Finite Group Databasebeta

← Group #72229607

Character table — Group #72229607

Order 2688.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145
size11222222244444444444488888888336666666121212121212121212121212242424242424242433666666612121212121212121212121224242424242424247714141414141414282828282828282828282828565656565656565677141414141414142828282828282828282828285656565656565656
order1224488882222444444882244888871414282856565656141414142828282828285656141428285656565671414282856565656141414142828282828285656141428285656565636612122424242466661212121212122424661212242424243661212242424246666121212121212242466121224242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-111-1-11111-1-1-1-111-1-111111111111-1-111-1-11111-1-1-1-111-1-111111111111-1-111-1-11111-1-1-1-111-1-111111111111-1-111-1-11111-1-1-1-111-1-111111111111-1-111-1-11111-1-1-1-111-1-1
χ3111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111
χ4111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111-1-1111-1111-1-1-11-11-11-1-1-11-11111111-1-1111-1111-1-1-11-11-11-1-1-11-11111111-1-1111-1111-1-1-11-11-11-1-1-11-11111111-1-1111-1111-1-1-11-11-11-1-1-11-11111111-1-1111-1111-1-1-11-11-11-1-1-11-1
χ61111111-1-111-1111-11-1-11-1-11-11-1-1-111111111-1-111-1111-11-1-11-1-11-11-1-1-111111111-1-111-1111-11-1-11-1-11-11-1-1-111111111-1-111-1111-11-1-11-1-11-11-1-1-111111111-1-111-1111-11-1-11-1-11-11-1-1-11
χ71111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-11111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-11111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-11111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-11111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-1
χ81111111-1-1-1-1-11-1-1-11-1-11-11-11-111-111111111-1-1-1-1-11-1-1-11-1-11-11-11-111-111111111-1-1-1-1-11-1-1-11-1-11-11-11-111-111111111-1-1-1-1-11-1-1-11-1-11-11-11-111-111111111-1-1-1-1-11-1-1-11-1-11-11-11-111-11
χ911111-1-1111-1111-111-1-1-111-1-111-1-1-111111-1-1111-1111-111-1-1-111-1-111-1-1-111111-1-1111-1111-111-1-1-111-1-111-1-1-111111-1-1111-1111-111-1-1-111-1-111-1-1-111111-1-1111-1111-111-1-1-111-1-111-1-1-1
χ1011111-1-1111-1-1-11-1-1-1-1-1-11-111-11-11111111-1-1111-1-1-11-1-1-1-1-1-11-111-11-11111111-1-1111-1-1-11-1-1-1-1-1-11-111-11-11111111-1-1111-1-1-11-1-1-1-1-1-11-111-11-11111111-1-1111-1-1-11-1-1-1-1-1-11-111-11-111
χ1111111-1-111-1111-1111-1-1-11-111-1-11-1-111111-1-111-1111-1111-1-1-11-111-1-11-1-111111-1-111-1111-1111-1-1-11-111-1-11-1-111111-1-111-1111-1111-1-1-11-111-1-11-1-111111-1-111-1111-1111-1-1-11-111-1-11-1-1
χ1211111-1-111-11-1-1-11-1-1-1-1-111-1-11-111111111-1-111-11-1-1-11-1-1-1-1-111-1-11-111111111-1-111-11-1-1-11-1-1-1-1-111-1-11-111111111-1-111-11-1-1-11-1-1-1-1-111-1-11-111111111-1-111-11-1-1-11-1-1-1-1-111-1-11-1111
χ1311111-1-1-1-11-11-11-11-111-1-111-1-1-11-1111111-1-1-1-11-11-11-11-111-1-111-1-1-11-1111111-1-1-1-11-11-11-11-111-1-111-1-1-11-1111111-1-1-1-11-11-11-11-111-1-111-1-1-11-1111111-1-1-1-11-11-11-11-111-1-111-1-1-11-11
χ1411111-1-1-1-11-1-111-1-1111-1-1-1-111-111-111111-1-1-1-11-1-111-1-1111-1-1-1-111-111-111111-1-1-1-11-1-111-1-1111-1-1-1-111-111-111111-1-1-1-11-1-111-1-1111-1-1-1-111-111-111111-1-1-1-11-1-111-1-1111-1-1-1-111-111-1
χ1511111-1-1-1-1-111-1-111-111-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-1-1111-1-11
χ1611111-1-1-1-1-11-11-11-1111-1-111-1-11-11-111111-1-1-1-1-11-11-11-1111-1-111-1-11-11-111111-1-1-1-1-11-11-11-1111-1-111-1-11-11-111111-1-1-1-1-11-11-11-1111-1-111-1-11-11-111111-1-1-1-1-11-11-11-1111-1-111-1-11-11-1
χ1722-22-20022002-200-22000-20000000022-22-20022002-200-22000-20000000022-22-20022002-200-22000-20000000022-22-20022002-200-22000-20000000022-22-20022002-200-22000-200000000
χ1822-22-2002200-22002-2000-20000000022-22-2002200-22002-2000-20000000022-22-2002200-22002-2000-20000000022-22-2002200-22002-2000-20000000022-22-2002200-22002-2000-200000000
χ1922-22-200-2-2002200-2-200020000000022-22-200-2-2002200-2-200020000000022-22-200-2-2002200-2-200020000000022-22-200-2-2002200-2-200020000000022-22-200-2-2002200-2-2000200000000
χ2022-22-200-2-200-2-2002200020000000022-22-200-2-200-2-2002200020000000022-22-200-2-200-2-2002200020000000022-22-200-2-200-2-2002200020000000022-22-200-2-200-2-20022000200000000
χ2122-2-2222002-200-220000-200000000022-2-2222002-200-220000-200000000022-2-2222002-200-220000-200000000022-2-2222002-200-220000-200000000022-2-2222002-200-220000-2000000000
χ2222-2-222200-22002-20000-200000000022-2-222200-22002-20000-200000000022-2-222200-22002-20000-200000000022-2-222200-22002-20000-200000000022-2-222200-22002-20000-2000000000
χ2322-2-22-2-2002200-2-20000200000000022-2-22-2-2002200-2-20000200000000022-2-22-2-2002200-2-20000200000000022-2-22-2-2002200-2-20000200000000022-2-22-2-2002200-2-200002000000000
χ2422-2-22-2-200-2-200220000200000000022-2-22-2-200-2-200220000200000000022-2-22-2-200-2-200220000200000000022-2-22-2-200-2-200220000200000000022-2-22-2-200-2-2002200002000000000
χ25444-4-4000000000000000000000000444-4-4000000000000000000000000444-4-4000000000000000000000000444-4-4000000000000000000000000444-4-4000000000000000000000000
χ264-40002i2−2i22i2−2i2000000002-200000000004-40002i2−2i22i2−2i2000000002-200000000004-40002i2−2i22i2−2i2000000002-200000000004-40002i2−2i22i2−2i2000000002-200000000004-40002i2−2i22i2−2i2000000002-20000000000
χ274-40002i2−2i2−2i22i200000000-2200000000004-40002i2−2i2−2i22i200000000-2200000000004-40002i2−2i2−2i22i200000000-2200000000004-40002i2−2i2−2i22i200000000-2200000000004-40002i2−2i2−2i22i200000000-220000000000
χ284-4000−2i22i22i2−2i200000000-2200000000004-4000−2i22i22i2−2i200000000-2200000000004-4000−2i22i22i2−2i200000000-2200000000004-4000−2i22i22i2−2i200000000-2200000000004-4000−2i22i22i2−2i200000000-220000000000
χ294-4000−2i22i2−2i22i2000000002-200000000004-4000−2i22i2−2i22i2000000002-200000000004-4000−2i22i2−2i22i2000000002-200000000004-4000−2i22i2−2i22i2000000002-200000000004-4000−2i22i2−2i22i2000000002-20000000000
χ30111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3111111111111-1-111-1-11111-1-1-1-111-1-111111111111-1-111-1-11111-1-1-1-111-1-111111111111-1-111-1-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ32111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ33111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ341111111-1-1111-1111-1-1-11-11-11-1-1-11-11111111-1-1111-1111-1-1-11-11-11-1-1-11-11111111-1-1111-1111-1-1-11-11-11-1-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32
χ351111111-1-111-1111-11-1-11-1-11-11-1-1-111111111-1-111-1111-11-1-11-1-11-11-1-1-111111111-1-111-1111-11-1-11-1-11-11-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32
χ361111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-11111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-11111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ371111111-1-1-1-1-11-1-1-11-1-11-11-11-111-111111111-1-1-1-1-11-1-1-11-1-11-11-11-111-111111111-1-1-1-1-11-1-1-11-1-11-11-11-111-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ3811111-1-1111-1111-111-1-1-111-1-111-1-1-111111-1-1111-1111-111-1-1-111-1-111-1-1-111111-1-1111-1111-111-1-1-111-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ3911111-1-1111-1-1-11-1-1-1-1-1-11-111-11-11111111-1-1111-1-1-11-1-1-1-1-1-11-111-11-11111111-1-1111-1-1-11-1-1-1-1-1-11-111-11-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32
χ4011111-1-111-1111-1111-1-1-11-111-1-11-1-111111-1-111-1111-1111-1-1-11-111-1-11-1-111111-1-111-1111-1111-1-1-11-111-1-11-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32
χ4111111-1-111-11-1-1-11-1-1-1-1-111-1-11-111111111-1-111-11-1-1-11-1-1-1-1-111-1-11-111111111-1-111-11-1-1-11-1-1-1-1-111-1-11-1111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32
χ4211111-1-1-1-11-11-11-11-111-1-111-1-1-11-1111111-1-1-1-11-11-11-11-111-1-111-1-1-11-1111111-1-1-1-11-11-11-11-111-1-111-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ4311111-1-1-1-11-1-111-1-1111-1-1-1-111-111-111111-1-1-1-11-1-111-1-1111-1-1-1-111-111-111111-1-1-1-11-1-111-1-1111-1-1-1-111-111-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ4411111-1-1-1-1-111-1-111-111-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-1-1111-1-11−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ4511111-1-1-1-1-11-11-11-1111-1-111-1-11-11-111111-1-1-1-1-11-11-11-1111-1-111-1-11-11-111111-1-1-1-1-11-11-11-1111-1-111-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ4622-22-20022002-200-22000-20000000022-22-20022002-200-22000-20000000022-22-20022002-200-22000-200000000−1+i3−1+i31−i3−1+i31−i300−1+i3−1+i300−1+i31−i3001−i3−1+i30001−i300000000−1−i3−1−i31+i3−1−i31+i300−1−i3−1−i300−1−i31+i3001+i3−1−i30001+i300000000
χ4722-22-2002200-22002-2000-20000000022-22-2002200-22002-2000-20000000022-22-2002200-22002-2000-200000000−1+i3−1+i31−i3−1+i31−i300−1+i3−1+i3001−i3−1+i300−1+i31−i30001−i300000000−1−i3−1−i31+i3−1−i31+i300−1−i3−1−i3001+i3−1−i300−1−i31+i30001+i300000000
χ4822-22-200-2-2002200-2-200020000000022-22-200-2-2002200-2-200020000000022-22-200-2-2002200-2-2000200000000−1+i3−1+i31−i3−1+i31−i3001−i31−i300−1+i3−1+i3001−i31−i3000−1+i300000000−1−i3−1−i31+i3−1−i31+i3001+i31+i300−1−i3−1−i3001+i31+i3000−1−i300000000
χ4922-22-200-2-200-2-2002200020000000022-22-200-2-200-2-2002200020000000022-22-200-2-200-2-20022000200000000−1+i3−1+i31−i3−1+i31−i3001−i31−i3001−i31−i300−1+i3−1+i3000−1+i300000000−1−i3−1−i31+i3−1−i31+i3001+i31+i3001+i31+i300−1−i3−1−i3000−1−i300000000
χ5022-2-2222002-200-220000-200000000022-2-2222002-200-220000-200000000022-2-2222002-200-220000-2000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i300−1+i31−i3001−i3−1+i300001−i3000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i300−1−i31+i3001+i3−1−i300001+i3000000000
χ5122-2-222200-22002-20000-200000000022-2-222200-22002-20000-200000000022-2-222200-22002-20000-2000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i3−1+i300−1+i31−i300001−i3000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i3−1−i300−1−i31+i300001+i3000000000
χ5222-2-22-2-2002200-2-20000200000000022-2-22-2-2002200-2-20000200000000022-2-22-2-2002200-2-200002000000000−1+i3−1+i31−i31−i3−1+i31−i31−i300−1+i3−1+i3001−i31−i30000−1+i3000000000−1−i3−1−i31+i31+i3−1−i31+i31+i300−1−i3−1−i3001+i31+i30000−1−i3000000000
χ5322-2-22-2-200-2-200220000200000000022-2-22-2-200-2-200220000200000000022-2-22-2-200-2-2002200002000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3001−i31−i300−1+i3−1+i30000−1+i3000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3001+i31+i300−1−i3−1−i30000−1−i3000000000
χ54444-4-4000000000000000000000000444-4-4000000000000000000000000444-4-4000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i3000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i3000000000000000000000000
χ554-40002i2−2i22i2−2i2000000002-200000000004-40002i2−2i22i2−2i2000000002-200000000004-40002i2−2i22i2−2i2000000002-20000000000−2+2i32−2i3000−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ1672ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ167−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ1672ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ16700000000−1+i31−i30000000000−2−2i32+2i3000−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ1572ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ157−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ1572ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ15700000000−1−i31+i30000000000
χ564-40002i2−2i2−2i22i200000000-2200000000004-40002i2−2i2−2i22i200000000-2200000000004-40002i2−2i2−2i22i200000000-220000000000−2+2i32−2i3000−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ1672ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ1672ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ167−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ167000000001−i3−1+i30000000000−2−2i32+2i3000−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ1572ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ1572ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ157−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ157000000001+i3−1−i30000000000
χ574-4000−2i22i22i2−2i200000000-2200000000004-4000−2i22i22i2−2i200000000-2200000000004-4000−2i22i22i2−2i200000000-220000000000−2+2i32−2i30002ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ167−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ167−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ1672ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ167000000001−i3−1+i30000000000−2−2i32+2i30002ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ157−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ157−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ1572ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ157000000001+i3−1−i30000000000
χ584-4000−2i22i2−2i22i2000000002-200000000004-4000−2i22i2−2i22i2000000002-200000000004-4000−2i22i2−2i22i2000000002-20000000000−2+2i32−2i30002ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ167−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ1672ζ5+2ζ23+2ζ29+2ζ47+2ζ53+2ζ71+2ζ95+2ζ101+2ζ125+2ζ143+2ζ149+2ζ167−2ζ5−2ζ23−2ζ29−2ζ47−2ζ53−2ζ71−2ζ95−2ζ101−2ζ125−2ζ143−2ζ149−2ζ16700000000−1+i31−i30000000000−2−2i32+2i30002ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ157−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ1572ζ13+2ζ31+2ζ37+2ζ55+2ζ61+2ζ79+2ζ85+2ζ103+2ζ109+2ζ127+2ζ151+2ζ157−2ζ13−2ζ31−2ζ37−2ζ55−2ζ61−2ζ79−2ζ85−2ζ103−2ζ109−2ζ127−2ζ151−2ζ15700000000−1−i31+i30000000000
χ59111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6011111111111-1-111-1-11111-1-1-1-111-1-111111111111-1-111-1-11111-1-1-1-111-1-111111111111-1-111-1-11111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ61111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111111111111-1-111-1-1111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ62111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ631111111-1-1111-1111-1-1-11-11-11-1-1-11-11111111-1-1111-1111-1-1-11-11-11-1-1-11-11111111-1-1111-1111-1-1-11-11-11-1-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32
χ641111111-1-111-1111-11-1-11-1-11-11-1-1-111111111-1-111-1111-11-1-11-1-11-11-1-1-111111111-1-111-1111-11-1-11-1-11-11-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32
χ651111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-11111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-11111111-1-1-1-11-1-1-11-1-1-11-1-11-11111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32
χ661111111-1-1-1-1-11-1-1-11-1-11-11-11-111-111111111-1-1-1-1-11-1-1-11-1-11-11-11-111-111111111-1-1-1-1-11-1-1-11-1-11-11-11-111-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ6711111-1-1111-1111-111-1-1-111-1-111-1-1-111111-1-1111-1111-111-1-1-111-1-111-1-1-111111-1-1111-1111-111-1-1-111-1-111-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32
χ6811111-1-1111-1-1-11-1-1-1-1-1-11-111-11-11111111-1-1111-1-1-11-1-1-1-1-1-11-111-11-11111111-1-1111-1-1-11-1-1-1-1-1-11-111-11-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32
χ6911111-1-111-1111-1111-1-1-11-111-1-11-1-111111-1-111-1111-1111-1-1-11-111-1-11-1-111111-1-111-1111-1111-1-1-11-111-1-11-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32
χ7011111-1-111-11-1-1-11-1-1-1-1-111-1-11-111111111-1-111-11-1-1-11-1-1-1-1-111-1-11-111111111-1-111-11-1-1-11-1-1-1-1-111-1-11-1111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32
χ7111111-1-1-1-11-11-11-11-111-1-111-1-1-11-1111111-1-1-1-11-11-11-11-111-1-111-1-1-11-1111111-1-1-1-11-11-11-11-111-1-111-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ7211111-1-1-1-11-1-111-1-1111-1-1-1-111-111-111111-1-1-1-11-1-111-1-1111-1-1-1-111-111-111111-1-1-1-11-1-111-1-1111-1-1-1-111-111-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ7311111-1-1-1-1-111-1-111-111-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-1-1111-1-1111111-1-1-1-1-111-1-111-111-1-1-1-1111-1-11−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ7411111-1-1-1-1-11-11-11-1111-1-111-1-11-11-111111-1-1-1-1-11-11-11-1111-1-111-1-11-11-111111-1-1-1-1-11-11-11-1111-1-111-1-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
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Here ζ is a primitive root of unity of order 168 (ζ168 = 1); i = ζ42.