Finite Group Databasebeta

← Group #12080401

Character table — Group #12080401

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222222444444444444444444444444488888888888888888888888888881616161616161616161616161616161616164040404040404040404040408080
order1222444455101010101010244441010101020202020202020202020202020202020244488882020202040404040404040404040404040404040441010202020202020202020202020202022444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1
χ611111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ711111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1
χ91111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11-1111-1-1-111-1-11-1
χ101111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-11-1-1-1111-1-111-11
χ111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-111111-1111-1-1-1-1-111-11
χ121111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-11-1-1-111111-1-11-1
χ131111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111-1-1-11-11111-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1111-11-1-1-1-1111-1
χ151111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11-1-1-11-111-1-1111-1
χ161111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-1111-11-1-111-1-1-11
χ1722222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+5200000000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+52−1+52−1−5222-2-222-2-2−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+52−1+52−1−5222-2-2-2-222−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+52−1+52−1−52-2-22222-2-2−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+52−1+52−1−52-2-222-2-222−1+52−1−521−521+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+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−5200000000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−52−1−52−1+5222-2-222-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−52−1−52−1+5222-2-2-2-222−1−52−1+521+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−52−1−52−1+52-2-22222-2-2−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521−521−52−1−52−1+52-2-222-2-222−1−52−1+521+521−521+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+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3322222-2-222222222222-2-2-22222-2-2-2-222-222-2-2-2-2-2-2-200000000-2-22200000000000000000000000000000000002-200-2200000000
χ3422222-2-222222222222-2-2-22222-2-2-2-222-222-2-2-2-2-2-2-200000000-2-2220000000000000000000000000000000000-22002-200000000
χ3522222-2-2222222222-2-222-2-2-2-2-2222222-222-22222-2-200000000-2-2-2-200000000000000000000000000000000002200-2-200000000
χ3622222-2-2222222222-2-222-2-2-2-2-2222222-222-22222-2-200000000-2-2-2-20000000000000000000000000000000000-2-2002200000000
χ372222-222-2222222222-2-22-22222-2-2-2-2-2-22-2-222222222-22-20000-2-2-2-20000000000000000002222-2-2-2-20000000000000000000000
χ382222-222-2222222222-2-22-22222-2-2-2-2-2-22-2-22222222-22-220000-2-2-2-2000000000000000000-2-2-2-222220000000000000000000000
χ392222-222-222222222-222-2-2-2-2-2-22222-2-22-2-22-2-2-2-2222-2-220000-2-22200000000000000000022-2-2-2-2220000000000000000000000
χ402222-222-222222222-222-2-2-2-2-2-22222-2-22-2-22-2-2-2-222-222-20000-2-222000000000000000000-2-22222-2-20000000000000000000000
χ412222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+521+521+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ3600−1+52−1−52−1+52−1−521−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ422222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+521+521+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−52−1+52−1−521−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ432222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+521+521+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2200001−521+521−521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36001−521+521−521+52−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
χ442222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−52−1+521+521+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2200001−521+521−521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+521−521+52−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
χ452222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+521+521+52−1−521−521−521+521+52−1+52−1−522-2-2200001−521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ3600−1+52−1−521−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000000
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χ472222-222-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−52−1+521+521+52−1−521−521−521+521+52−1+52−1−52-222-200001−521+52−1+52−1−52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36001−521+52−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000000
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χ8544-4-4-4004−1−5−1+51+51−5−1−51+5−1+51−50000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ381+5−1−501−5−1+50−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000002i2−2i20000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ3700000000000000000000000000000000
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χ8844-4-4-4004−1−5−1+51+51−5−1−51+5−1+51−5000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ381+5−1−501−5−1+502ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000−2i22i20000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ3700000000000000000000000000000000
χ894-4-4404-4044-4-4-44-4400000000000000040040000-4-4000000000000000000000000000000000000000000000000000000002i2−2i200
χ904-4-4404-4044-4-4-44-4400000000000000040040000-4-400000000000000000000000000000000000000000000000000000000−2i22i200
χ914-4-440-44044-4-4-44-44000000000000000-400-400004400000000000000000000000000000000000000000000000000000022−220000
χ924-4-440-44044-4-4-44-44000000000000000-400-4000044000000000000000000000000000000000000000000000000000000−22220000
χ938-88-800008888-8-8-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-80000−2+25−2−25−2+25−2−252−252−252+252+25000004ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ360000000000000000000000000000000000000000000000000000000000000000000000000000
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χ988-8-8808-80−2+25−2−252−252+252−25−2+252+25−2−25000000000000000−2+2500−2−2500002−252+25000000000000000000000000000000000000000000000000000000000000
χ998-8-8808-80−2−25−2+252+252−252+25−2−252−25−2+25000000000000000−2−2500−2+2500002+252−25000000000000000000000000000000000000000000000000000000000000
χ1008-8-880-880−2+25−2−252−252+252−25−2+252+25−2−250000000000000002−25002+250000−2+25−2−25000000000000000000000000000000000000000000000000000000000000
χ1018-8-880-880−2−25−2+252+252−252+25−2−252−25−2+250000000000000002+25002−250000−2−25−2+25000000000000000000000000000000000000000000000000000000000000

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