Finite Group Databasebeta

← Group #14413847

Character table — Group #14413847

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11111111222222222222444444444444444466666666121212122222222244444444444488888888888888881212121212121212242424242222222244444444444488888888888888881212121212121212242424245555555510101010101010101010101020202020202020202020202020202020303030303030303060606060
order12224444344446661212121224446612121212121212121212888888888888510101020202020152020202030303060606060102020203030606060606060606060604040404040404040404040405101010202020201520202020303030606060601020202030306060606060606060606040404040404040404040404022224444644446661212121224446612121212121212121212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ6111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ7111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i
χ101111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iii−ii−ii1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iii−ii−ii1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iii−ii−ii1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iii−ii−ii
χ111111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111ii−i−iii−i−i−ii−ii1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111ii−i−iii−i−i−ii−ii1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111ii−i−iii−i−i−ii−ii1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111ii−i−iii−i−i−ii−ii
χ121111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111−i−iii−i−iiii−ii−i1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111−i−iii−i−iiii−ii−i1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111−i−iii−i−iiii−ii−i1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111−i−iii−i−iiii−ii−i
χ131111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii
χ141111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111−i−iiiii−i−i−iii−i1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111−i−iiiii−i−i−iii−i1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111−i−iiiii−i−i−iii−i1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111−i−iiiii−i−i−iii−i
χ151111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i−i−iii−iii−i1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i−i−iii−iii−i1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i−i−iii−iii−i1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i−i−iii−iii−i
χ161111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iiiii−i−ii−i−ii1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iiiii−i−ii−i−ii1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iiiii−i−ii−i−ii1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iiiii−i−ii−i−ii
χ1722222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1822222222-12222-1-1-1-1-1-1-1-2-2-2-211-1-1-1-111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-211-1-1-1-111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-211-1-1-1-111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-211-1-1-1-1111111000000000000
χ1922222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-11111-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-11111-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-11111-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-11111-1-11111000000000000
χ2022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000
χ212222-2-2-2-2-122-2-2-1-1-111112-22-2-1-1-1-11111-1-1110000000000002222-2-2-2-2-122-2-2-1-1-111112-22-2-1-1-1-11111-1-1110000000000002222-2-2-2-2-122-2-2-1-1-111112-22-2-1-1-1-11111-1-1110000000000002222-2-2-2-2-122-2-2-1-1-111112-22-2-1-1-1-11111-1-111000000000000
χ222222-2-2-2-2-122-2-2-1-1-11111-22-2211-1-111-1-111-1-10000000000002222-2-2-2-2-122-2-2-1-1-11111-22-2211-1-111-1-111-1-10000000000002222-2-2-2-2-122-2-2-1-1-11111-22-2211-1-111-1-111-1-10000000000002222-2-2-2-2-122-2-2-1-1-11111-22-2211-1-111-1-111-1-1000000000000
χ232222-2-2-2-2-1-2-222-1-1-111112-2-22-1-111-1-11111-1-10000000000002222-2-2-2-2-1-2-222-1-1-111112-2-22-1-111-1-11111-1-10000000000002222-2-2-2-2-1-2-222-1-1-111112-2-22-1-111-1-11111-1-10000000000002222-2-2-2-2-1-2-222-1-1-111112-2-22-1-111-1-11111-1-1000000000000
χ242222-2-2-2-2-1-2-222-1-1-11111-222-21111-1-1-1-1-1-1110000000000002222-2-2-2-2-1-2-222-1-1-11111-222-21111-1-1-1-1-1-1110000000000002222-2-2-2-2-1-2-222-1-1-11111-222-21111-1-1-1-1-1-1110000000000002222-2-2-2-2-1-2-222-1-1-11111-222-21111-1-1-1-1-1-111000000000000
χ2522-2-222-2-222i−2i2i−2i2-2-222-2-20000002i−2i2i−2i00000000000000000022-2-222-2-222i−2i2i−2i2-2-222-2-20000002i−2i2i−2i00000000000000000022-2-222-2-222i−2i2i−2i2-2-222-2-20000002i−2i2i−2i00000000000000000022-2-222-2-222i−2i2i−2i2-2-222-2-20000002i−2i2i−2i000000000000000000
χ2622-2-222-2-22−2i2i−2i2i2-2-222-2-2000000−2i2i−2i2i00000000000000000022-2-222-2-22−2i2i−2i2i2-2-222-2-2000000−2i2i−2i2i00000000000000000022-2-222-2-22−2i2i−2i2i2-2-222-2-2000000−2i2i−2i2i00000000000000000022-2-222-2-22−2i2i−2i2i2-2-222-2-2000000−2i2i−2i2i000000000000000000
χ2722-2-222-2-2-12i−2i2i−2i-111-1-1110000−i3i3−ii−ii−i3i33−33−300000000000022-2-222-2-2-12i−2i2i−2i-111-1-1110000−i3i3−ii−ii−i3i33−33−300000000000022-2-222-2-2-12i−2i2i−2i-111-1-1110000−i3i3−ii−ii−i3i33−33−300000000000022-2-222-2-2-12i−2i2i−2i-111-1-1110000−i3i3−ii−ii−i3i33−33−3000000000000
χ2822-2-222-2-2-12i−2i2i−2i-111-1-1110000i3−i3−ii−iii3−i3−33−3300000000000022-2-222-2-2-12i−2i2i−2i-111-1-1110000i3−i3−ii−iii3−i3−33−3300000000000022-2-222-2-2-12i−2i2i−2i-111-1-1110000i3−i3−ii−iii3−i3−33−3300000000000022-2-222-2-2-12i−2i2i−2i-111-1-1110000i3−i3−ii−iii3−i3−33−33000000000000
χ2922-2-222-2-2-1−2i2i−2i2i-111-1-1110000−i3i3i−ii−i−i3i3−33−3300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000−i3i3i−ii−i−i3i3−33−3300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000−i3i3i−ii−i−i3i3−33−3300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000−i3i3i−ii−i−i3i3−33−33000000000000
χ3022-2-222-2-2-1−2i2i−2i2i-111-1-1110000i3−i3i−ii−ii3−i33−33−300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000i3−i3i−ii−ii3−i33−33−300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000i3−i3i−ii−ii3−i33−33−300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000i3−i3i−ii−ii3−i33−33−3000000000000
χ3122-2-2-2-22222i−2i−2i2i2-2-2-2-2220000002i−2i−2i2i00000000000000000022-2-2-2-22222i−2i−2i2i2-2-2-2-2220000002i−2i−2i2i00000000000000000022-2-2-2-22222i−2i−2i2i2-2-2-2-2220000002i−2i−2i2i00000000000000000022-2-2-2-22222i−2i−2i2i2-2-2-2-2220000002i−2i−2i2i000000000000000000
χ3222-2-2-2-2222−2i2i2i−2i2-2-2-2-222000000−2i2i2i−2i00000000000000000022-2-2-2-2222−2i2i2i−2i2-2-2-2-222000000−2i2i2i−2i00000000000000000022-2-2-2-2222−2i2i2i−2i2-2-2-2-222000000−2i2i2i−2i00000000000000000022-2-2-2-2222−2i2i2i−2i2-2-2-2-222000000−2i2i2i−2i000000000000000000
χ3322-2-2-2-222-12i−2i−2i2i-11111-1-10000−i3i3−iii−ii3−i33−3−3300000000000022-2-2-2-222-12i−2i−2i2i-11111-1-10000−i3i3−iii−ii3−i33−3−3300000000000022-2-2-2-222-12i−2i−2i2i-11111-1-10000−i3i3−iii−ii3−i33−3−3300000000000022-2-2-2-222-12i−2i−2i2i-11111-1-10000−i3i3−iii−ii3−i33−3−33000000000000
χ3422-2-2-2-222-12i−2i−2i2i-11111-1-10000i3−i3−iii−i−i3i3−333−300000000000022-2-2-2-222-12i−2i−2i2i-11111-1-10000i3−i3−iii−i−i3i3−333−300000000000022-2-2-2-222-12i−2i−2i2i-11111-1-10000i3−i3−iii−i−i3i3−333−300000000000022-2-2-2-222-12i−2i−2i2i-11111-1-10000i3−i3−iii−i−i3i3−333−3000000000000
χ3522-2-2-2-222-1−2i2i2i−2i-11111-1-10000−i3i3i−i−iii3−i3−333−300000000000022-2-2-2-222-1−2i2i2i−2i-11111-1-10000−i3i3i−i−iii3−i3−333−300000000000022-2-2-2-222-1−2i2i2i−2i-11111-1-10000−i3i3i−i−iii3−i3−333−300000000000022-2-2-2-222-1−2i2i2i−2i-11111-1-10000−i3i3i−i−iii3−i3−333−3000000000000
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χ372-22-22i−2i2i−2i20000-22-22i−2i2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002-22-22i−2i2i−2i20000-22-22i−2i2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002-22-22i−2i2i−2i20000-22-22i−2i2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ10900002-22-22i−2i2i−2i20000-22-22i−2i2i−2i000000000000000000002ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ119−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ119−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ1092ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ1090000
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χ402-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ11900002-22-2−2i2i−2i2i20000-22-2−2i2i−2i2i000000000000000000002ζ13+2ζ29+2ζ37+2ζ53+2ζ61+2ζ77+2ζ101+2ζ109−2ζ13−2ζ29−2ζ37−2ζ53−2ζ61−2ζ77−2ζ101−2ζ109−2ζ7−2ζ23−2ζ31−2ζ47−2ζ71−2ζ79−2ζ103−2ζ1192ζ7+2ζ23+2ζ31+2ζ47+2ζ71+2ζ79+2ζ103+2ζ1190000
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χ454-44-44i−4i4i−4i-200002-22−2i2i−2i2i00000000000000000000000000004-44-44i−4i4i−4i-200002-22−2i2i−2i2i00000000000000000000000000004-44-44i−4i4i−4i-200002-22−2i2i−2i2i00000000000000000000000000004-44-44i−4i4i−4i-200002-22−2i2i−2i2i0000000000000000000000000000
χ464-44-4−4i4i−4i4i-200002-222i−2i2i−2i00000000000000000000000000004-44-4−4i4i−4i4i-200002-222i−2i2i−2i00000000000000000000000000004-44-4−4i4i−4i4i-200002-222i−2i2i−2i00000000000000000000000000004-44-4−4i4i−4i4i-200002-222i−2i2i−2i0000000000000000000000000000
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χ49111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ50111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ5211111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1
χ53111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-111
χ54111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-1
χ55111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ56111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ571111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1ii−i−iii−i−ii−ii−i-1-1-1-11111-1-1-111-1-1-11111-11-11-1-1-1-11111-1-111−i−iii−i−iii−ii−ii
χ581111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iii−ii−ii1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iii−ii−ii1111-1-1-1-1111-1-1111-1-1-1-11-11-11111-1-1-1-111-1-1−i−iii−i−iii−ii−ii-1-1-1-11111-1-1-111-1-1-11111-11-11-1-1-1-11111-1-111ii−i−iii−i−ii−ii−i
χ591111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111ii−i−iii−i−i−ii−ii1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111ii−i−iii−i−i−ii−ii1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111ii−i−iii−i−i−ii−ii-1-1-1-11111-1-1-111-1-1-111111-11-111-1-111-1-111-1-1−i−iii−i−iiii−ii−i
χ601111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111−i−iii−i−iiii−ii−i1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111−i−iii−i−iiii−ii−i1111-1-1-1-1111-1-1111-1-1-1-1-11-11-1-111-1-111-1-111−i−iii−i−iiii−ii−i-1-1-1-11111-1-1-111-1-1-111111-11-111-1-111-1-111-1-1ii−i−iii−i−i−ii−ii
χ611111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii-1-1-1-11111-111-1-1-1-1-11111-111-1-1-111-1-11111-1-1−i−iiiii−i−i−iii−i
χ621111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111−i−iiiii−i−i−iii−i1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111−i−iiiii−i−i−iii−i1111-1-1-1-11-1-111111-1-1-1-11-1-1111-1-111-1-1-1-111−i−iiiii−i−i−iii−i-1-1-1-11111-111-1-1-1-1-11111-111-1-1-111-1-11111-1-1ii−i−i−i−iiii−i−ii
χ631111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i−i−iii−iii−i1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i−i−iii−iii−i1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1ii−i−i−i−iii−iii−i-1-1-1-11111-111-1-1-1-1-111111-1-111111-1-1-1-1-1-111−i−iiiii−i−ii−i−ii
χ641111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iiiii−i−ii−i−ii1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iiiii−i−ii−i−ii1111-1-1-1-11-1-111111-1-1-1-1-111-1-1-1-1-1111111-1-1−i−iiiii−i−ii−i−ii-1-1-1-11111-111-1-1-1-1-111111-1-111111-1-1-1-1-1-111ii−i−i−i−iii−iii−i
χ6522222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000022222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2111111111111000000000000
χ6622222222-12222-1-1-1-1-1-1-1-2-2-2-211-1-1-1-111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-211-1-1-1-111111100000000000022222222-12222-1-1-1-1-1-1-1-2-2-2-211-1-1-1-1111111000000000000-2-2-2-2-2-2-2-21-2-2-2-211111112222-1-11111-1-1-1-1-1-1000000000000
χ6722222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-11111-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-11111-1-1111100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-122-2-2-1-11111-1-11111000000000000-2-2-2-2-2-2-2-2122221111111-2-22211-1-1-1-111-1-1-1-1000000000000
χ6822222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000000022222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000-2-2-2-2-2-2-2-212222111111122-2-2-1-1-1-1-1-1-1-11111000000000000
χ692222-2-2-2-2-122-2-2-1-1-111112-22-2-1-1-1-11111-1-1110000000000002222-2-2-2-2-122-2-2-1-1-111112-22-2-1-1-1-11111-1-1110000000000002222-2-2-2-2-122-2-2-1-1-111112-22-2-1-1-1-11111-1-111000000000000-2-2-2-222221-2-222111-1-1-1-1-22-221111-1-1-1-111-1-1000000000000
χ702222-2-2-2-2-122-2-2-1-1-11111-22-2211-1-111-1-111-1-10000000000002222-2-2-2-2-122-2-2-1-1-11111-22-2211-1-111-1-111-1-10000000000002222-2-2-2-2-122-2-2-1-1-11111-22-2211-1-111-1-111-1-1000000000000-2-2-2-222221-2-222111-1-1-1-12-22-2-1-111-1-111-1-111000000000000
χ712222-2-2-2-2-1-2-222-1-1-111112-2-22-1-111-1-11111-1-10000000000002222-2-2-2-2-1-2-222-1-1-111112-2-22-1-111-1-11111-1-10000000000002222-2-2-2-2-1-2-222-1-1-111112-2-22-1-111-1-11111-1-1000000000000-2-2-2-22222122-2-2111-1-1-1-1-222-211-1-111-1-1-1-111000000000000
χ722222-2-2-2-2-1-2-222-1-1-11111-222-21111-1-1-1-1-1-1110000000000002222-2-2-2-2-1-2-222-1-1-11111-222-21111-1-1-1-1-1-1110000000000002222-2-2-2-2-1-2-222-1-1-11111-222-21111-1-1-1-1-1-111000000000000-2-2-2-22222122-2-2111-1-1-1-12-2-22-1-1-1-1111111-1-1000000000000
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χ7422-2-222-2-22−2i2i−2i2i2-2-222-2-2000000−2i2i−2i2i00000000000000000022-2-222-2-22−2i2i−2i2i2-2-222-2-2000000−2i2i−2i2i00000000000000000022-2-222-2-22−2i2i−2i2i2-2-222-2-2000000−2i2i−2i2i000000000000000000-2-222-2-222-22i−2i2i−2i-222-2-2220000002i−2i2i−2i000000000000000000
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χ7622-2-222-2-2-12i−2i2i−2i-111-1-1110000i3−i3−ii−iii3−i3−33−3300000000000022-2-222-2-2-12i−2i2i−2i-111-1-1110000i3−i3−ii−iii3−i3−33−3300000000000022-2-222-2-2-12i−2i2i−2i-111-1-1110000i3−i3−ii−iii3−i3−33−33000000000000-2-222-2-2221−2i2i−2i2i1-1-111-1-10000−i3i3i−ii−i−i3i33−33−3000000000000
χ7722-2-222-2-2-1−2i2i−2i2i-111-1-1110000−i3i3i−ii−i−i3i3−33−3300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000−i3i3i−ii−i−i3i3−33−3300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000−i3i3i−ii−i−i3i3−33−33000000000000-2-222-2-22212i−2i2i−2i1-1-111-1-10000i3−i3−ii−iii3−i33−33−3000000000000
χ7822-2-222-2-2-1−2i2i−2i2i-111-1-1110000i3−i3i−ii−ii3−i33−33−300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000i3−i3i−ii−ii3−i33−33−300000000000022-2-222-2-2-1−2i2i−2i2i-111-1-1110000i3−i3i−ii−ii3−i33−33−3000000000000-2-222-2-22212i−2i2i−2i1-1-111-1-10000−i3i3−ii−ii−i3i3−33−33000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.