Finite Group Databasebeta

← Group #129521

Character table — Group #129521

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222444444444444444444444444444488888888888888888888888888881616161616161616
order12224444224444444444888888882244444488881616161616161616161616161616161622444444444444448888161616161616161688888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111
χ91111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-111-1-1iiii−i−i−i−iii−i−iii−i−i
χ101111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-1111111-1-1iiii−i−i−i−i−i−iii−i−iii
χ111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−iii−i−iii
χ121111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-1111111-1-1−i−i−i−iiiiiii−i−iii−i−i
χ131111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-11111-1-111−i−i−i−iiiii−i−iiiii−i−i
χ141111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1111111-1-1-1-1-1-111−i−i−i−iiiiiii−i−i−i−iii
χ151111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-11111-1-111iiii−i−i−i−iii−i−i−i−iii
χ161111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1111111-1-1-1-1-1-111iiii−i−i−i−i−i−iiiii−i−i
χ171-11-1i−ii−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ61-1i−i1-1i−i11-1-1ii−i−i1-1i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6
χ181-11-1i−ii−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-11−ii-11−ii-1-111−i−iii1-1i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6
χ191-11-1i−ii−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ61-1i−i1-1i−i11-1-1ii−i−i1-1i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6
χ201-11-1i−ii−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-11−ii-11−ii-1-111−i−iii1-1i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6
χ211-11-1i−ii−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i-11−ii-11−ii1-1i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ61-1i−i1-1i−i-1-111−i−iii-11−ii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6
χ221-11-1i−ii−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i-11−ii-11−ii1-1i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-11−ii-11−ii11-1-1ii−i−i-11−ii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6
χ231-11-1i−ii−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i-11−ii-11−ii1-1i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ61-1i−i1-1i−i-1-111−i−iii-11−iiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6
χ241-11-1i−ii−i1-1i−i1-1i−i1-1i−i11-1-1ii−i−i-11−ii-11−ii1-1i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-11−ii-11−ii11-1-1ii−i−i-11−iiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6
χ251-11-1−ii−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii1-1−ii1-1−ii1-1−iiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ21-1−ii1-1−ii11-1-1−i−iii1-1−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2
χ261-11-1−ii−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii1-1−ii1-1−ii1-1−iiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-11i−i-11i−i-1-111ii−i−i1-1−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2
χ271-11-1−ii−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii1-1−ii1-1−ii1-1−ii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ21-1−ii1-1−ii11-1-1−i−iii1-1−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2
χ281-11-1−ii−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii1-1−ii1-1−ii1-1−ii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-11i−i-11i−i-1-111ii−i−i1-1−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2
χ291-11-1−ii−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii-11i−i-11i−i1-1−iiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ21-1−ii1-1−ii-1-111ii−i−i-11i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2
χ301-11-1−ii−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii-11i−i-11i−i1-1−iiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-11i−i-11i−i11-1-1−i−iii-11i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2
χ311-11-1−ii−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii-11i−i-11i−i1-1−ii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ21-1−ii1-1−ii-1-111ii−i−i-11i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2
χ321-11-1−ii−ii1-1−ii1-1−ii1-1−ii11-1-1−i−iii-11i−i-11i−i1-1−ii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-11i−i-11i−i11-1-1−i−iii-11i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2
χ3322222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000-2-2-2-20000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022220000000000000000
χ3522222222-2-2-2-222-2-2-2-222000000002222-2-2-2-2000022−2−222−2−222−2−222−2−2000000000000000000002−22−22−22−200000000
χ3622222222-2-2-2-222-2-2-2-222000000002222-2-2-2-20000−2−222−2−222−2−222−2−22200000000000000000000−22−22−22−2200000000
χ3722222222-2-2-2-222-2-2-2-22200000000-2-2-2-22222000022−2−222−2−222−2−222−2−200000000000000000000−22−22−22−2200000000
χ3822222222-2-2-2-222-2-2-2-22200000000-2-2-2-222220000−2−222−2−222−2−222−2−222000000000000000000002−22−22−22−200000000
χ3922222222-2-2-2-2-2-22222-2-22222222200000000-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000
χ4022222222-2-2-2-2-2-22222-2-22222222200000000-2-2-2-20000000000000000-2-2-2-222220000000000000000000000000000
χ4122222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000022220000000000000000000000002-22-22-22-200000000000000000000
χ4222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000-22-22-22-2200000000000000000000
χ432222-2-2-2-222-2-222-2-222-2-2-2-2-2-2222222-2-222-2-2-2-22200000000000000000000000000000000-2-2220000000000000000
χ442222-2-2-2-222-2-222-2-222-2-2-2-2-2-22222-2-222-2-222-2-2220000000000000000000000000000000022-2-20000000000000000
χ452222-2-2-2-2-2-2222222-2-2-2-20000000022-2-2-2-2220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000i2−i2i2−i2−i2i2−i2i200000000
χ462222-2-2-2-2-2-2222222-2-2-2-20000000022-2-2-2-2220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000−i2i2−i2i2i2−i2i2−i200000000
χ472222-2-2-2-2-2-2222222-2-2-2-200000000-2-22222-2-20000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000000000000000−i2i2−i2i2i2−i2i2−i200000000
χ482222-2-2-2-2-2-2222222-2-2-2-200000000-2-22222-2-20000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000000000000000i2−i2i2−i2−i2i2−i2i200000000
χ492222-2-2-2-2-2-222-2-2-2-222222222-2-2-2-200000000-2-222000000000000000022-2-2-2-2220000000000000000000000000000
χ502222-2-2-2-2-2-222-2-2-2-222222222-2-2-2-200000000-2-2220000000000000000-2-22222-2-20000000000000000000000000000
χ512222-2-2-2-2-2-222-2-2-2-22222-2-2-2-222220000000022-2-20000000000000000000000002-22-2-22-2200000000000000000000
χ522222-2-2-2-2-2-222-2-2-2-22222-2-2-2-222220000000022-2-2000000000000000000000000-22-222-22-200000000000000000000
χ532-22-22i−2i2i−2i2-22i−2i2-22i−2i2-22i−2i-2-222−2i−2i2i2i2-22i−2i2-22i−2i-22−2i2i00000000000000000000000000000000-22−2i2i0000000000000000
χ542-22-22i−2i2i−2i2-22i−2i2-22i−2i2-22i−2i-2-222−2i−2i2i2i-22−2i2i-22−2i2i-22−2i2i000000000000000000000000000000002-22i−2i0000000000000000
χ552-22-22i−2i2i−2i-22−2i2i2-2−2i2i-222i−2i000000002-22i−2i-22−2i2i00001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ562-22-22i−2i2i−2i-22−2i2i2-2−2i2i-222i−2i000000002-22i−2i-22−2i2i0000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ572-22-22i−2i2i−2i-22−2i2i2-2−2i2i-222i−2i00000000-22−2i2i2-22i−2i00001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ582-22-22i−2i2i−2i-22−2i2i2-2−2i2i-222i−2i00000000-22−2i2i2-22i−2i0000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ592-22-22i−2i2i−2i-22−2i2i-222i−2i2-2−2i2i22-2-22i2i−2i−2i00000000-22−2i2i00000000000000002-22i−2i-22−2i2i0000000000000000000000000000
χ602-22-22i−2i2i−2i-22−2i2i-222i−2i2-2−2i2i22-2-22i2i−2i−2i00000000-22−2i2i0000000000000000-22−2i2i2-22i−2i0000000000000000000000000000
χ612-22-22i−2i2i−2i-22−2i2i-222i−2i2-2−2i2i-2-222−2i−2i2i2i000000002-22i−2i0000000000000000000000002-2-222i−2i−2i2i00000000000000000000
χ622-22-22i−2i2i−2i-22−2i2i-222i−2i2-2−2i2i-2-222−2i−2i2i2i000000002-22i−2i000000000000000000000000-222-2−2i2i2i−2i00000000000000000000
χ632-22-2−2i2i−2i2i2-2−2i2i2-2−2i2i2-2−2i2i-2-2222i2i−2i−2i2-2−2i2i2-2−2i2i-222i−2i00000000000000000000000000000000-222i−2i0000000000000000
χ642-22-2−2i2i−2i2i2-2−2i2i2-2−2i2i2-2−2i2i-2-2222i2i−2i−2i-222i−2i-222i−2i-222i−2i000000000000000000000000000000002-2−2i2i0000000000000000
χ652-22-2−2i2i−2i2i-222i−2i2-22i−2i-22−2i2i000000002-2−2i2i-222i−2i00001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ662-22-2−2i2i−2i2i-222i−2i2-22i−2i-22−2i2i000000002-2−2i2i-222i−2i0000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ672-22-2−2i2i−2i2i-222i−2i2-22i−2i-22−2i2i00000000-222i−2i2-2−2i2i00001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ682-22-2−2i2i−2i2i-222i−2i2-22i−2i-22−2i2i00000000-222i−2i2-2−2i2i0000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ692-22-2−2i2i−2i2i-222i−2i-22−2i2i2-22i−2i22-2-2−2i−2i2i2i00000000-222i−2i00000000000000002-2−2i2i-222i−2i0000000000000000000000000000
χ702-22-2−2i2i−2i2i-222i−2i-22−2i2i2-22i−2i22-2-2−2i−2i2i2i00000000-222i−2i0000000000000000-222i−2i2-2−2i2i0000000000000000000000000000
χ712-22-2−2i2i−2i2i-222i−2i-22−2i2i2-22i−2i-2-2222i2i−2i−2i000000002-2−2i2i0000000000000000000000002-2-22−2i2i2i−2i00000000000000000000
χ722-22-2−2i2i−2i2i-222i−2i-22−2i2i2-22i−2i-2-2222i2i−2i−2i000000002-2−2i2i000000000000000000000000-222-22i−2i−2i2i00000000000000000000
χ73444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ744444-4-4-4-444-4-4-4-444-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ7544-4-444-4-400000000000022−2222−2222−2222−22000000000000ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7000000000000000000000000000000000000
χ7644-4-444-4-400000000000022−2222−2222−2222−22000000000000−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7000000000000000000000000000000000000
χ7744-4-444-4-4000000000000−2222−2222−2222−2222000000000000ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5−ζ7−ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5+ζ7ζ+ζ3−ζ5−ζ7000000000000000000000000000000000000
χ7844-4-444-4-4000000000000−2222−2222−2222−2222000000000000−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5+ζ7ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5−ζ7−ζ−ζ3+ζ5+ζ7000000000000000000000000000000000000
χ7944-4-4-4-44400000000000022−2222−22−2222−2222000000000000ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7000000000000000000000000000000000000
χ8044-4-4-4-44400000000000022−2222−22−2222−2222000000000000−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7000000000000000000000000000000000000
χ8144-4-4-4-444000000000000−2222−222222−2222−22000000000000ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7000000000000000000000000000000000000
χ8244-4-4-4-444000000000000−2222−222222−2222−22000000000000−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7ζ−ζ3−ζ5+ζ7−ζ+ζ3+ζ5−ζ7ζ+ζ3+ζ5+ζ7−ζ−ζ3−ζ5−ζ7000000000000000000000000000000000000
χ834-44-44i−4i4i−4i4-44i−4i-44−4i4i-44−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ844-44-4−4i4i−4i4i4-4−4i4i-444i−4i-444i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ854-4-444i−4i−4i4i00000000000022−22−22222i2−2i2−2i22i2000000000000ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7000000000000000000000000000000000000
χ864-4-444i−4i−4i4i00000000000022−22−22222i2−2i2−2i22i2000000000000−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7000000000000000000000000000000000000
χ874-4-444i−4i−4i4i000000000000−222222−22−2i22i22i2−2i2000000000000ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7000000000000000000000000000000000000
χ884-4-444i−4i−4i4i000000000000−222222−22−2i22i22i2−2i2000000000000−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7000000000000000000000000000000000000
χ894-4-44−4i4i4i−4i00000000000022−22−2222−2i22i22i2−2i2000000000000ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7000000000000000000000000000000000000
χ904-4-44−4i4i4i−4i00000000000022−22−2222−2i22i22i2−2i2000000000000−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7000000000000000000000000000000000000
χ914-4-44−4i4i4i−4i000000000000−222222−222i2−2i2−2i22i2000000000000ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7000000000000000000000000000000000000
χ924-4-44−4i4i4i−4i000000000000−222222−222i2−2i2−2i22i2000000000000−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.