Finite Group Databasebeta

← Group #72221510

Character table — Group #72221510

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1122244444455888888101010202020202020202020202244488888810101616161616162020204040404040404040404022444888888101016161616161620202040404040404040404040551010102020202020202525404040404040505050100100100100100100100100100100
order122442251010102210101010202024422444488885101020201010510101010101010101020201020201010202020204040404051010202010105101010101010101010202010202010102020202040404040222442210101010221010101020202442244448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i11111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i11111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i11111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i
χ411111111111-1-1111111-1-1-1-1-1−i−iii−i−iii11111111111-1-1111111-1-1-1-1-1−i−iii−i−iii11111111111-1-1111111-1-1-1-1-1−i−iii−i−iii11111111111-1-1111111-1-1-1-1-1−i−iii−i−iii
χ511111-1-1111111-1-1-1-111111-1-11111-1-1-1-111111-1-1111111-1-1-1-111111-1-11111-1-1-1-111111-1-1111111-1-1-1-111111-1-11111-1-1-1-111111-1-1111111-1-1-1-111111-1-11111-1-1-1-1
χ611111-1-1111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-111111-1-1-1-1-1-11111
χ711111-1-11111-1-1-1-1-1-111-1-1-111ii−i−i−i−iii11111-1-11111-1-1-1-1-1-111-1-1-111ii−i−i−i−iii11111-1-11111-1-1-1-1-1-111-1-1-111ii−i−i−i−iii11111-1-11111-1-1-1-1-1-111-1-1-111ii−i−i−i−iii
χ811111-1-11111-1-1-1-1-1-111-1-1-111−i−iiiii−i−i11111-1-11111-1-1-1-1-1-111-1-1-111−i−iiiii−i−i11111-1-11111-1-1-1-1-1-111-1-1-111−i−iiiii−i−i11111-1-11111-1-1-1-1-1-111-1-1-111−i−iiiii−i−i
χ911-11-11-11-1-111111-1-11-1-1-111-11-11-11-11-111-11-11-11-1-111111-1-11-1-1-111-11-11-11-11-111-11-11-11-1-111111-1-11-1-1-111-11-11-11-11-111-11-11-11-1-111111-1-11-1-1-111-11-11-11-11-1
χ1011-11-11-11-1-111111-1-11-1-1-111-1-11-11-11-1111-11-11-11-1-111111-1-11-1-1-111-1-11-11-11-1111-11-11-11-1-111111-1-11-1-1-111-1-11-11-11-1111-11-11-11-1-111111-1-11-1-1-111-1-11-11-11-11
χ1111-11-11-11-1-11-1-111-1-11-111-1-11i−i−iii−i−ii11-11-11-11-1-11-1-111-1-11-111-1-11i−i−iii−i−ii11-11-11-11-1-11-1-111-1-11-111-1-11i−i−iii−i−ii11-11-11-11-1-11-1-111-1-11-111-1-11i−i−iii−i−ii
χ1211-11-11-11-1-11-1-111-1-11-111-1-11−iii−i−iii−i11-11-11-11-1-11-1-111-1-11-111-1-11−iii−i−iii−i11-11-11-11-1-11-1-111-1-11-111-1-11−iii−i−iii−i11-11-11-11-1-11-1-111-1-11-111-1-11−iii−i−iii−i
χ1311-11-1-111-1-1111-1-1111-1-1-11-111-11-1-11-1111-11-1-111-1-1111-1-1111-1-1-11-111-11-1-11-1111-11-1-111-1-1111-1-1111-1-1-11-111-11-1-11-1111-11-1-111-1-1111-1-1111-1-1-11-111-11-1-11-11
χ1411-11-1-111-1-1111-1-1111-1-1-11-11-11-111-11-111-11-1-111-1-1111-1-1111-1-1-11-11-11-111-11-111-11-1-111-1-1111-1-1111-1-1-11-11-11-111-11-111-11-1-111-1-1111-1-1111-1-1-11-11-11-111-11-1
χ1511-11-1-111-1-11-1-1-1-1111-111-11-1i−i−ii−iii−i11-11-1-111-1-11-1-1-1-1111-111-11-1i−i−ii−iii−i11-11-1-111-1-11-1-1-1-1111-111-11-1i−i−ii−iii−i11-11-1-111-1-11-1-1-1-1111-111-11-1i−i−ii−iii−i
χ1611-11-1-111-1-11-1-1-1-1111-111-11-1−iii−ii−i−ii11-11-1-111-1-11-1-1-1-1111-111-11-1−iii−ii−i−ii11-11-1-111-1-11-1-1-1-1111-111-11-1−iii−ii−i−ii11-11-1-111-1-11-1-1-1-1111-111-11-1−iii−ii−i−ii
χ17222-2-2002222220000-2-22-2-20000000000222-2-2002222220000-2-22-2-20000000000222-2-2002222220000-2-22-2-20000000000222-2-2002222220000-2-22-2-20000000000
χ18222-2-2002222-2-20000-2-2-2220000000000222-2-2002222-2-20000-2-2-2220000000000222-2-2002222-2-20000-2-2-2220000000000222-2-2002222-2-20000-2-2-2220000000000
χ1922-2-22002-2-22220000-22-22-2000000000022-2-22002-2-22220000-22-22-2000000000022-2-22002-2-22220000-22-22-2000000000022-2-22002-2-22220000-22-22-20000000000
χ2022-2-22002-2-22-2-20000-222-22000000000022-2-22002-2-22-2-20000-222-22000000000022-2-22002-2-22-2-20000-222-22000000000022-2-22002-2-22-2-20000-222-220000000000
χ214444444-1-1-1-100-1-1-1-1-1-100000000000004444444-1-1-1-100-1-1-1-1-1-100000000000004444444-1-1-1-100-1-1-1-1-1-100000000000004444444-1-1-1-100-1-1-1-1-1-10000000000000
χ2244444-4-4-1-1-1-1001111-1-1000000000000044444-4-4-1-1-1-1001111-1-1000000000000044444-4-4-1-1-1-1001111-1-1000000000000044444-4-4-1-1-1-1001111-1-10000000000000
χ23444-4-400-1-1-1-1005−55−5110000000000000444-4-400-1-1-1-1005−55−5110000000000000444-4-400-1-1-1-1005−55−5110000000000000444-4-400-1-1-1-1005−55−5110000000000000
χ24444-4-400-1-1-1-100−55−55110000000000000444-4-400-1-1-1-100−55−55110000000000000444-4-400-1-1-1-100−55−55110000000000000444-4-400-1-1-1-100−55−55110000000000000
χ2544-44-44-4-111-100-1-111-11000000000000044-44-44-4-111-100-1-111-11000000000000044-44-44-4-111-100-1-111-11000000000000044-44-44-4-111-100-1-111-110000000000000
χ2644-44-4-44-111-10011-1-1-11000000000000044-44-4-44-111-10011-1-1-11000000000000044-44-4-44-111-10011-1-1-11000000000000044-44-4-44-111-10011-1-1-110000000000000
χ2744-4-4400-111-1005−5−551-1000000000000044-4-4400-111-1005−5−551-1000000000000044-4-4400-111-1005−5−551-1000000000000044-4-4400-111-1005−5−551-10000000000000
χ2844-4-4400-111-100−555−51-1000000000000044-4-4400-111-100−555−51-1000000000000044-4-4400-111-100−555−51-1000000000000044-4-4400-111-100−555−51-10000000000000
χ294-400000400-44-400000000000000000004-400000400-44-400000000000000000004-400000400-44-400000000000000000004-400000400-44-40000000000000000000
χ304-400000400-4-4400000000000000000004-400000400-4-4400000000000000000004-400000400-4-4400000000000000000004-400000400-4-440000000000000000000
χ318-800000-225−2520000000000000000000008-800000-225−2520000000000000000000008-800000-225−2520000000000000000000008-800000-225−252000000000000000000000
χ328-800000-2−252520000000000000000000008-800000-2−252520000000000000000000008-800000-2−252520000000000000000000008-800000-2−25252000000000000000000000
χ33111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3511111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i11111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i11111111111-1-1111111-1-1-1-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111−i−iii−i−iii
χ3611111111111-1-1111111-1-1-1-1-1−i−iii−i−iii11111111111-1-1111111-1-1-1-1-1−i−iii−i−iii11111111111-1-1111111-1-1-1-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111ii−i−iii−i−i
χ3711111-1-1111111-1-1-1-111111-1-11111-1-1-1-111111-1-1111111-1-1-1-111111-1-11111-1-1-1-111111-1-1111111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111
χ3811111-1-1111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1
χ3911111-1-11111-1-1-1-1-1-111-1-1-111ii−i−i−i−iii11111-1-11111-1-1-1-1-1-111-1-1-111ii−i−i−i−iii11111-1-11111-1-1-1-1-1-111-1-1-111ii−i−i−i−iii-1-1-1-1-111-1-1-1-1111111-1-1111-1-1−i−iiiii−i−i
χ4011111-1-11111-1-1-1-1-1-111-1-1-111−i−iiiii−i−i11111-1-11111-1-1-1-1-1-111-1-1-111−i−iiiii−i−i11111-1-11111-1-1-1-1-1-111-1-1-111−i−iiiii−i−i-1-1-1-1-111-1-1-1-1111111-1-1111-1-1ii−i−i−i−iii
χ4111-11-11-11-1-111111-1-11-1-1-111-11-11-11-11-111-11-11-11-1-111111-1-11-1-1-111-11-11-11-11-111-11-11-11-1-111111-1-11-1-1-111-11-11-11-11-1-1-11-11-11-111-1-1-1-1-111-1111-1-11-11-11-11-11
χ4211-11-11-11-1-111111-1-11-1-1-111-1-11-11-11-1111-11-11-11-1-111111-1-11-1-1-111-1-11-11-11-1111-11-11-11-1-111111-1-11-1-1-111-1-11-11-11-11-1-11-11-11-111-1-1-1-1-111-1111-1-111-11-11-11-1
χ4311-11-11-11-1-11-1-111-1-11-111-1-11i−i−iii−i−ii11-11-11-11-1-11-1-111-1-11-111-1-11i−i−iii−i−ii11-11-11-11-1-11-1-111-1-11-111-1-11i−i−iii−i−ii-1-11-11-11-111-111-1-111-11-1-111-1−iii−i−iii−i
χ4411-11-11-11-1-11-1-111-1-11-111-1-11−iii−i−iii−i11-11-11-11-1-11-1-111-1-11-111-1-11−iii−i−iii−i11-11-11-11-1-11-1-111-1-11-111-1-11−iii−i−iii−i-1-11-11-11-111-111-1-111-11-1-111-1i−i−iii−i−ii
χ4511-11-1-111-1-1111-1-1111-1-1-11-111-11-1-11-1111-11-1-111-1-1111-1-1111-1-1-11-111-11-1-11-1111-11-1-111-1-1111-1-1111-1-1-11-111-11-1-11-11-1-11-111-1-111-1-1-111-1-1-1111-11-1-11-111-11-1
χ4611-11-1-111-1-1111-1-1111-1-1-11-11-11-111-11-111-11-1-111-1-1111-1-1111-1-1-11-11-11-111-11-111-11-1-111-1-1111-1-1111-1-1-11-11-11-111-11-1-1-11-111-1-111-1-1-111-1-1-1111-11-11-11-1-11-11
χ4711-11-1-111-1-11-1-1-1-1111-111-11-1i−i−ii−iii−i11-11-1-111-1-11-1-1-1-1111-111-11-1i−i−ii−iii−i11-11-1-111-1-11-1-1-1-1111-111-11-1i−i−ii−iii−i-1-11-111-1-111-11111-1-1-11-1-11-11−iii−ii−i−ii
χ4811-11-1-111-1-11-1-1-1-1111-111-11-1−iii−ii−i−ii11-11-1-111-1-11-1-1-1-1111-111-11-1−iii−ii−i−ii11-11-1-111-1-11-1-1-1-1111-111-11-1−iii−ii−i−ii-1-11-111-1-111-11111-1-1-11-1-11-11i−i−ii−iii−i
χ49222-2-2002222220000-2-22-2-20000000000222-2-2002222220000-2-22-2-20000000000222-2-2002222220000-2-22-2-20000000000-2-2-22200-2-2-2-2-2-2000022-2220000000000
χ50222-2-2002222-2-20000-2-2-2220000000000222-2-2002222-2-20000-2-2-2220000000000222-2-2002222-2-20000-2-2-2220000000000-2-2-22200-2-2-2-2220000222-2-20000000000
χ5122-2-22002-2-22220000-22-22-2000000000022-2-22002-2-22220000-22-22-2000000000022-2-22002-2-22220000-22-22-20000000000-2-222-200-222-2-2-200002-22-220000000000
χ5222-2-22002-2-22-2-20000-222-22000000000022-2-22002-2-22-2-20000-222-22000000000022-2-22002-2-22-2-20000-222-220000000000-2-222-200-222-22200002-2-22-20000000000
χ534444444-1-1-1-100-1-1-1-1-1-100000000000004444444-1-1-1-100-1-1-1-1-1-100000000000004444444-1-1-1-100-1-1-1-1-1-10000000000000-4-4-4-4-4-4-41111001111110000000000000
χ5444444-4-4-1-1-1-1001111-1-1000000000000044444-4-4-1-1-1-1001111-1-1000000000000044444-4-4-1-1-1-1001111-1-10000000000000-4-4-4-4-444111100-1-1-1-1110000000000000
χ55444-4-400-1-1-1-1005−55−5110000000000000444-4-400-1-1-1-1005−55−5110000000000000444-4-400-1-1-1-1005−55−5110000000000000-4-4-44400111100−55−55-1-10000000000000
χ56444-4-400-1-1-1-100−55−55110000000000000444-4-400-1-1-1-100−55−55110000000000000444-4-400-1-1-1-100−55−55110000000000000-4-4-444001111005−55−5-1-10000000000000
χ5744-44-44-4-111-100-1-111-11000000000000044-44-44-4-111-100-1-111-11000000000000044-44-44-4-111-100-1-111-110000000000000-4-44-44-441-1-110011-1-11-10000000000000
χ5844-44-4-44-111-10011-1-1-11000000000000044-44-4-44-111-10011-1-1-11000000000000044-44-4-44-111-10011-1-1-110000000000000-4-44-444-41-1-1100-1-1111-10000000000000
χ5944-4-4400-111-1005−5−551-1000000000000044-4-4400-111-1005−5−551-1000000000000044-4-4400-111-1005−5−551-10000000000000-4-444-4001-1-1100−555−5-110000000000000
χ6044-4-4400-111-100−555−51-1000000000000044-4-4400-111-100−555−51-1000000000000044-4-4400-111-100−555−51-10000000000000-4-444-4001-1-11005−5−55-110000000000000
χ614-400000400-44-400000000000000000004-400000400-44-400000000000000000004-400000400-44-40000000000000000000-4400000-4004-440000000000000000000
χ624-400000400-4-4400000000000000000004-400000400-4-4400000000000000000004-400000400-4-440000000000000000000-4400000-40044-40000000000000000000
χ638-800000-225−2520000000000000000000008-800000-225−2520000000000000000000008-800000-225−252000000000000000000000-88000002−2525-2000000000000000000000
χ648-800000-2−252520000000000000000000008-800000-2−252520000000000000000000008-800000-2−25252000000000000000000000-8800000225−25-2000000000000000000000
χ6522222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000000000000000
χ66222222222222222222222222-2-2-2-2-2-2-2-2−1+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+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+5200000000000000000000000000000000
χ6722222222222-2-2222222-2-2-2-2-22i2i−2i−2i2i2i−2i−2i−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−52−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+52−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ700000000000000000000000000000000
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χ10822-22-22-22-2-22-2-222-2-22-222-2-22−2i2i2i−2i−2i2i2i−2i−1−52−1−521+52−1−521+52−1−521+52−1−521+521+52−1−521+521+52−1−52−1−521+521+52−1−521+52−1−52−1−521+521+52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−1+521−52−1+521−52−1+521−521−52−1+521−521−52−1+52−1+521−521−52−1+521−52−1+52−1+521−521−52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000000000
χ10922-22-2-222-2-2222-2-2222-2-2-22-222-22-2-22-22−1−52−1−521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−521+52−1−52−1+52−1+521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+521−52−1+5200000000000000000000000000000000
χ11022-22-2-222-2-2222-2-2222-2-2-22-22-22-222-22-2−1−52−1−521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−52−1−52−1−521+521+521+52−1−521+52−1−521+52−1−521+52−1−52−1−521+52−1−521+52−1+52−1+521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+52−1+52−1+521−521−521−52−1+521−52−1+521−52−1+521−52−1+52−1+521−52−1+521−5200000000000000000000000000000000
χ11122-22-2-222-2-22-2-2-2-2222-222-22-22i−2i−2i2i−2i2i2i−2i−1−52−1−521+52−1−521+521+52−1−52−1−521+521+52−1−521+521+521+521+52−1−52−1−52−1−521+52−1−52−1−521+52−1−521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−1+52−1+521−52−1+521−521−52−1+52−1+521−521−52−1+521−521−521−521−52−1+52−1+52−1+521−52−1+52−1+521−52−1+521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900000000000000000000000000000000
χ11222-22-2-222-2-22-2-2-2-2222-222-22-2−2i2i2i−2i2i−2i−2i2i−1−52−1−521+52−1−521+521+52−1−52−1−521+521+52−1−521+521+521+521+52−1−52−1−52−1−521+52−1−52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7−1+52−1+521−52−1+521−521−52−1+52−1+521−521−52−1+521−521−521−521−52−1+52−1+52−1+521−52−1+52−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900000000000000000000000000000000
χ113444-4-4004444440000-4-44-4-40000000000−1−5−1−5−1−51+51+500−1−5−1−5−1−5−1−5−1−5−1−500001+51+5−1−51+51+50000000000−1+5−1+5−1+51−51−500−1+5−1+5−1+5−1+5−1+5−1+500001−51−5−1+51−51−5000000000000000000000000000000000000000000
χ114444-4-4004444-4-40000-4-4-4440000000000−1−5−1−5−1−51+51+500−1−5−1−5−1−5−1−51+51+500001+51+51+5−1−5−1−50000000000−1+5−1+5−1+51−51−500−1+5−1+5−1+5−1+51−51−500001−51−51−5−1+5−1+5000000000000000000000000000000000000000000
χ11544-4-44004-4-44440000-44-44-40000000000−1−5−1−51+51+5−1−500−1−51+51+5−1−5−1−5−1−500001+5−1−51+5−1−51+50000000000−1+5−1+51−51−5−1+500−1+51−51−5−1+5−1+5−1+500001−5−1+51−5−1+51−5000000000000000000000000000000000000000000
χ11644-4-44004-4-44-4-40000-444-440000000000−1−5−1−51+51+5−1−500−1−51+51+5−1−51+51+500001+5−1−5−1−51+5−1−50000000000−1+5−1+51−51−5−1+500−1+51−51−5−1+51−51−500001−5−1+5−1+51−5−1+5000000000000000000000000000000000000000000
χ1178888888-2-2-2-200-2-2-2-2-2-20000000000000−2−25−2−25−2−25−2−25−2−25−2−25−2−251+521+521+521+52001+521+521+521+521+521+520000000000000−2+25−2+25−2+25−2+25−2+25−2+25−2+251−521−521−521−52001−521−521−521−521−521−52000000000000000000000000000000000000000000000
χ11888888-8-8-2-2-2-2002222-2-20000000000000−2−25−2−25−2−25−2−25−2−252+252+251+521+521+521+5200−1−52−1−52−1−52−1−521+521+520000000000000−2+25−2+25−2+25−2+25−2+252−252−251−521−521−521−5200−1+52−1+52−1+52−1+521−521−52000000000000000000000000000000000000000000000
χ119888-8-800-2-2-2-20025−2525−25220000000000000−2−25−2−25−2−252+252+25001+521+521+521+5200−5−525+52−5−525+52−1−52−1−520000000000000−2+25−2+25−2+252−252−25001−521−521−521−52005−52−5+525−52−5+52−1+52−1+52000000000000000000000000000000000000000000000
χ120888-8-800-2-2-2-200−2525−2525220000000000000−2−25−2−25−2−252+252+25001+521+521+521+52005+52−5−525+52−5−52−1−52−1−520000000000000−2+25−2+25−2+252−252−25001−521−521−521−5200−5+525−52−5+525−52−1+52−1+52000000000000000000000000000000000000000000000
χ12188-88-88-8-222-200-2-222-220000000000000−2−25−2−252+25−2−252+25−2−252+251+52−1−52−1−521+52001+521+52−1−52−1−521+52−1−520000000000000−2+25−2+252−25−2+252−25−2+252−251−52−1+52−1+521−52001−521−52−1+52−1+521−52−1+52000000000000000000000000000000000000000000000
χ12288-88-8-88-222-20022-2-2-220000000000000−2−25−2−252+25−2−252+252+25−2−251+52−1−52−1−521+5200−1−52−1−521+521+521+52−1−520000000000000−2+25−2+252−25−2+252−252−25−2+251−52−1+52−1+521−5200−1+52−1+521−521−521−52−1+52000000000000000000000000000000000000000000000
χ12388-8-8800-222-20025−25−25252-20000000000000−2−25−2−252+252+25−2−25001+52−1−52−1−521+5200−5−525+525+52−5−52−1−521+520000000000000−2+25−2+252−252−25−2+25001−52−1+52−1+521−52005−52−5+52−5+525−52−1+521−52000000000000000000000000000000000000000000000
χ12488-8-8800-222-200−252525−252-20000000000000−2−25−2−252+252+25−2−25001+52−1−52−1−521+52005+52−5−52−5−525+52−1−521+520000000000000−2+25−2+252−252−25−2+25001−52−1+52−1+521−5200−5+525−525−52−5+52−1+521−52000000000000000000000000000000000000000000000
χ1258-800000800-88-80000000000000000000−2−252+2500000−2−25002+25−2−252+250000000000000000000−2+252−2500000−2+25002−25−2+252−25000000000000000000000000000000000000000000000000000
χ1268-800000800-8-880000000000000000000−2−252+2500000−2−25002+252+25−2−250000000000000000000−2+252−2500000−2+25002−252−25−2+25000000000000000000000000000000000000000000000000000
χ12716-1600000-445−454000000000000000000000−4−454+45000001+5−5−55+5−1−5000000000000000000000−4+454−45000001−55−5−5+5−1+500000000000000000000000000000000000000000000000000000
χ12816-1600000-4−45454000000000000000000000−4−454+45000001+55+5−5−5−1−5000000000000000000000−4+454−45000001−5−5+55−5−1+500000000000000000000000000000000000000000000000000000

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