Finite Group Databasebeta

← Group #11796086

Character table — Group #11796086

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222444444444444444444444444121212121212121212121212121212121212121212121212181818181818181811111111222222222222222222224444444444444444444444441212121212121212121212121212121212121212121212121818181818181818
order1244888823346688121212122424242424242424366666121212121212242424242424242424242424246688121216161616242424244848484848484848161616161616161622448888266466881212121224242424242424246666661212121212122424242424242424242424242466881212161616162424242448484848484848481616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i1111iiii−i−i−i−i−i−i−i−iiiii
χ81111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii1111−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i1-1-1-1-111111-1-1i−ii−iiiii−i−i−i−i1-111i−i-1-1ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i1-1-1-1-111111-1-1i−ii−iiiii−i−i−i−i1-111i−i-1-1ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ1011-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i1-1-1-1-111111-1-1i−ii−iiiii−i−i−i−i1-111i−i-1-1−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i1-1-1-1-111111-1-1i−ii−iiiii−i−i−i−i1-111i−i-1-1−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ1111-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i1-1-1-1-111111-1-1i−ii−iiiii−i−i−i−i-11-1-1−ii11ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i1-1-1-1-111111-1-1i−ii−iiiii−i−i−i−i-11-1-1−ii11ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−i−iiiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26
χ1211-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i1-1-1-1-111111-1-1i−ii−iiiii−i−i−i−i-11-1-1−ii11−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-1ii−i−i-111111i−i-1-1-1-1ii−i−iii−i−i1-1-1-1-111111-1-1i−ii−iiiii−i−i−i−i-11-1-1−ii11−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26−i−iii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26
χ1311-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii1-1-1-1-111111-1-1−ii−ii−i−i−i−iiiii1-111−ii-1-1−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii1-1-1-1-111111-1-1−ii−ii−i−i−i−iiiii1-111−ii-1-1−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ1411-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii1-1-1-1-111111-1-1−ii−ii−i−i−i−iiiii1-111−ii-1-1ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii1-1-1-1-111111-1-1−ii−ii−i−i−i−iiiii1-111−ii-1-1ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ1511-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii1-1-1-1-111111-1-1−ii−ii−i−i−i−iiiii-11-1-1i−i11−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ii−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii1-1-1-1-111111-1-1−ii−ii−i−i−i−iiiii-11-1-1i−i11−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ii−i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46
χ1611-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii1-1-1-1-111111-1-1−ii−ii−i−i−i−iiiii-11-1-1i−i11ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-1−i−iii-111111−ii-1-1-1-1−i−iii−i−iii1-1-1-1-111111-1-1−ii−ii−i−i−i−iiiii-11-1-1i−i11ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46ii−i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46
χ172222222222-122-12222-1-1-1-1-1-12222-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-10000-1-1-1-100000000000000002222222222-122-12222-1-1-1-1-1-12222-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-10000-1-1-1-10000000000000000
χ182222222222-122-12222-1-1-1-1-1-12222-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-2110000111100000000000000002222222222-122-12222-1-1-1-1-1-12222-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-211000011110000000000000000
χ19222222222-122-1222-1-1222222-1-1-1-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100000000222222222-122-1222-1-1222222-1-1-1-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100000000
χ20222222222-122-1222-1-1222222-1-1-1-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100000000222222222-122-1222-1-1222222-1-1-1-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-200001111111100000000
χ2122222222-222-222-2-22222222222222-2-2-2-22-2-2-2-222-2-2-2-222-2-222-2-20000000000000000000000000000000022222222-222-222-2-22222222222222-2-2-2-22-2-2-2-222-2-2-2-222-2-222-2-200000000000000000000000000000000
χ2222222222-22-1-22-1-2-222-1-1-1-1-1-12222-1-2111-1-2111-1-1-2-211-1-111-1-11100−i3i300−i3i30000−i3i3−i3i3000000000000000022222222-22-1-22-1-2-222-1-1-1-1-1-12222-1-2111-1-2111-1-1-2-211-1-111-1-11100−i3i300−i3i30000−i3i3−i3i30000000000000000
χ2322222222-22-1-22-1-2-222-1-1-1-1-1-12222-1-2111-1-2111-1-1-2-211-1-111-1-11100i3−i300i3−i30000i3−i3i3−i3000000000000000022222222-22-1-22-1-2-222-1-1-1-1-1-12222-1-2111-1-2111-1-1-2-211-1-111-1-11100i3−i300i3−i30000i3−i3i3−i30000000000000000
χ2422222222-2-12-2-12-2-2-1-1222222-1-1-1-1-11-211-11-211-1-111-2-2-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i30000000022222222-2-12-2-12-2-2-1-1222222-1-1-1-1-11-211-11-211-1-111-2-2-1-111-1-1110000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2522222222-2-12-2-12-2-2-1-1222222-1-1-1-1-11-211-11-211-1-111-2-2-1-111-1-1110000000000000000i3−i3i3−i3i3−i3i3−i30000000022222222-2-12-2-12-2-2-1-1222222-1-1-1-1-11-211-11-211-1-111-2-2-1-111-1-1110000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ262222-2-2-2-222-122-1-2-222-1-11111-2-2-2-2-12-1-1-1-12-1-1-1-1-1-2-2111111111122-1-1-2-2-1-10000111100000000000000002222-2-2-2-222-122-1-2-222-1-11111-2-2-2-2-12-1-1-1-12-1-1-1-1-1-2-2111111111122-1-1-2-2-1-1000011110000000000000000
χ272222-2-2-2-222-122-1-2-222-1-11111-2-2-2-2-12-1-1-1-12-1-1-1-1-1-2-21111111111-2-21122110000-1-1-1-100000000000000002222-2-2-2-222-122-1-2-222-1-11111-2-2-2-2-12-1-1-1-12-1-1-1-1-1-2-21111111111-2-21122110000-1-1-1-10000000000000000
χ282222-2-2-2-22-122-12-2-2-1-122-2-2-2-21111-1-12-1-1-1-12-1-1-1-111-2-211111111000000002i2i−2i−2i0000−i−i−i−iiiii000000002222-2-2-2-22-122-12-2-2-1-122-2-2-2-21111-1-12-1-1-1-12-1-1-1-111-2-211111111000000002i2i−2i−2i0000−i−i−i−iiiii00000000
χ292222-2-2-2-22-122-12-2-2-1-122-2-2-2-21111-1-12-1-1-1-12-1-1-1-111-2-21111111100000000−2i−2i2i2i0000iiii−i−i−i−i000000002222-2-2-2-22-122-12-2-2-1-122-2-2-2-21111-1-12-1-1-1-12-1-1-1-111-2-21111111100000000−2i−2i2i2i0000iiii−i−i−i−i00000000
χ302222-2-2-2-2-222-222222222-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-2222222-2-222-2-222000000000000000000000000000000002222-2-2-2-2-222-222222222-2-2-2-2-2-2-2-22-2-2-2-22-2-2-2-2222222-2-222-2-22200000000000000000000000000000000
χ312222-2-2-2-2-22-1-22-12222-1-11111-2-2-2-2-1-2111-1-2111-1-122-1-111-1-111-1-100−i3i300−i3i30000i3−i3i3−i300000000000000002222-2-2-2-2-22-1-22-12222-1-11111-2-2-2-2-1-2111-1-2111-1-122-1-111-1-111-1-100−i3i300−i3i30000i3−i3i3−i30000000000000000
χ322222-2-2-2-2-22-1-22-12222-1-11111-2-2-2-2-1-2111-1-2111-1-122-1-111-1-111-1-100i3−i300i3−i30000−i3i3−i3i300000000000000002222-2-2-2-2-22-1-22-12222-1-11111-2-2-2-2-1-2111-1-2111-1-122-1-111-1-111-1-100i3−i300i3−i30000−i3i3−i3i30000000000000000
χ332222-2-2-2-2-2-12-2-1222-1-122-2-2-2-21111-11-211-11-211-1-1-1-12211-1-111-1-100000000000000003−33−3−33−33000000002222-2-2-2-2-2-12-2-1222-1-122-2-2-2-21111-11-211-11-211-1-1-1-12211-1-111-1-100000000000000003−33−3−33−3300000000
χ342222-2-2-2-2-2-12-2-1222-1-122-2-2-2-21111-11-211-11-211-1-1-1-12211-1-111-1-10000000000000000−33−333−33−3000000002222-2-2-2-2-2-12-2-1222-1-122-2-2-2-21111-11-211-11-211-1-1-1-12211-1-111-1-10000000000000000−33−333−33−300000000
χ3522-2-22i2i−2i−2i222-222−2i2i-2-2-2-22i2i−2i−2i2i2i−2i−2i222222-2-2-2-2-2-2−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000022-2-22i2i−2i−2i222-222−2i2i-2-2-2-22i2i−2i−2i2i2i−2i−2i222222-2-2-2-2-2-2−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ3622-2-22i2i−2i−2i22-1-22-1−2i2i-2-211−i−iii2i2i−2i−2i-12-1-1-1-1-211111−2i2ii−i−i−iiiii−i−i00−i3i300i3−i300003−3−33000000000000000022-2-22i2i−2i−2i22-1-22-1−2i2i-2-211−i−iii2i2i−2i−2i-12-1-1-1-1-211111−2i2ii−i−i−iiiii−i−i00−i3i300i3−i300003−3−330000000000000000
χ3722-2-22i2i−2i−2i22-1-22-1−2i2i-2-211−i−iii2i2i−2i−2i-12-1-1-1-1-211111−2i2ii−i−i−iiiii−i−i00i3−i300−i3i30000−333−3000000000000000022-2-22i2i−2i−2i22-1-22-1−2i2i-2-211−i−iii2i2i−2i−2i-12-1-1-1-1-211111−2i2ii−i−i−iiiii−i−i00i3−i300−i3i30000−333−30000000000000000
χ3822-2-22i2i−2i−2i2-12-2-12−2i2i11-2-22i2i−2i−2i−i−iii-1-12-1-1-11-21111i−i−2i2i−i−iiiii−i−i0000000000000000−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ260000000022-2-22i2i−2i−2i2-12-2-12−2i2i11-2-22i2i−2i−2i−i−iii-1-12-1-1-11-21111i−i−2i2i−i−iiiii−i−i0000000000000000−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ2600000000
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χ1022222222222-122-12222-1-1-1-1-1-12222-12-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-211000011110000000000000000-2-2-2-2-2-2-2-2-2-21-2-21-2-2-2-2111111-2-2-2-21-21111-211111-2-2111111111122-1-122-1-10000-1-1-1-10000000000000000
χ103222222222-122-1222-1-1222222-1-1-1-1-1-12-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-21-2-21-2-2-211-2-2-2-2-2-2111111-21111-2111111-2-21111111100000000-2-2-2-200001111111100000000
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χ10522222222-222-222-2-22222222222222-2-2-2-22-2-2-2-222-2-2-2-222-2-222-2-200000000000000000000000000000000-2-2-2-2-2-2-2-22-2-22-2-222-2-2-2-2-2-2-2-2-2-2-2-2-22222-22222-2-22222-2-222-2-22200000000000000000000000000000000
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χ1112222-2-2-2-222-122-1-2-222-1-11111-2-2-2-2-12-1-1-1-12-1-1-1-1-1-2-21111111111-2-21122110000-1-1-1-10000000000000000-2-2-2-22222-2-21-2-2122-2-211-1-1-1-122221-21111-21111122-1-1-1-1-1-1-1-1-1-122-1-1-2-2-1-1000011110000000000000000
χ1122222-2-2-2-22-122-12-2-2-1-122-2-2-2-21111-1-12-1-1-1-12-1-1-1-111-2-211111111000000002i2i−2i−2i0000−i−i−i−iiiii00000000-2-2-2-22222-21-2-21-22211-2-22222-1-1-1-111-21111-21111-1-122-1-1-1-1-1-1-1-100000000−2i−2i2i2i0000iiii−i−i−i−i00000000
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χ12622-2-22i2i−2i−2i-2-122-122i−2i11-2-22i2i−2i−2i−i−iii-11-211-1-12-1-111−ii2i−2i−i−i−i−iiiii000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260000−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2600000000-2-222−2i−2i2i2i21-2-21-2−2i2i-1-122−2i−2i2i2iii−i−i1-12-1-111-211-1-1i−i−2i2iiiii−i−i−i−i00000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260000ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2600000000
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χ1544-44i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260-2402-400−2i2i4i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26-2000020000−2i2i0000−2ζ14−2ζ462ζ14+2ζ46002ζ10+2ζ26−2ζ10−2ζ260000000000000000000000000000000000-44−4i4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ2602-40-24002i−2i−4i4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2620000-200002i−2i00002ζ14+2ζ46−2ζ14−2ζ4600−2ζ10−2ζ262ζ10+2ζ260000000000000000000000000000000000
χ1554-44i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260-2-202200−2i2i−2i2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ261003-3-1003i−3ii−i0000ζ14+ζ46−ζ14−ζ46−3ζ10−3ζ263ζ10+3ζ26−ζ10−ζ26ζ10+ζ263ζ14+3ζ46−3ζ14−3ζ4600000000000000000000000000000000-44−4i4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260220-2-2002i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26-100-33100−3i3i−ii0000−ζ14−ζ46ζ14+ζ463ζ10+3ζ26−3ζ10−3ζ26ζ10+ζ26−ζ10−ζ26−3ζ14−3ζ463ζ14+3ζ4600000000000000000000000000000000
χ1564-44i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260-2-202200−2i2i−2i2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26100-33-100−3i3ii−i0000ζ14+ζ46−ζ14−ζ463ζ10+3ζ26−3ζ10−3ζ26−ζ10−ζ26ζ10+ζ26−3ζ14−3ζ463ζ14+3ζ4600000000000000000000000000000000-44−4i4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260220-2-2002i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26-1003-31003i−3i−ii0000−ζ14−ζ46ζ14+ζ46−3ζ10−3ζ263ζ10+3ζ26ζ10+ζ26−ζ10−ζ263ζ14+3ζ46−3ζ14−3ζ4600000000000000000000000000000000
χ1574-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ2604-20-42004i−4i−2i2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ26-2000020000−2i2i00002ζ14+2ζ46−2ζ14−2ζ4600−2ζ10−2ζ262ζ10+2ζ260000000000000000000000000000000000-44−4i4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260-4204-200−4i4i2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ264ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ2620000-200002i−2i0000−2ζ14−2ζ462ζ14+2ζ46002ζ10+2ζ26−2ζ10−2ζ260000000000000000000000000000000000
χ1584-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260-2402-400−2i2i4i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26-2000020000−2i2i00002ζ14+2ζ46−2ζ14−2ζ4600−2ζ10−2ζ262ζ10+2ζ260000000000000000000000000000000000-44−4i4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ2602-40-24002i−2i−4i4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2620000-200002i−2i0000−2ζ14−2ζ462ζ14+2ζ46002ζ10+2ζ26−2ζ10−2ζ260000000000000000000000000000000000
χ1594-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260-2-202200−2i2i−2i2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ261003-3-1003i−3ii−i0000−ζ14−ζ46ζ14+ζ463ζ10+3ζ26−3ζ10−3ζ26ζ10+ζ26−ζ10−ζ26−3ζ14−3ζ463ζ14+3ζ4600000000000000000000000000000000-44−4i4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260220-2-2002i−2i2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26-100-33100−3i3i−ii0000ζ14+ζ46−ζ14−ζ46−3ζ10−3ζ263ζ10+3ζ26−ζ10−ζ26ζ10+ζ263ζ14+3ζ46−3ζ14−3ζ4600000000000000000000000000000000
χ1604-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260-2-202200−2i2i−2i2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26100-33-100−3i3ii−i0000−ζ14−ζ46ζ14+ζ46−3ζ10−3ζ263ζ10+3ζ26ζ10+ζ26−ζ10−ζ263ζ14+3ζ46−3ζ14−3ζ4600000000000000000000000000000000-44−4i4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260220-2-2002i−2i2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26-1003-31003i−3i−ii0000ζ14+ζ46−ζ14−ζ463ζ10+3ζ26−3ζ10−3ζ26−ζ10−ζ26ζ10+ζ26−3ζ14−3ζ463ζ14+3ζ4600000000000000000000000000000000
χ1614-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ4604-20-4200−4i4i2i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46-20000200002i−2i00002ζ10+2ζ26−2ζ10−2ζ2600−2ζ14−2ζ462ζ14+2ζ460000000000000000000000000000000000-444i−4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-4204-2004i−4i−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ464ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ4620000-20000−2i2i0000−2ζ10−2ζ262ζ10+2ζ26002ζ14+2ζ46−2ζ14−2ζ460000000000000000000000000000000000
χ1624-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-2402-4002i−2i−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46-20000200002i−2i00002ζ10+2ζ26−2ζ10−2ζ2600−2ζ14−2ζ462ζ14+2ζ460000000000000000000000000000000000-444i−4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ4602-40-2400−2i2i4i−4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4620000-20000−2i2i0000−2ζ10−2ζ262ζ10+2ζ26002ζ14+2ζ46−2ζ14−2ζ460000000000000000000000000000000000
χ1634-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-2-2022002i−2i2i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ461003-3-100−3i3i−ii0000−ζ10−ζ26ζ10+ζ263ζ14+3ζ46−3ζ14−3ζ46ζ14+ζ46−ζ14−ζ46−3ζ10−3ζ263ζ10+3ζ2600000000000000000000000000000000-444i−4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460220-2-200−2i2i−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46-100-331003i−3ii−i0000ζ10+ζ26−ζ10−ζ26−3ζ14−3ζ463ζ14+3ζ46−ζ14−ζ46ζ14+ζ463ζ10+3ζ26−3ζ10−3ζ2600000000000000000000000000000000
χ1644-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-2-2022002i−2i2i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46100-33-1003i−3i−ii0000−ζ10−ζ26ζ10+ζ26−3ζ14−3ζ463ζ14+3ζ46ζ14+ζ46−ζ14−ζ463ζ10+3ζ26−3ζ10−3ζ2600000000000000000000000000000000-444i−4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460220-2-200−2i2i−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46-1003-3100−3i3ii−i0000ζ10+ζ26−ζ10−ζ263ζ14+3ζ46−3ζ14−3ζ46−ζ14−ζ46ζ14+ζ46−3ζ10−3ζ263ζ10+3ζ2600000000000000000000000000000000
χ1654-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ4604-20-4200−4i4i2i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ464ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-20000200002i−2i0000−2ζ10−2ζ262ζ10+2ζ26002ζ14+2ζ46−2ζ14−2ζ460000000000000000000000000000000000-444i−4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-4204-2004i−4i−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ4620000-20000−2i2i00002ζ10+2ζ26−2ζ10−2ζ2600−2ζ14−2ζ462ζ14+2ζ460000000000000000000000000000000000
χ1664-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-2402-4002i−2i−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46-20000200002i−2i0000−2ζ10−2ζ262ζ10+2ζ26002ζ14+2ζ46−2ζ14−2ζ460000000000000000000000000000000000-444i−4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ4602-40-2400−2i2i4i−4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4620000-20000−2i2i00002ζ10+2ζ26−2ζ10−2ζ2600−2ζ14−2ζ462ζ14+2ζ460000000000000000000000000000000000
χ1674-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-2-2022002i−2i2i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ461003-3-100−3i3i−ii0000ζ10+ζ26−ζ10−ζ26−3ζ14−3ζ463ζ14+3ζ46−ζ14−ζ46ζ14+ζ463ζ10+3ζ26−3ζ10−3ζ2600000000000000000000000000000000-444i−4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460220-2-200−2i2i−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46-100-331003i−3ii−i0000−ζ10−ζ26ζ10+ζ263ζ14+3ζ46−3ζ14−3ζ46ζ14+ζ46−ζ14−ζ46−3ζ10−3ζ263ζ10+3ζ2600000000000000000000000000000000
χ1684-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-2-2022002i−2i2i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46100-33-1003i−3i−ii0000ζ10+ζ26−ζ10−ζ263ζ14+3ζ46−3ζ14−3ζ46−ζ14−ζ46ζ14+ζ46−3ζ10−3ζ263ζ10+3ζ2600000000000000000000000000000000-444i−4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460220-2-200−2i2i−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46-1003-3100−3i3ii−i0000−ζ10−ζ26ζ10+ζ26−3ζ14−3ζ463ζ14+3ζ46ζ14+ζ46−ζ14−ζ463ζ10+3ζ26−3ζ10−3ζ2600000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.