Finite Group Databasebeta

← Group #14283386

Character table — Group #14283386

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222222244444444444444444444444888888888888888888881010101010101616161616161616161616162020202020202020202424242424242424242424242424242424242424404040404040120120120120
order122222344556661010101010104661010101012121212151520202020303030303030441212121220203030303060606060606060604412121212202020206060606060606060444121212121212448820202020202020204040404040404040246612124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-111
χ81111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-111-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i-11-1-111i−ii−i
χ101111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-111-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii-11-1-111−ii−ii
χ111111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1111-1-111i−ii−iiiii−i−i−i−iiiii−i−i−i−i1-111-1-1−ii−ii
χ121111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1111-1-111−ii−ii−i−i−i−iiiii−i−i−i−iiiii1-111-1-1i−ii−i
χ131111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-11-1-1-111-1-1i−i−iiiiii−i−i−i−i−i−i−i−iiiii1-111-1-1i−i−ii
χ141111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-11-1-1-111-1-1−iii−i−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1−iii−i
χ151111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1111-1-111i−i−iiiiii−i−i−i−i−i−i−i−iiiii-11-1-111−iii−i
χ161111-1-11-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1111-1-111−iii−i−i−i−i−iiiiiiiii−i−i−i−i-11-1-111i−i−ii
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−521+521+521−521−521+521+521−521−5200000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+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+52-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−521+521+521−521−521+521+521−521−52000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ21222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ22222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000
χ23222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+521−521−521+521+521−521−521+521+5200000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000
χ24222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222−1+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+52−1−52-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+521−521−521+521+521−521−521+521+52000000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ252222222-2-222222222222-2222222-2-2-2-222-2-2-2-2222222000000-2-22222-2-2-2-2-2-2-2-22222220000000000002-2-222-2-2-2-2000000000000000000000000000000
χ262222222-2-222222222222-2222222-2-2-2-222-2-2-2-2222222000000-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000-222-2-22222000000000000000000000000000000
χ27222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000000000000022-1-1-1-10000
χ28222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-1-2-2-211111100000000000000000000-2-211110000
χ29222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2111122-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-100000000000000000000-2-211110000
χ30222222-12222-1-1-12222222-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2111122-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-211111111-2-2-21111110000000000000000000022-1-1-1-10000
χ31222222-1-2-222-1-1-1222222-2-1-122221111-1-1-2-2-2-2-1-1-1-1-1-100−i3i3−i3i3-2-2-1-1-1-11111111122-1-1-1-10000−i3i3−i3i3−i3i3−i3i32-2-2-1-111110000000000000000000000−i3i3−i3i30000
χ32222222-1-2-222-1-1-1222222-2-1-122221111-1-1-2-2-2-2-1-1-1-1-1-100−i3i3−i3i3-2-2-1-1-1-111111111-2-211110000−i3i3−i3i3−i3i3−i3i3-22211-1-1-1-10000000000000000000000i3−i3i3−i30000
χ33222222-1-2-222-1-1-1222222-2-1-122221111-1-1-2-2-2-2-1-1-1-1-1-100i3−i3i3−i3-2-2-1-1-1-11111111122-1-1-1-10000i3−i3i3−i3i3−i3i3−i32-2-2-1-111110000000000000000000000i3−i3i3−i30000
χ34222222-1-2-222-1-1-1222222-2-1-122221111-1-1-2-2-2-2-1-1-1-1-1-100i3−i3i3−i3-2-2-1-1-1-111111111-2-211110000i3−i3i3−i3i3−i3i3−i3-22211-1-1-1-10000000000000000000000−i3i3−i3i30000
χ352222-2-222222222222222-2-2-2-2-2-2-2-2-222222222222222000000-2-2-2-2-2-2-2-2-2-22222222222000000000000-2-22-2-2-2-222000000000000000000000000000000
χ362222-2-222222222222222-2-2-2-2-2-2-2-2-222222222222222000000-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000000022-22222-2-2000000000000000000000000000000
χ372222-2-22-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-21+521−521+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+522-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000002i−2i2i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ940000000000
χ382222-2-22-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-21+521−521+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+522-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000−2i2i−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ940000000000
χ392222-2-22-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-21+521−521+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-22-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000002i−2i−2i2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ940000000000
χ402222-2-22-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-21+521−521+521−5222-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-22-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000−2i2i2i−2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ940000000000
χ412222-2-22-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-21−521+521−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−522-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000002i−2i2i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ1180000000000
χ422222-2-22-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-21−521+521−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−522-222-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000−2i2i−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ1180000000000
χ432222-2-22-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-21−521+521−521+5222-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000002i−2i−2i2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ1180000000000
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χ914-44-400-2−4i4i442-22-4-444-4-40000000002i−2i-2-2−4i4i−4i4i22-2-22200000000000000002i−2i2i−2i00−2i32i3−2i32i30000000000000000000−2323000000000000000000000000000000
χ924-44-400-2−4i4i442-22-4-444-4-40000000002i−2i-2-2−4i4i−4i4i22-2-22200000000000000002i−2i2i−2i002i3−2i32i3−2i3000000000000000000023−23000000000000000000000000000000
χ934-4-444-440044-4-4444-4-4-4-404-444-4-4000044000044-4-4-4-4000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-4400−1−5−1+5-4-44−1−5−1+51+51−51+51−504-4−1−5−1+51+51−50000−1−5−1+50000−1−5−1+51+51−51+51−500000000−1−51+5−1+51−500000000000000000000000000000000000000000000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ1190000000000
χ954-4-444-4400−1−5−1+5-4-44−1−5−1+51+51−51+51−504-4−1−5−1+51+51−50000−1−5−1+50000−1−5−1+51+51−51+51−500000000−1−51+5−1+51−500000000000000000000000000000000000000000000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ1190000000000
χ964-4-444-4400−1+5−1−5-4-44−1+5−1−51−51+51−51+504-4−1+5−1−51−51+50000−1+5−1−50000−1+5−1−51−51+51−51+500000000−1+51−5−1−51+500000000000000000000000000000000000000000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ1030000000000
χ974-4-444-4400−1+5−1−5-4-44−1+5−1−51−51+51−51+504-4−1+5−1−51−51+50000−1+5−1−50000−1+5−1−51−51+51−51+500000000−1+51−5−1−51+500000000000000000000000000000000000000000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ1030000000000
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χ1004-4-44-4440044-4-4444-4-4-4-40-44-4-444000044000044-4-4-4-400000000-44-4400000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44400−1−5−1+5-4-44−1−5−1+51+51−51+51−50-441+51−5−1−5−1+50000−1−5−1+50000−1−5−1+51+51−51+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ1190000000000
χ1024-4-44-44400−1−5−1+5-4-44−1−5−1+51+51−51+51−50-441+51−5−1−5−1+50000−1−5−1+50000−1−5−1+51+51−51+51−5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ1190000000000
χ1034-4-44-44400−1+5−1−5-4-44−1+5−1−51−51+51−51+50-441−51+5−1+5−1−50000−1+5−1−50000−1+5−1−51−51+51−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ1030000000000
χ1044-4-44-44400−1+5−1−5-4-44−1+5−1−51−51+51−51+50-441−51+5−1+5−1−50000−1+5−1−50000−1+5−1−51−51+51−51+5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ1030000000000
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χ10788-8-800800−2−25−2+258-8-82+252−252+252−25−2−25−2+2500000000000−2−25−2+2500002+252−252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-800800−2+25−2−258-8-82−252+252−252+25−2+25−2−2500000000000−2+25−2−2500002−252+252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-800-400−2−25−2+25-4442+252−252+252−25−2−25−2+250000000−4i34i3001+51−50000−1−5−1+5−1−5−1+51+51−50000000000002ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1160000000000000000000000000000000000000000000000000000000000000
χ11088-8-800-400−2−25−2+25-4442+252−252+252−25−2−25−2+2500000004i3−4i3001+51−50000−1−5−1+5−1−5−1+51+51−5000000000000−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1160000000000000000000000000000000000000000000000000000000000000
χ11188-8-800-400−2+25−2−25-4442−252+252−252+25−2+25−2−250000000−4i34i3001−51+50000−1+5−1−5−1+5−1−51−51+50000000000002ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ920000000000000000000000000000000000000000000000000000000000000
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χ1138-88-800-48i−8i−2−25−2+254-442+252−25−2−25−2+252+252−25000000000−4i4i1+51−5−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94−1−5−1+51+51−5−1−5−1+500000000000000002ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000000000000000000000
χ1148-88-800-48i−8i−2+25−2−254-442−252+25−2+25−2−252−252+25000000000−4i4i1−51+5−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118−1+5−1−51−51+5−1+5−1−500000000000000002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000
χ1158-88-800-4−8i8i−2−25−2+254-442+252−25−2−25−2+252+252−250000000004i−4i1+51−54ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1184ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ94−1−5−1+51+51−5−1−5−1+50000000000000000−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000000000000000000000
χ1168-88-800-4−8i8i−2+25−2−254-442−252+25−2+25−2−252−252+250000000004i−4i1−51+54ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ118−1+5−1−51−51+5−1+5−1−50000000000000000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000
χ1178-8-888-8-400−2−25−2+2544-4−2−25−2+252+252−252+252−250-44−2−25−2+252+252−2500001+51−500001+51−5−1−5−1+5−1−5−1+5000000001+5−1−51−5−1+500000000000000000000000000000000000000000000000000000000000000000
χ1188-8-888-8-400−2+25−2−2544-4−2+25−2−252−252+252−252+250-44−2+25−2−252−252+2500001−51+500001−51+5−1+5−1−5−1+5−1−5000000001−5−1+51+5−1−500000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-88-400−2−25−2+2544-4−2−25−2+252+252−252+252−2504-42+252−25−2−25−2+2500001+51−500001+51−5−1−5−1+5−1−5−1+500000000−1−51+5−1+51−500000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+2504-42−252+25−2+25−2−2500001−51+500001−51+5−1+5−1−5−1+5−1−500000000−1+51−5−1−51+500000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.