Finite Group Databasebeta

← Group #14429331

Character table — Group #14429331

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1122222222222444444444444444444444488888888888888881010101010102020202020202020202424242424242424242412012011222222222224444444444444444444444888888888888888810101010101020202020202020202024242424242424242424120120
order1223445561010121224666101012121215152020202030306060606010102020303030303030606060606060882424242488824242424242428101010104040404048222644101061010121224666101012121230302020202030306060606010102020303030303030606060606060882424242488824242424242428101010104040404048
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-11-11111-1-1-1-11-11111111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-11-11111-1-1-1-11-1
χ61111111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-11-1-1-1-11111-111111111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111-1-111-1-1-1-1-11-1-1-1-11111-11
χ71111111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111111-11111-1-1-1-1-111111111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111111-11111-1-1-1-1-11
χ81111111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-111111-11111111111111-1-11-1-1111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1-1-111111-1
χ9222222−1−52−1+522−1−52−1+522222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222222−1−52−1+522−1−52−1+522222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200
χ10222222−1−52−1+522−1−52−1+522222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000-2-21+521+521−521−521+521+521−521−5200222222−1−52−1+522−1−52−1+522222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000000-2-21+521+521−521−521+521+521−521−5200
χ11222222−1−52−1+522−1−52−1+5222-2-22-2-2−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−520000000000000002-2−1−52−1−52−1+52−1+521+521+521−521−5200222222−1−52−1+522−1−52−1+5222-2-22-2-2−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−520000000000000002-2−1−52−1−52−1+52−1+521+521+521−521−5200
χ12222222−1−52−1+522−1−52−1+5222-2-22-2-2−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000000000000000-221+521+521−521−52−1−52−1−52−1+52−1+5200222222−1−52−1+522−1−52−1+5222-2-22-2-2−1−52−1+522-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52000000000000000-221+521+521−521−52−1−52−1−52−1+52−1+5200
χ13222222−1+52−1−522−1+52−1−522222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222222−1+52−1−522−1+52−1−522222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200
χ14222222−1+52−1−522−1+52−1−522222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000-2-21−521−521+521+521−521−521+521+5200222222−1+52−1−522−1+52−1−522222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000000-2-21−521−521+521+521−521−521+521+5200
χ15222222−1+52−1−522−1+52−1−5222-2-22-2-2−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+520000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+5200222222−1+52−1−522−1+52−1−5222-2-22-2-2−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+520000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+5200
χ16222222−1+52−1−522−1+52−1−5222-2-22-2-2−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−5200222222−1+52−1−522−1+52−1−5222-2-22-2-2−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−5200
χ172222-2-222222-2-20020022-20022-2-2-2-222-2-2-2-20000220000-2-2000000000002i−2i002i2i−2i−2i0000000000002222-2-222222-2-20020022-20022-2-2-2-222-2-2-2-20000220000-2-2000000000002i−2i002i2i−2i−2i000000000000
χ182222-2-222222-2-20020022-20022-2-2-2-222-2-2-2-20000220000-2-200000000000−2i2i00−2i−2i2i2i0000000000002222-2-222222-2-20020022-20022-2-2-2-222-2-2-2-20000220000-2-200000000000−2i2i00−2i−2i2i2i000000000000
χ19222-12222-122-1-122-1-1-122-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1000000000000222-12222-122-1-122-1-1-122-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1000000000000
χ20222-12222-122-1-122-1-1-122-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2111111000000000000222-12222-122-1-122-1-1-122-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2111111000000000000
χ21222-12222-122-1-1-2-2-11122-111-1-12222-1-1-1-1-1-1-2-2-2-2-1-11111-1-1111122-1-1-1-12-2-2-1-11111000000000000222-12222-122-1-1-2-2-11122-111-1-12222-1-1-1-1-1-1-2-2-2-2-1-11111-1-1111122-1-1-1-12-2-2-1-11111000000000000
χ22222-12222-122-1-1-2-2-11122-111-1-12222-1-1-1-1-1-1-2-2-2-2-1-11111-1-11111-2-21111-22211-1-1-1-1000000000000222-12222-122-1-1-2-2-11122-111-1-12222-1-1-1-1-1-1-2-2-2-2-1-11111-1-11111-2-21111-22211-1-1-1-1000000000000
χ23222-1-2-222-1221100-1−i3i3221−i3i3-1-1-2-2-2-2-1-111110000-1-1−i3i3−i3i311−i3i3−i3i30033−3−302i−2i3−3−i−iii000000000000222-1-2-222-1221100-1−i3i3221−i3i3-1-1-2-2-2-2-1-111110000-1-1−i3i3−i3i311−i3i3−i3i30033−3−302i−2i3−3−i−iii000000000000
χ24222-1-2-222-1221100-1−i3i3221−i3i3-1-1-2-2-2-2-1-111110000-1-1−i3i3−i3i311−i3i3−i3i300−3−3330−2i2i−33ii−i−i000000000000222-1-2-222-1221100-1−i3i3221−i3i3-1-1-2-2-2-2-1-111110000-1-1−i3i3−i3i311−i3i3−i3i300−3−3330−2i2i−33ii−i−i000000000000
χ25222-1-2-222-1221100-1i3−i3221i3−i3-1-1-2-2-2-2-1-111110000-1-1i3−i3i3−i311i3−i3i3−i30033−3−30−2i2i3−3ii−i−i000000000000222-1-2-222-1221100-1i3−i3221i3−i3-1-1-2-2-2-2-1-111110000-1-1i3−i3i3−i311i3−i3i3−i30033−3−30−2i2i3−3ii−i−i000000000000
χ26222-1-2-222-1221100-1i3−i3221i3−i3-1-1-2-2-2-2-1-111110000-1-1i3−i3i3−i311i3−i3i3−i300−3−33302i−2i−33−i−iii000000000000222-1-2-222-1221100-1i3−i3221i3−i3-1-1-2-2-2-2-1-111110000-1-1i3−i3i3−i311i3−i3i3−i300−3−33302i−2i−33−i−iii000000000000
χ2722-222-2222222200-200-2-2-2002222-2-22222220000-2-20000-2-20000222222-200-2-2000000000000000022-222-2222222200-200-2-2-2002222-2-22222220000-2-20000-2-20000222222-200-2-20000000000000000
χ2822-222-2222222200-200-2-2-2002222-2-22222220000-2-20000-2-20000-2-2-2-2-2-220022000000000000000022-222-2222222200-200-2-2-2002222-2-22222220000-2-20000-2-20000-2-2-2-2-2-2200220000000000000000
χ2922-22-2222222-2-22-2-222-2-22-2-222-2-22222-2-2-2-222-2-2-2-2222222-2-2-2-200000000000000000000000000022-22-2222222-2-22-2-222-2-22-2-222-2-22222-2-2-2-222-2-2-2-2222222-2-2-2-2000000000000000000000000000
χ3022-22-2222222-2-2-22-2-2-2-2-222222-2-22222-2-2-2-2-2-222-2-2-2-2-2-222222200000000000000000000000000022-22-2222222-2-2-22-2-2-2-2-222222-2-22222-2-2-2-2-2-222-2-2-2-2-2-2222222000000000000000000000000000
χ3122-22-22−1−52−1+522−1−52−1+52-2-22-2-2221+521−522-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160022-22-22−1−52−1+522−1−52−1+52-2-22-2-2221+521−522-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600
χ3222-22-22−1−52−1+522−1−52−1+52-2-22-2-2221+521−522-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160022-22-22−1−52−1+522−1−52−1+52-2-22-2-2221+521−522-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600
χ3322-22-22−1−52−1+522−1−52−1+52-2-2-22-2-2-21+521−52222−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160022-22-22−1−52−1+522−1−52−1+52-2-2-22-2-2-21+521−52222−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600
χ3422-22-22−1−52−1+522−1−52−1+52-2-2-22-2-2-21+521−52222−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160022-22-22−1−52−1+522−1−52−1+52-2-2-22-2-2-21+521−52222−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600
χ3522-22-22−1+52−1−522−1+52−1−52-2-22-2-2221−521+522-2-2−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920022-22-22−1+52−1−522−1+52−1−52-2-22-2-2221−521+522-2-2−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200
χ3622-22-22−1+52−1−522−1+52−1−52-2-22-2-2221−521+522-2-2−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920022-22-22−1+52−1−522−1+52−1−52-2-22-2-2221−521+522-2-2−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200
χ3722-22-22−1+52−1−522−1+52−1−52-2-2-22-2-2-21−521+52222−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920022-22-22−1+52−1−522−1+52−1−52-2-2-22-2-2-21−521+52222−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200
χ3822-22-22−1+52−1−522−1+52−1−52-2-2-22-2-2-21−521+52222−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920022-22-22−1+52−1−522−1+52−1−52-2-2-22-2-2-21−521+52222−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200
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χ4022-2-12-222-122-1-1001−i3i3-2-21i3−i3-1-122-2-2-1-1-1-1-1-1000011−i3i3−i3i311i3−i3i3−i3-2-21111200-1-1i3−i3i3−i300000000000022-2-12-222-122-1-1001−i3i3-2-21i3−i3-1-122-2-2-1-1-1-1-1-1000011−i3i3−i3i311i3−i3i3−i3-2-21111200-1-1i3−i3i3−i3000000000000
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χ4222-2-12-222-122-1-1001i3−i3-2-21−i3i3-1-122-2-2-1-1-1-1-1-1000011i3−i3i3−i311−i3i3−i3i3-2-21111200-1-1−i3i3−i3i300000000000022-2-12-222-122-1-1001i3−i3-2-21−i3i3-1-122-2-2-1-1-1-1-1-1000011i3−i3i3−i311−i3i3−i3i3-2-21111200-1-1−i3i3−i3i3000000000000
χ4322-2-1-2222-122112-21-1-1-2-2-111-1-1-2-222-1-1111122-2-211-1-1-1-1-1-111110033−3−3000−333−3−3300000000000022-2-1-2222-122112-21-1-1-2-2-111-1-1-2-222-1-1111122-2-211-1-1-1-1-1-111110033−3−3000−333−3−33000000000000
χ4422-2-1-2222-122112-21-1-1-2-2-111-1-1-2-222-1-1111122-2-211-1-1-1-1-1-1111100−3−3330003−3−333−300000000000022-2-1-2222-122112-21-1-1-2-2-111-1-1-2-222-1-1111122-2-211-1-1-1-1-1-1111100−3−3330003−3−333−3000000000000
χ4522-2-1-2222-12211-22111-2-2-1-1-1-1-1-2-222-1-11111-2-222111111-1-1-1-1-1-10033−3−3000−33−333−300000000000022-2-1-2222-12211-22111-2-2-1-1-1-1-1-2-222-1-11111-2-222111111-1-1-1-1-1-10033−3−3000−33−333−3000000000000
χ4622-2-1-2222-12211-22111-2-2-1-1-1-1-1-2-222-1-11111-2-222111111-1-1-1-1-1-100−3−3330003−33−3−3300000000000022-2-1-2222-12211-22111-2-2-1-1-1-1-1-2-222-1-11111-2-222111111-1-1-1-1-1-100−3−3330003−33−3−33000000000000
χ474444-4-4−1−5−1+54−1−5−1+5-4-400400−1−5−1+5-400−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−50000−1−5−1+500001+51−500000000000000000000000000000004444-4-4−1−5−1+54−1−5−1+5-4-400400−1−5−1+5-400−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−50000−1−5−1+500001+51−50000000000000000000000000000000
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χ49444-244−1−5−1+5-2−1−5−1+5-2-244-2-2-2−1−5−1+5-2-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521−521+521+521−521−52000000000000000000000000000444-244−1−5−1+5-2−1−5−1+5-2-244-2-2-2−1−5−1+5-2-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521−521+521+521−521−52000000000000000000000000000
χ50444-244−1−5−1+5-2−1−5−1+5-2-2-4-4-222−1−5−1+5-2221+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52000000000000000000000000000444-244−1−5−1+5-2−1−5−1+5-2-2-4-4-222−1−5−1+5-2221+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52000000000000000000000000000
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χ93222222−1+52−1−522−1+52−1−5222-2-22-2-2−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+520000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+5200-2-2-2-2-2-21−521+52-21−521+52-2-222-2221−521+52-2221−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−5200
χ94222222−1+52−1−522−1+52−1−5222-2-22-2-2−1+52−1−522-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52000000000000000-221−521−521+521+52−1+52−1+52−1−52−1−5200-2-2-2-2-2-21−521+52-21−521+52-2-222-2221−521+52-2221−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−520000000000000002-2−1+52−1+52−1−52−1−521−521−521+521+5200
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χ97222-12222-122-1-122-1-1-122-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222-1-1-1-1-1-1000000000000-2-2-21-2-2-2-21-2-211-2-2111-2-211111-2-2-2-2111111-2-2-2-2111111111111-2-21111-2-2-2111111000000000000
χ98222-12222-122-1-122-1-1-122-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2111111000000000000-2-2-21-2-2-2-21-2-211-2-2111-2-211111-2-2-2-2111111-2-2-2-211111111111122-1-1-1-1222-1-1-1-1-1-1000000000000
χ99222-12222-122-1-1-2-2-11122-111-1-12222-1-1-1-1-1-1-2-2-2-2-1-11111-1-1111122-1-1-1-12-2-2-1-11111000000000000-2-2-21-2-2-2-21-2-211221-1-1-2-21-1-111-2-2-2-2111111222211-1-1-1-111-1-1-1-1-2-21111-22211-1-1-1-1000000000000
χ100222-12222-122-1-1-2-2-11122-111-1-12222-1-1-1-1-1-1-2-2-2-2-1-11111-1-11111-2-21111-22211-1-1-1-1000000000000-2-2-21-2-2-2-21-2-211221-1-1-2-21-1-111-2-2-2-2111111222211-1-1-1-111-1-1-1-122-1-1-1-12-2-2-1-11111000000000000
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χ102222-1-2-222-1221100-1−i3i3221−i3i3-1-1-2-2-2-2-1-111110000-1-1−i3i3−i3i311−i3i3−i3i300−3−3330−2i2i−33ii−i−i000000000000-2-2-2122-2-21-2-2-1-1001i3−i3-2-2-1i3−i311222211-1-1-1-1000011i3−i3i3−i3-1-1i3−i3i3−i30033−3−302i−2i3−3−i−iii000000000000
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χ10522-222-2222222200-200-2-2-2002222-2-22222220000-2-20000-2-20000222222-200-2-20000000000000000-2-22-2-22-2-2-2-2-2-2-20020022200-2-2-2-222-2-2-2-2-2-20000220000220000-2-2-2-2-2-2200220000000000000000
χ10622-222-2222222200-200-2-2-2002222-2-22222220000-2-20000-2-20000-2-2-2-2-2-2200220000000000000000-2-22-2-22-2-2-2-2-2-2-20020022200-2-2-2-222-2-2-2-2-2-20000220000220000222222-200-2-20000000000000000
χ10722-22-2222222-2-22-2-222-2-22-2-222-2-22222-2-2-2-222-2-2-2-2222222-2-2-2-2000000000000000000000000000-2-22-22-2-2-2-2-2-222-222-2-222-222-2-222-2-2-2-22222-2-22222-2-2-2-2-2-22222000000000000000000000000000
χ10822-22-2222222-2-2-22-2-2-2-2-222222-2-22222-2-2-2-2-2-222-2-2-2-2-2-2222222000000000000000000000000000-2-22-22-2-2-2-2-2-2222-222222-2-2-2-2-222-2-2-2-2222222-2-2222222-2-2-2-2-2-2000000000000000000000000000
χ10922-22-22−1−52−1+522−1−52−1+52-2-22-2-2221+521−522-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600-2-22-22-21+521−52-21+521−5222-222-2-2−1−52−1+52-2221+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+5200000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600
χ11022-22-22−1−52−1+522−1−52−1+52-2-22-2-2221+521−522-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600-2-22-22-21+521−52-21+521−5222-222-2-2−1−52−1+52-2221+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+5200000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600
χ11122-22-22−1−52−1+522−1−52−1+52-2-2-22-2-2-21+521−52222−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600-2-22-22-21+521−52-21+521−52222-2222−1−52−1+52-2-2-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−5200000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600
χ11222-22-22−1−52−1+522−1−52−1+52-2-2-22-2-2-21+521−52222−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600-2-22-22-21+521−52-21+521−52222-2222−1−52−1+52-2-2-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−5200000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600
χ11322-22-22−1+52−1−522−1+52−1−52-2-22-2-2221−521+522-2-2−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200-2-22-22-21−521+52-21−521+5222-222-2-2−1+52−1−52-2221−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−5200000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200
χ11422-22-22−1+52−1−522−1+52−1−52-2-22-2-2221−521+522-2-2−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200-2-22-22-21−521+52-21−521+5222-222-2-2−1+52−1−52-2221−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−5200000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200
χ11522-22-22−1+52−1−522−1+52−1−52-2-2-22-2-2-21−521+52222−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200-2-22-22-21−521+52-21−521+52222-2222−1+52−1−52-2-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+5200000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200
χ11622-22-22−1+52−1−522−1+52−1−52-2-2-22-2-2-21−521+52222−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200-2-22-22-21−521+52-21−521+52222-2222−1+52−1−52-2-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+5200000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200
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χ1538-80-400−2−25−2+2542+252−2543−4300000000001+51−50000−1−5−1+5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ940000000000000000000000000000000000000000000-8804002+252−25-4−2−25−2+25−43430000000000−1−5−1+500001+51−52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ940000000000000000000000000000000000000000000
χ1548-80-400−2−25−2+2542+252−25−434300000000001+51−50000−1−5−1+52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ940000000000000000000000000000000000000000000-8804002+252−25-4−2−25−2+2543−430000000000−1−5−1+500001+51−5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ940000000000000000000000000000000000000000000
χ1558-80-400−2+25−2−2542−252+2543−4300000000001−51+50000−1+5−1−52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1180000000000000000000000000000000000000000000-8804002−252+25-4−2+25−2−25−43430000000000−1+5−1−500001−51+5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ1180000000000000000000000000000000000000000000
χ1568-80-400−2+25−2−2542−252+25−434300000000001−51+50000−1+5−1−5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ1180000000000000000000000000000000000000000000-8804002−252+25-4−2+25−2−2543−430000000000−1+5−1−500001−51+52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1180000000000000000000000000000000000000000000

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