Finite Group Databasebeta

← Group #11752762

Character table — Group #11752762

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444444444444444444444444444444441010101012121212202020202020202020202424242424242424303030306060
order1222344445566610101010101012121212412121212151520202020202020202020202030303030303060606060606060606060606060606060606060606060606022442444246666121212121010202020202020224444
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
χ51111111-1-111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-11111-1-1-1-111-1-11-1
χ61111111-1-111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-1-1-1-1-11111-1-111-11
χ71111111-1-111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1111111-1-1-1-1-1-111-11
χ81111111-1-111111111111-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-1-1-1111111-1-11-1
χ911111-1-111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-1-1-11111-1-111-1-11111-1-1
χ1011111-1-111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111-1-111-1-1-1-111
χ1111111-1-111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ1211111-1-111111111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111-1-1111111-1-1
χ1311111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-11-11111-1-1-1-111-1-1-1-11111-1-1-11
χ1411111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-111-11111-1-1-1-1-1-11111-1-1-1-1111-1
χ1511111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-11-1-11-1-1-1-1111111-1-1-1-111-1-1111-1
χ1611111-1-1-1-111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11-11-11-1-1-1-11111-1-11111-1-111-1-1-11
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+521−521−521−521−5200002-2-220000000000−1−52−1+52−1−52−1+521+521−521+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+521−521−521−521−520000-222-200000000001+521−521+521−52−1−52−1+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+5200002-2-220000000000−1+52−1−52−1+52−1−521−521+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+520000-222-200000000001−521+521−521+52−1+52−1−52−1+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+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000022-2-20000000000−1−52−1+521+521−52−1−52−1+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+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000-2-22200000000001+521−52−1−52−1+521+521−52−1−52−1+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+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+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+52−1−521−521+52−1+52−1−521−521+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+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+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+52−1+52−1−521−521+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+521−521−521+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+5200002-22-20000000000−1−52−1+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+521−521−521+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+520000-22-2200000000001+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+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+52−1−52−1−52−1−52−1−5200002-22-20000000000−1+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+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+52−1−52−1−52−1−52−1−520000-22-2200000000001−521+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
χ352222-122-2-222-1-1-12222221111-2-1-111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122220000-2-2-1-111-1-11100000000000000
χ362222-122-2-222-1-1-12222221111-2-1-111-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-200002211-1-111-1-100000000000000
χ372222-1-2-22222-1-1-1222222-1-1-1-1-21111-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111122-2-20000-22-1-11111-1-100000000000000
χ382222-1-2-22222-1-1-1222222-1-1-1-1-21111-1-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-2-22200002-211-1-1-1-11100000000000000
χ392222-1-2-2-2-222-1-1-12222221111211-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-122-2-200002-2-1-1-1-1111100000000000000
χ402222-1-2-2-2-222-1-1-12222221111211-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-2220000-221111-1-1-1-100000000000000
χ4122-2-22002i−2i222-2-22-2-22-2-22i2i−2i−2i000002200002i−2i2i−2i00002-2-22-2-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000002-22i−2i00
χ4222-2-22002i−2i222-2-22-2-22-2-22i2i−2i−2i000002200002i−2i2i−2i00002-2-22-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000-22−2i2i00
χ4322-2-2200−2i2i222-2-22-2-22-2-2−2i−2i2i2i00000220000−2i2i−2i2i00002-2-22-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000002-2−2i2i00
χ4422-2-2200−2i2i222-2-22-2-22-2-2−2i−2i2i2i00000220000−2i2i−2i2i00002-2-22-2-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000-222i−2i00
χ452-22-222i−2i0022-22-2-22-2-22-2000002i−2i00222i−2i2i−2i00000000-22-2-22-22i2i−2i−2i2i2i−2i−2i00000000000000002-22i−2i0000002-2002i−2i0000000000000000
χ462-22-222i−2i0022-22-2-22-2-22-2000002i−2i00222i−2i2i−2i00000000-22-2-22-22i2i−2i−2i2i2i−2i−2i0000000000000000-22−2i2i000000-2200−2i2i0000000000000000
χ472-22-22−2i2i0022-22-2-22-2-22-200000−2i2i0022−2i2i−2i2i00000000-22-2-22-2−2i−2i2i2i−2i−2i2i2i00000000000000002-2−2i2i0000002-200−2i2i0000000000000000
χ482-22-22−2i2i0022-22-2-22-2-22-200000−2i2i0022−2i2i−2i2i00000000-22-2-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000-222i−2i000000-22002i−2i0000000000000000
χ492-22-2-12i−2i00221-11-22-2-22-23−33−30−ii−i3i3-1-12i−2i2i−2i000000001-111-11−i−iii−i−iii3−33−33−33−3−i3−i3i3i3−i3−i3i3i32-22i−2i000000-11−i3i3−ii3−300000000000000
χ502-22-2-12i−2i00221-11-22-2-22-23−33−30−ii−i3i3-1-12i−2i2i−2i000000001-111-11−i−iii−i−iii3−33−33−33−3−i3−i3i3i3−i3−i3i3i3-22−2i2i0000001-1i3−i3i−i−3300000000000000
χ512-22-2-12i−2i00221-11-22-2-22-2−33−330−iii3−i3-1-12i−2i2i−2i000000001-111-11−i−iii−i−iii−33−33−33−33i3i3−i3−i3i3i3−i3−i32-22i−2i000000-11i3−i3−ii−3300000000000000
χ522-22-2-12i−2i00221-11-22-2-22-2−33−330−iii3−i3-1-12i−2i2i−2i000000001-111-11−i−iii−i−iii−33−33−33−33i3i3−i3−i3i3i3−i3−i3-22−2i2i0000001-1−i3i3i−i3−300000000000000
χ532-22-2-1−2i2i00221-11-22-2-22-23−33−30i−ii3−i3-1-1−2i2i−2i2i000000001-111-11ii−i−iii−i−i3−33−33−33−3i3i3−i3−i3i3i3−i3−i32-2−2i2i000000-11i3−i3i−i3−300000000000000
χ542-22-2-1−2i2i00221-11-22-2-22-23−33−30i−ii3−i3-1-1−2i2i−2i2i000000001-111-11ii−i−iii−i−i3−33−33−33−3i3i3−i3−i3i3i3−i3−i3-222i−2i0000001-1−i3i3−ii−3300000000000000
χ552-22-2-1−2i2i00221-11-22-2-22-2−33−330i−i−i3i3-1-1−2i2i−2i2i000000001-111-11ii−i−iii−i−i−33−33−33−33−i3−i3i3i3−i3−i3i3i32-2−2i2i000000-11−i3i3i−i−3300000000000000
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χ864-44-4-24i−4i00−1+5−1−52-221−5−1+51−51+5−1−51+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
χ874-44-4-2−4i4i00−1−5−1+52-221+5−1−51+51−5−1+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
χ884-44-4-2−4i4i00−1−5−1+52-221+5−1−51+51−5−1+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
χ894-44-4-2−4i4i00−1+5−1−52-221−5−1+51−51+5−1−51+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
χ904-44-4-2−4i4i00−1+5−1−52-221−5−1+51−51+5−1−51+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
χ914-4-444000044-4-44-4-44-4-4400000000044000000000000-4-44-4-4400000000000000000000000000000000000000000000000000000000
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χ954-4-4440000−1+5−1−5-4-441−51−5−1+51+51+5−1−5000000000−1+5−1−500000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ591−51−5−1+51+51+5−1−50000000000000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900000000000000000000000000000000
χ964-4-44-200004422-2-4-44-4-44−2i32i32i3−2i300000-2-200000000000022-222-200000000−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000
χ974-4-44-200004422-2-4-44-4-442i3−2i3−2i32i300000-2-200000000000022-222-2000000002i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000
χ984-4-44-20000−1−5−1+522-21+51+5−1−51−51−5−1+5−2i32i32i3−2i3000001+521−5200000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−52−1−521+52−1+52−1+521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ11−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
χ994-4-44-20000−1−5−1+522-21+51+5−1−51−51−5−1+5−2i32i32i3−2i3000001+521−52000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−1−52−1−521+52−1+52−1+521−52−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−ζ47ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000000000
χ1004-4-44-20000−1−5−1+522-21+51+5−1−51−51−5−1+52i3−2i3−2i32i3000001+521−5200000000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47−1−52−1−521+52−1+52−1+521−52−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−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ11−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
χ1014-4-44-20000−1−5−1+522-21+51+5−1−51−51−5−1+52i3−2i3−2i32i3000001+521−52000000002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−1−52−1−521+52−1+52−1+521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ4700000000000000000000000000000000
χ1024-4-44-20000−1+5−1−522-21−51−5−1+51+51+5−1−5−2i32i32i3−2i3000001−521+52000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+52−1+521−52−1−52−1−521+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−ζ59ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−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
χ1034-4-44-20000−1+5−1−522-21−51−5−1+51+51+5−1−5−2i32i32i3−2i3000001−521+5200000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+52−1+521−52−1−52−1−521+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+ζ59ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ7−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
χ1044-4-44-20000−1+5−1−522-21−51−5−1+51+51+5−1−52i3−2i3−2i32i3000001−521+52000000002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−1+52−1+521−52−1−52−1−521+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−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−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
χ1054-4-44-20000−1+5−1−522-21−51−5−1+51+51+5−1−52i3−2i3−2i32i3000001−521+5200000000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59−1+52−1+521−52−1−52−1−521+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−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ7−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

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