Finite Group Databasebeta

← Group #14289136

Character table — Group #14289136

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222444444444444444444444444444444444448888888888888888888888888888888888888820202020202024242424242424242424404040404040404040484848484860606060120120
order1222344445566610101010101044412121212121212121515202020202020202030303030303060606060606060602661010101012202020202020303030303030303060606060606060606060606060606060226666884040404040404040444121212121212210101010888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111-1-1-1-111
χ711111111111111111111-1-111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-11111-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111-1-1
χ9222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000002−1−52−1−52−1+52−1+52000000
χ10222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-21+521+521+521+521−521−521−521−52000000000-21+521+521−521−52000000
χ11222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222222-2-2-2-2−1−52−1+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+52-2-2-21+521+521−521−522−1−52−1+521+521+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+521+521+521+521+521−521−521−521−5200000022−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000-21+521+521−521−52000000
χ12222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-222222-2-2-2-2−1−52−1+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+52-2-2-21+521+521−521−522−1−52−1+521+521+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+521+521+521+521+521−521−521−521−52000000-2-21+521+521+521+521−521−521−521−520000000002−1−52−1−52−1+52−1+52000000
χ13222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000002−1+52−1+52−1−52−1−52000000
χ14222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-21−521−521−521−521+521+521+521+52000000000-21−521−521+521+52000000
χ15222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+522−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5200000022−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000-21−521−521+521+52000000
χ16222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-222222-2-2-2-2−1+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+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+522−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000-2-21−521−521−521−521+521+521+521+520000000002−1+52−1+52−1−52−1−52000000
χ17222222-22-22222222222222-222-2-222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-222222222000000000000000000000000000000000000
χ18222222-22-222222222222-2-2-222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-22222222222-2-222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ19222222-22-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-222-2-22222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-21+521+521−521−52-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1160000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
χ20222222-22-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222-222-2-22222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-21+521+521−521−52-21+521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ1160000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000
χ21222222-22-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52222−1−52−1−52−1+52−1+52-21+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521+521+521−521−521−521−5200000000−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1160000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000
χ22222222-22-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52222−1−52−1−52−1+52−1+52-21+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521+521+521−521−521−521−5200000000ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ1160000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
χ23222222-22-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-222-2-22222−1+52−1−52−1+52−1−521−521−521+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+52-2-2-21−521−521+521+52-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ920000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ24222222-22-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222-222-2-22222−1+52−1−52−1+52−1−521−521−521+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+52-2-2-21−521−521+521+52-21−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ920000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000
χ25222222-22-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+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+52222−1+52−1+52−1−52−1−52-21−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521−521−521+521+521+521+5200000000ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ920000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000
χ26222222-22-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+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+52222−1+52−1+52−1−52−1−52-21−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521−521−521+521+521+521+5200000000−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ920000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ2722222-22-222222222222200-2-2-222000022-2-22222-2-2222222222222220000000-2-2-2000000000000-2-2-2-2-2-2-2-2000000002222220000000000-200-2-2000000000000000
χ2822222-22-222222222222200-2-2-222000022-2-22222-2-2222222222222220000000-2-2-2000000000000-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2000000000020022000000000000000
χ2922222-2-2-2-222222222222002-2-2-2-2000022-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000222000000000000-2-222-2-22200000000000000000000000002-20022-2-200000000000
χ3022222-2-2-2-222222222222002-2-2-2-2000022-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-20000000222000000000000-2-222-2-2220000000000000000000000000-2200-2-22200000000000
χ312222-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000222-1-1-1-1-1-100000000000
χ322222-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000000-2-2-211111100000000000
χ332222-1222222-1-1-1222222-2-22-1-1-1-11111-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-122-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-1-1-1-100000000002-2-2-1-1111100000000000
χ342222-1222222-1-1-1222222-2-22-1-1-1-11111-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-211-2-2-2-2-122-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-211110000000000-22211-1-1-1-100000000000
χ352222-12-22-222-1-1-122222222-2-1-111-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-111111111-211-2-2-2-21-2-2222211111111-1-111-1-111-1-1-1-1-1-1-1-100−i3−i3i3i30000000000000−i3i3−i3i3−i3i300000000000
χ362222-12-22-222-1-1-122222222-2-1-111-1-1-1-1-1-122-2-2-2-222-1-1-1-1-1-111111111-211-2-2-2-21-2-2222211111111-1-111-1-111-1-1-1-1-1-1-1-100i3i3−i3−i30000000000000i3−i3i3−i3i3−i300000000000
χ372222-12-22-222-1-1-1222222-2-2-2-1-1111111-1-122-2-2-2-222-1-1-1-1-1-1111111112-1-122221-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-1111111111100−i3−i3i3i30000000000000−i3i3i3−i3i3−i300000000000
χ382222-12-22-222-1-1-1222222-2-2-2-1-1111111-1-122-2-2-2-222-1-1-1-1-1-1111111112-1-122221-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-1111111111100i3i3−i3−i30000000000000i3−i3−i3i3−i3i300000000000
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χ1014-44-4-2-4040−1−5−1+52-22−1−51+5−1+51−51+51−50002-200−232323−231+521−521+51−50000−1−5−1+51+52−1−521−52−1+52−1−52−1+52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ940002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1160000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−521+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−1+521−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000000000
χ1024-44-4-2-4040−1+5−1−52-22−1+51−5−1−51+51−51+50002-20023−23−23231−521+521−51+50000−1+5−1−51−52−1+521+52−1−52−1+52−1−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ920000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+521−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−1−521+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000000
χ1034-44-4-2-4040−1+5−1−52-22−1+51−5−1−51+51−51+50002-20023−23−23231−521+521−51+50000−1+5−1−51−52−1+521+52−1−52−1+52−1−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ1180002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ920000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+521−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−1−521+52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000000
χ1044-44-4-2-4040−1+5−1−52-22−1+51−5−1−51+51−51+50002-200−232323−231−521+521−51+50000−1+5−1−51−52−1+521+52−1−52−1+52−1−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ1180002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ920000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+521−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−1−521+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000000
χ1054-44-4-2-4040−1+5−1−52-22−1+51−5−1−51+51−51+50002-200−232323−231−521+521−51+50000−1+5−1−51−52−1+521+52−1−52−1+52−1−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ920000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+521−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−1−521+52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000000
χ1064-4-444040-444-4-44-4-4-4-44400000-4400004400-44-4400-4-4-4-444-4-444-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-444040-4−1−5−1+5-4-441+51+51−51−5−1−5−1+500000-440000−1−5−1+5001+5−1−51−5−1+5001+51+51−51−5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ11900000000000000000000
χ1084-4-444040-4−1−5−1+5-4-441+51+51−51−5−1−5−1+500000-440000−1−5−1+5001+5−1−51−5−1+5001+51+51−51−5−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ11900000000000000000000
χ1094-4-444040-4−1+5−1−5-4-441−51−51+51+5−1+5−1−500000-440000−1+5−1−5001−5−1+51+5−1−5001−51−51+51+5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ10300000000000000000000
χ1104-4-444040-4−1+5−1−5-4-441−51−51+51+5−1+5−1−500000-440000−1+5−1−5001−5−1+51+5−1−5001−51−51+51+5−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119ζ29+ζ31−ζ61+ζ71−ζ79−ζ101+ζ109−ζ119−ζ29−ζ31+ζ61−ζ71+ζ79+ζ101−ζ109+ζ119−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103ζ7+ζ13−ζ23−ζ37+ζ47+ζ53−ζ77−ζ103−ζ7−ζ13+ζ23+ζ37−ζ47−ζ53+ζ77+ζ10300000000000000000000
χ1114-4-4440-404−1−5−1+5-4-441+51+51−51−5−1−5−1+5000004-40000−1−5−1+500−1−51+5−1+51−5001+51+51−51−5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000022−22−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ11900000000000000000000
χ1124-4-4440-404−1−5−1+5-4-441+51+51−51−5−1−5−1+5000004-40000−1−5−1+500−1−51+5−1+51−5001+51+51−51−5−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000−2222ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ11900000000000000000000
χ1134-4-4440-404−1+5−1−5-4-441−51−51+51+5−1+5−1−5000004-40000−1+5−1−500−1+51−5−1−51+5001−51−51+51+5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000022−22ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ10300000000000000000000
χ1144-4-4440-404−1+5−1−5-4-441−51−51+51+5−1+5−1−5000004-40000−1+5−1−500−1+51−5−1−51+5001−51−51+51+5−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000−2222−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ10300000000000000000000
χ1154-4-44-2040-44422-2-4-4-4-444000002-20000-2-200-44-44002222-2-222-2-222-2-20000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ1164-4-44-2040-44422-2-4-4-4-444000002-20000-2-200-44-44002222-2-222-2-222-2-200000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ1174-4-44-20-4044422-2-4-4-4-44400000-220000-2-2004-44-4002222-2-2-2-222-2-222000000000000000000000000000000000000004-4-22-22000000000000000000000000000000
χ1184-4-44-20-4044422-2-4-4-4-44400000-220000-2-2004-44-4002222-2-2-2-222-2-22200000000000000000000000000000000000000-442-22-2000000000000000000000000000000
χ11988-8-880000−2−25−2+258-8-82+25−2−252−25−2+252+252−2500000000000−2−25−2+25000000002+25−2−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-880000−2+25−2−258-8-82−25−2+252+25−2−252−252+2500000000000−2+25−2−25000000002−25−2+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4000088-444-88-88-8-800000000000-4-4000000004-44-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-40000−2−25−2+25-4442+25−2−252−25−2+252+252−25000000000001+51−500000000−1−51+5−1+51−5−1−5−1+52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-40000−2−25−2+25-4442+25−2−252−25−2+252+252−25000000000001+51−500000000−1−51+5−1+51−5−1−5−1+5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-40000−2+25−2−25-4442−25−2+252+25−2−252−252+25000000000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000
χ12588-8-8-40000−2+25−2−25-4442−25−2+252+25−2−252−252+25000000000001−51+500000000−1+51−5−1−51+5−1+5−1−52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4080-8−2−25−2+2544-42+252+252−252−25−2−25−2+25000004-400001+51−5002+25−2−252−25−2+2500−1−5−1−5−1+5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-4080-8−2+25−2−2544-42−252−252+252+25−2+25−2−25000004-400001−51+5002−25−2+252+25−2−2500−1+5−1+5−1−5−1−51−51+5−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-40-808−2−25−2+2544-42+252+252−252−25−2−25−2+2500000-4400001+51−500−2−252+25−2+252−2500−1−5−1−5−1+5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-40-808−2+25−2−2544-42−252−252+252+25−2+25−2−2500000-4400001−51+500−2+252−25−2−252+2500−1+5−1+5−1−5−1−51−51+51−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000000000

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