Finite Group Databasebeta

← Group #72276904

Character table — Group #72276904

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121
size112222222444444444444666677771212121212121212121212121212121212121212121212121212121212121414141414141414141414141414282828282828282828282828282828282828282828282828565656565656565656565656565656565656565656565656
order122224444222222224444714141433661414141414141414141414141414141414142828282828282828282828286666661212121212121212666666666666666612121212121212124444888812121212121212122424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111−1−i32−1+i32−1−i32−1+i32111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ41111111111111111111111111−1−i32−1+i32−1−i32−1+i32111111111111111111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ51111111111111111111111111−1+i32−1−i32−1+i32−1−i32111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ61111111111111111111111111−1+i32−1−i32−1+i32−1−i32111111111111111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ71111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ81111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ91111111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i321111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-111-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ101111111111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i321111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-111-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ111111111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i321111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-111-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ121111111111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i321111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-111-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ13111111111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ14111111111-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ15111111111-1-1-1-111-1-111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−1−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+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ16111111111-1-1-1-111-1-111-1-11111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−1−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+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ17111111111-1-1-1-111-1-111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−1+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−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ18111111111-1-1-1-111-1-111-1-11111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−1+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−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ19111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ20111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ21111111111-1-1-1-1-1-111-1-1111111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1-1-111−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ22111111111-1-1-1-1-1-111-1-1111111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−1−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+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-11111-1-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ23111111111-1-1-1-1-1-111-1-1111111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−1+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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1-1-111−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ24111111111-1-1-1-1-1-111-1-1111111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−1+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−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-11111-1-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ25111-1-111-1-111-1-11-1111-1-1-111111111-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-11111-1-11-1111-1-1-11-1-1-1i−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−i
χ26111-1-111-1-111-1-11-1111-1-1-111111111-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-11111-1-11-1111-1-1-11-1-1-1−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii
χ27111-1-111-1-111-1-11-1111-1-1-11111−1−i32−1+i32−1−i32−1+i32-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1+i321−i321−i321−i32i−ii−ii−ii−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ28111-1-111-1-111-1-11-1111-1-1-11111−1−i32−1+i32−1−i32−1+i32-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1+i321−i321−i321−i32−ii−ii−ii−ii−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ29111-1-111-1-111-1-11-1111-1-1-11111−1+i32−1−i32−1+i32−1−i32-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1−i321+i321+i321+i32i−ii−ii−ii−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ30111-1-111-1-111-1-11-1111-1-1-11111−1+i32−1−i32−1+i32−1−i32-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1−i321+i321+i321+i32−ii−ii−ii−ii−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ31111-1-111-1-111-1-1-11-1-1-111111111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-11-1-111-1-1-11-1-1-1111-1111i−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii
χ32111-1-111-1-111-1-1-11-1-1-111111111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-11-1-111-1-1-11-1-1-1111-1111−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i
χ33111-1-111-1-111-1-1-11-1-1-11111111−1−i32−1+i32−1−i32−1+i32-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i32i−i−iii−i−iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ34111-1-111-1-111-1-1-11-1-1-11111111−1−i32−1+i32−1−i32−1+i32-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321+i32−1−i32−1−i32−1−i321−i32−1+i32−1+i32−1+i32−iii−i−iii−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ35111-1-111-1-111-1-1-11-1-1-11111111−1+i32−1−i32−1+i32−1−i32-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i32i−i−iii−i−iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ36111-1-111-1-111-1-1-11-1-1-11111111−1+i32−1−i32−1+i32−1−i32-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321−i32−1+i32−1+i32−1+i321+i32−1−i32−1−i32−1−i32−iii−i−iii−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ37111-1-111-1-1-1-1111-1-1-11-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-11-1111-111i−ii−i−ii−iii−ii−ii−ii−i−ii−ii−ii−ii
χ38111-1-111-1-1-1-1111-1-1-11-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111-1-1-11-1111-111−ii−iii−ii−i−ii−ii−ii−iii−ii−ii−ii−i
χ39111-1-111-1-1-1-1111-1-1-11-1111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i32−1+i32i−ii−i−ii−iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ40111-1-111-1-1-1-1111-1-1-11-1111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1−i321+i32−1−i32−1−i32−1+i321−i32−1+i32−1+i32−ii−iii−ii−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ41111-1-111-1-1-1-1111-1-1-11-1111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i32−1−i32i−ii−i−ii−iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ42111-1-111-1-1-1-1111-1-1-11-1111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1+i321−i32−1+i32−1+i32−1−i321+i32−1−i32−1−i32−ii−iii−ii−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ43111-1-111-1-1-1-111-1111-11-1-111111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-1111-11-1-1-11-1-1i−i−ii−iii−ii−i−iii−i−ii−iii−i−iii−i
χ44111-1-111-1-1-1-111-1111-11-1-111111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-1111-11-1-1-11-1-1−iii−ii−i−ii−iii−i−iii−ii−i−iii−i−ii
χ45111-1-111-1-1-1-111-1111-11-1-11111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321+i32−1−i321+i321+i321−i32−1+i321−i321−i32i−i−ii−iii−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
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χ11166-6-666-6-66000000-66006-6-111-100001-1−i7i7i7−i7i7−i7−i7i7i7−i7−i7i711-1-1-111-1i7−i7−i7i7-1-11100000000000000000000000000000000000000000000000000000000000000
χ11266-6-666-6-66000000-66006-6-111-100001-1i7−i7−i7i7−i7i7i7−i7−i7i7i7−i711-1-1-111-1−i7i7i7−i7-1-11100000000000000000000000000000000000000000000000000000000000000
χ11366-6-66-666-66-6-6600000000-111-100001-1-1-11111-1-1−i7i7−i7i7−i7i7i7−i71-1-11i7−i7i7−i7i7−i7−i7i700000000000000000000000000000000000000000000000000000000000000
χ11466-6-66-666-66-6-6600000000-111-100001-1-1-11111-1-1i7−i7i7−i7i7−i7−i7i71-1-11−i7i7−i7i7−i7i7i7−i700000000000000000000000000000000000000000000000000000000000000
χ11566-6-66-666-6-666-600000000-111-100001-111-1-1-1-111−i7i7−i7i7i7−i7−i7i71-1-11i7−i7i7−i7−i7i7i7−i700000000000000000000000000000000000000000000000000000000000000
χ11666-6-66-666-6-666-600000000-111-100001-111-1-1-1-111i7−i7i7−i7−i7i7i7−i71-1-11−i7i7−i7i7i7−i7−i7i700000000000000000000000000000000000000000000000000000000000000
χ1178-80000000000000000000800-888-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-80000000000000000000800-8−4−4i3−4+4i34+4i34−4i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-80000000000000000000800-8−4+4i3−4−4i34−4i34+4i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12024-240000000000000000000-4−4i74i74000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12124-240000000000000000000-44i7−4i74000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.