Finite Group Databasebeta

← Group #13087743

Character table — Group #13087743

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222244444444444444444444444444488888888888888888888888888888181818181818363636363636366060606060606060120120
order123345566101034612121515151515151515202020202020303030303030303012121212126060606060606060606060606060606060606060606060602420202020210101010101022882424242466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11
χ5111111111111-11111111111111-1-1-1-111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-111-1-1-1-1-1-111
χ6111111111111-11111111111111-1-1-1-111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1111111-1-1
χ7111111111111-11111111111111-1-1-1-111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-11-1-1111-1
χ8111111111111-11111111111111-1-1-1-111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-111-111-1-1-11
χ922222−1−52−1+5222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+520000000000
χ1022222−1−52−1+5222−1−52−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-21+521+521−521−52-21+521−521+521+521−521−520000000000
χ1122222−1−52−1+5222−1−52−1+522-2222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222−1−52−1−52−1+52−1+52-2−1−52−1+521+521+521−521−520000000000
χ1222222−1−52−1+5222−1−52−1+522-2222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-22-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-21+521+521−521−5221+521−52−1−52−1−52−1+52−1+520000000000
χ1322222−1+52−1−5222−1+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+52−1−52−1−52−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−520000000000
χ1422222−1+52−1−5222−1+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+52−1−52−1−52−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-21−521−521+521+52-21−521+521−521−521+521+520000000000
χ1522222−1+52−1−5222−1+52−1−522-2222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+5222−1+52−1+52−1−52−1−52-2−1+52−1−521−521−521+521+520000000000
χ1622222−1+52−1−5222−1+52−1−522-2222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52-2-21−521−521+521+5221−521+52−1+52−1+52−1−52−1−520000000000
χ172222-2222222202-2-222222222-2-200002222222200-200-2-2-2-2-2-2-2-200000000000000002-2-2-2-2-202200000000000000
χ182222-2222222202-2-222222222-2-200002222222200-200-2-2-2-2-2-2-2-20000000000000000-2222220-2-200000000000000
χ192222-2−1−52−1+5222−1−52−1+52202-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2001+521+521+521+521−521−521−521−52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1162-21+521+521−521−520−1−52−1+52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000
χ202222-2−1−52−1+5222−1−52−1+52202-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2001+521+521+521+521−521−521−521−52−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116-22−1−52−1−52−1+52−1+5201+521−52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000
χ212222-2−1−52−1+5222−1−52−1+52202-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2001+521+521+521+521−521−521−521−52ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ1162-21+521+521−521−520−1−52−1+52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000000
χ222222-2−1−52−1+5222−1−52−1+52202-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521−52ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2001+521+521+521+521−521−521−521−52ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116-22−1−52−1−52−1+52−1+5201+521−52−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000000
χ232222-2−1+52−1−5222−1+52−1−52202-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2001−521−521−521−521+521+521+521+52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ922-21−521−521+521+520−1+52−1−52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000
χ242222-2−1+52−1−5222−1+52−1−52202-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2001−521−521−521−521+521+521+521+52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92-22−1+52−1+52−1−52−1−5201−521+52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000
χ252222-2−1+52−1−5222−1+52−1−52202-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2001−521−521−521−521+521+521+521+52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ922-21−521−521+521+520−1+52−1−52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000000
χ262222-2−1+52−1−5222−1+52−1−52202-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521+52−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2001−521−521−521−521+521+521+521+52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92-22−1+52−1+52−1−52−1−5201−521+52ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000000
χ27222-12222-122-12-12-12-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000000000020200-1-10-1
χ28222-12222-122-12-12-12-1-1-12-1-1-12222222-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000000-20-2001101
χ29222-12222-122-1-2-12-12-1-1-12-1-1-122-2-2-2-22-1-1-12-1-1-1-21-1112-1-1-12-1-1-1-2111-2111-2111-21110000000000000020-200110-1
χ30222-12222-122-1-2-12-12-1-1-12-1-1-122-2-2-2-22-1-1-12-1-1-1-21-1112-1-1-12-1-1-1-2111-2111-2111-211100000000000000-20200-1-101
χ3122-12222-1222-12-1-12-12-1-1-12-1-1222222-12-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000000002020-1-100-10
χ3222-12222-1222-12-1-12-12-1-1-12-1-1222222-12-1-1-12-1-1-12-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000000000-20-20110010
χ3322-12222-1222-1-2-1-12-12-1-1-12-1-122-2-2-2-2-12-1-1-12-1-11-2-111-12-1-1-12-1-11-2111-2111-2111-211000000000000020-201100-10
χ3422-12222-1222-1-2-1-12-12-1-1-12-1-122-2-2-2-2-12-1-1-12-1-11-2-111-12-1-1-12-1-11-2111-2111-2111-2110000000000000-2020-1-10010
χ35444-24−1−5−1+54-2−1−5−1+5-24-24-2−1−51+521+521+52−1+51−521−521−52−1−5−1+5−1−5−1−5−1+5−1+5−1−51+521+521+52−1+51−521−521−524-2-2-2-2−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1−51+521+521+52−1+51−521−521−52−1+51−521−521−5200000000000000000000000
χ36444-24−1−5−1+54-2−1−5−1+5-2-4-24-2−1−51+521+521+52−1+51−521−521−52−1−5−1+51+51+51−51−5−1−51+521+521+52−1+51−521−521−52-42-222−1−51+521+521+52−1+51−521−521−521+5−1−52−1−52−1−521+5−1−52−1−52−1−521−5−1+52−1+52−1+521−5−1+52−1+52−1+5200000000000000000000000
χ37444-24−1+5−1−54-2−1+5−1−5-24-24-2−1+51−521−521−52−1−51+521+521+52−1+5−1−5−1+5−1+5−1−5−1−5−1+51−521−521−52−1−51+521+521+524-2-2-2-2−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1+51−521−521−52−1−51+521+521+52−1−51+521+521+5200000000000000000000000
χ38444-24−1+5−1−54-2−1+5−1−5-2-4-24-2−1+51−521−521−52−1−51+521+521+52−1+5−1−51−51−51+51+5−1+51−521−521−52−1−51+521+521+52-42-222−1+51−521−521−52−1−51+521+521+521−5−1+52−1+52−1+521−5−1+52−1+52−1+521+5−1−52−1−52−1−521+5−1−52−1−52−1−5200000000000000000000000
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χ6744-2-2-4−1−5−1+5-2-2−1−5−1+5101221+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+51−5−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ11600-1-33−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−2ζ28−ζ52−2ζ68−ζ92ζ28+2ζ52+ζ68+2ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ922ζ28+ζ52+2ζ68+ζ92−ζ28−2ζ52−ζ68−2ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44−2ζ76−2ζ1162ζ4+2ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44+2ζ76+2ζ116−2ζ4−2ζ44−ζ76−ζ11600000000000000000000000
χ6844-2-2-4−1−5−1+5-2-2−1−5−1+5101221+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+51−52ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ11600-13-3−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ922ζ28+ζ52+2ζ68+ζ92−ζ28−2ζ52−ζ68−2ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−2ζ28−ζ52−2ζ68−ζ92ζ28+2ζ52+ζ68+2ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44+2ζ76+2ζ116−2ζ4−2ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44−2ζ76−2ζ1162ζ4+2ζ44+ζ76+ζ11600000000000000000000000
χ6944-2-2-4−1+5−1−5-2-2−1+5−1−5101221−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−51+52ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ9200-13-3−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1162ζ4+2ζ44+ζ76+ζ116−ζ4−ζ44−2ζ76−2ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−2ζ4−2ζ44−ζ76−ζ116ζ4+ζ44+2ζ76+2ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ922ζ28+ζ52+2ζ68+ζ92−ζ28−2ζ52−ζ68−2ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−2ζ28−ζ52−2ζ68−ζ92ζ28+2ζ52+ζ68+2ζ9200000000000000000000000
χ7044-2-2-4−1+5−1−5-2-2−1+5−1−5101221−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ921−51+5−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ921−521−522ζ4+2ζ44−ζ76−ζ116−ζ4−ζ44+2ζ76+2ζ1161+521+522ζ28−ζ52+2ζ68−ζ92−ζ28+2ζ52−ζ68+2ζ9200-1-33−1+52−1+52−2ζ4−2ζ44+ζ76+ζ116ζ4+ζ44−2ζ76−2ζ116−1−52−1−52−2ζ28+ζ52−2ζ68+ζ92ζ28−2ζ52+ζ68−2ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−2ζ4−2ζ44−ζ76−ζ116ζ4+ζ44+2ζ76+2ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ1162ζ4+2ζ44+ζ76+ζ116−ζ4−ζ44−2ζ76−2ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−2ζ28−ζ52−2ζ68−ζ92ζ28+2ζ52+ζ68+2ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ922ζ28+ζ52+2ζ68+ζ92−ζ28−2ζ52−ζ68−2ζ9200000000000000000000000
χ7144-2-2-4−1+5−1−5-2-2−1+5−1−5101221−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−51+52ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ9200-1-33−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44−2ζ76−2ζ1162ζ4+2ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44+2ζ76+2ζ116−2ζ4−2ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28−2ζ52−ζ68−2ζ922ζ28+ζ52+2ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28+2ζ52+ζ68+2ζ92−2ζ28−ζ52−2ζ68−ζ9200000000000000000000000
χ7244-2-2-4−1+5−1−5-2-2−1+5−1−5101221−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ921−51+5−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ921−521−52−ζ4−ζ44+2ζ76+2ζ1162ζ4+2ζ44−ζ76−ζ1161+521+52−ζ28+2ζ52−ζ68+2ζ922ζ28−ζ52+2ζ68−ζ9200-13-3−1+52−1+52ζ4+ζ44−2ζ76−2ζ116−2ζ4−2ζ44+ζ76+ζ116−1−52−1−52ζ28−2ζ52+ζ68−2ζ92−2ζ28+ζ52−2ζ68+ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44+2ζ76+2ζ116−2ζ4−2ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44−2ζ76−2ζ1162ζ4+2ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ28+2ζ52+ζ68+2ζ92−2ζ28−ζ52−2ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ28−2ζ52−ζ68−2ζ922ζ28+ζ52+2ζ68+ζ9200000000000000000000000
χ734-444044-4-4-4-440-40044444444000000-4-4-4-4-4-4-4-40000000000000000000000000000000000000000000000000000
χ744-4440−1−5−1+5-4-41+51−540-400−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+50000001+51+51+51+51−51−51−51−50000000000000000000000000000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ9400000000000000000
χ754-4440−1−5−1+5-4-41+51−540-400−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+50000001+51+51+51+51−51−51−51−500000000000000000000000000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ9400000000000000000
χ764-4440−1+5−1−5-4-41−51+540-400−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000001−51−51−51−51+51+51+51+500000000000000000000000000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ11800000000000000000
χ774-4440−1+5−1−5-4-41−51+540-400−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−50000001−51−51−51−51+51+51+51+50000000000000000000000000000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ11800000000000000000
χ784-44-2044-42-4-4-202004-2-2-24-2-2-2000000-4222-42220000000000000000000000000000000000000000000000006−600
χ794-44-2044-42-4-4-202004-2-2-24-2-2-2000000-4222-4222000000000000000000000000000000000000000000000000−6600
χ804-4-240442-4-4-4-20200-24-2-2-24-2-20000002-4222-42200000000000000000000000000000000000000000000006−60000
χ814-4-240442-4-4-4-20200-24-2-2-24-2-20000002-4222-4220000000000000000000000000000000000000000000000−660000
χ828-88-40−2−25−2+25-842+252−25-40400−2−251+51+51+5−2+251−51−51−50000002+25−1−5−1−5−1−52−25−1+5−1+5−1+50000000000000000000000000000000000000000000000000000
χ838-88-40−2+25−2−25-842−252+25-40400−2+251−51−51−5−2−251+51+51+50000002−25−1+5−1+5−1+52+25−1−5−1−5−1−50000000000000000000000000000000000000000000000000000
χ848-8-480−2−25−2+254-82+252−25-404001+5−2−251+51+51−5−2+251−51−5000000−1−52+25−1−5−1−5−1+52−25−1+5−1+50000000000000000000000000000000000000000000000000000
χ858-8-480−2+25−2−254-82−252+25-404001−5−2+251−51−51+5−2−251+51+5000000−1+52−25−1+5−1+5−1−52+25−1−5−1−50000000000000000000000000000000000000000000000000000
χ868-8-4-408844-8-820-200-4-422-4-42200000044-2-244-2-20000000000000000000000000000000000000000000000000000
χ878-8-4-40−2−25−2+25442+252−2520-2001+51+5−2ζ28+4ζ52−2ζ68+4ζ924ζ28−2ζ52+4ζ68−2ζ921−51−54ζ4+4ζ44−2ζ76−2ζ116−2ζ4−2ζ44+4ζ76+4ζ116000000−1−5−1−52ζ28−4ζ52+2ζ68−4ζ92−4ζ28+2ζ52−4ζ68+2ζ92−1+5−1+5−4ζ4−4ζ44+2ζ76+2ζ1162ζ4+2ζ44−4ζ76−4ζ1160000000000000000000000000000000000000000000000000000
χ888-8-4-40−2−25−2+25442+252−2520-2001+51+54ζ28−2ζ52+4ζ68−2ζ92−2ζ28+4ζ52−2ζ68+4ζ921−51−5−2ζ4−2ζ44+4ζ76+4ζ1164ζ4+4ζ44−2ζ76−2ζ116000000−1−5−1−5−4ζ28+2ζ52−4ζ68+2ζ922ζ28−4ζ52+2ζ68−4ζ92−1+5−1+52ζ4+2ζ44−4ζ76−4ζ116−4ζ4−4ζ44+2ζ76+2ζ1160000000000000000000000000000000000000000000000000000
χ898-8-4-40−2+25−2−25442−252+2520-2001−51−54ζ4+4ζ44−2ζ76−2ζ116−2ζ4−2ζ44+4ζ76+4ζ1161+51+54ζ28−2ζ52+4ζ68−2ζ92−2ζ28+4ζ52−2ζ68+4ζ92000000−1+5−1+5−4ζ4−4ζ44+2ζ76+2ζ1162ζ4+2ζ44−4ζ76−4ζ116−1−5−1−5−4ζ28+2ζ52−4ζ68+2ζ922ζ28−4ζ52+2ζ68−4ζ920000000000000000000000000000000000000000000000000000
χ908-8-4-40−2+25−2−25442−252+2520-2001−51−5−2ζ4−2ζ44+4ζ76+4ζ1164ζ4+4ζ44−2ζ76−2ζ1161+51+5−2ζ28+4ζ52−2ζ68+4ζ924ζ28−2ζ52+4ζ68−2ζ92000000−1+5−1+52ζ4+2ζ44−4ζ76−4ζ116−4ζ4−4ζ44+2ζ76+2ζ116−1−5−1−52ζ28−4ζ52+2ζ68−4ζ92−4ζ28+2ζ52−4ζ68+2ζ920000000000000000000000000000000000000000000000000000

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