 X[5066],159 X[3845] - 299 X[5067],9 X[3845] - 13 X[5068],129 X[3845] - 253 X[5070],71 X[3845] - 115 X[5071],177 X[3845] - 253 X[5072],99 X[3845] - 23 X[5073],159 X[3845] - 115 X[5076],183 X[3845] - 299 X[5079],13 X[3850] - 14 X[3851],11 X[3850] - 6 X[3853],35 X[3850] - 34 X[3854],67 X[3850] - 66 X[3855],13 X[3850] - 12 X[3856],43 X[3850] - 42 X[3857],11 X[3850] - 10 X[3858],31 X[3850] - 30 X[3859],10 X[3850] - 9 X[3860],4 X[3850] - 3 X[3861],25 X[3850] - 54 X[5054],41 X[3850] - 54 X[5055],17 X[3850] - 22 X[5056],13 X[3850] + 2 X[5059],17 X[3850] - 18 X[5066],53 X[3850] - 78 X[5067],23 X[3850] - 26 X[5068],43 X[3850] - 66 X[5070],71 X[3850] - 90 X[5071],59 X[3850] - 66 X[5072],11 X[3850] - 2 X[5073],53 X[3850] - 30 X[5076],61 X[3850] - 78 X[5079],77 X[3851] - 39 X[3853],245 X[3851] - 221 X[3854],469 X[3851] - 429 X[3855],7 X[3851] - 6 X[3856],43 X[3851] - 39 X[3857],77 X[3851] - 65 X[3858],217 X[3851] - 195 X[3859],140 X[3851] - 117 X[3860],56 X[3851] - 39 X[3861],175 X[3851] - 351 X[5054],287 X[3851] - 351 X[5055],119 X[3851] - 143 X[5056],7 X[3851] + X[5059],119 X[3851] - 117 X[5066],371 X[3851] - 507 X[5067],161 X[3851] - 169 X[5068],301 X[3851] - 429 X[5070],497 X[3851] - 585 X[5071],413 X[3851] - 429 X[5072],77 X[3851] - 13 X[5073],371 X[3851] - 195 X[5076],427 X[3851] - 507 X[5079],105 X[3853] - 187 X[3854],67 X[3853] - 121 X[3855],13 X[3853] - 22 X[3856],43 X[3853] - 77 X[3857],3 X[3853] - 5 X[3858],31 X[3853] - 55 X[3859],20 X[3853] - 33 X[3860],8 X[3853] - 11 X[3861],25 X[3853] - 99 X[5054],41 X[3853] - 99 X[5055],51 X[3853] - 121 X[5056],39 X[3853] + 11 X[5059],17 X[3853] - 33 X[5066],53 X[3853] - 143 X[5067],69 X[3853] - 143 X[5068],43 X[3853] - 121 X[5070],71 X[3853] - 165 X[5071],59 X[3853] - 121 X[5072],3 X[3853] - X[5073],53 X[3853] - 55 X[5076],61 X[3853] - 143 X[5079],1139 X[3854] - 1155 X[3855],221 X[3854] - 210 X[3856],731 X[3854] - 735 X[3857],187 X[3854] - 175 X[3858],527 X[3854] - 525 X[3859],68 X[3854] - 63 X[3860],136 X[3854] - 105 X[3861],85 X[3854] - 189 X[5054],697 X[3854] - 945 X[5055],289 X[3854] - 385 X[5056],221 X[3854] + 35 X[5059],289 X[3854] - 315 X[5066],901 X[3854] - 1365 X[5067],391 X[3854] - 455 X[5068],731 X[3854] - 1155 X[5070],1207 X[3854] - 1575 X[5071],1003 X[3854] - 1155 X[5072],187 X[3854] - 35 X[5073],901 X[3854] - 525 X[5076],1037 X[3854] - 1365 X[5079],143 X[3855] - 134 X[3856],473 X[3855] - 469 X[3857],363 X[3855] - 335 X[3858],341 X[3855] - 335 X[3859],220 X[3855] - 201 X[3860],88 X[3855] - 67 X[3861],275 X[3855] - 603 X[5054],451 X[3855] - 603 X[5055],51 X[3855] - 67 X[5056],429 X[3855] + 67 X[5059],187 X[3855] - 201 X[5066],583 X[3855] - 871 X[5067],759 X[3855] - 871 X[5068],43 X[3855] - 67 X[5070],781 X[3855] - 1005 X[5071],59 X[3855] - 67 X[5072],363 X[3855] - 67 X[5073],583 X[3855] - 335 X[5076],671 X[3855] - 871 X[5079],86 X[3856] - 91 X[3857],66 X[3856] - 65 X[3858],62 X[3856] - 65 X[3859],40 X[3856] - 39 X[3860],16 X[3856] - 13 X[3861],50 X[3856] - 117 X[5054],82 X[3856] - 117 X[5055],102 X[3856] - 143 X[5056],6 X[3856] + X[5059],34 X[3856] - 39 X[5066],106 X[3856] - 169 X[5067],138 X[3856] - 169 X[5068],86 X[3856] - 143 X[5070],142 X[3856] - 195 X[5071],118 X[3856] - 143 X[5072],66 X[3856] - 13 X[5073],106 X[3856] - 65 X[5076],122 X[3856] - 169 X[5079],231 X[3857] - 215 X[3858],217 X[3857] - 215 X[3859],140 X[3857] - 129 X[3860],56 X[3857] - 43 X[3861],175 X[3857] - 387 X[5054],287 X[3857] - 387 X[5055],357 X[3857] - 473 X[5056],273 X[3857] + 43 X[5059],119 X[3857] - 129 X[5066],371 X[3857] - 559 X[5067],483 X[3857] - 559 X[5068],7 X[3857] - 11 X[5070],497 X[3857] - 645 X[5071],413 X[3857] - 473 X[5072],231 X[3857] - 43 X[5073],371 X[3857] - 215 X[5076],427 X[3857] - 559 X[5079],31 X[3858] - 33 X[3859],100 X[3858] - 99 X[3860],40 X[3858] - 33 X[3861],125 X[3858] - 297 X[5054],205 X[3858] - 297 X[5055],85 X[3858] - 121 X[5056],65 X[3858] + 11 X[5059],85 X[3858] - 99 X[5066],265 X[3858] - 429 X[5067],115 X[3858] - 143 X[5068],215 X[3858] - 363 X[5070],71 X[3858] - 99 X[5071],295 X[3858] - 363 X[5072],5 X[3858] - X[5073],53 X[3858] - 33 X[5076],305 X[3858] - 429 X[5079],100 X[3859] - 93 X[3860],40 X[3859] - 31 X[3861],125 X[3859] - 279 X[5054],205 X[3859] - 279 X[5055],255 X[3859] - 341 X[5056],195 X[3859] + 31 X[5059],85 X[3859] - 93 X[5066],265 X[3859] - 403 X[5067],345 X[3859] - 403 X[5068],215 X[3859] - 341 X[5070],71 X[3859] - 93 X[5071],295 X[3859] - 341 X[5072],165 X[3859] - 31 X[5073],53 X[3859] - 31 X[5076],305 X[3859] - 403 X[5079],6 X[3860] - 5 X[3861],5 X[3860] - 12 X[5054],41 X[3860] - 60 X[5055],153 X[3860] - 220 X[5056],117 X[3860] + 20 X[5059],17 X[3860] - 20 X[5066],159 X[3860] - 260 X[5067],207 X[3860] - 260 X[5068],129 X[3860] - 220 X[5070],71 X[3860] - 100 X[5071],177 X[3860] - 220 X[5072],99 X[3860] - 20 X[5073],159 X[3860] - 100 X[5076],183 X[3860] - 260 X[5079],25 X[3861] - 72 X[5054],41 X[3861] - 72 X[5055],51 X[3861] - 88 X[5056],39 X[3861] + 8 X[5059],17 X[3861] - 24 X[5066],53 X[3861] - 104 X[5067],69 X[3861] - 104 X[5068],43 X[3861] - 88 X[5070],71 X[3861] - 120 X[5071],59 X[3861] - 88 X[5072],33 X[3861] - 8 X[5073],53 X[3861] - 40 X[5076],61 X[3861] - 104 X[5079],3 X[3917] + X[13491],3 X[3917] - X[31834],X[4301] - 5 X[31666],X[4701] - 11 X[31663],41 X[5054] - 25 X[5055],459 X[5054] - 275 X[5056],351 X[5054] + 25 X[5059],51 X[5054] - 25 X[5066],477 X[5054] - 325 X[5067],621 X[5054] - 325 X[5068],387 X[5054] - 275 X[5070],213 X[5054] - 125 X[5071],531 X[5054] - 275 X[5072],297 X[5054] - 25 X[5073],477 X[5054] - 125 X[5076],549 X[5054] - 325 X[5079],459 X[5055] - 451 X[5056],351 X[5055] + 41 X[5059],51 X[5055] - 41 X[5066],477 X[5055] - 533 X[5067],621 X[5055] - 533 X[5068],387 X[5055] - 451 X[5070],213 X[5055] - 205 X[5071],531 X[5055] - 451 X[5072],297 X[5055] - 41 X[5073],477 X[5055] - 205 X[5076],549 X[5055] - 533 X[5079],143 X[5056] + 17 X[5059],11 X[5056] - 9 X[5066],583 X[5056] - 663 X[5067],253 X[5056] - 221 X[5068],43 X[5056] - 51 X[5070],781 X[5056] - 765 X[5071],59 X[5056] - 51 X[5072],121 X[5056] - 17 X[5073],583 X[5056] - 255 X[5076],671 X[5056] - 663 X[5079],17 X[5059] + 117 X[5066],53 X[5059] + 507 X[5067],23 X[5059] + 169 X[5068],43 X[5059] + 429 X[5070],71 X[5059] + 585 X[5071],59 X[5059] + 429 X[5072],11 X[5059] + 13 X[5073],53 X[5059] + 195 X[5076],61 X[5059] + 507 X[5079],159 X[5066] - 221 X[5067],207 X[5066] - 221 X[5068],129 X[5066] - 187 X[5070],71 X[5066] - 85 X[5071],177 X[5066] - 187 X[5072],99 X[5066] - 17 X[5073],159 X[5066] - 85 X[5076],183 X[5066] - 221 X[5079],69 X[5067] - 53 X[5068],559 X[5067] - 583 X[5070],923 X[5067] - 795 X[5071],767 X[5067] - 583 X[5072],429 X[5067] - 53 X[5073],13 X[5067] - 5 X[5076],61 X[5067] - 53 X[5079],559 X[5068] - 759 X[5070],923 X[5068] - 1035 X[5071],767 X[5068] - 759 X[5072],143 X[5068] - 23 X[5073],689 X[5068] - 345 X[5076],61 X[5068] - 69 X[5079],781 X[5070] - 645 X[5071],59 X[5070] - 43 X[5072],363 X[5070] - 43 X[5073],583 X[5070] - 215 X[5076],671 X[5070] - 559 X[5079],885 X[5071] - 781 X[5072],495 X[5071] - 71 X[5073],159 X[5071] - 71 X[5076],915 X[5071] - 923 X[5079],363 X[5072] - 59 X[5073],583 X[5072] - 295 X[5076],671 X[5072] - 767 X[5079],53 X[5073] - 165 X[5076],61 X[5073] - 429 X[5079],305 X[5076] - 689 X[5079],X[5876] + 3 X[14855],X[5893] - 3 X[10182],X[5894] + 3 X[11202],X[5901] - 3 X[17502],X[6243] - 9 X[20791],X[6361] + 3 X[10283],3 X[6696] - X[14864],3 X[6759] + X[15105],5 X[7987] - X[22791],9 X[7998] - X[18439],3 X[9730] - X[14449],3 X[10095] - 2 X[12002],3 X[10164] - X[18357],3 X[10170] - X[32137],5 X[10574] + 3 X[13340],X[10575] + 3 X[15067],3 X[10610] - X[11803],3 X[10706] - 19 X[15023],X[10991] + 3 X[33813],X[10992] + 3 X[12042],3 X[11694] - X[15063],3 X[12041] + X[30714],3 X[12512] + X[13464],3 X[13348] + X[13382],3 X[13363] - X[13598],3 X[13392] - 2 X[16534],X[13464] - 3 X[13624],X[14677] + 3 X[15035],7 X[15036] + X[20127],7 X[16192] + X[18481],3 X[17502] + X[31730],3 X[17508] - X[18583],X[18358] - 3 X[21167].

= lies on these lines: {2,3},{36,15172},{74,26861},{143,16836},{146,22251},{187,5368},{389,13421},{397,10645},{398,10646},{952,4701},{1125,28178},{1154,13348},{1351,33750},{1385,5493},{1503,33751},{1511,10990},{1587,6451},{1588,6452},{1990,22052},{3068,6496},{3069,6497},{3098,8550},{3336,15174},{3357,33533},{3564,14810},{3579,5844},{3590,23269},{3591,23275},{3634,28168},{3653,9589},{3793,7783},{3819,14641},{3916,9945},{3917,13491},{4297,28224},{4301,31666},{4325,4995},{4330,5298},{4857,15325},{5010,18990},{5122,12433},{5131,10543},{5188,32516},{5206,5305},{5254,8588},{5270,15326},{5286,15655},{5447,5663},{5876,14855},{5893,10182},{5894,11202},{5901,17502},{6000,32142},{6147,30282},{6243,20791},{6337,14929},{6361,10283},{6390,7768},{6411,8981},{6412,13966},{6426,9681},{6445,7581},{6446,7582},{6449,19117},{6450,9541},{6455,6460},{6456,6459},{6519,19054},{6522,19053},{6560,13925},{6561,13993},{6684,28186},{6696,14864},{6749,10979},{6759,15105},{7280,15171},{7745,8589},{7750,7871},{7755,15513},{7767,7782},{7830,32459},{7987,22791},{7998,18439},{9729,13391},{9730,14449},{9786,33543},{9955,28182},{9956,28190},{10095,12002},{10164,18357},{10170,32137},{10187,19107},{10188,19106},{10194,23261},{10195,23251},{10272,16111},{10564,10610},{10574,13340},{10575,15067},{10619,18914},{10706,15023},{10991,33813},{10992,12042},{11574,15471},{11592,11793},{11694,15063},{12006,17704},{12041,30714},{12242,13568},{12363,13148},{12512,13464},{13142,32110},{13363,13598},{13392,16534},{13393,15605},{13630,15644},{14128,14915},{14677,15035},{14841,20421},{14862,15311},{14907,32821},{15036,20127},{15815,18907},{16192,18481},{17508,18583},{18358,21167},{25555,29181},{25563,32903},{32824,32890},{32825,32891}}.

= midpoint of X(i) and X(j) for these {i,j}: {3, 548}, {20, 546}, {140, 550}, {547, 3534}, {5188, 32516}, {5901, 31730}, {10272, 16111}, {12512, 13624}, {13491, 31834}, {13630, 15644}, {25563, 32903}

= reflection of X(i) in X(j) for these {i,j}: {3530, 3}, {3627, 3856}, {3628, 3530}, {3850, 140}, {3861, 3628}, {11793, 11592}, {12006, 17704}, {13393, 20417}, {16881, 9729}

= complement of X(3853)

= {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3853, 12811}, {2, 5073, 3858}, {2, 15696, 15704}, {2, 15704, 3853}, {3, 4, 15712}, {3, 5, 12100}, {3, 20, 549}, {3, 376, 5}, {3, 381, 15717}, {3, 382, 3524}, {3, 550, 140}, {3, 631, 17504}, {3, 1656, 10299}, {3, 1657, 3523}, {3, 3522, 550}, {3, 3526, 15692}, {3, 3528, 8703}, {3, 3530, 14891}, {3, 3534, 631}, {3, 3843, 15700}, {3, 5070, 15706}, {3, 6909, 5428}, {3, 7512, 15646}, {3, 7525, 15331}, {3, 8703, 548}, {3, 12103, 12108}, {3, 12605, 16976}, {3, 14093, 3528}, {3, 14130, 15246}, {3, 15688, 20}, {3, 15689, 3526}, {3, 15690, 16239}, {3, 15695, 382}, {3, 15696, 2}, {3, 15717, 15711}, {3, 16117, 6940}, {3, 17538, 14869}, {3, 17800, 15693}, {3, 21312, 7516}, {3, 33703, 19711}, {4, 15712, 140}, {5, 376, 12103}, {5, 549, 3525}, {5, 550, 1657}, {5, 632, 15703}, {5, 3146, 14893}, {5, 3523, 140}, {5, 3627, 3839}, {5, 3830, 546}, {5, 10124, 3628}, {5, 12100, 12108}, {5, 12102, 3860}, {5, 12108, 10124}, {5, 19710, 3146}, {20, 549, 546}, {20, 3523, 3854}, {20, 3525, 3830}, {20, 10299, 1656}, {20, 15705, 3525}, {20, 19708, 3}, {140, 546, 1656}, {140, 548, 550}, {140, 1656, 16239}, {140, 3523, 12108}, {140, 3533, 11540}, {140, 3850, 3628}, {140, 5059, 3856}, {140, 5073, 12811}, {140, 12100, 3523}, {140, 15691, 5073}, {140, 16618, 18282}, {376, 1657, 550}, {376, 3523, 1657}, {376, 3525, 20}, {376, 3839, 3534}, {376, 5054, 19710}, {376, 15703, 15686}, {376, 15705, 3830}, {376, 19708, 15705}, {376, 21734, 3}, {381, 15710, 15711}, {381, 15717, 14869}, {382, 632, 5066}, {382, 3524, 632}, {546, 548, 15690}, {546, 549, 16239}, {546, 15690, 20}, {546, 16239, 10109}, {547, 3627, 3856}, {548, 3853, 15696}, {548, 12100, 12103}, {548, 12103, 376}, {548, 12812, 15689}, {548, 15714, 12811}, {548, 15759, 3628}, {548, 16197, 15332}, {549, 1656, 140}, {549, 8703, 15688}, {549, 15688, 15690}, {549, 15705, 12100}, {550, 1657, 12103}, {550, 3522, 548}, {550, 3858, 15704}, {550, 8703, 3522}, {550, 10299, 546}, {550, 15712, 4}, {550, 17504, 3851}, {631, 3534, 3627}, {631, 3627, 547}, {631, 5059, 3851}, {632, 15686, 382}, {1656, 1657, 3830}, {1656, 3830, 3854}, {1656, 3851, 15022}, {1656, 3854, 5}, {1656, 10299, 549}, {1657, 3523, 5}, {1657, 12108, 3850}, {1657, 15722, 5068}, {2043, 2044, 15685}, {2045, 2046, 15694}, {3090, 15687, 3859}, {3090, 17800, 15687}, {3146, 5054, 5}, {3522, 3523, 376}, {3522, 10304, 21735}, {3522, 19708, 1656}, {3522, 21734, 3523}, {3522, 21735, 3}, {3523, 3854, 3525}, {3523, 15705, 10299}, {3524, 15686, 5066}, {3524, 15695, 15686}, {3525, 3830, 5}, {3525, 3854, 1656}, {3525, 10299, 3523}, {3525, 16239, 10124}, {3526, 3529, 3845}, {3526, 3845, 12812}, {3526, 15689, 3529}, {3528, 10304, 3}, {3528, 21735, 3522}, {3529, 15692, 3526}, {3529, 15722, 5}, {3530, 3628, 11812}, {3530, 3850, 140}, {3530, 10124, 12108}, {3530, 12102, 10124}, {3530, 12103, 3860}, {3530, 15759, 3}, {3533, 14869, 140}, {3534, 3851, 5059}, {3534, 15718, 3839}, {3534, 17504, 547}, {3543, 5070, 3857}, {3543, 15706, 15713}, {3545, 15716, 549}, {3552, 8359, 19697}, {3627, 15022, 546}, {3627, 17504, 631}, {3628, 3860, 5}, {3628, 3861, 11737}, {3628, 14891, 3530}, {3830, 10109, 3860}, {3830, 15688, 376}, {3830, 15705, 549}, {3843, 10303, 15699}, {3843, 15700, 10303}, {3851, 3856, 3850}, {3851, 5059, 3627}, {3853, 15691, 15704}, {3854, 15705, 3523}, {3856, 14890, 3628}, {3857, 15713, 5070}, {3858, 5073, 3853}, {3858, 12811, 3850}, {3858, 15704, 5073}, {3860, 12100, 11812}, {3860, 12102, 3861}, {3861, 11812, 3628}, {3917, 13491, 31834}, {5054, 19710, 14893}, {5055, 15715, 19711}, {5056, 15695, 550}, {5059, 17504, 140}, {5067, 15683, 5076}, {5076, 15701, 5067}, {5079, 15685, 17578}, {5079, 17578, 23046}, {6450, 9541, 19116}, {6656, 33276, 27088}, {7486, 11541, 14269}, {7807, 33275, 8354}, {8703, 19708, 15690}, {8703, 21734, 12103}, {8703, 21735, 140}, {10109, 16239, 3628}, {10124, 12102, 5}, {10299, 15688, 550}, {10299, 21735, 19708}, {10303, 11001, 3843}, {10304, 14093, 8703}, {11001, 15700, 15699}, {11539, 15681, 12101}, {11541, 15719, 7486}, {12100, 12103, 5}, {12100, 12108, 3530}, {12100, 14893, 5054}, {12100, 15690, 3830}, {12102, 12108, 3628}, {12103, 12108, 12102}, {12103, 15705, 16239}, {12103, 15718, 3856}, {12108, 21734, 15759}, {14813, 14814, 3627}, {14869, 15711, 15717}, {15681, 15698, 11539}, {15685, 15702, 23046}, {15688, 19708, 549}, {15689, 15692, 3845}, {15693, 17800, 3090}, {15694, 33699, 14892}, {15696, 15704, 15691}, {15697, 15715, 5055}, {15702, 17578, 5079}, {15710, 15717, 3}, {15710, 17538, 15717}, {15717, 17538, 381}, {15718, 17504, 12100}, {16196, 25337, 10125}, {17502, 31730, 5901}, {17529, 17574, 15673}, {33008, 33235, 8362}, {33022, 33268, 8370}

Best regards,
Peter Moses.