Finite Group Databasebeta

← Group #17959335

Character table — Group #17959335

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size11112244444444444444444444444444444444448888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616343468686868686868136136136136136136136136136136272272272272272
order122222441717171734343434343434343434343434343434343434343434343434343434224443434343434343434343434343434343468686868686868686868686868686868686868686868686868686868686868686868686868686868442222444224444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1ii−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1−i−iii
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-111111111-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111iiii−i−i−i−i1−i−iii
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111−i−i−i−iiiii1ii−i−i
χ9111111-1-11111111111111111111111111111111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-1-111ii−i−iii−i−i-1i−ii−i
χ10111111-1-11111111111111111111111111111111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-1-111−i−iii−i−iii-1−ii−ii
χ11111111-1-11111111111111111111111111111111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-11111-1-11
χ12111111-1-11111111111111111111111111111111111-11-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11-111-1
χ13111111-1-111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1ii−i−iii−i−i1−ii−ii
χ14111111-1-111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-11-1-1-1-1−i−iii−i−iii1i−ii−i
χ15111111-1-111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-111-1-111-1
χ16111111-1-111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-11-1-11
χ17222222222222222222222222222222222222222200-2-200000000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222222222-2-2222-2-2000000000000000
χ18222222222222222222222222222222222222222200-2-200000000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-222222222-2-222-2-2-222000000000000000
χ19222222-2-222222222222222222222222222222222002-200000000000000000222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222000000000000000
χ20222222-2-222222222222222222222222222222222002-200000000000000000222222220000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2000000000000000
χ2122-2-22-22i−2i222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i002-20002i−2i001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000
χ2222-2-22-22i−2i222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i002-20002i−2i00−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000
χ2322-2-22-22i−2i222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i00-22000−2i2i001−i−1+i−1−i1+i−1+i1−i1+i−1−i00000
χ2422-2-22-22i−2i222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000002i2i2i2i−2i−2i−2i−2i00-22000−2i2i00−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000
χ2522-2-22-2−2i2i222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i002-2000−2i2i001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000
χ2622-2-22-2−2i2i222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i002-2000−2i2i00−1+i1−i−1−i1+i−1+i1−i−1−i1+i00000
χ2722-2-22-2−2i2i222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i00-220002i−2i001+i−1−i−1+i1−i−1−i1+i1−i−1+i00000
χ2822-2-22-2−2i2i222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000−2i−2i−2i−2i2i2i2i2i00-220002i−2i00−1−i1+i1−i−1+i1+i−1−i−1+i1−i00000
χ2944444444−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ6600-4-40ζ18−ζ30−ζ38+ζ50ζ18−ζ30−ζ38+ζ50−ζ18+ζ30+ζ38−ζ50−ζ18+ζ30+ζ38−ζ50ζ6−ζ10−ζ58+ζ62ζ6−ζ10−ζ58+ζ62−ζ6+ζ10+ζ58−ζ62−ζ6+ζ10+ζ58−ζ62ζ14−ζ22−ζ46+ζ54ζ14−ζ22−ζ46+ζ54−ζ14+ζ22+ζ46−ζ54−ζ14+ζ22+ζ46−ζ54ζ2−ζ26−ζ42+ζ66ζ2−ζ26−ζ42+ζ66−ζ2+ζ26+ζ42−ζ66−ζ2+ζ26+ζ42−ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ18−ζ30−ζ38+ζ50ζ18−ζ30−ζ38+ζ50−ζ18+ζ30+ζ38−ζ50−ζ18+ζ30+ζ38−ζ50ζ6−ζ10−ζ58+ζ62ζ6−ζ10−ζ58+ζ62−ζ6+ζ10+ζ58−ζ62−ζ6+ζ10+ζ58−ζ62ζ14−ζ22−ζ46+ζ54ζ14−ζ22−ζ46+ζ54−ζ14+ζ22+ζ46−ζ54−ζ14+ζ22+ζ46−ζ54ζ2−ζ26−ζ42+ζ66ζ2−ζ26−ζ42+ζ66−ζ2+ζ26+ζ42−ζ66−ζ2+ζ26+ζ42−ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66000000000000000000000000
χ3044444444−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ6600-4-40−ζ18+ζ30+ζ38−ζ50−ζ18+ζ30+ζ38−ζ50ζ18−ζ30−ζ38+ζ50ζ18−ζ30−ζ38+ζ50−ζ6+ζ10+ζ58−ζ62−ζ6+ζ10+ζ58−ζ62ζ6−ζ10−ζ58+ζ62ζ6−ζ10−ζ58+ζ62−ζ14+ζ22+ζ46−ζ54−ζ14+ζ22+ζ46−ζ54ζ14−ζ22−ζ46+ζ54ζ14−ζ22−ζ46+ζ54−ζ2+ζ26+ζ42−ζ66−ζ2+ζ26+ζ42−ζ66ζ2−ζ26−ζ42+ζ66ζ2−ζ26−ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66−ζ18+ζ30+ζ38−ζ50−ζ18+ζ30+ζ38−ζ50ζ18−ζ30−ζ38+ζ50ζ18−ζ30−ζ38+ζ50−ζ6+ζ10+ζ58−ζ62−ζ6+ζ10+ζ58−ζ62ζ6−ζ10−ζ58+ζ62ζ6−ζ10−ζ58+ζ62−ζ14+ζ22+ζ46−ζ54−ζ14+ζ22+ζ46−ζ54ζ14−ζ22−ζ46+ζ54ζ14−ζ22−ζ46+ζ54−ζ2+ζ26+ζ42−ζ66−ζ2+ζ26+ζ42−ζ66ζ2−ζ26−ζ42+ζ66ζ2−ζ26−ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66000000000000000000000000
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χ1188-8-880000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ62−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ54−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ624-4000−2ζ22−2ζ462ζ22+2ζ46−2ζ14−2ζ542ζ14+2ζ54−2ζ30−2ζ382ζ30+2ζ38−2ζ18−2ζ502ζ18+2ζ50−2ζ2−2ζ662ζ2+2ζ66−2ζ26−2ζ422ζ26+2ζ42−2ζ10−2ζ582ζ10+2ζ58−2ζ6−2ζ622ζ6+2ζ620000000000000000000000000000000000000000000000000000000000000000
χ1198-8-880000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ62−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ54−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62-440002ζ22+2ζ46−2ζ22−2ζ462ζ14+2ζ54−2ζ14−2ζ542ζ30+2ζ38−2ζ30−2ζ382ζ18+2ζ50−2ζ18−2ζ502ζ2+2ζ66−2ζ2−2ζ662ζ26+2ζ42−2ζ26−2ζ422ζ10+2ζ58−2ζ10−2ζ582ζ6+2ζ62−2ζ6−2ζ620000000000000000000000000000000000000000000000000000000000000000
χ1208-8-880000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ54−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ624-4000−2ζ14−2ζ542ζ14+2ζ54−2ζ22−2ζ462ζ22+2ζ46−2ζ18−2ζ502ζ18+2ζ50−2ζ30−2ζ382ζ30+2ζ38−2ζ26−2ζ422ζ26+2ζ42−2ζ2−2ζ662ζ2+2ζ66−2ζ6−2ζ622ζ6+2ζ62−2ζ10−2ζ582ζ10+2ζ580000000000000000000000000000000000000000000000000000000000000000
χ1218-8-880000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ54−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62-440002ζ14+2ζ54−2ζ14−2ζ542ζ22+2ζ46−2ζ22−2ζ462ζ18+2ζ50−2ζ18−2ζ502ζ30+2ζ38−2ζ30−2ζ382ζ26+2ζ42−2ζ26−2ζ422ζ2+2ζ66−2ζ2−2ζ662ζ6+2ζ62−2ζ6−2ζ622ζ10+2ζ58−2ζ10−2ζ580000000000000000000000000000000000000000000000000000000000000000
χ1228-8-880000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ504-4000−2ζ26−2ζ422ζ26+2ζ42−2ζ2−2ζ662ζ2+2ζ66−2ζ14−2ζ542ζ14+2ζ54−2ζ22−2ζ462ζ22+2ζ46−2ζ10−2ζ582ζ10+2ζ58−2ζ6−2ζ622ζ6+2ζ62−2ζ18−2ζ502ζ18+2ζ50−2ζ30−2ζ382ζ30+2ζ380000000000000000000000000000000000000000000000000000000000000000
χ1238-8-880000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50-440002ζ26+2ζ42−2ζ26−2ζ422ζ2+2ζ66−2ζ2−2ζ662ζ14+2ζ54−2ζ14−2ζ542ζ22+2ζ46−2ζ22−2ζ462ζ10+2ζ58−2ζ10−2ζ582ζ6+2ζ62−2ζ6−2ζ622ζ18+2ζ50−2ζ18−2ζ502ζ30+2ζ38−2ζ30−2ζ380000000000000000000000000000000000000000000000000000000000000000
χ1248-8-880000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ504-4000−2ζ2−2ζ662ζ2+2ζ66−2ζ26−2ζ422ζ26+2ζ42−2ζ22−2ζ462ζ22+2ζ46−2ζ14−2ζ542ζ14+2ζ54−2ζ6−2ζ622ζ6+2ζ62−2ζ10−2ζ582ζ10+2ζ58−2ζ30−2ζ382ζ30+2ζ38−2ζ18−2ζ502ζ18+2ζ500000000000000000000000000000000000000000000000000000000000000000
χ1258-8-880000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50-440002ζ2+2ζ66−2ζ2−2ζ662ζ26+2ζ42−2ζ26−2ζ422ζ22+2ζ46−2ζ22−2ζ462ζ14+2ζ54−2ζ14−2ζ542ζ6+2ζ62−2ζ6−2ζ622ζ10+2ζ58−2ζ10−2ζ582ζ30+2ζ38−2ζ30−2ζ382ζ18+2ζ50−2ζ18−2ζ500000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.