Finite Group Databasebeta

← Group #13164447

Character table — Group #13164447

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size11223333333333666666181818181818181818181818242424242424112233333333336666661818181818181818181818182424242424241122333333333366666618181818181818181818181824242424242411223333333333666666181818181818181818181818242424242424
order1236223366666666666644441212121212121212333666226622666666666666664444121212121212121266666622662266666666666666444412121212121212126666662266226666666666666644441212121212121212666666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ4111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32
χ5111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ6111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32
χ71-11-11-11111-1-1-1-11-11-11-1i−ii−iii−i−iii−i−i111-1-1-11-11-11-11111-1-1-1-11-11-11-1i−ii−iii−i−iii−i−i111-1-1-11-11-11-11111-1-1-1-11-11-11-1i−ii−iii−i−iii−i−i111-1-1-11-11-11-11111-1-1-1-11-11-11-1i−ii−iii−i−iii−i−i111-1-1-1
χ81-11-11-11111-1-1-1-11-11-11-1−ii−ii−i−iii−i−iii111-1-1-11-11-11-11111-1-1-1-11-11-11-1−ii−ii−i−iii−i−iii111-1-1-11-11-11-11111-1-1-1-11-11-11-1−ii−ii−i−iii−i−iii111-1-1-11-11-11-11111-1-1-1-11-11-11-1−ii−ii−i−iii−i−iii111-1-1-1
χ91-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−ii−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1−i32−1+i32-11+i321−i321-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−ii−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1−i32−1+i32-11+i321−i321-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−ii−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1−i32−1+i32-11+i321−i321-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−ii−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1−i32−1+i32-11+i321−i32
χ101-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1−i32−1+i32-11+i321−i321-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1−i32−1+i32-11+i321−i321-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1−i32−1+i32-11+i321−i321-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1−i32−1+i32-11+i321−i32
χ111-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−ii−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1+i32−1−i32-11−i321+i321-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−ii−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1+i32−1−i32-11−i321+i321-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−ii−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1+i32−1−i32-11−i321+i321-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−ii−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1+i32−1−i32-11−i321+i32
χ121-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1+i32−1−i32-11−i321+i321-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1+i32−1−i32-11−i321+i321-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1+i32−1−i32-11−i321+i321-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1+i32−1−i32-11−i321+i32
χ1322222222222222222222000000000000-1-1-1-1-1-122222222222222222222000000000000-1-1-1-1-1-122222222222222222222000000000000-1-1-1-1-1-122222222222222222222000000000000-1-1-1-1-1-1
χ14222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3000000000000-11+i321−i32-11+i321−i32222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3000000000000-11+i321−i32-11+i321−i32222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3000000000000-11+i321−i32-11+i321−i32222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3000000000000-11+i321−i32-11+i321−i32
χ15222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3000000000000-11−i321+i32-11−i321+i32222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3000000000000-11−i321+i32-11−i321+i32222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3000000000000-11−i321+i32-11−i321+i32222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3000000000000-11−i321+i32-11−i321+i32
χ162-22-22-22222-2-2-2-22-22-22-2000000000000-1-1-11112-22-22-22222-2-2-2-22-22-22-2000000000000-1-1-11112-22-22-22222-2-2-2-22-22-22-2000000000000-1-1-11112-22-22-22222-2-2-2-22-22-22-2000000000000-1-1-1111
χ172-22-22-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-2−1−i31+i3−1+i31−i3000000000000-11+i321−i321−1−i32−1+i322-22-22-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-2−1−i31+i3−1+i31−i3000000000000-11+i321−i321−1−i32−1+i322-22-22-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-2−1−i31+i3−1+i31−i3000000000000-11+i321−i321−1−i32−1+i322-22-22-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-2−1−i31+i3−1+i31−i3000000000000-11+i321−i321−1−i32−1+i32
χ182-22-22-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-2−1+i31−i3−1−i31+i3000000000000-11−i321+i321−1+i32−1−i322-22-22-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-2−1+i31−i3−1−i31+i3000000000000-11−i321+i321−1+i32−1−i322-22-22-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-2−1+i31−i3−1−i31+i3000000000000-11−i321+i321−1+i32−1−i322-22-22-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-2−1+i31−i3−1−i31+i3000000000000-11−i321+i321−1+i32−1−i32
χ193333-1-133-1-13-13-1-1-1-1-1-1-111-1-11-11-11-11-10000003333-1-133-1-13-13-1-1-1-1-1-1-111-1-11-11-11-11-10000003333-1-133-1-13-13-1-1-1-1-1-1-111-1-11-11-11-11-10000003333-1-133-1-13-13-1-1-1-1-1-1-111-1-11-11-11-11-1000000
χ203333-1-133-1-13-13-1-1-1-1-1-1-1-1-111-11-11-11-110000003333-1-133-1-13-13-1-1-1-1-1-1-1-1-111-11-11-11-110000003333-1-133-1-13-13-1-1-1-1-1-1-1-1-111-11-11-11-110000003333-1-133-1-13-13-1-1-1-1-1-1-1-1-111-11-11-11-11000000
χ213333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i320000003333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i320000003333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i320000003333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32000000
χ223333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-1-1111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i320000003333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-1-1111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i320000003333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-1-1111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i320000003333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-1-1111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32000000
χ233333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i320000003333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i320000003333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i320000003333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32000000
χ243333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-1-1111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i320000003333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-1-1111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i320000003333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-1-1111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i320000003333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-1-1111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32000000
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χ11511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111
χ11611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ117111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-11+i321−i32-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-11+i321−i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ118111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32
χ119111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-11−i321+i32-11−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-11−i321+i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ120111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32
χ1211-11-11-11111-1-1-1-11-11-11-1i−ii−iii−i−iii−i−i111-1-1-1-11-11-11-1-1-1-11111-11-11-11−ii−ii−i−iii−i−iii-1-1-1111-11-11-11-1-1-1-11111-11-11-11−ii−ii−i−iii−i−iii-1-1-11111-11-11-11111-1-1-1-11-11-11-1i−ii−iii−i−iii−i−i111-1-1-1
χ1221-11-11-11111-1-1-1-11-11-11-1−ii−ii−i−iii−i−iii111-1-1-1-11-11-11-1-1-1-11111-11-11-11i−ii−iii−i−iii−i−i-1-1-1111-11-11-11-1-1-1-11111-11-11-11i−ii−iii−i−iii−i−i-1-1-11111-11-11-11111-1-1-1-11-11-11-1−ii−ii−i−iii−i−iii111-1-1-1
χ1231-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−ii−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1−i32−1+i32-11+i321−i32-11-11-111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32−ii−ii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-11+i321−i321−1−i32−1+i32-11-11-111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32−ii−ii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7-11+i321−i321−1−i32−1+i321-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32i−ii−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ71−1−i32−1+i32-11+i321−i32
χ1241-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1−i32−1+i32-11+i321−i32-11-11-111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32i−ii−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-11+i321−i321−1−i32−1+i32-11-11-111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32i−ii−iζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7-11+i321−i321−1−i32−1+i321-11-11-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32−ii−ii−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ71−1−i32−1+i32-11+i321−i32
χ1251-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−ii−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1+i32−1−i32-11−i321+i32-11-11-111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32−ii−ii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-11−i321+i321−1+i32−1−i32-11-11-111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32−ii−ii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11-11−i321+i321−1+i32−1−i321-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32i−ii−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ111−1+i32−1−i32-11−i321+i32
χ1261-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1+i32−1−i32-11−i321+i32-11-11-111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32i−ii−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-11−i321+i321−1+i32−1−i32-11-11-111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32i−ii−iζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11-11−i321+i321−1+i32−1−i321-11-11-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32−ii−ii−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ111−1+i32−1−i32-11−i321+i32
χ12722222222222222222222000000000000-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000011111122222222222222222222000000000000-1-1-1-1-1-1
χ128222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3000000000000-11+i321−i32-11+i321−i32-2-2-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3-2-21+i31+i31−i31−i30000000000001−1−i32−1+i321−1−i32−1+i32-2-2-2-2-2-21+i31−i31+i31−i31+i31+i31−i31−i3-2-21+i31+i31−i31−i30000000000001−1−i32−1+i321−1−i32−1+i32222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i3000000000000-11+i321−i32-11+i321−i32
χ129222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3000000000000-11−i321+i32-11−i321+i32-2-2-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i3-2-21−i31−i31+i31+i30000000000001−1+i32−1−i321−1+i32−1−i32-2-2-2-2-2-21−i31+i31−i31+i31−i31−i31+i31+i3-2-21−i31−i31+i31+i30000000000001−1+i32−1−i321−1+i32−1−i32222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i3000000000000-11−i321+i32-11−i321+i32
χ1302-22-22-22222-2-2-2-22-22-22-2000000000000-1-1-1111-22-22-22-2-2-2-22222-22-22-22000000000000111-1-1-1-22-22-22-2-2-2-22222-22-22-22000000000000111-1-1-12-22-22-22222-2-2-2-22-22-22-2000000000000-1-1-1111
χ1312-22-22-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-2−1−i31+i3−1+i31−i3000000000000-11+i321−i321−1−i32−1+i32-22-22-221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3-221+i3−1−i31−i3−1+i30000000000001−1−i32−1+i32-11+i321−i32-22-22-221+i31−i31+i31−i3−1−i3−1−i3−1+i3−1+i3-221+i3−1−i31−i3−1+i30000000000001−1−i32−1+i32-11+i321−i322-22-22-2−1−i3−1+i3−1−i3−1+i31+i31+i31−i31−i32-2−1−i31+i3−1+i31−i3000000000000-11+i321−i321−1−i32−1+i32
χ1322-22-22-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-2−1+i31−i3−1−i31+i3000000000000-11−i321+i321−1+i32−1−i32-22-22-221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3-221−i3−1+i31+i3−1−i30000000000001−1+i32−1−i32-11−i321+i32-22-22-221−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i3-221−i3−1+i31+i3−1−i30000000000001−1+i32−1−i32-11−i321+i322-22-22-2−1+i3−1−i3−1+i3−1−i31−i31−i31+i31+i32-2−1+i31−i3−1−i31+i3000000000000-11−i321+i321−1+i32−1−i32
χ1333333-1-133-1-13-13-1-1-1-1-1-1-111-1-11-11-11-11-1000000-3-3-3-311-3-311-31-31111111-1-111-11-11-11-11000000-3-3-3-311-3-311-31-31111111-1-111-11-11-11-110000003333-1-133-1-13-13-1-1-1-1-1-1-111-1-11-11-11-11-1000000
χ1343333-1-133-1-13-13-1-1-1-1-1-1-1-1-111-11-11-11-11000000-3-3-3-311-3-311-31-3111111111-1-11-11-11-11-1000000-3-3-3-311-3-311-31-3111111111-1-11-11-11-11-10000003333-1-133-1-13-13-1-1-1-1-1-1-1-1-111-11-11-11-11000000
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χ1363333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-1-1111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32000000-3-3-3-3113+3i323−3i32−1−i32−1+i323+3i32−1−i323−3i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32000000-3-3-3-3113+3i323−3i32−1−i32−1+i323+3i32−1−i323−3i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-1−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i320000003333-1-1−3−3i32−3+3i321+i321−i32−3−3i321+i32−3+3i321−i32-1-11+i321+i321−i321−i32-1-1111+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i32000000
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χ1383333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-1-1111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32000000-3-3-3-3113−3i323+3i32−1+i32−1−i323−3i32−1+i323+3i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32000000-3-3-3-3113−3i323+3i32−1+i32−1−i323−3i32−1+i323+3i32−1−i3211−1+i32−1+i32−1−i32−1−i3211-1-1−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i320000003333-1-1−3+3i32−3−3i321−i321+i32−3+3i321−i32−3−3i321+i32-1-11−i321−i321+i321+i32-1-1111−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i32000000
χ1393-33-3-1133-1-1-31-31-11-11-11i−i−iii−i−iii−i−ii000000-33-331-1-3-3113-13-11-11-11-1−iii−i−iii−i−iii−i000000-33-331-1-3-3113-13-11-11-11-1−iii−i−iii−i−iii−i0000003-33-3-1133-1-1-31-31-11-11-11i−i−iii−i−iii−i−ii000000
χ1403-33-3-1133-1-1-31-31-11-11-11−iii−i−iii−i−iii−i000000-33-331-1-3-3113-13-11-11-11-1i−i−iii−i−iii−i−ii000000-33-331-1-3-3113-13-11-11-11-1i−i−iii−i−iii−i−ii0000003-33-3-1133-1-1-31-31-11-11-11−iii−i−iii−i−iii−i000000
χ1413-33-3-11−3−3i32−3+3i321+i321−i323+3i32−1−i323−3i32−1+i32-111+i32−1−i321−i32−1+i32i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7000000-33-331-13+3i323−3i32−1−i32−1+i32−3−3i321+i32−3+3i321−i321-1−1−i321+i32−1+i321−i32−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7000000-33-331-13+3i323−3i32−1−i32−1+i32−3−3i321+i32−3+3i321−i321-1−1−i321+i32−1+i321−i32−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ70000003-33-3-11−3−3i32−3+3i321+i321−i323+3i32−1−i323−3i32−1+i32-111+i32−1−i321−i32−1+i32i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7000000
χ1423-33-3-11−3−3i32−3+3i321+i321−i323+3i32−1−i323−3i32−1+i32-111+i32−1−i321−i32−1+i32−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7000000-33-331-13+3i323−3i32−1−i32−1+i32−3−3i321+i32−3+3i321−i321-1−1−i321+i32−1+i321−i32i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7000000-33-331-13+3i323−3i32−1−i32−1+i32−3−3i321+i32−3+3i321−i321-1−1−i321+i32−1+i321−i32i−i−iiζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ70000003-33-3-11−3−3i32−3+3i321+i321−i323+3i32−1−i323−3i32−1+i32-111+i32−1−i321−i32−1+i32−iii−i−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7000000
χ1433-33-3-11−3+3i32−3−3i321−i321+i323−3i32−1+i323+3i32−1−i32-111−i32−1+i321+i32−1−i32i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11000000-33-331-13−3i323+3i32−1+i32−1−i32−3+3i321−i32−3−3i321+i321-1−1+i321−i32−1−i321+i32−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11000000-33-331-13−3i323+3i32−1+i32−1−i32−3+3i321−i32−3−3i321+i321-1−1+i321−i32−1−i321+i32−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ110000003-33-3-11−3+3i32−3−3i321−i321+i323−3i32−1+i323+3i32−1−i32-111−i32−1+i321+i32−1−i32i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11000000
χ1443-33-3-11−3+3i32−3−3i321−i321+i323−3i32−1+i323+3i32−1−i32-111−i32−1+i321+i32−1−i32−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11000000-33-331-13−3i323+3i32−1+i32−1−i32−3+3i321−i32−3−3i321+i321-1−1+i321−i32−1−i321+i32i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11000000-33-331-13−3i323+3i32−1+i32−1−i32−3+3i321−i32−3−3i321+i321-1−1+i321−i32−1−i321+i32i−i−iiζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ110000003-33-3-11−3+3i32−3−3i321−i321+i323−3i32−1+i323+3i32−1−i32-111−i32−1+i321+i32−1−i32−iii−i−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11000000
χ14566-3-36600000000-3-30000000000000000000000-6-633-6-600000000330000000000000000000000-6-633-6-60000000033000000000000000000000066-3-36600000000-3-30000000000000000000000
χ14666-3-3-2-20044040411-2-2-2-2000000000000000000-6-6332200-4-40-40-4-1-12222000000000000000000-6-6332200-4-40-40-4-1-1222200000000000000000066-3-3-2-20044040411-2-2-2-2000000000000000000
χ14766-3-3-2-200−2−2i3−2+2i30−2−2i30−2+2i3111+i31+i31−i31−i3000000000000000000-6-63322002+2i32−2i302+2i302−2i3-1-1−1−i3−1−i3−1+i3−1+i3000000000000000000-6-63322002+2i32−2i302+2i302−2i3-1-1−1−i3−1−i3−1+i3−1+i300000000000000000066-3-3-2-200−2−2i3−2+2i30−2−2i30−2+2i3111+i31+i31−i31−i3000000000000000000
χ14866-3-3-2-200−2+2i3−2−2i30−2+2i30−2−2i3111−i31−i31+i31+i3000000000000000000-6-63322002−2i32+2i302−2i302+2i3-1-1−1+i3−1+i3−1−i3−1−i3000000000000000000-6-63322002−2i32+2i302−2i302+2i3-1-1−1+i3−1+i3−1−i3−1−i300000000000000000066-3-3-2-200−2+2i3−2−2i30−2+2i30−2−2i3111−i31−i31+i31+i3000000000000000000
χ1496-6-336-600000000-330000000000000000000000-663-3-66000000003-30000000000000000000000-663-3-66000000003-300000000000000000000006-6-336-600000000-330000000000000000000000
χ1506-6-33-2200440-40-41-1-22-22000000000000000000-663-32-200-4-40404-112-22-2000000000000000000-663-32-200-4-40404-112-22-20000000000000000006-6-33-2200440-40-41-1-22-22000000000000000000
χ1516-6-33-2200−2−2i3−2+2i302+2i302−2i31-11+i3−1−i31−i3−1+i3000000000000000000-663-32-2002+2i32−2i30−2−2i30−2+2i3-11−1−i31+i3−1+i31−i3000000000000000000-663-32-2002+2i32−2i30−2−2i30−2+2i3-11−1−i31+i3−1+i31−i30000000000000000006-6-33-2200−2−2i3−2+2i302+2i302−2i31-11+i3−1−i31−i3−1+i3000000000000000000
χ1526-6-33-2200−2+2i3−2−2i302−2i302+2i31-11−i3−1+i31+i3−1−i3000000000000000000-663-32-2002−2i32+2i30−2+2i30−2−2i3-11−1+i31−i3−1−i31+i3000000000000000000-663-32-2002−2i32+2i30−2+2i30−2−2i3-11−1+i31−i3−1−i31+i30000000000000000006-6-33-2200−2+2i3−2−2i302−2i302+2i31-11−i3−1+i31+i3−1−i3000000000000000000

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