t       rel_error_r       rel_error_v
    0.00000000e+00    0.00000000e+00    1.42108547e-16
    3.12500000e-03    1.13436521e-05    2.93878618e-05
    6.25000000e-03    2.26868770e-05    5.87757196e-05
    9.37500000e-03    3.40289604e-05    8.81628094e-05
    1.25000000e-02    4.53691888e-05    1.17548367e-04
    1.56250000e-02    5.67068493e-05    1.46931630e-04
    1.87500000e-02    6.80412301e-05    1.76311834e-04
    2.18750000e-02    7.93716208e-05    2.05688217e-04
    2.50000000e-02    9.06973129e-05    2.35060019e-04
    2.81250000e-02    1.02017600e-04    2.64426479e-04
    3.12500000e-02    1.13331776e-04    2.93786838e-04
    3.43750000e-02    1.24639141e-04    3.23140338e-04
    3.75000000e-02    1.35938995e-04    3.52486223e-04
    4.06250000e-02    1.47230642e-04    3.81823738e-04
    4.37500000e-02    1.58513389e-04    4.11152131e-04
    4.68750000e-02    1.69786547e-04    4.40470650e-04
    5.00000000e-02    1.81049431e-04    4.69778548e-04
    5.31250000e-02    1.92301359e-04    4.99075077e-04
    5.62500000e-02    2.03541655e-04    5.28359493e-04
    5.93750000e-02    2.14769647e-04    5.57631055e-04
    6.25000000e-02    2.25984667e-04    5.86889023e-04
    6.56250000e-02    2.37186054e-04    6.16132662e-04
    6.87500000e-02    2.48373150e-04    6.45361238e-04
    7.18750000e-02    2.59545305e-04    6.74574021e-04
    7.50000000e-02    2.70701874e-04    7.03770284e-04
    7.81250000e-02    2.81842216e-04    7.32949304e-04
    8.12500000e-02    2.92965700e-04    7.62110361e-04
    8.43750000e-02    3.04071699e-04    7.91252738e-04
    8.75000000e-02    3.15159593e-04    8.20375724e-04
    9.06250000e-02    3.26228771e-04    8.49478608e-04
    9.37500000e-02    3.37278625e-04    8.78560687e-04
    9.68750000e-02    3.48308558e-04    9.07621260e-04
    1.00000000e-01    3.59317980e-04    9.36659632e-04
    1.03125000e-01    3.70306308e-04    9.65675110e-04
    1.06250000e-01    3.81272966e-04    9.94667007e-04
    1.09375000e-01    3.92217387e-04    1.02363464e-03
    1.12500000e-01    4.03139012e-04    1.05257733e-03
    1.15625000e-01    4.14037292e-04    1.08149441e-03
    1.18750000e-01    4.24911684e-04    1.11038521e-03
    1.21875000e-01    4.35761656e-04    1.13924907e-03
    1.25000000e-01    4.46586682e-04    1.16808532e-03
    1.28125000e-01    4.57386247e-04    1.19689332e-03
    1.31250000e-01    4.68159845e-04    1.22567242e-03
    1.34375000e-01    4.78906979e-04    1.25442198e-03
    1.37500000e-01    4.89627161e-04    1.28314137e-03
    1.40625000e-01    5.00319912e-04    1.31182995e-03
    1.43750000e-01    5.10984764e-04    1.34048710e-03
    1.46875000e-01    5.21621257e-04    1.36911221e-03
    1.50000000e-01    5.32228942e-04    1.39770466e-03
    1.53125000e-01    5.42807378e-04    1.42626385e-03
    1.56250000e-01    5.53356137e-04    1.45478918e-03
    1.59375000e-01    5.63874797e-04    1.48328005e-03
    1.62500000e-01    5.74362949e-04    1.51173588e-03
    1.65625000e-01    5.84820193e-04    1.54015610e-03
    1.68750000e-01    5.95246138e-04    1.56854012e-03
    1.71875000e-01    6.05640406e-04    1.59688739e-03
    1.75000000e-01    6.16002625e-04    1.62519734e-03
    1.78125000e-01    6.26332438e-04    1.65346941e-03
    1.81250000e-01    6.36629494e-04    1.68170308e-03
    1.84375000e-01    6.46893454e-04    1.70989778e-03
    1.87500000e-01    6.57123990e-04    1.73805301e-03
    1.90625000e-01    6.67320784e-04    1.76616822e-03
    1.93750000e-01    6.77483526e-04    1.79424290e-03
    1.96875000e-01    6.87611919e-04    1.82227655e-03
    2.00000000e-01    6.97705674e-04    1.85026866e-03
    2.03125000e-01    7.07764515e-04    1.87821873e-03
    2.06250000e-01    7.17788175e-04    1.90612628e-03
    2.09375000e-01    7.27776394e-04    1.93399083e-03
    2.12500000e-01    7.37728927e-04    1.96181190e-03
    2.15625000e-01    7.47645537e-04    1.98958903e-03
    2.18750000e-01    7.57525996e-04    2.01732177e-03
    2.21875000e-01    7.67370088e-04    2.04500965e-03
    2.25000000e-01    7.77177605e-04    2.07265224e-03
    2.28125000e-01    7.86948350e-04    2.10024911e-03
    2.31250000e-01    7.96682136e-04    2.12779983e-03
    2.34375000e-01    8.06378786e-04    2.15530397e-03
    2.37500000e-01    8.16038132e-04    2.18276113e-03
    2.40625000e-01    8.25660015e-04    2.21017091e-03
    2.43750000e-01    8.35244286e-04    2.23753291e-03
    2.46875000e-01    8.44790808e-04    2.26484674e-03
    2.50000000e-01    8.54299449e-04    2.29211203e-03
    2.53125000e-01    8.63770090e-04    2.31932840e-03
    2.56250000e-01    8.73202620e-04    2.34649548e-03
    2.59375000e-01    8.82596935e-04    2.37361293e-03
    2.62500000e-01    8.91952943e-04    2.40068039e-03
    2.65625000e-01    9.01270561e-04    2.42769753e-03
    2.68750000e-01    9.10549712e-04    2.45466401e-03
    2.71875000e-01    9.19790330e-04    2.48157951e-03
    2.75000000e-01    9.28992357e-04    2.50844372e-03
    2.78125000e-01    9.38155743e-04    2.53525633e-03
    2.81250000e-01    9.47280448e-04    2.56201704e-03
    2.84375000e-01    9.56366439e-04    2.58872555e-03
    2.87500000e-01    9.65413691e-04    2.61538158e-03
    2.90625000e-01    9.74422188e-04    2.64198487e-03
    2.93750000e-01    9.83391920e-04    2.66853514e-03
    2.96875000e-01    9.92322888e-04    2.69503212e-03
    3.00000000e-01    1.00121510e-03    2.72147558e-03
    3.03125000e-01    1.01006856e-03    2.74786527e-03
    3.06250000e-01    1.01888331e-03    2.77420094e-03
    3.09375000e-01    1.02765936e-03    2.80048238e-03
    3.12500000e-01    1.03639676e-03    2.82670937e-03
    3.15625000e-01    1.04509555e-03    2.85288168e-03
    3.18750000e-01    1.05375577e-03    2.87899913e-03
    3.21875000e-01    1.06237749e-03    2.90506150e-03
    3.25000000e-01    1.07096078e-03    2.93106863e-03
    3.28125000e-01    1.07950569e-03    2.95702031e-03
    3.31250000e-01    1.08801231e-03    2.98291639e-03
    3.34375000e-01    1.09648072e-03    3.00875669e-03
    3.37500000e-01    1.10491101e-03    3.03454106e-03
    3.40625000e-01    1.11330328e-03    3.06026934e-03
    3.43750000e-01    1.12165763e-03    3.08594141e-03
    3.46875000e-01    1.12997416e-03    3.11155711e-03
    3.50000000e-01    1.13825300e-03    3.13711634e-03
    3.53125000e-01    1.14649425e-03    3.16261895e-03
    3.56250000e-01    1.15469804e-03    3.18806485e-03
    3.59375000e-01    1.16286451e-03    3.21345393e-03
    3.62500000e-01    1.17099378e-03    3.23878609e-03
    3.65625000e-01    1.17908599e-03    3.26406124e-03
    3.68750000e-01    1.18714130e-03    3.28927929e-03
    3.71875000e-01    1.19515985e-03    3.31444019e-03
    3.75000000e-01    1.20314179e-03    3.33954384e-03
    3.78125000e-01    1.21108728e-03    3.36459020e-03
    3.81250000e-01    1.21899649e-03    3.38957921e-03
    3.84375000e-01    1.22686958e-03    3.41451082e-03
    3.87500000e-01    1.23470673e-03    3.43938499e-03
    3.90625000e-01    1.24250811e-03    3.46420169e-03
    3.93750000e-01    1.25027389e-03    3.48896089e-03
    3.96875000e-01    1.25800427e-03    3.51366258e-03
    4.00000000e-01    1.26569944e-03    3.53830673e-03
    4.03125000e-01    1.27335957e-03    3.56289335e-03
    4.06250000e-01    1.28098487e-03    3.58742243e-03
    4.09375000e-01    1.28857554e-03    3.61189398e-03
    4.12500000e-01    1.29613176e-03    3.63630802e-03
    4.15625000e-01    1.30365376e-03    3.66066456e-03
    4.18750000e-01    1.31114174e-03    3.68496363e-03
    4.21875000e-01    1.31859590e-03    3.70920526e-03
    4.25000000e-01    1.32601647e-03    3.73338950e-03
    4.28125000e-01    1.33340365e-03    3.75751638e-03
    4.31250000e-01    1.34075766e-03    3.78158596e-03
    4.34375000e-01    1.34807873e-03    3.80559830e-03
    4.37500000e-01    1.35536708e-03    3.82955346e-03
    4.40625000e-01    1.36262294e-03    3.85345151e-03
    4.43750000e-01    1.36984653e-03    3.87729251e-03
    4.46875000e-01    1.37703809e-03    3.90107657e-03
    4.50000000e-01    1.38419785e-03    3.92480375e-03
    4.53125000e-01    1.39132603e-03    3.94847416e-03
    4.56250000e-01    1.39842289e-03    3.97208789e-03
    4.59375000e-01    1.40548865e-03    3.99564505e-03
    4.62500000e-01    1.41252357e-03    4.01914574e-03
    4.65625000e-01    1.41952787e-03    4.04259007e-03
    4.68750000e-01    1.42650180e-03    4.06597818e-03
    4.71875000e-01    1.43344561e-03    4.08931018e-03
    4.75000000e-01    1.44035955e-03    4.11258620e-03
    4.78125000e-01    1.44724386e-03    4.13580638e-03
    4.81250000e-01    1.45409879e-03    4.15897086e-03
    4.84375000e-01    1.46092459e-03    4.18207979e-03
    4.87500000e-01    1.46772151e-03    4.20513331e-03
    4.90625000e-01    1.47448980e-03    4.22813158e-03
    4.93750000e-01    1.48122973e-03    4.25107476e-03
    4.96875000e-01    1.48794154e-03    4.27396302e-03
    5.00000000e-01    1.49462548e-03    4.29679652e-03
    5.03125000e-01    1.50128182e-03    4.31957544e-03
    5.06250000e-01    1.50791080e-03    4.34229996e-03
    5.09375000e-01    1.51451270e-03    4.36497026e-03
    5.12500000e-01    1.52108775e-03    4.38758653e-03
    5.15625000e-01    1.52763624e-03    4.41014895e-03
    5.18750000e-01    1.53415840e-03    4.43265774e-03
    5.21875000e-01    1.54065451e-03    4.45511308e-03
    5.25000000e-01    1.54712481e-03    4.47751517e-03
    5.28125000e-01    1.55356958e-03    4.49986424e-03
    5.31250000e-01    1.55998907e-03    4.52216049e-03
    5.34375000e-01    1.56638354e-03    4.54440414e-03
    5.37500000e-01    1.57275325e-03    4.56659540e-03
    5.40625000e-01    1.57909847e-03    4.58873451e-03
    5.43750000e-01    1.58541945e-03    4.61082168e-03
    5.46875000e-01    1.59171645e-03    4.63285716e-03
    5.50000000e-01    1.59798975e-03    4.65484117e-03
    5.53125000e-01    1.60423958e-03    4.67677396e-03
    5.56250000e-01    1.61046623e-03    4.69865576e-03
    5.59375000e-01    1.61666994e-03    4.72048682e-03
    5.62500000e-01    1.62285098e-03    4.74226740e-03
    5.65625000e-01    1.62900961e-03    4.76399774e-03
    5.68750000e-01    1.63514609e-03    4.78567809e-03
    5.71875000e-01    1.64126067e-03    4.80730872e-03
    5.75000000e-01    1.64735363e-03    4.82888989e-03
    5.78125000e-01    1.65342521e-03    4.85042186e-03
    5.81250000e-01    1.65947567e-03    4.87190491e-03
    5.84375000e-01    1.66550528e-03    4.89333929e-03
    5.87500000e-01    1.67151428e-03    4.91472528e-03
    5.90625000e-01    1.67750295e-03    4.93606317e-03
    5.93750000e-01    1.68347152e-03    4.95735323e-03
    5.96875000e-01    1.68942027e-03    4.97859573e-03
    6.00000000e-01    1.69534945e-03    4.99979097e-03
    6.03125000e-01    1.70125930e-03    5.02093923e-03
    6.06250000e-01    1.70715009e-03    5.04204080e-03
    6.09375000e-01    1.71302207e-03    5.06309598e-03
    6.12500000e-01    1.71887549e-03    5.08410505e-03
    6.15625000e-01    1.72471061e-03    5.10506831e-03
    6.18750000e-01    1.73052767e-03    5.12598607e-03
    6.21875000e-01    1.73632693e-03    5.14685862e-03
    6.25000000e-01    1.74210864e-03    5.16768626e-03
    6.28125000e-01    1.74787304e-03    5.18846931e-03
    6.31250000e-01    1.75362039e-03    5.20920806e-03
    6.34375000e-01    1.75935094e-03    5.22990283e-03
    6.37500000e-01    1.76506492e-03    5.25055394e-03
    6.40625000e-01    1.77076260e-03    5.27116168e-03
    6.43750000e-01    1.77644420e-03    5.29172638e-03
    6.46875000e-01    1.78210998e-03    5.31224836e-03
    6.50000000e-01    1.78776019e-03    5.33272793e-03
    6.53125000e-01    1.79339506e-03    5.35316542e-03
    6.56250000e-01    1.79901483e-03    5.37356114e-03
    6.59375000e-01    1.80461975e-03    5.39391543e-03
    6.62500000e-01    1.81021006e-03    5.41422860e-03
    6.65625000e-01    1.81578600e-03    5.43450098e-03
    6.68750000e-01    1.82134781e-03    5.45473291e-03
    6.71875000e-01    1.82689571e-03    5.47492470e-03
    6.75000000e-01    1.83242996e-03    5.49507670e-03
    6.78125000e-01    1.83795078e-03    5.51518924e-03
    6.81250000e-01    1.84345841e-03    5.53526264e-03
    6.84375000e-01    1.84895309e-03    5.55529725e-03
    6.87500000e-01    1.85443504e-03    5.57529340e-03
    6.90625000e-01    1.85990450e-03    5.59525143e-03
    6.93750000e-01    1.86536170e-03    5.61517168e-03
    6.96875000e-01    1.87080687e-03    5.63505449e-03
    7.00000000e-01    1.87624024e-03    5.65490020e-03
    7.03125000e-01    1.88166203e-03    5.67470914e-03
    7.06250000e-01    1.88707248e-03    5.69448168e-03
    7.09375000e-01    1.89247180e-03    5.71421814e-03
    7.12500000e-01    1.89786023e-03    5.73391887e-03
    7.15625000e-01    1.90323799e-03    5.75358423e-03
    7.18750000e-01    1.90860530e-03    5.77321455e-03
    7.21875000e-01    1.91396238e-03    5.79281018e-03
    7.25000000e-01    1.91930946e-03    5.81237148e-03
    7.28125000e-01    1.92464675e-03    5.83189879e-03
    7.31250000e-01    1.92997448e-03    5.85139246e-03
    7.34375000e-01    1.93529285e-03    5.87085284e-03
    7.37500000e-01    1.94060210e-03    5.89028028e-03
    7.40625000e-01    1.94590243e-03    5.90967514e-03
    7.43750000e-01    1.95119406e-03    5.92903777e-03
    7.46875000e-01    1.95647721e-03    5.94836851e-03
    7.50000000e-01    1.96175208e-03    5.96766773e-03
    7.53125000e-01    1.96701889e-03    5.98693577e-03
    7.56250000e-01    1.97227786e-03    6.00617300e-03
    7.59375000e-01    1.97752918e-03    6.02537976e-03
    7.62500000e-01    1.98277308e-03    6.04455641e-03
    7.65625000e-01    1.98800975e-03    6.06370330e-03
    7.68750000e-01    1.99323942e-03    6.08282080e-03
    7.71875000e-01    1.99846227e-03    6.10190926e-03
    7.75000000e-01    2.00367853e-03    6.12096903e-03
    7.78125000e-01    2.00888839e-03    6.14000048e-03
    7.81250000e-01    2.01409205e-03    6.15900395e-03
    7.84375000e-01    2.01928973e-03    6.17797981e-03
    7.87500000e-01    2.02448161e-03    6.19692841e-03
    7.90625000e-01    2.02966792e-03    6.21585011e-03
    7.93750000e-01    2.03484883e-03    6.23474527e-03
    7.96875000e-01    2.04002456e-03    6.25361424e-03
    8.00000000e-01    2.04519529e-03    6.27245739e-03
    8.03125000e-01    2.05036124e-03    6.29127507e-03
    8.06250000e-01    2.05552258e-03    6.31006764e-03
    8.09375000e-01    2.06067953e-03    6.32883545e-03
    8.12500000e-01    2.06583228e-03    6.34757887e-03
    8.15625000e-01    2.07098101e-03    6.36629826e-03
    8.18750000e-01    2.07612592e-03    6.38499396e-03
    8.21875000e-01    2.08126721e-03    6.40366635e-03
    8.25000000e-01    2.08640506e-03    6.42231577e-03
    8.28125000e-01    2.09153967e-03    6.44094259e-03
    8.31250000e-01    2.09667123e-03    6.45954715e-03
    8.34375000e-01    2.10179991e-03    6.47812983e-03
    8.37500000e-01    2.10692593e-03    6.49669097e-03
    8.40625000e-01    2.11204945e-03    6.51523094e-03
    8.43750000e-01    2.11717066e-03    6.53375009e-03
    8.46875000e-01    2.12228976e-03    6.55224878e-03
    8.50000000e-01    2.12740693e-03    6.57072736e-03
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