Finite Group Databasebeta

← Group #13145719

Character table — Group #13145719

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
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order12233344666668812121212242424243333366666666666666666812121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424241616161648484848484848482266668824242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511-11111-1-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1-111-1-1i−iii−i−i
χ611-11111-1-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-11-1-111−ii−i−iii
χ711-11111-1-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1-111-1-1−ii−i−iii
χ811-11111-1-1-1111-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-11-1-111i−iii−i−i
χ92222222222222-2-22222-2-2-2-22222222222222222222222-2222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000
χ10222222-2-22222200-2-2-2-2000022222222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ11222222-2-22222200-2-2-2-2000022222222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ1222222-122-1-122-122222222222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1000000
χ1322222-122-1-122-122222222222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-21111000000
χ1422222-122-1-122-1-2-22222-2-2-2-22-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-22-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111111111100000000000000−i3i3−i3i3000000
χ1522222-122-1-122-1-2-22222-2-2-2-22-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-22-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111111111100000000000000i3−i3i3−i3000000
χ162222-1222222-122222-1-12222-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-1222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1
χ172222-1222222-122222-1-12222-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-1222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111
χ182222-1222222-12-2-222-1-1-2-2-2-2-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-1-222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111100000000000000000000−i3i3−i3i3
χ192222-1222222-12-2-222-1-1-2-2-2-2-12-1-1-12-1-1-122-1-1-1-1-1-1-12-1-1-1-222-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111100000000000000000000i3−i3i3−i3
χ20222-1222222-12222-1-122-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ21222-1222222-12222-1-122-1-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000
χ22222-1222222-122-2-2-1-1221111-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-1-2-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-111-2-21111-2-21111-2-2-2-211111111-2-21111-2-21111-2-2-2-21111111100003−33−33−33−3000000000000
χ23222-1222222-122-2-2-1-1221111-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-1-2-12-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-111-2-21111-2-21111-2-2-2-211111111-2-21111-2-21111-2-2-2-2111111110000−33−33−33−33000000000000
χ24222-122-2-222-1220011-2-233−3−3-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-101-21111-2-21111-2-21111-2-211113−30033−3−30033−3−300003333−3−3−3−30033−3−30033−3−300003333−3−3−3−3−i2i2−i2i2ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23000000000000
χ25222-122-2-222-1220011-2-233−3−3-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-101-21111-2-21111-2-21111-2-211113−30033−3−30033−3−300003333−3−3−3−30033−3−30033−3−300003333−3−3−3−3i2−i2i2−i2−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23−ζ5−ζ7−ζ13−ζ23ζ5+ζ7ζ13+ζ23000000000000
χ26222-122-2-222-1220011-2-2−3−333-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-101-21111-2-21111-2-21111-2-21111−3300−3−33300−3−3330000−3−3−3−3333300−3−33300−3−3330000−3−3−3−33333−i2i2−i2i2ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7000000000000
χ27222-122-2-222-1220011-2-2−3−333-1-12-1-1-12-1-1-1-122-1-1-1-1-1-12-1-101-21111-2-21111-2-21111-2-21111−3300−3−33300−3−3330000−3−3−3−3333300−3−33300−3−3330000−3−3−3−33333i2−i2i2−i2−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7−ζ13−ζ23−ζ5−ζ7ζ13+ζ23ζ5+ζ7000000000000
χ2822-22222-2-2-22222222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222000000000000000000000000
χ2922-2222-22-2-222200-2-222000022222-2-2-2-2-2-2-2-2-2-2-2-2222220222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000002−2−2222−2−2−2−222000000000000
χ3022-2222-22-2-222200-2-222000022222-2-2-2-2-2-2-2-2-2-2-2-2222220222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000−222−2−2−22222−2−2000000000000
χ3122-222-12-21122-12222-2-222222-1-1-1-1-2-2-2-2111111112-1-1-1-1-2-21-2-2111111112-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000−i3i3i3−i3000000
χ3222-222-12-21122-12222-2-222222-1-1-1-1-2-2-2-2111111112-1-1-1-1-2-21-2-2111111112-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000i3−i3−i3i3000000
χ3322-222-12-21122-1-2-222-2-2-2-2-2-22-1-1-1-1-2-2-2-2111111112-1-1-1-12-21-2-2111111112-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111110000000000002-2-1-111000000
χ3422-222-12-21122-1-2-222-2-2-2-2-2-22-1-1-1-1-2-2-2-2111111112-1-1-1-12-21-2-2111111112-122-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111000000000000-2211-1-1000000
χ3522-22-122-2-2-22-122222112222-12-1-1-1-2111-2-2111111-12-1-1-1-2-2-211-2-2111111-12-1-122-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000003−3−33
χ3622-22-122-2-2-22-122222112222-12-1-1-1-2111-2-2111111-12-1-1-1-2-2-211-2-2111111-12-1-122-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000−333−3
χ3722-22-122-2-2-22-12-2-22211-2-2-2-2-12-1-1-1-2111-2-2111111-12-1-1-12-2-211-2-2111111-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1111111-2-2-2-2-2-21111111111110000000000000000002i−2i−i−iii
χ3822-22-122-2-2-22-12-2-22211-2-2-2-2-12-1-1-1-2111-2-2111111-12-1-1-12-2-211-2-2111111-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111000000000000000000−2i2iii−i−i
χ3922-2-1222-2-2-2-12222-1-1-2-2-1-1-1-1-1-12-1-11-21111-2-21111-1-12-1-1-21-21111-2-2111122-1-1-1-122-1-1-1-111-2-21111-2-21111-2-2-2-21111111122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000−i3i3−i3i3i3−i3i3−i3000000000000
χ4022-2-1222-2-2-2-12222-1-1-2-2-1-1-1-1-1-12-1-11-21111-2-21111-1-12-1-1-21-21111-2-2111122-1-1-1-122-1-1-1-111-2-21111-2-21111-2-2-2-21111111122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000i3−i3i3−i3−i3i3−i3i3000000000000
χ4122-2-1222-2-2-2-122-2-2-1-1-2-21111-1-12-1-11-21111-2-21111-1-12-1-121-21111-2-2111122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-2111111112i2i−2i−2i−i−i−i−iiiii000000000000
χ4222-2-1222-2-2-2-122-2-2-1-1-2-21111-1-12-1-11-21111-2-21111-1-12-1-121-21111-2-2111122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-21111-2-2-2-211111111−2i−2i2i2iiiii−i−i−i−i000000000000
χ4322-2-122-22-2-2-12200112233−3−3-1-12-1-11-21111-2-21111-1-12-1-10-12-1-1-1-122-1-1-1-1-2-21111-2-21111−3300−3−33300−3−3330000−3−3−3−333330033−3−30033−3−300003333−3−3−3−32−2−22ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23000000000000
χ4422-2-122-22-2-2-12200112233−3−3-1-12-1-11-21111-2-21111-1-12-1-10-12-1-1-1-122-1-1-1-1-2-21111-2-21111−3300−3−33300−3−3330000−3−3−3−333330033−3−30033−3−300003333−3−3−3−3−222−2−ζ5+ζ7−ζ13+ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23−ζ5+ζ7−ζ13+ζ23000000000000
χ4522-2-122-22-2-2-122001122−3−333-1-12-1-11-21111-2-21111-1-12-1-10-12-1-1-1-122-1-1-1-1-2-21111-2-211113−30033−3−30033−3−300003333−3−3−3−300−3−33300−3−3330000−3−3−3−333332−2−22ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7000000000000
χ4622-2-122-22-2-2-122001122−3−333-1-12-1-11-21111-2-21111-1-12-1-10-12-1-1-1-122-1-1-1-1-2-21111-2-211113−30033−3−30033−3−300003333−3−3−3−300−3−33300−3−3330000−3−3−3−33333−222−2−ζ13+ζ23−ζ5+ζ7ζ13−ζ23ζ5−ζ7ζ13−ζ23ζ5−ζ7−ζ13+ζ23−ζ5+ζ7000000000000
χ4744444-2-4-4-2-244-200-4-4-4-400004-2-2-2-24444-2-2-2-2-2-2-2-24-2-2-2-20-42-4-422222222-42-4-42222222200000000000000000000000000000000000000000000000000000000000000000000000000
χ484444-24-4-4444-2400-4-4220000-24-2-2-24-2-2-244-2-2-2-2-2-2-24-2-2-20-4-422-4-42222222-422-4-422222200000000000000000000000000000000000000000000000000000000000000000000000000
χ494444-2-244-2-24-2-24444-2-24444-2-21114-2-2-2-2-2111111-2-211144-2-2-2-2-2111111-2-2-2-2-2-211111144-2-2-2-2-2-2-2-2-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000
χ504444-2-244-2-24-2-2-4-444-2-2-4-4-4-4-2-21114-2-2-2-2-2111111-2-2111-44-2-2-2-2-2111111-2-2-2-2-2-2111111-4-4222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ514444-2-2-4-4-2-24-2-200-4-4220000-2-21114-2-2-2-2-2111111-2-21110-422222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000003i3i−3i−3i3i3i−3i−3i3i3i−3i−3i0000000000003i3i−3i−3i3i3i−3i−3i3i3i−3i−3i000000000000000000000000
χ524444-2-2-4-4-2-24-2-200-4-4220000-2-21114-2-2-2-2-2111111-2-21110-422222-1-1-1-1-1-1222222-1-1-1-1-1-100000000000000−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i000000000000−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i000000000000000000000000
χ53444-24-244-2-2-24-244-2-244-2-2-2-2-21-211-24-2-211-2-21111-21-2114-2-2-2-211-2-211114-2-2-211-2-21111-2-244-2-2-2-2-2-21111-2-2-2-21111111144-2-2-2-2-2-21111-2-2-2-211111111000000000000000000000000
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χ1394-40-2-2-2002i3−2i322222−22−232323−232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7111−1−3i32−1+3i3200-33−i3i3−i3i33+i32−3−i32−3+i323−i32-1-1-11+3i321−3i32000−333i−3i−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22003−33−3−3i3i−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13−2ζ7−ζ232ζ7+ζ23−2ζ5−ζ132ζ5+ζ13ζ7+2ζ23−ζ7−2ζ23ζ5+2ζ13−ζ5−2ζ13−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ13+ζ23−2ζ13−ζ23−ζ13−2ζ23ζ13+2ζ232ζ5+ζ7−2ζ5−ζ7−ζ5−2ζ7ζ5+2ζ7000000000000000000000000
χ1404-40-2-2-2002i3−2i322222−22−2323−23232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7111−1+3i32−1−3i32003-3−i3i3−i3i3−3+i323−i323+i32−3−i32-1-1-11−3i321+3i320003−33i−3i3−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22003−33−33i−3i2ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ2200−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23−2ζ5−ζ132ζ5+ζ13−2ζ7−ζ232ζ7+ζ23ζ5+2ζ13−ζ5−2ζ13ζ7+2ζ23−ζ7−2ζ23−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+2ζ7+ζ13+2ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−ζ13−2ζ23ζ13+2ζ232ζ13+ζ23−2ζ13−ζ23−ζ5−2ζ7ζ5+2ζ72ζ5+ζ7−2ζ5−ζ7000000000000000000000000
χ1414-40-2-2-2002i3−2i3222−222223−2323−23−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23111−1+3i32−1−3i32003-3−i3i3−i3i3−3+i323−i323+i32−3−i32-1-1-11−3i321+3i32000−33−3i3i−33−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ2200−33−33−3i3i−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ2200−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ7−2ζ23ζ7+2ζ23−ζ5−2ζ13ζ5+2ζ132ζ7+ζ23−2ζ7−ζ232ζ5+ζ13−2ζ5−ζ132−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ72ζ5+ζ7ζ5+2ζ7−ζ5−2ζ7−2ζ13−ζ232ζ13+ζ23ζ13+2ζ23−ζ13−2ζ23000000000000000000000000
χ1424-40-2-2-2002i3−2i3222−222223−23−2323−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23111−1−3i32−1+3i3200-33−i3i3−i3i33+i32−3−i32−3+i323−i32-1-1-11+3i321−3i320003−3−3i3i3−3−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ2200−33−333i−3iζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ5−2ζ13ζ5+2ζ13−ζ7−2ζ23ζ7+2ζ232ζ5+ζ13−2ζ5−ζ132ζ7+ζ23−2ζ7−ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7−ζ5−2ζ7−2ζ5−ζ72ζ5+ζ7ζ13+2ζ23−ζ13−2ζ23−2ζ13−ζ232ζ13+ζ23000000000000000000000000
χ1434-40-2-2-2002i3−2i3222−2222−232323−23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7111−1−3i32−1+3i3200-33−i3i3−i3i33+i32−3−i32−3+i323−i32-1-1-11+3i321−3i32000−333i−3i−33ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22003−33−3−3i3i−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ2200−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ132ζ7+ζ23−2ζ7−ζ232ζ5+ζ13−2ζ5−ζ13−ζ7−2ζ23ζ7+2ζ23−ζ5−2ζ13ζ5+2ζ132−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ13−ζ232ζ13+ζ23ζ13+2ζ23−ζ13−2ζ23−2ζ5−ζ72ζ5+ζ7ζ5+2ζ7−ζ5−2ζ7000000000000000000000000
χ1444-40-2-2-2002i3−2i3222−2222−2323−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7111−1+3i32−1−3i32003-3−i3i3−i3i3−3+i323−i323+i32−3−i32-1-1-11−3i321+3i320003−33i−3i3−32ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ22003−33−33i−3i2ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ22006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ232ζ5+ζ13−2ζ5−ζ132ζ7+ζ23−2ζ7−ζ23−ζ5−2ζ13ζ5+2ζ13−ζ7−2ζ23ζ7+2ζ232−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23ζ13+2ζ23−ζ13−2ζ23−2ζ13−ζ232ζ13+ζ23ζ5+2ζ7−ζ5−2ζ7−2ζ5−ζ72ζ5+ζ7000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.