Finite Group Databasebeta

← Group #13159988

Character table — Group #13159988

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242424242424363654547272727272108108108
order122233333446666666666666663333666666666666881212121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424244441212121212121212121212121212121244442661212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ5111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1111-1-1
χ6111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111
χ7111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-111
χ8111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111111-1-11-1-1
χ9222222222-2-2222222222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000002200000-200
χ10222222222-2-2222222222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000-2-200000200
χ1122222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000022002-1-1-1-1000
χ1222222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-200-21111000
χ1322222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111111100000000000000000002200-211-1-1000
χ1422222222-1222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111111110000000000000000000-2-2002-1-111000
χ1522222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1622222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2-2111111000000000000
χ1722222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111122-222-1-1-1-1-1-1-2-2111111000000000000
χ1822222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-2-22-2-211111122-1-1-1-1-1-1000000000000
χ192222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ202222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111111-2-21111000000000000
χ212222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-2111111111111111122-2-1-122-1-1-1-111-2-21111000000000000
χ222222-12-1-1222-12-1-122-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111-2-2211-2-21111-1-122-1-1-1-1000000000000
χ232222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ242222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-21111-2-2111111-2-211000000000000
χ252222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111122-2-1-1-1-122-1-11111-2-211000000000000
χ262222-1-12-1222-1-12-122-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111-2-221111-2-211-1-1-1-122-1-1000000000000
χ272222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ282222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2111111-2-2111111-2-2000000000000
χ292222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-222-2-1-1-1-1-1-122111111-2-2000000000000
χ302222-1-1-12222-1-1-1222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-122000000000000
χ3122-2-2222222-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222002222222222222-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002i−2i02i−2i2i−2i2i−2i2i−2i00000000000000000000
χ3222-2-2222222-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222002222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000−2i2i0−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ3322-2-222222-22-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222000000000000000000000000000000000000000000000000000000000000000000000002-2000002-2000
χ3422-2-222222-22-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222200000000000000000000000000000000000000000000000000000000000000000000000-2200000-22000
χ3522-2-22222-1-22-2-2-2-211-2-2-2-22222-1-1-1-1-111111111-1-1-1-100-2-2-2-21111111112222-1-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000000002-2000−i3i3-11000
χ3622-2-22222-1-22-2-2-2-211-2-2-2-22222-1-1-1-1-111111111-1-1-1-100-2-2-2-21111111112222-1-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i30000000000000000000-22000i3−i31-1000
χ3722-2-22222-1-22-2-2-2-211-2-2-2-22222-1-1-1-1-111111111-1-1-1-100-2-2-2-21111111112222-1-1-1-1-1-1-1-1-10000000000000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000000002-2000i3−i3-11000
χ3822-2-22222-1-22-2-2-2-211-2-2-2-22222-1-1-1-1-111111111-1-1-1-100-2-2-2-21111111112222-1-1-1-1-1-1-1-1-10000000000000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i30000000000000000000-22000−i3i31-1000
χ3922-2-22-1-1-122-2-2111-2-2-21112-1-1-122-1-1-1-2-21111112-1-1-1002-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111000033−3−333−3−333−3−300000000000033−3−333−3−333−3−333−3−333−3−333−3−32i−2i02i−2i−ii−ii−ii00−i3i3−i3i3−i3i3000000000000
χ4022-2-22-1-1-122-2-2111-2-2-21112-1-1-122-1-1-1-2-21111112-1-1-1002-1-1-1222-1-1-1-1-1-1-2111-2-2-2111111000033−3−333−3−333−3−300000000000033−3−333−3−333−3−333−3−333−3−333−3−3−2i2i0−2i2ii−ii−ii−i00i3−i3i3−i3i3−i3000000000000
χ4122-2-22-1-1-122-2-2111-2-2-21112-1-1-122-1-1-1-2-21111112-1-1-1002-1-1-1222-1-1-1-1-1-1-2111-2-2-21111110000−3−333−3−333−3−333000000000000−3−333−3−333−3−333−3−333−3−333−3−3332i−2i02i−2i−ii−ii−ii00i3−i3i3−i3i3−i3000000000000
χ4222-2-22-1-1-122-2-2111-2-2-21112-1-1-122-1-1-1-2-21111112-1-1-1002-1-1-1222-1-1-1-1-1-1-2111-2-2-21111110000−3−333−3−333−3−333000000000000−3−333−3−333−3−333−3−333−3−333−3−333−2i2i0−2i2ii−ii−ii−i00−i3i3−i3i3−i3i3000000000000
χ4322-2-2-12-1-122-21-211-2-21-211-12-1-12-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-2111133−3−3000033−3−3−3−333000033−3−333−3−30000000033−3−333−3−3−3−333−3−3332i−2i0−ii2i−2i−ii−ii−i3i300−i3i3i3−i3000000000000
χ4422-2-2-12-1-122-21-211-2-21-211-12-1-12-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-2111133−3−3000033−3−3−3−333000033−3−333−3−30000000033−3−333−3−3−3−333−3−333−2i2i0i−i−2i2ii−ii−ii3−i300i3−i3−i3i3000000000000
χ4522-2-2-12-1-122-21-211-2-21-211-12-1-12-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-21111−3−3330000−3−33333−3−30000−3−333−3−33300000000−3−333−3−33333−3−333−3−32i−2i0−ii2i−2i−ii−iii3−i300i3−i3−i3i3000000000000
χ4622-2-2-12-1-122-21-211-2-21-211-12-1-12-12-1-111-2-21111-12-1-100-12-1-12-1-122-1-1-1-11-211-211-2-21111−3−3330000−3−33333−3−30000−3−333−3−33300000000−3−333−3−33333−3−333−3−3−2i2i0i−i−2i2ii−ii−i−i3i300−i3i3i3−i3000000000000
χ4722-2-2-1-12-122-211-21-2-211-21-1-12-12-1-12-11111-2-211-1-12-100-1-12-12-1-1-1-122-1-111-21-21111-2-21133−3−3−3−333000033−3−3000033−3−333−3−3−3−333−3−3330000000033−3−333−3−32i−2i0−ii−ii2i−2i−ii−i3i3i3−i300−i3i3000000000000
χ4822-2-2-1-12-122-211-21-2-211-21-1-12-12-1-12-11111-2-211-1-12-100-1-12-12-1-1-1-122-1-111-21-21111-2-21133−3−3−3−333000033−3−3000033−3−333−3−3−3−333−3−3330000000033−3−333−3−3−2i2i0i−ii−i−2i2ii−ii3−i3−i3i300i3−i3000000000000
χ4922-2-2-1-12-122-211-21-2-211-21-1-12-12-1-12-11111-2-211-1-12-100-1-12-12-1-1-1-122-1-111-21-21111-2-211−3−33333−3−30000−3−3330000−3−333−3−33333−3−333−3−300000000−3−333−3−3332i−2i0−ii−ii2i−2i−iii3−i3−i3i300i3−i3000000000000
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χ1394-4-44-24-2-2-2002-422-22-24-2-22-42221-2111-1-221-11-1-12-1-1−2i22i200000−3i3i00−3i3i3i−3i000003i−3i003i−3i−3i3ii2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000
χ1404-4-44-24-2-2-2002-422-22-24-2-22-42221-2111-1-221-11-1-12-1-12i2−2i2000003i−3i003i−3i−3i3i00000−3i3i00−3i3i3i−3i−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ230000000000000000000000000000000
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χ1424-4-44-2-24-240022-424-4-2-24-222-42-4-2-24-2-22-224-4-2222-42−2i22i200000000000000000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000
χ1434-4-44-2-24-240022-424-4-2-24-222-42-4-2-24-2-22-224-4-2222-422i2−2i200000000000000000000000000−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000
χ1444-4-44-2-24-2-20022-42-22-2-24-222-42211-211-11-1-221-1-1-12-1−2i22i2000003i−3i−3i3i003i−3i00000−3i3i3i−3i00−3i3ii2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ230000000000000000000000000000000
χ1454-4-44-2-24-2-20022-42-22-2-24-222-42211-211-11-1-221-1-1-12-1−2i22i200000−3i3i3i−3i00−3i3i000003i−3i−3i3i003i−3ii2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23i2−i2i2−i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ230000000000000000000000000000000
χ1464-4-44-2-24-2-20022-42-22-2-24-222-42211-211-11-1-221-1-1-12-12i2−2i2000003i−3i−3i3i003i−3i00000−3i3i3i−3i00−3i3i−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−i2i2−i2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ230000000000000000000000000000000
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χ1504-4-44-2-2-24-200222-4-22-2-2-24222-42111-21-11-11-1-22-1-1-12−2i22i2000003i−3i3i−3i−3i3i0000000−3i3i−3i3i3i−3i00i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000
χ1514-4-44-2-2-24-200222-4-22-2-2-24222-42111-21-11-11-1-22-1-1-12−2i22i200000−3i3i−3i3i3i−3i00000003i−3i3i−3i−3i3i00i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i22i2−2i22i2i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23i2−i2i2−i2i2−i2i2−i20000000000000000000000000000000
χ1524-4-44-2-2-24-200222-4-22-2-2-24222-42111-21-11-11-1-22-1-1-122i2−2i2000003i−3i3i−3i−3i3i0000000−3i3i−3i3i3i−3i00−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000
χ1534-4-44-2-2-24-200222-4-22-2-2-24222-42111-21-11-11-1-22-1-1-122i2−2i200000−3i3i−3i3i3i−3i00000003i−3i3i−3i−3i3i00−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i2−2i22i2−2i2−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000

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