Finite Group Databasebeta

← Group #13164437

Character table — Group #13164437

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size112222244466668888881212121216161616161616161618183636363636363611222224446666888888121212121616161616161616161818363636363636361122222444666688888812121212161616161616161616181836363636363636
order12223466612244499918181861212121818181818183636368822248883666312666126121212999181818612121218181818181836363624246661224242436663126661261212129991818186121212181818181818363636242466612242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-11111-1-11-1-1111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-11111-1-11-1-1111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-11111-1-11-1-1
χ4111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-1-1-1-1-111-111111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-1-1-1-1-111-111111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-1-1-1-1-111-111
χ511-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1111-11-1-11-111-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1111-11-1-11-111-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1111-11-1-11-1
χ611-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-1-11-111-1111-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-1-11-111-1111-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-1-11-111-11
χ711-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-11-1-1111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111111-1-11-1-11
χ811-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111-1-1-111-111-111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111-1-1-111-111-111-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111-1-1-111-111-1
χ922222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-100000000022222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000000
χ102222-12-1-1-1-12222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000002222-12-1-1-1-12222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000002222-12-1-1-1-12222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000
χ112222-12-1-1-1-12222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000002222-12-1-1-1-12222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000002222-12-1-1-1-12222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000
χ122222-12-1-1-1-12222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520000000002222-12-1-1-1-12222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ520000000002222-12-1-1-1-12222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000
χ13222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000
χ14222-2-1-2-1-111-22-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-1-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000222-2-1-2-1-111-22-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-1-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000222-2-1-2-1-111-22-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-1-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000
χ15222-2-1-2-1-111-22-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-1-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000222-2-1-2-1-111-22-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-1-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000222-2-1-2-1-111-22-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-1-11ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000
χ16222-2-1-2-1-111-22-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-1-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000222-2-1-2-1-111-22-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-1-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000222-2-1-2-1-111-22-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-1-11−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000
χ1722-222-22-22-2-2-222-1-1-1-1-1-1-22-22111-1-1-111100000000022-222-22-22-2-2-222-1-1-1-1-1-1-22-22111-1-1-111100000000022-222-22-22-2-2-222-1-1-1-1-1-1-22-22111-1-1-1111000000000
χ1822-22-1-2-11-11-2-222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000022-22-1-2-11-11-2-222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000022-22-1-2-11-11-2-222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-11-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000
χ1922-22-1-2-11-11-2-222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000022-22-1-2-11-11-2-222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000022-22-1-2-11-11-2-222ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ681-11-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68000000000
χ2022-22-1-2-11-11-2-222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000022-22-1-2-11-11-2-222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ5200000000022-22-1-2-11-11-2-222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ521-11-1ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52000000000
χ2122-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-100000000022-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-100000000022-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-1000000000
χ2222-2-2-12-111-12-2-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000022-2-2-12-111-12-2-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000022-2-2-12-111-12-2-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68000000000
χ2322-2-2-12-111-12-2-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000022-2-2-12-111-12-2-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000022-2-2-12-111-12-2-22ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-1-111−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68000000000
χ2422-2-2-12-111-12-2-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000022-2-2-12-111-12-2-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ5200000000022-2-2-12-111-12-2-22−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-111ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000
χ253333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-11113333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-11113333333333-1-1-1-1000000-1-1-1-100000000011-1-1-1-1111
χ263333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-13333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-13333333333-1-1-1-1000000-1-1-1-1000000000-1-11111-1-1-1
χ27333-33-333-3-31-11-10000001-1-1100000000011-1-1111-1-1333-33-333-3-31-11-10000001-1-1100000000011-1-1111-1-1333-33-333-3-31-11-10000001-1-1100000000011-1-1111-1-1
χ28333-33-333-3-31-11-10000001-1-11000000000-1-111-1-1-111333-33-333-3-31-11-10000001-1-11000000000-1-111-1-1-111333-33-333-3-31-11-10000001-1-11000000000-1-111-1-1-111
χ2933-333-33-33-311-1-10000001-11-100000000011-11-11-11-133-333-33-33-311-1-10000001-11-100000000011-11-11-11-133-333-33-33-311-1-10000001-11-100000000011-11-11-11-1
χ3033-333-33-33-311-1-10000001-11-1000000000-1-11-11-11-1133-333-33-33-311-1-10000001-11-1000000000-1-11-11-11-1133-333-33-33-311-1-10000001-11-1000000000-1-11-11-11-11
χ3133-3-3333-3-33-111-1000000-1-11100000000011-111-1-1-1133-3-3333-3-33-111-1000000-1-11100000000011-111-1-1-1133-3-3333-3-33-111-1000000-1-11100000000011-111-1-1-11
χ3233-3-3333-3-33-111-1000000-1-111000000000-1-11-1-1111-133-3-3333-3-33-111-1000000-1-111000000000-1-11-1-1111-133-3-3333-3-33-111-1000000-1-111000000000-1-11-1-1111-1
χ334-40040-40000000-2-2-22220000000000000−2i22i200000004-40040-40000000-2-2-22220000000000000−2i22i200000004-40040-40000000-2-2-22220000000000000−2i22i20000000
χ344-40040-40000000-2-2-222200000000000002i2−2i200000004-40040-40000000-2-2-222200000000000002i2−2i200000004-40040-40000000-2-2-222200000000000002i2−2i20000000
χ356666-36-3-3-3-3-2-2-2-200000011110000000000000000006666-36-3-3-3-3-2-2-2-200000011110000000000000000006666-36-3-3-3-3-2-2-2-20000001111000000000000000000
χ36666-6-3-6-3-3332-22-2000000-111-1000000000000000000666-6-3-6-3-3332-22-2000000-111-1000000000000000000666-6-3-6-3-3332-22-2000000-111-1000000000000000000
χ3766-66-3-6-33-3322-2-2000000-11-1100000000000000000066-66-3-6-33-3322-2-2000000-11-1100000000000000000066-66-3-6-33-3322-2-2000000-11-11000000000000000000
χ3866-6-6-36-333-3-222-200000011-1-100000000000000000066-6-6-36-333-3-222-200000011-1-100000000000000000066-6-6-36-333-3-222-200000011-1-1000000000000000000
χ398-80080-80000000222-2-2-200000000000000000000008-80080-80000000222-2-2-200000000000000000000008-80080-80000000222-2-2-20000000000000000000000
χ408-800-4040000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800000000000000000000008-800-4040000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800000000000000000000008-800-4040000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000000000000000
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χ44111111111111111111111111111111111-1-1-1-1-1-1-1-1-1−1+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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ45111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-11111-1-11-1-1−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32
χ46111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-1-1-1-1-111-111−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32
χ4711-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1111-11-1-11-1−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32
χ4811-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-1-11-111-11−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
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χ5011-1-1111-1-111-1-1111111111-1-1-1-1-1-1-1-1111-1-1-111-111-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ5122222222222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
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χ542222-12-1-1-1-12222−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52-1-1-1-1−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52000000000−1+i3−1+i3−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i3ζ4+ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ68ζ4+ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ681−i321−i321−i321−i32ζ4+ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ68ζ4+ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ68ζ4+ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ68000000000−1−i3−1−i3−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i3−ζ44−ζ52ζ4+ζ52−ζ68−ζ4+ζ44+ζ68−ζ44−ζ52ζ4+ζ52−ζ68−ζ4+ζ44+ζ681+i321+i321+i321+i32−ζ44−ζ52ζ4+ζ52−ζ68−ζ4+ζ44+ζ68−ζ44−ζ52ζ4+ζ52−ζ68−ζ4+ζ44+ζ68−ζ44−ζ52ζ4+ζ52−ζ68−ζ4+ζ44+ζ68000000000
χ55222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000
χ56222-2-1-2-1-111-22-22ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681-1-11ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68000000000−1+i3−1+i3−1+i31−i31−i321−i31−i321−i32−1+i32−1+i321−i3−1+i31−i3−1+i3−ζ4−ζ44−ζ52−ζ68ζ4+ζ44+ζ52+ζ68−ζ4−ζ44−ζ52−ζ68ζ4+ζ44+ζ52+ζ68−1+i321−i321−i32−1+i32−ζ4−ζ44−ζ52−ζ68ζ4+ζ44+ζ52+ζ68ζ4+ζ44ζ52+ζ68−ζ4−ζ44−ζ52−ζ68ζ4+ζ44ζ52+ζ68−ζ4−ζ44−ζ52−ζ68000000000−1−i3−1−i3−1−i31+i31+i321+i31+i321+i32−1−i32−1−i321+i3−1−i31+i3−1−i3ζ4+ζ52−ζ68−ζ4+ζ44+ζ68−ζ44−ζ52ζ4+ζ52−ζ68−ζ4+ζ44+ζ68−ζ44−ζ52−1−i321+i321+i32−1−i32ζ4+ζ52−ζ68−ζ4+ζ44+ζ68−ζ44−ζ52−ζ4−ζ52+ζ68ζ4−ζ44−ζ68ζ44+ζ52−ζ4−ζ52+ζ68ζ4−ζ44−ζ68ζ44+ζ52000000000
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χ87111-11-111-1-1-11-11111111-111-1111-1-1-1-1-1-11111-1-11-1-1−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32
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χ9011-111-11-11-1-1-111111111-11-11-1-1-1111-1-1-1-1-1-11-111-11−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
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χ97222-22-222-2-2-22-22-1-1-1-1-1-1-222-2-1-1-1111111000000000−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i31+i321+i321+i321+i321+i321+i321+i3−1−i3−1−i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i31−i321−i321−i321−i321−i321−i321−i3−1+i3−1+i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000
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χ10522-2-2222-2-222-2-22-1-1-1-1-1-122-2-2111111-1-1-1000000000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32000000000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32000000000
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χ1248-800-4040000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000000000000000−4−4i34+4i3002+2i30−2−2i30000000−2ζ4−2ζ52+2ζ682ζ4−2ζ44−2ζ682ζ44+2ζ522ζ4+2ζ52−2ζ68−2ζ4+2ζ44+2ζ68−2ζ44−2ζ520000000000000000000000−4+4i34−4i3002−2i30−2+2i300000002ζ4+2ζ442ζ52+2ζ68−2ζ4−2ζ44−2ζ52−2ζ68−2ζ4−2ζ44−2ζ52−2ζ682ζ4+2ζ44+2ζ52+2ζ680000000000000000000000
χ1258-800-40400000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000000000000000−4−4i34+4i3002+2i30−2−2i300000002ζ44+2ζ52−2ζ4−2ζ52+2ζ682ζ4−2ζ44−2ζ68−2ζ44−2ζ522ζ4+2ζ52−2ζ68−2ζ4+2ζ44+2ζ680000000000000000000000−4+4i34−4i3002−2i30−2+2i30000000−2ζ4−2ζ44−2ζ52−2ζ682ζ4+2ζ442ζ52+2ζ682ζ4+2ζ44+2ζ52+2ζ68−2ζ4−2ζ44−2ζ52−2ζ680000000000000000000000
χ1268-800-4040000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000000000000000−4−4i34+4i3002+2i30−2−2i300000002ζ4−2ζ44−2ζ682ζ44+2ζ52−2ζ4−2ζ52+2ζ68−2ζ4+2ζ44+2ζ68−2ζ44−2ζ522ζ4+2ζ52−2ζ680000000000000000000000−4+4i34−4i3002−2i30−2+2i300000002ζ52+2ζ68−2ζ4−2ζ44−2ζ52−2ζ682ζ4+2ζ44−2ζ52−2ζ682ζ4+2ζ44+2ζ52+2ζ68−2ζ4−2ζ440000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.