Finite Group Databasebeta

← Group #140247

Character table — Group #140247

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order122244442244444488888888161616161616161616161616161616164444444444888888888888161616161616161616161616161616161616161616161616888888882488
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
χ91111-1-1-1-1-1-11111-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1ii−i−i11-1-11-1i−i
χ101111-1-1-1-1-1-11111-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1−i−iii-1-111-11−ii
χ111111-1-1-1-1-1-11111-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111111111ii−i−i11-1-1-11−ii
χ121111-1-1-1-1-1-11111-1-111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−iii-1-1111-1i−i
χ131111-1-1-1-1-1-11111-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111111111ii−i−i-1-1111-1−ii
χ141111-1-1-1-1-1-11111-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−iii11-1-1-11i−i
χ151111-1-1-1-1-1-11111-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1ii−i−i-1-111-11i−i
χ161111-1-1-1-1-1-11111-1-111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−iii11-1-11-1−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
χ19222222222222-2-2-2-2222222222222222222222222-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ20222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222222220000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-200000000000000002222000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-20000000000000000222200000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2322222222-2-2-2-22222000000002222−2−2−2−22222−2−2−2−2-2-20000000022-2-222-2-2000022−2−222−2−222−2−222−2−222−2−222−2−2000000000000
χ2422222222-2-2-2-22222000000002222−2−2−2−22222−2−2−2−2-2-200000000-2-222-2-222000022−2−222−2−2−2−222−2−222−2−222−2−222000000000000
χ2522222222-2-2-2-2222200000000−2−2−2−22222−2−2−2−22222-2-20000000022-2-222-2-20000−2−222−2−222−2−222−2−222−2−222−2−222000000000000
χ2622222222-2-2-2-2222200000000−2−2−2−22222−2−2−2−22222-2-200000000-2-222-2-2220000−2−222−2−22222−2−222−2−222−2−222−2−2000000000000
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
χ312222-2-2-2-222-2-222-2-200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-22000000002i2i−2i−2i−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i222−2−222−2−2−2−222−2−222000000000000
χ322222-2-2-2-222-2-222-2-200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-2200000000−2i−2i2i2i2i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2−2−222−2−22222−2−222−2−2000000000000
χ332222-2-2-2-222-2-222-2-200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-22000000002i2i−2i−2i−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2−2−222−2−22222−2−222−2−2000000000000
χ342222-2-2-2-222-2-222-2-200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-2200000000−2i−2i2i2i2i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i222−2−222−2−2−2−222−2−222000000000000
χ352222-2-2-2-222-2-2-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22-222-2-2-2-222000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ362222-2-2-2-222-2-2-2-22200000000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i22-2-2-22222-2-2000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ372222-2-2-2-222-2-2-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22-222-2-2-2-222000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ382222-2-2-2-222-2-2-2-22200000000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i22-2-2-22222-2-2000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ392222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000002-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-222000000000000000000000000000000000000
χ402222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000002-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-222000000000000000000000000000000000000
χ412222-2-2-2-2-2-222-2-22222-2-2-2-2222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-220000000000000000-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ422222-2-2-2-2-2-222-2-22222-2-2-2-222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-220000000000000000-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ432222-2-2-2-2-2-222-2-222-2-22222-2-20000000000000000-22000000000000000022-2-2000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000
χ442222-2-2-2-2-2-222-2-222-2-22222-2-20000000000000000-22000000000000000022-2-200000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000
χ4522-2-22i−2i2i−2i00002-22i−2i2−2i2i2−i2−i22−2ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3001+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ2−2ζ2002ζ6−2ζ62−2i2−i2ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ4622-2-22i−2i2i−2i00002-22i−2i2−2i2i2−i2−i22−2ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ300−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ22ζ200−2ζ62ζ62−2i2−i2ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ4722-2-22i−2i2i−2i00002-22i−2i2−2i2i2−i2−i22−2−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3001+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ2−2ζ2002ζ6−2ζ62−2i2−i2−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5000000000000
χ4822-2-22i−2i2i−2i00002-22i−2i2−2i2i2−i2−i22−2−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ300−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ22ζ200−2ζ62ζ62−2i2−i2−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5000000000000
χ4922-2-22i−2i2i−2i00002-22i−2i−22−i2−i2i2i2−22ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ22ζ200−2ζ62ζ6−22−i2i2ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ5022-2-22i−2i2i−2i00002-22i−2i−22−i2−i2i2i2−22ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ2−2ζ2002ζ6−2ζ6−22−i2i2ζ5−ζ7−ζ5+ζ7−ζ−ζ3ζ+ζ3−ζ+ζ3ζ−ζ3ζ5+ζ7−ζ5−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ5122-2-22i−2i2i−2i00002-22i−2i−22−i2−i2i2i2−22−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ22ζ200−2ζ62ζ6−22−i2i2−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7000000000000
χ5222-2-22i−2i2i−2i00002-22i−2i−22−i2−i2i2i2−22−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ2−2ζ2002ζ6−2ζ6−22−i2i2−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7000000000000
χ5322-2-22i−2i2i−2i0000-22−2i2i2−2i2i2−i2−i22−2ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ3001−i−1+i−1+i1−i−1−i1+i1+i−1−i2ζ6−2ζ6002ζ2−2ζ200−22−i2i2−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
χ5422-2-22i−2i2i−2i0000-22−2i2i2−2i2i2−i2−i22−2ζ+ζ3ζ+ζ3−ζ−ζ3−ζ−ζ3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ−ζ3ζ−ζ3−ζ+ζ3−ζ+ζ300−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ62ζ600−2ζ22ζ200−22−i2i2−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ5522-2-22i−2i2i−2i0000-22−2i2i2−2i2i2−i2−i22−2−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ3001−i−1+i−1+i1−i−1−i1+i1+i−1−i2ζ6−2ζ6002ζ2−2ζ200−22−i2i2ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5000000000000
χ5622-2-22i−2i2i−2i0000-22−2i2i2−2i2i2−i2−i22−2−ζ−ζ3−ζ−ζ3ζ+ζ3ζ+ζ3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ+ζ3−ζ+ζ3ζ−ζ3ζ−ζ300−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ62ζ600−2ζ22ζ200−22−i2i2ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3−ζ3−ζ5ζ3+ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5000000000000
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χ914-44-4−4i4i4i−4i00000000−22222i2−2i2−2i22i222−222ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ−2ζ32ζ+2ζ32ζ+2ζ3−2ζ−2ζ32ζ−2ζ3−2ζ+2ζ3−2ζ+2ζ32ζ−2ζ3−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000000000000000000000
χ924-44-4−4i4i4i−4i00000000−22222i2−2i2−2i22i222−22−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ+2ζ3−2ζ−2ζ3−2ζ−2ζ32ζ+2ζ3−2ζ+2ζ32ζ−2ζ32ζ−2ζ3−2ζ+2ζ32ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000000000000000000000
χ934-4-4444-4-44-4-440000000000002i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ944-4-4444-4-44-4-44000000000000−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ954-4-4444-4-4-444-40000-4-4-44-444400000000000000000000000000000000000000000000000000000000000000000000000000
χ964-4-44-4-4444-44-40000-4-44-44-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-44-4-444-44-4400000000000022−2222−22−2222−2222−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000
χ984-4-44-4-444-44-44000000000000−2222−222222−2222−2222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000

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