Finite Group Databasebeta

← Group #13158271

Character table — Group #13158271

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234
size111111112222222222222222444444444444444444444444441212121212121212121212121212121212121212121212123636363611111111222222222222222244444444444444444444444444121212121212121212121212121212121212121212121212363636361111111122222222222222224444444444444444444444444412121212121212121212121212121212121212121212121236363636
order122222223366666666666666344666666612121212121212121212121212121212224444446666121212121212121212121212444436666666336666666666666631212666666612121212121212121212121212121212661212121212126666121212121212121212121212121212123666666633666666666666663121266666661212121212121212121212121212121266121212121212666612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-11111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ9222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000
χ10222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000
χ11222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000
χ12222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000
χ1322222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000
χ1422222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111000022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000
χ1522222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-11111000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-11111000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-111110000
χ1622222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-1000022222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-10000
χ17222-2-2-2-222222-2-2222-2-2-2-22-2-222i−2i222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000222-2-2-2-222222-2-2222-2-2-2-22-2-222i−2i222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000222-2-2-2-222222-2-2222-2-2-2-22-2-222i−2i222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ18222-2-2-2-222222-2-2222-2-2-2-22-2-22−2i2i222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000222-2-2-2-222222-2-2222-2-2-2-22-2-22−2i2i222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000222-2-2-2-222222-2-2222-2-2-2-22-2-22−2i2i222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ19222-2-2-2-222-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000−i3−i3i3i333−3−3000000000000222-2-2-2-222-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000−i3−i3i3i333−3−3000000000000222-2-2-2-222-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000−i3−i3i3i333−3−3000000000000
χ20222-2-2-2-222-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000i3i3−i3−i3−3−333000000000000222-2-2-2-222-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000i3i3−i3−i3−3−333000000000000222-2-2-2-222-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000i3i3−i3−i3−3−333000000000000
χ21222-2-2-2-222-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−i3−i3i3i3−3−333000000000000222-2-2-2-222-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−i3−i3i3i3−3−333000000000000222-2-2-2-222-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−i3−i3i3i3−3−333000000000000
χ22222-2-2-2-222-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000i3i3−i3−i333−3−3000000000000222-2-2-2-222-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000i3i3−i3−i333−3−3000000000000222-2-2-2-222-122-2-2-1-1-111-212-21-1−2i2i-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00000000i3i3−i3−i333−3−3000000000000
χ23222-2-2-2-22-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii000000000000000033−3−3−i3−i3i3i30000222-2-2-2-22-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii000000000000000033−3−3−i3−i3i3i30000222-2-2-2-22-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii000000000000000033−3−3−i3−i3i3i30000
χ24222-2-2-2-22-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−3−333i3i3−i3−i30000222-2-2-2-22-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−3−333i3i3−i3−i30000222-2-2-2-22-12-1-111222-2-21-2-11-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000−3−333i3i3−i3−i30000
χ25222-2-2-2-22-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i000000000000000033−3−3i3i3−i3−i30000222-2-2-2-22-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i000000000000000033−3−3i3i3−i3−i30000222-2-2-2-22-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i000000000000000033−3−3i3i3−i3−i30000
χ26222-2-2-2-22-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−3−333−i3−i3i3i30000222-2-2-2-22-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−3−333−i3−i3i3i30000222-2-2-2-22-12-1-111222-2-21-2-11-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000−3−333−i3−i3i3i30000
χ2722-222-2-2-2222-2-2-22-2-22-222-22-22002-2-22-2-2200000000000000000000000000000000000000002i−2i0022-222-2-2-2222-2-2-22-2-22-222-22-22002-2-22-2-2200000000000000000000000000000000000000002i−2i0022-222-2-2-2222-2-2-22-2-22-222-22-22002-2-22-2-2200000000000000000000000000000000000000002i−2i00
χ2822-222-2-2-2222-2-2-22-2-22-222-22-22002-2-22-2-220000000000000000000000000000000000000000−2i2i0022-222-2-2-2222-2-2-22-2-22-222-22-22002-2-22-2-220000000000000000000000000000000000000000−2i2i0022-222-2-2-2222-2-2-22-2-22-222-22-22002-2-22-2-220000000000000000000000000000000000000000−2i2i00
χ2922-2-2-222-2222-2222-2-2-22-2-2-2-222002-2-2-222-20000000000000000000000000000000000000000002i−2i22-2-2-222-2222-2222-2-2-22-2-2-2-222002-2-2-222-20000000000000000000000000000000000000000002i−2i22-2-2-222-2222-2222-2-2-22-2-2-2-222002-2-2-222-20000000000000000000000000000000000000000002i−2i
χ3022-2-2-222-2222-2222-2-2-22-2-2-2-222002-2-2-222-2000000000000000000000000000000000000000000−2i2i22-2-2-222-2222-2222-2-2-22-2-2-2-222002-2-2-222-2000000000000000000000000000000000000000000−2i2i22-2-2-222-2222-2222-2-2-22-2-2-2-222002-2-2-222-2000000000000000000000000000000000000000000−2i2i
χ312-222-2-22-222-222-2-22-2-2222-2-2-2200-22-2-22-22000000000000000000002i−2i00000000002i−2i2i−2i000000002-222-2-22-222-222-2-22-2-2222-2-2-2200-22-2-22-22000000000000000000002i−2i00000000002i−2i2i−2i000000002-222-2-22-222-222-2-22-2-2222-2-2-2200-22-2-22-22000000000000000000002i−2i00000000002i−2i2i−2i00000000
χ322-222-2-22-222-222-2-22-2-2222-2-2-2200-22-2-22-2200000000000000000000−2i2i0000000000−2i2i−2i2i000000002-222-2-22-222-222-2-22-2-2222-2-2-2200-22-2-22-2200000000000000000000−2i2i0000000000−2i2i−2i2i000000002-222-2-22-222-222-2-22-2-2222-2-2-2200-22-2-22-2200000000000000000000−2i2i0000000000−2i2i−2i2i00000000
χ332-222-2-22-2-121-1-11-22-2-22-1211-2-1001-111-11-1−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i0000000000−ii−ii3−33−300002-222-2-22-2-121-1-11-22-2-22-1211-2-1001-111-11-1−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i0000000000−ii−ii3−33−300002-222-2-22-2-121-1-11-22-2-22-1211-2-1001-111-11-1−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i0000000000−ii−ii3−33−30000
χ342-222-2-22-2-121-1-11-22-2-22-1211-2-1001-111-11-1−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i0000000000i−ii−i−33−3300002-222-2-22-2-121-1-11-22-2-22-1211-2-1001-111-11-1−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i0000000000i−ii−i−33−3300002-222-2-22-2-121-1-11-22-2-22-1211-2-1001-111-11-1−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i0000000000i−ii−i−33−330000
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χ90222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i30000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i30000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000
χ9122222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i320000
χ9222222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000
χ9322222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-111110000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i3−1+i31−i31−i3000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i3−1−i31+i31+i3000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000
χ9422222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-222000000001111-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i31−i3−1+i3−1+i300000000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i31+i3−1−i3−1−i300000000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000
χ95222-2-2-2-222222-2-2222-2-2-2-22-2-222i−2i222-2-2-2-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i32ζ7−2ζ7−1+i3−1+i3−1+i31−i31−i31−i31−i32ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ72ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ70000000000000000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i32ζ11−2ζ11−1−i3−1−i3−1−i31+i31+i31+i31+i32ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ112ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ110000000000000000000000000000
χ96222-2-2-2-222222-2-2222-2-2-2-22-2-22−2i2i222-2-2-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i3−1+i3−2ζ72ζ7−1+i3−1+i3−1+i31−i31−i31−i31−i3−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ72ζ72ζ7−2ζ7−2ζ7−2ζ7−2ζ72ζ72ζ72ζ72ζ70000000000000000000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i3−1−i3−2ζ112ζ11−1−i3−1−i3−1−i31+i31+i31+i31+i3−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ112ζ112ζ11−2ζ11−2ζ11−2ζ11−2ζ112ζ112ζ112ζ112ζ110000000000000000000000000000
χ97222-2-2-2-222-122-2-2-1-1-111-212-21-12i−2i-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00000000−i3−i3i3i333−3−3000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i32−1+i3−1+i31−i31−i31−i321−i321−i32−1+i32−1+i321−i3−1+i32−1+i31−i3−1+i321−i322ζ7−2ζ71−i321−i321−i32−1+i32−1+i32−1+i32−1+i322ζ72ζ7−2ζ7−2ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7000000003+i323+i32−3−i32−3−i32−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i32−1−i3−1−i31+i31+i31+i321+i321+i32−1−i32−1−i321+i3−1−i32−1−i31+i3−1−i321+i322ζ11−2ζ111+i321+i321+i32−1−i32−1−i32−1−i32−1−i322ζ112ζ11−2ζ11−2ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ1100000000−3+i32−3+i323−i323−i322ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11000000000000
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χ1621111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1−1−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1631111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1−1−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−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+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ1641111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111−1−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−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ165222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i300001+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i300001−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ166222222222-12222-1-1-1-1-12-122-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ167222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-211111111111122-2-20000-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i300001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i300001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ168222222222-12222-1-1-1-1-12-122-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200001111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i30000−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i30000−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
χ16922222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i3−1−i3−1−i3−1−i3000000001+i321+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i3−1+i3−1+i3−1+i3000000001−i321−i321−i321−i321−i321−i321−i321−i320000
χ17022222222-12-1-1-1-122222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i31+i31+i31+i300000000−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i31−i31−i31−i300000000−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000
χ17122222222-12-1-1-1-122222-12-1-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-211111111000022-2-200000000-1-1-1-111110000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i3−1−i31+i31+i3000000001+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i3−1+i31−i31−i3000000001−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.