A value of 0 in the table below includes the possibility that the page did not exist in that month. If viewing the table with a limit to the number of pagepaths shown (which includes the default view of showing the top n = 100 pages of all time), sorting by a month may not show the actual top pages for that month; rather it shows the top n pages of all time sorted by pageviews for that month. (So for instance if a page received a huge number of views in one month but received no views in all other months, it may not make it to the top n pages of all time even if it actually was the most viewed page for some month. Such a page would not be shown in the table.)
Pagepath | Total | March 2025 | February 2025 | January 2025 | December 2024 | November 2024 | October 2024 | September 2024 | August 2024 | July 2024 | June 2024 | May 2024 | April 2024 | March 2024 | February 2024 | January 2024 | December 2023 | November 2023 | October 2023 | September 2023 | August 2023 | July 2023 | June 2023 | May 2023 | April 2023 | March 2023 | February 2023 | January 2023 | December 2022 | November 2022 | October 2022 | September 2022 | August 2022 | July 2022 | June 2022 | May 2022 | April 2022 | March 2022 | February 2022 | January 2022 | December 2021 | November 2021 | October 2021 | September 2021 | August 2021 | July 2021 | June 2021 | May 2021 | April 2021 | March 2021 | February 2021 | January 2021 | December 2020 | November 2020 | October 2020 | September 2020 | August 2020 | July 2020 | June 2020 | May 2020 | April 2020 | March 2020 | February 2020 | January 2020 | December 2019 | November 2019 | October 2019 | September 2019 | August 2019 | July 2019 | June 2019 | May 2019 | April 2019 | March 2019 | February 2019 | January 2019 | December 2018 | November 2018 | October 2018 | September 2018 | August 2018 | July 2018 | June 2018 | May 2018 | April 2018 | March 2018 | February 2018 | January 2018 | December 2017 | November 2017 | October 2017 | September 2017 | August 2017 | July 2017 | June 2017 | May 2017 | April 2017 | March 2017 | February 2017 | January 2017 | December 2016 | November 2016 | October 2016 | September 2016 | August 2016 | July 2016 | June 2016 | May 2016 | April 2016 | March 2016 | February 2016 | January 2016 | December 2015 | November 2015 | October 2015 | September 2015 | August 2015 | July 2015 | June 2015 | May 2015 | April 2015 | March 2015 | February 2015 | January 2015 | December 2014 | November 2014 | October 2014 | September 2014 | August 2014 | July 2014 | June 2014 | May 2014 | April 2014 | March 2014 | February 2014 | January 2014 | December 2013 | November 2013 | October 2013 | September 2013 | August 2013 | July 2013 | June 2013 | May 2013 | April 2013 | March 2013 | February 2013 | January 2013 | December 2012 | November 2012 | October 2012 | September 2012 | August 2012 | July 2012 | June 2012 | May 2012 | April 2012 | March 2012 | February 2012 | January 2012 | December 2011 | November 2011 | October 2011 | September 2011 | August 2011 | July 2011 | June 2011 | May 2011 | April 2011 | March 2011 | February 2011 | January 2011 | December 2010 | November 2010 | October 2010 | September 2010 | August 2010 | July 2010 | June 2010 | May 2010 | April 2010 | March 2010 | February 2010 | January 2010 | December 2009 | November 2009 | October 2009 | September 2009 | August 2009 | July 2009 | June 2009 | May 2009 | April 2009 | March 2009 | February 2009 | January 2009 | December 2008 | November 2008 | October 2008 | September 2008 |
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/ | 31,123 | 5 | 8 | 6,627 | 6 | 2,648 | 12 | 18 | 3,353 | 13 | 2,477 | 9 | 17 | 11 | 9,584 | 14 | 33 | 25 | 46 | 26 | 33 | 27 | 44 | 41 | 38 | 52 | 36 | 33 | 46 | 64 | 53 | 46 | 19 | 38 | 34 | 74 | 844 | 40 | 39 | 47 | 46 | 41 | 31 | 28 | 22 | 816 | 22 | 15 | 734 | 724 | 12 | 9 | 13 | 12 | 21 | 11 | 8 | 0 | 0 | 0 | 46 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10 | 39 | 98 | 68 | 38 | 88 | 55 | 40 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 9 | 0 | 0 | 2 | 0 | 61 | 198 | 0 | 0 | 46 | 85 | 183 | 0 | 2 | 6 | 0 | 11 | 18 | 79 | 2 | 7 | 25 | 5 | 79 | 202 | 135 | 210 | 1 | 2 | 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 5 | 6 | 0 | 2 | 0 | 15 | 15 | 3 | 3 | 1 | 3 | 8 | 4 | 11 | 0 | 1 | 3 | 2 | 2 | 0 | 0 | 5 | 9 | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Product_of_ideals | 15,112 | 31 | 113 | 93 | 88 | 144 | 162 | 135 | 74 | 47 | 101 | 100 | 105 | 178 | 136 | 139 | 143 | 227 | 173 | 194 | 107 | 73 | 118 | 165 | 193 | 188 | 224 | 158 | 112 | 220 | 173 | 188 | 142 | 97 | 127 | 123 | 155 | 162 | 132 | 150 | 131 | 169 | 166 | 90 | 74 | 85 | 64 | 123 | 144 | 211 | 174 | 152 | 165 | 267 | 232 | 202 | 94 | 114 | 153 | 200 | 246 | 225 | 268 | 252 | 214 | 358 | 288 | 217 | 125 | 143 | 114 | 205 | 182 | 175 | 132 | 96 | 77 | 128 | 136 | 106 | 60 | 63 | 75 | 108 | 99 | 117 | 119 | 123 | 67 | 96 | 84 | 80 | 48 | 35 | 42 | 66 | 84 | 108 | 216 | 114 | 58 | 72 | 56 | 48 | 15 | 13 | 18 | 15 | 43 | 38 | 37 | 16 | 15 | 22 | 15 | 20 | 9 | 2 | 3 | 12 | 18 | 23 | 16 | 21 | 14 | 24 | 16 | 15 | 2 | 3 | 6 | 9 | 10 | 10 | 18 | 25 | 12 | 26 | 26 | 15 | 8 | 15 | 11 | 25 | 40 | 51 | 38 | 41 | 17 | 40 | 25 | 16 | 10 | 4 | 5 | 5 | 8 | 1 | 0 | 11 | 1 | 1 | 4 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Power_of_an_ideal | 9,476 | 12 | 63 | 51 | 46 | 84 | 103 | 66 | 38 | 54 | 70 | 63 | 84 | 89 | 96 | 90 | 73 | 135 | 110 | 108 | 68 | 57 | 78 | 63 | 99 | 105 | 106 | 77 | 84 | 162 | 156 | 110 | 58 | 77 | 84 | 101 | 103 | 140 | 108 | 77 | 81 | 121 | 91 | 73 | 64 | 52 | 91 | 118 | 134 | 157 | 122 | 103 | 114 | 114 | 102 | 101 | 80 | 60 | 89 | 107 | 148 | 119 | 103 | 115 | 86 | 122 | 87 | 79 | 58 | 55 | 40 | 79 | 81 | 109 | 83 | 78 | 65 | 92 | 89 | 66 | 31 | 41 | 58 | 63 | 58 | 83 | 80 | 103 | 53 | 75 | 67 | 51 | 22 | 20 | 34 | 43 | 50 | 53 | 75 | 66 | 28 | 31 | 44 | 42 | 15 | 15 | 24 | 36 | 41 | 44 | 39 | 17 | 17 | 40 | 34 | 24 | 16 | 12 | 12 | 26 | 48 | 43 | 43 | 19 | 28 | 30 | 27 | 38 | 13 | 11 | 9 | 21 | 33 | 31 | 32 | 21 | 9 | 17 | 27 | 16 | 7 | 9 | 20 | 18 | 17 | 27 | 12 | 10 | 13 | 26 | 11 | 13 | 2 | 1 | 1 | 0 | 0 | 0 | 2 | 3 | 0 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Radical_ideal | 9,391 | 0 | 9 | 7 | 7 | 5 | 6 | 16 | 12 | 4 | 7 | 21 | 23 | 14 | 24 | 32 | 33 | 28 | 63 | 65 | 35 | 37 | 27 | 40 | 44 | 66 | 67 | 66 | 69 | 90 | 91 | 119 | 33 | 41 | 54 | 87 | 56 | 46 | 47 | 61 | 49 | 71 | 60 | 43 | 23 | 21 | 51 | 86 | 134 | 129 | 119 | 104 | 122 | 130 | 146 | 123 | 57 | 95 | 120 | 141 | 175 | 156 | 128 | 104 | 91 | 91 | 93 | 70 | 37 | 39 | 50 | 66 | 73 | 103 | 69 | 48 | 61 | 87 | 62 | 70 | 33 | 47 | 64 | 91 | 74 | 67 | 93 | 94 | 79 | 108 | 113 | 49 | 41 | 55 | 61 | 103 | 45 | 89 | 54 | 48 | 37 | 82 | 71 | 46 | 23 | 29 | 50 | 105 | 79 | 130 | 108 | 42 | 48 | 53 | 60 | 40 | 23 | 21 | 33 | 54 | 48 | 47 | 62 | 38 | 59 | 80 | 94 | 81 | 37 | 36 | 29 | 39 | 45 | 47 | 53 | 44 | 38 | 50 | 74 | 24 | 46 | 31 | 39 | 63 | 48 | 66 | 33 | 89 | 57 | 64 | 49 | 32 | 11 | 14 | 21 | 17 | 18 | 15 | 18 | 16 | 2 | 2 | 1 | 1 | 0 | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 3 | 0 | 5 | 2 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 |
/wiki/Polynomial_ring_over_a_f… | 7,753 | 3 | 22 | 19 | 19 | 62 | 48 | 29 | 27 | 20 | 27 | 39 | 42 | 49 | 30 | 57 | 45 | 78 | 83 | 58 | 37 | 41 | 61 | 60 | 65 | 100 | 81 | 67 | 97 | 78 | 89 | 85 | 78 | 79 | 109 | 62 | 50 | 59 | 110 | 58 | 49 | 93 | 85 | 33 | 87 | 44 | 102 | 104 | 142 | 134 | 125 | 109 | 109 | 107 | 81 | 112 | 81 | 55 | 106 | 110 | 129 | 125 | 109 | 118 | 110 | 127 | 162 | 113 | 59 | 63 | 74 | 92 | 71 | 82 | 75 | 60 | 61 | 58 | 65 | 22 | 27 | 28 | 42 | 18 | 39 | 37 | 70 | 54 | 26 | 81 | 37 | 17 | 22 | 24 | 18 | 34 | 23 | 7 | 21 | 16 | 12 | 18 | 9 | 6 | 3 | 3 | 7 | 18 | 25 | 12 | 22 | 11 | 15 | 11 | 8 | 6 | 21 | 9 | 15 | 25 | 24 | 34 | 17 | 6 | 10 | 14 | 21 | 9 | 7 | 7 | 18 | 13 | 13 | 14 | 22 | 23 | 13 | 30 | 22 | 11 | 12 | 12 | 27 | 24 | 21 | 21 | 30 | 24 | 20 | 69 | 35 | 14 | 10 | 11 | 10 | 10 | 25 | 19 | 18 | 12 | 16 | 13 | 11 | 14 | 4 | 2 | 9 | 16 | 9 | 3 | 6 | 5 | 10 | 34 | 36 | 20 | 17 | 6 | 1 | 1 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Finitely_generated_ideal… | 7,346 | 4 | 32 | 35 | 23 | 25 | 28 | 33 | 16 | 11 | 18 | 22 | 33 | 40 | 23 | 30 | 44 | 56 | 53 | 47 | 29 | 37 | 56 | 38 | 66 | 58 | 65 | 61 | 49 | 94 | 61 | 61 | 49 | 38 | 43 | 31 | 67 | 84 | 57 | 51 | 65 | 113 | 80 | 60 | 41 | 74 | 67 | 107 | 122 | 107 | 119 | 105 | 161 | 81 | 164 | 75 | 58 | 63 | 99 | 82 | 119 | 99 | 104 | 110 | 103 | 101 | 130 | 86 | 37 | 52 | 57 | 75 | 79 | 59 | 85 | 78 | 77 | 88 | 86 | 77 | 64 | 27 | 64 | 86 | 91 | 89 | 65 | 82 | 64 | 99 | 88 | 44 | 34 | 33 | 21 | 55 | 22 | 29 | 30 | 20 | 12 | 19 | 15 | 11 | 6 | 4 | 8 | 22 | 23 | 25 | 18 | 5 | 9 | 8 | 16 | 13 | 6 | 6 | 5 | 9 | 12 | 26 | 19 | 18 | 13 | 16 | 10 | 18 | 7 | 9 | 11 | 17 | 21 | 17 | 38 | 28 | 18 | 36 | 46 | 22 | 19 | 12 | 31 | 23 | 52 | 52 | 28 | 27 | 16 | 16 | 17 | 14 | 2 | 6 | 6 | 6 | 7 | 10 | 13 | 6 | 6 | 3 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Nilradical_equals_inters… | 7,124 | 1 | 7 | 2 | 5 | 13 | 11 | 27 | 5 | 3 | 7 | 6 | 11 | 20 | 11 | 20 | 29 | 52 | 47 | 26 | 29 | 24 | 34 | 47 | 55 | 41 | 57 | 71 | 54 | 60 | 61 | 59 | 25 | 26 | 30 | 83 | 28 | 40 | 45 | 48 | 124 | 45 | 23 | 20 | 21 | 21 | 30 | 81 | 147 | 111 | 56 | 61 | 63 | 93 | 79 | 120 | 43 | 64 | 95 | 120 | 78 | 61 | 79 | 91 | 68 | 118 | 105 | 94 | 82 | 64 | 18 | 42 | 86 | 66 | 57 | 58 | 47 | 90 | 47 | 36 | 29 | 41 | 39 | 55 | 47 | 101 | 57 | 53 | 55 | 48 | 46 | 76 | 21 | 24 | 15 | 24 | 18 | 33 | 34 | 30 | 25 | 45 | 18 | 12 | 15 | 6 | 10 | 9 | 32 | 20 | 46 | 15 | 27 | 48 | 29 | 21 | 18 | 11 | 14 | 24 | 18 | 28 | 23 | 18 | 16 | 39 | 53 | 23 | 27 | 25 | 21 | 42 | 45 | 41 | 41 | 59 | 59 | 122 | 112 | 67 | 45 | 27 | 41 | 77 | 62 | 35 | 37 | 58 | 54 | 51 | 58 | 24 | 21 | 15 | 16 | 14 | 13 | 15 | 19 | 31 | 39 | 39 | 21 | 17 | 6 | 4 | 6 | 38 | 12 | 6 | 5 | 0 | 0 | 15 | 1 | 0 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Main_Page | 7,016 | 9 | 21 | 21 | 21 | 18 | 25 | 40 | 23 | 26 | 19 | 32 | 27 | 22 | 21 | 33 | 32 | 35 | 50 | 28 | 23 | 27 | 40 | 39 | 38 | 36 | 38 | 38 | 35 | 82 | 57 | 49 | 42 | 57 | 47 | 49 | 39 | 34 | 67 | 47 | 38 | 57 | 43 | 34 | 24 | 22 | 35 | 34 | 40 | 48 | 41 | 41 | 64 | 47 | 56 | 49 | 38 | 42 | 52 | 110 | 63 | 37 | 61 | 47 | 68 | 74 | 101 | 51 | 56 | 56 | 49 | 58 | 57 | 54 | 70 | 53 | 18 | 47 | 47 | 29 | 19 | 31 | 24 | 31 | 17 | 22 | 34 | 40 | 23 | 34 | 17 | 13 | 10 | 14 | 10 | 13 | 12 | 17 | 16 | 26 | 17 | 13 | 28 | 32 | 14 | 10 | 50 | 73 | 51 | 22 | 10 | 10 | 18 | 17 | 16 | 8 | 13 | 19 | 38 | 20 | 22 | 13 | 18 | 11 | 22 | 26 | 25 | 15 | 7 | 26 | 17 | 30 | 21 | 35 | 22 | 20 | 28 | 25 | 28 | 42 | 51 | 54 | 29 | 22 | 44 | 28 | 47 | 62 | 41 | 71 | 60 | 53 | 88 | 69 | 75 | 80 | 59 | 81 | 46 | 48 | 52 | 34 | 30 | 20 | 47 | 8 | 92 | 28 | 26 | 31 | 48 | 47 | 37 | 35 | 33 | 28 | 23 | 17 | 17 | 21 | 63 | 39 | 14 | 19 | 20 | 23 | 28 | 21 | 22 | 19 | 22 | 21 | 36 | 32 | 31 | 33 | 10 | 19 | 8 | 1 |
/wiki/Prime_avoidance_lemma | 5,052 | 6 | 10 | 16 | 14 | 7 | 15 | 22 | 10 | 13 | 10 | 6 | 38 | 14 | 17 | 11 | 8 | 27 | 38 | 32 | 16 | 15 | 22 | 16 | 18 | 35 | 24 | 28 | 42 | 66 | 31 | 9 | 11 | 16 | 12 | 32 | 29 | 14 | 12 | 30 | 28 | 19 | 24 | 21 | 13 | 8 | 15 | 26 | 40 | 34 | 43 | 55 | 53 | 57 | 35 | 41 | 30 | 33 | 31 | 74 | 23 | 52 | 60 | 33 | 24 | 44 | 34 | 34 | 23 | 11 | 27 | 61 | 42 | 41 | 21 | 29 | 35 | 35 | 34 | 22 | 22 | 40 | 33 | 29 | 27 | 8 | 19 | 35 | 18 | 28 | 27 | 22 | 17 | 9 | 11 | 18 | 14 | 31 | 32 | 15 | 38 | 30 | 29 | 24 | 7 | 13 | 17 | 35 | 35 | 31 | 24 | 46 | 32 | 31 | 27 | 35 | 23 | 21 | 48 | 31 | 34 | 62 | 58 | 44 | 44 | 62 | 72 | 54 | 53 | 59 | 61 | 99 | 91 | 65 | 54 | 44 | 72 | 92 | 59 | 37 | 33 | 46 | 40 | 43 | 61 | 62 | 70 | 41 | 37 | 37 | 43 | 32 | 13 | 12 | 4 | 7 | 6 | 2 | 3 | 1 | 0 | 0 | 1 | 2 | 2 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 2 | 0 | 1 | 1 | 1 | 5 | 5 | 5 | 0 | 3 | 1 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 5 | 6 | 0 | 1 | 0 | 0 | 0 |
/wiki/Induced_map_on_spectra_b… | 4,708 | 5 | 45 | 21 | 21 | 37 | 46 | 32 | 4 | 25 | 28 | 39 | 24 | 34 | 33 | 12 | 26 | 37 | 54 | 37 | 12 | 19 | 33 | 19 | 24 | 46 | 22 | 22 | 29 | 58 | 94 | 56 | 30 | 27 | 20 | 22 | 58 | 36 | 37 | 40 | 34 | 72 | 58 | 33 | 11 | 26 | 36 | 32 | 69 | 44 | 76 | 79 | 49 | 101 | 78 | 54 | 23 | 43 | 25 | 42 | 50 | 68 | 68 | 55 | 42 | 65 | 72 | 38 | 12 | 32 | 28 | 43 | 46 | 44 | 61 | 25 | 72 | 53 | 76 | 47 | 13 | 17 | 27 | 43 | 21 | 51 | 59 | 34 | 26 | 50 | 25 | 14 | 14 | 5 | 12 | 24 | 17 | 31 | 77 | 19 | 16 | 26 | 26 | 35 | 5 | 16 | 16 | 49 | 21 | 26 | 52 | 14 | 10 | 31 | 16 | 17 | 7 | 10 | 23 | 20 | 13 | 14 | 35 | 20 | 10 | 36 | 21 | 9 | 12 | 7 | 2 | 6 | 8 | 11 | 4 | 6 | 16 | 17 | 16 | 5 | 0 | 3 | 4 | 22 | 25 | 11 | 10 | 14 | 8 | 29 | 7 | 9 | 1 | 2 | 1 | 5 | 2 | 2 | 2 | 3 | 4 | 6 | 3 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 |
/wiki/Normal_domain | 4,382 | 0 | 4 | 1 | 6 | 4 | 15 | 15 | 6 | 12 | 12 | 16 | 26 | 16 | 14 | 12 | 22 | 27 | 38 | 17 | 15 | 19 | 26 | 35 | 38 | 37 | 34 | 34 | 23 | 52 | 39 | 17 | 11 | 24 | 13 | 40 | 32 | 44 | 33 | 46 | 28 | 49 | 23 | 8 | 23 | 13 | 19 | 45 | 46 | 65 | 43 | 50 | 56 | 52 | 59 | 35 | 30 | 22 | 33 | 46 | 49 | 42 | 36 | 68 | 66 | 51 | 47 | 23 | 26 | 38 | 36 | 35 | 39 | 44 | 35 | 33 | 41 | 23 | 33 | 37 | 18 | 17 | 25 | 28 | 32 | 17 | 53 | 54 | 20 | 51 | 20 | 42 | 34 | 34 | 24 | 19 | 25 | 15 | 17 | 28 | 30 | 27 | 22 | 15 | 12 | 15 | 26 | 12 | 25 | 29 | 26 | 19 | 29 | 17 | 18 | 22 | 14 | 4 | 20 | 18 | 16 | 16 | 10 | 18 | 15 | 16 | 20 | 21 | 11 | 11 | 16 | 21 | 15 | 14 | 33 | 12 | 10 | 10 | 40 | 22 | 11 | 18 | 25 | 26 | 22 | 24 | 30 | 33 | 22 | 42 | 50 | 26 | 7 | 15 | 21 | 14 | 11 | 23 | 20 | 18 | 17 | 16 | 15 | 19 | 6 | 0 | 0 | 0 | 1 | 2 | 1 | 4 | 1 | 2 | 3 | 0 | 5 | 5 | 10 | 25 | 11 | 15 | 6 | 2 | 0 | 1 | 2 | 3 | 0 | 0 | 1 | 3 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Multivariate_polynomial_… | 3,588 | 1 | 11 | 7 | 4 | 10 | 9 | 18 | 5 | 3 | 6 | 3 | 6 | 13 | 15 | 17 | 9 | 27 | 37 | 21 | 11 | 19 | 18 | 23 | 21 | 27 | 30 | 28 | 30 | 41 | 44 | 33 | 32 | 36 | 23 | 23 | 26 | 20 | 21 | 19 | 19 | 28 | 20 | 22 | 20 | 15 | 12 | 40 | 52 | 46 | 69 | 34 | 35 | 33 | 49 | 111 | 21 | 32 | 29 | 42 | 49 | 41 | 58 | 33 | 52 | 45 | 49 | 35 | 37 | 23 | 26 | 39 | 39 | 37 | 27 | 31 | 17 | 40 | 22 | 13 | 23 | 14 | 30 | 26 | 17 | 43 | 48 | 25 | 6 | 22 | 17 | 27 | 12 | 18 | 13 | 22 | 5 | 13 | 24 | 18 | 9 | 24 | 22 | 13 | 5 | 13 | 17 | 25 | 9 | 23 | 25 | 11 | 9 | 9 | 7 | 16 | 4 | 8 | 11 | 9 | 13 | 14 | 10 | 10 | 6 | 8 | 10 | 6 | 6 | 5 | 5 | 14 | 16 | 23 | 21 | 12 | 13 | 21 | 19 | 6 | 7 | 3 | 15 | 14 | 14 | 39 | 11 | 12 | 9 | 14 | 17 | 4 | 5 | 4 | 11 | 20 | 11 | 35 | 8 | 11 | 8 | 11 | 10 | 4 | 6 | 2 | 0 | 0 | 0 | 1 | 5 | 3 | 0 | 4 | 11 | 7 | 19 | 8 | 21 | 19 | 10 | 7 | 10 | 2 | 0 | 2 | 1 | 28 | 4 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Regular_local_ring_impli… | 3,401 | 2 | 15 | 26 | 14 | 16 | 35 | 20 | 24 | 32 | 27 | 24 | 36 | 57 | 51 | 43 | 22 | 26 | 47 | 23 | 18 | 20 | 32 | 20 | 23 | 33 | 32 | 18 | 29 | 40 | 40 | 22 | 44 | 41 | 31 | 40 | 59 | 19 | 42 | 30 | 26 | 45 | 27 | 25 | 16 | 23 | 48 | 28 | 39 | 42 | 50 | 34 | 42 | 33 | 37 | 23 | 13 | 40 | 26 | 79 | 56 | 66 | 26 | 34 | 48 | 39 | 38 | 34 | 27 | 24 | 51 | 53 | 52 | 41 | 25 | 41 | 28 | 38 | 41 | 14 | 16 | 20 | 40 | 34 | 29 | 26 | 27 | 26 | 16 | 26 | 18 | 15 | 9 | 7 | 8 | 20 | 24 | 13 | 18 | 10 | 8 | 7 | 6 | 7 | 2 | 6 | 5 | 8 | 8 | 5 | 6 | 7 | 4 | 8 | 2 | 2 | 1 | 2 | 7 | 14 | 3 | 2 | 6 | 8 | 0 | 4 | 2 | 4 | 2 | 0 | 1 | 0 | 7 | 8 | 4 | 7 | 6 | 16 | 14 | 7 | 8 | 10 | 13 | 11 | 5 | 9 | 21 | 11 | 6 | 6 | 6 | 15 | 3 | 1 | 5 | 3 | 1 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Irreducible_implies_prim… | 3,261 | 1 | 13 | 18 | 18 | 23 | 16 | 8 | 10 | 6 | 16 | 10 | 14 | 17 | 8 | 14 | 17 | 20 | 24 | 16 | 12 | 6 | 21 | 15 | 33 | 20 | 34 | 19 | 8 | 30 | 28 | 18 | 26 | 28 | 23 | 33 | 21 | 29 | 23 | 33 | 29 | 44 | 27 | 28 | 22 | 17 | 38 | 56 | 58 | 62 | 56 | 59 | 64 | 48 | 54 | 44 | 40 | 43 | 42 | 65 | 64 | 62 | 62 | 43 | 54 | 51 | 52 | 18 | 18 | 17 | 24 | 46 | 37 | 28 | 34 | 33 | 43 | 27 | 18 | 23 | 14 | 21 | 28 | 40 | 35 | 29 | 26 | 25 | 19 | 28 | 15 | 14 | 7 | 7 | 15 | 42 | 19 | 24 | 10 | 28 | 17 | 18 | 3 | 9 | 7 | 3 | 8 | 12 | 12 | 11 | 5 | 2 | 10 | 5 | 3 | 6 | 3 | 2 | 7 | 21 | 17 | 2 | 2 | 6 | 2 | 12 | 6 | 1 | 3 | 2 | 10 | 22 | 16 | 17 | 10 | 8 | 22 | 22 | 2 | 6 | 7 | 0 | 6 | 11 | 9 | 5 | 1 | 10 | 9 | 3 | 3 | 2 | 3 | 3 | 3 | 3 | 0 | 1 | 1 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Proper_ideal | 2,924 | 0 | 0 | 2 | 4 | 1 | 3 | 4 | 0 | 9 | 5 | 7 | 14 | 5 | 2 | 6 | 7 | 11 | 12 | 13 | 20 | 12 | 14 | 17 | 19 | 32 | 30 | 24 | 32 | 29 | 22 | 25 | 202 | 13 | 26 | 28 | 39 | 27 | 27 | 33 | 41 | 28 | 23 | 30 | 19 | 10 | 36 | 39 | 66 | 73 | 50 | 48 | 61 | 79 | 68 | 57 | 32 | 75 | 54 | 53 | 67 | 59 | 58 | 26 | 12 | 18 | 12 | 15 | 18 | 11 | 9 | 13 | 15 | 34 | 22 | 13 | 21 | 18 | 20 | 19 | 11 | 12 | 12 | 9 | 34 | 17 | 19 | 21 | 29 | 16 | 19 | 14 | 13 | 13 | 11 | 32 | 25 | 21 | 9 | 8 | 12 | 9 | 7 | 10 | 9 | 1 | 9 | 19 | 11 | 28 | 12 | 10 | 7 | 11 | 13 | 6 | 6 | 7 | 6 | 12 | 22 | 14 | 6 | 2 | 8 | 10 | 1 | 4 | 3 | 4 | 6 | 4 | 7 | 7 | 5 | 3 | 5 | 4 | 6 | 8 | 0 | 6 | 6 | 3 | 4 | 4 | 1 | 1 | 3 | 1 | 0 | 1 | 0 | 0 | 3 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 |
/wiki/Irreducible_element_not_… | 2,924 | 0 | 1 | 0 | 2 | 4 | 4 | 10 | 0 | 9 | 7 | 5 | 14 | 10 | 14 | 4 | 26 | 22 | 7 | 6 | 15 | 3 | 12 | 13 | 7 | 14 | 13 | 9 | 17 | 20 | 11 | 19 | 21 | 22 | 29 | 21 | 15 | 16 | 27 | 25 | 21 | 18 | 20 | 16 | 8 | 22 | 33 | 51 | 33 | 42 | 49 | 80 | 96 | 30 | 24 | 21 | 16 | 11 | 26 | 57 | 38 | 34 | 47 | 41 | 24 | 32 | 28 | 23 | 21 | 11 | 14 | 42 | 47 | 36 | 16 | 20 | 31 | 25 | 28 | 7 | 13 | 17 | 24 | 26 | 22 | 9 | 29 | 21 | 22 | 24 | 12 | 13 | 20 | 8 | 9 | 14 | 15 | 9 | 30 | 18 | 18 | 15 | 14 | 5 | 9 | 11 | 8 | 22 | 36 | 25 | 25 | 23 | 14 | 19 | 24 | 9 | 8 | 10 | 17 | 22 | 31 | 26 | 14 | 18 | 15 | 26 | 49 | 14 | 30 | 7 | 11 | 33 | 26 | 19 | 23 | 23 | 31 | 23 | 21 | 12 | 9 | 6 | 6 | 11 | 8 | 4 | 8 | 0 | 1 | 4 | 1 | 0 | 0 | 0 | 0 | 0 | 3 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Principal_ideal_domain | 2,879 | 1 | 0 | 3 | 1 | 0 | 1 | 4 | 2 | 3 | 1 | 0 | 1 | 2 | 2 | 1 | 0 | 13 | 6 | 6 | 2 | 2 | 6 | 5 | 2 | 1 | 1 | 0 | 2 | 10 | 4 | 2 | 10 | 7 | 46 | 18 | 13 | 2 | 8 | 2 | 4 | 14 | 5 | 7 | 8 | 3 | 8 | 7 | 13 | 18 | 19 | 27 | 19 | 18 | 7 | 11 | 7 | 11 | 23 | 29 | 13 | 13 | 19 | 20 | 16 | 15 | 13 | 17 | 10 | 12 | 14 | 15 | 19 | 13 | 10 | 7 | 13 | 10 | 9 | 5 | 7 | 10 | 15 | 19 | 19 | 26 | 20 | 18 | 15 | 22 | 9 | 15 | 5 | 7 | 18 | 25 | 25 | 12 | 18 | 12 | 8 | 22 | 9 | 0 | 1 | 1 | 5 | 4 | 10 | 19 | 6 | 6 | 7 | 12 | 16 | 7 | 4 | 7 | 6 | 7 | 8 | 16 | 21 | 26 | 15 | 29 | 27 | 18 | 12 | 8 | 17 | 27 | 22 | 19 | 30 | 14 | 57 | 56 | 104 | 47 | 41 | 13 | 41 | 41 | 45 | 50 | 44 | 27 | 74 | 50 | 39 | 27 | 13 | 16 | 14 | 9 | 32 | 26 | 28 | 23 | 18 | 43 | 27 | 20 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 17 | 13 | 26 | 81 | 67 | 56 | 26 | 23 | 23 | 23 | 1 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Commutative_unital_ring | 2,730 | 1 | 2 | 7 | 4 | 9 | 6 | 10 | 8 | 9 | 8 | 10 | 15 | 11 | 8 | 8 | 21 | 17 | 8 | 20 | 27 | 13 | 17 | 19 | 17 | 34 | 19 | 17 | 19 | 37 | 30 | 28 | 16 | 18 | 19 | 59 | 42 | 24 | 39 | 39 | 23 | 21 | 28 | 7 | 20 | 9 | 21 | 57 | 32 | 44 | 39 | 41 | 33 | 46 | 52 | 34 | 21 | 31 | 38 | 48 | 39 | 33 | 35 | 34 | 31 | 44 | 24 | 23 | 25 | 11 | 16 | 37 | 57 | 39 | 18 | 27 | 25 | 25 | 28 | 10 | 8 | 21 | 13 | 33 | 45 | 17 | 17 | 23 | 15 | 14 | 17 | 16 | 13 | 6 | 10 | 16 | 11 | 22 | 18 | 7 | 11 | 10 | 5 | 13 | 6 | 2 | 3 | 10 | 7 | 9 | 9 | 4 | 11 | 8 | 14 | 9 | 0 | 2 | 4 | 8 | 8 | 6 | 4 | 8 | 6 | 14 | 7 | 9 | 7 | 7 | 7 | 4 | 4 | 10 | 5 | 7 | 8 | 3 | 8 | 9 | 5 | 7 | 1 | 8 | 12 | 12 | 7 | 8 | 12 | 5 | 6 | 9 | 5 | 6 | 1 | 5 | 3 | 4 | 7 | 7 | 2 | 3 | 4 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 1 | 1 | 0 | 0 | 2 | 0 | 1 | 0 | 1 | 0 | 4 | 2 | 0 | 0 | 1 | 2 | 0 | 0 |
/wiki/Nilradical_is_an_ideal | 2,636 | 2 | 11 | 29 | 19 | 19 | 16 | 21 | 17 | 7 | 14 | 19 | 17 | 33 | 13 | 22 | 17 | 25 | 38 | 20 | 16 | 19 | 13 | 23 | 23 | 22 | 33 | 60 | 55 | 68 | 44 | 38 | 16 | 18 | 17 | 19 | 54 | 40 | 35 | 37 | 37 | 76 | 41 | 15 | 23 | 12 | 14 | 40 | 48 | 54 | 44 | 44 | 53 | 56 | 46 | 28 | 18 | 26 | 31 | 49 | 47 | 73 | 52 | 44 | 32 | 33 | 33 | 27 | 14 | 6 | 10 | 35 | 19 | 36 | 37 | 42 | 15 | 45 | 22 | 22 | 9 | 12 | 12 | 18 | 24 | 35 | 19 | 13 | 14 | 11 | 2 | 6 | 1 | 1 | 4 | 5 | 1 | 3 | 0 | 3 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 8 | 0 | 0 | 0 | 1 | 4 | 4 | 0 | 0 | 2 | 2 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Integral_domain | 2,600 | 1 | 7 | 3 | 5 | 9 | 9 | 13 | 5 | 9 | 6 | 10 | 6 | 15 | 10 | 8 | 11 | 44 | 31 | 23 | 14 | 11 | 10 | 22 | 21 | 22 | 32 | 16 | 23 | 36 | 40 | 36 | 17 | 18 | 21 | 9 | 15 | 18 | 24 | 18 | 14 | 28 | 5 | 10 | 11 | 10 | 17 | 26 | 37 | 27 | 33 | 204 | 26 | 51 | 35 | 36 | 14 | 14 | 51 | 29 | 18 | 21 | 20 | 17 | 37 | 48 | 28 | 22 | 14 | 28 | 19 | 16 | 20 | 22 | 12 | 8 | 18 | 18 | 13 | 7 | 8 | 14 | 13 | 13 | 10 | 6 | 21 | 10 | 8 | 14 | 11 | 6 | 7 | 15 | 10 | 9 | 7 | 11 | 7 | 8 | 20 | 13 | 10 | 4 | 4 | 6 | 4 | 15 | 12 | 16 | 10 | 8 | 8 | 13 | 11 | 7 | 1 | 11 | 11 | 8 | 4 | 16 | 15 | 10 | 10 | 12 | 15 | 6 | 8 | 3 | 2 | 10 | 11 | 11 | 14 | 9 | 12 | 10 | 10 | 7 | 7 | 4 | 5 | 13 | 12 | 30 | 16 | 21 | 18 | 14 | 11 | 6 | 6 | 8 | 10 | 5 | 11 | 11 | 5 | 3 | 5 | 5 | 6 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 3 | 4 | 2 | 11 | 11 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Codimension_of_an_ideal | 2,563 | 3 | 9 | 15 | 11 | 5 | 18 | 14 | 17 | 23 | 11 | 31 | 39 | 22 | 12 | 13 | 10 | 24 | 19 | 10 | 15 | 23 | 15 | 33 | 31 | 44 | 19 | 19 | 26 | 19 | 17 | 30 | 28 | 18 | 16 | 22 | 50 | 26 | 19 | 18 | 25 | 28 | 28 | 10 | 15 | 15 | 23 | 15 | 34 | 26 | 26 | 22 | 18 | 23 | 22 | 24 | 14 | 23 | 23 | 22 | 50 | 26 | 42 | 11 | 11 | 20 | 18 | 9 | 17 | 15 | 19 | 20 | 25 | 27 | 38 | 23 | 22 | 36 | 42 | 26 | 29 | 30 | 29 | 43 | 44 | 40 | 48 | 26 | 21 | 32 | 25 | 17 | 21 | 23 | 27 | 42 | 38 | 15 | 28 | 15 | 23 | 20 | 18 | 14 | 14 | 10 | 12 | 18 | 26 | 14 | 7 | 15 | 7 | 3 | 2 | 3 | 1 | 2 | 1 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 1 | 0 | 2 | 2 | 0 | 1 | 2 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 2 | 3 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Zero-dimensional_ring | 2,516 | 1 | 4 | 14 | 19 | 15 | 12 | 27 | 7 | 8 | 13 | 17 | 40 | 42 | 17 | 18 | 11 | 24 | 32 | 24 | 17 | 16 | 24 | 17 | 13 | 30 | 24 | 45 | 20 | 24 | 26 | 25 | 15 | 26 | 36 | 39 | 33 | 19 | 38 | 26 | 22 | 28 | 27 | 11 | 13 | 20 | 20 | 22 | 30 | 28 | 16 | 26 | 22 | 47 | 27 | 54 | 21 | 15 | 19 | 16 | 31 | 26 | 27 | 30 | 17 | 61 | 13 | 10 | 7 | 19 | 20 | 15 | 19 | 13 | 12 | 21 | 20 | 12 | 30 | 15 | 11 | 14 | 16 | 22 | 19 | 17 | 22 | 24 | 17 | 23 | 28 | 14 | 21 | 25 | 23 | 3 | 14 | 17 | 15 | 20 | 12 | 11 | 12 | 14 | 11 | 7 | 10 | 9 | 10 | 17 | 8 | 7 | 2 | 8 | 5 | 10 | 6 | 7 | 11 | 2 | 3 | 5 | 5 | 6 | 6 | 10 | 11 | 6 | 8 | 5 | 0 | 4 | 3 | 5 | 3 | 8 | 0 | 1 | 5 | 10 | 6 | 6 | 3 | 2 | 10 | 4 | 14 | 7 | 3 | 4 | 2 | 1 | 2 | 4 | 10 | 2 | 3 | 0 | 0 | 3 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 3 | 2 | 1 | 8 | 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
/wiki/Multiplicative_norm | 2,511 | 1 | 8 | 16 | 8 | 22 | 15 | 7 | 10 | 14 | 16 | 12 | 9 | 19 | 11 | 10 | 19 | 34 | 20 | 18 | 19 | 17 | 9 | 20 | 19 | 23 | 30 | 17 | 23 | 28 | 24 | 23 | 13 | 17 | 27 | 45 | 17 | 25 | 21 | 9 | 20 | 12 | 6 | 8 | 6 | 6 | 25 | 17 | 25 | 24 | 20 | 25 | 21 | 25 | 27 | 26 | 26 | 17 | 35 | 23 | 31 | 9 | 24 | 15 | 10 | 22 | 24 | 24 | 12 | 10 | 15 | 10 | 16 | 20 | 17 | 11 | 12 | 24 | 18 | 11 | 17 | 11 | 13 | 7 | 13 | 17 | 18 | 17 | 13 | 29 | 19 | 10 | 9 | 11 | 20 | 28 | 15 | 17 | 15 | 17 | 18 | 16 | 15 | 29 | 13 | 9 | 14 | 18 | 23 | 39 | 12 | 16 | 13 | 20 | 17 | 15 | 6 | 5 | 10 | 22 | 14 | 12 | 13 | 6 | 11 | 10 | 10 | 14 | 6 | 10 | 7 | 14 | 14 | 12 | 4 | 10 | 9 | 14 | 19 | 13 | 6 | 8 | 7 | 18 | 15 | 14 | 11 | 15 | 11 | 10 | 17 | 7 | 7 | 5 | 6 | 3 | 16 | 7 | 18 | 3 | 3 | 3 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Euclidean_domain | 2,504 | 0 | 0 | 0 | 0 | 2 | 5 | 3 | 0 | 3 | 2 | 3 | 0 | 4 | 1 | 7 | 6 | 7 | 8 | 4 | 3 | 5 | 3 | 5 | 5 | 0 | 7 | 1 | 2 | 2 | 5 | 3 | 5 | 5 | 5 | 4 | 9 | 7 | 6 | 14 | 12 | 10 | 3 | 3 | 10 | 0 | 8 | 12 | 17 | 26 | 34 | 31 | 20 | 17 | 13 | 13 | 6 | 10 | 24 | 20 | 10 | 20 | 20 | 15 | 51 | 28 | 20 | 9 | 13 | 6 | 19 | 34 | 29 | 19 | 13 | 10 | 16 | 21 | 15 | 8 | 11 | 15 | 30 | 21 | 34 | 19 | 19 | 12 | 20 | 25 | 26 | 11 | 19 | 13 | 21 | 31 | 22 | 20 | 5 | 9 | 15 | 19 | 17 | 8 | 1 | 5 | 15 | 24 | 30 | 42 | 34 | 22 | 50 | 33 | 38 | 14 | 7 | 7 | 13 | 40 | 37 | 23 | 14 | 19 | 16 | 45 | 27 | 6 | 18 | 11 | 14 | 31 | 19 | 24 | 44 | 28 | 24 | 55 | 51 | 28 | 10 | 7 | 5 | 9 | 12 | 10 | 27 | 13 | 12 | 21 | 37 | 4 | 6 | 4 | 26 | 15 | 20 | 7 | 21 | 11 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 6 | 15 | 27 | 2 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Universal_side_divisor | 2,457 | 3 | 8 | 6 | 12 | 7 | 14 | 11 | 7 | 1 | 5 | 9 | 7 | 6 | 5 | 14 | 22 | 28 | 33 | 16 | 11 | 6 | 9 | 18 | 10 | 33 | 21 | 14 | 25 | 22 | 18 | 21 | 28 | 12 | 24 | 13 | 11 | 6 | 13 | 34 | 15 | 23 | 9 | 12 | 38 | 4 | 18 | 17 | 37 | 33 | 12 | 16 | 16 | 30 | 23 | 12 | 6 | 12 | 27 | 21 | 27 | 14 | 30 | 23 | 22 | 20 | 19 | 16 | 8 | 19 | 33 | 29 | 26 | 24 | 13 | 18 | 28 | 22 | 21 | 23 | 3 | 6 | 12 | 19 | 8 | 6 | 16 | 14 | 36 | 23 | 16 | 8 | 10 | 2 | 21 | 15 | 26 | 26 | 33 | 15 | 18 | 26 | 5 | 5 | 6 | 6 | 9 | 12 | 42 | 24 | 25 | 12 | 36 | 13 | 17 | 14 | 8 | 5 | 7 | 10 | 18 | 13 | 13 | 20 | 22 | 10 | 20 | 20 | 5 | 6 | 19 | 4 | 11 | 22 | 4 | 8 | 19 | 12 | 7 | 8 | 16 | 8 | 3 | 9 | 12 | 43 | 6 | 5 | 14 | 18 | 18 | 11 | 1 | 3 | 9 | 1 | 7 | 2 | 1 | 3 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
/wiki/Minimal_prime_ideal | 2,426 | 1 | 4 | 5 | 2 | 3 | 3 | 3 | 1 | 1 | 6 | 4 | 3 | 9 | 8 | 5 | 5 | 26 | 23 | 19 | 11 | 18 | 17 | 9 | 25 | 22 | 28 | 17 | 25 | 30 | 28 | 27 | 13 | 15 | 24 | 16 | 17 | 21 | 24 | 22 | 21 | 22 | 15 | 7 | 8 | 9 | 20 | 20 | 34 | 36 | 32 | 36 | 29 | 53 | 24 | 47 | 23 | 16 | 25 | 54 | 47 | 43 | 17 | 21 | 10 | 30 | 26 | 18 | 11 | 13 | 17 | 19 | 16 | 24 | 19 | 24 | 19 | 22 | 31 | 15 | 9 | 27 | 22 | 9 | 23 | 10 | 21 | 21 | 17 | 16 | 17 | 24 | 15 | 20 | 12 | 17 | 16 | 11 | 13 | 16 | 12 | 16 | 13 | 22 | 4 | 7 | 12 | 16 | 15 | 24 | 20 | 14 | 10 | 13 | 17 | 15 | 4 | 21 | 4 | 9 | 8 | 11 | 6 | 10 | 5 | 10 | 9 | 8 | 6 | 1 | 3 | 4 | 3 | 9 | 1 | 5 | 3 | 5 | 12 | 1 | 6 | 9 | 4 | 15 | 14 | 13 | 15 | 9 | 7 | 12 | 26 | 11 | 4 | 7 | 3 | 7 | 3 | 3 | 4 | 6 | 3 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Principal_ideal | 2,418 | 1 | 5 | 6 | 10 | 9 | 7 | 8 | 7 | 2 | 9 | 7 | 4 | 17 | 16 | 11 | 10 | 32 | 19 | 12 | 16 | 12 | 17 | 9 | 21 | 21 | 17 | 9 | 16 | 19 | 17 | 12 | 12 | 15 | 15 | 18 | 27 | 14 | 16 | 18 | 11 | 27 | 19 | 14 | 21 | 9 | 23 | 34 | 43 | 45 | 39 | 47 | 45 | 43 | 44 | 33 | 20 | 38 | 43 | 47 | 53 | 37 | 39 | 28 | 28 | 44 | 39 | 20 | 14 | 14 | 15 | 31 | 25 | 41 | 16 | 12 | 18 | 16 | 14 | 10 | 7 | 10 | 21 | 17 | 19 | 16 | 20 | 20 | 17 | 29 | 15 | 6 | 11 | 6 | 8 | 14 | 12 | 5 | 15 | 5 | 10 | 10 | 7 | 3 | 0 | 2 | 2 | 9 | 12 | 19 | 6 | 5 | 12 | 16 | 10 | 4 | 0 | 4 | 5 | 13 | 8 | 4 | 15 | 8 | 10 | 9 | 5 | 11 | 8 | 1 | 7 | 7 | 1 | 3 | 4 | 8 | 4 | 5 | 12 | 13 | 9 | 5 | 8 | 7 | 9 | 18 | 12 | 8 | 7 | 7 | 13 | 10 | 4 | 6 | 3 | 5 | 4 | 5 | 4 | 2 | 5 | 2 | 3 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 3 | 2 | 0 | 0 | 0 | 1 | 5 | 4 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Principal_ideal_ring_iff… | 2,328 | 1 | 12 | 6 | 19 | 12 | 15 | 6 | 11 | 12 | 15 | 3 | 9 | 12 | 12 | 7 | 14 | 36 | 14 | 15 | 15 | 8 | 11 | 16 | 9 | 10 | 17 | 17 | 18 | 43 | 24 | 34 | 9 | 10 | 23 | 25 | 10 | 20 | 9 | 3 | 13 | 19 | 25 | 14 | 17 | 9 | 23 | 49 | 43 | 64 | 41 | 42 | 58 | 55 | 43 | 34 | 17 | 44 | 50 | 65 | 48 | 32 | 39 | 22 | 25 | 30 | 31 | 14 | 13 | 7 | 17 | 18 | 13 | 22 | 15 | 12 | 33 | 19 | 8 | 6 | 26 | 11 | 40 | 24 | 10 | 5 | 17 | 19 | 7 | 20 | 13 | 9 | 10 | 8 | 3 | 4 | 10 | 6 | 8 | 1 | 7 | 8 | 5 | 5 | 4 | 4 | 1 | 2 | 8 | 2 | 5 | 5 | 14 | 6 | 0 | 5 | 3 | 2 | 2 | 1 | 7 | 2 | 2 | 4 | 2 | 1 | 20 | 9 | 7 | 1 | 0 | 2 | 1 | 2 | 3 | 4 | 9 | 6 | 6 | 5 | 8 | 6 | 6 | 11 | 12 | 3 | 14 | 2 | 5 | 18 | 10 | 14 | 2 | 3 | 2 | 3 | 6 | 6 | 6 | 2 | 1 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 3 | 9 | 10 | 8 | 2 | 1 | 0 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 |
/wiki/Intersection_of_maximal_… | 2,246 | 1 | 1 | 4 | 3 | 0 | 7 | 1 | 3 | 1 | 2 | 4 | 2 | 5 | 1 | 7 | 2 | 20 | 16 | 19 | 0 | 2 | 6 | 8 | 22 | 9 | 18 | 9 | 22 | 27 | 23 | 31 | 12 | 29 | 23 | 20 | 16 | 22 | 15 | 11 | 22 | 26 | 9 | 3 | 3 | 10 | 8 | 17 | 29 | 31 | 27 | 19 | 39 | 32 | 26 | 38 | 32 | 10 | 26 | 51 | 29 | 27 | 30 | 28 | 36 | 21 | 14 | 23 | 13 | 17 | 10 | 10 | 19 | 13 | 11 | 7 | 19 | 25 | 25 | 19 | 7 | 12 | 29 | 39 | 29 | 23 | 22 | 15 | 25 | 18 | 11 | 15 | 8 | 13 | 11 | 35 | 26 | 8 | 6 | 8 | 12 | 13 | 6 | 10 | 3 | 0 | 5 | 14 | 12 | 6 | 7 | 5 | 10 | 4 | 6 | 4 | 10 | 1 | 4 | 7 | 3 | 8 | 11 | 5 | 8 | 8 | 6 | 4 | 2 | 4 | 5 | 5 | 7 | 7 | 5 | 7 | 31 | 27 | 34 | 8 | 19 | 5 | 17 | 27 | 11 | 9 | 15 | 30 | 14 | 33 | 16 | 20 | 11 | 9 | 9 | 4 | 8 | 1 | 3 | 8 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Equidimensional_ring | 2,214 | 0 | 10 | 17 | 14 | 17 | 8 | 29 | 10 | 22 | 9 | 12 | 12 | 7 | 16 | 15 | 8 | 10 | 29 | 19 | 28 | 22 | 26 | 20 | 21 | 22 | 22 | 29 | 12 | 17 | 17 | 28 | 14 | 23 | 20 | 21 | 17 | 35 | 37 | 18 | 18 | 16 | 18 | 27 | 17 | 15 | 20 | 16 | 26 | 4 | 10 | 14 | 21 | 10 | 16 | 15 | 11 | 23 | 15 | 32 | 13 | 6 | 10 | 20 | 13 | 35 | 29 | 10 | 17 | 18 | 20 | 16 | 14 | 13 | 23 | 23 | 23 | 33 | 33 | 16 | 19 | 30 | 23 | 18 | 14 | 10 | 27 | 11 | 7 | 20 | 20 | 11 | 13 | 18 | 28 | 6 | 4 | 19 | 11 | 14 | 22 | 21 | 12 | 14 | 7 | 6 | 8 | 14 | 12 | 26 | 8 | 18 | 23 | 14 | 9 | 10 | 5 | 8 | 18 | 13 | 11 | 7 | 8 | 9 | 5 | 8 | 14 | 6 | 5 | 7 | 9 | 17 | 12 | 13 | 5 | 7 | 1 | 8 | 5 | 1 | 0 | 3 | 1 | 1 | 1 | 1 | 4 | 1 | 0 | 2 | 1 | 1 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_ring_has_fini… | 1,992 | 1 | 10 | 6 | 11 | 13 | 17 | 6 | 6 | 3 | 2 | 2 | 6 | 1 | 0 | 1 | 0 | 8 | 4 | 2 | 6 | 5 | 7 | 4 | 2 | 2 | 17 | 3 | 3 | 18 | 17 | 29 | 16 | 12 | 16 | 8 | 10 | 21 | 21 | 38 | 23 | 28 | 13 | 10 | 8 | 11 | 36 | 25 | 38 | 49 | 23 | 45 | 32 | 25 | 11 | 20 | 10 | 18 | 27 | 25 | 38 | 37 | 18 | 27 | 15 | 52 | 13 | 6 | 9 | 7 | 18 | 17 | 31 | 36 | 34 | 31 | 25 | 20 | 25 | 31 | 11 | 5 | 9 | 16 | 20 | 19 | 25 | 8 | 11 | 9 | 17 | 10 | 16 | 2 | 8 | 12 | 3 | 2 | 5 | 11 | 4 | 10 | 19 | 4 | 6 | 7 | 14 | 11 | 18 | 31 | 13 | 11 | 10 | 13 | 12 | 8 | 4 | 16 | 4 | 4 | 6 | 5 | 4 | 4 | 3 | 10 | 1 | 4 | 3 | 2 | 2 | 7 | 6 | 10 | 3 | 3 | 2 | 8 | 10 | 6 | 3 | 5 | 10 | 16 | 26 | 9 | 11 | 9 | 2 | 4 | 10 | 6 | 5 | 8 | 0 | 1 | 1 | 0 | 0 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Ideal_generated_by_two_p… | 1,931 | 0 | 4 | 1 | 2 | 6 | 5 | 2 | 4 | 2 | 2 | 4 | 5 | 6 | 7 | 6 | 8 | 6 | 6 | 7 | 8 | 6 | 9 | 5 | 7 | 8 | 12 | 85 | 7 | 15 | 10 | 25 | 6 | 3 | 30 | 16 | 11 | 17 | 8 | 15 | 18 | 25 | 13 | 10 | 5 | 3 | 18 | 31 | 33 | 28 | 14 | 25 | 23 | 21 | 33 | 28 | 9 | 14 | 18 | 27 | 35 | 27 | 25 | 6 | 11 | 17 | 20 | 6 | 6 | 12 | 12 | 10 | 14 | 11 | 8 | 14 | 20 | 26 | 59 | 10 | 23 | 18 | 17 | 13 | 19 | 21 | 25 | 24 | 16 | 20 | 16 | 18 | 13 | 10 | 17 | 23 | 23 | 21 | 15 | 9 | 10 | 24 | 31 | 8 | 4 | 5 | 11 | 15 | 23 | 12 | 6 | 6 | 3 | 5 | 7 | 7 | 3 | 2 | 2 | 9 | 13 | 11 | 11 | 4 | 12 | 5 | 11 | 4 | 1 | 2 | 1 | 6 | 10 | 5 | 5 | 3 | 7 | 7 | 8 | 18 | 8 | 6 | 3 | 14 | 11 | 6 | 6 | 8 | 4 | 6 | 5 | 4 | 0 | 3 | 1 | 1 | 1 | 5 | 3 | 2 | 1 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_ring | 1,924 | 1 | 1 | 3 | 5 | 3 | 3 | 4 | 2 | 4 | 5 | 5 | 1 | 3 | 1 | 0 | 1 | 12 | 2 | 11 | 5 | 11 | 11 | 11 | 5 | 6 | 14 | 6 | 10 | 10 | 9 | 17 | 9 | 12 | 12 | 10 | 10 | 2 | 6 | 9 | 7 | 5 | 12 | 6 | 7 | 5 | 7 | 18 | 17 | 16 | 28 | 26 | 16 | 17 | 25 | 15 | 13 | 10 | 8 | 17 | 12 | 24 | 17 | 24 | 13 | 21 | 11 | 11 | 2 | 6 | 5 | 20 | 13 | 7 | 10 | 7 | 6 | 13 | 11 | 9 | 1 | 6 | 10 | 9 | 4 | 8 | 6 | 7 | 11 | 13 | 11 | 6 | 5 | 4 | 6 | 13 | 7 | 6 | 8 | 4 | 9 | 3 | 4 | 3 | 1 | 1 | 8 | 8 | 12 | 12 | 4 | 4 | 8 | 7 | 10 | 4 | 5 | 7 | 8 | 7 | 16 | 20 | 14 | 11 | 8 | 23 | 21 | 9 | 5 | 4 | 8 | 17 | 16 | 9 | 13 | 7 | 16 | 25 | 30 | 22 | 4 | 13 | 16 | 24 | 35 | 31 | 31 | 66 | 40 | 26 | 43 | 17 | 1 | 11 | 15 | 22 | 14 | 14 | 25 | 20 | 8 | 7 | 7 | 1 | 0 | 0 | 0 | 0 | 0 | 5 | 1 | 0 | 0 | 1 | 0 | 0 | 15 | 7 | 0 | 16 | 46 | 1 | 1 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
/wiki/Krull_dimension | 1,854 | 3 | 6 | 9 | 3 | 2 | 3 | 7 | 1 | 6 | 10 | 6 | 18 | 13 | 6 | 4 | 4 | 11 | 10 | 11 | 11 | 5 | 12 | 8 | 9 | 30 | 13 | 12 | 10 | 19 | 23 | 16 | 14 | 17 | 16 | 22 | 22 | 14 | 19 | 14 | 19 | 10 | 27 | 13 | 12 | 11 | 16 | 21 | 15 | 37 | 22 | 29 | 21 | 40 | 37 | 27 | 15 | 22 | 26 | 36 | 54 | 32 | 28 | 44 | 35 | 25 | 12 | 12 | 11 | 11 | 14 | 12 | 15 | 14 | 17 | 14 | 8 | 15 | 22 | 15 | 13 | 15 | 19 | 12 | 22 | 18 | 20 | 19 | 12 | 23 | 12 | 11 | 10 | 13 | 18 | 11 | 15 | 6 | 11 | 8 | 7 | 9 | 8 | 4 | 7 | 2 | 5 | 8 | 17 | 5 | 8 | 3 | 4 | 7 | 11 | 2 | 0 | 7 | 5 | 1 | 6 | 11 | 3 | 9 | 2 | 3 | 4 | 3 | 1 | 1 | 2 | 6 | 1 | 2 | 4 | 5 | 2 | 3 | 7 | 7 | 0 | 0 | 2 | 6 | 5 | 5 | 2 | 2 | 5 | 3 | 3 | 3 | 0 | 2 | 3 | 1 | 2 | 1 | 3 | 2 | 0 | 3 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_domain | 1,837 | 1 | 5 | 4 | 7 | 11 | 13 | 16 | 9 | 16 | 14 | 12 | 16 | 16 | 9 | 14 | 12 | 37 | 19 | 11 | 9 | 18 | 8 | 25 | 20 | 45 | 19 | 23 | 34 | 29 | 29 | 24 | 22 | 13 | 31 | 22 | 32 | 22 | 14 | 16 | 14 | 15 | 23 | 15 | 16 | 18 | 22 | 27 | 35 | 34 | 32 | 34 | 33 | 42 | 25 | 21 | 14 | 18 | 18 | 27 | 13 | 27 | 27 | 31 | 28 | 35 | 31 | 28 | 7 | 11 | 12 | 20 | 17 | 17 | 14 | 12 | 25 | 16 | 7 | 7 | 5 | 4 | 12 | 5 | 19 | 10 | 5 | 8 | 6 | 6 | 6 | 4 | 2 | 7 | 6 | 8 | 6 | 3 | 6 | 2 | 1 | 2 | 2 | 3 | 6 | 1 | 4 | 6 | 4 | 2 | 3 | 2 | 1 | 3 | 4 | 1 | 1 | 0 | 3 | 3 | 0 | 3 | 1 | 4 | 0 | 1 | 2 | 3 | 0 | 0 | 0 | 3 | 0 | 7 | 1 | 1 | 3 | 3 | 0 | 4 | 2 | 1 | 2 | 1 | 2 | 3 | 1 | 5 | 6 | 2 | 2 | 2 | 1 | 1 | 2 | 1 | 2 | 3 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 0 | 3 | 1 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Primary_ideal | 1,724 | 0 | 1 | 2 | 0 | 1 | 0 | 6 | 2 | 1 | 0 | 5 | 0 | 5 | 5 | 3 | 1 | 3 | 4 | 4 | 7 | 6 | 6 | 2 | 6 | 9 | 5 | 8 | 17 | 24 | 10 | 16 | 13 | 6 | 11 | 14 | 23 | 15 | 13 | 15 | 10 | 13 | 7 | 2 | 13 | 14 | 3 | 28 | 24 | 39 | 35 | 46 | 29 | 27 | 18 | 11 | 6 | 38 | 28 | 32 | 22 | 24 | 31 | 9 | 16 | 15 | 12 | 10 | 7 | 8 | 12 | 14 | 15 | 14 | 6 | 15 | 7 | 6 | 9 | 11 | 4 | 12 | 24 | 18 | 22 | 11 | 16 | 3 | 11 | 24 | 15 | 20 | 8 | 7 | 10 | 10 | 6 | 14 | 7 | 7 | 16 | 2 | 8 | 2 | 5 | 8 | 17 | 10 | 21 | 9 | 12 | 10 | 5 | 7 | 13 | 1 | 8 | 3 | 6 | 19 | 3 | 6 | 5 | 3 | 12 | 15 | 6 | 3 | 7 | 3 | 9 | 7 | 13 | 6 | 4 | 1 | 5 | 1 | 5 | 5 | 2 | 6 | 3 | 12 | 8 | 12 | 9 | 16 | 15 | 21 | 11 | 9 | 3 | 0 | 10 | 10 | 22 | 12 | 19 | 11 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
/wiki/UFD_not_implies_PID | 1,710 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 8 | 19 | 17 | 4 | 8 | 10 | 6 | 8 | 4 | 11 | 15 | 6 | 9 | 7 | 12 | 5 | 8 | 13 | 7 | 8 | 10 | 7 | 7 | 5 | 4 | 4 | 6 | 9 | 13 | 4 | 4 | 18 | 25 | 14 | 10 | 7 | 20 | 24 | 8 | 7 | 11 | 8 | 17 | 41 | 18 | 23 | 26 | 26 | 33 | 37 | 28 | 9 | 15 | 14 | 8 | 33 | 42 | 17 | 21 | 16 | 21 | 14 | 12 | 7 | 13 | 8 | 20 | 65 | 60 | 39 | 20 | 12 | 14 | 21 | 11 | 7 | 7 | 6 | 11 | 19 | 8 | 7 | 11 | 7 | 4 | 7 | 7 | 1 | 4 | 3 | 16 | 31 | 24 | 19 | 9 | 14 | 11 | 10 | 11 | 5 | 2 | 2 | 7 | 11 | 8 | 13 | 8 | 4 | 4 | 4 | 4 | 2 | 4 | 1 | 3 | 4 | 5 | 8 | 7 | 1 | 6 | 3 | 3 | 6 | 9 | 5 | 21 | 25 | 8 | 15 | 8 | 6 | 3 | 14 | 4 | 4 | 2 | 1 | 7 | 4 | 5 | 1 | 1 | 2 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_local_ring | 1,629 | 1 | 0 | 0 | 4 | 1 | 0 | 6 | 0 | 3 | 4 | 4 | 10 | 13 | 10 | 11 | 3 | 15 | 14 | 13 | 9 | 18 | 18 | 22 | 8 | 19 | 29 | 16 | 19 | 28 | 31 | 25 | 14 | 19 | 16 | 10 | 9 | 3 | 4 | 2 | 5 | 11 | 2 | 7 | 17 | 7 | 15 | 51 | 52 | 24 | 23 | 33 | 41 | 47 | 22 | 21 | 23 | 24 | 26 | 35 | 35 | 30 | 31 | 28 | 35 | 45 | 36 | 25 | 28 | 26 | 21 | 31 | 19 | 25 | 18 | 28 | 13 | 30 | 29 | 9 | 3 | 15 | 19 | 18 | 18 | 21 | 5 | 7 | 3 | 8 | 3 | 2 | 2 | 6 | 3 | 0 | 3 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 2 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 |
/wiki/Normal_ring | 1,492 | 0 | 2 | 5 | 1 | 2 | 5 | 10 | 2 | 0 | 3 | 2 | 6 | 6 | 3 | 1 | 2 | 11 | 3 | 8 | 7 | 2 | 8 | 4 | 12 | 2 | 6 | 1 | 9 | 8 | 5 | 13 | 12 | 7 | 7 | 7 | 3 | 10 | 10 | 7 | 10 | 10 | 6 | 1 | 5 | 7 | 5 | 11 | 16 | 14 | 12 | 14 | 11 | 13 | 24 | 5 | 7 | 11 | 10 | 11 | 7 | 16 | 13 | 13 | 22 | 30 | 9 | 8 | 6 | 10 | 9 | 6 | 14 | 8 | 8 | 9 | 25 | 11 | 10 | 9 | 3 | 11 | 2 | 5 | 8 | 3 | 8 | 19 | 11 | 8 | 11 | 7 | 16 | 13 | 2 | 11 | 7 | 9 | 4 | 8 | 7 | 10 | 9 | 4 | 12 | 1 | 6 | 1 | 7 | 4 | 7 | 4 | 8 | 9 | 12 | 7 | 4 | 5 | 4 | 5 | 10 | 7 | 7 | 5 | 6 | 2 | 7 | 8 | 2 | 1 | 6 | 8 | 4 | 5 | 8 | 12 | 15 | 42 | 41 | 20 | 2 | 5 | 6 | 14 | 26 | 7 | 12 | 22 | 14 | 22 | 10 | 15 | 4 | 2 | 8 | 9 | 14 | 9 | 35 | 13 | 6 | 9 | 9 | 7 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 2 | 0 | 1 | 0 | 3 | 2 | 14 | 8 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 3 | 5 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Multiplicative_Euclidean… | 1,468 | 2 | 5 | 8 | 0 | 9 | 3 | 3 | 3 | 3 | 7 | 10 | 2 | 6 | 1 | 7 | 8 | 5 | 7 | 6 | 5 | 6 | 1 | 6 | 8 | 7 | 8 | 2 | 8 | 7 | 4 | 9 | 6 | 10 | 9 | 8 | 7 | 3 | 4 | 12 | 13 | 17 | 8 | 7 | 8 | 4 | 15 | 14 | 22 | 12 | 6 | 24 | 13 | 18 | 26 | 21 | 27 | 13 | 24 | 20 | 16 | 13 | 30 | 25 | 19 | 14 | 36 | 36 | 10 | 12 | 17 | 16 | 20 | 25 | 14 | 16 | 10 | 14 | 18 | 16 | 11 | 7 | 8 | 13 | 12 | 10 | 8 | 10 | 9 | 26 | 8 | 3 | 5 | 5 | 15 | 13 | 6 | 8 | 6 | 11 | 7 | 6 | 5 | 15 | 8 | 2 | 2 | 6 | 8 | 9 | 8 | 4 | 11 | 11 | 7 | 5 | 1 | 2 | 4 | 9 | 6 | 6 | 5 | 6 | 7 | 9 | 6 | 5 | 1 | 4 | 2 | 6 | 6 | 3 | 3 | 7 | 4 | 5 | 8 | 5 | 2 | 9 | 3 | 9 | 3 | 4 | 10 | 6 | 5 | 6 | 12 | 2 | 7 | 4 | 9 | 1 | 11 | 4 | 4 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 4 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Artin-Tate_lemma | 1,422 | 2 | 0 | 3 | 6 | 4 | 18 | 6 | 4 | 6 | 5 | 16 | 12 | 6 | 7 | 5 | 2 | 12 | 5 | 6 | 3 | 4 | 5 | 6 | 2 | 11 | 22 | 6 | 14 | 4 | 22 | 6 | 7 | 15 | 14 | 13 | 17 | 12 | 13 | 21 | 8 | 11 | 3 | 8 | 5 | 3 | 9 | 10 | 7 | 6 | 11 | 14 | 6 | 7 | 9 | 9 | 7 | 8 | 0 | 25 | 16 | 30 | 14 | 8 | 2 | 9 | 16 | 15 | 4 | 2 | 5 | 3 | 4 | 12 | 13 | 4 | 12 | 3 | 12 | 10 | 9 | 4 | 12 | 1 | 11 | 0 | 11 | 5 | 14 | 18 | 10 | 8 | 3 | 7 | 3 | 5 | 5 | 6 | 10 | 7 | 8 | 7 | 9 | 14 | 5 | 3 | 2 | 8 | 7 | 11 | 14 | 3 | 7 | 9 | 17 | 2 | 8 | 10 | 20 | 15 | 26 | 36 | 32 | 11 | 13 | 27 | 15 | 18 | 5 | 19 | 18 | 19 | 10 | 15 | 21 | 19 | 6 | 11 | 1 | 3 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 2 | 0 | 1 | 4 | 0 | 1 | 2 | 1 | 1 | 2 | 1 | 6 | 0 | 1 | 0 | 5 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 1 | 1 | 1 | 0 | 4 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 0 | 0 | 0 | 0 | 10 | 0 | 0 |
/wiki/Prime_ideal | 1,418 | 0 | 3 | 2 | 2 | 0 | 0 | 4 | 2 | 4 | 4 | 2 | 3 | 6 | 6 | 3 | 10 | 12 | 13 | 15 | 9 | 8 | 17 | 7 | 7 | 13 | 8 | 3 | 5 | 12 | 14 | 19 | 13 | 11 | 11 | 7 | 12 | 4 | 9 | 16 | 6 | 3 | 7 | 4 | 7 | 3 | 12 | 17 | 25 | 13 | 20 | 27 | 23 | 16 | 18 | 11 | 10 | 7 | 8 | 17 | 25 | 20 | 17 | 16 | 17 | 15 | 9 | 7 | 11 | 8 | 10 | 18 | 28 | 11 | 4 | 6 | 8 | 8 | 7 | 4 | 2 | 11 | 11 | 10 | 4 | 5 | 8 | 7 | 5 | 10 | 10 | 7 | 4 | 7 | 5 | 5 | 4 | 8 | 4 | 3 | 8 | 0 | 4 | 4 | 1 | 1 | 2 | 5 | 10 | 6 | 8 | 3 | 4 | 8 | 5 | 5 | 0 | 7 | 4 | 9 | 10 | 15 | 6 | 2 | 8 | 15 | 12 | 13 | 5 | 4 | 2 | 4 | 7 | 5 | 2 | 4 | 4 | 7 | 12 | 9 | 6 | 4 | 6 | 16 | 14 | 11 | 11 | 10 | 17 | 15 | 20 | 8 | 2 | 7 | 3 | 10 | 4 | 10 | 22 | 8 | 7 | 2 | 3 | 0 | 0 | 0 | 1 | 3 | 0 | 0 | 1 | 0 | 2 | 2 | 0 | 0 | 0 | 1 | 0 | 1 | 6 | 1 | 0 | 1 | 4 | 0 | 4 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 2 | 0 | 0 | 0 | 0 |
/wiki/Integral_extension_impli… | 1,409 | 2 | 8 | 2 | 3 | 22 | 13 | 12 | 4 | 5 | 2 | 8 | 15 | 9 | 8 | 5 | 7 | 7 | 46 | 6 | 1 | 8 | 10 | 5 | 6 | 13 | 11 | 7 | 9 | 19 | 22 | 7 | 12 | 8 | 6 | 16 | 17 | 6 | 11 | 13 | 20 | 28 | 11 | 4 | 2 | 5 | 8 | 11 | 18 | 16 | 20 | 16 | 14 | 34 | 26 | 15 | 9 | 5 | 18 | 12 | 20 | 26 | 13 | 14 | 5 | 13 | 17 | 9 | 5 | 7 | 11 | 1 | 15 | 9 | 5 | 16 | 15 | 17 | 14 | 11 | 5 | 12 | 14 | 28 | 19 | 14 | 19 | 14 | 16 | 11 | 12 | 5 | 8 | 7 | 4 | 17 | 6 | 6 | 13 | 4 | 4 | 3 | 3 | 9 | 2 | 7 | 9 | 5 | 6 | 10 | 8 | 2 | 4 | 2 | 5 | 2 | 2 | 8 | 7 | 5 | 9 | 7 | 8 | 3 | 3 | 4 | 4 | 3 | 1 | 1 | 6 | 1 | 1 | 0 | 2 | 3 | 5 | 2 | 7 | 0 | 0 | 0 | 2 | 15 | 5 | 4 | 5 | 6 | 0 | 17 | 3 | 1 | 0 | 1 | 1 | 5 | 1 | 1 | 1 | 1 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Unique_factorization_dom… | 1,342 | 0 | 1 | 1 | 0 | 1 | 1 | 4 | 0 | 0 | 2 | 0 | 0 | 3 | 4 | 3 | 2 | 10 | 11 | 7 | 5 | 12 | 5 | 7 | 3 | 7 | 2 | 5 | 4 | 12 | 9 | 9 | 7 | 11 | 8 | 18 | 12 | 7 | 10 | 8 | 10 | 7 | 7 | 5 | 8 | 1 | 7 | 7 | 14 | 20 | 20 | 7 | 14 | 12 | 22 | 13 | 9 | 14 | 13 | 25 | 20 | 13 | 14 | 20 | 15 | 16 | 23 | 10 | 3 | 1 | 14 | 9 | 7 | 10 | 17 | 5 | 3 | 5 | 4 | 6 | 8 | 6 | 13 | 7 | 18 | 7 | 14 | 6 | 5 | 10 | 10 | 7 | 3 | 10 | 9 | 16 | 8 | 6 | 7 | 11 | 11 | 14 | 9 | 7 | 3 | 3 | 7 | 10 | 13 | 12 | 11 | 10 | 13 | 16 | 16 | 3 | 6 | 8 | 13 | 6 | 4 | 8 | 8 | 14 | 12 | 16 | 11 | 1 | 2 | 1 | 3 | 10 | 14 | 3 | 16 | 9 | 19 | 9 | 13 | 5 | 3 | 4 | 9 | 9 | 7 | 8 | 3 | 5 | 6 | 7 | 5 | 9 | 1 | 4 | 9 | 3 | 6 | 3 | 5 | 5 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 1 | 1 | 1 | 4 | 0 | 0 | 1 | 0 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Affine_ring | 1,325 | 1 | 11 | 6 | 9 | 7 | 8 | 10 | 4 | 10 | 6 | 25 | 24 | 17 | 9 | 9 | 10 | 11 | 21 | 7 | 9 | 16 | 19 | 17 | 17 | 35 | 22 | 14 | 23 | 19 | 6 | 9 | 17 | 18 | 10 | 16 | 18 | 24 | 13 | 12 | 10 | 12 | 15 | 11 | 5 | 9 | 8 | 26 | 25 | 17 | 11 | 11 | 10 | 20 | 8 | 16 | 11 | 12 | 9 | 23 | 14 | 21 | 11 | 14 | 20 | 9 | 17 | 25 | 10 | 8 | 8 | 7 | 16 | 24 | 13 | 8 | 9 | 16 | 16 | 9 | 6 | 14 | 12 | 13 | 13 | 18 | 18 | 18 | 8 | 18 | 16 | 10 | 6 | 3 | 14 | 15 | 6 | 4 | 2 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 5 | 2 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 6 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
/wiki/Element_of_minimum_norm_… | 1,224 | 4 | 1 | 1 | 3 | 5 | 5 | 6 | 1 | 3 | 2 | 0 | 9 | 1 | 7 | 10 | 12 | 13 | 10 | 4 | 2 | 6 | 1 | 9 | 8 | 9 | 7 | 12 | 8 | 14 | 9 | 2 | 10 | 1 | 4 | 9 | 7 | 5 | 24 | 17 | 2 | 8 | 8 | 1 | 3 | 2 | 9 | 18 | 14 | 14 | 24 | 14 | 5 | 15 | 2 | 5 | 2 | 0 | 4 | 17 | 6 | 2 | 21 | 9 | 15 | 4 | 0 | 2 | 3 | 1 | 5 | 30 | 6 | 7 | 9 | 2 | 8 | 5 | 10 | 6 | 4 | 4 | 11 | 22 | 13 | 12 | 17 | 4 | 17 | 9 | 5 | 3 | 3 | 11 | 2 | 14 | 4 | 2 | 0 | 0 | 3 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 5 | 0 | 5 | 2 | 1 | 6 | 4 | 0 | 0 | 2 | 1 | 0 | 4 | 0 | 2 | 8 | 0 | 5 | 0 | 0 | 0 | 0 | 1 | 0 | 9 | 0 | 4 | 0 | 7 | 3 | 0 | 0 | 2 | 1 | 6 | 20 | 5 | 2 | 4 | 9 | 15 | 17 | 9 | 32 | 5 | 3 | 2 | 11 | 7 | 0 | 8 | 3 | 9 | 22 | 40 | 52 | 67 | 1 | 7 | 3 | 2 | 0 | 1 | 3 | 1 | 8 | 1 | 3 | 1 | 2 | 5 | 4 | 3 | 7 | 1 | 1 | 2 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Affine_domain | 1,224 | 1 | 3 | 7 | 3 | 5 | 8 | 4 | 5 | 2 | 5 | 5 | 10 | 8 | 5 | 5 | 5 | 10 | 6 | 4 | 3 | 2 | 6 | 15 | 4 | 15 | 39 | 5 | 4 | 12 | 18 | 6 | 17 | 12 | 7 | 6 | 16 | 14 | 7 | 14 | 4 | 8 | 9 | 5 | 3 | 11 | 4 | 9 | 24 | 15 | 19 | 10 | 11 | 12 | 6 | 4 | 7 | 5 | 2 | 18 | 8 | 8 | 9 | 10 | 18 | 9 | 14 | 17 | 11 | 9 | 9 | 12 | 12 | 22 | 6 | 11 | 8 | 8 | 10 | 5 | 17 | 18 | 7 | 7 | 12 | 4 | 5 | 15 | 18 | 11 | 13 | 12 | 4 | 2 | 11 | 29 | 16 | 7 | 8 | 12 | 12 | 20 | 18 | 8 | 3 | 5 | 16 | 10 | 13 | 13 | 7 | 13 | 3 | 12 | 11 | 6 | 5 | 3 | 3 | 4 | 16 | 6 | 1 | 4 | 1 | 11 | 6 | 4 | 2 | 2 | 3 | 0 | 5 | 3 | 4 | 0 | 2 | 2 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Polynomial_ring_over_int… | 1,216 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 11 | 6 | 3 | 0 | 1 | 4 | 1 | 1 | 1 | 1 | 1 | 2 | 6 | 12 | 3 | 5 | 7 | 4 | 6 | 15 | 2 | 8 | 0 | 6 | 3 | 2 | 5 | 2 | 2 | 8 | 2 | 3 | 3 | 2 | 4 | 16 | 7 | 18 | 9 | 7 | 6 | 6 | 11 | 11 | 0 | 10 | 11 | 13 | 8 | 8 | 9 | 5 | 7 | 19 | 10 | 9 | 1 | 1 | 7 | 13 | 12 | 14 | 7 | 8 | 7 | 7 | 10 | 5 | 14 | 16 | 9 | 17 | 17 | 24 | 11 | 32 | 14 | 8 | 14 | 7 | 9 | 10 | 15 | 12 | 4 | 19 | 5 | 3 | 1 | 11 | 5 | 1 | 3 | 3 | 6 | 6 | 6 | 7 | 4 | 10 | 3 | 2 | 8 | 3 | 3 | 1 | 9 | 9 | 26 | 6 | 7 | 13 | 12 | 4 | 19 | 21 | 3 | 0 | 6 | 7 | 7 | 7 | 5 | 18 | 6 | 9 | 1 | 22 | 5 | 3 | 14 | 20 | 14 | 17 | 4 | 18 | 5 | 18 | 17 | 15 | 6 | 6 | 4 | 15 | 5 | 1 | 1 | 18 | 0 | 0 | 1 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Cohen-Macaulay_ring | 1,190 | 0 | 0 | 1 | 0 | 0 | 1 | 2 | 0 | 0 | 2 | 10 | 0 | 4 | 1 | 3 | 1 | 1 | 4 | 4 | 6 | 4 | 7 | 5 | 3 | 1 | 6 | 0 | 3 | 4 | 2 | 11 | 10 | 21 | 5 | 9 | 4 | 4 | 16 | 6 | 3 | 3 | 6 | 12 | 6 | 6 | 13 | 10 | 6 | 8 | 5 | 21 | 14 | 11 | 2 | 15 | 7 | 9 | 9 | 16 | 16 | 16 | 7 | 3 | 6 | 4 | 7 | 3 | 7 | 12 | 8 | 18 | 7 | 9 | 2 | 4 | 4 | 3 | 7 | 3 | 3 | 12 | 8 | 7 | 4 | 4 | 3 | 2 | 12 | 17 | 9 | 10 | 16 | 12 | 31 | 11 | 1 | 8 | 4 | 5 | 10 | 7 | 3 | 1 | 3 | 2 | 10 | 5 | 4 | 9 | 9 | 4 | 5 | 10 | 3 | 5 | 2 | 4 | 11 | 8 | 7 | 9 | 12 | 20 | 11 | 7 | 4 | 6 | 21 | 12 | 11 | 4 | 15 | 7 | 6 | 7 | 10 | 12 | 9 | 6 | 10 | 10 | 5 | 7 | 8 | 9 | 10 | 14 | 16 | 13 | 4 | 6 | 7 | 5 | 7 | 6 | 12 | 5 | 5 | 7 | 7 | 3 | 3 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 6 | 4 | 8 | 5 | 3 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Invertible_plus_nilpoten… | 1,164 | 0 | 3 | 1 | 2 | 4 | 11 | 5 | 0 | 2 | 3 | 18 | 2 | 6 | 8 | 7 | 7 | 13 | 6 | 4 | 0 | 1 | 4 | 8 | 4 | 4 | 9 | 11 | 23 | 10 | 10 | 14 | 13 | 8 | 7 | 28 | 12 | 10 | 10 | 14 | 163 | 25 | 4 | 2 | 11 | 3 | 9 | 39 | 21 | 12 | 14 | 15 | 38 | 27 | 10 | 17 | 6 | 10 | 17 | 10 | 7 | 5 | 7 | 4 | 3 | 3 | 4 | 10 | 2 | 8 | 1 | 7 | 12 | 5 | 4 | 1 | 6 | 9 | 12 | 3 | 3 | 5 | 3 | 4 | 13 | 6 | 6 | 6 | 3 | 4 | 25 | 1 | 3 | 2 | 4 | 9 | 2 | 7 | 10 | 14 | 5 | 11 | 3 | 12 | 3 | 1 | 1 | 8 | 2 | 2 | 4 | 4 | 1 | 6 | 6 | 2 | 4 | 1 | 6 | 0 | 3 | 2 | 4 | 3 | 2 | 2 | 4 | 0 | 3 | 0 | 1 | 2 | 1 | 0 | 1 | 1 | 8 | 3 | 3 | 2 | 0 | 0 | 1 | 4 | 2 | 0 | 1 | 1 | 3 | 2 | 0 | 1 | 3 | 0 | 0 | 3 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 2 | 1 | 0 | 0 | 0 |
/wiki/Primary_ring | 1,081 | 1 | 1 | 6 | 1 | 3 | 0 | 3 | 4 | 4 | 2 | 5 | 4 | 10 | 6 | 6 | 6 | 11 | 6 | 6 | 10 | 11 | 4 | 6 | 6 | 5 | 6 | 7 | 11 | 8 | 9 | 10 | 6 | 11 | 6 | 15 | 12 | 11 | 10 | 19 | 11 | 5 | 7 | 4 | 8 | 6 | 10 | 8 | 5 | 12 | 9 | 15 | 11 | 11 | 9 | 10 | 5 | 7 | 17 | 8 | 11 | 15 | 12 | 15 | 5 | 14 | 12 | 9 | 9 | 9 | 13 | 17 | 45 | 17 | 11 | 13 | 5 | 9 | 4 | 12 | 6 | 10 | 13 | 6 | 9 | 10 | 10 | 2 | 4 | 10 | 6 | 5 | 10 | 4 | 7 | 13 | 4 | 11 | 11 | 10 | 5 | 6 | 18 | 10 | 3 | 14 | 7 | 6 | 8 | 2 | 6 | 5 | 7 | 12 | 5 | 12 | 4 | 6 | 5 | 3 | 4 | 2 | 2 | 6 | 1 | 2 | 1 | 5 | 1 | 1 | 4 | 4 | 4 | 6 | 3 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 3 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 1 | 1 | 0 | 10 | 1 | 2 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Integral_morphism | 1,063 | 0 | 2 | 11 | 1 | 5 | 10 | 3 | 7 | 1 | 4 | 3 | 5 | 4 | 9 | 21 | 9 | 15 | 18 | 17 | 4 | 9 | 17 | 9 | 5 | 10 | 9 | 9 | 17 | 12 | 13 | 4 | 4 | 7 | 11 | 9 | 10 | 9 | 8 | 17 | 7 | 11 | 3 | 0 | 2 | 1 | 9 | 5 | 3 | 9 | 6 | 3 | 11 | 4 | 6 | 8 | 14 | 6 | 59 | 45 | 40 | 6 | 9 | 7 | 3 | 9 | 18 | 7 | 2 | 5 | 6 | 4 | 6 | 11 | 9 | 17 | 3 | 10 | 16 | 28 | 4 | 3 | 5 | 9 | 2 | 8 | 8 | 4 | 3 | 7 | 2 | 1 | 0 | 1 | 0 | 5 | 3 | 2 | 1 | 4 | 1 | 0 | 2 | 4 | 3 | 5 | 2 | 9 | 1 | 6 | 2 | 6 | 3 | 6 | 1 | 4 | 1 | 7 | 0 | 9 | 6 | 8 | 3 | 3 | 7 | 8 | 3 | 2 | 9 | 9 | 0 | 4 | 2 | 4 | 6 | 5 | 5 | 2 | 4 | 1 | 3 | 2 | 0 | 4 | 2 | 3 | 3 | 2 | 5 | 6 | 9 | 1 | 2 | 7 | 1 | 2 | 0 | 2 | 2 | 2 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Jacobson_ring | 1,041 | 0 | 0 | 0 | 0 | 2 | 1 | 6 | 0 | 1 | 0 | 3 | 2 | 4 | 0 | 1 | 3 | 5 | 2 | 9 | 3 | 1 | 5 | 3 | 11 | 8 | 8 | 3 | 0 | 7 | 5 | 8 | 10 | 17 | 9 | 8 | 1 | 7 | 12 | 3 | 4 | 9 | 3 | 12 | 7 | 13 | 4 | 7 | 15 | 9 | 16 | 11 | 9 | 13 | 4 | 13 | 5 | 14 | 23 | 15 | 19 | 11 | 6 | 5 | 14 | 8 | 9 | 5 | 7 | 7 | 4 | 10 | 14 | 12 | 1 | 2 | 14 | 8 | 5 | 4 | 0 | 5 | 8 | 15 | 3 | 11 | 14 | 9 | 3 | 12 | 8 | 4 | 1 | 7 | 6 | 19 | 5 | 6 | 5 | 2 | 5 | 4 | 4 | 2 | 2 | 0 | 4 | 3 | 9 | 2 | 5 | 5 | 7 | 11 | 23 | 1 | 1 | 1 | 4 | 2 | 4 | 4 | 2 | 4 | 1 | 16 | 10 | 6 | 5 | 3 | 3 | 3 | 5 | 9 | 16 | 5 | 6 | 12 | 13 | 3 | 4 | 3 | 1 | 7 | 7 | 12 | 8 | 14 | 8 | 7 | 5 | 3 | 3 | 4 | 5 | 6 | 6 | 2 | 1 | 5 | 1 | 3 | 0 | 3 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 3 | 3 | 0 | 3 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
/wiki/Dimension_of_an_ideal | 1,040 | 0 | 0 | 6 | 1 | 0 | 1 | 2 | 1 | 1 | 0 | 3 | 4 | 1 | 1 | 0 | 1 | 8 | 9 | 7 | 6 | 12 | 17 | 4 | 6 | 8 | 8 | 18 | 11 | 17 | 15 | 11 | 20 | 7 | 7 | 5 | 6 | 10 | 8 | 13 | 11 | 17 | 5 | 9 | 19 | 2 | 15 | 19 | 25 | 23 | 14 | 19 | 21 | 17 | 34 | 10 | 8 | 10 | 22 | 17 | 21 | 17 | 14 | 35 | 15 | 16 | 18 | 6 | 8 | 13 | 12 | 14 | 15 | 12 | 15 | 9 | 9 | 13 | 17 | 12 | 5 | 10 | 14 | 13 | 8 | 9 | 9 | 6 | 10 | 9 | 1 | 6 | 2 | 3 | 9 | 2 | 0 | 2 | 1 | 2 | 1 | 1 | 1 | 1 | 3 | 0 | 3 | 0 | 2 | 3 | 0 | 4 | 3 | 2 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 2 | 1 | 2 | 0 | 1 | 0 | 0 | 0 | 3 | 5 | 0 | 2 | 1 | 0 | 3 | 0 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Noetherian_implies_every… | 982 | 2 | 3 | 5 | 5 | 6 | 4 | 3 | 1 | 5 | 6 | 14 | 4 | 4 | 1 | 4 | 1 | 15 | 4 | 7 | 2 | 3 | 8 | 1 | 2 | 5 | 3 | 7 | 13 | 12 | 11 | 16 | 3 | 6 | 7 | 3 | 5 | 5 | 7 | 12 | 6 | 8 | 9 | 4 | 8 | 4 | 5 | 4 | 11 | 16 | 10 | 8 | 9 | 8 | 19 | 11 | 2 | 5 | 0 | 10 | 22 | 7 | 8 | 7 | 11 | 25 | 3 | 3 | 9 | 3 | 11 | 4 | 20 | 16 | 11 | 2 | 8 | 8 | 11 | 0 | 4 | 11 | 2 | 4 | 1 | 9 | 11 | 2 | 7 | 9 | 8 | 5 | 13 | 8 | 7 | 12 | 6 | 2 | 6 | 3 | 2 | 11 | 7 | 3 | 2 | 5 | 2 | 7 | 5 | 8 | 3 | 3 | 5 | 8 | 4 | 10 | 3 | 2 | 11 | 3 | 6 | 6 | 17 | 0 | 8 | 5 | 8 | 2 | 1 | 0 | 1 | 6 | 5 | 5 | 2 | 5 | 2 | 2 | 5 | 1 | 1 | 14 | 5 | 12 | 2 | 7 | 14 | 4 | 1 | 4 | 5 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 4 | 3 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 5 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Quasilocal_ring | 973 | 2 | 4 | 0 | 3 | 9 | 3 | 2 | 6 | 4 | 1 | 4 | 5 | 5 | 13 | 4 | 5 | 2 | 4 | 10 | 3 | 12 | 9 | 14 | 8 | 15 | 9 | 4 | 6 | 8 | 11 | 7 | 8 | 15 | 0 | 8 | 10 | 6 | 3 | 9 | 8 | 10 | 13 | 10 | 9 | 9 | 7 | 3 | 11 | 32 | 14 | 18 | 6 | 4 | 12 | 8 | 11 | 13 | 13 | 17 | 8 | 17 | 13 | 18 | 8 | 8 | 9 | 15 | 3 | 3 | 0 | 10 | 11 | 10 | 11 | 18 | 5 | 10 | 13 | 3 | 6 | 6 | 14 | 16 | 15 | 5 | 12 | 13 | 10 | 7 | 8 | 9 | 6 | 8 | 7 | 10 | 2 | 9 | 18 | 8 | 7 | 6 | 2 | 4 | 5 | 2 | 3 | 12 | 5 | 7 | 8 | 3 | 0 | 2 | 3 | 6 | 7 | 5 | 3 | 0 | 1 | 0 | 1 | 2 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 2 | 0 | 3 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Artin-Rees_lemma | 963 | 1 | 1 | 0 | 0 | 0 | 2 | 5 | 1 | 0 | 0 | 4 | 0 | 1 | 0 | 1 | 2 | 0 | 1 | 4 | 2 | 1 | 3 | 5 | 0 | 5 | 2 | 0 | 1 | 1 | 4 | 5 | 4 | 6 | 4 | 2 | 2 | 3 | 5 | 3 | 3 | 1 | 0 | 2 | 1 | 3 | 9 | 8 | 9 | 23 | 20 | 24 | 11 | 14 | 6 | 1 | 3 | 9 | 14 | 22 | 13 | 13 | 6 | 3 | 13 | 17 | 5 | 5 | 7 | 13 | 12 | 7 | 9 | 17 | 11 | 5 | 4 | 8 | 6 | 2 | 1 | 6 | 11 | 7 | 9 | 11 | 12 | 18 | 3 | 9 | 3 | 6 | 6 | 4 | 3 | 4 | 2 | 2 | 1 | 3 | 2 | 6 | 2 | 0 | 0 | 4 | 0 | 2 | 4 | 5 | 4 | 3 | 1 | 7 | 1 | 6 | 4 | 3 | 5 | 4 | 12 | 6 | 8 | 8 | 18 | 16 | 6 | 2 | 5 | 8 | 7 | 3 | 15 | 9 | 1 | 0 | 2 | 16 | 8 | 2 | 5 | 9 | 5 | 5 | 11 | 10 | 5 | 10 | 6 | 12 | 6 | 5 | 4 | 6 | 6 | 1 | 3 | 3 | 2 | 1 | 7 | 6 | 5 | 3 | 2 | 3 | 1 | 3 | 5 | 1 | 0 | 1 | 0 | 1 | 2 | 1 | 5 | 0 | 2 | 3 | 4 | 3 | 0 | 0 | 3 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 5 | 0 | 1 | 0 | 1 | 1 | 0 | 0 |
/wiki/Semisimple_Artinian_ring… | 959 | 0 | 0 | 0 | 0 | 0 | 0 | 4 | 0 | 1 | 0 | 1 | 3 | 1 | 0 | 2 | 3 | 4 | 6 | 5 | 0 | 2 | 4 | 6 | 5 | 6 | 5 | 6 | 5 | 2 | 3 | 9 | 4 | 9 | 3 | 4 | 4 | 11 | 12 | 4 | 3 | 4 | 4 | 1 | 3 | 5 | 7 | 10 | 15 | 16 | 14 | 16 | 12 | 8 | 10 | 8 | 4 | 8 | 13 | 11 | 13 | 10 | 9 | 10 | 5 | 19 | 13 | 10 | 2 | 3 | 6 | 17 | 3 | 9 | 8 | 2 | 4 | 6 | 5 | 5 | 1 | 15 | 14 | 14 | 6 | 11 | 3 | 13 | 9 | 14 | 12 | 4 | 10 | 32 | 7 | 9 | 17 | 2 | 8 | 4 | 5 | 4 | 3 | 0 | 2 | 4 | 5 | 4 | 8 | 6 | 5 | 2 | 8 | 5 | 1 | 4 | 7 | 7 | 6 | 5 | 4 | 10 | 9 | 14 | 9 | 7 | 8 | 2 | 2 | 1 | 1 | 6 | 2 | 3 | 5 | 3 | 2 | 3 | 4 | 1 | 2 | 4 | 8 | 8 | 13 | 7 | 2 | 5 | 6 | 9 | 7 | 0 | 4 | 6 | 1 | 5 | 2 | 1 | 1 | 1 | 2 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Ring_equals_max-localiza… | 953 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 2 | 5 | 4 | 0 | 0 | 3 | 0 | 0 | 0 | 6 | 2 | 4 | 8 | 4 | 1 | 3 | 4 | 3 | 3 | 4 | 7 | 2 | 11 | 3 | 9 | 5 | 3 | 2 | 1 | 4 | 2 | 5 | 6 | 6 | 7 | 9 | 1 | 4 | 6 | 2 | 3 | 10 | 2 | 5 | 4 | 3 | 3 | 3 | 3 | 12 | 6 | 2 | 3 | 1 | 5 | 1 | 3 | 4 | 1 | 5 | 1 | 4 | 2 | 1 | 2 | 4 | 4 | 2 | 1 | 7 | 2 | 7 | 19 | 2 | 5 | 5 | 8 | 2 | 3 | 9 | 8 | 3 | 5 | 6 | 16 | 8 | 8 | 4 | 3 | 4 | 9 | 17 | 16 | 3 | 3 | 4 | 11 | 43 | 4 | 10 | 6 | 11 | 6 | 9 | 8 | 7 | 14 | 17 | 10 | 16 | 13 | 1 | 3 | 7 | 10 | 9 | 4 | 10 | 17 | 29 | 24 | 9 | 17 | 8 | 14 | 18 | 17 | 17 | 4 | 3 | 24 | 12 | 12 | 16 | 1 | 3 | 6 | 2 | 4 | 7 | 1 | 4 | 1 | 1 | 5 | 3 | 2 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/One-dimensional_ring | 947 | 0 | 3 | 4 | 0 | 1 | 2 | 8 | 5 | 0 | 3 | 2 | 3 | 3 | 4 | 5 | 8 | 5 | 9 | 8 | 7 | 2 | 7 | 4 | 2 | 2 | 14 | 6 | 6 | 14 | 4 | 9 | 4 | 12 | 10 | 17 | 9 | 3 | 8 | 10 | 8 | 13 | 9 | 8 | 8 | 4 | 23 | 11 | 11 | 8 | 19 | 10 | 17 | 11 | 17 | 19 | 7 | 4 | 10 | 5 | 13 | 9 | 3 | 13 | 8 | 20 | 10 | 4 | 7 | 6 | 12 | 7 | 31 | 14 | 4 | 7 | 3 | 7 | 6 | 9 | 2 | 3 | 7 | 11 | 10 | 10 | 7 | 7 | 5 | 10 | 7 | 13 | 2 | 4 | 7 | 21 | 8 | 12 | 7 | 9 | 2 | 6 | 8 | 2 | 0 | 3 | 4 | 5 | 5 | 2 | 8 | 0 | 4 | 5 | 3 | 0 | 6 | 2 | 2 | 2 | 6 | 5 | 3 | 2 | 6 | 2 | 2 | 0 | 3 | 0 | 5 | 1 | 1 | 4 | 1 | 1 | 2 | 4 | 1 | 0 | 3 | 0 | 1 | 3 | 1 | 2 | 3 | 5 | 2 | 0 | 1 | 1 | 0 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Irreducible_implies_prim… | 936 | 2 | 1 | 0 | 5 | 5 | 2 | 1 | 6 | 2 | 7 | 8 | 5 | 8 | 5 | 5 | 11 | 8 | 8 | 5 | 2 | 9 | 15 | 8 | 17 | 6 | 9 | 14 | 10 | 18 | 12 | 26 | 11 | 6 | 46 | 19 | 17 | 20 | 17 | 7 | 28 | 16 | 7 | 4 | 3 | 3 | 3 | 8 | 21 | 13 | 13 | 16 | 10 | 13 | 11 | 1 | 7 | 1 | 4 | 11 | 11 | 11 | 24 | 7 | 6 | 11 | 11 | 6 | 11 | 13 | 7 | 15 | 12 | 6 | 5 | 17 | 7 | 6 | 3 | 14 | 4 | 3 | 6 | 19 | 11 | 23 | 0 | 5 | 2 | 4 | 0 | 1 | 0 | 1 | 6 | 4 | 1 | 0 | 5 | 0 | 3 | 5 | 2 | 0 | 0 | 0 | 0 | 1 | 3 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 2 | 2 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 4 | 2 | 1 | 4 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 2 | 3 | 1 | 0 | 1 | 0 | 4 | 2 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Reduced_ring | 880 | 0 | 1 | 1 | 1 | 4 | 5 | 3 | 2 | 1 | 3 | 3 | 2 | 4 | 3 | 0 | 4 | 21 | 13 | 7 | 3 | 1 | 2 | 3 | 5 | 2 | 2 | 6 | 9 | 5 | 7 | 8 | 7 | 7 | 4 | 4 | 4 | 8 | 11 | 4 | 8 | 7 | 9 | 6 | 4 | 6 | 6 | 20 | 16 | 13 | 10 | 11 | 14 | 17 | 10 | 16 | 7 | 2 | 14 | 14 | 11 | 18 | 11 | 15 | 15 | 16 | 4 | 12 | 3 | 1 | 0 | 1 | 8 | 3 | 3 | 4 | 3 | 2 | 2 | 1 | 1 | 2 | 0 | 1 | 5 | 3 | 6 | 5 | 0 | 7 | 5 | 4 | 6 | 6 | 9 | 7 | 6 | 4 | 6 | 2 | 0 | 5 | 2 | 0 | 4 | 0 | 4 | 2 | 1 | 2 | 9 | 2 | 5 | 9 | 8 | 2 | 0 | 1 | 6 | 1 | 8 | 2 | 2 | 5 | 9 | 1 | 2 | 10 | 0 | 2 | 4 | 1 | 3 | 2 | 1 | 1 | 5 | 3 | 4 | 11 | 3 | 2 | 5 | 2 | 6 | 4 | 2 | 9 | 3 | 10 | 0 | 2 | 0 | 4 | 7 | 8 | 3 | 10 | 18 | 6 | 2 | 6 | 7 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 5 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/One-dimensional_domain | 877 | 1 | 3 | 2 | 3 | 4 | 5 | 5 | 4 | 2 | 5 | 6 | 8 | 3 | 2 | 6 | 4 | 7 | 7 | 2 | 5 | 8 | 2 | 4 | 10 | 10 | 5 | 11 | 20 | 12 | 8 | 9 | 4 | 20 | 11 | 9 | 10 | 9 | 8 | 15 | 5 | 13 | 8 | 9 | 7 | 9 | 39 | 10 | 10 | 12 | 12 | 16 | 20 | 7 | 7 | 4 | 7 | 2 | 6 | 5 | 7 | 5 | 6 | 8 | 13 | 13 | 21 | 20 | 4 | 11 | 3 | 7 | 15 | 7 | 9 | 6 | 5 | 10 | 7 | 2 | 4 | 4 | 3 | 11 | 9 | 4 | 15 | 5 | 8 | 8 | 5 | 4 | 2 | 2 | 4 | 8 | 6 | 5 | 8 | 7 | 3 | 6 | 8 | 2 | 2 | 4 | 2 | 2 | 0 | 3 | 3 | 6 | 1 | 0 | 3 | 0 | 0 | 0 | 3 | 0 | 1 | 1 | 2 | 4 | 2 | 2 | 3 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 2 | 0 | 1 | 2 | 0 | 0 | 2 | 6 | 2 | 1 | 0 | 0 | 1 | 1 | 0 | 2 | 1 | 0 | 0 | 0 | 1 | 0 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Dedekind-Hasse_norm_impl… | 876 | 3 | 3 | 1 | 5 | 0 | 3 | 3 | 1 | 3 | 7 | 3 | 4 | 1 | 2 | 1 | 2 | 2 | 3 | 3 | 0 | 6 | 3 | 9 | 3 | 7 | 5 | 6 | 3 | 6 | 3 | 5 | 10 | 4 | 4 | 5 | 3 | 3 | 5 | 22 | 7 | 12 | 1 | 6 | 2 | 4 | 4 | 12 | 5 | 8 | 24 | 11 | 5 | 7 | 10 | 6 | 2 | 4 | 9 | 12 | 27 | 11 | 27 | 20 | 12 | 6 | 1 | 7 | 7 | 2 | 11 | 10 | 17 | 9 | 5 | 6 | 4 | 16 | 6 | 11 | 1 | 7 | 3 | 18 | 8 | 7 | 13 | 17 | 6 | 9 | 6 | 2 | 3 | 3 | 4 | 1 | 8 | 25 | 1 | 3 | 1 | 1 | 2 | 1 | 3 | 0 | 5 | 5 | 0 | 14 | 3 | 1 | 9 | 0 | 2 | 4 | 1 | 5 | 5 | 2 | 2 | 3 | 4 | 6 | 9 | 4 | 1 | 1 | 4 | 2 | 13 | 1 | 3 | 5 | 2 | 2 | 3 | 3 | 2 | 1 | 3 | 1 | 3 | 1 | 6 | 4 | 13 | 1 | 7 | 4 | 3 | 1 | 5 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 2 | 2 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
/wiki/Krull's_height_theorem | 874 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 5 | 0 | 1 | 2 | 1 | 2 | 1 | 0 | 0 | 0 | 2 | 2 | 0 | 4 | 1 | 3 | 3 | 4 | 5 | 1 | 3 | 13 | 10 | 6 | 6 | 7 | 8 | 7 | 8 | 3 | 9 | 4 | 7 | 3 | 15 | 18 | 23 | 26 | 16 | 22 | 15 | 15 | 21 | 16 | 10 | 15 | 9 | 14 | 8 | 20 | 4 | 4 | 1 | 5 | 14 | 12 | 2 | 13 | 9 | 8 | 5 | 5 | 3 | 3 | 9 | 13 | 6 | 17 | 9 | 17 | 14 | 18 | 26 | 13 | 22 | 11 | 11 | 9 | 19 | 5 | 6 | 7 | 5 | 8 | 3 | 1 | 9 | 1 | 7 | 4 | 0 | 1 | 3 | 0 | 2 | 1 | 4 | 2 | 2 | 5 | 3 | 4 | 3 | 3 | 0 | 1 | 2 | 4 | 1 | 14 | 1 | 3 | 2 | 1 | 1 | 1 | 2 | 1 | 1 | 8 | 0 | 1 | 3 | 4 | 1 | 1 | 3 | 1 | 1 | 3 | 3 | 2 | 1 | 0 | 1 | 2 | 1 | 1 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 4 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Spectrum_of_a_commutativ… | 873 | 0 | 0 | 2 | 1 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 5 | 4 | 5 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 3 | 7 | 3 | 2 | 6 | 1 | 2 | 1 | 2 | 4 | 2 | 0 | 1 | 2 | 3 | 2 | 3 | 2 | 2 | 8 | 3 | 8 | 6 | 4 | 7 | 7 | 5 | 2 | 3 | 2 | 3 | 4 | 11 | 11 | 9 | 0 | 5 | 9 | 6 | 1 | 2 | 4 | 6 | 4 | 4 | 5 | 5 | 0 | 4 | 1 | 5 | 2 | 2 | 6 | 13 | 7 | 12 | 11 | 3 | 8 | 10 | 13 | 3 | 9 | 12 | 6 | 13 | 3 | 8 | 5 | 7 | 4 | 8 | 3 | 9 | 2 | 1 | 3 | 4 | 2 | 8 | 10 | 7 | 7 | 4 | 4 | 9 | 0 | 1 | 3 | 9 | 9 | 11 | 6 | 3 | 7 | 14 | 14 | 5 | 8 | 5 | 5 | 1 | 6 | 9 | 11 | 15 | 3 | 7 | 9 | 9 | 4 | 8 | 12 | 5 | 14 | 5 | 16 | 21 | 13 | 28 | 16 | 10 | 2 | 8 | 4 | 9 | 7 | 0 | 4 | 4 | 1 | 5 | 6 | 5 | 0 | 0 | 3 | 0 | 1 | 0 | 0 | 0 | 2 | 2 | 3 | 3 | 5 | 1 | 3 | 1 | 1 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 |
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/wiki/Hilbert_syzygy_theorem | 632 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 3 | 1 | 2 | 1 | 4 | 2 | 3 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 3 | 2 | 1 | 3 | 1 | 8 | 1 | 3 | 4 | 5 | 0 | 0 | 3 | 4 | 4 | 7 | 3 | 4 | 3 | 2 | 9 | 6 | 6 | 5 | 9 | 7 | 6 | 6 | 5 | 6 | 3 | 10 | 6 | 0 | 5 | 4 | 8 | 3 | 3 | 4 | 1 | 2 | 2 | 10 | 10 | 7 | 14 | 13 | 4 | 5 | 4 | 10 | 5 | 0 | 1 | 7 | 0 | 10 | 7 | 3 | 3 | 9 | 7 | 11 | 7 | 12 | 7 | 3 | 6 | 6 | 4 | 3 | 0 | 0 | 2 | 4 | 5 | 7 | 2 | 4 | 4 | 19 | 11 | 7 | 11 | 6 | 3 | 6 | 3 | 3 | 1 | 4 | 3 | 2 | 8 | 13 | 5 | 16 | 7 | 3 | 4 | 4 | 2 | 2 | 1 | 3 | 9 | 5 | 4 | 5 | 1 | 4 | 2 | 4 | 1 | 3 | 1 | 3 | 3 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 4 | 0 | 1 | 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 |
/wiki/Category:Indispensable_l… | 623 | 0 | 4 | 1 | 1 | 0 | 3 | 2 | 1 | 1 | 1 | 2 | 5 | 0 | 3 | 4 | 0 | 4 | 3 | 3 | 1 | 1 | 2 | 1 | 3 | 2 | 2 | 3 | 3 | 11 | 6 | 2 | 2 | 5 | 1 | 2 | 6 | 8 | 3 | 1 | 6 | 1 | 0 | 8 | 0 | 0 | 5 | 2 | 4 | 5 | 6 | 14 | 4 | 5 | 1 | 8 | 7 | 11 | 5 | 10 | 4 | 5 | 5 | 0 | 0 | 7 | 0 | 5 | 4 | 5 | 0 | 5 | 6 | 8 | 1 | 1 | 4 | 1 | 3 | 1 | 0 | 1 | 0 | 2 | 7 | 0 | 0 | 2 | 1 | 2 | 1 | 0 | 2 | 0 | 3 | 1 | 1 | 5 | 1 | 1 | 0 | 1 | 6 | 2 | 0 | 0 | 1 | 1 | 2 | 4 | 1 | 1 | 2 | 9 | 0 | 5 | 5 | 4 | 9 | 1 | 9 | 12 | 15 | 3 | 4 | 6 | 6 | 1 | 4 | 16 | 7 | 3 | 6 | 9 | 4 | 1 | 6 | 8 | 6 | 1 | 0 | 7 | 0 | 3 | 1 | 3 | 10 | 5 | 2 | 1 | 6 | 3 | 9 | 3 | 4 | 0 | 3 | 2 | 2 | 0 | 2 | 0 | 3 | 0 | 3 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 1 | 1 | 6 | 14 | 0 | 0 | 5 | 1 | 0 | 0 | 6 | 0 | 1 | 5 | 9 | 2 | 2 | 4 | 1 | 4 | 0 | 0 |
/wiki/Jacobson_radical | 610 | 0 | 0 | 0 | 0 | 2 | 1 | 4 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 2 | 3 | 1 | 5 | 0 | 1 | 0 | 0 | 0 | 1 | 2 | 4 | 5 | 12 | 2 | 6 | 1 | 3 | 0 | 0 | 1 | 7 | 6 | 1 | 2 | 0 | 1 | 4 | 4 | 0 | 1 | 9 | 10 | 8 | 12 | 15 | 13 | 15 | 3 | 9 | 3 | 13 | 4 | 10 | 4 | 8 | 13 | 21 | 8 | 11 | 8 | 5 | 6 | 7 | 7 | 21 | 5 | 7 | 2 | 4 | 9 | 13 | 7 | 0 | 0 | 2 | 3 | 3 | 7 | 4 | 6 | 3 | 2 | 7 | 0 | 0 | 1 | 3 | 0 | 4 | 1 | 2 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 4 | 1 | 0 | 1 | 0 | 1 | 2 | 0 | 1 | 0 | 0 | 1 | 3 | 2 | 2 | 1 | 1 | 0 | 4 | 1 | 2 | 0 | 1 | 1 | 2 | 3 | 4 | 2 | 4 | 1 | 6 | 1 | 0 | 2 | 2 | 1 | 4 | 4 | 17 | 1 | 6 | 10 | 3 | 1 | 6 | 1 | 7 | 1 | 6 | 2 | 2 | 2 | 4 | 1 | 1 | 3 | 0 | 1 | 0 | 0 | 3 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 1 | 6 | 12 | 9 | 4 | 3 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Euclidean_norm | 575 | 0 | 0 | 1 | 0 | 0 | 2 | 1 | 0 | 3 | 2 | 5 | 0 | 1 | 0 | 11 | 2 | 4 | 5 | 2 | 2 | 1 | 4 | 2 | 2 | 2 | 3 | 2 | 1 | 2 | 5 | 3 | 4 | 6 | 5 | 4 | 4 | 3 | 5 | 8 | 5 | 7 | 4 | 3 | 6 | 1 | 2 | 6 | 3 | 3 | 11 | 6 | 2 | 4 | 5 | 3 | 4 | 2 | 5 | 9 | 5 | 7 | 8 | 5 | 9 | 7 | 5 | 6 | 1 | 3 | 5 | 5 | 9 | 8 | 5 | 4 | 3 | 3 | 3 | 3 | 2 | 0 | 4 | 2 | 8 | 6 | 5 | 2 | 7 | 8 | 6 | 2 | 5 | 1 | 2 | 6 | 2 | 3 | 2 | 2 | 6 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 5 | 5 | 4 | 6 | 4 | 4 | 1 | 2 | 0 | 0 | 1 | 5 | 2 | 5 | 1 | 2 | 3 | 5 | 2 | 1 | 0 | 0 | 2 | 1 | 3 | 6 | 2 | 3 | 2 | 2 | 11 | 0 | 1 | 4 | 0 | 5 | 0 | 7 | 7 | 3 | 3 | 6 | 7 | 2 | 1 | 1 | 6 | 0 | 6 | 2 | 10 | 3 | 2 | 2 | 3 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Dedekind_domain | 573 | 0 | 0 | 0 | 1 | 1 | 0 | 5 | 2 | 0 | 1 | 1 | 1 | 3 | 0 | 2 | 1 | 5 | 0 | 6 | 0 | 2 | 1 | 6 | 2 | 1 | 4 | 2 | 3 | 4 | 7 | 4 | 6 | 3 | 9 | 8 | 10 | 0 | 4 | 1 | 2 | 7 | 3 | 2 | 1 | 6 | 8 | 4 | 8 | 13 | 10 | 11 | 14 | 10 | 4 | 3 | 1 | 7 | 6 | 9 | 4 | 3 | 6 | 5 | 10 | 9 | 5 | 0 | 3 | 4 | 4 | 9 | 2 | 3 | 5 | 0 | 5 | 3 | 3 | 1 | 1 | 5 | 5 | 26 | 4 | 4 | 9 | 3 | 2 | 6 | 2 | 2 | 4 | 0 | 5 | 0 | 4 | 1 | 2 | 1 | 3 | 2 | 0 | 1 | 2 | 2 | 1 | 3 | 3 | 4 | 1 | 2 | 6 | 6 | 3 | 4 | 1 | 2 | 2 | 2 | 0 | 1 | 4 | 11 | 1 | 2 | 2 | 1 | 1 | 1 | 2 | 3 | 3 | 1 | 7 | 1 | 6 | 4 | 2 | 2 | 1 | 0 | 3 | 2 | 4 | 2 | 3 | 3 | 4 | 4 | 1 | 1 | 1 | 0 | 4 | 3 | 2 | 4 | 0 | 1 | 0 | 1 | 3 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 2 | 1 | 0 | 0 | 2 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Ring_of_rational_integer… | 567 | 0 | 2 | 1 | 1 | 2 | 5 | 3 | 4 | 0 | 2 | 2 | 3 | 2 | 4 | 2 | 2 | 4 | 8 | 2 | 3 | 1 | 2 | 3 | 3 | 4 | 1 | 5 | 5 | 5 | 4 | 4 | 4 | 4 | 4 | 0 | 2 | 4 | 7 | 12 | 3 | 3 | 4 | 8 | 3 | 0 | 2 | 5 | 2 | 6 | 8 | 4 | 6 | 12 | 9 | 2 | 4 | 8 | 5 | 4 | 5 | 7 | 7 | 8 | 11 | 12 | 6 | 8 | 8 | 11 | 7 | 10 | 6 | 7 | 9 | 5 | 5 | 1 | 5 | 8 | 1 | 16 | 3 | 8 | 2 | 6 | 7 | 4 | 5 | 21 | 34 | 8 | 4 | 2 | 5 | 2 | 2 | 11 | 0 | 4 | 1 | 2 | 0 | 4 | 1 | 0 | 5 | 2 | 1 | 0 | 1 | 2 | 2 | 1 | 6 | 1 | 0 | 1 | 1 | 2 | 3 | 0 | 0 | 2 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 2 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Graded_Nakayama's_lemma | 567 | 0 | 0 | 1 | 2 | 0 | 3 | 2 | 0 | 1 | 3 | 1 | 0 | 0 | 2 | 5 | 0 | 1 | 0 | 0 | 0 | 0 | 5 | 3 | 1 | 5 | 0 | 2 | 0 | 6 | 2 | 2 | 2 | 3 | 2 | 1 | 5 | 6 | 1 | 0 | 3 | 1 | 0 | 6 | 2 | 1 | 4 | 5 | 7 | 1 | 15 | 5 | 6 | 7 | 4 | 2 | 5 | 6 | 12 | 4 | 8 | 7 | 9 | 0 | 3 | 2 | 1 | 13 | 3 | 4 | 4 | 9 | 3 | 14 | 3 | 5 | 5 | 4 | 1 | 3 | 2 | 3 | 2 | 4 | 5 | 3 | 2 | 6 | 1 | 6 | 4 | 4 | 6 | 1 | 1 | 4 | 6 | 8 | 2 | 1 | 4 | 1 | 7 | 2 | 1 | 0 | 3 | 3 | 8 | 5 | 5 | 6 | 2 | 9 | 1 | 4 | 2 | 2 | 5 | 1 | 5 | 1 | 27 | 0 | 4 | 3 | 1 | 1 | 1 | 5 | 2 | 1 | 6 | 2 | 2 | 5 | 3 | 2 | 6 | 2 | 1 | 0 | 7 | 4 | 1 | 5 | 6 | 6 | 1 | 3 | 6 | 1 | 6 | 3 | 1 | 4 | 1 | 1 | 2 | 4 | 1 | 0 | 1 | 0 | 3 | 1 | 0 | 1 | 3 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 3 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Cohen-Macaulay_ideal | 550 | 1 | 3 | 1 | 1 | 3 | 7 | 5 | 8 | 6 | 4 | 3 | 0 | 0 | 1 | 6 | 1 | 0 | 3 | 4 | 2 | 0 | 2 | 7 | 3 | 8 | 3 | 1 | 2 | 1 | 0 | 3 | 1 | 12 | 4 | 4 | 1 | 4 | 4 | 2 | 5 | 4 | 9 | 0 | 2 | 3 | 6 | 1 | 5 | 4 | 1 | 3 | 2 | 8 | 3 | 10 | 8 | 6 | 5 | 6 | 5 | 7 | 3 | 5 | 3 | 8 | 6 | 3 | 4 | 4 | 5 | 11 | 9 | 5 | 4 | 0 | 7 | 5 | 4 | 3 | 7 | 2 | 3 | 5 | 4 | 1 | 7 | 5 | 5 | 8 | 9 | 3 | 2 | 3 | 4 | 5 | 3 | 6 | 2 | 3 | 6 | 3 | 3 | 3 | 7 | 2 | 2 | 4 | 2 | 0 | 2 | 2 | 5 | 3 | 1 | 3 | 2 | 5 | 12 | 7 | 4 | 7 | 2 | 1 | 1 | 1 | 3 | 1 | 2 | 5 | 3 | 4 | 2 | 1 | 3 | 1 | 1 | 0 | 1 | 2 | 8 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Set_of_zero_divisors_on_… | 549 | 9 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 2 | 4 | 1 | 1 | 9 | 1 | 5 | 6 | 2 | 0 | 1 | 5 | 2 | 1 | 6 | 11 | 9 | 7 | 10 | 6 | 2 | 9 | 7 | 7 | 3 | 5 | 10 | 6 | 7 | 5 | 4 | 11 | 11 | 9 | 7 | 3 | 6 | 12 | 5 | 5 | 3 | 3 | 7 | 9 | 17 | 4 | 7 | 8 | 3 | 12 | 6 | 5 | 1 | 6 | 0 | 5 | 5 | 7 | 9 | 10 | 7 | 9 | 5 | 4 | 1 | 3 | 1 | 11 | 4 | 6 | 6 | 7 | 4 | 1 | 2 | 7 | 3 | 0 | 3 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 2 | 0 | 1 | 0 | 0 | 4 | 2 | 1 | 2 | 1 | 3 | 3 | 4 | 0 | 0 | 0 | 0 | 0 | 4 | 2 | 1 | 0 | 1 | 2 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 3 | 0 | 2 | 2 | 6 | 1 | 3 | 1 | 1 | 3 | 2 | 5 | 3 | 3 | 1 | 3 | 5 | 0 | 0 | 0 | 0 | 3 | 0 | 2 | 1 | 0 | 2 | 0 | 3 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Contraction | 541 | 1 | 2 | 5 | 2 | 2 | 5 | 7 | 0 | 1 | 2 | 4 | 5 | 2 | 5 | 1 | 2 | 6 | 8 | 4 | 5 | 6 | 1 | 4 | 2 | 6 | 3 | 2 | 10 | 10 | 11 | 9 | 3 | 6 | 1 | 4 | 3 | 5 | 5 | 8 | 4 | 4 | 2 | 1 | 0 | 2 | 1 | 6 | 5 | 2 | 4 | 6 | 5 | 4 | 13 | 3 | 3 | 8 | 3 | 4 | 5 | 5 | 12 | 5 | 5 | 15 | 10 | 5 | 3 | 2 | 1 | 3 | 2 | 6 | 1 | 5 | 4 | 4 | 4 | 4 | 3 | 4 | 2 | 3 | 2 | 4 | 2 | 5 | 4 | 2 | 2 | 1 | 0 | 1 | 1 | 5 | 1 | 0 | 7 | 0 | 5 | 0 | 0 | 3 | 0 | 0 | 1 | 2 | 2 | 2 | 5 | 0 | 3 | 3 | 2 | 2 | 0 | 2 | 1 | 2 | 3 | 1 | 2 | 2 | 2 | 2 | 4 | 5 | 1 | 3 | 1 | 3 | 4 | 3 | 2 | 5 | 2 | 9 | 7 | 5 | 5 | 1 | 3 | 2 | 5 | 2 | 1 | 1 | 2 | 4 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 2 | 0 | 3 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Gcd_domain | 535 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 2 | 0 | 5 | 2 | 2 | 2 | 6 | 6 | 8 | 0 | 5 | 6 | 3 | 5 | 2 | 5 | 8 | 4 | 9 | 8 | 2 | 4 | 4 | 7 | 0 | 3 | 3 | 6 | 3 | 4 | 1 | 4 | 1 | 0 | 1 | 3 | 2 | 2 | 5 | 6 | 5 | 6 | 10 | 13 | 17 | 12 | 8 | 14 | 8 | 4 | 10 | 5 | 4 | 9 | 16 | 12 | 8 | 14 | 3 | 2 | 3 | 11 | 4 | 5 | 7 | 6 | 10 | 4 | 3 | 0 | 2 | 6 | 3 | 2 | 8 | 4 | 7 | 2 | 4 | 4 | 2 | 2 | 3 | 1 | 2 | 3 | 8 | 2 | 2 | 0 | 2 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 3 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 4 | 6 | 0 | 2 | 0 | 1 | 0 | 1 | 0 | 0 | 2 | 1 | 1 | 3 | 2 | 2 | 2 | 1 | 3 | 0 | 0 | 3 | 3 | 1 | 6 | 1 | 3 | 1 | 0 | 0 | 2 | 1 | 1 | 7 | 0 | 1 | 1 | 0 | 0 | 1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Ring_of_trigonometric_po… | 528 | 0 | 0 | 0 | 1 | 0 | 1 | 0 | 2 | 2 | 3 | 0 | 2 | 2 | 0 | 0 | 0 | 4 | 0 | 0 | 0 | 1 | 2 | 2 | 0 | 2 | 4 | 1 | 3 | 12 | 5 | 6 | 1 | 4 | 2 | 1 | 1 | 8 | 7 | 2 | 5 | 3 | 8 | 0 | 0 | 0 | 1 | 4 | 16 | 24 | 10 | 9 | 10 | 8 | 9 | 3 | 1 | 4 | 3 | 5 | 3 | 1 | 1 | 1 | 1 | 19 | 3 | 14 | 2 | 2 | 3 | 8 | 13 | 4 | 5 | 6 | 5 | 4 | 4 | 1 | 3 | 5 | 0 | 2 | 1 | 5 | 3 | 4 | 2 | 6 | 3 | 13 | 1 | 2 | 3 | 1 | 6 | 1 | 3 | 0 | 2 | 9 | 10 | 3 | 0 | 1 | 2 | 0 | 3 | 1 | 1 | 2 | 0 | 1 | 7 | 14 | 0 | 1 | 1 | 0 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 3 | 3 | 2 | 1 | 4 | 8 | 5 | 1 | 1 | 6 | 6 | 2 | 0 | 2 | 3 | 4 | 10 | 3 | 3 | 1 | 0 | 0 | 1 | 7 | 5 | 1 | 4 | 4 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Nakayama's_lemma | 524 | 0 | 0 | 1 | 1 | 1 | 6 | 2 | 0 | 1 | 3 | 7 | 0 | 1 | 2 | 2 | 0 | 6 | 0 | 0 | 0 | 0 | 5 | 1 | 1 | 5 | 2 | 0 | 1 | 11 | 4 | 3 | 1 | 10 | 6 | 2 | 5 | 1 | 7 | 2 | 2 | 3 | 2 | 10 | 3 | 3 | 7 | 2 | 7 | 6 | 10 | 10 | 7 | 4 | 4 | 6 | 8 | 3 | 5 | 7 | 5 | 5 | 1 | 4 | 5 | 3 | 2 | 5 | 0 | 0 | 5 | 6 | 1 | 5 | 3 | 6 | 1 | 4 | 1 | 2 | 2 | 2 | 3 | 4 | 10 | 1 | 6 | 7 | 2 | 6 | 0 | 2 | 1 | 1 | 1 | 4 | 4 | 4 | 2 | 0 | 4 | 0 | 4 | 2 | 0 | 0 | 3 | 2 | 3 | 2 | 1 | 0 | 3 | 3 | 1 | 3 | 0 | 2 | 1 | 5 | 7 | 3 | 5 | 2 | 2 | 1 | 2 | 1 | 3 | 14 | 0 | 1 | 2 | 5 | 1 | 1 | 5 | 5 | 3 | 0 | 2 | 4 | 1 | 5 | 2 | 1 | 9 | 6 | 2 | 6 | 6 | 4 | 2 | 8 | 1 | 0 | 2 | 2 | 4 | 2 | 1 | 2 | 2 | 1 | 1 | 0 | 0 | 1 | 2 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/PID_implies_UFD | 512 | 0 | 0 | 2 | 1 | 1 | 1 | 0 | 1 | 2 | 3 | 1 | 2 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 2 | 1 | 0 | 1 | 0 | 2 | 1 | 6 | 5 | 8 | 14 | 20 | 1 | 10 | 4 | 7 | 3 | 10 | 6 | 8 | 7 | 0 | 2 | 1 | 1 | 0 | 5 | 8 | 9 | 6 | 3 | 8 | 10 | 8 | 9 | 12 | 7 | 0 | 13 | 10 | 6 | 9 | 6 | 6 | 6 | 12 | 6 | 7 | 1 | 3 | 4 | 4 | 1 | 4 | 4 | 1 | 5 | 0 | 0 | 1 | 3 | 2 | 0 | 4 | 3 | 4 | 2 | 6 | 1 | 3 | 2 | 0 | 0 | 1 | 1 | 1 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 3 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 3 | 1 | 2 | 1 | 13 | 2 | 0 | 1 | 0 | 0 | 0 | 3 | 3 | 4 | 1 | 3 | 5 | 6 | 1 | 0 | 4 | 10 | 5 | 5 | 7 | 3 | 1 | 3 | 4 | 4 | 4 | 1 | 4 | 3 | 0 | 2 | 1 | 7 | 1 | 3 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 2 | 0 | 3 | 0 | 0 | 4 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
/wiki/Category:Basic_definitio… | 508 | 0 | 0 | 1 | 2 | 0 | 6 | 2 | 1 | 1 | 3 | 0 | 4 | 3 | 0 | 0 | 1 | 5 | 2 | 0 | 2 | 1 | 0 | 0 | 0 | 1 | 2 | 1 | 1 | 3 | 2 | 4 | 4 | 9 | 0 | 3 | 4 | 4 | 20 | 3 | 5 | 0 | 2 | 1 | 1 | 0 | 2 | 0 | 12 | 3 | 4 | 2 | 5 | 1 | 2 | 6 | 3 | 3 | 4 | 10 | 6 | 1 | 4 | 8 | 1 | 5 | 5 | 3 | 0 | 2 | 1 | 3 | 1 | 2 | 2 | 1 | 5 | 0 | 4 | 0 | 1 | 0 | 0 | 2 | 2 | 2 | 1 | 0 | 2 | 2 | 2 | 1 | 3 | 3 | 1 | 4 | 1 | 2 | 3 | 2 | 2 | 1 | 4 | 52 | 0 | 0 | 0 | 5 | 3 | 10 | 0 | 0 | 0 | 1 | 5 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 3 | 2 | 1 | 3 | 0 | 6 | 1 | 2 | 0 | 1 | 2 | 2 | 3 | 1 | 3 | 1 | 3 | 7 | 7 | 2 | 7 | 1 | 2 | 2 | 4 | 8 | 3 | 4 | 2 | 1 | 1 | 4 | 1 | 2 | 3 | 4 | 2 | 4 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 6 | 1 | 0 | 0 | 3 | 0 | 1 | 2 | 0 | 1 | 1 | 1 | 4 | 4 | 5 | 1 | 4 | 1 | 3 | 5 | 0 | 1 | 0 | 1 | 2 | 4 | 1 | 2 | 4 | 0 | 4 | 0 | 0 |
Total of shown rows | 227,773 | 145 | 567 | 7,213 | 542 | 3,406 | 903 | 894 | 3,853 | 544 | 3,131 | 806 | 961 | 1,067 | 10,408 | 901 | 959 | 1,628 | 1,604 | 1,280 | 905 | 890 | 1,180 | 1,253 | 1,315 | 1,667 | 1,675 | 1,467 | 1,530 | 2,227 | 1,937 | 1,865 | 1,471 | 1,451 | 1,507 | 1,687 | 2,441 | 1,573 | 1,681 | 1,656 | 1,688 | 1,913 | 1,461 | 1,059 | 1,054 | 1,686 | 1,527 | 2,166 | 3,413 | 3,463 | 2,503 | 2,623 | 2,542 | 2,722 | 2,493 | 2,275 | 1,357 | 1,663 | 2,187 | 2,833 | 2,825 | 2,550 | 2,584 | 2,273 | 2,113 | 2,713 | 2,318 | 1,786 | 1,193 | 1,270 | 1,344 | 1,972 | 2,017 | 1,991 | 1,609 | 1,447 | 1,547 | 1,893 | 1,817 | 1,241 | 960 | 1,172 | 1,395 | 1,643 | 1,596 | 1,491 | 1,674 | 1,528 | 1,184 | 1,724 | 1,312 | 1,009 | 843 | 818 | 895 | 1,313 | 966 | 1,022 | 1,169 | 867 | 863 | 1,181 | 829 | 729 | 424 | 466 | 806 | 942 | 1,045 | 1,104 | 912 | 631 | 762 | 936 | 815 | 581 | 393 | 418 | 703 | 992 | 1,103 | 1,160 | 875 | 756 | 750 | 929 | 926 | 630 | 464 | 452 | 509 | 721 | 777 | 786 | 776 | 695 | 813 | 1,065 | 1,153 | 736 | 564 | 537 | 686 | 973 | 1,011 | 1,046 | 898 | 1,026 | 814 | 1,099 | 930 | 603 | 360 | 400 | 461 | 457 | 489 | 447 | 515 | 437 | 300 | 313 | 308 | 230 | 169 | 34 | 132 | 119 | 70 | 56 | 83 | 76 | 63 | 128 | 100 | 78 | 148 | 146 | 202 | 303 | 292 | 204 | 82 | 60 | 78 | 92 | 61 | 62 | 45 | 35 | 41 | 46 | 89 | 81 | 52 | 57 | 16 | 49 | 9 | 1 |
Total | 284,295 | 196 | 677 | 7,349 | 654 | 3,557 | 1,111 | 1,240 | 3,953 | 677 | 3,235 | 1,079 | 1,149 | 1,266 | 10,622 | 1,154 | 1,236 | 2,088 | 2,023 | 1,562 | 1,131 | 1,150 | 1,524 | 1,570 | 1,599 | 2,099 | 2,124 | 1,772 | 1,917 | 2,758 | 2,441 | 2,361 | 1,873 | 2,489 | 1,931 | 2,214 | 2,957 | 1,914 | 2,258 | 2,154 | 2,092 | 2,382 | 1,832 | 1,296 | 1,419 | 1,848 | 1,880 | 2,620 | 4,064 | 4,012 | 3,089 | 3,167 | 3,056 | 3,270 | 2,998 | 2,702 | 1,675 | 2,032 | 2,621 | 3,481 | 3,367 | 3,125 | 3,189 | 2,786 | 2,662 | 3,314 | 2,793 | 2,203 | 1,522 | 1,566 | 1,698 | 2,358 | 2,514 | 2,503 | 2,047 | 1,749 | 1,909 | 2,317 | 2,115 | 1,484 | 1,182 | 1,487 | 1,792 | 2,036 | 1,962 | 1,817 | 2,253 | 1,883 | 1,472 | 2,205 | 1,667 | 1,282 | 1,075 | 1,060 | 1,193 | 1,631 | 1,234 | 1,359 | 1,464 | 1,062 | 1,240 | 1,673 | 1,030 | 1,021 | 664 | 595 | 990 | 1,168 | 1,418 | 1,367 | 1,141 | 980 | 1,052 | 1,260 | 1,109 | 737 | 504 | 565 | 969 | 1,202 | 1,338 | 1,448 | 1,107 | 1,018 | 970 | 1,236 | 1,281 | 781 | 600 | 634 | 699 | 958 | 1,048 | 1,065 | 970 | 939 | 1,122 | 1,362 | 1,579 | 1,036 | 797 | 764 | 979 | 1,342 | 1,384 | 1,481 | 1,212 | 1,481 | 1,198 | 1,559 | 1,269 | 855 | 556 | 608 | 649 | 746 | 793 | 678 | 792 | 733 | 507 | 473 | 494 | 354 | 236 | 52 | 155 | 181 | 121 | 98 | 120 | 145 | 106 | 190 | 148 | 118 | 199 | 226 | 338 | 463 | 478 | 325 | 141 | 125 | 163 | 200 | 138 | 99 | 105 | 52 | 66 | 93 | 190 | 178 | 140 | 208 | 50 | 103 | 23 | 5 |
h-index | n.a. | 5 | 11 | 14 | 13 | 14 | 15 | 16 | 11 | 12 | 13 | 15 | 16 | 16 | 14 | 14 | 17 | 23 | 21 | 19 | 16 | 18 | 18 | 19 | 20 | 22 | 22 | 19 | 23 | 24 | 24 | 24 | 18 | 19 | 23 | 22 | 22 | 21 | 23 | 22 | 22 | 24 | 21 | 16 | 18 | 15 | 21 | 26 | 30 | 30 | 27 | 27 | 27 | 29 | 26 | 25 | 20 | 22 | 26 | 29 | 30 | 27 | 28 | 26 | 24 | 28 | 24 | 22 | 17 | 17 | 19 | 23 | 24 | 24 | 21 | 21 | 22 | 23 | 23 | 19 | 17 | 18 | 22 | 22 | 22 | 20 | 22 | 21 | 18 | 22 | 18 | 15 | 15 | 14 | 16 | 19 | 17 | 17 | 17 | 15 | 17 | 19 | 16 | 14 | 11 | 10 | 14 | 16 | 19 | 19 | 14 | 15 | 14 | 15 | 16 | 13 | 10 | 10 | 13 | 16 | 16 | 16 | 15 | 15 | 14 | 16 | 17 | 14 | 10 | 11 | 11 | 15 | 15 | 15 | 16 | 15 | 15 | 17 | 19 | 15 | 10 | 12 | 14 | 17 | 16 | 18 | 15 | 17 | 15 | 18 | 17 | 14 | 10 | 9 | 10 | 10 | 11 | 11 | 14 | 11 | 8 | 8 | 8 | 7 | 6 | 4 | 4 | 6 | 5 | 4 | 5 | 5 | 4 | 5 | 5 | 5 | 6 | 6 | 8 | 8 | 8 | 7 | 5 | 4 | 5 | 6 | 4 | 4 | 4 | 2 | 3 | 4 | 6 | 5 | 5 | 5 | 2 | 5 | 2 | 1 |