Finite Group Databasebeta

← Group #11747415

Character table — Group #11747415

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222222224444444444444444444488888888888888881010101010101212121212121212121220202020202020202024242424246060120
order1222344556661010101010104412121212121215152020202030303030303020202020606060606060606060606060441212121288404040404040404022466661212420202020884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-11-1-1-1-111-1-1-1-1-111-1
χ6111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-11
χ7111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-1-1-1-11
χ8111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111111-1
χ92222222−1−52−1+52222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52000
χ102222222−1−52−1+52222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-21+521+521+521+521−521−521−521−52000000000-21+521+521−521−52000
χ112222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+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+521−521−52000
χ122222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+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+52000
χ132222222−1+52−1−52222−1+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+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+52−1−52−1−52000
χ142222222−1+52−1−52222−1+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+52−1−52−1−52−1−52−1−52000000-2-21−521−521−521−521+521+521+521+52000000000-21−521−521+521+52000
χ152222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+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+52000
χ162222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+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+52−1−52−1−52000
χ1722222-2-22222222222200-2-2000022-2-2-2-22222220000-2-2-2-200000000222222000000000000-20000-2-200000000
χ1822222-2-22222222222200-2-2000022-2-2-2-22222220000-2-2-2-200000000-2-2-2-2-2-2000000000000200002200000000
χ192222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000222-1-1-1-1-1-100000000
χ202222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000000000-2-2-211111100000000
χ212222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-10000000000-2-221111-1-100000000
χ222222-12222-1-1-1222222-2-2-1-11111-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-21111000000000022-2-1-1-1-11100000000
χ232222-1-2-222-1-1-12222220011−i3−i3i3i3-1-1-2-2-2-2-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i322-1-1-1-1000000000000-2−i3−i3i3i31100000000
χ242222-1-2-222-1-1-12222220011−i3−i3i3i3-1-1-2-2-2-2-1-1-1-1-1-100001111−i3−i3i3i3−i3−i3i3i3-2-211110000000000002i3i3−i3−i3-1-100000000
χ252222-1-2-222-1-1-12222220011i3i3−i3−i3-1-1-2-2-2-2-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i322-1-1-1-1000000000000-2i3i3−i3−i31100000000
χ262222-1-2-222-1-1-12222220011i3i3−i3−i3-1-1-2-2-2-2-1-1-1-1-1-100001111i3i3−i3−i3i3i3−i3−i3-2-211110000000000002−i3−i3i3i3-1-100000000
χ2722-2-222-2222-2-222-2-2-2-2002-200002222-2-2-2-222-2-200002-22-20000000000000000000000002-202-22-20000000000
χ2822-2-222-2222-2-222-2-2-2-2002-200002222-2-2-2-222-2-200002-22-2000000000000000000000000-220-22-220000000000
χ2922-2-22-22222-2-222-2-2-2-22i−2i-222i−2i2i−2i22-2-222-2-222-2-22i−2i2i−2i-22-222i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000
χ3022-2-22-22222-2-222-2-2-2-2−2i2i-22−2i2i−2i2i22-2-222-2-222-2-2−2i2i−2i2i-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000
χ3122-2-22-22−1−52−1+522-2-2−1−52−1+521+521−521+521−522i−2i-222i−2i2i−2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ941+52−1−521−52−1+52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400000000−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−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000
χ3222-2-22-22−1−52−1+522-2-2−1−52−1+521+521−521+521−522i−2i-222i−2i2i−2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ941+52−1−521−52−1+52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ9400000000ζ28−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−ζ1160000000000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94000
χ3322-2-22-22−1−52−1+522-2-2−1−52−1+521+521−521+521−52−2i2i-22−2i2i−2i2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ941+52−1−521−52−1+52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ9400000000−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+ζ1160000000000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94000
χ3422-2-22-22−1−52−1+522-2-2−1−52−1+521+521−521+521−52−2i2i-22−2i2i−2i2i−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1+521+521−52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ941+52−1−521−52−1+52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ9400000000ζ28−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−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000
χ3522-2-22-22−1+52−1−522-2-2−1+52−1−521−521+521−521+522i−2i-222i−2i2i−2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1181−52−1+521+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+ζ11800000000ζ4+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−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000
χ3622-2-22-22−1+52−1−522-2-2−1+52−1−521−521+521−521+522i−2i-222i−2i2i−2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1181−52−1+521+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+ζ11800000000−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−ζ920000000000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000
χ3722-2-22-22−1+52−1−522-2-2−1+52−1−521−521+521−521+52−2i2i-22−2i2i−2i2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1181−52−1+521+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−ζ11800000000ζ4+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+ζ920000000000ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118000
χ3822-2-22-22−1+52−1−522-2-2−1+52−1−521−521+521−521+52−2i2i-22−2i2i−2i2i−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1181−52−1+521+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−ζ11800000000−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−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118000
χ3922-2-2-12-222-11122-2-2-2-200-113−3−33-1-122-2-211-1-1110000-11-113−3−333−3−330033−3−300000000002-20-11-113−300000000
χ4022-2-2-12-222-11122-2-2-2-200-113−3−33-1-122-2-211-1-1110000-11-113−3−333−3−3300−3−3330000000000-2201-11-1−3300000000
χ4122-2-2-12-222-11122-2-2-2-200-11−333−3-1-122-2-211-1-1110000-11-11−333−3−333−30033−3−30000000000-2201-11-13−300000000
χ4222-2-2-12-222-11122-2-2-2-200-11−333−3-1-122-2-211-1-1110000-11-11−333−3−333−300−3−33300000000002-20-11-11−3300000000
χ4322-2-2-1-2222-11122-2-2-2-22i−2i1-1−ii−ii-1-1-2-22211-1-1112i−2i2i−2i1-11-1−ii−ii−ii−ii0033−3−30000000000000−i3i3i3−i3−3300000000
χ4422-2-2-1-2222-11122-2-2-2-22i−2i1-1−ii−ii-1-1-2-22211-1-1112i−2i2i−2i1-11-1−ii−ii−ii−ii00−3−3330000000000000i3−i3−i3i33−300000000
χ4522-2-2-1-2222-11122-2-2-2-2−2i2i1-1i−ii−i-1-1-2-22211-1-111−2i2i−2i2i1-11-1i−ii−ii−ii−i0033−3−30000000000000i3−i3−i3i3−3300000000
χ4622-2-2-1-2222-11122-2-2-2-2−2i2i1-1i−ii−i-1-1-2-22211-1-111−2i2i−2i2i1-11-1i−ii−ii−ii−i00−3−3330000000000000−i3i3i3−i33−300000000
χ472-22-220022-2-22-2-222-2-200000000220000-2-2-2-22200000000000000002-22-22-2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000−i2i20
χ482-22-220022-2-22-2-222-2-200000000220000-2-2-2-22200000000000000002-22-22-2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000i2−i20
χ492-22-220022-2-22-2-222-2-200000000220000-2-2-2-2220000000000000000-22-22-22−i2i2−i2i2−i2i2−i2i2−i2i200000000000000i2−i20
χ502-22-220022-2-22-2-222-2-200000000220000-2-2-2-2220000000000000000-22-22-22i2−i2i2−i2i2−i2i2−i2i2−i200000000000000−i2i20
χ5144444-4-4−1−5−1+5444−1−5−1+5−1−5−1+5−1−5−1+500-4-40000−1−5−1+51+51−51+51−5−1−5−1+5−1−5−1+5−1−5−1+500001+51+51−51−500000000000000000000000000000000000000000
χ5244444-4-4−1+5−1−5444−1+5−1−5−1+5−1−5−1+5−1−500-4-40000−1+5−1−51−51+51−51+5−1+5−1−5−1+5−1−5−1+5−1−500001−51−51+51+500000000000000000000000000000000000000000
χ534444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+544-2-2-2-2-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000000000
χ544444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5-4-4-2-222221+521−52−1−5−1+5−1−5−1+51+521−521+521−521+521−521+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000000000
χ554444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−544-2-2-2-2-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521+521−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521−521−521−521+521+521+521+52000000000000000000000000000000000
χ564444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5-4-4-2-222221−521+52−1+5−1−5−1+5−1−51−521+521−521+521−521+521−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000000000
χ574444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+50022−2i3−2i32i32i31+521−521+51−51+51−51+521−521+521−521+521−520000−1−52−1−52−1+52−1+52ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116000000000000000000000000000000000
χ584444-2-4-4−1−5−1+5-2-2-2−1−5−1+5−1−5−1+5−1−5−1+500222i32i3−2i3−2i31+521−521+51−51+51−51+521−521+521−521+521−520000−1−52−1−52−1+52−1+52−ζ28−ζ52+ζ68+ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ4−ζ44+ζ76−ζ116000000000000000000000000000000000
χ594444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−50022−2i3−2i32i32i31−521+521−51+51−51+51−521+521−521+521−521+520000−1+52−1+52−1−52−1−52ζ4−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+ζ92000000000000000000000000000000000
χ604444-2-4-4−1+5−1−5-2-2-2−1+5−1−5−1+5−1−5−1+5−1−500222i32i3−2i3−2i31−521+521−51+51−51+51−521+521−521+521−521+520000−1+52−1+52−1−52−1−52−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−ζ92000000000000000000000000000000000
χ6144-4-444-4−1−5−1+54-4-4−1−5−1+51+51−51+51−5004-40000−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+51+51−50000−1−51+5−1+51−500000000000000000000000000000000000000000
χ6244-4-444-4−1+5−1−54-4-4−1+5−1−51−51+51−51+5004-40000−1+5−1−5−1+5−1−51−51+51−51+5−1+5−1−51−51+50000−1+51−5−1−51+500000000000000000000000000000000000000000
χ6344-4-4-24-4−1−5−1+5-222−1−5−1+51+51−51+51−500-2223−23−23231+521−52−1−5−1+51+51−5−1−52−1+521+521−52−1−52−1+5200001+52−1−521−52−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000000
χ6444-4-4-24-4−1−5−1+5-222−1−5−1+51+51−51+51−500-22−232323−231+521−52−1−5−1+51+51−5−1−52−1+521+521−52−1−52−1+5200001+52−1−521−52−1+52ζ22−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+ζ94000000000000000000000000000000000
χ6544-4-4-24-4−1+5−1−5-222−1+5−1−51−51+51−51+500-2223−23−23231−521+52−1+5−1−51−51+5−1+52−1−521−521+52−1+52−1−5200001−52−1+521+52−1−52ζ14−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−ζ118000000000000000000000000000000000
χ6644-4-4-24-4−1+5−1−5-222−1+5−1−51−51+51−51+500-22−232323−231−521+52−1+5−1−51−51+5−1+52−1−521−521+52−1+52−1−5200001−52−1+521+52−1−52−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+ζ118000000000000000000000000000000000
χ6744-4-4-2-44−1−5−1+5-222−1−5−1+51+51−51+51−54i−4i2-2−2i2i−2i2i1+521−521+51−5−1−5−1+5−1−52−1+521+521−52−1−52−1+52−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−1−521+52−1+521−52ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94000000000000000000000000000000000
χ6844-4-4-2-44−1−5−1+5-222−1−5−1+51+51−51+51−5−4i4i2-22i−2i2i−2i1+521−521+51−5−1−5−1+5−1−52−1+521+521−52−1−52−1+522ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94−1−521+52−1+521−52−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94000000000000000000000000000000000
χ6944-4-4-2-44−1+5−1−5-222−1+5−1−51−51+51−51+54i−4i2-2−2i2i−2i2i1−521+521−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−52−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−1+521−52−1−521+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−ζ118000000000000000000000000000000000
χ7044-4-4-2-44−1+5−1−5-222−1+5−1−51−51+51−51+5−4i4i2-22i−2i2i−2i1−521+521−51+5−1+5−1−5−1+52−1−521−521+52−1+52−1−522ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118−1+521−52−1−521+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+ζ118000000000000000000000000000000000
χ714-44-4400−1−5−1+5-4-441+51−5−1−5−1+51+51−500000000−1−5−1+500001+51−51+51−5−1−5−1+50000000000000000000000−2i22i2ζ7+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−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−ζ11900000000000000000
χ724-44-4400−1−5−1+5-4-441+51−5−1−5−1+51+51−500000000−1−5−1+500001+51−51+51−5−1−5−1+500000000000000000000002i2−2i2−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+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+ζ11900000000000000000
χ734-44-4400−1+5−1−5-4-441−51+5−1+5−1−51−51+500000000−1+5−1−500001−51+51−51+5−1+5−1−50000000000000000000000−2i22i2ζ29+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−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−ζ10300000000000000000
χ744-44-4400−1+5−1−5-4-441−51+5−1+5−1−51−51+500000000−1+5−1−500001−51+51−51+5−1+5−1−500000000000000000000002i2−2i2−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+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+ζ10300000000000000000
χ754-44-4-2004422-2-4-444-4-400000000-2-200002222-2-200000000000000004-4-22-22000000000000000000000000000
χ764-44-4-2004422-2-4-444-4-400000000-2-200002222-2-20000000000000000-442-22-2000000000000000000000000000
χ774-4-4440044-44-4-4-4-4-4440000000044000044-4-4-4-40000000000000000000000000000000000000000000000000
χ784-4-44400−1−5−1+5-44-41+51−51+51−5−1−5−1+500000000−1−5−1+50000−1−5−1+51+51−51+51−5000000000000000000000000ζ7−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−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+ζ11900000000000000000
χ794-4-44400−1−5−1+5-44-41+51−51+51−5−1−5−1+500000000−1−5−1+50000−1−5−1+51+51−51+51−5000000000000000000000000−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+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−ζ11900000000000000000
χ804-4-44400−1+5−1−5-44-41−51+51−51+5−1+5−1−500000000−1+5−1−50000−1+5−1−51−51+51−51+5000000000000000000000000−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−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−ζ10300000000000000000
χ814-4-44400−1+5−1−5-44-41−51+51−51+5−1+5−1−500000000−1+5−1−50000−1+5−1−51−51+51−51+5000000000000000000000000ζ29−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+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+ζ10300000000000000000
χ824-4-44-200442-22-4-4-4-44400000000-2-20000-2-2222200000000000000000023−23−2323000000000000000000000000000
χ834-4-44-200442-22-4-4-4-44400000000-2-20000-2-22222000000000000000000−232323−23000000000000000000000000000
χ848-88-8-400−2−25−2+2544-42+252−25−2−25−2+252+252−25000000001+51−50000−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000
χ858-88-8-400−2+25−2−2544-42−252+25−2+25−2−252−252+25000000001−51+50000−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000
χ868-8-88-400−2−25−2+254-442+252−252+252−25−2−25−2+25000000001+51−500001+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000
χ878-8-88-400−2+25−2−254-442−252+252−252+25−2+25−2−25000000001−51+500001−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000

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