Finite Group Databasebeta

← Group #11752585

Character table — Group #11752585

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444444444444444444444444444444441010101012121212202020202020202020202424242424242424303030306060
order12223444455666101010101010121212124121212121515202020202020202020202020303030303030606060606060606060606060606060606060606060606060444422444412121212121212121010101020202020444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111-1-111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ61111111-1-111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ71111111-1-111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1111111-1-111-1-1-1-111-11
χ81111111-1-111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-111-1-11111-1-11-1
χ911111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-111
χ1011111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-111-1-1-1-1-1-111111111-1-1
χ1111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-1111111-1-1-1-11111-1-1
χ1211111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ1311111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-111-111-1-1-1-11111-1-1-1-111-1-1111-1
χ1411111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-11-111-1-1-1-111-1-11111-1-111-1-1-11
χ1511111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11-11-1-11111-1-111-1-1-1-11111-1-1-11
χ1611111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1-11-1-11111-1-1-1-11111-1-1-1-1111-1
χ17222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022220000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000
χ18222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-200000000001+521−521+521−521+521−521+521−52000000
χ19222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022220000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000
χ20222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-200000000001−521+521−521+521−521+521−521+52000000
χ212222222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-2−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200002-22-20000000000−1−52−1+521+521−52−1−52−1+521+521−52000000
χ222222222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-2−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-22-2200000000001+521−52−1−52−1+521+521−52−1−52−1+52000000
χ232222222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+5200002-22-20000000000−1+52−1−521−521+52−1+52−1−521−521+52000000
χ242222222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−52−1+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+520000-22-2200000000001−521+52−1+52−1−521−521+52−1+52−1−52000000
χ2522222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2-2−1−52−1+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+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+521−521−521−521−52000022-2-20000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ2622222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+522222-2-2-2-2-2−1−52−1+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+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+521−521−521−521−520000-2-22200000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ2722222-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+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+52000022-2-20000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ2822222-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−522222-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+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+520000-2-22200000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ2922222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-222−1−52−1+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+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+5200002-2-220000000000−1−52−1+521+521−521+521−52−1−52−1+52000000
χ3022222-2-2-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2-222−1−52−1+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+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+520000-222-200000000001+521−52−1−52−1+52−1−52−1+521+521−52000000
χ3122222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-2-220000000000−1+52−1−521−521+521−521+52−1+52−1−52000000
χ3222222-2-2-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2-222−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-222-200000000001−521+52−1+52−1−52−1+52−1−521−521+52000000
χ332222-1222222-1-1-1222222-1-1-1-12-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-100000000000000
χ342222-1222222-1-1-1222222-1-1-1-12-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111111100000000000000
χ352222-122-2-222-1-1-12222221111-2-1-111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122220000-2-2-1-1-1-1111100000000000000
χ362222-122-2-222-1-1-12222221111-2-1-111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-20000221111-1-1-1-100000000000000
χ372222-1-2-22222-1-1-1222222-1-1-1-1-21111-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-20000-22-1-111-1-11100000000000000
χ382222-1-2-22222-1-1-1222222-1-1-1-1-21111-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-22200002-211-1-111-1-100000000000000
χ392222-1-2-2-2-222-1-1-12222221111211-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-200002-2-1-11111-1-100000000000000
χ402222-1-2-2-2-222-1-1-12222221111211-1-1-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-2220000-2211-1-1-1-11100000000000000
χ412-22-22002-2222-2-2-2-2-2-22222-2-20000022000000002-22-22-2-22-2-20000000022-2-222-2-200000000000000000000000000000000002i−2i2i−2i00
χ422-22-22002-2222-2-2-2-2-2-22222-2-20000022000000002-22-22-2-22-2-20000000022-2-222-2-20000000000000000000000000000000000−2i2i−2i2i00
χ432-22-2200-22222-2-2-2-2-2-222-2-222000002200000000-22-222-2-22-2-200000000-2-222-2-22200000000000000000000000000000000002i−2i−2i2i00
χ442-22-2200-22222-2-2-2-2-2-222-2-222000002200000000-22-222-2-22-2-200000000-2-222-2-2220000000000000000000000000000000000−2i2i2i−2i00
χ452-2-2222i−2i0022-22-22-22-2-2-2000002i−2i00222i−2i2i−2i00000000-22-2-22-22i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2-20000002i−2i2-2000000000000000000
χ462-2-2222i−2i0022-22-22-22-2-2-2000002i−2i00222i−2i2i−2i00000000-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i-22000000−2i2i-22000000000000000000
χ472-2-222−2i2i0022-22-22-22-2-2-200000−2i2i0022−2i2i−2i2i00000000-22-2-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i-220000002i−2i-22000000000000000000
χ482-2-222−2i2i0022-22-22-22-2-2-200000−2i2i0022−2i2i−2i2i00000000-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i2-2000000−2i2i2-2000000000000000000
χ492-2-22-12i−2i00221-112-22-2-2-23−33−30−ii−i3i3-1-12i−2i2i−2i000000001-111-11−i−iii−i−iii3−33−33−33−3−i3−i3i3i3−i3−i3i3i32i−2i2-2000000−ii-11−i3i33−300000000000000
χ502-2-22-12i−2i00221-112-22-2-2-23−33−30−ii−i3i3-1-12i−2i2i−2i000000001-111-11−i−iii−i−iii3−33−33−33−3−i3−i3i3i3−i3−i3i3i3−2i2i-22000000i−i1-1i3−i3−3300000000000000
χ512-2-22-12i−2i00221-112-22-2-2-2−33−330−iii3−i3-1-12i−2i2i−2i000000001-111-11−i−iii−i−iii−33−33−33−33i3i3−i3−i3i3i3−i3−i32i−2i2-2000000−ii-11i3−i3−3300000000000000
χ522-2-22-12i−2i00221-112-22-2-2-2−33−330−iii3−i3-1-12i−2i2i−2i000000001-111-11−i−iii−i−iii−33−33−33−33i3i3−i3−i3i3i3−i3−i3−2i2i-22000000i−i1-1−i3i33−300000000000000
χ532-2-22-1−2i2i00221-112-22-2-2-23−33−30i−ii3−i3-1-1−2i2i−2i2i000000001-111-11ii−i−iii−i−i3−33−33−33−3i3i3−i3−i3i3i3−i3−i32i−2i-22000000−ii1-1−i3i3−3300000000000000
χ542-2-22-1−2i2i00221-112-22-2-2-23−33−30i−ii3−i3-1-1−2i2i−2i2i000000001-111-11ii−i−iii−i−i3−33−33−33−3i3i3−i3−i3i3i3−i3−i3−2i2i2-2000000i−i-11i3−i33−300000000000000
χ552-2-22-1−2i2i00221-112-22-2-2-2−33−330i−i−i3i3-1-1−2i2i−2i2i000000001-111-11ii−i−iii−i−i−33−33−33−33−i3−i3i3i3−i3−i3i3i32i−2i-22000000−ii1-1i3−i33−300000000000000
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χ914-44-4-200-44−1−5−1+5-2221+51+51−51−5−1−5−1+522-2-2000001+521−52000000001+5−1−51−5−1+51+52−1−52−1−521−52−1+52−1+52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−1−52−1−521+521+52−1+52−1+521−521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000000000
χ924-44-4-200-44−1+5−1−5-2221−51−51+51+5−1+5−1−522-2-2000001−521+52000000001−5−1+51+5−1−51−52−1+52−1+521+52−1−52−1−52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−1+52−1+521−521−52−1−52−1−521+521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000000000
χ934-44-4-200-44−1+5−1−5-2221−51−51+51+5−1+5−1−522-2-2000001−521+52000000001−5−1+51+5−1−51−52−1+52−1+521+52−1−52−1−52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−1+52−1+521−521−52−1−52−1−521+521+52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000000000
χ944-4-4444i−4i00−1−5−1+5-44-4−1−51+5−1+51−51+51−5000004i−4i00−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000001+5−1−51+51−5−1+51−5−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000
χ954-4-4444i−4i00−1+5−1−5-44-4−1+51−5−1−51+51−51+5000004i−4i00−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000001−5−1+51−51+5−1−51+5−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000
χ964-4-444−4i4i00−1−5−1+5-44-4−1−51+5−1+51−51+51−500000−4i4i00−1−5−1+52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000001+5−1−51+51−5−1+51−52ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000
χ974-4-444−4i4i00−1+5−1−5-44-4−1+51−5−1−51+51−51+500000−4i4i00−1+5−1−52ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000001−5−1+51−51+5−1−51+52ζ7+2ζ23+2ζ43+2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000
χ984-4-44-24i−4i00−1−5−1+52-22−1−51+5−1+51−51+51−523−2323−230−2i2i−2i32i31+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000−1−521+52−1−52−1+521−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ5800000000000000000000000000000000
χ994-4-44-24i−4i00−1−5−1+52-22−1−51+5−1+51−51+51−5−2323−23230−2i2i2i3−2i31+521−52−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ4700000000−1−521+52−1−52−1+521−52−1+52ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ5800000000000000000000000000000000
χ1004-4-44-24i−4i00−1+5−1−52-22−1+51−5−1−51+51−51+523−2323−230−2i2i−2i32i31−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000−1+521−52−1+52−1−521+52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ4600000000000000000000000000000000
χ1014-4-44-24i−4i00−1+5−1−52-22−1+51−5−1−51+51−51+5−2323−23230−2i2i2i3−2i31−521+52−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000−1+521−52−1+52−1−521+52−1−52ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ4600000000000000000000000000000000
χ1024-4-44-2−4i4i00−1−5−1+52-22−1−51+5−1+51−51+51−523−2323−2302i−2i2i3−2i31+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000−1−521+52−1−52−1+521−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ5800000000000000000000000000000000
χ1034-4-44-2−4i4i00−1−5−1+52-22−1−51+5−1+51−51+51−5−2323−232302i−2i−2i32i31+521−522ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ4700000000−1−521+52−1−52−1+521−52−1+52−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ5800000000000000000000000000000000
χ1044-4-44-2−4i4i00−1+5−1−52-22−1+51−5−1−51+51−51+523−2323−2302i−2i2i3−2i31−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000−1+521−52−1+52−1−521+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ4600000000000000000000000000000000
χ1054-4-44-2−4i4i00−1+5−1−52-22−1+51−5−1−51+51−51+5−2323−232302i−2i−2i32i31−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ5900000000−1+521−52−1+52−1−521+52−1−52−ζ7−ζ23−ζ43−ζ47−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19−ζ31−ζ59−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59ζ11+ζ19+ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ4600000000000000000000000000000000

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