Finite Group Databasebeta

← Group #12010322

Character table — Group #12010322

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size111122222222222244444444444444444444444444444888888888888888888888816161616161616161616161616161616161616164040404040404040404040408080
order1222224455101010101010222244444101010101010101010101010202020202020202044101010102020202020202020202020202020202044442020202020202020202020202020202022448888888844
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
χ51111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i1111iiii−i−i−i−i-1-1
χ61111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1−i−i−i−iiiii11
χ71111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii1111−i−i−i−iiiii-1-1
χ81111111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1iiii−i−i−i−i11
χ9111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i1-1
χ10111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii-11
χ11111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii1-1
χ12111111-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i-11
χ13111111-1-111111111-1-111-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11
χ14111111-1-111111111-1-111-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ15111111-1-111111111-1-111-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-11
χ16111111-1-111111111-1-111-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111-1
χ17222222222222222222-2-22-2-2222222-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000
χ182222222222222222-2-2222-2-2-2-222222222222222222222-22-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000
χ1922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−5222−1+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
χ2022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−5222−1+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
χ2122222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-22-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ2222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-22-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ2322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ2422222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ2522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522i2i−2i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ2622222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−2i−2i2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ2722222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+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+5222−1−52−1−52−1+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
χ2822222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1−52−1+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+5222−1−52−1−52−1+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
χ2922222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-22-2-222−1−52−1−52−1+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+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ3022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-22-2-222−1−52−1−52−1+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+52-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ3122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2222-2-2-2-2−1−52−1−52−1+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+52-221+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ3222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2222-2-2-2-2−1−52−1−52−1+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+52-221+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ3322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222-2-2−1−52−1−52−1+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+522-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522i2i−2i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ3422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222-2-2−1−52−1−52−1+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+522-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−2i−2i2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ35222222-2-2222222222222-222-2-2222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ36222222-2-222222222-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000
χ37222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ38222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ39222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522i−2i2i−2i−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ40222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−2i2i−2i2iζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ41222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-222−1+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+522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ42222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2-222−1+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+522-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ43222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52-221−521−521+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+52−1−52−1−520000−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ44222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-22222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52-221−521−521+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+52−1−52−1−520000ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ45222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ46222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ47222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522i−2i2i−2i−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ48222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−2i2i−2i2iζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ49222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ50222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ51222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-22222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52-221+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+52−1+520000ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ52222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-22222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52-221+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+52−1+520000−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ532-2-22-2200222-22-2-2-22-22-202-2002-22-22222-2-2-2-200000000002-22-200002-22-200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i200
χ542-2-22-2200222-22-2-2-22-22-202-2002-22-22222-2-2-2-200000000002-22-200002-22-200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i200
χ552-2-22-2200222-22-2-2-22-2-220-22002-22-2-2-2-2-2222200000000002-22-20000-22-22000000000000000000000000000000002−2−222−2−2200
χ562-2-22-2200222-22-2-2-22-2-220-22002-22-2-2-2-2-2222200000000002-22-20000-22-2200000000000000000000000000000000−222−2−222−200
χ572-2-22-2200222-22-2-2-2-222-20-22002-22-22222-2-2-2-20000000000-22-220000-22-2200000000000000000000000000000000i2−i2−i2i2−i2i2i2−i200
χ582-2-22-2200222-22-2-2-2-222-20-22002-22-22222-2-2-2-20000000000-22-220000-22-2200000000000000000000000000000000−i2i2i2−i2i2−i2−i2i200
χ592-2-22-2200222-22-2-2-2-22-2202-2002-22-2-2-2-2-222220000000000-22-2200002-22-2000000000000000000000000000000002−22−2−22−2200
χ602-2-22-2200222-22-2-2-2-22-2202-2002-22-2-2-2-2-222220000000000-22-2200002-22-200000000000000000000000000000000−22−222−22−200
χ614444-4-444444444440000-40000-4-4-4-40000000044-4-444-4-400000000000000000000000000000000000000000000000000000000
χ624444-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000-400001−51−51+51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−1+5−1+51−51−5−1−5−1−51+51+5000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000
χ634444-4-444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000-400001−51−51+51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−1+5−1+51−51−5−1−5−1−51+51+500000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000
χ644444-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000-400001+51+51−51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−1−5−1−51+51+5−1+5−1+51−51−500000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000
χ654444-4-444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000-400001+51+51−51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−1−5−1−51+51+5−1+5−1+51−51−5000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000
χ664444-4-4-4-444444444000040000-4-4-4-400000000-4-444-4-44400000000000000000000000000000000000000000000000000000000
χ674444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000400001−51−51+51+52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ361−51−5−1+5−1+51+51+5−1−5−1−500000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000
χ684444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000400001−51−51+51+5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ361−51−5−1+5−1+51+51+5−1−5−1−5000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000
χ694444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000400001+51+51−51−5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ281+51+5−1−5−1−51−51−5−1+5−1+5000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000
χ704444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000400001+51+51−51−52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ281+51+5−1−5−1−51−51−5−1+5−1+500000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000
χ7144-4-4004i−4i44-44-44-4-40000000000000000000004i−4i004i−4i000000000000000000000000000000000000000000002-22i−2i0000000000
χ7244-4-4004i−4i44-44-44-4-40000000000000000000004i−4i004i−4i00000000000000000000000000000000000000000000-22−2i2i0000000000
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χ7444-4-400−4i4i44-44-44-4-4000000000000000000000−4i4i00−4i4i00000000000000000000000000000000000000000000-222i−2i0000000000
χ754-4-444-400444-44-4-4-400000004i−4i-44-4400000000000000000000000000000000004i−4i4i−4i0000000000000000000000000000000000
χ764-4-444-400444-44-4-4-40000000−4i4i-44-440000000000000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000
χ774-4-444-400−1+5−1−5−1+51−5−1−51+51−51+500000004i−4i1−5−1+51+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000
χ784-4-444-400−1+5−1−5−1+51−5−1−51+51−51+500000004i−4i1−5−1+51+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000
χ794-4-444-400−1+5−1−5−1+51−5−1−51+51−51+50000000−4i4i1−5−1+51+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000
χ804-4-444-400−1+5−1−5−1+51−5−1−51+51−51+50000000−4i4i1−5−1+51+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000
χ814-4-444-400−1−5−1+5−1−51+5−1+51−51+51−500000004i−4i1+5−1−51−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000
χ824-4-444-400−1−5−1+5−1−51+5−1+51−51+51−500000004i−4i1+5−1−51−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000
χ834-4-444-400−1−5−1+5−1−51+5−1+51−51+51−50000000−4i4i1+5−1−51−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000
χ844-4-444-400−1−5−1+5−1−51+5−1+51−51+51−50000000−4i4i1+5−1−51−5−1+52ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000
χ854-4-44-4400−1+5−1−5−1+51−5−1−51+51−51+54-44-404-400−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000−1+51−5−1−51+50000−1+51−5−1−51+5000000000000000000000000000000000000000000
χ864-4-44-4400−1+5−1−5−1+51−5−1−51+51−51+54-4-440-4400−1+51−5−1−51+51−51−51+51+5−1+5−1+5−1−5−1−50000000000−1+51−5−1−51+500001−5−1+51+5−1−5000000000000000000000000000000000000000000
χ874-4-44-4400−1+5−1−5−1+51−5−1−51+51−51+5-444-40-4400−1+51−5−1−51+5−1+5−1+5−1−5−1−51−51−51+51+500000000001−5−1+51+5−1−500001−5−1+51+5−1−5000000000000000000000000000000000000000000
χ884-4-44-4400−1+5−1−5−1+51−5−1−51+51−51+5-44-4404-400−1+51−5−1−51+51−51−51+51+5−1+5−1+5−1−5−1−500000000001−5−1+51+5−1−50000−1+51−5−1−51+5000000000000000000000000000000000000000000
χ894-4-44-4400−1−5−1+5−1−51+5−1+51−51+51−54-44-404-400−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000−1−51+5−1+51−50000−1−51+5−1+51−5000000000000000000000000000000000000000000
χ904-4-44-4400−1−5−1+5−1−51+5−1+51−51+51−54-4-440-4400−1−51+5−1+51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000−1−51+5−1+51−500001+5−1−51−5−1+5000000000000000000000000000000000000000000
χ914-4-44-4400−1−5−1+5−1−51+5−1+51−51+51−5-444-40-4400−1−51+5−1+51−5−1−5−1−5−1+5−1+51+51+51−51−500000000001+5−1−51−5−1+500001+5−1−51−5−1+5000000000000000000000000000000000000000000
χ924-4-44-4400−1−5−1+5−1−51+5−1+51−51+51−5-44-4404-400−1−51+5−1+51−51+51+51−51−5−1−5−1−5−1+5−1+500000000001+5−1−51−5−1+50000−1−51+5−1+51−5000000000000000000000000000000000000000000
χ9388-8-8008i−8i−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000000−4ζ22−4ζ384ζ22+4ζ3800−4ζ6−4ζ144ζ6+4ζ140000000000000000000000000000000000000000000000000000000000
χ9488-8-8008i−8i−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000000−4ζ6−4ζ144ζ6+4ζ1400−4ζ22−4ζ384ζ22+4ζ380000000000000000000000000000000000000000000000000000000000
χ9588-8-800−8i8i−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000004ζ22+4ζ38−4ζ22−4ζ38004ζ6+4ζ14−4ζ6−4ζ140000000000000000000000000000000000000000000000000000000000
χ9688-8-800−8i8i−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000004ζ6+4ζ14−4ζ6−4ζ14004ζ22+4ζ38−4ζ22−4ζ380000000000000000000000000000000000000000000000000000000000
χ978-88-8000088-8-8-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-80000−2+25−2−252−252−252+252+25−2+25−2−25000000000000000000000004ζ12−4ζ28−4ζ12+4ζ2800−4ζ4+4ζ364ζ4−4ζ3600000000000000000000000000000000000000000000000000000000
χ998-88-80000−2+25−2−252−252−252+252+25−2+25−2−2500000000000000000000000−4ζ12+4ζ284ζ12−4ζ28004ζ4−4ζ36−4ζ4+4ζ3600000000000000000000000000000000000000000000000000000000
χ1008-88-80000−2−25−2+252+252+252−252−25−2−25−2+2500000000000000000000000−4ζ4+4ζ364ζ4−4ζ3600−4ζ12+4ζ284ζ12−4ζ2800000000000000000000000000000000000000000000000000000000
χ1018-88-80000−2−25−2+252+252+252−252−25−2−25−2+25000000000000000000000004ζ4−4ζ36−4ζ4+4ζ36004ζ12−4ζ28−4ζ12+4ζ2800000000000000000000000000000000000000000000000000000000

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