Finite Group Databasebeta

← Group #13085900

Character table — Group #13085900

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222224444444444444444444466666666666666666666888888889999101012121212121212121212121212121212121212121818181818181818202020202020202030303030606060609090
order122233556666661010101010103666151515153030303030303030303030302244101010101010101020202020202020201515303030303030444444661212303030303030303060606060606060602020202020202020121212121212121244441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
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
χ911-1-11111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1i−i1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−ii−ii−ii−ii−ii−i
χ1011-1-11111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−ii1-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−ii−ii−ii−ii−ii
χ1111-1-11111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111i−i1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−iii−i−i−iii−ii−i−ii−ii
χ1211-1-11111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111−ii1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−ii−i−iiii−i−ii−iii−ii−i
χ1311-1-11111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111i−i-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111i−ii−iii−i−ii−i−ii−iii−i−ii
χ1411-1-11111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111−ii-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111−ii−ii−i−iii−iii−ii−i−iii−i
χ1511-1-11111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1i−i-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1i−ii−iii−i−i−ii−ii−ii−iii−i
χ1611-1-11111-111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1−ii-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii−ii−i−iiii−ii−ii−ii−i−ii
χ17222222−1+52−1−52222222−1+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+52−1−522222−1+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+52−1−52222222−1+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+52−1−5222-2-2−1+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+52−1−52222222−1+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+52−1−52-2-2221−521−521+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+52−1−52222222−1+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+52−1−52-2-2-2-21−521−521+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+52222222−1−52−1−52−1+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+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+52222222−1−52−1−52−1+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+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+52222222−1−52−1−52−1+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+52-2-2221+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+52222222−1−52−1−52−1+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+52-2-2-2-21+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
χ2522222-1222-12-1-12222222-1-1-1-122-1-12222-1-1-1-1-1-12222002222222200000000-1-1-1-1-1-1-1-1000022-1-100-1-1-1-1-1-1-1-10000000000000000-1-122-1-1-1-10022-1-10000
χ2622222-1222-12-1-12222222-1-1-1-122-1-12222-1-1-1-1-1-12222002222222200000000-1-1-1-1-1-1-1-10000-2-2-1-100-1-1-1-1-1-1-1-1000000000000000011-2-2111100-2-2110000
χ2722222-1222-12-1-12222222-1-1-1-122-1-12222-1-1-1-1-1-122-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-10000221100111111110000000000000000-1-122-1-1-1-100-2-2110000
χ2822222-1222-12-1-12222222-1-1-1-122-1-12222-1-1-1-1-1-122-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-10000-2-2110011111111000000000000000011-2-211110022-1-10000
χ292222-1222-12-122-1222222-1-1-1-1-1-122-1-1-1-1222222-1-100220000000022222222-1-1-1-1-1-1-1-100002200-1-100000000-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1220000-1-100
χ302222-1222-12-122-1222222-1-1-1-1-1-122-1-1-1-1222222-1-100220000000022222222-1-1-1-1-1-1-1-10000-2-200-1-100000000-1-1-1-1-1-1-1-100000000-2-2111111-2-200001100
χ312222-1222-12-122-1222222-1-1-1-1-1-122-1-1-1-1222222-1-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000022001100000000111111110000000022-1-1-1-1-1-1-2-200001100
χ322222-1222-12-122-1222222-1-1-1-1-1-122-1-1-1-1222222-1-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000-2-20011000000001111111100000000-2-2111111220000-1-100
χ3322-2-222−1+52−1−52-222-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+5222-2-2002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ3422-2-222−1+52−1−52-222-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+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+52−1−521−521−521+521+52-2-222002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ3522-2-222−1+52−1−52-222-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-22200-222-21−521−521+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+52−1+52−1+52−1−52−1−52000000000000000000
χ3622-2-222−1+52−1−52-222-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+5222-2-200-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ3722-2-222−1−52−1+52-222-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−5222-2-2002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3822-2-222−1−52−1+52-222-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+522-2-22−1−52−1−52−1+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+521+521+521−521−52-2-222002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3922-2-222−1−52−1+52-222-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-22200-222-21+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+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ4022-2-222−1−52−1+52-222-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−5222-2-200-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ4122-2-22-122-2-1211-2-2-2-2-222-1-11122-1-1-2-2-2-2-1-11111222-2002222-2-2-2-200000000-1-1-1-1111100002i−2i-1100-1-1-1-111110000000000000000−ii2i−2i−i−iii002i−2i−ii0000
χ4222-2-22-122-2-1211-2-2-2-2-222-1-11122-1-1-2-2-2-2-1-11111222-2002222-2-2-2-200000000-1-1-1-111110000−2i2i-1100-1-1-1-111110000000000000000i−i−2i2iii−i−i00−2i2ii−i0000
χ4322-2-22-122-2-1211-2-2-2-2-222-1-11122-1-1-2-2-2-2-1-1111122-2200-2-2-2-2222200000000-1-1-1-1111100002i−2i1-1001111-1-1-1-10000000000000000−ii2i−2i−i−iii00−2i2ii−i0000
χ4422-2-22-122-2-1211-2-2-2-2-222-1-11122-1-1-2-2-2-2-1-1111122-2200-2-2-2-2222200000000-1-1-1-111110000−2i2i1-1001111-1-1-1-10000000000000000i−i−2i2iii−i−i002i−2i−ii0000
χ4522-2-2-122212-1-2-21-2-2-2-222-1-111-1-122111122-2-2-2-2-1-1002-2000000002222-2-2-2-2-1-1-1-1111100002i−2i00-1100000000-1-1-1-11111000000002i−2i−ii−i−iii2i−2i0000−ii00
χ4622-2-2-122212-1-2-21-2-2-2-222-1-111-1-122111122-2-2-2-2-1-1002-2000000002222-2-2-2-2-1-1-1-111110000−2i2i00-1100000000-1-1-1-1111100000000−2i2ii−iii−i−i−2i2i0000i−i00
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χ8144-4-44-2−1−5−1+5-4-2422-41+51+51−51−5−1−5−1+5-2-222−1−5−1+51+521−521+51+51−51−51+521−52−1−52−1−52−1+52−1+52−1−5−1+54-400−1−5−1−5−1+5−1+51+51+51−51−5000000001+521−521+521−52−1−52−1−52−1+52−1+52000000-22001+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ8244-4-44-2−1−5−1+5-4-2422-41+51+51−51−5−1−5−1+5-2-222−1−5−1+51+521−521+51+51−51−51+521−52−1−52−1−52−1+52−1+52−1−5−1+5-44001+51+51−51−5−1−5−1−5−1+5−1+5000000001+521−521+521−52−1−52−1−52−1+52−1+520000002-200−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000
χ8344-4-4-24−1+5−1−524-2-4-421−51−51+51+5−1+5−1−5-2-2221−521+52−1+5−1−5−1+52−1+52−1−52−1−52−1+5−1−51−51−51+51+51−521+52004-400000000−1+5−1+5−1−5−1−51−51−51+51+51−521+521−521+52−1+52−1+52−1−52−1−5200000000-22000000001−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000
χ8444-4-4-24−1+5−1−524-2-4-421−51−51+51+5−1+5−1−5-2-2221−521+52−1+5−1−5−1+52−1+52−1−52−1−52−1+5−1−51−51−51+51+51−521+5200-44000000001−51−51+51+5−1+5−1+5−1−5−1−51−521+521−521+52−1+52−1+52−1−52−1−52000000002-200000000−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000
χ8544-4-4-24−1−5−1+524-2-4-421+51+51−51−5−1−5−1+5-2-2221+521−52−1−5−1+5−1−52−1−52−1+52−1+52−1−5−1+51+51+51−51−51+521−52004-400000000−1−5−1−5−1+5−1+51+51+51−51−51+521−521+521−52−1−52−1−52−1+52−1+5200000000-22000000001+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000
χ8644-4-4-24−1−5−1+524-2-4-421+51+51−51−5−1−5−1+5-2-2221+521−52−1−5−1+5−1−52−1−52−1+52−1+52−1−5−1+51+51+51−51−51+521−5200-44000000001+51+51−51−5−1−5−1−5−1+5−1+51+521−521+521−52−1−52−1−52−1+52−1+52000000002-200000000−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000
χ8744-4-4-2-2442-2-2222-4-4-4-44411-1-1-2-2-2-22222-2-22222-2-2000000000000000000001111-1-1-1-100004i−4i0000000000000000000000000000−2i2i−2i2iii−i−i0000000000
χ8844-4-4-2-2442-2-2222-4-4-4-44411-1-1-2-2-2-22222-2-22222-2-2000000000000000000001111-1-1-1-10000−4i4i00000000000000000000000000002i−2i2i−2i−i−iii0000000000
χ894-44-44-244-42-4-2244-44-4-4-4-222-244-2-24-44-422-22-22-4-400000000000000000000-2-222-22-220000000000000000000000000000000000000000000000000000
χ904-44-44-2−1+5−1−5-42-4-224−1+51−5−1−51+51−51+5-222-2−1+5−1−51−521+52−1+51−5−1−51+5−1+52−1−521−52−1+521+52−1−521−51+500002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000001−521+52−1+52−1−521−52−1+521+52−1−520000000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000000000000000000000
χ914-44-44-2−1+5−1−5-42-4-224−1+51−5−1−51+51−51+5-222-2−1+5−1−51−521+52−1+51−5−1−51+5−1+52−1−521−52−1+521+52−1−521−51+50000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000001−521+52−1+52−1−521−52−1+521+52−1−520000000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000000000000000000000
χ924-44-44-2−1−5−1+5-42-4-224−1−51+5−1+51−51+51−5-222-2−1−5−1+51+521−52−1−51+5−1+51−5−1−52−1+521+52−1−521−52−1+521+51−50000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000001+521−52−1−52−1+521+52−1−521−52−1+520000000000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000000000000000000000
χ934-44-44-2−1−5−1+5-42-4-224−1−51+5−1+51−51+51−5-222-2−1−5−1+51+521−52−1−51+5−1+51−5−1−52−1+521+52−1−521−52−1+521+51−500002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000001+521−52−1−52−1+521+52−1−521−52−1+520000000000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000000000000000000000000
χ944-44-4-24442-424-4-24-44-4-4-4-222-2-2-244-22-22-4-44-44-42200000000000000000000-2-222-22-220000000000000000000000000000000000000000000000000000
χ954-44-4-24−1+5−1−52-424-4-2−1+51−5−1−51+51−51+5-222-21−521+52−1+5−1−51−52−1+521+52−1−521−51+5−1+51−5−1−51+5−1+52−1−52000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ71−521+52−1+52−1−521−52−1+521+52−1−52000000000000000000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000000000000000
χ964-44-4-24−1+5−1−52-424-4-2−1+51−5−1−51+51−51+5-222-21−521+52−1+5−1−51−52−1+521+52−1−521−51+5−1+51−5−1−51+5−1+52−1−520000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ71−521+52−1+52−1−521−52−1+521+52−1−52000000000000000000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000000000000000
χ974-44-4-24−1−5−1+52-424-4-2−1−51+5−1+51−51+51−5-222-21+521−52−1−5−1+51+52−1−521−52−1+521+51−5−1−51+5−1+51−5−1−52−1+520000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ191+521−52−1−52−1+521+52−1−521−52−1+52000000000000000000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000000000000000
χ984-44-4-24−1−5−1+52-424-4-2−1−51+5−1+51−51+51−5-222-21+521−52−1−5−1+51+52−1−521−52−1+521+51−5−1−51+5−1+51−5−1−52−1+52000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ191+521−52−1−52−1+521+52−1−521−52−1+52000000000000000000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000000000000000
χ994-44-4-2-244222-22-24-44-4-4-41-1-11-2-2-2-2-22-2222-22-22220000000000000000000011-1-11-11-1000000000000000000000000000000000000003-33-30000000000
χ1004-44-4-2-244222-22-24-44-4-4-41-1-11-2-2-2-2-22-2222-22-22220000000000000000000011-1-11-11-100000000000000000000000000000000000000-33-330000000000
χ1014-4-444-24442-42-2-4-44-44-4-4-22-2244-2-2-44-44222-22-2-4-400000000000000000000-2-2222-22-20000000000000000000000000000000000000000000000000000
χ1024-4-444-2−1+5−1−542-42-2-41−5−1+51+5−1−51−51+5-22-22−1+5−1−51−521+521−5−1+51+5−1−5−1+52−1−52−1+521−52−1−521+521−51+500002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000001−521+52−1+52−1−52−1+521−52−1−521+520000000000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000000000000000000000000
χ1034-4-444-2−1+5−1−542-42-2-41−5−1+51+5−1−51−51+5-22-22−1+5−1−51−521+521−5−1+51+5−1−5−1+52−1−52−1+521−52−1−521+521−51+50000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000001−521+52−1+52−1−52−1+521−52−1−521+520000000000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000000000000000000000000
χ1044-4-444-2−1−5−1+542-42-2-41+5−1−51−5−1+51+51−5-22-22−1−5−1+51+521−521+5−1−51−5−1+5−1−52−1+52−1−521+52−1+521−521+51−50000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000001+521−52−1−52−1+52−1−521+52−1+521−520000000000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000000000000000000000000
χ1054-4-444-2−1−5−1+542-42-2-41+5−1−51−5−1+51+51−5-22-22−1−5−1+51+521−521+5−1−51−5−1+5−1−52−1+52−1−521+52−1+521−521+51−500002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000001+521−52−1−52−1+52−1−521+52−1+521−520000000000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000000000000000000000000
χ1064-4-44-2444-2-42-442-44-44-4-4-22-22-2-2442-22-2-4-4-44-442200000000000000000000-2-2222-22-20000000000000000000000000000000000000000000000000000
χ1074-4-44-24−1+5−1−5-2-42-4421−5−1+51+5−1−51−51+5-22-221−521+52−1+5−1−5−1+521−52−1−521+521−51+51−5−1+51+5−1−5−1+52−1−52000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ71−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000000000000000000000
χ1084-4-44-24−1+5−1−5-2-42-4421−5−1+51+5−1−51−51+5-22-221−521+52−1+5−1−5−1+521−52−1−521+521−51+51−5−1+51+5−1−5−1+52−1−520000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ71−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000000000000000000000
χ1094-4-44-24−1−5−1+5-2-42-4421+5−1−51−5−1+51+51−5-22-221+521−52−1−5−1+5−1−521+52−1+521−521+51−51+5−1−51−5−1+5−1−52−1+520000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ191+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000000000000000000000
χ1104-4-44-24−1−5−1+5-2-42-4421+5−1−51−5−1+51+51−5-22-221+521−52−1−5−1+5−1−521+52−1+521−521+51−51+5−1−51−5−1+5−1−52−1+52000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ191+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000000000000000000000
χ1114-4-44-2-244-2222-22-44-44-4-41-11-1-2-2-2-22-22-2222-22-2220000000000000000000011-1-1-11-11000000000000000000000000000000000000003i−3i−3i3i0000000000
χ1124-4-44-2-244-2222-22-44-44-4-41-11-1-2-2-2-22-22-2222-22-2220000000000000000000011-1-1-11-1100000000000000000000000000000000000000−3i3i3i−3i0000000000
χ1138888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2+25−2−25−2−25−2+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+25-4-4-4-4-4-4−2−25−2−25−2+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+25−2−254-4-44442−252−252+252+25−2+25−2−2522-2-21−51+51−51+5−1+5−1+5−1−5−1−51−51+5−1+5−1+5−1−5−1−51−51+500000000000000000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4−2−25−2+254-4-44442+252+252−252−25−2−25−2+2522-2-21+51−51+51−5−1−5−1−5−1+5−1+51+51−5−1−5−1−5−1+5−1+51+51−500000000000000000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4−2+25−2−25444-44-4−2+252−25−2−252+252−252+252-2-221−51+51−51+51−5−1+51+5−1−5−1+5−1−51−5−1+51+5−1−5−1+5−1−500000000000000000000−1+52−1−521−521+52−1+521−52−1−521+520000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4−2−25−2+25444-44-4−2−252+25−2+252−252+252−252-2-221+51−51+51−51+5−1−51−5−1+5−1−5−1+51+5−1−51−5−1+5−1−5−1+500000000000000000000−1−52−1+521+521−52−1−521+52−1+521−520000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4−2+25−2−25-4444-442−25−2+252+25−2−252−252+252-22-21−51+51−51+5−1+51−5−1−51+5−1+5−1−5−1+51−5−1−51+5−1+5−1−500000000000000000000−1+52−1−521−521+521−52−1+521+52−1−520000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4−2−25−2+25-4444-442+25−2−252−25−2+252+252−252-22-21+51−51+51−5−1−51+5−1+51−5−1−5−1+5−1−51+5−1+51−5−1−5−1+500000000000000000000−1−52−1+521+521−521+52−1−521−52−1+520000000000000000000000000000000000000000000000000000

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