Finite Group Databasebeta

← Group #13085663

Character table — Group #13085663

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222224444444444444444444466666666666666666666888888889999101012121212121212121212121212121212121212121818181818181818202020202020202030303030606060609090
order12443355661010121212122020202036121215151515303030306060606060606060248810101010202020204040404040404040151530306060606088888861224243030303060606060120120120120120120120120404040404040404024242424242424242488612242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−ii−i1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−iii−i−i1-1i−i1-1i−i-11
χ1011-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i−ii1-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii−i−iii-11−ii-11−ii1-1
χ1111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iiii−i1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−iii−i−i-11i−i-11i−i1-1
χ1211-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−ii1-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii−i−iii1-1−ii1-1−ii-11
χ1311-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iiii−i-11i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−ii−iii−i−i1-1−ii1-1−ii1-1
χ1411-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iii−ii-11i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−ii−ii−i−iii-11i−i-11i−i-11
χ1511-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−ii−i-11−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−ii−iii−i−i-11−ii-11−ii-11
χ1611-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−i−ii-11−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−ii−ii−i−iii1-1i−i1-1i−i1-1
χ17222222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−522222−1+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+52−1−52−1−522222002222−1+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
χ18222222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-20022-2-2−1+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
χ19222222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-200-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ20222222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−52-2-2-2-21−521−521+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+52−1−52−1−52222200-2-2-2-21−521−521+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
χ21222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+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+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+522222002222−1−52−1−52−1+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
χ22222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+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+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-20022-2-2−1−52−1−52−1+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
χ23222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+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+52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-200-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ24222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+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+52-2-2-2-21+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+52222200-2-2-2-21+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
χ2522222-1222-122-1-1222222-1-1-1-1-1-122-1-1222222-1-1-1-100220000000022222222-1-1-1-1-1-1-1-100002200-1-100000000-1-1-1-1-1-1-1-100000000-1-122-1-1-1-12200-1-10000
χ2622222-1222-122-1-1222222-1-1-1-1-1-122-1-1222222-1-1-1-100220000000022222222-1-1-1-1-1-1-1-10000-2-200-1-100000000-1-1-1-1-1-1-1-10000000011-2-21111-2-200110000
χ2722222-1222-122-1-1222222-1-1-1-1-1-122-1-1222222-1-1-1-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000220011000000001111111100000000-1-122-1-1-1-1-2-200110000
χ2822222-1222-122-1-1222222-1-1-1-1-1-122-1-1222222-1-1-1-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000-2-2001100000000111111110000000011-2-211112200-1-10000
χ292222-1222-122222-1-12222-1-1-1-122-1-122-1-1-1-1-1-1222222002222222200000000-1-1-1-1-1-1-1-1000022-1-100-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1-1-1002200-1-100
χ302222-1222-122222-1-12222-1-1-1-122-1-122-1-1-1-1-1-1222222002222222200000000-1-1-1-1-1-1-1-10000-2-2-1-100-1-1-1-1-1-1-1-10000000000000000-2-211111100-2-2001100
χ312222-1222-122222-1-12222-1-1-1-122-1-122-1-1-1-1-1-12222-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1000022110011111111000000000000000022-1-1-1-1-1-100-2-2001100
χ322222-1222-122222-1-12222-1-1-1-122-1-122-1-1-1-1-1-12222-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-10000-2-21100111111110000000000000000-2-2111111002200-1-100
χ3322-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+522-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−52−1+52−1−521−521−521+521+522i2i−2i−2i002-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000000
χ3422-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+522-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−52−1+52−1−521−521−521+521+52−2i−2i2i2i002-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000000
χ3522-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−1+52−1−52−1+52−1−521−521−521+521+52−2i−2i2i2i00-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000000000000000
χ3622-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−1+52−1−52−1+52−1−521−521−521+521+522i2i−2i−2i00-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000000000000000
χ3722-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−522-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+52−1−52−1+521+521+521−521−522i2i−2i−2i002-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000000000
χ3822-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−522-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1+52−1−52−1+521+521+521−521−52−2i−2i2i2i002-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000000
χ3922-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−1−52−1+52−1−52−1+521+521+521−521−52−2i−2i2i2i00-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38000000000000000000
χ4022-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−1−52−1+52−1−52−1+521+521+521−521−522i2i−2i−2i00-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000000000000000
χ4122-2-22-1222-12211-2-2-2-2-2-2-1-111-1-122-1-122-2-2-2-21111002i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-1111100002i−2i00−ii00000000−i−i−i−iiiii00000000−ii2i−2i−i−iii2-200-110000
χ4222-2-22-1222-12211-2-2-2-2-2-2-1-111-1-122-1-122-2-2-2-21111002i−2i000000002i2i2i2i−2i−2i−2i−2i-1-1-1-111110000−2i2i00−ii00000000−i−i−i−iiiii00000000i−i−2i2iii−i−i-22001-10000
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χ994-44i−4i-2-24422-4-4−2i2i−2i2i4i−4i4i−4i1-1i−i-2-2-2-22222−2i2i−2i2i−2i2i−2i2i0000000000000000000011-1-1i−ii−i00000000000000000000000000000000000000−3ζ7−3ζ23−3ζ31−3ζ393ζ7+3ζ23+3ζ31+3ζ39−3ζ13−3ζ21−3ζ29−3ζ373ζ13+3ζ21+3ζ29+3ζ370000000000
χ1004-44i−4i-2-24422-4-4−2i2i−2i2i4i−4i4i−4i1-1i−i-2-2-2-22222−2i2i−2i2i−2i2i−2i2i0000000000000000000011-1-1i−ii−i000000000000000000000000000000000000003ζ7+3ζ23+3ζ31+3ζ39−3ζ7−3ζ23−3ζ31−3ζ393ζ13+3ζ21+3ζ29+3ζ37−3ζ13−3ζ21−3ζ29−3ζ370000000000
χ1014-4−4i4i4-244-42-4-42i−2i−4i4i−4i4i−4i4i-222i−2i-2-24422-4-4−4i4i−4i4i2i−2i2i−2i00000000000000000000-2-2222i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ1024-4−4i4i4-2−1+5−1−5-421−51+52i−2i−4i4i2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14-222i−2i1−521+52−1+5−1−5−1+52−1−521−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ31+2ζ392ζ31−2ζ39−2ζ13+2ζ372ζ13−2ζ37−2ζ21+2ζ292ζ21−2ζ291−521+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14000000000000000000−ζ7+ζ23ζ7−ζ23ζ31−ζ39−ζ31+ζ39ζ13−ζ37−ζ13+ζ37ζ21−ζ29−ζ21+ζ2900000000000000000000000000
χ1034-4−4i4i4-2−1+5−1−5-421−51+52i−2i−4i4i2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14-222i−2i1−521+52−1+5−1−5−1+52−1−521−51+52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14000000000000−2ζ7+2ζ232ζ7−2ζ232ζ31−2ζ39−2ζ31+2ζ392ζ13−2ζ37−2ζ13+2ζ372ζ21−2ζ29−2ζ21+2ζ291−521+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ14000000000000000000ζ7−ζ23−ζ7+ζ23−ζ31+ζ39ζ31−ζ39−ζ13+ζ37ζ13−ζ37−ζ21+ζ29ζ21−ζ2900000000000000000000000000
χ1044-4−4i4i4-2−1−5−1+5-421+51−52i−2i−4i4i2ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38-222i−2i1+521−52−1−5−1+5−1−52−1+521+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38000000000000−2ζ31+2ζ392ζ31−2ζ39−2ζ7+2ζ232ζ7−2ζ23−2ζ21+2ζ292ζ21−2ζ292ζ13−2ζ37−2ζ13+2ζ371+521−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38000000000000000000ζ31−ζ39−ζ31+ζ39ζ7−ζ23−ζ7+ζ23ζ21−ζ29−ζ21+ζ29−ζ13+ζ37ζ13−ζ3700000000000000000000000000
χ1054-4−4i4i4-2−1−5−1+5-421+51−52i−2i−4i4i2ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38-222i−2i1+521−52−1−5−1+5−1−52−1+521+51−52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000002ζ31−2ζ39−2ζ31+2ζ392ζ7−2ζ23−2ζ7+2ζ232ζ21−2ζ29−2ζ21+2ζ29−2ζ13+2ζ372ζ13−2ζ371+521−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ38000000000000000000−ζ31+ζ39ζ31−ζ39−ζ7+ζ23ζ7−ζ23−ζ21+ζ29ζ21−ζ29ζ13−ζ37−ζ13+ζ3700000000000000000000000000
χ1064-4−4i4i-24442-4-4-4−4i4i2i−2i−4i4i−4i4i-222i−2i44-2-2-4-4222i−2i2i−2i−4i4i−4i4i00000000000000000000-2-2222i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ1074-4−4i4i-24−1+5−1−52-41−51+5−4i4i2i−2i2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14-222i−2i−1+5−1−51−521+521−51+5−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000001−521+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ140000000000000000000000000000000000
χ1084-4−4i4i-24−1+5−1−52-41−51+5−4i4i2i−2i2ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14-222i−2i−1+5−1−51−521+521−51+5−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ140000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000001−521+52−1+52−1−52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ140000000000000000000000000000000000
χ1094-4−4i4i-24−1−5−1+52-41+51−5−4i4i2i−2i2ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38-222i−2i−1−5−1+51+521−521+51−5−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ380000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000001+521−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ380000000000000000000000000000000000
χ1104-4−4i4i-24−1−5−1+52-41+51−5−4i4i2i−2i2ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38-222i−2i−1−5−1+51+521−521+51−5−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000001+521−52−1−52−1+52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ380000000000000000000000000000000000
χ1114-4−4i4i-2-24422-4-42i−2i2i−2i−4i4i−4i4i1-1−ii-2-2-2-222222i−2i2i−2i2i−2i2i−2i0000000000000000000011-1-1−ii−ii00000000000000000000000000000000000000−3ζ13−3ζ21−3ζ29−3ζ373ζ13+3ζ21+3ζ29+3ζ37−3ζ7−3ζ23−3ζ31−3ζ393ζ7+3ζ23+3ζ31+3ζ390000000000
χ1124-4−4i4i-2-24422-4-42i−2i2i−2i−4i4i−4i4i1-1−ii-2-2-2-222222i−2i2i−2i2i−2i2i−2i0000000000000000000011-1-1−ii−ii000000000000000000000000000000000000003ζ13+3ζ21+3ζ29+3ζ37−3ζ13−3ζ21−3ζ29−3ζ373ζ7+3ζ23+3ζ31+3ζ39−3ζ7−3ζ23−3ζ31−3ζ390000000000
χ1138888-4-4−2+25−2−25-4-4−2+25−2−25-4-4-4-4−2+25−2+25−2−25−2−2522221−51+51−51+51−51+51−51+51−51−51+51+51−51−51+51+500000000000000000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000
χ1148888-4-4−2−25−2+25-4-4−2−25−2+25-4-4-4-4−2−25−2−25−2+25−2+2522221+51−51+51−51+51−51+51−51+51+51−51−51+51+51−51−500000000000000000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4−2+25−2−25-4-4−2+25−2−2544442−252−252+252+2522-2-21−51+51−51+51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−500000000000000000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4−2−25−2+25-4-4−2−25−2+2544442+252+252−252−2522-2-21+51−51+51−51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500000000000000000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000
χ1178-88i−8i-4-4−2+25−2−25442−252+25−4i4i−4i4i−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ142-22i−2i1−51+51−51+5−1+5−1−5−1+5−1−52ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ1400000000000000000000−1+52−1−521−521+52−ζ22−ζ38ζ22+ζ38−ζ6−ζ14ζ6+ζ140000000000000000000000000000000000000000000000000000
χ1188-88i−8i-4-4−2−25−2+25442+252−25−4i4i−4i4i−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ382-22i−2i1+51−51+51−5−1−5−1+5−1−5−1+52ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ3800000000000000000000−1−52−1+521+521−52−ζ6−ζ14ζ6+ζ14−ζ22−ζ38ζ22+ζ380000000000000000000000000000000000000000000000000000
χ1198-8−8i8i-4-4−2+25−2−25442−252+254i−4i4i−4i4ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ142-2−2i2i1−51+51−51+5−1+5−1−5−1+5−1−5−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ1400000000000000000000−1+52−1−521−521+52ζ22+ζ38−ζ22−ζ38ζ6+ζ14−ζ6−ζ140000000000000000000000000000000000000000000000000000
χ1208-8−8i8i-4-4−2−25−2+25442+252−254i−4i4i−4i4ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ382-2−2i2i1+51−51+51−5−1−5−1+5−1−5−1+5−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ3800000000000000000000−1−52−1+521+521−52ζ6+ζ14−ζ6−ζ14ζ22+ζ38−ζ22−ζ380000000000000000000000000000000000000000000000000000

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