Finite Group Databasebeta

← Group #140455

Character table — Group #140455

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order122244442244444488888888161616161616161616161616161616164444444444888888888888161616161616161616161616161616161616161616161616888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i
χ101111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−ii−ii
χ111111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−ii−ii
χ121111-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111i−ii−i
χ131111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111i−i−ii
χ141111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−iii−i
χ151111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−iii−i
χ161111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1i−i−ii
χ172222222222222222-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ192222222222-2-222-2-2222222222222222222222222-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ202222222222-2-222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222222220000000000000000000000000000
χ212222222222-2-222-2-2-2-2-2-2-2-2-2-20000000000000000-2-200000000000000002222000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000
χ222222222222-2-222-2-2-2-2-2-2-2-2-2-20000000000000000-2-20000000000000000222200000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2322222222-2-222-2-222000000002222−2−2−2−22222−2−2−2−2-2-20000000022-2-222-2-2000022−2−222−2−222−2−222−2−222−2−222−2−2000000000000
χ2422222222-2-222-2-222000000002222−2−2−2−22222−2−2−2−2-2-200000000-2-222-2-222000022−2−222−2−2−2−222−2−222−2−222−2−222000000000000
χ2522222222-2-222-2-22200000000−2−2−2−22222−2−2−2−22222-2-20000000022-2-222-2-20000−2−222−2−222−2−222−2−222−2−222−2−222000000000000
χ2622222222-2-222-2-22200000000−2−2−2−22222−2−2−2−22222-2-200000000-2-222-2-2220000−2−222−2−22222−2−222−2−222−2−222−2−2000000000000
χ2722222222-2-2-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−2222i2i−2i−2i2i2i−2i−2i000000000000−2−222−2−222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ2822222222-2-2-2-2-2-2-2-2000000002222−2−2−2−22222−2−2−2−222−2i−2i2i2i−2i−2i2i2i000000000000−2−222−2−222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ2922222222-2-2-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−22222222i2i−2i−2i2i2i−2i−2i00000000000022−2−222−2−2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ3022222222-2-2-2-2-2-2-2-200000000−2−2−2−22222−2−2−2−2222222−2i−2i2i2i−2i−2i2i2i00000000000022−2−222−2−2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ312222-2-2-2-22222-2-2-2-2000000002222−2−2−2−2−2−2−2−222222-222-2-2-2-222000000000000−2−22222−2−222−2−2−2−222−2−22222−2−2000000000000
χ322222-2-2-2-22222-2-2-2-2000000002222−2−2−2−2−2−2−2−222222-2-2-22222-2-2000000000000−2−22222−2−2−2−22222−2−222−2−2−2−222000000000000
χ332222-2-2-2-22222-2-2-2-200000000−2−2−2−222222222−2−2−2−22-222-2-2-2-22200000000000022−2−2−2−222−2−22222−2−222−2−2−2−222000000000000
χ342222-2-2-2-22222-2-2-2-200000000−2−2−2−222222222−2−2−2−22-2-2-22222-2-200000000000022−2−2−2−22222−2−2−2−222−2−22222−2−2000000000000
χ352222-2-2-2-222-2-2-2-222000000002222−2−2−2−2−2−2−2−22222-22000000002i2i−2i−2i−2i−2i2i2i000022−2−2−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ362222-2-2-2-222-2-2-2-222000000002222−2−2−2−2−2−2−2−22222-2200000000−2i−2i2i2i2i2i−2i−2i000022−2−2−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ372222-2-2-2-222-2-2-2-22200000000−2−2−2−222222222−2−2−2−2-22000000002i2i−2i−2i−2i−2i2i2i0000−2−22222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ382222-2-2-2-222-2-2-2-22200000000−2−2−2−222222222−2−2−2−2-2200000000−2i−2i2i2i2i2i−2i−2i0000−2−22222−2−2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ392222-2-2-2-2-2-22222-2-222-2-2-2-2220000000000000000-22000000000000000022-2-2000000002222-2-2-2-2-2-2-2-22222000000000000
χ402222-2-2-2-2-2-22222-2-222-2-2-2-2220000000000000000-22000000000000000022-2-200000000-2-2-2-222222222-2-2-2-2000000000000
χ412222-2-2-2-2-2-22222-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-2-220000000000000000-2-222-2-2-2-222220000000000000000000000000000
χ422222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222222222-220000000000000000-2-2222222-2-2-2-20000000000000000000000000000
χ432222-2-2-2-2-2-2-2-2222222-2-2-2-22200000000000000002-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-222000000000000000000000000000000000000
χ442222-2-2-2-2-2-2-2-2222222-2-2-2-22200000000000000002-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-222000000000000000000000000000000000000
χ4522-2-222-2-22-2002-200-2-222-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000i2−i2i2−i22−22−20000
χ4622-2-222-2-22-2002-200-2-222-2-2222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000−i2i2−i2i2−22−220000
χ4722-2-222-2-22-2002-200-2-222-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000i2−i2i2−i2−22−220000
χ4822-2-222-2-22-2002-200-2-222-2-222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000−i2i2−i2i22−22−20000
χ4922-2-2-2-222-22002-2002222-2-2-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000i2−i2−i2i22−2−220000
χ5022-2-2-2-222-22002-2002222-2-2-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000−i2i2i2−i2−222−20000
χ5122-2-2-2-222-22002-2002222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000i2−i2−i2i2−222−20000
χ5222-2-2-2-222-22002-2002222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000−i2i2i2−i22−2−220000
χ532-22-22i−2i2i−2i002i−2i002-2i2−i22−22−2i2−i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7001+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ2−2ζ2002ζ6−2ζ62−2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7000000000000
χ542-22-22i−2i2i−2i002i−2i002-2i2−i22−22−2i2−i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ700−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ22ζ200−2ζ62ζ62−2i2−i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7000000000000
χ552-22-22i−2i2i−2i002i−2i002-2i2−i22−22−2i2−i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7001+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ2−2ζ2002ζ6−2ζ62−2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7000000000000
χ562-22-22i−2i2i−2i002i−2i002-2i2−i22−22−2i2−i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ700−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ22ζ200−2ζ62ζ62−2i2−i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7000000000000
χ572-22-22i−2i2i−2i002i−2i002-2−i2i2−22−22−i2i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ22ζ200−2ζ62ζ6−22−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3000000000000
χ582-22-22i−2i2i−2i002i−2i002-2−i2i2−22−22−i2i2ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ500−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ2−2ζ2002ζ6−2ζ6−22−i2i2ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3000000000000
χ592-22-22i−2i2i−2i002i−2i002-2−i2i2−22−22−i2i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ22ζ200−2ζ62ζ6−22−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3000000000000
χ602-22-22i−2i2i−2i002i−2i002-2−i2i2−22−22−i2i2−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ500−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ2−2ζ2002ζ6−2ζ6−22−i2i2−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3000000000000
χ612-22-22i−2i2i−2i00−2i2i00-22i2−i22−22−2i2−i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ7001−i−1+i−1+i1−i−1−i1+i1+i−1−i2ζ6−2ζ6002ζ2−2ζ200−22−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7000000000000
χ622-22-22i−2i2i−2i00−2i2i00-22i2−i22−22−2i2−i2ζ+ζ7−ζ−ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ7−ζ+ζ700−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ62ζ600−2ζ22ζ200−22−i2i2−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7000000000000
χ632-22-22i−2i2i−2i00−2i2i00-22i2−i22−22−2i2−i2−ζ−ζ7ζ+ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ7ζ−ζ7001−i−1+i−1+i1−i−1−i1+i1+i−1−i2ζ6−2ζ6002ζ2−2ζ200−22−i2i2ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7000000000000
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χ974-4-44−4i4i4i−4i00000000−2i22i2−222222−222i2−2i22ζ−2ζ7−2ζ+2ζ7−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ52ζ3−2ζ5−2ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ5−2ζ−2ζ72ζ+2ζ72ζ+2ζ7−2ζ−2ζ70000000000000000000000000000000000000000000000000000000000
χ984-4-44−4i4i4i−4i00000000−2i22i2−222222−222i2−2i2−2ζ+2ζ72ζ−2ζ72ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5−2ζ3+2ζ52ζ3−2ζ5−2ζ3−2ζ52ζ3+2ζ52ζ3+2ζ5−2ζ3−2ζ52ζ+2ζ7−2ζ−2ζ7−2ζ−2ζ72ζ+2ζ70000000000000000000000000000000000000000000000000000000000

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