Finite Group Databasebeta

← Group #13173404

Character table — Group #13173404

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size112222244444444444444444444444444444444444444444444444444418183636363636108108108108112222244444444444444444444444444444444444444444444444444418183636363636108108108108
order122366633333346666666666666666661212121212121212121212121212121212121212121212121212444121212128888222666666666646666666666666666661212121212121212121212121212121212121212121212121212444121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i1111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1−i−iii1111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1−i−iii
χ51111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-11111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1
χ61111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-111111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-11-11
χ71111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii1111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111i−i−ii
χ81111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i1111111111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111−iii−i
χ9222-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-10000222-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-10000
χ10222-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211110000222-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211110000
χ11222-1-1-1-122-1-1-1-1-22222-1-1-1-1-1-1-1-122-1-1-1-111-2-2-2-2-2-2-2-2111111111111111122-2-1-1110000222-1-1-1-122-1-1-1-1-22222-1-1-1-1-1-1-1-122-1-1-1-111-2-2-2-2-2-2-2-2111111111111111122-2-1-1110000
χ12222-1-1-1-122-1-1-1-1-22222-1-1-1-1-1-1-1-122-1-1-1-111-2-2-2-2-2-2-2-21111111111111111-2-2211-1-10000222-1-1-1-122-1-1-1-1-22222-1-1-1-1-1-1-1-122-1-1-1-111-2-2-2-2-2-2-2-21111111111111111-2-2211-1-10000
χ1322-22-2-222222220-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000002-202-200000022-22-2-222222220-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000002-202-2000000
χ1422-22-2-222222220-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000-220-2200000022-22-2-222222220-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000000000-220-22000000
χ1522-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1−i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32-20-11−i3i3000022-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1−i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32-20-11−i3i30000
χ1622-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1−i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2201-1i3−i3000022-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1−i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2201-1i3−i30000
χ1722-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32-20-11i3−i3000022-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32-20-11i3−i30000
χ1822-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2201-1−i3i3000022-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2201-1−i3i30000
χ1944444441-211-2-2411-2-21111-2-2-2-21-211-2-2441111-2-2-2-21111-2-2-2-21111-2-2-2-20000000000044444441-211-2-2411-2-21111-2-2-2-21-211-2-2441111-2-2-2-21111-2-2-2-21111-2-2-2-200000000000
χ2044444441-211-2-2-411-2-21111-2-2-2-21-211-2-2-4-4-1-1-1-12222-1-1-1-12222-1-1-1-122220000000000044444441-211-2-2-411-2-21111-2-2-2-21-211-2-2-4-4-1-1-1-12222-1-1-1-12222-1-1-1-1222200000000000
χ214444444-21-2-2114-2-211-2-2-2-21111-21-2-21144-2-2-2-21111-2-2-2-21111-2-2-2-21111000000000004444444-21-2-2114-2-211-2-2-2-21111-21-2-21144-2-2-2-21111-2-2-2-21111-2-2-2-2111100000000000
χ224444444-21-2-211-4-2-211-2-2-2-21111-21-2-211-4-42222-1-1-1-12222-1-1-1-12222-1-1-1-1000000000004444444-21-2-211-4-2-211-2-2-2-21111-21-2-211-4-42222-1-1-1-12222-1-1-1-12222-1-1-1-100000000000
χ23444-2-2-2-21-2−1−3i32−1+3i3211411-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211-2-21111-2-2-2-2−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i32111100000000000444-2-2-2-21-2−1−3i32−1+3i3211411-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i3211-2-21111-2-2-2-2−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i32111100000000000
χ24444-2-2-2-21-2−1−3i32−1+3i3211-411-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i321122-1-1-1-122221+3i321+3i321−3i321−3i32-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-100000000000444-2-2-2-21-2−1−3i32−1+3i3211-411-2-2−1−3i32−1−3i32−1+3i32−1+3i3211111-2−1−3i32−1+3i321122-1-1-1-122221+3i321+3i321−3i321−3i32-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-100000000000
χ25444-2-2-2-21-2−1+3i32−1−3i3211411-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211-2-21111-2-2-2-2−1+3i32−1+3i32−1−3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i32111100000000000444-2-2-2-21-2−1+3i32−1−3i3211411-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i3211-2-21111-2-2-2-2−1+3i32−1+3i32−1−3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i32111100000000000
χ26444-2-2-2-21-2−1+3i32−1−3i3211-411-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i321122-1-1-1-122221−3i321−3i321+3i321+3i32-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-100000000000444-2-2-2-21-2−1+3i32−1−3i3211-411-2-2−1+3i32−1+3i32−1−3i32−1−3i3211111-2−1+3i32−1−3i321122-1-1-1-122221−3i321−3i321+3i321+3i32-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-100000000000
χ27444-2-2-2-2-2111−1−3i32−1+3i324-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-2-2-2-2-2-211111111−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i3200000000000444-2-2-2-2-2111−1−3i32−1+3i324-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32-2-2-2-2-2-211111111−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i3200000000000
χ28444-2-2-2-2-2111−1−3i32−1+3i32-4-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32222222-1-1-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-11+3i321+3i321−3i321−3i3200000000000444-2-2-2-2-2111−1−3i32−1+3i32-4-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32222222-1-1-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-11+3i321+3i321−3i321−3i3200000000000
χ29444-2-2-2-2-2111−1+3i32−1−3i324-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-2-2-2-2-211111111−1+3i32−1+3i32−1−3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i3200000000000444-2-2-2-2-2111−1+3i32−1−3i324-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-2-2-2-2-211111111−1+3i32−1+3i32−1−3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i3200000000000
χ30444-2-2-2-2-2111−1+3i32−1−3i32-4-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32222222-1-1-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-11−3i321−3i321+3i321+3i3200000000000444-2-2-2-2-2111−1+3i32−1−3i32-4-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32222222-1-1-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-11−3i321−3i321+3i321+3i3200000000000
χ3144-44-4-441-211-2-20-1-122-1-1-1-122221-211-2-20033-3-3000033-3-30000-3-33300000000000000044-44-4-441-211-2-20-1-122-1-1-1-122221-211-2-20033-3-3000033-3-30000-3-333000000000000000
χ3244-44-4-441-211-2-20-1-122-1-1-1-122221-211-2-200-3-3330000-3-333000033-3-300000000000000044-44-4-441-211-2-20-1-122-1-1-1-122221-211-2-200-3-3330000-3-333000033-3-3000000000000000
χ3344-44-4-44-21-2-211022-1-12222-1-1-1-1-21-2-21100000033-3-3000033-3-30000-3-3330000000000044-44-4-44-21-2-211022-1-12222-1-1-1-1-21-2-21100000033-3-3000033-3-30000-3-33300000000000
χ3444-44-4-44-21-2-211022-1-12222-1-1-1-1-21-2-211000000-3-3330000-3-333000033-3-30000000000044-44-4-44-21-2-211022-1-12222-1-1-1-1-21-2-211000000-3-3330000-3-333000033-3-300000000000
χ3544-4-222-21-2−1−3i32−1+3i32110-1-1221+3i321+3i321−3i321−3i32-1-1-1-11-2−1−3i32−1+3i3211−2i32i333-3-30000−3−i32−3−i323−i323−i32i3i3i3i33+i323+i32−3+i32−3+i32−i3−i3−i3−i30000000000044-4-222-21-2−1−3i32−1+3i32110-1-1221+3i321+3i321−3i321−3i32-1-1-1-11-2−1−3i32−1+3i3211−2i32i333-3-30000−3−i32−3−i323−i323−i32i3i3i3i33+i323+i32−3+i32−3+i32−i3−i3−i3−i300000000000
χ3644-4-222-21-2−1−3i32−1+3i32110-1-1221+3i321+3i321−3i321−3i32-1-1-1-11-2−1−3i32−1+3i32112i3−2i3-3-33300003+i323+i32−3+i32−3+i32−i3−i3−i3−i3−3−i32−3−i323−i323−i32i3i3i3i30000000000044-4-222-21-2−1−3i32−1+3i32110-1-1221+3i321+3i321−3i321−3i32-1-1-1-11-2−1−3i32−1+3i32112i3−2i3-3-33300003+i323+i32−3+i32−3+i32−i3−i3−i3−i3−3−i32−3−i323−i323−i32i3i3i3i300000000000
χ3744-4-222-21-2−1+3i32−1−3i32110-1-1221−3i321−3i321+3i321+3i32-1-1-1-11-2−1+3i32−1−3i3211−2i32i3-3-33300003−i323−i32−3−i32−3−i32i3i3i3i3−3+i32−3+i323+i323+i32−i3−i3−i3−i30000000000044-4-222-21-2−1+3i32−1−3i32110-1-1221−3i321−3i321+3i321+3i32-1-1-1-11-2−1+3i32−1−3i3211−2i32i3-3-33300003−i323−i32−3−i32−3−i32i3i3i3i3−3+i32−3+i323+i323+i32−i3−i3−i3−i300000000000
χ3844-4-222-21-2−1+3i32−1−3i32110-1-1221−3i321−3i321+3i321+3i32-1-1-1-11-2−1+3i32−1−3i32112i3−2i333-3-30000−3+i32−3+i323+i323+i32−i3−i3−i3−i33−i323−i32−3−i32−3−i32i3i3i3i30000000000044-4-222-21-2−1+3i32−1−3i32110-1-1221−3i321−3i321+3i321+3i32-1-1-1-11-2−1+3i32−1−3i32112i3−2i333-3-30000−3+i32−3+i323+i323+i32−i3−i3−i3−i33−i323−i32−3−i32−3−i32i3i3i3i300000000000
χ3944-4-222-2-2111−1−3i32−1+3i32022-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i32−2i32i3000033-3-3i3i3i3i3−3−i32−3−i323−i323−i32−i3−i3−i3−i33+i323+i32−3+i32−3+i320000000000044-4-222-2-2111−1−3i32−1+3i32022-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i32−2i32i3000033-3-3i3i3i3i3−3−i32−3−i323−i323−i32−i3−i3−i3−i33+i323+i32−3+i32−3+i3200000000000
χ4044-4-222-2-2111−1−3i32−1+3i32022-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i322i3−2i30000-3-333−i3−i3−i3−i33+i323+i32−3+i32−3+i32i3i3i3i3−3−i32−3−i323−i323−i320000000000044-4-222-2-2111−1−3i32−1+3i32022-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2111−1−3i32−1+3i322i3−2i30000-3-333−i3−i3−i3−i33+i323+i32−3+i32−3+i32i3i3i3i3−3−i32−3−i323−i323−i3200000000000
χ4144-4-222-2-2111−1+3i32−1−3i32022-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2111−1+3i32−1−3i32−2i32i30000-3-333i3i3i3i33−i323−i32−3−i32−3−i32−i3−i3−i3−i3−3+i32−3+i323+i323+i320000000000044-4-222-2-2111−1+3i32−1−3i32022-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2111−1+3i32−1−3i32−2i32i30000-3-333i3i3i3i33−i323−i32−3−i32−3−i32−i3−i3−i3−i3−3+i32−3+i323+i323+i3200000000000
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χ8622-2-111-122-1-1-1-10-2-2-2-21111111122-1-1-1-1i3−i300000000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32-20-11i3−i30000-2-221-1-11-2-2111102222-1-1-1-1-1-1-1-1-2-21111−i3i300000000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2201-1−i3i30000
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χ8844444441-211-2-2411-2-21111-2-2-2-21-211-2-2441111-2-2-2-21111-2-2-2-21111-2-2-2-200000000000-4-4-4-4-4-4-4-12-1-122-4-1-122-1-1-1-12222-12-1-122-4-4-1-1-1-12222-1-1-1-12222-1-1-1-1222200000000000
χ8944444441-211-2-2-411-2-21111-2-2-2-21-211-2-2-4-4-1-1-1-12222-1-1-1-12222-1-1-1-1222200000000000-4-4-4-4-4-4-4-12-1-1224-1-122-1-1-1-12222-12-1-122441111-2-2-2-21111-2-2-2-21111-2-2-2-200000000000
χ904444444-21-2-2114-2-211-2-2-2-21111-21-2-21144-2-2-2-21111-2-2-2-21111-2-2-2-2111100000000000-4-4-4-4-4-4-42-122-1-1-422-1-12222-1-1-1-12-122-1-1-4-42222-1-1-1-12222-1-1-1-12222-1-1-1-100000000000
χ914444444-21-2-211-4-2-211-2-2-2-21111-21-2-211-4-42222-1-1-1-12222-1-1-1-12222-1-1-1-100000000000-4-4-4-4-4-4-42-122-1-1422-1-12222-1-1-1-12-122-1-144-2-2-2-21111-2-2-2-21111-2-2-2-2111100000000000
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χ97444-2-2-2-2-2111−1−3i32−1+3i32-4-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32-2111−1−3i32−1+3i32222222-1-1-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-11+3i321+3i321−3i321−3i3200000000000-4-4-422222-1-1-11+3i321−3i32422-1-1-1-1-1-11+3i321+3i321−3i321−3i322-1-1-11+3i321−3i32-2-2-2-2-2-211111111−1−3i32−1−3i32−1+3i32−1+3i321111−1−3i32−1−3i32−1+3i32−1+3i3200000000000
χ98444-2-2-2-2-2111−1+3i32−1−3i324-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32-2-2-2-2-2-211111111−1+3i32−1+3i32−1−3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i3200000000000-4-4-422222-1-1-11−3i321+3i32-422-1-1-1-1-1-11−3i321−3i321+3i321+3i322-1-1-11−3i321+3i32222222-1-1-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-11−3i321−3i321+3i321+3i3200000000000
χ99444-2-2-2-2-2111−1+3i32−1−3i32-4-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32-2111−1+3i32−1−3i32222222-1-1-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-11−3i321−3i321+3i321+3i3200000000000-4-4-422222-1-1-11−3i321+3i32422-1-1-1-1-1-11−3i321−3i321+3i321+3i322-1-1-11−3i321+3i32-2-2-2-2-2-211111111−1+3i32−1+3i32−1−3i32−1−3i321111−1+3i32−1+3i32−1−3i32−1−3i3200000000000
χ10044-44-4-441-211-2-20-1-122-1-1-1-122221-211-2-20033-3-3000033-3-30000-3-333000000000000000-4-44-444-4-12-1-122011-2-21111-2-2-2-2-12-1-12200-3-3330000-3-333000033-3-3000000000000000
χ10144-44-4-441-211-2-20-1-122-1-1-1-122221-211-2-200-3-3330000-3-333000033-3-3000000000000000-4-44-444-4-12-1-122011-2-21111-2-2-2-2-12-1-1220033-3-3000033-3-30000-3-333000000000000000
χ10244-44-4-44-21-2-211022-1-12222-1-1-1-1-21-2-21100000033-3-3000033-3-30000-3-33300000000000-4-44-444-42-122-1-10-2-211-2-2-2-211112-122-1-1000000-3-3330000-3-333000033-3-300000000000
χ10344-44-4-44-21-2-211022-1-12222-1-1-1-1-21-2-211000000-3-3330000-3-333000033-3-300000000000-4-44-444-42-122-1-10-2-211-2-2-2-211112-122-1-100000033-3-3000033-3-30000-3-33300000000000
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χ1164-40400-44444440000000000000-4-4-4-4-4-40000000000000000000000000000000000000-440-4004-4-4-4-4-4-400000000000004444440000000000000000000000000000000000000
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χ1224-40-2−2i32i321-2−1−3i32−1+3i321103-300−3−i323+i32−3+i323−i32−i3i3i3−i3-121+3i321−3i32-1-100−33−3300−2323ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11−3i3i3−3ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113−33i−3i00000000000-44022i3−2i3-2-121+3i321−3i32-1-10-33003+i32−3−i323−i32−3+i32i3−i3−i3i31-2−1−3i32−1+3i3211003−33−30023−23−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ113i−3i−33−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−33−3i3i00000000000
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χ1254-40-2−2i32i3244-2-2-2-200000−2i32i32i3−2i32i3−2i3−2i32i3-4-422220000000000000000000000000000000000000-44022i3−2i3-2-4-42222000002i3−2i3−2i32i3−2i32i32i3−2i344-2-2-2-20000000000000000000000000000000000000
χ1264-40-2−2i32i32-2111−1−3i32−1+3i32000-33i3−i3−i3i33+i32−3−i323−i32−3+i322-1-1-11+3i321−3i320023−2300−33−33−33−3i3iζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000000-44022i3−2i3-22-1-1-11+3i321−3i320003-3−i3i3i3−i3−3−i323+i32−3+i323−i32-2111−1−3i32−1+3i3200−2323003−33−33−33i−3i−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000000
χ1274-40-2−2i32i32-2111−1−3i32−1+3i32000-33i3−i3−i3i33+i32−3−i323−i32−3+i322-1-1-11+3i321−3i3200−2323003−33−33−33i−3i−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−3i3i3−3−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000000-44022i3−2i3-22-1-1-11+3i321−3i320003-3−i3i3i3−i3−3−i323+i32−3+i323−i32-2111−1−3i32−1+3i320023−2300−33−33−33−3i3iζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ113i−3i−33ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000000
χ1284-40-2−2i32i32-2111−1+3i32−1−3i320003-3i3−i3−i3i3−3+i323−i32−3−i323+i322-1-1-11−3i321+3i32000023−233−3−333i−3i−332ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ1100000000000-44022i3−2i3-22-1-1-11−3i321+3i32000-33−i3i3i3−i33−i32−3+i323+i32−3−i32-2111−1+3i32−1−3i320000−2323−333−3−3i3i3−3−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ1100000000000
χ1294-40-2−2i32i32-2111−1+3i32−1−3i320003-3i3−i3−i3i3−3+i323−i32−3−i323+i322-1-1-11−3i321+3i320000−2323−333−3−3i3i3−3−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ113−33i−3i2ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ1100000000000-44022i3−2i3-22-1-1-11−3i321+3i32000-33−i3i3i3−i33−i32−3+i323+i32−3−i32-2111−1+3i32−1−3i32000023−233−3−333i−3i−332ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ11−33−3i3i−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ1100000000000
χ1304-40-22i3−2i321-2−1−3i32−1+3i32110-33003+i32−3−i323−i32−3+i32i3−i3−i3i3-121+3i321−3i32-1-1003−3−3323−2300−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−3i3i−3300000000000-4402−2i32i3-2-121+3i321−3i32-1-103-300−3−i323+i32−3+i323−i32−i3i3i3−i31-2−1−3i32−1+3i321100−333−3−232300ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113i−3i3−300000000000
χ1314-40-22i3−2i321-2−1−3i32−1+3i32110-33003+i32−3−i323−i32−3+i32i3−i3−i3i3-121+3i321−3i32-1-100−333−3−232300ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ113i−3i3−300000000000-4402−2i32i3-2-121+3i321−3i32-1-103-300−3−i323+i32−3+i323−i32−i3i3i3−i31-2−1−3i32−1+3i3211003−3−3323−2300−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11−3i3i−3300000000000
χ1324-40-22i3−2i321-2−1+3i32−1−3i321103-300−3+i323−i32−3−i323+i32i3−i3−i3i3-121−3i321+3i32-1-1003−33−30023−232ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−3i3i−332ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−333i−3i00000000000-4402−2i32i3-2-121−3i321+3i32-1-10-33003−i32−3+i323+i32−3−i32−i3i3i3−i31-2−1+3i32−1−3i321100−33−3300−2323−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113i−3i3−3−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−3−3i3i00000000000
χ1334-40-22i3−2i321-2−1+3i32−1−3i321103-300−3+i323−i32−3−i323+i32i3−i3−i3i3-121−3i321+3i32-1-100−33−3300−2323−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113i−3i3−3−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ113−3−3i3i00000000000-4402−2i32i3-2-121−3i321+3i32-1-10-33003−i32−3+i323+i32−3−i32−i3i3i3−i31-2−1+3i32−1−3i3211003−33−30023−232ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−3i3i−332ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11−333i−3i00000000000
χ1344-40-22i3−2i3244-2-2-2-2000002i3−2i3−2i32i3−2i32i32i3−2i3-4-422220000000000000000000000000000000000000-4402−2i32i3-2-4-4222200000−2i32i32i3−2i32i3−2i3−2i32i344-2-2-2-20000000000000000000000000000000000000
χ1354-40-22i3−2i32-2111−1−3i32−1+3i320003-3−i3i3i3−i3−3−i323+i32−3+i323−i322-1-1-11+3i321−3i32000023−233−3−33−3i3i−33−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ1100000000000-4402−2i32i3-22-1-1-11+3i321−3i32000-33i3−i3−i3i33+i32−3−i323−i32−3+i32-2111−1−3i32−1+3i320000−2323−333−33i−3i3−3ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ1100000000000
χ1364-40-22i3−2i32-2111−1−3i32−1+3i320003-3−i3i3i3−i3−3−i323+i32−3+i323−i322-1-1-11+3i321−3i320000−2323−333−33i−3i3−3ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ113−3−3i3i−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ1100000000000-4402−2i32i3-22-1-1-11+3i321−3i32000-33i3−i3−i3i33+i32−3−i323−i32−3+i32-2111−1−3i32−1+3i32000023−233−3−33−3i3i−33−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−333i−3iζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ1100000000000
χ1374-40-22i3−2i32-2111−1+3i32−1−3i32000-33−i3i3i3−i33−i32−3+i323+i32−3−i322-1-1-11−3i321+3i320023−2300−33−33−333i−3i−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000000-4402−2i32i3-22-1-1-11−3i321+3i320003-3i3−i3−i3i3−3+i323−i32−3−i323+i32-2111−1+3i32−1−3i3200−2323003−33−33−3−3i3i2ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000000
χ1384-40-22i3−2i32-2111−1+3i32−1−3i32000-33−i3i3i3−i33−i32−3+i323+i32−3−i322-1-1-11−3i321+3i3200−2323003−33−33−3−3i3i2ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ113i−3i3−32ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000000-4402−2i32i3-22-1-1-11−3i321+3i320003-3i3−i3−i3i3−3+i323−i32−3−i323+i32-2111−1+3i32−1−3i320023−2300−33−33−333i−3i−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−3i3i−33−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000000

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