Finite Group Databasebeta

← Group #488987

Character table — Group #488987

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11112222222244444444444448888888881616161616321111222222224444444444444888888888161616161632
order12224444888844488161616161616161624488161616162448822222444488884448816161616161616162448816161616244882
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111-1-1-1-1-1-111111111111111111111111111-1-1111111-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1
χ411111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1111
χ5111111111111-1-111111111111-111-1-1-1-1-1-11-1-111-1111111111111-1-111111111111-111-1-1-1-1-1-11-1-111-1
χ6111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-11
χ7111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11
χ8111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1
χ922222222-2-2-2-2222-2-200000000200-2-2000000000022222222-2-2-2-2222-2-200000000200-2-20000000000
χ1022222222-2-2-2-2-2-22-2-200000000-20022000000000022222222-2-2-2-2-2-22-2-200000000-200220000000000
χ1122222-2-22000022-2002222−2−2−2−2-2000022−2−200000022222-2-22000022-2002222−2−2−2−2-2000022−2−2000000
χ1222222-2-22000022-200−2−2−2−22222-20000−2−22200000022222-2-22000022-200−2−2−2−22222-20000−2−222000000
χ1322222-2-220000-2-2-2002222−2−2−2−220000−2−22200000022222-2-220000-2-2-2002222−2−2−2−220000−2−222000000
χ1422222-2-220000-2-2-200−2−2−2−222222000022−2−200000022222-2-220000-2-2-200−2−2−2−222222000022−2−2000000
χ152222-222-2222200-2-2-200000000022000000-2000002222-222-2222200-2-2-200000000022000000-200000
χ162222-222-2222200-2-2-2000000000-2-20000002000002222-222-2222200-2-2-2000000000-2-2000000200000
χ172222-222-2-2-2-2-200-2220000000000000000002-20002222-222-2-2-2-2-200-2220000000000000000002-2000
χ182222-222-2-2-2-2-200-222000000000000000000-220002222-222-2-2-2-2-200-222000000000000000000-22000
χ1922-2-20-22022-2-200000i2i2−i2−i2i2i2−i2−i202i−2i0000000002−2022-2-20-22022-2-200000i2i2−i2−i2i2i2−i2−i202i−2i0000000002−20
χ2022-2-20-22022-2-200000i2i2−i2−i2i2i2−i2−i20−2i2i000000000−22022-2-20-22022-2-200000i2i2−i2−i2i2i2−i2−i20−2i2i000000000−220
χ2122-2-20-22022-2-200000−i2−i2i2i2−i2−i2i2i202i−2i000000000−22022-2-20-22022-2-200000−i2−i2i2i2−i2−i2i2i202i−2i000000000−220
χ2222-2-20-22022-2-200000−i2−i2i2i2−i2−i2i2i20−2i2i0000000002−2022-2-20-22022-2-200000−i2−i2i2i2−i2−i2i2i20−2i2i0000000002−20
χ232-22-2200-22−22−22i−2i02−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ70000002-22-2200-22−22−22i−2i02−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000
χ242-22-2200-22−22−22i−2i02−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ70000002-22-2200-22−22−22i−2i02−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000
χ252-22-2200-22−22−2−2i2i02−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ70000002-22-2200-22−22−2−2i2i02−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000
χ262-22-2200-22−22−2−2i2i02−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ70000002-22-2200-22−22−2−2i2i02−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000
χ272-22-2200-2−22−222i−2i0−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ50000002-22-2200-2−22−222i−2i0−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000
χ282-22-2200-2−22−222i−2i0−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ50000002-22-2200-2−22−222i−2i0−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000
χ292-22-2200-2−22−22−2i2i0−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ50000002-22-2200-2−22−22−2i2i0−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000
χ302-22-2200-2−22−22−2i2i0−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ50000002-22-2200-2−22−22−2i2i0−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000
χ314444-4-4-4-4000000400000000000000000000000004444-4-4-4-400000040000000000000000000000000
χ3244-4-404-400000000002i2i−2i−2i−2i−2i2i2i00000000000000044-4-404-400000000002i2i−2i−2i−2i−2i2i2i000000000000000
χ3344-4-404-40000000000−2i−2i2i2i2i2i−2i−2i00000000000000044-4-404-40000000000−2i−2i2i2i2i2i−2i−2i000000000000000
χ3444-4-40-440-4-444000000000000000000000000000044-4-40-440-4-4440000000000000000000000000000
χ354-44-4-400422−2222−22000−2222000000000000000000000004-44-4-400422−2222−22000−222200000000000000000000000
χ364-44-4-4004−2222−222200022−22000000000000000000000004-44-4-4004−2222−222200022−2200000000000000000000000
χ374-4-44000022−22−222200000ζ−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−ζ70000000000000004-4-44000022−22−222200000ζ−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−ζ7000000000000000
χ384-4-44000022−22−222200000−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+ζ70000000000000004-4-44000022−22−222200000−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+ζ7000000000000000
χ394-4-440000−222222−2200000ζ+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+ζ70000000000000004-4-440000−222222−2200000ζ+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+ζ7000000000000000
χ404-4-440000−222222−2200000−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−ζ70000000000000004-4-440000−222222−2200000−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−ζ7000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4211111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ4311111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1111
χ4411111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-11111111-1-1-1
χ45111111111111-1-111111111111-111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-111-1-11
χ46111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ47111111111111-1-1111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111-1-111-1-1-1-1-11111-1
χ48111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111111-1-1-1-11-1-1-1-11
χ4922222222-2-2-2-2222-2-200000000200-2-20000000000-2-2-2-2-2-2-2-22222-2-2-22200000000-200220000000000
χ5022222222-2-2-2-2-2-22-2-200000000-200220000000000-2-2-2-2-2-2-2-2222222-22200000000200-2-20000000000
χ5122222-2-22000022-2002222−2−2−2−2-2000022−2−2000000-2-2-2-2-222-20000-2-2200−2−2−2−2222220000−2−222000000
χ5222222-2-22000022-200−2−2−2−22222-20000−2−222000000-2-2-2-2-222-20000-2-22002222−2−2−2−22000022−2−2000000
χ5322222-2-220000-2-2-2002222−2−2−2−220000−2−222000000-2-2-2-2-222-2000022200−2−2−2−22222-2000022−2−2000000
χ5422222-2-220000-2-2-200−2−2−2−222222000022−2−2000000-2-2-2-2-222-20000222002222−2−2−2−2-20000−2−222000000
χ552222-222-2222200-2-2-200000000022000000-200000-2-2-2-22-2-22-2-2-2-200222000000000-2-2000000200000
χ562222-222-2222200-2-2-2000000000-2-2000000200000-2-2-2-22-2-22-2-2-2-20022200000000022000000-200000
χ572222-222-2-2-2-2-200-2220000000000000000002-2000-2-2-2-22-2-222222002-2-2000000000000000000-22000
χ582222-222-2-2-2-2-200-222000000000000000000-22000-2-2-2-22-2-222222002-2-20000000000000000002-2000
χ5922-2-20-22022-2-200000i2i2−i2−i2i2i2−i2−i202i−2i0000000002−20-2-22202-20-2-22200000−i2−i2i2i2−i2−i2i2i20−2i2i000000000−220
χ6022-2-20-22022-2-200000i2i2−i2−i2i2i2−i2−i20−2i2i000000000−220-2-22202-20-2-22200000−i2−i2i2i2−i2−i2i2i202i−2i0000000002−20
χ6122-2-20-22022-2-200000−i2−i2i2i2−i2−i2i2i202i−2i000000000−220-2-22202-20-2-22200000i2i2−i2−i2i2i2−i2−i20−2i2i0000000002−20
χ6222-2-20-22022-2-200000−i2−i2i2i2−i2−i2i2i20−2i2i0000000002−20-2-22202-20-2-22200000i2i2−i2−i2i2i2−i2−i202i−2i000000000−220
χ632-22-2200-22−22−22i−2i02−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000-22-22-2002−22−22−2i2i0−22−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000
χ642-22-2200-22−22−22i−2i02−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000-22-22-2002−22−22−2i2i0−22ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000
χ652-22-2200-22−22−2−2i2i02−2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000−i2i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000-22-22-2002−22−222i−2i0−22−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000i2−i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000
χ662-22-2200-22−22−2−2i2i02−2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000−i2i2ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7000000-22-22-2002−22−222i−2i0−22ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000i2−i2−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7000000
χ672-22-2200-2−22−222i−2i0−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000-22-22-20022−22−2−2i2i02−2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000
χ682-22-2200-2−22−222i−2i0−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000-22-22-20022−22−2−2i2i02−2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000
χ692-22-2200-2−22−22−2i2i0−22ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000i2−i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000-22-22-20022−22−22i−2i02−2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000−i2i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000
χ702-22-2200-2−22−22−2i2i0−22−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000i2−i2ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000-22-22-20022−22−22i−2i02−2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000−i2i2−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000
χ714444-4-4-4-400000040000000000000000000000000-4-4-4-44444000000-40000000000000000000000000
χ7244-4-404-400000000002i2i−2i−2i−2i−2i2i2i000000000000000-4-4440-440000000000−2i−2i2i2i2i2i−2i−2i000000000000000
χ7344-4-404-40000000000−2i−2i2i2i2i2i−2i−2i000000000000000-4-4440-4400000000002i2i−2i−2i−2i−2i2i2i000000000000000
χ7444-4-40-440-4-4440000000000000000000000000000-4-44404-4044-4-40000000000000000000000000000
χ754-44-4-400422−2222−22000−222200000000000000000000000-44-44400-4−2222−222200022−2200000000000000000000000
χ764-44-4-4004−2222−222200022−2200000000000000000000000-44-44400-422−2222−22000−222200000000000000000000000
χ774-4-44000022−22−222200000ζ−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−ζ7000000000000000-444-40000−222222−2200000−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+ζ7000000000000000
χ784-4-44000022−22−222200000−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+ζ7000000000000000-444-40000−222222−2200000ζ−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−ζ7000000000000000
χ794-4-440000−222222−2200000ζ+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+ζ7000000000000000-444-4000022−22−222200000−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−ζ7000000000000000
χ804-4-440000−222222−2200000−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−ζ7000000000000000-444-4000022−22−222200000ζ+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+ζ7000000000000000

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