Finite Group Databasebeta

← Group #11746708

Character table — Group #11746708

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111144444888888810101010202020202020202040111144444888888810101010202020202020202040111144444888888810101010202020202020202040
order12224510101042020202020204444888888884366612153030301260606060606012121212242424242424242412366612153030301260606060606012121212242424242424242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11
χ31111111111111111-1-1-1-1iiii−i−i−i−i-11111111111111111-1-1-1-1iiii−i−i−i−i-11111111111111111-1-1-1-1iiii−i−i−i−i-1
χ41111111111111111-1-1-1-1−i−i−i−iiiii-11111111111111111-1-1-1-1−i−i−i−iiiii-11111111111111111-1-1-1-1−i−i−i−iiiii-1
χ5111111111-111-1-1-1-1111111-1-111-1-1-1111111111-111-1-1-1-1111111-1-111-1-1-1111111111-111-1-1-1-1111111-1-111-1-1-1
χ6111111111-111-1-1-1-11111-1-111-1-111-1111111111-111-1-1-1-11111-1-111-1-111-1111111111-111-1-1-1-11111-1-111-1-111-1
χ7111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1
χ8111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1
χ92222-222220-2-200002-22-20000000002222-222220-2-200002-22-20000000002222-222220-2-200002-22-2000000000
χ102222-222220-2-20000-22-220000000002222-222220-2-20000-22-220000000002222-222220-2-20000-22-22000000000
χ1122-2-2022-2-20000000020-22−2002−200022-2-2022-2-20000000020-22−2002−200022-2-2022-2-20000000020-22−2002−2000
χ1222-2-2022-2-20000000020-2−2200−2200022-2-2022-2-20000000020-2−2200−2200022-2-2022-2-20000000020-2−2200−22000
χ1322-2-2022-2-200000000-202i2−i200−i2i200022-2-2022-2-200000000-202i2−i200−i2i200022-2-2022-2-200000000-202i2−i200−i2i2000
χ1422-2-2022-2-200000000-202−i2i200i2−i200022-2-2022-2-200000000-202−i2i200i2−i200022-2-2022-2-200000000-202−i2i200i2−i2000
χ152-22-202-22-2000000020-20002−2002−202-22-202-22-2000000020-20002−2002−202-22-202-22-2000000020-20002−2002−20
χ162-22-202-22-2000000020-2000−2200−2202-22-202-22-2000000020-2000−2200−2202-22-202-22-2000000020-2000−2200−220
χ172-22-202-22-20000000-202000i2−i200−i2i202-22-202-22-20000000-202000i2−i200−i2i202-22-202-22-20000000-202000i2−i200−i2i20
χ182-22-202-22-20000000-202000−i2i200i2−i202-22-202-22-20000000-202000−i2i200i2−i202-22-202-22-20000000-202000−i2i200i2−i20
χ1944444-1-1-1-14-1-1-1-1-1-1000000000000044444-1-1-1-14-1-1-1-1-1-1000000000000044444-1-1-1-14-1-1-1-1-1-10000000000000
χ2044444-1-1-1-1-4-1-11111000000000000044444-1-1-1-1-4-1-11111000000000000044444-1-1-1-1-4-1-111110000000000000
χ214444-4-1-1-1-101155−5−500000000000004444-4-1-1-1-101155−5−500000000000004444-4-1-1-1-101155−5−50000000000000
χ224444-4-1-1-1-1011−5−55500000000000004444-4-1-1-1-1011−5−55500000000000004444-4-1-1-1-1011−5−5550000000000000
χ234-4-4404-4-44000000000000000000004-4-4404-4-44000000000000000000004-4-4404-4-4400000000000000000000
χ244-4-440-111-105−5ζ4−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−ζ11600000000000004-4-440-111-105−5ζ4−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−ζ11600000000000004-4-440-111-105−5ζ4−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−ζ1160000000000000
χ254-4-440-111-105−5−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+ζ11600000000000004-4-440-111-105−5−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+ζ11600000000000004-4-440-111-105−5−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+ζ1160000000000000
χ264-4-440-111-10−55−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−ζ11600000000000004-4-440-111-10−55−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−ζ11600000000000004-4-440-111-10−55−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−ζ1160000000000000
χ274-4-440-111-10−55ζ4+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+ζ11600000000000004-4-440-111-10−55ζ4+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+ζ11600000000000004-4-440-111-10−55ζ4+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+ζ1160000000000000
χ2888-8-80-2-2220000000000000000000088-8-80-2-2220000000000000000000088-8-80-2-22200000000000000000000
χ298-88-80-22-22000000000000000000008-88-80-22-22000000000000000000008-88-80-22-2200000000000000000000
χ3011111111111111111111111111111−1+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
χ3111111111111111111111-1-1-1-1-1-1-1-11−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32
χ321111111111111111-1-1-1-1iiii−i−i−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+i321−i321−i321−i321−i32−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−ζ46−ζ94−ζ118ζ22+ζ46+ζ94+ζ118ζ22+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−i321+i321+i321+i321+i32−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ861+i32
χ331111111111111111-1-1-1-1−i−i−i−iiiii-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+i321−i321−i321−i321−i32ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118ζ22+ζ46+ζ94+ζ118−ζ22−ζ46−ζ94−ζ118−ζ22−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−i321+i321+i321+i321+i32ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86ζ14+ζ38+ζ62+ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ86−ζ14−ζ38−ζ62−ζ861+i32
χ34111111111-111-1-1-1-1111111-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ35111111111-111-1-1-1-11111-1-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ36111111111-111-1-1-1-1-1-1-1-1ii−i−i−i−iii1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i321+i32−1−i32−1−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
χ37111111111-111-1-1-1-1-1-1-1-1−i−iiiii−i−i1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i321+i32−1−i32−1−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
χ382222-222220-2-200002-22-2000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i30000−1+i31−i3−1+i31−i3000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i30000−1−i31+i3−1−i31+i3000000000
χ392222-222220-2-20000-22-22000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i301−i31−i300001−i3−1+i31−i3−1+i3000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i301+i31+i300001+i3−1−i31+i3−1−i3000000000
χ4022-2-2022-2-20000000020-22−2002−2000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300000000−1+i301−i3−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ10900−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300000000−1−i301+i3−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ11900−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119000
χ4122-2-2022-2-20000000020-2−2200−22000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i300000000−1+i301−i3ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ10900ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i300000000−1−i301+i3ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ11900ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119000
χ4222-2-2022-2-200000000-202i2−i200−i2i2000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i3000000001−i30−1+i3−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ10900ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i3000000001+i30−1−i3−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ11900ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119000
χ4322-2-2022-2-200000000-202−i2i200i2−i2000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i3000000001−i30−1+i3ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ10900−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i3000000001+i30−1−i3ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ11900−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119000
χ442-22-202-22-2000000020-20002−2002−20−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000000−1+i301−i3000−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ10900−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ1090−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000000−1−i301+i3000−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ11900−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ1190
χ452-22-202-22-2000000020-2000−2200−220−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000000−1+i301−i3000ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ10900ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ1090−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000000−1−i301+i3000ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ11900ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ1190
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χ7222-2-2022-2-200000000-202−i2i200i2−i2000−1−i3−1−i31+i31+i30−1−i3−1−i31+i31+i3000000001+i30−1−i3ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ11900−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119000−1+i3−1+i31−i31−i30−1+i3−1+i31−i31−i3000000001−i30−1+i3ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ10900−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109000
χ732-22-202-22-2000000020-20002−2002−20−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000000−1−i301+i3000−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ11900−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ119ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ1190−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000000−1+i301−i3000−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ10900−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ109ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ1090
χ742-22-202-22-2000000020-2000−2200−220−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i30000000−1−i301+i3000ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ11900ζ23−ζ29+ζ47−ζ53+ζ71−ζ77−ζ101+ζ119−ζ23+ζ29−ζ47+ζ53−ζ71+ζ77+ζ101−ζ1190−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i30000000−1+i301−i3000ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ10900ζ7−ζ13+ζ31−ζ37−ζ61+ζ79+ζ103−ζ109−ζ7+ζ13−ζ31+ζ37+ζ61−ζ79−ζ103+ζ1090
χ752-22-202-22-20000000-202000i2−i200−i2i20−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300000001+i30−1−i3000−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ11900ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ1190−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300000001−i30−1+i3000−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ10900ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ1090
χ762-22-202-22-20000000-202000−i2i200i2−i20−1−i31+i3−1−i31+i30−1−i31+i3−1−i31+i300000001+i30−1−i3000ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ119−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ11900−ζ23−ζ29−ζ47−ζ53−ζ71−ζ77−ζ101−ζ119ζ23+ζ29+ζ47+ζ53+ζ71+ζ77+ζ101+ζ1190−1+i31−i3−1+i31−i30−1+i31−i3−1+i31−i300000001−i30−1+i3000ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ109−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ10900−ζ7−ζ13−ζ31−ζ37−ζ61−ζ79−ζ103−ζ109ζ7+ζ13+ζ31+ζ37+ζ61+ζ79+ζ103+ζ1090
χ7744444-1-1-1-14-1-1-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i32−2−2i31+i321+i321+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i32−2+2i31−i321−i321−i321−i321−i321−i320000000000000
χ7844444-1-1-1-1-4-1-111110000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i321+i321+i321+i322+2i31+i321+i32−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i321−i321−i321−i322−2i31−i321−i32−1+i32−1+i32−1+i32−1+i320000000000000
χ794444-4-1-1-1-101155−5−50000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−1−i32−1−i32−ζ44+ζ68+ζ92−ζ116−ζ44+ζ68+ζ92−ζ116ζ44−ζ68−ζ92+ζ116ζ44−ζ68−ζ92+ζ1160000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−1+i32−1+i32−ζ4+ζ28+ζ52−ζ76−ζ4+ζ28+ζ52−ζ76ζ4−ζ28−ζ52+ζ76ζ4−ζ28−ζ52+ζ760000000000000
χ804444-4-1-1-1-1011−5−5550000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i321+i321+i321+i320−1−i32−1−i32ζ44−ζ68−ζ92+ζ116ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ116−ζ44+ζ68+ζ92−ζ1160000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i321−i321−i321−i320−1+i32−1+i32ζ4−ζ28−ζ52+ζ76ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ76−ζ4+ζ28+ζ52−ζ760000000000000
χ814-4-4404-4-4400000000000000000000−2−2i32+2i32+2i3−2−2i30−2−2i32+2i32+2i3−2−2i300000000000000000000−2+2i32−2i32−2i3−2+2i30−2+2i32−2i32−2i3−2+2i300000000000000000000
χ824-4-440-111-105−5ζ4−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−ζ1160000000000000−2−2i32+2i32+2i3−2−2i301+i32−1−i32−1−i321+i320−ζ44+ζ68+ζ92−ζ116ζ44−ζ68−ζ92+ζ116−ζ44+ζ68−ζ92+ζ116ζ44−ζ68+ζ92−ζ116ζ44+ζ68−ζ92−ζ116−ζ44−ζ68+ζ92+ζ1160000000000000−2+2i32−2i32−2i3−2+2i301−i32−1+i32−1+i321−i320−ζ4+ζ28+ζ52−ζ76ζ4−ζ28−ζ52+ζ76−ζ4+ζ28−ζ52+ζ76ζ4−ζ28+ζ52−ζ76ζ4+ζ28−ζ52−ζ76−ζ4−ζ28+ζ52+ζ760000000000000
χ834-4-440-111-105−5−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+ζ1160000000000000−2−2i32+2i32+2i3−2−2i301+i32−1−i32−1−i321+i320−ζ44+ζ68+ζ92−ζ116ζ44−ζ68−ζ92+ζ116ζ44−ζ68+ζ92−ζ116−ζ44+ζ68−ζ92+ζ116−ζ44−ζ68+ζ92+ζ116ζ44+ζ68−ζ92−ζ1160000000000000−2+2i32−2i32−2i3−2+2i301−i32−1+i32−1+i321−i320−ζ4+ζ28+ζ52−ζ76ζ4−ζ28−ζ52+ζ76ζ4−ζ28+ζ52−ζ76−ζ4+ζ28−ζ52+ζ76−ζ4−ζ28+ζ52+ζ76ζ4+ζ28−ζ52−ζ760000000000000
χ844-4-440-111-10−55−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−ζ1160000000000000−2−2i32+2i32+2i3−2−2i301+i32−1−i32−1−i321+i320ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ116ζ44+ζ68−ζ92−ζ116−ζ44−ζ68+ζ92+ζ116ζ44−ζ68+ζ92−ζ116−ζ44+ζ68−ζ92+ζ1160000000000000−2+2i32−2i32−2i3−2+2i301−i32−1+i32−1+i321−i320ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ76ζ4+ζ28−ζ52−ζ76−ζ4−ζ28+ζ52+ζ76ζ4−ζ28+ζ52−ζ76−ζ4+ζ28−ζ52+ζ760000000000000
χ854-4-440-111-10−55ζ4+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+ζ1160000000000000−2−2i32+2i32+2i3−2−2i301+i32−1−i32−1−i321+i320ζ44−ζ68−ζ92+ζ116−ζ44+ζ68+ζ92−ζ116−ζ44−ζ68+ζ92+ζ116ζ44+ζ68−ζ92−ζ116−ζ44+ζ68−ζ92+ζ116ζ44−ζ68+ζ92−ζ1160000000000000−2+2i32−2i32−2i3−2+2i301−i32−1+i32−1+i321−i320ζ4−ζ28−ζ52+ζ76−ζ4+ζ28+ζ52−ζ76−ζ4−ζ28+ζ52+ζ76ζ4+ζ28−ζ52−ζ76−ζ4+ζ28−ζ52+ζ76ζ4−ζ28+ζ52−ζ760000000000000
χ8688-8-80-2-22200000000000000000000−4−4i3−4−4i34+4i34+4i301+i31+i3−1−i3−1−i300000000000000000000−4+4i3−4+4i34−4i34−4i301−i31−i3−1+i3−1+i300000000000000000000
χ878-88-80-22-2200000000000000000000−4−4i34+4i3−4−4i34+4i301+i3−1−i31+i3−1−i300000000000000000000−4+4i34−4i3−4+4i34−4i301−i3−1+i31−i3−1+i300000000000000000000

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