Finite Group Databasebeta

← Group #11792787

Character table — Group #11792787

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222444444444444444488888888888824242424242424241111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order12222222223666666622226666666666662444661212121212122444444436666666663666666666666666666666666121212661212121212126121212121212123666666666366666666666666666666666612121266121212121212612121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-111-1-1
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χ60111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111−1+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
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χ632222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200000000
χ642222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000
χ652222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000
χ662222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000
χ6722222-2-22-2-2222222220000-2-2-2-2000000002-20022-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000−1+i31−i300−1+i3−1+i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000−1−i31+i300−1−i3−1−i31+i31+i3000000000000
χ6822222-2-22-2-2222222220000-2-2-2-200000000-2200-2-222000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i3000000001−i3−1+i3001−i31−i3−1+i3−1+i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i3000000001+i3−1−i3001+i31+i3−1−i3−1−i3000000000000
χ6922222-2-22-2-2-1-1-1-1-1-1-1-100001111−i3−i3−i3−i3i3i3i3i32-200-1-111−i3−i3i3i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i323+i323+i323+i323+i32−3−i32−3−i32−3−i32−3−i32−1+i31−i3001−i321−i32−1+i32−1+i323+i323+i32−3−i32−3−i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−3+i32−3+i32−3+i32−3+i323−i323−i323−i323−i32−1−i31+i3001+i321+i32−1−i32−1−i32−3+i32−3+i323−i323−i3200000000
χ7022222-2-22-2-2-1-1-1-1-1-1-1-100001111−i3−i3−i3−i3i3i3i3i3-220011-1-1i3i3−i3−i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i323+i323+i323+i323+i32−3−i32−3−i32−3−i32−3−i321−i3−1+i300−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i3200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−3+i32−3+i32−3+i32−3+i323−i323−i323−i323−i321+i3−1−i300−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i3200000000
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χ1192222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ1202222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200000000
χ12122222-2-22-2-2222222220000-2-2-2-2000000002-20022-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000−1−i31+i300−1−i3−1−i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000−1+i31−i300−1+i3−1+i31−i31−i3000000000000
χ12222222-2-22-2-2222222220000-2-2-2-200000000-2200-2-222000000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i3000000001+i3−1−i3001+i31+i3−1−i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i3000000001−i3−1+i3001−i31−i3−1+i3−1+i3000000000000
χ12322222-2-22-2-2-1-1-1-1-1-1-1-100001111−i3−i3−i3−i3i3i3i3i32-200-1-111−i3−i3i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−3+i32−3+i32−3+i32−3+i323−i323−i323−i323−i32−1−i31+i3001+i321+i32−1−i32−1−i32−3+i32−3+i323−i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i323+i323+i323+i323+i32−3−i32−3−i32−3−i32−3−i32−1+i31−i3001−i321−i32−1+i32−1+i323+i323+i32−3−i32−3−i3200000000
χ12422222-2-22-2-2-1-1-1-1-1-1-1-100001111−i3−i3−i3−i3i3i3i3i3-220011-1-1i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−3+i32−3+i32−3+i32−3+i323−i323−i323−i323−i321+i3−1−i300−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i323+i323+i323+i323+i32−3−i32−3−i32−3−i32−3−i321−i3−1+i300−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i3200000000
χ12522222-2-22-2-2-1-1-1-1-1-1-1-100001111i3i3i3i3−i3−i3−i3−i32-200-1-111i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i323−i323−i323−i323−i32−3+i32−3+i32−3+i32−3+i32−1−i31+i3001+i321+i32−1−i32−1−i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−3−i32−3−i32−3−i32−3−i323+i323+i323+i323+i32−1+i31−i3001−i321−i32−1+i32−1+i32−3−i32−3−i323+i323+i3200000000
χ12622222-2-22-2-2-1-1-1-1-1-1-1-100001111i3i3i3i3−i3−i3−i3−i3-220011-1-1−i3−i3i3i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i323−i323−i323−i323−i32−3+i32−3+i32−3+i32−3+i321+i3−1−i300−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i32−3−i32−3−i32−3−i32−3−i323+i323+i323+i323+i321−i3−1+i300−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i3200000000
χ1272222-22-2-22-2222-2-22-2-2000022-2-20000000000000000000002-200000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i3−1−i31+i31+i3000000000000000000000−1−i31+i300000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i3−1+i31−i31−i3000000000000000000000−1+i31−i300000
χ1282222-22-2-22-2222-2-22-2-2000022-2-2000000000000000000000-2200000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000−1−i3−1−i31+i31+i30000000000000000000001+i3−1−i300000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i30000−1+i3−1+i31−i31−i30000000000000000000001−i3−1+i300000
χ1292222-2-22-2-22222-2-22-2-20000-2-22200000000000000000000200-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300001+i31+i3−1−i3−1−i300000000000000000000−1−i3001+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300001−i31−i3−1+i3−1+i300000000000000000000−1+i3001−i30000
χ1302222-2-22-2-22222-2-22-2-20000-2-22200000000000000000000-20020000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300001+i31+i3−1−i3−1−i3000000000000000000001+i300−1−i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300001−i31−i3−1+i3−1+i3000000000000000000001−i300−1+i30000
χ1312-2-22222-2-2-22-2-2222-2-200002-22-2000000000000000000000000002i−2i−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i3000000000000000000000000002ζ11−2ζ11−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i3000000000000000000000000002ζ7−2ζ7
χ1322-2-22222-2-2-22-2-2222-2-200002-22-200000000000000000000000000−2i2i−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i300000000000000000000000000−2ζ112ζ11−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i300000000000000000000000000−2ζ72ζ7
χ1332-2-222-2-2-2222-2-2222-2-20000-22-220000000000000000000000002-200−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i3000000000000000000000000−1−i31+i300−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i3000000000000000000000000−1+i31−i300
χ1342-2-222-2-2-2222-2-2222-2-20000-22-22000000000000000000000000-2200−1−i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i30000000000000000000000001+i3−1−i300−1+i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i30000000000000000000000001−i3−1+i300
χ1352-2-22-22-22-222-2-2-2-222222-2-22-2-2222-2-222-2-200000000000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000000000000000
χ1362-2-22-22-22-222-2-2-2-2222-2-2222-2-22-2-222-2-22200000000000000000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i300000000000000000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i300000000000000000000
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χ1402-2-22-22-22-22-11111-1-1-1-2-222-111-111-1-111-1-10000i3−i3i3−i3−i3i3−i3i300000000−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i3200003−i32−3+i323−i32−3+i32−3+i323−i32−3+i323−i3200000000−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i320000−3−i323+i32−3−i323+i323+i32−3−i323+i32−3−i3200000000
χ1412-2-22-2-2222-22-2-2-2-22220000-222-200000000002-200002-2-2200000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i300001+i3−1−i3−1−i31+i30000000000−1−i31+i30000−1−i31+i31+i3−1−i300000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i300001−i3−1+i3−1+i31−i30000000000−1+i31−i30000−1+i31−i31−i3−1+i300000000
χ1422-2-22-2-2222-22-2-2-2-22220000-222-20000000000-220000-222-200000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i300001+i3−1−i3−1−i31+i300000000001+i3−1−i300001+i3−1−i3−1−i31+i300000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i300001−i3−1+i3−1+i31−i300000000001−i3−1+i300001−i3−1+i3−1+i31−i300000000
χ1432-2-22-2-2222-2-11111-1-1-100001-1-11−i3−i3i3i3i3i3−i3−i3002-2−i3i3i3−i3-111-100000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i320000−1−i321+i321+i32−1−i32−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i3200−1−i31+i3−3+i323−i323−i32−3+i321+i32−1−i32−1−i321+i3200000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i320000−1+i321−i321−i32−1+i323+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i3200−1+i31−i33+i32−3−i32−3−i323+i321−i32−1+i32−1+i321−i3200000000
χ1442-2-22-2-2222-2-11111-1-1-100001-1-11−i3−i3i3i3i3i3−i3−i300-22i3−i3−i3i31-1-1100000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i320000−1−i321+i321+i32−1−i32−3+i32−3+i323−i323−i323−i323−i32−3+i32−3+i32001+i3−1−i33−i32−3+i32−3+i323−i32−1−i321+i321+i32−1−i3200000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i320000−1+i321−i321−i32−1+i323+i323+i32−3−i32−3−i32−3−i32−3−i323+i323+i32001−i3−1+i3−3−i323+i323+i32−3−i32−1+i321−i321−i32−1+i3200000000
χ1452-2-22-2-2222-2-11111-1-1-100001-1-11i3i3−i3−i3−i3−i3i3i3002-2i3−i3−i3i3-111-100000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i320000−1−i321+i321+i32−1−i323−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i3200−1−i31+i33−i32−3+i32−3+i323−i321+i32−1−i32−1−i321+i3200000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i320000−1+i321−i321−i32−1+i32−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i3200−1+i31−i3−3−i323+i323+i32−3−i321−i32−1+i32−1+i321−i3200000000
χ1462-2-22-2-2222-2-11111-1-1-100001-1-11i3i3−i3−i3−i3−i3i3i300-22−i3i3i3−i31-1-1100000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i320000−1−i321+i321+i32−1−i323−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i32001+i3−1−i3−3+i323−i323−i32−3+i32−1−i321+i321+i32−1−i3200000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i320000−1+i321−i321−i32−1+i32−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i32001−i3−1+i33+i32−3−i32−3−i323+i32−1+i321−i321−i32−1+i3200000000
χ1474444-44-4-44-4-2-2-222-2220000-2-2220000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3−2−2i32+2i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i300001+i31+i3−1−i3−1−i30000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3−2+2i32−2i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i300001−i31−i3−1+i3−1+i30000000000000000000000000000
χ1484444-4-44-4-44-2-2-222-222000022-2-20000000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i31+i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i30000−1−i3−1−i31+i31+i30000000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i31−i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i30000−1+i3−1+i31−i31−i30000000000000000000000000000
χ14944-4-400000044-400-4002-22-200002-22-22-22-200000000000000000000−2−2i3−2−2i32+2i32+2i3000000−2−2i3−2−2i32+2i3002+2i300−1−i31+i3−1−i31+i30000−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i300000000000000000000−2+2i3−2+2i32−2i32−2i3000000−2+2i3−2+2i32−2i3002−2i300−1+i31−i3−1+i31−i30000−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i300000000000000000000
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χ1554-44-40000004-4400-4002-2-2200002-2-222-2-2200000000000000000000−2−2i32+2i3−2−2i32+2i3000000−2−2i32+2i3−2−2i3002+2i300−1−i31+i31+i3−1−i30000−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i300000000000000000000−2+2i32−2i3−2+2i32−2i3000000−2+2i32−2i3−2+2i3002−2i300−1+i31−i31−i3−1+i30000−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i300000000000000000000
χ1564-44-40000004-4400-400-222-20000-222-2-222-200000000000000000000−2−2i32+2i3−2−2i32+2i3000000−2−2i32+2i3−2−2i3002+2i3001+i3−1−i3−1−i31+i300001+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i300000000000000000000−2+2i32−2i3−2+2i32−2i3000000−2+2i32−2i3−2+2i3002−2i3001−i3−1+i3−1+i31−i300001−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i300000000000000000000
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χ1624-4-444-4-4-444-222-2-2-22200002-22-20000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i30000−1−i31+i3−1−i31+i30000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i30000−1+i31−i3−1+i31−i30000000000000000000000000000

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