Finite Group Databasebeta

← Group #10693886

Character table — Group #10693886

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444242424242424242448484848
order12224444223444444666888888881212121212121212121212122424242424242424242424242424242444668888888888888888888812121212121224242424242424242424242424242424242424242424242424242424242424242424242424242424888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ91111-1-1-1-1-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i
χ101111-1-1-1-1-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1iiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−ii−ii
χ111111-1-1-1-1-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−ii−ii
χ121111-1-1-1-1-1-1111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111i−ii−i
χ131111-1-1-1-1-1-1111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1iiii−i−i−i−i-1-111−i−i−i−iiiii1111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111i−i−ii
χ141111-1-1-1-1-1-1111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1iiii−i−i−i−i-1-111−i−i−i−iiiii1111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−iii−i
χ151111-1-1-1-1-1-1111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1−i−i−i−iiiii-1-111iiii−i−i−i−i1111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−iii−i
χ161111-1-1-1-1-1-1111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1−i−i−i−iiiii-1-111iiii−i−i−i−i1111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1i−i−ii
χ1722222222222-2-2-2-22222200000000-2-2-2-22222-2-2-2-20000000000000000-2-22222-2-222-2-200000000000022-2-2-2-2000000002222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ1822222222222-2-2-2-22222200000000-2-2-2-22222-2-2-2-20000000000000000-2-222-2-222-2-22200000000000022-2-2-2-200000000-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ192222222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ202222222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000
χ212222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000
χ222222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-1-1-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ232222222222-1-2-2-2-222-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-2-1-122-2-222-2-2000000000000-1-1111133−3−333−3−3-1-1-1-11111-1-1-1-111113333−3−3−3−33333−3−3−3−3000000000000
χ242222222222-1-2-2-2-222-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−3-2-2-1-1-2-222-2-222000000000000-1-1111133−3−333−3−31111-1-1-1-11111-1-1-1-1−3−3−3−33333−3−3−3−33333000000000000
χ252222222222-1-2-2-2-222-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-2-1-122-2-222-2-2000000000000-1-11111−3−333−3−333-1-1-1-11111-1-1-1-11111−3−3−3−33333−3−3−3−33333000000000000
χ262222222222-1-2-2-2-222-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−33333-2-2-1-1-2-222-2-222000000000000-1-11111−3−333−3−3331111-1-1-1-11111-1-1-1-13333−3−3−3−33333−3−3−3−3000000000000
χ2722222222-2-222222-2-2222222222222222222222222222222222222222-2-2-2-200000000-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ2822222222-2-222222-2-2222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ2922222222-2-22-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-2000000000000000022-2-20000000000002i2i−2i−2i2i2i−2i−2i-2-222220000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000
χ3022222222-2-22-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-2000000000000000022-2-2000000000000−2i−2i2i2i−2i−2i2i2i-2-22222000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000
χ3122222222-2-2-12222-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21100000000-2-2-2-20000000011111111111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3222222222-2-2-12222-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21100000000-2-2-2-20000000011111111111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3322222222-2-2-12222-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-21100000000222200000000111111-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3422222222-2-2-12222-2-2-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-21100000000222200000000111111-1-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3522222222-2-2-1-2-2-2-2-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−322110000000000002i2i−2i−2i2i2i−2i−2i11-1-1-1-1−3−333−3−333−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii−i−iii−i−iii000000000000
χ3622222222-2-2-1-2-2-2-2-2-2-1-1-1000000001111-1-1-1-111113333−3−3−3−33333−3−3−3−32211000000000000−2i−2i2i2i−2i−2i2i2i11-1-1-1-1−3−333−3−333i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3ii−i−iii−i−iii−i−iii−i−i000000000000
χ3722222222-2-2-1-2-2-2-2-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−3333322110000000000002i2i−2i−2i2i2i−2i−2i11-1-1-1-133−3−333−3−3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3−i−iii−i−iii−i−iii−i−iii000000000000
χ3822222222-2-2-1-2-2-2-2-2-2-1-1-1000000001111-1-1-1-11111−3−3−3−33333−3−3−3−333332211000000000000−2i−2i2i2i−2i−2i2i2i11-1-1-1-133−3−333−3−3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−iii−i−iii−i−i000000000000
χ392222-2-2-2-222222-2-2-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-222200000000-2-22200000000-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000
χ402222-2-2-2-222222-2-2-2-2222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-22220000000022-2-200000000-2-2-2-2222222-2-2-2-200000000000000000000000000000000000000000000
χ412222-2-2-2-2222-2-222-2-222200000000-2-2-2-2-2-2-2-2222200000000000000002-22200000000000022-2-2-2-222-2-222-2-200000000000000000000000022-2-222-2-2-2-222-2-222000000000000
χ422222-2-2-2-2222-2-222-2-222200000000-2-2-2-2-2-2-2-2222200000000000000002-222000000000000-2-22222-2-2-2-222-2-2000000000000000000000000-2-222-2-22222-2-222-2-2000000000000
χ432222-2-2-2-222-122-2-2-2-2-1-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-22-1-100000000-2-222000000001111-1-11111-1-1-1-133−3−333−3−3−3−333−3−33333−3−3−3−333−3−33333−3−3000000000000
χ442222-2-2-2-222-122-2-2-2-2-1-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-22-1-100000000-2-222000000001111-1-11111-1-1-1-1−3−333−3−33333−3−333−3−3−3−33333−3−333−3−3−3−333000000000000
χ452222-2-2-2-222-122-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-22-1-10000000022-2-2000000001111-1-1-1-1-1-1111133−3−333−3−3−3−333−3−333−3−33333−3−333−3−3−3−333000000000000
χ462222-2-2-2-222-122-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-22-1-10000000022-2-2000000001111-1-1-1-1-1-11111−3−333−3−33333−3−333−3−333−3−3−3−333−3−33333−3−3000000000000
χ472222-2-2-2-222-1-2-222-2-2-1-1-10000000011111111-1-1-1-13333−3−3−3−3−3−3−3−333332-2-1-100000000000022-2-2-2-22211-1-111−3−33333−3−3−3−33333−3−333−3−3−3−333-1-111-1-11111-1-111-1-1000000000000
χ482222-2-2-2-222-1-2-222-2-2-1-1-10000000011111111-1-1-1-13333−3−3−3−3−3−3−3−333332-2-1-1000000000000-2-22222-2-211-1-111−3−33333−3−333−3−3−3−333−3−33333−3−311-1-111-1-1-1-111-1-111000000000000
χ492222-2-2-2-222-1-2-222-2-2-1-1-10000000011111111-1-1-1-1−3−3−3−333333333−3−3−3−32-2-1-100000000000022-2-2-2-22211-1-11133−3−3−3−33333−3−3−3−333−3−33333−3−3-1-111-1-11111-1-111-1-1000000000000
χ502222-2-2-2-222-1-2-222-2-2-1-1-10000000011111111-1-1-1-1−3−3−3−333333333−3−3−3−32-2-1-1000000000000-2-22222-2-211-1-11133−3−3−3−333−3−33333−3−333−3−3−3−33311-1-111-1-1-1-111-1-111000000000000
χ512222-2-2-2-2-2-22-2-2222222200000000-2-2-2-2-2-2-2-222220000000000000000-22-2-22i2i−2i−2i−2i−2i2i2i00000000000022-2-222000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ522222-2-2-2-2-2-22-2-2222222200000000-2-2-2-2-2-2-2-222220000000000000000-22-2-2−2i−2i2i2i2i2i−2i−2i00000000000022-2-22200000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ532222-2-2-2-2-2-2-122-2-222-1-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111112-2112i2i2i2i−2i−2i−2i−2i22-2-22i2i2i2i−2i−2i−2i−2i-1-1-1-111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ542222-2-2-2-2-2-2-122-2-222-1-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1111111112-211−2i−2i−2i−2i2i2i2i2i22-2-2−2i−2i−2i−2i2i2i2i2i-1-1-1-111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i000000000000
χ552222-2-2-2-2-2-2-122-2-222-1-1-1-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-12-2112i2i2i2i−2i−2i−2i−2i-2-222−2i−2i−2i−2i2i2i2i2i-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i000000000000
χ562222-2-2-2-2-2-2-122-2-222-1-1-1-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-12-211−2i−2i−2i−2i2i2i2i2i-2-2222i2i2i2i−2i−2i−2i−2i-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ572222-2-2-2-2-2-2-1-2-22222-1-1-10000000011111111-1-1-1-13333−3−3−3−3−3−3−3−33333-22112i2i−2i−2i−2i−2i2i2i000000000000-1-111-1-133−3−3−3−333−i−i−i−iiiiiiiii−i−i−i−ii3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000000000000
χ582222-2-2-2-2-2-2-1-2-22222-1-1-10000000011111111-1-1-1-13333−3−3−3−3−3−3−3−33333-2211−2i−2i2i2i2i2i−2i−2i000000000000-1-111-1-133−3−3−3−333iiii−i−i−i−i−i−i−i−iiiii−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3000000000000
χ592222-2-2-2-2-2-2-1-2-22222-1-1-10000000011111111-1-1-1-1−3−3−3−333333333−3−3−3−3-22112i2i−2i−2i−2i−2i2i2i000000000000-1-111-1-1−3−33333−3−3−i−i−i−iiiiiiiii−i−i−i−i−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3000000000000
χ602222-2-2-2-2-2-2-1-2-22222-1-1-10000000011111111-1-1-1-1−3−3−3−333333333−3−3−3−3-2211−2i−2i2i2i2i2i−2i−2i000000000000-1-111-1-1−3−33333−3−3iiii−i−i−i−i−i−i−i−iiiiii3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000000000000
χ6122-2-222-2-22-2200002-22-2-2−i2−i2i2i2−i2−i2i2i2000022-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002-2002i−2i002i−2i−i2i2−i2i22−22−22−22−22-20000−i2i2−i2i2−i2i2−i2i200002i−2i2i−2i00002i−2i2i−2i2−22−22−22−22−22−22−22−2000000000000
χ6222-2-222-2-22-2200002-22-2-2−i2−i2i2i2−i2−i2i2i2000022-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2002-200−2i2i00−2i2i−i2i2−i2i2−22−22−22−222-20000−i2i2−i2i2−i2i2−i2i20000−2i2i−2i2i0000−2i2i−2i2i−22−22−22−22−22−22−22−22000000000000
χ6322-2-222-2-22-2200002-22-2-2i2i2−i2−i2i2i2−i2−i2000022-2-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2002-2002i−2i002i−2ii2−i2i2−i2−22−22−22−222-20000i2−i2i2−i2i2−i2i2−i200002i−2i2i−2i00002i−2i2i−2i−22−22−22−22−22−22−22−22000000000000
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χ7122-2-222-2-22-2-100002-2-111i2i2−i2−i2i2i2−i2−i2−3−333-1-111−3−333−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700-11002i−2i002i−2ii2−i2i2−i2−22−22−22−22-11−33−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i3−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−ζ7000000000000
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χ7322-2-222-2-2-2220000-222-2-2−i2−i2i2i2−i2−i2i2i2000022-2-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200-222-2002-200i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2-220000i2−i2i2−i2i2−i2i2−i2-222-20000-222-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000
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χ7822-2-222-2-2-22-10000-22-111−i2−i2i2i2−i2−i2i2i233−3−3-1-11133−3−3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23001-1-2200-2200i2−i2i2−i2i2−i2−i2i2i2−i2−i2i21-1−33−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-111-13−3−33-111-13−3−33−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000
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χ1284-4-444i−4i−4i4i004000000-4-442i2−2i2−2i22i2−222222−2200004i−4i−4i4i00002i2−2i2−2i22i22i2−2i2−2i22i2−222222−22−222222−220000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1344-4-44−4i4i4i−4i004000000-4-442i2−2i2−2i22i222−22−22220000−4i4i4i−4i00002i2−2i2−2i22i22i2−2i2−2i22i222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1374-4-44−4i4i4i−4i00-200000022-22i2−2i2−2i22i222−22−222223−23−23232i−2i−2i2i−2i32i32i3−2i3−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ70000000000000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.