Finite Group Databasebeta

← Group #13016191

Character table — Group #13016191

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111111111111144444444444444444444888888888888888888888888888810101010101010101010101010101010202020202020202020202020202020202020202020202020202020202020202040404040
order12222222444444444444510101010101010202020202020202044442020202020202020202020202020202020202020202020202222444444444444888888888888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111
χ8111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111
χ911111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ1011111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ1211111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111
χ1411111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111
χ1511111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ1611111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ171-1-1111-1-11111-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1111-1-1-1-11ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−i
χ181-1-1111-1-11111-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1111-1-1-1-11−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111i−ii−i
χ191-1-1111-1-11111-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-1-11111-111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−ii−ii
χ201-1-1111-1-11111-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-1-11111-1-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−ii
χ211-1-1111-1-11111-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1111-1-1-1-11ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−ii−ii
χ221-1-1111-1-11111-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1111-1-1-1-11−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii
χ231-1-1111-1-11111-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-1-11111-111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i
χ241-1-1111-1-11111-1-1-1-11-11-11-1-1111-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-1-11111-1-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i
χ251-1-1111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-1-11111-111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−ii−i−ii
χ261-1-1111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ271-1-1111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111111-1-1-1-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1−iii−i
χ281-1-1111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111111-1-1-1-11−i−iiiii−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111−iii−i
χ291-1-1111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-1-11111-111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−iii−i
χ301-1-1111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ311-1-1111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111111-1-1-1-11ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-1-111i−i−ii
χ321-1-1111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1-1-11111−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111111-1-1-1-11−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1i−i−ii
χ332222222222222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-22-2-222-2-22000000000000000000000000000000000000
χ342222222222222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222-222-2-222-2000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-20000-2-2-2-2222200000000000000002222-2-2-2-2-222-2-222-2000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-20000-2-2-2-222220000000000000000-2-2-2-222222-2-222-2-22000000000000000000000000000000000000
χ372222-2-2-2-222-2-222-2-200002222-2-2-2-222-2-222-2-200000000000000000000000000002-22-200002002-200-22−22−22−22−22−22−22−22−200000000000000000000
χ382222-2-2-2-222-2-222-2-200002222-2-2-2-222-2-222-2-200000000000000000000000000002-22-200002002-200-2−22−22−22−22−22−22−22−2200000000000000000000
χ392222-2-2-2-222-2-222-2-200002222-2-2-2-222-2-222-2-20000000000000000000000000000-22-220000-200-22002i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000000000
χ402222-2-2-2-222-2-222-2-200002222-2-2-2-222-2-222-2-20000000000000000000000000000-22-220000-200-22002−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000000000
χ412222-2-2-2-2-2-222-2-22200002222-2-2-2-2-2-222-2-22200000000000000000000000000002-22-20000-200-22002i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ422222-2-2-2-2-2-222-2-22200002222-2-2-2-2-2-222-2-22200000000000000000000000000002-22-20000-200-22002−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ432222-2-2-2-2-2-222-2-22200002222-2-2-2-2-2-222-2-2220000000000000000000000000000-22-2200002002-200-22−22−2−22−22−22−222−22−200000000000000000000
χ442222-2-2-2-2-2-222-2-22200002222-2-2-2-2-2-222-2-2220000000000000000000000000000-22-2200002002-200-2−22−222−22−22−22−2−22−2200000000000000000000
χ4522-2-22-22-22i−2i2i−2i2i−2i2i−2i000022-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002i−2i2i−2i02-2002-2000000000000000002−22−2i2−i2i2−i2i2−i2i2−i22−22−20000
χ4622-2-22-22-22i−2i2i−2i2i−2i2i−2i000022-2-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002i−2i2i−2i02-2002-200000000000000000−22−22−i2i2−i2i2−i2i2−i2i2−22−220000
χ4722-2-22-22-22i−2i2i−2i2i−2i2i−2i000022-2-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−2i2i−2i2i0-2200-2200000000000000000i2−i2i2−i2−22−222−22−2−i2i2−i2i20000
χ4822-2-22-22-22i−2i2i−2i2i−2i2i−2i000022-2-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−2i2i−2i2i0-2200-2200000000000000000−i2i2−i2i22−22−2−22−22i2−i2i2−i20000
χ4922-2-22-22-2−2i2i−2i2i−2i2i−2i2i000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002i−2i2i−2i0-2200-2200000000000000000i2−i2i2−i22−22−2−22−22−i2i2−i2i20000
χ5022-2-22-22-2−2i2i−2i2i−2i2i−2i2i000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002i−2i2i−2i0-2200-2200000000000000000−i2i2−i2i2−22−222−22−2i2−i2i2−i20000
χ5122-2-22-22-2−2i2i−2i2i−2i2i−2i2i000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i02-2002-2000000000000000002−22−2−i2i2−i2i2−i2i2−i2i22−22−20000
χ5222-2-22-22-2−2i2i−2i2i−2i2i−2i2i000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i02-2002-200000000000000000−22−22i2−i2i2−i2i2−i2i2−i2−22−220000
χ532-22-22-2-222i−2i2i−2i−2i2i−2i2i00002-22-22-2-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000002i−2i−2i2i02-200-22000000000000000002−2−22i2−i2−i2i2i2−i2−i2i22−2−220000
χ542-22-22-2-222i−2i2i−2i−2i2i−2i2i00002-22-22-2-222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000002i−2i−2i2i02-200-2200000000000000000−222−2−i2i2i2−i2−i2i2i2−i2−222−20000
χ552-22-22-2-222i−2i2i−2i−2i2i−2i2i00002-22-22-2-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000−2i2i2i−2i0-22002-200000000000000000i2−i2−i2i2−222−22−2−22−i2i2i2−i20000
χ562-22-22-2-222i−2i2i−2i−2i2i−2i2i00002-22-22-2-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000−2i2i2i−2i0-22002-200000000000000000−i2i2i2−i22−2−22−222−2i2−i2−i2i20000
χ572-22-22-2-22−2i2i−2i2i2i−2i2i−2i00002-22-22-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000002i−2i−2i2i0-22002-200000000000000000i2−i2−i2i22−2−22−222−2−i2i2i2−i20000
χ582-22-22-2-22−2i2i−2i2i2i−2i2i−2i00002-22-22-2-22−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000002i−2i−2i2i0-22002-200000000000000000−i2i2i2−i2−222−22−2−22i2−i2−i2i20000
χ592-22-22-2-22−2i2i−2i2i2i−2i2i−2i00002-22-22-2-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000−2i2i2i−2i02-200-22000000000000000002−2−22−i2i2i2−i2−i2i2i2−i22−2−220000
χ602-22-22-2-22−2i2i−2i2i2i−2i2i−2i00002-22-22-2-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000−2i2i2i−2i02-200-2200000000000000000−222−2i2−i2−i2i2i2−i2−i2i2−222−20000
χ612-2-2222-2-22222-2-2-2-2-22-222-2-2222-2-22222-2-2-2-20000-2-222-2-222000000000000000022-2-2-2-2222-2-2-2-2222000000000000000000000000000000000000
χ622-2-2222-2-22222-2-2-2-2-22-222-2-2222-2-22222-2-2-2-20000-2-222-2-2220000000000000000-2-22222-2-2-22222-2-2-2000000000000000000000000000000000000
χ632-2-2222-2-2-2-2-2-22222-222-22-2-2222-2-2-2-2-2-222220000-2-22222-2-2000000000000000022-2-2-2-222-22222-2-2-2000000000000000000000000000000000000
χ642-2-2222-2-2-2-2-2-22222-222-22-2-2222-2-2-2-2-2-222220000-2-22222-2-20000000000000000-2-22222-2-22-2-2-2-2222000000000000000000000000000000000000
χ652-2-22-2-22222-2-2-2-22200002-2-22-2-22222-2-2-2-22200000000000000000000000000002-2-220000200-2200-2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000000000000000
χ662-2-22-2-22222-2-2-2-22200002-2-22-2-22222-2-2-2-22200000000000000000000000000002-2-220000200-2200-2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000000000000000
χ672-2-22-2-22222-2-2-2-22200002-2-22-2-22222-2-2-2-2220000000000000000000000000000-222-20000-2002-20022−2−222−2−22−222−2−222−200000000000000000000
χ682-2-22-2-22222-2-2-2-22200002-2-22-2-22222-2-2-2-2220000000000000000000000000000-222-20000-2002-2002−222−2−222−22−2−222−2−2200000000000000000000
χ692-2-22-2-222-2-22222-2-200002-2-22-2-222-2-22222-2-200000000000000000000000000002-2-220000-2002-20022−2−22−222−22−2−22−222−200000000000000000000
χ702-2-22-2-222-2-22222-2-200002-2-22-2-222-2-22222-2-200000000000000000000000000002-2-220000-2002-2002−222−22−2−22−222−22−2−2200000000000000000000
χ712-2-22-2-222-2-22222-2-200002-2-22-2-222-2-22222-2-20000000000000000000000000000-222-20000200-2200-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000000000000000
χ722-2-22-2-222-2-22222-2-200002-2-22-2-222-2-22222-2-20000000000000000000000000000-222-20000200-2200-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000000000000000
χ7344444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ7444444444444444444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000000000000000000000000
χ754444444444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100001111111155−5−555−5−555−5−555−5−50000000000000000000000000000000000000000000000000000
χ764444444444444444-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000011111111−5−555−5−555−5−555−5−5550000000000000000000000000000000000000000000000000000
χ7744444444-4-4-4-4-4-4-4-444-4-4-1-1-1-1-1-1-1-11111111144-4-4-1-1-1-11111-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000000000000000
χ7844444444-4-4-4-4-4-4-4-444-4-4-1-1-1-1-1-1-1-111111111-4-444-1-1-1-1111111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ7944444444-4-4-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-11111111100001111-1-1-1-155−5−555−5−5−5−555−5−5550000000000000000000000000000000000000000000000000000
χ8044444444-4-4-4-4-4-4-4-4-4-444-1-1-1-1-1-1-1-11111111100001111-1-1-1-1−5−555−5−55555−5−555−5−50000000000000000000000000000000000000000000000000000
χ8144-4-4-44-444i−4i−4i4i4i−4i−4i4i000044-4-4-44-444i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-4-44-444i−4i−4i4i4i−4i−4i4i0000-1-1111-11-1−iii−i−iii−i00005−55−5i5−i5i5−i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360000000000000000000000000000000000000000000000000000
χ8344-4-4-44-444i−4i−4i4i4i−4i−4i4i0000-1-1111-11-1−iii−i−iii−i00005−55−5i5−i5i5−i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360000000000000000000000000000000000000000000000000000
χ8444-4-4-44-444i−4i−4i4i4i−4i−4i4i0000-1-1111-11-1−iii−i−iii−i0000−55−55−i5i5−i5i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360000000000000000000000000000000000000000000000000000
χ8544-4-4-44-444i−4i−4i4i4i−4i−4i4i0000-1-1111-11-1−iii−i−iii−i0000−55−55−i5i5−i5i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360000000000000000000000000000000000000000000000000000
χ8644-4-4-44-44−4i4i4i−4i−4i4i4i−4i000044-4-4-44-44−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-44-44−4i4i4i−4i−4i4i4i−4i0000-1-1111-11-1i−i−iii−i−ii00005−55−5−i5i5−i5i5−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ360000000000000000000000000000000000000000000000000000
χ8844-4-4-44-44−4i4i4i−4i−4i4i4i−4i0000-1-1111-11-1i−i−iii−i−ii00005−55−5−i5i5−i5i5ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ360000000000000000000000000000000000000000000000000000
χ8944-4-4-44-44−4i4i4i−4i−4i4i4i−4i0000-1-1111-11-1i−i−iii−i−ii0000−55−55i5−i5i5−i5ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ360000000000000000000000000000000000000000000000000000
χ9044-4-4-44-44−4i4i4i−4i−4i4i4i−4i0000-1-1111-11-1i−i−iii−i−ii0000−55−55i5−i5i5−i5−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ360000000000000000000000000000000000000000000000000000
χ914-44-4-444-44i−4i−4i4i−4i4i4i−4i00004-44-4-444-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ924-44-4-444-44i−4i−4i4i−4i4i4i−4i0000-11-111-1-11−iii−ii−i−ii00005−5−55i5−i5−i5i5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000000000000000000000000000000000000000000
χ934-44-4-444-44i−4i−4i4i−4i4i4i−4i0000-11-111-1-11−iii−ii−i−ii00005−5−55i5−i5−i5i5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000000000000000000000000000000000000000000
χ944-44-4-444-44i−4i−4i4i−4i4i4i−4i0000-11-111-1-11−iii−ii−i−ii0000−555−5−i5i5i5−i5−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000000000000000000000000000000000000000000
χ954-44-4-444-44i−4i−4i4i−4i4i4i−4i0000-11-111-1-11−iii−ii−i−ii0000−555−5−i5i5i5−i5ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000000000000000000000000000000000000000000
χ964-44-4-444-4−4i4i4i−4i4i−4i−4i4i00004-44-4-444-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-444-4−4i4i4i−4i4i−4i−4i4i0000-11-111-1-11i−i−ii−iii−i00005−5−55−i5i5i5−i5−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ380000000000000000000000000000000000000000000000000000
χ984-44-4-444-4−4i4i4i−4i4i−4i−4i4i0000-11-111-1-11i−i−ii−iii−i00005−5−55−i5i5i5−i5ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ380000000000000000000000000000000000000000000000000000
χ994-44-4-444-4−4i4i4i−4i4i−4i−4i4i0000-11-111-1-11i−i−ii−iii−i0000−555−5i5−i5−i5i5−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ380000000000000000000000000000000000000000000000000000
χ1004-44-4-444-4−4i4i4i−4i4i−4i−4i4i0000-11-111-1-11i−i−ii−iii−i0000−555−5i5−i5−i5i5ζ4+ζ12−ζ28−ζ36−ζ4−ζ12+ζ28+ζ36ζ4−ζ12+ζ28−ζ36−ζ4+ζ12−ζ28+ζ36−ζ4−ζ12+ζ28+ζ36ζ4+ζ12−ζ28−ζ36−ζ4+ζ12−ζ28+ζ36ζ4−ζ12+ζ28−ζ36ζ6−ζ14−ζ22+ζ38−ζ6+ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14+ζ22−ζ38ζ6−ζ14−ζ22+ζ38ζ6−ζ14+ζ22−ζ38−ζ6+ζ14−ζ22+ζ380000000000000000000000000000000000000000000000000000
χ1014-4-4444-4-44444-4-4-4-44-44-4-111-1-1-111-1-1-1-111114i−4i4i−4i-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii0000000000000000000000000000000000000000000000000000
χ1024-4-4444-4-44444-4-4-4-44-44-4-111-1-1-111-1-1-1-11111−4i4i−4i4i-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i0000000000000000000000000000000000000000000000000000
χ1034-4-4444-4-44444-4-4-4-4-44-44-111-1-1-111-1-1-1-11111000011-1-111-1-1i5i5−i5−i5−i5−i5i5i5i5i5−i5−i5−i5−i5i5i50000000000000000000000000000000000000000000000000000
χ1044-4-4444-4-44444-4-4-4-4-44-44-111-1-1-111-1-1-1-11111000011-1-111-1-1−i5−i5i5i5i5i5−i5−i5−i5−i5i5i5i5i5−i5−i50000000000000000000000000000000000000000000000000000
χ1054-4-4444-4-4-4-4-4-444444-4-44-111-1-1-1111111-1-1-1-14i−4i−4i4i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000000000000000000000000000
χ1064-4-4444-4-4-4-4-4-444444-4-44-111-1-1-1111111-1-1-1-1−4i4i4i−4i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000000000000000000000000000000000000000
χ1074-4-4444-4-4-4-4-4-44444-444-4-111-1-1-1111111-1-1-1-1000011-1-1-1-111i5i5−i5−i5−i5−i5i5i5−i5−i5i5i5i5i5−i5−i50000000000000000000000000000000000000000000000000000
χ1084-4-4444-4-4-4-4-4-44444-444-4-111-1-1-1111111-1-1-1-1000011-1-1-1-111−i5−i5i5i5i5i5−i5−i5i5i5−i5−i5−i5−i5i5i50000000000000000000000000000000000000000000000000000
χ1098888-8-8-8-888-8-888-8-80000-2-2-2-22222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108888-8-8-8-8-8-888-8-8880000-2-2-2-2222222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-88-88-88i−8i8i−8i8i−8i8i−8i0000-2-222-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-88-8−8i8i−8i8i−8i8i−8i8i0000-2-222-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-88-8-888i−8i8i−8i−8i8i−8i8i0000-22-22-222-2−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-88-8-88−8i8i−8i8i8i−8i8i−8i0000-22-22-222-22i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-8-88888-8-8-8-8880000-222-222-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-8-888-8-88888-8-80000-222-222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.