Finite Group Databasebeta

← Group #17961934

Character table — Group #17961934

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size112444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616171732323232323232323232323234686868136136136136136136136136136136136136272272272272272
order12222417171717343434342244343434346868686868686868834343434343434343434343434343434686868686868686868686868686868682234343434136136136136136136136136222422444444444444448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11
χ3111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii-1
χ5111111111111111-11-1111111111111-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-11-11-11-11-1-1
χ6111111111111111-11-1111111111111-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11-11-11-11-11-11-1
χ7111111111111111-11-1111111111111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−i−iii−i−iii−i−ii1
χ8111111111111111-11-1111111111111-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11−iii−i−iii−i−iii−i1
χ911111111111111-11-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-11-1111111111-1-1-1-1-1
χ1011111111111111-11-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-11111-1
χ1111111111111111-11-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1ii−i−iii−i−i−i−iii1
χ1211111111111111-11-11111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−i−iii−i−iiiii−i−i1
χ1311111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11-11-11-11-1-11-111
χ1411111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-11-11-11-111-11-11
χ1511111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111i−i−iii−i−ii−iii−i-1
χ1611111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−iii−i−iii−ii−i−ii-1
χ172222-2-22222222200002222-2-2-2-2-2-2-2-202222-2-2-2-20000000000000000000000002200000000000022-2-2000002020-20-200000
χ182222-2-22222222200002222-2-2-2-2-2-2-2-202222-2-2-2-20000000000000000000000002200000000000022-2-200000-20-2020200000
χ192222-2-22222222200002222-2-2-2-2-2-2-2-202222-2-2-2-2000000000000000000000000-2-2000000000000-2-222000002i0−2i0−2i02i00000
χ202222-2-22222222200002222-2-2-2-2-2-2-2-202222-2-2-2-2000000000000000000000000-2-2000000000000-2-22200000−2i02i02i0−2i00000
χ21222-22-22222222200002222-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000220000000000002-22-200002020-20-2000000
χ22222-22-22222222200002222-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000220000000000002-22-20000-20-20202000000
χ23222-22-22222222200002222-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000-2-2000000000000-22-2200002i0−2i0−2i02i000000
χ24222-22-22222222200002222-2-2-2-2-2-2-2-20-2-2-2-22222000000000000000000000000-2-2000000000000-22-220000−2i02i02i0−2i000000
χ25222-2-2222222222020-22222222222220-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222222000000002-2-22020-20000000000000
χ26222-2-2222222222020-22222222222220-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2222200000000-222-20-2020000000000000
χ27222-2-22222222220-2022222222222220-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2000000002-2-220-2020000000000000
χ28222-2-22222222220-2022222222222220-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-2-2-200000000-222-2020-20000000000000
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χ32444444−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−ζ66-4-4-4-4−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−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+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+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+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ6600ζ18+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−ζ66000000000000000000000
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χ7888-8000−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ5440-402ζ6+2ζ10+2ζ58+2ζ622ζ2+2ζ26+2ζ42+2ζ662ζ18+2ζ30+2ζ38+2ζ502ζ14+2ζ22+2ζ46+2ζ54−2ζ6+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+2ζ46−2ζ54000000000−2ζ6−2ζ62−2ζ10−2ζ58−2ζ2−2ζ66−2ζ26−2ζ42−2ζ18−2ζ50−2ζ30−2ζ38−2ζ22−2ζ46−2ζ14−2ζ542ζ6+2ζ622ζ10+2ζ582ζ2+2ζ662ζ26+2ζ422ζ18+2ζ502ζ30+2ζ382ζ22+2ζ462ζ14+2ζ540000000000000000000000000000000000000000000
χ7988-8000−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ54-40402ζ6+2ζ10+2ζ58+2ζ622ζ2+2ζ26+2ζ42+2ζ662ζ18+2ζ30+2ζ38+2ζ502ζ14+2ζ22+2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ622ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ662ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ540000000002ζ10+2ζ582ζ6+2ζ622ζ26+2ζ422ζ2+2ζ662ζ30+2ζ382ζ18+2ζ502ζ14+2ζ542ζ22+2ζ46−2ζ10−2ζ58−2ζ6−2ζ62−2ζ26−2ζ42−2ζ2−2ζ66−2ζ30−2ζ38−2ζ18−2ζ50−2ζ14−2ζ54−2ζ22−2ζ460000000000000000000000000000000000000000000
χ8088-8000−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ2−2ζ26−2ζ42−2ζ66−2ζ18−2ζ30−2ζ38−2ζ50−2ζ14−2ζ22−2ζ46−2ζ54-40402ζ6+2ζ10+2ζ58+2ζ622ζ2+2ζ26+2ζ42+2ζ662ζ18+2ζ30+2ζ38+2ζ502ζ14+2ζ22+2ζ46+2ζ54−2ζ6+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+2ζ622ζ10+2ζ582ζ2+2ζ662ζ26+2ζ422ζ18+2ζ502ζ30+2ζ382ζ22+2ζ462ζ14+2ζ54−2ζ6−2ζ62−2ζ10−2ζ58−2ζ2−2ζ66−2ζ26−2ζ42−2ζ18−2ζ50−2ζ30−2ζ38−2ζ22−2ζ46−2ζ14−2ζ540000000000000000000000000000000000000000000
χ8188-8000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ6240-402ζ14+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+2ζ58−2ζ62000000000−2ζ22−2ζ46−2ζ14−2ζ54−2ζ30−2ζ38−2ζ18−2ζ50−2ζ2−2ζ66−2ζ26−2ζ42−2ζ10−2ζ58−2ζ6−2ζ622ζ22+2ζ462ζ14+2ζ542ζ30+2ζ382ζ18+2ζ502ζ2+2ζ662ζ26+2ζ422ζ10+2ζ582ζ6+2ζ620000000000000000000000000000000000000000000
χ8288-8000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ6240-402ζ14+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+2ζ62000000000−2ζ14−2ζ54−2ζ22−2ζ46−2ζ18−2ζ50−2ζ30−2ζ38−2ζ26−2ζ42−2ζ2−2ζ66−2ζ6−2ζ62−2ζ10−2ζ582ζ14+2ζ542ζ22+2ζ462ζ18+2ζ502ζ30+2ζ382ζ26+2ζ422ζ2+2ζ662ζ6+2ζ622ζ10+2ζ580000000000000000000000000000000000000000000
χ8388-8000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62-40402ζ14+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+2ζ58−2ζ620000000002ζ22+2ζ462ζ14+2ζ542ζ30+2ζ382ζ18+2ζ502ζ2+2ζ662ζ26+2ζ422ζ10+2ζ582ζ6+2ζ62−2ζ22−2ζ46−2ζ14−2ζ54−2ζ30−2ζ38−2ζ18−2ζ50−2ζ2−2ζ66−2ζ26−2ζ42−2ζ10−2ζ58−2ζ6−2ζ620000000000000000000000000000000000000000000
χ8488-8000−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62−2ζ14−2ζ22−2ζ46−2ζ54−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ6−2ζ10−2ζ58−2ζ62-40402ζ14+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+2ζ620000000002ζ14+2ζ542ζ22+2ζ462ζ18+2ζ502ζ30+2ζ382ζ26+2ζ422ζ2+2ζ662ζ6+2ζ622ζ10+2ζ58−2ζ14−2ζ54−2ζ22−2ζ46−2ζ18−2ζ50−2ζ30−2ζ38−2ζ26−2ζ42−2ζ2−2ζ66−2ζ6−2ζ62−2ζ10−2ζ580000000000000000000000000000000000000000000
χ8588-8000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ5040-402ζ2+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+2ζ50000000000−2ζ26−2ζ42−2ζ2−2ζ66−2ζ14−2ζ54−2ζ22−2ζ46−2ζ10−2ζ58−2ζ6−2ζ62−2ζ18−2ζ50−2ζ30−2ζ382ζ26+2ζ422ζ2+2ζ662ζ14+2ζ542ζ22+2ζ462ζ10+2ζ582ζ6+2ζ622ζ18+2ζ502ζ30+2ζ380000000000000000000000000000000000000000000
χ8688-8000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ5040-402ζ2+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+2ζ38−2ζ50000000000−2ζ2−2ζ66−2ζ26−2ζ42−2ζ22−2ζ46−2ζ14−2ζ54−2ζ6−2ζ62−2ζ10−2ζ58−2ζ30−2ζ38−2ζ18−2ζ502ζ2+2ζ662ζ26+2ζ422ζ22+2ζ462ζ14+2ζ542ζ6+2ζ622ζ10+2ζ582ζ30+2ζ382ζ18+2ζ500000000000000000000000000000000000000000000
χ8788-8000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50-40402ζ2+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+2ζ500000000002ζ26+2ζ422ζ2+2ζ662ζ14+2ζ542ζ22+2ζ462ζ10+2ζ582ζ6+2ζ622ζ18+2ζ502ζ30+2ζ38−2ζ26−2ζ42−2ζ2−2ζ66−2ζ14−2ζ54−2ζ22−2ζ46−2ζ10−2ζ58−2ζ6−2ζ62−2ζ18−2ζ50−2ζ30−2ζ380000000000000000000000000000000000000000000
χ8888-8000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ50-40402ζ2+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+2ζ38−2ζ500000000002ζ2+2ζ662ζ26+2ζ422ζ22+2ζ462ζ14+2ζ542ζ6+2ζ622ζ10+2ζ582ζ30+2ζ382ζ18+2ζ50−2ζ2−2ζ66−2ζ26−2ζ42−2ζ22−2ζ46−2ζ14−2ζ54−2ζ6−2ζ62−2ζ10−2ζ58−2ζ30−2ζ38−2ζ18−2ζ500000000000000000000000000000000000000000000
χ898-800008888-8-8-8-800000000000000000000000000000000000000000000000008-8000000000000000000000000000000000
χ908-800008888-8-8-8-80000000000000000000000000000000000000000000000000-88000000000000000000000000000000000
χ9116-160000−4ζ18−4ζ30−4ζ38−4ζ50−4ζ6−4ζ10−4ζ58−4ζ62−4ζ14−4ζ22−4ζ46−4ζ54−4ζ2−4ζ26−4ζ42−4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ6+4ζ10+4ζ58+4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ2+4ζ26+4ζ42+4ζ66000000000000000000000000000000000000000002ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ502ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ622ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ6600000000000000000000000000000000000
χ9216-160000−4ζ18−4ζ30−4ζ38−4ζ50−4ζ6−4ζ10−4ζ58−4ζ62−4ζ14−4ζ22−4ζ46−4ζ54−4ζ2−4ζ26−4ζ42−4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ6+4ζ10+4ζ58+4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ2+4ζ26+4ζ42+4ζ6600000000000000000000000000000000000000000−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ50−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ62−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ54−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ6600000000000000000000000000000000000
χ9316-160000−4ζ6−4ζ10−4ζ58−4ζ62−4ζ2−4ζ26−4ζ42−4ζ66−4ζ18−4ζ30−4ζ38−4ζ50−4ζ14−4ζ22−4ζ46−4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ2+4ζ26+4ζ42+4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ14+4ζ22+4ζ46+4ζ54000000000000000000000000000000000000000002ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ622ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ662ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ5400000000000000000000000000000000000
χ9416-160000−4ζ6−4ζ10−4ζ58−4ζ62−4ζ2−4ζ26−4ζ42−4ζ66−4ζ18−4ζ30−4ζ38−4ζ50−4ζ14−4ζ22−4ζ46−4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ2+4ζ26+4ζ42+4ζ664ζ18+4ζ30+4ζ38+4ζ504ζ14+4ζ22+4ζ46+4ζ5400000000000000000000000000000000000000000−2ζ6+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+2ζ46−2ζ5400000000000000000000000000000000000
χ9516-160000−4ζ14−4ζ22−4ζ46−4ζ54−4ζ18−4ζ30−4ζ38−4ζ50−4ζ2−4ζ26−4ζ42−4ζ66−4ζ6−4ζ10−4ζ58−4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ18+4ζ30+4ζ38+4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ6+4ζ10+4ζ58+4ζ62000000000000000000000000000000000000000002ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ542ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ6200000000000000000000000000000000000
χ9616-160000−4ζ14−4ζ22−4ζ46−4ζ54−4ζ18−4ζ30−4ζ38−4ζ50−4ζ2−4ζ26−4ζ42−4ζ66−4ζ6−4ζ10−4ζ58−4ζ624ζ14+4ζ22+4ζ46+4ζ544ζ18+4ζ30+4ζ38+4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ6+4ζ10+4ζ58+4ζ6200000000000000000000000000000000000000000−2ζ14+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+2ζ6200000000000000000000000000000000000
χ9716-160000−4ζ2−4ζ26−4ζ42−4ζ66−4ζ14−4ζ22−4ζ46−4ζ54−4ζ6−4ζ10−4ζ58−4ζ62−4ζ18−4ζ30−4ζ38−4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ14+4ζ22+4ζ46+4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ18+4ζ30+4ζ38+4ζ50000000000000000000000000000000000000000002ζ2−2ζ26−2ζ42+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+2ζ5000000000000000000000000000000000000
χ9816-160000−4ζ2−4ζ26−4ζ42−4ζ66−4ζ14−4ζ22−4ζ46−4ζ54−4ζ6−4ζ10−4ζ58−4ζ62−4ζ18−4ζ30−4ζ38−4ζ504ζ2+4ζ26+4ζ42+4ζ664ζ14+4ζ22+4ζ46+4ζ544ζ6+4ζ10+4ζ58+4ζ624ζ18+4ζ30+4ζ38+4ζ5000000000000000000000000000000000000000000−2ζ2+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+2ζ38−2ζ5000000000000000000000000000000000000

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