Finite Group Databasebeta

← Group #12015211

Character table — Group #12015211

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size112222222444444444444444444448888888888888888888888888888888816161616161616161616161616161616161620204040404040404080808080
order1222255101044444410101010101020202020202020202444444420202020202020202020202020202020202020202020202088101020202020202040404040404040404422244448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-1
χ611111111111111111111111111111-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111
χ711111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-11-1-1-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-11111-1-1
χ911-1-111111111-1-1-1-1-111-1-11111-1-1-1-11-1ii−i−i1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-111-1-1iiii−i−i−i−i111-1-11-11-1i−ii−i
χ1011-1-111111111-1-1-1-1-111-1-11111-1-1-1-11-1ii−i−i1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−i11-1-111-1-1iiii−i−i−i−i-1-1-111-11-11−ii−ii
χ1111-1-111111111-1-1-1-1-111-1-11111-1-1-1-11-1−i−iii1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-111-1-1−i−i−i−iiiii111-1-11-11-1−ii−ii
χ1211-1-111111111-1-1-1-1-111-1-11111-1-1-1-11-1−i−iii1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii11-1-111-1-1−i−i−i−iiiii-1-1-111-11-11i−ii−i
χ1311-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-11ii−i−i-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111-1-111−i−i−i−iiiii111-11-1-1-11i−i−ii
χ1411-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-11ii−i−i-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii-1-111-1-111−i−i−i−iiiii-1-1-11-1111-1−iii−i
χ1511-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-11−i−iii-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111-1-111iiii−i−i−i−i111-11-1-1-11−iii−i
χ1611-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-11−i−iii-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−i-1-111-1-111iiii−i−i−i−i-1-1-11-1111-1i−i−ii
χ172222222222-2-22-2-222222222222222220000-2-2-2-2-2-2-2-2-2-20000000000000000002222-2-2-2-2000000000000000000000
χ182222222222-2-22-2-222222222222222-2-2000022-2-2-2-2-2-2-2-2000000000000000000-2-2-2-22222000000000000000000000
χ19222222222-22-2-22-2222222-2-2-2-2-2-2-2-20000000022-2-222-2-200000000000000000000000000000000000000220-2-20000
χ20222222222-22-2-22-2222222-2-2-2-2-2-2-2-20000000022-2-222-2-200000000000000000000000000000000000000-2-20220000
χ21222222222-2-22-2-22222222-2-2-2-2-2-2-2-200000000-2-222-2-222000000000000000000000000000000000022-2-2002000000
χ22222222222-2-22-2-22222222-2-2-2-2-2-2-2-200000000-2-222-2-2220000000000000000000000000000000000-2-22200-2000000
χ2322222−1+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+52−1−52−1−5222222222−1+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+52−1−52−1−520000000000000
χ2422222−1+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+52−1−52−1−5222-2-2-2-222−1+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+520000000000000
χ2522222−1+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+52−1−52−1−52-2-22222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+520000000000000
χ2622222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1−520000000000000
χ2722222−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52220000-2-21−521+521−521+521−521+521−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800−1+52−1−52−1+52−1−521−521+521−521+52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000
χ2822222−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52220000-2-21−521+521−521+521−521+521−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−1+52−1−52−1+52−1−521−521+521−521+52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000
χ2922222−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-20000221−521+521−521+521−521+521−521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18001−521+521−521+52−1+52−1−52−1+52−1−52−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ180000000000000
χ3022222−1+52−1−52−1+52−1−522-2-22-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-20000221−521+521−521+521−521+521−521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18001−521+521−521+52−1+52−1−52−1+52−1−52ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ180000000000000
χ3122222−1−52−1+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+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+520000000000000
χ3222222−1−52−1+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+5222-2-2-2-222−1−52−1+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+521−521−520000000000000
χ3322222−1−52−1+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+52-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−520000000000000
χ3422222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+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+520000000000000
χ3522222−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52220000-2-21+521−521+521−521+521−521+521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−1−52−1+52−1−52−1+521+521−521+521−52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000
χ3622222−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52220000-2-21+521−521+521−521+521−521+521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−1−52−1+52−1−52−1+521+521−521+521−52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000
χ3722222−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-20000221+521−521+521−521+521−521+521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14001+521−521+521−52−1−52−1+52−1−52−1+52ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ140000000000000
χ3822222−1−52−1+52−1−52−1+522-2-22-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-20000221+521−521+521−521+521−521+521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14001+521−521+521−52−1−52−1+52−1−52−1+52−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ140000000000000
χ3922-2-2222222-2-2-222-2-222-2-22222-2-2-2-22-20000-22-2-2-2-2222200000000000000000022-2-2-2-222000000000000000000000
χ4022-2-2222222-2-2-222-2-222-2-22222-2-2-2-2-2200002-2-2-2-2-22222000000000000000000-2-22222-2-2000000000000000000000
χ4122-2-222222-22-22-22-2-222-2-2-2-2-2-222220000000022-2-2-2-222000000000000000000000000000000000000002-202-20000
χ4222-2-222222-22-22-22-2-222-2-2-2-2-2-222220000000022-2-2-2-22200000000000000000000000000000000000000-220-220000
χ4322-2-222222-2-2222-2-2-222-2-2-2-2-2-2222200000000-2-22222-2-2000000000000000000000000000000000022-2200-2000000
χ4422-2-222222-2-2222-2-2-222-2-2-2-2-2-2222200000000-2-22222-2-20000000000000000000000000000000000-2-22-2002000000
χ4522-2-22−1+52−1−52−1+52−1−52222-2-2-21−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-22i2i−2i−2i2-2−1+52−1−52−1+52−1−521−521+521−521+52−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ72i−2i−1+52−1−521−521+52−1+52−1−521−521+52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000000000
χ4622-2-22−1+52−1−52−1+52−1−52222-2-2-21−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-2−2i−2i2i2i2-2−1+52−1−52−1+52−1−521−521+521−521+52ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−2i2i−1+52−1−521−521+52−1+52−1−521−521+52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000000000
χ4722-2-22−1+52−1−52−1+52−1−52222-2-2-21−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-222i2i−2i−2i-22−1+52−1−52−1+52−1−521−521+521−521+52−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−2i2i1−521+52−1+52−1−521−521+52−1+52−1−52ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ70000000000000
χ4822-2-22−1+52−1−52−1+52−1−52222-2-2-21−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-22−2i−2i2i2i-22−1+52−1−52−1+52−1−521−521+521−521+52ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ72i−2i1−521+52−1+52−1−521−521+52−1+52−1−52−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ70000000000000
χ4922-2-22−1+52−1−52−1+52−1−522-2-2-2221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-20000-221−521+521−521+52−1+52−1−52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−1+52−1−521−521+521−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000000000
χ5022-2-22−1+52−1−52−1+52−1−522-2-2-2221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-20000-221−521+521−521+52−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700−1+52−1−521−521+521−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000000000000
χ5122-2-22−1+52−1−52−1+52−1−522-2-2-2221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-2200002-21−521+521−521+52−1+52−1−52−1+52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7001−521+52−1+52−1−52−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ70000000000000
χ5222-2-22−1+52−1−52−1+52−1−522-2-2-2221−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-2200002-21−521+521−521+52−1+52−1−52−1+52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7001−521+52−1+52−1−52−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ70000000000000
χ5322-2-22−1−52−1+52−1−52−1+52222-2-2-21+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-22i2i−2i−2i2-2−1−52−1+52−1−52−1+521+521−521+521−52−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ192i−2i−1−52−1+521+521−52−1−52−1+521+521−52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000000000
χ5422-2-22−1−52−1+52−1−52−1+52222-2-2-21+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-2−2i−2i2i2i2-2−1−52−1+52−1−52−1+521+521−521+521−52ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−2i2i−1−52−1+521+521−52−1−52−1+521+521−52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000000000
χ5522-2-22−1−52−1+52−1−52−1+52222-2-2-21+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-222i2i−2i−2i-22−1−52−1+52−1−52−1+521+521−521+521−52−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−2i2i1+521−52−1−52−1+521+521−52−1−52−1+52ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ190000000000000
χ5622-2-22−1−52−1+52−1−52−1+52222-2-2-21+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-22−2i−2i2i2i-22−1−52−1+52−1−52−1+521+521−521+521−52ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ192i−2i1+521−52−1−52−1+521+521−52−1−52−1+52−ζ3−ζ7−ζ3−ζ7−ζ11−ζ19−ζ11−ζ19ζ3+ζ7ζ3+ζ7ζ11+ζ19ζ11+ζ190000000000000
χ5722-2-22−1−52−1+52−1−52−1+522-2-2-2221+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-20000-221+521−521+521−52−1−52−1+52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ1900−1−52−1+521+521−521+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ190000000000000
χ5822-2-22−1−52−1+52−1−52−1+522-2-2-2221+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-20000-221+521−521+521−52−1−52−1+52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ1900−1−52−1+521+521−521+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ190000000000000
χ5922-2-22−1−52−1+52−1−52−1+522-2-2-2221+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-2200002-21+521−521+521−52−1−52−1+52−1−52−1+52ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19001+521−52−1−52−1+52−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ190000000000000
χ6022-2-22−1−52−1+52−1−52−1+522-2-2-2221+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-2200002-21+521−521+521−52−1−52−1+52−1−52−1+52−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19001+521−52−1−52−1+52−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ190000000000000
χ6144444−1+5−1−5−1+5−1−5-44-4-44-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+500000000−1+5−1−51−51+5−1+5−1−51−51+500000000000000000000000000000000000000000000000
χ6244444−1+5−1−5−1+5−1−5-4-44-4-44−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5000000001−51+5−1+5−1−51−51+5−1+5−1−500000000000000000000000000000000000000000000000
χ6344444−1−5−1+5−1−5−1+5-44-4-44-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−500000000−1−5−1+51+51−5−1−5−1+51+51−500000000000000000000000000000000000000000000000
χ6444444−1−5−1+5−1−5−1+5-4-44-4-44−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5000000001+51−5−1−5−1+51+51−5−1−5−1+500000000000000000000000000000000000000000000000
χ65444-4-4444400000044-4-4-4-400000000002i−2i2i−2i00000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000
χ66444-4-4444400000044-4-4-4-40000000000−2i2i−2i2i0000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000
χ67444-4-4−1+5−1−5−1+5−1−5000000−1+5−1−51−51+51−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18002i−2i2i−2i0000000000−2ζ112ζ11−2ζ192ζ19−2ζ32ζ3−2ζ72ζ7−2ζ112ζ11−2ζ192ζ19−2ζ32ζ3−2ζ72ζ70000000000000000000000000000000
χ68444-4-4−1+5−1−5−1+5−1−5000000−1+5−1−51−51+51−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800−2i2i−2i2i00000000002ζ11−2ζ112ζ19−2ζ192ζ3−2ζ32ζ7−2ζ72ζ11−2ζ112ζ19−2ζ192ζ3−2ζ32ζ7−2ζ70000000000000000000000000000000
χ69444-4-4−1+5−1−5−1+5−1−5000000−1+5−1−51−51+51−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18002i−2i2i−2i0000000000−2ζ192ζ19−2ζ112ζ11−2ζ72ζ7−2ζ32ζ3−2ζ192ζ19−2ζ112ζ11−2ζ72ζ7−2ζ32ζ30000000000000000000000000000000
χ70444-4-4−1+5−1−5−1+5−1−5000000−1+5−1−51−51+51−51+5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800−2i2i−2i2i00000000002ζ19−2ζ192ζ11−2ζ112ζ7−2ζ72ζ3−2ζ32ζ19−2ζ192ζ11−2ζ112ζ7−2ζ72ζ3−2ζ30000000000000000000000000000000
χ71444-4-4−1−5−1+5−1−5−1+5000000−1−5−1+51+51−51+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14002i−2i2i−2i0000000000−2ζ32ζ3−2ζ72ζ7−2ζ192ζ19−2ζ112ζ11−2ζ32ζ3−2ζ72ζ7−2ζ192ζ19−2ζ112ζ110000000000000000000000000000000
χ72444-4-4−1−5−1+5−1−5−1+5000000−1−5−1+51+51−51+51−5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400−2i2i−2i2i00000000002ζ3−2ζ32ζ7−2ζ72ζ19−2ζ192ζ11−2ζ112ζ3−2ζ32ζ7−2ζ72ζ19−2ζ192ζ11−2ζ110000000000000000000000000000000
χ73444-4-4−1−5−1+5−1−5−1+5000000−1−5−1+51+51−51+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14002i−2i2i−2i0000000000−2ζ72ζ7−2ζ32ζ3−2ζ112ζ11−2ζ192ζ19−2ζ72ζ7−2ζ32ζ3−2ζ112ζ11−2ζ192ζ190000000000000000000000000000000
χ74444-4-4−1−5−1+5−1−5−1+5000000−1−5−1+51+51−51+51−52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400−2i2i−2i2i00000000002ζ7−2ζ72ζ3−2ζ32ζ11−2ζ112ζ19−2ζ192ζ7−2ζ72ζ3−2ζ32ζ11−2ζ112ζ19−2ζ190000000000000000000000000000000
χ7544-44-44444000000-4-4-4-44400000000002-2-2200000000002-22-22-22-2-22-22-22-220000000000000000000000000000000
χ7644-44-44444000000-4-4-4-4440000000000-222-20000000000-22-22-22-222-22-22-22-20000000000000000000000000000000
χ7744-44-4−1+5−1−5−1+5−1−50000001−51+51−51+5−1+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18002-2-220000000000−2ζ62ζ6−2ζ142ζ14−2ζ182ζ18−2ζ22ζ22ζ6−2ζ62ζ14−2ζ142ζ18−2ζ182ζ2−2ζ20000000000000000000000000000000
χ7844-44-4−1+5−1−5−1+5−1−50000001−51+51−51+5−1+5−1−52ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800-222-200000000002ζ6−2ζ62ζ14−2ζ142ζ18−2ζ182ζ2−2ζ2−2ζ62ζ6−2ζ142ζ14−2ζ182ζ18−2ζ22ζ20000000000000000000000000000000
χ7944-44-4−1+5−1−5−1+5−1−50000001−51+51−51+5−1+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18002-2-220000000000−2ζ142ζ14−2ζ62ζ6−2ζ22ζ2−2ζ182ζ182ζ14−2ζ142ζ6−2ζ62ζ2−2ζ22ζ18−2ζ180000000000000000000000000000000
χ8044-44-4−1+5−1−5−1+5−1−50000001−51+51−51+5−1+5−1−5−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800-222-200000000002ζ14−2ζ142ζ6−2ζ62ζ2−2ζ22ζ18−2ζ18−2ζ142ζ14−2ζ62ζ6−2ζ22ζ2−2ζ182ζ180000000000000000000000000000000
χ8144-44-4−1−5−1+5−1−5−1+50000001+51−51+51−5−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14002-2-220000000000−2ζ182ζ18−2ζ22ζ2−2ζ142ζ14−2ζ62ζ62ζ18−2ζ182ζ2−2ζ22ζ14−2ζ142ζ6−2ζ60000000000000000000000000000000
χ8244-44-4−1−5−1+5−1−5−1+50000001+51−51+51−5−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400-222-200000000002ζ18−2ζ182ζ2−2ζ22ζ14−2ζ142ζ6−2ζ6−2ζ182ζ18−2ζ22ζ2−2ζ142ζ14−2ζ62ζ60000000000000000000000000000000
χ8344-44-4−1−5−1+5−1−5−1+50000001+51−51+51−5−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14002-2-220000000000−2ζ22ζ2−2ζ182ζ18−2ζ62ζ6−2ζ142ζ142ζ2−2ζ22ζ18−2ζ182ζ6−2ζ62ζ14−2ζ140000000000000000000000000000000
χ8444-44-4−1−5−1+5−1−5−1+50000001+51−51+51−5−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400-222-200000000002ζ2−2ζ22ζ18−2ζ182ζ6−2ζ62ζ14−2ζ14−2ζ22ζ2−2ζ182ζ18−2ζ62ζ6−2ζ142ζ140000000000000000000000000000000
χ8544-4-44−1+5−1−5−1+5−1−5-44-44-441−51+5−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−500000000−1+5−1−51−51+51−51+5−1+5−1−500000000000000000000000000000000000000000000000
χ8644-4-44−1+5−1−5−1+5−1−5-4-4444-41−51+5−1+5−1−51−51+51−51−51+51+5−1+5−1+5−1−5−1−5000000001−51+5−1+5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000
χ8744-4-44−1−5−1+5−1−5−1+5-44-44-441+51−5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+500000000−1−5−1+51+51−51+51−5−1−5−1+500000000000000000000000000000000000000000000000
χ8844-4-44−1−5−1+5−1−5−1+5-4-4444-41+51−5−1−5−1+51+51−51+51+51−51−5−1−5−1−5−1+5−1+5000000001+51−5−1−5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000
χ898-800088-8-800000000000000000000000000000000000000000000000000000000000000000000004i−4i00000000000
χ908-800088-8-80000000000000000000000000000000000000000000000000000000000000000000000−4i4i00000000000
χ9116-16000−4+45−4−454−454+4500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9216-16000−4−45−4+454+454−4500000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.