{[1,1,0],[1,-1,0],[0,1,1],[0,-1,1]}
{[0,0,1],[1,56,0],[1,-56,0]}
{[0,0,1],[1,740,0],[1,-740,0]}
{[0,0,1]}
{[1,1,0],[1,-1,0],[-2,14,1],[-2,-14,1],[-1,2,1],[-1,-2,1],[0,2,1],[0,-2,1],[1,2,1],[1,-2,1],[2,2,1],[2,-2,1],[3,14,1],[3,-14,1],[-2,26,3],[-2,-26,3],[5,26,3],[5,-26,3],[2,278,5],[2,-278,5],[3,278,5],[3,-278,5]}
{[0,0,1],[1,804,0],[1,-804,0]}
{[0,0,1],[1,550,0],[1,-550,0]}
{[0,0,1],[1,2706,0],[1,-2706,0]}
{[0,0,1],[1,1690,0],[1,-1690,0]}
{[-1,0,1],[1,1,0],[1,-1,0],[1,0,1]}
{[0,0,1]}
{[1,1,0],[1,-1,0],[-3,25,1],[-3,-25,1],[-1,1,1],[-1,-1,1],[0,1,1],[0,-1,1],[1,1,1],[1,-1,1],[7,323,3],[7,-323,3],[-1,71,4],[-1,-71,4],[7,307,5],[7,-307,5],[8,463,5],[8,-463,5]}
{[0,0,1],[1,1185,0],[1,-1185,0]}
{[1,1,0],[1,-1,0],[-2,1,1],[-2,-1,1],[-1,1,1],[-1,-1,1],[0,1,1],[0,-1,1],[1,1,1],[1,-1,1],[3,29,1],[3,-29,1],[2,13,3],[2,-13,3],[4,71,5],[4,-71,5]}
{[1,1,0],[1,-1,0],[-3,10,1],[-3,-10,1],[-1,2,1],[-1,-2,1],[0,1,1],[0,-1,1],[1,2,1],[1,-2,1],[1,10,3],[1,-10,3],[-17,286,7],[-17,-286,7],[7,286,17],[7,-286,17]}
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{[1,1,0],[1,-1,0],[-1,0,1],[0,1,1],[0,-1,1],[1,0,1],[1,3,2],[1,-3,2],[-5,28,3],[-5,-28,3]}
{[1,1,0],[1,-1,0],[-2,12,1],[-2,-12,1],[0,2,1],[0,-2,1],[1,3,1],[1,-3,1],[2,4,1],[2,-4,1],[4,30,1],[4,-30,1],[-3,31,2],[-3,-31,2],[-1,3,2],[-1,-3,2],[1,19,2],[1,-19,2],[5,39,2],[5,-39,2],[-4,38,3],[-4,-38,3],[4,94,3],[4,-94,3],[-1,103,4],[-1,-103,4],[22,5492,5],[22,-5492,5],[-176,7156110,31],[-176,-7156110,31],[90,1484876,77],[90,-1484876,77]}
{[1,1,0],[1,-1,0],[-4,22,1],[-4,-22,1],[-3,1,1],[-3,-1,1],[-2,0,1],[-1,1,1],[-1,-1,1],[0,2,1],[0,-2,1],[1,3,1],[1,-3,1],[2,16,1],[2,-16,1],[-5,41,3],[-5,-41,3],[-4,38,3],[-4,-38,3],[-4,114,5],[-4,-114,5],[-2,552,7],[-2,-552,7],[22,22632,13],[22,-22632,13],[-11,7677,19],[-11,-7677,19],[-153,178751,77],[-153,-178751,77]}
{[1,1,0],[1,-1,0],[-1,1,1],[-1,-1,1],[0,2,1],[0,-2,1],[1,1,1],[1,-1,1],[7,191,1],[7,-191,1],[-1,13,2],[-1,-13,2],[1,19,2],[1,-19,2],[-5,139,3],[-5,-139,3],[-9,911,4],[-9,-911,4],[-5,107,4],[-5,-107,4],[-3,83,4],[-3,-83,4],[-11,1559,6],[-11,-1559,6],[1,461,6],[1,-461,6],[-3,1793,10],[-3,-1793,10],[9,2819,11],[9,-2819,11],[-13,3767,15],[-13,-3767,15],[32,5734,31],[32,-5734,31],[-77,14053513,201],[-77,-14053513,201],[-13,1029324827,803],[-13,-1029324827,803]}
{[1,1,0],[1,-1,0],[-1,2,1],[-1,-2,1],[0,2,1],[0,-2,1],[1,2,1],[1,-2,1],[2,4,1],[2,-4,1],[-9,929,2],[-9,-929,2],[-1,7,2],[-1,-7,2],[1,19,2],[1,-19,2],[3,11,2],[3,-11,2],[5,79,2],[5,-79,2],[-2,16,3],[-2,-16,3],[19,5906,3],[19,-5906,3],[-3,47,4],[-3,-47,4],[16,6394,15],[16,-6394,15],[-32,59686,19],[-32,-59686,19],[111,1284131,92],[111,-1284131,92],[-207,17088514,143],[-207,-17088514,143],[-217,20607001,208],[-217,-20607001,208]}
{[1,1,0],[1,-1,0],[-2,6,1],[-2,-6,1],[0,2,1],[0,-2,1],[1,0,1],[2,2,1],[2,-2,1],[5,118,1],[5,-118,1],[-3,5,2],[-3,-5,2],[-1,9,2],[-1,-9,2],[1,17,2],[1,-17,2],[-2,10,3],[-2,-10,3],[8,370,3],[8,-370,3],[3,1115,8],[3,-1115,8],[7,1857,10],[7,-1857,10],[-106,656578,63],[-106,-656578,63]}
{[1,1,0],[1,-1,0],[-6,146,1],[-6,-146,1],[-4,6,1],[-4,-6,1],[0,2,1],[0,-2,1],[1,1,1],[1,-1,1],[2,6,1],[2,-6,1],[-1,13,2],[-1,-13,2],[1,15,2],[1,-15,2],[3,7,2],[3,-7,2],[-2,22,3],[-2,-22,3],[8,218,5],[8,-218,5],[-58,157422,7],[-58,-157422,7],[8,78,7],[8,-78,7],[-7,303,10],[-7,-303,10],[5,3319,12],[5,-3319,12],[11,125979,40],[11,-125979,40],[350,21956534,323],[350,-21956534,323]}
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{[1,2,0],[1,-2,0],[-1,3,1],[-1,-3,1],[0,2,1],[0,-2,1],[1,3,1],[1,-3,1],[1,18,2],[1,-18,2],[-5,311,3],[-5,-311,3],[1,59,3],[1,-59,3],[4,312,5],[4,-312,5],[-99,1978247,7],[-99,-1978247,7],[-3,551,7],[-3,-551,7],[-3,1726,10],[-3,-1726,10],[21,23753,19],[21,-23753,19],[-29,65601,23],[-29,-65601,23],[-73,979422,46],[-73,-979422,46],[-67,7299631,165],[-67,-7299631,165],[653,618460671,517],[653,-618460671,517]}
{[1,1,0],[1,-1,0],[-3,23,1],[-3,-23,1],[-2,4,1],[-2,-4,1],[-1,1,1],[-1,-1,1],[0,2,1],[0,-2,1],[1,1,1],[1,-1,1],[3,1,1],[3,-1,1],[6,176,1],[6,-176,1],[-13,2117,3],[-13,-2117,3],[1,59,3],[1,-59,3],[-13,1693,5],[-13,-1693,5],[-2,232,5],[-2,-232,5],[16,1294,5],[16,-1294,5],[1,713,7],[1,-713,7],[-5,889,8],[-5,-889,8],[7,2917,11],[7,-2917,11],[-14,11104,19],[-14,-11104,19],[-55,208951,57],[-55,-208951,57],[-203,6925417,71],[-203,-6925417,71]}
{[1,2,0],[1,-2,0],[-2,16,1],[-2,-16,1],[-1,1,1],[-1,-1,1],[0,2,1],[0,-2,1],[1,5,1],[1,-5,1],[2,16,1],[2,-16,1],[-1,8,2],[-1,-8,2],[3,68,2],[3,-68,2],[-22,21880,3],[-22,-21880,3],[-5,239,3],[-5,-239,3],[-1,37,3],[-1,-37,3],[7,653,3],[7,-653,3],[-6,328,5],[-6,-328,5],[-3,89,5],[-3,-89,5],[-5,79,7],[-5,-79,7],[-8,146,9],[-8,-146,9],[-8,166,11],[-8,-166,11],[-3,1979,11],[-3,-1979,11],[45,170773,11],[45,-170773,11],[-2,22280,23],[-2,-22280,23],[170,24867088,171],[170,-24867088,171],[72,40037650,247],[72,-40037650,247]}
{[1,1,0],[1,-1,0],[-5,139,1],[-5,-139,1],[-3,41,1],[-3,-41,1],[-1,5,1],[-1,-5,1],[0,1,1],[0,-1,1],[1,1,1],[1,-1,1],[3,43,1],[3,-43,1],[7,421,1],[7,-421,1],[-5,223,2],[-5,-223,2],[-3,83,2],[-3,-83,2],[-1,13,2],[-1,-13,2],[1,1,2],[1,-1,2],[7,517,2],[7,-517,2],[-1,29,3],[-1,-29,3],[1,23,3],[1,-23,3],[-1,61,4],[-1,-61,4],[-16,5909,5],[-16,-5909,5],[11,2437,8],[11,-2437,8],[15,6217,8],[15,-6217,8],[16,7615,9],[16,-7615,9],[-3,1013,10],[-3,-1013,10],[17,7573,15],[17,-7573,15],[1,8171,20],[1,-8171,20],[9,4051,20],[9,-4051,20],[5,9101,21],[5,-9101,21],[104,1512295,21],[104,-1512295,21],[-11,28939,29],[-11,-28939,29],[-4777,666435128063,5605],[-4777,-666435128063,5605]}
{[1,1,0],[1,-1,0],[-21,6841,1],[-21,-6841,1],[-1,1,1],[-1,-1,1],[0,2,1],[0,-2,1],[1,1,1],[1,-1,1],[2,10,1],[2,-10,1],[3,41,1],[3,-41,1],[6,314,1],[6,-314,1],[14,3446,1],[14,-3446,1],[-2,62,3],[-2,-62,3],[-1,53,3],[-1,-53,3],[2,62,3],[2,-62,3],[19,9883,3],[19,-9883,3],[2,302,5],[2,-302,5],[8,398,5],[8,-398,5],[1,743,7],[1,-743,7],[11,953,7],[11,-953,7],[-10,2498,11],[-10,-2498,11],[10,2078,11],[10,-2078,11],[8,8182,15],[8,-8182,15],[-16,8210,17],[-16,-8210,17],[-7,10033,17],[-7,-10033,17],[45,29527,31],[45,-29527,31],[184,2332646,175],[184,-2332646,175],[218,704978,205],[218,-704978,205],[936,100486726,881],[936,-100486726,881],[-2408,18434366186,2449],[-2408,-18434366186,2449]}
{[1,1,0],[1,-1,0],[-2,13,1],[-2,-13,1],[-1,1,1],[-1,-1,1],[0,1,1],[0,-1,1],[1,5,1],[1,-5,1],[2,17,1],[2,-17,1],[3,43,1],[3,-43,1],[-22,10895,3],[-22,-10895,3],[-5,223,3],[-5,-223,3],[-4,121,3],[-4,-121,3],[4,209,3],[4,-209,3],[2,293,5],[2,-293,5],[58,219757,7],[58,-219757,7],[-33,41387,8],[-33,-41387,8],[5,2071,9],[5,-2071,9],[-20,13681,11],[-20,-13681,11],[-1,419,11],[-1,-419,11],[-1,2521,16],[-1,-2521,16],[-24,26041,17],[-24,-26041,17],[119,2175641,25],[119,-2175641,25],[-31,11471,32],[-31,-11471,32],[14,115471,37],[14,-115471,37],[-111,2550085,89],[-111,-2550085,89],[-1771,2033601025,1829],[-1771,-2033601025,1829],[646,280829857645,5771],[646,-280829857645,5771]}
{[1,2,0],[1,-2,0],[-6,367,1],[-6,-367,1],[-3,32,1],[-3,-32,1],[-2,1,1],[-2,-1,1],[-1,2,1],[-1,-2,1],[0,1,1],[0,-1,1],[1,4,1],[1,-4,1],[2,17,1],[2,-17,1],[4,137,1],[4,-137,1],[39,120418,1],[39,-120418,1],[-2,53,3],[-2,-53,3],[-1,32,3],[-1,-32,3],[4,163,3],[4,-163,3],[-5,4,4],[-5,-4,4],[-1,64,4],[-1,-64,4],[-11,788,5],[-11,-788,5],[3,346,5],[3,-346,5],[9,1934,7],[9,-1934,7],[17,10418,7],[17,-10418,7],[-7,1532,9],[-7,-1532,9],[-1,1168,11],[-1,-1168,11],[1,3902,15],[1,-3902,15],[-3,6026,19],[-3,-6026,19],[8,24553,23],[8,-24553,23],[-35,24044,29],[-35,-24044,29],[-8,30257,31],[-8,-30257,31],[-174,1629373,85],[-174,-1629373,85],[11,985364,91],[11,-985364,91],[-589,202100788,515],[-589,-202100788,515]}
{[1,1,0],[1,-1,0],[-4,84,1],[-4,-84,1],[-3,37,1],[-3,-37,1],[-1,3,1],[-1,-3,1],[0,2,1],[0,-2,1],[1,1,1],[1,-1,1],[5,3,1],[5,-3,1],[-32,37822,3],[-32,-37822,3],[1,59,3],[1,-59,3],[-7,537,4],[-7,-537,4],[-1,129,4],[-1,-129,4],[-3,283,5],[-3,-283,5],[3,287,5],[3,-287,5],[-67,351399,7],[-67,-351399,7],[32,9642,31],[32,-9642,31]}
{[1,2,0],[1,-2,0],[-5,111,1],[-5,-111,1],[-4,2,1],[-4,-2,1],[-1,1,1],[-1,-1,1],[0,4,1],[0,-4,1],[1,3,1],[1,-3,1],[3,79,1],[3,-79,1],[5,331,1],[5,-331,1],[-9,482,2],[-9,-482,2],[-1,30,2],[-1,-30,2],[3,82,2],[3,-82,2],[20,20098,3],[20,-20098,3],[-3,206,4],[-3,-206,4],[1,246,4],[1,-246,4],[-31,35313,5],[-31,-35313,5],[5,554,6],[5,-554,6],[1,1353,7],[1,-1353,7],[3,1213,7],[3,-1213,7],[-7,1326,8],[-7,-1326,8],[5,1542,8],[5,-1542,8],[11,3802,10],[11,-3802,10],[-7,4701,11],[-7,-4701,11],[7,5414,12],[7,-5414,12],[19,21010,12],[19,-21010,12],[-7,15634,16],[-7,-15634,16],[23,34746,20],[23,-34746,20],[-191,9585483,25],[-191,-9585483,25],[-113,44508182,228],[-113,-44508182,228],[2993,65772321135,389],[2993,-65772321135,389],[-417,375490586,506],[-417,-375490586,506],[-4543,66174817026,992],[-4543,-66174817026,992],[-6851,63853877067,6739],[-6851,-63853877067,6739]}
{[1,1,0],[1,-1,0],[-9,191,1],[-9,-191,1],[-1,1,1],[-1,-1,1],[0,2,1],[0,-2,1],[1,1,1],[1,-1,1],[3,47,1],[3,-47,1],[-1,19,2],[-1,-19,2],[1,11,2],[1,-11,2],[3,47,2],[3,-47,2],[-1,61,3],[-1,-61,3],[4,104,3],[4,-104,3],[3,43,4],[3,-43,4],[-1,269,5],[-1,-269,5],[1,229,5],[1,-229,5],[13,3923,5],[13,-3923,5],[5,103,6],[5,-103,6],[5,541,8],[5,-541,8],[7,247,8],[7,-247,8],[35,68581,8],[35,-68581,8],[-7,1657,9],[-7,-1657,9],[20,14572,11],[20,-14572,11],[-225,4889221,22],[-225,-4889221,22],[23,10807,28],[23,-10807,28],[-31,71339,34],[-31,-71339,34],[7,250787,51],[7,-250787,51],[27,232063,55],[27,-232063,55]}
{[1,4,0],[1,-4,0],[-3,123,1],[-3,-123,1],[-2,39,1],[-2,-39,1],[-1,5,1],[-1,-5,1],[0,3,1],[0,-3,1],[1,3,1],[1,-3,1],[2,23,1],[2,-23,1],[6,807,1],[6,-807,1],[8,1949,1],[8,-1949,1],[1,32,2],[1,-32,2],[3,60,2],[3,-60,2],[-1,23,3],[-1,-23,3],[5,311,3],[5,-311,3],[-3,24,4],[-3,-24,4],[1,240,4],[1,-240,4],[-4,201,5],[-4,-201,5],[-1,249,5],[-1,-249,5],[17,17103,5],[17,-17103,5],[-7,1796,6],[-7,-1796,6],[-5,472,6],[-5,-472,6],[-2,465,7],[-2,-465,7],[5,1291,7],[5,-1291,7],[9,1389,7],[9,-1389,7],[16,10805,9],[16,-10805,9],[26,58945,9],[26,-58945,9],[-4,327,11],[-4,-327,11],[9,4665,11],[9,-4665,11],[14,5205,11],[14,-5205,11],[6,8781,13],[6,-8781,13],[-6,2649,17],[-6,-2649,17],[11,27185,19],[11,-27185,19],[-9,11652,26],[-9,-11652,26],[-45,473316,32],[-45,-473316,32],[35,96036,32],[35,-96036,32],[17,576735,53],[17,-576735,53],[16,47696729,245],[16,-47696729,245],[-981,4446901680,406],[-981,-4446901680,406],[477,425574636,512],[477,-425574636,512],[154,8607522003,1363],[154,-8607522003,1363],[3604,136030306695,1771],[3604,-136030306695,1771]}
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