\(L(z,\theta)=\theta^4-5\ z(5\theta+1)(5\theta+2)(5\theta+3)(5\theta+4)\)

\(L(z,\theta)=\theta^4-2^{4}\ 5\ z(10\theta+1)(10\theta+3)(10\theta+7)(10\theta+9)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-3^{2}\ z(3\theta+1)^2(3\theta+2)^2\)

\(L(z,\theta)=\theta^4-2^{2}\ 3\ z(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=\theta^4-2^{4}\ z(4\theta+1)(2\theta+1)^2(4\theta+3)\)

\(L(z,\theta)=\theta^4-2^{4}\ z(8\theta+1)(8\theta+3)(8\theta+5)(8\theta+7)\)

\(L(z,\theta)=\theta^4-2^{4}\ z(4\theta+1)^2(4\theta+3)^2\)

\(L(z,\theta)=\theta^4-2^{2}\ 3\ z(4\theta+1)(3\theta+1)(3\theta+2)(4\theta+3)\)

\(L(z,\theta)=\theta^4-2^{4}\ 3\ z(6\theta+1)(4\theta+1)(4\theta+3)(6\theta+5)\)

\(L(z,\theta)=\theta^4-2^{4}\ 3^{2}\ z(6\theta+1)^2(6\theta+5)^2\)

\(L(z,\theta)=\theta^4-2^{4}\ 3\ z(6\theta+1)(2\theta+1)^2(6\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(2\theta+1)^2(7\theta^2+7\theta+2)-2^{7}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-3\ z(3\theta+1)(3\theta+2)(7\theta^2+7\theta+2)-2^{3}\ 3^{2}\ z^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(2\theta+1)^2(11\theta^2+11\theta+3)-2^{4}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-3\ z(3\theta+1)(3\theta+2)(11\theta^2+11\theta+3)-3^{2}\ z^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(4\theta+1)(4\theta+3)(11\theta^2+11\theta+3)-2^{4}\ z^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(2\theta+1)^2(10\theta^2+10\theta+3)+2^{4}\ 3^{2}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-3\ z(3\theta+1)(3\theta+2)(10\theta^2+10\theta+3)+3^{4}\ z^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(4\theta+1)(4\theta+3)(10\theta^2+10\theta+3)+2^{4}\ 3^{2}\ z^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)

\(L(z,\theta)=\theta^4-2^{4}\ z(2\theta+1)^2(3\theta^2+3\theta+1)+2^{9}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-2^{4}\ z(4\theta+1)(4\theta+3)(3\theta^2+3\theta+1)+2^{9}\ z^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)

\(L(z,\theta)=\theta^4-2^{4}\ z(2\theta+1)^2(8\theta^2+8\theta+3)+2^{12}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-2^{2}\ 3\ z(3\theta+1)(3\theta+2)(8\theta^2+8\theta+3)+2^{8}\ 3^{2}\ z^{2}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ 3\ z(2\theta+1)^2(3\theta^2+3\theta+1)+2^{4}\ 3^{3}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-2^{2}\ z(2\theta+1)^2(17\theta^2+17\theta+6)+2^{7}\ 3^{2}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-2^{2}\ z(4\theta+1)(4\theta+3)(17\theta^2+17\theta+6)+2^{7}\ 3^{2}\ z^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)

\(L(z,\theta)=\theta^4-2^{2}\ 3\ z(2\theta+1)^2(18\theta^2+18\theta+7)+2^{4}\ 3^{6}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-2^{4}\ z(2\theta+1)^2(32\theta^2+32\theta+13)+2^{16}\ z^{2}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-2^{4}\ z(4\theta+1)(4\theta+3)(32\theta^2+32\theta+13)+2^{16}\ z^{2}(4\theta+1)(4\theta+3)(4\theta+5)(4\theta+7)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(2\theta+1)^2(5\theta^2+5\theta+2)+2^{8}\ z^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2\ z(2\theta+1)^2(17\theta^2+17\theta+5)+2^{2}\ z^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2\ z(2\theta+1)^2(7\theta^2+7\theta+3)+2^{2}\ 3^{4}\ z^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2^{3}\ z(2\theta+1)^2(3\theta^2+3\theta+1)+2^{6}\ z^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2\ 3\ z(2\theta+1)^2(3\theta^2+3\theta+1)-2^{2}\ 3^{3}\ z^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2\ z(2\theta+1)^2(11\theta^2+11\theta+5)+2^{2}\ 5^{3}\ z^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2\ 3\ z(2\theta+1)^2(9\theta^2+9\theta+5)+2^{2}\ 3^{6}\ z^{2}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(2\theta+1)^2(3\theta^2+3\theta+1)-2^{4}\ z^{2}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)

\(L(z,\theta)=\theta^4-z\left(65\theta^4+130\theta^3+105\theta^2+40\theta+6\right)+2^{2}\ z^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ z\left(32\theta^4+64\theta^3+63\theta^2+31\theta+6\right)+2^{8}\ z^{2}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=\theta^4-z\left(43\theta^4+86\theta^3+77\theta^2+34\theta+6\right)+2^{2}\ 3\ z^{2}(\theta+1)^2(6\theta+5)(6\theta+7)\)

\(L(z,\theta)=\theta^4+2^{2}\ z(2\theta+1)^2(7\theta^2+7\theta+3)+2^{4}\ 3\ z^{2}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)

\(L(z,\theta)=\theta^4-z\left(59\theta^4+118\theta^3+105\theta^2+46\theta+8\right)+2^{5}\ 3\ z^{2}(\theta+1)^2(3\theta+2)(3\theta+4)\)

\(L(z,\theta)=\theta^4-2^{5}\ z(2\theta^2+2\theta+1)(2\theta+1)^2+2^{8}\ z^{2}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)

\(L(z,\theta)=\theta^4-z\left(35\theta^4+70\theta^3+63\theta^2+28\theta+5\right)+z^{2}(\theta+1)^2(259\theta^2+518\theta+285)-3^{2}\ 5^{2}\ z^{3}(\theta+1)^2(\theta+2)^2\)

\(L(z,\theta)=\theta^4+2^{2}\ z\left(176\theta^4+352\theta^3+289\theta^2+113\theta+18\right)+2^{11}\ z^{2}\left(80\theta^4+320\theta^3+449\theta^2+258\theta+54\right)+2^{16}\ 3\ z^{3}(2\theta+5)(2\theta+1)(4\theta+3)(4\theta+9)\)

\(L(z,\theta)=\theta^4+3^{2}\ z\left(33\theta^4+66\theta^3+57\theta^2+24\theta+4\right)+2^{3}\ 3^{6}\ z^{2}(\theta+1)^2(5\theta^2+10\theta+4)+2^{2}\ 3^{10}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4-2\ z\left(102\theta^4+204\theta^3+155\theta^2+53\theta+7\right)+2^{2}\ z^{2}(\theta+1)^2(396\theta^2+792\theta+311)-2^{4}\ 7^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4+z\left(15\theta^4+30\theta^3+35\theta^2+20\theta+4\right)-2^{5}\ z^{2}(\theta+1)^2(66\theta^2+132\theta+53)-2^{8}\ 7^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4-z\left(113\theta^4+226\theta^3+173\theta^2+60\theta+8\right)-2^{3}\ z^{2}(\theta+1)^2(119\theta^2+238\theta+92)-2^{2}\ 11^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4-2\ z\left(86\theta^4+172\theta^3+143\theta^2+57\theta+9\right)+2^{2}\ 3^{2}\ z^{2}(\theta+1)^2(236\theta^2+472\theta+187)-2^{4}\ 3^{4}\ 5^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4-z\left(865\theta^4+1730\theta^3+1501\theta^2+636\theta+108\right)+2^{5}\ 3^{2}\ z^{2}(\theta+1)^2(866\theta^2+1732\theta+709)-2^{8}\ 3^{4}\ 17^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4+2^{3}\ z\left(21\theta^4+42\theta^3+30\theta^2+9\theta+1\right)-2^{6}\ z^{2}(\theta+1)^2(96\theta^2+192\theta+77)+2^{9}\ 5^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4-2\ z\left(422\theta^4+844\theta^3+751\theta^2+329\theta+57\right)+2^{2}\ 3^{4}\ z^{2}(\theta+1)^2(716\theta^2+1432\theta+579)-2^{4}\ 3^{8}\ 7^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ z\left(228\theta^4+456\theta^3+385\theta^2+157\theta+26\right)+2^{11}\ z^{2}(\theta+1)^2(132\theta^2+264\theta+109)-2^{18}\ 5^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4-z\left(561\theta^4+1122\theta^3+975\theta^2+414\theta+70\right)+2^{2}\ 7^{2}\ z^{2}(\theta+1)^2(534\theta^2+1068\theta+433)-2^{2}\ 7^{4}\ 13^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4+2\ z(2\theta+1)^2(7\theta^2+7\theta+3)+2^{2}\ z^{2}(2\theta+1)(2\theta+3)(29\theta^2+58\theta+33)+2^{4}\ 3\ 5\ z^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)\)

\(L(z,\theta)=\theta^4+2\ z\left(132\theta^4+264\theta^3+293\theta^2+161\theta+35\right)+2^{2}\ 5^{2}\ z^{2}(\theta+1)^2(228\theta^2+456\theta+335)+2^{6}\ 5^{4}\ z^{3}(\theta+1)(\theta+2)(4\theta+5)(4\theta+7)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(2\theta+1)^2(5\theta^2+5\theta+2)+2^{5}\ z^{2}(2\theta+1)(2\theta+3)(7\theta^2+14\theta+8)-2^{4}\ 11\ z^{3}(2\theta+1)(2\theta+3)^2(2\theta+5)\)

\(L(z,\theta)=\theta^4+2^{2}\ z\left(36\theta^4+72\theta^3+85\theta^2+49\theta+11\right)+2^{4}\ z^{2}(8\theta^2+16\theta+11)(48\theta^2+96\theta+49)+2^{8}\ z^{3}(4\theta+7)^2(4\theta+5)^2\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(25\theta^4+50\theta^3+43\theta^2+18\theta+3\right)+2^{11}\ z^{2}(26\theta^2+52\theta+21)(\theta+1)^2-2^{16}\ 3^{2}\ z^{3}(\theta+1)(\theta+2)(2\theta+1)(2\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ 3\ z\left(48\theta^4+96\theta^3+115\theta^2+67\theta+15\right)+2^{4}\ 3^{2}\ z^{2}\left(480\theta^4+1920\theta^3+2580\theta^2+1320\theta+151\right)+2^{8}\ 3^{4}\ z^{3}(48\theta^2+144\theta+145)(2\theta+3)^2+2^{14}\ 3^{6}\ z^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)

\(L(z,\theta)=\theta^4-2^{2}\ z\left(176\theta^4+352\theta^3+427\theta^2+251\theta+57\right)+2^{4}\ z^{2}\left(11744\theta^4+46976\theta^3+84756\theta^2+75560\theta+27275\right)-2^{8}\ 5^{3}\ z^{3}(176\theta^2+528\theta+537)(2\theta+3)^2+2^{14}\ 5^{6}\ z^{4}(\theta+2)^2(2\theta+3)(2\theta+5)\)

\(L(z,\theta)=3^{2}\ \theta^4-2^{2}\ 3\ z\left(208\theta^4+224\theta^3+163\theta^2+51\theta+6\right)+2^{9}\ z^{2}\left(32\theta^4-928\theta^3-1606\theta^2-837\theta-141\right)+2^{16}\ z^{3}\left(144\theta^4+576\theta^3+467\theta^2+144\theta+15\right)-2^{24}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=13^{2}\ \theta^4-13\ z\left(4569\theta^4+9042\theta^3+6679\theta^2+2158\theta+260\right)+2^{4}\ z^{2}\left(6386\theta^4-1774\theta^3-17898\theta^2-11596\theta-2119\right)+2^{8}\ z^{3}\left(67\theta^4+1248\theta^3+1091\theta^2+312\theta+26\right)-2^{12}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(23\theta^4+14\theta^3+13\theta^2+6\theta+1\right)+2^{11}\ z^{2}\theta(21\theta^3+24\theta^2+18\theta+4)-2^{16}\ z^{3}(2\theta+1)(10\theta^3+7\theta^2-5\theta-4)-2^{23}\ z^{4}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=7^{2}\ \theta^4-2\ 3\ 7\ z\left(1272\theta^4+2508\theta^3+1779\theta^2+525\theta+56\right)+2^{2}\ 3\ z^{2}\left(43704\theta^4+38088\theta^3-25757\theta^2-20608\theta-3360\right)-2^{4}\ 3^{3}\ z^{3}\left(2736\theta^4-1512\theta^3-1672\theta^2-357\theta-14\right)-2^{6}\ 3^{5}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(1072\theta^4-17824\theta^3-10888\theta^2-1976\theta-145\right)-2^{17}\ z^{2}\left(51088\theta^4+116368\theta^3-45264\theta^2-14228\theta-1397\right)+2^{28}\ 13\ z^{3}\left(73104\theta^4+1536\theta^3-488\theta^2+384\theta+97\right)-2^{44}\ 13^{2}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4+2^{2}\ 5\ z\left(688\theta^4+1352\theta^3+981\theta^2+305\theta+35\right)+2^{4}\ z^{2}\left(5856\theta^4+7008\theta^3+96\theta^2-1260\theta-265\right)+2^{10}\ z^{3}\left(176\theta^4+120\theta^3+69\theta^2+30\theta+5\right)+2^{12}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(704\theta^4+928\theta^3+612\theta^2+148\theta+13\right)+2^{12}\ z^{2}\left(5856\theta^4+4704\theta^3-1632\theta^2-972\theta-121\right)+2^{20}\ 5\ z^{3}\left(2752\theta^4+96\theta^3-60\theta^2+24\theta+7\right)+2^{28}\ 5^{2}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4-5\ z\left(407\theta^4+1198\theta^3+909\theta^2+310\theta+40\right)-2^{7}\ z^{2}\left(2103\theta^4+6999\theta^3+8358\theta^2+4050\theta+680\right)-2^{12}\ z^{3}\left(1387\theta^4+3840\theta^3+3081\theta^2+960\theta+100\right)-2^{21}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(22192\theta^4-17056\theta^3-9576\theta^2-1048\theta-49\right)+2^{20}\ z^{2}\left(33648\theta^4-44688\theta^3+16224\theta^2+1764\theta+17\right)+2^{34}\ 5\ z^{3}\left(6512\theta^4-6144\theta^3-4440\theta^2-1536\theta-193\right)-2^{55}\ 5^{2}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4-5\ z\left(2617\theta^4+4658\theta^3+3379\theta^2+1050\theta+120\right)+2^{6}\ 3\ z^{2}\left(673\theta^4-4871\theta^3-10282\theta^2-5410\theta-860\right)+2^{10}\ 3^{2}\ z^{3}\left(955\theta^4+4320\theta^3+3477\theta^2+1020\theta+100\right)-2^{17}\ 3^{3}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(46\theta^4+128\theta^3+91\theta^2+27\theta+3\right)-2^{9}\ 3\ z^{2}\left(74\theta^4-16\theta^3-231\theta^2-127\theta-20\right)+2^{14}\ 3^{2}\ z^{3}\left(14\theta^4+216\theta^3+175\theta^2+51\theta+5\right)+2^{19}\ 3^{3}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(152\theta^4+160\theta^3+110\theta^2+30\theta+3\right)+2^{10}\ 3\ z^{2}\left(428\theta^4+176\theta^3-299\theta^2-170\theta-25\right)-2^{17}\ 3^{2}\ z^{3}\left(136\theta^4-216\theta^3-180\theta^2-51\theta-5\right)-2^{24}\ 3^{3}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(2608\theta^4-544\theta^3-200\theta^2+72\theta+15\right)+2^{15}\ 3\ z^{2}\left(6128\theta^4-208\theta^3+2328\theta^2+452\theta+25\right)-2^{24}\ 3^{2}\ 5\ z^{3}\left(4592\theta^4+3456\theta^3+2632\theta^2+816\theta+95\right)+2^{38}\ 3^{3}\ 5^{2}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=\theta^4+2^{5}\ z\left(24\theta^4+42\theta^3+30\theta^2+9\theta+1\right)+2^{8}\ z^{2}\left(164\theta^4+104\theta^3-144\theta^2-100\theta-17\right)+2^{14}\ z^{3}\left(28\theta^4-48\theta^3-44\theta^2-12\theta-1\right)-2^{18}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(112\theta^4+416\theta^3+280\theta^2+72\theta+7\right)-2^{12}\ z^{2}\left(656\theta^4+896\theta^3-216\theta^2-160\theta-23\right)-2^{23}\ z^{3}\left(96\theta^4+24\theta^3+12\theta^2+6\theta+1\right)-2^{30}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(3392\theta^4-9344\theta^3-5764\theta^2-1092\theta-93\right)-2^{17}\ 3\ z^{2}\left(1952\theta^4+15200\theta^3-7758\theta^2-2593\theta-323\right)-2^{26}\ 3^{2}\ 7\ z^{3}\left(11584\theta^4-6912\theta^3-5364\theta^2-1632\theta-167\right)+2^{42}\ 3^{3}\ 7^{2}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=\theta^4+2^{4}\ 3\ z\left(96\theta^4-96\theta^3-60\theta^2-12\theta-1\right)+2^{13}\ 3\ z^{2}\left(288\theta^4-144\theta^3+526\theta^2+206\theta+27\right)+2^{20}\ 3^{3}\ z^{3}\left(288\theta^4+864\theta^3+652\theta^2+204\theta+23\right)+2^{30}\ 3^{5}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(576\theta^4-1152\theta^3-724\theta^2-148\theta-13\right)-2^{17}\ z^{2}\left(32\theta^4+992\theta^3-166\theta^2-57\theta-6\right)-2^{26}\ 3\ z^{3}\left(832\theta^4+768\theta^3+556\theta^2+192\theta+25\right)-2^{40}\ 3^{2}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-3\ z\left(279\theta^4+882\theta^3+641\theta^2+200\theta+24\right)-2\ 3^{5}\ z^{2}\left(72\theta^4-1710\theta^3-3665\theta^2-1864\theta-296\right)+2^{2}\ 3^{9}\ z^{3}\left(909\theta^4+3888\theta^3+3082\theta^2+918\theta+92\right)+2^{4}\ 3^{15}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=5^{2}\ \theta^4-2^{2}\ 5\ z\left(1348\theta^4+752\theta^3+521\theta^2+145\theta+15\right)+2^{4}\ 3^{4}\ z^{2}\left(5696\theta^4-1792\theta^3-7304\theta^2-3740\theta-585\right)-2^{10}\ 3^{8}\ z^{3}\left(20\theta^4-360\theta^3-289\theta^2-90\theta-10\right)-2^{12}\ 3^{13}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{2}\ z\left(20\theta^4+400\theta^3+281\theta^2+81\theta+9\right)-2^{4}\ 3\ z^{2}\left(5696\theta^4+13184\theta^3+3928\theta^2+628\theta+39\right)+2^{10}\ 3^{2}\ 5\ z^{3}\left(1348\theta^4+1944\theta^3+1415\theta^2+486\theta+63\right)-2^{12}\ 3^{7}\ 5^{2}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(400\theta^4+2720\theta^3+1752\theta^2+392\theta+33\right)-2^{15}\ z^{2}\left(4272\theta^4+6288\theta^3-3184\theta^2-1484\theta-177\right)-2^{24}\ 5\ z^{3}\left(4688\theta^4-1536\theta^3-1384\theta^2-336\theta-27\right)+2^{36}\ 5^{2}\ z^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(18800\theta^4-14624\theta^3-8184\theta^2-872\theta-33\right)+2^{18}\ z^{2}\left(101744\theta^4-107920\theta^3+74968\theta^2+15100\theta+1191\right)-2^{30}\ 17\ z^{3}\left(40048\theta^4+49152\theta^3+35848\theta^2+10752\theta+1143\right)+2^{50}\ 17^{2}\ z^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(816\theta^4-1440\theta^3-904\theta^2-184\theta-17\right)+2^{18}\ z^{2}\left(80\theta^4-592\theta^3+432\theta^2+164\theta+23\right)+2^{30}\ z^{3}\left(80\theta^4-384\theta^3-296\theta^2-96\theta-11\right)+2^{45}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(5\theta^4+34\theta^3+25\theta^2+8\theta+1\right)+2^{11}\ z^{2}\left(5\theta^4+47\theta^3+90\theta^2+47\theta+8\right)+2^{16}\ z^{3}\left(51\theta^4+192\theta^3+155\theta^2+48\theta+5\right)+2^{23}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{4}\ 3\ z\left(81552\theta^4-94944\theta^3-53688\theta^2-6216\theta-379\right)+2^{20}\ 3\ z^{2}\left(1091952\theta^4-2917008\theta^3+1388032\theta^2+225284\theta+19545\right)-2^{34}\ 3^{3}\ 7\ z^{3}\left(207504\theta^4-221184\theta^3-157480\theta^2-52224\theta-5855\right)+2^{59}\ 3^{5}\ 7^{2}\ z^{4}(3\theta+1)(2\theta+1)^2(3\theta+2)\)

\(L(z,\theta)=5^{2}\ \theta^4-3\ 5\ z\left(3483\theta^4+6102\theta^3+4241\theta^2+1190\theta+120\right)+2^{5}\ 3^{2}\ z^{2}\left(31428\theta^4+35559\theta^3+243\theta^2-4320\theta-740\right)-2^{8}\ 3^{5}\ z^{3}\left(7371\theta^4+4860\theta^3+2997\theta^2+1080\theta+140\right)+2^{13}\ 3^{8}\ z^{4}(3\theta+1)^2(3\theta+2)^2\)

\(L(z,\theta)=\theta^4-z\left(289\theta^4+722\theta^3+545\theta^2+184\theta+24\right)+2^{3}\ 3\ z^{2}\left(214\theta^4+2734\theta^3+4861\theta^2+2640\theta+468\right)+2^{6}\ 3^{2}\ z^{3}\left(1391\theta^4+5184\theta^3+4252\theta^2+1296\theta+126\right)+2^{10}\ 3^{6}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(22256\theta^4-38432\theta^3-23000\theta^2-3784\theta-321\right)+2^{18}\ 3^{3}\ z^{2}\left(1712\theta^4-18448\theta^3+8648\theta^2+2220\theta+279\right)-2^{30}\ 3^{6}\ z^{3}\left(4624\theta^4-2304\theta^3-1672\theta^2-576\theta-63\right)+2^{46}\ 3^{10}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{2}\ z\left(52\theta^4+40\theta^3+37\theta^2+17\theta+3\right)+2^{4}\ z^{2}\left(960\theta^4+1536\theta^3+1512\theta^2+688\theta+123\right)-2^{8}\ z^{3}\left(1792\theta^4+4608\theta^3+5184\theta^2+2816\theta+597\right)+2^{14}\ z^{4}(4\theta+5)^2(4\theta+3)^2\)

\(L(z,\theta)=\theta^4-2^{2}\ z\left(80\theta^4+88\theta^3+67\theta^2+23\theta+3\right)+2^{4}\ 3\ z^{2}\left(928\theta^4+2080\theta^3+2176\theta^2+972\theta+153\right)-2^{10}\ 3^{2}\ z^{3}\left(272\theta^4+648\theta^3+511\theta^2+162\theta+18\right)+2^{12}\ 3^{6}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(1088\theta^4-416\theta^3-212\theta^2-4\theta+3\right)+2^{12}\ 3^{3}\ z^{2}\left(928\theta^4-224\theta^3+448\theta^2+108\theta+9\right)-2^{20}\ 3^{6}\ z^{3}\left(320\theta^4+288\theta^3+220\theta^2+72\theta+9\right)+2^{28}\ 3^{10}\ z^{4}\left((2\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+3^{2}\ z\left(231\theta^4+318\theta^3+231\theta^2+72\theta+8\right)+2^{3}\ 3^{5}\ z^{2}\left(774\theta^4+1854\theta^3+1869\theta^2+768\theta+100\right)+2^{6}\ 3^{8}\ z^{3}\left(951\theta^4+2304\theta^3+1740\theta^2+504\theta+50\right)+2^{10}\ 3^{12}\ z^{4}(4\theta+1)(2\theta+1)^2(4\theta+3)\)

\(L(z,\theta)=\theta^4-z\left(81\theta^4+162\theta^3+161\theta^2+80\theta+16\right)+2^{3}\ z^{2}\left(303\theta^4+1212\theta^3+1952\theta^2+1480\theta+440\right)-2^{6}\ z^{3}(124\theta^2+372\theta+263)(2\theta+3)^2+2^{9}\ 3\ 5^{2}\ z^{4}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)

\(L(z,\theta)=5^{2}\ \theta^4-3\ 5\ z\left(51\theta^4+84\theta^3+72\theta^2+30\theta+5\right)+2\ 3\ z^{2}\left(531\theta^4+828\theta^3+541\theta^2+155\theta+15\right)-2\ 3^{3}\ z^{3}\left(423\theta^4+2160\theta^3+4399\theta^2+3795\theta+1170\right)+3^{5}\ z^{4}\left(279\theta^4+1368\theta^3+2270\theta^2+1586\theta+402\right)-3^{10}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=23^{2}\ \theta^4-23\ z\left(921\theta^4+2046\theta^3+1644\theta^2+621\theta+92\right)-z^{2}\left(380851\theta^4+1328584\theta^3+1772673\theta^2+1033528\theta+221168\right)-2\ z^{3}\left(475861\theta^4+1310172\theta^3+1028791\theta^2+208932\theta-27232\right)-2^{2}\ 17\ z^{4}\left(8873\theta^4+14020\theta^3+5139\theta^2-1664\theta-976\right)+2^{3}\ 3\ 17^{2}\ z^{5}(\theta+1)^2(3\theta+2)(3\theta+4)\)

\(L(z,\theta)=5^{2}\ \theta^4-2^{2}\ 5\ z\left(36\theta^4+84\theta^3+72\theta^2+30\theta+5\right)-2^{4}\ z^{2}\left(181\theta^4+268\theta^3+71\theta^2-70\theta-35\right)+2^{8}\ z^{3}(\theta+1)(37\theta^3+248\theta^2+375\theta+165)+2^{10}\ z^{4}\left(39\theta^4+198\theta^3+331\theta^2+232\theta+59\right)+2^{15}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=7^{2}\ \theta^4-7\ z\left(155\theta^4+286\theta^3+234\theta^2+91\theta+14\right)-z^{2}\left(16105\theta^4+68044\theta^3+102261\theta^2+66094\theta+15736\right)+2^{3}\ z^{3}\left(2625\theta^4+8589\theta^3+9071\theta^2+3759\theta+476\right)-2^{4}\ z^{4}\left(465\theta^4+1266\theta^3+1439\theta^2+806\theta+184\right)+2^{9}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-2^{2}\ 3\ z\left(64\theta^4+80\theta^3+73\theta^2+33\theta+6\right)+2^{7}\ z^{2}\left(194\theta^4+440\theta^3+527\theta^2+315\theta+75\right)-2^{12}\ z^{3}\left(94\theta^4+288\theta^3+397\theta^2+261\theta+66\right)+2^{17}\ z^{4}\left(22\theta^4+80\theta^3+117\theta^2+77\theta+19\right)-2^{23}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-3\ z\left(173\theta^4+340\theta^3+272\theta^2+102\theta+15\right)-2\ z^{2}\left(1129\theta^4+5032\theta^3+7597\theta^2+4773\theta+1083\right)+2\ z^{3}\left(843\theta^4+2628\theta^3+2353\theta^2+675\theta+6\right)-z^{4}\left(295\theta^4+608\theta^3+478\theta^2+174\theta+26\right)+z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(22\theta^4+8\theta^3+9\theta^2+5\theta+1\right)+2^{9}\ z^{2}\left(94\theta^4+88\theta^3+97\theta^2+45\theta+8\right)-2^{14}\ z^{3}\left(194\theta^4+336\theta^3+371\theta^2+195\theta+41\right)+2^{19}\ 3\ z^{4}\left(64\theta^4+176\theta^3+217\theta^2+129\theta+30\right)-2^{27}\ 3^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=7^{2}\ \theta^4-2\ 7\ z\left(257\theta^4+520\theta^3+435\theta^2+175\theta+28\right)+2^{2}\ z^{2}\left(13497\theta^4+55536\theta^3+81222\theta^2+50337\theta+11396\right)-2^{3}\ z^{3}\left(17201\theta^4+114996\theta^3+248466\theta^2+202629\theta+55412\right)-2^{4}\ z^{4}\left(5762\theta^4+29668\theta^3+48150\theta^2+31741\theta+7412\right)-2^{5}\ 3\ z^{5}(4\theta+5)(3\theta+2)(3\theta+4)(4\theta+3)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(39\theta^4-42\theta^3-29\theta^2-8\theta-1\right)+2^{11}\ z^{2}\theta(37\theta^3-137\theta^2-10\theta-1)-2^{16}\ z^{3}\left(181\theta^4+456\theta^3+353\theta^2+132\theta+19\right)-2^{23}\ 5\ z^{4}\left(36\theta^4+60\theta^3+36\theta^2+6\theta-1\right)+2^{30}\ 5^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(88\theta^4+32\theta^3+33\theta^2+17\theta+3\right)+2^{9}\ z^{2}\left(1504\theta^4+1408\theta^3+1436\theta^2+596\theta+93\right)-2^{18}\ z^{3}\left(776\theta^4+1344\theta^3+1381\theta^2+651\theta+117\right)+2^{23}\ 3\ z^{4}(2\theta+1)(512\theta^3+1152\theta^2+1054\theta+339)-2^{31}\ 3^{2}\ z^{5}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)

\(L(z,\theta)=\theta^4-2^{5}\ z\left(10\theta^4+26\theta^3+20\theta^2+7\theta+1\right)+2^{8}\ z^{2}\left(52\theta^4+472\theta^3+832\theta^2+492\theta+103\right)+2^{16}\ z^{3}\left(14\theta^4+12\theta^3-96\theta^2-105\theta-29\right)-2^{18}\ z^{4}(2\theta+1)(56\theta^3+468\theta^2+646\theta+249)-2^{24}\ z^{5}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)

\(L(z,\theta)=3^{2}\ \theta^4+2^{2}\ 3\ z\left(256\theta^4+176\theta^3+133\theta^2+45\theta+6\right)+2^{7}\ z^{2}\left(2588\theta^4+1952\theta^3+584\theta^2+15\theta-15\right)+2^{12}\ z^{3}\left(3183\theta^4+2466\theta^3+1801\theta^2+711\theta+111\right)+2^{17}\ 7\ z^{4}\left(134\theta^4+250\theta^3+180\theta^2+55\theta+5\right)-2^{22}\ 7^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z\left(465\theta^4+594\theta^3+431\theta^2+134\theta+16\right)+2^{4}\ z^{2}\left(2625\theta^4+1911\theta^3-946\theta^2-884\theta-176\right)-2^{6}\ z^{3}\left(16105\theta^4-3624\theta^3-5241\theta^2-1284\theta-36\right)-2^{11}\ 7\ z^{4}\left(155\theta^4+334\theta^3+306\theta^2+139\theta+26\right)+2^{16}\ 7^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-2^{2}\ 3\ z\left(256\theta^4+320\theta^3+271\theta^2+111\theta+18\right)+2^{7}\ z^{2}\left(3104\theta^4+7040\theta^3+8012\theta^2+4452\theta+927\right)-2^{15}\ z^{3}\left(752\theta^4+2304\theta^3+3042\theta^2+1854\theta+405\right)+2^{21}\ z^{4}(2\theta+1)(176\theta^3+552\theta^2+622\theta+231)-2^{31}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=61^{2}\ \theta^4-61\ z\left(3029\theta^4+5572\theta^3+4677\theta^2+1891\theta+305\right)+z^{2}\left(1215215\theta^4+3428132\theta^3+4267228\theta^2+2572675\theta+611586\right)-3^{4}\ z^{3}\left(39370\theta^4+140178\theta^3+206807\theta^2+142191\theta+37332\right)+3^{8}\ z^{4}\left(566\theta^4+2230\theta^3+3356\theta^2+2241\theta+558\right)-3^{13}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ 3\ z\left(198\theta^4+72\theta^3+69\theta^2+33\theta+5\right)+2^{9}\ 3^{2}\ z^{2}\left(7614\theta^4+7128\theta^3+6813\theta^2+2529\theta+340\right)-2^{14}\ 3^{5}\ z^{3}\left(15714\theta^4+27216\theta^3+26343\theta^2+11151\theta+1685\right)+2^{19}\ 3^{9}\ z^{4}(3\theta+1)(3\theta+2)(576\theta^2+1008\theta+605)-2^{27}\ 3^{13}\ z^{5}(3\theta+1)(3\theta+2)(3\theta+4)(3\theta+5)\)

\(L(z,\theta)=19^{2}\ \theta^4-19\ z\left(700\theta^4+1238\theta^3+999\theta^2+380\theta+57\right)-z^{2}\left(64745\theta^4+368006\theta^3+609133\theta^2+412756\theta+102258\right)+3^{3}\ z^{3}\left(6397\theta^4+12198\theta^3-11923\theta^2-27360\theta-11286\right)+3^{6}\ z^{4}\left(64\theta^4+1154\theta^3+2425\theta^2+1848\theta+486\right)-3^{11}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z\left(64\theta^4-898\theta^3-653\theta^2-204\theta-27\right)-3^{2}\ z^{2}\left(6397\theta^4+13390\theta^3-10135\theta^2-7492\theta-1650\right)+3^{4}\ z^{3}\left(64745\theta^4-109026\theta^3-106415\theta^2-39528\theta-4626\right)+3^{9}\ 19\ z^{4}\left(700\theta^4+1562\theta^3+1485\theta^2+704\theta+138\right)-3^{14}\ 19^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=7^{2}\ \theta^4-7\ z\left(1135\theta^4+2204\theta^3+1683\theta^2+581\theta+77\right)+z^{2}\left(28723\theta^4+40708\theta^3+13260\theta^2-1337\theta-896\right)-z^{3}\left(32126\theta^4+38514\theta^3+26511\theta^2+10731\theta+1806\right)+7\ 11\ z^{4}\left(130\theta^4+254\theta^3+192\theta^2+65\theta+8\right)+11^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=17^{2}\ \theta^4-17\ z\left(1465\theta^4+2768\theta^3+2200\theta^2+816\theta+119\right)+2\ z^{2}\left(62015\theta^4+131582\theta^3+125017\theta^2+65926\theta+15300\right)-2\ 3^{3}\ z^{3}\left(4325\theta^4+10914\theta^3+12803\theta^2+7446\theta+1700\right)+3^{6}\ z^{4}\left(265\theta^4+836\theta^3+1118\theta^2+700\theta+168\right)-3^{10}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=29^{2}\ \theta^4-29\ z\left(3026\theta^4+5848\theta^3+4577\theta^2+1653\theta+232\right)+z^{2}\left(258647\theta^4+424220\theta^3+239159\theta^2+57768\theta+5568\right)-z^{3}\left(272743\theta^4+532614\theta^3+581647\theta^2+336864\theta+76560\right)+2^{2}\ 17\ z^{4}\left(1922\theta^4+6193\theta^3+8121\theta^2+4894\theta+1112\right)-2^{2}\ 3\ 17^{2}\ z^{5}(\theta+1)^2(3\theta+2)(3\theta+4)\)

\(L(z,\theta)=11^{2}\ \theta^4+7\ 11\ z\left(130\theta^4+266\theta^3+210\theta^2+77\theta+11\right)-z^{2}\left(32126\theta^4+89990\theta^3+103725\theta^2+55253\theta+11198\right)+z^{3}\left(28723\theta^4+74184\theta^3+63474\theta^2+20625\theta+1716\right)-7\ z^{4}\left(1135\theta^4+2336\theta^3+1881\theta^2+713\theta+110\right)+7^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z\left(265\theta^4+224\theta^3+200\theta^2+88\theta+15\right)+2\ 3\ z^{2}\left(4325\theta^4+6386\theta^3+6011\theta^2+2718\theta+468\right)-2\ 3^{2}\ z^{3}\left(62015\theta^4+116478\theta^3+102361\theta^2+37422\theta+4824\right)+3^{6}\ 17\ z^{4}\left(1465\theta^4+3092\theta^3+2686\theta^2+1140\theta+200\right)-3^{10}\ 17^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=19^{2}\ \theta^4+19\ z\left(1370\theta^4+2620\theta^3+2089\theta^2+779\theta+114\right)+z^{2}\left(39521\theta^4-3916\theta^3-106779\theta^2-95266\theta-25384\right)-2^{3}\ z^{3}\left(1649\theta^4+19779\theta^3+29667\theta^2+17613\theta+3876\right)-2^{4}\ 5\ z^{4}(\theta+1)(499\theta^3+1411\theta^2+1378\theta+456)-2^{9}\ 5^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4+5\ z\theta(499\theta^3+86\theta^2+53\theta+10)+2^{4}\ z^{2}\left(1649\theta^4-13183\theta^3-19776\theta^2-11020\theta-2200\right)-2^{6}\ z^{3}\left(39521\theta^4+162000\theta^3+142095\theta^2+51540\theta+6540\right)-2^{11}\ 19\ z^{4}\left(1370\theta^4+2860\theta^3+2449\theta^2+1019\theta+174\right)-2^{16}\ 19^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=17^{2}\ \theta^4-2\ 17\ z\left(1902\theta^4+3708\theta^3+2789\theta^2+935\theta+119\right)+2^{2}\ z^{2}\left(62408\theta^4+68576\theta^3-10029\theta^2-24106\theta-5661\right)-2^{2}\ z^{3}\left(66180\theta^4+33048\theta^3+20785\theta^2+17799\theta+4794\right)+2^{7}\ z^{4}(2\theta+1)(196\theta^3+498\theta^2+487\theta+169)-2^{12}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=7^{2}\ \theta^4+2\ 7\ z\left(134\theta^4+286\theta^3+234\theta^2+91\theta+14\right)-2^{2}\ z^{2}\left(3183\theta^4+10266\theta^3+13501\theta^2+8225\theta+1918\right)+2^{3}\ z^{3}\left(2588\theta^4+8400\theta^3+10256\theta^2+5649\theta+1190\right)-2^{4}\ 3\ z^{4}\left(256\theta^4+848\theta^3+1141\theta^2+717\theta+174\right)+2^{8}\ 3^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-2^{2}\ 3\ z\left(268\theta^4+632\theta^3+463\theta^2+147\theta+18\right)-2^{7}\ z^{2}\left(448\theta^4-1616\theta^3-4280\theta^2-2418\theta-441\right)+2^{12}\ z^{3}\left(416\theta^4+2016\theta^3+756\theta^2-288\theta-135\right)+2^{19}\ z^{4}(8\theta^2-28\theta-33)(2\theta+1)^2-2^{24}\ z^{5}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=7^{2}\ \theta^4-2\ 3\ 7\ z\left(192\theta^4+396\theta^3+303\theta^2+105\theta+14\right)+2^{2}\ 3\ z^{2}\left(1188\theta^4+11736\theta^3+20431\theta^2+12152\theta+2436\right)+2^{2}\ 3^{3}\ z^{3}\left(532\theta^4+504\theta^3-3455\theta^2-3829\theta-1036\right)-2^{4}\ 3^{4}\ z^{4}(2\theta+1)(36\theta^3+306\theta^2+421\theta+156)-2^{6}\ 3^{4}\ z^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)

\(L(z,\theta)=5^{2}\ \theta^4-5\ z\left(1057\theta^4+1058\theta^3+819\theta^2+290\theta+40\right)+2^{5}\ z^{2}\left(10123\theta^4+11419\theta^3+5838\theta^2+1510\theta+180\right)-2^{8}\ z^{3}\left(30981\theta^4+46560\theta^3+48211\theta^2+25500\theta+5100\right)+2^{14}\ 11\ z^{4}(2\theta+1)(234\theta^3+591\theta^2+581\theta+202)-2^{20}\ 11^{2}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=3^{2}\ \theta^4-2^{2}\ 3\ z\left(28\theta^4+1016\theta^3+739\theta^2+231\theta+30\right)-2^{9}\ z^{2}\left(1168\theta^4-968\theta^3-9518\theta^2-5325\theta-1005\right)+2^{16}\ z^{3}\left(988\theta^4+8208\theta^3-743\theta^2-4230\theta-1245\right)+2^{24}\ 5\ z^{4}(2\theta+1)^2(9\theta^2-279\theta-277)-2^{33}\ 5^{2}\ z^{5}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=7^{2}\ \theta^4-2\ 7\ z\theta(192\theta^3+60\theta^2+37\theta+7)-2^{2}\ z^{2}\left(17608\theta^4+115144\theta^3+166715\theta^2+94556\theta+18816\right)+2^{4}\ 3^{2}\ z^{3}\left(20288\theta^4+57288\theta^3+27524\theta^2-7455\theta-5026\right)-2^{6}\ 3^{5}\ z^{4}(2\theta+1)(458\theta^3-657\theta^2-1799\theta-846)-2^{12}\ 3^{8}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+z\left(295\theta^4+572\theta^3+424\theta^2+138\theta+17\right)+2\ z^{2}\left(843\theta^4+744\theta^3-473\theta^2-481\theta-101\right)+2\ z^{3}\left(1129\theta^4-516\theta^3-725\theta^2-159\theta+4\right)-3\ z^{4}\left(173\theta^4+352\theta^3+290\theta^2+114\theta+18\right)-3^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4-2^{2}\ 5\ z\left(12\theta^4+48\theta^3+49\theta^2+25\theta+5\right)-2^{4}\ z^{2}\left(544\theta^4+1792\theta^3+2444\theta^2+1580\theta+405\right)+2^{9}\ z^{3}\left(112\theta^4+960\theta^3+2306\theta^2+2130\theta+685\right)+2^{12}\ z^{4}\left(144\theta^4+768\theta^3+1308\theta^2+924\theta+235\right)+2^{20}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(144\theta^4-192\theta^3-132\theta^2-36\theta-5\right)+2^{13}\ z^{2}\left(112\theta^4-512\theta^3+98\theta^2+50\theta+13\right)-2^{20}\ z^{3}\left(544\theta^4+384\theta^3+332\theta^2+108\theta+21\right)-2^{30}\ 5\ z^{4}\left(12\theta^4-23\theta^2-23\theta-7\right)+2^{40}\ 5^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-3\ z\left(106\theta^4+146\theta^3+115\theta^2+42\theta+6\right)-z^{2}\left(4511\theta^4+24314\theta^3+37829\theta^2+23598\theta+5286\right)+2^{2}\ z^{3}\left(10457\theta^4+32184\theta^3+24449\theta^2+3627\theta-1317\right)-2^{2}\ 11\ z^{4}\left(1596\theta^4+2040\theta^3-101\theta^2-1085\theta-386\right)-2^{4}\ 11^{2}\ z^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=5^{2}\ \theta^4+2^{2}\ 5\ z\left(148\theta^4+392\theta^3+341\theta^2+145\theta+25\right)+2^{4}\ z^{2}\left(4096\theta^4+32128\theta^3+57016\theta^2+37920\theta+9175\right)-2^{8}\ z^{3}\left(6656\theta^4+7680\theta^3-36960\theta^2-49920\theta-16985\right)-2^{15}\ z^{4}\left(512\theta^4+4864\theta^3+9136\theta^2+6464\theta+1587\right)+2^{20}\ z^{5}(4\theta+5)^2(4\theta+3)^2\)

\(L(z,\theta)=23^{2}\ \theta^4-23\ z\left(3271\theta^4+5078\theta^3+3896\theta^2+1357\theta+184\right)+z^{2}\left(1357863\theta^4+999924\theta^3-787393\theta^2-850862\theta-205712\right)-2^{3}\ z^{3}\left(775799\theta^4-272481\theta^3-218821\theta^2+176709\theta+100234\right)-2^{4}\ 61\ z^{4}\left(1005\theta^4-15654\theta^3-36317\theta^2-27938\theta-7304\right)-2^{9}\ 61^{2}\ z^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=5^{2}\ \theta^4+2^{2}\ 5\ z\left(292\theta^4+368\theta^3+289\theta^2+105\theta+15\right)+2^{4}\ z^{2}\left(24736\theta^4+43648\theta^3+38936\theta^2+18980\theta+3735\right)+2^{9}\ 3^{2}\ z^{3}\left(2512\theta^4+5760\theta^3+6328\theta^2+3330\theta+655\right)+2^{12}\ 3^{4}\ z^{4}(2\theta+1)(232\theta^3+588\theta^2+590\theta+207)+2^{18}\ 3^{6}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=17^{2}\ \theta^4+17\ z\left(286\theta^4+734\theta^3+656\theta^2+289\theta+51\right)+3^{2}\ z^{2}\left(4110\theta^4+22074\theta^3+37209\theta^2+26265\theta+6800\right)-3^{5}\ z^{3}\left(1521\theta^4+7344\theta^3+12936\theta^2+9945\theta+2822\right)+3^{8}\ z^{4}\left(123\theta^4+552\theta^3+879\theta^2+603\theta+152\right)-3^{12}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-3^{2}\ z\left(123\theta^4-60\theta^3-39\theta^2-9\theta-1\right)+3^{5}\ z^{2}\left(1521\theta^4-1260\theta^3+30\theta^2-21\theta-10\right)-3^{8}\ z^{3}\left(4110\theta^4-5634\theta^3-4353\theta^2-1629\theta-220\right)-3^{12}\ 17\ z^{4}\left(286\theta^4+410\theta^3+170\theta^2-35\theta-30\right)-3^{18}\ 17^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ 7^{2}\ \theta^4-3\ 7\ z\left(3289\theta^4+6098\theta^3+4645\theta^2+1596\theta+210\right)+2^{2}\ 5\ z^{2}\left(7712\theta^4-46168\theta^3-106885\theta^2-67410\theta-13629\right)+2^{4}\ z^{3}\left(106636\theta^4+493416\theta^3+420211\theta^2+116361\theta+6090\right)-2^{8}\ 5\ z^{4}(2\theta+1)(1916\theta^3+2622\theta^2+1077\theta+91)-2^{12}\ 5^{2}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+3\ z\left(279\theta^4-252\theta^3-160\theta^2-34\theta-3\right)+2\ 3^{5}\ z^{2}\left(423\theta^4-468\theta^3+457\theta^2+215\theta+37\right)+2\ 3^{9}\ z^{3}\left(531\theta^4+1296\theta^3+1243\theta^2+567\theta+104\right)+3^{15}\ 5\ z^{4}\left(51\theta^4+120\theta^3+126\theta^2+66\theta+14\right)+3^{20}\ 5^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z\left(566\theta^4+34\theta^3+62\theta^2+45\theta+9\right)+3\ z^{2}\left(39370\theta^4+17302\theta^3+22493\theta^2+8369\theta+1140\right)-3^{2}\ z^{3}\left(1215215\theta^4+1432728\theta^3+1274122\theta^2+538245\theta+93222\right)+3^{7}\ 61\ z^{4}\left(3029\theta^4+6544\theta^3+6135\theta^2+2863\theta+548\right)-3^{12}\ 61^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{2}\ z\left(54\theta^4+66\theta^3+49\theta^2+16\theta+2\right)+2^{4}\ z^{2}\left(417\theta^4-306\theta^3-1219\theta^2-776\theta-154\right)+2^{8}\ z^{3}\left(166\theta^4+1920\theta^3+1589\theta^2+432\theta+23\right)-2^{12}\ 7\ z^{4}(2\theta+1)(38\theta^3+45\theta^2+12\theta-2)-2^{14}\ 7^{2}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=3^{4}\ \theta^4-3^{2}\ z\left(1993\theta^4+3218\theta^3+2437\theta^2+828\theta+108\right)+2^{5}\ z^{2}\left(17486\theta^4+25184\theta^3+12239\theta^2+2790\theta+297\right)-2^{8}\ z^{3}\left(23620\theta^4+34776\theta^3+28905\theta^2+12447\theta+2106\right)+2^{15}\ z^{4}(2\theta+1)(340\theta^3+618\theta^2+455\theta+129)-2^{22}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=3^{2}\ \theta^4-3\ z\left(592\theta^4+1100\theta^3+829\theta^2+279\theta+36\right)+z^{2}\left(13801\theta^4+6652\theta^3-18041\theta^2-14904\theta-3312\right)-2\ z^{3}\theta(8461\theta^3-29160\theta^2-28365\theta-7236)-2^{2}\ 3\ 7\ z^{4}\left(513\theta^4+864\theta^3+487\theta^2+64\theta-16\right)-2^{3}\ 3\ 7^{2}\ z^{5}(\theta+1)^2(3\theta+2)(3\theta+4)\)

\(L(z,\theta)=11^{2}\ \theta^4-3\ 11\ z\left(361\theta^4+530\theta^3+419\theta^2+154\theta+22\right)+2^{2}\ z^{2}\left(47008\theta^4+45904\theta^3-3251\theta^2-17094\theta-4851\right)-2^{4}\ 3\ z^{3}\left(31436\theta^4+86856\theta^3+160363\theta^2+122133\theta+30294\right)+2^{9}\ 3^{2}\ z^{4}(2\theta+1)(1252\theta^3+5442\theta^2+6767\theta+2625)-2^{14}\ 3^{6}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=29^{2}\ \theta^4-2\ 29\ z\left(1318\theta^4+2336\theta^3+1806\theta^2+638\theta+87\right)-2^{2}\ z^{2}\left(90996\theta^4+744384\theta^3+1267526\theta^2+791584\theta+168345\right)+2^{2}\ 5^{2}\ z^{3}\left(34172\theta^4+77256\theta^3-46701\theta^2-110403\theta-36540\right)+2^{4}\ 5^{4}\ z^{4}(2\theta+1)(68\theta^3+1842\theta^2+2899\theta+1215)-2^{6}\ 5^{7}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=11^{2}\ \theta^4-11\ z\left(1673\theta^4+3046\theta^3+2337\theta^2+814\theta+110\right)+2\ 5\ z^{2}\left(19247\theta^4+28298\theta^3+13285\theta^2+3454\theta+660\right)-2^{2}\ z^{3}\left(167497\theta^4+245982\theta^3+227451\theta^2+115434\theta+22968\right)+2^{3}\ 5^{2}\ z^{4}\left(4079\theta^4+10270\theta^3+11427\theta^2+6226\theta+1340\right)-2^{5}\ 5^{4}\ z^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=7^{2}\ \theta^4-7\ z\left(39\theta^4+234\theta^3+201\theta^2+84\theta+14\right)-2\ z^{2}\left(12073\theta^4+43222\theta^3+57461\theta^2+34328\theta+7756\right)-2^{2}\ z^{3}\left(28923\theta^4+48426\theta^3-33393\theta^2-80976\theta-32032\right)+2^{3}\ 13\ z^{4}\left(359\theta^4+9790\theta^3+20805\theta^2+15784\theta+4124\right)+2^{5}\ 3\ 13^{2}\ z^{5}(\theta+1)^2(6\theta+5)(6\theta+7)\)

\(L(z,\theta)=\theta^4-z(\theta+1)(285\theta^3+321\theta^2+128\theta+18)-2\ z^{2}\left(1640\theta^4+1322\theta^3-1337\theta^2-1178\theta-240\right)-2^{2}\ 3^{2}\ z^{3}\left(213\theta^4-256\theta^3-286\theta^2-80\theta-5\right)+2^{3}\ 3^{3}\ z^{4}(2\theta+1)(22\theta^3+37\theta^2+24\theta+6)+2^{4}\ 3^{3}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=5^{2}\ \theta^4-5\ z\left(473\theta^4+892\theta^3+696\theta^2+250\theta+35\right)+2\ z^{2}\left(1973\theta^4-4636\theta^3-14417\theta^2-10895\theta-2745\right)+2\ 3^{2}\ z^{3}\left(343\theta^4+1920\theta^3+1147\theta^2-345\theta-320\right)-3^{4}\ z^{4}\left(83\theta^4-104\theta^3-458\theta^2-406\theta-114\right)-3^{8}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+z\left(83\theta^4+436\theta^3+352\theta^2+134\theta+21\right)-2\ 3^{2}\ z^{2}\left(343\theta^4-548\theta^3-2555\theta^2-1749\theta-405\right)-2\ 3^{4}\ z^{3}\left(1973\theta^4+12528\theta^3+11329\theta^2+3861\theta+342\right)+3^{8}\ 5\ z^{4}\left(473\theta^4+1000\theta^3+858\theta^2+358\theta+62\right)-3^{12}\ 5^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=11^{2}\ \theta^4-11\ z\left(4843\theta^4+8918\theta^3+6505\theta^2+2046\theta+242\right)+2^{2}\ z^{2}\left(312184\theta^4+343456\theta^3-23371\theta^2-73942\theta-14883\right)-2^{4}\ z^{3}\left(511972\theta^4+256344\theta^3+144969\theta^2+78639\theta+15642\right)+2^{11}\ z^{4}(2\theta+1)(1964\theta^3+3078\theta^2+1853\theta+419)-2^{18}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=3^{4}\ \theta^4-3^{2}\ z\left(191\theta^4+862\theta^3+683\theta^2+252\theta+36\right)-2^{5}\ z^{2}\left(7225\theta^4+24835\theta^3+30634\theta^2+16173\theta+3069\right)-2^{8}\ z^{3}\left(13251\theta^4+35856\theta^3+27641\theta^2+6966\theta+180\right)-2^{12}\ 5\ z^{4}(2\theta+1)(314\theta^3+363\theta^2+68\theta-31)+2^{16}\ 5^{2}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=11^{2}\ \theta^4-2^{2}\ 11\ z\left(432\theta^4+624\theta^3+477\theta^2+165\theta+22\right)+2^{5}\ z^{2}\left(12944\theta^4+4736\theta^3-15491\theta^2-12914\theta-2860\right)-2^{4}\ 5\ z^{3}\left(10688\theta^4-114048\theta^3-159132\theta^2-83028\theta-15455\right)-2^{11}\ 5^{2}\ z^{4}(2\theta+1)(4\theta+3)(76\theta^2+189\theta+125)+2^{14}\ 5^{3}\ z^{5}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(8\theta^4+34\theta^3+25\theta^2+8\theta+1\right)-2^{8}\ z^{2}\left(87\theta^4+150\theta^3+32\theta^2-2\theta-1\right)-2^{12}\ z^{3}\left(202\theta^4+240\theta^3+211\theta^2+102\theta+19\right)-2^{16}\ 3\ z^{4}(2\theta+1)(22\theta^3+45\theta^2+38\theta+12)-2^{20}\ 3^{2}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(112\theta^4-64\theta^3-32\theta^2+1\right)+2^{14}\ z^{2}\left(56\theta^4-64\theta^3+3\theta^2-10\theta-4\right)+2^{20}\ z^{3}\left(32\theta^4-384\theta^3-436\theta^2-264\theta-55\right)-2^{29}\ 3\ z^{4}(2\theta+1)(10\theta+7)(2\theta^2+4\theta+3)-2^{38}\ 3^{2}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(18\theta^4-48\theta^3-33\theta^2-9\theta-1\right)-2^{9}\ z^{2}\left(86\theta^4+512\theta^3+125\theta^2+45\theta+10\right)-2^{14}\ z^{3}\left(1138\theta^4+2040\theta^3+1883\theta^2+879\theta+157\right)-2^{19}\ 7\ z^{4}(2\theta+1)(186\theta^3+375\theta^2+317\theta+100)-2^{27}\ 7^{2}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=3^{2}\ \theta^4+2^{2}\ 3\ z\left(67\theta^4+122\theta^3+100\theta^2+39\theta+6\right)+2^{5}\ z^{2}\left(1172\theta^4+4298\theta^3+5831\theta^2+3315\theta+678\right)+2^{8}\ z^{3}\left(3021\theta^4+15912\theta^3+29314\theta^2+20925\theta+4926\right)+2^{11}\ z^{4}(2\theta+1)(826\theta^3+3543\theta^2+4321\theta+1594)+2^{16}\ z^{5}(2\theta+1)(4\theta+3)(4\theta+5)(2\theta+3)\)

\(L(z,\theta)=3^{2}\ \theta^4+2^{2}\ 3\ z\left(278\theta^4+424\theta^3+311\theta^2+99\theta+12\right)+2^{5}\ z^{2}\left(5210\theta^4+3944\theta^3-2635\theta^2-2433\theta-492\right)+2^{8}\ z^{3}\left(8190\theta^4-3528\theta^3-3991\theta^2-585\theta+114\right)-2^{11}\ 11\ z^{4}(2\theta+1)(86\theta^3+57\theta^2-39\theta-32)+2^{15}\ 11^{2}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=3^{2}\ \theta^4-2^{2}\ 3\ z\left(124\theta^4+1064\theta^3+769\theta^2+237\theta+30\right)-2^{7}\ z^{2}\left(8092\theta^4+5848\theta^3-22175\theta^2-13869\theta-2751\right)-2^{12}\ z^{3}\left(5412\theta^4-92376\theta^3-67609\theta^2-15615\theta-96\right)+2^{17}\ 17\ z^{4}(2\theta+1)(2242\theta^3+1419\theta^2-1047\theta-733)-2^{23}\ 3\ 17^{2}\ z^{5}(2\theta+1)(3\theta+2)(3\theta+4)(2\theta+3)\)

\(L(z,\theta)=\theta^4-z\left(70\theta^4+86\theta^3+77\theta^2+34\theta+6\right)+3\ z^{2}\left(675\theta^4+1602\theta^3+1933\theta^2+1130\theta+258\right)-2^{2}\ 3^{3}\ z^{3}\left(271\theta^4+888\theta^3+1259\theta^2+831\theta+207\right)+2^{2}\ 3^{5}\ z^{4}\left(212\theta^4+808\theta^3+1189\theta^2+773\theta+186\right)-2^{4}\ 3^{7}\ z^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=13^{2}\ \theta^4-13\ z\left(441\theta^4+690\theta^3+631\theta^2+286\theta+52\right)+2^{4}\ z^{2}\left(5121\theta^4+15576\theta^3+21215\theta^2+13702\theta+3445\right)-2^{10}\ z^{3}\left(640\theta^4+2847\theta^3+5078\theta^2+4056\theta+1196\right)+2^{14}\ z^{4}\left(125\theta^4+562\theta^3+905\theta^2+624\theta+157\right)-2^{21}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(125\theta^4-62\theta^3-31\theta^2+1\right)+2^{11}\ z^{2}\left(640\theta^4-287\theta^3+377\theta^2+119\theta+11\right)-2^{16}\ z^{3}\left(5121\theta^4+4908\theta^3+5213\theta^2+2484\theta+503\right)+2^{23}\ 13\ z^{4}\left(441\theta^4+1074\theta^3+1207\theta^2+670\theta+148\right)-2^{34}\ 13^{2}\ z^{5}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4-5\ z\left(553\theta^4+722\theta^3+611\theta^2+250\theta+40\right)+2^{6}\ z^{2}\left(1914\theta^4+4722\theta^3+5519\theta^2+3010\theta+610\right)-2^{12}\ z^{3}\left(685\theta^4+2400\theta^3+3466\theta^2+2220\theta+500\right)+2^{19}\ z^{4}(2\theta+1)(30\theta^3+105\theta^2+122\theta+46)-2^{25}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=3^{2}\ \theta^4-2^{3}\ 3\ z\left(61\theta^4+74\theta^3+58\theta^2+21\theta+3\right)+2^{4}\ z^{2}\left(3883\theta^4+5356\theta^3+3451\theta^2+1278\theta+228\right)-2^{7}\ z^{3}\left(8067\theta^4+13410\theta^3+12875\theta^2+6336\theta+1236\right)+2^{14}\ z^{4}\left(413\theta^4+1069\theta^3+1206\theta^2+658\theta+140\right)-2^{19}\ 3\ z^{5}(\theta+1)^2(3\theta+2)(3\theta+4)\)

\(L(z,\theta)=\theta^4-2\ z\left(60\theta^4+90\theta^3+68\theta^2+23\theta+3\right)+2^{2}\ z^{2}\left(313\theta^4-398\theta^3-1417\theta^2-1033\theta-252\right)+2^{3}\ z^{3}\left(654\theta^4+5064\theta^3+3574\theta^2+129\theta-405\right)-2^{4}\ 5\ z^{4}\left(628\theta^4-40\theta^3-1699\theta^2-1661\theta-480\right)-2^{6}\ 3\ 5^{2}\ z^{5}(\theta+1)^2(6\theta+5)(6\theta+7)\)

\(L(z,\theta)=\theta^4-2^{2}\ z\theta(22\theta^3+8\theta^2+5\theta+1)+2^{5}\ z^{2}\left(34\theta^4-152\theta^3-265\theta^2-163\theta-36\right)+2^{8}\ z^{3}\left(142\theta^4+600\theta^3+335\theta^2-39\theta-54\right)-2^{11}\ 3\ z^{4}\left(68\theta^4-56\theta^3-295\theta^2-261\theta-72\right)-2^{15}\ 3^{2}\ z^{5}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(560\theta^4-32\theta^3+56\theta^2+72\theta+15\right)+2^{15}\ z^{2}\left(896\theta^4+272\theta^3+604\theta^2+196\theta+21\right)-2^{24}\ 3^{2}\ z^{3}\left(288\theta^4+352\theta^3+364\theta^2+164\theta+29\right)+2^{35}\ 3^{3}\ z^{4}(2\theta+1)(16\theta^3+32\theta^2+28\theta+9)-2^{46}\ 3^{3}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(8960\theta^4-512\theta^3+736\theta^2+992\theta+183\right)+2^{19}\ z^{2}\left(14336\theta^4+4352\theta^3+9008\theta^2+2544\theta+261\right)-2^{32}\ 3^{2}\ z^{3}\left(4608\theta^4+5632\theta^3+5408\theta^2+2208\theta+351\right)+2^{49}\ 3^{3}\ z^{4}(2\theta+1)^2(32\theta^2+48\theta+27)-2^{64}\ 3^{3}\ z^{5}(2\theta+1)^2(2\theta+3)^2\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(560\theta^4-32\theta^3+56\theta^2+72\theta+15\right)+2^{15}\ z^{2}\left(896\theta^4+272\theta^3+604\theta^2+196\theta+21\right)+2^{24}\ 3^{2}\ z^{3}\left(288\theta^4+352\theta^3+364\theta^2+164\theta+29\right)+2^{35}\ 3^{3}\ z^{4}(2\theta+1)(16\theta^3+32\theta^2+28\theta+9)+2^{46}\ 3^{3}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(41\theta^4+34\theta^3+25\theta^2+8\theta+1\right)+2^{10}\ z^{2}\left(126\theta^4+108\theta^3+33\theta^2+6\theta+1\right)-2^{14}\ z^{3}\left(564\theta^4+504\theta^3+429\theta^2+195\theta+34\right)+2^{21}\ z^{4}(2\theta+1)(44\theta^3+78\theta^2+59\theta+17)-2^{28}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(17\theta^4+130\theta^3+91\theta^2+26\theta+3\right)-2^{11}\ z^{2}\left(150\theta^4+204\theta^3-163\theta^2-110\theta-21\right)-2^{16}\ z^{3}\left(564\theta^4-648\theta^3-595\theta^2-189\theta-18\right)+2^{24}\ z^{4}(2\theta+1)(52\theta^3+66\theta^2+29\theta+3)-2^{32}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+z\left(119\theta^4-194\theta^3-143\theta^2-46\theta-6\right)-2^{2}\ 3^{2}\ z^{2}\left(46\theta^4+748\theta^3+379\theta^2+150\theta+27\right)-2^{2}\ 3^{4}\ z^{3}\left(2164\theta^4+6264\theta^3+7421\theta^2+4131\theta+846\right)-2^{5}\ 3^{8}\ z^{4}(2\theta+1)(76\theta^3+222\theta^2+235\theta+85)-2^{8}\ 3^{12}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(28\theta^4-40\theta^3-28\theta^2-8\theta-1\right)+2^{13}\ z^{2}\left(6\theta^4-12\theta^3+17\theta^2+10\theta+2\right)+2^{18}\ z^{3}\left(12\theta^4+72\theta^3+35\theta^2-3\theta-4\right)+2^{26}\ z^{4}(2\theta+1)(4\theta^3-6\theta^2-15\theta-7)-2^{34}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-z\left(1081\theta^4+2594\theta^3+1807\theta^2+510\theta+54\right)-2^{2}\ 3^{2}\ z^{2}\left(4686\theta^4+4908\theta^3-2213\theta^2-1738\theta-293\right)-2^{2}\ 3^{4}\ z^{3}\left(18484\theta^4-3336\theta^3-4883\theta^2-1101\theta-50\right)+2^{5}\ 3^{7}\ z^{4}(2\theta+1)(92\theta^3+134\theta^2+79\theta+17)-2^{8}\ 3^{8}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-z\left(1217\theta^4+2050\theta^3+1437\theta^2+412\theta+44\right)+2^{5}\ z^{2}(\theta+1)(4550\theta^3-186\theta^2-899\theta-171)-2^{8}\ z^{3}\left(18484\theta^4+3192\theta^3+1005\theta^2+1107\theta+258\right)+2^{14}\ z^{4}(2\theta+1)(268\theta^3+414\theta^2+267\theta+65)-2^{20}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+z\left(623\theta^4-2210\theta^3-1565\theta^2-460\theta-60\right)-2^{5}\ 3^{2}\ z^{2}\left(550\theta^4+2764\theta^3-3581\theta^2-2190\theta-459\right)-2^{8}\ 3^{4}\ z^{3}\left(2164\theta^4-17928\theta^3-13315\theta^2-3645\theta-126\right)+2^{14}\ 3^{8}\ z^{4}(2\theta+1)(148\theta^3+114\theta^2-35\theta-41)-2^{20}\ 3^{12}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+2^{2}\ z\left(92\theta^4-680\theta^3-481\theta^2-141\theta-18\right)-2^{8}\ 3^{2}\ z^{2}\left(192\theta^4+456\theta^3-514\theta^2-323\theta-67\right)-2^{14}\ 3^{4}\ z^{3}\left(88\theta^4-312\theta^3-248\theta^2-75\theta-5\right)+2^{20}\ 3^{7}\ z^{4}(2\theta+1)(8\theta^3+8\theta^2+\theta-1)-2^{26}\ 3^{8}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(24\theta^4-96\theta^3-70\theta^2-22\theta-3\right)-2^{10}\ z^{2}\left(124\theta^4+496\theta^3-271\theta^2-202\theta-45\right)-2^{17}\ 3^{2}\ z^{3}\left(32\theta^4-56\theta^3-66\theta^2-31\theta-5\right)+2^{24}\ 3^{3}\ z^{4}(\theta+1)(2\theta+1)(6\theta^2+11\theta+6)+2^{32}\ 3^{3}\ z^{5}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4-z\left(61\theta^4+122\theta^3+125\theta^2+64\theta+12\right)-2^{3}\ z^{2}\left(193\theta^4+772\theta^3+1033\theta^2+522\theta+72\right)+2^{9}\ 3\ z^{3}\left(146\theta^4+876\theta^3+1838\theta^2+1572\theta+405\right)-2^{12}\ 3^{2}\ z^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)+2^{16}\ 3^{3}\ z^{5}(16\theta^2+80\theta+35)(2\theta+5)^2-2^{19}\ 3^{4}\ z^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)

\(L(z,\theta)=\theta^4-z\left(205\theta^4+410\theta^3+305\theta^2+100\theta+12\right)-2^{5}\ z^{2}\left(127\theta^4+508\theta^3+742\theta^2+468\theta+99\right)-2^{2}\ 3\ z^{3}\left(2588\theta^4+15528\theta^3+32639\theta^2+28041\theta+7290\right)-2^{6}\ 3^{2}\ z^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)-2^{7}\ 3^{3}\ z^{5}(16\theta^2+80\theta+35)(2\theta+5)^2-2^{7}\ 3^{4}\ z^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)

\(L(z,\theta)=\theta^4-3\ z\left(42\theta^4+84\theta^3+77\theta^2+35\theta+6\right)+3^{3}\ z^{2}\left(291\theta^4+1164\theta^3+1747\theta^2+1166\theta+264\right)-2^{2}\ 3^{5}\ z^{3}\left(360\theta^4+2160\theta^3+4553\theta^2+3939\theta+1035\right)+2^{3}\ 3^{8}\ z^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)-2^{4}\ 3^{11}\ z^{5}(16\theta^2+80\theta+35)(2\theta+5)^2+2^{4}\ 3^{14}\ z^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)

\(L(z,\theta)=3^{8}\ \theta^4-3^{4}\ z\left(1234\theta^4+2168\theta^3+1975\theta^2+891\theta+162\right)-z^{2}\left(205589\theta^4+1177556\theta^3+2033921\theta^2+1521180\theta+428004\right)+z^{3}\left(2310517\theta^4+12882402\theta^3+26939429\theta^2+25052328\theta+8683524\right)-2^{2}\ 5^{2}\ z^{4}\left(51526\theta^4+332687\theta^3+804453\theta^2+849398\theta+325796\right)+2^{2}\ 5^{4}\ z^{5}(\theta+1)(1593\theta^3+8667\theta^2+15104\theta+8516)-2^{4}\ 5^{6}\ z^{6}(\theta+2)(\theta+1)(2\theta+3)^2\)

\(L(z,\theta)=\theta^4-z\left(254\theta^4+508\theta^3+391\theta^2+137\theta+18\right)+z^{2}\left(4657\theta^4+18628\theta^3+27265\theta^2+17274\theta+3672\right)-2^{2}\ 3\ z^{3}\left(2920\theta^4+17520\theta^3+36833\theta^2+31659\theta+8235\right)+2^{3}\ 3^{4}\ z^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)-2^{4}\ 3^{5}\ z^{5}(16\theta^2+80\theta+35)(2\theta+5)^2+2^{4}\ 3^{6}\ z^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)

\(L(z,\theta)=\theta^4-z\left(33\theta^4+258\theta^3+199\theta^2+70\theta+10\right)-2^{2}\ z^{2}\left(1380\theta^4+2400\theta^3-173\theta^2-634\theta-185\right)-2^{4}\ z^{3}\left(7325\theta^4+2670\theta^3-668\theta^2-1035\theta-290\right)-2^{7}\ z^{4}\left(897\theta^4-3504\theta^3-10058\theta^2-8492\theta-2435\right)+2^{12}\ z^{5}(\theta+1)^2(858\theta^2+1566\theta+745)-2^{17}\ 5^{2}\ z^{6}(\theta+1)^2(\theta+2)^2\)

\(L(z,\theta)=\theta^4-2^{2}\ z(5\theta^2+5\theta+2)(13\theta^2+13\theta+3)+2^{5}\ z^{2}\left(533\theta^4+2132\theta^3+3137\theta^2+2010\theta+432\right)-2^{8}\ 3\ z^{3}\left(652\theta^4+3912\theta^3+8229\theta^2+7083\theta+1845\right)+2^{12}\ 3^{2}\ z^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)-2^{15}\ 3^{3}\ z^{5}(16\theta^2+80\theta+35)(2\theta+5)^2+2^{17}\ 3^{4}\ z^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(448\theta^4-544\theta^3-332\theta^2-60\theta-5\right)+2^{12}\ z^{2}\left(2576\theta^4-8416\theta^3+2808\theta^2+668\theta+35\right)-2^{20}\ z^{3}\left(9088\theta^4+5568\theta^3+5392\theta^2+3180\theta+667\right)-2^{28}\ 3^{2}\ z^{4}(2\theta+1)(744\theta^3+940\theta^2+798\theta+167)+2^{38}\ 3^{3}\ 5\ z^{5}(16\theta^2+40\theta+33)(\theta+1)^2+2^{48}\ 3^{3}\ 5^{2}\ z^{6}(\theta+1)^2(\theta+2)^2\)

\(L(z,\theta)=\theta^4-z\left(81\theta^4+162\theta^3+154\theta^2+73\theta+14\right)+z^{2}\left(2469\theta^4+9876\theta^3+15571\theta^2+11390\theta+3256\right)-z^{3}\left(35999\theta^4+215994\theta^3+476503\theta^2+457536\theta+162708\right)+2\ 3\ 5\ z^{4}\left(8837\theta^4+70696\theta^3+200535\theta^2+236572\theta+98316\right)-2^{2}\ 3^{2}\ 5^{2}\ 7\ z^{5}(\theta+4)(\theta+1)(151\theta^2+755\theta+850)+2^{3}\ 3^{3}\ 5^{3}\ 7^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=\theta^4-z\left(105\theta^4+210\theta^3+199\theta^2+94\theta+18\right)+2\ z^{2}\left(2095\theta^4+8380\theta^3+13298\theta^2+9836\theta+2850\right)-2^{2}\ 3^{2}\ z^{3}\left(2310\theta^4+13860\theta^3+30739\theta^2+29847\theta+10763\right)+2^{3}\ 3^{3}\ z^{4}\left(4044\theta^4+32352\theta^3+91997\theta^2+109172\theta+45693\right)-2^{4}\ 3^{3}\ 5^{2}\ 7\ z^{5}(\theta+4)(\theta+1)(61\theta^2+305\theta+345)+2^{5}\ 3^{5}\ 5^{2}\ 7^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=23^{6}\ \theta^4+2\ 23^{5}\ z\left(224\theta^4+448\theta^3+449\theta^2+225\theta+45\right)+2^{2}\ 23^{4}\ z^{2}\left(6271\theta^4+25084\theta^3+40435\theta^2+30702\theta+9035\right)-23^{3}\ z^{3}\left(8650483\theta^4+51902898\theta^3+114278033\theta^2+109271058\theta+38421000\right)-2^{2}\ 5\ 23^{2}\ z^{4}\left(37482007\theta^4+299856056\theta^3+854051365\theta^2+1017357012\theta+426206376\right)-2^{4}\ 3\ 5^{2}\ 7\ 11\ 19\ 23\ z^{5}(\theta+4)(\theta+1)(10889\theta^2+54445\theta+62408)-2^{6}\ 3^{2}\ 5^{3}\ 7^{2}\ 11^{2}\ 19^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=\theta^4+z\left(13\theta^4+26\theta^3+24\theta^2+11\theta+2\right)-z^{2}(141\theta^2+282\theta+296)(\theta+1)^2-2\ z^{3}(\theta+2)(\theta+1)(407\theta^2+1221\theta+654)+2^{2}\ 7\ z^{4}(\theta+3)(\theta+1)(389\theta^2+1556\theta+1460)-2^{3}\ 3\ 7^{2}\ z^{5}(\theta+4)(\theta+1)(29\theta^2+145\theta+166)+2^{5}\ 3\ 7^{3}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=\theta^4+z\left(20\theta^4+40\theta^3+47\theta^2+27\theta+6\right)-z^{2}(143\theta^2+286\theta+120)(\theta+1)^2-2\ 3^{2}\ z^{3}(\theta+2)(\theta+1)(291\theta^2+873\theta+766)-2^{2}\ 3^{3}\ 5\ z^{4}(\theta+3)(\theta+1)(41\theta^2+164\theta+196)+2^{3}\ 3^{3}\ 5^{2}\ z^{5}(\theta+4)(\theta+1)(29\theta^2+145\theta+150)+2^{5}\ 3^{5}\ 5^{3}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=2^{12}\ \theta^4-2^{10}\ z\left(106\theta^4+212\theta^3+183\theta^2+77\theta+13\right)+2^{8}\ z^{2}\left(19\theta^4+76\theta^3-43\theta^2-238\theta-141\right)+2^{6}\ 3\ z^{3}\left(2988\theta^4+17928\theta^3+39970\theta^2+39234\theta+14267\right)+2^{4}\ 3^{3}\ z^{4}\left(309\theta^4+2472\theta^3+7618\theta^2+10696\theta+5311\right)-2^{2}\ 3^{3}\ 5\ 7^{2}\ z^{5}(\theta+4)(\theta+1)(22\theta^2+110\theta+123)-3^{5}\ 5^{2}\ 7^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=29^{6}\ \theta^4-2\ 29^{5}\ z(2\theta^2+2\theta+1)(152\theta^2+152\theta+41)-2^{2}\ 29^{4}\ z^{2}\left(4104\theta^4+16416\theta^3+23786\theta^2+14740\theta+3267\right)+2^{2}\ 29^{3}\ z^{3}\left(517492\theta^4+3104952\theta^3+6923513\theta^2+6798255\theta+2465928\right)-2^{4}\ 3\ 29^{2}\ z^{4}\left(3104764\theta^4+24838112\theta^3+70273625\theta^2+82389604\theta+33870303\right)+2^{8}\ 3^{2}\ 19\ 23\ 29\ z^{5}(\theta+4)(\theta+1)(5408\theta^2+27040\theta+30585)-2^{12}\ 3^{4}\ 19^{2}\ 23^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=3^{6}\ \theta^4+3^{5}\ z\left(7\theta^2+7\theta+2\right)-3^{4}\ z^{2}\left(1095\theta^4+4380\theta^3+7227\theta^2+5694\theta+1760\right)-2\ 3^{3}\ z^{3}(\theta+2)(\theta+1)(4165\theta^2+12495\theta+11148)+2^{2}\ 3^{2}\ z^{4}(47961\theta^2+191844\theta+148643)(\theta+2)^2+2^{3}\ 3^{2}\ 5\ 7\ 17\ 73\ z^{5}(\theta+1)(\theta+2)(\theta+3)(\theta+4)-2^{5}\ 5^{2}\ 7^{2}\ 17^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=13^{6}\ \theta^4+13^{5}\ z(48\theta^2+48\theta+11)(3\theta^2+3\theta+1)-13^{4}\ z^{2}\left(20766\theta^4+83064\theta^3+129875\theta^2+93622\theta+26145\right)+13^{3}\ z^{3}\left(1368558\theta^4+8211348\theta^3+18296041\theta^2+17937057\theta+6515866\right)-13^{2}\ z^{4}\left(48595515\theta^4+388764120\theta^3+1109406129\theta^2+1327511556\theta+560261752\right)+7\ 13\ 31\ 229\ z^{5}(\theta+4)(\theta+1)(19935\theta^2+99675\theta+113198)-2^{2}\ 7^{2}\ 31^{2}\ 229^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=43^{2}\ \theta^4-43\ z\left(830\theta^4+1750\theta^3+1434\theta^2+559\theta+86\right)-z^{2}\left(354697\theta^4+1342738\theta^3+2007703\theta^2+1383525\theta+368510\right)-z^{3}\left(774028\theta^4+3928308\theta^3+7763518\theta^2+6951423\theta+2348230\right)-3\ 5\ z^{4}\left(44423\theta^4+264028\theta^3+597368\theta^2+599643\theta+221430\right)-2\ 3^{2}\ 5^{2}\ z^{5}(\theta+2)(\theta+1)(533\theta^2+1694\theta+1290)-3^{3}\ 5^{3}\ z^{6}(3\theta+5)(3\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=17^{6}\ \theta^4-17^{5}\ z\left(427\theta^4+854\theta^3+814\theta^2+387\theta+74\right)+17^{4}\ z^{2}\left(47239\theta^4+188956\theta^3+300763\theta^2+223614\theta+64536\right)-2\ 3\ 17^{3}\ z^{3}\left(237751\theta^4+1426506\theta^3+3169919\theta^2+3090480\theta+1104868\right)-2^{2}\ 3^{2}\ 17^{2}\ z^{4}\left(1549605\theta^4+12396840\theta^3+35038211\theta^2+40978124\theta+16802716\right)+2^{3}\ 3^{3}\ 7\ 17\ 139\ z^{5}(\theta+4)(\theta+1)(3737\theta^2+18685\theta+21310)-2^{5}\ 3^{4}\ 7^{2}\ 139^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=3^{6}\ \theta^4-2\ 3^{5}\ z\left(93\theta^4+186\theta^3+122\theta^2+29\theta+1\right)-2^{2}\ 3^{4}\ z^{2}\left(5958\theta^4+23832\theta^3+36111\theta^2+24558\theta+6497\right)-3^{3}\ z^{3}\left(999379\theta^4+5996274\theta^3+13111103\theta^2+12350076\theta+4316124\right)-2^{2}\ 3^{2}\ 11\ z^{4}\left(455691\theta^4+3645528\theta^3+10306397\theta^2+12061364\theta+4978244\right)-2^{2}\ 3^{2}\ 5\ 11^{2}\ 19\ z^{5}(\theta+4)(\theta+1)(1431\theta^2+7155\theta+7978)-2^{6}\ 5^{2}\ 11^{3}\ 19^{2}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=\theta^4+2^{2}\ z(\theta^2+\theta+1)(18\theta^2+18\theta+5)+2^{4}\ z^{2}\left(39\theta^4+156\theta^3+337\theta^2+362\theta+135\right)-2^{6}\ z^{3}\left(1124\theta^4+6744\theta^3+14434\theta^2+12954\theta+4329\right)-2^{8}\ 3\ 7\ z^{4}\left(445\theta^4+3560\theta^3+10034\theta^2+11656\theta+4779\right)-2^{10}\ 3^{2}\ 7^{2}\ z^{5}(\theta+4)(\theta+1)(62\theta^2+310\theta+345)-2^{12}\ 3^{4}\ 7^{3}\ z^{6}(\theta+5)(\theta+4)(\theta+2)(\theta+1)\)

\(L(z,\theta)=7^{2}\ \theta^4-2\ 7\ z\left(60\theta^4+24\theta^3-9\theta^2-21\theta-7\right)-2^{2}\ z^{2}\left(6492\theta^4+30192\theta^3+46665\theta^2+30786\theta+7777\right)+2^{4}\ z^{3}\left(3632\theta^4-27552\theta^3-133920\theta^2-173880\theta-76083\right)+2^{9}\ z^{4}\left(1776\theta^4+10272\theta^3+15264\theta^2+7608\theta+121\right)-2^{14}\ z^{5}\left(48\theta^4-480\theta^3-2016\theta^2-2568\theta-1091\right)-2^{19}\ z^{6}\left((2\theta+3)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(6\theta^4+96\theta^3+99\theta^2+51\theta+11\right)-2^{9}\ z^{2}\left(222\theta^4+48\theta^3-873\theta^2-897\theta-328\right)+2^{14}\ z^{3}\left(454\theta^4+6168\theta^3+4887\theta^2+891\theta-651\right)+2^{19}\ z^{4}\left(6492\theta^4+8760\theta^3-1557\theta^2-6945\theta-2438\right)-2^{28}\ 7\ z^{5}\left(60\theta^4+336\theta^3+693\theta^2+642\theta+227\right)-2^{33}\ 7^{2}\ z^{6}\left((2\theta+3)^4\right)\)

\(L(z,\theta)=\theta^4-2\ z\left(84\theta^4+264\theta^3+299\theta^2+167\theta+37\right)+2^{2}\ z^{2}\left(260\theta^4+10640\theta^3+22443\theta^2+18950\theta+6071\right)+2^{7}\ z^{3}\left(4550\theta^4+16140\theta^3+7327\theta^2-8178\theta-6485\right)+2^{12}\ z^{4}\left(935\theta^4-8660\theta^3-28587\theta^2-29234\theta-10036\right)-2^{18}\ 3\ z^{5}\left(414\theta^4+2385\theta^3+5123\theta^2+4909\theta+1773\right)-2^{22}\ 3^{2}\ z^{6}(3\theta+5)^2(3\theta+4)^2\)

\(L(z,\theta)=\theta^4+2^{2}\ z\left(49\theta^4+98\theta^3+86\theta^2+37\theta+6\right)+2^{5}\ z^{2}\left(593\theta^4+2372\theta^3+3521\theta^2+2298\theta+504\right)+2^{10}\ 3\ z^{3}\left(332\theta^4+1992\theta^3+4194\theta^2+3618\theta+945\right)+2^{14}\ 3^{2}\ z^{4}\left(204\theta^4+1632\theta^3+4449\theta^2+4740\theta+1400\right)+2^{18}\ 3^{3}\ z^{5}(16\theta^2+80\theta+35)(2\theta+5)^2+2^{21}\ 3^{4}\ z^{6}(2\theta+11)(2\theta+7)(2\theta+5)(2\theta+1)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(22\theta^4+64\theta^3+51\theta^2+19\theta+3\right)-2^{9}\ z^{2}\left(174\theta^4-624\theta^3-945\theta^2-417\theta-80\right)-2^{14}\ z^{3}\left(2230\theta^4+3000\theta^3-5121\theta^2-3813\theta-971\right)+2^{19}\ z^{4}\left(2860\theta^4-33320\theta^3+3363\theta^2+6847\theta+2402\right)+2^{27}\ z^{5}\left(7332\theta^4+480\theta^3+81\theta^2+1380\theta+719\right)+2^{36}\ 7\ z^{6}(\theta+1)(46\theta^3+86\theta^2+67\theta+20)-2^{45}\ 7^{2}\ z^{7}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-3\ z\left(272\theta^4+340\theta^3+347\theta^2+177\theta+36\right)+z^{2}\left(31273\theta^4+76540\theta^3+103783\theta^2+71112\theta+19728\right)-2\ z^{3}\left(328219\theta^4+1181160\theta^3+1977957\theta^2+1620036\theta+522288\right)+2^{2}\ z^{4}\left(2036999\theta^4+9602752\theta^3+19022113\theta^2+17726192\theta+6309408\right)-2^{3}\ 17\ z^{5}(\theta+1)(439669\theta^3+2114103\theta^2+3708554\theta+2306280)+2^{6}\ 3^{3}\ 17^{2}\ z^{6}(\theta+1)(\theta+2)(481\theta^2+1875\theta+1962)-2^{10}\ 3^{4}\ 17^{3}\ z^{7}(\theta+1)(\theta+2)^2(\theta+3)\)

\(L(z,\theta)=\theta^4+2^{2}\ z\left(23\theta^4-34\theta^3-30\theta^2-13\theta-2\right)+2^{5}\ z^{2}\left(177\theta^4+108\theta^3+577\theta^2+518\theta+116\right)+2^{10}\ z^{3}\left(355\theta^4+960\theta^3+1178\theta^2+139\theta-44\right)+2^{15}\ z^{4}\left(451\theta^4+1228\theta^3+997\theta^2+489\theta+103\right)+2^{20}\ z^{5}\left(285\theta^4+720\theta^3+766\theta^2+410\theta+83\right)+2^{26}\ z^{6}(2\theta+1)(20\theta^3+50\theta^2+49\theta+17)+2^{31}\ z^{7}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(44\theta^4+72\theta^3+64\theta^2+28\theta+5\right)+2^{11}\ z^{2}\left(60\theta^4+328\theta^3+420\theta^2+228\theta+51\right)-2^{18}\ z^{3}\left(52\theta^4-328\theta^3-885\theta^2-663\theta-181\right)-2^{25}\ z^{4}\left(148\theta^4+344\theta^3-403\theta^2-559\theta-199\right)-2^{32}\ z^{5}\left(24\theta^4+544\theta^3+519\theta^2+147\theta-12\right)+2^{39}\ z^{6}\left(80\theta^4+32\theta^3-147\theta^2-159\theta-46\right)+2^{47}\ z^{7}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=\theta^4+2\ z\left(138\theta^4+156\theta^3+137\theta^2+59\theta+10\right)+2^{2}\ z^{2}\left(4796\theta^4+15824\theta^3+16719\theta^2+7610\theta+1400\right)-2^{4}\ 5\ z^{3}\left(5876\theta^4-28824\theta^3-58439\theta^2-39075\theta-9350\right)-2^{6}\ 5\ z^{4}\left(184592\theta^4+414976\theta^3-60816\theta^2-180968\theta-60145\right)+2^{10}\ 3\ z^{5}\left(240624\theta^4-905760\theta^3-1250920\theta^2-576920\theta-83925\right)+2^{18}\ 3^{2}\ z^{6}\left(13608\theta^4+48276\theta^3+66402\theta^2+41679\theta+9935\right)-2^{20}\ 3^{5}\ z^{7}(6\theta+5)^2(6\theta+7)^2\)

\(L(z,\theta)=\theta^4+3\ z\left(87\theta^4+84\theta^3+86\theta^2+44\theta+9\right)+2\ 3^{3}\ z^{2}\left(539\theta^4+1076\theta^3+1366\theta^2+880\theta+233\right)+2\ 3^{5}\ z^{3}\left(3699\theta^4+11424\theta^3+17579\theta^2+13389\theta+4088\right)+3^{7}\ z^{4}\left(30367\theta^4+128696\theta^3+235722\theta^2+205070\theta+69226\right)+3^{9}\ z^{5}\left(74547\theta^4+405660\theta^3+871096\theta^2+848930\theta+310507\right)+2\ 3^{11}\ 5\ z^{6}(2\theta+3)(5066\theta^3+26325\theta^2+44815\theta+23766)+2^{2}\ 3^{14}\ 5^{2}\ 7^{2}\ z^{7}(\theta+1)(2\theta+5)(2\theta+3)(\theta+3)\)

\(L(z,\theta)=\theta^4-z(7\theta^2+7\theta+2)(11\theta^2+11\theta+3)-z^{2}\left(1049\theta^4+4100\theta^3+5689\theta^2+3178\theta+640\right)+2^{3}\ z^{3}\left(77\theta^4-462\theta^3-1420\theta^2-1053\theta-252\right)+2^{4}\ z^{4}\left(1041\theta^4+2082\theta^3-1406\theta^2-2447\theta-746\right)+2^{6}\ z^{5}\left(77\theta^4+770\theta^3+428\theta^2-93\theta-80\right)-2^{6}\ z^{6}\left(1049\theta^4+96\theta^3-317\theta^2+96\theta+100\right)-2^{9}\ z^{7}(7\theta^2+7\theta+2)(11\theta^2+11\theta+3)+2^{12}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z(10\theta^2+10\theta+3)(7\theta^2+7\theta+2)-z^{2}\left(71\theta^4+1148\theta^3+1591\theta^2+886\theta+192\right)-2^{3}\ 3^{2}\ z^{3}\left(70\theta^4-420\theta^3-1289\theta^2-963\theta-240\right)-2^{4}\ 3^{2}\ z^{4}\left(143\theta^4+286\theta^3-1138\theta^2-1281\theta-414\right)+2^{6}\ 3^{4}\ z^{5}\left(70\theta^4+700\theta^3+391\theta^2-75\theta-76\right)-2^{6}\ 3^{4}\ z^{6}\left(71\theta^4-864\theta^3-1427\theta^2-864\theta-180\right)+2^{9}\ 3^{6}\ z^{7}(10\theta^2+10\theta+3)(7\theta^2+7\theta+2)+2^{12}\ 3^{8}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-3\ z(3\theta^2+3\theta+1)(7\theta^2+7\theta+2)+3^{2}\ z^{2}\left(171\theta^4+396\theta^3+555\theta^2+318\theta+64\right)-2^{3}\ 3^{4}\ z^{3}\left(21\theta^4-126\theta^3-386\theta^2-291\theta-76\right)+2^{4}\ 3^{5}\ z^{4}\left(147\theta^4+294\theta^3+102\theta^2-45\theta-14\right)+2^{6}\ 3^{7}\ z^{5}\left(21\theta^4+210\theta^3+118\theta^2-19\theta-24\right)+2^{6}\ 3^{8}\ z^{6}\left(171\theta^4+288\theta^3+393\theta^2+288\theta+76\right)+2^{9}\ 3^{10}\ z^{7}(3\theta^2+3\theta+1)(7\theta^2+7\theta+2)+2^{12}\ 3^{12}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z(7\theta^2+7\theta+2)(17\theta^2+17\theta+6)+2^{6}\ z^{2}\left(55\theta^4+112\theta^3+155\theta^2+86\theta+15\right)-2^{6}\ 3^{2}\ z^{3}\left(119\theta^4-714\theta^3-2185\theta^2-1656\theta-444\right)+2^{12}\ 3^{2}\ z^{4}\left(92\theta^4+184\theta^3+98\theta^2+6\theta+9\right)+2^{12}\ 3^{4}\ z^{5}\left(119\theta^4+1190\theta^3+671\theta^2-96\theta-140\right)+2^{18}\ 3^{4}\ z^{6}\left(55\theta^4+108\theta^3+149\theta^2+108\theta+27\right)+2^{18}\ 3^{6}\ z^{7}(7\theta^2+7\theta+2)(17\theta^2+17\theta+6)+2^{24}\ 3^{8}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z(10\theta^2+10\theta+3)(11\theta^2+11\theta+3)+z^{2}\left(1025\theta^4+3992\theta^3+5533\theta^2+3082\theta+615\right)-3^{2}\ z^{3}\left(110\theta^4-660\theta^3-2027\theta^2-1509\theta-369\right)+3^{2}\ z^{4}\left(2032\theta^4+4064\theta^3-2726\theta^2-4758\theta-1431\right)+3^{4}\ z^{5}\left(110\theta^4+1100\theta^3+613\theta^2-125\theta-117\right)+3^{4}\ z^{6}\left(1025\theta^4+108\theta^3-293\theta^2+108\theta+99\right)+3^{6}\ z^{7}(10\theta^2+10\theta+3)(11\theta^2+11\theta+3)+3^{8}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(3\theta^2+3\theta+1)(11\theta^2+11\theta+3)+2^{4}\ z^{2}\left(241\theta^4+940\theta^3+1303\theta^2+726\theta+145\right)-2^{7}\ z^{3}\left(33\theta^4-198\theta^3-607\theta^2-456\theta-117\right)+2^{10}\ z^{4}\left(239\theta^4+478\theta^3-322\theta^2-561\theta-169\right)+2^{12}\ z^{5}\left(33\theta^4+330\theta^3+185\theta^2-32\theta-37\right)+2^{14}\ z^{6}\left(241\theta^4+24\theta^3-71\theta^2+24\theta+23\right)+2^{17}\ z^{7}(3\theta^2+3\theta+1)(11\theta^2+11\theta+3)+2^{20}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z(11\theta^2+11\theta+3)(17\theta^2+17\theta+6)+z^{2}\left(8711\theta^4+33980\theta^3+47095\theta^2+26230\theta+5232\right)-2^{3}\ 3^{2}\ z^{3}\left(187\theta^4-1122\theta^3-3436\theta^2-2595\theta-684\right)+2^{4}\ 3^{2}\ z^{4}\left(8639\theta^4+17278\theta^3-11650\theta^2-20289\theta-6102\right)+2^{6}\ 3^{4}\ z^{5}\left(187\theta^4+1870\theta^3+1052\theta^2-163\theta-216\right)+2^{6}\ 3^{4}\ z^{6}\left(8711\theta^4+864\theta^3-2579\theta^2+864\theta+828\right)+2^{9}\ 3^{6}\ z^{7}(11\theta^2+11\theta+3)(17\theta^2+17\theta+6)+2^{12}\ 3^{8}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{2}\ z(3\theta^2+3\theta+1)(10\theta^2+10\theta+3)+2^{4}\ z^{2}\left(209\theta^4+1052\theta^3+1471\theta^2+838\theta+183\right)+2^{7}\ 3^{2}\ z^{3}\left(30\theta^4-180\theta^3-551\theta^2-417\theta-111\right)-2^{10}\ 3^{2}\ z^{4}\left(227\theta^4+454\theta^3-550\theta^2-777\theta-261\right)+2^{12}\ 3^{4}\ z^{5}\left(30\theta^4+300\theta^3+169\theta^2-25\theta-35\right)+2^{14}\ 3^{4}\ z^{6}\left(209\theta^4-216\theta^3-431\theta^2-216\theta-27\right)-2^{17}\ 3^{6}\ z^{7}(3\theta^2+3\theta+1)(10\theta^2+10\theta+3)+2^{20}\ 3^{8}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-3\ z(3\theta^2+3\theta+1)(10\theta^2+10\theta+3)+3^{3}\ z^{2}\left(91\theta^4+472\theta^3+659\theta^2+374\theta+81\right)+3^{6}\ z^{3}\left(30\theta^4-180\theta^3-551\theta^2-417\theta-111\right)-3^{8}\ z^{4}\left(200\theta^4+400\theta^3-514\theta^2-714\theta-237\right)+3^{11}\ z^{5}\left(30\theta^4+300\theta^3+169\theta^2-25\theta-35\right)+3^{13}\ z^{6}\left(91\theta^4-108\theta^3-211\theta^2-108\theta-15\right)-3^{16}\ z^{7}(3\theta^2+3\theta+1)(10\theta^2+10\theta+3)+3^{20}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{2}\ 3\ z\left((3\theta^2+3\theta+1)^2\right)+2^{4}\ 3^{2}\ z^{2}\left(21\theta^4+156\theta^3+219\theta^2+126\theta+29\right)+2^{7}\ 3^{4}\ z^{3}(3\theta^2+3\theta+1)(3\theta^2-21\theta-35)-2^{10}\ 3^{5}\ z^{4}\left(27\theta^4+54\theta^3-114\theta^2-141\theta-49\right)+2^{12}\ 3^{7}\ z^{5}(3\theta^2+3\theta+1)(3\theta^2+27\theta-11)+2^{14}\ 3^{8}\ z^{6}\left(21\theta^4-72\theta^3-123\theta^2-72\theta-13\right)-2^{17}\ 3^{10}\ z^{7}\left((3\theta^2+3\theta+1)^2\right)+2^{20}\ 3^{12}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-3\ z(3\theta^2+3\theta+1)(17\theta^2+17\theta+6)+3^{3}\ z^{2}\left(217\theta^4+1732\theta^3+2441\theta^2+1418\theta+336\right)+2^{3}\ 3^{6}\ z^{3}\left(51\theta^4-306\theta^3-934\theta^2-717\theta-204\right)-2^{4}\ 3^{8}\ z^{4}\left(289\theta^4+578\theta^3-1310\theta^2-1599\theta-570\right)+2^{6}\ 3^{11}\ z^{5}\left(51\theta^4+510\theta^3+290\theta^2-29\theta-64\right)+2^{6}\ 3^{13}\ z^{6}\left(217\theta^4-864\theta^3-1453\theta^2-864\theta-156\right)-2^{9}\ 3^{16}\ z^{7}(3\theta^2+3\theta+1)(17\theta^2+17\theta+6)+2^{12}\ 3^{20}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=47^{2}\ \theta^4-47\ z\left(2489\theta^4+4984\theta^3+4043\theta^2+1551\theta+235\right)-z^{2}\left(208867\theta^4+790072\theta^3+1135848\theta^2+701851\theta+161022\right)+z^{3}\left(370857\theta^4+637644\theta^3+383912\theta^2+149319\theta+38352\right)+z^{4}\left(291161\theta^4-511820\theta^3-4424049\theta^2-5161283\theta-1770676\right)-z^{5}\left(406192\theta^4+749482\theta^3+750755\theta^2+260936\theta-2151\right)+3^{3}\ z^{6}\left(5305\theta^4+90750\theta^3+152551\theta^2+91194\theta+17914\right)+2\ 3^{6}\ z^{7}\left(106\theta^4+230\theta^3+197\theta^2+82\theta+15\right)-2^{2}\ 3^{10}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=2^{2}\ \theta^4-2\ z\left(106\theta^4+194\theta^3+143\theta^2+46\theta+6\right)-3\ z^{2}\left(5305\theta^4-69530\theta^3-87869\theta^2-37122\theta-6174\right)+3^{2}\ z^{3}\left(406192\theta^4+875286\theta^3+939461\theta^2+616896\theta+144378\right)-3^{6}\ z^{4}\left(291161\theta^4+1676464\theta^3-1141623\theta^2-986711\theta-230461\right)-3^{10}\ z^{5}\left(370857\theta^4+845784\theta^3+696122\theta^2+189001\theta+6158\right)+3^{14}\ z^{6}\left(208867\theta^4+45396\theta^3+18834\theta^2+35097\theta+13814\right)+3^{18}\ 47\ z^{7}\left(2489\theta^4+4972\theta^3+4025\theta^2+1539\theta+232\right)-3^{22}\ 47^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=17^{2}\ \theta^4-2\ 17\ z\left(647\theta^4+1240\theta^3+977\theta^2+357\theta+51\right)-2^{2}\ z^{2}\left(14437\theta^4+89752\theta^3+147734\theta^2+92123\theta+20400\right)+2^{2}\ 3\ z^{3}\left(21538\theta^4+25680\theta^3-41979\theta^2-56151\theta-17442\right)+2^{3}\ z^{4}\left(51920\theta^4+166384\theta^3-83149\theta^2-217017\theta-79362\right)-2^{4}\ 3\ z^{5}\left(9360\theta^4-26784\theta^3-43813\theta^2-21965\theta-3496\right)-2^{5}\ 3\ z^{6}\left(10160\theta^4-96\theta^3-10535\theta^2-5385\theta-438\right)-2^{8}\ 3^{2}\ z^{7}\left(288\theta^4+864\theta^3+1082\theta^2+641\theta+147\right)-2^{11}\ 3^{2}\ z^{8}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=2^{2}\ 19^{2}\ \theta^4-2\ 19\ z\left(3014\theta^4+5878\theta^3+4725\theta^2+1786\theta+266\right)+z^{2}\left(689717\theta^4+2305502\theta^3+3057079\theta^2+1810054\theta+402002\right)-z^{3}\left(1438808\theta^4+5812350\theta^3+9142457\theta^2+6295992\theta+1576582\right)+z^{4}\left(1395491\theta^4+5075392\theta^3+6297445\theta^2+3375833\theta+663471\right)-z^{5}\left(834163\theta^4+2657224\theta^3+2407768\theta^2+604005\theta-52928\right)+z^{6}\left(277543\theta^4+692484\theta^3+572576\theta^2+148359\theta-4832\right)-11\ z^{7}\left(4625\theta^4+9100\theta^3+6395\theta^2+1845\theta+178\right)-11^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=11^{2}\ \theta^4+11\ z\left(4625\theta^4+9400\theta^3+6845\theta^2+2145\theta+253\right)-z^{2}\left(277543\theta^4+417688\theta^3+160382\theta^2+29513\theta+4444\right)+z^{3}\left(834163\theta^4+679428\theta^3-558926\theta^2-423489\theta-72226\right)-z^{4}\left(1395491\theta^4+506572\theta^3-555785\theta^2-425155\theta-94818\right)+z^{5}\left(1438808\theta^4-57118\theta^3+338255\theta^2+307104\theta+49505\right)-z^{6}\left(689717\theta^4+453366\theta^3+278875\theta^2+146466\theta+33242\right)+2\ 19\ z^{7}\left(3014\theta^4+6178\theta^3+5175\theta^2+2086\theta+341\right)-2^{2}\ 19^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-3^{2}\ z\left(38\theta^4+82\theta^3+67\theta^2+26\theta+4\right)-3\ z^{2}\left(2045\theta^4+5702\theta^3+7535\theta^2+4170\theta+852\right)+2^{3}\ 3\ z^{3}\left(2208\theta^4+5925\theta^3+7925\theta^2+5607\theta+1512\right)+2^{3}\ z^{4}\left(60287\theta^4+56374\theta^3-215983\theta^2-268986\theta-85452\right)-2^{4}\ z^{5}\left(205651\theta^4+605608\theta^3+603579\theta^2+204622\theta+8104\right)-2^{7}\ z^{6}\left(51414\theta^4-273267\theta^3-502700\theta^2-305649\theta-63398\right)+2^{8}\ 37\ z^{7}\left(7909\theta^4+18122\theta^3+17595\theta^2+8462\theta+1672\right)-2^{13}\ 37^{2}\ z^{8}(4\theta+3)(\theta+1)^2(4\theta+5)\)

\(L(z,\theta)=11^{2}\ \theta^4-11\ z\left(1517\theta^4+3136\theta^3+2393\theta^2+825\theta+110\right)-z^{2}\left(90362\theta^4+207620\theta^3+202166\theta^2+106953\theta+24266\right)-z^{3}\left(245714\theta^4+507996\theta^3+415082\theta^2+217437\theta+53130\right)-z^{4}\left(407863\theta^4+785972\theta^3+564786\theta^2+183269\theta+15226\right)-z^{5}\left(434831\theta^4+790148\theta^3+728323\theta^2+279826\theta+25160\right)-2^{3}\ z^{6}\left(36361\theta^4+70281\theta^3+73343\theta^2+37947\theta+7644\right)-2^{4}\ 5\ z^{7}\left(1307\theta^4+3430\theta^3+3877\theta^2+2162\theta+488\right)-2^{9}\ 5^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4-5\ z\left(1307\theta^4+1798\theta^3+1429\theta^2+530\theta+80\right)+2^{4}\ z^{2}\left(36361\theta^4+75163\theta^3+80666\theta^2+43340\theta+9120\right)-2^{6}\ z^{3}\left(434831\theta^4+949176\theta^3+966865\theta^2+545700\theta+118340\right)+2^{11}\ z^{4}\left(407863\theta^4+845480\theta^3+654048\theta^2+219839\theta+18634\right)-2^{16}\ z^{5}\left(245714\theta^4+474860\theta^3+365378\theta^2+71595\theta-11507\right)+2^{21}\ z^{6}\left(90362\theta^4+153828\theta^3+121478\theta^2+35967\theta+2221\right)-2^{26}\ 11\ z^{7}\left(1517\theta^4+2932\theta^3+2087\theta^2+621\theta+59\right)-2^{31}\ 11^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=13^{2}\ \theta^4-13\ z\left(1505\theta^4+2746\theta^3+2127\theta^2+754\theta+104\right)+2^{2}\ z^{2}\left(22961\theta^4-2086\theta^3-55741\theta^2-41574\theta-9256\right)+2^{5}\ z^{3}\left(7524\theta^4+28098\theta^3+16131\theta^2+2691\theta-52\right)-2^{7}\ z^{4}\left(7241\theta^4+6214\theta^3+17522\theta^2+15423\theta+4146\right)-2^{8}\ z^{5}\left(6087\theta^4+1806\theta^3-3905\theta^2-3796\theta-1036\right)+2^{10}\ z^{6}\left(553\theta^4+4062\theta^3+4405\theta^2+1752\theta+220\right)+2^{14}\ z^{7}\left(82\theta^4+230\theta^3+275\theta^2+160\theta+37\right)+2^{18}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+z\left(82\theta^4+98\theta^3+77\theta^2+28\theta+4\right)+z^{2}\left(553\theta^4-1850\theta^3-4463\theta^2-2916\theta-636\right)-2^{2}\ z^{3}\left(6087\theta^4+22542\theta^3+27199\theta^2+14916\theta+3136\right)-2^{5}\ z^{4}\left(7241\theta^4+22750\theta^3+42326\theta^2+29943\theta+7272\right)+2^{7}\ z^{5}\left(7524\theta^4+1998\theta^3-23019\theta^2-24627\theta-7186\right)+2^{8}\ z^{6}\left(22961\theta^4+93930\theta^3+88283\theta^2+28194\theta+1624\right)-2^{10}\ 13\ z^{7}\left(1505\theta^4+3274\theta^3+2919\theta^2+1282\theta+236\right)+2^{14}\ 13^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=2^{4}\ \theta^4-2^{2}\ z\left(1282\theta^4+2618\theta^3+1909\theta^2+600\theta+72\right)-3^{2}\ z^{2}\left(9503\theta^4+26810\theta^3+31755\theta^2+15944\theta+2936\right)+3^{4}\ z^{3}\left(15627\theta^4-18288\theta^3-91412\theta^2-53256\theta-9688\right)+2\ 3^{6}\ z^{4}\left(15106\theta^4+20300\theta^3-20421\theta^2-23443\theta-5907\right)-2^{2}\ 3^{8}\ z^{5}\left(2072\theta^4-18256\theta^3-2563\theta^2+4626\theta+1495\right)-2^{2}\ 3^{10}\ z^{6}\left(6204\theta^4+360\theta^3-281\theta^2+1017\theta+434\right)-2^{5}\ 3^{12}\ z^{7}(2\theta+1)(100\theta^3+162\theta^2+95\theta+21)+2^{8}\ 3^{14}\ z^{8}(2\theta+1)(\theta+1)^2(2\theta+3)\)

\(L(z,\theta)=3^{2}\ \theta^4+3\ z\left(5\theta^4-122\theta^3-100\theta^2-39\theta-6\right)-z^{2}\left(8603\theta^4+32600\theta^3+41729\theta^2+23736\theta+5052\right)-2^{2}\ z^{3}\left(33304\theta^4+108297\theta^3+122347\theta^2+61470\theta+11712\right)-2^{2}\ z^{4}\left(180401\theta^4+547606\theta^3+638125\theta^2+339248\theta+69036\right)-2^{4}\ z^{5}\left(94934\theta^4+298745\theta^3+355667\theta^2+189660\theta+38224\right)-2^{4}\ z^{6}\left(73291\theta^4+204216\theta^3+190453\theta^2+68916\theta+6964\right)-2^{7}\ 3\ z^{7}\left(811\theta^4+1886\theta^3+1804\theta^2+861\theta+174\right)-2^{10}\ 3^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-3\ z\left(811\theta^4+1358\theta^3+1012\theta^2+333\theta+42\right)+z^{2}\left(73291\theta^4+88948\theta^3+17551\theta^2-7494\theta-2424\right)-2^{3}\ z^{3}\left(94934\theta^4+80991\theta^3+29036\theta^2+5175\theta+420\right)+2^{4}\ z^{4}\left(180401\theta^4+173998\theta^3+77713\theta^2+15788\theta+708\right)-2^{7}\ z^{5}\left(33304\theta^4+24919\theta^3-2720\theta^2-8451\theta-2404\right)+2^{8}\ z^{6}\left(8603\theta^4+1812\theta^3-4453\theta^2-3666\theta-952\right)+2^{11}\ 3\ z^{7}\left(5\theta^4+142\theta^3+296\theta^2+225\theta+60\right)-2^{14}\ 3^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=13^{2}\ \theta^4-13\ z\theta(56\theta^3+178\theta^2+115\theta+26)-z^{2}\left(28466\theta^4+109442\theta^3+165603\theta^2+117338\theta+32448\right)-z^{3}\left(233114\theta^4+1257906\theta^3+2622815\theta^2+2467842\theta+872352\right)-z^{4}\left(989585\theta^4+6852298\theta^3+17737939\theta^2+19969754\theta+8108448\right)-z^{5}(\theta+1)(2458967\theta^3+18007287\theta^2+44047582\theta+35386584)-3^{2}\ z^{6}(\theta+1)(\theta+2)(393163\theta^2+2539029\theta+4164444)-3^{3}\ 11\ z^{7}(\theta+3)(\theta+2)(\theta+1)(8683\theta+34604)-3^{3}\ 11^{2}\ 13\ 17\ z^{8}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

\(L(z,\theta)=11^{2}\ \theta^4+3\ 11\ z\left(113\theta^4+184\theta^3+158\theta^2+66\theta+11\right)+2\ z^{2}\left(28397\theta^4+95138\theta^3+128420\theta^2+77715\theta+17622\right)-3\ z^{3}\left(3165\theta^4+180822\theta^3+560611\theta^2+539022\theta+167508\right)-3\ z^{4}\left(233330\theta^4+1052614\theta^3+1424797\theta^2+774518\theta+145896\right)-3^{2}\ z^{5}\left(12866\theta^4-98902\theta^3-52127\theta^2+102028\theta+63723\right)+3^{2}\ z^{6}\left(183763\theta^4+473778\theta^3+427847\theta^2+147060\theta+11268\right)-2^{3}\ 3^{3}\ z^{7}\left(5006\theta^4+13414\theta^3+14935\theta^2+8228\theta+1869\right)+2^{6}\ 3^{7}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=2^{6}\ \theta^4-2^{3}\ z\left(5006\theta^4+6610\theta^3+4729\theta^2+1424\theta+168\right)+3^{3}\ z^{2}\left(183763\theta^4+261274\theta^3+109091\theta^2+22352\theta+2040\right)-3^{7}\ z^{3}\left(12866\theta^4+150366\theta^3+321775\theta^2+141888\theta+21336\right)-3^{10}\ z^{4}\left(233330\theta^4-119294\theta^3-333065\theta^2-149446\theta-23109\right)-3^{14}\ z^{5}\left(3165\theta^4-168162\theta^3+37135\theta^2+52394\theta+11440\right)+2\ 3^{17}\ z^{6}\left(28397\theta^4+18450\theta^3+13388\theta^2+7299\theta+1586\right)+3^{22}\ 11\ z^{7}\left(113\theta^4+268\theta^3+284\theta^2+150\theta+32\right)+3^{25}\ 11^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4-2^{2}\ 3^{2}\ z\left(23\theta^4+58\theta^3+44\theta^2+15\theta+2\right)-2^{5}\ 3\ z^{2}\left(254\theta^4+662\theta^3+623\theta^2+309\theta+66\right)-2^{8}\ 3\ z^{3}\left(569\theta^4+1092\theta^3+602\theta^2+285\theta+78\right)-2^{11}\ z^{4}\left(2266\theta^4+4076\theta^3+2167\theta^2+537\theta+18\right)-2^{16}\ z^{5}\left(519\theta^4+798\theta^3+821\theta^2+391\theta+62\right)-2^{19}\ z^{6}\left(305\theta^4+558\theta^3+625\theta^2+360\theta+82\right)-2^{24}\ z^{7}\left(26\theta^4+70\theta^3+83\theta^2+48\theta+11\right)-2^{29}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{2}\ z\left(26\theta^4+34\theta^3+29\theta^2+12\theta+2\right)+2^{4}\ z^{2}\left(305\theta^4+662\theta^3+781\theta^2+436\theta+94\right)+2^{8}\ z^{3}\left(519\theta^4+1278\theta^3+1541\theta^2+933\theta+213\right)+2^{10}\ z^{4}\left(2266\theta^4+4988\theta^3+3535\theta^2+633\theta-162\right)+2^{14}\ 3\ z^{5}\left(569\theta^4+1184\theta^3+740\theta^2-81\theta-128\right)+2^{18}\ 3\ z^{6}\left(254\theta^4+354\theta^3+161\theta^2-33\theta-28\right)+2^{22}\ 3^{2}\ z^{7}\left(23\theta^4+34\theta^3+8\theta^2-9\theta-4\right)-2^{27}\ 3^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=7^{2}\ \theta^4-2\ 7\ z\left(452\theta^4+640\theta^3+509\theta^2+189\theta+28\right)+2^{2}\ z^{2}\left(47156\theta^4+78224\theta^3+63963\theta^2+31010\theta+7000\right)-2^{5}\ z^{3}\left(77224\theta^4+150936\theta^3+155876\theta^2+86751\theta+19838\right)+2^{8}\ z^{4}\left(65988\theta^4+160584\theta^3+193653\theta^2+117501\theta+28198\right)-2^{12}\ z^{5}\left(15712\theta^4+46888\theta^3+63382\theta^2+41163\theta+10338\right)+2^{16}\ z^{6}\left(2088\theta^4+7272\theta^3+10589\theta^2+7140\theta+1828\right)-2^{22}\ z^{7}\left(36\theta^4+138\theta^3+206\theta^2+137\theta+34\right)+2^{26}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{5}\ z\left(36\theta^4+6\theta^3+8\theta^2+5\theta+1\right)+2^{8}\ z^{2}\left(2088\theta^4+1080\theta^3+1301\theta^2+574\theta+93\right)-2^{13}\ z^{3}\left(15712\theta^4+15960\theta^3+16990\theta^2+7785\theta+1381\right)+2^{18}\ z^{4}\left(65988\theta^4+103368\theta^3+107829\theta^2+52005\theta+9754\right)-2^{24}\ z^{5}\left(77224\theta^4+157960\theta^3+166412\theta^2+81089\theta+15251\right)+2^{30}\ z^{6}\left(47156\theta^4+110400\theta^3+112227\theta^2+50868\theta+8885\right)-2^{38}\ 7\ z^{7}\left(452\theta^4+1168\theta^3+1301\theta^2+717\theta+160\right)+2^{46}\ 7^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4+2^{2}\ 5\ z\left(19\theta^4+86\theta^3+73\theta^2+30\theta+5\right)+2^{4}\ z^{2}\left(709\theta^4+4252\theta^3+7339\theta^2+4830\theta+1165\right)-2^{8}\ z^{3}\left(420\theta^4+114\theta^3-3294\theta^2-3960\theta-1325\right)-2^{10}\ z^{4}\left(949\theta^4+6782\theta^3+11350\theta^2+7719\theta+1889\right)+2^{12}\ z^{5}\left(1315\theta^4+4282\theta^3+7199\theta^2+5744\theta+1691\right)+2^{14}\ z^{6}\left(613\theta^4+1560\theta^3+973\theta^2-216\theta-249\right)+2^{18}\ z^{7}\left(11\theta^4-2\theta^3-40\theta^2-39\theta-11\right)-2^{20}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{5}\ z\left(11\theta^4+46\theta^3+32\theta^2+9\theta+1\right)-2^{8}\ z^{2}\left(613\theta^4+892\theta^3-29\theta^2-66\theta-7\right)-2^{13}\ z^{3}\left(1315\theta^4+978\theta^3+2243\theta^2+1068\theta+179\right)+2^{18}\ z^{4}\left(949\theta^4-2986\theta^3-3302\theta^2-1569\theta-313\right)+2^{23}\ z^{5}\left(420\theta^4+1566\theta^3-1116\theta^2-1290\theta-353\right)-2^{26}\ z^{6}\left(709\theta^4-1416\theta^3-1163\theta^2-72\theta+131\right)-2^{31}\ 5\ z^{7}\left(19\theta^4-10\theta^3-71\theta^2-66\theta-19\right)-2^{36}\ 5^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{4}\ \theta^4-3^{3}\ z\left(367\theta^4+398\theta^3+295\theta^2+96\theta+12\right)-2^{4}\ 3^{3}\ z^{2}\left(200\theta^4+2081\theta^3+3614\theta^2+2009\theta+392\right)+2^{6}\ 3\ z^{3}\left(72449\theta^4+102684\theta^3-48579\theta^2-77922\theta-22536\right)+2^{10}\ z^{4}\left(109873\theta^4+619970\theta^3+56260\theta^2-219027\theta-78216\right)-2^{14}\ 7\ z^{5}\left(40669\theta^4-18266\theta^3-36570\theta^2-16190\theta-1955\right)-2^{17}\ 7\ z^{6}\left(80805\theta^4+76590\theta^3+51265\theta^2+23076\theta+4780\right)-2^{24}\ 7^{2}\ z^{7}\left(437\theta^4+1117\theta^3+1236\theta^2+664\theta+140\right)-2^{29}\ 3\ 7^{2}\ z^{8}(\theta+1)^2(3\theta+2)(3\theta+4)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(176\theta^4-32\theta^3+4\theta^2+20\theta+5\right)+2^{12}\ z^{2}\left(640\theta^4+256\theta^3+680\theta^2+224\theta+27\right)+2^{22}\ z^{3}\left(220\theta^4+648\theta^3+596\theta^2+348\theta+85\right)+2^{30}\ z^{4}\left(116\theta^4+1024\theta^3+1608\theta^2+1072\theta+281\right)-2^{38}\ z^{5}\left(32\theta^4-448\theta^3-1588\theta^2-1404\theta-437\right)-2^{46}\ z^{6}\left(80\theta^4+288\theta^3-88\theta^2-384\theta-179\right)-2^{57}\ z^{7}\left(2\theta^4+28\theta^3+56\theta^2+42\theta+11\right)+2^{66}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{5}\ z\left(2\theta^4-20\theta^3-16\theta^2-6\theta-1\right)-2^{8}\ z^{2}\left(80\theta^4+32\theta^3-472\theta^2-336\theta-91\right)-2^{14}\ z^{3}\left(32\theta^4+576\theta^3-52\theta^2-300\theta-141\right)+2^{20}\ z^{4}\left(116\theta^4-560\theta^3-768\theta^2-464\theta-91\right)+2^{26}\ z^{5}\left(220\theta^4+232\theta^3-28\theta^2-220\theta-95\right)+2^{30}\ z^{6}\left(640\theta^4+2304\theta^3+3752\theta^2+2928\theta+867\right)+2^{36}\ z^{7}\left(176\theta^4+736\theta^3+1156\theta^2+788\theta+197\right)+2^{46}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(34\theta^4+44\theta^3+31\theta^2+9\theta+1\right)+2^{9}\ z^{2}\left(94\theta^4-14\theta^3-168\theta^2-98\theta-19\right)-2^{12}\ z^{3}\left(368\theta^4-1104\theta^3-1505\theta^2-549\theta-60\right)+2^{16}\ z^{4}\left(28\theta^4-2740\theta^3-154\theta^2+928\theta+331\right)+2^{20}\ z^{5}\left(678\theta^4+1116\theta^3-2997\theta^2-2295\theta-505\right)-2^{26}\ z^{6}\left(94\theta^4-561\theta^3-508\theta^2-132\theta+6\right)-2^{28}\ 5\ z^{7}\left(92\theta^4+160\theta^3+97\theta^2+17\theta-2\right)-2^{32}\ 5^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4+2^{2}\ 5\ z\left(92\theta^4+208\theta^3+169\theta^2+65\theta+10\right)+2^{6}\ z^{2}\left(94\theta^4+937\theta^3+1739\theta^2+1175\theta+285\right)-2^{6}\ z^{3}\left(678\theta^4+1596\theta^3-2277\theta^2-4335\theta-1645\right)-2^{8}\ z^{4}\left(28\theta^4+2852\theta^3+8234\theta^2+7096\theta+2017\right)+2^{10}\ z^{5}\left(368\theta^4+2576\theta^3+4015\theta^2+2323\theta+456\right)-2^{13}\ z^{6}\left(94\theta^4+390\theta^3+438\theta^2+180\theta+19\right)+2^{14}\ z^{7}\left(34\theta^4+92\theta^3+103\theta^2+57\theta+13\right)-2^{16}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-z\left(1114\theta^4+2444\theta^3+1704\theta^2+482\theta+51\right)-z^{2}\left(85922\theta^4+94748\theta^3-21782\theta^2-21164\theta-3273\right)-3^{2}\ z^{3}\left(173242\theta^4+41004\theta^3+55912\theta^2+32322\theta+5679\right)+3^{2}\ z^{4}\left(189512\theta^4-918380\theta^3-841954\theta^2-306732\theta-47331\right)+3^{4}\ z^{5}\left(30338\theta^4+90716\theta^3-87560\theta^2-90566\theta-23193\right)-3^{4}\ z^{6}\left(19406\theta^4-68364\theta^3-62162\theta^2-14148\theta+1989\right)-3^{6}\ 5\ z^{7}\left(278\theta^4+340\theta^3+8\theta^2-162\theta-63\right)-3^{8}\ 5^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4+5\ z\left(278\theta^4+772\theta^3+656\theta^2+270\theta+45\right)+z^{2}\left(19406\theta^4+145988\theta^3+259366\theta^2+172540\theta+41745\right)-3^{2}\ z^{3}\left(30338\theta^4+30636\theta^3-177680\theta^2-235350\theta-80565\right)-3^{2}\ z^{4}\left(189512\theta^4+1676428\theta^3+3050258\theta^2+2136012\theta+525339\right)+3^{4}\ z^{5}\left(173242\theta^4+651964\theta^3+972352\theta^2+649458\theta+161507\right)+3^{4}\ z^{6}\left(85922\theta^4+248940\theta^3+209506\theta^2+37044\theta-12717\right)+3^{6}\ z^{7}\left(1114\theta^4+2012\theta^3+1056\theta^2+50\theta-57\right)-3^{8}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+z\left(578\theta^4-572\theta^3-359\theta^2-73\theta-6\right)+3^{2}\ z^{2}\left(4673\theta^4+1892\theta^3+31601\theta^2+11514\theta+1728\right)-2^{3}\ 3^{4}\ z^{3}\left(9185\theta^4-134298\theta^3-35420\theta^2-22329\theta-5544\right)+2^{4}\ 3^{8}\ z^{4}\left(19051\theta^4+11846\theta^3+114678\theta^2+65939\theta+14290\right)-2^{6}\ 3^{12}\ z^{5}\left(7540\theta^4+8068\theta^3-6459\theta^2-7907\theta-2300\right)-2^{6}\ 3^{16}\ z^{6}\left(3919\theta^4+27744\theta^3+29957\theta^2+14208\theta+2556\right)+2^{9}\ 3^{20}\ 5\ z^{7}\left(199\theta^4+590\theta^3+744\theta^2+449\theta+106\right)-2^{12}\ 3^{24}\ 5^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4-5\ z\left(199\theta^4+206\theta^3+168\theta^2+65\theta+10\right)+z^{2}\left(3919\theta^4-12068\theta^3-29761\theta^2-21850\theta-5520\right)+2^{3}\ z^{3}\left(7540\theta^4+22092\theta^3+14577\theta^2+945\theta-1380\right)-2^{4}\ z^{4}\left(19051\theta^4+64358\theta^3+193446\theta^2+204083\theta+70234\right)+2^{6}\ z^{5}\left(9185\theta^4+171038\theta^3+422584\theta^2+391123\theta+124848\right)-2^{6}\ 3^{2}\ z^{6}\left(4673\theta^4+16800\theta^3+53963\theta^2+64704\theta+24596\right)-2^{9}\ 3^{4}\ z^{7}\left(578\theta^4+2884\theta^3+4825\theta^2+3383\theta+858\right)-2^{12}\ 3^{8}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(32\theta^4+16\theta^3+14\theta^2+6\theta+1\right)+2^{10}\ z^{2}\left(86\theta^4+176\theta^3+184\theta^2+76\theta+13\right)-2^{16}\ z^{3}\left(61\theta^4+510\theta^3+620\theta^2+327\theta+68\right)-2^{22}\ z^{4}\left(110\theta^4-260\theta^3-942\theta^2-608\theta-141\right)+2^{26}\ z^{5}\left(708\theta^4+2160\theta^3-666\theta^2-1230\theta-397\right)+2^{32}\ z^{6}\left(134\theta^4-1536\theta^3-1488\theta^2-492\theta-29\right)-2^{38}\ 5\ z^{7}\left(73\theta^4+170\theta^3+168\theta^2+83\theta+17\right)-2^{44}\ 5^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4+2^{2}\ 5\ z\left(73\theta^4+122\theta^3+96\theta^2+35\theta+5\right)-2^{4}\ z^{2}\left(134\theta^4+2072\theta^3+3924\theta^2+2660\theta+645\right)-2^{6}\ z^{3}\left(708\theta^4+672\theta^3-2898\theta^2-3750\theta-1285\right)+2^{10}\ z^{4}\left(110\theta^4+700\theta^3+498\theta^2-56\theta-105\right)+2^{12}\ z^{5}\left(61\theta^4-266\theta^3-544\theta^2-373\theta-88\right)-2^{14}\ z^{6}\left(86\theta^4+168\theta^3+172\theta^2+108\theta+31\right)+2^{16}\ z^{7}\left(32\theta^4+112\theta^3+158\theta^2+102\theta+25\right)-2^{20}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{2}\ z\left(12\theta^4-24\theta^3-23\theta^2-11\theta-2\right)-2^{7}\ z^{2}\left(32\theta^4+392\theta^3+484\theta^2+223\theta+41\right)+2^{12}\ z^{3}\left(31\theta^4-30\theta^3-872\theta^2-801\theta-217\right)-2^{16}\ 3\ z^{4}\left(140\theta^4+60\theta^3-1332\theta^2-971\theta-231\right)-2^{20}\ z^{5}\left(772\theta^4+7960\theta^3+7483\theta^2+1509\theta-266\right)+2^{26}\ z^{6}\left(46\theta^4+2766\theta^3+2333\theta^2+672\theta+19\right)-2^{30}\ 5\ z^{7}\left(477\theta^4+930\theta^3+697\theta^2+232\theta+28\right)-2^{36}\ 5^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4+5\ z\left(477\theta^4+978\theta^3+769\theta^2+280\theta+40\right)-2^{2}\ z^{2}\left(46\theta^4-2582\theta^3-5689\theta^2-4120\theta-1040\right)+2^{2}\ z^{3}\left(772\theta^4-4872\theta^3-11765\theta^2-7335\theta-1480\right)+2^{4}\ 3\ z^{4}\left(140\theta^4+500\theta^3-672\theta^2-1313\theta-512\right)-2^{6}\ z^{5}\left(31\theta^4+154\theta^3-596\theta^2-729\theta-227\right)+2^{7}\ z^{6}\left(32\theta^4-264\theta^3-500\theta^2-303\theta-58\right)+2^{8}\ z^{7}\left(12\theta^4+72\theta^3+121\theta^2+85\theta+22\right)-2^{12}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4-2^{4}\ z\left(19\theta^4+26\theta^3+20\theta^2+7\theta+1\right)+2^{9}\ z^{2}\left(61\theta^4+94\theta^3+89\theta^2+47\theta+10\right)-2^{14}\ z^{3}\left(134\theta^4+156\theta^3+37\theta^2+18\theta+6\right)+2^{19}\ z^{4}\left(192\theta^4+216\theta^3+58\theta^2-32\theta-17\right)-2^{24}\ z^{5}\left(191\theta^4+158\theta^3+183\theta^2+68\theta+6\right)+2^{29}\ z^{6}\left(125\theta^4+138\theta^3+135\theta^2+72\theta+16\right)-2^{35}\ z^{7}\left(20\theta^4+46\theta^3+47\theta^2+24\theta+5\right)+2^{41}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=3^{2}\ \theta^4+2^{2}\ 3\ z\left(148\theta^4+248\theta^3+223\theta^2+99\theta+18\right)+2^{7}\ z^{2}\left(1124\theta^4+3080\theta^3+4211\theta^2+2709\theta+675\right)+2^{12}\ z^{3}\left(1684\theta^4+4872\theta^3+7059\theta^2+5373\theta+1530\right)+2^{17}\ z^{4}\left(1828\theta^4+4952\theta^3+5125\theta^2+2799\theta+599\right)+2^{23}\ z^{5}\left(720\theta^4+1992\theta^3+2102\theta^2+691\theta-13\right)+2^{29}\ z^{6}\left(200\theta^4+504\theta^3+669\theta^2+390\theta+83\right)+2^{35}\ z^{7}\left(40\theta^4+104\theta^3+118\theta^2+66\theta+15\right)+2^{43}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(40\theta^4+56\theta^3+46\theta^2+18\theta+3\right)+2^{10}\ z^{2}\left(200\theta^4+296\theta^3+357\theta^2+236\theta+58\right)+2^{16}\ z^{3}\left(720\theta^4+888\theta^3+446\theta^2+417\theta+126\right)+2^{22}\ z^{4}\left(1828\theta^4+2360\theta^3+1237\theta^2-93\theta-199\right)+2^{29}\ z^{5}\left(1684\theta^4+1864\theta^3+2547\theta^2+865\theta+28\right)+2^{36}\ z^{6}\left(1124\theta^4+1416\theta^3+1715\theta^2+969\theta+221\right)+2^{43}\ 3\ z^{7}\left(148\theta^4+344\theta^3+367\theta^2+195\theta+42\right)+2^{53}\ 3^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ \theta^4+5\ z\theta^2(107\theta^2-2\theta-1)+2^{2}\ z^{2}\left(2174\theta^4+5942\theta^3+8569\theta^2+5200\theta+1200\right)+2^{2}\ 3^{2}\ z^{3}\left(308\theta^4-4248\theta^3-17051\theta^2-16785\theta-5280\right)-2^{4}\ 3^{2}\ z^{4}\left(7060\theta^4+39500\theta^3+69820\theta^2+52851\theta+14688\right)-2^{6}\ 3^{4}\ z^{5}\left(881\theta^4+3974\theta^3+8648\theta^2+7983\theta+2581\right)+2^{7}\ 3^{4}\ z^{6}\left(1192\theta^4+2376\theta^3-1132\theta^2-4185\theta-1926\right)+2^{8}\ 3^{6}\ z^{7}\left(68\theta^4+568\theta^3+1095\theta^2+811\theta+210\right)-2^{12}\ 3^{8}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{2}\ z\left(68\theta^4-296\theta^3-201\theta^2-53\theta-6\right)-2^{7}\ z^{2}\left(1192\theta^4+2392\theta^3-1108\theta^2-439\theta-57\right)-2^{12}\ 3^{2}\ z^{3}\left(881\theta^4-450\theta^3+2012\theta^2+915\theta+153\right)+2^{16}\ 3^{2}\ z^{4}\left(7060\theta^4-11260\theta^3-6320\theta^2-3471\theta-783\right)+2^{20}\ 3^{4}\ z^{5}\left(308\theta^4+5480\theta^3-2459\theta^2-3341\theta-990\right)-2^{26}\ 3^{4}\ z^{6}\left(2174\theta^4+2754\theta^3+3787\theta^2+2808\theta+801\right)+2^{30}\ 3^{6}\ 5\ z^{7}(107\theta^2+216\theta+108)(\theta+1)^2-2^{36}\ 3^{8}\ 5^{2}\ z^{8}\left((\theta+1)^4\right)\)

\(L(z,\theta)=7^{2}\ \theta^4+7\ z\theta(165\theta^3-102\theta^2-65\theta-14)-2^{3}\ z^{2}\left(920\theta^4+11726\theta^3+15277\theta^2+9478\theta+2352\right)-2^{4}\ 3^{2}\ z^{3}\left(4035\theta^4+19554\theta^3+29157\theta^2+20706\theta+5761\right)-2^{8}\ 3^{2}\ z^{4}\left(4156\theta^4+17951\theta^3+28198\theta^2+21045\theta+6096\right)-2^{11}\ 3^{3}\ z^{5}\left(1538\theta^4+6560\theta^3+10755\theta^2+8234\theta+2420\right)-2^{13}\ 3^{4}\ z^{6}\left(695\theta^4+3051\theta^3+5285\theta^2+4191\theta+1259\right)-2^{14}\ 3^{5}\ z^{7}\left(385\theta^4+1802\theta^3+3319\theta^2+2754\theta+855\right)-2^{18}\ 3^{6}\ z^{8}(\theta+1)^2(15\theta^2+48\theta+43)-2^{20}\ 3^{7}\ z^{9}(\theta+1)^2(\theta+2)^2\)

\(L(z,\theta)=7^{2}\ 13^{2}\ \theta^4-7\ 13\ z\left(2221\theta^4+4604\theta^3+3940\theta^2+1638\theta+273\right)-2\ z^{2}\left(275775\theta^4+850032\theta^3+1167211\theta^2+754481\theta+190918\right)+z^{3}\left(27353\theta^4-2489994\theta^3-6829166\theta^2-6586125\theta-2242968\right)-z^{4}\left(508804\theta^4+12063734\theta^3+40173426\theta^2+46728731\theta+18386820\right)+3\ z^{5}\left(33450\theta^4+319414\theta^3-766536\theta^2-1551527\theta-668977\right)+z^{6}\left(4076796\theta^4+28614978\theta^3+47526449\theta^2+26519901\theta+2892684\right)-2\ z^{7}\left(96271\theta^4+1136261\theta^3+4541506\theta^2+6411261\theta+2925345\right)-13\ z^{8}(\theta+1)(257369\theta^3+699321\theta^2+523184\theta+25156)+2^{2}\ 5\ 13^{2}\ z^{9}(\theta+1)(\theta+2)(227\theta^2+762\theta+681)-2^{2}\ 5^{2}\ 13^{3}\ z^{10}(\theta+1)(\theta+2)^2(\theta+3)\)

\(L(z,\theta)=2^{2}\ 3^{2}\ 17^{2}\ \theta^4-2\ 3\ 17\ z\theta(116\theta^3+1414\theta^2+911\theta+204)-z^{2}\left(2596259\theta^4+9892670\theta^3+14508941\theta^2+9947652\theta+2663424\right)-3\ z^{3}\left(8561767\theta^4+41744696\theta^3+79668236\theta^2+68977704\theta+22655832\right)-2^{2}\ z^{4}\left(28089475\theta^4+171762758\theta^3+396877187\theta^2+402013525\theta+149622901\right)-2\ z^{5}\left(127339346\theta^4+963856934\theta^3+2636877099\theta^2+3042828449\theta+1247694978\right)-z^{6}\left(283337071\theta^4+2758627602\theta^3+9101625228\theta^2+11995897911\theta+5385015134\right)-2\ z^{7}\left(43252385\theta^4+777895672\theta^3+3537873325\theta^2+5604936458\theta+2806067360\right)+2^{2}\ 3\ z^{8}(\theta+1)(7613560\theta^3+27844427\theta^2-51849552\theta-134696600)+z^{9}(\theta+1)(\theta+2)(60585089\theta^2+495871401\theta+595115780)-2^{3}\ 3\ 5^{2}\ z^{10}(\theta+3)(\theta+2)(\theta+1)(10279\theta-113205)-2^{4}\ 5^{4}\ 7\ 97\ z^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

\(L(z,\theta)=\theta^4+3\ z\left(60\theta^4+12\theta^3+19\theta^2+13\theta+3\right)+3^{3}\ z^{2}\left(463\theta^4+304\theta^3+405\theta^2+184\theta+27\right)+3^{5}\ z^{3}\left(1710\theta^4+2268\theta^3+2450\theta^2+1080\theta+153\right)+3^{7}\ z^{4}\left(2870\theta^4+5344\theta^3+4044\theta^2-188\theta-981\right)+3^{9}\ z^{5}\left(560\theta^4-4552\theta^3-20650\theta^2-29130\theta-13389\right)-3^{11}\ z^{6}\left(5114\theta^4+37440\theta^3+101098\theta^2+119700\theta+51219\right)-3^{13}\ z^{7}\left(6620\theta^4+48712\theta^3+130868\theta^2+152172\theta+63981\right)-3^{16}\ z^{8}(\theta+1)(83\theta^3-2739\theta^2-16257\theta-20563)+3^{17}\ z^{9}(\theta+1)(\theta+2)(4676\theta^2+42864\theta+94887)+3^{20}\ z^{10}(\theta+1)(\theta+2)(\theta+3)(505\theta+2522)+2\ 3^{23}\ 7\ z^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

\(L(z,\theta)=3^{2}\ \theta^4-3\ z\theta(20\theta^3+196\theta^2+125\theta+27)-z^{2}\left(19127\theta^4+69044\theta^3+89705\theta^2+54504\theta+13248\right)-2\ z^{3}\left(285799\theta^4+1251420\theta^3+2142633\theta^2+1678248\theta+511560\right)-2^{2}\ z^{4}\left(2058125\theta^4+11190220\theta^3+23374875\theta^2+21658060\theta+7556504\right)-2^{3}\ z^{5}\left(8570685\theta^4+57030456\theta^3+140934413\theta^2+149627146\theta+57858760\right)-2^{6}\ z^{6}\left(5382486\theta^4+43183593\theta^3+124360784\theta^2+148979343\theta+62839586\right)-2^{7}\ z^{7}\left(7897671\theta^4+75745098\theta^3+252663545\theta^2+339244430\theta+154810568\right)-2^{10}\ z^{8}(\theta+1)(1454893\theta^3+15409953\theta^2+50286726\theta+48898444)-2^{11}\ z^{9}(\theta+1)(\theta+2)(227963\theta^2+3375435\theta+10342960)+2^{14}\ z^{10}(\theta+1)(\theta+2)(\theta+3)(48476\theta+271867)-2^{15}\ 3\ 5\ 13\ 23\ z^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

\(L(z,\theta)=31^{2}\ \theta^4-31\ z\theta(37\theta^3+3404\theta^2+2167\theta+465)-z^{2}\left(3584242\theta^4+13193680\theta^3+15543050\theta^2+9592175\theta+2490912\right)-3^{2}\ z^{3}\left(19107317\theta^4+73205086\theta^3+112285993\theta^2+86123611\theta+26445852\right)-3\ z^{4}\left(1372729742\theta^4+6047894734\theta^3+11016338393\theta^2+9650491725\theta+3283335324\right)-z^{5}\left(61079790533\theta^4+312026249948\theta^3+649293087145\theta^2+630130831252\theta+231606447564\right)-2\ 3^{2}\ z^{6}\left(33534165907\theta^4+196973375042\theta^3+458528416805\theta^2+484791515686\theta+189712671726\right)-3^{2}\ 7\ z^{7}\left(64606565117\theta^4+431259053450\theta^3+1107908854519\theta^2+1261805762830\theta+520567245048\right)-3^{4}\ 7^{2}\ z^{8}(\theta+1)(4683541363\theta^3+30431977551\theta^2+68128269606\theta+51768680224)-2^{2}\ 3^{3}\ 7^{3}\ z^{9}(\theta+1)(\theta+2)(1489780280\theta^2+7942046183\theta+10944040794)-2^{2}\ 3^{4}\ 7^{4}\ 53\ z^{10}(\theta+3)(\theta+2)(\theta+1)(2336627\theta+7400894)-2^{5}\ 3^{3}\ 7^{5}\ 19\ 53^{2}\ 97\ z^{11}(\theta+1)(\theta+2)(\theta+3)(\theta+4)\)

\(L(z,\theta)=3^{6}\ \theta^4-3^{6}\ z\left(111\theta^4+180\theta^3+140\theta^2+50\theta+7\right)+3^{3}\ z^{2}\left(31925\theta^4+11480\theta^3-42466\theta^2-34182\theta-7560\right)+3^{3}\ z^{3}\left(4877\theta^4+370644\theta^3+409430\theta^2+199476\theta+42297\right)-2\ z^{4}\left(10348339\theta^4+26540048\theta^3+42009388\theta^2+29955528\theta+7880058\right)+2\ z^{5}\left(9831565\theta^4+67438924\theta^3+143690304\theta^2+116711926\theta+33599143\right)+2\ z^{6}\left(14540887\theta^4-5897448\theta^3-129216202\theta^2-158647410\theta-56400514\right)-2\ z^{7}\left(20947985\theta^4+93882580\theta^3+71337738\theta^2-9343940\theta-17269525\right)+z^{8}\left(1325117\theta^4+114002144\theta^3+209338120\theta^2+141064960\theta+32960772\right)+3^{4}\ z^{9}\left(254941\theta^4+471612\theta^3+445052\theta^2+300870\theta+101457\right)-3^{8}\ z^{10}\left(1621\theta^4+5816\theta^3+8326\theta^2+5418\theta+1332\right)+3^{13}\ z^{11}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+z\left(1621\theta^4+668\theta^3+604\theta^2+270\theta+45\right)+3\ z^{2}\left(254941\theta^4+548152\theta^3+559862\theta^2+194162\theta+28968\right)-3^{2}\ z^{3}\left(1325117\theta^4-108701676\theta^3-124717610\theta^2-59094684\theta-11443095\right)-2\ 3^{7}\ z^{4}\left(20947985\theta^4-10090640\theta^3-84622092\theta^2-45836384\theta-9522442\right)-2\ 3^{12}\ z^{5}\left(14540887\theta^4+64060996\theta^3-24278536\theta^2-23929102\theta-6530971\right)+2\ 3^{17}\ z^{6}\left(9831565\theta^4-28112664\theta^3+362922\theta^2+7678170\theta+2970162\right)+2\ 3^{22}\ z^{7}\left(10348339\theta^4+14853308\theta^3+24479278\theta^2+15836460\theta+3742209\right)+3^{30}\ z^{8}\left(4877\theta^4-351136\theta^3-673240\theta^2-473040\theta-113516\right)-3^{35}\ z^{9}\left(31925\theta^4+116220\theta^3+114644\theta^2+42510\theta+4601\right)-3^{43}\ z^{10}\left(111\theta^4+264\theta^3+266\theta^2+134\theta+28\right)-3^{48}\ z^{11}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}\ 7^{2}\ \theta^4-5\ 7\ z\left(2658\theta^4+4272\theta^3+3361\theta^2+1225\theta+175\right)+z^{2}\left(364211\theta^4-1102432\theta^3-2927049\theta^2-2058700\theta-482475\right)+z^{3}\left(3547267\theta^4+16891206\theta^3+17848802\theta^2+7584675\theta+1107645\right)-z^{4}\left(16110878\theta^4+38194636\theta^3+46592338\theta^2+26546780\theta+5628891\right)-3\ z^{5}\left(2019469\theta^4+2698822\theta^3+453746\theta^2+985337\theta+832575\right)+3^{2}\ z^{6}\left(3186847\theta^4+10570488\theta^3+13101727\theta^2+7620366\theta+1780951\right)+3^{3}\ z^{7}\left(515831\theta^4+2708278\theta^3+5879206\theta^2+4986803\theta+1463799\right)-3^{4}\ z^{8}\left(94081\theta^4+60208\theta^3-440794\theta^2-635338\theta-240009\right)-3^{6}\ z^{9}\left(4919\theta^4+23958\theta^3+26539\theta^2+8334\theta-480\right)+2\ 3^{6}\ z^{10}\left(392\theta^4-674\theta^3-2747\theta^2-2410\theta-663\right)+2^{2}\ 3^{10}\ z^{11}\left((\theta+1)^4\right)\)

\(L(z,\theta)=2^{2}\ \theta^4+2\ z\left(392\theta^4+2242\theta^3+1627\theta^2+506\theta+66\right)-3^{4}\ z^{2}\left(4919\theta^4-4282\theta^3-15821\theta^2-7454\theta-1314\right)-3^{6}\ z^{3}\left(94081\theta^4+316116\theta^3-56932\theta^2-50550\theta-11592\right)+3^{9}\ z^{4}\left(515831\theta^4-644954\theta^3+849358\theta^2+710099\theta+163755\right)+3^{12}\ z^{5}\left(3186847\theta^4+2176900\theta^3+511345\theta^2-380988\theta-121329\right)-3^{15}\ z^{6}\left(2019469\theta^4+5379054\theta^3+4474094\theta^2-96435\theta-378369\right)-3^{18}\ z^{7}\left(16110878\theta^4+26248876\theta^3+28673698\theta^2+16497500\theta+3590691\right)+3^{22}\ z^{8}\left(3547267\theta^4-2702138\theta^3-11541214\theta^2-8371621\theta-1972167\right)+3^{26}\ z^{9}\left(364211\theta^4+2559276\theta^3+2565513\theta^2+968742\theta+115819\right)-3^{30}\ 5\ 7\ z^{10}\left(2658\theta^4+6360\theta^3+6493\theta^2+3313\theta+697\right)+3^{34}\ 5^{2}\ 7^{2}\ z^{11}\left((\theta+1)^4\right)\)

\(L(z,\theta)=2^{2}\ 13^{2}\ \theta^4+2\ 13\ z\left(2902\theta^4+6146\theta^3+4763\theta^2+1690\theta+234\right)-3\ z^{2}\left(96469\theta^4+49486\theta^3-135373\theta^2-115726\theta-26754\right)+3\ z^{3}\left(107658\theta^4-7866\theta^3+142429\theta^2+209352\theta+70434\right)+3^{2}\ z^{4}\left(27312\theta^4-323430\theta^3-1054064\theta^2-786941\theta-191951\right)-3^{4}\ z^{5}\left(1180\theta^4-103322\theta^3-143955\theta^2-85327\theta-20494\right)-3^{5}\ z^{6}\left(2379\theta^4+12696\theta^3+45266\theta^2+49297\theta+16562\right)-3^{6}\ z^{7}\left(929\theta^4+13156\theta^3-15355\theta^2-25877\theta-8920\right)+3^{7}\ z^{8}\left(1318\theta^4+2950\theta^3+2915\theta^2+772\theta-131\right)+3^{7}\ z^{9}\left(315\theta^4-3006\theta^3-5005\theta^2-2784\theta-504\right)-2^{2}\ 3^{8}\ z^{10}\left(42\theta^4+66\theta^3+25\theta^2-8\theta-5\right)+2^{4}\ 3^{10}\ z^{11}\left((\theta+1)^4\right)\)

\(L(z,\theta)=2^{4}\ \theta^4-2^{2}\ 3\ z\left(42\theta^4+102\theta^3+79\theta^2+28\theta+4\right)+3^{3}\ z^{2}\left(315\theta^4+4266\theta^3+5903\theta^2+3052\theta+596\right)+3^{6}\ z^{3}\left(1318\theta^4+2322\theta^3+1973\theta^2+1480\theta+380\right)-3^{8}\ z^{4}\left(929\theta^4-9440\theta^3-49249\theta^2-40585\theta-10625\right)-3^{10}\ z^{5}\left(2379\theta^4-3180\theta^3+21452\theta^2+12663\theta+2214\right)-3^{12}\ z^{6}\left(1180\theta^4+108042\theta^3+173091\theta^2+112103\theta+25380\right)+3^{13}\ z^{7}\left(27312\theta^4+432678\theta^3+80098\theta^2-241649\theta-108332\right)+3^{15}\ z^{8}\left(107658\theta^4+438498\theta^3+811975\theta^2+529736\theta+119035\right)-3^{18}\ z^{9}\left(96469\theta^4+336390\theta^3+294983\theta^2+82398\theta+582\right)+2\ 3^{20}\ 13\ z^{10}\left(2902\theta^4+5462\theta^3+3737\theta^2+1006\theta+63\right)+2^{2}\ 3^{23}\ 13^{2}\ z^{11}\left((\theta+1)^4\right)\)

\(L(z,\theta)=2^{4}\ \theta^4-2^{2}\ z\left(278\theta^4+394\theta^3+309\theta^2+112\theta+16\right)-z^{2}\left(4615\theta^4+56722\theta^3+96951\theta^2+57616\theta+11952\right)+2\ z^{3}\left(129366\theta^4+473682\theta^3+531879\theta^2+282576\theta+62656\right)-z^{4}\left(1139565\theta^4+3814866\theta^3+7153953\theta^2+5365104\theta+1430728\right)-2\ 3\ z^{5}\left(286602\theta^4-694990\theta^3-3072025\theta^2-2917584\theta-895328\right)+2^{2}\ z^{6}\left(1338547\theta^4+4488552\theta^3+821964\theta^2-3171240\theta-1633306\right)+2^{4}\ z^{7}\left(17380\theta^4-1361536\theta^3-2049918\theta^2-1043692\theta-152703\right)-2^{6}\ z^{8}\left(106051\theta^4+123172\theta^3+23589\theta^2-28382\theta-10873\right)+2^{10}\ z^{9}\left(4885\theta^4+15033\theta^3+20559\theta^2+13908\theta+3737\right)-2^{12}\ z^{10}\left(335\theta^4+1270\theta^3+1875\theta^2+1240\theta+307\right)+2^{17}\ z^{11}\left((\theta+1)^4\right)\)

\(L(z,\theta)=\theta^4+2^{4}\ z\left(335\theta^4+70\theta^3+75\theta^2+40\theta+7\right)+2^{11}\ z^{2}\left(4885\theta^4+4507\theta^3+4770\theta^2+1651\theta+240\right)+2^{16}\ z^{3}\left(106051\theta^4+301032\theta^3+290379\theta^2+130248\theta+23977\right)+2^{23}\ z^{4}\left(17380\theta^4+1431056\theta^3+2138970\theta^2+1097984\theta+219987\right)-2^{30}\ z^{5}\left(1338547\theta^4+865636\theta^3-4612410\theta^2-3296300\theta-790107\right)-2^{38}\ 3\ z^{6}\left(286602\theta^4+1841398\theta^3+732557\theta^2+4912\theta-68177\right)+2^{46}\ z^{7}\left(1139565\theta^4+743394\theta^3+2546745\theta^2+2056464\theta+544276\right)+2^{56}\ z^{8}\left(129366\theta^4+43782\theta^3-112971\theta^2-122400\theta-32357\right)+2^{64}\ z^{9}\left(4615\theta^4-38262\theta^3-45525\theta^2-15420\theta-820\right)-2^{75}\ z^{10}\left(278\theta^4+718\theta^3+795\theta^2+436\theta+97\right)-2^{86}\ z^{11}\left((\theta+1)^4\right)\)

\(L(z,\theta)=5^{2}7^{2}\theta^4 -3\cdot5^{2}\cdot7\,z\left(169\theta^4+342\theta^3+269\theta^2+98\theta+14\right) -2\cdot5\,z^{2}\left(29068\theta^4+101254\theta^3+142979\theta^2+94430\theta+24780\right) -5z^{3}\left(72227\theta^4+286050\theta^3+501033\theta^2+425670\theta+139608\right) +2z^{4}\left(286748\theta^4-779402\theta^3-3422963\theta^2-2684470\theta-681300\right) -z^{5}\left(7490076+19892278\theta+15897011\theta^2-984006\theta^3-2224575\theta^4\right) +2z^{6}\left(1109623\theta^4+1537878\theta^3-5243929\theta^2-10596978\theta-5189688\right) -2^{2}z^{7}\left(237446\theta^4-1827746\theta^3+1743127\theta^2+3795959\theta+1620252\right) -2^{3}3^{2}z^{8}\left(58344\theta^4-162618\theta^3-74839\theta^2+120781\theta+86822\right) -2^{2}3^{2}z^{9}\left(77741\theta^4-159874\theta^3-463443\theta^2-327512\theta-56132\right) +2^{3}3^{3}z^{10}\left(721\theta^4+12222\theta^3+39317\theta^2+44772\theta+17268\right) -2^{5}3^{3}z^{11}(\theta+1)\left(657\theta^3+1363\theta^2+689\theta-222\right) -2^{5}3^{3}13z^{12}(\theta+2)(\theta+1)\left(115\theta^2+339\theta+270\right) -2^{6}3^{3}13^{2}z^{13}(\theta+1)(\theta+2)^2(\theta+3)\)