Finite Group Databasebeta

← Group #12011732

Character table — Group #12011732

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111222222222244444488888888881616161616161616161616161616161616161616161616161616161616161616404080808080808080
order1222225510101010101044101010104420202020202020202488881010101020202020202040404040404040404040404040404040442244488
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-1
χ411111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111
χ5111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111-1-1-1
χ6111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11-1-111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-1-1
χ922222222222222222222-2-222-2-2-2-2220000000000-2-2000000000000000000002200-20000
χ1022222222222222222222-2-222-2-2-2-2220000000000-2-200000000000000000000-2-20020000
χ1122222222222222-2-222222-2-2-22222-2-20000000000-2-200000000000000000000002000-200
χ1222222222222222-2-222222-2-2-22222-2-20000000000-2-20000000000000000000000-2000200
χ1322222222222222-2-22222-22-2-2-2-2-2-2-2-22-20000222222-2-2-2-20000000000000000000000000
χ1422222222222222-2-22222-22-2-2-2-2-2-2-2-2-220000-2-2-2-22222220000000000000000000000000
χ15222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1−52−1−52−1−52−1−52000000000
χ16222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−52−1+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+52000000000
χ17222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52-221−521+521−521−521+521+521−521+522-20000−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52-221−521+521−521−521+521+521−521+522-20000−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52-221−521+521−521−521+521+521−521+52-2200001−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1−52-221−521+521−521−521+521+521−521+52-2200001−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14000000000
χ23222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1+52−1+52000000000
χ24222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2-2-2−1−52−1−52−1+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+521−521−521−521−52000000000
χ25222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000
χ26222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52-221+521−521+521+521−521−521+521−522-20000−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52-221+521−521+521+521−521−521+521−522-20000−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52-221+521−521+521+521−521−521+521−52-2200001+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1+52-221+521−521+521+521−521−521+521−52-2200001+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38000000000
χ312-2-22-2222-2-222-2-2-22-2-22200-2-200002200002−200000000002−22−22−22−2000000002-2000002−2
χ322-2-22-2222-2-222-2-2-22-2-22200-2-200002200002−200000000002−22−22−22−200000000-2200000−22
χ332-2-22-2222-2-222-2-2-22-2-22200-2-20000220000−220000000000−22−22−22−22000000002-200000−22
χ342-2-22-2222-2-222-2-2-22-2-22200-2-20000220000−220000000000−22−22−22−2200000000-22000002−2
χ35444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−544−1+5−1−5−1+5−1−5-4-4−1+5−1−51−51−51+51+5−1+5−1−500000000001−51+500000000000000000000000000000
χ36444444−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4−1+5−1−5−1+5−1−54-41−51+5−1+5−1+5−1−5−1−51−51+500000000001−51+500000000000000000000000000000
χ37444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+544−1−5−1+5−1−5−1+5-4-4−1−5−1+51+51+51−51−5−1−5−1+500000000001+51−500000000000000000000000000000
χ38444444−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4−1−5−1+5−1−5−1+54-41+51−5−1−5−1−5−1+5−1+51+51−500000000001+51−500000000000000000000000000000
χ394444-4-44444444400-4-4-4-400000000000000000000000000000000000000000000020-2000
χ404444-4-44444444400-4-4-4-4000000000000000000000000000000000000000000000-202000
χ414-4-444-444-4-444-4-40044-4-40000000000002i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i000000000
χ424-4-444-444-4-444-4-40044-4-4000000000000−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000000
χ434-4-444-4−1+5−1−51−51+5−1+5−1−51−51+500−1+5−1−51−51+50000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400002i−2i00000000000000000000−ζ12−ζ22+ζ28−ζ38ζ12+ζ22−ζ28+ζ38ζ12−ζ22−ζ28−ζ38−ζ12+ζ22+ζ28+ζ38−ζ4−ζ6−ζ14+ζ36ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14−ζ36−ζ4+ζ6+ζ14+ζ36000000000
χ444-4-444-4−1+5−1−51−51+5−1+5−1−51−51+500−1+5−1−51−51+50000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000−2i2i00000000000000000000ζ12+ζ22−ζ28+ζ38−ζ12−ζ22+ζ28−ζ38−ζ12+ζ22+ζ28+ζ38ζ12−ζ22−ζ28−ζ38ζ4+ζ6+ζ14−ζ36−ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14+ζ36ζ4−ζ6−ζ14−ζ36000000000
χ454-4-444-4−1+5−1−51−51+5−1+5−1−51−51+500−1+5−1−51−51+500002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400002i−2i00000000000000000000ζ12−ζ22−ζ28−ζ38−ζ12+ζ22+ζ28+ζ38−ζ12−ζ22+ζ28−ζ38ζ12+ζ22−ζ28+ζ38ζ4−ζ6−ζ14−ζ36−ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14+ζ36ζ4+ζ6+ζ14−ζ36000000000
χ464-4-444-4−1+5−1−51−51+5−1+5−1−51−51+500−1+5−1−51−51+500002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000−2i2i00000000000000000000−ζ12+ζ22+ζ28+ζ38ζ12−ζ22−ζ28−ζ38ζ12+ζ22−ζ28+ζ38−ζ12−ζ22+ζ28−ζ38−ζ4+ζ6+ζ14+ζ36ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14−ζ36−ζ4−ζ6−ζ14+ζ36000000000
χ474-4-444-4−1−5−1+51+51−5−1−5−1+51+51−500−1−5−1+51+51−500002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800002i−2i00000000000000000000−ζ4−ζ6−ζ14+ζ36ζ4+ζ6+ζ14−ζ36ζ4−ζ6−ζ14−ζ36−ζ4+ζ6+ζ14+ζ36ζ12−ζ22−ζ28−ζ38−ζ12+ζ22+ζ28+ζ38−ζ12−ζ22+ζ28−ζ38ζ12+ζ22−ζ28+ζ38000000000
χ484-4-444-4−1−5−1+51+51−5−1−5−1+51+51−500−1−5−1+51+51−500002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000−2i2i00000000000000000000ζ4+ζ6+ζ14−ζ36−ζ4−ζ6−ζ14+ζ36−ζ4+ζ6+ζ14+ζ36ζ4−ζ6−ζ14−ζ36−ζ12+ζ22+ζ28+ζ38ζ12−ζ22−ζ28−ζ38ζ12+ζ22−ζ28+ζ38−ζ12−ζ22+ζ28−ζ38000000000
χ494-4-444-4−1−5−1+51+51−5−1−5−1+51+51−500−1−5−1+51+51−50000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800002i−2i00000000000000000000ζ4−ζ6−ζ14−ζ36−ζ4+ζ6+ζ14+ζ36−ζ4−ζ6−ζ14+ζ36ζ4+ζ6+ζ14−ζ36−ζ12−ζ22+ζ28−ζ38ζ12+ζ22−ζ28+ζ38ζ12−ζ22−ζ28−ζ38−ζ12+ζ22+ζ28+ζ38000000000
χ504-4-444-4−1−5−1+51+51−5−1−5−1+51+51−500−1−5−1+51+51−50000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000−2i2i00000000000000000000−ζ4+ζ6+ζ14+ζ36ζ4−ζ6−ζ14−ζ36ζ4+ζ6+ζ14−ζ36−ζ4−ζ6−ζ14+ζ36ζ12+ζ22−ζ28+ζ38−ζ12−ζ22+ζ28−ζ38−ζ12+ζ22+ζ28+ζ38ζ12−ζ22−ζ28−ζ38000000000
χ514-4-44-4444-4-444-4-44-4-4-44400440000-4-400000000000000000000000000000000000000000
χ524-4-44-44−1+5−1−51−51+5−1+5−1−51−51+54-41−51+5−1+5−1−500−1+5−1−500001−51+50000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000000000
χ534-4-44-44−1+5−1−51−51+5−1+5−1−51−51+54-41−51+5−1+5−1−500−1+5−1−500001−51+50000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000000000
χ544-4-44-44−1+5−1−51−51+5−1+5−1−51−51+5-441−51+5−1+5−1−5001−51+50000−1+5−1−5000022−220000000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ3900000000000000000
χ554-4-44-44−1+5−1−51−51+5−1+5−1−51−51+5-441−51+5−1+5−1−5001−51+50000−1+5−1−50000−22220000000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900000000000000000
χ564-4-44-44−1−5−1+51+51−5−1−5−1+51+51−54-41+51−5−1−5−1+500−1−5−1+500001+51−50000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000000
χ574-4-44-44−1−5−1+51+51−5−1−5−1+51+51−54-41+51−5−1−5−1+500−1−5−1+500001+51−50000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000000
χ584-4-44-44−1−5−1+51+51−5−1−5−1+51+51−5-441+51−5−1−5−1+5001+51−50000−1−5−1+5000022−220000000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ3700000000000000000
χ594-4-44-44−1−5−1+51+51−5−1−5−1+51+51−5-441+51−5−1−5−1+5001+51−50000−1−5−1+50000−22220000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ3700000000000000000
χ608888-8-8−2+25−2−25−2+25−2−25−2+25−2−25−2+25−2−25002−252+252−252+25000000000000000000000000000000000000000000000000000
χ618888-8-8−2−25−2+25−2−25−2+25−2−25−2+25−2−25−2+25002+252−252+252−25000000000000000000000000000000000000000000000000000
χ6288-8-80088-8-8-8-888000000000000000000000000000000000000000000000000000000000
χ6388-8-800−2+25−2−252−252+252−252+25−2+25−2−2500000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000
χ6488-8-800−2+25−2−252−252+252−252+25−2+25−2−250000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000
χ6588-8-800−2−25−2+252+252−252+252−25−2−25−2+250000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000
χ6688-8-800−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000
χ678-88-8008888-8-8-8-8000000000000000000000000000000000000000000000000000000000
χ688-88-800−2+25−2−25−2+25−2−252−252+252−252+250000000000000000000000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000
χ698-88-800−2+25−2−25−2+25−2−252−252+252−252+2500000000000000000000000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000
χ708-88-800−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000
χ718-88-800−2−25−2+25−2−25−2+252+252−252+252−250000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.