Finite Group Databasebeta

← Group #11721777

Character table — Group #11721777

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111112222222226666666666666666666666666666666636363636363611111122222222266666666666666666666666666666666363636363636
order12336648812122424242433336666121212121212121224242424242424242424242424242424246612122266664881212242424246666666612121212121212122424242424242424242424242424242424661212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1
χ41111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ52222222222222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002222222222222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000
χ6222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000222222222222222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000
χ7222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000222222222222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000
χ8222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000222222222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000
χ92222222-2-222-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-21111111111110000002222222-2-222-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111000000
χ102222222-2-222-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111110000002222222-2-222-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-211111111000000
χ112222222-2-222-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-211110000002222222-2-222-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-21111000000
χ122222222-2-222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-20000002222222-2-222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2000000
χ13222222-200-2-2000022222222-2-2-2-2-2-2-2-20000000000000000000000222222-200-2-2000022222222-2-2-2-2-2-2-2-20000000000000000000000
χ14222222-200-2-200002-1-1-12-1-1-1-2-2111111000033−3−333−3−333−3−3000000222222-200-2-200002-1-1-12-1-1-1-2-2111111000033−3−333−3−333−3−3000000
χ15222222-200-2-200002-1-1-12-1-1-1-2-21111110000−3−333−3−333−3−333000000222222-200-2-200002-1-1-12-1-1-1-2-21111110000−3−333−3−333−3−333000000
χ16222222-200-2-20000-12-1-1-12-1-111-2-2111133−3−3000033−3−3−3−333000000222222-200-2-20000-12-1-1-12-1-111-2-2111133−3−3000033−3−3−3−333000000
χ17222222-200-2-20000-12-1-1-12-1-111-2-21111−3−3330000−3−33333−3−3000000222222-200-2-20000-12-1-1-12-1-111-2-21111−3−3330000−3−33333−3−3000000
χ18222222-200-2-20000-1-12-1-1-12-11111-2-21133−3−3−3−333000033−3−3000000222222-200-2-20000-1-12-1-1-12-11111-2-21133−3−3−3−333000033−3−3000000
χ19222222-200-2-20000-1-12-1-1-12-11111-2-211−3−33333−3−30000−3−333000000222222-200-2-20000-1-12-1-1-12-11111-2-211−3−33333−3−30000−3−333000000
χ20222222-200-2-20000-1-1-12-1-1-12111111-2-233−3−333−3−3−3−3330000000000222222-200-2-20000-1-1-12-1-1-12111111-2-233−3−333−3−3−3−3330000000000
χ21222222-200-2-20000-1-1-12-1-1-12111111-2-2−3−333−3−33333−3−30000000000222222-200-2-20000-1-1-12-1-1-12111111-2-2−3−333−3−33333−3−30000000000
χ222-222-2-20−i2i200−i2−i2i2i22222-2-2-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000002-222-2-20−i2i200−i2−i2i2i22222-2-2-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000
χ232-222-2-20−i2i200−i2−i2i2i22-1-1-1-2111003−33−33−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-222-2-20−i2i200−i2−i2i2i22-1-1-1-2111003−33−33−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ242-222-2-20−i2i200−i2−i2i2i22-1-1-1-211100−33−33−33−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-222-2-20−i2i200−i2−i2i2i22-1-1-1-211100−33−33−33−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ252-222-2-20−i2i200−i2−i2i2i2-12-1-11-2113−3003−3−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-222-2-20−i2i200−i2−i2i2i2-12-1-11-2113−3003−3−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ262-222-2-20−i2i200−i2−i2i2i2-12-1-11-211−3300−333−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-222-2-20−i2i200−i2−i2i2i2-12-1-11-211−3300−333−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ272-222-2-20−i2i200−i2−i2i2i2-1-12-111-213−3−33003−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-222-2-20−i2i200−i2−i2i2i2-1-12-111-213−3−33003−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ282-222-2-20−i2i200−i2−i2i2i2-1-12-111-21−333−300−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-222-2-20−i2i200−i2−i2i2i2-1-12-111-21−333−300−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ292-222-2-20−i2i200−i2−i2i2i2-1-1-12111-23−33−3−3300ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i20000002-222-2-20−i2i200−i2−i2i2i2-1-1-12111-23−33−3−3300ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2000000
χ302-222-2-20−i2i200−i2−i2i2i2-1-1-12111-2−33−333−300ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i20000002-222-2-20−i2i200−i2−i2i2i2-1-1-12111-2−33−333−300ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2000000
χ312-222-2-20i2−i200i2i2−i2−i22222-2-2-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000002-222-2-20i2−i200i2i2−i2−i22222-2-2-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000
χ322-222-2-20i2−i200i2i2−i2−i22-1-1-1-2111003−33−33−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-222-2-20i2−i200i2i2−i2−i22-1-1-1-2111003−33−33−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ332-222-2-20i2−i200i2i2−i2−i22-1-1-1-211100−33−33−33i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-222-2-20i2−i200i2i2−i2−i22-1-1-1-211100−33−33−33i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ342-222-2-20i2−i200i2i2−i2−i2-12-1-11-2113−3003−3−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-222-2-20i2−i200i2i2−i2−i2-12-1-11-2113−3003−3−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ352-222-2-20i2−i200i2i2−i2−i2-12-1-11-211−3300−333−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-222-2-20i2−i200i2i2−i2−i2-12-1-11-211−3300−333−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ362-222-2-20i2−i200i2i2−i2−i2-1-12-111-213−3−33003−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-222-2-20i2−i200i2i2−i2−i2-1-12-111-213−3−33003−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ372-222-2-20i2−i200i2i2−i2−i2-1-12-111-21−333−300−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-222-2-20i2−i200i2i2−i2−i2-1-12-111-21−333−300−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ382-222-2-20i2−i200i2i2−i2−i2-1-1-12111-23−33−3−3300−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i20000002-222-2-20i2−i200i2i2−i2−i2-1-1-12111-23−33−3−3300−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2000000
χ392-222-2-20i2−i200i2i2−i2−i2-1-1-12111-2−33−333−300−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i20000002-222-2-20i2−i200i2i2−i2−i2-1-1-12111-2−33−333−300−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2000000
χ4033−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000011−1−i32−1+i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ4133−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000-1-11+i321−i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i32333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000-1-11+i321−i321+i321−i32
χ4233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32000000000000000000000000000000001-1−1−i32−1+i321+i321−i3233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32000000000000000000000000000000001-1−1−i32−1+i321+i321−i32
χ4333−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3200000000000000000000000000000000-111+i321−i32−1−i32−1+i3233−3−3i32−3+3i32−3−3i32−3+3i323-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i3200000000000000000000000000000000-111+i321−i32−1−i32−1+i32
χ4433−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000011−1+i32−1−i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ4533−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000-1-11−i321+i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000-1-11−i321+i321−i321+i32
χ4633−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32000000000000000000000000000000001-1−1+i32−1−i321−i321+i3233−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32000000000000000000000000000000001-1−1+i32−1−i321−i321+i32
χ4733−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3200000000000000000000000000000000-111−i321+i32−1+i32−1−i3233−3+3i32−3−3i32−3+3i32−3−3i323-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i3200000000000000000000000000000000-111−i321+i32−1+i32−1−i32
χ4866−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i300000000000000000000000000000000000000000066−3−3i3−3+3i3−3−3i3−3+3i3-6003+3i33−3i3000000000000000000000000000000000000000000
χ4966−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i300000000000000000000000000000000000000000066−3+3i3−3−3i3−3+3i3−3−3i3-6003−3i33+3i3000000000000000000000000000000000000000000
χ506-6−3−3i3−3+3i33+3i33−3i30−3i23i2003ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ23000000000000000000000000000000000000006-6−3−3i3−3+3i33+3i33−3i30−3i23i2003ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ2300000000000000000000000000000000000000
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χ1046-6−3−3i3−3+3i33+3i33−3i303i2−3i200−3ζ7−3ζ13−3ζ5−3ζ233ζ7+3ζ133ζ5+3ζ2300000000000000000000000000000000000000-663+3i33−3i3−3−3i3−3+3i30−3i23i2003ζ7+3ζ133ζ5+3ζ23−3ζ7−3ζ13−3ζ5−3ζ2300000000000000000000000000000000000000
χ1056-6−3+3i3−3−3i33−3i33+3i30−3i23i2003ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ1300000000000000000000000000000000000000-663−3i33+3i3−3+3i3−3−3i303i2−3i200−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ1300000000000000000000000000000000000000
χ1066-6−3+3i3−3−3i33−3i33+3i303i2−3i200−3ζ5−3ζ23−3ζ7−3ζ133ζ5+3ζ233ζ7+3ζ1300000000000000000000000000000000000000-663−3i33+3i3−3+3i3−3−3i30−3i23i2003ζ5+3ζ233ζ7+3ζ13−3ζ5−3ζ23−3ζ7−3ζ1300000000000000000000000000000000000000

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