Finite Group Databasebeta

← Group #72220077

Character table — Group #72220077

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222223333444444444444666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121236363636363636363636363636363636363636363636363636363636363636363636108108108108108108
order12222336666663366366666666666336666666666669991818181818181818184466669991212121218181818181818181818181818181818181818181818181818181824666666661212121212121212121212123636363636363636363636364412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111−1−i32−1+i32−1−i32−1+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+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i321111111−1−i32−1−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−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−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+i32
χ61111111111111−1−i32−1+i32−1−i32−1+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+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i321+i321+i321−i321−i32-1-11+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ71111111111111−1−i32−1+i32−1−i32−1+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+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-111−1−i32−1−i32−1+i32−1+i321111111−1−i32−1−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−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ81111111111111−1−i32−1+i32−1−i32−1+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+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32-1-1-1-111−1−i32−1−i32−1+i32−1+i321111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i321+i321+i321−i321−i32-1-11+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ91111111111111−1+i32−1−i32−1+i32−1−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−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i321111111−1+i32−1+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+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+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−i32
χ101111111111111−1+i32−1−i32−1+i32−1−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−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i321−i321−i321+i321+i32-1-11−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ111111111111111−1+i32−1−i32−1+i32−1−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−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-111−1+i32−1+i32−1−i32−1−i321111111−1+i32−1+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+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ121111111111111−1+i32−1−i32−1+i32−1−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−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32-1-1-1-111−1+i32−1+i32−1−i32−1−i321111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i321−i321−i321+i321+i32-1-11−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ13111-1-111111-1-11111111-1-1-1111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1i−i-1-1-1-1111ii−i−i1-11-11-1111-1-1-1-1111-1-1-1-1111-1-1-1-11-111111111-1-1-1-1i−ii−i-1-1-1-1ii−i−iii−i−iii−i−ii−ii−ii−i
χ14111-1-111111-1-11111111-1-1-1111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1i−i-1-1-1-1111ii−i−i1-11-11-1111-1-1-1-1111-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-11111i−ii−i1111ii−i−iii−i−iii−i−i−ii−ii−ii
χ15111-1-111111-1-11111111-1-1-1111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1−ii-1-1-1-1111−i−iii1-11-11-1111-1-1-1-1111-1-1-1-1111-1-1-1-11-111111111-1-1-1-1−ii−ii-1-1-1-1−i−iii−i−iii−i−iii−ii−ii−ii
χ16111-1-111111-1-11111111-1-1-1111-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1−ii-1-1-1-1111−i−iii1-11-11-1111-1-1-1-1111-1-1-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-11111−ii−ii1111−i−iii−i−iii−i−iiii−ii−ii−i
χ17111-1-111111-1-11−1−i32−1+i32−1−i32−1+i3211-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32i−i1+i321+i321−i321−i321−1−i32−1+i32ii−i−i1-1−1−i321+i32−1+i321−i32111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32ζ11−ζ11ζ7−ζ71+i321+i321−i321−i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7i−iζ11−ζ11ζ7−ζ7
χ18111-1-111111-1-11−1−i32−1+i32−1−i32−1+i3211-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32i−i1+i321+i321−i321−i321−1−i32−1+i32ii−i−i1-1−1−i321+i32−1+i321−i32111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-11-1-11+i321−i321+i321+i321−i321−i3211−1−i32−1+i32ζ11−ζ11ζ7−ζ7−1−i32−1−i32−1+i32−1+i32ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7−ii−ζ11ζ11−ζ7ζ7
χ19111-1-111111-1-11−1−i32−1+i32−1−i32−1+i3211-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−ii1+i321+i321−i321−i321−1−i32−1+i32−i−iii1-1−1−i321+i32−1+i321−i32111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32−ζ11ζ11−ζ7ζ71+i321+i321−i321−i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ii−ζ11ζ11−ζ7ζ7
χ20111-1-111111-1-11−1−i32−1+i32−1−i32−1+i3211-1-1-1111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−ii1+i321+i321−i321−i321−1−i32−1+i32−i−iii1-1−1−i321+i32−1+i321−i32111-1-1-1-1−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-11-1-11+i321−i321+i321+i321−i321−i3211−1−i32−1+i32−ζ11ζ11−ζ7ζ7−1−i32−1−i32−1+i32−1+i32−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7i−iζ11−ζ11ζ7−ζ7
χ21111-1-111111-1-11−1+i32−1−i32−1+i32−1−i3211-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32i−i1−i321−i321+i321+i321−1+i32−1−i32ii−i−i1-1−1+i321−i32−1−i321+i32111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32ζ7−ζ7ζ11−ζ111−i321−i321+i321+i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11i−iζ7−ζ7ζ11−ζ11
χ22111-1-111111-1-11−1+i32−1−i32−1+i32−1−i3211-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32i−i1−i321−i321+i321+i321−1+i32−1−i32ii−i−i1-1−1+i321−i32−1−i321+i32111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-11-1-11−i321+i321−i321−i321+i321+i3211−1+i32−1−i32ζ7−ζ7ζ11−ζ11−1+i32−1+i32−1−i32−1−i32ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11−ii−ζ7ζ7−ζ11ζ11
χ23111-1-111111-1-11−1+i32−1−i32−1+i32−1−i3211-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−ii1−i321−i321+i321+i321−1+i32−1−i32−i−iii1-1−1+i321−i32−1−i321+i32111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32−ζ7ζ7−ζ11ζ111−i321−i321+i321+i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ii−ζ7ζ7−ζ11ζ11
χ24111-1-111111-1-11−1+i32−1−i32−1+i32−1−i3211-1-1-1111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−ii1−i321−i321+i321+i321−1+i32−1−i32−i−iii1-1−1+i321−i32−1−i321+i32111-1-1-1-1−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-11-1-11−i321+i321−i321−i321+i321+i3211−1+i32−1−i32−ζ7ζ7−ζ11ζ11−1+i32−1+i32−1−i32−1−i32−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11i−iζ7−ζ7ζ11−ζ11
χ252222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-1-1-1-1-1000000
χ262222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111111111000000
χ272222222222222−1−i3−1+i3−1−i3−1+i3222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3222−1−i3−1−i3−1+i3−1+i3-11+i321−i322222-1-11+i321+i321−i321−i32-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i3200000000000000−1−i3−1−i3−1+i3−1+i30000-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000
χ282222222222222−1−i3−1+i3−1−i3−1+i3222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-2-2−1−i3−1−i3−1+i3−1+i3-11+i321−i32-2-2-2-2-1-11+i321+i321−i321−i32-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32000000000000001+i31+i31−i31−i300001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000
χ292222222222222−1+i3−1−i3−1+i3−1−i3222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3222−1+i3−1+i3−1−i3−1−i3-11−i321+i322222-1-11−i321−i321+i321+i32-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i3200000000000000−1+i3−1+i3−1−i3−1−i30000-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000
χ302222222222222−1+i3−1−i3−1+i3−1−i3222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-2-2−1+i3−1+i3−1−i3−1−i3-11−i321+i32-2-2-2-2-1-11−i321−i321+i321+i32-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32000000000000001−i31−i31+i31+i300001111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000
χ31222222-12-1-122-12222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-12222222222222200-1-1-1-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1220000-1-1-1-1000000000000000000
χ32222222-12-1-122-12222-122-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-12222222222222200-1-1-1-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111-2-200001111000000000000000000
χ33222222-12-1-122-1−1−i3−1+i3−1−i3−1+i3-122-1-1-1-1-1-1-1-1-11+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3001+i321+i321−i321−i32-11+i321−i32000022−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i3222-1-1−1−i3−1+i31+i321+i321−i321−i32-1-1−1−i3−1+i300001+i321+i321−i321−i32000000000000000000
χ34222222-12-1-122-1−1−i3−1+i3−1−i3−1+i3-122-1-1-1-1-1-1-1-1-11+i321−i32−1−i3−1+i31+i321+i321−i321−i32−1−i3−1+i31+i321−i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3001+i321+i321−i321−i32-11+i321−i32000022−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i32-2-2111+i31−i3−1−i32−1−i32−1+i32−1+i32111+i31−i30000−1−i32−1−i32−1+i32−1+i32000000000000000000
χ35222222-12-1-122-1−1+i3−1−i3−1+i3−1−i3-122-1-1-1-1-1-1-1-1-11−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3001−i321−i321+i321+i32-11−i321+i32000022−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i3222-1-1−1+i3−1−i31−i321−i321+i321+i32-1-1−1+i3−1−i300001−i321−i321+i321+i32000000000000000000
χ36222222-12-1-122-1−1+i3−1−i3−1+i3−1−i3-122-1-1-1-1-1-1-1-1-11−i321+i32−1+i3−1−i31−i321−i321+i321+i32−1+i3−1−i31−i321+i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3001−i321−i321+i321+i32-11−i321+i32000022−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i32-2-2111−i31+i3−1+i32−1+i32−1−i32−1−i32111−i31+i30000−1+i32−1+i32−1−i32−1−i32000000000000000000
χ37222-2-222222-2-22222222-2-2-2222-2-2-2-222222222-2-222-2-2-1-1-1-1-1-11111112i−2i-2-2-2-2-1-1-12i2i−2i−2i-11-11-11-1-1-11111-1-1-11111-1-1-11111000000000000002i−2i2i−2i0000−i−iii−i−iii−i−iii000000
χ38222-2-222222-2-22222222-2-2-2222-2-2-2-222222222-2-222-2-2-1-1-1-1-1-1111111−2i2i-2-2-2-2-1-1-1−2i−2i2i2i-11-11-11-1-1-11111-1-1-11111-1-1-1111100000000000000−2i2i−2i2i0000ii−i−iii−i−iii−i−i000000
χ39222-2-222222-2-22−1−i3−1+i3−1−i3−1+i322-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i3−1−i3−1+i31+i31−i3-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i322i−2i1+i31+i31−i31−i3-11+i321−i322i2i−2i−2i-111+i32−1−i321−i32−1+i32-1-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000002ζ11−2ζ112ζ7−2ζ70000−i−iii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7000000
χ40222-2-222222-2-22−1−i3−1+i3−1−i3−1+i322-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i3−1−i3−1+i31+i31−i3-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32−2i2i1+i31+i31−i31−i3-11+i321−i32−2i−2i2i2i-111+i32−1−i321−i32−1+i32-1-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000000000−2ζ112ζ11−2ζ72ζ70000ii−i−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7000000
χ41222-2-222222-2-22−1+i3−1−i3−1+i3−1−i322-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i3−1+i3−1−i31−i31+i3-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i322i−2i1−i31−i31+i31+i3-11−i321+i322i2i−2i−2i-111−i32−1+i321+i32−1−i32-1-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000002ζ7−2ζ72ζ11−2ζ110000−i−iii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11000000
χ42222-2-222222-2-22−1+i3−1−i3−1+i3−1−i322-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i3−1+i3−1−i31−i31+i3-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32−2i2i1−i31−i31+i31+i3-11−i321+i32−2i−2i2i2i-111−i32−1+i321+i32−1−i32-1-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000000000−2ζ72ζ7−2ζ112ζ110000ii−i−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11000000
χ43222-2-22-12-1-1-2-2-12222-12-211-1-1-11111-1-122-1-1-1-1-2-2-1-1-2-2222222-2-2-2-2-2-2001111-1-1-100002-22-22-2-1-1-11111-1-1-11111-1-1-111112-2-1-122-1-1-1-111-2-200001111000000000000000000
χ44222-2-22-12-1-1-2-2-12222-12-211-1-1-11111-1-122-1-1-1-1-2-2-1-1-2-2222222-2-2-2-2-2-2001111-1-1-100002-22-22-2-1-1-11111-1-1-11111-1-1-11111-2211-2-21111-1-1220000-1-1-1-1000000000000000000
χ45222-2-22-12-1-1-2-2-1−1−i3−1+i3−1−i3−1+i3-12-211-1-1-111111+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i31−i31+i321−i321+i31−i32−1−i3−1+i32−1−i3−1+i3-2-21+i31+i31−i31−i300−1−i32−1−i32−1+i32−1+i32-11+i321−i3200002-2−1−i31+i3−1+i31−i3-1-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i322-2-1-1−1−i3−1+i31+i321+i321−i321−i32111+i31−i30000−1−i32−1−i32−1+i32−1+i32000000000000000000
χ46222-2-22-12-1-1-2-2-1−1−i3−1+i3−1−i3−1+i3-12-211-1-1-111111+i321−i32−1−i3−1+i31+i321+i321−i321−i321+i31−i31+i321−i321+i31−i32−1−i3−1+i32−1−i3−1+i3-2-21+i31+i31−i31−i300−1−i32−1−i32−1+i32−1+i32-11+i321−i3200002-2−1−i31+i3−1+i31−i3-1-1-111111+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-22111+i31−i3−1−i32−1−i32−1+i32−1+i32-1-1−1−i3−1+i300001+i321+i321−i321−i32000000000000000000
χ47222-2-22-12-1-1-2-2-1−1+i3−1−i3−1+i3−1−i3-12-211-1-1-111111−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i31+i31−i321+i321−i31+i32−1+i3−1−i32−1+i3−1−i3-2-21−i31−i31+i31+i300−1+i32−1+i32−1−i32−1−i32-11−i321+i3200002-2−1+i31−i3−1−i31+i3-1-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i322-2-1-1−1+i3−1−i31−i321−i321+i321+i32111−i31+i30000−1+i32−1+i32−1−i32−1−i32000000000000000000
χ48222-2-22-12-1-1-2-2-1−1+i3−1−i3−1+i3−1−i3-12-211-1-1-111111−i321+i32−1+i3−1−i31−i321−i321+i321+i321−i31+i31−i321+i321−i31+i32−1+i3−1−i32−1+i3−1−i3-2-21−i31−i31+i31+i300−1+i32−1+i32−1−i32−1−i32-11−i321+i3200002-2−1+i31−i3−1−i31+i3-1-1-111111−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-22111−i31+i3−1+i32−1+i32−1−i32−1−i32-1-1−1+i3−1−i300001−i321−i321+i321+i32000000000000000000
χ4922-22-2222-2-222222222-2-22-22-2-222-2-222-2-2-2-2-2-22222-2-2222222222222002-22-22220000-2-2-2-2-2-22-2-222-2-22-2-222-2-22-2-222-2-20000000000000000000000000000000000000000
χ5022-22-2222-2-222222222-2-22-22-2-222-2-222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1002-22-2-1-1-10000111111-111-1-111-111-1-111-111-1-1110000000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000
χ5122-22-2222-2-222222222-2-22-22-2-222-2-222-2-2-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1002-22-2-1-1-10000111111-111-1-111-111-1-111-111-1-1110000000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000
χ5222-22-2222-2-2222−1−i3−1+i3−1−i3−1+i32-2-22-22-2-222-2-2−1−i3−1+i31+i31−i31+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i32−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i300−1−i31+i3−1+i31−i32−1−i3−1+i30000-2-21+i31+i31−i31−i32-2-222-2-2−1−i31+i31+i3−1−i3−1−i31+i31+i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000000000000000000000000000000000000000
χ5322-22-2222-2-2222−1−i3−1+i3−1−i3−1+i32-2-22-22-2-222-2-2−1−i3−1+i31+i31−i31+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3200−1−i31+i3−1+i31−i3-11+i321−i32000011−1−i32−1−i32−1+i32−1+i32-111-1-1111+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000000000−i3i3−i3i3−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i32000000
χ5422-22-2222-2-2222−1−i3−1+i3−1−i3−1+i32-2-22-22-2-222-2-2−1−i3−1+i31+i31−i31+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3200−1−i31+i3−1+i31−i3-11+i321−i32000011−1−i32−1−i32−1+i32−1+i32-111-1-1111+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000000000000000i3−i3i3−i33−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i32000000
χ5522-22-2222-2-2222−1+i3−1−i3−1+i3−1−i32-2-22-22-2-222-2-2−1+i3−1−i31−i31+i31−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i32−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i300−1+i31−i3−1−i31+i32−1+i3−1−i30000-2-21−i31−i31+i31+i32-2-222-2-2−1+i31−i31−i3−1+i3−1+i31−i31−i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000000000000000000000000000000000000000
χ5622-22-2222-2-2222−1+i3−1−i3−1+i3−1−i32-2-22-22-2-222-2-2−1+i3−1−i31−i31+i31−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3200−1+i31−i3−1−i31+i3-11−i321+i32000011−1+i32−1+i32−1−i32−1−i32-111-1-1111−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000000000−i3i3−i3i33+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i32000000
χ5722-22-2222-2-2222−1+i3−1−i3−1+i3−1−i32-2-22-22-2-222-2-2−1+i3−1−i31−i31+i31−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3200−1+i31−i3−1−i31+i3-11−i321+i32000011−1+i32−1+i32−1−i32−1−i32-111-1-1111−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000000000000000i3−i3i3−i3−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i32000000
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χ1261212121212-6-6-6-6-6-6-6-600003-6-6-6-633333330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ13012-12000-612600−6i36i3-120000-60000600−6i36i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13112-12000-6126006i3−6i3-120000-600006006i3−6i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13212-12000-6-66−6i36i3−6i36i36000030000-33i3−3i33i3−3i39-90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13312-12000-6-66−6i36i36i3−6i36000030000-33i3−3i3−3i33i3-990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13412-12000-6-666i3−6i3−6i36i36000030000-3−3i33i33i3−3i3-990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13512-12000-6-666i3−6i36i3−6i36000030000-3−3i33i3−3i33i39-90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.