Finite Group Databasebeta

← Group #138175

Character table — Group #138175

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888224444888888881616161616161616161616161616161616161616161616161616161616161616888888882444
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
χ5111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-11
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-11
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-11-1
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-11-11
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-11-11
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i1-11-1
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
χ18222222222222222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-2000000000000000022-2-2-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ20222222222222-2-2-2-2-2-22222-2-2000000000000000022-2-2-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2322222222-2-2-2-22222-2-22222-2-20000000000000000-2-2-2-222000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2422222222-2-2-2-22222-2-22222-2-20000000000000000-2-2-2-22200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222-2-200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222-2-200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2722222222-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2222200000000000000000000000000000000000000000000
χ29222-2-2-2-222i2i−2i−2i2i2i−2i−2i2-200002-222-2-22i2i2i2i−2i−2i−2i−2i22-2-200000000000000000000000000000000000000000000002−2i2−i22−2i2−i20000
χ30222-2-2-2-222i2i−2i−2i2i2i−2i−2i2-200002-222-2-22i2i2i2i−2i−2i−2i−2i22-2-20000000000000000000000000000000000000000000000−22−i2i2−22−i2i20000
χ31222-2-2-2-222i2i−2i−2i2i2i−2i−2i2-200002-2-2-222−2i−2i−2i−2i2i2i2i2i-2-2220000000000000000000000000000000000000000000000i2−i2−22−i2i22−20000
χ32222-2-2-2-222i2i−2i−2i2i2i−2i−2i2-200002-2-2-222−2i−2i−2i−2i2i2i2i2i-2-2220000000000000000000000000000000000000000000000−i2i22−2i2−i2−220000
χ33222-2-2-2-22−2i−2i2i2i−2i−2i2i2i2-200002-222-2-2−2i−2i−2i−2i2i2i2i2i22-2-200000000000000000000000000000000000000000000002−2−i2i22−2−i2i20000
χ34222-2-2-2-22−2i−2i2i2i−2i−2i2i2i2-200002-222-2-2−2i−2i−2i−2i2i2i2i2i22-2-20000000000000000000000000000000000000000000000−22i2−i2−22i2−i20000
χ35222-2-2-2-22−2i−2i2i2i−2i−2i2i2i2-200002-2-2-2222i2i2i2i−2i−2i−2i−2i-2-2220000000000000000000000000000000000000000000000i2−i22−2−i2i2−220000
χ36222-2-2-2-22−2i−2i2i2i−2i−2i2i2i2-200002-2-2-2222i2i2i2i−2i−2i−2i−2i-2-2220000000000000000000000000000000000000000000000−i2i2−22i2−i22−20000
χ3722-22-22-2-200002-22-2002i2i−2i−2i00i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i200002i−2i22−2−222−2−2ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ3822-22-22-2-200002-22-2002i2i−2i−2i00i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i200002i−2i22−2−222−2−2−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ3922-22-22-2-200002-22-2002i2i−2i−2i00−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i200002i−2i−2−222−2−222ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3000000000000
χ4022-22-22-2-200002-22-2002i2i−2i−2i00−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i200002i−2i−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3000000000000
χ4122-22-22-2-200002-22-200−2i−2i2i2i00i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i20000−2i2i−2−222−2−222ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000
χ4222-22-22-2-200002-22-200−2i−2i2i2i00i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i20000−2i2i−2−222−2−222−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000
χ4322-22-22-2-200002-22-200−2i−2i2i2i00−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i20000−2i2i22−2−222−2−2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3000000000000
χ4422-22-22-2-200002-22-200−2i−2i2i2i00−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2i20000−2i2i22−2−222−2−2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3000000000000
χ4522-22-22-2-20000-22-22002i2i−2i−2i00i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i20000−2i2i22−2−2−2−222ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000
χ4622-22-22-2-20000-22-22002i2i−2i−2i00i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i20000−2i2i22−2−2−2−222−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000
χ4722-22-22-2-20000-22-22002i2i−2i−2i00−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i20000−2i2i−2−22222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3000000000000
χ4822-22-22-2-20000-22-22002i2i−2i−2i00−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i20000−2i2i−2−22222−2−2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3000000000000
χ4922-22-22-2-20000-22-2200−2i−2i2i2i00i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i200002i−2i−2−22222−2−2ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7000000000000
χ5022-22-22-2-20000-22-2200−2i−2i2i2i00i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i200002i−2i−2−22222−2−2−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7000000000000
χ5122-22-22-2-20000-22-2200−2i−2i2i2i00−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i200002i−2i22−2−2−2−222ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3000000000000
χ5222-22-22-2-20000-22-2200−2i−2i2i2i00−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i200002i−2i22−2−2−2−222−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3000000000000
χ532-222-2-22-22i−2i2i−2i0000002i−2i2i−2i00i2−i2i2−i22−22−22−22−2−i2i2−i2i22-200002−22−2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3000000000000
χ542-222-2-22-22i−2i2i−2i0000002i−2i2i−2i00i2−i2i2−i22−22−22−22−2−i2i2−i2i22-200002−22−2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3000000000000
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χ984-4-4-4-444400000000-4400004-4-4-4440000000044-4-40000000000000000000000000000000000000000000000000000000000

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