Finite Group Databasebeta

← Group #13047989

Character table — Group #13047989

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111111111111111111222222222444444444666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818363636363636363636
order123366999999181818181818412123636363636364121236363636363633336666999999991818181818181818121212121212121212121212363636363636363636363636363636363636363636363636882424242472727272727272727272727241212363636363636
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ5111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32
χ7111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ8111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ9111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ10111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32
χ11111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ12111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ132222222222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000
χ14222222222222222222222222222222222222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000
χ15222222222222222222222222222222222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000
χ16222222222222222222222222222222222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000
χ17222222222222222222222222222-2-2-2-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-21111112-1-1-12-1-1-1-2-2111111-2-2111111000000000000000000000000000
χ18222222222222222222222222222-2-2-2-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-111-2-21111-12-1-1-12-1-111-2-2111111-2-21111000000000000000000000000000
χ19222222222222222222222222222-2-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-11111-2-211-1-12-1-1-12-11111-2-2111111-2-211000000000000000000000000000
χ20222222222222222222222222222-2-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12111111-2-2-1-1-12-1-1-12111111-2-2111111-2-2000000000000000000000000000
χ21222222222222222222-2-2-2-2-2-2-2-2-2000000000222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000
χ22222222222222222222-2-2-2-2-2-2-2-2-20000000002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-211100−i3i3−i3i3−i3i3-2111-211100−i3i3−i3i3−i3i300−i3i3−i3i3−i3i3000000000000000000000000000
χ23222222222222222222-2-2-2-2-2-2-2-2-20000000002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-211100i3−i3i3−i3i3−i3-2111-211100i3−i3i3−i3i3−i300i3−i3i3−i3i3−i3000000000000000000000000000
χ24222222222222222222-2-2-2-2-2-2-2-2-2000000000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-11-211−i3i300−i3i3i3−i31-2111-211−i3i300−i3i3i3−i3−i3i300−i3i3i3−i3000000000000000000000000000
χ25222222222222222222-2-2-2-2-2-2-2-2-2000000000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-11-211i3−i300i3−i3−i3i31-2111-211i3−i300i3−i3−i3i3i3−i300i3−i3−i3i3000000000000000000000000000
χ26222222222222222222-2-2-2-2-2-2-2-2-2000000000-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-111-21−i3i3i3−i300−i3i311-2111-21−i3i3i3−i300−i3i3−i3i3i3−i300−i3i3000000000000000000000000000
χ27222222222222222222-2-2-2-2-2-2-2-2-2000000000-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-111-21i3−i3−i3i300i3−i311-2111-21i3−i3−i3i300i3−i3i3−i3−i3i300i3−i3000000000000000000000000000
χ28222222222222222222-2-2-2-2-2-2-2-2-2000000000-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12111-2−i3i3−i3i3i3−i300111-2111-2−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300000000000000000000000000000
χ29222222222222222222-2-2-2-2-2-2-2-2-2000000000-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12111-2i3−i3i3−i3−i3i300111-2111-2i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300000000000000000000000000000
χ30222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-12-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i322-1-1-122-1-1-1-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000000000000000000000000
χ31222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-12-1-1-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32-12-1-1-1-122-1-1-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000000000000000000000000
χ32222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-12-1-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-12-1-1-1-1-122-1-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32000000000000000000000000000
χ33222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-12-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-1-12-1-1-1-1-1-1221+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3000000000000000000000000000
χ34222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-2-21+i31+i31+i31−i31−i31−i32-1-1-12-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i322-1-1-1-2-2111111−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000000000000
χ35222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-2-21+i31+i31+i31−i31−i31−i3-12-1-1-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32-12-1-111-2-211111+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000000000000000000
χ36222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-2-21+i31+i31+i31−i31−i31−i3-1-12-1-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-12-11111-2-2111+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000000000000000000000000
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χ1034-444-4-4−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i32−2i32−2i32−2i32+2i32+2i32+2i3000000000000000000-24-2-22-4221−i3−2+2i31−i31−i31+i3−2−2i31+i31+i3−1+i32−2i3−1+i3−1+i3−1−i32+2i3−1−i3−1−i3000000000000000000000000000000000000000000000000000000000000000
χ1044-444-4-4−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i32−2i32−2i32−2i32+2i32+2i32+2i3000000000000000000-2-24-222-421−i31−i3−2+2i31−i31+i31+i3−2−2i31+i3−1+i3−1+i32−2i3−1+i3−1−i3−1−i32+2i3−1−i3000000000000000000000000000000000000000000000000000000000000000
χ1054-444-4-4−2+2i3−2+2i3−2+2i3−2−2i3−2−2i3−2−2i32−2i32−2i32−2i32+2i32+2i32+2i3000000000000000000-2-2-24222-41−i31−i31−i3−2+2i31+i31+i31+i3−2−2i3−1+i3−1+i3−1+i32−2i3−1−i3−1−i3−1−i32+2i3000000000000000000000000000000000000000000000000000000000000000
χ10666−3−3i3−3+3i3−3−3i3−3+3i3−6ζ4−6ζ526ζ4+6ζ52−6ζ446ζ44+6ζ68−6ζ68−6ζ4−6ζ526ζ4+6ζ52−6ζ446ζ44+6ζ68−6ζ68-63+3i33−3i36ζ46ζ52−6ζ4−6ζ526ζ44−6ζ44−6ζ686ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10766−3−3i3−3+3i3−3−3i3−3+3i3−6ζ526ζ4+6ζ52−6ζ4−6ζ68−6ζ446ζ44+6ζ68−6ζ526ζ4+6ζ52−6ζ4−6ζ68−6ζ446ζ44+6ζ68-63+3i33−3i36ζ52−6ζ4−6ζ526ζ46ζ686ζ44−6ζ44−6ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10866−3−3i3−3+3i3−3−3i3−3+3i36ζ4+6ζ52−6ζ4−6ζ526ζ44+6ζ68−6ζ68−6ζ446ζ4+6ζ52−6ζ4−6ζ526ζ44+6ζ68−6ζ68−6ζ44-63+3i33−3i3−6ζ4−6ζ526ζ46ζ52−6ζ44−6ζ686ζ686ζ44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10966−3+3i3−3−3i3−3+3i3−3−3i3−6ζ44−6ζ686ζ44+6ζ68−6ζ52−6ζ46ζ4+6ζ52−6ζ44−6ζ686ζ44+6ζ68−6ζ52−6ζ46ζ4+6ζ52-63−3i33+3i36ζ446ζ68−6ζ44−6ζ686ζ526ζ4−6ζ4−6ζ52000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11066−3+3i3−3−3i3−3+3i3−3−3i36ζ44+6ζ68−6ζ44−6ζ68−6ζ46ζ4+6ζ52−6ζ526ζ44+6ζ68−6ζ44−6ζ68−6ζ46ζ4+6ζ52−6ζ52-63−3i33+3i3−6ζ44−6ζ686ζ446ζ686ζ4−6ζ4−6ζ526ζ52000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11166−3+3i3−3−3i3−3+3i3−3−3i3−6ζ686ζ44+6ζ68−6ζ446ζ4+6ζ52−6ζ52−6ζ4−6ζ686ζ44+6ζ68−6ζ446ζ4+6ζ52−6ζ52−6ζ4-63−3i33+3i36ζ68−6ζ44−6ζ686ζ44−6ζ4−6ζ526ζ526ζ4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1126-6−3−3i3−3+3i33+3i33−3i3−6ζ4−6ζ526ζ4+6ζ52−6ζ446ζ44+6ζ68−6ζ686ζ46ζ52−6ζ4−6ζ526ζ44−6ζ44−6ζ686ζ680000000000000000000000000000000000000000000000000000000000000000000000000000002−2−ζ21+ζ39ζ15−ζ69ζ21−ζ39−ζ15+ζ69−ζ13+ζ31ζ7−ζ61−ζ7+ζ13−ζ31+ζ61ζ13−ζ31−ζ7+ζ61ζ7−ζ13+ζ31−ζ61−ζ53+ζ71ζ5−ζ23+ζ53−ζ71−ζ5+ζ23ζ53−ζ71−ζ5+ζ23−ζ53+ζ71ζ5−ζ23000000000
χ1136-6−3−3i3−3+3i33+3i33−3i3−6ζ4−6ζ526ζ4+6ζ52−6ζ446ζ44+6ζ68−6ζ686ζ46ζ52−6ζ4−6ζ526ζ44−6ζ44−6ζ686ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000−22ζ21−ζ39−ζ15+ζ69−ζ21+ζ39ζ15−ζ69ζ13−ζ31−ζ7+ζ61ζ7−ζ13+ζ31−ζ61−ζ13+ζ31ζ7−ζ61−ζ7+ζ13−ζ31+ζ61ζ53−ζ71−ζ5+ζ23−ζ53+ζ71ζ5−ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71−ζ5+ζ23000000000
χ1146-6−3−3i3−3+3i33+3i33−3i3−6ζ526ζ4+6ζ52−6ζ4−6ζ68−6ζ446ζ44+6ζ686ζ52−6ζ4−6ζ526ζ46ζ686ζ44−6ζ44−6ζ680000000000000000000000000000000000000000000000000000000000000000000000000000002−2−ζ21+ζ39ζ15−ζ69ζ21−ζ39−ζ15+ζ69ζ7−ζ61−ζ7+ζ13−ζ31+ζ61−ζ13+ζ31−ζ7+ζ61ζ7−ζ13+ζ31−ζ61ζ13−ζ31−ζ5+ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71ζ5−ζ23ζ53−ζ71−ζ5+ζ23−ζ53+ζ71000000000
χ1156-6−3−3i3−3+3i33+3i33−3i3−6ζ526ζ4+6ζ52−6ζ4−6ζ68−6ζ446ζ44+6ζ686ζ52−6ζ4−6ζ526ζ46ζ686ζ44−6ζ44−6ζ68000000000000000000000000000000000000000000000000000000000000000000000000000000−22ζ21−ζ39−ζ15+ζ69−ζ21+ζ39ζ15−ζ69−ζ7+ζ61ζ7−ζ13+ζ31−ζ61ζ13−ζ31ζ7−ζ61−ζ7+ζ13−ζ31+ζ61−ζ13+ζ31ζ5−ζ23ζ53−ζ71−ζ5+ζ23−ζ53+ζ71−ζ5+ζ23−ζ53+ζ71ζ5−ζ23+ζ53−ζ71000000000
χ1166-6−3−3i3−3+3i33+3i33−3i36ζ4+6ζ52−6ζ4−6ζ526ζ44+6ζ68−6ζ68−6ζ44−6ζ4−6ζ526ζ46ζ52−6ζ44−6ζ686ζ686ζ440000000000000000000000000000000000000000000000000000000000000000000000000000002−2−ζ21+ζ39ζ15−ζ69ζ21−ζ39−ζ15+ζ69−ζ7+ζ13−ζ31+ζ61−ζ13+ζ31ζ7−ζ61ζ7−ζ13+ζ31−ζ61ζ13−ζ31−ζ7+ζ61ζ5−ζ23+ζ53−ζ71−ζ5+ζ23−ζ53+ζ71−ζ5+ζ23−ζ53+ζ71ζ5−ζ23ζ53−ζ71000000000
χ1176-6−3−3i3−3+3i33+3i33−3i36ζ4+6ζ52−6ζ4−6ζ526ζ44+6ζ68−6ζ68−6ζ44−6ζ4−6ζ526ζ46ζ52−6ζ44−6ζ686ζ686ζ44000000000000000000000000000000000000000000000000000000000000000000000000000000−22ζ21−ζ39−ζ15+ζ69−ζ21+ζ39ζ15−ζ69ζ7−ζ13+ζ31−ζ61ζ13−ζ31−ζ7+ζ61−ζ7+ζ13−ζ31+ζ61−ζ13+ζ31ζ7−ζ61−ζ5+ζ23−ζ53+ζ71ζ5−ζ23ζ53−ζ71ζ5−ζ23+ζ53−ζ71−ζ5+ζ23−ζ53+ζ71000000000
χ1186-6−3+3i3−3−3i33−3i33+3i3−6ζ44−6ζ686ζ44+6ζ68−6ζ52−6ζ46ζ4+6ζ526ζ446ζ68−6ζ44−6ζ686ζ526ζ4−6ζ4−6ζ520000000000000000000000000000000000000000000000000000000000000000000000000000002−2ζ15−ζ69−ζ21+ζ39−ζ15+ζ69ζ21−ζ39−ζ53+ζ71−ζ5+ζ23ζ5−ζ23+ζ53−ζ71ζ53−ζ71ζ5−ζ23−ζ5+ζ23−ζ53+ζ71ζ7−ζ61−ζ13+ζ31−ζ7+ζ13−ζ31+ζ61−ζ7+ζ61ζ13−ζ31ζ7−ζ13+ζ31−ζ61000000000
χ1196-6−3+3i3−3−3i33−3i33+3i3−6ζ44−6ζ686ζ44+6ζ68−6ζ52−6ζ46ζ4+6ζ526ζ446ζ68−6ζ44−6ζ686ζ526ζ4−6ζ4−6ζ52000000000000000000000000000000000000000000000000000000000000000000000000000000−22−ζ15+ζ69ζ21−ζ39ζ15−ζ69−ζ21+ζ39ζ53−ζ71ζ5−ζ23−ζ5+ζ23−ζ53+ζ71−ζ53+ζ71−ζ5+ζ23ζ5−ζ23+ζ53−ζ71−ζ7+ζ61ζ13−ζ31ζ7−ζ13+ζ31−ζ61ζ7−ζ61−ζ13+ζ31−ζ7+ζ13−ζ31+ζ61000000000
χ1206-6−3+3i3−3−3i33−3i33+3i36ζ44+6ζ68−6ζ44−6ζ68−6ζ46ζ4+6ζ52−6ζ52−6ζ44−6ζ686ζ446ζ686ζ4−6ζ4−6ζ526ζ520000000000000000000000000000000000000000000000000000000000000000000000000000002−2ζ15−ζ69−ζ21+ζ39−ζ15+ζ69ζ21−ζ39ζ5−ζ23+ζ53−ζ71−ζ53+ζ71−ζ5+ζ23−ζ5+ζ23−ζ53+ζ71ζ53−ζ71ζ5−ζ23−ζ13+ζ31−ζ7+ζ13−ζ31+ζ61ζ7−ζ61ζ13−ζ31ζ7−ζ13+ζ31−ζ61−ζ7+ζ61000000000
χ1216-6−3+3i3−3−3i33−3i33+3i36ζ44+6ζ68−6ζ44−6ζ68−6ζ46ζ4+6ζ52−6ζ52−6ζ44−6ζ686ζ446ζ686ζ4−6ζ4−6ζ526ζ52000000000000000000000000000000000000000000000000000000000000000000000000000000−22−ζ15+ζ69ζ21−ζ39ζ15−ζ69−ζ21+ζ39−ζ5+ζ23−ζ53+ζ71ζ53−ζ71ζ5−ζ23ζ5−ζ23+ζ53−ζ71−ζ53+ζ71−ζ5+ζ23ζ13−ζ31ζ7−ζ13+ζ31−ζ61−ζ7+ζ61−ζ13+ζ31−ζ7+ζ13−ζ31+ζ61ζ7−ζ61000000000
χ1226-6−3+3i3−3−3i33−3i33+3i3−6ζ686ζ44+6ζ68−6ζ446ζ4+6ζ52−6ζ52−6ζ46ζ68−6ζ44−6ζ686ζ44−6ζ4−6ζ526ζ526ζ40000000000000000000000000000000000000000000000000000000000000000000000000000002−2ζ15−ζ69−ζ21+ζ39−ζ15+ζ69ζ21−ζ39−ζ5+ζ23ζ5−ζ23+ζ53−ζ71−ζ53+ζ71ζ5−ζ23−ζ5+ζ23−ζ53+ζ71ζ53−ζ71−ζ7+ζ13−ζ31+ζ61ζ7−ζ61−ζ13+ζ31ζ7−ζ13+ζ31−ζ61−ζ7+ζ61ζ13−ζ31000000000
χ1236-6−3+3i3−3−3i33−3i33+3i3−6ζ686ζ44+6ζ68−6ζ446ζ4+6ζ52−6ζ52−6ζ46ζ68−6ζ44−6ζ686ζ44−6ζ4−6ζ526ζ526ζ4000000000000000000000000000000000000000000000000000000000000000000000000000000−22−ζ15+ζ69ζ21−ζ39ζ15−ζ69−ζ21+ζ39ζ5−ζ23−ζ5+ζ23−ζ53+ζ71ζ53−ζ71−ζ5+ζ23ζ5−ζ23+ζ53−ζ71−ζ53+ζ71ζ7−ζ13+ζ31−ζ61−ζ7+ζ61ζ13−ζ31−ζ7+ζ13−ζ31+ζ61ζ7−ζ61−ζ13+ζ31000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.