Finite Group Databasebeta

← Group #11771534

Character table — Group #11771534

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11111111222244444444444444444444888888888888888888888888999999991818181818181818181818181818181818181818363636363636363636363636
order122244444444223344666666121212121212121266666666121212121212121212121212121212128888888888881616161616161616161616161616161688881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii
χ5111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−i−i−iiiii
χ8111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111iiii−i−i−i−i
χ91111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ101111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ111111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ121111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ131111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−iii−i−iii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ141111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−iii−i−iii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ151111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iii−i−iii−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ161111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iii−i−iii−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ1711-1-1i−ii−i1-1i−i1-111i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−iζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζζ−ζ−ζζ5ζ5−ζ5−ζ5ζ3ζ3−ζ3−ζ3ζ7ζ7−ζ7−ζ7ζ2−ζ2ζ6−ζ6ζ−ζζ5−ζ5ζ3−ζ3ζ7−ζ7
χ1811-1-1i−ii−i1-1i−i1-111i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−iζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6−ζ−ζζζ−ζ5−ζ5ζ5ζ5−ζ3−ζ3ζ3ζ3−ζ7−ζ7ζ7ζ7ζ2−ζ2ζ6−ζ6−ζζ−ζ5ζ5−ζ3ζ3−ζ7ζ7
χ1911-1-1i−ii−i1-1i−i1-111i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6ζ5ζ5−ζ5−ζ5−ζ−ζζζ−ζ7−ζ7ζ7ζ7ζ3ζ3−ζ3−ζ3−ζ2ζ2−ζ6ζ6ζ5−ζ5−ζζ−ζ7ζ7ζ3−ζ3
χ2011-1-1i−ii−i1-1i−i1-111i−i11-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iiiii−i−i−i−i−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ5−ζ5ζ5ζ5ζζ−ζ−ζζ7ζ7−ζ7−ζ7−ζ3−ζ3ζ3ζ3−ζ2ζ2−ζ6ζ6−ζ5ζ5ζ−ζζ7−ζ7−ζ3ζ3
χ2111-1-1i−ii−i1-1i−i-1111−ii11-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiiiζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζζ−ζ−ζζ5ζ5−ζ5−ζ5ζ3ζ3−ζ3−ζ3ζ7ζ7−ζ7−ζ7−ζ2ζ2−ζ6ζ6−ζζ−ζ5ζ5−ζ3ζ3−ζ7ζ7
χ2211-1-1i−ii−i1-1i−i-1111−ii11-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiiiζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6−ζ−ζζζ−ζ5−ζ5ζ5ζ5−ζ3−ζ3ζ3ζ3−ζ7−ζ7ζ7ζ7−ζ2ζ2−ζ6ζ6ζ−ζζ5−ζ5ζ3−ζ3ζ7−ζ7
χ2311-1-1i−ii−i1-1i−i-1111−ii11-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6ζ5ζ5−ζ5−ζ5−ζ−ζζζ−ζ7−ζ7ζ7ζ7ζ3ζ3−ζ3−ζ3ζ2−ζ2ζ6−ζ6−ζ5ζ5ζ−ζζ7−ζ7−ζ3ζ3
χ2411-1-1i−ii−i1-1i−i-1111−ii11-1-1-1-1iiii−i−i−i−i-1-1-1-1111111-1-1ii−i−i−i−i−i−iiiii−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ5−ζ5ζ5ζ5ζζ−ζ−ζζ7ζ7−ζ7−ζ7−ζ3−ζ3ζ3ζ3ζ2−ζ2ζ6−ζ6ζ5−ζ5−ζζ−ζ7ζ7ζ3−ζ3
χ2511-1-1−ii−ii1-1−ii1-111−ii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiiiζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ3ζ3−ζ3−ζ3−ζ7−ζ7ζ7ζ7−ζ−ζζζζ5ζ5−ζ5−ζ5ζ6−ζ6ζ2−ζ2ζ3−ζ3−ζ7ζ7−ζζζ5−ζ5
χ2611-1-1−ii−ii1-1−ii1-111−ii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiiiζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2−ζ3−ζ3ζ3ζ3ζ7ζ7−ζ7−ζ7ζζ−ζ−ζ−ζ5−ζ5ζ5ζ5ζ6−ζ6ζ2−ζ2−ζ3ζ3ζ7−ζ7ζ−ζ−ζ5ζ5
χ2711-1-1−ii−ii1-1−ii1-111−ii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2ζ7ζ7−ζ7−ζ7ζ3ζ3−ζ3−ζ3ζ5ζ5−ζ5−ζ5ζζ−ζ−ζ−ζ6ζ6−ζ2ζ2ζ7−ζ7ζ3−ζ3ζ5−ζ5ζ−ζ
χ2811-1-1−ii−ii1-1−ii1-111−ii11-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−i−i−iiiii−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ7−ζ7ζ7ζ7−ζ3−ζ3ζ3ζ3−ζ5−ζ5ζ5ζ5−ζ−ζζζ−ζ6ζ6−ζ2ζ2−ζ7ζ7−ζ3ζ3−ζ5ζ5−ζζ
χ2911-1-1−ii−ii1-1−ii-1111i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−iζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ3ζ3−ζ3−ζ3−ζ7−ζ7ζ7ζ7−ζ−ζζζζ5ζ5−ζ5−ζ5−ζ6ζ6−ζ2ζ2−ζ3ζ3ζ7−ζ7ζ−ζ−ζ5ζ5
χ3011-1-1−ii−ii1-1−ii-1111i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−iζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2−ζ3−ζ3ζ3ζ3ζ7ζ7−ζ7−ζ7ζζ−ζ−ζ−ζ5−ζ5ζ5ζ5−ζ6ζ6−ζ2ζ2ζ3−ζ3−ζ7ζ7−ζζζ5−ζ5
χ3111-1-1−ii−ii1-1−ii-1111i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2ζ7ζ7−ζ7−ζ7ζ3ζ3−ζ3−ζ3ζ5ζ5−ζ5−ζ5ζζ−ζ−ζζ6−ζ6ζ2−ζ2−ζ7ζ7−ζ3ζ3−ζ5ζ5−ζζ
χ3211-1-1−ii−ii1-1−ii-1111i−i11-1-1-1-1−i−i−i−iiiii-1-1-1-1111111-1-1−i−iiiiiii−i−i−i−i−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ7−ζ7ζ7ζ7−ζ3−ζ3ζ3ζ3−ζ5−ζ5ζ5ζ5−ζ−ζζζζ6−ζ6ζ2−ζ2ζ7−ζ7ζ3−ζ3ζ5−ζ5ζ−ζ
χ3322222222-2-2-2-20022002222222222222200000000-2-2-2-2-2-2-2-20000000022222222-2-2-2-20000000000000000000000000000
χ3422222222-2-2-2-20022002222222222222200000000-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-222220000000000000000000000000000
χ352222-2-2-2-2-2-222002200222222-2-2-2-2-2-2-2-200000000-2-2-2-22222000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ362222-2-2-2-2-2-222002200222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ3722-2-22i−2i2i−2i-22−2i2i00220022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-2-222−2i−2i2i2i000000002ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ60000000000000000000000000000
χ3822-2-22i−2i2i−2i-22−2i2i00220022-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000-2-222−2i−2i2i2i00000000−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ60000000000000000000000000000
χ3922-2-2−2i2i−2i2i-222i−2i00220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-2-2222i2i−2i−2i000000002ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ20000000000000000000000000000
χ4022-2-2−2i2i−2i2i-222i−2i00220022-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000-2-2222i2i−2i−2i00000000−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ20000000000000000000000000000
χ412-22-22i−2i−2i2i0000002200-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ20000ζ−ζ5−ζ+ζ5ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7000000000000
χ422-22-22i−2i−2i2i0000002200-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ20000−ζ+ζ5ζ−ζ5−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7000000000000
χ432-22-22i−2i−2i2i0000002200-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ20000ζ+ζ5−ζ−ζ5ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7000000000000
χ442-22-22i−2i−2i2i0000002200-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ20000−ζ−ζ5ζ+ζ5−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7000000000000
χ452-22-2−2i2i2i−2i0000002200-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ60000ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ−ζ5ζ+ζ5000000000000
χ462-22-2−2i2i2i−2i0000002200-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ60000−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ+ζ5−ζ−ζ5000000000000
χ472-22-2−2i2i2i−2i0000002200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ60000ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ−ζ5−ζ+ζ5000000000000
χ482-22-2−2i2i2i−2i0000002200-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ60000−ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ+ζ5ζ−ζ5000000000000
χ492-2-2222-2-20000002200-2-2-2-22222-2-2-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i00001−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i000000000000
χ502-2-2222-2-20000002200-2-2-2-22222-2-2-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i000000000000
χ512-2-2222-2-20000002200-2-2-2-22222-2-2-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i00001+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i000000000000
χ522-2-2222-2-20000002200-2-2-2-22222-2-2-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i000000000000
χ532-2-22-2-2220000002200-2-2-2-222-2-22222-2-20000000000000000000000002222-2-2-2-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000
χ542-2-22-2-2220000002200-2-2-2-222-2-22222-2-20000000000000000000000002222-2-2-2-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000
χ552-2-22-2-2220000002200-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-2222200002−2−22−222−2−222−2−222−2000000000000
χ562-2-22-2-2220000002200-2-2-2-222-2-22222-2-2000000000000000000000000-2-2-2-222220000−222−22−2−222−2−222−2−22000000000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.