diff --git a/CMakeLists.txt b/CMakeLists.txt
index aa70bed..4761450 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -4,6 +4,9 @@ project(GCTL_POTENTIAL VERSION 1.0)
 # 添加配置配件编写的函数
 include(CMakePackageConfigHelpers)
 
+# ExprTK库在macOS 15.4中编译会有错误 添加以下命令对应检查项
+add_compile_options(-Wno-missing-template-arg-list-after-template-kw)
+
 # 添加编译选项
 option(GCTL_POTENTIAL_FFTW3 "Use the FFTW3 library" ON)
 option(GCTL_POTENTIAL_TESS "Use the Tess library" ON)
diff --git a/data/CHAOS8/CHAOS-8.2_core.shc.txt b/data/CHAOS8/CHAOS-8.2_core.shc.txt
new file mode 100644
index 0000000..212e484
--- /dev/null
+++ b/data/CHAOS8/CHAOS-8.2_core.shc.txt
@@ -0,0 +1,444 @@
+# CHAOS-8.2 core field model
+# Extracted on 2025-02-19 11:29:53.
+1 20 281 6 5
+             1997.10198494    1997.20191650    1997.30184805    1997.40177960    1997.50171116    1997.60164271    1997.70157426    1997.80150582    1997.90143737    1998.00136893    1998.10130048    1998.20123203    1998.30116359    1998.40109514    1998.50102669    1998.60095825    1998.70088980    1998.80082136    1998.90075291    1999.00068446    1999.10061602    1999.20054757    1999.30047912    1999.40041068    1999.50034223    1999.60027379    1999.70026010    1999.80024641    1999.90023272    2000.00021903    2000.10020534    2000.20041068    2000.30061602    2000.40082136    2000.50102669    2000.60123203    2000.70138261    2000.80153320    2000.90168378    2001.00183436    2001.10198494    2001.20191650    2001.30184805    2001.40177960    2001.50171116    2001.60164271    2001.70157426    2001.80150582    2001.90143737    2002.00136893    2002.10130048    2002.20123203    2002.30116359    2002.40109514    2002.50102669    2002.60095825    2002.70088980    2002.80082136    2002.90075291    2003.00068446    2003.10061602    2003.20054757    2003.30047912    2003.40041068    2003.50034223    2003.60027379    2003.70026010    2003.80024641    2003.90023272    2004.00021903    2004.10020534    2004.20041068    2004.30061602    2004.40082136    2004.50102669    2004.60123203    2004.70138261    2004.80153320    2004.90168378    2005.00183436    2005.10198494    2005.20191650    2005.30184805    2005.40177960    2005.50171116    2005.60164271    2005.70157426    2005.80150582    2005.90143737    2006.00136893    2006.10130048    2006.20123203    2006.30116359    2006.40109514    2006.50102669    2006.60095825    2006.70088980    2006.80082136    2006.90075291    2007.00068446    2007.10061602    2007.20054757    2007.30047912    2007.40041068    2007.50034223    2007.60027379    2007.70026010    2007.80024641    2007.90023272    2008.00021903    2008.10020534    2008.20041068    2008.30061602    2008.40082136    2008.50102669    2008.60123203    2008.70138261    2008.80153320    2008.90168378    2009.00183436    2009.10198494    2009.20191650    2009.30184805    2009.40177960    2009.50171116    2009.60164271    2009.70157426    2009.80150582    2009.90143737    2010.00136893    2010.10130048    2010.20123203    2010.30116359    2010.40109514    2010.50102669    2010.60095825    2010.70088980    2010.80082136    2010.90075291    2011.00068446    2011.10061602    2011.20054757    2011.30047912    2011.40041068    2011.50034223    2011.60027379    2011.70026010    2011.80024641    2011.90023272    2012.00021903    2012.10020534    2012.20041068    2012.30061602    2012.40082136    2012.50102669    2012.60123203    2012.70138261    2012.80153320    2012.90168378    2013.00183436    2013.10198494    2013.20191650    2013.30184805    2013.40177960    2013.50171116    2013.60164271    2013.70157426    2013.80150582    2013.90143737    2014.00136893    2014.10130048    2014.20123203    2014.30116359    2014.40109514    2014.50102669    2014.60095825    2014.70088980    2014.80082136    2014.90075291    2015.00068446    2015.10061602    2015.20054757    2015.30047912    2015.40041068    2015.50034223    2015.60027379    2015.70026010    2015.80024641    2015.90023272    2016.00021903    2016.10020534    2016.20041068    2016.30061602    2016.40082136    2016.50102669    2016.60123203    2016.70138261    2016.80153320    2016.90168378    2017.00183436    2017.10198494    2017.20191650    2017.30184805    2017.40177960    2017.50171116    2017.60164271    2017.70157426    2017.80150582    2017.90143737    2018.00136893    2018.10130048    2018.20123203    2018.30116359    2018.40109514    2018.50102669    2018.60095825    2018.70088980    2018.80082136    2018.90075291    2019.00068446    2019.10061602    2019.20054757    2019.30047912    2019.40041068    2019.50034223    2019.60027379    2019.70026010    2019.80024641    2019.90023272    2020.00021903    2020.10020534    2020.20041068    2020.30061602    2020.40082136    2020.50102669    2020.60123203    2020.70138261    2020.80153320    2020.90168378    2021.00183436    2021.10198494    2021.20191650    2021.30184805    2021.40177960    2021.50171116    2021.60164271    2021.70157426    2021.80150582    2021.90143737    2022.00136893    2022.10130048    2022.20123203    2022.30116359    2022.40109514    2022.50102669    2022.60095825    2022.70088980    2022.80082136    2022.90075291    2023.00068446    2023.10061602    2023.20054757    2023.30047912    2023.40041068    2023.50034223    2023.60027379    2023.70026010    2023.80024641    2023.90023272    2024.00021903    2024.10020534    2024.20041068    2024.30061602    2024.40082136    2024.50102669    2024.60123203    2024.70138261    2024.80153320    2024.90168378    2025.00183436    2025.10198494
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+   3   -2     302.89481858     302.62949154     302.36223942     302.09219338     301.81858020     301.54077479     301.25835175     300.97111519     300.67907301     300.38238936     300.08133630     299.77624524     299.46745536     299.15525403     298.83981408     298.52113099     298.19896148     297.87279844     297.54193823     297.20558436     296.86295255     296.51337522     296.15638968     295.79178544     295.41963513     295.04032494     294.65437075     294.26304665     293.86766678     293.46966471     293.07046561     292.67048582     292.27165434     291.87473212     291.48015609     291.08801045     290.69821155     290.30986716     289.92198309     289.53333875     289.14257855     288.74917024     288.35091135     287.94655451     287.53501211     287.11541237     286.68715453     286.24994163     285.80375618     285.34881334     284.88551323     284.41439341     283.93608403     283.45127000     282.96065593     282.46493112     281.96473487     281.46062827     280.95308256     280.44247403     279.92907913     279.41307005     278.89451942     278.37342887     277.84976673     277.32350616     276.79437246     276.26274034     275.72877317     275.19270645     274.65484314     274.11436635     273.57287452     273.03082287     272.48867440     271.94687440     271.40612071     270.86646349     270.32821192     269.79166853     269.25716028     268.72623017     268.19817192     267.67356469     267.15313032     266.63776185     266.12855087     265.62678410     265.13386201     264.65118667     264.18004845     263.72151354     263.27633309     262.84490736     262.42727144     262.02308184     261.63160436     261.25173553     260.88210907     260.52123599     260.16764593     259.82002717     259.47733296     259.13880234     258.80394706     258.47253742     258.14440861     257.81996938     257.49958393     257.18366313     256.87257267     256.56587762     256.26430106     255.96770956     255.67585888     255.38845407     255.10536269     254.82619403     254.55077514     254.27898385     254.01073950     253.74656853     253.48584415     253.22849776     252.97437406     252.72317636     252.47441312     252.22737772     251.98121244     251.73500576     251.48789078     251.23914316     250.98826212     250.73500881     250.47942789     250.22186845     249.96300390     249.70382641     249.44557639     249.18964646     248.93748445     248.69049710     248.44997238     248.21704901     247.99270468     247.77774487     247.57268251     247.37807224     247.19416639     247.02104801     246.85864366     246.70641477     246.56438117     246.43208815     246.30899885     246.19451917     246.08807883     245.98898001     245.89660602     245.81038000     245.72978856     245.65456446     245.58420294     245.51847822     245.45724894     245.40044558     245.34805774     245.30011819     245.25667872     245.21778284     245.18343831     245.15358993     245.12810031     245.10675048     245.08924842     245.07523792     245.06430754     245.05600434     245.04985951     245.04541874     245.04227268     245.04008685     245.03861401     245.03766245     245.03704672     245.03653780     245.03581332     245.03442533     245.03180866     245.02730661     245.02019702     245.00969125     244.99502637     244.97545912     244.95032363     244.91907690     244.88136596     244.83699533     244.78596295     244.72841104     244.66459153     244.59499068     244.51984945     244.43958253     244.35464536     244.26553434     244.17278686     244.07697691     243.97869953     243.87855084     243.77710792     243.67490872     243.57243250     243.47008175     243.36816468     243.26687770     243.16628833     243.06632771     242.96680777     242.86744798     242.76790256     242.66778747     242.56670326     242.46424745     242.36002267     242.25364470     242.14469015     242.03288415     241.91793918     241.79962834     241.67780102     241.55212002     241.42290020     241.29032806     241.15475050     241.01670083     240.87700027     240.73652513     240.59636083     240.45762570     240.32136862     240.18875398     240.06010577     239.93578350     239.81588569     239.70025531     239.58848609     239.47995142     239.37389065     239.26951804     239.16613250     239.06322632     238.96056531     238.85819650     238.75642738     238.65580393     238.55708826     238.46122294     238.36926179     238.28228750     238.20132864     238.12727732     238.06082059     238.00240713     237.95222766     237.91019596     237.87591387     237.84872850     237.82771109     237.81174578     237.79959393     237.78993916     237.78151519     237.77310994     237.76367438     237.75240116     237.73881029     237.72277551     237.70451643     237.68453730     237.66357025
+   3    3     742.75436324     741.82738498     740.89945632     739.96945847     739.03609803     738.09795532     737.15353337     736.20132431     735.23991949     734.26813706     733.28515011     732.29061324     731.28474814     730.26832491     729.24260233     728.20926659     727.17036932     726.12824821     725.08540337     724.04435634     723.00750837     721.97700019     720.95461088     719.94175569     718.93952296     717.94871247     716.96934097     716.00229543     715.04775337     714.10577767     713.17636534     712.25750060     711.35121626     710.45745667     709.57605883     708.70668267     707.84920849     707.00229301     706.16483908     705.33559846     704.51325407     703.69828315     702.88767466     702.08037651     701.27554895     700.47262328     699.67135901     698.87186053     698.07449141     697.27974818     696.48813259     695.70002531     694.91559629     694.13480839     693.35745758     692.58321468     691.81166623     691.04233341     690.27463554     689.50783166     688.74096127     687.97278631     687.20176588     686.42611376     685.64388869     684.85308583     684.05128655     683.23707863     682.40890328     681.56564928     680.70681687     679.83074770     678.94044117     678.03777450     677.12516739     676.20537952     675.28181472     674.35683376     673.43317437     672.51338912     671.59978529     670.69633619     669.80270384     668.92030676     668.05042480     667.19431086     666.35330048     665.52886219     664.72249801     663.93558467     663.16921275     662.42402738     661.70011258     660.99698631     660.31363922     659.64857494     658.99985092     658.36513072     657.74176542     657.12688650     656.51749925     655.91057580     655.30314217     654.69234956     654.07553962     653.45030945     652.81422407     652.16589584     651.50393169     650.82722351     650.13489745     649.42469288     648.69755491     647.95304071     647.19079533     646.41052855     645.61243377     644.79587701     643.96071283     643.10691030     642.23460103     641.34609372     640.44008456     639.51740791     638.57914374     637.62661225     636.66136711     635.68515441     634.69978421     633.70696770     632.70815304     631.70436366     630.69609922     629.68339600     628.66594988     627.64324193     626.61466362     625.57963723     624.53772374     623.48872573     622.43279016     621.37050869     620.30295456     619.23155854     618.15792139     617.08362399     616.00945151     614.93702474     613.86703308     612.79987696     611.73572368     610.67224219     609.61164315     608.55377256     607.49853793     606.44600021     605.39703634     604.35165190     603.31060121     602.27465185     601.24442282     600.22245788     599.20638456     598.19566486     597.18937527     596.18624802     595.18471319     594.18296543     593.17909293     592.17123092     591.15771607     590.13723924     589.10895261     588.07246134     587.02776967     585.97522529     584.91546367     583.84935110     582.77792455     581.70233027     580.62376228     579.54340119     578.46235837     577.38163408     576.30208111     575.22436855     574.14835739     573.07484401     572.00379045     570.93492816     569.86777092     568.79929393     567.73097611     566.66189382     565.59118838     564.51819514     563.44315880     562.36553672     561.28567040     560.20405169     559.12117231     558.03974597     556.95748873     555.87421525     554.78949891     553.70270035     552.61299631     551.51941487     550.42088670     549.31630284     548.20457257     547.08468135     545.95574855     544.81708438     543.66824676     542.50909802     541.33986034     540.16113500     538.97383021     537.77905279     536.57799848     535.37184238     534.16163118     532.94818014     531.73197199     530.51305584     529.29027826     528.06326531     526.83058072     525.59062931     524.34189613     523.08041428     521.80819802     520.52504718     519.23122469     517.92740657     516.61534983     515.29565023     513.96969233     512.63870947     511.30355214     509.96739352     508.62683228     507.28081303     505.92797160     504.56690010     503.19640913     501.81571708     500.42445416     499.02259346     497.61037927     496.18825525     494.75679048     493.31660011     491.86826386     490.41224441     488.94880721     487.47797651     485.99958321     484.51334891     483.01897143     481.51620929     480.00494243     478.48517236     476.95699838     475.42059297     473.87532940     472.32231197     470.76188554     469.19452997     467.62091574     466.03849396     464.45188355     462.86242164     461.27146180     459.68023007     458.09055132     456.50213608     454.91518012     453.32952230     451.74467334
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+   7    5       5.06812368       5.13206313       5.19601349       5.25997983       5.32396356       5.38796145       5.45196468       5.51595835       5.57992207       5.64383112       5.70765751       5.77137111       5.83494063       5.89833443       5.96152107       6.02447006       6.08715241       6.14954105       6.21161067       6.27333723       6.33469755       6.39566884       6.45622864       6.51635551       6.57603011       6.63523623       6.69399392       6.75226356       6.81004300       6.86733465       6.92414514       6.98060781       7.03661140       7.09217149       7.14730392       7.20202320       7.25631132       7.31020578       7.36371030       7.41682544       7.46954938       7.52176464       7.57358247       7.62499789       7.67600577       7.72660124       7.77678014       7.82653935       7.87587727       7.92479418       7.97329269       8.02137815       8.06905935       8.11634977       8.16326922       8.20984535       8.25611523       8.30212637       8.34793646       8.39361260       8.43923045       8.48487346       8.53063135       8.57659693       8.62286232       8.66951508       8.71666034       8.76434001       8.81260675       8.86149603       8.91102374       8.96129430       9.01217006       9.06359840       9.11550578       9.16779963       9.22034147       9.27303503       9.32574205       9.37831247       9.43058614       9.48228180       9.53334010       9.58358215       9.63282617       9.68088930       9.72758951       9.77274822       9.81619487       9.85777220       9.89734151       9.93478802       9.97002522      10.00299708      10.03367935      10.06208088      10.08824478      10.11224792      10.13419580      10.15421575      10.17244999      10.18904879      10.20416438      10.21794706      10.23054215      10.24208694      10.25271327      10.26252822      10.27163388      10.28012336      10.28808326      10.29561226      10.30277367      10.30964772      10.31631395      10.32285154      10.32933613      10.33585044      10.34247307      10.34928125      10.35634996      10.36373452      10.37151738      10.37976018      10.38851725      10.39783379      10.40774425      10.41827086      10.42942290      10.44119634      10.45357336      10.46652197      10.47999606      10.49393656      10.50827299      10.52292507      10.53780434      10.55281498      10.56785301      10.58280471      10.59754505      10.61193610      10.62582545      10.63904450      10.65140672      10.66270596      10.67271982      10.68119230      10.68785551      10.69242774      10.69461821      10.69412751      10.69065207      10.68390424      10.67361287      10.65953145      10.64145721      10.61921004      10.59266187      10.56173462      10.52640486      10.48679983      10.44294392      10.39499314      10.34315864      10.28770265      10.22893432      10.16720358      10.10288992      10.03638920       9.96810037       9.89841221       9.82769127       9.75627260       9.68445162       9.61247605       9.54053800       9.46877004       9.39725138       9.32601805       9.25507327       9.18439774       9.11395960       9.04372341       8.97365878       8.90374892       8.83396098       8.76436623       8.69502294       8.62600942       8.55741866       8.48920439       8.42162428       8.35478430       8.28878476       8.22371554       8.15968609       8.09671629       8.03484179       7.97407791       7.91441946       7.85596751       7.79854480       7.74208850       7.68652203       7.63175853       7.57770432       7.52426224       7.47133451       7.41882546       7.36664426       7.31470757       7.26294081       7.21127588       7.15964754       7.10798969       7.05623167       7.00429485       6.95209008       6.89951533       6.84645346       6.79276995       6.73831235       6.68291390       6.62639878       6.56858742       6.50926898       6.44830405       6.38553665       6.32083331       6.25409086       6.18509094       6.11395647       6.04071338       5.96543554       5.88824550       5.80935878       5.72895287       5.64728584       5.56464365       5.48132892       5.39783297       5.31427496       5.23094006       5.14808791       5.06594266       4.98468312       4.90443576       4.82527472       4.74722468       4.67026387       4.59432702       4.51931001       4.44507829       4.37147692       4.29834065       4.22550397       4.15281009       4.08011742       4.00730493       3.93427753       3.86097133       3.78735692       3.71343741       3.63924439       3.56483389       3.49024140       3.41559955       3.34100856       3.26656911       3.19237434       3.11834059       3.04468730       2.97144784       2.89863259       2.82622921       2.75424227       2.68257675       2.61116139       2.53991503       2.46875273
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+   9    1       9.36113138       9.36401505       9.36690588       9.36981214       9.37274353       9.37571105       9.37872692       9.38180443       9.38495776       9.38820182       9.39155206       9.39502428       9.39863441       9.40239820       9.40633090       9.41044691       9.41475942       9.41928008       9.42401855       9.42898203       9.43417481       9.43959783       9.44524825       9.45111930       9.45720005       9.46347533       9.46992914       9.47653415       9.48326264       9.49008392       9.49696512       9.50388712       9.51079993       9.51766914       9.52446213       9.53114925       9.53770141       9.54410194       9.55033603       9.55639478       9.56227541       9.56796929       9.57349950       9.57888194       9.58413753       9.58929149       9.59437248       9.59941177       9.60444231       9.60949769       9.61461111       9.61981442       9.62513720       9.63060612       9.63624441       9.64207136       9.64810179       9.65434563       9.66080779       9.66748809       9.67438121       9.68147667       9.68875884       9.69620712       9.70379623       9.71149644       9.71927812       9.72709924       9.73491860       9.74269210       9.75037328       9.75793022       9.76529612       9.77242067       9.77925382       9.78574664       9.79184885       9.79751984       9.80271889       9.80740964       9.81156095       9.81514050       9.81813968       9.82054705       9.82235816       9.82357552       9.82420869       9.82427409       9.82379408       9.82279587       9.82131039       9.81937113       9.81701303       9.81427142       9.81118101       9.80777482       9.80408314       9.80013278       9.79594685       9.79154480       9.78694249       9.78215221       9.77718285       9.77204024       9.76672758       9.76124588       9.75559123       9.74976442       9.74376203       9.73757946       9.73121104       9.72463546       9.71785879       9.71087259       9.70366780       9.69623496       9.68856859       9.68065496       9.67248467       9.66404900       9.65534037       9.64637262       9.63712276       9.62758846       9.61776939       9.60766729       9.59728604       9.58663159       9.57571174       9.56453574       9.55311392       9.54145735       9.52957744       9.51748558       9.50519274       9.49270908       9.48004357       9.46720374       9.45419564       9.44102399       9.42769224       9.41420278       9.40055701       9.38675575       9.37279961       9.35868936       9.34441850       9.32999702       9.31542837       9.30071743       9.28587065       9.27086337       9.25573826       9.24050755       9.22518538       9.20978763       9.19434039       9.17885442       9.16335022       9.14784938       9.13237429       9.11698151       9.10166017       9.08643316       9.07132290       9.05635099       9.04153786       9.02690245       9.01246200       8.99823191       8.98422558       8.97045426       8.95692704       8.94365111       8.93063217       8.91787483       8.90538305       8.89316052       8.88121109       8.86953925       8.85815048       8.84705176       8.83625172       8.82576039       8.81558861       8.80574757       8.79624314       8.78709091       8.77829919       8.76987336       8.76181483       8.75410346       8.74674767       8.73973150       8.73303265       8.72662235       8.72046863       8.71452644       8.70874927       8.70308700       8.69748741       8.69190998       8.68629088       8.68058099       8.67473507       8.66871331       8.66248273       8.65601839       8.64930353       8.64232949       8.63509550       8.62760859       8.61988311       8.61193979       8.60380442       8.59550665       8.58707869       8.57855406       8.56996644       8.56134844       8.55273045       8.54413945       8.53559804       8.52712375       8.51872869       8.51041905       8.50219020       8.49404001       8.48595549       8.47791788       8.46990315       8.46186494       8.45378777       8.44563563       8.43737078       8.42895509       8.42035604       8.41153401       8.40245726       8.39309856       8.38343638       8.37347824       8.36319643       8.35259176       8.34167246       8.33045401       8.31895875       8.30721544       8.29525797       8.28312389       8.27085293       8.25848544       8.24606101       8.23361716       8.22118809       8.20880346       8.19648721       8.18425662       8.17212226       8.16008828       8.14815263       8.13630739       8.12453923       8.11283045       8.10116021       8.08950577       8.07783737       8.06613846       8.05438759       8.04256562       8.03065662       8.01862229       8.00648133       7.99423120       7.98187384       7.96941543       7.95687305       7.94425372       7.93157419       7.91885336       7.90611153
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+  10   -1       1.53334605       1.54133252       1.54929211       1.55719648       1.56501560       1.57271839       1.58027337       1.58764934       1.59481611       1.60174528       1.60841096       1.61479057       1.62086551       1.62662169       1.63204994       1.63714653       1.64191355       1.64635926       1.65049816       1.65435089       1.65794420       1.66131085       1.66448941       1.66752378       1.67046247       1.67335801       1.67626788       1.67924901       1.68236136       1.68566513       1.68921949       1.69309018       1.69732352       1.70196860       1.70706876       1.71266038       1.71876829       1.72541474       1.73260991       1.74035471       1.74864088       1.75743107       1.76671648       1.77646258       1.78662764       1.79716373       1.80801766       1.81913204       1.83044640       1.84189836       1.85342481       1.86496308       1.87645206       1.88783312       1.89905105       1.91005490       1.92079894       1.93124333       1.94135476       1.95110679       1.96048026       1.96946375       1.97805375       1.98625458       1.99407799       2.00154293       2.00867895       2.01551404       2.02208588       2.02843675       2.03461254       2.04067490       2.04666066       2.05262108       2.05860731       2.06466938       2.07085191       2.07720340       2.08376578       2.09057738       2.09767260       2.10506495       2.11279497       2.12088342       2.12934647       2.13819571       2.14743820       2.15707647       2.16710873       2.17752903       2.18832751       2.19949053       2.21100098       2.22283864       2.23498056       2.24740151       2.26007437       2.27297058       2.28606057       2.29931421       2.31270126       2.32619184       2.33975684       2.35336820       2.36699927       2.38062504       2.39422986       2.40778538       2.42127315       2.43467739       2.44798524       2.46121575       2.47433313       2.48733417       2.50021890       2.51299051       2.52564839       2.53820873       2.55068312       2.56308496       2.57542889       2.58770330       2.59995041       2.61218489       2.62442034       2.63666880       2.64894018       2.66124185       2.67357857       2.68595251       2.69836324       2.71080777       2.72328068       2.73577425       2.74827882       2.76078300       2.77327401       2.78573791       2.79815998       2.81052506       2.82281791       2.83502356       2.84712766       2.85911688       2.87097920       2.88270433       2.89429032       2.90572482       2.91700445       2.92812836       2.93909836       2.94994250       2.96064380       2.97121197       2.98165891       2.99199835       3.00224000       3.01240601       3.02251359       3.03258020       3.04262307       3.05263677       3.06265847       3.07270171       3.08277785       3.09289560       3.10306059       3.11327489       3.12353676       3.13384040       3.14417575       3.15452824       3.16487873       3.17520378       3.18547605       3.19566472       3.20573592       3.21565327       3.22537870       3.23487345       3.24409903       3.25301815       3.26159566       3.26979919       3.27759972       3.28497224       3.29189994       3.29836312       3.30435118       3.30985826       3.31488302       3.31943786       3.32351830       3.32713510       3.33030229       3.33303672       3.33535650       3.33728445       3.33884342       3.34005756       3.34095197       3.34155140       3.34188401       3.34197564       3.34185175       3.34153712       3.34105545       3.34042911       3.33967888       3.33882366       3.33788028       3.33686326       3.33578462       3.33465393       3.33347832       3.33226259       3.33100928       3.32971881       3.32838976       3.32701933       3.32560367       3.32413826       3.32261833       3.32103925       3.31939690       3.31768806       3.31590986       3.31406294       3.31214887       3.31017114       3.30813531       3.30604449       3.30391310       3.30175330       3.29957919       3.29740666       3.29525437       3.29313997       3.29108341       3.28910547       3.28722748       3.28547467       3.28386417       3.28241702       3.28115370       3.28009390       3.27925626       3.27865815       3.27831563       3.27824337       3.27845464       3.27896126       3.27977359       3.28090056       3.28234981       3.28412768       3.28623934       3.28868882       3.29147903       3.29461163       3.29808710       3.30190462       3.30606202       3.31055562       3.31538008       3.32052821       3.32599382       3.33176275       3.33782138       3.34415387       3.35074227       3.35758165       3.36463558       3.37188014       3.37929026       3.38684015       3.39449959       3.40224703       3.41005771       3.41790836       3.42577780
+  10    2       1.65720656       1.65438656       1.65156237       1.64872984       1.64588502       1.64302419       1.64014395       1.63724127       1.63431352       1.63135852       1.62837463       1.62536074       1.62231638       1.61924175       1.61613782       1.61300646       1.60985043       1.60667357       1.60348082       1.60027836       1.59707372       1.59387585       1.59069519       1.58754361       1.58443424       1.58138136       1.57839866       1.57550397       1.57271380       1.57004457       1.56751208       1.56512599       1.56290519       1.56086070       1.55900092       1.55733105       1.55585338       1.55456441       1.55345739       1.55252140       1.55174132       1.55109913       1.55056976       1.55012651       1.54973974       1.54937751       1.54900621       1.54859116       1.54809737       1.54749021       1.54673619       1.54580364       1.54466337       1.54328897       1.54165715       1.53974789       1.53754476       1.53503502       1.53220946       1.52906210       1.52558996       1.52179273       1.51767250       1.51323346       1.50848157       1.50342424       1.49806703       1.49242210       1.48649960       1.48031026       1.47386525       1.46716110       1.46022336       1.45306377       1.44569403       1.43812565       1.43037415       1.42244626       1.41435230       1.40610199       1.39770437       1.38918652       1.38053754       1.37176388       1.36287106       1.35386362       1.34474518       1.33551838       1.32618495       1.31674584       1.30720132       1.29755104       1.28779418       1.27792955       1.26795576       1.25787136       1.24767498       1.23736545       1.22694189       1.21640371       1.20575070       1.19498305       1.18410140       1.17310681       1.16200075       1.15078511       1.13945590       1.12802188       1.11648601       1.10485160       1.09312227       1.08127594       1.06934243       1.05732622       1.04523201       1.03306469       1.02083601       1.00854449       0.99619528       0.98379344       0.97134377       0.95887814       0.94637336       0.93383286       0.92125941       0.90865493       0.89602048       0.88335608       0.87066074       0.85793249       0.84516832       0.83236427       0.81951543       0.80661611       0.79366006       0.78064063       0.76755100       0.75438437       0.74113414       0.72779413       0.71435879       0.70082336       0.68718405       0.67343801       0.65958333       0.64561894       0.63153684       0.61734514       0.60304497       0.58863799       0.57412630       0.55948016       0.54473387       0.52989031       0.51495264       0.49992437       0.48481769       0.46962876       0.45436261       0.43902513       0.42362328       0.40819919       0.39272893       0.37722378       0.36169677       0.34616275       0.33063854       0.31514292       0.29969645       0.28432119       0.26904040       0.25387829       0.23885964       0.22400948       0.20935266       0.19491343       0.18071507       0.16677947       0.15312693       0.13977588       0.12674272       0.11404155       0.10168402       0.08967921       0.07803360       0.06675102       0.05582666       0.04526519       0.03506245       0.02521194       0.01570511       0.00651180      -0.00235884      -0.01092001      -0.01918563      -0.02716983      -0.03488234      -0.04234081      -0.04955735      -0.05654271      -0.06330582      -0.06983947      -0.07616313      -0.08227884      -0.08818628      -0.09388280      -0.09936345      -0.10462111      -0.10964678      -0.11442995      -0.11895898      -0.12322146      -0.12720459      -0.13089554      -0.13428175      -0.13735128      -0.14009316      -0.14249768      -0.14455649      -0.14626281      -0.14761145      -0.14859895      -0.14922367      -0.14948570      -0.14938679      -0.14893026      -0.14812040      -0.14696353      -0.14546700      -0.14363915      -0.14148902      -0.13902048      -0.13624785      -0.13318123      -0.12983070      -0.12620610      -0.12231909      -0.11817668      -0.11378720      -0.10915834      -0.10429714      -0.09922129      -0.09392599      -0.08841610      -0.08269575      -0.07676836      -0.07063663      -0.06430256      -0.05776748      -0.05103212      -0.04409664      -0.03696074      -0.02962367      -0.02208450      -0.01434231      -0.00639643       0.00175334       0.01010649       0.01866165       0.02741637       0.03636701       0.04550852       0.05483438       0.06433665       0.07400611       0.08383240       0.09380967       0.10392040       0.11415182       0.12449087       0.13492448       0.14546299       0.15607126       0.16673762       0.17745119       0.18820201       0.19897525       0.20976900       0.22057658       0.23139238       0.24221185
+  10   -2       0.17088133       0.16312175       0.15537719       0.14766434       0.14000232       0.13241247       0.12491804       0.11754396       0.11031644       0.10326262       0.09641021       0.08978704       0.08342075       0.07733844       0.07156629       0.06612925       0.06105070       0.05635216       0.05205300       0.04817027       0.04471849       0.04170942       0.03915192       0.03705182       0.03541193       0.03423197       0.03350824       0.03323495       0.03340254       0.03399861       0.03500813       0.03641706       0.03820375       0.04034636       0.04282150       0.04560459       0.04866851       0.05198895       0.05554007       0.05929635       0.06323289       0.06731667       0.07153366       0.07586278       0.08028445       0.08478069       0.08933511       0.09393301       0.09856123       0.10320797       0.10786263       0.11251559       0.11715810       0.12178200       0.12637954       0.13094317       0.13546532       0.13993817       0.14435357       0.14870280       0.15297654       0.15716462       0.16125603       0.16523880       0.16910013       0.17282633       0.17640484       0.17981832       0.18305095       0.18608658       0.18890900       0.19150757       0.19386008       0.19595148       0.19776769       0.19929593       0.20052440       0.20144473       0.20204964       0.20233411       0.20229553       0.20193499       0.20125539       0.20026190       0.19896220       0.19736622       0.19548610       0.19333591       0.19093126       0.18828879       0.18542572       0.18235931       0.17910639       0.17568294       0.17210367       0.16838158       0.16452756       0.16055008       0.15645520       0.15224671       0.14792620       0.14349327       0.13894565       0.13427968       0.12949070       0.12457354       0.11952023       0.11432859       0.10899449       0.10351467       0.09788701       0.09209790       0.08616022       0.08007612       0.07384896       0.06748322       0.06098782       0.05436540       0.04762251       0.04076596       0.03380263       0.02675470       0.01961332       0.01238433       0.00507315      -0.00231511      -0.00977576      -0.01730436      -0.02489669      -0.03254858      -0.04025573      -0.04801365      -0.05581745      -0.06366190      -0.07154140      -0.07945002      -0.08738149      -0.09532926      -0.10328658      -0.11124668      -0.11920282      -0.12714850      -0.13507750      -0.14298395      -0.15086238      -0.15870768      -0.16651944      -0.17428903      -0.18201239      -0.18968550      -0.19730421      -0.20488055      -0.21239275      -0.21983501      -0.22720055      -0.23448135      -0.24166401      -0.24874136      -0.25570050      -0.26252677      -0.26920374      -0.27569912      -0.28200784      -0.28810851      -0.29397853      -0.29959432      -0.30493165      -0.30996592      -0.31467257      -0.31902751      -0.32300756      -0.32659087      -0.32975731      -0.33248882      -0.33476969      -0.33658688      -0.33793026      -0.33879291      -0.33917114      -0.33906450      -0.33847582      -0.33741116      -0.33587979      -0.33389391      -0.33146841      -0.32862052      -0.32536764      -0.32173228      -0.31773687      -0.31340480      -0.30876001      -0.30381553      -0.29860531      -0.29315313      -0.28748240      -0.28161598      -0.27557951      -0.26939146      -0.26307290      -0.25664443      -0.25012629      -0.24355295      -0.23692993      -0.23027672      -0.22361256      -0.21695636      -0.21032663      -0.20374140      -0.19721800      -0.19077279      -0.18442093      -0.17817608      -0.17205020      -0.16605330      -0.16019327      -0.15447567      -0.14890354      -0.14347724      -0.13819451      -0.13305052      -0.12803800      -0.12314726      -0.11836640      -0.11368157      -0.10907730      -0.10453684      -0.10004007      -0.09557122      -0.09111182      -0.08664362      -0.08214901      -0.07760137      -0.07299520      -0.06831695      -0.06355504      -0.05870027      -0.05374873      -0.04869405      -0.04353549      -0.03827543      -0.03291949      -0.02748865      -0.02198360      -0.01641999      -0.01081668      -0.00519568       0.00041802       0.00599658       0.01150973       0.01692531       0.02220965       0.02732818       0.03224587       0.03692791       0.04134042       0.04545109       0.04922992       0.05264981       0.05568703       0.05832169       0.06053810       0.06232521       0.06367690       0.06459197       0.06507407       0.06513151       0.06477690       0.06402739       0.06290421       0.06143196       0.05963804       0.05754729       0.05519489       0.05261352       0.04983632       0.04689620       0.04382694       0.04065755       0.03741674       0.03413096       0.03082403
+  10    3      -3.39665811      -3.38709355      -3.37751638      -3.36791340      -3.35827061      -3.34857343      -3.33880702      -3.32895658      -3.31900757      -3.30894616      -3.29875944      -3.28843583      -3.27796532      -3.26733968      -3.25655267      -3.24560014      -3.23448026      -3.22319359      -3.21174304      -3.20013380      -3.18837316      -3.17647048      -3.16443698      -3.15228549      -3.14003002      -3.12768552      -3.11526063      -3.10277776      -3.09025246      -3.07769978      -3.06513395      -3.05254055      -3.03995879      -3.02739866      -3.01486820      -3.00237332      -2.98992433      -2.97751539      -2.96514486      -2.95280848      -2.94049932      -2.92823461      -2.91597520      -2.90370643      -2.89141145      -2.87907146      -2.86666596      -2.85417307      -2.84156987      -2.82883286      -2.81593833      -2.80286283      -2.78958352      -2.77607855      -2.76232734      -2.74831096      -2.73401238      -2.71941679      -2.70451164      -2.68928668      -2.67373400      -2.65784804      -2.64162551      -2.62506521      -2.60816769      -2.59093493      -2.57336037      -2.55545733      -2.53723025      -2.51868369      -2.49982199      -2.48060653      -2.46108113      -2.44124769      -2.42110710      -2.40065924      -2.37991443      -2.35885955      -2.33749194      -2.31580875      -2.29380727      -2.27153459      -2.24894180      -2.22602916      -2.20279871      -2.17925464      -2.15540372      -2.13125556      -2.10682255      -2.08211970      -2.05716447      -2.03197654      -2.00657758      -1.98099065      -1.95523954      -1.92934813      -1.90333966      -1.87723615      -1.85105781      -1.82482250      -1.79854521      -1.77223753      -1.74590723      -1.71955813      -1.69319008      -1.66679892      -1.64036204      -1.61388180      -1.58734260      -1.56072578      -1.53401011      -1.50711338      -1.48006901      -1.45285120      -1.42543405      -1.39779233      -1.36991754      -1.34177297      -1.31333960      -1.28460157      -1.25554664      -1.22623133      -1.19658886      -1.16662013      -1.13633049      -1.10572963      -1.07483150      -1.04365418      -1.01221938      -0.98055198      -0.94867947      -0.91663143      -0.88443899      -0.85213417      -0.81974924      -0.78731601      -0.75486524      -0.72242596      -0.69002503      -0.65768670      -0.62543221      -0.59327936      -0.56124218      -0.52933090      -0.49755192      -0.46590788      -0.43438045      -0.40298226      -0.37170533      -0.34053884      -0.30946961      -0.27841475      -0.24742579      -0.21648527      -0.18557547      -0.15467906      -0.12379658      -0.09289639      -0.06196568      -0.03099401       0.00002637       0.03103213       0.06209240       0.09320524       0.12436552       0.15556505       0.18679270       0.21803455       0.24927427       0.28049353       0.31167242       0.34278986       0.37382401       0.40475268       0.43555375       0.46620550       0.49668707       0.52697877       0.55706235       0.58692123       0.61654064       0.64590790       0.67501254       0.70384631       0.73240320       0.76067938       0.78868844       0.81641519       0.84386189       0.87103235       0.89793166       0.92462395       0.95105680       0.97723724       1.00317219       1.02886792       1.05431584       1.07953388       1.10452420       1.12928712       1.15382087       1.17806859       1.20207790       1.22584028       1.24934518       1.27258021       1.29553132       1.31818304       1.34051881       1.36252141       1.38417326       1.40545691       1.42635531       1.44685218       1.46693223       1.48658153       1.50578768       1.52454010       1.54283001       1.56065041       1.57799600       1.59486317       1.61124986       1.62715546       1.64258058       1.65752686       1.67200461       1.68600867       1.69954276       1.71261109       1.72521822       1.73739508       1.74911860       1.76039392       1.77122622       1.78162059       1.79157671       1.80110514       1.81021040       1.81889662       1.82716753       1.83500964       1.84244417       1.84947338       1.85609917       1.86232322       1.86814712       1.87357244       1.87860098       1.88323493       1.88747706       1.89133096       1.89480118       1.89789334       1.90061424       1.90297191       1.90497571       1.90663637       1.90796591       1.90897750       1.90968539       1.91010477       1.91025158       1.91014245       1.90979442       1.90922479       1.90845048       1.90748909       1.90635778       1.90507346       1.90365270       1.90210817       1.90045865       1.89871935       1.89690481       1.89502883       1.89310545       1.89114564       1.88916035       1.88715936       1.88515114
+  10   -3       3.77833248       3.79011575       3.80188914       3.81364197       3.82536239       3.83703771       3.84865455       3.86019909       3.87165734       3.88301537       3.89425956       3.90537688       3.91635508       3.92718288       3.93785012       3.94834791       3.95866877       3.96880676       3.97875750       3.98851819       3.99808763       4.00746620       4.01665587       4.02566015       4.03448404       4.04313395       4.05162228       4.05995333       4.06813741       4.07618597       4.08411152       4.09194453       4.09968192       4.10733880       4.11493084       4.12247405       4.12998052       4.13747055       4.14496001       4.15246424       4.15999775       4.16755731       4.17517132       4.18285026       4.19060300       4.19843665       4.20635648       4.21436587       4.22246647       4.23065844       4.23894072       4.24731125       4.25576721       4.26430530       4.27292194       4.28161352       4.29037663       4.29920822       4.30810550       4.31706583       4.32608650       4.33516463       4.34429692       4.35347943       4.36270724       4.37197415       4.38127749       4.39060264       4.39993830       4.40927159       4.41858818       4.42789276       4.43714811       4.44633686       4.45544151       4.46444499       4.47332636       4.48207586       4.49068050       4.49912923       4.50741313       4.51550815       4.52342866       4.53117308       4.53874208       4.54613830       4.55336619       4.56043174       4.56734220       4.57410571       4.58073094       4.58722679       4.59360203       4.59986499       4.60602332       4.61208373       4.61805167       4.62393116       4.62972472       4.63543332       4.64105646       4.64659209       4.65203668       4.65738543       4.66263247       4.66777111       4.67279681       4.67769904       4.68246994       4.68710158       4.69158612       4.69592522       4.70010156       4.70410822       4.70793868       4.71158690       4.71504551       4.71831153       4.72138064       4.72424925       4.72691469       4.72937016       4.73162121       4.73366855       4.73551414       4.73716129       4.73861472       4.73988053       4.74096605       4.74187968       4.74263059       4.74322856       4.74368373       4.74400634       4.74420644       4.74429363       4.74427678       4.74416379       4.74396146       4.74367538       4.74330982       4.74286766       4.74235026       4.74175745       4.74108737       4.74033650       4.73949906       4.73856829       4.73753520       4.73638897       4.73511689       4.73370112       4.73212778       4.73037872       4.72843439       4.72627407       4.72387756       4.72122154       4.71828355       4.71504115       4.71147230       4.70756466       4.70329063       4.69863130       4.69356910       4.68808800       4.68217364       4.67581344       4.66899662       4.66171423       4.65395908       4.64572576       4.63701063       4.62781182       4.61812919       4.60796439       4.59732077       4.58620342       4.57461907       4.56257594       4.55008363       4.53715305       4.52379618       4.51002590       4.49585563       4.48129906       4.46636156       4.45106434       4.43542015       4.41944083       4.40313707       4.38648140       4.36951683       4.35224926       4.33468284       4.31681990       4.29867095       4.28022503       4.26147933       4.24242977       4.22307131       4.20344161       4.18349264       4.16321842       4.14261339       4.12167281       4.10039319       4.07877262       4.05681105       4.03451054       4.01187549       3.98891288       3.96563238       3.94204630       3.91816936       3.89401850       3.86961270       3.84497271       3.82012063       3.79507946       3.76987257       3.74452328       3.71905444       3.69348825       3.66784621       3.64214901       3.61640234       3.59063924       3.56487802       3.53913667       3.51343314       3.48772957       3.46210122       3.43656752       3.41114836       3.38586399       3.36074867       3.33580920       3.31106600       3.28653881       3.26224628       3.23825775       3.21453487       3.19109054       3.16793537       3.14507754       3.12252262       3.10027358       3.07833083       3.05669244       3.03535436       3.01431058       2.99355339       2.97307356       2.95286069       2.93290338       2.91318956       2.89370668       2.87444187       2.85538205       2.83651401       2.81782454       2.79930052       2.78092895       2.76269693       2.74459173       2.72659092       2.70869205       2.69088294       2.67315179       2.65548728       2.63784011       2.62023887       2.60267414       2.58513741       2.56762116       2.55012854       2.53264475       2.51516581       2.49768893       2.48021252
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+  10   -4       5.06429495       5.06239908       5.06048586       5.05853728       5.05653441       5.05445778       5.05228777       5.05000501       5.04759075       5.04502725       5.04229817       5.03938894       5.03628714       5.03298267       5.02946799       5.02573829       5.02179169       5.01762934       5.01325548       5.00867735       5.00390519       4.99895215       4.99383422       4.98856997       4.98318025       4.97768789       4.97211434       4.96648844       4.96083689       4.95518666       4.94956445       4.94398400       4.93848234       4.93308232       4.92780451       4.92266672       4.91768630       4.91287152       4.90822993       4.90376545       4.89947847       4.89537460       4.89143768       4.88765803       4.88402330       4.88051887       4.87712833       4.87383386       4.87061684       4.86745836       4.86433983       4.86124355       4.85815318       4.85505407       4.85193349       4.84878089       4.84558811       4.84234948       4.83906164       4.83572313       4.83233409       4.82889589       4.82541074       4.82188124       4.81830985       4.81469847       4.81104585       4.80735328       4.80361849       4.79983764       4.79600537       4.79210617       4.78814002       4.78409736       4.77996787       4.77574075       4.77140754       4.76695535       4.76237400       4.75765393       4.75278631       4.74777443       4.74260103       4.73726046       4.73174827       4.72606126       4.72019752       4.71415653       4.70793924       4.70154820       4.69498769       4.68826382       4.68138461       4.67435998       4.66720170       4.65992333       4.65254014       4.64506904       4.63752823       4.62993697       4.62231515       4.61468305       4.60706091       4.59946869       4.59192568       4.58445021       4.57705526       4.56976037       4.56257922       4.55552351       4.54860291       4.54181015       4.53516572       4.52867242       4.52233082       4.51613921       4.51009699       4.50419479       4.49842480       4.49277761       4.48724247       4.48181935       4.47648350       4.47122196       4.46602171       4.46087001       4.45575478       4.45066493       4.44559062       4.44052346       4.43545671       4.43038556       4.42530723       4.42022103       4.41512834       4.41003264       4.40493943       4.39985624       4.39479256       4.38975973       4.38477090       4.37984090       4.37498618       4.37022472       4.36557591       4.36106046       4.35669798       4.35251402       4.34853246       4.34477762       4.34127397       4.33803903       4.33510464       4.33249371       4.33022771       4.32832625       4.32680731       4.32568428       4.32496873       4.32466905       4.32479031       4.32533237       4.32629292       4.32766631       4.32944351       4.33161225       4.33415722       4.33706025       4.34030073       4.34385607       4.34770211       4.35181363       4.35616482       4.36072980       4.36548322       4.37040083       4.37546002       4.38064037       4.38592396       4.39129566       4.39674338       4.40225839       4.40783544       4.41347267       4.41917140       4.42493593       4.43077654       4.43669966       4.44271702       4.44884213       4.45508984       4.46149015       4.46804603       4.47477425       4.48169145       4.48881377       4.49615246       4.50372549       4.51154547       4.51962323       4.52796749       4.53656540       4.54543852       4.55458768       4.56401087       4.57370314       4.58365659       4.59386034       4.60430085       4.61496227       4.62582687       4.63687536       4.64808738       4.65944191       4.67091785       4.68249447       4.69415200       4.70587197       4.71763755       4.72943366       4.74124714       4.75306695       4.76488420       4.77669210       4.78848571       4.80026184       4.81202519       4.82376891       4.83549371       4.84720113       4.85889337       4.87059857       4.88229392       4.89398224       4.90566626       4.91734846       4.92902458       4.94070261       4.95238352       4.96406751       4.97575388       4.98741535       4.99907466       5.01072778       5.02236951       5.03399343       5.04559182       5.05715576       5.06867519       5.08013906       5.09153556       5.10285220       5.11407606       5.12519407       5.13619337       5.14706164       5.15778744       5.16836051       5.17877209       5.18901511       5.19908445       5.20897717       5.21869266       5.22823265       5.23760101       5.24680369       5.25585348       5.26475495       5.27351919       5.28215837       5.29068539       5.29913186       5.30749231       5.31577986       5.32400711       5.33218600       5.34032306       5.34843264       5.35652341       5.36460283       5.37267717
+  10    5       4.02245115       4.01154321       4.00064166       3.98975263       3.97888196       3.96803506       3.95721670       3.94643090       3.93568079       3.92496848       3.91429494       3.90365991       3.89306178       3.88249752       3.87196266       3.86145122       3.85095569       3.84046699       3.82997454       3.81946637       3.80892914       3.79834829       3.78770816       3.77699233       3.76618401       3.75526642       3.74421713       3.73302653       3.72168029       3.71016575       3.69847231       3.68656566       3.67446591       3.66217075       3.64968094       3.63700029       3.62414286       3.61111183       3.59792012       3.58458322       3.57111886       3.55757651       3.54394795       3.53025534       3.51652130       3.50276840       3.48901853       3.47529242       3.46160907       3.44798526       3.43443510       3.42096948       3.40759571       3.39431751       3.38113499       3.36804479       3.35504012       3.34211097       3.32924463       3.31642638       3.30364015       3.29086919       3.27809669       3.26530639       3.25248307       3.23961310       3.22667785       3.21367531       3.20059899       3.18744486       3.17421125       3.16086952       3.14745130       3.13396126       3.12040570       3.10679229       3.09313728       3.07944286       3.06571936       3.05197779       3.03822968       3.02451713       3.01082238       2.99715806       2.98353693       2.96997183       2.95647552       2.94306059       2.92973925       2.91652311       2.90342304       2.89044890       2.87760936       2.86491177       2.85236199       2.83996424       2.82772094       2.81563266       2.80369815       2.79191446       2.78027704       2.76877989       2.75741570       2.74617609       2.73505188       2.72403337       2.71310465       2.70226183       2.69149496       2.68079420       2.67014978       2.65952888       2.64894521       2.63838900       2.62785011       2.61731779       2.60678618       2.59623692       2.58565632       2.57502974       2.56434160       2.55359910       2.54276186       2.53181246       2.52073348       2.50950798       2.49811991       2.48655447       2.47479849       2.46284078       2.45067237       2.43828694       2.42568095       2.41285369       2.39980716       2.38654597       2.37307723       2.35941038       2.34555680       2.33152944       2.31734230       2.30301006       2.28854765       2.27396988       2.25929113       2.24452501       2.22967586       2.21476294       2.19979594       2.18478309       2.16973109       2.15461204       2.13946255       2.12428489       2.10908008       2.09384811       2.07859638       2.06331490       2.04800134       2.03265281       2.01726591       2.00187060       1.98642908       1.97093669       1.95538818       1.93977756       1.92409801       1.90834177       1.89250017       1.87656364       1.86052179       1.84436345       1.82807676       1.81164940       1.79506886       1.77832277       1.76139911       1.74428652       1.72697452       1.70945367       1.69171587       1.67375444       1.65556442       1.63714256       1.61848744       1.59959954       1.58047073       1.56111567       1.54154061       1.52175352       1.50176396       1.48153851       1.46113308       1.44056099       1.41983624       1.39897321       1.37799785       1.35691296       1.33573221       1.31446847       1.29313359       1.27178493       1.25038487       1.22894066       1.20745782       1.18593998       1.16438878       1.14280384       1.12118286       1.09952174       1.07781480       1.05605486       1.03423351       1.01234142       0.99036873       0.96830539       0.94614162       0.92386821       0.90147697       0.87896107       0.85631542       0.83353709       0.81062556       0.78758279       0.76441326       0.74112390       0.71771128       0.69419988       0.67060343       0.64693714       0.62321721       0.59940832       0.57557922       0.55174636       0.52792524       0.50413000       0.48038590       0.45668996       0.43304978       0.40947041       0.38595420       0.36255195       0.33920889       0.31591896       0.29267347       0.26946113       0.24626826       0.22307887       0.19987497       0.17663680       0.15334317       0.12997174       0.10649931       0.08290227       0.05915695       0.03524010       0.01112930      -0.01319668      -0.03775747      -0.06257083      -0.08765230      -0.11301489      -0.13866879      -0.16462117      -0.19087610      -0.21743436      -0.24430814      -0.27147685      -0.29893104      -0.32665807      -0.35464231      -0.38292738      -0.41143114      -0.44013037      -0.46900031      -0.49801520      -0.52713290      -0.55634314      -0.58562054      -0.61494087      -0.64428166
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+  10    7       2.20664086       2.20087201       2.19510708       2.18935010       2.18360551       2.17787800       2.17217234       2.16649328       2.16084542       2.15523325       2.14966103       2.14413279       2.13865234       2.13322342       2.12784986       2.12253582       2.11728597       2.11210568       2.10700117       2.10197973       2.09704983       2.09222131       2.08750547       2.08291494       2.07846351       2.07416596       2.07003560       2.06609095       2.06234818       2.05882306       2.05553043       2.05247729       2.04968269       2.04715593       2.04490371       2.04292980       2.04123562       2.03981716       2.03866832       2.03778003       2.03714055       2.03673638       2.03654979       2.03656309       2.03675743       2.03711335       2.03761113       2.03823131       2.03895489       2.03976358       2.04063997       2.04156777       2.04253193       2.04351871       2.04451565       2.04551156       2.04649651       2.04746177       2.04839968       2.04930349       2.05016721       2.05098544       2.05175320       2.05246583       2.05311891       2.05370816       2.05422956       2.05467855       2.05505113       2.05534381       2.05555396       2.05568023       2.05572197       2.05568087       2.05556074       2.05536788       2.05511155       2.05480377       2.05445960       2.05409675       2.05373541       2.05339869       2.05310989       2.05289444       2.05277843       2.05278797       2.05294851       2.05328425       2.05381758       2.05456856       2.05555442       2.05678900       2.05828238       2.06004065       2.06206582       2.06435574       2.06690398       2.06969985       2.07272868       2.07597219       2.07940888       2.08301441       2.08676202       2.09062309       2.09456772       2.09856533       2.10258745       2.10660163       2.11057839       2.11448930       2.11830733       2.12201506       2.12558036       2.12898154       2.13219894       2.13521487       2.13801222       2.14057914       2.14290414       2.14497791       2.14679329       2.14834231       2.14962660       2.15064577       2.15140155       2.15189774       2.15214011       2.15213635       2.15189583       2.15142949       2.15074956       2.14986944       2.14880348       2.14756680       2.14617521       2.14464503       2.14299291       2.14123579       2.13939070       2.13747466       2.13550464       2.13349736       2.13146925       2.12943629       2.12741395       2.12541699       2.12345835       2.12155231       2.11971117       2.11794647       2.11626897       2.11468540       2.11320906       2.11184899       2.11061385       2.10951216       2.10855287       2.10774385       2.10709362       2.10661057       2.10630290       2.10617850       2.10624378       2.10650520       2.10696804       2.10763605       2.10851110       2.10959280       2.11087816       2.11236125       2.11403288       2.11588020       2.11788649       2.12003101       2.12228903       2.12463176       2.12702638       2.12943612       2.13182079       2.13413737       2.13634066       2.13838393       2.14021959       2.14180015       2.14307913       2.14401210       2.14455778       2.14467796       2.14433959       2.14351483       2.14218162       2.14031961       2.13792222       2.13498733       2.13151942       2.12752933       2.12303666       2.11806210       2.11263336       2.10678224       2.10054367       2.09396957       2.08708493       2.07992843       2.07253836       2.06495184       2.05720393       2.04932696       2.04135021       2.03329964       2.02519771       2.01706316       2.00891093       2.00075234       1.99259542       1.98444526       1.97630431       1.96817272       1.96004875       1.95192914       1.94380951       1.93568477       1.92754943       1.91939790       1.91122461       1.90302428       1.89478752       1.88651456       1.87820198       1.86984739       1.86144957       1.85299019       1.84448937       1.83595050       1.82737860       1.81878037       1.81016886       1.80154934       1.79293306       1.78433221       1.77575957       1.76724672       1.75878760       1.75039435       1.74207816       1.73384886       1.72571452       1.71768112       1.70975244       1.70192999       1.69421295       1.68659813       1.67907999       1.67165085       1.66430111       1.65701960       1.64979381       1.64261018       1.63545449       1.62831219       1.62116880       1.61401028       1.60682338       1.59959588       1.59231690       1.58497713       1.57756498       1.57007895       1.56251555       1.55487327       1.54715252       1.53933841       1.53145185       1.52349845       1.51548507       1.50741955       1.49931480       1.49117529       1.48301003       1.47482795       1.46663768
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+  20  -20      -0.12122812      -0.12099667      -0.12076523      -0.12053381      -0.12030242      -0.12007107      -0.11983978      -0.11960855      -0.11937739      -0.11914632      -0.11891535      -0.11868449      -0.11845374      -0.11822314      -0.11799268      -0.11776238      -0.11753226      -0.11730232      -0.11707259      -0.11684307      -0.11661379      -0.11638476      -0.11615599      -0.11592750      -0.11569931      -0.11547143      -0.11524375      -0.11501642      -0.11478946      -0.11456288      -0.11433670      -0.11411044      -0.11388462      -0.11365926      -0.11343437      -0.11320998      -0.11298623      -0.11276302      -0.11254035      -0.11231827      -0.11209677      -0.11187638      -0.11165661      -0.11143751      -0.11121907      -0.11100133      -0.11078431      -0.11056802      -0.11035250      -0.11013775      -0.10992380      -0.10971068      -0.10949839      -0.10928697      -0.10907644      -0.10886681      -0.10865811      -0.10845036      -0.10824359      -0.10803780      -0.10783303      -0.10762929      -0.10742661      -0.10722501      -0.10702451      -0.10682513      -0.10662678      -0.10642961      -0.10623362      -0.10603885      -0.10584531      -0.10565260      -0.10546117      -0.10527104      -0.10508224      -0.10489478      -0.10470878      -0.10452417      -0.10434095      -0.10415915      -0.10397878      -0.10380025      -0.10362319      -0.10344760      -0.10327349      -0.10310090      -0.10292981      -0.10276025      -0.10259223      -0.10242576      -0.10226084      -0.10209748      -0.10193570      -0.10177548      -0.10161685      -0.10145980      -0.10130434      -0.10115046      -0.10099817      -0.10084746      -0.10069834      -0.10055080      -0.10040484      -0.10026045      -0.10011763      -0.09997636      -0.09983657      -0.09969832      -0.09956161      -0.09942641      -0.09929273      -0.09916025      -0.09902927      -0.09889976      -0.09877171      -0.09864510      -0.09851999      -0.09839628      -0.09827396      -0.09815301      -0.09803341      -0.09791539      -0.09779867      -0.09768323      -0.09756904      -0.09745607      -0.09734432      -0.09723373      -0.09712430      -0.09701599      -0.09690878      -0.09680263      -0.09669751      -0.09659340      -0.09649026      -0.09638806      -0.09628676      -0.09618634      -0.09608676      -0.09598799      -0.09588999      -0.09579273      -0.09569618      -0.09560029      -0.09550503      -0.09541038      -0.09531623      -0.09522262      -0.09512950      -0.09503684      -0.09494461      -0.09485257      -0.09476088      -0.09466952      -0.09457845      -0.09448764      -0.09439710      -0.09430674      -0.09421654      -0.09412647      -0.09403648      -0.09394674      -0.09385703      -0.09376732      -0.09367756      -0.09358773      -0.09349780      -0.09340774      -0.09331752      -0.09322711      -0.09313648      -0.09304559      -0.09295443      -0.09286296      -0.09277116      -0.09267900      -0.09258646      -0.09249350      -0.09240011      -0.09230625      -0.09221191      -0.09211707      -0.09202169      -0.09192577      -0.09182928      -0.09173220      -0.09163446      -0.09153610      -0.09143711      -0.09133746      -0.09123714      -0.09113592      -0.09103400      -0.09093138      -0.09082804      -0.09072398      -0.09061924      -0.09051376      -0.09040753      -0.09030055      -0.09019280      -0.09008453      -0.08997549      -0.08986568      -0.08975509      -0.08964372      -0.08953158      -0.08941864      -0.08930492      -0.08919041      -0.08907511      -0.08895902      -0.08884213      -0.08872445      -0.08860598      -0.08848671      -0.08836664      -0.08824578      -0.08812413      -0.08800169      -0.08787845      -0.08775442      -0.08762960      -0.08750399      -0.08737760      -0.08725042      -0.08712239      -0.08699359      -0.08686400      -0.08673365      -0.08660252      -0.08647035      -0.08633742      -0.08620373      -0.08606930      -0.08593413      -0.08579830      -0.08566176      -0.08552451      -0.08538656      -0.08524793      -0.08510893      -0.08496928      -0.08482899      -0.08468806      -0.08454653      -0.08440441      -0.08426170      -0.08411844      -0.08397463      -0.08383029      -0.08368544      -0.08354010      -0.08339429      -0.08324802      -0.08310131      -0.08295419      -0.08280666      -0.08265876      -0.08251049      -0.08236187      -0.08221293      -0.08206367      -0.08191413      -0.08176432      -0.08161425      -0.08146386      -0.08131325      -0.08116244      -0.08101146      -0.08086030      -0.08070867      -0.08055691      -0.08040504      -0.08025308      -0.08010104      -0.07994902      -0.07979696      -0.07964486      -0.07949275      -0.07934062
diff --git a/data/CHAOS8/CHAOS-8.2_static.shc.txt b/data/CHAOS8/CHAOS-8.2_static.shc.txt
new file mode 100644
index 0000000..6f30afd
--- /dev/null
+++ b/data/CHAOS8/CHAOS-8.2_static.shc.txt
@@ -0,0 +1,34159 @@
+# CHAOS-8.2 lithospheric field model
+# Extracted on 2025-02-19 11:29:53.
+21 185 1 1 0
+             1997.10198494
+  21    0      -0.14969397
+  21    1       0.04305705
+  21   -1       0.44019909
+  21    2      -0.04410886
+  21   -2       0.04000938
+  21    3       0.20164518
+  21   -3       0.11624581
+  21    4      -0.05834942
+  21   -4       0.03725865
+  21    5       0.19291678
+  21   -5      -0.22627143
+  21    6      -0.11437801
+  21   -6       0.09204866
+  21    7       0.00221881
+  21   -7      -0.13189389
+  21    8      -0.14231546
+  21   -8      -0.14824656
+  21    9       0.07019719
+  21   -9      -0.13607087
+  21   10      -0.09423098
+  21  -10      -0.06222109
+  21   11       0.07357630
+  21  -11       0.00960697
+  21   12      -0.03826326
+  21  -12      -0.19310580
+  21   13      -0.06246396
+  21  -13       0.01868803
+  21   14       0.05847075
+  21  -14      -0.06039182
+  21   15       0.02591080
+  21  -15      -0.06262315
+  21   16       0.05219260
+  21  -16      -0.14719841
+  21   17      -0.07628278
+  21  -17      -0.09521131
+  21   18      -0.07299499
+  21  -18       0.08511641
+  21   19       0.00111341
+  21  -19       0.00153590
+  21   20       0.19214638
+  21  -20      -0.12657743
+  21   21       0.20233543
+  21  -21      -0.12956987
+  22    0       0.08969882
+  22    1      -0.07379241
+  22   -1       0.17192579
+  22    2      -0.04623352
+  22   -2      -0.04928372
+  22    3       0.06007643
+  22   -3       0.30241519
+  22    4      -0.19525558
+  22   -4       0.09550920
+  22    5      -0.01745091
+  22   -5       0.03553697
+  22    6       0.09833105
+  22   -6      -0.04038891
+  22    7      -0.16587432
+  22   -7      -0.02156902
+  22    8       0.01452982
+  22   -8      -0.20229872
+  22    9      -0.13258712
+  22   -9      -0.02951064
+  22   10       0.18650560
+  22  -10       0.09606274
+  22   11      -0.07160527
+  22  -11      -0.22051272
+  22   12      -0.11540443
+  22  -12      -0.12248683
+  22   13      -0.01409597
+  22  -13       0.08976676
+  22   14       0.11579210
+  22  -14      -0.02766184
+  22   15      -0.05746157
+  22  -15      -0.18196727
+  22   16       0.07431064
+  22  -16      -0.12392519
+  22   17      -0.06691953
+  22  -17       0.02801058
+  22   18      -0.14203448
+  22  -18       0.00622458
+  22   19       0.01627813
+  22  -19       0.00339015
+  22   20      -0.00024550
+  22  -20       0.05349191
+  22   21       0.06137667
+  22  -21       0.06398040
+  22   22       0.11460314
+  22  -22       0.04122941
+  23    0       0.16731751
+  23    1       0.12759500
+  23   -1       0.24298106
+  23    2      -0.23826521
+  23   -2       0.11941814
+  23    3       0.22329954
+  23   -3       0.10162242
+  23    4       0.00179103
+  23   -4      -0.19318952
+  23    5      -0.18255677
+  23   -5       0.04233209
+  23    6       0.00366989
+  23   -6       0.02070684
+  23    7      -0.03591811
+  23   -7      -0.11429043
+  23    8      -0.18615536
+  23   -8      -0.11700003
+  23    9      -0.21026069
+  23   -9      -0.02188357
+  23   10       0.17930540
+  23  -10      -0.03720923
+  23   11       0.12867900
+  23  -11       0.16239504
+  23   12       0.16535780
+  23  -12      -0.07426572
+  23   13      -0.23868547
+  23  -13      -0.06652920
+  23   14      -0.04300845
+  23  -14       0.23953024
+  23   15       0.05302217
+  23  -15      -0.02355448
+  23   16       0.17249423
+  23  -16      -0.00483392
+  23   17       0.02597753
+  23  -17       0.04793031
+  23   18       0.02731237
+  23  -18       0.01234780
+  23   19       0.00301217
+  23  -19       0.07707835
+  23   20       0.19273414
+  23  -20      -0.01797192
+  23   21       0.12423353
+  23  -21      -0.15388534
+  23   22       0.04415539
+  23  -22      -0.05814256
+  23   23       0.06775346
+  23  -23       0.04321881
+  24    0       0.02664678
+  24    1      -0.04563958
+  24   -1      -0.02390108
+  24    2       0.30002988
+  24   -2      -0.07820499
+  24    3       0.03922893
+  24   -3      -0.01457706
+  24    4      -0.04604513
+  24   -4      -0.09688313
+  24    5      -0.08822159
+  24   -5       0.09518732
+  24    6       0.21216743
+  24   -6       0.11705502
+  24    7       0.07728381
+  24   -7       0.10287979
+  24    8       0.28800353
+  24   -8       0.15314879
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diff --git a/example/CMakeLists.txt b/example/CMakeLists.txt
index dbcfc1e..486b597 100644
--- a/example/CMakeLists.txt
+++ b/example/CMakeLists.txt
@@ -12,8 +12,8 @@ macro(add_example name switch)
 	endif()
 endmacro()
 
-add_example(gobser_tri2d_ex ON)
-add_example(gobser_tri2d_sph_ex ON)
+add_example(gobser_tri2d_ex OFF)
+add_example(gobser_tri2d_sph_ex OFF)
 add_example(mobser_dipole_ex OFF)
 add_example(mobser_block_ex OFF)
 add_example(mobser_block_gradient_ex OFF)
@@ -25,4 +25,5 @@ add_example(mobser_tetra_ex2 OFF)
 add_example(mobser_tetra_sph_ex OFF)
 add_example(mobser_tesseroid_ex OFF)
 add_example(read_IGRF_ex OFF)
+add_example(read_Swarm_ex ON)
 add_example(power_spectrum_ex OFF)
\ No newline at end of file
diff --git a/example/read_Swarm_ex.cpp b/example/read_Swarm_ex.cpp
new file mode 100644
index 0000000..534ed23
--- /dev/null
+++ b/example/read_Swarm_ex.cpp
@@ -0,0 +1,50 @@
+/********************************************************
+ *  ██████╗  ██████╗████████╗██╗
+ * ██╔════╝ ██╔════╝╚══██╔══╝██║
+ * ██║  ███╗██║        ██║   ██║
+ * ██║   ██║██║        ██║   ██║
+ * ╚██████╔╝╚██████╗   ██║   ███████╗
+ *  ╚═════╝  ╚═════╝   ╚═╝   ╚══════╝
+ * Geophysical Computational Tools & Library (GCTL)
+ *
+ * Copyright (c) 2022  Yi Zhang (yizhang-geo@zju.edu.cn)
+ *
+ * GCTL is distributed under a dual licensing scheme. You can redistribute 
+ * it and/or modify it under the terms of the GNU Lesser General Public 
+ * License as published by the Free Software Foundation, either version 2 
+ * of the License, or (at your option) any later version. You should have 
+ * received a copy of the GNU Lesser General Public License along with this 
+ * program. If not, see <http://www.gnu.org/licenses/>.
+ * 
+ * If the terms and conditions of the LGPL v.2. would prevent you from using 
+ * the GCTL, please consider the option to obtain a commercial license for a 
+ * fee. These licenses are offered by the GCTL's original author. As a rule, 
+ * licenses are provided "as-is", unlimited in time for a one time fee. Please 
+ * send corresponding requests to: yizhang-geo@zju.edu.cn. Please do not forget 
+ * to include some description of your company and the realm of its activities. 
+ * Also add information on how to contact you by electronic and paper mail.
+ ******************************************************/
+
+#include "iomanip"
+#include "../lib/potential.h"
+
+using namespace gctl;
+
+int main(int argc, char const *argv[]) try
+{
+    int spl_odr, smp_num;
+    array<shc_data> SHCs;
+    read_Swarm_shc("data/CHAOS8/CHAOS-8.2_core.shc", SHCs, spl_odr, smp_num);
+
+    std::clog << SHCs.size() << std::endl;
+    std::clog << std::setprecision(10) << SHCs.back().time << std::endl;
+    std::cout << std::setprecision(10) << SHCs.back().coeff_s(20, 20) << std::endl;
+    std::cout << std::setprecision(10) << SHCs.back().coeff_c(20, 20) << std::endl;
+
+    save_Swarm_shc("tmp", SHCs, spl_odr, smp_num);
+    return 0;
+}
+catch (std::exception &e)
+{
+    GCTL_ShowWhatError(e.what(), GCTL_ERROR_ERROR, 0, 0, 0);
+}
\ No newline at end of file
diff --git a/lib/potential/gm_data.cpp b/lib/potential/gm_data.cpp
index fbf808c..2f3916d 100644
--- a/lib/potential/gm_data.cpp
+++ b/lib/potential/gm_data.cpp
@@ -138,6 +138,106 @@ void gctl::read_IGRF_table(std::string file, array<IGRF_para> &IGRFs, int head_r
     return;
 }
 
+void gctl::read_Swarm_shc(std::string file, array<shc_data> &SHCs, int &spline_odr, int &sample_num)
+{
+    dsv_io tio;
+    tio.head_number(2);
+    tio.load_text(file);
+
+    // parse the head records
+    int n, N, tnum;
+    std::vector<double> time_snaps;
+    std::vector<std::string> rcd = tio.head_records();
+    parse_string_to_value(rcd[0], ' ', true, n, N, tnum, spline_odr, sample_num);
+    parse_string_to_vector(rcd[1], ' ', time_snaps);
+
+    array<int> nid, mid;
+    array<double> vals;
+    int rnum = tio.row_number();
+    tio.get_column(nid, 1);
+    tio.get_column(mid, 2);
+
+    // store coefficients
+    int id, shc_num;
+    SHCs.resize(tnum);
+    for (size_t i = 0; i < tnum; i++)
+    {
+        SHCs[i].ns = n;
+        SHCs[i].ms = 0;
+        SHCs[i].ne = N;
+        SHCs[i].me = N;
+        SHCs[i].time = time_snaps[i];
+
+        shc_num = (N + 1)*(N + 2)/2;
+        SHCs[i].Snm.resize(shc_num, 0.0);
+        SHCs[i].Cnm.resize(shc_num, 0.0);
+
+        tio.get_column(vals, i + 3);
+        for (size_t j = 0; j < rnum; j++)
+        {
+            if (mid[j] >= 0)
+            {
+                id = nid[j]*(nid[j] + 1)/2 + mid[j];
+                SHCs[i].Snm[id] = vals[j];
+                SHCs[i].Cnm[id] = vals[j + 1];
+            }
+        }
+    }
+    return;
+}
+
+void gctl::save_Swarm_shc(std::string file, const array<shc_data> &SHCs, int spline_odr, int sample_num, std::string info)
+{
+    time_t now = time(0);
+	char* dt = ctime(&now);
+
+    std::ofstream ofile;
+    open_outfile(ofile, file + ".shc", ".txt");
+    ofile << "# " << info << std::endl;
+    ofile << "# Generated on " << dt;
+
+    int s = SHCs[0].ns, S = SHCs[0].ne;
+    int c = SHCs.size();
+    ofile << s << " " << S << " " << c << " " << spline_odr << " " << sample_num << std::endl;
+
+    ofile << SHCs[0].time;
+    for (size_t i = 1; i < SHCs.size(); i++)
+    {
+        ofile << " " << SHCs[i].time;
+    }
+
+    for (size_t n = s; n <= S; n++)
+    {
+        for (size_t m = 0; m <= n; m++)
+        {
+            if (m == 0)
+            {
+                ofile << "\n" << n << " " << m;
+                for (size_t i = 0; i < c; i++)
+                {
+                    ofile << " " << SHCs[i].coeff_s(n, m);
+                }
+            }
+            else
+            {
+                ofile << "\n" << n << " " << m;
+                for (size_t i = 0; i < c; i++)
+                {
+                    ofile << " " << SHCs[i].coeff_s(n, m);
+                }
+
+                ofile << "\n" << n << " -" << m;
+                for (size_t i = 0; i < c; i++)
+                {
+                    ofile << " " << SHCs[i].coeff_c(n, m);
+                }
+            }
+        }
+    }
+    return;
+}
+
+
 void gctl::magnetic_components2deltaT(const _1d_array &Hax, const _1d_array &Hay, const _1d_array &Za, 
     _1d_array &deltaT, double T0_inclina, double T0_declina)
 {
diff --git a/lib/potential/gm_data.h b/lib/potential/gm_data.h
index 3bf2b03..92fa6f1 100644
--- a/lib/potential/gm_data.h
+++ b/lib/potential/gm_data.h
@@ -39,6 +39,7 @@
 #include "gctl/geometry.h"
 #include "gctl/maths.h"
 #include "gctl/algorithms.h"
+#include "gctl/io.h"
 
 namespace gctl
 {
@@ -99,6 +100,20 @@ namespace gctl
         int D_deg, D_min, I_deg, I_min;
     };
 
+    /**
+     * @brief A structure holds a block of spherical harmonic coefficients
+     * 
+     */
+    struct shc_data
+    {
+        int ns, ms, ne, me; // start degree, start order, end degree, end order
+        double time; // snapshot
+        array<double> Snm, Cnm; // Snm or gnm, Cnm or hnm
+
+        double coeff_s(int n, int m){return Snm[n*(n + 1)/2 + m];}
+        double coeff_c(int n, int m){return Cnm[n*(n + 1)/2 + m];}
+    };
+
     /**
      * @brief Calculate the transform matrix of the vector componments wrt. the spherical coordinates.
      * 
@@ -126,6 +141,29 @@ namespace gctl
      */
     void read_IGRF_table(std::string file, array<IGRF_para> &IGRFs, int head_record = 1, std::string ext_f = ".txt");
 
+    /**
+     * @brief Spherical harmonic coefficients stored in the Swarm level-2 product format. This format
+     * is mainly used for storing spherical harmonic models of the Earth's magnetic field.
+     * 
+     * @param file File name
+     * @param SHCs Returned coefficients started from 0/0 to N/M
+     * @param spline_odr Spline order for time dependent model
+     * @param sample_num Sample order for time dependent model
+     */
+    void read_Swarm_shc(std::string file, array<shc_data> &SHCs, int &spline_odr, int &sample_num);
+
+    /**
+     * @brief Save spherical harmonic coefficients to the Swarm level-2 product format.
+     * 
+     * @param file File name.
+     * @param SHCs coefficients started from 0/0
+     * @param spline_odr Spline order for time dependent model
+     * @param sample_num Sample order for time dependent model
+     * @param info Information to be saved with the file
+     */
+    void save_Swarm_shc(std::string file, const array<shc_data> &SHCs, int spline_odr = 1, int sample_num = 1, 
+        std::string info = "This file is saved in the Swarm level-2 product format.");
+
     /**
      * @brief Transform magnetic components data to delta_T anomalies data.
      *