Jacobi elliptic function nd: Series representations (formula 09.32.06.0015)

JacobiND

$Mathematica Notation$

Elliptic Functions

JacobiND[z,m]

Series representations

Generalized power series

Expansions at m==1

http://functions.wolfram.com/09.32.06.0015.01

Input Form

JacobiND[z, m] \[Proportional] Cosh[z] + (1/4) Sinh[z] (z + Cosh[z] Sinh[z]) (m - 1) + (1/256) ((7 + 8 z^2) Cosh[z] - 8 Cosh[3 z] + Cosh[5 z] - 24 z Sinh[z] + 12 z Sinh[3 z]) (m - 1)^2 + (1/12288) (-3 (67 + 88 z^2) Cosh[z] + 6 (41 + 36 z^2) Cosh[3 z] - 48 Cosh[5 z] + 3 Cosh[7 z] + 32 z (21 + z^2) Sinh[z] - 468 z Sinh[3 z] + 60 z Sinh[5 z]) (m - 1)^3 + (1/196608) (2 (1107 + 1560 z^2 + 16 z^4) Cosh[z] - 81 (35 + 48 z^2) Cosh[3 z] + 30 (23 + 20 z^2) Cosh[5 z] - 72 Cosh[7 z] + 3 Cosh[9 z] - 4 z (1845 + 128 z^2) Sinh[z] + 72 z (83 + 12 z^2) Sinh[3 z] - 1260 z Sinh[5 z] + 84 z Sinh[7 z]) (m - 1)^4 + (1/15728640) (-120 (1101 + 1628 z^2 + 28 z^4) Cosh[z] + 45 (3887 + 6600 z^2 + 288 z^4) Cosh[3 z] - 240 (204 + 325 z^2) Cosh[5 z] + 30 (221 + 196 z^2) Cosh[7 z] - 480 Cosh[9 z] + 15 Cosh[11 z] + 8 z (55245 + 4580 z^2 + 16 z^4) Sinh[z] - 1440 z (272 + 69 z^2) Sinh[3 z] + 200 z (531 + 100 z^2) Sinh[5 z] - 12180 z Sinh[7 z] + 540 z Sinh[9 z]) (m - 1)^5 + (1/754974720) (8 (622845 + 955575 z^2 + 21180 z^4 + 32 z^6) Cosh[z] - 270 (25081 + 48564 z^2 + 4032 z^4) Cosh[3 z] + 15 (139557 + 301800 z^2 + 20000 z^4) Cosh[5 z] - 720 (465 + 833 z^2) Cosh[7 z] + 90 (359 + 324 z^2) Cosh[9 z] - 1800 Cosh[11 z] + 45 Cosh[13 z] - 12 z (1397055 + 129240 z^2 + 832 z^4) Sinh[z] + 648 z (24385 + 8180 z^2 + 144 z^4) Sinh[3 z] - 300 z (16761 + 6200 z^2) Sinh[5 z] + 840 z (909 + 196 z^2) Sinh[7 z] - 59940 z Sinh[9 z] + 1980 z Sinh[11 z]) (m - 1)^6 + (1/84557168640) (-14 (32480415 + 51350220 z^2 + 1331760 z^4 + 3968 z^6) Cosh[z] + 63 (10022255 + 21261240 z^2 + 2453760 z^4 + 20736 z^6) Cosh[3 z] - 315 (668241 + 1750000 z^2 + 240000 z^4) Cosh[5 z] + 735 (51573 + 133560 z^2 + 10976 z^4) Cosh[7 z] - 5040 (874 + 1701 z^2) Cosh[9 z] + 630 (529 + 484 z^2) Cosh[11 z] - 15120 Cosh[13 z] + 315 Cosh[15 z] + 4 z (384987645 + 38446800 z^2 + 337344 z^4 + 256 z^6) Sinh[z] - 756 z (2009245 + 801960 z^2 + 28512 z^4) Sinh[3 z] + 2100 z (257937 + 135400 z^2 + 4000 z^4) Sinh[5 z] - 8820 z (11175 + 5096 z^2) Sinh[7 z] + 22680 z (461 + 108 z^2) Sinh[9 z] - 623700 z Sinh[11 z] + 16380 z Sinh[13 z]) (m - 1)^7 + (1/1352914698240) ((6089965245 + 9875050920 z^2 + 285670560 z^4 + 1211392 z^6 + 512 z^8) Cosh[z] - 63 (136673455 + 310448520 z^2 + 44102880 z^4 + 787968 z^6) Cosh[3 z] + 70 (43550109 + 130369500 z^2 + 26280000 z^4 + 400000 z^6) Cosh[5 z] - 5880 (102195 + 334950 z^2 + 60368 z^4) Cosh[7 z] + 315 (253307 + 745848 z^2 + 69984 z^4) Cosh[9 z] - 55440 (133 + 275 z^2) Cosh[11 z] + 630 (731 + 676 z^2) Cosh[13 z] - 17640 Cosh[15 z] + 315 Cosh[17 z] - 12 z (1730146845 + 183014720 z^2 + 1950368 z^4 + 3072 z^6) Sinh[z] + 648 z (32740365 + 14749280 z^2 + 758016 z^4 + 3456 z^6) Sinh[3 z] - 21000 z (392841 + 257560 z^2 + 16400 z^4) Sinh[5 z] + 588 z (2906355 + 1977640 z^2 + 76832 z^4) Sinh[7 z] - 11340 z (19451 + 10152 z^2) Sinh[9 z] + 9240 z (1953 + 484 z^2) Sinh[11 z] - 868140 z Sinh[13 z] + 18900 z Sinh[15 z]) (m - 1)^8 + (1/194819716546560) (-18 (41633079075 + 69005718180 z^2 + 2165834160 z^4 + 11495680 z^6 + 10496 z^8) Cosh[z] + 162 (6643081375 + 15922895940 z^2 + 2616757920 z^4 + 69745536 z^6 + 186624 z^8) Cosh[3 z] - 630 (635484717 + 2102352300 z^2 + 542880000 z^4 + 18400000 z^6) Cosh[5 z] + 126 (673078005 + 2605542660 z^2 + 719147520 z^4 + 15059072 z^6) Cosh[7 z] - 45360 (274924 + 1059399 z^2 + 227448 z^4) Cosh[9 z] + 945 (1409247 + 4562184 z^2 + 468512 z^4) Cosh[11 z] - 45360 (2264 + 4901 z^2) Cosh[13 z] + 28350 (193 + 180 z^2) Cosh[15 z] - 181440 Cosh[17 z] + 2835 Cosh[19 z] + 8 z (321447804615 + 35584337880 z^2 + 434436912 z^4 + 1008000 z^6 + 256 z^8) Sinh[z] - 3888 z (695415875 + 342903750 z^2 + 22302000 z^4 + 222912 z^6) Sinh[3 z] + 900 z (1251408501 + 959477400 z^2 + 92400000 z^4 + 800000 z^6) Sinh[5 z] - 5292 z (48678885 + 42904400 z^2 + 3764768 z^4) Sinh[7 z] + 20412 z (1876715 + 1517400 z^2 + 69984 z^4) Sinh[9 z] - 41580 z (92781 + 53240 z^2) Sinh[11 z] + 98280 z (2619 + 676 z^2) Sinh[13 z] - 10376100 z Sinh[15 z] + 192780 z Sinh[17 z]) (m - 1)^9 + (1/15585577323724800) ((52079055504525 + 88003507762800 z^2 + 2944262714400 z^4 + 18304957440 z^6 + 25320960 z^8 + 4096 z^10) Cosh[z] - 1215 (62399823955 + 156265593960 z^2 + 28639981440 z^4 + 988533504 z^6 + 5971968 z^8) Cosh[3 z] + 225 (130698250767 + 467583076800 z^2 + 143925600000 z^4 + 7554400000 z^6 + 40000000 z^8) Cosh[5 z] - 945 (6994157055 + 30686626320 z^2 + 11186739200 z^4 + 542126592 z^6) Cosh[7 z] + 17010 (61983655 + 289458900 z^2 + 98210880 z^4 + 2519424 z^6) Cosh[9 z] - 113400 (1109661 + 4826206 z^2 + 1171280 z^4) Cosh[11 z] + 4725 (2394237 + 8335080 z^2 + 913952 z^4) Cosh[13 z] - 680400 (1103 + 2475 z^2) Cosh[15 z] + 28350 (1231 + 1156 z^2) Cosh[17 z] - 1020600 Cosh[19 z] + 14175 Cosh[21 z] - 160 z (1124016300855 + 129145913190 z^2 + 1745402148 z^4 + 5196384 z^6 + 2944 z^8) Sinh[z] + 131220 z (1475445055 + 780845800 z^2 + 59976224 z^4 + 917760 z^6 + 1536 z^8) Sinh[3 z] - 540000 z (158031489 + 136270295 z^2 + 17170300 z^4 + 340000 z^6) Sinh[5 z] + 17640 z (1197550395 + 1268918700 z^2 + 174254976 z^4 + 2151296 z^6) Sinh[7 z] - 918540 z (3812645 + 4107600 z^2 + 443232 z^4) Sinh[9 z] + 41580 z (9864255 + 9026600 z^2 + 468512 z^4) Sinh[11 z] - 737100 z (46115 + 28392 z^2) Sinh[13 z] + 1701000 z (1127 + 300 z^2) Sinh[15 z] - 66509100 z Sinh[17 z] + 1077300 z Sinh[19 z]) (m - 1)^10 + O[(m - 1)^11]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["JacobiND", "[", RowBox[List["z", ",", "m"]], "]"]], "\[Proportional]", RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], "+", RowBox[List[FractionBox["1", "4"], RowBox[List["Sinh", "[", "z", "]"]], " ", RowBox[List["(", RowBox[List["z", "+", RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]]]], ")"]], RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]]]], "+", RowBox[List[FractionBox["1", "256"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["7", "+", RowBox[List["8", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["8", " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]], "-", RowBox[List["24", " ", "z", " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["12", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "2"]]], "+", RowBox[List[FractionBox["1", "12288"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "3"]], " ", RowBox[List["(", RowBox[List["67", "+", RowBox[List["88", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "+", RowBox[List["6", " ", RowBox[List["(", RowBox[List["41", "+", RowBox[List["36", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["48", " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["3", " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["32", " ", "z", " ", RowBox[List["(", RowBox[List["21", "+", SuperscriptBox["z", "2"]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "-", RowBox[List["468", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["60", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "3"]]], "+", RowBox[List[FractionBox["1", "196608"], RowBox[List["(", RowBox[List[RowBox[List["2", " ", RowBox[List["(", RowBox[List["1107", "+", RowBox[List["1560", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["16", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["81", " ", RowBox[List["(", RowBox[List["35", "+", RowBox[List["48", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["30", " ", RowBox[List["(", RowBox[List["23", "+", RowBox[List["20", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["72", " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["3", " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["1845", "+", RowBox[List["128", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["72", " ", "z", " ", RowBox[List["(", RowBox[List["83", "+", RowBox[List["12", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["1260", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["84", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "4"]]], "+", RowBox[List[FractionBox["1", "15728640"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "120"]], " ", RowBox[List["(", RowBox[List["1101", "+", RowBox[List["1628", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["28", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "+", RowBox[List["45", " ", RowBox[List["(", RowBox[List["3887", "+", RowBox[List["6600", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["288", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["240", " ", RowBox[List["(", RowBox[List["204", "+", RowBox[List["325", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["30", " ", RowBox[List["(", RowBox[List["221", "+", RowBox[List["196", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["480", " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["15", " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List["55245", "+", RowBox[List["4580", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["16", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "-", RowBox[List["1440", " ", "z", " ", RowBox[List["(", RowBox[List["272", "+", RowBox[List["69", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["200", " ", "z", " ", RowBox[List["(", RowBox[List["531", "+", RowBox[List["100", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["12180", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["540", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "5"]]], "+", RowBox[List[FractionBox["1", "754974720"], RowBox[List["(", RowBox[List[RowBox[List["8", " ", RowBox[List["(", RowBox[List["622845", "+", RowBox[List["955575", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["21180", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["32", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["270", " ", RowBox[List["(", RowBox[List["25081", "+", RowBox[List["48564", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["4032", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["15", " ", RowBox[List["(", RowBox[List["139557", "+", RowBox[List["301800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["20000", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["720", " ", RowBox[List["(", RowBox[List["465", "+", RowBox[List["833", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["90", " ", RowBox[List["(", RowBox[List["359", "+", RowBox[List["324", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["1800", " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["45", " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "-", RowBox[List["12", " ", "z", " ", RowBox[List["(", RowBox[List["1397055", "+", RowBox[List["129240", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["832", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["648", " ", "z", " ", RowBox[List["(", RowBox[List["24385", "+", RowBox[List["8180", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["144", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["300", " ", "z", " ", RowBox[List["(", RowBox[List["16761", "+", RowBox[List["6200", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["840", " ", "z", " ", RowBox[List["(", RowBox[List["909", "+", RowBox[List["196", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["59940", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["1980", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "6"]]], "+", RowBox[List[FractionBox["1", "84557168640"], RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "14"]], " ", RowBox[List["(", RowBox[List["32480415", "+", RowBox[List["51350220", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["1331760", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["3968", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "+", RowBox[List["63", " ", RowBox[List["(", RowBox[List["10022255", "+", RowBox[List["21261240", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["2453760", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["20736", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["315", " ", RowBox[List["(", RowBox[List["668241", "+", RowBox[List["1750000", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["240000", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["735", " ", RowBox[List["(", RowBox[List["51573", "+", RowBox[List["133560", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["10976", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["5040", " ", RowBox[List["(", RowBox[List["874", "+", RowBox[List["1701", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["630", " ", RowBox[List["(", RowBox[List["529", "+", RowBox[List["484", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "-", RowBox[List["15120", " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "+", RowBox[List["315", " ", RowBox[List["Cosh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["384987645", "+", RowBox[List["38446800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["337344", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["256", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "-", RowBox[List["756", " ", "z", " ", RowBox[List["(", RowBox[List["2009245", "+", RowBox[List["801960", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["28512", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["2100", " ", "z", " ", RowBox[List["(", RowBox[List["257937", "+", RowBox[List["135400", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["4000", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["8820", " ", "z", " ", RowBox[List["(", RowBox[List["11175", "+", RowBox[List["5096", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["22680", " ", "z", " ", RowBox[List["(", RowBox[List["461", "+", RowBox[List["108", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["623700", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["16380", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["13", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "7"]]], "+", RowBox[List[FractionBox["1", "1352914698240"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["6089965245", "+", RowBox[List["9875050920", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["285670560", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["1211392", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["512", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["63", " ", RowBox[List["(", RowBox[List["136673455", "+", RowBox[List["310448520", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["44102880", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["787968", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["70", " ", RowBox[List["(", RowBox[List["43550109", "+", RowBox[List["130369500", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["26280000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["400000", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["5880", " ", RowBox[List["(", RowBox[List["102195", "+", RowBox[List["334950", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["60368", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["315", " ", RowBox[List["(", RowBox[List["253307", "+", RowBox[List["745848", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["69984", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["55440", " ", RowBox[List["(", RowBox[List["133", "+", RowBox[List["275", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["630", " ", RowBox[List["(", RowBox[List["731", "+", RowBox[List["676", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "-", RowBox[List["17640", " ", RowBox[List["Cosh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "+", RowBox[List["315", " ", RowBox[List["Cosh", "[", RowBox[List["17", " ", "z"]], "]"]]]], "-", RowBox[List["12", " ", "z", " ", RowBox[List["(", RowBox[List["1730146845", "+", RowBox[List["183014720", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["1950368", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["3072", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["648", " ", "z", " ", RowBox[List["(", RowBox[List["32740365", "+", RowBox[List["14749280", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["758016", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["3456", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["21000", " ", "z", " ", RowBox[List["(", RowBox[List["392841", "+", RowBox[List["257560", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["16400", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["588", " ", "z", " ", RowBox[List["(", RowBox[List["2906355", "+", RowBox[List["1977640", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["76832", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["11340", " ", "z", " ", RowBox[List["(", RowBox[List["19451", "+", RowBox[List["10152", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["9240", " ", "z", " ", RowBox[List["(", RowBox[List["1953", "+", RowBox[List["484", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "-", RowBox[List["868140", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "+", RowBox[List["18900", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["15", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "8"]]], "+", RowBox[List[FractionBox["1", "194819716546560"], RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "18"]], " ", RowBox[List["(", RowBox[List["41633079075", "+", RowBox[List["69005718180", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["2165834160", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["11495680", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["10496", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "+", RowBox[List["162", " ", RowBox[List["(", RowBox[List["6643081375", "+", RowBox[List["15922895940", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["2616757920", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["69745536", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["186624", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["630", " ", RowBox[List["(", RowBox[List["635484717", "+", RowBox[List["2102352300", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["542880000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["18400000", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["126", " ", RowBox[List["(", RowBox[List["673078005", "+", RowBox[List["2605542660", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["719147520", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["15059072", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["45360", " ", RowBox[List["(", RowBox[List["274924", "+", RowBox[List["1059399", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["227448", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["945", " ", RowBox[List["(", RowBox[List["1409247", "+", RowBox[List["4562184", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["468512", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "-", RowBox[List["45360", " ", RowBox[List["(", RowBox[List["2264", "+", RowBox[List["4901", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "+", RowBox[List["28350", " ", RowBox[List["(", RowBox[List["193", "+", RowBox[List["180", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "-", RowBox[List["181440", " ", RowBox[List["Cosh", "[", RowBox[List["17", " ", "z"]], "]"]]]], "+", RowBox[List["2835", " ", RowBox[List["Cosh", "[", RowBox[List["19", " ", "z"]], "]"]]]], "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List["321447804615", "+", RowBox[List["35584337880", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["434436912", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["1008000", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["256", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "-", RowBox[List["3888", " ", "z", " ", RowBox[List["(", RowBox[List["695415875", "+", RowBox[List["342903750", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["22302000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["222912", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["900", " ", "z", " ", RowBox[List["(", RowBox[List["1251408501", "+", RowBox[List["959477400", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["92400000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["800000", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["5292", " ", "z", " ", RowBox[List["(", RowBox[List["48678885", "+", RowBox[List["42904400", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["3764768", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["20412", " ", "z", " ", RowBox[List["(", RowBox[List["1876715", "+", RowBox[List["1517400", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["69984", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["41580", " ", "z", " ", RowBox[List["(", RowBox[List["92781", "+", RowBox[List["53240", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["98280", " ", "z", " ", RowBox[List["(", RowBox[List["2619", "+", RowBox[List["676", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "-", RowBox[List["10376100", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "+", RowBox[List["192780", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["17", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "9"]]], "+", RowBox[List[FractionBox["1", "15585577323724800"], RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["52079055504525", "+", RowBox[List["88003507762800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["2944262714400", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["18304957440", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["25320960", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["4096", " ", SuperscriptBox["z", "10"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["1215", " ", RowBox[List["(", RowBox[List["62399823955", "+", RowBox[List["156265593960", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["28639981440", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["988533504", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["5971968", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["225", " ", RowBox[List["(", RowBox[List["130698250767", "+", RowBox[List["467583076800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["143925600000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["7554400000", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["40000000", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["945", " ", RowBox[List["(", RowBox[List["6994157055", "+", RowBox[List["30686626320", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["11186739200", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["542126592", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["17010", " ", RowBox[List["(", RowBox[List["61983655", "+", RowBox[List["289458900", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["98210880", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["2519424", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["113400", " ", RowBox[List["(", RowBox[List["1109661", "+", RowBox[List["4826206", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["1171280", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["4725", " ", RowBox[List["(", RowBox[List["2394237", "+", RowBox[List["8335080", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["913952", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "-", RowBox[List["680400", " ", RowBox[List["(", RowBox[List["1103", "+", RowBox[List["2475", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "+", RowBox[List["28350", " ", RowBox[List["(", RowBox[List["1231", "+", RowBox[List["1156", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["17", " ", "z"]], "]"]]]], "-", RowBox[List["1020600", " ", RowBox[List["Cosh", "[", RowBox[List["19", " ", "z"]], "]"]]]], "+", RowBox[List["14175", " ", RowBox[List["Cosh", "[", RowBox[List["21", " ", "z"]], "]"]]]], "-", RowBox[List["160", " ", "z", " ", RowBox[List["(", RowBox[List["1124016300855", "+", RowBox[List["129145913190", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["1745402148", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["5196384", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["2944", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["131220", " ", "z", " ", RowBox[List["(", RowBox[List["1475445055", "+", RowBox[List["780845800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["59976224", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["917760", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["1536", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["540000", " ", "z", " ", RowBox[List["(", RowBox[List["158031489", "+", RowBox[List["136270295", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["17170300", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["340000", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["17640", " ", "z", " ", RowBox[List["(", RowBox[List["1197550395", "+", RowBox[List["1268918700", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["174254976", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["2151296", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["918540", " ", "z", " ", RowBox[List["(", RowBox[List["3812645", "+", RowBox[List["4107600", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["443232", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["41580", " ", "z", " ", RowBox[List["(", RowBox[List["9864255", "+", RowBox[List["9026600", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["468512", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "-", RowBox[List["737100", " ", "z", " ", RowBox[List["(", RowBox[List["46115", "+", RowBox[List["28392", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "+", RowBox[List["1701000", " ", "z", " ", RowBox[List["(", RowBox[List["1127", "+", RowBox[List["300", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "-", RowBox[List["66509100", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["17", " ", "z"]], "]"]]]], "+", RowBox[List["1077300", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["19", " ", "z"]], "]"]]]]]], ")"]], SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "10"]]], "+", RowBox[List["O", "[", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "11"], "]"]]]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> nd </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> ❘ </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> ∝ </mo> <mrow> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 4 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mi> z </mi> <mo> + </mo> <mrow> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 256 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 8 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 7 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 8 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo> - </mo> <mrow> <mn> 24 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 12 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 12288 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> - </mo> <mn> 3 </mn> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 88 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 67 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 6 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 36 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 41 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 48 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 32 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> + </mo> <mn> 21 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 468 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 60 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 3 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 196608 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 16 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1560 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1107 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 81 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 48 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 35 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 30 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 20 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 23 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 72 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 4 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 128 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1845 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 72 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 12 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 83 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 1260 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 84 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 15728640 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> - </mo> <mn> 120 </mn> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 28 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1628 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1101 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 45 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 288 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 6600 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 3887 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 240 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 325 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 204 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 30 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 196 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 221 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 480 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 8 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 16 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 4580 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 55245 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 1440 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 69 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 272 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 200 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 100 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 531 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 12180 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 540 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 5 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 754974720 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 8 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 32 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 21180 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 955575 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 622845 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 270 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 4032 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 48564 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 25081 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 20000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 301800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 139557 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 720 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 833 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 465 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 90 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 324 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 359 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 1800 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 45 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 12 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 832 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 129240 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1397055 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 648 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 144 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 8180 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 24385 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 300 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 6200 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 16761 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 840 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 196 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 909 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 59940 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 1980 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 84557168640 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> - </mo> <mn> 14 </mn> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 3968 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1331760 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 51350220 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 32480415 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 63 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 20736 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 2453760 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 21261240 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 10022255 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 315 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 240000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1750000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 668241 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 735 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 10976 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 133560 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 51573 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 5040 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 1701 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 874 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 630 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 484 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 529 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 15120 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 315 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 4 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 256 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 337344 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 38446800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 384987645 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 756 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 28512 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 801960 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 2009245 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 2100 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 4000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 135400 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 257937 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 8820 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 5096 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 11175 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 22680 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 108 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 461 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 623700 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 16380 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 7 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 1352914698240 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 512 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1211392 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 285670560 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 9875050920 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 6089965245 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 63 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 787968 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 44102880 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 310448520 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 136673455 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 70 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 400000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 26280000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 130369500 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 43550109 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 5880 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 60368 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 334950 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 102195 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 315 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 69984 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 745848 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 253307 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 55440 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 275 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 133 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 630 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 676 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 731 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 17640 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 315 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 17 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 12 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 3072 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1950368 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 183014720 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1730146845 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 648 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 3456 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 758016 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 14749280 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 32740365 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 21000 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 16400 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 257560 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 392841 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 588 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 76832 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1977640 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 2906355 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 11340 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 10152 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 19451 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 9240 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 484 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1953 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 868140 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 18900 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 194819716546560 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> - </mo> <mn> 18 </mn> </mrow> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 10496 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 11495680 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 2165834160 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 69005718180 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 41633079075 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 162 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 186624 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 69745536 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 2616757920 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 15922895940 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 6643081375 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 630 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 18400000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 542880000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 2102352300 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 635484717 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 126 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 15059072 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 719147520 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 2605542660 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 673078005 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 45360 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 227448 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1059399 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 274924 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 945 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 468512 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 4562184 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1409247 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 45360 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 4901 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 2264 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 28350 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 180 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 193 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 181440 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 17 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 2835 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 19 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 8 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 256 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1008000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 434436912 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 35584337880 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 321447804615 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 3888 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 222912 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 22302000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 342903750 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 695415875 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 900 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 800000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 92400000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 959477400 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1251408501 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 5292 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 3764768 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 42904400 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 48678885 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 20412 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 69984 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1517400 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1876715 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 41580 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 53240 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 92781 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 98280 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 676 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 2619 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 10376100 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 192780 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 17 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 9 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 15585577323724800 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 4096 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 25320960 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 18304957440 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 2944262714400 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 88003507762800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 52079055504525 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 1215 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 5971968 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 988533504 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 28639981440 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 156265593960 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 62399823955 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 225 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 40000000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 7554400000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 143925600000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 467583076800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 130698250767 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 945 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 542126592 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 11186739200 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 30686626320 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 6994157055 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 17010 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2519424 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 98210880 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 289458900 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 61983655 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 113400 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 1171280 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 4826206 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1109661 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 4725 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 913952 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 8335080 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 2394237 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 680400 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2475 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1103 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 28350 </mn> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 1156 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1231 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 17 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 1020600 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 19 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 14175 </mn> <mo> ⁢ </mo> <mrow> <mi> cosh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 21 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 160 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2944 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 5196384 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1745402148 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 129145913190 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1124016300855 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 131220 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 1536 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 8 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 917760 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 59976224 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 780845800 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1475445055 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 540000 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 340000 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 17170300 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 136270295 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 158031489 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 5 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 17640 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 2151296 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 174254976 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 1268918700 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1197550395 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 918540 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 443232 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 4107600 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 3812645 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 9 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 41580 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 468512 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mn> 9026600 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 9864255 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 11 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 737100 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 28392 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 46115 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 13 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 1701000 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mn> 300 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 1127 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 15 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 66509100 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 17 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 1077300 </mn> <mo> ⁢ </mo> <mi> z </mi> <mo> ⁢ </mo> <mrow> <mi> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mn> 19 </mn> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 10 </mn> </msup> </mrow> <mo> + </mo> <mrow> <mi> O </mi> <mo> ⁡ </mo> <mo> ( </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mn> 11 </mn> </msup> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportional </ci> <apply> <ci> JacobiND </ci> <ci> z </ci> <ci> m </ci> </apply> <apply> <plus /> <apply> <cosh /> <ci> z </ci> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 4 </cn> <apply> <sinh /> <ci> z </ci> </apply> <apply> <plus /> <ci> z </ci> <apply> <times /> <apply> <cosh /> <ci> z </ci> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> </apply> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 256 </cn> <apply> <plus /> <apply> <times /> <apply> <plus /> <apply> <times /> <cn type='integer'> 8 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 7 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 8 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 24 </cn> <ci> z </ci> <apply> <sinh /> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 12 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 12288 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -3 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 88 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 67 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 6 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 36 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 41 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 48 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 32 </cn> <ci> z </ci> <apply> <plus /> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> 21 </cn> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 468 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 60 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 196608 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 16 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1560 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1107 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 81 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 48 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 35 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 30 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 20 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 23 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 72 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 4 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 128 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1845 </cn> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 72 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 12 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 83 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1260 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 84 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 15728640 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -120 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 28 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1628 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1101 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 45 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 288 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 6600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 3887 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 240 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 325 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 204 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 30 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 196 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 221 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 480 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 15 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 8 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 16 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4580 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 55245 </cn> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1440 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 69 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 272 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 200 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 100 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 531 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12180 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 540 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 5 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 754974720 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 8 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 32 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 21180 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 955575 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 622845 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 270 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 4032 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 48564 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 25081 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 15 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 20000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 301800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 139557 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 720 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 833 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 465 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 90 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 324 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 359 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1800 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 45 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 832 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 129240 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1397055 </cn> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 648 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 144 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 8180 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 24385 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 300 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 6200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 16761 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 840 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 196 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 909 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 59940 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1980 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 84557168640 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -14 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 3968 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1331760 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 51350220 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 32480415 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 63 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 20736 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2453760 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 21261240 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 10022255 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 315 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 240000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1750000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 668241 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 735 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 10976 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 133560 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 51573 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 5040 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 1701 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 874 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 630 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 484 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 529 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 15120 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 315 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 15 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 4 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 256 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 337344 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 38446800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 384987645 </cn> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 756 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 28512 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 801960 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2009245 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2100 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 4000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 135400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 257937 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 8820 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 5096 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 11175 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 22680 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 108 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 461 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 623700 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 16380 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 7 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 1352914698240 </cn> <apply> <plus /> <apply> <times /> <apply> <plus /> <apply> <times /> <cn type='integer'> 512 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1211392 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 285670560 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 9875050920 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 6089965245 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 63 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 787968 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 44102880 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 310448520 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 136673455 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 70 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 400000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 26280000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 130369500 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 43550109 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 5880 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 60368 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 334950 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 102195 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 315 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 69984 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 745848 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 253307 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 55440 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 275 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 133 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 630 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 676 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 731 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 17640 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 15 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 315 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 17 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 12 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 3072 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1950368 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 183014720 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1730146845 </cn> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 648 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 3456 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 758016 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 14749280 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 32740365 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 21000 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 16400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 257560 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 392841 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 588 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 76832 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1977640 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2906355 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 11340 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 10152 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 19451 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 9240 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 484 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1953 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 868140 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 18900 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 15 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 194819716546560 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> -18 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 10496 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 11495680 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2165834160 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 69005718180 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 41633079075 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> 162 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 186624 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 69745536 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2616757920 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 15922895940 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 6643081375 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 630 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 18400000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 542880000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2102352300 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 635484717 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 126 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 15059072 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 719147520 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2605542660 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 673078005 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 45360 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 227448 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1059399 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 274924 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 945 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 468512 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4562184 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1409247 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 45360 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 4901 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2264 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 28350 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 180 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 193 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 15 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 181440 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 17 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2835 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 19 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 8 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 256 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1008000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 434436912 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 35584337880 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 321447804615 </cn> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3888 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 222912 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 22302000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 342903750 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 695415875 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 900 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 800000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 92400000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 959477400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1251408501 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 5292 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 3764768 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 42904400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 48678885 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 20412 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 69984 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1517400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1876715 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 41580 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 53240 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 92781 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 98280 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 676 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2619 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 10376100 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 15 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 192780 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 17 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 9 </cn> </apply> </apply> <apply> <times /> <cn type='rational'> 1 <sep /> 15585577323724800 </cn> <apply> <plus /> <apply> <times /> <apply> <plus /> <apply> <times /> <cn type='integer'> 4096 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 10 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 25320960 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 18304957440 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 2944262714400 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 88003507762800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 52079055504525 </cn> </apply> <apply> <cosh /> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1215 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 5971968 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 988533504 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 28639981440 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 156265593960 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 62399823955 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 225 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 40000000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 7554400000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 143925600000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 467583076800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 130698250767 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 945 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 542126592 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 11186739200 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 30686626320 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 6994157055 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 17010 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2519424 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 98210880 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 289458900 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 61983655 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 113400 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 1171280 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4826206 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1109661 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 4725 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 913952 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 8335080 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 2394237 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 680400 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 2475 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1103 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 15 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 28350 </cn> <apply> <plus /> <apply> <times /> <cn type='integer'> 1156 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1231 </cn> </apply> <apply> <cosh /> <apply> <times /> <cn type='integer'> 17 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1020600 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 19 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 14175 </cn> <apply> <cosh /> <apply> <times /> <cn type='integer'> 21 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 160 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 2944 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 5196384 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1745402148 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 129145913190 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1124016300855 </cn> </apply> <apply> <sinh /> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 131220 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 1536 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 917760 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 59976224 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 780845800 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1475445055 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 3 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 540000 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 340000 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 17170300 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 136270295 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 158031489 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 5 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 17640 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 2151296 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 174254976 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 1268918700 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1197550395 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 7 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 918540 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 443232 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 4107600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 3812645 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 9 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 41580 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 468512 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 9026600 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 9864255 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 11 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 737100 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 28392 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 46115 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 13 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1701000 </cn> <ci> z </ci> <apply> <plus /> <apply> <times /> <cn type='integer'> 300 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <cn type='integer'> 1127 </cn> </apply> <apply> <sinh /> <apply> <times /> <cn type='integer'> 15 </cn> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 66509100 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 17 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1077300 </cn> <ci> z </ci> <apply> <sinh /> <apply> <times /> <cn type='integer'> 19 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 10 </cn> </apply> </apply> <apply> <ci> O </ci> <apply> <power /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> 11 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["JacobiND", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], "+", RowBox[List[FractionBox["1", "4"], " ", RowBox[List["Sinh", "[", "z", "]"]], " ", RowBox[List["(", RowBox[List["z", "+", RowBox[List[RowBox[List["Cosh", "[", "z", "]"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]]]], ")"]], " ", RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]]]], "+", RowBox[List[FractionBox["1", "256"], " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["7", "+", RowBox[List["8", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["8", " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]], "-", RowBox[List["24", " ", "z", " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["12", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "2"]]], "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "3"]], " ", RowBox[List["(", RowBox[List["67", "+", RowBox[List["88", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "+", RowBox[List["6", " ", RowBox[List["(", RowBox[List["41", "+", RowBox[List["36", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["48", " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["3", " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["32", " ", "z", " ", RowBox[List["(", RowBox[List["21", "+", SuperscriptBox["z", "2"]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "-", RowBox[List["468", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["60", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "3"]]], "12288"], "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["2", " ", RowBox[List["(", RowBox[List["1107", "+", RowBox[List["1560", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["16", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["81", " ", RowBox[List["(", RowBox[List["35", "+", RowBox[List["48", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["30", " ", RowBox[List["(", RowBox[List["23", "+", RowBox[List["20", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["72", " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["3", " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["1845", "+", RowBox[List["128", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["72", " ", "z", " ", RowBox[List["(", RowBox[List["83", "+", RowBox[List["12", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["1260", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["84", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "4"]]], "196608"], "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "120"]], " ", RowBox[List["(", RowBox[List["1101", "+", RowBox[List["1628", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["28", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "+", RowBox[List["45", " ", RowBox[List["(", RowBox[List["3887", "+", RowBox[List["6600", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["288", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["240", " ", RowBox[List["(", RowBox[List["204", "+", RowBox[List["325", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["30", " ", RowBox[List["(", RowBox[List["221", "+", RowBox[List["196", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["480", " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["15", " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List["55245", "+", RowBox[List["4580", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["16", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "-", RowBox[List["1440", " ", "z", " ", RowBox[List["(", RowBox[List["272", "+", RowBox[List["69", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["200", " ", "z", " ", RowBox[List["(", RowBox[List["531", "+", RowBox[List["100", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["12180", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["540", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "5"]]], "15728640"], "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["8", " ", RowBox[List["(", RowBox[List["622845", "+", RowBox[List["955575", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["21180", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["32", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["270", " ", RowBox[List["(", RowBox[List["25081", "+", RowBox[List["48564", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["4032", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["15", " ", RowBox[List["(", RowBox[List["139557", "+", RowBox[List["301800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["20000", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["720", " ", RowBox[List["(", RowBox[List["465", "+", RowBox[List["833", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["90", " ", RowBox[List["(", RowBox[List["359", "+", RowBox[List["324", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["1800", " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["45", " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "-", RowBox[List["12", " ", "z", " ", RowBox[List["(", RowBox[List["1397055", "+", RowBox[List["129240", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["832", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["648", " ", "z", " ", RowBox[List["(", RowBox[List["24385", "+", RowBox[List["8180", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["144", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["300", " ", "z", " ", RowBox[List["(", RowBox[List["16761", "+", RowBox[List["6200", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["840", " ", "z", " ", RowBox[List["(", RowBox[List["909", "+", RowBox[List["196", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["59940", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["1980", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "6"]]], "754974720"], "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "14"]], " ", RowBox[List["(", RowBox[List["32480415", "+", RowBox[List["51350220", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["1331760", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["3968", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "+", RowBox[List["63", " ", RowBox[List["(", RowBox[List["10022255", "+", RowBox[List["21261240", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["2453760", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["20736", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["315", " ", RowBox[List["(", RowBox[List["668241", "+", RowBox[List["1750000", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["240000", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["735", " ", RowBox[List["(", RowBox[List["51573", "+", RowBox[List["133560", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["10976", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["5040", " ", RowBox[List["(", RowBox[List["874", "+", RowBox[List["1701", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["630", " ", RowBox[List["(", RowBox[List["529", "+", RowBox[List["484", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "-", RowBox[List["15120", " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "+", RowBox[List["315", " ", RowBox[List["Cosh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "+", RowBox[List["4", " ", "z", " ", RowBox[List["(", RowBox[List["384987645", "+", RowBox[List["38446800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["337344", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["256", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "-", RowBox[List["756", " ", "z", " ", RowBox[List["(", RowBox[List["2009245", "+", RowBox[List["801960", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["28512", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["2100", " ", "z", " ", RowBox[List["(", RowBox[List["257937", "+", RowBox[List["135400", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["4000", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["8820", " ", "z", " ", RowBox[List["(", RowBox[List["11175", "+", RowBox[List["5096", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["22680", " ", "z", " ", RowBox[List["(", RowBox[List["461", "+", RowBox[List["108", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["623700", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["16380", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["13", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "7"]]], "84557168640"], "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["6089965245", "+", RowBox[List["9875050920", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["285670560", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["1211392", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["512", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["63", " ", RowBox[List["(", RowBox[List["136673455", "+", RowBox[List["310448520", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["44102880", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["787968", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["70", " ", RowBox[List["(", RowBox[List["43550109", "+", RowBox[List["130369500", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["26280000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["400000", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["5880", " ", RowBox[List["(", RowBox[List["102195", "+", RowBox[List["334950", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["60368", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["315", " ", RowBox[List["(", RowBox[List["253307", "+", RowBox[List["745848", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["69984", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["55440", " ", RowBox[List["(", RowBox[List["133", "+", RowBox[List["275", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["630", " ", RowBox[List["(", RowBox[List["731", "+", RowBox[List["676", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "-", RowBox[List["17640", " ", RowBox[List["Cosh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "+", RowBox[List["315", " ", RowBox[List["Cosh", "[", RowBox[List["17", " ", "z"]], "]"]]]], "-", RowBox[List["12", " ", "z", " ", RowBox[List["(", RowBox[List["1730146845", "+", RowBox[List["183014720", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["1950368", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["3072", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["648", " ", "z", " ", RowBox[List["(", RowBox[List["32740365", "+", RowBox[List["14749280", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["758016", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["3456", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["21000", " ", "z", " ", RowBox[List["(", RowBox[List["392841", "+", RowBox[List["257560", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["16400", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["588", " ", "z", " ", RowBox[List["(", RowBox[List["2906355", "+", RowBox[List["1977640", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["76832", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["11340", " ", "z", " ", RowBox[List["(", RowBox[List["19451", "+", RowBox[List["10152", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["9240", " ", "z", " ", RowBox[List["(", RowBox[List["1953", "+", RowBox[List["484", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "-", RowBox[List["868140", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "+", RowBox[List["18900", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["15", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "8"]]], "1352914698240"], "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["-", "18"]], " ", RowBox[List["(", RowBox[List["41633079075", "+", RowBox[List["69005718180", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["2165834160", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["11495680", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["10496", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "+", RowBox[List["162", " ", RowBox[List["(", RowBox[List["6643081375", "+", RowBox[List["15922895940", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["2616757920", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["69745536", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["186624", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["630", " ", RowBox[List["(", RowBox[List["635484717", "+", RowBox[List["2102352300", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["542880000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["18400000", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["126", " ", RowBox[List["(", RowBox[List["673078005", "+", RowBox[List["2605542660", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["719147520", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["15059072", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["45360", " ", RowBox[List["(", RowBox[List["274924", "+", RowBox[List["1059399", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["227448", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["945", " ", RowBox[List["(", RowBox[List["1409247", "+", RowBox[List["4562184", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["468512", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "-", RowBox[List["45360", " ", RowBox[List["(", RowBox[List["2264", "+", RowBox[List["4901", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "+", RowBox[List["28350", " ", RowBox[List["(", RowBox[List["193", "+", RowBox[List["180", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "-", RowBox[List["181440", " ", RowBox[List["Cosh", "[", RowBox[List["17", " ", "z"]], "]"]]]], "+", RowBox[List["2835", " ", RowBox[List["Cosh", "[", RowBox[List["19", " ", "z"]], "]"]]]], "+", RowBox[List["8", " ", "z", " ", RowBox[List["(", RowBox[List["321447804615", "+", RowBox[List["35584337880", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["434436912", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["1008000", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["256", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "-", RowBox[List["3888", " ", "z", " ", RowBox[List["(", RowBox[List["695415875", "+", RowBox[List["342903750", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["22302000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["222912", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["900", " ", "z", " ", RowBox[List["(", RowBox[List["1251408501", "+", RowBox[List["959477400", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["92400000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["800000", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["5292", " ", "z", " ", RowBox[List["(", RowBox[List["48678885", "+", RowBox[List["42904400", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["3764768", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["20412", " ", "z", " ", RowBox[List["(", RowBox[List["1876715", "+", RowBox[List["1517400", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["69984", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["41580", " ", "z", " ", RowBox[List["(", RowBox[List["92781", "+", RowBox[List["53240", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["98280", " ", "z", " ", RowBox[List["(", RowBox[List["2619", "+", RowBox[List["676", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "-", RowBox[List["10376100", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "+", RowBox[List["192780", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["17", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "9"]]], "194819716546560"], "+", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["52079055504525", "+", RowBox[List["88003507762800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["2944262714400", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["18304957440", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["25320960", " ", SuperscriptBox["z", "8"]]], "+", RowBox[List["4096", " ", SuperscriptBox["z", "10"]]]]], ")"]], " ", RowBox[List["Cosh", "[", "z", "]"]]]], "-", RowBox[List["1215", " ", RowBox[List["(", RowBox[List["62399823955", "+", RowBox[List["156265593960", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["28639981440", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["988533504", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["5971968", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "+", RowBox[List["225", " ", RowBox[List["(", RowBox[List["130698250767", "+", RowBox[List["467583076800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["143925600000", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["7554400000", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["40000000", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "-", RowBox[List["945", " ", RowBox[List["(", RowBox[List["6994157055", "+", RowBox[List["30686626320", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["11186739200", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["542126592", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "+", RowBox[List["17010", " ", RowBox[List["(", RowBox[List["61983655", "+", RowBox[List["289458900", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["98210880", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["2519424", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "-", RowBox[List["113400", " ", RowBox[List["(", RowBox[List["1109661", "+", RowBox[List["4826206", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["1171280", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "+", RowBox[List["4725", " ", RowBox[List["(", RowBox[List["2394237", "+", RowBox[List["8335080", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["913952", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "-", RowBox[List["680400", " ", RowBox[List["(", RowBox[List["1103", "+", RowBox[List["2475", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "+", RowBox[List["28350", " ", RowBox[List["(", RowBox[List["1231", "+", RowBox[List["1156", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Cosh", "[", RowBox[List["17", " ", "z"]], "]"]]]], "-", RowBox[List["1020600", " ", RowBox[List["Cosh", "[", RowBox[List["19", " ", "z"]], "]"]]]], "+", RowBox[List["14175", " ", RowBox[List["Cosh", "[", RowBox[List["21", " ", "z"]], "]"]]]], "-", RowBox[List["160", " ", "z", " ", RowBox[List["(", RowBox[List["1124016300855", "+", RowBox[List["129145913190", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["1745402148", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["5196384", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["2944", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["131220", " ", "z", " ", RowBox[List["(", RowBox[List["1475445055", "+", RowBox[List["780845800", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["59976224", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["917760", " ", SuperscriptBox["z", "6"]]], "+", RowBox[List["1536", " ", SuperscriptBox["z", "8"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["3", " ", "z"]], "]"]]]], "-", RowBox[List["540000", " ", "z", " ", RowBox[List["(", RowBox[List["158031489", "+", RowBox[List["136270295", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["17170300", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["340000", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["5", " ", "z"]], "]"]]]], "+", RowBox[List["17640", " ", "z", " ", RowBox[List["(", RowBox[List["1197550395", "+", RowBox[List["1268918700", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["174254976", " ", SuperscriptBox["z", "4"]]], "+", RowBox[List["2151296", " ", SuperscriptBox["z", "6"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["7", " ", "z"]], "]"]]]], "-", RowBox[List["918540", " ", "z", " ", RowBox[List["(", RowBox[List["3812645", "+", RowBox[List["4107600", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["443232", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["9", " ", "z"]], "]"]]]], "+", RowBox[List["41580", " ", "z", " ", RowBox[List["(", RowBox[List["9864255", "+", RowBox[List["9026600", " ", SuperscriptBox["z", "2"]]], "+", RowBox[List["468512", " ", SuperscriptBox["z", "4"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["11", " ", "z"]], "]"]]]], "-", RowBox[List["737100", " ", "z", " ", RowBox[List["(", RowBox[List["46115", "+", RowBox[List["28392", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["13", " ", "z"]], "]"]]]], "+", RowBox[List["1701000", " ", "z", " ", RowBox[List["(", RowBox[List["1127", "+", RowBox[List["300", " ", SuperscriptBox["z", "2"]]]]], ")"]], " ", RowBox[List["Sinh", "[", RowBox[List["15", " ", "z"]], "]"]]]], "-", RowBox[List["66509100", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["17", " ", "z"]], "]"]]]], "+", RowBox[List["1077300", " ", "z", " ", RowBox[List["Sinh", "[", RowBox[List["19", " ", "z"]], "]"]]]]]], ")"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List["m", "-", "1"]], ")"]], "10"]]], "15585577323724800"], "+", SuperscriptBox[RowBox[List["O", "[", RowBox[List["m", "-", "1"]], "]"]], "11"]]]]]]]

Date Added to functions.wolfram.com (modification date)

2007-05-02