Finite Group Databasebeta

← Group #11787058

Character table — Group #11787058

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222444444444444444444448888888888121212121212121224242424111122222222222222444444444444444444448888888888121212121212121224242424111122222222222222444444444444444444448888888888121212121212121224242424
order1222222222366666664444444466661212121212121212441212121212121212224444444444366666666636666666121212121212121266661212121212121212121212121212121212126612121212121212121212366666666636666666121212121212121266661212121212121212121212121212121212126612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1
χ911-1-11-1-111-111-1-111-1-1i−ii−iii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1i−i1-11-1i−ii−ii−i1-111-1-11-1-111-111-1-111-1-1i−ii−iii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1i−i1-11-1i−ii−ii−i1-111-1-11-1-111-111-1-111-1-1i−ii−iii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1i−i1-11-1i−ii−ii−i1-1
χ1011-1-11-1-111-111-1-111-1-1i−ii−iii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1i−i-11-11−ii−ii−ii-1111-1-11-1-111-111-1-111-1-1i−ii−iii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1i−i-11-11−ii−ii−ii-1111-1-11-1-111-111-1-111-1-1i−ii−iii−i−i11-1-1iiii−i−i−i−i1-1i−i11-1-1i−i-11-11−ii−ii−ii-11
χ1111-1-11-1-111-111-1-111-1-1i−ii−i−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111i−i1-11-1i−ii−i−ii-1111-1-11-1-111-111-1-111-1-1i−ii−i−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111i−i1-11-1i−ii−i−ii-1111-1-11-1-111-111-1-111-1-1i−ii−i−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111i−i1-11-1i−ii−i−ii-11
χ1211-1-11-1-111-111-1-111-1-1i−ii−i−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111i−i-11-11−ii−iii−i1-111-1-11-1-111-111-1-111-1-1i−ii−i−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111i−i-11-11−ii−iii−i1-111-1-11-1-111-111-1-111-1-1i−ii−i−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111i−i-11-11−ii−iii−i1-1
χ1311-1-11-1-111-111-1-111-1-1−ii−iiii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ii1-11-1−ii−iii−i-1111-1-11-1-111-111-1-111-1-1−ii−iiii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ii1-11-1−ii−iii−i-1111-1-11-1-111-111-1-111-1-1−ii−iiii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ii1-11-1−ii−iii−i-11
χ1411-1-11-1-111-111-1-111-1-1−ii−iiii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ii-11-11i−ii−i−ii1-111-1-11-1-111-111-1-111-1-1−ii−iiii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ii-11-11i−ii−i−ii1-111-1-11-1-111-111-1-111-1-1−ii−iiii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ii-11-11i−ii−i−ii1-1
χ1511-1-11-1-111-111-1-111-1-1−ii−ii−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ii1-11-1−ii−ii−ii1-111-1-11-1-111-111-1-111-1-1−ii−ii−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ii1-11-1−ii−ii−ii1-111-1-11-1-111-111-1-111-1-1−ii−ii−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ii1-11-1−ii−ii−ii1-1
χ1611-1-11-1-111-111-1-111-1-1−ii−ii−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ii-11-11i−ii−ii−i-1111-1-11-1-111-111-1-111-1-1−ii−ii−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ii-11-11i−ii−ii−i-1111-1-11-1-111-111-1-111-1-1−ii−ii−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ii-11-11i−ii−ii−i-11
χ172222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000002222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000
χ182222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-1-11111-1-10000000000002222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-1-11111-1-10000000000002222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-1-11111-1-1000000000000
χ192222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111110000000000002222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111110000000000002222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000
χ202222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111112211-1-1-1-1110000000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111112211-1-1-1-1110000000000002222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111112211-1-1-1-111000000000000
χ2122222-2-2-2-2222-2-2-2-222000000002-22-200000000000000000022-2-20000000022222-2-2-2-2222-2-2-2-222000000002-22-200000000000000000022-2-20000000022222-2-2-2-2222-2-2-2-222000000002-22-200000000000000000022-2-200000000
χ2222222-2-2-2-2222-2-2-2-222000000002-22-2000000000000000000-2-2220000000022222-2-2-2-2222-2-2-2-222000000002-22-2000000000000000000-2-2220000000022222-2-2-2-2222-2-2-2-222000000002-22-2000000000000000000-2-22200000000
χ232222-22-22-2-22222222222-2-20000-2-2-2-20000000000220000-2-20000000000002222-22-22-2-22222222222-2-20000-2-2-2-20000000000220000-2-20000000000002222-22-22-2-22222222222-2-20000-2-2-2-20000000000220000-2-2000000000000
χ242222-22-22-2-222222222-2-2220000-2-2-2-20000000000-2-20000220000000000002222-22-22-2-222222222-2-2220000-2-2-2-20000000000-2-20000220000000000002222-22-22-2-222222222-2-2220000-2-2-2-20000000000-2-2000022000000000000
χ252222-22-22-2-2-1-1-1-1-1-1-1-122-2-200001111−i3−i3i3i3−i3−i3i3i300-1-1−i3i3−i3i3110000000000002222-22-22-2-2-1-1-1-1-1-1-1-122-2-200001111−i3−i3i3i3−i3−i3i3i300-1-1−i3i3−i3i3110000000000002222-22-22-2-2-1-1-1-1-1-1-1-122-2-200001111−i3−i3i3i3−i3−i3i3i300-1-1−i3i3−i3i311000000000000
χ262222-22-22-2-2-1-1-1-1-1-1-1-122-2-200001111i3i3−i3−i3i3i3−i3−i300-1-1i3−i3i3−i3110000000000002222-22-22-2-2-1-1-1-1-1-1-1-122-2-200001111i3i3−i3−i3i3i3−i3−i300-1-1i3−i3i3−i3110000000000002222-22-22-2-2-1-1-1-1-1-1-1-122-2-200001111i3i3−i3−i3i3i3−i3−i300-1-1i3−i3i3−i311000000000000
χ272222-22-22-2-2-1-1-1-1-1-1-1-1-2-22200001111−i3−i3i3i3−i3−i3i3i30011i3−i3i3−i3-1-10000000000002222-22-22-2-2-1-1-1-1-1-1-1-1-2-22200001111−i3−i3i3i3−i3−i3i3i30011i3−i3i3−i3-1-10000000000002222-22-22-2-2-1-1-1-1-1-1-1-1-2-22200001111−i3−i3i3i3−i3−i3i3i30011i3−i3i3−i3-1-1000000000000
χ282222-22-22-2-2-1-1-1-1-1-1-1-1-2-22200001111i3i3−i3−i3i3i3−i3−i30011−i3i3−i3i3-1-10000000000002222-22-22-2-2-1-1-1-1-1-1-1-1-2-22200001111i3i3−i3−i3i3i3−i3−i30011−i3i3−i3i3-1-10000000000002222-22-22-2-2-1-1-1-1-1-1-1-1-2-22200001111i3i3−i3−i3i3i3−i3−i30011−i3i3−i3i3-1-1000000000000
χ292222-2-22-22-222-2-2-2-22200000000-22-22000000000000000000000022-2-200002222-2-22-22-222-2-2-2-22200000000-22-22000000000000000000000022-2-200002222-2-22-22-222-2-2-2-22200000000-22-22000000000000000000000022-2-20000
χ302222-2-22-22-222-2-2-2-22200000000-22-220000000000000000000000-2-22200002222-2-22-22-222-2-2-2-22200000000-22-220000000000000000000000-2-22200002222-2-22-22-222-2-2-2-22200000000-22-220000000000000000000000-2-2220000
χ3122-2-2222-2-2-22222-2-2-2-2000000002-2-220000000000000000002-2-220000000022-2-2222-2-2-22222-2-2-2-2000000002-2-220000000000000000002-2-220000000022-2-2222-2-2-22222-2-2-2-2000000002-2-220000000000000000002-2-2200000000
χ3222-2-2222-2-2-22222-2-2-2-2000000002-2-22000000000000000000-222-20000000022-2-2222-2-2-22222-2-2-2-2000000002-2-22000000000000000000-222-20000000022-2-2222-2-2-22222-2-2-2-2000000002-2-22000000000000000000-222-200000000
χ3322-2-22-2-222-2-1-111-1-1112i−2i2i−2i2i2i−2i−2i-1-111−i−i−i−iiiii2-2−ii-1-111−ii00000000000022-2-22-2-222-2-1-111-1-1112i−2i2i−2i2i2i−2i−2i-1-111−i−i−i−iiiii2-2−ii-1-111−ii00000000000022-2-22-2-222-2-1-111-1-1112i−2i2i−2i2i2i−2i−2i-1-111−i−i−i−iiiii2-2−ii-1-111−ii000000000000
χ3422-2-22-2-222-2-1-111-1-1112i−2i2i−2i−2i−2i2i2i-1-111iiii−i−i−i−i-22−ii11-1-1−ii00000000000022-2-22-2-222-2-1-111-1-1112i−2i2i−2i−2i−2i2i2i-1-111iiii−i−i−i−i-22−ii11-1-1−ii00000000000022-2-22-2-222-2-1-111-1-1112i−2i2i−2i−2i−2i2i2i-1-111iiii−i−i−i−i-22−ii11-1-1−ii000000000000
χ3522-2-22-2-222-2-1-111-1-111−2i2i−2i2i2i2i−2i−2i-1-111−i−i−i−iiiii-22i−i11-1-1i−i00000000000022-2-22-2-222-2-1-111-1-111−2i2i−2i2i2i2i−2i−2i-1-111−i−i−i−iiiii-22i−i11-1-1i−i00000000000022-2-22-2-222-2-1-111-1-111−2i2i−2i2i2i2i−2i−2i-1-111−i−i−i−iiiii-22i−i11-1-1i−i000000000000
χ3622-2-22-2-222-2-1-111-1-111−2i2i−2i2i−2i−2i2i2i-1-111iiii−i−i−i−i2-2i−i-1-111i−i00000000000022-2-22-2-222-2-1-111-1-111−2i2i−2i2i−2i−2i2i2i-1-111iiii−i−i−i−i2-2i−i-1-111i−i00000000000022-2-22-2-222-2-1-111-1-111−2i2i−2i2i−2i−2i2i2i-1-111iiii−i−i−i−i2-2i−i-1-111i−i000000000000
χ3722-2-2-22-2-2222222-2-2-2-200000000-222-200000000000000000000002i−2i−2i2i000022-2-2-22-2-2222222-2-2-2-200000000-222-200000000000000000000002i−2i−2i2i000022-2-2-22-2-2222222-2-2-2-200000000-222-200000000000000000000002i−2i−2i2i0000
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χ4022-2-2-2-222-2222-2-222-2-2−2i2i2i−2i0000-2-2220000000000−2i2i00002i−2i00000000000022-2-2-2-222-2222-2-222-2-2−2i2i2i−2i0000-2-2220000000000−2i2i00002i−2i00000000000022-2-2-2-222-2222-2-222-2-2−2i2i2i−2i0000-2-2220000000000−2i2i00002i−2i000000000000
χ4122-2-2-2-222-22-1-111-1-1112i−2i−2i2i000011-1-133−3−3−3−33300−ii−i3i3i3−i3i−i00000000000022-2-2-2-222-22-1-111-1-1112i−2i−2i2i000011-1-133−3−3−3−33300−ii−i3i3i3−i3i−i00000000000022-2-2-2-222-22-1-111-1-1112i−2i−2i2i000011-1-133−3−3−3−33300−ii−i3i3i3−i3i−i000000000000
χ4222-2-2-2-222-22-1-111-1-1112i−2i−2i2i000011-1-1−3−33333−3−300−iii3−i3−i3i3i−i00000000000022-2-2-2-222-22-1-111-1-1112i−2i−2i2i000011-1-1−3−33333−3−300−iii3−i3−i3i3i−i00000000000022-2-2-2-222-22-1-111-1-1112i−2i−2i2i000011-1-1−3−33333−3−300−iii3−i3−i3i3i−i000000000000
χ4322-2-2-2-222-22-1-111-1-111−2i2i2i−2i000011-1-133−3−3−3−33300i−ii3−i3−i3i3−ii00000000000022-2-2-2-222-22-1-111-1-111−2i2i2i−2i000011-1-133−3−3−3−33300i−ii3−i3−i3i3−ii00000000000022-2-2-2-222-22-1-111-1-111−2i2i2i−2i000011-1-133−3−3−3−33300i−ii3−i3−i3i3−ii000000000000
χ4422-2-2-2-222-22-1-111-1-111−2i2i2i−2i000011-1-1−3−33333−3−300i−i−i3i3i3−i3−ii00000000000022-2-2-2-222-22-1-111-1-111−2i2i2i−2i000011-1-1−3−33333−3−300i−i−i3i3i3−i3−ii00000000000022-2-2-2-222-22-1-111-1-111−2i2i2i−2i000011-1-1−3−33333−3−300i−i−i3i3i3−i3−ii000000000000
χ4544444-4-4-4-44-2-22222-2-200000000-22-2200000000000000000000000000000044444-4-4-4-44-2-22222-2-200000000-22-2200000000000000000000000000000044444-4-4-4-44-2-22222-2-200000000-22-22000000000000000000000000000000
χ464444-4-44-44-4-2-22222-2-2000000002-22-20000000000000000000000000000004444-4-44-44-4-2-22222-2-2000000002-22-20000000000000000000000000000004444-4-44-44-4-2-22222-2-2000000002-22-2000000000000000000000000000000
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χ13111-1-11-1-111-111-1-111-1-1i−ii−i−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111i−i1-11-1i−ii−i−ii-11−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32−1−i32ζ11−ζ111+i321+i32−1−i32−1−i32ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1+i32ζ7−ζ71−i321−i32−1+i32−1+i32ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32
χ13211-1-11-1-111-111-1-111-1-1i−ii−i−i−iii11-1-1−i−i−i−iiiii-11i−i-1-111i−i-11-11−ii−iii−i1-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11−ζ11ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32−1−i32ζ11−ζ111+i321+i32−1−i32−1−i32ζ11−ζ111+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7−ζ7ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1+i32ζ7−ζ71−i321−i32−1+i32−1+i32ζ7−ζ71−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7−1+i321−i32
χ13311-1-11-1-111-111-1-111-1-1−ii−iiii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ii1-11-1−ii−iii−i-11−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ111+i321+i32−1−i32−1−i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ71−i321−i32−1+i32−1+i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32
χ13411-1-11-1-111-111-1-111-1-1−ii−iiii−i−i11-1-1iiii−i−i−i−i-11−ii-1-111−ii-11-11i−ii−i−ii1-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ111+i321+i32−1−i32−1−i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ71−i321−i32−1+i32−1+i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−1+i321−i32
χ13511-1-11-1-111-111-1-111-1-1−ii−ii−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ii1-11-1−ii−ii−ii1-1−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1−i32−1−i321+i321+i32−ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−1−i321+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1+i32−1+i321−i321−i32−ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−1+i321−i32
χ13611-1-11-1-111-111-1-111-1-1−ii−ii−i−iii11-1-1−i−i−i−iiiii1-1−ii11-1-1−ii-11-11i−ii−ii−i-11−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1−i32−1−i321+i321+i32−ζ11ζ111+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11ζ11−ζ111+i32−1−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1+i32−1+i321−i321−i32−ζ7ζ71−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7ζ7−ζ71−i32−1+i32
χ1372222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32000000000000
χ1382222222222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111-2-2-1-11111-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32000000000000
χ1392222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ1402222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111112211-1-1-1-111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000000000
χ14122222-2-2-2-2222-2-2-2-222000000002-22-200000000000000000022-2-200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300000000−1−i31+i3−1−i31+i3000000000000000000−1−i3−1−i31+i31+i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300000000−1+i31−i3−1+i31−i3000000000000000000−1+i3−1+i31−i31−i300000000
χ14222222-2-2-2-2222-2-2-2-222000000002-22-2000000000000000000-2-22200000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i300000000−1−i31+i3−1−i31+i30000000000000000001+i31+i3−1−i3−1−i300000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i300000000−1+i31−i3−1+i31−i30000000000000000001−i31−i3−1+i3−1+i300000000
χ1432222-22-22-2-22222222222-2-20000-2-2-2-20000000000220000-2-2000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i31+i31+i30000000000−1−i3−1−i300001+i31+i3000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i31−i31−i30000000000−1+i3−1+i300001−i31−i3000000000000
χ1442222-22-22-2-222222222-2-2220000-2-2-2-20000000000-2-2000022000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i300001+i31+i31+i31+i300000000001+i31+i30000−1−i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i300001−i31−i31−i31−i300000000001−i31−i30000−1+i3−1+i3000000000000
χ1452222-22-22-2-2-1-1-1-1-1-1-1-122-2-200001111−i3−i3i3i3−i3−i3i3i300-1-1−i3i3−i3i311000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i30000−1−i32−1−i32−1−i32−1−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32001+i321+i32−3+i323−i32−3+i323−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i30000−1+i32−1+i32−1+i32−1+i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i32001−i321−i323+i32−3−i323+i32−3−i32−1+i32−1+i32000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.