Finite Group Databasebeta

← Group #72260152

Character table — Group #72260152

Order 2400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size112222222222244444444444444444444466888888888888888888888888101010101212121212121212202020202020202020202020242424242424242430303030303030303030303040404040404040405050505060606060100150150
order123455556101010105555101010101215151515202020203030303022151515152020202030303030606060606060606060606060224410101010101010106610101010121220202020101010101010101022441010101020202020303030306060606024121210102020622
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1111111111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-111111111111111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ51111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1
χ61111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111
χ71111111111111111111111111111111111-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111
χ81111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111-1-1
χ9111-111111111111111111-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-111-1-11-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-111111-1-1-11-1
χ10111-111111111111111111-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11-111-1-1-11-1-1111111-1-1-1-11-1-111111111111-1-1-1-1111-1-1-1-1-1-1-11-11
χ11111-111111111111111111-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-11-1-1111-111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111111-11
χ12111-111111111111111111-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-11-1-111-11-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1111-1-111-11-1
χ13111-111111111111111111-11111-1-1-1-11111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1111-111-1-11-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1-1111-1-111-1-11
χ14111-111111111111111111-11111-1-1-1-11111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1111-111-1-1-11-1-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1111111-1
χ15111-111111111111111111-11111-1-1-1-11111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-11-1-1111-111-1-1-1-1-1-111111-1-1111111111-1-11111-1-11-1-1-1-1-1-1-111-1
χ16111-111111111111111111-11111-1-1-1-11111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-1-111-11-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-111111-1-1-1-11
χ17222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222002222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522020−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+520000000000−1−52−1+52000
χ18222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2002222−1−52−1+52−1−52−1+52-2-21+521−521+521−52000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-20-201+521+521−521−5200001+521−521+521−5200000000001+521−52000
χ19222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522200-2-2-2-21+521−521+521−5222−1−52−1+52−1−52−1+520000001+521+521−521−521+521+521−521−52-20-201+521+521−521−520000−1−52−1+52−1−52−1+5200000000001+521−52000
χ20222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1+5222−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-200-2-2-2-21+521−521+521−52-2-21+521−521+521−520000001+521+521−521−521+521+521−521−522020−1−52−1−52−1+52−1+5200001+521−521+521−520000000000−1−52−1+52000
χ21222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−5222−1+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+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222002222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522020−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−520000000000−1+52−1−52000
χ22222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−5222−1+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+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2002222−1+52−1−52−1+52−1−52-2-21−521+521−521+52000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-20-201−521−521+521+5200001−521+521−521+5200000000001−521+52000
χ23222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522200-2-2-2-21−521+521−521+5222−1+52−1−52−1+52−1−520000001−521−521+521+521−521−521+521+52-20-201−521−521+521+520000−1+52−1−52−1+52−1−5200000000001−521+52000
χ24222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1−5222−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-200-2-2-2-21−521+521−521+52-2-21−521+521−521+520000001−521−521+521+521−521−521+521+522020−1+52−1+52−1−52−1−5200001−521+521−521+520000000000−1+52−1−52000
χ252222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520022−1−52−1+52−1−52−1+52222200000022−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5202020000−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+520000−1−52−1+5200000
χ262222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2−1−52−1+52−1−52−1+522222000000-2-21+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520-20-200001+521+521−521−5200001+521−521+521−5200001+521−5200000
χ272222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200221+521−521+521−52-2-2-2-200000022−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520-20-200001+521+521−521−520000−1−52−1+52−1−52−1+5200001+521−5200000
χ282222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1+522222−1−52−1+5222−1−52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-21+521−521+521−52-2-2-2-2000000-2-21+521−521+521−521+521−521+521−521+521−521+521−5202020000−1−52−1−52−1+52−1+5200001+521−521+521−520000−1−52−1+5200000
χ292222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520022−1+52−1−52−1+52−1−52222200000022−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5202020000−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−520000−1+52−1−5200000
χ302222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2−1+52−1−52−1+52−1−522222000000-2-21−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-20-200001−521−521+521+5200001−521+521−521+5200001−521+5200000
χ312222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200221−521+521−521+52-2-2-2-200000022−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520-20-200001−521−521+521+520000−1+52−1−52−1+52−1−5200001−521+5200000
χ322222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1−522222−1+52−1−5222−1+52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-21−521+521−521+52-2-2-2-2000000-2-21−521+521−521+521−521+521−521+521−521+521−521+5202020000−1+52−1+52−1−52−1−5200001−521+521−521+520000−1+52−1−5200000
χ33222-222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222−1−52−1+521+521−52-2-2−1−52−1+52222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52-2-21+521+521+521+521−521−521−521−522-20022-2-2−1−52−1+521+521−522-2−1−52−1+521+521−52000000−1−52−1−52−1+52−1+521+521+521−521−5220-20−1−52−1−52−1+52−1+520000−1−52−1+521+521−5200000000001+521−52000
χ34222-222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222−1−52−1+521+521−52-2-2−1−52−1+52222-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52-2-21+521+521+521+521−521−521−521−52-220022-2-2−1−52−1+521+521−52-221+521−52−1−52−1+52000000−1−52−1−52−1+52−1+521+521+521−521−52-20201+521+521−521−5200001+521−52−1−52−1+520000000000−1−52−1+52000
χ35222-222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222−1−52−1+521+521−52-2-2−1−52−1+5222-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52-2-21+521+521+521+521−521−521−521−522-200-2-2221+521−52−1−52−1+522-2−1−52−1+521+521−520000001+521+521−521−52−1−52−1−52−1+52−1+52-20201+521+521−521−520000−1−52−1+521+521−520000000000−1−52−1+52000
χ36222-222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222−1−52−1+521+521−52-2-2−1−52−1+5222-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521−52-2-21+521+521+521+521−521−521−521−52-2200-2-2221+521−52−1−52−1+52-221+521−52−1−52−1+520000001+521+521−521−52−1−52−1−52−1+52−1+5220-20−1−52−1−52−1+52−1+5200001+521−52−1−52−1+5200000000001+521−52000
χ37222-222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222−1+52−1−521−521+52-2-2−1+52−1−52222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52-2-21−521−521−521−521+521+521+521+522-20022-2-2−1+52−1−521−521+522-2−1+52−1−521−521+52000000−1+52−1+52−1−52−1−521−521−521+521+5220-20−1+52−1+52−1−52−1−520000−1+52−1−521−521+5200000000001−521+52000
χ38222-222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222−1+52−1−521−521+52-2-2−1+52−1−52222-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52-2-21−521−521−521−521+521+521+521+52-220022-2-2−1+52−1−521−521+52-221−521+52−1+52−1−52000000−1+52−1+52−1−52−1−521−521−521+521+52-20201−521−521+521+5200001−521+52−1+52−1−520000000000−1+52−1−52000
χ39222-222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222−1+52−1−521−521+52-2-2−1+52−1−5222-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521+52-2-21−521−521−521−521+521+521+521+522-200-2-2221−521+52−1+52−1−522-2−1+52−1−521−521+520000001−521−521+521+52−1+52−1+52−1−52−1−52-20201−521−521+521+520000−1+52−1−521−521+520000000000−1+52−1−52000
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χ8044-24−1+5−1−544-244−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-21−521+52-2-244−1+5−1−5-2-21−521+52001−521+521−521+52−1+5−1−5−1+5−1−51−521+521−521+52-2-21−521+521−521−521+521+521−521−521+521+5200-4-400000000000000221−51+51−51+5000000000000000000000000−1+52−1−52−1+52−1−5200000000000
χ8144-2-444−1−5−1+5-2−1−5−1+544−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+52-2-21+521−521+51−5-4-41+521−52-2-2001+521+521−521−521+51+51−51−51+521+521−521−52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+524-40000000000-22−1−5−1+51+51−5000000000000000000000000001+521−52−1−52−1+52000000000000000
χ8244-2-444−1−5−1+5-2−1−5−1+544−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+52-2-21+521−521+51−5-4-41+521−52-2-2001+521+521−521−521+51+51−51−51+521+521−521−52−1−52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-4400000000002-21+51−5−1−5−1+500000000000000000000000000−1−52−1+521+521−52000000000000000
χ8344-2-444−1+5−1−5-2−1+5−1−544−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−52-2-21−521+521−51+5-4-41−521+52-2-2001−521−521+521+521−51−51+51+51−521−521+521+52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−524-40000000000-22−1+5−1−51−51+5000000000000000000000000001−521+52−1+52−1−52000000000000000
χ8444-2-444−1+5−1−5-2−1+5−1−544−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−52-2-21−521+521−51+5-4-41−521+52-2-2001−521−521+521+521−51−51+51+51−521−521+521+52−1+52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-4400000000002-21−51+5−1+5−1−500000000000000000000000000−1+52−1−521−521+52000000000000000
χ8544-2-4−1−5−1+544-244−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+521+521−52-2-2-4-41+51−5-2-21+521−52001+521−521+521−521+51−51+51−51+521−521+521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52004-400000000000000-22−1−5−1+51+51−50000000000000000000000001+521−52−1−52−1+5200000000000
χ8644-2-4−1−5−1+544-244−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+521+521−52-2-2-4-41+51−5-2-21+521−52001+521−521+521−521+51−51+51−51+521−521+521−5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-44000000000000002-21+51−5−1−5−1+5000000000000000000000000−1−52−1+521+521−5200000000000
χ8744-2-4−1+5−1−544-244−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−521−521+52-2-2-4-41−51+5-2-21−521+52001−521+521−521+521−51+51−51+51−521+521−521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52004-400000000000000-22−1+5−1−51−51+50000000000000000000000001−521+52−1+52−1−5200000000000
χ8844-2-4−1+5−1−544-244−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−521−521+52-2-2-4-41−51+5-2-21−521+52001−521+521−521+521−51+51−51+51−521+521−521+5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-44000000000000002-21−51+5−1+5−1−5000000000000000000000000−1+52−1−521−521+5200000000000
χ894-4404444-4-4-4-4-44444-4-4-4-4044440000-4-4-4-40044440000-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ904-44044−1−5−1+5-41+51−5-4-4−1−5−1−5−1+5−1+51+51+51−51−5044−1−5−1+500001+51−5-4-400−1−5−1−5−1+5−1+500001+51+51−51−5000000000000000000000000000000000000000000000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000
χ914-44044−1−5−1+5-41+51−5-4-4−1−5−1−5−1+5−1+51+51+51−51−5044−1−5−1+500001+51−5-4-400−1−5−1−5−1+5−1+500001+51+51−51−50000000000000000000000000000000000000000000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000
χ924-44044−1+5−1−5-41−51+5-4-4−1+5−1+5−1−5−1−51−51−51+51+5044−1+5−1−500001−51+5-4-400−1+5−1+5−1−5−1−500001−51−51+51+50000000000000000000000000000000000000000000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000
χ934-44044−1+5−1−5-41−51+5-4-4−1+5−1+5−1−5−1−51−51−51+51+5044−1+5−1−500001−51+5-4-400−1+5−1+5−1−5−1−500001−51−51+51+5000000000000000000000000000000000000000000000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000
χ944-440−1−5−1+544-4-4-41+51−5−1−5−1+5−1−5−1+51+51−51+51−50−1−5−1+5440000-4-41+51−500−1−5−1+5−1−5−1+500001+51−51+51−50000000000000000000000000000000000000000000000000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000
χ954-440−1−5−1+544-4-4-41+51−5−1−5−1+5−1−5−1+51+51−51+51−50−1−5−1+5440000-4-41+51−500−1−5−1+5−1−5−1+500001+51−51+51−500000000000000000000000000000000000000000000000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000
χ964-440−1+5−1−544-4-4-41−51+5−1+5−1−5−1+5−1−51−51+51−51+50−1+5−1−5440000-4-41−51+500−1+5−1−5−1+5−1−500001−51+51−51+500000000000000000000000000000000000000000000000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000
χ974-440−1+5−1−544-4-4-41−51+5−1+5−1−5−1+5−1−51−51+51−51+50−1+5−1−5440000-4-41−51+500−1+5−1−5−1+5−1−500001−51+51−51+50000000000000000000000000000000000000000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000
χ984-4-2044442-4-4-4-44444-4-4-4-40-2-2-2-20000222200-2-2-2-20000222200000000000000000000000000000000000000000000000000000000000000000023−230000000
χ994-4-2044442-4-4-4-44444-4-4-4-40-2-2-2-20000222200-2-2-2-200002222000000000000000000000000000000000000000000000000000000000000000000−23230000000
χ10088-48−2−25−2+25−2−25−2+25-4−2−25−2+25−2−25−2+253+5-2-23−53+5-2-23−5-41+51−51+51−5−2−25−2+25−2−25−2+251+51−51+51−500−3−5211−3+523+5-2-23−5−3−5211−3+521+51−51+51−5−3−52−3−521111−3+52−3+52000000000000000000000000000000000000000000000000000000000000000
χ10188-48−2−25−2+25−2+25−2−25-4−2+25−2−25−2−25−2+25-23−53+5-2-23−53+5-2-41+51−51−51+5−2+25−2−25−2−25−2+251−51+51+51−5001−3+52−3−521-23−53+5-21−3+52−3−5211−51+51+51−511−3+52−3+52−3−52−3−5211000000000000000000000000000000000000000000000000000000000000000
χ10288-48−2+25−2−25−2−25−2+25-4−2−25−2+25−2+25−2−25-23+53−5-2-23+53−5-2-41−51+51+51−5−2−25−2+25−2+25−2−251+51−51−51+5001−3−52−3+521-23+53−5-21−3−52−3+5211+51−51−51+511−3−52−3−52−3+52−3+5211000000000000000000000000000000000000000000000000000000000000000
χ10388-48−2+25−2−25−2+25−2−25-4−2+25−2−25−2+25−2−253−5-2-23+53−5-2-23+5-41−51+51−51+5−2+25−2−25−2+25−2−251−51+51−51+500−3+5211−3−523−5-2-23+5−3+5211−3−521−51+51−51+5−3+52−3+521111−3−52−3−52000000000000000000000000000000000000000000000000000000000000000
χ10488-4-8−2−25−2+25−2−25−2+25-4−2−25−2+25−2−25−2+253+5-2-23−53+5-2-23−541+51−51+51−52+252−252+252−251+51−51+51−500−3−5211−3+52−3−522−3+5−3−5211−3+52−1−5−1+5−1−5−1+53+523+52-1-1-1-13−523−52000000000000000000000000000000000000000000000000000000000000000
χ10588-4-8−2−25−2+25−2+25−2−25-4−2+25−2−25−2−25−2+25-23−53+5-2-23−53+5-241+51−51−51+52−252+252+252−251−51+51+51−5001−3+52−3−5212−3+5−3−521−3+52−3−521−1+5−1−5−1−5−1+5-1-13−523−523+523+52-1-1000000000000000000000000000000000000000000000000000000000000000
χ10688-4-8−2+25−2−25−2−25−2+25-4−2−25−2+25−2+25−2−25-23+53−5-2-23+53−5-241−51+51+51−52+252−252−252+251+51−51−51+5001−3−52−3+5212−3−5−3+521−3−52−3+521−1−5−1+5−1+5−1−5-1-13+523+523−523−52-1-1000000000000000000000000000000000000000000000000000000000000000
χ10788-4-8−2+25−2−25−2+25−2−25-4−2+25−2−25−2+25−2−253−5-2-23+53−5-2-23+541−51+51−51+52−252+252−252+251−51+51−51+500−3+5211−3−52−3+522−3−5−3+5211−3−52−1+5−1−5−1+5−1−53−523−52-1-1-1-13+523+52000000000000000000000000000000000000000000000000000000000000000
χ1088-880−2−25−2+25−2−25−2+25-82+252−252+252−253+5-2-23−5−3−522−3+50−2−25−2+25−2−25−2+2500002+252−252+252−25003+5-2-23−50000−3−522−3+5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-880−2−25−2+25−2+25−2−25-82−252+252+252−25-23−53+5-22−3+5−3−520−2−25−2+25−2+25−2−2500002−252+252+252−2500-23−53+5-200002−3+5−3−52000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-880−2+25−2−25−2−25−2+25-82+252−252−252+25-23+53−5-22−3−5−3+520−2+25−2−25−2−25−2+2500002+252−252−252+2500-23+53−5-200002−3−5−3+52000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-880−2+25−2−25−2+25−2−25-82−252+252−252+253−5-2-23+5−3+522−3−50−2+25−2−25−2+25−2−2500002−252+252−252+25003−5-2-23+50000−3+522−3−5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-4088−2−25−2+2542+252−25-8-8−2−25−2−25−2+25−2+252+252+252−252−250-4-41+51−50000−1−5−1+544001+51+51−51−50000−1−5−1−5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-4088−2+25−2−2542−252+25-8-8−2+25−2+25−2−25−2−252−252−252+252+250-4-41−51+50000−1+5−1−544001−51−51+51+50000−1+5−1+5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-40−2−25−2+25884-8-82+252−25−2−25−2+25−2−25−2+252+252−252+252−2501+51−5-4-4000044−1−5−1+5001+51−51+51−50000−1−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-40−2−25−2+25−2−25−2+2542+252−252+252−253+5-2-23−5−3−522−3+501+51−51+51−50000−1−5−1+5−1−5−1+500−3−5211−3+5200003+52-1-13−520000−3ζ7+2ζ11−2ζ19+3ζ23−2ζ31−3ζ43+3ζ47+2ζ593ζ7−2ζ11+2ζ19−3ζ23+2ζ31+3ζ43−3ζ47−2ζ59−1515−15152ζ7−3ζ11+3ζ19−2ζ23+3ζ31+2ζ43−2ζ47−3ζ59−2ζ7+3ζ11−3ζ19+2ζ23−3ζ31−2ζ43+2ζ47+3ζ59000000000000000000000000000000000000000000000000000000000000000
χ1168-8-40−2−25−2+25−2−25−2+2542+252−252+252−253+5-2-23−5−3−522−3+501+51−51+51−50000−1−5−1+5−1−5−1+500−3−5211−3+5200003+52-1-13−5200003ζ7−2ζ11+2ζ19−3ζ23+2ζ31+3ζ43−3ζ47−2ζ59−3ζ7+2ζ11−2ζ19+3ζ23−2ζ31−3ζ43+3ζ47+2ζ5915−1515−15−2ζ7+3ζ11−3ζ19+2ζ23−3ζ31−2ζ43+2ζ47+3ζ592ζ7−3ζ11+3ζ19−2ζ23+3ζ31+2ζ43−2ζ47−3ζ59000000000000000000000000000000000000000000000000000000000000000
χ1178-8-40−2−25−2+25−2+25−2−2542−252+252+252−25-23−53+5-22−3+5−3−5201+51−51−51+50000−1+5−1−5−1−5−1+5001−3+52−3−5210000-13−523+52-10000−1515−2ζ7+3ζ11−3ζ19+2ζ23−3ζ31−2ζ43+2ζ47+3ζ592ζ7−3ζ11+3ζ19−2ζ23+3ζ31+2ζ43−2ζ47−3ζ593ζ7−2ζ11+2ζ19−3ζ23+2ζ31+3ζ43−3ζ47−2ζ59−3ζ7+2ζ11−2ζ19+3ζ23−2ζ31−3ζ43+3ζ47+2ζ59−1515000000000000000000000000000000000000000000000000000000000000000
χ1188-8-40−2−25−2+25−2+25−2−2542−252+252+252−25-23−53+5-22−3+5−3−5201+51−51−51+50000−1+5−1−5−1−5−1+5001−3+52−3−5210000-13−523+52-1000015−152ζ7−3ζ11+3ζ19−2ζ23+3ζ31+2ζ43−2ζ47−3ζ59−2ζ7+3ζ11−3ζ19+2ζ23−3ζ31−2ζ43+2ζ47+3ζ59−3ζ7+2ζ11−2ζ19+3ζ23−2ζ31−3ζ43+3ζ47+2ζ593ζ7−2ζ11+2ζ19−3ζ23+2ζ31+3ζ43−3ζ47−2ζ5915−15000000000000000000000000000000000000000000000000000000000000000
χ1198-8-40−2+25−2−25884-8-82−252+25−2+25−2−25−2+25−2−252−252+252−252+2501−51+5-4-4000044−1+5−1−5001−51+51−51+50000−1+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-40−2+25−2−25−2−25−2+2542+252−252−252+25-23+53−5-22−3−5−3+5201−51+51+51−50000−1−5−1+5−1+5−1−5001−3−52−3+5210000-13+523−52-10000−15153ζ7−2ζ11+2ζ19−3ζ23+2ζ31+3ζ43−3ζ47−2ζ59−3ζ7+2ζ11−2ζ19+3ζ23−2ζ31−3ζ43+3ζ47+2ζ59−2ζ7+3ζ11−3ζ19+2ζ23−3ζ31−2ζ43+2ζ47+3ζ592ζ7−3ζ11+3ζ19−2ζ23+3ζ31+2ζ43−2ζ47−3ζ59−1515000000000000000000000000000000000000000000000000000000000000000
χ1218-8-40−2+25−2−25−2−25−2+2542+252−252−252+25-23+53−5-22−3−5−3+5201−51+51+51−50000−1−5−1+5−1+5−1−5001−3−52−3+5210000-13+523−52-1000015−15−3ζ7+2ζ11−2ζ19+3ζ23−2ζ31−3ζ43+3ζ47+2ζ593ζ7−2ζ11+2ζ19−3ζ23+2ζ31+3ζ43−3ζ47−2ζ592ζ7−3ζ11+3ζ19−2ζ23+3ζ31+2ζ43−2ζ47−3ζ59−2ζ7+3ζ11−3ζ19+2ζ23−3ζ31−2ζ43+2ζ47+3ζ5915−15000000000000000000000000000000000000000000000000000000000000000
χ1228-8-40−2+25−2−25−2+25−2−2542−252+252−252+253−5-2-23+5−3+522−3−501−51+51−51+50000−1+5−1−5−1+5−1−500−3+5211−3−5200003−52-1-13+5200002ζ7−3ζ11+3ζ19−2ζ23+3ζ31+2ζ43−2ζ47−3ζ59−2ζ7+3ζ11−3ζ19+2ζ23−3ζ31−2ζ43+2ζ47+3ζ59−1515−1515−3ζ7+2ζ11−2ζ19+3ζ23−2ζ31−3ζ43+3ζ47+2ζ593ζ7−2ζ11+2ζ19−3ζ23+2ζ31+3ζ43−3ζ47−2ζ59000000000000000000000000000000000000000000000000000000000000000
χ1238-8-40−2+25−2−25−2+25−2−2542−252+252−252+253−5-2-23+5−3+522−3−501−51+51−51+50000−1+5−1−5−1+5−1−500−3+5211−3−5200003−52-1-13+520000−2ζ7+3ζ11−3ζ19+2ζ23−3ζ31−2ζ43+2ζ47+3ζ592ζ7−3ζ11+3ζ19−2ζ23+3ζ31+2ζ43−2ζ47−3ζ5915−1515−153ζ7−2ζ11+2ζ19−3ζ23+2ζ31+3ζ43−3ζ47−2ζ59−3ζ7+2ζ11−2ζ19+3ζ23−2ζ31−3ζ43+3ζ47+2ζ59000000000000000000000000000000000000000000000000000000000000000

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