Finite Group Databasebeta

← Group #11754408

Character table — Group #11754408

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222666611112222222222666622224444444444121212122222444444444412121212222244444444441212121222224444444444121212125555101010101010101010103030303055551010101010101010101030303030
order1244234666121212122244224426466612121212224451020201015203030306060606010102020510202010152030303060606060101020201010202010302030303060606060101020201010202010302030303060606060101020204444412412121212121212444444444124121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ31111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1
χ41111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11
χ511-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11
χ611-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1
χ711-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1
χ811-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111
χ922222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000
χ102222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000
χ1122-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000
χ1222-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000
χ132-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i000000
χ142-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−30000
χ152-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−330000
χ162-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i000000
χ172-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−330000
χ182-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−30000
χ19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ211111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1-1-1-1-11-1111-1-1-111-11-11-1-1-1-11-1111-1-1-111-11-11
χ221111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11-1-1-1-11-1111-1-1-1111-11-1-1-1-1-11-1111-1-1-1111-11-1
χ2311-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11-1-111-1-11-1-1-11111-111-1-1-111-1-11-1-1-11111-111-1
χ2411-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1-1-111-1-11-1-1-111111-1-11-1-111-1-11-1-1-111111-1-11
χ2511-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1-1-1111-1-111-111-1-1-1-111-1-1111-1-111-111-1-1-1-111
χ2611-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111-1-1111-1-111-111-1-111-1-1-1-1111-1-111-111-1-111-1-1
χ2722222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000-2-2-2-2-21-211111110000-2-2-2-2-21-211111110000
χ282222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000-2-2-2-2212-1-1111-1-10000-2-2-2-2212-1-1111-1-10000
χ2922-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000-2-222-212111-1-1-1-10000-2-222-212111-1-1-1-10000
χ3022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000-2-22221-2-1-11-1-1110000-2-22221-2-1-11-1-1110000
χ312-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i000000-22−2i2i0-20002−2i2i000000-22−2i2i0-20002−2i2i000000
χ322-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−30000-22−2i2i010i3−i3-1i−i−330000-22−2i2i010i3−i3-1i−i−330000
χ332-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−330000-22−2i2i010−i3i3-1i−i3−30000-22−2i2i010−i3i3-1i−i3−30000
χ342-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i000000-222i−2i0-200022i−2i000000-222i−2i0-200022i−2i000000
χ352-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−330000-222i−2i010i3−i3-1−ii3−30000-222i−2i010i3−i3-1−ii3−30000
χ362-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−30000-222i−2i010−i3i3-1−ii−330000-222i−2i010−i3i3-1−ii−330000
χ37111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ391111-11-1-1-1111-1-11-11-1-1-1-1-11-1111-1-1-111-11-111111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1-1-1-1-11-1111-1-1-111-11-11-1-1-1-11-1111-1-1-111-11-11iiii−ii−i−i−iiii−i−ii−ii−i−i−i−i−ii−iiii−i−i−iii−ii−ii
χ401111-11-1-1-1111-1-1-11-11-1-1-1-11-1111-1-1-1111-11-11111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11-1-1-1-11-1111-1-1-1111-11-1-1-1-1-11-1111-1-1-1111-11-1iiii−ii−i−i−iiii−i−i−ii−ii−i−i−i−ii−iiii−i−i−iiii−ii−i
χ4111-1-111-1111-1-1-1-11-1-11-1-111-1-11-1-1-11111-111-111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11-1-111-1-11-1-1-11111-111-1-1-111-1-11-1-1-11111-111-1ii−i−iii−iiii−i−i−i−ii−i−ii−i−iii−i−ii−i−i−iiiii−iii−i
χ4211-1-111-1111-1-1-1-1-111-1-1-111-1-11-1-1-111111-1-1111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1-1-111-1-11-1-1-111111-1-11-1-111-1-11-1-1-111111-1-11ii−i−iii−iiii−i−i−i−i−iii−i−i−iii−i−ii−i−i−iiiiii−i−ii
χ4311-1-1-111-1-11-1-11111-1-1-1-1111-1-111-111-1-1-1-11111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1-1-1111-1-111-111-1-1-1-111-1-1111-1-111-111-1-1-1-111ii−i−i−iii−i−ii−i−iiiii−i−i−i−iiii−i−iii−iii−i−i−i−iii
χ4411-1-1-111-1-11-1-111-1-111-1-1111-1-111-111-1-111-1-111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111-1-1111-1-111-111-1-111-1-1-1-1111-1-111-111-1-111-1-1ii−i−i−iii−i−ii−i−iii−i−iii−i−iiii−i−iii−iii−i−iii−i−i
χ4522222-12-1-1-1-1-1-1-10000-2-2-2-2-21-21111111000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000-2-2-2-2-21-211111110000-2-2-2-2-21-2111111100002i2i2i2i2i−i2i−i−i−i−i−i−i−i0000−2i−2i−2i−2i−2ii−2iiiiiiii0000
χ462222-2-1-211-1-1-1110000-2-2-2-2212-1-1111-1-100002222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000-2-2-2-2212-1-1111-1-10000-2-2-2-2212-1-1111-1-100002i2i2i2i−2i−i−2iii−i−i−iii0000−2i−2i−2i−2i2ii2i−i−iiii−i−i0000
χ4722-2-22-1-2-1-1-111110000-2-222-212111-1-1-1-1000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000-2-222-212111-1-1-1-10000-2-222-212111-1-1-1-100002i2i−2i−2i2i−i−2i−i−i−iiiii0000−2i−2i2i2i−2ii2iiii−i−i−i−i0000
χ4822-2-2-2-1211-111-1-10000-2-22221-2-1-11-1-111000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000-2-22221-2-1-11-1-1110000-2-22221-2-1-11-1-11100002i2i−2i−2i−2i−i2iii−iii−i−i0000−2i−2i2i2i2ii−2i−i−ii−i−iii0000
χ492-22i−2i02000-22i−2i000000-22−2i2i0-20002−2i2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i000000-22−2i2i0-20002−2i2i000000-22−2i2i0-20002−2i2i0000002i−2i-2202i000−2i-22000000−2i2i2-20−2i0002i2-2000000
χ502-22i−2i0-10−i3i31−ii3−30000-22−2i2i010i3−i3-1i−i−3300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−30000-22−2i2i010i3−i3-1i−i−330000-22−2i2i010i3−i3-1i−i−3300002i−2i-220−i03−3i1-1i3−i30000−2i2i2-20i0−33−i-11−i3i30000
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χ522-2−2i2i02000-2−2i2i000000-222i−2i0-200022i−2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i000000-222i−2i0-200022i−2i000000-222i−2i0-200022i−2i0000002i−2i2-202i000−2i2-2000000−2i2i-220−2i0002i-22000000
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χ13744-4-44-2-4-2-2-222220000-4-444-424222-2-2-2-20000−1−5−1−51+51+5−1−51+521+51+521+521+52−1−52−1−52−1−52−1−520000−1+5−1+51−51−5−1+51−521−51−521−521−52−1+52−1+52−1+52−1+5200001+51+5−1−5−1−51+5−1−52−1−5−1−52−1−52−1−521+521+521+521+5200001−51−5−1+5−1+51−5−1+52−1+5−1+52−1+52−1+521−521−521−521−520000000000000000000000000000000000000000
χ13844-4-4-4-2422-222-2-20000-4-44442-4-2-22-2-2220000−1−5−1−51+51+51+51+52−1−5−1−52−1−521+52−1−52−1−521+521+520000−1+5−1+51−51−51−51−52−1+5−1+52−1+521−52−1+52−1+521−521−5200001+51+5−1−5−1−5−1−5−1−521+51+521+52−1−521+521+52−1−52−1−5200001−51−5−1+5−1+5−1+5−1+521−51−521−52−1+521−521−52−1+52−1+520000000000000000000000000000000000000000
χ1394-44i−4i04000-44i−4i000000-44−4i4i0-40004−4i4i000000−1−51+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590−1−50001+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000−1+51−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470−1+50001−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000001+5−1−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5901+5000−1−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000001−5−1+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4701−5000−1+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000
χ1404-44i−4i0-20−2i32i32−2i2i23−230000-44−4i4i0202i3−2i3-22i−2i−23230000−1−51+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5901+520ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−1+51−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4701−520ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700001+5−1−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590−1−520−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900001−5−1+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470−1+520−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000000000000000000000000000000000000000
χ1414-44i−4i0-202i3−2i32−2i2i−23230000-44−4i4i020−2i32i3-22i−2i23−230000−1−51+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5901+520−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1−52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−1+51−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4701−520−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1+52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700001+5−1−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590−1−520ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900001−5−1+52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470−1+520ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581−52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000000000000000000000000000000000000000
χ1424-4−4i4i04000-4−4i4i000000-444i−4i0-400044i−4i000000−1−51+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590−1−50001+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000−1+51−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470−1+50001−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000001+5−1−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5901+5000−1−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000001−5−1+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4701−5000−1+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000
χ1434-4−4i4i0-20−2i32i322i−2i−23230000-444i−4i0202i3−2i3-2−2i2i23−230000−1−51+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5901+520ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ590000−1+51−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4701−520ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ4700001+5−1−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590−1−520−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ461+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ5900001−5−1+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470−1+520−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ581−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ470000000000000000000000000000000000000000
χ1444-4−4i4i0-202i3−2i322i−2i23−230000-444i−4i020−2i32i3-2−2i2i−23230000−1−51+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5901+520−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1−52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ590000−1+51−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4701−520−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−1+52−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ4700001+5−1−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590−1−520ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ461+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ5900001−5−1+5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470−1+520ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ581−52ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ470000000000000000000000000000000000000000

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