Dear Ondra,
In the command line, I get this at the end:
display: failed to break up a long expression.
display: change 'linel' slightly and try again.
Apparently your answer was just too long! The reader beware what
follows...
The magic is here:
sage: sage.calculus.calculus.maxima.eval('linel:105')
'105'
This accesses the "Calculus copy" of Maxima (the Maxima instance which
does the DE solving) and sets the line length for printing to
something else. I tried smaller changes, but that didn't help much.
I don't know if this answer will help you much either, though!
- kcrisman
sage: desolve_system(equations, unknowns, ics=initials)
[U1(t) ==
-400/439994720011*((439761200804610048*(915539439919104000000000000000000*pi^35
+ 110409535982221893550080000000000000000000*pi^33 +
2012667323352469535400430889749708800000000000000*pi^31 +
13103956767222675824562806220467890010636288000000000000*pi^29 +
39982465129621571981719880966859401495910828985896960000000000*pi^27 +
64565453429760748770021593171966575122723367042256603199129600000000*pi^25
+
58054143368457070822502341550663010771894033325625390786865324210944000000*pi^23
+
28987695098365782974605101699411837326657848335706146015453509425283055661440000*pi^21
+
7471047966628478951719703475622187241137308494287316563645814722023055945276807977200*pi^19
+
771005211098172249268868807685136339734193116198460242889051657181771807106336941858817647*pi^17)/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
+
69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
+
213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
+
344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
+
309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
+
154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
+
39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
+
1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
+
150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
+
7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)
- (805233420798506628794862796800000000000000000000000*pi^35 +
97107126157915441642224501377258414407680000000000000000000*pi^33 +
1770176261896188295677325262408921078411242121252044800000000000000*pi^31
+
11525160138046931707507706675874302818571983542358011593883648000000000000*pi^29
+
35165280343826361159649294582913786407553408695686917129776016822108160000000000*pi^27
+
56786450335742256339225842947572002397761515024941773012105732291218344876441600000000*pi^25
+
51059638770497273887932558303745167518955356007893923934202197758974861325972090650624000000*pi^23
+
25495186986361841613757959993055794197941654298263435802240063226006980738334452804514207498240000*pi^21
+
6570917910062114626031886601337422587379907129199787541662533530435645943071008806678004746204885811200*pi^19
+
678112625295119406204120264790412614779137617794506780172057464544798868231538559880516611915987184047194112*pi^17
+ 55*(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
+
69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
+
213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
+
344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
+
309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
+
154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
+
39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
+
1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
+
150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
+
7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)*iL(0))/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
+
69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
+
213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
+
344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
+
309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
+
154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
+
39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
+
1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
+
150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
+
7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000))*sqrt(39999520001)*sinh(500*sqrt(39999520001)*t)
- 87950744982513971970048*(915539439919104000000000000000000*pi^35 +
110409535982221893550080000000000000000000*pi^33 +
2012667323352469535400430889749708800000000000000*pi^31 +
13103956767222675824562806220467890010636288000000000000*pi^29 +
39982465129621571981719880966859401495910828985896960000000000*pi^27 +
64565453429760748770021593171966575122723367042256603199129600000000*pi^25
+
58054143368457070822502341550663010771894033325625390786865324210944000000*pi^23
+
28987695098365782974605101699411837326657848335706146015453509425283055661440000*pi^21
+
7471047966628478951719703475622187241137308494287316563645814722023055945276807977200*pi^19
+
771005211098172249268868807685136339734193116198460242889051657181771807106336941858817647*pi^17)*cosh(500*sqrt(39999520001)*t)/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
+
69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
+
213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
+
344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
+
309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
+
154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
+
39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
+
1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
+
150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
+
7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000))*e^(-100000500*t)
- 60775/8192*(99999950*pi + pi^3)*cos(20000*pi*t)/(400*pi^4 +
39999960001*pi^2 + 121000000) - 38675/2048*(3999998*pi +
pi^3)*cos(100000*pi*t)/(10000*pi^4 + 39999960001*pi^2 + 4840000) +
36465/2048*(99999950*pi + 9*pi^3)*cos(60000*pi*t)/(32400*pi^4 +
359999640009*pi^2 + 121000000) + 425/22528*(99999950*pi +
121*pi^3)*cos(220000*pi*t)/(48400*pi^4 + 39999960001*pi^2 + 1000000) +
1275/16384*(3999998*pi + 9*pi^3)*cos(300000*pi*t)/(810000*pi^4 +
359999640009*pi^2 + 4840000) + 54145/4096*(99999950*pi +
49*pi^3)*cos(140000*pi*t)/(960400*pi^4 + 1959998040049*pi^2 +
121000000) - 26775/4096*(99999950*pi + 81*pi^3)*cos(180000*pi*t)/
(2624400*pi^4 + 3239996760081*pi^2 + 121000000) -
1105/2048*(99999950*pi + 169*pi^3)*cos(260000*pi*t)/(11424400*pi^4 +
6759993240169*pi^2 + 121000000) - 1445/16384*(5882350*pi +
17*pi^3)*cos(340000*pi*t)/(33408400*pi^4 + 11559988440289*pi^2 +
121000000) + 12155/32768*(110000000*pi + pi^3)*sin(20000*pi*t)/
((400*pi^4 + 39999960001*pi^2 + 121000000)*pi) + 1547/8192*(4400000*pi
+ pi^3)*sin(100000*pi*t)/((10000*pi^4 + 39999960001*pi^2 +
4840000)*pi) - 2431/8192*(110000000*pi + 9*pi^3)*sin(60000*pi*t)/
((32400*pi^4 + 359999640009*pi^2 + 121000000)*pi) -
85/90112*(10000000*pi + 11*pi^3)*sin(220000*pi*t)/((48400*pi^4 +
39999960001*pi^2 + 1000000)*pi) - 17/65536*(4400000*pi +
9*pi^3)*sin(300000*pi*t)/((810000*pi^4 + 359999640009*pi^2 +
4840000)*pi) - 1547/16384*(110000000*pi + 49*pi^3)*sin(140000*pi*t)/
((960400*pi^4 + 1959998040049*pi^2 + 121000000)*pi) +
595/16384*(110000000*pi + 81*pi^3)*sin(180000*pi*t)/((2624400*pi^4 +
3239996760081*pi^2 + 121000000)*pi) + 17/8192*(110000000*pi +
169*pi^3)*sin(260000*pi*t)/((11424400*pi^4 + 6759993240169*pi^2 +
121000000)*pi) + 1/65536*(110000000*pi + 289*pi^3)*sin(340000*pi*t)/
((33408400*pi^4 + 11559988440289*pi^2 + 121000000)*pi), U2(t) ==
-2000/439994720011*((200001*(48553854400748900994619223121592320000000000000000000*pi^33
+ 885093441511177236469563375138029187487707955200000000000000*pi^31 +
5762614644727181502199622005629107366737575357135716352000000000000*pi^29
+
17582745668435544033794225006259328398284696009195621044809891840000000000*pi^27
+
28393395528322380410092320483097793954042579426936624074819523343443558400000000*pi^25
+
25529972565154235715182012273549544113288989967262233589110955294734654034149376000000*pi^23
+
12747669979235852524774940330894201859737563386359849718542009866893001590429945440501760000*pi^21
+
3285478667912099906162886684499791391122657874848001688874853886706562025247069531475757354188800*pi^19
+
339058346998574110595468640640319300420037799548358086879096075128555989941671056404057118702775205888*pi^17
- 55*(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
+
69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
+
213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
+
344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
+
309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
+
154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
+
39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
+
1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
+
150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
+
7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)*iL(0))/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
+
69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
+
213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
+
344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
+
309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
+
154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
+
39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
+
1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
+
150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
+
7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)
- 2*(80523342079850662879486279680000000000000000000000*pi^35 +
9710766025031384988013544218871275192320000000000000000000*pi^33 +
177018599792404491862692642760604759673230448603955200000000000000*pi^31
+
1152522352680802370650423087171636473875301765568694008676352000000000000*pi^29
+
3516547375402871395063366631938885526016578982734301828160750973091840000000000*pi^27
+
5678676266309306788541035396309731647349500949331546931497055530597512275558400000000*pi^25
+
5105991960019549058452542530588017656394060218678356381877167797948310340716646629376000000*pi^23
+
2549532721073161320813573251739943403416211141146068576058696718811551656135194753391405301760000*pi^21
+
657095405032746165913085439309095208508520947843641086968111115382839971525328652444285097953578188800*pi^19
+
67811635493693639051933681494545965829144223821030181211101313460162528234742791826213705654429291457445888*pi^17
- 55*(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
+
69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
+
213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
+
344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
+
309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
+
154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
+
39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
+
1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
+
150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
+
7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)*iL(0))/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
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69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
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213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
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344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
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309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
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154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
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39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
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4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
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15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
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8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
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1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
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150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
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7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
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199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
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3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
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73519567781715457600000000000000000000000000000000000000000000000000))*sqrt(39999520001)*sinh(500*sqrt(39999520001)*t)
-
39999520001*(48553854400748900994619223121592320000000000000000000*pi^33
+ 885093441511177236469563375138029187487707955200000000000000*pi^31 +
5762614644727181502199622005629107366737575357135716352000000000000*pi^29
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17582745668435544033794225006259328398284696009195621044809891840000000000*pi^27
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28393395528322380410092320483097793954042579426936624074819523343443558400000000*pi^25
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25529972565154235715182012273549544113288989967262233589110955294734654034149376000000*pi^23
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12747669979235852524774940330894201859737563386359849718542009866893001590429945440501760000*pi^21
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3285478667912099906162886684499791391122657874848001688874853886706562025247069531475757354188800*pi^19
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339058346998574110595468640640319300420037799548358086879096075128555989941671056404057118702775205888*pi^17
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589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
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69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
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213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
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344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
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309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
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154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
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39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
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4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
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15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
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8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
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1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
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150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
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7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
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199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
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3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)*iL(0))*cosh(500*sqrt(39999520001)*t)/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
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69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
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213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
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344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
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309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
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154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
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39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
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4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
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15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
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8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
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1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
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150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
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7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
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199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
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3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000))*e^(-100000500*t)
- 1519382596875/2048*pi*cos(20000*pi*t)/(400*pi^4 + 39999960001*pi^2 +
121000000) - 38675193375/512*pi*cos(100000*pi*t)/(10000*pi^4 +
39999960001*pi^2 + 4840000) + 911629558125/512*pi*cos(60000*pi*t)/
(32400*pi^4 + 359999640009*pi^2 + 121000000) +
10625053125/5632*pi*cos(220000*pi*t)/(48400*pi^4 + 39999960001*pi^2 +
1000000) + 1275006375/4096*pi*cos(300000*pi*t)/(810000*pi^4 +
359999640009*pi^2 + 4840000) + 1353631768125/1024*pi*cos(140000*pi*t)/
(960400*pi^4 + 1959998040049*pi^2 + 121000000) -
669378346875/1024*pi*cos(180000*pi*t)/(2624400*pi^4 +
3239996760081*pi^2 + 121000000) - 27625138125/512*pi*cos(260000*pi*t)/
(11424400*pi^4 + 6759993240169*pi^2 + 121000000) -
2125010625/4096*pi*cos(340000*pi*t)/(33408400*pi^4 +
11559988440289*pi^2 + 121000000) + 37984375/512*(550*pi -
pi^3)*sin(20000*pi*t)/((400*pi^4 + 39999960001*pi^2 + 121000000)*pi) +
4834375/128*(22*pi - pi^3)*sin(100000*pi*t)/((10000*pi^4 +
39999960001*pi^2 + 4840000)*pi) - 7596875/128*(550*pi -
9*pi^3)*sin(60000*pi*t)/((32400*pi^4 + 359999640009*pi^2 +
121000000)*pi) - 265625/1408*(50*pi - 11*pi^3)*sin(220000*pi*t)/
((48400*pi^4 + 39999960001*pi^2 + 1000000)*pi) - 53125/1024*(22*pi -
9*pi^3)*sin(300000*pi*t)/((810000*pi^4 + 359999640009*pi^2 +
4840000)*pi) - 4834375/256*(550*pi - 49*pi^3)*sin(140000*pi*t)/
((960400*pi^4 + 1959998040049*pi^2 + 121000000)*pi) +
1859375/256*(550*pi - 81*pi^3)*sin(180000*pi*t)/((2624400*pi^4 +
3239996760081*pi^2 + 121000000)*pi) + 53125/128*(550*pi -
169*pi^3)*sin(260000*pi*t)/((11424400*pi^4 + 6759993240169*pi^2 +
121000000)*pi) + 3125/1024*(550*pi - 289*pi^3)*sin(340000*pi*t)/
((33408400*pi^4 + 11559988440289*pi^2 + 121000000)*pi), iL(t) ==
1/2199973600055*((200001*(48553854400748900994619223121592320000000000000000000*pi^33
+ 885093441511177236469563375138029187487707955200000000000000*pi^31 +
5762614644727181502199622005629107366737575357135716352000000000000*pi^29
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17582745668435544033794225006259328398284696009195621044809891840000000000*pi^27
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28393395528322380410092320483097793954042579426936624074819523343443558400000000*pi^25
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25529972565154235715182012273549544113288989967262233589110955294734654034149376000000*pi^23
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12747669979235852524774940330894201859737563386359849718542009866893001590429945440501760000*pi^21
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3285478667912099906162886684499791391122657874848001688874853886706562025247069531475757354188800*pi^19
+
339058346998574110595468640640319300420037799548358086879096075128555989941671056404057118702775205888*pi^17
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589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
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69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
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213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
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344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
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309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
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154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
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39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
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4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
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15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
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8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
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1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
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150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
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7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
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199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
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3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
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23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)*iL(0))/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
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69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
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213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
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344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
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309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
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154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
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39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
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1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
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150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
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7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)
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9710766025031384988013544218871275192320000000000000000000*pi^33 +
177018599792404491862692642760604759673230448603955200000000000000*pi^31
+
1152522352680802370650423087171636473875301765568694008676352000000000000*pi^29
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3516547375402871395063366631938885526016578982734301828160750973091840000000000*pi^27
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5678676266309306788541035396309731647349500949331546931497055530597512275558400000000*pi^25
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5105991960019549058452542530588017656394060218678356381877167797948310340716646629376000000*pi^23
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2549532721073161320813573251739943403416211141146068576058696718811551656135194753391405301760000*pi^21
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657095405032746165913085439309095208508520947843641086968111115382839971525328652444285097953578188800*pi^19
+
67811635493693639051933681494545965829144223821030181211101313460162528234742791826213705654429291457445888*pi^17
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589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
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69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
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213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
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344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
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309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
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154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
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39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
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4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
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15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
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8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
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1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
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150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
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7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
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199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
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3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)*iL(0))/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
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69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
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213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
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344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
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309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
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154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
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39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
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4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
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15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
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8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
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1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
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150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
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7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
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199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
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3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000))*sqrt(39999520001)*sinh(500*sqrt(39999520001)*t)
-
39999520001*(48553854400748900994619223121592320000000000000000000*pi^33
+ 885093441511177236469563375138029187487707955200000000000000*pi^31 +
5762614644727181502199622005629107366737575357135716352000000000000*pi^29
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17582745668435544033794225006259328398284696009195621044809891840000000000*pi^27
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28393395528322380410092320483097793954042579426936624074819523343443558400000000*pi^25
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25529972565154235715182012273549544113288989967262233589110955294734654034149376000000*pi^23
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12747669979235852524774940330894201859737563386359849718542009866893001590429945440501760000*pi^21
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3285478667912099906162886684499791391122657874848001688874853886706562025247069531475757354188800*pi^19
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339058346998574110595468640640319300420037799548358086879096075128555989941671056404057118702775205888*pi^17
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589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
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69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
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213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
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344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
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309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
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154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
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39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
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4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
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15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
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8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
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1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
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150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
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7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000)*iL(0))*cosh(500*sqrt(39999520001)*t)/
(4887723614404997816995184640000000000000000000000*pi^36 +
589435040079972338168160206520560271360000000000000000000*pi^34 +
10744874834004010133833102694454580198661943204249600000000000000*pi^32
+
69957103049794008061435063986780974017401602338778688208896000000000000*pi^30
+
213451363181468236147686498300007699919218506267623938783645768888320000000000*pi^28
+
344690704262194632140750454899533485773823347343750759733866084712877911603200000000*pi^26
+
309929266132433155794206598382643419431612786687101460417874912623099327443720482048000000*pi^24
+
154754416767019877038887201488344012802742969743612419190523382618713328450430857737303204480000*pi^22
+
39885119348351220255382751852773833677016431547932977100914512296266638670440574620720458350862912400*pi^20
+
4116107358966377621597546691982518574677126190016181743247450935344032318776269999908606268866323612204249*pi^18
+
15015584355822884387334005586754075690416807040219830277775957237483160724948196994614179862532863400000*pi^16
+
8280067843291241551494704973964333930047638444894368848106205310338383295402689757067427641600000000*pi^14
+
1630762057489728403060241840501452264854489260296524744911350754680623831259599494400000000000000*pi^12
+
150516448098125471926917765227443625038926483066927061155381037002419683200000000000000000000*pi^10
+
7352598425857053725516326373709508654764106627672718723697148800000000000000000000000000*pi^8
+
199986237720900540819829795019874351466771775118828800000000000000000000000000000000*pi^6
+
3020694614548719071846766021260524140499200000000000000000000000000000000000000*pi^4
+
23550542129521358499713600846400000000000000000000000000000000000000000000*pi^2
+
73519567781715457600000000000000000000000000000000000000000000000000))*e^(-100000500*t)
+ 2431012155/32768*pi*cos(20000*pi*t)/(400*pi^4 + 39999960001*pi^2 +
121000000) + 309401547/40960*pi*cos(100000*pi*t)/(10000*pi^4 +
39999960001*pi^2 + 4840000) - 1458607293/8192*pi*cos(60000*pi*t)/
(32400*pi^4 + 359999640009*pi^2 + 121000000) -
17000085/90112*pi*cos(220000*pi*t)/(48400*pi^4 + 39999960001*pi^2 +
1000000) - 10200051/327680*pi*cos(300000*pi*t)/(810000*pi^4 +
359999640009*pi^2 + 4840000) - 2165810829/16384*pi*cos(140000*pi*t)/
(960400*pi^4 + 1959998040049*pi^2 + 121000000) +
1071005355/16384*pi*cos(180000*pi*t)/(2624400*pi^4 +
3239996760081*pi^2 + 121000000) + 44200221/8192*pi*cos(260000*pi*t)/
(11424400*pi^4 + 6759993240169*pi^2 + 121000000) +
3400017/65536*pi*cos(340000*pi*t)/(33408400*pi^4 + 11559988440289*pi^2
+ 121000000) - 60775/8192*(550*pi - pi^3)*sin(20000*pi*t)/((400*pi^4 +
39999960001*pi^2 + 121000000)*pi) - 7735/2048*(22*pi -
pi^3)*sin(100000*pi*t)/((10000*pi^4 + 39999960001*pi^2 + 4840000)*pi)
+ 12155/2048*(550*pi - 9*pi^3)*sin(60000*pi*t)/((32400*pi^4 +
359999640009*pi^2 + 121000000)*pi) + 425/22528*(50*pi -
11*pi^3)*sin(220000*pi*t)/((48400*pi^4 + 39999960001*pi^2 +
1000000)*pi) + 85/16384*(22*pi - 9*pi^3)*sin(300000*pi*t)/
((810000*pi^4 + 359999640009*pi^2 + 4840000)*pi) + 7735/4096*(550*pi -
49*pi^3)*sin(140000*pi*t)/((960400*pi^4 + 1959998040049*pi^2 +
121000000)*pi) - 2975/4096*(550*pi - 81*pi^3)*sin(180000*pi*t)/
((2624400*pi^4 + 3239996760081*pi^2 + 121000000)*pi) - 85/2048*(550*pi
- 169*pi^3)*sin(260000*pi*t)/((11424400*pi^4 + 6759993240169*pi^2 +
121000000)*pi) - 5/16384*(550*pi - 289*pi^3)*sin(340000*pi*t)/
((33408400*pi^4 + 11559988440289*pi^2 + 121000000)*pi)]
--
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