Finite Group Databasebeta

← Group #152823

Character table — Group #152823

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222222222222222222222444444444444444444448888888888888888161616161616161632323232
order12442224444444888816161616161616164488888816161616161616161616161632323232323232323232323232323232888888882488
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-1111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111-1-1-1-1111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111-1-1-1-1111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111-1-1-1-1111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-1-11-1-1ii−i−i1-11-1-1111111-1-1-1-1i−i1ii−i−i-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-11-1i−i
χ1011-1-11-1-1ii−i−i1-11-1-1111111-1-1-1-1i−i1ii−i−i-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−i−iii-1-111-11−ii
χ1111-1-11-1-1ii−i−i1-11-1-1111111-1-1-1-1i−i1ii−i−i-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1-11−ii
χ1211-1-11-1-1ii−i−i1-11-1-1111111-1-1-1-1i−i1ii−i−i-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−i−iii-1-1111-1i−i
χ1311-1-11-1-1−i−iii1-11-1-1111111-1-1-1-1−ii1−i−iii-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111ii−i−i-1-1111-1−ii
χ1411-1-11-1-1−i−iii1-11-1-1111111-1-1-1-1−ii1−i−iii-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1-11i−i
χ1511-1-11-1-1−i−iii1-11-1-1111111-1-1-1-1−ii1−i−iii-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1ii−i−i-1-111-11i−i
χ1611-1-11-1-1−i−iii1-11-1-1111111-1-1-1-1−ii1−i−iii-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-11-1−ii
χ17222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1822222222222222-2-2-2-20000000022-2-2-2-2-2-200000000000022−2−222−2−222−2−222−2−2000000000000
χ1922222222222222-2-2-2-20000000022-2-2-2-2-2-2000000000000−2−222−2−222−2−222−2−222000000000000
χ202222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-2222222220000000000000000000000000000
χ212222222-2-2-2-2222-2-2-2-200000000-2-2-22222-200000000000022−2−222−2−2−2−222−2−222000000000000
χ222222222-2-2-2-2222-2-2-2-200000000-2-2-22222-2000000000000−2−222−2−22222−2−222−2−2000000000000
χ232222-22-200002-2-222222222222200-20000-2-2-2-2-20000000000000000000000002-22-200000000
χ242222-22-200002-2-222222222222200-20000-2-2-2-2-2000000000000000000000000-22-2200000000
χ252222-22-200002-2-22222-2-2-2-2-2-2-2-200-20000-2222200000000000000000000000000002i−2i2i−2i0000
χ262222-22-200002-2-22222-2-2-2-2-2-2-2-200-20000-222220000000000000000000000000000−2i2i−2i2i0000
χ272222-2-222222-2-22000022−2−222−2−2-2-20000002−22−222−2−222−2−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ282222-2-222222-2-22000022−2−222−2−2-2-20000002−22−222−2−222−2−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ292222-2-222222-2-220000−2−222−2−222-2-2000000−22−22−2−222−2−222ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000
χ302222-2-222222-2-220000−2−222−2−222-2-2000000−22−22−2−222−2−222−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000
χ312222-2-22-2-2-2-2-2-22000022−2−222−2−2220000002−22−2−2−222−2−222ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ322222-2-22-2-2-2-2-2-22000022−2−222−2−2220000002−22−2−2−222−2−222−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ332222-2-22-2-2-2-2-2-220000−2−222−2−22222000000−22−2222−2−222−2−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000
χ342222-2-22-2-2-2-2-2-220000−2−222−2−22222000000−22−2222−2−222−2−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000
χ3522-2-22-2-22i2i−2i−2i2-2222-2-2000000002i−2i-2−2i−2i2i2i2000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000
χ3622-2-22-2-22i2i−2i−2i2-2222-2-2000000002i−2i-2−2i−2i2i2i2000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000
χ3722-2-22-2-22i2i−2i−2i2-22-2-222-2-2-2-222222i−2i22i2i−2i−2i-2-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ3822-2-22-2-2−2i−2i2i2i2-2222-2-200000000−2i2i-22i2i−2i−2i2000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000
χ3922-2-22-2-2−2i−2i2i2i2-2222-2-200000000−2i2i-22i2i−2i−2i2000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000
χ4022-2-22-2-2−2i−2i2i2i2-22-2-222-2-2-2-22222−2i2i2−2i−2i2i2i-2-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ4122-2-2-22-22i2i−2i−2i-222000022−2−2−2−222−2i2i0000002−2−22i2i2−i2−i2−i2−i2i2i2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ4222-2-2-22-22i2i−2i−2i-222000022−2−2−2−222−2i2i0000002−2−22i2i2−i2−i2−i2−i2i2i2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ4322-2-2-22-22i2i−2i−2i-2220000−2−22222−2−2−2i2i000000−222−2−i2−i2i2i2i2i2−i2−i2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000
χ4422-2-2-22-22i2i−2i−2i-2220000−2−22222−2−2−2i2i000000−222−2−i2−i2i2i2i2i2−i2−i2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000
χ4522-2-2-22-2−2i−2i2i2i-222000022−2−2−2−2222i−2i0000002−2−22−i2−i2i2i2i2i2−i2−i2ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ4622-2-2-22-2−2i−2i2i2i-222000022−2−2−2−2222i−2i0000002−2−22−i2−i2i2i2i2i2−i2−i2−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ4722-2-2-22-2−2i−2i2i2i-2220000−2−22222−2−22i−2i000000−222−2i2i2−i2−i2−i2−i2i2i2ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000
χ4822-2-2-22-2−2i−2i2i2i-2220000−2−22222−2−22i−2i000000−222−2i2i2−i2−i2−i2−i2i2i2−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000
χ4922-2-2-2-22000022-2-2-2222222-2-2-2-200-200002-2-2220000000000000000000000002i−2i−2i2i00000000
χ5022-2-2-2-22000022-2-2-2222222-2-2-2-200-200002-2-222000000000000000000000000−2i2i2i−2i00000000
χ5122-2-2-2-22000022-2-2-222-2-2-2-2222200-20000222-2-200000000000000000000000000002i−2i−2i2i0000
χ5222-2-2-2-22000022-2-2-222-2-2-2-2222200-20000222-2-20000000000000000000000000000−2i2i2i−2i0000
χ5344444-4-40000-44-400002222−22−222222−22−2200000000−2222−2222000000000000000000000000000000000000
χ5444444-4-40000-44-40000−22−222222−22−2222220000000022−2222−22000000000000000000000000000000000000
χ554444-44-400004-4-4-4-4-4-400000000004000040000000000000000000000000000000000000000
χ5644-4-44440000-4-4-400002222−22−22−22−22222200000000−222222−22000000000000000000000000000000000000
χ5744-4-44440000-4-4-40000−22−2222222222−22−220000000022−22−2222000000000000000000000000000000000000
χ5844-4-4-4-44000044-444-4-4000000000040000-40000000000000000000000000000000000000000
χ594-44i−4i0002+2i−2−2i2−2i−2+2i0002i2−2i222−222ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ70002ζ2−2ζ22ζ6−2ζ600000ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ70000000000000000000000000000
χ604-44i−4i0002+2i−2−2i2−2i−2+2i0002i2−2i222−22−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ70002ζ2−2ζ22ζ6−2ζ600000−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ70000000000000000000000000000
χ614-44i−4i0002+2i−2−2i2−2i−2+2i000−2i22i2−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ5000−2ζ22ζ2−2ζ62ζ600000ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ70000000000000000000000000000
χ624-44i−4i0002+2i−2−2i2−2i−2+2i000−2i22i2−2222−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ5000−2ζ22ζ2−2ζ62ζ600000−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ70000000000000000000000000000
χ634-44i−4i000−2−2i2+2i−2+2i2−2i0002i2−2i222−222ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7000−2ζ22ζ2−2ζ62ζ600000−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ70000000000000000000000000000
χ644-44i−4i000−2−2i2+2i−2+2i2−2i0002i2−2i222−22−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ7000−2ζ22ζ2−2ζ62ζ600000ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ70000000000000000000000000000
χ654-44i−4i000−2−2i2+2i−2+2i2−2i000−2i22i2−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ50002ζ2−2ζ22ζ6−2ζ600000−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ70000000000000000000000000000
χ664-44i−4i000−2−2i2+2i−2+2i2−2i000−2i22i2−2222−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ50002ζ2−2ζ22ζ6−2ζ600000ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ70000000000000000000000000000
χ674-4−4i4i0002−2i−2+2i2+2i−2−2i0002i2−2i2−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ50002ζ6−2ζ62ζ2−2ζ200000−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ70000000000000000000000000000
χ684-4−4i4i0002−2i−2+2i2+2i−2−2i0002i2−2i2−2222−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ50002ζ6−2ζ62ζ2−2ζ200000ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ70000000000000000000000000000
χ694-4−4i4i0002−2i−2+2i2+2i−2−2i000−2i22i222−222ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ7000−2ζ62ζ6−2ζ22ζ200000ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ70000000000000000000000000000
χ704-4−4i4i0002−2i−2+2i2+2i−2−2i000−2i22i222−22−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7000−2ζ62ζ6−2ζ22ζ200000−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ70000000000000000000000000000
χ714-4−4i4i000−2+2i2−2i−2−2i2+2i0002i2−2i2−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7−2ζ−2ζ72ζ+2ζ72ζ3+2ζ5−2ζ3−2ζ5000−2ζ62ζ6−2ζ22ζ200000ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ70000000000000000000000000000
χ724-4−4i4i000−2+2i2−2i−2−2i2+2i0002i2−2i2−2222−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ72ζ+2ζ7−2ζ−2ζ7−2ζ3−2ζ52ζ3+2ζ5000−2ζ62ζ6−2ζ22ζ200000−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ70000000000000000000000000000
χ734-4−4i4i000−2+2i2−2i−2−2i2+2i000−2i22i222−222ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ70002ζ6−2ζ62ζ2−2ζ200000−ζ+ζ3+ζ5+ζ7ζ−ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7−ζ−ζ3−ζ5+ζ7ζ+ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ70000000000000000000000000000
χ744-4−4i4i000−2+2i2−2i−2−2i2+2i000−2i22i222−22−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ70002ζ6−2ζ62ζ2−2ζ200000ζ−ζ3−ζ5−ζ7−ζ+ζ3+ζ5+ζ7−ζ+ζ3−ζ5−ζ7ζ−ζ3+ζ5+ζ7ζ+ζ3+ζ5−ζ7−ζ−ζ3−ζ5+ζ7−ζ−ζ3+ζ5−ζ7ζ+ζ3−ζ5+ζ70000000000000000000000000000

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