Finite Group Databasebeta

← Group #13157501

Character table — Group #13157501

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order12223344666666366612121212412121212121212121212246688121224242424246612128843666331212666666366612121212121212121212121212121261266242412122424242461266121224241236663312126666663666121212121212121212121212121212612662424121224242424612661212242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1-1-11-111-1-1-1-1-11111111111111111111111111111111111111-1-111-1-1-1-11-111-1-1-1-1-11111111111111111111111111111111111111-1-111-1-1-1-11-111-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-11111-11-1-111-1-1-1111111111111111111111111111111111-1-1-1-111-1-11111-11-1-111-1-1-1111111111111111111111111111111111-1-1-1-111-1-11111-11-1-111-1-1-1
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
χ51111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
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χ1322222-1222-12-1-12-1-1-1-12-1-12-211-2-2-1-1111122-1-100-1-10000-20110000022222-1222-12-1-12-1-1-1-12-1-12-211-2-2-1-1111122-1-100-1-10000-20110000022222-1222-12-1-12-1-1-1-12-1-12-211-2-2-1-1111122-1-100-1-10000-201100000
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χ202222-1222-12-122-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-10000-2-20011110-200110002222-1222-12-122-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-10000-2-20011110-200110002222-1222-12-122-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-10000-2-20011110-20011000
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χ591111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1−1+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−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+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+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32
χ601111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1-11−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ611111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-11−1+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−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+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+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−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ621111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1+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−i32−1+i32−1+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+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+i32−1−i32−1−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−i321+i32
χ63222222-2-22222222222-2-2-2-200000-2-200002-22200-2-20000000000000−1+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−i3000001−i31−i30000−1+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+i3000001+i31+i30000−1−i31+i3−1−i3−1−i3001+i31+i30000000000000
χ64222222-2-22222222222-2-2-2-200000-2-20000-22-2-200220000000000000−1+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−i3000001−i31−i300001−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+i3000001+i31+i300001+i3−1−i31+i31+i300−1−i3−1−i30000000000000
χ6522222-1222-12-1-12-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-100-1-1000020-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−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−i320000−1+i301−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+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+i320000−1−i301+i321+i3200000
χ6622222-1222-12-1-12-1-1-1-12-1-122-1-122-1-1-1-1-1-1-2-21100110000-201100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−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+i3200001−i30−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+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−i3200001+i30−1−i32−1−i3200000
χ6722222-1222-12-1-12-1-1-1-12-1-12-211-2-2-1-1111122-1-100-1-10000-201100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i32001−i321−i3200001−i30−1+i32−1+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i32001+i321+i3200001+i30−1−i32−1−i3200000
χ6822222-1222-12-1-12-1-1-1-12-1-12-211-2-2-1-11111-2-2110011000020-1-100000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3200−1+i32−1+i320000−1+i301−i321−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3200−1−i32−1−i320000−1−i301+i321+i3200000
χ6922222-1-2-22-12-1-12-1-1-1-1-211-20−i3i30011−i3−i3i3i32-2-1-10011000000−i3i300000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i303+i32−3−i3200−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i31−i31−i321−i3200−1+i32−1+i320000003+i32−3−i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i30−3+i323−i3200−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i31+i31+i321+i3200−1−i32−1−i32000000−3+i323−i3200000
χ7022222-1-2-22-12-1-12-1-1-1-1-211-20−i3i30011−i3−i3i3i3-221100-1-1000000i3−i300000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i303+i32−3−i3200−1+i32−1+i323+i323+i32−3−i32−3−i321−i3−1+i3−1+i32−1+i32001−i321−i32000000−3−i323+i3200000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i30−3+i323−i3200−1−i32−1−i32−3+i32−3+i323−i323−i321+i3−1−i3−1−i32−1−i32001+i321+i320000003−i32−3+i3200000
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χ117222222-2-22222222222-2-2-2-200000-2-200002-22200-2-20000000000000−1−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+i3000001+i31+i30000−1−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−i3000001−i31−i30000−1+i31−i3−1+i3−1+i3001−i31−i30000000000000
χ118222222-2-22222222222-2-2-2-200000-2-20000-22-2-200220000000000000−1−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+i3000001+i31+i300001+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−i3000001−i31−i300001−i3−1+i31−i31−i300−1+i3−1+i30000000000000
χ11922222-1222-12-1-12-1-1-1-12-1-122-1-122-1-1-1-1-1-122-1-100-1-1000020-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+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+i320000−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−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−i320000−1+i301−i321−i3200000
χ12022222-1222-12-1-12-1-1-1-12-1-122-1-122-1-1-1-1-1-1-2-21100110000-201100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+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−i3200001+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−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+i3200001−i30−1+i32−1+i3200000
χ12122222-1222-12-1-12-1-1-1-12-1-12-211-2-2-1-1111122-1-100-1-10000-201100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i32001+i321+i3200001+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i32001−i321−i3200001−i30−1+i32−1+i3200000
χ12222222-1222-12-1-12-1-1-1-12-1-12-211-2-2-1-11111-2-2110011000020-1-100000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i3200−1−i32−1−i320000−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i3200−1+i32−1+i320000−1+i301−i321−i3200000
χ12322222-1-2-22-12-1-12-1-1-1-1-211-20−i3i30011−i3−i3i3i32-2-1-10011000000−i3i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i30−3+i323−i3200−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i31+i31+i321+i3200−1−i32−1−i32000000−3+i323−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i303+i32−3−i3200−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i31−i31−i321−i3200−1+i32−1+i320000003+i32−3−i3200000
χ12422222-1-2-22-12-1-12-1-1-1-1-211-20−i3i30011−i3−i3i3i3-221100-1-1000000i3−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i30−3+i323−i3200−1−i32−1−i32−3+i32−3+i323−i323−i321+i3−1−i3−1−i32−1−i32001+i321+i320000003−i32−3+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i303+i32−3−i3200−1+i32−1+i323+i323+i32−3−i32−3−i321−i3−1+i3−1+i32−1+i32001−i321−i32000000−3−i323+i3200000
χ12522222-1-2-22-12-1-12-1-1-1-1-211-20i3−i30011i3i3−i3−i32-2-1-10011000000i3−i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i303−i32−3+i3200−1−i32−1−i323−i323−i32−3+i32−3+i32−1−i31+i31+i321+i3200−1−i32−1−i320000003−i32−3+i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i30−3−i323+i3200−1+i32−1+i32−3−i32−3−i323+i323+i32−1+i31−i31−i321−i3200−1+i32−1+i32000000−3−i323+i3200000
χ12622222-1-2-22-12-1-12-1-1-1-1-211-20i3−i30011i3i3−i3−i3-221100-1-1000000−i3i300000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i321+i32−1−i31+i321+i321+i321+i321+i3−1−i32−1−i321+i303−i32−3+i3200−1−i32−1−i323−i323−i32−3+i32−3+i321+i3−1−i3−1−i32−1−i32001+i321+i32000000−3+i323−i3200000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i321−i32−1+i31−i321−i321−i321−i321−i3−1+i32−1+i321−i30−3−i323+i3200−1+i32−1+i32−3−i32−3−i323+i323+i321−i3−1+i3−1+i32−1+i32001−i321−i320000003+i32−3−i3200000
χ1272222-1222-12-122-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-100002200-1-1-1-10200-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+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+i320−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−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−i320−1+i3001−i321−i32000
χ1282222-1222-12-122-1-1-1-1-1-122-1222-1-1-1-1-1-1-1-10000-2-20011110-20011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+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−i3201+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−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+i3201−i300−1+i32−1+i32000
χ1292222-1222-12-122-1-1-1-1-1-122-1-2-2-211-1-1111100002200-1-1-1-10-20011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i3−1−i3001+i321+i321+i321+i3201+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i3−1+i3001−i321−i321−i321−i3201−i300−1+i32−1+i32000
χ1302222-1222-12-122-1-1-1-1-1-122-1-2-2-211-1-111110000-2-20011110200-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i31+i300−1−i32−1−i32−1−i32−1−i320−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i31−i300−1+i32−1+i32−1+i32−1+i320−1+i3001−i321−i32000
χ1312-2-22222-2-2-22-22-22-22-222-2-2000002-200000000000000000000002i−2i0−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i300000−1−i31+i300000000000000000000002ζ22−2ζ220−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i300000−1+i31−i300000000000000000000002ζ14−2ζ140
χ1322-2-22222-2-2-22-22-22-22-222-2-2000002-20000000000000000000000−2i2i0−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i300000−1−i31+i30000000000000000000000−2ζ222ζ220−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i300000−1+i31−i30000000000000000000000−2ζ142ζ140
χ1332-2-2222-22-2-22-22-22-22-2-2-22200000-22000000002-20022-2-2000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000001+i3−1−i300000000−1−i31+i300−1−i3−1−i31+i31+i3000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000001−i3−1+i300000000−1+i31−i300−1+i3−1+i31−i31−i3000000000
χ1342-2-2222-22-2-22-22-22-22-2-2-22200000-2200000000-2200-2-222000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000001+i3−1−i3000000001+i3−1−i3001+i31+i3−1−i3−1−i3000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000001−i3−1+i3000000001−i3−1+i3001−i31−i3−1+i3−1+i3000000000
χ1352-2-22-12-221-2-1-221-11-111-22-10003−31-13−33−300002-200-1-11100003−3000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i3−1−i321+i31+i321+i3−1−i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i3−1−i31+i320002ζ14+ζ22−2ζ14−ζ22−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000−1−i31+i3001+i321+i32−1−i32−1−i3200002ζ14+ζ22−2ζ14−ζ22000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i3−1+i321−i31−i321−i3−1+i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i3−1+i31−i32000−ζ14−2ζ22ζ14+2ζ22−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000−1+i31−i3001−i321−i32−1+i32−1+i320000−ζ14−2ζ22ζ14+2ζ22000
χ1362-2-22-12-221-2-1-221-11-111-22-10003−31-13−33−30000-220011-1-10000−33000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i3−1−i321+i31+i321+i3−1−i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i3−1−i31+i320002ζ14+ζ22−2ζ14−ζ22−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200001+i3−1−i300−1−i32−1−i321+i321+i320000−2ζ14−ζ222ζ14+ζ22000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i3−1+i321−i31−i321−i3−1+i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i3−1+i31−i32000−ζ14−2ζ22ζ14+2ζ22−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200001−i3−1+i300−1+i32−1+i321−i321−i320000ζ14+2ζ22−ζ14−2ζ22000
χ1372-2-22-12-221-2-1-221-11-111-22-1000−331-1−33−3300002-200-1-1110000−33000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i3−1−i321+i31+i321+i3−1−i3−1−i321+i32−1−i321+i32−1−i32−1−i321+i3−1−i31+i32000−2ζ14−ζ222ζ14+ζ22−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000−1−i31+i3001+i321+i32−1−i32−1−i320000−2ζ14−ζ222ζ14+ζ22000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i3−1+i321−i31−i321−i3−1+i3−1+i321−i32−1+i321−i32−1+i32−1+i321−i3−1+i31−i32000ζ14+2ζ22−ζ14−2ζ22−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000−1+i31−i3001−i321−i32−1+i32−1+i320000ζ14+2ζ22−ζ14−2ζ22000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.