Finite Group Databasebeta

← Group #13158462

Character table — Group #13158462

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order122233446666663666121212122666666661212246688121224242424246612128843666331212666666366612121212666666666121261266242412122424242461266121224241236663312126666663666121212126666666661212612662424121224242424612661212242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1-1-1-11-1-111-1-1-11111111111111111111111111111111111111-1-111-1-1-1-1-11-1-111-1-1-11111111111111111111111111111111111111-1-111-1-1-1-1-11-1-111-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-111111-111-1-1-1-1-1111111111111111111111111111111111-1-1-1-111-1-111111-111-1-1-1-1-1111111111111111111111111111111111-1-1-1-111-1-111111-111-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1
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χ57111111111111111111111111111111111-1-1-1-111-1-111111-111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ58111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ591111111111111111111111-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ601111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ611111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ621111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32
χ63222222-2-22222222222-2-2-2-2000000000-2-22-22200-2-20000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000001−i31−i3−1+i31−i3−1+i3−1+i3001−i31−i30000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000001+i31+i3−1−i31+i3−1−i3−1−i3001+i31+i30000000000000
χ64222222-2-22222222222-2-2-2-2000000000-2-2-22-2-200220000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000001−i31−i31−i3−1+i31−i31−i300−1+i3−1+i30000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000001+i31+i31+i3−1−i31+i31+i300−1−i3−1−i30000000000000
χ6522222-1222-1-1-122-1-1-1-1-122-1222-1-1-1-1-1-1-1-100002200-1-1-1-120-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i3−1+i3001−i321−i321−i321−i32−1+i301−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i3−1−i3001+i321+i321+i321+i32−1−i301+i321+i3200000
χ6622222-1222-1-1-122-1-1-1-1-122-1222-1-1-1-1-1-1-1-10000-2-2001111-201100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i31−i300−1+i32−1+i32−1+i32−1+i321−i30−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i31+i300−1−i32−1−i32−1−i32−1−i321+i30−1−i32−1−i3200000
χ6722222-1222-1-1-122-1-1-1-1-122-1-2-2-2111111-1-100002200-1-1-1-1-201100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i3−1+i3001−i321−i321−i321−i321−i30−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i3−1−i3001+i321+i321+i321+i321+i30−1−i32−1−i3200000
χ6822222-1222-1-1-122-1-1-1-1-122-1-2-2-2111111-1-10000-2-200111120-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i301−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i301+i321+i3200000
χ692222-1222-1222-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-100-1-100000200-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32001−i321−i3200000−1+i3001−i321−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32001+i321+i3200000−1−i3001+i321+i32000
χ702222-1222-1222-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-1-2-211001100000-20011000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i3200−1+i32−1+i32000001−i300−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i3200−1−i32−1−i32000001+i300−1−i32−1−i32000
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χ117222222-2-22222222222-2-2-2-2000000000-2-22-22200-2-20000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000001+i31+i3−1−i31+i3−1−i3−1−i3001+i31+i30000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000001−i31−i3−1+i31−i3−1+i3−1+i3001−i31−i30000000000000
χ118222222-2-22222222222-2-2-2-2000000000-2-2-22-2-200220000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000001+i31+i31+i3−1−i31+i31+i300−1−i3−1−i30000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000001−i31−i31−i3−1+i31−i31−i300−1+i3−1+i30000000000000
χ11922222-1222-1-1-122-1-1-1-1-122-1222-1-1-1-1-1-1-1-100002200-1-1-1-120-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i3−1−i3001+i321+i321+i321+i32−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i3−1+i3001−i321−i321−i321−i32−1+i301−i321−i3200000
χ12022222-1222-1-1-122-1-1-1-1-122-1222-1-1-1-1-1-1-1-10000-2-2001111-201100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i31+i300−1−i32−1−i32−1−i32−1−i321+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i31−i300−1+i32−1+i32−1+i32−1+i321−i30−1+i32−1+i3200000
χ12122222-1222-1-1-122-1-1-1-1-122-1-2-2-2111111-1-100002200-1-1-1-1-201100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i320000−1−i3−1−i3001+i321+i321+i321+i321+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−1+i3−1+i3001−i321−i321−i321−i321−i30−1+i32−1+i3200000
χ12222222-1222-1-1-122-1-1-1-1-122-1-2-2-2111111-1-10000-2-200111120-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i3200001+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i3200001−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i301−i321−i3200000
χ1232222-1222-1222-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-100-1-100000200-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32001+i321+i3200000−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32001−i321−i3200000−1+i3001−i321−i32000
χ1242222-1222-1222-1-1-1-1-1-12-1-122-1-122-1-1-1-1-1-1-2-211001100000-20011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i3200−1−i32−1−i32000001+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i3200−1+i32−1+i32000001−i300−1+i32−1+i32000
χ1252222-1222-1222-1-1-1-1-1-12-1-12-211-2-21111-1-122-1-100-1-100000-20011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i3−1−i31+i321+i32001+i321+i32000001+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i3−1+i31−i321−i32001−i321−i32000001−i300−1+i32−1+i32000
χ1262222-1222-1222-1-1-1-1-1-12-1-12-211-2-21111-1-1-2-211001100000200-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i31+i3−1−i32−1−i3200−1−i32−1−i3200000−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i31−i3−1+i32−1+i3200−1+i32−1+i3200000−1+i3001−i321−i32000
χ1272222-12-2-2-1222-1-1-1-1-1-1-211-20−i3i300−i3−i3i3i3112-2-1-1001100000000−i3i3000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i30−3+i323−i3200−3+i32−3+i323−i323−i32−1−i32−1−i32−1−i31+i31+i321+i3200−1−i32−1−i3200000000−3+i323−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i303+i32−3−i32003+i323+i32−3−i32−3−i32−1+i32−1+i32−1+i31−i31−i321−i3200−1+i32−1+i32000000003+i32−3−i32000
χ1282222-12-2-2-1222-1-1-1-1-1-1-211-20−i3i300−i3−i3i3i311-221100-1-100000000i3−i3000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i30−3+i323−i3200−3+i32−3+i323−i323−i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32001+i321+i32000000003−i32−3+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i303+i32−3−i32003+i323+i32−3−i32−3−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32001−i321−i3200000000−3−i323+i32000
χ1292222-12-2-2-1222-1-1-1-1-1-1-211-20i3−i300i3i3−i3−i3112-2-1-1001100000000i3−i3000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i303−i32−3+i32003−i323−i32−3+i32−3+i32−1−i32−1−i32−1−i31+i31+i321+i3200−1−i32−1−i32000000003−i32−3+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30−3−i323+i3200−3−i32−3−i323+i323+i32−1+i32−1+i32−1+i31−i31−i321−i3200−1+i32−1+i3200000000−3−i323+i32000
χ1302222-12-2-2-1222-1-1-1-1-1-1-211-20i3−i300i3i3−i3−i311-221100-1-100000000−i3i3000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i303−i32−3+i32003−i323−i32−3+i32−3+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i32001+i321+i3200000000−3+i323−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30−3−i323+i3200−3−i32−3−i323+i323+i32−1+i32−1+i321−i3−1+i3−1+i32−1+i32001−i321−i32000000003+i32−3−i32000
χ13122-2-2222-2-2-2-222-22-2-2222-2-20000000002-20000000000000000002i−2i0−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000−1−i31+i30000000000000000002ζ22−2ζ220−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000−1+i31−i30000000000000000002ζ14−2ζ140
χ13222-2-2222-2-2-2-222-22-2-2222-2-20000000002-2000000000000000000−2i2i0−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000−1−i31+i3000000000000000000−2ζ222ζ220−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000−1+i31−i3000000000000000000−2ζ142ζ140
χ13322-2-222-22-2-2-222-22-2-22-2-222000000000-2200002-20022-2-2000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000001+i3−1−i30000−1−i31+i300−1−i3−1−i31+i31+i3000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000001−i3−1+i30000−1+i31−i300−1+i3−1+i31−i31−i3000000000
χ13422-2-222-22-2-2-222-22-2-22-2-222000000000-220000-2200-2-222000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000000001+i3−1−i300001+i3−1−i3001+i31+i3−1−i3−1−i3000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000000001−i3−1+i300001−i3−1+i3001−i31−i3−1+i3−1+i3000000000
χ13522-2-22-1-22-211-12-2-111-11-22-1000−i3i3−i3i3−i3i31-100002-200-1-11100−i3i300000−1−i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i3−1−i32−1−i321+i32−1−i31+i31+i32−1−i32−1−i321+i32−1−i321+i3−1−i31+i32000−3+i323−i32−3+i323−i32−3+i323−i32−1−i321+i320000−1−i31+i3001+i321+i32−1−i32−1−i3200−3+i323−i3200000−1+i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i3−1+i32−1+i321−i32−1+i31−i31−i32−1+i32−1+i321−i32−1+i321−i3−1+i31−i320003+i32−3−i323+i32−3−i323+i32−3−i32−1+i321−i320000−1+i31−i3001−i321−i32−1+i32−1+i32003+i32−3−i3200000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.