least_square_fit_4d.java fit u 3 degree polynomial in 4 dimensions terms used to find fit 0 a^0 * b^0 * c^0 * d^0 1 a^1 * b^0 * c^0 * d^0 2 a^0 * b^1 * c^0 * d^0 3 a^0 * b^0 * c^1 * d^0 4 a^0 * b^0 * c^0 * d^1 5 a^2 * b^0 * c^0 * d^0 6 a^1 * b^1 * c^0 * d^0 7 a^1 * b^0 * c^1 * d^0 8 a^1 * b^0 * c^0 * d^1 9 a^0 * b^2 * c^0 * d^0 10 a^0 * b^1 * c^1 * d^0 11 a^0 * b^1 * c^0 * d^1 12 a^0 * b^0 * c^2 * d^0 13 a^0 * b^0 * c^1 * d^1 14 a^0 * b^0 * c^0 * d^2 15 a^3 * b^0 * c^0 * d^0 16 a^2 * b^1 * c^0 * d^0 17 a^2 * b^0 * c^1 * d^0 18 a^2 * b^0 * c^0 * d^1 19 a^1 * b^2 * c^0 * d^0 20 a^1 * b^1 * c^1 * d^0 21 a^1 * b^1 * c^0 * d^1 22 a^1 * b^0 * c^2 * d^0 23 a^1 * b^0 * c^1 * d^1 24 a^1 * b^0 * c^0 * d^2 25 a^0 * b^3 * c^0 * d^0 26 a^0 * b^2 * c^1 * d^0 27 a^0 * b^2 * c^0 * d^1 28 a^0 * b^1 * c^2 * d^0 29 a^0 * b^1 * c^1 * d^1 30 a^0 * b^0 * c^3 * d^0 31 a^0 * b^0 * c^2 * d^1 32 a^0 * b^0 * c^1 * d^2 33 a^0 * b^0 * c^0 * d^3 C[0]=-4572.368074601669 C[1]=6678.959049708205 C[2]=6842.762779822736 C[3]=8521.473335422213 C[4]=3027.402541597603 C[5]=-2811.880416894917 C[6]=-2784.00059556455 C[7]=-2721.4005955645175 C[8]=-2802.8005955645353 C[9]=-3784.5947026089393 C[10]=-3390.0005955644833 C[11]=-594.4937700806371 C[12]=-4037.3089883234557 C[13]=-4131.200595564546 C[14]=-2787.1412898673543 C[15]=521.0489120496937 C[16]=556.2267063709696 C[17]=579.2267063709664 C[18]=596.2267063709681 C[19]=637.2267063709572 C[20]=372.31738891936874 C[21]=381.31738891936743 C[22]=582.226706370954 C[23]=599.3173889193649 C[24]=612.2267063709572 C[25]=749.0489120496602 C[26]=774.2267063709551 C[27]=791.2267063709545 C[28]=720.2267063709609 C[29]=737.3173889193595 C[30]=868.0489120496943 C[31]=887.2267063709646 C[32]=904.2267063709683 C[33]=919.0489120497095 check_4d k=624, amin=0.0, amax=4.0, bmin=0.0, bmax=4.0 cmin=0.0, cmax=4.0, dmin=0.0, dmax=4.0, umin=60.0, umax=445833.0 rms_err=1853.225142592111, avg_err=1514.8842054818354, max_err=9210.757244730834 fit u 4 degree polynomial in 4 dimensions terms used to find fit 0 a^0 * b^0 * c^0 * d^0 1 a^1 * b^0 * c^0 * d^0 2 a^0 * b^1 * c^0 * d^0 3 a^0 * b^0 * c^1 * d^0 4 a^0 * b^0 * c^0 * d^1 5 a^2 * b^0 * c^0 * d^0 6 a^1 * b^1 * c^0 * d^0 7 a^1 * b^0 * c^1 * d^0 8 a^1 * b^0 * c^0 * d^1 9 a^0 * b^2 * c^0 * d^0 10 a^0 * b^1 * c^1 * d^0 11 a^0 * b^1 * c^0 * d^1 12 a^0 * b^0 * c^2 * d^0 13 a^0 * b^0 * c^1 * d^1 14 a^0 * b^0 * c^0 * d^2 15 a^3 * b^0 * c^0 * d^0 16 a^2 * b^1 * c^0 * d^0 17 a^2 * b^0 * c^1 * d^0 18 a^2 * b^0 * c^0 * d^1 19 a^1 * b^2 * c^0 * d^0 20 a^1 * b^1 * c^1 * d^0 21 a^1 * b^1 * c^0 * d^1 22 a^1 * b^0 * c^2 * d^0 23 a^1 * b^0 * c^1 * d^1 24 a^1 * b^0 * c^0 * d^2 25 a^0 * b^3 * c^0 * d^0 26 a^0 * b^2 * c^1 * d^0 27 a^0 * b^2 * c^0 * d^1 28 a^0 * b^1 * c^2 * d^0 29 a^0 * b^1 * c^1 * d^1 30 a^0 * b^0 * c^3 * d^0 31 a^0 * b^0 * c^2 * d^1 32 a^0 * b^0 * c^1 * d^2 33 a^0 * b^0 * c^0 * d^3 34 a^4 * b^0 * c^0 * d^0 35 a^3 * b^1 * c^0 * d^0 36 a^3 * b^0 * c^1 * d^0 37 a^3 * b^0 * c^0 * d^1 38 a^2 * b^2 * c^0 * d^0 39 a^2 * b^1 * c^1 * d^0 40 a^2 * b^1 * c^0 * d^1 41 a^2 * b^0 * c^2 * d^0 42 a^2 * b^0 * c^1 * d^1 43 a^2 * b^0 * c^0 * d^2 44 a^1 * b^3 * c^0 * d^0 45 a^1 * b^2 * c^1 * d^0 46 a^1 * b^2 * c^0 * d^1 47 a^1 * b^0 * c^3 * d^0 48 a^1 * b^0 * c^2 * d^1 49 a^1 * b^0 * c^1 * d^2 50 a^1 * b^0 * c^0 * d^3 51 a^0 * b^4 * c^0 * d^0 52 a^0 * b^3 * c^1 * d^0 53 a^0 * b^3 * c^0 * d^1 54 a^0 * b^2 * c^2 * d^0 55 a^0 * b^2 * c^1 * d^1 56 a^0 * b^2 * c^0 * d^2 57 a^0 * b^1 * c^3 * d^0 58 a^0 * b^1 * c^2 * d^1 59 a^0 * b^1 * c^1 * d^2 60 a^0 * b^1 * c^0 * d^3 61 a^0 * b^0 * c^4 * d^0 62 a^0 * b^0 * c^3 * d^1 63 a^0 * b^0 * c^2 * d^2 64 a^0 * b^0 * c^1 * d^3 65 a^0 * b^0 * c^0 * d^4 C[0]=1.0000000020142465 C[1]=1.9999999955714998 C[2]=2.999999995985071 C[3]=3.9999999893588267 C[4]=4.999999991577624 C[5]=6.000000005662743 C[6]=6.999999999796804 C[7]=8.000000001205489 C[8]=9.000000000142961 C[9]=10.00000000638715 C[10]=11.000000000364455 C[11]=11.999999999405066 C[12]=13.000000011468552 C[13]=14.000000002021977 C[14]=15.000000009501946 C[15]=15.999999997636404 C[16]=17.00000000004567 C[17]=17.999999999720373 C[18]=19.000000000120945 C[19]=20.00000000000006 C[20]=21.00000000002297 C[21]=22.000000000191328 C[22]=22.99999999971475 C[23]=23.999999999888743 C[24]=24.999999999885745 C[25]=25.999999997155285 C[26]=27.00000000006152 C[27]=28.00000000035537 C[28]=28.99999999981029 C[29]=29.99999999992962 C[30]=30.999999995683837 C[31]=31.99999999958719 C[32]=32.99999999942595 C[33]=33.99999999638487 C[34]=35.00000000030595 C[35]=35.99999999997958 C[36]=37.000000000013706 C[37]=37.999999999964075 C[38]=39.00000000002688 C[39]=40.000000000000774 C[40]=40.99999999998012 C[41]=42.000000000042355 C[42]=43.0000000000061 C[43]=44.00000000003085 C[44]=44.99999999999286 C[45]=45.99999999999233 C[46]=46.99999999997108 C[47]=48.000000000014055 C[48]=49.00000000000887 C[49]=50.00000000000979 C[50]=50.999999999993875 C[51]=52.00000000037397 C[52]=52.999999999981064 C[53]=53.99999999994935 C[54]=55.000000000019334 C[55]=55.99999999999315 C[56]=57.0000000000056 C[57]=58.0000000000128 C[58]=59.00000000001135 C[59]=60.000000000010594 C[60]=60.999999999991864 C[61]=62.00000000052235 C[62]=63.00000000002311 C[63]=64.00000000005411 C[64]=65.00000000004977 C[65]=66.0000000004404 check_4d k=624, amin=0.0, amax=4.0, bmin=0.0, bmax=4.0 cmin=0.0, cmax=4.0, dmin=0.0, dmax=4.0, umin=60.0, umax=445833.0 rms_err=1.1487362997987327E-9, avg_err=9.256447801985173E-10, max_err=4.154571797698736E-9