GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
############################################################################# ## #W chains.g GAP4 Package `RCWA' Stefan Kohl ## ## Data library of groups generated by 3 class transpositions which inter- ## change residue classes with moduli <= 6: part containing lists of chains ## of subgroups. ## ## This is a list of descending chains of length >= 3 of groups generated by ## 3 class transpositions. The groups are represented by their positions in ## the list 'grps'. ## ############################################################################# return [[5,3,23,1625],[5,3,23,3507],[5,3,23,3520,3507], [5,3,202],[5,3,218,202],[5,3,1625],[5,3,2429,3507], [5,3,2675,3507],[5,3,3507],[5,3,3520,3507],[5,3,9761], [5,3,10077],[5,3,17205],[5,3,17521],[5,4,268], [5,4,2479],[5,23,1625],[5,23,3507],[5,23,3520,3507], [5,26,23,1625],[5,26,23,3507],[5,26,23,3520,3507], [5,26,1291],[5,26,1297,1658],[5,26,1297,38530], [5,26,1625],[5,26,1658],[5,26,3502,3507], [5,26,3502,41069],[5,26,3507],[5,26,3517,3507], [5,26,3517,44904],[5,26,3520,3507],[5,26,38305,41411], [5,26,38529,45501],[5,26,38530],[5,26,41069], [5,26,41078,41069],[5,26,41078,41411],[5,26,41078,44904], [5,26,41078,45501],[5,26,41411],[5,26,44904], [5,26,45501],[5,199,202],[5,199,268],[5,199,328], [5,199,8715],[5,199,8962],[5,199,10854],[5,199,12747], [5,218,202],[5,221,202],[5,227,202],[5,227,218,202], [5,227,1297,1658],[5,227,1297,38530],[5,227,1658], [5,227,9749],[5,227,9759],[5,227,10110],[5,227,17193], [5,227,17203],[5,227,17554],[5,227,38530],[5,236,202], [5,281,268],[5,281,11043],[5,284,268],[5,284,11046], [5,289,268],[5,289,1625],[5,289,11051],[5,289,11064], [5,289,12030],[5,289,22481],[5,290,268],[5,290,1658], [5,290,11052],[5,290,11062],[5,290,12063],[5,290,22514], [5,299,268],[5,299,11061],[5,343,328],[5,343,12819], [5,346,328],[5,346,12822],[5,351,328],[5,351,1625], [5,351,12827],[5,351,12840],[5,351,13921],[5,351,19232], [5,352,328],[5,352,1658],[5,352,12828],[5,352,12838], [5,352,13954],[5,352,19265],[5,361,328],[5,361,12837], [5,1297,1658],[5,1297,38530],[5,2410,8715], [5,2414,2429,3507],[5,2414,2447,2429,3507], [5,2414,2447,3507],[5,2414,2447,3517,3507], [5,2414,2447,3517,44904],[5,2414,2447,9758], [5,2414,2447,9759],[5,2414,2447,10074,44904], [5,2414,2447,44904],[5,2414,2734,3507], [5,2414,2752,2734,3507],[5,2414,2752,3507], [5,2414,2752,3517,3507],[5,2414,2752,3517,44904], [5,2414,2752,18913],[5,2414,2752,18914], [5,2414,2752,19229,44904],[5,2414,2752,44904], [5,2414,2849,3507],[5,2414,3507],[5,2414,3517,3507], [5,2414,3517,44904],[5,2414,8962],[5,2414,8975,8962], [5,2414,8983,8962],[5,2414,8983,8993,8962], [5,2414,8983,8994,8962],[5,2414,8983,10074,44904], [5,2414,8983,19229,44904],[5,2414,8983,22478,44904], [5,2414,8983,44904],[5,2414,8993,8962],[5,2414,8994,8962], [5,2414,9758],[5,2414,9759],[5,2414,10074,44904], [5,2414,18913],[5,2414,18914],[5,2414,19229,44904], [5,2414,22162],[5,2414,22163],[5,2414,22478,44904], [5,2414,44904],[5,2429,3507],[5,2432,2429,3507], [5,2432,3502,3507],[5,2432,3502,41069],[5,2432,3507], [5,2432,9743],[5,2432,9749],[5,2432,9874,41069], [5,2432,41069],[5,2447,2429,3507],[5,2447,3507], [5,2447,3517,3507],[5,2447,3517,44904],[5,2447,9758], [5,2447,9759],[5,2447,10074,44904],[5,2447,44904], [5,2476,10854],[5,2492,3507],[5,2495,2492,3507], [5,2495,3502,3507],[5,2495,3502,41069],[5,2495,3507], [5,2495,11696],[5,2495,11702],[5,2495,11827,41069], [5,2495,41069],[5,2510,2492,3507],[5,2510,3507], [5,2510,3517,3507],[5,2510,3517,44904],[5,2510,11711], [5,2510,11712],[5,2510,12027,44904],[5,2510,44904], [5,2538,2554,3507],[5,2538,2557,2554,3507], [5,2538,2557,3502,3507],[5,2538,2557,3502,41069], [5,2538,2557,3507],[5,2538,2557,13587],[5,2538,2557,13593], [5,2538,2557,13718,41069],[5,2538,2557,41069], [5,2538,2675,3507],[5,2538,2678,2675,3507], [5,2538,2678,3502,3507],[5,2538,2678,3502,41069], [5,2538,2678,3507],[5,2538,2678,17187],[5,2538,2678,17193], [5,2538,2678,17318,41069],[5,2538,2678,41069], [5,2538,2849,3507],[5,2538,3502,3507],[5,2538,3502,41069], [5,2538,3507],[5,2538,12747],[5,2538,12760,12747], [5,2538,12763,12747],[5,2538,12768,12747], [5,2538,12768,12763,12747],[5,2538,12768,12769,12747], [5,2538,12768,13718,41069],[5,2538,12768,17318,41069], [5,2538,12768,22278,41069],[5,2538,12768,41069], [5,2538,12769,12747],[5,2538,13587],[5,2538,13593], [5,2538,13718,41069],[5,2538,17187],[5,2538,17193], [5,2538,17318,41069],[5,2538,22147],[5,2538,22153], [5,2538,22278,41069],[5,2538,41069],[5,2554,3507], [5,2557,2554,3507],[5,2557,3502,3507],[5,2557,3502,41069], [5,2557,3507],[5,2557,13587],[5,2557,13593], [5,2557,13718,41069],[5,2557,41069],[5,2572,2410,8715], [5,2572,2429,3507],[5,2572,2447,2429,3507], [5,2572,2447,3507],[5,2572,2447,3517,3507], [5,2572,2447,3517,44904],[5,2572,2447,9758], [5,2572,2447,9759],[5,2572,2447,10074,44904], [5,2572,2447,44904],[5,2572,2492,3507], [5,2572,2510,2492,3507],[5,2572,2510,3507], [5,2572,2510,3517,3507],[5,2572,2510,3517,44904], [5,2572,2510,11711],[5,2572,2510,11712], [5,2572,2510,12027,44904],[5,2572,2510,44904], [5,2572,2554,3507],[5,2572,3507],[5,2572,3517,3507], [5,2572,3517,44904],[5,2572,8715],[5,2572,8733,8715], [5,2572,8741,8715],[5,2572,8751,8715],[5,2572,8752,8715], [5,2572,9758],[5,2572,9759],[5,2572,10074,44904], [5,2572,11711],[5,2572,11712],[5,2572,12027,44904], [5,2572,13602],[5,2572,13603],[5,2572,13918,44904], [5,2572,44904],[5,2675,3507],[5,2678,2675,3507], [5,2678,3502,3507],[5,2678,3502,41069],[5,2678,3507], [5,2678,17187],[5,2678,17193],[5,2678,17318,41069], [5,2678,41069],[5,2693,2675,3507],[5,2693,3507], [5,2693,3517,3507],[5,2693,3517,44904],[5,2693,17202], [5,2693,17203],[5,2693,17518,44904],[5,2693,44904], [5,2734,3507],[5,2737,2476,10854],[5,2737,2492,3507], [5,2737,2495,2492,3507],[5,2737,2495,3502,3507], [5,2737,2495,3502,41069],[5,2737,2495,3507], [5,2737,2495,11696],[5,2737,2495,11702], [5,2737,2495,11827,41069],[5,2737,2495,41069], [5,2737,2675,3507],[5,2737,2678,2675,3507], [5,2737,2678,3502,3507],[5,2737,2678,3502,41069], [5,2737,2678,3507],[5,2737,2678,17187],[5,2737,2678,17193], [5,2737,2678,17318,41069],[5,2737,2678,41069], [5,2737,2734,3507],[5,2737,3502,3507],[5,2737,3502,41069], [5,2737,3507],[5,2737,10854],[5,2737,10869,10854], [5,2737,10872,10854],[5,2737,10877,10854], [5,2737,10878,10854],[5,2737,11696],[5,2737,11702], [5,2737,11827,41069],[5,2737,17187],[5,2737,17193], [5,2737,17318,41069],[5,2737,18898],[5,2737,18904], [5,2737,19029,41069],[5,2737,41069],[5,2752,2734,3507], [5,2752,3507],[5,2752,3517,3507],[5,2752,3517,44904], [5,2752,18913],[5,2752,18914],[5,2752,19229,44904], [5,2752,44904],[5,2849,3507],[5,3502,3507], [5,3502,41069],[5,3517,3507],[5,3517,44904], [5,3520,3507],[5,8733,8715],[5,8736,8715],[5,8741,8715], [5,8742,8715],[5,8751,8715],[5,8752,8715],[5,8754,8715], [5,8754,8742,8715],[5,8754,8751,8715],[5,8754,10109,45501], [5,8754,12062,45501],[5,8754,13953,45501],[5,8754,45501], [5,8975,8962],[5,8978,8962],[5,8983,8962], [5,8983,8993,8962],[5,8983,8994,8962],[5,8983,10074,44904], [5,8983,19229,44904],[5,8983,22478,44904],[5,8983,44904], [5,8984,8962],[5,8993,8962],[5,8994,8962],[5,8996,8962], [5,9874,41069],[5,9885,41411],[5,10074,44904], [5,10109,45501],[5,10869,10854],[5,10872,10854], [5,10877,10854],[5,10878,10854],[5,10887,10854], [5,10888,10854],[5,10890,10854],[5,10890,10872,10854], [5,10890,10888,10854],[5,10890,11838,41411], [5,10890,17329,41411],[5,10890,19040,41411],[5,10890,41411], [5,11827,41069],[5,11838,41411],[5,12027,44904], [5,12062,45501],[5,12760,12747],[5,12763,12747], [5,12768,12747],[5,12768,12763,12747],[5,12768,12769,12747], [5,12768,13718,41069],[5,12768,17318,41069], [5,12768,22278,41069],[5,12768,41069],[5,12769,12747], [5,12778,12747],[5,12779,12747],[5,12781,12747], [5,13718,41069],[5,13729,41411],[5,13918,44904], [5,13953,45501],[5,17318,41069],[5,17329,41411], [5,17518,44904],[5,17553,45501],[5,19029,41069], [5,19040,41411],[5,19229,44904],[5,19264,45501], [5,22278,41069],[5,22289,41411],[5,22478,44904], [5,22513,45501],[5,38305,41411],[5,38529,45501], [5,41078,41069],[5,41078,41411],[5,41078,44904], [5,41078,45501],[24,1,2279],[24,23,1625],[24,23,3507], [24,23,3520,3507],[24,26,23,1625],[24,26,23,3507], [24,26,23,3520,3507],[24,26,1291],[24,26,1297,1658], [24,26,1297,38530],[24,26,1625],[24,26,1658], [24,26,3502,3507],[24,26,3502,41069],[24,26,3507], [24,26,3517,3507],[24,26,3517,44904],[24,26,3520,3507], [24,26,38305,41411],[24,26,38529,45501],[24,26,38530], [24,26,41069],[24,26,41078,41069],[24,26,41078,41411], [24,26,41078,44904],[24,26,41078,45501],[24,26,41411], [24,26,44904],[24,26,45501],[24,89,90,1336], [24,89,90,5692,5705],[24,89,90,5705],[24,89,1291], [24,89,1336],[24,89,1377],[24,89,1391,1377], [24,89,1391,40108],[24,89,5645,5705],[24,89,5645,38205], [24,89,5690,5705],[24,89,5690,39193],[24,89,5692,5705], [24,89,5705],[24,89,38205],[24,89,38206,38205], [24,89,38206,38331],[24,89,38206,39193], [24,89,38206,40055],[24,89,38331],[24,89,38344,38331], [24,89,39193],[24,89,40055],[24,89,40068,40055], [24,89,40108],[24,90,1336],[24,90,5692,5705], [24,90,5705],[24,156,1377],[24,156,1658],[24,156,1761], [24,156,7813,7828],[24,156,7813,42193],[24,156,7818,7828], [24,156,7818,40287],[24,156,7828],[24,156,7899,7813,7828], [24,156,7899,7813,42193],[24,156,7899,7818,7828], [24,156,7899,7818,40287],[24,156,7899,7828], [24,156,7899,40099,40287],[24,156,7899,40287], [24,156,7899,40298,40287],[24,156,7899,41894,42193], [24,156,7899,41993,42193],[24,156,7899,42193], [24,156,40099,40287],[24,156,40287],[24,156,40298,40287], [24,156,41894,42193],[24,156,41993,42193],[24,156,42193], [24,157,1424,1698],[24,157,1424,41154],[24,157,1698], [24,157,7860,7875],[24,157,7860,41154],[24,157,7875], [24,157,41154],[24,1297,1658],[24,1297,38530], [24,1298,1291],[24,1298,1424,1698],[24,1298,1424,41154], [24,1298,1426,1761],[24,1298,1426,41217],[24,1298,1698], [24,1298,1761],[24,1298,38296,38557],[24,1298,38309,38921], [24,1298,38557],[24,1298,38563,38557],[24,1298,38563,38921], [24,1298,38563,46064],[24,1298,38563,47090],[24,1298,38921], [24,1298,41147,46064],[24,1298,41154],[24,1298,41212,47090], [24,1298,41217],[24,1298,46064],[24,1298,47090], [24,1339,1336],[24,1339,1625],[24,1339,1761], [24,1339,39276,42593],[24,1339,39289,39779], [24,1339,39400,39779],[24,1339,39534,39779],[24,1339,39779], [24,1339,42593],[24,1339,42602,42593],[24,1339,42604,42593], [24,1340,1336],[24,1340,1658],[24,1340,1698], [24,1340,39277,39424],[24,1340,39287,42936],[24,1340,39424], [24,1340,39433,39424],[24,1340,39439,39424], [24,1340,42635,42936],[24,1340,42669,42936],[24,1340,42936], [24,1381,1377],[24,1381,1625],[24,1381,1698], [24,1381,40098,41850],[24,1381,40111,40642], [24,1381,40261,40642],[24,1381,40330,40642],[24,1381,40642], [24,1381,41850],[24,1381,41861,41850],[24,1381,41865,41850], [24,1391,1377],[24,1391,40108],[24,1424,1698], [24,1424,41154],[24,1426,1761],[24,1426,41217], [24,2300,2279],[24,2300,3500,3507],[24,2300,3500,38205], [24,2300,3507],[24,2300,3517,3507],[24,2300,3517,44904], [24,2300,5645,5705],[24,2300,5645,38205], [24,2300,5695,5705],[24,2300,5695,44904],[24,2300,5705], [24,2300,7725,7828],[24,2300,7725,38205], [24,2300,7817,7828],[24,2300,7817,44904],[24,2300,7828], [24,2300,38205],[24,2300,44904],[24,2305,2279], [24,2305,3714],[24,2305,3725,3714],[24,2305,3725,42671], [24,2305,5859,6050],[24,2305,5859,42671],[24,2305,6050], [24,2305,7939,7950],[24,2305,7939,42671],[24,2305,7950], [24,2305,42671],[24,3500,3507],[24,3500,38205], [24,3502,3507],[24,3502,41069],[24,3503,3507], [24,3503,3677],[24,3503,3714],[24,3503,38331], [24,3503,38557],[24,3503,41850],[24,3503,42593], [24,3517,3507],[24,3517,44904],[24,3520,3507], [24,3522,3507],[24,3522,38921],[24,3545,3500,3507], [24,3545,3500,38205],[24,3545,3502,3507], [24,3545,3502,41069],[24,3545,3503,3507], [24,3545,3503,3677],[24,3545,3503,3714], [24,3545,3503,38331],[24,3545,3503,38557], [24,3545,3503,41850],[24,3545,3503,42593],[24,3545,3507], [24,3545,3677],[24,3545,3714],[24,3545,38205], [24,3545,38206,38205],[24,3545,38206,38331], [24,3545,38206,39193],[24,3545,38206,40055], [24,3545,38212,38205],[24,3545,38212,38557], [24,3545,38212,39424],[24,3545,38212,40287], [24,3545,38296,38557],[24,3545,38331],[24,3545,38335,38331], [24,3545,38557],[24,3545,39193],[24,3545,39197,39193], [24,3545,39197,39424],[24,3545,39197,41069], [24,3545,39197,41850],[24,3545,39201,39193], [24,3545,39276,42593],[24,3545,39277,39424],[24,3545,39424], [24,3545,40055],[24,3545,40058,40055],[24,3545,40058,40287], [24,3545,40058,41069],[24,3545,40058,42593], [24,3545,40060,40055],[24,3545,40098,41850], [24,3545,40099,40287],[24,3545,40287],[24,3545,41069], [24,3545,41850],[24,3545,42593],[24,3563,3500,3507], [24,3563,3500,38205],[24,3563,3507],[24,3563,3520,3507], [24,3563,3522,3507],[24,3563,3522,38921],[24,3563,38205], [24,3563,38224,38205],[24,3563,38224,38921], [24,3563,38224,39779],[24,3563,38224,40642],[24,3563,38921], [24,3563,39400,39779],[24,3563,39404],[24,3563,39779], [24,3563,40261,40642],[24,3563,40263],[24,3563,40642], [24,3648,3502,3507],[24,3648,3502,41069],[24,3648,3507], [24,3648,3522,3507],[24,3648,3522,38921], [24,3648,38309,38921],[24,3648,38534,38921],[24,3648,38921], [24,3648,41069],[24,3648,41083,41069],[24,3648,41085,41069], [24,3683,3503,3507],[24,3683,3503,3677], [24,3683,3503,3714],[24,3683,3503,38331], [24,3683,3503,38557],[24,3683,3503,41850], [24,3683,3503,42593],[24,3683,3507],[24,3683,3517,3507], [24,3683,3517,44904],[24,3683,3522,3507], [24,3683,3522,38921],[24,3683,3677],[24,3683,3714], [24,3683,38331],[24,3683,38344,38331],[24,3683,38345,38331], [24,3683,38345,38921],[24,3683,38345,42193], [24,3683,38345,42936],[24,3683,38557],[24,3683,38563,38557], [24,3683,38563,38921],[24,3683,38563,46064], [24,3683,38563,47090],[24,3683,38564,38557],[24,3683,38921], [24,3683,41850],[24,3683,41858,41850],[24,3683,41858,42193], [24,3683,41858,44904],[24,3683,41858,46064], [24,3683,41865,41850],[24,3683,41992,47090], [24,3683,41993,42193],[24,3683,42193],[24,3683,42593], [24,3683,42599,42593],[24,3683,42599,42936], [24,3683,42599,44904],[24,3683,42599,47090], [24,3683,42604,42593],[24,3683,42668,46064], [24,3683,42669,42936],[24,3683,42936],[24,3683,44904], [24,3683,46064],[24,3683,47090],[24,3686,3677], [24,3686,41995],[24,3725,3714],[24,3725,42671], [24,5645,5705],[24,5645,38205],[24,5653,5645,5705], [24,5653,5645,38205],[24,5653,5696,5705], [24,5653,5696,6018],[24,5653,5696,6050], [24,5653,5696,39424],[24,5653,5696,39779], [24,5653,5696,45501],[24,5653,5696,46064], [24,5653,5699,5705],[24,5653,5699,47090],[24,5653,5705], [24,5653,6018],[24,5653,6050],[24,5653,38205], [24,5653,38212,38205],[24,5653,38212,38557], [24,5653,38212,39424],[24,5653,38212,40287], [24,5653,38224,38205],[24,5653,38224,38921], [24,5653,38224,39779],[24,5653,38224,40642], [24,5653,38529,45501],[24,5653,38534,38921],[24,5653,38557], [24,5653,38563,38557],[24,5653,38563,38921], [24,5653,38563,46064],[24,5653,38563,47090], [24,5653,38566,38557],[24,5653,38921],[24,5653,39424], [24,5653,39439,39424],[24,5653,39534,39779],[24,5653,39779], 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[25438,25841,41411],[25438,25841,41416,41411], [25438,41006,41411],[25438,41006,43685],[25438,41416,41411], [25438,43687,43685],[25450,25853,50075],[25450,43652,50075], [25478,25844,25231],[25478,25844,25241],[25478,25844,39738], [25534,25349,25353],[25534,25349,25698],[25534,25349,42053], [25549,25221,39424],[25549,39443,39424],[25568,25572,46064], [25568,45949,46064],[25601,25605,46593],[25601,42701,46593], [25601,46477,46593],[25606,25393,42936],[25606,42702,42936], [25614,25401,43104],[25614,42710,43104],[25633,25349,25353], [25633,25349,25698],[25633,25349,42053],[25633,25637,47090], [25633,41992,47090],[25633,46973,47090],[25645,25215,39193], [25645,25224,25215,39193],[25645,25224,25347], [25645,25224,39193],[25645,25224,39201,39193], [25645,25238,25215,39193],[25645,25238,25321], [25645,25238,39193],[25645,25238,39215,39193], [25645,25324,25215,39193],[25645,25324,25241], [25645,25324,39193],[25645,25324,39218,39193], [25645,39201,39193],[25645,39215,39193],[25645,39218,39193], [25645,39539,47266],[25645,41220,47266],[25645,42000,47266], [25646,25362,42362],[25646,42001,42362],[25652,25368,42449], [25652,42007,42449],[25657,25373,42494],[25657,42012,42494], [25709,25819,5106,5705],[25709,25819,5120,6213], [25709,25819,5702,5705],[25709,25819,5702,6213], [25709,25819,5705],[25709,25819,6213],[25709,25819,25227], [25709,25819,25241],[25709,25819,25727],[25891,25233,39779], [25891,39785,39779],[40372,40377,40870],[40372,40814,40870], [40747,40752,40870],[40747,40814,40870],[42216,42227,42449], [42216,42272,42449],[42263,42277,42494],[42263,42318,42494], [43449,43454,47399],[43449,47348,47399],[44248,44318,50075], [44248,49163,50075],[45431,45441,45847],[45431,45781,45847], [45732,45735,45806],[45732,45774,45806],[46986,46997,47433], [46986,47354,47433],[47500,47678,51006],[47500,48897,51006], [48891,48903,51050],[48891,50923,51050],[49153,49163,50075], [49153,49968,50075]]; ############################################################################# ## #E chains.g . . . . . . . . . . . . . . . . . . . . . . . . . . . ends here