Finite Group Databasebeta

← Group #13143732

Character table — Group #13143732

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11111111111111111111111122222222222244444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636
order1222222233666666666666664444121212121212121244441212121212121212333366666666666666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444466666666121212121212121244441212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1
χ911-1-11-11-11111-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i11-1-1ii−i−i
χ1011-1-11-11-11111-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii-1-111−i−iii
χ1111-1-11-11-11111-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−i-11−ii-1-111−i−iii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-1-111−i−iii
χ1211-1-11-11-11111-1-1-1-111-1-111-1-1ii−i−iiiii−i−i−i−i-11−ii-1-111−i−iii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−i11-1-1ii−i−i
χ1311-1-11-11-11111-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii11-1-1−i−iii
χ1411-1-11-11-11111-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−i-1-111ii−i−i
χ1511-1-11-11-11111-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-1-111ii−i−i
χ1611-1-11-11-11111-1-1-1-111-1-111-1-1−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−i111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii11-1-1−i−iii
χ172222222222222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000000
χ18222222222222222222222222222222222222222222222222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ19222222222222222222222222222222222222222222222222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000000000000
χ20222222222222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000000000
χ21222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000000000000000000000000000000000
χ22222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000000000000000000000000000000
χ23222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211000000000000000000000000000000000000
χ24222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-2000000000000000000000000000000000000
χ25222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000000000000000000000
χ26222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000000000000000000000000000
χ27222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000000000000000000000000000
χ28222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000000000000000000000
χ29222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000000000000
χ30222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000000000000
χ31222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-2111111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000000000000000
χ32222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000000000000000
χ332222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000022222-22-22-22-222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002-22-2000022-2-222-2-200000000000000000000
χ342222-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000022222-22-22-22-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-22-220000-2-222-2-22200000000000000000000
χ3522-2-22-22-22222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-22i−2i22-2-22i2i−2i−2i2-1-1-122-1-1-1-1-1-1-2-21111112-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii22-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii000000000000000000000000000000000000
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χ3722-2-22-22-22222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i2-22i−2i22-2-22i2i−2i−2i-1-12-1-1-1-1-122-1-11111-2-211-1-12-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii-1-1-1-122-1-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii000000000000000000000000000000000000
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χ3922-2-22-22-22222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-22−2i2i-2-222−2i−2i2i2i2-1-1-122-1-1-1-1-1-1-2-21111112-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000000000000000000000000000
χ4022-2-22-22-22222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-22−2i2i-2-222−2i−2i2i2i-12-1-1-1-122-1-1-1-111-2-21111-12-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii11-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000000000000000000000
χ4122-2-22-22-22222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-22−2i2i-2-222−2i−2i2i2i-1-12-1-1-1-1-122-1-11111-2-211-1-12-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii1111-2-211-1-1-1-122-1-1iiii−2i−2iii−i−i−i−i2i2i−i−i000000000000000000000000000000000000
χ4222-2-22-22-22222-2-2-2-222-2-222-2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i-22−2i2i-2-222−2i−2i2i2i-1-1-12-1-1-1-1-1-122111111-2-2-1-1-12111111-2-2−i−i−i−i−i−i2i2iiiiiii−2i−2i111111-2-2-1-1-1-1-1-122iiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000000000000000000000
χ4322-2-22-22-22222-2-2-2-222-2-222-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-2−2i2i22-2-2−2i−2i2i2i2-1-1-122-1-1-1-1-1-1-2-21111112-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i22-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000000000000000000000000000000000
χ4422-2-22-22-22222-2-2-2-222-2-222-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-2−2i2i22-2-2−2i−2i2i2i-12-1-1-1-122-1-1-1-111-2-21111-12-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i000000000000000000000000000000000000
χ4522-2-22-22-22222-2-2-2-222-2-222-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-2−2i2i22-2-2−2i−2i2i2i-1-12-1-1-1-1-122-1-11111-2-211-1-12-11111-2-211iiii−2i−2iii−i−i−i−i2i2i−i−i-1-1-1-122-1-11111-2-211iiii−2i−2iii−i−i−i−i2i2i−i−i000000000000000000000000000000000000
χ4622-2-22-22-22222-2-2-2-222-2-222-2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i2-2−2i2i22-2-2−2i−2i2i2i-1-1-12-1-1-1-1-1-122111111-2-2-1-1-12111111-2-2iiiiii−2i−2i−i−i−i−i−i−i2i2i-1-1-1-1-1-122111111-2-2iiiiii−2i−2i−i−i−i−i−i−i2i2i000000000000000000000000000000000000
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χ1354-44-444-4-444-4-444-4-44444-4-4-4-4000000000000000000000000-2-24-22222-4-422-22-224-4-22-2-24-2-22-224-4-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1384-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000000000-24-2-222-4-422222-2-442-22-2-24-2-22-2-442-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000000000-2-24-22222-4-4222-22-2-442-2-2-24-22-22-2-442-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-444-4-4444-4-4-4-44444-4-4-4-444000000000000000000000000-2-2-24222222-4-42-22-22-2-44-2-2-242-22-22-2-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1416666-6-6-6-6−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-20000−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i300000000000000000000
χ1426666-6-6-6-6−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-2200001+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i300000000000000000000
χ1436666-6-6-6-6−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-22-20000−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i300000000000000000000
χ1446666-6-6-6-6−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i33−3i33+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-22-2200001−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i300000000000000000000
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χ14666-6-6-66-66−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-200001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i300000000000000000000
χ14766-6-6-66-66−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-220000−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i300000000000000000000
χ14866-6-6-66-66−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-200001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i300000000000000000000
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χ1506-66-666-6-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2ζ11−2ζ72ζ112ζ7−2ζ11−2ζ72ζ112ζ7000000000000
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χ1526-66-666-6-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000−2ζ7−2ζ112ζ72ζ11−2ζ7−2ζ112ζ72ζ11000000000000
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χ1546-66-6-6-666−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i3-66-663+3i33−3i3−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1566-66-6-6-666−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i3-66-663−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1576-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002-2-2200000000−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i3000000000000
χ1586-6-666-6-66−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000000000
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χ1646-6-66-666-6−3+3i3−3−3i33−3i33+3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i3−6i6i6i−6i−6ζ7−6ζ116ζ76ζ116ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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