Finite Group Databasebeta

← Group #11749121

Character table — Group #11749121

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222222444444444444446666888888888888888888810101010121212121212121220202020242424242430303030404040120
order122234455666101010101010121215152020202030303030303088882661010101030303030303030306060606088884040404040404040242424244202020202244412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1
χ611111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ92222222−1−52−1+52222−1−52−1−52−1+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+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002−1−52−1−52−1+52−1+5200000000
χ102222222−1−52−1+52222−1−52−1−52−1+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+522222-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+520000−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-21+521+521−521−5200000000
χ112222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5200001+521+521+521+521−521−521−521−520000-21+521+521−521−5200000000
χ122222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+5200001+521+521+521+521−521−521−521−5200002−1−52−1−52−1+52−1+5200000000
χ132222222−1+52−1−52222−1+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+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002−1+52−1+52−1−52−1−5200000000
χ142222222−1+52−1−52222−1+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+52−1−522222-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−520000−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-21−521−521+521+5200000000
χ152222222−1+52−1−52222−1+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+52−1−52-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−5200001−521−521−521−521+521+521+521+520000-21−521−521+521+5200000000
χ162222222−1+52−1−52222−1+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+52−1−52-2-2-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5200001−521−521−521−521+521+521+521+5200002−1+52−1+52−1−52−1−5200000000
χ1722222-2-222222222222-2-222-2-2-2-22222220000000000000000000-2-2-2-200000000000000000000022-2-20000
χ1822222-2-222222222222-2-222-2-2-2-22222220000000000000000000-2-2-2-2000000000000000000000-2-2220000
χ192222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-10000000002-1-10
χ202222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000001111000000000-2110
χ212222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-10000-211-2-2-2-211111111-1-1-1-1222200000000-1-1-1-1000000000-2110
χ222222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-10000-211-2-2-2-211111111-1-1-1-1-2-2-2-20000000011110000000002-1-10
χ2322-2-220022-2-222-22-2-2-2002200002-22-2-2-2−i2−i2i2i2000000000000000000022−2−2−i2−i2i2i2−i2−i2i2i222−2−200000002i−2i0000
χ2422-2-220022-2-222-22-2-2-2002200002-22-2-2-2−i2−i2i2i20000000000000000000−2−222−i2−i2i2i2−i2−i2i2i2−2−2220000000−2i2i0000
χ2522-2-220022-2-222-22-2-2-2002200002-22-2-2-2i2i2−i2−i2000000000000000000022−2−2i2i2−i2−i2i2i2−i2−i222−2−20000000−2i2i0000
χ2622-2-220022-2-222-22-2-2-2002200002-22-2-2-2i2i2−i2−i20000000000000000000−2−222i2i2−i2−i2i2i2−i2−i2−2−22200000002i−2i0000
χ272-22-222-222-22-2-2-2-2-2222-22222-2-2-2-2-2-22200000000000000000002-22-22i−2i2i−2i000000002i−2i2i−2i0000000000000
χ282-22-222-222-22-2-2-2-2-2222-22222-2-2-2-2-2-22200000000000000000002-22-2−2i2i−2i2i00000000−2i2i−2i2i0000000000000
χ292-22-22-2222-22-2-2-2-2-222-2222-2-222-2-2-2-2222-22-2000000000000000-22-2200002-22-22-22-200000000000000000
χ302-22-22-2222-22-2-2-2-2-222-2222-2-222-2-2-2-222-22-22000000000000000-22-220000-22-22-22-2200000000000000000
χ312-22-22-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+522-22-2000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−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+ζ1161+52−1−521−52−1+520000−1−521+52−1−521+52−1+521−52−1+521−5200000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000
χ322-22-22-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+522-22-2000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−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−ζ1161+52−1−521−52−1+520000−1−521+52−1−521+52−1+521−52−1+521−5200000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000
χ332-22-22-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52-22-22000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−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+ζ1161+52−1−521−52−1+5200001+52−1−521+52−1−521−52−1+521−52−1+5200000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000
χ342-22-22-22−1−52−1+52-22-21+521+521−521−52−1−52−1+52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52-22-22000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−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−ζ1161+52−1−521−52−1+5200001+52−1−521+52−1−521−52−1+521−52−1+5200000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000
χ352-22-22-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−522-22-2000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+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+ζ921−52−1+521+52−1−520000−1+521−52−1+521−52−1−521+52−1−521+5200000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000
χ362-22-22-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−522-22-2000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−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−ζ921−52−1+521+52−1−520000−1+521−52−1+521−52−1−521+52−1−521+5200000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000
χ372-22-22-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52-22-22000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+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+ζ921−52−1+521+52−1−5200001−52−1+521−52−1+521+52−1−521+52−1−5200000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000
χ382-22-22-22−1+52−1−52-22-21−521−521+521+52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52-22-22000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−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−ζ921−52−1+521+52−1−5200001−52−1+521−52−1+521+52−1−521+52−1−5200000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000
χ392-22-2-12-2221-11-2-2-2-222-11-1-122-2-21111-1-100000−i3i30000−i3i3−i3i3−i3i3−i3i3-11-112i−2i2i−2i00000000−ii−ii00000000003−30
χ402-22-2-12-2221-11-2-2-2-222-11-1-122-2-21111-1-100000−i3i30000−i3i3−i3i3−i3i3−i3i3-11-11−2i2i−2i2i00000000i−ii−i0000000000−330
χ412-22-2-12-2221-11-2-2-2-222-11-1-122-2-21111-1-100000i3−i30000i3−i3i3−i3i3−i3i3−i3-11-112i−2i2i−2i00000000−ii−ii0000000000−330
χ422-22-2-12-2221-11-2-2-2-222-11-1-122-2-21111-1-100000i3−i30000i3−i3i3−i3i3−i3i3−i3-11-11−2i2i−2i2i00000000i−ii−i00000000003−30
χ432-2-22200222-2-2-22-22-2-200220000-22-22-2-2−i2i2i2−i20000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000002-2000000
χ442-2-22200222-2-2-22-22-2-200220000-22-22-2-2−i2i2i2−i20000000000000000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000-22000000
χ452-2-22200222-2-2-22-22-2-200220000-22-22-2-2i2−i2−i2i20000000000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000-22000000
χ462-2-22200222-2-2-22-22-2-200220000-22-22-2-2i2−i2−i2i20000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000002-2000000
χ4744444-4-4−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+500000000000000000001+51+51−51−500000000000000000000000000000
χ4844444-4-4−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−500000000000000000001−51−51+51+500000000000000000000000000000
χ494444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−5200004-2-2−1−5−1−5−1+5−1+51+521+521+521+521−521−521−521−521+521+521−521−5200000000000000000000000000000
χ504444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−520000-4221+51+51−51−5−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−5200000000000000000000000000000
χ514444-244−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521−521+521+521−521+5200004-2-2−1+5−1+5−1−5−1−51−521−521−521−521+521+521+521+521−521−521+521+5200000000000000000000000000000
χ524444-244−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521−521+521+521−521+520000-4221−51−51+51+5−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+5200000000000000000000000000000
χ534444-2-4-444-2-2-244444422-2-2-4-4-4-4-2-2-2-2-2-20000000000000000000222200000000000000000000000000000
χ544444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5221+521−521+51−51+51−51+521+521−521−521+521−5200000000000ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−1−52−1−52−1+52−1+5200000000000000000000000000000
χ554444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5221+521−521+51−51+51−51+521+521−521−521+521−5200000000000−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−1−52−1−52−1+52−1+5200000000000000000000000000000
χ564444-2-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5221−521+521−51+51−51+51−521−521+521+521−521+5200000000000−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−1+52−1+52−1−52−1−5200000000000000000000000000000
χ574444-2-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5221−521+521−51+51−51+51−521−521+521+521−521+5200000000000ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−1+52−1+52−1−52−1−5200000000000000000000000000000
χ5844-4-4400−1−5−1+5-4-44−1−51+5−1+51−51+51−500−1−5−1+50000−1−51+5−1+51−51+51−5−2i2−2i22i22i200000000000000000000000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ11900000000000000000
χ5944-4-4400−1−5−1+5-4-44−1−51+5−1+51−51+51−500−1−5−1+50000−1−51+5−1+51−51+51−52i22i2−2i2−2i200000000000000000000000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ11900000000000000000
χ6044-4-4400−1+5−1−5-4-44−1+51−5−1−51+51−51+500−1+5−1−50000−1+51−5−1−51+51−51+5−2i2−2i22i22i200000000000000000000000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ10300000000000000000
χ6144-4-4400−1+5−1−5-4-44−1+51−5−1−51+51−51+500−1+5−1−50000−1+51−5−1−51+51−51+52i22i2−2i2−2i200000000000000000000000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ10300000000000000000
χ6244-4-4-2004422-24-44-4-4-400-2-20000-22-2222000000000000000000000002222−22−2200000000−2−2220000000000000
χ6344-4-4-2004422-24-44-4-4-400-2-20000-22-222200000000000000000000000−22−2222220000000022−2−20000000000000
χ644-44-444-4−1−5−1+5-44-41+51+51−51−5−1−5−1+54-4−1−5−1+5−1−5−1+51+51−51+51+51−51−5−1−5−1+50000000000000000000−1−51+5−1+51−500000000000000000000000000000
χ654-44-444-4−1+5−1−5-44-41−51−51+51+5−1+5−1−54-4−1+5−1−5−1+5−1−51−51+51−51−51+51+5−1+5−1−50000000000000000000−1+51−5−1−51+500000000000000000000000000000
χ664-44-4-24-4−1−5−1+52-221+51+51−51−5−1−5−1+5-221+521−52−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521−5200000−2i32i30000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ1161+52−1−521−52−1+5200000000000000000000000000000
χ674-44-4-24-4−1−5−1+52-221+51+51−51−5−1−5−1+5-221+521−52−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521−52000002i3−2i30000−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ1161+52−1−521−52−1+5200000000000000000000000000000
χ684-44-4-24-4−1+5−1−52-221−51−51+51+5−1+5−1−5-221−521+52−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521+5200000−2i32i30000ζ4−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+ζ921−52−1+521+52−1−5200000000000000000000000000000
χ694-44-4-24-4−1+5−1−52-221−51−51+51+5−1+5−1−5-221−521+52−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521+52000002i3−2i30000−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−ζ921−52−1+521+52−1−5200000000000000000000000000000
χ704-44-4-2-44442-22-4-4-4-4442-2-2-2-4-4442222-2-200000000000000000002-22-200000000000000000000000000000
χ714-44-4-2-44−1−5−1+52-221+51+51−51−5−1−5−1+52-21+521−521+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521−520000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116ζ28−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−ζ116−1−521+52−1+521−5200000000000000000000000000000
χ724-44-4-2-44−1−5−1+52-221+51+51−51−5−1−5−1+52-21+521−521+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521−5200000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−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+ζ116−1−521+52−1+521−5200000000000000000000000000000
χ734-44-4-2-44−1+5−1−52-221−51−51+51+5−1+5−1−52-21−521+521−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521+5200000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−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−ζ92−1+521−52−1−521+5200000000000000000000000000000
χ744-44-4-2-44−1+5−1−52-221−51−51+51+5−1+5−1−52-21−521+521−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521+520000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92ζ4+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+ζ92−1+521−52−1−521+5200000000000000000000000000000
χ754-4-44400−1−5−1+54-4-41+5−1−51−5−1+51+51−500−1−5−1+500001+5−1−51−5−1+51+51−5−2i22i22i2−2i200000000000000000000000ζ7+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
χ764-4-44400−1−5−1+54-4-41+5−1−51−5−1+51+51−500−1−5−1+500001+5−1−51−5−1+51+51−52i2−2i2−2i22i200000000000000000000000−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
χ774-4-44400−1+5−1−54-4-41−5−1+51+5−1−51−51+500−1+5−1−500001−5−1+51+5−1−51−51+5−2i22i22i2−2i200000000000000000000000ζ29+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+ζ10300000000000000000
χ784-4-44400−1+5−1−54-4-41−5−1+51+5−1−51−51+500−1+5−1−500001−5−1+51+5−1−51−51+52i2−2i2−2i22i200000000000000000000000−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−ζ10300000000000000000
χ794-4-44-20044-222-44-44-4-400-2-200002-22-22200000000000000000000000−2i22i22i2−2i200000000i2−i2−i2i20000000000000
χ804-4-44-20044-222-44-44-4-400-2-200002-22-222000000000000000000000002i2−2i2−2i22i200000000−i2i2i2−i20000000000000
χ8188-8-8-400−2−25−2+2544-4−2−252+25−2+252−252+252−25001+51−500001+5−1−51−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000
χ8288-8-8-400−2+25−2−2544-4−2+252−25−2−252+252−252+25001−51+500001−5−1+51+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000000
χ838-8-88-400−2−25−2+25-4442+25−2−252−25−2+252+252−25001+51−50000−1−51+5−1+51−5−1−5−1+50000000000000000000000000000000000000000000000000000
χ848-8-88-400−2+25−2−25-4442−25−2+252+25−2−252−252+25001−51+50000−1+51−5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000000000

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