Finite Group Databasebeta

← Group #72253018

Character table — Group #72253018

Order 3888.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111111222222333366666669999999999991212121818181818181818181818181818242424242424242424242424242424242424363636363636363636363654545454545454545454545454545454727272727272727272727272108108108108108108108108
order12336633366699181849912121818336699991818181812121288121224242424363636363636999999999181818181818181818412121212363636363636242424247272727272727272727272729999991818181818181212363636363636
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-111-1-1-1-1111111111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i32111111111111111111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−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+i3211−1−i32−1−i32−1+i32−1+i32
χ411111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1−1−i32−1+i32-1-1-1-111−1−i32−1−i32−1+i32−1+i32111111111111111111-1-1-1−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−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−i32-1-11+i321+i321−i321−i32
χ511111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211111−1+i32−1−i32111111−1+i32−1+i32−1−i32−1−i32111111111111111111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+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−i3211−1+i32−1+i32−1−i32−1−i32
χ611111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1−1+i32−1−i32-1-1-1-111−1+i32−1+i32−1−i32−1−i32111111111111111111-1-1-1−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+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+i32-1-11−i321−i321+i321+i32
χ7111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ8111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321−i321+i321−i321+i321−i32
χ9111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i3211111−1−i32−1+i321111−1−i32−1+i32−1+i3211−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32
χ10111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1+i3211−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i321+i321+i321−i321−i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321−i321+i321−i321−i32-1-11+i32
χ11111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−1−i32−1+i32111111−1+i32−1−i321111−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1−i32−1−i32−1+i321−1−i32−1+i321−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1−i32−1−i32−1+i321−1−i32−1+i321
χ12111111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−1−i32−1+i321111-1-1−1+i32−1−i32-1-1-1-1−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1−1+i32−1−i32−1−i32−1+i321−1−i32−1+i3211−i321−i321+i321+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321+i321+i321−i32-11+i321−i32-1
χ13111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ14111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321+i321−i321+i321−i321+i32
χ15111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211−1+i32−1−i32111111−1−i32−1+i321111−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1+i32−1+i32−1−i321−1+i32−1−i321−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i32−1+i32−1+i32−1−i321−1+i32−1−i321
χ16111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211−1+i32−1−i321111-1-1−1−i32−1+i32-1-1-1-1−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1−1−i32−1+i32−1+i32−1−i321−1+i32−1−i3211+i321+i321−i321−i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211+i321−i321−i321+i32-11−i321+i32-1
χ17111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i3211111−1+i32−1−i321111−1+i32−1−i32−1−i3211−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32
χ18111111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1−i3211−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i321−i321−i321+i321+i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321−i321+i321−i321+i321+i32-1-11−i32
χ192222222222222222222222222222222222222200220000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000222222220000000000000000-1-1-1-1-1-1-1-1-1-1-1-100000000
χ2022222222222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i322200−1−i3−1+i3000022−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000−1−i3−1+i322−1−i3−1−i3−1+i3−1+i300000000000000001+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i3200000000
χ2122222222222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i322200−1+i3−1−i3000022−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000−1+i3−1−i322−1+i3−1+i3−1−i3−1−i300000000000000001−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i3200000000
χ22222222222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i322−1−i3−1+i32222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322200220000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i3200022−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000000000000000-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i3200000000
χ23222222222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i322−1−i3−1+i322−1−i322200−1−i3−1+i30000−1−i3−1+i3−1+i322−1−i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000−1−i3−1+i3−1−i3−1+i3−1+i322−1−i300000000000000001+i321−i32-11−i32-11+i321+i321−i32-11−i32-11+i3200000000
χ24222222222222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i322−1−i3−1+i3−1+i3−1−i3−1+i3−1−i32−1−i3−1+i322−1−i3−1+i3222200−1+i3−1−i30000−1−i3−1+i32−1−i3−1+i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000−1+i3−1−i3−1−i3−1+i32−1−i3−1+i3200000000000000001−i32-11+i321+i321−i32-11−i32-11+i321+i321−i32-100000000
χ25222222222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i322−1+i3−1−i32222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322200220000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i3200022−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30000000000000000-11−i321+i32-11−i321+i32-11−i321+i32-11−i321+i3200000000
χ26222222222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i322−1+i3−1−i3−1−i3−1+i3−1−i3−1+i32−1+i3−1−i322−1+i3−1−i3222200−1−i3−1+i30000−1+i3−1−i32−1+i3−1−i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000−1−i3−1+i3−1+i3−1−i32−1+i3−1−i3200000000000000001+i32-11−i321−i321+i32-11+i32-11−i321−i321+i32-100000000
χ27222222222222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i322−1+i3−1−i322−1+i322200−1+i3−1−i30000−1+i3−1−i3−1−i322−1+i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000−1+i3−1−i3−1+i3−1−i3−1−i322−1+i300000000000000001−i321+i32-11+i32-11−i321−i321+i32-11+i32-11−i3200000000
χ282-222-2-2222-2-2-222-2-202200-2-222-2-22222-2-2-2-20002−20022−2−2000000-1-1-1-1-1-1-1-1-1111111111000000000002−22−22−22−22−22−22−22−2-1-1-1-1-1-111111100000000
χ292-222-2-2222-2-2-222-2-202200-2-222-2-22222-2-2-2-2000−2200−2−222000000-1-1-1-1-1-1-1-1-111111111100000000000−22−22−22−22−22−22−22−22-1-1-1-1-1-111111100000000
χ302-222-2-2222-2-2-222-2-202200-2-2−1−i3−1+i31+i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30002−20022−2−2000000-1-1-1-1-1-1-1-1-111111111100000000000−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ232−22−2−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ231+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000
χ312-222-2-2222-2-2-222-2-202200-2-2−1−i3−1+i31+i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3000−2200−2−222000000-1-1-1-1-1-1-1-1-111111111100000000000ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−22−22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ231+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000
χ322-222-2-2222-2-2-222-2-202200-2-2−1+i3−1−i31−i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30002−20022−2−2000000-1-1-1-1-1-1-1-1-111111111100000000000ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ132−22−2ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ131−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000
χ332-222-2-2222-2-2-222-2-202200-2-2−1+i3−1−i31−i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3000−2200−2−222000000-1-1-1-1-1-1-1-1-111111111100000000000−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−22−22−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ131−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000
χ342-222-2-2222-2-2-2−1−i3−1+i31+i31−i30−1−i3−1+i3001+i31−i322-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30002−20022−2−2000000-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000002−22−2−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i3200000000
χ352-222-2-2222-2-2-2−1−i3−1+i31+i31−i30−1−i3−1+i3001+i31−i322-2-2−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i3000−2200−2−222000000-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000−22−22ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i3200000000
χ362-222-2-2222-2-2-2−1−i3−1+i31+i31−i30−1−i3−1+i3001+i31−i3−1−i3−1+i31+i31−i3−1+i322−1−i31−i3-2-21+i30002−20022−2−2000000-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ232−22−2−ζ7+ζ13ζ7−ζ131+i321−i32-11−i32-11+i32−1−i32−1+i321−1+i321−1−i3200000000
χ372-222-2-2222-2-2-2−1−i3−1+i31+i31−i30−1−i3−1+i3001+i31−i3−1−i3−1+i31+i31−i3−1+i322−1−i31−i3-2-21+i3000−2200−2−222000000-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−22−22ζ7−ζ13−ζ7+ζ131+i321−i32-11−i32-11+i32−1−i32−1+i321−1+i321−1−i3200000000
χ382-222-2-2222-2-2-2−1−i3−1+i31+i31−i30−1−i3−1+i3001+i31−i3−1+i3−1−i31−i31+i32−1−i3−1+i32-21+i31−i3-20002−20022−2−2000000-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ232−2−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ232−21−i32-11+i321+i321−i32-1−1+i321−1−i32−1−i32−1+i32100000000
χ392-222-2-2222-2-2-2−1−i3−1+i31+i31−i30−1−i3−1+i3001+i31−i3−1+i3−1−i31−i31+i32−1−i3−1+i32-21+i31−i3-2000−2200−2−222000000-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3200000000000−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−22ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−221−i32-11+i321+i321−i32-1−1+i321−1−i32−1−i32−1+i32100000000
χ402-222-2-2222-2-2-2−1+i3−1−i31−i31+i30−1+i3−1−i3001−i31+i322-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30002−20022−2−2000000-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000002−22−2ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i3200000000
χ412-222-2-2222-2-2-2−1+i3−1−i31−i31+i30−1+i3−1−i3001−i31+i322-2-2−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i3000−2200−2−222000000-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000−22−22−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i3200000000
χ422-222-2-2222-2-2-2−1+i3−1−i31−i31+i30−1+i3−1−i3001−i31+i3−1−i3−1+i31+i31−i32−1+i3−1−i32-21−i31+i3-20002−20022−2−2000000-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ132−2ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ132−21+i32-11−i321−i321+i32-1−1−i321−1+i32−1+i32−1−i32100000000
χ432-222-2-2222-2-2-2−1+i3−1−i31−i31+i30−1+i3−1−i3001−i31+i3−1−i3−1+i31+i31−i32−1+i3−1−i32-21−i31+i3-2000−2200−2−222000000-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−22−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−221+i32-11−i321−i321+i32-1−1−i321−1+i32−1+i32−1−i32100000000
χ442-222-2-2222-2-2-2−1+i3−1−i31−i31+i30−1+i3−1−i3001−i31+i3−1+i3−1−i31−i31+i3−1−i322−1+i31+i3-2-21−i30002−20022−2−2000000-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ132−22−2ζ5−ζ23−ζ5+ζ231−i321+i32-11+i32-11−i32−1+i32−1−i321−1−i321−1+i3200000000
χ452-222-2-2222-2-2-2−1+i3−1−i31−i31+i30−1+i3−1−i3001−i31+i3−1+i3−1−i31−i31+i3−1−i322−1+i31+i3-2-21−i3000−2200−2−222000000-1-1-11−i321−i321−i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3200000000000−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−22−22−ζ5+ζ23ζ5−ζ231−i321+i32-11+i32-11−i32−1+i32−1−i321−1−i321−1+i3200000000
χ463333333333333333-133-1-133333333333333-1-1-111-1-11111-1-1-1-1-1-1000000000000000000-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000-1-1-1-1-1-1-1-1
χ473333333333333333-133-1-133333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000011111111
χ483333333333333333-133-1-133−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-1-1-1111+i321−i321111-1-11+i321+i321−i321−i32000000000000000000-1-1-11+i321−i32-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000001+i321−i32-1-11+i321+i321−i321−i32
χ493333333333333333-133-1-133−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321+i321−i321−i320000000000000000001111+i321−i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ503333333333333333-133-1-133−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-1-1-1111−i321+i321111-1-11−i321−i321+i321+i32000000000000000000-1-1-11−i321+i32-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000001−i321+i32-1-11−i321−i321+i321+i32
χ513333333333333333-133-1-133−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321−i321+i321+i320000000000000000001111−i321+i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ52333333333333−3−3i32−3+3i32−3−3i32−3+3i32-1−3−3i32−3+3i32-1-1−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-111-1-111111+i321−i321+i321−i321+i321−i32000000000000000000-1-1-1-1-11+i321−i321+i321−i321+i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32000000000000-1-11+i321−i321+i321−i321+i321−i32
χ53333333333333−3−3i32−3+3i32−3−3i32−3+3i32-1−3−3i32−3+3i32-1-1−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i32000000000000000000111-1-11+i321−i321+i321−i321+i321−i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i3200000000000011−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ54333333333333−3−3i32−3+3i32−3−3i32−3+3i32-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i3233−3−3i32-1-1-1111+i321−i3211111+i321−i321−i32-1-11+i32000000000000000000-1-1-11+i321−i321+i321−i321−i32-1-11+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i320000000000001+i321−i321+i321−i321−i32-1-11+i32
χ55333333333333−3−3i32−3+3i32−3−3i32−3+3i32-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3+3i3233−3−3i32−3+3i3233−3−3i32-1-1-1-1-11+i321−i32-1-1-1-11+i321−i321−i32-1-11+i320000000000000000001111+i321−i321+i321−i321−i32-1-11+i321+i321+i321−i321−i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i32000000000000−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32
χ56333333333333−3−3i32−3+3i32−3−3i32−3+3i32-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i32−3+3i3233−3−3i32−3+3i323-1-1-1111−i321+i3211111+i321−i32-11+i321−i32-1000000000000000000-1-1-11−i321+i321+i321−i32-11+i321−i32-1−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32110000000000001−i321+i321+i321−i32-11+i321−i32-1
χ57333333333333−3−3i32−3+3i32−3−3i32−3+3i32-1−3−3i32−3+3i32-1-1−3−3i32−3+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3−3i32−3+3i3233−3−3i32−3+3i323-1-1-1-1-11−i321+i32-1-1-1-11+i321−i32-11+i321−i32-10000000000000000001111−i321+i321+i321−i32-11+i321−i32-11−i321−i321+i321+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1000000000000−1+i32−1−i32−1−i32−1+i321−1−i32−1+i321
χ58333333333333−3+3i32−3−3i32−3+3i32−3−3i32-1−3+3i32−3−3i32-1-1−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-111-1-111111−i321+i321−i321+i321−i321+i32000000000000000000-1-1-1-1-11−i321+i321−i321+i321−i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32000000000000-1-11−i321+i321−i321+i321−i321+i32
χ59333333333333−3+3i32−3−3i32−3+3i32−3−3i32-1−3+3i32−3−3i32-1-1−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-1-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i32000000000000000000111-1-11−i321+i321−i321+i321−i321+i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i3200000000000011−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ60333333333333−3+3i32−3−3i32−3+3i32−3−3i32-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i32−3−3i3233−3+3i32−3−3i323-1-1-1111+i321−i3211111−i321+i32-11−i321+i32-1000000000000000000-1-1-11+i321−i321−i321+i32-11−i321+i32-1−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32110000000000001+i321−i321−i321+i32-11−i321+i32-1
χ61333333333333−3+3i32−3−3i32−3+3i32−3−3i32-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3−3i32−3+3i32−3−3i32−3+3i323−3+3i32−3−3i3233−3+3i32−3−3i323-1-1-1-1-11+i321−i32-1-1-1-11−i321+i32-11−i321+i32-10000000000000000001111+i321−i321−i321+i32-11−i321+i32-11+i321+i321−i321−i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1000000000000−1−i32−1+i32−1+i32−1−i321−1+i32−1−i321
χ62333333333333−3+3i32−3−3i32−3+3i32−3−3i32-1−3+3i32−3−3i32-1-1−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3−3i3233−3+3i32−3−3i3233−3+3i32-1-1-1111−i321+i3211111−i321+i321+i32-1-11−i32000000000000000000-1-1-11−i321+i321−i321+i321+i32-1-11−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i320000000000001−i321+i321−i321+i321+i32-1-11−i32
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χ1161818−9−9i3−9+9i3−9−9i3−9+9i3-99+9i329−9i32-99+9i329−9i320000-6003+3i33−3i3000000000000003−3−3i32−3+3i320000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1171818−9+9i3−9−9i3−9+9i3−9−9i3-99−9i329+9i32-99−9i329+9i320000-6003−3i33+3i3000000000000003−3+3i32−3−3i320000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.