Finite Group Databasebeta

← Group #14302810

Character table — Group #14302810

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11222222222222222222244444444444444444444444444444444448888888888888888888888888888888888888812121212202020202424242424242424242424242424242424244040404040404040404060606060120120
order122223444455666101010101010661010101012121212151520202020202020203030303030303030303030303030441212121220202020202020206060606060606060606060606060606060606060606060608888224444202020202020202040404040404040404466121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1
χ911-11-1111-1-11111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i11-1-1i−iiiii−i−i−i−iiiii−i−i−i−i1-11111-1-1-1-1ii−i−ii−i
χ1011-11-1111-1-11111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i-1-111i−iiiii−i−i−i−iiiii−i−i−i−i-11-1-1-1-11111−i−iii−ii
χ1111-11-1111-1-11111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii11-1-1−ii−i−i−i−iiiii−i−i−i−iiiii1-11111-1-1-1-1−i−iii−ii
χ1211-11-1111-1-11111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii-1-111−ii−i−i−i−iiiii−i−i−i−iiiii-11-1-1-1-11111ii−i−ii−i
χ1311-11-1111-1-11111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i11-1-1−ii−i−i−i−iiiiiiiii−i−i−i−i-1111-1-111-1-1ii−i−i−ii
χ1411-11-1111-1-11111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-111−ii−i−i−i−iiiiiiiii−i−i−i−i1-1-1-111-1-111−i−iiii−i
χ1511-11-1111-1-11111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii11-1-1i−iiiii−i−i−i−i−i−i−i−iiiii-1111-1-111-1-1−i−iiii−i
χ1611-11-1111-1-11111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-111i−iiiii−i−i−i−i−i−i−i−iiiii1-1-1-111-1-111ii−i−i−ii
χ172222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ182222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-20000-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ192222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+52-2-2-2-2-2-21+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+521−521−521−521−521+521+521+521+521−521−521−521−5222220000-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ202222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+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+52-2-2-2-2-2-21+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+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2-2-2000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ212222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-20000-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ232222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52-2-2-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+5222220000-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ242222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−5222−1+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+52−1−52-2-2-2-2-2-21−521−521+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+521−521−521−521−521+521+521+521+52-2-2-2-2000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ25222222-2-2-2-222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222222222222200000000000000-2-2-2-2-2-2-2-2000000000000000000002-22-2000000000000000000002-200002-2000000
χ26222222-2-2-2-222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222222222222200000000000000-2-2-2-2-2-2-2-200000000000000000000-22-2200000000000000000000-220000-22000000
χ2722222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000000000000022-1-1-1-1-1-1-1-1000000
χ2822222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000000000-2-211111111000000
χ2922222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100002222000000000000000000-2-2-1-11111-1-1000000
χ3022222-1222222-1-1-1222222-1-12222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000-2-2-2-20000000000000000002211-1-1-1-111000000
χ3122222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002-22-200000000000000000000-11−i3i3−i3i3-11000000
χ3222222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i30000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000-22-22000000000000000000001-1i3−i3i3−i31-1000000
χ3322222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002-22-200000000000000000000-11i3−i3i3−i3-11000000
χ3422222-1-2-2-2-222-1-1-1222222-1-122221111-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i30000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000-22-22000000000000000000001-1−i3i3−i3i31-1000000
χ35222-2-222-22-222-2-222222222-2-2-2-2-22-22-2222-22-222-2-2-2-2-2-222-2-222-2-222000000000000002-22-22-22-200000000000000000000000000000000000000000000000000002i−2i2i−2i00
χ36222-2-222-22-222-2-222222222-2-2-2-2-22-22-2222-22-222-2-2-2-2-2-222-2-222-2-222000000000000002-22-22-22-20000000000000000000000000000000000000000000000000000−2i2i−2i2i00
χ37222-2-22-22-2222-2-222222222-2-2-2-2-2-22-2222-22-22-2-222-2-2-2-222-2-222-2-22200000000000000-22-22-22-2200000000000000002-22-2000000000000002-22-22-22-20000000000000000
χ38222-2-22-22-2222-2-222222222-2-2-2-2-2-22-2222-22-22-2-222-2-2-2-222-2-222-2-22200000000000000-22-22-22-220000000000000000-22-2200000000000000-22-22-22-220000000000000000
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χ10744-44-4-2-4-444−1+5−1−5-2-2-2−1+5−1−51−51−51+51+522−1+5−1−51−51+522-2-21−521+521−51−51+51+5−1+5−1−5−1+5−1−51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+5200−2i32i32i3−2i300000000−1+52−1+52−1−52−1−521−521−521+521+52ζ2−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+ζ46−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−ζ46000000000000000000000000000000000000000000
χ10844-44-4-2-4-444−1+5−1−5-2-2-2−1+5−1−51−51−51+51+522−1+5−1−51−51+522-2-21−521+521−51−51+51+5−1+5−1−5−1+5−1−51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52002i3−2i3−2i32i300000000−1+52−1+52−1−52−1−521−521−521+521+52−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−ζ46ζ2−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+ζ46000000000000000000000000000000000000000000
χ10944-4-4444-4-44−1−5−1+5-4-44−1−5−1+51+51+51−51−5-441+51−5−1−5−1+54-4-44−1−5−1+5−1−51+5−1+51−51+51−5−1−5−1+51+51+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+500000000000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000
χ11044-4-4444-4-44−1+5−1−5-4-44−1+5−1−51−51−51+51+5-441−51+5−1+5−1−54-4-44−1+5−1−5−1+51−5−1−51+51−51+5−1+5−1−51−51−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−500000000000000−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000
χ11144-4-44-24-4-444422-244-4-4-4-42-2-4-444-222-2-2-24-44-4-4-444222222-2-222-2-2-2-200000000000000-22-222-22-20000000000000000000000000000000000000000000000000000000000
χ11244-4-44-24-4-44−1−5−1+522-2−1−5−1+51+51+51−51−52-21+51−5−1−5−1+5-222-21+521−52−1−51+5−1+51−51+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52000000000000001+52−1−521−52−1+52−1−521+52−1+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+ζ58000000000000000000000000000000000000000000
χ11344-4-44-24-4-44−1−5−1+522-2−1−5−1+51+51+51−51−52-21+51−5−1−5−1+5-222-21+521−52−1−51+5−1+51−51+51−5−1−5−1+5−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52000000000000001+52−1−521−52−1+52−1−521+52−1+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−ζ58000000000000000000000000000000000000000000
χ11444-4-44-24-4-44−1+5−1−522-2−1+5−1−51−51−51+51+52-21−51+5−1+5−1−5-222-21−521+52−1+51−5−1−51+51−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+52000000000000001−52−1+521+52−1−52−1+521−52−1−521+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+ζ46000000000000000000000000000000000000000000
χ11544-4-44-24-4-44−1+5−1−522-2−1+5−1−51−51−51+51+52-21−51+5−1+5−1−5-222-21−521+52−1+51−5−1−51+51−51+5−1+5−1−5−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+52000000000000001−52−1+521+52−1−52−1+521−52−1−521+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−ζ46000000000000000000000000000000000000000000
χ11644-4-44-2-444-44422-244-4-4-4-42-2-4-4442-2-22-2-2-44-4444-4-4222222-2-222-2-2-2-2000000000000002-22-2-22-220000000000000000000000000000000000000000000000000000000000
χ11744-4-44-2-444-4−1−5−1+522-2−1−5−1+51+51+51−51−52-21+51−5−1−5−1+52-2-221+521−521+5−1−51−5−1+5−1−5−1+51+51−5−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−52000000−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−1−521+52−1+521−521+52−1−521−52−1+52ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−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−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58000000000000000000000000000000000000000000
χ11844-4-44-2-444-4−1−5−1+522-2−1−5−1+51+51+51−51−52-21+51−5−1−5−1+52-2-221+521−521+5−1−51−5−1+5−1−5−1+51+51−5−1−52−1−52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521−520000002ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ58−1−521+52−1+521−521+52−1−521−52−1+52−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+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−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58000000000000000000000000000000000000000000
χ11944-4-44-2-444-4−1+5−1−522-2−1+5−1−51−51−51+51+52-21−51+5−1+5−1−52-2-221−521+521−5−1+51+5−1−5−1+5−1−51−51+5−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+520000002ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−1+521−52−1−521+521−52−1+521+52−1−52−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−ζ46ζ2+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+ζ46000000000000000000000000000000000000000000
χ12044-4-44-2-444-4−1+5−1−522-2−1+5−1−51−51−51+51+52-21−51+5−1+5−1−52-2-221−521+521−5−1+51+5−1−5−1+5−1−51−51+5−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521+52000000−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+521−52−1−521+521−52−1+521+52−1−52ζ2+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−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−ζ46000000000000000000000000000000000000000000
χ1218-8000800008800-8-8-8000000000000008800000000000000000000-8-800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-800080000−2−25−2+2500-82+252−25−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ464ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ580000000000−2−25−2+25000000000000−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ46004ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ58002+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-800080000−2−25−2+2500-82+252−254ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ580000000000−2−25−2+250000000000004ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ4600−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58002+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-800080000−2+25−2−2500-82−252+254ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ460000000000−2+25−2−250000000000004ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ58004ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46002−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-800080000−2+25−2−2500-82−252+25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ460000000000−2+25−2−25000000000000−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ5800−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ46002−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8000-4000088−4i34i34-8-800000000000000-4-400000000−4i34i3−4i34i3000000004400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8000-40000884i3−4i34-8-800000000000000-4-4000000004i3−4i34i3−4i3000000004400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8000-40000−2−25−2+25−4i34i342+252−25−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ464ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ5800000000001+51−5000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8000-40000−2−25−2+25−4i34i342+252−254ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ5800000000001+51−5000000002ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8000-40000−2−25−2+254i3−4i342+252−25−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ464ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ5800000000001+51−500000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ582ζ14−2ζ26+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+2ζ38−2ζ58−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8000-40000−2−25−2+254i3−4i342+252−254ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ46−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ5800000000001+51−500000000−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14+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+2ζ58−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8000-40000−2+25−2−25−4i34i342−252+254ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ4600000000001−51+5000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1338-8000-40000−2+25−2−25−4i34i342−252+25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ4600000000001−51+5000000002ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-8000-40000−2+25−2−254i3−4i342−252+254ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ4600000000001−51+500000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8000-40000−2+25−2−254i3−4i342−252+25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ4600000000001−51+500000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ2+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+2ζ46−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000

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