Finite Group Databasebeta

← Group #13060788

Character table — Group #13060788

Order 1344.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222223333333333333333333333333333333333336666666666666666666666666666666666666666666666666666662828282828282828565656565656565656565656
order12442488882244771414141414141414141414141414282828282828282828282828282828282488881414141414141414282828282828282856565656565656565656565656565656565656565656565656565656565656563366121212126612122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1−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
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111−1+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
χ4111111-1-1-1-111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ5111111-1-1-1-111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ6111111-1-1-1-111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ71111-1-111-1-1111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ81111-1-111-1-1111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ91111-1-111-1-1111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ101111-1-1-1-111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-111-1-111
χ111111-1-1-1-111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ121111-1-1-1-111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1311-1-11-1i−ii−i11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1i−ii−ii−ii−i
χ1411-1-11-1i−ii−i11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ1511-1-11-1i−ii−i11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ1611-1-11-1−ii−ii11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1−ii−ii−ii−ii
χ1711-1-11-1−ii−ii11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ1811-1-11-1−ii−ii11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ1911-1-1-11i−i−ii11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111i−i−iii−i−ii
χ2011-1-1-11i−i−ii11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321−i32−1−i32−1+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ2111-1-1-11i−i−ii11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i−ii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321+i32−1+i32−1−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ2211-1-1-11−iii−i11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111−iii−i−iii−i
χ2311-1-1-11−iii−i11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321−i32−1−i32−1+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ2411-1-1-11−iii−i11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−iii−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321+i32−1+i32−1−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ252-22i−2i0000002-22i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000022-2-22i−2i2i−2i000000000000
χ262-22i−2i0000002-22i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000−1−i3−1+i31+i31−i32ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79000000000000
χ272-22i−2i0000002-22i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000−1+i3−1−i31−i31+i32ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83000000000000
χ282-2−2i2i0000002-2−2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000022-2-2−2i2i−2i2i000000000000
χ292-2−2i2i0000002-2−2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000−1−i3−1+i31+i31−i3−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79000000000000
χ302-2−2i2i0000002-2−2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000−1+i3−1−i31−i31+i3−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ792ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ832ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83000000000000
χ3133333333333333−1−i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1−i72−1+i72−1−i72−1+i72333333−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i7200000000000000000000
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χ1096-66i−6i000000-22−2i2i−1+i7−1−i7−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ82−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ74−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ742ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ742ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ822ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ82−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ822ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ742ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ74−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ741−i71+i7−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ832ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ832ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ79−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ792ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ83−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ832ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ83−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ792ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ7900000000000000000000000000000000000000000000000000000000000000000000000000
χ1106-66i−6i000000-22−2i2i−1+i7−1−i7−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ82−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ742ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ74−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ742ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ82−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ822ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ822ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ74−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ742ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ741−i71+i72ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ83−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ83−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ79−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ792ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ832ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ832ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ832ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ792ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ79−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ7900000000000000000000000000000000000000000000000000000000000000000000000000
χ1116-66i−6i000000-22−2i2i−1+i7−1−i72ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ82−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ74−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ74−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ74−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ822ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ822ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ82−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ742ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ742ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ741−i71+i7−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ83−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ832ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ792ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ792ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ832ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ83−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ832ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ79−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ7900000000000000000000000000000000000000000000000000000000000000000000000000
χ1126-6−6i6i0000006-6−6i6i−1−i7−1+i7−1−i7−1−i7−1−i7−1+i7−1+i7−1+i71+i71+i71+i71−i71−i71−i71+i71−i7−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ8300000000000000000000000000000000000000000000000000000000000000000000000000
χ1136-6−6i6i0000006-6−6i6i−1+i7−1−i7−1+i7−1+i7−1+i7−1−i7−1−i7−1−i71−i71−i71−i71+i71+i71+i71−i71+i7−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ7900000000000000000000000000000000000000000000000000000000000000000000000000
χ1146-6−6i6i000000-222i−2i66-2-2-2-2-2-2222222-6-62i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−6i−6i6i6i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1156-6−6i6i000000-222i−2i−1−i7−1+i72ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ74−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ74−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ74−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ82−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ742ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ742ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ742ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ822ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ82−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ821+i71−i72ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ79−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ792ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ83−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ832ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ83−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ792ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ79−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ832ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ8300000000000000000000000000000000000000000000000000000000000000000000000000
χ1166-6−6i6i000000-222i−2i−1−i7−1+i7−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ74−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ742ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ74−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ822ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ742ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ74−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ742ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ82−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ822ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ821+i71−i7−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ792ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ79−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ832ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ832ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ832ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ79−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ792ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ83−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ8300000000000000000000000000000000000000000000000000000000000000000000000000
χ1176-6−6i6i000000-222i−2i−1−i7−1+i7−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ742ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ74−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ742ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ82−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ74−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ742ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ74−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ822ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ822ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ821+i71−i72ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ792ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ79−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ832ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ83−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ83−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ79−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ792ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ83−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ832ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ8300000000000000000000000000000000000000000000000000000000000000000000000000
χ1186-6−6i6i000000-222i−2i−1+i7−1−i7−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ82−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ74−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ742ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ742ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ822ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ82−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ822ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ742ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ74−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ741−i71+i72ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ83−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ832ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ83−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ792ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ79−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ832ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ832ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ79−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ7900000000000000000000000000000000000000000000000000000000000000000000000000
χ1196-6−6i6i000000-222i−2i−1+i7−1−i7−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ82−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ742ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ74−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ742ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ82−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ822ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ822ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ74−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ742ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ741−i71+i7−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ832ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ832ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ832ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ792ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ79−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ83−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ83−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ79−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ792ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ7900000000000000000000000000000000000000000000000000000000000000000000000000
χ1206-6−6i6i000000-222i−2i−1+i7−1−i72ζ10−2ζ26−2ζ34+2ζ38−2ζ62−2ζ82−2ζ10−2ζ26+2ζ34−2ζ38+2ζ62−2ζ82−2ζ10+2ζ26−2ζ34−2ζ38−2ζ62+2ζ822ζ2−2ζ22−2ζ46−2ζ50+2ζ58−2ζ74−2ζ2−2ζ22+2ζ46−2ζ50−2ζ58+2ζ74−2ζ2+2ζ22−2ζ46+2ζ50−2ζ58−2ζ74−2ζ10+2ζ26+2ζ34−2ζ38+2ζ62+2ζ822ζ10+2ζ26−2ζ34+2ζ38−2ζ62+2ζ822ζ10−2ζ26+2ζ34+2ζ38+2ζ62−2ζ82−2ζ2+2ζ22+2ζ46+2ζ50−2ζ58+2ζ742ζ2+2ζ22−2ζ46+2ζ50+2ζ58−2ζ742ζ2−2ζ22+2ζ46−2ζ50+2ζ58+2ζ741−i71+i72ζ19−2ζ31+2ζ47+2ζ55−2ζ59+2ζ832ζ19+2ζ31+2ζ47−2ζ55+2ζ59−2ζ83−2ζ19+2ζ31−2ζ47+2ζ55+2ζ59+2ζ832ζ11−2ζ23+2ζ43+2ζ67+2ζ71−2ζ79−2ζ11+2ζ23+2ζ43−2ζ67+2ζ71+2ζ792ζ11+2ζ23−2ζ43+2ζ67−2ζ71+2ζ79−2ζ19+2ζ31−2ζ47−2ζ55+2ζ59−2ζ83−2ζ19−2ζ31−2ζ47+2ζ55−2ζ59+2ζ832ζ19−2ζ31+2ζ47−2ζ55−2ζ59−2ζ83−2ζ11+2ζ23−2ζ43−2ζ67−2ζ71+2ζ792ζ11−2ζ23−2ζ43+2ζ67−2ζ71−2ζ79−2ζ11−2ζ23+2ζ43−2ζ67+2ζ71−2ζ79−2ζ19−2ζ31−2ζ47−2ζ55−2ζ59−2ζ83−2ζ11−2ζ23−2ζ43−2ζ67−2ζ71−2ζ792ζ19+2ζ31+2ζ47+2ζ55+2ζ59+2ζ832ζ11+2ζ23+2ζ43+2ζ67+2ζ71+2ζ7900000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.