Finite Group Databasebeta

← Group #13135865

Character table — Group #13135865

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111122222222222222244444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212727272727272727272727272
order12336624466881212121224242424816161616242448484848484848483333666612121212121212122424242424242424242424242424242466661212121224242424242424244848484848484848484848484848484848484848484848484848484848484848244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111-1-11-1-1-1-1-1-111-1-1-1-11ii−i−i11iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1i−i11-1-1ii−i−i
χ6111111-1-11-1-1-1-1-1-111-1-1-1-11ii−i−i11iiii−i−i−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−ii-1-111−i−iii
χ7111111-1-11-1-1-1-1-1-111-1-1-1-11−i−iii11−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−ii11-1-1−i−iii
χ8111111-1-11-1-1-1-1-1-111-1-1-1-11−i−iii11−i−i−i−iiiii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11i−i-1-111ii−i−i
χ92222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ10222222222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ11222222222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000
χ12222222222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000
χ132222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000
χ142222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000
χ152222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000
χ162222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2000000000000
χ1722222222222-2-22222-2-2-2-2-20000-2-2000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222-2-22222-2-2-2-2-20000-2-2000000002-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-12-1-1-1-2-2111111000033−3−333−3−333−3−3000033−3−333−3−333−3−3000000000000
χ1922222222222-2-22222-2-2-2-2-20000-2-2000000002-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-21111111111112-1-1-12-1-1-1-2-21111110000−3−333−3−333−3−3330000−3−333−3−333−3−333000000000000
χ2022222222222-2-22222-2-2-2-2-20000-2-200000000-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-12-1-111-2-2111133−3−3000033−3−3−3−33333−3−3000033−3−3−3−333000000000000
χ2122222222222-2-22222-2-2-2-2-20000-2-200000000-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-12-1-1-12-1-111-2-21111−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3000000000000
χ2222222222222-2-22222-2-2-2-2-20000-2-200000000-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-1-12-11111-2-21133−3−3−3−333000033−3−333−3−3−3−333000033−3−3000000000000
χ2322222222222-2-22222-2-2-2-2-20000-2-200000000-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-1-12-1-1-12-11111-2-211−3−33333−3−30000−3−333−3−33333−3−30000−3−333000000000000
χ2422222222222-2-22222-2-2-2-2-20000-2-200000000-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-1-1-12111111-2-233−3−333−3−3−3−333000033−3−333−3−3−3−3330000000000000000
χ2522222222222-2-22222-2-2-2-2-20000-2-200000000-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-1-1-12-1-1-12111111-2-2−3−333−3−33333−3−30000−3−333−3−33333−3−30000000000000000
χ262222222-2-22200-2-2-2-2000002−22−20022−2−222−2−222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2000000002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−2000000000000
χ272222222-2-22200-2-2-2-2000002−22−20022−2−222−2−22-1-1-12-1-1-1-2-2111111000033−3−333−3−333−3−32-1-1-1-2111003−33−33−32−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ282222222-2-22200-2-2-2-2000002−22−20022−2−222−2−22-1-1-12-1-1-1-2-21111110000−3−333−3−333−3−3332-1-1-1-211100−33−33−332−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ292222222-2-22200-2-2-2-2000002−22−20022−2−222−2−2-12-1-1-12-1-111-2-2111133−3−3000033−3−3−3−333-12-1-11-2113−3003−3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ302222222-2-22200-2-2-2-2000002−22−20022−2−222−2−2-12-1-1-12-1-111-2-21111−3−3330000−3−33333−3−3-12-1-11-211−3300−333−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ312222222-2-22200-2-2-2-2000002−22−20022−2−222−2−2-1-12-1-1-12-11111-2-21133−3−3−3−333000033−3−3-1-12-111-213−3−33003−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ322222222-2-22200-2-2-2-2000002−22−20022−2−222−2−2-1-12-1-1-12-11111-2-211−3−33333−3−30000−3−333-1-12-111-21−333−300−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ332222222-2-22200-2-2-2-2000002−22−20022−2−222−2−2-1-1-12-1-1-12111111-2-233−3−333−3−3−3−3330000-1-1-12111-23−33−3−3300ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2000000000000
χ342222222-2-22200-2-2-2-2000002−22−20022−2−222−2−2-1-1-12-1-1-12111111-2-2−3−333−3−33333−3−30000-1-1-12111-2−33−333−300ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2000000000000
χ352222222-2-22200-2-2-2-200000−22−2200−2−222−2−22222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22000000000000
χ362222222-2-22200-2-2-2-200000−22−2200−2−222−2−2222-1-1-12-1-1-1-2-2111111000033−3−333−3−333−3−32-1-1-1-2111003−33−33−3−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ372222222-2-22200-2-2-2-200000−22−2200−2−222−2−2222-1-1-12-1-1-1-2-21111110000−3−333−3−333−3−3332-1-1-1-211100−33−33−33−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ382222222-2-22200-2-2-2-200000−22−2200−2−222−2−222-12-1-1-12-1-111-2-2111133−3−3000033−3−3−3−333-12-1-11-2113−3003−3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ392222222-2-22200-2-2-2-200000−22−2200−2−222−2−222-12-1-1-12-1-111-2-21111−3−3330000−3−33333−3−3-12-1-11-211−3300−333−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ402222222-2-22200-2-2-2-200000−22−2200−2−222−2−222-1-12-1-1-12-11111-2-21133−3−3−3−333000033−3−3-1-12-111-213−3−33003−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ412222222-2-22200-2-2-2-200000−22−2200−2−222−2−222-1-12-1-1-12-11111-2-211−3−33333−3−30000−3−333-1-12-111-21−333−300−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ422222222-2-22200-2-2-2-200000−22−2200−2−222−2−222-1-1-12-1-1-12111111-2-233−3−333−3−3−3−3330000-1-1-12111-23−33−3−3300−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22000000000000
χ432222222-2-22200-2-2-2-200000−22−2200−2−222−2−222-1-1-12-1-1-12111111-2-2−3−333−3−33333−3−30000-1-1-12111-2−33−333−300−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22000000000000
χ44222222-22-2-2-20022-2-200000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ45222222-22-2-2-20022-2-200000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i22-1-1-12-1-1-1-2-2111111000033−3−333−3−333−3−3-21112-1-1-100−33−33−33−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ46222222-22-2-2-20022-2-200000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i22-1-1-12-1-1-1-2-21111110000−3−333−3−333−3−333-21112-1-1-1003−33−33−3−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ47222222-22-2-2-20022-2-200000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2-12-1-1-12-1-111-2-2111133−3−3000033−3−3−3−3331-211-12-1-1−3300−333−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ48222222-22-2-2-20022-2-200000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2-12-1-1-12-1-111-2-21111−3−3330000−3−33333−3−31-211-12-1-13−3003−3−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ49222222-22-2-2-20022-2-200000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2-1-12-1-1-12-11111-2-21133−3−3−3−333000033−3−311-21-1-12-1−333−300−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ50222222-22-2-2-20022-2-200000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2-1-12-1-1-12-11111-2-211−3−33333−3−30000−3−33311-21-1-12-13−3−33003−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
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χ52222222-22-2-2-20022-2-200000−i2i2i2−i200−i2−i2i2i2i2i2−i2−i2-1-1-12-1-1-12111111-2-2−3−333−3−33333−3−30000111-2-1-1-123−33−3−3300ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2000000000000
χ53222222-22-2-2-20022-2-200000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ54222222-22-2-2-20022-2-200000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i22-1-1-12-1-1-1-2-2111111000033−3−333−3−333−3−3-21112-1-1-100−33−33−33i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ55222222-22-2-2-20022-2-200000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i22-1-1-12-1-1-1-2-21111110000−3−333−3−333−3−333-21112-1-1-1003−33−33−3i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ56222222-22-2-2-20022-2-200000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2-12-1-1-12-1-111-2-2111133−3−3000033−3−3−3−3331-211-12-1-1−3300−333−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ57222222-22-2-2-20022-2-200000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2-12-1-1-12-1-111-2-21111−3−3330000−3−33333−3−31-211-12-1-13−3003−3−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ58222222-22-2-2-20022-2-200000i2−i2−i2i200i2i2−i2−i2−i2−i2i2i2-1-12-1-1-12-11111-2-21133−3−3−3−333000033−3−311-21-1-12-1−333−300−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
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χ12812-12−6+6i3−6−6i36−6i36+6i3000006i2−6i20000−6ζ5−6ζ236ζ5+6ζ23−6ζ7−6ζ136ζ7+6ζ1300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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