Finite Group Databasebeta

← Group #13150602

Character table — Group #13150602

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size111122226666666612121212181818181818181818181818181818181818111122226666666612121212181818181818181818181818181818181818111122226666666612121212181818181818181818181818181818181818111122226666666612121212181818181818181818181818181818181818
order12443612123366121212123612122466888812122424242424242424224466121266661212121266121224668888121224242424242424242244661212666612121212661212246688881212242424242424242422446612126666121212126612122466888812122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ511-1-111-1-11111-1-1-1-111-1-11-111i−ii−i-1-1ii−i−iii−i−i11-1-111-1-11111-1-1-1-111-1-11-111i−ii−i-1-1ii−i−iii−i−i11-1-111-1-11111-1-1-1-111-1-11-111i−ii−i-1-1ii−i−iii−i−i11-1-111-1-11111-1-1-1-111-1-11-111i−ii−i-1-1ii−i−iii−i−i
χ611-1-111-1-11111-1-1-1-111-1-11-111−ii−ii-1-1−i−iii−i−iii11-1-111-1-11111-1-1-1-111-1-11-111−ii−ii-1-1−i−iii−i−iii11-1-111-1-11111-1-1-1-111-1-11-111−ii−ii-1-1−i−iii−i−iii11-1-111-1-11111-1-1-1-111-1-11-111−ii−ii-1-1−i−iii−i−iii
χ711-1-111-1-11111-1-1-1-111-1-1-11-1-1i−i−ii11ii−i−i−i−iii11-1-111-1-11111-1-1-1-111-1-1-11-1-1i−i−ii11ii−i−i−i−iii11-1-111-1-11111-1-1-1-111-1-1-11-1-1i−i−ii11ii−i−i−i−iii11-1-111-1-11111-1-1-1-111-1-1-11-1-1i−i−ii11ii−i−i−i−iii
χ811-1-111-1-11111-1-1-1-111-1-1-11-1-1−iii−i11−i−iiiii−i−i11-1-111-1-11111-1-1-1-111-1-1-11-1-1−iii−i11−i−iiiii−i−i11-1-111-1-11111-1-1-1-111-1-1-11-1-1−iii−i11−i−iiiii−i−i11-1-111-1-11111-1-1-1-111-1-1-11-1-1−iii−i11−i−iiiii−i−i
χ9222222222-12-122-1-1-1-1-1-100000022000000-1-1-1-1222222222-12-122-1-1-1-1-1-100000022000000-1-1-1-1222222222-12-122-1-1-1-1-1-100000022000000-1-1-1-1222222222-12-122-1-1-1-1-1-100000022000000-1-1-1-1
χ10222222222-12-122-1-1-1-1-1-1000000-2-20000001111222222222-12-122-1-1-1-1-1-1000000-2-20000001111222222222-12-122-1-1-1-1-1-1000000-2-20000001111222222222-12-122-1-1-1-1-1-1000000-2-20000001111
χ1122222222-12-12-1-122-1-1-1-10000220000-1-1-1-1000022222222-12-12-1-122-1-1-1-10000220000-1-1-1-1000022222222-12-12-1-122-1-1-1-10000220000-1-1-1-1000022222222-12-12-1-122-1-1-1-10000220000-1-1-1-10000
χ1222222222-12-12-1-122-1-1-1-10000-2-200001111000022222222-12-12-1-122-1-1-1-10000-2-200001111000022222222-12-12-1-122-1-1-1-10000-2-200001111000022222222-12-12-1-122-1-1-1-10000-2-2000011110000
χ1322-2-222-2-22-12-1-2-211-1-1110000002i−2i000000−i−iii22-2-222-2-22-12-1-2-211-1-1110000002i−2i000000−i−iii22-2-222-2-22-12-1-2-211-1-1110000002i−2i000000−i−iii22-2-222-2-22-12-1-2-211-1-1110000002i−2i000000−i−iii
χ1422-2-222-2-22-12-1-2-211-1-111000000−2i2i000000ii−i−i22-2-222-2-22-12-1-2-211-1-111000000−2i2i000000ii−i−i22-2-222-2-22-12-1-2-211-1-111000000−2i2i000000ii−i−i22-2-222-2-22-12-1-2-211-1-111000000−2i2i000000ii−i−i
χ1522-2-222-2-2-12-1211-2-2-1-11100002i−2i0000−i−iii000022-2-222-2-2-12-1211-2-2-1-11100002i−2i0000−i−iii000022-2-222-2-2-12-1211-2-2-1-11100002i−2i0000−i−iii000022-2-222-2-2-12-1211-2-2-1-11100002i−2i0000−i−iii0000
χ1622-2-222-2-2-12-1211-2-2-1-1110000−2i2i0000ii−i−i000022-2-222-2-2-12-1211-2-2-1-1110000−2i2i0000ii−i−i000022-2-222-2-2-12-1211-2-2-1-1110000−2i2i0000ii−i−i000022-2-222-2-2-12-1211-2-2-1-1110000−2i2i0000ii−i−i0000
χ172-22i−2i2-22i−2i22-2-22i−2i2i−2i2-22i−2i0000000000000000002-22i−2i2-22i−2i22-2-22i−2i2i−2i2-22i−2i0000000000000000002-22i−2i2-22i−2i22-2-22i−2i2i−2i2-22i−2i0000000000000000002-22i−2i2-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000000000
χ182-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ232-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ192-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ202-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ212-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ222-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i0000000000000000002-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i0000000000000000002-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i0000000000000000002-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000000000
χ232-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ242-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ252-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ262-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ2744444444-2-2-2-2-2-2-2-2111100000000000000000044444444-2-2-2-2-2-2-2-2111100000000000000000044444444-2-2-2-2-2-2-2-2111100000000000000000044444444-2-2-2-2-2-2-2-21111000000000000000000
χ2844-4-444-4-4-2-2-2-2222211-1-100000000000000000044-4-444-4-4-2-2-2-2222211-1-100000000000000000044-4-444-4-4-2-2-2-2222211-1-100000000000000000044-4-444-4-4-2-2-2-2222211-1-1000000000000000000
χ294-44i−4i4-44i−4i-2-222−2i2i−2i2i1-1i−i0000000000000000004-44i−4i4-44i−4i-2-222−2i2i−2i2i1-1i−i0000000000000000004-44i−4i4-44i−4i-2-222−2i2i−2i2i1-1i−i0000000000000000004-44i−4i4-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000000000
χ304-4−4i4i4-4−4i4i-2-2222i−2i2i−2i1-1−ii0000000000000000004-4−4i4i4-4−4i4i-2-2222i−2i2i−2i1-1−ii0000000000000000004-4−4i4i4-4−4i4i-2-2222i−2i2i−2i1-1−ii0000000000000000004-4−4i4i4-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000000000
χ316666-3-3-3-300000000000022-1-10000-1-1000000006666-3-3-3-300000000000022-1-10000-1-1000000006666-3-3-3-300000000000022-1-10000-1-1000000006666-3-3-3-300000000000022-1-10000-1-100000000
χ326666-3-3-3-3000000000000-2-211000011000000006666-3-3-3-3000000000000-2-211000011000000006666-3-3-3-3000000000000-2-211000011000000006666-3-3-3-3000000000000-2-21100001100000000
χ3366-6-6-3-3330000000000002-2-1-10000110000000066-6-6-3-3330000000000002-2-1-10000110000000066-6-6-3-3330000000000002-2-1-10000110000000066-6-6-3-3330000000000002-2-1-100001100000000
χ3466-6-6-3-333000000000000-22110000-1-10000000066-6-6-3-333000000000000-22110000-1-10000000066-6-6-3-333000000000000-22110000-1-10000000066-6-6-3-333000000000000-22110000-1-100000000
χ356-66i−6i-33−3i3i00000000000000−i3i300003−3000000006-66i−6i-33−3i3i00000000000000−i3i300003−3000000006-66i−6i-33−3i3i00000000000000−i3i300003−3000000006-66i−6i-33−3i3i00000000000000−i3i300003−300000000
χ366-66i−6i-33−3i3i00000000000000i3−i30000−33000000006-66i−6i-33−3i3i00000000000000i3−i30000−33000000006-66i−6i-33−3i3i00000000000000i3−i30000−33000000006-66i−6i-33−3i3i00000000000000i3−i30000−3300000000
χ376-6−6i6i-333i−3i00000000000000−i3i30000−33000000006-6−6i6i-333i−3i00000000000000−i3i30000−33000000006-6−6i6i-333i−3i00000000000000−i3i30000−33000000006-6−6i6i-333i−3i00000000000000−i3i30000−3300000000
χ386-6−6i6i-333i−3i00000000000000i3−i300003−3000000006-6−6i6i-333i−3i00000000000000i3−i300003−3000000006-6−6i6i-333i−3i00000000000000i3−i300003−3000000006-6−6i6i-333i−3i00000000000000i3−i300003−300000000
χ3911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ40111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111
χ4111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ4211111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ4311-1-111-1-11111-1-1-1-111-1-11-111i−ii−i-1-1ii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-111-11-1-1−ii−ii11−i−iii−i−iii11-1-111-1-11111-1-1-1-111-1-11-111i−ii−i-1-1ii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-111-11-1-1−ii−ii11−i−iii−i−iii
χ4411-1-111-1-11111-1-1-1-111-1-11-111−ii−ii-1-1−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-111-11-1-1i−ii−i11ii−i−iii−i−i11-1-111-1-11111-1-1-1-111-1-11-111−ii−ii-1-1−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-111-11-1-1i−ii−i11ii−i−iii−i−i
χ4511-1-111-1-11111-1-1-1-111-1-1-11-1-1i−i−ii11ii−i−i−i−iii-1-111-1-111-1-1-1-11111-1-1111-111−iii−i-1-1−i−iiiii−i−i11-1-111-1-11111-1-1-1-111-1-1-11-1-1i−i−ii11ii−i−i−i−iii-1-111-1-111-1-1-1-11111-1-1111-111−iii−i-1-1−i−iiiii−i−i
χ4611-1-111-1-11111-1-1-1-111-1-1-11-1-1−iii−i11−i−iiiii−i−i-1-111-1-111-1-1-1-11111-1-1111-111i−i−ii-1-1ii−i−i−i−iii11-1-111-1-11111-1-1-1-111-1-1-11-1-1−iii−i11−i−iiiii−i−i-1-111-1-111-1-1-1-11111-1-1111-111i−i−ii-1-1ii−i−i−i−iii
χ47222222222-12-122-1-1-1-1-1-100000022000000-1-1-1-1-2-2-2-2-2-2-2-2-21-21-2-2111111000000-2-20000001111222222222-12-122-1-1-1-1-1-100000022000000-1-1-1-1-2-2-2-2-2-2-2-2-21-21-2-2111111000000-2-20000001111
χ48222222222-12-122-1-1-1-1-1-1000000-2-20000001111-2-2-2-2-2-2-2-2-21-21-2-211111100000022000000-1-1-1-1222222222-12-122-1-1-1-1-1-1000000-2-20000001111-2-2-2-2-2-2-2-2-21-21-2-211111100000022000000-1-1-1-1
χ4922222222-12-12-1-122-1-1-1-10000220000-1-1-1-10000-2-2-2-2-2-2-2-21-21-211-2-211110000-2-200001111000022222222-12-12-1-122-1-1-1-10000220000-1-1-1-10000-2-2-2-2-2-2-2-21-21-211-2-211110000-2-2000011110000
χ5022222222-12-12-1-122-1-1-1-10000-2-2000011110000-2-2-2-2-2-2-2-21-21-211-2-211110000220000-1-1-1-1000022222222-12-12-1-122-1-1-1-10000-2-2000011110000-2-2-2-2-2-2-2-21-21-211-2-211110000220000-1-1-1-10000
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χ10444-4-444-4-4-2-2-2-2222211-1-100000000000000000044-4-444-4-4-2-2-2-2222211-1-1000000000000000000-4-444-4-4442222-2-2-2-2-1-111000000000000000000-4-444-4-4442222-2-2-2-2-1-111000000000000000000
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χ1076666-3-3-3-300000000000022-1-10000-1-1000000006666-3-3-3-300000000000022-1-10000-1-100000000-6-6-6-63333000000000000-2-21100001100000000-6-6-6-63333000000000000-2-21100001100000000
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χ10966-6-6-3-3330000000000002-2-1-10000110000000066-6-6-3-3330000000000002-2-1-100001100000000-6-66633-3-3000000000000-22110000-1-100000000-6-66633-3-3000000000000-22110000-1-100000000
χ11066-6-6-3-333000000000000-22110000-1-10000000066-6-6-3-333000000000000-22110000-1-100000000-6-66633-3-30000000000002-2-1-100001100000000-6-66633-3-30000000000002-2-1-100001100000000
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χ1136-6−6i6i-333i−3i00000000000000−i3i30000−33000000006-6−6i6i-333i−3i00000000000000−i3i30000−3300000000-666i−6i3-3−3i3i00000000000000i3−i300003−300000000-666i−6i3-3−3i3i00000000000000i3−i300003−300000000
χ1146-6−6i6i-333i−3i00000000000000i3−i300003−3000000006-6−6i6i-333i−3i00000000000000i3−i300003−300000000-666i−6i3-3−3i3i00000000000000−i3i30000−3300000000-666i−6i3-3−3i3i00000000000000−i3i30000−3300000000
χ11511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111
χ116111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ11711111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ11811111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ11911-1-111-1-11111-1-1-1-111-1-11-111i−ii−i-1-1ii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-111-11-1-1−ii−ii11−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-111-11-1-1−ii−ii11−i−iii−i−iii11-1-111-1-11111-1-1-1-111-1-11-111i−ii−i-1-1ii−i−iii−i−i
χ12011-1-111-1-11111-1-1-1-111-1-11-111−ii−ii-1-1−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-111-11-1-1i−ii−i11ii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-111-11-1-1i−ii−i11ii−i−iii−i−i11-1-111-1-11111-1-1-1-111-1-11-111−ii−ii-1-1−i−iii−i−iii
χ12111-1-111-1-11111-1-1-1-111-1-1-11-1-1i−i−ii11ii−i−i−i−iii-1-111-1-111-1-1-1-11111-1-1111-111−iii−i-1-1−i−iiiii−i−i-1-111-1-111-1-1-1-11111-1-1111-111−iii−i-1-1−i−iiiii−i−i11-1-111-1-11111-1-1-1-111-1-1-11-1-1i−i−ii11ii−i−i−i−iii
χ12211-1-111-1-11111-1-1-1-111-1-1-11-1-1−iii−i11−i−iiiii−i−i-1-111-1-111-1-1-1-11111-1-1111-111i−i−ii-1-1ii−i−i−i−iii-1-111-1-111-1-1-1-11111-1-1111-111i−i−ii-1-1ii−i−i−i−iii11-1-111-1-11111-1-1-1-111-1-1-11-1-1−iii−i11−i−iiiii−i−i
χ123222222222-12-122-1-1-1-1-1-100000022000000-1-1-1-1-2-2-2-2-2-2-2-2-21-21-2-2111111000000-2-20000001111-2-2-2-2-2-2-2-2-21-21-2-2111111000000-2-20000001111222222222-12-122-1-1-1-1-1-100000022000000-1-1-1-1
χ124222222222-12-122-1-1-1-1-1-1000000-2-20000001111-2-2-2-2-2-2-2-2-21-21-2-211111100000022000000-1-1-1-1-2-2-2-2-2-2-2-2-21-21-2-211111100000022000000-1-1-1-1222222222-12-122-1-1-1-1-1-1000000-2-20000001111
χ12522222222-12-12-1-122-1-1-1-10000220000-1-1-1-10000-2-2-2-2-2-2-2-21-21-211-2-211110000-2-2000011110000-2-2-2-2-2-2-2-21-21-211-2-211110000-2-200001111000022222222-12-12-1-122-1-1-1-10000220000-1-1-1-10000
χ12622222222-12-12-1-122-1-1-1-10000-2-2000011110000-2-2-2-2-2-2-2-21-21-211-2-211110000220000-1-1-1-10000-2-2-2-2-2-2-2-21-21-211-2-211110000220000-1-1-1-1000022222222-12-12-1-122-1-1-1-10000-2-2000011110000
χ12722-2-222-2-22-12-1-2-211-1-1110000002i−2i000000−i−iii-2-222-2-222-21-2122-1-111-1-1000000−2i2i000000ii−i−i-2-222-2-222-21-2122-1-111-1-1000000−2i2i000000ii−i−i22-2-222-2-22-12-1-2-211-1-1110000002i−2i000000−i−iii
χ12822-2-222-2-22-12-1-2-211-1-111000000−2i2i000000ii−i−i-2-222-2-222-21-2122-1-111-1-10000002i−2i000000−i−iii-2-222-2-222-21-2122-1-111-1-10000002i−2i000000−i−iii22-2-222-2-22-12-1-2-211-1-111000000−2i2i000000ii−i−i
χ12922-2-222-2-2-12-1211-2-2-1-11100002i−2i0000−i−iii0000-2-222-2-2221-21-2-1-12211-1-10000−2i2i0000ii−i−i0000-2-222-2-2221-21-2-1-12211-1-10000−2i2i0000ii−i−i000022-2-222-2-2-12-1211-2-2-1-11100002i−2i0000−i−iii0000
χ13022-2-222-2-2-12-1211-2-2-1-1110000−2i2i0000ii−i−i0000-2-222-2-2221-21-2-1-12211-1-100002i−2i0000−i−iii0000-2-222-2-2221-21-2-1-12211-1-100002i−2i0000−i−iii000022-2-222-2-2-12-1211-2-2-1-1110000−2i2i0000ii−i−i0000
χ1312-22i−2i2-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000000000-22−2i2i-22−2i2i-2-222−2i2i−2i2i-22−2i2i000000000000000000-22−2i2i-22−2i2i-2-222−2i2i−2i2i-22−2i2i0000000000000000002-22i−2i2-22i−2i22-2-22i−2i2i−2i2-22i−2i000000000000000000
χ1322-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23-22−2i2i-22−2i2i-212-1−2i2ii−i1-1i−i00000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23-22−2i2i-22−2i2i-212-1−2i2ii−i1-1i−i00000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ232-22i−2i2-22i−2i2-1-212i−2i−ii-11−ii00000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
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χ1342-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000-22−2i2i-22−2i2i1-2-12i−i−2i2i1-1i−i0000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000-22−2i2i-22−2i2i1-2-12i−i−2i2i1-1i−i0000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ1352-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000-22−2i2i-22−2i2i1-2-12i−i−2i2i1-1i−i0000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000-22−2i2i-22−2i2i1-2-12i−i−2i2i1-1i−i0000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i2-22i−2i-121-2−ii2i−2i-11−ii0000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ1362-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000000000-222i−2i-222i−2i-2-2222i−2i2i−2i-222i−2i000000000000000000-222i−2i-222i−2i-2-2222i−2i2i−2i-222i−2i0000000000000000002-2−2i2i2-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i000000000000000000
χ1372-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13-222i−2i-222i−2i-212-12i−2i−ii1-1−ii00000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13-222i−2i-222i−2i-212-12i−2i−ii1-1−ii00000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ132-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ1382-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13-222i−2i-222i−2i-212-12i−2i−ii1-1−ii00000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13-222i−2i-222i−2i-212-12i−2i−ii1-1−ii00000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ132-2−2i2i2-2−2i2i2-1-21−2i2ii−i-11i−i00000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ1392-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000-222i−2i-222i−2i1-2-12−ii2i−2i1-1−ii0000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000-222i−2i-222i−2i1-2-12−ii2i−2i1-1−ii0000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ1402-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000-222i−2i-222i−2i1-2-12−ii2i−2i1-1−ii0000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000-222i−2i-222i−2i1-2-12−ii2i−2i1-1−ii0000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i2-2−2i2i-121-2i−i−2i2i-11i−i0000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ14144444444-2-2-2-2-2-2-2-21111000000000000000000-4-4-4-4-4-4-4-422222222-1-1-1-1000000000000000000-4-4-4-4-4-4-4-422222222-1-1-1-100000000000000000044444444-2-2-2-2-2-2-2-21111000000000000000000
χ14244-4-444-4-4-2-2-2-2222211-1-1000000000000000000-4-444-4-4442222-2-2-2-2-1-111000000000000000000-4-444-4-4442222-2-2-2-2-1-11100000000000000000044-4-444-4-4-2-2-2-2222211-1-1000000000000000000
χ1434-44i−4i4-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000000000-44−4i4i-44−4i4i22-2-22i−2i2i−2i-11−ii000000000000000000-44−4i4i-44−4i4i22-2-22i−2i2i−2i-11−ii0000000000000000004-44i−4i4-44i−4i-2-222−2i2i−2i2i1-1i−i000000000000000000
χ1444-4−4i4i4-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000000000-444i−4i-444i−4i22-2-2−2i2i−2i2i-11i−i000000000000000000-444i−4i-444i−4i22-2-2−2i2i−2i2i-11i−i0000000000000000004-4−4i4i4-4−4i4i-2-2222i−2i2i−2i1-1−ii000000000000000000
χ1456666-3-3-3-300000000000022-1-10000-1-100000000-6-6-6-63333000000000000-2-21100001100000000-6-6-6-63333000000000000-2-211000011000000006666-3-3-3-300000000000022-1-10000-1-100000000
χ1466666-3-3-3-3000000000000-2-21100001100000000-6-6-6-6333300000000000022-1-10000-1-100000000-6-6-6-6333300000000000022-1-10000-1-1000000006666-3-3-3-3000000000000-2-21100001100000000
χ14766-6-6-3-3330000000000002-2-1-100001100000000-6-66633-3-3000000000000-22110000-1-100000000-6-66633-3-3000000000000-22110000-1-10000000066-6-6-3-3330000000000002-2-1-100001100000000
χ14866-6-6-3-333000000000000-22110000-1-100000000-6-66633-3-30000000000002-2-1-100001100000000-6-66633-3-30000000000002-2-1-10000110000000066-6-6-3-333000000000000-22110000-1-100000000
χ1496-66i−6i-33−3i3i00000000000000−i3i300003−300000000-66−6i6i3-33i−3i00000000000000i3−i30000−3300000000-66−6i6i3-33i−3i00000000000000i3−i30000−33000000006-66i−6i-33−3i3i00000000000000−i3i300003−300000000
χ1506-66i−6i-33−3i3i00000000000000i3−i30000−3300000000-66−6i6i3-33i−3i00000000000000−i3i300003−300000000-66−6i6i3-33i−3i00000000000000−i3i300003−3000000006-66i−6i-33−3i3i00000000000000i3−i30000−3300000000
χ1516-6−6i6i-333i−3i00000000000000−i3i30000−3300000000-666i−6i3-3−3i3i00000000000000i3−i300003−300000000-666i−6i3-3−3i3i00000000000000i3−i300003−3000000006-6−6i6i-333i−3i00000000000000−i3i30000−3300000000
χ1526-6−6i6i-333i−3i00000000000000i3−i300003−300000000-666i−6i3-3−3i3i00000000000000−i3i30000−3300000000-666i−6i3-3−3i3i00000000000000−i3i30000−33000000006-6−6i6i-333i−3i00000000000000i3−i300003−300000000

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