https://hdl.handle.net/1721.1/118158 2026-04-03T20:42:55Z https://hdl.handle.net/1721.1/157699 Data for "Variations on five-dimensional sphere packings" Cohn, Henry; Rajagopal, Isaac This data set includes all the code and data from the paper "Variations on five-dimensional sphere packings" by Cohn and Rajagopal. 2024-12-01T00:00:00Z https://hdl.handle.net/1721.1/153928 Data for "Optimality of spherical codes via exact semidefinite programming bounds" Cohn, Henry; de Laat, David; Leijenhorst, Nando This data set includes all the code and data from the paper "Optimality of spherical codes via exact semidefinite programming bounds" by Cohn, de Laat, and Leijenhorst. 2024-03-25T00:00:00Z https://hdl.handle.net/1721.1/153543 Table of spherical codes Cohn, Henry This table lists the best spherical codes I am aware of with up to 1024 points in up to 32 dimensions. It archives the data from https://spherical-codes.org in a form more suitable for citation, since it is likely to be preserved much longer than the web site. 2024-02-18T00:00:00Z https://hdl.handle.net/1721.1/153312 Table of kissing number bounds Cohn, Henry This table shows the best lower and upper bounds known for the kissing number in Euclidean spaces of dimensions 1 through 48 and 72. 2024-01-16T00:00:00Z https://hdl.handle.net/1721.1/153311 Table of sphere packing density bounds Cohn, Henry This table shows the best lower and upper bounds known for the packing density of congruent spheres in Euclidean spaces of dimensions 1 through 48, 56, 64, and 72. 2024-01-15T00:00:00Z https://hdl.handle.net/1721.1/147005 Grassmannian packings This table of Grassmannian packings was created by N. J. A. Sloane based on joint work with R. H. Hardin and J. H. Conway in "Packing lines, planes, etc.: packings in Grassmannian spaces" (Experiment. Math. 5 (1996), 139–159, https://projecteuclid.org/euclid.em/1047565645). Sloane has since retired from AT&T Labs, and Henry Cohn has taken over maintaining the table. 2023-01-08T00:00:00Z https://hdl.handle.net/1721.1/147004 Sloane's tables of point configurations on spheres These tables of point configurations on spheres were created by N. J. A. Sloane based on joint work with R. H. Hardin, W. D. Smith, and others. Sloane has since retired from AT&T Labs, and Henry Cohn has taken over maintaining the tables 2023-01-07T00:00:00Z https://hdl.handle.net/1721.1/143590 Data for "Three-point bounds for sphere packing" Cohn, Henry; de Laat, David; Salmon, Andrew This data set includes all the numerical data from the paper "Three-point bounds for sphere packing" by Cohn, de Laat, and Salmon. 2022-06-29T00:00:00Z https://hdl.handle.net/1721.1/142661 Small spherical and projective codes Cohn, Henry This data set describes the best spherical and real projective codes that are known to exist (to the best of my knowledge), for up to 32 points on spheres or 16 lines through the origin in the real projective case. It includes numerical approximations and in many cases exact constructions. 2022-05-23T00:00:00Z https://hdl.handle.net/1721.1/141226 Computer-assisted proof of kernel inequalities Cohn, Henry; Kumar, Abhinav; Miller, Stephen D.; Radchenko, Danylo; Viazovska, Maryna This data set provides a computer-assisted proof for the kernel inequalities needed to prove universal optimality in the paper "Universal optimality of the E_8 and Leech lattices and interpolation formulas" (by Cohn, Kumar, Miller, Radchenko, and Viazovska). It includes both our original proof using Mathematica and a revised proof using Sage. 2022-03-16T00:00:00Z https://hdl.handle.net/1721.1/130937 Point configurations minimizing harmonic energy on spheres Ballinger, Brandon; Blekherman, Grigoriy; Cohn, Henry; Giansiracusa, Noah; Kelly, Elizabeth; Schürmann, Achill This data set contains updated numerical data for the paper "Experimental study of energy-minimizing point configurations on spheres" (Experiment. Math. 18 (2009), no. 3, 257-283). 2021-06-13T00:00:00Z https://hdl.handle.net/1721.1/130355 Data for "Dual linear programming bounds for sphere packing via modular forms" Cohn, Henry; Triantafillou, Nicholas This data set contains numerical data for the paper "Dual linear programming bounds for sphere packing via modular forms" by Cohn and Triantafillou (available on the arXiv with arXiv ID 1909.04772, at the URL https://arXiv.org/abs/1909.04772). 2021-04-04T00:00:00Z https://hdl.handle.net/1721.1/125646 Modular bootstrap data Afkhami-Jeddi, Nima; Cohn, Henry; Hartman, Thomas; de Laat, David; Tajdini, Amirhossein This data set includes the numerical data from the papers "High-dimensional sphere packing and the modular bootstrap" (by Afkhami-Jeddi, Cohn, Hartman, de Laat, and Tajdini) and "Free partition functions and an averaged holographic duality" (by Afkhami-Jeddi, Cohn, Hartman, and Tajdini). 2020-06-03T00:00:00Z https://hdl.handle.net/1721.1/118165 Data for "An optimal uncertainty principle in twelve dimensions via modular forms" Cohn, Henry; Gonçalves, Felipe This data set includes all the numerical data referred to in the paper "An optimal uncertainty principle in twelve dimensions via modular forms" by Cohn and Gonçalves (available on the arXiv with arXiv ID 1712.04438, at the URL https://arXiv.org/abs/1712.04438). 2018-09-24T00:00:00Z