Finite Group Databasebeta

← Group #72221760

Character table — Group #72221760

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119
size112222222222244444444888888888888888888888888888888888888888888810101010202020202020202020202020202040404040404040404040404040404040404040404040404080808080100100100100100100200200200
order122445510102020202051010101010202045510101010101020202020202020202020202020202020202020202020202020202020202020202020224422444410101010202020204488202020202020202020202020404040404040404010102020224444288
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111111111111111111111111111111111111111111111111111111111-1-1-1-111ii−i−i-1-1-1-1-1-1-1-11-1i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1ii−i−i-1i−i
χ61111111111111111111111111111111111111111111111111111111111111111-1-1-1-111−i−iii-1-1-1-1-1-1-1-11-1−ii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1−i−iii-1−ii
χ71111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1-1-1i−i-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111−i−iii1−ii
χ81111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1-1-1−ii-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111ii−i−i1i−i
χ9111111111111111111111-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1
χ10111111111111111111111-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-111
χ11111111111111111111111-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ12111111111111111111111-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111-1-1
χ13111111111111111111111-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-1-11−ii1111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1ii−i−i1−ii
χ14111111111111111111111-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-1-11i−i1111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1−i−iii1i−i
χ15111111111111111111111-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-111−ii1111iiii−i−i−i−i−i−i−i−iiiii-1-11111−i−iii-1i−i
χ16111111111111111111111-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-111i−i1111−i−i−i−iiiiiiiii−i−i−i−i-1-11111ii−i−i-1−ii
χ1722222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−522−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−522222002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520222−1+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+52−1−52−1−520000000000000
χ1822222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−522−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222200-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5202-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000
χ1922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−522−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-2002i2i−2i−2i1−521+521−521+521−521+521−521+520-22i−2i1−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000000000
χ2022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−522−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-200−2i−2i2i2i1−521+521−521+521−521+521−521+520-2−2i2i1−521−521+521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000000000
χ2122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−52-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521+521+5222−1+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+522222002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-2-2-21−521−521+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+520000000000000
χ2222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−52-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521+521+5222−1+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+52222200-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520-2221−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000
χ2322222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−52-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521+521+5222−1+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+52-2-2-2-2002i2i−2i−2i1−521+521−521+521−521+521−521+5202−2i2i−1+52−1+52−1−52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000000000
χ2422222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−52-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-21−521−521+521+5222−1+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+52-2-2-2-200−2i−2i2i2i1−521+521−521+521−521+521−521+52022i−2i−1+52−1+52−1−52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000000000
χ2522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+522−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+522222002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520222−1−52−1−52−1+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+520000000000000
χ2622222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+522−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52222200-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5202-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000
χ2722222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+522−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-2002i2i−2i−2i1+521−521+521−521+521−521+521−520-22i−2i1+521+521−521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000000000
χ2822222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+522−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-200−2i−2i2i2i1+521−521+521−521+521−521+521−520-2−2i2i1+521+521−521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000000000
χ2922222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+52-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−522222002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520-2-2-21+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+521−521−520000000000000
χ3022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+52-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52222200-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520-2221+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+520000000000000
χ3122222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+52-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2-2-2002i2i−2i−2i1+521−521+521−521+521−521+521−5202−2i2i−1−52−1−52−1+52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000000000
χ3222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+52-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-21+521+521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-2-2-200−2i−2i2i2i1+521−521+521−521+521−521+521−52022i−2i−1−52−1−52−1+52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000000000
χ33222-2-22222-2-2-2-2222222-2-202222222200000000-2-2-2-2-2-2-2-2-2-2000000000000000022-2-22-200002222-2-2-2-20000000000000000000000002-2002-20000000
χ34222-2-22222-2-2-2-2222222-2-202222222200000000-2-2-2-2-2-2-2-2-2-2000000000000000022-2-2-2200002222-2-2-2-2000000000000000000000000-2200-220000000
χ35222-2-22222-2-2-2-2222222-2-202222222200000000-2-2-2-2-2-2-2-2-2-20000000000000000-2-2222-20000-2-2-2-222220000000000000000000000002-200-220000000
χ36222-2-22222-2-2-2-2222222-2-202222222200000000-2-2-2-2-2-2-2-2-2-20000000000000000-2-222-220000-2-2-2-22222000000000000000000000000-22002-20000000
χ3722-22-2222222222-2-2-2-22-2-20222-2-22-2-2000000002-222-2-222-2-200000000000000002-22-2002i−2i2i−2i22-2-2-2-222000000002i−2i2i−2i2i−2i2i−2i000000000000000000000
χ3822-22-2222222222-2-2-2-22-2-20222-2-22-2-2000000002-222-2-222-2-200000000000000002-22-200−2i2i−2i2i22-2-2-2-22200000000−2i2i−2i2i−2i2i−2i2i000000000000000000000
χ3922-22-2222222222-2-2-2-22-2-20222-2-22-2-2000000002-222-2-222-2-20000000000000000-22-22002-2-22-2-22222-2-2000000002-22-2-22-22000000000000000000000
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χ1088-8000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7-2−25250020001−521+52−1+52−5+525−52−1−525+52−5−52−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7000000−ζ11+ζ19ζ11−ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−ζ2−ζ3+ζ6+ζ7+ζ14−ζ183ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ19−ζ2+ζ3+ζ6−ζ7+ζ14−ζ18ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ193ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ190000000000000000000000000000000000000000000000000000000
χ1098-8000−2+25−2−252−252+254ζ11−4ζ19−4ζ11+4ζ19−4ζ3+4ζ74ζ3−4ζ7-2−25250020001−521+52−1+52−5+525−52−1−525+52−5−522ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7000000−ζ11+ζ19ζ11−ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−ζ2−ζ3+ζ6+ζ7+ζ14−ζ18ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ193ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−ζ2+ζ3+ζ6−ζ7+ζ14−ζ183ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ19−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ190000000000000000000000000000000000000000000000000000000
χ1108-8000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ1980000-8000−2−25−2+252+25002−250000000000004ζ3−4ζ7−4ζ3+4ζ7004ζ11−4ζ19−4ζ11+4ζ190000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19-225−250020001+521−52−1−52−5−525+52−1+525−52−5+522ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ19000000−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−ζ11+ζ19ζ11−ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ19−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ193ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−ζ2−ζ3+ζ6+ζ7+ζ14−ζ183ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ19−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ19−ζ2+ζ3+ζ6−ζ7+ζ14−ζ18ζ2−ζ3−ζ6+ζ7−ζ14+ζ180000000000000000000000000000000000000000000000000000000
χ1128-8000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19-225−250020001+521−52−1−52−5−525+52−1+525−52−5+52−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19000000−ζ3+ζ7ζ3−ζ7−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19−ζ11+ζ19ζ11−ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ193ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ19−ζ2−ζ3+ζ6+ζ7+ζ14−ζ18ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ193ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ19ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−ζ2+ζ3+ζ6−ζ7+ζ14−ζ180000000000000000000000000000000000000000000000000000000
χ1138-8000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19-2−25250020001+521−52−1−525+52−5−52−1+52−5+525−52−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7000000−ζ3+ζ7ζ3−ζ7ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ19−ζ11+ζ19ζ11−ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−ζ2−ζ3+ζ6+ζ7+ζ14−ζ183ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ19−ζ2+ζ3+ζ6−ζ7+ζ14−ζ18ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ193ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ190000000000000000000000000000000000000000000000000000000
χ1148-8000−2−25−2+252+252−254ζ3−4ζ7−4ζ3+4ζ74ζ11−4ζ19−4ζ11+4ζ19-2−25250020001+521−52−1−525+52−5−52−1+52−5+525−522ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7000000−ζ3+ζ7ζ3−ζ7ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ19−ζ11+ζ19ζ11−ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ19−ζ2−ζ3+ζ6+ζ7+ζ14−ζ18ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ193ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−ζ2+ζ3+ζ6−ζ7+ζ14−ζ183ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ19−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ190000000000000000000000000000000000000000000000000000000
χ1158-8000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ1980000-8000−2−25−2+252+25002−25000000000000−4ζ3+4ζ74ζ3−4ζ700−4ζ11+4ζ194ζ11−4ζ190000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19-225−250020001+521−52−1−52−5−525+52−1+525−52−5+522ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ19000000ζ3−ζ7−ζ3+ζ7ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ19ζ11−ζ19−ζ11+ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ193ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ19−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ19−ζ2+ζ3+ζ6−ζ7+ζ14−ζ18ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ193ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−ζ2−ζ3+ζ6+ζ7+ζ14−ζ180000000000000000000000000000000000000000000000000000000
χ1178-8000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19-225−250020001+521−52−1−52−5−525+52−1+525−52−5+52−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19000000ζ3−ζ7−ζ3+ζ7ζ3−ζ7+2ζ11−2ζ19−ζ3+ζ7−2ζ11+2ζ19ζ11−ζ19−ζ11+ζ192ζ3−2ζ7−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ19−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ193ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ19ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−ζ2+ζ3+ζ6−ζ7+ζ14−ζ183ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ19−ζ2−ζ3+ζ6+ζ7+ζ14−ζ18ζ2+ζ3−ζ6−ζ7−ζ14+ζ180000000000000000000000000000000000000000000000000000000
χ1188-8000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19-2−25250020001+521−52−1−525+52−5−52−1+52−5+525−52−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7000000ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19ζ11−ζ19−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ19−ζ2+ζ3+ζ6−ζ7+ζ14−ζ18ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ193ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ19ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−ζ2−ζ3+ζ6+ζ7+ζ14−ζ183ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ19−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ190000000000000000000000000000000000000000000000000000000
χ1198-8000−2−25−2+252+252−25−4ζ3+4ζ74ζ3−4ζ7−4ζ11+4ζ194ζ11−4ζ19-2−25250020001+521−52−1−525+52−5−52−1+52−5+525−522ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7000000ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−2ζ11+2ζ19ζ3−ζ7+2ζ11−2ζ19ζ11−ζ19−ζ11+ζ19−2ζ3+2ζ7+ζ11−ζ192ζ3−2ζ7−ζ11+ζ19−2ζ2+ζ3−3ζ6−ζ7−ζ11−3ζ14−2ζ18+ζ192ζ2−ζ3+3ζ6+ζ7+ζ11+3ζ14+2ζ18−ζ19−ζ2+ζ6+ζ11+ζ14−ζ18−ζ19ζ2−ζ6−ζ11−ζ14+ζ18+ζ192ζ2+ζ3+3ζ6−ζ7−ζ11+3ζ14+2ζ18+ζ19−2ζ2−ζ3−3ζ6+ζ7+ζ11−3ζ14−2ζ18−ζ19ζ2−ζ6+ζ11−ζ14+ζ18−ζ19−ζ2+ζ6−ζ11+ζ14−ζ18+ζ19ζ2−ζ3−ζ6+ζ7−ζ14+ζ18−ζ2+ζ3+ζ6−ζ7+ζ14−ζ183ζ2−ζ3+2ζ6+ζ7−ζ11+2ζ14+3ζ18+ζ19−3ζ2+ζ3−2ζ6−ζ7+ζ11−2ζ14−3ζ18−ζ19−ζ2−ζ3+ζ6+ζ7+ζ14−ζ18ζ2+ζ3−ζ6−ζ7−ζ14+ζ18−3ζ2−ζ3−2ζ6+ζ7−ζ11−2ζ14−3ζ18+ζ193ζ2+ζ3+2ζ6−ζ7+ζ11+2ζ14+3ζ18−ζ190000000000000000000000000000000000000000000000000000000

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