Finite Group Databasebeta

← Group #72223159

Character table — Group #72223159

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111122224444444444444444488888888888888888888888888888888888888882020202020202020252525254040404040404040404040404040404050505050100100100100100100100100100200200200200
order1222444445510101010101020202020202020205510101010101020202020202020202020202020202020202020202020202020202020202020208888888822224040404040404040404040404040404044444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ511111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1ii−i−iii−i−i−i−iii
χ611111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1−i−iii−i−iiiii−i−i
χ711111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1
χ811111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111
χ911111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-11-11-1
χ1011111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11111-11-11
χ1111111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111ii−i−i−i−iiii−i−ii
χ1211111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111−i−iiiii−i−i−iii−i
χ1311111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111ii−i−i−i−iii−iii−i
χ1411111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111−i−iiiii−i−ii−i−ii
χ1511111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-11111-1-1-1-1-11-11
χ1611111-1-11-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-111111-11-1
χ172222-222-2-222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000022220000000000000000-2-222-2000000000000
χ182222-222-2-222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000022-2-22000000000000
χ192222-2-2-2-2222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000022220000000000000000-2-2-2-22000000000000
χ202222-2-2-2-2222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000-2-2-2-200000000000000002222-2000000000000
χ2122-2-202-2002222-2-2-2-2000000002222-2-2-2-222-2-20000000000002222-2-2-2-2000000002−22−22−22−222-2-222−2−222−2−222−2−222−2−2002-20000000000000
χ2222-2-202-2002222-2-2-2-2000000002222-2-2-2-222-2-20000000000002222-2-2-2-2000000002−22−2−22−22-2-22222−2−222−2−2−2−222−2−22200-220000000000000
χ2322-2-202-2002222-2-2-2-2000000002222-2-2-2-222-2-20000000000002222-2-2-2-200000000−22−222−22−2-2-222−2−222−2−22222−2−222−2−200-220000000000000
χ2422-2-202-2002222-2-2-2-2000000002222-2-2-2-222-2-20000000000002222-2-2-2-200000000−22−22−22−2222-2-2−2−222−2−222−2−222−2−222002-20000000000000
χ2522-2-20-22002222-2-2-2-2000000002222-2-2-2-2-2-222000000000000-2-2-2-22222000000002−2−222−2−2222-2-222−2−2−2−22222−2−2−2−22200-220000000000000
χ2622-2-20-22002222-2-2-2-2000000002222-2-2-2-2-2-222000000000000-2-2-2-22222000000002−2−22−222−2-2-22222−2−2−2−222−2−22222−2−2002-20000000000000
χ2722-2-20-22002222-2-2-2-2000000002222-2-2-2-2-2-222000000000000-2-2-2-2222200000000−222−22−2−22-2-222−2−22222−2−222−2−2−2−222002-20000000000000
χ2822-2-20-22002222-2-2-2-2000000002222-2-2-2-2-2-222000000000000-2-2-2-2222200000000−222−2−222−222-2-2−2−22222−2−2−2−22222−2−200-220000000000000
χ292-22-2200-2022-2-222-2-22222-2-2-2-222-2-222-2-2000000002222-2-2-2-20000000000000000000000002-22-200000000000000002-20002-22-200000000
χ302-22-2200-2022-2-222-2-22222-2-2-2-222-2-222-2-2000000002222-2-2-2-20000000000000000000000002-22-200000000000000002-2000-22-2200000000
χ312-22-2200-2022-2-222-2-22222-2-2-2-222-2-222-2-2000000002222-2-2-2-2000000000000000000000000-22-220000000000000000-220002i−2i−2i2i00000000
χ322-22-2200-2022-2-222-2-22222-2-2-2-222-2-222-2-2000000002222-2-2-2-2000000000000000000000000-22-220000000000000000-22000−2i2i2i−2i00000000
χ332-22-2-2002022-2-222-2-2-2-2-2-2222222-2-222-2-200000000-2-2-2-222220000000000000000000000002-22-20000000000000000-2200000002i−2i2i−2i0000
χ342-22-2-2002022-2-222-2-2-2-2-2-2222222-2-222-2-200000000-2-2-2-222220000000000000000000000002-22-20000000000000000-220000000−2i2i−2i2i0000
χ352-22-2-2002022-2-222-2-2-2-2-2-2222222-2-222-2-200000000-2-2-2-22222000000000000000000000000-22-2200000000000000002-200000002-2-220000
χ362-22-2-2002022-2-222-2-2-2-2-2-2222222-2-222-2-200000000-2-2-2-22222000000000000000000000000-22-2200000000000000002-20000000-222-20000
χ374444444444-14-14-14-144-1-144-1-1-1-1-1-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100004444000000000000-1-1-1-1-1-1-1-100000000000000000
χ384444444444-14-14-14-144-1-144-1-1-1-1-1-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-4-4-4-40000000000001111111100000000000000000
χ39444444444-14-14-14-14-1-144-1-144-1-1-1-1-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444400000000-1-1-1-1-1-1-1-10000000000000000000000000
χ40444444444-14-14-14-14-1-144-1-144-1-1-1-1-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-400000000111111110000000000000000000000000
χ4144444-4-44-44-14-14-14-144-1-144-1-1-1-1-1-1-1-1-1-1-41-41-4-411-1-1-1-1-1-1-1-11111111111111111000044-4-4000000000000-1-1-1-1111100000000000000000
χ4244444-4-44-44-14-14-14-144-1-144-1-1-1-1-1-1-1-1-1-1-41-41-4-411-1-1-1-1-1-1-1-111111111111111110000-4-4440000000000001111-1-1-1-100000000000000000
χ4344444-4-44-4-14-14-14-14-1-144-1-144-1-1-1-1-1-1-1-11-41-411-4-4-1-1-1-1-1-1-1-1111111111111111144-4-400000000-1-1-1-111110000000000000000000000000
χ4444444-4-44-4-14-14-14-14-1-144-1-144-1-1-1-1-1-1-1-11-41-411-4-4-1-1-1-1-1-1-1-11111111111111111-4-444000000001111-1-1-1-10000000000000000000000000
χ454444-444-4-44-14-14-14-1-4-411-4-411-1-1-1-1-1-1-1-14-14-1-4-41111111111-1-1-1-1-1-1-1-11111111100000000000000000000i5−i5i5−i5i5−i5i5−i500000000000000000
χ464444-444-4-44-14-14-14-1-4-411-4-411-1-1-1-1-1-1-1-14-14-1-4-41111111111-1-1-1-1-1-1-1-11111111100000000000000000000−i5i5−i5i5−i5i5−i5i500000000000000000
χ474444-444-4-4-14-14-14-1411-4-411-4-4-1-1-1-1-1-1-1-1-14-1411-4-411111111-1-1-1-1-1-1-1-111111111000000000000i5−i5i5−i5i5−i5i5−i50000000000000000000000000
χ484444-444-4-4-14-14-14-1411-4-411-4-4-1-1-1-1-1-1-1-1-14-1411-4-411111111-1-1-1-1-1-1-1-111111111000000000000−i5i5−i5i5−i5i5−i5i50000000000000000000000000
χ494444-4-4-4-444-14-14-14-1-4-411-4-411-1-1-1-1-1-1-1-1-41-4144-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000i5−i5i5−i5−i5i5−i5i500000000000000000
χ504444-4-4-4-444-14-14-14-1-4-411-4-411-1-1-1-1-1-1-1-1-41-4144-1-11111111111111111-1-1-1-1-1-1-1-100000000000000000000−i5i5−i5i5i5−i5i5−i500000000000000000
χ514444-4-4-4-44-14-14-14-1411-4-411-4-4-1-1-1-1-1-1-1-11-41-4-1-1441111111111111111-1-1-1-1-1-1-1-1000000000000i5−i5i5−i5−i5i5−i5i50000000000000000000000000
χ524444-4-4-4-44-14-14-14-1411-4-411-4-4-1-1-1-1-1-1-1-11-41-4-1-1441111111111111111-1-1-1-1-1-1-1-1000000000000−i5i5−i5i5i5−i5i5−i50000000000000000000000000
χ5344-4-404-4004-14-1-41-4100i5−i500i5−i5-1-1-1-111114-1-4100i5−i5i5i5−i5−i5i5i5−i5−i5-1-1-1-11111i5i5i5i5−i5−i5−i5−i5000022−2222−22000000000000−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ3900000000000000000
χ5444-4-404-4004-14-1-41-4100i5−i500i5−i5-1-1-1-111114-1-4100i5−i5i5i5−i5−i5i5i5−i5−i5-1-1-1-11111i5i5i5i5−i5−i5−i5−i50000−2222−2222000000000000ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ3900000000000000000
χ5544-4-404-4004-14-1-41-4100−i5i500−i5i5-1-1-1-111114-1-4100−i5i5−i5−i5i5i5−i5−i5i5i5-1-1-1-11111−i5−i5−i5−i5i5i5i5i5000022−2222−22000000000000ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ2900000000000000000
χ5644-4-404-4004-14-1-41-4100−i5i500−i5i5-1-1-1-111114-1-4100−i5i5−i5−i5i5i5−i5−i5i5i5-1-1-1-11111−i5−i5−i5−i5i5i5i5i50000−2222−2222000000000000−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ2900000000000000000
χ5744-4-404-400-14-141-41-4i5−i500i5−i500-1-1-1-11111-141-4i5−i500i5−i5i5−i5i5−i5i5−i5-1-1-1-11111i5i5−i5−i5i5i5−i5−i522−2222−2200000000−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ390000000000000000000000000
χ5844-4-404-400-14-141-41-4i5−i500i5−i500-1-1-1-11111-141-4i5−i500i5−i5i5−i5i5−i5i5−i5-1-1-1-11111i5i5−i5−i5i5i5−i5−i5−2222−222200000000ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ390000000000000000000000000
χ5944-4-404-400-14-141-41-4−i5i500−i5i500-1-1-1-11111-141-4−i5i500−i5i5−i5i5−i5i5−i5i5-1-1-1-11111−i5−i5i5i5−i5−i5i5i522−2222−2200000000ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ290000000000000000000000000
χ6044-4-404-400-14-141-41-4−i5i500−i5i500-1-1-1-11111-141-4−i5i500−i5i5−i5i5−i5i5−i5i5-1-1-1-11111−i5−i5i5i5−i5−i5i5i5−2222−222200000000−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ290000000000000000000000000
χ6144-4-40-44004-14-1-41-4100i5−i500i5−i5-1-1-1-11111-414-100−i5i5i5i5−i5−i5i5i5−i5−i51111-1-1-1-1−i5−i5−i5−i5i5i5i5i5000022−22−2222000000000000−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ3900000000000000000
χ6244-4-40-44004-14-1-41-4100i5−i500i5−i5-1-1-1-11111-414-100−i5i5i5i5−i5−i5i5i5−i5−i51111-1-1-1-1−i5−i5−i5−i5i5i5i5i50000−222222−22000000000000ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ3900000000000000000
χ6344-4-40-44004-14-1-41-4100−i5i500−i5i5-1-1-1-11111-414-100i5−i5−i5−i5i5i5−i5−i5i5i51111-1-1-1-1i5i5i5i5−i5−i5−i5−i5000022−22−2222000000000000ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ2900000000000000000
χ6444-4-40-44004-14-1-41-4100−i5i500−i5i5-1-1-1-11111-414-100i5−i5−i5−i5i5i5−i5−i5i5i51111-1-1-1-1i5i5i5i5−i5−i5−i5−i50000−222222−22000000000000−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ2900000000000000000
χ6544-4-40-4400-14-141-41-4i5−i500i5−i500-1-1-1-111111-4-14−i5i500i5−i5i5−i5i5−i5i5−i51111-1-1-1-1−i5−i5i5i5−i5−i5i5i522−22−222200000000−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ390000000000000000000000000
χ6644-4-40-4400-14-141-41-4i5−i500i5−i500-1-1-1-111111-4-14−i5i500i5−i5i5−i5i5−i5i5−i51111-1-1-1-1−i5−i5i5i5−i5−i5i5i5−222222−2200000000ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ390000000000000000000000000
χ6744-4-40-4400-14-141-41-4−i5i500−i5i500-1-1-1-111111-4-14i5−i500−i5i5−i5i5−i5i5−i5i51111-1-1-1-1i5i5−i5−i5i5i5−i5−i522−22−222200000000ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ290000000000000000000000000
χ6844-4-40-4400-14-141-41-4−i5i500−i5i500-1-1-1-111111-4-14i5−i500−i5i5−i5i5−i5i5−i5i51111-1-1-1-1i5i5−i5−i5i5i5−i5−i5−222222−2200000000−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29ζ13−ζ31+ζ37−ζ39−ζ7+ζ21−ζ23+ζ29−ζ13+ζ31−ζ37+ζ39ζ7−ζ21+ζ23−ζ290000000000000000000000000
χ694-4-440000044-4-4-4-4440000000044-4-4-4-44400000000000000000000000000000000000000004-4-44000000000000000000000000000000000
χ704-4-440000044-4-4-4-4440000000044-4-4-4-4440000000000000000000000000000000000000000-444-4000000000000000000000000000000000
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χ72888888888-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23-23-23-23-2-2-2-2-2-2-2-2-233-2-233-2-2-233-2-233-2-23333-2-2000000000000000000000000000000000000000000000
χ7388888-8-88-8-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23-23-23-23-2222222223-2-233-2-23-3-322-3-322-3-32222-3-3000000000000000000000000000000000000000000000
χ7488888-8-88-8-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-23-23-23-2322222222-233-2-233-222-3-322-3-322-3-3-3-322000000000000000000000000000000000000000000000
χ758888-888-8-8-2-2-2-2-2-2-2-2222222223-23-23-23-2-2-2-2-22222-322-3-322-333-2-233-2-2-3-32222-3-3000000000000000000000000000000000000000000000
χ768888-888-8-8-2-2-2-2-2-2-2-222222222-23-23-23-23-2-2-2-222222-3-322-3-32-2-233-2-23322-3-3-3-322000000000000000000000000000000000000000000000
χ778888-8-8-8-88-2-2-2-2-2-2-2-2222222223-23-23-23-22222-2-2-2-2-322-3-322-3-3-322-3-32233-2-2-2-233000000000000000000000000000000000000000000000
χ788888-8-8-8-88-2-2-2-2-2-2-2-222222222-23-23-23-232222-2-2-2-22-3-322-3-3222-3-322-3-3-2-23333-2-2000000000000000000000000000000000000000000000
χ7988-8-808-800-2-2-2-222222i5−2i52i5−2i52i5−2i52i5−2i53-23-2-32-32-2-2222i5−2i52i5−2i5−i500i5−i500i533-2-2-3-322−i5−i50000i5i5000000000000000000000000000000000000000000000
χ8088-8-808-800-2-2-2-222222i5−2i5−2i52i52i5−2i5−2i52i5-23-232-32-3-2-2222i5−2i5−2i52i50i5−i500i5−i50-2-23322-3-300i5i5−i5−i500000000000000000000000000000000000000000000000
χ8188-8-808-800-2-2-2-22222−2i52i52i5−2i5−2i52i52i5−2i5-23-232-32-3-2-222−2i52i52i5−2i50−i5i500−i5i50-2-23322-3-300−i5−i5i5i500000000000000000000000000000000000000000000000
χ8288-8-808-800-2-2-2-22222−2i52i5−2i52i5−2i52i5−2i52i53-23-2-32-32-2-222−2i52i5−2i52i5i500−i5i500−i533-2-2-3-322i5i50000−i5−i5000000000000000000000000000000000000000000000
χ8388-8-80-8800-2-2-2-222222i5−2i52i5−2i52i5−2i52i5−2i53-23-2-32-3222-2-2−2i52i5−2i52i5−i500i5−i500i5-3-32233-2-2i5i50000−i5−i5000000000000000000000000000000000000000000000
χ8488-8-80-8800-2-2-2-222222i5−2i5−2i52i52i5−2i5−2i52i5-23-232-32-322-2-2−2i52i52i5−2i50i5−i500i5−i5022-3-3-2-23300−i5−i5i5i500000000000000000000000000000000000000000000000
χ8588-8-80-8800-2-2-2-22222−2i52i52i5−2i5−2i52i52i5−2i5-23-232-32-322-2-22i5−2i5−2i52i50−i5i500−i5i5022-3-3-2-23300i5i5−i5−i500000000000000000000000000000000000000000000000
χ8688-8-80-8800-2-2-2-22222−2i52i5−2i52i5−2i52i5−2i52i53-23-2-32-3222-2-22i5−2i52i5−2i5i500−i5i500−i5-3-32233-2-2−i5−i50000i5i5000000000000000000000000000000000000000000000
χ878-88-8800-808-2-828-2-8288-2-2-8-822-2-222-2-22200000000-2-2-2-222220000000000000000000000000000000000000000000000000000000000000
χ888-88-8800-80-282-8-282-8-2-28822-8-8-2-222-2-22200000000-2-2-2-222220000000000000000000000000000000000000000000000000000000000000
χ898-88-8800-80-2-222-2-222-2-2-2-222223-2-323-2-32000000003-2-23-322-3i5−i52i5−2i5i5−i52i5−2i5i5−i52i5−2i52i5−2i5i5−i5000000000000000000000000000000000000000000000
χ908-88-8800-80-2-222-2-222-2-2-2-222223-2-323-2-32000000003-2-23-322-3−i5i5−2i52i5−i5i5−2i52i5−i5i5−2i52i5−2i52i5−i5i5000000000000000000000000000000000000000000000
χ918-88-8800-80-2-222-2-222-2-2-2-22222-232-3-232-300000000-233-22-3-322i5−2i5−i5i52i5−2i5−i5i52i5−2i5−i5i5−i5i52i5−2i5000000000000000000000000000000000000000000000
χ928-88-8800-80-2-222-2-222-2-2-2-22222-232-3-232-300000000-233-22-3-32−2i52i5i5−i5−2i52i5i5−i5−2i52i5i5−i5i5−i5−2i52i5000000000000000000000000000000000000000000000
χ938-88-8-800808-2-828-2-82-8-82288-2-2-2-222-2-222000000002222-2-2-2-20000000000000000000000000000000000000000000000000000000000000
χ948-88-8-80080-282-8-282-822-8-8-2-288-2-222-2-222000000002222-2-2-2-20000000000000000000000000000000000000000000000000000000000000
χ958-88-8-80080-2-222-2-2222222-2-2-2-23-2-323-2-3200000000-322-33-2-23i5−i52i5−2i5i5−i52i5−2i5−i5i5−2i52i5−2i52i5−i5i5000000000000000000000000000000000000000000000
χ968-88-8-80080-2-222-2-2222222-2-2-2-23-2-323-2-3200000000-322-33-2-23−i5i5−2i52i5−i5i5−2i52i5i5−i52i5−2i52i5−2i5i5−i5000000000000000000000000000000000000000000000
χ978-88-8-80080-2-222-2-2222222-2-2-2-2-232-3-232-3000000002-3-32-233-22i5−2i5−i5i52i5−2i5−i5i5−2i52i5i5−i5i5−i5−2i52i5000000000000000000000000000000000000000000000
χ988-88-8-80080-2-222-2-2222222-2-2-2-2-232-3-232-3000000002-3-32-233-2−2i52i5i5−i5−2i52i5i5−i52i5−2i5−i5i5−i5i52i5−2i5000000000000000000000000000000000000000000000
χ998-8-88000008-2-82-828-2002i5−2i500−2i52i5-2-22222-2-2000000002i52i5−2i5−2i5−2i5−2i52i52i50000000000000000000000000000000000000000000000000000000000000
χ1008-8-88000008-2-82-828-200−2i52i5002i5−2i5-2-22222-2-200000000−2i5−2i52i52i52i52i5−2i5−2i50000000000000000000000000000000000000000000000000000000000000
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χ1028-8-8800000-282-82-8-28−2i52i5002i5−2i500-2-22222-2-200000000−2i52i5−2i52i52i5−2i52i5−2i50000000000000000000000000000000000000000000000000000000000000
χ1038-8-8800000-2-22222-2-22i5−2i52i5−2i5−2i52i5−2i52i53-2-32-323-200000000−i500i5i500−i5i5−i52i5−2i5−i5i5−2i52i5-5500005-5000000000000000000000000000000000000000000000
χ1048-8-8800000-2-22222-2-22i5−2i52i5−2i5−2i52i5−2i52i53-2-32-323-200000000−i500i5i500−i5−i5i5−2i52i5i5−i52i5−2i55-50000-55000000000000000000000000000000000000000000000
χ1058-8-8800000-2-22222-2-22i5−2i5−2i52i5−2i52i52i5−2i5-232-32-3-23000000000i5−i500−i5i502i5−2i5−i5i5−2i52i5i5−i500-555-500000000000000000000000000000000000000000000000
χ1068-8-8800000-2-22222-2-22i5−2i5−2i52i5−2i52i52i5−2i5-232-32-3-23000000000i5−i500−i5i50−2i52i5i5−i52i5−2i5−i5i5005-5-5500000000000000000000000000000000000000000000000
χ1078-8-8800000-2-22222-2-2−2i52i52i5−2i52i5−2i5−2i52i5-232-32-3-23000000000−i5i500i5−i502i5−2i5−i5i5−2i52i5i5−i5005-5-5500000000000000000000000000000000000000000000000
χ1088-8-8800000-2-22222-2-2−2i52i52i5−2i52i5−2i5−2i52i5-232-32-3-23000000000−i5i500i5−i50−2i52i5i5−i52i5−2i5−i5i500-555-500000000000000000000000000000000000000000000000
χ1098-8-8800000-2-22222-2-2−2i52i5−2i52i52i5−2i52i5−2i53-2-32-323-200000000i500−i5−i500i5i5−i52i5−2i5−i5i5−2i52i55-50000-55000000000000000000000000000000000000000000000
χ1108-8-8800000-2-22222-2-2−2i52i5−2i52i52i5−2i52i5−2i53-2-32-323-200000000i500−i5−i500i5−i5i5−2i52i5i5−i52i5−2i5-5500005-5000000000000000000000000000000000000000000000

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