Finite Group Databasebeta

← Group #14278128

Character table — Group #14278128

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size111122444444448888888888888882020202040404040404040404040111122444444448888888888888882020202040404040404040404040111122444444448888888888888882020202040404040404040404040
order12222251010101010101044420202020202020202020202044442288888888366666153030303030303012121260606060606060606060606012121212662424242424242424366666153030303030303012121260606060606060606060606012121212662424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i11111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i11111111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii11111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii11111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii
χ5111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ6111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ7111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ8111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ922222222222222-200-2-2-2-2000000002-2-22000000000022222222222222-200-2-2-2-2000000002-2-22000000000022222222222222-200-2-2-2-2000000002-2-220000000000
χ1022222222222222-200-2-2-2-200000000-222-2000000000022222222222222-200-2-2-2-200000000-222-2000000000022222222222222-200-2-2-2-200000000-222-20000000000
χ112-22-22-22222-2-2-2-200000000000000002i−2i00000001−i−1+i1+i−1−i2-22-22-22222-2-2-2-200000000000000002i−2i00000001−i−1+i1+i−1−i2-22-22-22222-2-2-2-200000000000000002i−2i00000001−i−1+i1+i−1−i
χ122-22-22-22222-2-2-2-200000000000000002i−2i0000000−1+i1−i−1−i1+i2-22-22-22222-2-2-2-200000000000000002i−2i0000000−1+i1−i−1−i1+i2-22-22-22222-2-2-2-200000000000000002i−2i0000000−1+i1−i−1−i1+i
χ132-22-22-22222-2-2-2-20000000000000000−2i2i00000001+i−1−i1−i−1+i2-22-22-22222-2-2-2-20000000000000000−2i2i00000001+i−1−i1−i−1+i2-22-22-22222-2-2-2-20000000000000000−2i2i00000001+i−1−i1−i−1+i
χ142-22-22-22222-2-2-2-20000000000000000−2i2i0000000−1−i1+i−1+i1−i2-22-22-22222-2-2-2-20000000000000000−2i2i0000000−1−i1+i−1+i1−i2-22-22-22222-2-2-2-20000000000000000−2i2i0000000−1−i1+i−1+i1−i
χ152-22-2-2222-2-2-222-2000000000000000200-200i2−i2i2−i200002-22-2-2222-2-2-222-2000000000000000200-200i2−i2i2−i200002-22-2-2222-2-2-222-2000000000000000200-200i2−i2i2−i20000
χ162-22-2-2222-2-2-222-2000000000000000200-200−i2i2−i2i200002-22-2-2222-2-2-222-2000000000000000200-200−i2i2−i2i200002-22-2-2222-2-2-222-2000000000000000200-200−i2i2−i2i20000
χ172-22-2-2222-2-2-222-2000000000000000-2002002−2−2200002-22-2-2222-2-2-222-2000000000000000-2002002−2−2200002-22-2-2222-2-2-222-2000000000000000-2002002−2−220000
χ182-22-2-2222-2-2-222-2000000000000000-200200−222−200002-22-2-2222-2-2-222-2000000000000000-200200−222−200002-22-2-2222-2-2-222-2000000000000000-200200−222−20000
χ19444444-1-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-100000000000000444444-1-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-100000000000000444444-1-1-1-1-1-1-1-1444-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ20444444-1-1-1-1-1-1-1-14-4-4-1-1-1-11111111100000000000000444444-1-1-1-1-1-1-1-14-4-4-1-1-1-11111111100000000000000444444-1-1-1-1-1-1-1-14-4-4-1-1-1-11111111100000000000000
χ21444444-1-1-1-1-1-1-1-1-40011115555−5−5−5−500000000000000444444-1-1-1-1-1-1-1-1-40011115555−5−5−5−500000000000000444444-1-1-1-1-1-1-1-1-40011115555−5−5−5−500000000000000
χ22444444-1-1-1-1-1-1-1-1-4001111−5−5−5−5555500000000000000444444-1-1-1-1-1-1-1-1-4001111−5−5−5−5555500000000000000444444-1-1-1-1-1-1-1-1-4001111−5−5−5−5555500000000000000
χ234444-4-444-4-44-4-44000000000000000000000000000004444-4-444-4-44-4-44000000000000000000000000000004444-4-444-4-44-4-4400000000000000000000000000000
χ244444-4-4-1-111-111-100055−5−5ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118000000000000004444-4-4-1-111-111-100055−5−5ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118000000000000004444-4-4-1-111-111-100055−5−5ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ11800000000000000
χ254444-4-4-1-111-111-100055−5−5−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118000000000000004444-4-4-1-111-111-100055−5−5−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118000000000000004444-4-4-1-111-111-100055−5−5−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ11800000000000000
χ264444-4-4-1-111-111-1000−5−555ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118000000000000004444-4-4-1-111-111-1000−5−555ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118000000000000004444-4-4-1-111-111-1000−5−555ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ11800000000000000
χ274444-4-4-1-111-111-1000−5−555−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118000000000000004444-4-4-1-111-111-1000−5−555−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118000000000000004444-4-4-1-111-111-1000−5−555−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ11800000000000000
χ2844-4-4004-400400-402i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000044-4-4004-400400-402i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000044-4-4004-400400-402i−2i00002i−2i2i−2i2i−2i2i−2i00000000000000
χ2944-4-4004-400400-40−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000044-4-4004-400400-40−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000044-4-4004-400400-40−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000000000
χ3044-4-400-115−5-15−5102i−2iζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ118−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ118−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ118ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ118−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ940000000000000044-4-400-115−5-15−5102i−2iζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ118−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ118−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ118ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ118−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ940000000000000044-4-400-115−5-15−5102i−2iζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ118−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ118−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ118ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ118−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ9400000000000000
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χ4711111111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86
χ48111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ49111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ50111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86
χ51111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86
χ5222222222222222-200-2-2-2-2000000002-2-220000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i31−i31−i31−i300000000−1+i31−i31−i3−1+i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i31+i31+i31+i300000000−1−i31+i31+i3−1−i30000000000
χ5322222222222222-200-2-2-2-200000000-222-20000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3001−i31−i31−i31−i3000000001−i3−1+i3−1+i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3001+i31+i31+i31+i3000000001+i3−1−i3−1−i31+i30000000000
χ542-22-22-22222-2-2-2-200000000000000002i−2i00000001−i−1+i1+i−1−i−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ1180000000ζ4+ζ22+ζ28+ζ46+ζ52+ζ76+ζ94+ζ118−ζ4−ζ22−ζ28−ζ46−ζ52−ζ76−ζ94−ζ118ζ4−ζ22+ζ28−ζ46+ζ52+ζ76−ζ94−ζ118−ζ4+ζ22−ζ28+ζ46−ζ52−ζ76+ζ94+ζ118−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ860000000ζ14+ζ38+ζ44+ζ62+ζ68+ζ86+ζ92+ζ116−ζ14−ζ38−ζ44−ζ62−ζ68−ζ86−ζ92−ζ116−ζ14−ζ38+ζ44−ζ62+ζ68−ζ86+ζ92+ζ116ζ14+ζ38−ζ44+ζ62−ζ68+ζ86−ζ92−ζ116
χ552-22-22-22222-2-2-2-200000000000000002i−2i0000000−1+i1−i−1−i1+i−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000000000000000−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ1180000000−ζ4−ζ22−ζ28−ζ46−ζ52−ζ76−ζ94−ζ118ζ4+ζ22+ζ28+ζ46+ζ52+ζ76+ζ94+ζ118−ζ4+ζ22−ζ28+ζ46−ζ52−ζ76+ζ94+ζ118ζ4−ζ22+ζ28−ζ46+ζ52+ζ76−ζ94−ζ118−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000000000000000−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ860000000−ζ14−ζ38−ζ44−ζ62−ζ68−ζ86−ζ92−ζ116ζ14+ζ38+ζ44+ζ62+ζ68+ζ86+ζ92+ζ116ζ14+ζ38−ζ44+ζ62−ζ68+ζ86−ζ92−ζ116−ζ14−ζ38+ζ44−ζ62+ζ68−ζ86+ζ92+ζ116
χ562-22-22-22222-2-2-2-20000000000000000−2i2i00000001+i−1−i1−i−1+i−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000002ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ1180000000ζ4−ζ22+ζ28−ζ46+ζ52+ζ76−ζ94−ζ118−ζ4+ζ22−ζ28+ζ46−ζ52−ζ76+ζ94+ζ118ζ4+ζ22+ζ28+ζ46+ζ52+ζ76+ζ94+ζ118−ζ4−ζ22−ζ28−ζ46−ζ52−ζ76−ζ94−ζ118−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000002ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ860000000−ζ14−ζ38+ζ44−ζ62+ζ68−ζ86+ζ92+ζ116ζ14+ζ38−ζ44+ζ62−ζ68+ζ86−ζ92−ζ116ζ14+ζ38+ζ44+ζ62+ζ68+ζ86+ζ92+ζ116−ζ14−ζ38−ζ44−ζ62−ζ68−ζ86−ζ92−ζ116
χ572-22-22-22222-2-2-2-20000000000000000−2i2i0000000−1−i1+i−1+i1−i−1+i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300000000000000002ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ1180000000−ζ4+ζ22−ζ28+ζ46−ζ52−ζ76+ζ94+ζ118ζ4−ζ22+ζ28−ζ46+ζ52+ζ76−ζ94−ζ118−ζ4−ζ22−ζ28−ζ46−ζ52−ζ76−ζ94−ζ118ζ4+ζ22+ζ28+ζ46+ζ52+ζ76+ζ94+ζ118−1−i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300000000000000002ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ860000000ζ14+ζ38−ζ44+ζ62−ζ68+ζ86−ζ92−ζ116−ζ14−ζ38+ζ44−ζ62+ζ68−ζ86+ζ92+ζ116−ζ14−ζ38−ζ44−ζ62−ζ68−ζ86−ζ92−ζ116ζ14+ζ38+ζ44+ζ62+ζ68+ζ86+ζ92+ζ116
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χ12144-4-400-11−55-1−55102i−2i−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ94−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ118−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ118−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ118ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ11800000000000000−2−2i3−2−2i32+2i32+2i3001+i32−1−i32ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ1161+i32ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ116−1−i320−2ζ14−2ζ38−2ζ62−2ζ862ζ14+2ζ38+2ζ62+2ζ86ζ14+ζ38−ζ62−ζ86−ζ14−ζ38+ζ62+ζ86−ζ14+ζ38−ζ62+ζ86ζ14−ζ38+ζ62−ζ86ζ14+ζ68+ζ86−ζ92−ζ14−ζ68−ζ86+ζ92ζ14−ζ68+ζ86+ζ92−ζ14+ζ68−ζ86−ζ92ζ38−ζ44+ζ62+ζ116−ζ38+ζ44−ζ62−ζ116ζ38+ζ44+ζ62−ζ116−ζ38−ζ44−ζ62+ζ11600000000000000−2+2i3−2+2i32−2i32−2i3001−i32−1+i32ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ761−i32ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ76−1+i320−2ζ22−2ζ46−2ζ94−2ζ1182ζ22+2ζ46+2ζ94+2ζ118−ζ22−ζ46+ζ94+ζ118ζ22+ζ46−ζ94−ζ118−ζ22+ζ46−ζ94+ζ118ζ22−ζ46+ζ94−ζ118ζ28+ζ46−ζ52+ζ94−ζ28−ζ46+ζ52−ζ94−ζ28+ζ46+ζ52+ζ94ζ28−ζ46−ζ52−ζ94−ζ4+ζ22+ζ76+ζ118ζ4−ζ22−ζ76−ζ118ζ4+ζ22−ζ76+ζ118−ζ4−ζ22+ζ76−ζ11800000000000000
χ12244-4-400-11−55-1−5510−2i2iζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94ζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ94−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ118−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ118−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ118ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ11800000000000000−2−2i3−2−2i32+2i32+2i3001+i32−1−i32ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ1161+i32ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ116−1−i3202ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86−ζ14−ζ38+ζ62+ζ86ζ14+ζ38−ζ62−ζ86ζ14−ζ38+ζ62−ζ86−ζ14+ζ38−ζ62+ζ86−ζ14+ζ68−ζ86−ζ92ζ14−ζ68+ζ86+ζ92−ζ14−ζ68−ζ86+ζ92ζ14+ζ68+ζ86−ζ92−ζ38−ζ44−ζ62+ζ116ζ38+ζ44+ζ62−ζ116−ζ38+ζ44−ζ62−ζ116ζ38−ζ44+ζ62+ζ11600000000000000−2+2i3−2+2i32−2i32−2i3001−i32−1+i32ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ761−i32ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ76−1+i3202ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118ζ22+ζ46−ζ94−ζ118−ζ22−ζ46+ζ94+ζ118ζ22−ζ46+ζ94−ζ118−ζ22+ζ46−ζ94+ζ118ζ28−ζ46−ζ52−ζ94−ζ28+ζ46+ζ52+ζ94−ζ28−ζ46+ζ52−ζ94ζ28+ζ46−ζ52+ζ94−ζ4−ζ22+ζ76−ζ118ζ4+ζ22−ζ76+ζ118ζ4−ζ22−ζ76−ζ118−ζ4+ζ22+ζ76+ζ11800000000000000
χ12344-4-400-11−55-1−5510−2i2i−ζ14+ζ22−ζ38+ζ46+ζ62+ζ86−ζ94−ζ118ζ14−ζ22+ζ38−ζ46−ζ62−ζ86+ζ94+ζ118ζ14+ζ22−ζ38−ζ46+ζ62−ζ86+ζ94−ζ118−ζ14−ζ22+ζ38+ζ46−ζ62+ζ86−ζ94+ζ118ζ14+ζ28+ζ46−ζ52+ζ68+ζ86−ζ92+ζ94−ζ14−ζ28−ζ46+ζ52−ζ68−ζ86+ζ92−ζ94ζ14−ζ28+ζ46+ζ52−ζ68+ζ86+ζ92+ζ94−ζ14+ζ28−ζ46−ζ52+ζ68−ζ86−ζ92−ζ94−ζ4+ζ22+ζ38−ζ44+ζ62+ζ76+ζ116+ζ118ζ4−ζ22−ζ38+ζ44−ζ62−ζ76−ζ116−ζ118ζ4+ζ22+ζ38+ζ44+ζ62−ζ76−ζ116+ζ118−ζ4−ζ22−ζ38−ζ44−ζ62+ζ76+ζ116−ζ11800000000000000−2−2i3−2−2i32+2i32+2i3001+i32−1−i32ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ1161+i32ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ116−1−i3202ζ14+2ζ38+2ζ62+2ζ86−2ζ14−2ζ38−2ζ62−2ζ86ζ14+ζ38−ζ62−ζ86−ζ14−ζ38+ζ62+ζ86−ζ14+ζ38−ζ62+ζ86ζ14−ζ38+ζ62−ζ86−ζ14−ζ68−ζ86+ζ92ζ14+ζ68+ζ86−ζ92−ζ14+ζ68−ζ86−ζ92ζ14−ζ68+ζ86+ζ92−ζ38+ζ44−ζ62−ζ116ζ38−ζ44+ζ62+ζ116−ζ38−ζ44−ζ62+ζ116ζ38+ζ44+ζ62−ζ11600000000000000−2+2i3−2+2i32−2i32−2i3001−i32−1+i32ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ761−i32ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ76−1+i3202ζ22+2ζ46+2ζ94+2ζ118−2ζ22−2ζ46−2ζ94−2ζ118−ζ22−ζ46+ζ94+ζ118ζ22+ζ46−ζ94−ζ118−ζ22+ζ46−ζ94+ζ118ζ22−ζ46+ζ94−ζ118−ζ28−ζ46+ζ52−ζ94ζ28+ζ46−ζ52+ζ94ζ28−ζ46−ζ52−ζ94−ζ28+ζ46+ζ52+ζ94ζ4−ζ22−ζ76−ζ118−ζ4+ζ22+ζ76+ζ118−ζ4−ζ22+ζ76−ζ118ζ4+ζ22−ζ76+ζ11800000000000000
χ1244-4-44004-400-400400000000000000000002-200000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i3002+2i300−2−2i30000000000000000000−1−i31+i300000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i3002−2i300−2+2i30000000000000000000−1+i31−i300000000
χ1254-4-44004-400-40040000000000000000000-2200000000−2−2i32+2i32+2i3−2−2i300−2−2i32+2i3002+2i300−2−2i300000000000000000001+i3−1−i300000000−2+2i32−2i32−2i3−2+2i300−2+2i32−2i3002−2i300−2+2i300000000000000000001−i3−1+i300000000
χ1268-88-88-8-2-2-2-2222200000000000000000000000000000−4−4i34+4i3−4−4i34+4i3−4−4i34+4i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i300000000000000000000000000000−4+4i34−4i3−4+4i34−4i3−4+4i34−4i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i300000000000000000000000000000
χ1278-88-8-88-2-2222-2-2200000000000000000000000000000−4−4i34+4i3−4−4i34+4i34+4i3−4−4i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i300000000000000000000000000000−4+4i34−4i3−4+4i34−4i34−4i3−4+4i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i300000000000000000000000000000
χ1288-8-8800-2225−252−2525-200000000000000000000000000000−4−4i34+4i34+4i3−4−4i3001+i3−1−i3−2ζ44+2ζ68+2ζ92−2ζ1162ζ44−2ζ68−2ζ92+2ζ116−1−i32ζ44−2ζ68−2ζ92+2ζ116−2ζ44+2ζ68+2ζ92−2ζ1161+i300000000000000000000000000000−4+4i34−4i34−4i3−4+4i3001−i3−1+i3−2ζ4+2ζ28+2ζ52−2ζ762ζ4−2ζ28−2ζ52+2ζ76−1+i32ζ4−2ζ28−2ζ52+2ζ76−2ζ4+2ζ28+2ζ52−2ζ761−i300000000000000000000000000000
χ1298-8-8800-22−2525225−25-200000000000000000000000000000−4−4i34+4i34+4i3−4−4i3001+i3−1−i32ζ44−2ζ68−2ζ92+2ζ116−2ζ44+2ζ68+2ζ92−2ζ116−1−i3−2ζ44+2ζ68+2ζ92−2ζ1162ζ44−2ζ68−2ζ92+2ζ1161+i300000000000000000000000000000−4+4i34−4i34−4i3−4+4i3001−i3−1+i32ζ4−2ζ28−2ζ52+2ζ76−2ζ4+2ζ28+2ζ52−2ζ76−1+i3−2ζ4+2ζ28+2ζ52−2ζ762ζ4−2ζ28−2ζ52+2ζ761−i300000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.