Finite Group Databasebeta

← Group #13181039

Character table — Group #13181039

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112224444888888121212121212121212121212181818181818242424242424363636112224444888888121212121212121212121212181818181818242424242424363636112224444888888121212121212121212121212181818181818242424242424363636
order124443366121212121212224444446666222488121212121212888361212123366121212121212661212121212126666666122424121212121212242424361212123366121212121212661212121212126666666122424121212121212242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1111-1-1-111-1-11111-1-1111-1-1-1-1-1-11111111111111111-1111-1-1-111-1-11111-1-1111-1-1-1-1-1-11111111111111111-1111-1-1-111-1-11111-1-1111-1-1-1-1-1-1
χ3111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1111-1-1-1111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1111-1-1-1111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1111-1-1-1
χ4111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ5111-1-1111111-1-1-1-1111-1-11-1-111111-1-11111-1-11-1-11-1-1111-1-1111111-1-1-1-1111-1-11-1-111111-1-11111-1-11-1-11-1-1111-1-1111111-1-1-1-1111-1-11-1-111111-1-11111-1-11-1-11-1-1
χ6111-1-1111111-1-1-1-11-11-1-1-11111-1-11-1-11-1-11-1-1-111-111111-1-1111111-1-1-1-11-11-1-1-11111-1-11-1-11-1-11-1-1-111-111111-1-1111111-1-1-1-11-11-1-1-11111-1-11-1-11-1-11-1-1-111-111
χ7111-1-1111111-1-1-1-1-11-1111-1-1-1-1111-1-11-1-1-1111-1-1-111111-1-1111111-1-1-1-1-11-1111-1-1-1-1111-1-11-1-1-1111-1-1-111111-1-1111111-1-1-1-1-11-1111-1-1-1-1111-1-11-1-1-1111-1-1-111
χ8111-1-1111111-1-1-1-1-1-1-111-111-1-1-1-11-1-1111-111-1111-1-1111-1-1111111-1-1-1-1-1-1-111-111-1-1-1-11-1-1111-111-1111-1-1111-1-1111111-1-1-1-1-1-1-111-111-1-1-1-11-1-1111-111-1111-1-1
χ911-11-11111-1-111-1-111-11-1-11-11111-11-1111-11-1-11-1-11-111-11-11111-1-111-1-111-11-1-11-11111-11-1111-11-1-11-1-11-111-11-11111-1-111-1-111-11-1-11-11111-11-1111-11-1-11-1-11-1
χ1011-11-11111-1-111-1-11-1-11-11-1111-1-1-11-11-1-1-11-11-111-1111-11-11111-1-111-1-11-1-11-11-1111-1-1-11-11-1-1-11-11-111-1111-11-11111-1-111-1-11-1-11-11-1111-1-1-11-11-1-1-11-11-111-11
χ1111-11-11111-1-111-1-1-111-11-11-1-1-111-11-11-1-11-11-11-11-1111-11-11111-1-111-1-1-111-11-11-1-1-111-11-11-1-11-11-11-11-1111-11-11111-1-111-1-1-111-11-11-1-1-111-11-11-1-11-11-11-11-11
χ1211-11-11111-1-111-1-1-1-11-111-11-1-1-1-1-11-11111-111-11-11-111-11-11111-1-111-1-1-1-11-111-11-1-1-1-1-11-11111-111-11-11-111-11-11111-1-111-1-1-1-11-111-11-1-1-1-1-11-11111-111-11-11-1
χ1311-1-111111-1-1-1-11111-1-11-1-111111-1-11111-1-11-1-11-1-1111-1-111111-1-1-1-11111-1-11-1-111111-1-11111-1-11-1-11-1-1111-1-111111-1-1-1-11111-1-11-1-111111-1-11111-1-11-1-11-1-11
χ1411-1-111111-1-1-1-1111-1-1-1111-111-1-1-1-111-1-1-1-1111-111-111-1-111111-1-1-1-1111-1-1-1111-111-1-1-1-111-1-1-1-1111-111-111-1-111111-1-1-1-1111-1-1-1111-111-1-1-1-111-1-1-1-1111-111-1
χ1511-1-111111-1-1-1-111-1111-1-1-11-1-111-1-111-1-111-1-1-1111-111-1-111111-1-1-1-111-1111-1-1-11-1-111-1-111-1-111-1-1-1111-111-1-111111-1-1-1-111-1111-1-1-11-1-111-1-111-1-111-1-1-1111-1
χ1611-1-111111-1-1-1-111-1-111-111-1-1-1-1-1-1-1111111-111-1-1-1111-1-111111-1-1-1-111-1-111-111-1-1-1-1-1-1-1111111-111-1-1-1111-1-111111-1-1-1-111-1-111-111-1-1-1-1-1-1-1111111-111-1-1-11
χ17222222222222222000000000000-2-2-2-200000000000222222222222222000000000000-2-2-2-200000000000222222222222222000000000000-2-2-2-200000000000
χ18222-2-2222222-2-2-2-2000000000000-222-200000000000222-2-2222222-2-2-2-2000000000000-222-200000000000222-2-2222222-2-2-2-2000000000000-222-200000000000
χ1922-22-22222-2-222-2-20000000000002-22-20000000000022-22-22222-2-222-2-20000000000002-22-20000000000022-22-22222-2-222-2-20000000000002-22-200000000000
χ2022-2-222222-2-2-2-22200000000000022-2-20000000000022-2-222222-2-2-2-22200000000000022-2-20000000000022-2-222222-2-2-2-22200000000000022-2-200000000000
χ21444441-21-21-21-21-20200022200-1-1000000000-1-1-1000444441-21-21-21-21-20200022200-1-1000000000-1-1-1000444441-21-21-21-21-20200022200-1-1000000000-1-1-1000
χ22444441-21-21-21-21-20-2000-2-2-20011000000000111000444441-21-21-21-21-20-2000-2-2-20011000000000111000444441-21-21-21-21-20-2000-2-2-20011000000000111000
χ2344444-21-21-21-21-2120222000-1-100000000-1-1-100000044444-21-21-21-21-2120222000-1-100000000-1-1-100000044444-21-21-21-21-2120222000-1-100000000-1-1-1000000
χ2444444-21-21-21-21-21-20-2-2-2000110000000011100000044444-21-21-21-21-21-20-2-2-2000110000000011100000044444-21-21-21-21-21-20-2-2-20001100000000111000000
χ25444-4-41-21-21-2-12-12020002-2-200-1-1000000000-111000444-4-41-21-21-2-12-12020002-2-200-1-1000000000-111000444-4-41-21-21-2-12-12020002-2-200-1-1000000000-111000
χ26444-4-41-21-21-2-12-120-2000-22200110000000001-1-1000444-4-41-21-21-2-12-120-2000-22200110000000001-1-1000444-4-41-21-21-2-12-120-2000-22200110000000001-1-1000
χ27444-4-4-21-21-212-12-1202-2-2000-1-100000000-111000000444-4-4-21-21-212-12-1202-2-2000-1-100000000-111000000444-4-4-21-21-212-12-1202-2-2000-1-100000000-111000000
χ28444-4-4-21-21-212-12-1-20-22200011000000001-1-1000000444-4-4-21-21-212-12-1-20-22200011000000001-1-1000000444-4-4-21-21-212-12-1-20-22200011000000001-1-1000000
χ2944-44-41-21-2-121-2-1202000-22-200-1-10000000001-1100044-44-41-21-2-121-2-1202000-22-200-1-10000000001-1100044-44-41-21-2-121-2-1202000-22-200-1-10000000001-11000
χ3044-44-41-21-2-121-2-120-20002-220011000000000-11-100044-44-41-21-2-121-2-120-20002-220011000000000-11-100044-44-41-21-2-121-2-120-20002-220011000000000-11-1000
χ3144-44-4-21-212-1-212-120-22-2000-1-1000000001-1100000044-44-4-21-212-1-212-120-22-2000-1-1000000001-1100000044-44-4-21-212-1-212-120-22-2000-1-1000000001-11000000
χ3244-44-4-21-212-1-212-1-202-220001100000000-11-100000044-44-4-21-212-1-212-1-202-220001100000000-11-100000044-44-4-21-212-1-212-1-202-220001100000000-11-1000000
χ3344-4-441-21-2-12-121-202000-2-2200-1-100000000011-100044-4-441-21-2-12-121-202000-2-2200-1-100000000011-100044-4-441-21-2-12-121-202000-2-2200-1-100000000011-1000
χ3444-4-441-21-2-12-121-20-200022-20011000000000-1-1100044-4-441-21-2-12-121-20-200022-20011000000000-1-1100044-4-441-21-2-12-121-20-200022-20011000000000-1-11000
χ3544-4-44-21-212-12-1-2120-2-22000-1-10000000011-100000044-4-44-21-212-12-1-2120-2-22000-1-10000000011-100000044-4-44-21-212-12-1-2120-2-22000-1-10000000011-1000000
χ3644-4-44-21-212-12-1-21-2022-20001100000000-1-1100000044-4-44-21-212-12-1-21-2022-20001100000000-1-1100000044-4-44-21-212-12-1-21-2022-20001100000000-1-11000000
χ374-400044-4-4000000000000000000000022−220000000004-400044-4-4000000000000000000000022−220000000004-400044-4-4000000000000000000000022−22000000000
χ384-400044-4-40000000000000000000000−22220000000004-400044-4-40000000000000000000000−22220000000004-400044-4-40000000000000000000000−2222000000000
χ398-80002-4-240000000000000000−2i32i30000000000000008-80002-4-240000000000000000−2i32i30000000000000008-80002-4-240000000000000000−2i32i3000000000000000
χ408-80002-4-2400000000000000002i3−2i30000000000000008-80002-4-2400000000000000002i3−2i30000000000000008-80002-4-2400000000000000002i3−2i3000000000000000
χ418-8000-424-200000000000000−2i32i3000000000000000008-8000-424-200000000000000−2i32i3000000000000000008-8000-424-200000000000000−2i32i300000000000000000
χ428-8000-424-2000000000000002i3−2i3000000000000000008-8000-424-2000000000000002i3−2i3000000000000000008-8000-424-2000000000000002i3−2i300000000000000000
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
χ441111111111111111-1111-1-1-111-1-11111-1-1111-1-1-1-1-1-1−1+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+i321−i32−1+i32−1+i32−1+i321−i321−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−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−i321+i32−1−i32−1−i32−1−i321+i321+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+i321+i321+i321+i32
χ45111111111111111-11-1-1-1111-1-1111111-1-1-1-1-1111-1-1-1−1+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+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+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−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ46111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111−1+i32−1+i32−1+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−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ47111-1-1111111-1-1-1-1111-1-11-1-111111-1-11111-1-11-1-11-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32
χ48111-1-1111111-1-1-1-11-11-1-1-11111-1-11-1-11-1-11-1-1-111-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ49111-1-1111111-1-1-1-1-11-1111-1-1-1-1111-1-11-1-1-1111-1-1-111−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ50111-1-1111111-1-1-1-1-1-1-111-111-1-1-1-11-1-1111-111-1111-1-1−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32
χ5111-11-11111-1-111-1-111-11-1-11-11111-11-1111-11-1-11-1-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32
χ5211-11-11111-1-111-1-11-1-11-11-1111-1-1-11-11-1-1-11-11-111-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ5311-11-11111-1-111-1-1-111-11-11-1-1-111-11-11-1-11-11-11-11-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ5411-11-11111-1-111-1-1-1-11-111-11-1-1-1-1-11-11111-111-11-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32
χ5511-1-111111-1-1-1-11111-1-11-1-111111-1-11111-1-11-1-11-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i32−1−i32
χ5611-1-111111-1-1-1-1111-1-1-1111-111-1-1-1-111-1-1-1-1111-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ5711-1-111111-1-1-1-111-1111-1-1-11-1-111-1-111-1-111-1-1-1111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ5811-1-111111-1-1-1-111-1-111-111-1-1-1-1-1-1-1111111-111-1-1-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ59222222222222222000000000000-2-2-2-200000000000−1+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+i30000000000001−i31−i31−i31−i300000000000−1−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−i30000000000001+i31+i31+i31+i300000000000
χ60222-2-2222222-2-2-2-2000000000000-222-200000000000−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000001−i3−1+i3−1+i31−i300000000000−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000001+i3−1−i3−1−i31+i300000000000
χ6122-22-22222-2-222-2-20000000000002-22-200000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000000000−1+i31−i3−1+i31−i300000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000000000−1−i31+i3−1−i31+i300000000000
χ6222-2-222222-2-2-2-22200000000000022-2-200000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000000000−1+i3−1+i31−i31−i300000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000000000−1−i3−1−i31+i31+i300000000000
χ63444441-21-21-21-21-20200022200-1-1000000000-1-1-1000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i30−1+i3000−1+i3−1+i3−1+i3001−i321−i320000000001−i321−i321−i32000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i30−1−i3000−1−i3−1−i3−1−i3001+i321+i320000000001+i321+i321+i32000
χ64444441-21-21-21-21-20-2000-2-2-20011000000000111000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i301−i30001−i31−i31−i300−1+i32−1+i32000000000−1+i32−1+i32−1+i32000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i301+i30001+i31+i31+i300−1−i32−1−i32000000000−1−i32−1−i32−1−i32000
χ6544444-21-21-21-21-2120222000-1-100000000-1-1-1000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i30−1+i3−1+i3−1+i30001−i321−i32000000001−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i30−1−i3−1−i3−1−i30001+i321+i32000000001+i321+i321+i32000000
χ6644444-21-21-21-21-21-20-2-2-20001100000000111000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i301−i31−i31−i3000−1+i32−1+i3200000000−1+i32−1+i32−1+i32000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i301+i31+i31+i3000−1−i32−1−i3200000000−1−i32−1−i32−1−i32000000
χ67444-4-41-21-21-2-12-12020002-2-200-1-1000000000-111000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i30−1+i3000−1+i31−i31−i3001−i321−i320000000001−i32−1+i32−1+i32000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i30−1−i3000−1−i31+i31+i3001+i321+i320000000001+i32−1−i32−1−i32000
χ68444-4-41-21-21-2-12-120-2000-22200110000000001-1-1000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i301−i30001−i3−1+i3−1+i300−1+i32−1+i32000000000−1+i321−i321−i32000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i301+i30001+i3−1−i3−1−i300−1−i32−1−i32000000000−1−i321+i321+i32000
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χ70444-4-4-21-21-212-12-1-20-22200011000000001-1-1000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i321−i301−i3−1+i3−1+i3000−1+i32−1+i3200000000−1+i321−i321−i32000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i321+i301+i3−1−i3−1−i3000−1−i32−1−i3200000000−1−i321+i321+i32000000
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χ10322-22-22222-2-222-2-20000000000002-22-200000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000000000−1−i31+i3−1−i31+i300000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000000000−1+i31−i3−1+i31−i300000000000
χ10422-2-222222-2-2-2-22200000000000022-2-200000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000000000−1−i3−1−i31+i31+i300000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000000000−1+i3−1+i31−i31−i300000000000
χ105444441-21-21-21-21-20200022200-1-1000000000-1-1-1000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i30−1−i3000−1−i3−1−i3−1−i3001+i321+i320000000001+i321+i321+i32000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i30−1+i3000−1+i3−1+i3−1+i3001−i321−i320000000001−i321−i321−i32000
χ106444441-21-21-21-21-20-2000-2-2-20011000000000111000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i301+i30001+i31+i31+i300−1−i32−1−i32000000000−1−i32−1−i32−1−i32000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i301−i30001−i31−i31−i300−1+i32−1+i32000000000−1+i32−1+i32−1+i32000
χ10744444-21-21-21-21-2120222000-1-100000000-1-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i30−1−i3−1−i3−1−i30001+i321+i32000000001+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i30−1+i3−1+i3−1+i30001−i321−i32000000001−i321−i321−i32000000
χ10844444-21-21-21-21-21-20-2-2-20001100000000111000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i301+i31+i31+i3000−1−i32−1−i3200000000−1−i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i301−i31−i31−i3000−1+i32−1+i3200000000−1+i32−1+i32−1+i32000000
χ109444-4-41-21-21-2-12-12020002-2-200-1-1000000000-111000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i30−1−i3000−1−i31+i31+i3001+i321+i320000000001+i32−1−i32−1−i32000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i30−1+i3000−1+i31−i31−i3001−i321−i320000000001−i32−1+i32−1+i32000
χ110444-4-41-21-21-2-12-120-2000-22200110000000001-1-1000−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i301+i30001+i3−1−i3−1−i300−1−i32−1−i32000000000−1−i321+i321+i32000−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i301−i30001−i3−1+i3−1+i300−1+i32−1+i32000000000−1+i321−i321−i32000
χ111444-4-4-21-21-212-12-1202-2-2000-1-100000000-111000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32−1−i30−1−i31+i31+i30001+i321+i32000000001+i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32−1+i30−1+i31−i31−i30001−i321−i32000000001−i32−1+i32−1+i32000000
χ112444-4-4-21-21-212-12-1-20-22200011000000001-1-1000000−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i321+i301+i3−1−i3−1−i3000−1−i32−1−i3200000000−1−i321+i321+i32000000−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i321−i301−i3−1+i3−1+i3000−1+i32−1+i3200000000−1+i321−i321−i32000000
χ11344-44-41-21-2-121-2-1202000-22-200-1-10000000001-11000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i30−1−i30001+i3−1−i31+i3001+i321+i32000000000−1−i321+i32−1−i32000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i30−1+i30001−i3−1+i31−i3001−i321−i32000000000−1+i321−i32−1+i32000
χ11444-44-41-21-2-121-2-120-20002-220011000000000-11-1000−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i3−1−i321+i31+i32−1−i301+i3000−1−i31+i3−1−i300−1−i32−1−i320000000001+i32−1−i321+i32000−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i3−1+i321−i31−i32−1+i301−i3000−1+i31−i3−1+i300−1+i32−1+i320000000001−i32−1+i321−i32000
χ11544-44-4-21-212-1-212-120-22-2000-1-1000000001-11000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i32−1−i301+i3−1−i31+i30001+i321+i3200000000−1−i321+i32−1−i32000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i32−1+i301−i3−1+i31−i30001−i321−i3200000000−1+i321−i32−1+i32000000
χ11644-44-4-21-212-1-212-1-202-220001100000000-11-1000000−2−2i3−2−2i32+2i3−2−2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i321+i3−1−i32−1−i31+i321+i30−1−i31+i3−1−i3000−1−i32−1−i32000000001+i32−1−i321+i32000000−2+2i3−2+2i32−2i3−2+2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i321−i3−1+i32−1+i31−i321−i30−1+i31−i3−1+i3000−1+i32−1+i32000000001−i32−1+i321−i32000000
χ11744-4-441-21-2-12-121-202000-2-2200-1-100000000011-1000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−1−i321+i30−1−i30001+i31+i3−1−i3001+i321+i32000000000−1−i32−1−i321+i32000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−1+i321−i30−1+i30001−i31−i3−1+i3001−i321−i32000000000−1+i32−1+i321−i32000
χ11844-4-441-21-2-12-121-20-200022-20011000000000-1-11000−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i3−1−i321+i301+i3000−1−i3−1−i31+i300−1−i32−1−i320000000001+i321+i32−1−i32000−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i3−1+i321−i301−i3000−1+i3−1+i31−i300−1+i32−1+i320000000001−i321−i32−1+i32000
χ11944-4-44-21-212-12-1-2120-2-22000-1-10000000011-1000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i32−1−i301+i31+i3−1−i30001+i321+i3200000000−1−i32−1−i321+i32000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i32−1+i301−i31−i3−1+i30001−i321−i3200000000−1+i32−1+i321−i32000000
χ12044-4-44-21-212-12-1-21-2022-20001100000000-1-11000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i321+i3−1−i321+i30−1−i3−1−i31+i3000−1−i32−1−i32000000001+i321+i32−1−i32000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i321−i3−1+i321−i30−1+i3−1+i31−i3000−1+i32−1+i32000000001−i321−i32−1+i32000000
χ1214-400044-4-4000000000000000000000022−22000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i30000000000000000000000−2ζ7+2ζ132ζ7−2ζ13000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i300000000000000000000002ζ5−2ζ23−2ζ5+2ζ23000000000
χ1224-400044-4-40000000000000000000000−2222000000000−2−2i32+2i3000−2−2i3−2−2i32+2i32+2i300000000000000000000002ζ7−2ζ13−2ζ7+2ζ13000000000−2+2i32−2i3000−2+2i3−2+2i32−2i32−2i30000000000000000000000−2ζ5+2ζ232ζ5−2ζ23000000000
χ1238-80002-4-240000000000000000−2i32i3000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i30000000000000000−3+i33−i3000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i300000000000000003+i3−3−i3000000000000000
χ1248-80002-4-2400000000000000002i3−2i3000000000000000−4−4i34+4i3000−1−i32+2i31+i3−2−2i300000000000000003−i3−3+i3000000000000000−4+4i34−4i3000−1+i32−2i31−i3−2+2i30000000000000000−3−i33+i3000000000000000
χ1258-8000-424-200000000000000−2i32i300000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i300000000000000−3+i33−i300000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i3000000000000003+i3−3−i300000000000000000
χ1268-8000-424-2000000000000002i3−2i300000000000000000−4−4i34+4i30002+2i3−1−i3−2−2i31+i3000000000000003−i3−3+i300000000000000000−4+4i34−4i30002−2i3−1+i3−2+2i31−i300000000000000−3−i33+i300000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.