Finite Group Databasebeta

← Group #17954320

Character table — Group #17954320

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11114444444444444444444888888888888161616161616161616161616161616161616161616161616161717171732323232323232323232323232323232686868136136136136136136136136136136136136136136136136136136136136272
order1222444171717173434343434343434343434342488686868686868686846868686868686868136136136136136136136136136136136136136136136136222234343434686868686868686868686868444244444444488888888884
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1ii−i−iii−i−i-1-1iiii−i−i−i−i-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1−i−iii−i−iii-1-1−i−i−i−iiiii-1
χ51111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1
χ71111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11−i−i−i−iiiii1
χ81111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11iiii−i−i−i−i1
χ911111111111111111111111-1-11111111111-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-11-11-11-11111-1-111-1-1-1
χ1011111111111111111111111-1-11111111111-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-11-11-11-1111-1-111-1-111-1
χ1111111111111111111111111-1-11111111111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−i−iii−i−ii-1-1ii−i−i−i−iii1
χ1211111111111111111111111-1-11111111111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−iii−i−iii−i-1-1−i−iiiii−i−i1
χ1311111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-11-11-11-11-1-1-1-1-111-1-1111
χ1411111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-11-11-11-11-1-111-1-111-1-11
χ1511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111i−i−iii−i−ii11−i−iiiii−i−i-1
χ1611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111−iii−i−iii−i11ii−i−i−i−iii-1
χ1722222-2-222222222222222220000-2-2-2-2-2-2-2-202222-2-2-2-2000000000000000022220000000000000000-22-20002020-20-200000000000
χ1822222-2-222222222222222220000-2-2-2-2-2-2-2-202222-2-2-2-2000000000000000022220000000000000000-22-2000-20-2020200000000000
χ1922222-2-222222222222222220000-2-2-2-2-2-2-2-202222-2-2-2-20000000000000000-2-2-2-200000000000000002-220002i0−2i0−2i02i00000000000
χ2022222-2-222222222222222220000-2-2-2-2-2-2-2-202222-2-2-2-20000000000000000-2-2-2-200000000000000002-22000−2i02i02i0−2i00000000000
χ212222-22-222222222222222220000-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000022220000000000000000-2-22002020-20-2000000000000
χ222222-22-222222222222222220000-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000022220000000000000000-2-2200-20-20202000000000000
χ232222-22-222222222222222220000-2-2-2-2-2-2-2-20-2-2-2-222220000000000000000-2-2-2-2000000000000000022-2002i0−2i0−2i02i000000000000
χ242222-22-222222222222222220000-2-2-2-2-2-2-2-20-2-2-2-222220000000000000000-2-2-2-2000000000000000022-200−2i02i02i0−2i000000000000
χ252222-2-2222222222222222222-200222222220-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2000000002-2-22-20000000000000000000
χ262222-2-2222222222222222222-200222222220-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222-2-2-2-200000000-222-220000000000000000000
χ272222-2-222222222222222222-2200222222220-2-2-2-2-2-2-2-200000000000000002222-2-2-2-22222000000002-2-2-220000000000000000000
χ282222-2-222222222222222222-2200222222220-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222200000000-2222-20000000000000000000
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χ314444444−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−ζ66-4-444−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−ζ66-4−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−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ660000ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ2+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+ζ66000000000000000000000000
χ324444444−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−ζ66-4-4-4-4−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−ζ664−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−ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ660000ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ2+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−ζ66000000000000000000000000
χ334444444−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ544444−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ544−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ540000−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54000000000000000000000000
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χ838-8-88000−2ζ18−2ζ30−2ζ38−2ζ50−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ2−2ζ26−2ζ42−2ζ662ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ2−2ζ26−2ζ42−2ζ6600-442ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ502ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ622ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ660000000002ζ30+2ζ38−2ζ30−2ζ382ζ18+2ζ50−2ζ18−2ζ502ζ10+2ζ58−2ζ10−2ζ582ζ6+2ζ62−2ζ6−2ζ622ζ22+2ζ46−2ζ22−2ζ462ζ14+2ζ54−2ζ14−2ζ542ζ26+2ζ42−2ζ26−2ζ422ζ2+2ζ66−2ζ2−2ζ6600000000000000000000000000000000000000000000
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χ888-8-88000−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ5400-44−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ62−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ66−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ502ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ540000000002ζ6+2ζ62−2ζ6−2ζ622ζ10+2ζ58−2ζ10−2ζ582ζ2+2ζ66−2ζ2−2ζ662ζ26+2ζ42−2ζ26−2ζ422ζ18+2ζ50−2ζ18−2ζ502ζ30+2ζ38−2ζ30−2ζ382ζ22+2ζ46−2ζ22−2ζ462ζ14+2ζ54−2ζ14−2ζ5400000000000000000000000000000000000000000000
χ898-8-88000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62004-42ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62000000000−2ζ22−2ζ462ζ22+2ζ46−2ζ14−2ζ542ζ14+2ζ54−2ζ30−2ζ382ζ30+2ζ38−2ζ18−2ζ502ζ18+2ζ50−2ζ2−2ζ662ζ2+2ζ66−2ζ26−2ζ422ζ26+2ζ42−2ζ10−2ζ582ζ10+2ζ58−2ζ6−2ζ622ζ6+2ζ6200000000000000000000000000000000000000000000
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χ928-8-88000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ622ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ6200-44−2ζ14+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+2ζ620000000002ζ14+2ζ54−2ζ14−2ζ542ζ22+2ζ46−2ζ22−2ζ462ζ18+2ζ50−2ζ18−2ζ502ζ30+2ζ38−2ζ30−2ζ382ζ26+2ζ42−2ζ26−2ζ422ζ2+2ζ66−2ζ2−2ζ662ζ6+2ζ62−2ζ6−2ζ622ζ10+2ζ58−2ζ10−2ζ5800000000000000000000000000000000000000000000
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χ948-8-88000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50004-4−2ζ2+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+2ζ38−2ζ50000000000−2ζ2−2ζ662ζ2+2ζ66−2ζ26−2ζ422ζ26+2ζ42−2ζ22−2ζ462ζ22+2ζ46−2ζ14−2ζ542ζ14+2ζ54−2ζ6−2ζ622ζ6+2ζ62−2ζ10−2ζ582ζ10+2ζ58−2ζ30−2ζ382ζ30+2ζ38−2ζ18−2ζ502ζ18+2ζ5000000000000000000000000000000000000000000000
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χ968-8-88000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ502ζ18+2ζ30+2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ5000-44−2ζ2+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+2ζ38−2ζ500000000002ζ2+2ζ66−2ζ2−2ζ662ζ26+2ζ42−2ζ26−2ζ422ζ22+2ζ46−2ζ22−2ζ462ζ14+2ζ54−2ζ14−2ζ542ζ6+2ζ62−2ζ6−2ζ622ζ10+2ζ58−2ζ10−2ζ582ζ30+2ζ38−2ζ30−2ζ382ζ18+2ζ50−2ζ18−2ζ5000000000000000000000000000000000000000000000
χ971616-16-16000−4ζ18−4ζ30−4ζ38−4ζ50−4ζ6−4ζ10−4ζ58−4ζ62−4ζ14−4ζ22−4ζ46−4ζ54−4ζ2−4ζ26−4ζ42−4ζ66−4ζ18−4ζ30−4ζ38−4ζ504ζ18+4ζ30+4ζ38+4ζ50−4ζ6−4ζ10−4ζ58−4ζ624ζ6+4ζ10+4ζ58+4ζ62−4ζ14−4ζ22−4ζ46−4ζ544ζ14+4ζ22+4ζ46+4ζ54−4ζ2−4ζ26−4ζ42−4ζ664ζ2+4ζ26+4ζ42+4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ6+4ζ10+4ζ58+4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ2+4ζ26+4ζ42+4ζ66000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ981616-16-16000−4ζ6−4ζ10−4ζ58−4ζ62−4ζ2−4ζ26−4ζ42−4ζ66−4ζ18−4ζ30−4ζ38−4ζ50−4ζ14−4ζ22−4ζ46−4ζ54−4ζ6−4ζ10−4ζ58−4ζ624ζ6+4ζ10+4ζ58+4ζ62−4ζ2−4ζ26−4ζ42−4ζ664ζ2+4ζ26+4ζ42+4ζ66−4ζ18−4ζ30−4ζ38−4ζ504ζ18+4ζ30+4ζ38+4ζ50−4ζ14−4ζ22−4ζ46−4ζ544ζ14+4ζ22+4ζ46+4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ2+4ζ26+4ζ42+4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ14+4ζ22+4ζ46+4ζ54000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ991616-16-16000−4ζ14−4ζ22−4ζ46−4ζ54−4ζ18−4ζ30−4ζ38−4ζ50−4ζ2−4ζ26−4ζ42−4ζ66−4ζ6−4ζ10−4ζ58−4ζ62−4ζ14−4ζ22−4ζ46−4ζ544ζ14+4ζ22+4ζ46+4ζ54−4ζ18−4ζ30−4ζ38−4ζ504ζ18+4ζ30+4ζ38+4ζ50−4ζ2−4ζ26−4ζ42−4ζ664ζ2+4ζ26+4ζ42+4ζ66−4ζ6−4ζ10−4ζ58−4ζ624ζ6+4ζ10+4ζ58+4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ18+4ζ30+4ζ38+4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ6+4ζ10+4ζ58+4ζ62000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1001616-16-16000−4ζ2−4ζ26−4ζ42−4ζ66−4ζ14−4ζ22−4ζ46−4ζ54−4ζ6−4ζ10−4ζ58−4ζ62−4ζ18−4ζ30−4ζ38−4ζ50−4ζ2−4ζ26−4ζ42−4ζ664ζ2+4ζ26+4ζ42+4ζ66−4ζ14−4ζ22−4ζ46−4ζ544ζ14+4ζ22+4ζ46+4ζ54−4ζ6−4ζ10−4ζ58−4ζ624ζ6+4ζ10+4ζ58+4ζ62−4ζ18−4ζ30−4ζ38−4ζ504ζ18+4ζ30+4ζ38+4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ14+4ζ22+4ζ46+4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ18+4ζ30+4ζ38+4ζ50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-1616-16000−4ζ18−4ζ30−4ζ38−4ζ50−4ζ6−4ζ10−4ζ58−4ζ62−4ζ14−4ζ22−4ζ46−4ζ54−4ζ2−4ζ26−4ζ42−4ζ664ζ18+4ζ30+4ζ38+4ζ50−4ζ18−4ζ30−4ζ38−4ζ504ζ6+4ζ10+4ζ58+4ζ62−4ζ6−4ζ10−4ζ58−4ζ624ζ14+4ζ22+4ζ46+4ζ54−4ζ14−4ζ22−4ζ46−4ζ544ζ2+4ζ26+4ζ42+4ζ66−4ζ2−4ζ26−4ζ42−4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ6+4ζ10+4ζ58+4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ2+4ζ26+4ζ42+4ζ66000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1616-16000−4ζ6−4ζ10−4ζ58−4ζ62−4ζ2−4ζ26−4ζ42−4ζ66−4ζ18−4ζ30−4ζ38−4ζ50−4ζ14−4ζ22−4ζ46−4ζ544ζ6+4ζ10+4ζ58+4ζ62−4ζ6−4ζ10−4ζ58−4ζ624ζ2+4ζ26+4ζ42+4ζ66−4ζ2−4ζ26−4ζ42−4ζ664ζ18+4ζ30+4ζ38+4ζ50−4ζ18−4ζ30−4ζ38−4ζ504ζ14+4ζ22+4ζ46+4ζ54−4ζ14−4ζ22−4ζ46−4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ2+4ζ26+4ζ42+4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ14+4ζ22+4ζ46+4ζ54000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-1616-16000−4ζ14−4ζ22−4ζ46−4ζ54−4ζ18−4ζ30−4ζ38−4ζ50−4ζ2−4ζ26−4ζ42−4ζ66−4ζ6−4ζ10−4ζ58−4ζ624ζ14+4ζ22+4ζ46+4ζ54−4ζ14−4ζ22−4ζ46−4ζ544ζ18+4ζ30+4ζ38+4ζ50−4ζ18−4ζ30−4ζ38−4ζ504ζ2+4ζ26+4ζ42+4ζ66−4ζ2−4ζ26−4ζ42−4ζ664ζ6+4ζ10+4ζ58+4ζ62−4ζ6−4ζ10−4ζ58−4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ18+4ζ30+4ζ38+4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ6+4ζ10+4ζ58+4ζ62000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-1616-16000−4ζ2−4ζ26−4ζ42−4ζ66−4ζ14−4ζ22−4ζ46−4ζ54−4ζ6−4ζ10−4ζ58−4ζ62−4ζ18−4ζ30−4ζ38−4ζ504ζ2+4ζ26+4ζ42+4ζ66−4ζ2−4ζ26−4ζ42−4ζ664ζ14+4ζ22+4ζ46+4ζ54−4ζ14−4ζ22−4ζ46−4ζ544ζ6+4ζ10+4ζ58+4ζ62−4ζ6−4ζ10−4ζ58−4ζ624ζ18+4ζ30+4ζ38+4ζ50−4ζ18−4ζ30−4ζ38−4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ14+4ζ22+4ζ46+4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ18+4ζ30+4ζ38+4ζ50000000000000000000000000000000000000000000000000000000000000000000000000000000000

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