Finite Group Databasebeta

← Group #13087045

Character table — Group #13087045

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444410101010101010101010101010101010101010101010101010101010101010101010101036363636363636363636180180
order122222333355666666666666666666666666666610101010101010101010151515151515151530303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030304444121212121212121212121212121212121212121212121212121212121212121224101010102020202024
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1
χ61111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-11
χ71111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11111-1-1-1-1-11
χ81111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-1-1-1-111111-1
χ92222222222−1−52−1+522222222222222222222222222222−1−52−1−52−1+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+5200000000000000000000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200
χ102222222222−1−52−1+522222222222222222222222222222−1−52−1−52−1+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+52000000000000000000000000000000000000-2-21+521+521−521−521+521+521−521−5200
χ112222222222−1+52−1−522222222222222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200
χ122222222222−1+52−1−522222222222222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000000000-2-21−521−521+521+521−521−521+521+5200
χ132222222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122222222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ142222222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122222222222-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-2111111111111000000000000
χ15222222-12-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-12222222222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ16222222-12-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-12222222222-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111-2-2-2-211111111000000000000
χ17222222-1-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-12222222222-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000
χ18222222-1-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-12222222222-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-2-2-2-2111111111111-2-2-2-21111000000000000
χ19222222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122222222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000
χ20222222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-122222222222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2000000000000
χ212222-2-22222−1−52−1+5222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−520000000000000000000000000000000000002-2−1−52−1−52−1+52−1+521+521+521−521−5200
χ222222-2-22222−1−52−1+5222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−52000000000000000000000000000000000000-221+521+521−521−52−1−52−1−52−1+52−1+5200
χ232222-2-22222−1+52−1−5222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+520000000000000000000000000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+5200
χ242222-2-22222−1+52−1−5222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222−1+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+52000000000000000000000000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−5200
χ252222-2-22-1-1-12222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1222222-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000
χ262222-2-22-1-1-12222-1-1-1-1-1-1-2-2-2-21111111111112-1-1-1222222-2-2-2-22-1-1-12-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ272222-2-2-12-1-122-1-122-1-1-1-11111-2-2-2-211111111-12-1-1222222-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000
χ282222-2-2-12-1-122-1-122-1-1-1-11111-2-2-2-211111111-12-1-1222222-2-2-2-2-12-1-1-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2221111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ292222-2-2-1-12-122-1-1-1-122-1-111111111-2-2-2-21111-1-12-1222222-2-2-2-2-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-2111122-2-2-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000
χ302222-2-2-1-12-122-1-1-1-122-1-111111111-2-2-2-21111-1-12-1222222-2-2-2-2-1-12-1-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-111111111-2-2-2-2111111111111-2-2-2-21111-2-22211111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000
χ312222-2-2-1-1-1222-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12222222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000
χ322222-2-2-1-1-1222-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12222222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111111-2-2-2-2111111111111-2-2-2-2-2-222111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000
χ3322-2-2002222222-22-22-22-20000000000000000-2-2-2-22-22-2-2-20000222222222-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-200000000000000000000000000000000002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000
χ3422-2-2002222222-22-22-22-20000000000000000-2-2-2-22-22-2-2-20000222222222-2-22-2-22-2-22-2-22-2-22-2-22-2-22-2-20000000000000000000000000000000000−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000
χ3522-2-2002-1-1-1222-2-11-11-110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-21112-22-2-2-200002-1-1-12-1-1-12-2-2-111-111-1112-2-2-111-111-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002i−2i000033−3−333−3−333−3−32i2i−2i−2i−i−iii−i−iii−i−iii000000000000
χ3622-2-2002-1-1-1222-2-11-11-110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-21112-22-2-2-200002-1-1-12-1-1-12-2-2-111-111-1112-2-2-111-111-1110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300−2i2i0000−3−333−3−333−3−333−2i−2i2i2iii−i−iii−i−iii−i−i000000000000
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χ1434-44-400-2-2-24−1−5−1+5222222-4-4−2i32i3−2i32i3−2i32i3−2i32i32i3−2i32i3−2i30000-2-2-241+5−1−51−5−1+51+51−500001+521+521+52−1−51−521−521−52−1+5−1−521+52−1−52−1−521+52−1−52−1−521+52−1−521+5−1−51+5−1+521−52−1+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000000000000000000000000000000000000000000000000000
χ1444-44-400-2-2-24−1−5−1+5222222-4-42i3−2i32i3−2i32i3−2i32i3−2i3−2i32i3−2i32i30000-2-2-241+5−1−51−5−1+51+51−500001+521+521+52−1−51−521−521−52−1+5−1−521+52−1−52−1−521+52−1−52−1−521+52−1−521+5−1−51+5−1+521−52−1+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000000000000000000000000000000000000000000000000000
χ1454-44-400-2-2-24−1+5−1−5222222-4-4−2i32i3−2i32i3−2i32i3−2i32i32i3−2i32i3−2i30000-2-2-241−5−1+51+5−1−51−51+500001−521−521−52−1+51+521+521+52−1−5−1+521−52−1+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5−1−521+52−1−52−1−521+52−1−52−1−521+52−1−521+5−1−51+5ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ580000ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ460000000000000000000000000000000000000000000000000000
χ1464-44-400-2-2-24−1+5−1−5222222-4-42i3−2i32i3−2i32i3−2i32i3−2i3−2i32i3−2i32i30000-2-2-241−5−1+51+5−1−51−51+500001−521−521−52−1+51+521+521+52−1−5−1+521−52−1+52−1+521−52−1+52−1+521−52−1+521−5−1+51−5−1−521+52−1−52−1−521+52−1−52−1−521+52−1−521+5−1−51+5−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ580000−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ460000000000000000000000000000000000000000000000000000
χ1474-4-444-44-2-2-2−1−5−1+5-442-22-22-24-4-44-222-2-222-2-222-2-42221+51+51−51−5−1−5−1+5−1−51+5−1+51−5−1−51+521+521+52−1+51−521−521−521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52000000000000000000000000000000000000000000000000
χ1484-4-444-44-2-2-2−1+5−1−5-442-22-22-24-4-44-222-2-222-2-222-2-42221−51−51+51+5−1+5−1−5−1+51−5−1−51+5−1+51−521−521−52−1−51+521+521+521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52000000000000000000000000000000000000000000000000
χ1494-4-444-4-24-2-2−1−5−1+52-2-442-22-2-222-24-4-44-222-2-222-22-4221+51+51−51−5−1−5−1+5−1−51+5−1+51−51+52−1−51+521+521−52−1+51−521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−52000000000000000000000000000000000000000000000000
χ1504-4-444-4-24-2-2−1+5−1−52-2-442-22-2-222-24-4-44-222-2-222-22-4221−51−51+51+5−1+5−1−5−1+51−5−1−51+51−52−1+51−521−521+52−1−51+521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521−52−1+52−1+521−521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521+52−1−52−1−521+52000000000000000000000000000000000000000000000000
χ1514-4-444-4-2-24-2−1−5−1+52-22-2-442-2-222-2-222-24-4-44-222-222-421+51+51−51−5−1−5−1+5−1−51+5−1+51−51+521+52−1−51+521−521−52−1+51−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−52000000000000000000000000000000000000000000000000
χ1524-4-444-4-2-24-2−1+5−1−52-22-2-442-2-222-2-222-24-4-44-222-222-421−51−51+51+5−1+5−1−5−1+51−5−1−51+51−521−52−1+51−521+521+52−1−51+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51−52−1+52−1+521−521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51+52−1−52−1−521+52000000000000000000000000000000000000000000000000
χ1534-4-444-4-2-2-24−1−5−1+52-22-22-2-44-222-2-222-2-222-24-4-44222-41+51+51−51−5−1−5−1+5−1−51+5−1+51−51+521+521+52−1−51−521−521−52−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+5000000000000000000000000000000000000000000000000
χ1544-4-444-4-2-2-24−1+5−1−52-22-22-2-44-222-2-222-2-222-24-4-44222-41−51−51+51+5−1+5−1−5−1+51−5−1−51+51−521−521−52−1+51+521+521+52−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−51−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−52−1+51−51−5−1+51+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+52−1−51+51+5−1−5000000000000000000000000000000000000000000000000
χ1554-4-44-444-2-2-2−1−5−1+5-442-22-22-2-444-42-2-222-2-222-2-22-42221+51+51−51−5−1−5−1+51+5−1−51−5−1+5−1−51+521+521+52−1+51−521−521−521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52000000000000000000000000000000000000000000000000
χ1564-4-44-444-2-2-2−1+5−1−5-442-22-22-2-444-42-2-222-2-222-2-22-42221−51−51+51+5−1+5−1−51−5−1+51+5−1−5−1+51−521−521−52−1−51+521+521+521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52000000000000000000000000000000000000000000000000
χ1574-4-44-44-24-2-2−1−5−1+52-2-442-22-22-2-22-444-42-2-222-2-222-4221+51+51−51−5−1−5−1+51+5−1−51−5−1+51+52−1−51+521+521−52−1+51−521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52000000000000000000000000000000000000000000000000
χ1584-4-44-44-24-2-2−1+5−1−52-2-442-22-22-2-22-444-42-2-222-2-222-4221−51−51+51+5−1+5−1−51−5−1+51+5−1−51−52−1+51−521−521+52−1−51+521+52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1+52−1+521−52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1−52−1−521+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1+521−521−52−1+52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1−521+521+52−1−52000000000000000000000000000000000000000000000000
χ1594-4-44-44-2-24-2−1−5−1+52-22-2-442-22-2-222-2-22-444-42-2-2222-421+51+51−51−5−1−5−1+51+5−1−51−5−1+51+521+52−1−51+521−521−52−1+51−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52000000000000000000000000000000000000000000000000
χ1604-4-44-44-2-24-2−1+5−1−52-22-2-442-22-2-222-2-22-444-42-2-2222-421−51−51+51+5−1+5−1−51−5−1+51+5−1−51−521−52−1+51−521+521+52−1−51+52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1+52−1+521−52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1−52−1−521+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1+521−521−52−1+52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1−521+521+52−1−52000000000000000000000000000000000000000000000000
χ1614-4-44-44-2-2-24−1−5−1+52-22-22-2-442-2-222-2-222-2-22-444-4222-41+51+51−51−5−1−5−1+51+5−1−51−5−1+51+521+521+52−1−51−521−521−52−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5000000000000000000000000000000000000000000000000
χ1624-4-44-44-2-2-24−1+5−1−52-22-22-2-442-2-222-2-222-2-22-444-4222-41−51−51+51+5−1+5−1−51−5−1+51+5−1−51−521−521−52−1+51+521+521+52−1−5−1+52−1+521−52−1+52−1+521−52−1+52−1+521−521−51−5−1+5−1−52−1−521+52−1−52−1−521+52−1−52−1−521+521+51+5−1−5−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−5−1+5−1+51−5−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+5−1−5−1−51+5000000000000000000000000000000000000000000000000

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