Finite Group Databasebeta

← Group #13088743

Character table — Group #13088743

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222244445588888888101010101820203030303030303030303030303636901122224444558888888810101010182020303030303030303030303030363690
order123366356104415151515303030301212121221212888824242424242424241010422666661061044303030303030303012121212212128888242424242424242410104
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111
χ3111111111111111111111111-11111-1-11111-1-1-1-1-1-1-1111111111111111111111111-11111-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111-111-1-111-1-1-1-11111-1-1-1111111111111111111111111-111-1-111-1-1-1-11111-1-1-1
χ51111111111-1-111111111-1-1-1-11-1-1i−ii−iii−i−iii−i−i11-11111111111-1-111111111-1-1-1-11-1-1i−ii−iii−i−iii−i−i11-1
χ61111111111-1-111111111-1-1-1-11-1-1−ii−ii−i−iii−i−iii11-11111111111-1-111111111-1-1-1-11-1-1−ii−ii−i−iii−i−iii11-1
χ71111111111-1-111111111-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii-1-111111111111-1-111111111-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii-1-11
χ81111111111-1-111111111-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i-1-111111111111-1-111111111-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i-1-11
χ9222-12-1-12-12222-1-1-12-1-1-122-1-10-1-100220000-1-1-1-1000222-12-1-12-12222-1-1-12-1-1-122-1-10-1-100220000-1-1-1-1000
χ10222-12-1-12-12222-1-1-12-1-1-122-1-10-1-100-2-200001111000222-12-1-12-12222-1-1-12-1-1-122-1-10-1-100-2-200001111000
χ11222-12-1-12-12-2-22-1-1-12-1-1-1-2-211011002i−2i0000−i−iii000222-12-1-12-12-2-22-1-1-12-1-1-1-2-211011002i−2i0000−i−iii000
χ12222-12-1-12-12-2-22-1-1-12-1-1-1-2-21101100−2i2i0000ii−i−i000222-12-1-12-12-2-22-1-1-12-1-1-1-2-21101100−2i2i0000ii−i−i000
χ1322-12-12-12-1222-12-1-1-12-1-1-1-1220-1-12200-1-1-1-1000000022-12-12-12-1222-12-1-1-12-1-1-1-1220-1-12200-1-1-1-10000000
χ1422-12-12-12-1222-12-1-1-12-1-1-1-1220-1-1-2-2001111000000022-12-12-12-1222-12-1-1-12-1-1-1-1220-1-1-2-20011110000000
χ1522-12-12-12-12-2-2-12-1-1-12-1-111-2-20112i−2i00−i−iii000000022-12-12-12-12-2-2-12-1-1-12-1-111-2-20112i−2i00−i−iii0000000
χ1622-12-12-12-12-2-2-12-1-1-12-1-111-2-2011−2i2i00ii−i−i000000022-12-12-12-12-2-2-12-1-1-12-1-111-2-2011−2i2i00ii−i−i0000000
χ172-222-2-222-2-22i−2i2222-2-2-2-22i−2i2i−2i02i−2i0000000000000002-222-2-222-2-22i−2i2222-2-2-2-22i−2i2i−2i02i−2i000000000000000
χ182-222-2-222-2-2−2i2i2222-2-2-2-2−2i2i−2i2i0−2i2i0000000000000002-222-2-222-2-2−2i2i2222-2-2-2-2−2i2i−2i2i0−2i2i000000000000000
χ192-22-1-21-121-22i−2i2-1-1-1-21112i−2i−ii0−ii00000000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ1190002-22-1-21-121-22i−2i2-1-1-1-21112i−2i−ii0−ii00000000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000
χ202-22-1-21-121-22i−2i2-1-1-1-21112i−2i−ii0−ii00000000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ1190002-22-1-21-121-22i−2i2-1-1-1-21112i−2i−ii0−ii00000000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000
χ212-22-1-21-121-2−2i2i2-1-1-1-2111−2i2ii−i0i−i00000000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ1090002-22-1-21-121-2−2i2i2-1-1-1-2111−2i2ii−i0i−i00000000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000
χ222-22-1-21-121-2−2i2i2-1-1-1-2111−2i2ii−i0i−i00000000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ1090002-22-1-21-121-2−2i2i2-1-1-1-2111−2i2ii−i0i−i00000000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000
χ232-2-121-2-121-22i−2i-12-1-11-211−ii2i−2i0−ii0000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000002-2-121-2-121-22i−2i-12-1-11-211−ii2i−2i0−ii0000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ1090000000
χ242-2-121-2-121-22i−2i-12-1-11-211−ii2i−2i0−ii0000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000002-2-121-2-121-22i−2i-12-1-11-211−ii2i−2i0−ii0000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ1090000000
χ252-2-121-2-121-2−2i2i-12-1-11-211i−i−2i2i0i−i0000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000002-2-121-2-121-2−2i2i-12-1-11-211i−i−2i2i0i−i0000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ1190000000
χ262-2-121-2-121-2−2i2i-12-1-11-211i−i−2i2i0i−i0000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000002-2-121-2-121-2−2i2i-12-1-11-211i−i−2i2i0i−i0000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ1190000000
χ274444444-14-100-1-1-1-1-1-1-1-10000400000000000000-1-104444444-14-100-1-1-1-1-1-1-1-10000400000000000000-1-10
χ284444444-14-100-1-1-1-1-1-1-1-10000-4000000000000001104444444-14-100-1-1-1-1-1-1-1-10000-400000000000000110
χ2944-2-2-2-2141444-2-211-2-211-2-2-2-201100000000000000044-2-2-2-2141444-2-211-2-211-2-2-2-2011000000000000000
χ3044-2-2-2-21414-4-4-2-211-2-21122220-1-100000000000000044-2-2-2-21414-4-4-2-211-2-21122220-1-1000000000000000
χ314-444-4-44-1-4100-1-1-1-111110000000000000000000−5504-444-4-44-1-4100-1-1-1-111110000000000000000000−550
χ324-444-4-44-1-4100-1-1-1-1111100000000000000000005−504-444-4-44-1-4100-1-1-1-1111100000000000000000005−50
χ334-4-2-22214-1-44i−4i-2-21122-1-1−2i2i−2i2i0i−i0000000000000004-4-2-22214-1-44i−4i-2-21122-1-1−2i2i−2i2i0i−i000000000000000
χ344-4-2-22214-1-4−4i4i-2-21122-1-12i−2i2i−2i0−ii0000000000000004-4-2-22214-1-4−4i4i-2-21122-1-12i−2i2i−2i0−ii000000000000000
χ35888-48-4-4-2-4-200-2111-21110000000000000000000000888-48-4-4-2-4-200-2111-21110000000000000000000000
χ3688-48-48-4-2-4-2001-2111-211000000000000000000000088-48-48-4-2-4-2001-2111-2110000000000000000000000
χ3788-4-4-4-42-22-20011−1−352−1+35211−1−352−1+352000000000000000000000088-4-4-4-42-22-20011−1−352−1+35211−1−352−1+3520000000000000000000000
χ3888-4-4-4-42-22-20011−1+352−1−35211−1+352−1−352000000000000000000000088-4-4-4-42-22-20011−1+352−1−35211−1+352−1−3520000000000000000000000
χ398-88-4-84-4-24200-21112-1-1-100000000000000000000008-88-4-84-4-24200-21112-1-1-10000000000000000000000
χ408-8-484-8-4-242001-211-12-1-100000000000000000000008-8-484-8-4-242001-211-12-1-10000000000000000000000
χ418-8-4-4442-2-220011−1−352−1+352-1-11+3521−35200000000000000000000008-8-4-4442-2-220011−1−352−1+352-1-11+3521−3520000000000000000000000
χ428-8-4-4442-2-220011−1+352−1−352-1-11−3521+35200000000000000000000008-8-4-4442-2-220011−1+352−1−352-1-11−3521+3520000000000000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ44111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ45111111111111111111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111
χ46111111111111111111111111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1111
χ471111111111-1-111111111-1-1-1-11-1-1i−ii−iii−i−iii−i−i11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111−ii−ii−i−iii−i−iii-1-11
χ481111111111-1-111111111-1-1-1-11-1-1−ii−ii−i−iii−i−iii11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111i−ii−iii−i−iii−i−i-1-11
χ491111111111-1-111111111-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111−iii−i−i−iiiii−i−i11-1
χ501111111111-1-111111111-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111i−i−iiii−i−i−i−iii11-1
χ51222-12-1-12-12222-1-1-12-1-1-122-1-10-1-100220000-1-1-1-1000-2-2-21-211-21-2-2-2-2111-2111-2-21101100-2-200001111000
χ52222-12-1-12-12222-1-1-12-1-1-122-1-10-1-100-2-200001111000-2-2-21-211-21-2-2-2-2111-2111-2-21101100220000-1-1-1-1000
χ53222-12-1-12-12-2-22-1-1-12-1-1-1-2-211011002i−2i0000−i−iii000-2-2-21-211-21-222-2111-211122-1-10-1-100−2i2i0000ii−i−i000
χ54222-12-1-12-12-2-22-1-1-12-1-1-1-2-21101100−2i2i0000ii−i−i000-2-2-21-211-21-222-2111-211122-1-10-1-1002i−2i0000−i−iii000
χ5522-12-12-12-1222-12-1-1-12-1-1-1-1220-1-12200-1-1-1-10000000-2-21-21-21-21-2-2-21-2111-21111-2-2011-2-20011110000000
χ5622-12-12-12-1222-12-1-1-12-1-1-1-1220-1-1-2-20011110000000-2-21-21-21-21-2-2-21-2111-21111-2-20112200-1-1-1-10000000
χ5722-12-12-12-12-2-2-12-1-1-12-1-111-2-20112i−2i00−i−iii0000000-2-21-21-21-21-2221-2111-211-1-1220-1-1−2i2i00ii−i−i0000000
χ5822-12-12-12-12-2-2-12-1-1-12-1-111-2-2011−2i2i00ii−i−i0000000-2-21-21-21-21-2221-2111-211-1-1220-1-12i−2i00−i−iii0000000
χ592-222-2-222-2-22i−2i2222-2-2-2-22i−2i2i−2i02i−2i000000000000000-22-2-222-2-222−2i2i-2-2-2-22222−2i2i−2i2i0−2i2i000000000000000
χ602-222-2-222-2-2−2i2i2222-2-2-2-2−2i2i−2i2i0−2i2i000000000000000-22-2-222-2-2222i−2i-2-2-2-222222i−2i2i−2i02i−2i000000000000000
χ612-22-1-21-121-22i−2i2-1-1-1-21112i−2i−ii0−ii00000000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000-22-212-11-2-12−2i2i-21112-1-1-1−2i2ii−i0i−i00000000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000
χ622-22-1-21-121-22i−2i2-1-1-1-21112i−2i−ii0−ii00000000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119000-22-212-11-2-12−2i2i-21112-1-1-1−2i2ii−i0i−i00000000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119000
χ632-22-1-21-121-2−2i2i2-1-1-1-2111−2i2ii−i0i−i00000000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000-22-212-11-2-122i−2i-21112-1-1-12i−2i−ii0−ii00000000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000
χ642-22-1-21-121-2−2i2i2-1-1-1-2111−2i2ii−i0i−i00000000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109000-22-212-11-2-122i−2i-21112-1-1-12i−2i−ii0−ii00000000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109000
χ652-2-121-2-121-22i−2i-12-1-11-211−ii2i−2i0−ii0000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ1090000000-221-2-121-2-12−2i2i1-211-12-1-1i−i−2i2i0i−i0000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ1090000000
χ662-2-121-2-121-22i−2i-12-1-11-211−ii2i−2i0−ii0000−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ1090000000-221-2-121-2-12−2i2i1-211-12-1-1i−i−2i2i0i−i0000ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ1090000000
χ672-2-121-2-121-2−2i2i-12-1-11-211i−i−2i2i0i−i0000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ1190000000-221-2-121-2-122i−2i1-211-12-1-1−ii2i−2i0−ii0000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ1190000000
χ682-2-121-2-121-2−2i2i-12-1-11-211i−i−2i2i0i−i0000−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ1190000000-221-2-121-2-122i−2i1-211-12-1-1−ii2i−2i0−ii0000ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ1190000000
χ694444444-14-100-1-1-1-1-1-1-1-10000400000000000000-1-10-4-4-4-4-4-4-41-4100111111110000-400000000000000110
χ704444444-14-100-1-1-1-1-1-1-1-10000-400000000000000110-4-4-4-4-4-4-41-4100111111110000400000000000000-1-10
χ7144-2-2-2-2141444-2-211-2-211-2-2-2-2011000000000000000-4-42222-1-4-1-4-4-422-1-122-1-122220-1-1000000000000000
χ7244-2-2-2-21414-4-4-2-211-2-21122220-1-1000000000000000-4-42222-1-4-1-44422-1-122-1-1-2-2-2-2011000000000000000
χ734-444-4-44-1-4100-1-1-1-111110000000000000000000−550-44-4-444-414-1001111-1-1-1-100000000000000000005−50
χ744-444-4-44-1-4100-1-1-1-1111100000000000000000005−50-44-4-444-414-1001111-1-1-1-10000000000000000000−550
χ754-4-2-22214-1-44i−4i-2-21122-1-1−2i2i−2i2i0i−i000000000000000-4422-2-2-1-414−4i4i22-1-1-2-2112i−2i2i−2i0−ii000000000000000
χ764-4-2-22214-1-4−4i4i-2-21122-1-12i−2i2i−2i0−ii000000000000000-4422-2-2-1-4144i−4i22-1-1-2-211−2i2i−2i2i0i−i000000000000000
χ77888-48-4-4-2-4-200-2111-21110000000000000000000000-8-8-84-844242002-1-1-12-1-1-10000000000000000000000
χ7888-48-48-4-2-4-2001-2111-2110000000000000000000000-8-84-84-8424200-12-1-1-12-1-10000000000000000000000
χ7988-4-4-4-42-22-20011−1−352−1+35211−1−352−1+3520000000000000000000000-8-84444-22-2200-1-11+3521−352-1-11+3521−3520000000000000000000000
χ8088-4-4-4-42-22-20011−1+352−1−35211−1+352−1−3520000000000000000000000-8-84444-22-2200-1-11−3521+352-1-11−3521+3520000000000000000000000
χ818-88-4-84-4-24200-21112-1-1-10000000000000000000000-88-848-442-4-2002-1-1-1-21110000000000000000000000
χ828-8-484-8-4-242001-211-12-1-10000000000000000000000-884-8-4842-4-200-12-1-11-2110000000000000000000000
χ838-8-4-4442-2-220011−1−352−1+352-1-11+3521−3520000000000000000000000-8844-4-4-222-200-1-11+3521−35211−1−352−1+3520000000000000000000000
χ848-8-4-4442-2-220011−1+352−1−352-1-11−3521+3520000000000000000000000-8844-4-4-222-200-1-11−3521+35211−1+352−1−3520000000000000000000000

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