Finite Group Databasebeta

← Group #13103541

Character table — Group #13103541

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94
size11112222222222444444445555888888888888888888101010101010101010102020202020202020202020202020202020202020202020202020404040405050505050505050100100
order12442455101020202020510101020202020224455101010101010102020202020202020202410101010202020202444441010202020202020202020202020202020202020101020208888888824
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111iiii−i−i−i−i-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111−i−i−i−iiiii-1-1
χ71111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1−i−i−i−iiiii11
χ81111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1iiii−i−i−i−i11
χ911-1-1-111111-1-1-1-11-1-1111-1-111-1-111-1-1-1-1-11111111-1-1-1-1-111111-1-1-1-11-11-11-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ1011-1-1-111111-1-1-1-11-1-1111-1-111-1-111-1-1-1-1-11111111-1-1-1-1-111111-1-1-1-11-1-11-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1111-1
χ1111-1-1-111111-1-1-1-11-1-1111-1-111-1-111-1-1-1-1-11111111-1-1-1-1-111111-1-1-1-1-111-11-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ1211-1-1-111111-1-1-1-11-1-1111-1-111-1-111-1-1-1-1-11111111-1-1-1-1-111111-1-1-1-1-11-11-11-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-11
χ1311-1-1-111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-1-1-1-111111-1i−i−ii11-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i−i−iii-11
χ1411-1-1-111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-1-1-1-111111-1−iii−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iiiii−i−i-11
χ1511-1-1-111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-11i−i−ii11-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iiiii−i−i1-1
χ1611-1-1-111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-11−iii−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i−i−iii1-1
χ17222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+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+52−1−52−1−52002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−52222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+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+52−1−52−1−5200-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−5222-2-2-2-2−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+52002i2i−2i−2i1−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522−1+52−1−522−1+52−1−5222-2-2-2-2−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200−2i−2i2i2i1−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000000000
χ21222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+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+52002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+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
χ22222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+52222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+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+5200-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+5222-2-2-2-2−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−52002i2i−2i−2i1+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
χ24222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+5222-2-2-2-2−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200−2i−2i2i2i1+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ252222-2-2222222222-2-22-2-222222222-2-2-2-2-222-2-2-2-2-22222-2-222222222000000-2-2-2-2000000000000000000000000000000
χ262222-2-2222222222-2-22-2-222-2-2-2-222-2-2-2-2-222-2-2-2-2-2222222-2-2-2-2-2-2-2-20000002222000000000000000000000000000000
χ272222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+5221−521+52222222−1+52−1−52-21−521−521+521+52−1+52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ282222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+5221−521+52222222−1+52−1−52-21−521−521+521+52−1+52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ292222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+5221−521+5222-2-2-2-2−1+52−1−52-21−521−521+521+52−1+52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ302222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5221−521+5221−521+5222-2-2-2-2−1+52−1−52-21−521−521+521+52−1+52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−52221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ312222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−5221+521−52222222−1−52−1+52-21+521+521−521−52−1−52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ322222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−5221+521−52222222−1−52−1+52-21+521+521−521−52−1−52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ332222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−5221+521−5222-2-2-2-2−1−52−1+52-21+521+521−521−52−1−52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ342222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5221+521−5221+521−5222-2-2-2-2−1−52−1+52-21+521+521−521−52−1−52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+52221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ3522-2-22-22222-2-2-2-22222-2-2-2-222-2-2222222222-2-2-2-2-2-2-2-2-22-22222-2-2-2-200000022-2-2000000000000000000000000000000
χ3622-2-22-22222-2-2-2-22222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-22-2-2-2-22222000000-2-222000000000000000000000000000000
χ3722-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−5221−521+52-2-222-2-2−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52-21−521−521+521+521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ3822-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−5221−521+52-2-222-2-2−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52-21−521−521+521+521−521−521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ3922-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−5221−521+52-2-2-2-222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52-21−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ1400000000000000
χ4022-2-22-2−1+52−1−52−1+52−1−521−521−521+521+522−1+52−1−5221−521+52-2-2-2-222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52-21−521−521+521+521−521−521+521+52-221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ4122-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+5221+521−52-2-222-2-2−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52-21+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000000
χ4222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+5221+521−52-2-222-2-2−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52-21+521+521−521−521+521+521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000000
χ4322-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+5221+521−52-2-2-2-222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52-21+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ3800000000000000
χ4422-2-22-2−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+5221+521−52-2-2-2-222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+52-21+521+521−521−521+521+521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ3800000000000000
χ4522-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5221−521+522−1+52−1−52-2-222-2-2−1+52−1−52-21−521−521+521+52−1+52−1−522−1+52−1+52−1−52−1−521−521−521+521+52-22−1+52−1+52−1−52−1−521−521−521+521+52002-22-21−521+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+5200000000000000
χ4622-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5221−521+522−1+52−1−52-2-222-2-2−1+52−1−52-21−521−521+521+52−1+52−1−522−1+52−1+52−1−52−1−521−521−521+521+52-22−1+52−1+52−1−52−1−521−521−521+521+5200-22-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
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χ4822-2-2-22−1+52−1−52−1+52−1−521−521−521+521+5221−521+522−1+52−1−52-2-2-2-222−1+52−1−52-21−521−521+521+52−1+52−1−522−1+52−1+52−1−52−1−521−521−521+521+522-21−521−521+521+52−1+52−1+52−1−52−1−5200−2i2i2i−2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000000000
χ4922-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5221+521−522−1−52−1+52-2-222-2-2−1−52−1+52-21+521+521−521−52−1−52−1+522−1−52−1−52−1+52−1+521+521+521−521−52-22−1−52−1−52−1+52−1+521+521+521−521−52002-22-21+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ5022-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5221+521−522−1−52−1+52-2-222-2-2−1−52−1+52-21+521+521−521−52−1−52−1+522−1−52−1−52−1+52−1+521+521+521−521−52-22−1−52−1−52−1+52−1+521+521+521−521−5200-22-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ5122-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5221+521−522−1−52−1+52-2-2-2-222−1−52−1+52-21+521+521−521−52−1−52−1+522−1−52−1−52−1+52−1+521+521+521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+52002i−2i−2i2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000000000
χ5222-2-2-22−1−52−1+52−1−52−1+521+521+521−521−5221+521−522−1−52−1+52-2-2-2-222−1−52−1+52-21+521+521−521−52−1−52−1+522−1−52−1−52−1+52−1+521+521+521−521−522-21+521+521−521−52−1−52−1−52−1+52−1+5200−2i2i2i−2i−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000000000
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χ542-22i−2i0022-2-22i−2i2i−2i200-2002i−2i2-22i−2i2200000-2-2000002i−2i2i−2i002-22-22i−2i2i−2i000000000000000000000000000000−22−i2i2−22−i2i200
χ552-22i−2i0022-2-22i−2i2i−2i200-2002i−2i-22−2i2i2200000-2-2000002i−2i2i−2i00-22-22−2i2i−2i2i000000000000000000000000000000i2−i2−22−i2i22−200
χ562-22i−2i0022-2-22i−2i2i−2i200-2002i−2i-22−2i2i2200000-2-2000002i−2i2i−2i00-22-22−2i2i−2i2i000000000000000000000000000000−i2i22−2i2−i2−2200
χ572-2−2i2i0022-2-2−2i2i−2i2i200-200−2i2i2-2−2i2i2200000-2-200000−2i2i−2i2i002-22-2−2i2i−2i2i0000000000000000000000000000002−2−i2i22−2−i2i200
χ582-2−2i2i0022-2-2−2i2i−2i2i200-200−2i2i2-2−2i2i2200000-2-200000−2i2i−2i2i002-22-2−2i2i−2i2i000000000000000000000000000000−22i2−i2−22i2−i200
χ592-2−2i2i0022-2-2−2i2i−2i2i200-200−2i2i-222i−2i2200000-2-200000−2i2i−2i2i00-22-222i−2i2i−2i000000000000000000000000000000i2−i22−2−i2i2−2200
χ602-2−2i2i0022-2-2−2i2i−2i2i200-200−2i2i-222i−2i2200000-2-200000−2i2i−2i2i00-22-222i−2i2i−2i000000000000000000000000000000−i2i2−22i2−i22−200
χ6144444444444444-144-144-1-10000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000044000000000000000000000000-1-1-1-10000000000
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χ634444-4-444444444-1-4-4-1-4-4-1-10000-1-111111-1-111111-1-1-1-10000000000000000000000000000000000005−55−50000000000
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χ6544-4-44-44444-4-4-4-4-144-1-4-4110000-1-1-1-1-1-1-1-1-11111111110000000000000000000000000000000000005−5−550000000000
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χ694-44i−4i00−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14400-4004i−4i4-44i−4i−1+5−1−5000001−51+500000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400−1+51−5−1−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ704-44i−4i00−1+5−1−51−51+5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14400-4004i−4i-44−4i4i−1+5−1−5000001−51+500000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14001−5−1+51+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ714-44i−4i00−1−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38400-4004i−4i4-44i−4i−1−5−1+5000001+51−500000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800−1−51+5−1+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
χ724-44i−4i00−1−5−1+51+51−5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38400-4004i−4i-44−4i4i−1−5−1+5000001+51−500000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38001+5−1−51−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ734-4−4i4i00−1+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14400-400−4i4i4-4−4i4i−1+5−1−5000001−51+5000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400−1+51−5−1−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000000000000000000000000000000000000000
χ744-4−4i4i00−1+5−1−51−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14400-400−4i4i-444i−4i−1+5−1−5000001−51+5000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14001−5−1+51+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ140000000000000000000000000000000000000000
χ754-4−4i4i00−1−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38400-400−4i4i4-4−4i4i−1−5−1+5000001+51−5000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000000000000000000000000000000000000000
χ764-4−4i4i00−1−5−1+51+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38400-400−4i4i-444i−4i−1−5−1+5000001+51−5000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38001+5−1−51−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ380000000000000000000000000000000000000000
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χ78888888−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+25-2−2−25−2+25-2−2−25−2+25-2-200001+521−52-21+521+521−521−521+521−52-21+521+521−521−521+521+521−521−5200000000000000000000000000000000000000000000000000
χ798888-8-8−2+25−2−25−2+25−2−25−2+25−2+25−2−25−2−25-22−252+25-22−252+25-2-200001−521+522−1+52−1+52−1−52−1−521−521+522−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000000000000000000000000
χ808888-8-8−2−25−2+25−2−25−2+25−2−25−2−25−2+25−2+25-22+252−25-22+252−25-2-200001+521−522−1−52−1−52−1+52−1+521+521−522−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000000000000000000000
χ8188-8-88-8−2+25−2−25−2+25−2−252−252−252+252+25-2−2+25−2−25-22−252+252200001−521+52-21−521−521+521+521−521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000
χ8288-8-88-8−2−25−2+25−2−25−2+252+252+252−252−25-2−2−25−2+25-22+252−252200001+521−52-21+521+521−521−521+521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000
χ8388-8-8-88−2+25−2−25−2+25−2−252−252−252+252+25-22−252+25-2−2+25−2−252200001−521+522−1+52−1+52−1−52−1−521−521+52-21−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000000000000000000000
χ8488-8-8-88−2−25−2+25−2−25−2+252+252+252−252−25-22+252−25-2−2−25−2+252200001+521−522−1−52−1−52−1+52−1+521+521−52-21+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000000000000000000000
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χ868-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14-200200−2i2i00001−521+520−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ36−1+52−1−5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ1400000000000000000000000000000000000000000000000000
χ878-88i−8i00−2+25−2−252−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14-200200−2i2i00001−521+5202ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−1+52−1−520−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ1400000000000000000000000000000000000000000000000000
χ888-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38-200200−2i2i00001+521−520−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36−1−52−1+520ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ3800000000000000000000000000000000000000000000000000
χ898-88i−8i00−2−25−2+252+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38-200200−2i2i00001+521−520ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−1−52−1+520−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ3800000000000000000000000000000000000000000000000000
χ908-8−8i8i0088-8-8−8i8i−8i8i-2002002i−2i0000-2-20000022000002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ918-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14-2002002i−2i00001−521+520−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ36−1+52−1−520−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ1400000000000000000000000000000000000000000000000000
χ928-8−8i8i00−2+25−2−252−252+254ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14-2002002i−2i00001−521+5202ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−1+52−1−5202ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ1400000000000000000000000000000000000000000000000000
χ938-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38-2002002i−2i00001+521−520−ζ4+2ζ12−2ζ28+ζ36ζ4−2ζ12+2ζ28−ζ362ζ4+ζ12−ζ28−2ζ36−2ζ4−ζ12+ζ28+2ζ36−1−52−1+520−ζ6+ζ14−2ζ22+2ζ38ζ6−ζ14+2ζ22−2ζ38−2ζ6+2ζ14+ζ22−ζ382ζ6−2ζ14−ζ22+ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ3800000000000000000000000000000000000000000000000000
χ948-8−8i8i00−2−25−2+252+252−254ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38-2002002i−2i00001+521−520ζ4−2ζ12+2ζ28−ζ36−ζ4+2ζ12−2ζ28+ζ36−2ζ4−ζ12+ζ28+2ζ362ζ4+ζ12−ζ28−2ζ36−1−52−1+520ζ6−ζ14+2ζ22−2ζ38−ζ6+ζ14−2ζ22+2ζ382ζ6−2ζ14−ζ22+ζ38−2ζ6+2ζ14+ζ22−ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ3800000000000000000000000000000000000000000000000000

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