Finite Group Databasebeta

← Group #13158346

Character table — Group #13158346

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
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χ311111111111111111111111111111111111111111111-11-11-1-111-1-111-1-1-1-111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-1-1-111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111111111111111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111111111111111-11-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
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χ7222222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10-20-2001100110000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3201−i301−i300−1+i32−1+i3200−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3201+i301+i300−1−i32−1−i3200−1−i32−1−i320000
χ7322222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-1-2-211-1-1-1-11111020-200-1-100110000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i321−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320−1+i301−i3001−i321−i3200−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i321+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320−1−i301+i3001+i321+i3200−1−i32−1−i320000
χ7422222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-1-2-211-1-1-1-111110-202001100-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i321−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3201−i30−1+i300−1+i32−1+i32001−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i321+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3201+i30−1−i300−1−i32−1−i32001+i321+i320000
χ7522222-1-2-22-12-12-12-1-222-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000−i3i300−i3i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000003+i32−3−i32003+i32−3−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−3+i323−i3200−3+i323−i320000
χ7622222-1-2-22-12-12-12-1-222-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000i3−i300i3−i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−3−i323+i3200−3−i323+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000003−i32−3+i32003−i32−3+i320000
χ7722222-1-2-22-12-12-1-2-12-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000−i3i300i3−i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i32−1+i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000003+i32−3−i3200−3−i323+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i32−1−i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000−3+i323−i32003−i32−3+i320000
χ7822222-1-2-22-12-12-1-2-12-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000i3−i300−i3i30000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i32−1+i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−3−i323+i32003+i32−3−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i32−1−i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000003−i32−3+i3200−3+i323−i320000
χ792222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12020-1-100-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i30−1+i301−i321−i32001−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i30−1−i301+i321+i32001+i321+i32000000
χ802222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-20-20110011000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i301−i30−1+i32−1+i3200−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i301+i30−1−i32−1−i3200−1−i32−1−i32000000
χ812222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-12211-2-2-1-1-1-1111120-20-1-10011000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i301−i301−i321−i3200−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i301+i301+i321+i3200−1−i32−1−i32000000
χ822222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-12211-2-2-1-1-1-11111-20201100-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i30−1+i30−1+i32−1+i32001−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i30−1−i30−1−i32−1−i32001+i321+i32000000
χ832222-12-2-2-12-12-122-1-2-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000−i3i300−i3i3000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200003+i32−3−i32003+i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−3+i323−i3200−3+i323−i32000000
χ842222-12-2-2-12-12-122-1-2-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000i3−i300i3−i3000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−3−i323+i3200−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200003−i32−3+i32003−i32−3+i32000000
χ852222-12-2-2-12-12-12-2-1211-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000−i3i300i3−i3000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i31−i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3200003+i32−3−i3200−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i31+i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000−3+i323−i32003−i32−3+i32000000
χ862222-12-2-2-12-12-12-2-1211-2-2-1-11111-111-2-2-1-1221111-1-1-1-10000i3−i300−i3i3000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i31−i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i31−i31−i321−i32−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−i323+i32003+i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i31+i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i31+i31+i321+i32−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200003−i32−3+i3200−3+i323−i32000000
χ8722-2-2222-2-2-222-2-20200000-2-2000022-22-2000022-2-20000000000000000002i−2i−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i30−1+i3000001−i31−i30000−1+i3−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i30000000000000000002ζ7−2ζ7−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i30−1−i3000001+i31+i30000−1−i3−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i30000000000000000002ζ11−2ζ11
χ8822-2-2222-2-2-222-2-20200000-2-2000022-22-2000022-2-2000000000000000000−2i2i−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i30−1+i3000001−i31−i30000−1+i3−1+i31−i3−1+i31−i30000−1+i3−1+i31−i31−i3000000000000000000−2ζ72ζ7−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i30−1−i3000001+i31+i30000−1−i3−1−i31+i3−1−i31+i30000−1−i3−1−i31+i31+i3000000000000000000−2ζ112ζ11
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χ130222222-2-2222222-222-2-2-2-222-2-2-2-22-2-2-2-22222-2-2-2-222220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i30000000000000000
χ13122222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1020200-1-100-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320−1−i30−1−i3001+i321+i32001+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320−1+i30−1+i3001−i321−i32001−i321−i320000
χ13222222-1222-12-12-12-1222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10-20-2001100110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3201+i301+i300−1−i32−1−i3200−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3201−i301−i300−1+i32−1+i3200−1+i32−1+i320000
χ13322222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-1-2-211-1-1-1-11111020-200-1-100110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i321+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320−1−i301+i3001+i321+i3200−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i321−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320−1+i301−i3001−i321−i3200−1+i32−1+i320000
χ13422222-1222-12-12-1-2-1-2-2-211-1-11111-122-1-1-2-211-1-1-1-111110-202001100-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i321+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i3−1−i31+i321+i321+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3201+i30−1−i300−1−i32−1−i32001+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i321−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i3−1+i31−i321−i321−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3201−i30−1+i300−1+i32−1+i32001−i321−i320000
χ13522222-1-2-22-12-12-12-1-222-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000−i3i300−i3i30000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000−3+i323−i3200−3+i323−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000003+i32−3−i32003+i32−3−i320000
χ13622222-1-2-22-12-12-12-1-222-1-1-1-1-1-1-1-1-1-2-211-2-21111111111000000i3−i300i3−i30000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000003−i32−3+i32003−i32−3+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000−3−i323+i3200−3−i323+i320000
χ13722222-1-2-22-12-12-1-2-12-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000−i3i300i3−i30000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i32−1−i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000−3+i323−i32003−i32−3+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i32−1+i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000003+i32−3−i3200−3−i323+i320000
χ13822222-1-2-22-12-12-1-2-12-2-211-1-11111-1-2-21122-1-11111-1-1-1-1000000i3−i300−i3i30000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i31+i32−1−i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i31+i3−1−i32−1−i32−1−i3−1−i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i320000003−i32−3+i3200−3+i323−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i31−i32−1+i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i31−i3−1+i32−1+i32−1+i3−1+i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000−3−i323+i32003+i32−3−i320000
χ1392222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12020-1-100-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i30−1−i301+i321+i32001+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i30−1+i301−i321−i32001−i321−i32000000
χ1402222-1222-12-12-122-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-20-20110011000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i301+i30−1−i32−1−i3200−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i301−i30−1+i32−1+i3200−1+i32−1+i32000000
χ1412222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-12211-2-2-1-1-1-1111120-20-1-10011000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i301+i301+i321+i3200−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i301−i301−i321−i3200−1+i32−1+i32000000
χ1422222-1222-12-12-12-2-1-211-2-2-1-11111-1-1-12211-2-2-1-1-1-11111-20201100-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i3−1−i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i30−1−i30−1−i32−1−i32001+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i3−1+i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i30−1+i30−1+i32−1+i32001−i321−i32000000
χ1432222-12-2-2-12-12-122-1-2-1-122-1-1-1-1-1-1-111-2-211-2-2111111110000−i3i300−i3i3000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i31+i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−3+i323−i3200−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i31−i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200003+i32−3−i32003+i32−3−i32000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.