This will display the locations serviced content. This will display the locations serviced content. This will display the locations serviced content.

Demo 1 Logo Demo 1 Logo Club Z!

In-Home & Online Tutoring

Get Math Help

Optional custom content. This can be any HTML containing text, images, links, etc... It will be displayed on all pages!
Demo 1 / Get Math Help

Leech Lattice

Description of lattice

Description of lattice

Lattice invariants

dimension | 24 determinant | 1 minimal squared norm | 4 kissing number | 196560

Lattice-packing invariants

packing radius | 1 covering radius | sqrt(2)≈1.41421 density | π^12/479001600≈0.00192957 center density | 1 Hermite invariant | 4 thickness | (4 π^12)/467775≈7.90354 volume | 1

Quadratic form and theta series

quadratic form | 8 x_1^2 + 8 x_2 x_1 + 8 x_3 x_1 + 8 x_4 x_1 + 8 x_5 x_1 + 8 x_6 x_1 + 8 x_7 x_1 + 4 x_8 x_1 + 8 x_9 x_1 + 8 x_10 x_1 + 8 x_11 x_1 + ... + 2 x_14 x_24 + 2 x_15 x_24 + 2 x_16 x_24 - 2 x_17 x_24 + 2 x_18 x_24 + 2 x_19 x_24 + 2 x_20 x_24 + 4 x_21 x_24 + 4 x_22 x_24 + 4 x_23 x_24 (277 terms) theta series (closed series) | 1/8 (ϑ_2(0, e^(i π x))^8 + ϑ_3(0, e^(i π x))^8 + ϑ_4(0, e^(i π x))^8)^3 - 45/16 ϑ_2(0, e^(i π x))^8 ϑ_3(0, e^(i π x))^8 ϑ_4(0, e^(i π x))^8

More properties

dual | Leech lattice modular number | 1 number of symmetries | 8315553613086720000

Common properties

even | extremal | integral | unimodular

Associated person

John Leech

Why Club Z!?

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu. Vestibulum vulputate

We're Awesome!

Vestibulum vitae aliquam nunc. Suspendisse mollis metus ac tellus egestas pharetra. Suspendisse at viverra purus. Pellentesque nec posuere ligula, eu congue leo. Integer vulputate tempor arcu.

OUR PURPOSE

We tutor you in the subjects you need to help you progress.

Pre-K Reading Writing Math Science Studdy Skills

Subjects We Tutor

What Is Domain In Math

What Is Domain In Math ‘

Read More...
What Is Domain In Math

What Is Domain In Math ‘

Read More...
Volume of a Sphere

Volume of a Sphere ‘

Read More...
Area of a Triangle

Area of a Triangle ‘

Read More...
Distance Formula

Distance Formula ‘

Read More...
Distance Formula

Distance Formula ‘

Read More...
Volume of a Cylinder

Volume of a Cylinder ‘

Read More...
Find the right fit or it’s free.

We guarantee you’ll find the right tutor, or we’ll cover the first hour of your lesson.