Finite Group Databasebeta

← Group #14289236

Character table — Group #14289236

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222224444444444444444444444488888888888888121216161616161616161616161616161620202020202020202020202024242424242424242424242424242424242424404060608080120120120
order12223444455666101010101010412121212121215152020202020202020303030303030202060606060606060606060606022266101010103030303030303030888824242424242424244881010101020202020404040404040404044441212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-11111111-1-1
χ5111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1
χ6111111111111111111111111111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-111111111-1-111-1-11-1-1
χ8111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-111
χ9222222222−1−52−1+52222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000
χ10222222222−1−52−1+52222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+5222-2-2-21+521+521−521−521+521+521+521+521−521−521−521−520000000000002-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000000
χ11222222222−1−52−1+52222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-2222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000-2-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52000000000
χ12222222222−1−52−1+52222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-2-2-21+521+521−521−521+521+521+521+521−521−521−521−52000000000000-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000
χ13222222222−1+52−1−52222−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000
χ14222222222−1+52−1−52222−1+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+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−5222-2-2-21−521−521+521+521−521−521−521−521+521+521+521+520000000000002-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000000
χ15222222222−1+52−1−52222−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000-2-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52000000000
χ16222222222−1+52−1−52222−1+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+52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-2-2-21−521−521+521+521−521−521−521−521+521+521+521+52000000000000-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000
χ17222222-22-222222222222-222-2-2-2-22222-2-2-2-222222222-2-222-2-2-2-222-2-2-2-222000000000000000000000000000-2002222-2-2-2-200000000000000000
χ18222222-22-222222222222-222-2-2-2-22222-2-2-2-222222222-2-222-2-2-2-222-2-2-2-2-2-2000000000000000000000000000200-2-2-2-2222200000000000000000
χ19222222-22-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1−521+521+521+521+52−1+52−1+521−521−521−521−5222000−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+ζ116000000000000-200−1−52−1−52−1+52−1+521+521+521−521−52−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
χ20222222-22-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1−521+521+521+521+52−1+52−1+521−521−521−521−5222000ζ28−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−ζ116000000000000-200−1−52−1−52−1+52−1+521+521+521−521−52ζ28−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
χ21222222-22-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1−521+521+521+521+52−1+52−1+521−521−521−521−52-2-2000−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+ζ1160000000000002001+521+521−521−52−1−52−1−52−1+52−1+52ζ28−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
χ22222222-22-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521−52−1−52−1−521+521+521+521+52−1+52−1+521−521−521−521−52-2-2000ζ28−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−ζ1160000000000002001+521+521−521−52−1−52−1−52−1+52−1+52−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
χ23222222-22-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1+521−521−521−521−52−1−52−1−521+521+521+521+5222000ζ4+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+ζ92000000000000-200−1+52−1+52−1−52−1−521−521−521+521+52ζ4+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
χ24222222-22-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1+521−521−521−521−52−1−52−1−521+521+521+521+5222000−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−ζ92000000000000-200−1+52−1+52−1−52−1−521−521−521+521+52−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
χ25222222-22-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1+521−521−521−521−52−1−52−1−521+521+521+521+52-2-2000ζ4+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+ζ920000000000002001−521−521+521+52−1+52−1+52−1−52−1−52−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
χ26222222-22-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521+52−1+52−1+521−521−521−521−52−1−52−1−521+521+521+521+52-2-2000−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−ζ920000000000002001−521−521+521+52−1+52−1+52−1−52−1−52ζ4+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
χ2722222-22-2222222222222-2-2-222-2-222-2-22222-2-2222222-2-2-2-222-2-2-2-222-2-2000000000000000000000000000000000000000000000000002200-200
χ2822222-22-2222222222222-2-2-222-2-222-2-22222-2-2222222-2-2-2-222-2-2-2-222-2-200000000000000000000000000000000000000000000000000-2-200200
χ2922222-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2220000000000000000000000000000000000000000000000002-2002-2000
χ3022222-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-222000000000000000000000000000000000000000000000000-2200-22000
χ312222-1222222-1-1-12222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000000002200-1-1000
χ322222-1222222-1-1-12222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1002-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000-2-20011000
χ332222-1222222-1-1-12222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-211-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000000-2-20011000
χ342222-1222222-1-1-12222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100-211-2-2-2-211111111-2-2-2-21111111100000000000000000002200-1-1000
χ352222-1-2-2-2-222-1-1-122222221111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1221111-1-11111-1-1000−i3i30000−i3i3−i3i3−i3i3−i3i30000−i3−i3−i3−i3i3i3i3i300000000000000000002-200-11000
χ362222-1-2-2-2-222-1-1-122222221111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1221111-1-11111-1-1000−i3i30000−i3i3−i3i3−i3i3−i3i30000i3i3i3i3−i3−i3−i3−i30000000000000000000-22001-1000
χ372222-1-2-2-2-222-1-1-122222221111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1221111-1-11111-1-1000i3−i30000i3−i3i3−i3i3−i3i3−i30000−i3−i3−i3−i3i3i3i3i30000000000000000000-22001-1000
χ382222-1-2-2-2-222-1-1-122222221111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1221111-1-11111-1-1000i3−i30000i3−i3i3−i3i3−i3i3−i30000i3i3i3i3−i3−i3−i3−i300000000000000000002-200-11000
χ3922-2-22-2020222-2-22-22-2-2-202-2000022-2-20000222-2-22-2-2002-200002-200002-2000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20002-22-20000000000000000000−i2i2
χ4022-2-22-2020222-2-22-22-2-2-202-2000022-2-20000222-2-22-2-2002-200002-200002-2000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20002-22-20000000000000000000i2−i2
χ4122-2-22-2020222-2-22-22-2-2-202-2000022-2-20000222-2-22-2-2002-200002-20000-22000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000-22-220000000000000000000i2−i2
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χ914-4-444040-4−1+5−1−5-4-441−51−51+51+5−1+5−1−5000-4400−1+5−1−5001−5−1+51+5−1−5001−5−1+51−51+5−1−51+500001−5−1+500001+5−1−5000000000000000000000000000000000000000000ζ29+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−ζ103000000000
χ924-4-444040-4−1+5−1−5-4-441−51−51+51+5−1+5−1−5000-4400−1+5−1−5001−5−1+51+5−1−5001−5−1+51−51+5−1−51+500001−5−1+500001+5−1−5000000000000000000000000000000000000000000−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+ζ103000000000
χ934-4-4440-404−1−5−1+5-4-441+51+51−51−5−1−5−1+50004-400−1−5−1+500−1−51+5−1+51−5001+5−1−51+51−5−1+51−50000−1−51+50000−1+51−50000000000000000000000000000000022−2200000000−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+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+ζ119000000000
χ944-4-4440-404−1−5−1+5-4-441+51+51−51−5−1−5−1+50004-400−1−5−1+500−1−51+5−1+51−5001+5−1−51+51−5−1+51−50000−1−51+50000−1+51−500000000000000000000000000000000−222200000000ζ7−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−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−ζ119000000000
χ954-4-4440-404−1+5−1−5-4-441−51−51+51+5−1+5−1−50004-400−1+5−1−500−1+51−5−1−51+5001−5−1+51−51+5−1−51+50000−1+51−50000−1−51+50000000000000000000000000000000022−2200000000ζ29−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+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+ζ103000000000
χ964-4-4440-404−1+5−1−5-4-441−51−51+51+5−1+5−1−50004-400−1+5−1−500−1+51−5−1−51+5001−5−1+51−51+5−1−51+50000−1+51−50000−1−51+500000000000000000000000000000000−222200000000−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−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−ζ103000000000
χ974-4-44-2040-44422-2-4-4-4-4440002-200-2-200-44-44002-222-2200002-200002-200000000000000000000000−i6i6−i6i6i6−i6i6−i60000000000000000000000000000
χ984-4-44-2040-44422-2-4-4-4-4440002-200-2-200-44-44002-222-2200002-200002-200000000000000000000000i6−i6i6−i6−i6i6−i6i60000000000000000000000000000
χ994-4-44-20-4044422-2-4-4-4-444000-2200-2-2004-44-4002-222-220000-220000-22000000000000000000022−2222−22−22−22−22−220000000000000000000000000000
χ1004-4-44-20-4044422-2-4-4-4-444000-2200-2-2004-44-4002-222-220000-220000-220000000000000000000−2222−22222−22−22−22−20000000000000000000000000000
χ10188-8-8-480-80−2−25−2+25-444−2−252+25−2+252−252+252−2504-400001+51−5−2−25−2+2500002+252−251+5−1−5−1−51−5−1+5−1+500−1−51+50000−1+51−50000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-480-80−2+25−2−25-444−2+252−25−2−252+252−252+2504-400001−51+5−2+25−2−2500002−252+251−5−1+5−1+51+5−1−5−1−500−1+51−50000−1−51+50000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-8080−2−25−2+25-444−2−252+25−2+252−252+252−250-4400001+51−52+252−250000−2−25−2+251+5−1−5−1−51−5−1+5−1+5001+5−1−500001−5−1+50000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-8080−2+25−2−25-444−2+252−25−2−252+252−252+250-4400001−51+52−252+250000−2+25−2−251−5−1+5−1+51+5−1−5−1−5001−5−1+500001+5−1−50000000000000000000000000000000000000000000000000000000000000
χ1058-88-880000−2−25−2+25-88-82+25−2−252−25−2+252+252−250000000−2−25−2+25000000002+252+25−2−252−252−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-880000−2+25−2−25-88-82−25−2+252+25−2−252−252+250000000−2+25−2−25000000002−252−25−2+252+252+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-40000−2−25−2+254-442+25−2−252−25−2+252+252−2500000−4i34i31+51−500000000−1−5−1−51+5−1+5−1+51−50000002ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ9200002ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116000000000000000000000000000000000000000000000000000000000
χ1088-88-8-40000−2−25−2+254-442+25−2−252−25−2+252+252−25000004i3−4i31+51−500000000−1−5−1−51+5−1+5−1+51−5000000−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ920000−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116000000000000000000000000000000000000000000000000000000000
χ1098-88-8-40000−2+25−2−254-442−25−2+252+25−2−252−252+2500000−4i34i31−51+500000000−1+5−1+51−5−1−5−1−51+50000002ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ11600002ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92000000000000000000000000000000000000000000000000000000000
χ1108-88-8-40000−2+25−2−254-442−25−2+252+25−2−252−252+25000004i3−4i31−51+500000000−1+5−1+51−5−1−5−1−51+5000000−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ1160000−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4080-8−2−25−2+2544-42+252+252−252−25−2−25−2+250004-4001+51−5002+25−2−252−25−2+2500−1−51+5−1−5−1+51−5−1+50000−1−51+50000−1+51−500000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4080-8−2+25−2−2544-42−252−252+252+25−2+25−2−250004-4001−51+5002−25−2+252+25−2−2500−1+51−5−1+5−1−51+5−1−50000−1+51−50000−1−51+500000000000000000000000000000000000000000000000000000000000
χ1138-8-88-40-808−2−25−2+2544-42+252+252−252−25−2−25−2+25000-44001+51−500−2−252+25−2+252−2500−1−51+5−1−5−1+51−5−1+500001+5−1−500001−5−1+500000000000000000000000000000000000000000000000000000000000
χ1148-8-88-40-808−2+25−2−2544-42−252−252+252+25−2+25−2−25000-44001−51+500−2+252−25−2−252+2500−1+51−5−1+5−1−51+5−1−500001−5−1+500001+5−1−500000000000000000000000000000000000000000000000000000000000

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