Finite Group Databasebeta

← Group #14518676

Character table — Group #14518676

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1122222222223333444444446666666666666666666666666666666666612121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818545454545454545454162162162
order12333336666633663333666633333333333334666666666666612121212121212123333333333366666666666121212121212121212121212121212121212121212121212266666666266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ41111111111111111111111111111111111111-11111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32
χ6111111111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321−i321+i321+i321−i321−i32-11+i321−i32
χ7111111111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-1−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-11+i321−i32
χ8111111111111−1−i32−1+i32−1−i32−1+i3211111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32-1−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-11+i321−i321+i321+i321−i321−i321−1−i32−1+i32
χ9111111111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32
χ10111111111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321+i321−i321−i321+i321+i32-11−i321+i32
χ11111111111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-11−i321+i32
χ12111111111111−1+i32−1−i32−1+i32−1−i3211111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32-1−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-11−i321+i321−i321−i321+i321+i321−1+i32−1−i32
χ13222222222222222222222222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-122222222-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ14222222222222222222222222-1-1-12-1-1-12-1-1-122-222-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111000000000000
χ15222222222222−1−i3−1+i3−1−i3−1+i322222222-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i32−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3222222222-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3-1-1-1-1-1-1−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000000000
χ16222222222222−1−i3−1+i3−1−i3−1+i322222222-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i3-2−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-2-2-2-2-2-2-2-2-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321+i31−i31111111+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ17222222222222−1+i3−1−i3−1+i3−1−i322222222-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i32−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3222222222-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3-1-1-1-1-1-1−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000000000
χ18222222222222−1+i3−1−i3−1+i3−1−i322222222-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i3-2−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-2-2-2-2-2-2-2-2-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321−i31+i31111111−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000
χ19222222-1-122222222-1-1-1-1-1-1-1-122222222222-1-10-1-12222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002-1-122-1-1-1-1000
χ20222222-1-122222222-1-1-1-1-1-1-1-122222222222-1-10-1-12222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-211-2-21111000
χ21222222-1-12222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-1222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321−i3201+i321−i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300000000-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i320000000000000000000000002-1-1−1−i3−1+i31+i321+i321−i321−i32000
χ22222222-1-12222−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1-1-1222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321−i3201+i321−i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i300000000-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000-2111+i31−i3−1−i32−1−i32−1+i32−1+i32000
χ23222222-1-12222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-1222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321+i3201−i321+i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300000000-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i320000000000000000000000002-1-1−1+i3−1−i31−i321−i321+i321+i32000
χ24222222-1-12222−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1-1-1222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321+i3201−i321+i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i300000000-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000-2111−i31+i3−1+i32−1+i32−1−i32−1−i32000
χ25222-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-12-1-1222222-1-1-12-1-1-12-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ26222-1-1-1222-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-12-1-122-2222-1-1-12-1-1-12-1-1-2-21111112-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-1-2-2-2-2111111-2-2111111-2-21111000000000000
χ27222-1-1-1222-1-1-122222-1-1-12-1-1-1-12-1-1-12-1-1-12-122222-12-1-1-12-1-1-12-122-1-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ28222-1-1-1222-1-1-122222-1-1-12-1-1-1-12-1-1-12-1-1-12-122-222-12-1-1-12-1-1-12-1-2-2111111-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-2-211-2-2111111-2-2111111-2-211000000000000
χ29222-1-1-1222-1-1-122222-1-1-12-1-1-1-1-12-1-1-12-1-1-1222222-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ30222-1-1-1222-1-1-122222-1-1-12-1-1-1-1-12-1-1-12-1-1-1222-222-1-12-1-1-12-1-1-12-2-2111111-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-2-21111-2-2111111-2-2111111-2-2000000000000
χ31222-1-1-1222-1-1-1−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i32−1−i3−1+i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i3222-1-1-1-1-1-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i322-1-1-1-11+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000000000
χ32222-1-1-1222-1-1-1−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i3-2−1−i3−1+i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-2-21111112-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i31−i3-2-21111−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000000000
χ33222-1-1-1222-1-1-1−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i32−1−i3−1+i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i3222-1-1-1-1-1-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i3-1-122-1-11+i321+i321+i321+i32−1−i3−1−i31+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32000000000000
χ34222-1-1-1222-1-1-1−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i3-2−1−i3−1+i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-2-2111111-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i31−i311-2-211−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000000000
χ35222-1-1-1222-1-1-1−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i32−1−i3−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i322-1-1-1-1-1-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i3-1-1-1-1221+i321+i321+i321+i321+i321+i32−1−i3−1−i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3000000000000
χ36222-1-1-1222-1-1-1−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i3-2−1−i3−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-2-2111111-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i31−i31111-2-2−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3000000000000
χ37222-1-1-1222-1-1-1−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i32−1+i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i3222-1-1-1-1-1-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i322-1-1-1-11−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000000000
χ38222-1-1-1222-1-1-1−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32−1+i3−1−i3-2−1+i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-2-21111112-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i31+i3-2-21111−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000000000
χ39222-1-1-1222-1-1-1−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i32−1+i3−1−i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i3222-1-1-1-1-1-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i3-1-122-1-11−i321−i321−i321−i32−1+i3−1+i31−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32000000000000
χ40222-1-1-1222-1-1-1−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i3-2−1+i3−1−i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-2-2111111-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i31+i311-2-211−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32000000000000
χ41222-1-1-1222-1-1-1−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i32−1+i3−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i322-1-1-1-1-1-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i3-1-1-1-1221−i321−i321−i321−i321−i321−i32−1+i3−1+i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3000000000000
χ42222-1-1-1222-1-1-1−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i3-2−1+i3−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-2-2111111-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i31+i31111-2-2−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3000000000000
χ432-222222-2-2-2-2-222-2-22222-2-2-2-222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-20000000022222222222-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ442-222222-2-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-12-1-1-1220-2-2111-2111-211100000000-1-1-12-1-1-12-1-1-1111-2111-2111003−33−33−3003−33−33−3003−33−33−3000000000000
χ452-222222-2-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-12-1-1-1220-2-2111-2111-211100000000-1-1-12-1-1-12-1-1-1111-2111-211100−33−33−3300−33−33−3300−33−33−33000000000000
χ462-222222-2-2-2-2-2−1−i3−1+i31+i31−i32222-2-2-2-2222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i301+i31−i3-2-2-21+i31+i31+i31+i31−i31−i31−i31−i300000000222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-2-2-21+i31+i31+i31+i31−i31−i31−i31−i3000000000000000000000000000000000000
χ472-222222-2-2-2-2-2−1−i3−1+i31+i31−i32222-2-2-2-2-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i301+i31−i31111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200000000-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32003−33−33−3002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ1100−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ482-222222-2-2-2-2-2−1−i3−1+i31+i31−i32222-2-2-2-2-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i301+i31−i31111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200000000-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i3200−33−33−3300−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ1100ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ492-222222-2-2-2-2-2−1+i3−1−i31−i31+i32222-2-2-2-2222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i301−i31+i3-2-2-21−i31−i31−i31−i31+i31+i31+i31+i300000000222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-2-2-21−i31−i31−i31−i31+i31+i31+i31+i3000000000000000000000000000000000000
χ502-222222-2-2-2-2-2−1+i3−1−i31−i31+i32222-2-2-2-2-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i301−i31+i31111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200000000-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32003−33−33−300−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000000000000
χ512-222222-2-2-2-2-2−1+i3−1−i31−i31+i32222-2-2-2-2-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i301−i31+i31111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200000000-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i3200−33−33−3300ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ1100−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000000000000
χ522-22222-11-2-2-2-222-2-2-1-1-1-1111122222222222-1-1011-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1111111111110000000000000000000000000−i3i300−i3i3−i3i3000
χ532-22222-11-2-2-2-222-2-2-1-1-1-1111122222222222-1-1011-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1111111111110000000000000000000000000i3−i300i3−i3i3−i3000
χ542-22222-11-2-2-2-2−1−i3−1+i31+i31−i3-1-1-1-11111222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321−i320−1−i32−1+i32-2-2-21+i31+i31+i31+i31−i31−i31−i31−i300000000-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000000−i3i300−3+i323−i323+i32−3−i32000
χ552-22222-11-2-2-2-2−1−i3−1+i31+i31−i3-1-1-1-11111222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321−i320−1−i32−1+i32-2-2-21+i31+i31+i31+i31−i31−i31−i31−i300000000-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000000000000000000i3−i3003−i32−3+i32−3−i323+i32000
χ562-22222-11-2-2-2-2−1+i3−1−i31−i31+i3-1-1-1-11111222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321+i320−1+i32−1−i32-2-2-21−i31−i31−i31−i31+i31+i31+i31+i300000000-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000000000000000000−i3i3003+i32−3−i32−3+i323−i32000
χ572-22222-11-2-2-2-2−1+i3−1−i31−i31+i3-1-1-1-11111222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321+i320−1+i32−1−i32-2-2-21−i31−i31−i31−i31+i31+i31+i31+i300000000-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000000000000000000i3−i300−3−i323+i323−i32−3+i32000
χ582-22-1-1-12-2-211122-2-22-1-1-1-21112-1-1-12-1-1-12-1-1220-2-2-2111-2111-21100333−3−3−32-1-1-12-1-1-12-1-1-2111-2111-21100003−3−333−3003−3−333−3003−3−33000000000000
χ592-22-1-1-12-2-211122-2-22-1-1-1-21112-1-1-12-1-1-12-1-1220-2-2-2111-2111-21100−3−3−33332-1-1-12-1-1-12-1-1-2111-2111-2110000−333−3−3300−333−3−3300−333−3000000000000
χ602-22-1-1-12-2-211122-2-22-1-1-1-2111-12-1-1-12-1-1-12-1220-2-21-2111-2111-2100333−3−3−3-12-1-1-12-1-1-12-11-2111-2111-2100−33003−33−3−33003−33−3−33003−3000000000000
χ612-22-1-1-12-2-211122-2-22-1-1-1-2111-12-1-1-12-1-1-12-1220-2-21-2111-2111-2100−3−3−3333-12-1-1-12-1-1-12-11-2111-2111-21003−300−33−333−300−33−333−300−33000000000000
χ622-22-1-1-12-2-211122-2-22-1-1-1-2111-1-12-1-1-12-1-1-12220-2-211-2111-2111-200333−3−3−3-1-12-1-1-12-1-1-1211-2111-2111-2003−3−33003−33−3−33003−33−3−3300000000000000
χ632-22-1-1-12-2-211122-2-22-1-1-1-2111-1-12-1-1-12-1-1-12220-2-211-2111-2111-200−3−3−3333-1-12-1-1-12-1-1-1211-2111-2111-200−333−300−33−333−300−33−333−300000000000000
χ642-22-1-1-12-2-2111−1−i3−1+i31+i31−i32-1-1-1-21112-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i301+i31−i3-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200333−3−3−32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200003−3−332ζ7+ζ11−2ζ7−ζ11002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ1100−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000000000
χ652-22-1-1-12-2-2111−1−i3−1+i31+i31−i32-1-1-1-21112-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32−1−i3−1+i301+i31−i3-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i3200−3−3−33332-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320000−333−3−2ζ7−ζ112ζ7+ζ1100−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ1100ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000000000
χ662-22-1-1-12-2-2111−1−i3−1+i31+i31−i32-1-1-1-2111-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i301+i31−i31-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i3200333−3−3−3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i3200−33003−32ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100−ζ7−2ζ11ζ7+2ζ11000000000000
χ672-22-1-1-12-2-2111−1−i3−1+i31+i31−i32-1-1-1-2111-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32−1−i3−1+i301+i31−i31-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i3200−3−3−3333-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321-21−1−i32−1−i321+i3−1−i32−1+i32−1+i321−i3−1+i32003−300−33−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100ζ7+2ζ11−ζ7−2ζ11000000000000
χ682-22-1-1-12-2-2111−1−i3−1+i31+i31−i32-1-1-1-2111-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i301+i31−i311-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i300333−3−3−3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i311-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3003−3−33002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000
χ692-22-1-1-12-2-2111−1−i3−1+i31+i31−i32-1-1-1-2111-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3−1−i3−1+i301+i31−i311-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i300−3−3−3333-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i311-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i300−333−300−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000
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χ722-22-1-1-12-2-2111−1+i3−1−i31−i31+i32-1-1-1-2111-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i301−i31+i31-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i3200333−3−3−3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i3200−33003−3−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11002ζ7+ζ11−2ζ7−ζ11000000000000
χ732-22-1-1-12-2-2111−1+i3−1−i31−i31+i32-1-1-1-2111-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32−1+i3−1−i301−i31+i31-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i3200−3−3−3333-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321-21−1+i32−1+i321−i3−1+i32−1−i32−1−i321+i3−1−i32003−300−33ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100−2ζ7−ζ112ζ7+ζ11000000000000
χ742-22-1-1-12-2-2111−1+i3−1−i31−i31+i32-1-1-1-2111-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i301−i31+i311-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300333−3−3−3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i311-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i3003−3−3300−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11002ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000000000
χ752-22-1-1-12-2-2111−1+i3−1−i31−i31+i32-1-1-1-2111-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3−1+i3−1−i301−i31+i311-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300−3−3−3333-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i311-2−1+i32−1+i32−1+i321−i3−1−i32−1−i32−1−i321+i300−333−300ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ1100−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ1100000000000000
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χ77444444-2-24444−2−2i3−2+2i3−2−2i3−2+2i3-2-2-2-2-2-2-2-2-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i31+i31−i301+i31−i3-2-2-2−2−2i31+i31+i31+i3−2+2i31−i31−i31−i3000000001111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i321111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32000000000000000000000000000000000000
χ78444444-2-24444−2+2i3−2−2i3−2+2i3−2−2i3-2-2-2-2-2-2-2-2-2-2-2−2+2i31−i31−i31−i3−2−2i31+i31+i31+i31−i31+i301−i31+i3-2-2-2−2+2i31−i31−i31−i3−2−2i31+i31+i31+i3000000001111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i321111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32000000000000000000000000000000000000
χ79444-2-2-2-2-24-2-2-24444-2111-21114-2-2-24-2-2-24-2-2-2-20-2-24-2-2-24-2-2-24-2-200000000-2111-2111-211-2111-2111-211000000000000000000000000000000000000
χ80444-2-2-2-2-24-2-2-24444-2111-2111-24-2-2-24-2-2-24-2-2-20-2-2-24-2-2-24-2-2-24-2000000001-2111-2111-211-2111-2111-21000000000000000000000000000000000000
χ81444-2-2-2-2-24-2-2-24444-2111-2111-2-24-2-2-24-2-2-24-2-20-2-2-2-24-2-2-24-2-2-240000000011-2111-2111-211-2111-2111-2000000000000000000000000000000000000
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χ84444-2-2-2-2-24-2-2-2−2−2i3−2+2i3−2−2i3−2+2i3-2111-2111-2-241+i31+i31+i3−2−2i31−i31−i31−i3−2+2i31+i31−i301+i31−i3-2-241+i31+i31+i3−2−2i31−i31−i31−i3−2+2i30000000011-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i311-2−1−i32−1−i32−1−i321+i3−1+i32−1+i32−1+i321−i3000000000000000000000000000000000000
χ85444-2-2-2-2-24-2-2-2−2+2i3−2−2i3−2+2i3−2−2i3-2111-21114-2-21−i3−2+2i31−i31−i31+i3−2−2i31+i31+i31−i31+i301−i31+i34-2-21−i3−2+2i31−i31−i31+i3−2−2i31+i31+i300000000-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32-211−1+i321−i3−1+i32−1+i32−1−i321+i3−1−i32−1−i32000000000000000000000000000000000000
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χ914-44-2-2-2-22-422244-4-4-21112-1-1-14-2-2-24-2-2-24-2-2-2-2022-4222-4222-42200000000-2111-2111-2112-1-1-12-1-1-12-1-1000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.