Finite Group Databasebeta

← Group #72258865

Character table — Group #72258865

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1346612161616161346612161616161346612161616161346612161616162681212243232323226812122432323232268121224323232322681212243232323226812122432323232268121224323232324121624244864646464412162424486464646441216242448646464644121624244864646464
order12244433662224446666222444666622244466664444441212121244444412121212444444121212124444441212121244444412121212444444121212122224446666444444121212124444441212121244444412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32
χ3111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32
χ411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1
χ511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32
χ611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32
χ7333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000
χ833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000
χ96-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000
χ106-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ12111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32
χ13111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32
χ1411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111
χ1511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32
χ1611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32
χ17333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-31110000
χ1833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-10000
χ196-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000
χ206-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32
χ23111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32
χ2411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111
χ2511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32
χ2611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32
χ27333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000
χ2833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000
χ296-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000
χ306-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32
χ33111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32
χ3411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-111-111-111-1-1
χ3511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32
χ3611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32
χ37333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-31110000333-1-1-10000333-1-1-10000
χ3833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-1000033-3-1-11000033-3-1-110000
χ396-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000-620−2i2i000006-202i−2i000006-202i−2i00000
χ406-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ42111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32
χ43111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32
χ4411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-111
χ4511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32
χ4611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32
χ47333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000
χ4833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-10000
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χ506-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i000006-20−2i2i00000-6202i−2i000006-20−2i2i00000-6202i−2i00000
χ511111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111
χ52111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32
χ53111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32
χ5411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1
χ5511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i32
χ5611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i32
χ57333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000
χ5833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000
χ596-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000-620−2i2i000006-202i−2i00000-620−2i2i000006-202i−2i00000
χ606-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000-6202i−2i000006-20−2i2i00000-6202i−2i000006-20−2i2i00000
χ611111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ62111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32
χ63111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32
χ6411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-1
χ6511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i32
χ6611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i32
χ67333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-31110000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000333-1-1-10000
χ6833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-1000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-1000033-3-1-110000
χ696-202i−2i000006-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i00000-620−2i2i00000-620−2i2i000006-202i−2i000006-202i−2i000006-202i−2i00000-620−2i2i00000-620−2i2i000006-202i−2i00000
χ706-20−2i2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i00000-6202i−2i00000-6202i−2i000006-20−2i2i000006-20−2i2i000006-20−2i2i00000-6202i−2i00000-6202i−2i000006-20−2i2i00000
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ72111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32
χ73111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32111111−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32
χ7411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-111
χ7511-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32
χ7611-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i3211-111-1−1+i32−1−i321−i321+i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32
χ77333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000-3-3-31110000-3-3-31110000-3-3-31110000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000
χ7833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000-3-3311-10000-3-3311-10000-3-3311-10000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-10000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.