Impressum sizespos.g   Sprache: unbekannt

#############################################################################
##
#W  sizespos.g                GAP4 Package `RCWA'                 Stefan Kohl
##
##  List of positions of the orders of the groups generated by
##  3 class transpositions which interchange residue classes with moduli <= 9
##  in the list 'sizesset', cf. 3cts9-sizesset.g.
##  Unbound entries stand for infinite groups.
##
return
[,,[,[]],[,[],[]],[,[],[],[]],[,[],[],[],[]],
 [,[],[],[],[],[]],[,[],[],[],[],[,,7],[]],
 [,[],[],[],[,,,7],[],[,,,7],[]],
 [,[],[],[],[],[],[,7,,7],[],[,,,7,,,7]],
 [,[],[],[],[],[],[],[],[],[]],
 [,[],[],[],[,124],[],[,19],[,,,,,62],[],[,119,,,,,,,233],[] 
  ],[,[],[],[],[],[],[],[,,32],[],[],[],[]],
 [,[],[],[],[,57],[,,30],[,,,154],[,,30,,,10],[,,,292,,,154],
   [,,,435,,,288,,177],[17],[,51,,,,318,497,318],[,,35,,,,781]],
 [,[],[],[],[,497],[],[,642],[,,35],[,,,,642,,642],[],
   [,,,,,,,80],[,119,,,,,108,62],[,,62,,,,401,97],[]],
 [,[],[],[],[,112,,497],[,,30],[,10,,191],[,,191],
   [,,,,1904,,246],[,,,1034,,,32,,2682],[,,,,,,,292],[,62,,,,318,35,154],
   [,,35,,534,,154,292],[],[]],
 [,[],[],[],[,,,642],[],[,,,642],[,,35],[],[,,,449,,,642],
   [],[,,,,365,,,62,,923],[],[,,42,,,,49,,,,,7],
   [,,70,,25,,25,70,,,,7],[,,42,,,,10,365,,,,7]],
 [,[],[],[],[],[],[,,,869],[,,191,,,30],[,,,1115,2889],
   [,,,1397,,,869,,1115],[],[],[,,,,1061,,,62],
   [,,230,,,117,497,117,,2176,,,7],[,1983,365,,,,534,42,,,,,7],
   [,1729,230,1471,154,117,191,230,2176,1836,,,7],[]],
 [,[],[],[],[],[,,62],[,,,1274],[],[],[,56,,742],[,,,,256],
   [,35,,,292,35,218,,,401],[,,19,,,,1291],[],[,,62,,365,,,,,,7,7,7],
   [],[7,,62,,,,534,,,,,7,,,7],[,1115,154,,,318,389,,,,,,7,,7]],
 [,[],[],[],[,2306],[],[],[,,32],[],[],[,,,,,,,39],
   [,119,,,,,,19],[,,39,,,,,39],[],[],[,,62,,534,,,,,,7,7,7],
   [,,97,,,,,62,,,,7,,,,7],[,5736,292,,,,,35,,,,,7,,,7],[]],
 [,[],[],[],[],[],[],[,,128],[],[],[],[],
   [,,62,,1264,,,62],[,,35,,,,781,,,,,,7],[,,,,,,401,97,,,,,7],
   [,,,,,,154,292,,,,,7],[],[,,,,1061,,,62,,,,,7,7,7,7],
   [,,62,,,,1291,,,,,,7,,7,,,7],[,,292,,1264,,,39,,,,,7,,,7,,7]],
 [,[],[],[],[,,,2889],[,,30],[],[,,35],[,,,1115,,,631],
   [,,,617,,,375],[,,,,,,,39],[,62,,,,318,497,62],[,,35,,,,781],[],
   [],[524,292,24,731,318,117,16,842,1075,1129,7,7,7],
   [,,42,,,,49,,,,,7,,,,7],[,,230,2176,292,117,497,230,1471,1471,,,7,,,7],
   [],[,1061,62,,1061,,,62,,,7,7,7,,,7,7,7],
   [,,,,,,781,,,,,,7,,,7,,7,,7]],
 [,[],[],[],[],[],[],[],[],[,,,,,,19],[15,,,,1247],[],[],
   [46,,,,,,,,,,95],[],[287,,,,1186,3705,452,,,715,662],
   [30,,,,778,,856,,,439,,,,420],[287,,,,,,,,,9986,,,,,,872],
   [30,,,,328,1521,730,,,1846,303,,,,,,35],[],
   [,,,,9858,,13601,,,,,,,,,848,,715,2526],
   [335,,,,,,,,,,,,,,,908,1947,1462,,,769]],
 [,[],[],[],[],[],[],[,,,,,19],[],[],[],[],[],
   [,,,,,218,,218],[,,,,,,,119],[,,,,,218,,451],
   [,,,,,,,102,,,,,,107,119,124],[,,,,,,,58,,,,,,144,57,233],
   [,,,,,119,,,,,,,,,53,,85,85],[,,,,,,,60,,,,,,,,79,150],
   [,,,,,,,1098,,,,,,902,1115,957,,,439,575],
   [,,,,,58,,79,,,,,,,,85,60,273,,85,482],[]],
 [,[],[],[],[,9],[],[,9],[],[,,,,19,,19],[,9,,,,,19,,19],
   [],[,13,,,328,689,53,,206,261],[],[,156,,,221,,1092,,587,,,53],
   [,46,,,1115,,1115,,617,,,85],[,15,,,899,2969,102,,2948,1798,,53],
   [,,,,1370,,1370,,,908,,249,,634,469,420],
   [,54,,,2786,,1739,,1739,,,,,1503,1866,1050],
   [,42,,,1198,1828,548,,,150,,53,,,273,,268,1050],
   [,35,,,2674,,,,,,,119,,,,,1505,5511],
   [,,,,15987,,22757,,,,,,,963,1045,389,,3625,449,689],
   [,54,,,,,,,1136,767,,85,,,,288,702,2176,,996,2889],[],[]],
 [,[],[],[],[,10,,10],[,,10],[,10,,10],[,,10,,,10],
   [,,,10,10,,10],[,10,,10,,,10,,10],[230,,,,,,,76],
   [,165,,,,177,485,44,1247,1257],[,,217,,,,,92],
   [114,627,18,668,627,40,146,40,668,668,262,57,361],[],[],[],
   [,5552,2865,7186,6954,105,4813,46,8630,7726,,,715],
   [,439,44,,,177,,,,119,171,19,171,,,,,344],
   [,,92,,,,,217,,,,171,244,,,,,1521],
   [,,1733,,,,,92,,,,,244,361,,,,715,171,318],
   [,3598,46,7726,6954,105,812,1322,7186,7726,1122,344,2354,,,,,,,715,1521],
   [7,,,,17,,17,,,17,57,,,177,,,,2682,,,,2682],
   [,,,,,17,,17,,,,,,70,,,,885,53,150,,74],
   [,7,,,17,,17,,17,17,,57,,177,,,,2513,154,869,4571,1025]],
 [,[],[],[],[,10,,10],[,,10],[,10,,10],[,,10,,,10],
   [,,,10,10,,10],[,10,,10,,,10,,10],[917,,,,4019,,,76],
   [,46,,,444,204,136,62,299,563],[,,119,,12869,,,62],[],
   [,362,142,,,,,142,362,,197,95,262],[],
   [969,,720,1146,259,,,720,,2698,,154],
   [,2032,563,1560,1494,40,439,18,2032,1560,,,56,,83],
   [969,,62,1657,1061,204,444,,,119,35,19,53,,95,,154,39],
   [,,92,,13840,,,119,,,963,128,449,,,,8255,154],
   [,,,,,,6389,92,,,,,389,,197,,,62,35,963],
   [,4978,80,6285,5092,187,2688,144,5947,5844,955,849,1050,,,,6443,1836,,2679,
     955],[10,,,,25,,25,,,25,344,,,,,,730,504,401,,1866,1398],
   [,,,,,25,,25,,,,,,,57,,598,154,53,150,2141,273],
   [,10,,,25,,25,,25,25,,35,,,154,,790,628,,1352,,1132],[]],
 [,[],[],[],[],[],[],[,,318],[,,,19],[],[52,,,,,,,762],
   [,,,,,,,379],[,,548,,,,,790],[125,,162,,,,,,,,79,304,71],
   [,695,635,,,,,,864,,401,344,311],[,502,938,1020,,,,,2185,,492,333,311],
   [,,,649,,,,1206,,,,179,,304,333,344],[,,,,,,,333,,,,,191,336,344,333],
   [,1709,379,,,,,,,,401,344,311,,57,,333,344],
   [,1828,790,,,,,439,,,439,311,62,,,191,311,311],
   [,,1423,,,,,534,,,,,439,71,375,375,,191,375,71],
   [,,333,,,,,2865,,,439,344,311,,,171,333,344,,191,375],
   [7,,,,,,,,,,154,,,69,,938,218,,,,1439],[],
   [,5,,,,,,,10,,,,,1657,401,218,344,,730,848,2461],
   [7,17,,17,,,,,17,,154,344,,69,,,,938,218,,638,1034,7,,7],
   [,25,,25,,,,,25,,1324,246,617,,256,,,430,344,,497,1398,7,,7]],
 [,[],[],[],[],[],[],[,,19],[],[],[],[,,,,,,,102],[],
   [,,119,,,,,,,,,171],[],[,,119,,,,,,,,,171],
   [,,357,,,,,357,,,,642,,849,,1107],[,,,,,,,52,,,,,,642,,642],
   [,,102,,,,,,,,,35,,,,,642,375],[],[],[,,52,,,,,,,,,375,,,,642,332,147],
   [],[,,,,,,,10,,,,,,62,,62,108,,62,,,30],[],
   [,,17,,,,,17,,,,165,,230,,,,90,165,,,90,,7],
   [,,25,,,,,25,,,,165,,,,,,30,165,,,534,,7],[]],
 [,[],[],[],[,9,,9],[],[],[,,303],[,,,19,9],[,19,,19,,,,,19],
   [2526,,,,206,,,5452],[,261,,,80,,,261,1343,240],[,,372,,249,,,848],
   [,221,,1198,156,,,,,587,,401],[,864,7069,,275,,,689,864,,1353,,2658],
   [,912,6037,840,233,,,,2726,1253,,458,497],
   [1304,,1274,649,275,,,,,649,,288,,634,333],
   [,6702,,1380,54,,,441,4679,1380,,,365,712,,212],
   [1304,702,439,808,80,,,,,996,111,288,1614,,472,,249],
   [,2557,1031,,249,,,372,,,6197,,246,,,497],
   [,,,,249,,,7255,,,,,389,963,,1462,,1243,,389],
   [,,761,4679,54,,,7312,1380,676,2889,1846,599,,,389,1806,389,,365,2280],
   [10,,,,5,,,,,10,233,,,1512,,504,246,,233,,4571],[],
   [,5,,,5,,,,10,10,,171,,124,401,389,344,1243,418,869,5511],
   [,17,,17,7,,,,17,17,559,119,4837,83,,,,575,344,,1628,2513,7,,7],
   [10,25,70,25,10,,,,25,25,344,124,352,,256,,485,504,246,556,1866,1243,7,,
     7],[],[]],[,[],[],[],[],[,,19],[],[],[],[],[],
   [,,,,,119],[,,60],[,,119,,,,,,,,,171],[,,119,,,,,,,,150,53,150],
   [,,102,,,,,,,,,35],[,,102,,,,,,,,,85,,849,119,224],
   [,,330,,,58,,,,,,,85,449,85,83],[],[],[,,275,,,,,,,,,,79,,150,,,85],
   [,,246,,,,,,,,996,191,996,,,730,333,273,,,996],[],
   [,,,,,10,,,,,,,,62,19,53,35,35,,,702,191],[],
   [,,17,,,17,,,,,119,53,150,230,,,,74,,,150,885,,7],
   [,,25,,,25,,,,,119,53,53,,57,,598,22,,,150,1156,,7],[],
   [,,10,,,,,,,,,62,,19,,,108,30,,,,,,7,,7,7],[]],
 [,[],[],[],[,39,,19],[],[,39,,19],[],[],[,39,,19,,,19],
   [],[,165,,,,1828,428,,,938],[,,,,2674,,1971],
   [,627,,608,418,,,,,1488,,218,318],[],
   [,,,,2052,,185,,,2516,1264,318,1215],[,,,439,856,,856,,,439,,,,164,,493],
   [,8164,,1136,,,,,,1136,,,996,249,,1370],
   [,379,,206,384,689,199,,,150,111,53,119,,,,79,85],[],
   [,,,,3738,,4995,,,,,,318,318,,389,,389,53],
   [,3598,,1739,2786,,712,,,,,1050,5511,,,2679,1471,2176,,,1264],[],[],
   [,7,,,10,165,10,,,10,,62,,128,,,311,1132,62,,317,1132],
   [,7,,17,17,,17,,,17,,35,1352,83,,,,1146,35,,,1146,,,7],
   [,,,25,25,70,25,,,25,418,246,389,,,,730,430,57,,365,2418,,,7],
   [,17,,10,,,,,,,,730,848,,,1398,246,,,,318,,,,7,7,7],[],
   [,17,,10,5,,,,,10,,,869,119,,996,246,,119,,1264,1243,,,7,7,7],[]],
 [,[],[],[],[,10,,10],[,,10],[,10,,10],[,,10,,,10],
   [,,,10,10,,10],[,10,,10,,,10,,10],[,,,,,,,76],
   [,62,,,1616,52,108,22,1611,2193],[,,76,,3859,,3220,92],
   [,2221,80,2310,2221,187,2492,187,2310,2310,780,273,1920],
   [,,151,,1264,,1264,151,,,,132],
   [,,80,5627,2346,187,66,2162,14880,,963,273,2030],
   [281,,128,,319,,376,128,,621,,46],
   [,3357,581,1919,1969,60,624,27,665,3458,,,96,,,599],
   [84,1492,22,938,488,52,1616,,,30,35,10,35,,132,,46,46],
   [,,92,,5304,,,76,,,,35,197,,,389,,497],
   [,,5842,,,,8714,92,,,,,197,3240,,1264,,96,35],
   [,2213,80,2140,1795,187,2014,1486,5745,1866,712,191,458,,,1156,,191,,288,
     288],[10,,,,25,,25,,,25,,,,1512,,3001,318,1904,318,,,389],
   [,,,,,25,,25,,,,,,769,218,849,449,497,39,150,3973,191],
   [,10,,,25,70,25,,25,25,,35,,1512,698,1264,1906,1904,83,869,,472],[],
   [13,13,13,13,13,13,13,13,13,13,199,85,303,,88,,1109,112,85,451,384,,7,
     7,7],[,25,,25,,,,,25,,,273,1471,1657,534,2176,534,497,273,1471,497,
     389,7,,7,,7],[,,25,,,,,25,,,,42,,1983,,2254,,49,42,,,534,,7,,,7],
   [13,25,,25,10,,,70,25,25,418,60,389,1350,534,2176,575,497,273,389,1471,
     389,7,,7,,7],[,,25,,,25,,,,,119,39,150,1983,218,1264,449,49,,,150,389,
     ,7,,,7,,7],[,,,25,25,,25,,,25,344,83,869,1729,,5511,,638,35,,,1243,,,
     7,,7,7,,7]],[,[],[],[],[,39,,39],[],[,19,,19],[,,303],
   [,,,19,39,,19],[],[],[,218,,,,,,522,649],[,,553,,,,3164,1695],
   [,741,,,627,,426,,1521,,,401,963],[,617,,,,,1115,5173,617,,,531,1045],
   [,912,,2106,,,379,12818,2425,,,702,4933],
   [833,,,908,,,1370,2078,,,,,,634,469],
   [,,,,6954,,1739,383,1739,,,,3625,955,1866,2822],
   [1365,938,303,,,,390,,,,,458,318,,,,458,1264],
   [,1031,1366,,,,,457,,,,458,449,,,869,769,1264],[],
   [,856,899,632,6954,,143,,2696,,,531,869,,,365,575,1471],
   [10,,,,17,,10,,,,,,,,,,311,,154],[],
   [,5,,,17,,10,,10,,,154,,318,318,389,288,,418,389,,365],
   [,17,,17,7,,17,,17,,,344,4571,177,,,,2513,119,1628,,575,7,,7],
   [13,25,,25,,,25,70,25,,,311,513,,154,,,628,119,513,,548,7,,7],[],[],
   [13,10,165,10,7,,,165,10,,,,451,199,401,1025,344,1243,,303,,365,7,,7,7,7 
    ],[],[,17,,10,17,,10,,,,,418,1352,119,,548,311,1132,,,,,,,7,7,7,,,7],
   [10,25,70,25,,,25,,25,,,288,556,1512,698,,842,1904,62,352,,365,7,,7,,7,,,
     7,,7]],
 [,[],[],[],[],[],[],[],[,,,,,,2544],[,,,,,,2839],
   [136,,,,,,,5283],[],[],[519,,,,,,,,,,121],[,,,,,,19928,13212,,,734],
   [],[,,,,,,21253,21968,,24878,,,,989,1075],[,,,,,23494,25659,,,,,,,1017],
   [,,,,,,21072,,,,486,,,,534,,,1645],[,,,,,,,3179,,,486,,,,,,,849],
   [,,,,,,,22877,,,,,,989,684,,,663,4160,1628],
   [17859,,,,,27927,26218,18135,,,,,,,,,6047,928,,996,429],
   [15,,,,,9288,901,,,1976,128,,,617,,,5035,,,,10535,14150],[],[],
   [152,,,,,8848,,8848,,3991,540,,,721,,,,18175,3841,15436,14304,22589,53],
   [,,,,,,910,,5146,5146,,,,,4212,,9027,1704,2790,21780,22452,25957,423],
   [52,,,,,,,,2395,,1017,,,1299,13227,,12424,16830,12424,15290,19979,22388,171,,,
     171,389],[,,,,,,,8736,,,,,,28020,,,25221,,16120,,,25213,,,,3535,5577],
   [],[,,,,,,,,,,13486,,,28029,19302,,24609,24457,,,22236,27439,,,,,,,5577],
   [,,,,,,2139,,,4183,8325,,,,,,12048,,4735,,25180,27559,,,,1017,439,676],
   [1852,,,,,,,,,,,,,20574,12272,,11847,12364,9886,,20888,22400,267,,,,303,599,,,,
     267],[1852,,,,,,1298,24218,3170,,,,,17578,17551,,18170,,6321,14604,,26900,
     182,,,389,246,,,,,796,275]],
 [,[],[],[],[,179,,2822],[,,234],[,,,79],[,,212,,,234],
   [,,,218,,,234],[,,,497,,,96,,191],[235,,,,,,,4698],[],
   [,,4094,,28362,,27513,3697],
   [375,2728,2493,4192,2959,5078,3073,5078,3738,3259,249],[],[],
   [,,,,17647,,,,,6249,,,,734],[],[,,,12868,8155,8318,,,,,,,9590,,,,796],
   [,,3697,,,,,4094,,,1233,,957],[,,,,,,,3417,,,,,759,486,,,,,,429],
   [,19871,5216,23052,22618,13504,20802,7713,25507,,808,,1233,,,,,,,790,617],
   [15,,,,,,2643,,,682,421,,,796,,,6794,,,,9895,17997],
   [,,,,,610,,1387,,,,,,796,,,3178,,6782,,27476,1345],
   [,179,,,517,27255,1315,,656,1264,,,,3116,,,16578,,6673,26863,27324,14275],
   [90,882,882,617,632,99,617,882,882,167,951,,16228,136,,,,,901,16228,7954,,
     102,102,218],[],
   [129,2852,,5859,,,,,4980,,1609,,,765,,,10061,,16860,,,20191,110,,1471,110],
   [,,1003,,,,,956,,,,,,2539,,,24901,,9810,,,8277,,46,,110],
   [,517,24881,1370,179,,,24283,1003,482,,,26530,2313,,,10110,,6862,,25297,15674,
     ,,112,110],[,,,,,1098,,,,,10303,,18294,2625,,,6723,,,,,13287,,169,,83,,,
     150],[,882,,580,291,27506,1098,,,,,,27491,1637,,,9347,,3107,,,21435,,,
     303,171,,493,,156],[],
   [,537,,,912,,429,,,,,,27676,3178,,,,,6089,,,10036,1264,,348,171,,,,303,,112],
   [22,,,,,2282,,,1291,,57,,,124,,,1115,,,,2354,1115,35,,,62,,333,,,703]],
 [,[],[],[],[],[],[],[],[],[,1080,,2544,,,,,2839],
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   [,,,,,,,,,,246,62,246],[5600,,,27712,,,,4477,,,,306,,497,389,365],
   [,,,,,,,3326,,,,,150,497,389,365],
   [5725,20761,,,,,,,,16450,392,218,344,,95,,389,389],
   [,22442,,,,,,4162,,,246,365,389,,,234,389,389],
   [,,,,,,,5056,,,,,401,497,246,62,,234,246,365],
   [,,,,,,,4747,,,430,246,344,,,401,389,389,,150,246],
   [30,,,,,,,,,1439,765,,,1291,,,13957,20293,11302,,10940,17958],
   [,,,,,,,,,,,,,17465,7728,13679,,21045,6157,14468,,10618],
   [,65,,,,,,,3163,1327,,,,22737,14531,10313,,27139,8448,17258,26046],
   [859,688,,,,,,,,4168,1002,4321,16557,878,,,,21575,4831,20092,16901,18745,449,,
     748],[,3961,,3510,,,,12640,11147,12700,9750,2885,8877,,11246,,,,3710,,
     9304,25651,642,9623,368],
   [183,718,,1976,,,,,2291,,241,3778,4075,120,3074,4572,3137,4578,3164,3585,
     1281,4835,221,,182,221,182],[],[],
   [,,,,,,,,,,11349,6527,9653,,,,12782,15468,,,14677,,,,,4464,8343],
   [,2868,,2181,,,,,,3087,20681,14157,21095,,,,,,5376,,12028,,,,534,748,401,267],
   [,,,10014,,,,,,617,9344,923,8228,,9319,4246,9966,11751,3208,12244,4107,9120,,
     ,497,,157,423,,,,299],
   [,1947,,5078,,,,,,,,15819,24963,23904,17156,17650,24705,28388,12230,16351,,
     20564,642,,1075,731,638,,,,,,299],
   [42,,,,,,,,2282,1291,119,,,154,472,,938,869,587,,,938,119,,,83,389,179,,,
     2015,,,497],[42,,,2282,,,,1291,,2329,119,,938,154,,,,,790,869,,,119,2015,
     2030,83,,179,,,,497,,,7]],
 [,[],[],[],[,49,,246],[,,449],[,497,,218],[,,234,,,497],
   [,,,306,392,,389],[,497,,197,,,306,,218],[588],
   [,1901,,,,,8434,4925,14085,15225],[,,,,,,27957,4795],
   [1155,5083,508,8911,5150,7799,7764,7799,8440,8098,638,,808],[],
   [,,4438,,,15537,7272,19659,,25916,,6047,928],[],[],
   [,3152,2945,17595,,14013,,,,4640,651,,1645],
   [,,3073,,,,,4112,,,458,,849,,,996],[,,6409,,,,27816,,,,,,551,808],[],
   [13,,,,842,6826,697,,,642,293,,,2419,,,,,,,22433],
   [,,,,,1398,,782,,,,,,1465,,5126,,,4744,17686],
   [,233,,,379,6806,575,,,497,,2700,,7715,,26437,,,3281,,20576],
   [481,94,352,548,84,1452,1494,1494,1494,548,1451,2271,14253,263,,,,,2271,,,,
     79,246,430],[742,,550,1282,2218,2060,1529,1529,2012,1129,9478,3862,
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