Finite Group Databasebeta

← Group #13156803

Character table — Group #13156803

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666664444444412121212121212121212121212121212366666664412121212121212121212121212121212121212121212121212121212121212121212121212121212444412121212121212124444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ911-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−i1-1
χ1011-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−iiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiiiii−i−iiiii−i−i−i−i-11−ii-1-111−i−iii-11
χ1111-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1i−iii−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii-11
χ1211-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−iiii−i−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−i1-1
χ1311-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i−i−iii−i−i−i−iiiii-11i−i-1-111ii−i−i-11
χ1411-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−ii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii1-1−ii11-1-1−i−iii1-1
χ1511-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1i−i−i−iii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−iiiii−i−i−i−i-11−ii-1-111−i−iii1-1
χ1611-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-11-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−ii−i−iii-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiii−i−iiiii−i−i−i−i1-1i−i11-1-1ii−i−i-11
χ172222222222-12222-1-12222-1-12222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1222200002222222200000000-1-1-1-1-1-1-1-122-1-1-1-1000022-1-122-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000
χ182222222222-12222-1-12222-1-12222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1222200002222222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-10000-2-211-2-211-1-1-1-1-1-1-1-10000000011111111000000000000-2-2001111000000
χ192222222222-12222-1-12222-1-12222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1221111000022-1-122-1-11111111100000000-1-1-1-1-1-1-1-1000000000000-2-2001111000000
χ202222222222-12222-1-12222-1-12222-1-1-1222-1-122-1-1-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-211110000-2-211-2-2111111111100000000111111110000000000002200-1-1-1-1000000
χ21222222222-1222-1-12222-1-1222-12-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1220000-1-1-1-1-1-122-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-100
χ22222222222-1222-1-12222-1-1222-12-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-1000022220000000022222222-1-1-1-1-1-1-1-1-2-20000-1-1-1-111-2-211-2-200000000-1-1-1-1-1-1-1-11111111100000000000000-2-20000111100
χ23222222222-1222-1-12222-1-1222-12-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12200001111-1-122-1-1220000000011111111-1-1-1-1-1-1-1-100000000000000-2-20000111100
χ24222222222-1222-1-12222-1-1222-12-12222-1-12-1-1-1222-1-1-1-1-1-1-1222-1-1-1-12-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-20000111111-2-211-2-200000000111111111111111100000000000000220000-1-1-1-100
χ2522222222-122-1-12222-1-12222-12-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-100000000000000
χ2622222222-122-1-12222-1-12222-12-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-122222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1002222-2-2-2-200000000-1-1-1-1-1-1-1-11111111100000000-2-2-2-21111111100000000000000
χ2722222222-122-1-12222-1-12222-12-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-222220000000011111111-1-1-1-1-1-1-1-100000000-2-2-2-21111111100000000000000
χ2822222222-122-1-12222-1-12222-12-12222-12-1-12-1-1-1-1-1222-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-2000000001111111111111111000000002222-1-1-1-1-1-1-1-100000000000000
χ292222-2-2-2-22222-22-22-22-2222-2-2-22-22-2-2-2-22222-22-2-22-2-222-2-22-2-222-2-22-22-22-2000022-2-222-2-20000000022-2-222-2-2002-22-200000000000022-2-222-2-2000000000000000000000000000000000000000000
χ302222-2-2-2-22222-22-22-22-2222-2-2-22-22-2-2-2-22222-22-2-22-2-222-2-22-2-222-2-22-2-22-220000-2-222-2-2220000000022-2-222-2-200-22-22000000000000-2-222-2-222000000000000000000000000000000000000000000
χ312222-2-2-2-222-12-22-2-112-222-11-2-22-2-111-2-22-1-12-2-111-11122-2-2-111-1-11-2-112-22-2000022-2-222-2-200000000-1-111-1-11100-11-110000003−3003−3-1-111-1-1110000000033−3−333−3−300000000000000003−33−3000000
χ322222-2-2-2-222-12-22-2-112-222-11-2-22-2-111-2-22-1-12-2-111-11122-2-2-111-1-11-2-112-22-2000022-2-222-2-200000000-1-111-1-11100-11-11000000−3300−33-1-111-1-11100000000−3−333−3−3330000000000000000−33−33000000
χ332222-2-2-2-222-12-22-2-112-222-11-2-22-2-111-2-22-1-12-2-111-11122-2-2-111-1-11-2-11-22-220000-2-222-2-22200000000-1-111-1-111001-11-10000003−3003−311-1-111-1-10000000033−3−333−3−30000000000000000−33−33000000
χ342222-2-2-2-222-12-22-2-112-222-11-2-22-2-111-2-22-1-12-2-111-11122-2-2-111-1-11-2-11-22-220000-2-222-2-22200000000-1-111-1-111001-11-1000000−3300−3311-1-111-1-100000000−3−333−3−33300000000000000003−33−3000000
χ352222-2-2-2-2-122-112-22-2-11222-21-2-1-22-2-21-2-1-12-11-1112-2-2-1-111-11122-21-1-22-22-20000-1-111-1-11133−3−333−3−3-1-111-1-111002-22-2000000000000-1-111-1-11133−3−333−3−300000000000033−3−333−3−300000000000000
χ362222-2-2-2-2-122-112-22-2-11222-21-2-1-22-2-21-2-1-12-11-1112-2-2-1-111-11122-21-1-22-22-20000-1-111-1-111−3−333−3−333-1-111-1-111002-22-2000000000000-1-111-1-111−3−333−3−333000000000000−3−333−3−33300000000000000
χ372222-2-2-2-2-122-112-22-2-11222-21-2-1-22-2-21-2-1-12-11-1112-2-2-1-111-11122-21-1-2-22-22000011-1-111-1-133−3−333−3−3-1-111-1-11100-22-2200000000000011-1-111-1-133−3−333−3−3000000000000−3−333−3−33300000000000000
χ382222-2-2-2-2-122-112-22-2-11222-21-2-1-22-2-21-2-1-12-11-1112-2-2-1-111-11122-21-1-2-22-22000011-1-111-1-1−3−333−3−333-1-111-1-11100-22-2200000000000011-1-111-1-1−3−333−3−33300000000000033−3−333−3−300000000000000
χ3922-2-22-2-2222-12222-1-1-2-2-2-21122-2-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000-1-1-1-111112i−2i−i−iii00002i2i−i−i−2i−2iii−i−i−i−iiiii00000000−i−i−i−iiiii0000000000002-200-1-111000000
χ4022-2-22-2-2222-12222-1-1-2-2-2-21122-2-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-21111112112i2i−2i−2i00002i2i2i2i−2i−2i−2i−2i00000000-1-1-1-11111−2i2i−i−iii0000−2i−2iii2i2i−i−i−i−i−i−iiiii00000000iiii−i−i−i−i000000000000-220011-1-1000000
χ4122-2-22-2-2222-12222-1-1-2-2-2-21122-2-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000-1-1-1-111112i−2iii−i−i00002i2i−i−i−2i−2iiiiiii−i−i−i−i00000000−i−i−i−iiiii000000000000-220011-1-1000000
χ4222-2-22-2-2222-12222-1-1-2-2-2-21122-2-211-1-2-22-1-122-1-1-1-1-1-1-2-2-2-2111111211−2i−2i2i2i0000−2i−2i−2i−2i2i2i2i2i00000000-1-1-1-11111−2i2iii−i−i0000−2i−2iii2i2i−i−iiiii−i−i−i−i00000000iiii−i−i−i−i0000000000002-200-1-111000000
χ4322-2-22-2-222-1222-1-122-2-211-2-22-1-21-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-21000022-2-2000000002222-2-2-2-2-1-1-1-111112i−2i0000-1-111−i−i2i2iii−2i−2i00000000-1-1-1-11111−i−i−i−iiiii000000000000002i−2i0000−i−iii00
χ4422-2-22-2-222-1222-1-122-2-211-2-22-1-21-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-21000022-2-2000000002222-2-2-2-2-1-1-1-11111−2i2i0000-1-111ii−2i−2i−i−i2i2i00000000-1-1-1-11111iiii−i−i−i−i00000000000000−2i2i0000ii−i−i00
χ4522-2-22-2-222-1222-1-122-2-211-2-22-1-21-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-210000-2-22200000000-2-2-2-22222-1-1-1-111112i−2i000011-1-1−i−i2i2iii−2i−2i000000001111-1-1-1-1−i−i−i−iiiii00000000000000−2i2i0000ii−i−i00
χ4622-2-22-2-222-1222-1-122-2-211-2-22-1-21-2-22-21-12-1-1-1222-1-1-11111-2-2-2111-1-210000-2-22200000000-2-2-2-22222-1-1-1-11111−2i2i000011-1-1ii−2i−2i−i−i2i2i000000001111-1-1-1-1iiii−i−i−i−i000000000000002i−2i0000−i−iii00
χ4722-2-22-2-22-122-1-1222211-2-2-2-2-121-2-2-221-2-1-12-1-1-1-1-12221111111-2-2-2-11-22i2i−2i−2i22-2-2−i−i−i−iiiii-1-1-1-11111-1-1-1-11111002i2i−2i−2i22-2-200000000−i−i−i−iiiii-1-1-1-11111000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ4822-2-22-2-22-122-1-1222211-2-2-2-2-121-2-2-221-2-1-12-1-1-1-1-12221111111-2-2-2-11-22i2i−2i−2i-2-222−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111002i2i−2i−2i-2-22200000000−i−i−i−iiiii1111-1-1-1-100000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ4922-2-22-2-22-122-1-1222211-2-2-2-2-121-2-2-221-2-1-12-1-1-1-1-12221111111-2-2-2-11-2−2i−2i2i2i22-2-2iiii−i−i−i−i-1-1-1-11111-1-1-1-1111100−2i−2i2i2i22-2-200000000iiii−i−i−i−i-1-1-1-1111100000000−2i−2i2i2iiiii−i−i−i−i00000000000000
χ5022-2-22-2-22-122-1-1222211-2-2-2-2-121-2-2-221-2-1-12-1-1-1-1-12221111111-2-2-2-11-2−2i−2i2i2i-2-222iiii−i−i−i−i1111-1-1-1-1-1-1-1-1111100−2i−2i2i2i-2-22200000000iiii−i−i−i−i1111-1-1-1-1000000002i2i−2i−2i−i−i−i−iiiii00000000000000
χ5122-2-2-222-22222-22-22-2-22-2-2-22-2-2-22-22-2222222-22-2-22-2-2-2-222-222-2-22-2-222i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-222002i−2i−2i2i0000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000
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χ11544-4-4-444-4-24-2-224-4-222-2-4-42-22-4242-22-24-21-2-221-1-1-22222-2-2-11122-22-1-24i−4i−4i4i0000−2i−2i2i2i2i2i−2i−2i0000000011-1-1-1-11100−2i2i2i−2i000000000000ii−i−i−i−iii000000000000000000000000000000000000000000
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χ1204-44-44-44-44-2-2-442-2224-4-22-22-42-4-22-2-242-2-212-22-22-11-1-22-22-2-221-1-12210000000000000000000000001-11-11-11-10000000000−2i32i300−2i32i3000000000000000000i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ1214-44-44-44-44-2-2-442-2224-4-22-22-42-4-22-2-242-2-212-22-22-11-1-22-22-2-221-1-12210000000000000000000000001-11-11-11-100000000002i3−2i3002i3−2i3000000000000000000−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ1224-44-44-44-4-24-22-2-4422-224-4-222-4242-2-2-2-4-21-22-2-11-12-22-22-2211-1-2222-1-20000000023−2323−2323−2323−23000000001-11-11-11-1000000000000000000−33−33−33−33000000000000000000000000000000000000000000
χ1234-44-44-44-4-24-22-2-4422-224-4-222-4242-2-2-2-4-21-22-2-11-12-22-22-2211-1-2222-1-200000000−2323−2323−2323−2323000000001-11-11-11-10000000000000000003−33−33−33−3000000000000000000000000000000000000000000
χ1244-44-44-44-4-2-242-22-2-4-4-22-224-4222-2-444-221-2-2-112-222-221-11-1-2-22-222-12-200004i−4i4i−4i00000000−2i2i−2i2i−2i2i−2i2i1-11-11-11-1000000−2i2i−2i2i0000000000000000i−ii−ii−ii−i0000000000000000000000000000000000
χ1254-44-44-44-4-2-242-22-2-4-4-22-224-4222-2-444-221-2-2-112-222-221-11-1-2-22-222-12-20000−4i4i−4i4i000000002i−2i2i−2i2i−2i2i−2i1-11-11-11-10000002i−2i2i−2i0000000000000000−ii−ii−ii−ii0000000000000000000000000000000000
χ1264-44-4-44-4444-2-4-4-4-42-2444-4-2-244-4-4222-444-2-2-4-422-222-24-4-44-22-2-22-2422000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1274-44-4-44-444-24-4-422-4444-22444-2-42-4-4-4-4-2-24-222-4-4422-2-222-24-44-22-2-2-42000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1284-44-4-44-444-2-2-4-4222-244-22-2-24-2-42222-4-2-2-212222-2-1-11-222-2-22-21-11-22-10000000000000000000000001-1-111-1-1100000000000000000000000000000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000
χ1294-44-4-44-444-2-2-4-4222-244-22-2-24-2-42222-4-2-2-212222-2-1-11-222-2-22-21-11-22-10000000000000000000000001-1-111-1-110000000000000000000000000000000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000
χ1304-44-4-44-44-24-222-4-42-2-2-24-4-2-2-242-422224-21-222-1-1122-2-222-21-11-22-2-2-120000000023−23−232323−23−2323000000001-1-111-1-11000000000000000000−333−3−333−3000000000000000000000000000000000000000000
χ1314-44-4-44-44-24-222-4-42-2-2-24-4-2-2-242-422224-21-222-1-1122-2-222-21-11-22-2-2-1200000000−232323−23−232323−23000000001-1-111-1-110000000000000000003−3−333−3−33000000000000000000000000000000000000000000
χ1324-44-4-44-44-2-242222-44-2-2-2244-2-222-4-4-42-21-2-2-1-122-222-21-1-11-22-2-22-21220000000000000000−2i32i32i3−2i3−2i32i32i3−2i31-1-111-1-1100000000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
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χ1344-4-4444-4-444-2-44-4422-44-442-2-4-44-4-22-2-444-2-2-442-222-22-44-4422-22-2-2-4-22000000000000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4444-4-44-2-2-442-222-442-22-2-4242-22-2-4-2-2-212-22-22-11-12-22-222-2-1112-2-10000000000000000000000001-11-1-11-11000000000023−2300−2323000000000000000000−33−333−33−300000000000000000000000000
χ1364-4-4444-4-44-2-2-442-222-442-22-2-4242-22-2-4-2-2-212-22-22-11-12-22-222-2-1112-2-10000000000000000000000001-11-1-11-110000000000−23230023−230000000000000000003−33−3−33−3300000000000000000000000000
χ1374-4-4444-4-4-24-22-2-44222-2-442-22-4-2-4-22-224-21-22-2-11-12-222-22-2-1-112-2-221200000000−2i32i3−2i32i32i3−2i32i3−2i3000000001-11-1-11-11000000000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1384-4-4444-4-4-24-22-2-44222-2-442-22-4-2-4-22-224-21-22-2-11-12-222-22-2-1-112-2-2212000000002i3−2i32i3−2i3−2i32i3−2i32i3000000001-11-1-11-11000000000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1394-4-4444-4-4-2-242-22-2-4-42-22-2-4422-224-442-21-2-2-112-222-22-11-1122-22-2-2-1-2200004i−4i−4i4i00000000−2i2i−2i2i2i−2i2i−2i1-11-1-11-11000000−2i2i2i−2i0000000000000000i−ii−i−ii−ii0000000000000000000000000000000000
χ1404-4-4444-4-4-2-242-22-2-4-42-22-2-4422-224-442-21-2-2-112-222-22-11-1122-22-2-2-1-220000−4i4i4i−4i000000002i−2i2i−2i−2i2i−2i2i1-11-1-11-110000002i−2i−2i2i0000000000000000−ii−iii−ii−i0000000000000000000000000000000000
χ1414-4-44-4-44444-2-4-4-4-42-2-4-4-44224444-2-224-44-2-2-4-422-222-2-444-42-222-224-2-2000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
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χ1434-4-44-4-4444-2-2-4-4222-2-4-42-2224-24-2-2-2242-2-212222-2-1-112-2-222-22-11-1-2-210000000000000000000000001-1-11-111-100000000000000000000000000000000003-3-33-333-300000000000000000000000000
χ1444-4-44-4-4444-2-2-4-4222-2-4-42-2224-24-2-2-2242-2-212222-2-1-112-2-222-22-11-1-2-210000000000000000000000001-1-11-111-10000000000000000000000000000000000-333-33-3-3300000000000000000000000000
χ1454-4-44-4-444-24-222-4-42-222-4422-24-24-2-22-2-4-21-222-1-1122-22-2-22-11-12-22-21-200000000−2i32i32i3−2i32i3−2i3−2i32i3000000001-1-11-111-1000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
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χ1474-4-44-4-444-2-242222-44222-2-4-4-2-2-2-244-4-221-2-2-1-122-222-2-111-12-222-221-2-20000000000000000−2i32i32i3−2i32i3−2i3−2i32i31-1-11-111-100000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000
χ1484-4-44-4-444-2-242222-44222-2-4-4-2-2-2-244-4-221-2-2-1-122-222-2-111-12-222-221-2-200000000000000002i3−2i3−2i32i3−2i32i32i3−2i31-1-11-111-100000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000
χ14988888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222222222222222000000000000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1508888-8-8-8-8-4-4-4-44-44-44-44-4-4-4444-44-444442222-22-2-22-2-222-2-22-2-222-2-22-2000000000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000
χ15188-8-88-8-88-4-4-4-4-4-4-4-4-4444444-4-44444-44422222222222-2-2-2-2-2-2-2-2-2-22-2-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-8-888-8-4-4-4-44-44-444-4444-4444-44-44-4-42222-22-2-22-2-2-2-222-222-2-22-2-22000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1538-88-88-88-8-4-4-44-44-444-44-44-44444-44-4-4-44222-22-22-2-22-22-22-222-22-2-2-2-22000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-8-88-88-4-4-444444-4-4-4-44-4-4-4-4444444-4222-2-2-2-22-2-222-2-222-222-222-2-2000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-8888-8-8-4-4-44-44-4444-44-44-444-44-44-44-4222-22-22-2-22-2-22-22-2-22-222-22-2000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-88-8-888-4-4-444444-4444-444-4-4-4-4-4-44-44222-2-2-2-22-2-22-222-2-22-2-22-2222000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000

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