Finite Group Databasebeta

← Group #13101187

Character table — Group #13101187

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1122222222222222244444444444444444444444444444444444455888888888888888888888888888810101010101010101010102020202020202020202020202020202020204040404040404040100100100100
order12244555510101010202020205555881010101010101010202020202020202020202020202040404040404040404410101010202020204040404040404040404040404040404040404040224101010102020202022888810102020404040404040404010101010404040404488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1
χ9111-1-111111111-1-1-1-11111i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-11-1-1-1-111111-1i−ii−i-1-111iiii−i−i−i−i11-1-1ii−i−i1-1i−i
χ10111-1-111111111-1-1-1-11111i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i111111-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-11-1-1-1-11111-11i−i−ii-1-111iiii−i−i−i−i-1-111−i−iii-11−ii
χ11111-1-111111111-1-1-1-11111i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-11111-1-1-1-11-1−iii−i11-1-1−i−i−i−iiiii11-1-1ii−i−i-11−ii
χ12111-1-111111111-1-1-1-11111i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11-11111-1-1-1-1-11−ii−ii11-1-1−i−i−i−iiiii-1-111−i−iii1-1i−i
χ13111-1-111111111-1-1-1-11111−ii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-11-1-1-1-111111-1−ii−ii-1-111−i−i−i−iiiii11-1-1−i−iii1-1−ii
χ14111-1-111111111-1-1-1-11111−ii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-11-1-1-1-11111-11−iii−i-1-111−i−i−i−iiiii-1-111ii−i−i-11i−i
χ15111-1-111111111-1-1-1-11111−ii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-11111-1-1-1-11-1i−i−ii11-1-1iiii−i−i−i−i11-1-1−i−iii-11i−i
χ16111-1-111111111-1-1-1-11111−ii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11-11111-1-1-1-1-11i−ii−i11-1-1iiii−i−i−i−i-1-111ii−i−i1-1−ii
χ172222222−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−522222−1+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+52−1−522222222200−1+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+52−1−52−1−52−1−52−1−52−1−5200000000000220022000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ182222222−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−522222−1+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+52−1−522222222200−1+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+52−1−52−1−52−1−52−1−52−1−5200000000000-2-200-2-20000000000001−521+521−521+521−521+521−521+520000
χ192222222−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52-2-222−1+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+52−1−52-2-2-2-2-2-2-2-200−1+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+521+521+521+521+52000000000002200-2-2000000000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ202222222−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52-2-222−1+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+52−1−52-2-2-2-2-2-2-2-200−1+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+521+521+521+521+5200000000000-2-200220000000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ212222222−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+522222−1−52−1+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+522222222200−1−52−1−52−1+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+52−1+52−1+52−1+52−1+5200000000000220022000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ222222222−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+522222−1−52−1+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+522222222200−1−52−1−52−1+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+52−1+52−1+52−1+52−1+5200000000000-2-200-2-20000000000001+521−521+521−521+521−521+521−520000
χ232222222−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52-2-222−1−52−1+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+52-2-2-2-2-2-2-2-200−1−52−1−52−1+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+521−521−521−521−521−52000000000002200-2-2000000000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ242222222−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52-2-222−1−52−1+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+52-2-2-2-2-2-2-2-200−1−52−1−52−1+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+521−521−521−521−521−5200000000000-2-200220000000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ2522222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002200−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ2622222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+5200-2-2001−521+521−521+521−521−521+521+521−521−521+521+52000000000000
χ2722222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52221−521−521+521+521−521−521+521+5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52-21−521−521+521+52-21−521−521+521+52-21−521−521+521+52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-200−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000
χ2822222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52221−521−521+521+521−521−521+521+52-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+52-21−521−521+521+52-21−521−521+521+52-21−521−521+521+52-2-2-21−521−521+521+521−521−521+521+520022001−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000
χ2922222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+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+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002200−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ3022222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−5200-2-2001+521−521+521−521+521+521−521−521+521+521−521−52000000000000
χ3122222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52221+521+521−521−521+521+521−521−5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−52-21+521+521−521−52-21+521+521−521−52-21+521+521−521−52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-200−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000
χ3222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52221+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+52-21+521+521−521−52-21+521+521−521−52-21+521+521−521−52-21+521+521−521−52-2-2-21+521+521−521−521+521+521−521−520022001+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000
χ33222-2-222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−522i−2i22−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+521−521+522i2i2i2i−2i−2i−2i−2i00−1+52−1+52−1−52−1−521−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7000000000002-2002i−2i000000000000−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000
χ34222-2-222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−522i−2i22−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+521−521+522i2i2i2i−2i−2i−2i−2i00−1+52−1+52−1−52−1−521−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ700000000000-2200−2i2i0000000000001−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000
χ35222-2-222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−2i2i22−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+521−521+52−2i−2i−2i−2i2i2i2i2i00−1+52−1+52−1−52−1−521−521−521+521+52ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7000000000002-200−2i2i000000000000−1+52−1−521−521+52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000
χ36222-2-222−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−2i2i22−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+521−521+52−2i−2i−2i−2i2i2i2i2i00−1+52−1+52−1−52−1−521−521−521+521+52ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ700000000000-22002i−2i0000000000001−521+52−1+52−1−52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000
χ37222-2-222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+522i−2i22−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−521+521−522i2i2i2i−2i−2i−2i−2i00−1−52−1−52−1+52−1+521+521+521−521−52−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19000000000002-2002i−2i000000000000−1−52−1+521+521−52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000
χ38222-2-222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+522i−2i22−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−521+521−522i2i2i2i−2i−2i−2i−2i00−1−52−1−52−1+52−1+521+521+521−521−52−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ1900000000000-2200−2i2i0000000000001+521−52−1−52−1+52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000
χ39222-2-222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−2i2i22−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−521+521−52−2i−2i−2i−2i2i2i2i2i00−1−52−1−52−1+52−1+521+521+521−521−52ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19000000000002-200−2i2i000000000000−1−52−1+521+521−52ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ190000
χ40222-2-222−1−52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+52−2i2i22−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−521+521+521+521+521−521−521−521−521+521−52−2i−2i−2i−2i2i2i2i2i00−1−52−1−52−1+52−1+521+521+521−521−52ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ1900000000000-22002i−2i0000000000001+521−52−1−52−1+52−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ190000
χ41222-2-2−1+52−1−522222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522i−2i−1+52−1−5222−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+52-2-2−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ722−1+52−1−52−1+52−1−521−521+521−521+522i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ72i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7-2-221−521−521+521+52−1+52−1+52−1−52−1−52002i−2i001−521+52−1+52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000000000000
χ42222-2-2−1+52−1−522222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−522i−2i−1+52−1−5222−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+52-2-2−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7-2-2−1+52−1−52−1+52−1−521−521+521−521+522i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ72i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ722-2−1+52−1+52−1−52−1−521−521−521+521+5200−2i2i00−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000000000000
χ43222-2-2−1+52−1−522222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−2i2i−1+52−1−5222−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+52-2-2ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ722−1+52−1−52−1+52−1−521−521+521−521+52−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ72i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ72i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7-2-221−521−521+521+52−1+52−1+52−1−52−1−5200−2i2i001−521+52−1+52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000000000000
χ44222-2-2−1+52−1−522222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−2i2i−1+52−1−5222−1+52−1−52−1+52−1−521−521+52-2-21−521−521+521+521−521−521+521+52-2-2ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7-2-2−1+52−1−52−1+52−1−521−521+521−521+52−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ72i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ72i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ722-2−1+52−1+52−1−52−1−521−521−521+521+52002i−2i00−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000000000000
χ45222-2-2−1−52−1+522222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522i−2i−1−52−1+5222−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−52-2-2−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1922−1−52−1+52−1−52−1+521+521−521+521−522i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ192i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19-2-221+521+521−521−52−1−52−1−52−1+52−1+52002i−2i001+521−52−1−52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000000000000
χ46222-2-2−1−52−1+522222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+522i−2i−1−52−1+5222−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−52-2-2−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19-2-2−1−52−1+52−1−52−1+521+521−521+521−522i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ192i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1922-2−1−52−1−52−1+52−1+521+521+521−521−5200−2i2i00−1−52−1+521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000000000000
χ47222-2-2−1−52−1+522222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−2i2i−1−52−1+5222−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−52-2-2ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1922−1−52−1+52−1−52−1+521+521−521+521−52−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ192i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ192i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19-2-221+521+521−521−52−1−52−1−52−1+52−1+5200−2i2i001+521−52−1−52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000000000000
χ48222-2-2−1−52−1+522222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−2i2i−1−52−1+5222−1−52−1+52−1−52−1+521+521−52-2-21+521+521−521−521+521+521−521−52-2-2ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19-2-2−1−52−1+52−1−52−1+521+521−521+521−52−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−2iζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ192i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ192i−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1922-2−1−52−1−52−1+52−1+521+521+521−521−52002i−2i00−1−52−1+521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000000000000
χ4922-22-2222222222222222200-2-2-2-22222-2-22222222222-2-20000000022-2-2-2-2-2-2-2-2000000000000000000002-2-222222222000000-2-2-2-200000000000000000000
χ5022-22-2222222222222222200-2-2-2-22222-2-22222222222-2-200000000-2-2-2-2-2-2-2-2-2-200000000000000000000-222-2-2-2-2-2-2-2-2000000222200000000000000000000
χ5122-22-2−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52001−521+52-2-2−1+52−1−52−1+52−1−521−521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18221−521+521−521+521−521+521−521+520ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ182-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ5222-22-2−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52001−521+52-2-2−1+52−1−52−1+52−1−521−521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18-2-21−521+521−521+521−521+521−521+520ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18-2221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000000000
χ5322-22-2−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52001−521+52-2-2−1+52−1−52−1+52−1−521−521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18221−521+521−521+521−521+521−521+520−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ182-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18000000000000
χ5422-22-2−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52001−521+52-2-2−1+52−1−52−1+52−1−521−521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18-2-21−521+521−521+521−521+521−521+520−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18-2221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18000000000000
χ5522-22-2−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52001+521−52-2-2−1−52−1+52−1−52−1+521+521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14221+521−521+521−521+521−521+521−520−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ142-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000
χ5622-22-2−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52001+521−52-2-2−1−52−1+52−1−52−1+521+521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14-2-21+521−521+521−521+521−521+521−520−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14-2221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000
χ5722-22-2−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52001+521−52-2-2−1−52−1+52−1−52−1+521+521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14221+521−521+521−521+521−521+521−520ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ142-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14000000000000
χ5822-22-2−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52001+521−52-2-2−1−52−1+52−1−52−1+521+521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14-2-21+521−521+521−521+521−521+521−520ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14-2221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14000000000000
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χ1198-8000−2+25−2−25−2−25−2+252+252−252−252+25−4ζ11+4ζ194ζ11−4ζ194ζ3−4ζ7−4ζ3+4ζ7-23+53−5-20000002−3−5−3+520000−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8000−2+25−2−25−2−25−2+252+252−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7-23+53−5-20000002−3−5−3+5200002ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8000−2−25−2+25−2+25−2−252−252+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19-23−53+5-20000002−3+5−3−520000−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8000−2−25−2+25−2+25−2−252−252+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19-23−53+5-20000002−3+5−3−5200002ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8000−2−25−2+25−2−25−2+252+252−252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ193+5-2-23−5000000−3−522−3+500002ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ11+2ζ19−2ζ3+2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8000−2−25−2+25−2−25−2+252+252−252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ193+5-2-23−5000000−3−522−3+50000−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ7+2ζ11−2ζ192ζ3−2ζ7−2ζ11+2ζ192ζ3−2ζ7+2ζ11−2ζ19−2ζ3+2ζ7−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.