Finite Group Databasebeta

← Group #13161530

Character table — Group #13161530

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444499991818181818181818181818181818181818181818181836363636363636367272727272727272
order12442333444446666612121212121212121212121212121212333336666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212224424444466661212121212121212121212122244888866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-11-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11-11-1-111
χ5111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-1111-11-1-1-111
χ8111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-11-1111-1-1
χ911-1-1-11111ii−i−i111-1-111-1-1iiii−i−i−i−i-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-1i−ii−i11-1-1i−ii−i
χ1011-1-1-11111ii−i−i111-1-111-1-1iiii−i−i−i−i-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i11-1-1-11ii−i−i11-1-111-1-1iiii−i−i−i−i-1-111−ii−ii-1-111−ii−ii
χ1111-1-1-11111ii−i−i111-1-111-1-1iiii−i−i−i−i-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1111-1−i−iii-1-111-1-111−i−i−i−iiiii1-1-11i−i−ii1-1-11i−i−ii
χ1211-1-1-11111ii−i−i111-1-111-1-1iiii−i−i−i−i-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1111-1−i−iii-1-111-1-111−i−i−i−iiiii-111-1−iii−i-111-1−iii−i
χ1311-1-1-11111−i−iii111-1-111-1-1−i−i−i−iiiii-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii11-1-1−ii−ii11-1-1−ii−ii
χ1411-1-1-11111−i−iii111-1-111-1-1−i−i−i−iiiii-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii11-1-1-11−i−iii11-1-111-1-1−i−i−i−iiiii-1-111i−ii−i-1-111i−ii−i
χ1511-1-1-11111−i−iii111-1-111-1-1−i−i−i−iiiii-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii-1-1111-1ii−i−i-1-111-1-111iiii−i−i−i−i1-1-11−iii−i1-1-11−iii−i
χ1611-1-1-11111−i−iii111-1-111-1-1−i−i−i−iiiii-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii-1-1111-1ii−i−i-1-111-1-111iiii−i−i−i−i-111-1i−i−ii-111-1i−i−ii
χ172222222-12222222-12222222222222222-1-12-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000020200220-10-100-1-1
χ182222222-12222222-12222222222222222-1-12-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-20-200-2-201010011
χ192222222-12-2-2-2-222-1222222-2-2-2-2-2-2-2-222-1-12-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111111111100000000000000000000000000020200-2-20-10-10011
χ202222222-12-2-2-2-222-1222222-2-2-2-2-2-2-2-222-1-12-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2111111111111111111000000000000000000000000000-20-20022010100-1-1
χ21222222-12222222-1222222222222222-1-122-12-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000020202200-10-10-1-100
χ22222222-12222222-1222222222222222-1-122-12-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-20-20-2-20010101100
χ23222222-122-2-2-2-22-12222222-2-2-2-2-2-2-2-2-1-122-12-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2111111111111000000000000000000000000002020-2-200-10-101100
χ24222222-122-2-2-2-22-12222222-2-2-2-2-2-2-2-2-1-122-12-1-1-1-12-12-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1111111-2-2-2-2-2-2111111111111111111-2-2-2-2-2-211111111111100000000000000000000000000-20-2022001010-1-100
χ2522222-12222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12-1-122-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222-12222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-12-1-122-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2722222-1222-2-2-2-2-122-1-1-1-1-1-1111111112222-1-12-1-122-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2-2-211111111-2-21111-2-21111-2-2-2-211111111222222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2822222-1222-2-2-2-2-122-1-1-1-1-1-1111111112222-1-12-1-122-1-12-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2-2-211111111-2-21111-2-21111-2-2-2-211111111-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ292222-2222-20000222-2-2-2-22200000000222222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000000000000000000000002222-2-2000022-2-2-2-222000000000000000000000000
χ302222-2222-20000222-2-2-2-22200000000222222222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000000000000000000000-2-2-2-2220000-2-22222-2-2000000000000000000000000
χ312222-2-122-20000-1221111-1-133−3−333−3−32222-1-12-1-1-2-2-1-12-1-11111-2-21111-2-21111-2-21111-1-1-1-122-1-1-1-10033−3−30033−3−300003333−3−3−3−30033−3−30033−3−300003333−3−3−3−32222-2-20000-1-11111-1-133−3−333−3−30000000000000000
χ322222-2-122-20000-1221111-1-133−3−333−3−32222-1-12-1-1-2-2-1-12-1-11111-2-21111-2-21111-2-21111-1-1-1-122-1-1-1-10033−3−30033−3−300003333−3−3−3−30033−3−30033−3−300003333−3−3−3−3-2-2-2-222000011-1-1-1-111−3−333−3−3330000000000000000
χ332222-2-122-20000-1221111-1-1−3−333−3−3332222-1-12-1-1-2-2-1-12-1-11111-2-21111-2-21111-2-21111-1-1-1-122-1-1-1-100−3−33300−3−3330000−3−3−3−3333300−3−33300−3−3330000−3−3−3−333332222-2-20000-1-11111-1-1−3−333−3−3330000000000000000
χ342222-2-122-20000-1221111-1-1−3−333−3−3332222-1-12-1-1-2-2-1-12-1-11111-2-21111-2-21111-2-21111-1-1-1-122-1-1-1-100−3−33300−3−3330000−3−3−3−3333300−3−33300−3−3330000−3−3−3−33333-2-2-2-222000011-1-1-1-11133−3−333−3−30000000000000000
χ3522-2-22222-2000022222-2-2-2-200000000-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-22-200002222-2-2-2-2000000000000000000000000
χ3622-2-22222-2000022222-2-2-2-200000000-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-222-220000-2-2-2-22222000000000000000000000000
χ3722-2-22-122-20000-122-1-11111−i3−i3i3i3i3i3−i3−i3-2-2-2-2-1-12-1-122-1-12-1-1-1-1-1-122-1-1-1-1-2-21111-2-211111111-2-2111100−i3−i3i3i300−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300i3i3−i3−i300i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i322-2-22-20000-1-1-1-11111−i3−i3i3i3i3i3−i3−i30000000000000000
χ3822-2-22-122-20000-122-1-11111−i3−i3i3i3i3i3−i3−i3-2-2-2-2-1-12-1-122-1-12-1-1-1-1-1-122-1-1-1-1-2-21111-2-211111111-2-2111100−i3−i3i3i300−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300i3i3−i3−i300i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-2-222-2200001111-1-1-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ3922-2-22-122-20000-122-1-11111i3i3−i3−i3−i3−i3i3i3-2-2-2-2-1-12-1-122-1-12-1-1-1-1-1-122-1-1-1-1-2-21111-2-211111111-2-2111100i3i3−i3−i300i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300−i3−i3i3i300−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i322-2-22-20000-1-1-1-11111i3i3−i3−i3−i3−i3i3i30000000000000000
χ4022-2-22-122-20000-122-1-11111i3i3−i3−i3−i3−i3i3i3-2-2-2-2-1-12-1-122-1-12-1-1-1-1-1-122-1-1-1-1-2-21111-2-211111111-2-2111100i3i3−i3−i300i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300−i3−i3i3i300−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-2-222-2200001111-1-1-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ4122-2-2-222-122i2i−2i−2i22-1-2-222-2-22i2i2i2i−2i−2i−2i−2i-2-2112-1-1-1-1-212-1-1-1-1-2-2111111112-122-1-1-1-1-1-1-1-1-2-2111111112i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiiiii00000000000000000000000000020-2002i−2i0-10100−ii
χ4222-2-2-222-122i2i−2i−2i22-1-2-222-2-22i2i2i2i−2i−2i−2i−2i-2-2112-1-1-1-1-212-1-1-1-1-2-2111111112-122-1-1-1-1-1-1-1-1-2-2111111112i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiiiii000000000000000000000000000-20200−2i2i010-100i−i
χ4322-2-2-222-12−2i−2i2i2i22-1-2-222-2-2−2i−2i−2i−2i2i2i2i2i-2-2112-1-1-1-1-212-1-1-1-1-2-2111111112-122-1-1-1-1-1-1-1-1-2-211111111−2i−2i−2i−2i−2i−2iiiiiiiiiiiiiiiiiii2i2i2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i00000000000000000000000000020-200−2i2i0-10100i−i
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χ1604-4−4i4i0-2-240−2+2i2−2i−2−2i2+2i22-42i3−2i323−232i−2i2ζ10+2ζ11−2ζ10−2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ2−2ζ7−2ζ2+2ζ72ζ10−2ζ11−2ζ10+2ζ112i−2i−4i4i1-2-21100-122-1-1−i3i32i3−2i300−i3−i3i3i300−3323−2300−3−333−ii2i−2i2i−2i−i−iii1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−2+2i2−2i2ζ10+2ζ11−2ζ10−2ζ112ζ2+2ζ7−2ζ2−2ζ71−i1−i−1+i−1+i−ζ10−ζ11−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ2−ζ7−ζ2−ζ7ζ2+ζ7ζ2+ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−2−2i2+2i2ζ2−2ζ7−2ζ2+2ζ72ζ10−2ζ11−2ζ10+2ζ111+i1+i−1−i−1−i−ζ2+ζ7−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ10+ζ11−ζ10+ζ11ζ10−ζ11ζ10−ζ11000000000000000000000000000000000000000000
χ1614-4−4i4i0-2-2-202−2i−2+2i2+2i−2−2i222−2i32i3−23232i−2i−2ζ2−2ζ72ζ2+2ζ7−2ζ10−2ζ112ζ10+2ζ11−2ζ10+2ζ112ζ10−2ζ11−2ζ2+2ζ72ζ2−2ζ72i−2i2i−2i111−1−3i32−1+3i3200-1-1-11+3i321−3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32003−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ112+i−1−2i−2−i1+2i−2ζ2+ζ7ζ2−2ζ72ζ2−ζ7−ζ2+2ζ7ζ10−2ζ11−2ζ10+ζ11−ζ10+2ζ112ζ10−ζ11−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−1+2i2−i1−2i−2+iζ10+2ζ11−2ζ10−ζ11−ζ10−2ζ112ζ10+ζ11−2ζ2−ζ7ζ2+2ζ72ζ2+ζ7−ζ2−2ζ7000000000000000000000000000000000000000000
χ1624-4−4i4i0-2-2-202−2i−2+2i2+2i−2−2i222−2i32i3−23232i−2i−2ζ2−2ζ72ζ2+2ζ7−2ζ10−2ζ112ζ10+2ζ11−2ζ10+2ζ112ζ10−2ζ11−2ζ2+2ζ72ζ2−2ζ72i−2i2i−2i111−1+3i32−1−3i3200-1-1-11−3i321+3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32003−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−1−2i2+i1+2i−2−iζ2−2ζ7−2ζ2+ζ7−ζ2+2ζ72ζ2−ζ7−2ζ10+ζ11ζ10−2ζ112ζ10−ζ11−ζ10+2ζ11−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ72−i−1+2i−2+i1−2i−2ζ10−ζ11ζ10+2ζ112ζ10+ζ11−ζ10−2ζ11ζ2+2ζ7−2ζ2−ζ7−ζ2−2ζ72ζ2+ζ7000000000000000000000000000000000000000000
χ1634-4−4i4i0-2-2-202−2i−2+2i2+2i−2−2i2222i3−2i323−232i−2i−2ζ10−2ζ112ζ10+2ζ11−2ζ2−2ζ72ζ2+2ζ7−2ζ2+2ζ72ζ2−2ζ7−2ζ10+2ζ112ζ10−2ζ112i−2i2i−2i111−1−3i32−1+3i3200-1-1-11+3i321−3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i3200−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−1−2i2+i1+2i−2−iζ10−2ζ11−2ζ10+ζ11−ζ10+2ζ112ζ10−ζ11−2ζ2+ζ7ζ2−2ζ72ζ2−ζ7−ζ2+2ζ7−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ112−i−1+2i−2+i1−2i−2ζ2−ζ7ζ2+2ζ72ζ2+ζ7−ζ2−2ζ7ζ10+2ζ11−2ζ10−ζ11−ζ10−2ζ112ζ10+ζ11000000000000000000000000000000000000000000
χ1644-4−4i4i0-2-2-202−2i−2+2i2+2i−2−2i2222i3−2i323−232i−2i−2ζ10−2ζ112ζ10+2ζ11−2ζ2−2ζ72ζ2+2ζ7−2ζ2+2ζ72ζ2−2ζ7−2ζ10+2ζ112ζ10−2ζ112i−2i2i−2i111−1+3i32−1−3i3200-1-1-11−3i321+3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i3200−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ72+i−1−2i−2−i1+2i−2ζ10+ζ11ζ10−2ζ112ζ10−ζ11−ζ10+2ζ11ζ2−2ζ7−2ζ2+ζ7−ζ2+2ζ72ζ2−ζ7−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1+2i2−i1−2i−2+iζ2+2ζ7−2ζ2−ζ7−ζ2−2ζ72ζ2+ζ7−2ζ10−ζ11ζ10+2ζ112ζ10+ζ11−ζ10−2ζ11000000000000000000000000000000000000000000
χ1654-4−4i4i0-2-2-20−2+2i2−2i−2−2i2+2i222−2i32i3−23232i−2i2ζ2+2ζ7−2ζ2−2ζ72ζ10+2ζ11−2ζ10−2ζ112ζ10−2ζ11−2ζ10+2ζ112ζ2−2ζ7−2ζ2+2ζ72i−2i2i−2i111−1−3i32−1+3i3200-1-1-11+3i321−3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32003−33−3−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ111−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−2−i1+2i2+i−1−2i2ζ2−ζ7−ζ2+2ζ7−2ζ2+ζ7ζ2−2ζ7−ζ10+2ζ112ζ10−ζ11ζ10−2ζ11−2ζ10+ζ111+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71−2i−2+i−1+2i2−i−ζ10−2ζ112ζ10+ζ11ζ10+2ζ11−2ζ10−ζ112ζ2+ζ7−ζ2−2ζ7−2ζ2−ζ7ζ2+2ζ7000000000000000000000000000000000000000000
χ1664-4−4i4i0-2-2-20−2+2i2−2i−2−2i2+2i222−2i32i3−23232i−2i2ζ2+2ζ7−2ζ2−2ζ72ζ10+2ζ11−2ζ10−2ζ112ζ10−2ζ11−2ζ10+2ζ112ζ2−2ζ7−2ζ2+2ζ72i−2i2i−2i111−1+3i32−1−3i3200-1-1-11−3i321+3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32003−33−33i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ111−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111+2i−2−i−1−2i2+i−ζ2+2ζ72ζ2−ζ7ζ2−2ζ7−2ζ2+ζ72ζ10−ζ11−ζ10+2ζ11−2ζ10+ζ11ζ10−2ζ111+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−2+i1−2i2−i−1+2i2ζ10+ζ11−ζ10−2ζ11−2ζ10−ζ11ζ10+2ζ11−ζ2−2ζ72ζ2+ζ7ζ2+2ζ7−2ζ2−ζ7000000000000000000000000000000000000000000
χ1674-4−4i4i0-2-2-20−2+2i2−2i−2−2i2+2i2222i3−2i323−232i−2i2ζ10+2ζ11−2ζ10−2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ2−2ζ7−2ζ2+2ζ72ζ10−2ζ11−2ζ10+2ζ112i−2i2i−2i111−1−3i32−1+3i3200-1-1-11+3i321−3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i3200−33−333i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−ii−ii−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ111−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ71−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ71+2i−2−i−1−2i2+i−ζ10+2ζ112ζ10−ζ11ζ10−2ζ11−2ζ10+ζ112ζ2−ζ7−ζ2+2ζ7−2ζ2+ζ7ζ2−2ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−2+i1−2i2−i−1+2i2ζ2+ζ7−ζ2−2ζ7−2ζ2−ζ7ζ2+2ζ7−ζ10−2ζ112ζ10+ζ11ζ10+2ζ11−2ζ10−ζ11000000000000000000000000000000000000000000
χ1684-4−4i4i0-2-2-20−2+2i2−2i−2−2i2+2i2222i3−2i323−232i−2i2ζ10+2ζ11−2ζ10−2ζ112ζ2+2ζ7−2ζ2−2ζ72ζ2−2ζ7−2ζ2+2ζ72ζ10−2ζ11−2ζ10+2ζ112i−2i2i−2i111−1+3i32−1−3i3200-1-1-11−3i321+3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i3200−33−33−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−ii−ii−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ111−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ71−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−2−i1+2i2+i−1−2i2ζ10−ζ11−ζ10+2ζ11−2ζ10+ζ11ζ10−2ζ11−ζ2+2ζ72ζ2−ζ7ζ2−2ζ7−2ζ2+ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111−2i−2+i−1+2i2−i−ζ2−2ζ72ζ2+ζ7ζ2+2ζ7−2ζ2−ζ72ζ10+ζ11−ζ10−2ζ11−2ζ10−ζ11ζ10+2ζ11000000000000000000000000000000000000000000

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