Finite Group Databasebeta

← Group #12001410

Character table — Group #12001410

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size111122222222222222224444444444444444444444488888888888888888888888816161616161616161616161616161616161616164040404040404040404040408080
order1222224444445510101010101044410101010202020202020202020202020202020208888202020204040404040404040404040404040404024441010101020202020202020202020202044448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ81111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111
χ9222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000
χ10222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+5200000000000000
χ11222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000000000000
χ12222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000
χ13222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+522222−1−52−1+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+522222−1−52−1−52−1+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+5200000000000000
χ14222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+522222−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−5200000000000000
χ15222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000000000000
χ16222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000
χ1722222222-222-222222222-2-2-22222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ1822222222-222-222222222-2-2-22222-2-2-2-22222-2-2-2-22222-2-222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000
χ1922222222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-21−521+521−521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000000000
χ2022222222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-21−521+521−521+52−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000000000
χ2122222222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-2221−521+521−521+521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600000000000000
χ2222222222-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-2221−521+521−521+521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600000000000000
χ2322222222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5222-2-21+521−521+521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000000000
χ2422222222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5222-2-21+521−521+521−52−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000000000
χ2522222222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-2221+521−521+521−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800000000000000
χ2622222222-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-2221+521−521+521−521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800000000000000
χ27222222-2-22-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000022-2-2000000000000000000000000000000000000000022-2-2000000
χ28222222-2-22-2-22222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000022-2-20000000000000000000000000000000000000000-2-222000000
χ29222222-2-2-2-2-2-222222222-2222222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2220000000000000000000000000000000000000000000022-2-200
χ30222222-2-2-2-2-2-222222222-2222222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-22200000000000000000000000000000000000000000000-2-22200
χ312222-2-2222-2-2222222222-2-22-2-2-2-222222222-2-2-2-2-2-2-2-20000-2-2220000000000000000000000000000000000000000000000002-2
χ322222-2-2222-2-2222222222-2-22-2-2-2-222222222-2-2-2-2-2-2-2-20000-2-222000000000000000000000000000000000000000000000000-22
χ332222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2000022-2-20000000000000000000000000000000000002i2i−2i−2i0000000000
χ342222-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-222222222-2-2-2-2000022-2-2000000000000000000000000000000000000−2i−2i2i2i0000000000
χ352222-2-2-2-2222222222222-22-2-2-2-2-22222-2-2-2-2222222220000-2-2-2-200000000000000002-2002222-2-2-2-20000000000000000000000
χ362222-2-2-2-2222222222222-22-2-2-2-2-22222-2-2-2-2222222220000-2-2-2-20000000000000000-2200-2-2-2-222220000000000000000000000
χ372222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600000000000000
χ382222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600000000000000
χ392222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ362-200−1+52−1+52−1−52−1−521−521−521+521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ3600000000000000
χ402222-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36-22001−521−521+521+52−1+52−1+52−1−52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ3600000000000000
χ412222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2800000000000000
χ422222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800000000000000
χ432222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ282-200−1−52−1−52−1+52−1+521+521+521−521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800000000000000
χ442222-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28-22001+521+521−521−52−1−52−1−52−1+52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2800000000000000
χ452222-2-2-2-2-222-2222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000022220000000000000000002-2000000002-2-222-2-2200000000000000
χ462222-2-2-2-2-222-2222222222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200002222000000000000000000-2200000000-222-2-222-200000000000000
χ472222-2-2-2-2-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36002-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+521−521−52−1+52−1−521+521+52−1−5200000000000000
χ482222-2-2-2-2-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600-22−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−52−1+52−1+521−521+52−1−52−1−521+5200000000000000
χ492222-2-2-2-2-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36002-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+521−521−52−1+52−1−521+521+52−1−5200000000000000
χ502222-2-2-2-2-222-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600-22ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−52−1+52−1+521−521+52−1−52−1−521+5200000000000000
χ512222-2-2-2-2-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28002-2−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−521+521+52−1−52−1+521−521−52−1+5200000000000000
χ522222-2-2-2-2-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ2800-22ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+52−1−52−1−521+521−52−1+52−1+521−5200000000000000
χ532222-2-2-2-2-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28002-2ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−521+521+52−1−52−1+521−521−52−1+5200000000000000
χ542222-2-2-2-2-222-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-221+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ2800-22−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+52−1−52−1−521+521−52−1+52−1+521−5200000000000000
χ5522-2-2-222-202-2022-2-222-2-20002-22-200002-22-200002-22-2002i−2i000000002i−2i2i−2i00002i−2i2i−2i000000000000000000000000i2−i2i2−i22−22−200
χ5622-2-2-222-202-2022-2-222-2-20002-22-200002-22-200002-22-2002i−2i000000002i−2i2i−2i00002i−2i2i−2i000000000000000000000000−i2i2−i2i2−22−2200
χ5722-2-2-222-202-2022-2-222-2-20002-22-200002-22-200002-22-200−2i2i00000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000i2−i2i2−i2−22−2200
χ5822-2-2-222-202-2022-2-222-2-20002-22-200002-22-200002-22-200−2i2i00000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000−i2i2−i2i22−22−200
χ5922-2-2-22-220-22022-2-222-2-20002-22-20000-22-220000-22-222i−2i0000002i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000i2−i2−i2i22−2−2200
χ6022-2-2-22-220-22022-2-222-2-20002-22-20000-22-220000-22-222i−2i0000002i−2i2i−2i00002i−2i2i−2i0000000000000000000000000000−i2i2i2−i2−222−200
χ6122-2-2-22-220-22022-2-222-2-20002-22-20000-22-220000-22-22−2i2i000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000i2−i2−i2i2−222−200
χ6222-2-2-22-220-22022-2-222-2-20002-22-20000-22-220000-22-22−2i2i000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000000000000000−i2i2i2−i22−2−2200
χ63444444-4-44-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54-4-4−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+51−51−51+51+50000−1+5−1−51−51+500000000000000000000000000000000000000000000000000
χ64444444-4-44-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54-4-4−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−51+51+51−51−50000−1−5−1+51+51−500000000000000000000000000000000000000000000000000
χ65444444-4-4-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-444−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500001−51+5−1+5−1−500000000000000000000000000000000000000000000000000
χ66444444-4-4-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-444−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500001+51−5−1−5−1+500000000000000000000000000000000000000000000000000
χ674444-4-4444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-441−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500001−51+5−1+5−1−500000000000000000000000000000000000000000000000000
χ684444-4-4444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-441+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500001+51−5−1−5−1+500000000000000000000000000000000000000000000000000
χ694444-4-444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544-41−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+50000−1+5−1−51−51+500000000000000000000000000000000000000000000000000
χ704444-4-444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544-41+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−50000−1−5−1+51+51−500000000000000000000000000000000000000000000000000
χ7144-4-44-44-40-44044-4-444-4-4000-44-4400004-44-40000-44-440000000000000000000000000000000000000000000000000000000000
χ7244-4-44-44-40-440−1+5−1−51−51+5−1+5−1−51−51+50001−5−1+51+5−1−50000−1+51−5−1−51+500001−5−1+51+5−1−500000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ7344-4-44-44-40-440−1+5−1−51−51+5−1+5−1−51−51+50001−5−1+51+5−1−50000−1+51−5−1−51+500001−5−1+51+5−1−5000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ7444-4-44-44-40-440−1−5−1+51+51−5−1−5−1+51+51−50001+5−1−51−5−1+50000−1−51+5−1+51−500001+5−1−51−5−1+5000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000
χ7544-4-44-44-40-440−1−5−1+51+51−5−1−5−1+51+51−50001+5−1−51−5−1+50000−1−51+5−1+51−500001+5−1−51−5−1+500000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000
χ7644-4-44-4-4404-4044-4-444-4-4000-44-440000-44-4400004-44-40000000000000000000000000000000000000000000000000000000000
χ7744-4-44-4-4404-40−1+5−1−51−51+5−1+5−1−51−51+50001−5−1+51+5−1−500001−5−1+51+5−1−50000−1+51−5−1−51+5000000000000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000
χ7844-4-44-4-4404-40−1+5−1−51−51+5−1+5−1−51−51+50001−5−1+51+5−1−500001−5−1+51+5−1−50000−1+51−5−1−51+50000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ3800002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000
χ7944-4-44-4-4404-40−1−5−1+51+51−5−1−5−1+51+51−50001+5−1−51−5−1+500001+5−1−51−5−1+50000−1−51+5−1+51−50000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ140000−2ζ22+2ζ382ζ22−2ζ382ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000000
χ8044-4-44-4-4404-40−1−5−1+51+51−5−1−5−1+51+51−50001+5−1−51−5−1+500001+5−1−51−5−1+50000−1−51+5−1+51−5000000000000−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ1400002ζ22−2ζ38−2ζ22+2ζ38−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000000
χ8144-4-4-444-404-40−1+5−1−51−51+5−1+5−1−51−51+5000−1+51−5−1−51+50000−1+51−5−1−51+50000−1+51−5−1−51+5004i−4i00000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000
χ8244-4-4-444-404-40−1+5−1−51−51+5−1+5−1−51−51+5000−1+51−5−1−51+50000−1+51−5−1−51+50000−1+51−5−1−51+500−4i4i000000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000
χ8344-4-4-444-404-40−1−5−1+51+51−5−1−5−1+51+51−5000−1−51+5−1+51−50000−1−51+5−1+51−50000−1−51+5−1+51−5004i−4i00000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000
χ8444-4-4-444-404-40−1−5−1+51+51−5−1−5−1+51+51−5000−1−51+5−1+51−50000−1−51+5−1+51−50000−1−51+5−1+51−500−4i4i000000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000
χ8544-4-4-44-440-440−1+5−1−51−51+5−1+5−1−51−51+5000−1+51−5−1−51+500001−5−1+51+5−1−500001−5−1+51+5−1−54i−4i000000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ380000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ1400000000000000000000000000000000000000
χ8644-4-4-44-440-440−1+5−1−51−51+5−1+5−1−51−51+5000−1+51−5−1−51+500001−5−1+51+5−1−500001−5−1+51+5−1−5−4i4i0000002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400000000000000000000000000000000000000
χ8744-4-4-44-440-440−1−5−1+51+51−5−1−5−1+51+51−5000−1−51+5−1+51−500001+5−1−51−5−1+500001+5−1−51−5−1+54i−4i000000−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ140000−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ3800000000000000000000000000000000000000
χ8844-4-4-44-440-440−1−5−1+51+51−5−1−5−1+51+51−5000−1−51+5−1+51−500001+5−1−51−5−1+500001+5−1−51−5−1+5−4i4i0000002ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ1400002ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ3800000000000000000000000000000000000000
χ894-44-40000400-44444-4-4-4-400000004-44-4000000000000000000000000000000000000000000000000000000002-22-20000000000
χ904-44-40000400-44444-4-4-4-400000004-44-400000000000000000000000000000000000000000000000000000000-22-220000000000
χ914-44-40000-40044444-4-4-4-40000000-44-44000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000000000
χ924-44-40000-40044444-4-4-4-40000000-44-4400000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000000000
χ938-88-80000800-8−2+25−2−25−2+25−2−252−252+252−252+250000000−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-80000800-8−2−25−2+25−2−25−2+252+252−252+252−250000000−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-80000-8008−2+25−2−25−2+25−2−252−252+252−252+2500000002−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-80000-8008−2−25−2+25−2−25−2+252+252−252+252−2500000002+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-880000000088-8-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-8800000000−2+25−2−252−252+252−252+25−2+25−2−250000000000000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ3600000000000000000000000000000000000000000000000000000000000000
χ998-8-8800000000−2+25−2−252−252+252−252+25−2+25−2−25000000000000000−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ3600000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800000000−2−25−2+252+252−252+252−25−2−25−2+25000000000000000−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ2800000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800000000−2−25−2+252+252−252+252−25−2−25−2+250000000000000004ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ2800000000000000000000000000000000000000000000000000000000000000

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