Finite Group Databasebeta

← Group #11755144

Character table — Group #11755144

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222224444444444444444444444444466666666666666668888888888881010101010101010101010101212121212121212121212122020202020203030303030303030
order12223444444556661010101010101212121212121515202020202020202020202020303030303030224444441010101010101010606060606060606060606060444444441212121220202020202020202020202012121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ61111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111
χ81111111-1-1-1-11111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ911111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ1011111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1
χ1111111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1
χ1211111-1-111-1-111111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1311111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ1411111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ1511111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ1611111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1
χ1711-1-111-11-11-1111-1-1-1-1-1-1111-11-11-11111-1-111-1-111-1-1-1-1-1-1111-11-11-11-11111-1-1-1-111-1-111-1-111-1-1i−ii−ii−ii−iii−i−i11-1-111-1-111-1-1i−ii−ii−ii−ii−ii−ii−i
χ1811-1-111-11-11-1111-1-1-1-1-1-1111-11-11-11111-1-111-1-111-1-1-1-1-1-1111-11-11-11-11111-1-1-1-111-1-111-1-111-1-1−ii−ii−ii−ii−i−iii11-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii−ii
χ1911-1-111-11-11-1111-1-1-1-1-1-1111-11-11-11111-1-111-1-111-1-1-1-1-1-111-11-11-11-11-1-1-1-1111111-1-111-1-111-1-1i−ii−ii−ii−iii−i−i-1-111-1-111-1-111i−ii−ii−i−ii−ii−ii−ii
χ2011-1-111-11-11-1111-1-1-1-1-1-1111-11-11-11111-1-111-1-111-1-1-1-1-1-111-11-11-11-11-1-1-1-1111111-1-111-1-111-1-1−ii−ii−ii−ii−i−iii-1-111-1-111-1-111−ii−ii−iii−ii−ii−ii−i
χ2111-1-111-1-11-11111-1-1-1-1-1-1111-1-11-111111-1-1-1-111-1-111-1-1-1-1111-11-1-11-111111-1-1-1-111-1-1-1-111-1-111i−ii−i−ii−ii−i−iii11-1-1-1-111-1-111i−ii−i−ii−iii−ii−i−ii
χ2211-1-111-1-11-11111-1-1-1-1-1-1111-1-11-111111-1-1-1-111-1-111-1-1-1-1111-11-1-11-111111-1-1-1-111-1-1-1-111-1-111−ii−iii−ii−iii−i−i11-1-1-1-111-1-111−ii−iii−ii−i−ii−iii−i
χ2311-1-111-1-11-11111-1-1-1-1-1-1111-1-11-111111-1-1-1-111-1-111-1-1-1-111-11-111-11-1-1-1-1-1111111-1-1-1-111-1-111i−ii−i−ii−ii−i−iii-1-11111-1-111-1-1i−ii−i−iii−i−ii−iii−i
χ2411-1-111-1-11-11111-1-1-1-1-1-1111-1-11-111111-1-1-1-111-1-111-1-1-1-111-11-111-11-1-1-1-1-1111111-1-1-1-111-1-111−ii−iii−ii−iii−i−i-1-11111-1-111-1-1−ii−iii−i−iii−ii−i−ii
χ2511-1-11-111-1-11111-1-1-1-1-1-111-111-1-1111-1-11111-1-1-1-111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1-1-1-111i−i−iii−i−ii−i−iii-1-11111-1-1-1-111i−i−iii−i−iii−i−iii−i
χ2611-1-11-111-1-11111-1-1-1-1-1-111-111-1-1111-1-11111-1-1-1-111-1-1-1-1111-1-111-1-111111-1-1-1-1-1-11111-1-1-1-111−iii−i−iii−iii−i−i-1-11111-1-1-1-111−iii−i−iii−i−iii−i−ii
χ2711-1-11-111-1-11111-1-1-1-1-1-111-111-1-1111-1-11111-1-1-1-111-1-1-1-111-111-1-111-1-1-1-1-11111-1-11111-1-1-1-111i−i−iii−i−ii−i−iii11-1-1-1-11111-1-1i−i−iii−ii−i−iii−i−ii
χ2811-1-11-111-1-11111-1-1-1-1-1-111-111-1-1111-1-11111-1-1-1-111-1-1-1-111-111-1-111-1-1-1-1-11111-1-11111-1-1-1-111−iii−i−iii−iii−i−i11-1-1-1-11111-1-1−iii−i−ii−iii−i−iii−i
χ2911-1-11-11-111-1111-1-1-1-1-1-111-11-111-111-1-111-1-11111-1-1-1-1-1-1111-1-11-111-11111-1-1-1-1-1-111-1-11111-1-1i−i−ii−iii−iii−i−i-1-111-1-11111-1-1i−i−ii−iii−ii−i−ii−ii
χ3011-1-11-11-111-1111-1-1-1-1-1-111-11-111-111-1-111-1-11111-1-1-1-1-1-1111-1-11-111-11111-1-1-1-1-1-111-1-11111-1-1−iii−ii−i−ii−i−iii-1-111-1-11111-1-1−iii−ii−i−ii−iii−ii−i
χ3111-1-11-11-111-1111-1-1-1-1-1-111-11-111-111-1-111-1-11111-1-1-1-1-1-111-111-11-1-11-1-1-1-11111-1-111-1-11111-1-1i−i−ii−iii−iii−i−i11-1-111-1-1-1-111i−i−ii−ii−ii−iii−ii−i
χ3211-1-11-11-111-1111-1-1-1-1-1-111-11-111-111-1-111-1-11111-1-1-1-1-1-111-111-11-1-11-1-1-1-11111-1-111-1-11111-1-1−iii−ii−i−ii−i−iii11-1-111-1-1-1-111−iii−ii−ii−ii−i−ii−ii
χ3322222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ3422222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-21+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+520000000000001+521−521+521−521+521−521+521−521+521−521+521−5200000000000000
χ3522222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000
χ3622222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-21−521−521+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+52−1−520000000000001−521+521−521+521−521+521−521+521−521+521−521+5200000000000000
χ372222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+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+522222-2-2-2-2−1−52−1−52−1+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+521−52000000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000
χ382222222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1+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+52-2-2-2-222221+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000
χ392222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+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+52−1−522222-2-2-2-2−1+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+52000000000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000
χ402222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+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+52−1−52-2-2-2-222221−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000
χ4122222-2-222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+5222-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000
χ4222222-2-222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-2221+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000
χ4322222-2-222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−5222-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000
χ4422222-2-222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-2221−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000
χ4522222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-222−1−52−1−52−1+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+520000000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000000000
χ4622222-2-2-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22222-2-21+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000000000000
χ4722222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-222−1+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+52−1−520000000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000
χ4822222-2-2-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-2-21−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000
χ492222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1000000000000-1-1-1-1-1-100000000
χ502222-122222222-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111100000000000011111100000000
χ512222-122-2-2-2-222-1-1-1222222-1-11111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000000000-1-1-1-1111111112222-2-2-2-21111000000000000-1-1-1-11100000000
χ522222-122-2-2-2-222-1-1-1222222-1-11111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-10000000000000000-1-1-1-111111111-2-2-2-22222-1-1-1-10000000000001111-1-100000000
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χ1034-44-4-20000004422-24-44-4-4-4000000-2-2000000000000-22-2222000000000000000000000000000000000000−2323−232300000000000000000000000000
χ1044-4-44400000044-44-4-44-44-4-400000044000000000000-44-44-4-4000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-444000000−1−5−1+5-44-41+5−1−51−5−1+51+51−5000000−1−5−1+50000000000001+5−1−51−5−1+51+51−500000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000000000000000000000000000000
χ1064-4-444000000−1−5−1+5-44-41+5−1−51−5−1+51+51−5000000−1−5−1+50000000000001+5−1−51−5−1+51+51−5000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000000000000000000000000000000
χ1074-4-444000000−1+5−1−5-44-41−5−1+51+5−1−51−51+5000000−1+5−1−50000000000001−5−1+51+5−1−51−51+5000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000000000000000000000000000000
χ1084-4-444000000−1+5−1−5-44-41−5−1+51+5−1−51−51+5000000−1+5−1−50000000000001−5−1+51+5−1−51−51+500000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000000000000000000000000000000
χ1094-4-44-2000000442-22-44-44-4-4000000-2-20000000000002-22-222000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ1104-4-44-2000000442-22-44-44-4-4000000-2-20000000000002-22-2220000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ1118-88-8-4000000−2−25−2+2544-4−2−252+25−2+252−252+252−250000001+51−50000000000001+5−1−51−5−1+5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4000000−2+25−2−2544-4−2+252−25−2−252+252−252+250000001−51+50000000000001−5−1+51+5−1−5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4000000−2−25−2+254-442+25−2−252−25−2+252+252−250000001+51−5000000000000−1−51+5−1+51−5−1−5−1+5000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4000000−2+25−2−254-442−25−2+252+25−2−252−252+250000001−51+5000000000000−1+51−5−1−51+5−1+5−1−5000000000000000000000000000000000000000000000000000000000000000000

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