Finite Group Databasebeta

← Group #14301592

Character table — Group #14301592

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222222222222222222244444444444444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212121220202020202020202020202020202020202020202020202024242424242424242424120120120120
order12222234444556661010101010102020202020202020444466101010101212121212121212121212121515202020203030303030306060606060606060202020202020202030303030606060606060606060606060606060606060606044442020202020202020202020202020202044444444121212121212121212121212121212128840404040404040402288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ7111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1
χ8111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-111
χ91-1-11-11111-1-111-1-1111-1-1-1-11111-1-1-1-1ii−i−i1-1-1-111iiii−i−i−i−i11-1-11111-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1i−iiiii−i−i−i−i1-1i−i
χ101-1-11-11111-1-111-1-1111-1-1-1-11111-1-1-1-1ii−i−i1-1-1-111iiii−i−i−i−i11-1-11111-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-11111i−iiiii−i−i−i−i-11−ii
χ111-1-11-11111-1-111-1-1111-1-1-1-11111-1-1-1-1ii−i−i1-1-1-111iiii−i−i−i−i11-1-11111-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1-1-1-1-111111111ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−ii−i−i−i−iiiii-11−ii
χ121-1-11-11111-1-111-1-1111-1-1-1-11111-1-1-1-1ii−i−i1-1-1-111iiii−i−i−i−i11-1-11111-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1-1-1-1-111111111−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−ii−i−i−i−iiiii1-1i−i
χ131-1-11-11111-1-111-1-1111-1-1-1-11111-1-1-1-1−i−iii1-1-1-111−i−i−i−iiiii11-1-11111-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−ii−i−i−i−iiiii-11i−i
χ141-1-11-11111-1-111-1-1111-1-1-1-11111-1-1-1-1−i−iii1-1-1-111−i−i−i−iiiii11-1-11111-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111111111-1-1-1-1-1-1-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−ii−i−i−i−iiiii1-1−ii
χ151-1-11-11111-1-111-1-1111-1-1-1-11111-1-1-1-1−i−iii1-1-1-111−i−i−i−iiiii11-1-11111-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1-1-1-1-111111111ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111i−iiiii−i−i−i−i1-1−ii
χ161-1-11-11111-1-111-1-1111-1-1-1-11111-1-1-1-1−i−iii1-1-1-111−i−i−i−iiiii11-1-11111-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1-1-1-1-111111111−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1i−iiiii−i−i−i−i-11i−i
χ1722222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ1822222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000-2-21+521+521−521−521+521+521−521−520000
χ1922222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000-2-21+521+521−521−521+521+521−521−520000
χ2022222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ2122222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ2222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000000000000000-2-21−521−521+521+521−521−521+521+520000
χ2322222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000-2-21−521−521+521+521−521−521+521+520000
χ2422222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ252222222-2-2-2-222222222222-2-2-2-2-2-2-2-2000022222200000000-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000000000000000000000002-22-20000000022-2-222-2-200000000000000
χ262222222-2-2-2-222222222222-2-2-2-2-2-2-2-2000022222200000000-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000000000000000-22-2200000000-2-222-2-22200000000000000
χ27222222-1222222-1-1-1222222222222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ28222222-1222222-1-1-1222222222222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2-2-2-2-2111111111111111100000000000000
χ29222222-1222222-1-1-122222222222222-2-2-2-2-1-1222211111111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000
χ30222222-1222222-1-1-122222222222222-2-2-2-2-1-1222211111111-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000
χ31222222-1-2-2-2-222-1-1-1222222-2-2-2-2-2-2-2-20000-1-12222−i3−i3i3i3−i3−i3i3i31111-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000000000002-22-2−i3−i3i3i3−i3−i3i3i3-1-111-1-11100000000000000
χ32222222-1-2-2-2-222-1-1-1222222-2-2-2-2-2-2-2-20000-1-12222−i3−i3i3i3−i3−i3i3i31111-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-11111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000-22-22i3i3−i3−i3i3i3−i3−i311-1-111-1-100000000000000
χ33222222-1-2-2-2-222-1-1-1222222-2-2-2-2-2-2-2-20000-1-12222i3i3−i3−i3i3i3−i3−i31111-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-11111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000000000002-22-2i3i3−i3−i3i3i3−i3−i3-1-111-1-11100000000000000
χ34222222-1-2-2-2-222-1-1-1222222-2-2-2-2-2-2-2-20000-1-12222i3i3−i3−i3i3i3−i3−i31111-1-1-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-11111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000-22-22−i3−i3i3i3−i3−i3i3i311-1-111-1-100000000000000
χ352222-2-222-22-222222222222222222220000-2-2-2-2-2-2000000002-22-222-2-2-2-22222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000002-22-200002-22-22-22-20000000000000000000000
χ362222-2-222-22-222222222222222222220000-2-2-2-2-2-2000000002-22-222-2-2-2-22222222222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-22-220000-22-22-22-220000000000000000000000
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χ382222-2-22-22-2222222222222-2-2-2-2-2-2-2-2-22-22-2-2-2-2-2-2-22-22-22-22-22-22222222222222-2-2-2-2-2-2-2-2-22-22-22-22-2-2-2-22222-22-22-22-22-22-22-22-220000000000000000000000000000000000000000000000000000000000
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χ1454-4-44-44-244-4-4−1−5−1+522-2−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−54i4i−4i−4i-221+51−5−1−5−1+5−2i−2i−2i−2i2i2i2i2i-2-2221+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ471+521−52−1−52−1+521+521−52−1−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ470000000000000000000000000000000000000000000000000000000000
χ1464-4-44-44-244-4-4−1−5−1+522-2−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5−4i−4i4i4i-221+51−5−1−5−1+52i2i2i2i−2i−2i−2i−2i-2-2221+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ471+521−52−1−52−1+521+521−52−1−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ470000000000000000000000000000000000000000000000000000000000
χ1474-4-44-44-244-4-4−1+5−1−522-2−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+54i4i−4i−4i-221−51+5−1+5−1−5−2i−2i−2i−2i2i2i2i2i-2-2221−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ591−521+52−1+52−1−521−521+52−1+52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ590000000000000000000000000000000000000000000000000000000000
χ1484-4-44-44-244-4-4−1+5−1−522-2−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5−4i−4i4i4i-221−51+5−1+5−1−52i2i2i2i−2i−2i−2i−2i-2-2221−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ591−521+52−1+52−1−521−521+52−1+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ590000000000000000000000000000000000000000000000000000000000
χ1494-4-44-44-2-4-444−1−5−1+522-2−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+50000-221+51−5−1−5−1+52323−23−23−23−23232322-2-21+521−521+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52−1−52−1+521+521−52−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ470000000000000000000000000000000000000000000000000000000000
χ1504-4-44-44-2-4-444−1−5−1+522-2−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+50000-221+51−5−1−5−1+5−23−2323232323−23−2322-2-21+521−521+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52−1−52−1+521+521−52ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ470000000000000000000000000000000000000000000000000000000000
χ1514-4-44-44-2-4-444−1+5−1−522-2−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−50000-221−51+5−1+5−1−52323−23−23−23−23232322-2-21−521+521−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52−1+52−1−521−521+52ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ590000000000000000000000000000000000000000000000000000000000
χ1524-4-44-44-2-4-444−1+5−1−522-2−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−50000-221−51+5−1+5−1−5−23−2323232323−23−2322-2-21−521+521−51+5−1+5−1−51−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−52−1+52−1−521−521+52−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ590000000000000000000000000000000000000000000000000000000000
χ15388-8-800-4000088-444-8-88-88-8000000000000000000000000000000-4-4000044-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15488-8-800-40000−2−25−2+25-4442+252−25−2−252+25−2+252−25−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ4700000000000000000000001+51−50000−1−5−1+51+5−1−51−5−1+52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15588-8-800-40000−2−25−2+25-4442+252−25−2−252+25−2+252−254ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ4700000000000000000000001+51−50000−1−5−1+51+5−1−51−5−1+5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15688-8-800-40000−2+25−2−25-4442−252+25−2+252−25−2−252+254ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ5900000000000000000000001−51+50000−1+5−1−51−5−1+51+5−1−5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15788-8-800-40000−2+25−2−25-4442−252+25−2+252−25−2−252+25−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ5900000000000000000000001−51+50000−1+5−1−51−5−1+51+5−1−52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1598-88-800-40000−2−25−2+254-442+252−252+25−2−252−25−2+25−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ4700000000000000000000001+51−50000−1−5−1+5−1−51+5−1+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-88-800-40000−2−25−2+254-442+252−252+25−2−252−25−2+254ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ4700000000000000000000001+51−50000−1−5−1+5−1−51+5−1+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-88-800-40000−2+25−2−254-442−252+252−25−2+252+25−2−254ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ59−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ5900000000000000000000001−51+50000−1+5−1−5−1+51−5−1−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-88-800-40000−2+25−2−254-442−252+252−25−2+252+25−2−25−4ζ7+4ζ23+4ζ43−4ζ474ζ7−4ζ23−4ζ43+4ζ47−4ζ11+4ζ19−4ζ31+4ζ594ζ11−4ζ19+4ζ31−4ζ594ζ7−4ζ23−4ζ43+4ζ47−4ζ7+4ζ23+4ζ43−4ζ474ζ11−4ζ19+4ζ31−4ζ59−4ζ11+4ζ19−4ζ31+4ζ5900000000000000000000001−51+50000−1+5−1−5−1+51−5−1−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.