Finite Group Databasebeta

← Group #13087679

Character table — Group #13087679

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444415151515181818183030303030303030303030303030363636363636363660606060
order12223344556666661010101010101212121236661212121212121515151515151515202020203030303030303030303030303030303030303030303030306060606060606060606060606060606060606060606060606060606060606060444422224444441212121212121212101010101010101012121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ7111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ8111111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-1111-111-111-1-1-1-1-1-1-11111-1-11-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i1-11-1i−ii−ii−iii−i−iii−i−i11-1-111-1-1i−ii−i
χ1011-1-1111-111-111-1-1-1-1-1-1-11111-1-11-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-11-11i−i−ii−iiii−i−iii−i−i-1-111-1-111−ii−ii
χ1111-1-1111-111-111-1-1-1-1-1-1-11111-1-11-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii1-11-1−ii−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii
χ1211-1-1111-111-111-1-1-1-1-1-1-11111-1-11-1-111-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-11-11−iii−ii−i−i−iii−i−iii-1-111-1-111i−ii−i
χ1311-1-111-1111-111-1-1-1-1-1-1-111-1-1111-1-11-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i1-1-11−iii−i−iiii−i−i−i−iii11-1-1-1-111i−i−ii
χ1411-1-111-1111-111-1-1-1-1-1-1-111-1-1111-1-11-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i-111-1−ii−iii−iii−i−i−i−iii-1-11111-1-1−iii−i
χ1511-1-111-1111-111-1-1-1-1-1-1-111-1-1111-1-11-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii1-1-11i−i−iii−i−i−iiiii−i−i11-1-1-1-111−iii−i
χ1611-1-111-1111-111-1-1-1-1-1-1-111-1-1111-1-11-11-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii-111-1i−ii−i−ii−i−iiiii−i−i-1-11111-1-1i−i−ii
χ1722222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+5222222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000222200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000
χ1822222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+5222222222222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000-2-2-2-2000000000000001+521−521+521−521+521−521+521−520000
χ1922222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−5222222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000222200000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000
χ2022222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−5222222222222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000-2-2-2-2000000000000001−521+521−521+521−521+521−521+520000
χ21222222-2-2−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52000022-2-200000000000000−1−52−1+52−1−52−1+521+521−521+521−520000
χ22222222-2-2−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−521+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−520000-2-222000000000000001+521−521+521−52−1−52−1+52−1−52−1+520000
χ23222222-2-2−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2-2-2−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52000022-2-200000000000000−1+52−1−52−1+52−1−521−521+521−521+520000
χ24222222-2-2−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22222-2-2-2-2-2-2−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+520000-2-222000000000000001−521+521−521+52−1+52−1−52−1+52−1−520000
χ2522222-1222222-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122220000220000-1-1-1-1-1-1-1-1000000000000
χ2622222-1222222-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-20000-2-2000011111111000000000000
χ2722222-1-2-22222-1-1-122222221111-1-1-1-1-2-211112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122220000-2-20000-1-1-1-11111000000000000
χ2822222-1-2-22222-1-1-122222221111-1-1-1-1-2-211112-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2-2-2-200002200001111-1-1-1-1000000000000
χ292222-122222-1-1222-12222222222-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000022220000000000000000-1-1-1-1
χ302222-122222-1-1222-12222222222-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000-2-2-2-200000000000000001111
χ312222-12-2-222-1-1222-1222222-2-2-2-2-1-1-1-1111111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000000022-2-20000000000000000-1-111
χ322222-12-2-222-1-1222-1222222-2-2-2-2-1-1-1-1111111-12-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211110000000000-2-222000000000000000011-1-1
χ3322-2-2222-2−1−52−1+52-222-2-2-21+521+521−521−52−1−52−1+5222-2-22-2-222-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5200002-22-200000000000000−1−52−1+521+521−52−1−52−1+521+521−520000
χ3422-2-2222-2−1−52−1+52-222-2-2-21+521+521−521−52−1−52−1+5222-2-22-2-222-222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521−521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−520000-22-22000000000000001+521−52−1−52−1+521+521−52−1−52−1+520000
χ3522-2-2222-2−1+52−1−52-222-2-2-21−521−521+521+52−1+52−1−5222-2-22-2-222-222-2-2−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5200002-22-200000000000000−1+52−1−521−521+52−1+52−1−521−521+520000
χ3622-2-2222-2−1+52−1−52-222-2-2-21−521−521+521+52−1+52−1−5222-2-22-2-222-222-2-2−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+520000-22-22000000000000001−521+52−1+52−1−521−521+52−1+52−1−520000
χ3722-2-222-22−1−52−1+52-222-2-2-21+521+521−521−52−1−52−1+52-2-2222-2-22-22-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200002-2-2200000000000000−1−52−1+521+521−521+521−52−1−52−1+520000
χ3822-2-222-22−1−52−1+52-222-2-2-21+521+521−521−52−1−52−1+52-2-2222-2-22-22-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−1−52−1+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+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+520000-222-2000000000000001+521−52−1−52−1+52−1−52−1+521+521−520000
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χ1244-4-44-24004422-4-44-2-44-44-4-40000-22-22000000-24-2-2-24-2-200002-2-4422-2-22-2-4422-2-22-4222-422000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-44-2400−1−5−1+522-4-44-21+5−1−51−5−1+51+51−50000-22-220000001+52−1−51+521+521−52−1+51−521−520000−1−521+521+5−1−5−1−52−1−521+521+52−1+521−521−5−1+5−1+52−1+521−521−52−1−521+5−1−52−1−52−1+521−5−1+52−1+52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ470000000000000000000000000000000000
χ1264-4-44-2400−1−5−1+522-4-44-21+5−1−51−5−1+51+51−50000-22-220000001+52−1−51+521+521−52−1+51−521−520000−1−521+521+5−1−5−1−52−1−521+521+52−1+521−521−5−1+5−1+52−1+521−521−52−1−521+5−1−52−1−52−1+521−5−1+52−1+52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ470000000000000000000000000000000000
χ1274-4-44-2400−1+5−1−522-4-44-21−5−1+51+5−1−51−51+50000-22-220000001−52−1+51−521−521+52−1−51+521+520000−1+521−521−5−1+5−1+52−1+521−521−52−1−521+521+5−1−5−1−52−1−521+521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ590000000000000000000000000000000000
χ1284-4-44-2400−1+5−1−522-4-44-21−5−1+51+5−1−51−51+50000-22-220000001−52−1+51−521−521+52−1−51+521+520000−1+521−521−5−1+5−1+52−1+521−521−52−1−521+521+5−1−5−1−52−1−521+521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ590000000000000000000000000000000000
χ1294-4-44-2-200442222-2-2-44-44-4-423−23−23231-11-100−333−3-2-211-2-21100002-22-2-1-1112-22-2-1-11122-1-122-1-10023−23−3−3330023−23−3−33300−232333−3−300−232333−3−30000000000000000000000000000000000
χ1304-4-44-2-200442222-2-2-44-44-4-4−232323−231-11-1003−3−33-2-211-2-21100002-22-2-1-1112-22-2-1-11122-1-122-1-100−232333−3−300−232333−3−30023−23−3−3330023−23−3−3330000000000000000000000000000000000
χ1314-4-44-2-200−1−5−1+52222-2-21+5−1−51−5−1+51+51−523−23−23231-11-100−333−31+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ580000−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ31−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ31ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ470000000000000000000000000000000000
χ1324-4-44-2-200−1−5−1+52222-2-21+5−1−51−5−1+51+51−523−23−23231-11-100−333−31+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ580000−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ43ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ430000000000000000000000000000000000
χ1334-4-44-2-200−1−5−1+52222-2-21+5−1−51−5−1+51+51−5−232323−231-11-1003−3−331+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ461−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ580000−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ31ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ31−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ470000000000000000000000000000000000
χ1344-4-44-2-200−1−5−1+52222-2-21+5−1−51−5−1+51+51−5−232323−231-11-1003−3−331+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ461−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ580000−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ43−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ430000000000000000000000000000000000
χ1354-4-44-2-200−1+5−1−52222-2-21−5−1+51+5−1−51−51+523−23−23231-11-100−333−31−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ590000000000000000000000000000000000
χ1364-4-44-2-200−1+5−1−52222-2-21−5−1+51+5−1−51−51+523−23−23231-11-100−333−31−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ43ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ31−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ43−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ310000000000000000000000000000000000
χ1374-4-44-2-200−1+5−1−52222-2-21−5−1+51+5−1−51−51+5−232323−231-11-1003−3−331−521−522ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ581+521+522ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ460000−1+521−52−1+521−52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ582ζ2+2ζ22−ζ38−ζ58−ζ2−ζ22+2ζ38+2ζ58−1−521+52−1−521+52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ462ζ14−ζ26+2ζ34−ζ46−ζ14+2ζ26−ζ34+2ζ46−1+52−1+52−2ζ2−2ζ22+ζ38+ζ58ζ2+ζ22−2ζ38−2ζ58−1−52−1−52−2ζ14+ζ26−2ζ34+ζ46ζ14−2ζ26+ζ34−2ζ46ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ23+ζ43ζ7−ζ47ζ23−ζ43−ζ7+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ31ζ19−ζ59ζ11−ζ31−ζ19+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ23−ζ43−ζ7+ζ47−ζ23+ζ43ζ7−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ31−ζ19+ζ59−ζ11+ζ31ζ19−ζ590000000000000000000000000000000000
χ1384-4-44-2-200−1+5−1−52222-2-21−5−1+51+5−1−51−51+5−232323−231-11-1003−3−331−521−52−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ581+521+52−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ460000−1+521−52−1+521−52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−ζ2−ζ22+2ζ38+2ζ582ζ2+2ζ22−ζ38−ζ58−1−521+52−1−521+52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ14+2ζ26−ζ34+2ζ462ζ14−ζ26+2ζ34−ζ46−1+52−1+52ζ2+ζ22−2ζ38−2ζ58−2ζ2−2ζ22+ζ38+ζ58−1−52−1−52ζ14−2ζ26+ζ34−2ζ46−2ζ14+ζ26−2ζ34+ζ46−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ47−ζ23+ζ43−ζ7+ζ47ζ23−ζ43−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ19−ζ59−ζ11+ζ31−ζ19+ζ59ζ11−ζ31ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ47ζ23−ζ43ζ7−ζ47−ζ23+ζ43ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ19+ζ59ζ11−ζ31ζ19−ζ59−ζ11+ζ310000000000000000000000000000000000

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