Finite Group Databasebeta

← Group #13089361

Character table — Group #13089361

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222266662222444444444412121212222244444444441212121222224444444444121212122222444444444412121212222244444444441212121222224444444444121212122222444444444412121212151515153030303030303030303090909090
order124423466612121212224436121263126661212121266121251020201015203030306060606010102020510202010152030303060606060101020201530606030156030303060606060303060601530606030156030303060606060303060601530606030156030303060606060303060601530606030156030303060606060303060602244264666121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ31111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1
χ41111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11
χ511-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11
χ611-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1
χ711-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1
χ811-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111
χ922222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000
χ102222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000
χ1122-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000
χ1222-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000
χ132-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i000000
χ142-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−30000
χ152-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−330000
χ162-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i000000
χ172-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−330000
χ182-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−30000
χ19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ211111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1-1-1-1-11-1111-1-1-111-11-11
χ221111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11-1-1-1-11-1111-1-1-1111-11-1
χ2311-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11-1-111-1-11-1-1-11111-111-1
χ2411-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1-1-111-1-11-1-1-111111-1-11
χ2511-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1-1-1111-1-111-111-1-1-1-111
χ2611-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111-1-1111-1-111-111-1-111-1-1
χ2722222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000-2-2-2-2-21-211111110000
χ282222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000-2-2-2-2212-1-1111-1-10000
χ2922-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000-2-222-212111-1-1-1-10000
χ3022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000-2-22221-2-1-11-1-1110000
χ312-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i000000-22−2i2i0-20002−2i2i000000
χ322-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−30000-22−2i2i010i3−i3-1i−i−330000
χ332-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−330000-22−2i2i010−i3i3-1i−i3−30000
χ342-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i000000-222i−2i0-200022i−2i000000
χ352-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−330000-222i−2i010i3−i3-1−ii3−30000
χ362-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−30000-222i−2i010−i3i3-1−ii−330000
χ37222222222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000
χ3822222222222222-2-2-2-222222222222222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52000000000000000000
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χ1574-44i−4i04000-44i−4i000000-22−2i2i0-20002−2i2i000000−1−51+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590−1−50001+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000−1+51−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470−1+50001−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000−2ζ26−2ζ342ζ26+2ζ342ζ11+2ζ19−2ζ11−2ζ190−2ζ26−2ζ340002ζ26+2ζ342ζ11+2ζ19−2ζ11−2ζ19000000−2ζ14−2ζ462ζ14+2ζ462ζ31+2ζ59−2ζ31−2ζ590−2ζ14−2ζ460002ζ14+2ζ462ζ31+2ζ59−2ζ31−2ζ59000000−2ζ22−2ζ382ζ22+2ζ382ζ7+2ζ23−2ζ7−2ζ230−2ζ22−2ζ380002ζ22+2ζ382ζ7+2ζ23−2ζ7−2ζ23000000−2ζ2−2ζ582ζ2+2ζ582ζ43+2ζ47−2ζ43−2ζ470−2ζ2−2ζ580002ζ2+2ζ582ζ43+2ζ47−2ζ43−2ζ47000000000000000000000000
χ1584-44i−4i0-20−2i32i32−2i2i23−230000-22−2i2i010i3−i3-1i−i−330000−1−51+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5901+520ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−1+51−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4701−520ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000−2ζ26−2ζ342ζ26+2ζ342ζ11+2ζ19−2ζ11−2ζ190ζ26+ζ340−2ζ14+ζ26−ζ34+2ζ462ζ14−ζ26+ζ34−2ζ46−ζ26−ζ34−ζ11−ζ19ζ11+ζ19−ζ11+ζ19−2ζ31+2ζ59ζ11−ζ19+2ζ31−2ζ590000−2ζ14−2ζ462ζ14+2ζ462ζ31+2ζ59−2ζ31−2ζ590ζ14+ζ460ζ14−2ζ26+2ζ34−ζ46−ζ14+2ζ26−2ζ34+ζ46−ζ14−ζ46−ζ31−ζ59ζ31+ζ592ζ11−2ζ19+ζ31−ζ59−2ζ11+2ζ19−ζ31+ζ590000−2ζ22−2ζ382ζ22+2ζ382ζ7+2ζ23−2ζ7−2ζ230ζ22+ζ380−2ζ2−ζ22+ζ38+2ζ582ζ2+ζ22−ζ38−2ζ58−ζ22−ζ38−ζ7−ζ23ζ7+ζ23ζ7−ζ23−2ζ43+2ζ47−ζ7+ζ23+2ζ43−2ζ470000−2ζ2−2ζ582ζ2+2ζ582ζ43+2ζ47−2ζ43−2ζ470ζ2+ζ580ζ2+2ζ22−2ζ38−ζ58−ζ2−2ζ22+2ζ38+ζ58−ζ2−ζ58−ζ43−ζ47ζ43+ζ47−2ζ7+2ζ23+ζ43−ζ472ζ7−2ζ23−ζ43+ζ470000000000000000000000
χ1594-44i−4i0-202i3−2i32−2i2i−23230000-22−2i2i010−i3i3-1i−i3−30000−1−51+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5901+520−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−1+51−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4701−520−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−2ζ26−2ζ342ζ26+2ζ342ζ11+2ζ19−2ζ11−2ζ190ζ26+ζ3402ζ14−ζ26+ζ34−2ζ46−2ζ14+ζ26−ζ34+2ζ46−ζ26−ζ34−ζ11−ζ19ζ11+ζ19ζ11−ζ19+2ζ31−2ζ59−ζ11+ζ19−2ζ31+2ζ590000−2ζ14−2ζ462ζ14+2ζ462ζ31+2ζ59−2ζ31−2ζ590ζ14+ζ460−ζ14+2ζ26−2ζ34+ζ46ζ14−2ζ26+2ζ34−ζ46−ζ14−ζ46−ζ31−ζ59ζ31+ζ59−2ζ11+2ζ19−ζ31+ζ592ζ11−2ζ19+ζ31−ζ590000−2ζ22−2ζ382ζ22+2ζ382ζ7+2ζ23−2ζ7−2ζ230ζ22+ζ3802ζ2+ζ22−ζ38−2ζ58−2ζ2−ζ22+ζ38+2ζ58−ζ22−ζ38−ζ7−ζ23ζ7+ζ23−ζ7+ζ23+2ζ43−2ζ47ζ7−ζ23−2ζ43+2ζ470000−2ζ2−2ζ582ζ2+2ζ582ζ43+2ζ47−2ζ43−2ζ470ζ2+ζ580−ζ2−2ζ22+2ζ38+ζ58ζ2+2ζ22−2ζ38−ζ58−ζ2−ζ58−ζ43−ζ47ζ43+ζ472ζ7−2ζ23−ζ43+ζ47−2ζ7+2ζ23+ζ43−ζ470000000000000000000000
χ1604-4−4i4i04000-4−4i4i000000-222i−2i0-200022i−2i000000−1−51+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590−1−50001+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000−1+51−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470−1+50001−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000−2ζ26−2ζ342ζ26+2ζ34−2ζ11−2ζ192ζ11+2ζ190−2ζ26−2ζ340002ζ26+2ζ34−2ζ11−2ζ192ζ11+2ζ19000000−2ζ14−2ζ462ζ14+2ζ46−2ζ31−2ζ592ζ31+2ζ590−2ζ14−2ζ460002ζ14+2ζ46−2ζ31−2ζ592ζ31+2ζ59000000−2ζ22−2ζ382ζ22+2ζ38−2ζ7−2ζ232ζ7+2ζ230−2ζ22−2ζ380002ζ22+2ζ38−2ζ7−2ζ232ζ7+2ζ23000000−2ζ2−2ζ582ζ2+2ζ58−2ζ43−2ζ472ζ43+2ζ470−2ζ2−2ζ580002ζ2+2ζ58−2ζ43−2ζ472ζ43+2ζ47000000000000000000000000
χ1614-4−4i4i0-20−2i32i322i−2i−23230000-222i−2i010i3−i3-1−ii3−30000−1−51+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5901+520ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−1+51−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4701−520ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000−2ζ26−2ζ342ζ26+2ζ34−2ζ11−2ζ192ζ11+2ζ190ζ26+ζ340−2ζ14+ζ26−ζ34+2ζ462ζ14−ζ26+ζ34−2ζ46−ζ26−ζ34ζ11+ζ19−ζ11−ζ19ζ11−ζ19+2ζ31−2ζ59−ζ11+ζ19−2ζ31+2ζ590000−2ζ14−2ζ462ζ14+2ζ46−2ζ31−2ζ592ζ31+2ζ590ζ14+ζ460ζ14−2ζ26+2ζ34−ζ46−ζ14+2ζ26−2ζ34+ζ46−ζ14−ζ46ζ31+ζ59−ζ31−ζ59−2ζ11+2ζ19−ζ31+ζ592ζ11−2ζ19+ζ31−ζ590000−2ζ22−2ζ382ζ22+2ζ38−2ζ7−2ζ232ζ7+2ζ230ζ22+ζ380−2ζ2−ζ22+ζ38+2ζ582ζ2+ζ22−ζ38−2ζ58−ζ22−ζ38ζ7+ζ23−ζ7−ζ23−ζ7+ζ23+2ζ43−2ζ47ζ7−ζ23−2ζ43+2ζ470000−2ζ2−2ζ582ζ2+2ζ58−2ζ43−2ζ472ζ43+2ζ470ζ2+ζ580ζ2+2ζ22−2ζ38−ζ58−ζ2−2ζ22+2ζ38+ζ58−ζ2−ζ58ζ43+ζ47−ζ43−ζ472ζ7−2ζ23−ζ43+ζ47−2ζ7+2ζ23+ζ43−ζ470000000000000000000000
χ1624-4−4i4i0-202i3−2i322i−2i23−230000-222i−2i010−i3i3-1−ii−330000−1−51+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5901+520−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−1+51−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4701−520−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000−2ζ26−2ζ342ζ26+2ζ34−2ζ11−2ζ192ζ11+2ζ190ζ26+ζ3402ζ14−ζ26+ζ34−2ζ46−2ζ14+ζ26−ζ34+2ζ46−ζ26−ζ34ζ11+ζ19−ζ11−ζ19−ζ11+ζ19−2ζ31+2ζ59ζ11−ζ19+2ζ31−2ζ590000−2ζ14−2ζ462ζ14+2ζ46−2ζ31−2ζ592ζ31+2ζ590ζ14+ζ460−ζ14+2ζ26−2ζ34+ζ46ζ14−2ζ26+2ζ34−ζ46−ζ14−ζ46ζ31+ζ59−ζ31−ζ592ζ11−2ζ19+ζ31−ζ59−2ζ11+2ζ19−ζ31+ζ590000−2ζ22−2ζ382ζ22+2ζ38−2ζ7−2ζ232ζ7+2ζ230ζ22+ζ3802ζ2+ζ22−ζ38−2ζ58−2ζ2−ζ22+ζ38+2ζ58−ζ22−ζ38ζ7+ζ23−ζ7−ζ23ζ7−ζ23−2ζ43+2ζ47−ζ7+ζ23+2ζ43−2ζ470000−2ζ2−2ζ582ζ2+2ζ58−2ζ43−2ζ472ζ43+2ζ470ζ2+ζ580−ζ2−2ζ22+2ζ38+ζ58ζ2+2ζ22−2ζ38−ζ58−ζ2−ζ58ζ43+ζ47−ζ43−ζ47−2ζ7+2ζ23+ζ43−ζ472ζ7−2ζ23−ζ43+ζ470000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.