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xc_xbecke88_lr_adiabatic.F
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1!--------------------------------------------------------------------------------------------------!
2! CP2K: A general program to perform molecular dynamics simulations !
3! Copyright 2000-2026 CP2K developers group <https://cp2k.org> !
4! !
5! SPDX-License-Identifier: GPL-2.0-or-later !
6!--------------------------------------------------------------------------------------------------!
7
8! **************************************************************************************************
9!> \brief Calculates the density_scaled BECKE88 long-range functional
10!> when used in adiabatic hybrids.
11!> The energy is given as
12!>
13!> Ec = 2*lambda*Ex(rho/lambda) + lambda^2*d/dlambda(Ex(rho/lambda)),
14!>
15!> where rho/lambda is the scaled density
16!> \par History
17!> 01.2008 created [mguidon]
18!> \author Manuel Guidon
19! **************************************************************************************************
20MODULE xc_xbecke88_lr_adiabatic
21 USE bibliography, ONLY: becke1988,&
22 cite_reference
23 USE cp_array_utils, ONLY: cp_3d_r_cp_type
24 USE input_section_types, ONLY: section_vals_type,&
25 section_vals_val_get
26 USE kinds, ONLY: dp
27 USE mathconstants, ONLY: pi,&
28 rootpi
29 USE xc_derivative_desc, ONLY: deriv_norm_drho,&
30 deriv_norm_drhoa,&
31 deriv_norm_drhob,&
32 deriv_rho,&
33 deriv_rhoa,&
34 deriv_rhob
35 USE xc_derivative_set_types, ONLY: xc_derivative_set_type,&
36 xc_dset_get_derivative
37 USE xc_derivative_types, ONLY: xc_derivative_get,&
38 xc_derivative_type
39 USE xc_rho_cflags_types, ONLY: xc_rho_cflags_type
40 USE xc_rho_set_types, ONLY: xc_rho_set_get,&
41 xc_rho_set_type
42#include "../base/base_uses.f90"
43
44 IMPLICIT NONE
45 PRIVATE
46
47 LOGICAL, PRIVATE, PARAMETER :: debug_this_module = .true.
48 CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'xc_xbecke88_lr_adiabatic'
49 REAL(kind=dp), PARAMETER :: beta = 0.0042_dp
50
51 PUBLIC :: xb88_lr_adiabatic_lda_info, xb88_lr_adiabatic_lsd_info, &
52 xb88_lr_adiabatic_lda_eval, xb88_lr_adiabatic_lsd_eval
53CONTAINS
54
55! **************************************************************************************************
56!> \brief return various information on the functional
57!> \param reference string with the reference of the actual functional
58!> \param shortform string with the shortform of the functional name
59!> \param needs the components needed by this functional are set to
60!> true (does not set the unneeded components to false)
61!> \param max_deriv ...
62!> \par History
63!> 01.2008 created [mguidon]
64!> \author Manuel Guidon
65! **************************************************************************************************
66 SUBROUTINE xb88_lr_adiabatic_lda_info(reference, shortform, needs, max_deriv)
67 CHARACTER(LEN=*), INTENT(OUT), OPTIONAL :: reference, shortform
68 TYPE(xc_rho_cflags_type), INTENT(inout), OPTIONAL :: needs
69 INTEGER, INTENT(out), OPTIONAL :: max_deriv
70
71 IF (PRESENT(reference)) THEN
72 reference = "A. Becke, Phys. Rev. A 38, 3098 (1988) {LDA version}"
73 END IF
74 IF (PRESENT(shortform)) THEN
75 shortform = "Becke 1988 Exchange Functional (LDA)"
76 END IF
77 IF (PRESENT(needs)) THEN
78 needs%rho = .true.
79 needs%norm_drho = .true.
80 END IF
81 IF (PRESENT(max_deriv)) max_deriv = 1
82
83 END SUBROUTINE xb88_lr_adiabatic_lda_info
84
85! **************************************************************************************************
86!> \brief return various information on the functional
87!> \param reference string with the reference of the actual functional
88!> \param shortform string with the shortform of the functional name
89!> \param needs the components needed by this functional are set to
90!> true (does not set the unneeded components to false)
91!> \param max_deriv ...
92!> \par History
93!> 01.2008 created [mguidon]
94!> \author Manuel Guidon
95! **************************************************************************************************
96 SUBROUTINE xb88_lr_adiabatic_lsd_info(reference, shortform, needs, max_deriv)
97 CHARACTER(LEN=*), INTENT(OUT), OPTIONAL :: reference, shortform
98 TYPE(xc_rho_cflags_type), INTENT(inout), OPTIONAL :: needs
99 INTEGER, INTENT(out), OPTIONAL :: max_deriv
100
101 IF (PRESENT(reference)) THEN
102 reference = "A. Becke, Phys. Rev. A 38, 3098 (1988) {LSD version}"
103 END IF
104 IF (PRESENT(shortform)) THEN
105 shortform = "Becke 1988 Exchange Functional (LSD)"
106 END IF
107 IF (PRESENT(needs)) THEN
108 needs%rho_spin = .true.
109 needs%rho_spin_1_3 = .true.
110 needs%norm_drho_spin = .true.
111 END IF
112 IF (PRESENT(max_deriv)) max_deriv = 3
113
114 END SUBROUTINE xb88_lr_adiabatic_lsd_info
115
116! **************************************************************************************************
117!> \brief evaluates the becke 88 longrange exchange functional for lda
118!> \param rho_set the density where you want to evaluate the functional
119!> \param deriv_set place where to store the functional derivatives (they are
120!> added to the derivatives)
121!> \param grad_deriv maximum degree of the derivative that should be evaluated
122!> \param xb88_lr_ad_params input parameters (scaling)
123!> \par History
124!> 01.2008 created [mguidon]
125!> \author Manuel Guidon
126! **************************************************************************************************
127 SUBROUTINE xb88_lr_adiabatic_lda_eval(rho_set, deriv_set, grad_deriv, xb88_lr_ad_params)
128 TYPE(xc_rho_set_type), INTENT(IN) :: rho_set
129 TYPE(xc_derivative_set_type), INTENT(IN) :: deriv_set
130 INTEGER, INTENT(in) :: grad_deriv
131 TYPE(section_vals_type), POINTER :: xb88_lr_ad_params
132
133 CHARACTER(len=*), PARAMETER :: routinen = 'xb88_lr_adiabatic_lda_eval'
134
135 INTEGER :: handle, npoints
136 INTEGER, DIMENSION(2, 3) :: bo
137 REAL(kind=dp) :: epsilon_rho, lambda, omega, sx
138 REAL(kind=dp), CONTIGUOUS, DIMENSION(:, :, :), POINTER :: dummy, e_0, e_ndrho, &
139 e_ndrho_ndrho, e_ndrho_ndrho_ndrho, e_ndrho_ndrho_rho, e_ndrho_rho, e_ndrho_rho_rho, &
140 e_rho, e_rho_rho, e_rho_rho_rho, norm_drho, rho
141 TYPE(xc_derivative_type), POINTER :: deriv
142
143 CALL timeset(routinen, handle)
144
145 CALL section_vals_val_get(xb88_lr_ad_params, "SCALE_X", r_val=sx)
146 CALL section_vals_val_get(xb88_lr_ad_params, "OMEGA", r_val=omega)
147 CALL section_vals_val_get(xb88_lr_ad_params, "LAMBDA", r_val=lambda)
148
149 CALL cite_reference(becke1988)
150
151 CALL xc_rho_set_get(rho_set, rho=rho, &
152 norm_drho=norm_drho, local_bounds=bo, rho_cutoff=epsilon_rho)
153 npoints = (bo(2, 1) - bo(1, 1) + 1)*(bo(2, 2) - bo(1, 2) + 1)*(bo(2, 3) - bo(1, 3) + 1)
154
155 dummy => rho
156
157 e_0 => dummy
158 e_rho => dummy
159 e_ndrho => dummy
160 e_rho_rho => dummy
161 e_ndrho_rho => dummy
162 e_ndrho_ndrho => dummy
163 e_rho_rho_rho => dummy
164 e_ndrho_rho_rho => dummy
165 e_ndrho_ndrho_rho => dummy
166 e_ndrho_ndrho_ndrho => dummy
167
168 deriv => xc_dset_get_derivative(deriv_set, [INTEGER::], &
169 allocate_deriv=.true.)
170 CALL xc_derivative_get(deriv, deriv_data=e_0)
171 IF (grad_deriv >= 1) THEN
172 deriv => xc_dset_get_derivative(deriv_set, [deriv_rho], &
173 allocate_deriv=.true.)
174 CALL xc_derivative_get(deriv, deriv_data=e_rho)
175 deriv => xc_dset_get_derivative(deriv_set, [deriv_norm_drho], &
176 allocate_deriv=.true.)
177 CALL xc_derivative_get(deriv, deriv_data=e_ndrho)
178 END IF
179 IF (grad_deriv >= 2) THEN
180 deriv => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_rho], &
181 allocate_deriv=.true.)
182 CALL xc_derivative_get(deriv, deriv_data=e_rho_rho)
183 deriv => xc_dset_get_derivative(deriv_set, [deriv_norm_drho, deriv_rho], &
184 allocate_deriv=.true.)
185 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_rho)
186 deriv => xc_dset_get_derivative(deriv_set, &
187 [deriv_norm_drho, deriv_norm_drho], allocate_deriv=.true.)
188 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho)
189 END IF
190 IF (grad_deriv >= 3) THEN
191 deriv => xc_dset_get_derivative(deriv_set, [deriv_rho, deriv_rho, deriv_rho], &
192 allocate_deriv=.true.)
193 CALL xc_derivative_get(deriv, deriv_data=e_rho_rho_rho)
194 deriv => xc_dset_get_derivative(deriv_set, &
195 [deriv_norm_drho, deriv_rho, deriv_rho], allocate_deriv=.true.)
196 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_rho_rho)
197 deriv => xc_dset_get_derivative(deriv_set, &
198 [deriv_norm_drho, deriv_norm_drho, deriv_rho], allocate_deriv=.true.)
199 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho_rho)
200 deriv => xc_dset_get_derivative(deriv_set, &
201 [deriv_norm_drho, deriv_norm_drho, deriv_norm_drho], allocate_deriv=.true.)
202 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho_ndrho)
203 END IF
204 IF (grad_deriv > 3) THEN
205 cpabort("derivatives bigger than 3 not implemented")
206 END IF
207
208!$OMP PARALLEL DEFAULT(NONE) &
209!$OMP SHARED(rho, norm_drho, e_0, e_rho, e_ndrho, e_rho_rho) &
210!$OMP SHARED(e_ndrho_rho, e_ndrho_ndrho, e_rho_rho_rho) &
211!$OMP SHARED(e_ndrho_rho_rho, e_ndrho_ndrho_rho) &
212!$OMP SHARED(e_ndrho_ndrho_ndrho, grad_deriv, npoints) &
213!$OMP SHARED(epsilon_rho, sx, omega, lambda)
214
215 CALL xb88_lr_adiabatic_lda_calc(rho=rho, norm_drho=norm_drho, &
216 e_0=e_0, e_rho=e_rho, e_ndrho=e_ndrho, e_rho_rho=e_rho_rho, &
217 e_ndrho_rho=e_ndrho_rho, e_ndrho_ndrho=e_ndrho_ndrho, &
218 e_rho_rho_rho=e_rho_rho_rho, e_ndrho_rho_rho=e_ndrho_rho_rho, &
219 e_ndrho_ndrho_rho=e_ndrho_ndrho_rho, &
220 e_ndrho_ndrho_ndrho=e_ndrho_ndrho_ndrho, grad_deriv=grad_deriv, &
221 npoints=npoints, epsilon_rho=epsilon_rho, &
222 sx=sx, omega=omega, lambda=lambda)
223
224!$OMP END PARALLEL
225
226 CALL timestop(handle)
227 END SUBROUTINE xb88_lr_adiabatic_lda_eval
228
229! **************************************************************************************************
230!> \brief low level calculation of the becke 88 exchange functional for lda
231!> \param rho alpha or beta spin density
232!> \param norm_drho || grad rho ||
233!> \param e_0 adds to it the local value of the functional
234!> \param e_rho e_*: derivative of the functional wrt. to the variables
235!> named where the * is. Everything wrt. to the spin of the arguments.
236!> \param e_ndrho ...
237!> \param e_rho_rho ...
238!> \param e_ndrho_rho ...
239!> \param e_ndrho_ndrho ...
240!> \param e_rho_rho_rho ...
241!> \param e_ndrho_rho_rho ...
242!> \param e_ndrho_ndrho_rho ...
243!> \param e_ndrho_ndrho_ndrho ...
244!> \param grad_deriv ...
245!> \param npoints ...
246!> \param epsilon_rho ...
247!> \param sx scaling-parameter for exchange
248!> \param omega parameter for erfc
249!> \param lambda ...
250!> \par History
251!> 01.2008 created [mguidon]
252!> \author Manuel Guidon
253!> \note
254!> - Just took the lsd code and scaled rho and ndrho by 1/2 (e_0 with 2.0)
255! **************************************************************************************************
256 SUBROUTINE xb88_lr_adiabatic_lda_calc(rho, norm_drho, &
257 e_0, e_rho, e_ndrho, e_rho_rho, e_ndrho_rho, &
258 e_ndrho_ndrho, e_rho_rho_rho, e_ndrho_rho_rho, e_ndrho_ndrho_rho, &
259 e_ndrho_ndrho_ndrho, grad_deriv, npoints, epsilon_rho, sx, &
260 omega, lambda)
261 INTEGER, INTENT(in) :: npoints, grad_deriv
262 REAL(kind=dp), DIMENSION(1:npoints), INTENT(inout) :: e_ndrho_ndrho_ndrho, &
263 e_ndrho_ndrho_rho, e_ndrho_rho_rho, e_rho_rho_rho, e_ndrho_ndrho, e_ndrho_rho, e_rho_rho, &
264 e_ndrho, e_rho, e_0
265 REAL(kind=dp), DIMENSION(1:npoints), INTENT(in) :: norm_drho, rho
266 REAL(kind=dp), INTENT(in) :: epsilon_rho, sx, omega, lambda
267
268 INTEGER :: ii
269 REAL(kind=dp) :: cx, epsilon_rho43, my_epsilon_rho, my_ndrho, my_rho, t1, t10, t1000, t1002, &
270 t1004, t1008, t1012, t1014, t1019, t102, t1021, t1024, t1026, t103, t1030, t1033, t1034, &
271 t1036, t104, t1040, t1044, t1046, t105, t1050, t1054, t1055, t1056, t1058, t1059, t106, &
272 t1060, t1063, t1064, t1067, t1068, t107, t1071, t1076, t1079, t108, t1082, t1085, t1089, &
273 t1093, t1097, t1099, t11, t1100, t1101, t1106, t1109, t1111, t1119, t112, t1122, t1125, &
274 t1126, t1129, t1134, t1137, t114, t1140, t1141, t1142, t1143, t115, t1150, t1157, t116, &
275 t1161, t1168, t1172, t1176, t1189, t119, t1191, t1192, t1193
276 REAL(kind=dp) :: t1194, t12, t1200, t1201, t1206, t1207, t1210, t1213, t1216, t122, t1221, &
277 t1224, t123, t1235, t1238, t1239, t1246, t1247, t1254, t126, t1264, t1268, t1275, t1283, &
278 t1284, t1288, t1292, t13, t130, t1300, t1301, t1302, t1309, t131, t1316, t132, t1320, &
279 t133, t1333, t1340, t1347, t1348, t136, t1360, t1367, t1368, t137, t1372, t1373, t1377, &
280 t1387, t1388, t1392, t1396, t1397, t14, t140, t1401, t1406, t1408, t1409, t141, t1410, &
281 t1411, t1413, t1417, t1420, t1425, t1426, t1429, t1436, t1438, t1439, t144, t1440, t1443, &
282 t1444, t1447, t145, t1451, t1455, t1459, t146, t1466, t147, t1470
283 REAL(kind=dp) :: t1471, t1476, t1479, t1482, t1483, t1485, t1489, t149, t1492, t1493, t1496, &
284 t1498, t15, t150, t1500, t1502, t1504, t1505, t1506, t1507, t1509, t151, t1510, t1512, &
285 t1513, t1515, t1517, t1518, t1519, t1523, t1525, t1528, t1530, t1531, t1535, t1536, &
286 t1541, t1543, t1545, t1546, t1547, t1549, t155, t1552, t1553, t1556, t1557, t156, t1560, &
287 t1563, t1564, t1565, t1568, t1570, t1571, t1574, t1575, t1577, t1579, t1581, t1582, &
288 t1584, t1586, t1588, t1589, t1591, t1592, t1594, t1596, t1597, t1598, t1599, t16, t160, &
289 t1601, t1602, t1603, t1605, t1607, t1608, t161, t1610, t1611, t1613
290 REAL(kind=dp) :: t1615, t1616, t1617, t1618, t1620, t1621, t1622, t1624, t1625, t1626, &
291 t1628, t1630, t1631, t1632, t1634, t1636, t1638, t164, t1640, t1642, t1644, t1645, t1647, &
292 t1649, t165, t1652, t1654, t1656, t1658, t166, t1660, t1662, t1664, t1667, t1669, t1671, &
293 t1675, t1677, t1679, t1680, t1681, t1684, t1685, t1688, t1689, t1693, t1694, t1696, &
294 t1699, t17, t170, t1700, t1702, t1703, t1705, t1706, t1708, t1709, t171, t1712, t1714, &
295 t1715, t1717, t1718, t1719, t172, t1720, t1722, t1724, t1726, t1728, t1730, t1731, t1735, &
296 t1737, t1740, t1741, t1743, t1745, t1748, t1752, t1754, t1755, t1757
297 REAL(kind=dp) :: t1758, t176, t1760, t1762, t1763, t1765, t1766, t1768, t1769, t177, t1773, &
298 t1774, t1776, t1777, t1779, t178, t1782, t1784, t1785, t1787, t1789, t1790, t1794, t1795, &
299 t1797, t18, t1800, t1801, t1804, t1807, t1810, t1811, t1814, t1817, t182, t1821, t1822, &
300 t1824, t1825, t1828, t1829, t183, t1832, t1835, t1836, t1837, t1838, t1842, t1843, t1849, &
301 t1852, t1854, t1858, t1861, t1864, t1865, t1868, t187, t1871, t1874, t1875, t1878, t1881, &
302 t1884, t1885, t1886, t189, t1891, t1892, t1895, t1898, t19, t1901, t1902, t1905, t1908, &
303 t1912, t1914, t1917, t192, t1920, t1923, t1924, t1925
304 REAL(kind=dp) :: t1928, t1932, t1938, t1939, t194, t1940, t1943, t1946, t195, t1952, t1954, &
305 t1958, t196, t1961, t1962, t1965, t1966, t1969, t1971, t1972, t1973, t1974, t1975, t1977, &
306 t1980, t1981, t1984, t1987, t1988, t199, t1991, t1994, t1997, t20, t200, t2000, t2001, &
307 t2002, t2006, t2009, t2013, t2014, t2018, t2022, t2027, t2028, t203, t2031, t2032, t2035, &
308 t2042, t2046, t2050, t2054, t2057, t2058, t2061, t207, t2073, t2074, t2077, t2081, t2082, &
309 t2086, t2088, t2095, t2098, t2099, t2104, t2107, t2113, t2114, t2117, t2118, t2124, &
310 t2126, t2130, t2131, t2138, t2139, t214, t2143, t2147, t2160
311 REAL(kind=dp) :: t2169, t217, t218, t2182, t2183, t2187, t219, t2190, t2193, t2196, t2197, &
312 t22, t220, t2200, t2201, t2204, t2205, t221, t2220, t2226, t2227, t2230, t224, t225, &
313 t2257, t2261, t2264, t2268, t2272, t2274, t2276, t2279, t2280, t2281, t2282, t2285, &
314 t2287, t2292, t2295, t2296, t2299, t23, t230, t2300, t2304, t2307, t2308, t2311, t2312, &
315 t2319, t2326, t233, t234, t2351, t2368, t237, t2378, t2382, t2392, t24, t2404, t2418, &
316 t2424, t2437, t2439, t245, t2451, t2455, t2468, t2480, t249, t2492, t25, t250, t2537, &
317 t2552, t2565, t2569, t2576, t2585, t26, t260, t2611, t262, t2621, t2622
318 REAL(kind=dp) :: t2631, t2635, t2636, t264, t2645, t2655, t266, t267, t268, t27, t2707, &
319 t271, t2720, t2724, t2732, t274, t275, t2759, t2763, t2779, t278, t2783, t2808, t2816, &
320 t282, t2821, t2823, t283, t2833, t2843, t2853, t2869, t2873, t2877, t2885, t289, t290, &
321 t2935, t2937, t294, t295, t298, t299, t2992, t2994, t2998, t302, t3026, t3030, t306, &
322 t3069, t307, t3070, t308, t3085, t309, t3093, t3097, t3098, t31, t311, t3129, t313, &
323 t3141, t316, t317, t318, t3181, t321, t322, t3232, t3244, t3248, t326, t3262, t3264, &
324 t3268, t327, t3278, t328, t3288, t329, t3291, t3305, t3306, t3314, t332, t3329
325 REAL(kind=dp) :: t3339, t3344, t3347, t3352, t3353, t3356, t3357, t336, t3362, t3363, t3366, &
326 t3378, t3379, t3382, t339, t341, t342, t343, t3449, t3453, t347, t3472, t3491, t3494, &
327 t3497, t35, t350, t3501, t3505, t3507, t3512, t3513, t3514, t352, t3525, t3533, t3543, &
328 t3546, t3547, t3552, t3553, t356, t3561, t3569, t357, t3575, t3576, t3580, t3581, t36, &
329 t360, t3608, t3618, t362, t365, t366, t3668, t367, t3673, t3674, t3677, t3679, t368, &
330 t3682, t37, t371, t3711, t372, t3726, t375, t3750, t376, t3763, t379, t3794, t3796, t380, &
331 t3826, t3827, t383, t384, t3842, t3849, t3853, t3861, t3865, t3869
332 REAL(kind=dp) :: t387, t3871, t3875, t3892, t3918, t392, t3925, t393, t3933, t3939, t394, &
333 t3940, t3965, t3969, t3975, t3979, t398, t3985, t399, t4, t40, t400, t401, t4010, t4018, &
334 t4025, t4032, t405, t406, t4070, t4079, t41, t4101, t4108, t413, t4140, t4156, t417, t42, &
335 t4201, t4214, t4230, t424, t425, t4255, t4256, t4261, t4272, t428, t429, t4292, t43, &
336 t4317, t433, t4345, t4352, t437, t4378, t4392, t44, t4428, t444, t445, t446, t4466, &
337 t4498, t45, t450, t4505, t451, t4512, t4545, t455, t4553, t4575, t4585, t46, t4607, t462, &
338 t4627, t4657, t466, t4696, t47, t470, t4700, t4701, t4704, t4707
339 REAL(kind=dp) :: t4708, t471, t4713, t4714, t4717, t472, t4721, t4725, t4726, t4729, t473, &
340 t4732, t4733, t4734, t4736, t4738, t4739, t474, t4743, t4744, t4748, t4760, t4764, t4768, &
341 t4769, t4770, t4771, t4772, t4776, t478, t4782, t4786, t4789, t479, t4790, t4793, t4796, &
342 t4797, t48, t4800, t4801, t4804, t4808, t4812, t4817, t4820, t4829, t4830, t4833, t4834, &
343 t4837, t4838, t4849, t4850, t4853, t4857, t4861, t4864, t4869, t4872, t4874, t4878, &
344 t4881, t4884, t4887, t4889, t489, t4893, t4895, t4897, t4898, t49, t4901, t4904, t4905, &
345 t4907, t4908, t4909, t4911, t4915, t4917, t4918, t4920, t4922
346 REAL(kind=dp) :: t4925, t4929, t4932, t4935, t4940, t4941, t4943, t4945, t4946, t4951, &
347 t4952, t4955, t4958, t496, t498, t4994, t4995, t50, t500, t5001, t5002, t5005, t5008, &
348 t5009, t5011, t5013, t5016, t5019, t5022, t5025, t5028, t5029, t503, t5032, t5035, t5036, &
349 t5040, t5043, t5044, t5047, t5050, t5051, t5060, t5065, t5069, t5079, t508, t5083, t5087, &
350 t5106, t5108, t511, t5115, t5118, t512, t5122, t5123, t5126, t5139, t5143, t5147, t515, &
351 t516, t5163, t517, t5170, t5174, t520, t5226, t5228, t5229, t5237, t5244, t5247, t5251, &
352 t5256, t526, t5262, t527, t5270, t5271, t5276, t5280, t5281, t5284
353 REAL(kind=dp) :: t5291, t5294, t5295, t5298, t53, t530, t5301, t5303, t5305, t5308, t531, &
354 t5311, t5314, t5317, t5320, t5323, t5326, t5329, t5330, t5333, t5335, t5338, t5339, t534, &
355 t5342, t5343, t5345, t5347, t5351, t5354, t5357, t5360, t5363, t5367, t537, t5370, t5371, &
356 t5373, t5376, t5379, t5383, t5386, t5389, t5397, t5400, t5402, t5406, t5409, t541, t5412, &
357 t5415, t5418, t5421, t5423, t5426, t5429, t5430, t5432, t5436, t5440, t5443, t5446, &
358 t5449, t5451, t5454, t5456, t5459, t5460, t5462, t5466, t5468, t5469, t5472, t5474, &
359 t5478, t5480, t5482, t5484, t5487, t5489, t5492, t5494, t5496, t5499
360 REAL(kind=dp) :: t55, t550, t5503, t5507, t5509, t551, t5511, t5516, t5523, t5525, t5528, &
361 t5531, t5533, t5535, t5537, t5540, t5541, t5545, t5548, t5551, t5553, t5558, t5560, &
362 t5562, t5564, t5565, t5568, t557, t5572, t5574, t5575, t5579, t558, t5581, t5585, t5590, &
363 t5593, t5595, t5597, t56, t5600, t5602, t5604, t5607, t561, t5610, t5611, t5613, t5619, &
364 t5622, t5625, t5628, t5631, t5632, t5635, t5638, t5641, t5643, t5647, t5650, t5653, &
365 t5657, t566, t5660, t5663, t5666, t5667, t567, t5670, t5671, t5673, t5676, t5679, t5682, &
366 t5686, t5689, t569, t5692, t5695, t5696, t5698, t5699, t57, t5701, t5705
367 REAL(kind=dp) :: t5713, t5716, t5719, t5722, t5724, t5728, t5731, t5734, t5738, t5741, &
368 t5742, t5745, t5749, t575, t5752, t5756, t5760, t5767, t5770, t5773, t5776, t5780, t5783, &
369 t5786, t5789, t579, t5792, t5795, t5797, t58, t5801, t5804, t5807, t5810, t5813, t5816, &
370 t5819, t5822, t5825, t5828, t5830, t5831, t5833, t5835, t5838, t5841, t5845, t5848, t585, &
371 t5850, t5854, t5857, t5861, t5864, t5868, t5869, t5875, t5880, t5881, t5885, t5888, t589, &
372 t5891, t5898, t59, t590, t5902, t5905, t5908, t5911, t5913, t5918, t5922, t5925, t5926, &
373 t5929, t593, t5932, t5938, t5940, t5942, t5944, t5949, t5952
374 REAL(kind=dp) :: t5954, t5956, t5958, t5960, t5963, t5964, t5966, t597, t5971, t5973, t5975, &
375 t5977, t5978, t598, t5985, t5990, t5994, t5996, t6, t60, t6000, t6002, t6004, t6006, &
376 t6009, t6017, t6019, t6021, t6023, t6025, t6029, t6031, t6033, t6036, t6040, t6042, &
377 t6044, t6047, t6049, t605, t6052, t6053, t6056, t6058, t6060, t6063, t6066, t6074, t6075, &
378 t6078, t6079, t608, t6087, t609, t6090, t6091, t6094, t6099, t61, t6102, t6106, t6109, &
379 t6112, t6116, t6119, t6123, t6126, t6129, t6132, t6136, t6138, t614, t6141, t6144, t615, &
380 t6155, t6158, t6160, t6162, t6170, t6173, t6175, t6179, t6181, t6185
381 REAL(kind=dp) :: t6186, t6189, t6192, t6194, t6198, t62, t6201, t6207, t6210, t6213, t6216, &
382 t6219, t6222, t6223, t6227, t624, t6247, t6249, t6252, t6253, t6256, t6257, t6260, t6263, &
383 t6267, t6268, t627, t6271, t628, t6281, t6283, t6290, t6291, t63, t6308, t6338, t6339, &
384 t6344, t635, t6352, t6363, t6367, t637, t6370, t6373, t6375, t6380, t6389, t640, t6400, &
385 t6415, t6428, t6433, t6442, t645, t6451, t646, t6461, t6479, t649, t6490, t6499, t65, &
386 t650, t6509, t6529, t653, t6539, t6554, t6557, t6569, t657, t658, t6583, t6596, t66, &
387 t6603, t6611, t6620, t6621, t6630, t6640, t6658, t6665, t6669, t668
388 REAL(kind=dp) :: t67, t672, t673, t679, t68, t689, t69, t7, t70, t705, t707, t708, t709, &
389 t71, t710, t713, t716, t719, t722, t723, t728, t729, t732, t735, t739, t74, t747, t753, &
390 t754, t764, t765, t766, t769, t772, t773, t776, t777, t78, t782, t785, t786, t787, t79, &
391 t790, t792, t795, t796, t797, t8, t800, t801, t804, t815, t822, t826, t827, t83, t833, &
392 t84, t85, t851, t852, t855, t857, t859, t86, t862, t863, t864, t865, t866, t867, t87, &
393 t874, t877, t878, t88, t881, t882, t886, t889, t893, t894, t897, t9, t905, t906, t907, &
394 t914, t918, t92, t922, t923, t926, t929, t93, t930, t94, t940, t941
395 REAL(kind=dp) :: t942, t944, t946, t949, t95, t950, t953, t954, t955, t958, t959, t962, &
396 t963, t966, t969, t97, t972, t973, t974, t975, t976, t979, t98, t980, t983, t984, t987, &
397 t99, t991, t995, t997, xx
398
399 my_epsilon_rho = epsilon_rho
400 epsilon_rho43 = my_epsilon_rho**(4.0_dp/3.0_dp)
401 cx = 1.5_dp*(3.0_dp/4.0_dp/pi)**(1.0_dp/3.0_dp)
402
403!$OMP DO
404 DO ii = 1, npoints
405 !! scale densities with 0.5 because code comes from LSD
406 my_rho = rho(ii)*0.5_dp
407 my_ndrho = norm_drho(ii)*0.5_dp
408 IF (my_rho > my_epsilon_rho) THEN
409 t1 = my_rho**(0.1e1_dp/0.3e1_dp)
410 xx = my_ndrho*max(1.0_dp/t1/my_rho, epsilon_rho43)
411 t4 = lambda*my_rho
412 t6 = my_ndrho**2
413 t7 = beta*t6
414 t8 = lambda**2
415 t9 = t8**2
416 t10 = t9**2
417 t11 = 0.1e1_dp/t10
418 t12 = my_rho**2
419 t13 = t9*t8
420 t14 = 0.1e1_dp/t13
421 t15 = t12*t14
422 t16 = t8*lambda
423 t17 = 0.1e1_dp/t16
424 t18 = my_rho*t17
425 t19 = t18**(0.1e1_dp/0.3e1_dp)
426 t20 = t19**2
427 t22 = 0.1e1_dp/t20/t15
428 t23 = t11*t22
429 t24 = beta*my_ndrho
430 t25 = 0.1e1_dp/t9
431 t26 = t19*t18
432 t27 = 0.1e1_dp/t26
433 t31 = log(my_ndrho*t25*t27 + sqrt((my_ndrho*t25*t27)**0.2e1_dp + &
434 0.1e1_dp))
435 t35 = 0.10e1_dp + 0.60e1_dp*t24*t25*t27*t31
436 t36 = 0.1e1_dp/t35
437 t37 = t23*t36
438 t40 = 0.20e1_dp*cx + 0.20e1_dp*t7*t37
439 t41 = sqrt(t40)
440 t42 = t41*t40
441 t43 = t4*t42
442 t44 = rootpi
443 t45 = 0.1e1_dp/t44
444 t46 = omega*t45
445 t47 = 0.1e1_dp/omega
446 t48 = 0.1e1_dp/t41
447 t49 = t47*t48
448 t50 = t44*t19
449 t53 = erf(0.3000000000e1_dp*t49*t50)
450 t55 = omega*t41
451 t56 = 0.1e1_dp/t19
452 t57 = t45*t56
453 t58 = omega**2
454 t59 = 0.1e1_dp/t58
455 t60 = 0.1e1_dp/t40
456 t61 = t59*t60
457 t62 = pi*t20
458 t63 = t61*t62
459 t65 = exp(-0.8999999998e1_dp*t63)
460 t66 = t58*t40
461 t67 = 0.1e1_dp/pi
462 t68 = 0.1e1_dp/t20
463 t69 = t67*t68
464 t70 = t65 - 0.10e1_dp
465 t71 = t69*t70
466 t74 = t65 - 0.15e1_dp - 0.5555555558e-1_dp*t66*t71
467 t78 = t44*t53 + 0.3333333334e0_dp*t55*t57*t74
468 t79 = t46*t78
469 t83 = my_rho*t41*omega
470 t84 = t45*t78
471 t85 = t10*lambda
472 t86 = 0.1e1_dp/t85
473 t87 = t86*t22
474 t88 = t87*t36
475 t92 = 0.1e1_dp/t10/t9
476 t93 = t7*t92
477 t94 = t12*my_rho
478 t95 = t94*t86
479 t97 = 0.1e1_dp/t20/t95
480 t98 = t97*t36
481 t99 = t98*my_rho
482 t102 = t7*t11
483 t103 = t35**2
484 t104 = 0.1e1_dp/t103
485 t105 = t22*t104
486 t106 = t9*lambda
487 t107 = 0.1e1_dp/t106
488 t108 = t107*t27
489 t112 = t24*t11
490 t114 = 0.1e1_dp/t19/t15
491 t115 = t114*t31
492 t116 = t115*my_rho
493 t119 = t24*t25
494 t122 = my_ndrho*t11
495 t123 = t114*my_rho
496 t126 = -4*my_ndrho*t107*t27 + 4*t122*t123
497 t130 = 1 + t6*t11*t22
498 t131 = sqrt(t130)
499 t132 = 0.1e1_dp/t131
500 t133 = t27*t126*t132
501 t136 = -0.240e2_dp*t24*t108*t31 + 0.240e2_dp*t112*t116 + 0.60e1_dp &
502 *t119*t133
503 t137 = t105*t136
504 t140 = -0.160e2_dp*t7*t88 + 0.160e2_dp*t93*t99 - 0.20e1_dp*t102* &
505 t137
506 t141 = t84*t140
507 t144 = my_rho*t42
508 t145 = sqrt(0.3141592654e1_dp)
509 t146 = 0.1e1_dp/t145
510 t147 = t44*t146
511 t149 = exp(-0.9000000000e1_dp*t63)
512 t150 = 0.1e1_dp/t42
513 t151 = t47*t150
514 t155 = t49*t44
515 t156 = t68*my_rho
516 t160 = -0.1500000000e1_dp*t151*t50*t140 - 0.3000000000e1_dp*t155 &
517 *t156*t25
518 t161 = t149*t160
519 t164 = omega*t48
520 t165 = t164*t45
521 t166 = t56*t74
522 t170 = t55*t45
523 t171 = t27*t74
524 t172 = my_rho*t25
525 t176 = t40**2
526 t177 = 0.1e1_dp/t176
527 t178 = t59*t177
528 t182 = t61*pi
529 t183 = t56*my_rho
530 t187 = 0.8999999998e1_dp*t178*t62*t140 + 0.1800000000e2_dp*t182* &
531 t183*t25
532 t189 = t58*t140
533 t192 = t66*t67
534 t194 = 0.1e1_dp/t20/t18
535 t195 = t194*t70
536 t196 = t195*t172
537 t199 = t68*t187
538 t200 = t199*t65
539 t203 = t187*t65 - 0.5555555558e-1_dp*t189*t71 - 0.1111111112e0_dp* &
540 t192*t196 - 0.5555555558e-1_dp*t192*t200
541 t207 = (2*t147*t161) + 0.1666666667e0_dp*t165*t166*t140 &
542 + 0.3333333334e0_dp*t170*t171*t172 + 0.3333333334e0_dp*t55*t57 &
543 *t203
544 !! Multiply with 2.0 because Code comes from LSD
545
546 e_0(ii) = e_0(ii) + (-0.4444444448e0_dp*t43*t79 + t8*(-0.3333333336e0_dp*t83*t141 &
547 - 0.2222222224e0_dp*t144*t46*t207))*sx*2.0_dp
548 IF (grad_deriv >= 1) THEN
549 t214 = lambda*t42
550 t217 = t4*t41
551 t218 = t10*t16
552 t219 = 0.1e1_dp/t218
553 t220 = t219*t97
554 t221 = t220*t36
555 t224 = t9*t16
556 t225 = 0.1e1_dp/t224
557 t230 = t220*t132
558 t233 = -0.8000000000e1_dp*t24*t225*t114*t31 - 0.8000000000e1_dp* &
559 t7*t230
560 t234 = t105*t233
561 t237 = -0.5333333333e1_dp*t7*t221 - 0.20e1_dp*t102*t234
562 t245 = t44*t68
563 t249 = -0.1500000000e1_dp*t151*t50*t237 + 0.1000000000e1_dp*t49* &
564 t245*t17
565 t250 = t149*t249
566 t260 = t178*t62*t237
567 t262 = pi*t56
568 t264 = t61*t262*t17
569 t266 = 0.8999999998e1_dp*t260 - 0.5999999999e1_dp*t264
570 t267 = t266*t65
571 t268 = t58*t237
572 t271 = t195*t17
573 t274 = t68*t266
574 t275 = t274*t65
575 t278 = t267 - 0.5555555558e-1_dp*t268*t71 + 0.3703703705e-1_dp*t192 &
576 *t271 - 0.5555555558e-1_dp*t192*t275
577 t282 = (2*t147*t250) + 0.1666666667e0_dp*t165*t166*t237 &
578 - 0.1111111111e0_dp*t170*t171*t17 + 0.3333333334e0_dp*t55*t57 &
579 *t278
580 t283 = t46*t282
581 t289 = my_rho*t48*omega
582 t290 = t140*t237
583 t294 = t45*t282
584 t295 = t294*t140
585 t298 = t92*t97
586 t299 = t298*t36
587 t302 = t7*t86
588 t306 = 0.1e1_dp/t10/t224
589 t307 = t7*t306
590 t308 = t12**2
591 t309 = t308*t92
592 t311 = 0.1e1_dp/t20/t309
593 t313 = t311*t36*my_rho
594 t316 = t97*t104
595 t317 = my_rho*t233
596 t318 = t316*t317
597 t321 = t7*t219
598 t322 = t316*t136
599 t326 = 0.1e1_dp/t103/t35
600 t327 = t22*t326
601 t328 = t136*t233
602 t329 = t327*t328
603 t332 = t11*t114
604 t336 = t298*t132
605 t339 = t24*t219
606 t341 = 0.1e1_dp/t19/t95
607 t342 = t341*t31
608 t343 = t342*my_rho
609 t347 = t311*t132*my_rho
610 t350 = t24*t225
611 t352 = t114*t126*t132
612 t356 = my_ndrho*t219
613 t357 = t341*my_rho
614 t360 = 0.28e2_dp/0.3e1_dp*t122*t114 - 0.28e2_dp/0.3e1_dp*t356*t357
615 t362 = t27*t360*t132
616 t365 = t6*my_ndrho
617 t366 = beta*t365
618 t367 = t308*my_rho
619 t368 = 0.1e1_dp/t367
620 t371 = 0.1e1_dp/t131/t130
621 t372 = t368*t126*t371
622 t375 = 0.5600000000e2_dp*t24*t332*t31 + 0.3200000000e2_dp*t7*t336 &
623 - 0.5600000000e2_dp*t339*t343 - 0.3200000000e2_dp*t307*t347 - &
624 0.8000000000e1_dp*t350*t352 + 0.60e1_dp*t119*t362 + 0.8000000000e1_dp &
625 *t366*t372
626 t376 = t105*t375
627 t379 = 0.5866666667e2_dp*t7*t299 + 0.160e2_dp*t302*t234 - 0.5866666667e2_dp &
628 *t307*t313 - 0.160e2_dp*t93*t318 + 0.5333333333e1_dp*t321 &
629 *t322 + 0.40e1_dp*t102*t329 - 0.20e1_dp*t102*t376
630 t380 = t84*t379
631 t383 = t42*omega
632 t384 = t45*t207
633 t387 = t384*t237
634 t392 = 0.9000000000e1_dp*t260 - 0.6000000000e1_dp*t264
635 t393 = t392*t149
636 t394 = t393*t160
637 t398 = 0.1e1_dp/t41/t176
638 t399 = t47*t398
639 t400 = t399*t44
640 t401 = t19*t140
641 t405 = t151*t44
642 t406 = t68*t140
643 t413 = t25*t237
644 t417 = t194*my_rho
645 t424 = 0.2250000000e1_dp*t400*t401*t237 - 0.5000000000e0_dp*t405 &
646 *t406*t17 - 0.1500000000e1_dp*t151*t50*t379 + 0.1500000000e1_dp &
647 *t405*t156*t413 + 0.2000000000e1_dp*t155*t417*t225 - 0.3000000000e1_dp &
648 *t49*t245*t25
649 t425 = t149*t424
650 t428 = omega*t150
651 t429 = t428*t45
652 t433 = t140*t17
653 t437 = t56*t278
654 t444 = t45*t27
655 t445 = t164*t444
656 t446 = t74*my_rho
657 t450 = t114*t74
658 t451 = my_rho*t225
659 t455 = t27*t278
660 t462 = t56*t203
661 t466 = t27*t203
662 t470 = t176*t40
663 t471 = 0.1e1_dp/t470
664 t472 = t59*t471
665 t473 = t472*pi
666 t474 = t20*t140
667 t478 = t178*pi
668 t479 = t56*t140
669 t489 = t27*my_rho
670 t496 = -0.1800000000e2_dp*t473*t474*t237 + 0.5999999999e1_dp*t478 &
671 *t479*t17 + 0.8999999998e1_dp*t178*t62*t379 - 0.1800000000e2_dp &
672 *t478*t183*t413 - 0.6000000000e1_dp*t182*t489*t225 + 0.1800000000e2_dp &
673 *t61*t262*t25
674 t498 = t187*t266
675 t500 = t58*t379
676 t503 = t189*t67
677 t508 = t268*t67
678 t511 = t22*t70
679 t512 = t511*t451
680 t515 = t67*t194
681 t516 = t66*t515
682 t517 = t267*t172
683 t520 = t195*t25
684 t526 = t65*t17
685 t527 = t194*t187*t526
686 t530 = t68*t496
687 t531 = t530*t65
688 t534 = t199*t267
689 t537 = t496*t65 + t498*t65 - 0.5555555558e-1_dp*t500*t71 + 0.3703703705e-1_dp &
690 *t503*t271 - 0.5555555558e-1_dp*t503*t275 - 0.1111111112e0_dp &
691 *t508*t196 + 0.1851851853e0_dp*t192*t512 - 0.1111111112e0_dp &
692 *t516*t517 - 0.1111111112e0_dp*t192*t520 - 0.5555555558e-1_dp &
693 *t508*t200 + 0.3703703705e-1_dp*t192*t527 - 0.5555555558e-1_dp &
694 *t192*t531 - 0.5555555558e-1_dp*t192*t534
695 t541 = (2*t147*t394) + (2*t147*t425) - 0.8333333335e-1_dp &
696 *t429*t166*t290 - 0.5555555557e-1_dp*t165*t171*t433 + &
697 0.1666666667e0_dp*t165*t437*t140 + 0.1666666667e0_dp*t165*t166 &
698 *t379 + 0.1666666667e0_dp*t445*t446*t413 - 0.4444444445e0_dp*t170 &
699 *t450*t451 + 0.3333333334e0_dp*t170*t455*t172 + 0.3333333334e0_dp &
700 *t170*t171*t25 + 0.1666666667e0_dp*t165*t462*t237 - &
701 0.1111111111e0_dp*t170*t466*t17 + 0.3333333334e0_dp*t55*t57* &
702 t537
703 e_rho(ii) = e_rho(ii) + (-0.4444444448e0_dp*t214*t79 - 0.6666666672e0_dp*t217*t46 &
704 *t78*t237 - 0.4444444448e0_dp*t43*t283 + t8*(-0.3333333336e0_dp &
705 *t55*t141 - 0.1666666668e0_dp*t289*t84*t290 - 0.3333333336e0_dp &
706 *t83*t295 - 0.3333333336e0_dp*t83*t380 - 0.2222222224e0_dp*t383 &
707 *t384 - 0.3333333336e0_dp*t83*t387 - 0.2222222224e0_dp*t144* &
708 t46*t541))*sx
709 t550 = beta*t25
710 t551 = t27*t31
711 t557 = 0.60e1_dp*t550*t551 + 0.60e1_dp*t24*t23*t132
712 t558 = t105*t557
713 t561 = 0.40e1_dp*t24*t37 - 0.20e1_dp*t102*t558
714 t566 = pi*t146
715 t567 = t566*t149
716 t569 = t151*t19*t561
717 t575 = t20*t561
718 t579 = t58*t561
719 t585 = 0.8999999998e1_dp*t478*t575*t65 - 0.5555555558e-1_dp*t579 &
720 *t71 - 0.5000000001e0_dp*t60*t561*t65
721 t589 = -0.3000000000e1_dp*t567*t569 + 0.1666666667e0_dp*t165*t166 &
722 *t561 + 0.3333333334e0_dp*t55*t57*t585
723 t590 = t46*t589
724 t593 = t140*t561
725 t597 = t45*t589
726 t598 = t597*t140
727 t605 = t24*t92
728 t608 = my_rho*t557
729 t609 = t316*t608
730 t614 = t136*t557
731 t615 = t327*t614
732 t624 = beta*t11
733 t627 = t97*t132
734 t628 = t627*my_rho
735 t635 = -4*t108 + 4*t332*my_rho
736 t637 = t27*t635*t132
737 t640 = 0.1e1_dp/t308
738 t645 = -0.240e2_dp*beta*t107*t551 - 0.240e2_dp*t24*t87*t132 + &
739 0.240e2_dp*t624*t116 + 0.240e2_dp*t605*t628 + 0.60e1_dp*t550*t133 &
740 + 0.60e1_dp*t119*t637 - 0.60e1_dp*t7*t640*t126*t371
741 t646 = t105*t645
742 t649 = -0.320e2_dp*t24*t88 + 0.160e2_dp*t302*t558 + 0.320e2_dp*t605 &
743 *t99 - 0.160e2_dp*t93*t609 - 0.40e1_dp*t112*t137 + 0.40e1_dp*t102 &
744 *t615 - 0.20e1_dp*t102*t646
745 t650 = t84*t649
746 t653 = t384*t561
747 t657 = t44*pi*t146
748 t658 = t657*t178
749 t668 = t25*t561
750 t672 = 0.2250000000e1_dp*t400*t401*t561 - 0.1500000000e1_dp*t151 &
751 *t50*t649 + 0.1500000000e1_dp*t405*t156*t668
752 t673 = t149*t672
753 t679 = t56*t585
754 t689 = t27*t585
755 t705 = -0.1800000000e2_dp*t473*t474*t561 + 0.8999999998e1_dp*t178 &
756 *t62*t649 - 0.1800000000e2_dp*t478*t183*t668
757 t707 = t187*t59
758 t708 = t707*t177
759 t709 = t561*t65
760 t710 = t62*t709
761 t713 = t58*t649
762 t716 = t140*t177
763 t719 = t579*t67
764 t722 = 0.1e1_dp/lambda
765 t723 = t60*t722
766 t728 = t68*t705
767 t729 = t728*t65
768 t732 = t60*t187
769 t735 = t705*t65 + 0.8999999998e1_dp*t708*t710 - 0.5555555558e-1_dp &
770 *t713*t71 - 0.5000000001e0_dp*t716*t709 - 0.1111111112e0_dp*t719 &
771 *t196 - 0.1000000001e1_dp*t723*t709 - 0.5555555558e-1_dp*t719* &
772 t200 - 0.5555555558e-1_dp*t192*t729 - 0.5000000001e0_dp*t732*t709
773 t739 = 0.1800000000e2_dp*t658*t575*t161 + (2*t147*t673) &
774 - 0.8333333335e-1_dp*t429*t166*t593 + 0.1666666667e0_dp*t165*t679 &
775 *t140 + 0.1666666667e0_dp*t165*t166*t649 + 0.1666666667e0_dp &
776 *t445*t446*t668 + 0.3333333334e0_dp*t170*t689*t172 + 0.1666666667e0_dp &
777 *t165*t462*t561 + 0.3333333334e0_dp*t55*t57*t735
778 e_ndrho(ii) = e_ndrho(ii) + (-0.6666666672e0_dp*t217*t46*t78*t561 - 0.4444444448e0_dp &
779 *t43*t590 + t8*(-0.1666666668e0_dp*t289*t84*t593 - 0.3333333336e0_dp &
780 *t83*t598 - 0.3333333336e0_dp*t83*t650 - 0.3333333336e0_dp &
781 *t83*t653 - 0.2222222224e0_dp*t144*t46*t739))*sx
782 END IF
783
784 IF (grad_deriv >= 2) THEN
785 t747 = lambda*t41*omega
786 t753 = t4*t48
787 t754 = t237**2
788 t764 = 0.1e1_dp/t10/t13
789 t765 = t764*t311
790 t766 = t765*t36
791 t769 = t316*t233
792 t772 = t233**2
793 t773 = t327*t772
794 t776 = t10*t8
795 t777 = 0.1e1_dp/t776
796 t782 = t765*t132
797 t785 = t6**2
798 t786 = beta*t785
799 t787 = t10**2
800 t790 = t308*t94
801 t792 = 0.1e1_dp/t787/t106
802 t795 = 0.1e1_dp/t19/t790/t792
803 t796 = 0.1e1_dp/t787/t13*t795
804 t797 = t796*t371
805 t800 = 0.1866666667e2_dp*t24*t777*t341*t31 + 0.4000000000e2_dp* &
806 t7*t782 - 0.1066666667e2_dp*t786*t797
807 t801 = t105*t800
808 t804 = 0.1955555555e2_dp*t7*t766 + 0.1066666667e2_dp*t321*t769 + &
809 0.40e1_dp*t102*t773 - 0.20e1_dp*t102*t801
810 t815 = t68*t237
811 t822 = t44*t194
812 t826 = 0.2250000000e1_dp*t399*t50*t754 - 0.1000000000e1_dp*t405* &
813 t815*t17 - 0.1500000000e1_dp*t151*t50*t804 - 0.6666666667e0_dp &
814 *t49*t822*t14
815 t827 = t149*t826
816 t833 = t237*t17
817 t851 = 0.1800000000e2_dp*t472*t62*t754
818 t852 = t56*t237
819 t855 = 0.1200000000e2_dp*t478*t852*t17
820 t857 = t178*t62*t804
821 t859 = pi*t27
822 t862 = 0.2000000000e1_dp*t61*t859*t14
823 t863 = -t851 + t855 + 0.8999999998e1_dp*t857 + t862
824 t864 = t863*t65
825 t865 = t266**2
826 t866 = t865*t65
827 t867 = t58*t804
828 t874 = t511*t14
829 t877 = t194*t266
830 t878 = t877*t526
831 t881 = t68*t863
832 t882 = t881*t65
833 t886 = t68*t865*t65
834 t889 = t864 + t866 - 0.5555555558e-1_dp*t867*t71 + 0.7407407410e-1_dp &
835 *t508*t271 - 0.1111111112e0_dp*t508*t275 - 0.6172839508e-1_dp* &
836 t192*t874 + 0.7407407410e-1_dp*t192*t878 - 0.5555555558e-1_dp*t192 &
837 *t882 - 0.5555555558e-1_dp*t192*t886
838 t893 = (2*t147*t393*t249) + (2*t147*t827) - 0.8333333335e-1_dp &
839 *t429*t166*t754 - 0.1111111111e0_dp*t165*t171*t833 &
840 + 0.3333333334e0_dp*t165*t437*t237 + 0.1666666667e0_dp*t165 &
841 *t166*t804 + 0.1481481481e0_dp*t170*t450*t14 - 0.2222222222e0_dp &
842 *t170*t455*t17 + 0.3333333334e0_dp*t55*t57*t889
843 t894 = t46*t893
844 t897 = t78*t140
845 t905 = my_rho*t150
846 t906 = t905*omega
847 t907 = t140*t754
848 t914 = t379*t237
849 t918 = t140*t804
850 t922 = t45*t893
851 t923 = t922*t140
852 t926 = t294*t379
853 t929 = t306*t311
854 t930 = t929*t36
855 t940 = 0.1e1_dp/t787/t8
856 t941 = t7*t940
857 t942 = t367*t306
858 t944 = 0.1e1_dp/t20/t942
859 t946 = t944*t36*my_rho
860 t949 = t311*t104
861 t950 = t949*t317
862 t953 = t97*t326
863 t954 = my_rho*t772
864 t955 = t953*t954
865 t958 = my_rho*t800
866 t959 = t316*t958
867 t962 = t7*t764
868 t963 = t949*t136
869 t966 = t953*t328
870 t969 = t316*t375
871 t972 = t103**2
872 t973 = 0.1e1_dp/t972
873 t974 = t22*t973
874 t975 = t136*t772
875 t976 = t974*t975
876 t979 = t375*t233
877 t980 = t327*t979
878 t983 = t136*t800
879 t984 = t327*t983
880 t987 = t219*t341
881 t991 = t929*t132
882 t995 = 0.1e1_dp/t787/t224
883 t997 = t995*t795*t371
884 t1000 = t24*t764
885 t1002 = 0.1e1_dp/t19/t309
886 t1004 = t1002*t31*my_rho
887 t1008 = t944*t132*my_rho
888 t1012 = 0.1e1_dp/t787/t776
889 t1014 = t308**2
890 t1019 = 0.1e1_dp/t19/t1014*t787*t10
891 t1021 = t1019*t371*my_rho
892 t1024 = t24*t777
893 t1026 = t341*t126*t132
894 t1030 = t114*t360*t132
895 t1033 = t308*t12
896 t1034 = 0.1e1_dp/t1033
897 t1036 = t1034*t126*t371
898 t1040 = my_ndrho*t764
899 t1044 = -0.280e3_dp/0.9e1_dp*t356*t341 + 0.280e3_dp/0.9e1_dp*t1040* &
900 t1002*my_rho
901 t1046 = t27*t1044*t132
902 t1050 = t368*t360*t371
903 t1054 = beta*t785*my_ndrho
904 t1055 = t1054*t368
905 t1056 = t130**2
906 t1058 = 0.1e1_dp/t131/t1056
907 t1059 = t126*t1058
908 t1060 = t1059*t220
909 t1063 = -0.1866666667e3_dp*t24*t987*t31 - 0.2240000000e3_dp*t7* &
910 t991 + 0.4266666667e2_dp*t786*t997 + 0.1866666667e3_dp*t1000*t1004 &
911 + 0.2240000000e3_dp*t941*t1008 - 0.4266666667e2_dp*t786*t1012 &
912 *t1021 + 0.1866666667e2_dp*t1024*t1026 - 0.1600000000e2_dp*t350 &
913 *t1030 - 0.5066666667e2_dp*t366*t1036 + 0.60e1_dp*t119*t1046 + &
914 0.1600000000e2_dp*t366*t1050 + 0.3200000000e2_dp*t1055*t1060
915 t1064 = t105*t1063
916 t1067 = -0.2737777778e3_dp*t7*t930 - 0.1173333333e3_dp*t93*t769 - &
917 0.320e2_dp*t302*t773 + 0.160e2_dp*t302*t801 + 0.2737777778e3_dp* &
918 t941*t946 + 0.1173333333e3_dp*t307*t950 + 0.320e2_dp*t93*t955 &
919 - 0.160e2_dp*t93*t959 - 0.1955555555e2_dp*t962*t963 - 0.2133333334e2_dp &
920 *t321*t966 + 0.1066666667e2_dp*t321*t969 - 0.120e2_dp*t102 &
921 *t976 + 0.80e1_dp*t102*t980 + 0.40e1_dp*t102*t984 - 0.20e1_dp*t102 &
922 *t1064
923 t1068 = t84*t1067
924 t1071 = t45*t541
925 t1076 = t384*t754
926 t1079 = t1071*t237
927 t1082 = t384*t804
928 t1085 = t379*t17
929 t1089 = t114*t278
930 t1093 = t25*t804
931 t1097 = t187*t865
932 t1099 = t97*t70
933 t1100 = my_rho*t777
934 t1101 = t1099*t1100
935 t1106 = t500*t67
936 t1109 = t187*t863
937 t1111 = t496*t266
938 t1119 = t194*t496*t526
939 t1122 = t199*t866
940 t1125 = t65*t25
941 t1126 = t877*t1125
942 t1129 = t867*t67
943 t1134 = t866*t172
944 t1137 = t268*t515
945 t1140 = t176**2
946 t1141 = 0.1e1_dp/t1140
947 t1142 = t59*t1141
948 t1143 = t1142*pi
949 t1150 = t20*t379
950 t1157 = t27*t140
951 t1161 = t56*t379
952 t1168 = t25*t754
953 t1172 = t225*t237
954 t1176 = t56*t25
955 t1189 = 0.5400000000e2_dp*t1143*t474*t754 - 0.2400000000e2_dp*t473 &
956 *t479*t833 - 0.3600000000e2_dp*t473*t1150*t237 - 0.1800000000e2_dp &
957 *t473*t474*t804 - 0.2000000000e1_dp*t478*t1157*t14 + &
958 0.1200000000e2_dp*t478*t1161*t17 + 0.8999999998e1_dp*t178*t62 &
959 *t1067 + 0.3600000000e2_dp*t473*t183*t1168 + 0.1200000000e2_dp* &
960 t478*t489*t1172 - 0.3600000000e2_dp*t478*t1176*t237 - 0.1800000000e2_dp &
961 *t478*t183*t1093 + 0.8000000000e1_dp*t182*t123* &
962 t777 - 0.1200000000e2_dp*t61*t859*t225
963 t1191 = (t1097*t65) - 0.4938271608e0_dp*t192*t1101 - 0.6172839508e-1_dp &
964 *t503*t874 - 0.1111111112e0_dp*t1106*t275 + (t1109 &
965 *t65) + (2*t1111*t65) + 0.3703703706e0_dp*t508*t512 + &
966 0.7407407410e-1_dp*t503*t878 + 0.7407407410e-1_dp*t192*t1119 - 0.5555555558e-1_dp &
967 *t192*t1122 - 0.2222222224e0_dp*t192*t1126 - 0.1111111112e0_dp &
968 *t1129*t196 - 0.5555555558e-1_dp*t503*t882 - 0.1111111112e0_dp &
969 *t516*t1134 - 0.2222222224e0_dp*t1137*t517 + (t1189 &
970 *t65)
971 t1192 = t67*t22
972 t1193 = t66*t1192
973 t1194 = t267*t451
974 t1200 = t65*t14
975 t1201 = t22*t187*t1200
976 t1206 = t68*t1189
977 t1207 = t1206*t65
978 t1210 = t58*t1067
979 t1213 = t511*t225
980 t1216 = t864*t172
981 t1221 = t498*t526
982 t1224 = t530*t267
983 t1235 = t199*t864
984 t1238 = 0.3703703706e0_dp*t1193*t1194 - 0.5555555558e-1_dp*t503*t886 &
985 - 0.6172839508e-1_dp*t192*t1201 - 0.5555555558e-1_dp*t1129*t200 &
986 - 0.5555555558e-1_dp*t192*t1207 - 0.5555555558e-1_dp*t1210*t71 &
987 + 0.3703703706e0_dp*t192*t1213 - 0.1111111112e0_dp*t516*t1216 &
988 - 0.1111111112e0_dp*t508*t534 + 0.7407407410e-1_dp*t516*t1221 - &
989 0.1111111112e0_dp*t192*t1224 + 0.7407407410e-1_dp*t508*t527 + 0.7407407410e-1_dp &
990 *t1106*t271 - 0.1111111112e0_dp*t508*t531 - 0.2222222224e0_dp &
991 *t508*t520 - 0.5555555558e-1_dp*t192*t1235
992 t1239 = t1191 + t1238
993 t1246 = t428*t444
994 t1247 = t74*t140
995 t1254 = t27*t889
996 t1264 = t27*t537
997 t1268 = t341*t74
998 t1275 = t56*t889
999 t1283 = -t851 + t855 + 0.9000000000e1_dp*t857 + t862
1000 t1284 = t1283*t149
1001 t1288 = -0.1111111111e0_dp*t165*t171*t1085 - 0.8888888890e0_dp*t170 &
1002 *t1089*t451 + 0.1666666667e0_dp*t445*t446*t1093 + 0.3333333334e0_dp &
1003 *t55*t57*t1239 - 0.8333333335e-1_dp*t429*t462*t754 &
1004 + 0.5555555556e-1_dp*t1246*t1247*t833 + (4*t147*t393* &
1005 t424) + 0.3333333334e0_dp*t170*t1254*t172 - 0.1111111111e0_dp*t165 &
1006 *t466*t833 + 0.3333333334e0_dp*t165*t437*t379 - 0.2222222222e0_dp &
1007 *t170*t1264*t17 + 0.1037037037e1_dp*t170*t1268*t1100 &
1008 + 0.1666666667e0_dp*t165*t166*t1067 + 0.1666666667e0_dp*t165* &
1009 t1275*t140 - 0.8333333335e-1_dp*t1246*t446*t1168 + (2* &
1010 t147*t1284*t160)
1011 t1292 = t278*my_rho
1012 t1300 = 0.1e1_dp/t41/t470
1013 t1301 = t47*t1300
1014 t1302 = t1301*t44
1015 t1309 = t19*t379
1016 t1316 = t194*t140
1017 t1320 = t68*t379
1018 t1333 = t68*t25
1019 t1340 = t22*my_rho
1020 t1347 = -0.5625000000e1_dp*t1302*t401*t754 + 0.1500000000e1_dp*t400 &
1021 *t406*t833 + 0.4500000000e1_dp*t400*t1309*t237 + 0.2250000000e1_dp &
1022 *t400*t401*t804 + 0.3333333333e0_dp*t405*t1316*t14 &
1023 - 0.1000000000e1_dp*t405*t1320*t17 - 0.1500000000e1_dp*t151*t50 &
1024 *t1067 - 0.2250000000e1_dp*t400*t156*t1168 - 0.2000000000e1_dp &
1025 *t405*t417*t1172 + 0.3000000000e1_dp*t405*t1333*t237 + 0.1500000000e1_dp &
1026 *t405*t156*t1093 - 0.3333333333e1_dp*t155*t1340 &
1027 *t777 + 0.4000000000e1_dp*t49*t822*t225
1028 t1348 = t149*t1347
1029 t1360 = t140*t14
1030 t1367 = omega*t398
1031 t1368 = t1367*t45
1032 t1372 = t45*t114
1033 t1373 = t164*t1372
1034 t1377 = t114*t203
1035 t1387 = t392**2
1036 t1388 = t1387*t149
1037 t1392 = t56*t537
1038 t1396 = 0.6666666668e0_dp*t170*t455*t25 + 0.3333333334e0_dp*t445 &
1039 *t1292*t413 + 0.1666666667e0_dp*t165*t462*t804 + (2*t147 &
1040 *t1348) - 0.1111111111e0_dp*t165*t455*t433 - 0.8333333335e-1_dp &
1041 *t429*t166*t918 + 0.3333333334e0_dp*t165*t171*t413 + 0.7407407409e-1_dp &
1042 *t165*t450*t1360 - 0.1666666667e0_dp*t429*t437 &
1043 *t290 + 0.1250000000e0_dp*t1368*t166*t907 - 0.4444444445e0_dp*t1373 &
1044 *t446*t1172 + 0.1481481481e0_dp*t170*t1377*t14 - 0.8888888890e0_dp &
1045 *t170*t450*t225 - 0.1666666667e0_dp*t429*t166*t914 &
1046 + (2*t147*t1388*t160) + 0.3333333334e0_dp*t165*t1392 &
1047 *t237
1048 t1397 = t1288 + t1396
1049 t1401 = -0.3333333336e0_dp*t165*t897*t237 - 0.6666666672e0_dp*t55 &
1050 *t295 - 0.6666666672e0_dp*t55*t380 + 0.8333333340e-1_dp*t906*t84 &
1051 *t907 - 0.3333333336e0_dp*t289*t294*t290 - 0.3333333336e0_dp* &
1052 t289*t84*t914 - 0.1666666668e0_dp*t289*t84*t918 - 0.3333333336e0_dp &
1053 *t83*t923 - 0.6666666672e0_dp*t83*t926 - 0.3333333336e0_dp &
1054 *t83*t1068 - 0.4444444448e0_dp*t383*t1071 - 0.6666666672e0_dp* &
1055 t55*t387 - 0.1666666668e0_dp*t289*t1076 - 0.6666666672e0_dp*t83 &
1056 *t1079 - 0.3333333336e0_dp*t83*t1082 - 0.2222222224e0_dp*t144*t46 &
1057 *t1397
1058 e_rho_rho(ii) = e_rho_rho(ii) + (-0.1333333334e1_dp*t747*t84*t237 - 0.8888888896e0_dp*t214 &
1059 *t283 - 0.3333333336e0_dp*t753*t46*t78*t754 - 0.1333333334e1_dp &
1060 *t217*t46*t282*t237 - 0.6666666672e0_dp*t217*t46*t78* &
1061 t804 - 0.4444444448e0_dp*t43*t894 + t8*t1401)*sx
1062 t1406 = 0.6666666672e0_dp*t747*t84*t561
1063 t1408 = 0.4444444448e0_dp*t214*t590
1064 t1409 = t4*t164
1065 t1410 = t237*t561
1066 t1411 = t84*t1410
1067 t1413 = 0.3333333336e0_dp*t1409*t1411
1068 t1417 = 0.6666666672e0_dp*t217*t46*t589*t237
1069 t1420 = t316*t557
1070 t1425 = t233*t557
1071 t1426 = t327*t1425
1072 t1429 = beta*t225
1073 t1436 = t1033*t940
1074 t1438 = 0.1e1_dp/t19/t1436
1075 t1439 = 0.1e1_dp/t787/t16*t1438
1076 t1440 = t1439*t371
1077 t1443 = -0.8000000000e1_dp*t1429*t115 - 0.2400000000e2_dp*t24*t230 &
1078 + 0.8000000000e1_dp*t366*t1440
1079 t1444 = t105*t1443
1080 t1447 = -0.1066666667e2_dp*t24*t221 + 0.5333333333e1_dp*t321*t1420 &
1081 - 0.40e1_dp*t112*t234 + 0.40e1_dp*t102*t1426 - 0.20e1_dp*t102* &
1082 t1444
1083 t1451 = 0.6666666672e0_dp*t217*t46*t78*t1447
1084 t1455 = 0.6666666672e0_dp*t217*t46*t282*t561
1085 t1459 = t19*t237
1086 t1466 = t68*t17
1087 t1470 = 0.2250000000e1_dp*t400*t1459*t561 - 0.1500000000e1_dp*t151 &
1088 *t50*t1447 - 0.5000000000e0_dp*t405*t1466*t561
1089 t1471 = t149*t1470
1090 t1476 = 0.8333333335e-1_dp*t429*t166*t1410
1091 t1479 = 0.1666666667e0_dp*t165*t679*t237
1092 t1482 = 0.1666666667e0_dp*t165*t166*t1447
1093 t1483 = t17*t561
1094 t1485 = t165*t171*t1483
1095 t1489 = 0.1111111111e0_dp*t170*t689*t17
1096 t1492 = 0.1666666667e0_dp*t165*t437*t561
1097 t1493 = t20*t237
1098 t1496 = 0.1800000000e2_dp*t473*t1493*t561
1099 t1498 = t178*t62*t1447
1100 t1500 = t56*t17
1101 t1502 = t478*t1500*t561
1102 t1504 = -t1496 + 0.8999999998e1_dp*t1498 + 0.5999999999e1_dp*t1502
1103 t1505 = t1504*t65
1104 t1506 = t266*t59
1105 t1507 = t1506*t177
1106 t1509 = 0.8999999998e1_dp*t1507*t710
1107 t1510 = t58*t1447
1108 t1512 = 0.5555555558e-1_dp*t1510*t71
1109 t1513 = t237*t177
1110 t1515 = 0.5000000001e0_dp*t1513*t709
1111 t1517 = 0.3703703705e-1_dp*t719*t271
1112 t1518 = 0.1e1_dp/my_rho
1113 t1519 = t60*t1518
1114 t1523 = 0.5555555558e-1_dp*t719*t275
1115 t1525 = t68*t1504*t65
1116 t1528 = t60*t266
1117 t1530 = 0.5000000001e0_dp*t1528*t709
1118 t1531 = t1505 + t1509 - t1512 - t1515 + t1517 + 0.3333333334e0_dp*t1519 &
1119 *t709 - t1523 - 0.5555555558e-1_dp*t192*t1525 - t1530
1120 t1535 = 0.1800000000e2_dp*t658*t575*t250 + (2*t147*t1471) &
1121 - t1476 + t1479 + t1482 - 0.5555555555e-1_dp*t1485 - t1489 + t1492 &
1122 + 0.3333333334e0_dp*t55*t57*t1531
1123 t1536 = t46*t1535
1124 t1541 = 0.1666666668e0_dp*t165*t897*t561
1125 t1543 = 0.3333333336e0_dp*t55*t598
1126 t1545 = 0.3333333336e0_dp*t55*t650
1127 t1546 = t905*t46
1128 t1547 = t897*t1410
1129 t1549 = 0.8333333340e-1_dp*t1546*t1547
1130 t1552 = 0.1666666668e0_dp*t289*t597*t290
1131 t1553 = t649*t237
1132 t1556 = 0.1666666668e0_dp*t289*t84*t1553
1133 t1557 = t140*t1447
1134 t1560 = 0.1666666668e0_dp*t289*t84*t1557
1135 t1563 = 0.1666666668e0_dp*t289*t294*t593
1136 t1564 = t45*t1535
1137 t1565 = t1564*t140
1138 t1568 = t294*t649
1139 t1570 = 0.3333333336e0_dp*t83*t1568
1140 t1571 = t379*t561
1141 t1574 = 0.1666666668e0_dp*t289*t84*t1571
1142 t1575 = t597*t379
1143 t1577 = 0.3333333336e0_dp*t83*t1575
1144 t1579 = 0.1173333333e3_dp*t24*t299
1145 t1581 = 0.5866666667e2_dp*t93*t1420
1146 t1582 = t24*t86
1147 t1584 = 0.320e2_dp*t1582*t234
1148 t1586 = 0.320e2_dp*t302*t1426
1149 t1588 = 0.160e2_dp*t302*t1444
1150 t1589 = t24*t306
1151 t1591 = 0.1173333333e3_dp*t1589*t313
1152 t1592 = t949*t608
1153 t1594 = 0.5866666667e2_dp*t307*t1592
1154 t1596 = 0.320e2_dp*t605*t318
1155 t1597 = t7*t298
1156 t1598 = t326*my_rho
1157 t1599 = t1598*t1425
1158 t1601 = 0.320e2_dp*t1597*t1599
1159 t1602 = my_rho*t1443
1160 t1603 = t316*t1602
1161 t1605 = 0.160e2_dp*t93*t1603
1162 t1607 = 0.1066666667e2_dp*t339*t322
1163 t1608 = t953*t614
1164 t1610 = 0.1066666667e2_dp*t321*t1608
1165 t1611 = t316*t645
1166 t1613 = 0.5333333333e1_dp*t321*t1611
1167 t1615 = 0.80e1_dp*t112*t329
1168 t1616 = t7*t23
1169 t1617 = t973*t136
1170 t1618 = t1617*t1425
1171 t1620 = 0.120e2_dp*t1616*t1618
1172 t1621 = t645*t233
1173 t1622 = t327*t1621
1174 t1624 = 0.40e1_dp*t102*t1622
1175 t1625 = t136*t1443
1176 t1626 = t327*t1625
1177 t1628 = 0.40e1_dp*t102*t1626
1178 t1630 = 0.40e1_dp*t112*t376
1179 t1631 = t375*t557
1180 t1632 = t327*t1631
1181 t1634 = 0.40e1_dp*t102*t1632
1182 t1636 = 0.5600000000e2_dp*t624*t115
1183 t1638 = 0.1200000000e3_dp*t24*t336
1184 t1640 = 0.1e1_dp/t787/t9
1185 t1642 = t1640*t1438*t371
1186 t1644 = 0.3200000000e2_dp*t366*t1642
1187 t1645 = beta*t219
1188 t1647 = 0.5600000000e2_dp*t1645*t343
1189 t1649 = 0.1200000000e3_dp*t1589*t347
1190 t1652 = t795*t371*my_rho
1191 t1654 = 0.3200000000e2_dp*t366*t995*t1652
1192 t1656 = 0.8000000000e1_dp*t1429*t352
1193 t1658 = t114*t635*t132
1194 t1660 = 0.8000000000e1_dp*t350*t1658
1195 t1662 = 0.3200000000e2_dp*t7*t372
1196 t1664 = 0.60e1_dp*t550*t362
1197 t1667 = 0.28e2_dp/0.3e1_dp*t332 - 0.28e2_dp/0.3e1_dp*t987*my_rho
1198 t1669 = t27*t1667*t132
1199 t1671 = 0.60e1_dp*t119*t1669
1200 t1675 = 0.60e1_dp*t7*t640*t360*t371
1201 t1677 = t368*t635*t371
1202 t1679 = 0.8000000000e1_dp*t366*t1677
1203 t1680 = t786*t368
1204 t1681 = t1059*t23
1205 t1684 = t1636 + t1638 - t1644 - t1647 - t1649 + t1654 - t1656 - t1660 &
1206 + t1662 + t1664 + t1671 - t1675 + t1679 - 0.2400000000e2_dp*t1680 &
1207 *t1681
1208 t1685 = t105*t1684
1209 t1688 = t1579 - t1581 + t1584 - t1586 + t1588 - t1591 + t1594 - t1596 &
1210 + t1601 - t1605 + t1607 - t1610 + t1613 + t1615 - t1620 + t1624 &
1211 + t1628 - t1630 + t1634 - 0.20e1_dp*t102*t1685
1212 t1689 = t84*t1688
1213 t1693 = 0.3333333336e0_dp*t55*t653
1214 t1694 = t45*t739
1215 t1696 = 0.2222222224e0_dp*t383*t1694
1216 t1699 = 0.1666666668e0_dp*t289*t384*t1410
1217 t1700 = t1694*t237
1218 t1702 = 0.3333333336e0_dp*t83*t1700
1219 t1703 = t384*t1447
1220 t1705 = 0.3333333336e0_dp*t83*t1703
1221 t1706 = t1071*t561
1222 t1708 = 0.3333333336e0_dp*t83*t1706
1223 t1709 = t187*t1504
1224 t1712 = t266*t561*t65
1225 t1714 = 0.5000000001e0_dp*t732*t1712
1226 t1715 = t713*t67
1227 t1717 = 0.3703703705e-1_dp*t1715*t271
1228 t1718 = t705*t266
1229 t1719 = t1718*t65
1230 t1720 = t140*t266
1231 t1722 = t177*t561*t65
1232 t1724 = 0.5000000001e0_dp*t1720*t1722
1233 t1726 = t194*t705*t526
1234 t1728 = 0.3703703705e-1_dp*t192*t1726
1235 t1730 = 0.1111111112e0_dp*t719*t520
1236 t1731 = t58*t1688
1237 t1735 = 0.3703703705e-1_dp*t719*t527
1238 t1737 = t722*t561*t65
1239 t1740 = t496*t59
1240 t1741 = t1740*t177
1241 t1743 = 0.8999999998e1_dp*t1741*t710
1242 t1745 = t187*t561*t65
1243 t1748 = t140*t1518
1244 t1752 = 0.1851851853e0_dp*t719*t512
1245 t1754 = 0.5555555558e-1_dp*t1715*t275
1246 t1755 = t1510*t67
1247 t1757 = 0.1111111112e0_dp*t1755*t196
1248 t1758 = t1709*t65 - t1714 + t1717 + t1719 - t1724 + t1728 - t1730 &
1249 - 0.5555555558e-1_dp*t1731*t71 + t1735 + 0.666666666e0_dp*t1519* &
1250 t1737 + t1743 + 0.3333333334e0_dp*t1519*t1745 + 0.3333333334e0_dp* &
1251 t1748*t1722 + t1752 - t1754 - t1757
1252 t1760 = 0.5555555558e-1_dp*t719*t534
1253 t1762 = 0.5555555558e-1_dp*t1755*t200
1254 t1763 = t237*t722
1255 t1765 = 0.1000000001e1_dp*t1763*t1722
1256 t1766 = t237*t187
1257 t1768 = 0.5000000001e0_dp*t1766*t1722
1258 t1769 = t199*t1505
1259 t1773 = 0.5555555558e-1_dp*t719*t531
1260 t1774 = t60*t496
1261 t1776 = 0.5000000001e0_dp*t1774*t709
1262 t1777 = t379*t177
1263 t1779 = 0.5000000001e0_dp*t1777*t709
1264 t1782 = t728*t267
1265 t1784 = 0.5555555558e-1_dp*t192*t1782
1266 t1785 = t579*t515
1267 t1787 = 0.1111111112e0_dp*t1785*t517
1268 t1789 = 0.5555555558e-1_dp*t508*t729
1269 t1790 = t1505*t172
1270 t1794 = 0.1000000001e1_dp*t723*t1712
1271 t1795 = t498*t178
1272 t1797 = 0.8999999998e1_dp*t1795*t710
1273 t1800 = 0.5400000000e2_dp*t1143*t474*t1410
1274 t1801 = t20*t649
1275 t1804 = 0.1800000000e2_dp*t473*t1801*t237
1276 t1807 = 0.1800000000e2_dp*t473*t474*t1447
1277 t1810 = 0.1200000000e2_dp*t473*t479*t1483
1278 t1811 = t56*t649
1279 t1814 = 0.5999999999e1_dp*t478*t1811*t17
1280 t1817 = 0.1800000000e2_dp*t473*t1150*t561
1281 t1821 = t472*t262
1282 t1822 = t172*t1410
1283 t1824 = 0.3600000000e2_dp*t1821*t1822
1284 t1825 = t25*t1447
1285 t1828 = 0.1800000000e2_dp*t478*t183*t1825
1286 t1829 = t225*t561
1287 t1832 = 0.6000000000e1_dp*t478*t489*t1829
1288 t1835 = 0.1800000000e2_dp*t478*t1176*t561
1289 t1836 = t1800 - t1804 - t1807 - t1810 + t1814 - t1817 + 0.8999999998e1_dp &
1290 *t178*t62*t1688 + t1824 - t1828 + t1832 - t1835
1291 t1837 = t68*t1836
1292 t1838 = t1837*t65
1293 t1842 = -t1760 - t1762 - t1765 - t1768 - 0.5555555558e-1_dp*t192*t1769 &
1294 - t1773 - t1776 - t1779 - 0.5555555558e-1_dp*t503*t1525 - t1784 &
1295 - t1787 - t1789 - 0.1111111112e0_dp*t516*t1790 - t1794 + t1797 &
1296 - 0.5555555558e-1_dp*t192*t1838 + t1836*t65
1297 t1843 = t1758 + t1842
1298 t1849 = 0.8333333335e-1_dp*t429*t166*t1571
1299 t1852 = 0.8333333335e-1_dp*t429*t679*t290
1300 t1854 = t165*t466*t1483
1301 t1858 = 0.1666666667e0_dp*t445*t446*t1825
1302 t1861 = 0.1800000000e2_dp*t658*t575*t425
1303 t1864 = 0.1666666667e0_dp*t445*t1292*t668
1304 t1865 = t413*t561
1305 t1868 = 0.8333333335e-1_dp*t1246*t446*t1865
1306 t1871 = 2*t147*t393*t672
1307 t1874 = 0.3333333334e0_dp*t170*t689*t25
1308 t1875 = t114*t585
1309 t1878 = 0.4444444445e0_dp*t170*t1875*t451
1310 t1881 = 0.1666666667e0_dp*t165*t437*t649
1311 t1884 = -t1496 + 0.9000000000e1_dp*t1498 + 0.6000000000e1_dp*t1502
1312 t1885 = t1884*t149
1313 t1886 = t1885*t160
1314 t1891 = 0.5625000000e1_dp*t1302*t401*t1410
1315 t1892 = t19*t649
1316 t1895 = 0.2250000000e1_dp*t400*t1892*t237
1317 t1898 = 0.2250000000e1_dp*t400*t401*t1447
1318 t1901 = 0.7500000000e0_dp*t400*t406*t1483
1319 t1902 = t68*t649
1320 t1905 = 0.5000000000e0_dp*t405*t1902*t17
1321 t1908 = 0.2250000000e1_dp*t400*t1309*t561
1322 t1912 = t399*t245
1323 t1914 = 0.2250000000e1_dp*t1912*t1822
1324 t1917 = 0.1500000000e1_dp*t405*t156*t1825
1325 t1920 = 0.1000000000e1_dp*t405*t417*t1829
1326 t1923 = 0.1500000000e1_dp*t405*t1333*t561
1327 t1924 = -t1891 + t1895 + t1898 + t1901 - t1905 + t1908 - 0.1500000000e1_dp &
1328 *t151*t50*t1688 - t1914 + t1917 - t1920 + t1923
1329 t1925 = t149*t1924
1330 t1928 = t56*t1531
1331 t1932 = t27*t1531
1332 t1938 = 0.1666666667e0_dp*t165*t462*t1447
1333 t1939 = 0.3333333334e0_dp*t55*t57*t1843 - t1849 - t1852 - 0.5555555555e-1_dp &
1334 *t1854 + t1858 + t1861 + t1864 - t1868 + t1871 + t1874 &
1335 - t1878 + t1881 + (2*t147*t1886) + (2*t147*t1925) &
1336 + 0.1666666667e0_dp*t165*t1928*t140 + 0.3333333334e0_dp*t170*t1932 &
1337 *t172 + t1938
1338 t1940 = t27*t735
1339 t1943 = 0.1111111111e0_dp*t170*t1940*t17
1340 t1946 = 0.1666666667e0_dp*t165*t1392*t561
1341 t1952 = 0.5555555557e-1_dp*t165*t689*t433
1342 t1954 = t1373*t446*t1829
1343 t1958 = 0.8333333335e-1_dp*t429*t166*t1553
1344 t1961 = 0.1666666667e0_dp*t165*t679*t379
1345 t1962 = t585*my_rho
1346 t1965 = 0.1666666667e0_dp*t445*t1962*t413
1347 t1966 = t56*t735
1348 t1969 = 0.1666666667e0_dp*t165*t1966*t237
1349 t1971 = t657*t392*t59
1350 t1972 = t177*t20
1351 t1973 = t561*t149
1352 t1974 = t1973*t160
1353 t1975 = t1972*t1974
1354 t1977 = 0.1800000000e2_dp*t1971*t1975
1355 t1980 = 0.2777777778e-1_dp*t1246*t1247*t1483
1356 t1981 = t1367*t57
1357 t1984 = 0.1250000000e0_dp*t1981*t1247*t1410
1358 t1987 = 0.8333333335e-1_dp*t429*t437*t593
1359 t1988 = t649*t17
1360 t1991 = 0.5555555557e-1_dp*t165*t171*t1988
1361 t1994 = 0.8333333335e-1_dp*t429*t166*t1557
1362 t1997 = 0.1666666667e0_dp*t165*t171*t668
1363 t2000 = 0.8333333335e-1_dp*t429*t462*t1410
1364 t2001 = -t1943 + t1946 + 0.1666666667e0_dp*t165*t166*t1688 - t1952 &
1365 - 0.2222222222e0_dp*t1954 - t1958 + t1961 + t1965 + t1969 + t1977 &
1366 + t1980 + t1984 - t1987 - t1991 - t1994 + t1997 - t2000
1367 t2002 = t1939 + t2001
1368 t2006 = -t1541 - t1543 - t1545 + t1549 - t1552 - t1556 - t1560 - t1563 &
1369 - 0.3333333336e0_dp*t83*t1565 - t1570 - t1574 - t1577 - 0.3333333336e0_dp &
1370 *t83*t1689 - t1693 - t1696 - t1699 - t1702 - t1705 - &
1371 t1708 - 0.2222222224e0_dp*t144*t46*t2002
1372 e_ndrho_rho(ii) = e_ndrho_rho(ii) + (-t1406 - t1408 - t1413 - t1417 - t1451 - t1455 - 0.4444444448e0_dp &
1373 *t43*t1536 + t8*t2006)*sx
1374 t2009 = t566*t393
1375 t2013 = t566*t149*t47
1376 t2014 = t398*t19
1377 t2018 = t150*t68
1378 t2022 = t19*t1447
1379 t2027 = t65*t237
1380 t2028 = t575*t2027
1381 t2031 = t56*t561
1382 t2032 = t2031*t526
1383 t2035 = t20*t1447
1384 t2042 = -0.1800000000e2_dp*t473*t2028 + 0.5999999999e1_dp*t478*t2032 &
1385 + 0.8999999998e1_dp*t478*t2035*t65 + t1509 - t1512 + t1517 &
1386 - t1523 + t1515 - 0.5000000001e0_dp*t60*t1447*t65 - t1530
1387 t2046 = -0.3000000000e1_dp*t2009*t569 + 0.4500000000e1_dp*t2013*t2014 &
1388 *t1410 - 0.1000000000e1_dp*t2013*t2018*t1483 - 0.3000000000e1_dp &
1389 *t567*t151*t2022 - t1476 - 0.5555555557e-1_dp*t1485 + t1492 &
1390 + t1482 + t1479 - t1489 + 0.3333333334e0_dp*t55*t57*t2042
1391 t2050 = t45*t2046
1392 t2054 = t786*t640
1393 t2057 = t1636 + t1638 - t1644 - t1647 - t1649 + t1654 - t1656 + t1664 &
1394 + t1662 - t1660 + t1671 + t1679 - t1675 - 0.240e2_dp*t2054*t1060
1395 t2058 = t105*t2057
1396 t2061 = t1579 + t1584 - t1581 - t1586 + t1588 - t1591 - t1596 + t1594 &
1397 + t1601 - t1605 + t1607 + t1615 - t1630 - t1610 - t1620 + t1634 &
1398 + t1628 + t1613 + t1624 - 0.20e1_dp*t102*t2058
1399 t2073 = -t1891 + t1901 + t1908 + t1898 + t1895 - t1905 - 0.1500000000e1_dp &
1400 *t151*t50*t2061 - t1914 - t1920 + t1923 + t1917
1401 t2074 = t149*t2073
1402 t2077 = t161*t17
1403 t2081 = t657*t472
1404 t2082 = t161*t237
1405 t2086 = -t1849 - t1852 - 0.5555555557e-1_dp*t1854 + t1858 + t1861 + &
1406 t1864 - t1868 + t1871 + t1874 + 0.3333333334e0_dp*t170*t27*t2042 &
1407 *t172 - t1878 + (2*t147*t2074) + t1881 + t1938 - t1943 &
1408 + 0.1200000000e2_dp*t658*t2031*t2077 + t1946 - 0.3600000000e2_dp* &
1409 t2081*t575*t2082
1410 t2088 = t56*t2042
1411 t2095 = t1447*t65
1412 t2098 = t140*t471
1413 t2099 = t709*t237
1414 t2104 = t62*t2095
1415 t2107 = -t1714 + t1717 + t1719 - t1724 + t1728 - 0.5000000001e0_dp*t716 &
1416 *t2095 + 0.1000000000e1_dp*t2098*t2099 - 0.1000000001e1_dp*t723 &
1417 *t2095 - t1730 + t1735 + t1743 + 0.8999999998e1_dp*t708*t2104 &
1418 + t1752 - t1754 - t1757 - t1760
1419 t2113 = t177*pi
1420 t2114 = t707*t2113
1421 t2117 = t471*pi
1422 t2118 = t707*t2117
1423 t2124 = t1800 - t1810 - t1817 - t1807 - t1804 + t1814 + 0.8999999998e1_dp &
1424 *t178*t62*t2061 + t1824 + t1832 - t1835 - t1828
1425 t2126 = t68*t2124*t65
1426 t2130 = -0.5000000001e0_dp*t732*t2095 - 0.5555555558e-1_dp*t58*t2061 &
1427 *t71 - t1762 + t1765 + t1768 + 0.5999999999e1_dp*t2114*t2032 &
1428 - t1773 - t1776 - 0.1800000000e2_dp*t2118*t2028 - 0.5555555558e-1_dp &
1429 *t192*t2126 - t1779 - t1784 - t1787 - t1789 - t1794 + t1797 + &
1430 t2124*t65
1431 t2131 = t2107 + t2130
1432 t2138 = -t1952 - 0.2222222223e0_dp*t1954 - t1958 + t1961 + t1965 + t1969 &
1433 + t1977 + t1980 + 0.1666666667e0_dp*t165*t2088*t140 + 0.1800000000e2_dp &
1434 *t658*t2035*t161 + 0.3333333334e0_dp*t55*t57*t2131 &
1435 + t1984 + 0.1666666667e0_dp*t165*t166*t2061 - t1987 - t1991 &
1436 - t1994 + t1997 - t2000
1437 t2139 = t2086 + t2138
1438 t2143 = -t1541 + t1549 - t1563 - t1574 - t1560 - t1543 - t1552 - 0.3333333336e0_dp &
1439 *t83*t2050*t140 - t1577 - t1545 - t1556 - t1570 &
1440 - 0.3333333336e0_dp*t83*t84*t2061 - t1693 - t1699 - t1708 - t1705 &
1441 - t1696 - t1702 - 0.2222222224e0_dp*t144*t46*t2139
1442 e_ndrho_ndrho(ii) = e_ndrho_ndrho(ii) + (-t1406 - t1413 - t1455 - t1451 - t1408 - t1417 - 0.4444444448e0_dp &
1443 *t43*t46*t2046 + t8*t2143)*sx
1444 t2147 = lambda*t48*omega
1445 t2160 = t754*t237
1446 t2169 = t237*t804
1447 t2182 = 0.1e1_dp/t787/lambda
1448 t2183 = t2182*t944
1449 t2187 = t949*t233
1450 t2190 = t953*t772
1451 t2193 = t316*t800
1452 t2196 = t772*t233
1453 t2197 = t974*t2196
1454 t2200 = t233*t800
1455 t2201 = t327*t2200
1456 t2204 = t10*t106
1457 t2205 = 0.1e1_dp/t2204
1458 t2220 = beta*t785*t6
1459 t2226 = -0.6222222223e2_dp*t24*t2205*t1002*t31 - 0.2115555556e3_dp &
1460 *t7*t2183*t132 + 0.1315555556e3_dp*t786/t787/t85*t1019 &
1461 *t371 - 0.4266666668e2_dp*t2220/t1014/t94*t1058
1462 t2227 = t105*t2226
1463 t2230 = -0.9125925923e2_dp*t7*t2183*t36 - 0.5866666667e2_dp*t962 &
1464 *t2187 - 0.3200000001e2_dp*t321*t2190 + 0.1600000000e2_dp*t321* &
1465 t2193 - 0.120e2_dp*t102*t2197 + 0.120e2_dp*t102*t2201 - 0.20e1_dp* &
1466 t102*t2227
1467 t2257 = 0.5400000000e2_dp*t1142*t62*t2160
1468 t2261 = 0.3600000000e2_dp*t473*t56*t754*t17
1469 t2264 = 0.5400000000e2_dp*t473*t1493*t804
1470 t2268 = 0.6000000000e1_dp*t478*t27*t237*t14
1471 t2272 = 0.1800000000e2_dp*t478*t56*t804*t17
1472 t2274 = t178*t62*t2230
1473 t2276 = pi*t114
1474 t2279 = 0.2666666667e1_dp*t61*t2276*t86
1475 t2280 = t2257 - t2261 - t2264 - t2268 + t2272 + 0.8999999998e1_dp*t2274 &
1476 - t2279
1477 t2281 = t2280*t65
1478 t2282 = t881*t267
1479 t2285 = t865*t266
1480 t2287 = t68*t2285*t65
1481 t2292 = t863*t266
1482 t2295 = t2285*t65
1483 t2296 = t58*t2230
1484 t2299 = t194*t865
1485 t2300 = t2299*t526
1486 t2304 = t68*t2280*t65
1487 t2307 = t22*t266
1488 t2308 = t2307*t1200
1489 t2311 = t194*t863
1490 t2312 = t2311*t526
1491 t2319 = t1099*t86
1492 t2326 = -0.1851851853e0_dp*t508*t874 + t2281 - 0.1666666668e0_dp*t192 &
1493 *t2282 - 0.5555555558e-1_dp*t192*t2287 - 0.1666666668e0_dp*t508 &
1494 *t886 + (3*t2292*t65) + t2295 - 0.5555555558e-1_dp*t2296 &
1495 *t71 + 0.1111111112e0_dp*t192*t2300 - 0.5555555558e-1_dp*t192* &
1496 t2304 - 0.1851851853e0_dp*t192*t2308 + 0.1111111112e0_dp*t192*t2312 &
1497 + 0.2222222223e0_dp*t508*t878 - 0.1666666668e0_dp*t508*t882 &
1498 + 0.1646090535e0_dp*t192*t2319 - 0.1666666668e0_dp*t1129*t275 + &
1499 0.1111111112e0_dp*t1129*t271
1500 t2351 = t44*t22
1501 t2368 = t237*t14
1502 t2378 = t804*t17
1503 t2382 = t754*t17
1504 t2392 = (2*t147*t1284*t249) + (2*t147*t1388*t249) &
1505 - 0.3456790122e0_dp*t170*t1268*t86 + 0.4444444444e0_dp*t170* &
1506 t1089*t14 + 0.1666666667e0_dp*t165*t166*t2230 + 0.5000000001e0_dp &
1507 *t165*t437*t804 + 0.3333333334e0_dp*t55*t57*t2326 + 0.2e1_dp &
1508 *(t147)*t149*(-0.5625000000e1_dp*t1301*t50*t2160 + &
1509 0.2250000000e1_dp*t400*t68*t754*t17 + 0.6750000000e1_dp*t400* &
1510 t1459*t804 + 0.1000000000e1_dp*t405*t194*t237*t14 - 0.1500000000e1_dp &
1511 *t405*t68*t804*t17 - 0.1500000000e1_dp*t151*t50* &
1512 t2230 + 0.1111111111e1_dp*t49*t2351*t86) - 0.3333333333e0_dp*t170 &
1513 *t1254*t17 + (4*t147*t393*t826) + 0.5000000001e0_dp* &
1514 t165*t1275*t237 + 0.2222222222e0_dp*t165*t450*t2368 - 0.3333333333e0_dp &
1515 *t165*t455*t833 - 0.2500000000e0_dp*t429*t166*t2169 &
1516 - 0.1666666667e0_dp*t165*t171*t2378 + 0.8333333333e-1_dp*t429 &
1517 *t171*t2382 - 0.2500000000e0_dp*t429*t437*t754 + 0.1250000000e0_dp &
1518 *t1368*t166*t2160
1519 t2404 = t45*t1397
1520 t2418 = t379*t754
1521 t2424 = t1067*t237
1522 t2437 = t7*t792
1523 t2439 = 0.1e1_dp/t20/t1436
1524 t2451 = t940*t944
1525 t2455 = t97*t973
1526 t2468 = t944*t104
1527 t2480 = 0.1e1_dp/t19/t942
1528 t2492 = t1014*my_rho
1529 t2537 = t764*t1002
1530 t2552 = t360*t1058
1531 t2565 = t126/t131/t1056/t130
1532 t2569 = -0.8088888890e3_dp*t24*t2182*t2480*t31*my_rho - 0.1518222222e4_dp &
1533 *t2437*t2439*t132*my_rho + 0.6542222223e3_dp*t786/t2204 &
1534 /t19/t2492*t218*t371*my_rho - 0.6222222223e2_dp*t24*t2205 &
1535 *t1002*t126*t132 + 0.5600000000e2_dp*t1024*t341*t360 &
1536 *t132 + 0.3288888889e3_dp*t366/t790*t126*t371 - 0.2400000000e2_dp &
1537 *t350*t114*t1044*t132 - 0.1520000000e3_dp*t366*t1034* &
1538 t360*t371 - 0.3626666667e3_dp*t1054*t1034*t1060 + 0.60e1_dp*t119 &
1539 *t27*(0.3640e4_dp/0.27e2_dp*t1040*t1002 - 0.3640e4_dp/0.27e2_dp &
1540 *my_ndrho*t2182*t2480*my_rho)*t132 + 0.8088888890e3_dp*t24*t2537 &
1541 *t31 + 0.1518222222e4_dp*t7*t2451*t132 - 0.6542222223e3_dp* &
1542 t786*t1012*t1019*t371 + 0.2400000000e2_dp*t366*t368*t1044 &
1543 *t371 + 0.9600000000e2_dp*t1055*t2552*t220 - 0.1173333333e3_dp &
1544 *t1055*t1059*t765 + 0.2133333333e3_dp*beta*t785*t365*t368 &
1545 *t2565*t796
1546 t2576 = 0.40e1_dp*t102*t327*t136*t2226 + 0.3519999999e3_dp*t93 &
1547 *t2190 - 0.1551407408e4_dp*t2437*t2439*t36*my_rho + 0.960e2_dp* &
1548 t1597*t1598*t2200 + 0.120e2_dp*t102*t327*t375*t800 + 0.1551407408e4_dp &
1549 *t7*t2451*t36 - 0.960e2_dp*t93*t2455*my_rho*t2196 &
1550 + 0.120e2_dp*t102*t327*t1063*t233 + 0.1600000000e2_dp*t321 &
1551 *t316*t1063 + 0.9125925923e2_dp*t7*t2182*t2468*t136 + 0.1760000000e3_dp &
1552 *t307*t949*t958 - 0.360e2_dp*t1616*t1617*t2200 &
1553 - 0.20e1_dp*t102*t105*t2569 - 0.6400000001e2_dp*t321*t953*t979
1554 t2585 = 0.1e1_dp/t972/t35
1555 t2611 = t311*t326
1556 t2621 = -0.3200000001e2_dp*t321*t953*t983 - 0.160e2_dp*t93*t316 &
1557 *my_rho*t2226 + 0.480e2_dp*t102*t22*t2585*t136*t2196 - 0.1760000000e3_dp &
1558 *t93*t2193 + 0.960e2_dp*t302*t2197 + 0.160e2_dp*t302 &
1559 *t2227 - 0.960e2_dp*t302*t2201 - 0.8213333332e3_dp*t941*t2468 &
1560 *t317 + 0.8213333332e3_dp*t307*t2187 + 0.9600000002e2_dp*t321* &
1561 t2455*t975 - 0.360e2_dp*t102*t974*t375*t772 - 0.3519999999e3_dp &
1562 *t307*t2611*t954 + 0.1173333334e3_dp*t962*t2611*t328 - &
1563 0.5866666667e2_dp*t962*t949*t375
1564 t2622 = t2576 + t2621
1565 t2631 = t282*t140
1566 t2635 = -0.1000000001e1_dp*t55*t923 - 0.3333333336e0_dp*t83*t384 &
1567 *t2230 - 0.5000000004e0_dp*t165*t897*t804 - 0.6666666672e0_dp*t383 &
1568 *t2404 - 0.1000000001e1_dp*t83*t1071*t804 - 0.5000000004e0_dp &
1569 *t164*t1076 - 0.1000000001e1_dp*t289*t294*t914 - 0.5000000004e0_dp &
1570 *t289*t294*t918 + 0.2500000002e0_dp*t906*t84*t2418 - &
1571 0.2000000001e1_dp*t55*t1079 - 0.5000000004e0_dp*t289*t84*t2424 &
1572 + 0.2500000002e0_dp*t1546*t897*t2169 - 0.3333333336e0_dp*t83* &
1573 t84*t2622 + 0.2500000002e0_dp*t906*t294*t907 - 0.1000000001e1_dp &
1574 *t55*t1082 - 0.1000000001e1_dp*t165*t2631*t237
1575 t2636 = t78*t379
1576 t2645 = t379*t804
1577 t2655 = t140*t2230
1578 t2707 = t74*t379
1579 t2720 = t56*t1239
1580 t2724 = 0.5000000001e0_dp*t165*t1392*t804 - 0.1333333334e1_dp*t165 &
1581 *t450*t1172 - 0.2666666667e1_dp*t170*t1089*t225 + 0.8333333333e-1_dp &
1582 *t429*t466*t2382 + 0.1000000000e1_dp*t170*t1254*t25 &
1583 + 0.1666666667e0_dp*t165*t166*t2622 + 0.1666666667e0_dp*t165* &
1584 t56*t2326*t140 - 0.2500000000e0_dp*t429*t166*t2424 - 0.3333333333e0_dp &
1585 *t165*t455*t1085 - 0.1728395062e0_dp*t165*t1268* &
1586 t140*t86 - 0.2500000000e0_dp*t1246*t446*t413*t804 + 0.1666666666e0_dp &
1587 *t1246*t2707*t833 + 0.1250000000e0_dp*t1368*t462*t2160 &
1588 - 0.1666666667e0_dp*t165*t466*t2378 + (6*t147*t1283 &
1589 *t394) + 0.5000000001e0_dp*t165*t2720*t237
1590 t2732 = my_rho*t2205
1591 t2759 = t25*t2230
1592 t2763 = t1367*t444
1593 t2779 = t25*t2160
1594 t2783 = -0.2500000000e0_dp*t429*t1392*t754 + (6*t147*t393 &
1595 *t1347) - 0.3456790123e1_dp*t170*t1002*t74*t2732 + 0.5000000001e0_dp &
1596 *t165*t1275*t379 - 0.1333333334e1_dp*t170*t114*t889 &
1597 *t451 + 0.3333333334e0_dp*t170*t27*t2326*t172 - 0.2500000000e0_dp &
1598 *t429*t171*t1168 + 0.3750000000e0_dp*t1981*t1247*t2169 &
1599 + 0.5000000001e0_dp*t165*t171*t1093 + 0.8333333334e-1_dp*t1246 &
1600 *t1247*t2378 + 0.1666666667e0_dp*t445*t446*t2759 - 0.1250000000e0_dp &
1601 *t2763*t1247*t2382 + 0.5000000001e0_dp*t165*t437*t1067 &
1602 + 0.2222222222e0_dp*t165*t1089*t1360 + 0.1000000000e1_dp*t165 &
1603 *t455*t413 - 0.2500000000e0_dp*t429*t462*t2169 + 0.1250000000e0_dp &
1604 *t2763*t446*t2779
1605 t2808 = t19*t1067
1606 t2816 = t225*t754
1607 t2821 = 0.1e1_dp/t41/t1140
1608 t2823 = t47*t2821*t44
1609 t2833 = -0.1687500000e2_dp*t1302*t401*t2169 + 0.6750000000e1_dp*t400 &
1610 *t1309*t804 + 0.4500000000e1_dp*t400*t1320*t833 - 0.1500000000e1_dp &
1611 *t400*t1316*t2368 + 0.1000000000e1_dp*t405*t194*t379 &
1612 *t14 + 0.8888888888e1_dp*t155*t97*my_rho*t2205 + 0.6750000000e1_dp &
1613 *t400*t2808*t237 - 0.1500000000e1_dp*t405*t68*t1067 &
1614 *t17 + 0.4500000000e1_dp*t400*t417*t2816 + 0.1968750000e2_dp*t2823 &
1615 *t401*t2160 + 0.1500000000e1_dp*t405*t156*t2759 + 0.2250000000e1_dp &
1616 *t400*t401*t2230
1617 t2843 = t777*t237
1618 t2853 = t172*t2169
1619 t2869 = t225*t804
1620 t2873 = t194*t225
1621 t2877 = -0.1500000000e1_dp*t151*t50*t2622 + 0.5625000000e1_dp*t1302 &
1622 *t156*t2779 - 0.6750000000e1_dp*t400*t1333*t754 + 0.4999999999e1_dp &
1623 *t405*t1340*t2843 - 0.1000000000e2_dp*t49*t2351*t777 &
1624 - 0.5625000000e1_dp*t1302*t406*t2382 - 0.6750000000e1_dp*t1912 &
1625 *t2853 - 0.5555555555e0_dp*t405*t22*t140*t86 + 0.4500000000e1_dp &
1626 *t405*t1333*t804 + 0.2250000000e1_dp*t400*t406*t2378 - &
1627 0.1687500000e2_dp*t1302*t1309*t754 - 0.3000000000e1_dp*t405*t417 &
1628 *t2869 - 0.6000000000e1_dp*t405*t2873*t237
1629 t2885 = t428*t1372
1630 t2935 = -0.2500000000e0_dp*t429*t166*t2645 + (2*t147*t149 &
1631 *(t2833 + t2877)) + 0.5000000001e0_dp*t445*t1292*t1093 + 0.3333333333e0_dp &
1632 *t2885*t446*t2816 + 0.2222222222e0_dp*t165*t1377 &
1633 *t2368 - 0.3333333333e0_dp*t165*t1264*t833 + 0.2e1_dp*(t147) &
1634 *(t2257 - t2261 - t2264 - t2268 + t2272 + 0.9000000000e1_dp*t2274 &
1635 - t2279)*(t149)*t160 - 0.3333333333e0_dp*t170*t27*t1239 &
1636 *t17 - 0.8333333335e-1_dp*t429*t166*t2655 + (6*t147 &
1637 *t1284*t424) + 0.2e1_dp*(t147)*t1387*t392*(t149)* &
1638 t160 - 0.2500000000e0_dp*t1246*t1292*t1168 - 0.1666666667e0_dp* &
1639 t165*t1254*t433 + (6*t147*t1388*t424) + 0.1666666667e0_dp &
1640 *t165*t462*t2230 + 0.2222222222e0_dp*t165*t450*t379*t14 &
1641 - 0.5000000001e0_dp*t429*t437*t914
1642 t2937 = t164*t45*t341
1643 t2992 = 0.1e1_dp/t1140/t40
1644 t2994 = t59*t2992*pi
1645 t2998 = t27*t225
1646 t3026 = 0.1620000000e3_dp*t1143*t474*t2169 + 0.1080000000e3_dp*t1143 &
1647 *t479*t2382 - 0.2160000000e3_dp*t2994*t474*t2160 + 0.3600000000e2_dp &
1648 *t478*t2998*t237 + 0.1620000000e3_dp*t1143*t1150* &
1649 t754 + 0.2666666667e1_dp*t478*t114*t140*t86 - 0.3600000000e2_dp &
1650 *t473*t479*t2378 + 0.1080000000e3_dp*t1821*t2853 - 0.7200000000e2_dp &
1651 *t473*t1161*t833 - 0.1800000000e2_dp*t473*t474*t2230 &
1652 + 0.8999999998e1_dp*t178*t62*t2622 - 0.5400000000e2_dp*t478* &
1653 t1176*t804
1654 t3030 = t20*t1067
1655 t3069 = -0.1800000000e2_dp*t478*t183*t2759 - 0.5400000000e2_dp*t473 &
1656 *t3030*t237 - 0.6000000000e1_dp*t478*t27*t379*t14 - 0.5400000000e2_dp &
1657 *t473*t1150*t804 + 0.1800000000e2_dp*t478*t489* &
1658 t2869 + 0.1080000000e3_dp*t473*t1176*t754 + 0.1800000000e2_dp*t478 &
1659 *t56*t1067*t17 - 0.3600000000e2_dp*t473*t489*t2816 - 0.1866666667e2_dp &
1660 *t182*t357*t2205 + 0.2400000000e2_dp*t61*t2276 &
1661 *t777 - 0.2400000000e2_dp*t478*t123*t2843 - 0.1080000000e3_dp* &
1662 t1143*t183*t2779 + 0.1200000000e2_dp*t473*t1157*t2368
1663 t3070 = t3026 + t3069
1664 t3085 = t1210*t67
1665 t3093 = (3*t496*t865*t65) + (3*t1189*t266*t65) &
1666 + 0.1111111112e1_dp*(t192)*(t2307)*(t65)*(t225) &
1667 + (t187*t2280*t65) + (3*t496*t863*t65) + 0.2222222223e0_dp &
1668 *t516*t1111*t526 + (t187*t2285*t65) + (t3070 &
1669 *t65) - 0.1851851853e0_dp*t1193*t498*t1200 + 0.2222222223e0_dp &
1670 *t508*t1119 + 0.1111111112e0_dp*(t192)*t194*(t1189) &
1671 *t526 + 0.2222222223e0_dp*t1137*t1221 - 0.1666666668e0_dp*t1129 &
1672 *t534 + 0.1111111112e0_dp*t3085*t271 - 0.5555555558e-1_dp*(t192) &
1673 *(t199)*(t2281) - 0.1851851853e0_dp*t508*t1201
1674 t3097 = t66*t69
1675 t3098 = t1109*t267
1676 t3129 = t2296*t67
1677 t3141 = -0.3333333336e0_dp*t192*t2299*t1125 - 0.1666666668e0_dp*t3097 &
1678 *t3098 + 0.1111111112e0_dp*t503*t2300 + 0.1111111112e0_dp*t1129 &
1679 *t527 - 0.1666666668e0_dp*t1129*t531 - 0.5555555558e-1_dp*t192 &
1680 *t68*t3070*t65 + 0.1646090535e0_dp*t192*t97*t187*t65* &
1681 t86 + 0.5555555559e0_dp*t1129*t512 - 0.1666666668e0_dp*t192*t530 &
1682 *t864 - 0.1666666668e0_dp*t1106*t882 - 0.1666666668e0_dp*t192* &
1683 t530*t866 - 0.1481481482e1_dp*t192*t1099*t777 - 0.1111111112e0_dp &
1684 *t3129*t196 + 0.5555555559e0_dp*t1193*t866*t451 - 0.1666666668e0_dp &
1685 *t503*t2282 - 0.1666666668e0_dp*t3085*t275 + 0.1111111112e0_dp &
1686 *t503*t2312
1687 t3181 = -0.1851851853e0_dp*t1106*t874 - 0.1666666668e0_dp*t508*t1235 &
1688 - 0.3333333336e0_dp*t508*t1224 - 0.1111111112e0_dp*t516*t2281 &
1689 *t172 + 0.1111111112e0_dp*t516*t1097*t526 + 0.2222222223e0_dp* &
1690 t1106*t878 - 0.1851851853e0_dp*t503*t2308 - 0.3333333336e0_dp*t1137 &
1691 *t1216 + (3*t3098) + 0.1111111112e0_dp*t516*t1109*t526 &
1692 - 0.5555555558e-1_dp*t503*t2287 - 0.3333333336e0_dp*t192*t2311 &
1693 *t1125 - 0.6666666672e0_dp*t508*t1126 + 0.1646090535e0_dp*t503 &
1694 *t2319 - 0.5555555558e-1_dp*t3129*t200 - 0.5555555558e-1_dp*t58 &
1695 *t2622*t71 - 0.1666666668e0_dp*t1106*t886
1696 t3232 = -0.1666666668e0_dp*t192*t1206*t267 - 0.5555555558e-1_dp*t192 &
1697 *t199*t2295 - 0.1666666668e0_dp*t508*t1122 - 0.3333333336e0_dp &
1698 *t1129*t520 - 0.1111111112e0_dp*t516*t2295*t172 - 0.1481481482e1_dp &
1699 *t66*t67*t97*t267*t1100 - 0.1851851853e0_dp*t192* &
1700 t22*t496*t1200 - 0.3333333336e0_dp*t516*t2292*t65*my_rho* &
1701 t25 + 0.1810699590e1_dp*t192*t311*t70*t2732 - 0.5555555558e-1_dp &
1702 *t503*t2304 - 0.1481481482e1_dp*t508*t1101 - 0.3333333336e0_dp* &
1703 t867*t515*t517 + 0.1111111112e1_dp*t268*t1192*t1194 + 0.5555555559e0_dp &
1704 *t1193*t864*t451 + 0.1111111112e1_dp*t508*t1213 - &
1705 0.1666666668e0_dp*t508*t1207 - 0.3333333336e0_dp*t1137*t1134
1706 t3244 = t278*t140
1707 t3248 = t889*my_rho
1708 t3262 = omega*t1300
1709 t3264 = t140*t2160
1710 t3268 = 0.1555555556e1_dp*t2937*t446*t2843 + 0.3111111111e1_dp*t170 &
1711 *t1268*t777 - 0.2500000000e0_dp*t429*t1275*t290 - 0.1333333334e1_dp &
1712 *t1373*t1292*t1172 + 0.3111111111e1_dp*t170*t341*t278 &
1713 *t1100 - 0.3456790122e0_dp*t170*t341*t203*t86 + 0.3750000000e0_dp &
1714 *t1368*t166*t2418 + 0.4444444444e0_dp*t170*t114*t537 &
1715 *t14 + 0.3333333334e0_dp*t55*t57*(t3093 + t3141 + t3181 + t3232) &
1716 - 0.1111111111e0_dp*t2885*t1247*t2368 - 0.6666666668e0_dp*t1373 &
1717 *t446*t2869 + 0.1666666667e0_dp*t1246*t3244*t833 + 0.5000000001e0_dp &
1718 *t445*t3248*t413 - 0.1666666667e0_dp*t165*t171* &
1719 t1067*t17 - 0.2500000000e0_dp*t429*t437*t918 + 0.3750000000e0_dp &
1720 *t1368*t437*t907 - 0.3125000000e0_dp*t3262*t45*t166*t3264
1721 t3278 = my_rho*t398
1722 t3288 = -0.1000000001e1_dp*t165*t2636*t237 - 0.2000000001e1_dp*t55 &
1723 *t926 - 0.1000000001e1_dp*t83*t922*t379 - 0.5000000004e0_dp*t289 &
1724 *t84*t2645 + 0.2500000002e0_dp*t429*t897*t754 - 0.1000000001e1_dp &
1725 *t83*t294*t1067 - 0.1666666668e0_dp*t289*t84*t2655 &
1726 - 0.1000000001e1_dp*t83*t2404*t237 - 0.5000000004e0_dp*t289*t922 &
1727 *t290 - 0.5000000004e0_dp*t289*t384*t2169 - 0.5000000004e0_dp &
1728 *t289*t1071*t754 - 0.2222222224e0_dp*t144*t46*(t2724 + t2783 &
1729 + t2935 + t3268) - 0.3333333336e0_dp*t83*t45*t2392*t140 - &
1730 0.1250000001e0_dp*t3278*omega*t84*t3264 - 0.1000000001e1_dp*t55 &
1731 *t1068 + 0.8333333340e-1_dp*t906*t384*t2160
1732 t3291 = -0.1000000001e1_dp*t2147*t84*t754 - 0.4000000002e1_dp*t747 &
1733 *t294*t237 - 0.2000000001e1_dp*t747*t84*t804 - 0.1333333334e1_dp &
1734 *t214*t894 + 0.1666666668e0_dp*t4*t150*t46*t78*t2160 &
1735 - 0.1000000001e1_dp*t753*t46*t282*t754 - 0.1000000001e1_dp*t1409 &
1736 *t84*t2169 - 0.2000000001e1_dp*t217*t46*t893*t237 - 0.2000000001e1_dp &
1737 *t217*t46*t282*t804 - 0.6666666672e0_dp*t217* &
1738 t46*t78*t2230 - 0.4444444448e0_dp*t43*t46*t2392 + t8*(t2635 &
1739 + t3288)
1740 END IF
1741 IF (grad_deriv >= 3) THEN
1742 e_rho_rho_rho(ii) = e_rho_rho_rho(ii) + t3291*sx
1743 t3305 = t4*t428
1744 t3306 = t754*t561
1745 t3314 = t237*t1447
1746 t3329 = t804*t561
1747 t3339 = t949*t557
1748 t3344 = t953*t1425
1749 t3347 = t316*t1443
1750 t3352 = t772*t557
1751 t3353 = t974*t3352
1752 t3356 = t233*t1443
1753 t3357 = t327*t3356
1754 t3362 = t800*t557
1755 t3363 = t327*t3362
1756 t3366 = beta*t777
1757 t3378 = 0.1866666667e2_dp*t3366*t342 + 0.9866666667e2_dp*t24*t782 &
1758 - 0.8266666668e2_dp*t366*t797 + 0.3200000001e2_dp*t1054/t1014/ &
1759 t12*t1058
1760 t3379 = t105*t3378
1761 t3382 = 0.3911111110e2_dp*t24*t766 - 0.1955555555e2_dp*t962*t3339 &
1762 + 0.2133333334e2_dp*t339*t769 - 0.2133333334e2_dp*t321*t3344 + &
1763 0.1066666667e2_dp*t321*t3347 + 0.80e1_dp*t112*t773 - 0.120e2_dp*t102 &
1764 *t3353 + 0.80e1_dp*t102*t3357 - 0.40e1_dp*t112*t801 + 0.40e1_dp &
1765 *t102*t3363 - 0.20e1_dp*t102*t3379
1766 t3449 = t1447*t17
1767 t3453 = (2*t147*t1885*t249) + 0.1800000000e2_dp*(t1971) &
1768 *(t1972)*(t1973)*(t249) + (2*t147*t393 &
1769 *t1470) + 0.1800000000e2_dp*t658*t575*t827 + 0.2e1_dp*(t147) &
1770 *t149*(-0.5625000000e1_dp*t1302*t19*t754*t561 + 0.4500000000e1_dp &
1771 *t400*t1459*t1447 + 0.1500000000e1_dp*t400*t815*t1483 &
1772 - 0.1000000000e1_dp*t405*t68*t1447*t17 + 0.2250000000e1_dp* &
1773 t400*t19*t804*t561 - 0.1500000000e1_dp*t151*t50*t3382 + 0.3333333334e0_dp &
1774 *t405*t194*t14*t561) + 0.1250000000e0_dp*t1368 &
1775 *t166*t3306 - 0.8333333335e-1_dp*t429*t679*t754 - 0.1666666667e0_dp &
1776 *t429*t166*t3314 + 0.5555555555e-1_dp*t1246*t74*t237 &
1777 *t1483 - 0.1111111111e0_dp*t165*t689*t833 - 0.1111111111e0_dp* &
1778 t165*t171*t3449
1779 t3472 = t14*t561
1780 t3491 = 0.5400000000e2_dp*t1143*t20*t754*t561
1781 t3494 = 0.3600000000e2_dp*t473*t1493*t1447
1782 t3497 = 0.2400000000e2_dp*t473*t852*t1483
1783 t3501 = 0.1200000000e2_dp*t478*t56*t1447*t17
1784 t3505 = 0.1800000000e2_dp*t473*t20*t804*t561
1785 t3507 = t178*t62*t3382
1786 t3512 = 0.2000000000e1_dp*t478*t27*t14*t561
1787 t3513 = t3491 - t3494 - t3497 + t3501 - t3505 + 0.8999999998e1_dp*t3507 &
1788 - t3512
1789 t3514 = t3513*t65
1790 t3525 = t58*t3382
1791 t3533 = t237*t1518
1792 t3543 = t3514 + 0.8999999998e1_dp*t863*t59*t177*t710 + (2 &
1793 *t267*t1504) + 0.8999999998e1_dp*t865*t59*t177*t710 - 0.5555555558e-1_dp &
1794 *t3525*t71 - 0.5000000001e0_dp*t804*t177*t709 + &
1795 0.7407407410e-1_dp*t1755*t271 + 0.6666666668e0_dp*t3533*t1722 - &
1796 0.1111111112e0_dp*t1755*t275 - 0.1111111112e0_dp*t508*t1525 - 0.1000000001e1_dp &
1797 *t237*t266*t1722
1798 t3546 = 0.1e1_dp/t12
1799 t3547 = t60*t3546
1800 t3552 = t194*t1504
1801 t3553 = t3552*t526
1802 t3561 = t68*t3513*t65
1803 t3569 = t274*t1505
1804 t3575 = -0.6172839508e-1_dp*t719*t874 - 0.5555555556e0_dp*t3547*t709 &
1805 + 0.7407407410e-1_dp*t719*t878 + 0.7407407410e-1_dp*t192*t3553 &
1806 + 0.6666666668e0_dp*t1519*t1712 - 0.5555555558e-1_dp*t719*t882 &
1807 - 0.5555555558e-1_dp*t192*t3561 - 0.5000000001e0_dp*t60*t863* &
1808 t709 - 0.5555555558e-1_dp*t719*t886 - 0.1111111112e0_dp*t192*t3569 &
1809 - 0.5000000001e0_dp*t60*t865*t709
1810 t3576 = t3543 + t3575
1811 t3580 = -0.1666666667e0_dp*t429*t437*t1410 + 0.3333333334e0_dp*t165 &
1812 *t1928*t237 + 0.3333333334e0_dp*t165*t437*t1447 - 0.8333333335e-1_dp &
1813 *t429*t166*t3329 + 0.1666666667e0_dp*t165*t679*t804 &
1814 + 0.1666666667e0_dp*t165*t166*t3382 + 0.7407407405e-1_dp*t165 &
1815 *t450*t3472 + 0.1481481481e0_dp*t170*t1875*t14 - 0.1111111111e0_dp &
1816 *t165*t455*t1483 - 0.2222222222e0_dp*t170*t1932*t17 + &
1817 0.1666666667e0_dp*t165*t1275*t561 + 0.3333333334e0_dp*t55*t57 &
1818 *t3576
1819 t3581 = t3453 + t3580
1820 t3608 = t973*my_rho
1821 t3618 = 0.640e2_dp*t1597*t1598*t3356 - 0.640e2_dp*t1582*t773 - &
1822 0.1173333333e3_dp*t93*t3347 - 0.3911111110e2_dp*t1000*t963 - 0.320e2_dp &
1823 *t605*t959 + 0.1173333333e3_dp*t307*t949*t1602 + 0.40e1_dp &
1824 *t102*t327*t136*t3378 - 0.960e2_dp*t1597*t3608*t3352 - &
1825 0.40e1_dp*t112*t1064 + 0.80e1_dp*t112*t984 + 0.2737777778e3_dp*t307 &
1826 *t3339
1827 t3668 = t2552*t23
1828 t3673 = t635*t1058
1829 t3674 = t3673*t220
1830 t3677 = -0.1866666667e3_dp*t1645*t342 - 0.6346666667e3_dp*t24*t991 &
1831 + 0.3946666667e3_dp*t366*t997 + 0.1866666667e3_dp*beta*t764* &
1832 t1004 + 0.60e1_dp*t550*t1046 + 0.60e1_dp*t119*t27*(-0.280e3_dp/ &
1833 0.9e1_dp*t987 + 0.280e3_dp/0.9e1_dp*t2537*my_rho)*t132 - 0.60e1_dp*t7 &
1834 *t640*t1044*t371 + 0.1600000000e2_dp*t366*t368*t1667*t371 &
1835 - 0.4800000000e2_dp*t1680*t3668 + 0.1600000000e3_dp*t1680*t1060 &
1836 + 0.3200000000e2_dp*t1055*t3674
1837 t3679 = t2565*t1439
1838 t3682 = t24*t940
1839 t3711 = -0.1600000000e3_dp*t2220*t368*t3679 + 0.6346666667e3_dp*t3682 &
1840 *t1008 - 0.3946666667e3_dp*t366*t1012*t1021 + 0.1866666667e2_dp &
1841 *t3366*t1026 + 0.1866666667e2_dp*t1024*t341*t635*t132 &
1842 - 0.1706666667e3_dp*t7*t1036 - 0.1600000000e2_dp*t1429*t1030 - 0.1600000000e2_dp &
1843 *t350*t114*t1667*t132 + 0.6400000000e2_dp*t7* &
1844 t1050 - 0.5066666667e2_dp*t366*t1034*t635*t371 + 0.1520000000e3_dp &
1845 *t786*t1034*t1681
1846 t3726 = -0.240e2_dp*t1616*t1617*t3356 + 0.160e2_dp*t302*t3379 + &
1847 0.40e1_dp*t102*t327*t1063*t557 + 0.960e2_dp*t302*t3353 - 0.320e2_dp &
1848 *t302*t3363 - 0.2737777778e3_dp*t941*t2468*t608 - 0.120e2_dp &
1849 *t102*t974*t645*t772 - 0.2133333334e2_dp*t321*t953*t1621 &
1850 - 0.20e1_dp*t102*t105*(t3677 + t3711) + 0.80e1_dp*t102*t327 &
1851 *t375*t1443 - 0.120e2_dp*t1616*t1617*t3362 - 0.2133333334e2_dp &
1852 *t321*t953*t1625
1853 t3750 = t2585*t136
1854 t3763 = 0.2346666666e3_dp*t1589*t950 + 0.80e1_dp*t102*t327*t1684 &
1855 *t233 + 0.6400000002e2_dp*t7*t220*t1618 - 0.240e2_dp*t112*t976 &
1856 - 0.160e2_dp*t93*t316*my_rho*t3378 + 0.2346666666e3_dp*t93* &
1857 t3344 + 0.3911111110e2_dp*t962*t2611*t614 - 0.5475555556e3_dp*t24 &
1858 *t930 + 0.480e2_dp*t1616*t3750*t3352 - 0.1955555555e2_dp*t962 &
1859 *t949*t645 - 0.240e2_dp*t1616*t973*t375*t1425 + 0.2133333334e2_dp &
1860 *t339*t969
1861 t3794 = -0.640e2_dp*t302*t3357 - 0.4266666668e2_dp*t339*t966 + 0.640e2_dp &
1862 *t605*t955 + 0.40e1_dp*t102*t327*t645*t800 + 0.5475555556e3_dp &
1863 *t3682*t946 + 0.1066666667e2_dp*t321*t316*t1684 + 0.160e2_dp &
1864 *t112*t980 - 0.2346666666e3_dp*t7*t929*t1599 + 0.320e2_dp &
1865 *t1597*t1598*t3362 - 0.2346666666e3_dp*t605*t769 + 0.320e2_dp &
1866 *t1582*t801 - 0.2133333334e2_dp*t321*t953*t1631
1867 t3796 = t3618 + t3726 + t3763 + t3794
1868 t3826 = 0.8333333340e-1_dp*t906*t597*t907 + 0.1666666668e0_dp*t429 &
1869 *t1547 - 0.3333333336e0_dp*t83*t84*t3796 - 0.3333333336e0_dp* &
1870 t83*t922*t649 - 0.3333333336e0_dp*t289*t294*t1571 - 0.3333333336e0_dp &
1871 *t289*t1071*t1410 - 0.6666666672e0_dp*t83*t1564*t379 &
1872 - 0.6666666672e0_dp*t55*t1700 - 0.3333333336e0_dp*t165*t207* &
1873 t237*t561 - 0.6666666672e0_dp*t55*t1689 - 0.3333333336e0_dp*t83 &
1874 *t1694*t804 + 0.1666666668e0_dp*t1546*t897*t3314
1875 t3827 = t649*t804
1876 t3842 = t3278*t46
1877 t3849 = t140*t3382
1878 t3853 = t649*t754
1879 t3861 = t78*t649
1880 t3865 = t589*t140
1881 t3869 = -0.1666666668e0_dp*t289*t84*t3827 - 0.1666666668e0_dp*t289 &
1882 *t922*t593 + 0.1666666668e0_dp*t1546*t2636*t1410 - 0.6666666672e0_dp &
1883 *t55*t1703 - 0.3333333336e0_dp*t83*t597*t1067 - 0.1250000001e0_dp &
1884 *t3842*t897*t3306 - 0.3333333336e0_dp*t83*t384* &
1885 t3382 - 0.1666666668e0_dp*t289*t84*t3849 + 0.8333333340e-1_dp*t906 &
1886 *t84*t3853 - 0.6666666672e0_dp*t55*t1568 - 0.6666666672e0_dp* &
1887 t55*t1565 - 0.3333333336e0_dp*t165*t3861*t237 - 0.3333333336e0_dp &
1888 *t165*t3865*t237
1889 t3871 = t379*t1447
1890 t3875 = t45*t2002
1891 t3892 = t225*t1447
1892 t3918 = t25*t3382
1893 t3925 = t777*t561
1894 t3933 = t451*t1410
1895 t3939 = t1301*t245
1896 t3940 = t172*t3306
1897 t3965 = 0.1500000000e1_dp*t405*t156*t3918 + 0.1968750000e2_dp*t2823 &
1898 *t401*t3306 + 0.1666666666e1_dp*t405*t1340*t3925 + 0.3000000000e1_dp &
1899 *t405*t1333*t1447 + 0.3000000000e1_dp*t399*t822*t3933 &
1900 + 0.2250000000e1_dp*t400*t401*t3382 + 0.5625000000e1_dp*t3939 &
1901 *t3940 + 0.3333333333e0_dp*t405*t194*t649*t14 - 0.1125000000e2_dp &
1902 *t1302*t1309*t1410 + 0.2250000000e1_dp*t400*t1892*t804 &
1903 - 0.5625000000e1_dp*t1302*t401*t3329 - 0.5625000000e1_dp*t1302 &
1904 *t1892*t754 + 0.2250000000e1_dp*t400*t2808*t561 - 0.4500000000e1_dp &
1905 *t400*t1333*t1410
1906 t3969 = t172*t3314
1907 t3975 = t19*t1688
1908 t3979 = t290*t1483
1909 t3985 = t172*t3329
1910 t4010 = -0.1125000000e2_dp*t1302*t401*t3314 - 0.4500000000e1_dp*t1912 &
1911 *t3969 + 0.4500000000e1_dp*t400*t1309*t1447 + 0.4500000000e1_dp &
1912 *t400*t3975*t237 - 0.3750000000e1_dp*t3939*t3979 - 0.2000000000e1_dp &
1913 *t405*t417*t3892 - 0.2250000000e1_dp*t1912*t3985 - &
1914 0.2000000000e1_dp*t405*t2873*t561 - 0.5000000000e0_dp*t400*t1316 &
1915 *t3472 - 0.1000000000e1_dp*t405*t68*t1688*t17 + 0.1500000000e1_dp &
1916 *t400*t406*t3449 - 0.1500000000e1_dp*t151*t50*t3796 &
1917 + 0.1500000000e1_dp*t400*t1902*t833 + 0.1500000000e1_dp*t400* &
1918 t1320*t1483
1919 t4018 = 0.2222222222e0_dp*t2885*t446*t1172*t561 - 0.1666666667e0_dp &
1920 *t1246*t1292*t1865 - 0.4444444445e0_dp*t1373*t446*t3892 &
1921 - 0.1111111111e0_dp*t165*t171*t1688*t17 + 0.1666666667e0_dp*t165 &
1922 *t56*t3576*t140 + 0.1250000000e0_dp*t2763*t446*t1168* &
1923 t561 + 0.3333333334e0_dp*t165*t689*t413 + 0.1666666667e0_dp*t165 &
1924 *t679*t1067 - 0.1666666667e0_dp*t1246*t446*t413*t1447 + &
1925 (2*t147*t149*(t3965 + t4010)) - 0.4444444445e0_dp*t1373* &
1926 t1292*t1829
1927 t4025 = t3262*t57
1928 t4032 = t74*t649
1929 t4070 = t3525*t67
1930 t4079 = -0.5555555558e-1_dp*t192*t199*t3514 + (t705*t863* &
1931 t65) + (2*t496*t1504*t65) + (t187*t3513*t65) - &
1932 0.5555555558e-1_dp*t192*t728*t864 - 0.5555555556e0_dp*t140*t3546 &
1933 *t1722 + (t705*t865*t65) - 0.1111111112e0_dp*t1106*t1525 &
1934 - 0.1111111112e0_dp*t4070*t196 + 0.6666666668e0_dp*t1748*t266 &
1935 *t1722 + 0.3703703706e0_dp*t1193*t1505*t451
1936 t4101 = t498*t1505
1937 t4108 = -0.5000000001e0_dp*t60*t1189*t709 + 0.3703703706e0_dp*t1755 &
1938 *t512 - 0.5555555558e-1_dp*t503*t3561 - 0.2222222224e0_dp*t516 &
1939 *t267*t172*t1504 - 0.5555555558e-1_dp*t1715*t886 - 0.5555555558e-1_dp &
1940 *t1715*t882 - 0.1111111112e0_dp*t516*t3514*t172 - 0.5000000001e0_dp &
1941 *t1067*t177*t709 + (2*t4101) - 0.1111111112e0_dp &
1942 *t508*t1769 - 0.1111111112e0_dp*t192*t1837*t267
1943 t4140 = -0.5555555558e-1_dp*t719*t1207 - 0.2000000001e1_dp*t1763* &
1944 t266*t1722 - 0.1111111112e0_dp*t192*t530*t1505 + 0.1333333334e1_dp &
1945 *t1519*t722*t1712 + 0.7407407410e-1_dp*t516*t1718*t526 &
1946 + 0.6666666668e0_dp*t379*t1518*t1722 - 0.5555555558e-1_dp*t192* &
1947 t728*t866 - 0.2222222224e0_dp*t719*t1126 + 0.1800000000e2_dp*t1111 &
1948 *t178*t710 - 0.1111111112e0_dp*t508*t1782 - 0.5555555558e-1_dp &
1949 *t58*t3796*t71
1950 t4156 = t865*t561*t65
1951 t4201 = t20*t1688
1952 t4214 = -0.8000000000e1_dp*t478*t123*t3925 - 0.2400000000e2_dp*t473 &
1953 *t479*t3449 + 0.1200000000e2_dp*t478*t489*t3892 + 0.1200000000e2_dp &
1954 *t478*t2998*t561 - 0.2000000000e1_dp*t478*t27*t649 &
1955 *t14 + 0.1200000000e2_dp*t478*t56*t1688*t17 - 0.2400000000e2_dp &
1956 *t473*t1161*t1483 + 0.1080000000e3_dp*t1143*t474*t3314 - &
1957 0.2160000000e3_dp*t2994*t474*t3306 + 0.7200000000e2_dp*t1821* &
1958 t3969 - 0.3600000000e2_dp*t473*t4201*t237 - 0.1800000000e2_dp*t473 &
1959 *t3030*t561 - 0.2400000000e2_dp*t473*t1811*t833 - 0.1800000000e2_dp &
1960 *t478*t183*t3918
1961 t4230 = t1142*t262
1962 t4255 = 0.5400000000e2_dp*t1143*t474*t3329 + 0.5400000000e2_dp*t1143 &
1963 *t1801*t754 + 0.7200000000e2_dp*t473*t1176*t1410 + 0.8999999998e1_dp &
1964 *t178*t62*t3796 - 0.2400000000e2_dp*t472*t859*t3933 &
1965 - 0.1080000000e3_dp*t4230*t3940 + 0.4000000000e1_dp*t473*t1157 &
1966 *t3472 + 0.1080000000e3_dp*t1143*t1150*t1410 + 0.3600000000e2_dp &
1967 *t1821*t3985 + 0.7200000000e2_dp*t4230*t3979 - 0.1800000000e2_dp &
1968 *t473*t1801*t804 - 0.3600000000e2_dp*t473*t1150*t1447 - &
1969 0.3600000000e2_dp*t478*t1176*t1447 - 0.1800000000e2_dp*t473*t474 &
1970 *t3382
1971 t4256 = t4214 + t4255
1972 t4261 = -0.2222222224e0_dp*t1510*t515*t517 + 0.3703703706e0_dp*t719 &
1973 *t1213 - 0.1000000001e1_dp*t1766*t266*t1722 - 0.5555555558e-1_dp &
1974 *t4070*t200 + 0.6666666668e0_dp*t1519*t496*t561*t65 - 0.5000000001e0_dp &
1975 *t732*t4156 - 0.5000000001e0_dp*t140*t865*t1722 &
1976 - 0.5000000001e0_dp*t804*t187*t1722 - 0.4938271608e0_dp*t719* &
1977 t1101 + 0.8999999998e1_dp*t1097*t178*t710 - 0.5555555558e-1_dp* &
1978 t192*t68*t4256*t65
1979 t4272 = t863*t561*t65
1980 t4292 = (2*t1836*t266*t65) - 0.1111111112e0_dp*t719*t1224 &
1981 - 0.2222222224e0_dp*t1137*t1790 - 0.1000000001e1_dp*t723*t4272 &
1982 - 0.1111111112e0_dp*t1785*t1134 - 0.6172839508e-1_dp*t192*t22* &
1983 t705*t1200 - 0.5000000001e0_dp*t140*t863*t1722 - 0.1111111112e0_dp &
1984 *t1755*t531 - 0.6172839508e-1_dp*t1715*t874 - 0.5555555558e-1_dp &
1985 *t719*t1122 + 0.7407407410e-1_dp*t508*t1726
1986 t4317 = 0.7407407410e-1_dp*t1755*t527 - 0.6172839508e-1_dp*t719*t1201 &
1987 - 0.1111111112e0_dp*t508*t1838 - 0.2222222224e0_dp*t192*t3552 &
1988 *t1125 + 0.7407407410e-1_dp*t1785*t1221 - 0.1111111111e1_dp*t3547 &
1989 *t1737 + 0.6666666668e0_dp*t1519*t187*t1712 + 0.7407407410e-1_dp &
1990 *t503*t3553 - 0.1111111112e0_dp*t1755*t534 - 0.1000000001e1_dp &
1991 *t1774*t1712 + 0.7407407410e-1_dp*t719*t1119
1992 t4345 = -0.1000000001e1_dp*t379*t266*t1722 - 0.1000000001e1_dp*t804 &
1993 *t722*t1722 + 0.8999999998e1_dp*t1109*t178*t710 - 0.5555555558e-1_dp &
1994 *t1129*t729 + t4256*t65 - 0.2222222224e0_dp*t1755*t520 &
1995 - 0.1111111112e0_dp*t503*t3569 - 0.1111111112e0_dp*t1785*t1216 &
1996 - 0.1111111112e0_dp*t3097*t4101 - 0.5000000001e0_dp*t732*t4272 &
1997 + 0.7407407410e-1_dp*t192*t194*t1836*t526
1998 t4352 = t1731*t67
1999 t4378 = 0.7407407410e-1_dp*t1715*t878 + 0.8999999998e1_dp*t1189*t59 &
2000 *t177*t710 + 0.7407407410e-1_dp*t4352*t271 - 0.1111111112e0_dp &
2001 *t4352*t275 - 0.5555555556e0_dp*t3547*t1745 + 0.7407407410e-1_dp &
2002 *t516*t1709*t526 + 0.6666666668e0_dp*t3533*t187*t1722 - 0.1000000001e1_dp &
2003 *t237*t496*t1722 + 0.3703703706e0_dp*t579*t1192 &
2004 *t1194 - 0.1000000001e1_dp*t723*t4156 + 0.1333333334e1_dp*t3533 &
2005 *t722*t1722 - 0.5555555558e-1_dp*t719*t1235
2006 t4392 = 0.3333333334e0_dp*t165*t171*t1825 + 0.1250000000e0_dp*t1981 &
2007 *t1247*t3329 - 0.3125000000e0_dp*t4025*t1247*t3306 + 0.3333333334e0_dp &
2008 *t165*t1392*t1447 + 0.5555555556e-1_dp*t1246*t4032 &
2009 *t833 - 0.1666666667e0_dp*t1246*t74*t25*t1410 + 0.5555555556e-1_dp &
2010 *t1246*t1247*t3449 + 0.1800000000e2_dp*t657*t1283*t59 &
2011 *t1975 - 0.1666666667e0_dp*t429*t166*t3871 + 0.3333333334e0_dp &
2012 *t55*t57*(t4079 + t4108 + t4140 + t4261 + t4292 + t4317 + t4345 &
2013 + t4378) + 0.1481481481e0_dp*t170*t114*t735*t14 - 0.1666666667e0_dp &
2014 *t429*t1928*t290
2015 t4428 = -0.1111111111e0_dp*t165*t1264*t1483 + 0.1800000000e2_dp*t658 &
2016 *t575*t1348 - 0.8333333335e-1_dp*t429*t679*t918 - 0.1111111111e0_dp &
2017 *t165*t455*t1988 + 0.3333333334e0_dp*t170*t27*t3576 &
2018 *t172 - 0.8333333335e-1_dp*t429*t1966*t754 + 0.1250000000e0_dp &
2019 *t1368*t679*t907 + 0.1666666667e0_dp*t445*t446*t3918 - 0.4444444445e0_dp &
2020 *t165*t450*t1829 + 0.2500000000e0_dp*t1981*t3244 &
2021 *t1410 - 0.1666666667e0_dp*t429*t1392*t1410
2022 t4466 = -0.1666666667e0_dp*t429*t437*t1553 - 0.1111111111e0_dp*t165 &
2023 *t689*t1085 + 0.1666666667e0_dp*t165*t1275*t649 - 0.2222222222e0_dp &
2024 *t170*t27*t1843*t17 - 0.8333333335e-1_dp*t1246*t1962 &
2025 *t1168 + 0.1666666667e0_dp*t165*t2720*t561 + 0.6666666668e0_dp &
2026 *t170*t1932*t25 + 0.3333333334e0_dp*t445*t1292*t1825 + 0.1250000000e0_dp &
2027 *t1368*t166*t3853 - 0.4444444445e0_dp*t1373*t1962 &
2028 *t1172 + 0.7407407405e-1_dp*t165*t1377*t3472 + 0.5555555555e-1_dp &
2029 *t1246*t3244*t1483
2030 t4498 = t56*t1843
2031 t4505 = 0.1666666667e0_dp*t165*t166*t3796 - 0.8333333334e-1_dp*t2763 &
2032 *t1247*t833*t561 + (4*t147*t392*t1886) + (2 &
2033 *t147*t1388*t672) - 0.1111111111e0_dp*t165*t1940*t833 + 0.3333333334e0_dp &
2034 *t165*t1928*t379 + 0.7407407409e-1_dp*t165*t450 &
2035 *t649*t14 - 0.1666666667e0_dp*t429*t462*t3314 - 0.3703703704e-1_dp &
2036 *t2885*t1247*t3472 + 0.3333333334e0_dp*t165*t4498*t237 &
2037 + (2*t147*t1284*t672)
2038 t4512 = t1531*my_rho
2039 t4545 = (4*t147*t1885*t424) + 0.1666666667e0_dp*t165*t462 &
2040 *t3382 + 0.3333333334e0_dp*t445*t4512*t413 + 0.5185185185e0_dp &
2041 *t2937*t446*t3925 - 0.8333333335e-1_dp*t429*t166*t3827 - 0.1666666667e0_dp &
2042 *t429*t437*t1571 + 0.5555555555e-1_dp*t1246*t203 &
2043 *t237*t1483 + 0.5555555555e-1_dp*t1246*t2707*t1483 + 0.7407407409e-1_dp &
2044 *t165*t1875*t1360 + (4*t147*t393*t1924) &
2045 + 0.3600000000e2_dp*(t1971)*(t1972)*(t1973)*(t424) &
2046 + 0.3333333334e0_dp*t165*t437*t1688
2047 t4553 = t585*t140
2048 t4575 = t1067*t561
2049 t4585 = 0.1666666667e0_dp*t445*t3248*t668 - 0.1111111111e0_dp*t165 &
2050 *t1932*t433 + 0.5555555556e-1_dp*t1246*t4553*t833 - 0.8333333335e-1_dp &
2051 *t429*t1275*t593 - 0.8333333335e-1_dp*t429*t462* &
2052 t3329 + 0.2500000000e0_dp*t1981*t1247*t3314 + 0.1666666667e0_dp* &
2053 t445*t1962*t1093 + 0.3333333334e0_dp*t165*t455*t668 - 0.8333333335e-1_dp &
2054 *t429*t166*t3849 - 0.8333333335e-1_dp*t429*t166* &
2055 t4575 + 0.2e1_dp*t147*(t3491 - t3494 - t3497 + t3501 - t3505 + 0.9000000000e1_dp &
2056 *t3507 - t3512)*t149*t160
2057 t4607 = t1688*t237
2058 t4627 = 0.1666666667e0_dp*t165*t1966*t804 - 0.1666666667e0_dp*t429 &
2059 *t437*t1557 + 0.1800000000e2_dp*t657*t1387*t59*t1975 + 0.1037037037e1_dp &
2060 *t170*t341*t585*t1100 - 0.8888888890e0_dp*t170 &
2061 *t114*t1531*t451 - 0.8888888890e0_dp*t170*t1875*t225 - 0.1666666667e0_dp &
2062 *t429*t166*t4607 - 0.1111111111e0_dp*t165*t466 &
2063 *t3449 - 0.1666666667e0_dp*t429*t679*t914 - 0.8333333335e-1_dp* &
2064 t1246*t446*t1093*t561 + 0.1250000000e0_dp*t1368*t462*t3306 &
2065 + 0.2500000000e0_dp*t1981*t2707*t1410
2066 t4657 = -0.3333333336e0_dp*t289*t84*t3871 - 0.6666666672e0_dp*t83 &
2067 *t3875*t237 + 0.8333333340e-1_dp*t906*t384*t3306 - 0.1666666668e0_dp &
2068 *t289*t597*t918 - 0.2222222224e0_dp*t144*t46*(t4018 &
2069 + t4392 + t4428 + t4466 + t4505 + t4545 + t4585 + t4627) - 0.1666666668e0_dp &
2070 *t289*t384*t3329 - 0.3333333336e0_dp*t165*t2636*t561 &
2071 - 0.3333333336e0_dp*t165*t897*t1447 + 0.8333333340e-1_dp*t1546 &
2072 *t897*t3329 - 0.6666666672e0_dp*t83*t1071*t1447 - 0.3333333336e0_dp &
2073 *t83*t2404*t561 - 0.4444444448e0_dp*t383*t3875 - 0.3333333336e0_dp &
2074 *t289*t294*t1553
2075 t4696 = -0.6666666672e0_dp*t55*t1575 - 0.3333333336e0_dp*t289*t597 &
2076 *t914 - 0.3333333336e0_dp*t165*t2631*t561 - 0.6666666672e0_dp* &
2077 t55*t1706 - 0.3333333336e0_dp*t289*t384*t3314 - 0.6666666672e0_dp &
2078 *t83*t294*t1688 + 0.1666666668e0_dp*t1546*t2631*t1410 - &
2079 0.3333333336e0_dp*t289*t1564*t290 - 0.1666666668e0_dp*t289*t84 &
2080 *t4575 - 0.3333333336e0_dp*t289*t294*t1557 - 0.1666666668e0_dp &
2081 *t289*t1694*t754 - 0.3333333336e0_dp*t289*t84*t4607 - 0.3333333336e0_dp &
2082 *t83*t45*t3581*t140
2083 t4700 = -0.6666666670e0_dp*t2147*t1411 - 0.1333333334e1_dp*t747*t597 &
2084 *t237 - 0.1333333334e1_dp*t747*t84*t1447 - 0.1333333334e1_dp &
2085 *t747*t294*t561 - 0.8888888896e0_dp*t214*t1536 + 0.1666666668e0_dp &
2086 *t3305*t84*t3306 - 0.3333333336e0_dp*t753*t46*t589*t754 &
2087 - 0.6666666672e0_dp*t1409*t84*t3314 - 0.6666666670e0_dp*t1409 &
2088 *t294*t1410 - 0.1333333334e1_dp*t217*t46*t1535*t237 - 0.1333333334e1_dp &
2089 *t217*t46*t282*t1447 - 0.3333333336e0_dp*t1409 &
2090 *t84*t3329 - 0.6666666672e0_dp*t217*t46*t589*t804 - 0.6666666672e0_dp &
2091 *t217*t46*t78*t3382 - 0.6666666672e0_dp*t217*t46 &
2092 *t893*t561 - 0.4444444448e0_dp*t43*t46*t3581 + t8*(t3826 + &
2093 t3869 + t4657 + t4696)
2094 e_ndrho_rho_rho(ii) = e_ndrho_rho_rho(ii) + t4700*sx
2095 t4701 = t561**2
2096 t4704 = 0.3333333336e0_dp*t2147*t84*t4701
2097 t4707 = 0.1333333334e1_dp*t747*t597*t561
2098 t4708 = t22*t36
2099 t4713 = t557**2
2100 t4714 = t327*t4713
2101 t4717 = t22*t132
2102 t4721 = 0.1e1_dp/t787*t2480
2103 t4725 = 0.120e2_dp*t624*t4717 - 0.60e1_dp*t7*t4721*t371
2104 t4726 = t105*t4725
2105 t4729 = 0.40e1_dp*t624*t4708 - 0.80e1_dp*t112*t558 + 0.40e1_dp*t102 &
2106 *t4714 - 0.20e1_dp*t102*t4726
2107 t4732 = 0.6666666672e0_dp*t747*t84*t4729
2108 t4733 = pi**2
2109 t4734 = t4733*t146
2110 t4736 = 0.1e1_dp/t58/omega
2111 t4738 = t4734*t4736*t1300
2112 t4739 = t4701*t149
2113 t4743 = t19*t4701
2114 t4744 = t399*t4743
2115 t4748 = t151*t19*t4729
2116 t4760 = t20*t4701
2117 t4764 = t20*t4729
2118 t4768 = t58**2
2119 t4769 = 0.1e1_dp/t4768
2120 t4770 = t4769*t1141
2121 t4771 = t4770*t4733
2122 t4772 = t26*t4701
2123 t4776 = t58*t4729
2124 t4782 = -0.2250000000e2_dp*t473*t4760*t65 + 0.8999999998e1_dp*t478 &
2125 *t4764*t65 + 0.8099999996e2_dp*t4771*t4772*t65 - 0.5555555558e-1_dp &
2126 *t4776*t71 - 0.5000000001e0_dp*t60*t4729*t65
2127 t4786 = -0.2700000000e2_dp*t4738*t18*t4739 + 0.4500000000e1_dp*t567 &
2128 *t4744 - 0.3000000000e1_dp*t567*t4748 - 0.8333333335e-1_dp*t429 &
2129 *t166*t4701 + 0.3333333334e0_dp*t165*t679*t561 + 0.1666666667e0_dp &
2130 *t165*t166*t4729 + 0.3333333334e0_dp*t55*t57*t4782
2131 t4789 = 0.4444444448e0_dp*t214*t46*t4786
2132 t4790 = t237*t4701
2133 t4793 = 0.1666666668e0_dp*t3305*t84*t4790
2134 t4796 = 0.6666666672e0_dp*t1409*t597*t1410
2135 t4797 = t1447*t561
2136 t4800 = 0.6666666672e0_dp*t1409*t84*t4797
2137 t4801 = t237*t4729
2138 t4804 = 0.3333333336e0_dp*t1409*t84*t4801
2139 t4808 = 0.6666666672e0_dp*t217*t46*t4786*t237
2140 t4812 = 0.1333333334e1_dp*t217*t46*t589*t1447
2141 t4817 = t953*t4713
2142 t4820 = t316*t4725
2143 t4829 = t233*t4713
2144 t4830 = t974*t4829
2145 t4833 = t1443*t557
2146 t4834 = t327*t4833
2147 t4837 = t233*t4725
2148 t4838 = t327*t4837
2149 t4849 = -0.3200000000e2_dp*t1645*t627 + 0.4800000000e2_dp*t7*t1440 &
2150 - 0.2400000000e2_dp*t786/t2492*t1058
2151 t4850 = t105*t4849
2152 t4853 = -0.1066666667e2_dp*t1645*t98 + 0.2133333334e2_dp*t339*t1420 &
2153 - 0.1066666667e2_dp*t321*t4817 + 0.5333333333e1_dp*t321*t4820 &
2154 - 0.40e1_dp*t624*t234 + 0.160e2_dp*t112*t1426 - 0.80e1_dp*t112* &
2155 t1444 - 0.120e2_dp*t102*t4830 + 0.80e1_dp*t102*t4834 + 0.40e1_dp* &
2156 t102*t4838 - 0.20e1_dp*t102*t4850
2157 t4857 = 0.6666666672e0_dp*t217*t46*t78*t4853
2158 t4861 = 0.3333333336e0_dp*t753*t46*t282*t4701
2159 t4864 = t217*t46*t1535*t561
2160 t4869 = 0.6666666672e0_dp*t217*t46*t282*t4729
2161 t4872 = 0.8333333335e-1_dp*t429*t437*t4701
2162 t4874 = t165*t1928*t561
2163 t4878 = 0.1666666667e0_dp*t165*t437*t4729
2164 t4881 = 0.5400000000e2_dp*t1143*t1493*t4701
2165 t4884 = 0.3600000000e2_dp*t473*t2035*t561
2166 t4887 = 0.1800000000e2_dp*t473*t1493*t4729
2167 t4889 = t178*t62*t4853
2168 t4893 = 0.1200000000e2_dp*t473*t1500*t4701
2169 t4895 = t478*t1500*t4729
2170 t4897 = t4881 - t4884 - t4887 + 0.8999999998e1_dp*t4889 - t4893 + 0.5999999999e1_dp &
2171 *t4895
2172 t4898 = t4897*t65
2173 t4901 = t1504*t59*t177*t710
2174 t4904 = t4701*t65
2175 t4905 = t62*t4904
2176 t4907 = 0.2250000000e2_dp*t1506*t471*t4905
2177 t4908 = t4729*t65
2178 t4909 = t62*t4908
2179 t4911 = 0.8999999998e1_dp*t1507*t4909
2180 t4915 = t4733*t26*t4904
2181 t4917 = 0.8099999996e2_dp*t266*t4769*t1141*t4915
2182 t4918 = t58*t4853
2183 t4920 = 0.5555555558e-1_dp*t4918*t71
2184 t4922 = t1447*t177*t709
2185 t4925 = 0.5000000001e0_dp*t1513*t4908
2186 t4929 = t60*t1504*t709
2187 t4932 = 0.5000000001e0_dp*t1528*t4908
2188 t4935 = 0.1000000000e1_dp*t237*t471*t4904
2189 t4940 = t59*pi*t20*t65
2190 t4941 = t237*t1141*t4701*t4940
2191 t4943 = t4776*t67
2192 t4945 = 0.3703703705e-1_dp*t4943*t271
2193 t4946 = t471*t1518
2194 t4951 = 0.5555555558e-1_dp*t4943*t275
2195 t4952 = t719*t1525
2196 t4955 = t68*t4897*t65
2197 t4958 = t4898 + 0.1800000000e2_dp*t4901 - t4907 + t4911 + t4917 - t4920 &
2198 - 0.1000000000e1_dp*t4922 - t4925 + 0.3333333334e0_dp*t1519*t4908 &
2199 - 0.1000000000e1_dp*t4929 - t4932 + t4935 - 0.4500000000e1_dp*t4941 &
2200 + t4945 + 0.3000000000e1_dp*t4946*t4701*t4940 - t4951 - 0.1111111112e0_dp &
2201 *t4952 - 0.5555555558e-1_dp*t192*t4955
2202 t4994 = t44*t4733*t146
2203 t4995 = t4994*t4770
2204 t5001 = 0.1666666667e0_dp*t165*t166*t4853
2205 t5002 = t17*t4701
2206 t5005 = 0.2777777778e-1_dp*t429*t171*t5002
2207 t5008 = 0.1111111111e0_dp*t165*t689*t1483
2208 t5009 = t17*t4729
2209 t5011 = t165*t171*t5009
2210 t5013 = t27*t4782
2211 t5016 = 0.1111111111e0_dp*t170*t5013*t17
2212 t5019 = 0.1250000000e0_dp*t1368*t166*t4790
2213 t5022 = 0.1666666667e0_dp*t429*t679*t1410
2214 t5025 = 0.1666666667e0_dp*t429*t166*t4797
2215 t5028 = 0.8333333335e-1_dp*t429*t166*t4801
2216 t5029 = t56*t4782
2217 t5032 = 0.1666666667e0_dp*t165*t5029*t237
2218 t5035 = 0.3333333334e0_dp*t165*t679*t1447
2219 t5036 = -t4872 + 0.3333333334e0_dp*t4874 + t4878 + 0.3333333334e0_dp* &
2220 t55*t57*t4958 + 0.2e1_dp*t147*t149*(-0.5625000000e1_dp*t1302 &
2221 *t1459*t4701 + 0.4500000000e1_dp*t400*t2022*t561 + 0.2250000000e1_dp &
2222 *t400*t1459*t4729 - 0.1500000000e1_dp*t151*t50*t4853 &
2223 + 0.7500000000e0_dp*t400*t1466*t4701 - 0.5000000000e0_dp*t405 &
2224 *t1466*t4729) - 0.3600000000e2_dp*t2081*t4760*t250 + 0.1800000000e2_dp &
2225 *t658*t4764*t250 + 0.3600000000e2_dp*t658*t575*t1471 &
2226 + 0.1620000000e3_dp*t4995*t4772*t250 + t5001 + t5005 - t5008 &
2227 - 0.5555555555e-1_dp*t5011 - t5016 + t5019 - t5022 - t5025 - t5028 &
2228 + t5032 + t5035
2229 t5040 = t379*t4729
2230 t5043 = 0.1666666668e0_dp*t289*t84*t5040
2231 t5044 = t140*t4853
2232 t5047 = 0.1666666668e0_dp*t289*t84*t5044
2233 t5050 = 0.1666666668e0_dp*t165*t897*t4729
2234 t5051 = beta*t86
2235 t5060 = beta*t92
2236 t5065 = my_rho*t4713
2237 t5069 = my_rho*t4725
2238 t5079 = t136*t4713
2239 t5083 = t645*t557
2240 t5087 = t136*t4725
2241 t5106 = beta*t640
2242 t5108 = t126*t371*my_ndrho
2243 t5115 = t366*t640
2244 t5118 = -0.480e2_dp*t5051*t4717 + 0.240e2_dp*t7*t2182*t2480*t371 &
2245 + 0.480e2_dp*t5060*t628 - 0.240e2_dp*t7*t1640*t1438*t371 &
2246 *my_rho + 0.120e2_dp*t550*t637 - 0.180e2_dp*t5106*t5108 - 0.120e2_dp &
2247 *t7*t640*t635*t371 + 0.180e2_dp*t5115*t1681
2248 t5122 = -0.320e2_dp*t5051*t4708 + 0.640e2_dp*t1582*t558 - 0.320e2_dp &
2249 *t302*t4714 + 0.160e2_dp*t302*t4726 + 0.320e2_dp*t5060*t99 - &
2250 0.640e2_dp*t605*t609 + 0.320e2_dp*t93*t953*t5065 - 0.160e2_dp* &
2251 t93*t316*t5069 - 0.40e1_dp*t624*t137 + 0.160e2_dp*t112*t615 &
2252 - 0.80e1_dp*t112*t646 - 0.120e2_dp*t102*t974*t5079 + 0.80e1_dp* &
2253 t102*t327*t5083 + 0.40e1_dp*t102*t327*t5087 - 0.20e1_dp*t102 &
2254 *t105*t5118
2255 t5123 = t5122*t237
2256 t5126 = 0.1666666668e0_dp*t289*t84*t5123
2257 t5139 = t25*t4701
2258 t5143 = t25*t4729
2259 t5147 = -0.5625000000e1_dp*t1302*t401*t4701 + 0.4500000000e1_dp*t400 &
2260 *t1892*t561 + 0.2250000000e1_dp*t400*t401*t4729 - 0.1500000000e1_dp &
2261 *t151*t50*t5122 - 0.2250000000e1_dp*t400*t156*t5139 &
2262 + 0.1500000000e1_dp*t405*t156*t5143
2263 t5163 = t140*t4701
2264 t5170 = t649*t561
2265 t5174 = t140*t4729
2266 t5226 = 0.5400000000e2_dp*t1143*t474*t4701 - 0.3600000000e2_dp*t473 &
2267 *t1801*t561 - 0.1800000000e2_dp*t473*t474*t4729 + 0.8999999998e1_dp &
2268 *t178*t62*t5122 + 0.3600000000e2_dp*t473*t183*t5139 &
2269 - 0.1800000000e2_dp*t478*t183*t5143
2270 t5228 = t705*t59
2271 t5229 = t5228*t177
2272 t5237 = t649*t177
2273 t5244 = t60*t705
2274 t5247 = t187*t4769
2275 t5251 = t58*t5122
2276 t5256 = t140*t1141
2277 t5262 = t471*t722
2278 t5270 = t68*t5226
2279 t5271 = t5270*t65
2280 t5276 = t5226*t65 + 0.1800000000e2_dp*t5229*t710 - 0.2250000000e2_dp &
2281 *t707*t471*t4905 + 0.8999999998e1_dp*t708*t4909 - 0.1000000000e1_dp &
2282 *t5237*t709 - 0.5000000001e0_dp*t716*t4908 - 0.1000000001e1_dp &
2283 *t723*t4908 - 0.1000000000e1_dp*t5244*t709 + 0.8099999996e2_dp &
2284 *t5247*t1141*t4915 - 0.5555555558e-1_dp*t5251*t71 + 0.1000000000e1_dp &
2285 *t2098*t4904 - 0.4500000000e1_dp*t5256*t4701*t4940 &
2286 - 0.1111111112e0_dp*t4943*t196 - 0.9000000007e1_dp*t5262*t4701 &
2287 *t4940 - 0.5555555558e-1_dp*t4943*t200 - 0.1111111112e0_dp*t719* &
2288 t729 - 0.5555555558e-1_dp*t192*t5271 - 0.5000000001e0_dp*t732*t4908
2289 t5280 = (2*t147*t149*t5147) - 0.3600000000e2_dp*t2081*t4760 &
2290 *t161 + 0.1800000000e2_dp*t658*t4764*t161 + 0.3600000000e2_dp &
2291 *t658*t575*t673 + 0.1620000000e3_dp*t4995*t4772*t161 + 0.1250000000e0_dp &
2292 *t1368*t166*t5163 - 0.1666666667e0_dp*t429*t679 &
2293 *t593 - 0.1666666667e0_dp*t429*t166*t5170 - 0.8333333335e-1_dp* &
2294 t429*t166*t5174 + 0.1666666667e0_dp*t165*t5029*t140 + 0.3333333334e0_dp &
2295 *t165*t679*t649 + 0.1666666667e0_dp*t165*t166*t5122 &
2296 - 0.8333333335e-1_dp*t1246*t446*t5139 + 0.3333333334e0_dp*t445 &
2297 *t1962*t668 + 0.1666666667e0_dp*t445*t446*t5143 + 0.3333333334e0_dp &
2298 *t170*t5013*t172 - 0.8333333335e-1_dp*t429*t462*t4701 &
2299 + 0.3333333334e0_dp*t165*t1966*t561 + 0.1666666667e0_dp*t165 &
2300 *t462*t4729 + 0.3333333334e0_dp*t55*t57*t5276
2301 t5281 = t45*t5280
2302 t5284 = 0.3333333336e0_dp*t83*t5281*t237
2303 t5291 = 0.1666666668e0_dp*t289*t384*t4801
2304 t5294 = 0.1666666668e0_dp*t1546*t3865*t1410
2305 t5295 = t45*t4786
2306 t5298 = 0.3333333336e0_dp*t83*t5295*t379
2307 t5301 = 0.3333333336e0_dp*t55*t384*t4729
2308 t5303 = t83*t1564*t649
2309 t5305 = -t5043 - t5047 - t5050 - t5126 - t5284 - 0.3333333336e0_dp*t83 &
2310 *t45*t5036*t140 - t5291 + t5294 - t5298 - t5301 - 0.6666666672e0_dp &
2311 *t5303
2312 t5308 = 0.3333333336e0_dp*t289*t1694*t1410
2313 t5311 = 0.1666666668e0_dp*t289*t1071*t4701
2314 t5314 = 0.1666666668e0_dp*t289*t5295*t290
2315 t5317 = 0.3333333336e0_dp*t165*t3861*t561
2316 t5320 = 0.3333333336e0_dp*t83*t1071*t4729
2317 t5323 = 0.1666666668e0_dp*t1546*t3861*t1410
2318 t5326 = 0.1250000001e0_dp*t3842*t897*t4790
2319 t5329 = 0.6666666672e0_dp*t83*t1694*t1447
2320 t5330 = t379*t4701
2321 t5333 = 0.8333333340e-1_dp*t906*t84*t5330
2322 t5335 = 0.2222222224e0_dp*t383*t5281
2323 t5338 = 0.6666666672e0_dp*t55*t1694*t561
2324 t5339 = t649*t1447
2325 t5342 = 0.3333333336e0_dp*t289*t84*t5339
2326 t5343 = -t5308 - t5311 - t5314 - t5317 - t5320 + t5323 - t5326 - t5329 &
2327 + t5333 - t5335 - t5338 - t5342
2328 t5345 = t1688*t561
2329 t5347 = t289*t84*t5345
2330 t5351 = 0.1666666668e0_dp*t164*t384*t4701
2331 t5354 = 0.3333333336e0_dp*t83*t384*t4853
2332 t5357 = 0.6666666672e0_dp*t55*t597*t649
2333 t5360 = 0.3333333336e0_dp*t289*t384*t4797
2334 t5363 = 0.8333333335e-1_dp*t429*t166*t5040
2335 t5367 = 0.1666666667e0_dp*t445*t4782*my_rho*t413
2336 t5370 = 0.1666666667e0_dp*t429*t679*t1557
2337 t5371 = t225*t4701
2338 t5373 = t2885*t446*t5371
2339 t5376 = t165*t466*t5009
2340 t5379 = t165*t1928*t649
2341 t5383 = 0.4166666667e-1_dp*t2763*t1247*t5002
2342 t5386 = 0.8333333335e-1_dp*t429*t5029*t290
2343 t5389 = 0.8333333335e-1_dp*t429*t166*t5044
2344 t5397 = 0.8333333335e-1_dp*t1246*t446*t413*t4729
2345 t5400 = 0.3333333334e0_dp*t445*t1962*t1825
2346 t5402 = t165*t679*t1688
2347 t5406 = 0.8333333335e-1_dp*t429*t166*t5123
2348 t5409 = 0.8333333335e-1_dp*t429*t1392*t4701
2349 t5412 = 0.8333333335e-1_dp*t429*t171*t5139
2350 t5415 = 0.1666666667e0_dp*t429*t462*t4797
2351 t5418 = 2*t147*t393*t5147
2352 t5421 = t657*t1884*t59*t1975
2353 t5423 = -t5363 + t5367 - t5370 + 0.1111111111e0_dp*t5373 - 0.5555555555e-1_dp &
2354 *t5376 + 0.3333333334e0_dp*t5379 - t5383 - t5386 - t5389 + &
2355 0.3333333334e0_dp*t170*t27*t4958*t172 - t5397 + t5400 + 0.3333333334e0_dp &
2356 *t5402 - t5406 - t5409 - t5412 - t5415 + t5418 + 0.3600000000e2_dp &
2357 *t5421
2358 t5426 = 0.8333333335e-1_dp*t1246*t1292*t5139
2359 t5429 = 0.1666666667e0_dp*t445*t1292*t5143
2360 t5430 = t225*t4729
2361 t5432 = t1373*t446*t5430
2362 t5436 = 0.1666666667e0_dp*t165*t5029*t379
2363 t5440 = 0.40e1_dp*t102*t327*t375*t4725
2364 t5443 = 0.960e2_dp*t1597*t3608*t4829
2365 t5446 = 0.480e2_dp*t24*t23*t1618
2366 t5449 = 0.1173333333e3_dp*t307*t2611*t5065
2367 t5451 = 0.640e2_dp*t605*t1603
2368 t5454 = 0.2133333334e2_dp*t321*t953*t5083
2369 t5456 = 0.1280e3_dp*t1582*t1426
2370 t5459 = 0.5333333333e1_dp*t321*t316*t5118
2371 t5460 = beta*t306
2372 t5462 = 0.1173333333e3_dp*t5460*t313
2373 t5466 = 0.40e1_dp*t102*t327*t136*t4849
2374 t5468 = 0.2346666666e3_dp*t605*t1420
2375 t5469 = t5440 - t5443 - t5446 - t5449 - t5451 - t5454 - t5456 + t5459 &
2376 - t5462 + t5466 - t5468
2377 t5472 = 0.3200000001e2_dp*t321*t2455*t5079
2378 t5474 = 0.4266666668e2_dp*t339*t1608
2379 t5478 = 0.240e2_dp*t1616*t973*t645*t1425
2380 t5480 = 0.1760000000e3_dp*t5060*t627
2381 t5482 = 0.2160000000e3_dp*t7*t1642
2382 t5484 = 0.1760000000e3_dp*t5460*t347
2383 t5487 = 0.2160000000e3_dp*t7*t995*t1652
2384 t5489 = 0.1600000000e2_dp*t1429*t1658
2385 t5492 = 0.7200000000e2_dp*beta*t368*t5108
2386 t5494 = 0.6400000000e2_dp*t7*t1677
2387 t5496 = t366*t368*t1681
2388 t5499 = 0.120e2_dp*t550*t1669
2389 t5503 = 0.180e2_dp*t5106*t360*t371*my_ndrho
2390 t5507 = 0.120e2_dp*t7*t640*t1667*t371
2391 t5509 = 0.180e2_dp*t5115*t3668
2392 t5511 = t1680*t3673*t23
2393 t5516 = t5480 - t5482 - t5484 + t5487 - t5489 + t5492 + t5494 - 0.1920000000e3_dp &
2394 *t5496 + t5499 - t5503 - t5507 + t5509 - 0.4800000000e2_dp &
2395 *t5511 + 0.1200000000e3_dp*t1055*t2565*t4721
2396 t5523 = 0.120e2_dp*t102*t974*t375*t4713
2397 t5525 = 0.2133333334e2_dp*t339*t1611
2398 t5528 = t102*t327*t1684*t557
2399 t5531 = 0.160e2_dp*t112*t1626
2400 t5533 = 0.160e2_dp*t112*t1632
2401 t5535 = 0.640e2_dp*t1582*t1444
2402 t5537 = 0.160e2_dp*t112*t1622
2403 t5540 = 0.320e2_dp*t1597*t1598*t4837
2404 t5541 = t5472 - t5474 - t5478 - 0.20e1_dp*t102*t105*t5516 - t5523 &
2405 + t5525 + 0.80e1_dp*t5528 + t5531 + t5533 + t5535 + t5537 + t5540
2406 t5545 = 0.480e2_dp*t1616*t3750*t4829
2407 t5548 = 0.120e2_dp*t1616*t1617*t4837
2408 t5551 = 0.1280e3_dp*t24*t298*t1599
2409 t5553 = 0.160e2_dp*t302*t4850
2410 t5558 = 0.320e2_dp*t5060*t97*t104*my_rho*t233
2411 t5560 = 0.2346666666e3_dp*t1589*t1592
2412 t5562 = 0.5866666667e2_dp*t93*t4820
2413 t5564 = 0.1173333333e3_dp*t5060*t98
2414 t5565 = t112*t1685
2415 t5568 = 0.1066666667e2_dp*t1645*t322
2416 t5572 = 0.40e1_dp*t102*t327*t5118*t233
2417 t5574 = 0.1173333333e3_dp*t93*t4817
2418 t5575 = t5545 - t5548 + t5551 + t5553 - t5558 + t5560 - t5562 + t5564 &
2419 - 0.80e1_dp*t5565 + t5568 + t5572 + t5574
2420 t5579 = 0.80e1_dp*t102*t327*t645*t1443
2421 t5581 = 0.320e2_dp*t302*t4838
2422 t5585 = 0.160e2_dp*t93*t316*my_rho*t4849
2423 t5590 = 0.80e1_dp*t624*t22*t326*t136*t233
2424 t5593 = 0.1066666667e2_dp*t321*t953*t5087
2425 t5595 = 0.640e2_dp*t302*t4834
2426 t5597 = 0.960e2_dp*t302*t4830
2427 t5600 = 0.240e2_dp*t1616*t1617*t4833
2428 t5602 = 0.40e1_dp*t624*t376
2429 t5604 = 0.320e2_dp*t5051*t234
2430 t5607 = 0.5866666667e2_dp*t307*t949*t5069
2431 t5610 = 0.640e2_dp*t1597*t1598*t4833
2432 t5611 = t5579 - t5581 - t5585 + t5590 - t5593 - t5595 + t5597 - t5600 &
2433 - t5602 + t5604 + t5607 + t5610
2434 t5613 = t5469 + t5541 + t5575 + t5611
2435 t5619 = 0.3333333334e0_dp*t170*t5013*t25
2436 t5622 = 0.1666666667e0_dp*t165*t1392*t4729
2437 t5625 = 0.1666666667e0_dp*t429*t166*t5339
2438 t5628 = 0.3600000000e2_dp*t2081*t4760*t425
2439 t5631 = 0.5555555556e-1_dp*t1246*t4032*t1483
2440 t5632 = t25*t4853
2441 t5635 = 0.1500000000e1_dp*t405*t156*t5632
2442 t5638 = 0.2250000000e1_dp*t400*t1333*t4701
2443 t5641 = 0.1500000000e1_dp*t405*t1333*t4729
2444 t5643 = t400*t3975*t561
2445 t5647 = 0.5625000000e1_dp*t1302*t1309*t4701
2446 t5650 = 0.5625000000e1_dp*t1302*t401*t4801
2447 t5653 = 0.4500000000e1_dp*t400*t1892*t1447
2448 t5657 = 0.5000000000e0_dp*t405*t68*t5122*t17
2449 t5660 = 0.1125000000e2_dp*t1302*t401*t4797
2450 t5663 = 0.1500000000e1_dp*t400*t417*t5371
2451 t5666 = 0.1125000000e2_dp*t1302*t1892*t1410
2452 t5667 = t5635 - t5638 + t5641 + 0.4500000000e1_dp*t5643 - t5647 - t5650 &
2453 + t5653 - t5657 - t5660 + t5663 - t5666
2454 t5670 = 0.2250000000e1_dp*t400*t1309*t4729
2455 t5671 = t172*t4801
2456 t5673 = 0.2250000000e1_dp*t1912*t5671
2457 t5676 = 0.2250000000e1_dp*t400*t401*t4853
2458 t5679 = 0.1875000000e1_dp*t1302*t406*t5002
2459 t5682 = 0.1500000000e1_dp*t400*t1902*t1483
2460 t5686 = 0.2250000000e1_dp*t400*t19*t5122*t237
2461 t5689 = 0.1000000000e1_dp*t405*t417*t5430
2462 t5692 = 0.1968750000e2_dp*t2823*t401*t4790
2463 t5695 = 0.7500000000e0_dp*t400*t406*t5009
2464 t5696 = t172*t4790
2465 t5698 = 0.5625000000e1_dp*t3939*t5696
2466 t5699 = t172*t4797
2467 t5701 = 0.4500000000e1_dp*t1912*t5699
2468 t5705 = t5670 - t5673 + t5676 - t5679 + t5682 + t5686 - t5689 + t5692 &
2469 + t5695 + t5698 - t5701 - 0.1500000000e1_dp*t151*t50*t5613
2470 t5713 = t4739*t160
2471 t5716 = 0.1620000000e3_dp*t4994*t392*t4769*t1141*t26*t5713
2472 t5719 = 0.3333333334e0_dp*t165*t1966*t1447
2473 t5722 = 0.1111111111e0_dp*t165*t689*t1988
2474 t5724 = t429*t166*t5345
2475 t5728 = 0.2500000000e0_dp*t1981*t1247*t4797
2476 t5731 = 0.1666666667e0_dp*t445*t446*t5632
2477 t5734 = 0.1666666667e0_dp*t429*t679*t1553
2478 t5738 = 0.4444444445e0_dp*t170*t114*t4782*t451
2479 t5741 = 0.1666666667e0_dp*t165*t171*t5143
2480 t5742 = -t5426 + t5429 - 0.2222222222e0_dp*t5432 + t5436 + 0.1666666667e0_dp &
2481 *t165*t166*t5613 + t5619 + t5622 - t5625 - t5628 + t5631 &
2482 + (2*t147*t149*(t5667 + t5705)) + t5716 + t5719 - t5722 &
2483 - 0.1666666667e0_dp*t5724 + t5728 + t5731 - t5734 - t5738 + t5741
2484 t5745 = t165*t4498*t561
2485 t5749 = 0.1666666667e0_dp*t429*t437*t5170
2486 t5752 = 0.8333333335e-1_dp*t429*t462*t4801
2487 t5756 = 0.1111111111e0_dp*t170*t27*t5276*t17
2488 t5760 = 0.1250000000e0_dp*t2763*t446*t413*t4701
2489 t5767 = 0.1666666667e0_dp*t165*t437*t5122
2490 t5770 = 0.1620000000e3_dp*t4995*t4772*t425
2491 t5773 = 0.1250000000e0_dp*t1368*t437*t5163
2492 t5776 = 0.2777777778e-1_dp*t1246*t1247*t5009
2493 t5780 = 0.1666666667e0_dp*t165*t56*t5276*t237
2494 t5783 = 0.5555555557e-1_dp*t165*t5013*t433
2495 t5786 = 0.3333333334e0_dp*t165*t689*t668
2496 t5789 = 0.1250000000e0_dp*t1368*t166*t5330
2497 t5792 = 0.2777777778e-1_dp*t429*t466*t5002
2498 t5795 = 0.1111111111e0_dp*t165*t1940*t1483
2499 t5797 = t1373*t1962*t1829
2500 t5801 = 0.3600000000e2_dp*t1143*t479*t5002
2501 t5804 = 0.2400000000e2_dp*t473*t1811*t1483
2502 t5807 = 0.2160000000e3_dp*t2994*t474*t4790
2503 t5810 = 0.1080000000e3_dp*t1143*t1801*t1410
2504 t5813 = 0.1800000000e2_dp*t478*t183*t5632
2505 t5816 = 0.3600000000e2_dp*t473*t1176*t4701
2506 t5819 = 0.1800000000e2_dp*t478*t1176*t4729
2507 t5822 = 0.1800000000e2_dp*t473*t474*t4853
2508 t5825 = 0.1200000000e2_dp*t473*t479*t5009
2509 t5828 = 0.3600000000e2_dp*t473*t1801*t1447
2510 t5830 = 0.1080000000e3_dp*t4230*t5696
2511 t5831 = t5801 - t5804 - t5807 + t5810 - t5813 + t5816 - t5819 - t5822 &
2512 - t5825 - t5828 - t5830
2513 t5833 = 0.7200000000e2_dp*t1821*t5699
2514 t5835 = 0.3600000000e2_dp*t1821*t5671
2515 t5838 = 0.1080000000e3_dp*t1143*t474*t4797
2516 t5841 = 0.5400000000e2_dp*t1143*t474*t4801
2517 t5845 = 0.1800000000e2_dp*t473*t20*t5122*t237
2518 t5848 = 0.5400000000e2_dp*t1143*t1150*t4701
2519 t5850 = t473*t4201*t561
2520 t5854 = 0.1200000000e2_dp*t473*t489*t5371
2521 t5857 = 0.6000000000e1_dp*t478*t489*t5430
2522 t5861 = 0.5999999999e1_dp*t478*t56*t5122*t17
2523 t5864 = 0.1800000000e2_dp*t473*t1150*t4729
2524 t5868 = t5833 + t5835 + t5838 + t5841 - t5845 + t5848 - 0.3600000000e2_dp &
2525 *t5850 - t5854 + t5857 + t5861 - t5864 + 0.8999999998e1_dp*t178 &
2526 *t62*t5613
2527 t5869 = t5831 + t5868
2528 t5875 = t1447*t187*t1722
2529 t5880 = 0.3703703705e-1_dp*t192*t194*t5226*t526
2530 t5881 = t1141*t4701
2531 t5885 = t719*t1769
2532 t5888 = t60*t1836*t709
2533 t5891 = 0.5555555558e-1_dp*t4943*t534
2534 t5898 = t705*t1504*t65
2535 t5902 = 0.1800000000e2_dp*t1718*t178*t710
2536 t5905 = 0.5555555558e-1_dp*t192*t5270*t267
2537 t5908 = t1836*t59*t177*t710
2538 t5911 = t266*t4729*t65
2539 t5913 = 0.1000000001e1_dp*t723*t5911
2540 t5918 = t140*t1504*t1722
2541 t5922 = 0.1111111112e0_dp*t4776*t515*t517
2542 t5925 = 0.8099999996e2_dp*t498*t4770*t4915
2543 t5926 = -0.5555555558e-1_dp*t192*t68*t5869*t65 - 0.1000000000e1_dp &
2544 *t5875 + t5880 + 0.3000000000e1_dp*t1748*t5881*t4940 - 0.1111111112e0_dp &
2545 *t5885 - 0.1000000000e1_dp*t5888 - t5891 + t5869*t65 + &
2546 0.666666666e0_dp*t1519*t722*t4729*t65 + (2*t5898) + t5902 &
2547 - t5905 + 0.1800000000e2_dp*t5908 - t5913 - 0.1111111112e0_dp*t516 &
2548 *t4898*t172 - 0.1000000000e1_dp*t5918 - t5922 + t5925
2549 t5929 = 0.2250000000e2_dp*t1740*t471*t4905
2550 t5932 = 0.1000000000e1_dp*t649*t266*t1722
2551 t5938 = t192*t728*t1505
2552 t5940 = t4918*t67
2553 t5942 = 0.1111111112e0_dp*t5940*t196
2554 t5944 = t1447*t722*t1722
2555 t5949 = 0.8999999998e1_dp*t1795*t4909
2556 t5952 = 0.9000000007e1_dp*t1763*t5881*t4940
2557 t5954 = 0.8999999998e1_dp*t1741*t4909
2558 t5956 = t471*t4701*t65
2559 t5958 = 0.1000000000e1_dp*t1766*t5956
2560 t5960 = 0.5555555558e-1_dp*t5940*t200
2561 t5963 = 0.1000000000e1_dp*t379*t471*t4904
2562 t5964 = t1715*t1525
2563 t5966 = t1785*t1790
2564 t5971 = 0.4500000000e1_dp*t379*t1141*t4701*t4940
2565 t5973 = 0.5555555558e-1_dp*t4943*t531
2566 t5975 = t5226*t266*t65
2567 t5977 = 0.1111111112e0_dp*t1755*t729
2568 t5978 = -t5929 - t5932 + 0.3333333334e0_dp*t1519*t187*t4729*t65 &
2569 - 0.1111111112e0_dp*t5938 - t5942 - 0.2000000002e1_dp*t5944 - 0.5555555558e-1_dp &
2570 *t503*t4955 + t5949 - t5952 + t5954 + t5958 - t5960 &
2571 + t5963 - 0.1111111112e0_dp*t5964 - 0.2222222224e0_dp*t5966 - t5971 &
2572 - t5973 + t5975 - t5977
2573 t5985 = 0.5000000001e0_dp*t1774*t4908
2574 t5990 = t177*t4729*t65
2575 t5994 = 0.5000000001e0_dp*t1766*t5990
2576 t5996 = 0.3703703705e-1_dp*t4943*t527
2577 t6000 = 0.9000000007e1_dp*t5262*t266*t4701*t4940
2578 t6002 = 0.1851851853e0_dp*t4943*t512
2579 t6004 = t1709*t178*t710
2580 t6006 = t719*t1838
2581 t6009 = 0.5000000001e0_dp*t1777*t4908
2582 t6017 = 0.5000000001e0_dp*t732*t5911
2583 t6019 = 0.7407407410e-1_dp*t719*t1726
2584 t6021 = t649*t1518*t1722
2585 t6023 = t5251*t67
2586 t6025 = 0.3703703705e-1_dp*t6023*t271
2587 t6029 = 0.5999999993e1_dp*t4946*t722*t4701*t4940 - t5985 - 0.5555555558e-1_dp &
2588 *t192*t199*t4898 + 0.3333333334e0_dp*t1748*t5990 &
2589 - t5994 + t5996 - t6000 + t6002 + 0.1800000000e2_dp*t6004 - 0.1111111112e0_dp &
2590 *t6006 - t6009 + 0.3000000000e1_dp*t4946*t187*t4701 &
2591 *t4940 - 0.6666666668e0_dp*t1748*t5956 - t6017 + t6019 + 0.6666666668e0_dp &
2592 *t6021 + t6025 - 0.5555555558e-1_dp*t58*t5613*t71
2593 t6031 = 0.5000000001e0_dp*t1720*t5990
2594 t6033 = 0.1000000000e1_dp*t5244*t1712
2595 t6036 = 0.2250000000e2_dp*t498*t472*t4905
2596 t6040 = 0.5555555558e-1_dp*t6023*t275
2597 t6042 = 0.1000000001e1_dp*t1763*t5990
2598 t6044 = 0.2000000002e1_dp*t1763*t5956
2599 t6047 = 0.4500000000e1_dp*t1720*t5881*t4940
2600 t6049 = t1688*t177*t709
2601 t6052 = t1504*t561*t65
2602 t6053 = t732*t6052
2603 t6056 = 0.5555555558e-1_dp*t508*t5271
2604 t6058 = 0.1111111112e0_dp*t4943*t520
2605 t6060 = t1766*t5881*t4940
2606 t6063 = 0.1000000000e1_dp*t1720*t5956
2607 t6066 = t1519*t705*t561*t65
2608 t6074 = 0.8099999996e2_dp*t496*t4769*t1141*t4915
2609 t6075 = t723*t6052
2610 t6078 = 0.1111111112e0_dp*t719*t1782
2611 t6079 = -t6031 - t6033 - t6036 + t187*t4897*t65 - t6040 - t6042 &
2612 + t6044 - t6047 - 0.1000000000e1_dp*t6049 - 0.1000000000e1_dp*t6053 &
2613 - t6056 - t6058 - 0.4500000000e1_dp*t6060 + t6063 + 0.6666666668e0_dp &
2614 *t6066 - 0.1000000000e1_dp*t237*t705*t1722 + t6074 - 0.2000000002e1_dp &
2615 *t6075 - t6078
2616 t6087 = 0.1666666667e0_dp*t429*t1966*t1410
2617 t6090 = 0.3125000000e0_dp*t4025*t1247*t4790
2618 t6091 = 0.3333333334e0_dp*t5745 - t5749 - t5752 - t5756 + t5760 + 0.1666666667e0_dp &
2619 *t165*t56*t4958*t140 + t5767 + t5770 + t5773 + &
2620 t5776 + t5780 - t5783 + t5786 + t5789 + t5792 - t5795 - 0.4444444444e0_dp &
2621 *t5797 + 0.3333333334e0_dp*t55*t57*(t5926 + t5978 + t6029 &
2622 + t6079) - t6087 - t6090
2623 t6094 = 0.1250000000e0_dp*t1981*t1247*t4801
2624 t6099 = 0.1800000000e2_dp*t1971*t1972*t4729*t149*t160
2625 t6102 = 0.2500000000e0_dp*t1981*t4553*t1410
2626 t6106 = 0.3600000000e2_dp*t1971*t1972*t1973*t672
2627 t6109 = 0.1666666667e0_dp*t1246*t1962*t1865
2628 t6112 = 0.5555555556e-1_dp*t1246*t4553*t1483
2629 t6116 = 0.3600000000e2_dp*t1971*t471*t20*t5713
2630 t6119 = 0.1250000000e0_dp*t1368*t462*t4790
2631 t6123 = 0.1666666667e0_dp*t1246*t446*t1825*t561
2632 t6126 = 0.1800000000e2_dp*t658*t4764*t425
2633 t6129 = 0.8333333335e-1_dp*t429*t437*t5174
2634 t6132 = 0.1666666667e0_dp*t165*t462*t4853
2635 t6136 = 0.5555555557e-1_dp*t165*t171*t5122*t17
2636 t6138 = t429*t1928*t593
2637 t6141 = t658*t575*t1925
2638 t6144 = t445*t4512*t668
2639 t6155 = 0.2500000000e0_dp*t1981*t4032*t1410
2640 t6158 = 0.1666666667e0_dp*t429*t679*t1571
2641 t6160 = t147*t1885*t672
2642 t6162 = t6094 + t6099 + t6102 + t6106 - t6109 + t6112 - t6116 + t6119 &
2643 - t6123 + t6126 - t6129 + t6132 - t6136 - 0.1666666667e0_dp*t6138 &
2644 + 0.3600000000e2_dp*t6141 + 0.3333333334e0_dp*t6144 + 0.2e1_dp*t147 &
2645 *(t4881 - t4884 - t4887 + 0.9000000000e1_dp*t4889 - t4893 + 0.6000000000e1_dp &
2646 *t4895)*t149*t160 + t6155 - t6158 + (4*t6160)
2647 t6170 = 0.3333333336e0_dp*t289*t597*t1571
2648 t6173 = 0.3333333336e0_dp*t55*t5295*t140
2649 t6175 = t83*t597*t1688
2650 t6179 = 0.3333333336e0_dp*t165*t3865*t561
2651 t6181 = t289*t1564*t593
2652 t6185 = 0.3333333336e0_dp*t289*t597*t1553
2653 t6186 = -0.3333333336e0_dp*t5347 - t5351 - t5354 - t5357 - t5360 - 0.2222222224e0_dp &
2654 *t144*t46*(t5423 + t5742 + t6091 + t6162) - t6170 &
2655 - t6173 - 0.6666666672e0_dp*t6175 - t6179 - 0.3333333336e0_dp*t6181 &
2656 - t6185
2657 t6189 = 0.8333333340e-1_dp*t906*t294*t5163
2658 t6192 = 0.3333333336e0_dp*t83*t294*t5122
2659 t6194 = t83*t3875*t561
2660 t6198 = 0.3333333336e0_dp*t289*t294*t5170
2661 t6201 = 0.3333333336e0_dp*t289*t597*t1557
2662 t6207 = 0.1666666668e0_dp*t1546*t897*t4797
2663 t6210 = 0.1666666668e0_dp*t289*t294*t5174
2664 t6213 = 0.3333333336e0_dp*t55*t84*t5122
2665 t6216 = 0.8333333340e-1_dp*t429*t897*t4701
2666 t6219 = 0.8333333340e-1_dp*t906*t384*t4790
2667 t6222 = 0.8333333340e-1_dp*t1546*t897*t4801
2668 t6223 = t6189 - t6192 - 0.6666666672e0_dp*t6194 - t6198 - t6201 - 0.3333333336e0_dp &
2669 *t83*t84*t5613 + t6207 - t6210 - t6213 + t6216 + &
2670 t6219 + t6222
2671 t6227 = -t4704 - t4707 - t4732 - t4789 + t4793 - t4796 - t4800 - t4804 &
2672 - t4808 - t4812 - t4857 - t4861 - 0.1333333334e1_dp*t4864 - t4869 &
2673 - 0.4444444448e0_dp*t43*t46*t5036 + t8*(t5305 + t5343 + t6186 &
2674 + t6223)
2675 e_ndrho_ndrho_rho(ii) = e_ndrho_ndrho_rho(ii) + t6227*sx
2676 t6247 = t4769*t2992
2677 t6249 = t4772*t2027
2678 t6252 = t56*t4701
2679 t6253 = t6252*t526
2680 t6256 = t56*t4729
2681 t6257 = t6256*t526
2682 t6260 = t4743*t526
2683 t6263 = t20*t4853
2684 t6267 = t26*t1447
2685 t6268 = t6267*t709
2686 t6271 = t4764*t2027
2687 t6281 = -0.1620000000e3_dp*t6247*t4733*t6249 - 0.1200000000e2_dp* &
2688 t473*t6253 + 0.5999999999e1_dp*t478*t6257 + 0.5399999998e2_dp*t4771 &
2689 *t6260 + 0.8999999998e1_dp*t478*t6263*t65 + 0.8099999996e2_dp &
2690 *t4771*t6268 - 0.1800000000e2_dp*t473*t6271 - 0.4050000000e2_dp &
2691 *t473*t575*t2095 - 0.5000000001e0_dp*t60*t4853*t65 + 0.8999999998e1_dp &
2692 *t4901 - t4907 + t4911
2693 t6283 = t4701*t1518
2694 t6290 = t4917 - t4920 + 0.5000000001e0_dp*t4922 + t4925 + 0.3333333334e0_dp &
2695 *t6283*t177*t65 - 0.5000000001e0_dp*t4929 - t4932 - t4935 &
2696 + 0.5850000000e2_dp*t4941 + t4945 - t4951 - 0.5555555558e-1_dp*t4952
2697 t6291 = t6281 + t6290
2698 t6308 = 0.4050000000e2_dp*t4734*t4736*t2821*t18*t4739*t237 &
2699 - 0.1125000000e2_dp*t2013*t1300*t19*t4790 - t5028 - t5022 + &
2700 0.1500000000e1_dp*t2013*t398*t68*t5002 + 0.3333333334e0_dp*t55 &
2701 *t57*t6291 + t5019 - 0.3000000000e1_dp*t566*t1885*t569 - t5016 &
2702 - 0.9000000000e1_dp*t4734*t4736*t1300*t4701*t149*t17 &
2703 + t5032 + 0.1666666667e0_dp*t165*t2088*t561 - 0.5555555557e-1_dp* &
2704 t5011 + t5001
2705 t6338 = 0.1666666667e0_dp*t4874 - t5025 - 0.2700000000e2_dp*t4734*t392 &
2706 *t4736*t1300*my_rho*t5002*t149 - 0.3000000000e1_dp*t2009 &
2707 *t4748 - 0.2700000000e2_dp*t4738*t18*t1973*t1447 - t5008 - &
2708 0.3000000000e1_dp*t567*t151*t19*t4853 + t5035 - 0.1000000000e1_dp &
2709 *t2013*t2018*t5009 + 0.9000000000e1_dp*t2013*t2014*t4797 &
2710 - t4872 + 0.4500000000e1_dp*t2013*t2014*t4801 + t4878 + t5005 &
2711 + 0.4500000000e1_dp*t2009*t4744
2712 t6339 = t6308 + t6338
2713 t6344 = -t5043 - t5047 - t5050 - t5126 - t5284 - t5291 + t5294 - t5298 &
2714 - t5301 - 0.3333333336e0_dp*t5303 - t5308 - t5311 - t5314
2715 t6352 = t5440 - t5443 - t5446 - t5449 - t5451 - t5454 + 0.40e1_dp*t102 &
2716 *t327*t2057*t557 - t5456 + t5459 - t5462 + t5466 - t5468
2717 t6363 = t5480 - t5482 - t5484 + t5487 - t5489 + t5492 + t5494 - 0.9600000000e2_dp &
2718 *t5496 + t5499 - t5503 - t5507 + t5509 - 0.2400000000e2_dp &
2719 *t5511 - 0.960e2_dp*t5115*t1060 - 0.240e2_dp*t2054*t3674 + 0.1200e3_dp &
2720 *t1054*t640*t3679
2721 t6367 = t5472 - t5474 - t5478 - t5523 + t5525 + 0.40e1_dp*t5528 + t5531 &
2722 + t5533 + t5535 + t5537 - 0.20e1_dp*t102*t105*t6363 + t5540
2723 t6370 = t5545 - t5548 + t5551 + t5553 - t5558 + t5560 - t5562 + t5564 &
2724 - 0.40e1_dp*t5565 + t5568 + t5572 + t5574
2725 t6373 = t5579 - t5581 - 0.40e1_dp*t112*t2058 - t5585 + t5590 - t5593 &
2726 - t5595 + t5597 - t5600 - t5602 + t5604 + t5607 + t5610
2727 t6375 = t6352 + t6367 + t6370 + t6373
2728 t6380 = -t5317 - t5320 + t5323 - t5326 - t5329 - 0.3333333336e0_dp*t83 &
2729 *t597*t2061 - 0.3333333336e0_dp*t83*t84*t6375 + t5333 - t5335 &
2730 - t5338 - t5342 - 0.1666666668e0_dp*t5347 - t5351
2731 t6389 = -t5354 - t5357 - 0.3333333336e0_dp*t83*t45*t2139*t561 &
2732 - t5360 - t6170 - t6173 - 0.3333333336e0_dp*t6175 - t6179 - 0.1666666668e0_dp &
2733 *t6181 - t6185 + t6189 - t6192 - 0.3333333336e0_dp*t6194
2734 t6400 = t2061*t561
2735 t6415 = -t5363 + t5367 - t5370 + 0.1111111112e0_dp*t5373 - 0.5555555557e-1_dp &
2736 *t5376 + 0.1666666667e0_dp*t5379 - t5383 - t5386 - t5389 + &
2737 0.1200000000e2_dp*t658*t2031*t673*t17 + 0.3333333334e0_dp*t170 &
2738 *t27*t6291*t172 - t5397
2739 t6428 = t5635 - t5638 + t5641 + 0.2250000000e1_dp*t5643 - t5647 - 0.1500000000e1_dp &
2740 *t151*t50*t6375 - t5650 + t5653 - t5657 - t5660 &
2741 + t5663 - t5666
2742 t6433 = t5670 - t5673 + t5676 - t5679 + t5682 + t5686 - t5689 + t5692 &
2743 + t5695 + 0.2250000000e1_dp*t400*t19*t2061*t561 + t5698 - &
2744 t5701
2745 t6442 = t5400 + 0.1666666667e0_dp*t5402 - t5406 + 0.1666666667e0_dp*t165 &
2746 *t56*t2131*t561 + 0.1666666667e0_dp*t165*t679*t2061 + &
2747 (2*t147*t149*(t6428 + t6433)) - t5409 - t5412 - t5415 + &
2748 t5418 + 0.1800000000e2_dp*t658*t575*t2074 + 0.1800000000e2_dp*t5421
2749 t6451 = -t5426 + t5429 - 0.2222222223e0_dp*t5432 + t5436 + 0.1620000000e3_dp &
2750 *t4995*t6267*t1974 + 0.1666666667e0_dp*t165*t2088*t649 &
2751 + t5619 + t5622 - t5625 - t5628 + t5631 + t5716
2752 t6461 = t5719 - t5722 - 0.8333333335e-1_dp*t5724 + 0.1200000000e2_dp* &
2753 t658*t6256*t2077 - 0.3240000000e3_dp*t4994*t6247*t4772*t2082 &
2754 + t5728 + t5731 - t5734 - t5738 + t5741 + 0.1666666667e0_dp*t5745 &
2755 - t5749
2756 t6479 = -t5752 + 0.1666666667e0_dp*t445*t2042*my_rho*t668 - t5756 &
2757 - 0.3600000000e2_dp*t2081*t575*t673*t237 + 0.1800000000e2_dp* &
2758 t658*t6263*t161 + t5760 + t5767 + t5770 - 0.7200000000e2_dp*t2081 &
2759 *t575*t161*t1447 + t5773 + t5776 + t5780
2760 t6490 = -t5783 - 0.3600000000e2_dp*t2081*t4764*t2082 - 0.2400000000e2_dp &
2761 *t2081*t6252*t2077 + t5786 + t5789 + t5792 - t5795 - 0.4444444445e0_dp &
2762 *t5797 - t6087 - 0.8333333335e-1_dp*t429*t166*t6400 &
2763 - t6090 + t6094
2764 t6499 = t6099 + 0.1666666667e0_dp*t165*t166*t6375 + t6102 + 0.1666666667e0_dp &
2765 *t165*t56*t6291*t140 + t6106 - t6109 + t6112 - t6116 &
2766 + t6119 - t6123 + t6126 - t6129
2767 t6509 = t4853*t65
2768 t6529 = 0.4999999999e0_dp*t5875 - 0.5000000001e0_dp*t5244*t2095 - 0.5000000001e0_dp &
2769 *t732*t6509 + t5880 + 0.1000000000e1_dp*t649*t471 &
2770 *t2099 - 0.1620000000e3_dp*t5247*t2992*t4733*t6249 - 0.5555555558e-1_dp &
2771 *t5885 + 0.8999999998e1_dp*t140*t2992*t4701*t59* &
2772 t62*t2027 - 0.5000000001e0_dp*t5888 - t5891 - 0.1800000000e2_dp*t2118 &
2773 *t6271
2774 t6539 = t5898 + t5902 - t5905 + 0.8999999998e1_dp*t5908 - t5913 + 0.2000000000e1_dp &
2775 *t2098*t2095*t561 - 0.5000000001e0_dp*t5918 - t5922 &
2776 + 0.3333333334e0_dp*t6283*t187*t177*t65 + t5925 - t5929
2777 t6554 = -t5932 - 0.5555555558e-1_dp*t5938 + 0.666666666e0_dp*t6283* &
2778 t722*t177*t65 - t5942 + 0.8999999998e1_dp*t2124*t59*t177* &
2779 t710 + 0.1000000001e1_dp*t5944 - 0.5000000001e0_dp*t2061*t177*t709 &
2780 + t5949 + t5952 + t5954 - t5958
2781 t6557 = t1447*t59
2782 t6569 = -t5960 - 0.5000000001e0_dp*t5237*t2095 + t5963 - 0.4500000000e1_dp &
2783 *t5256*t6557*t710 - 0.5555555558e-1_dp*t5964 - 0.1111111112e0_dp &
2784 *t5966 - t5971 - 0.1200000000e2_dp*t2118*t6253 - 0.5555555558e-1_dp &
2785 *t719*t2126 - t5973 + t5975 + 0.5999999999e1_dp*t2114*t6257
2786 t6583 = -t5977 - t5985 + t5994 - 0.5000000001e0_dp*t716*t6509 + t5996 &
2787 - t6000 + t6002 + 0.8999999998e1_dp*t6004 + 0.1000000000e1_dp*t2098 &
2788 *t4908*t237 - 0.1000000001e1_dp*t723*t6509 - 0.1800000000e2_dp &
2789 *t5228*t2117*t2028
2790 t6596 = t5247*t1141*t4733
2791 t6603 = -0.5555555558e-1_dp*t6006 - t6009 - t6017 - 0.5555555558e-1_dp &
2792 *t58*t6375*t71 + t6019 - 0.9000000007e1_dp*t5262*t6557*t710 &
2793 + 0.8999999998e1_dp*t708*t62*t6509 + 0.3333333334e0_dp*t6021 + &
2794 t6025 + 0.8099999996e2_dp*t6596*t6268 + 0.5399999998e2_dp*t6596* &
2795 t6260 + 0.8999999998e1_dp*t5229*t2104
2796 t6611 = t5801 - t5804 - t5807 + t5810 - t5813 + t5816 - t5819 - t5822 &
2797 - t5825 - t5828 - t5830 + t5833
2798 t6620 = t5835 + t5838 + t5841 - t5845 + t5848 - 0.1800000000e2_dp*t5850 &
2799 - t5854 + t5857 + t5861 - t5864 - 0.1800000000e2_dp*t473*t20 &
2800 *t2061*t561 + 0.8999999998e1_dp*t178*t62*t6375
2801 t6621 = t6611 + t6620
2802 t6630 = -0.3000000000e1_dp*t5256*t4904*t237 + 0.5999999999e1_dp*t5228 &
2803 *t2113*t2032 + t6621*t65 - t6031 - 0.4050000000e2_dp*t471 &
2804 *t187*t6557*t710 - t6033 - t6036 - t6040 + t6042 - 0.5000000001e0_dp &
2805 *t60*t2124*t709 - t6044
2806 t6640 = -t6047 - 0.5000000001e0_dp*t6049 - 0.5555555558e-1_dp*t192* &
2807 t68*t6621*t65 - 0.5000000001e0_dp*t6053 - t6056 - t6058 + 0.5850000000e2_dp &
2808 *t6060 + t6063 + 0.3333333334e0_dp*t6066 + t6074 - 0.1000000001e1_dp &
2809 *t6075 - t6078
2810 t6658 = 0.1800000000e2_dp*t658*t2035*t673 - 0.8333333335e-1_dp*t429 &
2811 *t2088*t593 + t6132 + 0.3333333334e0_dp*t55*t57*(t6529 + &
2812 t6539 + t6554 + t6569 + t6583 + t6603 + t6630 + t6640) - t6136 - 0.8333333335e-1_dp &
2813 *t6138 + 0.1800000000e2_dp*t6141 + 0.1080000000e3_dp* &
2814 t4995*t4743*t2077 + 0.1080000000e3_dp*t657*t1142*t4760*t2082 &
2815 + 0.1666666667e0_dp*t6144 + t6155 - t6158 + (2*t6160)
2816 t6665 = -0.3333333336e0_dp*t83*t45*t6339*t140 - t6198 - 0.3333333336e0_dp &
2817 *t83*t2050*t649 - t6201 + t6207 - t6210 - t6213 + t6216 &
2818 + t6219 - 0.1666666668e0_dp*t289*t2050*t593 - 0.1666666668e0_dp &
2819 *t289*t84*t6400 + t6222 - 0.2222222224e0_dp*t144*t46*(t6415 &
2820 + t6442 + t6451 + t6461 + t6479 + t6490 + t6499 + t6658)
2821 t6669 = -t4704 - t4707 - t4732 + t4793 - t4796 - t4800 - t4804 - t4861 &
2822 - 0.6666666672e0_dp*t4864 - t4869 - t4812 - t4857 - t4789 - t4808 &
2823 - 0.6666666672e0_dp*t217*t46*t2046*t561 - 0.4444444448e0_dp* &
2824 t43*t46*t6339 + t8*(t6344 + t6380 + t6389 + t6665)
2825 e_ndrho_ndrho_ndrho(ii) = e_ndrho_ndrho_ndrho(ii) + t6669*sx
2826 END IF
2827
2828 END IF
2829 END DO
2830!$OMP END DO
2831 END SUBROUTINE xb88_lr_adiabatic_lda_calc
2832
2833! **************************************************************************************************
2834!> \brief evaluates the becke 88 longrange exchange functional for lsd
2835!> \param rho_set ...
2836!> \param deriv_set ...
2837!> \param grad_deriv ...
2838!> \param xb88_lr_ad_params ...
2839!> \par History
2840!> 01.2008 created [mguidon]
2841!> \author Manuel Guidon
2842! **************************************************************************************************
2843 SUBROUTINE xb88_lr_adiabatic_lsd_eval(rho_set, deriv_set, grad_deriv, xb88_lr_ad_params)
2844 TYPE(xc_rho_set_type), INTENT(IN) :: rho_set
2845 TYPE(xc_derivative_set_type), INTENT(IN) :: deriv_set
2846 INTEGER, INTENT(in) :: grad_deriv
2847 TYPE(section_vals_type), POINTER :: xb88_lr_ad_params
2848
2849 CHARACTER(len=*), PARAMETER :: routinen = 'xb88_lr_adiabatic_lsd_eval'
2850
2851 INTEGER :: handle, i, ispin, npoints
2852 INTEGER, DIMENSION(2, 3) :: bo
2853 REAL(kind=dp) :: epsilon_rho, lambda, omega, sx
2854 REAL(kind=dp), CONTIGUOUS, DIMENSION(:, :, :), &
2855 POINTER :: dummy, e_0
2856 TYPE(cp_3d_r_cp_type), DIMENSION(2) :: e_ndrho, e_ndrho_ndrho, e_ndrho_ndrho_ndrho, &
2857 e_ndrho_ndrho_rho, e_ndrho_rho, e_ndrho_rho_rho, e_rho, e_rho_rho, e_rho_rho_rho, &
2858 norm_drho, rho
2859 TYPE(xc_derivative_type), POINTER :: deriv
2860
2861 CALL timeset(routinen, handle)
2862
2863 CALL cite_reference(becke1988)
2864
2865 NULLIFY (deriv)
2866 DO i = 1, 2
2867 NULLIFY (norm_drho(i)%array, rho(i)%array)
2868 END DO
2869
2870 CALL section_vals_val_get(xb88_lr_ad_params, "SCALE_X", r_val=sx)
2871 CALL section_vals_val_get(xb88_lr_ad_params, "OMEGA", r_val=omega)
2872 CALL section_vals_val_get(xb88_lr_ad_params, "LAMBDA", r_val=lambda)
2873
2874 CALL xc_rho_set_get(rho_set, &
2875 rhoa=rho(1)%array, &
2876 rhob=rho(2)%array, norm_drhoa=norm_drho(1)%array, &
2877 norm_drhob=norm_drho(2)%array, rho_cutoff=epsilon_rho, &
2878 local_bounds=bo)
2879 npoints = (bo(2, 1) - bo(1, 1) + 1)*(bo(2, 2) - bo(1, 2) + 1)*(bo(2, 3) - bo(1, 3) + 1)
2880
2881 dummy => rho(1)%array
2882
2883 e_0 => dummy
2884 DO i = 1, 2
2885 e_rho(i)%array => dummy
2886 e_ndrho(i)%array => dummy
2887 e_rho_rho(i)%array => dummy
2888 e_ndrho_rho(i)%array => dummy
2889 e_ndrho_ndrho(i)%array => dummy
2890 e_rho_rho_rho(i)%array => dummy
2891 e_ndrho_rho_rho(i)%array => dummy
2892 e_ndrho_ndrho_rho(i)%array => dummy
2893 e_ndrho_ndrho_ndrho(i)%array => dummy
2894 END DO
2895
2896 deriv => xc_dset_get_derivative(deriv_set, [INTEGER::], &
2897 allocate_deriv=.true.)
2898 CALL xc_derivative_get(deriv, deriv_data=e_0)
2899 IF (grad_deriv >= 1) THEN
2900 deriv => xc_dset_get_derivative(deriv_set, [deriv_rhoa], &
2901 allocate_deriv=.true.)
2902 CALL xc_derivative_get(deriv, deriv_data=e_rho(1)%array)
2903 deriv => xc_dset_get_derivative(deriv_set, [deriv_rhob], &
2904 allocate_deriv=.true.)
2905 CALL xc_derivative_get(deriv, deriv_data=e_rho(2)%array)
2906 deriv => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa], &
2907 allocate_deriv=.true.)
2908 CALL xc_derivative_get(deriv, deriv_data=e_ndrho(1)%array)
2909 deriv => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob], &
2910 allocate_deriv=.true.)
2911 CALL xc_derivative_get(deriv, deriv_data=e_ndrho(2)%array)
2912 END IF
2913 IF (grad_deriv >= 2) THEN
2914 deriv => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_rhoa], &
2915 allocate_deriv=.true.)
2916 CALL xc_derivative_get(deriv, deriv_data=e_rho_rho(1)%array)
2917 deriv => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_rhob], &
2918 allocate_deriv=.true.)
2919 CALL xc_derivative_get(deriv, deriv_data=e_rho_rho(2)%array)
2920 deriv => xc_dset_get_derivative(deriv_set, [deriv_norm_drhoa, deriv_rhoa], &
2921 allocate_deriv=.true.)
2922 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_rho(1)%array)
2923 deriv => xc_dset_get_derivative(deriv_set, [deriv_norm_drhob, deriv_rhob], &
2924 allocate_deriv=.true.)
2925 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_rho(2)%array)
2926 deriv => xc_dset_get_derivative(deriv_set, &
2927 [deriv_norm_drhoa, deriv_norm_drhoa], allocate_deriv=.true.)
2928 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho(1)%array)
2929 deriv => xc_dset_get_derivative(deriv_set, &
2930 [deriv_norm_drhob, deriv_norm_drhob], allocate_deriv=.true.)
2931 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho(2)%array)
2932 END IF
2933 IF (grad_deriv >= 3) THEN
2934 deriv => xc_dset_get_derivative(deriv_set, [deriv_rhoa, deriv_rhoa, deriv_rhoa], &
2935 allocate_deriv=.true.)
2936 CALL xc_derivative_get(deriv, deriv_data=e_rho_rho_rho(1)%array)
2937 deriv => xc_dset_get_derivative(deriv_set, [deriv_rhob, deriv_rhob, deriv_rhob], &
2938 allocate_deriv=.true.)
2939 CALL xc_derivative_get(deriv, deriv_data=e_rho_rho_rho(2)%array)
2940 deriv => xc_dset_get_derivative(deriv_set, &
2941 [deriv_norm_drhoa, deriv_rhoa, deriv_rhoa], allocate_deriv=.true.)
2942 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_rho_rho(1)%array)
2943 deriv => xc_dset_get_derivative(deriv_set, &
2944 [deriv_norm_drhob, deriv_rhob, deriv_rhob], allocate_deriv=.true.)
2945 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_rho_rho(2)%array)
2946 deriv => xc_dset_get_derivative(deriv_set, &
2947 [deriv_norm_drhoa, deriv_norm_drhoa, deriv_rhoa], allocate_deriv=.true.)
2948 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho_rho(1)%array)
2949 deriv => xc_dset_get_derivative(deriv_set, &
2950 [deriv_norm_drhob, deriv_norm_drhob, deriv_rhob], allocate_deriv=.true.)
2951 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho_rho(2)%array)
2952 deriv => xc_dset_get_derivative(deriv_set, &
2953 [deriv_norm_drhoa, deriv_norm_drhoa, deriv_norm_drhoa], allocate_deriv=.true.)
2954 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho_ndrho(1)%array)
2955 deriv => xc_dset_get_derivative(deriv_set, &
2956 [deriv_norm_drhob, deriv_norm_drhob, deriv_norm_drhob], allocate_deriv=.true.)
2957 CALL xc_derivative_get(deriv, deriv_data=e_ndrho_ndrho_ndrho(2)%array)
2958 END IF
2959 IF (grad_deriv > 3) THEN
2960 cpabort("derivatives bigger than 3 not implemented")
2961 END IF
2962
2963 DO ispin = 1, 2
2964
2965!$OMP PARALLEL DEFAULT(NONE) &
2966!$OMP SHARED(rho, ispin, norm_drho, e_0, e_rho, e_ndrho) &
2967!$OMP SHARED(e_rho_rho, e_ndrho_rho, e_ndrho_ndrho) &
2968!$OMP SHARED(e_rho_rho_rho, e_ndrho_rho_rho) &
2969!$OMP SHARED(e_ndrho_ndrho_rho, e_ndrho_ndrho_ndrho) &
2970!$OMP SHARED(grad_deriv, npoints, epsilon_rho, sx, omega) &
2971!$OMP SHARED(lambda)
2972
2973 CALL xb88_lr_adiabatic_lsd_calc( &
2974 rho_spin=rho(ispin)%array, &
2975 norm_drho_spin=norm_drho(ispin)%array, &
2976 e_0=e_0, &
2977 e_rho_spin=e_rho(ispin)%array, &
2978 e_ndrho_spin=e_ndrho(ispin)%array, &
2979 e_rho_rho_spin=e_rho_rho(ispin)%array, &
2980 e_ndrho_rho_spin=e_ndrho_rho(ispin)%array, &
2981 e_ndrho_ndrho_spin=e_ndrho_ndrho(ispin)%array, &
2982 e_rho_rho_rho_spin=e_rho_rho_rho(ispin)%array, &
2983 e_ndrho_rho_rho_spin=e_ndrho_rho_rho(ispin)%array, &
2984 e_ndrho_ndrho_rho_spin=e_ndrho_ndrho_rho(ispin)%array, &
2985 e_ndrho_ndrho_ndrho_spin=e_ndrho_ndrho_ndrho(ispin)%array, &
2986 grad_deriv=grad_deriv, npoints=npoints, &
2987 epsilon_rho=epsilon_rho, &
2988 sx=sx, omega=omega, lambda=lambda)
2989
2990!$OMP END PARALLEL
2991
2992 END DO
2993
2994 CALL timestop(handle)
2995
2996 END SUBROUTINE xb88_lr_adiabatic_lsd_eval
2997
2998! **************************************************************************************************
2999!> \brief low level calculation of the becke 88 exchange functional for lsd
3000!> \param rho_spin alpha or beta spin density
3001!> \param norm_drho_spin || grad rho_spin ||
3002!> \param e_0 adds to it the local value of the functional
3003!> \param e_rho_spin e_*_spin: derivative of the functional wrt. to the variables
3004!> named where the * is. Everything wrt. to the spin of the arguments.
3005!> \param e_ndrho_spin ...
3006!> \param e_rho_rho_spin ...
3007!> \param e_ndrho_rho_spin ...
3008!> \param e_ndrho_ndrho_spin ...
3009!> \param e_rho_rho_rho_spin ...
3010!> \param e_ndrho_rho_rho_spin ...
3011!> \param e_ndrho_ndrho_rho_spin ...
3012!> \param e_ndrho_ndrho_ndrho_spin ...
3013!> \param grad_deriv ...
3014!> \param npoints ...
3015!> \param epsilon_rho ...
3016!> \param sx scaling-parameter for exchange
3017!> \param omega ...
3018!> \param lambda ...
3019!> \par History
3020!> 01.2008 created [mguidon]
3021!> \author Manuel Guidon
3022! **************************************************************************************************
3023 SUBROUTINE xb88_lr_adiabatic_lsd_calc(rho_spin, norm_drho_spin, e_0, &
3024 e_rho_spin, e_ndrho_spin, e_rho_rho_spin, e_ndrho_rho_spin, &
3025 e_ndrho_ndrho_spin, e_rho_rho_rho_spin, e_ndrho_rho_rho_spin, &
3026 e_ndrho_ndrho_rho_spin, &
3027 e_ndrho_ndrho_ndrho_spin, grad_deriv, npoints, epsilon_rho, sx, &
3028 omega, lambda)
3029 REAL(kind=dp), DIMENSION(*), INTENT(in) :: rho_spin, norm_drho_spin
3030 REAL(kind=dp), DIMENSION(*), INTENT(inout) :: e_0, e_rho_spin, e_ndrho_spin, e_rho_rho_spin, &
3031 e_ndrho_rho_spin, e_ndrho_ndrho_spin, e_rho_rho_rho_spin, e_ndrho_rho_rho_spin, &
3032 e_ndrho_ndrho_rho_spin, e_ndrho_ndrho_ndrho_spin
3033 INTEGER, INTENT(in) :: grad_deriv, npoints
3034 REAL(kind=dp), INTENT(in) :: epsilon_rho, sx, omega, lambda
3035
3036 INTEGER :: ii
3037 REAL(kind=dp) :: cx, epsilon_rho43, my_epsilon_rho, ndrho, rho, t1, t10, t1000, t1002, &
3038 t1004, t1008, t1012, t1014, t1019, t102, t1021, t1024, t1026, t103, t1030, t1033, t1034, &
3039 t1036, t104, t1040, t1044, t1046, t105, t1050, t1054, t1055, t1056, t1058, t1059, t106, &
3040 t1060, t1063, t1064, t1067, t1068, t107, t1071, t1076, t1079, t108, t1082, t1085, t1089, &
3041 t1093, t1097, t1099, t11, t1100, t1101, t1106, t1109, t1111, t1119, t112, t1122, t1125, &
3042 t1126, t1129, t1134, t1137, t114, t1140, t1141, t1142, t1143, t115, t1150, t1157, t116, &
3043 t1161, t1168, t1172, t1176, t1189, t119, t1191, t1192, t1193, t1194
3044 REAL(kind=dp) :: t12, t1200, t1201, t1206, t1207, t1210, t1213, t1216, t122, t1221, t1224, &
3045 t123, t1235, t1238, t1239, t1246, t1247, t1254, t126, t1264, t1268, t1275, t1283, t1284, &
3046 t1288, t1292, t13, t130, t1300, t1301, t1302, t1309, t131, t1316, t132, t1320, t133, &
3047 t1333, t1340, t1347, t1348, t136, t1360, t1367, t1368, t137, t1372, t1373, t1377, t1387, &
3048 t1388, t1392, t1396, t1397, t14, t140, t1401, t1406, t1408, t1409, t141, t1410, t1411, &
3049 t1413, t1417, t1420, t1425, t1426, t1429, t1436, t1438, t1439, t144, t1440, t1443, t1444, &
3050 t1447, t145, t1451, t1455, t1459, t146, t1466, t147, t1470, t1471
3051 REAL(kind=dp) :: t1476, t1479, t1482, t1483, t1485, t1489, t149, t1492, t1493, t1496, t1498, &
3052 t15, t150, t1500, t1502, t1504, t1505, t1506, t1507, t1509, t151, t1510, t1512, t1513, &
3053 t1515, t1517, t1518, t1519, t1523, t1525, t1528, t1530, t1531, t1535, t1536, t1541, &
3054 t1543, t1545, t1546, t1547, t1549, t155, t1552, t1553, t1556, t1557, t156, t1560, t1563, &
3055 t1564, t1565, t1568, t1570, t1571, t1574, t1575, t1577, t1579, t1581, t1582, t1584, &
3056 t1586, t1588, t1589, t1591, t1592, t1594, t1596, t1597, t1598, t1599, t16, t160, t1601, &
3057 t1602, t1603, t1605, t1607, t1608, t161, t1610, t1611, t1613, t1615
3058 REAL(kind=dp) :: t1616, t1617, t1618, t1620, t1621, t1622, t1624, t1625, t1626, t1628, &
3059 t1630, t1631, t1632, t1634, t1636, t1638, t164, t1640, t1642, t1644, t1645, t1647, t1649, &
3060 t165, t1652, t1654, t1656, t1658, t166, t1660, t1662, t1664, t1667, t1669, t1671, t1675, &
3061 t1677, t1679, t1680, t1681, t1684, t1685, t1688, t1689, t1693, t1694, t1696, t1699, t17, &
3062 t170, t1700, t1702, t1703, t1705, t1706, t1708, t1709, t171, t1712, t1714, t1715, t1717, &
3063 t1718, t1719, t172, t1720, t1722, t1724, t1726, t1728, t1730, t1731, t1735, t1737, t1740, &
3064 t1741, t1743, t1745, t1748, t1752, t1754, t1755, t1757, t1758
3065 REAL(kind=dp) :: t176, t1760, t1762, t1763, t1765, t1766, t1768, t1769, t177, t1773, t1774, &
3066 t1776, t1777, t1779, t178, t1782, t1784, t1785, t1787, t1789, t1790, t1794, t1795, t1797, &
3067 t18, t1800, t1801, t1804, t1807, t1810, t1811, t1814, t1817, t182, t1821, t1822, t1824, &
3068 t1825, t1828, t1829, t183, t1832, t1835, t1836, t1837, t1838, t1842, t1843, t1849, t1852, &
3069 t1854, t1858, t1861, t1864, t1865, t1868, t187, t1871, t1874, t1875, t1878, t1881, t1884, &
3070 t1885, t1886, t189, t1891, t1892, t1895, t1898, t19, t1901, t1902, t1905, t1908, t1912, &
3071 t1914, t1917, t192, t1920, t1923, t1924, t1925, t1928
3072 REAL(kind=dp) :: t1932, t1938, t1939, t194, t1940, t1943, t1946, t195, t1952, t1954, t1958, &
3073 t196, t1961, t1962, t1965, t1966, t1969, t1971, t1972, t1973, t1974, t1975, t1977, t1980, &
3074 t1981, t1984, t1987, t1988, t199, t1991, t1994, t1997, t20, t200, t2000, t2001, t2002, &
3075 t2006, t2009, t2013, t2014, t2018, t2022, t2027, t2028, t203, t2031, t2032, t2035, t2042, &
3076 t2046, t2050, t2054, t2057, t2058, t2061, t207, t2073, t2074, t2077, t2081, t2082, t2086, &
3077 t2088, t2095, t2098, t2099, t2104, t2107, t2113, t2114, t2117, t2118, t2124, t2126, &
3078 t2130, t2131, t2138, t2139, t214, t2143, t2147, t2160, t2169
3079 REAL(kind=dp) :: t217, t218, t2182, t2183, t2187, t219, t2190, t2193, t2196, t2197, t22, &
3080 t220, t2200, t2201, t2204, t2205, t221, t2220, t2226, t2227, t2230, t224, t225, t2257, &
3081 t2261, t2264, t2268, t2272, t2274, t2276, t2279, t2280, t2281, t2282, t2285, t2287, &
3082 t2292, t2295, t2296, t2299, t23, t230, t2300, t2304, t2307, t2308, t2311, t2312, t2319, &
3083 t2326, t233, t234, t2351, t2368, t237, t2378, t2382, t2392, t24, t2404, t2418, t2424, &
3084 t2437, t2439, t245, t2451, t2455, t2468, t2480, t249, t2492, t25, t250, t2537, t2552, &
3085 t2565, t2569, t2576, t2585, t26, t260, t2611, t262, t2621, t2622, t2631
3086 REAL(kind=dp) :: t2635, t2636, t264, t2645, t2655, t266, t267, t268, t27, t2707, t271, &
3087 t2720, t2724, t2732, t274, t275, t2759, t2763, t2779, t278, t2783, t2808, t2816, t282, &
3088 t2821, t2823, t283, t2833, t2843, t2853, t2869, t2873, t2877, t2885, t289, t290, t2935, &
3089 t2937, t294, t295, t298, t299, t2992, t2994, t2998, t302, t3026, t3030, t306, t3069, &
3090 t307, t3070, t308, t3085, t309, t3093, t3097, t3098, t31, t311, t3129, t313, t3141, t316, &
3091 t317, t318, t3181, t321, t322, t3232, t3244, t3248, t326, t3262, t3264, t3268, t327, &
3092 t3278, t328, t3288, t329, t3291, t3305, t3306, t3314, t332, t3329, t3339
3093 REAL(kind=dp) :: t3344, t3347, t3352, t3353, t3356, t3357, t336, t3362, t3363, t3366, t3378, &
3094 t3379, t3382, t339, t341, t342, t343, t3449, t3453, t347, t3472, t3491, t3494, t3497, &
3095 t35, t350, t3501, t3505, t3507, t3512, t3513, t3514, t352, t3525, t3533, t3543, t3546, &
3096 t3547, t3552, t3553, t356, t3561, t3569, t357, t3575, t3576, t3580, t3581, t36, t360, &
3097 t3608, t3618, t362, t365, t366, t3668, t367, t3673, t3674, t3677, t3679, t368, t3682, &
3098 t37, t371, t3711, t372, t3726, t375, t3750, t376, t3763, t379, t3794, t3796, t380, t3826, &
3099 t3827, t383, t384, t3842, t3849, t3853, t3861, t3865, t3869, t387
3100 REAL(kind=dp) :: t3871, t3875, t3892, t3918, t392, t3925, t393, t3933, t3939, t394, t3940, &
3101 t3965, t3969, t3975, t3979, t398, t3985, t399, t4, t40, t400, t401, t4010, t4018, t4025, &
3102 t4032, t405, t406, t4070, t4079, t41, t4101, t4108, t413, t4140, t4156, t417, t42, t4201, &
3103 t4214, t4230, t424, t425, t4255, t4256, t4261, t4272, t428, t429, t4292, t43, t4317, &
3104 t433, t4345, t4352, t437, t4378, t4392, t44, t4428, t444, t445, t446, t4466, t4498, t45, &
3105 t450, t4505, t451, t4512, t4545, t455, t4553, t4575, t4585, t46, t4607, t462, t4627, &
3106 t4657, t466, t4696, t47, t470, t4700, t4701, t4704, t4707, t4708
3107 REAL(kind=dp) :: t471, t4713, t4714, t4717, t472, t4721, t4725, t4726, t4729, t473, t4732, &
3108 t4733, t4734, t4736, t4738, t4739, t474, t4743, t4744, t4748, t4760, t4764, t4768, t4769, &
3109 t4770, t4771, t4772, t4776, t478, t4782, t4786, t4789, t479, t4790, t4793, t4796, t4797, &
3110 t48, t4800, t4801, t4804, t4808, t4812, t4817, t4820, t4829, t4830, t4833, t4834, t4837, &
3111 t4838, t4849, t4850, t4853, t4857, t4861, t4864, t4869, t4872, t4874, t4878, t4881, &
3112 t4884, t4887, t4889, t489, t4893, t4895, t4897, t4898, t49, t4901, t4904, t4905, t4907, &
3113 t4908, t4909, t4911, t4915, t4917, t4918, t4920, t4922, t4925
3114 REAL(kind=dp) :: t4929, t4932, t4935, t4940, t4941, t4943, t4945, t4946, t4951, t4952, &
3115 t4955, t4958, t496, t498, t4994, t4995, t50, t500, t5001, t5002, t5005, t5008, t5009, &
3116 t5011, t5013, t5016, t5019, t5022, t5025, t5028, t5029, t503, t5032, t5035, t5036, t5040, &
3117 t5043, t5044, t5047, t5050, t5051, t5060, t5065, t5069, t5079, t508, t5083, t5087, t5106, &
3118 t5108, t511, t5115, t5118, t512, t5122, t5123, t5126, t5139, t5143, t5147, t515, t516, &
3119 t5163, t517, t5170, t5174, t520, t5226, t5228, t5229, t5237, t5244, t5247, t5251, t5256, &
3120 t526, t5262, t527, t5270, t5271, t5276, t5280, t5281, t5284, t5291
3121 REAL(kind=dp) :: t5294, t5295, t5298, t53, t530, t5301, t5303, t5305, t5308, t531, t5311, &
3122 t5314, t5317, t5320, t5323, t5326, t5329, t5330, t5333, t5335, t5338, t5339, t534, t5342, &
3123 t5343, t5345, t5347, t5351, t5354, t5357, t5360, t5363, t5367, t537, t5370, t5371, t5373, &
3124 t5376, t5379, t5383, t5386, t5389, t5397, t5400, t5402, t5406, t5409, t541, t5412, t5415, &
3125 t5418, t5421, t5423, t5426, t5429, t5430, t5432, t5436, t5440, t5443, t5446, t5449, &
3126 t5451, t5454, t5456, t5459, t5460, t5462, t5466, t5468, t5469, t5472, t5474, t5478, &
3127 t5480, t5482, t5484, t5487, t5489, t5492, t5494, t5496, t5499, t55
3128 REAL(kind=dp) :: t550, t5503, t5507, t5509, t551, t5511, t5516, t5523, t5525, t5528, t5531, &
3129 t5533, t5535, t5537, t5540, t5541, t5545, t5548, t5551, t5553, t5558, t5560, t5562, &
3130 t5564, t5565, t5568, t557, t5572, t5574, t5575, t5579, t558, t5581, t5585, t5590, t5593, &
3131 t5595, t5597, t56, t5600, t5602, t5604, t5607, t561, t5610, t5611, t5613, t5619, t5622, &
3132 t5625, t5628, t5631, t5632, t5635, t5638, t5641, t5643, t5647, t5650, t5653, t5657, t566, &
3133 t5660, t5663, t5666, t5667, t567, t5670, t5671, t5673, t5676, t5679, t5682, t5686, t5689, &
3134 t569, t5692, t5695, t5696, t5698, t5699, t57, t5701, t5705
3135 REAL(kind=dp) :: t5713, t5716, t5719, t5722, t5724, t5728, t5731, t5734, t5738, t5741, &
3136 t5742, t5745, t5749, t575, t5752, t5756, t5760, t5767, t5770, t5773, t5776, t5780, t5783, &
3137 t5786, t5789, t579, t5792, t5795, t5797, t58, t5801, t5804, t5807, t5810, t5813, t5816, &
3138 t5819, t5822, t5825, t5828, t5830, t5831, t5833, t5835, t5838, t5841, t5845, t5848, t585, &
3139 t5850, t5854, t5857, t5861, t5864, t5868, t5869, t5875, t5880, t5881, t5885, t5888, t589, &
3140 t5891, t5898, t59, t590, t5902, t5905, t5908, t5911, t5913, t5918, t5922, t5925, t5926, &
3141 t5929, t593, t5932, t5938, t5940, t5942, t5944, t5949, t5952
3142 REAL(kind=dp) :: t5954, t5956, t5958, t5960, t5963, t5964, t5966, t597, t5971, t5973, t5975, &
3143 t5977, t5978, t598, t5985, t5990, t5994, t5996, t6, t60, t6000, t6002, t6004, t6006, &
3144 t6009, t6017, t6019, t6021, t6023, t6025, t6029, t6031, t6033, t6036, t6040, t6042, &
3145 t6044, t6047, t6049, t605, t6052, t6053, t6056, t6058, t6060, t6063, t6066, t6074, t6075, &
3146 t6078, t6079, t608, t6087, t609, t6090, t6091, t6094, t6099, t61, t6102, t6106, t6109, &
3147 t6112, t6116, t6119, t6123, t6126, t6129, t6132, t6136, t6138, t614, t6141, t6144, t615, &
3148 t6155, t6158, t6160, t6162, t6170, t6173, t6175, t6179, t6181, t6185
3149 REAL(kind=dp) :: t6186, t6189, t6192, t6194, t6198, t62, t6201, t6207, t6210, t6213, t6216, &
3150 t6219, t6222, t6223, t6227, t624, t6247, t6249, t6252, t6253, t6256, t6257, t6260, t6263, &
3151 t6267, t6268, t627, t6271, t628, t6281, t6283, t6290, t6291, t63, t6308, t6338, t6339, &
3152 t6344, t635, t6352, t6363, t6367, t637, t6370, t6373, t6375, t6380, t6389, t640, t6400, &
3153 t6415, t6428, t6433, t6442, t645, t6451, t646, t6461, t6479, t649, t6490, t6499, t65, &
3154 t650, t6509, t6529, t653, t6539, t6554, t6557, t6569, t657, t658, t6583, t6596, t66, &
3155 t6603, t6611, t6620, t6621, t6630, t6640, t6658, t6665, t6669, t668
3156 REAL(kind=dp) :: t67, t672, t673, t679, t68, t689, t69, t7, t70, t705, t707, t708, t709, &
3157 t71, t710, t713, t716, t719, t722, t723, t728, t729, t732, t735, t739, t74, t747, t753, &
3158 t754, t764, t765, t766, t769, t772, t773, t776, t777, t78, t782, t785, t786, t787, t79, &
3159 t790, t792, t795, t796, t797, t8, t800, t801, t804, t815, t822, t826, t827, t83, t833, &
3160 t84, t85, t851, t852, t855, t857, t859, t86, t862, t863, t864, t865, t866, t867, t87, &
3161 t874, t877, t878, t88, t881, t882, t886, t889, t893, t894, t897, t9, t905, t906, t907, &
3162 t914, t918, t92, t922, t923, t926, t929, t93, t930, t94, t940, t941
3163 REAL(kind=dp) :: t942, t944, t946, t949, t95, t950, t953, t954, t955, t958, t959, t962, &
3164 t963, t966, t969, t97, t972, t973, t974, t975, t976, t979, t98, t980, t983, t984, t987, &
3165 t99, t991, t995, t997, xx
3166
3167 my_epsilon_rho = 0.5_dp*epsilon_rho
3168 epsilon_rho43 = my_epsilon_rho**(4.0_dp/3.0_dp)
3169 cx = 1.5_dp*(3.0_dp/4.0_dp/pi)**(1.0_dp/3.0_dp)
3170
3171!$OMP DO
3172 DO ii = 1, npoints
3173 rho = rho_spin(ii)
3174 ndrho = norm_drho_spin(ii)
3175 IF (rho > my_epsilon_rho) THEN
3176 t1 = rho**(0.1e1_dp/0.3e1_dp)
3177 xx = ndrho*max(1.0_dp/t1/rho, epsilon_rho43)
3178 t4 = lambda*rho
3179 t6 = ndrho**2
3180 t7 = beta*t6
3181 t8 = lambda**2
3182 t9 = t8**2
3183 t10 = t9**2
3184 t11 = 0.1e1_dp/t10
3185 t12 = rho**2
3186 t13 = t9*t8
3187 t14 = 0.1e1_dp/t13
3188 t15 = t12*t14
3189 t16 = t8*lambda
3190 t17 = 0.1e1_dp/t16
3191 t18 = rho*t17
3192 t19 = t18**(0.1e1_dp/0.3e1_dp)
3193 t20 = t19**2
3194 t22 = 0.1e1_dp/t20/t15
3195 t23 = t11*t22
3196 t24 = beta*ndrho
3197 t25 = 0.1e1_dp/t9
3198 t26 = t19*t18
3199 t27 = 0.1e1_dp/t26
3200 t31 = log(ndrho*t25*t27 + sqrt((ndrho*t25*t27)**0.2e1_dp + &
3201 0.1e1_dp))
3202 t35 = 0.10e1_dp + 0.60e1_dp*t24*t25*t27*t31
3203 t36 = 0.1e1_dp/t35
3204 t37 = t23*t36
3205 t40 = 0.20e1_dp*cx + 0.20e1_dp*t7*t37
3206 t41 = sqrt(t40)
3207 t42 = t41*t40
3208 t43 = t4*t42
3209 t44 = rootpi
3210 t45 = 0.1e1_dp/t44
3211 t46 = omega*t45
3212 t47 = 0.1e1_dp/omega
3213 t48 = 0.1e1_dp/t41
3214 t49 = t47*t48
3215 t50 = t44*t19
3216 t53 = erf(0.3000000000e1_dp*t49*t50)
3217 t55 = omega*t41
3218 t56 = 0.1e1_dp/t19
3219 t57 = t45*t56
3220 t58 = omega**2
3221 t59 = 0.1e1_dp/t58
3222 t60 = 0.1e1_dp/t40
3223 t61 = t59*t60
3224 t62 = pi*t20
3225 t63 = t61*t62
3226 t65 = exp(-0.8999999998e1_dp*t63)
3227 t66 = t58*t40
3228 t67 = 0.1e1_dp/pi
3229 t68 = 0.1e1_dp/t20
3230 t69 = t67*t68
3231 t70 = t65 - 0.10e1_dp
3232 t71 = t69*t70
3233 t74 = t65 - 0.15e1_dp - 0.5555555558e-1_dp*t66*t71
3234 t78 = t44*t53 + 0.3333333334e0_dp*t55*t57*t74
3235 t79 = t46*t78
3236 t83 = rho*t41*omega
3237 t84 = t45*t78
3238 t85 = t10*lambda
3239 t86 = 0.1e1_dp/t85
3240 t87 = t86*t22
3241 t88 = t87*t36
3242 t92 = 0.1e1_dp/t10/t9
3243 t93 = t7*t92
3244 t94 = t12*rho
3245 t95 = t94*t86
3246 t97 = 0.1e1_dp/t20/t95
3247 t98 = t97*t36
3248 t99 = t98*rho
3249 t102 = t7*t11
3250 t103 = t35**2
3251 t104 = 0.1e1_dp/t103
3252 t105 = t22*t104
3253 t106 = t9*lambda
3254 t107 = 0.1e1_dp/t106
3255 t108 = t107*t27
3256 t112 = t24*t11
3257 t114 = 0.1e1_dp/t19/t15
3258 t115 = t114*t31
3259 t116 = t115*rho
3260 t119 = t24*t25
3261 t122 = ndrho*t11
3262 t123 = t114*rho
3263 t126 = -4*ndrho*t107*t27 + 4*t122*t123
3264 t130 = 1 + t6*t11*t22
3265 t131 = sqrt(t130)
3266 t132 = 0.1e1_dp/t131
3267 t133 = t27*t126*t132
3268 t136 = -0.240e2_dp*t24*t108*t31 + 0.240e2_dp*t112*t116 + 0.60e1_dp &
3269 *t119*t133
3270 t137 = t105*t136
3271 t140 = -0.160e2_dp*t7*t88 + 0.160e2_dp*t93*t99 - 0.20e1_dp*t102* &
3272 t137
3273 t141 = t84*t140
3274 t144 = rho*t42
3275 t145 = sqrt(0.3141592654e1_dp)
3276 t146 = 0.1e1_dp/t145
3277 t147 = t44*t146
3278 t149 = exp(-0.9000000000e1_dp*t63)
3279 t150 = 0.1e1_dp/t42
3280 t151 = t47*t150
3281 t155 = t49*t44
3282 t156 = t68*rho
3283 t160 = -0.1500000000e1_dp*t151*t50*t140 - 0.3000000000e1_dp*t155 &
3284 *t156*t25
3285 t161 = t149*t160
3286 t164 = omega*t48
3287 t165 = t164*t45
3288 t166 = t56*t74
3289 t170 = t55*t45
3290 t171 = t27*t74
3291 t172 = rho*t25
3292 t176 = t40**2
3293 t177 = 0.1e1_dp/t176
3294 t178 = t59*t177
3295 t182 = t61*pi
3296 t183 = t56*rho
3297 t187 = 0.8999999998e1_dp*t178*t62*t140 + 0.1800000000e2_dp*t182* &
3298 t183*t25
3299 t189 = t58*t140
3300 t192 = t66*t67
3301 t194 = 0.1e1_dp/t20/t18
3302 t195 = t194*t70
3303 t196 = t195*t172
3304 t199 = t68*t187
3305 t200 = t199*t65
3306 t203 = t187*t65 - 0.5555555558e-1_dp*t189*t71 - 0.1111111112e0_dp* &
3307 t192*t196 - 0.5555555558e-1_dp*t192*t200
3308 t207 = (2*t147*t161) + 0.1666666667e0_dp*t165*t166*t140 &
3309 + 0.3333333334e0_dp*t170*t171*t172 + 0.3333333334e0_dp*t55*t57 &
3310 *t203
3311 e_0(ii) = e_0(ii) + (-0.4444444448e0_dp*t43*t79 + t8*(-0.3333333336e0_dp*t83*t141 &
3312 - 0.2222222224e0_dp*t144*t46*t207))*sx
3313 IF (grad_deriv >= 1) THEN
3314 t214 = lambda*t42
3315 t217 = t4*t41
3316 t218 = t10*t16
3317 t219 = 0.1e1_dp/t218
3318 t220 = t219*t97
3319 t221 = t220*t36
3320 t224 = t9*t16
3321 t225 = 0.1e1_dp/t224
3322 t230 = t220*t132
3323 t233 = -0.8000000000e1_dp*t24*t225*t114*t31 - 0.8000000000e1_dp* &
3324 t7*t230
3325 t234 = t105*t233
3326 t237 = -0.5333333333e1_dp*t7*t221 - 0.20e1_dp*t102*t234
3327 t245 = t44*t68
3328 t249 = -0.1500000000e1_dp*t151*t50*t237 + 0.1000000000e1_dp*t49* &
3329 t245*t17
3330 t250 = t149*t249
3331 t260 = t178*t62*t237
3332 t262 = pi*t56
3333 t264 = t61*t262*t17
3334 t266 = 0.8999999998e1_dp*t260 - 0.5999999999e1_dp*t264
3335 t267 = t266*t65
3336 t268 = t58*t237
3337 t271 = t195*t17
3338 t274 = t68*t266
3339 t275 = t274*t65
3340 t278 = t267 - 0.5555555558e-1_dp*t268*t71 + 0.3703703705e-1_dp*t192 &
3341 *t271 - 0.5555555558e-1_dp*t192*t275
3342 t282 = (2*t147*t250) + 0.1666666667e0_dp*t165*t166*t237 &
3343 - 0.1111111111e0_dp*t170*t171*t17 + 0.3333333334e0_dp*t55*t57 &
3344 *t278
3345 t283 = t46*t282
3346 t289 = rho*t48*omega
3347 t290 = t140*t237
3348 t294 = t45*t282
3349 t295 = t294*t140
3350 t298 = t92*t97
3351 t299 = t298*t36
3352 t302 = t7*t86
3353 t306 = 0.1e1_dp/t10/t224
3354 t307 = t7*t306
3355 t308 = t12**2
3356 t309 = t308*t92
3357 t311 = 0.1e1_dp/t20/t309
3358 t313 = t311*t36*rho
3359 t316 = t97*t104
3360 t317 = rho*t233
3361 t318 = t316*t317
3362 t321 = t7*t219
3363 t322 = t316*t136
3364 t326 = 0.1e1_dp/t103/t35
3365 t327 = t22*t326
3366 t328 = t136*t233
3367 t329 = t327*t328
3368 t332 = t11*t114
3369 t336 = t298*t132
3370 t339 = t24*t219
3371 t341 = 0.1e1_dp/t19/t95
3372 t342 = t341*t31
3373 t343 = t342*rho
3374 t347 = t311*t132*rho
3375 t350 = t24*t225
3376 t352 = t114*t126*t132
3377 t356 = ndrho*t219
3378 t357 = t341*rho
3379 t360 = 0.28e2_dp/0.3e1_dp*t122*t114 - 0.28e2_dp/0.3e1_dp*t356*t357
3380 t362 = t27*t360*t132
3381 t365 = t6*ndrho
3382 t366 = beta*t365
3383 t367 = t308*rho
3384 t368 = 0.1e1_dp/t367
3385 t371 = 0.1e1_dp/t131/t130
3386 t372 = t368*t126*t371
3387 t375 = 0.5600000000e2_dp*t24*t332*t31 + 0.3200000000e2_dp*t7*t336 &
3388 - 0.5600000000e2_dp*t339*t343 - 0.3200000000e2_dp*t307*t347 - &
3389 0.8000000000e1_dp*t350*t352 + 0.60e1_dp*t119*t362 + 0.8000000000e1_dp &
3390 *t366*t372
3391 t376 = t105*t375
3392 t379 = 0.5866666667e2_dp*t7*t299 + 0.160e2_dp*t302*t234 - 0.5866666667e2_dp &
3393 *t307*t313 - 0.160e2_dp*t93*t318 + 0.5333333333e1_dp*t321 &
3394 *t322 + 0.40e1_dp*t102*t329 - 0.20e1_dp*t102*t376
3395 t380 = t84*t379
3396 t383 = t42*omega
3397 t384 = t45*t207
3398 t387 = t384*t237
3399 t392 = 0.9000000000e1_dp*t260 - 0.6000000000e1_dp*t264
3400 t393 = t392*t149
3401 t394 = t393*t160
3402 t398 = 0.1e1_dp/t41/t176
3403 t399 = t47*t398
3404 t400 = t399*t44
3405 t401 = t19*t140
3406 t405 = t151*t44
3407 t406 = t68*t140
3408 t413 = t25*t237
3409 t417 = t194*rho
3410 t424 = 0.2250000000e1_dp*t400*t401*t237 - 0.5000000000e0_dp*t405 &
3411 *t406*t17 - 0.1500000000e1_dp*t151*t50*t379 + 0.1500000000e1_dp &
3412 *t405*t156*t413 + 0.2000000000e1_dp*t155*t417*t225 - 0.3000000000e1_dp &
3413 *t49*t245*t25
3414 t425 = t149*t424
3415 t428 = omega*t150
3416 t429 = t428*t45
3417 t433 = t140*t17
3418 t437 = t56*t278
3419 t444 = t45*t27
3420 t445 = t164*t444
3421 t446 = t74*rho
3422 t450 = t114*t74
3423 t451 = rho*t225
3424 t455 = t27*t278
3425 t462 = t56*t203
3426 t466 = t27*t203
3427 t470 = t176*t40
3428 t471 = 0.1e1_dp/t470
3429 t472 = t59*t471
3430 t473 = t472*pi
3431 t474 = t20*t140
3432 t478 = t178*pi
3433 t479 = t56*t140
3434 t489 = t27*rho
3435 t496 = -0.1800000000e2_dp*t473*t474*t237 + 0.5999999999e1_dp*t478 &
3436 *t479*t17 + 0.8999999998e1_dp*t178*t62*t379 - 0.1800000000e2_dp &
3437 *t478*t183*t413 - 0.6000000000e1_dp*t182*t489*t225 + 0.1800000000e2_dp &
3438 *t61*t262*t25
3439 t498 = t187*t266
3440 t500 = t58*t379
3441 t503 = t189*t67
3442 t508 = t268*t67
3443 t511 = t22*t70
3444 t512 = t511*t451
3445 t515 = t67*t194
3446 t516 = t66*t515
3447 t517 = t267*t172
3448 t520 = t195*t25
3449 t526 = t65*t17
3450 t527 = t194*t187*t526
3451 t530 = t68*t496
3452 t531 = t530*t65
3453 t534 = t199*t267
3454 t537 = t496*t65 + t498*t65 - 0.5555555558e-1_dp*t500*t71 + 0.3703703705e-1_dp &
3455 *t503*t271 - 0.5555555558e-1_dp*t503*t275 - 0.1111111112e0_dp &
3456 *t508*t196 + 0.1851851853e0_dp*t192*t512 - 0.1111111112e0_dp &
3457 *t516*t517 - 0.1111111112e0_dp*t192*t520 - 0.5555555558e-1_dp &
3458 *t508*t200 + 0.3703703705e-1_dp*t192*t527 - 0.5555555558e-1_dp &
3459 *t192*t531 - 0.5555555558e-1_dp*t192*t534
3460 t541 = (2*t147*t394) + (2*t147*t425) - 0.8333333335e-1_dp &
3461 *t429*t166*t290 - 0.5555555557e-1_dp*t165*t171*t433 + &
3462 0.1666666667e0_dp*t165*t437*t140 + 0.1666666667e0_dp*t165*t166 &
3463 *t379 + 0.1666666667e0_dp*t445*t446*t413 - 0.4444444445e0_dp*t170 &
3464 *t450*t451 + 0.3333333334e0_dp*t170*t455*t172 + 0.3333333334e0_dp &
3465 *t170*t171*t25 + 0.1666666667e0_dp*t165*t462*t237 - &
3466 0.1111111111e0_dp*t170*t466*t17 + 0.3333333334e0_dp*t55*t57* &
3467 t537
3468 e_rho_spin(ii) = e_rho_spin(ii) + (-0.4444444448e0_dp*t214*t79 - 0.6666666672e0_dp*t217*t46 &
3469 *t78*t237 - 0.4444444448e0_dp*t43*t283 + t8*(-0.3333333336e0_dp &
3470 *t55*t141 - 0.1666666668e0_dp*t289*t84*t290 - 0.3333333336e0_dp &
3471 *t83*t295 - 0.3333333336e0_dp*t83*t380 - 0.2222222224e0_dp*t383 &
3472 *t384 - 0.3333333336e0_dp*t83*t387 - 0.2222222224e0_dp*t144* &
3473 t46*t541))*sx
3474 t550 = beta*t25
3475 t551 = t27*t31
3476 t557 = 0.60e1_dp*t550*t551 + 0.60e1_dp*t24*t23*t132
3477 t558 = t105*t557
3478 t561 = 0.40e1_dp*t24*t37 - 0.20e1_dp*t102*t558
3479 t566 = pi*t146
3480 t567 = t566*t149
3481 t569 = t151*t19*t561
3482 t575 = t20*t561
3483 t579 = t58*t561
3484 t585 = 0.8999999998e1_dp*t478*t575*t65 - 0.5555555558e-1_dp*t579 &
3485 *t71 - 0.5000000001e0_dp*t60*t561*t65
3486 t589 = -0.3000000000e1_dp*t567*t569 + 0.1666666667e0_dp*t165*t166 &
3487 *t561 + 0.3333333334e0_dp*t55*t57*t585
3488 t590 = t46*t589
3489 t593 = t140*t561
3490 t597 = t45*t589
3491 t598 = t597*t140
3492 t605 = t24*t92
3493 t608 = rho*t557
3494 t609 = t316*t608
3495 t614 = t136*t557
3496 t615 = t327*t614
3497 t624 = beta*t11
3498 t627 = t97*t132
3499 t628 = t627*rho
3500 t635 = -4*t108 + 4*t332*rho
3501 t637 = t27*t635*t132
3502 t640 = 0.1e1_dp/t308
3503 t645 = -0.240e2_dp*beta*t107*t551 - 0.240e2_dp*t24*t87*t132 + &
3504 0.240e2_dp*t624*t116 + 0.240e2_dp*t605*t628 + 0.60e1_dp*t550*t133 &
3505 + 0.60e1_dp*t119*t637 - 0.60e1_dp*t7*t640*t126*t371
3506 t646 = t105*t645
3507 t649 = -0.320e2_dp*t24*t88 + 0.160e2_dp*t302*t558 + 0.320e2_dp*t605 &
3508 *t99 - 0.160e2_dp*t93*t609 - 0.40e1_dp*t112*t137 + 0.40e1_dp*t102 &
3509 *t615 - 0.20e1_dp*t102*t646
3510 t650 = t84*t649
3511 t653 = t384*t561
3512 t657 = t44*pi*t146
3513 t658 = t657*t178
3514 t668 = t25*t561
3515 t672 = 0.2250000000e1_dp*t400*t401*t561 - 0.1500000000e1_dp*t151 &
3516 *t50*t649 + 0.1500000000e1_dp*t405*t156*t668
3517 t673 = t149*t672
3518 t679 = t56*t585
3519 t689 = t27*t585
3520 t705 = -0.1800000000e2_dp*t473*t474*t561 + 0.8999999998e1_dp*t178 &
3521 *t62*t649 - 0.1800000000e2_dp*t478*t183*t668
3522 t707 = t187*t59
3523 t708 = t707*t177
3524 t709 = t561*t65
3525 t710 = t62*t709
3526 t713 = t58*t649
3527 t716 = t140*t177
3528 t719 = t579*t67
3529 t722 = 0.1e1_dp/lambda
3530 t723 = t60*t722
3531 t728 = t68*t705
3532 t729 = t728*t65
3533 t732 = t60*t187
3534 t735 = t705*t65 + 0.8999999998e1_dp*t708*t710 - 0.5555555558e-1_dp &
3535 *t713*t71 - 0.5000000001e0_dp*t716*t709 - 0.1111111112e0_dp*t719 &
3536 *t196 - 0.1000000001e1_dp*t723*t709 - 0.5555555558e-1_dp*t719* &
3537 t200 - 0.5555555558e-1_dp*t192*t729 - 0.5000000001e0_dp*t732*t709
3538 t739 = 0.1800000000e2_dp*t658*t575*t161 + (2*t147*t673) &
3539 - 0.8333333335e-1_dp*t429*t166*t593 + 0.1666666667e0_dp*t165*t679 &
3540 *t140 + 0.1666666667e0_dp*t165*t166*t649 + 0.1666666667e0_dp &
3541 *t445*t446*t668 + 0.3333333334e0_dp*t170*t689*t172 + 0.1666666667e0_dp &
3542 *t165*t462*t561 + 0.3333333334e0_dp*t55*t57*t735
3543 e_ndrho_spin(ii) = e_ndrho_spin(ii) + (-0.6666666672e0_dp*t217*t46*t78*t561 - 0.4444444448e0_dp &
3544 *t43*t590 + t8*(-0.1666666668e0_dp*t289*t84*t593 - 0.3333333336e0_dp &
3545 *t83*t598 - 0.3333333336e0_dp*t83*t650 - 0.3333333336e0_dp &
3546 *t83*t653 - 0.2222222224e0_dp*t144*t46*t739))*sx
3547 END IF
3548
3549 IF (grad_deriv >= 2) THEN
3550 t747 = lambda*t41*omega
3551 t753 = t4*t48
3552 t754 = t237**2
3553 t764 = 0.1e1_dp/t10/t13
3554 t765 = t764*t311
3555 t766 = t765*t36
3556 t769 = t316*t233
3557 t772 = t233**2
3558 t773 = t327*t772
3559 t776 = t10*t8
3560 t777 = 0.1e1_dp/t776
3561 t782 = t765*t132
3562 t785 = t6**2
3563 t786 = beta*t785
3564 t787 = t10**2
3565 t790 = t308*t94
3566 t792 = 0.1e1_dp/t787/t106
3567 t795 = 0.1e1_dp/t19/t790/t792
3568 t796 = 0.1e1_dp/t787/t13*t795
3569 t797 = t796*t371
3570 t800 = 0.1866666667e2_dp*t24*t777*t341*t31 + 0.4000000000e2_dp* &
3571 t7*t782 - 0.1066666667e2_dp*t786*t797
3572 t801 = t105*t800
3573 t804 = 0.1955555555e2_dp*t7*t766 + 0.1066666667e2_dp*t321*t769 + &
3574 0.40e1_dp*t102*t773 - 0.20e1_dp*t102*t801
3575 t815 = t68*t237
3576 t822 = t44*t194
3577 t826 = 0.2250000000e1_dp*t399*t50*t754 - 0.1000000000e1_dp*t405* &
3578 t815*t17 - 0.1500000000e1_dp*t151*t50*t804 - 0.6666666667e0_dp &
3579 *t49*t822*t14
3580 t827 = t149*t826
3581 t833 = t237*t17
3582 t851 = 0.1800000000e2_dp*t472*t62*t754
3583 t852 = t56*t237
3584 t855 = 0.1200000000e2_dp*t478*t852*t17
3585 t857 = t178*t62*t804
3586 t859 = pi*t27
3587 t862 = 0.2000000000e1_dp*t61*t859*t14
3588 t863 = -t851 + t855 + 0.8999999998e1_dp*t857 + t862
3589 t864 = t863*t65
3590 t865 = t266**2
3591 t866 = t865*t65
3592 t867 = t58*t804
3593 t874 = t511*t14
3594 t877 = t194*t266
3595 t878 = t877*t526
3596 t881 = t68*t863
3597 t882 = t881*t65
3598 t886 = t68*t865*t65
3599 t889 = t864 + t866 - 0.5555555558e-1_dp*t867*t71 + 0.7407407410e-1_dp &
3600 *t508*t271 - 0.1111111112e0_dp*t508*t275 - 0.6172839508e-1_dp* &
3601 t192*t874 + 0.7407407410e-1_dp*t192*t878 - 0.5555555558e-1_dp*t192 &
3602 *t882 - 0.5555555558e-1_dp*t192*t886
3603 t893 = (2*t147*t393*t249) + (2*t147*t827) - 0.8333333335e-1_dp &
3604 *t429*t166*t754 - 0.1111111111e0_dp*t165*t171*t833 &
3605 + 0.3333333334e0_dp*t165*t437*t237 + 0.1666666667e0_dp*t165 &
3606 *t166*t804 + 0.1481481481e0_dp*t170*t450*t14 - 0.2222222222e0_dp &
3607 *t170*t455*t17 + 0.3333333334e0_dp*t55*t57*t889
3608 t894 = t46*t893
3609 t897 = t78*t140
3610 t905 = rho*t150
3611 t906 = t905*omega
3612 t907 = t140*t754
3613 t914 = t379*t237
3614 t918 = t140*t804
3615 t922 = t45*t893
3616 t923 = t922*t140
3617 t926 = t294*t379
3618 t929 = t306*t311
3619 t930 = t929*t36
3620 t940 = 0.1e1_dp/t787/t8
3621 t941 = t7*t940
3622 t942 = t367*t306
3623 t944 = 0.1e1_dp/t20/t942
3624 t946 = t944*t36*rho
3625 t949 = t311*t104
3626 t950 = t949*t317
3627 t953 = t97*t326
3628 t954 = rho*t772
3629 t955 = t953*t954
3630 t958 = rho*t800
3631 t959 = t316*t958
3632 t962 = t7*t764
3633 t963 = t949*t136
3634 t966 = t953*t328
3635 t969 = t316*t375
3636 t972 = t103**2
3637 t973 = 0.1e1_dp/t972
3638 t974 = t22*t973
3639 t975 = t136*t772
3640 t976 = t974*t975
3641 t979 = t375*t233
3642 t980 = t327*t979
3643 t983 = t136*t800
3644 t984 = t327*t983
3645 t987 = t219*t341
3646 t991 = t929*t132
3647 t995 = 0.1e1_dp/t787/t224
3648 t997 = t995*t795*t371
3649 t1000 = t24*t764
3650 t1002 = 0.1e1_dp/t19/t309
3651 t1004 = t1002*t31*rho
3652 t1008 = t944*t132*rho
3653 t1012 = 0.1e1_dp/t787/t776
3654 t1014 = t308**2
3655 t1019 = 0.1e1_dp/t19/t1014*t787*t10
3656 t1021 = t1019*t371*rho
3657 t1024 = t24*t777
3658 t1026 = t341*t126*t132
3659 t1030 = t114*t360*t132
3660 t1033 = t308*t12
3661 t1034 = 0.1e1_dp/t1033
3662 t1036 = t1034*t126*t371
3663 t1040 = ndrho*t764
3664 t1044 = -0.280e3_dp/0.9e1_dp*t356*t341 + 0.280e3_dp/0.9e1_dp*t1040* &
3665 t1002*rho
3666 t1046 = t27*t1044*t132
3667 t1050 = t368*t360*t371
3668 t1054 = beta*t785*ndrho
3669 t1055 = t1054*t368
3670 t1056 = t130**2
3671 t1058 = 0.1e1_dp/t131/t1056
3672 t1059 = t126*t1058
3673 t1060 = t1059*t220
3674 t1063 = -0.1866666667e3_dp*t24*t987*t31 - 0.2240000000e3_dp*t7* &
3675 t991 + 0.4266666667e2_dp*t786*t997 + 0.1866666667e3_dp*t1000*t1004 &
3676 + 0.2240000000e3_dp*t941*t1008 - 0.4266666667e2_dp*t786*t1012 &
3677 *t1021 + 0.1866666667e2_dp*t1024*t1026 - 0.1600000000e2_dp*t350 &
3678 *t1030 - 0.5066666667e2_dp*t366*t1036 + 0.60e1_dp*t119*t1046 + &
3679 0.1600000000e2_dp*t366*t1050 + 0.3200000000e2_dp*t1055*t1060
3680 t1064 = t105*t1063
3681 t1067 = -0.2737777778e3_dp*t7*t930 - 0.1173333333e3_dp*t93*t769 - &
3682 0.320e2_dp*t302*t773 + 0.160e2_dp*t302*t801 + 0.2737777778e3_dp* &
3683 t941*t946 + 0.1173333333e3_dp*t307*t950 + 0.320e2_dp*t93*t955 &
3684 - 0.160e2_dp*t93*t959 - 0.1955555555e2_dp*t962*t963 - 0.2133333334e2_dp &
3685 *t321*t966 + 0.1066666667e2_dp*t321*t969 - 0.120e2_dp*t102 &
3686 *t976 + 0.80e1_dp*t102*t980 + 0.40e1_dp*t102*t984 - 0.20e1_dp*t102 &
3687 *t1064
3688 t1068 = t84*t1067
3689 t1071 = t45*t541
3690 t1076 = t384*t754
3691 t1079 = t1071*t237
3692 t1082 = t384*t804
3693 t1085 = t379*t17
3694 t1089 = t114*t278
3695 t1093 = t25*t804
3696 t1097 = t187*t865
3697 t1099 = t97*t70
3698 t1100 = rho*t777
3699 t1101 = t1099*t1100
3700 t1106 = t500*t67
3701 t1109 = t187*t863
3702 t1111 = t496*t266
3703 t1119 = t194*t496*t526
3704 t1122 = t199*t866
3705 t1125 = t65*t25
3706 t1126 = t877*t1125
3707 t1129 = t867*t67
3708 t1134 = t866*t172
3709 t1137 = t268*t515
3710 t1140 = t176**2
3711 t1141 = 0.1e1_dp/t1140
3712 t1142 = t59*t1141
3713 t1143 = t1142*pi
3714 t1150 = t20*t379
3715 t1157 = t27*t140
3716 t1161 = t56*t379
3717 t1168 = t25*t754
3718 t1172 = t225*t237
3719 t1176 = t56*t25
3720 t1189 = 0.5400000000e2_dp*t1143*t474*t754 - 0.2400000000e2_dp*t473 &
3721 *t479*t833 - 0.3600000000e2_dp*t473*t1150*t237 - 0.1800000000e2_dp &
3722 *t473*t474*t804 - 0.2000000000e1_dp*t478*t1157*t14 + &
3723 0.1200000000e2_dp*t478*t1161*t17 + 0.8999999998e1_dp*t178*t62 &
3724 *t1067 + 0.3600000000e2_dp*t473*t183*t1168 + 0.1200000000e2_dp* &
3725 t478*t489*t1172 - 0.3600000000e2_dp*t478*t1176*t237 - 0.1800000000e2_dp &
3726 *t478*t183*t1093 + 0.8000000000e1_dp*t182*t123* &
3727 t777 - 0.1200000000e2_dp*t61*t859*t225
3728 t1191 = (t1097*t65) - 0.4938271608e0_dp*t192*t1101 - 0.6172839508e-1_dp &
3729 *t503*t874 - 0.1111111112e0_dp*t1106*t275 + (t1109 &
3730 *t65) + (2*t1111*t65) + 0.3703703706e0_dp*t508*t512 + &
3731 0.7407407410e-1_dp*t503*t878 + 0.7407407410e-1_dp*t192*t1119 - 0.5555555558e-1_dp &
3732 *t192*t1122 - 0.2222222224e0_dp*t192*t1126 - 0.1111111112e0_dp &
3733 *t1129*t196 - 0.5555555558e-1_dp*t503*t882 - 0.1111111112e0_dp &
3734 *t516*t1134 - 0.2222222224e0_dp*t1137*t517 + (t1189 &
3735 *t65)
3736 t1192 = t67*t22
3737 t1193 = t66*t1192
3738 t1194 = t267*t451
3739 t1200 = t65*t14
3740 t1201 = t22*t187*t1200
3741 t1206 = t68*t1189
3742 t1207 = t1206*t65
3743 t1210 = t58*t1067
3744 t1213 = t511*t225
3745 t1216 = t864*t172
3746 t1221 = t498*t526
3747 t1224 = t530*t267
3748 t1235 = t199*t864
3749 t1238 = 0.3703703706e0_dp*t1193*t1194 - 0.5555555558e-1_dp*t503*t886 &
3750 - 0.6172839508e-1_dp*t192*t1201 - 0.5555555558e-1_dp*t1129*t200 &
3751 - 0.5555555558e-1_dp*t192*t1207 - 0.5555555558e-1_dp*t1210*t71 &
3752 + 0.3703703706e0_dp*t192*t1213 - 0.1111111112e0_dp*t516*t1216 &
3753 - 0.1111111112e0_dp*t508*t534 + 0.7407407410e-1_dp*t516*t1221 - &
3754 0.1111111112e0_dp*t192*t1224 + 0.7407407410e-1_dp*t508*t527 + 0.7407407410e-1_dp &
3755 *t1106*t271 - 0.1111111112e0_dp*t508*t531 - 0.2222222224e0_dp &
3756 *t508*t520 - 0.5555555558e-1_dp*t192*t1235
3757 t1239 = t1191 + t1238
3758 t1246 = t428*t444
3759 t1247 = t74*t140
3760 t1254 = t27*t889
3761 t1264 = t27*t537
3762 t1268 = t341*t74
3763 t1275 = t56*t889
3764 t1283 = -t851 + t855 + 0.9000000000e1_dp*t857 + t862
3765 t1284 = t1283*t149
3766 t1288 = -0.1111111111e0_dp*t165*t171*t1085 - 0.8888888890e0_dp*t170 &
3767 *t1089*t451 + 0.1666666667e0_dp*t445*t446*t1093 + 0.3333333334e0_dp &
3768 *t55*t57*t1239 - 0.8333333335e-1_dp*t429*t462*t754 &
3769 + 0.5555555556e-1_dp*t1246*t1247*t833 + (4*t147*t393* &
3770 t424) + 0.3333333334e0_dp*t170*t1254*t172 - 0.1111111111e0_dp*t165 &
3771 *t466*t833 + 0.3333333334e0_dp*t165*t437*t379 - 0.2222222222e0_dp &
3772 *t170*t1264*t17 + 0.1037037037e1_dp*t170*t1268*t1100 &
3773 + 0.1666666667e0_dp*t165*t166*t1067 + 0.1666666667e0_dp*t165* &
3774 t1275*t140 - 0.8333333335e-1_dp*t1246*t446*t1168 + (2* &
3775 t147*t1284*t160)
3776 t1292 = t278*rho
3777 t1300 = 0.1e1_dp/t41/t470
3778 t1301 = t47*t1300
3779 t1302 = t1301*t44
3780 t1309 = t19*t379
3781 t1316 = t194*t140
3782 t1320 = t68*t379
3783 t1333 = t68*t25
3784 t1340 = t22*rho
3785 t1347 = -0.5625000000e1_dp*t1302*t401*t754 + 0.1500000000e1_dp*t400 &
3786 *t406*t833 + 0.4500000000e1_dp*t400*t1309*t237 + 0.2250000000e1_dp &
3787 *t400*t401*t804 + 0.3333333333e0_dp*t405*t1316*t14 &
3788 - 0.1000000000e1_dp*t405*t1320*t17 - 0.1500000000e1_dp*t151*t50 &
3789 *t1067 - 0.2250000000e1_dp*t400*t156*t1168 - 0.2000000000e1_dp &
3790 *t405*t417*t1172 + 0.3000000000e1_dp*t405*t1333*t237 + 0.1500000000e1_dp &
3791 *t405*t156*t1093 - 0.3333333333e1_dp*t155*t1340 &
3792 *t777 + 0.4000000000e1_dp*t49*t822*t225
3793 t1348 = t149*t1347
3794 t1360 = t140*t14
3795 t1367 = omega*t398
3796 t1368 = t1367*t45
3797 t1372 = t45*t114
3798 t1373 = t164*t1372
3799 t1377 = t114*t203
3800 t1387 = t392**2
3801 t1388 = t1387*t149
3802 t1392 = t56*t537
3803 t1396 = 0.6666666668e0_dp*t170*t455*t25 + 0.3333333334e0_dp*t445 &
3804 *t1292*t413 + 0.1666666667e0_dp*t165*t462*t804 + (2*t147 &
3805 *t1348) - 0.1111111111e0_dp*t165*t455*t433 - 0.8333333335e-1_dp &
3806 *t429*t166*t918 + 0.3333333334e0_dp*t165*t171*t413 + 0.7407407409e-1_dp &
3807 *t165*t450*t1360 - 0.1666666667e0_dp*t429*t437 &
3808 *t290 + 0.1250000000e0_dp*t1368*t166*t907 - 0.4444444445e0_dp*t1373 &
3809 *t446*t1172 + 0.1481481481e0_dp*t170*t1377*t14 - 0.8888888890e0_dp &
3810 *t170*t450*t225 - 0.1666666667e0_dp*t429*t166*t914 &
3811 + (2*t147*t1388*t160) + 0.3333333334e0_dp*t165*t1392 &
3812 *t237
3813 t1397 = t1288 + t1396
3814 t1401 = -0.3333333336e0_dp*t165*t897*t237 - 0.6666666672e0_dp*t55 &
3815 *t295 - 0.6666666672e0_dp*t55*t380 + 0.8333333340e-1_dp*t906*t84 &
3816 *t907 - 0.3333333336e0_dp*t289*t294*t290 - 0.3333333336e0_dp* &
3817 t289*t84*t914 - 0.1666666668e0_dp*t289*t84*t918 - 0.3333333336e0_dp &
3818 *t83*t923 - 0.6666666672e0_dp*t83*t926 - 0.3333333336e0_dp &
3819 *t83*t1068 - 0.4444444448e0_dp*t383*t1071 - 0.6666666672e0_dp* &
3820 t55*t387 - 0.1666666668e0_dp*t289*t1076 - 0.6666666672e0_dp*t83 &
3821 *t1079 - 0.3333333336e0_dp*t83*t1082 - 0.2222222224e0_dp*t144*t46 &
3822 *t1397
3823 e_rho_rho_spin(ii) = e_rho_rho_spin(ii) + (-0.1333333334e1_dp*t747*t84*t237 - 0.8888888896e0_dp*t214 &
3824 *t283 - 0.3333333336e0_dp*t753*t46*t78*t754 - 0.1333333334e1_dp &
3825 *t217*t46*t282*t237 - 0.6666666672e0_dp*t217*t46*t78* &
3826 t804 - 0.4444444448e0_dp*t43*t894 + t8*t1401)*sx
3827 t1406 = 0.6666666672e0_dp*t747*t84*t561
3828 t1408 = 0.4444444448e0_dp*t214*t590
3829 t1409 = t4*t164
3830 t1410 = t237*t561
3831 t1411 = t84*t1410
3832 t1413 = 0.3333333336e0_dp*t1409*t1411
3833 t1417 = 0.6666666672e0_dp*t217*t46*t589*t237
3834 t1420 = t316*t557
3835 t1425 = t233*t557
3836 t1426 = t327*t1425
3837 t1429 = beta*t225
3838 t1436 = t1033*t940
3839 t1438 = 0.1e1_dp/t19/t1436
3840 t1439 = 0.1e1_dp/t787/t16*t1438
3841 t1440 = t1439*t371
3842 t1443 = -0.8000000000e1_dp*t1429*t115 - 0.2400000000e2_dp*t24*t230 &
3843 + 0.8000000000e1_dp*t366*t1440
3844 t1444 = t105*t1443
3845 t1447 = -0.1066666667e2_dp*t24*t221 + 0.5333333333e1_dp*t321*t1420 &
3846 - 0.40e1_dp*t112*t234 + 0.40e1_dp*t102*t1426 - 0.20e1_dp*t102* &
3847 t1444
3848 t1451 = 0.6666666672e0_dp*t217*t46*t78*t1447
3849 t1455 = 0.6666666672e0_dp*t217*t46*t282*t561
3850 t1459 = t19*t237
3851 t1466 = t68*t17
3852 t1470 = 0.2250000000e1_dp*t400*t1459*t561 - 0.1500000000e1_dp*t151 &
3853 *t50*t1447 - 0.5000000000e0_dp*t405*t1466*t561
3854 t1471 = t149*t1470
3855 t1476 = 0.8333333335e-1_dp*t429*t166*t1410
3856 t1479 = 0.1666666667e0_dp*t165*t679*t237
3857 t1482 = 0.1666666667e0_dp*t165*t166*t1447
3858 t1483 = t17*t561
3859 t1485 = t165*t171*t1483
3860 t1489 = 0.1111111111e0_dp*t170*t689*t17
3861 t1492 = 0.1666666667e0_dp*t165*t437*t561
3862 t1493 = t20*t237
3863 t1496 = 0.1800000000e2_dp*t473*t1493*t561
3864 t1498 = t178*t62*t1447
3865 t1500 = t56*t17
3866 t1502 = t478*t1500*t561
3867 t1504 = -t1496 + 0.8999999998e1_dp*t1498 + 0.5999999999e1_dp*t1502
3868 t1505 = t1504*t65
3869 t1506 = t266*t59
3870 t1507 = t1506*t177
3871 t1509 = 0.8999999998e1_dp*t1507*t710
3872 t1510 = t58*t1447
3873 t1512 = 0.5555555558e-1_dp*t1510*t71
3874 t1513 = t237*t177
3875 t1515 = 0.5000000001e0_dp*t1513*t709
3876 t1517 = 0.3703703705e-1_dp*t719*t271
3877 t1518 = 0.1e1_dp/rho
3878 t1519 = t60*t1518
3879 t1523 = 0.5555555558e-1_dp*t719*t275
3880 t1525 = t68*t1504*t65
3881 t1528 = t60*t266
3882 t1530 = 0.5000000001e0_dp*t1528*t709
3883 t1531 = t1505 + t1509 - t1512 - t1515 + t1517 + 0.3333333334e0_dp*t1519 &
3884 *t709 - t1523 - 0.5555555558e-1_dp*t192*t1525 - t1530
3885 t1535 = 0.1800000000e2_dp*t658*t575*t250 + (2*t147*t1471) &
3886 - t1476 + t1479 + t1482 - 0.5555555555e-1_dp*t1485 - t1489 + t1492 &
3887 + 0.3333333334e0_dp*t55*t57*t1531
3888 t1536 = t46*t1535
3889 t1541 = 0.1666666668e0_dp*t165*t897*t561
3890 t1543 = 0.3333333336e0_dp*t55*t598
3891 t1545 = 0.3333333336e0_dp*t55*t650
3892 t1546 = t905*t46
3893 t1547 = t897*t1410
3894 t1549 = 0.8333333340e-1_dp*t1546*t1547
3895 t1552 = 0.1666666668e0_dp*t289*t597*t290
3896 t1553 = t649*t237
3897 t1556 = 0.1666666668e0_dp*t289*t84*t1553
3898 t1557 = t140*t1447
3899 t1560 = 0.1666666668e0_dp*t289*t84*t1557
3900 t1563 = 0.1666666668e0_dp*t289*t294*t593
3901 t1564 = t45*t1535
3902 t1565 = t1564*t140
3903 t1568 = t294*t649
3904 t1570 = 0.3333333336e0_dp*t83*t1568
3905 t1571 = t379*t561
3906 t1574 = 0.1666666668e0_dp*t289*t84*t1571
3907 t1575 = t597*t379
3908 t1577 = 0.3333333336e0_dp*t83*t1575
3909 t1579 = 0.1173333333e3_dp*t24*t299
3910 t1581 = 0.5866666667e2_dp*t93*t1420
3911 t1582 = t24*t86
3912 t1584 = 0.320e2_dp*t1582*t234
3913 t1586 = 0.320e2_dp*t302*t1426
3914 t1588 = 0.160e2_dp*t302*t1444
3915 t1589 = t24*t306
3916 t1591 = 0.1173333333e3_dp*t1589*t313
3917 t1592 = t949*t608
3918 t1594 = 0.5866666667e2_dp*t307*t1592
3919 t1596 = 0.320e2_dp*t605*t318
3920 t1597 = t7*t298
3921 t1598 = t326*rho
3922 t1599 = t1598*t1425
3923 t1601 = 0.320e2_dp*t1597*t1599
3924 t1602 = rho*t1443
3925 t1603 = t316*t1602
3926 t1605 = 0.160e2_dp*t93*t1603
3927 t1607 = 0.1066666667e2_dp*t339*t322
3928 t1608 = t953*t614
3929 t1610 = 0.1066666667e2_dp*t321*t1608
3930 t1611 = t316*t645
3931 t1613 = 0.5333333333e1_dp*t321*t1611
3932 t1615 = 0.80e1_dp*t112*t329
3933 t1616 = t7*t23
3934 t1617 = t973*t136
3935 t1618 = t1617*t1425
3936 t1620 = 0.120e2_dp*t1616*t1618
3937 t1621 = t645*t233
3938 t1622 = t327*t1621
3939 t1624 = 0.40e1_dp*t102*t1622
3940 t1625 = t136*t1443
3941 t1626 = t327*t1625
3942 t1628 = 0.40e1_dp*t102*t1626
3943 t1630 = 0.40e1_dp*t112*t376
3944 t1631 = t375*t557
3945 t1632 = t327*t1631
3946 t1634 = 0.40e1_dp*t102*t1632
3947 t1636 = 0.5600000000e2_dp*t624*t115
3948 t1638 = 0.1200000000e3_dp*t24*t336
3949 t1640 = 0.1e1_dp/t787/t9
3950 t1642 = t1640*t1438*t371
3951 t1644 = 0.3200000000e2_dp*t366*t1642
3952 t1645 = beta*t219
3953 t1647 = 0.5600000000e2_dp*t1645*t343
3954 t1649 = 0.1200000000e3_dp*t1589*t347
3955 t1652 = t795*t371*rho
3956 t1654 = 0.3200000000e2_dp*t366*t995*t1652
3957 t1656 = 0.8000000000e1_dp*t1429*t352
3958 t1658 = t114*t635*t132
3959 t1660 = 0.8000000000e1_dp*t350*t1658
3960 t1662 = 0.3200000000e2_dp*t7*t372
3961 t1664 = 0.60e1_dp*t550*t362
3962 t1667 = 0.28e2_dp/0.3e1_dp*t332 - 0.28e2_dp/0.3e1_dp*t987*rho
3963 t1669 = t27*t1667*t132
3964 t1671 = 0.60e1_dp*t119*t1669
3965 t1675 = 0.60e1_dp*t7*t640*t360*t371
3966 t1677 = t368*t635*t371
3967 t1679 = 0.8000000000e1_dp*t366*t1677
3968 t1680 = t786*t368
3969 t1681 = t1059*t23
3970 t1684 = t1636 + t1638 - t1644 - t1647 - t1649 + t1654 - t1656 - t1660 &
3971 + t1662 + t1664 + t1671 - t1675 + t1679 - 0.2400000000e2_dp*t1680 &
3972 *t1681
3973 t1685 = t105*t1684
3974 t1688 = t1579 - t1581 + t1584 - t1586 + t1588 - t1591 + t1594 - t1596 &
3975 + t1601 - t1605 + t1607 - t1610 + t1613 + t1615 - t1620 + t1624 &
3976 + t1628 - t1630 + t1634 - 0.20e1_dp*t102*t1685
3977 t1689 = t84*t1688
3978 t1693 = 0.3333333336e0_dp*t55*t653
3979 t1694 = t45*t739
3980 t1696 = 0.2222222224e0_dp*t383*t1694
3981 t1699 = 0.1666666668e0_dp*t289*t384*t1410
3982 t1700 = t1694*t237
3983 t1702 = 0.3333333336e0_dp*t83*t1700
3984 t1703 = t384*t1447
3985 t1705 = 0.3333333336e0_dp*t83*t1703
3986 t1706 = t1071*t561
3987 t1708 = 0.3333333336e0_dp*t83*t1706
3988 t1709 = t187*t1504
3989 t1712 = t266*t561*t65
3990 t1714 = 0.5000000001e0_dp*t732*t1712
3991 t1715 = t713*t67
3992 t1717 = 0.3703703705e-1_dp*t1715*t271
3993 t1718 = t705*t266
3994 t1719 = t1718*t65
3995 t1720 = t140*t266
3996 t1722 = t177*t561*t65
3997 t1724 = 0.5000000001e0_dp*t1720*t1722
3998 t1726 = t194*t705*t526
3999 t1728 = 0.3703703705e-1_dp*t192*t1726
4000 t1730 = 0.1111111112e0_dp*t719*t520
4001 t1731 = t58*t1688
4002 t1735 = 0.3703703705e-1_dp*t719*t527
4003 t1737 = t722*t561*t65
4004 t1740 = t496*t59
4005 t1741 = t1740*t177
4006 t1743 = 0.8999999998e1_dp*t1741*t710
4007 t1745 = t187*t561*t65
4008 t1748 = t140*t1518
4009 t1752 = 0.1851851853e0_dp*t719*t512
4010 t1754 = 0.5555555558e-1_dp*t1715*t275
4011 t1755 = t1510*t67
4012 t1757 = 0.1111111112e0_dp*t1755*t196
4013 t1758 = t1709*t65 - t1714 + t1717 + t1719 - t1724 + t1728 - t1730 &
4014 - 0.5555555558e-1_dp*t1731*t71 + t1735 + 0.666666666e0_dp*t1519* &
4015 t1737 + t1743 + 0.3333333334e0_dp*t1519*t1745 + 0.3333333334e0_dp* &
4016 t1748*t1722 + t1752 - t1754 - t1757
4017 t1760 = 0.5555555558e-1_dp*t719*t534
4018 t1762 = 0.5555555558e-1_dp*t1755*t200
4019 t1763 = t237*t722
4020 t1765 = 0.1000000001e1_dp*t1763*t1722
4021 t1766 = t237*t187
4022 t1768 = 0.5000000001e0_dp*t1766*t1722
4023 t1769 = t199*t1505
4024 t1773 = 0.5555555558e-1_dp*t719*t531
4025 t1774 = t60*t496
4026 t1776 = 0.5000000001e0_dp*t1774*t709
4027 t1777 = t379*t177
4028 t1779 = 0.5000000001e0_dp*t1777*t709
4029 t1782 = t728*t267
4030 t1784 = 0.5555555558e-1_dp*t192*t1782
4031 t1785 = t579*t515
4032 t1787 = 0.1111111112e0_dp*t1785*t517
4033 t1789 = 0.5555555558e-1_dp*t508*t729
4034 t1790 = t1505*t172
4035 t1794 = 0.1000000001e1_dp*t723*t1712
4036 t1795 = t498*t178
4037 t1797 = 0.8999999998e1_dp*t1795*t710
4038 t1800 = 0.5400000000e2_dp*t1143*t474*t1410
4039 t1801 = t20*t649
4040 t1804 = 0.1800000000e2_dp*t473*t1801*t237
4041 t1807 = 0.1800000000e2_dp*t473*t474*t1447
4042 t1810 = 0.1200000000e2_dp*t473*t479*t1483
4043 t1811 = t56*t649
4044 t1814 = 0.5999999999e1_dp*t478*t1811*t17
4045 t1817 = 0.1800000000e2_dp*t473*t1150*t561
4046 t1821 = t472*t262
4047 t1822 = t172*t1410
4048 t1824 = 0.3600000000e2_dp*t1821*t1822
4049 t1825 = t25*t1447
4050 t1828 = 0.1800000000e2_dp*t478*t183*t1825
4051 t1829 = t225*t561
4052 t1832 = 0.6000000000e1_dp*t478*t489*t1829
4053 t1835 = 0.1800000000e2_dp*t478*t1176*t561
4054 t1836 = t1800 - t1804 - t1807 - t1810 + t1814 - t1817 + 0.8999999998e1_dp &
4055 *t178*t62*t1688 + t1824 - t1828 + t1832 - t1835
4056 t1837 = t68*t1836
4057 t1838 = t1837*t65
4058 t1842 = -t1760 - t1762 - t1765 - t1768 - 0.5555555558e-1_dp*t192*t1769 &
4059 - t1773 - t1776 - t1779 - 0.5555555558e-1_dp*t503*t1525 - t1784 &
4060 - t1787 - t1789 - 0.1111111112e0_dp*t516*t1790 - t1794 + t1797 &
4061 - 0.5555555558e-1_dp*t192*t1838 + t1836*t65
4062 t1843 = t1758 + t1842
4063 t1849 = 0.8333333335e-1_dp*t429*t166*t1571
4064 t1852 = 0.8333333335e-1_dp*t429*t679*t290
4065 t1854 = t165*t466*t1483
4066 t1858 = 0.1666666667e0_dp*t445*t446*t1825
4067 t1861 = 0.1800000000e2_dp*t658*t575*t425
4068 t1864 = 0.1666666667e0_dp*t445*t1292*t668
4069 t1865 = t413*t561
4070 t1868 = 0.8333333335e-1_dp*t1246*t446*t1865
4071 t1871 = 2*t147*t393*t672
4072 t1874 = 0.3333333334e0_dp*t170*t689*t25
4073 t1875 = t114*t585
4074 t1878 = 0.4444444445e0_dp*t170*t1875*t451
4075 t1881 = 0.1666666667e0_dp*t165*t437*t649
4076 t1884 = -t1496 + 0.9000000000e1_dp*t1498 + 0.6000000000e1_dp*t1502
4077 t1885 = t1884*t149
4078 t1886 = t1885*t160
4079 t1891 = 0.5625000000e1_dp*t1302*t401*t1410
4080 t1892 = t19*t649
4081 t1895 = 0.2250000000e1_dp*t400*t1892*t237
4082 t1898 = 0.2250000000e1_dp*t400*t401*t1447
4083 t1901 = 0.7500000000e0_dp*t400*t406*t1483
4084 t1902 = t68*t649
4085 t1905 = 0.5000000000e0_dp*t405*t1902*t17
4086 t1908 = 0.2250000000e1_dp*t400*t1309*t561
4087 t1912 = t399*t245
4088 t1914 = 0.2250000000e1_dp*t1912*t1822
4089 t1917 = 0.1500000000e1_dp*t405*t156*t1825
4090 t1920 = 0.1000000000e1_dp*t405*t417*t1829
4091 t1923 = 0.1500000000e1_dp*t405*t1333*t561
4092 t1924 = -t1891 + t1895 + t1898 + t1901 - t1905 + t1908 - 0.1500000000e1_dp &
4093 *t151*t50*t1688 - t1914 + t1917 - t1920 + t1923
4094 t1925 = t149*t1924
4095 t1928 = t56*t1531
4096 t1932 = t27*t1531
4097 t1938 = 0.1666666667e0_dp*t165*t462*t1447
4098 t1939 = 0.3333333334e0_dp*t55*t57*t1843 - t1849 - t1852 - 0.5555555555e-1_dp &
4099 *t1854 + t1858 + t1861 + t1864 - t1868 + t1871 + t1874 &
4100 - t1878 + t1881 + (2*t147*t1886) + (2*t147*t1925) &
4101 + 0.1666666667e0_dp*t165*t1928*t140 + 0.3333333334e0_dp*t170*t1932 &
4102 *t172 + t1938
4103 t1940 = t27*t735
4104 t1943 = 0.1111111111e0_dp*t170*t1940*t17
4105 t1946 = 0.1666666667e0_dp*t165*t1392*t561
4106 t1952 = 0.5555555557e-1_dp*t165*t689*t433
4107 t1954 = t1373*t446*t1829
4108 t1958 = 0.8333333335e-1_dp*t429*t166*t1553
4109 t1961 = 0.1666666667e0_dp*t165*t679*t379
4110 t1962 = t585*rho
4111 t1965 = 0.1666666667e0_dp*t445*t1962*t413
4112 t1966 = t56*t735
4113 t1969 = 0.1666666667e0_dp*t165*t1966*t237
4114 t1971 = t657*t392*t59
4115 t1972 = t177*t20
4116 t1973 = t561*t149
4117 t1974 = t1973*t160
4118 t1975 = t1972*t1974
4119 t1977 = 0.1800000000e2_dp*t1971*t1975
4120 t1980 = 0.2777777778e-1_dp*t1246*t1247*t1483
4121 t1981 = t1367*t57
4122 t1984 = 0.1250000000e0_dp*t1981*t1247*t1410
4123 t1987 = 0.8333333335e-1_dp*t429*t437*t593
4124 t1988 = t649*t17
4125 t1991 = 0.5555555557e-1_dp*t165*t171*t1988
4126 t1994 = 0.8333333335e-1_dp*t429*t166*t1557
4127 t1997 = 0.1666666667e0_dp*t165*t171*t668
4128 t2000 = 0.8333333335e-1_dp*t429*t462*t1410
4129 t2001 = -t1943 + t1946 + 0.1666666667e0_dp*t165*t166*t1688 - t1952 &
4130 - 0.2222222222e0_dp*t1954 - t1958 + t1961 + t1965 + t1969 + t1977 &
4131 + t1980 + t1984 - t1987 - t1991 - t1994 + t1997 - t2000
4132 t2002 = t1939 + t2001
4133 t2006 = -t1541 - t1543 - t1545 + t1549 - t1552 - t1556 - t1560 - t1563 &
4134 - 0.3333333336e0_dp*t83*t1565 - t1570 - t1574 - t1577 - 0.3333333336e0_dp &
4135 *t83*t1689 - t1693 - t1696 - t1699 - t1702 - t1705 - &
4136 t1708 - 0.2222222224e0_dp*t144*t46*t2002
4137 e_ndrho_rho_spin(ii) = e_ndrho_rho_spin(ii) + (-t1406 - t1408 - t1413 - t1417 - t1451 - t1455 - 0.4444444448e0_dp &
4138 *t43*t1536 + t8*t2006)*sx
4139 t2009 = t566*t393
4140 t2013 = t566*t149*t47
4141 t2014 = t398*t19
4142 t2018 = t150*t68
4143 t2022 = t19*t1447
4144 t2027 = t65*t237
4145 t2028 = t575*t2027
4146 t2031 = t56*t561
4147 t2032 = t2031*t526
4148 t2035 = t20*t1447
4149 t2042 = -0.1800000000e2_dp*t473*t2028 + 0.5999999999e1_dp*t478*t2032 &
4150 + 0.8999999998e1_dp*t478*t2035*t65 + t1509 - t1512 + t1517 &
4151 - t1523 + t1515 - 0.5000000001e0_dp*t60*t1447*t65 - t1530
4152 t2046 = -0.3000000000e1_dp*t2009*t569 + 0.4500000000e1_dp*t2013*t2014 &
4153 *t1410 - 0.1000000000e1_dp*t2013*t2018*t1483 - 0.3000000000e1_dp &
4154 *t567*t151*t2022 - t1476 - 0.5555555557e-1_dp*t1485 + t1492 &
4155 + t1482 + t1479 - t1489 + 0.3333333334e0_dp*t55*t57*t2042
4156 t2050 = t45*t2046
4157 t2054 = t786*t640
4158 t2057 = t1636 + t1638 - t1644 - t1647 - t1649 + t1654 - t1656 + t1664 &
4159 + t1662 - t1660 + t1671 + t1679 - t1675 - 0.240e2_dp*t2054*t1060
4160 t2058 = t105*t2057
4161 t2061 = t1579 + t1584 - t1581 - t1586 + t1588 - t1591 - t1596 + t1594 &
4162 + t1601 - t1605 + t1607 + t1615 - t1630 - t1610 - t1620 + t1634 &
4163 + t1628 + t1613 + t1624 - 0.20e1_dp*t102*t2058
4164 t2073 = -t1891 + t1901 + t1908 + t1898 + t1895 - t1905 - 0.1500000000e1_dp &
4165 *t151*t50*t2061 - t1914 - t1920 + t1923 + t1917
4166 t2074 = t149*t2073
4167 t2077 = t161*t17
4168 t2081 = t657*t472
4169 t2082 = t161*t237
4170 t2086 = -t1849 - t1852 - 0.5555555557e-1_dp*t1854 + t1858 + t1861 + &
4171 t1864 - t1868 + t1871 + t1874 + 0.3333333334e0_dp*t170*t27*t2042 &
4172 *t172 - t1878 + (2*t147*t2074) + t1881 + t1938 - t1943 &
4173 + 0.1200000000e2_dp*t658*t2031*t2077 + t1946 - 0.3600000000e2_dp* &
4174 t2081*t575*t2082
4175 t2088 = t56*t2042
4176 t2095 = t1447*t65
4177 t2098 = t140*t471
4178 t2099 = t709*t237
4179 t2104 = t62*t2095
4180 t2107 = -t1714 + t1717 + t1719 - t1724 + t1728 - 0.5000000001e0_dp*t716 &
4181 *t2095 + 0.1000000000e1_dp*t2098*t2099 - 0.1000000001e1_dp*t723 &
4182 *t2095 - t1730 + t1735 + t1743 + 0.8999999998e1_dp*t708*t2104 &
4183 + t1752 - t1754 - t1757 - t1760
4184 t2113 = t177*pi
4185 t2114 = t707*t2113
4186 t2117 = t471*pi
4187 t2118 = t707*t2117
4188 t2124 = t1800 - t1810 - t1817 - t1807 - t1804 + t1814 + 0.8999999998e1_dp &
4189 *t178*t62*t2061 + t1824 + t1832 - t1835 - t1828
4190 t2126 = t68*t2124*t65
4191 t2130 = -0.5000000001e0_dp*t732*t2095 - 0.5555555558e-1_dp*t58*t2061 &
4192 *t71 - t1762 + t1765 + t1768 + 0.5999999999e1_dp*t2114*t2032 &
4193 - t1773 - t1776 - 0.1800000000e2_dp*t2118*t2028 - 0.5555555558e-1_dp &
4194 *t192*t2126 - t1779 - t1784 - t1787 - t1789 - t1794 + t1797 + &
4195 t2124*t65
4196 t2131 = t2107 + t2130
4197 t2138 = -t1952 - 0.2222222223e0_dp*t1954 - t1958 + t1961 + t1965 + t1969 &
4198 + t1977 + t1980 + 0.1666666667e0_dp*t165*t2088*t140 + 0.1800000000e2_dp &
4199 *t658*t2035*t161 + 0.3333333334e0_dp*t55*t57*t2131 &
4200 + t1984 + 0.1666666667e0_dp*t165*t166*t2061 - t1987 - t1991 &
4201 - t1994 + t1997 - t2000
4202 t2139 = t2086 + t2138
4203 t2143 = -t1541 + t1549 - t1563 - t1574 - t1560 - t1543 - t1552 - 0.3333333336e0_dp &
4204 *t83*t2050*t140 - t1577 - t1545 - t1556 - t1570 &
4205 - 0.3333333336e0_dp*t83*t84*t2061 - t1693 - t1699 - t1708 - t1705 &
4206 - t1696 - t1702 - 0.2222222224e0_dp*t144*t46*t2139
4207 e_ndrho_ndrho_spin(ii) = e_ndrho_ndrho_spin(ii) + (-t1406 - t1413 - t1455 - t1451 - t1408 - t1417 - &
4208 0.4444444448e0_dp*t43*t46*t2046 + t8*t2143)*sx
4209 t2147 = lambda*t48*omega
4210 t2160 = t754*t237
4211 t2169 = t237*t804
4212 t2182 = 0.1e1_dp/t787/lambda
4213 t2183 = t2182*t944
4214 t2187 = t949*t233
4215 t2190 = t953*t772
4216 t2193 = t316*t800
4217 t2196 = t772*t233
4218 t2197 = t974*t2196
4219 t2200 = t233*t800
4220 t2201 = t327*t2200
4221 t2204 = t10*t106
4222 t2205 = 0.1e1_dp/t2204
4223 t2220 = beta*t785*t6
4224 t2226 = -0.6222222223e2_dp*t24*t2205*t1002*t31 - 0.2115555556e3_dp &
4225 *t7*t2183*t132 + 0.1315555556e3_dp*t786/t787/t85*t1019 &
4226 *t371 - 0.4266666668e2_dp*t2220/t1014/t94*t1058
4227 t2227 = t105*t2226
4228 t2230 = -0.9125925923e2_dp*t7*t2183*t36 - 0.5866666667e2_dp*t962 &
4229 *t2187 - 0.3200000001e2_dp*t321*t2190 + 0.1600000000e2_dp*t321* &
4230 t2193 - 0.120e2_dp*t102*t2197 + 0.120e2_dp*t102*t2201 - 0.20e1_dp* &
4231 t102*t2227
4232 t2257 = 0.5400000000e2_dp*t1142*t62*t2160
4233 t2261 = 0.3600000000e2_dp*t473*t56*t754*t17
4234 t2264 = 0.5400000000e2_dp*t473*t1493*t804
4235 t2268 = 0.6000000000e1_dp*t478*t27*t237*t14
4236 t2272 = 0.1800000000e2_dp*t478*t56*t804*t17
4237 t2274 = t178*t62*t2230
4238 t2276 = pi*t114
4239 t2279 = 0.2666666667e1_dp*t61*t2276*t86
4240 t2280 = t2257 - t2261 - t2264 - t2268 + t2272 + 0.8999999998e1_dp*t2274 &
4241 - t2279
4242 t2281 = t2280*t65
4243 t2282 = t881*t267
4244 t2285 = t865*t266
4245 t2287 = t68*t2285*t65
4246 t2292 = t863*t266
4247 t2295 = t2285*t65
4248 t2296 = t58*t2230
4249 t2299 = t194*t865
4250 t2300 = t2299*t526
4251 t2304 = t68*t2280*t65
4252 t2307 = t22*t266
4253 t2308 = t2307*t1200
4254 t2311 = t194*t863
4255 t2312 = t2311*t526
4256 t2319 = t1099*t86
4257 t2326 = -0.1851851853e0_dp*t508*t874 + t2281 - 0.1666666668e0_dp*t192 &
4258 *t2282 - 0.5555555558e-1_dp*t192*t2287 - 0.1666666668e0_dp*t508 &
4259 *t886 + (3*t2292*t65) + t2295 - 0.5555555558e-1_dp*t2296 &
4260 *t71 + 0.1111111112e0_dp*t192*t2300 - 0.5555555558e-1_dp*t192* &
4261 t2304 - 0.1851851853e0_dp*t192*t2308 + 0.1111111112e0_dp*t192*t2312 &
4262 + 0.2222222223e0_dp*t508*t878 - 0.1666666668e0_dp*t508*t882 &
4263 + 0.1646090535e0_dp*t192*t2319 - 0.1666666668e0_dp*t1129*t275 + &
4264 0.1111111112e0_dp*t1129*t271
4265 t2351 = t44*t22
4266 t2368 = t237*t14
4267 t2378 = t804*t17
4268 t2382 = t754*t17
4269 t2392 = (2*t147*t1284*t249) + (2*t147*t1388*t249) &
4270 - 0.3456790122e0_dp*t170*t1268*t86 + 0.4444444444e0_dp*t170* &
4271 t1089*t14 + 0.1666666667e0_dp*t165*t166*t2230 + 0.5000000001e0_dp &
4272 *t165*t437*t804 + 0.3333333334e0_dp*t55*t57*t2326 + 0.2e1_dp &
4273 *(t147)*t149*(-0.5625000000e1_dp*t1301*t50*t2160 + &
4274 0.2250000000e1_dp*t400*t68*t754*t17 + 0.6750000000e1_dp*t400* &
4275 t1459*t804 + 0.1000000000e1_dp*t405*t194*t237*t14 - 0.1500000000e1_dp &
4276 *t405*t68*t804*t17 - 0.1500000000e1_dp*t151*t50* &
4277 t2230 + 0.1111111111e1_dp*t49*t2351*t86) - 0.3333333333e0_dp*t170 &
4278 *t1254*t17 + (4*t147*t393*t826) + 0.5000000001e0_dp* &
4279 t165*t1275*t237 + 0.2222222222e0_dp*t165*t450*t2368 - 0.3333333333e0_dp &
4280 *t165*t455*t833 - 0.2500000000e0_dp*t429*t166*t2169 &
4281 - 0.1666666667e0_dp*t165*t171*t2378 + 0.8333333333e-1_dp*t429 &
4282 *t171*t2382 - 0.2500000000e0_dp*t429*t437*t754 + 0.1250000000e0_dp &
4283 *t1368*t166*t2160
4284 t2404 = t45*t1397
4285 t2418 = t379*t754
4286 t2424 = t1067*t237
4287 t2437 = t7*t792
4288 t2439 = 0.1e1_dp/t20/t1436
4289 t2451 = t940*t944
4290 t2455 = t97*t973
4291 t2468 = t944*t104
4292 t2480 = 0.1e1_dp/t19/t942
4293 t2492 = t1014*rho
4294 t2537 = t764*t1002
4295 t2552 = t360*t1058
4296 t2565 = t126/t131/t1056/t130
4297 t2569 = -0.8088888890e3_dp*t24*t2182*t2480*t31*rho - 0.1518222222e4_dp &
4298 *t2437*t2439*t132*rho + 0.6542222223e3_dp*t786/t2204 &
4299 /t19/t2492*t218*t371*rho - 0.6222222223e2_dp*t24*t2205 &
4300 *t1002*t126*t132 + 0.5600000000e2_dp*t1024*t341*t360 &
4301 *t132 + 0.3288888889e3_dp*t366/t790*t126*t371 - 0.2400000000e2_dp &
4302 *t350*t114*t1044*t132 - 0.1520000000e3_dp*t366*t1034* &
4303 t360*t371 - 0.3626666667e3_dp*t1054*t1034*t1060 + 0.60e1_dp*t119 &
4304 *t27*(0.3640e4_dp/0.27e2_dp*t1040*t1002 - 0.3640e4_dp/0.27e2_dp &
4305 *ndrho*t2182*t2480*rho)*t132 + 0.8088888890e3_dp*t24*t2537 &
4306 *t31 + 0.1518222222e4_dp*t7*t2451*t132 - 0.6542222223e3_dp* &
4307 t786*t1012*t1019*t371 + 0.2400000000e2_dp*t366*t368*t1044 &
4308 *t371 + 0.9600000000e2_dp*t1055*t2552*t220 - 0.1173333333e3_dp &
4309 *t1055*t1059*t765 + 0.2133333333e3_dp*beta*t785*t365*t368 &
4310 *t2565*t796
4311 t2576 = 0.40e1_dp*t102*t327*t136*t2226 + 0.3519999999e3_dp*t93 &
4312 *t2190 - 0.1551407408e4_dp*t2437*t2439*t36*rho + 0.960e2_dp* &
4313 t1597*t1598*t2200 + 0.120e2_dp*t102*t327*t375*t800 + 0.1551407408e4_dp &
4314 *t7*t2451*t36 - 0.960e2_dp*t93*t2455*rho*t2196 &
4315 + 0.120e2_dp*t102*t327*t1063*t233 + 0.1600000000e2_dp*t321 &
4316 *t316*t1063 + 0.9125925923e2_dp*t7*t2182*t2468*t136 + 0.1760000000e3_dp &
4317 *t307*t949*t958 - 0.360e2_dp*t1616*t1617*t2200 &
4318 - 0.20e1_dp*t102*t105*t2569 - 0.6400000001e2_dp*t321*t953*t979
4319 t2585 = 0.1e1_dp/t972/t35
4320 t2611 = t311*t326
4321 t2621 = -0.3200000001e2_dp*t321*t953*t983 - 0.160e2_dp*t93*t316 &
4322 *rho*t2226 + 0.480e2_dp*t102*t22*t2585*t136*t2196 - 0.1760000000e3_dp &
4323 *t93*t2193 + 0.960e2_dp*t302*t2197 + 0.160e2_dp*t302 &
4324 *t2227 - 0.960e2_dp*t302*t2201 - 0.8213333332e3_dp*t941*t2468 &
4325 *t317 + 0.8213333332e3_dp*t307*t2187 + 0.9600000002e2_dp*t321* &
4326 t2455*t975 - 0.360e2_dp*t102*t974*t375*t772 - 0.3519999999e3_dp &
4327 *t307*t2611*t954 + 0.1173333334e3_dp*t962*t2611*t328 - &
4328 0.5866666667e2_dp*t962*t949*t375
4329 t2622 = t2576 + t2621
4330 t2631 = t282*t140
4331 t2635 = -0.1000000001e1_dp*t55*t923 - 0.3333333336e0_dp*t83*t384 &
4332 *t2230 - 0.5000000004e0_dp*t165*t897*t804 - 0.6666666672e0_dp*t383 &
4333 *t2404 - 0.1000000001e1_dp*t83*t1071*t804 - 0.5000000004e0_dp &
4334 *t164*t1076 - 0.1000000001e1_dp*t289*t294*t914 - 0.5000000004e0_dp &
4335 *t289*t294*t918 + 0.2500000002e0_dp*t906*t84*t2418 - &
4336 0.2000000001e1_dp*t55*t1079 - 0.5000000004e0_dp*t289*t84*t2424 &
4337 + 0.2500000002e0_dp*t1546*t897*t2169 - 0.3333333336e0_dp*t83* &
4338 t84*t2622 + 0.2500000002e0_dp*t906*t294*t907 - 0.1000000001e1_dp &
4339 *t55*t1082 - 0.1000000001e1_dp*t165*t2631*t237
4340 t2636 = t78*t379
4341 t2645 = t379*t804
4342 t2655 = t140*t2230
4343 t2707 = t74*t379
4344 t2720 = t56*t1239
4345 t2724 = 0.5000000001e0_dp*t165*t1392*t804 - 0.1333333334e1_dp*t165 &
4346 *t450*t1172 - 0.2666666667e1_dp*t170*t1089*t225 + 0.8333333333e-1_dp &
4347 *t429*t466*t2382 + 0.1000000000e1_dp*t170*t1254*t25 &
4348 + 0.1666666667e0_dp*t165*t166*t2622 + 0.1666666667e0_dp*t165* &
4349 t56*t2326*t140 - 0.2500000000e0_dp*t429*t166*t2424 - 0.3333333333e0_dp &
4350 *t165*t455*t1085 - 0.1728395062e0_dp*t165*t1268* &
4351 t140*t86 - 0.2500000000e0_dp*t1246*t446*t413*t804 + 0.1666666666e0_dp &
4352 *t1246*t2707*t833 + 0.1250000000e0_dp*t1368*t462*t2160 &
4353 - 0.1666666667e0_dp*t165*t466*t2378 + (6*t147*t1283 &
4354 *t394) + 0.5000000001e0_dp*t165*t2720*t237
4355 t2732 = rho*t2205
4356 t2759 = t25*t2230
4357 t2763 = t1367*t444
4358 t2779 = t25*t2160
4359 t2783 = -0.2500000000e0_dp*t429*t1392*t754 + (6*t147*t393 &
4360 *t1347) - 0.3456790123e1_dp*t170*t1002*t74*t2732 + 0.5000000001e0_dp &
4361 *t165*t1275*t379 - 0.1333333334e1_dp*t170*t114*t889 &
4362 *t451 + 0.3333333334e0_dp*t170*t27*t2326*t172 - 0.2500000000e0_dp &
4363 *t429*t171*t1168 + 0.3750000000e0_dp*t1981*t1247*t2169 &
4364 + 0.5000000001e0_dp*t165*t171*t1093 + 0.8333333334e-1_dp*t1246 &
4365 *t1247*t2378 + 0.1666666667e0_dp*t445*t446*t2759 - 0.1250000000e0_dp &
4366 *t2763*t1247*t2382 + 0.5000000001e0_dp*t165*t437*t1067 &
4367 + 0.2222222222e0_dp*t165*t1089*t1360 + 0.1000000000e1_dp*t165 &
4368 *t455*t413 - 0.2500000000e0_dp*t429*t462*t2169 + 0.1250000000e0_dp &
4369 *t2763*t446*t2779
4370 t2808 = t19*t1067
4371 t2816 = t225*t754
4372 t2821 = 0.1e1_dp/t41/t1140
4373 t2823 = t47*t2821*t44
4374 t2833 = -0.1687500000e2_dp*t1302*t401*t2169 + 0.6750000000e1_dp*t400 &
4375 *t1309*t804 + 0.4500000000e1_dp*t400*t1320*t833 - 0.1500000000e1_dp &
4376 *t400*t1316*t2368 + 0.1000000000e1_dp*t405*t194*t379 &
4377 *t14 + 0.8888888888e1_dp*t155*t97*rho*t2205 + 0.6750000000e1_dp &
4378 *t400*t2808*t237 - 0.1500000000e1_dp*t405*t68*t1067 &
4379 *t17 + 0.4500000000e1_dp*t400*t417*t2816 + 0.1968750000e2_dp*t2823 &
4380 *t401*t2160 + 0.1500000000e1_dp*t405*t156*t2759 + 0.2250000000e1_dp &
4381 *t400*t401*t2230
4382 t2843 = t777*t237
4383 t2853 = t172*t2169
4384 t2869 = t225*t804
4385 t2873 = t194*t225
4386 t2877 = -0.1500000000e1_dp*t151*t50*t2622 + 0.5625000000e1_dp*t1302 &
4387 *t156*t2779 - 0.6750000000e1_dp*t400*t1333*t754 + 0.4999999999e1_dp &
4388 *t405*t1340*t2843 - 0.1000000000e2_dp*t49*t2351*t777 &
4389 - 0.5625000000e1_dp*t1302*t406*t2382 - 0.6750000000e1_dp*t1912 &
4390 *t2853 - 0.5555555555e0_dp*t405*t22*t140*t86 + 0.4500000000e1_dp &
4391 *t405*t1333*t804 + 0.2250000000e1_dp*t400*t406*t2378 - &
4392 0.1687500000e2_dp*t1302*t1309*t754 - 0.3000000000e1_dp*t405*t417 &
4393 *t2869 - 0.6000000000e1_dp*t405*t2873*t237
4394 t2885 = t428*t1372
4395 t2935 = -0.2500000000e0_dp*t429*t166*t2645 + (2*t147*t149 &
4396 *(t2833 + t2877)) + 0.5000000001e0_dp*t445*t1292*t1093 + 0.3333333333e0_dp &
4397 *t2885*t446*t2816 + 0.2222222222e0_dp*t165*t1377 &
4398 *t2368 - 0.3333333333e0_dp*t165*t1264*t833 + 0.2e1_dp*(t147) &
4399 *(t2257 - t2261 - t2264 - t2268 + t2272 + 0.9000000000e1_dp*t2274 &
4400 - t2279)*(t149)*t160 - 0.3333333333e0_dp*t170*t27*t1239 &
4401 *t17 - 0.8333333335e-1_dp*t429*t166*t2655 + (6*t147 &
4402 *t1284*t424) + 0.2e1_dp*(t147)*t1387*t392*(t149)* &
4403 t160 - 0.2500000000e0_dp*t1246*t1292*t1168 - 0.1666666667e0_dp* &
4404 t165*t1254*t433 + (6*t147*t1388*t424) + 0.1666666667e0_dp &
4405 *t165*t462*t2230 + 0.2222222222e0_dp*t165*t450*t379*t14 &
4406 - 0.5000000001e0_dp*t429*t437*t914
4407 t2937 = t164*t45*t341
4408 t2992 = 0.1e1_dp/t1140/t40
4409 t2994 = t59*t2992*pi
4410 t2998 = t27*t225
4411 t3026 = 0.1620000000e3_dp*t1143*t474*t2169 + 0.1080000000e3_dp*t1143 &
4412 *t479*t2382 - 0.2160000000e3_dp*t2994*t474*t2160 + 0.3600000000e2_dp &
4413 *t478*t2998*t237 + 0.1620000000e3_dp*t1143*t1150* &
4414 t754 + 0.2666666667e1_dp*t478*t114*t140*t86 - 0.3600000000e2_dp &
4415 *t473*t479*t2378 + 0.1080000000e3_dp*t1821*t2853 - 0.7200000000e2_dp &
4416 *t473*t1161*t833 - 0.1800000000e2_dp*t473*t474*t2230 &
4417 + 0.8999999998e1_dp*t178*t62*t2622 - 0.5400000000e2_dp*t478* &
4418 t1176*t804
4419 t3030 = t20*t1067
4420 t3069 = -0.1800000000e2_dp*t478*t183*t2759 - 0.5400000000e2_dp*t473 &
4421 *t3030*t237 - 0.6000000000e1_dp*t478*t27*t379*t14 - 0.5400000000e2_dp &
4422 *t473*t1150*t804 + 0.1800000000e2_dp*t478*t489* &
4423 t2869 + 0.1080000000e3_dp*t473*t1176*t754 + 0.1800000000e2_dp*t478 &
4424 *t56*t1067*t17 - 0.3600000000e2_dp*t473*t489*t2816 - 0.1866666667e2_dp &
4425 *t182*t357*t2205 + 0.2400000000e2_dp*t61*t2276 &
4426 *t777 - 0.2400000000e2_dp*t478*t123*t2843 - 0.1080000000e3_dp* &
4427 t1143*t183*t2779 + 0.1200000000e2_dp*t473*t1157*t2368
4428 t3070 = t3026 + t3069
4429 t3085 = t1210*t67
4430 t3093 = (3*t496*t865*t65) + (3*t1189*t266*t65) &
4431 + 0.1111111112e1_dp*(t192)*(t2307)*(t65)*(t225) &
4432 + (t187*t2280*t65) + (3*t496*t863*t65) + 0.2222222223e0_dp &
4433 *t516*t1111*t526 + (t187*t2285*t65) + (t3070 &
4434 *t65) - 0.1851851853e0_dp*t1193*t498*t1200 + 0.2222222223e0_dp &
4435 *t508*t1119 + 0.1111111112e0_dp*(t192)*t194*(t1189) &
4436 *t526 + 0.2222222223e0_dp*t1137*t1221 - 0.1666666668e0_dp*t1129 &
4437 *t534 + 0.1111111112e0_dp*t3085*t271 - 0.5555555558e-1_dp*(t192) &
4438 *(t199)*(t2281) - 0.1851851853e0_dp*t508*t1201
4439 t3097 = t66*t69
4440 t3098 = t1109*t267
4441 t3129 = t2296*t67
4442 t3141 = -0.3333333336e0_dp*t192*t2299*t1125 - 0.1666666668e0_dp*t3097 &
4443 *t3098 + 0.1111111112e0_dp*t503*t2300 + 0.1111111112e0_dp*t1129 &
4444 *t527 - 0.1666666668e0_dp*t1129*t531 - 0.5555555558e-1_dp*t192 &
4445 *t68*t3070*t65 + 0.1646090535e0_dp*t192*t97*t187*t65* &
4446 t86 + 0.5555555559e0_dp*t1129*t512 - 0.1666666668e0_dp*t192*t530 &
4447 *t864 - 0.1666666668e0_dp*t1106*t882 - 0.1666666668e0_dp*t192* &
4448 t530*t866 - 0.1481481482e1_dp*t192*t1099*t777 - 0.1111111112e0_dp &
4449 *t3129*t196 + 0.5555555559e0_dp*t1193*t866*t451 - 0.1666666668e0_dp &
4450 *t503*t2282 - 0.1666666668e0_dp*t3085*t275 + 0.1111111112e0_dp &
4451 *t503*t2312
4452 t3181 = -0.1851851853e0_dp*t1106*t874 - 0.1666666668e0_dp*t508*t1235 &
4453 - 0.3333333336e0_dp*t508*t1224 - 0.1111111112e0_dp*t516*t2281 &
4454 *t172 + 0.1111111112e0_dp*t516*t1097*t526 + 0.2222222223e0_dp* &
4455 t1106*t878 - 0.1851851853e0_dp*t503*t2308 - 0.3333333336e0_dp*t1137 &
4456 *t1216 + (3*t3098) + 0.1111111112e0_dp*t516*t1109*t526 &
4457 - 0.5555555558e-1_dp*t503*t2287 - 0.3333333336e0_dp*t192*t2311 &
4458 *t1125 - 0.6666666672e0_dp*t508*t1126 + 0.1646090535e0_dp*t503 &
4459 *t2319 - 0.5555555558e-1_dp*t3129*t200 - 0.5555555558e-1_dp*t58 &
4460 *t2622*t71 - 0.1666666668e0_dp*t1106*t886
4461 t3232 = -0.1666666668e0_dp*t192*t1206*t267 - 0.5555555558e-1_dp*t192 &
4462 *t199*t2295 - 0.1666666668e0_dp*t508*t1122 - 0.3333333336e0_dp &
4463 *t1129*t520 - 0.1111111112e0_dp*t516*t2295*t172 - 0.1481481482e1_dp &
4464 *t66*t67*t97*t267*t1100 - 0.1851851853e0_dp*t192* &
4465 t22*t496*t1200 - 0.3333333336e0_dp*t516*t2292*t65*rho* &
4466 t25 + 0.1810699590e1_dp*t192*t311*t70*t2732 - 0.5555555558e-1_dp &
4467 *t503*t2304 - 0.1481481482e1_dp*t508*t1101 - 0.3333333336e0_dp* &
4468 t867*t515*t517 + 0.1111111112e1_dp*t268*t1192*t1194 + 0.5555555559e0_dp &
4469 *t1193*t864*t451 + 0.1111111112e1_dp*t508*t1213 - &
4470 0.1666666668e0_dp*t508*t1207 - 0.3333333336e0_dp*t1137*t1134
4471 t3244 = t278*t140
4472 t3248 = t889*rho
4473 t3262 = omega*t1300
4474 t3264 = t140*t2160
4475 t3268 = 0.1555555556e1_dp*t2937*t446*t2843 + 0.3111111111e1_dp*t170 &
4476 *t1268*t777 - 0.2500000000e0_dp*t429*t1275*t290 - 0.1333333334e1_dp &
4477 *t1373*t1292*t1172 + 0.3111111111e1_dp*t170*t341*t278 &
4478 *t1100 - 0.3456790122e0_dp*t170*t341*t203*t86 + 0.3750000000e0_dp &
4479 *t1368*t166*t2418 + 0.4444444444e0_dp*t170*t114*t537 &
4480 *t14 + 0.3333333334e0_dp*t55*t57*(t3093 + t3141 + t3181 + t3232) &
4481 - 0.1111111111e0_dp*t2885*t1247*t2368 - 0.6666666668e0_dp*t1373 &
4482 *t446*t2869 + 0.1666666667e0_dp*t1246*t3244*t833 + 0.5000000001e0_dp &
4483 *t445*t3248*t413 - 0.1666666667e0_dp*t165*t171* &
4484 t1067*t17 - 0.2500000000e0_dp*t429*t437*t918 + 0.3750000000e0_dp &
4485 *t1368*t437*t907 - 0.3125000000e0_dp*t3262*t45*t166*t3264
4486 t3278 = rho*t398
4487 t3288 = -0.1000000001e1_dp*t165*t2636*t237 - 0.2000000001e1_dp*t55 &
4488 *t926 - 0.1000000001e1_dp*t83*t922*t379 - 0.5000000004e0_dp*t289 &
4489 *t84*t2645 + 0.2500000002e0_dp*t429*t897*t754 - 0.1000000001e1_dp &
4490 *t83*t294*t1067 - 0.1666666668e0_dp*t289*t84*t2655 &
4491 - 0.1000000001e1_dp*t83*t2404*t237 - 0.5000000004e0_dp*t289*t922 &
4492 *t290 - 0.5000000004e0_dp*t289*t384*t2169 - 0.5000000004e0_dp &
4493 *t289*t1071*t754 - 0.2222222224e0_dp*t144*t46*(t2724 + t2783 &
4494 + t2935 + t3268) - 0.3333333336e0_dp*t83*t45*t2392*t140 - &
4495 0.1250000001e0_dp*t3278*omega*t84*t3264 - 0.1000000001e1_dp*t55 &
4496 *t1068 + 0.8333333340e-1_dp*t906*t384*t2160
4497 t3291 = -0.1000000001e1_dp*t2147*t84*t754 - 0.4000000002e1_dp*t747 &
4498 *t294*t237 - 0.2000000001e1_dp*t747*t84*t804 - 0.1333333334e1_dp &
4499 *t214*t894 + 0.1666666668e0_dp*t4*t150*t46*t78*t2160 &
4500 - 0.1000000001e1_dp*t753*t46*t282*t754 - 0.1000000001e1_dp*t1409 &
4501 *t84*t2169 - 0.2000000001e1_dp*t217*t46*t893*t237 - 0.2000000001e1_dp &
4502 *t217*t46*t282*t804 - 0.6666666672e0_dp*t217* &
4503 t46*t78*t2230 - 0.4444444448e0_dp*t43*t46*t2392 + t8*(t2635 &
4504 + t3288)
4505 END IF
4506 IF (grad_deriv >= 3) THEN
4507 e_rho_rho_rho_spin(ii) = e_rho_rho_rho_spin(ii) + t3291*sx
4508 t3305 = t4*t428
4509 t3306 = t754*t561
4510 t3314 = t237*t1447
4511 t3329 = t804*t561
4512 t3339 = t949*t557
4513 t3344 = t953*t1425
4514 t3347 = t316*t1443
4515 t3352 = t772*t557
4516 t3353 = t974*t3352
4517 t3356 = t233*t1443
4518 t3357 = t327*t3356
4519 t3362 = t800*t557
4520 t3363 = t327*t3362
4521 t3366 = beta*t777
4522 t3378 = 0.1866666667e2_dp*t3366*t342 + 0.9866666667e2_dp*t24*t782 &
4523 - 0.8266666668e2_dp*t366*t797 + 0.3200000001e2_dp*t1054/t1014/ &
4524 t12*t1058
4525 t3379 = t105*t3378
4526 t3382 = 0.3911111110e2_dp*t24*t766 - 0.1955555555e2_dp*t962*t3339 &
4527 + 0.2133333334e2_dp*t339*t769 - 0.2133333334e2_dp*t321*t3344 + &
4528 0.1066666667e2_dp*t321*t3347 + 0.80e1_dp*t112*t773 - 0.120e2_dp*t102 &
4529 *t3353 + 0.80e1_dp*t102*t3357 - 0.40e1_dp*t112*t801 + 0.40e1_dp &
4530 *t102*t3363 - 0.20e1_dp*t102*t3379
4531 t3449 = t1447*t17
4532 t3453 = (2*t147*t1885*t249) + 0.1800000000e2_dp*(t1971) &
4533 *(t1972)*(t1973)*(t249) + (2*t147*t393 &
4534 *t1470) + 0.1800000000e2_dp*t658*t575*t827 + 0.2e1_dp*(t147) &
4535 *t149*(-0.5625000000e1_dp*t1302*t19*t754*t561 + 0.4500000000e1_dp &
4536 *t400*t1459*t1447 + 0.1500000000e1_dp*t400*t815*t1483 &
4537 - 0.1000000000e1_dp*t405*t68*t1447*t17 + 0.2250000000e1_dp* &
4538 t400*t19*t804*t561 - 0.1500000000e1_dp*t151*t50*t3382 + 0.3333333334e0_dp &
4539 *t405*t194*t14*t561) + 0.1250000000e0_dp*t1368 &
4540 *t166*t3306 - 0.8333333335e-1_dp*t429*t679*t754 - 0.1666666667e0_dp &
4541 *t429*t166*t3314 + 0.5555555555e-1_dp*t1246*t74*t237 &
4542 *t1483 - 0.1111111111e0_dp*t165*t689*t833 - 0.1111111111e0_dp* &
4543 t165*t171*t3449
4544 t3472 = t14*t561
4545 t3491 = 0.5400000000e2_dp*t1143*t20*t754*t561
4546 t3494 = 0.3600000000e2_dp*t473*t1493*t1447
4547 t3497 = 0.2400000000e2_dp*t473*t852*t1483
4548 t3501 = 0.1200000000e2_dp*t478*t56*t1447*t17
4549 t3505 = 0.1800000000e2_dp*t473*t20*t804*t561
4550 t3507 = t178*t62*t3382
4551 t3512 = 0.2000000000e1_dp*t478*t27*t14*t561
4552 t3513 = t3491 - t3494 - t3497 + t3501 - t3505 + 0.8999999998e1_dp*t3507 &
4553 - t3512
4554 t3514 = t3513*t65
4555 t3525 = t58*t3382
4556 t3533 = t237*t1518
4557 t3543 = t3514 + 0.8999999998e1_dp*t863*t59*t177*t710 + (2 &
4558 *t267*t1504) + 0.8999999998e1_dp*t865*t59*t177*t710 - 0.5555555558e-1_dp &
4559 *t3525*t71 - 0.5000000001e0_dp*t804*t177*t709 + &
4560 0.7407407410e-1_dp*t1755*t271 + 0.6666666668e0_dp*t3533*t1722 - &
4561 0.1111111112e0_dp*t1755*t275 - 0.1111111112e0_dp*t508*t1525 - 0.1000000001e1_dp &
4562 *t237*t266*t1722
4563 t3546 = 0.1e1_dp/t12
4564 t3547 = t60*t3546
4565 t3552 = t194*t1504
4566 t3553 = t3552*t526
4567 t3561 = t68*t3513*t65
4568 t3569 = t274*t1505
4569 t3575 = -0.6172839508e-1_dp*t719*t874 - 0.5555555556e0_dp*t3547*t709 &
4570 + 0.7407407410e-1_dp*t719*t878 + 0.7407407410e-1_dp*t192*t3553 &
4571 + 0.6666666668e0_dp*t1519*t1712 - 0.5555555558e-1_dp*t719*t882 &
4572 - 0.5555555558e-1_dp*t192*t3561 - 0.5000000001e0_dp*t60*t863* &
4573 t709 - 0.5555555558e-1_dp*t719*t886 - 0.1111111112e0_dp*t192*t3569 &
4574 - 0.5000000001e0_dp*t60*t865*t709
4575 t3576 = t3543 + t3575
4576 t3580 = -0.1666666667e0_dp*t429*t437*t1410 + 0.3333333334e0_dp*t165 &
4577 *t1928*t237 + 0.3333333334e0_dp*t165*t437*t1447 - 0.8333333335e-1_dp &
4578 *t429*t166*t3329 + 0.1666666667e0_dp*t165*t679*t804 &
4579 + 0.1666666667e0_dp*t165*t166*t3382 + 0.7407407405e-1_dp*t165 &
4580 *t450*t3472 + 0.1481481481e0_dp*t170*t1875*t14 - 0.1111111111e0_dp &
4581 *t165*t455*t1483 - 0.2222222222e0_dp*t170*t1932*t17 + &
4582 0.1666666667e0_dp*t165*t1275*t561 + 0.3333333334e0_dp*t55*t57 &
4583 *t3576
4584 t3581 = t3453 + t3580
4585 t3608 = t973*rho
4586 t3618 = 0.640e2_dp*t1597*t1598*t3356 - 0.640e2_dp*t1582*t773 - &
4587 0.1173333333e3_dp*t93*t3347 - 0.3911111110e2_dp*t1000*t963 - 0.320e2_dp &
4588 *t605*t959 + 0.1173333333e3_dp*t307*t949*t1602 + 0.40e1_dp &
4589 *t102*t327*t136*t3378 - 0.960e2_dp*t1597*t3608*t3352 - &
4590 0.40e1_dp*t112*t1064 + 0.80e1_dp*t112*t984 + 0.2737777778e3_dp*t307 &
4591 *t3339
4592 t3668 = t2552*t23
4593 t3673 = t635*t1058
4594 t3674 = t3673*t220
4595 t3677 = -0.1866666667e3_dp*t1645*t342 - 0.6346666667e3_dp*t24*t991 &
4596 + 0.3946666667e3_dp*t366*t997 + 0.1866666667e3_dp*beta*t764* &
4597 t1004 + 0.60e1_dp*t550*t1046 + 0.60e1_dp*t119*t27*(-0.280e3_dp/ &
4598 0.9e1_dp*t987 + 0.280e3_dp/0.9e1_dp*t2537*rho)*t132 - 0.60e1_dp*t7 &
4599 *t640*t1044*t371 + 0.1600000000e2_dp*t366*t368*t1667*t371 &
4600 - 0.4800000000e2_dp*t1680*t3668 + 0.1600000000e3_dp*t1680*t1060 &
4601 + 0.3200000000e2_dp*t1055*t3674
4602 t3679 = t2565*t1439
4603 t3682 = t24*t940
4604 t3711 = -0.1600000000e3_dp*t2220*t368*t3679 + 0.6346666667e3_dp*t3682 &
4605 *t1008 - 0.3946666667e3_dp*t366*t1012*t1021 + 0.1866666667e2_dp &
4606 *t3366*t1026 + 0.1866666667e2_dp*t1024*t341*t635*t132 &
4607 - 0.1706666667e3_dp*t7*t1036 - 0.1600000000e2_dp*t1429*t1030 - 0.1600000000e2_dp &
4608 *t350*t114*t1667*t132 + 0.6400000000e2_dp*t7* &
4609 t1050 - 0.5066666667e2_dp*t366*t1034*t635*t371 + 0.1520000000e3_dp &
4610 *t786*t1034*t1681
4611 t3726 = -0.240e2_dp*t1616*t1617*t3356 + 0.160e2_dp*t302*t3379 + &
4612 0.40e1_dp*t102*t327*t1063*t557 + 0.960e2_dp*t302*t3353 - 0.320e2_dp &
4613 *t302*t3363 - 0.2737777778e3_dp*t941*t2468*t608 - 0.120e2_dp &
4614 *t102*t974*t645*t772 - 0.2133333334e2_dp*t321*t953*t1621 &
4615 - 0.20e1_dp*t102*t105*(t3677 + t3711) + 0.80e1_dp*t102*t327 &
4616 *t375*t1443 - 0.120e2_dp*t1616*t1617*t3362 - 0.2133333334e2_dp &
4617 *t321*t953*t1625
4618 t3750 = t2585*t136
4619 t3763 = 0.2346666666e3_dp*t1589*t950 + 0.80e1_dp*t102*t327*t1684 &
4620 *t233 + 0.6400000002e2_dp*t7*t220*t1618 - 0.240e2_dp*t112*t976 &
4621 - 0.160e2_dp*t93*t316*rho*t3378 + 0.2346666666e3_dp*t93* &
4622 t3344 + 0.3911111110e2_dp*t962*t2611*t614 - 0.5475555556e3_dp*t24 &
4623 *t930 + 0.480e2_dp*t1616*t3750*t3352 - 0.1955555555e2_dp*t962 &
4624 *t949*t645 - 0.240e2_dp*t1616*t973*t375*t1425 + 0.2133333334e2_dp &
4625 *t339*t969
4626 t3794 = -0.640e2_dp*t302*t3357 - 0.4266666668e2_dp*t339*t966 + 0.640e2_dp &
4627 *t605*t955 + 0.40e1_dp*t102*t327*t645*t800 + 0.5475555556e3_dp &
4628 *t3682*t946 + 0.1066666667e2_dp*t321*t316*t1684 + 0.160e2_dp &
4629 *t112*t980 - 0.2346666666e3_dp*t7*t929*t1599 + 0.320e2_dp &
4630 *t1597*t1598*t3362 - 0.2346666666e3_dp*t605*t769 + 0.320e2_dp &
4631 *t1582*t801 - 0.2133333334e2_dp*t321*t953*t1631
4632 t3796 = t3618 + t3726 + t3763 + t3794
4633 t3826 = 0.8333333340e-1_dp*t906*t597*t907 + 0.1666666668e0_dp*t429 &
4634 *t1547 - 0.3333333336e0_dp*t83*t84*t3796 - 0.3333333336e0_dp* &
4635 t83*t922*t649 - 0.3333333336e0_dp*t289*t294*t1571 - 0.3333333336e0_dp &
4636 *t289*t1071*t1410 - 0.6666666672e0_dp*t83*t1564*t379 &
4637 - 0.6666666672e0_dp*t55*t1700 - 0.3333333336e0_dp*t165*t207* &
4638 t237*t561 - 0.6666666672e0_dp*t55*t1689 - 0.3333333336e0_dp*t83 &
4639 *t1694*t804 + 0.1666666668e0_dp*t1546*t897*t3314
4640 t3827 = t649*t804
4641 t3842 = t3278*t46
4642 t3849 = t140*t3382
4643 t3853 = t649*t754
4644 t3861 = t78*t649
4645 t3865 = t589*t140
4646 t3869 = -0.1666666668e0_dp*t289*t84*t3827 - 0.1666666668e0_dp*t289 &
4647 *t922*t593 + 0.1666666668e0_dp*t1546*t2636*t1410 - 0.6666666672e0_dp &
4648 *t55*t1703 - 0.3333333336e0_dp*t83*t597*t1067 - 0.1250000001e0_dp &
4649 *t3842*t897*t3306 - 0.3333333336e0_dp*t83*t384* &
4650 t3382 - 0.1666666668e0_dp*t289*t84*t3849 + 0.8333333340e-1_dp*t906 &
4651 *t84*t3853 - 0.6666666672e0_dp*t55*t1568 - 0.6666666672e0_dp* &
4652 t55*t1565 - 0.3333333336e0_dp*t165*t3861*t237 - 0.3333333336e0_dp &
4653 *t165*t3865*t237
4654 t3871 = t379*t1447
4655 t3875 = t45*t2002
4656 t3892 = t225*t1447
4657 t3918 = t25*t3382
4658 t3925 = t777*t561
4659 t3933 = t451*t1410
4660 t3939 = t1301*t245
4661 t3940 = t172*t3306
4662 t3965 = 0.1500000000e1_dp*t405*t156*t3918 + 0.1968750000e2_dp*t2823 &
4663 *t401*t3306 + 0.1666666666e1_dp*t405*t1340*t3925 + 0.3000000000e1_dp &
4664 *t405*t1333*t1447 + 0.3000000000e1_dp*t399*t822*t3933 &
4665 + 0.2250000000e1_dp*t400*t401*t3382 + 0.5625000000e1_dp*t3939 &
4666 *t3940 + 0.3333333333e0_dp*t405*t194*t649*t14 - 0.1125000000e2_dp &
4667 *t1302*t1309*t1410 + 0.2250000000e1_dp*t400*t1892*t804 &
4668 - 0.5625000000e1_dp*t1302*t401*t3329 - 0.5625000000e1_dp*t1302 &
4669 *t1892*t754 + 0.2250000000e1_dp*t400*t2808*t561 - 0.4500000000e1_dp &
4670 *t400*t1333*t1410
4671 t3969 = t172*t3314
4672 t3975 = t19*t1688
4673 t3979 = t290*t1483
4674 t3985 = t172*t3329
4675 t4010 = -0.1125000000e2_dp*t1302*t401*t3314 - 0.4500000000e1_dp*t1912 &
4676 *t3969 + 0.4500000000e1_dp*t400*t1309*t1447 + 0.4500000000e1_dp &
4677 *t400*t3975*t237 - 0.3750000000e1_dp*t3939*t3979 - 0.2000000000e1_dp &
4678 *t405*t417*t3892 - 0.2250000000e1_dp*t1912*t3985 - &
4679 0.2000000000e1_dp*t405*t2873*t561 - 0.5000000000e0_dp*t400*t1316 &
4680 *t3472 - 0.1000000000e1_dp*t405*t68*t1688*t17 + 0.1500000000e1_dp &
4681 *t400*t406*t3449 - 0.1500000000e1_dp*t151*t50*t3796 &
4682 + 0.1500000000e1_dp*t400*t1902*t833 + 0.1500000000e1_dp*t400* &
4683 t1320*t1483
4684 t4018 = 0.2222222222e0_dp*t2885*t446*t1172*t561 - 0.1666666667e0_dp &
4685 *t1246*t1292*t1865 - 0.4444444445e0_dp*t1373*t446*t3892 &
4686 - 0.1111111111e0_dp*t165*t171*t1688*t17 + 0.1666666667e0_dp*t165 &
4687 *t56*t3576*t140 + 0.1250000000e0_dp*t2763*t446*t1168* &
4688 t561 + 0.3333333334e0_dp*t165*t689*t413 + 0.1666666667e0_dp*t165 &
4689 *t679*t1067 - 0.1666666667e0_dp*t1246*t446*t413*t1447 + &
4690 (2*t147*t149*(t3965 + t4010)) - 0.4444444445e0_dp*t1373* &
4691 t1292*t1829
4692 t4025 = t3262*t57
4693 t4032 = t74*t649
4694 t4070 = t3525*t67
4695 t4079 = -0.5555555558e-1_dp*t192*t199*t3514 + (t705*t863* &
4696 t65) + (2*t496*t1504*t65) + (t187*t3513*t65) - &
4697 0.5555555558e-1_dp*t192*t728*t864 - 0.5555555556e0_dp*t140*t3546 &
4698 *t1722 + (t705*t865*t65) - 0.1111111112e0_dp*t1106*t1525 &
4699 - 0.1111111112e0_dp*t4070*t196 + 0.6666666668e0_dp*t1748*t266 &
4700 *t1722 + 0.3703703706e0_dp*t1193*t1505*t451
4701 t4101 = t498*t1505
4702 t4108 = -0.5000000001e0_dp*t60*t1189*t709 + 0.3703703706e0_dp*t1755 &
4703 *t512 - 0.5555555558e-1_dp*t503*t3561 - 0.2222222224e0_dp*t516 &
4704 *t267*t172*t1504 - 0.5555555558e-1_dp*t1715*t886 - 0.5555555558e-1_dp &
4705 *t1715*t882 - 0.1111111112e0_dp*t516*t3514*t172 - 0.5000000001e0_dp &
4706 *t1067*t177*t709 + (2*t4101) - 0.1111111112e0_dp &
4707 *t508*t1769 - 0.1111111112e0_dp*t192*t1837*t267
4708 t4140 = -0.5555555558e-1_dp*t719*t1207 - 0.2000000001e1_dp*t1763* &
4709 t266*t1722 - 0.1111111112e0_dp*t192*t530*t1505 + 0.1333333334e1_dp &
4710 *t1519*t722*t1712 + 0.7407407410e-1_dp*t516*t1718*t526 &
4711 + 0.6666666668e0_dp*t379*t1518*t1722 - 0.5555555558e-1_dp*t192* &
4712 t728*t866 - 0.2222222224e0_dp*t719*t1126 + 0.1800000000e2_dp*t1111 &
4713 *t178*t710 - 0.1111111112e0_dp*t508*t1782 - 0.5555555558e-1_dp &
4714 *t58*t3796*t71
4715 t4156 = t865*t561*t65
4716 t4201 = t20*t1688
4717 t4214 = -0.8000000000e1_dp*t478*t123*t3925 - 0.2400000000e2_dp*t473 &
4718 *t479*t3449 + 0.1200000000e2_dp*t478*t489*t3892 + 0.1200000000e2_dp &
4719 *t478*t2998*t561 - 0.2000000000e1_dp*t478*t27*t649 &
4720 *t14 + 0.1200000000e2_dp*t478*t56*t1688*t17 - 0.2400000000e2_dp &
4721 *t473*t1161*t1483 + 0.1080000000e3_dp*t1143*t474*t3314 - &
4722 0.2160000000e3_dp*t2994*t474*t3306 + 0.7200000000e2_dp*t1821* &
4723 t3969 - 0.3600000000e2_dp*t473*t4201*t237 - 0.1800000000e2_dp*t473 &
4724 *t3030*t561 - 0.2400000000e2_dp*t473*t1811*t833 - 0.1800000000e2_dp &
4725 *t478*t183*t3918
4726 t4230 = t1142*t262
4727 t4255 = 0.5400000000e2_dp*t1143*t474*t3329 + 0.5400000000e2_dp*t1143 &
4728 *t1801*t754 + 0.7200000000e2_dp*t473*t1176*t1410 + 0.8999999998e1_dp &
4729 *t178*t62*t3796 - 0.2400000000e2_dp*t472*t859*t3933 &
4730 - 0.1080000000e3_dp*t4230*t3940 + 0.4000000000e1_dp*t473*t1157 &
4731 *t3472 + 0.1080000000e3_dp*t1143*t1150*t1410 + 0.3600000000e2_dp &
4732 *t1821*t3985 + 0.7200000000e2_dp*t4230*t3979 - 0.1800000000e2_dp &
4733 *t473*t1801*t804 - 0.3600000000e2_dp*t473*t1150*t1447 - &
4734 0.3600000000e2_dp*t478*t1176*t1447 - 0.1800000000e2_dp*t473*t474 &
4735 *t3382
4736 t4256 = t4214 + t4255
4737 t4261 = -0.2222222224e0_dp*t1510*t515*t517 + 0.3703703706e0_dp*t719 &
4738 *t1213 - 0.1000000001e1_dp*t1766*t266*t1722 - 0.5555555558e-1_dp &
4739 *t4070*t200 + 0.6666666668e0_dp*t1519*t496*t561*t65 - 0.5000000001e0_dp &
4740 *t732*t4156 - 0.5000000001e0_dp*t140*t865*t1722 &
4741 - 0.5000000001e0_dp*t804*t187*t1722 - 0.4938271608e0_dp*t719* &
4742 t1101 + 0.8999999998e1_dp*t1097*t178*t710 - 0.5555555558e-1_dp* &
4743 t192*t68*t4256*t65
4744 t4272 = t863*t561*t65
4745 t4292 = (2*t1836*t266*t65) - 0.1111111112e0_dp*t719*t1224 &
4746 - 0.2222222224e0_dp*t1137*t1790 - 0.1000000001e1_dp*t723*t4272 &
4747 - 0.1111111112e0_dp*t1785*t1134 - 0.6172839508e-1_dp*t192*t22* &
4748 t705*t1200 - 0.5000000001e0_dp*t140*t863*t1722 - 0.1111111112e0_dp &
4749 *t1755*t531 - 0.6172839508e-1_dp*t1715*t874 - 0.5555555558e-1_dp &
4750 *t719*t1122 + 0.7407407410e-1_dp*t508*t1726
4751 t4317 = 0.7407407410e-1_dp*t1755*t527 - 0.6172839508e-1_dp*t719*t1201 &
4752 - 0.1111111112e0_dp*t508*t1838 - 0.2222222224e0_dp*t192*t3552 &
4753 *t1125 + 0.7407407410e-1_dp*t1785*t1221 - 0.1111111111e1_dp*t3547 &
4754 *t1737 + 0.6666666668e0_dp*t1519*t187*t1712 + 0.7407407410e-1_dp &
4755 *t503*t3553 - 0.1111111112e0_dp*t1755*t534 - 0.1000000001e1_dp &
4756 *t1774*t1712 + 0.7407407410e-1_dp*t719*t1119
4757 t4345 = -0.1000000001e1_dp*t379*t266*t1722 - 0.1000000001e1_dp*t804 &
4758 *t722*t1722 + 0.8999999998e1_dp*t1109*t178*t710 - 0.5555555558e-1_dp &
4759 *t1129*t729 + t4256*t65 - 0.2222222224e0_dp*t1755*t520 &
4760 - 0.1111111112e0_dp*t503*t3569 - 0.1111111112e0_dp*t1785*t1216 &
4761 - 0.1111111112e0_dp*t3097*t4101 - 0.5000000001e0_dp*t732*t4272 &
4762 + 0.7407407410e-1_dp*t192*t194*t1836*t526
4763 t4352 = t1731*t67
4764 t4378 = 0.7407407410e-1_dp*t1715*t878 + 0.8999999998e1_dp*t1189*t59 &
4765 *t177*t710 + 0.7407407410e-1_dp*t4352*t271 - 0.1111111112e0_dp &
4766 *t4352*t275 - 0.5555555556e0_dp*t3547*t1745 + 0.7407407410e-1_dp &
4767 *t516*t1709*t526 + 0.6666666668e0_dp*t3533*t187*t1722 - 0.1000000001e1_dp &
4768 *t237*t496*t1722 + 0.3703703706e0_dp*t579*t1192 &
4769 *t1194 - 0.1000000001e1_dp*t723*t4156 + 0.1333333334e1_dp*t3533 &
4770 *t722*t1722 - 0.5555555558e-1_dp*t719*t1235
4771 t4392 = 0.3333333334e0_dp*t165*t171*t1825 + 0.1250000000e0_dp*t1981 &
4772 *t1247*t3329 - 0.3125000000e0_dp*t4025*t1247*t3306 + 0.3333333334e0_dp &
4773 *t165*t1392*t1447 + 0.5555555556e-1_dp*t1246*t4032 &
4774 *t833 - 0.1666666667e0_dp*t1246*t74*t25*t1410 + 0.5555555556e-1_dp &
4775 *t1246*t1247*t3449 + 0.1800000000e2_dp*t657*t1283*t59 &
4776 *t1975 - 0.1666666667e0_dp*t429*t166*t3871 + 0.3333333334e0_dp &
4777 *t55*t57*(t4079 + t4108 + t4140 + t4261 + t4292 + t4317 + t4345 &
4778 + t4378) + 0.1481481481e0_dp*t170*t114*t735*t14 - 0.1666666667e0_dp &
4779 *t429*t1928*t290
4780 t4428 = -0.1111111111e0_dp*t165*t1264*t1483 + 0.1800000000e2_dp*t658 &
4781 *t575*t1348 - 0.8333333335e-1_dp*t429*t679*t918 - 0.1111111111e0_dp &
4782 *t165*t455*t1988 + 0.3333333334e0_dp*t170*t27*t3576 &
4783 *t172 - 0.8333333335e-1_dp*t429*t1966*t754 + 0.1250000000e0_dp &
4784 *t1368*t679*t907 + 0.1666666667e0_dp*t445*t446*t3918 - 0.4444444445e0_dp &
4785 *t165*t450*t1829 + 0.2500000000e0_dp*t1981*t3244 &
4786 *t1410 - 0.1666666667e0_dp*t429*t1392*t1410
4787 t4466 = -0.1666666667e0_dp*t429*t437*t1553 - 0.1111111111e0_dp*t165 &
4788 *t689*t1085 + 0.1666666667e0_dp*t165*t1275*t649 - 0.2222222222e0_dp &
4789 *t170*t27*t1843*t17 - 0.8333333335e-1_dp*t1246*t1962 &
4790 *t1168 + 0.1666666667e0_dp*t165*t2720*t561 + 0.6666666668e0_dp &
4791 *t170*t1932*t25 + 0.3333333334e0_dp*t445*t1292*t1825 + 0.1250000000e0_dp &
4792 *t1368*t166*t3853 - 0.4444444445e0_dp*t1373*t1962 &
4793 *t1172 + 0.7407407405e-1_dp*t165*t1377*t3472 + 0.5555555555e-1_dp &
4794 *t1246*t3244*t1483
4795 t4498 = t56*t1843
4796 t4505 = 0.1666666667e0_dp*t165*t166*t3796 - 0.8333333334e-1_dp*t2763 &
4797 *t1247*t833*t561 + (4*t147*t392*t1886) + (2 &
4798 *t147*t1388*t672) - 0.1111111111e0_dp*t165*t1940*t833 + 0.3333333334e0_dp &
4799 *t165*t1928*t379 + 0.7407407409e-1_dp*t165*t450 &
4800 *t649*t14 - 0.1666666667e0_dp*t429*t462*t3314 - 0.3703703704e-1_dp &
4801 *t2885*t1247*t3472 + 0.3333333334e0_dp*t165*t4498*t237 &
4802 + (2*t147*t1284*t672)
4803 t4512 = t1531*rho
4804 t4545 = (4*t147*t1885*t424) + 0.1666666667e0_dp*t165*t462 &
4805 *t3382 + 0.3333333334e0_dp*t445*t4512*t413 + 0.5185185185e0_dp &
4806 *t2937*t446*t3925 - 0.8333333335e-1_dp*t429*t166*t3827 - 0.1666666667e0_dp &
4807 *t429*t437*t1571 + 0.5555555555e-1_dp*t1246*t203 &
4808 *t237*t1483 + 0.5555555555e-1_dp*t1246*t2707*t1483 + 0.7407407409e-1_dp &
4809 *t165*t1875*t1360 + (4*t147*t393*t1924) &
4810 + 0.3600000000e2_dp*(t1971)*(t1972)*(t1973)*(t424) &
4811 + 0.3333333334e0_dp*t165*t437*t1688
4812 t4553 = t585*t140
4813 t4575 = t1067*t561
4814 t4585 = 0.1666666667e0_dp*t445*t3248*t668 - 0.1111111111e0_dp*t165 &
4815 *t1932*t433 + 0.5555555556e-1_dp*t1246*t4553*t833 - 0.8333333335e-1_dp &
4816 *t429*t1275*t593 - 0.8333333335e-1_dp*t429*t462* &
4817 t3329 + 0.2500000000e0_dp*t1981*t1247*t3314 + 0.1666666667e0_dp* &
4818 t445*t1962*t1093 + 0.3333333334e0_dp*t165*t455*t668 - 0.8333333335e-1_dp &
4819 *t429*t166*t3849 - 0.8333333335e-1_dp*t429*t166* &
4820 t4575 + 0.2e1_dp*t147*(t3491 - t3494 - t3497 + t3501 - t3505 + 0.9000000000e1_dp &
4821 *t3507 - t3512)*t149*t160
4822 t4607 = t1688*t237
4823 t4627 = 0.1666666667e0_dp*t165*t1966*t804 - 0.1666666667e0_dp*t429 &
4824 *t437*t1557 + 0.1800000000e2_dp*t657*t1387*t59*t1975 + 0.1037037037e1_dp &
4825 *t170*t341*t585*t1100 - 0.8888888890e0_dp*t170 &
4826 *t114*t1531*t451 - 0.8888888890e0_dp*t170*t1875*t225 - 0.1666666667e0_dp &
4827 *t429*t166*t4607 - 0.1111111111e0_dp*t165*t466 &
4828 *t3449 - 0.1666666667e0_dp*t429*t679*t914 - 0.8333333335e-1_dp* &
4829 t1246*t446*t1093*t561 + 0.1250000000e0_dp*t1368*t462*t3306 &
4830 + 0.2500000000e0_dp*t1981*t2707*t1410
4831 t4657 = -0.3333333336e0_dp*t289*t84*t3871 - 0.6666666672e0_dp*t83 &
4832 *t3875*t237 + 0.8333333340e-1_dp*t906*t384*t3306 - 0.1666666668e0_dp &
4833 *t289*t597*t918 - 0.2222222224e0_dp*t144*t46*(t4018 &
4834 + t4392 + t4428 + t4466 + t4505 + t4545 + t4585 + t4627) - 0.1666666668e0_dp &
4835 *t289*t384*t3329 - 0.3333333336e0_dp*t165*t2636*t561 &
4836 - 0.3333333336e0_dp*t165*t897*t1447 + 0.8333333340e-1_dp*t1546 &
4837 *t897*t3329 - 0.6666666672e0_dp*t83*t1071*t1447 - 0.3333333336e0_dp &
4838 *t83*t2404*t561 - 0.4444444448e0_dp*t383*t3875 - 0.3333333336e0_dp &
4839 *t289*t294*t1553
4840 t4696 = -0.6666666672e0_dp*t55*t1575 - 0.3333333336e0_dp*t289*t597 &
4841 *t914 - 0.3333333336e0_dp*t165*t2631*t561 - 0.6666666672e0_dp* &
4842 t55*t1706 - 0.3333333336e0_dp*t289*t384*t3314 - 0.6666666672e0_dp &
4843 *t83*t294*t1688 + 0.1666666668e0_dp*t1546*t2631*t1410 - &
4844 0.3333333336e0_dp*t289*t1564*t290 - 0.1666666668e0_dp*t289*t84 &
4845 *t4575 - 0.3333333336e0_dp*t289*t294*t1557 - 0.1666666668e0_dp &
4846 *t289*t1694*t754 - 0.3333333336e0_dp*t289*t84*t4607 - 0.3333333336e0_dp &
4847 *t83*t45*t3581*t140
4848 t4700 = -0.6666666670e0_dp*t2147*t1411 - 0.1333333334e1_dp*t747*t597 &
4849 *t237 - 0.1333333334e1_dp*t747*t84*t1447 - 0.1333333334e1_dp &
4850 *t747*t294*t561 - 0.8888888896e0_dp*t214*t1536 + 0.1666666668e0_dp &
4851 *t3305*t84*t3306 - 0.3333333336e0_dp*t753*t46*t589*t754 &
4852 - 0.6666666672e0_dp*t1409*t84*t3314 - 0.6666666670e0_dp*t1409 &
4853 *t294*t1410 - 0.1333333334e1_dp*t217*t46*t1535*t237 - 0.1333333334e1_dp &
4854 *t217*t46*t282*t1447 - 0.3333333336e0_dp*t1409 &
4855 *t84*t3329 - 0.6666666672e0_dp*t217*t46*t589*t804 - 0.6666666672e0_dp &
4856 *t217*t46*t78*t3382 - 0.6666666672e0_dp*t217*t46 &
4857 *t893*t561 - 0.4444444448e0_dp*t43*t46*t3581 + t8*(t3826 + &
4858 t3869 + t4657 + t4696)
4859 e_ndrho_rho_rho_spin(ii) = e_ndrho_rho_rho_spin(ii) + t4700*sx
4860 t4701 = t561**2
4861 t4704 = 0.3333333336e0_dp*t2147*t84*t4701
4862 t4707 = 0.1333333334e1_dp*t747*t597*t561
4863 t4708 = t22*t36
4864 t4713 = t557**2
4865 t4714 = t327*t4713
4866 t4717 = t22*t132
4867 t4721 = 0.1e1_dp/t787*t2480
4868 t4725 = 0.120e2_dp*t624*t4717 - 0.60e1_dp*t7*t4721*t371
4869 t4726 = t105*t4725
4870 t4729 = 0.40e1_dp*t624*t4708 - 0.80e1_dp*t112*t558 + 0.40e1_dp*t102 &
4871 *t4714 - 0.20e1_dp*t102*t4726
4872 t4732 = 0.6666666672e0_dp*t747*t84*t4729
4873 t4733 = pi**2
4874 t4734 = t4733*t146
4875 t4736 = 0.1e1_dp/t58/omega
4876 t4738 = t4734*t4736*t1300
4877 t4739 = t4701*t149
4878 t4743 = t19*t4701
4879 t4744 = t399*t4743
4880 t4748 = t151*t19*t4729
4881 t4760 = t20*t4701
4882 t4764 = t20*t4729
4883 t4768 = t58**2
4884 t4769 = 0.1e1_dp/t4768
4885 t4770 = t4769*t1141
4886 t4771 = t4770*t4733
4887 t4772 = t26*t4701
4888 t4776 = t58*t4729
4889 t4782 = -0.2250000000e2_dp*t473*t4760*t65 + 0.8999999998e1_dp*t478 &
4890 *t4764*t65 + 0.8099999996e2_dp*t4771*t4772*t65 - 0.5555555558e-1_dp &
4891 *t4776*t71 - 0.5000000001e0_dp*t60*t4729*t65
4892 t4786 = -0.2700000000e2_dp*t4738*t18*t4739 + 0.4500000000e1_dp*t567 &
4893 *t4744 - 0.3000000000e1_dp*t567*t4748 - 0.8333333335e-1_dp*t429 &
4894 *t166*t4701 + 0.3333333334e0_dp*t165*t679*t561 + 0.1666666667e0_dp &
4895 *t165*t166*t4729 + 0.3333333334e0_dp*t55*t57*t4782
4896 t4789 = 0.4444444448e0_dp*t214*t46*t4786
4897 t4790 = t237*t4701
4898 t4793 = 0.1666666668e0_dp*t3305*t84*t4790
4899 t4796 = 0.6666666672e0_dp*t1409*t597*t1410
4900 t4797 = t1447*t561
4901 t4800 = 0.6666666672e0_dp*t1409*t84*t4797
4902 t4801 = t237*t4729
4903 t4804 = 0.3333333336e0_dp*t1409*t84*t4801
4904 t4808 = 0.6666666672e0_dp*t217*t46*t4786*t237
4905 t4812 = 0.1333333334e1_dp*t217*t46*t589*t1447
4906 t4817 = t953*t4713
4907 t4820 = t316*t4725
4908 t4829 = t233*t4713
4909 t4830 = t974*t4829
4910 t4833 = t1443*t557
4911 t4834 = t327*t4833
4912 t4837 = t233*t4725
4913 t4838 = t327*t4837
4914 t4849 = -0.3200000000e2_dp*t1645*t627 + 0.4800000000e2_dp*t7*t1440 &
4915 - 0.2400000000e2_dp*t786/t2492*t1058
4916 t4850 = t105*t4849
4917 t4853 = -0.1066666667e2_dp*t1645*t98 + 0.2133333334e2_dp*t339*t1420 &
4918 - 0.1066666667e2_dp*t321*t4817 + 0.5333333333e1_dp*t321*t4820 &
4919 - 0.40e1_dp*t624*t234 + 0.160e2_dp*t112*t1426 - 0.80e1_dp*t112* &
4920 t1444 - 0.120e2_dp*t102*t4830 + 0.80e1_dp*t102*t4834 + 0.40e1_dp* &
4921 t102*t4838 - 0.20e1_dp*t102*t4850
4922 t4857 = 0.6666666672e0_dp*t217*t46*t78*t4853
4923 t4861 = 0.3333333336e0_dp*t753*t46*t282*t4701
4924 t4864 = t217*t46*t1535*t561
4925 t4869 = 0.6666666672e0_dp*t217*t46*t282*t4729
4926 t4872 = 0.8333333335e-1_dp*t429*t437*t4701
4927 t4874 = t165*t1928*t561
4928 t4878 = 0.1666666667e0_dp*t165*t437*t4729
4929 t4881 = 0.5400000000e2_dp*t1143*t1493*t4701
4930 t4884 = 0.3600000000e2_dp*t473*t2035*t561
4931 t4887 = 0.1800000000e2_dp*t473*t1493*t4729
4932 t4889 = t178*t62*t4853
4933 t4893 = 0.1200000000e2_dp*t473*t1500*t4701
4934 t4895 = t478*t1500*t4729
4935 t4897 = t4881 - t4884 - t4887 + 0.8999999998e1_dp*t4889 - t4893 + 0.5999999999e1_dp &
4936 *t4895
4937 t4898 = t4897*t65
4938 t4901 = t1504*t59*t177*t710
4939 t4904 = t4701*t65
4940 t4905 = t62*t4904
4941 t4907 = 0.2250000000e2_dp*t1506*t471*t4905
4942 t4908 = t4729*t65
4943 t4909 = t62*t4908
4944 t4911 = 0.8999999998e1_dp*t1507*t4909
4945 t4915 = t4733*t26*t4904
4946 t4917 = 0.8099999996e2_dp*t266*t4769*t1141*t4915
4947 t4918 = t58*t4853
4948 t4920 = 0.5555555558e-1_dp*t4918*t71
4949 t4922 = t1447*t177*t709
4950 t4925 = 0.5000000001e0_dp*t1513*t4908
4951 t4929 = t60*t1504*t709
4952 t4932 = 0.5000000001e0_dp*t1528*t4908
4953 t4935 = 0.1000000000e1_dp*t237*t471*t4904
4954 t4940 = t59*pi*t20*t65
4955 t4941 = t237*t1141*t4701*t4940
4956 t4943 = t4776*t67
4957 t4945 = 0.3703703705e-1_dp*t4943*t271
4958 t4946 = t471*t1518
4959 t4951 = 0.5555555558e-1_dp*t4943*t275
4960 t4952 = t719*t1525
4961 t4955 = t68*t4897*t65
4962 t4958 = t4898 + 0.1800000000e2_dp*t4901 - t4907 + t4911 + t4917 - t4920 &
4963 - 0.1000000000e1_dp*t4922 - t4925 + 0.3333333334e0_dp*t1519*t4908 &
4964 - 0.1000000000e1_dp*t4929 - t4932 + t4935 - 0.4500000000e1_dp*t4941 &
4965 + t4945 + 0.3000000000e1_dp*t4946*t4701*t4940 - t4951 - 0.1111111112e0_dp &
4966 *t4952 - 0.5555555558e-1_dp*t192*t4955
4967 t4994 = t44*t4733*t146
4968 t4995 = t4994*t4770
4969 t5001 = 0.1666666667e0_dp*t165*t166*t4853
4970 t5002 = t17*t4701
4971 t5005 = 0.2777777778e-1_dp*t429*t171*t5002
4972 t5008 = 0.1111111111e0_dp*t165*t689*t1483
4973 t5009 = t17*t4729
4974 t5011 = t165*t171*t5009
4975 t5013 = t27*t4782
4976 t5016 = 0.1111111111e0_dp*t170*t5013*t17
4977 t5019 = 0.1250000000e0_dp*t1368*t166*t4790
4978 t5022 = 0.1666666667e0_dp*t429*t679*t1410
4979 t5025 = 0.1666666667e0_dp*t429*t166*t4797
4980 t5028 = 0.8333333335e-1_dp*t429*t166*t4801
4981 t5029 = t56*t4782
4982 t5032 = 0.1666666667e0_dp*t165*t5029*t237
4983 t5035 = 0.3333333334e0_dp*t165*t679*t1447
4984 t5036 = -t4872 + 0.3333333334e0_dp*t4874 + t4878 + 0.3333333334e0_dp* &
4985 t55*t57*t4958 + 0.2e1_dp*t147*t149*(-0.5625000000e1_dp*t1302 &
4986 *t1459*t4701 + 0.4500000000e1_dp*t400*t2022*t561 + 0.2250000000e1_dp &
4987 *t400*t1459*t4729 - 0.1500000000e1_dp*t151*t50*t4853 &
4988 + 0.7500000000e0_dp*t400*t1466*t4701 - 0.5000000000e0_dp*t405 &
4989 *t1466*t4729) - 0.3600000000e2_dp*t2081*t4760*t250 + 0.1800000000e2_dp &
4990 *t658*t4764*t250 + 0.3600000000e2_dp*t658*t575*t1471 &
4991 + 0.1620000000e3_dp*t4995*t4772*t250 + t5001 + t5005 - t5008 &
4992 - 0.5555555555e-1_dp*t5011 - t5016 + t5019 - t5022 - t5025 - t5028 &
4993 + t5032 + t5035
4994 t5040 = t379*t4729
4995 t5043 = 0.1666666668e0_dp*t289*t84*t5040
4996 t5044 = t140*t4853
4997 t5047 = 0.1666666668e0_dp*t289*t84*t5044
4998 t5050 = 0.1666666668e0_dp*t165*t897*t4729
4999 t5051 = beta*t86
5000 t5060 = beta*t92
5001 t5065 = rho*t4713
5002 t5069 = rho*t4725
5003 t5079 = t136*t4713
5004 t5083 = t645*t557
5005 t5087 = t136*t4725
5006 t5106 = beta*t640
5007 t5108 = t126*t371*ndrho
5008 t5115 = t366*t640
5009 t5118 = -0.480e2_dp*t5051*t4717 + 0.240e2_dp*t7*t2182*t2480*t371 &
5010 + 0.480e2_dp*t5060*t628 - 0.240e2_dp*t7*t1640*t1438*t371 &
5011 *rho + 0.120e2_dp*t550*t637 - 0.180e2_dp*t5106*t5108 - 0.120e2_dp &
5012 *t7*t640*t635*t371 + 0.180e2_dp*t5115*t1681
5013 t5122 = -0.320e2_dp*t5051*t4708 + 0.640e2_dp*t1582*t558 - 0.320e2_dp &
5014 *t302*t4714 + 0.160e2_dp*t302*t4726 + 0.320e2_dp*t5060*t99 - &
5015 0.640e2_dp*t605*t609 + 0.320e2_dp*t93*t953*t5065 - 0.160e2_dp* &
5016 t93*t316*t5069 - 0.40e1_dp*t624*t137 + 0.160e2_dp*t112*t615 &
5017 - 0.80e1_dp*t112*t646 - 0.120e2_dp*t102*t974*t5079 + 0.80e1_dp* &
5018 t102*t327*t5083 + 0.40e1_dp*t102*t327*t5087 - 0.20e1_dp*t102 &
5019 *t105*t5118
5020 t5123 = t5122*t237
5021 t5126 = 0.1666666668e0_dp*t289*t84*t5123
5022 t5139 = t25*t4701
5023 t5143 = t25*t4729
5024 t5147 = -0.5625000000e1_dp*t1302*t401*t4701 + 0.4500000000e1_dp*t400 &
5025 *t1892*t561 + 0.2250000000e1_dp*t400*t401*t4729 - 0.1500000000e1_dp &
5026 *t151*t50*t5122 - 0.2250000000e1_dp*t400*t156*t5139 &
5027 + 0.1500000000e1_dp*t405*t156*t5143
5028 t5163 = t140*t4701
5029 t5170 = t649*t561
5030 t5174 = t140*t4729
5031 t5226 = 0.5400000000e2_dp*t1143*t474*t4701 - 0.3600000000e2_dp*t473 &
5032 *t1801*t561 - 0.1800000000e2_dp*t473*t474*t4729 + 0.8999999998e1_dp &
5033 *t178*t62*t5122 + 0.3600000000e2_dp*t473*t183*t5139 &
5034 - 0.1800000000e2_dp*t478*t183*t5143
5035 t5228 = t705*t59
5036 t5229 = t5228*t177
5037 t5237 = t649*t177
5038 t5244 = t60*t705
5039 t5247 = t187*t4769
5040 t5251 = t58*t5122
5041 t5256 = t140*t1141
5042 t5262 = t471*t722
5043 t5270 = t68*t5226
5044 t5271 = t5270*t65
5045 t5276 = t5226*t65 + 0.1800000000e2_dp*t5229*t710 - 0.2250000000e2_dp &
5046 *t707*t471*t4905 + 0.8999999998e1_dp*t708*t4909 - 0.1000000000e1_dp &
5047 *t5237*t709 - 0.5000000001e0_dp*t716*t4908 - 0.1000000001e1_dp &
5048 *t723*t4908 - 0.1000000000e1_dp*t5244*t709 + 0.8099999996e2_dp &
5049 *t5247*t1141*t4915 - 0.5555555558e-1_dp*t5251*t71 + 0.1000000000e1_dp &
5050 *t2098*t4904 - 0.4500000000e1_dp*t5256*t4701*t4940 &
5051 - 0.1111111112e0_dp*t4943*t196 - 0.9000000007e1_dp*t5262*t4701 &
5052 *t4940 - 0.5555555558e-1_dp*t4943*t200 - 0.1111111112e0_dp*t719* &
5053 t729 - 0.5555555558e-1_dp*t192*t5271 - 0.5000000001e0_dp*t732*t4908
5054 t5280 = (2*t147*t149*t5147) - 0.3600000000e2_dp*t2081*t4760 &
5055 *t161 + 0.1800000000e2_dp*t658*t4764*t161 + 0.3600000000e2_dp &
5056 *t658*t575*t673 + 0.1620000000e3_dp*t4995*t4772*t161 + 0.1250000000e0_dp &
5057 *t1368*t166*t5163 - 0.1666666667e0_dp*t429*t679 &
5058 *t593 - 0.1666666667e0_dp*t429*t166*t5170 - 0.8333333335e-1_dp* &
5059 t429*t166*t5174 + 0.1666666667e0_dp*t165*t5029*t140 + 0.3333333334e0_dp &
5060 *t165*t679*t649 + 0.1666666667e0_dp*t165*t166*t5122 &
5061 - 0.8333333335e-1_dp*t1246*t446*t5139 + 0.3333333334e0_dp*t445 &
5062 *t1962*t668 + 0.1666666667e0_dp*t445*t446*t5143 + 0.3333333334e0_dp &
5063 *t170*t5013*t172 - 0.8333333335e-1_dp*t429*t462*t4701 &
5064 + 0.3333333334e0_dp*t165*t1966*t561 + 0.1666666667e0_dp*t165 &
5065 *t462*t4729 + 0.3333333334e0_dp*t55*t57*t5276
5066 t5281 = t45*t5280
5067 t5284 = 0.3333333336e0_dp*t83*t5281*t237
5068 t5291 = 0.1666666668e0_dp*t289*t384*t4801
5069 t5294 = 0.1666666668e0_dp*t1546*t3865*t1410
5070 t5295 = t45*t4786
5071 t5298 = 0.3333333336e0_dp*t83*t5295*t379
5072 t5301 = 0.3333333336e0_dp*t55*t384*t4729
5073 t5303 = t83*t1564*t649
5074 t5305 = -t5043 - t5047 - t5050 - t5126 - t5284 - 0.3333333336e0_dp*t83 &
5075 *t45*t5036*t140 - t5291 + t5294 - t5298 - t5301 - 0.6666666672e0_dp &
5076 *t5303
5077 t5308 = 0.3333333336e0_dp*t289*t1694*t1410
5078 t5311 = 0.1666666668e0_dp*t289*t1071*t4701
5079 t5314 = 0.1666666668e0_dp*t289*t5295*t290
5080 t5317 = 0.3333333336e0_dp*t165*t3861*t561
5081 t5320 = 0.3333333336e0_dp*t83*t1071*t4729
5082 t5323 = 0.1666666668e0_dp*t1546*t3861*t1410
5083 t5326 = 0.1250000001e0_dp*t3842*t897*t4790
5084 t5329 = 0.6666666672e0_dp*t83*t1694*t1447
5085 t5330 = t379*t4701
5086 t5333 = 0.8333333340e-1_dp*t906*t84*t5330
5087 t5335 = 0.2222222224e0_dp*t383*t5281
5088 t5338 = 0.6666666672e0_dp*t55*t1694*t561
5089 t5339 = t649*t1447
5090 t5342 = 0.3333333336e0_dp*t289*t84*t5339
5091 t5343 = -t5308 - t5311 - t5314 - t5317 - t5320 + t5323 - t5326 - t5329 &
5092 + t5333 - t5335 - t5338 - t5342
5093 t5345 = t1688*t561
5094 t5347 = t289*t84*t5345
5095 t5351 = 0.1666666668e0_dp*t164*t384*t4701
5096 t5354 = 0.3333333336e0_dp*t83*t384*t4853
5097 t5357 = 0.6666666672e0_dp*t55*t597*t649
5098 t5360 = 0.3333333336e0_dp*t289*t384*t4797
5099 t5363 = 0.8333333335e-1_dp*t429*t166*t5040
5100 t5367 = 0.1666666667e0_dp*t445*t4782*rho*t413
5101 t5370 = 0.1666666667e0_dp*t429*t679*t1557
5102 t5371 = t225*t4701
5103 t5373 = t2885*t446*t5371
5104 t5376 = t165*t466*t5009
5105 t5379 = t165*t1928*t649
5106 t5383 = 0.4166666667e-1_dp*t2763*t1247*t5002
5107 t5386 = 0.8333333335e-1_dp*t429*t5029*t290
5108 t5389 = 0.8333333335e-1_dp*t429*t166*t5044
5109 t5397 = 0.8333333335e-1_dp*t1246*t446*t413*t4729
5110 t5400 = 0.3333333334e0_dp*t445*t1962*t1825
5111 t5402 = t165*t679*t1688
5112 t5406 = 0.8333333335e-1_dp*t429*t166*t5123
5113 t5409 = 0.8333333335e-1_dp*t429*t1392*t4701
5114 t5412 = 0.8333333335e-1_dp*t429*t171*t5139
5115 t5415 = 0.1666666667e0_dp*t429*t462*t4797
5116 t5418 = 2*t147*t393*t5147
5117 t5421 = t657*t1884*t59*t1975
5118 t5423 = -t5363 + t5367 - t5370 + 0.1111111111e0_dp*t5373 - 0.5555555555e-1_dp &
5119 *t5376 + 0.3333333334e0_dp*t5379 - t5383 - t5386 - t5389 + &
5120 0.3333333334e0_dp*t170*t27*t4958*t172 - t5397 + t5400 + 0.3333333334e0_dp &
5121 *t5402 - t5406 - t5409 - t5412 - t5415 + t5418 + 0.3600000000e2_dp &
5122 *t5421
5123 t5426 = 0.8333333335e-1_dp*t1246*t1292*t5139
5124 t5429 = 0.1666666667e0_dp*t445*t1292*t5143
5125 t5430 = t225*t4729
5126 t5432 = t1373*t446*t5430
5127 t5436 = 0.1666666667e0_dp*t165*t5029*t379
5128 t5440 = 0.40e1_dp*t102*t327*t375*t4725
5129 t5443 = 0.960e2_dp*t1597*t3608*t4829
5130 t5446 = 0.480e2_dp*t24*t23*t1618
5131 t5449 = 0.1173333333e3_dp*t307*t2611*t5065
5132 t5451 = 0.640e2_dp*t605*t1603
5133 t5454 = 0.2133333334e2_dp*t321*t953*t5083
5134 t5456 = 0.1280e3_dp*t1582*t1426
5135 t5459 = 0.5333333333e1_dp*t321*t316*t5118
5136 t5460 = beta*t306
5137 t5462 = 0.1173333333e3_dp*t5460*t313
5138 t5466 = 0.40e1_dp*t102*t327*t136*t4849
5139 t5468 = 0.2346666666e3_dp*t605*t1420
5140 t5469 = t5440 - t5443 - t5446 - t5449 - t5451 - t5454 - t5456 + t5459 &
5141 - t5462 + t5466 - t5468
5142 t5472 = 0.3200000001e2_dp*t321*t2455*t5079
5143 t5474 = 0.4266666668e2_dp*t339*t1608
5144 t5478 = 0.240e2_dp*t1616*t973*t645*t1425
5145 t5480 = 0.1760000000e3_dp*t5060*t627
5146 t5482 = 0.2160000000e3_dp*t7*t1642
5147 t5484 = 0.1760000000e3_dp*t5460*t347
5148 t5487 = 0.2160000000e3_dp*t7*t995*t1652
5149 t5489 = 0.1600000000e2_dp*t1429*t1658
5150 t5492 = 0.7200000000e2_dp*beta*t368*t5108
5151 t5494 = 0.6400000000e2_dp*t7*t1677
5152 t5496 = t366*t368*t1681
5153 t5499 = 0.120e2_dp*t550*t1669
5154 t5503 = 0.180e2_dp*t5106*t360*t371*ndrho
5155 t5507 = 0.120e2_dp*t7*t640*t1667*t371
5156 t5509 = 0.180e2_dp*t5115*t3668
5157 t5511 = t1680*t3673*t23
5158 t5516 = t5480 - t5482 - t5484 + t5487 - t5489 + t5492 + t5494 - 0.1920000000e3_dp &
5159 *t5496 + t5499 - t5503 - t5507 + t5509 - 0.4800000000e2_dp &
5160 *t5511 + 0.1200000000e3_dp*t1055*t2565*t4721
5161 t5523 = 0.120e2_dp*t102*t974*t375*t4713
5162 t5525 = 0.2133333334e2_dp*t339*t1611
5163 t5528 = t102*t327*t1684*t557
5164 t5531 = 0.160e2_dp*t112*t1626
5165 t5533 = 0.160e2_dp*t112*t1632
5166 t5535 = 0.640e2_dp*t1582*t1444
5167 t5537 = 0.160e2_dp*t112*t1622
5168 t5540 = 0.320e2_dp*t1597*t1598*t4837
5169 t5541 = t5472 - t5474 - t5478 - 0.20e1_dp*t102*t105*t5516 - t5523 &
5170 + t5525 + 0.80e1_dp*t5528 + t5531 + t5533 + t5535 + t5537 + t5540
5171 t5545 = 0.480e2_dp*t1616*t3750*t4829
5172 t5548 = 0.120e2_dp*t1616*t1617*t4837
5173 t5551 = 0.1280e3_dp*t24*t298*t1599
5174 t5553 = 0.160e2_dp*t302*t4850
5175 t5558 = 0.320e2_dp*t5060*t97*t104*rho*t233
5176 t5560 = 0.2346666666e3_dp*t1589*t1592
5177 t5562 = 0.5866666667e2_dp*t93*t4820
5178 t5564 = 0.1173333333e3_dp*t5060*t98
5179 t5565 = t112*t1685
5180 t5568 = 0.1066666667e2_dp*t1645*t322
5181 t5572 = 0.40e1_dp*t102*t327*t5118*t233
5182 t5574 = 0.1173333333e3_dp*t93*t4817
5183 t5575 = t5545 - t5548 + t5551 + t5553 - t5558 + t5560 - t5562 + t5564 &
5184 - 0.80e1_dp*t5565 + t5568 + t5572 + t5574
5185 t5579 = 0.80e1_dp*t102*t327*t645*t1443
5186 t5581 = 0.320e2_dp*t302*t4838
5187 t5585 = 0.160e2_dp*t93*t316*rho*t4849
5188 t5590 = 0.80e1_dp*t624*t22*t326*t136*t233
5189 t5593 = 0.1066666667e2_dp*t321*t953*t5087
5190 t5595 = 0.640e2_dp*t302*t4834
5191 t5597 = 0.960e2_dp*t302*t4830
5192 t5600 = 0.240e2_dp*t1616*t1617*t4833
5193 t5602 = 0.40e1_dp*t624*t376
5194 t5604 = 0.320e2_dp*t5051*t234
5195 t5607 = 0.5866666667e2_dp*t307*t949*t5069
5196 t5610 = 0.640e2_dp*t1597*t1598*t4833
5197 t5611 = t5579 - t5581 - t5585 + t5590 - t5593 - t5595 + t5597 - t5600 &
5198 - t5602 + t5604 + t5607 + t5610
5199 t5613 = t5469 + t5541 + t5575 + t5611
5200 t5619 = 0.3333333334e0_dp*t170*t5013*t25
5201 t5622 = 0.1666666667e0_dp*t165*t1392*t4729
5202 t5625 = 0.1666666667e0_dp*t429*t166*t5339
5203 t5628 = 0.3600000000e2_dp*t2081*t4760*t425
5204 t5631 = 0.5555555556e-1_dp*t1246*t4032*t1483
5205 t5632 = t25*t4853
5206 t5635 = 0.1500000000e1_dp*t405*t156*t5632
5207 t5638 = 0.2250000000e1_dp*t400*t1333*t4701
5208 t5641 = 0.1500000000e1_dp*t405*t1333*t4729
5209 t5643 = t400*t3975*t561
5210 t5647 = 0.5625000000e1_dp*t1302*t1309*t4701
5211 t5650 = 0.5625000000e1_dp*t1302*t401*t4801
5212 t5653 = 0.4500000000e1_dp*t400*t1892*t1447
5213 t5657 = 0.5000000000e0_dp*t405*t68*t5122*t17
5214 t5660 = 0.1125000000e2_dp*t1302*t401*t4797
5215 t5663 = 0.1500000000e1_dp*t400*t417*t5371
5216 t5666 = 0.1125000000e2_dp*t1302*t1892*t1410
5217 t5667 = t5635 - t5638 + t5641 + 0.4500000000e1_dp*t5643 - t5647 - t5650 &
5218 + t5653 - t5657 - t5660 + t5663 - t5666
5219 t5670 = 0.2250000000e1_dp*t400*t1309*t4729
5220 t5671 = t172*t4801
5221 t5673 = 0.2250000000e1_dp*t1912*t5671
5222 t5676 = 0.2250000000e1_dp*t400*t401*t4853
5223 t5679 = 0.1875000000e1_dp*t1302*t406*t5002
5224 t5682 = 0.1500000000e1_dp*t400*t1902*t1483
5225 t5686 = 0.2250000000e1_dp*t400*t19*t5122*t237
5226 t5689 = 0.1000000000e1_dp*t405*t417*t5430
5227 t5692 = 0.1968750000e2_dp*t2823*t401*t4790
5228 t5695 = 0.7500000000e0_dp*t400*t406*t5009
5229 t5696 = t172*t4790
5230 t5698 = 0.5625000000e1_dp*t3939*t5696
5231 t5699 = t172*t4797
5232 t5701 = 0.4500000000e1_dp*t1912*t5699
5233 t5705 = t5670 - t5673 + t5676 - t5679 + t5682 + t5686 - t5689 + t5692 &
5234 + t5695 + t5698 - t5701 - 0.1500000000e1_dp*t151*t50*t5613
5235 t5713 = t4739*t160
5236 t5716 = 0.1620000000e3_dp*t4994*t392*t4769*t1141*t26*t5713
5237 t5719 = 0.3333333334e0_dp*t165*t1966*t1447
5238 t5722 = 0.1111111111e0_dp*t165*t689*t1988
5239 t5724 = t429*t166*t5345
5240 t5728 = 0.2500000000e0_dp*t1981*t1247*t4797
5241 t5731 = 0.1666666667e0_dp*t445*t446*t5632
5242 t5734 = 0.1666666667e0_dp*t429*t679*t1553
5243 t5738 = 0.4444444445e0_dp*t170*t114*t4782*t451
5244 t5741 = 0.1666666667e0_dp*t165*t171*t5143
5245 t5742 = -t5426 + t5429 - 0.2222222222e0_dp*t5432 + t5436 + 0.1666666667e0_dp &
5246 *t165*t166*t5613 + t5619 + t5622 - t5625 - t5628 + t5631 &
5247 + (2*t147*t149*(t5667 + t5705)) + t5716 + t5719 - t5722 &
5248 - 0.1666666667e0_dp*t5724 + t5728 + t5731 - t5734 - t5738 + t5741
5249 t5745 = t165*t4498*t561
5250 t5749 = 0.1666666667e0_dp*t429*t437*t5170
5251 t5752 = 0.8333333335e-1_dp*t429*t462*t4801
5252 t5756 = 0.1111111111e0_dp*t170*t27*t5276*t17
5253 t5760 = 0.1250000000e0_dp*t2763*t446*t413*t4701
5254 t5767 = 0.1666666667e0_dp*t165*t437*t5122
5255 t5770 = 0.1620000000e3_dp*t4995*t4772*t425
5256 t5773 = 0.1250000000e0_dp*t1368*t437*t5163
5257 t5776 = 0.2777777778e-1_dp*t1246*t1247*t5009
5258 t5780 = 0.1666666667e0_dp*t165*t56*t5276*t237
5259 t5783 = 0.5555555557e-1_dp*t165*t5013*t433
5260 t5786 = 0.3333333334e0_dp*t165*t689*t668
5261 t5789 = 0.1250000000e0_dp*t1368*t166*t5330
5262 t5792 = 0.2777777778e-1_dp*t429*t466*t5002
5263 t5795 = 0.1111111111e0_dp*t165*t1940*t1483
5264 t5797 = t1373*t1962*t1829
5265 t5801 = 0.3600000000e2_dp*t1143*t479*t5002
5266 t5804 = 0.2400000000e2_dp*t473*t1811*t1483
5267 t5807 = 0.2160000000e3_dp*t2994*t474*t4790
5268 t5810 = 0.1080000000e3_dp*t1143*t1801*t1410
5269 t5813 = 0.1800000000e2_dp*t478*t183*t5632
5270 t5816 = 0.3600000000e2_dp*t473*t1176*t4701
5271 t5819 = 0.1800000000e2_dp*t478*t1176*t4729
5272 t5822 = 0.1800000000e2_dp*t473*t474*t4853
5273 t5825 = 0.1200000000e2_dp*t473*t479*t5009
5274 t5828 = 0.3600000000e2_dp*t473*t1801*t1447
5275 t5830 = 0.1080000000e3_dp*t4230*t5696
5276 t5831 = t5801 - t5804 - t5807 + t5810 - t5813 + t5816 - t5819 - t5822 &
5277 - t5825 - t5828 - t5830
5278 t5833 = 0.7200000000e2_dp*t1821*t5699
5279 t5835 = 0.3600000000e2_dp*t1821*t5671
5280 t5838 = 0.1080000000e3_dp*t1143*t474*t4797
5281 t5841 = 0.5400000000e2_dp*t1143*t474*t4801
5282 t5845 = 0.1800000000e2_dp*t473*t20*t5122*t237
5283 t5848 = 0.5400000000e2_dp*t1143*t1150*t4701
5284 t5850 = t473*t4201*t561
5285 t5854 = 0.1200000000e2_dp*t473*t489*t5371
5286 t5857 = 0.6000000000e1_dp*t478*t489*t5430
5287 t5861 = 0.5999999999e1_dp*t478*t56*t5122*t17
5288 t5864 = 0.1800000000e2_dp*t473*t1150*t4729
5289 t5868 = t5833 + t5835 + t5838 + t5841 - t5845 + t5848 - 0.3600000000e2_dp &
5290 *t5850 - t5854 + t5857 + t5861 - t5864 + 0.8999999998e1_dp*t178 &
5291 *t62*t5613
5292 t5869 = t5831 + t5868
5293 t5875 = t1447*t187*t1722
5294 t5880 = 0.3703703705e-1_dp*t192*t194*t5226*t526
5295 t5881 = t1141*t4701
5296 t5885 = t719*t1769
5297 t5888 = t60*t1836*t709
5298 t5891 = 0.5555555558e-1_dp*t4943*t534
5299 t5898 = t705*t1504*t65
5300 t5902 = 0.1800000000e2_dp*t1718*t178*t710
5301 t5905 = 0.5555555558e-1_dp*t192*t5270*t267
5302 t5908 = t1836*t59*t177*t710
5303 t5911 = t266*t4729*t65
5304 t5913 = 0.1000000001e1_dp*t723*t5911
5305 t5918 = t140*t1504*t1722
5306 t5922 = 0.1111111112e0_dp*t4776*t515*t517
5307 t5925 = 0.8099999996e2_dp*t498*t4770*t4915
5308 t5926 = -0.5555555558e-1_dp*t192*t68*t5869*t65 - 0.1000000000e1_dp &
5309 *t5875 + t5880 + 0.3000000000e1_dp*t1748*t5881*t4940 - 0.1111111112e0_dp &
5310 *t5885 - 0.1000000000e1_dp*t5888 - t5891 + t5869*t65 + &
5311 0.666666666e0_dp*t1519*t722*t4729*t65 + (2*t5898) + t5902 &
5312 - t5905 + 0.1800000000e2_dp*t5908 - t5913 - 0.1111111112e0_dp*t516 &
5313 *t4898*t172 - 0.1000000000e1_dp*t5918 - t5922 + t5925
5314 t5929 = 0.2250000000e2_dp*t1740*t471*t4905
5315 t5932 = 0.1000000000e1_dp*t649*t266*t1722
5316 t5938 = t192*t728*t1505
5317 t5940 = t4918*t67
5318 t5942 = 0.1111111112e0_dp*t5940*t196
5319 t5944 = t1447*t722*t1722
5320 t5949 = 0.8999999998e1_dp*t1795*t4909
5321 t5952 = 0.9000000007e1_dp*t1763*t5881*t4940
5322 t5954 = 0.8999999998e1_dp*t1741*t4909
5323 t5956 = t471*t4701*t65
5324 t5958 = 0.1000000000e1_dp*t1766*t5956
5325 t5960 = 0.5555555558e-1_dp*t5940*t200
5326 t5963 = 0.1000000000e1_dp*t379*t471*t4904
5327 t5964 = t1715*t1525
5328 t5966 = t1785*t1790
5329 t5971 = 0.4500000000e1_dp*t379*t1141*t4701*t4940
5330 t5973 = 0.5555555558e-1_dp*t4943*t531
5331 t5975 = t5226*t266*t65
5332 t5977 = 0.1111111112e0_dp*t1755*t729
5333 t5978 = -t5929 - t5932 + 0.3333333334e0_dp*t1519*t187*t4729*t65 &
5334 - 0.1111111112e0_dp*t5938 - t5942 - 0.2000000002e1_dp*t5944 - 0.5555555558e-1_dp &
5335 *t503*t4955 + t5949 - t5952 + t5954 + t5958 - t5960 &
5336 + t5963 - 0.1111111112e0_dp*t5964 - 0.2222222224e0_dp*t5966 - t5971 &
5337 - t5973 + t5975 - t5977
5338 t5985 = 0.5000000001e0_dp*t1774*t4908
5339 t5990 = t177*t4729*t65
5340 t5994 = 0.5000000001e0_dp*t1766*t5990
5341 t5996 = 0.3703703705e-1_dp*t4943*t527
5342 t6000 = 0.9000000007e1_dp*t5262*t266*t4701*t4940
5343 t6002 = 0.1851851853e0_dp*t4943*t512
5344 t6004 = t1709*t178*t710
5345 t6006 = t719*t1838
5346 t6009 = 0.5000000001e0_dp*t1777*t4908
5347 t6017 = 0.5000000001e0_dp*t732*t5911
5348 t6019 = 0.7407407410e-1_dp*t719*t1726
5349 t6021 = t649*t1518*t1722
5350 t6023 = t5251*t67
5351 t6025 = 0.3703703705e-1_dp*t6023*t271
5352 t6029 = 0.5999999993e1_dp*t4946*t722*t4701*t4940 - t5985 - 0.5555555558e-1_dp &
5353 *t192*t199*t4898 + 0.3333333334e0_dp*t1748*t5990 &
5354 - t5994 + t5996 - t6000 + t6002 + 0.1800000000e2_dp*t6004 - 0.1111111112e0_dp &
5355 *t6006 - t6009 + 0.3000000000e1_dp*t4946*t187*t4701 &
5356 *t4940 - 0.6666666668e0_dp*t1748*t5956 - t6017 + t6019 + 0.6666666668e0_dp &
5357 *t6021 + t6025 - 0.5555555558e-1_dp*t58*t5613*t71
5358 t6031 = 0.5000000001e0_dp*t1720*t5990
5359 t6033 = 0.1000000000e1_dp*t5244*t1712
5360 t6036 = 0.2250000000e2_dp*t498*t472*t4905
5361 t6040 = 0.5555555558e-1_dp*t6023*t275
5362 t6042 = 0.1000000001e1_dp*t1763*t5990
5363 t6044 = 0.2000000002e1_dp*t1763*t5956
5364 t6047 = 0.4500000000e1_dp*t1720*t5881*t4940
5365 t6049 = t1688*t177*t709
5366 t6052 = t1504*t561*t65
5367 t6053 = t732*t6052
5368 t6056 = 0.5555555558e-1_dp*t508*t5271
5369 t6058 = 0.1111111112e0_dp*t4943*t520
5370 t6060 = t1766*t5881*t4940
5371 t6063 = 0.1000000000e1_dp*t1720*t5956
5372 t6066 = t1519*t705*t561*t65
5373 t6074 = 0.8099999996e2_dp*t496*t4769*t1141*t4915
5374 t6075 = t723*t6052
5375 t6078 = 0.1111111112e0_dp*t719*t1782
5376 t6079 = -t6031 - t6033 - t6036 + t187*t4897*t65 - t6040 - t6042 &
5377 + t6044 - t6047 - 0.1000000000e1_dp*t6049 - 0.1000000000e1_dp*t6053 &
5378 - t6056 - t6058 - 0.4500000000e1_dp*t6060 + t6063 + 0.6666666668e0_dp &
5379 *t6066 - 0.1000000000e1_dp*t237*t705*t1722 + t6074 - 0.2000000002e1_dp &
5380 *t6075 - t6078
5381 t6087 = 0.1666666667e0_dp*t429*t1966*t1410
5382 t6090 = 0.3125000000e0_dp*t4025*t1247*t4790
5383 t6091 = 0.3333333334e0_dp*t5745 - t5749 - t5752 - t5756 + t5760 + 0.1666666667e0_dp &
5384 *t165*t56*t4958*t140 + t5767 + t5770 + t5773 + &
5385 t5776 + t5780 - t5783 + t5786 + t5789 + t5792 - t5795 - 0.4444444444e0_dp &
5386 *t5797 + 0.3333333334e0_dp*t55*t57*(t5926 + t5978 + t6029 &
5387 + t6079) - t6087 - t6090
5388 t6094 = 0.1250000000e0_dp*t1981*t1247*t4801
5389 t6099 = 0.1800000000e2_dp*t1971*t1972*t4729*t149*t160
5390 t6102 = 0.2500000000e0_dp*t1981*t4553*t1410
5391 t6106 = 0.3600000000e2_dp*t1971*t1972*t1973*t672
5392 t6109 = 0.1666666667e0_dp*t1246*t1962*t1865
5393 t6112 = 0.5555555556e-1_dp*t1246*t4553*t1483
5394 t6116 = 0.3600000000e2_dp*t1971*t471*t20*t5713
5395 t6119 = 0.1250000000e0_dp*t1368*t462*t4790
5396 t6123 = 0.1666666667e0_dp*t1246*t446*t1825*t561
5397 t6126 = 0.1800000000e2_dp*t658*t4764*t425
5398 t6129 = 0.8333333335e-1_dp*t429*t437*t5174
5399 t6132 = 0.1666666667e0_dp*t165*t462*t4853
5400 t6136 = 0.5555555557e-1_dp*t165*t171*t5122*t17
5401 t6138 = t429*t1928*t593
5402 t6141 = t658*t575*t1925
5403 t6144 = t445*t4512*t668
5404 t6155 = 0.2500000000e0_dp*t1981*t4032*t1410
5405 t6158 = 0.1666666667e0_dp*t429*t679*t1571
5406 t6160 = t147*t1885*t672
5407 t6162 = t6094 + t6099 + t6102 + t6106 - t6109 + t6112 - t6116 + t6119 &
5408 - t6123 + t6126 - t6129 + t6132 - t6136 - 0.1666666667e0_dp*t6138 &
5409 + 0.3600000000e2_dp*t6141 + 0.3333333334e0_dp*t6144 + 0.2e1_dp*t147 &
5410 *(t4881 - t4884 - t4887 + 0.9000000000e1_dp*t4889 - t4893 + 0.6000000000e1_dp &
5411 *t4895)*t149*t160 + t6155 - t6158 + (4*t6160)
5412 t6170 = 0.3333333336e0_dp*t289*t597*t1571
5413 t6173 = 0.3333333336e0_dp*t55*t5295*t140
5414 t6175 = t83*t597*t1688
5415 t6179 = 0.3333333336e0_dp*t165*t3865*t561
5416 t6181 = t289*t1564*t593
5417 t6185 = 0.3333333336e0_dp*t289*t597*t1553
5418 t6186 = -0.3333333336e0_dp*t5347 - t5351 - t5354 - t5357 - t5360 - 0.2222222224e0_dp &
5419 *t144*t46*(t5423 + t5742 + t6091 + t6162) - t6170 &
5420 - t6173 - 0.6666666672e0_dp*t6175 - t6179 - 0.3333333336e0_dp*t6181 &
5421 - t6185
5422 t6189 = 0.8333333340e-1_dp*t906*t294*t5163
5423 t6192 = 0.3333333336e0_dp*t83*t294*t5122
5424 t6194 = t83*t3875*t561
5425 t6198 = 0.3333333336e0_dp*t289*t294*t5170
5426 t6201 = 0.3333333336e0_dp*t289*t597*t1557
5427 t6207 = 0.1666666668e0_dp*t1546*t897*t4797
5428 t6210 = 0.1666666668e0_dp*t289*t294*t5174
5429 t6213 = 0.3333333336e0_dp*t55*t84*t5122
5430 t6216 = 0.8333333340e-1_dp*t429*t897*t4701
5431 t6219 = 0.8333333340e-1_dp*t906*t384*t4790
5432 t6222 = 0.8333333340e-1_dp*t1546*t897*t4801
5433 t6223 = t6189 - t6192 - 0.6666666672e0_dp*t6194 - t6198 - t6201 - 0.3333333336e0_dp &
5434 *t83*t84*t5613 + t6207 - t6210 - t6213 + t6216 + &
5435 t6219 + t6222
5436 t6227 = -t4704 - t4707 - t4732 - t4789 + t4793 - t4796 - t4800 - t4804 &
5437 - t4808 - t4812 - t4857 - t4861 - 0.1333333334e1_dp*t4864 - t4869 &
5438 - 0.4444444448e0_dp*t43*t46*t5036 + t8*(t5305 + t5343 + t6186 &
5439 + t6223)
5440 e_ndrho_ndrho_rho_spin(ii) = e_ndrho_ndrho_rho_spin(ii) + t6227*sx
5441 t6247 = t4769*t2992
5442 t6249 = t4772*t2027
5443 t6252 = t56*t4701
5444 t6253 = t6252*t526
5445 t6256 = t56*t4729
5446 t6257 = t6256*t526
5447 t6260 = t4743*t526
5448 t6263 = t20*t4853
5449 t6267 = t26*t1447
5450 t6268 = t6267*t709
5451 t6271 = t4764*t2027
5452 t6281 = -0.1620000000e3_dp*t6247*t4733*t6249 - 0.1200000000e2_dp* &
5453 t473*t6253 + 0.5999999999e1_dp*t478*t6257 + 0.5399999998e2_dp*t4771 &
5454 *t6260 + 0.8999999998e1_dp*t478*t6263*t65 + 0.8099999996e2_dp &
5455 *t4771*t6268 - 0.1800000000e2_dp*t473*t6271 - 0.4050000000e2_dp &
5456 *t473*t575*t2095 - 0.5000000001e0_dp*t60*t4853*t65 + 0.8999999998e1_dp &
5457 *t4901 - t4907 + t4911
5458 t6283 = t4701*t1518
5459 t6290 = t4917 - t4920 + 0.5000000001e0_dp*t4922 + t4925 + 0.3333333334e0_dp &
5460 *t6283*t177*t65 - 0.5000000001e0_dp*t4929 - t4932 - t4935 &
5461 + 0.5850000000e2_dp*t4941 + t4945 - t4951 - 0.5555555558e-1_dp*t4952
5462 t6291 = t6281 + t6290
5463 t6308 = 0.4050000000e2_dp*t4734*t4736*t2821*t18*t4739*t237 &
5464 - 0.1125000000e2_dp*t2013*t1300*t19*t4790 - t5028 - t5022 + &
5465 0.1500000000e1_dp*t2013*t398*t68*t5002 + 0.3333333334e0_dp*t55 &
5466 *t57*t6291 + t5019 - 0.3000000000e1_dp*t566*t1885*t569 - t5016 &
5467 - 0.9000000000e1_dp*t4734*t4736*t1300*t4701*t149*t17 &
5468 + t5032 + 0.1666666667e0_dp*t165*t2088*t561 - 0.5555555557e-1_dp* &
5469 t5011 + t5001
5470 t6338 = 0.1666666667e0_dp*t4874 - t5025 - 0.2700000000e2_dp*t4734*t392 &
5471 *t4736*t1300*rho*t5002*t149 - 0.3000000000e1_dp*t2009 &
5472 *t4748 - 0.2700000000e2_dp*t4738*t18*t1973*t1447 - t5008 - &
5473 0.3000000000e1_dp*t567*t151*t19*t4853 + t5035 - 0.1000000000e1_dp &
5474 *t2013*t2018*t5009 + 0.9000000000e1_dp*t2013*t2014*t4797 &
5475 - t4872 + 0.4500000000e1_dp*t2013*t2014*t4801 + t4878 + t5005 &
5476 + 0.4500000000e1_dp*t2009*t4744
5477 t6339 = t6308 + t6338
5478 t6344 = -t5043 - t5047 - t5050 - t5126 - t5284 - t5291 + t5294 - t5298 &
5479 - t5301 - 0.3333333336e0_dp*t5303 - t5308 - t5311 - t5314
5480 t6352 = t5440 - t5443 - t5446 - t5449 - t5451 - t5454 + 0.40e1_dp*t102 &
5481 *t327*t2057*t557 - t5456 + t5459 - t5462 + t5466 - t5468
5482 t6363 = t5480 - t5482 - t5484 + t5487 - t5489 + t5492 + t5494 - 0.9600000000e2_dp &
5483 *t5496 + t5499 - t5503 - t5507 + t5509 - 0.2400000000e2_dp &
5484 *t5511 - 0.960e2_dp*t5115*t1060 - 0.240e2_dp*t2054*t3674 + 0.1200e3_dp &
5485 *t1054*t640*t3679
5486 t6367 = t5472 - t5474 - t5478 - t5523 + t5525 + 0.40e1_dp*t5528 + t5531 &
5487 + t5533 + t5535 + t5537 - 0.20e1_dp*t102*t105*t6363 + t5540
5488 t6370 = t5545 - t5548 + t5551 + t5553 - t5558 + t5560 - t5562 + t5564 &
5489 - 0.40e1_dp*t5565 + t5568 + t5572 + t5574
5490 t6373 = t5579 - t5581 - 0.40e1_dp*t112*t2058 - t5585 + t5590 - t5593 &
5491 - t5595 + t5597 - t5600 - t5602 + t5604 + t5607 + t5610
5492 t6375 = t6352 + t6367 + t6370 + t6373
5493 t6380 = -t5317 - t5320 + t5323 - t5326 - t5329 - 0.3333333336e0_dp*t83 &
5494 *t597*t2061 - 0.3333333336e0_dp*t83*t84*t6375 + t5333 - t5335 &
5495 - t5338 - t5342 - 0.1666666668e0_dp*t5347 - t5351
5496 t6389 = -t5354 - t5357 - 0.3333333336e0_dp*t83*t45*t2139*t561 &
5497 - t5360 - t6170 - t6173 - 0.3333333336e0_dp*t6175 - t6179 - 0.1666666668e0_dp &
5498 *t6181 - t6185 + t6189 - t6192 - 0.3333333336e0_dp*t6194
5499 t6400 = t2061*t561
5500 t6415 = -t5363 + t5367 - t5370 + 0.1111111112e0_dp*t5373 - 0.5555555557e-1_dp &
5501 *t5376 + 0.1666666667e0_dp*t5379 - t5383 - t5386 - t5389 + &
5502 0.1200000000e2_dp*t658*t2031*t673*t17 + 0.3333333334e0_dp*t170 &
5503 *t27*t6291*t172 - t5397
5504 t6428 = t5635 - t5638 + t5641 + 0.2250000000e1_dp*t5643 - t5647 - 0.1500000000e1_dp &
5505 *t151*t50*t6375 - t5650 + t5653 - t5657 - t5660 &
5506 + t5663 - t5666
5507 t6433 = t5670 - t5673 + t5676 - t5679 + t5682 + t5686 - t5689 + t5692 &
5508 + t5695 + 0.2250000000e1_dp*t400*t19*t2061*t561 + t5698 - &
5509 t5701
5510 t6442 = t5400 + 0.1666666667e0_dp*t5402 - t5406 + 0.1666666667e0_dp*t165 &
5511 *t56*t2131*t561 + 0.1666666667e0_dp*t165*t679*t2061 + &
5512 (2*t147*t149*(t6428 + t6433)) - t5409 - t5412 - t5415 + &
5513 t5418 + 0.1800000000e2_dp*t658*t575*t2074 + 0.1800000000e2_dp*t5421
5514 t6451 = -t5426 + t5429 - 0.2222222223e0_dp*t5432 + t5436 + 0.1620000000e3_dp &
5515 *t4995*t6267*t1974 + 0.1666666667e0_dp*t165*t2088*t649 &
5516 + t5619 + t5622 - t5625 - t5628 + t5631 + t5716
5517 t6461 = t5719 - t5722 - 0.8333333335e-1_dp*t5724 + 0.1200000000e2_dp* &
5518 t658*t6256*t2077 - 0.3240000000e3_dp*t4994*t6247*t4772*t2082 &
5519 + t5728 + t5731 - t5734 - t5738 + t5741 + 0.1666666667e0_dp*t5745 &
5520 - t5749
5521 t6479 = -t5752 + 0.1666666667e0_dp*t445*t2042*rho*t668 - t5756 &
5522 - 0.3600000000e2_dp*t2081*t575*t673*t237 + 0.1800000000e2_dp* &
5523 t658*t6263*t161 + t5760 + t5767 + t5770 - 0.7200000000e2_dp*t2081 &
5524 *t575*t161*t1447 + t5773 + t5776 + t5780
5525 t6490 = -t5783 - 0.3600000000e2_dp*t2081*t4764*t2082 - 0.2400000000e2_dp &
5526 *t2081*t6252*t2077 + t5786 + t5789 + t5792 - t5795 - 0.4444444445e0_dp &
5527 *t5797 - t6087 - 0.8333333335e-1_dp*t429*t166*t6400 &
5528 - t6090 + t6094
5529 t6499 = t6099 + 0.1666666667e0_dp*t165*t166*t6375 + t6102 + 0.1666666667e0_dp &
5530 *t165*t56*t6291*t140 + t6106 - t6109 + t6112 - t6116 &
5531 + t6119 - t6123 + t6126 - t6129
5532 t6509 = t4853*t65
5533 t6529 = 0.4999999999e0_dp*t5875 - 0.5000000001e0_dp*t5244*t2095 - 0.5000000001e0_dp &
5534 *t732*t6509 + t5880 + 0.1000000000e1_dp*t649*t471 &
5535 *t2099 - 0.1620000000e3_dp*t5247*t2992*t4733*t6249 - 0.5555555558e-1_dp &
5536 *t5885 + 0.8999999998e1_dp*t140*t2992*t4701*t59* &
5537 t62*t2027 - 0.5000000001e0_dp*t5888 - t5891 - 0.1800000000e2_dp*t2118 &
5538 *t6271
5539 t6539 = t5898 + t5902 - t5905 + 0.8999999998e1_dp*t5908 - t5913 + 0.2000000000e1_dp &
5540 *t2098*t2095*t561 - 0.5000000001e0_dp*t5918 - t5922 &
5541 + 0.3333333334e0_dp*t6283*t187*t177*t65 + t5925 - t5929
5542 t6554 = -t5932 - 0.5555555558e-1_dp*t5938 + 0.666666666e0_dp*t6283* &
5543 t722*t177*t65 - t5942 + 0.8999999998e1_dp*t2124*t59*t177* &
5544 t710 + 0.1000000001e1_dp*t5944 - 0.5000000001e0_dp*t2061*t177*t709 &
5545 + t5949 + t5952 + t5954 - t5958
5546 t6557 = t1447*t59
5547 t6569 = -t5960 - 0.5000000001e0_dp*t5237*t2095 + t5963 - 0.4500000000e1_dp &
5548 *t5256*t6557*t710 - 0.5555555558e-1_dp*t5964 - 0.1111111112e0_dp &
5549 *t5966 - t5971 - 0.1200000000e2_dp*t2118*t6253 - 0.5555555558e-1_dp &
5550 *t719*t2126 - t5973 + t5975 + 0.5999999999e1_dp*t2114*t6257
5551 t6583 = -t5977 - t5985 + t5994 - 0.5000000001e0_dp*t716*t6509 + t5996 &
5552 - t6000 + t6002 + 0.8999999998e1_dp*t6004 + 0.1000000000e1_dp*t2098 &
5553 *t4908*t237 - 0.1000000001e1_dp*t723*t6509 - 0.1800000000e2_dp &
5554 *t5228*t2117*t2028
5555 t6596 = t5247*t1141*t4733
5556 t6603 = -0.5555555558e-1_dp*t6006 - t6009 - t6017 - 0.5555555558e-1_dp &
5557 *t58*t6375*t71 + t6019 - 0.9000000007e1_dp*t5262*t6557*t710 &
5558 + 0.8999999998e1_dp*t708*t62*t6509 + 0.3333333334e0_dp*t6021 + &
5559 t6025 + 0.8099999996e2_dp*t6596*t6268 + 0.5399999998e2_dp*t6596* &
5560 t6260 + 0.8999999998e1_dp*t5229*t2104
5561 t6611 = t5801 - t5804 - t5807 + t5810 - t5813 + t5816 - t5819 - t5822 &
5562 - t5825 - t5828 - t5830 + t5833
5563 t6620 = t5835 + t5838 + t5841 - t5845 + t5848 - 0.1800000000e2_dp*t5850 &
5564 - t5854 + t5857 + t5861 - t5864 - 0.1800000000e2_dp*t473*t20 &
5565 *t2061*t561 + 0.8999999998e1_dp*t178*t62*t6375
5566 t6621 = t6611 + t6620
5567 t6630 = -0.3000000000e1_dp*t5256*t4904*t237 + 0.5999999999e1_dp*t5228 &
5568 *t2113*t2032 + t6621*t65 - t6031 - 0.4050000000e2_dp*t471 &
5569 *t187*t6557*t710 - t6033 - t6036 - t6040 + t6042 - 0.5000000001e0_dp &
5570 *t60*t2124*t709 - t6044
5571 t6640 = -t6047 - 0.5000000001e0_dp*t6049 - 0.5555555558e-1_dp*t192* &
5572 t68*t6621*t65 - 0.5000000001e0_dp*t6053 - t6056 - t6058 + 0.5850000000e2_dp &
5573 *t6060 + t6063 + 0.3333333334e0_dp*t6066 + t6074 - 0.1000000001e1_dp &
5574 *t6075 - t6078
5575 t6658 = 0.1800000000e2_dp*t658*t2035*t673 - 0.8333333335e-1_dp*t429 &
5576 *t2088*t593 + t6132 + 0.3333333334e0_dp*t55*t57*(t6529 + &
5577 t6539 + t6554 + t6569 + t6583 + t6603 + t6630 + t6640) - t6136 - 0.8333333335e-1_dp &
5578 *t6138 + 0.1800000000e2_dp*t6141 + 0.1080000000e3_dp* &
5579 t4995*t4743*t2077 + 0.1080000000e3_dp*t657*t1142*t4760*t2082 &
5580 + 0.1666666667e0_dp*t6144 + t6155 - t6158 + (2*t6160)
5581 t6665 = -0.3333333336e0_dp*t83*t45*t6339*t140 - t6198 - 0.3333333336e0_dp &
5582 *t83*t2050*t649 - t6201 + t6207 - t6210 - t6213 + t6216 &
5583 + t6219 - 0.1666666668e0_dp*t289*t2050*t593 - 0.1666666668e0_dp &
5584 *t289*t84*t6400 + t6222 - 0.2222222224e0_dp*t144*t46*(t6415 &
5585 + t6442 + t6451 + t6461 + t6479 + t6490 + t6499 + t6658)
5586 t6669 = -t4704 - t4707 - t4732 + t4793 - t4796 - t4800 - t4804 - t4861 &
5587 - 0.6666666672e0_dp*t4864 - t4869 - t4812 - t4857 - t4789 - t4808 &
5588 - 0.6666666672e0_dp*t217*t46*t2046*t561 - 0.4444444448e0_dp* &
5589 t43*t46*t6339 + t8*(t6344 + t6380 + t6389 + t6665)
5590 e_ndrho_ndrho_ndrho_spin(ii) = e_ndrho_ndrho_ndrho_spin(ii) + t6669*sx
5591 END IF
5592 END IF
5593 END DO
5594!$OMP END DO
5595
5596 END SUBROUTINE xb88_lr_adiabatic_lsd_calc
5597
5598END MODULE xc_xbecke88_lr_adiabatic
bibliography
collects all references to literature in CP2K as new algorithms / method are included from literature...
Definition bibliography.F:21
bibliography::becke1988
integer, save, public becke1988
Definition bibliography.F:36
cp_array_utils
various utilities that regard array of different kinds: output, allocation,... maybe it is not a good...
Definition cp_array_utils.F:18
input_section_types
objects that represent the structure of input sections and the data contained in an input section
Definition input_section_types.F:15
input_section_types::section_vals_val_get
subroutine, public section_vals_val_get(section_vals, keyword_name, i_rep_section, i_rep_val, n_rep_val, val, l_val, i_val, r_val, c_val, l_vals, i_vals, r_vals, c_vals, explicit)
returns the requested value
Definition input_section_types.F:1052
kinds
Defines the basic variable types.
Definition kinds.F:23
kinds::dp
integer, parameter, public dp
Definition kinds.F:34
mathconstants
Definition of mathematical constants and functions.
Definition mathconstants.F:16
mathconstants::pi
real(kind=dp), parameter, public pi
Definition mathconstants.F:110
mathconstants::rootpi
real(kind=dp), parameter, public rootpi
Definition mathconstants.F:114
xc_derivative_desc
Module with functions to handle derivative descriptors. derivative description are strings have the f...
Definition xc_derivative_desc.F:26
xc_derivative_desc::deriv_norm_drho
integer, parameter, public deriv_norm_drho
Definition xc_derivative_desc.F:35
xc_derivative_desc::deriv_norm_drhoa
integer, parameter, public deriv_norm_drhoa
Definition xc_derivative_desc.F:35
xc_derivative_desc::deriv_rhob
integer, parameter, public deriv_rhob
Definition xc_derivative_desc.F:35
xc_derivative_desc::deriv_rhoa
integer, parameter, public deriv_rhoa
Definition xc_derivative_desc.F:35
xc_derivative_desc::deriv_rho
integer, parameter, public deriv_rho
Definition xc_derivative_desc.F:35
xc_derivative_desc::deriv_norm_drhob
integer, parameter, public deriv_norm_drhob
Definition xc_derivative_desc.F:35
xc_derivative_set_types
represent a group ofunctional derivatives
Definition xc_derivative_set_types.F:14
xc_derivative_set_types::xc_dset_get_derivative
type(xc_derivative_type) function, pointer, public xc_dset_get_derivative(derivative_set, description, allocate_deriv)
returns the requested xc_derivative
Definition xc_derivative_set_types.F:65
xc_derivative_types
Provides types for the management of the xc-functionals and their derivatives.
Definition xc_derivative_types.F:12
xc_derivative_types::xc_derivative_get
subroutine, public xc_derivative_get(deriv, split_desc, order, deriv_data, accept_null_data)
returns various information on the given derivative
Definition xc_derivative_types.F:103
xc_rho_cflags_types
contains the structure
Definition xc_rho_cflags_types.F:14
xc_rho_set_types
contains the structure
Definition xc_rho_set_types.F:14
xc_rho_set_types::xc_rho_set_get
subroutine, public xc_rho_set_get(rho_set, can_return_null, rho, drho, norm_drho, rhoa, rhob, norm_drhoa, norm_drhob, rho_1_3, rhoa_1_3, rhob_1_3, laplace_rho, laplace_rhoa, laplace_rhob, drhoa, drhob, rho_cutoff, drho_cutoff, tau_cutoff, tau, tau_a, tau_b, local_bounds)
returns the various attributes of rho_set
Definition xc_rho_set_types.F:281
xc_xbecke88_lr_adiabatic
Calculates the density_scaled BECKE88 long-range functional when used in adiabatic hybrids....
Definition xc_xbecke88_lr_adiabatic.F:20
xc_xbecke88_lr_adiabatic::xb88_lr_adiabatic_lda_eval
subroutine, public xb88_lr_adiabatic_lda_eval(rho_set, deriv_set, grad_deriv, xb88_lr_ad_params)
evaluates the becke 88 longrange exchange functional for lda
Definition xc_xbecke88_lr_adiabatic.F:128
xc_xbecke88_lr_adiabatic::xb88_lr_adiabatic_lda_info
subroutine, public xb88_lr_adiabatic_lda_info(reference, shortform, needs, max_deriv)
return various information on the functional
Definition xc_xbecke88_lr_adiabatic.F:67
xc_xbecke88_lr_adiabatic::xb88_lr_adiabatic_lsd_eval
subroutine, public xb88_lr_adiabatic_lsd_eval(rho_set, deriv_set, grad_deriv, xb88_lr_ad_params)
evaluates the becke 88 longrange exchange functional for lsd
Definition xc_xbecke88_lr_adiabatic.F:2844
xc_xbecke88_lr_adiabatic::xb88_lr_adiabatic_lsd_info
subroutine, public xb88_lr_adiabatic_lsd_info(reference, shortform, needs, max_deriv)
return various information on the functional
Definition xc_xbecke88_lr_adiabatic.F:97
cp_array_utils::cp_3d_r_cp_type
represent a pointer to a contiguous 3d array
Definition cp_array_utils.F:149
input_section_types::section_vals_type
stores the values of a section
Definition input_section_types.F:127
xc_derivative_set_types::xc_derivative_set_type
A derivative set contains the different derivatives of a xc-functional in form of a linked list.
Definition xc_derivative_set_types.F:48
xc_derivative_types::xc_derivative_type
represent a derivative of a functional
Definition xc_derivative_types.F:32
xc_rho_cflags_types::xc_rho_cflags_type
contains a flag for each component of xc_rho_set, so that you can use it to tell which components you...
Definition xc_rho_cflags_types.F:48
xc_rho_set_types::xc_rho_set_type
represent a density, with all the representation and data needed to perform a functional evaluation
Definition xc_rho_set_types.F:78