Finite Group Databasebeta

← Group #507804

Character table — Group #507804

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order1222222244444444444444448888888888888888444444888888881616161616161616161616161616161616161616161616161616161616161616444444442444
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
χ51111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
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
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
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
χ182222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-20000000000000000-2-222-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2000000000000
χ20222222222222-2-2-2-22222-2-2-2-20000000000000000-2-222-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-222000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−22222000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-22200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−2000000000000
χ2322222222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-222000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−22222000000000000
χ2422222222-2-2-2-222222222-2-2-2-20000000000000000-2-2-2-22200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−2000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222-2-2000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−2000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222-2-200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−22222000000000000
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
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ292222-2-2-2-2000000002i2i−2i−2i22-2-200002222-2-2-2-200002i−2i000000002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−2000000000000
χ302222-2-2-2-2000000002i2i−2i−2i22-2-200002222-2-2-2-200002i−2i000000002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−222000000000000
χ312222-2-2-2-2000000002i2i−2i−2i22-2-20000-2-2-2-2222200002i−2i00000000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222−2−222−2−2−2−222−2−222000000000000
χ322222-2-2-2-2000000002i2i−2i−2i22-2-20000-2-2-2-2222200002i−2i00000000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2−222−2−22222−2−222−2−2000000000000
χ332222-2-2-2-2000000002i2i−2i−2i-2-22222-2-20000000022-2-2−2i2i00002i2i−2i−2i0000000000002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-222000000000000
χ342222-2-2-2-2000000002i2i−2i−2i-2-22222-2-20000000022-2-2−2i2i00002i2i−2i−2i000000000000−2i−2i2i2i2i2i−2i−2i00000000-2-22222-2-2000000000000
χ352222-2-2-2-2000000002i2i−2i−2i-2-222-2-22200000000-2-222−2i2i0000−2i−2i2i2i00002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-22200000000000000000000
χ362222-2-2-2-2000000002i2i−2i−2i-2-222-2-22200000000-2-222−2i2i0000−2i−2i2i2i0000−2i−2i2i2i2i2i−2i−2i00000000-2-22222-2-200000000000000000000
χ372222-2-2-2-200000000−2i−2i2i2i22-2-200002222-2-2-2-20000−2i2i00000000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−222000000000000
χ382222-2-2-2-200000000−2i−2i2i2i22-2-200002222-2-2-2-20000−2i2i00000000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−2000000000000
χ392222-2-2-2-200000000−2i−2i2i2i22-2-20000-2-2-2-222220000−2i2i000000002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2−222−2−22222−2−222−2−2000000000000
χ402222-2-2-2-200000000−2i−2i2i2i22-2-20000-2-2-2-222220000−2i2i000000002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222−2−222−2−2−2−222−2−222000000000000
χ412222-2-2-2-200000000−2i−2i2i2i-2-22222-2-20000000022-2-22i−2i0000−2i−2i2i2i0000000000002i2i−2i−2i−2i−2i2i2i00000000-2-22222-2-2000000000000
χ422222-2-2-2-200000000−2i−2i2i2i-2-22222-2-20000000022-2-22i−2i0000−2i−2i2i2i000000000000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-222000000000000
χ432222-2-2-2-200000000−2i−2i2i2i-2-222-2-22200000000-2-2222i−2i00002i2i−2i−2i00002i2i−2i−2i−2i−2i2i2i00000000-2-22222-2-200000000000000000000
χ442222-2-2-2-200000000−2i−2i2i2i-2-222-2-22200000000-2-2222i−2i00002i2i−2i−2i0000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-22200000000000000000000
χ4522-2-222-2-2000022-2-22-22-200002−22−222−2−222−2−22−22−200002-22−22−22−22−2ζ+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−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000000000
χ4622-2-222-2-2000022-2-22-22-200002−22−222−2−222−2−22−22−200002-22−22−22−22−2−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+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000000000
χ4722-2-222-2-2000022-2-22-22-20000−22−22−2−222−2−222−22−2200002-2−22−22−22−22ζ3+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+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ4822-2-222-2-2000022-2-22-22-20000−22−22−2−222−2−222−22−2200002-2−22−22−22−22−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−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ4922-2-222-2-2000022-2-2-22-2200002−22−222−2−222−2−22−22−20000-22−22−22−22−22ζ+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
χ5022-2-222-2-2000022-2-2-22-2200002−22−222−2−222−2−22−22−20000-22−22−22−22−22−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
χ5122-2-222-2-2000022-2-2-22-220000−22−22−2−222−2−222−22−220000-222−22−22−22−2ζ3+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
χ5222-2-222-2-2000022-2-2-22-220000−22−22−2−222−2−222−22−220000-222−22−22−22−2−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
χ5322-2-222-2-20000-2-2222-22-200002−22−2−2−222−2−2222−22−20000-222−22−2−22−22ζ+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−ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7000000000000
χ5422-2-222-2-20000-2-2222-22-200002−22−2−2−222−2−2222−22−20000-222−22−2−22−22−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+ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7000000000000
χ5522-2-222-2-20000-2-2222-22-20000−22−2222−2−222−2−2−22−220000-22−22−222−22−2ζ3+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+ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ5622-2-222-2-20000-2-2222-22-20000−22−2222−2−222−2−2−22−220000-22−22−222−22−2−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−ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ5722-2-222-2-20000-2-222-22-2200002−22−2−2−222−2−2222−22−200002-2−22−222−22−2ζ+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
χ5822-2-222-2-20000-2-222-22-2200002−22−2−2−222−2−2222−22−200002-2−22−222−22−2−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
χ5922-2-222-2-20000-2-222-22-220000−22−2222−2−222−2−2−22−2200002-22−22−2−22−22ζ3+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
χ6022-2-222-2-20000-2-222-22-220000−22−2222−2−222−2−2−22−2200002-22−22−2−22−22−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
χ6122-2-2-2-22222-2-200002i−2i−2i2i00002−2−2222−2−2−2−2222−2−22002i−2i00i2−i2−i2i2i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7000000000000
χ6222-2-2-2-22222-2-200002i−2i−2i2i00002−2−2222−2−2−2−2222−2−22002i−2i00i2−i2−i2i2i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7000000000000
χ6322-2-2-2-22222-2-200002i−2i−2i2i0000−222−2−2−22222−2−2−222−2002i−2i00−i2i2i2−i2−i2i2i2−i2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ6422-2-2-2-22222-2-200002i−2i−2i2i0000−222−2−2−22222−2−2−222−2002i−2i00−i2i2i2−i2−i2i2i2−i2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ6522-2-2-2-22222-2-20000−2i2i2i−2i00002−2−2222−2−2−2−2222−2−2200−2i2i00−i2i2i2−i2−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7000000000000
χ6622-2-2-2-22222-2-20000−2i2i2i−2i00002−2−2222−2−2−2−2222−2−2200−2i2i00−i2i2i2−i2−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7000000000000
χ6722-2-2-2-22222-2-20000−2i2i2i−2i0000−222−2−2−22222−2−2−222−200−2i2i00i2−i2−i2i2i2−i2−i2i2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ6822-2-2-2-22222-2-20000−2i2i2i−2i0000−222−2−2−22222−2−2−222−200−2i2i00i2−i2−i2i2i2−i2−i2i2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ6922-2-2-2-222-2-22200002i−2i−2i2i00002−2−22−2−22222−2−22−2−2200−2i2i00i2−i2−i2i2−i2i2i2−i2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7000000000000
χ7022-2-2-2-222-2-22200002i−2i−2i2i00002−2−22−2−22222−2−22−2−2200−2i2i00i2−i2−i2i2−i2i2i2−i2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7000000000000
χ7122-2-2-2-222-2-22200002i−2i−2i2i0000−222−222−2−2−2−222−222−200−2i2i00−i2i2i2−i2i2−i2−i2i2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ7222-2-2-2-222-2-22200002i−2i−2i2i0000−222−222−2−2−2−222−222−200−2i2i00−i2i2i2−i2i2−i2−i2i2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ7322-2-2-2-222-2-2220000−2i2i2i−2i00002−2−22−2−22222−2−22−2−22002i−2i00−i2i2i2−i2i2−i2−i2i2ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7000000000000
χ7422-2-2-2-222-2-2220000−2i2i2i−2i00002−2−22−2−22222−2−22−2−22002i−2i00−i2i2i2−i2i2−i2−i2i2−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7000000000000
χ7522-2-2-2-222-2-2220000−2i2i2i−2i0000−222−222−2−2−2−222−222−2002i−2i00i2−i2−i2i2−i2i2i2−i2ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ3+ζ5−ζ3−ζ5000000000000
χ7622-2-2-2-222-2-2220000−2i2i2i−2i0000−222−222−2−2−2−222−222−2002i−2i00i2−i2−i2i2−i2i2i2−i2−ζ3+ζ5ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ3−ζ5ζ3+ζ5000000000000
χ772-22-22-22-22i−2i2i−2i2i−2i2i−2i00002-22-222-2-22i−2i2i−2i2i−2i2i−2i-2-222000000000000000000000000000000000000000000000000002-22i−2i0000
χ782-22-22-22-22i−2i2i−2i2i−2i2i−2i00002-22-222-2-22i−2i2i−2i2i−2i2i−2i-2-22200000000000000000000000000000000000000000000000000-22−2i2i0000
χ792-22-22-22-22i−2i2i−2i2i−2i2i−2i00002-22-2-2-222−2i2i−2i2i−2i2i−2i2i22-2-200000000000000000000000000000000000000000000002-22i−2i00000000
χ802-22-22-22-22i−2i2i−2i2i−2i2i−2i00002-22-2-2-222−2i2i−2i2i−2i2i−2i2i22-2-20000000000000000000000000000000000000000000000-22−2i2i00000000
χ812-22-22-22-2−2i2i−2i2i−2i2i−2i2i00002-22-222-2-2−2i2i−2i2i−2i2i−2i2i-2-222000000000000000000000000000000000000000000000000002-2−2i2i0000
χ822-22-22-22-2−2i2i−2i2i−2i2i−2i2i00002-22-222-2-2−2i2i−2i2i−2i2i−2i2i-2-22200000000000000000000000000000000000000000000000000-222i−2i0000
χ832-22-22-22-2−2i2i−2i2i−2i2i−2i2i00002-22-2-2-2222i−2i2i−2i2i−2i2i−2i22-2-200000000000000000000000000000000000000000000002-2−2i2i00000000
χ842-22-22-22-2−2i2i−2i2i−2i2i−2i2i00002-22-2-2-2222i−2i2i−2i2i−2i2i−2i22-2-20000000000000000000000000000000000000000000000-222i−2i00000000
χ854-44-44-44-44i−4i4i−4i−4i4i−4i4i0000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ864-44-44-44-4−4i4i−4i4i4i−4i4i−4i0000-44-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ874-44-4-44-440000000000004-4-4400004i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ884-44-4-44-440000000000004-4-440000−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ894-44-4-44-44000000000000-444-4444400000000-4-4-4-40000000000000000000000000000000000000000000000000000000000
χ904-44-4-44-44000000000000-444-4-4-4-4-40000000044440000000000000000000000000000000000000000000000000000000000
χ914-4-444-4-4400004i−4i−4i4i0000000022−22−22222i2−2i2−2i22i22i2−2i2−2i22i2−222222−220000000000000000000000000000000000000000000000000000000000
χ924-4-444-4-4400004i−4i−4i4i00000000−222222−22−2i22i22i2−2i2−2i22i22i2−2i222−22−22220000000000000000000000000000000000000000000000000000000000
χ934-4-444-4-440000−4i4i4i−4i0000000022−22−2222−2i22i22i2−2i2−2i22i22i2−2i2−222222−220000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-440000−4i4i4i−4i00000000−222222−222i2−2i2−2i22i22i2−2i2−2i22i222−22−22220000000000000000000000000000000000000000000000000000000000
χ954-4-44-444-44i−4i−4i4i00000000000022−2222−222i2−2i2−2i22i2−2i22i22i2−2i2−2222−22220000000000000000000000000000000000000000000000000000000000
χ964-4-44-444-44i−4i−4i4i000000000000−2222−2222−2i22i22i2−2i22i2−2i2−2i22i222−2222−220000000000000000000000000000000000000000000000000000000000
χ974-4-44-444-4−4i4i4i−4i00000000000022−2222−22−2i22i22i2−2i22i2−2i2−2i22i2−2222−22220000000000000000000000000000000000000000000000000000000000
χ984-4-44-444-4−4i4i4i−4i000000000000−2222−22222i2−2i2−2i22i2−2i22i22i2−2i222−2222−220000000000000000000000000000000000000000000000000000000000

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