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 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
/wiki/Product_of_ideals 7,375 102 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/Radical_ideal 6,492 64 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/Main_Page 4,987 31 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/Nilradical_equals_inters… 4,888 79 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/Power_of_an_ideal 4,555 65 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/Finitely_generated_ideal… 4,177 40 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/Polynomial_ring_over_a_f… 4,063 49 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/Prime_avoidance_lemma 3,766 18 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/Normal_domain 2,912 19 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/Induced_map_on_spectra_b… 2,633 41 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/Principal_ideal_domain 2,505 4 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/Multivariate_polynomial_… 2,281 45 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/Euclidean_domain 2,131 7 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
/ 1,989 3 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/Irreducible_element_not_… 1,899 13 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/Irreducible_implies_prim… 1,847 21 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/Regular_local_ring_impli… 1,701 11 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/Universal_side_divisor 1,585 6 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/Multiplicative_norm 1,542 19 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/Commutative_unital_ring 1,530 22 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/Intersection_of_maximal_… 1,501 18 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/Minimal_prime_ideal 1,494 21 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/Noetherian_ring 1,458 13 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/Proper_ideal 1,453 33 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/Principal_ideal 1,430 22 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/Codimension_of_an_ideal 1,428 13 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/Integral_domain 1,400 18 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/UFD_not_implies_PID 1,318 6 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/Zero-dimensional_ring 1,255 10 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/Noetherian_ring_has_fini… 1,249 8 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/Equidimensional_ring 1,246 8 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/Principal_ideal_ring_iff… 1,234 17 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/Ideal_generated_by_two_p… 1,230 13 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/Primary_ideal 1,137 1 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/Normal_ring 1,119 3 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/Krull_dimension 1,071 13 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/Multiplicative_Euclidean… 1,033 18 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/Nilradical_is_an_ideal 1,013 17 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/Polynomial_ring_over_int… 985 6 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/Unique_factorization_dom… 962 5 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/Artin-Tate_lemma 961 7 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 914 4 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/Cohen-Macaulay_ring 899 11 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/Noetherian_local_ring 834 14 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/Element_of_minimum_norm_… 822 3 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/Ring_equals_max-localiza… 805 2 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/Integral_extension_impli… 781 11 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/Spectrum_of_a_commutativ… 754 4 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
/wiki/Affine_domain 750 3 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/Noetherian_domain 748 14 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/Artin-Rees_lemma 748 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/Jacobson_ring 732 8 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/Semisimple_Artinian_ring… 694 5 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/Primary_ring 673 1 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 640 3 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/Noetherian_implies_every… 626 9 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/Annihilator_of_Noetheria… 623 18 4 8 14 8 5 6 4 2 4 20 6 0 1 2 3 4 8 7 5 1 5 8 12 7 7 15 3 1 9 3 2 9 8 15 2 4 2 6 1 11 9 4 2 0 7 8 2 4 2 2 8 0 1 7 5 0 7 11 2 6 0 6 9 9 9 11 5 7 18 2 10 2 3 3 3 3 2 44 4 10 9 6 2 2 0 1 11 5 5 34 2 8 1 6 7 0 0 1 0 0 1 6 3 0 0 1 3 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
/wiki/Total_quotient_ring 604 2 3 3 5 4 12 22 14 14 10 16 21 13 14 12 11 6 11 16 7 8 15 13 10 12 15 19 4 14 7 7 16 5 8 9 5 14 13 5 7 7 4 1 7 4 2 0 3 1 1 5 4 0 0 0 1 1 3 0 9 1 1 0 1 3 2 1 1 3 1 1 1 1 1 1 1 3 3 0 1 2 6 8 6 4 1 0 3 7 11 4 0 3 2 6 4 0 1 2 3 3 4 1 5 0 2 2 2 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0
/wiki/Reduced_Noetherian_impli… 597 6 3 8 3 11 15 7 13 3 2 14 5 12 3 3 8 5 6 23 15 4 4 15 11 4 4 6 10 9 2 2 7 3 0 4 2 5 14 1 1 7 4 0 1 2 2 16 9 7 2 4 4 3 8 21 4 1 0 10 11 8 4 8 9 16 8 15 15 2 5 8 7 1 0 1 1 2 1 3 2 4 3 8 7 3 2 1 6 12 5 2 5 7 1 1 11 1 0 2 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
/wiki/Krull_intersection_theor… 594 1 13 12 12 7 19 14 8 10 8 26 9 5 0 2 11 2 6 7 12 10 4 2 7 7 7 3 7 11 2 17 4 5 1 9 2 2 4 3 4 5 6 3 1 4 2 8 1 4 0 7 1 1 2 0 5 7 7 5 8 0 4 1 2 0 9 2 4 2 1 10 3 2 7 2 5 0 19 1 6 1 4 8 22 2 3 0 9 7 31 12 7 3 5 10 2 2 1 2 0 0 4 0 0 0 1 0 1 0 0 0 0 0 4 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
/wiki/Dedekind-Hasse_norm_impl… 592 2 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_principal_ideal_… 585 4 4 5 8 11 16 6 9 24 11 9 3 4 3 9 3 5 7 14 4 7 12 42 11 7 1 2 11 6 9 8 10 6 3 10 8 1 0 8 6 11 2 1 5 2 5 3 5 0 2 2 1 2 6 2 4 1 0 3 2 4 0 1 3 5 14 18 4 2 2 3 1 0 1 0 3 8 2 5 6 10 3 3 3 11 3 6 8 8 11 6 11 4 2 4 5 1 0 0 1 1 1 0 6 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
/wiki/Affine_ring 583 11 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/Spectrum_is_sober 568 1 1 1 1 0 0 2 1 8 1 0 0 1 0 1 5 1 1 0 1 2 0 4 0 1 0 0 0 2 0 3 0 0 0 0 0 0 0 9 2 0 0 0 0 2 2 3 0 2 0 8 0 0 0 0 3 0 0 0 0 0 0 0 0 67 128 88 60 66 71 0 1 3 2 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 2 0 0 0 2 0 2 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 0 0 1 0 0 0 0
/wiki/Krull's_height_theorem 560 8 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/Quasilocal_ring 549 1 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/Every_proper_ideal_is_co… 542 11 10 27 33 25 34 12 24 13 22 21 16 8 9 12 10 8 14 12 11 4 13 15 9 2 5 10 9 8 10 4 4 3 4 5 3 7 12 8 1 8 2 2 0 1 0 0 0 0 0 0 0 0 0 0 1 0 4 3 0 0 0 0 0 0 0 1 0 1 2 2 3 0 1 0 2 0 1 0 2 0 1 1 4 1 1 1 2 1 3 3 4 1 1 1 1 0 0 0 0 0 0 0 3 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
/wiki/Reduced_ring 535 8 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_ring 534 6 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/Krull_intersection_theor… 534 1 1 1 6 2 1 3 2 2 1 1 1 5 1 2 1 2 1 2 7 1 2 2 1 1 1 6 3 3 7 4 0 4 3 5 4 3 4 1 3 9 4 7 1 2 1 7 2 1 1 3 7 5 6 5 5 5 7 15 4 2 2 5 5 4 12 8 8 6 4 13 4 1 3 3 2 6 7 0 2 3 1 4 6 2 1 4 1 8 9 15 13 21 16 20 11 7 11 6 4 4 11 6 5 6 2 3 6 4 1 3 3 0 0 0 1 0 2 5 0 0 0 3 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0
/wiki/Dimension_of_an_ideal 531 6 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/Hilbert_syzygy_theorem 489 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/Prime_element 483 8 9 10 32 76 63 71 70 27 4 6 4 4 1 0 1 3 1 4 0 3 4 3 3 2 0 0 1 2 2 1 12 3 4 5 2 0 2 1 1 1 0 1 1 1 0 0 0 0 0 0 0 2 3 0 1 0 1 2 0 0 0 0 0 0 1 0 1 2 0 1 2 0 0 0 1 2 3 0 0 0 0 2 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 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 0
/wiki/Integrally_closed_subrin… 471 3 2 3 0 9 16 11 9 11 10 13 10 4 0 7 4 6 6 9 3 10 7 3 8 2 3 3 3 3 6 0 8 6 2 9 1 0 8 3 3 2 12 0 5 7 11 3 3 2 2 7 0 4 5 7 2 1 7 2 4 2 0 1 6 1 3 4 2 1 1 4 3 3 2 2 4 1 0 0 6 1 2 2 5 4 5 1 2 6 0 6 2 6 2 7 10 2 1 2 3 3 3 7 7 4 3 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 1 2 0 0 0 0 0 1 0 0 0 1 1 2 0 0 0 0 0 0
/wiki/Invertible_plus_nilpoten… 460 8 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/Spectrum_of_Noetherian_r… 459 0 7 5 11 6 6 14 7 8 6 8 8 2 0 2 10 9 6 13 8 3 4 21 13 5 8 7 8 6 2 3 8 2 1 3 8 2 12 3 3 6 9 2 3 2 2 5 11 3 0 4 4 3 5 5 4 2 5 3 6 2 3 1 0 1 0 2 3 0 2 10 6 0 1 1 1 5 5 0 2 0 0 1 3 4 0 6 3 2 8 2 6 1 3 9 7 0 0 4 3 2 0 0 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0
/wiki/Unique_factorization_dom… 453 6 4 4 7 12 10 14 38 3 7 4 6 16 2 0 1 7 8 14 10 1 3 0 15 3 1 0 3 1 7 0 1 3 2 7 2 4 0 6 3 0 0 1 0 0 0 5 0 2 0 1 0 4 6 7 8 4 3 3 10 1 4 0 1 4 2 1 3 1 5 1 1 0 1 4 0 0 2 21 12 0 3 1 3 0 4 1 4 5 2 33 4 4 1 3 1 2 0 1 1 0 0 18 7 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 1 0 0 0 0 0 0 0 0
/wiki/Category:Indispensable_l… 452 1 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/Steinitz_theorem 450 25 2 2 1 9 5 7 2 4 10 6 2 10 10 3 6 13 9 13 17 6 6 11 10 5 6 8 5 5 13 1 4 2 10 12 6 3 8 1 7 5 8 3 3 2 6 5 4 3 1 4 7 1 4 1 5 17 13 3 1 1 1 1 1 1 2 0 5 2 1 2 2 1 2 2 1 4 0 0 3 2 2 1 1 0 2 2 1 1 3 3 0 0 1 1 2 0 1 0 3 2 1 0 3 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 0
/wiki/UFD_implies_gcd 450 5 7 2 3 3 8 4 9 12 6 12 3 5 8 12 11 15 14 9 21 9 18 9 6 3 2 0 4 2 10 4 8 5 2 9 1 0 4 1 4 2 6 4 0 2 1 3 7 1 2 1 0 6 2 7 1 2 5 3 1 0 2 1 3 1 0 1 3 3 2 2 0 2 1 0 2 3 2 2 10 3 3 4 1 2 3 1 3 6 5 6 2 3 3 2 2 6 0 3 2 3 4 4 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0
/wiki/Jacobson_radical 439 8 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/Graded_Nakayama's_lemma 432 1 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/One-dimensional_domain 422 2 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/Every_Euclidean_ring_has… 421 2 2 7 2 22 3 8 28 2 13 11 1 11 11 2 8 53 19 4 2 8 14 5 36 5 1 4 7 4 2 4 2 1 9 5 0 1 1 2 1 7 0 3 4 1 2 3 1 1 0 0 0 0 0 2 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 3 3 0 6 2 1 0 1 2 3 6 0 2 5 4 0 0 1 0 2 1 1 3 0 1 2 7 1 1 0 2 0 0 0 1 0 1 1 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
/wiki/Catenary_ring 408 1 1 1 1 7 3 1 7 4 2 8 3 2 4 5 4 7 8 1 6 7 3 9 7 6 3 2 4 6 3 5 8 0 1 3 6 9 1 2 8 3 2 7 1 8 11 6 4 1 4 1 6 0 4 5 6 5 2 12 5 3 4 4 7 3 14 3 6 3 7 6 5 5 3 0 6 2 3 7 3 2 6 2 6 7 4 0 0 3 1 0 2 3 0 1 1 1 1 0 1 0 1 0 1 1 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
/wiki/Maximal_ideal 401 3 4 4 12 13 18 25 13 9 14 5 2 6 4 6 9 3 5 4 2 4 3 9 4 5 2 2 5 5 4 7 0 6 1 6 4 3 3 4 3 3 0 0 0 1 4 3 1 6 2 0 0 2 0 4 1 0 2 2 1 0 2 0 1 3 0 1 2 2 2 3 1 0 1 3 0 1 2 1 1 2 3 2 6 5 0 0 3 4 4 1 3 4 8 5 7 6 2 4 3 3 1 1 3 3 3 0 0 0 1 0 0 0 0 0 0 2 0 1 0 0 1 0 3 3 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0
/wiki/Euclidean_norm 400 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/Ring_of_continuous_real-… 395 0 3 5 1 3 4 7 7 6 4 11 16 10 7 1 0 9 8 2 2 8 2 5 5 6 7 3 2 6 8 1 1 4 5 2 5 8 2 2 4 3 4 4 11 3 3 4 12 3 8 0 1 4 3 2 1 2 5 6 2 4 1 0 0 3 6 2 4 2 1 6 2 2 0 0 3 0 5 1 4 1 2 3 1 1 4 7 2 0 4 8 3 10 3 2 6 2 2 0 3 4 2 3 1 1 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 0 0 0 0 0 0 0
/wiki/Category:Terminology 392 4 5 2 0 7 3 0 2 4 1 1 1 2 1 0 0 0 1 0 1 0 1 5 2 0 2 2 1 2 0 0 3 2 0 2 1 0 2 5 1 3 4 0 1 4 3 2 4 5 0 1 1 2 10 4 0 0 0 3 4 1 0 2 1 4 2 4 4 4 3 1 2 8 1 5 1 0 1 2 5 1 6 5 5 7 9 3 4 4 6 1 7 8 3 12 6 5 1 7 3 4 7 6 3 5 2 4 0 1 1 0 0 5 1 3 2 7 1 1 4 1 4 1 1 4 5 4 1 6 1 3 2 4 3 0 1 2 5 1 6 5 0 4 0 0
/wiki/Irreducible_implies_prim… 384 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/Cohen-Macaulay_ideal 369 6 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/Category:Basic_definitio… 369 2 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
/wiki/Hilbert-Samuel_polynomia… 367 2 2 8 6 4 12 11 12 3 11 9 4 3 5 4 12 7 11 12 2 6 3 2 11 1 3 1 7 5 8 7 6 4 6 8 10 0 5 4 2 3 4 1 4 1 4 0 0 1 0 0 0 2 6 7 6 4 3 2 1 4 3 1 0 1 3 1 0 1 1 2 0 2 0 0 0 0 0 1 0 2 3 0 0 1 1 3 0 5 4 6 2 7 1 3 2 1 0 0 1 0 0 5 1 5 0 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
/wiki/Ring_of_rational_integer… 366 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/Dedekind_not_implies_PID… 365 1 1 3 5 5 4 5 5 6 10 7 11 4 5 5 1 6 6 7 2 5 7 5 6 5 5 3 3 11 16 8 4 2 7 4 9 6 3 2 11 4 8 4 4 5 4 1 2 1 5 2 2 3 1 7 1 7 4 0 1 3 3 4 2 3 2 3 3 0 5 4 1 0 2 5 2 3 2 1 2 0 2 0 4 2 1 0 1 2 0 0 8 0 2 0 0 0 0 0 0 2 1 1 0 0 0 0 1 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 0 0 0 0
/wiki/Regular_local_ring 364 1 3 7 8 12 14 23 20 7 10 13 5 4 7 3 3 7 5 4 7 4 6 7 6 1 0 1 4 7 6 4 6 11 2 4 1 1 1 4 0 0 1 3 8 3 7 1 1 0 2 0 1 0 1 2 1 0 2 5 0 2 0 0 2 3 1 1 0 8 1 1 4 0 0 0 2 0 3 1 3 2 3 3 1 5 1 3 2 2 1 2 2 6 5 1 1 4 1 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
/wiki/Dedekind_domain 363 2 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/Nakayama's_lemma 342 4 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/Ring_of_trigonometric_po… 339 2 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/Nilradical 338 3 1 2 4 23 11 6 4 13 5 13 4 5 2 1 4 1 7 11 8 2 1 6 0 0 3 4 2 6 5 3 2 1 5 4 3 4 1 2 1 3 0 2 7 1 1 1 0 4 1 0 0 1 6 0 3 1 3 7 3 0 0 1 1 0 0 1 0 0 1 4 1 0 0 4 0 3 3 5 1 4 4 6 7 3 4 2 2 2 4 0 5 12 6 2 4 4 1 0 0 0 0 1 2 3 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Total of shown rows 122,629 1,220 1,338 1,647 2,163 2,845 2,815 2,547 2,578 2,268 2,094 2,695 2,306 1,763 1,197 1,261 1,355 1,966 2,035 1,995 1,607 1,445 1,532 1,901 1,830 1,244 967 1,167 1,406 1,651 1,607 1,495 1,680 1,513 1,187 1,732 1,326 1,018 849 830 911 1,320 971 1,034 1,174 885 878 1,188 837 734 431 470 814 943 1,067 1,124 920 647 766 948 822 587 402 427 713 1,000 1,114 1,166 876 755 762 939 895 636 468 461 516 725 779 791 780 690 825 1,058 1,159 740 573 543 683 972 1,008 1,039 905 1,050 817 1,104 938 608 357 404 457 452 496 455 518 442 299 312 307 231 170 34 132 125 72 59 85 83 65 128 103 79 152 145 207 305 297 210 79 65 77 91 62 66 48 35 42 47 92 82 58 62 16 53 9 1
Total 158,965 1,461 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