Finite Group Databasebeta

← Group #14318208

Character table — Group #14318208

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size112222222222222224444444444444444444444444466888888888888812121212121212121212121212121212121212161616161616161616161616161616404040404040404048484848488080120120120120
order1223445568810101010101068121215152020202024243030303030304040404040404040882460606060120120120120120120120120448202020202020202040404040404040404121220202020606060606060606024161648484848420202020612881616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111
χ81111111111111111111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1
χ9222222222-2-22222222-222222222-2-2222222-2-2-2-2-2-2-2-222-22222-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ10222222222-2-22222222-222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ11222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+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+52222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+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+52000000002−1−52−1−52−1+52−1+52000000
χ12222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+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+52222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-21+521+521−521−521+521+521+521+521−521−521−521−5200000000-21+521+521−521−52000000
χ13222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+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+52-2-22−1−52−1+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+521−521−521−521−52222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-21+521+521−521−52000000
χ14222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+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+52-2-22−1−52−1+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+521−521−521−521−52-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52000000002−1−52−1−52−1+52−1+52000000
χ15222222−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+522-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
χ16222222−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+522-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000
χ17222222−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+522-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000
χ18222222−1−52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+522-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
χ19222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000002−1+52−1+52−1−52−1−52000000
χ20222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+521−521−521−521−521+521+521+521+5200000000-21−521−521+521+52000000
χ21222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-22−1+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+521−521−521−521−521+521+521+521+52222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-21−521−521+521+52000000
χ22222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−52−1−52−1−52-2-22−1+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+521−521−521−521−521+521+521+521+52-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52000000002−1+52−1+52−1−52−1−52000000
χ23222222−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−522-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ24222222−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−522-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000
χ25222222−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−522-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000
χ26222222−1+52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−522-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ27222-12222-122222222-12-1-1-1-12222-1-1-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000002-1-12222-1-1-1-1-1-1-1-12222-1-1-1-100000-1-10000
χ28222-12222-122222222-12-1-1-1-12222-1-1-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000002-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111100000110000
χ29222-12222-122222222-12-1-1-1-12222-1-1-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-211-2-2-2-21111111122-2-2111100000-1-10000
χ30222-12222-122222222-12-1-1-1-12222-1-1-1-1-1-1-1-12222222200-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-211-2-2-2-211111111-2-222-1-1-1-100000110000
χ3122-222-22222222-2-2-2-2-2-2-222222-2-22222-2-2-2-222-2-222-2-200-2-2-22222-2-222-2-200000000000000000000000000000000000000000000000002i−2i00
χ3222-222-22222222-2-2-2-2-2-2-222222-2-22222-2-2-2-222-2-222-2-200-2-2-22222-2-222-2-20000000000000000000000000000000000000000000000000−2i2i00
χ3322-222-2222-2-222-2-2-2-2-22-222222-2-2-2-222-2-2-2-2-2-222-2-222002-2-222-2-222-2-22200000000000000000000000000000000002-2000000000002-20000
χ3422-222-2222-2-222-2-2-2-2-22-222222-2-2-2-222-2-2-2-2-2-222-2-222002-2-222-2-222-2-2220000000000000000000000000000000000-2200000000000-220000
χ3522-22-222220022-2-2-2-2-202-222-2-2220022-2-2-2-20000000022022-2-20000000000-20000000022-2-222-2-200000000000000000−i2i2−i2−i2i2i2000000000−i2i2
χ3622-22-222220022-2-2-2-2-202-222-2-2220022-2-2-2-20000000022022-2-20000000000-20000000022-2-222-2-200000000000000000i2−i2i2i2−i2−i2000000000i2−i2
χ3722-22-222220022-2-2-2-2-202-222-2-2220022-2-2-2-200000000-2-2022-2-20000000000200000000-2-222-2-22200000000000000000−i2i2−i2−i2i2i2000000000i2−i2
χ3822-22-222220022-2-2-2-2-202-222-2-2220022-2-2-2-200000000-2-2022-2-20000000000200000000-2-222-2-22200000000000000000i2−i2i2i2−i2−i2000000000−i2i2
χ3922-2-12-222-1-2-222-2-2-2-2121-1-1-122-2-211-1-11111-2-222-2-22200-111-1-111-1-111-1-1000000000000000000003−300003−33−33−33−32-2003−33−300000-110000
χ4022-2-12-222-1-2-222-2-2-2-2121-1-1-122-2-211-1-11111-2-222-2-22200-111-1-111-1-111-1-1000000000000000000003−300003−33−33−33−3-2200−33−33000001-10000
χ4122-2-12-222-1-2-222-2-2-2-2121-1-1-122-2-211-1-11111-2-222-2-22200-111-1-111-1-111-1-100000000000000000000−330000−33−33−33−332-200−33−3300000-110000
χ4222-2-12-222-1-2-222-2-2-2-2121-1-1-122-2-211-1-11111-2-222-2-22200-111-1-111-1-111-1-100000000000000000000−330000−33−33−33−33-22003−33−3000001-10000
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χ1048-80-400−2−25−2+254−4i24i22+252−25−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ924ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ11600001+51−500002i2−2i2−1−5−1+52ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1162ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ1190000000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−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+ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ11900000000000000000000000000000000000000000000000000000
χ1058-80-400−2−25−2+254−4i24i22+252−254ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ11600001+51−500002i2−2i2−1−5−1+5−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1032ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1190000000−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103ζ7−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+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ11900000000000000000000000000000000000000000000000000000
χ1068-80-400−2−25−2+2544i2−4i22+252−25−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ924ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ11600001+51−50000−2i22i2−1−5−1+52ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1190000000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103ζ7−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−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ11900000000000000000000000000000000000000000000000000000
χ1078-80-400−2−25−2+2544i2−4i22+252−254ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ11600001+51−50000−2i22i2−1−5−1+5−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ103−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ1190000000ζ7+ζ13+ζ23+ζ37+ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23−ζ37−ζ47−ζ53−ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29−ζ31−ζ61−ζ71+ζ79−ζ101+ζ109+ζ119−ζ29+ζ31+ζ61+ζ71−ζ79+ζ101−ζ109−ζ11900000000000000000000000000000000000000000000000000000
χ1088-80-400−2+25−2−254−4i24i22−252+254ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1164ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ9200001−51+500002i2−2i2−1+5−1−5−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1030000000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−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+ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ10300000000000000000000000000000000000000000000000000000
χ1098-80-400−2+25−2−254−4i24i22−252+25−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ9200001−51+500002i2−2i2−1+5−1−52ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ922ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ1192ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1030000000−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119ζ29−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+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ10300000000000000000000000000000000000000000000000000000
χ1108-80-400−2+25−2−2544i2−4i22−252+254ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1164ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ9200001−51+50000−2i22i2−1+5−1−5−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ1030000000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119ζ29−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−ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ103−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ10300000000000000000000000000000000000000000000000000000
χ1118-80-400−2+25−2−2544i2−4i22−252+25−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ9200001−51+50000−2i22i2−1+5−1−52ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ29−2ζ31−2ζ61−2ζ71−2ζ79−2ζ101−2ζ109−2ζ1192ζ29+2ζ31+2ζ61+2ζ71+2ζ79+2ζ101+2ζ109+2ζ1192ζ29−2ζ31−2ζ61−2ζ71+2ζ79−2ζ101+2ζ109+2ζ119−2ζ29+2ζ31+2ζ61+2ζ71−2ζ79+2ζ101−2ζ109−2ζ119−2ζ7−2ζ13−2ζ23−2ζ37−2ζ47−2ζ53−2ζ77−2ζ1032ζ7+2ζ13+2ζ23+2ζ37+2ζ47+2ζ53+2ζ77+2ζ1032ζ7−2ζ13−2ζ23+2ζ37+2ζ47−2ζ53+2ζ77−2ζ103−2ζ7+2ζ13+2ζ23−2ζ37−2ζ47+2ζ53−2ζ77+2ζ1030000000ζ29+ζ31+ζ61+ζ71+ζ79+ζ101+ζ109+ζ119−ζ29−ζ31−ζ61−ζ71−ζ79−ζ101−ζ109−ζ119−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−ζ7+ζ13+ζ23−ζ37−ζ47+ζ53−ζ77+ζ103ζ7−ζ13−ζ23+ζ37+ζ47−ζ53+ζ77−ζ10300000000000000000000000000000000000000000000000000000

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