Finite Group Databasebeta

← Group #13085906

Character table — Group #13085906

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222224444444444444444444466666666666666666666888888889999101012121212121212121212121212121212121212121818181818181818202020202020202030303030606060609090
order1222335566666610101010101036661515151530303030303030303030303022441010101010101010202020202020202015153030303030304444226612123030303030303030606060606060606020202020202020206666666644441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
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
χ911-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-11-1i−i1-1i−ii−i
χ1011-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i-111-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-11−ii-11−ii−ii
χ1111-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-11-1−ii1-1−ii−ii
χ1211-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii-111-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-11i−i-11i−ii−i
χ1311-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-11i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iii1-1-11i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-11-111-1-1-11i−i-11i−i−ii
χ1411-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-11i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−iii-11-11i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-11-11-1-1111-1−ii1-1−iii−i
χ1511-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-11−ii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−i1-1-11−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-11-111-1-1-11−ii-11−iii−i
χ1611-1-111111-1-1-1-1111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-11−ii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1ii−i−i-11-11−ii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-11-11-1-1111-1i−i1-1i−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
χ2522222-1222-1-122-1222222-1-1-1-122-1-12222-1-1-1-1-1-12222002222222200000000-1-1-1-1-1-1-1-1000022-1-100-1-1-1-1-1-1-1-1000000000000000022-1-1-1-1-1-12200-1-10000
χ2622222-1222-1-122-1222222-1-1-1-122-1-12222-1-1-1-1-1-12222002222222200000000-1-1-1-1-1-1-1-10000-2-2-1-100-1-1-1-1-1-1-1-10000000000000000-2-2111111-2-200110000
χ2722222-1222-1-122-1222222-1-1-1-122-1-12222-1-1-1-1-1-122-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1000022110011111111000000000000000022-1-1-1-1-1-1-2-200110000
χ2822222-1222-1-122-1222222-1-1-1-122-1-12222-1-1-1-1-1-122-2-200-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-10000-2-21100111111110000000000000000-2-21111112200-1-10000
χ292222-1222-122-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-100220000000022222222-1-1-1-1-1-1-1-100002200-1-100000000-1-1-1-1-1-1-1-100000000-1-122-1-1-1-1002200-1-100
χ302222-1222-122-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-100220000000022222222-1-1-1-1-1-1-1-10000-2-200-1-100000000-1-1-1-1-1-1-1-10000000011-2-2111100-2-2001100
χ312222-1222-122-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000220011000000001111111100000000-1-122-1-1-1-100-2-2001100
χ322222-1222-122-1-12222222-1-1-1-1-1-122-1-1-1-1222222-1-100-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000-2-2001100000000111111110000000011-2-21111002200-1-100
χ3322-2-222−1+52−1−522-2-2-2-22−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521+522-22i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−1+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−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000000000000000000
χ3422-2-222−1+52−1−522-2-2-2-22−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521+522-2−2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−1+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+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000000000000000000
χ3522-2-222−1+52−1−522-2-2-2-22−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521+52-222i−2i1−521−521+521+52−1+52−1+52−1−52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−1+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−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7000000000000000000
χ3622-2-222−1+52−1−522-2-2-2-22−1+52−1−521−521+521−521+5222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+521−521+52-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−1+52−1−52−1+52−1−521−521−521+521+522i2i−2i−2i00-22−2i2i1−521−521+521+52−1+52−1+52−1−52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7000000000000000000
χ3722-2-222−1−52−1+522-2-2-2-22−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521−522-22i−2i−1−52−1−52−1+52−1+521+521+521−521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−1−52−1+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−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000000000000000000
χ3822-2-222−1−52−1+522-2-2-2-22−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521−522-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−1−52−1+52−1−52−1+521+521+521−521−52−2i−2i2i2i002-2−2i2i−1−52−1−52−1+52−1+521+521+521−521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000000000000000000
χ3922-2-222−1−52−1+522-2-2-2-22−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521−52-222i−2i1+521+521−521−52−1−52−1−52−1+52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−1−52−1+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−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19000000000000000000
χ4022-2-222−1−52−1+522-2-2-2-22−1−52−1+521+521−521+521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521−52-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−1−52−1+52−1−52−1+521+521+521−521−522i2i−2i−2i00-22−2i2i1+521+521−521−52−1−52−1−52−1+52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19000000000000000000
χ4122-2-22-122211-2-2-122-2-2-2-2-1-11122-1-122-2-2-1-11111-2-22-2002222-2-2-2-200000000-1-1-1-1111100002-2-1100-1-1-1-1111100000000000000002-2-11-1-1112-200-110000
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χ4322-2-22-122211-2-2-122-2-2-2-2-1-11122-1-122-2-2-1-11111-2-2-2200-2-2-2-2222200000000-1-1-1-1111100002-21-1001111-1-1-1-100000000000000002-2-11-1-111-22001-10000
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χ7944-4-44-2−1+5−1−5422-4-4-2−1+5−1−51−51+51−51+5-2-222−1+5−1−51−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−521−51+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
χ8044-4-44-2−1+5−1−5422-4-4-2−1+5−1−51−51+51−51+5-2-222−1+5−1−51−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−521−51+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
χ8144-4-44-2−1−5−1+5422-4-4-2−1−5−1+51+51−51+51−5-2-222−1−5−1+51+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+521+51−54-400−1−5−1−5−1+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+5422-4-4-2−1−5−1+51+51−51+51−5-2-222−1−5−1+51+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+521+51−5-44001+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+5−1−5-2-4-4224−1+5−1−51−51+51−51+5-2-2221−521+52−1+5−1−51−521+52−1+52−1−52−1+5−1−51−51−51+51+5−1+52−1−52004i−4i00000000−2ζ11−2ζ19−2ζ11−2ζ19−2ζ3−2ζ7−2ζ3−2ζ72ζ11+2ζ192ζ11+2ζ192ζ3+2ζ72ζ3+2ζ71−521+521−521+52−1+52−1+52−1−52−1−5200000000−2i2i00000000ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ700000000000000000000000000
χ8444-4-4-24−1+5−1−5-2-4-4224−1+5−1−51−51+51−51+5-2-2221−521+52−1+5−1−51−521+52−1+52−1−52−1+5−1−51−51−51+51+5−1+52−1−5200−4i4i000000002ζ11+2ζ192ζ11+2ζ192ζ3+2ζ72ζ3+2ζ7−2ζ11−2ζ19−2ζ11−2ζ19−2ζ3−2ζ7−2ζ3−2ζ71−521+521−521+52−1+52−1+52−1−52−1−52000000002i−2i00000000−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ700000000000000000000000000
χ8544-4-4-24−1−5−1+5-2-4-4224−1−5−1+51+51−51+51−5-2-2221+521−52−1−5−1+51+521−52−1−52−1+52−1−5−1+51+51+51−51−5−1−52−1+52004i−4i00000000−2ζ3−2ζ7−2ζ3−2ζ7−2ζ11−2ζ19−2ζ11−2ζ192ζ3+2ζ72ζ3+2ζ72ζ11+2ζ192ζ11+2ζ191+521−521+521−52−1−52−1−52−1+52−1+5200000000−2i2i00000000ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ1900000000000000000000000000
χ8644-4-4-24−1−5−1+5-2-4-4224−1−5−1+51+51−51+51−5-2-2221+521−52−1−5−1+51+521−52−1−52−1+52−1−5−1+51+51+51−51−5−1−52−1+5200−4i4i000000002ζ3+2ζ72ζ3+2ζ72ζ11+2ζ192ζ11+2ζ19−2ζ3−2ζ7−2ζ3−2ζ7−2ζ11−2ζ19−2ζ11−2ζ191+521−521+521−52−1−52−1−52−1+52−1+52000000002i−2i00000000−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ1900000000000000000000000000
χ8744-4-4-2-244-22222-244-4-4-4-411-1-1-2-2-2-2-2-222-2-2222222000000000000000000001111-1-1-1-100004-40000000000000000000000000000-22-2211-1-10000000000
χ8844-4-4-2-244-22222-244-4-4-4-411-1-1-2-2-2-2-2-222-2-2222222000000000000000000001111-1-1-1-10000-4400000000000000000000000000002-22-2-1-1110000000000
χ894-44-44-244-4-22-442-4-444-4-4-22-2244-2-2-4-44422-22-22-4-400000000000000000000-2-222-22-220000000000000000000000000000000000000000000000000000
χ904-44-44-2−1+5−1−5-4-22-4421−51+5−1+5−1−51−51+5-22-22−1+5−1−51−521+521−51+5−1+5−1−5−1+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+5−1−5-4-22-4421−51+5−1+5−1−51−51+5-22-22−1+5−1−51−521+521−51+5−1+5−1−5−1+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+5-4-22-4421+51−5−1−5−1+51+51−5-22-22−1−5−1+51+521−521+51−5−1−5−1+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+5-4-22-4421+51−5−1−5−1+51+51−5-22-22−1−5−1+51+521−521+51−5−1−5−1+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
χ944-44-4-244424-42-2-4-4-444-4-4-22-22-2-24422-2-2-4-44-44-42200000000000000000000-2-222-22-220000000000000000000000000000000000000000000000000000
χ954-44-4-24−1+5−1−524-42-2-41−51+5−1+5−1−51−51+5-22-221−521+52−1+5−1−5−1+52−1−521−521+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+5−1−524-42-2-41−51+5−1+5−1−51−51+5-22-221−521+52−1+5−1−5−1+52−1−521−521+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+524-42-2-41+51−5−1−5−1+51+51−5-22-221+521−52−1−5−1+5−1−52−1+521+521−521+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+524-42-2-41+51−5−1−5−1+51+51−5-22-221+521−52−1−5−1+5−1−52−1+521+521−521+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
χ994-44-4-2-2442-222-22-4-444-4-41-11-1-2-2-2-222-2-222-22-22220000000000000000000011-1-11-11-1000000000000000000000000000000000000003-33-30000000000
χ1004-44-4-2-2442-222-22-4-444-4-41-11-1-2-2-2-222-2-222-22-22220000000000000000000011-1-11-11-100000000000000000000000000000000000000-33-330000000000
χ1014-4-444-244-42-24-42-4-4-4-444-222-244-2-2-4-4-4-4222-22-24400000000000000000000-2-2222-22-20000000000000000000000000000000000000000000000000000
χ1024-4-444-2−1+5−1−5-42-24-421−51+51−51+5−1+5−1−5-222-2−1+5−1−51−521+521−51+51−51+5−1+52−1−52−1+521−52−1−521+52−1+5−1−500002ζ6−2ζ14−2ζ6+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+5−1−5-42-24-421−51+51−51+5−1+5−1−5-222-2−1+5−1−51−521+521−51+51−51+5−1+52−1−52−1+521−52−1−521+52−1+5−1−50000−2ζ6+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+5-42-24-421+51−51+51−5−1−5−1+5-222-2−1−5−1+51+521−521+51−51+51−5−1−52−1+52−1−521+52−1+521−52−1−5−1+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+5-42-24-421+51−51+51−5−1−5−1+5-222-2−1−5−1+51+521−521+51−51+51−5−1−52−1+52−1−521+52−1+521−52−1−5−1+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
χ1064-4-44-24442-44-22-4-4-4-4-444-222-2-2-2442222-4-4-44-44-2-200000000000000000000-2-2222-22-20000000000000000000000000000000000000000000000000000
χ1074-4-44-24−1+5−1−52-44-22-41−51+51−51+5−1+5−1−5-222-21−521+52−1+5−1−5−1+52−1−52−1+52−1−521−51+51−5−1+51+5−1−51−521+520000000000002ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ181−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ1800000000000000000000000000
χ1084-4-44-24−1+5−1−52-44-22-41−51+51−51+5−1+5−1−5-222-21−521+52−1+5−1−5−1+52−1−52−1+52−1−521−51+51−5−1+51+5−1−51−521+52000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ181−521+52−1+52−1−52−1+521−52−1−521+52000000000000000000ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ1800000000000000000000000000
χ1094-4-44-24−1−5−1+52-44-22-41+51−51+51−5−1−5−1+5-222-21+521−52−1−5−1+5−1−52−1+52−1−52−1+521+51−51+5−1−51−5−1+51+521−52000000000000−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ141+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ1400000000000000000000000000
χ1104-4-44-24−1−5−1+52-44-22-41+51−51+51−5−1−5−1+5-222-21+521−52−1−5−1+5−1−52−1+52−1−52−1+521+51−51+5−1−51−5−1+51+521−520000000000002ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ141+521−52−1−52−1+52−1−521+52−1+521−52000000000000000000−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ1400000000000000000000000000
χ1114-4-44-2-24422-2-222-4-4-4-4441-1-11-2-2-2-22222222-22-2-2-20000000000000000000011-1-1-11-11000000000000000000000000000000000000003-3-330000000000
χ1124-4-44-2-24422-2-222-4-4-4-4441-1-11-2-2-2-22222222-22-2-2-20000000000000000000011-1-1-11-1100000000000000000000000000000000000000-333-30000000000
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+25−2−25-44444-4−2+25−2−252−252+252−252+2522-2-21−51+51−51+51−51+5−1+5−1−51−51+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+25-44444-4−2−25−2+252+252−252+252−2522-2-21+51−51+51−51+51−5−1−5−1+51+51−5−1−5−1−5−1+5−1+5−1−5−1+500000000000000000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4−2+25−2−254-444-442−252+25−2+25−2−252−252+252-22-21−51+51−51+5−1+5−1−51−51+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+254-444-442+252−25−2−25−2+252+252−252-22-21+51−51+51−5−1−5−1+51+51−5−1−5−1+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+25−2−2544-4-4442−252+252−252+25−2+25−2−252-2-221−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−5−1+51−5−1−51+51−51+500000000000000000000−1+52−1−521−521+521−52−1+521+52−1−520000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4−2−25−2+2544-4-4442+252−252+252−25−2−25−2+252-2-221+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+5−1−51+5−1+51−51+51−500000000000000000000−1−52−1+521+521−521+52−1−521−52−1+520000000000000000000000000000000000000000000000000000

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