Finite Group Databasebeta

← Group #72231384

Character table — Group #72231384

Order 2400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444442525252550505050505050505050150150150150150150150150
order12223446661212121255555510101010101010101010101010101010101015151515151515151515151520202020202020202020202020202020202020202020202030303030303030303030303030303030303030303030303030303030303030303030303060606060606060606060606060606060606060606060606060606060606060606060606060606060606060606060606022224466661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111-1-1111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1
χ611111-1-1111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111
χ711111-1-1111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii
χ811111-1-1111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i
χ911-1-11i−i1-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-11-1i−i11-1-1ii−i−i1-1i−i1-1i−i
χ1011-1-11i−i1-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-11-1i−i11-1-1ii−i−i-11−ii-11−ii
χ1111-1-11i−i1-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11-11−ii-1-111−i−iiii−i-11−ii1-1
χ1211-1-11i−i1-1-1ii−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11-11−ii-1-111−i−iii−ii1-1i−i-11
χ1311-1-11−ii1-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii1-11-1−ii11-1-1−i−iii1-1−ii1-1−ii
χ1411-1-11−ii1-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii1-11-1−ii11-1-1−i−iii-11i−i-11i−i
χ1511-1-11−ii1-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii-11-11i−i-1-111ii−i−ii−i1-1−ii-11
χ1611-1-11−ii1-1-1−i−iii111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii-11-11i−i-1-111ii−i−i−ii-11i−i1-1
χ172222-122-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-100000000
χ182222-122-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111100000000
χ192222-1-2-2-1-1-11111222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111112222-2-2-1-1-1-1111100000000
χ202222-1-2-2-1-1-11111222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-2-2-2-2221111-1-1-1-100000000
χ2122-2-2-12i−2i-111−i−iii222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii2-22-22i−2i-1-111−i−iii00000000
χ2222-2-2-12i−2i-111−i−iii222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii-22-22−2i2i11-1-1ii−i−i00000000
χ2322-2-2-1−2i2i-111ii−i−i222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i2-22-2−2i2i-1-111ii−i−i00000000
χ2422-2-2-1−2i2i-111ii−i−i222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-22-222i−2i11-1-1−i−iii00000000
χ252-22-2200-22-20000222222-2-2-2-2-2-2222222-2-2-2-2-2-2222222222222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-2002-22-2000000000000
χ262-22-2200-22-20000222222-2-2-2-2-2-2222222-2-2-2-2-2-2222222222222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-22200-22-22000000000000
χ272-22-2-1001-113−33−3222222-2-2-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111333333333333−3−3−3−3−3−3−3−3−3−3−3−3333333333333−3−3−3−3−3−3−3−3−3−3−3−322-2-200-11-113−33−300000000
χ282-22-2-1001-113−33−3222222-2-2-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111333333333333−3−3−3−3−3−3−3−3−3−3−3−3333333333333−3−3−3−3−3−3−3−3−3−3−3−3-2-222001-11-1−33−3300000000
χ292-22-2-1001-11−33−33222222-2-2-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−3−3−3−3−3−3−3−3−3−3−3−3333333333333−3−3−3−3−3−3−3−3−3−3−3−333333333333322-2-200-11-11−33−3300000000
χ302-22-2-1001-11−33−33222222-2-2-2-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−3−3−3−3−3−3−3−3−3−3−3−3333333333333−3−3−3−3−3−3−3−3−3−3−3−3333333333333-2-222001-11-13−33−300000000
χ312-2-22200-2-220000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000000000002-2-22002-2-22000000000000
χ322-2-22200-2-220000222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000000000000000000000000000-222-200-222-2000000000000
χ332-2-22-10011-1−i3i3i3−i3222222-2-2-2-2-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i32-2-2200-111-1−i3i3i3−i300000000
χ342-2-22-10011-1−i3i3i3−i3222222-2-2-2-2-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3-222-2001-1-11i3−i3−i3i300000000
χ352-2-22-10011-1i3−i3−i3i3222222-2-2-2-2-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i32-2-2200-111-1i3−i3−i3i300000000
χ362-2-22-10011-1i3−i3−i3i3222222-2-2-2-2-2-2-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1i3i3i3i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3i3i3i3i3-222-2001-1-11−i3i3i3−i300000000
χ37444444444444444-1-1-1-1-14-1-1-1-1-14-1-1-1-1-14-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-10000000000000000000000
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χ1734-4-44-20022-22i3−2i3−2i32i3-1-14-1-1-111-411111-4111-1-14-1-1-11−i1521+i1521−i1521+i152-2-21+i1521−i1521−i1521+i1521+i1521−i152−55−55005−5−555−55−55−500−555−5−55−1+i152−1−i152−1+i152−1−i15222−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1+i152−1−i15222−1−i152−1+i152−1+i152−1−i152−1−i152−1+i1521−i1521+i1521−i1521+i152-2-21+i1521−i1521−i1521+i1521+i1521−i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ462i32i3−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−2i3−2i3ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−2i3−2i3ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ462i32i3−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ580000000000000000000000
χ1744-4-44-20022-22i3−2i3−2i32i3-1-14-1-1-111-411111-4111-1-14-1-1-11+i1521−i1521+i1521−i152-2-21−i1521+i1521+i1521−i1521−i1521+i1525−55−500−555−5−55−55−55005−5−555−5−1−i152−1+i152−1−i152−1+i15222−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1−i152−1+i15222−1+i152−1−i152−1−i152−1+i152−1+i152−1−i1521+i1521−i1521+i1521−i152-2-21−i1521+i1521+i1521−i1521−i1521+i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ582i32i3−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−2i3−2i3ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−2i3−2i3ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ582i32i3−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ460000000000000000000000
χ1754-4-44-20022-22i3−2i3−2i32i3-1-1-14-1-1111-411111-411-1-1-14-1-11−i1521+i1521−i1521+i1521+i1521−i152-2-21+i1521−i1521−i1521+i152−55−555−5005−5−555−55−5−5500−555−5−1+i152−1−i152−1+i152−1−i152−1−i152−1+i15222−1−i152−1+i152−1+i152−1−i152−1+i152−1−i152−1+i152−1−i152−1−i152−1+i15222−1−i152−1+i152−1+i152−1−i1521−i1521+i1521−i1521+i1521+i1521−i152-2-21+i1521−i1521−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ582i32i3−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−2i3−2i3ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−2i3−2i3ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ582i32i3−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ460000000000000000000000
χ1764-4-44-20022-22i3−2i3−2i32i3-1-1-14-1-1111-411111-411-1-1-14-1-11+i1521−i1521+i1521−i1521−i1521+i152-2-21−i1521+i1521+i1521−i1525−55−5−5500−555−5−55−555−5005−5−55−1−i152−1+i152−1−i152−1+i152−1+i152−1−i15222−1+i152−1−i152−1−i152−1+i152−1−i152−1+i152−1−i152−1+i152−1+i152−1−i15222−1+i152−1−i152−1−i152−1+i1521+i1521−i1521+i1521−i1521−i1521+i152-2-21−i1521+i1521+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ462i32i3−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−2i3−2i3ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−2i3−2i3ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ462i32i3−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ580000000000000000000000
χ1774-4-44-20022-22i3−2i3−2i32i3-1-1-1-14-11111-411111-41-1-1-1-14-11−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i152-2-21−i1521+i152−555−5−555−500−555−5−555−5−55005−5−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i15222−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i15222−1+i152−1−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i152-2-21−i1521+i152−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ582i32i3−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−2i3−2i3ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−2i3−2i3ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ582i32i3−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ460000000000000000000000
χ1784-4-44-20022-22i3−2i3−2i32i3-1-1-1-14-11111-411111-41-1-1-1-14-11+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i152-2-21+i1521−i1525−5−555−5−55005−5−555−5−555−500−55−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i15222−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i15222−1−i152−1+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i152-2-21+i1521−i152−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ462i32i3−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−2i3−2i3ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−2i3−2i3ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ462i32i3−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ580000000000000000000000
χ1794-4-44-20022-22i3−2i3−2i32i3-1-1-1-1-1411111-411111-4-1-1-1-1-141−i1521+i1521+i1521−i1521+i1521−i1521−i1521+i1521−i1521+i152-2-2−555−55−5−55−55005−5−55−555−55−500−1+i152−1−i152−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152−1+i152−1−i15222−1+i152−1−i152−1−i152−1+i152−1−i152−1+i152−1+i152−1−i152−1+i152−1−i152221−i1521+i1521+i1521−i1521+i1521−i1521−i1521+i1521−i1521+i152-2-2−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ462i32i3ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−2i3−2i3ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46−2i3−2i3−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ462i32i30000000000000000000000
χ1804-4-44-20022-22i3−2i3−2i32i3-1-1-1-1-1411111-411111-4-1-1-1-1-141+i1521−i1521−i1521+i1521−i1521+i1521+i1521−i1521+i1521−i152-2-25−5−55−555−55−500−555−55−5−55−5500−1−i152−1+i152−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152−1−i152−1+i15222−1−i152−1+i152−1+i152−1−i152−1+i152−1−i152−1−i152−1+i152−1−i152−1+i152221+i1521−i1521−i1521+i1521−i1521+i1521+i1521−i1521+i1521−i152-2-2−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ582i32i3ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−2i3−2i3ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58ζ2−ζ34+ζ38−ζ46ζ14−ζ22+ζ26−ζ58−2i3−2i3−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ58−ζ2+ζ34−ζ38+ζ46−ζ14+ζ22−ζ26+ζ582i32i30000000000000000000000

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