t       rel_error_r       rel_error_v
    0.00000000e+00    0.00000000e+00    1.42108547e-16
    3.12500000e-03    7.00837704e-14    1.82597777e-13
    6.25000000e-03    1.40162772e-13    3.65191776e-13
    9.37500000e-03    2.10233919e-13    5.47784977e-13
    1.25000000e-02    2.80290337e-13    7.30350484e-13
    1.56250000e-02    3.50328571e-13    9.12908016e-13
    1.87500000e-02    4.20350848e-13    1.09544285e-12
    2.18750000e-02    4.90339777e-13    1.27794538e-12
    2.50000000e-02    5.60296150e-13    1.46040508e-12
    2.81250000e-02    6.30212483e-13    1.64283006e-12
    3.12500000e-02    7.00093397e-13    1.82520819e-12
    3.43750000e-02    7.69944207e-13    2.00755447e-12
    3.75000000e-02    8.39736130e-13    2.18986679e-12
    4.06250000e-02    9.09461048e-13    2.37207503e-12
    4.37500000e-02    9.79149154e-13    2.55427444e-12
    4.68750000e-02    1.04875314e-12    2.73639413e-12
    5.00000000e-02    1.11832574e-12    2.91840605e-12
    5.31250000e-02    1.18781995e-12    3.10038061e-12
    5.62500000e-02    1.25721662e-12    3.28223815e-12
    5.93750000e-02    1.32654403e-12    3.46405638e-12
    6.25000000e-02    1.39578593e-12    3.64569851e-12
    6.56250000e-02    1.46497773e-12    3.82731069e-12
    6.87500000e-02    1.53405249e-12    4.00884993e-12
    7.18750000e-02    1.60300716e-12    4.19028516e-12
    7.50000000e-02    1.67189826e-12    4.37159364e-12
    7.81250000e-02    1.74065346e-12    4.55276363e-12
    8.12500000e-02    1.80934614e-12    4.73385465e-12
    8.43750000e-02    1.87791943e-12    4.91479763e-12
    8.75000000e-02    1.94638866e-12    5.09564444e-12
    9.06250000e-02    2.01468618e-12    5.27633692e-12
    9.37500000e-02    2.08289594e-12    5.45688334e-12
    9.68750000e-02    2.15095433e-12    5.63734307e-12
    1.00000000e-01    2.21894434e-12    5.81763732e-12
    1.03125000e-01    2.28669302e-12    5.99776090e-12
    1.06250000e-01    2.35438953e-12    6.17773029e-12
    1.09375000e-01    2.42197184e-12    6.35757397e-12
    1.12500000e-01    2.48937281e-12    6.53724598e-12
    1.15625000e-01    2.55665962e-12    6.71680788e-12
    1.18750000e-01    2.62373051e-12    6.89610534e-12
    1.21875000e-01    2.69073832e-12    7.07530924e-12
    1.25000000e-01    2.75744617e-12    7.25419020e-12
    1.28125000e-01    2.82405877e-12    7.43302910e-12
    1.31250000e-01    2.89060890e-12    7.61163068e-12
    1.34375000e-01    2.95687487e-12    7.79005860e-12
    1.37500000e-01    3.02300052e-12    7.96820325e-12
    1.40625000e-01    3.08893174e-12    8.14624691e-12
    1.43750000e-01    3.15467159e-12    8.32410060e-12
    1.46875000e-01    3.22029932e-12    8.50158860e-12
    1.50000000e-01    3.28567813e-12    8.67902446e-12
    1.53125000e-01    3.35092121e-12    8.85623443e-12
    1.56250000e-01    3.41599547e-12    9.03314760e-12
    1.59375000e-01    3.48082481e-12    9.20993392e-12
    1.62500000e-01    3.54547213e-12    9.38653666e-12
    1.65625000e-01    3.60994905e-12    9.56276654e-12
    1.68750000e-01    3.67424590e-12    9.73890987e-12
    1.71875000e-01    3.73831578e-12    9.91473053e-12
    1.75000000e-01    3.80219572e-12    1.00903192e-11
    1.78125000e-01    3.86591431e-12    1.02656464e-11
    1.81250000e-01    3.92929561e-12    1.04408549e-11
    1.84375000e-01    3.99260128e-12    1.06157211e-11
    1.87500000e-01    4.05562482e-12    1.07903330e-11
    1.90625000e-01    4.11849582e-12    1.09646508e-11
    1.93750000e-01    4.18109897e-12    1.11388220e-11
    1.96875000e-01    4.24354155e-12    1.13126866e-11
    2.00000000e-01    4.30565102e-12    1.14861475e-11
    2.03125000e-01    4.36764532e-12    1.16595365e-11
    2.06250000e-01    4.42934708e-12    1.18326306e-11
    2.09375000e-01    4.49084539e-12    1.20054563e-11
    2.12500000e-01    4.55217971e-12    1.21779136e-11
    2.15625000e-01    4.61319033e-12    1.23501503e-11
    2.18750000e-01    4.67405270e-12    1.25220673e-11
    2.21875000e-01    4.73478260e-12    1.26938115e-11
    2.25000000e-01    4.79510079e-12    1.28651640e-11
    2.28125000e-01    4.85528044e-12    1.30362119e-11
    2.31250000e-01    4.91523282e-12    1.32070317e-11
    2.34375000e-01    4.97492250e-12    1.33775368e-11
    2.37500000e-01    5.03441044e-12    1.35478018e-11
    2.40625000e-01    5.09356847e-12    1.37176263e-11
    2.43750000e-01    5.15258043e-12    1.38871296e-11
    2.46875000e-01    5.21140697e-12    1.40565397e-11
    2.50000000e-01    5.26991958e-12    1.42254416e-11
    2.53125000e-01    5.32827866e-12    1.43941683e-11
    2.56250000e-01    5.38635498e-12    1.45624557e-11
    2.59375000e-01    5.44411654e-12    1.47306000e-11
    2.62500000e-01    5.50178631e-12    1.48983580e-11
    2.65625000e-01    5.55913632e-12    1.50657153e-11
    2.68750000e-01    5.61633264e-12    1.52328534e-11
    2.71875000e-01    5.67313417e-12    1.53996397e-11
    2.75000000e-01    5.72972920e-12    1.55661780e-11
    2.78125000e-01    5.78608420e-12    1.57321908e-11
    2.81250000e-01    5.84232511e-12    1.58981179e-11
    2.84375000e-01    5.89813618e-12    1.60634620e-11
    2.87500000e-01    5.95373583e-12    1.62287715e-11
    2.90625000e-01    6.00918246e-12    1.63934925e-11
    2.93750000e-01    6.06432169e-12    1.65581817e-11
    2.96875000e-01    6.11918558e-12    1.67222491e-11
    3.00000000e-01    6.17392856e-12    1.68860823e-11
    3.03125000e-01    6.22841582e-12    1.70496890e-11
    3.06250000e-01    6.28242062e-12    1.72127476e-11
    3.09375000e-01    6.33638859e-12    1.73755462e-11
    3.12500000e-01    6.39013056e-12    1.75380375e-11
    3.15625000e-01    6.44363409e-12    1.77002313e-11
    3.18750000e-01    6.49689940e-12    1.78620524e-11
    3.21875000e-01    6.54979500e-12    1.80233467e-11
    3.25000000e-01    6.60238349e-12    1.81843315e-11
    3.28125000e-01    6.65515900e-12    1.83451243e-11
    3.31250000e-01    6.70735462e-12    1.85054666e-11
    3.34375000e-01    6.75925274e-12    1.86654774e-11
    3.37500000e-01    6.81119811e-12    1.88250898e-11
    3.40625000e-01    6.86272972e-12    1.89845208e-11
    3.43750000e-01    6.91409259e-12    1.91433169e-11
    3.46875000e-01    6.96501977e-12    1.93019845e-11
    3.50000000e-01    7.01589959e-12    1.94602635e-11
    3.53125000e-01    7.06654568e-12    1.96182714e-11
    3.56250000e-01    7.11690433e-12    1.97756050e-11
    3.59375000e-01    7.16705179e-12    1.99327285e-11
    3.62500000e-01    7.21691235e-12    2.00896141e-11
    3.65625000e-01    7.26664056e-12    2.02461377e-11
    3.68750000e-01    7.31606382e-12    2.04021933e-11
    3.71875000e-01    7.36525636e-12    2.05578986e-11
    3.75000000e-01    7.41426611e-12    2.07134696e-11
    3.78125000e-01    7.46303159e-12    2.08683134e-11
    3.81250000e-01    7.51150255e-12    2.10229729e-11
    3.84375000e-01    7.55987040e-12    2.11774903e-11
    3.87500000e-01    7.60790781e-12    2.13313101e-11
    3.90625000e-01    7.65567910e-12    2.14848876e-11
    3.93750000e-01    7.70326124e-12    2.16379044e-11
    3.96875000e-01    7.75073419e-12    2.17909709e-11
    4.00000000e-01    7.79800827e-12    2.19433936e-11
    4.03125000e-01    7.84496799e-12    2.20954926e-11
    4.06250000e-01    7.89157679e-12    2.22471889e-11
    4.09375000e-01    7.93829296e-12    2.23986698e-11
    4.12500000e-01    7.98459418e-12    2.25496411e-11
    4.15625000e-01    8.03058563e-12    2.27003124e-11
    4.18750000e-01    8.07653547e-12    2.28507720e-11
    4.21875000e-01    8.12237246e-12    2.30006698e-11
    4.25000000e-01    8.16757075e-12    2.31502365e-11
    4.28125000e-01    8.21303146e-12    2.32994572e-11
    4.31250000e-01    8.25814181e-12    2.34484892e-11
    4.34375000e-01    8.30294199e-12    2.35969554e-11
    4.37500000e-01    8.34741315e-12    2.37449776e-11
    4.40625000e-01    8.39192272e-12    2.38928122e-11
    4.43750000e-01    8.43603477e-12    2.40401319e-11
    4.46875000e-01    8.48008732e-12    2.41872441e-11
    4.50000000e-01    8.52406342e-12    2.43341491e-11
    4.53125000e-01    8.56770117e-12    2.44805469e-11
    4.56250000e-01    8.61116656e-12    2.46265555e-11
    4.59375000e-01    8.65440603e-12    2.47721484e-11
    4.62500000e-01    8.69752156e-12    2.49174410e-11
    4.65625000e-01    8.74013075e-12    2.50623641e-11
    4.68750000e-01    8.78293887e-12    2.52069035e-11
    4.71875000e-01    8.82547050e-12    2.53513819e-11
    4.75000000e-01    8.86780389e-12    2.54951754e-11
    4.78125000e-01    8.90988176e-12    2.56387235e-11
    4.81250000e-01    8.95171381e-12    2.57818215e-11
    4.84375000e-01    8.99347274e-12    2.59245538e-11
    4.87500000e-01    9.03512338e-12    2.60671210e-11
    4.90625000e-01    9.07642049e-12    2.62091448e-11
    4.93750000e-01    9.11751371e-12    2.63509429e-11
    4.96875000e-01    9.15880929e-12    2.64925971e-11
    5.00000000e-01    9.19969103e-12    2.66336121e-11
    5.03125000e-01    9.24021195e-12    2.67743930e-11
    5.06250000e-01    9.28083145e-12    2.69149967e-11
    5.09375000e-01    9.32139326e-12    2.70550641e-11
    5.12500000e-01    9.36143602e-12    2.71950373e-11
    5.15625000e-01    9.40172426e-12    2.73345669e-11
    5.18750000e-01    9.44147474e-12    2.74736100e-11
    5.21875000e-01    9.48122756e-12    2.76126281e-11
    5.25000000e-01    9.52074791e-12    2.77511778e-11
    5.28125000e-01    9.56019619e-12    2.78894865e-11
    5.31250000e-01    9.59945121e-12    2.80272182e-11
    5.34375000e-01    9.63852407e-12    2.81647761e-11
    5.37500000e-01    9.67742587e-12    2.83020539e-11
    5.40625000e-01    9.71637417e-12    2.84387486e-11
    5.43750000e-01    9.75499798e-12    2.85753027e-11
    5.46875000e-01    9.79359330e-12    2.87117104e-11
    5.50000000e-01    9.83186842e-12    2.88476055e-11
    5.53125000e-01    9.86983451e-12    2.89830349e-11
    5.56250000e-01    9.90807432e-12    2.91183594e-11
    5.59375000e-01    9.94578315e-12    2.92533625e-11
    5.62500000e-01    9.98358131e-12    2.93878266e-11
    5.65625000e-01    1.00211259e-11    2.95221749e-11
    5.68750000e-01    1.00587263e-11    2.96562818e-11
    5.71875000e-01    1.00959714e-11    2.97899429e-11
    5.75000000e-01    1.01330887e-11    2.99231731e-11
    5.78125000e-01    1.01700886e-11    3.00563060e-11
    5.81250000e-01    1.02072672e-11    3.01891062e-11
    5.84375000e-01    1.02438591e-11    3.03213589e-11
    5.87500000e-01    1.02805660e-11    3.04535590e-11
    5.90625000e-01    1.03173755e-11    3.05854487e-11
    5.93750000e-01    1.03536506e-11    3.07170535e-11
    5.96875000e-01    1.03899536e-11    3.08481395e-11
    6.00000000e-01    1.04263144e-11    3.09791279e-11
    6.03125000e-01    1.04622466e-11    3.11098362e-11
    6.06250000e-01    1.04980568e-11    3.12399909e-11
    6.09375000e-01    1.05338587e-11    3.13701048e-11
    6.12500000e-01    1.05696537e-11    3.14999490e-11
    6.15625000e-01    1.06050778e-11    3.16292402e-11
    6.18750000e-01    1.06406026e-11    3.17584810e-11
    6.21875000e-01    1.06760624e-11    3.18874599e-11
    6.25000000e-01    1.07112829e-11    3.20161407e-11
    6.28125000e-01    1.07462477e-11    3.21442975e-11
    6.31250000e-01    1.07813729e-11    3.22724118e-11
    6.34375000e-01    1.08162756e-11    3.24002722e-11
    6.37500000e-01    1.08509670e-11    3.25276001e-11
    6.40625000e-01    1.08857561e-11    3.26549054e-11
    6.43750000e-01    1.09204474e-11    3.27819077e-11
    6.46875000e-01    1.09549569e-11    3.29086799e-11
    6.50000000e-01    1.09893976e-11    3.30349191e-11
    6.53125000e-01    1.10234884e-11    3.31611410e-11
    6.56250000e-01    1.10578121e-11    3.32870978e-11
    6.59375000e-01    1.10918978e-11    3.34125641e-11
    6.62500000e-01    1.11261458e-11    3.35380114e-11
    6.65625000e-01    1.11600825e-11    3.36631984e-11
    6.68750000e-01    1.11938217e-11    3.37881279e-11
    6.71875000e-01    1.12276480e-11    3.39125808e-11
    6.75000000e-01    1.12612937e-11    3.40369952e-11
    6.78125000e-01    1.12950492e-11    3.41611763e-11
    6.81250000e-01    1.13283622e-11    3.42848837e-11
    6.84375000e-01    1.13618021e-11    3.44085580e-11
    6.87500000e-01    1.13951920e-11    3.45319822e-11
    6.90625000e-01    1.14285414e-11    3.46551975e-11
    6.93750000e-01    1.14616755e-11    3.47779070e-11
    6.96875000e-01    1.14947876e-11    3.49006506e-11
    7.00000000e-01    1.15278863e-11    3.50231054e-11
    7.03125000e-01    1.15607981e-11    3.51451513e-11
    7.06250000e-01    1.15939002e-11    3.52671854e-11
    7.09375000e-01    1.16266493e-11    3.53889803e-11
    7.12500000e-01    1.16592382e-11    3.55105382e-11
    7.15625000e-01    1.16918600e-11    3.56316365e-11
    7.18750000e-01    1.17245262e-11    3.57527631e-11
    7.21875000e-01    1.17572425e-11    3.58736834e-11
    7.25000000e-01    1.17894694e-11    3.59941836e-11
    7.28125000e-01    1.18219509e-11    3.61146499e-11
    7.31250000e-01    1.18545053e-11    3.62348787e-11
    7.34375000e-01    1.18865998e-11    3.63547769e-11
    7.37500000e-01    1.19189706e-11    3.64745966e-11
    7.40625000e-01    1.19510870e-11    3.65942581e-11
    7.43750000e-01    1.19834848e-11    3.67136834e-11
    7.46875000e-01    1.20156470e-11    3.68327200e-11
    7.50000000e-01    1.20477499e-11    3.69517386e-11
    7.53125000e-01    1.20796310e-11    3.70706110e-11
    7.56250000e-01    1.21116551e-11    3.71890265e-11
    7.59375000e-01    1.21434697e-11    3.73074935e-11
    7.62500000e-01    1.21754445e-11    3.74257545e-11
    7.65625000e-01    1.22074117e-11    3.75438543e-11
    7.68750000e-01    1.22390140e-11    3.76615026e-11
    7.71875000e-01    1.22706193e-11    3.77791565e-11
    7.75000000e-01    1.23025850e-11    3.78967491e-11
    7.78125000e-01    1.23340490e-11    3.80138260e-11
    7.81250000e-01    1.23657161e-11    3.81310111e-11
    7.84375000e-01    1.23975940e-11    3.82480162e-11
    7.87500000e-01    1.24289916e-11    3.83648712e-11
    7.90625000e-01    1.24605969e-11    3.84812251e-11
    7.93750000e-01    1.24920841e-11    3.85976501e-11
    7.96875000e-01    1.25236561e-11    3.87139425e-11
    8.00000000e-01    1.25551183e-11    3.88298725e-11
    8.03125000e-01    1.25864793e-11    3.89458597e-11
    8.06250000e-01    1.26179290e-11    3.90616825e-11
    8.09375000e-01    1.26491273e-11    3.91773843e-11
    8.12500000e-01    1.26802399e-11    3.92925942e-11
    8.15625000e-01    1.27116343e-11    3.94079693e-11
    8.18750000e-01    1.27428053e-11    3.95231853e-11
    8.21875000e-01    1.27740949e-11    3.96380243e-11
    8.25000000e-01    1.28053326e-11    3.97529973e-11
    8.28125000e-01    1.28365406e-11    3.98677019e-11
    8.31250000e-01    1.28677139e-11    3.99823663e-11
    8.34375000e-01    1.28988466e-11    4.00966674e-11
    8.37500000e-01    1.29299918e-11    4.02110182e-11
    8.40625000e-01    1.29611140e-11    4.03252390e-11
    8.43750000e-01    1.29923667e-11    4.04391081e-11
    8.46875000e-01    1.30234663e-11    4.05529926e-11
    8.50000000e-01    1.30544395e-11    4.06667680e-11
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