Hybrid Equations of State for Neutron Star Matter


DSCN0347

Quark hybrid equation of state tables with Gibbs phase transition:

For hybrid equations of state with a Maxwell transition see below or click here
For pure quark matter equations of state see below or click here

  • Hadronic equation of state: Relativistic mean field TM1
  • Quark equation of state: Bag model, free parameters: Bag constant B, Strong coupling constant via a_4 parameter
  • Phase transition via Gibbs construction

  • For details, see:
    S. Weissenborn et al.
    Astrophysical Journal, 740, L14 (2011)
    arXiv:1102.2869

    Tables describe matter in beta equilibrium.Pressure and energy density are a sum of nucleonic, quark, and electron contributions.
    Structure of Tables:
    column 1: Pressure [MeV/fm^3]
    column 2: Energy density [MeV/fm^3]
    column 3: Baryochemical potential [MeV]
    column 4: Baryon number density [1/fm^3]
    column 5: Temperature (set to 1e-4)
    column 6: Quark fraction
    column 7: Electron fraction
    Some tables have also
    column 8: strange quark chemical potential
    column 9: a_4 parameter



    a_4 = 0.4 a_4 = 0.5 a_4 = 0.6 a_4 = 0.7 a_4 = 0.8 a_4 = 0.9 a_4 = 1.0
    B^{1/4}=122MeV
    B^{1/4}=123MeV
    B^{1/4}=124MeV
    B^{1/4}=125MeV
    B^{1/4}=126MeV
    B^{1/4}=127MeV
    B^{1/4}=128MeV
    B^{1/4}=129MeV

    B^{1/4}=130MeV
    B^{1/4}=131MeV
    B^{1/4}=132MeV
    B^{1/4}=133MeV
    B^{1/4}=134MeV
    B^{1/4}=135MeV
    B^{1/4}=136MeV
    B^{1/4}=137MeV
    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV










    B^{1/4}=131MeV
    B^{1/4}=132MeV
    B^{1/4}=133MeV
    B^{1/4}=134MeV
    B^{1/4}=135MeV
    B^{1/4}=136MeV
    B^{1/4}=137MeV
    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV

















    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV
























    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV































    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV




































    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV








































    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV






    Quark hybrid equation of state tables with Maxwell phase transition

  • Hadronic equation of state: Relativistic mean field TM1
  • Quark equation of state: Bag model, free parameters: Bag constant B, Strong coupling constant via a_4 parameter
  • Phase transition via Maxwell construction

  • For details, see:
    S. Weissenborn et al.
    Astrophysical Journal, 740, L14 (2011)
    arXiv:1102.2869

    Tables describe matter in beta equilibrium.Pressure and energy density are a sum of nucleonic, quark, and electron contributions.
    Structure of Tables:
    column 1: Pressure [MeV/fm^3]
    column 2: Energy density [MeV/fm^3]
    column 3: Baryochemical potential [MeV]
    column 4: Baryon number density [1/fm^3]
    column 5: Temperature (set to 1e-4)
    column 6: Quark fraction
    column 7: Electron fraction
    Some tables have also
    column 8: strange quark chemical potential
    column 9: a_4 parameter



    a_4 = 0.4 a_4 = 0.5 a_4 = 0.6 a_4 = 0.7 a_4 = 0.8 a_4 = 0.9 a_4 = 1.0
    B^{1/4}=122MeV
    B^{1/4}=123MeV
    B^{1/4}=124MeV
    B^{1/4}=125MeV
    B^{1/4}=126MeV
    B^{1/4}=127MeV
    B^{1/4}=128MeV
    B^{1/4}=129MeV

    B^{1/4}=130MeV
    B^{1/4}=131MeV
    B^{1/4}=132MeV
    B^{1/4}=133MeV
    B^{1/4}=134MeV
    B^{1/4}=135MeV
    B^{1/4}=136MeV
    B^{1/4}=137MeV
    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV










    B^{1/4}=131MeV
    B^{1/4}=132MeV
    B^{1/4}=133MeV
    B^{1/4}=134MeV
    B^{1/4}=135MeV
    B^{1/4}=136MeV
    B^{1/4}=137MeV
    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV

















    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV
























    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV































    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV




































    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV








































    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV






    Pure Quark matter equation of state tables

  • Quark equation of state: Bag model, free parameters: Bag constant B, Strong coupling constant via a_4 parameter

  • For details, see:
    S. Weissenborn et al.
    Astrophysical Journal, 740, L14 (2011)
    arXiv:1102.2869

    Tables describe matter in beta equilibrium.Pressure and energy density are a sum of nucleonic, quark, and electron contributions.
    Structure of Tables:
    column 1: Pressure [MeV/fm^3]
    column 2: Energy density [MeV/fm^3]
    column 3: Baryochemical potential [MeV]
    column 4: Baryon number density [1/fm^3]
    column 5: Temperature (set to 1e-4)
    column 6: Quark fraction
    column 7: Electron fraction
    Some tables have also
    column 8: strange quark chemical potential



    a_4 = 0.4 a_4 = 0.5 a_4 = 0.6 a_4 = 0.7 a_4 = 0.8 a_4 = 0.9 a_4 = 1.0
    B^{1/4}=122MeV
    B^{1/4}=123MeV
    B^{1/4}=124MeV
    B^{1/4}=125MeV
    B^{1/4}=126MeV
    B^{1/4}=127MeV
    B^{1/4}=128MeV
    B^{1/4}=129MeV

    B^{1/4}=130MeV
    B^{1/4}=131MeV
    B^{1/4}=132MeV
    B^{1/4}=133MeV
    B^{1/4}=134MeV
    B^{1/4}=135MeV
    B^{1/4}=136MeV
    B^{1/4}=137MeV
    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV










    B^{1/4}=131MeV
    B^{1/4}=132MeV
    B^{1/4}=133MeV
    B^{1/4}=134MeV
    B^{1/4}=135MeV
    B^{1/4}=136MeV
    B^{1/4}=137MeV
    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV

















    B^{1/4}=138MeV
    B^{1/4}=139MeV

    B^{1/4}=140MeV
    B^{1/4}=141MeV
    B^{1/4}=142MeV
    B^{1/4}=143MeV
    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV
























    B^{1/4}=144MeV
    B^{1/4}=145MeV
    B^{1/4}=146MeV
    B^{1/4}=147MeV
    B^{1/4}=148MeV
    B^{1/4}=149MeV

    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV































    B^{1/4}=150MeV
    B^{1/4}=151MeV
    B^{1/4}=152MeV
    B^{1/4}=153MeV
    B^{1/4}=154MeV
    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV




































    B^{1/4}=155MeV
    B^{1/4}=156MeV
    B^{1/4}=157MeV
    B^{1/4}=158MeV
    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV








































    B^{1/4}=159MeV

    B^{1/4}=160MeV
    B^{1/4}=161MeV
    B^{1/4}=162MeV
    B^{1/4}=163MeV
    B^{1/4}=164MeV
    B^{1/4}=165MeV
    B^{1/4}=166MeV
    B^{1/4}=167MeV
    B^{1/4}=168MeV
    B^{1/4}=169MeV

    B^{1/4}=170MeV
    B^{1/4}=171MeV
    B^{1/4}=172MeV
    B^{1/4}=173MeV
    B^{1/4}=174MeV
    B^{1/4}=175MeV
    B^{1/4}=176MeV
    B^{1/4}=177MeV
    B^{1/4}=178MeV
    B^{1/4}=179MeV

    B^{1/4}=180MeV
    B^{1/4}=181MeV
    B^{1/4}=182MeV
    B^{1/4}=183MeV
    B^{1/4}=184MeV
    B^{1/4}=185MeV
    B^{1/4}=186MeV
    B^{1/4}=187MeV
    B^{1/4}=188MeV
    B^{1/4}=189MeV

    B^{1/4}=190MeV
    B^{1/4}=191MeV
    B^{1/4}=192MeV
    B^{1/4}=193MeV
    B^{1/4}=194MeV
    B^{1/4}=195MeV
    B^{1/4}=196MeV
    B^{1/4}=197MeV
    B^{1/4}=198MeV
    B^{1/4}=199MeV

    B^{1/4}=200MeV
    B^{1/4}=201MeV
    B^{1/4}=202MeV
    B^{1/4}=203MeV
    B^{1/4}=204MeV
    B^{1/4}=205MeV
    B^{1/4}=206MeV
    B^{1/4}=207MeV
    B^{1/4}=208MeV
    B^{1/4}=209MeV

    B^{1/4}=210MeV
    B^{1/4}=211MeV
    B^{1/4}=212MeV
    B^{1/4}=213MeV
    B^{1/4}=214MeV
    B^{1/4}=215MeV
    B^{1/4}=216MeV
    B^{1/4}=217MeV
    B^{1/4}=218MeV
    B^{1/4}=219MeV

    B^{1/4}=220MeV
    B^{1/4}=221MeV
    B^{1/4}=222MeV
    B^{1/4}=223MeV
    B^{1/4}=224MeV
    B^{1/4}=225MeV
    B^{1/4}=226MeV
    B^{1/4}=227MeV
    B^{1/4}=228MeV
    B^{1/4}=229MeV

    B^{1/4}=230MeV
    B^{1/4}=231MeV
    B^{1/4}=232MeV
    B^{1/4}=233MeV
    B^{1/4}=234MeV
    B^{1/4}=235MeV
    B^{1/4}=236MeV
    B^{1/4}=237MeV
    B^{1/4}=238MeV
    B^{1/4}=239MeV

    B^{1/4}=240MeV
    B^{1/4}=241MeV
    B^{1/4}=242MeV
    B^{1/4}=243MeV
    B^{1/4}=244MeV
    B^{1/4}=245MeV
    B^{1/4}=246MeV
    B^{1/4}=247MeV
    B^{1/4}=248MeV
    B^{1/4}=249MeV

    B^{1/4}=250MeV
    B^{1/4}=251MeV
    B^{1/4}=252MeV
    B^{1/4}=253MeV
    B^{1/4}=254MeV
    B^{1/4}=255MeV
    B^{1/4}=256MeV
    B^{1/4}=257MeV
    B^{1/4}=258MeV
    B^{1/4}=259MeV

    B^{1/4}=260MeV
    B^{1/4}=261MeV
    B^{1/4}=262MeV
    B^{1/4}=263MeV
    B^{1/4}=264MeV
    B^{1/4}=265MeV
    B^{1/4}=266MeV
    B^{1/4}=267MeV
    B^{1/4}=268MeV
    B^{1/4}=269MeV

    B^{1/4}=270MeV
    B^{1/4}=271MeV
    B^{1/4}=272MeV
    B^{1/4}=273MeV
    B^{1/4}=274MeV
    B^{1/4}=275MeV
    B^{1/4}=276MeV
    B^{1/4}=277MeV
    B^{1/4}=278MeV
    B^{1/4}=279MeV

    B^{1/4}=280MeV
    B^{1/4}=281MeV
    B^{1/4}=282MeV
    B^{1/4}=283MeV
    B^{1/4}=284MeV
    B^{1/4}=285MeV
    B^{1/4}=286MeV
    B^{1/4}=287MeV
    B^{1/4}=288MeV
    B^{1/4}=289MeV

    B^{1/4}=290MeV
    B^{1/4}=291MeV
    B^{1/4}=292MeV
    B^{1/4}=293MeV
    B^{1/4}=294MeV
    B^{1/4}=295MeV
    B^{1/4}=296MeV
    B^{1/4}=297MeV
    B^{1/4}=298MeV
    B^{1/4}=299MeV

    B^{1/4}=300MeV