Finite Group Databasebeta

← Group #498302

Character table — Group #498302

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444488888888161616161616161616161616
order122222224444444444444444888888881616161616161616161616161616161644444488888888888816161616161616161616161616161616161616161616161644444444222244444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ51111111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ61111111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-111-1-1-1-1
χ81111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-111-1-11111
χ911111111-1-1-1-111111-1-1-1-1111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ1011111111-1-1-1-111111-1-1-1-1111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ1111111111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111-1-1
χ1211111111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-111
χ1311111111-1-1-1-11-1-1-1-11111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111
χ1411111111-1-1-1-11-1-1-1-11111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ1511111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ1611111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ171-11-111-1-111-1-1-1ii−i−iii−i−i11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−i1-11-1i−i1-1i−ii−i
χ181-11-111-1-111-1-1-1ii−i−iii−i−i11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111−i−iii-11-11−ii-11−ii−ii
χ191-11-111-1-111-1-1-1ii−i−iii−i−i11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1i−ii−i11-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1−i−iii-11-11−ii1-1i−ii−i
χ201-11-111-1-111-1-1-1ii−i−iii−i−i11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1i−ii−i11-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-111ii−i−i1-11-1i−i-11−ii−ii
χ211-11-111-1-111-1-1-1−i−iii−i−iii11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1−ii−ii11-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1ii−i−i-11-11i−i1-1−ii−ii
χ221-11-111-1-111-1-1-1−i−iii−i−iii11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1−ii−ii11-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-111−i−iii1-11-1−ii-11i−ii−i
χ231-11-111-1-111-1-1-1−i−iii−i−iii11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−iii1-11-1−ii1-1−ii−ii
χ241-11-111-1-111-1-1-1−i−iii−i−iii11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1−ii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111ii−i−i-11-11i−i-11i−ii−i
χ251-11-111-1-1-1-111-1ii−i−i−i−iii11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-11i−i−ii-1-111ii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1ii−i−i1-1-11−ii-11i−i−ii
χ261-11-111-1-1-1-111-1ii−i−i−i−iii11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-11i−i−ii-1-111ii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-111−i−iii-111-1i−i1-1−iii−i
χ271-11-111-1-1-1-111-1ii−i−i−i−iii11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-11i−i−ii-1-111ii−i−i−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1−i−iii-111-1i−i-11i−i−ii
χ281-11-111-1-1-1-111-1ii−i−i−i−iii11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-11i−i−ii-1-111ii−i−i−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-111ii−i−i1-1-11−ii1-1−iii−i
χ291-11-111-1-1-1-111-1−i−iiiii−i−i11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-11−iii−i-1-111−i−iiiii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1ii−i−i-111-1−ii-11−iii−i
χ301-11-111-1-1-1-111-1−i−iiiii−i−i11-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i-11−iii−i-1-111−i−iiiii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-111−i−iii1-1-11i−i1-1i−i−ii
χ311-11-111-1-1-1-111-1−i−iiiii−i−i11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-11−iii−i-1-111−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1−i−iii1-1-11i−i-11−iii−i
χ321-11-111-1-1-1-111-1−i−iiiii−i−i11-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii-11−iii−i-1-111−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-111ii−i−i-111-1−ii1-1i−i−ii
χ33222222222222222222222222-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ342222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ35222222222222-222222222-2-2-2000000002222−2−2−2−22222−2−2−2−2-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−222−2−222−2−200000000000000000000
χ36222222222222-222222222-2-2-200000000−2−2−2−22222−2−2−2−22222-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−222−2−222−2−22200000000000000000000
χ37222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−2-2-2222200000000000022−2−222−2−2−2−222−2−222−2−222−2−22200000000000000000000
χ38222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−22222-2-22222000000000000−2−222−2−22222−2−222−2−222−2−222−2−200000000000000000000
χ3922222222-2-2-2-222222-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000-2-222-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ4022222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222222222-2-2-2-200000000000000000000000000000000000000000000
χ4122222222-2-2-2-2-22222-2-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−222-2-222000000000000−2−222−2−22222−2−222−2−2−2−222−2−22200000000000000000000
χ4222222222-2-2-2-2-22222-2-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−2222222-2-22200000000000022−2−222−2−2−2−222−2−22222−2−222−2−200000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-22222-2-2-2000000002222−2−2−2−22222−2−2−2−22222-2-2000000000000−2−222−2−222−2−222−2−22222−2−222−2−200000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-22222-2-2-200000000−2−2−2−22222−2−2−2−222222222-2-200000000000022−2−222−2−222−2−222−2−2−2−222−2−22200000000000000000000
χ45222-2-2-2-222-22-202i−2i2i−2i2i−2i2i−2i0002−222−2−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ50000002−22−2i2−i2i2−i2i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ46222-2-2-2-222-22-202i−2i2i−2i2i−2i2i−2i0002−222−2−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ50000002−22−2i2−i2i2−i2i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000000000000000
χ47222-2-2-2-222-22-202i−2i2i−2i2i−2i2i−2i000−22−2−222−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000−22−22−i2i2−i2i2−i2i2−i2i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000000000000000
χ48222-2-2-2-222-22-202i−2i2i−2i2i−2i2i−2i000−22−2−222−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000−22−22−i2i2−i2i2−i2i2−i2i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
χ49222-2-2-2-222-22-20−2i2i−2i2i−2i2i−2i2i0002−222−2−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ50000002−22−2−i2i2−i2i2−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000000000000000
χ50222-2-2-2-222-22-20−2i2i−2i2i−2i2i−2i2i0002−222−2−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ50000002−22−2−i2i2−i2i2−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ51222-2-2-2-222-22-20−2i2i−2i2i−2i2i−2i2i000−22−2−222−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7000000−22−22i2−i2i2−i2i2−i2i2−i2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
χ52222-2-2-2-222-22-20−2i2i−2i2i−2i2i−2i2i000−22−2−222−22−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7000000−22−22i2−i2i2−i2i2−i2i2−i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ500000000000000000000
χ53222-2-2-2-22-22-2202i−2i2i−2i−2i2i−2i2i0002−222−2−22−2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5000000−22−22i2−i2i2−i2−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ700000000000000000000
χ54222-2-2-2-22-22-2202i−2i2i−2i−2i2i−2i2i0002−222−2−22−2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5000000−22−22i2−i2i2−i2−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ700000000000000000000
χ55222-2-2-2-22-22-2202i−2i2i−2i−2i2i−2i2i000−22−2−222−22ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ70000002−22−2−i2i2−i2i2i2−i2i2−i2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ500000000000000000000
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χ10044-4-4-444-4000000000000000022−22−222222−22−22222ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ500000000000000000000000000000000000000000000000000000000000000
χ10144-4-4-444-4000000000000000022−22−222222−22−2222−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ500000000000000000000000000000000000000000000000000000000000000
χ10244-4-4-444-40000000000000000−222222−22−222222−222ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ700000000000000000000000000000000000000000000000000000000000000
χ10344-4-4-444-40000000000000000−222222−22−222222−22−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ700000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-44-44000000000000000022−2222−22−2222−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ700000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-44-44000000000000000022−2222−22−2222−2222−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ700000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-44-440000000000000000−2222−222222−2222−222ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ500000000000000000000000000000000000000000000000000000000000000
χ1074-4-44-44-440000000000000000−2222−222222−2222−22−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ500000000000000000000000000000000000000000000000000000000000000
χ1084-4-4-44-4440000400000000-44-40000000022−2222−22−2222−2222−2222−222222−2222−2200000000000000000000000000000000000000000000000000000000000000
χ1094-4-4-44-4440000400000000-44-400000000−2222−222222−2222−2222−2222−22−2222−222200000000000000000000000000000000000000000000000000000000000000
χ1104-4-4-44-4440000-4000000004-44444-44-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000

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