Finite Group Databasebeta

← Group #13167047

Character table — Group #13167047

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222444444444444444444444444444466666666666666666666666688888888889999121212121212121212121212121212121212121212121212181818181818181818183636363672727272108108108108
order124423466612121212333366666666661212121212121212121212121212444444441212121212121212121212121212121236666121212121222441212121212121212121212121212121212121212121212122466661212121222446612128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ51111-11-1-1-1111-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-111iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-1-11-111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1111-1-111-1-11-11-11-11-1ii−i−i
χ61111-11-1-1-1111-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-111iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1-1-11-111-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i1111-1-111-1-1-11-11-11-11−i−iii
χ71111-11-1-1-1111-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1-1-11-111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1111-1-111-1-11-11-11-11-1−i−iii
χ81111-11-1-1-1111-1-11111111-1-1-1-1-1-11111111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-1-1-11-111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii1111-1-111-1-1-11-11-11-11ii−i−i
χ911-1-111-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-111111-1-111-1-111-11-1
χ1011-1-111-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-11111-111-1-111-1-11-11
χ1111-1-111-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-11-1-1-1-111111-1-111-1-11-11-11
χ1211-1-111-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-11-1-1-1-11111-111-1-111-11-11-1
χ1311-1-1-111-1-11-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1-111-1-11111-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-11-1-11111-1-111-1-111-1-1i−i−ii
χ1411-1-1-111-1-11-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1-1-111-1-11111-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-11-1-11111-1-1-1-111-1-111−iii−i
χ1511-1-1-111-1-11-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1-111-1-11111-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-11-1-11111-1-111-1-111-1-1−iii−i
χ1611-1-1-111-1-11-1-1111111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-1-111-1-11111-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-11-1-11111-1-1-1-111-1-111i−i−ii
χ172222222222222222222222222222222222222222220000000000000000000000002222222222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2000000000000
χ1822222-12-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1222-1-1-1-122-1-1-1-12200000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-12-1-1-12-1-1-1-1-2-2-2-200−i3−i3i3i300−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3-2-211111111000000000000
χ1922222-12-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1222-1-1-1-122-1-1-1-12200000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-12-1-1-12-1-1-1-1-2-2-2-200i3i3−i3−i300i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3-2-211111111000000000000
χ2022222-12-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1222-1-1-1-122-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-1222222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ2122222-12-1-1-1-1-1-1-12-1-122-1-122-1-1-1-1222-1-1-1-122-1-1-1-122-2-2-2-2-2-2-2-21111111111111111-12-1-1-12-1-1-1-12222-2-21111-2-21111-2-21111-2-2111122-1-1-1-1-1-1-1-1000000000000
χ222222-22-2-2-2222-2-22222222-2-2-2-2-2-22222222-2-2-2-2-2-2220000000000000000000000002-2-2-22-222-2-22222000000000000000000000000-2-2-2-222-2-222000000000000
χ232222-2-1-211-1-1-1112-1-122-1-1-2-21111222-1-1-1-1-2-21111220000000033−3−333−3−3−3−333−3−333-1-211-1-2-1-11122220033−3−30033−3−300−3−33300−3−333-2-211-1-111-1-1000000000000
χ242222-2-1-211-1-1-1112-1-122-1-1-2-21111222-1-1-1-1-2-211112200000000−3−333−3−33333−3−333−3−3-1-211-1-2-1-111222200−3−33300−3−3330033−3−30033−3−3-2-211-1-111-1-1000000000000
χ252222-2-1-211-1-1-1112-1-122-1-1-2-21111222-1-1-1-1-2-21111222i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii-1-211-1-2-1-111-2-2-2-22i2i−i−i−i−i2i2i−i−i−i−i−2i−2iiiii−2i−2iiiii22-1-111-1-111000000000000
χ262222-2-1-211-1-1-1112-1-122-1-1-2-21111222-1-1-1-1-2-2111122−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i-1-211-1-2-1-111-2-2-2-2−2i−2iiiii−2i−2iiiii2i2i−i−i−i−i2i2i−i−i−i−i22-1-111-1-111000000000000
χ2722-2-222-2222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022222-2-2-2-2-222-2-20000000000000000000000002-22222-2-2-2-2000000000000
χ2822-2-22-1-2-1-1-111112-1-122-1-122-1-1-1-12-2-21111-2-21111-2-200000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3-12-1-1-1-2111122-2-200−i3−i3i3i300i3i3−i3−i300−i3−i3i3i300i3i3−i3−i32-2-1-1-1-11111000000000000
χ2922-2-22-1-2-1-1-111112-1-122-1-122-1-1-1-12-2-21111-2-21111-2-200000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3-12-1-1-1-2111122-2-200i3i3−i3−i300−i3−i3i3i300i3i3−i3−i300−i3−i3i3i32-2-1-1-1-11111000000000000
χ3022-2-22-1-2-1-1-111112-1-122-1-122-1-1-1-12-2-21111-2-21111-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-12-1-1-1-21111-2-22222-1-1-1-1-2-2111122-1-1-1-1-2-21111-221111-1-1-1-1000000000000
χ3122-2-22-1-2-1-1-111112-1-122-1-122-1-1-1-12-2-21111-2-21111-2-2-2-222-2-2221111-1-1-1-11111-1-1-1-1-12-1-1-1-21111-2-222-2-2111122-1-1-1-1-2-2111122-1-1-1-1-221111-1-1-1-1000000000000
χ3222-2-2-222-2-22-2-2222222222-2-2-2-2-2-22-2-2-2-2-2-2222222-2-20000000000000000000000002-2-2-222-2-222-2-2220000000000000000000000002-222-2-2-2-222000000000000
χ3322-2-2-2-1211-111-1-12-1-122-1-1-2-211112-2-2111122-1-1-1-1-2-20000000033−3−3−3−333−3−33333−3−3-1-211-1211-1-1-2-2220033−3−300−3−33300−3−3330033−3−32-2-1-11111-1-1000000000000
χ3422-2-2-2-1211-111-1-12-1-122-1-1-2-211112-2-2111122-1-1-1-1-2-200000000−3−33333−3−333−3−3−3−333-1-211-1211-1-1-2-22200−3−3330033−3−30033−3−300−3−3332-2-1-11111-1-1000000000000
χ3522-2-2-2-1211-111-1-12-1-122-1-1-2-211112-2-2111122-1-1-1-1-2-22i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i-1-211-1211-1-122-2-22i2i−i−i−i−i−2i−2iiiii−2i−2iiiii2i2i−i−i−i−i-2211-1-1-1-111000000000000
χ3622-2-2-2-1211-111-1-12-1-122-1-1-2-211112-2-2111122-1-1-1-1-2-2−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii-1-211-1211-1-122-2-2−2i−2iiiii2i2i−i−i−i−i2i2i−i−i−i−i−2i−2iiiii-2211-1-1-1-111000000000000
χ372-22i−2i02000-22i−2i002222-2-2-2000000-22i−2i2i2i−2i−2i0000002i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2000-202i−2i002-22i−2i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i00002-2002i−2i000000000000
χ382-22i−2i02000-22i−2i002222-2-2-2000000-22i−2i2i2i−2i−2i0000002i−2i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i2000-202i−2i00-22−2i2i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i0000-2200−2i2i000000000000
χ392-22i−2i02000-22i−2i002222-2-2-2000000-22i−2i2i2i−2i−2i0000002i−2i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i2000-202i−2i00-22−2i2i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i0000-2200−2i2i000000000000
χ402-22i−2i02000-22i−2i002222-2-2-2000000-22i−2i2i2i−2i−2i0000002i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2000-202i−2i002-22i−2i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i00002-2002i−2i000000000000
χ412-22i−2i0-10−i3i31−ii3−32-1-12-21100−i3−i3i3i3-22i−2i−i−iii0033−3−32i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7-10−i3i310−ii3−32-22i−2i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ71−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700−i3i3-113−3−ii000000000000
χ422-22i−2i0-10−i3i31−ii3−32-1-12-21100−i3−i3i3i3-22i−2i−i−iii0033−3−32i−2i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7-10−i3i310−ii3−3-22−2i2i1−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700i3−i31-1−33i−i000000000000
χ432-22i−2i0-10−i3i31−ii3−32-1-12-21100−i3−i3i3i3-22i−2i−i−iii0033−3−32i−2i−1+i1−i1+i−1−i−1−i1+i1−i−1+iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7-10−i3i310−ii3−3-22−2i2i−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ111+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ111−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700i3−i31-1−33i−i000000000000
χ442-22i−2i0-10−i3i31−ii3−32-1-12-21100−i3−i3i3i3-22i−2i−i−iii0033−3−32i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7-10−i3i310−ii3−32-22i−2i−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700−i3i3-113−3−ii000000000000
χ452-22i−2i0-10i3−i31−ii−332-1-12-21100i3i3−i3−i3-22i−2i−i−iii00−3−3332i−2i1+i−1−i1−i−1+i1−i−1+i1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11-10i3−i310−ii−332-22i−2i1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ1100i3−i3-11−33−ii000000000000
χ462-22i−2i0-10i3−i31−ii−332-1-12-21100i3i3−i3−i3-22i−2i−i−iii00−3−3332i−2i1−i−1+i−1−i1+i1+i−1−i−1+i1−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11-10i3−i310−ii−33-22−2i2i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ111+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100−i3i31-13−3i−i000000000000
χ472-22i−2i0-10i3−i31−ii−332-1-12-21100i3i3−i3−i3-22i−2i−i−iii00−3−3332i−2i−1+i1−i1+i−1−i−1−i1+i1−i−1+iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11-10i3−i310−ii−33-22−2i2i−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ71−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100−i3i31-13−3i−i000000000000
χ482-22i−2i0-10i3−i31−ii−332-1-12-21100i3i3−i3−i3-22i−2i−i−iii00−3−3332i−2i−1−i1+i−1+i1−i−1+i1−i−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11-10i3−i310−ii−332-22i−2i−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ1100i3−i3-11−33−ii000000000000
χ492-2−2i2i02000-2−2i2i002222-2-2-2000000-2−2i2i−2i−2i2i2i000000−2i2i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i2000-20−2i2i00-222i−2i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i0000-22002i−2i000000000000
χ502-2−2i2i02000-2−2i2i002222-2-2-2000000-2−2i2i−2i−2i2i2i000000−2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2000-20−2i2i002-2−2i2i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i00002-200−2i2i000000000000
χ512-2−2i2i02000-2−2i2i002222-2-2-2000000-2−2i2i−2i−2i2i2i000000−2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2000-20−2i2i002-2−2i2i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i00002-200−2i2i000000000000
χ522-2−2i2i02000-2−2i2i002222-2-2-2000000-2−2i2i−2i−2i2i2i000000−2i2i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i2000-20−2i2i00-222i−2i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i0000-22002i−2i000000000000
χ532-2−2i2i0-10−i3i31i−i−332-1-12-21100−i3−i3i3i3-2−2i2iii−i−i00−3−333−2i2i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7-10−i3i310i−i−33-222i−2i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ71−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700i3−i31-13−3−ii000000000000
χ542-2−2i2i0-10−i3i31i−i−332-1-12-21100−i3−i3i3i3-2−2i2iii−i−i00−3−333−2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7-10−i3i310i−i−332-2−2i2i1−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ111+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700−i3i3-11−33i−i000000000000
χ552-2−2i2i0-10−i3i31i−i−332-1-12-21100−i3−i3i3i3-2−2i2iii−i−i00−3−333−2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7-10−i3i310i−i−332-2−2i2i−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700−i3i3-11−33i−i000000000000
χ562-2−2i2i0-10−i3i31i−i−332-1-12-21100−i3−i3i3i3-2−2i2iii−i−i00−3−333−2i2i−1−i1+i1−i−1+i−1+i1−i1+i−1−iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7-10−i3i310i−i−33-222i−2i−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ111−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ111+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700i3−i31-13−3−ii000000000000
χ572-2−2i2i0-10i3−i31i−i3−32-1-12-21100i3i3−i3−i3-2−2i2iii−i−i0033−3−3−2i2i1+i−1−i−1+i1−i1−i−1+i−1−i1+i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11-10i3−i310i−i3−3-222i−2i1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ111−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ1100−i3i31-1−33−ii000000000000
χ582-2−2i2i0-10i3−i31i−i3−32-1-12-21100i3i3−i3−i3-2−2i2iii−i−i0033−3−3−2i2i1−i−1+i1+i−1−i1+i−1−i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11-10i3−i310i−i3−32-2−2i2i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ111+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ71−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100i3−i3-113−3i−i000000000000
χ592-2−2i2i0-10i3−i31i−i3−32-1-12-21100i3i3−i3−i3-2−2i2iii−i−i0033−3−3−2i2i−1+i1−i−1−i1+i−1−i1+i−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11-10i3−i310i−i3−32-2−2i2i−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100i3−i3-113−3i−i000000000000
χ602-2−2i2i0-10i3−i31i−i3−32-1-12-21100i3i3−i3−i3-2−2i2iii−i−i0033−3−3−2i2i−1−i1+i1−i−1+i−1+i1−i1+i−1−iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11-10i3−i310i−i3−3-222i−2i−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ71−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ71+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ1100−i3i31-1−33−ii000000000000
χ6144444444444444111-2111111111-2111111111111-2-2222222222222222222222222-2-2-2-2-2-2-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ6244444444444444111-2111111111-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200001111111111111111111111110000000000000000000000
χ6344444444444444-2-2-21-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2110000000000000000000000001111111111000000000000000000000000000000000000002222-1-1-1-10000
χ6444444444444444-2-2-21-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-211000000000000000000000000111111111100000000000000000000000000000000000000-2-2-2-211110000
χ6544444-24-2-2-2-2-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-222222222−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i31-2111-211110000-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i320000000000000000000000
χ6644444-24-2-2-2-2-2-2-21−1−3i32−1+3i32-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-211−1−3i32−1+3i32−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-21+i31+i31−i31−i31+i31+i31−i31−i31+i31+i31−i31−i31+i31+i31−i31−i31-2111-21111000011−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i320000000000000000000000
χ6744444-24-2-2-2-2-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-222222222−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i31-2111-211110000-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i320000000000000000000000
χ6844444-24-2-2-2-2-2-2-21−1+3i32−1−3i32-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-211−1+3i32−1−3i32−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-21−i31−i31+i31+i31−i31−i31+i31+i31−i31−i31+i31+i31−i31−i31+i31+i31-2111-21111000011−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i320000000000000000000000
χ694444-44-4-4-4444-4-4111-2111-1-1-1-1-1-1-2111111-1-1-1-1-1-1-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2222-22-2-2220000−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii0000000000000000000000
χ704444-44-4-4-4444-4-4111-2111-1-1-1-1-1-1-2111111-1-1-1-1-1-1-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2222-22-2-2220000iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i0000000000000000000000
χ714444-44-4-4-4444-4-4-2-2-21-2-2-22222221-2-2-2-2-2-2222222110000000000000000000000001-1-1-11-111-1-1000000000000000000000000000000000000002-22-2-11-110000
χ724444-44-4-4-4444-4-4-2-2-21-2-2-22222221-2-2-2-2-2-2222222110000000000000000000000001-1-1-11-111-1-100000000000000000000000000000000000000-22-221-11-10000
χ734444-4-2-422-2-2-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-211−1−3i32−1+3i32−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-2-22i2i2i2i−2i−2i−2i−2i2ζ112ζ112ζ72ζ72ζ112ζ112ζ72ζ7−2ζ11−2ζ11−2ζ7−2ζ7−2ζ11−2ζ11−2ζ7−2ζ712-1-11211-1-10000−i−i−ζ11−ζ11−ζ7−ζ7−i−i−ζ11−ζ11−ζ7−ζ7iiζ11ζ11ζ7ζ7iiζ11ζ11ζ7ζ70000000000000000000000
χ744444-4-2-422-2-2-2221−1−3i32−1+3i32-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-211−1−3i32−1+3i32−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-2-2−2i−2i−2i−2i2i2i2i2i−2ζ11−2ζ11−2ζ7−2ζ7−2ζ11−2ζ11−2ζ7−2ζ72ζ112ζ112ζ72ζ72ζ112ζ112ζ72ζ712-1-11211-1-10000iiζ11ζ11ζ7ζ7iiζ11ζ11ζ7ζ7−i−i−ζ11−ζ11−ζ7−ζ7−i−i−ζ11−ζ11−ζ7−ζ70000000000000000000000
χ754444-4-2-422-2-2-2221−1+3i32−1−3i32-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-211−1+3i32−1−3i32−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-2-22i2i2i2i−2i−2i−2i−2i2ζ72ζ72ζ112ζ112ζ72ζ72ζ112ζ11−2ζ7−2ζ7−2ζ11−2ζ11−2ζ7−2ζ7−2ζ11−2ζ1112-1-11211-1-10000−i−i−ζ7−ζ7−ζ11−ζ11−i−i−ζ7−ζ7−ζ11−ζ11iiζ7ζ7ζ11ζ11iiζ7ζ7ζ11ζ110000000000000000000000
χ764444-4-2-422-2-2-2221−1+3i32−1−3i32-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-211−1+3i32−1−3i32−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-2-2−2i−2i−2i−2i2i2i2i2i−2ζ7−2ζ7−2ζ11−2ζ11−2ζ7−2ζ7−2ζ11−2ζ112ζ72ζ72ζ112ζ112ζ72ζ72ζ112ζ1112-1-11211-1-10000iiζ7ζ7ζ11ζ11iiζ7ζ7ζ11ζ11−i−i−ζ7−ζ7−ζ11−ζ11−i−i−ζ7−ζ7−ζ11−ζ110000000000000000000000
χ7744-4-444-4444-4-4-4-4111-2111111111-2-1-1-1-1-1-1-1-1-1-1-1-12222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2222220000-1-1-1-1-1-1111111-1-1-1-1-1-11111110000000000000000000000
χ7844-4-444-4444-4-4-4-4111-2111111111-2-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2222220000111111-1-1-1-1-1-1111111-1-1-1-1-1-10000000000000000000000
χ7944-4-444-4444-4-4-4-4-2-2-21-2-2-2-2-2-2-2-2-21222222222222-1-100000000000000000000000011111-1-1-1-1-1000000000000000000000000000000000000002-2-22-111-10000
χ8044-4-444-4444-4-4-4-4-2-2-21-2-2-2-2-2-2-2-2-21222222222222-1-100000000000000000000000011111-1-1-1-1-100000000000000000000000000000000000000-222-21-1-110000
χ8144-4-44-2-4-2-2-222221−1−3i32−1+3i32-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i32-1-11+3i321−3i321+3i321−3i322222-2-222-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31-21112-1-1-1-10000-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i320000000000000000000000
χ8244-4-44-2-4-2-2-222221−1−3i32−1+3i32-21−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i32-2-1-11+3i321−3i321+3i321−3i32-1-11+3i321−3i321+3i321−3i3222-2-222-2-2221+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i31-21112-1-1-1-1000011−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i320000000000000000000000
χ8344-4-44-2-4-2-2-222221−1+3i32−1−3i32-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i32-1-11−3i321+3i321−3i321+3i322222-2-222-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31-21112-1-1-1-10000-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i320000000000000000000000
χ8444-4-44-2-4-2-2-222221−1+3i32−1−3i32-21−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i32-2-1-11−3i321+3i321−3i321+3i32-1-11−3i321+3i321−3i321+3i3222-2-222-2-2221−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i31-21112-1-1-1-1000011−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i320000000000000000000000
χ8544-4-4-444-4-44-4-444111-2111-1-1-1-1-1-1-2-1-1-1-1-1-1111111222i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2222-2-222-2-20000−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i0000000000000000000000
χ8644-4-4-444-4-44-4-444111-2111-1-1-1-1-1-1-2-1-1-1-1-1-111111122−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2222-2-222-2-20000iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii0000000000000000000000
χ8744-4-4-444-4-44-4-444-2-2-21-2-2-22222221222222-2-2-2-2-2-2-1-10000000000000000000000001-1-1-111-1-1110000000000000000000000000000000000000022-2-2-1-1110000
χ8844-4-4-444-4-44-4-444-2-2-21-2-2-22222221222222-2-2-2-2-2-2-1-10000000000000000000000001-1-1-111-1-11100000000000000000000000000000000000000-2-22211-1-10000
χ8944-4-4-4-2422-222-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-2-1-11+3i321−3i321+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i32222i2i−2i−2i−2i−2i2i2i2ζ112ζ112ζ72ζ7−2ζ11−2ζ11−2ζ7−2ζ7−2ζ11−2ζ11−2ζ7−2ζ72ζ112ζ112ζ72ζ712-1-11-2-1-1110000−i−i−ζ11−ζ11−ζ7−ζ7iiζ11ζ11ζ7ζ7iiζ11ζ11ζ7ζ7−i−i−ζ11−ζ11−ζ7−ζ70000000000000000000000
χ9044-4-4-4-2422-222-2-21−1−3i32−1+3i32-21−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i32-2-1-11+3i321−3i321+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i3222−2i−2i2i2i2i2i−2i−2i−2ζ11−2ζ11−2ζ7−2ζ72ζ112ζ112ζ72ζ72ζ112ζ112ζ72ζ7−2ζ11−2ζ11−2ζ7−2ζ712-1-11-2-1-1110000iiζ11ζ11ζ7ζ7−i−i−ζ11−ζ11−ζ7−ζ7−i−i−ζ11−ζ11−ζ7−ζ7iiζ11ζ11ζ7ζ70000000000000000000000
χ9144-4-4-4-2422-222-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-2-1-11−3i321+3i321−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i32222i2i−2i−2i−2i−2i2i2i2ζ72ζ72ζ112ζ11−2ζ7−2ζ7−2ζ11−2ζ11−2ζ7−2ζ7−2ζ11−2ζ112ζ72ζ72ζ112ζ1112-1-11-2-1-1110000−i−i−ζ7−ζ7−ζ11−ζ11iiζ7ζ7ζ11ζ11iiζ7ζ7ζ11ζ11−i−i−ζ7−ζ7−ζ11−ζ110000000000000000000000
χ9244-4-4-4-2422-222-2-21−1+3i32−1−3i32-21−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i32-2-1-11−3i321+3i321−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i3222−2i−2i2i2i2i2i−2i−2i−2ζ7−2ζ7−2ζ11−2ζ112ζ72ζ72ζ112ζ112ζ72ζ72ζ112ζ11−2ζ7−2ζ7−2ζ11−2ζ1112-1-11-2-1-1110000iiζ7ζ7ζ11ζ11−i−i−ζ7−ζ7−ζ11−ζ11−i−i−ζ7−ζ7−ζ11−ζ11iiζ7ζ7ζ11ζ110000000000000000000000
χ934-44i−4i04000-44i−4i00111-2-1-1-13-33-3-332i−iii−i−i3i−3i3i−3i−3i3i−2i2i2-2−2i2i2-22i−2i2-22-2−2i2i−2i2i2-22-22i−2i2i−2i-200020−2i2i000000-11-11-11i−ii−ii−i-11-11-11−ii−ii−ii0000000000000000000000
χ944-44i−4i04000-44i−4i00111-2-1-1-13-33-3-332i−iii−i−i3i−3i3i−3i−3i3i−2i2i-222i−2i-22−2i2i-22-222i−2i2i−2i-22-22−2i2i−2i2i-200020−2i2i0000001-11-11-1−ii−ii−ii1-11-11-1i−ii−ii−i0000000000000000000000
χ954-44i−4i04000-44i−4i00111-2-1-1-1-33-333-32i−iii−i−i−3i3i−3i3i3i−3i−2i2i2i−2i2-2−2i2i2-22i−2i2i−2i2-22-2−2i2i−2i2i2-22-2-200020−2i2i000000−ii−ii−ii-11-11-11i−ii−ii−i-11-11-110000000000000000000000
χ964-44i−4i04000-44i−4i00111-2-1-1-1-33-333-32i−iii−i−i−3i3i−3i3i3i−3i−2i2i−2i2i-222i−2i-22−2i2i−2i2i-22-222i−2i2i−2i-22-22-200020−2i2i000000i−ii−ii−i1-11-11-1−ii−ii−ii1-11-11-10000000000000000000000
χ974-44i−4i0-20−2i32i32−2i2i23−231−1−3i32−1+3i32-2-11+3i321−3i323-3−3−i323−i323+i32−3+i322i−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−2i2i2-2−2i2i2-22i−2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ7−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ710i3−i3-10i−i−330000-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ70000000000000000000000
χ984-44i−4i0-20−2i32i32−2i2i23−231−1−3i32−1+3i32-2-11+3i321−3i323-3−3−i323−i323+i32−3+i322i−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ113i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−2i2i-222i−2i-22−2i2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ71+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ710i3−i3-10i−i−3300001-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ70000000000000000000000
χ994-44i−4i0-20−2i32i32−2i2i23−231−1+3i32−1−3i32-2-11−3i321+3i32-333−i32−3−i32−3+i323+i322i−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−2i2i2i−2i2-2−2i2i2-22ζ7−2ζ72ζ11−2ζ11−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ11−1+i31−i3−1−i31+i310i3−i3-10i−i−330000−ii−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i320000000000000000000000
χ1004-44i−4i0-20−2i32i32−2i2i23−231−1+3i32−1−3i32-2-11−3i321+3i32-333−i32−3−i32−3+i323+i322i−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ11−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11−2i2i−2i2i-222i−2i-22−2ζ72ζ7−2ζ112ζ111−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ111−i3−1+i31+i3−1−i310i3−i3-10i−i−330000i−iζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i320000000000000000000000
χ1014-44i−4i0-202i3−2i32−2i2i−23231−1−3i32−1+3i32-2-11+3i321−3i32-333+i32−3+i32−3−i323−i322i−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−2i2i2i−2i2-2−2i2i2-22ζ11−2ζ112ζ7−2ζ7−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ7−1−i31+i3−1+i31−i310−i3i3-10i−i3−30000−ii−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i320000000000000000000000
χ1024-44i−4i0-202i3−2i32−2i2i−23231−1−3i32−1+3i32-2-11+3i321−3i32-333+i32−3+i32−3−i323−i322i−i−ζ7+2ζ112ζ7−ζ11ζ7−2ζ11−2ζ7+ζ11−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ11−2i2i−2i2i-222i−2i-22−2ζ112ζ11−2ζ72ζ71+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ71+i3−1−i31−i3−1+i310−i3i3-10i−i3−30000i−iζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i320000000000000000000000
χ1034-44i−4i0-202i3−2i32−2i2i−23231−1+3i32−1−3i32-2-11−3i321+3i323-3−3+i323+i323−i32−3−i322i−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−2i2i2-2−2i2i2-22i−2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ11−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ1110−i3i3-10i−i3−30000-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ110000000000000000000000
χ1044-44i−4i0-202i3−2i32−2i2i−23231−1+3i32−1−3i32-2-11−3i321+3i323-3−3+i323+i323−i32−3−i322i−i2ζ7−ζ11−ζ7+2ζ11−2ζ7+ζ11ζ7−2ζ113i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−2i2i-222i−2i-22−2i2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ111−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ1110−i3i3-10i−i3−300001-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ110000000000000000000000
χ1054-4−4i4i04000-4−4i4i00111-2-1-1-13-33-3-332−ii−i−iii−3i3i−3i3i3i−3i2i−2i2-22i−2i2-2−2i2i2-22-22i−2i2i−2i2-22-2−2i2i−2i2i-2000202i−2i000000-11-11-11−ii−ii−ii-11-11-11i−ii−ii−i0000000000000000000000
χ1064-4−4i4i04000-4−4i4i00111-2-1-1-13-33-3-332−ii−i−iii−3i3i−3i3i3i−3i2i−2i-22−2i2i-222i−2i-22-22−2i2i−2i2i-22-222i−2i2i−2i-2000202i−2i0000001-11-11-1i−ii−ii−i1-11-11-1−ii−ii−ii0000000000000000000000
χ1074-4−4i4i04000-4−4i4i00111-2-1-1-1-33-333-32−ii−i−iii3i−3i3i−3i−3i3i2i−2i2i−2i-22−2i2i-222i−2i2i−2i-22-22−2i2i−2i2i-22-22-2000202i−2i000000−ii−ii−ii1-11-11-1i−ii−ii−i1-11-11-10000000000000000000000
χ1084-4−4i4i04000-4−4i4i00111-2-1-1-1-33-333-32−ii−i−iii3i−3i3i−3i−3i3i2i−2i−2i2i2-22i−2i2-2−2i2i−2i2i2-22-22i−2i2i−2i2-22-2-2000202i−2i000000i−ii−ii−i-11-11-11−ii−ii−ii-11-11-110000000000000000000000
χ1094-4−4i4i0-20−2i32i322i−2i−23231−1−3i32−1+3i32-2-11+3i321−3i323-3−3−i323−i323+i32−3+i322−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ112i−2i2-22i−2i2-2−2i2i−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ7−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ710i3−i3-10−ii3−30000-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i32i−iζ11−ζ11ζ7−ζ70000000000000000000000
χ1104-4−4i4i0-20−2i32i322i−2i−23231−1−3i32−1+3i32-2-11+3i321−3i323-3−3−i323−i323+i32−3+i322−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ11−3i3i−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ112i−2i-22−2i2i-222i−2i1+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ71+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ710i3−i3-10−ii3−300001-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i32−ii−ζ11ζ11−ζ7ζ70000000000000000000000
χ1114-4−4i4i0-20−2i32i322i−2i−23231−1+3i32−1−3i32-2-11−3i321+3i32-333−i32−3−i32−3+i323+i322−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ112i−2i2i−2i-22−2i2i-222ζ7−2ζ72ζ11−2ζ111−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ111−i3−1+i31+i3−1−i310i3−i3-10−ii3−30000−ii−ζ7ζ7−ζ11ζ111-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i320000000000000000000000
χ1124-4−4i4i0-20−2i32i322i−2i−23231−1+3i32−1−3i32-2-11−3i321+3i32-333−i32−3−i32−3+i323+i322−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ113i−3i2ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ112i−2i−2i2i2-22i−2i2-2−2ζ72ζ7−2ζ112ζ11−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ11−1+i31−i3−1−i31+i310i3−i3-10−ii3−30000i−iζ7−ζ7ζ11−ζ11-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i320000000000000000000000
χ1134-4−4i4i0-202i3−2i322i−2i23−231−1−3i32−1+3i32-2-11+3i321−3i32-333+i32−3+i32−3−i323−i322−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ112i−2i2i−2i-22−2i2i-222ζ11−2ζ112ζ7−2ζ71+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ71+i3−1−i31−i3−1+i310−i3i3-10−ii−330000−ii−ζ11ζ11−ζ7ζ71-1−1−i321+i32−1+i321−i32i−iζ11−ζ11ζ7−ζ71-1−1−i321+i32−1+i321−i320000000000000000000000
χ1144-4−4i4i0-202i3−2i322i−2i23−231−1−3i32−1+3i32-2-11+3i321−3i32-333+i32−3+i32−3−i323−i322−iiζ7−2ζ11−2ζ7+ζ11−ζ7+2ζ112ζ7−ζ113i−3iζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ112i−2i−2i2i2-22i−2i2-2−2ζ112ζ11−2ζ72ζ7−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ7−1−i31+i3−1+i31−i310−i3i3-10−ii−330000i−iζ11−ζ11ζ7−ζ7-111+i32−1−i321−i32−1+i32−ii−ζ11ζ11−ζ7ζ7-111+i32−1−i321−i32−1+i320000000000000000000000
χ1154-4−4i4i0-202i3−2i322i−2i23−231−1+3i32−1−3i32-2-11−3i321+3i323-3−3+i323+i323−i32−3−i322−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ112i−2i2-22i−2i2-2−2i2i−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ11−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ1110−i3i3-10−ii−330000-111−i32−1+i321+i32−1−i32−ii−ζ7ζ7−ζ11ζ11-111−i32−1+i321+i32−1−i32i−iζ7−ζ7ζ11−ζ110000000000000000000000
χ1164-4−4i4i0-202i3−2i322i−2i23−231−1+3i32−1−3i32-2-11−3i321+3i323-3−3+i323+i323−i32−3−i322−ii−2ζ7+ζ11ζ7−2ζ112ζ7−ζ11−ζ7+2ζ11−3i3i−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ112i−2i-22−2i2i-222i−2i1−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ111−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ1110−i3i3-10−ii−3300001-1−1+i321−i32−1−i321+i32i−iζ7−ζ7ζ11−ζ111-1−1+i321−i32−1−i321+i32−ii−ζ7ζ7−ζ11ζ110000000000000000000000
χ11788888-48-4-4-4-4-4-4-4-4222-422-4-422222-4-42222-4-4222222000000000000000000000000-12-1-1-12-1-1-1-100000000000000000000000000000000000000000000000000
χ1188888-8-4-844-4-4-444-4222-42244-2-2-2-22-4-4222244-2-2-2-222000000000000000000000000-1-211-1-2-1-11100000000000000000000000000000000000000000000000000
χ11988-8-88-4-8-4-4-44444-4222-422-4-42222244-2-2-2-244-2-2-2-2-2-2000000000000000000000000-12-1-1-1-2111100000000000000000000000000000000000000000000000000
χ12088-8-8-8-4844-444-4-4-4222-42244-2-2-2-2244-2-2-2-2-4-42222-2-2000000000000000000000000-1-211-1211-1-100000000000000000000000000000000000000000000000000
χ1218-88i−8i08000-88i−8i00-4-4-42444000000-2−4i4i−4i−4i4i4i0000002i−2i0000000000000000000000002000-202i−2i0000000000000000000000000000000000000000000000000000
χ1228-88i−8i0-40−4i34i34−4i4i43−43-42224-2-2002i32i3−2i3−2i3-2−4i4i2i2i−2i−2i00−23−2323232i−2i000000000000000000000000-10−i3i310−ii3−300000000000000000000000000000000000000000000000000
χ1238-88i−8i0-404i3−4i34−4i4i−4343-42224-2-200−2i3−2i32i32i3-2−4i4i2i2i−2i−2i002323−23−232i−2i000000000000000000000000-10i3−i310−ii−3300000000000000000000000000000000000000000000000000
χ1248-8−8i8i08000-8−8i8i00-4-4-42444000000-24i−4i4i4i−4i−4i000000−2i2i0000000000000000000000002000-20−2i2i0000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-40−4i34i344i−4i−4343-42224-2-2002i32i3−2i3−2i3-24i−4i−2i−2i2i2i002323−23−23−2i2i000000000000000000000000-10−i3i310i−i−3300000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-404i3−4i344i−4i43−43-42224-2-200−2i3−2i32i32i3-24i−4i−2i−2i2i2i00−23−232323−2i2i000000000000000000000000-10i3−i310i−i3−300000000000000000000000000000000000000000000000000

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