Finite Group Databasebeta

← Group #14512969

Character table — Group #14512969

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size112222222444444668812121212121616161616161616161616161616161616161620202424242424243030484848484848484860606060606060120160160
order1245588101020204040404024368101020201215152424303060606060120120120120120120120120242488404088101020204040404022444488612
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111
χ31111111111111111111111111111111111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1
χ511111-1-11111-1-1-1-11111-11111111-1-1111111-1-1-1-1-1-1-1-11-11-11-1-1-1-1-111-1-111-1-1-1-11-111-111-1
χ611111-1-11111-1-1-1-11111-11111111-1-1111111-1-1-1-1-1-1-1-11-1-11-11-1-111-1-111-1-111-1111-1-11-11-1
χ711111-1-11111-1-1-1-11111-11111111-1-1111111-1-1-1-1-1-1-1-1-111-11-1-1-11111-1-111-1-111-11-1-11-1-11
χ811111-1-11111-1-1-1-11111-11111111-1-1111111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-1-1-111-1-1111-1-1-111-11-11
χ922222222222222222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022000000000020200000-1-1
χ1022222222222222222-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000220000000000-20-20000011
χ1122222-2-22222-2-2-2-222-1-1-22222-1-1-111-1-1-1-1-1-1111111112-20000-2-20000000000-20200000-11
χ1222222-2-22222-2-2-2-222-1-1-22222-1-1-111-1-1-1-1-1-111111111-220000-2-2000000000020-2000001-1
χ13222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002222−1−52−1+5200−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ14222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52−1−52−1+522−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-2-2-2−1−52−1+52001+521−521+521−521+521−521+521−520000000000
χ15222−1−52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−522222-2−1−52−1+52−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52002-22-21+521−5200−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ16222−1−52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−522222-2−1−52−1+52−1−52−1+522−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200-22-221+521−52001+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ17222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002222−1+52−1−5200−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ18222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52−1+52−1−522−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-2−1+52−1−52001−521+521−521+521−521+521−521+520000000000
χ19222−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+522222-2−1+52−1−52−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52002-22-21−521+5200−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ20222−1+52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+522222-2−1+52−1−52−1+52−1−522−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200-22-221−521+52001−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ2122-2220022-2-20000-22220-2-222-2220022-2-2-2-2000000000000000022000000000-20200-2000
χ2222-2220022-2-20000-22220-2-222-2220022-2-2-2-20000000000000000-2-200000000020-2002000
χ23333333333333333-1-100-1-1-1-1-100000000000000000003311-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1100
χ24333333333333333-1-100-1-1-1-1-1000000000000000000033-1-111-1-111-1-1-1-11111-1-1-1-1111-100
χ25333333333333333-1-100-1-1-1-1-10000000000000000000-3-311-1-1-1-1111111-1-1-1-11-11-1111-100
χ26333333333333333-1-100-1-1-1-1-10000000000000000000-3-3-1-111-1-1-1-1-1-1-1-111111111-1-1-1100
χ2733333-3-33333-3-3-3-3-1-1001-1-1-1-100000000000000000003-31-1-11111111-1-1-1-1111-1-1-1-1-11100
χ2833333-3-33333-3-3-3-3-1-1001-1-1-1-100000000000000000003-3-111-111-1-1-1-11111-1-111-1111-1-100
χ2933333-3-33333-3-3-3-3-1-1001-1-1-1-10000000000000000000-331-1-1111-1-111-1-1-1-111-111111-1-100
χ3033333-3-33333-3-3-3-3-1-1001-1-1-1-10000000000000000000-33-111-11111-1-11111-1-1-1-11-1-1-11100
χ31444−1−5−1+544−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+544-2-24−1−5−1+5−1−5−1+5-21+521−52-2-21+521−521+521+521−521−521+521+521+521+521−521−521−521−52000000−1−5−1+500000000000000000000
χ32444−1−5−1+5-4-4−1−5−1+5−1−5−1+51+51+51−51−544-2-2-4−1−5−1+5−1−5−1+5-21+521−52221+521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000001+51−500000000000000000000
χ33444−1+5−1−544−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−544-2-24−1+5−1−5−1+5−1−5-21−521+52-2-21−521+521−521−521+521+521−521−521−521−521+521+521+521+52000000−1+5−1−500000000000000000000
χ34444−1+5−1−5-4-4−1+5−1−5−1+5−1−51−51−51+51+544-2-2-4−1+5−1−5−1+5−1−5-21−521+52221−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000001−51+500000000000000000000
χ3544-4440044-4-40000-44-2-20-4-4442-2-200-2-22222000000000000000000000000000000000000
χ3644-4−1−5−1+500−1−5−1+51+51−50000-444401+51−5−1−5−1+5-4−1−5−1+500−1−5−1+51+51+51−51−5000000000000000000000000000000000000
χ3744-4−1−5−1+500−1−5−1+51+51−50000-44-2-201+51−5−1−5−1+521+521−52001+521−52−1−52−1−52−1+52−1+52ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ940000000000000000000000000000
χ3844-4−1−5−1+500−1−5−1+51+51−50000-44-2-201+51−5−1−5−1+521+521−52001+521−52−1−52−1−52−1+52−1+52−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ940000000000000000000000000000
χ3944-4−1+5−1−500−1+5−1−51−51+50000-444401−51+5−1+5−1−5-4−1+5−1−500−1+5−1−51−51−51+51+5000000000000000000000000000000000000
χ4044-4−1+5−1−500−1+5−1−51−51+50000-44-2-201−51+5−1+5−1−521−521+52001−521+52−1+52−1+52−1−52−1−52−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ1180000000000000000000000000000
χ4144-4−1+5−1−500−1+5−1−51−51+50000-44-2-201−51+5−1+5−1−521−521+52001−521+52−1+52−1+52−1−52−1−52ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ1180000000000000000000000000000
χ424-4044−2i22i2-4-400−2i22i2−2i22i200-22000000-2-2−i2i2220000−i2i2−i2i2−i2i2−i2i20000000022−220000000000002i−2i0000
χ434-4044−2i22i2-4-400−2i22i2−2i22i200-22000000-2-2−i2i2220000−i2i2−i2i2−i2i2−i2i200000000−2222000000000000−2i2i0000
χ444-40442i2−2i2-4-4002i2−2i22i2−2i200-22000000-2-2i2−i2220000i2−i2i2−i2i2−i2i2−i20000000022−22000000000000−2i2i0000
χ454-40442i2−2i2-4-4002i2−2i22i2−2i200-22000000-2-2i2−i2220000i2−i2i2−i2i2−i2i2−i200000000−22220000000000002i−2i0000
χ46666−3−352−3+35266−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-200-21+521−521+521−5200000000000000000000022-2-21+521−5200−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ47666−3−352−3+35266−3−352−3+352−3−352−3+352−3−352−3−352−3+352−3+352-2-200-21+521−521+521−52000000000000000000000-2-2221+521−52001+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ48666−3−352−3+352-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-20021+521−521+521−520000000000000000000002-2-22−1−52−1+5200−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ49666−3−352−3+352-6-6−3−352−3+352−3−352−3+3523+3523+3523−3523−352-2-20021+521−521+521−52000000000000000000000-222-2−1−52−1+52001+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ50666−3+352−3−35266−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-200-21−521+521−521+5200000000000000000000022-2-21−521+5200−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ51666−3+352−3−35266−3+352−3−352−3+352−3−352−3+352−3+352−3−352−3−352-2-200-21−521+521−521+52000000000000000000000-2-2221−521+52001−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ52666−3+352−3−352-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-20021−521+521−521+520000000000000000000002-2-22−1+52−1−5200−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ53666−3+352−3−352-6-6−3+352−3−352−3+352−3−3523−3523−3523+3523+352-2-20021−521+521−521+52000000000000000000000-222-2−1+52−1−52001−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ5466-6660066-6-600002-200022-2-20000000000000000000000000002200000000020-200-2000
χ5566-6660066-6-600002-200022-2-2000000000000000000000000000-2-2000000000-202002000
χ568-8088−4i24i2-8-800−4i24i2−4i24i2002-200000022i2−i2-2-20000i2−i2i2−i2i2−i2i2−i20000000000000000000000000000
χ578-80884i2−4i2-8-8004i2−4i24i2−4i2002-200000022−i2i2-2-20000−i2i2−i2i2−i2i2−i2i20000000000000000000000000000
χ588-80−2−25−2+25−4i24i22+252−25002ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ119002-2000000−1−52−1+52i2−i21+521−52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ7−ζ13−ζ23−ζ77ζ7+ζ13+ζ23+ζ77−ζ37−ζ47−ζ53−ζ103ζ37+ζ47+ζ53+ζ103−ζ29−ζ61−ζ71−ζ79ζ29+ζ61+ζ71+ζ79−ζ31−ζ101−ζ109−ζ119ζ31+ζ101+ζ109+ζ1190000000000000000000000000000
χ598-80−2−25−2+25−4i24i22+252−25002ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ119002-2000000−1−52−1+52i2−i21+521−52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ37−ζ47−ζ53−ζ103ζ37+ζ47+ζ53+ζ103−ζ7−ζ13−ζ23−ζ77ζ7+ζ13+ζ23+ζ77−ζ31−ζ101−ζ109−ζ119ζ31+ζ101+ζ109+ζ119−ζ29−ζ61−ζ71−ζ79ζ29+ζ61+ζ71+ζ790000000000000000000000000000
χ608-80−2−25−2+25−4i24i22+252−25002ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ11900-440000001+51−5−2i22i2−1−5−1+50000ζ7+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−ζ1190000000000000000000000000000
χ618-80−2−25−2+254i2−4i22+252−2500−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119002-2000000−1−52−1+52−i2i21+521−52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ7+ζ13+ζ23+ζ77−ζ7−ζ13−ζ23−ζ77ζ37+ζ47+ζ53+ζ103−ζ37−ζ47−ζ53−ζ103ζ29+ζ61+ζ71+ζ79−ζ29−ζ61−ζ71−ζ79ζ31+ζ101+ζ109+ζ119−ζ31−ζ101−ζ109−ζ1190000000000000000000000000000
χ628-80−2−25−2+254i2−4i22+252−2500−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119002-2000000−1−52−1+52−i2i21+521−52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ37+ζ47+ζ53+ζ103−ζ37−ζ47−ζ53−ζ103ζ7+ζ13+ζ23+ζ77−ζ7−ζ13−ζ23−ζ77ζ31+ζ101+ζ109+ζ119−ζ31−ζ101−ζ109−ζ119ζ29+ζ61+ζ71+ζ79−ζ29−ζ61−ζ71−ζ790000000000000000000000000000
χ638-80−2−25−2+254i2−4i22+252−2500−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ11900-440000001+51−52i2−2i2−1−5−1+50000−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+ζ1190000000000000000000000000000
χ648-80−2+25−2−25−4i24i22−252+25002ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ103002-2000000−1+52−1−52i2−i21−521+52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ29−ζ61−ζ71−ζ79ζ29+ζ61+ζ71+ζ79−ζ31−ζ101−ζ109−ζ119ζ31+ζ101+ζ109+ζ119−ζ37−ζ47−ζ53−ζ103ζ37+ζ47+ζ53+ζ103−ζ7−ζ13−ζ23−ζ77ζ7+ζ13+ζ23+ζ770000000000000000000000000000
χ658-80−2+25−2−25−4i24i22−252+25002ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ103002-2000000−1+52−1−52i2−i21−521+52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ31−ζ101−ζ109−ζ119ζ31+ζ101+ζ109+ζ119−ζ29−ζ61−ζ71−ζ79ζ29+ζ61+ζ71+ζ79−ζ7−ζ13−ζ23−ζ77ζ7+ζ13+ζ23+ζ77−ζ37−ζ47−ζ53−ζ103ζ37+ζ47+ζ53+ζ1030000000000000000000000000000
χ668-80−2+25−2−25−4i24i22−252+25002ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ10300-440000001−51+5−2i22i2−1+5−1−50000ζ29+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−ζ1030000000000000000000000000000
χ678-80−2+25−2−254i2−4i22−252+2500−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103002-2000000−1+52−1−52−i2i21−521+52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ29+ζ61+ζ71+ζ79−ζ29−ζ61−ζ71−ζ79ζ31+ζ101+ζ109+ζ119−ζ31−ζ101−ζ109−ζ119ζ37+ζ47+ζ53+ζ103−ζ37−ζ47−ζ53−ζ103ζ7+ζ13+ζ23+ζ77−ζ7−ζ13−ζ23−ζ770000000000000000000000000000
χ688-80−2+25−2−254i2−4i22−252+2500−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103002-2000000−1+52−1−52−i2i21−521+52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ31+ζ101+ζ109+ζ119−ζ31−ζ101−ζ109−ζ119ζ29+ζ61+ζ71+ζ79−ζ29−ζ61−ζ71−ζ79ζ7+ζ13+ζ23+ζ77−ζ7−ζ13−ζ23−ζ77ζ37+ζ47+ζ53+ζ103−ζ37−ζ47−ζ53−ζ1030000000000000000000000000000
χ698-80−2+25−2−254i2−4i22−252+2500−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ10300-440000001−51+52i2−2i2−1+5−1−50000−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+ζ1030000000000000000000000000000
χ701212-12−3−35−3+3500−3−35−3+353+353−3500004-4000−1−5−1+51+51−500000000000000000000000000000000000000000000000
χ711212-12−3+35−3−3500−3+35−3−353−353+3500004-4000−1+5−1−51−51+500000000000000000000000000000000000000000000000

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