The GFZ-GRGS satellite-only gravity field model EIGEN-6S ========================================================= Contact: Christoph Foerste e-mail: foer@gfz-potsdam.de Reference: ---------- Christoph Förste (1), Sean Bruinsma (3), Richard Shako (1), Jean-Charles Marty (3), Frank Flechtner (2), Oleh Abrikosov (1), Christoph Dahle (2), Jean-Michel Lemoine (3), Hans Neumayer (2), Richard Biancale (3), Franz Barthelmes (1), Rolf König (2) and Georges Balmino (3) (2011), EIGEN-6 - A new combined global gravity field model including GOCE data from the collaboration of GFZ-Potsdam and GRGS-Toulouse, Geophysical Research Abstracts Vol. 13, EGU2011-3242-2, 2011 EGU General Assembly 2011 (1) GeoForschungsZentrum Potsdam Dept. 1 'Geodesy and Remote Sensing' Telegrafenberg, D-14473 Potsdam Germany e-mail: foer@gfz-potsdam.de fax: ++49 331 288 1169 (2) GeoForschungsZentrum Potsdam Department 1 'Geodesy and Remote Sensing' c/o DLR Oberpfaffenhofen, D-82234 Weßling Germany e-mail: flechtne@gfz-potsdam.de fax: ++49 331 288 1169 (3) Groupe de Recherche de Geodesie Spatiale 18, avenue Edouard Belin, F-31055 Toulouse France e-mail: richard.biancale@cnes.fr fax: ++33 5 61 253098) EIGEN-6S is a satellite-only gravity field of a maximum segree/order 240 It consists of 6.5 years of LAGEOS (SLR) and GRACE (GPS-SST and K-band range rate) data from the time span 1 Jan 2003 till 30 June 2009 and 6.7 months of GOCE (Satellite gradiometry) data from the time span 1 Nov 2009 till 30 June 2010. This gravity field model contains time variable parameters (gfct, trnd, acos, asin, t0 and period) up to d/o 50. The computation of the values of the time variable spherical coefficients G at a certain epoch t must be done by applying the drift parameters trnd as well as the periodic terms acos and asin in the following way. In the given rule the two periodic terms are denoted by asin1/acos1 and asin2/acos2 in accordance with the two periods p1 = 1.0 year and p2 = 0.5 year. The reference epoch is denoted by t0. G(t)=gfct + trnd*(t-t0) + asin1*sin(2pi/p1*(t-t0))+acos1*cos(2pi/p1*(t-t0)) + asin2*sin(2pi/p2*(t-t0))+acos2*cos(2pi/p2*(t-t0)) The details of the format description are available at http://icgem.gfz-potsdam.de/ICGEM/documents/ICGEM-Format-2011.pdf begin_of_head ===================================== product_type gravity_field modelname EIGEN-6S earth_gravity_constant 0.3986004415E+15 radius 0.6378136460E+07 max_degree 240 tide_system tide_free errors formal norm fully_normalized key L M C S sigma C sigma S t0[yyyymmdd] period[y] end_of_head =========================================================================== gfc 0 0 1.00000000000e+00 0.000000000000e+00 0.0000e+00 0.0000e+00 gfc 1 0 0.00000000000e+00 0.000000000000e+00 0.0000e+00 0.0000e+00 gfct 2 0 -4.84165299820e-04 0.000000000000e+00 1.9551e-13 0.0000e+00 20050101 trnd 2 0 -1.26059939709e-11 0.000000000000e+00 3.2397e-14 0.0000e+00 acos 2 0 4.10019292536e-11 0.000000000000e+00 1.8982e-13 0.0000e+00 1.0 asin 2 0 5.32367408468e-11 0.000000000000e+00 1.9687e-13 0.0000e+00 1.0 acos 2 0 3.33920225943e-11 0.000000000000e+00 1.8895e-13 0.0000e+00 0.5 asin 2 0 -2.44369818145e-11 0.000000000000e+00 1.9226e-13 0.0000e+00 0.5 gfct 3 0 9.57211326674e-07 0.000000000000e+00 1.6633e-13 0.0000e+00 20050101 trnd 3 0 -8.37191630994e-12 0.000000000000e+00 5.0223e-14 0.0000e+00 acos 3 0 -1.76087178236e-11 0.000000000000e+00 2.2856e-13 0.0000e+00 1.0 asin 3 0 9.47617140143e-11 0.000000000000e+00 2.2805e-13 0.0000e+00 1.0 acos 3 0 1.06252954726e-11 0.000000000000e+00 1.8672e-13 0.0000e+00 0.5 asin 3 0 -9.12524501214e-12 0.000000000000e+00 1.8822e-13 0.0000e+00 0.5 gfct 4 0 5.39990167207e-07 0.000000000000e+00 6.3043e-14 0.0000e+00 20050101 trnd 4 0 1.24909421173e-12 0.000000000000e+00 2.8238e-14 0.0000e+00 acos 4 0 -7.55038367226e-12 0.000000000000e+00 7.4403e-14 0.0000e+00 1.0 asin 4 0 -3.49716489378e-12 0.000000000000e+00 7.2354e-14 0.0000e+00 1.0 acos 4 0 8.18242215021e-12 0.000000000000e+00 7.4295e-14 0.0000e+00 0.5 asin 4 0 -1.53713963319e-11 0.000000000000e+00 7.3418e-14 0.0000e+00 0.5 gfct 5 0 6.86846073356e-08 0.000000000000e+00 4.4744e-14 0.0000e+00 20050101 trnd 5 0 -5.03331312798e-12 0.000000000000e+00 2.0225e-14 0.0000e+00 acos 5 0 5.08586422895e-12 0.000000000000e+00 5.2575e-14 0.0000e+00 1.0 asin 5 0 -1.05986426825e-10 0.000000000000e+00 5.1205e-14 0.0000e+00 1.0 acos 5 0 2.22804747737e-12 0.000000000000e+00 5.2535e-14 0.0000e+00 0.5 asin 5 0 8.82533944194e-13 0.000000000000e+00 5.1898e-14 0.0000e+00 0.5 gfct 6 0 -1.49953256913e-07 0.000000000000e+00 3.6534e-14 0.0000e+00 20050101 trnd 6 0 -7.73830889350e-12 0.000000000000e+00 1.6564e-14 0.0000e+00 acos 6 0 -6.19878943090e-12 0.000000000000e+00 4.2715e-14 0.0000e+00 1.0 asin 6 0 -3.73841861847e-11 0.000000000000e+00 4.1595e-14 0.0000e+00 1.0 acos 6 0 -7.32310151927e-13 0.000000000000e+00 4.2728e-14 0.0000e+00 0.5 asin 6 0 6.65272997479e-12 0.000000000000e+00 4.2184e-14 0.0000e+00 0.5 gfct 7 0 9.05144359960e-08 0.000000000000e+00 3.1602e-14 0.0000e+00 20050101 trnd 7 0 -4.91409724444e-12 0.000000000000e+00 1.4267e-14 0.0000e+00 acos 7 0 -5.11090428201e-12 0.000000000000e+00 3.6891e-14 0.0000e+00 1.0 asin 7 0 2.98430581971e-11 0.000000000000e+00 3.5989e-14 0.0000e+00 1.0 acos 7 0 7.70762949941e-13 0.000000000000e+00 3.6921e-14 0.0000e+00 0.5 asin 7 0 3.48874995179e-12 0.000000000000e+00 3.6460e-14 0.0000e+00 0.5 gfct 8 0 4.94844799157e-08 0.000000000000e+00 2.8498e-14 0.0000e+00 20050101 trnd 8 0 -9.15701953791e-14 0.000000000000e+00 1.2851e-14 0.0000e+00 acos 8 0 -1.13032975443e-11 0.000000000000e+00 3.3228e-14 0.0000e+00 1.0 asin 8 0 -3.68297845398e-12 0.000000000000e+00 3.2379e-14 0.0000e+00 1.0 acos 8 0 3.98883599726e-12 0.000000000000e+00 3.3237e-14 0.0000e+00 0.5 asin 8 0 -3.37176804698e-12 0.000000000000e+00 3.2821e-14 0.0000e+00 0.5 gfct 9 0 2.80157974039e-08 0.000000000000e+00 2.6415e-14 0.0000e+00 20050101 trnd 9 0 -5.93301274237e-13 0.000000000000e+00 1.1873e-14 0.0000e+00 acos 9 0 1.97787122397e-12 0.000000000000e+00 3.0727e-14 0.0000e+00 1.0 asin 9 0 -2.72979610542e-11 0.000000000000e+00 3.0039e-14 0.0000e+00 1.0 acos 9 0 1.12198529723e-12 0.000000000000e+00 3.0778e-14 0.0000e+00 0.5 asin 9 0 8.80892165135e-13 0.000000000000e+00 3.0391e-14 0.0000e+00 0.5 gfct 10 0 5.33306352739e-08 0.000000000000e+00 2.5014e-14 0.0000e+00 20050101 trnd 10 0 4.55061538197e-12 0.000000000000e+00 1.1226e-14 0.0000e+00 acos 10 0 6.62098476312e-12 0.000000000000e+00 2.9053e-14 0.0000e+00 1.0 asin 10 0 -2.84959947162e-12 0.000000000000e+00 2.8365e-14 0.0000e+00 1.0 acos 10 0 -2.72764010571e-12 0.000000000000e+00 2.9080e-14 0.0000e+00 0.5 asin 10 0 4.67669237123e-12 0.000000000000e+00 2.8710e-14 0.0000e+00 0.5 gfct 11 0 -5.07693148338e-08 0.000000000000e+00 2.4024e-14 0.0000e+00 20050101 trnd 11 0 2.27105661836e-12 0.000000000000e+00 1.0761e-14 0.0000e+00 acos 11 0 -1.83556483603e-12 0.000000000000e+00 2.7848e-14 0.0000e+00 1.0 asin 11 0 8.47851083397e-12 0.000000000000e+00 2.7264e-14 0.0000e+00 1.0 acos 11 0 -1.87508272089e-12 0.000000000000e+00 2.7916e-14 0.0000e+00 0.5 asin 11 0 9.03511215867e-13 0.000000000000e+00 2.7553e-14 0.0000e+00 0.5 gfct 12 0 3.64371824368e-08 0.000000000000e+00 2.3376e-14 0.0000e+00 20050101 trnd 12 0 2.83183861662e-12 0.000000000000e+00 1.0458e-14 0.0000e+00 acos 12 0 -3.27584079104e-12 0.000000000000e+00 2.7085e-14 0.0000e+00 1.0 asin 12 0 -2.49303708847e-12 0.000000000000e+00 2.6481e-14 0.0000e+00 1.0 acos 12 0 3.23615662649e-13 0.000000000000e+00 2.7134e-14 0.0000e+00 0.5 asin 12 0 -1.07384637633e-12 0.000000000000e+00 2.6763e-14 0.0000e+00 0.5 gfct 13 0 4.17297617898e-08 0.000000000000e+00 2.2946e-14 0.0000e+00 20050101 trnd 13 0 2.69422088483e-13 0.000000000000e+00 1.0246e-14 0.0000e+00 acos 13 0 8.32466983785e-13 0.000000000000e+00 2.6521e-14 0.0000e+00 1.0 asin 13 0 -3.72569097677e-12 0.000000000000e+00 2.6023e-14 0.0000e+00 1.0 acos 13 0 2.92985888778e-13 0.000000000000e+00 2.6619e-14 0.0000e+00 0.5 asin 13 0 2.01591138722e-13 0.000000000000e+00 2.6258e-14 0.0000e+00 0.5 gfct 14 0 -2.26693412020e-08 0.000000000000e+00 2.2729e-14 0.0000e+00 20050101 trnd 14 0 9.45191483415e-13 0.000000000000e+00 1.0141e-14 0.0000e+00 acos 14 0 4.40766092237e-12 0.000000000000e+00 2.6265e-14 0.0000e+00 1.0 asin 14 0 7.28605731204e-12 0.000000000000e+00 2.5729e-14 0.0000e+00 1.0 acos 14 0 -2.44695826609e-12 0.000000000000e+00 2.6340e-14 0.0000e+00 0.5 asin 14 0 2.17674108439e-13 0.000000000000e+00 2.5980e-14 0.0000e+00 0.5 gfct 15 0 2.19214001007e-09 0.000000000000e+00 2.2640e-14 0.0000e+00 20050101 trnd 15 0 -8.32695145062e-13 0.000000000000e+00 1.0089e-14 0.0000e+00 acos 15 0 -1.74180175129e-12 0.000000000000e+00 2.6125e-14 0.0000e+00 1.0 asin 15 0 7.42280434777e-12 0.000000000000e+00 2.5633e-14 0.0000e+00 1.0 acos 15 0 -4.40412379141e-13 0.000000000000e+00 2.6218e-14 0.0000e+00 0.5 asin 15 0 -2.26761161543e-12 0.000000000000e+00 2.5870e-14 0.0000e+00 0.5 gfct 16 0 -4.71140253930e-09 0.000000000000e+00 2.2693e-14 0.0000e+00 20050101 trnd 16 0 2.17336089728e-14 0.000000000000e+00 1.0108e-14 0.0000e+00 acos 16 0 -3.18452338442e-12 0.000000000000e+00 2.6188e-14 0.0000e+00 1.0 asin 16 0 9.41225146240e-13 0.000000000000e+00 2.5651e-14 0.0000e+00 1.0 acos 16 0 1.19206912209e-13 0.000000000000e+00 2.6263e-14 0.0000e+00 0.5 asin 16 0 -1.26927276490e-12 0.000000000000e+00 2.5902e-14 0.0000e+00 0.5 gfct 17 0 1.91863444922e-08 0.000000000000e+00 2.2868e-14 0.0000e+00 20050101 trnd 17 0 -9.23175806347e-13 0.000000000000e+00 1.0175e-14 0.0000e+00 acos 17 0 -2.18210910215e-12 0.000000000000e+00 2.6343e-14 0.0000e+00 1.0 asin 17 0 -2.16281384195e-12 0.000000000000e+00 2.5845e-14 0.0000e+00 1.0 acos 17 0 6.47413397352e-13 0.000000000000e+00 2.6442e-14 0.0000e+00 0.5 asin 17 0 6.64335867500e-13 0.000000000000e+00 2.6080e-14 0.0000e+00 0.5 gfct 18 0 6.09853065377e-09 0.000000000000e+00 2.3127e-14 0.0000e+00 20050101 trnd 18 0 6.92153421709e-14 0.000000000000e+00 1.0284e-14 0.0000e+00 acos 18 0 1.62714075526e-12 0.000000000000e+00 2.6635e-14 0.0000e+00 1.0 asin 18 0 2.69856829470e-14 0.000000000000e+00 2.6110e-14 0.0000e+00 1.0 acos 18 0 -7.97477040298e-13 0.000000000000e+00 2.6720e-14 0.0000e+00 0.5 asin 18 0 -6.58326235666e-13 0.000000000000e+00 2.6360e-14 0.0000e+00 0.5 gfct 19 0 -3.30297952388e-09 0.000000000000e+00 2.3499e-14 0.0000e+00 20050101 trnd 19 0 -6.37599735472e-17 0.000000000000e+00 1.0440e-14 0.0000e+00 acos 19 0 -1.73856227318e-13 0.000000000000e+00 2.7029e-14 0.0000e+00 1.0 asin 19 0 3.80223773377e-12 0.000000000000e+00 2.6522e-14 0.0000e+00 1.0 acos 19 0 -6.70137224680e-13 0.000000000000e+00 2.7126e-14 0.0000e+00 0.5 asin 19 0 2.60858579014e-13 0.000000000000e+00 2.6769e-14 0.0000e+00 0.5 gfct 20 0 2.15589012188e-08 0.000000000000e+00 2.3933e-14 0.0000e+00 20050101 trnd 20 0 4.90693220406e-14 0.000000000000e+00 1.0628e-14 0.0000e+00 acos 20 0 -4.85460222037e-13 0.000000000000e+00 2.7519e-14 0.0000e+00 1.0 asin 20 0 1.06264343601e-12 0.000000000000e+00 2.6984e-14 0.0000e+00 1.0 acos 20 0 -8.03761263943e-13 0.000000000000e+00 2.7610e-14 0.0000e+00 0.5 asin 20 0 1.65869803886e-12 0.000000000000e+00 2.7242e-14 0.0000e+00 0.5 gfct 21 0 6.25139016443e-09 0.000000000000e+00 2.4528e-14 0.0000e+00 20050101 trnd 21 0 8.10716584318e-14 0.000000000000e+00 1.0885e-14 0.0000e+00 acos 21 0 7.37450314582e-13 0.000000000000e+00 2.8174e-14 0.0000e+00 1.0 asin 21 0 -3.02696506312e-12 0.000000000000e+00 2.7644e-14 0.0000e+00 1.0 acos 21 0 -2.40313748287e-13 0.000000000000e+00 2.8279e-14 0.0000e+00 0.5 asin 21 0 -3.84278549310e-13 0.000000000000e+00 2.7902e-14 0.0000e+00 0.5 gfct 22 0 -1.07777747816e-08 0.000000000000e+00 2.5154e-14 0.0000e+00 20050101 trnd 22 0 1.05305055546e-13 0.000000000000e+00 1.1161e-14 0.0000e+00 acos 22 0 -4.41371183051e-13 0.000000000000e+00 2.8884e-14 0.0000e+00 1.0 asin 22 0 -3.42623528703e-12 0.000000000000e+00 2.8331e-14 0.0000e+00 1.0 acos 22 0 7.81362273611e-13 0.000000000000e+00 2.8988e-14 0.0000e+00 0.5 asin 22 0 -6.89546841896e-14 0.000000000000e+00 2.8598e-14 0.0000e+00 0.5 gfct 23 0 -2.22587080609e-08 0.000000000000e+00 2.5895e-14 0.0000e+00 20050101 trnd 23 0 1.19655801242e-12 0.000000000000e+00 1.1483e-14 0.0000e+00 acos 23 0 -5.71599372729e-13 0.000000000000e+00 2.9708e-14 0.0000e+00 1.0 asin 23 0 -2.05994818601e-13 0.000000000000e+00 2.9148e-14 0.0000e+00 1.0 acos 23 0 8.73340519441e-13 0.000000000000e+00 2.9821e-14 0.0000e+00 0.5 asin 23 0 1.51655303974e-12 0.000000000000e+00 2.9422e-14 0.0000e+00 0.5 gfct 24 0 -7.30523772107e-11 0.000000000000e+00 2.6670e-14 0.0000e+00 20050101 trnd 24 0 1.05683888218e-14 0.000000000000e+00 1.1824e-14 0.0000e+00 acos 24 0 -6.90279772269e-13 0.000000000000e+00 3.0586e-14 0.0000e+00 1.0 asin 24 0 4.21879034270e-13 0.000000000000e+00 3.0002e-14 0.0000e+00 1.0 acos 24 0 8.49117522399e-13 0.000000000000e+00 3.0698e-14 0.0000e+00 0.5 asin 24 0 1.31100725354e-12 0.000000000000e+00 3.0289e-14 0.0000e+00 0.5 gfct 25 0 3.20621655299e-09 0.000000000000e+00 2.7566e-14 0.0000e+00 20050101 trnd 25 0 3.90184031317e-13 0.000000000000e+00 1.2215e-14 0.0000e+00 acos 25 0 1.35339570065e-12 0.000000000000e+00 3.1589e-14 0.0000e+00 1.0 asin 25 0 -7.87793127167e-13 0.000000000000e+00 3.0985e-14 0.0000e+00 1.0 acos 25 0 4.39855996129e-13 0.000000000000e+00 3.1705e-14 0.0000e+00 0.5 asin 25 0 -1.35647895796e-13 0.000000000000e+00 3.1285e-14 0.0000e+00 0.5 gfct 26 0 5.89377710595e-09 0.000000000000e+00 2.8499e-14 0.0000e+00 20050101 trnd 26 0 -1.21491265702e-12 0.000000000000e+00 1.2623e-14 0.0000e+00 acos 26 0 5.00142014849e-13 0.000000000000e+00 3.2634e-14 0.0000e+00 1.0 asin 26 0 -7.98263296867e-13 0.000000000000e+00 3.2012e-14 0.0000e+00 1.0 acos 26 0 1.20721256091e-12 0.000000000000e+00 3.2754e-14 0.0000e+00 0.5 asin 26 0 -8.52069746347e-13 0.000000000000e+00 3.2324e-14 0.0000e+00 0.5 gfct 27 0 3.61385501003e-09 0.000000000000e+00 2.9546e-14 0.0000e+00 20050101 trnd 27 0 9.34206958502e-13 0.000000000000e+00 1.3079e-14 0.0000e+00 acos 27 0 2.25123226737e-13 0.000000000000e+00 3.3808e-14 0.0000e+00 1.0 asin 27 0 2.91949754135e-13 0.000000000000e+00 3.3157e-14 0.0000e+00 1.0 acos 27 0 -4.25893685692e-13 0.000000000000e+00 3.3929e-14 0.0000e+00 0.5 asin 27 0 3.33804729101e-13 0.000000000000e+00 3.3481e-14 0.0000e+00 0.5 gfct 28 0 -9.77319967126e-09 0.000000000000e+00 3.0649e-14 0.0000e+00 20050101 trnd 28 0 -7.25067764738e-13 0.000000000000e+00 1.3562e-14 0.0000e+00 acos 28 0 6.34205897899e-13 0.000000000000e+00 3.5036e-14 0.0000e+00 1.0 asin 28 0 3.70460198718e-13 0.000000000000e+00 3.4364e-14 0.0000e+00 1.0 acos 28 0 -1.23653757499e-12 0.000000000000e+00 3.5163e-14 0.0000e+00 0.5 asin 28 0 5.84416106159e-13 0.000000000000e+00 3.4702e-14 0.0000e+00 0.5 gfct 29 0 -5.27874780565e-09 0.000000000000e+00 3.1851e-14 0.0000e+00 20050101 trnd 29 0 3.60158272413e-13 0.000000000000e+00 1.4080e-14 0.0000e+00 acos 29 0 -3.27593760192e-13 0.000000000000e+00 3.6370e-14 0.0000e+00 1.0 asin 29 0 3.31285386875e-13 0.000000000000e+00 3.5657e-14 0.0000e+00 1.0 acos 29 0 -4.83642234016e-13 0.000000000000e+00 3.6455e-14 0.0000e+00 0.5 asin 29 0 -5.15880594035e-13 0.000000000000e+00 3.5965e-14 0.0000e+00 0.5 gfct 30 0 6.25607876135e-09 0.000000000000e+00 3.3132e-14 0.0000e+00 20050101 trnd 30 0 -2.56107229155e-13 0.000000000000e+00 1.4638e-14 0.0000e+00 acos 30 0 -4.98288531117e-13 0.000000000000e+00 3.7785e-14 0.0000e+00 1.0 asin 30 0 6.61688158243e-13 0.000000000000e+00 3.7045e-14 0.0000e+00 1.0 acos 30 0 -7.79895911877e-13 0.000000000000e+00 3.7872e-14 0.0000e+00 0.5 asin 30 0 -7.68342662959e-13 0.000000000000e+00 3.7363e-14 0.0000e+00 0.5 gfct 31 0 6.75893986592e-09 0.000000000000e+00 3.4482e-14 0.0000e+00 20050101 trnd 31 0 6.52573003010e-13 0.000000000000e+00 1.5207e-14 0.0000e+00 acos 31 0 -3.72635028116e-14 0.000000000000e+00 3.9253e-14 0.0000e+00 1.0 asin 31 0 -1.55112946574e-13 0.000000000000e+00 3.8423e-14 0.0000e+00 1.0 acos 31 0 1.19817258331e-13 0.000000000000e+00 3.9104e-14 0.0000e+00 0.5 asin 31 0 -1.74446980749e-13 0.000000000000e+00 3.8506e-14 0.0000e+00 0.5 gfct 32 0 -2.40074864206e-09 0.000000000000e+00 3.5957e-14 0.0000e+00 20050101 trnd 32 0 -5.30763732913e-13 0.000000000000e+00 1.5843e-14 0.0000e+00 acos 32 0 4.42120653890e-13 0.000000000000e+00 4.0849e-14 0.0000e+00 1.0 asin 32 0 -9.58264955046e-13 0.000000000000e+00 3.9989e-14 0.0000e+00 1.0 acos 32 0 2.86641796679e-13 0.000000000000e+00 4.0693e-14 0.0000e+00 0.5 asin 32 0 4.08242292464e-13 0.000000000000e+00 4.0076e-14 0.0000e+00 0.5 gfct 33 0 -3.63467046286e-09 0.000000000000e+00 3.7533e-14 0.0000e+00 20050101 trnd 33 0 1.13521401916e-13 0.000000000000e+00 1.6515e-14 0.0000e+00 acos 33 0 1.48899150446e-13 0.000000000000e+00 4.2527e-14 0.0000e+00 1.0 asin 33 0 2.56740525292e-13 0.000000000000e+00 4.1632e-14 0.0000e+00 1.0 acos 33 0 4.86334867498e-14 0.000000000000e+00 4.2360e-14 0.0000e+00 0.5 asin 33 0 3.22314084946e-13 0.000000000000e+00 4.1729e-14 0.0000e+00 0.5 gfct 34 0 -8.93585134127e-09 0.000000000000e+00 3.9206e-14 0.0000e+00 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