_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI := [ [ a^-1, b*a^-1*(a*b*a^-1*b^-1)^2 ] ]
                     where a is (_LR`F).1 where b is (_LR`F).2;
//Standard generators of A12 are a and b where a is in class 3A, b has order 11,
//ab has order 10 and abb has order 35.  Standard generators of the double
//cover 2.A12 are preimages A and B where A has order 3 and B has order 11.
//Irreducible, fixed by _LR`AI[1].
//one constituents interchanged by _LR`AI[1]

_LR`G :=
MatrixGroup<32, ext<K|Polynomial(K, [1, -1, 1])> where K is RationalField() |
[[-154,199],[115,26],[
-47,-30],[-39,-46],[
50,-54],[-7,-61],[
-6,-74],[-121,55],[
-94,58],[-105,5],[
-6,-14],[-123,113],[
-144,59],[1,-33],[
-37,35],[95,-55],[
-157,107],[62,17],[
-61,75],[207,-147],[
118,-32],[86,-35],[
-207,147],[90,-57],[
-14,-106],[34,-89],[
70,-3],[-91,57],[
92,-150],[-11,62],[-85,78],
[-187,152],[-150,82],[
-55,90],[31,-51],[
36,-25],[69,-26],[
16,-52],[51,-48],[
-39,-21],[-60,-24],[
-4,-39],[1,-39],[
-101,14],[-55,-30],[61,-9],
[-24,24],[59,26],[
-106,7],[-17,26],[
-61,35],[118,12],[
31,57],[24,48],[
-118,-14],[30,4],[49,-79],[
54,-56],[18,15],[
-34,0],[135,-58],[-39,29],[
-68,19],[-112,1],[
5,101],[59,-37],[
-31,12],[-27,12],[10,-36],[
-40,3],[-33,-5],[
-39,61],[-36,52],[-48,45],[
-17,1],[-26,78],[
-55,73],[3,-14],[3,21],[
37,-51],[-44,93],[
34,-27],[0,41],[
52,-114],[55,-56],[35,-38],
[-53,114],[17,-45],[
-59,-3],[-25,-26],[
37,-38],[-18,46],[
-8,-64],[19,14],[
-14,53],[-39,104],[-3,-24],
[-45,-3],[20,2],[
8,22],[9,12],[
5,-3],[10,14],[19,-11],[
13,-27],[21,2],[
10,-16],[6,-28],[19,-17],[
11,23],[-3,5],[
-13,27],[9,-22],[-14,-12],[
-3,-7],[-25,38],[
-27,22],[-22,23],[26,-38],[
-14,7],[11,9],[
6,6],[-5,-4],[13,-6],[
7,35],[-5,-11],[
2,-13],[23,-36],[-86,-92],[
-57,103],[37,-47],[
44,-59],[6,33],[
71,-31],[66,-36],[14,-94],[
15,-63],[44,-96],[
20,-1],[-18,-84],[
33,-112],[1,-5],[
-16,-30],[-15,64],[4,-123],
[-39,70],[-28,-41],[
10,143],[-39,93],[
-20,58],[-10,-144],[
10,65],[108,-53],[
64,4],[-42,78],[
-10,-64],[70,33],[-42,7],[
-16,-61],[-27,-121],[
67,-146],[-69,121],[
29,-43],[80,-81],[
-33,8],[33,39],[
54,-20],[71,-96],[25,-11],[
85,-91],[-28,45],[
54,-68],[86,-79],[
21,-71],[35,-59],[
-25,11],[97,-101],[
-79,87],[37,-60],[
-81,125],[-46,47],[
-13,21],[81,-125],[
-45,89],[64,20],[
0,54],[-90,65],[46,-89],[
10,17],[-19,-11],[
47,-65],[63,-120],[
-51,15],[-11,30],[
10,-17],[13,-14],[
17,-2],[13,-17],[
17,-18],[-13,-13],[-14,-12],
[-1,-21],[5,-8],[
-30,-1],[-15,-20],[
10,-3],[-9,2],[
14,12],[-30,-9],[-3,15],[
-20,5],[37,14],[
7,22],[6,16],[-36,-13],[
12,6],[22,-28],[
21,-15],[4,13],[-14,-5],[
37,-12],[-15,12],[
-21,0],[-37,-9],[
-163,119],[237,-79],[-97,24
],[-127,-31],[-16,21],[
45,-83],[-46,-63],[
-147,50],[-21,25],[
-149,14],[44,9],[
-79,48],[-117,16],[-119,32],
[-74,20],[20,-24],[
-128,33],[138,5],[
-65,35],[181,-111],[
98,-45],[57,-52],[
-181,111],[133,-66],[
1,-109],[52,-69],[
88,41],[-134,65],[
-9,-80],[-7,54],[
-78,36],[-172,124],[-11,46],
[-22,61],[6,-32],[
37,-32],[23,-39],[
-17,6],[21,-27],[
-5,-1],[-41,26],[4,-13],[
-26,1],[-27,35],[
-22,17],[46,-46],[10,0],[
42,-28],[-26,37],[
-26,23],[-4,21],[
40,-29],[31,-3],[32,-1],[
-39,31],[-3,6],[
-7,-13],[-6,-15],[-6,-4],[
3,-4],[51,-62],[
-11,14],[-12,22],[-33,27],[
179,-142],[-124,56],[
46,-9],[84,-8],[
-32,-6],[-24,84],[22,42],[
118,-50],[38,4],[
112,-25],[-44,34],[99,-45],
[114,-19],[51,-52],[
68,-42],[-38,-3],[
146,-47],[-96,22],[
77,-51],[-170,87],[
-74,11],[-39,10],[
168,-87],[-102,66],[
-2,98],[-55,79],[
-89,-5],[102,-66],[-47,57],
[14,-42],[87,-45],[
157,-100],[-22,-79],[
-22,-16],[17,10],[
-12,16],[-11,49],[
42,-18],[10,16],[
17,-36],[44,-55],[19,-21],[
35,-11],[21,-70],[
35,-58],[-35,48],[
-16,-9],[-44,55],[
27,-82],[2,-1],[
-8,-34],[-40,91],[-51,43],[
-44,31],[39,-90],[
-1,21],[48,-5],[
30,16],[-12,27],[-1,-22],[
-13,78],[-4,-16],[
5,-44],[28,-78],[
110,-47],[-55,37],[17,-10],
[52,-14],[-16,-23],[
-30,54],[7,16],[
57,-12],[3,26],[51,-5],[
-38,24],[49,4],[
48,15],[40,-48],[44,-22],[
-3,-27],[71,7],[
-53,14],[46,-15],[-78,10],[
-18,-13],[-2,-9],[
78,-10],[-54,28],[
-22,56],[-43,37],[
-44,-13],[57,-28],[
-23,0],[10,-17],[
47,-7],[74,-21],[-99,4],[
92,10],[-30,-10],[
-36,-46],[-14,26],[
52,-44],[6,-44],[
-58,-21],[1,-12],[-48,-40],
[27,13],[-35,-14],[
-34,-44],[-60,5],[
-36,-12],[-1,12],[
-46,-42],[45,39],[
-36,-8],[79,13],[
28,16],[19,-3],[-80,-11],[
64,2],[46,-69],[
48,-24],[17,58],[-63,-3],[
14,-22],[-22,27],[
-36,-14],[-84,1],[
-44,-29],[-141,160],[
67,-74],[107,-57],[
47,-28],[14,1],[
81,-34],[40,-75],[-36,-26],
[76,-82],[-27,-11],[
-36,-26],[22,-61],[
93,-56],[20,-17],[
37,26],[-6,-46],[
-91,65],[-13,-8],[13,94],[
-20,80],[2,61],[
-13,-94],[-33,64],[69,-28],
[29,-3],[-54,31],[
31,-62],[121,-24],[
-37,4],[-11,-22],[
-18,-84],[75,-135],[
-105,21],[46,1],[
48,12],[-19,33],[16,31],[
23,38],[83,-56],[
52,-49],[82,-27],[5,1],[
67,-83],[92,-57],[
16,14],[22,-25],[
-53,47],[95,-87],[-58,6],[
31,-51],[-123,122],[
-82,44],[-55,38],[
126,-124],[-59,52],[
33,56],[-7,54],[
-54,11],[61,-52],[-26,98],[
-1,-35],[48,-57],[
107,-119],[95,-114],[
-69,129],[23,-45],[
86,-81],[-26,-18],[
6,54],[49,-22],[
71,-77],[5,20],[85,-76],[
-53,51],[50,-35],[
77,-45],[44,-96],[
50,-53],[-7,-17],[
95,-60],[-85,85],[
49,-44],[-76,83],[
-29,26],[0,6],[
75,-84],[-56,80],[39,28],[
-20,51],[-93,48],[
54,-81],[14,-19],[
-12,-10],[52,-44],[
65,-86],[-9,44],[
-122,53],[53,-28],[64,19],[
54,-35],[-34,9],[
30,11],[30,0],[-39,-9],[
44,5],[-20,-36],[
-32,19],[-4,12],[94,-13],[
17,22],[37,9],[
-25,38],[-55,-14],[-9,28],[
3,3],[-8,25],[
1,33],[-1,-5],[-37,2],[
-5,13],[-7,-12],[
-4,-42],[38,-3],[72,-10],[
-11,-3],[-11,22],[
4,-7],[23,-133],[
-73,-19],[39,14],[7,34],[
-17,61],[40,1],[
18,40],[57,-52],[68,-74],[
55,-20],[36,-13],[
55,-103],[76,-71],[
-24,59],[-4,-16],[
-69,75],[71,-110],[
-24,-10],[9,-53],[
-102,135],[-89,58],[
-72,48],[103,-135],[
-33,38],[51,27],[
20,40],[-34,23],[30,-38],[
-30,124],[-4,-35],[
30,-66],[86,-126],[
-199,149],[146,-94],[
-52,26],[-113,33],[
30,21],[29,-98],[
-36,-32],[-133,63],[-27,-16
],[-130,39],[60,-42],[
-104,41],[-122,19],[
-74,83],[-80,51],[
27,16],[-158,43],[
120,-41],[-86,51],[
176,-91],[70,-10],[
28,-8],[-175,91],[
116,-81],[1,-106],[
65,-86],[106,3],[
-115,81],[32,-38],[-10,39],
[-94,45],[-163,105],[
-71,-11],[-4,103],[
8,-49],[38,-76],[
8,-7],[35,-20],[44,-52],[
-16,-53],[-25,-6],[
8,-73],[-8,13],[
-37,-12],[-10,-53],[14,-46],
[-6,-22],[25,5],[
-26,-43],[-23,71],[
-23,-9],[58,45],[
17,42],[26,17],[-58,-46],[
25,37],[61,-55],[
39,-14],[-23,55],[-20,-39],
[70,-44],[-31,23],[
-23,-17],[-65,-32],[
-23,-20],[-75,-8],[
38,2],[13,40],[
22,19],[6,-11],[14,26],[
23,-12],[13,-47],[
28,4],[21,-34],[
-4,-35],[17,-25],[21,43],[
-7,14],[-14,47],[
-1,-28],[-18,-25],[-14,-4],
[-26,53],[-41,39],[
-33,38],[28,-55],[
-16,3],[21,7],[
16,1],[2,-14],[18,-4],[
20,59],[-7,-13],[
-5,-14],[23,-49],[-67,146],
[69,-121],[-29,43],[
-80,81],[32,-8],[
-34,-39],[-54,20],[-71,96],
[-25,11],[-85,91],[
28,-45],[-54,68],[
-86,79],[-21,71],[
-35,59],[25,-11],[
-97,101],[79,-87],[
-37,60],[81,-125],[
46,-47],[13,-21],[
-81,125],[46,-89],[
-64,-20],[0,-54],[
90,-65],[-45,89],[
-10,-17],[19,11],[
-47,65],[-63,120],[
-43,7],[48,-92],[
-17,40],[-65,53],[-7,40],[
18,-32],[-30,21],[
-29,25],[30,-33],[
-39,35],[44,-22],[
-3,-21],[-14,-3],[
-56,75],[-34,21],[
-30,32],[-23,-13],[
55,-45],[-22,0],[
8,-2],[-11,-3],[-24,3],[
-8,2],[30,-33],[
-3,-10],[19,-11],[41,-7],[
-30,33],[-38,52],[
7,-4],[-17,-3],[
-9,7],[72,-134],[-140,127],
[62,-49],[107,-52],[
-5,-2],[16,45],[
65,-1],[93,-91],[17,-25],[
111,-79],[-30,21],[
47,-66],[91,-72],[
62,-59],[44,-46],[
-17,26],[94,-88],[
-105,65],[36,-50],[
-99,135],[-64,63],[
-28,44],[100,-135],[
-72,88],[58,35],[
-5,52],[-90,37],[70,-86],[
33,37],[-20,-19],[
47,-58],[83,-133],[
-125,-9],[28,57],[
0,-32],[-4,-50],[
9,22],[60,-52],[36,-49],[
-42,-48],[-6,-35],[
-19,-63],[26,-3],[
-49,-35],[-24,-69],[
-27,4],[-35,-11],[
7,35],[-51,-66],[
13,51],[-46,-11],[79,58],[
10,54],[9,29],[
-79,-57],[52,23],[75,-80],[
65,-27],[2,65],[
-51,-21],[61,-14],[-35,23],
[-43,-25],[-86,-39],[
-87,120],[155,-111],[
-66,42],[-106,30],[
-1,8],[0,-51],[
-59,-12],[-99,76],[-15,23],[
-113,59],[33,-12],[
-50,58],[-91,54],[
-74,50],[-48,37],[
15,-23],[-94,69],[
108,-46],[-40,42],[
110,-121],[66,-55],[
32,-44],[-110,120],[
81,-77],[-41,-48],[
15,-51],[84,-17],[
-81,76],[-29,-41],[
14,26],[-50,48],[
-97,122],[-6,-6],[-35,-18],
[20,6],[3,31],[
12,10],[-1,-4],[1,20],[
11,2],[10,-24],[
10,10],[13,-19],[2,-14],[
7,-4],[7,31],[
-2,8],[-9,23],[0,-9],[
-4,-23],[-5,-2],[
-17,20],[-21,16],[-21,21],[
18,-19],[-10,-3],[
1,7],[6,-1],[
5,-13],[9,4],[2,36],[
1,-12],[0,-5],[
16,-19],[-91,-104],[14,97],[
4,-41],[17,-88],[
-21,43],[88,-37],[55,-55],[
-8,-99],[23,-49],[
18,-108],[22,23],[
-11,-86],[28,-119],[
-40,-17],[-25,-43],[
-23,49],[7,-136],[
-13,92],[-27,-51],[
28,133],[-21,77],[
-6,35],[-29,-134],[
36,66],[114,-68],[
69,6],[-42,106],[
-35,-67],[47,13],[-41,15],[
-16,-68],[-47,-108],[
81,80],[50,-121],[
-34,55],[-54,74],[
-6,-21],[-64,25],[
-67,45],[-10,93],[
-3,48],[-42,102],[
-8,-8],[23,68],[
-27,105],[-9,26],[9,34],[
3,-48],[-1,110],[
43,-82],[25,37],[-22,-128],
[26,-86],[7,-51],[
22,128],[-11,-67],[
-103,56],[-59,-2],[
46,-80],[10,67],[
-76,-9],[43,-11],[16,54],[
37,108],[-46,27],[
-46,36],[24,-21],[
26,-2],[31,-11],[
0,-13],[22,-9],[-3,-8],[
-22,-14],[10,-12],[
0,-20],[-34,4],[
-14,-11],[35,-1],[-4,10],[
22,14],[-33,4],[
-18,4],[-20,13],[30,12],[
2,26],[4,24],[
-30,-12],[0,3],[16,-19],[
16,-17],[4,-4],[
0,-3],[52,-10],[-15,7],[
-21,7],[-28,-8],[
369,-410],[-257,133],[100,-24
],[179,-49],[-99,36],[
7,167],[67,81],[
267,-164],[128,-35],[257,-100
],[-64,85],[246,-177],[
288,-114],[60,-92],[
129,-122],[-128,35],[
354,-202],[-207,81],[
162,-155],[-398,287],[
-198,62],[-110,42],[
398,-286],[-209,182],[
53,199],[-88,194],[
-218,46],[209,-180],[
-118,181],[14,-96],[
196,-152],[355,-300],[
-13,-115],[-145,-58],[
74,30],[5,103],[
17,76],[32,-18],[17,76],[
68,-38],[74,-121],[
68,11],[61,-62],[
37,-121],[76,-74],[2,123],[
-17,17],[-76,121],[
46,-109],[-26,-63],[
-13,-41],[-113,158],[
-121,86],[-105,86],[
116,-161],[-44,18],[
51,36],[33,28],[
-9,-14],[43,-19],[-10,182],
[-4,-50],[14,-62],[
98,-146]],
[[522,-621],[-550,312],[
226,-89],[366,-85],[
-97,32],[-2,253],[
161,123],[448,-293],[
158,-91],[453,-183],[
-117,88],[341,-292],[
456,-204],[201,-155],[
209,-173],[-161,85],[
515,-322],[-400,146],[
224,-229],[-603,504],[
-324,160],[-170,127],[
603,-508],[-350,305],[
120,301],[-114,283],[
-358,57],[364,-314],[
-68,276],[-8,-158],[
287,-239],[538,-518],[
326,-120],[-265,-187],[
97,96],[35,237],[
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[200,71],[99,-44],[
138,169],[2,-67],[
184,-53],[153,97],[
80,122],[78,34],[
-96,41],[201,40],[-91,-192],
[111,-20],[-353,50],[
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353,-44],[-196,-23],[
-131,246],[-133,106],[
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135,-10],[350,-79],[
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56,-35],[-94,-34],[
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-51,42],[-126,180],[
24,-74],[-74,140],[
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-39,112],[103,-243],[
79,-106],[25,-49],[
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-146,6],[-35,-80],[
146,-144],[-45,156],[
-31,-39],[47,9],[
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[-132,30],[54,-7],[
60,26],[6,2],[
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25,-26],[85,-7],[
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52,-2],[35,-11],[
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35,-26],[-113,80],[
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113,-80],[-74,38],[
8,61],[-24,43],[
-49,-19],[72,-37],[-4,66],[
4,-32],[44,-29],[
105,-84],[172,11],[-106,-7],
[31,8],[61,44],[
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80,41],[-14,49],[
60,61],[-56,1],[57,49],[
42,84],[90,-40],[
64,7],[13,-49],[71,90],[
-65,-46],[63,18],[
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-4,-18],[109,56],[
-92,-6],[-89,108],[
-89,37],[-26,-87],[
93,6],[-34,-2],[
32,-32],[59,33],[118,30],[
179,-112],[61,14],[
-44,11],[13,-65],[
-83,-6],[-10,74],[
-20,-2],[51,-21],[
38,64],[28,-16],[
-47,84],[106,-9],[75,12],[
-35,-82],[46,-57],[
-38,-64],[130,-18],[
-21,50],[81,-48],[
-106,-2],[-5,-60],[
13,-61],[107,2],[
-39,42],[-33,73],[-65,71],[
-66,29],[39,-42],[
-105,-18],[23,-15],[
81,-29],[99,-12],[
-261,145],[66,46],[
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66,-5],[49,-105],[
31,-79],[-122,1],[
-68,-27],[-85,-40],[
38,-42],[-151,34],[
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-182,11],[60,27],[-105,51],
[221,-31],[74,50],[
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97,-99],[69,41],[
-110,33],[137,-84],[-45,58],
[-116,33],[-212,54],[
70,-166],[28,-10],[
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-70,59],[53,19],[
1,11],[43,-60],[78,-29],[
33,-44],[18,44],[
86,-91],[84,-70],[-75,8],[
6,-52],[-77,29],[
107,-119],[-3,35],[36,-74],
[-103,110],[-60,19],[
-41,0],[103,-110],[
-14,53],[43,29],[
4,59],[-52,62],[14,-52],[
-82,83],[4,-22],[
52,-75],[81,-102],[55,-63],
[158,6],[-77,7],[
-37,-92],[-81,12],[
32,17],[-23,-44],[
-25,-20],[26,54],[
-38,-37],[-15,81],[
49,-2],[16,-12],[
-91,-63],[3,-52],[-23,-56],
[53,-31],[37,69],[
32,-37],[0,-20],[
37,-52],[39,-66],[-2,22],[
35,24],[0,-4],[
-15,30],[-26,68],[-34,-23],[
-79,-52],[7,15],[
28,-23],[-8,21],[94,50],[
-104,-46],[37,20],[
27,86],[34,-37],[
-77,44],[-19,62],[50,57],[
-14,15],[35,77],[
-22,-35],[20,44],[9,78],[
76,16],[34,34],[
14,-15],[20,88],[-37,-77],[
29,33],[-69,-55],[
-20,-30],[-19,2],[
69,56],[-66,-32],[
-75,75],[-57,9],[
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27,-26],[26,41],[
81,35],[209,-208],[-168,92],
[67,-25],[118,-29],[
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45,44],[154,-87],[55,-11],[
150,-54],[-46,42],[
129,-82],[152,-50],[
59,-63],[80,-65],[
-55,12],[189,-93],[
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-56,27],[216,-148],[
-126,101],[23,112],[
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-60,23],[31,-33],[
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-29,45],[54,-40],[
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-128,142],[59,-73],[
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76,-37],[-59,73],[
24,-86],[6,34],[
-56,72],[-107,137],[76,-3],
[116,-48],[-63,31],[
-47,-22],[-52,-5],[
-12,25],[-45,-6],[
-17,30],[12,58],[
-37,22],[-18,47],[39,32],[
-2,42],[-55,-32],[
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36,31],[40,7],[
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24,-66],[14,69],[
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35,-28],[118,-66],[
41,-15],[40,6],[
17,-9],[-107,43],[8,-1],[
-25,66],[-21,54],[
3,51],[24,-64],[
-61,56],[30,13],[-5,9],[
-56,-2],[61,-54],[
98,-24],[-26,-8],[
9,-9],[23,-66],[
-232,96],[224,45],[-84,-33],
[-76,-116],[-6,9],[
85,-100],[8,-124],[
-156,-15],[-45,19],[
-130,-76],[31,30],[
-116,34],[-121,-46],[
-102,-25],[-74,-11],[
48,-19],[-148,-20],[
106,88],[-83,18],[
238,-52],[113,7],[
80,-26],[-239,55],[
150,-14],[68,-169],[
92,-80],[54,108],[
-153,17],[69,-131],[
-39,75],[-98,13],[
-236,78],[126,-180],[
-134,159],[51,-53],[
121,-83],[-31,-6],[
13,70],[70,-9],[
114,-112],[25,-6],[131,-97],
[-55,51],[78,-78],[
125,-80],[65,-99],[
62,-66],[-26,6],[
138,-104],[-126,98],[61,-69
],[-133,151],[-67,53],[
-21,29],[131,-151],[
-87,111],[61,54],[
-22,77],[-124,56],[
88,-114],[15,20],[
-20,-26],[73,-73],[
114,-151],[-330,211],[
153,-95],[-47,18],[
-135,46],[70,30],[
56,-156],[-24,-54],[
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-164,32],[93,-80],[
-173,41],[-175,-1],[
-79,124],[-121,79],[
49,49],[-245,41],[
151,-50],[-140,73],[
268,-89],[89,22],[
31,22],[-265,90],[
159,-100],[30,-168],[
113,-131],[147,11],[
-164,104],[96,-49],[
-27,56],[-152,56],[
-250,115],[84,29],[
-4,-52],[-5,25],[
-6,39],[-5,-21],[-48,34],[
-33,35],[18,47],[
-2,33],[-1,55],[-17,1],[
29,40],[2,63],[
14,-2],[23,12],[2,-33],[
25,65],[0,-44],[
29,16],[-44,-65],[4,-49],[
2,-29],[42,65],[
-29,-27],[-63,54],[-48,12],
[10,-53],[30,27],[
-48,-1],[27,-13],[
25,28],[50,50],[
-94,44],[-59,77],[32,-39],[
38,-19],[48,-18],[
7,-28],[41,-28],[
-15,-24],[-42,-20],[14,-36],
[-6,-26],[-67,4],[
-27,-28],[56,-14],[
-9,15],[38,22],[
-62,-4],[-26,24],[-37,20],[
69,21],[11,49],[
12,37],[-68,-26],[12,9],[
42,-49],[37,-33],[
1,11],[-11,-11],[
98,-33],[-30,18],[-40,8],[
-65,-15],[-51,-18],[
30,195],[-15,-83],[
73,-163],[-8,-40],[
36,0],[65,-104],[
-20,-83],[-54,43],[16,-122],
[-55,60],[-42,9],[
-6,-60],[33,-138],[
13,-49],[51,-43],[
-16,-39],[-46,146],[
-6,-14],[91,29],[
56,29],[70,-7],[-89,-32],[
27,69],[70,-70],[
28,-7],[-61,96],[-26,-72],[
95,-133],[-45,42],[
-15,-17],[-93,-22],[
-36,51],[-1,-9],[
2,0],[-7,14],[23,-10],[
-10,-14],[-3,-1],[
-19,19],[-20,1],[
-16,16],[3,-18],[-30,21],[
-29,16],[14,10],[
-10,20],[17,0],[-39,30],[
11,-16],[-18,23],[
38,-31],[15,-2],[
9,1],[-36,29],[11,-21],[
-8,-14],[6,-21],[
22,-17],[-13,20],[23,-16],[
-4,8],[-21,21],[
-30,29],[-254,178],[-71,88],
[48,-63],[30,1],[
119,-37],[10,-92],[
58,-55],[-81,3],[
-99,-42],[-34,-26],[20,-84],
[-171,45],[-118,-17],[
87,22],[-50,60],[
97,42],[-194,44],[-1,2],[
-109,75],[203,-22],[
55,78],[36,68],[
-200,18],[62,-31],[55,-126],
[86,-106],[63,-8],[
-61,31],[201,-76],[
-53,47],[-119,51],[
-188,38],[-119,148],[
120,-107],[-47,35],[
-98,51],[25,2],[
-5,-61],[-48,-9],[-102,82],
[-27,9],[-109,63],[
40,-34],[-74,64],[
-106,55],[-53,65],[
-52,49],[29,-9],[
-120,78],[100,-60],[-55,56],
[125,-118],[64,-38],[
26,-26],[-127,120],[
79,-84],[-36,-61],[
26,-67],[96,-30],[
-80,85],[1,-36],[
9,29],[-66,58],[-111,122],[
-9,-19],[-73,92],[
34,-42],[64,-38],[
20,-19],[3,10],[
44,-20],[26,-42],[-20,-6],[
44,-47],[-22,4],[
-14,-9],[17,-31],[54,-44],[
17,-15],[21,6],[
4,-20],[-53,40],[0,-7],[
2,46],[-7,36],[
6,29],[-3,-44],[-22,38],[
31,-9],[8,3],[
-34,18],[21,-37],[60,-22],[
-21,2],[0,-12],[
-4,-43],[221,-278],[-230,175
],[91,-55],[171,-72],[
-43,5],[8,111],[
85,29],[192,-145],[60,-28],
[204,-107],[-63,54],[
141,-126],[199,-102],[
92,-100],[93,-87],[
-62,28],[226,-150],[
-182,94],[100,-103],[
-245,225],[-131,75],[
-61,51],[249,-229],[
-149,150],[66,117],[
-46,125],[-172,48],[
150,-150],[-12,92],[
-15,-55],[123,-108],[
218,-231],[8,5],[
-35,17],[17,-8],[21,5],[
11,-10],[-11,8],[
8,6],[12,-1],[-9,-1],[
16,0],[-8,-8],[
-3,4],[3,4],[25,-5],[
10,3],[8,0],[
2,6],[-20,0],[2,5],[
-8,4],[-6,8],[
-2,7],[8,-4],[-14,2],[
0,6],[-3,-1],[
-6,-11],[15,-5],[13,2],[
-2,-3],[3,4],[
9,-6],[-120,98],[105,71],[
-40,-40],[-9,-86],[
11,-31],[20,-41],[
13,-82],[-88,-1],[
-63,40],[-66,-45],[
-13,20],[-85,59],[
-83,-1],[-11,-58],[
-23,-2],[63,-42],[
-98,33],[34,66],[
-44,31],[156,-67],[90,-8],[
75,-25],[-158,69],[
76,-10],[24,-93],[
37,-54],[26,45],[
-72,7],[68,-125],[-27,52],[
-59,32],[-150,75],[
243,-86],[22,-14],[
-33,26],[22,-23],[
-74,-28],[-55,102],[
-38,31],[76,13],[
30,84],[43,27],[-66,74],[
122,21],[81,61],[
0,-81],[70,-42],[-31,-83],[
147,34],[-35,11],[
103,-31],[-145,-43],[
-10,-86],[6,-70],[
145,42],[-74,24],[
-79,116],[-102,79],[
-63,-21],[74,-24],[
-123,-14],[45,-31],[
100,-5],[144,17],[
9,19],[121,-128],[
-55,59],[-96,45],[
-36,32],[3,-16],[
-62,21],[-42,54],[33,10],[
-67,58],[32,4],[
21,10],[-23,37],[-89,58],[
-25,14],[-32,-10],[
-4,20],[81,-48],[
1,3],[1,-60],[13,-52],[
-7,-42],[-3,62],[
37,-49],[-39,5],[-8,-3],[
46,-14],[-37,48],[
-90,26],[29,-3],[
0,12],[0,59],[-94,241],[
-74,-77],[36,13],[
-14,127],[113,-59],[
-85,-34],[-25,38],[
-49,119],[-83,4],[
-49,115],[10,-101],[
-109,116],[-117,116],[
94,68],[-18,98],[
84,-5],[-151,175],[24,-125],
[-56,110],[105,-152],[
48,-24],[16,19],[
-104,153],[6,-105],[-85,-13
],[-8,-85],[105,-133],[
-8,107],[83,-37],[
12,10],[-72,109],[
-74,140],[11,-81],[
9,24],[-4,-7],[
6,-34],[-26,25],[37,1],[
16,-13],[17,-44],[
30,-17],[19,-40],[
8,21],[30,-49],[
36,-47],[-30,-7],[-3,-28],[
-30,17],[42,-68],[
-7,36],[10,-36],[
-29,66],[-24,22],[-15,8],[
34,-66],[-2,37],[
36,-3],[12,24],[-32,45],[
-2,-33],[-14,26],[
-9,-2],[16,-40],[
20,-60],[-121,262],[21,-116
],[-6,33],[-66,119],[
92,-48],[-72,-53],[
-51,22],[-92,137],[
-78,19],[-97,123],[
21,-86],[-118,128],[
-143,124],[41,76],[
-38,100],[79,-19],[
-173,182],[73,-122],[
-65,112],[144,-189],[
77,-49],[31,-9],[
-146,191],[46,-126],[-91,-37
],[0,-97],[129,-116],[
-48,126],[54,-60],[
18,22],[-85,116],[
-112,180]]>;

return _LR;
