Finite Group Databasebeta

← Group #13180061

Character table — Group #13180061

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1113333339991212121212121212121212121212121248484848111333333999121212121212121212121212121212124848484811133333399912121212121212121212121212121212484848481113333339991212121212121212121212121212121248484848
order13322666626633666666991818181818189999266226666266666666661818181818181818181818182662266662666666666618181818181818181818181826622666626666666666181818181818181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ311111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ4111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32
χ5111111111111−1+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+i32111111111111−1+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+i32111111111111−1+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+i32111111111111−1+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
χ6111111111111−1+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+i321−1+i32−1−i321111111111111−1+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+i321−1+i32−1−i321111111111111−1+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+i321−1+i32−1−i321111111111111−1+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+i321−1+i32−1−i321
χ7111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32
χ8111111111111−1−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−i321−1−i32−1+i321111111111111−1−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−i321−1−i32−1+i321111111111111−1−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−i321−1−i32−1+i321111111111111−1−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−i321−1−i32−1+i321
χ9111111111111−1−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−i32111111111111−1−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−i32111111111111−1−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−i32111111111111−1−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
χ103333-133-1-1-1-1-10000000033-1-1-1-1-1-100003333-133-1-1-1-1-10000000033-1-1-1-1-1-100003333-133-1-1-1-1-10000000033-1-1-1-1-1-100003333-133-1-1-1-1-10000000033-1-1-1-1-1-10000
χ113333-133-1-1-1-1-100000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i3200003333-133-1-1-1-1-100000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i3200003333-133-1-1-1-1-100000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i3200003333-133-1-1-1-1-100000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000
χ123333-133-1-1-1-1-100000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i3200003333-133-1-1-1-1-100000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i3200003333-133-1-1-1-1-100000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i3200003333-133-1-1-1-1-100000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000
χ13333-13-1-133-1-1-133-1-1-1-1-1-1000000000000333-13-1-133-1-1-133-1-1-1-1-1-1000000000000333-13-1-133-1-1-133-1-1-1-1-1-1000000000000333-13-1-133-1-1-133-1-1-1-1-1-1000000000000
χ14333-13-1-133-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000000000333-13-1-133-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000000000333-13-1-133-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000000000333-13-1-133-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000000000
χ15333-13-1-133-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000000000333-13-1-133-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000000000333-13-1-133-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000000000333-13-1-133-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000000000
χ163−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000003−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000003−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000003−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000
χ173−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ2ζ42ζ72ζ22ζ52ζ800003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ2ζ42ζ72ζ22ζ52ζ800003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ2ζ42ζ72ζ22ζ52ζ800003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ2ζ42ζ72ζ22ζ52ζ80000
χ183−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ42ζ72ζ2ζ82ζ22ζ500003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ42ζ72ζ2ζ82ζ22ζ500003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ42ζ72ζ2ζ82ζ22ζ500003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ42ζ72ζ2ζ82ζ22ζ50000
χ193−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ72ζ2ζ42ζ52ζ82ζ200003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ72ζ2ζ42ζ52ζ82ζ200003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ72ζ2ζ42ζ52ζ82ζ200003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ72ζ2ζ42ζ52ζ82ζ20000
χ203−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i32−1+i3−1−i30000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i32−1+i3−1−i30000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i32−1+i3−1−i30000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i32−1+i3−1−i3000000000000
χ213−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1+i3−1−i32−1−i32−1+i30000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1+i3−1−i32−1−i32−1+i30000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1+i3−1−i32−1−i32−1+i30000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1+i3−1−i32−1−i32−1+i3000000000000
χ223−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1−i32−1+i3−1+i3−1−i320000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1−i32−1+i3−1+i3−1−i320000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1−i32−1+i3−1+i3−1−i320000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1−i32−1+i3−1+i3−1−i32000000000000
χ233−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000003−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000003−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000003−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000
χ243−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ22ζ82ζ52ζ42ζ2ζ700003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ22ζ82ζ52ζ42ζ2ζ700003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ22ζ82ζ52ζ42ζ2ζ700003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ22ζ82ζ52ζ42ζ2ζ70000
χ253−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ52ζ22ζ82ζ2ζ72ζ400003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ52ζ22ζ82ζ2ζ72ζ400003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ52ζ22ζ82ζ2ζ72ζ400003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ52ζ22ζ82ζ2ζ72ζ40000
χ263−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ82ζ52ζ22ζ72ζ42ζ00003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ82ζ52ζ22ζ72ζ42ζ00003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ82ζ52ζ22ζ72ζ42ζ00003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ82ζ52ζ22ζ72ζ42ζ0000
χ273−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i32−1−i3−1+i30000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i32−1−i3−1+i30000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i32−1−i3−1+i30000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i32−1−i3−1+i3000000000000
χ283−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1+i32−1−i3−1−i3−1+i320000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1+i32−1−i3−1−i3−1+i320000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1+i32−1−i3−1−i3−1+i320000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1+i32−1−i3−1−i3−1+i32000000000000
χ293−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1−i3−1+i32−1+i32−1−i30000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1−i3−1+i32−1+i32−1−i30000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1−i3−1+i32−1+i32−1−i30000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1−i3−1+i32−1+i32−1−i3000000000000
χ30999-3-3-3-3-3-311100000000000000000000999-3-3-3-3-3-311100000000000000000000999-3-3-3-3-3-311100000000000000000000999-3-3-3-3-3-311100000000000000000000
χ319−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i32000000000000000000009−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i32000000000000000000009−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i32000000000000000000009−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i3200000000000000000000
χ329−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i32000000000000000000009−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i32000000000000000000009−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i32000000000000000000009−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i3200000000000000000000
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3411111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i3211111111111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i32
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χ9911111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321+i321+i321−i321−i3211111111111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ100111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321+i321−i321+i32111111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32
χ101111111111111−1+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+i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321−i321+i321−i321−i321−i321+i321+i321+i321+i32-1-11−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321−i321+i321−i321−i321−i321+i321+i321+i321+i32-1-11−i32111111111111−1+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
χ102111111111111−1+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+i321−1+i32−1−i321-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321+i321−i321+i321+i321+i321−i321−i321−i32-11−i321+i32-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i321+i321−i321+i321+i321+i321−i321−i321−i32-11−i321+i32-1111111111111−1+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+i321−1+i32−1−i321
χ103111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321−i321+i321−i32111111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32
χ104111111111111−1−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−i321−1−i32−1+i321-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321−i321+i321−i321−i321−i321+i321+i321+i32-11+i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321−i321+i321−i321−i321−i321+i321+i321+i32-11+i321−i32-1111111111111−1−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−i321−1−i32−1+i321
χ105111111111111−1−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−i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321+i321−i321+i321+i321+i321−i321−i321−i321−i32-1-11+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i321+i321−i321+i321+i321+i321−i321−i321−i321−i32-1-11+i32111111111111−1−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
χ1063333-133-1-1-1-1-10000000033-1-1-1-1-1-10000-3-3-3-31-3-31111100000000-3-31111110000-3-3-3-31-3-31111100000000-3-311111100003333-133-1-1-1-1-10000000033-1-1-1-1-1-10000
χ1073333-133-1-1-1-1-100000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000-3-3-3-31-3-311111000000003−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i320000-3-3-3-31-3-311111000000003−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200003333-133-1-1-1-1-100000000−3+3i32−3−3i321−i321−i321−i321+i321+i321+i320000
χ1083333-133-1-1-1-1-100000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000-3-3-3-31-3-311111000000003+3i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000-3-3-3-31-3-311111000000003+3i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200003333-133-1-1-1-1-100000000−3−3i32−3+3i321+i321+i321+i321−i321−i321−i320000
χ109333-13-1-133-1-1-133-1-1-1-1-1-1000000000000-3-3-31-311-3-3111-3-3111111000000000000-3-3-31-311-3-3111-3-3111111000000000000333-13-1-133-1-1-133-1-1-1-1-1-1000000000000
χ110333-13-1-133-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000000000-3-3-31-311-3-31113−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000-3-3-31-311-3-31113−3i323+3i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000333-13-1-133-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000000000
χ111333-13-1-133-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000000000-3-3-31-311-3-31113+3i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000-3-3-31-311-3-31113+3i323−3i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000333-13-1-133-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000000000
χ1123−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000-33−3i323+3i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i3200000000000000000000-33−3i323+3i32-3-33−3i323+3i323−3i323+3i32-33−3i323+3i32000000000000000000003−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000
χ1133−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ2ζ42ζ72ζ22ζ52ζ80000-33−3i323+3i32-313−3i323+3i32−1+i32−1−i321−1+i32−1−i320000000000−2ζ−2ζ4−2ζ7−2ζ2−2ζ5−2ζ80000-33−3i323+3i32-313−3i323+3i32−1+i32−1−i321−1+i32−1−i320000000000−2ζ−2ζ4−2ζ7−2ζ2−2ζ5−2ζ800003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ2ζ42ζ72ζ22ζ52ζ80000
χ1143−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ42ζ72ζ2ζ82ζ22ζ50000-33−3i323+3i32-313−3i323+3i32−1+i32−1−i321−1+i32−1−i320000000000−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ50000-33−3i323+3i32-313−3i323+3i32−1+i32−1−i321−1+i32−1−i320000000000−2ζ4−2ζ7−2ζ−2ζ8−2ζ2−2ζ500003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ42ζ72ζ2ζ82ζ22ζ50000
χ1153−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ72ζ2ζ42ζ52ζ82ζ20000-33−3i323+3i32-313−3i323+3i32−1+i32−1−i321−1+i32−1−i320000000000−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ20000-33−3i323+3i32-313−3i323+3i32−1+i32−1−i321−1+i32−1−i320000000000−2ζ7−2ζ−2ζ4−2ζ5−2ζ8−2ζ200003−3+3i32−3−3i323-1−3+3i32−3−3i321−i321+i32-11−i321+i3200000000002ζ72ζ2ζ42ζ52ζ82ζ20000
χ1163−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i32−1+i3−1−i3000000000000-33−3i323+3i321-3−1+i32−1−i323−3i323+3i321−1+i32−1−i3200-21−i31+i3-21−i31+i3000000000000-33−3i323+3i321-3−1+i32−1−i323−3i323+3i321−1+i32−1−i3200-21−i31+i3-21−i31+i30000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i32002−1+i3−1−i32−1+i3−1−i3000000000000
χ1173−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1+i3−1−i32−1−i32−1+i3000000000000-33−3i323+3i321-3−1+i32−1−i323−3i323+3i321−1+i32−1−i32001−i31+i3-21+i3-21−i3000000000000-33−3i323+3i321-3−1+i32−1−i323−3i323+3i321−1+i32−1−i32001−i31+i3-21+i3-21−i30000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1+i3−1−i32−1−i32−1+i3000000000000
χ1183−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1−i32−1+i3−1+i3−1−i32000000000000-33−3i323+3i321-3−1+i32−1−i323−3i323+3i321−1+i32−1−i32001+i3-21−i31−i31+i3-2000000000000-33−3i323+3i321-3−1+i32−1−i323−3i323+3i321−1+i32−1−i32001+i3-21−i31−i31+i3-20000000000003−3+3i32−3−3i32-131−i321+i32−3+3i32−3−3i32-11−i321+i3200−1−i32−1+i3−1+i3−1−i32000000000000
χ1193−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000-33+3i323−3i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i3200000000000000000000-33+3i323−3i32-3-33+3i323−3i323+3i323−3i32-33+3i323−3i32000000000000000000003−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000
χ1203−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ22ζ82ζ52ζ42ζ2ζ70000-33+3i323−3i32-313+3i323−3i32−1−i32−1+i321−1−i32−1+i320000000000−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ70000-33+3i323−3i32-313+3i323−3i32−1−i32−1+i321−1−i32−1+i320000000000−2ζ2−2ζ8−2ζ5−2ζ4−2ζ−2ζ700003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ22ζ82ζ52ζ42ζ2ζ70000
χ1213−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ52ζ22ζ82ζ2ζ72ζ40000-33+3i323−3i32-313+3i323−3i32−1−i32−1+i321−1−i32−1+i320000000000−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ40000-33+3i323−3i32-313+3i323−3i32−1−i32−1+i321−1−i32−1+i320000000000−2ζ5−2ζ2−2ζ8−2ζ−2ζ7−2ζ400003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ52ζ22ζ82ζ2ζ72ζ40000
χ1223−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ82ζ52ζ22ζ72ζ42ζ0000-33+3i323−3i32-313+3i323−3i32−1−i32−1+i321−1−i32−1+i320000000000−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ0000-33+3i323−3i32-313+3i323−3i32−1−i32−1+i321−1−i32−1+i320000000000−2ζ8−2ζ5−2ζ2−2ζ7−2ζ4−2ζ00003−3−3i32−3+3i323-1−3−3i32−3+3i321+i321−i32-11+i321−i3200000000002ζ82ζ52ζ22ζ72ζ42ζ0000
χ1233−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i32−1−i3−1+i3000000000000-33+3i323−3i321-3−1−i32−1+i323+3i323−3i321−1−i32−1+i3200-21+i31−i3-21+i31−i3000000000000-33+3i323−3i321-3−1−i32−1+i323+3i323−3i321−1−i32−1+i3200-21+i31−i3-21+i31−i30000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i32002−1−i3−1+i32−1−i3−1+i3000000000000
χ1243−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1+i32−1−i3−1−i3−1+i32000000000000-33+3i323−3i321-3−1−i32−1+i323+3i323−3i321−1−i32−1+i32001−i3-21+i31+i31−i3-2000000000000-33+3i323−3i321-3−1−i32−1+i323+3i323−3i321−1−i32−1+i32001−i3-21+i31+i31−i3-20000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1+i32−1−i3−1−i3−1+i32000000000000
χ1253−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1−i3−1+i32−1+i32−1−i3000000000000-33+3i323−3i321-3−1−i32−1+i323+3i323−3i321−1−i32−1+i32001+i31−i3-21−i3-21+i3000000000000-33+3i323−3i321-3−1−i32−1+i323+3i323−3i321−1−i32−1+i32001+i31−i3-21−i3-21+i30000000000003−3−3i32−3+3i32-131+i321−i32−3−3i32−3+3i32-11+i321−i3200−1−i3−1+i32−1+i32−1−i3000000000000
χ126999-3-3-3-3-3-311100000000000000000000-9-9-9333333-1-1-100000000000000000000-9-9-9333333-1-1-100000000000000000000999-3-3-3-3-3-311100000000000000000000
χ1279−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i3200000000000000000000-99−9i329+9i3233−3+3i32−3−3i32−3+3i32−3−3i32-11−i321+i3200000000000000000000-99−9i329+9i3233−3+3i32−3−3i32−3+3i32−3−3i32-11−i321+i32000000000000000000009−9+9i32−9−9i32-3-33−3i323+3i323−3i323+3i321−1+i32−1−i3200000000000000000000
χ1289−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i3200000000000000000000-99+9i329−9i3233−3−3i32−3+3i32−3−3i32−3+3i32-11+i321−i3200000000000000000000-99+9i329−9i3233−3−3i32−3+3i32−3−3i32−3+3i32-11+i321−i32000000000000000000009−9−9i32−9+9i32-3-33+3i323−3i323+3i323−3i321−1−i32−1+i3200000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.