From 6cff577963d168474c9ba5d5e1bab6dc5a44535a Mon Sep 17 00:00:00 2001 From: Dennis Sweeney Date: Fri, 6 Dec 2024 01:22:37 -0500 Subject: [PATCH] more computations --- data_by_min_ideal/order10/min_2_2_1/README.md | 67 ++++++++++++++++++- .../order10/min_2_2_1/groupings.txt | 67 ++++++++++++++++++- data_by_min_ideal/order9/min_2_2_1/README.md | 25 ++++--- .../order9/min_2_2_1/groupings.txt | 25 ++++--- 4 files changed, 156 insertions(+), 28 deletions(-) diff --git a/data_by_min_ideal/order10/min_2_2_1/README.md b/data_by_min_ideal/order10/min_2_2_1/README.md index a0e6a50..ec76899 100644 --- a/data_by_min_ideal/order10/min_2_2_1/README.md +++ b/data_by_min_ideal/order10/min_2_2_1/README.md @@ -63,7 +63,7 @@ Count | 𝐻₁ | 𝐻₂ | 𝐻₃ | 𝐻₄ | 𝐻₅ | 𝐻₆ | 𝐻₇ | 4 | · | · | 𝐶₂ | · | 𝐶₂ | 𝐶₂ | 𝐶₂ | 𝐶₂² | 𝐶₂² | 𝐶₂³ 5 | · | · | 𝐶₂ | · | ℤ | ℤ | ℤ | ℤ | ℤ | ℤ 120 | · | · | 𝐶₂ | 𝐶₂³ | 𝐶₂¹⁰ | 𝐶₂³⁰ | 𝐶₂⁹¹ | ? | ? | ? -194 | · | · | 𝐶₂ | 𝐶₂² | 𝐶₂⁴ | 𝐶₂⁶ | ? | ? | ? | ? +194 | · | · | 𝐶₂ | 𝐶₂² | 𝐶₂⁴ | 𝐶₂⁶ | 𝐶₂⁹ | ? | ? | ? 380 | · | · | 𝐶₂ | 𝐶₂² | 𝐶₂⁵ | 𝐶₂¹⁰ | 𝐶₂²¹ | ? | ? | ? 6 | · | · | 𝐶₂ | 𝐶₂² | 𝐶₂⁷ | 𝐶₂²⁰ | 𝐶₂⁶¹ | 𝐶₂¹⁸² | 𝐶₂⁵⁴⁷ | 𝐶₂¹⁶⁴⁰ 10 | · | · | 𝐶₂ | 𝐶₂ | 𝐶₂⁴ | 𝐶₂⁸ | 𝐶₂²¹ | 𝐶₂⁴⁹ | 𝐶₂¹²⁰ | 𝐶₂²⁸⁸ @@ -238,7 +238,7 @@ Count | 𝐻₁ | 𝐻₂ | 𝐻₃ | 𝐻₄ | 𝐻₅ | 𝐻₆ | 𝐻₇ | 26 | · | · | ℤ | ℤ²×𝐶₃ | ℤ³×𝐶₃³ | ℤ⁴×𝐶₃⁸ | ℤ⁵×𝐶₃¹⁸ | ℤ⁶×𝐶₃³⁹ | ℤ⁷×𝐶₃⁸¹ | ℤ⁸×𝐶₃¹⁶⁶ 5 | · | · | ℤ | ℤ²×𝐶₃ | ℤ⁴×𝐶₃⁴ | ℤ⁸×𝐶₃¹⁵ | ℤ¹⁶×𝐶₃⁵⁰ | ℤ³²×𝐶₃¹⁶¹ | ℤ⁶⁴×𝐶₃⁵⁰⁴ | ℤ¹²⁸×𝐶₃¹⁵⁵⁵ 37 | · | · | ℤ | ℤ²×𝐶₃ | ℤ⁴×𝐶₃² | ℤ⁸×𝐶₃⁵ | ℤ¹⁶×𝐶₃¹⁰ | ? | ? | ? -126 | · | · | ℤ | ℤ³×𝐶₂ | ℤ⁷×𝐶₂⁴ | ℤ¹⁵×𝐶₂¹³ | ? | ? | ? | ? +126 | · | · | ℤ | ℤ³×𝐶₂ | ℤ⁷×𝐶₂⁴ | ℤ¹⁵×𝐶₂¹³ | ℤ³¹×𝐶₂³⁶ | ? | ? | ? 46 | · | · | ℤ | ℤ³×𝐶₂ | ℤ⁷×𝐶₂⁵ | ℤ¹⁵×𝐶₂²⁰ | ℤ³¹×𝐶₂⁷⁰ | ℤ⁶³×𝐶₂²³¹ | ℤ¹²⁷×𝐶₂⁷³⁵ | ℤ²⁵⁵×𝐶₂²²⁹⁰ 120 | · | · | ℤ | ℤ³×𝐶₂ | ℤ⁹×𝐶₂³ | ℤ²⁷×𝐶₂¹⁰ | ℤ⁸¹×𝐶₂³⁰ | ? | ? | ? 7 | · | · | ℤ | ℤ³×𝐶₂ | ℤ⁹×𝐶₂⁶ | ℤ²⁷×𝐶₂³¹ | ℤ⁸¹×𝐶₂¹⁴⁴ | ? | ? | ? @@ -445,7 +445,68 @@ Count | 𝐻₁ | 𝐻₂ | 𝐻₃ | 𝐻₄ | 𝐻₅ | 𝐻₆ | 𝐻₇ | 34 | · | ℤ | ℤ³ | ℤ¹⁰ | ℤ³² | ℤ¹⁰⁴ | ? | ? | ? | ? 809 | · | ℤ | ℤ³ | ℤ¹⁰ | ℤ³³ | ℤ¹⁰⁹ | ? | ? | ? | ? 16 | · | ℤ | ℤ³ | ℤ¹¹ | ℤ³⁶ | ℤ¹²⁶ | ? | ? | ? | ? -1885 | · | ℤ | ℤ³ | ℤ⁶ | ? | ? | ? | ? | ? | ? +3 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂⁴ | ℤ²⁴×𝐶₂⁸ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂² | ℤ²⁰×𝐶₂⁵ | ? | ? | ? | ? +4 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂² | ℤ²¹×𝐶₂⁴ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂² | ℤ²³×𝐶₂² | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂² | ℤ²⁴×𝐶₂³ | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂×𝐶₄ | ℤ²⁰×𝐶₂²×𝐶₄³ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ¹⁶×𝐶₂²×𝐶₄×𝐶₈ | ? | ? | ? | ? +4 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ¹⁷×𝐶₂⁵ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ¹⁹×𝐶₂⁴ | ? | ? | ? | ? +3 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ¹⁹×𝐶₂³ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ¹⁹×𝐶₂² | ? | ? | ? | ? +3 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ²⁰×𝐶₂³ | ? | ? | ? | ? +3 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ²⁰×𝐶₂² | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ²⁰×𝐶₂×𝐶₄ | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ²⁰×𝐶₂ | ? | ? | ? | ? +5 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ²¹×𝐶₂² | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ²¹×𝐶₂ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ²²×𝐶₂ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₂ | ℤ²²×𝐶₄² | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₃ | ℤ²⁰×𝐶₃² | ? | ? | ? | ? +3 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₃ | ℤ²¹×𝐶₃² | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₃ | ℤ²¹×𝐶₃ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰×𝐶₃ | ℤ²²×𝐶₃ | ? | ? | ? | ? +318 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁰ | ? | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹¹×𝐶₂³ | ℤ²⁹×𝐶₂⁴ | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹¹×𝐶₂² | ℤ²⁵×𝐶₂⁷ | ? | ? | ? | ? +6 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹¹×𝐶₂ | ℤ²³×𝐶₂³ | ? | ? | ? | ? +19 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹¹×𝐶₂ | ℤ²⁴×𝐶₂² | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹¹×𝐶₂ | ℤ²⁵×𝐶₂² | ? | ? | ? | ? +4 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹¹×𝐶₂ | ℤ²⁵×𝐶₂ | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹¹×𝐶₃ | ℤ²⁴×𝐶₃² | ? | ? | ? | ? +384 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹¹ | ? | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹²×𝐶₂ | ℤ²⁸×𝐶₂² | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹²×𝐶₂ | ℤ²⁹×𝐶₂² | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹²×𝐶₂ | ℤ²⁹×𝐶₂ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹²×𝐶₂ | ℤ³¹×𝐶₂ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹²×𝐶₄ | ℤ³⁰×𝐶₂×𝐶₄ | ? | ? | ? | ? +395 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹² | ? | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹³×𝐶₂ | ℤ³⁰×𝐶₂⁴ | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹³×𝐶₂ | ℤ³⁴×𝐶₂ | ? | ? | ? | ? +13 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹³ | ℤ³⁰ | ? | ? | ? | ? +11 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹³ | ℤ³¹ | ? | ? | ? | ? +28 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹³ | ℤ³² | ? | ? | ? | ? +19 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹³ | ℤ³³ | ? | ? | ? | ? +13 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹³ | ℤ³⁴ | ? | ? | ? | ? +11 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁴ | ℤ³⁵ | ? | ? | ? | ? +21 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁴ | ℤ³⁶ | ? | ? | ? | ? +17 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁴ | ℤ³⁷ | ? | ? | ? | ? +15 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁵ | ℤ³⁹ | ? | ? | ? | ? +6 | · | ℤ | ℤ³ | ℤ⁶ | ℤ¹⁵ | ℤ⁴⁰ | ? | ? | ? | ? +15 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₂³ | ℤ¹⁸×𝐶₂⁶ | ? | ? | ? | ? +10 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₂² | ? | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₂×𝐶₆ | ℤ¹⁶×𝐶₂²×𝐶₆² | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₂×𝐶₆ | ℤ¹⁸×𝐶₂²×𝐶₆ | ? | ? | ? | ? +50 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₂ | ? | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₂⁵ | ? | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₃² | ℤ²²×𝐶₃³ | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₃ | ℤ¹⁵×𝐶₃³ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₃ | ℤ¹⁶×𝐶₃ | ? | ? | ? | ? +2 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₃ | ℤ¹⁷×𝐶₃³ | ? | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹×𝐶₃ | ℤ¹⁷×𝐶₃² | ? | ? | ? | ? +454 | · | ℤ | ℤ³ | ℤ⁶ | ℤ⁹ | ? | ? | ? | ? | ? 11897 | · | ℤ | ℤ³ | ℤ⁷ | ? | ? | ? | ? | ? | ? 26420 | · | ℤ | ℤ³ | ℤ⁸ | ? | ? | ? | ? | ? | ? 12931 | · | ℤ | ℤ³ | ℤ⁹ | ℤ²⁷ | ? | ? | ? | ? | ? diff --git a/data_by_min_ideal/order10/min_2_2_1/groupings.txt b/data_by_min_ideal/order10/min_2_2_1/groupings.txt index 96b8b4b..dcaf786 100644 --- a/data_by_min_ideal/order10/min_2_2_1/groupings.txt +++ b/data_by_min_ideal/order10/min_2_2_1/groupings.txt @@ -58,7 +58,7 @@ [0, 0, C2, 0, C2, C2, C2, C2 x C2, C2 x C2, C2 x C2 x C2] : 659666,2159034,2159108,2159158 [0, 0, C2, 0, Z, Z, Z, Z, Z, Z] : 659628,2158740,2158886,2173697,2194348 [0, 0, C2, C2 x C2 x C2, C2^10, C2^30, C2^91] : 266981,266982,1120213,1120222,1120228,1120406,1180914,1180917,1180971,1180997,1181009,1181011,1181039,1181041,1181098,1188723,1188735,1188737,1188822,1188824,1188872,1188908,1188910,1188923,1195037,1195039,1195058,2608960,2608962,2608964,2610306,2610307,2610308,2610317,2610318,2610319,2610451,2610452,2610453,2610454,2677820,2677826,2677875,2677881,2677886,2677905,2677913,2677915,2677940,2690767,2690772,2690849,2690900,2690902,2690954,2690995,2690998,2691017,2691021,2691023,2691026,2697104,2697106,2697189,2697315,2697317,2697334,2697342,2697344,2697347,2717029,2717032,2717070,2717072,2717081,2717085,2717087,2717089,2717107,2722124,2722127,2722144,2722152,2722155,2722161,4345018,4345022,4345025,4345030,4359236,4359293,4359348,4359385,4359388,4359390,4372465,4372632,4372799,4372826,4372840,4372842,4379558,4379786,4379857,4379862,4408718,4408724,4408726,4408728,4408730,4408735,4427207,4427210,4427244,4427258,4427261,4427262,4438867,4438906,4438911 -[0, 0, C2, C2 x C2, C2 x C2 x C2 x C2, C2^6] : 267219,267258,286507,286648,1120217,1120225,1121028,1121043,1124112,1124116,1124206,1124216,1124705,1124714,1124723,1180938,1181060,1181061,1181121,1181123,1188765,1188767,1188768,1188769,1188884,1188886,1188935,1188937,1188939,1195550,2611653,2611654,2611655,2611656,2611811,2611812,2611813,2611814,2611863,2611864,2611865,2619351,2619352,2619353,2619381,2619382,2619383,2619384,2621180,2621181,2621182,2621183,2621239,2621240,2621241,2621242,2621305,2621306,2621307,2621308,2621362,2621363,2621364,2621365,2677824,2677827,2677884,2677887,2677907,2677944,2677999,2678004,2678007,2678009,2678011,2690770,2690957,2690999,2691029,2697234,2697236,2697244,2717037,2717039,2717110,2722126,2722154,3016404,3018082,3018083,3082593,3082594,4345049,4345052,4345058,4345060,4359239,4359351,4359393,4359394,4359404,4359407,4359413,4359415,4372721,4372725,4379532,4379533,4379543,4379545,4379546,4379553,4379554,4379679,4379686,4379694,4379813,4379817,4379818,4379819,4379820,4379821,4379837,4379838,4379842,4379843,4379854,4380056,4380234,4382138,4382163,4388354,4388379,4388665,4388668,4388993,4389328,4391016,4391131,4408727,4408740,4408745,4408754,4408756,4408758,4408759,4408762,4419598,4419600,4419601,4419602,4419603,4427209,4427225,4427259,4427268,4438892,4976442,4978191,4982244,4982407,4983729,4984019,4985027,5143749,5143752,5143755,5143756,5161031,5165889,5166038,5170120,5172787,5172862,5173907,5173982,5174737,5174744,5175141,5175344,5178617,5190138,5190341,5191926,5200350,5200553,5202326,5389684,5391805,5395683,5408353,5410188,5431129,5433244 +[0, 0, C2, C2 x C2, C2 x C2 x C2 x C2, C2^6, C2^9] : 267219,267258,286507,286648,1120217,1120225,1121028,1121043,1124112,1124116,1124206,1124216,1124705,1124714,1124723,1180938,1181060,1181061,1181121,1181123,1188765,1188767,1188768,1188769,1188884,1188886,1188935,1188937,1188939,1195550,2611653,2611654,2611655,2611656,2611811,2611812,2611813,2611814,2611863,2611864,2611865,2619351,2619352,2619353,2619381,2619382,2619383,2619384,2621180,2621181,2621182,2621183,2621239,2621240,2621241,2621242,2621305,2621306,2621307,2621308,2621362,2621363,2621364,2621365,2677824,2677827,2677884,2677887,2677907,2677944,2677999,2678004,2678007,2678009,2678011,2690770,2690957,2690999,2691029,2697234,2697236,2697244,2717037,2717039,2717110,2722126,2722154,3016404,3018082,3018083,3082593,3082594,4345049,4345052,4345058,4345060,4359239,4359351,4359393,4359394,4359404,4359407,4359413,4359415,4372721,4372725,4379532,4379533,4379543,4379545,4379546,4379553,4379554,4379679,4379686,4379694,4379813,4379817,4379818,4379819,4379820,4379821,4379837,4379838,4379842,4379843,4379854,4380056,4380234,4382138,4382163,4388354,4388379,4388665,4388668,4388993,4389328,4391016,4391131,4408727,4408740,4408745,4408754,4408756,4408758,4408759,4408762,4419598,4419600,4419601,4419602,4419603,4427209,4427225,4427259,4427268,4438892,4976442,4978191,4982244,4982407,4983729,4984019,4985027,5143749,5143752,5143755,5143756,5161031,5165889,5166038,5170120,5172787,5172862,5173907,5173982,5174737,5174744,5175141,5175344,5178617,5190138,5190341,5191926,5200350,5200553,5202326,5389684,5391805,5395683,5408353,5410188,5431129,5433244 [0, 0, C2, C2 x C2, C2^5, C2^10, C2^21] : 267658,269758,269823,283040,283131,284808,284875,375590,375592,375693,666802,666898,668621,668623,668711,1120214,1120223,1120229,1121461,1121465,1121619,1124110,1124114,1124182,1124374,1124377,1124467,1124732,1124813,1125660,1125663,1125664,1180915,1180928,1180932,1180972,1180980,1180982,1180998,1181006,1181008,1181010,1181012,1181013,1181040,1181047,1181050,1181099,1181107,1181109,1188667,1188679,1188681,1188724,1188732,1188734,1188736,1188738,1188739,1188795,1188797,1188823,1188830,1188833,1188854,1188873,1188881,1188883,1188909,1188916,1188919,1188924,1188932,1188934,1195038,1195049,1195052,1195059,1195067,1195069,1204177,1204218,1204228,1204287,1204310,1204313,1210614,1210616,1210629,1504514,1504517,1504618,1504707,1504709,1504765,1516230,1516232,1516344,1516412,1516414,1516442,1537187,1537189,1537213,2170538,2170634,2170714,2170782,2172987,2173078,2178497,2178570,2196295,2196472,2609174,2609176,2609652,2609654,2609726,2609728,2610807,2610808,2610839,2610840,2611363,2611364,2611372,2611373,2612451,2612454,2612455,2612458,2612473,2612474,2612475,2612628,2612629,2612630,2619154,2619157,2619158,2619161,2619254,2619255,2619256,2619257,2619769,2619772,2619773,2619776,2619936,2619937,2619938,2619939,2621427,2621428,2621429,2621747,2621748,2621749,2677821,2677876,2677882,2677906,2677914,2677941,2690721,2690724,2690768,2690834,2690850,2690876,2690878,2690901,2690921,2690955,2690996,2691018,2691022,2691027,2697069,2697071,2697093,2697095,2697098,2697100,2697105,2697172,2697184,2697186,2697190,2697255,2697257,2697267,2697309,2697311,2697316,2697331,2697335,2697343,2697348,2717030,2717071,2717082,2717086,2717088,2717108,2722116,2722118,2722125,2722141,2722145,2722153,2722162,2733225,2733231,2733247,2733252,2733271,2733275,2733343,2733394,2733397,2733488,2733499,2733502,2736395,2736408,2736411,2742591,2742594,2742610,2742614,2742616,2742638,2743285,2743287,2743297,2743302,2743304,2743307,2744487,2744489,2744494,3016402,3016414,3016417,3018077,3018079,3018084,3032197,3032210,3032213,3033860,3033862,3033865,3082588,3082590,3082595,3083253,3083255,3083258,3269871,3269875,3281613,3281683,3281714,3298017,3298139,3298207,3298255,3305443,3305580,3305636,3341124,3341138,3341151,3349559,3349576,4359219,4359273,4359324,4372438,4372458,4372460,4372605,4372625,4372627,4372731,4372738,4372794,4372821,4379497,4379531,4379542,4379556,4379557,4379695,4379776,4379784,4379785,4379815,4379841,4379856,4427199,4427203,4427238,4438861,4438865,4438866,4438896,4438905,4452583,4452590,4452592,4452665,4452668,4452781,4452895,4452899,4452977,4453021,4455632,4455635,4455652,4455691,4456367,4461952,4461955,4461964,4463401,4463420,4463433,4463435,4464031,4464055,4464058,4466370,4466372,4466373,4466964,4466967,4976420,4976425,4976439,4976465,4977129,4978063,4978065,4978189,4978192,4978370,5000829,5000834,5000857,5000876,5001656,5002754,5002756,5002859,5002861,5003045,5143747,5143751,5143757,5152241,5152244,5152248,5161029,5161032,5164206,5164208,5209546,5209715,5231273,5231450,5442300,5443490,5444595,5444818 [0, 0, C2, C2 x C2, C2^7, C2^20, C2^61, C2^182, C2^547, C2^1640] : 58437,194690,597960,598208,2093341,2114237 [0, 0, C2, C2, C2 x C2 x C2 x C2, C2^8, C2^21, C2^49, C2^120, C2^288] : 58439,211097,217108,598378,598380,605018,605114,2098717,2115276,2116513 @@ -233,7 +233,7 @@ [0, 0, Z, Z x Z x C3, Z x Z x Z x C3 x C3 x C3, Z x Z x Z x Z x C3^8, Z^5 x C3^18, Z^6 x C3^39, Z^7 x C3^81, Z^8 x C3^166] : 2687549,2687552,2687556,2687568,2687573,2687576,2690372,2690374,4354892,4354895,4354896,4354899,4358604,4358606,4368762,4368825,4370134,4370136,4371996,4372169,4423804,4423807,4425426,4426719,4426721,4426729 [0, 0, Z, Z x Z x C3, Z x Z x Z x Z x C3 x C3 x C3 x C3, Z^8 x C3^15, Z^16 x C3^50, Z^32 x C3^161, Z^64 x C3^504, Z^128 x C3^1555] : 4354910,4354914,4354922,4358610,4358614 [0, 0, Z, Z x Z x C3, Z x Z x Z x Z x C3 x C3, Z^8 x C3^5, Z^16 x C3^10] : 1183317,1183329,1183336,1183344,1183356,1183358,2680263,2680266,2680268,2680283,2680287,2680290,2691983,2692020,2692022,2692534,2692536,2692538,2720953,2720955,2720957,4346914,4346915,4346919,4360917,4360948,4361676,4361678,4373647,4373811,4373820,4374134,4423798,4423800,4423802,4437669,4437719 -[0, 0, Z, Z x Z x Z x C2, Z^7 x C2 x C2 x C2 x C2, Z^15 x C2^13] : 1178935,1178958,1178961,1178989,1178992,1179016,1179145,1179169,1179179,1180784,1180796,2103791,2103803,2103815,2131305,2674020,2674025,2674041,2674065,2674068,2674070,2674087,2674090,2674093,2674128,2674138,2674143,2677333,2677345,2677379,2677383,2688474,2688477,2688503,2688573,2688614,2688617,2689022,2689025,2689029,2689041,2689048,2689051,2690513,2690523,2690571,2690573,2713577,2713583,2713592,2713594,2713613,2713615,2715498,2715500,2716720,2716723,2716727,2716739,2716746,2716749,2716819,2716823,4341440,4341444,4341446,4341450,4341451,4341456,4344625,4344632,4344639,4355965,4355989,4355990,4356009,4356583,4356586,4356587,4356590,4358838,4358858,4358953,4358959,4370096,4370110,4370341,4370435,4370652,4370654,4372167,4372257,4372262,4402966,4402973,4402978,4402981,4402989,4402992,4406044,4406053,4406093,4408185,4408188,4408191,4408192,4408195,4408198,4408332,4408335,4408336,4408339,4408357,4408358,4423911,4423914,4423930,4423933,4425467,4425477,4426905,4426915,4426987,4426994,4426996,4427007 +[0, 0, Z, Z x Z x Z x C2, Z^7 x C2 x C2 x C2 x C2, Z^15 x C2^13, Z^31 x C2^36] : 1178935,1178958,1178961,1178989,1178992,1179016,1179145,1179169,1179179,1180784,1180796,2103791,2103803,2103815,2131305,2674020,2674025,2674041,2674065,2674068,2674070,2674087,2674090,2674093,2674128,2674138,2674143,2677333,2677345,2677379,2677383,2688474,2688477,2688503,2688573,2688614,2688617,2689022,2689025,2689029,2689041,2689048,2689051,2690513,2690523,2690571,2690573,2713577,2713583,2713592,2713594,2713613,2713615,2715498,2715500,2716720,2716723,2716727,2716739,2716746,2716749,2716819,2716823,4341440,4341444,4341446,4341450,4341451,4341456,4344625,4344632,4344639,4355965,4355989,4355990,4356009,4356583,4356586,4356587,4356590,4358838,4358858,4358953,4358959,4370096,4370110,4370341,4370435,4370652,4370654,4372167,4372257,4372262,4402966,4402973,4402978,4402981,4402989,4402992,4406044,4406053,4406093,4408185,4408188,4408191,4408192,4408195,4408198,4408332,4408335,4408336,4408339,4408357,4408358,4423911,4423914,4423930,4423933,4425467,4425477,4426905,4426915,4426987,4426994,4426996,4427007 [0, 0, Z, Z x Z x Z x C2, Z^7 x C2^5, Z^15 x C2^20, Z^31 x C2^70, Z^63 x C2^231, Z^127 x C2^735, Z^255 x C2^2290] : 2674207,2674210,2674230,2674294,2674310,2674323,2674326,2674355,2674358,2677446,2677454,2677458,2677466,4341472,4341479,4341494,4341495,4341501,4341513,4344654,4344662,4344676,4344684,4356089,4356182,4356190,4356601,4356605,4356613,4358929,4358933,4358973,4358977,4402995,4403020,4403024,4406073,4406077,4408203,4408214,4408220,4408231,4408317,4408329,4408341,4408346 [0, 0, Z, Z x Z x Z x C2, Z^9 x C2 x C2 x C2, Z^27 x C2^10, Z^81 x C2^30] : 266814,266815,575097,575184,575232,578265,1172368,1172395,1172405,1172454,1172466,1172468,1172667,1172691,1172701,1183853,1183892,1183899,1183964,1183976,1183978,1184228,1184240,1184247,1184255,1184267,1184269,1194301,1194313,1194320,2080503,2080516,2080528,2080610,2080631,2080653,2082710,2082719,2082730,2082740,2665197,2665203,2665205,2665210,2665240,2665245,2665309,2665315,2665321,2680941,2680970,2680972,2681020,2681061,2681064,2681299,2681304,2681306,2681321,2681325,2681328,2692509,2692523,2692525,2692634,2692711,2692713,2692761,2692763,2692765,2713473,2713487,2713489,2713511,2713515,2713517,2713520,2713558,2713560,2721005,2721018,2721021,2721044,2721046,2721049,4333154,4333155,4333160,4333166,4347417,4347428,4347442,4347663,4347664,4347668,4361649,4361661,4361807,4361868,4361967,4361969,4373894,4374133,4374316,4374318,4402939,4402946,4402951,4402953,4402959,4402961,4423878,4423888,4423891,4423923,4423925,4423928,4437718,4437738,4437740 [0, 0, Z, Z x Z x Z x C2, Z^9 x C2^6, Z^27 x C2^31, Z^81 x C2^144] : 4341586,4341592,4341664,4341676,4344716,4344753,4344761 @@ -440,7 +440,68 @@ [0, Z, Z x Z x Z, Z^10, Z^32, Z^104] : 283546,1323139,1325417,1351707,3073952,3073958,3074742,3074850,3074986,3087977,3087988,3093396,5103715,5103722,5107514,5107517,5108246,5108249,5109363,5109366,5109998,5172248,5172269,5198776,5198779,5209386,5372811,5373018,5373096,5373256,5448718,5506803,5620881,5623119 [0, Z, Z x Z x Z, Z^10, Z^33, Z^109] : 58133,60029,61172,273239,273748,273943,273951,273970,274057,274077,274213,274216,274220,274450,274451,274547,274548,274574,274575,274576,277295,277304,277306,277413,278159,278171,278173,281225,283533,283598,285491,285676,285679,285702,285795,285809,285810,339988,340404,343144,343312,343348,345058,345150,345154,345262,345264,345336,345373,345414,345421,345785,345787,347899,348213,348228,348251,350939,350994,351033,351066,351073,351232,353456,353505,353531,353557,613238,621336,624247,624258,624443,624507,624523,624562,624599,625308,628017,628057,640540,640552,643466,1150730,1150752,1150769,1150876,1150900,1150919,1153543,1153544,1153561,1153562,1153587,1153588,1153616,1153617,1153965,1155004,1155007,1155009,1155012,1155014,1155017,1155021,1155024,1155154,1155156,1155158,1155161,1155164,1155166,1155169,1155173,1155176,1155254,1155256,1155258,1155260,1155262,1155265,1155267,1155269,1155271,1222984,1222994,1223008,1223234,1223243,1223256,1223359,1223365,1223375,1225660,1225668,1225681,1225762,1225766,1226075,1227073,1228136,1228141,1228152,1228255,1228263,1228275,1228322,1228328,1228338,1229181,1229189,1229202,1229234,1229238,1229247,1229326,1229329,1229717,1249628,1250833,1265748,1265769,1265774,1265856,1265861,1265872,1266334,1266350,1266354,1266416,1266420,1266429,1267443,1267466,1267469,1267545,1267548,1268229,1268338,1268732,1271458,1271483,1271488,1271572,1271577,1271588,1272111,1272130,1272134,1272198,1272202,1272211,1273226,1273249,1273252,1273328,1273331,1274036,1290521,1290570,1290787,1305477,1305495,1305498,1305539,1305542,1305548,1305707,1305757,1305767,1308244,1308262,1308265,1308306,1308309,1308315,1310810,1310833,1310836,1310881,1310884,1310944,1312479,1316008,1316032,1316732,1327032,1327038,1327043,1337230,1337235,1337245,1337347,1337353,1337558,1337975,1337980,1337990,1338036,1338042,1338048,1338108,1338111,1345263,1345286,1345289,1345334,1345337,1345397,1346421,1346444,1346447,1356402,1356483,1356733,1356787,1356790,1358840,1428168,1428186,1428228,1428240,1428284,1428287,1428410,1428428,1428737,1428754,1428869,1428890,1435818,1435833,1435883,1435895,1435964,1436615,1436627,1436645,1436647,1436703,1437025,1437042,1437054,1437064,1437151,1437693,1437732,1439163,1439176,1439186,1439189,1439232,1439245,1445059,1445072,1445084,1445096,1445101,1445103,1445159,1445172,1446040,1446044,1446051,1446062,2113027,2113484,2113540,2117537,2118881,2119287,2119296,2119386,2119918,2132102,2136683,2137598,2762187,2762209,2762220,2762223,2764078,2764087,2764090,2764549,2764552,2764663,2766520,2766982,2767389,2806053,2806214,2845002,2845012,2845026,2845242,2845251,2845264,2845317,2845323,2845333,2846642,2846650,2846663,2846720,2846724,2846733,2847016,2847019,2847029,2848453,2848471,2848474,2849175,2849192,2849255,2849529,2855244,2855254,2855268,2855521,2855530,2855543,2855596,2855602,2855612,2856934,2856942,2856955,2857015,2857019,2857028,2857311,2857314,2857324,2858855,2858873,2858876,2859597,2859946,2882541,2882551,2882825,2882834,2882870,2936303,2936311,2936322,2936375,2936379,2936385,2936540,2936543,2936549,2936758,2936772,2936775,2936841,2936849,2936857,2936904,2941231,2941238,2941247,2941287,2941292,2941300,2941320,2941323,2941329,2948977,2948985,2948994,2949046,2949050,2949056,2949207,2949210,2949218,2949328,2949339,2949342,2949390,2949400,2953241,2953252,2953291,2960594,2960602,2960629,2960633,2963615,2963622,2963646,2992251,2992254,2992258,2992285,2992290,2992293,2993214,2993217,2993221,2993223,2993226,2993230,2996712,2996715,2996719,2996749,2996754,2996757,2996767,2996770,2996774,2996801,2996804,2996808,2996818,2999385,2999390,2999393,2999394,2999396,3003685,3003688,3004332,3004335,3004357,3036889,3036930,3036936,3037290,3037296,3037388,3037662,3062474,3062479,3062489,3062550,3062556,3062562,3062720,3062723,3062731,3062841,3062852,3062891,3065083,3065088,3065098,3065168,3065174,3065180,3065321,3065324,3065393,3073437,3073520,3073986,3074490,3075050,3078247,3078250,3078254,3078284,3078289,3078292,3078602,3078605,3078609,3079078,3079081,3079085,3079095,3079337,3079474,3079477,3106974,3107013,3107234,3107246,3107278,3121865,3121872,3121898,3122521,3122524,3122528,3122538,3122668,3122671,3128186,3128189,3128213,3147358,3147677,3147699,3152242,3152785,3220619,3220626,3220628,3220635,3222183,3222185,3222195,3223529,3223532,3223541,3223691,3223699,3223867,3224033,3224036,3228195,3228198,3228200,3228203,3229980,3229981,3229984,3229988,3230262,3230265,3230268,4598341,4598384,4598397,4598400,4599794,4599809,4599812,4600123,4600127,4600192,4602275,4602823,4602929,4602944,4603679,4603768,4603831,4613690,4613755,4613770,4613773,4615211,4615230,4615233,4615549,4615554,4615619,4617908,4618473,4618581,4619401,4619492,4619555,4639543,4639749,4639794,4639801,4752673,4752704,4752708,4752892,4752897,4752930,4753200,4753265,4753274,4753347,4753355,4753359,4758738,4758758,4758761,4758799,4758802,4758807,4774600,4774632,4774636,4774811,4774816,4774864,4775151,4775216,4775228,4775304,4775312,4783074,4783138,4783148,4783194,4785686,4785720,4785725,4793017,4793050,4793056,4892931,4892936,4892956,4892982,4892988,4892993,4894589,4894593,4894596,4894604,4894607,4894610,4902850,4902855,4902874,4902903,4902909,4902914,4902944,4902948,4902951,4903002,4903007,4903025,4903053,4903059,4903064,4910741,4910747,4910751,4910761,4910767,4910771,4910777,4910783,4913790,4913794,4916333,4916337,4916474,4916478,4954470,4954474,4954914,4954915,4954916,4957892,4957896,4957906,4957907,4957912,4957916,4957919,4957923,4957927,4961831,4961832,4961833,4961834,4961835,4961836,4963703,4964343,4964356,4964371,5066819,5066862,5066868,5067081,5067087,5067138,5067451,5067520,5067531,5067593,5071749,5071812,5071819,5072010,5072019,5072067,5072306,5072375,5072443,5102566,5102726,5103767,5105575,5105738,5110015,5117686,5117692,5117714,5117742,5117748,5117754,5118301,5118305,5118309,5119740,5119746,5119767,5119797,5119803,5119809,5120587,5120593,5121014,5121022,5121041,5121056,5143109,5143805,5146186,5146187,5154742,5154746,5154898,5154899,5155478,5155482,5155487,5155492,5155496,5155974,5155975,5155976,5286292,5286332,5286338,5288334,5288343,5288362,5288389,5288395,5288712,5288722,5288740,5288755,5336317,5336321,5379747,5379751,5379845,5379849,5380837,5380841,5380883,5381000,5381004,5381064,5381114,5446001,5446027,5446028,5681921,5681925,5685847,5685851,5686118,5686122,5686147,5866307,5866313,5867929,5867935,6091096,6091798 [0, Z, Z x Z x Z, Z^11, Z^36, Z^126] : 283556,283599,1326944,1327087,1352171,3073983,3073989,3074842,5103763,5103770,5108146,5108149,5143112,5146197,5372816,5373092 -[0, Z, Z x Z x Z, Z^6] : 1347614,1349918,1349919,1350141,1350142,1350145,1350146,1352021,1352022,1352023,1352051,1352054,1352061,1352074,1352075,1352077,3016770,3073995,3074770,3074774,3086877,3087624,3087983,3088062,4401383,4401394,4401411,4401418,4402164,4402166,4411915,4411917,4411934,4411957,4411985,4412041,4412055,4413598,4982978,4982979,5103297,5103777,5103780,5103798,5105925,5106155,5106641,5107694,5107695,5107737,5107741,5107874,5107876,5107877,5107918,5107919,5107920,5107977,5107978,5108174,5108181,5108182,5108183,5108184,5108186,5108251,5108408,5108516,5108689,5108690,5108691,5108766,5108767,5109657,5109658,5109812,5141011,5141012,5141013,5141014,5141015,5141046,5141049,5141050,5141051,5141064,5141065,5141069,5141071,5141072,5141073,5141074,5141075,5141079,5141081,5141082,5141083,5141107,5141110,5141112,5141113,5141114,5141120,5141125,5141127,5141129,5141133,5141134,5141135,5141136,5141137,5141139,5141140,5141141,5141142,5141165,5141166,5141167,5141168,5141169,5141170,5141171,5141174,5141175,5141176,5141177,5141178,5141189,5141192,5141194,5141195,5141196,5141209,5141212,5141214,5141216,5141217,5141221,5141222,5141223,5141224,5141225,5141226,5141227,5141228,5141230,5141265,5141266,5141267,5141272,5141273,5141274,5141275,5141276,5141285,5141286,5141288,5141289,5141316,5141318,5144561,5144563,5144649,5145433,5145435,5145607,5145608,5145609,5145702,5145704,5145778,5145916,5145917,5145918,5145919,5145920,5145966,5145967,5145968,5146050,5146191,5146194,5146196,5146207,5146209,5146211,5146212,5146216,5146218,5146220,5146221,5146230,5146231,5146232,5146233,5146235,5146237,5146273,5146276,5146278,5146279,5146280,5146281,5146282,5146285,5146286,5146287,5146288,5146290,5146291,5146292,5146293,5146294,5146295,5146296,5146297,5146457,5146588,5146590,5146592,5146593,5147084,5147086,5147088,5147089,5147091,5147093,5147095,5147096,5147260,5147401,5147403,5147405,5147406,5148042,5148043,5148044,5148148,5148310,5148311,5148312,5148313,5148332,5149156,5149158,5149159,5149181,5149182,5149188,5149190,5149192,5149193,5149194,5149195,5149197,5149264,5149265,5149266,5149354,5149355,5149399,5149400,5149401,5149402,5149548,5149549,5149550,5149551,5149552,5149553,5149554,5149555,5149556,5149557,5149559,5149561,5149562,5149599,5149675,5149676,5149728,5150070,5150071,5150339,5150341,5150762,5150791,5167210,5169702,5170291,5170311,5170330,5170905,5170912,5170914,5170915,5170916,5170917,5170918,5170919,5170920,5171049,5171118,5171357,5171360,5171361,5171471,5171474,5171475,5171476,5171479,5171481,5171482,5171485,5171487,5171488,5171588,5171639,5171716,5171851,5171921,5171923,5172253,5172255,5172258,5172260,5172261,5172267,5172347,5172350,5172352,5172353,5172354,5172355,5172356,5172357,5172358,5172360,5172362,5172364,5172501,5172504,5172505,5176531,5178135,5178281,5178282,5186983,5187074,5187077,5187166,5187167,5187305,5187832,5187839,5187841,5187844,5187847,5187848,5187849,5187850,5187851,5187852,5187853,5187855,5187859,5187992,5187993,5188129,5188130,5188496,5188661,5188664,5188666,5188775,5188919,5194260,5194468,5194472,5194474,5194475,5194476,5194639,5194952,5194956,5194957,5194958,5194959,5194960,5194962,5194966,5194967,5194969,5194970,5194971,5194972,5194973,5194974,5194977,5194978,5194980,5194981,5194982,5194983,5194984,5195050,5195052,5195298,5195299,5195611,5195613,5195616,5195619,5195807,5195808,5196596,5196597,5196598,5196599,5196843,5196844,5197151,5197152,5197153,5197154,5197155,5197156,5197157,5197158,5197159,5197160,5197337,5197338,5198785,5198789,5198794,5198795,5198796,5198797,5198798,5198799,5198805,5198808,5198913,5198917,5198920,5198923,5198924,5198925,5198926,5198927,5198928,5198929,5198930,5198932,5198936,5198939,5198994,5198998,5199002,5199004,5199005,5199006,5199007,5199008,5199009,5199010,5199011,5199013,5199017,5199020,5199166,5199169,5199281,5199282,5199552,5199553,5199556,5199557,5199614,5199615,5199616,5199617,5199751,5199752,5199753,5199754,5208434,5208667,5308093,5308462,5308465,5308466,5309798,5309799,5309800,5309801,5309802,5309804,5309805,5309808,5309810,5309811,5309812,5309815,5309816,5309819,5309820,5309825,5309826,5309827,5309828,5309829,5309830,5309895,5309896,5309897,5309899,5309900,5309901,5309902,5309903,5309904,5309905,5309906,5309907,5309908,5309909,5309910,5309911,5309912,5309913,5309914,5309915,5309916,5309917,5309918,5309919,5309920,5309921,5309922,5309936,5309938,5309939,5309941,5309943,5309953,5309955,5309960,5309962,5309963,5309964,5309966,5309968,5309969,5309971,5309978,5309979,5309980,5309981,5309982,5309983,5309984,5309985,5309987,5309988,5309989,5309990,5309991,5309993,5309994,5309995,5309996,5309997,5309999,5310001,5310003,5310004,5310027,5310030,5310032,5310033,5310037,5310039,5310040,5310041,5310042,5310044,5310045,5310046,5310047,5311762,5312010,5312013,5312014,5315616,5315621,5315622,5315623,5315625,5315635,5315640,5315641,5315642,5315643,5315644,5315646,5315647,5315651,5315654,5315655,5315658,5315661,5316651,5316867,5316869,5320748,5320921,5323643,5323646,5323648,5323652,5323657,5323658,5323659,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5592697,5596434,5597194,5597200,5597578,5605105,5608546,5608548,5617307,5617639 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2 x C2 x C2 x C2, Z^24 x C2^8] : 1350142,5171476,5194959 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2 x C2, Z^20 x C2^5] : 5147403 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2 x C2, Z^21 x C2 x C2 x C2 x C2] : 5332860,5332872,5336093,5351272 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2 x C2, Z^23 x C2 x C2] : 5336156 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2 x C2, Z^24 x C2 x C2 x C2] : 5172255,5198785 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2 x C4, Z^20 x C2 x C2 x C4 x C4 x C4] : 5147093,5336246 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^16 x C2 x C2 x C4 x C8] : 5522408 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^17 x C2^5] : 5197158,5336228,5336239,5522416 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^19 x C2 x C2 x C2 x C2] : 5336587 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^19 x C2 x C2 x C2] : 5351285,5591080,5592307 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^19 x C2 x C2] : 5323842 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^20 x C2 x C2 x C2] : 5147086,5147095,5369518 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^20 x C2 x C2] : 5141167,5336245,5336483 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^20 x C2 x C4] : 5149182,5342346 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^20 x C2] : 5141224,5336094 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^21 x C2 x C2] : 5342359,5351147,5351190,5367302,5506789 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^21 x C2] : 5146191 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^22 x C2] : 5583989 +[0, Z, Z x Z x Z, Z^6, Z^10 x C2, Z^22 x C4 x C4] : 5354317 +[0, Z, Z x Z x Z, Z^6, Z^10 x C3, Z^20 x C3 x C3] : 5354080 +[0, Z, Z x Z x Z, Z^6, Z^10 x C3, Z^21 x C3 x C3] : 5351163,5351181,5351278 +[0, Z, Z x Z x Z, Z^6, Z^10 x C3, Z^21 x C3] : 5342338 +[0, Z, Z x Z x Z, Z^6, Z^10 x C3, Z^22 x C3] : 5336565 +[0, Z, Z x Z x Z, Z^6, Z^10] : 1347614,1350145,1350146,5103297,5105925,5107919,5107920,5107977,5107978,5108182,5108767,5141112,5141114,5141129,5141137,5141168,5141176,5141192,5141226,5141228,5141265,5141274,5141276,5145433,5145607,5145609,5145967,5146194,5146196,5146216,5146230,5146278,5146282,5146288,5147406,5149158,5149192,5149551,5149552,5150070,5150341,5170912,5170914,5171360,5171471,5171482,5171485,5171487,5171488,5171923,5172357,5172362,5178282,5187841,5187844,5188661,5188775,5194472,5194952,5194962,5194971,5194977,5194981,5194982,5194983,5195616,5196596,5196598,5196599,5196843,5197152,5197153,5197155,5197156,5197157,5197338,5198808,5198920,5199013,5309802,5309913,5309916,5309920,5309921,5309953,5310004,5315623,5323648,5323664,5323676,5323788,5323790,5323792,5323795,5323798,5323799,5323818,5323821,5323828,5323830,5323839,5323919,5323924,5327303,5327311,5327314,5327315,5327317,5327321,5327863,5328110,5328849,5329317,5329319,5332864,5332867,5336064,5336068,5336079,5336080,5336138,5336152,5336154,5336187,5336196,5336199,5336210,5336223,5336225,5336227,5336231,5336238,5336248,5336253,5336274,5336286,5336289,5336294,5336295,5336329,5336342,5336345,5336352,5336367,5336369,5336371,5336373,5336393,5336406,5336409,5336410,5336414,5336415,5336421,5336427,5336430,5336434,5336446,5336447,5336451,5336460,5336486,5336489,5336503,5336505,5336512,5336534,5336535,5336537,5336561,5336569,5336582,5336584,5336589,5336599,5337155,5337995,5342329,5342333,5342342,5342348,5342351,5342358,5342361,5342770,5343367,5346883,5347248,5347250,5347251,5347795,5347798,5347799,5347800,5347801,5347802,5348003,5348321,5351151,5351264,5351265,5351310,5351314,5351325,5351388,5351413,5351545,5351547,5352042,5352044,5352545,5352553,5352556,5352829,5353170,5353172,5354039,5354040,5354042,5354047,5354049,5354054,5354077,5354085,5354318,5354683,5354849,5355115,5355117,5355118,5355323,5355410,5355412,5355413,5356676,5356677,5356678,5356702,5356708,5356997,5357434,5358406,5358407,5358864,5361638,5361640,5367229,5367298,5367301,5367308,5367309,5367332,5367395,5367398,5367404,5367408,5368043,5369517,5369519,5369520,5369523,5369527,5369534,5369542,5369543,5369544,5369545,5370334,5370828,5370838,5448102,5448105,5448107,5448108,5448229,5448373,5448736,5448742,5448869,5449191,5467567,5467568,5495466,5495470,5495473,5495474,5495478,5495570,5496115,5497332,5500922,5501467,5502349,5506700,5506707,5506791,5506792,5506837,5506844,5506909,5506924,5507062,5507709,5508763,5512363,5512375,5514579,5522421,5522511,5523484,5523496,5527418,5528287,5584449,5584451,5590870,5590882,5597200 +[0, Z, Z x Z x Z, Z^6, Z^11 x C2 x C2 x C2, Z^29 x C2 x C2 x C2 x C2] : 5336671,5337989 +[0, Z, Z x Z x Z, Z^6, Z^11 x C2 x C2, Z^25 x C2^7] : 5370332,5370590 +[0, Z, Z x Z x Z, Z^6, Z^11 x C2, Z^23 x C2 x C2 x C2] : 5194980,5324032,5324368,5336542,5338688,5522423 +[0, Z, Z x Z x Z, Z^6, Z^11 x C2, Z^24 x C2 x C2] : 5108691,5141209,5145919,5146285,5146286,5149197,5149559,5199020,5308465,5309911,5312013,5323671,5323791,5336092,5336247,5336302,5336544,5342326,5512368 +[0, Z, Z x Z x Z, Z^6, Z^11 x C2, Z^25 x C2 x C2] : 5338000,5338003 +[0, Z, Z x Z x Z, Z^6, Z^11 x C2, Z^25 x C2] : 5149266,5149401,5309996,5336157 +[0, Z, Z x Z x Z, Z^6, Z^11 x C3, Z^24 x C3 x C3] : 5309912,5367226 +[0, Z, Z x Z x Z, Z^6, Z^11] : 1352061,4401418,4982979,5103777,5106155,5106641,5107874,5107877,5108181,5141013,5141014,5141071,5141074,5141120,5141136,5141142,5141196,5141217,5141230,5141275,5141285,5141288,5141289,5144561,5144649,5145608,5145704,5145916,5145917,5145966,5145968,5146050,5146207,5146211,5146218,5146232,5146296,5148312,5148332,5149195,5149264,5149354,5149402,5149548,5149549,5149557,5149561,5149562,5149728,5150339,5150791,5170915,5170918,5170919,5171049,5171474,5171716,5172258,5172352,5172355,5172356,5172358,5172364,5187077,5187850,5187851,5187853,5188130,5188666,5194474,5194639,5194956,5194960,5194973,5194978,5194984,5195619,5195807,5196844,5197337,5198789,5198794,5198917,5198925,5198927,5198929,5198936,5198994,5198998,5199002,5199615,5199751,5309801,5309820,5309905,5309917,5309955,5309968,5309989,5309993,5310003,5310027,5310033,5310037,5310039,5310040,5310044,5310046,5315642,5315661,5323662,5323679,5323682,5323780,5323796,5323825,5323826,5324031,5324034,5324367,5324369,5324370,5324679,5324682,5324687,5325280,5325281,5327306,5327390,5327684,5327859,5327860,5328847,5329122,5329124,5329727,5332863,5332866,5335270,5336063,5336071,5336083,5336085,5336102,5336141,5336146,5336159,5336182,5336188,5336193,5336201,5336206,5336207,5336211,5336222,5336226,5336229,5336233,5336236,5336251,5336270,5336280,5336282,5336290,5336293,5336300,5336306,5336307,5336314,5336330,5336338,5336344,5336355,5336356,5336380,5336388,5336404,5336412,5336419,5336423,5336426,5336439,5336443,5336445,5336453,5336456,5336462,5336467,5336470,5336488,5336491,5336499,5336507,5336516,5336517,5336545,5336564,5336574,5336576,5336586,5336594,5336597,5337154,5337999,5338257,5338258,5342323,5342347,5342430,5342432,5342769,5343364,5343370,5343599,5343990,5346885,5346887,5347793,5347796,5347797,5347803,5347804,5351164,5351169,5351170,5351180,5351262,5351271,5351274,5351280,5351287,5351291,5351294,5351303,5351316,5351544,5352041,5352043,5352548,5352555,5352557,5354045,5354046,5354053,5354060,5354066,5354071,5354079,5354126,5354315,5354517,5354850,5355116,5355199,5355202,5356778,5356995,5357302,5358149,5358150,5358151,5358404,5358405,5358538,5358541,5358689,5361639,5361647,5361650,5365072,5365073,5367306,5367307,5367323,5367329,5367334,5367410,5367534,5367535,5367537,5367538,5367812,5367813,5367814,5367815,5368041,5368044,5368045,5368046,5369510,5369511,5369515,5369516,5369622,5369842,5370039,5370194,5370591,5370592,5370983,5448106,5448230,5448317,5448667,5448706,5448707,5448708,5448729,5448732,5448734,5448870,5448957,5449043,5449194,5449198,5449199,5449201,5449207,5449208,5449209,5495472,5495475,5495477,5495573,5496116,5497109,5500924,5501468,5502572,5506693,5506784,5506786,5506787,5506799,5506824,5506828,5506832,5506835,5506841,5506907,5506913,5506917,5506919,5507064,5507710,5508755,5508762,5509041,5512367,5512374,5512377,5512378,5512380,5512385,5512388,5512389,5512390,5512395,5514583,5517560,5518071,5518072,5518581,5518904,5518907,5522392,5522396,5522399,5522402,5522404,5522406,5522407,5522410,5523487,5552990,5552991,5552993,5583986,5590878,5590879,5590880,5590881,5590886,5590890 +[0, Z, Z x Z x Z, Z^6, Z^12 x C2, Z^28 x C2 x C2] : 5309994,5336155 +[0, Z, Z x Z x Z, Z^6, Z^12 x C2, Z^29 x C2 x C2] : 5171588,5195299 +[0, Z, Z x Z x Z, Z^6, Z^12 x C2, Z^29 x C2] : 5315646 +[0, Z, Z x Z x Z, Z^6, Z^12 x C2, Z^31 x C2] : 5351162 +[0, Z, Z x Z x Z, Z^6, Z^12 x C4, Z^30 x C2 x C4] : 5338001 +[0, Z, Z x Z x Z, Z^6, Z^12] : 1350141,1352021,1352023,1352051,1352054,1352074,1352077,3016770,3073995,3086877,3087624,3087983,3088062,4401383,4401394,4401411,4402164,4411915,4412041,4413598,4982978,5103780,5107918,5108174,5108408,5108516,5108690,5109657,5109658,5141011,5141012,5141015,5141049,5141050,5141064,5141072,5141107,5141113,5141133,5141134,5141139,5141140,5141195,5141221,5141222,5141227,5141286,5141316,5141318,5144563,5146212,5146273,5146593,5148043,5148310,5148313,5149400,5149599,5149675,5150071,5150762,5167210,5169702,5170311,5170330,5170920,5171118,5171361,5171475,5171639,5171921,5172253,5172261,5172350,5172505,5176531,5178135,5178281,5187074,5187166,5187993,5194260,5194475,5194957,5194958,5195052,5195611,5195613,5196597,5197151,5197154,5197159,5198796,5198798,5199281,5199553,5199616,5199752,5308093,5308462,5308466,5309798,5309799,5309800,5309804,5309805,5309811,5309812,5309815,5309816,5309819,5309825,5309826,5309827,5309829,5309830,5309895,5309896,5309897,5309899,5309900,5309901,5309902,5309908,5309918,5309922,5309938,5309939,5309943,5309963,5309969,5309971,5309978,5309979,5309980,5309981,5309982,5309983,5309984,5309985,5309988,5310001,5310032,5310041,5310047,5311762,5312010,5312014,5315616,5315621,5315622,5315625,5315635,5315640,5315641,5315643,5315647,5315651,5315654,5315655,5315658,5316651,5316869,5320748,5320921,5323643,5323646,5323658,5323659,5323661,5323668,5323776,5323777,5323783,5323786,5323834,5324035,5324683,5324684,5327295,5327296,5328337,5328848,5329123,5332854,5332855,5332856,5332857,5332861,5332862,5332865,5332868,5332869,5332870,5332873,5332878,5332879,5333430,5333433,5333594,5333596,5335415,5336061,5336062,5336078,5336098,5336132,5336133,5336134,5336137,5336140,5336147,5336148,5336150,5336158,5336163,5336179,5336191,5336197,5336205,5336209,5336242,5336244,5336250,5336273,5336281,5336285,5336288,5336291,5336298,5336301,5336309,5336312,5336315,5336334,5336383,5336385,5336390,5336391,5336417,5336424,5336441,5336454,5336458,5336459,5336514,5336529,5336530,5336563,5336575,5336579,5336591,5336593,5336668,5336669,5337152,5337153,5337992,5342321,5342322,5342337,5342340,5342350,5343600,5351150,5351166,5351177,5351277,5351293,5351307,5351548,5352549,5352550,5352551,5354057,5354069,5354851,5354853,5355196,5355200,5355201,5361630,5361631,5361635,5361636,5361637,5361642,5361643,5361644,5361648,5361649,5361651,5361652,5361654,5361655,5362463,5362608,5362611,5362612,5365070,5365201,5365202,5365203,5367221,5367225,5367292,5367293,5367294,5367297,5367324,5368042,5368047,5368049,5370043,5370331,5370589,5372726,5447771,5448709,5448713,5448960,5448961,5449044,5449190,5449192,5449195,5449197,5449212,5456130,5467569,5473423,5490611,5495471,5495572,5500923,5500925,5502347,5502348,5502350,5506781,5506785,5506788,5506790,5506797,5506902,5507065,5507066,5508758,5508759,5509042,5512362,5512365,5512369,5512371,5512372,5512393,5512442,5512724,5513843,5514586,5517562,5518576,5518578,5522390,5522391,5522394,5522395,5522398,5522403,5522419,5522420,5522512,5522994,5523485,5523928,5527416,5527417,5527950,5527951,5528286,5528289,5536210,5552613,5552992,5559320,5564682,5564684,5583982,5583990,5591079,5592306,5592308,5592314,5592697,5597578 +[0, Z, Z x Z x Z, Z^6, Z^13 x C2, Z^30 x C2 x C2 x C2 x C2] : 5188919 +[0, Z, Z x Z x Z, Z^6, Z^13 x C2, Z^34 x C2] : 5145435,5145920 +[0, Z, Z x Z x Z, Z^6, Z^13, Z^30] : 5170291,5170905,5186983,5187305,5187832,5187839,5187859,5188496,5336558,5447437,5467450,5583202,5590860 +[0, Z, Z x Z x Z, Z^6, Z^13, Z^31] : 5309808,5309810,5309964,5315644,5316867,5336100,5367224,5369621,5370038,5515003,5583988 +[0, Z, Z x Z x Z, Z^6, Z^13, Z^32] : 1349918,1349919,5107695,5146220,5170916,5170917,5187848,5187849,5199617,5325282,5327387,5327388,5327682,5327683,5336562,5369620,5369841,5448719,5448730,5449193,5506804,5506825,5512366,5517563,5517564,5518579,5518580,5528759 +[0, Z, Z x Z x Z, Z^6, Z^13, Z^33] : 5108183,5108689,5108766,5149265,5149399,5309960,5309999,5336070,5336089,5336091,5336162,5343365,5343372,5351305,5367536,5368040,5372734,5617307,5617639 +[0, Z, Z x Z x Z, Z^6, Z^13, Z^34] : 5108251,5145702,5145778,5172501,5199166,5208434,5208667,5309995,5367320,5367322,5369619,5369840,5590895 +[0, Z, Z x Z x Z, Z^6, Z^14, Z^35] : 5109812,5172353,5187855,5198923,5336186,5336557,5342429,5342768,5469742,5590848,5596434 +[0, Z, Z x Z x Z, Z^6, Z^14, Z^36] : 1352075,4411985,4412055,5141073,5141169,5141189,5141194,5141212,5141216,5146588,5146592,5147401,5147405,5309966,5309991,5310042,5336143,5336310,5343371,5500926,5513097 +[0, Z, Z x Z x Z, Z^6, Z^14, Z^37] : 1352022,5107694,5171357,5194468,5309828,5309936,5309941,5323657,5327391,5327861,5336057,5336074,5517561,5518575,5605105,5608546,5608548 +[0, Z, Z x Z x Z, Z^6, Z^15, Z^39] : 3074770,3074774,5107737,5107741,5141065,5141069,5141075,5141079,5141165,5141166,5146290,5146291,5172504,5199169,5372722 +[0, Z, Z x Z x Z, Z^6, Z^15, Z^40] : 5107876,5146280,5336326,5336353,5336431,5351302 +[0, Z, Z x Z x Z, Z^6, Z^9 x C2 x C2 x C2, Z^18 x C2^6] : 4402166,4411917,4411934,4411957,5103798,5108186,5141174,5141175,5141272,5141273,5171851,5187992,5188129,5195050,5195298 +[0, Z, Z x Z x Z, Z^6, Z^9 x C2 x C2] : 5108184,5141266,5336099,5336243,5336466,5336474,5338002,5347805,5351196,5367397 +[0, Z, Z x Z x Z, Z^6, Z^9 x C2 x C6, Z^16 x C2 x C2 x C6 x C6] : 5351420 +[0, Z, Z x Z x Z, Z^6, Z^9 x C2 x C6, Z^18 x C2 x C2 x C6] : 5141127 +[0, Z, Z x Z x Z, Z^6, Z^9 x C2] : 5141125,5141178,5146281,5149555,5172347,5187847,5187852,5194972,5198913,5198928,5309903,5323778,5327297,5327300,5327301,5327302,5327320,5336153,5336303,5336308,5336376,5336413,5336471,5336473,5336540,5336543,5336592,5342327,5342344,5351155,5351159,5351268,5351286,5351385,5351395,5351399,5351400,5354043,5356688,5356689,5356691,5367304,5369524,5448669,5506696,5522397,5522400,5522510,5522993,5584450 +[0, Z, Z x Z x Z, Z^6, Z^9 x C2^5] : 5199009 +[0, Z, Z x Z x Z, Z^6, Z^9 x C3 x C3, Z^22 x C3 x C3 x C3] : 5354852,5355197 +[0, Z, Z x Z x Z, Z^6, Z^9 x C3, Z^15 x C3 x C3 x C3] : 5309915,5323794 +[0, Z, Z x Z x Z, Z^6, Z^9 x C3, Z^16 x C3] : 5369512 +[0, Z, Z x Z x Z, Z^6, Z^9 x C3, Z^17 x C3 x C3 x C3] : 5199614,5336508 +[0, Z, Z x Z x Z, Z^6, Z^9 x C3, Z^17 x C3 x C3] : 5336560 +[0, Z, Z x Z x Z, Z^6, Z^9] : 5141046,5141051,5141081,5141082,5141083,5141110,5141135,5141141,5141170,5141171,5141177,5141214,5141223,5141225,5141267,5145918,5146209,5146221,5146231,5146233,5146235,5146237,5146276,5146279,5146287,5146292,5146293,5146294,5146295,5146297,5146457,5146590,5147084,5147088,5147089,5147091,5147096,5147260,5148042,5148044,5148148,5148311,5149156,5149159,5149181,5149188,5149190,5149193,5149194,5149355,5149550,5149553,5149554,5149556,5149676,5171479,5171481,5172260,5172267,5172354,5172360,5187167,5188664,5194476,5194966,5194967,5194969,5194970,5194974,5195808,5197160,5198795,5198797,5198799,5198805,5198924,5198926,5198930,5198932,5198939,5199004,5199005,5199006,5199007,5199008,5199010,5199011,5199017,5199282,5199552,5199556,5199557,5199753,5199754,5309904,5309906,5309907,5309909,5309910,5309914,5309919,5309962,5309987,5309990,5309997,5310030,5310045,5323652,5323660,5323663,5323665,5323673,5323684,5323687,5323779,5323781,5323782,5323784,5323785,5323787,5323789,5323793,5323797,5323827,5323837,5323907,5323910,5323912,5323913,5323914,5323915,5323916,5323917,5323922,5323926,5323929,5323931,5324685,5324688,5324689,5324946,5324947,5324948,5327298,5327299,5327304,5327305,5327307,5327308,5327309,5327310,5327312,5327313,5327316,5327318,5327319,5327862,5328111,5328850,5328851,5329318,5329320,5329321,5329507,5336066,5336096,5336097,5336136,5336139,5336142,5336144,5336149,5336151,5336160,5336184,5336185,5336195,5336200,5336202,5336208,5336230,5336234,5336240,5336249,5336276,5336278,5336292,5336305,5336313,5336346,5336347,5336348,5336350,5336354,5336358,5336360,5336361,5336362,5336363,5336366,5336368,5336374,5336375,5336378,5336379,5336381,5336382,5336384,5336386,5336387,5336389,5336392,5336403,5336405,5336407,5336408,5336411,5336416,5336420,5336422,5336432,5336440,5336442,5336452,5336455,5336461,5336463,5336464,5336465,5336468,5336469,5336472,5336477,5336480,5336481,5336482,5336490,5336531,5336533,5336536,5336538,5336539,5336546,5336568,5336580,5336583,5338259,5342324,5342325,5342328,5342330,5342331,5342332,5342334,5342335,5342336,5342339,5342341,5342343,5342345,5342349,5342352,5342353,5342354,5342355,5342356,5342357,5342360,5343373,5343601,5346884,5346886,5347249,5347794,5348002,5348004,5351152,5351153,5351165,5351167,5351168,5351171,5351172,5351173,5351174,5351175,5351182,5351184,5351187,5351191,5351192,5351194,5351263,5351266,5351267,5351269,5351270,5351273,5351275,5351279,5351281,5351284,5351295,5351297,5351300,5351304,5351326,5351389,5351391,5351397,5351398,5351401,5351403,5351407,5351411,5351421,5352558,5352559,5352828,5352830,5353171,5354041,5354044,5354048,5354050,5354051,5354052,5354055,5354056,5354062,5354067,5354068,5354074,5354078,5354082,5354127,5354316,5355198,5355322,5355324,5355411,5356679,5356680,5356681,5356682,5356683,5356684,5356685,5356686,5356687,5356690,5356692,5356695,5356699,5356700,5356701,5356704,5356705,5356706,5356707,5356779,5356780,5356781,5356996,5357154,5357155,5357156,5357159,5358152,5358539,5358540,5358545,5367227,5367233,5367295,5367296,5367299,5367300,5367303,5367305,5367392,5367396,5367400,5368048,5368050,5368051,5368052,5368053,5368054,5369513,5369514,5369521,5369522,5369525,5369526,5369528,5369529,5369530,5369538,5370040,5370045,5370333,5370827,5370829,5370830,5370834,5448110,5448672,5448674,5448703,5448711,5448726,5448735,5448738,5448741,5449200,5449203,5495481,5506704,5506706,5506780,5506795,5506820,5506836,5506839,5506843,5506906,5506915,5506916,5506921,5512379,5512382,5518577,5518582,5518583,5518584,5522393,5522401,5522405,5522409,5522412,5522422,5522427,5523486,5523492,5528288,5528293,5583991,5583994,5584452,5590864,5592309,5592318,5597194 [0, Z, Z x Z x Z, Z^7] : 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diff --git a/data_by_min_ideal/order9/min_2_2_1/README.md b/data_by_min_ideal/order9/min_2_2_1/README.md index d5fce09..d7aa2f8 100644 --- a/data_by_min_ideal/order9/min_2_2_1/README.md +++ b/data_by_min_ideal/order9/min_2_2_1/README.md @@ -129,18 +129,21 @@ Count | 𝐻₁ | 𝐻₂ | 𝐻₃ | 𝐻₄ | 𝐻₅ | 𝐻₆ | 𝐻₇ | 7 | · | ℤ | ℤ²×𝐶₂ | ℤ⁴×𝐶₂³ | ℤ⁸×𝐶₂¹⁰ | ℤ¹⁶×𝐶₂²⁹ | ℤ³²×𝐶₂⁸³ | ℤ⁶⁴×𝐶₂²³⁰ | ? | ? 3 | · | ℤ | ℤ²×𝐶₃ | ℤ⁴×𝐶₃⁴ | ℤ⁸×𝐶₃¹⁵ | ℤ¹⁶×𝐶₃⁵⁰ | ℤ³²×𝐶₃¹⁶¹ | ℤ⁶⁴×𝐶₃⁵⁰⁴ | ℤ¹²⁸×𝐶₃¹⁵⁵⁵ | ℤ²⁵⁶×𝐶₃⁴⁷⁵⁰ 4 | · | ℤ | ℤ³×𝐶₂ | ℤ⁹×𝐶₂⁶ | ℤ²⁷×𝐶₂³¹ | ℤ⁸¹×𝐶₂¹⁴⁴ | ℤ²⁴³×𝐶₂⁶³⁷ | ℤ⁷²⁹×𝐶₂²⁷³⁰ | ? | ? -2913 | · | ℤ | ℤ⁴ | ℤ¹⁵ | ? | ? | ? | ? | ? | ? -78 | · | ℤ | ℤ⁴ | ℤ¹⁶ | ℤ⁶⁴ | ℤ²⁵⁶ | ℤ¹⁰²⁴ | ? | ? | ? -1 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁵×𝐶₂ | ℤ³¹×𝐶₂⁶ | ? | ? | ? | ? -1051 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁵ | ? | ? | ? | ? | ? -22 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁶ | ℤ³⁸ | ? | ? | ? | ? -31 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁷ | ℤ⁴³ | ? | ? | ? | ? -4 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁹ | ℤ⁵¹ | ? | ? | ? | ? +2913 | · | ℤ | ℤ⁴ | ℤ¹⁵ | ℤ⁵⁶ | ? | ? | ? | ? | ? +78 | · | ℤ | ℤ⁴ | ℤ¹⁶ | ℤ⁶⁴ | ℤ²⁵⁶ | ℤ¹⁰²⁴ | ℤ⁴⁰⁹⁶ | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁵×𝐶₂ | ℤ³¹×𝐶₂⁶ | ℤ⁶³×𝐶₂²¹×𝐶₄ | ? | ? | ? +1 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁵ | ℤ³¹×𝐶₂² | ℤ⁶³×𝐶₂⁸×𝐶₄ | ? | ? | ? +1041 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁵ | ℤ³¹ | ? | ? | ? | ? +9 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁵ | ℤ³³ | ℤ⁷⁴ | ? | ? | ? +22 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁶ | ℤ³⁸ | ℤ⁹¹ | ? | ? | ? +31 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁷ | ℤ⁴³ | ℤ¹⁰⁷ | ? | ? | ? +4 | · | ℤ | ℤ³ | ℤ⁷ | ℤ¹⁹ | ℤ⁵¹ | ℤ¹³¹ | ? | ? | ? 1 | · | ℤ | ℤ³ | ℤ⁸ | ℤ²¹×𝐶₂ | ℤ⁵⁵×𝐶₂⁵ | ? | ? | ? | ? -1199 | · | ℤ | ℤ³ | ℤ⁸ | ℤ²¹ | ? | ? | ? | ? | ? -81 | · | ℤ | ℤ³ | ℤ⁸ | ℤ²² | ℤ⁶¹ | ? | ? | ? | ? -12 | · | ℤ | ℤ³ | ℤ⁸ | ℤ²³ | ℤ⁶⁵ | ? | ? | ? | ? -698 | · | ℤ | ℤ³ | ℤ⁹ | ℤ²⁷ | ℤ⁸¹ | ? | ? | ? | ? +1199 | · | ℤ | ℤ³ | ℤ⁸ | ℤ²¹ | ℤ⁵⁵ | ? | ? | ? | ? +16 | · | ℤ | ℤ³ | ℤ⁸ | ℤ²² | ℤ⁶¹ | ℤ¹⁶⁸ | ? | ? | ? +65 | · | ℤ | ℤ³ | ℤ⁸ | ℤ²² | ℤ⁶¹ | ℤ¹⁶⁹ | ? | ? | ? +12 | · | ℤ | ℤ³ | ℤ⁸ | ℤ²³ | ℤ⁶⁵ | ℤ¹⁸³ | ? | ? | ? +698 | · | ℤ | ℤ³ | ℤ⁹ | ℤ²⁷ | ℤ⁸¹ | ℤ²⁴³ | ? | ? | ? 3867 | · | ℤ | ℤ² | ℤ⁴ | ℤ⁸ | ℤ¹⁶ | ℤ³² | ℤ⁶⁴ | ? | ? 988 | · | ℤ | ℤ² | ℤ³ | ℤ⁴ | ℤ⁵ | ℤ⁶ | ℤ⁷ | ? | ? 2 | · | ℤ | ℤ² | ℤ³ | ℤ⁴ | ℤ⁶ | ℤ⁹ | ℤ¹⁴ | ? | ? diff --git a/data_by_min_ideal/order9/min_2_2_1/groupings.txt b/data_by_min_ideal/order9/min_2_2_1/groupings.txt index 3ef99ca..a4b203a 100644 --- a/data_by_min_ideal/order9/min_2_2_1/groupings.txt +++ b/data_by_min_ideal/order9/min_2_2_1/groupings.txt @@ -124,18 +124,21 @@ [0, Z, Z x Z x C2, Z x Z x Z x Z x C2 x C2 x C2, Z^8 x C2^10, Z^16 x C2^29, Z^32 x C2^83, Z^64 x C2^230] : 32432,32456,109069,115170,115177,116492,116507 [0, Z, Z x Z x C3, Z x Z x Z x Z x C3 x C3 x C3 x C3, Z^8 x C3^15, Z^16 x C3^50, Z^32 x C3^161, Z^64 x C3^504, Z^128 x C3^1555, Z^256 x C3^4750] : 3110,24188,30846 [0, Z, Z x Z x Z x C2, Z^9 x C2^6, Z^27 x C2^31, Z^81 x C2^144, Z^243 x C2^637, Z^729 x C2^2730] : 24427,31433,109035,111328 -[0, Z, Z x Z x Z x Z, Z^15] : 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-[0, Z, Z x Z x Z x Z, Z^16, Z^64, Z^256, Z^1024] : 6662,8886,18608,24825,26046,26081,26092,26510,27801,29024,29106,30190,30233,30805,30838,30924,35471,36018,37445,40384,40456,50046,50201,52811,52887,53318,58479,58560,61040,64266,66021,66528,66628,71391,72867,73365,74148,76359,76845,77103,77358,78677,81374,82543,82569,84948,85561,85656,112398,112533,114507,114621,114980,121452,121580,124051,124162,124520,144116,144179,144316,148632,148704,148945,154623,157305,172191,172425,172501,184039,184358,184417,224343,224382,224859,224865,224895,225606 -[0, Z, Z x Z x Z, Z^7, Z^15 x C2, Z^31 x C2^6] : 209012 -[0, Z, Z x Z x Z, Z^7, Z^15] : 26515,40393,44286,44316,44700,44715,44721,45051,45057,48277,48294,48828,48832,67511,67532,67736,70464,70487,71337,71589,71606,72709,72894,72906,73460,78221,81021,81036,81084,81104,81107,81114,81454,84504,86176,86505,91588,92028,92112,92261,92335,92378,92418,92456,92461,92465,92482,92509,92521,92527,92551,92597,92603,92614,92640,92868,92877,92895,97019,97049,98018,98050,98052,98147,98159,98650,98707,98744,98765,98788,98794,98803,98818,98929,98947,98951,99160,99295,99306,99735,99762,99769,99777,99784,99792,99802,99804,99815,99884,99886,100055,100057,100192,113284,113287,115881,115913,116229,116246,135751,135762,135769,135782,135801,135823,135829,136729,136739,136742,136744,136760,136853,136869,136883,136937,136982,136986,136989,136994,136995,137401,137405,137416,137445,137454,137456,137465,137786,137842,137853,137872,137896,137897,137902,137905,137909,138175,138192,138255,139290,139297,141374,141391,141644,141668,141672,141679,142086,142096,142269,142272,142317,142325,142348,142352,142530,142548,143100,143115,143124,143600,143610,143621,153487,153501,153503,153510,153733,153772,153809,153812,153814,153827,153852,153855,153987,153992,153996,154048,154059,154061,154086,154110,154113,154125,154146,154148,154149,154272,154291,154305,154312,154321,154323,154329,154359,154392,154395,154406,154414,154420,154487,154515,154606,158382,158412,158995,159005,159011,159255,159259,159285,159501,159786,159795,159813,159829,159832,159870,159875,159880,159885,159890,159924,159927,159943,160124,160126,160142,160192,160194,160213,160221,160270,160278,160281,160287,160317,160319,160321,160328,160331,160338,160354,160356,160359,160366,160476,160484,160493,160503,161165,161171,161180,161182,161906,161918,161923,162289,162301,162305,162510,162696,162763,162776,162778,162783,162790,162796,162804,162817,162819,162823,162828,162839,162846,162848,162995,163000,163013,163015,163428,163725,163728,163887,164690,164712,164738,164741,164751,164759,165071,165104,165108,165119,165124,165171,165179,165186,165188,165191,165194,165205,165215,165497,165525,165539,165543,165553,166644,166701,166710,166712,166719,166731,166733,166859,166865,166884,166886,166891,167380,167383,167389,167755,167762,167765,167767,167775,167781,167788,167802,167808,167811,167820,167827,167879,167919,167922,167935,167937,167940,167947,167949,167956,167959,167968,167971,167973,167982,167989,168006,168036,168042,168050,168074,168083,168086,168088,168094,168103,168109,168140,168142,168151,168154,168298,168316,168327,168336,168429,168438,168453,168487,168494,168496,168498,168504,168506,168613,168617,168626,168631,168638,169829,169877,169884,169888,169893,169914,169920,170055,170057,170063,170065,170067,170532,170539,170541,171733,172022,172043,207036,207083,207086,207092,207095,207096,207100,207103,207104,207105,207137,207144,207145,207148,207153,207155,207157,207160,207165,207167,207205,207208,207211,207227,207244,207350,207397,207400,207414,207417,207419,207426,207427,207429,207461,207471,207473,207476,207486,207494,207496,207513,207517,207532,207540,207542,207543,207545,207639,207653,207694,207697,207703,207708,207721,207733,207751,207754,207756,207760,207877,207886,207888,207891,207895,207940,207953,207959,207974,208004,208006,208008,208075,208079,208085,208087,208090,208093,208096,208097,208099,208100,208101,208102,208103,208104,208107,208140,208225,208228,208243,208252,208265,208270,208271,208274,208282,208300,208313,208323,208325,208341,208344,208353,208356,208362,208366,208367,208425,208453,208457,208458,208469,208474,208475,208522,208525,208526,208529,208531,208532,208535,208638,208641,208643,208657,208663,208664,208666,208692,208704,208706,208712,208748,208749,208750,208751,208756,208772,208775,208776,208782,208785,208790,208847,208852,208854,208863,208866,208872,208873,208875,208940,208970,208973,208979,208981,208982,208983,208985,208987,208990,208993,208995,209005,209007,209008,209009,209010,209011,209051,209052,209055,209057,209065,209067,209072,209074,209078,209080,209084,209088,209091,209093,209094,209095,209096,209110,209132,209143,209146,209149,209151,209153,209155,209197,209220,209227,209241,209255,209280,209281,209285,209287,209291,209296,209298,209302,209314,209329,209331,209333,209355,209365,209370,209373,209375,209380,209381,209393,209400,209412,209422,209432,209433,209479,209481,209482,209484,209485,209486,209488,209489,209490,209491,209494,209496,209497,209499,209501,209502,209503,209505,209506,209520,209543,209554,209555,209572,209575,209576,209577,209578,209579,209587,209609,209610,209611,209613,209616,209622,209624,209626,209627,209631,209632,209633,209638,209650,209651,209652,209654,209656,209657,209658,209661,209663,209676,209726,209729,209730,209731,209732,209733,209782,209801,209814,209815,209834,209835,209839,209857,209860,209862,209880,209937,209948,209954,209970,209972,209977,209980,210003,210065,210072,210094,210098,210104,210110,210124,210158,210160,210172,210214,210232,210277,210305,210323,210326,210327,210332,210334,210335,210361,210407,2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-[0, Z, Z x Z x Z, Z^7, Z^16, Z^38] : 39590,39595,72914,86188,86347,98156,98652,160376,163011,163708,163723,207666,207685,207690,207712,207720,208246,209148,209952,214259,214748,214888 -[0, Z, Z x Z x Z, Z^7, Z^17, Z^43] : 67526,113281,136894,136933,137294,138295,142094,142315,142346,154561,159245,159939,160276,160482,162287,164723,167779,168308,207636,208153,208220,209019,209040,214807,214844,215208,220707,220711,221721,221723,221725 -[0, Z, Z x Z x Z, Z^7, Z^19, Z^51] : 137351,137397,139519,211034 +[0, Z, Z x Z x Z x Z, Z^15, Z^56] : 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+[0, Z, Z x Z x Z x Z, Z^16, Z^64, Z^256, Z^1024, Z^4096] : 6662,8886,18608,24825,26046,26081,26092,26510,27801,29024,29106,30190,30233,30805,30838,30924,35471,36018,37445,40384,40456,50046,50201,52811,52887,53318,58479,58560,61040,64266,66021,66528,66628,71391,72867,73365,74148,76359,76845,77103,77358,78677,81374,82543,82569,84948,85561,85656,112398,112533,114507,114621,114980,121452,121580,124051,124162,124520,144116,144179,144316,148632,148704,148945,154623,157305,172191,172425,172501,184039,184358,184417,224343,224382,224859,224865,224895,225606 +[0, Z, Z x Z x Z, Z^7, Z^15 x C2, Z^31 x C2^6, Z^63 x C2^21 x C4] : 209012 +[0, Z, Z x Z x Z, Z^7, Z^15, Z^31 x C2 x C2, Z^63 x C2^8 x C4] : 208993 +[0, Z, Z x Z x Z, Z^7, Z^15, Z^31] : 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+[0, Z, Z x Z x Z, Z^7, Z^15, Z^33, Z^74] : 67511,67736,73460,160359,167947,209241,220704,221695,223075 +[0, Z, Z x Z x Z, Z^7, Z^16, Z^38, Z^91] : 39590,39595,72914,86188,86347,98156,98652,160376,163011,163708,163723,207666,207685,207690,207712,207720,208246,209148,209952,214259,214748,214888 +[0, Z, Z x Z x Z, Z^7, Z^17, Z^43, Z^107] : 67526,113281,136894,136933,137294,138295,142094,142315,142346,154561,159245,159939,160276,160482,162287,164723,167779,168308,207636,208153,208220,209019,209040,214807,214844,215208,220707,220711,221721,221723,221725 +[0, Z, Z x Z x Z, Z^7, Z^19, Z^51, Z^131] : 137351,137397,139519,211034 [0, Z, Z x Z x Z, Z^8, Z^21 x C2, Z^55 x C2^5] : 209580 -[0, Z, Z x Z x Z, Z^8, Z^21] : 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5947,6428,6660,8343,8882,8885,9371,9381,10008,10882,11721,13429,18885,18975,19076,19086,24266,24349,24521,24829,26056,26067,26071,26073,26078,26090,26149,26518,26523,26530,26564,26570,26579,26640,26671,26697,26735,27863,27931,27959,29026,29171,29545,29582,30192,30206,30210,30213,30238,30258,30282,30726,30758,30808,30818,31379,31401,31445,35481,36020,36156,36363,36403,36451,36457,37454,37488,37505,38063,38297,38589,39290,39510,39516,39581,39713,40386,40458,40626,40636,40687,40770,41328,41384,41483,41753,41808,41866,42821,42899,42992,44791,45047,45388,45589,45750,45819,46617,47070,47348,48775,49773,50053,50204,50272,50363,50416,50468,50522,50710,50728,50782,51007,51779,52006,52041,52820,52897,52946,52967,52991,53331,53509,53875,53937,54062,56582,56679,57134,57208,57949,58195,58279,58310,58362,58418,58423,58427,58460,58462,58476,58481,58551,58731,58795,58838,59116,59585,59637,59760,59776,60544,60811,60858,60997,61032,61034,61038,61052,62385,62587,62900,63329,63397,63608,63698,64188,64306,64315,64669,64688,64703,65056,65394,65512,66036,66089,66108,66120,66413,66530,67784,68167,68448,68522,68541,68555,69583,70138,70290,70293,70302,70357,70391,70530,70871,71158,71223,71233,71389,71411,72017,72314,72675,72870,72880,72916,72923,73009,73026,73368,73476,73617,74017,74151,74205,74217,74226,74441,74506,74940,75289,75302,75927,76132,76142,76327,76343,76352,76385,76391,76747,76848,76868,76891,76903,76950,77046,77094,77361,77461,77568,77579,77601,77643,77932,77956,78112,78137,78679,78721,78736,78741,78828,78854,79015,80463,80549,80618,80670,81093,81134,81378,81404,81421,81557,81632,81666,81862,81882,81962,82027,82064,82376,82441,82478,82548,82572,82590,82591,82920,82987,83191,83222,83288,84883,84952,85012,85029,85059,85097,85236,85332,85563,85566,86313,86434,86473,86642,86702,86767,88389,88447,88601,88649,88687,89155,89185,89265,89974,91276,92902,93832,93882,94735,95702,96416,96796,96858,98528,98654,98974,100021,101574,101945,102015,105403,105964,106260,106355,107743,108226,108295,108962,109031,109032,109050,109687,109762,111296,111312,111330,111340,111391,112003,112400,112424,112535,112576,112628,113180,113207,113234,113275,113315,113379,113736,114509,114538,114658,114739,114982,115328,115402,115581,115837,116599,116673,118364,118455,118953,118956,119044,119230,119310,119385,120299,120399,120490,120613,120666,120826,121143,121190,121346,121462,121582,121603,121688,121790,122019,122080,122097,122155,122205,122252,122345,122377,122400,122454,122534,122744,122777,122816,122927,123014,123504,123866,123925,124059,124125,124185,124192,124252,124282,124288,124311,124464,124506,124525,124691,124758,124998,125268,125295,125316,125690,125745,125795,125804,125932,125987,125995,126208,126298,126360,128469,128518,128882,135706,135742,136089,136133,136311,136519,136566,136665,136712,136771,136801,136859,137054,137112,137157,137356,137394,137715,137762,138116,138164,138353,138752,138813,139014,139063,139259,139281,139504,139534,139551,139684,140348,140770,140809,141109,141176,142342,143528,143544,143567,144022,144118,144144,144198,144220,144319,144321,144410,144467,144673,144712,144757,144760,144791,144839,145093,145130,145523,145585,145820,147524,147582,147798,147865,147910,148127,148186,148240,148499,148634,148721,148748,148822,148839,148947,148951,149351,152117,153108,153252,153266,153277,153295,153370,153398,154002,154020,154063,154314,154355,154625,154688,154846,154869,156172,156205,156743,157006,157027,157150,157218,157273,157287,157307,157473,157500,158021,159678,159748,160098,160470,162000,162054,162235,168249,168288,170659,170711,171631,171645,171679,171724,172201,172249,172259,172289,172427,172638,172675,172831,172850,173323,173343,173377,173406,173704,173749,174111,174165,174218,174429,174578,174598,174632,174655,175130,175170,175247,175256,175299,180436,180486,180500,180761,181130,181196,181630,181754,181905,182062,182124,182617,182715,182767,182943,183016,184043,184125,184150,184151,184159,184208,184368,184376,184465,184533,184646,184652,184664,191455,192485,192788,192801,192825,193328,193383,194847,195417,197161,199168,199405,200850,200891,201008,201059,201102,201150,201193,201251,201274,206622,206856,210941,211012,211103,211121,211408,214583,214712,214732,214747,216562,216851,218062,218290,219056,219116,219145,219404,220334,220477,220480,220481,220482,221722,221777,221817,221907,222464,222842,222863,223208,223284,223972,224280,224289,224328,224367,224385,224496,224500,224507,224741,224753,224789,224836,224866,224867,224896,225130,225334,225428,225520,225531,225571,225590,225604,225605 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[0, Z, Z x Z, Z x Z x Z, Z x Z x Z x Z, Z^6, Z^9, Z^14] : 137675,207456