Finite Group Databasebeta

← Group #12086931

Character table — Group #12086931

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222444444444444444488888888888816161616161616161616161616161616161616161616161616161616202020202020202040404040404040408080
order1222224444551010101010104444101010102020202020202020244420202020202020204488101020202020202020202020202020204040404040404040888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ51111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-111
χ61111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-111-1-1
χ71111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111
χ91111-1-1111111111111-1-11-1-1-1-1-11111111111-1-1-1-1-1-111-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1111-11
χ101111-1-1111111111111-1-11-1-1-1-1-11111111111-1-1-1-1-1-111-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111-1-111-1-1-11-1
χ111111-1-1111111111111-1-11-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111-1
χ121111-1-1111111111111-1-11-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111-1-1-1-1-1-11
χ131111-1-1111111111111-1-11-1-1-1-1-111111111-1-111-1-1-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1111-1-1-11
χ141111-1-1111111111111-1-11-1-1-1-1-111111111-1-111-1-1-1-111-1-11-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-1111-1
χ151111-1-1111111111111-1-11-1-1-1-1-111111111-1-111-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-111-1-11-1-11-1
χ161111-1-1111111111111-1-11-1-1-1-1-111111111-1-111-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-1-111-111-11
χ172222222222−1+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+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ182222222222−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ192222222222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-21−521+521−521+521−521+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+52000000000000000000
χ202222222222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2221−521+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+52−1−52−1−52000000000000000000
χ212222222222−1−52−1+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+522222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52000000000000000000
χ222222222222−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ232222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222-2-21+521−521+521−521+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+521−521−52000000000000000000
χ242222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2221+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ252222222-22-2222222222-2-2-22222-2-2-2-222222-2-222-22-2-2-2-2-2000022-2-2-2-2220000000000000000000000000000000000
χ262222222-22-2222222222-2-2-22222-2-2-2-22222-222-22-22-2-2-2-2-20000-2-22222-2-20000000000000000000000000000000000
χ272222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+521−52−1−521+521−521+521−521+520000−1+52−1−521−521+521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ282222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-2-22−1+521−52−1−521+521−521+521−521+520000−1+52−1−521−521+521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ292222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-222-2−1+521−52−1−521+521−521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ302222222-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-222-2−1+521−52−1−521+521−521+521−521+5200001−521+52−1+52−1−52−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ312222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−521+52−1+521−521+521−521+521−520000−1−52−1+521+521−521+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ322222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-2-22−1−521+52−1+521−521+521−521+521−520000−1−52−1+521+521−521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ332222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-222-2−1−521+52−1+521−521+521−521+521−5200001+521−52−1−52−1+52−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ342222222-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-222-2−1−521+52−1+521−521+521−521+521−5200001+521−52−1−52−1+52−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28000000000000000000
χ35222222-22-2222222222-22-2-222222222-2-2-2-20000-22-22-2-2-2-2000000000000000000000000000022220000-20000-20000
χ36222222-22-2222222222-22-2-222222222-2-2-2-20000-22-22-2-2-2-20000000000000000000000000000-2-2-2-200002000020000
χ37222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-20000-2-2-2-22222000000000000000000000000000000002i2i−2i−2i0000002i−2i00
χ38222222-2-2-2-222222222-2-2222222-2-2-2-2-2-2-2-20000-2-2-2-2222200000000000000000000000000000000−2i−2i2i2i000000−2i2i00
χ392222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521+521+52−1+52−1−521−521+522-22-2−1+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+52−1−52−1−521−521−521+521+52000000000000000000
χ402222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521+521+52−1+52−1−521−521+52-22-22−1+52−1−52−1+52−1−521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ412222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+52−1+52−1−521−521+522-2-221−521+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+52−1+52−1+52−1−52−1−52000000000000000000
χ422222-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+52−1+52−1−521−521+52-222-21−521+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+52−1−52−1−521−521−521+521+52000000000000000000
χ432222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+521+521−521−52−1−52−1+521+521−522-22-2−1−52−1+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+521+521+521−521−52000000000000000000
χ442222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-21+521+521−521−52−1−52−1+521+521−52-22-22−1−52−1+52−1−52−1+521+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+52000000000000000000
χ452222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−52−1−52−1+521+521−522-2-221+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+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ462222-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−52−1−52−1+521+521−52-222-21+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+521+521+521−521−52000000000000000000
χ472222-2-22-22-222222222-22-22-2-2-2-2-2-2-2-222222-22-2-22-22-2-222000022-2-222-2-20000000000000000000000000000000000
χ482222-2-22-22-222222222-22-22-2-2-2-2-2-2-2-22222-22-22-22-22-2-2220000-2-222-2-2220000000000000000000000000000000000
χ492222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-22-21−52−1+521+52−1−521−521+52−1+52−1−520000−1+52−1−521−521+52−1+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+ζ36000000000000000000
χ502222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-22-21−52−1+521+52−1−521−521+52−1+52−1−520000−1+52−1−521−521+52−1+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−ζ36000000000000000000
χ512222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22-221−52−1+521+52−1−521−521+52−1+52−1−5200001−521+52−1+52−1−521−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ522222-2-22-22-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-22-221−52−1+521+52−1−521−521+52−1+52−1−5200001−521+52−1+52−1−521−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ532222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-22-21+52−1−521−52−1+521+521−52−1−52−1+520000−1−52−1+521+521−52−1−52−1+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+ζ28000000000000000000
χ542222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-22-21+52−1−521−52−1+521+521−52−1−52−1+520000−1−52−1+521+521−52−1−52−1+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−ζ28000000000000000000
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χ562222-2-22-22-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52-22-221+52−1−521−52−1+521+521−52−1−52−1+5200001+521−52−1−52−1+521+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28000000000000000000
χ572222-2-2-22-22222222222-2-22-2-2-2-22222-2-2-2-200002-22-2-2-222000000000000000000000000000022-2-2000020000-20000
χ582222-2-2-22-22222222222-2-22-2-2-2-22222-2-2-2-200002-22-2-2-2220000000000000000000000000000-2-2220000-2000020000
χ592222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000222222-2-2000000000000000000000000000000002i2i−2i−2i000000−2i2i00
χ602222-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000222222-2-200000000000000000000000000000000−2i−2i2i2i0000002i−2i00
χ61444444-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-44-4-4−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−51−51−51+51+500001−5−1+51+5−1−51−51+51−51+50000000000000000000000000000000000000000000000
χ62444444-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-44-4-4−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+51+51+51−51−500001+5−1−51−5−1+51+51−51+51−50000000000000000000000000000000000000000000000
χ63444444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-444−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+500001−51−51+51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000
χ64444444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-444−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−500001+51+51−51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000
χ654444-4-4-44-44−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-4-441−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000−1+51−5−1−51+51−51+5−1+5−1−50000000000000000000000000000000000000000000000
χ664444-4-4-44-44−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-4-441+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000−1−51+5−1+51−51+51−5−1−5−1+50000000000000000000000000000000000000000000000
χ674444-4-4-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5444-41−51−51+51+51−51−51+51+51−51−51+51+50000−1+5−1+5−1−5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000
χ684444-4-4-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5444-41+51+51−51−51+51+51−51−51+51+51−51−50000−1−5−1−5−1+5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000
χ6944-4-400040-4444-44-4-4-4000000004-44-4000000000000000000000000000000000000000000000000000000022−2200000
χ7044-4-400040-4444-44-4-4-4000000004-44-40000000000000000000000000000000000000000000000000000000−222200000
χ7144-4-4000-404444-44-4-4-400000000-44-44000000000000000000000000000000000000000000000000000002i2−2i20000000
χ7244-4-4000-404444-44-4-4-400000000-44-4400000000000000000000000000000000000000000000000000000−2i22i20000000
χ734-44-40040-4044-44-44-4-40000000000004-44-40000000000000000000000000000000000000000000022−2222−220000000000
χ744-44-40040-4044-44-44-4-40000000000004-44-400000000000000000000000000000000000000000000−2222−22220000000000
χ754-44-400-404044-44-44-4-4000000000000-44-44000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ764-44-400-404044-44-44-4-4000000000000-44-4400000000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ774-4-444-4000044-4-4-4-44400004-44-400000000000000000000000000000000000000000000000022−2222−2200000000000000
χ784-4-444-4000044-4-4-4-44400004-44-4000000000000000000000000000000000000000000000000−2222−222200000000000000
χ794-4-44-44000044-4-4-4-4440000-44-4400000000000000000000000000000000000000000000000022−22−222200000000000000
χ804-4-44-44000044-4-4-4-4440000-44-44000000000000000000000000000000000000000000000000−222222−2200000000000000
χ8188-8-800080-8−2+25−2−25−2+252−25−2−252+252−252+2500000000−2+252−25−2−252+2500000000000000000000000000000000000000000000000000000000000000
χ8288-8-800080-8−2−25−2+25−2−252+25−2+252−252+252−2500000000−2−252+25−2+252−2500000000000000000000000000000000000000000000000000000000000000
χ8388-8-8000-808−2+25−2−25−2+252−25−2−252+252−252+25000000002−25−2+252+25−2−2500000000000000000000000000000000000000000000000000000000000000
χ8488-8-8000-808−2−25−2+25−2−252+25−2+252−252+252−25000000002+25−2−252−25−2+2500000000000000000000000000000000000000000000000000000000000000
χ858-88-80080-80−2+25−2−252−25−2+252+25−2−252−252+25000000000000−2+252−25−2−252+250000000000000000000000000000000000000000000000000000000000
χ868-88-80080-80−2−25−2+252+25−2−252−25−2+252+252−25000000000000−2−252+25−2+252−250000000000000000000000000000000000000000000000000000000000
χ878-88-800-8080−2+25−2−252−25−2+252+25−2−252−252+250000000000002−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000
χ888-88-800-8080−2−25−2+252+25−2−252−25−2+252+252−250000000000002+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000
χ898-8-888-80000−2+25−2−252−252−252+252+25−2+25−2−250000−2+252−25−2−252+25000000000000000000000000000000000000000000000000000000000000000000
χ908-8-888-80000−2−25−2+252+252+252−252−25−2−25−2+250000−2−252+25−2+252−25000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88-880000−2+25−2−252−252−252+252+25−2+25−2−2500002−25−2+252+25−2−25000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-880000−2−25−2+252+252+252−252−25−2−25−2+2500002+25−2−252−25−2+25000000000000000000000000000000000000000000000000000000000000000000

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