Finite Group Databasebeta

← Group #210956

Character table — Group #210956

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111111111111111111111111222222222222222244444444444444444444444444444444444444444444444488888888888888888888888888888888
order12222222444444448888888888888888444444448888888822444444888888888888888888888888888888888888888822444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1711111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ2011111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ2111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ2211111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ2311111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ2411111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ2511111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ2611111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ2711111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ2811111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ2911111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ3011111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ3111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ3211111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-222-2-222−2i−2i−2i−2i2i2i2i2i22-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-222-2-222−2i−2i−2i−2i2i2i2i2i-2-22222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-222-2-2222i2i2i2i−2i−2i−2i−2i22-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-222-2-2222i2i2i2i−2i−2i−2i−2i-2-22222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ4122-222-2-2-22i−2i2i2i2i−2i−2i−2i2ζ2ζ2ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ32ζ32ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ30000000000000000002i−2i002-2002ζ3−2ζ3002ζ−2ζi2i2−i2−i222−2−21−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ4222-222-2-2-22i−2i2i2i2i−2i−2i−2i2ζ2ζ2ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ32ζ32ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ30000000000000000002i−2i002-2002ζ3−2ζ3002ζ−2ζ−i2−i2i2i2−2−222−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ4322-222-2-2-22i−2i2i2i2i−2i−2i−2i2ζ2ζ2ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ32ζ32ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ3000000000000000000−2i2i00-2200−2ζ32ζ300−2ζ2ζi2i2−i2−i222−2−21−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222−i2−i2i2i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ4422-222-2-2-22i−2i2i2i2i−2i−2i−2i2ζ2ζ2ζ2ζ−2ζ−2ζ−2ζ−2ζ2ζ32ζ32ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ3000000000000000000−2i2i00-2200−2ζ32ζ300−2ζ2ζ−i2−i2i2i2−2−222−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2i2i2−i2−i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ4522-222-2-2-22i−2i2i2i2i−2i−2i−2i−2ζ−2ζ−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ32ζ32ζ30000000000000000002i−2i002-200−2ζ32ζ300−2ζ2ζi2i2−i2−i222−2−2−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ4622-222-2-2-22i−2i2i2i2i−2i−2i−2i−2ζ−2ζ−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ32ζ32ζ30000000000000000002i−2i002-200−2ζ32ζ300−2ζ2ζ−i2−i2i2i2−2−2221−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ4722-222-2-2-22i−2i2i2i2i−2i−2i−2i−2ζ−2ζ−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ32ζ32ζ3000000000000000000−2i2i00-22002ζ3−2ζ3002ζ−2ζi2i2−i2−i222−2−2−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222−i2−i2i2i21+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ4822-222-2-2-22i−2i2i2i2i−2i−2i−2i−2ζ−2ζ−2ζ−2ζ2ζ2ζ2ζ2ζ−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ32ζ32ζ3000000000000000000−2i2i00-22002ζ3−2ζ3002ζ−2ζ−i2−i2i2i2−2−2221−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2i2i2−i2−i2−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ4922-222-2-2-2−2i2i−2i−2i−2i2i2i2i2ζ32ζ32ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ2ζ2ζ2ζ−2ζ−2ζ−2ζ−2ζ0000000000000000002i−2i00-2200−2ζ2ζ00−2ζ32ζ3i2i2−i2−i2−2−2221+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000000000000000
χ5022-222-2-2-2−2i2i−2i−2i−2i2i2i2i2ζ32ζ32ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ2ζ2ζ2ζ−2ζ−2ζ−2ζ−2ζ0000000000000000002i−2i00-2200−2ζ2ζ00−2ζ32ζ3−i2−i2i2i222−2−2−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000000000000000
χ5122-222-2-2-2−2i2i−2i−2i−2i2i2i2i2ζ32ζ32ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ2ζ2ζ2ζ−2ζ−2ζ−2ζ−2ζ000000000000000000−2i2i002-2002ζ−2ζ002ζ3−2ζ3i2i2−i2−i2−2−2221+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222i2i2−i2−i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000000000000000
χ5222-222-2-2-2−2i2i−2i−2i−2i2i2i2i2ζ32ζ32ζ32ζ3−2ζ3−2ζ3−2ζ3−2ζ32ζ2ζ2ζ2ζ−2ζ−2ζ−2ζ−2ζ000000000000000000−2i2i002-2002ζ−2ζ002ζ3−2ζ3−i2−i2i2i222−2−2−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2−i2−i2i2i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000000000000000
χ5322-222-2-2-2−2i2i−2i−2i−2i2i2i2i−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ−2ζ−2ζ−2ζ2ζ2ζ2ζ2ζ0000000000000000002i−2i00-22002ζ−2ζ002ζ3−2ζ3i2i2−i2−i2−2−222−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2−i2−i2i2i21−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000000000000000
χ5422-222-2-2-2−2i2i−2i−2i−2i2i2i2i−2ζ3−2ζ3−2ζ3−2ζ32ζ32ζ32ζ32ζ3−2ζ−2ζ−2ζ−2ζ2ζ2ζ2ζ2ζ0000000000000000002i−2i00-22002ζ−2ζ002ζ3−2ζ3−i2−i2i2i222−2−21+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222i2i2−i2−i2−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000000000000000
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χ902-22-22-22-22i−2i−2i−2i2i−2i2i2i2ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ2ζ2ζ−2ζ2-2−2i2i-222i−2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000000000000000000000000000000000000000000000000000000000000-22−2i2i000000000000−2ζ32ζ3−2ζ2ζ
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χ922-22-22-22-22i−2i−2i−2i2i−2i2i2i2ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ2ζ2ζ−2ζ-222i−2i2-2−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000000000000000000000000000000000000000000000000000000-22−2i2i000000000000−2ζ32ζ3−2ζ2ζ0000
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χ942-22-22-22-22i−2i−2i−2i2i−2i2i2i−2ζ32ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ2ζ−2ζ−2ζ2ζ2-2−2i2i-222i−2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000000000000000000000000000000000000000000000000000000000-22−2i2i0000000000002ζ3−2ζ32ζ−2ζ
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χ1042-22-22-22-2−2i2i2i2i−2i2i−2i−2i−2ζ2ζ2ζ−2ζ2ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3-22−2i2i2-22i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000000000000000000000000000000000000000000000000000000-222i−2i0000000000002ζ−2ζ2ζ3−2ζ30000
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χ121444-4-4-4-44444-4-4-4-4444-4-4-4-44444-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ122444-4-4-4-44444-4-4-4-44-4-44444-4-4-4-44444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ123444-4-4-4-44-4-4-44444-44i4i−4i−4i−4i−4i4i4i−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ124444-4-4-4-44-4-4-44444-4−4i−4i4i4i4i4i−4i−4i4i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-4-444-4444-4-444-4-44i−4i−4i4i4i−4i−4i4i−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-4-444-4444-4-444-4-4−4i4i4i−4i−4i4i4i−4i4i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-4-4-444-44-4-444-4-4444-4-444-4-444-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-4-444-44-4-444-4-444-444-4-444-4-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.