Finite Group Databasebeta

← Group #72341256

Character table — Group #72341256

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616134661216161616
order122224336644444412121212222224666644444412121212222224666644444412121212222224666644444412121212222224666644444412121212222224666644444412121212222224666644444412121212222224666644444412121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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−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+i32111111−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32
χ411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1
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+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−i3211-111-1−1−i32−1+i321+i321−i3211-111-1−1−i32−1+i321+i321−i32
χ7333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000333-1-1-10000
χ833-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-11000033-3-1-110000
χ96-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-2000006-202-200000
χ106-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-22000006-20-2200000
χ111111111111iiiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i1111111111iiiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i1111111111iiiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i1111111111iiiiiiiiii-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i
χ12111111−1+i32−1−i32−1+i32−1−i32iiiiiiζ7ζ11ζ7ζ11-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11111111−1+i32−1−i32−1+i32−1−i32iiiiiiζ7ζ11ζ7ζ11-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11111111−1+i32−1−i32−1+i32−1−i32iiiiiiζ7ζ11ζ7ζ11-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11111111−1+i32−1−i32−1+i32−1−i32iiiiiiζ7ζ11ζ7ζ11-1-1-1-1-1-11−i321+i321−i321+i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11
χ13111111−1−i32−1+i32−1−i32−1+i32iiiiiiζ11ζ7ζ11ζ7-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7111111−1−i32−1+i32−1−i32−1+i32iiiiiiζ11ζ7ζ11ζ7-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7111111−1−i32−1+i32−1−i32−1+i32iiiiiiζ11ζ7ζ11ζ7-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7111111−1−i32−1+i32−1−i32−1+i32iiiiiiζ11ζ7ζ11ζ7-1-1-1-1-1-11+i321−i321+i321−i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7
χ1411-111-111-1-1ii−iii−iii−i−i-1-11-1-11-1-111−i−ii−i−ii−i−iii11-111-111-1-1ii−iii−iii−i−i-1-11-1-11-1-111−i−ii−i−ii−i−iii11-111-111-1-1ii−iii−iii−i−i-1-11-1-11-1-111−i−ii−i−ii−i−iii11-111-111-1-1ii−iii−iii−i−i-1-11-1-11-1-111−i−ii−i−ii−i−iii
χ1511-111-1−1+i32−1−i321−i321+i32ii−iii−iζ7ζ11−ζ7−ζ11-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−ii−ζ7−ζ11ζ7ζ1111-111-1−1+i32−1−i321−i321+i32ii−iii−iζ7ζ11−ζ7−ζ11-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−ii−ζ7−ζ11ζ7ζ1111-111-1−1+i32−1−i321−i321+i32ii−iii−iζ7ζ11−ζ7−ζ11-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−ii−ζ7−ζ11ζ7ζ1111-111-1−1+i32−1−i321−i321+i32ii−iii−iζ7ζ11−ζ7−ζ11-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−ii−ζ7−ζ11ζ7ζ11
χ1611-111-1−1−i32−1+i321+i321−i32ii−iii−iζ11ζ7−ζ11−ζ7-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−ii−ζ11−ζ7ζ11ζ711-111-1−1−i32−1+i321+i321−i32ii−iii−iζ11ζ7−ζ11−ζ7-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−ii−ζ11−ζ7ζ11ζ711-111-1−1−i32−1+i321+i321−i32ii−iii−iζ11ζ7−ζ11−ζ7-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−ii−ζ11−ζ7ζ11ζ711-111-1−1−i32−1+i321+i321−i32ii−iii−iζ11ζ7−ζ11−ζ7-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−ii−ζ11−ζ7ζ11ζ7
χ17333-1-1-100003i3i3i−i−i−i0000-3-3-31110000−3i−3i−3iiii0000333-1-1-100003i3i3i−i−i−i0000-3-3-31110000−3i−3i−3iiii0000333-1-1-100003i3i3i−i−i−i0000-3-3-31110000−3i−3i−3iiii0000333-1-1-100003i3i3i−i−i−i0000-3-3-31110000−3i−3i−3iiii0000
χ1833-3-1-1100003i3i−3i−i−ii0000-3-3311-10000−3i−3i3iii−i000033-3-1-1100003i3i−3i−i−ii0000-3-3311-10000−3i−3i3iii−i000033-3-1-1100003i3i−3i−i−ii0000-3-3311-10000−3i−3i3iii−i000033-3-1-1100003i3i−3i−i−ii0000-3-3311-10000−3i−3i3iii−i0000
χ196-202-2000006i−2i02i−2i00000-620-2200000−6i2i0−2i2i000006-202-2000006i−2i02i−2i00000-620-2200000−6i2i0−2i2i000006-202-2000006i−2i02i−2i00000-620-2200000−6i2i0−2i2i000006-202-2000006i−2i02i−2i00000-620-2200000−6i2i0−2i2i00000
χ206-20-22000006i−2i0−2i2i00000-6202-200000−6i2i02i−2i000006-20-22000006i−2i0−2i2i00000-6202-200000−6i2i02i−2i000006-20-22000006i−2i0−2i2i00000-6202-200000−6i2i02i−2i000006-20-22000006i−2i0−2i2i00000-6202-200000−6i2i02i−2i00000
χ211111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ22111111−1+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+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+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+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
χ23111111−1−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−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−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−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
χ2411-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-111
χ2511-111-1−1+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−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−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−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
χ2611-111-1−1−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+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+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+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
χ27333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000
χ2833-3-1-110000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-10000
χ296-202-200000-620-22000006-202-200000-620-22000006-202-200000-620-22000006-202-200000-620-22000006-202-200000-620-22000006-202-200000-620-22000006-202-200000-620-22000006-202-200000-620-2200000
χ306-20-2200000-6202-2000006-20-2200000-6202-2000006-20-2200000-6202-2000006-20-2200000-6202-2000006-20-2200000-6202-2000006-20-2200000-6202-2000006-20-2200000-6202-2000006-20-2200000-6202-200000
χ311111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii1111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii1111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii1111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii
χ32111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiζ7ζ11ζ7ζ11111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiζ7ζ11ζ7ζ11111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiζ7ζ11ζ7ζ11111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiζ7ζ11ζ7ζ11
χ33111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiζ11ζ7ζ11ζ7111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiζ11ζ7ζ11ζ7111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiζ11ζ7ζ11ζ7111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiζ11ζ7ζ11ζ7
χ3411-111-111-1-1−i−ii−i−ii−i−iii-1-11-1-11-1-111ii−iii−iii−i−i11-111-111-1-1−i−ii−i−ii−i−iii-1-11-1-11-1-111ii−iii−iii−i−i11-111-111-1-1−i−ii−i−ii−i−iii-1-11-1-11-1-111ii−iii−iii−i−i11-111-111-1-1−i−ii−i−ii−i−iii-1-11-1-11-1-111ii−iii−iii−i−i
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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+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−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
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−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+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
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χ611111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111
χ62111111−1+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+i32-1-1-1-1-1-11−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−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+i32-1-1-1-1-1-11−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
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χ103111111−1−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−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−i32-1-1-1-1-1-11+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−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
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χ1211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111
χ122111111−1+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+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−i32111111−1+i32−1−i32−1+i32−1−i32
χ123111111−1−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−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+i32111111−1−i32−1+i32−1−i32−1+i32
χ12411-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-111-111-111-1-111-111-111-1-111-111-111-1-1
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χ12611-111-1−1−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+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−i3211-111-1−1−i32−1+i321+i321−i32
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χ13411-111-111-1-1ii−iii−iii−i−i-1-11-1-11-1-111−i−ii−i−ii−i−iii-1-11-1-11-1-111−i−ii−i−ii−i−iii11-111-111-1-1ii−iii−iii−i−i-1-11-1-11-1-111−i−ii−i−ii−i−iii11-111-111-1-1ii−iii−iii−i−i11-111-111-1-1ii−iii−iii−i−i-1-11-1-11-1-111−i−ii−i−ii−i−iii
χ13511-111-1−1+i32−1−i321−i321+i32ii−iii−iζ7ζ11−ζ7−ζ11-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−ii−ζ7−ζ11ζ7ζ11-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−ii−ζ7−ζ11ζ7ζ1111-111-1−1+i32−1−i321−i321+i32ii−iii−iζ7ζ11−ζ7−ζ11-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−ii−ζ7−ζ11ζ7ζ1111-111-1−1+i32−1−i321−i321+i32ii−iii−iζ7ζ11−ζ7−ζ1111-111-1−1+i32−1−i321−i321+i32ii−iii−iζ7ζ11−ζ7−ζ11-1-11-1-111−i321+i32−1+i32−1−i32−i−ii−i−ii−ζ7−ζ11ζ7ζ11
χ13611-111-1−1−i32−1+i321+i321−i32ii−iii−iζ11ζ7−ζ11−ζ7-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−ii−ζ11−ζ7ζ11ζ7-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−ii−ζ11−ζ7ζ11ζ711-111-1−1−i32−1+i321+i321−i32ii−iii−iζ11ζ7−ζ11−ζ7-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−ii−ζ11−ζ7ζ11ζ711-111-1−1−i32−1+i321+i321−i32ii−iii−iζ11ζ7−ζ11−ζ711-111-1−1−i32−1+i321+i321−i32ii−iii−iζ11ζ7−ζ11−ζ7-1-11-1-111+i321−i32−1−i32−1+i32−i−ii−i−ii−ζ11−ζ7ζ11ζ7
χ137333-1-1-100003i3i3i−i−i−i0000-3-3-31110000−3i−3i−3iiii0000-3-3-31110000−3i−3i−3iiii0000333-1-1-100003i3i3i−i−i−i0000-3-3-31110000−3i−3i−3iiii0000333-1-1-100003i3i3i−i−i−i0000333-1-1-100003i3i3i−i−i−i0000-3-3-31110000−3i−3i−3iiii0000
χ13833-3-1-1100003i3i−3i−i−ii0000-3-3311-10000−3i−3i3iii−i0000-3-3311-10000−3i−3i3iii−i000033-3-1-1100003i3i−3i−i−ii0000-3-3311-10000−3i−3i3iii−i000033-3-1-1100003i3i−3i−i−ii000033-3-1-1100003i3i−3i−i−ii0000-3-3311-10000−3i−3i3iii−i0000
χ1396-202-2000006i−2i02i−2i00000-620-2200000−6i2i0−2i2i00000-620-2200000−6i2i0−2i2i000006-202-2000006i−2i02i−2i00000-620-2200000−6i2i0−2i2i000006-202-2000006i−2i02i−2i000006-202-2000006i−2i02i−2i00000-620-2200000−6i2i0−2i2i00000
χ1406-20-22000006i−2i0−2i2i00000-6202-200000−6i2i02i−2i00000-6202-200000−6i2i02i−2i000006-20-22000006i−2i0−2i2i00000-6202-200000−6i2i02i−2i000006-20-22000006i−2i0−2i2i000006-20-22000006i−2i0−2i2i00000-6202-200000−6i2i02i−2i00000
χ1411111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ142111111−1+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+i32-1-1-1-1-1-11−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+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+i32111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i32
χ143111111−1−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−i32-1-1-1-1-1-11+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−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−i32111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i32
χ14411-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-111-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-11111-111-111-1-111-111-111-1-1-1-11-1-11-1-11111-111-111-1-1-1-11-1-11-1-111
χ14511-111-1−1+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−i32-1-11-1-111−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−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−i3211-111-1−1+i32−1−i321−i321+i32-1-11-1-111−i321+i32−1+i32−1−i32
χ14611-111-1−1−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+i32-1-11-1-111+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+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+i3211-111-1−1−i32−1+i321+i321−i32-1-11-1-111+i321−i32−1−i32−1+i32
χ147333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000333-1-1-10000333-1-1-10000-3-3-31110000333-1-1-10000-3-3-31110000
χ14833-3-1-110000-3-3311-1000033-3-1-110000-3-3311-10000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-1000033-3-1-11000033-3-1-110000-3-3311-1000033-3-1-110000-3-3311-10000
χ1496-202-200000-620-22000006-202-200000-620-2200000-620-22000006-202-200000-620-22000006-202-200000-620-22000006-202-200000-620-22000006-202-2000006-202-200000-620-22000006-202-200000-620-2200000
χ1506-20-2200000-6202-2000006-20-2200000-6202-200000-6202-2000006-20-2200000-6202-2000006-20-2200000-6202-2000006-20-2200000-6202-2000006-20-22000006-20-2200000-6202-2000006-20-2200000-6202-200000
χ1511111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii-1-1-1-1-1-1-1-1-1-1iiiiiiiiii1111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii1111111111−i−i−i−i−i−i−i−i−i−i1111111111−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1iiiiiiiiii
χ152111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiζ7ζ11ζ7ζ11-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiζ7ζ11ζ7ζ11111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiζ7ζ11ζ7ζ11111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11111111−1+i32−1−i32−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11−ζ7−ζ11-1-1-1-1-1-11−i321+i321−i321+i32iiiiiiζ7ζ11ζ7ζ11
χ153111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiζ11ζ7ζ11ζ7-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiζ11ζ7ζ11ζ7111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiζ11ζ7ζ11ζ7111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7111111−1−i32−1+i32−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7−ζ11−ζ7-1-1-1-1-1-11+i321−i321+i321−i32iiiiiiζ11ζ7ζ11ζ7
χ15411-111-111-1-1−i−ii−i−ii−i−iii-1-11-1-11-1-111ii−iii−iii−i−i-1-11-1-11-1-111ii−iii−iii−i−i11-111-111-1-1−i−ii−i−ii−i−iii-1-11-1-11-1-111ii−iii−iii−i−i11-111-111-1-1−i−ii−i−ii−i−iii11-111-111-1-1−i−ii−i−ii−i−iii-1-11-1-11-1-111ii−iii−iii−i−i
χ15511-111-1−1+i32−1−i321−i321+i32−i−ii−i−ii−ζ7−ζ11ζ7ζ11-1-11-1-111−i321+i32−1+i32−1−i32ii−iii−iζ7ζ11−ζ7−ζ11-1-11-1-111−i321+i32−1+i32−1−i32ii−iii−iζ7ζ11−ζ7−ζ1111-111-1−1+i32−1−i321−i321+i32−i−ii−i−ii−ζ7−ζ11ζ7ζ11-1-11-1-111−i321+i32−1+i32−1−i32ii−iii−iζ7ζ11−ζ7−ζ1111-111-1−1+i32−1−i321−i321+i32−i−ii−i−ii−ζ7−ζ11ζ7ζ1111-111-1−1+i32−1−i321−i321+i32−i−ii−i−ii−ζ7−ζ11ζ7ζ11-1-11-1-111−i321+i32−1+i32−1−i32ii−iii−iζ7ζ11−ζ7−ζ11
χ15611-111-1−1−i32−1+i321+i321−i32−i−ii−i−ii−ζ11−ζ7ζ11ζ7-1-11-1-111+i321−i32−1−i32−1+i32ii−iii−iζ11ζ7−ζ11−ζ7-1-11-1-111+i321−i32−1−i32−1+i32ii−iii−iζ11ζ7−ζ11−ζ711-111-1−1−i32−1+i321+i321−i32−i−ii−i−ii−ζ11−ζ7ζ11ζ7-1-11-1-111+i321−i32−1−i32−1+i32ii−iii−iζ11ζ7−ζ11−ζ711-111-1−1−i32−1+i321+i321−i32−i−ii−i−ii−ζ11−ζ7ζ11ζ711-111-1−1−i32−1+i321+i321−i32−i−ii−i−ii−ζ11−ζ7ζ11ζ7-1-11-1-111+i321−i32−1−i32−1+i32ii−iii−iζ11ζ7−ζ11−ζ7
χ157333-1-1-10000−3i−3i−3iiii0000-3-3-311100003i3i3i−i−i−i0000-3-3-311100003i3i3i−i−i−i0000333-1-1-10000−3i−3i−3iiii0000-3-3-311100003i3i3i−i−i−i0000333-1-1-10000−3i−3i−3iiii0000333-1-1-10000−3i−3i−3iiii0000-3-3-311100003i3i3i−i−i−i0000
χ15833-3-1-110000−3i−3i3iii−i0000-3-3311-100003i3i−3i−i−ii0000-3-3311-100003i3i−3i−i−ii000033-3-1-110000−3i−3i3iii−i0000-3-3311-100003i3i−3i−i−ii000033-3-1-110000−3i−3i3iii−i000033-3-1-110000−3i−3i3iii−i0000-3-3311-100003i3i−3i−i−ii0000
χ1596-202-200000−6i2i0−2i2i00000-620-22000006i−2i02i−2i00000-620-22000006i−2i02i−2i000006-202-200000−6i2i0−2i2i00000-620-22000006i−2i02i−2i000006-202-200000−6i2i0−2i2i000006-202-200000−6i2i0−2i2i00000-620-22000006i−2i02i−2i00000
χ1606-20-2200000−6i2i02i−2i00000-6202-2000006i−2i0−2i2i00000-6202-2000006i−2i0−2i2i000006-20-2200000−6i2i02i−2i00000-6202-2000006i−2i0−2i2i000006-20-2200000−6i2i02i−2i000006-20-2200000−6i2i02i−2i00000-6202-2000006i−2i0−2i2i00000

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