Finite Group Databasebeta

← Group #14518622

Character table — Group #14518622

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size112233336666669999992244666612121212121218181818181833669999181818181818272727272727112233336666669999992244666612121212121218181818181833669999181818181818272727272727112233336666669999992244666612121212121218181818181833669999181818181818272727272727
order12363366333666441212121236363366333666121212121212226666666666664412121212363633663336661212121212123636336633366612121212121266666666666666121212121212363633663336661212121212123636336633366612121212121266666666666666121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ31111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ41111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32
χ51111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ61111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32
χ71-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i
χ81-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii
χ91-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7
χ101-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ7
χ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11
χ121-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11
χ1322222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-1000000
χ142222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32000000
χ152222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i320000002222−1+i3−1−i3−1+i3−1−i3-11−i321+i32-11−i321+i32000000
χ162-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-1111000000
χ172-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i320000002-22-2−1−i3−1+i31+i31−i3-11+i321−i321−1−i32−1+i32000000
χ182-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i320000002-22-2−1+i3−1−i31−i31+i3-11−i321+i321−1+i32−1−i32000000
χ1966-3-3000000000000000066-3-3000000000000000066-3-3000000000000000066-3-3000000000000000066-3-3000000000000000066-3-3000000000000000066-3-3000000000000000066-3-3000000000000000066-3-30000000000000000
χ206-6-3300000000000000006-6-3300000000000000006-6-3300000000000000006-6-3300000000000000006-6-3300000000000000006-6-3300000000000000006-6-3300000000000000006-6-3300000000000000006-6-330000000000000000
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2211111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ231111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32
χ241111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32
χ251111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32
χ261111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32
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χ281-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii-11-11-1-111-1-1-1111i−ii−ii−i1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii-11-11-1-111-1-1-1111i−ii−ii−i1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii-11-11-1-111-1-1-1111i−ii−ii−i
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χ1231111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1+i3211−1−i32−1−i32
χ1241111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i3211+i321+i321−i321−i32-1-1−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i3211+i321+i321−i321−i32-1-1−1−i32−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i3211+i321+i321−i321−i32-1-1−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i321−1−i321−i321−i32-1-11+i321+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i321−1−i321−i321−i32-1-11+i321+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i32−1+i321−1−i32−1+i321−1−i321−i321−i32-1-11+i321+i32
χ1251111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i3211
χ1261111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i321+i321+i32-1-11−i321−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i321+i321+i32-1-11−i321−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i32−1−i321−1+i32−1−i321−1+i321+i321+i32-1-11−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−i321−i321+i321+i32-1-1−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−i321−i321+i321+i32-1-1−1+i32−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i3211−i321−i321+i321+i32-1-1
χ1271-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i1-11-111-1-1111-1-1-1i−ii−ii−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ1281-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii1-11-111-1-1111-1-1-1−ii−ii−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ1291-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32i−iζ11−ζ11ζ7−ζ7−1−i321+i32−1−i321+i32−1+i3211−i32-1−1−i32−1+i3211+i321−i32-1ζ11−ζ11ζ7−ζ7i−i−1−i321+i32−1−i321+i32−1+i3211−i32-1−1−i32−1+i3211+i321−i32-1ζ11−ζ11ζ7−ζ7i−i−1−i321+i32−1−i321+i32−1+i3211−i32-1−1−i32−1+i3211+i321−i32-1ζ11−ζ11ζ7−ζ7i−i−1+i321−i32−1+i321−i321−1−i32-11+i32−1+i321−1−i321−i32-11+i32ζ7−ζ7i−iζ11−ζ11−1+i321−i32−1+i321−i321−1−i32-11+i32−1+i321−1−i321−i32-11+i32ζ7−ζ7i−iζ11−ζ11−1+i321−i32−1+i321−i321−1−i32-11+i32−1+i321−1−i321−i32-11+i32ζ7−ζ7i−iζ11−ζ11
χ1301-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ71-11-1−1−i32−1+i321+i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ11ζ11−ζ7ζ7−1−i321+i32−1−i321+i32−1+i3211−i32-1−1−i32−1+i3211+i321−i32-1−ζ11ζ11−ζ7ζ7−ii−1−i321+i32−1−i321+i32−1+i3211−i32-1−1−i32−1+i3211+i321−i32-1−ζ11ζ11−ζ7ζ7−ii−1−i321+i32−1−i321+i32−1+i3211−i32-1−1−i32−1+i3211+i321−i32-1−ζ11ζ11−ζ7ζ7−ii−1+i321−i32−1+i321−i321−1−i32-11+i32−1+i321−1−i321−i32-11+i32−ζ7ζ7−ii−ζ11ζ11−1+i321−i32−1+i321−i321−1−i32-11+i32−1+i321−1−i321−i32-11+i32−ζ7ζ7−ii−ζ11ζ11−1+i321−i32−1+i321−i321−1−i32-11+i32−1+i321−1−i321−i32-11+i32−ζ7ζ7−ii−ζ11ζ11
χ1311-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32i−iζ7−ζ7ζ11−ζ11−1−i321+i32−1−i321+i321−1+i32-11−i32−1−i321−1+i321+i32-11−i32ζ11−ζ11i−iζ7−ζ7−1−i321+i32−1−i321+i321−1+i32-11−i32−1−i321−1+i321+i32-11−i32ζ11−ζ11i−iζ7−ζ7−1−i321+i32−1−i321+i321−1+i32-11−i32−1−i321−1+i321+i32-11−i32ζ11−ζ11i−iζ7−ζ7−1+i321−i32−1+i321−i32−1−i3211+i32-1−1+i32−1−i3211−i321+i32-1ζ7−ζ7ζ11−ζ11i−i−1+i321−i32−1+i321−i32−1−i3211+i32-1−1+i32−1−i3211−i321+i32-1ζ7−ζ7ζ11−ζ11i−i−1+i321−i32−1+i321−i32−1−i3211+i32-1−1+i32−1−i3211−i321+i32-1ζ7−ζ7ζ11−ζ11i−i
χ1321-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ111-11-1−1+i32−1−i321−i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ7ζ7−ζ11ζ11−1−i321+i32−1−i321+i321−1+i32-11−i32−1−i321−1+i321+i32-11−i32−ζ11ζ11−ii−ζ7ζ7−1−i321+i32−1−i321+i321−1+i32-11−i32−1−i321−1+i321+i32-11−i32−ζ11ζ11−ii−ζ7ζ7−1−i321+i32−1−i321+i321−1+i32-11−i32−1−i321−1+i321+i32-11−i32−ζ11ζ11−ii−ζ7ζ7−1+i321−i32−1+i321−i32−1−i3211+i32-1−1+i32−1−i3211−i321+i32-1−ζ7ζ7−ζ11ζ11−ii−1+i321−i32−1+i321−i32−1−i3211+i32-1−1+i32−1−i3211−i321+i32-1−ζ7ζ7−ζ11ζ11−ii−1+i321−i32−1+i321−i32−1−i3211+i32-1−1+i32−1−i3211−i321+i32-1−ζ7ζ7−ζ11ζ11−ii
χ13322222222-1-1-1-1-1-100000022222222-1-1-1-1-1-100000022222222-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ1342222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i320000002222−1−i3−1+i3−1−i3−1+i3-11+i321−i32-11+i321−i32000000−1−i3−1−i3−1−i3−1−i3−1+i32−1+i321+i321−i32-11+i321−i32-1000000−1−i3−1−i3−1−i3−1−i3−1+i32−1+i321+i321−i32-11+i321−i32-1000000−1−i3−1−i3−1−i3−1−i3−1+i32−1+i321+i321−i32-11+i321−i32-1000000−1+i3−1+i3−1+i3−1+i32−1−i32−1−i31−i32-11+i321−i32-11+i32000000−1+i3−1+i3−1+i3−1+i32−1−i32−1−i31−i32-11+i321−i32-11+i32000000−1+i3−1+i3−1+i3−1+i32−1−i32−1−i31−i32-11+i321−i32-11+i32000000
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χ1362-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-11110000002-22-222-2-2-1-1-1111000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32000000−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32000000−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32000000
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χ17344444444-2-2-2-2-2-2000000-2-2-2-2-2-2-2-211111100000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i30000001+i31+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i30000001−i31−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000000000000000000000
χ1744444−2−2i3−2+2i3−2−2i3−2+2i3-21+i31−i3-21+i31−i3000000-2-2-2-21+i31−i31+i31−i31−1−i32−1+i321−1−i32−1+i3200000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2+2i34−2+2i341+i31−i3-21+i31−i3-20000001+i31+i31+i31+i31−i3-21−i3-2−1−i32−1+i321−1−i32−1+i32100000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i34−2−2i34−2−2i31−i3-21+i31−i3-21+i30000001−i31−i31−i31−i3-21+i3-21+i3−1+i321−1−i32−1+i321−1−i3200000000000000000000000000
χ1754444−2+2i3−2−2i3−2+2i3−2−2i3-21−i31+i3-21−i31+i3000000-2-2-2-21−i31+i31−i31+i31−1+i32−1−i321−1+i32−1−i3200000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i34−2+2i34−2+2i31+i3-21−i31+i3-21−i30000001+i31+i31+i31+i3-21−i3-21−i3−1−i321−1+i32−1−i321−1+i3200000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2−2i34−2−2i341−i31+i3-21−i31+i3-20000001−i31−i31−i31−i31+i3-21+i3-2−1+i32−1−i321−1+i32−1−i32100000000000000000000000000
χ1764-44-444-4-4-2-2-2222000000-22-22-2-222111-1-1-100000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i31+i31+i31+i3−1−i3−1−i3−1−i30000001+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i321+i321+i321+i3200000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i31−i31−i31−i3−1+i3−1+i3−1+i30000001−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i321−i321−i321−i3200000000000000000000000000
χ1774-44-4−2−2i3−2+2i32+2i32−2i3-21+i31−i32−1−i3−1+i3000000-22-221+i31−i3−1−i3−1+i31−1−i32−1+i32-11+i321−i3200000000000000000000000000−2−2i32+2i3−2−2i32+2i3−2+2i342−2i3-41+i31−i3-2−1−i3−1+i320000001+i3−1−i31+i3−1−i31−i3-2−1+i32−1−i32−1+i3211+i321−i32-100000000000000000000000000−2+2i32−2i3−2+2i32−2i34−2−2i3-42+2i31−i3-21+i3−1+i32−1−i30000001−i3−1+i31−i3−1+i3-21+i32−1−i3−1+i321−1−i321−i32-11+i3200000000000000000000000000
χ1784-44-4−2+2i3−2−2i32−2i32+2i3-21−i31+i32−1+i3−1−i3000000-22-221−i31+i3−1+i3−1−i31−1+i32−1−i32-11−i321+i3200000000000000000000000000−2−2i32+2i3−2−2i32+2i34−2+2i3-42−2i31+i3-21−i3−1−i32−1+i30000001+i3−1−i31+i3−1−i3-21−i32−1+i3−1−i321−1+i321+i32-11−i3200000000000000000000000000−2+2i32−2i3−2+2i32−2i3−2−2i342+2i3-41−i31+i3-2−1+i3−1−i320000001−i3−1+i31−i3−1+i31+i3-2−1−i32−1+i32−1−i3211−i321+i32-100000000000000000000000000
χ1791212-6-60000000000000000-6-633000000000000000000000000000000000000−6−6i3−6−6i33+3i33+3i300000000000000003+3i33+3i3−3−3i32−3−3i32000000000000000000000000000000000000−6+6i3−6+6i33−3i33−3i300000000000000003−3i33−3i3−3+3i32−3+3i32000000000000000000000000000000000000
χ18012-12-660000000000000000-663-3000000000000000000000000000000000000−6−6i36+6i33+3i3−3−3i300000000000000003+3i3−3−3i3−3−3i323+3i32000000000000000000000000000000000000−6+6i36−6i33−3i3−3+3i300000000000000003−3i3−3+3i3−3+3i323−3i32000000000000000000000000000000000000

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