Finite Group Databasebeta

← Group #142005

Character table — Group #142005

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888224444888888881616161616161616161616161616161616161616161616161616161616161616888888884444
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
χ511111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1-11-1
χ611111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-11-11
χ711111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-11-11
χ811111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1-11-1
χ91111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-1-11
χ101111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-111-1
χ111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1
χ121111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-11
χ131111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii11-1-1
χ141111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-1-111
χ151111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-1-111
χ161111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i11-1-1
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
χ1822222222222222-2-2222222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ192222222222-2-2-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2122222222-2-2222222-2-2-2-2-2-2220000000000000000-2-2-2-222000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ2222222222-2-2222222-2-2-2-2-2-2220000000000000000-2-2-2-22200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2522222222-2-2-2-2-2-2222222-2-2220000000000000000-2-222-2-2000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2622222222-2-2-2-2-2-2222222-2-2220000000000000000-2-222-2-200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2000000000000
χ29222-22-2-2-22-200002200002-2-2-2000000002222-2-2-2-22-2000022-2-200000000000022-2-222-2-20000000022-2-222-2-2000000000000
χ30222-22-2-2-22-200002200002-2-2-2000000002222-2-2-2-22-2000022-2-2000000000000-2-222-2-22200000000-2-222-2-222000000000000
χ31222-22-2-2-22-200002200002-2-2-200000000-2-2-2-222222-20000-2-222000022-2-222-2-20000000022-2-222-2-200000000000000000000
χ32222-22-2-2-22-200002200002-2-2-200000000-2-2-2-222222-20000-2-2220000-2-222-2-22200000000-2-222-2-22200000000000000000000
χ33222-22-2-2-22-20000-2-200002-222000000002222-2-2-2-2-220000-2-22200002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ34222-22-2-2-22-20000-2-200002-222000000002222-2-2-2-2-220000-2-2220000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ35222-22-2-2-22-20000-2-200002-22200000000-2-2-2-22222-22000022-2-20000000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i000000000000
χ36222-22-2-2-22-20000-2-200002-22200000000-2-2-2-22222-22000022-2-2000000000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i000000000000
χ37222-22-2-2-2-220000220000-22-2-22222-2-2-2-200000000-220000000022-2-222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222000000000000
χ38222-22-2-2-2-220000220000-22-2-22222-2-2-2-200000000-220000000022-2-2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2000000000000
χ39222-22-2-2-2-220000220000-22-2-2-2-2-2-2222200000000-2200000000-2-22222−2−2−2−222−2−22222−2−222−2−2−2−222−2−22222−2−2000000000000
χ40222-22-2-2-2-220000220000-22-2-2-2-2-2-2222200000000-2200000000-2-222−2−22222−2−222−2−2−2−222−2−22222−2−222−2−2−2−222000000000000
χ41222-22-2-2-2-220000-2-20000-22222222-2-2-2-2000000002-200000000-2-222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ42222-22-2-2-2-220000-2-20000-22222222-2-2-2-2000000002-200000000-2-222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ43222-22-2-2-2-220000-2-20000-2222-2-2-2-22222000000002-20000000022-2-2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ44222-22-2-2-2-220000-2-20000-2222-2-2-2-22222000000002-20000000022-2-2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ4522-22-2-2-22002i2i−2i−2i2i−2i0000002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200002-22−22−2i2−i2i2−i2ζ+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+ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ4622-22-2-2-22002i2i−2i−2i2i−2i0000002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200002-22−22−2i2−i2i2−i2−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−ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ4722-22-2-2-22002i2i−2i−2i2i−2i0000002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200002-2−22−22−i2i2−i2i2ζ5−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−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3000000000000
χ4822-22-2-2-22002i2i−2i−2i2i−2i0000002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200002-2−22−22−i2i2−i2i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3000000000000
χ4922-22-2-2-22002i2i−2i−2i−2i2i000000−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-22−22−22−i2i2−i2i2ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ5022-22-2-2-22002i2i−2i−2i−2i2i000000−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-22−22−22−i2i2−i2i2−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ5122-22-2-2-22002i2i−2i−2i−2i2i000000−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-222−22−2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3000000000000
χ5222-22-2-2-22002i2i−2i−2i−2i2i000000−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-222−22−2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3000000000000
χ5322-22-2-2-2200−2i−2i2i2i2i−2i0000002i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-22−22−22i2−i2i2−i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3000000000000
χ5422-22-2-2-2200−2i−2i2i2i2i−2i0000002i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-22−22−22i2−i2i2−i2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3000000000000
χ5522-22-2-2-2200−2i−2i2i2i2i−2i0000002i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-222−22−2−i2i2−i2i2ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ5622-22-2-2-2200−2i−2i2i2i2i−2i0000002i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-222−22−2−i2i2−i2i2−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ5722-22-2-2-2200−2i−2i2i2i−2i2i000000−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200002-22−22−2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3000000000000
χ5822-22-2-2-2200−2i−2i2i2i−2i2i000000−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200002-22−22−2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3000000000000
χ5922-22-2-2-2200−2i−2i2i2i−2i2i000000−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200002-2−22−22i2−i2i2−i2ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ6022-22-2-2-2200−2i−2i2i2i−2i2i000000−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200002-2−22−22i2−i2i2−i2−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ6122-2-2-222-20000002i−2i2i2i−2i−2i00−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i2002-2002−2−22i2−i2−i2i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ6222-2-2-222-20000002i−2i2i2i−2i−2i00−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i2002-2002−2−22i2−i2−i2i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ6322-2-2-222-20000002i−2i2i2i−2i−2i00−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i2002-200−222−2−i2i2i2−i2ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3000000000000
χ6422-2-2-222-20000002i−2i2i2i−2i−2i00−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i2002-200−222−2−i2i2i2−i2−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3000000000000
χ6522-2-2-222-20000002i−2i−2i−2i2i2i00−2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i200-2200−222−2i2−i2−i2i2ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3000000000000
χ6622-2-2-222-20000002i−2i−2i−2i2i2i00−2i2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i200-2200−222−2i2−i2−i2i2−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3000000000000
χ6722-2-2-222-20000002i−2i−2i−2i2i2i00−2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i200-22002−2−22−i2i2i2−i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ6822-2-2-222-20000002i−2i−2i−2i2i2i00−2i2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i200-22002−2−22−i2i2i2−i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ6922-2-2-222-2000000−2i2i2i2i−2i−2i002i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i200-2200−222−2−i2i2i2−i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ7022-2-2-222-2000000−2i2i2i2i−2i−2i002i−2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i200-2200−222−2−i2i2i2−i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ7122-2-2-222-2000000−2i2i2i2i−2i−2i002i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i200-22002−2−22i2−i2−i2i2ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3000000000000
χ7222-2-2-222-2000000−2i2i2i2i−2i−2i002i−2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i200-22002−2−22i2−i2−i2i2−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3000000000000
χ7322-2-2-222-2000000−2i2i−2i−2i2i2i002i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2002-2002−2−22−i2i2i2−i2ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3000000000000
χ7422-2-2-222-2000000−2i2i−2i−2i2i2i002i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2002-2002−2−22−i2i2i2−i2−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3000000000000
χ7522-2-2-222-2000000−2i2i−2i−2i2i2i002i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2002-200−222−2i2−i2−i2i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ7622-2-2-222-2000000−2i2i−2i−2i2i2i002i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2002-200−222−2i2−i2−i2i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ−ζ3ζ+ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ+ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ772-2-222-22-22-22i−2i2i−2i002i−2i2i−2i-22002-22-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ782-2-222-22-22-22i−2i2i−2i002i−2i2i−2i-22002-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ792-2-222-22-22-22i−2i2i−2i002i−2i2i−2i-2200-22-22-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000001−i−1+i−1−i1+i1+i−1−i−1+i1−i0000
χ802-2-222-22-22-22i−2i2i−2i002i−2i2i−2i-2200-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−1+i1−i1+i−1−i−1−i1+i1−i−1+i0000
χ812-2-222-22-22-2−2i2i−2i2i00−2i2i−2i2i-22002-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ822-2-222-22-22-2−2i2i−2i2i00−2i2i−2i2i-22002-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ832-2-222-22-22-2−2i2i−2i2i00−2i2i−2i2i-2200-22-22-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000001+i−1−i−1+i1−i1−i−1+i−1−i1+i0000
χ842-2-222-22-22-2−2i2i−2i2i00−2i2i−2i2i-2200-22-22-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000−1−i1+i1−i−1+i−1+i1−i1+i−1−i0000
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χ874-444-44-4-400-444-4000000000022−22−222222−22−2222−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ884-444-44-4-400-444-40000000000−222222−22−222222−2222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ894-44-4-4-444000000004-4-44000022−22−2222−222222−2222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000
χ904-44-4-4-444000000004-4-440000−222222−2222−22−2222−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ914-44-4-4-44400000000-444-4000022−22−2222−222222−22−222222−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ924-44-4-4-44400000000-444-40000−222222−2222−22−222222−22−2222−222222−220000000000000000000000000000000000000000000000000000000000
χ934-4-444-44-4-444i−4i4i−4i00−4i4i−4i4i4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-44-4-44−4i4i−4i4i004i−4i4i−4i4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-4-4-444-44440000000000-4-400000000004i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ964-4-4-444-44440000000000-4-40000000000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ974-4-4-444-44-4-4000000000044004-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4-444-44-4-400000000004400-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000

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