# x d2i=x^2(2g1+3g2) error
  0.469999999 -0.00299853347  0.00285183441
  0.474999999 -0.00390764769  0.00312012779
  0.479999999 -0.00497876727  0.00342165315
  0.484999998 -0.00614500675  0.00369847098
  0.489999998 -0.00724939855  0.00386748522
  0.494999998 -0.00816762774  0.00389335506
  0.499999998 -0.00892397428  0.00381809237
  0.504999998 -0.00962734242  0.00370159187
  0.509999998 -0.0103721486  0.00357667869
  0.514999998 -0.0112183894  0.00345229349
  0.519999998 -0.0122048104  0.00332844975
  0.524999998 -0.0133593309  0.00320853599
  0.529999997 -0.0147049337  0.00311036342
  0.534999997 -0.0162629326  0.00307392471
  0.539999997 -0.0180539472  0.00315596526
  0.544999997 -0.0200968268  0.00340079668
  0.549999997 -0.0224053267  0.00380129669
  0.554999997 -0.0249800206  0.00428783451
  0.559999997 -0.0277861205  0.0047572686
  0.564999997 -0.030694975  0.00512867535
  0.569999997 -0.0333666875  0.00541166231
  0.574999996 -0.0351438099  0.00572241351
  0.579999996 -0.0352549133  0.00612795152
  0.584999996 -0.0334909405  0.00647957433
  0.589999996 -0.0305658374  0.00659553946
  0.594999996 -0.027426499  0.00646798991
  0.599999996 -0.0248499001  0.00626415921
  0.604999996 -0.0230645644  0.00612213209
  0.609999996 -0.0220744098  0.00610656783
  0.614999996 -0.0218272353  0.00621855492
  0.619999995 -0.0222920667  0.00644401701
  0.624999995 -0.0234878082  0.00675193544
  0.629999995 -0.0254890897  0.00708428041
  0.634999995 -0.028397387  0.0074210239
  0.639999995 -0.0322002062  0.00804319573
  0.644999995 -0.036376975  0.00947893323
  0.649999995 -0.039485088  0.0104145023
  0.654999995 -0.0401414872  0.00909770516
  0.659999995 -0.0390354514  0.00836731133
  0.664999994 -0.0379767787  0.0088440313
  0.669999994 -0.037832477  0.00936046865
  0.674999994 -0.0385317957  0.0100651185
  0.679999994 -0.0396860701  0.0110369203
  0.684999994 -0.0408688783  0.0119944431
  0.689999994 -0.0416946016  0.0125301504
  0.694999994 -0.0418624232  0.012342816
  0.699999994 -0.0412049391  0.0114309007
  0.704999994 -0.0397191112  0.0101998874
  0.709999993 -0.0375506192  0.00935280369
  0.714999993 -0.0349315404  0.00942563424
  0.719999993 -0.0321023396  0.0103209763
  0.724999993 -0.0292528307  0.0115735167
  0.729999993 -0.0264964587  0.0128256863
  0.734999993 -0.0238716248  0.0139012403
  0.739999993 -0.0213564822  0.0146784779
  0.744999993 -0.0188867309  0.0150432226
  0.749999993 -0.0163714297  0.0149848135
  0.754999992 -0.0137048325  0.014504339
  0.759999992 -0.0107720475  0.0136385985
  0.764999992 -0.00744716724  0.0124841132
  0.769999992 -0.00360333973  0.0110728039
  0.774999992  0.000738547178  0.00930604345
  0.779999992  0.00473664487  0.0079155788
  0.784999992  0.00596406493  0.00684710276
  0.789999992  0.00359743638  0.0056045638
  0.794999992  0.000752142444  0.00503724459
  0.799999991 -0.000846277235  0.0036486786
  0.804999991 -0.00146507816  0.00238522036
  0.809999991 -0.00158849485  0.00153703235
  0.814999991 -0.00149689631  0.00101623048
  0.819999991 -0.00132401202  0.00071236749
  0.824999991 -0.00112994229  0.000548961382
  0.829999991 -0.000940518266  0.000451079868
  0.834999991 -0.000765931574  0.000327750827
  0.839999991 -0.000609375581  0.000180769747
  0.84499999 -0.00047107829  8.28759269E-05
  0.84999999 -0.000350207662  3.56195096E-05
  0.85499999 -0.00024579572  1.44800878E-05
  0.85999999 -0.000157238383  5.16940559E-06
  0.86499999 -8.4703095E-05  1.37457038E-06
  0.86999999 -2.98783841E-05  1.70576643E-07