Finite Group Databasebeta

← Group #13166857

Character table — Group #13166857

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112224444444488889912121212121212121818182424242424242424363636361122244444444888899121212121212121218181824242424242424243636363611222444444448888991212121212121212181818242424242424242436363636
order12222336666666666222244444422266121212121212444436666336666666666666612121212121266666121212121212121212123666633666666666666661212121212126666612121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111
χ5111-1-111111-1-111-1-1-11111-1-1ii−i−i1-1-111-1-1ii−i−iii−i−i111-1-111111-1-111-1-1-11111-1-1ii−i−i1-1-111-1-1ii−i−iii−i−i111-1-111111-1-111-1-1-11111-1-1ii−i−i1-1-111-1-1ii−i−iii−i−i
χ6111-1-111111-1-111-1-1-11111-1-1−i−iii1-1-111-1-1−i−iii−i−iii111-1-111111-1-111-1-1-11111-1-1−i−iii1-1-111-1-1−i−iii−i−iii111-1-111111-1-111-1-1-11111-1-1−i−iii1-1-111-1-1−i−iii−i−iii
χ7111-1-111111-1-111-1-1-111-1-111ii−i−i1-1-1-1-111ii−i−i−i−iii111-1-111111-1-111-1-1-111-1-111ii−i−i1-1-1-1-111ii−i−i−i−iii111-1-111111-1-111-1-1-111-1-111ii−i−i1-1-1-1-111ii−i−i−i−iii
χ8111-1-111111-1-111-1-1-111-1-111−i−iii1-1-1-1-111−i−iiiii−i−i111-1-111111-1-111-1-1-111-1-111−i−iii1-1-1-1-111−i−iiiii−i−i111-1-111111-1-111-1-1-111-1-111−i−iii1-1-1-1-111−i−iiiii−i−i
χ911-11-1111-1-1-1-11-111-1-1-11-11-1i−ii−i11-11-11-1i−ii−ii−ii−i11-11-1111-1-1-1-11-111-1-1-11-11-1i−ii−i11-11-11-1i−ii−ii−ii−i11-11-1111-1-1-1-11-111-1-1-11-11-1i−ii−i11-11-11-1i−ii−ii−ii−i
χ1011-11-1111-1-1-1-11-111-1-1-11-11-1−ii−ii11-11-11-1−ii−ii−ii−ii11-11-1111-1-1-1-11-111-1-1-11-11-1−ii−ii11-11-11-1−ii−ii−ii−ii11-11-1111-1-1-1-11-111-1-1-11-11-1−ii−ii11-11-11-1−ii−ii−ii−ii
χ1111-11-1111-1-1-1-11-111-1-1-1-11-11i−ii−i11-1-11-11i−ii−i−ii−ii11-11-1111-1-1-1-11-111-1-1-1-11-11i−ii−i11-1-11-11i−ii−i−ii−ii11-11-1111-1-1-1-11-111-1-1-1-11-11i−ii−i11-1-11-11i−ii−i−ii−ii
χ1211-11-1111-1-1-1-11-111-1-1-1-11-11−ii−ii11-1-11-11−ii−iii−ii−i11-11-1111-1-1-1-11-111-1-1-1-11-11−ii−ii11-1-11-11−ii−iii−ii−i11-11-1111-1-1-1-11-111-1-1-1-11-11−ii−ii11-1-11-11−ii−iii−ii−i
χ1311-1-11111-1-1111-1-1-11-1-11-1-111-1-111-111-1-111-1-111-1-1111-1-11111-1-1111-1-1-11-1-11-1-111-1-111-111-1-111-1-111-1-1111-1-11111-1-1111-1-1-11-1-11-1-111-1-111-111-1-111-1-111-1-11
χ1411-1-11111-1-1111-1-1-11-1-11-1-11-111-11-111-1-11-111-1-111-111-1-11111-1-1111-1-1-11-1-11-1-11-111-11-111-1-11-111-1-111-111-1-11111-1-1111-1-1-11-1-11-1-11-111-11-111-1-11-111-1-111-1
χ1511-1-11111-1-1111-1-1-11-1-1-111-11-1-111-11-111-11-1-11-111-111-1-11111-1-1111-1-1-11-1-1-111-11-1-111-11-111-11-1-11-111-111-1-11111-1-1111-1-1-11-1-1-111-11-1-111-11-111-11-1-11-111-1
χ1611-1-11111-1-1111-1-1-11-1-1-111-1-111-11-11-111-1-111-11-1-1111-1-11111-1-1111-1-1-11-1-1-111-1-111-11-11-111-1-111-11-1-1111-1-11111-1-1111-1-1-11-1-1-111-1-111-11-11-111-1-111-11-1-11
χ1722222222222222222-2-200000000-2-2-200000000000022222222222222222-2-200000000-2-2-200000000000022222222222222222-2-200000000-2-2-2000000000000
χ18222-2-222222-2-222-2-2-2-2-200000000-222000000000000222-2-222222-2-222-2-2-2-2-200000000-222000000000000222-2-222222-2-222-2-2-2-2-200000000-222000000000000
χ1922-22-2222-2-2-2-22-222-22200000000-2-2200000000000022-22-2222-2-2-2-22-222-22200000000-2-2200000000000022-22-2222-2-2-2-22-222-22200000000-2-22000000000000
χ2022-2-22222-2-2222-2-2-222200000000-22-200000000000022-2-22222-2-2222-2-2-222200000000-22-200000000000022-2-22222-2-2222-2-2-222200000000-22-2000000000000
χ21444441-21-2-211-211-2-200000022220000000-1-1-1-10000444441-21-2-211-211-2-200000022220000000-1-1-1-10000444441-21-2-211-211-2-200000022220000000-1-1-1-10000
χ22444441-21-2-211-211-2-2000000-2-2-2-2000000011110000444441-21-2-211-211-2-2000000-2-2-2-2000000011110000444441-21-2-211-211-2-2000000-2-2-2-2000000011110000
χ2344444-21-211-2-21-2-2110022220000000-1-1-1-10000000044444-21-211-2-21-2-2110022220000000-1-1-1-10000000044444-21-211-2-21-2-2110022220000000-1-1-1-100000000
χ2444444-21-211-2-21-2-21100-2-2-2-2000000011110000000044444-21-211-2-21-2-21100-2-2-2-2000000011110000000044444-21-211-2-21-2-21100-2-2-2-20000000111100000000
χ25444-4-41-21-2-2-1-1-21-1220000002i2i−2i−2i0000000−i−iii0000444-4-41-21-2-2-1-1-21-1220000002i2i−2i−2i0000000−i−iii0000444-4-41-21-2-2-1-1-21-1220000002i2i−2i−2i0000000−i−iii0000
χ26444-4-41-21-2-2-1-1-21-122000000−2i−2i2i2i0000000ii−i−i0000444-4-41-21-2-2-1-1-21-122000000−2i−2i2i2i0000000ii−i−i0000444-4-41-21-2-2-1-1-21-122000000−2i−2i2i2i0000000ii−i−i0000
χ27444-4-4-21-211221-22-1-10022-2-20000000-1-11100000000444-4-4-21-211221-22-1-10022-2-20000000-1-11100000000444-4-4-21-211221-22-1-10022-2-20000000-1-11100000000
χ28444-4-4-21-211221-22-1-100-2-222000000011-1-100000000444-4-4-21-211221-22-1-100-2-222000000011-1-100000000444-4-4-21-211221-22-1-100-2-222000000011-1-100000000
χ2944-44-41-2122-1-1-2-11-220000002i−2i2i−2i0000000−ii−ii000044-44-41-2122-1-1-2-11-220000002i−2i2i−2i0000000−ii−ii000044-44-41-2122-1-1-2-11-220000002i−2i2i−2i0000000−ii−ii0000
χ3044-44-41-2122-1-1-2-11-22000000−2i2i−2i2i0000000i−ii−i000044-44-41-2122-1-1-2-11-22000000−2i2i−2i2i0000000i−ii−i000044-44-41-2122-1-1-2-11-22000000−2i2i−2i2i0000000i−ii−i0000
χ3144-44-4-21-2-1-12212-21-1002-22-20000000-11-110000000044-44-4-21-2-1-12212-21-1002-22-20000000-11-110000000044-44-4-21-2-1-12212-21-1002-22-20000000-11-1100000000
χ3244-44-4-21-2-1-12212-21-100-22-2200000001-11-10000000044-44-4-21-2-1-12212-21-100-22-2200000001-11-10000000044-44-4-21-2-1-12212-21-100-22-2200000001-11-100000000
χ3344-4-441-212211-2-1-12-20000002-2-220000000-111-1000044-4-441-212211-2-1-12-20000002-2-220000000-111-1000044-4-441-212211-2-1-12-20000002-2-220000000-111-10000
χ3444-4-441-212211-2-1-12-2000000-222-200000001-1-11000044-4-441-212211-2-1-12-2000000-222-200000001-1-11000044-4-441-212211-2-1-12-2000000-222-200000001-1-110000
χ3544-4-44-21-2-1-1-2-2122-11002-2-220000000-111-10000000044-4-44-21-2-1-1-2-2122-11002-2-220000000-111-10000000044-4-44-21-2-1-1-2-2122-11002-2-220000000-111-100000000
χ3644-4-44-21-2-1-1-2-2122-1100-222-200000001-1-110000000044-4-44-21-2-1-1-2-2122-1100-222-200000001-1-110000000044-4-44-21-2-1-1-2-2122-1100-222-200000001-1-1100000000
χ374-400044-40000-400004-4000000000000000000000004-400044-40000-400004-4000000000000000000000004-400044-40000-400004-400000000000000000000000
χ384-400044-40000-40000-44000000000000000000000004-400044-40000-40000-44000000000000000000000004-400044-40000-40000-4400000000000000000000000
χ398-80002-4-2006-64000000000000000000000000000008-80002-4-2006-64000000000000000000000000000008-80002-4-2006-6400000000000000000000000000000
χ408-80002-4-200-664000000000000000000000000000008-80002-4-200-664000000000000000000000000000008-80002-4-200-66400000000000000000000000000000
χ418-8000-4246-600-2000000000000000000000000000008-8000-4246-600-2000000000000000000000000000008-8000-4246-600-200000000000000000000000000000
χ428-8000-424-6600-2000000000000000000000000000008-8000-424-6600-2000000000000000000000000000008-8000-424-6600-200000000000000000000000000000
χ43111111111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ4411111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ451111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ461111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ47111-1-111111-1-111-1-1-11111-1-1ii−i−i1-1-111-1-1ii−i−iii−i−i−1+i32−1+i32−1+i321−i321−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+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i321+i321+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−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ48111-1-111111-1-111-1-1-11111-1-1−i−iii1-1-111-1-1−i−iii−i−iii−1+i32−1+i32−1+i321−i321−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+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i321+i321+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−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ49111-1-111111-1-111-1-1-111-1-111ii−i−i1-1-1-1-111ii−i−i−i−iii−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ50111-1-111111-1-111-1-1-111-1-111−i−iii1-1-1-1-111−i−iiiii−i−i−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ5111-11-1111-1-1-1-11-111-1-1-11-11-1i−ii−i11-11-11-1i−ii−ii−ii−i−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i32−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i32−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ5211-11-1111-1-1-1-11-111-1-1-11-11-1−ii−ii11-11-11-1−ii−ii−ii−ii−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
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χ5511-1-11111-1-1111-1-1-11-1-11-1-111-1-111-111-1-111-1-111-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ5611-1-11111-1-1111-1-1-11-1-11-1-11-111-11-111-1-11-111-1-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
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χ9411-11-1111-1-1-1-11-111-1-1-11-11-1−ii−ii11-11-11-1−ii−ii−ii−ii−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ9511-11-1111-1-1-1-11-111-1-1-1-11-11i−ii−i11-1-11-11i−ii−i−ii−ii−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ9611-11-1111-1-1-1-11-111-1-1-1-11-11−ii−ii11-1-11-11−ii−iii−ii−i−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ9711-1-11111-1-1111-1-1-11-1-11-1-111-1-111-111-1-111-1-111-1-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
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χ9911-1-11111-1-1111-1-1-11-1-1-111-11-1-111-11-111-11-1-11-111-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
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χ106444441-21-2-211-211-2-2000000-2-2-2-2000000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i3−1−i32−1−i321+i31+i30000001+i31+i31+i31+i30000000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i3−1+i32−1+i321−i31−i30000001−i31−i31−i31−i30000000−1+i32−1+i32−1+i32−1+i320000
χ10744444-21-211-2-21-2-2110022220000000-1-1-1-100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i321+i31+i3−1−i32−1−i3200−1−i3−1−i3−1−i3−1−i300000001+i321+i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i321−i31−i3−1+i32−1+i3200−1+i3−1+i3−1+i3−1+i300000001−i321−i321−i321−i3200000000
χ10844444-21-211-2-21-2-21100-2-2-2-20000000111100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i321+i31+i3−1−i32−1−i32001+i31+i31+i31+i30000000−1−i32−1−i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i321−i31−i3−1+i32−1+i32001−i31−i31−i31−i30000000−1+i32−1+i32−1+i32−1+i3200000000
χ109444-4-41-21-2-2-1-1-21-1220000002i2i−2i−2i0000000−i−iii0000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i31+i321+i321+i3−1−i321+i32−1−i3−1−i30000002ζ112ζ11−2ζ11−2ζ110000000−ζ11−ζ11ζ11ζ110000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i31−i321−i321−i3−1+i321−i32−1+i3−1+i30000002ζ72ζ7−2ζ7−2ζ70000000−ζ7−ζ7ζ7ζ70000
χ110444-4-41-21-2-2-1-1-21-122000000−2i−2i2i2i0000000ii−i−i0000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i31+i321+i321+i3−1−i321+i32−1−i3−1−i3000000−2ζ11−2ζ112ζ112ζ110000000ζ11ζ11−ζ11−ζ110000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i31−i321−i321−i3−1+i321−i32−1+i3−1+i3000000−2ζ7−2ζ72ζ72ζ70000000ζ7ζ7−ζ7−ζ70000
χ111444-4-4-21-211221-22-1-10022-2-20000000-1-11100000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i32−1−i3−1−i3−1−i321+i3−1−i31+i321+i3200−1−i3−1−i31+i31+i300000001+i321+i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i32−1+i3−1+i3−1+i321−i3−1+i31−i321−i3200−1+i3−1+i31−i31−i300000001−i321−i32−1+i32−1+i3200000000
χ112444-4-4-21-211221-22-1-100-2-222000000011-1-100000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i32−1−i3−1−i3−1−i321+i3−1−i31+i321+i32001+i31+i3−1−i3−1−i30000000−1−i32−1−i321+i321+i3200000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i32−1+i3−1+i3−1+i321−i3−1+i31−i321−i32001−i31−i3−1+i3−1+i30000000−1+i32−1+i321−i321−i3200000000
χ11344-44-41-2122-1-1-2-11-220000002i−2i2i−2i0000000−ii−ii0000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i321+i31+i32−1−i321+i3−1−i30000002ζ11−2ζ112ζ11−2ζ110000000−ζ11ζ11−ζ11ζ110000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i321−i31−i32−1+i321−i3−1+i30000002ζ7−2ζ72ζ7−2ζ70000000−ζ7ζ7−ζ7ζ70000
χ11444-44-41-2122-1-1-2-11-22000000−2i2i−2i2i0000000i−ii−i0000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i321+i31+i32−1−i321+i3−1−i3000000−2ζ112ζ11−2ζ112ζ110000000ζ11−ζ11ζ11−ζ110000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i321−i31−i32−1+i321−i3−1+i3000000−2ζ72ζ7−2ζ72ζ70000000ζ7−ζ7ζ7−ζ70000
χ11544-44-4-21-2-1-12212-21-1002-22-20000000-11-1100000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i31+i321+i32−1−i3−1−i3−1−i32−1−i31+i3−1−i321+i3200−1−i31+i3−1−i31+i300000001+i32−1−i321+i32−1−i3200000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i31−i321−i32−1+i3−1+i3−1+i32−1+i31−i3−1+i321−i3200−1+i31−i3−1+i31−i300000001−i32−1+i321−i32−1+i3200000000
χ11644-44-4-21-2-1-12212-21-100-22-2200000001-11-100000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i31+i321+i32−1−i3−1−i3−1−i32−1−i31+i3−1−i321+i32001+i3−1−i31+i3−1−i30000000−1−i321+i32−1−i321+i3200000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i31−i321−i32−1+i3−1+i3−1+i32−1+i31−i3−1+i321−i32001−i3−1+i31−i3−1+i30000000−1+i321−i32−1+i321−i3200000000
χ11744-4-441-212211-2-1-12-20000002-2-220000000-111-10000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i32−1−i3−1−i3−1−i32−1−i321+i31+i321+i32−1−i31+i3000000−1−i31+i31+i3−1−i300000001+i32−1−i32−1−i321+i320000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i32−1+i3−1+i3−1+i32−1+i321−i31−i321−i32−1+i31−i3000000−1+i31−i31−i3−1+i300000001−i32−1+i32−1+i321−i320000
χ11844-4-441-212211-2-1-12-2000000-222-200000001-1-110000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i32−1−i3−1−i3−1−i32−1−i321+i31+i321+i32−1−i31+i30000001+i3−1−i3−1−i31+i30000000−1−i321+i321+i32−1−i320000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i32−1+i3−1+i3−1+i32−1+i321−i31−i321−i32−1+i31−i30000001−i3−1+i3−1+i31−i30000000−1+i321−i321−i32−1+i320000
χ11944-4-44-21-2-1-1-2-2122-11002-2-220000000-111-100000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i31+i321+i321+i31+i3−1−i32−1−i3−1−i31+i32−1−i3200−1−i31+i31+i3−1−i300000001+i32−1−i32−1−i321+i3200000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i31−i321−i321−i31−i3−1+i32−1+i3−1+i31−i32−1+i3200−1+i31−i31−i3−1+i300000001−i32−1+i32−1+i321−i3200000000
χ12044-4-44-21-2-1-1-2-2122-1100-222-200000001-1-1100000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i31+i321+i321+i31+i3−1−i32−1−i3−1−i31+i32−1−i32001+i3−1−i3−1−i31+i30000000−1−i321+i321+i32−1−i3200000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i31−i321−i321−i31−i3−1+i32−1+i3−1+i31−i32−1+i32001−i3−1+i3−1+i31−i30000000−1+i321−i321−i32−1+i3200000000
χ1214-400044-40000-400004-400000000000000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i300002+2i30000−2−2i32+2i300000000000000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i300002−2i30000−2+2i32−2i300000000000000000000000
χ1224-400044-40000-40000-4400000000000000000000000−2−2i32+2i3000−2−2i3−2−2i32+2i300002+2i300002+2i3−2−2i300000000000000000000000−2+2i32−2i3000−2+2i3−2+2i32−2i300002−2i300002−2i3−2+2i300000000000000000000000
χ1238-80002-4-2006-6400000000000000000000000000000−4−4i34+4i3000−1−i32+2i31+i300−3−3i33+3i3−2−2i300000000000000000000000000000−4+4i34−4i3000−1+i32−2i31−i300−3+3i33−3i3−2+2i300000000000000000000000000000
χ1248-80002-4-200-66400000000000000000000000000000−4−4i34+4i3000−1−i32+2i31+i3003+3i3−3−3i3−2−2i300000000000000000000000000000−4+4i34−4i3000−1+i32−2i31−i3003−3i3−3+3i3−2+2i300000000000000000000000000000
χ1258-8000-4246-600-200000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i3−3−3i33+3i3001+i300000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i3−3+3i33−3i3001−i300000000000000000000000000000
χ1268-8000-424-6600-200000000000000000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i33+3i3−3−3i3001+i300000000000000000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i33−3i3−3+3i3001−i300000000000000000000000000000

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