Finite Group Databasebeta

← Group #72218646

Character table — Group #72218646

Order 6720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175
size11444464416161616245520202020305520202020305520202020302288881288323232324810104040404060101040404040601010404040406022888812883232323248101040404040601010404040406010104040404060228888128832323232481010404040406010104040404060101040404040607728282828422828112112112112168353514014014014021035351401401401402103535140140140140210
order123366451015153030202266664441212121244412121212471421214242283570105105210210140141442424242282828848484842828288484848428714212142422835701051052102101401414424242422828288484848428282884848484287142121424228357010510521021014014144242424228282884848484282828848484842822666641010303030302022666644412121212444121212124
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321
χ311−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321
χ42-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-11102-2-1-1110
χ52-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320
χ62-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320
χ7330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1330000-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ911−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1
χ1011−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1
χ112-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10
χ122-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i3202-21−i321+i32−1+i32−1−i320-22−1+i32−1−i321−i321+i320-22−1+i32−1−i321−i321+i320
χ132-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i320-22−1−i32−1+i321+i321−i320
χ14330000-1330000-1330000-1-3-300001-3-300001330000-1330000-1330000-1-3-300001-3-300001330000-1330000-1330000-1-3-300001-3-300001330000-1330000-1330000-1-3-300001-3-300001330000-1330000-1330000-1-3-300001-3-300001
χ1511111111111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i11111111111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i11111111111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i11111111111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i11111111111111-1-1-1-1-1-1-1iiiiiii−i−i−i−i−i−i−i
χ1611−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1iiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i
χ1711−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i11−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i11−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i11−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i11−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i321-1-11+i321−i321+i321−i32-1iiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i
χ182-2-1-11102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i02-2-1-11102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i02-2-1-11102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i02-2-1-11102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i02-2-1-11102-2-1-1110-2211-1-102i−2i−i−iii0−2i2iii−i−i0
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χ202-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ790−2i2iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ7902-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ790−2i2iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ7902-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ790−2i2iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ7902-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ790−2i2iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ7902-21+i321−i32−1−i32−1+i3202-21+i321−i32−1−i32−1+i320-22−1−i32−1+i321+i321−i3202i−2i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ790−2i2iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ790
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χ2311−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−iiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−iiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−iiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−iiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i11−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i321-1-11−i321+i321−i321+i32-1−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−iiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83i
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χ252-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii02-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii02-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii02-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii02-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii0
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χ462-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-102-2-1-11102-2-1-11102-2-1-1110-2211-1-10-2211-1-10-2211-1-10-2211-1-10-2211-1-102-2-1-11102-2-1-1110
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χ602-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii02-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii02-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii02-2-1-11102-2-1-1110-2211-1-10−2i2iii−i−i02i−2i−i−iii0-2211-1-10-2211-1-102-2-1-11102i−2i−i−iii0−2i2iii−i−i0
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χ1464-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i304-41+i31−i3−1−i3−1+i302ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62ζ50+ζ62ζ22+ζ34−ζ50−ζ62−ζ22−ζ3402ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62ζ50+ζ62ζ22+ζ34−ζ50−ζ62−ζ22−ζ3402ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62ζ50+ζ62ζ22+ζ34−ζ50−ζ62−ζ22−ζ3402ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62ζ50+ζ62ζ22+ζ34−ζ50−ζ62−ζ22−ζ3402ζ22+2ζ34+2ζ50+2ζ62−2ζ22−2ζ34−2ζ50−2ζ62ζ50+ζ62ζ22+ζ34−ζ50−ζ62−ζ22−ζ3402ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82ζ2+ζ26ζ58+ζ82−ζ2−ζ26−ζ58−ζ8202ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82ζ2+ζ26ζ58+ζ82−ζ2−ζ26−ζ58−ζ8202ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82ζ2+ζ26ζ58+ζ82−ζ2−ζ26−ζ58−ζ8202ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82ζ2+ζ26ζ58+ζ82−ζ2−ζ26−ζ58−ζ8202ζ2+2ζ26+2ζ58+2ζ82−2ζ2−2ζ26−2ζ58−2ζ82ζ2+ζ26ζ58+ζ82−ζ2−ζ26−ζ58−ζ8202ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74ζ38+ζ74ζ10+ζ46−ζ38−ζ74−ζ10−ζ4602ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74ζ38+ζ74ζ10+ζ46−ζ38−ζ74−ζ10−ζ4602ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74ζ38+ζ74ζ10+ζ46−ζ38−ζ74−ζ10−ζ4602ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74ζ38+ζ74ζ10+ζ46−ζ38−ζ74−ζ10−ζ4602ζ10+2ζ38+2ζ46+2ζ74−2ζ10−2ζ38−2ζ46−2ζ74ζ38+ζ74ζ10+ζ46−ζ38−ζ74−ζ10−ζ46000000000000000000000000000000000000
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χ15022−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i3222−1−i3−1+i3−1−i3−1+i32-2-21+i31−i31+i31−i3-2-2-21+i31−i31+i31−i3-2ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62ζ22+ζ34+ζ50+ζ62−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34ζ22+ζ34+ζ50+ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ50+ζ62ζ22+ζ34ζ50+ζ62ζ22+ζ34−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62−ζ22−ζ34−ζ50−ζ62ζ50+ζ62ζ22+ζ34ζ50+ζ62ζ22+ζ34−ζ22−ζ34−ζ50−ζ62ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26+ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26ζ58+ζ82ζ2+ζ26ζ58+ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82−ζ2−ζ26−ζ58−ζ82ζ2+ζ26ζ58+ζ82ζ2+ζ26ζ58+ζ82−ζ2−ζ26−ζ58−ζ82ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ38−ζ74−ζ10−ζ46−ζ38−ζ74−ζ10−ζ46ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ38−ζ74−ζ10−ζ46−ζ38−ζ74−ζ10−ζ46ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74ζ10+ζ38+ζ46+ζ74−ζ38−ζ74−ζ10−ζ46−ζ38−ζ74−ζ10−ζ46ζ10+ζ38+ζ46+ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ38+ζ74ζ10+ζ46ζ38+ζ74ζ10+ζ46−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74−ζ10−ζ38−ζ46−ζ74ζ38+ζ74ζ10+ζ46ζ38+ζ74ζ10+ζ46−ζ10−ζ38−ζ46−ζ7400000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.