Finite Group Databasebeta

← Group #141056

Character table — Group #141056

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
χ911111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ1211111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ1311111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−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
χ19222222222222-2-2-2-222-2-2-2-2220000000000000000-2-222-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ20222222222222-2-2-2-222-2-2-2-2220000000000000000-2-222-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-22200000000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-22200000000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000000000
χ2322222222-2-2-2-2222222-2-2-2-2220000000000000000-2-2-2-222000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2422222222-2-2-2-2222222-2-2-2-2220000000000000000-2-2-2-22200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
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
χ2722222222-2-2-2-2-2-2-2-222222222-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ29222-2-2-22-200002i2i−2i−2i2-200002-222−2−2i2i2i2i2−i2−i2−i2−i222−2−200002i−2i22−2−2i2i2−i2−i2ζ+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
χ30222-2-2-22-200002i2i−2i−2i2-200002-222−2−2i2i2i2i2−i2−i2−i2−i222−2−200002i−2i22−2−2i2i2−i2−i2−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
χ31222-2-2-22-200002i2i−2i−2i2-200002-2−2−222−i2−i2−i2−i2i2i2i2i2−2−22200002i−2i−2−222−i2−i2i2i2ζ3+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
χ32222-2-2-22-200002i2i−2i−2i2-200002-2−2−222−i2−i2−i2−i2i2i2i2i2−2−22200002i−2i−2−222−i2−i2i2i2−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
χ33222-2-2-22-200002i2i−2i−2i-220000-2222−2−2i2i2i2i2−i2−i2−i2−i222−2−20000−2i2i−2−222−i2−i2i2i2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ34222-2-2-22-200002i2i−2i−2i-220000-2222−2−2i2i2i2i2−i2−i2−i2−i222−2−20000−2i2i−2−222−i2−i2i2i2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ35222-2-2-22-200002i2i−2i−2i-220000-22−2−222−i2−i2−i2−i2i2i2i2i2−2−2220000−2i2i22−2−2i2i2−i2−i2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ36222-2-2-22-200002i2i−2i−2i-220000-22−2−222−i2−i2−i2−i2i2i2i2i2−2−2220000−2i2i22−2−2i2i2−i2−i2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ37222-2-2-22-20000−2i−2i2i2i2-200002-222−2−2−i2−i2−i2−i2i2i2i2i222−2−20000−2i2i22−2−2−i2−i2i2i2ζ+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
χ38222-2-2-22-20000−2i−2i2i2i2-200002-222−2−2−i2−i2−i2−i2i2i2i2i222−2−20000−2i2i22−2−2−i2−i2i2i2−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
χ39222-2-2-22-20000−2i−2i2i2i2-200002-2−2−222i2i2i2i2−i2−i2−i2−i2−2−2220000−2i2i−2−222i2i2−i2−i2ζ3+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
χ40222-2-2-22-20000−2i−2i2i2i2-200002-2−2−222i2i2i2i2−i2−i2−i2−i2−2−2220000−2i2i−2−222i2i2−i2−i2−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
χ41222-2-2-22-20000−2i−2i2i2i-220000-2222−2−2−i2−i2−i2−i2i2i2i2i222−2−200002i−2i−2−222i2i2−i2−i2ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5000000000000
χ42222-2-2-22-20000−2i−2i2i2i-220000-2222−2−2−i2−i2−i2−i2i2i2i2i222−2−200002i−2i−2−222i2i2−i2−i2−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5000000000000
χ43222-2-2-22-20000−2i−2i2i2i-220000-22−2−222i2i2i2i2−i2−i2−i2−i2−2−22200002i−2i22−2−2−i2−i2i2i2ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7000000000000
χ44222-2-2-22-20000−2i−2i2i2i-220000-22−2−222i2i2i2i2−i2−i2−i2−i2−2−22200002i−2i22−2−2−i2−i2i2i2−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ+ζ7−ζ+ζ7ζ−ζ7ζ−ζ7−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ−ζ7ζ−ζ7−ζ+ζ7−ζ+ζ7ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7000000000000
χ4522-22-2-2-222i2i−2i−2i2i−2i2i−2i0022-2-2002-22-22i2i−2i−2i2i2i−2i−2i2-22-200000000000000000000000000000000000000000000002−2i2−i22−2i2−i20000
χ4622-22-2-2-222i2i−2i−2i2i−2i2i−2i0022-2-2002-22-22i2i−2i−2i2i2i−2i−2i2-22-20000000000000000000000000000000000000000000000−22−i2i2−22−i2i20000
χ4722-22-2-2-222i2i−2i−2i2i−2i2i−2i0022-2-200-22-22−2i−2i2i2i−2i−2i2i2i-22-220000000000000000000000000000000000000000000000i2−i2−22−i2i22−20000
χ4822-22-2-2-222i2i−2i−2i2i−2i2i−2i0022-2-200-22-22−2i−2i2i2i−2i−2i2i2i-22-220000000000000000000000000000000000000000000000−i2i22−2i2−i2−220000
χ4922-22-2-2-22−2i−2i2i2i−2i2i−2i2i0022-2-2002-22-2−2i−2i2i2i−2i−2i2i2i2-22-200000000000000000000000000000000000000000000002−2−i2i22−2−i2i20000
χ5022-22-2-2-22−2i−2i2i2i−2i2i−2i2i0022-2-2002-22-2−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000000000000000000000000000000000−22i2−i2−22i2−i20000
χ5122-22-2-2-22−2i−2i2i2i−2i2i−2i2i0022-2-200-22-222i2i−2i−2i2i2i−2i−2i-22-220000000000000000000000000000000000000000000000i2−i22−2−i2i2−220000
χ5222-22-2-2-22−2i−2i2i2i−2i2i−2i2i0022-2-200-22-222i2i−2i−2i2i2i−2i−2i-22-220000000000000000000000000000000000000000000000−i2i2−22i2−i22−20000
χ532-2-222-22-22i−2i2i−2i00002-20000-222−2−22i2−i2i2−i2i2−i2i2−i2−222−2002i−2i002−22−2i2−i2i2−i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ542-2-222-22-22i−2i2i−2i00002-20000-222−2−22i2−i2i2−i2i2−i2i2−i2−222−2002i−2i002−22−2i2−i2i2−i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ552-2-222-22-22i−2i2i−2i00002-20000-22−222−2−i2i2−i2i2−i2i2−i2i22−2−22002i−2i00−22−22−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000000000
χ562-2-222-22-22i−2i2i−2i00002-20000-22−222−2−i2i2−i2i2−i2i2−i2i22−2−22002i−2i00−22−22−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000000000
χ572-2-222-22-22i−2i2i−2i0000-2200002-22−2−22i2−i2i2−i2i2−i2i2−i2−222−200−2i2i00−22−22−i2i2−i2i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ582-2-222-22-22i−2i2i−2i0000-2200002-22−2−22i2−i2i2−i2i2−i2i2−i2−222−200−2i2i00−22−22−i2i2−i2i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ592-2-222-22-22i−2i2i−2i0000-2200002-2−222−2−i2i2−i2i2−i2i2−i2i22−2−2200−2i2i002−22−2i2−i2i2−i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ602-2-222-22-22i−2i2i−2i0000-2200002-2−222−2−i2i2−i2i2−i2i2−i2i22−2−2200−2i2i002−22−2i2−i2i2−i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ612-2-222-22-2−2i2i−2i2i00002-20000-222−2−22−i2i2−i2i2−i2i2−i2i2−222−200−2i2i002−22−2−i2i2−i2i2ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ622-2-222-22-2−2i2i−2i2i00002-20000-222−2−22−i2i2−i2i2−i2i2−i2i2−222−200−2i2i002−22−2−i2i2−i2i2−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ632-2-222-22-2−2i2i−2i2i00002-20000-22−222−2i2−i2i2−i2i2−i2i2−i22−2−2200−2i2i00−22−22i2−i2i2−i2ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000000000
χ642-2-222-22-2−2i2i−2i2i00002-20000-22−222−2i2−i2i2−i2i2−i2i2−i22−2−2200−2i2i00−22−22i2−i2i2−i2−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000000000
χ652-2-222-22-2−2i2i−2i2i0000-2200002-22−2−22−i2i2−i2i2−i2i2−i2i2−222−2002i−2i00−22−22i2−i2i2−i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5000000000000
χ662-2-222-22-2−2i2i−2i2i0000-2200002-22−2−22−i2i2−i2i2−i2i2−i2i2−222−2002i−2i00−22−22i2−i2i2−i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5000000000000
χ672-2-222-22-2−2i2i−2i2i0000-2200002-2−222−2i2−i2i2−i2i2−i2i2−i22−2−22002i−2i002−22−2−i2i2−i2i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7000000000000
χ682-2-222-22-2−2i2i−2i2i0000-2200002-2−222−2i2−i2i2−i2i2−i2i2−i22−2−22002i−2i002−22−2−i2i2−i2i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7000000000000
χ692-2-2-2-222200000000222-22-2-2-200002-22-2-22-2200002-2000000002-2-22i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2000000000000
χ702-2-2-2-222200000000222-22-2-2-200002-22-2-22-2200002-2000000002-2-22−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2000000000000
χ712-2-2-2-222200000000222-22-2-2-20000-22-222-22-200002-200000000-222-2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
χ722-2-2-2-222200000000222-22-2-2-20000-22-222-22-200002-200000000-222-2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000
χ732-2-2-2-22220000000022-22-22-2-22-22-200000000-22-22-2200002-2-2200002i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ742-2-2-2-22220000000022-22-22-2-22-22-200000000-22-22-2200002-2-220000−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ752-2-2-2-22220000000022-22-22-2-2-22-22000000002-22-2-220000-222-20000000000002i−2i−2i2i−2i2i2i−2i000000002i−2i−2i2i−2i2i2i−2i000000000000
χ762-2-2-2-22220000000022-22-22-2-2-22-22000000002-22-2-220000-222-2000000000000−2i2i2i−2i2i−2i−2i2i00000000−2i2i2i−2i2i−2i−2i2i000000000000
χ772-2-2-2-222200000000-2-22-22-22200002-22-2-22-220000-2200000000-222-22−2−22−222−2−222−2−222−2−222−22−2−222−2−222−2−22000000000000
χ782-2-2-2-222200000000-2-22-22-22200002-22-2-22-220000-2200000000-222-2−222−22−2−222−2−222−2−222−2−22−222−2−222−2−222−2000000000000
χ792-2-2-2-222200000000-2-22-22-2220000-22-222-22-20000-22000000002-2-222−2−22−222−22−2−222−2−22−222−22−2−22−222−2−222−2000000000000
χ802-2-2-2-222200000000-2-22-22-2220000-22-222-22-20000-22000000002-2-22−222−22−2−22−222−2−222−22−2−22−222−22−2−222−2−22000000000000
χ812-2-2-2-222200000000-2-2-22-22222-22-200000000-22-222-20000-222-20000000000002-2-22-222-200000000-222-22-2-22000000000000
χ822-2-2-2-222200000000-2-2-22-22222-22-200000000-22-222-20000-222-2000000000000-222-22-2-22000000002-2-22-222-2000000000000
χ832-2-2-2-222200000000-2-2-22-2222-22-22000000002-22-22-200002-2-2200002-2-222-2-2200000000-222-2-222-200000000000000000000
χ842-2-2-2-222200000000-2-2-22-2222-22-22000000002-22-22-200002-2-220000-222-2-222-2000000002-2-222-2-2200000000000000000000
χ8544-44-4-4-444i4i−4i−4i−4i4i−4i4i00-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8644-44-4-4-44−4i−4i4i4i4i−4i4i−4i00-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-444-4-400004-4-440000000022−22−22222222−22−22−22−22222222−22−22220000000000000000000000000000000000000000000000000000000000
χ8844-4-444-4-400004-4-4400000000−222222−22−22−2222222222−22−22−222222−220000000000000000000000000000000000000000000000000000000000
χ8944-4-444-4-40000-444-40000000022−22−2222−22−2222222222−22−2222−22−22220000000000000000000000000000000000000000000000000000000000
χ9044-4-444-4-40000-444-400000000−222222−222222−22−22−22−222222−222222−220000000000000000000000000000000000000000000000000000000000
χ914-444-44-4-44-4-440000000000002222−22−2222−22−222222−22−2222−22−2222220000000000000000000000000000000000000000000000000000000000
χ924-444-44-4-44-4-44000000000000−22−222222−222222−22−222222−222222−22−220000000000000000000000000000000000000000000000000000000000
χ934-444-44-4-4-444-40000000000002222−22−22−222222−22−222222−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ944-444-44-4-4-444-4000000000000−22−22222222−22−222222−22−22222222−22−220000000000000000000000000000000000000000000000000000000000
χ954-44-44-4-4400000000004-4-440000004i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ964-44-44-4-4400000000004-4-44000000−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ974-44-44-4-440000000000-444-400444400000000-4-4-4-40000000000000000000000000000000000000000000000000000000000
χ984-44-44-4-440000000000-444-400-4-4-4-40000000044440000000000000000000000000000000000000000000000000000000000

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