Finite Group Databasebeta

← Group #72344138

Character table — Group #72344138

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size111122446666888812121212121212121212121212121212121216161616161616161616323232323232323232323232484848486464646464646464111122446666888812121212121212121212121212121212121216161616161616161616323232323232323232323232484848486464646464646464
order1222222422222222222222222444444444334466666666666666666644446612121212121222222224222222222222222224444444446644666666666666666666444466121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111111111111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ31111111111111111111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111111111111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111111111111-1-1-1-111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1111111111111-1-1-1-111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1
χ5111111111111-1-1-1-1111111111111111111−1+i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111111111111-1-1-1-1111111111111111111−1+i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ6111111111111-1-1-1-1111111111111111111−1−i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111111111111-1-1-1-1111111111111111111−1−i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ7111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ8111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1−1+i32−1−i32-1-1−1+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−i3211-1-11−i321+i321−i321−i321−i321+i321+i321+i32111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1−1+i32−1−i32-1-1−1+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−i3211-1-11−i321+i321−i321−i321−i321+i321+i321+i32
χ9111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1−1−i32−1+i32-1-1−1−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+i3211-1-11+i321−i321+i321+i321+i321−i321−i321−i32111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1−1−i32−1+i32-1-1−1−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+i3211-1-11+i321−i321+i321+i321+i321−i321−i321−i32
χ10111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-111-111111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-111-111
χ11111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ12111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ131111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1111-1111111-1-111-1-1-1-111-1-11-11-111-11-1-11-11111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1111-1111111-1-111-1-1-1-111-1-11-11-111-11-1-11-1
χ141111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1−1+i32−1−i321-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i321111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1−1+i32−1−i321-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ151111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1−1−i32−1+i321-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i321111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1−1−i32−1+i321-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ161111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-111-11111111-1-1-1-111-1-1-1-111-11-1111-1-11-1-111111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-111-11111111-1-1-1-111-1-1-1-111-11-1111-1-11-1-11
χ171111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-1−1+i32−1−i32-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i321111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-1−1+i32−1−i32-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ181111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-1−1−i32−1+i32-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-11-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i321111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-1−1−i32−1+i32-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-11-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ191111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-111111-11111111-1-111-1-1-1-111-1-11-1-11-1-11-111-111111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-111111-11111111-1-111-1-1-1-111-1-11-1-11-1-11-111-11
χ201111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-1111−1+i32−1−i32-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321-1-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i321111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-1111−1+i32−1−i32-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321-1-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ211111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-1111−1−i32−1+i32-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321-1-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i321111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-1111−1−i32−1+i32-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321-1-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ221111-1-1-11-1-111-1-11111-1-1-1-1-11111-1-1-1-1111111-1111111-1-1-1-111-1-1-1-111-111-1-1-111-111-11111-1-1-11-1-111-1-11111-1-1-1-1-11111-1-1-1-1111111-1111111-1-1-1-111-1-1-1-111-111-1-1-111-111-1
χ231111-1-1-11-1-111-1-11111-1-1-1-1-11111-1-1-1-1111−1+i32−1−i321-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i321111-1-1-11-1-111-1-11111-1-1-1-1-11111-1-1-1-1111−1+i32−1−i321-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ241111-1-1-11-1-111-1-11111-1-1-1-1-11111-1-1-1-1111−1−i32−1+i321-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i321111-1-1-11-1-111-1-11111-1-1-1-1-11111-1-1-1-1111−1−i32−1+i321-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ252-2-222-2002-22-200002-22-2000002-22-20000022002-2-22-2-22-200002-200000000000000002-2-222-2002-22-200002-22-2000002-22-20000022002-2-22-2-22-200002-20000000000000000
χ262-2-222-2002-22-200002-22-2000002-22-200000−1+i3−1−i300−1+i31−i31−i3−1−i31+i31+i3−1+i31−i30000−1−i31+i300000000000000002-2-222-2002-22-200002-22-2000002-22-200000−1+i3−1−i300−1+i31−i31−i3−1−i31+i31+i3−1+i31−i30000−1−i31+i30000000000000000
χ272-2-222-2002-22-200002-22-2000002-22-200000−1−i3−1+i300−1−i31+i31+i3−1+i31−i31−i3−1−i31+i30000−1+i31−i300000000000000002-2-222-2002-22-200002-22-2000002-22-200000−1−i3−1+i300−1−i31+i31+i3−1+i31−i31−i3−1−i31+i30000−1+i31−i30000000000000000
χ282-2-22-2200-222-200002-2-22000002-2-220000022002-2-22-2-2-220000-2200000000000000002-2-22-2200-222-200002-2-22000002-2-220000022002-2-22-2-2-220000-220000000000000000
χ292-2-22-2200-222-200002-2-22000002-2-2200000−1+i3−1−i300−1+i31−i31−i3−1−i31+i31+i31−i3−1+i300001+i3−1−i300000000000000002-2-22-2200-222-200002-2-22000002-2-2200000−1+i3−1−i300−1+i31−i31−i3−1−i31+i31+i31−i3−1+i300001+i3−1−i30000000000000000
χ302-2-22-2200-222-200002-2-22000002-2-2200000−1−i3−1+i300−1−i31+i31+i3−1+i31−i31−i31+i3−1−i300001−i3−1+i300000000000000002-2-22-2200-222-200002-2-22000002-2-2200000−1−i3−1+i300−1−i31+i31+i3−1+i31−i31−i31+i3−1−i300001−i3−1+i30000000000000000
χ313333333333333333-1-1-1-13-1-1-1-1-1-1-1-1-1-13-1-10033000000000000000000-1-1-1-1000000003333333333333333-1-1-1-13-1-1-1-1-1-1-1-1-1-13-1-10033000000000000000000-1-1-1-100000000
χ32333333333333-3-3-3-3-1-1-1-13-1-1-1-1-1-1-1-1-1-13-1-100-3-3000000000000000000111100000000333333333333-3-3-3-3-1-1-1-13-1-1-1-1-1-1-1-1-1-13-1-100-3-3000000000000000000111100000000
χ33333333-3-333333333-1-1-1-1-31111-1-1-1-111-31100-3-3000000000000000000-1-11100000000333333-3-333333333-1-1-1-1-31111-1-1-1-111-31100-3-3000000000000000000-1-11100000000
χ34333333-3-33333-3-3-3-3-1-1-1-1-31111-1-1-1-111-311003300000000000000000011-1-100000000333333-3-33333-3-3-3-3-1-1-1-1-31111-1-1-1-111-311003300000000000000000011-1-100000000
χ353333-3-33-3-3-33333-3-3-1-1113-1-111-1-111-1-1-311003-3000000000000000000-11-11000000003333-3-33-3-3-33333-3-3-1-1113-1-111-1-111-1-1-311003-3000000000000000000-11-1100000000
χ363333-3-33-3-3-333-3-333-1-1113-1-111-1-111-1-1-31100-330000000000000000001-11-1000000003333-3-33-3-3-333-3-333-1-1113-1-111-1-111-1-1-31100-330000000000000000001-11-100000000
χ373333-3-3-33-3-33333-3-3-1-111-311-1-1-1-111113-1-100-33000000000000000000-111-1000000003333-3-3-33-3-33333-3-3-1-111-311-1-1-1-111113-1-100-33000000000000000000-111-100000000
χ383333-3-3-33-3-333-3-333-1-111-311-1-1-1-111113-1-1003-30000000000000000001-1-11000000003333-3-3-33-3-333-3-333-1-111-311-1-1-1-111113-1-1003-30000000000000000001-1-1100000000
χ3966666666-2-2-2-200002222-222-2-2-2-2-2-2-2-2-222000000000000000000000000000000000066666666-2-2-2-200002222-222-2-2-2-2-2-2-2-2-2220000000000000000000000000000000000
χ4066666666-2-2-2-20000-2-2-2-2-2-2-222222222-2-2-2000000000000000000000000000000000066666666-2-2-2-20000-2-2-2-2-2-2-222222222-2-2-20000000000000000000000000000000000
χ41666666-6-6-2-2-2-2000022222-2-222-2-2-2-2222-2-20000000000000000000000000000000000666666-6-6-2-2-2-2000022222-2-222-2-2-2-2222-2-20000000000000000000000000000000000
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χ6911111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ701111111111111111111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i32-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32
χ711111111111111111111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i32-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32
χ72111111111111-1-1-1-111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-111-111
χ73111111111111-1-1-1-1111111111111111111−1+i32−1−i32-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i321+i32111−i321−i321−i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ74111111111111-1-1-1-1111111111111111111−1−i32−1+i32-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i32111+i321+i321+i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ75111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ76111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1−1+i32−1−i32-1-1−1+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−i3211-1-11−i321+i321−i321−i321−i321+i321+i321+i32-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111−i321+i32111−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ77111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1−1−i32−1+i32-1-1−1−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+i3211-1-11+i321−i321+i321+i321+i321−i321−i321−i32-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111+i321−i32111+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ78111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111-1-11-1-1
χ79111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1111111−i321+i32-1-11−i321−i321−i321+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ80111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1-1-1-1111111+i321−i32-1-11+i321+i321+i321−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ811111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1111-1111111-1-111-1-1-1-111-1-11-11-111-11-1-11-1-1-1-1-111-1111-1-1-1-111-1-111-1-1-111-1-111-1-1111-1-1-11-1-1-1-1-1-111-1-11111-1-111-11-11-1-11-111-11
χ821111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1−1+i32−1−i321-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-1-1-1-111-1111-1-1-1-111-1-111-1-1-111-1-111-1-11111−i321+i32-111−i321−i321−i321+i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ831111-1-11-1-1-11111-1-111-1-1111-1-111-1-111-1-1-1−1−i32−1+i321-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-1-1-1-111-1111-1-1-1-111-1-111-1-1-111-1-111-1-11111+i321−i32-111+i321+i321+i321−i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ841111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-111-11111111-1-1-1-111-1-1-1-111-11-1111-1-11-1-11-1-1-1-111-1111-1-111-1-1-1-111-1-1-111-1-111-1-1111-1-11-1-1-1-1-1-1-11111-1-11111-1-11-11-1-1-111-111-1
χ851111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-1−1+i32−1−i32-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32-11-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32-1-1-1-111-1111-1-111-1-1-1-111-1-1-111-1-111-1-11111−i321+i321-11−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321-11-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ861111-1-11-1-1-111-1-11111-1-1111-1-111-1-111-1-1-1−1−i32−1+i32-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-11-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-1-1-111-1111-1-111-1-1-1-111-1-1-111-1-111-1-11111+i321−i321-11+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321-11-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ871111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-111111-11111111-1-111-1-1-1-111-1-11-1-11-1-11-111-11-1-1-1-1111-111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111-1-11111-1-111-111-111-11-1-11-1
χ881111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-1111−1+i32−1−i32-11−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i321-1-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32-1-1-1-1111-111-1-1-1-111-1-111111-1-1-1-11111-1-1-11−i321+i321-11−i321−i321−i321+i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32-111-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ891111-1-1-11-1-11111-1-111-1-1-1-1-11111-1-1-1-1111−1−i32−1+i32-11−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i321-1-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32-1-1-1-1111-111-1-1-1-111-1-111111-1-1-1-11111-1-1-11+i321−i321-11+i321+i321+i321−i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-111-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ901111-1-1-11-1-111-1-11111-1-1-1-1-11111-1-1-1-1111111-1111111-1-1-1-111-1-1-1-111-111-1-1-111-111-1-1-1-1-1111-111-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-11-1-11
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χ921111-1-1-11-1-111-1-11111-1-1-1-1-11111-1-1-1-1111−1−i32−1+i321-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32-1-1-1-1111-111-1-111-1-1-1-111111-1-1-1-11111-1-1-11+i321−i32-111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ932-2-222-2002-22-200002-22-2000002-22-20000022002-2-22-2-22-200002-20000000000000000-222-2-2200-22-220000-22-2200000-22-2200000-2-200-222-222-220000-220000000000000000
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χ10766666666-2-2-2-200002222-222-2-2-2-2-2-2-2-2-2220000000000000000000000000000000000-6-6-6-6-6-6-6-622220000-2-2-2-22-2-2222222222-2-20000000000000000000000000000000000
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χ109666666-6-6-2-2-2-2000022222-2-222-2-2-2-2222-2-20000000000000000000000000000000000-6-6-6-6-6-66622220000-2-2-2-2-222-2-22222-2-2-2220000000000000000000000000000000000
χ110666666-6-6-2-2-2-20000-2-2-2-2222-2-22222-2-22220000000000000000000000000000000000-6-6-6-6-6-666222200002222-2-2-222-2-2-2-222-2-2-20000000000000000000000000000000000
χ1116666-6-66-622-2-2000022-2-2-22222-2-222-2-22-2-20000000000000000000000000000000000-6-6-6-666-66-2-2220000-2-2222-2-2-2-222-2-222-2220000000000000000000000000000000000
χ1126666-6-66-622-2-20000-2-222-2-2-2-2-222-2-2222220000000000000000000000000000000000-6-6-6-666-66-2-222000022-2-222222-2-222-2-2-2-2-20000000000000000000000000000000000
χ1136666-6-6-6622-2-2000022-2-22-2-2-2-2-2-22222-2220000000000000000000000000000000000-6-6-6-6666-6-2-2220000-2-222-2222222-2-2-2-22-2-20000000000000000000000000000000000
χ1146666-6-6-6622-2-20000-2-2222222222-2-2-2-2-2-2-20000000000000000000000000000000000-6-6-6-6666-6-2-222000022-2-2-2-2-2-2-2-2-222222220000000000000000000000000000000000
χ1156-6-666-6006-66-60000-22-2200000-22-22000000000000000000000000000000000000000-666-6-6600-66-6600002-22-2000002-22-2000000000000000000000000000000000000000
χ1166-6-666-600-22-2200002-22-204-400-22-220004-40000000000000000000000000000000000-666-6-66002-22-20000-22-220-44002-22-2000-440000000000000000000000000000000000
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χ1186-6-666-600-22-220000-22-220004-42-22-24-40000000000000000000000000000000000000-666-6-66002-22-200002-22-2000-44-22-22-440000000000000000000000000000000000000
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χ1206-6-66-66002-2-2200002-2-2204-400-222-2000-440000000000000000000000000000000000-666-66-600-222-20000-222-20-44002-2-220004-40000000000000000000000000000000000
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χ12588-8-800000000004-40000000000000000002200-22-2-22-200002-200002-2000000000000-8-8880000000000-44000000000000000000-2-2002-222-220000-220000-22000000000000
χ12688-8-800000000004-4000000000000000000−1+i3−1−i3001−i3−1+i31−i31+i3−1−i31+i30000−1+i31−i30000−1−i31+i3000000000000-8-8880000000000-440000000000000000001−i31+i300−1+i31−i3−1+i3−1−i31+i3−1−i300001−i3−1+i300001+i3−1−i3000000000000
χ12788-8-800000000004-4000000000000000000−1−i3−1+i3001+i3−1−i31+i31−i3−1+i31−i30000−1−i31+i30000−1+i31−i3000000000000-8-8880000000000-440000000000000000001+i31−i300−1−i31+i3−1−i3−1+i31−i3−1+i300001+i3−1−i300001−i3−1+i3000000000000
χ12888-8-80000000000-440000000000000000002200-22-2-22-20000-220000-22000000000000-8-88800000000004-4000000000000000000-2-2002-222-2200002-200002-2000000000000
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χ1328-88-8000000004-400000000000000000000−1+i3−1−i3001−i31−i3−1+i31+i31+i3−1−i300−1+i31−i30000−1−i31+i300000000000000-88-8800000000-44000000000000000000001−i31+i300−1+i3−1+i31−i3−1−i3−1−i31+i3001−i3−1+i300001+i3−1−i300000000000000
χ1338-88-8000000004-400000000000000000000−1−i3−1+i3001+i31+i3−1−i31−i31−i3−1+i300−1−i31+i30000−1+i31−i300000000000000-88-8800000000-44000000000000000000001+i31−i300−1−i3−1−i31+i3−1+i3−1+i31−i3001+i3−1−i300001−i3−1+i300000000000000
χ1348-88-800000000-44000000000000000000002200-2-22-2-2200-220000-2200000000000000-88-88000000004-400000000000000000000-2-20022-222-2002-200002-200000000000000
χ1358-88-800000000-4400000000000000000000−1+i3−1−i3001−i31−i3−1+i31+i31+i3−1−i3001−i3−1+i300001+i3−1−i300000000000000-88-88000000004-4000000000000000000001−i31+i300−1+i3−1+i31−i3−1−i3−1−i31+i300−1+i31−i30000−1−i31+i300000000000000
χ1368-88-800000000-4400000000000000000000−1−i3−1+i3001+i31+i3−1−i31−i31−i3−1+i3001+i3−1−i300001−i3−1+i300000000000000-88-88000000004-4000000000000000000001+i31−i300−1−i3−1−i31+i3−1+i3−1+i31−i300−1−i31+i30000−1+i31−i300000000000000

Here i is the imaginary unit (i² = −1).