Finite Group Databasebeta

← Group #13157135

Character table — Group #13157135

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488888888888881818181836363636363636367211114444444448888888888888181818183636363636363636721111444444444888888888888818181818363636363636363672
order1222334666666266666666121212124444888888884366633126666666666666661212121212121212242424242424242412366633126666666666666661212121212121212242424242424242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111-1-1-1-1iiii−i−i−i−i-111111111111111111111111111-1-1-1-1iiii−i−i−i−i-111111111111111111111111111-1-1-1-1iiii−i−i−i−i-1
χ411111111111111111111111111-1-1-1-1−i−i−i−iiiii-111111111111111111111111111-1-1-1-1−i−i−i−iiiii-111111111111111111111111111-1-1-1-1−i−i−i−iiiii-1
χ51111111111111-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11111111111111-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11111111111111-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1
χ61111111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-111-11111111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-111-11111111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1
χ71111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii1
χ81111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i1
χ9222222-2222222000000000-2-2-2-222-2-2000000000222222-2222222000000000-2-2-2-222-2-2000000000222222-2222222000000000-2-2-2-222-2-2000000000
χ10222222-2222222000000000-2-2-2-2-2-222000000000222222-2222222000000000-2-2-2-2-2-222000000000222222-2222222000000000-2-2-2-2-2-222000000000
χ1122-2-222022-2-2-2-20000000000000002i−2i1+i−1−i001−i−1+i00022-2-222022-2-2-2-20000000000000002i−2i1+i−1−i001−i−1+i00022-2-222022-2-2-2-20000000000000002i−2i1+i−1−i001−i−1+i000
χ1222-2-222022-2-2-2-20000000000000002i−2i−1−i1+i00−1+i1−i00022-2-222022-2-2-2-20000000000000002i−2i−1−i1+i00−1+i1−i00022-2-222022-2-2-2-20000000000000002i−2i−1−i1+i00−1+i1−i000
χ1322-2-222022-2-2-2-2000000000000000−2i2i1−i−1+i001+i−1−i00022-2-222022-2-2-2-2000000000000000−2i2i1−i−1+i001+i−1−i00022-2-222022-2-2-2-2000000000000000−2i2i1−i−1+i001+i−1−i000
χ1422-2-222022-2-2-2-2000000000000000−2i2i−1+i1−i00−1−i1+i00022-2-222022-2-2-2-2000000000000000−2i2i−1+i1−i00−1−i1+i00022-2-222022-2-2-2-2000000000000000−2i2i−1+i1−i00−1−i1+i000
χ152-22-2220-2-222-2-200000000000002i−2i00001+i−1−i001−i−1+i02-22-2220-2-222-2-200000000000002i−2i00001+i−1−i001−i−1+i02-22-2220-2-222-2-200000000000002i−2i00001+i−1−i001−i−1+i0
χ162-22-2220-2-222-2-200000000000002i−2i0000−1−i1+i00−1+i1−i02-22-2220-2-222-2-200000000000002i−2i0000−1−i1+i00−1+i1−i02-22-2220-2-222-2-200000000000002i−2i0000−1−i1+i00−1+i1−i0
χ172-22-2220-2-222-2-20000000000000−2i2i00001−i−1+i001+i−1−i02-22-2220-2-222-2-20000000000000−2i2i00001−i−1+i001+i−1−i02-22-2220-2-222-2-20000000000000−2i2i00001−i−1+i001+i−1−i0
χ182-22-2220-2-222-2-20000000000000−2i2i0000−1+i1−i00−1−i1+i02-22-2220-2-222-2-20000000000000−2i2i0000−1+i1−i00−1−i1+i02-22-2220-2-222-2-20000000000000−2i2i0000−1+i1−i00−1−i1+i0
χ1944441-241-21-21-241111-2-2-2-211-2-2000000000000044441-241-21-21-241111-2-2-2-211-2-2000000000000044441-241-21-21-241111-2-2-2-211-2-20000000000000
χ2044441-241-21-21-2-4-1-1-1-1222211-2-2000000000000044441-241-21-21-2-4-1-1-1-1222211-2-2000000000000044441-241-21-21-2-4-1-1-1-1222211-2-20000000000000
χ2144441-2-41-21-21-2033-3-30000-1-122000000000000044441-2-41-21-21-2033-3-30000-1-122000000000000044441-2-41-21-21-2033-3-30000-1-1220000000000000
χ2244441-2-41-21-21-20-3-3330000-1-122000000000000044441-2-41-21-21-20-3-3330000-1-122000000000000044441-2-41-21-21-20-3-3330000-1-1220000000000000
χ234444-214-21-21-214-2-2-2-21111-2-21100000000000004444-214-21-21-214-2-2-2-21111-2-21100000000000004444-214-21-21-214-2-2-2-21111-2-2110000000000000
χ244444-214-21-21-21-42222-1-1-1-1-2-21100000000000004444-214-21-21-21-42222-1-1-1-1-2-21100000000000004444-214-21-21-21-42222-1-1-1-1-2-2110000000000000
χ254444-21-4-21-21-210000033-3-322-1-100000000000004444-21-4-21-21-210000033-3-322-1-100000000000004444-21-4-21-21-210000033-3-322-1-10000000000000
χ264444-21-4-21-21-2100000-3-33322-1-100000000000004444-21-4-21-21-2100000-3-33322-1-100000000000004444-21-4-21-21-2100000-3-33322-1-10000000000000
χ274-4-441-20-12-121-20−i3i3−i3i300−2i32i33-30000000000000004-4-441-20-12-121-20−i3i3−i3i300−2i32i33-30000000000000004-4-441-20-12-121-20−i3i3−i3i300−2i32i33-3000000000000000
χ284-4-441-20-12-121-20−i3i3i3−i3−2i32i300-330000000000000004-4-441-20-12-121-20−i3i3i3−i3−2i32i300-330000000000000004-4-441-20-12-121-20−i3i3i3−i3−2i32i300-33000000000000000
χ294-4-441-20-12-121-20i3−i3−i3i32i3−2i300-330000000000000004-4-441-20-12-121-20i3−i3−i3i32i3−2i300-330000000000000004-4-441-20-12-121-20i3−i3−i3i32i3−2i300-33000000000000000
χ304-4-441-20-12-121-20i3−i3i3−i3002i3−2i33-30000000000000004-4-441-20-12-121-20i3−i3i3−i3002i3−2i33-30000000000000004-4-441-20-12-121-20i3−i3i3−i3002i3−2i33-3000000000000000
χ314-4-44440-4-4-4-444000000000000000000000000004-4-44440-4-4-4-444000000000000000000000000004-4-44440-4-4-4-44400000000000000000000000000
χ324-4-44-2102-12-1-21000−2i32i3−i3i3i3−i3003-300000000000004-4-44-2102-12-1-21000−2i32i3−i3i3i3−i3003-300000000000004-4-44-2102-12-1-21000−2i32i3−i3i3i3−i3003-30000000000000
χ334-4-44-2102-12-1-210002i3−2i3i3−i3−i3i3003-300000000000004-4-44-2102-12-1-210002i3−2i3i3−i3−i3i3003-300000000000004-4-44-2102-12-1-210002i3−2i3i3−i3−i3i3003-30000000000000
χ344-4-44-2102-12-1-210−2i32i300i3−i3i3−i300-3300000000000004-4-44-2102-12-1-210−2i32i300i3−i3i3−i300-3300000000000004-4-44-2102-12-1-210−2i32i300i3−i3i3−i300-330000000000000
χ354-4-44-2102-12-1-2102i3−2i300−i3i3−i3i300-3300000000000004-4-44-2102-12-1-2102i3−2i300−i3i3−i3i300-3300000000000004-4-44-2102-12-1-2102i3−2i300−i3i3−i3i300-330000000000000
χ3688-8-82-402-4-24-240000000000000000000000000088-8-82-402-4-24-240000000000000000000000000088-8-82-402-4-24-2400000000000000000000000000
χ3788-8-8-420-424-24-20000000000000000000000000088-8-8-420-424-24-20000000000000000000000000088-8-8-420-424-24-200000000000000000000000000
χ388-88-82-40-242-4-24000000000000000000000000008-88-82-40-242-4-24000000000000000000000000008-88-82-40-242-4-2400000000000000000000000000
χ398-88-8-4204-2-424-2000000000000000000000000008-88-8-4204-2-424-2000000000000000000000000008-88-8-4204-2-424-200000000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32
χ4211111111111111111111111111-1-1-1-1iiii−i−i−i−i-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ71−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ111+i32
χ4311111111111111111111111111-1-1-1-1−i−i−i−iiiii-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ71−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ111+i32
χ441111111111111-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ451111111111111-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ461111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−i−i−iii1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11−1−i32
χ471111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32
χ48222222-2222222000000000-2-2-2-222-2-2000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000001−i31−i31−i31−i3−1+i3−1+i31−i31−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000001+i31+i31+i31+i3−1−i3−1−i31+i31+i3000000000
χ49222222-2222222000000000-2-2-2-2-2-222000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000001−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000001+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000
χ5022-2-222022-2-2-2-20000000000000002i−2i1+i−1−i001−i−1+i000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000002ζ7−2ζ7ζ7−ζ10−ζ7+ζ1000−ζ7−ζ10ζ7+ζ10000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000002ζ11−2ζ11−ζ2+ζ11ζ2−ζ1100−ζ2−ζ11ζ2+ζ11000
χ5122-2-222022-2-2-2-20000000000000002i−2i−1−i1+i00−1+i1−i000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000002ζ7−2ζ7−ζ7+ζ10ζ7−ζ1000ζ7+ζ10−ζ7−ζ10000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000002ζ11−2ζ11ζ2−ζ11−ζ2+ζ1100ζ2+ζ11−ζ2−ζ11000
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χ861111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iiiii−i−i1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1+i32
χ87222222-2222222000000000-2-2-2-222-2-2000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000001+i31+i31+i31+i3−1−i3−1−i31+i31+i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000001−i31−i31−i31−i3−1+i3−1+i31−i31−i3000000000
χ88222222-2222222000000000-2-2-2-2-2-222000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000001+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000001−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000
χ8922-2-222022-2-2-2-20000000000000002i−2i1+i−1−i001−i−1+i000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000002ζ11−2ζ11−ζ2+ζ11ζ2−ζ1100−ζ2−ζ11ζ2+ζ11000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000002ζ7−2ζ7ζ7−ζ10−ζ7+ζ1000−ζ7−ζ10ζ7+ζ10000
χ9022-2-222022-2-2-2-20000000000000002i−2i−1−i1+i00−1+i1−i000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000002ζ11−2ζ11ζ2−ζ11−ζ2+ζ1100ζ2+ζ11−ζ2−ζ11000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000002ζ7−2ζ7−ζ7+ζ10ζ7−ζ1000ζ7+ζ10−ζ7−ζ10000
χ9122-2-222022-2-2-2-2000000000000000−2i2i1−i−1+i001+i−1−i000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i3000000000000000−2ζ112ζ11−ζ2−ζ11ζ2+ζ1100−ζ2+ζ11ζ2−ζ11000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i3000000000000000−2ζ72ζ7−ζ7−ζ10ζ7+ζ1000ζ7−ζ10−ζ7+ζ10000
χ9222-2-222022-2-2-2-2000000000000000−2i2i−1+i1−i00−1−i1+i000−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i3000000000000000−2ζ112ζ11ζ2+ζ11−ζ2−ζ1100ζ2−ζ11−ζ2+ζ11000−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i3000000000000000−2ζ72ζ7ζ7+ζ10−ζ7−ζ1000−ζ7+ζ10ζ7−ζ10000
χ932-22-2220-2-222-2-200000000000002i−2i00001+i−1−i001−i−1+i0−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i300000000000002ζ11−2ζ110000−ζ2+ζ11ζ2−ζ1100−ζ2−ζ11ζ2+ζ110−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i300000000000002ζ7−2ζ70000ζ7−ζ10−ζ7+ζ1000−ζ7−ζ10ζ7+ζ100
χ942-22-2220-2-222-2-200000000000002i−2i0000−1−i1+i00−1+i1−i0−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i300000000000002ζ11−2ζ110000ζ2−ζ11−ζ2+ζ1100ζ2+ζ11−ζ2−ζ110−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i300000000000002ζ7−2ζ70000−ζ7+ζ10ζ7−ζ1000ζ7+ζ10−ζ7−ζ100
χ952-22-2220-2-222-2-20000000000000−2i2i00001−i−1+i001+i−1−i0−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000000000000−2ζ112ζ110000−ζ2−ζ11ζ2+ζ1100−ζ2+ζ11ζ2−ζ110−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000000000000−2ζ72ζ70000−ζ7−ζ10ζ7+ζ1000ζ7−ζ10−ζ7+ζ100
χ962-22-2220-2-222-2-20000000000000−2i2i0000−1+i1−i00−1−i1+i0−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000000000000−2ζ112ζ110000ζ2+ζ11−ζ2−ζ1100ζ2−ζ11−ζ2+ζ110−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000000000000−2ζ72ζ70000ζ7+ζ10−ζ7−ζ1000−ζ7+ζ10ζ7−ζ100
χ9744441-241-21-21-241111-2-2-2-211-2-20000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−2−2i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i321+i31+i30000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−2+2i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i321−i31−i30000000000000
χ9844441-241-21-21-2-4-1-1-1-1222211-2-20000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i32+2i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−1−i32−1−i321+i31+i30000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i32−2i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3−1+i32−1+i321−i31−i30000000000000
χ9944441-2-41-21-21-2033-3-30000-1-1220000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i3−1−i321+i30−3−3i32−3−3i323+3i323+3i3200001+i321+i32−1−i3−1−i30000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i3−1+i321−i30−3+3i32−3+3i323−3i323−3i3200001−i321−i32−1+i3−1+i30000000000000
χ10044441-2-41-21-21-20-3-3330000-1-1220000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i3−1−i321+i303+3i323+3i32−3−3i32−3−3i3200001+i321+i32−1−i3−1−i30000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i3−1+i321−i303−3i323−3i32−3+3i32−3+3i3200001−i321−i32−1+i3−1+i30000000000000
χ1014444-214-21-21-214-2-2-2-21111-2-2110000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32−2−2i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32−2+2i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i320000000000000
χ1024444-214-21-21-21-42222-1-1-1-1-2-2110000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i321+i3−1−i322+2i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i31+i3−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i321−i3−1+i322−2i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i31−i3−1+i32−1+i320000000000000
χ1034444-21-4-21-21-210000033-3-322-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i321+i3−1−i3200000−3−3i32−3−3i323+3i323+3i32−1−i3−1−i31+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i321−i3−1+i3200000−3+3i32−3+3i323−3i323−3i32−1+i3−1+i31−i321−i320000000000000
χ1044444-21-4-21-21-2100000-3-33322-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i321+i3−1−i32000003+3i323+3i32−3−3i32−3−3i32−1−i3−1−i31+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i321−i3−1+i32000003−3i323−3i32−3+3i32−3+3i32−1+i3−1+i31−i321−i320000000000000
χ1054-4-441-20-12-121-20−i3i3−i3i300−2i32i33-3000000000000000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i32−1−i31+i32−1−i3−1−i321+i30−3+i323−i32−3+i323−i3200−3+i33−i3−3−3i323+3i32000000000000000−2+2i32−2i32−2i3−2+2i3−1+i321−i301−i32−1+i31−i32−1+i3−1+i321−i303+i32−3−i323+i32−3−i32003+i3−3−i3−3+3i323−3i32000000000000000
χ1064-4-441-20-12-121-20−i3i3i3−i3−2i32i300-33000000000000000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i32−1−i31+i32−1−i3−1−i321+i30−3+i323−i323−i32−3+i32−3+i33−i3003+3i32−3−3i32000000000000000−2+2i32−2i32−2i3−2+2i3−1+i321−i301−i32−1+i31−i32−1+i3−1+i321−i303+i32−3−i32−3−i323+i323+i3−3−i3003−3i32−3+3i32000000000000000
χ1074-4-441-20-12-121-20i3−i3−i3i32i3−2i300-33000000000000000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i32−1−i31+i32−1−i3−1−i321+i303−i32−3+i32−3+i323−i323−i3−3+i3003+3i32−3−3i32000000000000000−2+2i32−2i32−2i3−2+2i3−1+i321−i301−i32−1+i31−i32−1+i3−1+i321−i30−3−i323+i323+i32−3−i32−3−i33+i3003−3i32−3+3i32000000000000000
χ1084-4-441-20-12-121-20i3−i3i3−i3002i3−2i33-3000000000000000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i32−1−i31+i32−1−i3−1−i321+i303−i32−3+i323−i32−3+i32003−i3−3+i3−3−3i323+3i32000000000000000−2+2i32−2i32−2i3−2+2i3−1+i321−i301−i32−1+i31−i32−1+i3−1+i321−i30−3−i323+i32−3−i323+i3200−3−i33+i3−3+3i323−3i32000000000000000
χ1094-4-44440-4-4-4-44400000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i302+2i32+2i32+2i32+2i3−2−2i3−2−2i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i302−2i32−2i32−2i32−2i3−2+2i3−2+2i300000000000000000000000000
χ1104-4-44-2102-12-1-21000−2i32i3−i3i3i3−i3003-30000000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i32−1−i31+i321+i3−1−i32000−3+i33−i3−3+i323−i323−i32−3+i3200−3−3i323+3i320000000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i32−1+i31−i321−i3−1+i320003+i3−3−i33+i32−3−i32−3−i323+i3200−3+3i323−3i320000000000000
χ1114-4-44-2102-12-1-210002i3−2i3i3−i3−i3i3003-30000000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i32−1−i31+i321+i3−1−i320003−i3−3+i33−i32−3+i32−3+i323−i3200−3−3i323+3i320000000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i32−1+i31−i321−i3−1+i32000−3−i33+i3−3−i323+i323+i32−3−i3200−3+3i323−3i320000000000000
χ1124-4-44-2102-12-1-210−2i32i300i3−i3i3−i300-330000000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i32−1−i31+i321+i3−1−i320−3+i33−i3003−i32−3+i323−i32−3+i32003+3i32−3−3i320000000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i32−1+i31−i321−i3−1+i3203+i3−3−i300−3−i323+i32−3−i323+i32003−3i32−3+3i320000000000000
χ1134-4-44-2102-12-1-2102i3−2i300−i3i3−i3i300-330000000000000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i31+i32−1−i31+i321+i3−1−i3203−i3−3+i300−3+i323−i32−3+i323−i32003+3i32−3−3i320000000000000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i31−i32−1+i31−i321−i3−1+i320−3−i33+i3003+i32−3−i323+i32−3−i32003−3i32−3+3i320000000000000
χ11488-8-82-402-4-24-2400000000000000000000000000−4−4i3−4−4i34+4i34+4i3−1−i32+2i30−1−i32+2i31+i3−2−2i31+i3−2−2i300000000000000000000000000−4+4i3−4+4i34−4i34−4i3−1+i32−2i30−1+i32−2i31−i3−2+2i31−i3−2+2i300000000000000000000000000
χ11588-8-8-420-424-24-200000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i3−1−i302+2i3−1−i3−2−2i31+i3−2−2i31+i300000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i3−1+i302−2i3−1+i3−2+2i31−i3−2+2i31−i300000000000000000000000000
χ1168-88-82-40-242-4-2400000000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i301+i3−2−2i3−1−i32+2i31+i3−2−2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i301−i3−2+2i3−1+i32−2i31−i3−2+2i300000000000000000000000000
χ1178-88-8-4204-2-424-200000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i30−2−2i31+i32+2i3−1−i3−2−2i31+i300000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i30−2+2i31−i32−2i3−1+i3−2+2i31−i300000000000000000000000000

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