Finite Group Databasebeta

← Group #13089277

Character table — Group #13089277

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112222222222222224444444444444444444444444444444444888888888888888888888888101010101010101010101010181818181818181820202020202020202020202036363636363690909090
order122233334556666101066666666101010101212121215151515151515152020303030303030303030303030303030303030303030303030606060606060606024441212121212121212244420202020666612121212121212121010202020202444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111-11111-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-111-1
χ6111-11111-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11
χ7111-11111-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11
χ8111-11111-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-111-1
χ911-111111-111111111-1-1-1-11111-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-1111111-1-111-11-11
χ1011-111111-111111111-1-1-1-11111-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-11111-1-111-1-11-11-1
χ1111-111111-111111111-1-1-1-11111-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1
χ1211-111111-111111111-1-1-1-11111-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111111-11-111111-1-1-1-11111-1-1-1-1-1-111-1-1-11-11
χ1311-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111111111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ1411-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1511-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-11111111111-1-1-1-1-1-111
χ1611-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1
χ17222222222−1−52−1+522222−1−52−1+5222222222−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000002222−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+520000
χ18222222222−1−52−1+522222−1−52−1+5222222222−1−52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-2-2-2-21+521+521−521−520000000000001+521−521+521−521+521−520000
χ19222222222−1+52−1−522222−1+52−1−5222222222−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000002222−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−520000
χ20222222222−1+52−1−522222−1+52−1−5222222222−1+52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-2-2-2-21−521−521+521+520000000000001−521+521−521+521−521+520000
χ2122222-1-1-12222-1-1-1222-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-1000000002-1-1-12-1-1-12-1-1-10000000000
χ2222222-1-1-12222-1-1-1222-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2-2-211111100000000-2111-2111-21110000000000
χ232222-12-1-1222-12-1-122-12-1-1-12-1-12222-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-12222-1-122-1-1-1-100000000-12-1-1-12-1-1-12-1-10000000000
χ242222-12-1-1222-12-1-122-12-1-1-12-1-12222-12-1-1-12-1-1-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-2-2-2-211-2-21111000000001-2111-2111-2110000000000
χ252222-1-12-1222-1-12-122-1-12-1-1-12-12222-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-12222-1-1-1-122-1-100000000-1-12-1-1-12-1-1-12-10000000000
χ262222-1-12-1222-1-12-122-1-12-1-1-12-12222-1-12-1-1-12-1-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-2-2-2-21111-2-2110000000011-2111-2111-210000000000
χ272222-1-1-12222-1-1-1222-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122222-1-1-1-1-1-12200000000-1-1-12-1-1-12-1-1-120000000000
χ282222-1-1-12222-1-1-1222-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-2-2-2-2111111-2-200000000111-2111-2111-20000000000
χ29222-22222-2−1−52−1+522222−1−52−1+522222-2-2-2-2−1−52−1+521+521−52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000022-2-21+521+521−521−52000000000000−1−52−1+52−1−52−1+521+521−520000
χ30222-22222-2−1−52−1+522222−1−52−1+522222-2-2-2-2−1−52−1+521+521−52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000-2-222−1−52−1−52−1+52−1+520000000000001+521−521+521−52−1−52−1+520000
χ31222-22222-2−1+52−1−522222−1+52−1−522222-2-2-2-2−1+52−1−521−521+52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000022-2-21−521−521+521+52000000000000−1+52−1−52−1+52−1−521−521+520000
χ32222-22222-2−1+52−1−522222−1+52−1−522222-2-2-2-2−1+52−1−521−521+52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000-2-222−1+52−1+52−1−52−1−520000000000001−521+521−521+52−1+52−1−520000
χ33222-22-1-1-1-2222-1-1-1222-1-1-1-211122-2-2-21112-1-1-12-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-211122-2-2-2-2111111000000002-1-1-12-1-1-1-21110000000000
χ34222-22-1-1-1-2222-1-1-1222-1-1-1-211122-2-2-21112-1-1-12-1-1-1-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-2111-2-22222-1-1-1-1-1-100000000-2111-21112-1-1-10000000000
χ35222-2-12-1-1-222-12-1-122-12-1-11-21122-2-21-211-12-1-1-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-21122-2-211-2-2111100000000-12-1-1-12-1-11-2110000000000
χ36222-2-12-1-1-222-12-1-122-12-1-11-21122-2-21-211-12-1-1-12-1-1-2-2-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-211-2-222-1-122-1-1-1-1000000001-2111-211-12-1-10000000000
χ37222-2-1-12-1-222-1-12-122-1-12-111-2122-2-211-21-1-12-1-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-111-2111-2111-2111-2122-2-21111-2-21100000000-1-12-1-1-12-111-210000000000
χ38222-2-1-12-1-222-1-12-122-1-12-111-2122-2-211-21-1-12-1-1-12-1-2-2-1-12-1-1-12-1-1-12-1-1-12-111-2111-2111-2111-21-2-222-1-1-1-122-1-10000000011-2111-21-1-12-10000000000
χ39222-2-1-1-12-222-1-1-1222-1-1-12111-222-2-2111-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-222-2-2111111-2-200000000-1-1-12-1-1-12111-20000000000
χ40222-2-1-1-12-222-1-1-1222-1-1-12111-222-2-2111-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-2-2-222-1-1-1-1-1-12200000000111-2111-2-1-1-120000000000
χ4122-222222-2−1−52−1+522222−1−52−1+52-2-2-2-222221+521−52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000002-22-21+521+521−521−52000000000000−1−52−1+521+521−52−1−52−1+520000
χ4222-222222-2−1−52−1+522222−1−52−1+52-2-2-2-222221+521−52−1−52−1+52-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000-22-22−1−52−1−52−1+52−1+520000000000001+521−52−1−52−1+521+521−520000
χ4322-222222-2−1+52−1−522222−1+52−1−52-2-2-2-222221−521+52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000000000002-22-21−521−521+521+52000000000000−1+52−1−521−521+52−1+52−1−520000
χ4422-222222-2−1+52−1−522222−1+52−1−52-2-2-2-222221−521+52−1+52−1−52-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000-22-22−1+52−1+52−1−52−1−520000000000001−521+52−1+52−1−521−521+520000
χ4522-222-1-1-1-2222-1-1-122-21112-1-1-1-2-222-21112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2111-21112-1-1-12-1-1-1-2111-21112-22-2-2-2111111000000002-1-1-1-21112-1-1-10000000000
χ4622-222-1-1-1-2222-1-1-122-21112-1-1-1-2-222-21112-1-1-12-1-1-1-2-22-1-1-12-1-1-1-2111-21112-1-1-12-1-1-1-2111-2111-22-2222-1-1-1-1-1-100000000-21112-1-1-1-21110000000000
χ4722-22-12-1-1-222-12-1-1221-211-12-1-1-2-2221-211-12-1-1-12-1-1-2-2-12-1-1-12-1-11-2111-211-12-1-1-12-1-11-2111-2112-22-211-2-2111100000000-12-1-11-211-12-1-10000000000
χ4822-22-12-1-1-222-12-1-1221-211-12-1-1-2-2221-211-12-1-1-12-1-1-2-2-12-1-1-12-1-11-2111-211-12-1-1-12-1-11-2111-211-22-22-1-122-1-1-1-1000000001-211-12-1-11-2110000000000
χ4922-22-1-12-1-222-1-12-12211-21-1-12-1-2-22211-21-1-12-1-1-12-1-2-2-1-12-1-1-12-111-2111-21-1-12-1-1-12-111-2111-212-22-21111-2-21100000000-1-12-111-21-1-12-10000000000
χ5022-22-1-12-1-222-1-12-12211-21-1-12-1-2-22211-21-1-12-1-1-12-1-2-2-1-12-1-1-12-111-2111-21-1-12-1-1-12-111-2111-21-22-22-1-1-1-122-1-10000000011-21-1-12-111-210000000000
χ5122-22-1-1-12-222-1-1-1222111-2-1-1-12-2-222111-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111-2111-2-1-1-12-1-1-12111-2111-22-22-2111111-2-200000000-1-1-12111-2-1-1-120000000000
χ5222-22-1-1-12-222-1-1-1222111-2-1-1-12-2-222111-2-1-1-12-1-1-12-2-2-1-1-12-1-1-12111-2111-2-1-1-12-1-1-12111-2111-2-22-22-1-1-1-1-1-12200000000111-2-1-1-12111-20000000000
χ5322-2-222222−1−52−1+522222−1−52−1+52-2-2-2-2-2-2-2-21+521−521+521−522222−1−52−1−52−1−52−1−52−1+52−1+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+520000000000002-2-22−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−521+521−520000
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χ984-40044440−1−5−1+5-4-4-4-41+51−50000000000000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−50000000000000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000
χ994-40044440−1−5−1+5-4-4-4-41+51−50000000000000000−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5001+51+51+51+51−51−51−51−500000000000000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000
χ1004-40044440−1+5−1−5-4-4-4-41−51+50000000000000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+500000000000000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000
χ1014-40044440−1+5−1−5-4-4-4-41−51+50000000000000000−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5001−51−51−51−51+51+51+51+50000000000000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000
χ1024-4004-2-2-2044-4222-4-400000000000000004-2-2-24-2-2-200-4222-422200000000000000000000000000000023−2323−2323−23000000000000000000000000000000
χ1034-4004-2-2-2044-4222-4-400000000000000004-2-2-24-2-2-200-4222-4222000000000000000000000000000000−2323−2323−2323000000000000000000000000000000
χ1044-400-24-2-20442-422-4-40000000000000000-24-2-2-24-2-2002-4222-422000000000000000000000000000023−230023−23−2323000000000000000000000000000000
χ1054-400-24-2-20442-422-4-40000000000000000-24-2-2-24-2-2002-4222-4220000000000000000000000000000−232300−232323−23000000000000000000000000000000
χ1064-400-2-24-204422-42-4-40000000000000000-2-24-2-2-24-20022-4222-42000000000000000000000000000023−23−23230023−23000000000000000000000000000000
χ1074-400-2-24-204422-42-4-40000000000000000-2-24-2-2-24-20022-4222-420000000000000000000000000000−232323−2300−2323000000000000000000000000000000
χ1084-400-2-2-24044222-4-4-40000000000000000-2-2-24-2-2-2400222-4222-4000000000000000000000000000023−2323−23−232300000000000000000000000000000000
χ1094-400-2-2-24044222-4-4-40000000000000000-2-2-24-2-2-2400222-4222-40000000000000000000000000000−2323−232323−2300000000000000000000000000000000
χ1108-8008-4-4-40−2−25−2+25-84442+252−250000000000000000−2−251+51+51+5−2+251−51−51−5002+25−1−5−1−5−1−52−25−1+5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000
χ1118-8008-4-4-40−2+25−2−25-84442−252+250000000000000000−2+251−51−51−5−2−251+51+51+5002−25−1+5−1+5−1+52+25−1−5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000
χ1128-800-48-4-40−2−25−2+254-8442+252−2500000000000000001+5−2−251+51+51−5−2+251−51−500−1−52+25−1−5−1−5−1+52−25−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000
χ1138-800-48-4-40−2+25−2−254-8442−252+2500000000000000001−5−2+251−51−51+5−2−251+51+500−1+52−25−1+5−1+5−1−52+25−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000
χ1148-800-4-48-40−2−25−2+2544-842+252−2500000000000000001+51+5−2−251+51−51−5−2+251−500−1−5−1−52+25−1−5−1+5−1+52−25−1+5000000000000000000000000000000000000000000000000000000000000000000
χ1158-800-4-48-40−2+25−2−2544-842−252+2500000000000000001−51−5−2+251−51+51+5−2−251+500−1+5−1+52−25−1+5−1−5−1−52+25−1−5000000000000000000000000000000000000000000000000000000000000000000
χ1168-800-4-4-480−2−25−2+25444-82+252−2500000000000000001+51+51+5−2−251−51−51−5−2+2500−1−5−1−5−1−52+25−1+5−1+5−1+52−25000000000000000000000000000000000000000000000000000000000000000000
χ1178-800-4-4-480−2+25−2−25444-82−252+2500000000000000001−51−51−5−2+251+51+51+5−2−2500−1+5−1+5−1+52−25−1−5−1−5−1−52+25000000000000000000000000000000000000000000000000000000000000000000

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