Finite Group Databasebeta

← Group #72276777

Character table — Group #72276777

Order 4032.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11334466661212161616161616161633991212181818183636484848484848484833991212181818183636484848484848484877212128284242424284841121121121121121121121127721212828424242428484112112112112112112112112
order12224422224433661212121271414142828141414142828212142428484848471414142828141414142828212142428484848436661212666612123366121212123666121266661212336612121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ3111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ41111-1-11111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ51111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ61111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ71-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i
χ81-11-1i−i11-1-1i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791-11-1i−i11-1-1i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791-11-1i−i11-1-1i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791-11-1i−i11-1-1i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791-11-1i−i11-1-1i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ91-11-1i−i11-1-1i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831-11-1i−i11-1-1i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831-11-1i−i11-1-1i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831-11-1i−i11-1-1i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831-11-1i−i11-1-1i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ101-11-1−ii11-1-1−ii11-1-1−ii−ii1-11-1−ii11-1-1−ii11-1-1−ii−ii1-11-1−ii11-1-1−ii11-1-1−ii−ii1-11-1−ii11-1-1−ii11-1-1−ii−ii1-11-1−ii11-1-1−ii11-1-1−ii−ii
χ111-11-1−ii11-1-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791-11-1−ii11-1-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791-11-1−ii11-1-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791-11-1−ii11-1-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791-11-1−ii11-1-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ121-11-1−ii11-1-1−ii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831-11-1−ii11-1-1−ii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831-11-1−ii11-1-1−ii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831-11-1−ii11-1-1−ii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831-11-1−ii11-1-1−ii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ13333333-1-1-1-1-1-100000000333333-1-1-1-1-1-100000000333333-1-1-1-1-1-100000000333333-1-1-1-1-1-100000000333333-1-1-1-1-1-100000000
χ143333-3-3-1-1-1-111000000003333-3-3-1-1-1-111000000003333-3-3-1-1-1-111000000003333-3-3-1-1-1-111000000003333-3-3-1-1-1-11100000000
χ153-33-33i−3i-1-111−ii000000003-33-33i−3i-1-111−ii000000003-33-33i−3i-1-111−ii000000003-33-33i−3i-1-111−ii000000003-33-33i−3i-1-111−ii00000000
χ163-33-3−3i3i-1-111i−i000000003-33-3−3i3i-1-111i−i000000003-33-3−3i3i-1-111i−i000000003-33-3−3i3i-1-111i−i000000003-33-3−3i3i-1-111i−i00000000
χ1766-2-2002-22-2000000000066-2-2002-22-2000000000066-2-2002-22-2000000000066-2-2002-22-2000000000066-2-2002-22-20000000000
χ1866-2-200-22-22000000000066-2-200-22-22000000000066-2-200-22-22000000000066-2-200-22-22000000000066-2-200-22-220000000000
χ196-6-22002-2-2200000000006-6-22002-2-2200000000006-6-22002-2-2200000000006-6-22002-2-2200000000006-6-22002-2-220000000000
χ206-6-2200-222-200000000006-6-2200-222-200000000006-6-2200-222-200000000006-6-2200-222-200000000006-6-2200-222-20000000000
χ21111111111111111111111111111111111111111111111111111111111111−1+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+i32−1−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
χ22111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−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+i321−1−i321−1−i3211−1−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+i321−1+i321−1+i32−1+i3211
χ23111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+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+i32−1−i321−1−i321−1−i32−1−i3211−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i321−1+i3211−1+i32−1+i32
χ241111-1-11111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ251111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−1−i321−1−i32-1-11+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i321−1+i3211−i321−i32-1-1
χ261111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i321−1−i3211+i321+i32-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−1+i321−1+i32-1-11−i321−i32
χ271-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i−1+i321−i32−1+i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1+i32−1+i321−i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1+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−ζ79−1−i321+i32−1−i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1−i32−1−i321+i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1−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−ζ83
χ281-11-1i−i11-1-1i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791-11-1i−i11-1-1i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791-11-1i−i11-1-1i−i−1−i32−1+i321+i321−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1+i321−i32−1+i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1+i32−1+i321−i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ791−1−i32-11+i32i−iζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1−i321+i32−1−i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1−i32−1−i321+i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i3211−i32-1ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79i−i
χ291-11-1i−i11-1-1i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831-11-1i−i11-1-1i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831-11-1i−i11-1-1i−i−1+i32−1−i321−i321+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1+i321−i32−1+i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1+i32−1+i321−i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1−i3211+i32-1ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83i−i−1−i321+i32−1−i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1−i32−1−i321+i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ831−1+i32-11−i32i−iζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ301-11-1−ii11-1-1−ii11-1-1−ii−ii1-11-1−ii11-1-1−ii11-1-1−ii−ii1-11-1−ii11-1-1−ii11-1-1−ii−ii−1+i321−i32−1+i321−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1+i32−1+i321−i321−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1+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+ζ79−1−i321+i32−1−i321+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−1−i32−1−i321+i321+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−1−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
χ311-11-1−ii11-1-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791-11-1−ii11-1-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791-11-1−ii11-1-1−ii−1−i32−1+i321+i321−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1+i321−i32−1+i321−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1+i32−1+i321−i321−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ791−1−i32-11+i32−ii−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−1−i321+i32−1−i321+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−1−i32−1−i321+i321+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−1+i3211−i32-1−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ii
χ321-11-1−ii11-1-1−ii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831-11-1−ii11-1-1−ii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831-11-1−ii11-1-1−ii−1+i32−1−i321−i321+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−1+i321−i32−1+i321−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1+i32−1+i321−i321−i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−1−i3211+i32-1−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ii−1−i321+i32−1−i321+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−1−i32−1−i321+i321+i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ831−1+i32-11−i32−ii−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ33333333-1-1-1-1-1-100000000333333-1-1-1-1-1-100000000333333-1-1-1-1-1-100000000−3+3i32−3+3i32−3+3i32−3+3i32−3+3i32−3+3i321−i321−i321−i321−i321−i321−i3200000000−3−3i32−3−3i32−3−3i32−3−3i32−3−3i32−3−3i321+i321+i321+i321+i321+i321+i3200000000
χ343333-3-3-1-1-1-111000000003333-3-3-1-1-1-111000000003333-3-3-1-1-1-11100000000−3+3i32−3+3i32−3+3i32−3+3i323−3i323−3i321−i321−i321−i321−i32−1+i32−1+i3200000000−3−3i32−3−3i32−3−3i32−3−3i323+3i323+3i321+i321+i321+i321+i32−1−i32−1−i3200000000
χ353-33-33i−3i-1-111−ii000000003-33-33i−3i-1-111−ii000000003-33-33i−3i-1-111−ii00000000−3+3i323−3i32−3+3i323−3i323ζ19+3ζ31+3ζ43+3ζ55+3ζ67+3ζ79−3ζ19−3ζ31−3ζ43−3ζ55−3ζ67−3ζ791−i321−i32−1+i32−1+i32−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79ζ19+ζ31+ζ43+ζ55+ζ67+ζ7900000000−3−3i323+3i32−3−3i323+3i323ζ11+3ζ23+3ζ47+3ζ59+3ζ71+3ζ83−3ζ11−3ζ23−3ζ47−3ζ59−3ζ71−3ζ831+i321+i32−1−i32−1−i32−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83ζ11+ζ23+ζ47+ζ59+ζ71+ζ8300000000
χ363-33-3−3i3i-1-111i−i000000003-33-3−3i3i-1-111i−i000000003-33-3−3i3i-1-111i−i00000000−3+3i323−3i32−3+3i323−3i32−3ζ19−3ζ31−3ζ43−3ζ55−3ζ67−3ζ793ζ19+3ζ31+3ζ43+3ζ55+3ζ67+3ζ791−i321−i32−1+i32−1+i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ7900000000−3−3i323+3i32−3−3i323+3i32−3ζ11−3ζ23−3ζ47−3ζ59−3ζ71−3ζ833ζ11+3ζ23+3ζ47+3ζ59+3ζ71+3ζ831+i321+i32−1−i32−1−i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ8300000000
χ3766-2-2002-22-2000000000066-2-2002-22-2000000000066-2-2002-22-20000000000−3+3i3−3+3i31−i31−i300−1+i31−i3−1+i31−i30000000000−3−3i3−3−3i31+i31+i300−1−i31+i3−1−i31+i30000000000
χ3866-2-200-22-22000000000066-2-200-22-22000000000066-2-200-22-220000000000−3+3i3−3+3i31−i31−i3001−i3−1+i31−i3−1+i30000000000−3−3i3−3−3i31+i31+i3001+i3−1−i31+i3−1−i30000000000
χ396-6-22002-2-2200000000006-6-22002-2-2200000000006-6-22002-2-220000000000−3+3i33−3i31−i3−1+i300−1+i31−i31−i3−1+i30000000000−3−3i33+3i31+i3−1−i300−1−i31+i31+i3−1−i30000000000
χ406-6-2200-222-200000000006-6-2200-222-200000000006-6-2200-222-20000000000−3+3i33−3i31−i3−1+i3001−i3−1+i3−1+i31−i30000000000−3−3i33+3i31+i3−1−i3001+i3−1−i3−1−i31+i30000000000
χ41111111111111111111111111111111111111111111111111111111111111−1−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−i32−1+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
χ42111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111−1−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−i32−1+i321−1+i321−1+i32−1+i3211−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i321−1−i3211−1−i32−1−i32
χ43111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111111111111−1+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−i321−1+i321−1+i3211−1+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−i321−1−i321−1−i32−1−i3211
χ441111-1-11111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ451111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i321−1+i3211−i321−i32-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−1−i321−1−i32-1-11+i321+i32
χ461111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−1+i321−1+i32-1-11−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i321−1−i3211+i321+i32-1-1
χ471-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i1-11-1i−i11-1-1i−i11-1-1i−ii−i−1−i321+i32−1−i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1−i32−1−i321+i321+i32ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−1−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−ζ83−1+i321−i32−1+i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1+i32−1+i321−i321−i32ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−1+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−ζ79
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Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.