Finite Group Databasebeta

← Group #13145717

Character table — Group #13145717

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818181818181818181818181818727272727272727272727272
order12442333466666888812121212121212122424242424242424333336666666666666666612121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424161616161616161648484848484848484848484848484848246688121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511-1-1-11111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-111i−i-1-1ii−i−i
χ611-1-1-11111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-1−ii11−i−iii
χ711-1-1-11111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-111−ii-1-1−i−iii
χ811-1-1-11111-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-1-1i−i11ii−i−i
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ102222222-122222-1222222-1-12222222222222-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-100-1-10000
χ112222222-122222-1222222-1-12222222222222-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-21100110000
χ122222222-122222-1-2-2-2-222-1-12222-2-2-2-2-2-2-2-22-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111111111100000000000000000000000000−i3i300−i3i30000
χ132222222-122222-1-2-2-2-222-1-12222-2-2-2-2-2-2-2-22-1-1-1-12-122-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111111111100000000000000000000000000i3−i300i3−i30000
χ14222222-122222-122222222222-1-122222222-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002200-1-1-1-1
χ15222222-122222-122222222222-1-122222222-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2001111
χ16222222-122222-12-2-2-2-2222222-1-1-2-2-2-2-2-2-2-2-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111100000000000000000000000000000000−i3i3−i3i3
χ17222222-122222-12-2-2-2-2222222-1-1-2-2-2-2-2-2-2-2-12-1-1-1-12-1-122-1-1-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111100000000000000000000000000000000i3−i3i3−i3
χ1822222-1222-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1922222-1222-1-1-1222222-1-122-1-122-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ2022222-1222-1-1-122-2-2-2-2-1-122-1-12211111111-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2-2-211111111-2-21111-2-21111-2-2-2-211111111000000003333−3−3−3−33333−3−3−3−3000000000000
χ2122222-1222-1-1-122-2-2-2-2-1-122-1-12211111111-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2-2-211111111-2-21111-2-21111-2-2-2-21111111100000000−3−3−3−33333−3−3−3−33333000000000000
χ222222-2222-2-2-222200002222-2-2220000000022222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000022−2−222−2−222−2−222−2−222−2−222−2−2000000000000
χ232222-2222-2-2-222200002222-2-2220000000022222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2−222−2−222−2−222−2−222−2−222−2−222000000000000
χ242222-2-122-211-1220000-1-122112233−3−333−3−3-1-12-1-1-2-21111-2-21111-1-12-1-1-1-1-1-122-1-1-1-1-2-21111-2-211110033−3−30033−3−300003333−3−3−3−30033−3−30033−3−300003333−3−3−3−322−2−222−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46000000000000
χ252222-2-122-211-1220000-1-122112233−3−333−3−3-1-12-1-1-2-21111-2-21111-1-12-1-1-1-1-1-122-1-1-1-1-2-21111-2-211110033−3−30033−3−300003333−3−3−3−30033−3−30033−3−300003333−3−3−3−3−2−222−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46000000000000
χ262222-2-122-211-1220000-1-1221122−3−333−3−333-1-12-1-1-2-21111-2-21111-1-12-1-1-1-1-1-122-1-1-1-1-2-21111-2-2111100−3−33300−3−3330000−3−3−3−3333300−3−33300−3−3330000−3−3−3−3333322−2−222−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14000000000000
χ272222-2-122-211-1220000-1-1221122−3−333−3−333-1-12-1-1-2-21111-2-21111-1-12-1-1-1-1-1-122-1-1-1-1-2-21111-2-2111100−3−33300−3−3330000−3−3−3−3333300−3−33300−3−3330000−3−3−3−33333−2−222−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14000000000000
χ2822-2-22222-2222220000-2-2-2-2-2-2-2-2000000002222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ2922-2-22222-2222220000-2-2-2-2-2-2-2-2000000002222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ3022-2-22-122-2-1-1-122000011-2-211-2-233−3−3−3−333-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-11111-2-21111-2-21111-2-211110033−3−30033−3−300003333−3−3−3−300−3−33300−3−3330000−3−3−3−33333−i2−i2i2i2i2i2−i2−i2ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14000000000000
χ3122-2-22-122-2-1-1-122000011-2-211-2-233−3−3−3−333-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-11111-2-21111-2-21111-2-211110033−3−30033−3−300003333−3−3−3−300−3−33300−3−3330000−3−3−3−33333i2i2−i2−i2−i2−i2i2i2−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14000000000000
χ3222-2-22-122-2-1-1-122000011-2-211-2-2−3−33333−3−3-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-11111-2-21111-2-21111-2-2111100−3−33300−3−3330000−3−3−3−333330033−3−30033−3−300003333−3−3−3−3−i2−i2i2i2i2i2−i2−i2ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46000000000000
χ3322-2-22-122-2-1-1-122000011-2-211-2-2−3−33333−3−3-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-11111-2-21111-2-21111-2-2111100−3−33300−3−3330000−3−3−3−333330033−3−30033−3−300003333−3−3−3−3i2i2−i2−i2−i2−i2i2i2−ζ10−ζ14−ζ10−ζ14ζ10+ζ14ζ10+ζ14−ζ26−ζ46−ζ26−ζ46ζ26+ζ46ζ26+ζ46ζ10+ζ14ζ10+ζ14−ζ10−ζ14−ζ10−ζ14ζ26+ζ46ζ26+ζ46−ζ26−ζ46−ζ26−ζ46000000000000
χ3422-2-2-22222-2-2222-2-222-2-2-2-222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222000000000000000000000000000000000000
χ3522-2-2-222-12-2-222-122-2-2-2-21122-2-22222-2-2-2-22-1-1-1-1-21-2-2111111112-1-1-1-1-2-2111111112-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111110000000000000000000000002-2-1-100110000
χ3622-2-2-222-12-2-222-122-2-2-2-21122-2-22222-2-2-2-22-1-1-1-1-21-2-2111111112-1-1-1-1-2-2111111112-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111000000000000000000000000-221100-1-10000
χ3722-2-2-222-12-2-222-1-2-222-2-21122-2-2-2-2-2-222222-1-1-1-1-21-2-2111111112-1-1-1-1-2-2111111112-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000−i3i300i3−i30000
χ3822-2-2-222-12-2-222-1-2-222-2-21122-2-2-2-2-2-222222-1-1-1-1-21-2-2111111112-1-1-1-1-2-2111111112-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000i3−i300−i3i30000
χ3922-2-2-22-122-2-22-1222-2-2-2-2-2-222112222-2-2-2-2-12-1-1-11-211-2-2111111-12-1-1-111-2-2111111-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1111111-2-2-2-2-2-211111111111100000000000000000000000000002i−2i00−i−iii
χ4022-2-2-22-122-2-22-1222-2-2-2-2-2-222112222-2-2-2-2-12-1-1-11-211-2-2111111-12-1-1-111-2-2111111-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1111111-2-2-2-2-2-21111111111110000000000000000000000000000−2i2i00ii−i−i
χ4122-2-2-22-122-2-22-12-2-222-2-2-2-22211-2-2-2-22222-12-1-1-11-211-2-2111111-12-1-1-111-2-2111111-12-1-122-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000003−3−33
χ4222-2-2-22-122-2-22-12-2-222-2-2-2-22211-2-2-2-22222-12-1-1-11-211-2-2111111-12-1-1-111-2-2111111-12-1-122-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000−333−3
χ4322-2-2-2-122211-12222-2-211-2-2-1-1-2-2-1-1-1-11111-1-12-1-1-2-21111-2-21111-1-12-1-11111-2-2111122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-2111111112i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ4422-2-2-2-122211-12222-2-211-2-2-1-1-2-2-1-1-1-11111-1-12-1-1-2-21111-2-21111-1-12-1-11111-2-2111122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-211111111−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i000000000000
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χ1554-4−4i4i0-2-2-20−2i32i322222−222i2−2i22i−2i2i−2i−23232i−2i2ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14−2ζ10−2ζ142ζ10+2ζ14−2ζ26−2ζ462ζ26+2ζ46111−1−3i32−1+3i3200i3−i3i3−i33-3−3−i323−i323+i32−3+i32-1-1-11+3i321−3i32−ii−ii−iiζ28−2ζ44−2ζ28+ζ44−ζ28+2ζ442ζ28−ζ44003−33−3−3i3i−ζ28−2ζ442ζ28+ζ44ζ28+2ζ44−2ζ28−ζ44−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462ζ26+ζ46−ζ26−2ζ46−2ζ26−ζ46ζ26+2ζ46−ζ10−2ζ142ζ10+ζ14ζ10+2ζ14−2ζ10−ζ14−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14−2ζ10+ζ14−ζ10+2ζ142ζ10−ζ14−2ζ26+ζ46ζ26−2ζ462ζ26−ζ46−ζ26+2ζ46000000000000000000000000000000000000
χ1564-4−4i4i0-2-2-20−2i32i322222−222i2−2i22i−2i2i−2i−23232i−2i2ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ14−2ζ10−2ζ142ζ10+2ζ14−2ζ26−2ζ462ζ26+2ζ46111−1+3i32−1−3i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32-1-1-11−3i321+3i32−ii−ii−ii−2ζ28+ζ44ζ28−2ζ442ζ28−ζ44−ζ28+2ζ44003−33−33i−3i2ζ28+ζ44−ζ28−2ζ44−2ζ28−ζ44ζ28+2ζ44−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−ζ26−2ζ462ζ26+ζ46ζ26+2ζ46−2ζ26−ζ462ζ10+ζ14−ζ10−2ζ14−2ζ10−ζ14ζ10+2ζ14−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14ζ10−2ζ142ζ10−ζ14−ζ10+2ζ14ζ26−2ζ46−2ζ26+ζ46−ζ26+2ζ462ζ26−ζ46000000000000000000000000000000000000
χ1574-4−4i4i0-2-2-20−2i32i3222−2222−2i22i22i−2i2i−2i−23232i−2i−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ142ζ10+2ζ14−2ζ10−2ζ142ζ26+2ζ46−2ζ26−2ζ46111−1−3i32−1+3i3200i3−i3i3−i33-3−3−i323−i323+i32−3+i32-1-1-11+3i321−3i32−ii−ii−iiζ28−2ζ44−2ζ28+ζ44−ζ28+2ζ442ζ28−ζ44003−33−3−3i3i−ζ28−2ζ442ζ28+ζ44ζ28+2ζ44−2ζ28−ζ442−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ142−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ142ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ26−ζ46ζ26+2ζ462ζ26+ζ46−ζ26−2ζ46ζ10+2ζ14−2ζ10−ζ14−ζ10−2ζ142ζ10+ζ14i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ142ζ10−ζ14ζ10−2ζ14−2ζ10+ζ142ζ26−ζ46−ζ26+2ζ46−2ζ26+ζ46ζ26−2ζ46000000000000000000000000000000000000
χ1584-4−4i4i0-2-2-20−2i32i3222−2222−2i22i22i−2i2i−2i−23232i−2i−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ142ζ10+2ζ14−2ζ10−2ζ142ζ26+2ζ46−2ζ26−2ζ46111−1+3i32−1−3i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32-1-1-11−3i321+3i32−ii−ii−ii−2ζ28+ζ44ζ28−2ζ442ζ28−ζ44−ζ28+2ζ44003−33−33i−3i2ζ28+ζ44−ζ28−2ζ44−2ζ28−ζ44ζ28+2ζ442−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ142−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ26+2ζ46−2ζ26−ζ46−ζ26−2ζ462ζ26+ζ46−2ζ10−ζ14ζ10+2ζ142ζ10+ζ14−ζ10−2ζ14i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14−ζ10+2ζ14−2ζ10+ζ14ζ10−2ζ14−ζ26+2ζ462ζ26−ζ46ζ26−2ζ46−2ζ26+ζ46000000000000000000000000000000000000
χ1594-4−4i4i0-2-2-202i3−2i322222−222i2−2i22i−2i2i−2i23−232i−2i2ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46−2ζ26−2ζ462ζ26+2ζ46−2ζ10−2ζ142ζ10+2ζ14111−1−3i32−1+3i3200−i3i3−i3i3-333+i32−3+i32−3−i323−i32-1-1-11+3i321−3i32−ii−ii−iiζ28−2ζ44−2ζ28+ζ44−ζ28+2ζ442ζ28−ζ4400−33−333i−3iζ28+2ζ44−2ζ28−ζ44−ζ28−2ζ442ζ28+ζ44−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ142ζ10+ζ14ζ10+2ζ14−2ζ10−ζ142ζ26+ζ46−ζ26−2ζ46−2ζ26−ζ46ζ26+2ζ46−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ142ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ26+ζ46ζ26−2ζ462ζ26−ζ46−ζ26+2ζ46ζ10−2ζ14−2ζ10+ζ14−ζ10+2ζ142ζ10−ζ14000000000000000000000000000000000000
χ1604-4−4i4i0-2-2-202i3−2i322222−222i2−2i22i−2i2i−2i23−232i−2i2ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ46−2ζ26−2ζ462ζ26+2ζ46−2ζ10−2ζ142ζ10+2ζ14111−1+3i32−1−3i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32-1-1-11−3i321+3i32−ii−ii−ii−2ζ28+ζ44ζ28−2ζ442ζ28−ζ44−ζ28+2ζ4400−33−33−3i3i−2ζ28−ζ44ζ28+2ζ442ζ28+ζ44−ζ28−2ζ44−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14−ζ10−2ζ14−2ζ10−ζ14ζ10+2ζ14−ζ26−2ζ462ζ26+ζ46ζ26+2ζ46−2ζ26−ζ46−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ26−2ζ46−2ζ26+ζ46−ζ26+2ζ462ζ26−ζ46−2ζ10+ζ14ζ10−2ζ142ζ10−ζ14−ζ10+2ζ14000000000000000000000000000000000000
χ1614-4−4i4i0-2-2-202i3−2i3222−2222−2i22i22i−2i2i−2i23−232i−2i−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ462ζ26+2ζ46−2ζ26−2ζ462ζ10+2ζ14−2ζ10−2ζ14111−1−3i32−1+3i3200−i3i3−i3i3-333+i32−3+i32−3−i323−i32-1-1-11+3i321−3i32−ii−ii−iiζ28−2ζ44−2ζ28+ζ44−ζ28+2ζ442ζ28−ζ4400−33−333i−3iζ28+2ζ44−2ζ28−ζ44−ζ28−2ζ442ζ28+ζ442−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ462−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14−2ζ10−ζ14−ζ10−2ζ142ζ10+ζ14−2ζ26−ζ46ζ26+2ζ462ζ26+ζ46−ζ26−2ζ46i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ462ζ26−ζ46−ζ26+2ζ46−2ζ26+ζ46ζ26−2ζ46−ζ10+2ζ142ζ10−ζ14ζ10−2ζ14−2ζ10+ζ14000000000000000000000000000000000000
χ1624-4−4i4i0-2-2-202i3−2i3222−2222−2i22i22i−2i2i−2i23−232i−2i−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ462ζ26+2ζ46−2ζ26−2ζ462ζ10+2ζ14−2ζ10−2ζ14111−1+3i32−1−3i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32-1-1-11−3i321+3i32−ii−ii−ii−2ζ28+ζ44ζ28−2ζ442ζ28−ζ44−ζ28+2ζ4400−33−33−3i3i−2ζ28−ζ44ζ28+2ζ442ζ28+ζ44−ζ28−2ζ442−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ462−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14ζ10+2ζ142ζ10+ζ14−ζ10−2ζ14ζ26+2ζ46−2ζ26−ζ46−ζ26−2ζ462ζ26+ζ46i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−ζ26+2ζ462ζ26−ζ46ζ26−2ζ46−2ζ26+ζ462ζ10−ζ14−ζ10+2ζ14−2ζ10+ζ14ζ10−2ζ14000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.