Finite Group Databasebeta

← Group #72231657

Character table — Group #72231657

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1122222224444444444444444444444444488888888888888888888888888888888888888888888888888888888888810101010101010102020202020202020252540404040404040404040404040404040404040404040404050505050505050100100150150150150150150150150150150150150150150150150
order122223666556610101010101015151515303030303030303030303030551010101010101010101010101010101010101515151530303030303030303030303030303030303030303030303030303030303030303030303022224444666612121212221010101020202020303030303030303060606060606060602226666664444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1
χ9111-1-1111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-111-1-111-1-1
χ10111-1-1111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-111-1-111
χ11111-1-1111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111-1-1111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111-1-1111111-1-1111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1711-11-11-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1111-11-11-11-111-1-111-1-111-1-111-1-1-11-111-1-11-11-11-11-11-11-11-11-11-1
χ1811-11-11-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-11-11-1111-11-11-11-111-1-111-1-111-1-111-1-1-11-111-1-11-1-11-11-11-11-11-11-11-11
χ1911-11-11-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-11-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1111-11-1-111-11i−ii−ii−ii−i−ii−ii−ii−ii
χ2011-11-11-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-11-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1111-11-1-111-11−ii−ii−ii−iii−ii−ii−ii−i
χ2111-11-11-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11-11-1-111-11i−ii−i−ii−iii−ii−i−ii−ii
χ2211-11-11-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11-11-1-111-11−ii−iii−ii−i−ii−iii−ii−i
χ2311-11-11-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-1111-11-11-11-11-1-111-1-111-1-111-1-111-11-111-1-11-11-11-1-11-11-11-111-11-1
χ2411-11-11-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11-11-1111-11-11-11-11-1-111-1-111-1-111-1-111-11-111-1-11-1-11-111-11-11-11-1-11-11
χ2511-1-111-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-111-11-1-11-11111-11-1-11-1111-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-111-1-111-1-111-1-11
χ2611-1-111-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-111-11-1-11-11111-11-1-11-1111-1-111-1-1-1-111-1-111-1-1111-1-1-11-111-1-111-1-111-1-111-1
χ2711-1-111-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-11-1-11-111-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-111-1-1-1111-1i−i−iii−i−ii−iii−i−iii−i
χ2811-1-111-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-11-1-11-111-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-111-1-1-1111-1−iii−i−iii−ii−i−iii−i−ii
χ2911-1-111-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-11-111-11-1-11-1-1-111-11-1-11-1-11111-1-111-1-1-1-11111-1-1-1111-1i−i−ii−iii−ii−i−ii−iii−i
χ3011-1-111-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-11-111-11-1-11-1-1-111-11-1-11-1-11111-1-111-1-1-1-11111-1-1-1111-1−iii−ii−i−ii−iii−ii−i−ii
χ3111-1-111-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1-11-111-11-111-11-111-11-1-1-111-1-11111-1-111-1-1-1-1111-1-1-111-1-11-111-1-111-11-1-11
χ3211-1-111-1-1111-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1-11-111-11-111-11-111-11-1-1-111-1-11111-1-111-1-1-1-1111-1-1-11-111-11-1-111-1-11-111-1
χ3322222-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000000000
χ3422222-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-1-111-1-111-2-222-2-222-2-2-1-1-1-11111-1-1-1-11111-2-2-21111110000000000000000
χ3522222-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-22211-1-111-1-1-2-2-2-222-2-2221111-1-1-1-11111-1-1-1-1-2-2-21111110000000000000000
χ3622222-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111122-2-2-2-2-2-2-2-21111111111111111222-1-1-1-1-1-10000000000000000
χ37222-2-2-1-1-1-12211222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-11111222222-2-2-2-2-1-1-1-1-1-1-1-1111111112-2-2-1-1-1-1110000000000000000
χ38222-2-2-1-1-1-12211222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-222-1-11111-1-1-2-222-2-2-2-222-1-1-1-111111111-1-1-1-1-2221111-1-10000000000000000
χ39222-2-2-1-1-1-12211222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-22222-2-211-1-1-1-111-2-2-2-22222-2-21111-1-1-1-1-1-1-1-11111-2221111-1-10000000000000000
χ40222-2-2-1-1-1-12211222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2222222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-222221111-1-1-1-122-2-2-2-2222211111111-1-1-1-1-1-1-1-12-2-2-1-1-1-1110000000000000000
χ4122-22-2-111-122-11-2-2-2-222-1-1-1-111111111-1-1-1-12222-2-222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111112-22-22-22-2-11-11-11-11222-22-22-22-2-1-111-1-111-1-111-1-111-22-2-1-111-110000000000000000
χ4222-22-2-111-122-11-2-2-2-222-1-1-1-111111111-1-1-1-12222-2-222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111112-2-222-2-22-111-1-111-1-2-22-2-222-2-22-1-11111-1-1-1-11111-1-12-2211-1-11-10000000000000000
χ4322-22-2-111-122-11-2-2-2-222-1-1-1-111111111-1-1-1-12222-2-222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-222-2-222-21-1-111-1-11-2-2-222-2-222-211-1-1-1-11111-1-1-1-1112-2211-1-11-10000000000000000
χ4422-22-2-111-122-11-2-2-2-222-1-1-1-111111111-1-1-1-12222-2-222-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-22-22-22-221-11-11-11-122-22-22-22-2211-1-111-1-111-1-111-1-1-22-2-1-111-110000000000000000
χ4522-2-22-111-1221-1-2-2-2-222-1-1-1-111111111-1-1-1-122-2-22222-2-2-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-12-22-2-22-22-11-111-11-1222-22-2-22-22-1-111-1-11111-1-111-1-1-2-22-1-1111-10000000000000000
χ4622-2-22-111-1221-1-2-2-2-222-1-1-1-111111111-1-1-1-122-2-22222-2-2-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-12-2-22-222-2-111-11-1-11-2-22-2-22-222-2-1-11111-1-111-1-1-1-11122-211-1-1-110000000000000000
χ4722-2-22-111-1221-1-2-2-2-222-1-1-1-111111111-1-1-1-122-2-22222-2-2-2-2-2-2-2-22222-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-222-22-2-221-1-11-111-1-2-2-222-22-2-2211-1-1-1-111-1-11111-1-122-211-1-1-110000000000000000
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χ1498-8000-4−4i34i34-2-20025−2525−25221−i151+i151−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i15−1+i15−1−i153-20000-32−55005-5005−525−25−3+i15211−3−i152000000003−i152-1-13+i152−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58i3−i3i3−i3−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ582ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−5−i1525+i152−i15i15i15−i15−5+i1525−i152−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−55−552ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ580000000000000000000000000000000000000000000000000000000000000000000
χ1508-8000-4−4i34i34-2-20025−2525−25221−i151+i151−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i15−1+i15−1−i153-20000-32−5500-5500−55−2525−3+i15211−3−i152000000003−i152-1-13+i152−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58i3−i3i3−i3−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ582ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ585+i152−5−i152i15−i15−i15i155−i152−5+i1523ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ585−55−5−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ580000000000000000000000000000000000000000000000000000000000000000000
χ1518-8000-44i3−4i348-20000−2525-82-4-41−i151+i154i3−4i34i3−4i3−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ4644−1+i15−1−i15-2-2000022−2525−2525000000001−i151−i151+i151+i1500000000−1+i15−1+i15−1−i15−1−i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-8000-44i3−4i348-2000025−25-82-4-41+i151−i154i3−4i34i3−4i3−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ5844−1−i15−1+i15-2-200002225−2525−25000000001+i151+i151−i151−i1500000000−1−i15−1−i15−1+i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-8000-44i3−4i34-2800−2525002-81−i151+i15-4-4−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ464i3−4i34i3−4i3−1+i15−1−i1544-2-2000022−252525−25000000001−i151+i151−i151+i1500000000−1+i15−1−i15−1+i15−1−i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-8000-44i3−4i34-280025−25002-81+i151−i15-4-4−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ584i3−4i34i3−4i3−1−i15−1+i1544-2-200002225−25−2525000000001+i151−i151+i151−i1500000000−1−i15−1+i15−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-8000-44i3−4i34-2-200−2525−2525221−i151+i151−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i15−1+i15−1−i153-20000-325−5005-500−55−2525−3+i15211−3−i152000000003−i152-1-13+i152ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58−i3i3−i3i32ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58−5−i1525+i152−i15i15i15−i15−5+i1525−i1523ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ585−55−5−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ580000000000000000000000000000000000000000000000000000000000000000000
χ1568-8000-44i3−4i34-2-200−2525−2525221−i151+i151−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i15−1+i15−1−i153-20000-325−500-55005−525−25−3+i15211−3−i152000000003−i152-1-13+i152ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58−i3i3−i3i32ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ585+i152−5−i152i15−i15−i15i155−i152−5+i152−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−55−552ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ580000000000000000000000000000000000000000000000000000000000000000000
χ1578-8000-44i3−4i34-2-200−252525−25221−i151+i151+i151−i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1+i15−1−i15−1−i15−1+i15-2300002-300−55005-5−25255−51−3−i152−3+i152100000000-13+i1523−i152-1−i3i32ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58−i3i3−i15i15−5+i1525−i152−5−i1525+i152i15−i155−52ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ585−50000000000000000000000000000000000000000000000000000000000000000000
χ1588-8000-44i3−4i34-2-200−252525−25221−i151+i151+i151−i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1+i15−1−i15−1−i15−1+i15-2300002-300−5500-5525−25−551−3−i152−3+i152100000000-13+i1523−i152-1−i3i32ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58−i3i3i15−i155−i152−5+i1525+i152−5−i152−i15i15−55−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ58−550000000000000000000000000000000000000000000000000000000000000000000
χ1598-8000-44i3−4i34-2-20025−25−2525221+i151−i151−i151+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1−i15−1+i15−1+i15−1−i15-2300002-3005−5005-525−25−551−3+i152−3−i152100000000-13−i1523+i152-1−i3i3ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58−i3i3i15−i15−5−i1525+i152−5+i1525−i152−i15i15−553ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−550000000000000000000000000000000000000000000000000000000000000000000
χ1608-8000-44i3−4i34-2-20025−25−2525221+i151−i151−i151+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1−i15−1+i15−1+i15−1−i15-2300002-3005−500-55−25255−51−3+i152−3−i152100000000-13−i1523+i152-1−i3i3ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ582ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58−i3i3−i15i155+i152−5−i1525−i152−5+i152i15−i155−5−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ585−50000000000000000000000000000000000000000000000000000000000000000000
χ1618-8000-44i3−4i34-2-20025−2525−25221+i151−i151+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i15−1−i15−1+i153-20000-32−55005-5005−525−25−3−i15211−3+i152000000003+i152-1-13−i1522ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58−i3i3−i3i3ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ58−5+i1525−i152i15−i15−i15i15−5−i1525+i1522ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ58−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ58−55−55−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ583ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ580000000000000000000000000000000000000000000000000000000000000000000
χ1628-8000-44i3−4i34-2-20025−2525−25221+i151−i151+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i15−1−i15−1+i153-20000-32−5500-5500−55−2525−3−i15211−3+i152000000003+i152-1-13−i1522ζ2+ζ14−ζ22+ζ26−2ζ34+2ζ38−2ζ46−ζ58−2ζ2−ζ14+ζ22−ζ26+2ζ34−2ζ38+2ζ46+ζ58−i3i3−i3i3ζ2+2ζ14−2ζ22+2ζ26−ζ34+ζ38−ζ46−2ζ58−ζ2−2ζ14+2ζ22−2ζ26+ζ34−ζ38+ζ46+2ζ585−i152−5+i152−i15i15i15−i155+i152−5−i152−2ζ2−3ζ14+3ζ22−3ζ26+2ζ34−2ζ38+2ζ46+3ζ582ζ2+3ζ14−3ζ22+3ζ26−2ζ34+2ζ38−2ζ46−3ζ585−55−53ζ2+2ζ14−2ζ22+2ζ26−3ζ34+3ζ38−3ζ46−2ζ58−3ζ2−2ζ14+2ζ22−2ζ26+3ζ34−3ζ38+3ζ46+2ζ580000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.