Finite Group Databasebeta

← Group #13085795

Character table — Group #13085795

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222222224444444444444444444666666888888888812121212121212121212121212121212122020202020202020202424242424363636363660606060120180
order123345566101012123612121215151515202030303030606060602410101010151530306060606060602610101010122020303030306060606082424242424242424630303030210101010482424122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111111111111-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111
χ511111111111111111111111111111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11-1-1-11-1
χ611111111111111111111111111111111-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-11
χ711111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111111-1-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ922222−1−52−1+5222−1−52−1+522222222−1−52−1+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+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+52−1−52−1−52−1+52−1+520000000002−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+52000000
χ1022222−1−52−1+5222−1−52−1+522222222−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000-21+521+521−521−52-21+521+521−521−52000000
χ1122222−1−52−1+5222−1−52−1+522222222−1−52−1+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−520000000002−1−52−1−52−1+52−1+52-21+521+521−521−52000000
χ1222222−1−52−1+5222−1−52−1+522222222−1−52−1+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+521−521−52−1−52−1+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+521−521−521+521+521−521−52000000000-21+521+521−521−522−1−52−1−52−1+52−1+52000000
χ1322222−1+52−1−5222−1+52−1−522222222−1+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+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−520000000002−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−52000000
χ1422222−1+52−1−5222−1+52−1−522222222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000-21−521−521+521+52-21−521−521+521+52000000
χ1522222−1+52−1−5222−1+52−1−522222222−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+520000000002−1+52−1+52−1−52−1−52-21−521−521+521+52000000
χ1622222−1+52−1−5222−1+52−1−522222222−1+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+52−1+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+521−521−521+521+52000000000-21−521−521+521+522−1+52−1+52−1−52−1−52000000
χ172222-2222222-2-222-2-2-22222-2-22222-2-2-2-22-222222222-2-2-2-2-2-2020000-2-2-22222-2-2-2-20000000000000000000000000
χ182222-2222222-2-222-2-2-22222-2-22222-2-2-2-2-22-2-2-2-22222-2-2-2-2-2-20-20000222-2-2-2-222220000000000000000000000000
χ192222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−5202−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
χ202222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−522-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−5202ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116-21+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000
χ212222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−520-2−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1162−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000
χ222222-2−1−52−1+5222−1−52−1+52-2-222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52-221+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−520-2ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1162−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
χ232222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521−521+521+5202ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ242222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+522-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521−521+521+5202−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92-21−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000
χ252222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+520-2ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ922−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000
χ262222-2−1+52−1−5222−1+52−1−52-2-222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52-221−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+520-2−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ922−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ27222-12222-12222-1-1-1-1-122-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-120222200000000000222-1-1-1-1-1-1-1-1-1-1-1000002000-10
χ28222-12222-12222-1-1-1-1-122-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-120222200000000000-2-2-2111111-1-1-1-1-100000-200010
χ29222-12222-12222-1-1-1-1-122-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-20-2-2-2-200000000000222-1-1-1-1-1-11111100000-200010
χ30222-12222-12222-1-1-1-1-122-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-20-2-2-2-200000000000-2-2-211111111111000002000-10
χ3122-12222-1222-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-10-10000-122-1-1-1-1-1-1-1-12-1-122-1-1-1-1000000000002-1-100
χ3222-12222-1222-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1222222-1-1-1-122-1-1-1-10-10000-122-1-1-1-1-1-1-1-1-211-2-2111100000000000-21100
χ3322-12222-1222-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-10100001-2-2111111112-1-122-1-1-1-100000000000-21100
χ3422-12222-1222-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-10100001-2-211111111-211-2-21111000000000002-1-100
χ3522-12-222-122211-1-1-211-1-122-2-222-1-111112-22222-1-1-1-1-2-211110-100001-2-2-1-1-1-1111103−30033−3−30000000000003−300
χ3622-12-222-122211-1-1-211-1-122-2-222-1-111112-22222-1-1-1-1-2-211110-100001-2-2-1-1-1-111110−3300−3−333000000000000−3300
χ3722-12-222-122211-1-1-211-1-122-2-222-1-11111-22-2-2-2-2-1-1-1-1-2-21111010000-1221111-1-1-1-103−30033−3−3000000000000−3300
χ3822-12-222-122211-1-1-211-1-122-2-222-1-11111-22-2-2-2-2-1-1-1-1-2-21111010000-1221111-1-1-1-10−3300−3−3330000000000003−300
χ39444-24−1−5−1+54-2−1−5−1+544-2-2-2-2-2−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+5−1−5−1−5−1+5−1+50000001+521−521+521−521+521−521+521+521−521−5240−1−5−1−5−1+5−1+500000000000000000000-21+521+521−521−5200000000000
χ40444-24−1−5−1+54-2−1−5−1+544-2-2-2-2-2−1−5−1+51+521−52−1−5−1+51+521−52−1−5−1+5−1−5−1−5−1+5−1+50000001+521−521+521−521+521−521+521+521−521−52-401+51+51−51−5000000000000000000002−1−52−1−52−1+52−1+5200000000000
χ41444-24−1+5−1−54-2−1+5−1−544-2-2-2-2-2−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−5−1+5−1+5−1−5−1−50000001−521+521−521+521−521+521−521−521+521+5240−1+5−1+5−1−5−1−500000000000000000000-21−521−521+521+5200000000000
χ42444-24−1+5−1−54-2−1+5−1−544-2-2-2-2-2−1+5−1−51−521+52−1+5−1−51−521+52−1+5−1−5−1+5−1+5−1−5−1−50000001−521+521−521+521−521+521−521−521+521+52-401−51−51+51+5000000000000000000002−1+52−1+52−1−52−1−5200000000000
χ43444-2-4444-244-4-4-2-222244-2-2-4-4-2-244-4-4-4-4000000-2-2-2-2222222000000000000000000000000000000000000000000
χ44444-2-4−1−5−1+54-2−1−5−1+5-4-4-2-2222−1−5−1+51+521−521+51−51+521−52−1−5−1+51+51+51−51−50000001+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+5200−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116000000000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ45444-2-4−1−5−1+54-2−1−5−1+5-4-4-2-2222−1−5−1+51+521−521+51−51+521−52−1−5−1+51+51+51−51−50000001+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116000000000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ46444-2-4−1+5−1−54-2−1+5−1−5-4-4-2-2222−1+5−1−51−521+521−51+51−521+52−1+5−1−51−51−51+51+50000001−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−52002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000000000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000
χ47444-2-4−1+5−1−54-2−1+5−1−5-4-4-2-2222−1+5−1−51−521+521−51+51−521+52−1+5−1−51−51−51+51+50000001−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−5200−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92000000000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000000
χ4844-244−1−5−1+5-24−1−5−1+5-2-2-2-24-2-21+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−5244−1−5−1−5−1+5−1+51+521−521+521−52−1−5−1+51+521+521−521−520-20000-2−1−5−1+51+521+521−521−521+521+521−521−520000000000000000000000000
χ4944-244−1−5−1+5-24−1−5−1+5-2-2-2-24-2-21+521−52−1−5−1+5−1−5−1+5−1−5−1+51+521−521+521+521−521−52-4-41+51+51−51−51+521−521+521−52−1−5−1+51+521+521−521−5202000021+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000000
χ5044-244−1+5−1−5-24−1+5−1−5-2-2-2-24-2-21−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+5244−1+5−1+5−1−5−1−51−521+521−521+52−1+5−1−51−521−521+521+520-20000-2−1+5−1−51−521−521+521+521−521−521+521+520000000000000000000000000
χ5144-244−1+5−1−5-24−1+5−1−5-2-2-2-24-2-21−521+52−1+5−1−5−1+5−1−5−1+5−1−51−521+521−521−521+521+52-4-41−51−51+51+51−521+521−521+52−1+5−1−51−521−521+521+5202000021−51+5−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000000
χ5244-24-4−1−5−1+5-24−1−5−1+522-2-2-4221+521−52−1−5−1+51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+524-4−1−5−1−5−1+5−1+51+521−521+521−521+51−5−1−52−1−52−1+52−1+520-2000021+51−51+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000
χ5344-24-4−1−5−1+5-24−1−5−1+522-2-2-4221+521−52−1−5−1+51+51−5−1−5−1+51+521−52−1−52−1−52−1+52−1+52-441+51+51−51−51+521−521+521−521+51−5−1−52−1−52−1+52−1+52020000-2−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000
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χ694-4-240−1−5−1+52-41+51−523−23-22023−231+521−52−1−5−1+5001+51−5−1−52−1+52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ9400−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1161+521−52−1−52−1+5200−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ940000000000000000000000000
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χ714-4-240−1−5−1+52-41+51−5−2323-220−23231+521−52−1−5−1+5001+51−5−1−52−1+52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ9400−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1161+521−52−1−52−1+5200ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ940000000000000000000000000
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χ744-4-240−1+5−1−52-41−51+523−23-22023−231−521+52−1+5−1−5001−51+5−1+52−1−52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ11800−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ921−521+52−1+52−1−5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ1180000000000000000000000000
χ754-4-240−1+5−1−52-41−51+5−2323-220−23231−521+52−1+5−1−5001−51+5−1+52−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ921−521+52−1+52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ1180000000000000000000000000
χ764-4-240−1+5−1−52-41−51+5−2323-220−23231−521+52−1+5−1−5001−51+5−1+52−1−52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ11800−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ921−521+52−1+52−1−5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ1180000000000000000000000000
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χ8188-4-48−2−25−2+25-4-4−2−25−2+25-4-422-4221+51−51+51−5−2−25−2+251+51−51+51−51+51+51−51−5000000−1−52−1+52−1−52−1+521+51−5−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000
χ8288-4-48−2+25−2−25-4-4−2+25−2−25-4-422-4221−51+51−51+5−2+25−2−251−51+51−51+51−51−51+51+5000000−1+52−1−52−1+52−1−521−51+5−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000
χ8388-4-4-8−2−25−2+25-4-4−2−25−2+2544224-2-21+51−51+51−52+252−251+51−51+51−5−1−5−1−5−1+5−1+5000000−1−52−1+52−1−52−1+52−1−5−1+51+521+521−521−52000000000000000000000000000000000000000000
χ8488-4-4-8−2+25−2−25-4-4−2+25−2−2544224-2-21−51+51−51+52−252+251−51+51−51+5−1+5−1+5−1−5−1−5000000−1+52−1−52−1+52−1−52−1+5−1−51−521−521+521+52000000000000000000000000000000000000000000
χ858-88-40−2−25−2+25-842+252−2500-44000−2−25−2+251+51−500−1−5−1+52+252−2500000000001+51−5−1−5−1+5000000000000000000000000000000000000000000000000
χ868-88-40−2+25−2−25-842−252+2500-44000−2+25−2−251−51+500−1+5−1−52−252+2500000000001−51+5−1+5−1−5000000000000000000000000000000000000000000000000
χ878-8-4-40−2−25−2+25442+252−2543−432-20−23231+51−51+51−500−1−5−1+5−1−5−1+5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94000000−1−52−1+521+521−5200ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94000000000000000000000000000000000000000000
χ888-8-4-40−2−25−2+25442+252−25−43432-2023−231+51−51+51−500−1−5−1+5−1−5−1+52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94000000−1−52−1+521+521−5200−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94000000000000000000000000000000000000000000
χ898-8-4-40−2+25−2−25442−252+2543−432-20−23231−51+51−51+500−1+5−1−5−1+5−1−52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118000000−1+52−1−521−521+5200−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118000000000000000000000000000000000000000000
χ908-8-4-40−2+25−2−25442−252+25−43432-2023−231−51+51−51+500−1+5−1−5−1+5−1−5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118000000−1+52−1−521−521+5200ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118000000000000000000000000000000000000000000

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