Finite Group Databasebeta

← Group #13161173

Character table — Group #13161173

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222444444444444444444444444444444444444444444446666666666666666666688888888888888888888888888121212121212121212121212121212121212121212121212121236363636363636367272108108108108
order12223333344666666666666666333344666666666666121212121212121212121212121212121212121212121212121244441212121212121212121212121212121212121212121212121212121212121212121212121212121212124412121212121212121212121212121212121212121212121244882424242412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ7111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-111-1-1
χ91-11-1111111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-11-1i−ii−i
χ101-11-1111111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11i−ii−iiiiiiiii−i−i−i−i−i−i−i−i1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111-11−ii−ii
χ111-11-1111111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−ii−ii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-11-1−ii−ii
χ121-11-1111111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11−ii−ii−i−i−i−i−i−i−i−iiiiiiiii1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111-11i−ii−i
χ131-11-1111111-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11i−ii−iiiiiiiii−i−i−i−i−i−i−i−i-111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-11-1-1111-1i−i−ii
χ141-11-1111111-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11i−ii−iiiiiiiii−i−i−i−i−i−i−i−i-111111-1-1-1-1-1-1-1-1-1-1-1-111111111−iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-111-1-1-11−iii−i
χ151-11-1111111-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11−ii−ii−i−i−i−i−i−i−i−iiiiiiiii-111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-11-1-1111-1−iii−i
χ161-11-1111111-1-1-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11−ii−ii−i−i−i−i−i−i−i−iiiiiiiii-111111-1-1-1-1-1-1-1-1-1-1-1-111111111i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-111-1-1-11i−i−ii
χ17222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-20000000000000000-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2-2-2-2-2-2-200000000000000000022222222000000000000000000000000000000
χ18222222222-2-2222222222222222222200222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222222222222222222200-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000
χ1922222222-122-1-1222222222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-100000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000002222-1-1-1-1-1-10000
χ2022222222-122-1-1222222222222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-100000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-2-2-21111110000
χ2122222222-122-1-1222222222222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-10000000000000000000011-1-1-1-1-1-1-1-111111111111111110000000000000000000000000022-2-21111-1-10000
χ2222222222-122-1-1222222222222-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-10000000000000000000011-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000-2-222-1-1-1-1110000
χ2322222-1-1-1222222-1-1-12-1-1-12-1-1-122-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ2422222-1-1-1222222-1-1-12-1-1-12-1-1-122-1-1-12222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2111111-2-2111111222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2111-2111-2-2111111-2-211111100000000000000
χ2522222-1-1-1222222-1-1-12-1-1-12-1-1-122-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111122222222-1-1-1-1-1-122-1-1-1-1-1-1-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-22-1-1-12-1-1-1-2-2111111-2-211111100000000000000
χ2622222-1-1-1222222-1-1-12-1-1-12-1-1-122-1-1-1-2-222-1-1-1-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111122-2-2-2-2-2-2111111-2-2111111-2-22-1-1-12-1-1-1-2-2111111-2-211111122-2111-211122-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ2722222-1-1-12-2-2222-1-1-12-1-1-12-1-1-122-1-1-10022-1-1-1-1-1-12-1-1-1-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2-222-2-2-2-2111111-2-211111100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3002-1-1-12-1-1-100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000
χ2822222-1-1-12-2-2222-1-1-12-1-1-12-1-1-122-1-1-10022-1-1-1-1-1-12-1-1-1-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000
χ2922222-1-1-12-2-2222-1-1-12-1-1-12-1-1-122-1-1-10022-1-1-1-1-1-12-1-1-1-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2-222-2-2-2-2111111-2-211111100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3002-1-1-12-1-1-100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000000000
χ3022222-1-1-12-2-2222-1-1-12-1-1-12-1-1-122-1-1-10022-1-1-1-1-1-12-1-1-1-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3-2-2-2-22222-1-1-1-1-1-122-1-1-1-1-1-100-2111-211100i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300-2111-211100−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000000000
χ312222-12-1-122222-12-1-1-12-1-1-12-1-12-12-1-122-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1222222-1-122-1-1-1-1-1-122-1-1-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-100000000000000
χ322222-12-1-122222-12-1-1-12-1-1-12-1-12-12-1-122-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-122-2-2-2-211-2-2111111-2-2111122-12-1-1-12-1-1-1-12-1-12-1-1-1-12-1-12-1-1-2-21-2111-21111-211-21111-211-21100000000000000
χ332222-12-1-122222-12-1-1-12-1-1-12-1-12-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-1-12-1-111-211-21111-211-211222222-1-122-1-1-1-1-1-122-1-1-1-1-2-2-12-1-1-12-1-111-211-21111-211-211-2-2-12-1-1-12-1-111-211-21111-211-21100000000000000
χ342222-12-1-122222-12-1-1-12-1-1-12-1-12-12-1-1-2-2-1-122-1-1-1-1-12-1-1-12-1-1-12-1-111-211-21111-211-21122-2-2-2-211-2-2111111-2-21111-2-2-12-1-1-12-1-111-211-21111-211-211221-2111-211-1-12-1-12-1-1-1-12-1-12-1-100000000000000
χ352222-12-1-12-2-222-12-1-1-12-1-1-12-1-12-12-1-100-1-122-1-1-1-1-12-1-11-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-2-222-2-211-2-2111111-2-21111001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300-12-1-1-12-1-1−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000000000
χ362222-12-1-12-2-222-12-1-1-12-1-1-12-1-12-12-1-100-1-122-1-1-1-1-12-1-11-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000000000
χ372222-12-1-12-2-222-12-1-1-12-1-1-12-1-12-12-1-100-1-122-1-1-1-1-12-1-11-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-2-222-2-211-2-2111111-2-21111001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300-12-1-1-12-1-1i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000000000
χ382222-12-1-12-2-222-12-1-1-12-1-1-12-1-12-12-1-100-1-122-1-1-1-1-12-1-11-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1001-2111-211i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3001-2111-211−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000000000
χ392222-1-12-122222-1-12-1-1-12-1-1-12-12-1-12-122-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12222222-1-1-1-122-1-1-1-1-1-122-1-122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1222-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ402222-1-12-122222-1-12-1-1-12-1-1-12-12-1-12-122-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-1222-2-2-2-21111-2-2111111-2-21122-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-2-211-2111-21111-2111-2111-2111-200000000000000
χ412222-1-12-122222-1-12-1-1-12-1-1-12-12-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1111-2111-2111-2111-2222222-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-12-1-1-12-1111-2111-2111-2111-2-2-2-1-12-1-1-12-1111-2111-2111-2111-200000000000000
χ422222-1-12-122222-1-12-1-1-12-1-1-12-12-1-12-1-2-2-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1111-2111-2111-2111-222-2-2-2-21111-2-2111111-2-211-2-2-1-12-1-1-12-1111-2111-2111-2111-22211-2111-21-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ432222-1-12-12-2-222-1-12-1-1-12-1-1-12-12-1-12-100-1-1-1-122-1-1-1-12-111-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30-2-222-2-21111-2-2111111-2-2110011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000-1-12-1-1-12-1−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000000000
χ442222-1-12-12-2-222-1-12-1-1-12-1-1-12-12-1-12-100-1-1-1-122-1-1-1-12-111-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30-2-2-2-222-1-1-1-122-1-1-1-1-1-122-1-10011-2111-21−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300011-2111-21i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000000000
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χ1094444-2-2-24-2-4-4-2-2-2-2-24-2-2-24-2-2-24-2111-200111111-2-2111-2222-4222-42i3−2i32i3−2i30−2i302i32i3−2i32i3−2i30−2i302i3220000000000000000000000-1-1-12-1-1-12−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000000000000000000000000000000000
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χ11344-4-44-2-2-24004-4-4222-42224-2-2-2-44-2-2-2004-4-22-22-22-42220000000000000000000000000000000023−2323−2323−230023−2323−2323−23000000000000000000000000000000000000000000000000000000000000000000
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χ11944-4-4-2-2-244004-4222-4222-4-2-2-24-4-2-2-2400-22-22-224-4222-400000000000000000000000000000023−2323−23−23230023−2323−23−232300000000000000000000000000000000000000000000000000000000000000000000
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χ1214-44-44444-2-44224444-4-4-4-4-4-4-4-4-2-2-2-2-20022222222-2-2-2-2-4-4-4-444440000000000000000-2200000000000000000000002222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ1224-44-44-2-2-2-24-4224-2-2-2-4222-4222-2-21114-422-1-1-1-1-1-1-21114-2-2-2-422244-2-2-2-2-2-2-4-42222222-200000000000000000000-22-21112-1-1-1-2-211111122-1-1-1-1-1-10000000000000000000000000000000000000000
χ1234-44-44-2-2-2-24-4224-2-2-2-4222-4222-2-2111-4422-1-1-1-1-1-1-21114-2-2-2-4222-4-422222244-2-2-2-2-2-22-2000000000000000000002-2-21112-1-1-122-1-1-1-1-1-1-2-21111110000000000000000000000000000000000000000
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χ1264-44-4-24-2-2-24-422-24-2-22-4222-422-21-2114-4-1-122-1-1-1-11-211-24-2-22-422-2-24-2-24-2-222-422-4222-200000000000000000000-221-211-12-1-111-211-211-1-12-1-12-1-10000000000000000000000000000000000000000
χ1274-44-4-24-2-2-24-422-24-2-22-4222-422-21-211-44-1-122-1-1-1-11-211-24-2-22-42222-422-422-2-24-2-24-2-22-2000000000000000000002-21-211-12-1-1-1-12-1-12-1-111-211-2110000000000000000000000000000000000000000
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χ1324-44-4-2-24-2-2-4422-2-24-222-4222-42-211-2100-1-1-1-122-1-111-2122-42-2-24-2−2i32i32i30−2i3−2i32i302i3−2i3−2i302i32i3−2i30-220000000000000000000000-1-12-111-21i3−i3−i30i3i3−i30−i3i3i30−i3−i3i300000000000000000000000000000000000000000
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χ1344-44-4-2-2-24-24-422-2-2-24222-4222-4-2111-24-4-1-1-1-1-1-122111-2-2-2-24222-4-2-2-2-24-24-22222-42-422-200000000000000000000-22111-2-1-1-121111-21-21-1-1-1-12-12-10000000000000000000000000000000000000000
χ1354-44-4-2-2-24-24-422-2-2-24222-4222-4-2111-2-44-1-1-1-1-1-122111-2-2-2-24222-42222-42-42-2-2-2-24-24-22-2000000000000000000002-2111-2-1-1-12-1-1-1-12-12-11111-21-210000000000000000000000000000000000000000
χ1364-44-4-2-2-24-2-4422-2-2-24222-4222-4-2111-200-1-1-1-1-1-122111-2222-4-2-2-24−2i32i3−2i32i302i30−2i32i3−2i32i3−2i30−2i302i3-220000000000000000000000-1-1-12111-2i3−i3i3−i30−i30i3−i3i3−i3i30i30−i30000000000000000000000000000000000000000
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χ1414-4-444-2-2-2400-44-42224-2-2-2-4222-44-2-2-200-442-22-22-2-422200000000000000000000000000000000−2i32i3−2i32i3−2i32i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-444-2-2-2400-44-42224-2-2-2-4222-44-2-2-200-442-22-22-2-4222000000000000000000000000000000002i3−2i32i3−2i32i3−2i300−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
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χ14988-8-88-4-4-4-400-44-8444-84448-4-4-44-422200-442-22-22-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ15288-8-8-4-4-48-400-44444-8444-8-4-4-484222-4002-22-22-2-44-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1568-8-88-4-4-48-4004-4444-8-4-4-48444-84222-400-22-22-224-4-2-2-240000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).