Finite Group Databasebeta

← Group #72343517

Character table — Group #72343517

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size1111111122222222222244444444444444448888888888888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232
order1222222244444444444422448888888888884488888888881616161616161616161616161616161622224444888888888888161616161616161624448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ911111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ1111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111111
χ1211111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111111111-1-1-1-11111-111-1-1-1-1-1
χ1311111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-111111-1-11-1-1-1-1
χ1411111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-11111
χ1511111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ1611111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111
χ171111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1-11-11i−ii−i
χ181111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111i−ii−i−i−iii−i−iii11-1-111-1-11-11-1−ii−ii
χ191111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111i−ii−i−i−iiiii−i−i-1-111-1-11111-1-1−iii−i
χ201111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1i−ii−iii−i−i−i−iii-1-111-1-111-1-111i−i−ii
χ211111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111−ii−iiii−i−i−i−iii-1-111-1-11111-1-1i−i−ii
χ221111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−ii−ii−i−iiiii−i−i-1-111-1-111-1-111−iii−i
χ231111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1-11-11−ii−ii
χ241111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−ii−iiii−i−iii−i−i11-1-111-1-11-11-1i−ii−i
χ251111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1i−i−iiii−i−i−i−iii11-1-1-1-1111-11-1−iii−i
χ261111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111i−i−ii−i−iiiii−i−i11-1-1-1-111-11-11i−i−ii
χ271111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111i−i−ii−i−iii−i−iii-1-11111-1-1-1-111i−ii−i
χ281111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1i−i−iiii−i−iii−i−i-1-11111-1-111-1-1−ii−ii
χ291111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−iii−iii−i−iii−i−i-1-11111-1-1-1-111−ii−ii
χ301111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−iii−i−i−iii−i−iii-1-11111-1-111-1-1i−ii−i
χ311111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−iii−i−i−iiiii−i−i11-1-1-1-1111-11-1i−i−ii
χ321111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−iii−iii−i−i−i−iii11-1-1-1-111-11-11−iii−i
χ33222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2000000000000000000000000-2-222000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2222200000000000000000000000022-2-2000000000000000000000000
χ3522222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222000000000000000000000000-2-2-2-2000000000000000000000000
χ3622222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000000000000000000002222000000000000000000000000
χ372222222222-2-222-2-2-2-2-2-22222222222-2-2-2-222-2-2-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000−2i2i2i−2i000000000000000000000000
χ382222222222-2-222-2-2-2-2-2-22222222222-2-2-2-222-2-2-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002i−2i−2i2i000000000000000000000000
χ392222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000000000000000000000
χ402222222222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000000000000000000000
χ4122-222-2-2-22-22i−2i2-22i2i−2i−2i2i−2i00000022-2-2000000002i−2i2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000002−2i2−i2i2−i22−200000000
χ4222-222-2-2-22-22i−2i2-22i2i−2i−2i2i−2i00000022-2-2000000002i−2i2ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000−22−i2i2−i2i2−2200000000
χ4322-222-2-2-22-22i−2i2-22i2i−2i−2i2i−2i00000022-2-2000000002i−2i−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000−22−i2i2−i2i2−2200000000
χ4422-222-2-2-22-22i−2i2-22i2i−2i−2i2i−2i00000022-2-2000000002i−2i−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000002−2i2−i2i2−i22−200000000
χ4522-222-2-2-22-22i−2i2-22i2i−2i−2i2i−2i000000-2-22200000000−2i2i2ζ−2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ2ζ1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000002−2i2−i2−i2i2−2200000000
χ4622-222-2-2-22-22i−2i2-22i2i−2i−2i2i−2i000000-2-22200000000−2i2i2ζ−2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ2ζ−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000−22−i2i2i2−i22−200000000
χ4722-222-2-2-22-22i−2i2-22i2i−2i−2i2i−2i000000-2-22200000000−2i2i−2ζ2ζ−2ζ32ζ32ζ3−2ζ32ζ−2ζ1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000−22−i2i2i2−i22−200000000
χ4822-222-2-2-22-22i−2i2-22i2i−2i−2i2i−2i000000-2-22200000000−2i2i−2ζ2ζ−2ζ32ζ32ζ3−2ζ32ζ−2ζ−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000002−2i2−i2−i2i2−2200000000
χ4922-222-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i00000022-2-200000000−2i2i2ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ31−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000−22i2−i2i2−i2−2200000000
χ5022-222-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i00000022-2-200000000−2i2i2ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ3−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000002−2−i2i2−i2i22−200000000
χ5122-222-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i00000022-2-200000000−2i2i−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ31−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000002−2−i2i2−i2i22−200000000
χ5222-222-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i00000022-2-200000000−2i2i−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000−22i2−i2i2−i2−2200000000
χ5322-222-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i000000-2-222000000002i−2i2ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ32ζ31−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000−22i2−i2−i2i22−200000000
χ5422-222-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i000000-2-222000000002i−2i2ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ32ζ3−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000002−2−i2i2i2−i2−2200000000
χ5522-222-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i000000-2-222000000002i−2i−2ζ32ζ3−2ζ2ζ2ζ−2ζ2ζ3−2ζ31−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000002−2−i2i2i2−i2−2200000000
χ5622-222-2-2-22-2−2i2i2-2−2i−2i2i2i−2i2i000000-2-222000000002i−2i−2ζ32ζ3−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000−22i2−i2−i2i22−200000000
χ572-222-22-2-22-22i−2i-222i−2i2i−2i−2i2i00002i−2i000022-2-22i−2i0000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000000002-2002i−2i0000002ζ3−2ζ32ζ−2ζ00000000000000000000
χ582-222-22-2-22-22i−2i-222i−2i2i−2i−2i2i00002i−2i000022-2-22i−2i0000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000000-2200−2i2i000000−2ζ32ζ3−2ζ2ζ00000000000000000000
χ592-222-22-2-22-22i−2i-222i−2i2i−2i−2i2i00002i−2i000022-2-22i−2i000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000002-2002i−2i000000−2ζ32ζ3−2ζ2ζ00000000000000000000
χ602-222-22-2-22-22i−2i-222i−2i2i−2i−2i2i00002i−2i000022-2-22i−2i000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000000-2200−2i2i0000002ζ3−2ζ32ζ−2ζ00000000000000000000
χ612-222-22-2-22-2−2i2i-22−2i2i−2i2i2i−2i0000−2i2i000022-2-2−2i2i0000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000000002-200−2i2i0000002ζ−2ζ2ζ3−2ζ300000000000000000000
χ622-222-22-2-22-2−2i2i-22−2i2i−2i2i2i−2i0000−2i2i000022-2-2−2i2i0000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000000-22002i−2i000000−2ζ2ζ−2ζ32ζ300000000000000000000
χ632-222-22-2-22-2−2i2i-22−2i2i−2i2i2i−2i0000−2i2i000022-2-2−2i2i000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000002-200−2i2i000000−2ζ2ζ−2ζ32ζ300000000000000000000
χ642-222-22-2-22-2−2i2i-22−2i2i−2i2i2i−2i0000−2i2i000022-2-2−2i2i000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000000-22002i−2i0000002ζ−2ζ2ζ3−2ζ300000000000000000000
χ652-2-22-2-222-2-22222-222-2-2-200002200002-22-2-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i002-2002-2000000002i−2i2i−2i0000000000000000
χ662-2-22-2-222-2-22222-222-2-2-200002200002-22-2-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i00-2200-2200000000−2i2i−2i2i0000000000000000
χ672-2-22-2-222-2-22222-222-2-2-200002200002-22-2-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i002-2002-200000000−2i2i−2i2i0000000000000000
χ682-2-22-2-222-2-22222-222-2-2-200002200002-22-2-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i00-2200-22000000002i−2i2i−2i0000000000000000
χ692-2-22-2-222-2-2-2-2222-2-22220000-2-200002-22-222000000000000000000002-22-2-22-22002-200-22000000002-2-220000000000000000
χ702-2-22-2-222-2-2-2-2222-2-22220000-2-200002-22-222000000000000000000002-22-2-22-2200-22002-200000000-222-20000000000000000
χ712-2-22-2-222-2-2-2-2222-2-22220000-2-200002-22-22200000000000000000000-22-222-22-2002-200-2200000000-222-20000000000000000
χ722-2-22-2-222-2-2-2-2222-2-22220000-2-200002-22-22200000000000000000000-22-222-22-200-22002-2000000002-2-220000000000000000
χ7344444444-4-444-4-4-4-4-4-44444-4-40000000000004-400000000000000000000000000000000000000000000000000000000000000
χ7444444444-4-444-4-4-4-4-4-444-4-444000000000000-4400000000000000000000000000000000000000000000000000000000000000
χ7544444444-4-4-4-4-4-44444-4-444-4-4000000000000-4400000000000000000000000000000000000000000000000000000000000000
χ7644444444-4-4-4-4-4-44444-4-4-4-4440000000000004-400000000000000000000000000000000000000000000000000000000000000
χ7744-444-4-4-4-444i−4i-44−4i−4i4i4i4i−4i00004i−4i00004-4-44−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ7844-444-4-4-4-444i−4i-44−4i−4i4i4i4i−4i0000−4i4i0000-444-44i−4i0000000000000000000000000000000000000000000000000000000000000000
χ7944-444-4-4-4-44−4i4i-444i4i−4i−4i−4i4i00004i−4i0000-444-4−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ8044-444-4-4-4-44−4i4i-444i4i−4i−4i−4i4i0000−4i4i00004-4-444i−4i0000000000000000000000000000000000000000000000000000000000000000
χ814-444-44-4-44-44i−4i-444i−4i4i−4i−4i4i0000−4i4i0000-4-444−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ824-444-44-4-44-4−4i4i-44−4i4i−4i4i4i−4i00004i−4i0000-4-4444i−4i0000000000000000000000000000000000000000000000000000000000000000
χ834-444-44-4-4-444i−4i4-4−4i4i−4i4i−4i4i0000000000000000000000000000000000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000
χ844-444-44-4-4-444i−4i4-4−4i4i−4i4i−4i4i000000000000000000000000000000000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000
χ854-444-44-4-4-44−4i4i4-44i−4i4i−4i4i−4i0000000000000000000000000000000000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000
χ864-444-44-4-4-44−4i4i4-44i−4i4i−4i4i−4i000000000000000000000000000000000000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000
χ874-4-44-4-4444444-4-44-4-44-4-400000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000000000
χ884-4-44-4-4444444-4-44-4-44-4-40000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000000000
χ894-4-44-4-44444-4-4-4-4-444-444000000000000000000000000000022−22−2222−222222−2200000000000000000000000000000000000000000000
χ904-4-44-4-44444-4-4-4-4-444-4440000000000000000000000000000−222222−2222−22−222200000000000000000000000000000000000000000000
χ914-4-44-4-444-4-44444-444-4-4-40000-4-40000-44-44440000000000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-444-4-4-4-4444-4-44440000440000-44-44-4-40000000000000000000000000000000000000000000000000000000000000000
χ93888-8-8-88-8000000000000008i−8i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ94888-8-8-88-800000000000000−8i8i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-88-880000000000008-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-88-88000000000000-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88-88-8-8800000000000000000042−4242−420000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-88-8-88000000000000000000−4242−42420000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-8-8888-800000000000000000042−42−42420000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8-8888-8000000000000000000−424242−420000000000000000000000000000000000000000000000000000000000000000000000

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