Finite Group Databasebeta

← Group #72260296

Character table — Group #72260296

Order 4800.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148
size1122222222233444444444444444444446666666668888121212121212121212121212121212121212121216161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161625255060606060606060607575120120120120120120120120120120120120120120120120150200200200200
order12255551010101022555510101010101010101010101010101010210101010101010103666101010101010101010101010101010101010101015151515151515151515151530303030303030303030303030303030303030303030303030303030303030303030303022222444444221010101020202020202020202020202026666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-11-11-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1
χ511-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11-11-1111111-1-1-1-111-1-111-1-1-111-1-1
χ611-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11-1111-1-1-1-11111-1-111-1-111-111-1-1
χ711-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-1-1-11111-1-1-1-1111-1-111
χ811-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-11111-1-1-1-11111-1-11-1-111
χ9222222222222222222222222222222222222222222-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000002200000000000000002-1-1-1-1
χ10222222222222222222222222222222222222222222-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200000000-2-20000000000000000-21111
χ1122222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000020200220000−1+52−1−5200−1+52−1−520000−1+52−1−52−1+52−1−5200000
χ1222222−1+52−1−5222−1+52−1−5222−1+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+52−1−52−1−52−1−52−1−5222222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000-20-200-2-200001−521+52001−521+5200001−521+521−521+5200000
χ1322222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+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+5222222−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1−52−1+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+52000020200220000−1−52−1+5200−1−52−1+520000−1−52−1+52−1−52−1+5200000
χ1422222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+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+5222222−1−52−1−52−1+52−1+52222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1−52−1+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+520000-20-200-2-200001+521−52001+521−5200001+521−521+521−5200000
χ15222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−522−1+52−1+52−1−52−1−5222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520002020220000−1+52−1−5200−1+52−1−5200−1+52−1−52−1+52−1−52000000000
χ16222−1+52−1−5222−1+52−1−522222−1+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+52−1−52−1−522−1+52−1+52−1−52−1−5222222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52000-20-20-2-200001−521+52001−521+52001−521+521−521+52000000000
χ17222−1−52−1+5222−1−52−1+522222−1−52−1+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+522−1−52−1−52−1+52−1+5222222222−1−52−1+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+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+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+520002020220000−1−52−1+5200−1−52−1+5200−1−52−1+52−1−52−1+52000000000
χ18222−1−52−1+5222−1−52−1+522222−1−52−1+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+522−1−52−1−52−1+52−1+5222222222−1−52−1+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+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+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+52000-20-20-2-200001+521−52001+521−52001+521−521+521−52000000000
χ1922-222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-222222222-1-111-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111122-200000000220000000000000000-2-1-111
χ2022-222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-222222222-1-111-2-2-2-222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-2-2200000000-2-20000000000000000211-1-1
χ2122-222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22222−1+52−1+52−1−52−1−5222-2-2-2-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222−1+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+52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+52000020-2002-20000−1+52−1−52001−521+520000−1+52−1−521−521+5200000
χ2222-222−1+52−1−5222−1+52−1−5222−1+52−1+52−1−52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22222−1+52−1+52−1−52−1−5222-2-2-2-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222−1+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+52−1−52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+521+521+520000-20200-2200001−521+5200−1+52−1−5200001−521+52−1+52−1−5200000
χ2322-222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22222−1−52−1−52−1+52−1+5222-2-2-2-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1+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+52-2-2-2-21+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−52000020-2002-20000−1−52−1+52001+521−520000−1−52−1+521+521−5200000
χ2422-222−1−52−1+5222−1−52−1+5222−1−52−1−52−1+52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22222−1−52−1−52−1+52−1+5222-2-2-2-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1+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+52-2-2-2-21+521+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−521−521−520000-20200-2200001+521−5200−1−52−1+5200001+521−52−1−52−1+5200000
χ2522-2−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2−1+52−1+52−1−52−1−52222222-2-21−521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222−1+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+52−1−52−1−521−521−521+521+52-2-21−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+5200020-202-20000−1+52−1−52001−521+5200−1+52−1−521−521+52000000000
χ2622-2−1+52−1−5222−1+52−1−522222−1+52−1−52−1+52−1−521−521+52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2−1+52−1+52−1−52−1−52222222-2-21−521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222−1+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+52−1−52−1−521−521−521+521+52-2-21−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+52000-2020-2200001−521+5200−1+52−1−52001−521+52−1+52−1−52000000000
χ2722-2−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+521+521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2−1−52−1−52−1+52−1+52222222-2-21+521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+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+521+521+521−521−52-2-21+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−5200020-202-20000−1−52−1+52001+521−5200−1−52−1+521+521−52000000000
χ2822-2−1−52−1+5222−1−52−1+522222−1−52−1+52−1−52−1+521+521−52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2−1−52−1−52−1+52−1+52222222-2-21+521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+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+521+521+521−521−52-2-21+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−52000-2020-2200001+521−5200−1−52−1+52001+521−52−1−52−1+52000000000
χ292-202222-2-2-2-22-222220000-2-2-2-20000000002-22-22-22-22-20000002-22-22-22-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002-20000000002-2000000000000000002-200
χ302-202222-2-2-2-22-222220000-2-2-2-20000000002-22-22-22-22-20000002-22-22-22-200000000222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-22000000000-2200000000000000000-2200
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χ322-202222-2-2-2-22-222220000-2-2-2-20000000002-22-22-22-2-11i3−i300002-22-22-22-200000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-22000000000-22000000000000000001-1−i3i3
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χ58444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5443+52-1-13−52−1−5−1+5−1−5−1+53+52-1-13−523+523+52-1-1-1-13−523−524−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-2-2-2-2−1−5−1+5−1−5−1+53+523+52-1-1-1-13−523−523+523+52-1-1-1-13−523−521+521−521+521−52−2ζ+ζ2−2ζ4−2ζ7+ζ8−2ζ13−2ζ2+ζ7−2ζ8−2ζ11+ζ13−2ζ141−i1521+i1521−i1521+i152−2ζ−2ζ4−2ζ7+ζ11−2ζ13+ζ14ζ−2ζ2+ζ4−2ζ8−2ζ11−2ζ141+521−521+52−2ζ+ζ2−2ζ4−2ζ7+ζ8−2ζ13−2ζ2+ζ7−2ζ8−2ζ11+ζ13−2ζ141−i1521+i1521−521−i1521+i152−2ζ−2ζ4−2ζ7+ζ11−2ζ13+ζ14ζ−2ζ2+ζ4−2ζ8−2ζ11−2ζ141+521+521−521−521+521+52−2ζ+ζ2−2ζ4−2ζ7+ζ8−2ζ13−2ζ2+ζ7−2ζ8−2ζ11+ζ13−2ζ14−2ζ+ζ2−2ζ4−2ζ7+ζ8−2ζ13−2ζ2+ζ7−2ζ8−2ζ11+ζ13−2ζ141−i1521+i1521−i1521+i1521−521−521−i1521+i1521−i1521+i152−2ζ−2ζ4−2ζ7+ζ11−2ζ13+ζ14ζ−2ζ2+ζ4−2ζ8−2ζ11−2ζ14−2ζ−2ζ4−2ζ7+ζ11−2ζ13+ζ14ζ−2ζ2+ζ4−2ζ8−2ζ11−2ζ140000000000000000000000000000000000
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χ6344-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5443−52-1-13+521−51+51−51+53−52-1-13+52−3+52−3+521111−3−52−3−52-4−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-2-2221−51+51−51+53−523−52-1-1-1-13+523+52−3+52−3+521111−3−52−3−521−521+521−521+52ζ−2ζ2+ζ4−2ζ8−2ζ11−2ζ14−2ζ−2ζ4−2ζ7+ζ11−2ζ13+ζ141−i1521+i1521−i1521+i152−2ζ2+ζ7−2ζ8−2ζ11+ζ13−2ζ14−2ζ+ζ2−2ζ4−2ζ7+ζ8−2ζ131−521+521−52ζ−2ζ2+ζ4−2ζ8−2ζ11−2ζ14−2ζ−2ζ4−2ζ7+ζ11−2ζ13+ζ141−i1521+i1521+521−i1521+i152−2ζ2+ζ7−2ζ8−2ζ11+ζ13−2ζ14−2ζ+ζ2−2ζ4−2ζ7+ζ8−2ζ13−1+52−1+52−1−52−1−52−1+52−1+52−ζ+2ζ2−ζ4+2ζ8+2ζ11+2ζ142ζ+2ζ4+2ζ7−ζ11+2ζ13−ζ14−ζ+2ζ2−ζ4+2ζ8+2ζ11+2ζ142ζ+2ζ4+2ζ7−ζ11+2ζ13−ζ14−1+i152−1−i152−1+i152−1−i152−1−52−1−52−1+i152−1−i152−1+i152−1−i1522ζ2−ζ7+2ζ8+2ζ11−ζ13+2ζ142ζ−ζ2+2ζ4+2ζ7−ζ8+2ζ132ζ2−ζ7+2ζ8+2ζ11−ζ13+2ζ142ζ−ζ2+2ζ4+2ζ7−ζ8+2ζ130000000000000000000000000000000000
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χ6544-4−1+5−1−5−1−5−1+5−1+5−1−5−1−5−1+544-13+523−52-11−51+51+51−5-13+523−52-111−3−52−3−52−3+52−3+5211-4−1+5−1+5−1−5−1−5−1−5−1−5−1+5−1+544-4-41−51+51+51−5-1-13+523+523−523−52-1-111−3−52−3−52−3+52−3+5211−1+5−1−5−1−5−1+5-1-13+523+523−523−52-1-1−1+5−1−5−1−5-1-13+523+52−1+53−523−52-1-11−51−51+51+51+51+51111−3−52−3−52−3−52−3−521−51−5−3+52−3+52−3+52−3+5211110000000000000000000000000000000000
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χ130121212−3+35−3−35−3−35−3+35−3+35−3−35−3−35−3+35-4-4-39+3529−352-3−3+35−3−35−3−35−3+35-39+3529−352-3-3-39+3529+3529−3529−352-3-3-41−51−51+51+51+51+51−51−500001−51+51+51−511−3−52−3−52−3+52−3+521111−3−52−3−52−3+52−3+52110000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ131121212−3−35−3+35−3+35−3−35−3−35−3+35−3+35−3−35-4-4-39−3529+352-3−3−35−3+35−3+35−3−35-39−3529+352-3-3-39−3529−3529+3529+352-3-3-41+51+51−51−51−51−51+51+500001+51−51−51+511−3+52−3+52−3−52−3−521111−3+52−3+52−3−52−3−52110000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ132121212−3−35−3+35−3−35−3+35−3−35−3+35−3−35−3+35-4-49+352-3-39−352−3−35−3+35−3−35−3+359+352-3-39−3529+3529+352-3-3-3-39−3529−352-41+51+51−51−51+51+51−51−500001+51−51+51−5−3−52−3−521111−3+52−3+52−3−52−3−521111−3+52−3+520000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1331212-12−3+35−3−35−3+35−3−35−3+35−3−35−3+35−3−35-4-49−352-3-39+3523−353+353−353+359−352-3-39+352−9+352−9+3523333−9−352−9−35241−51−51+51+51−51−51+51+50000−1+5−1−5−1+5−1−5−3+52−3+521111−3−52−3−523−523−52-1-1-1-13+523+520000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1341212-12−3+35−3−35−3−35−3+35−3+35−3−35−3−35−3+35-4-4-39+3529−352-33−353+353+353−35-39+3529−352-333−9−352−9−352−9+352−9+3523341−51−51+51+51+51+51−51−50000−1+5−1−5−1−5−1+511−3−52−3−52−3+52−3+5211-1-13+523+523−523−52-1-10000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1351212-12−3−35−3+35−3+35−3−35−3−35−3+35−3+35−3−35-4-4-39−3529+352-33+353−353−353+35-39−3529+352-333−9+352−9+352−9−352−9−3523341+51+51−51−51−51−51+51+50000−1−5−1+5−1+5−1−511−3+52−3+52−3−52−3−5211-1-13−523−523+523+52-1-10000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1361212-12−3−35−3+35−3−35−3+35−3−35−3+35−3−35−3+35-4-49+352-3-39−3523+353−353+353−359+352-3-39−352−9−352−9−3523333−9+352−9+35241+51+51−51−51+51+51−51−50000−1−5−1+5−1−5−1+5−3−52−3−521111−3+52−3+523+523+52-1-1-1-13−523−520000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13712-1201212−3+35−3−35-12-123−353+35-44−3+35−3+35−3−35−3−3500003−353−353+353+35000000000-44-441−5−1+51+5−1−5000000001−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13812-1201212−3−35−3+35-12-123+353−35-44−3−35−3−35−3+35−3+3500003+353+353−353−35000000000-44-441+5−1−51−5−1+5000000001+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ14012-120−3+35−3−35−3+35−3−353−353+353−353+35-449−352-3-39+3520000−9+35233−9−35215+352−15−35235−3535−3515−352−15+35201−5−1+51+5−1−51−5−1+51+5−1−500000000−3+523−521-11-1−3−523+52−5−525+52−55−55−5+525−520000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ14412-120−3−35−3+3512123+353−35-12-12-44−3−35−3+35−3−35−3+3500003+353−353+353−350000000001+5−1−51−5−1+5-44-44000000001+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14512-120−3−35−3+35−3+35−3−353+353−353−353+35-44-39−3529+352-300003−9+352−9−352335−35−15−35215+35215−352−15+352−353501+5−1−51−5−1+51−5−1+51+5−1−5000000001-1−3+523−52−3−523+521-1−555+52−5−52−5+525−525−50000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14612-120−3−35−3+35−3+35−3−353+353−353−353+35-44-39−3529+352-300003−9+352−9−3523−353515+352−15−352−15+35215−35235−3501+5−1−51−5−1+51−5−1+51+5−1−5000000001-1−3+523−52−3−523+521-15−5−5−525+525−52−5+52−550000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14712-120−3−35−3+35−3−35−3+353+353−353+353−35-449+352-3-39−3520000−9−35233−9+35215−352−15+352−3535−353515+352−15−35201+5−1−51−5−1+51+5−1−51−5−1+500000000−3−523+521-11-1−3+523−52−5+525−525−55−5−5−525+520000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14812-120−3−35−3+35−3−35−3+353+353−353+353−35-449+352-3-39−3520000−9−35233−9+352−15+35215−35235−3535−35−15−35215+35201+5−1−51−5−1+51+5−1−51−5−1+500000000−3−523+521-11-1−3+523−525−52−5+52−55−555+52−5−520000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.