Finite Group Databasebeta

← Group #13151127

Character table — Group #13151127

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size112222222222244444444444444668888888888888888812121212121212121218182424242427273636365472108112222222222244444444444444668888888888888888812121212121212121218182424242427273636365472108
order1233466999181818236999121218181836363688666612181818181818181818363636424247272727272728812363636442242426422664661818181818182661818181212181818363636886666121818181818181818183636364242472727272727288123636364422424264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-11-1
χ4111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11
χ51111111111111-1111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-111-1111-1-11111111111111-1111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-11111111111-1-1-1-111-1111-1-1
χ61111111111111-1111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11-1-1-1111111111111111-1111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-11-1-1-111
χ71111111111111-11111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-111111111111111-11111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111-1-11
χ81111111111111-11111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-111-11111111111111-11111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-111-1
χ92222222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1002-1-1-1000000002222222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1002-1-1-100000000
χ102222222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100-2111000000002222222-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-2-222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100-211100000000
χ112222222-1-1-1-1-1-1-222-1-1-122-1-1-1-1-1-122-2-2-2-22111111111-1-1-1-222-1-1-1-1-1-100-2111000000002222222-1-1-1-1-1-1-222-1-1-122-1-1-1-1-1-122-2-2-2-22111111111-1-1-1-222-1-1-1-1-1-100-211100000000
χ122222222-1-1-1-1-1-1-222-1-1-122-1-1-1-1-1-1-2-2-2-2-2-22111111111-1-1-12-2-2111111002-1-1-1000000002222222-1-1-1-1-1-1-222-1-1-122-1-1-1-1-1-1-2-2-2-2-2-22111111111-1-1-12-2-2111111002-1-1-100000000
χ132222-222222222022222-2-2222-2-2-2000000-2000000000-2-2-200000000000000022000-2002222-222222222022222-2-2222-2-2-2000000-2000000000-2-2-200000000000000022000-200
χ142222-222222222022222-2-2222-2-2-2000000-2000000000-2-2-2000000000000000-2-20002002222-222222222022222-2-2222-2-2-2000000-2000000000-2-2-2000000000000000-2-2000200
χ15222-12-122222222-1-1-1-1-12-1-1-1-1222002-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000220000002-1-10-10222-12-122222222-1-1-1-1-12-1-1-1-1222002-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000220000002-1-10-10
χ16222-12-122222222-1-1-1-1-12-1-1-1-1222002-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000-2-2000000-211010222-12-122222222-1-1-1-1-12-1-1-1-1222002-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000-2-2000000-211010
χ17222-12-12222222-2-1-1-1-1-12-1-1-1-122200-2111-1-2-2-2111111-1-1-100000000022000000-2-1-1010222-12-12222222-2-1-1-1-1-12-1-1-1-122200-2111-1-2-2-2111111-1-1-100000000022000000-2-1-1010
χ18222-12-12222222-2-1-1-1-1-12-1-1-1-122200-2111-1-2-2-2111111-1-1-1000000000-2-20000002110-10222-12-12222222-2-1-1-1-1-12-1-1-1-122200-2111-1-2-2-2111111-1-1-1000000000-2-20000002110-10
χ1922-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-12-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000022-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822-12-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6800-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000
χ2022-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-12-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000022-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-12-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000
χ2122-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68221-211-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000022-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68221-211-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68001−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000
χ2222-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-21-211-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000022-1222-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-12ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-21-211-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68211−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ6800-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6800000000
χ2322-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-12-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ680000000022-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6822-12-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ6800-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ6800000000
χ2422-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-12-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000000022-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ682-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-2-12-1-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-211−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000
χ2522-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68221-211-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ680000000022-1222-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-1-1ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-12ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68221-211-1−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4+ζ68ζ4+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68-2-1-1ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68001−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ6800000000
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χ1344-4-240-42−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520-22−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ520002i2−2i2000000000000000000−i2i2−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ7100000000000000-442-404-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ5202-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52000−2i22i2000000000000000000i2−i2ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ7100000000000000
χ1358-88-404-8-4-4-44440-4422200-2-2-2000000000000000000000000000000000000000000000-88-840-48444-4-4-404-4-2-2-200222000000000000000000000000000000000000000000000
χ1368-8-4-40444ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ6802-2−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68002ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68000000000000000000000000000000000000000000000-88440-4-4−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ680-222ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ6800−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68000000000000000000000000000000000000000000000
χ1378-8-4-40444ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ6802-2−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68002ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68000000000000000000000000000000000000000000000-88440-4-4−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ680-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ6800−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68000000000000000000000000000000000000000000000
χ1388-8-4-4044−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ5202-22ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ5200−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52000000000000000000000000000000000000000000000-88440-4-44ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ520-22−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52000000000000000000000000000000000000000000000

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