Finite Group Databasebeta

← Group #72230988

Character table — Group #72230988

Order 2400.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11222222222224444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888850505050606060606060606060606060100100100100120120120120
order123455556101010102555566101010101215151515151515151515151520202020303030303030303030303030101010101010101010101010202020203030303030303030303030303030303030303030303030306060606060606060606060602466248840404040404040402661210102020
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-111
χ51111111111111-11111-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ61111111111111-11111-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111111111-1-1-11-1-1-1-1
χ71111111111111-11111-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-1-1-11111111-111-1-1
χ81111111111111-11111-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-11111-1-1-1-1111-1-1-111
χ9222222−1−52−1+522−1−52−1+52222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+5200002020−1−52−1−52−1+52−1+5200000000−1−52−1+5200
χ10222222−1−52−1+522−1−52−1+52222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+5222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000-20-201+521+521−521−52000000001+521−5200
χ11222222−1−52−1+522−1−52−1+5222-2−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+52-2-21+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52000020-201+521+521−521−5200000000−1−52−1+5200
χ12222222−1−52−1+522−1−52−1+5222-2−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+52-2-21+521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2-2-2-21+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−5222−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+520000-2020−1−52−1−52−1+52−1+52000000001+521−5200
χ13222222−1+52−1−522−1+52−1−52222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5200002020−1+52−1+52−1−52−1−5200000000−1+52−1−5200
χ14222222−1+52−1−522−1+52−1−52222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−5222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000-20-201−521−521+521+52000000001−521+5200
χ15222222−1+52−1−522−1+52−1−5222-2−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52000020-201−521−521+521+5200000000−1+52−1−5200
χ16222222−1+52−1−522−1+52−1−5222-2−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52-2-21−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-2-2-21−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+5222−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−520000-2020−1+52−1+52−1−52−1−52000000001−521+5200
χ172222−1−52−1+5222222−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52000002020000−1−52−1−52−1+52−1+52000000−1−52−1+52
χ182222−1−52−1+5222222−1−52−1+522−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5200000-20-200001+521+521−521−520000001+521−52
χ192222−1−52−1+5222222−1−52−1+52-2−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−52-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-21+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+520000020-200001+521+521−521−52000000−1−52−1+52
χ202222−1−52−1+5222222−1−52−1+52-2−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521−52-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-21+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−52−1−52−1+522−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+5200000-2020000−1−52−1−52−1+52−1+520000001+521−52
χ212222−1+52−1−5222222−1+52−1−522−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52000002020000−1+52−1+52−1−52−1−52000000−1+52−1−52
χ222222−1+52−1−5222222−1+52−1−522−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5200000-20-200001−521−521+521+520000001−521+52
χ232222−1+52−1−5222222−1+52−1−52-2−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+52-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-21−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−520000020-200001−521−521+521+52000000−1+52−1−52
χ242222−1+52−1−5222222−1+52−1−52-2−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521+52-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-21−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+52−1+52−1−522−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−5200000-2020000−1+52−1+52−1−52−1−520000001−521+52
χ25222-222222222202222002222-2222222222222-2-2-2-2222222222222000000000000-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22-222000000000000000-20000
χ26222-222222222202222002222-2222222222222-2-2-2-2222222222222000000000000-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-22-2-200000000000000020000
χ2722-122222-1222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-10000000000002-1-1-10000
χ2822-122222-1222222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211000000000000-21110000
χ2922-122222-12222-22222112222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1000000000000-211-10000
χ3022-122222-12222-22222112222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2110000000000002-1-110000
χ3122-1-22222-1222202222−i3i322221-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3i31111111111112-2-1-10000000000000−i3i310000
χ3222-1-22222-1222202222−i3i322221-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2−i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3i3111111111111-22110000000000000i3−i3-10000
χ3322-1-22222-1222202222i3−i322221-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31111111111112-2-1-10000000000000i3−i310000
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χ1064-44044−1+5−1−5-41−51+5-4-40−1+5−1+5−1−5−1−5001−51−51+51+5044−1+5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000-4-41−51−51−51−51−51+51+51+51+51+5000000000000000000000000000000000000000000000000000000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103000000000000
χ1074-44044−1+5−1−5-41−51+5-4-40−1+5−1+5−1−5−1−5001−51−51+51+5044−1+5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000-4-41−51−51−51−51−51+51+51+51+51+5000000000000000000000000000000000000000000000000000000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103000000000000
χ1084-440−1−5−1+544-4-4-41+51−50−1−5−1+5−1−5−1+5001+51−51+51−50−1−5−1+544−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500001+51−5-41+51+51−51−5-41+51+51−51−50000000000000000000000000000000000000000000000000000000000000000ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ11900000000
χ1094-440−1−5−1+544-4-4-41+51−50−1−5−1+5−1−5−1+5001+51−51+51−50−1−5−1+544−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+500001+51−5-41+51+51−51−5-41+51+51−51−50000000000000000000000000000000000000000000000000000000000000000−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ11900000000
χ1104-440−1+5−1−544-4-4-41−51+50−1+5−1−5−1+5−1−5001−51+51−51+50−1+5−1−544−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−500001−51+5-41−51−51+51+5-41−51−51+51+50000000000000000000000000000000000000000000000000000000000000000−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ10300000000
χ1114-440−1+5−1−544-4-4-41−51+50−1+5−1−5−1+5−1−5001−51+51−51+50−1+5−1−544−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−500001−51+5-41−51−51+51+5-41−51−51+51+50000000000000000000000000000000000000000000000000000000000000000ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ10300000000
χ1124-4-2044442-4-4-4-40444400-4-4-4-40-2-2-2-2-2-2-2-2-2-2-2-20000222222222222000000000000000000000000000000000000000000000000000000−2i32i300000000000000000000
χ1134-4-2044442-4-4-4-40444400-4-4-4-40-2-2-2-2-2-2-2-2-2-2-2-200002222222222220000000000000000000000000000000000000000000000000000002i3−2i300000000000000000000
χ1148-880−2−25−2+25−2−25−2+25-82+252−252+252−2503+5-2-23−500−3−522−3+50−2−25−2+25−2−25−2+253+53+5-2-2-2-23−53−500002+252−252+25−3−5−3−5222−2522−3+5−3+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-880−2−25−2+25−2+25−2−25-82−252+252+252−250-23−53+5-2002−3+5−3−520−2−25−2+25−2+25−2−25-2-23−53−53+53+5-2-200002+252−252−2522−3+5−3+52+25−3−5−3−5220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-880−2+25−2−25−2−25−2+25-82+252−252−252+250-23+53−5-2002−3−5−3+520−2+25−2−25−2−25−2+25-2-23+53+53−53−5-2-200002−252+252+2522−3−5−3−52−25−3+5−3+5220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-880−2+25−2−25−2+25−2−25-82−252+252−252+2503−5-2-23+500−3+522−3−50−2+25−2−25−2+25−2−253−53−5-2-2-2-23+53+500002−252+252−25−3+5−3+5222+2522−3−5−3−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-4088−2−25−2+2542+252−25-8-80−2−25−2−25−2+25−2+25002+252+252−252−250-4-41+51−51+51+51+51+51−51−51−51−5000044−1−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-4088−2+25−2−2542−252+25-8-80−2+25−2+25−2−25−2−25002−252−252+252+250-4-41−51+51−51−51−51−51+51+51+51+5000044−1+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-40−2−25−2+25884-8-82+252−250−2−25−2+25−2−25−2+25002+252−252+252−2501+51−5-4-41+51+51−51−51+51+51−51−50000−1−5−1+54−1−5−1−5−1+5−1+54−1−5−1−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-40−2−25−2+25−2−25−2+2542+252−252+252−2503+5-2-23−500−3−522−3+501+51−51+51−5−2ζ4+4ζ44+4ζ68−2ζ76+4ζ92+4ζ1164ζ4+4ζ28−2ζ44+4ζ52+4ζ76−2ζ1161−i151+i151−i151+i15−2ζ28+4ζ44−2ζ52+4ζ68+4ζ92+4ζ1164ζ4+4ζ28+4ζ52−2ζ68+4ζ76−2ζ920000−1−5−1+5−1−52ζ4−4ζ44−4ζ68+2ζ76−4ζ92−4ζ116−4ζ4−4ζ28+2ζ44−4ζ52−4ζ76+2ζ116−1+i15−1−i15−1+5−1+i15−1−i152ζ28−4ζ44+2ζ52−4ζ68−4ζ92−4ζ116−4ζ4−4ζ28−4ζ52+2ζ68−4ζ76+2ζ920000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-40−2−25−2+25−2−25−2+2542+252−252+252−2503+5-2-23−500−3−522−3+501+51−51+51−54ζ4+4ζ28−2ζ44+4ζ52+4ζ76−2ζ116−2ζ4+4ζ44+4ζ68−2ζ76+4ζ92+4ζ1161+i151−i151+i151−i154ζ4+4ζ28+4ζ52−2ζ68+4ζ76−2ζ92−2ζ28+4ζ44−2ζ52+4ζ68+4ζ92+4ζ1160000−1−5−1+5−1−5−4ζ4−4ζ28+2ζ44−4ζ52−4ζ76+2ζ1162ζ4−4ζ44−4ζ68+2ζ76−4ζ92−4ζ116−1−i15−1+i15−1+5−1−i15−1+i15−4ζ4−4ζ28−4ζ52+2ζ68−4ζ76+2ζ922ζ28−4ζ44+2ζ52−4ζ68−4ζ92−4ζ1160000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-40−2−25−2+25−2+25−2−2542−252+252+252−250-23−53+5-2002−3+5−3−5201+51−51−51+51−i151+i15−2ζ28+4ζ44−2ζ52+4ζ68+4ζ92+4ζ1164ζ4+4ζ28+4ζ52−2ζ68+4ζ76−2ζ924ζ4+4ζ28−2ζ44+4ζ52+4ζ76−2ζ116−2ζ4+4ζ44+4ζ68−2ζ76+4ζ92+4ζ1161+i151−i150000−1−5−1+5−1+5−1+i15−1−i152ζ28−4ζ44+2ζ52−4ζ68−4ζ92−4ζ116−4ζ4−4ζ28−4ζ52+2ζ68−4ζ76+2ζ92−1−5−4ζ4−4ζ28+2ζ44−4ζ52−4ζ76+2ζ1162ζ4−4ζ44−4ζ68+2ζ76−4ζ92−4ζ116−1−i15−1+i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-40−2−25−2+25−2+25−2−2542−252+252+252−250-23−53+5-2002−3+5−3−5201+51−51−51+51+i151−i154ζ4+4ζ28+4ζ52−2ζ68+4ζ76−2ζ92−2ζ28+4ζ44−2ζ52+4ζ68+4ζ92+4ζ116−2ζ4+4ζ44+4ζ68−2ζ76+4ζ92+4ζ1164ζ4+4ζ28−2ζ44+4ζ52+4ζ76−2ζ1161−i151+i150000−1−5−1+5−1+5−1−i15−1+i15−4ζ4−4ζ28−4ζ52+2ζ68−4ζ76+2ζ922ζ28−4ζ44+2ζ52−4ζ68−4ζ92−4ζ116−1−52ζ4−4ζ44−4ζ68+2ζ76−4ζ92−4ζ116−4ζ4−4ζ28+2ζ44−4ζ52−4ζ76+2ζ116−1+i15−1−i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-40−2+25−2−25884-8-82−252+250−2+25−2−25−2+25−2−25002−252+252−252+2501−51+5-4-41−51−51+51+51−51−51+51+50000−1+5−1−54−1+5−1+5−1−5−1−54−1+5−1+5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-40−2+25−2−25−2−25−2+2542+252−252−252+250-23+53−5-2002−3−5−3+5201−51+51+51−51−i151+i154ζ4+4ζ28−2ζ44+4ζ52+4ζ76−2ζ116−2ζ4+4ζ44+4ζ68−2ζ76+4ζ92+4ζ116−2ζ28+4ζ44−2ζ52+4ζ68+4ζ92+4ζ1164ζ4+4ζ28+4ζ52−2ζ68+4ζ76−2ζ921+i151−i150000−1+5−1−5−1−5−1+i15−1−i15−4ζ4−4ζ28+2ζ44−4ζ52−4ζ76+2ζ1162ζ4−4ζ44−4ζ68+2ζ76−4ζ92−4ζ116−1+52ζ28−4ζ44+2ζ52−4ζ68−4ζ92−4ζ116−4ζ4−4ζ28−4ζ52+2ζ68−4ζ76+2ζ92−1−i15−1+i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-40−2+25−2−25−2−25−2+2542+252−252−252+250-23+53−5-2002−3−5−3+5201−51+51+51−51+i151−i15−2ζ4+4ζ44+4ζ68−2ζ76+4ζ92+4ζ1164ζ4+4ζ28−2ζ44+4ζ52+4ζ76−2ζ1164ζ4+4ζ28+4ζ52−2ζ68+4ζ76−2ζ92−2ζ28+4ζ44−2ζ52+4ζ68+4ζ92+4ζ1161−i151+i150000−1+5−1−5−1−5−1−i15−1+i152ζ4−4ζ44−4ζ68+2ζ76−4ζ92−4ζ116−4ζ4−4ζ28+2ζ44−4ζ52−4ζ76+2ζ116−1+5−4ζ4−4ζ28−4ζ52+2ζ68−4ζ76+2ζ922ζ28−4ζ44+2ζ52−4ζ68−4ζ92−4ζ116−1+i15−1−i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-40−2+25−2−25−2+25−2−2542−252+252−252+2503−5-2-23+500−3+522−3−501−51+51−51+5−2ζ28+4ζ44−2ζ52+4ζ68+4ζ92+4ζ1164ζ4+4ζ28+4ζ52−2ζ68+4ζ76−2ζ921+i151−i151+i151−i15−2ζ4+4ζ44+4ζ68−2ζ76+4ζ92+4ζ1164ζ4+4ζ28−2ζ44+4ζ52+4ζ76−2ζ1160000−1+5−1−5−1+52ζ28−4ζ44+2ζ52−4ζ68−4ζ92−4ζ116−4ζ4−4ζ28−4ζ52+2ζ68−4ζ76+2ζ92−1−i15−1+i15−1−5−1−i15−1+i152ζ4−4ζ44−4ζ68+2ζ76−4ζ92−4ζ116−4ζ4−4ζ28+2ζ44−4ζ52−4ζ76+2ζ1160000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-40−2+25−2−25−2+25−2−2542−252+252−252+2503−5-2-23+500−3+522−3−501−51+51−51+54ζ4+4ζ28+4ζ52−2ζ68+4ζ76−2ζ92−2ζ28+4ζ44−2ζ52+4ζ68+4ζ92+4ζ1161−i151+i151−i151+i154ζ4+4ζ28−2ζ44+4ζ52+4ζ76−2ζ116−2ζ4+4ζ44+4ζ68−2ζ76+4ζ92+4ζ1160000−1+5−1−5−1+5−4ζ4−4ζ28−4ζ52+2ζ68−4ζ76+2ζ922ζ28−4ζ44+2ζ52−4ζ68−4ζ92−4ζ116−1+i15−1−i15−1−5−1+i15−1−i15−4ζ4−4ζ28+2ζ44−4ζ52−4ζ76+2ζ1162ζ4−4ζ44−4ζ68+2ζ76−4ζ92−4ζ1160000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.