Finite Group Databasebeta

← Group #13140709

Character table — Group #13140709

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444666612122222444444888888881212121224242222444444888888881212121224242222444444888888881212121224242222444444888888881212121224249999181818181818363636363636363654545454108108
order1222344666441212121212128888443666312126661212121212121212242424241212918181893636181818363636363636363672727272363691818189363618181836363636363636367272727236369181818936361818183636363636363636727272723636222264466644121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ51-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i
χ61-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii
χ71-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii
χ81-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i
χ922222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-20000000000
χ102222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ112222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000
χ122222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000
χ132222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000
χ1422-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200
χ1522-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200
χ162-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-220000000000
χ172-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-111000000
χ182-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-1000000
χ192-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i3000000
χ202-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i3000000
χ212-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i200
χ222-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i200
χ2344-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-22200000000000000
χ244-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-2200000000000000
χ25111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ281111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ291-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i1-11-111-1-1-111-11-111-1-1ii−i−ii−i-11-11-1-1111-1-11-11-1-111−i−iii−ii
χ301-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii1-11-111-1-1-111-11-111-1-1−i−iii−ii-11-11-1-1111-1-11-11-1-111ii−i−ii−i
χ311-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii1-11-111-1-1-11-111-1-1-111ii−i−i−ii-11-11-1-1111-11-1-1111-1-1−i−iiii−i
χ321-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i1-11-111-1-1-11-111-1-1-111−i−iiii−i-11-11-1-1111-11-1-1111-1-1ii−i−i−ii
χ3322222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-20000000000-2-2-2-2-222-2-2-200220000000000
χ342222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000-2-2-2-21-2-2111-2-2111111000000
χ352222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000-2-2-2-21-2-21112211-1-1-1-1000000
χ362222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000
χ372222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000-2-2-2-212211100-1-1−i3i3−i3i3000000
χ3822-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200-2-222-200-22200000000−22−2200
χ3922-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200-2-222-200-222000000002−22−200
χ402-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-2200000000002-22-22-22-2-2200-220000000000-22-22-22-222-2002-20000000000
χ412-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-1110000002-22-2-12-211-12-2-11-1-111000000-22-221-22-1-11-221-111-1-1000000
χ422-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-10000002-22-2-12-211-1-22-1111-1-1000000-22-221-22-1-112-21-1-1-111000000
χ432-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i30000002-22-2-1-2211-1001-1−i3i3i3−i3000000-22-2212-2-1-1100-11i3−i3−i3i3000000
χ442-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i30000002-22-2-1-2211-1001-1i3−i3−i3i3000000-22-2212-2-1-1100-11−i3i3i3−i3000000
χ452-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i2002-2-22200-22-200000000−i2i2i2−i200-222-2-2002-2200000000i2−i2−i2i200
χ462-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i2002-2-22200-22-200000000i2−i2−i2i200-222-2-2002-2200000000−i2i2i2−i200
χ4744-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-22200000000000000-4-4442002-2-200000000000000
χ484-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-22000000000000004-4-44-2002-2200000000000000-444-4200-22-200000000000000
χ49222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222222222222222222-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000
χ512222222222-2-222-2-2-2-22222-2-22222222222-2-222-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111000000000000000000000000
χ522222222222-2-222-2-2-2-2-2-2-2-2222222222222-2-222-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1000000000000000000000000
χ532-22-222-2-2-222-22-222-2-22i2i−2i−2i2i−2i2-22-222-2-2-222-22-222-2-22i2i−2i−2i2i−2i-11-11-1-1111-1-11-11-1-111−i−iii−ii-11-11-1-1111-1-11-11-1-111−i−iii−ii-11-11-1-1111-1-11-11-1-111−i−iii−ii000000000000000000000000
χ542-22-222-2-2-222-22-222-2-2−2i−2i2i2i−2i2i2-22-222-2-2-222-22-222-2-2−2i−2i2i2i−2i2i-11-11-1-1111-1-11-11-1-111ii−i−ii−i-11-11-1-1111-1-11-11-1-111ii−i−ii−i-11-11-1-1111-1-11-11-1-111ii−i−ii−i000000000000000000000000
χ552-22-222-2-2-22-222-2-2-2222i2i−2i−2i−2i2i2-22-222-2-2-22-222-2-2-2222i2i−2i−2i−2i2i-11-11-1-1111-11-1-1111-1-1−i−iiii−i-11-11-1-1111-11-1-1111-1-1−i−iiii−i-11-11-1-1111-11-1-1111-1-1−i−iiii−i000000000000000000000000
χ562-22-222-2-2-22-222-2-2-222−2i−2i2i2i2i−2i2-22-222-2-2-22-222-2-2-222−2i−2i2i2i2i−2i-11-11-1-1111-11-1-1111-1-1ii−i−i−ii-11-11-1-1111-11-1-1111-1-1ii−i−i−ii-11-11-1-1111-11-1-1111-1-1ii−i−i−ii000000000000000000000000
χ5744444-4-444400-4-4000000000044444-4-444400-4-40000000000-2-2-2-2-222-2-2-200220000000000-2-2-2-2-222-2-2-200220000000000-2-2-2-2-222-2-2-200220000000000000000000000000000000000
χ584444-244-2-2-244-2-2-2-2-2-20000004444-244-2-2-244-2-2-2-2-2-2000000-2-2-2-21-2-2111-2-2111111000000-2-2-2-21-2-2111-2-2111111000000-2-2-2-21-2-2111-2-2111111000000000000000000000000000000
χ594444-244-2-2-2-4-4-2-222220000004444-244-2-2-2-4-4-2-22222000000-2-2-2-21-2-21112211-1-1-1-1000000-2-2-2-21-2-21112211-1-1-1-1000000-2-2-2-21-2-21112211-1-1-1-1000000000000000000000000000000
χ604444-2-4-4-2-2-20022−2i32i3−2i32i30000004444-2-4-4-2-2-20022−2i32i3−2i32i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000-2-2-2-212211100-1-1i3−i3i3−i3000000000000000000000000000000
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χ1394-44-4-2-4422-2002-2−2i32i32i3−2i3000000-22-2212-2-1-1100-11i3−i3−i3i3000000−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ68ζ4+ζ682ζ4+2ζ68−2ζ4−2ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ6800−ζ4−ζ68ζ4+ζ68−ζ4−2ζ44−2ζ52−ζ68ζ4+2ζ44+2ζ52+ζ68ζ4+2ζ44+2ζ52+ζ68−ζ4−2ζ44−2ζ52−ζ680000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−ζ4+ζ44−ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44+ζ52+2ζ68ζ4−ζ44−ζ52−2ζ68ζ4−ζ44−ζ52−2ζ68−ζ4+ζ44+ζ52+2ζ680000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−ζ44+ζ52−ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ68−ζ44+ζ52−ζ682ζ4+ζ44+ζ52−ζ68−2ζ4−ζ44−ζ52+ζ68−2ζ4−ζ44−ζ52+ζ682ζ4+ζ44+ζ52−ζ68000000000000000000000000000000
χ1404-44-4-2-4422-2002-22i3−2i3−2i32i3000000-22-2212-2-1-1100-11−i3i3i3−i3000000−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ68ζ4+ζ682ζ4+2ζ68−2ζ4−2ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ6800−ζ4−ζ68ζ4+ζ68ζ4+2ζ44+2ζ52+ζ68−ζ4−2ζ44−2ζ52−ζ68−ζ4−2ζ44−2ζ52−ζ68ζ4+2ζ44+2ζ52+ζ680000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−ζ4+ζ44−ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ5200ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44−ζ52−2ζ68−ζ4+ζ44+ζ52+2ζ68−ζ4+ζ44+ζ52+2ζ68ζ4−ζ44−ζ52−2ζ680000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−ζ44+ζ52−ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ6800ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−2ζ4−ζ44−ζ52+ζ682ζ4+ζ44+ζ52−ζ682ζ4+ζ44+ζ52−ζ68−2ζ4−ζ44−ζ52+ζ68000000000000000000000000000000
χ1414-4-44400-44-400000000−2i22i22i2−2i200-222-2-2002-2200000000i2−i2−i2i200−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ68002ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ6800000000ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ5200−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ5200000000−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ6800−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ6800000000−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ7100000000000000000000000000
χ1424-4-44400-44-4000000002i2−2i2−2i22i200-222-2-2002-2200000000−i2i2i2−i200−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ68002ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ6800000000−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ5200−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ5200000000ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ6800−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ6800000000ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ7100000000000000000000000000
χ14388-8-8-400-44400000000000000-4-4442002-2-200000000000000−4ζ4−4ζ68−4ζ4−4ζ684ζ4+4ζ684ζ4+4ζ682ζ4+2ζ68002ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ68000000000000004ζ4−4ζ44+4ζ524ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−4ζ4+4ζ44−4ζ52−2ζ4+2ζ44−2ζ5200−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52000000000000004ζ44−4ζ52+4ζ684ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−4ζ44+4ζ52−4ζ68−2ζ44+2ζ52−2ζ6800−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ6800000000000000000000000000000000000000
χ1448-8-88-4004-4400000000000000-444-4200-22-200000000000000−4ζ4−4ζ684ζ4+4ζ684ζ4+4ζ68−4ζ4−4ζ682ζ4+2ζ6800−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ68000000000000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−4ζ4+4ζ44−4ζ524ζ4−4ζ44+4ζ52−2ζ4+2ζ44−2ζ52002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52000000000000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−4ζ44+4ζ52−4ζ684ζ44−4ζ52+4ζ68−2ζ44+2ζ52−2ζ68002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ6800000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.