Finite Group Databasebeta

← Group #12080910

Character table — Group #12080910

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101
size1111222222222222222222224444444444444888888888888888888888888888888881616161616161616161616161616161616164040404040404040404040408080
order1222224455101010101010101010101010101044444202020202020202044448888202020202020202040404040404040404040404040404040442020202020202020202020202020202024444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-111-1111111-1-1
χ91111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11-1-11-111-111-1-11-1
χ101111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1-111-11-1-11-1-111-11
χ111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-111111-1-11-111-1-1-111-11
χ121111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-111111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1111-1-111-1-1-1-1-1-11111-111-11-1-1111-1-11-1
χ131111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11111-11-1111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111111-1-1-111-1111-1-1-11
χ141111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11111-11-1111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11111-1111-1-11-1-1-1111-1
χ151111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11111-11-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-11-1-1-111-11-1-1111-1
χ161111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-11111-11-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1111111-1-1-1-1-1111-1-11-111-1-1-11
χ17222222222222222222222222-2-22-2-22222222222-2-20000-2-2-2-2-2-2-2-20000000000000000002222-2-2-2-20000000000000000000000
χ18222222222222222222222222-2-22-2-222222222-2-2220000-2-2-2-2-2-2-2-2000000000000000000-2-2-2-222220000000000000000000000
χ1922222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2022222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+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+5200000000000000
χ2122222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+5200000000000000
χ2222222222−1+52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ2322222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-200001−521+521−521+521−521+521−521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ300−1+52−1−52−1+52−1−521−521+521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000000000
χ2422222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-200001−521+521−521+521−521+521−521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ300−1+52−1−52−1+52−1−521−521+521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000000000
χ2522222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22200001−521+521−521+521−521+521−521+52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3001−521+521−521+52−1+52−1−52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000000000
χ2622222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22200001−521+521−521+521−521+521−521+52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3001−521+521−521+52−1+52−1−52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000000000
χ2722222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ2822222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000000000
χ2922222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+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+521−521−521+521+521−521−5200000000000000
χ3022222222−1−52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ3122222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-200001+521−521+521−521+521−521+521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ400−1−52−1+52−1−52−1+521+521−521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000000000
χ3222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-200001+521−521+521−521+521−521+521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ400−1−52−1+52−1−52−1+521+521−521+521−52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000000000
χ3322222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22200001+521−521+521−521+521−521+521−52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4001+521−521+521−52−1−52−1+52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000000000
χ3422222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22200001+521−521+521−521+521−521+521−52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4001+521−521+521−52−1−52−1+52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000000000
χ35222222-2-222222222222222222-2-22-2-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000000000000000000002-20-22000000
χ36222222-2-222222222222222222-2-22-2-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000000000000-2202-2000000
χ37222222-2-22222222222222222-22-2-22-2-2-2-2-2-2-2-200000000-2-2-2-22222000000000000000000000000000000000022-200-200000000
χ38222222-2-22222222222222222-22-2-22-2-2-2-2-2-2-2-200000000-2-2-2-222220000000000000000000000000000000000-2-2200200000000
χ392222-2-22222-2-2-2-2-2-2-2-22222222-2-2-222222-2-2-2-200000000-2-22222-2-200000000000000000000000000000000002-2200-200000000
χ402222-2-22222-2-2-2-2-2-2-2-22222222-2-2-222222-2-2-2-200000000-2-22222-2-20000000000000000000000000000000000-22-200200000000
χ412222-2-22222-2-2-2-2-2-2-2-2222222-22-22-22222-2-2-2-20000000022-2-2-2-2220000000000000000000000000000000000000220-2-2000000
χ422222-2-22222-2-2-2-2-2-2-2-2222222-22-22-22222-2-2-2-20000000022-2-2-2-2220000000000000000000000000000000000000-2-2022000000
χ432222-2-2-2-222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-222222-2-220000-2-222-2-22200000000000000000022-2-2-2-2220000000000000000000000
χ442222-2-2-2-222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-22222-222-20000-2-222-2-222000000000000000000-2-22222-2-20000000000000000000000
χ452222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52222-2-21−521−521+521+52−1+52−1+52−1−52−1−522-2-2200001−521+52−1+52−1−521−521+52−1+52−1−52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ300−1+52−1−521−521+521−521+52−1+52−1−52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000000000
χ462222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52222-2-21−521−521+521+52−1+52−1+52−1−52−1−522-2-2200001−521+52−1+52−1−521−521+52−1+52−1−52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ300−1+52−1−521−521+521−521+52−1+52−1−52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000000000
χ472222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-222-200001−521+52−1+52−1−521−521+52−1+52−1−52ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3001−521+52−1+52−1−52−1+52−1−521−521+52−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ300000000000000
χ482222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-222-200001−521+52−1+52−1−521−521+52−1+52−1−52−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3001−521+52−1+52−1−52−1+52−1−521−521+52ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ300000000000000
χ492222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-22221−521−521+521+52−1+52−1+52−1−52−1−522-22-222-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ502222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-22221−521−521+521+52−1+52−1+52−1−52−1−522-22-2-2-222−1+52−1−521−521+52−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ512222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-22221−521−521+521+52−1+52−1+52−1−52−1−52-22-2222-2-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ522222-2-2-2-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52−1+52−1−52-2-22221−521−521+521+52−1+52−1+52−1−52−1−52-22-22-2-222−1+52−1−521−521+52−1+52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ532222-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52222-2-21+521+521−521−52−1−52−1−52−1+52−1+522-2-2200001+521−52−1−52−1+521+521−52−1−52−1+52ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ400−1−52−1+521+521−521+521−52−1−52−1+52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000000000
χ542222-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52222-2-21+521+521−521−52−1−52−1−52−1+52−1+522-2-2200001+521−52−1−52−1+521+521−52−1−52−1+52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ400−1−52−1+521+521−521+521−52−1−52−1+52−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ4ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ400000000000000
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χ562222-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52222-2-21+521+521−521−52−1−52−1−52−1+52−1+52-222-200001+521−52−1−52−1+521+521−52−1−52−1+52−ζ2+ζ3−ζ2+ζ3ζ2−ζ3ζ2−ζ3ζ−ζ4ζ−ζ4−ζ+ζ4−ζ+ζ4ζ2−ζ3ζ2−ζ3−ζ2+ζ3−ζ2+ζ3−ζ+ζ4−ζ+ζ4ζ−ζ4ζ−ζ4001+521−52−1−52−1+52−1−52−1+521+521−52ζ2−ζ3−ζ2+ζ3−ζ+ζ4ζ−ζ4−ζ2+ζ3ζ2−ζ3ζ−ζ4−ζ+ζ400000000000000
χ572222-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-22221+521+521−521−52−1−52−1−52−1+52−1+522-22-222-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ582222-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-22221+521+521−521−52−1−52−1−52−1+52−1+522-22-2-2-222−1−52−1+521+521−52−1−52−1+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+52-22−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ592222-2-2-2-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52−1−52−1+52-2-22221+521+521−521−52−1−52−1−52−1+52−1+52-22-2222-2-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
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χ774-44-4004-4−1+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ3−1+5−1−51−51+51−51+500000−1+51−5−1−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300002-22-2000000002ζ4−2ζ42ζ−2ζ2ζ3−2ζ32ζ2−2ζ22ζ4−2ζ42ζ−2ζ2ζ3−2ζ32ζ2−2ζ200000000000000000000000000000000
χ784-44-4004-4−1+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ3−1+5−1−51−51+51−51+500000−1+51−5−1−51+5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000-22-2200000000−2ζ42ζ4−2ζ2ζ−2ζ32ζ3−2ζ22ζ2−2ζ42ζ4−2ζ2ζ−2ζ32ζ3−2ζ22ζ200000000000000000000000000000000
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χ804-44-4004-4−1−5−1+52ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−1−5−1+51+51−51+51−500000−1−51+5−1+51−52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000-22-2200000000−2ζ22ζ2−2ζ32ζ3−2ζ42ζ4−2ζ2ζ−2ζ22ζ2−2ζ32ζ3−2ζ42ζ4−2ζ2ζ00000000000000000000000000000000
χ814-44-4004-4−1−5−1+5−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ4−1−5−1+51+51−51+51−500000−1−51+5−1+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400002-22-2000000002ζ3−2ζ32ζ2−2ζ22ζ−2ζ2ζ4−2ζ42ζ3−2ζ32ζ2−2ζ22ζ−2ζ2ζ4−2ζ400000000000000000000000000000000
χ824-44-4004-4−1−5−1+5−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ4−1−5−1+51+51−51+51−500000−1−51+5−1+51−5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000-22-2200000000−2ζ32ζ3−2ζ22ζ2−2ζ2ζ−2ζ42ζ4−2ζ32ζ3−2ζ22ζ2−2ζ2ζ−2ζ42ζ400000000000000000000000000000000
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χ864-44-400-44−1+5−1−52ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ3−1+5−1−51−51+51−51+5000001−5−1+51+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000-222-200000000−2ζ42ζ4−2ζ2ζ−2ζ32ζ3−2ζ22ζ22ζ4−2ζ42ζ−2ζ2ζ3−2ζ32ζ2−2ζ200000000000000000000000000000000
χ874-44-400-44−1+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ3−1+5−1−51−51+51−51+5000001−5−1+51+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300002-2-22000000002ζ−2ζ2ζ4−2ζ42ζ2−2ζ22ζ3−2ζ3−2ζ2ζ−2ζ42ζ4−2ζ22ζ2−2ζ32ζ300000000000000000000000000000000
χ884-44-400-44−1+5−1−5−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ3−1+5−1−51−51+51−51+5000001−5−1+51+5−1−52ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000-222-200000000−2ζ2ζ−2ζ42ζ4−2ζ22ζ2−2ζ32ζ32ζ−2ζ2ζ4−2ζ42ζ2−2ζ22ζ3−2ζ300000000000000000000000000000000
χ894-44-400-44−1−5−1+52ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−1−5−1+51+51−51+51−5000001+5−1−51−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400002-2-22000000002ζ3−2ζ32ζ2−2ζ22ζ−2ζ2ζ4−2ζ4−2ζ32ζ3−2ζ22ζ2−2ζ2ζ−2ζ42ζ400000000000000000000000000000000
χ904-44-400-44−1−5−1+52ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−1−5−1+51+51−51+51−5000001+5−1−51−5−1+5−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000-222-200000000−2ζ32ζ3−2ζ22ζ2−2ζ2ζ−2ζ42ζ42ζ3−2ζ32ζ2−2ζ22ζ−2ζ2ζ4−2ζ400000000000000000000000000000000
χ914-44-400-44−1−5−1+5−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ4−1−5−1+51+51−51+51−5000001+5−1−51−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400002-2-22000000002ζ2−2ζ22ζ3−2ζ32ζ4−2ζ42ζ−2ζ−2ζ22ζ2−2ζ32ζ3−2ζ42ζ4−2ζ2ζ00000000000000000000000000000000
χ924-44-400-44−1−5−1+5−2ζ2+2ζ32ζ2−2ζ3−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ42ζ−2ζ4−2ζ+2ζ4−1−5−1+51+51−51+51−5000001+5−1−51−5−1+52ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000-222-200000000−2ζ22ζ2−2ζ32ζ3−2ζ42ζ4−2ζ2ζ2ζ2−2ζ22ζ3−2ζ32ζ4−2ζ42ζ−2ζ00000000000000000000000000000000
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χ9688-8-8-8800−2−25−2+252+252+25−2−25−2−252−252−25−2+25−2+252+252−25−2−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-8-8800008800000000-8-8-8-88800000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-880000−2+25−2−254ζ−4ζ4−4ζ+4ζ4−4ζ+4ζ44ζ−4ζ44ζ2−4ζ3−4ζ2+4ζ3−4ζ2+4ζ34ζ2−4ζ32−252+252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-8-880000−2+25−2−25−4ζ+4ζ44ζ−4ζ44ζ−4ζ4−4ζ+4ζ4−4ζ2+4ζ34ζ2−4ζ34ζ2−4ζ3−4ζ2+4ζ32−252+252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-880000−2−25−2+254ζ2−4ζ3−4ζ2+4ζ3−4ζ2+4ζ34ζ2−4ζ3−4ζ+4ζ44ζ−4ζ44ζ−4ζ4−4ζ+4ζ42+252−252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-880000−2−25−2+25−4ζ2+4ζ34ζ2−4ζ34ζ2−4ζ3−4ζ2+4ζ34ζ−4ζ4−4ζ+4ζ4−4ζ+4ζ44ζ−4ζ42+252−252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).