Finite Group Databasebeta

← Group #11752729

Character table — Group #11752729

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222222222222222444444444444444444444444444444444444444444446666666610101010101010101212121212121212121212121212121220202020202020203030303030303030
order1222344444455666101010101010121212122020202020202020121212121515202020202020202030303030303060606060606060606060606060606060606060606060606022224444222244441010101010101010202020202020202066661212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111-1-111-1-111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111
χ1011111-1-111-1-111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1
χ1111111-1-111-1-111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1
χ1211111-1-111-1-111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-111
χ1311111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ1411111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111
χ1511111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111
χ1611111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1
χ1711-1-111-1i−ii−i111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i1111-1-1ii−i−i11-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ1811-1-111-1i−ii−i111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i1111-1-1ii−i−i11-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i-11-11−ii−ii11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii
χ1911-1-111-1i−ii−i111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i1111-1-1ii−i−i11-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii1-11-1i−ii−i-1-111-1-111−i−iii−i−iii1-11-1i−ii−i-11-11−ii−ii
χ2011-1-111-1i−ii−i111-1-111-1-1-1-1ii−i−iiiii−i−i−i−i1-1i−i1111-1-1ii−i−i11-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-11-11−ii−ii-1-111-1-111−i−iii−i−iii-11-11−ii−ii1-11-1i−ii−i
χ2111-1-111-1−ii−ii111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii1111-1-1−i−iii11-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ2211-1-111-1−ii−ii111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii1111-1-1−i−iii11-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii-11-11i−ii−i11-1-111-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i
χ2311-1-111-1−ii−ii111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii1111-1-1−i−iii11-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i1-11-1−ii−ii-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii-11-11i−ii−i
χ2411-1-111-1−ii−ii111-1-111-1-1-1-1−i−iii−i−i−i−iiiii1-1−ii1111-1-1−i−iii11-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-11-11i−ii−i-1-111-1-111ii−i−iii−i−i-11-11i−ii−i1-11-1−ii−ii
χ2511-1-11-11i−i−ii111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i-11i−i11-1-111−i−iii11-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii1-1-11i−i−ii1-1-11−iii−i
χ2611-1-11-11i−i−ii111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i-11i−i11-1-111−i−iii11-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii-111-1−iii−i11-1-1-1-111ii−i−i−i−iii-111-1−iii−i-111-1i−i−ii
χ2711-1-11-11i−i−ii111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i-11i−i11-1-111−i−iii11-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i1-1-11i−i−ii-1-11111-1-1−i−iiiii−i−i1-1-11i−i−ii-111-1i−i−ii
χ2811-1-11-11i−i−ii111-1-111-1-1-1-1−i−iiiiiii−i−i−i−i-11i−i11-1-111−i−iii11-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i-111-1−iii−i-1-11111-1-1−i−iiiii−i−i-111-1−iii−i1-1-11−iii−i
χ2911-1-11-11−iii−i111-1-111-1-1-1-1ii−i−i−i−i−i−iiiii-11−ii11-1-111ii−i−i11-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i1-1-11−iii−i1-1-11i−i−ii
χ3011-1-11-11−iii−i111-1-111-1-1-1-1ii−i−i−i−i−i−iiiii-11−ii11-1-111ii−i−i11-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i-111-1i−i−ii11-1-1-1-111−i−iiiii−i−i-111-1i−i−ii-111-1−iii−i
χ3111-1-11-11−iii−i111-1-111-1-1-1-1ii−i−i−i−i−i−iiiii-11−ii11-1-111ii−i−i11-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii1-1-11−iii−i-1-11111-1-1ii−i−i−i−iii1-1-11−iii−i-111-1−iii−i
χ3211-1-11-11−iii−i111-1-111-1-1-1-1ii−i−i−i−i−i−iiiii-11−ii11-1-111ii−i−i11-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii-111-1i−i−ii1-1-11i−i−ii
χ3322222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ3422222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ3522222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3622222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ372222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−522222-2-2-2-200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ382222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-21+521+521−521−521+521+521−521−5222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-2-2-2-22222000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ392222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+5222-2-2−1+52−1−52−1+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+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+522222-2-2-2-200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000
χ402222222-2-2-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-21−521−521+521+521−521−521+521+5222-2-2−1+52−1−52−1+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+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+52-2-2-2-22222000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ4122222-2-222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+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+521+521+521−521−521+521+521−521−5222-2-222-2-200000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000000000
χ4222222-2-222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+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+521+521+521−521−521+521+521−521−52-2-222-2-222000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
χ4322222-2-222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−521−521+521−521+521−521+521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+5222-2-222-2-200000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000
χ4422222-2-222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−521−521+521−521+521−521+521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+52-2-222-2-222000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000
χ4522222-2-2-2-222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222221+521+521−521−521+521+521−521−52-2-2-2-2−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+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+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-22200000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000000000
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χ1224-4-44-2000000−1−5−1+522-21+51−5−1−5−1+51+51−52i3−2i3−2i32i32ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700001+521−5200000000−1−52−1+52−1−521+52−1+521−52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000
χ1234-4-44-2000000−1+5−1−522-21−51+5−1+5−1−51−51+5−2i32i32i3−2i32ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900001−521+5200000000−1+52−1−52−1+521−52−1−521+52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000000000000000
χ1244-4-44-2000000−1+5−1−522-21−51+5−1+5−1−51−51+5−2i32i32i3−2i3−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900001−521+5200000000−1+52−1−52−1+521−52−1−521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000000000000000
χ1254-4-44-2000000−1+5−1−522-21−51+5−1+5−1−51−51+52i3−2i3−2i32i32ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900001−521+5200000000−1+52−1−52−1+521−52−1−521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000000000000000
χ1264-4-44-2000000−1+5−1−522-21−51+5−1+5−1−51−51+52i3−2i3−2i32i3−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900001−521+5200000000−1+52−1−52−1+521−52−1−521+52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.