Finite Group Databasebeta

← Group #12066376

Character table — Group #12066376

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111222244444444488222244448888888881616222244448888888881616555510101010202020202020202020404011112222444444444882222444488888888816162222444488888888816165555101010102020202020202020204040
order1222224444444888824510101010102020202020202040404040102051010101010202020202020204040404010202222224444444888824222222444444488882410101010101020202020202020404040401020101010101010202020202020204040404010202222224444444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1
χ3111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1
χ4111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ51111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1
χ61111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11
χ71111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11
χ81111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1
χ9222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000
χ102222-2-222-200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-20000000000
χ1122-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i000000
χ1222-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i000000
χ1322-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i000000
χ1422-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i000000
χ152-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i200
χ162-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i200
χ172-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−2200
χ182-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−200
χ194-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-44000000000000000
χ20111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ22111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ23111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1
χ241111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1-1-1-1-11111-1−i−iii−i−iii-111111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1-1-1-1-11111-1−i−iii−i−iii-11
χ251111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11-1-1-1-11111-1−i−iiiii−i−i1-11111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11-1-1-1-11111-1−i−iiiii−i−i1-1
χ261111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11-1-1-1-11111-1ii−i−i−i−iii1-11111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11-1-1-1-11111-1ii−i−i−i−iii1-1
χ271111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1-1-1-1-11111-1ii−i−iii−i−i-111111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1-1-1-1-11111-1ii−i−iii−i−i-11
χ28222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000
χ292222-2-222-200000000002222-2-222-200000000002222-2-222-20000000000-2-2-2-222-2-2200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-20000000000-2-2-2-222-2-220000000000
χ3022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i000000-2-22200−2i2i0−1−i1+i−1+i1−i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i000000-2-22200−2i2i0−1−i1+i−1+i1−i000000
χ3122-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i000000-2-22200−2i2i01+i−1−i1−i−1+i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i00000022-2-2002i−2i0−1−i1+i−1+i1−i000000-2-22200−2i2i01+i−1−i1−i−1+i000000
χ3222-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i000000-2-222002i−2i0−1+i1−i−1−i1+i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i00000022-2-200−2i2i01−i−1+i1+i−1−i000000-2-222002i−2i0−1+i1−i−1−i1+i000000
χ3322-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i000000-2-222002i−2i01−i−1+i1+i−1−i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i00000022-2-200−2i2i0−1+i1−i−1−i1+i000000-2-222002i−2i01−i−1+i1+i−1−i000000
χ342-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i200-22-22-220000000−i2i2−i2i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i2002-22-22-20000000i2−i2i2−i200-22-22-220000000−i2i2−i2i200
χ352-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i200-22-22-220000000i2−i2i2−i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i200-22-22-220000000i2−i2i2−i200
χ362-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−2200-22-222-20000000−222−2002-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−2200-22-222-20000000−222−200
χ372-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−200-22-222-200000002−2−22002-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−200-22-222-200000002−2−2200
χ384-4-440000000000000004-4-440000000000000004-4-44000000000000000-444-40000000000000004-4-440000000000000004-4-440000000000000004-4-44000000000000000-444-4000000000000000
χ392222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000002222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000
χ402222222222222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+5200000000000000000002222222222222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+520000000000000000000
χ41222222222-2-2-2-22222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+520000000000000000000222222222-2-2-2-22222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+520000000000000000000
χ42222222222-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−520000000000000000000222222222-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−520000000000000000000
χ432222-2-2-2-222i2i−2i−2i2i2i−2i−2i2-2−1+52−1+52−1+52−1+521−521−521−521−52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+521−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−521+5200000000000000000002222-2-2-2-222i2i−2i−2i2i2i−2i−2i2-2−1+52−1+52−1+52−1+521−521−521−521−52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+521−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−521+520000000000000000000
χ442222-2-2-2-222i2i−2i−2i−2i−2i2i2i-22−1+52−1+52−1+52−1+521−521−521−521−52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141+52−1−5200000000000000000002222-2-2-2-222i2i−2i−2i−2i−2i2i2i-22−1+52−1+52−1+52−1+521−521−521−521−52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141+52−1−520000000000000000000
χ452222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-22−1+52−1+52−1+52−1+521−521−521−521−52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−5200000000000000000002222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-22−1+52−1+52−1+52−1+521−521−521−521−52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−520000000000000000000
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χ768-8-88000000000000000−2−252+252+25−2−25000000000000000−2+252−252−25−2+2500000000000000000000000000000000008-8-88000000000000000−2−252+252+25−2−25000000000000000−2+252−252−25−2+250000000000000000000000000000000000
χ771111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ781111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ79111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ80111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ811111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1-1-1-1-11111-1−i−iii−i−iii-11-1-1-1-11111-1−i−iii−i−iii-11-1-1-1-11111-1−i−iii−i−iii-11-1-1-1-11111-1−i−iii−i−iii-11
χ821111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11-1-1-1-11111-1−i−iiiii−i−i1-1-1-1-1-11111-1−i−iiiii−i−i1-1-1-1-1-11111-1−i−iiiii−i−i1-1-1-1-1-11111-1−i−iiiii−i−i1-1
χ831111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11-1-1-1-11111-1ii−i−i−i−iii1-1-1-1-1-11111-1ii−i−i−i−iii1-1-1-1-1-11111-1ii−i−i−i−iii1-1-1-1-1-11111-1ii−i−i−i−iii1-1
χ841111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1-1-1-1-11111-1ii−i−iii−i−i-11-1-1-1-11111-1ii−i−iii−i−i-11-1-1-1-11111-1ii−i−iii−i−i-11-1-1-1-11111-1ii−i−iii−i−i-11
χ85222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000
χ862222-2-222-200000000002222-2-222-200000000002222-2-222-200000000002222-2-222-20000000000-2-2-2-222-2-220000000000-2-2-2-222-2-220000000000-2-2-2-222-2-220000000000-2-2-2-222-2-220000000000
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χ922-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i2002-22-22-20000000−i2i2−i2i200-22-22-220000000i2−i2i2−i200-22-22-220000000i2−i2i2−i200-22-22-220000000i2−i2i2−i200-22-22-220000000i2−i2i2−i200
χ932-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−22002-22-2-2200000002−2−2200-22-222-20000000−222−200-22-222-20000000−222−200-22-222-20000000−222−200-22-222-20000000−222−200
χ942-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−2002-22-2-220000000−222−200-22-222-200000002−2−2200-22-222-200000002−2−2200-22-222-200000002−2−2200-22-222-200000002−2−2200
χ954-4-440000000000000004-4-440000000000000004-4-440000000000000004-4-44000000000000000-444-4000000000000000-444-4000000000000000-444-4000000000000000-444-4000000000000000
χ96111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111
χ971111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1
χ98111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1
χ99111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-111
χ1001111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-11111-1-1-1-11ii−i−iii−i−i1-1-1-1-1-11111-1−i−iii−i−iii-11-1-1-1-11111-1−i−iii−i−iii-11-1-1-1-11111-1−i−iii−i−iii-11-1-1-1-11111-1−i−iii−i−iii-111111-1-1-1-11ii−i−iii−i−i1-1
χ1011111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-111111-1-1-1-11ii−i−i−i−iii-11-1-1-1-11111-1−i−iiiii−i−i1-1-1-1-1-11111-1−i−iiiii−i−i1-1-1-1-1-11111-1−i−iiiii−i−i1-1-1-1-1-11111-1−i−iiiii−i−i1-11111-1-1-1-11ii−i−i−i−iii-11
χ1021111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-111111-1-1-1-11−i−iiiii−i−i-11-1-1-1-11111-1ii−i−i−i−iii1-1-1-1-1-11111-1ii−i−i−i−iii1-1-1-1-1-11111-1ii−i−i−i−iii1-1-1-1-1-11111-1ii−i−i−i−iii1-11111-1-1-1-11−i−iiiii−i−i-11
χ1031111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-11111-1-1-1-11−i−iii−i−iii1-1-1-1-1-11111-1ii−i−iii−i−i-11-1-1-1-11111-1ii−i−iii−i−i-11-1-1-1-11111-1ii−i−iii−i−i-11-1-1-1-11111-1ii−i−iii−i−i-111111-1-1-1-11−i−iii−i−iii1-1
χ104222222-2-2-20000000000222222-2-2-20000000000222222-2-2-20000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000-2-2-2-2-2-22220000000000222222-2-2-20000000000
χ1052222-2-222-200000000002222-2-222-200000000002222-2-222-20000000000-2-2-2-222-2-220000000000-2-2-2-222-2-220000000000-2-2-2-222-2-220000000000-2-2-2-222-2-2200000000002222-2-222-20000000000
χ10622-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i00000022-2-2002i−2i01+i−1−i1−i−1+i000000-2-22200−2i2i0−1−i1+i−1+i1−i000000-2-22200−2i2i0−1−i1+i−1+i1−i000000-2-22200−2i2i0−1−i1+i−1+i1−i000000-2-22200−2i2i0−1−i1+i−1+i1−i00000022-2-2002i−2i01+i−1−i1−i−1+i000000
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χ1392222-2-2-2-222i2i−2i−2i−2i−2i2i2i-22−1−52−1−52−1−52−1−521+521+521+521+52−1−52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ141+52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ381−52−1+520000000000000000000-2-2-2-22222-2−2i−2i2i2i2i2i−2i−2i2-21+521+521+521+52−1−52−1−52−1−52−1−521+52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−1−521+521−521−521−521−52−1+52−1+52−1+52−1+521−52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−1+521−520000000000000000000
χ1402222-2-2-2-22−2i−2i2i2i2i2i−2i−2i-22−1−52−1−52−1−52−1−521+521+521+521+52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+520000000000000000000-2-2-2-22222-22i2i−2i−2i−2i−2i2i2i2-21+521+521+521+52−1−52−1−52−1−52−1−521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−521+521−521−521−521−52−1+52−1+52−1+52−1+521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+521−520000000000000000000
χ1412222-2-2-2-22−2i−2i2i2i−2i−2i2i2i2-2−1−52−1−52−1−52−1−521+521+521+521+52−1−52ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14−1−521+52−1+52−1+52−1+52−1+521−521−521−521−52−1+52ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38−1+521−520000000000000000000-2-2-2-22222-22i2i−2i−2i2i2i−2i−2i-221+521+521+521+52−1−52−1−52−1−52−1−521+52−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ14−ζ6−ζ14−ζ6−ζ14ζ6+ζ14ζ6+ζ141+52−1−521−521−521−521−52−1+52−1+52−1+52−1+521−52−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ38−ζ22−ζ38−ζ22−ζ38ζ22+ζ38ζ22+ζ381−52−1+520000000000000000000
χ142444444-4-4-40000000000−1−5−1−5−1−5−1−5−1−5−1−51+51+51+50000000000−1+5−1+5−1+5−1+5−1+5−1+51−51−51−500000000000000000000000000000-4-4-4-4-4-444400000000001+51+51+51+51+51+5−1−5−1−5−1−500000000001−51−51−51−51−51−5−1+5−1+5−1+500000000000000000000000000000
χ1434444-4-444-40000000000−1−5−1−5−1−5−1−51+51+5−1−5−1−51+50000000000−1+5−1+5−1+5−1+51−51−5−1+5−1+51−500000000000000000000000000000-4-4-4-444-4-4400000000001+51+51+51+5−1−5−1−51+51+5−1−500000000001−51−51−51−5−1+5−1+51−51−5−1+500000000000000000000000000000
χ14444-4-4004i−4i02+2i−2−2i2−2i−2+2i000000−1−5−1−51+51+500−2ζ6−2ζ142ζ6+2ζ140−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36000000−1+5−1+51−51−500−2ζ22−2ζ382ζ22+2ζ380−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ380000000000000000000000000-4-44400−4i4i0−2−2i2+2i−2+2i2−2i0000001+51+5−1−5−1−5002ζ6+2ζ14−2ζ6−2ζ140ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ360000001−51−5−1+5−1+5002ζ22+2ζ38−2ζ22−2ζ380ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ380000000000000000000000000
χ14544-4-4004i−4i0−2−2i2+2i−2+2i2−2i000000−1−5−1−51+51+500−2ζ6−2ζ142ζ6+2ζ140ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36000000−1+5−1+51−51−500−2ζ22−2ζ382ζ22+2ζ380ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ38ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ380000000000000000000000000-4-44400−4i4i02+2i−2−2i2−2i−2+2i0000001+51+5−1−5−1−5002ζ6+2ζ14−2ζ6−2ζ140−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ360000001−51−5−1+5−1+5002ζ22+2ζ38−2ζ22−2ζ380−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ38−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ380000000000000000000000000
χ14644-4-400−4i4i02−2i−2+2i2+2i−2−2i000000−1−5−1−51+51+5002ζ6+2ζ14−2ζ6−2ζ140−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ36000000−1+5−1+51−51−5002ζ22+2ζ38−2ζ22−2ζ380−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ380000000000000000000000000-4-444004i−4i0−2+2i2−2i−2−2i2+2i0000001+51+5−1−5−1−500−2ζ6−2ζ142ζ6+2ζ140ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ360000001−51−5−1+5−1+500−2ζ22−2ζ382ζ22+2ζ380ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ380000000000000000000000000
χ14744-4-400−4i4i0−2+2i2−2i−2−2i2+2i000000−1−5−1−51+51+5002ζ6+2ζ14−2ζ6−2ζ140ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14−ζ36ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14−ζ36000000−1+5−1+51−51−5002ζ22+2ζ38−2ζ22−2ζ380ζ12−ζ22+ζ28−ζ38−ζ12+ζ22−ζ28+ζ38ζ12+ζ22+ζ28+ζ38−ζ12−ζ22−ζ28−ζ380000000000000000000000000-4-444004i−4i02−2i−2+2i2+2i−2−2i0000001+51+5−1−5−1−500−2ζ6−2ζ142ζ6+2ζ140−ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14+ζ36−ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14+ζ360000001−51−5−1+5−1+500−2ζ22−2ζ382ζ22+2ζ380−ζ12+ζ22−ζ28+ζ38ζ12−ζ22+ζ28−ζ38−ζ12−ζ22−ζ28−ζ38ζ12+ζ22+ζ28+ζ380000000000000000000000000
χ1484-44-44-400000002i2−2i22i2−2i200−1−51+5−1−51+5−1−51+50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900−1+51−5−1+51−5−1+51−50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000-44-44-440000000−2i22i2−2i22i2001+5−1−51+5−1−51+5−1−50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39001−5−1+51−5−1+51−5−1+50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000
χ1494-44-44-40000000−2i22i2−2i22i200−1−51+5−1−51+5−1−51+50000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900−1+51−5−1+51−5−1+51−50000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37000000000000000000000-44-44-4400000002i2−2i22i2−2i2001+5−1−51+5−1−51+5−1−50000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39001−5−1+51−5−1+51−5−1+50000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37000000000000000000000
χ1504-44-4-44000000022−22−222200−1−51+5−1−51+51+5−1−50000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900−1+51−5−1+51−51−5−1+50000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000-44-444-40000000−222222−22001+5−1−51+5−1−5−1−51+50000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39001−5−1+51−5−1+5−1+51−50000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000
χ1514-44-4-440000000−222222−2200−1−51+5−1−51+51+5−1−50000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900−1+51−5−1+51−51−5−1+50000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000-44-444-4000000022−22−2222001+5−1−51+5−1−5−1−51+50000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39001−5−1+51−5−1+5−1+51−50000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000
χ1528-8-88000000000000000−2−252+252+25−2−25000000000000000−2+252−252−25−2+250000000000000000000000000000000000-888-80000000000000002+25−2−25−2−252+250000000000000002−25−2+25−2+252−250000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.