Finite Group Databasebeta

← Group #141013

Character table — Group #141013

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888444444888888881616161616161616161616161616161616161616161616161616161616161616888888884444
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
χ51111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ61111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ71111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111
χ81111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-1
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i1-1-11
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
χ182222222222222222-2-22222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ19222222222222-2-2-2-222-2-2-2-222000000000000000022-2-2-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ20222222222222-2-2-2-222-2-2-2-222000000000000000022-2-2-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
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
χ2322222222-2-2-2-2222222-2-2-2-2220000000000000000-2-222-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2422222222-2-2-2-2222222-2-2-2-2220000000000000000-2-222-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2722222222-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ292222-2-2-2-222-2-222-2-20022-2-20022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002−22−22−22−20000
χ302222-2-2-2-222-2-222-2-20022-2-20022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000−22−22−22−220000
χ312222-2-2-2-222-2-222-2-20022-2-200-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ322222-2-2-2-222-2-222-2-20022-2-200-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ332222-2-2-2-2-2-222-2-2220022-2-2002222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000002−2−222−2−220000
χ342222-2-2-2-2-2-222-2-2220022-2-2002222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000−222−2−222−20000
χ352222-2-2-2-2-2-222-2-2220022-2-200-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ362222-2-2-2-2-2-222-2-2220022-2-200-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ3722-2-22-22-200002-22-22i−2i00002i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i0022−2−222−2−2ζ+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
χ3822-2-22-22-200002-22-22i−2i00002i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002i−2i0022−2−222−2−2−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
χ3922-2-22-22-200002-22-22i−2i00002i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i00−2−222−2−222ζ5−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
χ4022-2-22-22-200002-22-22i−2i00002i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002i−2i00−2−222−2−222−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
χ4122-2-22-22-200002-22-2−2i2i0000−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i00−2−222−2−222ζ−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
χ4222-2-22-22-200002-22-2−2i2i0000−2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−2i2i00−2−222−2−222−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
χ4322-2-22-22-200002-22-2−2i2i0000−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i0022−2−222−2−2ζ5+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
χ4422-2-22-22-200002-22-2−2i2i0000−2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−2i2i0022−2−222−2−2−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
χ4522-2-22-22-20000-22-222i−2i00002i−2ii2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200−2i2i0022−2−2−2−222ζ+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
χ4622-2-22-22-20000-22-222i−2i00002i−2ii2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200−2i2i0022−2−2−2−222−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
χ4722-2-22-22-20000-22-222i−2i00002i−2i−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200−2i2i00−2−22222−2−2ζ5−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
χ4822-2-22-22-20000-22-222i−2i00002i−2i−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200−2i2i00−2−22222−2−2−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
χ4922-2-22-22-20000-22-22−2i2i0000−2i2ii2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2002i−2i00−2−22222−2−2ζ−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
χ5022-2-22-22-20000-22-22−2i2i0000−2i2ii2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2002i−2i00−2−22222−2−2−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
χ5122-2-22-22-20000-22-22−2i2i0000−2i2i−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2002i−2i0022−2−2−2−222ζ5+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
χ5222-2-22-22-20000-22-22−2i2i0000−2i2i−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2002i−2i0022−2−2−2−222−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
χ532-22-2-222-22-22-200002i−2i0000−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i00002−22−22−22−2ζ−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−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3000000000000
χ542-22-2-222-22-22-200002i−2i0000−2i2ii2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i00002−22−22−22−2−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+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3000000000000
χ552-22-2-222-22-22-200002i−2i0000−2i2i−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i0000−22−22−22−22ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
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χ984-4-4444-4-40000000000-444-400-444-4000000004-4-440000000000000000000000000000000000000000000000000000000000

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