Finite Group Databasebeta

← Group #13087494

Character table — Group #13087494

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1122222222222222222444444444444444444444446688888888888888888888888888888121212121212121212121212121212242424242424243030454560606090120180
order1233455661010151515153030303023612121515151515152020303030303030606060608866661010123030303030303030303030303030303060606060606022424404040401201201201201201201201206101030303030882222424462
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-1
χ4111111111111111111111111111111111111111111-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11
χ51111111111111111111-1111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111-1-1-1-1-1-1-11111-1111-1-1
χ61111111111111111111-1111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-111
χ71111111111111111111-11111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11
χ81111111111111111111-11111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111-1-111-1
χ922222−1−52−1+5222−1−52−1+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+52222222−1−52−1+522−1−52−1−52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+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+52-2-22222−1−52−1+522−1−52−1−52−1+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+52-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52-21+521−521+521+521−521−520000000000
χ1122222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22222−1−52−1−52−1−52−1+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+5222-2-2-2-21+521−5221+521+521−521−521+521+521+521+521+521+521−521−521−521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+52-222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521−521+521+521−521−520000000000
χ1222222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22222−1−52−1−52−1−52−1+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+52-2-2-2-2-2-21+521−5221+521+521−521−521+521+521+521+521+521+521−521−521−521−521−521−52−1−52−1−52−1−52−1+52−1+52−1+522-2-21+521+521−521−521+521+521+521+521−521−521−521−522−1−52−1+52−1−52−1−52−1+52−1+520000000000
χ1322222−1+52−1−5222−1+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+52−1−52−1−52222222−1+52−1−522−1+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+52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−520000000000
χ1422222−1+52−1−5222−1+52−1−52−1+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+52−1−52−1−52-2-22222−1+52−1−522−1+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+52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52-21−521+521−521−521+521+520000000000
χ1522222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22222−1+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+52−1−52−1−5222-2-2-2-21−521+5221−521−521+521+521−521−521−521−521−521−521+521+521+521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−52-222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521+521−521−521+521+520000000000
χ1622222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22222−1+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+52−1−52−1−52-2-2-2-2-2-21−521+5221−521−521+521+521−521−521−521−521−521−521+521+521+521+521+521+52−1+52−1+52−1+52−1−52−1−52−1−522-2-21−521−521+521+521−521−521−521−521+521+521+521+522−1+52−1−52−1+52−1+52−1−52−1−520000000000
χ172222-222222222222222022-2-2222222-2-2222222-2-2-2-200000000-20000000000000000-2-2-2-2-2-200000000000000000000000022000-200
χ182222-222222222222222022-2-2222222-2-2222222-2-2-2-200000000-20000000000000000-2-2-2-2-2-2000000000000000000000000-2-2000200
χ19222-12222-122222222222-1-12-1-1-1-1-1-1-122-1-1-1-1-1-12222002-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000022002-1-10-10
χ20222-12222-122222222222-1-12-1-1-1-1-1-1-122-1-1-1-1-1-12222002-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000-2-200-211010
χ21222-12222-12222222222-2-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1222200-2111-2-2-1-2-2-2-2111111111111-1-1-1-1-1-100000000000000000000002200-2-1-1010
χ22222-12222-12222222222-2-1-12-1-1-1-1-1-1-122-1-1-1-1-1-1222200-2111-2-2-1-2-2-2-2111111111111-1-1-1-1-1-10000000000000000000000-2-2002110-10
χ2322-12222-1222-1-1-1-1-1-1-1-12-1-1-122-1-12-1-1222-1-12-1-1-1-1-1-122-12-1-122-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-10000000000
χ2422-12222-1222-1-1-1-1-1-1-1-12-1-1-122-1-12-1-1222-1-12-1-1-1-1-1-1-2-2-12-1-122-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-1-211-2-2-2-2111111111-2-211110000000000
χ2522-12222-1222-1-1-1-1-1-1-1-1-2-1-1-122-1-12-1-1222-1-12-1-1-1-1-1-1221-211-2-2-11111-2-21111-2-211112-1-12-1-1-2-1-12222-1-1-1-1-1-1-1-11-2-211110000000000
χ2622-12222-1222-1-1-1-1-1-1-1-1-2-1-1-122-1-12-1-1222-1-12-1-1-1-1-1-1-2-21-211-2-2-11111-2-21111-2-211112-1-12-1-1211-2-2-2-211111111-122-1-1-1-10000000000
χ2722-122−1−52−1+52-12−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ1162-1-1-12−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−1−52−1+52−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ11622-12-1-1−1−52−1+52-1−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−1−52−1−52−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−1+52−1+52−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ1162-1-1−1−52−1−52−1+52−1+52−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116-1−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ1160000000000
χ2822-122−1−52−1+52-12−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ1162-1-1-12−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−1−52−1+52−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116-2-2-12-1-1−1−52−1+52-1−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−1−52−1−52−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−1+52−1+52−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116-2111+521+521−521−52ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ92ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ11611+521−52ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ1160000000000
χ2922-122−1−52−1+52-12−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116-2-1-1-12−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−1−52−1+52−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116221-2111+521−52-1ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ1161+521+52ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ921−521−52ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116-2-1-1−1−52−1−52−1+52−1+52−ζ52−ζ68−ζ52−ζ68−ζ28−ζ92−ζ28−ζ92−ζ44−ζ76−ζ44−ζ76−ζ4−ζ116−ζ4−ζ11611+521−52ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ1160000000000
χ3022-122−1−52−1+52-12−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116-2-1-1-12−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−1−52−1+52−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116-2-21-2111+521−52-1ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ1161+521+52ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ921−521−52ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ1162111+521+521−521−52ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ92ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ116-1−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ1160000000000
χ3122-122−1−52−1+52-12−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ762-1-1-12−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−1−52−1+52−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ7622-12-1-1−1−52−1+52-1−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−1−52−1−52−ζ28−ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ68−1+52−1+52−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ762-1-1−1−52−1−52−1+52−1+52−ζ28−ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ68−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ76-1−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ760000000000
χ3222-122−1−52−1+52-12−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ762-1-1-12−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−1−52−1+52−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76-2-2-12-1-1−1−52−1+52-1−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−1−52−1−52−ζ28−ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ68−1+52−1+52−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76-2111+521+521−521−52ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ68ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ7611+521−52ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ760000000000
χ3322-122−1−52−1+52-12−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76-2-1-1-12−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−1−52−1+52−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76221-2111+521−52-1ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ761+521+52ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ681−521−52ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76-2-1-1−1−52−1−52−1+52−1+52−ζ28−ζ92−ζ28−ζ92−ζ52−ζ68−ζ52−ζ68−ζ4−ζ116−ζ4−ζ116−ζ44−ζ76−ζ44−ζ7611+521−52ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ760000000000
χ3422-122−1−52−1+52-12−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76-2-1-1-12−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−1−52−1+52−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76-2-21-2111+521−52-1ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ761+521+52ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ681−521−52ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ762111+521+521−521−52ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ68ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ76-1−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ760000000000
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χ944-4-240−1−5−1+52-41+51−5−2ζ28−2ζ92−2ζ52−2ζ68−2ζ4−2ζ116−2ζ44−2ζ762ζ28+2ζ922ζ52+2ζ682ζ4+2ζ1162ζ44+2ζ760-2200−1−5−2ζ28−2ζ92−2ζ52−2ζ68−1+5−2ζ4−2ζ116−2ζ44−2ζ76001+52ζ28+2ζ922ζ52+2ζ681−52ζ4+2ζ1162ζ44+2ζ760000−22220000000000000000000000000000002−2ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ13−ζ47+ζ77−ζ103−ζ13+ζ47−ζ77+ζ103−ζ7−ζ23+ζ37+ζ53ζ7+ζ23−ζ37−ζ53−ζ71−ζ79+ζ101+ζ109ζ71+ζ79−ζ101−ζ109ζ29−ζ31+ζ61−ζ119−ζ29+ζ31−ζ61+ζ11900000000000000000
χ954-4-240−1+5−1−52-41−51+5−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ682ζ44+2ζ762ζ4+2ζ1162ζ28+2ζ922ζ52+2ζ680-2200−1+5−2ζ44−2ζ76−2ζ4−2ζ116−1−5−2ζ28−2ζ92−2ζ52−2ζ68001−52ζ44+2ζ762ζ4+2ζ1161+52ζ28+2ζ922ζ52+2ζ68000022−22000000000000000000000000000000−22ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ29+ζ31−ζ61+ζ119ζ29−ζ31+ζ61−ζ119ζ71+ζ79−ζ101−ζ109−ζ71−ζ79+ζ101+ζ109−ζ13+ζ47−ζ77+ζ103ζ13−ζ47+ζ77−ζ103ζ7+ζ23−ζ37−ζ53−ζ7−ζ23+ζ37+ζ5300000000000000000
χ964-4-240−1+5−1−52-41−51+5−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ682ζ44+2ζ762ζ4+2ζ1162ζ28+2ζ922ζ52+2ζ680-2200−1+5−2ζ44−2ζ76−2ζ4−2ζ116−1−5−2ζ28−2ζ92−2ζ52−2ζ68001−52ζ44+2ζ762ζ4+2ζ1161+52ζ28+2ζ922ζ52+2ζ680000−22220000000000000000000000000000002−2−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ29−ζ31+ζ61−ζ119−ζ29+ζ31−ζ61+ζ119−ζ71−ζ79+ζ101+ζ109ζ71+ζ79−ζ101−ζ109ζ13−ζ47+ζ77−ζ103−ζ13+ζ47−ζ77+ζ103−ζ7−ζ23+ζ37+ζ53ζ7+ζ23−ζ37−ζ5300000000000000000
χ974-4-240−1+5−1−52-41−51+5−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ922ζ4+2ζ1162ζ44+2ζ762ζ52+2ζ682ζ28+2ζ920-2200−1+5−2ζ4−2ζ116−2ζ44−2ζ76−1−5−2ζ52−2ζ68−2ζ28−2ζ92001−52ζ4+2ζ1162ζ44+2ζ761+52ζ52+2ζ682ζ28+2ζ92000022−22000000000000000000000000000000−22ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ71+ζ79−ζ101−ζ109−ζ71−ζ79+ζ101+ζ109−ζ29+ζ31−ζ61+ζ119ζ29−ζ31+ζ61−ζ119ζ7+ζ23−ζ37−ζ53−ζ7−ζ23+ζ37+ζ53−ζ13+ζ47−ζ77+ζ103ζ13−ζ47+ζ77−ζ10300000000000000000
χ984-4-240−1+5−1−52-41−51+5−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ922ζ4+2ζ1162ζ44+2ζ762ζ52+2ζ682ζ28+2ζ920-2200−1+5−2ζ4−2ζ116−2ζ44−2ζ76−1−5−2ζ52−2ζ68−2ζ28−2ζ92001−52ζ4+2ζ1162ζ44+2ζ761+52ζ52+2ζ682ζ28+2ζ920000−22220000000000000000000000000000002−2−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ71−ζ79+ζ101+ζ109ζ71+ζ79−ζ101−ζ109ζ29−ζ31+ζ61−ζ119−ζ29+ζ31−ζ61+ζ119−ζ7−ζ23+ζ37+ζ53ζ7+ζ23−ζ37−ζ53ζ13−ζ47+ζ77−ζ103−ζ13+ζ47−ζ77+ζ10300000000000000000
χ998-88-40−2−25−2+25-842+252−25−2−25−2−25−2+25−2+252+252+252−252−250-44001+51+51+51−51−51−500−1−5−1−5−1−5−1+5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-40−2+25−2−25-842−252+25−2+25−2+25−2−25−2−252−252−252+252+250-44001−51−51−51+51+51+500−1+5−1+5−1+5−1−5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-4-408844-8-8-4-4-4-4444402-200-422-422004-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-4-40−2−25−2+25442+252−25−4ζ52−4ζ68−4ζ28−4ζ92−4ζ44−4ζ76−4ζ4−4ζ1164ζ52+4ζ684ζ28+4ζ924ζ44+4ζ764ζ4+4ζ11602-2001+52ζ52+2ζ682ζ28+2ζ921−52ζ44+2ζ762ζ4+2ζ11600−1−5−2ζ52−2ζ68−2ζ28−2ζ92−1+5−2ζ44−2ζ76−2ζ4−2ζ1160000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-4-40−2−25−2+25442+252−25−4ζ28−4ζ92−4ζ52−4ζ68−4ζ4−4ζ116−4ζ44−4ζ764ζ28+4ζ924ζ52+4ζ684ζ4+4ζ1164ζ44+4ζ7602-2001+52ζ28+2ζ922ζ52+2ζ681−52ζ4+2ζ1162ζ44+2ζ7600−1−5−2ζ28−2ζ92−2ζ52−2ζ68−1+5−2ζ4−2ζ116−2ζ44−2ζ760000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-4-40−2+25−2−25442−252+25−4ζ44−4ζ76−4ζ4−4ζ116−4ζ28−4ζ92−4ζ52−4ζ684ζ44+4ζ764ζ4+4ζ1164ζ28+4ζ924ζ52+4ζ6802-2001−52ζ44+2ζ762ζ4+2ζ1161+52ζ28+2ζ922ζ52+2ζ6800−1+5−2ζ44−2ζ76−2ζ4−2ζ116−1−5−2ζ28−2ζ92−2ζ52−2ζ680000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-4-40−2+25−2−25442−252+25−4ζ4−4ζ116−4ζ44−4ζ76−4ζ52−4ζ68−4ζ28−4ζ924ζ4+4ζ1164ζ44+4ζ764ζ52+4ζ684ζ28+4ζ9202-2001−52ζ4+2ζ1162ζ44+2ζ761+52ζ52+2ζ682ζ28+2ζ9200−1+5−2ζ4−2ζ116−2ζ44−2ζ76−1−5−2ζ52−2ζ68−2ζ28−2ζ920000000000000000000000000000000000000000000000000000000000000000000

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