t       rel_error_r       rel_error_v
    0.00000000e+00    0.00000000e+00    1.42108547e-16
    1.56250000e-03    2.83593851e-06    7.34699731e-06
    3.12500000e-03    5.67185031e-06    1.46939944e-05
    4.68750000e-03    8.50769076e-06    2.20409434e-05
    6.25000000e-03    1.13434152e-05    2.93877967e-05
    7.81250000e-03    1.41789790e-05    3.67345064e-05
    9.37500000e-03    1.70143376e-05    4.40810249e-05
    1.09375000e-02    1.98494463e-05    5.14273043e-05
    1.25000000e-02    2.26842606e-05    5.87732970e-05
    1.40625000e-02    2.55187360e-05    6.61189553e-05
    1.56250000e-02    2.83528280e-05    7.34642314e-05
    1.71875000e-02    3.11864920e-05    8.08090778e-05
    1.87500000e-02    3.40196837e-05    8.81534466e-05
    2.03125000e-02    3.68523587e-05    9.54972905e-05
    2.18750000e-02    3.96844727e-05    1.02840562e-04
    2.34375000e-02    4.25159815e-05    1.10183213e-04
    2.50000000e-02    4.53468408e-05    1.17525196e-04
    2.65625000e-02    4.81770065e-05    1.24866464e-04
    2.81250000e-02    5.10064346e-05    1.32206969e-04
    2.96875000e-02    5.38350810e-05    1.39546664e-04
    3.12500000e-02    5.66629019e-05    1.46885502e-04
    3.28125000e-02    5.94898534e-05    1.54223435e-04
    3.43750000e-02    6.23158918e-05    1.61560416e-04
    3.59375000e-02    6.51409735e-05    1.68896398e-04
    3.75000000e-02    6.79650550e-05    1.76231333e-04
    3.90625000e-02    7.07880927e-05    1.83565175e-04
    4.06250000e-02    7.36100433e-05    1.90897875e-04
    4.21875000e-02    7.64308636e-05    1.98229389e-04
    4.37500000e-02    7.92505105e-05    2.05559667e-04
    4.53125000e-02    8.20689411e-05    2.12888665e-04
    4.68750000e-02    8.48861123e-05    2.20216333e-04
    4.84375000e-02    8.77019814e-05    2.27542627e-04
    5.00000000e-02    9.05165059e-05    2.34867499e-04
    5.15625000e-02    9.33296433e-05    2.42190903e-04
    5.31250000e-02    9.61413511e-05    2.49512792e-04
    5.46875000e-02    9.89515872e-05    2.56833119e-04
    5.62500000e-02    1.01760310e-04    2.64151839e-04
    5.78125000e-02    1.04567476e-04    2.71468905e-04
    5.93750000e-02    1.07373045e-04    2.78784270e-04
    6.09375000e-02    1.10176975e-04    2.86097889e-04
    6.25000000e-02    1.12979225e-04    2.93409716e-04
    6.40625000e-02    1.15779753e-04    3.00719705e-04
    6.56250000e-02    1.18578518e-04    3.08027809e-04
    6.71875000e-02    1.21375479e-04    3.15333984e-04
    6.87500000e-02    1.24170595e-04    3.22638183e-04
    7.03125000e-02    1.26963827e-04    3.29940360e-04
    7.18750000e-02    1.29755132e-04    3.37240472e-04
    7.34375000e-02    1.32544472e-04    3.44538471e-04
    7.50000000e-02    1.35331806e-04    3.51834313e-04
    7.65625000e-02    1.38117095e-04    3.59127953e-04
    7.81250000e-02    1.40900298e-04    3.66419345e-04
    7.96875000e-02    1.43681376e-04    3.73708445e-04
    8.12500000e-02    1.46460291e-04    3.80995209e-04
    8.28125000e-02    1.49237003e-04    3.88279590e-04
    8.43750000e-02    1.52011473e-04    3.95561545e-04
    8.59375000e-02    1.54783662e-04    4.02841029e-04
    8.75000000e-02    1.57553533e-04    4.10117998e-04
    8.90625000e-02    1.60321047e-04    4.17392408e-04
    9.06250000e-02    1.63086167e-04    4.24664215e-04
    9.21875000e-02    1.65848853e-04    4.31933374e-04
    9.37500000e-02    1.68609070e-04    4.39199843e-04
    9.53125000e-02    1.71366780e-04    4.46463576e-04
    9.68750000e-02    1.74121945e-04    4.53724531e-04
    9.84375000e-02    1.76874530e-04    4.60982665e-04
    1.00000000e-01    1.79624496e-04    4.68237933e-04
    1.01562500e-01    1.82371810e-04    4.75490293e-04
    1.03125000e-01    1.85116433e-04    4.82739703e-04
    1.04687500e-01    1.87858330e-04    4.89986118e-04
    1.06250000e-01    1.90597467e-04    4.97229497e-04
    1.07812500e-01    1.93333807e-04    5.04469796e-04
    1.09375000e-01    1.96067316e-04    5.11706974e-04
    1.10937500e-01    1.98797958e-04    5.18940988e-04
    1.12500000e-01    2.01525700e-04    5.26171797e-04
    1.14062500e-01    2.04250507e-04    5.33399357e-04
    1.15625000e-01    2.06972345e-04    5.40623628e-04
    1.17187500e-01    2.09691180e-04    5.47844568e-04
    1.18750000e-01    2.12406979e-04    5.55062135e-04
    1.20312500e-01    2.15119709e-04    5.62276289e-04
    1.21875000e-01    2.17829338e-04    5.69486987e-04
    1.23437500e-01    2.20535831e-04    5.76694189e-04
    1.25000000e-01    2.23239157e-04    5.83897855e-04
    1.26562500e-01    2.25939285e-04    5.91097943e-04
    1.28125000e-01    2.28636181e-04    5.98294413e-04
    1.29687500e-01    2.31329816e-04    6.05487225e-04
    1.31250000e-01    2.34020157e-04    6.12676339e-04
    1.32812500e-01    2.36707173e-04    6.19861715e-04
    1.34375000e-01    2.39390835e-04    6.27043313e-04
    1.35937500e-01    2.42071112e-04    6.34221093e-04
    1.37500000e-01    2.44747973e-04    6.41395017e-04
    1.39062500e-01    2.47421390e-04    6.48565045e-04
    1.40625000e-01    2.50091332e-04    6.55731138e-04
    1.42187500e-01    2.52757770e-04    6.62893257e-04
    1.43750000e-01    2.55420677e-04    6.70051363e-04
    1.45312500e-01    2.58080022e-04    6.77205419e-04
    1.46875000e-01    2.60735779e-04    6.84355385e-04
    1.48437500e-01    2.63387918e-04    6.91501224e-04
    1.50000000e-01    2.66036414e-04    6.98642898e-04
    1.51562500e-01    2.68681237e-04    7.05780369e-04
    1.53125000e-01    2.71322361e-04    7.12913601e-04
    1.54687500e-01    2.73959761e-04    7.20042554e-04
    1.56250000e-01    2.76593408e-04    7.27167193e-04
    1.57812500e-01    2.79223277e-04    7.34287480e-04
    1.59375000e-01    2.81849343e-04    7.41403380e-04
    1.60937500e-01    2.84471580e-04    7.48514854e-04
    1.62500000e-01    2.87089962e-04    7.55621868e-04
    1.64062500e-01    2.89704466e-04    7.62724385e-04
    1.65625000e-01    2.92315066e-04    7.69822369e-04
    1.67187500e-01    2.94921738e-04    7.76915784e-04
    1.68750000e-01    2.97524459e-04    7.84004596e-04
    1.70312500e-01    3.00123205e-04    7.91088769e-04
    1.71875000e-01    3.02717953e-04    7.98168267e-04
    1.73437500e-01    3.05308679e-04    8.05243056e-04
    1.75000000e-01    3.07895362e-04    8.12313102e-04
    1.76562500e-01    3.10477979e-04    8.19378370e-04
    1.78125000e-01    3.13056508e-04    8.26438826e-04
    1.79687500e-01    3.15630927e-04    8.33494437e-04
    1.81250000e-01    3.18201216e-04    8.40545167e-04
    1.82812500e-01    3.20767352e-04    8.47590984e-04
    1.84375000e-01    3.23329316e-04    8.54631855e-04
    1.85937500e-01    3.25887088e-04    8.61667746e-04
    1.87500000e-01    3.28440646e-04    8.68698625e-04
    1.89062500e-01    3.30989972e-04    8.75724459e-04
    1.90625000e-01    3.33535046e-04    8.82745216e-04
    1.92187500e-01    3.36075849e-04    8.89760863e-04
    1.93750000e-01    3.38612362e-04    8.96771369e-04
    1.95312500e-01    3.41144567e-04    9.03776702e-04
    1.96875000e-01    3.43672446e-04    9.10776831e-04
    1.98437500e-01    3.46195981e-04    9.17771723e-04
    2.00000000e-01    3.48715154e-04    9.24761349e-04
    2.01562500e-01    3.51229948e-04    9.31745677e-04
    2.03125000e-01    3.53740347e-04    9.38724678e-04
    2.04687500e-01    3.56246334e-04    9.45698319e-04
    2.06250000e-01    3.58747893e-04    9.52666573e-04
    2.07812500e-01    3.61245008e-04    9.59629408e-04
    2.09375000e-01    3.63737663e-04    9.66586795e-04
    2.10937500e-01    3.66225843e-04    9.73538705e-04
    2.12500000e-01    3.68709534e-04    9.80485109e-04
    2.14062500e-01    3.71188720e-04    9.87425977e-04
    2.15625000e-01    3.73663387e-04    9.94361282e-04
    2.17187500e-01    3.76133522e-04    1.00129099e-03
    2.18750000e-01    3.78599111e-04    1.00821509e-03
    2.20312500e-01    3.81060139e-04    1.01513353e-03
    2.21875000e-01    3.83516595e-04    1.02204630e-03
    2.23437500e-01    3.85968466e-04    1.02895336e-03
    2.25000000e-01    3.88415739e-04    1.03585469e-03
    2.26562500e-01    3.90858401e-04    1.04275027e-03
    2.28125000e-01    3.93296442e-04    1.04964006e-03
    2.29687500e-01    3.95729850e-04    1.05652404e-03
    2.31250000e-01    3.98158613e-04    1.06340218e-03
    2.32812500e-01    4.00582720e-04    1.07027446e-03
    2.34375000e-01    4.03002162e-04    1.07714085e-03
    2.35937500e-01    4.05416927e-04    1.08400132e-03
    2.37500000e-01    4.07827006e-04    1.09085586e-03
    2.39062500e-01    4.10232389e-04    1.09770443e-03
    2.40625000e-01    4.12633067e-04    1.10454701e-03
    2.42187500e-01    4.15029030e-04    1.11138358e-03
    2.43750000e-01    4.17420270e-04    1.11821411e-03
    2.45312500e-01    4.19806778e-04    1.12503858e-03
    2.46875000e-01    4.22188546e-04    1.13185696e-03
    2.48437500e-01    4.24565566e-04    1.13866923e-03
    2.50000000e-01    4.26937831e-04    1.14547537e-03
    2.51562500e-01    4.29305333e-04    1.15227536e-03
    2.53125000e-01    4.31668065e-04    1.15906916e-03
    2.54687500e-01    4.34026021e-04    1.16585677e-03
    2.56250000e-01    4.36379193e-04    1.17263815e-03
    2.57812500e-01    4.38727576e-04    1.17941328e-03
    2.59375000e-01    4.41071164e-04    1.18618215e-03
    2.60937500e-01    4.43409951e-04    1.19294473e-03
    2.62500000e-01    4.45743932e-04    1.19970100e-03
    2.64062500e-01    4.48073101e-04    1.20645094e-03
    2.65625000e-01    4.50397454e-04    1.21319452e-03
    2.67187500e-01    4.52716987e-04    1.21993174e-03
    2.68750000e-01    4.55031695e-04    1.22666256e-03
    2.70312500e-01    4.57341574e-04    1.23338697e-03
    2.71875000e-01    4.59646621e-04    1.24010495e-03
    2.73437500e-01    4.61946832e-04    1.24681647e-03
    2.75000000e-01    4.64242203e-04    1.25352153e-03
    2.76562500e-01    4.66532733e-04    1.26022009e-03
    2.78125000e-01    4.68818418e-04    1.26691215e-03
    2.79687500e-01    4.71099255e-04    1.27359768e-03
    2.81250000e-01    4.73375244e-04    1.28027666e-03
    2.82812500e-01    4.75646381e-04    1.28694908e-03
    2.84375000e-01    4.77912666e-04    1.29361491e-03
    2.85937500e-01    4.80174096e-04    1.30027415e-03
    2.87500000e-01    4.82430672e-04    1.30692678e-03
    2.89062500e-01    4.84682391e-04    1.31357276e-03
    2.90625000e-01    4.86929254e-04    1.32021210e-03
    2.92187500e-01    4.89171259e-04    1.32684478e-03
    2.93750000e-01    4.91408408e-04    1.33347077e-03
    2.95312500e-01    4.93640699e-04    1.34009006e-03
    2.96875000e-01    4.95868134e-04    1.34670263e-03
    2.98437500e-01    4.98090713e-04    1.35330848e-03
    3.00000000e-01    5.00308437e-04    1.35990758e-03
    3.01562500e-01    5.02521306e-04    1.36649992e-03
    3.03125000e-01    5.04729322e-04    1.37308549e-03
    3.04687500e-01    5.06932487e-04    1.37966426e-03
    3.06250000e-01    5.09130803e-04    1.38623624e-03
    3.07812500e-01    5.11324271e-04    1.39280139e-03
    3.09375000e-01    5.13512894e-04    1.39935972e-03
    3.10937500e-01    5.15696673e-04    1.40591119e-03
    3.12500000e-01    5.17875613e-04    1.41245581e-03
    3.14062500e-01    5.20049715e-04    1.41899356e-03
    3.15625000e-01    5.22218983e-04    1.42552442e-03
    3.17187500e-01    5.24383419e-04    1.43204839e-03
    3.18750000e-01    5.26543029e-04    1.43856545e-03
    3.20312500e-01    5.28697814e-04    1.44507558e-03
    3.21875000e-01    5.30847780e-04    1.45157879e-03
    3.23437500e-01    5.32992930e-04    1.45807505e-03
    3.25000000e-01    5.35133269e-04    1.46456435e-03
    3.26562500e-01    5.37268802e-04    1.47104668e-03
    3.28125000e-01    5.39399532e-04    1.47752204e-03
    3.29687500e-01    5.41525466e-04    1.48399041e-03
    3.31250000e-01    5.43646607e-04    1.49045178e-03
    3.32812500e-01    5.45762962e-04    1.49690614e-03
    3.34375000e-01    5.47874537e-04    1.50335348e-03
    3.35937500e-01    5.49981336e-04    1.50979380e-03
    3.37500000e-01    5.52083366e-04    1.51622707e-03
    3.39062500e-01    5.54180632e-04    1.52265330e-03
    3.40625000e-01    5.56273142e-04    1.52907248e-03
    3.42187500e-01    5.58360902e-04    1.53548459e-03
    3.43750000e-01    5.60443918e-04    1.54188962e-03
    3.45312500e-01    5.62522197e-04    1.54828758e-03
    3.46875000e-01    5.64595747e-04    1.55467844e-03
    3.48437500e-01    5.66664573e-04    1.56106221e-03
    3.50000000e-01    5.68728685e-04    1.56743887e-03
    3.51562500e-01    5.70788089e-04    1.57380842e-03
    3.53125000e-01    5.72842793e-04    1.58017085e-03
    3.54687500e-01    5.74892805e-04    1.58652616e-03
    3.56250000e-01    5.76938133e-04    1.59287433e-03
    3.57812500e-01    5.78978785e-04    1.59921537e-03
    3.59375000e-01    5.81014770e-04    1.60554926e-03
    3.60937500e-01    5.83046095e-04    1.61187600e-03
    3.62500000e-01    5.85072771e-04    1.61819559e-03
    3.64062500e-01    5.87094805e-04    1.62450801e-03
    3.65625000e-01    5.89112207e-04    1.63081326e-03
    3.67187500e-01    5.91124985e-04    1.63711134e-03
    3.68750000e-01    5.93133150e-04    1.64340225e-03
    3.70312500e-01    5.95136710e-04    1.64968598e-03
    3.71875000e-01    5.97135676e-04    1.65596252e-03
    3.73437500e-01    5.99130056e-04    1.66223186e-03
    3.75000000e-01    6.01119861e-04    1.66849402e-03
    3.76562500e-01    6.03105100e-04    1.67474898e-03
    3.78125000e-01    6.05085785e-04    1.68099674e-03
    3.79687500e-01    6.07061925e-04    1.68723729e-03
    3.81250000e-01    6.09033531e-04    1.69347064e-03
    3.82812500e-01    6.11000612e-04    1.69969678e-03
    3.84375000e-01    6.12963181e-04    1.70591570e-03
    3.85937500e-01    6.14921248e-04    1.71212742e-03
    3.87500000e-01    6.16874823e-04    1.71833191e-03
    3.89062500e-01    6.18823918e-04    1.72452919e-03
    3.90625000e-01    6.20768544e-04    1.73071924e-03
    3.92187500e-01    6.22708712e-04    1.73690208e-03
    3.93750000e-01    6.24644434e-04    1.74307769e-03
    3.95312500e-01    6.26575721e-04    1.74924608e-03
    3.96875000e-01    6.28502586e-04    1.75540724e-03
    3.98437500e-01    6.30425039e-04    1.76156118e-03
    4.00000000e-01    6.32343093e-04    1.76770789e-03
    4.01562500e-01    6.34256759e-04    1.77384738e-03
    4.03125000e-01    6.36166051e-04    1.77997964e-03
    4.04687500e-01    6.38070979e-04    1.78610467e-03
    4.06250000e-01    6.39971557e-04    1.79222248e-03
    4.07812500e-01    6.41867797e-04    1.79833306e-03
    4.09375000e-01    6.43759712e-04    1.80443642e-03
    4.10937500e-01    6.45647313e-04    1.81053256e-03
    4.12500000e-01    6.47530614e-04    1.81662148e-03
    4.14062500e-01    6.49409628e-04    1.82270317e-03
    4.15625000e-01    6.51284367e-04    1.82877765e-03
    4.17187500e-01    6.53154846e-04    1.83484491e-03
    4.18750000e-01    6.55021076e-04    1.84090495e-03
    4.20312500e-01    6.56883070e-04    1.84695778e-03
    4.21875000e-01    6.58740844e-04    1.85300340e-03
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