Finite Group Databasebeta

← Group #13089433

Character table — Group #13089433

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444418181818303030303030303036363636363636366060606060606060
order12222335566666610101010101036666666666610101010151515151515151530303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030302244222244441010101020202020666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111-1-1111111-1-111-1-1-1-11111-1-1-1111-1-1-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-11-111-1-111-1-1111-1-1-11-1
χ6111-1-1111111-1-111-1-1-1-11111-1-1-1111-1-1-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111-1111-1-111-1-1-1-1-1111-11
χ7111-1-1111111-1-111-1-1-1-11111-1-1-1111-1-1-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-1-1-11-1-111-1-11111-11-1-1-11
χ8111-1-1111111-1-111-1-1-1-11111-1-1-1111-1-1-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11-1111-1-1-111-1-111-1-11-1111-1
χ911-11-11111-1-11111-1-1-1-1111-11-1-11-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-111-1-1-1-1111-1111-1-1-1
χ1011-11-11111-1-11111-1-1-1-1111-11-1-11-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-1-111111-1-1-1-111-11-1-1-1111
χ1111-11-11111-1-11111-1-1-1-1111-11-1-11-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-11-111-1-11111-1-11-1-1-11-111
χ1211-11-11111-1-11111-1-1-1-1111-11-1-11-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1-1-1-11111-1-1-1111-11-1-1
χ1311-1-111111-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-11-1-11-111111-1-1-1-11-11-1-11-11
χ1411-1-111111-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-11-111-11-11111-1-1-1-1-11-111-11-1
χ1511-1-111111-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111-1-11-111-1-1-1-1-111111-1-11-111-1
χ1611-1-111111-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-111-11-1-11-1-1-1-11111-111-11-1-11
χ172222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ182222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-2000000001−521+521−521+521−521+521−521+5200000000
χ192222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52222200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ202222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-2000000001+521−521+521−521+521−521+521−5200000000
χ21222222-12222-1-12-1222222-1-122-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000002200220000000000-1-100-1-1
χ22222222-12222-1-12-1222222-1-122-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-20000000000110011
χ2322222-1222-1-122-12222222-12-1-12-1-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002200220000000000-1-100-1-100
χ2422222-1222-1-122-12222222-12-1-12-1-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-200-2-2000000000011001100
χ25222-2-222−1+52−1−5222-2-2221−521−521+521+52−1+52−1−5222-2-2-2222-2-2-2-2−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-22-200000000−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ26222-2-222−1+52−1−5222-2-2221−521−521+521+52−1+52−1−5222-2-2-2222-2-2-2-2−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-22-22000000001−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ27222-2-222−1−52−1+5222-2-2221+521+521−521−52−1−52−1+5222-2-2-2222-2-2-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-22-200000000−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ28222-2-222−1−52−1+5222-2-2221+521+521−521−52−1−52−1+5222-2-2-2222-2-2-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-22-22000000001+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ29222-2-22-12222112-1-2-2-2-222-1-1-2-21-1-1-1111122-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-21111110000002-2002-20000000000-1100-11
χ30222-2-22-12222112-1-2-2-2-222-1-1-2-21-1-1-1111122-2-22-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111000000-2200-2200000000001-1001-1
χ31222-2-2-1222-1-1-2-2-12-2-2-2-222-1211-2-1-1-1111122-2-2-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-2111100002200-2-20000000000-1-1001100
χ32222-2-2-1222-1-1-2-2-12-2-2-2-222-1211-2-1-1-1111122-2-2-12-1-1-12-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111111-2-2111111-2-211110000-2-2002200000000001100-1-100
χ3322-22-222−1+52−1−52-2-222221−521−521+521+52−1+52−1−522-22-2-22-2-222-2-21−521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+522-2-2200000000−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ3422-22-222−1+52−1−52-2-222221−521−521+521+52−1+52−1−522-22-2-22-2-222-2-21−521+52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-222-2000000001−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ3522-22-222−1−52−1+52-2-222221+521+521−521−52−1−52−1+522-22-2-22-2-222-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522-2-2200000000−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ3622-22-222−1−52−1+52-2-222221+521+521−521−52−1−52−1+522-22-2-22-2-222-2-21+521−52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-222-2000000001+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ3722-22-22-122-2-2-1-12-1-2-2-2-222-112-21-111-1-111-2-2222-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000002200-2-20000000000-1-10011
χ3822-22-22-122-2-2-1-12-1-2-2-2-222-112-21-111-1-111-2-2222-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000-2-2002200000000001100-1-1
χ3922-22-2-12221122-12-2-2-2-222-1-2-11-2-111-1-111-2-222-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100002-2002-20000000000-1100-1100
χ4022-22-2-12221122-12-2-2-2-222-1-2-11-2-111-1-111-2-222-12-1-1-12-1-1-12-1-1-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000-2200-2200000000001-1001-100
χ4122-2-2222−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−522-2-2222-2-2-2-2221−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222-2-200000000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ4222-2-2222−1+52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1−522-2-2222-2-2-2-2221−521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-222000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000
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χ4622-2-222-122-2-2112-1222222-11-22-1-11111-1-1-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000-22002-200000000001-100-11
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χ59444-4-44-2−1−5−1+544224-21+51+51−51−5−1−5−1+5-2-2-4-42-2-2-22222−1−5−1+51+51−5−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−5−1−51+521+521+521+521+521+52−1+5−1+51−521−521−521−521−521−521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+521+51+5−1−52−1−52−1−52−1−52−1−52−1−521−51−5−1+52−1+52−1+52−1+52−1+52−1+520000000000000000000000000000
χ60444-4-4-24−1+5−1−5-2-2-4-4-241−51−51+51+5−1+5−1−5-2422-4-2-2-22222−1+5−1−51−51+51−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−521−52−1+5−1+51−521−521−521−521+521+52−1−5−1−51+521+521+521+52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−52−1+52−1+521−51−5−1+52−1+52−1+52−1+52−1−52−1−521+51+5−1−52−1−52−1−52−1−520000000000000000000000000000
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χ1234-4000-2-2−1−5−1+52i3−2i32i3−2i3222ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ131+51−510000-1−i3i3−i3i33-300001+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ11−ζ+ζ11−ζ4+ζ14ζ4−ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7ζ2−ζ7ζ8−ζ13−ζ8+ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ−ζ11−ζ+ζ11ζ4−ζ14−ζ4+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7ζ2−ζ7−ζ8+ζ13ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ−2ζ4−ζ11−2ζ14ζ+2ζ4+ζ11+2ζ142ζ+ζ4+2ζ11+ζ14−2ζ−ζ4−2ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7−2ζ8−2ζ13ζ2+ζ7+2ζ8+2ζ132ζ2+2ζ7+ζ8+ζ13−2ζ2−2ζ7−ζ8−ζ130000000000000000000000000000
χ1244-4000-2-2−1−5−1+52i3−2i3−2i32i322−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ131+51−510000-1−i3i3i3−i3-3300001+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ−ζ11−ζ+ζ11−ζ4+ζ14ζ4−ζ14ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7ζ2−ζ7ζ8−ζ13−ζ8+ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ+ζ11ζ−ζ11−ζ4+ζ14ζ4−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7−ζ2+ζ7ζ8−ζ13−ζ8+ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ+2ζ4+ζ11+2ζ14−ζ−2ζ4−ζ11−2ζ14−2ζ−ζ4−2ζ11−ζ142ζ+ζ4+2ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7+2ζ8+2ζ13−ζ2−ζ7−2ζ8−2ζ13−2ζ2−2ζ7−ζ8−ζ132ζ2+2ζ7+ζ8+ζ130000000000000000000000000000
χ1254-4000-2-2−1−5−1+52i3−2i3−2i32i3222ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ131+51−510000-1−i3i3i3−i3-3300001+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ4−ζ14−ζ4+ζ14−ζ+ζ11ζ−ζ11ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ8+ζ13ζ8−ζ13ζ2−ζ7−ζ2+ζ7−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ4+ζ14ζ4−ζ14−ζ+ζ11ζ−ζ11ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ8−ζ13−ζ8+ζ13ζ2−ζ7−ζ2+ζ7−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ142ζ+ζ4+2ζ11+ζ14−2ζ−ζ4−2ζ11−ζ14−ζ−2ζ4−ζ11−2ζ14ζ+2ζ4+ζ11+2ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ132ζ2+2ζ7+ζ8+ζ13−2ζ2−2ζ7−ζ8−ζ13−ζ2−ζ7−2ζ8−2ζ13ζ2+ζ7+2ζ8+2ζ130000000000000000000000000000
χ1264-4000-2-2−1−5−1+5−2i32i32i3−2i322−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ131+51−510000-1i3−i3−i3i3-3300001+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ11ζ−ζ11ζ4−ζ14−ζ4+ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ2+ζ7−ζ8+ζ13ζ8−ζ13−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ−ζ11−ζ+ζ11ζ4−ζ14−ζ4+ζ14ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ2+ζ7ζ2−ζ7−ζ8+ζ13ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ+2ζ4+ζ11+2ζ14−ζ−2ζ4−ζ11−2ζ14−2ζ−ζ4−2ζ11−ζ142ζ+ζ4+2ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7+2ζ8+2ζ13−ζ2−ζ7−2ζ8−2ζ13−2ζ2−2ζ7−ζ8−ζ132ζ2+2ζ7+ζ8+ζ130000000000000000000000000000
χ1274-4000-2-2−1−5−1+5−2i32i32i3−2i3222ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ131+51−510000-1i3−i3−i3i3-3300001+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ4+ζ14ζ4−ζ14ζ−ζ11−ζ+ζ11−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ8−ζ13−ζ8+ζ13−ζ2+ζ7ζ2−ζ7ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ4−ζ14−ζ4+ζ14ζ−ζ11−ζ+ζ11−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13−ζ8+ζ13ζ8−ζ13−ζ2+ζ7ζ2−ζ7−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ142ζ+ζ4+2ζ11+ζ14−2ζ−ζ4−2ζ11−ζ14−ζ−2ζ4−ζ11−2ζ14ζ+2ζ4+ζ11+2ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ132ζ2+2ζ7+ζ8+ζ13−2ζ2−2ζ7−ζ8−ζ13−ζ2−ζ7−2ζ8−2ζ13ζ2+ζ7+2ζ8+2ζ130000000000000000000000000000
χ1284-4000-2-2−1−5−1+5−2i32i3−2i32i322−2ζ+2ζ4−2ζ11+2ζ142ζ−2ζ4+2ζ11−2ζ14−2ζ2−2ζ7+2ζ8+2ζ132ζ2+2ζ7−2ζ8−2ζ131+51−510000-1i3−i3i3−i33-300001+521+52−2ζ+ζ4−2ζ11+ζ14ζ−2ζ4+ζ11−2ζ141−521−52−2ζ2−2ζ7+ζ8+ζ13ζ2+ζ7−2ζ8−2ζ13−1−52−1−522ζ−ζ4+2ζ11−ζ14−ζ+2ζ4−ζ11+2ζ14−1+52−1+522ζ2+2ζ7−ζ8−ζ13−ζ2−ζ7+2ζ8+2ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14−ζ4+ζ14ζ4−ζ14ζ−ζ11−ζ+ζ11−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13ζ8−ζ13−ζ8+ζ13−ζ2+ζ7ζ2−ζ7−ζ+ζ4+ζ11−ζ14ζ−ζ4−ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ4+ζ14ζ4−ζ14−ζ+ζ11ζ−ζ11ζ2−ζ7−ζ8+ζ13−ζ2+ζ7+ζ8−ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ8−ζ13−ζ8+ζ13ζ2−ζ7−ζ2+ζ7ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−2ζ−ζ4−2ζ11−ζ142ζ+ζ4+2ζ11+ζ14ζ+2ζ4+ζ11+2ζ14−ζ−2ζ4−ζ11−2ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−2ζ2−2ζ7−ζ8−ζ132ζ2+2ζ7+ζ8+ζ13ζ2+ζ7+2ζ8+2ζ13−ζ2−ζ7−2ζ8−2ζ130000000000000000000000000000
χ1294-4000-2-2−1−5−1+5−2i32i3−2i32i3222ζ−2ζ4+2ζ11−2ζ14−2ζ+2ζ4−2ζ11+2ζ142ζ2+2ζ7−2ζ8−2ζ13−2ζ2−2ζ7+2ζ8+2ζ131+51−510000-1i3−i3i3−i33-300001+521+52ζ−2ζ4+ζ11−2ζ14−2ζ+ζ4−2ζ11+ζ141−521−52ζ2+ζ7−2ζ8−2ζ13−2ζ2−2ζ7+ζ8+ζ13−1−52−1−52−ζ+2ζ4−ζ11+2ζ142ζ−ζ4+2ζ11−ζ14−1+52−1+52−ζ2−ζ7+2ζ8+2ζ132ζ2+2ζ7−ζ8−ζ13ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14−ζ+ζ11ζ−ζ11ζ4−ζ14−ζ4+ζ14−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13ζ2−ζ7−ζ2+ζ7−ζ8+ζ13ζ8−ζ13ζ−ζ4−ζ11+ζ14−ζ+ζ4+ζ11−ζ14ζ+ζ4−ζ11−ζ14−ζ−ζ4+ζ11+ζ14−ζ+ζ11ζ−ζ11−ζ4+ζ14ζ4−ζ14−ζ2+ζ7+ζ8−ζ13ζ2−ζ7−ζ8+ζ13−ζ2+ζ7−ζ8+ζ13ζ2−ζ7+ζ8−ζ13ζ2−ζ7−ζ2+ζ7ζ8−ζ13−ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ−2ζ4−ζ11−2ζ14ζ+2ζ4+ζ11+2ζ142ζ+ζ4+2ζ11+ζ14−2ζ−ζ4−2ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ2−ζ7−2ζ8−2ζ13ζ2+ζ7+2ζ8+2ζ132ζ2+2ζ7+ζ8+ζ13−2ζ2−2ζ7−ζ8−ζ130000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.