Finite Group Databasebeta

← Group #498000

Character table — Group #498000

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444488888888161616161616161616161616
order122222224444444444444444888888881616161616161616161616161616161644444488888888888816161616161616161616161616161616161616161616161644444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ5111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ6111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ8111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-111
χ911111111-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1
χ1011111111-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ1511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ1711-1-1-1-11111-1-1ii−i−iii−i−i-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1i−ii−ii−ii−i1-11-1
χ1811-1-1-1-11111-1-1ii−i−iii−i−i-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−ii−i1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−ii−ii−ii−ii-11-11
χ1911-1-1-1-11111-1-1ii−i−iii−i−i-111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111i−ii−i1-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111i−ii−i−ii−ii1-1-11
χ2011-1-1-1-11111-1-1ii−i−iii−i−i-111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111i−ii−i1-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1−ii−iii−ii−i-111-1
χ2111-1-1-1-11111-1-1−i−iii−i−iii-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−ii−ii−ii−ii1-11-1
χ2211-1-1-1-11111-1-1−i−iii−i−iii-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−ii−ii1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111i−ii−ii−ii−i-11-11
χ2311-1-1-1-11111-1-1−i−iii−i−iii-111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−ii−ii1-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111−ii−iii−ii−i1-1-11
χ2411-1-1-1-11111-1-1−i−iii−i−iii-111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−ii−ii1-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1i−ii−i−ii−ii-111-1
χ2511-1-1-1-111-1-111ii−i−i−i−iii-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1i−i−iii−i−ii-11-11
χ2611-1-1-1-111-1-111ii−i−i−i−iii-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1i−i−ii-11-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111−iii−i−iii−i1-11-1
χ2711-1-1-1-111-1-111ii−i−i−i−iii-111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111i−i−ii-11-1-111ii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111i−i−ii−iii−i-111-1
χ2811-1-1-1-111-1-111ii−i−i−i−iii-111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111i−i−ii-11-1-111ii−i−i−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−iii−ii−i−ii1-1-11
χ2911-1-1-1-111-1-111−i−iiiii−i−i-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−iii−i-11-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1−iii−i−iii−i-11-11
χ3011-1-1-1-111-1-111−i−iiiii−i−i-111-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−iii−i-11-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111i−i−iii−i−ii1-11-1
χ3111-1-1-1-111-1-111−i−iiiii−i−i-111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−iii−i-11-1-111−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−iii−ii−i−ii-111-1
χ3211-1-1-1-111-1-111−i−iiiii−i−i-111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−iii−i-11-1-111−i−iiiii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1i−i−ii−iii−i1-1-11
χ33222222222222222222222222-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-2000000002222−2−2−2−22222−2−2−2−2-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−222−2−222−2−200000000000000000000
χ3522222222222222222222-2-2-2-200000000−2−2−2−22222−2−2−2−22222-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−222−2−222−2−22200000000000000000000
χ36222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222-2-2-2-22222222200000000000000000000000000000000000000000000
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−22222-2-200000000000022−2−222−2−2−2−222−2−222−2−222−2−22200000000000000000000
χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−222222222-2-2000000000000−2−222−2−22222−2−222−2−222−2−222−2−200000000000000000000
χ3922222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ4022222222-2-2-2-22222-2-2-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−2-2-22222000000000000−2−222−2−22222−2−222−2−2−2−222−2−22200000000000000000000
χ4122222222-2-2-2-22222-2-2-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−22222-2-2222200000000000022−2−222−2−2−2−222−2−22222−2−222−2−200000000000000000000
χ4222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-2-222-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-22222-2-2-2-2000000002222−2−2−2−22222−2−2−2−222-2-222000000000000−2−222−2−222−2−222−2−22222−2−222−2−200000000000000000000
χ4422222222-2-2-2-2-2-2-2-22222-2-2-2-200000000−2−2−2−22222−2−2−2−2222222-2-22200000000000022−2−222−2−222−2−222−2−2−2−222−2−22200000000000000000000
χ4522-2-2-2-22222-2-22i2i−2i−2i2i2i−2i−2i2-2-22000000002222−2−2−2−2−2−2−2−22222−2i2i−2i2i-2200000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ4622-2-2-2-22222-2-22i2i−2i−2i2i2i−2i−2i2-2-2200000000−2−2−2−222222222−2−2−2−2−2i2i−2i2i-22000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ4722-2-2-2-22222-2-22i2i−2i−2i2i2i−2i−2i-222-222-2-2-2-22200000000000000002i−2i2i−2i2-2-2-222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ4822-2-2-2-22222-2-2−2i−2i2i2i−2i−2i2i2i2-2-22000000002222−2−2−2−2−2−2−2−222222i−2i2i−2i-2200000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ4922-2-2-2-22222-2-2−2i−2i2i2i−2i−2i2i2i2-2-2200000000−2−2−2−222222222−2−2−2−22i−2i2i−2i-22000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ5022-2-2-2-22222-2-2−2i−2i2i2i−2i−2i2i2i-222-222-2-2-2-2220000000000000000−2i2i−2i2i2-2-2-2222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000
χ5122-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2-2-22000000002222−2−2−2−2−2−2−2−22222−2i2i2i−2i2-2000000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ5222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i2-2-2200000000−2−2−2−222222222−2−2−2−2−2i2i2i−2i2-200000000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ5322-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i-222-222-2-2-2-22200000000000000002i−2i−2i2i-2222-2-2−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000
χ5422-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i2-2-22000000002222−2−2−2−2−2−2−2−222222i−2i−2i2i2-2000000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000000000000000
χ5522-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i2-2-2200000000−2−2−2−222222222−2−2−2−22i−2i−2i2i2-200000000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000000000000000
χ5622-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i-222-222-2-2-2-2220000000000000000−2i2i2i−2i-2222-2-22i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000
χ572-222-2-22-200000000000022-2-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000002i−2i2i−2i2-22-2000000000000
χ582-222-2-22-200000000000022-2-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000−2i2i−2i2i-22-22000000000000
χ592-222-2-22-200000000000022-2-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000002i−2i2i−2i-22-22000000000000
χ602-222-2-22-200000000000022-2-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000−2i2i−2i2i2-22-2000000000000
χ612-22-22-2-222i−2i2i−2i2-22-22i−2i2i−2i00002−22−22−22−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000i2−i2i2−i22−22−2i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ700000000000000000000
χ622-22-22-2-222i−2i2i−2i2-22-22i−2i2i−2i00002−22−22−22−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000i2−i2i2−i22−22−2i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ700000000000000000000
χ632-22-22-2-222i−2i2i−2i2-22-22i−2i2i−2i0000−22−22−22−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000−i2i2−i2i2−22−22−i2i2−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ500000000000000000000
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χ962-2-2-2222-2000000000000-22-222222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000−2i2i2i−2i2-2-22000000000000
χ97444-4-44-4-4000000000000000022−22−222222−22−22222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ500000000000000000000000000000000000000000000000000000000000000
χ98444-4-44-4-4000000000000000022−22−222222−22−2222−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ500000000000000000000000000000000000000000000000000000000000000
χ99444-4-44-4-40000000000000000−222222−22−222222−222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ700000000000000000000000000000000000000000000000000000000000000
χ100444-4-44-4-40000000000000000−222222−22−222222−22−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ700000000000000000000000000000000000000000000000000000000000000
χ10144-444-4-4-4000000000000000022−2222−22−2222−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ700000000000000000000000000000000000000000000000000000000000000
χ10244-444-4-4-4000000000000000022−2222−22−2222−2222−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ700000000000000000000000000000000000000000000000000000000000000
χ10344-444-4-4-40000000000000000−2222−222222−2222−222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ500000000000000000000000000000000000000000000000000000000000000
χ10444-444-4-4-40000000000000000−2222−222222−2222−22−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ500000000000000000000000000000000000000000000000000000000000000
χ1054-444-4-44-400000000000044-4-444-4-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-444-4-44-4000000000000-4-444000000002i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000000000000000000000000000
χ1074-444-4-44-4000000000000-4-44400000000−2i2−2i22i22i22i22i2−2i2−2i2−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000000000000000000000000000
χ1084-4-4-4444-40000000000004-44-4000000002i22i2−2i2−2i2−2i2−2i22i22i2−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000000000000000000000000000000000000000
χ1094-4-4-4444-40000000000004-44-400000000−2i2−2i22i22i22i22i2−2i2−2i22i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000000000000000000000000000000000000000
χ1104-4-4-4444-4000000000000-44-44-4-4-4-44444000000000000000000000000000000000000000000000000000000000000000000000000000000

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