Finite Group Databasebeta

← Group #10701904

Character table — Group #10701904

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size1111111111111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444424242424242424242424242424242424
order1222222222222222344444444666666666666666121212121212121212121212121212124444444488888888888888881212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111
χ911111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−iii−i−i11-1-1
χ1011111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii−i−iii-1-111
χ1111111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii−i−iii11-1-1
χ1211111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−iii−i−i-1-111
χ1311111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i−i−iii-1-111
χ1411111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iiiii−i−i11-1-1
χ1511111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iiiii−i−i-1-111
χ1611111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i−i−iii11-1-1
χ1722222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-200000000000000002222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ1822222222222222222-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ192222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111110000000000000000
χ212222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000000000000
χ222222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ232222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-222-2-20000000000000000-1-1-1-11111-1-1-1-111113333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−30000000000000000
χ242222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-222-2-20000000000000000-1-1-1-11111-1-1-1-11111−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−333330000000000000000
χ252222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-222-2-22200000000000000001111-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−333330000000000000000
χ262222222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-222-2-22200000000000000001111-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−30000000000000000
χ2722222-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-22222222222-2-2-2-22200000000000000002222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ2822222-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-222222222-2-22222-2-20000000000000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ2922222-2-2-2-2-2-222-2-22-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ3022222-2-2-2-2-2-222-2-22-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ3122222-2-2-2-2-2-222-2-22-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ3222222-2-2-2-2-2-222-2-22-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ3322222-2-2-2-2-2-222-2-22-1-2-2-2-22222-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000000000000000
χ3422222-2-2-2-2-2-222-2-22-1-2-2-2-22222-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2220000000000000000-1-1-1-111111111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000000000000000
χ3522222-2-2-2-2-2-222-2-22-1-2-2-2-22222-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i30000000000000000
χ3622222-2-2-2-2-2-222-2-22-1-2-2-2-22222-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-200000000000000001111-1-1-1-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i30000000000000000
χ37222-2-22222-2-2-2-2-2-22222-2-22-22-222-2-22222-2-2-2-22-2-22222-2-2-2-222-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ38222-2-22222-2-2-2-2-2-22222-2-22-22-222-2-22222-2-2-2-22-2-22222-2-2-2-222-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ39222-2-22222-2-2-2-2-2-222-2-222-22-2222-2-22222-2-2-2-22-2-2-2-2-2-22222-2-222-2-222000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ40222-2-22222-2-2-2-2-2-222-2-222-22-2222-2-22222-2-2-2-22-2-2-2-2-2-22222-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ41222-2-22222-2-2-2-2-2-22-122-2-22-22-2-1-111-1-1-1-11111-111-1-1-1-11111-1-111-1-11100000000000000002i2i−2i−2i2i2i−2i−2i33−3−333−3−333−3−333−3−3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii−i−iii−i−iii0000000000000000
χ42222-2-22222-2-2-2-2-2-22-122-2-22-22-2-1-111-1-1-1-11111-111-1-1-1-11111-1-111-1-11100000000000000002i2i−2i−2i2i2i−2i−2i−3−333−3−333−3−333−3−333i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−i−iii−i−iii−i−iii−i−iii0000000000000000
χ43222-2-22222-2-2-2-2-2-22-122-2-22-22-2-1-111-1-1-1-11111-111-1-1-1-11111-1-111-1-1110000000000000000−2i−2i2i2i−2i−2i2i2i33−3−333−3−333−3−333−3−3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3ii−i−iii−i−iii−i−iii−i−i0000000000000000
χ44222-2-22222-2-2-2-2-2-22-122-2-22-22-2-1-111-1-1-1-11111-111-1-1-1-11111-1-111-1-1110000000000000000−2i−2i2i2i−2i−2i2i2i−3−333−3−333−3−333−3−333−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−iii−i−iii−i−i0000000000000000
χ45222-2-22222-2-2-2-2-2-22-1-2-222-22-22-1-111-1-1-1-11111-1111111-1-1-1-111-1-111-1-1000000002i2i−2i−2i2i2i−2i−2i0000000033−3−3−3−33333−3−3−3−333−i−iii−i−iii−i−iii−i−iiii3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ46222-2-22222-2-2-2-2-2-22-1-2-222-22-22-1-111-1-1-1-11111-1111111-1-1-1-111-1-111-1-1000000002i2i−2i−2i2i2i−2i−2i00000000−3−33333−3−3−3−33333−3−3−i−iii−i−iii−i−iii−i−iii−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ47222-2-22222-2-2-2-2-2-22-1-2-222-22-22-1-111-1-1-1-11111-1111111-1-1-1-111-1-111-1-100000000−2i−2i2i2i−2i−2i2i2i0000000033−3−3−3−33333−3−3−3−333ii−i−iii−i−iii−i−iii−i−i−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ48222-2-22222-2-2-2-2-2-22-1-2-222-22-22-1-111-1-1-1-11111-1111111-1-1-1-111-1-111-1-100000000−2i−2i2i2i−2i−2i2i2i00000000−3−33333−3−3−3−33333−3−3ii−i−iii−i−iii−i−iii−i−ii3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ49222-2-2-2-2-2-222-2-2222222-2-2-22-2222-2-2-2-2-2-222222-2-22222-2-2-2-2-2-222-2-222000000000000000022-2-2-2-2220000000000000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ50222-2-2-2-2-2-222-2-2222222-2-2-22-2222-2-2-2-2-2-222222-2-22222-2-2-2-2-2-222-2-2220000000000000000-2-22222-2-200000000000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ51222-2-2-2-2-2-222-2-22222-2-2222-22-222-2-2-2-2-2-222222-2-2-2-2-2-2222222-2-222-2-20000000022-2-2-2-22200000000000000000000000022-2-222-2-2-2-222-2-22200000000000000000000000000000000
χ52222-2-2-2-2-2-222-2-22222-2-2222-22-222-2-2-2-2-2-222222-2-2-2-2-2-2222222-2-222-2-200000000-2-22222-2-2000000000000000000000000-2-222-2-22222-2-222-2-200000000000000000000000000000000
χ53222-2-2-2-2-2-222-2-2222-122-2-2-22-22-1-1111111-1-1-1-1-111-1-1-1-1111111-1-111-1-1000000000000000022-2-2-2-22233−3−333−3−3−3−333−3−333−3−33333−3−333−3−3−3−333-1-111-1-11111-1-111-1-10000000000000000
χ54222-2-2-2-2-2-222-2-2222-122-2-2-22-22-1-1111111-1-1-1-1-111-1-1-1-1111111-1-111-1-1000000000000000022-2-2-2-222−3−333−3−33333−3−333−3−333−3−3−3−333−3−33333−3−3-1-111-1-11111-1-111-1-10000000000000000
χ55222-2-2-2-2-2-222-2-2222-122-2-2-22-22-1-1111111-1-1-1-1-111-1-1-1-1111111-1-111-1-10000000000000000-2-22222-2-233−3−333−3−3−3−333−3−33333−3−3−3−333−3−33333−3−311-1-111-1-1-1-111-1-1110000000000000000
χ56222-2-2-2-2-2-222-2-2222-122-2-2-22-22-1-1111111-1-1-1-1-111-1-1-1-1111111-1-111-1-10000000000000000-2-22222-2-2−3−333−3−33333−3−333−3−3−3−33333−3−333−3−3−3−33311-1-111-1-1-1-111-1-1110000000000000000
χ57222-2-2-2-2-2-222-2-2222-1-2-2222-22-2-1-1111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1110000000022-2-2-2-2220000000033−3−3−3−333−3−33333−3−3-1-111-1-11111-1-111-1-133−3−3−3−333−3−33333−3−30000000000000000
χ58222-2-2-2-2-2-222-2-2222-1-2-2222-22-2-1-1111111-1-1-1-1-1111111-1-1-1-1-1-111-1-1110000000022-2-2-2-22200000000−3−33333−3−333−3−3−3−333-1-111-1-11111-1-111-1-1−3−33333−3−333−3−3−3−3330000000000000000
χ59222-2-2-2-2-2-222-2-2222-1-2-2222-22-2-1-1111111-1-1-1-1-1111111-1-1-1-1-1-111-1-11100000000-2-22222-2-20000000033−3−3−3−333−3−33333−3−311-1-111-1-1-1-111-1-111−3−33333−3−333−3−3−3−3330000000000000000
χ60222-2-2-2-2-2-222-2-2222-1-2-2222-22-2-1-1111111-1-1-1-1-1111111-1-1-1-1-1-111-1-11100000000-2-22222-2-200000000−3−33333−3−333−3−3−3−33311-1-111-1-1-1-111-1-11133−3−3−3−333−3−33333−3−30000000000000000
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χ6622-22-222-2-22-22-22-2-2-100000000-11-11-1-111-1-1111-1133−3−333−3−33−33−33−33−3002i−2i002i−2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2−i3i3−i3i3−ii−ii−i3i3−i3i3−ii−ii−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230000000000000000
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χ7022-22-222-2-22-22-22-2-2-100000000-11-11-1-111-1-1111-11−3−333−3−333−33−33−33−33002i−2i002i−2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2i3−i3i3−i3−ii−iii3−i3i3−i3−ii−ii−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ7122-22-222-2-22-22-22-2-2-100000000-11-11-1-111-1-1111-11−3−333−3−333−33−33−33−3300−2i2i00−2i2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2−i3i3−i3i3i−ii−i−i3i3−i3i3i−ii−iζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70000000000000000
χ7222-22-222-2-22-22-22-2-2-100000000-11-11-1-111-1-1111-11−3−333−3−333−33−33−33−3300−2i2i00−2i2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i3i3−i3i3i−ii−i−i3i3−i3i3i−ii−i−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70000000000000000
χ7322-22-2-2-222-222-2-22-22000000002-22-2-2-222-2-222-22-20000000000000000002i−2i00−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−200002i−2i2i−2i0000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−22−22−22−222−22−22−22−20000000000000000
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χ7722-22-2-2-222-222-2-22-2-100000000-11-1111-1-111-1-11-1133−3−333−3−3−33−33−33−33002i−2i00−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−2−i3i3−i3i3−ii−iii3−i3i3−i3i−ii−iζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ7822-22-2-2-222-222-2-22-2-100000000-11-1111-1-111-1-11-1133−3−333−3−3−33−33−33−33002i−2i00−2i2ii2−i2i2−i2−i2i2−i2i22−22−2−22−22−i3i3−i3i3−ii−iii3−i3i3−i3i−ii−i−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000
χ7922-22-2-2-222-222-2-22-2-100000000-11-1111-1-111-1-11-1133−3−333−3−3−33−33−33−3300−2i2i002i−2i−i2i2−i2i2i2−i2i2−i22−22−2−22−22i3−i3i3−i3i−ii−i−i3i3−i3i3−ii−iiζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000
χ8022-22-2-2-222-222-2-22-2-100000000-11-1111-1-111-1-11-1133−3−333−3−3−33−33−33−3300−2i2i002i−2ii2−i2i2−i2−i2i2−i2i2−22−222−22−2i3−i3i3−i3i−ii−i−i3i3−i3i3−ii−ii−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ8122-22-2-2-222-222-2-22-2-100000000-11-1111-1-111-1-11-11−3−333−3−3333−33−33−33−3002i−2i00−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−2i3−i3i3−i3−ii−ii−i3i3−i3i3i−ii−iζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
χ8222-22-2-2-222-222-2-22-2-100000000-11-1111-1-111-1-11-11−3−333−3−3333−33−33−33−3002i−2i00−2i2ii2−i2i2−i2−i2i2−i2i22−22−2−22−22i3−i3i3−i3−ii−ii−i3i3−i3i3i−ii−i−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ8322-22-2-2-222-222-2-22-2-100000000-11-1111-1-111-1-11-11−3−333−3−3333−33−33−33−300−2i2i002i−2i−i2i2−i2i2i2−i2i2−i22−22−2−22−22−i3i3−i3i3i−ii−ii3−i3i3−i3−ii−iiζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ230000000000000000
χ8422-22-2-2-222-222-2-22-2-100000000-11-1111-1-111-1-11-11−3−333−3−3333−33−33−33−300−2i2i002i−2ii2−i2i2−i2−i2i2−i2i2−22−222−22−2−i3i3−i3i3i−ii−ii3−i3i3−i3−ii−ii−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ230000000000000000
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χ8622-2-2222-2-2-22-22-22-22000000002-2-2222-2-2-2-222-2-2200000000000000002i−2i002i−2i00i2−i2−i2i2i2−i2−i2i2−222−2−222−2−2i2i2i−2i0000−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−222−2−222−2−222−2−222−20000000000000000
χ8722-2-2222-2-2-22-22-22-22000000002-2-2222-2-2-2-222-2-220000000000000000−2i2i00−2i2i00−i2i2i2−i2−i2i2i2−i2−222−2−222−22i−2i−2i2i00002i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−222−2−222−2−222−2−222−20000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.