Finite Group Databasebeta

← Group #10694216

Character table — Group #10694216

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222222222224444444444444444444444444444448888888888888888888888881212121212121212121212121212121248484848
order122222223444444444444444466666661212121212121212444444121212121212121212121212121212121212121212121212888888882424242424242424242424242424242488888888888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ711111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-1
χ10111111111-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-11
χ11111111111-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-11
χ12111111111-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ13111111111-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-11
χ14111111111-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-111-1
χ15111111111-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-111-1
χ16111111111-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11
χ17222222222222-2-22222-2-2-2-22-2-2222222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ18222222222222-2-2-2-2-2-222222-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ19222222222-2-2-22222222222-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ20222222222-2-2-222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ2122222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ2222222222-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ2322222222-122222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ2422222222-122222-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ2522222222-1222-2-22222-2-2-2-22-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2622222222-1222-2-22222-2-2-2-22-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2722222222-1222-2-2-2-2-2-222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ2822222222-1222-2-2-2-2-2-222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ2922222222-1-2-2-22222222222-222-1-1-1-1-1-1-111111111-2-2-2-2-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−33300000000000000000000
χ3022222222-1-2-2-22222222222-222-1-1-1-1-1-1-111111111-2-2-2-2-2-21111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−300000000000000000000
χ3122222222-1-2-2-222-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1111111112222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−300000000000000000000
χ3222222222-1-2-2-222-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1111111112222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−33300000000000000000000
χ3322222222-1-2-2-2-2-22222-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-1-1-1-11111-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ3422222222-1-2-2-2-2-22222-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-222-1-1-1-11111-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-22222-2-2-2-1-1-1-1-1-1-111111111-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-22222-2-2-2-1-1-1-1-1-1-111111111-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ372222-2-2-2-220002222-2-222-2-20-2-2222-2-2-2-200000000000000000022-2-222-2-20000000022-2-22−22−22−22−22−22−22−22−22−22−22−22−200000000000000000000
χ382222-2-2-2-220002222-2-222-2-20-2-2222-2-2-2-200000000000000000022-2-222-2-20000000022-2-2−22−22−22−22−22−22−22−22−22−22−22−2200000000000000000000
χ392222-2-2-2-2200022-2-222-2-2220-2-2222-2-2-2-200000000000000000022-2-2-2-22200000000-2-2222−22−2−22−222−22−22−22−2−22−22−22−2200000000000000000000
χ402222-2-2-2-2200022-2-222-2-2220-2-2222-2-2-2-200000000000000000022-2-2-2-22200000000-2-222−22−222−22−2−22−22−22−222−22−22−22−200000000000000000000
χ412222-2-2-2-22000-2-222-2-2-2-222022222-2-2-2-2000000000000000000-2-22222-2-200000000-2-222−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ422222-2-2-2-22000-2-222-2-2-2-222022222-2-2-2-2000000000000000000-2-22222-2-200000000-2-222i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ432222-2-2-2-22000-2-2-2-22222-2-2022222-2-2-2-2000000000000000000-2-222-2-2220000000022-2-2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ442222-2-2-2-22000-2-2-2-22222-2-2022222-2-2-2-2000000000000000000-2-222-2-2220000000022-2-2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ452222-2-2-2-2-10002222-2-222-2-20-2-2-1-1-11111333−3−3−33−300000033−3−3-1-111-1-11133−3−333−3−3-1-1112−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000000000
χ462222-2-2-2-2-10002222-2-222-2-20-2-2-1-1-11111333−3−3−33−300000033−3−3-1-111-1-11133−3−333−3−3-1-111−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000000000
χ472222-2-2-2-2-10002222-2-222-2-20-2-2-1-1-11111−3−3−3333−33000000−3−333-1-111-1-111−3−333−3−333-1-1112−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000000000
χ482222-2-2-2-2-10002222-2-222-2-20-2-2-1-1-11111−3−3−3333−33000000−3−333-1-111-1-111−3−333−3−333-1-111−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000000000
χ492222-2-2-2-2-100022-2-222-2-2220-2-2-1-1-11111333−3−3−33−300000033−3−3-1-11111-1-1−3−333−3−33311-1-12−22−2−22−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000000000
χ502222-2-2-2-2-100022-2-222-2-2220-2-2-1-1-11111333−3−3−33−300000033−3−3-1-11111-1-1−3−333−3−33311-1-1−22−222−22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000000000
χ512222-2-2-2-2-100022-2-222-2-2220-2-2-1-1-11111−3−3−3333−33000000−3−333-1-11111-1-133−3−333−3−311-1-12−22−2−22−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000000000
χ522222-2-2-2-2-100022-2-222-2-2220-2-2-1-1-11111−3−3−3333−33000000−3−333-1-11111-1-133−3−333−3−311-1-1−22−222−22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000000000
χ532222-2-2-2-2-1000-2-222-2-2-2-222022-1-1-11111333−3−3−33−3000000−3−33311-1-1-1-111−3−33333−3−311-1-1−i2i2i2−i2−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000000
χ542222-2-2-2-2-1000-2-222-2-2-2-222022-1-1-11111333−3−3−33−3000000−3−33311-1-1-1-111−3−33333−3−311-1-1i2−i2−i2i2i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000000000
χ552222-2-2-2-2-1000-2-222-2-2-2-222022-1-1-11111−3−3−3333−3300000033−3−311-1-1-1-11133−3−3−3−33311-1-1−i2i2i2−i2−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000000000
χ562222-2-2-2-2-1000-2-222-2-2-2-222022-1-1-11111−3−3−3333−3300000033−3−311-1-1-1-11133−3−3−3−33311-1-1i2−i2−i2i2i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000000
χ572222-2-2-2-2-1000-2-2-2-22222-2-2022-1-1-11111333−3−3−33−3000000−3−33311-1-111-1-133−3−3−3−333-1-111−i2i2i2−i2i2−i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000000000
χ582222-2-2-2-2-1000-2-2-2-22222-2-2022-1-1-11111333−3−3−33−3000000−3−33311-1-111-1-133−3−3−3−333-1-111i2−i2−i2i2−i2i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000000
χ592222-2-2-2-2-1000-2-2-2-22222-2-2022-1-1-11111−3−3−3333−3300000033−3−311-1-111-1-1−3−33333−3−3-1-111−i2i2i2−i2i2−i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000000
χ602222-2-2-2-2-1000-2-2-2-22222-2-2022-1-1-11111−3−3−3333−3300000033−3−311-1-111-1-1−3−33333−3−3-1-111i2−i2−i2i2−i2i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000000000
χ6122-2-222-2-2222-20000002-22-2-2002-2-222-2-222-222-2-2-22-200000000000000002-22-200002-22-200000000000000000000000022−2−222−2−222−2−222−2−20000
χ6222-2-222-2-2222-20000002-22-2-2002-2-222-2-222-222-2-2-22-200000000000000002-22-200002-22-2000000000000000000000000−2−222−2−222−2−222−2−2220000
χ6322-2-222-2-2222-2000000-22-22-2002-2-222-2-222-222-2-2-2-220000000000000000-22-220000-22-2200000000000000000000000022−2−222−2−2−2−222−2−2220000
χ6422-2-222-2-2222-2000000-22-22-2002-2-222-2-222-222-2-2-2-220000000000000000-22-220000-22-22000000000000000000000000−2−222−2−22222−2−222−2−20000
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χ722-22-22-22-222-2200-22-220000-200-22-22-22-22-222-22-2-200-220000000000-22-220000-22-220000000000000000000000000000−22−22−22−222−22−22−22−20000
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χ772-2-222-2-2222-2-22-20000000022-2-2-222-2-222-2-22-2-22200002-22-22-22-22-20000000000000000000000000000000000000000000000002-2-222-2-220000
χ782-2-222-2-2222-2-22-20000000022-2-2-222-2-222-2-22-2-22200002-22-22-22-22-2000000000000000000000000000000000000000000000000-222-2-222-20000
χ792-2-222-2-2222-2-2-22000000002-22-2-222-2-222-2-22-2-2220000-22-22-22-22-2200000000000000000000000000000000000000002-2-222-2-22000000000000
χ802-2-222-2-2222-2-2-22000000002-22-2-222-2-222-2-22-2-2220000-22-22-22-22-220000000000000000000000000000000000000000-222-2-222-2000000000000
χ812-2-222-2-222-2222-200000000-22-2-2-222-2-22-222-222-2-20000-22-22-222-22-200000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ822-2-222-2-222-2222-200000000-22-2-2-222-2-22-222-222-2-20000-22-22-222-22-20000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ832-2-222-2-222-222-2200000000-2-22-2-222-2-22-222-222-2-200002-22-22-2-22-220000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000
χ842-2-222-2-222-222-2200000000-2-22-2-222-2-22-222-222-2-200002-22-22-2-22-22000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000
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χ8744-4-444-4-4-2-4-440000004-44-4400-222-2-22222-222-2-2-2-4400000000000000002-22-20000-22-2200000000000000000000000000000000000000000000
χ8844-4-444-4-4-2-4-44000000-44-44400-222-2-22222-222-2-2-24-40000000000000000-22-2200002-22-200000000000000000000000000000000000000000000
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χ954-44-44-44-4-24-44004-44-40000-4002-22-22-22-22-2-22-222004-40000000000-22-220000-22-22000000000000000000000000000000000000000000000000
χ964-44-44-44-4-24-4400-44-440000-4002-22-22-22-22-2-22-22200-4400000000002-22-200002-22-2000000000000000000000000000000000000000000000000
χ974-44-44-44-4-2-44-4004-44-400004002-22-22-222-222-22-2-200-440000000000-22-2200002-22-2000000000000000000000000000000000000000000000000
χ984-44-44-44-4-2-44-400-44-4400004002-22-22-222-222-22-2-2004-400000000002-22-20000-22-22000000000000000000000000000000000000000000000000
χ994-44-4-44-444000004-4-440000000-44-4-44-4400000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000
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χ1014-44-4-44-44-2000004-4-4400000002-222-22-223−2323−2323−23−232300000000000000-222-2000023−23−2323000000000000000000000000000000000000000000000000
χ1024-44-4-44-44-2000004-4-4400000002-222-22-2−2323−2323−232323−2300000000000000-222-20000−232323−23000000000000000000000000000000000000000000000000
χ1034-44-4-44-44-200000-444-400000002-222-22-223−2323−2323−23−2323000000000000002-2-220000−232323−23000000000000000000000000000000000000000000000000
χ1044-44-4-44-44-200000-444-400000002-222-22-2−2323−2323−232323−23000000000000002-2-22000023−23−2323000000000000000000000000000000000000000000000000
χ1054-4-444-4-44-24-4-44-40000000044-422-2-222-2-222-222-2-200004-4-22-22-22-22000000000000000000000000000000000000000000000000000000000000
χ1064-4-444-4-44-24-4-4-44000000004-4422-2-222-2-222-222-2-20000-442-22-22-22-2000000000000000000000000000000000000000000000000000000000000
χ1074-4-444-4-44-2-4444-400000000-44-422-2-222-22-2-22-2-2220000-442-22-2-22-22000000000000000000000000000000000000000000000000000000000000
χ1084-4-444-4-44-2-444-4400000000-4-4422-2-222-22-2-22-2-22200004-4-22-222-22-2000000000000000000000000000000000000000000000000000000000000
χ1094-4-44-444-440004-4000000000-44-4-44-444-40000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000
χ1104-4-44-444-44000-440000000004-4-4-44-444-4000000000000000000-444-4000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-444-4-20004-4000000000-4422-22-2-2223−23−23−23232323−2300000023−23−2323-222-2000000000000000000000000000000000000000000000000000000000000
χ1124-4-44-444-4-20004-4000000000-4422-22-2-22−23232323−23−23−2323000000−232323−23-222-2000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-444-4-2000-440000000004-422-22-2-2223−23−23−23232323−23000000−232323−232-2-22000000000000000000000000000000000000000000000000000000000000
χ1144-4-44-444-4-2000-440000000004-422-22-2-22−23232323−23−23−232300000023−23−23232-2-22000000000000000000000000000000000000000000000000000000000000

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