Finite Group Databasebeta

← Group #72218434

Character table — Group #72218434

Order 6720.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175
size1677777424282828282853035353535355303535353535530353535353516777774242828282828530353535353553035353535355303535353535212141414141484856565656561060707070707010607070707070106070707070702121414141414848565656565610607070707070106070707070701060707070707021214141414148485656565656106070707070701060707070707010607070707070
order1723366535101515303021426666428412121212428412121212214266661070103030303021426666428412121212428412121212428412121212201402060606060428412121212428412121212428412121212428412121212201402060606060428412121212428412121212428412121212428412121212201402060606060428412121212428412121212428412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111−1+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−i32
χ3111−1−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+i32
χ411-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1
χ511-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32
χ611-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32
χ76-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-1000006-100000
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
χ9111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32
χ10111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32
χ1111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111
χ1211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32-1-111−i321+i32−1+i32−1−i32
χ1311-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32-1-111+i321−i32−1−i32−1+i32
χ146-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-61000006-1000006-1000006-100000-6100000-6100000
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
χ16111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32iiiζ7ζ11ζ7ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32iiiζ7ζ11ζ7ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32iiiζ7ζ11ζ7ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32iiiζ7ζ11ζ7ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32iiiζ7ζ11ζ7ζ11−i−i−i−ζ7−ζ11−ζ7−ζ11
χ17111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32iiiζ11ζ7ζ11ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32iiiζ11ζ7ζ11ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32iiiζ11ζ7ζ11ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32iiiζ11ζ7ζ11ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32iiiζ11ζ7ζ11ζ7−i−i−i−ζ11−ζ7−ζ11−ζ7
χ1811-111-1-111-111-1-1-1-11-1-111ii−iii−i−i−i−ii−i−iii11-111-1-111-111-1-1-1-11-1-111ii−iii−i−i−i−ii−i−iii11-111-1-111-111-1-1-1-11-1-111ii−iii−i−i−i−ii−i−iii11-111-1-111-111-1-1-1-11-1-111ii−iii−i−i−i−ii−i−iii11-111-1-111-111-1-1-1-11-1-111ii−iii−i−i−i−ii−i−iii
χ1911-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32ii−iζ7ζ11−ζ7−ζ11−i−ii−ζ7−ζ11ζ7ζ1111-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32ii−iζ7ζ11−ζ7−ζ11−i−ii−ζ7−ζ11ζ7ζ1111-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32ii−iζ7ζ11−ζ7−ζ11−i−ii−ζ7−ζ11ζ7ζ1111-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32ii−iζ7ζ11−ζ7−ζ11−i−ii−ζ7−ζ11ζ7ζ1111-1−1+i32−1−i321−i321+i3211-1−1+i32−1−i321−i321+i32-1-111−i321+i32−1+i32−1−i32ii−iζ7ζ11−ζ7−ζ11−i−ii−ζ7−ζ11ζ7ζ11
χ2011-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32ii−iζ11ζ7−ζ11−ζ7−i−ii−ζ11−ζ7ζ11ζ711-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32ii−iζ11ζ7−ζ11−ζ7−i−ii−ζ11−ζ7ζ11ζ711-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32ii−iζ11ζ7−ζ11−ζ7−i−ii−ζ11−ζ7ζ11ζ711-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32ii−iζ11ζ7−ζ11−ζ7−i−ii−ζ11−ζ7ζ11ζ711-1−1−i32−1+i321+i321−i3211-1−1−i32−1+i321+i321−i32-1-111+i321−i32−1−i32−1+i32ii−iζ11ζ7−ζ11−ζ7−i−ii−ζ11−ζ7ζ11ζ7
χ216-1000006-100000-61000006i−i00000−6ii000006-1000006-100000-61000006i−i00000−6ii000006-1000006-100000-61000006i−i00000−6ii000006-1000006-100000-61000006i−i00000−6ii000006-1000006-100000-61000006i−i00000−6ii00000
χ2211111111111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii11111111111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii11111111111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii11111111111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii11111111111111-1-1-1-1-1-1-1−i−i−i−i−i−i−iiiiiiii
χ23111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32−i−i−i−ζ7−ζ11−ζ7−ζ11iiiζ7ζ11ζ7ζ11111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32−i−i−i−ζ7−ζ11−ζ7−ζ11iiiζ7ζ11ζ7ζ11111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32−i−i−i−ζ7−ζ11−ζ7−ζ11iiiζ7ζ11ζ7ζ11111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32−i−i−i−ζ7−ζ11−ζ7−ζ11iiiζ7ζ11ζ7ζ11111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32−i−i−i−ζ7−ζ11−ζ7−ζ11iiiζ7ζ11ζ7ζ11
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χ37111−1+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−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32
χ38111−1−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+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32
χ3911-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111
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χ43111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ44111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32
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χ107111−1+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−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+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−i32
χ108111−1−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+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−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+i32
χ10911-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-11-1-11111-111-1-111-111-1-111-111-1-111-111-1-111-111-1-1
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χ113111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ114111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32111−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+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−i32-1-1-11−i321+i321−i321+i32-1-1-11−i321+i321−i321+i32
χ115111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32111−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−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+i32-1-1-11+i321−i321+i321−i32-1-1-11+i321−i321+i321−i32
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χ16622-2−1+i3−1−i31−i31+i322-2−1+i3−1−i31−i31+i3-2-221−i31+i3−1+i3−1−i3−2i−2i2i−2ζ7−2ζ112ζ72ζ112i2i−2i2ζ72ζ11−2ζ7−2ζ11-2-221−i31+i3−1+i3−1−i3-2-221−i31+i3−1+i3−1−i322-2−1+i3−1−i31−i31+i32i2i−2i2ζ72ζ11−2ζ7−2ζ11−2i−2i2i−2ζ7−2ζ112ζ72ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16722-2−1−i3−1+i31+i31−i322-2−1−i3−1+i31+i31−i3-2-221+i31−i3−1−i3−1+i3−2i−2i2i−2ζ11−2ζ72ζ112ζ72i2i−2i2ζ112ζ7−2ζ11−2ζ7-2-221+i31−i3−1−i3−1+i3-2-221+i31−i3−1−i3−1+i322-2−1−i3−1+i31+i31−i32i2i−2i2ζ112ζ7−2ζ11−2ζ7−2i−2i2i−2ζ11−2ζ72ζ112ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16812-20000012-200000-12200000−12i2i0000012i−2i00000-12200000-1220000012-20000012i−2i00000−12i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1698888888-2-2-2-2-2-2-2000000000000000000000-8-8-8-8-8-8-82222222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ170888−4+4i3−4−4i3−4+4i3−4−4i3-2-2-21−i31+i31−i31+i3000000000000000000000-8-8-84−4i34+4i34−4i34+4i3222−1+i3−1−i3−1+i3−1−i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ171888−4−4i3−4+4i3−4−4i3−4+4i3-2-2-21+i31−i31+i31−i3000000000000000000000-8-8-84+4i34−4i34+4i34−4i3222−1−i3−1+i3−1−i3−1+i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17288-888-8-8-2-22-2-222000000000000000000000-8-88-8-88822-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17388-8−4+4i3−4−4i34−4i34+4i3-2-221−i31+i3−1+i3−1−i3000000000000000000000-8-884−4i34+4i3−4+4i3−4−4i322-2−1+i3−1−i31−i31+i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17488-8−4−4i3−4+4i34+4i34−4i3-2-221+i31−i3−1−i3−1+i3000000000000000000000-8-884+4i34−4i3−4−4i3−4+4i322-2−1−i3−1+i31+i31−i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17548-800000-12200000000000000000000000000-4880000012-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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