Finite Group Databasebeta

← Group #13157521

Character table — Group #13157521

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order122233446666663666121212124121212121212121212124488121212122424242444121212128843666331212666666366612121212121212121212121212121212122424121212122424242412121212121224241236663312126666663666121212121212121212121212121212121224241212121224242424121212121212242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-111111111111111111111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-111111111111111111111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-111111-111-1-1-1-1-1111111111111111111111111111111111-1-111-1-1-1-111111-111-1-1-1-1-1111111111111111111111111111111111-1-111-1-1-1-111111-111-1-1-1-1-1
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
χ51111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-11
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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χ1322222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-100000-2001100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-100000-2001100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-100000-20011000
χ1422222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100000200-1-100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100000200-1-100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100000200-1-1000
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χ1622222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-220011-1-100000000i3−i300022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-220011-1-100000000i3−i300022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-220011-1-100000000i3−i3000
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χ1822222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-220011-1-100000000−i3i300022222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-220011-1-100000000−i3i300022222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-220011-1-100000000−i3i3000
χ192222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100220000-1-1-1-120-1-1000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100220000-1-1-1-120-1-1000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100220000-1-1-1-120-1-100000
χ202222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100-2-200001111-2011000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100-2-200001111-2011000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100-2-200001111-201100000
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χ222222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100-2-20000111120-1-1000002222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100-2-20000111120-1-1000002222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100-2-20000111120-1-100000
χ2322-2-2222-222-2-2-2-22-22-2-22-22000002-20000002-2000022-2-200000000022-2-2222-222-2-2-2-22-22-2-22-22000002-20000002-2000022-2-200000000022-2-2222-222-2-2-2-22-22-2-22-22000002-20000002-2000022-2-2000000000
χ2422-2-2222-222-2-2-2-22-22-2-22-22000002-2000000-220000-2-22200000000022-2-2222-222-2-2-2-22-22-2-22-22000002-2000000-220000-2-22200000000022-2-2222-222-2-2-2-22-22-2-22-22000002-2000000-220000-2-222000000000
χ2522-2-222-2222-2-2-2-22-22-22-22-200000-2200000000000000000000002-2022-2-222-2222-2-2-2-22-22-22-22-200000-2200000000000000000000002-2022-2-222-2222-2-2-2-22-22-22-22-200000-2200000000000000000000002-20
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χ5611111111111111111111111111111111111-1-11111-1-1-1-1-11-1-111-1-1-1−1+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ57111111111111111111111111111111111-1-111-1-1-1-111111-111-1-1-1-1-1−1+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−i32−1+i32−1+i321−i321−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+i32−1−i32−1−i321+i321+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
χ591111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1−1+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
χ601111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-11−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+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+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ611111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-11−1+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−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−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+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ621111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1+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
χ63222222-2-22222222222-2-2-2-200000-2-200002-20022-2-20000000000000−1+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−i300−1+i3−1+i31−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+i300−1−i3−1−i31+i31+i30000000000000
χ64222222-2-22222222222-2-2-2-200000-2-20000-2200-2-2220000000000000−1+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+i3001−i31−i3−1+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−i3001+i31+i3−1−i3−1−i30000000000000
χ6522222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12200-1-1-1-100000200-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3001−i321−i321−i321−i3200000−1+i3001−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3001+i321+i321+i321+i3200000−1−i3001+i321+i32000
χ6622222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-200111100000-20011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i300−1+i32−1+i32−1+i32−1+i32000001−i300−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i300−1−i32−1−i32−1−i32−1−i32000001+i300−1−i32−1−i32000
χ6722222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-100000-20011000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i321−i321−i321−i32000001−i300−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i321+i321+i321+i32000001+i300−1−i32−1−i32000
χ6822222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100000200-1-1000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i32−1+i32−1+i32−1+i3200000−1+i3001−i321−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i32−1−i32−1−i32−1−i3200000−1−i3001+i321+i32000
χ6922222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i32-200-1-11100000000−i3i3000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30003+i32−3−i32−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i31−i3001−i321−i32−1+i32−1+i32000000003+i32−3−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000−3+i323−i32−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i31+i3001+i321+i32−1−i32−1−i3200000000−3+i323−i32000
χ7022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-220011-1-100000000i3−i3000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30003+i32−3−i32−1+i32−1+i323+i323+i32−3−i32−3−i321−i3−1+i300−1+i32−1+i321−i321−i3200000000−3−i323+i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000−3+i323−i32−1−i32−1−i32−3+i32−3+i323−i323−i321+i3−1−i300−1−i32−1−i321+i321+i32000000003−i32−3+i32000
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χ7222222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-220011-1-100000000−i3i3000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000−3−i323+i32−1+i32−1+i32−3−i32−3−i323+i323+i321−i3−1+i300−1+i32−1+i321−i321−i32000000003+i32−3−i32000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i30003−i32−3+i32−1−i32−1−i323−i323−i32−3+i32−3+i321+i3−1−i300−1−i32−1−i321+i321+i3200000000−3+i323−i32000
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χ1161111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−1−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
χ117222222-2-22222222222-2-2-2-200000-2-200002-20022-2-20000000000000−1−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+i300−1−i3−1−i31+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−i300−1+i3−1+i31−i31−i30000000000000
χ118222222-2-22222222222-2-2-2-200000-2-20000-2200-2-2220000000000000−1−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−i3001+i31+i3−1−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+i3001−i31−i3−1+i3−1+i30000000000000
χ11922222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-12200-1-1-1-100000200-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3001+i321+i321+i321+i3200000−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3001−i321−i321−i321−i3200000−1+i3001−i321−i32000
χ12022222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-200111100000-20011000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i300−1−i32−1−i32−1−i32−1−i32000001+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i300−1+i32−1+i32−1+i32−1+i32000001−i300−1+i32−1+i32000
χ12122222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-111112200-1-1-1-100000-20011000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i321+i321+i321+i32000001+i300−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i321−i321−i321−i32000001−i300−1+i32−1+i32000
χ12222222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-200111100000200-1-1000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i31+i321+i32−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i32−1−i32−1−i32−1−i3200000−1−i3001+i321+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i31−i321−i32−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i32−1+i32−1+i32−1+i3200000−1+i3001−i321−i32000
χ12322222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i32-200-1-11100000000−i3i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000−3+i323−i32−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i31+i3001+i321+i32−1−i32−1−i3200000000−3+i323−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30003+i32−3−i32−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i31−i3001−i321−i32−1+i32−1+i32000000003+i32−3−i32000
χ12422222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-220011-1-100000000i3−i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i3000−3+i323−i32−1−i32−1−i32−3+i32−3+i323−i323−i321+i3−1−i300−1−i32−1−i321+i321+i32000000003−i32−3+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i30003+i32−3−i32−1+i32−1+i323+i323+i32−3−i32−3−i321−i3−1+i300−1+i32−1+i321−i321−i3200000000−3−i323+i32000
χ12522222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i32-200-1-11100000000i3−i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i30003−i32−3+i32−1−i32−1−i323−i323−i32−3+i32−3+i32−1−i31+i3001+i321+i32−1−i32−1−i32000000003−i32−3+i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000−3−i323+i32−1+i32−1+i32−3−i32−3−i323+i323+i32−1+i31−i3001−i321−i32−1+i32−1+i3200000000−3−i323+i32000
χ12622222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-220011-1-100000000−i3i3000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i30003−i32−3+i32−1−i32−1−i323−i323−i32−3+i32−3+i321+i3−1−i300−1−i32−1−i321+i321+i3200000000−3+i323−i32000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i3000−3−i323+i32−1+i32−1+i32−3−i32−3−i323+i323+i321−i3−1+i300−1+i32−1+i321−i321−i32000000003+i32−3−i32000
χ1272222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100220000-1-1-1-120-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i300001+i321+i321+i321+i32−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i300001−i321−i321−i321−i32−1+i301−i321−i3200000
χ1282222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100-2-200001111-201100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i31+i30000−1−i32−1−i32−1−i32−1−i321+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i31−i30000−1+i32−1+i32−1+i32−1+i321−i30−1+i32−1+i3200000
χ1292222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100220000-1-1-1-1-201100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i300001+i321+i321+i321+i321+i30−1−i32−1−i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i300001−i321−i321−i321−i321−i30−1+i32−1+i3200000
χ1302222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100-2-20000111120-1-100000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i30000−1−i32−1−i32−1−i32−1−i32−1−i301+i321+i3200000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i30000−1+i32−1+i32−1+i32−1+i32−1+i301−i321−i3200000
χ13122-2-2222-222-2-2-2-22-22-2-22-22000002-20000002-2000022-2-2000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i300000−1−i31+i3000000−1−i31+i30000−1−i3−1−i31+i31+i3000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300000−1+i31−i3000000−1+i31−i30000−1+i3−1+i31−i31−i3000000000
χ13222-2-2222-222-2-2-2-22-22-2-22-22000002-2000000-220000-2-222000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i300000−1−i31+i30000001+i3−1−i300001+i31+i3−1−i3−1−i3000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i300000−1+i31−i30000001−i3−1+i300001−i31−i3−1+i3−1+i3000000000
χ13322-2-222-2222-2-2-2-22-22-22-22-200000-2200000000000000000000002-20−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000001+i3−1−i30000000000000000000000−1−i31+i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000001−i3−1+i30000000000000000000000−1+i31−i30
χ13422-2-222-2222-2-2-2-22-22-22-22-200000-220000000000000000000000-220−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i3−1−i31+i3000001+i3−1−i300000000000000000000001+i3−1−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i3−1+i31−i3000001−i3−1+i300000000000000000000001−i3−1+i30
χ13522-2-2-122-2-121-21-2-11-1112-2-103−300-113−33−3002-20000-1-111003−300000−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i32−1−i3−1−i321+i3−1−i321+i31+i32−1−i321+i32−1−i32−1−i32−1−i31+i31+i3202ζ14+ζ22−2ζ14−ζ22001+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200−1−i31+i300001+i321+i32−1−i32−1−i32002ζ14+ζ22−2ζ14−ζ2200000−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i32−1+i3−1+i321−i3−1+i321−i31−i32−1+i321−i32−1+i32−1+i32−1+i31−i31−i320−ζ14−2ζ22ζ14+2ζ22001−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200−1+i31−i300001−i321−i32−1+i32−1+i3200−ζ14−2ζ22ζ14+2ζ2200000
χ13622-2-2-122-2-121-21-2-11-1112-2-103−300-113−33−300-22000011-1-100−3300000−1−i3−1−i31+i31+i31+i32−1−i3−1−i31+i31+i32−1−i3−1−i321+i3−1−i321+i31+i32−1−i321+i32−1−i32−1−i32−1−i31+i31+i3202ζ14+ζ22−2ζ14−ζ22001+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22001+i3−1−i30000−1−i32−1−i321+i321+i3200−2ζ14−ζ222ζ14+ζ2200000−1+i3−1+i31−i31−i31−i32−1+i3−1+i31−i31−i32−1+i3−1+i321−i3−1+i321−i31−i32−1+i321−i32−1+i32−1+i32−1+i31−i31−i320−ζ14−2ζ22ζ14+2ζ22001−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22001−i3−1+i30000−1+i32−1+i321−i321−i3200ζ14+2ζ22−ζ14−2ζ2200000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.