Finite Group Databasebeta

← Group #501741

Character table — Group #501741

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222222224444444444448888888888888888444444888888881616161616161616161616161616161616161616161616161616161616161616444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ6111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ7111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-11-11
χ8111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1111-11-1
χ911111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ1211111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ1311111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ18222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-222000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ20222222222222-2-2-2-2-2-22222-2-20000000000000000-2-2-2-22200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222-2-200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2000000000000
χ2322222222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-222222222-2-20000000000000000-2-222-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2622222222-2-2-2-2-2-222222222-2-20000000000000000-2-222-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-222000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−2000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-22200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−22222000000000000
χ29222-22-2-2-222-2-22-222-2-200002-22222-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000000002-2002-20000
χ30222-22-2-2-222-2-22-222-2-200002-22222-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2200-220000
χ31222-22-2-2-222-2-22-222-2-200002-2-2-2-2-222-2-2-2-222222200000000000000000000000000000000000000000000002i−2i002i−2i000000
χ32222-22-2-2-222-2-22-222-2-200002-2-2-2-2-222-2-2-2-22222220000000000000000000000000000000000000000000000−2i2i00−2i2i000000
χ33222-22-2-2-2-2-2222-2-2-22200002-22222-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000000000002-200-220000
χ34222-22-2-2-2-2-2222-2-2-22200002-22222-2-2-2-2-2-22222-2-2000000000000000000000000000000000000000000000000-22002-20000
χ35222-22-2-2-2-2-2222-2-2-22200002-2-2-2-2-2222222-2-2-2-22200000000000000000000000000000000000000000000002i−2i00−2i2i000000
χ36222-22-2-2-2-2-2222-2-2-22200002-2-2-2-2-2222222-2-2-2-2220000000000000000000000000000000000000000000000−2i2i002i−2i000000
χ3722-2-2-2-2222-22-200000022-2-20022−2−22−222−2−222−2−22−200002-222−2−222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ3822-2-2-2-2222-22-200000022-2-20022−2−22−222−2−222−2−22−200002-222−2−222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ3922-2-2-2-2222-22-200000022-2-200−2−222−22−2−222−2−222−2200002-2−2−222−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ4022-2-2-2-2222-22-200000022-2-200−2−222−22−2−222−2−222−2200002-2−2−222−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ4122-2-2-2-2222-22-2000000-2-2220022−2−22−222−2−222−2−22−20000-22−2−222−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ4222-2-2-2-2222-22-2000000-2-2220022−2−22−222−2−222−2−22−20000-22−2−222−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ4322-2-2-2-2222-22-2000000-2-22200−2−222−22−2−222−2−222−220000-2222−2−222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ4422-2-2-2-2222-22-2000000-2-22200−2−222−22−2−222−2−222−220000-2222−2−222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ4522-2-2-2-222-22-2200000022-2-20022−2−22−2−2−222−2−2222−20000-2222−2−2−2−222ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ4622-2-2-2-222-22-2200000022-2-20022−2−22−2−2−222−2−2222−20000-2222−2−2−2−222−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ4722-2-2-2-222-22-2200000022-2-200−2−222−2222−2−222−2−2−220000-22−2−22222−2−2ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ4822-2-2-2-222-22-2200000022-2-200−2−222−2222−2−222−2−2−220000-22−2−22222−2−2−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ4922-2-2-2-222-22-22000000-2-2220022−2−22−2−2−222−2−2222−200002-2−2−22222−2−2ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ5022-2-2-2-222-22-22000000-2-2220022−2−22−2−2−222−2−2222−200002-2−2−22222−2−2−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ5122-2-2-2-222-22-22000000-2-22200−2−222−2222−2−222−2−2−2200002-222−2−2−2−222ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ5222-2-2-2-222-22-22000000-2-22200−2−222−2222−2−222−2−2−2200002-222−2−2−2−222−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ532-222-2-2-220000002i−2i2i−2i2-22-2002−22−22−2i2−i2i2−i2i2−i2i2−i2−22002i−2i002−22−2i2−i2i2−i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ542-222-2-2-220000002i−2i2i−2i2-22-2002−22−22−2i2−i2i2−i2i2−i2i2−i2−22002i−2i002−22−2i2−i2i2−i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ552-222-2-2-220000002i−2i2i−2i2-22-200−22−22−22−i2i2−i2i2−i2i2−i2i22−2002i−2i00−22−22−i2i2−i2i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ562-222-2-2-220000002i−2i2i−2i2-22-200−22−22−22−i2i2−i2i2−i2i2−i2i22−2002i−2i00−22−22−i2i2−i2i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ572-222-2-2-220000002i−2i2i−2i-22-22002−22−22−2i2−i2i2−i2i2−i2i2−i2−2200−2i2i00−22−22−i2i2−i2i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ582-222-2-2-220000002i−2i2i−2i-22-22002−22−22−2i2−i2i2−i2i2−i2i2−i2−2200−2i2i00−22−22−i2i2−i2i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ592-222-2-2-220000002i−2i2i−2i-22-2200−22−22−22−i2i2−i2i2−i2i2−i2i22−200−2i2i002−22−2i2−i2i2−i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ602-222-2-2-220000002i−2i2i−2i-22-2200−22−22−22−i2i2−i2i2−i2i2−i2i22−200−2i2i002−22−2i2−i2i2−i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ612-222-2-2-22000000−2i2i−2i2i2-22-2002−22−22−2−i2i2−i2i2−i2i2−i2i2−2200−2i2i002−22−2−i2i2−i2i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ622-222-2-2-22000000−2i2i−2i2i2-22-2002−22−22−2−i2i2−i2i2−i2i2−i2i2−2200−2i2i002−22−2−i2i2−i2i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ632-222-2-2-22000000−2i2i−2i2i2-22-200−22−22−22i2−i2i2−i2i2−i2i2−i22−200−2i2i00−22−22i2−i2i2−i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ642-222-2-2-22000000−2i2i−2i2i2-22-200−22−22−22i2−i2i2−i2i2−i2i2−i22−200−2i2i00−22−22i2−i2i2−i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ652-222-2-2-22000000−2i2i−2i2i-22-22002−22−22−2−i2i2−i2i2−i2i2−i2i2−22002i−2i00−22−22i2−i2i2−i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ662-222-2-2-22000000−2i2i−2i2i-22-22002−22−22−2−i2i2−i2i2−i2i2−i2i2−22002i−2i00−22−22i2−i2i2−i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ672-222-2-2-22000000−2i2i−2i2i-22-2200−22−22−22i2−i2i2−i2i2−i2i2−i22−2002i−2i002−22−2−i2i2−i2i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ682-222-2-2-22000000−2i2i−2i2i-22-2200−22−22−22i2−i2i2−i2i2−i2i2−i22−2002i−2i002−22−2−i2i2−i2i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ692-2-2-222-2200002200002-2-22-2-20000002i−2i−2i2i2i−2i−2i2i002-2000000002i−2i−2i2i2−2−222−2−22i2−i2−i2i2−i2i2i2−i22−2−222−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ702-2-2-222-2200002200002-2-22-2-20000002i−2i−2i2i2i−2i−2i2i002-2000000002i−2i−2i2i−222−2−222−2−i2i2i2−i2i2−i2−i2i2−222−2−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ712-2-2-222-2200002200002-2-22-2-2000000−2i2i2i−2i−2i2i2i−2i002-200000000−2i2i2i−2i2−2−222−2−22−i2i2i2−i2i2−i2−i2i22−2−222−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ722-2-2-222-2200002200002-2-22-2-2000000−2i2i2i−2i−2i2i2i−2i002-200000000−2i2i2i−2i−222−2−222−2i2−i2−i2i2−i2i2i2−i2−222−2−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ732-2-2-222-220000220000-222-2-2-20000002i−2i−2i2i2i−2i−2i2i00-2200000000−2i2i2i−2i2−2−222−2−22i2−i2−i2i2−i2i2i2−i2−222−2−222−2−i2i2i2−i2i2−i2−i2i2000000000000
χ742-2-2-222-220000220000-222-2-2-20000002i−2i−2i2i2i−2i−2i2i00-2200000000−2i2i2i−2i−222−2−222−2−i2i2i2−i2i2−i2−i2i22−2−222−2−22i2−i2−i2i2−i2i2i2−i2000000000000
χ752-2-2-222-220000220000-222-2-2-2000000−2i2i2i−2i−2i2i2i−2i00-22000000002i−2i−2i2i2−2−222−2−22−i2i2i2−i2i2−i2−i2i2−222−2−222−2i2−i2−i2i2−i2i2i2−i2000000000000
χ762-2-2-222-220000220000-222-2-2-2000000−2i2i2i−2i−2i2i2i−2i00-22000000002i−2i−2i2i−222−2−222−2i2−i2−i2i2−i2i2i2−i22−2−222−2−22−i2i2i2−i2i2−i2−i2i2000000000000
χ772-2-2-222-220000-2-200002-2-22222-2-222200000000-2-2-2200002-2-220000000000002i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i2i−2i−2i2i000000000000
χ782-2-2-222-220000-2-200002-2-22222-2-222200000000-2-2-2200002-2-22000000000000−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i000000000000
χ792-2-2-222-220000-2-200002-2-2222-222-2-2-20000000022-220000-222-200002-2-22-222-2000000002-2-22-222-200000000000000000000
χ802-2-2-222-220000-2-200002-2-2222-222-2-2-20000000022-220000-222-20000-222-22-2-2200000000-222-22-2-2200000000000000000000
χ812-2-2-222-220000-2-20000-222-2222-2-222200000000-2-22-20000-222-20000000000002i−2i−2i2i2i−2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i000000000000
χ822-2-2-222-220000-2-20000-222-2222-2-222200000000-2-22-20000-222-2000000000000−2i2i2i−2i−2i2i2i−2i000000002i−2i−2i2i2i−2i−2i2i000000000000
χ832-2-2-222-220000-2-20000-222-222-222-2-2-200000000222-200002-2-2200002-2-22-222-200000000-222-22-2-2200000000000000000000
χ842-2-2-222-220000-2-20000-222-222-222-2-2-200000000222-200002-2-220000-222-22-2-22000000002-2-22-222-200000000000000000000
χ85444-44-4-4-444-4-4-44-4-4440000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ86444-44-4-4-4-4-444-4444-4-40000-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-44-44-4-44-4-440000000000002222−22−22−22222222−22−22−22−222222−22220000000000000000000000000000000000000000000000000000000000
χ8844-44-44-4-44-4-44000000000000−22−22222222−22−22−2222222222−22−2222−220000000000000000000000000000000000000000000000000000000000
χ8944-44-44-4-4-444-40000000000002222−22−22−2222−22−2222222222−22−22−22220000000000000000000000000000000000000000000000000000000000
χ9044-44-44-4-4-444-4000000000000−22−22222222−222222−22−22−22−22222222−220000000000000000000000000000000000000000000000000000000000
χ914-44-4-444-40000004i−4i−4i4i00000022−2222−22−22222i2−2i22i2−2i2−2i22i2−2i22i222−220000000000000000000000000000000000000000000000000000000000
χ924-44-4-444-40000004i−4i−4i4i000000−2222−222222−22−2i22i2−2i22i22i2−2i22i2−2i2−22220000000000000000000000000000000000000000000000000000000000
χ934-44-4-444-4000000−4i4i4i−4i00000022−2222−22−2222−2i22i2−2i22i22i2−2i22i2−2i222−220000000000000000000000000000000000000000000000000000000000
χ944-44-4-444-4000000−4i4i4i−4i000000−2222−222222−222i2−2i22i2−2i2−2i22i2−2i22i2−22220000000000000000000000000000000000000000000000000000000000
χ954-4-444-44-400004-400000000-440000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ964-4-444-44-400004-400000000-44000000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ974-4-444-44-40000-44000000004-44-4-44-4-400000000440000000000000000000000000000000000000000000000000000000000
χ984-4-444-44-40000-44000000004-4-444-44400000000-4-40000000000000000000000000000000000000000000000000000000000

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