Finite Group Databasebeta

← Group #12106922

Character table — Group #12106922

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1111222244444444488111122224444444448822224444888888888161622224444888888888161622224444888888888161622224444888888888161655551010101020202020202020202040405555101010102020202020202020204040
order1222444444444888844222244444444488884451010102020202020202020204040404020205101010202020202020202020404040402020101010102020202020202020204040404020201010101020202020202020202040404040202044444444444448888444444444444444888844
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
χ311111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-1
χ411111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-111
χ511111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-1
χ611111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-11
χ711111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-11
χ811111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-1
χ92222-222-200-2000000002222-222-200-2000000002222-222-200-2000000002222-222-200-2000000002222-222-200-2000000002222-222-200-2000000002222-222-200-2000000002222-222-200-200000000
χ102222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-200200000000
χ1122-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-2000000000
χ1222-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-22000000000
χ1322-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i000000
χ1422-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i000000
χ152-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i200
χ162-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i200
χ172-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i200
χ182-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i200
χ194-44-40000000000000004-44-40000000000000004-44-40000000000000004-44-40000000000000004-44-40000000000000004-44-40000000000000004-44-40000000000000004-44-4000000000000000
χ20111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ211111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ2211111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-111
χ2311111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ2411111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-1-1-1-1-1-111-1-1-1111-1-111-11-1-1-1-1-111-1-1-1111-1-111-11
χ2511111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-11-1-1-1-1-111-1-1-111111-1-11-1-1-1-1-1-111-1-1-111111-1-11-1
χ2611111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-11-1-1-1-1-111-1111-1-1-1-1111-1-1-1-1-1-111-1111-1-1-1-1111-1
χ2711111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-1-1-1-1-1-111-1111-1-111-1-1-11-1-1-1-1-111-1111-1-111-1-1-11
χ282222-222-200-2000000002222-222-200-2000000002222-222-200-2000000002222-222-200-2000000002222-222-200-2000000002222-222-200-200000000-2-2-2-22-2-2200200000000-2-2-2-22-2-2200200000000
χ292222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-2002000000002222-2-2-2-200200000000-2-2-2-2222200-200000000-2-2-2-2222200-200000000
χ3022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-200000000022-2-2200-22-2000000000-2-222-2002-22000000000-2-222-2002-22000000000
χ3122-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-2200000000022-2-2200-2-22000000000-2-222-20022-2000000000-2-222-20022-2000000000
χ3222-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i000000-2-222200-2000−2i2i000000-2-222200-2000−2i2i000000
χ3322-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i000000-2-222200-20002i−2i000000-2-222200-20002i−2i000000
χ342-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i200-222-20−2i2i000000−22−i2i200-222-20−2i2i000000−22−i2i200
χ352-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i200-222-20−2i2i0000002−2i2−i200-222-20−2i2i0000002−2i2−i200
χ362-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i200-222-202i−2i000000−22i2−i200-222-202i−2i000000−22i2−i200
χ372-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i200-222-202i−2i0000002−2−i2i200-222-202i−2i0000002−2−i2i200
χ384-44-40000000000000004-44-40000000000000004-44-40000000000000004-44-40000000000000004-44-40000000000000004-44-4000000000000000-44-44000000000000000-44-44000000000000000
χ391111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ401111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ4111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-111iiiiiiii−i−ii−i−iiiii−i−i−i−i−i−i−i−i−i−iii−iii−i−i−i−iii
χ4211111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1111111-1-1iiiiiiii−i−ii−i−i−i−i−i−iii−i−i−i−i−i−i−i−iii−iiiiiii−i−i
χ4311111-1-1111-1-1-111-1-11-1-1-1-1-1-111-1-1-1111-1-111-1111111-1-1111-1-1-111-1-11-111111-1-1111-1-1-111-1-11-1-1-1-1-1-111-1-1-1111-1-111-11-1-1-1-1-111-1-1-1111-1-111-11iiiii−i−iiii−i−i−iii−i−ii−i−i−i−i−i−iii−i−i−iiii−i−iii−ii
χ4411111-1-1111-1-1-1-1-111-11-1-1-1-1-111-1-1-111111-1-11-111111-1-1111-1-1-1-1-111-1111111-1-1111-1-1-1-1-111-11-1-1-1-1-111-1-1-111111-1-11-1-1-1-1-1-111-1-1-111111-1-11-1iiiii−i−iiii−i−i−i−i−iii−ii−i−i−i−i−iii−i−i−iiiiii−i−ii−i
χ4511111-1-11-1-1-11111-1-1-11-1-1-1-1-111-1111-1-1-1-1111-111111-1-11-1-1-11111-1-1-1111111-1-11-1-1-11111-1-1-11-1-1-1-1-111-1111-1-1-1-1111-1-1-1-1-1-111-1111-1-1-1-1111-1iiiii−i−ii−i−i−iiiii−i−i−ii−i−i−i−i−iii−iiii−i−i−i−iiii−i
χ4611111-1-11-1-1-111-1-1111-1-1-1-1-1-111-1111-1-111-1-1-1111111-1-11-1-1-111-1-1111-111111-1-11-1-1-111-1-1111-1-1-1-1-1-111-1111-1-111-1-1-11-1-1-1-1-111-1111-1-111-1-1-11iiiii−i−ii−i−i−iii−i−iiii−i−i−i−i−i−iii−iiii−i−iii−i−i−ii
χ472222-222-200-200000000-2-2-2-22-2-22002000000002222-222-200-2000000002222-222-200-200000000-2-2-2-22-2-2200200000000-2-2-2-22-2-22002000000002i2i2i2i−2i2i2i−2i00−2i00000000−2i−2i−2i−2i2i−2i−2i2i002i00000000
χ482222-2-2-2-200200000000-2-2-2-2222200-2000000002222-2-2-2-2002000000002222-2-2-2-200200000000-2-2-2-2222200-200000000-2-2-2-2222200-2000000002i2i2i2i−2i−2i−2i−2i002i00000000−2i−2i−2i−2i2i2i2i2i00−2i00000000
χ4922-2-2200-22-2000000000-2-222-2002-2200000000022-2-2200-22-200000000022-2-2200-22-2000000000-2-222-2002-22000000000-2-222-2002-220000000002i2i−2i−2i2i00−2i2i−2i000000000−2i−2i2i2i−2i002i−2i2i000000000
χ5022-2-2200-2-22000000000-2-222-20022-200000000022-2-2200-2-2200000000022-2-2200-2-22000000000-2-222-20022-2000000000-2-222-20022-20000000002i2i−2i−2i2i00−2i−2i2i000000000−2i−2i2i2i−2i002i2i−2i000000000
χ5122-2-2-20020002i−2i000000-2-222200-2000−2i2i00000022-2-2-20020002i−2i00000022-2-2-20020002i−2i000000-2-222200-2000−2i2i000000-2-222200-2000−2i2i0000002i2i−2i−2i−2i002i000-22000000−2i−2i2i2i2i00−2i0002-2000000
χ5222-2-2-2002000−2i2i000000-2-222200-20002i−2i00000022-2-2-2002000−2i2i00000022-2-2-2002000−2i2i000000-2-222200-20002i−2i000000-2-222200-20002i−2i0000002i2i−2i−2i−2i002i0002-2000000−2i−2i2i2i2i00−2i000-22000000
χ532-2-2202i−2i0000002−2i2−i200-222-20−2i2i000000−22−i2i2002-2-2202i−2i0000002−2i2−i2002-2-2202i−2i0000002−2i2−i200-222-20−2i2i000000−22−i2i200-222-20−2i2i000000−22−i2i2002i−2i−2i2i0-22000000i2−i2−2200−2i2i2i−2i02-2000000−i2i22−200
χ542-2-2202i−2i000000−22−i2i200-222-20−2i2i0000002−2i2−i2002-2-2202i−2i000000−22−i2i2002-2-2202i−2i000000−22−i2i200-222-20−2i2i0000002−2i2−i200-222-20−2i2i0000002−2i2−i2002i−2i−2i2i0-22000000−i2i22−200−2i2i2i−2i02-2000000i2−i2−2200
χ552-2-220−2i2i0000002−2−i2i200-222-202i−2i000000−22i2−i2002-2-220−2i2i0000002−2−i2i2002-2-220−2i2i0000002−2−i2i200-222-202i−2i000000−22i2−i200-222-202i−2i000000−22i2−i2002i−2i−2i2i02-2000000i2−i22−200−2i2i2i−2i0-22000000−i2i2−2200
χ562-2-220−2i2i000000−22i2−i200-222-202i−2i0000002−2−i2i2002-2-220−2i2i000000−22i2−i2002-2-220−2i2i000000−22i2−i200-222-202i−2i0000002−2−i2i200-222-202i−2i0000002−2−i2i2002i−2i−2i2i02-2000000−i2i2−2200−2i2i2i−2i0-22000000i2−i22−200
χ574-44-4000000000000000-44-440000000000000004-44-40000000000000004-44-4000000000000000-44-44000000000000000-44-440000000000000004i−4i4i−4i000000000000000−4i4i−4i4i000000000000000
χ581111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiii
χ591111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i
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χ6111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-111111111-1-11-1-1-1-1-1-11111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1111111-1-1−i−i−i−i−i−i−i−iii−iiiiiii−i−iiiiiiiii−i−ii−i−i−i−i−i−iii
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χ1304-4-4404i−4i000000−2222−2i22i200-444-40−4i4i00000022−222i2−2i200−1+51−51−5−1+50−2ζ22−2ζ382ζ22+2ζ38000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700−1−51+51+5−1−50−2ζ6−2ζ142ζ6+2ζ14000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39001−5−1+5−1+51−502ζ22+2ζ38−2ζ22−2ζ38000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37001+5−1−5−1−51+502ζ6+2ζ14−2ζ6−2ζ14000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000000000000000000000
χ1314-4-440−4i4i00000022−22−2i22i200-444-404i−4i000000−22222i2−2i200−1+51−51−5−1+502ζ22+2ζ38−2ζ22−2ζ38000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700−1−51+51+5−1−502ζ6+2ζ14−2ζ6−2ζ14000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39001−5−1+5−1+51−50−2ζ22−2ζ382ζ22+2ζ38000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37001+5−1−5−1−51+50−2ζ6−2ζ142ζ6+2ζ14000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000000000000000000000000
χ1324-4-440−4i4i000000−22222i2−2i200-444-404i−4i00000022−22−2i22i200−1+51−51−5−1+502ζ22+2ζ38−2ζ22−2ζ38000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700−1−51+51+5−1−502ζ6+2ζ14−2ζ6−2ζ14000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39001−5−1+5−1+51−50−2ζ22−2ζ382ζ22+2ζ38000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37001+5−1−5−1−51+50−2ζ6−2ζ142ζ6+2ζ14000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000000000000000000000000
χ1338-88-8000000000000000-88-88000000000000000−2+252−25−2+252−25000000000000000−2−252+25−2−252+250000000000000002−25−2+252−25−2+250000000000000002+25−2−252+25−2−2500000000000000000000000000000000000000000000000000000
χ1342222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−521−5200000000000000000000000000000000000000
χ1352222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+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+521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000000000000000000000000
χ13622222222-2-22-2-22222-2-2-2-2-2-2-2-2-2-222-222-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+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+521−521−52−1+521−521−52−1+52−1+52−1+52−1+521−521−521+521+521+521+521+521+521+521+52−1−52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−521−521−521−521−521−521−521−521−52−1+52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+5200000000000000000000000000000000000000
χ13722222222-2-22-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+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+521−521−52−1+521−521−521−521−521−521−52−1+52−1+521+521+521+521+521+521+521+521+52−1−52−1−521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521−521−521−521−521−521−521−521−52−1+52−1+521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−5200000000000000000000000000000000000000
χ13822222-2-2222-2-2-222-2-22-2-2-2-2-2-222-2-2-2222-2-222-22−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−52−1−521+521+52−1−521+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+52−1+521−521−52−1+521−521+521+521+521+521+52−1−52−1−521+521+521+52−1−52−1−52−1−521+521+52−1−52−1−521+52−1−521−521−521−521−521−52−1+52−1+521−521−521−52−1+52−1+52−1+521−521−52−1+52−1+521−52−1+5200000000000000000000000000000000000000
χ13922222-2-2222-2-2-2-2-222-22-2-2-2-2-222-2-2-222222-2-22-2−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+521+521+52−1−52−1−521+52−1−52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−521−521−52−1+52−1+521−52−1+521+521+521+521+521+52−1−52−1−521+521+521+52−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521−521−521−521−521−52−1+52−1+521−521−521−52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−5200000000000000000000000000000000000000
χ14022222-2-22-2-2-22222-2-2-22-2-2-2-2-222-2222-2-2-2-2222-2−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+521+521+521+521+521+52−1−52−1−521+52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−521+521−521−521−521−521−52−1+52−1+521−52−1+52−1+52−1+521−521−521−521−52−1+52−1+52−1+521−5200000000000000000000000000000000000000
χ14122222-2-22-2-2-222-2-2222-2-2-2-2-2-222-2222-2-222-2-2-22−1−52−1−52−1−52−1−52−1−521+521+52−1−521+521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52−1+52−1+52−1+52−1+52−1+521−521−52−1+521−521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521+521+521+521+521+52−1−52−1−521+52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+52−1−521−521−521−521−521−52−1+52−1+521−52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−52−1+5200000000000000000000000000000000000000
χ1424444-444-400-400000000-4-4-4-44-4-4400400000000−1−5−1−5−1−5−1−51+5−1−5−1−51+5001+500000000−1+5−1+5−1+5−1+51−5−1+5−1+51−5001−5000000001+51+51+51+5−1−51+51+5−1−500−1−5000000001−51−51−51−5−1+51−51−5−1+500−1+50000000000000000000000000000000000000000000000
χ1434444-4-4-4-400400000000-4-4-4-4444400-400000000−1−5−1−5−1−5−1−51+51+51+51+500−1−500000000−1+5−1+5−1+5−1+51−51−51−51−500−1+5000000001+51+51+51+5−1−5−1−5−1−5−1−5001+5000000001−51−51−51−5−1+5−1+5−1+5−1+5001−50000000000000000000000000000000000000000000000
χ14444-4-4400-44-4000000000-4-444-4004-44000000000−1−5−1−51+51+5−1−5001+5−1−51+5000000000−1+5−1+51−51−5−1+5001−5−1+51−50000000001+51+5−1−5−1−51+500−1−51+5−1−50000000001−51−5−1+5−1+51−500−1+51−5−1+500000000000000000000000000000000000000000000000
χ14544-4-4400-4-44000000000-4-444-40044-4000000000−1−5−1−51+51+5−1−5001+51+5−1−5000000000−1+5−1+51−51−5−1+5001−51−5−1+50000000001+51+5−1−5−1−51+500−1−5−1−51+50000000001−51−5−1+5−1+51−500−1+5−1+51−500000000000000000000000000000000000000000000000
χ14644-4-4-40040004i−4i000000-4-444400-4000−4i4i000000−1−5−1−51+51+51+500−1−5000−2ζ6−2ζ142ζ6+2ζ14000000−1+5−1+51−51−51−500−1+5000−2ζ22−2ζ382ζ22+2ζ380000001+51+5−1−5−1−5−1−5001+50002ζ6+2ζ14−2ζ6−2ζ140000001−51−5−1+5−1+5−1+5001−50002ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000000000
χ14744-4-4-4004000−4i4i000000-4-444400-40004i−4i000000−1−5−1−51+51+51+500−1−50002ζ6+2ζ14−2ζ6−2ζ14000000−1+5−1+51−51−51−500−1+50002ζ22+2ζ38−2ζ22−2ζ380000001+51+5−1−5−1−5−1−5001+5000−2ζ6−2ζ142ζ6+2ζ140000001−51−5−1+5−1+5−1+5001−5000−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000000000
χ1484-4-4404i−4i00000022−222i2−2i200-444-40−4i4i000000−2222−2i22i200−1−51+51+5−1−50−2ζ6−2ζ142ζ6+2ζ14000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900−1+51−51−5−1+50−2ζ22−2ζ382ζ22+2ζ38000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37001+5−1−5−1−51+502ζ6+2ζ14−2ζ6−2ζ14000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39001−5−1+5−1+51−502ζ22+2ζ38−2ζ22−2ζ38000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000000000000000
χ1494-4-4404i−4i000000−2222−2i22i200-444-40−4i4i00000022−222i2−2i200−1−51+51+5−1−50−2ζ6−2ζ142ζ6+2ζ14000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900−1+51−51−5−1+50−2ζ22−2ζ382ζ22+2ζ38000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37001+5−1−5−1−51+502ζ6+2ζ14−2ζ6−2ζ14000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39001−5−1+5−1+51−502ζ22+2ζ38−2ζ22−2ζ38000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000000000000000
χ1504-4-440−4i4i00000022−22−2i22i200-444-404i−4i000000−22222i2−2i200−1−51+51+5−1−502ζ6+2ζ14−2ζ6−2ζ14000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ3900−1+51−51−5−1+502ζ22+2ζ38−2ζ22−2ζ38000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37001+5−1−5−1−51+50−2ζ6−2ζ142ζ6+2ζ14000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39001−5−1+5−1+51−50−2ζ22−2ζ382ζ22+2ζ38000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000000000000000000000000
χ1514-4-440−4i4i000000−22222i2−2i200-444-404i−4i00000022−22−2i22i200−1−51+51+5−1−502ζ6+2ζ14−2ζ6−2ζ14000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ3900−1+51−51−5−1+502ζ22+2ζ38−2ζ22−2ζ38000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37001+5−1−5−1−51+50−2ζ6−2ζ142ζ6+2ζ14000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39001−5−1+5−1+51−50−2ζ22−2ζ382ζ22+2ζ38000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000000000000000000000000
χ1528-88-8000000000000000-88-88000000000000000−2−252+25−2−252+25000000000000000−2+252−25−2+252−250000000000000002+25−2−252+25−2−250000000000000002−25−2+252−25−2+2500000000000000000000000000000000000000000000000000000

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