Finite Group Databasebeta

← Group #10696462

Character table — Group #10696462

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order122222223444444446666666121212121212121244888888881212121212121212242424242424242424242424242424244444888812121212121212122424242424242424444488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000022-2-200002222-2-2-2-200000000000000000000
χ10222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000-2-2220000-2-2-2-2222200000000000000000000
χ11222222222-2-2-22222-2222222222222222-2-200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000022-2-200000000
χ12222222222-2-2-22222-2222222222222222-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-22200000000
χ13222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-222220000000000000000000000000000000000000000000000002-200
χ14222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-22200000000-2-2-2-22222000000000000000000000000000000000000000000000000-2200
χ1522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ1722222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ1822222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ1922222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-1111133333333−3−3−3−3−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−3000000000000
χ2022222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-1111133333333−3−3−3−3−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−33333000000000000
χ2122222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−3−3−3−3−33333333322-2-20000-1-1-1-11111−3−3−3−33333000000000000
χ2222222222-1222-2-2-2-22-1-1-1-1-1-1-111111111-2-200000000-1-1-1-11111−3−3−3−3−3−3−3−333333333-2-22200001111-1-1-1-13333−3−3−3−3000000000000
χ232222-2-2-2-2222-20000-222-2-2-22-200000000002222−2−2−2−222-2-200002222−2−2−2−22222−2−2−2−2002-222−2−2000022-2-222−2−222−2−2000000000000
χ242222-2-2-2-2222-20000-222-2-2-22-200000000002222−2−2−2−222-2-200002222−2−2−2−22222−2−2−2−200-22−2−2220000-2-222−2−222−2−222000000000000
χ252222-2-2-2-2222-20000-222-2-2-22-20000000000−2−2−2−2222222-2-20000−2−2−2−22222−2−2−2−22222002-2−2−222000022-2-2−2−222−2−222000000000000
χ262222-2-2-2-2222-20000-222-2-2-22-20000000000−2−2−2−2222222-2-20000−2−2−2−22222−2−2−2−2222200-2222−2−20000-2-22222−2−222−2−2000000000000
χ272222-2-2-2-2-122-20000-2-1-1111-11333−3−3−33−3002222−2−2−2−2-1-1113−33−3ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23002-222−2−233−3−3-1-111ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000
χ282222-2-2-2-2-122-20000-2-1-1111-11333−3−3−33−3002222−2−2−2−2-1-1113−33−3ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ2300-22−2−222−3−33311-1-1−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000
χ292222-2-2-2-2-122-20000-2-1-1111-11333−3−3−33−300−2−2−2−22222-1-1113−33−3−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23002-2−2−22233−3−3-1-111−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000
χ302222-2-2-2-2-122-20000-2-1-1111-11333−3−3−33−300−2−2−2−22222-1-1113−33−3−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ2300-2222−2−2−3−33311-1-1ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000
χ312222-2-2-2-2-122-20000-2-1-1111-11−3−3−3333−33002222−2−2−2−2-1-111−33−33ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7002-222−2−2−3−333-1-111ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000000000000
χ322222-2-2-2-2-122-20000-2-1-1111-11−3−3−3333−33002222−2−2−2−2-1-111−33−33ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ700-22−2−22233−3−311-1-1−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000000000000
χ332222-2-2-2-2-122-20000-2-1-1111-11−3−3−3333−3300−2−2−2−22222-1-111−33−33−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7002-2−2−222−3−333-1-111−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23000000000000
χ342222-2-2-2-2-122-20000-2-1-1111-11−3−3−3333−3300−2−2−2−22222-1-111−33−33−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ700-2222−2−233−3−311-1-1ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23000000000000
χ3522-2-2-22-22200022-2-202-22-22-2-222-222-2-2-20022−2−222−2−20000000022−2−222−2−222−2−222−2−2000000000000000000000000002i−2i−i2−i2i2i20000
χ3622-2-2-22-22200022-2-202-22-22-2-222-222-2-2-20022−2−222−2−20000000022−2−222−2−222−2−222−2−200000000000000000000000000−2i2ii2i2−i2−i20000
χ3722-2-2-22-22200022-2-202-22-22-2-222-222-2-2-200−2−222−2−22200000000−2−222−2−222−2−222−2−222000000000000000000000000002i−2ii2i2−i2−i20000
χ3822-2-2-22-22200022-2-202-22-22-2-222-222-2-2-200−2−222−2−22200000000−2−222−2−222−2−222−2−22200000000000000000000000000−2i2i−i2−i2i2i20000
χ392-22-2-2-22220002-22-20-22-222-2-22-222-22-2-2002−22−22−22−2000000002−22−22−22−22−22−22−22−20000000000000000000000002i−2i00−i2i2−i2i20000
χ402-22-2-2-22220002-22-20-22-222-2-22-222-22-2-2002−22−22−22−2000000002−22−22−22−22−22−22−22−2000000000000000000000000−2i2i00i2−i2i2−i20000
χ412-22-2-2-22220002-22-20-22-222-2-22-222-22-2-200−22−22−22−2200000000−22−22−22−22−22−22−22−220000000000000000000000002i−2i00i2−i2i2−i20000
χ422-22-2-2-22220002-22-20-22-222-2-22-222-22-2-200−22−22−22−2200000000−22−22−22−22−22−22−22−22000000000000000000000000−2i2i00−i2i2−i2i20000
χ432-2-222-2-2222-222-2-22-2-2-2-2-22222-2-22-2-222-222-2-222-2-222-22-2-2-2222-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ442-2-222-2-2222-222-2-22-2-2-2-2-22222-2-22-2-222-22-222-2-222-22-22-2-2-222-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ452-2-222-2-2222-22-222-2-2-2-2-2-2222-222-222-2-22-2000000002-22-222-2-2000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000
χ462-2-222-2-2222-22-222-2-2-2-2-2-2222-222-222-2-22-2000000002-22-222-2-200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000
χ472-2-222-2-222-22-22-2-222-2-2-2-22222-2-22-2-2222-200000000-22-2222-2-2000000000000000000000000000000000000000000002-2-220000
χ482-2-222-2-222-22-22-2-222-2-2-2-22222-2-22-2-2222-200000000-22-2222-2-200000000000000000000000000000000000000000000-222-20000
χ492-2-222-2-222-22-2-222-22-2-2-2-2222-222-222-2-2-2200000000-22-22-2-222000000000000000000000000000000000000000000000000002-2
χ502-2-222-2-222-22-2-222-22-2-2-2-2222-222-222-2-2-2200000000-22-22-2-22200000000000000000000000000000000000000000000000000-22
χ512-2-222-2-22-12-222-2-22-21111-1-1-1-111-111-1-1-222-2-222-2-22-11-1111-1-1-111-1-111-1-111-1-111-100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3000000000000
χ522-2-222-2-22-12-222-2-22-21111-1-1-1-111-111-1-1-222-2-222-2-22-11-1111-1-1-111-1-111-1-111-1-111-100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000
χ532-2-222-2-22-12-222-2-22-21111-1-1-1-111-111-1-1-22-222-2-222-2-11-1111-1-11-1-111-1-111-1-111-1-1100000000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000
χ542-2-222-2-22-12-222-2-22-21111-1-1-1-111-111-1-1-22-222-2-222-2-11-1111-1-11-1-111-1-111-1-111-1-1100000000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000
χ552-2-222-2-22-12-22-222-2-21111-1-1-11-1-11-1-1112-200000000-11-11-1-1113−3−333−3−33−333−3−333−300002i−2i2i−2i−i3i3−i3i3i3−i3i3−i3−ii−ii−ii−ii000000000000
χ562-2-222-2-22-12-22-222-2-21111-1-1-11-1-11-1-1112-200000000-11-11-1-1113−3−333−3−33−333−3−333−30000−2i2i−2i2ii3−i3i3−i3−i3i3−i3i3i−ii−ii−ii−i000000000000
χ572-2-222-2-22-12-22-222-2-21111-1-1-11-1-11-1-1112-200000000-11-11-1-111−333−3−333−33−3−333−3−3300002i−2i2i−2ii3−i3i3−i3−i3i3−i3i3−ii−ii−ii−ii000000000000
χ582-2-222-2-22-12-22-222-2-21111-1-1-11-1-11-1-1112-200000000-11-11-1-111−333−3−333−33−3−333−3−330000−2i2i−2i2i−i3i3−i3i3i3−i3i3−i3i−ii−ii−ii−i000000000000
χ592-2-22-222-222-2-200002-2-222-22-200000000002−2−22−222−22-2-2200002−2−22−222−22−2−22−222−22i−2i00−i2i2i2−i22i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i2000000000000
χ602-2-22-222-222-2-200002-2-222-22-200000000002−2−22−222−22-2-2200002−2−22−222−22−2−22−222−2−2i2i00i2−i2−i2i2−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i2000000000000
χ612-2-22-222-222-2-200002-2-222-22-20000000000−222−22−2−222-2-220000−222−22−2−22−222−22−2−222i−2i00i2−i2−i2i22i−2i−2i2i0000i2−i2−i2i2i2−i2−i2i2000000000000
χ622-2-22-222-222-2-200002-2-222-22-20000000000−222−22−2−222-2-220000−222−22−2−22−222−22−2−22−2i2i00−i2i2i2−i2−2i2i2i−2i0000−i2i2i2−i2−i2i2i2−i2000000000000
χ632-2-22-222-2-12-2-20000211-1-11-113−3−3−3333−3002−2−22−222−2-111-1−333−3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ232i−2i00−i2i2i2−i2−iii−i−i3i3i3−i3ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ642-2-22-222-2-12-2-20000211-1-11-113−3−3−3333−3002−2−22−222−2-111-1−333−3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−2i2i00i2−i2−i2i2i−i−iii3−i3−i3i3−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ652-2-22-222-2-12-2-20000211-1-11-113−3−3−3333−300−222−22−2−22-111-1−333−3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ232i−2i00i2−i2−i2i2−iii−i−i3i3i3−i3−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ662-2-22-222-2-12-2-20000211-1-11-113−3−3−3333−300−222−22−2−22-111-1−333−3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−2i2i00−i2i2i2−i2i−i−iii3−i3−i3i3ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ672-2-22-222-2-12-2-20000211-1-11-11−3333−3−3−33002−2−22−222−2-111-13−3−33ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ72i−2i00−i2i2i2−i2−iii−ii3−i3−i3i3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ682-2-22-222-2-12-2-20000211-1-11-11−3333−3−3−33002−2−22−222−2-111-13−3−33ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−2i2i00i2−i2−i2i2i−i−ii−i3i3i3−i3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ692-2-22-222-2-12-2-20000211-1-11-11−3333−3−3−3300−222−22−2−22-111-13−3−33−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ72i−2i00i2−i2−i2i2−iii−ii3−i3−i3i3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ702-2-22-222-2-12-2-20000211-1-11-11−3333−3−3−3300−222−22−2−22-111-13−3−33−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−2i2i00−i2i2i2−i2i−i−ii−i3i3i3−i3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ7144444444-2-4-4-44444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-400000000222222220000000000000000000000000000000000000000000000000000
χ7244444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-22222222244000000002222-2-2-2-20000000000000000000000000000000000000000000000000000
χ734444-4-4-4-44-4-440000444-4-4-44-4000000000000000000-4-44400000000000000000000000000000000000000000000000000000000
χ744444-4-4-4-4-2-4-4400004-2-2222-22232323−23−23−2323−23000000000022-2-2−2323−23230000000000000000000000000000000000000000000000000000
χ754444-4-4-4-4-2-4-4400004-2-2222-22−23−23−23232323−2323000000000022-2-223−2323−230000000000000000000000000000000000000000000000000000
χ7644-4-44-44-44000000004-4-44-4-44000000000022-2-2-2-2220000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ7744-4-44-44-44000000004-4-44-4-440000000000-2-22222-2-200000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000
χ7844-4-44-44-4-200000000-222-222-22323−23−23−2323−23230022-2-2-2-22200000000−1+3−1+31−31−31−31−3−1+3−1+3−1−3−1−31+31+31+31+3−1−3−1−3000000000000000000000000000000000000
χ7944-4-44-44-4-200000000-222-222-22323−23−23−2323−232300-2-22222-2-2000000001−31−3−1+3−1+3−1+3−1+31−31−31+31+3−1−3−1−3−1−3−1−31+31+3000000000000000000000000000000000000
χ8044-4-44-44-4-200000000-222-222-2−23−23232323−2323−230022-2-2-2-22200000000−1−3−1−31+31+31+31+3−1−3−1−3−1+3−1+31−31−31−31−3−1+3−1+3000000000000000000000000000000000000
χ8144-4-44-44-4-200000000-222-222-2−23−23232323−2323−2300-2-22222-2-2000000001+31+3−1−3−1−3−1−3−1−31+31+31−31−3−1+3−1+3−1+3−1+31−31−3000000000000000000000000000000000000
χ8244-4-4-44-444000-4-44404-44-44-4-4-4-44-4-44440000000000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-44-44-200044-4-40-22-22-222-2-22-2-2222002222−22−222222−22−2200000000−2−222−2−222−2−222−2−222000000000000000000000000000000000000
χ8444-4-4-44-44-200044-4-40-22-22-222-2-22-2-222200−22−222222−22−2222220000000022−2−222−2−222−2−222−2−2000000000000000000000000000000000000
χ8544-4-4-44-44-2000-4-4440-22-22-22222-222-2-2-200000000000000000066−6−666−6−6−6−666−6−666000000000000000000000000000000000000
χ8644-4-4-44-44-2000-4-4440-22-22-22222-222-2-2-2000000000000000000−6−666−6−66666−6−666−6−6000000000000000000000000000000000000
χ874-44-444-4-4400000000-444-4-4-4400000000002-22-2-22-22000000002-22-2-22-222-22-2-22-22000000000000000000000000000000000000
χ884-44-444-4-4400000000-444-4-4-440000000000-22-222-22-200000000-22-222-22-2-22-222-22-2000000000000000000000000000000000000
χ894-44-444-4-4-2000000002-2-2222-223−2323−2323−23−2323002-22-2-22-2200000000−1+31−3−1+31−31−3−1+31−3−1+3−1−31+3−1−31+31+3−1−31+3−1−3000000000000000000000000000000000000
χ904-44-444-4-4-2000000002-2-2222-223−2323−2323−23−232300-22-222-22-2000000001−3−1+31−3−1+3−1+31−3−1+31−31+3−1−31+3−1−3−1−31+3−1−31+3000000000000000000000000000000000000
χ914-44-444-4-4-2000000002-2-2222-2−2323−2323−232323−23002-22-2-22-2200000000−1−31+3−1−31+31+3−1−31+3−1−3−1+31−3−1+31−31−3−1+31−3−1+3000000000000000000000000000000000000
χ924-44-444-4-4-2000000002-2-2222-2−2323−2323−232323−2300-22-222-22-2000000001+3−1−31+3−1−3−1−31+3−1−31+31−3−1+31−3−1+3−1+31−3−1+31−3000000000000000000000000000000000000
χ934-44-4-4-4444000-44-440-44-444-4-4-44-4-44-4440000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-4-444-20004-44-402-22-2-222-22-2-22-2220022−2222−2222−2222−2200000000−22−22−22−22−22−22−22−22000000000000000000000000000000000000
χ954-44-4-4-444-20004-44-402-22-2-222-22-2-22-22200−2222−2222−2222−2222000000002−22−22−22−22−22−22−22−2000000000000000000000000000000000000
χ964-44-4-4-444-2000-44-4402-22-2-2222-222-22-2-20000000000000000006−66−66−66−6−66−66−66−66000000000000000000000000000000000000
χ974-44-4-4-444-2000-44-4402-22-2-2222-222-22-2-2000000000000000000−66−66−66−666−66−66−66−6000000000000000000000000000000000000
χ984-4-444-4-44-2-44-44-4-4442222-2-2-2-222-222-2-24-4000000002-22-2-2-2220000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-2-44-4-444-442222-2-2-22-2-22-2-222-44000000002-22-222-2-20000000000000000000000000000000000000000000000000000
χ1004-4-44-444-44-4440000-4-4-444-44-4000000000000000000-444-400000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-4-2-4440000-422-2-22-2223−23−23−23232323−2300000000002-2-2223−23−23230000000000000000000000000000000000000000000000000000
χ1024-4-44-444-4-2-4440000-422-2-22-22−23232323−23−23−232300000000002-2-22−232323−230000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.