Finite Group Databasebeta

← Group #11787045

Character table — Group #11787045

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222222224444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121272727272
order12224444223344666666666688881212121212121212121212122424242424242424366666666688121212121212121212122424242424242424242424242424242424242424242424242424242422444444666688888888121212121212121212121212242424242424242424242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ7111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ8111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111
χ91111-1-1-1-1-1-1111111-1-1111-1-11ii−i−i11-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-111-1-1-1-11i−i111111-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1111ii−i−i11-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1iiii−i−i−i−i1-1i−i
χ101111-1-1-1-1-1-1111111-1-1111-1-11ii−i−i11-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-111-1-1-1-11i−i111111-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii1111ii−i−i-1-111−i−i−i−iiiii-1-1-1-1-1-1-1-11111iiii−i−i−i−i-11−ii
χ111111-1-1-1-1-1-1111111-1-1111-1-11ii−i−i11-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-111-1-1-1-11i−i111111-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i-1-1-1-1−i−iii11-1-1iiii−i−i−i−i11111111-1-1-1-1−i−i−i−iiiii-11−ii
χ121111-1-1-1-1-1-1111111-1-1111-1-11ii−i−i11-1-1-1-1-1-111-1-1iiii−i−i−i−i1-1-111-1-1-1-11i−i111111-1-1-1-1iiii−i−i−i−iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-1-1-1−i−iii-1-111−i−i−i−iiiii1111-1-1-1-11111−i−i−i−iiiii1-1i−i
χ131111-1-1-1-1-1-1111111-1-1111-1-11−i−iii11-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-111-1-1-1-11−ii111111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i1111−i−iii-1-111iiii−i−i−i−i-1-1-1-1-1-1-1-11111−i−i−i−iiiii-11i−i
χ141111-1-1-1-1-1-1111111-1-1111-1-11−i−iii11-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-111-1-1-1-11−ii111111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1111−i−iii11-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1−i−i−i−iiiii1-1−ii
χ151111-1-1-1-1-1-1111111-1-1111-1-11−i−iii11-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-111-1-1-1-11−ii111111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-1-1-1ii−i−i-1-111iiii−i−i−i−i1111-1-1-1-11111iiii−i−i−i−i1-1−ii
χ161111-1-1-1-1-1-1111111-1-1111-1-11−i−iii11-1-1-1-1-1-111-1-1−i−i−i−iiiii1-1-111-1-1-1-11−ii111111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii-1-1-1-1ii−i−i11-1-1−i−i−i−iiiii11111111-1-1-1-1iiii−i−i−i−i-11i−i
χ1722222222222-1222222-1-1222-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-12222000000000000-1-1-1-100000000-1-1-1-1-1-1-1-10000
χ1822222222222-1222222-1-1222-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111-2-2-2-2000000000000111100000000111111110000
χ1922222222222-1222222-1-1222-1-2-2-2-22222-1-12222-1-111111111-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111122220000-1-1-1-1-2-2-2-2000000000000-1-1-1-100000000111111110000
χ2022222222222-1222222-1-1222-1-2-2-2-22222-1-12222-1-111111111-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111-2-2-2-2000011112222000000000000111100000000-1-1-1-1-1-1-1-10000
χ212222222222-1222-1-1-1-122-1-1-122222-1-1-1-122-1-1-1-12222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000002222-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1000000000000
χ222222222222-1222-1-1-1-122-1-1-122222-1-1-1-122-1-1-1-12222222222-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2-2-211111111000011111111000000000000
χ232222222222-1222-1-1-1-122-1-1-12-2-2-2-2-1-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-111111111-2-2-2-211111111111111110000222200000000-2-2-2-2-1-1-1-1-1-1-1-1000011111111000000000000
χ242222222222-1222-1-1-1-122-1-1-12-2-2-2-2-1-1-1-122-1-1-1-122-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-111111111-2-2-2-211111111111111110000-2-2-2-2000000002222111111110000-1-1-1-1-1-1-1-1000000000000
χ2522222222-2-222-2-222-2-2222-2-222222-2-2222222-2-222222222222-2-222-2-2-2-22-2-2-2-2-2-2-2-2222222-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000000000
χ2622222222-2-222-2-222-2-2222-2-22-2-2-2-2-2-2222222-2-222-2-2-2-2-2-2-2-22-2-222-2-2-2-2222-2-2-2-2-2-22222-2-222-2-2222222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000000000
χ2722222222-2-22-1-2-222-2-2-1-12-2-2-12222-2-222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-2-2111111-1-1-1-122-2-222-2-21111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i30000000000000000−i3−i3i3i300000000−i3−i3i3i3−i3−i3i3i30000
χ2822222222-2-22-1-2-222-2-2-1-12-2-2-12222-2-222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-2-2111111-1-1-1-122-2-222-2-21111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i30000000000000000i3i3−i3−i300000000i3i3−i3−i3i3i3−i3−i30000
χ2922222222-2-22-1-2-222-2-2-1-12-2-2-1-2-2-2-2-2-222-1-122-2-2-1-111111111-111-1-11111-122111111-1-1-1-1-2-222-2-222-1-1-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i30000000000000000−i3−i3i3i300000000i3i3−i3−i3i3i3−i3−i30000
χ3022222222-2-22-1-2-222-2-2-1-12-2-2-1-2-2-2-2-2-222-1-122-2-2-1-111111111-111-1-11111-122111111-1-1-1-1-2-222-2-222-1-1-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i30000000000000000i3i3−i3−i300000000−i3−i3i3i3−i3−i3i3i30000
χ3122222222-2-2-12-2-2-1-11122-1112222211-1-122-1-1112222222222-1-2-2-1-11111-1-2-2-2-21111-1-1-1-1-1-111-1-111-2-2-2-2-1-1-1-11111-1-1-1-111110000000000000000000033−3−333−3−3000033−3−333−3−3000000000000
χ3222222222-2-2-12-2-2-1-11122-1112222211-1-122-1-1112222222222-1-2-2-1-11111-1-2-2-2-21111-1-1-1-1-1-111-1-111-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000−3−333−3−3330000−3−333−3−333000000000000
χ3322222222-2-2-12-2-2-1-11122-1112-2-2-2-211-1-122-1-11122-2-2-2-2-2-2-2-2-1-2-2-1-11111-122-2-21111-1-1-1-111-1-111-1-122221111-1-1-1-11111-1-1-1-10000000000000000000033−3−333−3−30000−3−333−3−333000000000000
χ3422222222-2-2-12-2-2-1-11122-1112-2-2-2-211-1-122-1-11122-2-2-2-2-2-2-2-2-1-2-2-1-11111-122-2-21111-1-1-1-111-1-111-1-122221111-1-1-1-11111-1-1-1-100000000000000000000−3−333−3−333000033−3−333−3−3000000000000
χ352222-2-2-2-22222-2-222222222222i2i−2i−2i-2-2-2-2-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i2222222222−2i2i-2-2-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000
χ362222-2-2-2-22222-2-22222222222−2i−2i2i2i-2-2-2-2-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i22222222222i−2i-2-2-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000
χ372222-2-2-2-2222-1-2-22222-1-1222-12i2i−2i−2i-2-2-2-211-2-2-2-211−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1−2i2i11111111112i2i−2i−2i−2i−2i2i2iii−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000−i3−i3i3i30000000000000000i3i3−i3−i30000000033−3−3−3−3330000
χ382222-2-2-2-2222-1-2-22222-1-1222-12i2i−2i−2i-2-2-2-211-2-2-2-211−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1−2i2i11111111112i2i−2i−2i−2i−2i2i2iii−i−i−i−i−i−iiiiiiiii−i−i−i−i00000000i3i3−i3−i30000000000000000−i3−i3i3i300000000−3−33333−3−30000
χ392222-2-2-2-2222-1-2-22222-1-1222-1−2i−2i2i2i-2-2-2-211-2-2-2-211iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-12i−2i1111111111−2i−2i2i2i2i2i−2i−2i−i−iiiiiii−i−i−i−i−i−i−i−iiiii00000000−i3−i3i3i30000000000000000i3i3−i3−i300000000−3−33333−3−30000
χ402222-2-2-2-2222-1-2-22222-1-1222-1−2i−2i2i2i-2-2-2-211-2-2-2-211iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-12i−2i1111111111−2i−2i2i2i2i2i−2i−2i−i−iiiiiii−i−i−i−i−i−i−i−iiiii00000000i3i3−i3−i30000000000000000−i3−i3i3i30000000033−3−3−3−3330000
χ412222-2-2-2-222-12-2-2-1-1-1-122-1-1-122i2i−2i−2i1111-2-21111-2-22i2i2i2i−2i−2i−2i−2i-122-1-1-1-1-1-1-1−2i2i-2-211111111−i−iiiii−i−i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000−i3−i3i3i3i3i3−i3−i30000−3−33333−3−3000000000000
χ422222-2-2-2-222-12-2-2-1-1-1-122-1-1-122i2i−2i−2i1111-2-21111-2-22i2i2i2i−2i−2i−2i−2i-122-1-1-1-1-1-1-1−2i2i-2-211111111−i−iiiii−i−i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000i3i3−i3−i3−i3−i3i3i3000033−3−3−3−333000000000000
χ432222-2-2-2-222-12-2-2-1-1-1-122-1-1-12−2i−2i2i2i1111-2-21111-2-2−2i−2i−2i−2i2i2i2i2i-122-1-1-1-1-1-1-12i−2i-2-211111111ii−i−i−i−iii2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000−i3−i3i3i3i3i3−i3−i3000033−3−3−3−333000000000000
χ442222-2-2-2-222-12-2-2-1-1-1-122-1-1-12−2i−2i2i2i1111-2-21111-2-2−2i−2i−2i−2i2i2i2i2i-122-1-1-1-1-1-1-12i−2i-2-211111111ii−i−i−i−iii2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000i3i3−i3−i3−i3−i3i3i30000−3−33333−3−3000000000000
χ452222-2-2-2-2-2-22-12222-2-2-1-12-2-2-12i2i−2i−2i22-2-211-2-22211−i−i−i−iiiii-111-1-11111-12i−2i-1-1-1-1-1-111112i2i2i2i−2i−2i−2i−2i−i−iii−i−i−i−i−i−i−i−iiiiiiiii22-2-20000-1-1-1-12i2i−2i−2i000000000000111100000000−i−i−i−iiiii0000
χ462222-2-2-2-2-2-22-12222-2-2-1-12-2-2-12i2i−2i−2i22-2-211-2-22211−i−i−i−iiiii-111-1-11111-12i−2i-1-1-1-1-1-111112i2i2i2i−2i−2i−2i−2i−i−iii−i−i−i−i−i−i−i−iiiiiiiii-2-22200001111−2i−2i2i2i000000000000-1-1-1-100000000iiii−i−i−i−i0000
χ472222-2-2-2-2-2-22-12222-2-2-1-12-2-2-1−2i−2i2i2i22-2-211-2-22211iiii−i−i−i−i-111-1-11111-1−2i2i-1-1-1-1-1-11111−2i−2i−2i−2i2i2i2i2iii−i−iiiiiiiii−i−i−i−i−i−i−i−i22-2-20000-1-1-1-1−2i−2i2i2i000000000000111100000000iiii−i−i−i−i0000
χ482222-2-2-2-2-2-22-12222-2-2-1-12-2-2-1−2i−2i2i2i22-2-211-2-22211iiii−i−i−i−i-111-1-11111-1−2i2i-1-1-1-1-1-11111−2i−2i−2i−2i2i2i2i2iii−i−iiiiiiiii−i−i−i−i−i−i−i−i-2-222000011112i2i−2i−2i000000000000-1-1-1-100000000−i−i−i−iiiii0000
χ492222-2-2-2-2-2-2-1222-1-11122-11122i2i−2i−2i-1-111-2-211-1-1-2-22i2i2i2i−2i−2i−2i−2i-1-2-2-1-11111-12i−2i22-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii00002i2i−2i−2i0000000022-2-2−i−i−i−iiiii0000-1-1-1-11111000000000000
χ502222-2-2-2-2-2-2-1222-1-11122-11122i2i−2i−2i-1-111-2-211-1-1-2-22i2i2i2i−2i−2i−2i−2i-1-2-2-1-11111-12i−2i22-1-1-1-11111−i−i−i−iiiii2i2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii0000−2i−2i2i2i00000000-2-222iiii−i−i−i−i00001111-1-1-1-1000000000000
χ512222-2-2-2-2-2-2-1222-1-11122-1112−2i−2i2i2i-1-111-2-211-1-1-2-2−2i−2i−2i−2i2i2i2i2i-1-2-2-1-11111-1−2i2i22-1-1-1-11111iiii−i−i−i−i−2i−2i2i2iiiiiiiii−i−i−i−i−i−i−i−i00002i2i−2i−2i00000000-2-222−i−i−i−iiiii00001111-1-1-1-1000000000000
χ522222-2-2-2-2-2-2-1222-1-11122-1112−2i−2i2i2i-1-111-2-211-1-1-2-2−2i−2i−2i−2i2i2i2i2i-1-2-2-1-11111-1−2i2i22-1-1-1-11111iiii−i−i−i−i−2i−2i2i2iiiiiiiii−i−i−i−i−i−i−i−i0000−2i−2i2i2i0000000022-2-2iiii−i−i−i−i0000-1-1-1-11111000000000000
χ5322-2-222-2-22-2222-2-2-222-2-22-2-220000222222-2-2-2-2-2-20000000022-2-2-222-2-22002-222-2-222-2-200000000000000000000000000002-22-200002-22-200000000000000002-22-200000000000000000000
χ5422-2-222-2-22-2222-2-2-222-2-22-2-220000222222-2-2-2-2-2-20000000022-2-2-222-2-22002-222-2-222-2-20000000000000000000000000000-22-220000-22-220000000000000000-22-2200000000000000000000
χ5522-2-222-2-22-22-12-2-2-222112-2-2-100002222-1-1-2-2-2-21133−3−333−3−3-1-1111-1-111-100-11-1-111-1-111000000003−33−333−3−333−3−333−3−333−3−32-22-20000-11-110000000000000000-11-11000000003−33−33−33−30000
χ5622-2-222-2-22-22-12-2-2-222112-2-2-100002222-1-1-2-2-2-21133−3−333−3−3-1-1111-1-111-100-11-1-111-1-111000000003−33−333−3−333−3−333−3−333−3−3-22-2200001-11-100000000000000001-11-100000000−33−33−33−330000
χ5722-2-222-2-22-22-12-2-2-222112-2-2-100002222-1-1-2-2-2-211−3−333−3−333-1-1111-1-111-100-11-1-111-1-11100000000−33−33−3−333−3−333−3−333−3−3332-22-20000-11-110000000000000000-11-1100000000−33−33−33−330000
χ5822-2-222-2-22-22-12-2-2-222112-2-2-100002222-1-1-2-2-2-211−3−333−3−333-1-1111-1-111-100-11-1-111-1-11100000000−33−33−3−333−3−333−3−333−3−333-22-2200001-11-100000000000000001-11-1000000003−33−33−33−30000
χ5922-2-222-2-2-2222-22-2-2-2-2-2-222220000-2-22222-2-222-2-2000000002-22-2-2-2-222200-22-2-22222-2-200000000000000000000000000000000000000002i−2i2i−2i0000000000000000000000002i−2i−2i2i2i−2i−2i2i0000
χ6022-2-222-2-2-2222-22-2-2-2-2-2-222220000-2-22222-2-222-2-2000000002-22-2-2-2-222200-22-2-22222-2-20000000000000000000000000000000000000000−2i2i−2i2i000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000
χ6122-2-222-2-2-222-1-22-2-2-2-211222-10000-2-222-1-1-2-2221133−3−333−3−3-11-11111-1-1-1001-111-1-1-1-11100000000−33−3333−3−3−3−33333−3−3−3−33300000000−i3i3i3−i32i−2i2i−2i000000000000−i3i3i3−i300000000−iii−i−iii−i0000
χ6222-2-222-2-2-222-1-22-2-2-2-211222-10000-2-222-1-1-2-2221133−3−333−3−3-11-11111-1-1-1001-111-1-1-1-11100000000−33−3333−3−3−3−33333−3−3−3−33300000000i3−i3−i3i3−2i2i−2i2i000000000000i3−i3−i3i300000000i−i−iii−i−ii0000
χ6322-2-222-2-2-222-1-22-2-2-2-211222-10000-2-222-1-1-2-22211−3−333−3−333-11-11111-1-1-1001-111-1-1-1-111000000003−33−3−3−33333−3−3−3−33333−3−300000000−i3i3i3−i3−2i2i−2i2i000000000000−i3i3i3−i300000000i−i−iii−i−ii0000
χ6422-2-222-2-2-222-1-22-2-2-2-211222-10000-2-222-1-1-2-22211−3−333−3−333-11-11111-1-1-1001-111-1-1-1-111000000003−33−3−3−33333−3−3−3−33333−3−300000000i3−i3−i3i32i−2i2i−2i000000000000i3−i3−i3i300000000−iii−i−iii−i0000
χ6522-2-2-2-2222-222-22-2-222-2-22-2-220000-2-2-2-2-2-22222220000000022-2-2-222-2-2200-22-2-222-2-22200000000000000000000000000000000000000002-2-220000000000000000000000002-2-22-222-20000
χ6622-2-2-2-2222-222-22-2-222-2-22-2-220000-2-2-2-2-2-22222220000000022-2-2-222-2-2200-22-2-222-2-2220000000000000000000000000000000000000000-222-2000000000000000000000000-222-22-2-220000
χ6722-2-2-2-2222-22-1-22-2-222112-2-2-10000-2-2-2-2112222-1-1−i3−i3i3i3i3i3−i3−i3-1-1111-1-111-1001-111-1-111-1-100000000i3−i3−i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000−i3i3i3−i32-2-22000000000000i3−i3−i3i300000000-111-11-1-110000
χ6822-2-2-2-2222-22-1-22-2-222112-2-2-10000-2-2-2-2112222-1-1−i3−i3i3i3i3i3−i3−i3-1-1111-1-111-1001-111-1-111-1-100000000i3−i3−i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000i3−i3−i3i3-222-2000000000000−i3i3i3−i3000000001-1-11-111-10000
χ6922-2-2-2-2222-22-1-22-2-222112-2-2-10000-2-2-2-2112222-1-1i3i3−i3−i3−i3−i3i3i3-1-1111-1-111-1001-111-1-111-1-100000000−i3i3i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000−i3i3i3−i3-222-2000000000000i3−i3−i3i3000000001-1-11-111-10000
χ7022-2-2-2-2222-22-1-22-2-222112-2-2-10000-2-2-2-2112222-1-1i3i3−i3−i3−i3−i3i3i3-1-1111-1-111-1001-111-1-111-1-100000000−i3i3i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000i3−i3−i3i32-2-22000000000000−i3i3i3−i300000000-111-11-1-110000
χ7122-2-2-2-222-22222-2-2-2-2-2-2-22222000022-2-2-2-222-2-222000000002-22-2-2-2-2222002-222-2-2-2-22200000000000000000000000000002-2-2200002-22-20000000000000000-22-2200000000000000000000
χ7222-2-2-2-222-22222-2-2-2-2-2-2-22222000022-2-2-2-222-2-222000000002-22-2-2-2-2222002-222-2-2-2-2220000000000000000000000000000-222-20000-22-2200000000000000002-22-200000000000000000000
χ7322-2-2-2-222-222-12-2-2-2-2-211222-1000022-2-21122-2-2-1-1−i3−i3i3i3i3i3−i3−i3-11-11111-1-1-100-11-1-11111-1-100000000−i3i3i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32-2-220000-11-1100000000000000001-11-100000000−i3i3−i3i3i3−i3i3−i30000
χ7422-2-2-2-222-222-12-2-2-2-2-211222-1000022-2-21122-2-2-1-1−i3−i3i3i3i3i3−i3−i3-11-11111-1-1-100-11-1-11111-1-100000000−i3i3i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-222-200001-11-10000000000000000-11-1100000000i3−i3i3−i3−i3i3−i3i30000
χ7522-2-2-2-222-222-12-2-2-2-2-211222-1000022-2-21122-2-2-1-1i3i3−i3−i3−i3−i3i3i3-11-11111-1-1-100-11-1-11111-1-100000000i3−i3−i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32-2-220000-11-1100000000000000001-11-100000000i3−i3i3−i3−i3i3−i3i30000
χ7622-2-2-2-222-222-12-2-2-2-2-211222-1000022-2-21122-2-2-1-1i3i3−i3−i3−i3−i3i3i3-11-11111-1-1-100-11-1-11111-1-100000000i3−i3−i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-222-200001-11-10000000000000000-11-1100000000−i3i3−i3i3i3−i3i3−i30000
χ772-22-22i−2i2i−2i0022002-2002-2-200-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i2i−2i002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132002-20000-2000000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000001+i−1−i1−i−1+i000000002−2−i2i21+i−1−i1+i−1−i1−i−1+i1−i−1+i00002−22−2−i2i2−i2i2000000000000
χ782-22-22i−2i2i−2i0022002-2002-2-200-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i2i−2i002i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132002-20000-2000000002i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000−1−i1+i−1+i1−i00000000−22i2−i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000−22−22i2−i2i2−i2000000000000
χ792-22-22i−2i2i−2i0022002-2002-2-200-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i2i−2i2i−2i002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132002-20000-2000000002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000001+i−1−i1−i−1+i00000000−22i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i0000−22−22i2−i2i2−i2000000000000
χ802-22-22i−2i2i−2i0022002-2002-2-200-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i2i−2i2i−2i002i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132002-20000-2000000002i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000−1−i1+i−1+i1−i000000002−2−i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i00002−22−2−i2i2−i2i2000000000000
χ812-22-22i−2i2i−2i00-1200-11−i3i32-21−i3i3-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii2i−2i−ii3−32i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13-100-11−i3i3−i3i3100003−33−3−ii−ii−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ230000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300001+i−1−i1−i−1+i000000002−2−i2i2−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ140000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ822-22-22i−2i2i−2i00-1200-11−i3i32-21−i3i3-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−3−ii2i−2i−ii3−32i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13-100-11−i3i3−i3i3100003−33−3−ii−ii−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ230000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000−1−i1+i−1+i1−i00000000−22i2−i2ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ140000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ832-22-22i−2i2i−2i00-1200-11−i3i32-21−i3i3-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−ii2i−2i−ii3−32i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13-100-11−i3i3−i3i3100003−33−3−ii−iiζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ230000ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300001+i−1−i1−i−1+i00000000−22i2−i2−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ140000−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ842-22-22i−2i2i−2i00-1200-11−i3i32-21−i3i3-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−3−ii2i−2i−ii3−32i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13-100-11−i3i3−i3i3100003−33−3−ii−iiζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ230000ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000−1−i1+i−1+i1−i000000002−2−i2i2ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ140000ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ852-22-22i−2i2i−2i00-1200-11i3−i32-21i3−i3-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−ii2i−2i−ii−332i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13-100-11i3−i3i3−i310000−33−33−ii−ii−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300001+i−1−i1−i−1+i000000002−2−i2i2−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ220000ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.