Finite Group Databasebeta

← Group #12039

Character table — Group #12039

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111111111111222222222222222222222222222222222222222222222222222222228888888888888888
order12224444888888884444888888888888888888881616161616161616161616161616161616161616161616161616161616161616224488881616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-1-1111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11-1-1-111ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-1111-1-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-11-1-1-111−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-1111-1-1ii−i−i−i−iii
χ171111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ611-1-1i−ii−iζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6
χ181111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-1-111−ii−ii−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6
χ191111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ611-1-1i−ii−i−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6
χ201111-1-1-1-1ii−i−iii−i−i11-1-11111-1-1-1-1iiii−i−i−i−iii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-1-111−ii−iiζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6
χ211111-1-1-1-1ii−i−iii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ61-1-11i−i−iiζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6
χ221111-1-1-1-1ii−i−iii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6-111-1−iii−i−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6
χ231111-1-1-1-1ii−i−iii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ61-1-11i−i−ii−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6
χ241111-1-1-1-1ii−i−iii−i−i11-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6-111-1−iii−iζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6
χ251111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ211-1-1−ii−iiζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2
χ261111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-1-111i−ii−i−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2
χ271111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ211-1-1−ii−ii−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2
χ281111-1-1-1-1−i−iii−i−iii11-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-1-111i−ii−iζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2
χ291111-1-1-1-1−i−iii−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ21-1-11−iii−iζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2
χ301111-1-1-1-1−i−iii−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2-111-1i−i−ii−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2
χ311111-1-1-1-1−i−iii−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ21-1-11−iii−i−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2
χ321111-1-1-1-1−i−iii−i−iii11-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2-111-1i−i−iiζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2
χ332222222222222222-2-2-2-20000000000000000-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ342222222222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ372222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2220000000000000000−2i−2i2i2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ600000000000000000000000000000000
χ382222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-2220000000000000000−2i−2i2i2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ62ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ600000000000000000000000000000000
χ392222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-22200000000000000002i2i−2i−2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ200000000000000000000000000000000
χ402222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-22200000000000000002i2i−2i−2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ22ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ200000000000000000000000000000000
χ4122-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6000022−2−2i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ700000000ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ50000000000000000
χ4222-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6000022−2−2i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ700000000−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ50000000000000000
χ4322-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ60000−2−222−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ700000000−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ50000000000000000
χ4422-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ60000−2−222−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ700000000ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ50000000000000000
χ4522-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6000022−2−2i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ300000000ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ50000000000000000
χ4622-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6000022−2−2i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ300000000−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ50000000000000000
χ4722-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ60000−2−222−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ300000000−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ50000000000000000
χ4822-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ60000−2−222−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i0000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ300000000ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ50000000000000000
χ4922-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2000022−2−2−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ500000000ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ70000000000000000
χ5022-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2000022−2−2−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ500000000−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ70000000000000000
χ5122-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ20000−2−222i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ500000000−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ70000000000000000
χ5222-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ20000−2−222i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ500000000ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ70000000000000000
χ5322-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2000022−2−2−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ00000000−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ70000000000000000
χ5422-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2000022−2−2−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i0000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ00000000ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ70000000000000000
χ5522-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ20000−2−222i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ00000000ζ−ζ5ζ−ζ5−ζ+ζ5−ζ+ζ5−ζ−ζ5−ζ−ζ5ζ+ζ5ζ+ζ5−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ70000000000000000
χ5622-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ20000−2−222i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ00000000−ζ+ζ5−ζ+ζ5ζ−ζ5ζ−ζ5ζ+ζ5ζ+ζ5−ζ−ζ5−ζ−ζ5ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ70000000000000000
χ572-22-22i−2i−2i2i2ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ22-22i−2i00000000000000002ζ6−2ζ62ζ2−2ζ200000000000000002ζ7−2ζ72ζ7−2ζ72ζ3−2ζ32ζ3−2ζ32ζ5−2ζ52ζ5−2ζ52ζ−2ζ2ζ−2ζ0000000000000000
χ582-22-22i−2i−2i2i2ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ22-22i−2i00000000000000002ζ6−2ζ62ζ2−2ζ20000000000000000−2ζ72ζ7−2ζ72ζ7−2ζ32ζ3−2ζ32ζ3−2ζ52ζ5−2ζ52ζ5−2ζ2ζ−2ζ2ζ0000000000000000
χ592-22-22i−2i−2i2i2ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ2-22−2i2i2-22-22i−2i2i−2i2ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ2−2ζ62ζ6−2ζ22ζ2000000000000000000000000000000000000000000000000
χ602-22-22i−2i−2i2i2ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ2-22−2i2i-22-22−2i2i−2i2i−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2000000000000000000000000000000000000000000000000
χ612-22-22i−2i−2i2i−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ22-22i−2i0000000000000000−2ζ62ζ6−2ζ22ζ200000000000000002ζ3−2ζ32ζ3−2ζ3−2ζ72ζ7−2ζ72ζ7−2ζ2ζ−2ζ2ζ2ζ5−2ζ52ζ5−2ζ50000000000000000
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χ702-22-2−2i2i2i−2i−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ62-2−2i2i0000000000000000−2ζ22ζ2−2ζ62ζ60000000000000000−2ζ2ζ−2ζ2ζ−2ζ52ζ5−2ζ52ζ5−2ζ32ζ3−2ζ32ζ3−2ζ72ζ7−2ζ72ζ70000000000000000
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χ722-22-2−2i2i2i−2i−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6-222i−2i-22-222i−2i2i−2i2ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6000000000000000000000000000000000000000000000000
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χ842-2-22-2-2222222-2-2-2-20000−222−22−2−22−222−22−2−22000000000000−2i2i2i−2i2i−2i−2i2i−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ852-2-22-2-222-2-2-2-2222200002−2−22−222−2−222−22−2−220000000000002-2-222-2-22−222−2−222−2−222−22−2−220000000000000000
χ862-2-22-2-222-2-2-2-2222200002−2−22−222−2−222−22−2−22000000000000-222-2-222-22−2−222−2−222−2−22−222−20000000000000000
χ872-2-22-2-222-2-2-2-222220000−222−22−2−222−2−22−222−20000000000002-2-222-2-222−2−222−2−222−2−22−222−20000000000000000
χ882-2-22-2-222-2-2-2-222220000−222−22−2−222−2−22−222−2000000000000-222-2-222-2−222−2−222−2−222−22−2−220000000000000000

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