Finite Group Databasebeta

← Group #13157496

Character table — Group #13157496

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order1222334466666636661212121241212121212121212121224668812122424242444121212128843666331212666666366612121212121212121212121212121261266242412122424242412121212121224241236663312126666663666121212121212121212121212121212612662424121224242424121212121212242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1-1-11-1-1-111-1-1-11111111111111111111111111111111111111-1-111-1-1-1-11-1-1-111-1-1-11111111111111111111111111111111111111-1-111-1-1-1-11-1-1-111-1-1-1
χ3111111111111111111111111111111111-1-1-1-111-1-11111-1111-1-1-1-1-1111111111111111111111111111111111-1-1-1-111-1-11111-1111-1-1-1-1-1111111111111111111111111111111111-1-1-1-111-1-11111-1111-1-1-1-1-1
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
χ61111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-11
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
χ9222222-2-22222222222-2-2-2-200000-2-200002-22200-2-20000000000000222222-2-22222222222-2-2-2-200000-2-200002-22200-2-20000000000000222222-2-22222222222-2-2-2-200000-2-200002-22200-2-20000000000000
χ10222222-2-22222222222-2-2-2-200000-2-20000-22-2-200220000000000000222222-2-22222222222-2-2-2-200000-2-20000-22-2-200220000000000000222222-2-22222222222-2-2-2-200000-2-20000-22-2-200220000000000000
χ1122222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-100-1-100002000-1-100022222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-100-1-100002000-1-100022222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-100-1-100002000-1-1000
χ1222222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-21100110000-20001100022222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-21100110000-20001100022222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-21100110000-200011000
χ1322222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-1111122-1-100-1-10000-20001100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-1111122-1-100-1-10000-20001100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-1111122-1-100-1-10000-200011000
χ1422222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-211001100002000-1-100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-211001100002000-1-100022222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-211001100002000-1-1000
χ1522222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i32-2-1-1001100000000−i3i300022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i32-2-1-1001100000000−i3i300022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i32-2-1-1001100000000−i3i3000
χ1622222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-221100-1-100000000i3−i300022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-221100-1-100000000i3−i300022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-221100-1-100000000i3−i3000
χ1722222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i32-2-1-1001100000000i3−i300022222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i32-2-1-1001100000000i3−i300022222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i32-2-1-1001100000000i3−i3000
χ1822222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-221100-1-100000000−i3i300022222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-221100-1-100000000−i3i300022222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-221100-1-100000000−i3i3000
χ192222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100002200-1-1-1-102-1-1000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100002200-1-1-1-102-1-1000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100002200-1-1-1-102-1-100000
χ202222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-211000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-211000002222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-21100000
χ212222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100002200-1-1-1-10-211000002222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100002200-1-1-1-10-211000002222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100002200-1-1-1-10-21100000
χ222222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-111110000-2-200111102-1-1000002222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-111110000-2-200111102-1-1000002222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-111110000-2-200111102-1-100000
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χ252-22-222-22-2-2-2-2222-22-2-2-22200000-2200000000000000000000002-202-22-222-22-2-2-2-2222-22-2-2-22200000-2200000000000000000000002-202-22-222-22-2-2-2-2222-22-2-2-22200000-2200000000000000000000002-20
χ262-22-222-22-2-2-2-2222-22-2-2-22200000-220000000000000000000000-2202-22-222-22-2-2-2-2222-22-2-2-22200000-220000000000000000000000-2202-22-222-22-2-2-2-2222-22-2-2-22200000-220000000000000000000000-220
χ272-22-2-122-21-21-2-12-11-11-12-2103−300-113−33−300002i−2i00−i−iii00−i3i3000002-22-2-122-21-21-2-12-11-11-12-2103−300-113−33−300002i−2i00−i−iii00−i3i3000002-22-2-122-21-21-2-12-11-11-12-2103−300-113−33−300002i−2i00−i−iii00−i3i300000
χ282-22-2-122-21-21-2-12-11-11-12-2103−300-113−33−30000−2i2i00ii−i−i00i3−i3000002-22-2-122-21-21-2-12-11-11-12-2103−300-113−33−30000−2i2i00ii−i−i00i3−i3000002-22-2-122-21-21-2-12-11-11-12-2103−300-113−33−30000−2i2i00ii−i−i00i3−i300000
χ292-22-2-122-21-21-2-12-11-11-12-210−3300-11−33−3300002i−2i00−i−iii00i3−i3000002-22-2-122-21-21-2-12-11-11-12-210−3300-11−33−3300002i−2i00−i−iii00i3−i3000002-22-2-122-21-21-2-12-11-11-12-210−3300-11−33−3300002i−2i00−i−iii00i3−i300000
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χ314444-24-4-4-24-24-24-2-2-2-22-4-42000002200000000000000000000000004444-24-4-4-24-24-24-2-2-2-22-4-42000002200000000000000000000000004444-24-4-4-24-24-24-2-2-2-22-4-4200000220000000000000000000000000
χ324444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-21111110000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-21111110000000000000000000004444-2-244-2-2-2-2-2-21111-2-2-2-24-2-2-2-2111111000000000000000000000
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χ344444-2-2-4-4-2-2-2-2-2-211112222000−2i32i3-1-1i3i3−i3−i30000000000000000000004444-2-2-4-4-2-2-2-2-2-211112222000−2i32i3-1-1i3i3−i3−i30000000000000000000004444-2-2-4-4-2-2-2-2-2-211112222000−2i32i3-1-1i3i3−i3−i3000000000000000000000
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χ3644-4-44400-4-444-4-44-4-4400000000000000000000000000000000000044-4-44400-4-444-4-44-4-4400000000000000000000000000000000000044-4-44400-4-444-4-44-4-44000000000000000000000000000000000000
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χ561111111111111111111111111111111111111-1-111-1-1-1-11-1-1-111-1-1-1−1+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ57111111111111111111111111111111111-1-1-1-111-1-11111-1111-1-1-1-1-1−1+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+i321−i32−1+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−i321+i32−1−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
χ601111111111111111111111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1-11−1+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+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+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−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ611111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-1-1-111-1-11−1+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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+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
χ63222222-2-22222222222-2-2-2-200000-2-200002-22200-2-20000000000000−1+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
χ6522222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-100-1-100002000-1-1000−1+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+i31−i321−i32001−i321−i320000−1+i30001−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−i31+i321+i32001+i321+i320000−1−i30001+i321+i32000
χ6622222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-21100110000-200011000−1+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−i3−1+i32−1+i3200−1+i32−1+i3200001−i3000−1+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+i3−1−i32−1−i3200−1−i32−1−i3200001+i3000−1−i32−1−i32000
χ6722222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-1111122-1-100-1-10000-200011000−1+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+i31−i321−i32001−i321−i3200001−i3000−1+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−i31+i321+i32001+i321+i3200001+i3000−1−i32−1−i32000
χ6822222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-211001100002000-1-1000−1+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−i3−1+i32−1+i3200−1+i32−1+i320000−1+i30001−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+i3−1−i32−1−i3200−1−i32−1−i320000−1−i30001+i321+i32000
χ6922222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i32-2-1-1001100000000−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−i31−i321−i3200−1+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+i31+i321+i3200−1−i32−1−i3200000000−3+i323−i32000
χ7022222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-221100-1-100000000i3−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+i3−1+i32−1+i32001−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−i3−1−i32−1−i32001+i321+i32000000003−i32−3+i32000
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χ7222222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-221100-1-100000000−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+i3−1+i32−1+i32001−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−i3−1−i32−1−i32001+i321+i3200000000−3+i323−i32000
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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
χ11922222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-122-1-100-1-100002000-1-1000−1−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−i31+i321+i32001+i321+i320000−1−i30001+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+i31−i321−i32001−i321−i320000−1+i30001−i321−i32000
χ12022222-1222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-2-21100110000-200011000−1−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+i3−1−i32−1−i3200−1−i32−1−i3200001+i3000−1−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−i3−1+i32−1+i3200−1+i32−1+i3200001−i3000−1+i32−1+i32000
χ12122222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-1111122-1-100-1-10000-200011000−1−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−i31+i321+i32001+i321+i3200001+i3000−1−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+i31−i321−i32001−i321−i3200001−i3000−1+i32−1+i32000
χ12222222-1222-12-12-1-1-1-1-12-1-12-2-2-211-1-11111-2-211001100002000-1-1000−1−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+i3−1−i32−1−i3200−1−i32−1−i320000−1−i30001+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−i3−1+i32−1+i3200−1+i32−1+i320000−1+i30001−i321−i32000
χ12322222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i32-2-1-1001100000000−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+i31+i321+i3200−1−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−i31−i321−i3200−1+i32−1+i32000000003+i32−3−i32000
χ12422222-1-2-22-12-12-1-1-1-1-1-211-2000−i3i311−i3−i3i3i3-221100-1-100000000i3−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−i3−1−i32−1−i32001+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+i3−1+i32−1+i32001−i321−i3200000000−3−i323+i32000
χ12522222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i32-2-1-1001100000000i3−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+i31+i321+i3200−1−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−i31−i321−i3200−1+i32−1+i3200000000−3−i323+i32000
χ12622222-1-2-22-12-12-1-1-1-1-1-211-2000i3−i311i3i3−i3−i3-221100-1-100000000−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−i3−1−i32−1−i32001+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+i3−1+i32−1+i32001−i321−i32000000003+i32−3−i32000
χ1272222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-100002200-1-1-1-102-1-100000−1−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+i320000−1−i3−1−i3001+i321+i321+i321+i320−1−i31+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−i320000−1+i3−1+i3001−i321−i321−i321−i320−1+i31−i321−i3200000
χ1282222-1222-12-12-12-1-1-1-1-122-12-1-122-1-1-1-1-1-10000-2-20011110-21100000−1−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+i3200001+i31+i300−1−i32−1−i32−1−i32−1−i3201+i3−1−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−i3200001−i31−i300−1+i32−1+i32−1+i32−1+i3201−i3−1+i32−1+i3200000
χ1292222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-1111100002200-1-1-1-10-21100000−1−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−i320000−1−i3−1−i3001+i321+i321+i321+i3201+i3−1−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+i320000−1+i3−1+i3001−i321−i321−i321−i3201−i3−1+i32−1+i3200000
χ1302222-1222-12-12-12-1-1-1-1-122-1-211-2-2-1-111110000-2-200111102-1-100000−1−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−i3200001+i31+i300−1−i32−1−i32−1−i32−1−i320−1−i31+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+i3200001−i31−i300−1+i32−1+i32−1+i32−1+i320−1+i31−i321−i3200000
χ1312-22-2222-2-2-2-2-2222-22-222-2-2000002-2000000002i−2i002i2i−2i−2i000000000−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i300000−1−i31+i3000000002ζ22−2ζ22002ζ222ζ22−2ζ22−2ζ22000000000−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i300000−1+i31−i3000000002ζ14−2ζ14002ζ142ζ14−2ζ14−2ζ14000000000
χ1322-22-2222-2-2-2-2-2222-22-222-2-2000002-200000000−2i2i00−2i−2i2i2i000000000−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i300000−1−i31+i300000000−2ζ222ζ2200−2ζ22−2ζ222ζ222ζ22000000000−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i300000−1+i31−i300000000−2ζ142ζ1400−2ζ14−2ζ142ζ142ζ14000000000
χ1332-22-222-22-2-2-2-2222-22-2-2-22200000-2200000000000000000000002-20−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000001+i3−1−i30000000000000000000000−1−i31+i30−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000001−i3−1+i30000000000000000000000−1+i31−i30
χ1342-22-222-22-2-2-2-2222-22-2-2-22200000-220000000000000000000000-220−1−i31+i3−1−i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000001+i3−1−i300000000000000000000001+i3−1−i30−1+i31−i3−1+i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000001−i3−1+i300000000000000000000001−i3−1+i30
χ1352-22-2-122-21-21-2-12-11-11-12-2103−300-113−33−300002i−2i00−i−iii00−i3i300000−1−i31+i3−1−i31+i31+i32−1−i3−1−i31+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i321+i32−1−i321+i32−1−i31+i3−1−i3202ζ14+ζ22−2ζ14−ζ22001+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ2200002ζ22−2ζ2200−ζ22−ζ22ζ22ζ2200−3+i323−i3200000−1+i31−i3−1+i31−i31−i32−1+i3−1+i31−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i321−i32−1+i321−i32−1+i31−i3−1+i320−ζ14−2ζ22ζ14+2ζ22001−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200002ζ14−2ζ1400−ζ14−ζ14ζ14ζ14003+i32−3−i3200000
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χ1372-22-2-122-21-21-2-12-11-11-12-210−3300-11−33−3300002i−2i00−i−iii00i3−i300000−1−i31+i3−1−i31+i31+i32−1−i3−1−i31+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i321+i32−1−i321+i32−1−i31+i3−1−i320−2ζ14−ζ222ζ14+ζ22001+i32−1−i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200002ζ22−2ζ2200−ζ22−ζ22ζ22ζ22003−i32−3+i3200000−1+i31−i3−1+i31−i31−i32−1+i3−1+i31−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i321−i32−1+i321−i32−1+i31−i3−1+i320ζ14+2ζ22−ζ14−2ζ22001−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ2200002ζ14−2ζ1400−ζ14−ζ14ζ14ζ1400−3−i323+i3200000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.