Finite Group Databasebeta

← Group #13087505

Character table — Group #13087505

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11222222222222222224444444444444444444444444668888888888888888888888888888121212121212121212121212121212151524242424242424303030606060609090180
order1233455661010151515153030303023666121215151515151520203030303030306060606088666101012303030303030303030303030303030306060606060604242440404040120120120120120120120120441220206060606021212461212882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-1-1
χ411111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111-11-1-111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111111111111111-1-1-1-1-1-1-1111-11-1-111-1
χ61111111111111111111-11-1-111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111-11-1-1111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-11
χ81111111111111111111-11-1-1111111111111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-11111-1
χ922222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+5222222−1−52−1+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+52002−1−52−1+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+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+52−1−52−1−52−1+52−1+52-2-2222−1−52−1+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+521−521−521−521−5200-21+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+52-22-2-2222−1−52−1−52−1−52−1+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+5222-2-2-21+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+5200-21+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+52-22-2-2222−1−52−1−52−1−52−1+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+52-2-2-2-2-21+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+521−521−521−521−52002−1−52−1+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+52−1−52−1−522222222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−52002−1+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+52−1−52−1−522222222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2222−1+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+5200-21−521+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+52−1−52−1−52-22-2-2222−1+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+52−1−52−1−5222-2-2-21−521+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+52−1−52−1−52−1−52−1−5200-21−521+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+52−1−52−1−52-22-2-2222−1+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+52−1−52−1−52-2-2-2-2-21−521+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+52002−1+52−1−52−1+52−1+52−1−52−1−520000000000
χ172222-22222222222222202002-2-2222222-2-2222222-2-2-2-20000000-20000000000000000-2-2-2-2-2-2000000000000000220000000-2220-200000
χ182222-22222222222222202002-2-2222222-2-2222222-2-2-2-20000000-20000000000000000-2-2-2-2-2-2000000000000000-2-200000002-2-20200000
χ19222-12222-122222222222-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222002-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000002200000002-1-12-1-1-1000
χ20222-12222-122222222222-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222002-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000-2-20000000-211-2111000
χ21222-12222-12222222222-2-111-1-12-1-1-1-1-1-122-1-1-1-1-1-1222200-211-2-2-1-2-2-2-2111111111111-1-1-1-1-1-10000000000000002200000002-1-1-2-111000
χ22222-12222-12222222222-2-111-1-12-1-1-1-1-1-122-1-1-1-1-1-1222200-211-2-2-1-2-2-2-2111111111111-1-1-1-1-1-1000000000000000-2-20000000-21121-1-1000
χ23222-1-2222-122222222220-1−i3i3-11-2-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2000−i3i30010000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3111111000000000000000220000000-2-1-101−i3i3000
χ24222-1-2222-122222222220-1−i3i3-11-2-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2000−i3i30010000−i3−i3−i3i3i3i3−i3−i3−i3i3i3i3111111000000000000000-2-200000002110-1i3−i3000
χ25222-1-2222-122222222220-1i3−i3-11-2-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2000i3−i30010000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3111111000000000000000220000000-2-1-101i3−i3000
χ26222-1-2222-122222222220-1i3−i3-11-2-1-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2000i3−i30010000i3i3i3−i3−i3−i3i3i3i3−i3−i3−i3111111000000000000000-2-200000002110-1−i3i3000
χ2722-12222-1222-1-1-1-1-1-1-1-12-122-12-12-1-12-1-1222-1-12-1-1-1-1-1-122-1-1-122-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-100-122-1-1-1-10000000000
χ2822-12222-1222-1-1-1-1-1-1-1-12-122-12-12-1-12-1-1222-1-12-1-1-1-1-1-1-2-2-1-1-122-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1-211-2-2-2-211111111001-2-211110000000000
χ2922-12222-1222-1-1-1-1-1-1-1-1-2-1-2-2-12-12-1-12-1-1222-1-12-1-1-1-1-1-122111-2-2-11111-211-211-211-2112-1-12-1-1-2-1-12222-1-1-1-1-1-1-1-1001-2-211110000000000
χ3022-12222-1222-1-1-1-1-1-1-1-1-2-1-2-2-12-12-1-12-1-1222-1-12-1-1-1-1-1-1-2-2111-2-2-11111-211-211-211-2112-1-12-1-1211-2-2-2-21111111100-122-1-1-1-10000000000
χ3122-122−1−52−1+52-12−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ1162-122-12-1−1−52−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−ζ11622-1-1-1−1−52−1+52-1−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−1+52−ζ44−ζ76−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−ζ11600-1−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ1160000000000
χ3222-122−1−52−1+52-12−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ1162-122-12-1−1−52−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−ζ116-2-2-1-1-1−1−52−1+52-1−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ116−1+52−ζ44−ζ76−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+ζ1160011+521−52ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ1160000000000
χ3322-122−1−52−1+52-12−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116-2-1-2-2-12-1−1−52−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−ζ116221111+521−52-1ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ1161+52ζ52+ζ68ζ28+ζ921+52ζ52+ζ68ζ28+ζ921−52ζ44+ζ76ζ4+ζ1161−52ζ44+ζ76ζ4+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−ζ1160011+521−52ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ1160000000000
χ3422-122−1−52−1+52-12−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ116-2-1-2-2-12-1−1−52−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−ζ116-2-21111+521−52-1ζ52+ζ68ζ28+ζ92ζ44+ζ76ζ4+ζ1161+52ζ52+ζ68ζ28+ζ921+52ζ52+ζ68ζ28+ζ921−52ζ44+ζ76ζ4+ζ1161−52ζ44+ζ76ζ4+ζ116−1−52−ζ52−ζ68−ζ28−ζ92−1+52−ζ44−ζ76−ζ4−ζ1162111+521+521−521−52ζ52+ζ68ζ52+ζ68ζ28+ζ92ζ28+ζ92ζ44+ζ76ζ44+ζ76ζ4+ζ116ζ4+ζ11600-1−1−52−1+52−ζ52−ζ68−ζ28−ζ92−ζ44−ζ76−ζ4−ζ1160000000000
χ3522-122−1−52−1+52-12−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ762-122-12-1−1−52−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−ζ7622-1-1-1−1−52−1+52-1−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−1+52−ζ4−ζ116−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−ζ7600-1−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ760000000000
χ3622-122−1−52−1+52-12−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ762-122-12-1−1−52−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−ζ76-2-2-1-1-1−1−52−1+52-1−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ76−1+52−ζ4−ζ116−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+ζ760011+521−52ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ760000000000
χ3722-122−1−52−1+52-12−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76-2-1-2-2-12-1−1−52−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−ζ76221111+521−52-1ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ761+52ζ28+ζ92ζ52+ζ681+52ζ28+ζ92ζ52+ζ681−52ζ4+ζ116ζ44+ζ761−52ζ4+ζ116ζ44+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−ζ760011+521−52ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ760000000000
χ3822-122−1−52−1+52-12−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ76-2-1-2-2-12-1−1−52−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−ζ76-2-21111+521−52-1ζ28+ζ92ζ52+ζ68ζ4+ζ116ζ44+ζ761+52ζ28+ζ92ζ52+ζ681+52ζ28+ζ92ζ52+ζ681−52ζ4+ζ116ζ44+ζ761−52ζ4+ζ116ζ44+ζ76−1−52−ζ28−ζ92−ζ52−ζ68−1+52−ζ4−ζ116−ζ44−ζ762111+521+521−521−52ζ28+ζ92ζ28+ζ92ζ52+ζ68ζ52+ζ68ζ4+ζ116ζ4+ζ116ζ44+ζ76ζ44+ζ7600-1−1−52−1+52−ζ28−ζ92−ζ52−ζ68−ζ4−ζ116−ζ44−ζ760000000000
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χ954-4-240−1−5−1+52-41+51−5−2ζ52−2ζ68−2ζ28−2ζ92−2ζ44−2ζ76−2ζ4−2ζ1162ζ52+2ζ682ζ28+2ζ922ζ44+2ζ762ζ4+2ζ1160-200200−1−5−2ζ52−2ζ68−2ζ28−2ζ92−1+5−2ζ44−2ζ76−2ζ4−2ζ116001+52ζ52+2ζ682ζ28+2ζ921−52ζ44+2ζ762ζ4+2ζ11600002i2−2i200000000000000000000000000000−i2i2−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ7+ζ23+ζ37+ζ53−ζ7−ζ23−ζ37−ζ53ζ13+ζ47+ζ77+ζ103−ζ13−ζ47−ζ77−ζ103ζ29+ζ31+ζ61+ζ119−ζ29−ζ31−ζ61−ζ119ζ71+ζ79+ζ101+ζ109−ζ71−ζ79−ζ101−ζ1090000000000000000000
χ964-4-240−1−5−1+52-41+51−5−2ζ28−2ζ92−2ζ52−2ζ68−2ζ4−2ζ116−2ζ44−2ζ762ζ28+2ζ922ζ52+2ζ682ζ4+2ζ1162ζ44+2ζ760-200200−1−5−2ζ28−2ζ92−2ζ52−2ζ68−1+5−2ζ4−2ζ116−2ζ44−2ζ76001+52ζ28+2ζ922ζ52+2ζ681−52ζ4+2ζ1162ζ44+2ζ760000−2i22i200000000000000000000000000000i2−i2ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−ζ13−ζ47−ζ77−ζ103ζ13+ζ47+ζ77+ζ103−ζ7−ζ23−ζ37−ζ53ζ7+ζ23+ζ37+ζ53−ζ71−ζ79−ζ101−ζ109ζ71+ζ79+ζ101+ζ109−ζ29−ζ31−ζ61−ζ119ζ29+ζ31+ζ61+ζ1190000000000000000000
χ974-4-240−1−5−1+52-41+51−5−2ζ28−2ζ92−2ζ52−2ζ68−2ζ4−2ζ116−2ζ44−2ζ762ζ28+2ζ922ζ52+2ζ682ζ4+2ζ1162ζ44+2ζ760-200200−1−5−2ζ28−2ζ92−2ζ52−2ζ68−1+5−2ζ4−2ζ116−2ζ44−2ζ76001+52ζ28+2ζ922ζ52+2ζ681−52ζ4+2ζ1162ζ44+2ζ7600002i2−2i200000000000000000000000000000−i2i2−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+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−ζ103ζ7+ζ23+ζ37+ζ53−ζ7−ζ23−ζ37−ζ53ζ71+ζ79+ζ101+ζ109−ζ71−ζ79−ζ101−ζ109ζ29+ζ31+ζ61+ζ119−ζ29−ζ31−ζ61−ζ1190000000000000000000
χ984-4-240−1+5−1−52-41−51+5−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ682ζ44+2ζ762ζ4+2ζ1162ζ28+2ζ922ζ52+2ζ680-200200−1+5−2ζ44−2ζ76−2ζ4−2ζ116−1−5−2ζ28−2ζ92−2ζ52−2ζ68001−52ζ44+2ζ762ζ4+2ζ1161+52ζ28+2ζ922ζ52+2ζ680000−2i22i200000000000000000000000000000i2−i2ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103−ζ29−ζ31−ζ61−ζ119ζ29+ζ31+ζ61+ζ119−ζ71−ζ79−ζ101−ζ109ζ71+ζ79+ζ101+ζ109−ζ13−ζ47−ζ77−ζ103ζ13+ζ47+ζ77+ζ103−ζ7−ζ23−ζ37−ζ53ζ7+ζ23+ζ37+ζ530000000000000000000
χ994-4-240−1+5−1−52-41−51+5−2ζ44−2ζ76−2ζ4−2ζ116−2ζ28−2ζ92−2ζ52−2ζ682ζ44+2ζ762ζ4+2ζ1162ζ28+2ζ922ζ52+2ζ680-200200−1+5−2ζ44−2ζ76−2ζ4−2ζ116−1−5−2ζ28−2ζ92−2ζ52−2ζ68001−52ζ44+2ζ762ζ4+2ζ1161+52ζ28+2ζ922ζ52+2ζ6800002i2−2i200000000000000000000000000000−i2i2−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103ζ29+ζ31+ζ61+ζ119−ζ29−ζ31−ζ61−ζ119ζ71+ζ79+ζ101+ζ109−ζ71−ζ79−ζ101−ζ109ζ13+ζ47+ζ77+ζ103−ζ13−ζ47−ζ77−ζ103ζ7+ζ23+ζ37+ζ53−ζ7−ζ23−ζ37−ζ530000000000000000000
χ1004-4-240−1+5−1−52-41−51+5−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ922ζ4+2ζ1162ζ44+2ζ762ζ52+2ζ682ζ28+2ζ920-200200−1+5−2ζ4−2ζ116−2ζ44−2ζ76−1−5−2ζ52−2ζ68−2ζ28−2ζ92001−52ζ4+2ζ1162ζ44+2ζ761+52ζ52+2ζ682ζ28+2ζ920000−2i22i200000000000000000000000000000i2−i2ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−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+ζ109−ζ29−ζ31−ζ61−ζ119ζ29+ζ31+ζ61+ζ119−ζ7−ζ23−ζ37−ζ53ζ7+ζ23+ζ37+ζ53−ζ13−ζ47−ζ77−ζ103ζ13+ζ47+ζ77+ζ1030000000000000000000
χ1014-4-240−1+5−1−52-41−51+5−2ζ4−2ζ116−2ζ44−2ζ76−2ζ52−2ζ68−2ζ28−2ζ922ζ4+2ζ1162ζ44+2ζ762ζ52+2ζ682ζ28+2ζ920-200200−1+5−2ζ4−2ζ116−2ζ44−2ζ76−1−5−2ζ52−2ζ68−2ζ28−2ζ92001−52ζ4+2ζ1162ζ44+2ζ761+52ζ52+2ζ682ζ28+2ζ9200002i2−2i200000000000000000000000000000−i2i2−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+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−ζ109ζ29+ζ31+ζ61+ζ119−ζ29−ζ31−ζ61−ζ119ζ7+ζ23+ζ37+ζ53−ζ7−ζ23−ζ37−ζ53ζ13+ζ47+ζ77+ζ103−ζ13−ζ47−ζ77−ζ1030000000000000000000
χ1028-88-40−2−25−2+25-842+252−25−2−25−2−25−2+25−2+252+252+252−252−250-4004001+51+51+51−51−51−500−1−5−1−5−1−5−1+5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-40−2+25−2−25-842−252+25−2+25−2+25−2−25−2−252−252−252+252+250-4004001−51−51−51+51+51+500−1+5−1+5−1+5−1−5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-4-408844-8-8-4-4-4-444440200-200-422-422004-2-24-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-4-40−2−25−2+25442+252−25−4ζ52−4ζ68−4ζ28−4ζ92−4ζ44−4ζ76−4ζ4−4ζ1164ζ52+4ζ684ζ28+4ζ924ζ44+4ζ764ζ4+4ζ1160200-2001+52ζ52+2ζ682ζ28+2ζ921−52ζ44+2ζ762ζ4+2ζ11600−1−5−2ζ52−2ζ68−2ζ28−2ζ92−1+5−2ζ44−2ζ76−2ζ4−2ζ11600000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-4-40−2−25−2+25442+252−25−4ζ28−4ζ92−4ζ52−4ζ68−4ζ4−4ζ116−4ζ44−4ζ764ζ28+4ζ924ζ52+4ζ684ζ4+4ζ1164ζ44+4ζ760200-2001+52ζ28+2ζ922ζ52+2ζ681−52ζ4+2ζ1162ζ44+2ζ7600−1−5−2ζ28−2ζ92−2ζ52−2ζ68−1+5−2ζ4−2ζ116−2ζ44−2ζ7600000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-4-40−2+25−2−25442−252+25−4ζ44−4ζ76−4ζ4−4ζ116−4ζ28−4ζ92−4ζ52−4ζ684ζ44+4ζ764ζ4+4ζ1164ζ28+4ζ924ζ52+4ζ680200-2001−52ζ44+2ζ762ζ4+2ζ1161+52ζ28+2ζ922ζ52+2ζ6800−1+5−2ζ44−2ζ76−2ζ4−2ζ116−1−5−2ζ28−2ζ92−2ζ52−2ζ6800000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-4-40−2+25−2−25442−252+25−4ζ4−4ζ116−4ζ44−4ζ76−4ζ52−4ζ68−4ζ28−4ζ924ζ4+4ζ1164ζ44+4ζ764ζ52+4ζ684ζ28+4ζ920200-2001−52ζ4+2ζ1162ζ44+2ζ761+52ζ52+2ζ682ζ28+2ζ9200−1+5−2ζ4−2ζ116−2ζ44−2ζ76−1−5−2ζ52−2ζ68−2ζ28−2ζ9200000000000000000000000000000000000000000000000000000000000000000000

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