Finite Group Databasebeta

← Group #13157190

Character table — Group #13157190

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444999918181818181818181818181818181818181818181818108108108108108108108108
order1222344666888812121212242424242424242433333366666666666666666612121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242444444488881212121212121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ911-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ1011-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−ii−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ1111-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−ii-1-111−i−i−i−iiiii-1-1-1-11111−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ1211-1-11-111-1-1ii−i−i-1-111iiii−i−i−i−i111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−ii−ii-1-111−i−i−i−iiiii-1-1-1-11111ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ1311-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiii−ii−ii−i-1-111iiii−i−i−i−i-1-1-1-11111ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ1411-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiii−ii−ii−i-1-111iiii−i−i−i−i-1-1-1-11111−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1511-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−ii−ii−ii11-1-1−i−i−i−iiiii1111-1-1-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1611-1-11-111-1-1−i−iii-1-111−i−i−i−iiiii111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−ii−ii−ii11-1-1−i−i−i−iiiii1111-1-1-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1722222-2-22220000-2-2-2-200000000222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002222-2-2000022-2-222-2-20000000000000000
χ1822222-2-22220000-2-2-2-200000000222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2220000-2-222-2-2220000000000000000
χ192222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ202222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2111111111111111100000000
χ212222-122-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111111111111222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ222222-122-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111111111111-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ232222-1-2-2-1-1-10000111133−3−333−3−322-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000033333333−3−3−3−3−3−3−3−30000000033333333−3−3−3−3−3−3−3−32222-2-20000-1-111-1-11133−3−333−3−300000000
χ242222-1-2-2-1-1-10000111133−3−333−3−322-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000033333333−3−3−3−3−3−3−3−30000000033333333−3−3−3−3−3−3−3−3-2-2-2-222000011-1-111-1-1−3−333−3−33300000000
χ252222-1-2-2-1-1-100001111−3−333−3−33322-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-21111111100000000−3−3−3−3−3−3−3−33333333300000000−3−3−3−3−3−3−3−3333333332222-2-20000-1-111-1-111−3−333−3−33300000000
χ262222-1-2-2-1-1-100001111−3−333−3−33322-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-21111111100000000−3−3−3−3−3−3−3−33333333300000000−3−3−3−3−3−3−3−333333333-2-2-2-222000011-1-111-1-133−3−333−3−300000000
χ2722-2-222-22-2-2000022-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000
χ2822-2-222-22-2-2000022-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ2922-2-2-12-2-1110000-1-111−i3−i3i3i3i3i3−i3−i322-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32i−2i2i−2i−2i2i0000−i−iiiii−i−i−3−33333−3−300000000
χ3022-2-2-12-2-1110000-1-111−i3−i3i3i3i3i3−i3−i322-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3−2i2i−2i2i2i−2i0000ii−i−i−i−iii33−3−3−3−33300000000
χ3122-2-2-12-2-1110000-1-111i3i3−i3−i3−i3−i3i3i322-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32i−2i2i−2i−2i2i0000−i−iiiii−i−i33−3−3−3−33300000000
χ3222-2-2-12-2-1110000-1-111i3i3−i3−i3−i3−i3i3i322-1-1-1-1-2-2-2-21111111122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−2i2i−2i2i2i−2i0000ii−i−i−i−iii−3−33333−3−300000000
χ3322-2-2-1-22-1112i2i−2i−2i11-1-1−i−i−i−iiiii22-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111112i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiii2i−2i2i−2i2i−2i22-2-2−i−i−i−iiiii-1-1-1-1111100000000
χ3422-2-2-1-22-1112i2i−2i−2i11-1-1−i−i−i−iiiii22-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111112i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiii−2i2i−2i2i−2i2i-2-222iiii−i−i−i−i1111-1-1-1-100000000
χ3522-2-2-1-22-111−2i−2i2i2i11-1-1iiii−i−i−i−i22-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i2i−2i2i−2i2i−2i-2-222−i−i−i−iiiii1111-1-1-1-100000000
χ3622-2-2-1-22-111−2i−2i2i2i11-1-1iiii−i−i−i−i22-1-1-1-1-2-2-2-21111111122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i2i−2i2i−2i2i22-2-2iiii−i−i−i−i-1-1-1-1111100000000
χ372-22-2200-22-22−22−200002−22−22−22−222222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222-2-2002−22−22-2002-2002−22−22−22−200000000
χ382-22-2200-22-22−22−200002−22−22−22−222222222-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2-2-22200−22−22-2200-2200−22−22−22−2200000000
χ392-22-2200-22-2−22−220000−22−22−22−2222222222-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2222222-2-200−22−222-2002-200−22−22−22−2200000000
χ402-22-2200-22-2−22−220000−22−22−22−2222222222-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222-2-222002−22−2-2200-22002−22−22−22−200000000
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χ1464-4-44-20022-2−2i22i22i2−2i2−232323−232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ71-2−1+3i32−1−3i3211-121-21−3i321+3i32-1-1−1+3i32−1−3i3211-121−3i321+3i32-1-1−3i3i00−2ζ14−ζ22ζ14+2ζ22−3−32ζ14+ζ22−ζ14−2ζ22333i−3i002ζ14+ζ22−ζ14−2ζ2233−2ζ14−ζ22ζ14+2ζ22−3−3ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ5+2ζ72ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5−2ζ7−2ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ5−2ζ7−2ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5+2ζ72ζ5−ζ7−ζ5−ζ7−ζ5−ζ70000000000000000000000000000000000
χ1474-4-44-20022-2−2i22i22i2−2i2−232323−232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-2111−1−3i32−1+3i322-1-21-1-11+3i321−3i3211−1−3i32−1+3i322-1-1-11+3i321−3i32003i−3i−3−3ζ14+2ζ22−2ζ14−ζ2233−ζ14−2ζ222ζ14+ζ2200−3i3i33−ζ14−2ζ222ζ14+ζ22−3−3ζ14+2ζ22−2ζ14−ζ22i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ23−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ7ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ7−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ23−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ7−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ70000000000000000000000000000000000
χ1484-4-44-20022-2−2i22i22i2−2i2−232323−232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-2111−1+3i32−1−3i322-1-21-1-11−3i321+3i3211−1+3i32−1−3i322-1-1-11−3i321+3i3200−3i3i−3−3−2ζ14−ζ22ζ14+2ζ22332ζ14+ζ22−ζ14−2ζ22003i−3i332ζ14+ζ22−ζ14−2ζ22−3−3−2ζ14−ζ22ζ14+2ζ22i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ23−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ7−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ70000000000000000000000000000000000
χ1494-4-44-20022-22i2−2i2−2i22i223−23−2323−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ231-2−1−3i32−1+3i3211-121-21+3i321−3i32-1-1−1−3i32−1+3i3211-121+3i321−3i32-1-1−3i3i00−ζ14−2ζ222ζ14+ζ2233ζ14+2ζ22−2ζ14−ζ22−3−33i−3i00ζ14+2ζ22−2ζ14−ζ22−3−3−ζ14−2ζ222ζ14+ζ2233−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2ζ5−2ζ7−2ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5+2ζ72ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2−ζ5+2ζ72ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5−2ζ7−2ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ230000000000000000000000000000000000
χ1504-4-44-20022-22i2−2i2−2i22i223−23−2323−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ231-2−1+3i32−1−3i3211-121-21−3i321+3i32-1-1−1+3i32−1−3i3211-121−3i321+3i32-1-13i−3i002ζ14+ζ22−ζ14−2ζ2233−2ζ14−ζ22ζ14+2ζ22−3−3−3i3i00−2ζ14−ζ22ζ14+2ζ22−3−32ζ14+ζ22−ζ14−2ζ22332ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i2−2ζ5+ζ7ζ5−2ζ7ζ5+ζ7ζ5+ζ72ζ5−ζ7−ζ5+2ζ7−ζ5−ζ7−ζ5−ζ7−2ζ13+ζ23ζ13−2ζ23ζ13+ζ23ζ13+ζ232ζ13−ζ23−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i22ζ5−ζ7−ζ5+2ζ7−ζ5−ζ7−ζ5−ζ7−2ζ5+ζ7ζ5−2ζ7ζ5+ζ7ζ5+ζ72ζ13−ζ23−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ23−2ζ13+ζ23ζ13−2ζ23ζ13+ζ23ζ13+ζ230000000000000000000000000000000000
χ1514-4-44-20022-22i2−2i2−2i22i223−23−2323−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-2111−1−3i32−1+3i322-1-21-1-11+3i321−3i3211−1−3i32−1+3i322-1-1-11+3i321−3i3200−3i3i33−ζ14−2ζ222ζ14+ζ22−3−3ζ14+2ζ22−2ζ14−ζ22003i−3i−3−3ζ14+2ζ22−2ζ14−ζ2233−ζ14−2ζ222ζ14+ζ22−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ7ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ7−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ230000000000000000000000000000000000
χ1524-4-44-20022-22i2−2i2−2i22i223−23−2323−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-2111−1+3i32−1−3i322-1-21-1-11−3i321+3i3211−1+3i32−1−3i322-1-1-11−3i321+3i32003i−3i332ζ14+ζ22−ζ14−2ζ22−3−3−2ζ14−ζ22ζ14+2ζ2200−3i3i−3−3−2ζ14−ζ22ζ14+2ζ22332ζ14+ζ22−ζ14−2ζ22−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ7−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ7ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ23−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ7ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ7−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ230000000000000000000000000000000000
χ1534-4-44-20022-22i2−2i2−2i22i2−232323−23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-2−1−3i32−1+3i3211-121-21+3i321−3i32-1-1−1−3i32−1+3i3211-121+3i321−3i32-1-13i−3i00ζ14+2ζ22−2ζ14−ζ22−3−3−ζ14−2ζ222ζ14+ζ2233−3i3i00−ζ14−2ζ222ζ14+ζ2233ζ14+2ζ22−2ζ14−ζ22−3−32ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i2−2ζ13+ζ23ζ13−2ζ23ζ13+ζ23ζ13+ζ232ζ13−ζ23−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ23−2ζ5+ζ7ζ5−2ζ7ζ5+ζ7ζ5+ζ72ζ5−ζ7−ζ5+2ζ7−ζ5−ζ7−ζ5−ζ7−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−i2−i22ζ13−ζ23−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ23−2ζ13+ζ23ζ13−2ζ23ζ13+ζ23ζ13+ζ232ζ5−ζ7−ζ5+2ζ7−ζ5−ζ7−ζ5−ζ7−2ζ5+ζ7ζ5−2ζ7ζ5+ζ7ζ5+ζ70000000000000000000000000000000000
χ1544-4-44-20022-22i2−2i2−2i22i2−232323−23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ71-2−1+3i32−1−3i3211-121-21−3i321+3i32-1-1−1+3i32−1−3i3211-121−3i321+3i32-1-1−3i3i00−2ζ14−ζ22ζ14+2ζ22−3−32ζ14+ζ22−ζ14−2ζ22333i−3i002ζ14+ζ22−ζ14−2ζ2233−2ζ14−ζ22ζ14+2ζ22−3−3−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ5−2ζ7−2ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5+2ζ72ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−i2−i2−ζ13+2ζ232ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13−2ζ23−2ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ5+2ζ72ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5−2ζ7−2ζ5+ζ7ζ5+ζ7ζ5+ζ70000000000000000000000000000000000
χ1554-4-44-20022-22i2−2i2−2i22i2−232323−23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-2111−1−3i32−1+3i322-1-21-1-11+3i321−3i3211−1−3i32−1+3i322-1-1-11+3i321−3i32003i−3i−3−3ζ14+2ζ22−2ζ14−ζ2233−ζ14−2ζ222ζ14+ζ2200−3i3i33−ζ14−2ζ222ζ14+ζ22−3−3ζ14+2ζ22−2ζ14−ζ22−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ23−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ7−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ7i2i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ13−ζ23−ζ13−ζ232ζ13−ζ23−ζ13+2ζ23ζ13+ζ23ζ13+ζ23−2ζ13+ζ23ζ13−2ζ23−ζ5−ζ7−ζ5−ζ72ζ5−ζ7−ζ5+2ζ7ζ5+ζ7ζ5+ζ7−2ζ5+ζ7ζ5−2ζ70000000000000000000000000000000000
χ1564-4-44-20022-22i2−2i2−2i22i2−232323−23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-2111−1+3i32−1−3i322-1-21-1-11−3i321+3i3211−1+3i32−1−3i322-1-1-11−3i321+3i3200−3i3i−3−3−2ζ14−ζ22ζ14+2ζ22332ζ14+ζ22−ζ14−2ζ22003i−3i332ζ14+ζ22−ζ14−2ζ22−3−3−2ζ14−ζ22ζ14+2ζ22−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ7i2i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−i2−i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+2ζ232ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13−2ζ23−2ζ13+ζ23−ζ5−ζ7−ζ5−ζ7−ζ5+2ζ72ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−2ζ7−2ζ5+ζ70000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.