Finite Group Databasebeta

← Group #13137845

Character table — Group #13137845

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
χ51-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-1
χ61-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-11
χ71-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-11
χ81-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-1
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
χ162-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i200
χ172-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i200
χ182-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-220000000000
χ192-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii000000
χ202-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i000000
χ212-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−33000000
χ222-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−3000000
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
χ244-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-200000000000000
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
χ291-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-1-111-1-1-111-11−ii-11−i−iii−i−iii-11
χ301-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-11-111-1-1-111-11−ii-11−i−iiiii−i−i1-1
χ311-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-11-111-1-1-111-11i−i-11ii−i−i−i−iii1-1
χ321-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-1-111-1-1-111-11i−i-11ii−i−iii−i−i-11
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
χ402-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i200-22-22-20022-200000000i2−i2−i2i200
χ412-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i200-22-22-20022-200000000−i2i2i2−i200
χ422-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-220000000000-222-2-22-22-22002-20000000000
χ432-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii000000-222-21-22-11-1−2i2i1-1ii−i−i000000
χ442-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i000000-222-21-22-11-12i−2i1-1−i−iii000000
χ452-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−33000000-222-212-2-11-100-11−333−3000000
χ462-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−3000000-222-212-2-11-100-113−3−33000000
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
χ484-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-200000000000000-44-44200-2-2200000000000000
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
χ532-2-2222-2-22-22i−2i2-22i2i−2i−2i2i2i−2i−2i2-22-2-2222-2-22-22i−2i2-22i2i−2i−2i2i2i−2i−2i2-2-111-1-1-111-11−ii-11−i−iii−i−iii-11-111-1-1-111-11−ii-11−i−iii−i−iii-11-111-1-1-111-11−ii-11−i−iii−i−iii-11000000000000000000000000
χ542-2-2222-2-22-22i−2i2-22i2i−2i−2i−2i−2i2i2i-222-2-2222-2-22-22i−2i2-22i2i−2i−2i−2i−2i2i2i-22-111-1-1-111-11−ii-11−i−iiiii−i−i1-1-111-1-1-111-11−ii-11−i−iiiii−i−i1-1-111-1-1-111-11−ii-11−i−iiiii−i−i1-1000000000000000000000000
χ552-2-2222-2-22-2−2i2i2-2−2i−2i2i2i2i2i−2i−2i-222-2-2222-2-22-2−2i2i2-2−2i−2i2i2i2i2i−2i−2i-22-111-1-1-111-11i−i-11ii−i−i−i−iii1-1-111-1-1-111-11i−i-11ii−i−i−i−iii1-1-111-1-1-111-11i−i-11ii−i−i−i−iii1-1000000000000000000000000
χ562-2-2222-2-22-2−2i2i2-2−2i−2i2i2i−2i−2i2i2i2-22-2-2222-2-22-2−2i2i2-2−2i−2i2i2i−2i−2i2i2i2-2-111-1-1-111-11i−i-11ii−i−iii−i−i-11-111-1-1-111-11i−i-11ii−i−iii−i−i-11-111-1-1-111-11i−i-11ii−i−iii−i−i-11000000000000000000000000
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
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χ1384-4-444-44-44-400-440000000000-222-2-22-22-22002-20000000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ68002ζ4+2ζ68−2ζ4−2ζ6800000000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ5200−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ5200000000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ6800−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ680000000000000000000000000000000000
χ1394-4-44-24-42-224i−4i-22−2i−2i2i2i000000-222-21-22-11-1−2i2i1-1ii−i−i000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ682ζ4+2ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ68−2ζ14−2ζ222ζ14+2ζ22ζ4+ζ68−ζ4−ζ68ζ14+ζ22ζ14+ζ22−ζ14−ζ22−ζ14−ζ220000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ522ζ22−2ζ62+2ζ70−2ζ22+2ζ62−2ζ70−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ22+ζ62−ζ70−ζ22+ζ62−ζ70ζ22−ζ62+ζ70ζ22−ζ62+ζ700000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ682ζ14+2ζ62−2ζ70−2ζ14−2ζ62+2ζ70−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70ζ14+ζ62−ζ70ζ14+ζ62−ζ70000000000000000000000000000000
χ1404-4-44-24-42-22−4i4i-222i2i−2i−2i000000-222-21-22-11-12i−2i1-1−i−iii000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68ζ4+ζ68−2ζ4−2ζ682ζ4+2ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ682ζ14+2ζ22−2ζ14−2ζ22ζ4+ζ68−ζ4−ζ68−ζ14−ζ22−ζ14−ζ22ζ14+ζ22ζ14+ζ220000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−2ζ22+2ζ62−2ζ702ζ22−2ζ62+2ζ70−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ22−ζ62+ζ70ζ22−ζ62+ζ70−ζ22+ζ62−ζ70−ζ22+ζ62−ζ700000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−2ζ14−2ζ62+2ζ702ζ14+2ζ62−2ζ70−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ14+ζ62−ζ70ζ14+ζ62−ζ70−ζ14−ζ62+ζ70−ζ14−ζ62+ζ70000000000000000000000000000000
χ1414-4-44-2-442-22002-223−23−2323000000-222-212-2-11-100-11−333−3000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68ζ4+ζ682ζ4+2ζ68−2ζ4−2ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ6800−ζ4−ζ68ζ4+ζ68−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ70ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ700000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ5200ζ4−ζ44+ζ52−ζ4+ζ44−ζ522ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ70−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ700000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ6800ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70000000000000000000000000000000
χ1424-4-44-2-442-22002-2−232323−23000000-222-212-2-11-100-113−3−33000000−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68ζ4+ζ682ζ4+2ζ68−2ζ4−2ζ68−ζ4−ζ68ζ4+ζ68−ζ4−ζ6800−ζ4−ζ68ζ4+ζ68ζ14+ζ22+2ζ62+2ζ70−ζ14−ζ22−2ζ62−2ζ70−ζ14−ζ22−2ζ62−2ζ70ζ14+ζ22+2ζ62+2ζ700000002ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−ζ4+ζ44−ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ5200ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−2ζ14+ζ22−ζ62−ζ702ζ14−ζ22+ζ62+ζ702ζ14−ζ22+ζ62+ζ70−2ζ14+ζ22−ζ62−ζ700000002ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−ζ44+ζ52−ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ6800ζ44−ζ52+ζ68−ζ44+ζ52−ζ68ζ14−2ζ22−ζ62−ζ70−ζ14+2ζ22+ζ62+ζ70−ζ14+2ζ22+ζ62+ζ70ζ14−2ζ22−ζ62−ζ70000000000000000000000000000000
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
χ1448-88-8-40044-400000000000000-44-44200-2-2200000000000000−4ζ4−4ζ684ζ4+4ζ68−4ζ4−4ζ684ζ4+4ζ682ζ4+2ζ6800−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68000000000000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ524ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ52−2ζ4+2ζ44−2ζ52002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52000000000000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ684ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ68−2ζ44+2ζ52−2ζ68002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000000000000

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