Finite Group Databasebeta

← Group #11754413

Character table — Group #11754413

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444444444444444444444444444444441010101012121212202020202020202020202424242424242424303030306060
order1222223445566666661010101010104101010101212121215152020202020202020303030303030303030303030303060606060606060606060606060606060444422444412121212121212121010101020202020444424
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
χ51111111-1-1111111111111111-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-11111-1-1-1-111-1-111-1-11111-1-1
χ61111111-1-1111111111111111-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-11111-1-1-1-1-1-111-1-111-1-1-1-111
χ71111111-1-1111111111111111-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-11-1-1-1-1111111-1-111-1-1-1-1-1-111
χ81111111-1-1111111111111111-11111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11-1-1-1-11111-1-111-1-1111111-1-1
χ91111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-111-1-1-1-11111-1-1-11
χ101111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1
χ111111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-11111-1-1-1-111-1-1111-1
χ121111-1-1111111-1-1-1-111111111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-111-1-11111-1-111-1-1-11
χ131111-1-11-1-1111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1111-1-1-1-1111111-1-1-1-111-1-11-1
χ141111-1-11-1-1111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1111-1-1-1-111-1-1-1-11111-1-111-11
χ151111-1-11-1-1111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-1-11111-1-11111-1-1-1-1-1-111-11
χ161111-1-11-1-1111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-11111-1-1-1-1-1-1111111-1-11-1
χ17222222222−1−52−1+522222222−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+522222222−1−52−1+52−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+522222222−1−52−1+52−1−52−1+52−1−52−1+52-2−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+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+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+522222222−1−52−1+52−1−52−1+52−1−52−1+52-2−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+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+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+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52-2−1+52−1+52−1−52−1−52-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−522222222−1+52−1−52−1+52−1−52−1+52−1−52-2−1+52−1+52−1−52−1−52-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52−1+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
χ25222222-12222-1-1-1-1-1-1-122222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-1-1-1-1-100000000000000
χ26222222-12222-1-1-1-1-1-1-122222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111111100000000000000
χ27222222-1-2-222-1-1-1-1-1-1-1222222-222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-200002-2-1-1-1-1111100000000000000
χ28222222-1-2-222-1-1-1-1-1-1-1222222-222221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2220000-221111-1-1-1-100000000000000
χ292222-2-2222−1−52−1+522-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+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+521−521−521−521−5200002-2-220000000000−1−52−1+521+521−521+521−52−1−52−1+52000000
χ302222-2-2222−1−52−1+522-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52-21+521+521−521−5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+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+521−521−521−521−520000-222-200000000001+521−52−1−52−1+52−1−52−1+521+521−52000000
χ312222-2-2222−1+52−1−522-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+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+5200002-2-220000000000−1+52−1−521−521+521−521+52−1+52−1−52000000
χ322222-2-2222−1+52−1−522-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52-21−521−521+521+5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+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+520000-222-200000000001−521+52−1+52−1−52−1+52−1−521−521+52000000
χ332222-2-22-2-2−1−52−1+522-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+5221+521+521−521−52-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022-2-20000000000−1−52−1+52−1−52−1+521+521−521+521−52000000
χ342222-2-22-2-2−1−52−1+522-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+5221+521+521−521−52-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-22200000000001+521−521+521−52−1−52−1+52−1−52−1+52000000
χ352222-2-22-2-2−1+52−1−522-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−5221−521−521+521+52-2-222−1+52−1−521−521−521+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+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022-2-20000000000−1+52−1−52−1+52−1−521−521+521−521+52000000
χ362222-2-22-2-2−1+52−1−522-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−5221−521−521+521+52-2-222−1+52−1−521−521−521+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+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-22200000000001−521+521−521+52−1+52−1−52−1+52−1−52000000
χ372222-2-2-12222-11111-1-1222222-2-2-2-2-2-1-111-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111122220000-2-2-1-111-1-11100000000000000
χ382222-2-2-12222-11111-1-1222222-2-2-2-2-2-1-111-1-12222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-2-2-2-200002211-1-111-1-100000000000000
χ392222-2-2-1-2-222-11111-1-12222222-2-2-2-211-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-122-2-20000-22-1-11111-1-100000000000000
χ402222-2-2-1-2-222-11111-1-12222222-2-2-2-211-1-1-1-1-2-2-2-22222-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-2-22200002-211-1-1-1-11100000000000000
χ4122-2-22-220022222-2-2-2-2-2-2-2-22202-22-2000022000000002-22-222-2-222-2-2-2-20000000000000000000000000000000000000000002i−2i2i−2i00
χ4222-2-22-220022222-2-2-2-2-2-2-2-22202-22-2000022000000002-22-222-2-222-2-2-2-2000000000000000000000000000000000000000000−2i2i−2i2i00
χ4322-2-2-22200222-2-222-2-2-2-2-2-2220-22-22000022000000002-22-2-2-222-2-222-2-20000000000000000000000000000000000000000002i−2i−2i2i00
χ4422-2-2-22200222-2-222-2-2-2-2-2-2220-22-22000022000000002-22-2-2-222-2-222-2-2000000000000000000000000000000000000000000−2i2i2i−2i00
χ452-22-20022i−2i22-200002-222-2-2-2-2000002i−2i00222i−2i2i−2i0000-22-2200000000-2-22i2i−2i−2i2i2i−2i−2i000000002-22i−2i0000002-2002i−2i0000000000000000
χ462-22-20022i−2i22-200002-222-2-2-2-2000002i−2i00222i−2i2i−2i0000-22-2200000000-2-22i2i−2i−2i2i2i−2i−2i00000000-22−2i2i000000-2200−2i2i0000000000000000
χ472-22-2002−2i2i22-200002-222-2-2-2-200000−2i2i0022−2i2i−2i2i0000-22-2200000000-2-2−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i0000002-200−2i2i0000000000000000
χ482-22-2002−2i2i22-200002-222-2-2-2-200000−2i2i0022−2i2i−2i2i0000-22-2200000000-2-2−2i−2i2i2i−2i−2i2i2i00000000-222i−2i000000-22002i−2i0000000000000000
χ492-22-200-12i−2i221−i3i3−i3i3-1122-2-2-2-200000−ii3−3-1-12i−2i2i−2i00001-11-1−i3i3−i3i3−i3i3−i3i311−i−iii−i−iii33−3−333−3−32-22i−2i000000-11−i3i3−ii3−300000000000000
χ502-22-200-12i−2i221−i3i3−i3i3-1122-2-2-2-200000−ii3−3-1-12i−2i2i−2i00001-11-1−i3i3−i3i3−i3i3−i3i311−i−iii−i−iii33−3−333−3−3-22−2i2i0000001-1i3−i3i−i−3300000000000000
χ512-22-200-12i−2i221i3−i3i3−i3-1122-2-2-2-200000−ii−33-1-12i−2i2i−2i00001-11-1i3−i3i3−i3i3−i3i3−i311−i−iii−i−iii−3−333−3−3332-22i−2i000000-11i3−i3−ii−3300000000000000
χ522-22-200-12i−2i221i3−i3i3−i3-1122-2-2-2-200000−ii−33-1-12i−2i2i−2i00001-11-1i3−i3i3−i3i3−i3i3−i311−i−iii−i−iii−3−333−3−333-22−2i2i0000001-1−i3i3i−i3−300000000000000
χ532-22-200-1−2i2i221−i3i3−i3i3-1122-2-2-2-200000i−i−33-1-1−2i2i−2i2i00001-11-1−i3i3−i3i3−i3i3−i3i311ii−i−iii−i−i−3−333−3−3332-2−2i2i000000-11−i3i3i−i−3300000000000000
χ542-22-200-1−2i2i221−i3i3−i3i3-1122-2-2-2-200000i−i−33-1-1−2i2i−2i2i00001-11-1−i3i3−i3i3−i3i3−i3i311ii−i−iii−i−i−3−333−3−333-222i−2i0000001-1i3−i3−ii3−300000000000000
χ552-22-200-1−2i2i221i3−i3i3−i3-1122-2-2-2-200000i−i3−3-1-1−2i2i−2i2i00001-11-1i3−i3i3−i3i3−i3i3−i311ii−i−iii−i−i33−3−333−3−32-2−2i2i000000-11i3−i3i−i3−300000000000000
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χ894-44-400-2−4i4i−1+5−1−52−2i32i3−2i32i3-22−1+5−1−51−51+51−51+5000002i−2i−23231−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−1+521−52−1−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46−1+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+ζ47−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ5900000000000000000000000000000000
χ904-44-400-2−4i4i−1+5−1−522i3−2i32i3−2i3-22−1+5−1−51−51+51−51+5000002i−2i23−231−521+522ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ590000−1+521−52−1−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−1+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−ζ47ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ11−ζ19−ζ31+ζ5900000000000000000000000000000000
χ914-4-440040044-40000-44-4-444-4-40000000004400000000-4-4-4-40000000044000000000000000000000000000000000000000000000000
χ924-4-4400400−1−5−1+5-40000-441+51−5−1−5−1+51+51−5000000000−1−5−1+50000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ581+51+51−51−500000000−1−5−1+500000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ5800000000000000000000000000000000
χ934-4-4400400−1−5−1+5-40000-441+51−5−1−5−1+51+51−5000000000−1−5−1+500002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ581+51+51−51−500000000−1−5−1+5000000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ5800000000000000000000000000000000
χ944-4-4400400−1+5−1−5-40000-441−51+5−1+5−1−51−51+5000000000−1+5−1−500002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ461−51−51+51+500000000−1+5−1−5000000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ4600000000000000000000000000000000
χ954-4-4400400−1+5−1−5-40000-441−51+5−1+5−1−51−51+5000000000−1+5−1−50000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ461−51−51+51+500000000−1+5−1−500000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ4600000000000000000000000000000000
χ964-4-4400-200442−2i32i32i3−2i32-2-4-444-4-4000000000-2-2000000002222−2i32i32i3−2i3−2i32i32i3−2i3-2-2000000000000000000000000000000000000000000000000
χ974-4-4400-2004422i3−2i3−2i32i32-2-4-444-4-4000000000-2-20000000022222i3−2i3−2i32i32i3−2i3−2i32i3-2-2000000000000000000000000000000000000000000000000
χ984-4-4400-200−1−5−1+52−2i32i32i3−2i32-21+51−5−1−5−1+51+51−50000000001+521−520000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52−1−52−1+52−1+52ζ14+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−ζ581+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−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−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000000000000000000000000000
χ994-4-4400-200−1−5−1+52−2i32i32i3−2i32-21+51−5−1−5−1+51+51−50000000001+521−5200002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−52−1−52−1+52−1+52ζ14+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−ζ581+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−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+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000000000000000000000000000
χ1004-4-4400-200−1−5−1+522i3−2i3−2i32i32-21+51−5−1−5−1+51+51−50000000001+521−520000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−52−1−52−1+52−1+52−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+ζ581+521−52ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ5800000000000000000000000000000000
χ1014-4-4400-200−1−5−1+522i3−2i3−2i32i32-21+51−5−1−5−1+51+51−50000000001+521−5200002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−52−1−52−1+52−1+52−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+ζ581+521−52−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ5800000000000000000000000000000000
χ1024-4-4400-200−1+5−1−52−2i32i32i3−2i32-21−51+5−1+5−1−51−51+50000000001−521+5200002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1+52−1−52−1−52ζ2−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−ζ461−521+52ζ2−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−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+ζ4600000000000000000000000000000000
χ1034-4-4400-200−1+5−1−52−2i32i32i3−2i32-21−51+5−1+5−1−51−51+50000000001−521+520000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1+52−1−52−1−52ζ2−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−ζ461−521+52−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−ζ46ζ2+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−ζ4600000000000000000000000000000000
χ1044-4-4400-200−1+5−1−522i3−2i3−2i32i32-21−51+5−1+5−1−51−51+50000000001−521+5200002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+52−1+52−1−52−1−52−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+ζ461−521+52−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−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+ζ4600000000000000000000000000000000
χ1054-4-4400-200−1+5−1−522i3−2i3−2i32i32-21−51+5−1+5−1−51−51+50000000001−521+520000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+52−1+52−1−52−1−52−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+ζ461−521+52ζ2−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+ζ46ζ2+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−ζ4600000000000000000000000000000000

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