Finite Group Databasebeta

← Group #14514043

Character table — Group #14514043

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222244444444444444444444446666888888888888888888881010101012121212121212121212121212121212121216161616161616161616161616161616161616161616161616161616202040404040404040406060606080808080
order1222445510101010101023346666661010101020202020202020204444121212121515151530303030303030303030303044444420202020202020202020202020202020661212303030303030303060606060606060606060606060606060441212121212121212224412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111111−1−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−i32−1+i32−1+i32−1+i32−1+i321111111111111111111111−1−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−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+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32
χ4111111111111111−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111111111111111−1−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−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1111111111111111111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i32
χ5111111111111111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111111−1+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+i32−1−i32−1−i32−1−i32−1−i321111111111111111111111−1+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+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−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32
χ6111111111111111−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111111111111111−1+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+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1111111111111111111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i32
χ711111111111111-111-1111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111111-11-1-1-1-1-1
χ811111111111111-111-1111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11-111111
χ911111111111111-1−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-11111−1−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−i32−1+i32−1+i32−1+i32−1+i321111-1-11111-1-1-1-11111-1-1-1-11+i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11+i321−i321+i321−i32
χ1011111111111111-1−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-11111−1−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−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11+i321−i321+i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32111+i321+i321−i321−i321+i321+i321−i321−i32-11-11−1−i32−1+i32−1−i32−1+i32
χ1111111111111111-1−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-11111−1+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+i32−1−i32−1−i32−1−i32−1−i321111-1-11111-1-1-1-11111-1-1-1-11−i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11−i321+i321−i321+i32
χ1211111111111111-1−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-11111−1+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+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11−i321+i321−i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32111−i321−i321+i321+i321−i321−i321+i321+i32-11-11−1+i32−1−i32−1+i32−1−i32
χ131111-1-111111111111-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1111-1-1
χ141111-1-111111111111-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1111-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-111
χ151111-1-1111111111−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-111-1-11+i321+i321−i321−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+i32−1+i3211-1-11-1-1-1-1-1-1-1-1-111111111−1−i32−1+i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-111+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-11−1−i32−1+i321+i321−i32
χ161111-1-1111111111−1−i32−1+i32-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-1-1-1-1-111-1-11+i321+i321−i321−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+i32−1+i32-1-1111-1-1-1-1-1-1-1-1-111111111−1−i32−1+i321+i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-111-11+i321−i32−1−i32−1+i32
χ171111-1-1111111111−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-111-1-11−i321−i321+i321+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−i32−1−i3211-1-11-1-1-1-1-1-1-1-1-111111111−1+i32−1−i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-111−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-11−1+i32−1−i321−i321+i32
χ181111-1-1111111111−1+i32−1−i32-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-1-1-1-1-111-1-11−i321−i321+i321+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−i32−1−i32-1-1111-1-1-1-1-1-1-1-1-111111111−1+i32−1−i321−i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-111-11−i321+i32−1+i32−1−i32
χ191111-1-111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1111111-1-1-1-111
χ201111-1-111111111-1111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111-1-111-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-1-1-11111-1-1
χ211111-1-111111111-1−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1111111-1-11+i321+i321−i321−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+i32−1+i3211-1-1-11-1-1-1-111111111-1-1-1-11+i321−i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i32−1−i32−1+i32
χ221111-1-111111111-1−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1111111-1-11+i321+i321−i321−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+i32−1+i32-1-111-11-1-1-1-111111111-1-1-1-11+i321−i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-11−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-111−1−i32−1+i321+i321−i32
χ231111-1-111111111-1−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1111111-1-11−i321−i321+i321+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−i32−1−i3211-1-1-11-1-1-1-111111111-1-1-1-11−i321+i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321+i32−1+i32−1−i32
χ241111-1-111111111-1−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1111111-1-11−i321−i321+i321+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−i32−1−i32-1-111-11-1-1-1-111111111-1-1-1-11−i321+i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-11−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-111−1+i32−1−i321−i321+i32
χ25222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+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+52000022−1−52−1−52−1+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+522222−1−52−1−52−1+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+52000000000000000000
χ26222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−i3−1+i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−i3−1−i3−1+i3−1+i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38000022−1−52−1−52−1+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−i3−1+i3−1−i3−1+i3−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38000000000000000000
χ27222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1+i3−1−i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1+i3−1+i3−1−i3−1−i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58000022−1−52−1−52−1+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+i3−1−i3−1+i3−1−i3−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58000000000000000000
χ28222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-22222221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222222222−1−52−1+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+520000-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ29222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2−1−i3−1+i3-2−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522222−1−i3−1−i3−1+i3−1+i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ380000-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+i31−i31+i31−i3ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38000000000000000000
χ30222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2−1+i3−1−i3-2−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522222−1+i3−1+i3−1−i3−1−i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ580000-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521−i31+i31−i31+i3ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58000000000000000000
χ31222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+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+52−1−52−1−52000022−1+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+52−1−52−1−522222−1+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+52−1−52−1−52000000000000000000
χ32222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1−i3−1+i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1−i3−1−i3−1+i3−1+i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26000022−1+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−i3−1+i3−1−i3−1+i3−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26000000000000000000
χ33222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+i3−1−i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+i3−1+i3−1−i3−1−i3−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46000022−1+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+i3−1−i3−1+i3−1−i3−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46000000000000000000
χ34222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-22222221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222222222−1+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+52−1−52−1−520000-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ35222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2−1−i3−1+i3-2−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522222−1−i3−1−i3−1+i3−1+i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ260000-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521+i31−i31+i31−i3ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26000000000000000000
χ36222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2−1+i3−1−i3-2−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522222−1+i3−1+i3−1−i3−1−i3−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ460000-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−i31+i31−i31+i3ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46000000000000000000
χ372222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222-2222222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2-2-2-2-2−1−52−1+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+5200002-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ382222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−i3−1+i3-2−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-21+i31+i31−i31−i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ3800002-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−i3−1+i31+i31−i3−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38000000000000000000
χ392222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1+i3−1−i3-2−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-21−i31−i31+i31+i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ5800002-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+i3−1−i31−i31+i3−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58000000000000000000
χ402222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22222222221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-2-2-2-2-2−1−52−1+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+520000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2-2221+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ412222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2−1−i3−1+i32−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-21+i31+i31−i31−i3−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ380000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+i31−i3−1−i3−1+i3ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38000000000000000000
χ422222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2−1+i3−1−i32−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5222-2-21−i31−i31+i31+i3−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ2−ζ38−ζ34−ζ46−ζ22−ζ58−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ580000-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521−i31+i3−1+i3−1−i3ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38−ζ14−ζ26−ζ14−ζ26−ζ2−ζ38−ζ2−ζ38ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58−ζ34−ζ46−ζ34−ζ46−ζ22−ζ58−ζ22−ζ58000000000000000000
χ432222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222-2222222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-2-2-2-2-2−1+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+52−1−52−1−5200002-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ442222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1−i3−1+i3-2−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-21+i31+i31−i31−i3−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ34−ζ46−ζ2−ζ38−ζ14−ζ26−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ2600002-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−i3−1+i31+i31−i3−ζ22−ζ58−ζ22−ζ58−ζ34−ζ46−ζ34−ζ46−ζ2−ζ38−ζ2−ζ38−ζ14−ζ26−ζ14−ζ26ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ22+ζ58ζ22+ζ58ζ34+ζ46ζ34+ζ46ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26ζ2+ζ38ζ2+ζ38ζ14+ζ26ζ14+ζ26000000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.