Finite Group Databasebeta

← Group #13057282

Character table — Group #13057282

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size11222667777777777121212141414141414141414141414141414112226677777777771212121414141414141414141414141414141122266777777777712121214141414141414141414141414141411222667777777777121212141414141414141414141414141414
order122247143344661212121214142824466666612121212121244444282812124412121212121228282844412121212121212121212121222224141466446612121212141428244666666121212121212444442828121244121212121212282828444121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1111111111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1111111111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1111111111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1
χ31111111−1−i32−1+i3211−1−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+i321111111−1−i32−1+i3211−1−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+i321111111−1−i32−1+i3211−1−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+i321111111−1−i32−1+i3211−1−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+i32
χ41111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32111-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32111-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32111-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i321111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32111-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32
χ51111111−1+i32−1−i3211−1+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−i321111111−1+i32−1−i3211−1+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−i321111111−1+i32−1−i3211−1+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−i321111111−1+i32−1−i3211−1+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−i32
χ61111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32111-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32111-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32111-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i321111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32111-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32
χ7111-1-11111111111111-1-1-11-11-11-1-1-1-1-11-11-1111-1-11111111111111-1-1-11-11-11-1-1-1-1-11-11-1111-1-11111111111111-1-1-11-11-11-1-1-1-1-11-11-1111-1-11111111111111-1-1-11-11-11-1-1-1-1-11-11-1
χ8111-1-11111-1-111-1-1-1-11-1-11-111-11-111-1-1-11-11111-1-11111-1-111-1-1-1-11-1-11-111-11-111-1-1-11-11111-1-11111-1-111-1-1-1-11-1-11-111-11-111-1-1-11-11111-1-11111-1-111-1-1-1-11-1-11-111-11-111-1-1-11-11
χ9111-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-11-1−1−i321+i32−1+i321−i321+i321−i321+i321−i32−1−i321+i32−1+i321−i32111-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-11-1−1−i321+i32−1+i321−i321+i321−i321+i321−i32−1−i321+i32−1+i321−i32111-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-11-1−1−i321+i32−1+i321−i321+i321−i321+i321−i32−1−i321+i32−1+i321−i32111-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-11-1−1−i321+i32−1+i321−i321+i321−i321+i321−i32−1−i321+i32−1+i321−i32
χ10111-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-1-11-11−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32111-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-1-11-11−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32111-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-1-11-11−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32111-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-1-11-11−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32
χ11111-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-11-1−1+i321−i32−1−i321+i321−i321+i321−i321+i32−1+i321−i32−1−i321+i32111-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-11-1−1+i321−i32−1−i321+i321−i321+i321−i321+i32−1+i321−i32−1−i321+i32111-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-11-1−1+i321−i32−1−i321+i321−i321+i321−i321+i32−1+i321−i32−1−i321+i32111-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-11-1−1+i321−i32−1−i321+i321−i321+i321−i321+i32−1+i321−i32−1−i321+i32
χ12111-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-1-11-11−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32111-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-1-11-11−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32111-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-1-11-11−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32111-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-1-11-11−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32
χ1311-11-1111111111111-11-1-1-11-11-11-1-1-1-1-11-1111-11-1111111111111-11-1-1-11-11-11-1-1-1-1-11-1111-11-1111111111111-11-1-1-11-11-11-1-1-1-1-11-1111-11-1111111111111-11-1-1-11-11-11-1-1-1-1-11-11
χ1411-11-11111-1-111-1-1-1-1-11-111-1-11-1111-1-11-11-111-11-11111-1-111-1-1-1-1-11-111-1-11-1111-1-11-11-111-11-11111-1-111-1-1-1-1-11-111-1-11-1111-1-11-11-111-11-11111-1-111-1-1-1-1-11-111-1-11-1111-1-11-11-1
χ1511-11-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-1-111+i32−1−i321−i32−1+i321+i321−i321+i321−i321+i32−1−i321−i32−1+i3211-11-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-1-111+i32−1−i321−i32−1+i321+i321−i321+i321−i321+i32−1−i321−i32−1+i3211-11-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-1-111+i32−1−i321−i32−1+i321+i321−i321+i321−i321+i32−1−i321−i32−1+i3211-11-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-1-111+i32−1−i321−i32−1+i321+i321−i321+i321−i321+i32−1−i321−i32−1+i32
χ1611-11-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-11-111-11+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i3211-11-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-11-111-11+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i3211-11-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-11-111-11+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i3211-11-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-11-111-11+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32
χ1711-11-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-1-111−i32−1+i321+i32−1−i321−i321+i321−i321+i321−i32−1+i321+i32−1−i3211-11-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-1-111−i32−1+i321+i32−1−i321−i321+i321−i321+i321−i32−1+i321+i32−1−i3211-11-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-1-111−i32−1+i321+i32−1−i321−i321+i321−i321+i321−i32−1+i321+i32−1−i3211-11-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-1-111−i32−1+i321+i32−1−i321−i321+i321−i321+i321−i32−1+i321+i32−1−i32
χ1811-11-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-11-111-11−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i3211-11-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-11-111-11−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i3211-11-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-11-111-11−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i3211-11-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-11-111-11−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32
χ1911-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ2011-1-111111-1-111-1-1-1-1-1-11-111-1-1-1-1-1-111111111-1-111111-1-111-1-1-1-1-1-11-111-1-1-1-1-1-111111111-1-111111-1-111-1-1-1-1-1-11-111-1-1-1-1-1-111111111-1-111111-1-111-1-1-1-1-1-11-111-1-1-1-1-1-1111111
χ2111-1-1111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-1111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ2211-1-1111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-11-1111+i321+i321−i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-11-1111+i321+i321−i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-11-1111+i321+i321−i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-11-1111+i321+i321−i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ2311-1-1111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-1111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ2411-1-1111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-11-1111−i321−i321+i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-11-1111−i321−i321+i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-11-1111−i321−i321+i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-11-1111−i321−i321+i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ252-20002-2222i−2i-2-22i−2i2i−2i0000000000000000002-20002-2222i−2i-2-22i−2i2i−2i0000000000000000002-20002-2222i−2i-2-22i−2i2i−2i0000000000000000002-20002-2222i−2i-2-22i−2i2i−2i000000000000000000
χ262-20002-222−2i2i-2-2−2i2i−2i2i0000000000000000002-20002-222−2i2i-2-2−2i2i−2i2i0000000000000000002-20002-222−2i2i-2-2−2i2i−2i2i0000000000000000002-20002-222−2i2i-2-2−2i2i−2i2i000000000000000000
χ272-20002-2−1−i3−1+i32i−2i1+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000002-20002-2−1−i3−1+i32i−2i1+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000002-20002-2−1−i3−1+i32i−2i1+i31−i32ζ11−2ζ112ζ7−2ζ70000000000000000002-20002-2−1−i3−1+i32i−2i1+i31−i32ζ11−2ζ112ζ7−2ζ7000000000000000000
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χ7012-12000-22000000000000000000000000000012i−12i000−2i2i0000000000000000000000000000-12120002-20000000000000000000000000000−12i12i0002i−2i0000000000000000000000000000
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ72111111111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-1-1-111-1-11111111111111-1-111-1-1-1-1111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1111-1-1-1-111-1-11111
χ731111111−1−i32−1+i3211−1−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+i32-1-1-1-1-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321+i321−i321−i321+i321−i321+i321−i321+i321+i321−i321−i321111111−1−i32−1+i3211−1−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+i32-1-1-1-1-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1-1-1-1-1-11+i321+i321−i321−i321+i321−i321+i321−i321+i321+i321−i321−i32
χ741111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32111-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-11111+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32111-1-1-1−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-11111+i321+i321−i321−i32−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ751111111−1+i32−1−i3211−1+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−i32-1-1-1-1-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321−i321+i321+i321−i321+i321−i321+i321−i321−i321+i321+i321111111−1+i32−1−i3211−1+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−i32-1-1-1-1-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1-1-1-1-1-11−i321−i321+i321+i321−i321+i321−i321+i321−i321−i321+i321+i32
χ761111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32111-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-11111−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32111-1-1-1−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-11111−i321−i321+i321+i32−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ77111-1-11111111111111-1-1-11-11-11-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-111111-11-11111-1-11111111111111-1-1-11-11-11-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-111111-11-11
χ78111-1-11111-1-111-1-1-1-11-1-11-111-11-111-1-1-11-11-1-1-111-1-1-1-111-1-11111-111-11-1-11-11-1-1111-11-1111-1-11111-1-111-1-1-1-11-1-11-111-11-111-1-1-11-11-1-1-111-1-1-1-111-1-11111-111-11-1-11-11-1-1111-11-1
χ79111-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-11-1−1−i321+i32−1+i321−i321+i321−i321+i321−i32−1−i321+i32−1+i321−i32-1-1-111-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1111-111+i32−1−i321−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i32111-1-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-11-1−1−i321+i32−1+i321−i321+i321−i321+i321−i32−1−i321+i32−1+i321−i32-1-1-111-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32-1111-111+i32−1−i321−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ80111-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-1-11-11−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32-1-1-111-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-111-11-11+i32−1−i321−i32−1+i321+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32111-1-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321-1-11-11−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i321+i32−1−i321−i32−1+i32-1-1-111-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32-111-11-11+i32−1−i321−i32−1+i321+i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ81111-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-11-1−1+i321−i32−1−i321+i321−i321+i321−i321+i32−1+i321−i32−1−i321+i32-1-1-111-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1111-111−i32−1+i321+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i32111-1-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-11-1−1+i321−i32−1−i321+i321−i321+i321−i321+i32−1+i321−i32−1−i321+i32-1-1-111-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32-1111-111−i32−1+i321+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ82111-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-1-11-11−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32-1-1-111-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-111-11-11−i32−1+i321+i32−1−i321−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32111-1-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321-1-11-11−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i321−i32−1+i321+i32−1−i32-1-1-111-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32-111-11-11−i32−1+i321+i32−1−i321−i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ8311-11-1111111111111-11-1-1-11-11-11-1-1-1-1-11-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-11-111111-11-111-11-1111111111111-11-1-1-11-11-11-1-1-1-1-11-11-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-11-111111-11-1
χ8411-11-11111-1-111-1-1-1-1-11-111-1-11-1111-1-11-11-1-1-11-11-1-1-1-111-1-111111-11-1-111-11-1-1-111-11-1111-11-11111-1-111-1-1-1-1-11-111-1-11-1111-1-11-11-1-1-11-11-1-1-1-111-1-111111-11-1-111-11-1-1-111-11-11
χ8511-11-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-1-111+i32−1−i321−i32−1+i321+i321−i321+i321−i321+i32−1−i321−i32−1+i32-1-11-11-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i321-1111-1−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i3211-11-111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11-1-1-111+i32−1−i321−i32−1+i321+i321−i321+i321−i321+i32−1−i321−i32−1+i32-1-11-11-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i321-1111-1−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i321+i32−1+i321−i32
χ8611-11-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-11-111-11+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-1-11-11-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i321-11-1-11−1−i321+i32−1+i321−i321+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i3211-11-111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-11-111-11+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i32−1+i321−i32-1-11-11-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i321-11-1-11−1−i321+i32−1+i321−i321+i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i32
χ8711-11-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-1-111−i32−1+i321+i32−1−i321−i321+i321−i321+i321−i32−1+i321+i32−1−i32-1-11-11-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i321-1111-1−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i3211-11-111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11-1-1-111−i32−1+i321+i32−1−i321−i321+i321−i321+i321−i32−1+i321+i32−1−i32-1-11-11-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i321-1111-1−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i321−i32−1−i321+i32
χ8811-11-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-11-111-11−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-1-11-11-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i321-11-1-11−1+i321−i32−1−i321+i321−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i3211-11-111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-11-111-11−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i32−1−i321+i32-1-11-11-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i321-11-1-11−1+i321−i32−1−i321+i321−i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i32
χ8911-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-11111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ9011-1-111111-1-111-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1111111-11-1-1111111-1-1-1-1-1-111-1-111111-1-111-1-1-1-1-1-11-111-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1111111-11-1-1111111-1-1-1-1-1-1
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χ9211-1-1111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-11-1111+i321+i321−i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i3211-11-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i3211-1-1111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-11-1111+i321+i321−i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i3211-11-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32
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χ12611-1-1111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−i−iii−i−i−i−ζ11−ζ7−i−i−ζ11−ζ7−ζ11−ζ11−ζ7−ζ7ii−i−iiiζ11ζ11ζ7ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ11ζ7ζ7-1-111-1-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i3211-1-111−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32ii−i−iiiiζ11ζ7iiζ11ζ7ζ11ζ11ζ7ζ7−i−iii−i−i−ζ11−ζ11−ζ7−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ11−ζ7−ζ7
χ12711-1-1111−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-11-1111+i321+i321−i321−i321+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−i−iii−i−i−i−ζ11−ζ7ii−ζ11−ζ7ζ11ζ11ζ7ζ7ii−ii−i−iζ11ζ11ζ7ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ11−ζ7−ζ7-1-111-1-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i3211-11-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32ii−i−iiiiζ11ζ7−i−iζ11ζ7−ζ11−ζ11−ζ7−ζ7−i−ii−iii−ζ11−ζ11−ζ7−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ11ζ7ζ7
χ12811-1-1111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−i−iii−i−i−i−ζ7−ζ11−i−i−ζ7−ζ11−ζ7−ζ7−ζ11−ζ11ii−i−iiiζ7ζ7ζ11ζ11−ζ7−ζ11−ζ7−ζ11ζ7ζ7ζ11ζ11-1-111-1-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i3211-1-111−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32ii−i−iiiiζ7ζ11iiζ7ζ11ζ7ζ7ζ11ζ11−i−iii−i−i−ζ7−ζ7−ζ11−ζ11ζ7ζ11ζ7ζ11−ζ7−ζ7−ζ11−ζ11
χ12911-1-1111−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-11-1111−i321−i321+i321+i321−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−i−iii−i−i−i−ζ7−ζ11ii−ζ7−ζ11ζ7ζ7ζ11ζ11ii−ii−i−iζ7ζ7ζ11ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ7−ζ11−ζ11-1-111-1-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i3211-11-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32ii−i−iiiiζ7ζ11−i−iζ7ζ11−ζ7−ζ7−ζ11−ζ11−i−ii−iii−ζ7−ζ7−ζ11−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ7ζ11ζ11
χ1302-20002-2222i−2i-2-22i−2i2i−2i000000000000000000−2i2i000−2i2i−2i−2i2-22i2i2-22-2000000000000000000-22000-22-2-2−2i2i22−2i2i−2i2i0000000000000000002i−2i0002i−2i2i2i-22−2i−2i-22-22000000000000000000
χ1312-20002-222−2i2i-2-2−2i2i−2i2i000000000000000000−2i2i000−2i2i−2i−2i-222i2i-22-22000000000000000000-22000-22-2-22i−2i222i−2i2i−2i0000000000000000002i−2i0002i−2i2i2i2-2−2i−2i2-22-2000000000000000000
χ1322-20002-2−1−i3−1+i32i−2i1+i31−i32ζ11−2ζ112ζ7−2ζ7000000000000000000−2i2i000−2i2i−2ζ11−2ζ72-22ζ112ζ7−1−i31+i3−1+i31−i3000000000000000000-22000-221+i31−i3−2i2i−1−i3−1+i3−2ζ112ζ11−2ζ72ζ70000000000000000002i−2i0002i−2i2ζ112ζ7-22−2ζ11−2ζ71+i3−1−i31−i3−1+i3000000000000000000
χ1332-20002-2−1−i3−1+i3−2i2i1+i31−i3−2ζ112ζ11−2ζ72ζ7000000000000000000−2i2i000−2i2i−2ζ11−2ζ7-222ζ112ζ71+i3−1−i31−i3−1+i3000000000000000000-22000-221+i31−i32i−2i−1−i3−1+i32ζ11−2ζ112ζ7−2ζ70000000000000000002i−2i0002i−2i2ζ112ζ72-2−2ζ11−2ζ7−1−i31+i3−1+i31−i3000000000000000000
χ1342-20002-2−1+i3−1−i32i−2i1−i31+i32ζ7−2ζ72ζ11−2ζ11000000000000000000−2i2i000−2i2i−2ζ7−2ζ112-22ζ72ζ11−1+i31−i3−1−i31+i3000000000000000000-22000-221−i31+i3−2i2i−1+i3−1−i3−2ζ72ζ7−2ζ112ζ110000000000000000002i−2i0002i−2i2ζ72ζ11-22−2ζ7−2ζ111−i3−1+i31+i3−1−i3000000000000000000
χ1352-20002-2−1+i3−1−i3−2i2i1−i31+i3−2ζ72ζ7−2ζ112ζ11000000000000000000−2i2i000−2i2i−2ζ7−2ζ11-222ζ72ζ111−i3−1+i31+i3−1−i3000000000000000000-22000-221−i31+i32i−2i−1+i3−1−i32ζ7−2ζ72ζ11−2ζ110000000000000000002i−2i0002i−2i2ζ72ζ112-2−2ζ7−2ζ11−1+i31−i3−1−i31+i3000000000000000000
χ13666666-1-10000000000-1-1-1000000000000000−6i−6i−6i−6i−6iii0000000000iii000000000000000-6-6-6-6-61100000000001110000000000000006i6i6i6i6i−i−i0000000000−i−i−i000000000000000
χ137666-6-6-1-10000000000-111000000000000000−6i−6i−6i6i6iii0000000000i−i−i000000000000000-6-6-6661100000000001-1-10000000000000006i6i6i−6i−6i−i−i0000000000−iii000000000000000
χ13866-66-6-1-100000000001-11000000000000000−6i−6i6i−6i6iii0000000000−ii−i000000000000000-6-66-66110000000000-11-10000000000000006i6i−6i6i−6i−i−i0000000000i−ii000000000000000
χ13966-6-66-1-1000000000011-1000000000000000−6i−6i6i6i−6iii0000000000−i−ii000000000000000-6-666-6110000000000-1-110000000000000006i6i−6i−6i6i−i−i0000000000ii−i000000000000000
χ14012-12000-220000000000000000000000000000−12i12i0002i−2i0000000000000000000000000000-12120002-2000000000000000000000000000012i−12i000−2i2i0000000000000000000000000000

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