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/* -*- c++ -*- (enables emacs c++ mode) */
/*===========================================================================
 
 Copyright (C) 2004-2012 Julien Pommier
 
 This file is a part of GETFEM++
 
 Getfem++  is  free software;  you  can  redistribute  it  and/or modify it
 under  the  terms  of the  GNU  Lesser General Public License as published
 by  the  Free Software Foundation;  either version 3 of the License,  or
 (at your option) any later version along with the GCC Runtime Library
 Exception either version 3.1 or (at your option) any later version.
 This program  is  distributed  in  the  hope  that it will be useful,  but
 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
 or  FITNESS  FOR  A PARTICULAR PURPOSE.  See the GNU Lesser General Public
 License and GCC Runtime Library Exception for more details.
 You  should  have received a copy of the GNU Lesser General Public License
 along  with  this program;  if not, write to the Free Software Foundation,
 Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301, USA.
 
 As a special exception, you  may use  this file  as it is a part of a free
 software  library  without  restriction.  Specifically,  if   other  files
 instantiate  templates  or  use macros or inline functions from this file,
 or  you compile this  file  and  link  it  with other files  to produce an
 executable, this file  does  not  by itself cause the resulting executable
 to be covered  by the GNU Lesser General Public License.  This   exception
 does not  however  invalidate  any  other  reasons why the executable file
 might be covered by the GNU Lesser General Public License.
 
===========================================================================*/

/**@file getfem_gauss_lobatto_fem_coef.h
   @author  Julien Pommier <Julien.Pommier@insa-toulouse.fr>
   @date February 2004.
   @brief data for FEM_PK_GAUSSLOBATTO1D
 */
static const double fem_coef_gausslob_1[4] =
  { 1.000000000000000e+00, -1.000000000000000e+00, 0.000000000000000e-01,
1.000000000000000e+00, };

static const double fem_coef_gausslob_2[9] =
  { 1.000000000000000e+00, -3.000000000000000e+00, 2.000000000000000e+00,
0.000000000000000e-01, 4.000000000000000e+00, -4.000000000000000e+00, 0.000000000000000e-01, -1.000000000000000e+00,
2.000000000000000e+00, };

static const double fem_coef_gausslob_3[16] =
  { 1.000000000000000e+00, -6.000000000000000e+00, 1.000000000000000e+01,
-5.000000000000000e+00, 0.000000000000000e-01, 8.090169943749474e+00, -1.927050983124842e+01, 1.118033988749895e+01,
0.000000000000000e-01, -3.090169943749474e+00, 1.427050983124842e+01, -1.118033988749895e+01, 0.000000000000000e-01,
1.000000000000000e+00, -5.000000000000000e+00, 5.000000000000000e+00, };

static const double fem_coef_gausslob_4[25] =
  { 1.000000000000000e+00, -1.000000000000000e+01, 3.000000000000000e+01,
-3.500000000000000e+01, 1.400000000000000e+01, 0.000000000000000e-01, 1.351300497744848e+01, -5.687234826567877e+01,
7.602600995489696e+01, -3.266666666666667e+01, 0.000000000000000e-01, -5.333333333333333e+00, 4.266666666666667e+01,
-7.466666666666667e+01, 3.733333333333333e+01, 0.000000000000000e-01, 2.820328355884853e+00, -2.479431840098789e+01,
5.464065671176971e+01, -3.266666666666667e+01, 0.000000000000000e-01, -1.000000000000000e+00, 9.000000000000000e+00,
-2.100000000000000e+01, 1.400000000000000e+01, };

static const double fem_coef_gausslob_5[36] =
  { 1.000000000000000e+00, -1.500000000000000e+01, 7.000000000000000e+01,
-1.400000000000000e+02, 1.260000000000000e+02, -4.200000000000000e+01, 0.000000000000000e-01, 2.028283187263934e+01,
-1.315819844629968e+02, 2.996878573260126e+02, -2.884609153819731e+02, 1.000722106463179e+02, 0.000000000000000e-01,
-8.072374540610696e+00, 9.849823568607377e+01, -2.894574355386068e+02, 3.201990314777874e+02, -1.211674570846437e+02,
0.000000000000000e-01, 4.489369296352334e+00, -6.035445290945900e+01, 2.203358804738940e+02, -2.856382539454310e+02,
1.211674570846437e+02, 0.000000000000000e-01, -2.699826628380976e+00, 3.743820168638206e+01, -1.465663022612998e+02,
2.119001378496167e+02, -1.000722106463179e+02, 0.000000000000000e-01, 1.000000000000000e+00, -1.400000000000000e+01,
5.600000000000000e+01, -8.400000000000000e+01, 4.200000000000000e+01, };

static const double fem_coef_gausslob_6[49] =
  { 1.000000000000000e+00, -2.100000000000000e+01, 1.400000000000000e+02,
-4.200000000000000e+02, 6.300000000000000e+02, -4.620000000000000e+02, 1.320000000000000e+02, 0.000000000000000e-01,
2.840315320583963e+01, -2.618707992013254e+02, 8.915455952644434e+02, -1.426720320066430e+03, 1.086906031987037e+03,
-3.182636611895653e+02, 0.000000000000000e-01, -1.133797045109102e+01, 1.954053162272040e+02, -8.515354909154440e+02,
1.555570646517052e+03, -1.285566162567286e+03, 3.974636611895653e+02, 0.000000000000000e-01, 6.400000000000000e+00,
-1.216000000000000e+02, 6.528000000000000e+02, -1.382400000000000e+03, 1.267200000000000e+03, -4.224000000000000e+02,
0.000000000000000e-01, -4.099929626153486e+00, 8.051601475380118e+01, -4.643586932712080e+02, 1.089694751524101e+03,
-1.099215804570106e+03, 3.974636611895653e+02, 0.000000000000000e-01, 2.634746871404869e+00, -5.245053177967978e+01,
3.115485889222086e+02, -7.661450779747230e+02, 8.226759351503546e+02, -3.182636611895653e+02, 0.000000000000000e-01,
-1.000000000000000e+00, 2.000000000000000e+01, -1.200000000000000e+02, 3.000000000000000e+02, -3.300000000000000e+02,
1.320000000000000e+02, };

static const double fem_coef_gausslob_7[64] =
  { 1.000000000000000e+00, -2.800000000000000e+01, 2.520000000000000e+02,
-1.050000000000000e+03, 2.310000000000000e+03, -2.772000000000000e+03, 1.716000000000000e+03, -4.290000000000000e+02,
0.000000000000000e-01, 3.787519721423474e+01, -4.699045385400572e+02, 2.217166528901653e+03, -5.195916436930171e+03,
6.469992588404291e+03, -4.101225846986446e+03, 1.042012507936495e+03, 0.000000000000000e-01, -1.513857963869697e+01,
3.497259983590744e+02, -2.101837798737552e+03, 5.599947843186200e+03, -7.539551580657127e+03, 5.032695631593761e+03,
-1.325841514105659e+03, 0.000000000000000e-01, 8.595816328530350e+00, -2.189405837038675e+02, 1.612357003153179e+03,
-4.947308401212060e+03, 7.342604827965170e+03, -5.255204822337236e+03, 1.457896159806284e+03, 0.000000000000000e-01,
-5.620377978515898e+00, 1.480753190084385e+02, -1.171440824431867e+03, 3.964008996775197e+03, -6.427195249873722e+03,
4.950068296306753e+03, -1.457896159806284e+03, 0.000000000000000e-01, 3.883318851088245e+00, -1.038534676200790e+02,
8.481025943868683e+02, -3.011828579891082e+03, 5.186049587313396e+03, -4.248194967145850e+03, 1.325841514105659e+03,
0.000000000000000e-01, -2.595374776640464e+00, 6.989727249649080e+01, -5.793475032722815e+02, 2.106096578071916e+03,
-3.744900173152008e+03, 3.192861708569018e+03, -1.042012507936495e+03, 0.000000000000000e-01, 1.000000000000000e+00,
-2.700000000000000e+01, 2.250000000000000e+02, -8.250000000000000e+02, 1.485000000000000e+03, -1.287000000000000e+03,
4.290000000000000e+02, };

static const double fem_coef_gausslob_8[81] =
  { 1.000000000000000e+00, -3.600000000000000e+01, 4.200000000000000e+02,
-2.310000000000000e+03, 6.930000000000000e+03, -1.201200000000000e+04, 1.201200000000000e+04, -6.435000000000000e+03,
1.430000000000000e+03, 0.000000000000000e-01, 4.869949034318613e+01, -7.815432549965997e+02, 4.860656931912704e+03,
-1.551737634456316e+04, 2.788918324236022e+04, -2.854121637661796e+04, 1.553203650368708e+04, -3.490440192125469e+03,
0.000000000000000e-01, -1.947740331442309e+01, 5.805138088476765e+02, -4.583922431826645e+03, 1.659300238583299e+04,
-3.217606831061953e+04, 3.461498040096808e+04, -1.950464316590829e+04, 4.495614716020147e+03, 0.000000000000000e-01,
1.108992781389876e+01, -3.644117397881921e+02, 3.513408770397022e+03, -1.458458798126453e+04, 3.105326914181443e+04,
-3.569574046476449e+04, 2.111700401254369e+04, -5.050031666751820e+03, 0.000000000000000e-01, -7.314285714285714e+00,
2.486857142857143e+02, -2.574628571428571e+03, 1.174674285714286e+04, -2.719451428571429e+04, 3.347017142857143e+04,
-2.091885714285714e+04, 5.229714285714286e+03, 0.000000000000000e-01, 5.181491353118710e+00, -1.789312751409961e+02,
1.913693930879634e+03, -9.161425477258226e+03, 2.246586272145708e+04, -2.927759904600966e+04, 1.928324932147088e+04,
-5.050031666751820e+03, 0.000000000000000e-01, -3.748881746893966e+00, 1.304893011815078e+02, -1.418925315009559e+03,
6.967886161876575e+03, -1.767073170824305e+04, 2.395969028817416e+04, -1.646027456225289e+04, 4.495614716020147e+03,
0.000000000000000e-01, 2.569661265399177e+00, -8.980255438911062e+01, 9.847166850754155e+02, -4.899241601766511e+03,
1.264999919894514e+04, -1.754928623032154e+04, 1.239148503331668e+04, -3.490440192125469e+03, 0.000000000000000e-01,
-1.000000000000000e+00, 3.500000000000000e+01, -3.850000000000000e+02, 1.925000000000000e+03, -5.005000000000000e+03,
7.007000000000000e+03, -5.005000000000000e+03, 1.430000000000000e+03, };

static const double fem_coef_gausslob_9[100] =
  { 1.000000000000000e+00, -4.500000000000000e+01, 6.600000000000000e+02,
-4.620000000000000e+03, 1.801800000000000e+04, -4.204200000000000e+04, 6.006000000000000e+04, -5.148000000000000e+04,
2.431000000000000e+04, -4.862000000000000e+03, 0.000000000000000e-01, 6.087629005856384e+01, -1.226341297551814e+03,
9.697405499616728e+03, -4.021760400071670e+04, 9.725280603247945e+04, -1.421240159771644e+05, 1.237105621496494e+05,
-5.906188663911807e+04, 1.190819794274692e+04, 0.000000000000000e-01, -2.435589341485964e+01, 9.095415690555422e+02,
-9.111255870205338e+03, 4.276661412893713e+04, -1.114146601604227e+05, 1.709573510663859e+05, -1.539309822784481e+05,
7.531473186776967e+04, -1.546698442965720e+04, 0.000000000000000e-01, 1.388757697026791e+01, -5.717395054991898e+02,
6.975542885191629e+03, -3.743822964286359e+04, 1.068054892026842e+05, -1.747039036097183e+05, 1.648204809285228e+05,
-8.352714678107793e+04, 1.762561894579012e+04, 0.000000000000000e-01, -9.198709522206266e+00, 3.919017281073292e+02,
-5.132147808492991e+03, 3.020136030457121e+04, -9.337958558844686e+04, 1.629937209113228e+05, -1.619399017586618e+05,
8.553993533073839e+04, -1.866608440961585e+04, 0.000000000000000e-01, 6.589286067498368e+00, -2.852085019651226e+02,
3.859417687766574e+03, -2.381847798089535e+04, 7.784545414265617e+04, -1.434184925463668e+05, 1.495994578589254e+05,
-8.245482435580428e+04, 1.866608440961585e+04, 0.000000000000000e-01, -4.905768350885374e+00, 2.141208512030290e+02,
-2.948048350518040e+03, 1.867520721718195e+04, -6.311993447254502e+04, 1.208313444661297e+05, -1.311255887283438e+05,
7.510342373103317e+04, -1.762561894579012e+04, 0.000000000000000e-01, 3.659127863806492e+00, -1.604518938956052e+02,
2.230466872754075e+03, -1.433960781600324e+04, 4.943623515122416e+04, -9.697372467640532e+04, 1.082245668039501e+05,
-6.388812799914516e+04, 1.546698442965720e+04, 0.000000000000000e-01, -2.551909672185327e+00, 1.121770505458310e+02,
-1.567380916112636e+03, 1.015673778978859e+04, -3.539780430762936e+04, 7.040572036581639e+04, -7.991059497559391e+04,
4.811189484560421e+04, -1.190819794274692e+04, 0.000000000000000e-01, 1.000000000000000e+00, -4.400000000000000e+01,
6.160000000000000e+02, -4.004000000000000e+03, 1.401400000000000e+04, -2.802800000000000e+04, 3.203200000000000e+04,
-1.944800000000000e+04, 4.862000000000000e+03, };

static const double fem_coef_gausslob_10[121] =
  { 1.000000000000000e+00, -5.500000000000000e+01, 9.900000000000000e+02,
-8.580000000000000e+03, 4.204200000000000e+04, -1.261260000000000e+05, 2.402400000000000e+05, -2.917200000000000e+05,
2.187900000000000e+05, -9.237800000000000e+04, 1.679600000000000e+04, 0.000000000000000e-01, 7.440573476392379e+01,
-1.837547309495916e+03, 1.797721877249297e+04, -9.362519219895049e+04, 2.909773746534557e+05, -5.668103968059107e+05,
6.987888266998443e+05, -5.297630128145374e+05, 2.254581472606030e+05, -4.123982399226536e+04, 0.000000000000000e-01,
-2.977479259019735e+01, 1.361302600480045e+03, -1.684411461834327e+04, 9.915381814787320e+04, -3.316413447923031e+05,
6.777335995676564e+05, -8.637075009663581e+05, 6.706702925312933e+05, -2.905859066780586e+05, 5.388962900035043e+04,
0.000000000000000e-01, 1.699123898926703e+01, -8.563552206749944e+02, 1.288193007592445e+04, -8.652550760766087e+04,
3.163119148667456e+05, -6.879421746683590e+05, 9.173107022760963e+05, -7.368809317678005e+05, 3.277210563158369e+05,
-6.203762550909711e+04, 0.000000000000000e-01, -1.128077599537177e+01, 5.884060270969327e+02, -9.496934299975062e+03,
6.981839702203256e+04, -2.759867860090975e+05, 6.390150586777585e+05, -8.953334100127128e+05, 7.481407085083284e+05,
-3.434511859876541e+05, 6.671702685021839e+04, 0.000000000000000e-01, 8.126984126984127e+00, -4.307301587301587e+02,
7.184253968253968e+03, -5.536101587301587e+04, 2.309526349206349e+05, -5.631187301587302e+05, 8.261892063492063e+05,
-7.184253968253968e+05, 3.412520634920635e+05, -6.825041269841270e+04, 0.000000000000000e-01, -6.131078401763724e+00,
3.277460052754944e+02, -5.563892337052540e+03, 4.401679638240306e+04, -1.898229640674875e+05, 4.802970424048780e+05,
-7.315927845245721e+05, 6.593462428792687e+05, -3.237190825145298e+05, 6.671702685021839e+04, 0.000000000000000e-01,
4.719539826177156e+00, -2.535442364309725e+02, 4.348374949258725e+03, -3.493745849693315e+04, 1.537770968392435e+05,
-3.987659746141970e+05, 6.242937855878344e+05, -5.790845728346388e+05, 2.926551987751342e+05, -6.203762550909711e+04,
0.000000000000000e-01, -3.595976071589556e+00, 1.937484128537626e+02, -3.342868418261306e+03, 2.710687970739982e+04,
-1.208013807254569e+05, 3.181552127960248e+05, -5.073176789159280e+05, 4.804304374445346e+05, -2.483103833254456e+05,
5.388962900035043e+04, 0.000000000000000e-01, 2.539125352570295e+00, -1.370261203741934e+02, 2.372031907702074e+03,
-1.933271708314826e+04, 8.675745431426523e+04, -2.305316371991209e+05, 3.716008535065897e+05, -3.564317671210514e+05,
1.869400926620506e+05, -4.123982399226536e+04, 0.000000000000000e-01, -1.000000000000000e+00, 5.400000000000000e+01,
-9.360000000000000e+02, 7.644000000000000e+03, -3.439800000000000e+04, 9.172800000000000e+04, -1.485120000000000e+05,
1.432080000000000e+05, -7.558200000000000e+04, 1.679600000000000e+04, };

static const double fem_coef_gausslob_11[144] =
  { 1.000000000000000e+00, -6.600000000000000e+01, 1.430000000000000e+03,
-1.501500000000000e+04, 9.009000000000000e+04, -3.363360000000000e+05, 8.168160000000000e+05, -1.312740000000000e+06,
1.385670000000000e+06, -9.237800000000000e+05, 3.527160000000000e+05, -5.878600000000000e+04, 0.000000000000000e-01,
8.928790437897459e+01, -2.652104227906408e+03, 3.141784850363868e+04, -2.002791716233576e+05, 7.743819221375186e+05,
-1.922871126014229e+06, 3.137025618338122e+06, -3.346678943928588e+06, 2.248625248986712e+06, -8.636670995581690e+05,
1.446085194818801e+05, 0.000000000000000e-01, -3.573451504477809e+01, 1.963011183403142e+03, -2.937610003978132e+04,
2.114542549822465e+05, -8.792000471014727e+05, 2.288870840565664e+06, -3.858042797257275e+06, 4.213930780912515e+06,
-2.881507044264936e+06, 1.121761824282757e+06, -1.898189887480762e+05, 0.000000000000000e-01, 2.040222049137883e+01,
-1.235400296692680e+03, 2.244501976036562e+04, -1.840644193090062e+05, 8.352985709834925e+05, -2.311501023251837e+06,
4.072373742578464e+06, -4.597525083798586e+06, 3.224564284996090e+06, -1.280533828091591e+06, 2.201577342088092e+05,
0.000000000000000e-01, -1.356395972416294e+01, 8.500434612026409e+02, -1.656519758544980e+04, 1.484886632288921e+05,
-7.274015626850215e+05, 2.139270125221522e+06, -3.953929242730888e+06, 4.636483776329532e+06, -3.352298848558998e+06,
1.364514095203156e+06, -2.393982879242230e+05, 0.000000000000000e-01, 9.803369220897211e+00, -6.243148521745071e+02,
1.257271925920887e+04, -1.180754347844014e+05, 6.096877374094766e+05, -1.885008008173690e+06, 3.641310114569300e+06,
-4.434918589444567e+06, 3.311645240511804e+06, -1.385401912847929e+06, 2.488026449837513e+05, 0.000000000000000e-01,
-7.447686911212630e+00, 4.784415903433910e+02, -9.808275331323619e+03, 9.456732952354300e+04, -5.045513347291155e+05,
1.617062776783016e+06, -3.237833360324115e+06, 4.079238919323811e+06, -3.141771586138831e+06, 1.351427181973335e+06,
-2.488026449837513e+05, 0.000000000000000e-01, 5.819619912607334e+00, -3.757783851118444e+02, 7.785050290867036e+03,
-7.625636515182549e+04, 4.153153824802320e+05, -1.363841143951918e+06, 2.804561170833446e+06, -3.631789084056234e+06,
2.874063732359706e+06, -1.268867071963298e+06, 2.393982879242230e+05, 0.000000000000000e-01, -4.587084978600364e+00,
2.971291972095372e+02, -6.195597982053585e+03, 6.128651035627590e+04, -3.381847677955126e+05, 1.128582073344179e+06,
-2.364480249965060e+06, 3.125557361498120e+06, -2.527901385564680e+06, 1.141201248205309e+06, -2.201577342088092e+05,
0.000000000000000e-01, 3.549738472143437e+00, -2.303803824096343e+02, 4.822860472410032e+03, -4.799737703690675e+04,
2.670306747478879e+05, -9.003482951717774e+05, 1.909697516429202e+06, -2.560483668180433e+06, 2.103933182581560e+06,
-9.662470519460815e+05, 1.898189887480762e+05, 0.000000000000000e-01, -2.529605817247381e+00, 1.643527121363626e+02,
-3.448327347881922e+03, 3.443600981453996e+04, -1.924805754474854e+05, 6.528637806490704e+05, -1.394862512471197e+06,
1.886334531344429e+06, -1.565422824908427e+06, 7.270266147425120e+05, -1.446085194818801e+05, 0.000000000000000e-01,
1.000000000000000e+00, -6.500000000000000e+01, 1.365000000000000e+03, -1.365000000000000e+04, 7.644000000000000e+04,
-2.598960000000000e+05, 5.569200000000000e+05, -7.558200000000000e+05, 6.298500000000000e+05, -2.939300000000000e+05,
5.878600000000000e+04, };

static const double fem_coef_gausslob_12[169] =
  { 1.000000000000000e+00, -7.800000000000000e+01, 2.002000000000000e+03,
-2.502500000000000e+04, 1.801800000000000e+05, -8.168160000000000e+05, 2.450448000000000e+06, -4.988412000000000e+06,
6.928350000000000e+06, -6.466460000000000e+06, 3.879876000000000e+06, -1.352078000000000e+06, 2.080120000000000e+05,
0.000000000000000e-01, 1.055228477237708e+02, -3.710649283521791e+03, 5.230891096204477e+04, -4.000264992878070e+05,
1.877737871587605e+06, -5.758751500257082e+06, 1.189876582421287e+07, -1.670085336595664e+07, 1.570840983751716e+07,
-9.480360124877962e+06, 3.318799039873028e+06, -5.124248673374161e+05, 0.000000000000000e-01, -4.223530748650643e+01,
2.744602756239140e+03, -4.883026612748412e+04, 4.213447894212839e+05, -2.125569662252139e+06, 6.831231541213443e+06,
-1.457745185889376e+07, 2.094131826427298e+07, -2.004063010887189e+07, 1.225627209853367e+07, -4.335340118801754e+06,
6.749529540569050e+05, 0.000000000000000e-01, 2.412126940135046e+01, -1.727728082317750e+03, 3.727953470399318e+04,
-3.660428937429080e+05, 2.013286677665669e+06, -6.871455230919223e+06, 1.531439984708661e+07, -2.272429867457359e+07,
2.229291249432404e+07, -1.390087225188044e+07, 4.993770899110666e+06, -7.872767949619026e+05, 0.000000000000000e-01,
-1.605014152757175e+01, 1.189832345018574e+03, -2.753035300171167e+04, 2.951729666043859e+05, -1.750245295939125e+06,
6.340418364700963e+06, -1.480658414760223e+07, 2.279585234765233e+07, -2.303126179585568e+07, 1.470734589654657e+07,
-5.387526099148482e+06, 8.631843338394749e+05, 0.000000000000000e-01, 1.162284069412542e+01, -8.756167723813171e+02,
2.093616690467957e+04, -2.350848402511507e+05, 1.467905987404880e+06, -5.583024412516426e+06, 1.360724316266146e+07,
-2.172800271110029e+07, 2.264080373496021e+07, -1.484050586374976e+07, 5.558088637639386e+06, -9.074958680213037e+05,
0.000000000000000e-01, -8.865800865800866e+00, 6.738008658008658e+02, -1.640173160173160e+04, 1.890632034632035e+05,
-1.219313593073593e+06, 4.803100813852814e+06, -1.211898237229437e+07, 1.998830268398268e+07, -2.144876606060606e+07,
1.443281454545455e+07, -5.532578909090909e+06, 9.220964848484848e+05, 0.000000000000000e-01, 6.984318980773296e+00,
-5.335955916987455e+02, 1.312836634638491e+04, -1.537652068533838e+05, 1.012269836848560e+06, -4.084347297774684e+06,
1.057602476941974e+07, -1.790936242524428e+07, 1.971847079705798e+07, -1.359625813912256e+07, 5.331861778616258e+06,
-9.074958680213037e+05, 0.000000000000000e-01, -5.596679201904262e+00, 4.289927383042951e+02, -1.062596939367885e+04,
1.257256555151274e+05, -8.388435073376655e+05, 3.440109149730765e+06, -9.074697250266149e+06, 1.567950042058767e+07,
-1.762881516112804e+07, 1.241472483931862e+07, -4.970685906925217e+06, 8.631843338394749e+05, 0.000000000000000e-01,
4.489137849846207e+00, -3.448281543178960e+02, 8.578250876817155e+03, -1.021659510074640e+05, 6.876731048919487e+05,
-2.851145716716003e+06, 7.618634882796075e+06, -1.335715271315875e+07, 1.525930546501226e+07, -1.092966082914868e+07,
4.453550640432165e+06, -7.872767949619026e+05, 0.000000000000000e-01, -3.514808358523940e+00, 2.703477424140389e+02,
-6.743800341396192e+03, 8.065306199056715e+04, -5.459331868312813e+05, 2.279586137602263e+06, -6.143562568432354e+06,
1.087848437431968e+07, -1.256803423488744e+07, 9.114425759470104e+06, -3.764095329881106e+06, 6.749529540569050e+05,
0.000000000000000e-01, 2.522322790441051e+00, -1.941585635394145e+02, 4.850890672082830e+03, -5.815428585185421e+04,
3.949277670351431e+05, -1.655905848916830e+06, 4.485333711312109e+06, -7.989838200781784e+06, 9.294715032477446e+06,
-6.793611930544113e+06, 2.830299368175965e+06, -5.124248673374161e+05, 0.000000000000000e-01, -1.000000000000000e+00,
7.700000000000000e+01, -1.925000000000000e+03, 2.310000000000000e+04, -1.570800000000000e+05, 6.597360000000000e+05,
-1.790712000000000e+06, 3.197700000000000e+06, -3.730650000000000e+06, 2.735810000000000e+06, -1.144066000000000e+06,
2.080120000000000e+05, };

static const double fem_coef_gausslob_13[196] =
  { 1.000000000000000e+00, -9.100000000000000e+01, 2.730000000000000e+03,
-4.004000000000000e+04, 3.403400000000000e+05, -1.837836000000000e+06, 6.651216000000000e+06, -1.662804000000000e+07,
2.909907000000000e+07, -3.556553000000000e+07, 2.974571600000000e+07, -1.622493600000000e+07, 5.200300000000000e+06,
-7.429000000000000e+05, 0.000000000000000e-01, 1.231105960095249e+02, -5.057514000718615e+03, 8.362619816879477e+04,
-7.548172444491492e+05, 4.219784854542762e+06, -1.560990588170226e+07, 3.960523865471669e+07, -7.003645336672149e+07,
8.625846242015506e+07, -7.256273938600024e+07, 3.975792117062384e+07, -1.278833059440045e+07, 1.832147578471145e+06,
0.000000000000000e-01, -4.927732466948325e+01, 3.738734011094227e+03, -7.796486012083982e+04, 7.935560370804071e+05,
-4.765562636392240e+06, 1.846680880578437e+07, -4.837506802694851e+07, 8.753277424234758e+07, -1.096660444159086e+08,
9.346798694406962e+07, -5.173889595224656e+07, 1.677849814552107e+07, -2.419777739872722e+06, 0.000000000000000e-01,
2.814884111282567e+01, -2.353904695653627e+03, 5.948276501192433e+04, -6.883051529064705e+05, 4.502895601024915e+06,
-1.851735708867110e+07, 5.063079101609929e+07, -9.458217148027056e+07, 1.214199817163488e+08, -1.054743067017811e+08,
5.927651305189011e+07, -1.946011726944643e+07, 2.834919298555227e+06, 0.000000000000000e-01, -1.874042032746388e+01,
1.621968976936385e+03, -4.394233902947216e+04, 5.547892506224127e+05, -3.908876121817967e+06, 1.704431633766850e+07,
-4.878627691196220e+07, 9.448003328782282e+07, -1.248200449226441e+08, 1.109678546438889e+08, -6.355498649510845e+07,
2.119358718443647e+07, -3.128057142433586e+06, 0.000000000000000e-01, 1.358783086373605e+01, -1.195146716951513e+03,
3.345811195278515e+04, -4.422483366082136e+05, 3.278781781106079e+06, -1.499532485039955e+07, 4.474689669452104e+07,
-8.978037194074775e+07, 1.222039761714010e+08, -1.114085938050346e+08, 6.517880226738924e+07, -2.213159774622623e+07,
3.317403211532315e+06, 0.000000000000000e-01, -1.039065134180050e+01, 9.220321824274881e+02, -2.627964906979335e+04,
3.565631308351814e+05, -2.729347397416285e+06, 1.291899991743804e+07, -3.987098284679090e+07, 8.253644504125924e+07,
-1.155541226713629e+08, 1.080161713852185e+08, -6.460510650895925e+07, 2.236736005147009e+07, -3.410612094153076e+06,
0.000000000000000e-01, 8.225051804237637e+00, -7.337438600306013e+02, 2.113982918743374e+04, -2.914573383452468e+05,
2.277144431399071e+06, -1.103660550091489e+07, 3.493361321847434e+07, -7.418006034176242e+07, 1.064417028079657e+08,
-1.018292957440870e+08, 6.222452923525811e+07, -2.197059717251990e+07, 3.410612094153076e+06, 0.000000000000000e-01,
-6.651370533890156e+00, 5.953674398464600e+02, -1.727143617692029e+04, 2.405949101477657e+05, -1.905359074321061e+06,
9.386078020968711e+06, -3.025905095154839e+07, 6.552811535463406e+07, -9.594395490329804e+07, 9.365009838355809e+07,
-5.835707981219508e+07, 2.099464400369387e+07, -3.317403211532315e+06, 0.000000000000000e-01, 5.430796129527214e+00,
-4.871978584294892e+02, 1.419769025501944e+04, -1.991370307462581e+05, 1.591472100521582e+06, -7.928247009292726e+06,
2.589562028603176e+07, -5.690356974983853e+07, 8.463743197871011e+07, -8.398458536550263e+07, 5.322039739169053e+07,
-1.947115566720015e+07, 3.128057142433586e+06, 0.000000000000000e-01, -4.414467779036191e+00, 3.966097971621681e+02,
-1.159268854505275e+04, 1.633445673328560e+05, -1.313458735263122e+06, 6.593624701202045e+06, -2.173390279168494e+07,
4.826160481317836e+07, -7.262663174126566e+07, 7.298651647234048e+07, -4.687881110584063e+07, 1.739383361177152e+07,
-2.834919298555227e+06, 0.000000000000000e-01, 3.487743182287134e+00, -3.136500314357888e+02, 9.185689380767778e+03,
-1.298134042763866e+05, 1.048017196494400e+06, -5.287706376855868e+06, 1.753577438278919e+07, -3.921741432164137e+07,
5.949694434313328e+07, -6.033542452985016e+07, 3.913958191606598e+07, -1.467861247282431e+07, 2.419777739872722e+06,
0.000000000000000e-01, -2.516624450464659e+00, 2.264447557529062e+02, -6.639311014646825e+03, 9.399061131310191e+04,
-7.605959998781342e+05, 3.848998924774717e+06, -1.281093272369737e+07, 2.877371846174006e+07, -4.386952078323465e+07,
4.473878170318014e+07, -2.920546515856783e+07, 1.102958792572444e+07, -1.832147578471145e+06, 0.000000000000000e-01,
1.000000000000000e+00, -9.000000000000000e+01, 2.640000000000000e+03, -3.740000000000000e+04, 3.029400000000000e+05,
-1.534896000000000e+06, 5.116320000000000e+06, -1.151172000000000e+07, 1.758735000000000e+07, -1.797818000000000e+07,
1.176753600000000e+07, -4.457400000000000e+06, 7.429000000000000e+05, };

static const double fem_coef_gausslob_14[225] =
  { 1.000000000000000e+00, -1.050000000000000e+02, 3.640000000000000e+03,
-6.188000000000000e+04, 6.126120000000000e+05, -3.879876000000000e+06, 1.662804000000000e+07, -4.988412000000000e+07,
1.066965900000000e+08, -1.636014380000000e+08, 1.784742960000000e+08, -1.352078000000000e+08, 6.760390000000000e+07,
-2.005830000000000e+07, 2.674440000000000e+06, 0.000000000000000e-01, 1.420511699552723e+02, -6.740724197514907e+03,
1.291563810650317e+05, -1.357536885890637e+06, 8.899789739175488e+06, -3.898284725729828e+07, 1.186784002318284e+08,
-2.564866709310747e+08, 3.962828733570607e+08, -4.348015522628213e+08, 3.308658899677545e+08, -1.660170000478420e+08,
4.939776003229131e+07, -6.601663651220939e+06, 0.000000000000000e-01, -5.686066782897496e+01, 4.980782943180571e+03,
-1.202886759366057e+05, 1.425067611910860e+06, -1.003204881513823e+07, 4.601736532886305e+07, -1.446080878593359e+08,
3.197256124417587e+08, -5.024241189222256e+08, 5.584380089699472e+08, -4.292685524711295e+08, 2.171358326952990e+08,
-6.503152653250142e+07, 8.737812306213077e+06, 0.000000000000000e-01, 3.248522677540712e+01, -3.136209432322820e+03,
9.172216152088957e+04, -1.234458149638161e+06, 9.460578149039340e+06, -4.602710110035357e+07, 1.508977142152744e+08,
-3.443000936718750e+08, 5.541917935770469e+08, -6.276282328622294e+08, 4.896977188070307e+08, -2.507043130148833e+08,
7.583045543918066e+07, -1.027267982590785e+07, 0.000000000000000e-01, -2.163547691954172e+01, 2.161829695966707e+03,
-6.777232432848026e+04, 9.945601317987818e+05, -8.202377657972944e+06, 4.227975782999525e+07, -1.449995018490026e+08,
3.427553248466447e+08, -5.674380093336526e+08, 6.573468625138306e+08, -5.224446315267705e+08, 2.715766154508912e+08,
-8.319461131269656e+07, 1.139164303704407e+07, 0.000000000000000e-01, 1.569978564006007e+01, -1.594280678736617e+03,
5.164364569735884e+04, -7.932250762767995e+05, 6.879605840139093e+06, -3.716431671531196e+07, 1.327627119052969e+08,
-3.248633554644047e+08, 5.536614212284358e+08, -6.572276042331931e+08, 5.332102141003966e+08, -2.820526436178851e+08,
8.770029066945359e+07, -1.216316370145453e+07, 0.000000000000000e-01, -1.202518395631915e+01, 1.231993083463710e+03,
-4.063141778456666e+04, 6.405521495953326e+05, -5.734055805513453e+06, 3.204057307537486e+07, -1.182863821502541e+08,
2.983631937198568e+08, -5.225422090403253e+08, 6.354190974001179e+08, -5.265537919663995e+08, 2.837551732890861e+08,
-8.968009595208465e+07, 1.261735673043107e+07, 0.000000000000000e-01, 9.547785547785548e+00, -9.834219114219114e+02,
3.278709557109557e+04, -5.252427785547786e+05, 4.798602442890443e+06, -2.744701911421911e+07, 1.038669217715618e+08,
-2.685490364568765e+08, 4.816180870862471e+08, -5.987952711608392e+08, 5.064437616783217e+08, -2.780475554312354e+08,
8.937242853146853e+07, -1.276748979020979e+07, 0.000000000000000e-01, -7.763592643695499e+00, 8.024013730981778e+02,
-2.693903659000494e+04, 4.360799342555947e+05, -4.038452021764897e+06, 2.347605516322762e+07, -9.046087127754393e+07,
2.384165701554799e+08, -4.360078989902932e+08, 5.526354677146948e+08, -4.761786531169400e+08, 2.660933883812130e+08,
-8.696289827395033e+07, 1.261735673043107e+07, 0.000000000000000e-01, 6.402657115106499e+00, -6.632652203626004e+02,
2.237191510124190e+04, -3.647008347515229e+05, 3.408912135873189e+06, -2.004238739169268e+07, 7.824760241311718e+07,
-2.092325230710293e+08, 3.885803431690498e+08, -5.004334616015021e+08, 4.381904244262927e+08, -2.487967617473505e+08,
8.258400115090981e+07, -1.216316370145453e+07, 0.000000000000000e-01, -5.303584550798654e+00, 5.502727059685037e+02,
-1.861988467344103e+04, 3.050015660700474e+05, -2.869271809771707e+06, 1.700462338220501e+07, -6.701518639186630e+07,
1.811217810430339e+08, -3.403535526125257e+08, 4.438883801280693e+08, -3.938531369776322e+08, 2.266861847568459e+08,
-7.628839120592035e+07, 1.139164303704407e+07, 0.000000000000000e-01, 4.356127432886088e+00, -4.524531153029460e+02,
1.534317874813675e+04, -2.521565333504139e+05, 2.382646312619400e+06, -1.419908547341188e+07, 5.633074020272954e+07,
-1.534171364617007e+08, 2.907942363862238e+08, -3.828802350952767e+08, 3.432339697459343e+08, -1.997222564631490e+08,
6.798706212352923e+07, -1.027267982590785e+07, 0.000000000000000e-01, -3.466327490120249e+00, 3.602867454806401e+02,
-1.223518159744950e+04, 2.015152850494290e+05, -1.909713800970267e+06, 1.142278748458884e+07, -4.551909122318173e+07,
1.246206804545239e+08, -2.376275441309645e+08, 3.149824199011395e+08, -2.844660497989077e+08, 1.668669076381706e+08,
-5.729784575448167e+07, 8.737812306213077e+06, 0.000000000000000e-01, 2.512080922932578e+00, -2.612119914965073e+02,
8.878143206793750e+03, -1.464124202177336e+05, 1.389929291394544e+06, -8.332053211967151e+06, 3.329158201137647e+07,
-9.143262460433713e+07, 1.749809182259230e+08, -2.329047114119376e+08, 2.113183971320489e+08, -1.245975118891604e+08,
4.302553108480184e+07, -6.601663651220939e+06, 0.000000000000000e-01, -1.000000000000000e+00, 1.040000000000000e+02,
-3.536000000000000e+03, 5.834400000000000e+04, -5.542680000000000e+05, 3.325608000000000e+06, -1.330243200000000e+07,
3.658168800000000e+07, -7.011490200000000e+07, 9.348653600000000e+07, -8.498776000000000e+07, 5.022004000000000e+07,
-1.738386000000000e+07, 2.674440000000000e+06, };

static const double fem_coef_gausslob_16[289] =
  { 1.000000000000000e+00, -1.360000000000000e+02, 6.120000000000000e+03,
-1.356600000000000e+05, 1.763580000000000e+06, -1.481407200000000e+07, 8.535727200000000e+07, -3.505745100000000e+08,
1.051723530000000e+09, -2.337163400000000e+09, 3.866943080000000e+09, -4.745793780000000e+09, 4.259045700000000e+09,
-2.714556600000000e+09, 1.163381400000000e+09, -3.005401950000000e+08, 3.535767000000000e+07, 0.000000000000000e-01,
1.839908474110340e+02, -1.132675577023645e+04, 2.828774748172428e+05, -3.903228397113182e+06, 3.393217989215092e+07,
-1.997936813387011e+08, 8.326183533203730e+08, -2.523654441487500e+09, 5.650496513849965e+09, -9.402288564814163e+09,
1.159004125992500e+10, -1.043753556167033e+10, 6.671119113102151e+09, -2.865585732582308e+09, 7.416762022559170e+08,
-8.739414676532781e+07, 0.000000000000000e-01, -7.365158560983221e+01, 8.363752486870456e+03, -2.630512922725150e+05,
4.088268892503375e+06, -3.814296099037553e+07, 2.350888858038512e+08, -1.010915772862718e+09, 3.133749897384450e+09,
-7.134585101325640e+09, 1.202392366962845e+10, -1.496979454364896e+10, 1.358833701849443e+10, -8.740756338653663e+09,
3.774397412355719e+09, -9.811765345365573e+08, 1.160408606498937e+08, 0.000000000000000e-01, 4.208515410469884e+01,
-5.266887544418802e+03, 2.004067164817591e+05, -3.534528216742270e+06, 3.586506864599599e+07, -2.342572871648561e+08,
1.050195570375994e+09, -3.357626237614668e+09, 7.826157982970905e+09, -1.343314504492630e+10, 1.696909064108448e+10,
-1.558480944857237e+10, 1.012167818105129e+10, -4.405611470443590e+09, 1.152926420144654e+09, -1.371250292488943e+08,
0.000000000000000e-01, -2.804154671449467e+01, 3.632134644860107e+03, -1.481030987143817e+05, 2.845430205439061e+06,
-3.103475950537538e+07, 2.145184209516461e+08, -1.004950951655481e+09, 3.325504487572721e+09, -7.965634686855131e+09,
1.397533464514550e+10, -1.797134014690632e+10, 1.674913384367476e+10, -1.101142723314074e+10, 4.842306972881947e+09,
-1.278281396603255e+09, 1.531698732399162e+08, 0.000000000000000e-01, 2.036791285538472e+01, -2.681212491930484e+03,
1.129589658306899e+05, -2.270501508829428e+06, 2.601887714173907e+07, -1.882644410377163e+08, 9.175357517098464e+08,
-3.139134215049928e+09, 7.731773974122787e+09, -1.388518223176127e+10, 1.820883321323428e+10, -1.725391802961138e+10,
1.150422262078233e+10, -5.120395806896533e+09, 1.365808881323657e+09, -1.651383905702324e+08, 0.000000000000000e-01,
-1.562975981216744e+01, 2.075857199589987e+03, -8.904128307330524e+04, 1.836683464233000e+06, -2.171339625537650e+07,
1.623702309776589e+08, -8.168673425840398e+08, 2.877184244039678e+09, -7.272633187920932e+09, 1.336161532561319e+10,
-1.787465369706492e+10, 1.723415209556249e+10, -1.166677727073840e+10, 5.262202876034756e+09, -1.420107794637259e+09,
1.734782145645626e+08, 0.000000000000000e-01, 1.245158740600359e+01, -1.662689739514946e+03, 7.210078018619273e+04,
-1.511262926531350e+06, 1.823010400853032e+07, -1.394732137018548e+08, 7.186625912313578e+08, -2.591802100670653e+09,
6.699969496687534e+09, -1.256822106464210e+10, 1.713562111741701e+10, -1.680796707246793e+10, 1.155571599892056e+10,
-5.285087289024682e+09, 1.444204616664480e+09, -1.784123720377501e+08, 0.000000000000000e-01, -1.018430458430458e+01,
1.364696814296814e+03, -5.959855042735043e+04, 1.262405659052059e+06, -1.543602456068376e+07, 1.199989722604507e+08,
-6.293065120124320e+08, 2.311744565308469e+09, -6.087583637383061e+09, 1.162721665412277e+10, -1.612769282864336e+10,
1.607722369253147e+10, -1.122097126220979e+10, 5.203928701314685e+09, -1.440373122685315e+09, 1.800466403356643e+08,
0.000000000000000e-01, 8.484036081962663e+00, -1.139564172918365e+03, 5.000628114583172e+04, -1.066865683702600e+06,
1.316848914076596e+07, -1.035421266853741e+08, 5.500823983897466e+08, -2.049399257475671e+09, 5.477078740096760e+09,
-1.061962761323504e+10, 1.495184835525608e+10, -1.512401891411349e+10, 1.070494963879464e+10, -5.031502683587495e+09,
1.410393335939522e+09, -1.784123720377501e+08, 0.000000000000000e-01, -7.151250283691663e+00, 9.621468006776697e+02,
-4.236328367402523e+04, 9.083924059514159e+05, -1.128778312795541e+07, 8.948673396532559e+07, -4.799806642461592e+08,
1.807454740270899e+09, -4.886699456126079e+09, 9.591077381959552e+09, -1.367409274689175e+10, 1.400781324267719e+10,
-1.004054471299105e+10, 4.777971704223384e+09, -1.355543638395742e+09, 1.734782145645626e+08, 0.000000000000000e-01,
6.060147075943005e+00, -8.163167553056976e+02, 3.602890134025652e+04, -7.753708269797396e+05, 9.681484150831325e+06,
-7.721340002337801e+07, 4.170906086685726e+08, -1.583343835764609e+09, 4.319156776154927e+09, -8.559301071696637e+09,
1.232825943540154e+10, -1.276387222258454e+10, 9.248884856115279e+09, -4.449869455469566e+09, 1.276405367800062e+09,
-1.651383905702324e+08, 0.000000000000000e-01, -5.123522643555085e+00, 6.907394286218810e+02, -3.053901287681582e+04,
6.589382296622791e+05, -8.256408016568484e+06, 6.613528180437879e+07, -3.591109349416936e+08, 1.371451685008549e+09,
-3.766497172573159e+09, 7.519828793959344e+09, -1.091857986975193e+10, 1.140164818726860e+10, -8.336452758217789e+09,
4.048470812623064e+09, -1.172436575235404e+09, 1.531698732399162e+08, 0.000000000000000e-01, 4.271888353674923e+00,
-5.762713061877649e+02, 2.550919052304026e+04, -5.514258520673562e+05, 6.926418073801134e+06, -5.565457178175802e+07,
3.033329010654617e+08, -1.163492208450654e+09, 3.211252052317023e+09, -6.446888262886903e+09, 9.417864122967573e+09,
-9.899668972442366e+09, 7.289624669351123e+09, -3.566718678141100e+09, 1.041074047837655e+09, -1.371250292488943e+08,
0.000000000000000e-01, -3.434977405385288e+00, 4.635617485626016e+02, -2.053688028669370e+04, 4.444943513906060e+05,
-5.592632684586483e+06, 4.503253959356561e+07, -2.460675245081598e+08, 9.466718497394927e+08, -2.621823641133609e+09,
5.284002694315866e+09, -7.752423037115038e+09, 8.187712309040204e+09, -6.060153271928369e+09, 2.981652672294607e+09,
-8.754772358617425e+08, 1.160408606498937e+08, 0.000000000000000e-01, 2.505373764729175e+00, -3.381913429670035e+02,
1.499009100007397e+04, -3.246847962658711e+05, 4.089321087106837e+06, -3.296978262323839e+07, 1.804331430493320e+08,
-6.954301078105766e+08, 1.930060872117711e+09, -3.899125665782255e+09, 5.735918309736332e+09, -6.075963842786729e+09,
4.511802094762441e+09, -2.227740310582889e+09, 6.566301459893279e+08, -8.739414676532781e+07, 0.000000000000000e-01,
-1.000000000000000e+00, 1.350000000000000e+02, -5.985000000000000e+03, 1.296750000000000e+05, -1.633905000000000e+06,
1.318016700000000e+07, -7.217710500000000e+07, 2.783974050000000e+08, -7.733261250000000e+08, 1.563837275000000e+09,
-2.303105805000000e+09, 2.442687975000000e+09, -1.816357725000000e+09, 8.981988750000000e+08, -2.651825250000000e+08,
3.535767000000000e+07, };

static const double fem_coef_gausslob_24[625] =
  { 1.000000000000000e+00, -3.000000000000000e+02, 2.990000000000000e+04,
-1.480050000000000e+06, 4.351347000000000e+07, -8.412604200000000e+08, 1.141710570000000e+10, -1.137633032250000e+11,
8.595449577000000e+11, -5.042663751840000e+12, 2.337962284944000e+13, -8.678799391080000e+13, 2.603639817324000e+14,
-6.351736697208000e+14, 1.264298066396640e+15, -2.054484357894540e+15, 2.719170473683950e+15, -2.914666390092600e+15,
2.505590405518200e+15, -1.701164012167620e+15, 8.910859111354200e+14, -3.471763290138000e+14, 9.468445336740000e+13,
-1.612380184155000e+13, 1.289904147324000e+12, 0.000000000000000e-01, 4.058641271792565e+02, -5.527892747506228e+04,
3.080680865091051e+06, -9.608544697986574e+07, 1.921815551511292e+09, -2.664514371195282e+10, 2.693344195607988e+11,
-2.055620699316044e+12, 1.214897536784061e+13, -5.664114215003022e+13, 2.111637034506248e+14, -6.356401824720572e+14,
1.554903769748071e+15, -3.101863582054997e+15, 5.049759901096915e+15, -6.693732300831693e+15, 7.184248666000200e+15,
-6.182729556103940e+15, 4.201716500300169e+15, -2.202700032171432e+15, 8.588067464630930e+14, -2.343664562972425e+14,
3.993223187351215e+13, -3.196139551478179e+12, 0.000000000000000e-01, -1.624756704002590e+02, 4.076566744849383e+04,
-2.856559180759908e+06, 1.002242332396244e+08, -2.149192199655287e+09, 3.116591524589708e+10, -3.248555446646729e+11,
2.534404897909630e+12, -1.522400128496926e+13, 7.186059820369571e+13, -2.704952845330370e+14, 8.204876425573068e+14,
-2.019503996546278e+15, 4.049106649016715e+15, -6.619542027745681e+15, 8.805466617020362e+15, -9.478911036302426e+15,
8.178282706527972e+15, -5.570062256804815e+15, 2.925593222099543e+15, -1.142548313369483e+15, 3.122535907953383e+14,
-5.327144417235540e+13, 4.268671053543734e+12, 0.000000000000000e-01, 9.285790471348058e+01, -2.567292232023452e+04,
2.172505008713478e+06, -8.632693629032278e+07, 2.009759260312978e+09, -3.083881003217180e+10, 3.346965047874316e+11,
-2.690206053619648e+12, 1.652940573703274e+13, -7.940281485029880e+13, 3.030598877175188e+14, -9.295754861643471e+14,
2.308921995608790e+15, -4.664329550291535e+15, 7.673380080847903e+15, -1.026158278560169e+16, 1.109639715400819e+16,
-9.611028022799504e+15, 6.567868332535721e+15, -3.459765425094874e+15, 1.354622808613475e+15, -3.710479852977045e+14,
6.342841599973944e+13, -5.091588188794019e+12, 0.000000000000000e-01, -6.190263201810896e+01, 1.771295817306943e+04,
-1.605426884400296e+06, 6.937138005497782e+07, -1.732266817595608e+09, 2.807090718452186e+10, -3.177491729312126e+11,
2.638958096874092e+12, -1.663806369766778e+13, 8.158796865135113e+13, -3.166342096198069e+14, 9.845663378570931e+14,
-2.473337869447428e+15, 5.044014753850598e+15, -8.364663482728635e+15, 1.126254226203764e+16, -1.225027170970453e+16,
1.066427200479037e+16, -7.319785257851210e+15, 3.870748078365627e+15, -1.520689469004945e+15, 4.177883147633562e+14,
-7.160927970988626e+13, 5.762006100161049e+12, 0.000000000000000e-01, 4.501042175430940e+01, -1.308958048352837e+04,
1.225547369430789e+06, -5.535760993480313e+07, 1.449945861634959e+09, -2.454369660090688e+10, 2.883865544213490e+11,
-2.470900824125910e+12, 1.598637745987517e+13, -8.009303566237079e+13, 3.164491556576764e+14, -9.988976501079246e+14,
2.541436559580714e+15, -5.239264041161704e+15, 8.769361705836964e+15, -1.190220432935039e+16, 1.303612471279278e+16,
-1.141726255498977e+16, 7.878336148801056e+15, -4.185657107040718e+15, 1.651238357905402e+15, -4.553312625304459e+14,
7.830179054235796e+13, -6.319165567954503e+12, 0.000000000000000e-01, -3.460823180120079e+01, 1.015469610544880e+04,
-9.679531870145017e+05, 4.485134755229398e+07, -1.210735945225935e+09, 2.114609948086286e+10, -2.559531795223062e+11,
2.252595670603948e+12, -1.492191456512238e+13, 7.630937241452699e+13, -3.068986895462340e+14, 9.837309848042438e+14,
-2.536329824251836e+15, 5.289429958022946e+15, -8.942835505684019e+15, 1.224496508118832e+16, -1.351567177210176e+16,
1.191830727462528e+16, -8.273935552638878e+15, 4.419525275428065e+15, -1.751884239411906e+15, 4.851652818736986e+14,
-8.375521716296401e+13, 6.782865257514837e+12, 0.000000000000000e-01, 2.766582877253528e+01, -8.161941725332768e+03,
7.865526415735044e+05, -3.702889412503837e+07, 1.019390720188427e+09, -1.819645578676150e+10, 2.252249000861092e+11,
-2.025483052842698e+12, 1.369084263890056e+13, -7.131369560391163e+13, 2.915943262851778e+14, -9.485944639479267e+14,
2.478119277999363e+15, -5.228788122037598e+15, 8.932615077176731e+15, -1.234455468758280e+16, 1.373835480205531e+16,
-1.220422101884528e+16, 8.528504524807064e+15, -4.582579019928659e+15, 1.826238758482371e+15, -5.082003015125067e+14,
8.811547249928783e+13, -7.164301017225998e+12, 0.000000000000000e-01, -2.275670591599455e+01, 6.737590226239552e+03,
-6.539504206517175e+05, 3.111139106156313e+07, -8.679722967903971e+08, 1.573365420642779e+10, -1.979909637705803e+11,
1.810880611538906e+12, -1.244463025448231e+13, 6.585374856883214e+13, -2.732735801573156e+14, 9.011914571652850e+14,
-2.383831456114384e+15, 5.087291841992724e+15, -8.780953301699755e+15, 1.224889816733013e+16, -1.374781660040675e+16,
1.230672077620068e+16, -8.660226214361099e+15, 4.682883135541219e+15, -1.876981572450838e+15, 5.250670186065034e+14,
-9.147680701891190e+13, 7.470231264323625e+12, 0.000000000000000e-01, 1.912965144613660e+01, -5.677631395079384e+03,
5.537935689545739e+05, -2.653927821530689e+07, 7.474036306614312e+08, -1.369940651896189e+10, 1.745319507247928e+11,
-1.617301631376405e+12, 1.126327452432594e+13, -6.039298017983792e+13, 2.538313181524926e+14, -8.473116290006231e+14,
2.267097817730376e+15, -4.890112526330036e+15, 8.524655979372967e+15, -1.200076621013731e+16, 1.358349523272153e+16,
-1.225446423734989e+16, 8.685297402148473e+15, -4.727405822382261e+15, 1.906317065479628e+15, -5.362492238636365e+14,
9.390516767804315e+13, -7.704880889559378e+12, 0.000000000000000e-01, -1.635497697368700e+01, 4.862656953497025e+03,
-4.759804636482565e+05, 2.293041632316653e+07, -6.502015538842764e+08, 1.201606379408697e+10, -1.545199230484324e+11,
1.446437458063616e+12, -1.018096106218994e+13, 5.518468570532575e+13, -2.344620385089091e+14, 7.909885622725649e+14,
-2.138165417503776e+15, 4.657339854616682e+15, -8.194527986057532e+15, 1.163730420250179e+16, -1.328057957790062e+16,
1.207345046837354e+16, -8.618482475976474e+15, 4.722435616707614e+15, -1.916176031917556e+15, 5.421466879431477e+14,
-9.544980641239802e+13, 7.870911362255844e+12, 0.000000000000000e-01, 1.417066207624127e+01, -4.218698704765500e+03,
4.140273580736256e+05, -2.002373113338682e+07, 5.706909517514257e+08, -1.061235738178459e+10, 1.374488760853391e+11,
-1.296867134188179e+12, 9.206001697332345e+12, -5.034424091354864e+13, 2.158419782218546e+14, -7.348173021384713e+14,
2.004252206567683e+15, -4.404149060382797e+15, 7.815178748758451e+15, -1.118956431220418e+16, 1.286957131473114e+16,
-1.178684055128811e+16, 8.473168167228462e+15, -4.673705358375533e+15, 1.908297467260950e+15, -5.431049066701974e+14,
9.614927445703371e+13, -7.969947411626695e+12, 0.000000000000000e-01, -1.240846755882427e+01, 3.697723332529632e+03,
-3.636177333437864e+05, 1.763791694375029e+07, -5.046596469793725e+08, 9.429433336134134e+09, -1.228099190218494e+11,
1.166008419408402e+12, -8.333618884154624e+12, 4.590449180645647e+13, -1.982963080519099e+14, 6.803133908337801e+14,
-1.870091239145240e+15, 4.141349396659428e+15, -7.405302748248103e+15, 1.068239700855010e+16, -1.237594459251991e+16,
1.141465416121965e+16, -8.261228940134621e+15, 4.586380576952005e+15, -1.884249466545215e+15, 5.394272826690079e+14,
-9.603440259637641e+13, 8.002866883031367e+12, 0.000000000000000e-01, 1.095558179466470e+01, -3.267249008495488e+03,
3.217786804294041e+05, -1.564425754031200e+07, 4.489762785029423e+08, -8.420409805207488e+09, 1.101506623685581e+11,
-1.051033145830932e+12, 7.553210200363392e+12, -4.185258869687206e+13, 1.819278279112502e+14, -6.282336154227903e+14,
1.738507104235632e+15, -3.876120340749998e+15, 6.978305450391071e+15, -1.013471839778258e+16, 1.182005159615111e+16,
-1.097352991130819e+16, 7.992846614334175e+15, -4.464988119249731e+15, 1.845417602986293e+15, -5.313770797673897e+14,
9.512946342200696e+13, -7.969947411626695e+12, 0.000000000000000e-01, -9.733404845062563e+00, 2.904495367336991e+03,
-2.863957452026712e+05, 1.394908621565543e+07, -4.012835563442479e+08, 7.548227155070059e+09, -9.908687724892865e+10,
9.492474279583278e+11, -6.852122094227041e+12, 3.815223404048325e+13, -1.667054040084672e+14, 5.788252023371522e+14,
-1.610924210936436e+15, 3.612762299121459e+15, -6.543084510709907e+15, 9.560030643675167e+15, -1.121725598566102e+16,
1.047660019645038e+16, -7.676343347474552e+15, 4.313320840279778e+15, -1.792974677700824e+15, 5.191726764406062e+14,
-9.345206628174223e+13, 7.870911362255844e+12, 0.000000000000000e-01, 8.685152146887849e+00, -2.592917301003156e+03,
2.559159080755008e+05, -1.248235381982623e+07, 3.597715754514247e+08, -6.783361410773893e+09, 8.929618961811727e+10,
-8.582135820103382e+11, 6.217423158689400e+12, -3.475607425638306e+13, 1.525197220141970e+14, -5.320009405626489e+14,
1.487763351500956e+15, -3.353349463718517e+15, 6.104800041187937e+15, -8.967037300250809e+15, 1.057820092203265e+16,
-9.933456336414407e+15, 7.318037585534789e+15, -4.134330534453634e+15, 1.727837357443638e+15, -5.029774927870322e+14,
9.101197367138191e+13, -7.704880889559378e+12, 0.000000000000000e-01, -7.768227503689160e+00, 2.320048262018063e+03,
-2.291579825895192e+05, 1.118998178170061e+07, -3.230127412726743e+08, 6.101825984880789e+09, -8.050592964465223e+10,
7.757517929934399e+11, -5.636578411502579e+12, 3.161187883403309e+13, -1.392153217132889e+14, 4.874510273126649e+14,
-1.368719368735070e+15, 3.098228256202772e+15, -5.665515780120550e+15, 8.360206053329256e+15, -9.909089467205730e+15,
9.350136076665120e+15, -6.922098442148973e+15, 3.930003596385763e+15, -1.650608740098542e+15, 4.828842861248500e+14,
-8.780874332485509e+13, 7.470231264323625e+12, 0.000000000000000e-01, 6.949251795654158e+00, -2.076080736426886e+03,
2.051850668187582e+05, -1.002851556374879e+07, 2.898385274463058e+08, -5.483488755332865e+09, 7.247948130849744e+10,
-6.998845716368053e+11, 5.097508994937879e+12, -2.866481138828522e+13, 1.266058930533223e+14, -4.447041797385597e+14,
1.252927498139101e+15, -2.846337193255717e+15, 5.224630116918579e+15, -7.740148279482860e+15, 9.211839907560781e+15,
-8.729031202403334e+15, 6.490342376708594e+15, -3.701195553992629e+15, 1.561498591338377e+15, -4.588915147832623e+14,
8.382775191413614e+13, -7.164301017225998e+12, 0.000000000000000e-01, -6.200545901231066e+00, 1.852852310460863e+03,
-1.832115058838774e+05, 8.961081566680860e+06, -2.592406841374813e+08, 4.910586592056635e+09, -6.500190149790611e+10,
6.287466876199138e+11, -4.588252565931313e+12, 2.585696625207004e+13, -1.144768233740891e+14, 4.031460020145847e+14,
-1.139023606360627e+15, 2.595327972551887e+15, -4.779021130665880e+15, 7.103675353349177e+15, -8.483943776806492e+15,
8.068562477979859e+15, -6.021870692282251e+15, 3.447372991345801e+15, -1.460201300789598e+15, 4.308660981996213e+14,
-7.903354901739207e+13, 6.782865257514837e+12, 0.000000000000000e-01, 5.497265260133587e+00, -1.643010914375697e+03,
1.625245542407611e+05, -7.953853255844527e+06, 2.302798044521235e+08, -4.366227075820252e+09, 5.786337032883471e+10,
-5.604566478207931e+11, 4.096239643506256e+12, -2.312433390636899e+13, 1.025754064938261e+14, -3.619933583977279e+14,
1.025085118853682e+15, -2.341436140046740e+15, 4.322778692729082e+15, -6.443312152718818e+15, 7.717747123310279e+15,
-7.362354286134902e+15, 5.512353176524103e+15, -3.166155510128892e+15, 1.345687520087759e+15, -3.984797768116558e+14,
7.335818308855012e+13, -6.319165567954503e+12, 0.000000000000000e-01, -4.814420396783881e+00, 1.439137261510244e+03,
-1.424001050225189e+05, 6.972107765750786e+06, -2.019777804539574e+08, 3.832494908082456e+09, -5.083618287186299e+10,
4.929144471099037e+11, -3.606960360420349e+12, 2.039001482865880e+13, -9.058350359554217e+13, 3.202053356214614e+14,
-9.083926524953095e+14, 2.078951013598256e+15, -3.846222877659622e+15, 5.745792065253601e+15, -6.898564020656367e+15,
6.597335811773795e+15, -4.952528004193797e+15, 2.852412393699805e+15, -1.215806035913631e+15, 3.610885650804218e+14,
-6.667886669397892e+13, 5.762006100161049e+12, 0.000000000000000e-01, 4.122502768575858e+00, -1.232445305915745e+03,
1.219756720552666e+05, -5.974119340666288e+06, 1.731450552812862e+08, -3.287266438655767e+09, 4.363384253154989e+10,
-4.234185297825935e+11, 3.101259925467429e+12, -1.754945237689139e+13, 7.805398522969187e+13, -2.762644893141324e+14,
7.848217578377621e+14, -1.798840649081661e+15, 3.333370625337169e+15, -4.988259107765304e+15, 6.000070847701146e+15,
-5.749271353120764e+15, 4.324788417805135e+15, -2.496262406568326e+15, 1.066418114121039e+15, -3.174727574108465e+14,
5.876970053131701e+13, -5.091588188794019e+12, 0.000000000000000e-01, -3.378098091794216e+00, 1.009981094027902e+03,
-9.997415292076045e+04, 4.897701324351262e+06, -1.419932385393241e+08, 2.696914741487987e+09, -3.581511558046563e+10,
3.477438352489987e+11, -2.548653261914288e+12, 1.443296944374584e+13, -6.424560812216257e+13, 2.275969917931459e+14,
-6.472060159591627e+14, 1.485016620793322e+15, -2.755030677045359e+15, 4.127938042773006e+15, -4.971860898078912e+15,
4.770796079822418e+15, -3.594142516031414e+15, 2.077829100777859e+15, -8.891455208945626e+14, 2.651635856092349e+14,
-4.917666111269423e+13, 4.268671053543734e+12, 0.000000000000000e-01, 2.493031698759675e+00, -7.454011644125376e+02,
7.379166798110049e+04, -3.615566630393531e+06, 1.048426846839652e+08, -1.991802210178859e+09, 2.645916950749144e+10,
-2.569938254028299e+11, 1.884300408926143e+12, -1.067564580288449e+13, 4.754491961430585e+13, -1.685282542848975e+14,
4.795322158961934e+14, -1.101030336950954e+15, 2.044141709763629e+15, -3.065196721720791e+15, 3.694953407319221e+15,
-3.548705940334544e+15, 2.676012339710790e+15, -1.548605987126603e+15, 6.633870802695019e+14, -1.980596394144405e+14,
3.677511736196415e+13, -3.196139551478179e+12, 0.000000000000000e-01, -1.000000000000000e+00, 2.990000000000000e+02,
-2.960100000000000e+04, 1.450449000000000e+06, -4.206302100000000e+07, 7.991973990000000e+08, -1.061790830100000e+10,
1.031453949240000e+11, -7.563995627760000e+11, 4.286264189064000e+12, -1.909335866037600e+13, 6.769463525042400e+13,
-1.926693464819760e+14, 4.425043232388240e+14, -8.217937431578160e+14, 1.232690614736724e+15, -1.486479858947226e+15,
1.428186531145374e+15, -1.077403874372826e+15, 6.237601377947940e+14, -2.673257733406260e+14, 7.985055567317400e+13,
-1.483389769422600e+13, 1.289904147324000e+12, };

static const double fem_coef_gausslob_32[1089] =
  { 1.000000000000000e+00, -5.280000000000000e+02, 9.275200000000000e+04,
-8.115800000000000e+06, 4.236447600000000e+08, -1.462986571200000e+10, 3.573867195360000e+11, -6.471252385884000e+12,
8.987850535950000e+13, -9.826716585972000e+14, 8.629643838226320e+15, -6.184578084062196e+16, 3.663173172867608e+17,
-1.811459261308158e+18, 7.539120925634905e+18, -2.657540126286304e+19, 7.972620378858912e+19, -2.042658293145551e+20,
4.479513800757788e+20, -8.416770667739633e+20, 1.354699278902855e+21, -1.864910695632502e+21, 2.189242990525111e+21,
-2.181310950704368e+21, 1.832301198591669e+21, -1.285429763935079e+21, 7.434251911077520e+20, -3.481117958361696e+20,
1.286127324517868e+20, -3.607069737728273e+19, 7.214139475456547e+18, -9.163120704712953e+17, 5.553406487704820e+16,
0.000000000000000e-01, 7.143214682034540e+02, -1.714133648848133e+05, 1.688198752795928e+07, -9.347155797218437e+08,
3.338933321339879e+10, -8.331872976904955e+11, 1.530331866800279e+13, -2.146891160964000e+14, 2.364531150945150e+15,
-2.087974965454055e+16, 1.502766434956253e+17, -8.930913114593062e+17, 4.428285547618542e+18, -1.847053591535166e+19,
6.522650112096549e+19, -1.959752299775458e+20, 5.027465769775919e+20, -1.103711061615762e+21, 2.075747280986809e+21,
-3.343657099618051e+21, 4.606186697816854e+21, -5.410587449851726e+21, 5.393904740095235e+21, -4.533054367123241e+21,
3.181470251931304e+21, -1.840698151594781e+21, 8.622096114618880e+20, -3.186487205259235e+20, 8.939310241964093e+19,
-1.788315002192243e+19, 2.271972224754086e+18, -1.377242653770284e+17, 0.000000000000000e-01, -2.859599139140576e+02,
1.263498115660723e+05, -1.563762114667972e+07, 9.735262028286150e+08, -3.727077001705718e+10, 9.724728419064618e+11,
-1.841437932011095e+13, 2.640184847320257e+14, -2.955001754223333e+15, 2.641501188215526e+16, -1.919333187312935e+17,
1.149300695265413e+18, -5.733477927220639e+18, 2.403400433666191e+19, -8.522440623029794e+19, 2.569470483161848e+20,
-6.610937005531425e+20, 1.454972285683492e+21, -2.742254919882459e+21, 4.425523119288710e+21, -6.106476088763322e+21,
7.183124069502222e+21, -7.170000472640595e+21, 6.032425263760434e+21, -4.238001893187230e+21, 2.454158919196046e+21,
-1.150483843370953e+21, 4.254938488755735e+20, -1.194452209653931e+20, 2.390927098916194e+19, -3.039204212011252e+18,
1.843238572103207e+17, 0.000000000000000e-01, 1.634368826450262e+02, -7.956978254181237e+04, 1.188506225092293e+07,
-8.373897346830345e+08, 3.478333876388285e+10, -9.598393772867426e+11, 1.891593013667364e+13, -2.793128536050818e+14,
3.196655214719607e+15, -2.907291848273606e+16, 2.141468780998689e+17, -1.296440193900301e+18, 6.525499955570070e+18,
-2.755634128784674e+19, 9.831738858873329e+19, -2.979627701541287e+20, 7.700118175018154e+20, -1.701110443974214e+21,
3.216663602425906e+21, -5.205922417479511e+21, 7.201199888459469e+21, -8.489441777094031e+21, 8.490373918346112e+21,
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0.000000000000000e-01, -5.907497514106532e+00, 3.112678595829013e+03, -5.445178292388210e+05, 4.734677219183480e+07,
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5.270000000000000e+02, -9.222500000000000e+04, 8.023575000000000e+06, -4.156211850000000e+08, 1.421424452700000e+10,
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5.411505823554421e+16, -3.122022590512166e+17, 1.499257002256941e+18, -6.039863923377964e+18, 2.053553733948508e+19,
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1.049012266293282e+21, -1.140230724231829e+21, 1.041080226472539e+21, -7.912209721191298e+20, 4.942087918159488e+20,
-2.492163992918032e+20, 9.889539654436636e+19, -2.971733590742043e+19, 6.353361469862300e+18, -8.607780055942471e+17,
5.553406487704820e+16, };

static const double *fem_coeff_gausslob[] =
  { 0, fem_coef_gausslob_1, fem_coef_gausslob_2, fem_coef_gausslob_3,
fem_coef_gausslob_4, fem_coef_gausslob_5, fem_coef_gausslob_6, fem_coef_gausslob_7, fem_coef_gausslob_8,
fem_coef_gausslob_9, fem_coef_gausslob_10, fem_coef_gausslob_11, fem_coef_gausslob_12, fem_coef_gausslob_13,
fem_coef_gausslob_14, 0, fem_coef_gausslob_16, 0, 0, 0, 0, 0, 0, 0, fem_coef_gausslob_24, 0, 0, 0, 0, 0, 0, 0,
fem_coef_gausslob_32, };

const unsigned fem_coeff_gausslob_max_k = 33;