Finite Group Databasebeta

← Group #228176

Character table — Group #228176

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12224444224444444444444488888888224444444444448888888888888888888844444444888888888888888824448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1
χ911111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111
χ1011111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ1211111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-111
χ1311111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1411111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1511111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111
χ1611111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ171111-1-1-1-1-1-11iiii−i−i−i−i111-1-1iiii−i−i−i−i11-1-1-111-1-1ii−i−i1ii−i−iii−i−iii−i−i1111-1-1-1-11-11-1ii−i−ii−ii−i11-1-1ii−i−i11-1-11-11-1i−ii−i
χ181111-1-1-1-1-1-11iiii−i−i−i−i111-1-1iiii−i−i−i−i11-1-1-1-1-111ii−i−i1ii−i−i−i−iiiii−i−i1111-1-1-1-11-1-11−i−iiii−i−ii11-1-1ii−i−i-1-111-11-11−ii−ii
χ191111-1-1-1-1-1-11iiii−i−i−i−i111-1-1iiii−i−i−i−i-1-111-111-1-1ii−i−i1−i−iiiii−i−iii−i−i1111-1-1-1-1-111-1ii−i−i−iii−i-1-111−i−iii11-1-1-11-11−ii−ii
χ201111-1-1-1-1-1-11iiii−i−i−i−i111-1-1iiii−i−i−i−i-1-111-1-1-111ii−i−i1−i−iii−i−iiiii−i−i1111-1-1-1-1-11-11−i−iii−ii−ii-1-111−i−iii-1-1111-11-1i−ii−i
χ211111-1-1-1-1-1-11iiii−i−i−i−i111-1-1−i−i−i−iiiii11-1-1-111-1-1ii−i−i1ii−i−i−i−iii−i−iii-1-1-1-111111-11-1ii−i−ii−i−ii-1-111−i−iii-1-111-111-1i−i−ii
χ221111-1-1-1-1-1-11iiii−i−i−i−i111-1-1−i−i−i−iiiii11-1-1-1-1-111ii−i−i1ii−i−iii−i−i−i−iii-1-1-1-111111-1-11−i−iiii−ii−i-1-111−i−iii11-1-11-1-11−iii−i
χ231111-1-1-1-1-1-11iiii−i−i−i−i111-1-1−i−i−i−iiiii-1-111-111-1-1ii−i−i1−i−iii−i−iii−i−iii-1-1-1-11111-111-1ii−i−i−ii−ii11-1-1ii−i−i-1-1111-1-11−iii−i
χ241111-1-1-1-1-1-11iiii−i−i−i−i111-1-1−i−i−i−iiiii-1-111-1-1-111ii−i−i1−i−iiiii−i−i−i−iii-1-1-1-11111-11-11−i−iii−iii−i11-1-1ii−i−i11-1-1-111-1i−i−ii
χ251111-1-1-1-1-1-11−i−i−i−iiiii111-1-1iiii−i−i−i−i11-1-1-111-1-1−i−iii1−i−iiiii−i−iii−i−i-1-1-1-111111-11-1−i−iii−iii−i-1-111ii−i−i-1-111-111-1−iii−i
χ261111-1-1-1-1-1-11−i−i−i−iiiii111-1-1iiii−i−i−i−i11-1-1-1-1-111−i−iii1−i−iii−i−iiiii−i−i-1-1-1-111111-1-11ii−i−i−ii−ii-1-111ii−i−i11-1-11-1-11i−i−ii
χ271111-1-1-1-1-1-11−i−i−i−iiiii111-1-1iiii−i−i−i−i-1-111-111-1-1−i−iii1ii−i−iii−i−iii−i−i-1-1-1-11111-111-1−i−iiii−ii−i11-1-1−i−iii-1-1111-1-11i−i−ii
χ281111-1-1-1-1-1-11−i−i−i−iiiii111-1-1iiii−i−i−i−i-1-111-1-1-111−i−iii1ii−i−i−i−iiiii−i−i-1-1-1-11111-11-11ii−i−ii−i−ii11-1-1−i−iii11-1-1-111-1−iii−i
χ291111-1-1-1-1-1-11−i−i−i−iiiii111-1-1−i−i−i−iiiii11-1-1-111-1-1−i−iii1−i−iii−i−iii−i−iii1111-1-1-1-11-11-1−i−iii−ii−ii11-1-1−i−iii11-1-11-11-1−ii−ii
χ301111-1-1-1-1-1-11−i−i−i−iiiii111-1-1−i−i−i−iiiii11-1-1-1-1-111−i−iii1−i−iiiii−i−i−i−iii1111-1-1-1-11-1-11ii−i−i−iii−i11-1-1−i−iii-1-111-11-11i−ii−i
χ311111-1-1-1-1-1-11−i−i−i−iiiii111-1-1−i−i−i−iiiii-1-111-111-1-1−i−iii1ii−i−i−i−iii−i−iii1111-1-1-1-1-111-1−i−iiii−i−ii-1-111ii−i−i11-1-1-11-11i−ii−i
χ321111-1-1-1-1-1-11−i−i−i−iiiii111-1-1−i−i−i−iiiii-1-111-1-1-111−i−iii1ii−i−iii−i−i−i−iii1111-1-1-1-1-11-11ii−i−ii−ii−i-1-111ii−i−i-1-1111-11-1−ii−ii
χ332222222222222222222-2-22-2-2000000002222-20000-2-2-2-2-222220000000000000000-2-2000000-2-20000000000000000000000
χ342222222222222222222-2-22-2-200000000-2-2-2-2-20000-2-2-2-2-2-2-2-2-2000000000000000022000000220000000000000000000000
χ3522222222222-2-2-2-2-2-2-2-2-2-22-2-2000000002222-200002222-2-2-2-2-20000000000000000-2-2000000220000000000000000000000
χ3622222222222-2-2-2-2-2-2-2-2-2-22-2-200000000-2-2-2-2-200002222-22222000000000000000022000000-2-20000000000000000000000
χ3722222222-2-2-20000000022-222222222220000-222220000-200002222-2-2-2-20000000000-2-2000000-2-200000000000000000000
χ3822222222-2-2-20000000022-222222222220000-2-2-2-2-20000-20000-2-2-2-2-2-2-2-20000000000220000002200000000000000000000
χ3922222222-2-2-20000000022-222-2-2-2-2-2-2-2-20000-222220000-20000-2-2-2-222220000000000-2-20000002200000000000000000000
χ4022222222-2-2-20000000022-222-2-2-2-2-2-2-2-20000-2-2-2-2-20000-2000022222222000000000022000000-2-200000000000000000000
χ412222-2-2-2-222-20000000022-2-2-22i2i2i2i−2i−2i−2i−2i0000222-2-20000-200002i2i−2i−2i−2i−2i2i2i0000000000-22000000−2i2i00000000000000000000
χ422222-2-2-2-222-20000000022-2-2-22i2i2i2i−2i−2i−2i−2i00002-2-2220000-20000−2i−2i2i2i−2i−2i2i2i00000000002-20000002i−2i00000000000000000000
χ432222-2-2-2-222-20000000022-2-2-2−2i−2i−2i−2i2i2i2i2i0000222-2-20000-20000−2i−2i2i2i2i2i−2i−2i0000000000-220000002i−2i00000000000000000000
χ442222-2-2-2-222-20000000022-2-2-2−2i−2i−2i−2i2i2i2i2i00002-2-2220000-200002i2i−2i−2i2i2i−2i−2i00000000002-2000000−2i2i00000000000000000000
χ452222-2-2-2-2-2-222i2i2i2i−2i−2i−2i−2i-2-22220000000022-2-220000−2i−2i2i2i-22i2i−2i−2i0000000000000000-22000000−2i2i0000000000000000000000
χ462222-2-2-2-2-2-222i2i2i2i−2i−2i−2i−2i-2-222200000000-2-22220000−2i−2i2i2i-2−2i−2i2i2i00000000000000002-20000002i−2i0000000000000000000000
χ472222-2-2-2-2-2-22−2i−2i−2i−2i2i2i2i2i-2-22220000000022-2-2200002i2i−2i−2i-2−2i−2i2i2i0000000000000000-220000002i−2i0000000000000000000000
χ482222-2-2-2-2-2-22−2i−2i−2i−2i2i2i2i2i-2-222200000000-2-222200002i2i−2i−2i-22i2i−2i−2i00000000000000002-2000000−2i2i0000000000000000000000
χ4922-2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i0020022−2−222−2−22-22-200000000002i−2i2i−2i00002−22−2i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i22−22−2000000000000
χ5022-2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i0020022−2−222−2−2-22-220000000000−2i2i−2i2i00002−22−2i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i2−22−22000000000000
χ5122-2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i00200−2−222−2−2222-22-200000000002i−2i2i−2i0000−22−22−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i2−22−22000000000000
χ5222-2-222-2-2-22-22i2i−2i−2i2i2i−2i−2i00200−2−222−2−222-22-220000000000−2i2i−2i2i0000−22−22−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i22−22−2000000000000
χ5322-2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i0020022−2−222−2−22-22-20000000000−2i2i−2i2i00002−22−2−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i22−22−2000000000000
χ5422-2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i0020022−2−222−2−2-22-2200000000002i−2i2i−2i00002−22−2−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i2−22−22000000000000
χ5522-2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i00200−2−222−2−2222-22-20000000000−2i2i−2i2i0000−22−22i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i2−22−22000000000000
χ5622-2-222-2-2-22-2−2i−2i2i2i−2i−2i2i2i00200−2−222−2−222-22-2200000000002i−2i2i−2i0000−22−22i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i22−22−2000000000000
χ5722-2-2-2-2222-2-222-2-2-2-22200200i2i2−i2−i2−i2−i2i2i22-2-2200000000002-2-220000i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i2i2−i2−i2i2000000000000
χ5822-2-2-2-2222-2-222-2-2-2-22200200i2i2−i2−i2−i2−i2i2i2-222-20000000000-222-20000i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i2−i2i2i2−i2000000000000
χ5922-2-2-2-2222-2-222-2-2-2-22200200−i2−i2i2i2i2i2−i2−i22-2-2200000000002-2-220000−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i2−i2i2i2−i2000000000000
χ6022-2-2-2-2222-2-222-2-2-2-22200200−i2−i2i2i2i2i2−i2−i2-222-20000000000-222-20000−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i2i2−i2−i2i2000000000000
χ6122-2-2-2-2222-2-2-2-22222-2-200200i2i2−i2−i2−i2−i2i2i22-2-220000000000-222-20000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ6222-2-2-2-2222-2-2-2-22222-2-200200i2i2−i2−i2−i2−i2i2i2-222-200000000002-2-220000i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ6322-2-2-2-2222-2-2-2-22222-2-200200−i2−i2i2i2i2i2−i2−i22-2-220000000000-222-20000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i2−i2i2i2−i2000000000000
χ6422-2-2-2-2222-2-2-2-22222-2-200200−i2−i2i2i2i2i2−i2−i2-222-200000000002-2-220000−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i2i2−i2−i2i2000000000000
χ652-22-22i−2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i2-202i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000002-22i−2i1+i−1−i1−i−1+i000002ζ−2ζ2ζ3−2ζ300002−22−2i2−i2i2−i200001+i−1−i1−i−1+i0000000000002−2i2−i200000000
χ662-22-22i−2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i2-202i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000-22−2i2i1+i−1−i1−i−1+i00000−2ζ2ζ−2ζ32ζ300002−22−2i2−i2i2−i20000−1−i1+i−1+i1−i000000000000−22−i2i200000000
χ672-22-22i−2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i2-202i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000002-22i−2i1+i−1−i1−i−1+i00000−2ζ2ζ−2ζ32ζ30000−22−22−i2i2−i2i200001+i−1−i1−i−1+i000000000000−22−i2i200000000
χ682-22-22i−2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i2-202i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000-22−2i2i1+i−1−i1−i−1+i000002ζ−2ζ2ζ3−2ζ30000−22−22−i2i2−i2i20000−1−i1+i−1+i1−i0000000000002−2i2−i200000000
χ692-22-22i−2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-202i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000002-22i−2i−1−i1+i−1+i1−i000002ζ−2ζ2ζ3−2ζ30000−22−22−i2i2−i2i20000−1−i1+i−1+i1−i000000000000−22−i2i200000000
χ702-22-22i−2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-202i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000-22−2i2i−1−i1+i−1+i1−i00000−2ζ2ζ−2ζ32ζ30000−22−22−i2i2−i2i200001+i−1−i1−i−1+i0000000000002−2i2−i200000000
χ712-22-22i−2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-202i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000002-22i−2i−1−i1+i−1+i1−i00000−2ζ2ζ−2ζ32ζ300002−22−2i2−i2i2−i20000−1−i1+i−1+i1−i0000000000002−2i2−i200000000
χ722-22-22i−2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2-202i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000-22−2i2i−1−i1+i−1+i1−i000002ζ−2ζ2ζ3−2ζ300002−22−2i2−i2i2−i200001+i−1−i1−i−1+i000000000000−22−i2i200000000
χ732-22-2−2i2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i2-20−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000002-2−2i2i1−i−1+i1+i−1−i000002ζ3−2ζ32ζ−2ζ0000−22−22i2−i2i2−i200001−i−1+i1+i−1−i000000000000−22i2−i200000000
χ742-22-2−2i2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i2-20−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000-222i−2i1−i−1+i1+i−1−i00000−2ζ32ζ3−2ζ2ζ0000−22−22i2−i2i2−i20000−1+i1−i−1−i1+i0000000000002−2−i2i200000000
χ752-22-2−2i2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i2-20−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000002-2−2i2i1−i−1+i1+i−1−i00000−2ζ32ζ3−2ζ2ζ00002−22−2−i2i2−i2i200001−i−1+i1+i−1−i0000000000002−2−i2i200000000
χ762-22-2−2i2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i2-20−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000-222i−2i1−i−1+i1+i−1−i000002ζ3−2ζ32ζ−2ζ00002−22−2−i2i2−i2i20000−1+i1−i−1−i1+i000000000000−22i2−i200000000
χ772-22-2−2i2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-20−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000002-2−2i2i−1+i1−i−1−i1+i000002ζ3−2ζ32ζ−2ζ00002−22−2−i2i2−i2i20000−1+i1−i−1−i1+i0000000000002−2−i2i200000000
χ782-22-2−2i2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-20−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000-222i−2i−1+i1−i−1−i1+i00000−2ζ32ζ3−2ζ2ζ00002−22−2−i2i2−i2i200001−i−1+i1+i−1−i000000000000−22i2−i200000000
χ792-22-2−2i2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-20−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000002-2−2i2i−1+i1−i−1−i1+i00000−2ζ32ζ3−2ζ2ζ0000−22−22i2−i2i2−i20000−1+i1−i−1−i1+i000000000000−22i2−i200000000
χ802-22-2−2i2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2-20−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000-222i−2i−1+i1−i−1−i1+i000002ζ3−2ζ32ζ−2ζ0000−22−22i2−i2i2−i200001−i−1+i1+i−1−i0000000000002−2−i2i200000000
χ8144444444-4-4-400000000-4-4-4-4-400000000000040000000040000000000000000000000000000000000000000000000000000
χ824444-4-4-4-444-400000000-4-4-444000000000000-40000000040000000000000000000000000000000000000000000000000000
χ8344-4-444-4-44-440000000000-4002222−22−222222−22−220000000000000000000000−2222−22220000000000000000000000000000000000000000
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χ874-44-44i−4i4i−4i0002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i-440−4i4i00000000000000000−2−2i2+2i−2+2i2−2i00000000000000000000000000000000000000000000000000000
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χ894-44-4−4i4i−4i4i0002−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i-4404i−4i00000000000000000−2+2i2−2i−2−2i2+2i00000000000000000000000000000000000000000000000000000
χ904-44-4−4i4i−4i4i000−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i-4404i−4i000000000000000002−2i−2+2i2+2i−2−2i00000000000000000000000000000000000000000000000000000
χ914-4-444i−4i−4i4i0002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i00000000000000000000000000−2i2i2i−2i2-2-2200000000000000000000000000000000
χ924-4-444i−4i−4i4i0002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i00000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i000000000000000000000000002i−2i−2i2i-222-200000000000000000000000000000000
χ934-4-444i−4i−4i4i000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i000000000000000000000000002i−2i−2i2i-222-200000000000000000000000000000000
χ944-4-444i−4i−4i4i000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i00000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i00000000000000000000000000−2i2i2i−2i2-2-2200000000000000000000000000000000
χ954-4-44−4i4i4i−4i0002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i000000000000000000000000002i−2i−2i2i2-2-2200000000000000000000000000000000
χ964-4-44−4i4i4i−4i0002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i00000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i00000000000000000000000000−2i2i2i−2i-222-200000000000000000000000000000000
χ974-4-44−4i4i4i−4i000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i00000000000000000000000000−2i2i2i−2i-222-200000000000000000000000000000000
χ984-4-44−4i4i4i−4i000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i00000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i000000000000000000000000002i−2i−2i2i2-2-2200000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.