Finite Group Databasebeta

← Group #14278555

Character table — Group #14278555

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size112224444448888881010101016161616162020404040404040404080112224444448888881010101016161616162020404040404040404080112224444448888881010101016161616162020404040404040404080
order12244445101010202020202020888842020202088161616161616161643661212121215303030606060606060242424241260606060242448484848484848481236612121212153030306060606060602424242412606060602424484848484848484812
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-11
χ3111111111111111111111-1-1-1-1-1111111-1-1-1-1-1111111111111111111111-1-1-1-1-1111111-1-1-1-1-1111111111111111111111-1-1-1-1-1111111-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-111-1-1-1-11111-1111111111111111111111-1-1-1-1-111-1-1-1-11111-1111111111111111111111-1-1-1-1-111-1-1-1-11111-1
χ511111111111111111-1-1-1-111111-1-1ii−i−iii−i−i-111111111111111111-1-1-1-111111-1-1ii−i−iii−i−i-111111111111111111-1-1-1-111111-1-1ii−i−iii−i−i-1
χ611111111111111111-1-1-1-111111-1-1−i−iii−i−iii-111111111111111111-1-1-1-111111-1-1−i−iii−i−iii-111111111111111111-1-1-1-111111-1-1−i−iii−i−iii-1
χ711111111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii111111111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii111111111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i111111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1
χ922222-2-2222222-2-2-2-222-2-2000002-200000000022222-2-2222222-2-2-2-222-2-2000002-200000000022222-2-2222222-2-2-2-222-2-2000002-2000000000
χ1022222-2-2222222-2-2-2-2-2-22200000-2200000000022222-2-2222222-2-2-2-2-2-22200000-2200000000022222-2-2222222-2-2-2-2-2-22200000-22000000000
χ1122-22-20022-2-22-200000022000000-2i2−i2i2−i20000022-22-20022-2-22-200000022000000-2i2−i2i2−i20000022-22-20022-2-22-200000022000000-2i2−i2i2−i200000
χ1222-22-20022-2-22-200000022000000-2−i2i2−i2i20000022-22-20022-2-22-200000022000000-2−i2i2−i2i20000022-22-20022-2-22-200000022000000-2−i2i2−i2i200000
χ1322-22-20022-2-22-2000000-2-200000022−2−220000022-22-20022-2-22-2000000-2-200000022−2−220000022-22-20022-2-22-2000000-2-200000022−2−2200000
χ1422-22-20022-2-22-2000000-2-20000002−222−20000022-22-20022-2-22-2000000-2-20000002−222−20000022-22-20022-2-22-2000000-2-20000002−222−200000
χ1522-2-220022-2-2-220000220000000-200000i2−i2i2−i2022-2-220022-2-2-220000220000000-200000i2−i2i2−i2022-2-220022-2-2-220000220000000-200000i2−i2i2−i20
χ1622-2-220022-2-2-220000220000000-200000−i2i2−i2i2022-2-220022-2-2-220000220000000-200000−i2i2−i2i2022-2-220022-2-2-220000220000000-200000−i2i2−i2i20
χ1722-2-220022-2-2-220000-2-200000002000002−2−22022-2-220022-2-2-220000-2-200000002000002−2−22022-2-220022-2-2-220000-2-200000002000002−2−220
χ1822-2-220022-2-2-220000-2-20000000200000−222−2022-2-220022-2-2-220000-2-20000000200000−222−2022-2-220022-2-2-220000-2-20000000200000−222−20
χ194444444-1-1-1-1-1-1-1-1-1-100004-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-100004-1-1-1-1000000000004444444-1-1-1-1-1-1-1-1-1-100004-1-1-1-100000000000
χ204444444-1-1-1-1-1-1-1-1-1-10000-41111000000000004444444-1-1-1-1-1-1-1-1-1-10000-41111000000000004444444-1-1-1-1-1-1-1-1-1-10000-4111100000000000
χ2144444-4-4-1-1-1-1-1-111110000055−5−50000000000044444-4-4-1-1-1-1-1-111110000055−5−50000000000044444-4-4-1-1-1-1-1-111110000055−5−500000000000
χ2244444-4-4-1-1-1-1-1-1111100000−5−5550000000000044444-4-4-1-1-1-1-1-1111100000−5−5550000000000044444-4-4-1-1-1-1-1-1111100000−5−55500000000000
χ23444-4-4004444-4-4000000000000000000000000444-4-4004444-4-4000000000000000000000000444-4-4004444-4-4000000000000000000000000
χ24444-4-400-1-1-1-11155−5−500000ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ11600000000000444-4-400-1-1-1-11155−5−500000ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ11600000000000444-4-400-1-1-1-11155−5−500000ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ11600000000000
χ25444-4-400-1-1-1-11155−5−500000−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ11600000000000444-4-400-1-1-1-11155−5−500000−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ11600000000000444-4-400-1-1-1-11155−5−500000−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ11600000000000
χ26444-4-400-1-1-1-111−5−55500000−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ11600000000000444-4-400-1-1-1-111−5−55500000−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ11600000000000444-4-400-1-1-1-111−5−55500000−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ11600000000000
χ27444-4-400-1-1-1-111−5−55500000ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ11600000000000444-4-400-1-1-1-111−5−55500000ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ11600000000000444-4-400-1-1-1-111−5−55500000ζ4+ζ28+ζ44−ζ52+ζ68−ζ76−ζ92−ζ116−ζ4−ζ28−ζ44+ζ52−ζ68+ζ76+ζ92+ζ116ζ4−ζ28+ζ44+ζ52−ζ68−ζ76+ζ92−ζ116−ζ4+ζ28−ζ44−ζ52+ζ68+ζ76−ζ92+ζ11600000000000
χ284-40002i−2i4-400002i−2i2i−2i2i2−2i222−2200000000000000004-40002i−2i4-400002i−2i2i−2i2i2−2i222−2200000000000000004-40002i−2i4-400002i−2i2i−2i2i2−2i222−220000000000000000
χ294-40002i−2i4-400002i−2i2i−2i−2i22i2−222200000000000000004-40002i−2i4-400002i−2i2i−2i−2i22i2−222200000000000000004-40002i−2i4-400002i−2i2i−2i−2i22i2−22220000000000000000
χ304-4000−2i2i4-40000−2i2i−2i2i2i2−2i2−222200000000000000004-4000−2i2i4-40000−2i2i−2i2i2i2−2i2−222200000000000000004-4000−2i2i4-40000−2i2i−2i2i2i2−2i2−22220000000000000000
χ314-4000−2i2i4-40000−2i2i−2i2i−2i22i222−2200000000000000004-4000−2i2i4-40000−2i2i−2i2i−2i22i222−2200000000000000004-4000−2i2i4-40000−2i2i−2i2i−2i22i222−220000000000000000
χ3288-88-800-2-222-2200000000000000000000000088-88-800-2-222-2200000000000000000000000088-88-800-2-222-22000000000000000000000000
χ3388-8-8800-2-2222-200000000000000000000000088-8-8800-2-2222-200000000000000000000000088-8-8800-2-2222-2000000000000000000000000
χ348-80004i−4i-2225−2500−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94000000000000000000008-80004i−4i-2225−2500−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94000000000000000000008-80004i−4i-2225−2500−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400000000000000000000
χ358-80004i−4i-22−252500−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000008-80004i−4i-22−252500−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118000000000000000000008-80004i−4i-22−252500−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800000000000000000000
χ368-8000−4i4i-2225−25002ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94000000000000000000008-8000−4i4i-2225−25002ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ94000000000000000000008-8000−4i4i-2225−25002ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ9400000000000000000000
χ378-8000−4i4i-22−2525002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118000000000000000000008-8000−4i4i-22−2525002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ118000000000000000000008-8000−4i4i-22−2525002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800000000000000000000
χ381111111111111111111111111111111111111−1+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+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−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
χ391111111111111111111111111111-1-1-1-1-1-1-1-11−1+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−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−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+i321+i321+i32−1−i32
χ40111111111111111111111-1-1-1-1-1111111-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ41111111111111111111111-1-1-1-1-111-1-1-1-11111-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32
χ4211111111111111111-1-1-1-111111-1-1ii−i−iii−i−i-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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ1181−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+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ861+i32
χ4311111111111111111-1-1-1-111111-1-1−i−iii−i−iii-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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−ζ1181−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+i32−1−i32−1−i32−1−i32−1−i32−1−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−ζ861+i32
χ4411111111111111111-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1−1+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−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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−ζ86−1−i32
χ4511111111111111111-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1−1+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−i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+ζ86−1−i32
χ4622222-2-2222222-2-2-2-222-2-2000002-2000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i300000−1+i31−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i300000−1−i31+i3000000000
χ4722222-2-2222222-2-2-2-2-2-22200000-22000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3000001−i3−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3000001+i3−1−i3000000000
χ4822-22-20022-2-22-200000022000000-2i2−i2i2−i200000−1+i3−1+i31−i3−1+i31−i300−1+i3−1+i31−i31−i3−1+i31−i3000000−1+i3−1+i30000001−i3−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ10900000−1−i3−1−i31+i3−1−i31+i300−1−i3−1−i31+i31+i3−1−i31+i3000000−1−i3−1−i30000001+i3−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ11900000
χ4922-22-20022-2-22-200000022000000-2−i2i2−i2i200000−1+i3−1+i31−i3−1+i31−i300−1+i3−1+i31−i31−i3−1+i31−i3000000−1+i3−1+i30000001−i3ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ10900000−1−i3−1−i31+i3−1−i31+i300−1−i3−1−i31+i31+i3−1−i31+i3000000−1−i3−1−i30000001+i3ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ11900000
χ5022-22-20022-2-22-2000000-2-200000022−2−2200000−1+i3−1+i31−i3−1+i31−i300−1+i3−1+i31−i31−i3−1+i31−i30000001−i31−i3000000−1+i3−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ10900000−1−i3−1−i31+i3−1−i31+i300−1−i3−1−i31+i31+i3−1−i31+i30000001+i31+i3000000−1−i3−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ11900000
χ5122-22-20022-2-22-2000000-2-20000002−222−200000−1+i3−1+i31−i3−1+i31−i300−1+i3−1+i31−i31−i3−1+i31−i30000001−i31−i3000000−1+i3ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ10900000−1−i3−1−i31+i3−1−i31+i300−1−i3−1−i31+i31+i3−1−i31+i30000001+i31+i3000000−1−i3ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ11900000
χ5222-2-220022-2-2-220000220000000-200000i2−i2i2−i20−1+i3−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i3−1+i30000−1+i3−1+i300000001−i300000−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ1090−1−i3−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i3−1−i30000−1−i3−1−i300000001+i300000−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ1190
χ5322-2-220022-2-2-220000220000000-200000−i2i2−i2i20−1+i3−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i3−1+i30000−1+i3−1+i300000001−i300000ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ1090−1−i3−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i3−1−i30000−1−i3−1−i300000001+i300000ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ1190
χ5422-2-220022-2-2-220000-2-200000002000002−2−220−1+i3−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i3−1+i300001−i31−i30000000−1+i300000−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ1090−1−i3−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i3−1−i300001+i31+i30000000−1−i300000−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ1190
χ5522-2-220022-2-2-220000-2-20000000200000−222−20−1+i3−1+i31−i31−i3−1+i300−1+i3−1+i31−i31−i31−i3−1+i300001−i31−i30000000−1+i300000ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ1090−1−i3−1−i31+i31+i3−1−i300−1−i3−1−i31+i31+i31+i3−1−i300001+i31+i30000000−1−i300000ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ1190
χ564444444-1-1-1-1-1-1-1-1-1-100004-1-1-1-100000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000−2+2i31−i321−i321−i321−i3200000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000−2−2i31+i321+i321+i321+i3200000000000
χ574444444-1-1-1-1-1-1-1-1-1-10000-4111100000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200002−2i3−1+i32−1+i32−1+i32−1+i3200000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200002+2i3−1−i32−1−i32−1−i32−1−i3200000000000
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χ60444-4-4004444-4-4000000000000000000000000−2+2i3−2+2i3−2+2i32−2i32−2i300−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3000000000000000000000000−2−2i3−2−2i3−2−2i32+2i32+2i300−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3000000000000000000000000
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χ1088-80004i−4i-2225−2500−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400000000000000000000−4−4i34+4i3000−4ζ14−4ζ38−4ζ62−4ζ864ζ14+4ζ38+4ζ62+4ζ861+i3−1−i3−2ζ44+2ζ68+2ζ92−2ζ1162ζ44−2ζ68−2ζ92+2ζ116002ζ38+2ζ62−2ζ38−2ζ622ζ14+2ζ86−2ζ14−2ζ8600000000000000000000−4+4i34−4i3000−4ζ22−4ζ46−4ζ94−4ζ1184ζ22+4ζ46+4ζ94+4ζ1181−i3−1+i3−2ζ4+2ζ28+2ζ52−2ζ762ζ4−2ζ28−2ζ52+2ζ76002ζ22+2ζ118−2ζ22−2ζ1182ζ46+2ζ94−2ζ46−2ζ9400000000000000000000
χ1098-80004i−4i-22−252500−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800000000000000000000−4−4i34+4i3000−4ζ14−4ζ38−4ζ62−4ζ864ζ14+4ζ38+4ζ62+4ζ861+i3−1−i32ζ44−2ζ68−2ζ92+2ζ116−2ζ44+2ζ68+2ζ92−2ζ116002ζ14+2ζ86−2ζ14−2ζ862ζ38+2ζ62−2ζ38−2ζ6200000000000000000000−4+4i34−4i3000−4ζ22−4ζ46−4ζ94−4ζ1184ζ22+4ζ46+4ζ94+4ζ1181−i3−1+i32ζ4−2ζ28−2ζ52+2ζ76−2ζ4+2ζ28+2ζ52−2ζ76002ζ46+2ζ94−2ζ46−2ζ942ζ22+2ζ118−2ζ22−2ζ11800000000000000000000
χ1108-8000−4i4i-2225−25002ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ9400000000000000000000−4−4i34+4i30004ζ14+4ζ38+4ζ62+4ζ86−4ζ14−4ζ38−4ζ62−4ζ861+i3−1−i3−2ζ44+2ζ68+2ζ92−2ζ1162ζ44−2ζ68−2ζ92+2ζ11600−2ζ38−2ζ622ζ38+2ζ62−2ζ14−2ζ862ζ14+2ζ8600000000000000000000−4+4i34−4i30004ζ22+4ζ46+4ζ94+4ζ118−4ζ22−4ζ46−4ζ94−4ζ1181−i3−1+i3−2ζ4+2ζ28+2ζ52−2ζ762ζ4−2ζ28−2ζ52+2ζ7600−2ζ22−2ζ1182ζ22+2ζ118−2ζ46−2ζ942ζ46+2ζ9400000000000000000000
χ1118-8000−4i4i-22−2525002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800000000000000000000−4−4i34+4i30004ζ14+4ζ38+4ζ62+4ζ86−4ζ14−4ζ38−4ζ62−4ζ861+i3−1−i32ζ44−2ζ68−2ζ92+2ζ116−2ζ44+2ζ68+2ζ92−2ζ11600−2ζ14−2ζ862ζ14+2ζ86−2ζ38−2ζ622ζ38+2ζ6200000000000000000000−4+4i34−4i30004ζ22+4ζ46+4ζ94+4ζ118−4ζ22−4ζ46−4ζ94−4ζ1181−i3−1+i32ζ4−2ζ28−2ζ52+2ζ76−2ζ4+2ζ28+2ζ52−2ζ7600−2ζ46−2ζ942ζ46+2ζ94−2ζ22−2ζ1182ζ22+2ζ11800000000000000000000

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