Finite Group Databasebeta

← Group #11922785

Character table — Group #11922785

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122668888888812121212122424111122668888888812121212122424111122668888888812121212122424111122668888888812121212122424111122668888888812121212122424111122668888888812121212122424
order122222443666666648888443666661212366666661224242424121236666612123666666612242424241212222222446666666648888446666661212666666661224242424121266666612126666666612242424241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1
χ41111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11
χ522222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-1200000022222222-1-1-1-1-1-1-1-12000000
χ62222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-20000002222-2-222-1-1-1-11111-2000000
χ722-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−20022-2-22-200-111-111-1-102−22−200
χ822-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−2200
χ922-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−2200
χ1022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−200
χ112-2-22002-222-2-2000000000002-2-22002-222-2-2000000000002-2-22002-222-2-2000000000002-2-22002-222-2-2000000000002-2-22002-222-2-2000000000002-2-22002-222-2-200000000000
χ122-2-22002-2-1-111−i3i3−i3i300000002-2-22002-2-1-111−i3i3−i3i300000002-2-22002-2-1-111−i3i3−i3i300000002-2-22002-2-1-111−i3i3−i3i300000002-2-22002-2-1-111−i3i3−i3i300000002-2-22002-2-1-111−i3i3−i3i30000000
χ132-2-22002-2-1-111i3−i3i3−i300000002-2-22002-2-1-111i3−i3i3−i300000002-2-22002-2-1-111i3−i3i3−i300000002-2-22002-2-1-111i3−i3i3−i300000002-2-22002-2-1-111i3−i3i3−i300000002-2-22002-2-1-111i3−i3i3−i30000000
χ14333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1333333-1-100000000-11111-1-1
χ15333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111
χ163333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-113333-3-3-1-100000000111-1-1-11
χ173333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-13333-3-3-1-1000000001-1-1111-1
χ1844-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-111000000044-4-44-4001-1-11-1-1110000000
χ1944-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-1000000044-4-4-44001-1-1111-1-10000000
χ204-44-400001-11-1−i3i3i3−i300000004-44-400001-11-1−i3i3i3−i300000004-44-400001-11-1−i3i3i3−i300000004-44-400001-11-1−i3i3i3−i300000004-44-400001-11-1−i3i3i3−i300000004-44-400001-11-1−i3i3i3−i30000000
χ214-44-400001-11-1i3−i3−i3i300000004-44-400001-11-1i3−i3−i3i300000004-44-400001-11-1i3−i3−i3i300000004-44-400001-11-1i3−i3−i3i300000004-44-400001-11-1i3−i3−i3i300000004-44-400001-11-1i3−i3−i3i30000000
χ224-44-40000-22-22000000000004-44-40000-22-22000000000004-44-40000-22-22000000000004-44-40000-22-22000000000004-44-40000-22-22000000000004-44-40000-22-2200000000000
χ236-6-6600-220000000000000006-6-6600-220000000000000006-6-6600-220000000000000006-6-6600-220000000000000006-6-6600-220000000000000006-6-6600-22000000000000000
χ2411111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2511111111111111111-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i3211111111111111111-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i32
χ261111-1-1111111-1-1-1-1-111-1-11-1−1+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+i32−1+i321−i321−i32−1+i321−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−i32−1−i321+i321+i32−1−i321+i321111-1-1111111-1-1-1-1-111-1-11-1−1+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+i32−1+i321−i321−i32−1+i321−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−i32−1−i321+i321+i32−1−i321+i32
χ271111-1-1111111-1-1-1-1-1-1-111-11−1+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−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+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321111-1-1111111-1-1-1-1-1-1-111-11−1+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−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+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ2822222222-1-1-1-1-1-1-1-12000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i300000022222222-1-1-1-1-1-1-1-12000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3000000
χ292222-2-222-1-1-1-11111-2000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i30000002222-2-222-1-1-1-11111-2000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3000000
χ3022-2-22-200-111-111-1-102−22−200−1+i3−1+i31−i31−i3−1+i31−i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300−1−i3−1−i31+i31+i3−1−i31+i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130022-2-22-200-111-111-1-102−22−200−1+i3−1+i31−i31−i3−1+i31−i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300−1−i3−1−i31+i31+i3−1−i31+i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300
χ3122-2-22-200-111-111-1-10−22−2200−1+i3−1+i31−i31−i3−1+i31−i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−1−i3−1−i31+i31+i3−1−i31+i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130022-2-22-200-111-111-1-10−22−2200−1+i3−1+i31−i31−i3−1+i31−i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−1−i3−1−i31+i31+i3−1−i31+i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300
χ3222-2-2-2200-111-1-1-11102−2−2200−1+i3−1+i31−i31−i31−i3−1+i3001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300−1−i3−1−i31+i31+i31+i3−1−i3001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130022-2-2-2200-111-1-1-11102−2−2200−1+i3−1+i31−i31−i31−i3−1+i3001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300−1−i3−1−i31+i31+i31+i3−1−i3001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300
χ3322-2-2-2200-111-1-1-1110−222−200−1+i3−1+i31−i31−i31−i3−1+i3001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300−1−i3−1−i31+i31+i31+i3−1−i3001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130022-2-2-2200-111-1-1-1110−222−200−1+i3−1+i31−i31−i31−i3−1+i3001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300−1−i3−1−i31+i31+i31+i3−1−i3001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300
χ342-2-22002-222-2-200000000000−1+i31−i31−i3−1+i300−1+i31−i3−1+i3−1+i31−i31−i300000000000−1−i31+i31+i3−1−i300−1−i31+i3−1−i3−1−i31+i31+i3000000000002-2-22002-222-2-200000000000−1+i31−i31−i3−1+i300−1+i31−i3−1+i3−1+i31−i31−i300000000000−1−i31+i31+i3−1−i300−1−i31+i3−1−i3−1−i31+i31+i300000000000
χ352-2-22002-2-1-111−i3i3−i3i30000000−1+i31−i31−i3−1+i300−1+i31−i31−i321−i32−1+i32−1+i323+i32−3−i323+i32−3−i320000000−1−i31+i31+i3−1−i300−1−i31+i31+i321+i32−1−i32−1−i32−3+i323−i32−3+i323−i3200000002-2-22002-2-1-111−i3i3−i3i30000000−1+i31−i31−i3−1+i300−1+i31−i31−i321−i32−1+i32−1+i323+i32−3−i323+i32−3−i320000000−1−i31+i31+i3−1−i300−1−i31+i31+i321+i32−1−i32−1−i32−3+i323−i32−3+i323−i320000000
χ362-2-22002-2-1-111i3−i3i3−i30000000−1+i31−i31−i3−1+i300−1+i31−i31−i321−i32−1+i32−1+i32−3−i323+i32−3−i323+i320000000−1−i31+i31+i3−1−i300−1−i31+i31+i321+i32−1−i32−1−i323−i32−3+i323−i32−3+i3200000002-2-22002-2-1-111i3−i3i3−i30000000−1+i31−i31−i3−1+i300−1+i31−i31−i321−i32−1+i32−1+i32−3−i323+i32−3−i323+i320000000−1−i31+i31+i3−1−i300−1−i31+i31+i321+i32−1−i32−1−i323−i32−3+i323−i32−3+i320000000
χ37333333-1-100000000-11111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32000000001−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32000000001+i32−1−i32−1−i32−1−i32−1−i321+i321+i32333333-1-100000000-11111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32000000001−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32000000001+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
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χ7111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ721111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-11111-1-1111111-1-1-1-1-111-1-11-1-1-1-1-111-1-1-1-1-1-111111-1-111-11-1-1-1-111-1-1-1-1-1-111111-1-111-11-1-1-1-111-1-1-1-1-1-111111-1-111-11
χ731111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-111111-1-1111111-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-11111111-1-11-1-1-1-1-111-1-1-1-1-1-11111111-1-11-1
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χ7722-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−220022-2-22-200-111-111-1-10−22−2200-2-222-22001-1-11-1-11102−22−200-2-222-22001-1-11-1-11102−22−200-2-222-22001-1-11-1-11102−22−200
χ7822-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−220022-2-2-2200-111-1-1-11102−2−2200-2-2222-2001-1-1111-1-10−222−200-2-2222-2001-1-1111-1-10−222−200-2-2222-2001-1-1111-1-10−222−200
χ7922-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−20022-2-2-2200-111-1-1-1110−222−200-2-2222-2001-1-1111-1-102−2−2200-2-2222-2001-1-1111-1-102−2−2200-2-2222-2001-1-1111-1-102−2−2200
χ802-2-22002-222-2-2000000000002-2-22002-222-2-2000000000002-2-22002-222-2-200000000000-222-200-22-2-22200000000000-222-200-22-2-22200000000000-222-200-22-2-22200000000000
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χ84333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111333333-1-100000000-1-1-1-1-111-3-3-3-3-3-3110000000011111-1-1-3-3-3-3-3-3110000000011111-1-1-3-3-3-3-3-3110000000011111-1-1
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χ9922-2-22-200-111-111-1-102−22−200−1+i3−1+i31−i31−i3−1+i31−i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300−1−i3−1−i31+i31+i3−1−i31+i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300-2-222-22001-1-11-1-1110−22−22001−i31−i3−1+i3−1+i31−i3−1+i300−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i320−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23001+i31+i3−1−i3−1−i31+i3−1−i300−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i320ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300
χ10022-2-22-200-111-111-1-10−22−2200−1+i3−1+i31−i31−i3−1+i31−i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−1−i3−1−i31+i31+i3−1−i31+i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300-2-222-22001-1-11-1-11102−22−2001−i31−i3−1+i3−1+i31−i3−1+i300−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i320ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23001+i31+i3−1−i3−1−i31+i3−1−i300−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i320−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300
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χ1042-2-22002-2-1-111−i3i3−i3i30000000−1+i31−i31−i3−1+i300−1+i31−i31−i321−i32−1+i32−1+i323+i32−3−i323+i32−3−i320000000−1−i31+i31+i3−1−i300−1−i31+i31+i321+i32−1−i32−1−i32−3+i323−i32−3+i323−i320000000-222-200-2211-1-1i3−i3i3−i300000001−i3−1+i3−1+i31−i3001−i3−1+i3−1+i32−1+i321−i321−i32−3−i323+i32−3−i323+i3200000001+i3−1−i3−1−i31+i3001+i3−1−i3−1−i32−1−i321+i321+i323−i32−3+i323−i32−3+i320000000
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χ106333333-1-100000000-11111-1-1−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32000000001−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32000000001+i32−1−i32−1−i32−1−i32−1−i321+i321+i32-3-3-3-3-3-311000000001-1-1-1-1113−3i323−3i323−3i323−3i323−3i323−3i32−1+i32−1+i3200000000−1+i321−i321−i321−i321−i32−1+i32−1+i323+3i323+3i323+3i323+3i323+3i323+3i32−1−i32−1−i3200000000−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ107333333-1-100000000-1-1-1-1-111−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32000000001−i321−i321−i321−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32000000001+i321+i321+i321+i321+i32−1−i32−1−i32-3-3-3-3-3-3110000000011111-1-13−3i323−3i323−3i323−3i323−3i323−3i32−1+i32−1+i3200000000−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i323+3i323+3i323+3i323+3i323+3i323+3i32−1−i32−1−i3200000000−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ1083333-3-3-1-100000000111-1-1-11−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200000000−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200000000−1−i32−1−i32−1−i321+i321+i321+i32−1−i32-3-3-3-3331100000000-1-1-1111-13−3i323−3i323−3i323−3i32−3+3i32−3+3i32−1+i32−1+i32000000001−i321−i321−i32−1+i32−1+i32−1+i321−i323+3i323+3i323+3i323+3i32−3−3i32−3−3i32−1−i32−1−i32000000001+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ1093333-3-3-1-1000000001-1-1111-1−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200000000−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200000000−1−i321+i321+i32−1−i32−1−i32−1−i321+i32-3-3-3-3331100000000-111-1-1-113−3i323−3i323−3i323−3i32−3+3i32−3+3i32−1+i32−1+i32000000001−i32−1+i32−1+i321−i321−i321−i32−1+i323+3i323+3i323+3i323+3i32−3−3i32−3−3i32−1−i32−1−i32000000001+i32−1−i32−1−i321+i321+i321+i32−1−i32
χ11044-4-44-4001-1-11-1-1110000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i300−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i320000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i300−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i320000000-4-444-4400-111-111-1-100000002−2i32−2i3−2+2i3−2+2i32−2i3−2+2i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i3200000002+2i32+2i3−2−2i3−2−2i32+2i3−2−2i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320000000
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χ1134-44-400001-11-1i3−i3−i3i30000000−2+2i32−2i3−2+2i32−2i30000−1+i321−i32−1+i321−i32−3−i323+i323+i32−3−i320000000−2−2i32+2i3−2−2i32+2i30000−1−i321+i32−1−i321+i323−i32−3+i32−3+i323−i320000000-44-440000-11-11−i3i3i3−i300000002−2i3−2+2i32−2i3−2+2i300001−i32−1+i321−i32−1+i323+i32−3−i32−3−i323+i3200000002+2i3−2−2i32+2i3−2−2i300001+i32−1−i321+i32−1−i32−3+i323−i323−i32−3+i320000000
χ1144-44-40000-22-2200000000000−2+2i32−2i3−2+2i32−2i300001−i3−1+i31−i3−1+i300000000000−2−2i32+2i3−2−2i32+2i300001+i3−1−i31+i3−1−i300000000000-44-4400002-22-2000000000002−2i3−2+2i32−2i3−2+2i30000−1+i31−i3−1+i31−i3000000000002+2i3−2−2i32+2i3−2−2i30000−1−i31+i3−1−i31+i300000000000
χ1156-6-6600-22000000000000000−3+3i33−3i33−3i3−3+3i3001−i3−1+i3000000000000000−3−3i33+3i33+3i3−3−3i3001+i3−1−i3000000000000000-666-6002-20000000000000003−3i3−3+3i3−3+3i33−3i300−1+i31−i30000000000000003+3i3−3−3i3−3−3i33+3i300−1−i31+i3000000000000000
χ11611111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ11711111111111111111-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111+i321+i321+i321+i321+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−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ1181111-1-1111111-1-1-1-1-111-1-11-1−1−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−i32−1−i321+i321+i32−1−i321+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+i32−1+i321−i321−i32−1+i321−i32-1-1-1-111-1-1-1-1-1-111111-1-111-111+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32
χ1191111-1-1111111-1-1-1-1-1-1-111-11−1−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+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−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32-1-1-1-111-1-1-1-1-1-11111111-1-11-11+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32
χ12022222222-1-1-1-1-1-1-1-12000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3000000-2-2-2-2-2-2-2-211111111-20000001+i31+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i30000001−i31−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i3000000
χ1212222-2-222-1-1-1-11111-2000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i3000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i3000000-2-2-2-222-2-21111-1-1-1-120000001+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i30000001−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i3000000
χ12222-2-22-200-111-111-1-102−22−200−1−i3−1−i31+i31+i3−1−i31+i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300−1+i3−1+i31−i31−i3−1+i31−i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300-2-222-22001-1-11-1-1110−22−22001+i31+i3−1−i3−1−i31+i3−1−i300−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i320ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13001−i31−i3−1+i3−1+i31−i3−1+i300−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i320−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300
χ12322-2-22-200-111-111-1-10−22−2200−1−i3−1−i31+i31+i3−1−i31+i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i320ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300−1+i3−1+i31−i31−i3−1+i31−i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300-2-222-22001-1-11-1-11102−22−2001+i31+i3−1−i3−1−i31+i3−1−i300−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i320−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13001−i31−i3−1+i3−1+i31−i3−1+i300−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i320ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300
χ12422-2-2-2200-111-1-1-11102−2−2200−1−i3−1−i31+i31+i31+i3−1−i3001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300−1+i3−1+i31−i31−i31−i3−1+i3001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300-2-2222-2001-1-1111-1-10−222−2001+i31+i3−1−i3−1−i3−1−i31+i300−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i320ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13001−i31−i3−1+i3−1+i3−1+i31−i300−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i320−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300
χ12522-2-2-2200-111-1-1-1110−222−200−1−i3−1−i31+i31+i31+i3−1−i3001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i320ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300−1+i3−1+i31−i31−i31−i3−1+i3001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300-2-2222-2001-1-1111-1-102−2−22001+i31+i3−1−i3−1−i3−1−i31+i300−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i320−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13001−i31−i3−1+i3−1+i3−1+i31−i300−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i320ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300
χ1262-2-22002-222-2-200000000000−1−i31+i31+i3−1−i300−1−i31+i3−1−i3−1−i31+i31+i300000000000−1+i31−i31−i3−1+i300−1+i31−i3−1+i3−1+i31−i31−i300000000000-222-200-22-2-222000000000001+i3−1−i3−1−i31+i3001+i3−1−i31+i31+i3−1−i3−1−i3000000000001−i3−1+i3−1+i31−i3001−i3−1+i31−i31−i3−1+i3−1+i300000000000
χ1272-2-22002-2-1-111−i3i3−i3i30000000−1−i31+i31+i3−1−i300−1−i31+i31+i321+i32−1−i32−1−i32−3+i323−i32−3+i323−i320000000−1+i31−i31−i3−1+i300−1+i31−i31−i321−i32−1+i32−1+i323+i32−3−i323+i32−3−i320000000-222-200-2211-1-1i3−i3i3−i300000001+i3−1−i3−1−i31+i3001+i3−1−i3−1−i32−1−i321+i321+i323−i32−3+i323−i32−3+i3200000001−i3−1+i3−1+i31−i3001−i3−1+i3−1+i32−1+i321−i321−i32−3−i323+i32−3−i323+i320000000
χ1282-2-22002-2-1-111i3−i3i3−i30000000−1−i31+i31+i3−1−i300−1−i31+i31+i321+i32−1−i32−1−i323−i32−3+i323−i32−3+i320000000−1+i31−i31−i3−1+i300−1+i31−i31−i321−i32−1+i32−1+i32−3−i323+i32−3−i323+i320000000-222-200-2211-1-1−i3i3−i3i300000001+i3−1−i3−1−i31+i3001+i3−1−i3−1−i32−1−i321+i321+i32−3+i323−i32−3+i323−i3200000001−i3−1+i3−1+i31−i3001−i3−1+i3−1+i32−1+i321−i321−i323+i32−3−i323+i32−3−i320000000
χ129333333-1-100000000-11111-1-1−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32000000001+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32000000001−i32−1+i32−1+i32−1+i32−1+i321−i321−i32-3-3-3-3-3-311000000001-1-1-1-1113+3i323+3i323+3i323+3i323+3i323+3i32−1−i32−1−i3200000000−1−i321+i321+i321+i321+i32−1−i32−1−i323−3i323−3i323−3i323−3i323−3i323−3i32−1+i32−1+i3200000000−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ130333333-1-100000000-1-1-1-1-111−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i32000000001+i321+i321+i321+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i32000000001−i321−i321−i321−i321−i32−1+i32−1+i32-3-3-3-3-3-3110000000011111-1-13+3i323+3i323+3i323+3i323+3i323+3i32−1−i32−1−i3200000000−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i323−3i323−3i323−3i323−3i323−3i323−3i32−1+i32−1+i3200000000−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1313333-3-3-1-100000000111-1-1-11−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200000000−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200000000−1+i32−1+i32−1+i321−i321−i321−i32−1+i32-3-3-3-3331100000000-1-1-1111-13+3i323+3i323+3i323+3i32−3−3i32−3−3i32−1−i32−1−i32000000001+i321+i321+i32−1−i32−1−i32−1−i321+i323−3i323−3i323−3i323−3i32−3+3i32−3+3i32−1+i32−1+i32000000001−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ1323333-3-3-1-1000000001-1-1111-1−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i3200000000−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i3200000000−1+i321−i321−i32−1+i32−1+i32−1+i321−i32-3-3-3-3331100000000-111-1-1-113+3i323+3i323+3i323+3i32−3−3i32−3−3i32−1−i32−1−i32000000001+i32−1−i32−1−i321+i321+i321+i32−1−i323−3i323−3i323−3i323−3i32−3+3i32−3+3i32−1+i32−1+i32000000001−i32−1+i32−1+i321−i321−i321−i32−1+i32
χ13344-4-44-4001-1-11-1-1110000000−2−2i3−2−2i32+2i32+2i3−2−2i32+2i300−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i320000000−2+2i3−2+2i32−2i32−2i3−2+2i32−2i300−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i320000000-4-444-4400-111-111-1-100000002+2i32+2i3−2−2i3−2−2i32+2i3−2−2i3001+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i3200000002−2i32−2i3−2+2i3−2+2i32−2i3−2+2i3001−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i320000000
χ13444-4-4-44001-1-1111-1-10000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i300−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i320000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i300−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i320000000-4-4444-400-111-1-1-11100000002+2i32+2i3−2−2i3−2−2i3−2−2i32+2i3001+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i3200000002−2i32−2i3−2+2i3−2+2i3−2+2i32−2i3001−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i320000000
χ1354-44-400001-11-1−i3i3i3−i30000000−2−2i32+2i3−2−2i32+2i30000−1−i321+i32−1−i321+i32−3+i323−i323−i32−3+i320000000−2+2i32−2i3−2+2i32−2i30000−1+i321−i32−1+i321−i323+i32−3−i32−3−i323+i320000000-44-440000-11-11i3−i3−i3i300000002+2i3−2−2i32+2i3−2−2i300001+i32−1−i321+i32−1−i323−i32−3+i32−3+i323−i3200000002−2i3−2+2i32−2i3−2+2i300001−i32−1+i321−i32−1+i32−3−i323+i323+i32−3−i320000000
χ1364-44-400001-11-1i3−i3−i3i30000000−2−2i32+2i3−2−2i32+2i30000−1−i321+i32−1−i321+i323−i32−3+i32−3+i323−i320000000−2+2i32−2i3−2+2i32−2i30000−1+i321−i32−1+i321−i32−3−i323+i323+i32−3−i320000000-44-440000-11-11−i3i3i3−i300000002+2i3−2−2i32+2i3−2−2i300001+i32−1−i321+i32−1−i32−3+i323−i323−i32−3+i3200000002−2i3−2+2i32−2i3−2+2i300001−i32−1+i321−i32−1+i323+i32−3−i32−3−i323+i320000000
χ1374-44-40000-22-2200000000000−2−2i32+2i3−2−2i32+2i300001+i3−1−i31+i3−1−i300000000000−2+2i32−2i3−2+2i32−2i300001−i3−1+i31−i3−1+i300000000000-44-4400002-22-2000000000002+2i3−2−2i32+2i3−2−2i30000−1−i31+i3−1−i31+i3000000000002−2i3−2+2i32−2i3−2+2i30000−1+i31−i3−1+i31−i300000000000
χ1386-6-6600-22000000000000000−3−3i33+3i33+3i3−3−3i3001+i3−1−i3000000000000000−3+3i33−3i33−3i3−3+3i3001−i3−1+i3000000000000000-666-6002-20000000000000003+3i3−3−3i3−3−3i33+3i300−1−i31+i30000000000000003−3i3−3+3i3−3+3i33−3i300−1+i31−i3000000000000000

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