Finite Group Databasebeta

← Group #13085751

Character table — Group #13085751

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112222222222233444444444444444444466666666688888888881010101010101212121212121212121212121212122020202020202424242424303030303030363636363660120180
order12334556610101212443612121215151515202030303030606060602661212202020201515303060606060606088242424244101020202020303030306060606024242424242412606060608824242424210101010264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-111-1-1-1-111111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111-1-1-1-1-1-111111-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-11
χ71111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11
χ81111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1
χ922222−1−52−1+5222−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000002−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000002−1−52−1−52−1+52−1+520000002−1−52−1−52−1+52−1+52000
χ1022222−1−52−1+5222−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-21+521+521−521−52000000-21+521+521−521−52000
χ1122222−1−52−1+5222−1−52−1+5222-2-222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000021+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000002−1−52−1−52−1+52−1+52000000-21+521+521−521−52000
χ1222222−1−52−1+5222−1−52−1+5222-2-222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-21+521−521+521+521−521−521+521+521−521−521+521+521−521−52000000-21+521+521−521−520000002−1−52−1−52−1+52−1+52000
χ1322222−1+52−1−5222−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000002−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000002−1+52−1+52−1−52−1−520000002−1+52−1+52−1−52−1−52000
χ1422222−1+52−1−5222−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-21−521−521+521+52000000-21−521−521+521+52000
χ1522222−1+52−1−5222−1+52−1−5222-2-222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000021−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000002−1+52−1+52−1−52−1−52000000-21−521−521+521+52000
χ1622222−1+52−1−5222−1+52−1−5222-2-222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-21−521+521−521−521+521+521−521−521+521+521−521−521+521+52000000-21−521−521+521+520000002−1+52−1+52−1−52−1−52000
χ172222-2222222-2-22222-2-2-22222-2-22222-2-2-2-2-2-2-22222222222-2-2-2-2-2-20000000-2-20000-2-2-2-222220000000000000000000000000
χ182222-2222222-2-2-2-222-2-2-22222-2-22222-2-2-2-2222-2-2-2-2-2-22222-2-2-2-2-2-200000002200002222-2-2-2-20000000000000000000000000
χ192222-2−1−52−1+5222−1−52−1+52-2-22222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−5200000001+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+521+521−521−52−1−52−1−52−1+52−1+520000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000
χ202222-2−1−52−1+5222−1−52−1+52-2-22222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−5200000001+521−52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+521+521−521−52−1−52−1−52−1+52−1+520000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000
χ212222-2−1−52−1+5222−1−52−1+52-2-2-2-222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−520000000−1−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1−52−1+52−1+521+521+521−521−520000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000
χ222222-2−1−52−1+5222−1−52−1+52-2-2-2-222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−520000000−1−52−1+52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1−52−1+52−1+521+521+521−521−520000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000
χ232222-2−1+52−1−5222−1+52−1−52-2-22222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521−521+521+5200000001−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−521−521+521+52−1+52−1+52−1−52−1−520000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000
χ242222-2−1+52−1−5222−1+52−1−52-2-22222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521−521+521+5200000001−521+52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−521−521+521+52−1+52−1+52−1−52−1−520000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000
χ252222-2−1+52−1−5222−1+52−1−52-2-2-2-222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+520000000−1+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1+52−1−52−1−521−521−521+521+520000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000
χ262222-2−1+52−1−5222−1+52−1−52-2-2-2-222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+520000000−1+52−1−52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+52−1+52−1−52−1−521−521−521+521+520000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000
χ27222-12222-1222200-1-1-1-1-1-1-1222222-1-12222000000000-1-1-1-1-1-1-1-1-1-1222222200222200000000-1-1-1-1-1-1-1-1-1-1-1000000000002-10
χ28222-12222-1222200-1-1-1-1-1-1-1222222-1-12222000000000-1-1-1-1-1-1-1-1-1-1222222-200-2-2-2-200000000-1-1-1-1-1-11111100000000000-210
χ29222-12222-1222200-1-1-1-1-1-1-1222222-1-12222000000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2200222200000000111111-1-1-1-1-100000000000-210
χ30222-12222-1222200-1-1-1-1-1-1-1222222-1-12222000000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-200-2-2-2-20000000011111111111000000000002-10
χ3122-12222-1222-1-122-1-12-1-122-1-122-1-122-1-1-1-12-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-10220000-1-1-1-1-1-1-1-122-1-1-1-10000022-1-1-1-100000000
χ3222-12222-1222-1-122-1-12-1-122-1-122-1-122-1-1-1-12-1-1-1-12222-1-1-1-122-1-1-1-1-2-211110220000-1-1-1-1-1-1-1-1-2-2111100000-2-2111100000000
χ3322-12222-1222-1-1-2-2-1-12-1-122-1-122-1-122-1-1-1-1-21111-2-2-2-2-1-1-1-122-1-1-1-122-1-1-1-10-2-200001111111122-1-1-1-100000-2-2111100000000
χ3422-12222-1222-1-1-2-2-1-12-1-122-1-122-1-122-1-1-1-1-21111-2-2-2-2-1-1-1-122-1-1-1-1-2-211110-2-2000011111111-2-211110000022-1-1-1-100000000
χ3522-12-222-12221122-1-1-21122-1-1-2-2-1-1221111-211-1-12222-1-1-1-1-2-211110033−3−30-2-200001111-1-1-1-10033−3−3000000033−3−300000000
χ3622-12-222-12221122-1-1-21122-1-1-2-2-1-1221111-211-1-12222-1-1-1-1-2-2111100−3−3330-2-200001111-1-1-1-100−3−3330000000−3−33300000000
χ3722-12-222-122211-2-2-1-1-21122-1-1-2-2-1-12211112-1-111-2-2-2-2-1-1-1-1-2-211110033−3−30220000-1-1-1-111110033−3−30000000−3−33300000000
χ3822-12-222-122211-2-2-1-1-21122-1-1-2-2-1-12211112-1-111-2-2-2-2-1-1-1-1-2-2111100−3−3330220000-1-1-1-1111100−3−333000000033−3−300000000
χ392-222022-2-2-2-2002i−2i2-2000222200-2-2-2-200000002i−2i2i−2i2i−2i22-2-2000000−i2i2−i2i2−i2i2000000000002i−2i2i−2i−i2i2−i2i2−i2i2000002−22−22−200000000
χ402-222022-2-2-2-2002i−2i2-2000222200-2-2-2-200000002i−2i2i−2i2i−2i22-2-2000000i2−i2i2−i2i2−i2000000000002i−2i2i−2ii2−i2i2−i2i2−i200000−22−22−2200000000
χ412-222022-2-2-2-200−2i2i2-2000222200-2-2-2-20000000−2i2i−2i2i−2i2i22-2-2000000−i2i2−i2i2−i2i200000000000−2i2i−2i2i−i2i2−i2i2−i2i200000−22−22−2200000000
χ422-222022-2-2-2-200−2i2i2-2000222200-2-2-2-20000000−2i2i−2i2i−2i2i22-2-2000000i2−i2i2−i2i2−i200000000000−2i2i−2i2ii2−i2i2−i2i2−i2000002−22−22−200000000
χ432-2-120221-2-2-23−32i−2i-1103−322-1-10011-2-23−33−30−i3i3−ii2i−2i2i−2i-1-111003−33−3−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ1190000000−i3i3−i3i3−ii−ii−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119000002−2ζ13−ζ23+ζ37−ζ47+ζ61−ζ71+ζ109−ζ119−ζ13+ζ23−ζ37+ζ47−ζ61+ζ71−ζ109+ζ119−ζ7+ζ29−ζ31+ζ53+ζ77−ζ79+ζ101−ζ103ζ7−ζ29+ζ31−ζ53−ζ77+ζ79−ζ101+ζ10300000000
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χ824-4-240−1+5−1−52-41−51+523−234i−4i-22023−23−1+5−1−51−521+5200−1+52−1−521−51+5ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180−2i32i3−2i2i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1181−521+52−1+52−1−5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180000000000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1180000000000000000000000000
χ834-4-240−1+5−1−52-41−51+523−23−4i4i-22023−23−1+5−1−51−521+5200−1+52−1−521−51+5ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11802i3−2i32i−2i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1181−521+52−1+52−1−5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180000000000000−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1180000000000000000000000000
χ844-4-240−1+5−1−52-41−51+5−23234i−4i-220−2323−1+5−1−51−521+5200−1+52−1−521−51+5−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11802i3−2i3−2i2i−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ1181−521+52−1+52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000000000−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92ζ14+ζ46+ζ86+ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118−ζ22−ζ38−ζ62−ζ1180000000000000000000000000
χ854-4-240−1+5−1−52-41−51+5−2323−4i4i-220−2323−1+5−1−51−521+5200−1+52−1−521−51+5−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180−2i32i32i−2i2ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1181−521+52−1+52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000000000ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92−ζ14−ζ46−ζ86−ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118ζ22+ζ38+ζ62+ζ1180000000000000000000000000
χ864-4-2-204422-4-423−23001-10−33-2-2-2-200222223−2323−2300000000011-1-100−33−33−2i22i22ζ7+2ζ29+2ζ31+2ζ53+2ζ77+2ζ79+2ζ101+2ζ103−2ζ7−2ζ29−2ζ31−2ζ53−2ζ77−2ζ79−2ζ101−2ζ1032ζ13+2ζ23+2ζ37+2ζ47+2ζ61+2ζ71+2ζ109+2ζ119−2ζ13−2ζ23−2ζ37−2ζ47−2ζ61−2ζ71−2ζ109−2ζ119000000000000000i2−i2−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ1190000000000000000000
χ874-4-2-204422-4-423−23001-10−33-2-2-2-200222223−2323−2300000000011-1-100−33−332i2−2i2−2ζ7−2ζ29−2ζ31−2ζ53−2ζ77−2ζ79−2ζ101−2ζ1032ζ7+2ζ29+2ζ31+2ζ53+2ζ77+2ζ79+2ζ101+2ζ103−2ζ13−2ζ23−2ζ37−2ζ47−2ζ61−2ζ71−2ζ109−2ζ1192ζ13+2ζ23+2ζ37+2ζ47+2ζ61+2ζ71+2ζ109+2ζ119000000000000000−i2i2ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ1190000000000000000000
χ884-4-2-204422-4-4−2323001-103−3-2-2-2-2002222−2323−232300000000011-1-1003−33−3−2i22i22ζ13+2ζ23+2ζ37+2ζ47+2ζ61+2ζ71+2ζ109+2ζ119−2ζ13−2ζ23−2ζ37−2ζ47−2ζ61−2ζ71−2ζ109−2ζ1192ζ7+2ζ29+2ζ31+2ζ53+2ζ77+2ζ79+2ζ101+2ζ103−2ζ7−2ζ29−2ζ31−2ζ53−2ζ77−2ζ79−2ζ101−2ζ103000000000000000i2−i2−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ103ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ1030000000000000000000
χ894-4-2-204422-4-4−2323001-103−3-2-2-2-2002222−2323−232300000000011-1-1003−33−32i2−2i2−2ζ13−2ζ23−2ζ37−2ζ47−2ζ61−2ζ71−2ζ109−2ζ1192ζ13+2ζ23+2ζ37+2ζ47+2ζ61+2ζ71+2ζ109+2ζ119−2ζ7−2ζ29−2ζ31−2ζ53−2ζ77−2ζ79−2ζ101−2ζ1032ζ7+2ζ29+2ζ31+2ζ53+2ζ77+2ζ79+2ζ101+2ζ103000000000000000−i2i2ζ13+ζ23+ζ37+ζ47+ζ61+ζ71+ζ109+ζ119−ζ13−ζ23−ζ37−ζ47−ζ61−ζ71−ζ109−ζ119ζ7+ζ29+ζ31+ζ53+ζ77+ζ79+ζ101+ζ103−ζ7−ζ29−ζ31−ζ53−ζ77−ζ79−ζ101−ζ1030000000000000000000
χ9088-4-48−2−25−2+25-4-4−2−25−2+25-4-40022-4221+51−51+51−5−2−25−2+251+51−51+51−51+51+51−51−5000000000−1−52−1+52−1−52−1+521+51−5−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000
χ9188-4-48−2+25−2−25-4-4−2+25−2−25-4-40022-4221−51+51−51+5−2+25−2−251−51+51−51+51−51−51+51+5000000000−1+52−1−52−1+52−1−521−51+5−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000
χ9288-4-4-8−2−25−2+25-4-4−2−25−2+254400224-2-21+51−51+51−52+252−251+51−51+51−5−1−5−1−5−1+5−1+5000000000−1−52−1+52−1−52−1+52−1−5−1+51+521+521−521−520000000000000000000000000000000000000000000000
χ9388-4-4-8−2+25−2−25-4-4−2+25−2−254400224-2-21−51+51−51+52−252+251−51+51−51+5−1+5−1+5−1−5−1−5000000000−1+52−1−52−1+52−1−52−1+5−1−51−521−521+521+520000000000000000000000000000000000000000000000
χ948-88-40−2−25−2+25-842+252−250000-440001+51−5−2−25−2+25002+252−25−1−5−1+500000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000
χ958-88-40−2+25−2−25-842−252+250000-440001−51+5−2+25−2−25002−252+25−1+5−1−500000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000
χ968-8-4-40−2−25−2+25442+252−2543−43002-20−23231+51−51+51−500−1−5−1+5−1−5−1+5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94000000000−1−52−1+521+521−5200ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ940000000000000000000000000000000000000000000000
χ978-8-4-40−2−25−2+25442+252−25−4343002-2023−231+51−51+51−500−1−5−1+5−1−5−1+52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94000000000−1−52−1+521+521−5200−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ940000000000000000000000000000000000000000000000
χ988-8-4-40−2+25−2−25442−252+2543−43002-20−23231−51+51−51+500−1+5−1−5−1+5−1−52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118000000000−1+52−1−521−521+5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000000000000000000000000000000000000000000
χ998-8-4-40−2+25−2−25442−252+25−4343002-2023−231−51+51−51+500−1+5−1−5−1+5−1−5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118000000000−1+52−1−521−521+5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180000000000000000000000000000000000000000000000

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