Finite Group Databasebeta

← Group #10691305

Character table — Group #10691305

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444242424242424242448484848
order1222444434444444466688888888121212121212121212121212242424242424242424242424242424242224444444666666888888888888121212121212121212121212121212121212242424242424242424242424242424242424242424242424888888884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ91111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1111-1-111-1-1-1-11111ii−i−iiiii−i−i−i−i1111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1-1i−i
χ101111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1111-1-111-1-1-1-11111ii−i−iiiii−i−i−i−i1111-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-11−ii
χ111111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1111-1-111-1-1-1-1-1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-11−ii
χ121111-1-1-1-1111-1-111-1-1111iiii−i−i−i−i1111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1111-1-111-1-1-1-1-1-1ii−i−i−i−i−i−iiiii1111-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii1-1i−i
χ131111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1111-1-111-1-1-1-11111−i−iii−i−i−i−iiiii1111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1-1−ii
χ141111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1111-1-111-1-1-1-11111−i−iii−i−i−i−iiiii1111-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-11i−i
χ151111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1111-1-111-1-1-1-1-1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-111111111−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-11i−i
χ161111-1-1-1-1111-1-111-1-1111−i−i−i−iiiii1111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1111-1-111-1-1-1-1-1-1−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-111111111−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i1-1−ii
χ172222222222222-2-2-2-2222222222222222222222222222222222222222-200-2000000-2-20000-2-2-2-200000000-2-2-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222222-2-2-2-2222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2000000-2-20000222200000000-2-2-2-2-2-2000000000000222222220000000000000000000000000000
χ19222222222-2-2-2-2222222200000000-2-2-2-22222-2-2-2-20000000000000000-222-222-2-2-2-2-2-2222200000000000022-2-222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-2-2-2222222200000000-2-2-2-22222-2-2-2-20000000000000000-2-2-2-2-2-22222-2-2-2-2-2-200000000000022-2-2222222-2-2-2-22222000000000000000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-20000000000000000200200000022000000002i2i−2i−2i2i2i−2i−2i-2-222-2-2000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000
χ22222222222-2-2-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-2000000000000000020020000002200000000−2i−2i2i2i−2i−2i2i2i-2-222-2-200000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2322222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2422222222-122222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-22-2-2-2-2-2-2-1-111112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111000000000000
χ2522222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222222222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000
χ2622222222-122222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111112-2-22-2-2-2-2-2-2-1-11111-2-2-2-222222222-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2722222222-12222-2-2-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-200000011−i3−i3i3i3-2-2-2-200000000111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2822222222-12222-2-2-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-200-200000011i3i3−i3−i3-2-2-2-200000000111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ2922222222-12222-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-200-200000011−i3−i3i3i3222200000000111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ3022222222-12222-2-2-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-200-200000011i3i3−i3−i3222200000000111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ3122222222-1-2-2-2-22222-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-222-222-2-2-2-211-1-1-1-1000000000000-1-111-1-11111-1-1-1-1111133−3−333−3−333−3−3−3−33333−3−3−3−333000000000000
χ3222222222-1-2-2-2-22222-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-2-2-2-2-22222111111000000000000-1-111-1-1-1-1-1-11111-1-1-1-133−3−333−3−3−3−33333−3−3−3−33333−3−3000000000000
χ3322222222-1-2-2-2-22222-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-222-222-2-2-2-211-1-1-1-1000000000000-1-111-1-11111-1-1-1-11111−3−333−3−333−3−33333−3−3−3−33333−3−3000000000000
χ3422222222-1-2-2-2-22222-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-2-2-2-2-22222111111000000000000-1-111-1-1-1-1-1-11111-1-1-1-1−3−333−3−33333−3−3−3−33333−3−3−3−333000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−32002000000-1-1−i3−i3i3i300002i2i−2i−2i2i2i−2i−2i11-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−3−333−3−333−i−i−i−iiiii−i−i−i−iiiii000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−32002000000-1-1i3i3−i3−i30000−2i−2i2i2i−2i−2i2i2i11-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−3−333−3−333iiii−i−i−i−iiiii−i−i−i−i000000000000
χ3722222222-1-2-2-2-2-2-2-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−333332002000000-1-1−i3−i3i3i30000−2i−2i2i2i−2i−2i2i2i11-1-111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i333−3−333−3−3iiii−i−i−i−iiiii−i−i−i−i000000000000
χ3822222222-1-2-2-2-2-2-2-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−333332002000000-1-1i3i3−i3−i300002i2i−2i−2i2i2i−2i−2i11-1-111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i333−3−333−3−3−i−i−i−iiiii−i−i−i−iiiii000000000000
χ392222-2-2-2-2222-2-2-2-2222222i2i2i2i−2i−2i−2i−2i2222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i200-2000000220000−2i−2i2i2i00000000-2-2-2-222000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ402222-2-2-2-2222-2-2-2-222222−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i200-20000002200002i2i−2i−2i00000000-2-2-2-2220000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ412222-2-2-2-22-2-22222-2-222200000000-2-2-2-2-2-2-2-222220000000000000000222-2-2-2-2-22222222200000000000022-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ422222-2-2-2-22-2-22222-2-222200000000-2-2-2-2-2-2-2-2222200000000000000002-2-2-22222-2-222-2-2-2-200000000000022-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ432222-2-2-2-22-2-222-2-22222200000000-2-2-2-2-2-2-2-222220000000000000000-2002000000-2-20000000022-2-2-2-222-2-22222000000000000000000002222-2-2-2-2-2-2-2-22222000000000000
χ442222-2-2-2-22-2-222-2-22222200000000-2-2-2-2-2-2-2-222220000000000000000-2002000000-2-200000000-2-22222-2-2-2-2222200000000000000000000-2-2-2-222222222-2-2-2-2000000000000
χ452222-2-2-2-2-122-2-222-2-2-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-2222-2-222-2-211-1-1-1-12i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-1-111-1-1-1-111111111−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ462222-2-2-2-2-122-2-222-2-2-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-2-2-2222-2-2221111112i2i−2i−2i−2i−2i−2i−2i2i2i2i2i-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i000000000000
χ472222-2-2-2-2-122-2-222-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-2222-2-222-2-211-1-1-1-1−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-1-111-1-1-1-111111111iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i000000000000
χ482222-2-2-2-2-122-2-222-2-2-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-2-2-2222-2-222111111−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ492222-2-2-2-2-122-2-2-2-222-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii200-2000000-1-1−i3−i3i3i3−2i−2i2i2i000000001111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3iiii−i−i−i−i33−3−333−3−3−3−333−3−333000000000000
χ502222-2-2-2-2-122-2-2-2-222-1-1-12i2i2i2i−2i−2i−2i−2i-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii200-2000000-1-1i3i3−i3−i3−2i−2i2i2i000000001111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3iiii−i−i−i−i−3−333−3−33333−3−333−3−3000000000000
χ512222-2-2-2-2-122-2-2-2-222-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i200-2000000-1-1−i3−i3i3i32i2i−2i−2i000000001111-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i−i−i−iiiii−3−333−3−33333−3−333−3−3000000000000
χ522222-2-2-2-2-122-2-2-2-222-1-1-1−2i−2i−2i−2i2i2i2i2i-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i200-2000000-1-1i3i3−i3−i32i2i−2i−2i000000001111-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3−i−i−i−iiiii33−3−333−3−3−3−333−3−333000000000000
χ532222-2-2-2-2-1-2-22222-2-2-1-1-10000000011111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3222-2-2-2-2-222-1-1-1-1-1-1000000000000-1-1111111111111-1-1-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ542222-2-2-2-2-1-2-22222-2-2-1-1-10000000011111111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32-2-2-22222-2-2-1-11111000000000000-1-11111-1-1-1-1-1-1-1-11111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
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χ1334-4-444i−4i−4i4i-2-44−4i4i00002-22000000002-22-2−2i2i−2i2i2i−2i2i−2i−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44−4i4i4i−4i4-444i−4i0000-44-400000000-44-44−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44−4i4i4i−4i-24-4−4i4i00002-22−4ζ5−4ζ134ζ5+4ζ13−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ234ζ7+4ζ23−4ζ7−4ζ23-22-222i−2i2i−2i2i−2i2i−2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44−4i4i4i−4i-24-4−4i4i00002-224ζ5+4ζ13−4ζ5−4ζ134ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23−4ζ7−4ζ234ζ7+4ζ23-22-222i−2i2i−2i2i−2i2i−2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44−4i4i4i−4i-2-444i−4i00002-22000000002-22-22i−2i2i−2i−2i2i−2i2i−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ130000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-44−4i4i4i−4i-2-444i−4i00002-22000000002-22-22i−2i2i−2i−2i2i−2i2i2ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ130000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.