Finite Group Databasebeta

← Group #13181524

Character table — Group #13181524

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size124444449182727124444449182727124444449182727124444449182727248888881836545424888888183654542488888818365454248888881836545424888888183654542488888818365454
order1333333326442666666626444121212121212124124441212121212121241244266666662644266666662644266666662644412121212121212412444121212121212124124441212121212121241244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-1
χ311111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i
χ411111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii
χ52-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-100
χ62-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-2100
χ7441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000
χ844-21-2-211000044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-2110000
χ94-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000
χ104-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000
χ114-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000
χ124-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000
χ13111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ141111111111-1-11111111111-1-11111111111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ1511111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii
χ1611111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i
χ172-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-2100
χ182-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-100
χ19441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000
χ2044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-1000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-10000
χ214-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-10000
χ224-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-10000
χ234-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i320000
χ244-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i320000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ261111111111-1-11111111111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ2711111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i-1-1-1-1-1-1-1-111−ii
χ2811111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii-1-1-1-1-1-1-1-111i−i
χ292-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-21002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-100-21-2-21111-2100
χ302-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-1002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-2100-21-2-211112-100
χ31441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000-4-4-12-1-1220000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000-4-4-12-1-1220000
χ3244-21-2-211000044-21-2-211000044-21-2-211000044-21-2-2110000-4-42-122-1-1000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-1000044-21-2-2110000-4-42-122-1-10000
χ334-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000
χ344-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000
χ354-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000
χ364-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000
χ37111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ381111111111-1-11111111111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ3911111111-1-1i−i11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i
χ4011111111-1-1−ii11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii
χ412-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-100
χ422-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-2100
χ43441-211-2-20000441-211-2-20000441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000
χ4444-21-2-211000044-21-2-211000044-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-1000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-1000044-21-2-2110000
χ454-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000
χ464-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000
χ474-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000
χ484-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000
χ49111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ501111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ5111111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i
χ5211111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii
χ532-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-100
χ542-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-2100
χ55441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000
χ5644-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-1000044-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-10000-4-42-122-1-1000044-21-2-2110000
χ574-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000
χ584-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000
χ594-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000
χ604-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000
χ61111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ621111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6311111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i-1-1-1-1-1-1-1-111−ii11111111-1-1i−i-1-1-1-1-1-1-1-111−ii11111111-1-1i−i-1-1-1-1-1-1-1-111−ii
χ6411111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii-1-1-1-1-1-1-1-111i−i11111111-1-1−ii-1-1-1-1-1-1-1-111i−i11111111-1-1−ii-1-1-1-1-1-1-1-111i−i
χ652-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-100-21-2-21111-21002-122-1-1-1-12-100-21-2-21111-21002-122-1-1-1-12-100-21-2-21111-2100
χ662-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-2100-21-2-211112-1002-122-1-1-1-1-2100-21-2-211112-1002-122-1-1-1-1-2100-21-2-211112-100
χ67441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000-4-4-12-1-1220000441-211-2-20000-4-4-12-1-1220000441-211-2-20000-4-4-12-1-1220000
χ6844-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-1000044-21-2-2110000-4-42-122-1-1000044-21-2-2110000-4-42-122-1-1000044-21-2-2110000-4-42-122-1-10000
χ694-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000
χ704-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000
χ714-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000
χ724-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000
χ73111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ741111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ7511111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii
χ7611111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i
χ772-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-2100
χ782-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-100
χ79441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000
χ8044-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-10000-4-42-122-1-1000044-21-2-211000044-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-10000
χ814-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-10000
χ824-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-10000
χ834-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i320000
χ844-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i320000
χ85111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111
χ861111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-11111111111-1-1
χ8711111111-1-1i−i11111111-1-1i−i-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii-1-1-1-1-1-1-1-111−ii11111111-1-1i−i11111111-1-1i−i11111111-1-1i−i
χ8811111111-1-1−ii11111111-1-1−ii-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i-1-1-1-1-1-1-1-111i−i11111111-1-1−ii11111111-1-1−ii11111111-1-1−ii
χ892-122-1-1-1-12-1002-122-1-1-1-12-100-21-2-21111-2100-21-2-21111-2100-21-2-21111-2100-21-2-21111-2100-21-2-21111-21002-122-1-1-1-12-1002-122-1-1-1-12-1002-122-1-1-1-12-100
χ902-122-1-1-1-1-21002-122-1-1-1-1-2100-21-2-211112-100-21-2-211112-100-21-2-211112-100-21-2-211112-100-21-2-211112-1002-122-1-1-1-1-21002-122-1-1-1-1-21002-122-1-1-1-1-2100
χ91441-211-2-20000441-211-2-20000-4-4-12-1-1220000-4-4-12-1-1220000-4-4-12-1-1220000-4-4-12-1-1220000-4-4-12-1-1220000441-211-2-20000441-211-2-20000441-211-2-20000
χ9244-21-2-211000044-21-2-2110000-4-42-122-1-10000-4-42-122-1-10000-4-42-122-1-10000-4-42-122-1-10000-4-42-122-1-1000044-21-2-211000044-21-2-211000044-21-2-2110000
χ934-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-10000-42-121+3i321−3i32-1-100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i321100004-21-2−1−3i32−1+3i32110000
χ944-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-10000-42-121−3i321+3i32-1-100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i321100004-21-2−1+3i32−1−3i32110000
χ954-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i320000-422-1-1-11+3i321−3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i3200004-2-2111−1−3i32−1+3i320000
χ964-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i320000-422-1-1-11−3i321+3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i3200004-2-2111−1+3i32−1−3i320000
χ97222222222222-2-2-2-2-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ982222222222-2-2-2-2-2-2-2-2-2-2-2-2222i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ9922222222-2-22i−2i-2-2-2-2-2-2-2-222−2i2i2i2i2i2i2i2i2i2i−2i−2i-22−2i−2i−2i−2i−2i−2i−2i−2i2i2i2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10022222222-2-2−2i2i-2-2-2-2-2-2-2-2222i−2i2i2i2i2i2i2i2i2i−2i−2i2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-244-2-2-2-24-200-42-4-42222-42004i−2i4i4i−2i−2i−2i−2i4i−2i00−4i2i−4i−4i2i2i2i2i−4i2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-244-2-2-2-2-4200-42-4-422224-2004i−2i4i4i−2i−2i−2i−2i−4i2i00−4i2i−4i−4i2i2i2i2i4i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ103882-422-4-40000-8-8-24-2-24400008i8i2i−4i2i2i−4i−4i0000−8i−8i−2i4i−2i−2i4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-42-4-4220000-8-84-244-2-200008i8i−4i2i−4i−4i2i2i0000−8i−8i4i−2i4i4i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-42-4−1−3i3−1+3i3220000-84-241+3i31−3i3-2-200008i−4i2i−4i−2ζ7+4ζ114ζ7−2ζ112i2i0000−8i4i−2i4i2ζ7−4ζ11−4ζ7+2ζ11−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-42-4−1+3i3−1−3i3220000-84-241−3i31+3i3-2-200008i−4i2i−4i4ζ7−2ζ11−2ζ7+4ζ112i2i0000−8i4i−2i4i−4ζ7+2ζ112ζ7−4ζ11−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-4-4222−1−3i3−1+3i30000-844-2-2-21+3i31−3i300008i−4i−4i2i2i2i−2ζ7+4ζ114ζ7−2ζ110000−8i4i4i−2i−2i−2i2ζ7−4ζ11−4ζ7+2ζ110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-4-4222−1+3i3−1−3i30000-844-2-2-21−3i31+3i300008i−4i−4i2i2i2i4ζ7−2ζ11−2ζ7+4ζ110000−8i4i4i−2i−2i−2i−4ζ7+2ζ112ζ7−4ζ110000000000000000000000000000000000000000000000000000000000000000000000000000
χ109222222222222-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1102222222222-2-2-2-2-2-2-2-2-2-2-2-222−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ11122222222-2-22i−2i-2-2-2-2-2-2-2-222−2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2-22i2i2i2i2i2i2i2i−2i−2i-22000000000000000000000000000000000000000000000000000000000000000000000000
χ11222222222-2-2−2i2i-2-2-2-2-2-2-2-2222i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i-222i2i2i2i2i2i2i2i−2i−2i2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-244-2-2-2-24-200-42-4-42222-4200−4i2i−4i−4i2i2i2i2i−4i2i004i−2i4i4i−2i−2i−2i−2i4i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-244-2-2-2-2-4200-42-4-422224-200−4i2i−4i−4i2i2i2i2i4i−2i004i−2i4i4i−2i−2i−2i−2i−4i2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ115882-422-4-40000-8-8-24-2-2440000−8i−8i−2i4i−2i−2i4i4i00008i8i2i−4i2i2i−4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-42-4-4220000-8-84-244-2-20000−8i−8i4i−2i4i4i−2i−2i00008i8i−4i2i−4i−4i2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-42-4−1−3i3−1+3i3220000-84-241+3i31−3i3-2-20000−8i4i−2i4i2ζ7−4ζ11−4ζ7+2ζ11−2i−2i00008i−4i2i−4i−2ζ7+4ζ114ζ7−2ζ112i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-42-4−1+3i3−1−3i3220000-84-241−3i31+3i3-2-20000−8i4i−2i4i−4ζ7+2ζ112ζ7−4ζ11−2i−2i00008i−4i2i−4i4ζ7−2ζ11−2ζ7+4ζ112i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-4-4222−1−3i3−1+3i30000-844-2-2-21+3i31−3i30000−8i4i4i−2i−2i−2i2ζ7−4ζ11−4ζ7+2ζ1100008i−4i−4i2i2i2i−2ζ7+4ζ114ζ7−2ζ110000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-4-4222−1+3i3−1−3i30000-844-2-2-21−3i31+3i30000−8i4i4i−2i−2i−2i−4ζ7+2ζ112ζ7−4ζ1100008i−4i−4i2i2i2i4ζ7−2ζ11−2ζ7+4ζ110000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.