Finite Group Databasebeta

← Group #72268947

Character table — Group #72268947

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size11222223333336666666666666666666888888888888999918181818181818181818181818182424242424242424242424242424242424242424242424242424242424242424108108108108108108108108108108108108
order12346121222336646699912121212181818363636363636333666121212121212666612121818181818183636363636363366999999121212121818181818183636363636363636363636362244666612121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ4111111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i3211−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321−i321−i321+i321+i321−i321−i32
χ5111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ6111111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i3211−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ7111-11-1-1111111-111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11-1
χ8111-11-1-1111111-111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-11-11
χ9111-11-1-111−1−i32−1+i32−1−i32−1+i32-1111−1−i32−1+i32-1-11+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32111111-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321-11-1−1−i321+i32−1+i321−i32−1−i321+i32−1+i321−i32
χ10111-11-1-111−1−i32−1+i32−1−i32−1+i32-1111−1−i32−1+i32-1-11+i321−i321−1−i32−1+i32-1-11+i321+i321−i321−i32111111-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-11-111+i32−1−i321−i32−1+i321+i32−1−i321−i32−1+i32
χ11111-11-1-111−1+i32−1−i32−1+i32−1−i32-1111−1+i32−1−i32-1-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32111111-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321-11-1−1+i321−i32−1−i321+i32−1+i321−i32−1−i321+i32
χ12111-11-1-111−1+i32−1−i32−1+i32−1−i32-1111−1+i32−1−i32-1-11−i321+i321−1+i32−1−i32-1-11−i321−i321+i321+i32111111-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-11-111−i32−1+i321+i32−1−i321−i32−1+i321+i32−1−i32
χ1322222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ142222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ152222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-1-1-1-1-12-12-12-122-1-122-1-122-1-1000000000000
χ162222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-1-1-1-1-12-12-12-1-122-1-122-1-122000000000000
χ17222222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i322−1−i3−1+i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322−1−i3−1−i3−1+i3−1+i322−1−i3−1−i3−1+i3−1+i31+i321−i321+i321−i32-1-11+i321+i321−i321−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ18222222222−1−i3−1+i3−1−i3−1+i3222-11+i321−i3222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000
χ19222222222−1−i3−1+i3−1−i3−1+i3222-11+i321−i3222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321−i321+i321−i322-1−1−i31+i32−1+i31−i321+i321+i321−i321−i322-1−1−i31+i32−1+i31−i3222-1-1−1−i3−1−i31+i321+i32−1+i3−1+i31−i321−i32000000000000
χ20222222222−1−i3−1+i3−1−i3−1+i3222-11+i321−i3222−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i321−i321+i321−i32-121+i32−1−i31−i32−1+i31+i321+i321−i321−i32-121+i32−1−i31−i32−1+i3-1-1221+i321+i32−1−i3−1−i31−i321−i32−1+i3−1+i3000000000000
χ21222222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i322−1+i3−1−i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322−1+i3−1+i3−1−i3−1−i322−1+i3−1+i3−1−i3−1−i31−i321+i321−i321+i32-1-11−i321−i321+i321+i321−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ22222222222−1+i3−1−i3−1+i3−1−i3222-11−i321+i3222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000
χ23222222222−1+i3−1−i3−1+i3−1−i3222-11−i321+i3222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i321+i321−i321+i322-1−1+i31−i32−1−i31+i321−i321−i321+i321+i322-1−1+i31−i32−1−i31+i3222-1-1−1+i3−1+i31−i321−i32−1−i3−1−i31+i321+i32000000000000
χ24222222222−1+i3−1−i3−1+i3−1−i3222-11−i321+i3222−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i321+i321−i321+i32-121−i32−1+i31+i32−1−i31−i321−i321+i321+i32-121−i32−1+i31+i32−1−i3-1-1221−i321−i32−1+i3−1+i31+i321+i32−1−i3−1−i3000000000000
χ25222-22-2-2222222-222222-2-2-2-2222-2-2-2-2-2-2-1-1-1-1-1-11111112222-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111000000000000
χ26222-22-2-2222222-222-1-1-1-2-2-2-2-1-1-1111111222222-2-2-2-2-2-22222-2-2-1-1-1-1-1-11111112222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1111111111111000000000000
χ27222-22-2-2222222-222-1-1-1-2-2-2-2-1-1-1111111-1-1-1-1-1-11111112222-2-2-1-1-1-1-1-1111111-1-1-1-12-12-12-111112-12-12-1-2-211-2-211-2-211000000000000
χ28222-22-2-2222222-222-1-1-1-2-2-2-2-1-1-1111111-1-1-1-1-1-11111112222-2-2-1-1-1-1-1-1111111-1-1-1-1-12-12-121111-12-12-1211-2-211-2-211-2-2000000000000
χ29222-22-2-222−1−i3−1+i3−1−i3−1+i3-2222−1−i3−1+i3-2-21+i31−i32−1−i3−1+i3-2-21+i31+i31−i31−i3-1-1-1-1-1-1111111−1−i3−1+i3−1−i3−1+i31+i31−i322−1−i3−1−i3−1+i3−1+i3-2-21+i31+i31−i31−i31+i321−i321+i321−i32-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ30222-22-2-222−1−i3−1+i3−1−i3−1+i3-222-11+i321−i32-2-21+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32222222-2-2-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i3−1+i3−1−i3−1+i3-1-11+i321+i321−i321−i321+i31+i31−i31−i3-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ31222-22-2-222−1−i3−1+i3−1−i3−1+i3-222-11+i321−i32-2-21+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1111111−1−i3−1+i3−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i322-1−1−i31+i32−1+i31−i32−1−i32−1−i32−1+i32−1+i322-1−1−i31+i32−1+i31−i32-2-2111+i31+i3−1−i32−1−i321−i31−i3−1+i32−1+i32000000000000
χ32222-22-2-222−1−i3−1+i3−1−i3−1+i3-222-11+i321−i32-2-21+i31−i3-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1111111−1−i3−1+i3−1−i3−1+i31+i31−i3-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32-121+i32−1−i31−i32−1+i3−1−i32−1−i32−1+i32−1+i32-121+i32−1−i31−i32−1+i311-2-2−1−i32−1−i321+i31+i3−1+i32−1+i321−i31−i3000000000000
χ33222-22-2-222−1+i3−1−i3−1+i3−1−i3-2222−1+i3−1−i3-2-21−i31+i32−1+i3−1−i3-2-21−i31−i31+i31+i3-1-1-1-1-1-1111111−1+i3−1−i3−1+i3−1−i31−i31+i322−1+i3−1+i3−1−i3−1−i3-2-21−i31−i31+i31+i31−i321+i321−i321+i32-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ34222-22-2-222−1+i3−1−i3−1+i3−1−i3-222-11−i321+i32-2-21−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32222222-2-2-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i3−1−i3−1+i3−1−i3-1-11−i321−i321+i321+i321−i31−i31+i31+i3-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000
χ35222-22-2-222−1+i3−1−i3−1+i3−1−i3-222-11−i321+i32-2-21−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1111111−1+i3−1−i3−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i322-1−1+i31−i32−1−i31+i32−1+i32−1+i32−1−i32−1−i322-1−1+i31−i32−1−i31+i32-2-2111−i31−i3−1+i32−1+i321+i31+i3−1−i32−1−i32000000000000
χ36222-22-2-222−1+i3−1−i3−1+i3−1−i3-222-11−i321+i32-2-21−i31+i3-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1111111−1+i3−1−i3−1+i3−1−i31−i31+i3-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32-121−i32−1+i31+i32−1−i3−1+i32−1+i32−1−i32−1−i32-121−i32−1+i31+i32−1−i311-2-2−1+i32−1+i321−i31−i3−1−i32−1−i321+i31+i3000000000000
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χ81666-66-6-6-2-2−3+3i3−3−3i3−3+3i3−3−3i32-2-2-33−3i323+3i32223−3i33+3i3-33−3i323+3i3233−3+3i32−3+3i32−3−3i32−3−3i320000000000001−i31+i31−i31+i3−1+i3−1−i311−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3200000000000000000000000000000000000000000000
χ8266-36-3-3-36600006-3-3000-3-3000000000006-3-36-3-36-3-36-3-300000000000000000000000000000000000000000000000000000000000000
χ8366-36-3-3-36600006-3-3000-3-300000000000-36-3-36-3-36-3-36-300000000000000000000000000000000000000000000000000000000000000
χ8466-36-3-3-36600006-3-3000-3-300000000000-3-36-3-36-3-36-3-3600000000000000000000000000000000000000000000000000000000000000
χ8566-3-6-333660000-6-3-300033000000000006-3-36-3-3-633-63300000000000000000000000000000000000000000000000000000000000000
χ8666-3-6-333660000-6-3-30003300000000000-36-3-36-33-633-6300000000000000000000000000000000000000000000000000000000000000
χ8766-3-6-333660000-6-3-30003300000000000-3-36-3-3633-633-600000000000000000000000000000000000000000000000000000000000000
χ886-660-6002-266-6-60-226660000-6-6-600000000000000000022-2-200-22-22-2200000000000000000000000000000000000000000000000000
χ896-660-6002-266-6-60-22-3-3-3000033333−3333−3333−3300000000000022-2-2001-11-11-1−33−33−3300000000000000000000000000000000000000000000
χ906-660-6002-266-6-60-22-3-3-30000333−3333−3333−333300000000000022-2-2001-11-11-13−33−33−300000000000000000000000000000000000000000000
χ916-660-6002-2−3−3i3−3+3i33+3i33−3i30-226−3−3i3−3+3i30000-63+3i33−3i3000000000000000000−1−i3−1+i31+i31−i300-221+i3−1−i31−i3−1+i300000000000000000000000000000000000000000000000000
χ926-660-6002-2−3−3i3−3+3i33+3i33−3i30-22-33+3i323−3i3200003−3−3i32−3+3i3233−336ζ7+3ζ11−6ζ7−3ζ11−3ζ7−6ζ113ζ7+6ζ11000000000000−1−i3−1+i31+i31−i3001-1−1−i321+i32−1+i321−i32−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000000000000000000000000000000000
χ936-660-6002-2−3−3i3−3+3i33+3i33−3i30-22-33+3i323−3i3200003−3−3i32−3+3i32−3333−6ζ7−3ζ116ζ7+3ζ113ζ7+6ζ11−3ζ7−6ζ11000000000000−1−i3−1+i31+i31−i3001-1−1−i321+i32−1+i321−i323−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000000000000000000000000000000000
χ946-660-6002-2−3+3i3−3−3i33−3i33+3i30-226−3+3i3−3−3i30000-63−3i33+3i3000000000000000000−1+i3−1−i31−i31+i300-221−i3−1+i31+i3−1−i300000000000000000000000000000000000000000000000000
χ956-660-6002-2−3+3i3−3−3i33−3i33+3i30-22-33−3i323+3i3200003−3+3i32−3−3i3233−33−3ζ7−6ζ113ζ7+6ζ116ζ7+3ζ11−6ζ7−3ζ11000000000000−1+i3−1−i31−i31+i3001-1−1+i321−i32−1−i321+i32−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000000000000000000000000000000000000000
χ966-660-6002-2−3+3i3−3−3i33−3i33+3i30-22-33−3i323+3i3200003−3+3i32−3−3i32−33333ζ7+6ζ11−3ζ7−6ζ11−6ζ7−3ζ116ζ7+3ζ11000000000000−1+i3−1−i31−i31+i3001-1−1+i321−i32−1−i321+i323−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000000000000000000000000000000000000000
χ976-6-30333−33-6600000-3300033−33000000000006-3-3-633033−330−333300000000000000000000000000000000000000000000000000000000000000
χ986-6-30333−33-6600000-3300033−3300000000000-36-33-63−33033330−3300000000000000000000000000000000000000000000000000000000000000
χ996-6-30333−33-6600000-3300033−3300000000000-3-3633-633−330−3333000000000000000000000000000000000000000000000000000000000000000
χ1006-6-303−3333-6600000-33000−3333000000000006-3-3-6330−3333033−3300000000000000000000000000000000000000000000000000000000000000
χ1016-6-303−3333-6600000-33000−333300000000000-36-33-63330−33−3303300000000000000000000000000000000000000000000000000000000000000
χ1026-6-303−3333-6600000-33000−333300000000000-3-3633-6−3333033−33000000000000000000000000000000000000000000000000000000000000000
χ1031818-918-9-9-9-6-60000-633000330000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1041818-9-18-999-6-60000633000-3-30000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10518-18-90993−936-6000003-3000−33330000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10618-18-909−93936-6000003-300033−330000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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