Finite Group Databasebeta

← Group #72277479

Character table — Group #72277479

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11222244444444556688888888888888881212121216161616161616161820202020202020202424242430303232323232323232323232323232323236364848484848484848808080808080808090120120120120
order125510103333666644441515151515151515303030303030303020202020333366662121212121212121212121212221515151515151515303030303030303010106060606060606060121212121212121246666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111−1−i32−1+i3211−1−i32−1+i3211111111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1+i32
χ411111111−1−i32−1+i3211−1−i32−1+i32-1-1111111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-11+i321+i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321−i32
χ511111111−1+i32−1−i3211−1+i32−1−i3211111111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1−i32
χ611111111−1+i32−1−i3211−1+i32−1−i32-1-1111111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-11−i321−i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321+i32
χ7111111−1−i32−1+i3211−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211
χ8111111−1−i32−1+i3211−1−i32−1+i3211-1-111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211+i321+i321−i321−i32-1-1-1-1−1−i32−1+i3211-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111+i321+i321−i321−i321+i321+i321−i321−i32-11+i321−i32-1-1
χ9111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1+i3211−1−i32−1+i3211−1−i321−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i321−1−i32−1+i32−1−i32−1+i32
χ10111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1+i3211−1−i32−1+i3211−1−i3211+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-1-1−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i32-1-1-1-11+i321+i32-11+i321−i321+i321−i32
χ11111111−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i321111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211111−1−i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1+i32−1−i32
χ12111111−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32-1-111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211111−1−i32−1+i3211−1−i32−1+i32111+i321+i321−i321−i321−i321−i321+i321+i32−1−i32−1+i32−1+i32−1−i32-1-111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32-1-11+i321+i321−i321−i32-1-1-11+i321−i321−i321+i32
χ13111111−1+i32−1−i3211−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211
χ14111111−1+i32−1−i3211−1+i32−1−i3211-1-111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−i321−i321+i321+i32-1-1-1-1−1+i32−1−i3211-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111−i321−i321+i321+i321−i321−i321+i321+i32-11−i321+i32-1-1
χ15111111−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i321111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211111−1+i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1−i32−1+i32
χ16111111−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32-1-111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211111−1+i32−1−i3211−1+i32−1−i32111−i321−i321+i321+i321+i321+i321−i321−i32−1+i32−1−i32−1−i32−1+i32-1-111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32-1-11−i321−i321+i321+i32-1-1-11−i321+i321+i321−i32
χ17111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1−i3211−1+i32−1−i3211−1+i321−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i321−1+i32−1−i32−1+i32−1−i32
χ18111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1−i3211−1+i32−1−i3211−1+i3211−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-1-1−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i32-1-1-1-11−i321−i32-11−i321+i321−i321+i32
χ1922−1−52−1+52−1−52−1+52222222220022−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222200000000222200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000
χ2022−1−52−1+52−1−52−1+5222−1−i3−1+i322−1−i3−1+i30022−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1−52−1+52−1+52−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i320000000022−1−i3−1+i300−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ380000000000000
χ2122−1−52−1+52−1−52−1+5222−1+i3−1−i322−1+i3−1−i30022−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1−52−1+52−1+52−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i320000000022−1+i3−1−i300−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ580000000000000
χ2222−1−52−1+52−1−52−1+52−1−i3−1+i322−1−i3−1+i3220022−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3200000000−1−i3−1+i32200−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+520000000000000
χ2322−1−52−1+52−1−52−1+52−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30022−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1−52−1+52−1+52−1+i322−1−i3−1+i322−1−i3200000000−1−i3−1+i3−1−i3−1+i300−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ380000000000000
χ2422−1−52−1+52−1−52−1+52−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i30022−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1−52−1+52−1+522−1−i3−1+i322−1−i3−1+i32200000000−1−i3−1+i3−1+i3−1−i300−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1+52−1−52−1+52−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ580000000000000
χ2522−1−52−1+52−1−52−1+52−1+i3−1−i322−1+i3−1−i3220022−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3200000000−1+i3−1−i32200−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+520000000000000
χ2622−1−52−1+52−1−52−1+52−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i30022−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−1−52−1−52−1+52−1+522−1+i3−1−i322−1+i3−1−i32200000000−1+i3−1−i3−1−i3−1+i300−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ380000000000000
χ2722−1−52−1+52−1−52−1+52−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30022−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1−52−1+52−1+52−1−i322−1+i3−1−i322−1+i3200000000−1+i3−1−i3−1+i3−1−i300−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−1−52−1+52−1−52−1+52−ζ14−ζ26−ζ2−ζ38−1−52−1+52−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ580000000000000
χ2822−1+52−1−52−1+52−1−52222222220022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222200000000222200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000
χ2922−1+52−1−52−1+52−1−5222−1−i3−1+i322−1−i3−1+i30022−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1+52−1−52−1−52−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i320000000022−1−i3−1+i300−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ260000000000000
χ3022−1+52−1−52−1+52−1−5222−1+i3−1−i322−1+i3−1−i30022−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1+52−1−52−1−52−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i320000000022−1+i3−1−i300−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ460000000000000
χ3122−1+52−1−52−1+52−1−52−1−i3−1+i322−1−i3−1+i3220022−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3200000000−1−i3−1+i32200−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−520000000000000
χ3222−1+52−1−52−1+52−1−52−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30022−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1+52−1−52−1−52−1+i322−1−i3−1+i322−1−i3200000000−1−i3−1+i3−1−i3−1+i300−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ260000000000000
χ3322−1+52−1−52−1+52−1−52−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i30022−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1+52−1−52−1−522−1−i3−1+i322−1−i3−1+i32200000000−1−i3−1+i3−1+i3−1−i300−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ460000000000000
χ3422−1+52−1−52−1+52−1−52−1+i3−1−i322−1+i3−1−i3220022−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3200000000−1+i3−1−i32200−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−520000000000000
χ3522−1+52−1−52−1+52−1−52−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i30022−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1+52−1−52−1−522−1+i3−1−i322−1+i3−1−i32200000000−1+i3−1−i3−1−i3−1+i300−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ260000000000000
χ3622−1+52−1−52−1+52−1−52−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30022−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1+52−1−52−1−52−1−i322−1+i3−1−i322−1+i3200000000−1+i3−1−i3−1+i3−1−i300−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ460000000000000
χ3733333300330033333-100003333000033333-13-100000000-10000333300-1-13-10000000000000000-1-10000-1-1-1-100000000-100-1-1
χ3833333300330033-3-33-100003333000033333-13-100000000-10000-3-3-3-300-1-1-310000000000000000-1-10000-1-1-1-10000000010011
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χ4433333333003300-3-3-133333000033330000-13-1300000000-1-3-3-3-30000-1-1001-30000000000000000-1-1-1-1-1-100000000000011100
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χ494-444-4-4-2-2-2-222224i−4i00-2-2-2-2-2-2-2-22222222200001111-1-1-1-102i−2i2i−2i2i−2i2i−2i00000011111111-1-1-1-1-1-1-1-10000000000i−ii−ii−ii−i00000
χ504-444-4-4-2-2-2-22222−4i4i00-2-2-2-2-2-2-2-22222222200001111-1-1-1-10−2i2i−2i2i−2i2i−2i2i00000011111111-1-1-1-1-1-1-1-10000000000−ii−ii−ii−ii00000
χ514-444-4-4-2-21+i31−i322−1−i3−1+i34i−4i00-2-2-2-21+i31+i31−i31−i32222−1−i3−1−i3−1+i3−1+i30000−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3202i−2i2i−2i−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ59000000−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i320000000000−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ5900000
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χ544-444-4-4-2-21−i31+i322−1+i3−1−i3−4i4i00-2-2-2-21−i31−i31+i31+i32222−1+i3−1+i3−1−i3−1−i30000−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i320−2i2i−2i2i2ζ11+2ζ23+2ζ47+2ζ59−2ζ11−2ζ23−2ζ47−2ζ592ζ7+2ζ19+2ζ31+2ζ43−2ζ7−2ζ19−2ζ31−2ζ43000000−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i320000000000ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ11−ζ23−ζ47−ζ59ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ7−ζ19−ζ31−ζ4300000
χ554-444-4-41+i31−i3-2-2−1−i3−1+i3224i−4i001+i31+i31−i31−i3-2-2-2-2−1−i3−1−i3−1+i3−1+i322220000−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i320−2ζ7−2ζ19−2ζ31−2ζ432ζ7+2ζ19+2ζ31+2ζ43−2ζ11−2ζ23−2ζ47−2ζ592ζ11+2ζ23+2ζ47+2ζ592i−2i2i−2i000000−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i320000000000−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ59−ζ7−ζ19−ζ31−ζ43ζ7+ζ19+ζ31+ζ43−ζ11−ζ23−ζ47−ζ59ζ11+ζ23+ζ47+ζ5900000
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χ888-8−2+25−2−252−252+25-4-4-4-4444400001−51+51−51+51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−500002222-2-2-2-2000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000000
χ898-8−2+25−2−252−252+25-4-42+2i32−2i344−2−2i3−2+2i300001−51+51−51+52ζ22+2ζ582ζ34+2ζ462ζ2+2ζ382ζ14+2ζ26−1+5−1−5−1+5−1−5−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ260000−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3000000000000000−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ2600000000000000000000000
χ908-8−2+25−2−252−252+25-4-42−2i32+2i344−2+2i3−2−2i300001−51+51−51+52ζ2+2ζ382ζ14+2ζ262ζ22+2ζ582ζ34+2ζ46−1+5−1−5−1+5−1−5−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ460000−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3000000000000000−ζ2−ζ38−ζ14−ζ26−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ22+ζ58ζ34+ζ4600000000000000000000000
χ918-8−2+25−2−252−252+252+2i32−2i3-4-4−2−2i3−2+2i34400002ζ22+2ζ582ζ34+2ζ462ζ2+2ζ382ζ14+2ζ261−51+51−51+5−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ26−1+5−1−5−1+5−1−50000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000000000000000−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ2600000000000000000000000
χ928-8−2+25−2−252−252+252+2i32−2i32+2i32−2i3−2−2i3−2+2i3−2−2i3−2+2i300002ζ22+2ζ582ζ34+2ζ462ζ2+2ζ382ζ14+2ζ262ζ22+2ζ582ζ34+2ζ462ζ2+2ζ382ζ14+2ζ26−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ260000−1+i322−1−i31−i3-2-21+i3000000000000000−ζ2−ζ38−ζ14−ζ26−1+52−1−52−1+52−1−52−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ261−521+521−521+52ζ22+ζ58ζ34+ζ4600000000000000000000000
χ938-8−2+25−2−252−252+252+2i32−2i32−2i32+2i3−2−2i3−2+2i3−2+2i3−2−2i300002ζ22+2ζ582ζ34+2ζ462ζ2+2ζ382ζ14+2ζ262ζ2+2ζ382ζ14+2ζ262ζ22+2ζ582ζ34+2ζ46−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ26−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ4600002−1−i3−1+i32-21+i31−i3-2000000000000000−1+52−1−52−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−1+52−1−521−521+52ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ261−521+5200000000000000000000000
χ948-8−2+25−2−252−252+252−2i32+2i3-4-4−2+2i3−2−2i34400002ζ2+2ζ382ζ14+2ζ262ζ22+2ζ582ζ34+2ζ461−51+51−51+5−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ46−1+5−1−5−1+5−1−50000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000000000000000−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ46ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ4600000000000000000000000
χ958-8−2+25−2−252−252+252−2i32+2i32+2i32−2i3−2+2i3−2−2i3−2−2i3−2+2i300002ζ2+2ζ382ζ14+2ζ262ζ22+2ζ582ζ34+2ζ462ζ22+2ζ582ζ34+2ζ462ζ2+2ζ382ζ14+2ζ26−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ46−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ2600002−1+i3−1−i32-21−i31+i3-2000000000000000−1+52−1−52−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−1+52−1−521−521+52ζ2+ζ38ζ14+ζ26ζ22+ζ58ζ34+ζ461−521+5200000000000000000000000
χ968-8−2+25−2−252−252+252−2i32+2i32−2i32+2i3−2+2i3−2−2i3−2+2i3−2−2i300002ζ2+2ζ382ζ14+2ζ262ζ22+2ζ582ζ34+2ζ462ζ2+2ζ382ζ14+2ζ262ζ22+2ζ582ζ34+2ζ46−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ46−2ζ2−2ζ38−2ζ14−2ζ26−2ζ22−2ζ58−2ζ34−2ζ460000−1−i322−1+i31+i3-2-21−i3000000000000000−ζ22−ζ58−ζ34−ζ46−1+52−1−52−1+52−1−52−ζ2−ζ38−ζ14−ζ26ζ22+ζ58ζ34+ζ461−521+521−521+52ζ2+ζ38ζ14+ζ2600000000000000000000000
χ979999990000000099-3-30000000000000000-3-3-3-3000000001000000000000-3-3000000000000000011000000000000000010000
χ9899999900000000-9-9-3-30000000000000000-3-3-3-3000000001000000000000330000000000000000110000000000000000-10000
χ991818−9−952−9+952−9−952−9+9520000000000-6-600000000000000003+3523+3523−3523−352000000002000000000000000000000000000000−1−52−1+52000000000000000000000
χ1001818−9+952−9−952−9+952−9−9520000000000-6-600000000000000003−3523−3523+3523+352000000002000000000000000000000000000000−1+52−1−52000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.