divisionsForFFT03.m

% a_ww_yy where ww is power of w, yy is power of y
clc;

setSymbolVariables = 0

if (setSymbolVariables==1)

    syms a_00_00 a_00_01 a_00_02 a_00_03 a_00_04 a_00_05 a_00_06 a_00_07 a_00_08 a_00_09 a_00_10 a_00_11 a_00_12 a_00_13 a_00_14 a_00_15 a_00_16 a_00_17 a_00_18 a_00_19 a_00_20 a_00_21 a_00_22 a_00_23 a_00_24 a_00_25 a_00_26 a_00_27 a_00_28 a_00_29 a_00_30 a_00_31
    syms a_01_00 a_01_01 a_01_02 a_01_03 a_01_04 a_01_05 a_01_06 a_01_07 a_01_08 a_01_09 a_01_10 a_01_11 a_01_12 a_01_13 a_01_14 a_01_15 a_01_16 a_01_17 a_01_18 a_01_19 a_01_20 a_01_21 a_01_22 a_01_23 a_01_24 a_01_25 a_01_26 a_01_27 a_01_28 a_01_29 a_01_30 a_01_31
    syms a_02_00 a_02_01 a_02_02 a_02_03 a_02_04 a_02_05 a_02_06 a_02_07 a_02_08 a_02_09 a_02_10 a_02_11 a_02_12 a_02_13 a_02_14 a_02_15 a_02_16 a_02_17 a_02_18 a_02_19 a_02_20 a_02_21 a_02_22 a_02_23 a_02_24 a_02_25 a_02_26 a_02_27 a_02_28 a_02_29 a_02_30 a_02_31
    syms a_03_00 a_03_01 a_03_02 a_03_03 a_03_04 a_03_05 a_03_06 a_03_07 a_03_08 a_03_09 a_03_10 a_03_11 a_03_12 a_03_13 a_03_14 a_03_15 a_03_16 a_03_17 a_03_18 a_03_19 a_03_20 a_03_21 a_03_22 a_03_23 a_03_24 a_03_25 a_03_26 a_03_27 a_03_28 a_03_29 a_03_30 a_03_31
    syms a_04_00 a_04_01 a_04_02 a_04_03 a_04_04 a_04_05 a_04_06 a_04_07 a_04_08 a_04_09 a_04_10 a_04_11 a_04_12 a_04_13 a_04_14 a_04_15 a_04_16 a_04_17 a_04_18 a_04_19 a_04_20 a_04_21 a_04_22 a_04_23 a_04_24 a_04_25 a_04_26 a_04_27 a_04_28 a_04_29 a_04_30 a_04_31
    syms a_05_00 a_05_01 a_05_02 a_05_03 a_05_04 a_05_05 a_05_06 a_05_07 a_05_08 a_05_09 a_05_10 a_05_11 a_05_12 a_05_13 a_05_14 a_05_15 a_05_16 a_05_17 a_05_18 a_05_19 a_05_20 a_05_21 a_05_22 a_05_23 a_05_24 a_05_25 a_05_26 a_05_27 a_05_28 a_05_29 a_05_30 a_05_31
    syms a_06_00 a_06_01 a_06_02 a_06_03 a_06_04 a_06_05 a_06_06 a_06_07 a_06_08 a_06_09 a_06_10 a_06_11 a_06_12 a_06_13 a_06_14 a_06_15 a_06_16 a_06_17 a_06_18 a_06_19 a_06_20 a_06_21 a_06_22 a_06_23 a_06_24 a_06_25 a_06_26 a_06_27 a_06_28 a_06_29 a_06_30 a_06_31
    syms a_07_00 a_07_01 a_07_02 a_07_03 a_07_04 a_07_05 a_07_06 a_07_07 a_07_08 a_07_09 a_07_10 a_07_11 a_07_12 a_07_13 a_07_14 a_07_15 a_07_16 a_07_17 a_07_18 a_07_19 a_07_20 a_07_21 a_07_22 a_07_23 a_07_24 a_07_25 a_07_26 a_07_27 a_07_28 a_07_29 a_07_30 a_07_31
    syms a_08_00 a_08_01 a_08_02 a_08_03 a_08_04 a_08_05 a_08_06 a_08_07 a_08_08 a_08_09 a_08_10 a_08_11 a_08_12 a_08_13 a_08_14 a_08_15 a_08_16 a_08_17 a_08_18 a_08_19 a_08_20 a_08_21 a_08_22 a_08_23 a_08_24 a_08_25 a_08_26 a_08_27 a_08_28 a_08_29 a_08_30 a_08_31
    syms a_09_00 a_09_01 a_09_02 a_09_03 a_09_04 a_09_05 a_09_06 a_09_07 a_09_08 a_09_09 a_09_10 a_09_11 a_09_12 a_09_13 a_09_14 a_09_15 a_09_16 a_09_17 a_09_18 a_09_19 a_09_20 a_09_21 a_09_22 a_09_23 a_09_24 a_09_25 a_09_26 a_09_27 a_09_28 a_09_29 a_09_30 a_09_31
    syms a_10_00 a_10_01 a_10_02 a_10_03 a_10_04 a_10_05 a_10_06 a_10_07 a_10_08 a_10_09 a_10_10 a_10_11 a_10_12 a_10_13 a_10_14 a_10_15 a_10_16 a_10_17 a_10_18 a_10_19 a_10_20 a_10_21 a_10_22 a_10_23 a_10_24 a_10_25 a_10_26 a_10_27 a_10_28 a_10_29 a_10_30 a_10_31
    syms a_11_00 a_11_01 a_11_02 a_11_03 a_11_04 a_11_05 a_11_06 a_11_07 a_11_08 a_11_09 a_11_10 a_11_11 a_11_12 a_11_13 a_11_14 a_11_15 a_11_16 a_11_17 a_11_18 a_11_19 a_11_20 a_11_21 a_11_22 a_11_23 a_11_24 a_11_25 a_11_26 a_11_27 a_11_28 a_11_29 a_11_30 a_11_31
    syms a_12_00 a_12_01 a_12_02 a_12_03 a_12_04 a_12_05 a_12_06 a_12_07 a_12_08 a_12_09 a_12_10 a_12_11 a_12_12 a_12_13 a_12_14 a_12_15 a_12_16 a_12_17 a_12_18 a_12_19 a_12_20 a_12_21 a_12_22 a_12_23 a_12_24 a_12_25 a_12_26 a_12_27 a_12_28 a_12_29 a_12_30 a_12_31
    syms a_13_00 a_13_01 a_13_02 a_13_03 a_13_04 a_13_05 a_13_06 a_13_07 a_13_08 a_13_09 a_13_10 a_13_11 a_13_12 a_13_13 a_13_14 a_13_15 a_13_16 a_13_17 a_13_18 a_13_19 a_13_20 a_13_21 a_13_22 a_13_23 a_13_24 a_13_25 a_13_26 a_13_27 a_13_28 a_13_29 a_13_30 a_13_31
    syms a_14_00 a_14_01 a_14_02 a_14_03 a_14_04 a_14_05 a_14_06 a_14_07 a_14_08 a_14_09 a_14_10 a_14_11 a_14_12 a_14_13 a_14_14 a_14_15 a_14_16 a_14_17 a_14_18 a_14_19 a_14_20 a_14_21 a_14_22 a_14_23 a_14_24 a_14_25 a_14_26 a_14_27 a_14_28 a_14_29 a_14_30 a_14_31
    syms a_15_00 a_15_01 a_15_02 a_15_03 a_15_04 a_15_05 a_15_06 a_15_07 a_15_08 a_15_09 a_15_10 a_15_11 a_15_12 a_15_13 a_15_14 a_15_15 a_15_16 a_15_17 a_15_18 a_15_19 a_15_20 a_15_21 a_15_22 a_15_23 a_15_24 a_15_25 a_15_26 a_15_27 a_15_28 a_15_29 a_15_30 a_15_31
    syms a_16_00 a_16_01 a_16_02 a_16_03 a_16_04 a_16_05 a_16_06 a_16_07 a_16_08 a_16_09 a_16_10 a_16_11 a_16_12 a_16_13 a_16_14 a_16_15 a_16_16 a_16_17 a_16_18 a_16_19 a_16_20 a_16_21 a_16_22 a_16_23 a_16_24 a_16_25 a_16_26 a_16_27 a_16_28 a_16_29 a_16_30 a_16_31
    syms a_17_00 a_17_01 a_17_02 a_17_03 a_17_04 a_17_05 a_17_06 a_17_07 a_17_08 a_17_09 a_17_10 a_17_11 a_17_12 a_17_13 a_17_14 a_17_15 a_17_16 a_17_17 a_17_18 a_17_19 a_17_20 a_17_21 a_17_22 a_17_23 a_17_24 a_17_25 a_17_26 a_17_27 a_17_28 a_17_29 a_17_30 a_17_31
    syms a_18_00 a_18_01 a_18_02 a_18_03 a_18_04 a_18_05 a_18_06 a_18_07 a_18_08 a_18_09 a_18_10 a_18_11 a_18_12 a_18_13 a_18_14 a_18_15 a_18_16 a_18_17 a_18_18 a_18_19 a_18_20 a_18_21 a_18_22 a_18_23 a_18_24 a_18_25 a_18_26 a_18_27 a_18_28 a_18_29 a_18_30 a_18_31
    syms a_19_00 a_19_01 a_19_02 a_19_03 a_19_04 a_19_05 a_19_06 a_19_07 a_19_08 a_19_09 a_19_10 a_19_11 a_19_12 a_19_13 a_19_14 a_19_15 a_19_16 a_19_17 a_19_18 a_19_19 a_19_20 a_19_21 a_19_22 a_19_23 a_19_24 a_19_25 a_19_26 a_19_27 a_19_28 a_19_29 a_19_30 a_19_31
    syms a_20_00 a_20_01 a_20_02 a_20_03 a_20_04 a_20_05 a_20_06 a_20_07 a_20_08 a_20_09 a_20_10 a_20_11 a_20_12 a_20_13 a_20_14 a_20_15 a_20_16 a_20_17 a_20_18 a_20_19 a_20_20 a_20_21 a_20_22 a_20_23 a_20_24 a_20_25 a_20_26 a_20_27 a_20_28 a_20_29 a_20_30 a_20_31
    syms a_21_00 a_21_01 a_21_02 a_21_03 a_21_04 a_21_05 a_21_06 a_21_07 a_21_08 a_21_09 a_21_10 a_21_11 a_21_12 a_21_13 a_21_14 a_21_15 a_21_16 a_21_17 a_21_18 a_21_19 a_21_20 a_21_21 a_21_22 a_21_23 a_21_24 a_21_25 a_21_26 a_21_27 a_21_28 a_21_29 a_21_30 a_21_31
    syms a_22_00 a_22_01 a_22_02 a_22_03 a_22_04 a_22_05 a_22_06 a_22_07 a_22_08 a_22_09 a_22_10 a_22_11 a_22_12 a_22_13 a_22_14 a_22_15 a_22_16 a_22_17 a_22_18 a_22_19 a_22_20 a_22_21 a_22_22 a_22_23 a_22_24 a_22_25 a_22_26 a_22_27 a_22_28 a_22_29 a_22_30 a_22_31
    syms a_23_00 a_23_01 a_23_02 a_23_03 a_23_04 a_23_05 a_23_06 a_23_07 a_23_08 a_23_09 a_23_10 a_23_11 a_23_12 a_23_13 a_23_14 a_23_15 a_23_16 a_23_17 a_23_18 a_23_19 a_23_20 a_23_21 a_23_22 a_23_23 a_23_24 a_23_25 a_23_26 a_23_27 a_23_28 a_23_29 a_23_30 a_23_31
    syms a_24_00 a_24_01 a_24_02 a_24_03 a_24_04 a_24_05 a_24_06 a_24_07 a_24_08 a_24_09 a_24_10 a_24_11 a_24_12 a_24_13 a_24_14 a_24_15 a_24_16 a_24_17 a_24_18 a_24_19 a_24_20 a_24_21 a_24_22 a_24_23 a_24_24 a_24_25 a_24_26 a_24_27 a_24_28 a_24_29 a_24_30 a_24_31
    syms a_25_00 a_25_01 a_25_02 a_25_03 a_25_04 a_25_05 a_25_06 a_25_07 a_25_08 a_25_09 a_25_10 a_25_11 a_25_12 a_25_13 a_25_14 a_25_15 a_25_16 a_25_17 a_25_18 a_25_19 a_25_20 a_25_21 a_25_22 a_25_23 a_25_24 a_25_25 a_25_26 a_25_27 a_25_28 a_25_29 a_25_30 a_25_31
    syms a_26_00 a_26_01 a_26_02 a_26_03 a_26_04 a_26_05 a_26_06 a_26_07 a_26_08 a_26_09 a_26_10 a_26_11 a_26_12 a_26_13 a_26_14 a_26_15 a_26_16 a_26_17 a_26_18 a_26_19 a_26_20 a_26_21 a_26_22 a_26_23 a_26_24 a_26_25 a_26_26 a_26_27 a_26_28 a_26_29 a_26_30 a_26_31
    syms a_27_00 a_27_01 a_27_02 a_27_03 a_27_04 a_27_05 a_27_06 a_27_07 a_27_08 a_27_09 a_27_10 a_27_11 a_27_12 a_27_13 a_27_14 a_27_15 a_27_16 a_27_17 a_27_18 a_27_19 a_27_20 a_27_21 a_27_22 a_27_23 a_27_24 a_27_25 a_27_26 a_27_27 a_27_28 a_27_29 a_27_30 a_27_31
    syms a_28_00 a_28_01 a_28_02 a_28_03 a_28_04 a_28_05 a_28_06 a_28_07 a_28_08 a_28_09 a_28_10 a_28_11 a_28_12 a_28_13 a_28_14 a_28_15 a_28_16 a_28_17 a_28_18 a_28_19 a_28_20 a_28_21 a_28_22 a_28_23 a_28_24 a_28_25 a_28_26 a_28_27 a_28_28 a_28_29 a_28_30 a_28_31
    syms a_29_00 a_29_01 a_29_02 a_29_03 a_29_04 a_29_05 a_29_06 a_29_07 a_29_08 a_29_09 a_29_10 a_29_11 a_29_12 a_29_13 a_29_14 a_29_15 a_29_16 a_29_17 a_29_18 a_29_19 a_29_20 a_29_21 a_29_22 a_29_23 a_29_24 a_29_25 a_29_26 a_29_27 a_29_28 a_29_29 a_29_30 a_29_31
    syms a_30_00 a_30_01 a_30_02 a_30_03 a_30_04 a_30_05 a_30_06 a_30_07 a_30_08 a_30_09 a_30_10 a_30_11 a_30_12 a_30_13 a_30_14 a_30_15 a_30_16 a_30_17 a_30_18 a_30_19 a_30_20 a_30_21 a_30_22 a_30_23 a_30_24 a_30_25 a_30_26 a_30_27 a_30_28 a_30_29 a_30_30 a_30_31
    syms a_31_00 a_31_01 a_31_02 a_31_03 a_31_04 a_31_05 a_31_06 a_31_07 a_31_08 a_31_09 a_31_10 a_31_11 a_31_12 a_31_13 a_31_14 a_31_15 a_31_16 a_31_17 a_31_18 a_31_19 a_31_20 a_31_21 a_31_22 a_31_23 a_31_24 a_31_25 a_31_26 a_31_27 a_31_28 a_31_29 a_31_30 a_31_31

    syms y w z

    %syms matrixValues [31 31 31]
    
    syms f_00(a_00_00, a_00_01, a_00_02, a_00_03, a_00_04, a_00_05, a_00_06, a_00_07, a_00_08, a_00_09, a_00_10, a_00_11, a_00_12, a_00_13, a_00_14, a_00_15, a_00_16, a_00_17, a_00_18, a_00_19, a_00_20, a_00_21, a_00_22, a_00_23, a_00_24, a_00_25, a_00_26, a_00_27, a_00_28, a_00_29, a_00_30, a_00_31, w, y)
    syms f_01(a_01_00, a_01_01, a_01_02, a_01_03, a_01_04, a_01_05, a_01_06, a_01_07, a_01_08, a_01_09, a_01_10, a_01_11, a_01_12, a_01_13, a_01_14, a_01_15, a_01_16, a_01_17, a_01_18, a_01_19, a_01_20, a_01_21, a_01_22, a_01_23, a_01_24, a_01_25, a_01_26, a_01_27, a_01_28, a_01_29, a_01_30, a_01_31, w, y)
    syms f_02(a_02_00, a_02_01, a_02_02, a_02_03, a_02_04, a_02_05, a_02_06, a_02_07, a_02_08, a_02_09, a_02_10, a_02_11, a_02_12, a_02_13, a_02_14, a_02_15, a_02_16, a_02_17, a_02_18, a_02_19, a_02_20, a_02_21, a_02_22, a_02_23, a_02_24, a_02_25, a_02_26, a_02_27, a_02_28, a_02_29, a_02_30, a_02_31, w, y)
    syms f_03(a_03_00, a_03_01, a_03_02, a_03_03, a_03_04, a_03_05, a_03_06, a_03_07, a_03_08, a_03_09, a_03_10, a_03_11, a_03_12, a_03_13, a_03_14, a_03_15, a_03_16, a_03_17, a_03_18, a_03_19, a_03_20, a_03_21, a_03_22, a_03_23, a_03_24, a_03_25, a_03_26, a_03_27, a_03_28, a_03_29, a_03_30, a_03_31, w, y)
    syms f_04(a_04_00, a_04_01, a_04_02, a_04_03, a_04_04, a_04_05, a_04_06, a_04_07, a_04_08, a_04_09, a_04_10, a_04_11, a_04_12, a_04_13, a_04_14, a_04_15, a_04_16, a_04_17, a_04_18, a_04_19, a_04_20, a_04_21, a_04_22, a_04_23, a_04_24, a_04_25, a_04_26, a_04_27, a_04_28, a_04_29, a_04_30, a_04_31, w, y)
    syms f_05(a_05_00, a_05_01, a_05_02, a_05_03, a_05_04, a_05_05, a_05_06, a_05_07, a_05_08, a_05_09, a_05_10, a_05_11, a_05_12, a_05_13, a_05_14, a_05_15, a_05_16, a_05_17, a_05_18, a_05_19, a_05_20, a_05_21, a_05_22, a_05_23, a_05_24, a_05_25, a_05_26, a_05_27, a_05_28, a_05_29, a_05_30, a_05_31, w, y)
    syms f_06(a_06_00, a_06_01, a_06_02, a_06_03, a_06_04, a_06_05, a_06_06, a_06_07, a_06_08, a_06_09, a_06_10, a_06_11, a_06_12, a_06_13, a_06_14, a_06_15, a_06_16, a_06_17, a_06_18, a_06_19, a_06_20, a_06_21, a_06_22, a_06_23, a_06_24, a_06_25, a_06_26, a_06_27, a_06_28, a_06_29, a_06_30, a_06_31, w, y)
    syms f_07(a_07_00, a_07_01, a_07_02, a_07_03, a_07_04, a_07_05, a_07_06, a_07_07, a_07_08, a_07_09, a_07_10, a_07_11, a_07_12, a_07_13, a_07_14, a_07_15, a_07_16, a_07_17, a_07_18, a_07_19, a_07_20, a_07_21, a_07_22, a_07_23, a_07_24, a_07_25, a_07_26, a_07_27, a_07_28, a_07_29, a_07_30, a_07_31, w, y)
    syms f_08(a_08_00, a_08_01, a_08_02, a_08_03, a_08_04, a_08_05, a_08_06, a_08_07, a_08_08, a_08_09, a_08_10, a_08_11, a_08_12, a_08_13, a_08_14, a_08_15, a_08_16, a_08_17, a_08_18, a_08_19, a_08_20, a_08_21, a_08_22, a_08_23, a_08_24, a_08_25, a_08_26, a_08_27, a_08_28, a_08_29, a_08_30, a_08_31, w, y)
    syms f_09(a_09_00, a_09_01, a_09_02, a_09_03, a_09_04, a_09_05, a_09_06, a_09_07, a_09_08, a_09_09, a_09_10, a_09_11, a_09_12, a_09_13, a_09_14, a_09_15, a_09_16, a_09_17, a_09_18, a_09_19, a_09_20, a_09_21, a_09_22, a_09_23, a_09_24, a_09_25, a_09_26, a_09_27, a_09_28, a_09_29, a_09_30, a_09_31, w, y)
    syms f_10(a_10_00, a_10_01, a_10_02, a_10_03, a_10_04, a_10_05, a_10_06, a_10_07, a_10_08, a_10_09, a_10_10, a_10_11, a_10_12, a_10_13, a_10_14, a_10_15, a_10_16, a_10_17, a_10_18, a_10_19, a_10_20, a_10_21, a_10_22, a_10_23, a_10_24, a_10_25, a_10_26, a_10_27, a_10_28, a_10_29, a_10_30, a_10_31, w, y)
    syms f_11(a_11_00, a_11_01, a_11_02, a_11_03, a_11_04, a_11_05, a_11_06, a_11_07, a_11_08, a_11_09, a_11_10, a_11_11, a_11_12, a_11_13, a_11_14, a_11_15, a_11_16, a_11_17, a_11_18, a_11_19, a_11_20, a_11_21, a_11_22, a_11_23, a_11_24, a_11_25, a_11_26, a_11_27, a_11_28, a_11_29, a_11_30, a_11_31, w, y)
    syms f_12(a_12_00, a_12_01, a_12_02, a_12_03, a_12_04, a_12_05, a_12_06, a_12_07, a_12_08, a_12_09, a_12_10, a_12_11, a_12_12, a_12_13, a_12_14, a_12_15, a_12_16, a_12_17, a_12_18, a_12_19, a_12_20, a_12_21, a_12_22, a_12_23, a_12_24, a_12_25, a_12_26, a_12_27, a_12_28, a_12_29, a_12_30, a_12_31, w, y)
    syms f_13(a_13_00, a_13_01, a_13_02, a_13_03, a_13_04, a_13_05, a_13_06, a_13_07, a_13_08, a_13_09, a_13_10, a_13_11, a_13_12, a_13_13, a_13_14, a_13_15, a_13_16, a_13_17, a_13_18, a_13_19, a_13_20, a_13_21, a_13_22, a_13_23, a_13_24, a_13_25, a_13_26, a_13_27, a_13_28, a_13_29, a_13_30, a_13_31, w, y)
    syms f_14(a_14_00, a_14_01, a_14_02, a_14_03, a_14_04, a_14_05, a_14_06, a_14_07, a_14_08, a_14_09, a_14_10, a_14_11, a_14_12, a_14_13, a_14_14, a_14_15, a_14_16, a_14_17, a_14_18, a_14_19, a_14_20, a_14_21, a_14_22, a_14_23, a_14_24, a_14_25, a_14_26, a_14_27, a_14_28, a_14_29, a_14_30, a_14_31, w, y)
    syms f_15(a_15_00, a_15_01, a_15_02, a_15_03, a_15_04, a_15_05, a_15_06, a_15_07, a_15_08, a_15_09, a_15_10, a_15_11, a_15_12, a_15_13, a_15_14, a_15_15, a_15_16, a_15_17, a_15_18, a_15_19, a_15_20, a_15_21, a_15_22, a_15_23, a_15_24, a_15_25, a_15_26, a_15_27, a_15_28, a_15_29, a_15_30, a_15_31, w, y)
    syms f_16(a_16_00, a_16_01, a_16_02, a_16_03, a_16_04, a_16_05, a_16_06, a_16_07, a_16_08, a_16_09, a_16_10, a_16_11, a_16_12, a_16_13, a_16_14, a_16_15, a_16_16, a_16_17, a_16_18, a_16_19, a_16_20, a_16_21, a_16_22, a_16_23, a_16_24, a_16_25, a_16_26, a_16_27, a_16_28, a_16_29, a_16_30, a_16_31, w, y)
    syms f_17(a_17_00, a_17_01, a_17_02, a_17_03, a_17_04, a_17_05, a_17_06, a_17_07, a_17_08, a_17_09, a_17_10, a_17_11, a_17_12, a_17_13, a_17_14, a_17_15, a_17_16, a_17_17, a_17_18, a_17_19, a_17_20, a_17_21, a_17_22, a_17_23, a_17_24, a_17_25, a_17_26, a_17_27, a_17_28, a_17_29, a_17_30, a_17_31, w, y)
    syms f_18(a_18_00, a_18_01, a_18_02, a_18_03, a_18_04, a_18_05, a_18_06, a_18_07, a_18_08, a_18_09, a_18_10, a_18_11, a_18_12, a_18_13, a_18_14, a_18_15, a_18_16, a_18_17, a_18_18, a_18_19, a_18_20, a_18_21, a_18_22, a_18_23, a_18_24, a_18_25, a_18_26, a_18_27, a_18_28, a_18_29, a_18_30, a_18_31, w, y)
    syms f_19(a_19_00, a_19_01, a_19_02, a_19_03, a_19_04, a_19_05, a_19_06, a_19_07, a_19_08, a_19_09, a_19_10, a_19_11, a_19_12, a_19_13, a_19_14, a_19_15, a_19_16, a_19_17, a_19_18, a_19_19, a_19_20, a_19_21, a_19_22, a_19_23, a_19_24, a_19_25, a_19_26, a_19_27, a_19_28, a_19_29, a_19_30, a_19_31, w, y)
    syms f_20(a_20_00, a_20_01, a_20_02, a_20_03, a_20_04, a_20_05, a_20_06, a_20_07, a_20_08, a_20_09, a_20_10, a_20_11, a_20_12, a_20_13, a_20_14, a_20_15, a_20_16, a_20_17, a_20_18, a_20_19, a_20_20, a_20_21, a_20_22, a_20_23, a_20_24, a_20_25, a_20_26, a_20_27, a_20_28, a_20_29, a_20_30, a_20_31, w, y)
    syms f_21(a_21_00, a_21_01, a_21_02, a_21_03, a_21_04, a_21_05, a_21_06, a_21_07, a_21_08, a_21_09, a_21_10, a_21_11, a_21_12, a_21_13, a_21_14, a_21_15, a_21_16, a_21_17, a_21_18, a_21_19, a_21_20, a_21_21, a_21_22, a_21_23, a_21_24, a_21_25, a_21_26, a_21_27, a_21_28, a_21_29, a_21_30, a_21_31, w, y)
    syms f_22(a_22_00, a_22_01, a_22_02, a_22_03, a_22_04, a_22_05, a_22_06, a_22_07, a_22_08, a_22_09, a_22_10, a_22_11, a_22_12, a_22_13, a_22_14, a_22_15, a_22_16, a_22_17, a_22_18, a_22_19, a_22_20, a_22_21, a_22_22, a_22_23, a_22_24, a_22_25, a_22_26, a_22_27, a_22_28, a_22_29, a_22_30, a_22_31, w, y)
    syms f_23(a_23_00, a_23_01, a_23_02, a_23_03, a_23_04, a_23_05, a_23_06, a_23_07, a_23_08, a_23_09, a_23_10, a_23_11, a_23_12, a_23_13, a_23_14, a_23_15, a_23_16, a_23_17, a_23_18, a_23_19, a_23_20, a_23_21, a_23_22, a_23_23, a_23_24, a_23_25, a_23_26, a_23_27, a_23_28, a_23_29, a_23_30, a_23_31, w, y)
    syms f_24(a_24_00, a_24_01, a_24_02, a_24_03, a_24_04, a_24_05, a_24_06, a_24_07, a_24_08, a_24_09, a_24_10, a_24_11, a_24_12, a_24_13, a_24_14, a_24_15, a_24_16, a_24_17, a_24_18, a_24_19, a_24_20, a_24_21, a_24_22, a_24_23, a_24_24, a_24_25, a_24_26, a_24_27, a_24_28, a_24_29, a_24_30, a_24_31, w, y)
    syms f_25(a_25_00, a_25_01, a_25_02, a_25_03, a_25_04, a_25_05, a_25_06, a_25_07, a_25_08, a_25_09, a_25_10, a_25_11, a_25_12, a_25_13, a_25_14, a_25_15, a_25_16, a_25_17, a_25_18, a_25_19, a_25_20, a_25_21, a_25_22, a_25_23, a_25_24, a_25_25, a_25_26, a_25_27, a_25_28, a_25_29, a_25_30, a_25_31, w, y)
    syms f_26(a_26_00, a_26_01, a_26_02, a_26_03, a_26_04, a_26_05, a_26_06, a_26_07, a_26_08, a_26_09, a_26_10, a_26_11, a_26_12, a_26_13, a_26_14, a_26_15, a_26_16, a_26_17, a_26_18, a_26_19, a_26_20, a_26_21, a_26_22, a_26_23, a_26_24, a_26_25, a_26_26, a_26_27, a_26_28, a_26_29, a_26_30, a_26_31, w, y)
    syms f_27(a_27_00, a_27_01, a_27_02, a_27_03, a_27_04, a_27_05, a_27_06, a_27_07, a_27_08, a_27_09, a_27_10, a_27_11, a_27_12, a_27_13, a_27_14, a_27_15, a_27_16, a_27_17, a_27_18, a_27_19, a_27_20, a_27_21, a_27_22, a_27_23, a_27_24, a_27_25, a_27_26, a_27_27, a_27_28, a_27_29, a_27_30, a_27_31, w, y)
    syms f_28(a_28_00, a_28_01, a_28_02, a_28_03, a_28_04, a_28_05, a_28_06, a_28_07, a_28_08, a_28_09, a_28_10, a_28_11, a_28_12, a_28_13, a_28_14, a_28_15, a_28_16, a_28_17, a_28_18, a_28_19, a_28_20, a_28_21, a_28_22, a_28_23, a_28_24, a_28_25, a_28_26, a_28_27, a_28_28, a_28_29, a_28_30, a_28_31, w, y)
    syms f_29(a_29_00, a_29_01, a_29_02, a_29_03, a_29_04, a_29_05, a_29_06, a_29_07, a_29_08, a_29_09, a_29_10, a_29_11, a_29_12, a_29_13, a_29_14, a_29_15, a_29_16, a_29_17, a_29_18, a_29_19, a_29_20, a_29_21, a_29_22, a_29_23, a_29_24, a_29_25, a_29_26, a_29_27, a_29_28, a_29_29, a_29_30, a_29_31, w, y)
    syms f_30(a_30_00, a_30_01, a_30_02, a_30_03, a_30_04, a_30_05, a_30_06, a_30_07, a_30_08, a_30_09, a_30_10, a_30_11, a_30_12, a_30_13, a_30_14, a_30_15, a_30_16, a_30_17, a_30_18, a_30_19, a_30_20, a_30_21, a_30_22, a_30_23, a_30_24, a_30_25, a_30_26, a_30_27, a_30_28, a_30_29, a_30_30, a_30_31, w, y)
    syms f_31(a_31_00, a_31_01, a_31_02, a_31_03, a_31_04, a_31_05, a_31_06, a_31_07, a_31_08, a_31_09, a_31_10, a_31_11, a_31_12, a_31_13, a_31_14, a_31_15, a_31_16, a_31_17, a_31_18, a_31_19, a_31_20, a_31_21, a_31_22, a_31_23, a_31_24, a_31_25, a_31_26, a_31_27, a_31_28, a_31_29, a_31_30, a_31_31, w, y)

    syms matrixValues00 [32 32]
    syms matrixValues01 [32 32]
    syms matrixValues02 [32 32]
    syms matrixValues03 [32 32]
    syms matrixValues04 [32 32]
    syms matrixValues05 [32 32]
    syms matrixValues06 [32 32]
    syms matrixValues07 [32 32]
    syms matrixValues08 [32 32]
    syms matrixValues09 [32 32]
    syms matrixValues10 [32 32]
    syms matrixValues11 [32 32]
    syms matrixValues12 [32 32]
    syms matrixValues13 [32 32]
    syms matrixValues14 [32 32]
    syms matrixValues15 [32 32]
    syms matrixValues16 [32 32]
    syms matrixValues17 [32 32]
    syms matrixValues18 [32 32]
    syms matrixValues19 [32 32]
    syms matrixValues20 [32 32]
    syms matrixValues21 [32 32]
    syms matrixValues22 [32 32]
    syms matrixValues23 [32 32]
    syms matrixValues24 [32 32]
    syms matrixValues25 [32 32]
    syms matrixValues26 [32 32]
    syms matrixValues27 [32 32]
    syms matrixValues28 [32 32]
    syms matrixValues29 [32 32]
    syms matrixValues30 [32 32]
    syms matrixValues31 [32 32]

end

sympref('PolynomialDisplayStyle','descend');



f_00(w)=(a_00_00 + a_00_01*y + a_00_02*y^2 + a_00_03*y^3 + a_00_04*y^4 + a_00_05*y^5 + a_00_06*y^6 + a_00_07*y^7 + a_00_08*y^8 + a_00_09*y^9 + a_00_10*y^10 + a_00_11*y^11 + ...
    a_00_12*y^12 + a_00_13*y^13 + a_00_14*y^14 + a_00_15*y^15 + a_00_16*y^16 + a_00_17*y^17 + a_00_18*y^18 + a_00_19*y^19 + a_00_20*y^20 + a_00_21*y^21 + a_00_22*y^22 + ...
    a_00_23*y^23 + a_00_24*y^24 + a_00_25*y^25 + a_00_26*y^26 + a_00_27*y^27 + a_00_28*y^28 + a_00_29*y^29 + a_00_30*y^30 + a_00_31*y^31);

f_01(w)=(a_01_00 + a_01_01*y + a_01_02*y^2 + a_01_03*y^3 + a_01_04*y^4 + a_01_05*y^5 + a_01_06*y^6 + a_01_07*y^7 + a_01_08*y^8 + a_01_09*y^9 + a_01_10*y^10 + a_01_11*y^11 + ...
    a_01_12*y^12 + a_01_13*y^13 + a_01_14*y^14 + a_01_15*y^15 + a_01_16*y^16 + a_01_17*y^17 + a_01_18*y^18 + a_01_19*y^19 + a_01_20*y^20 + a_01_21*y^21 + a_01_22*y^22 + ...
    a_01_23*y^23 + a_01_24*y^24 + a_01_25*y^25 + a_01_26*y^26 + a_01_27*y^27 + a_01_28*y^28 + a_01_29*y^29 + a_01_30*y^30 + a_01_31*y^31)*w;

f_02(w)=(a_02_00 + a_02_01*y + a_02_02*y^2 + a_02_03*y^3 + a_02_04*y^4 + a_02_05*y^5 + a_02_06*y^6 + a_02_07*y^7 + a_02_08*y^8 + a_02_09*y^9 + a_02_10*y^10 + a_02_11*y^11 + ...
    a_02_12*y^12 + a_02_13*y^13 + a_02_14*y^14 + a_02_15*y^15 + a_02_16*y^16 + a_02_17*y^17 + a_02_18*y^18 + a_02_19*y^19 + a_02_20*y^20 + a_02_21*y^21 + a_02_22*y^22 + ...
    a_02_23*y^23 + a_02_24*y^24 + a_02_25*y^25 + a_02_26*y^26 + a_02_27*y^27 + a_02_28*y^28 + a_02_29*y^29 + a_02_30*y^30 + a_02_31*y^31)*w^2;

f_03(w)=(a_03_00 + a_03_01*y + a_03_02*y^2 + a_03_03*y^3 + a_03_04*y^4 + a_03_05*y^5 + a_03_06*y^6 + a_03_07*y^7 + a_03_08*y^8 + a_03_09*y^9 + a_03_10*y^10 + a_03_11*y^11 + ...
    a_03_12*y^12 + a_03_13*y^13 + a_03_14*y^14 + a_03_15*y^15 + a_03_16*y^16 + a_03_17*y^17 + a_03_18*y^18 + a_03_19*y^19 + a_03_20*y^20 + a_03_21*y^21 + a_03_22*y^22 + ...
    a_03_23*y^23 + a_03_24*y^24 + a_03_25*y^25 + a_03_26*y^26 + a_03_27*y^27 + a_03_28*y^28 + a_03_29*y^29 + a_03_30*y^30 + a_03_31*y^31)*w^3;

f_04(w)=(a_04_00 + a_04_01*y + a_04_02*y^2 + a_04_03*y^3 + a_04_04*y^4 + a_04_05*y^5 + a_04_06*y^6 + a_04_07*y^7 + a_04_08*y^8 + a_04_09*y^9 + a_04_10*y^10 + a_04_11*y^11 + ...
    a_04_12*y^12 + a_04_13*y^13 + a_04_14*y^14 + a_04_15*y^15 + a_04_16*y^16 + a_04_17*y^17 + a_04_18*y^18 + a_04_19*y^19 + a_04_20*y^20 + a_04_21*y^21 + a_04_22*y^22 + ...
    a_04_23*y^23 + a_04_24*y^24 + a_04_25*y^25 + a_04_26*y^26 + a_04_27*y^27 + a_04_28*y^28 + a_04_29*y^29 + a_04_30*y^30 + a_04_31*y^31)*w^4;

f_05(w)=(a_05_00 + a_05_01*y + a_05_02*y^2 + a_05_03*y^3 + a_05_04*y^4 + a_05_05*y^5 + a_05_06*y^6 + a_05_07*y^7 + a_05_08*y^8 + a_05_09*y^9 + a_05_10*y^10 + a_05_11*y^11 + ...
    a_05_12*y^12 + a_05_13*y^13 + a_05_14*y^14 + a_05_15*y^15 + a_05_16*y^16 + a_05_17*y^17 + a_05_18*y^18 + a_05_19*y^19 + a_05_20*y^20 + a_05_21*y^21 + a_05_22*y^22 + ...
    a_05_23*y^23 + a_05_24*y^24 + a_05_25*y^25 + a_05_26*y^26 + a_05_27*y^27 + a_05_28*y^28 + a_05_29*y^29 + a_05_30*y^30 + a_05_31*y^31)*w^5;

f_06(w)=(a_06_00 + a_06_01*y + a_06_02*y^2 + a_06_03*y^3 + a_06_04*y^4 + a_06_05*y^5 + a_06_06*y^6 + a_06_07*y^7 + a_06_08*y^8 + a_06_09*y^9 + a_06_10*y^10 + a_06_11*y^11 + ...
    a_06_12*y^12 + a_06_13*y^13 + a_06_14*y^14 + a_06_15*y^15 + a_06_16*y^16 + a_06_17*y^17 + a_06_18*y^18 + a_06_19*y^19 + a_06_20*y^20 + a_06_21*y^21 + a_06_22*y^22 + ...
    a_06_23*y^23 + a_06_24*y^24 + a_06_25*y^25 + a_06_26*y^26 + a_06_27*y^27 + a_06_28*y^28 + a_06_29*y^29 + a_06_30*y^30 + a_06_31*y^31)*w^6;

f_07(w)=(a_07_00 + a_07_01*y + a_07_02*y^2 + a_07_03*y^3 + a_07_04*y^4 + a_07_05*y^5 + a_07_06*y^6 + a_07_07*y^7 + a_07_08*y^8 + a_07_09*y^9 + a_07_10*y^10 + a_07_11*y^11 + ...
    a_07_12*y^12 + a_07_13*y^13 + a_07_14*y^14 + a_07_15*y^15 + a_07_16*y^16 + a_07_17*y^17 + a_07_18*y^18 + a_07_19*y^19 + a_07_20*y^20 + a_07_21*y^21 + a_07_22*y^22 + ...
    a_07_23*y^23 + a_07_24*y^24 + a_07_25*y^25 + a_07_26*y^26 + a_07_27*y^27 + a_07_28*y^28 + a_07_29*y^29 + a_07_30*y^30 + a_07_31*y^31)*w^7;

f_08(w)=(a_08_00 + a_08_01*y + a_08_02*y^2 + a_08_03*y^3 + a_08_04*y^4 + a_08_05*y^5 + a_08_06*y^6 + a_08_07*y^7 + a_08_08*y^8 + a_08_09*y^9 + a_08_10*y^10 + a_08_11*y^11 + ...
    a_08_12*y^12 + a_08_13*y^13 + a_08_14*y^14 + a_08_15*y^15 + a_08_16*y^16 + a_08_17*y^17 + a_08_18*y^18 + a_08_19*y^19 + a_08_20*y^20 + a_08_21*y^21 + a_08_22*y^22 + ...
    a_08_23*y^23 + a_08_24*y^24 + a_08_25*y^25 + a_08_26*y^26 + a_08_27*y^27 + a_08_28*y^28 + a_08_29*y^29 + a_08_30*y^30 + a_08_31*y^31)*w^8;

f_09(w)=(a_09_00 + a_09_01*y + a_09_02*y^2 + a_09_03*y^3 + a_09_04*y^4 + a_09_05*y^5 + a_09_06*y^6 + a_09_07*y^7 + a_09_08*y^8 + a_09_09*y^9 + a_09_10*y^10 + a_09_11*y^11 + ...
    a_09_12*y^12 + a_09_13*y^13 + a_09_14*y^14 + a_09_15*y^15 + a_09_16*y^16 + a_09_17*y^17 + a_09_18*y^18 + a_09_19*y^19 + a_09_20*y^20 + a_09_21*y^21 + a_09_22*y^22 + ...
    a_09_23*y^23 + a_09_24*y^24 + a_09_25*y^25 + a_09_26*y^26 + a_09_27*y^27 + a_09_28*y^28 + a_09_29*y^29 + a_09_30*y^30 + a_09_31*y^31)*w^9;

f_10(w)=(a_10_00 + a_10_01*y + a_10_02*y^2 + a_10_03*y^3 + a_10_04*y^4 + a_10_05*y^5 + a_10_06*y^6 + a_10_07*y^7 + a_10_08*y^8 + a_10_09*y^9 + a_10_10*y^10 + a_10_11*y^11 + ...
    a_10_12*y^12 + a_10_13*y^13 + a_10_14*y^14 + a_10_15*y^15 + a_10_16*y^16 + a_10_17*y^17 + a_10_18*y^18 + a_10_19*y^19 + a_10_20*y^20 + a_10_21*y^21 + a_10_22*y^22 + ...
    a_10_23*y^23 + a_10_24*y^24 + a_10_25*y^25 + a_10_26*y^26 + a_10_27*y^27 + a_10_28*y^28 + a_10_29*y^29 + a_10_30*y^30 + a_10_31*y^31)*w^10;

f_11(w)=(a_11_00 + a_11_01*y + a_11_02*y^2 + a_11_03*y^3 + a_11_04*y^4 + a_11_05*y^5 + a_11_06*y^6 + a_11_07*y^7 + a_11_08*y^8 + a_11_09*y^9 + a_11_10*y^10 + a_11_11*y^11 + ...
    a_11_12*y^12 + a_11_13*y^13 + a_11_14*y^14 + a_11_15*y^15 + a_11_16*y^16 + a_11_17*y^17 + a_11_18*y^18 + a_11_19*y^19 + a_11_20*y^20 + a_11_21*y^21 + a_11_22*y^22 + ...
    a_11_23*y^23 + a_11_24*y^24 + a_11_25*y^25 + a_11_26*y^26 + a_11_27*y^27 + a_11_28*y^28 + a_11_29*y^29 + a_11_30*y^30 + a_11_31*y^31)*w^11;

f_12(w)=(a_12_00 + a_12_01*y + a_12_02*y^2 + a_12_03*y^3 + a_12_04*y^4 + a_12_05*y^5 + a_12_06*y^6 + a_12_07*y^7 + a_12_08*y^8 + a_12_09*y^9 + a_12_10*y^10 + a_12_11*y^11 + ...
    a_12_12*y^12 + a_12_13*y^13 + a_12_14*y^14 + a_12_15*y^15 + a_12_16*y^16 + a_12_17*y^17 + a_12_18*y^18 + a_12_19*y^19 + a_12_20*y^20 + a_12_21*y^21 + a_12_22*y^22 + ...
    a_12_23*y^23 + a_12_24*y^24 + a_12_25*y^25 + a_12_26*y^26 + a_12_27*y^27 + a_12_28*y^28 + a_12_29*y^29 + a_12_30*y^30 + a_12_31*y^31)*w^12;

f_13(w)=(a_13_00 + a_13_01*y + a_13_02*y^2 + a_13_03*y^3 + a_13_04*y^4 + a_13_05*y^5 + a_13_06*y^6 + a_13_07*y^7 + a_13_08*y^8 + a_13_09*y^9 + a_13_10*y^10 + a_13_11*y^11 + ...
    a_13_12*y^12 + a_13_13*y^13 + a_13_14*y^14 + a_13_15*y^15 + a_13_16*y^16 + a_13_17*y^17 + a_13_18*y^18 + a_13_19*y^19 + a_13_20*y^20 + a_13_21*y^21 + a_13_22*y^22 + ...
    a_13_23*y^23 + a_13_24*y^24 + a_13_25*y^25 + a_13_26*y^26 + a_13_27*y^27 + a_13_28*y^28 + a_13_29*y^29 + a_13_30*y^30 + a_13_31*y^31)*w^13;

f_14(w)=(a_14_00 + a_14_01*y + a_14_02*y^2 + a_14_03*y^3 + a_14_04*y^4 + a_14_05*y^5 + a_14_06*y^6 + a_14_07*y^7 + a_14_08*y^8 + a_14_09*y^9 + a_14_10*y^10 + a_14_11*y^11 + ...
    a_14_12*y^12 + a_14_13*y^13 + a_14_14*y^14 + a_14_15*y^15 + a_14_16*y^16 + a_14_17*y^17 + a_14_18*y^18 + a_14_19*y^19 + a_14_20*y^20 + a_14_21*y^21 + a_14_22*y^22 + ...
    a_14_23*y^23 + a_14_24*y^24 + a_14_25*y^25 + a_14_26*y^26 + a_14_27*y^27 + a_14_28*y^28 + a_14_29*y^29 + a_14_30*y^30 + a_14_31*y^31)*w^14;

f_15(w)=(a_15_00 + a_15_01*y + a_15_02*y^2 + a_15_03*y^3 + a_15_04*y^4 + a_15_05*y^5 + a_15_06*y^6 + a_15_07*y^7 + a_15_08*y^8 + a_15_09*y^9 + a_15_10*y^10 + a_15_11*y^11 + ...
    a_15_12*y^12 + a_15_13*y^13 + a_15_14*y^14 + a_15_15*y^15 + a_15_16*y^16 + a_15_17*y^17 + a_15_18*y^18 + a_15_19*y^19 + a_15_20*y^20 + a_15_21*y^21 + a_15_22*y^22 + ...
    a_15_23*y^23 + a_15_24*y^24 + a_15_25*y^25 + a_15_26*y^26 + a_15_27*y^27 + a_15_28*y^28 + a_15_29*y^29 + a_15_30*y^30 + a_15_31*y^31)*w^15;

f_16(w)=(a_16_00 + a_16_01*y + a_16_02*y^2 + a_16_03*y^3 + a_16_04*y^4 + a_16_05*y^5 + a_16_06*y^6 + a_16_07*y^7 + a_16_08*y^8 + a_16_09*y^9 + a_16_10*y^10 + a_16_11*y^11 + ...
    a_16_12*y^12 + a_16_13*y^13 + a_16_14*y^14 + a_16_15*y^15 + a_16_16*y^16 + a_16_17*y^17 + a_16_18*y^18 + a_16_19*y^19 + a_16_20*y^20 + a_16_21*y^21 + a_16_22*y^22 + ...
    a_16_23*y^23 + a_16_24*y^24 + a_16_25*y^25 + a_16_26*y^26 + a_16_27*y^27 + a_16_28*y^28 + a_16_29*y^29 + a_16_30*y^30 + a_16_31*y^31)*w^16;

f_17(w)=(a_17_00 + a_17_01*y + a_17_02*y^2 + a_17_03*y^3 + a_17_04*y^4 + a_17_05*y^5 + a_17_06*y^6 + a_17_07*y^7 + a_17_08*y^8 + a_17_09*y^9 + a_17_10*y^10 + a_17_11*y^11 + ...
    a_17_12*y^12 + a_17_13*y^13 + a_17_14*y^14 + a_17_15*y^15 + a_17_16*y^16 + a_17_17*y^17 + a_17_18*y^18 + a_17_19*y^19 + a_17_20*y^20 + a_17_21*y^21 + a_17_22*y^22 + ...
    a_17_23*y^23 + a_17_24*y^24 + a_17_25*y^25 + a_17_26*y^26 + a_17_27*y^27 + a_17_28*y^28 + a_17_29*y^29 + a_17_30*y^30 + a_17_31*y^31)*w^17;

f_18(w)=(a_18_00 + a_18_01*y + a_18_02*y^2 + a_18_03*y^3 + a_18_04*y^4 + a_18_05*y^5 + a_18_06*y^6 + a_18_07*y^7 + a_18_08*y^8 + a_18_09*y^9 + a_18_10*y^10 + a_18_11*y^11 + ...
    a_18_12*y^12 + a_18_13*y^13 + a_18_14*y^14 + a_18_15*y^15 + a_18_16*y^16 + a_18_17*y^17 + a_18_18*y^18 + a_18_19*y^19 + a_18_20*y^20 + a_18_21*y^21 + a_18_22*y^22 + ...
    a_18_23*y^23 + a_18_24*y^24 + a_18_25*y^25 + a_18_26*y^26 + a_18_27*y^27 + a_18_28*y^28 + a_18_29*y^29 + a_18_30*y^30 + a_18_31*y^31)*w^18;

f_19(w)=(a_19_00 + a_19_01*y + a_19_02*y^2 + a_19_03*y^3 + a_19_04*y^4 + a_19_05*y^5 + a_19_06*y^6 + a_19_07*y^7 + a_19_08*y^8 + a_19_09*y^9 + a_19_10*y^10 + a_19_11*y^11 + ...
    a_19_12*y^12 + a_19_13*y^13 + a_19_14*y^14 + a_19_15*y^15 + a_19_16*y^16 + a_19_17*y^17 + a_19_18*y^18 + a_19_19*y^19 + a_19_20*y^20 + a_19_21*y^21 + a_19_22*y^22 + ...
    a_19_23*y^23 + a_19_24*y^24 + a_19_25*y^25 + a_19_26*y^26 + a_19_27*y^27 + a_19_28*y^28 + a_19_29*y^29 + a_19_30*y^30 + a_19_31*y^31)*w^19;

f_20(w)=(a_20_00 + a_20_01*y + a_20_02*y^2 + a_20_03*y^3 + a_20_04*y^4 + a_20_05*y^5 + a_20_06*y^6 + a_20_07*y^7 + a_20_08*y^8 + a_20_09*y^9 + a_20_10*y^10 + a_20_11*y^11 + ...
    a_20_12*y^12 + a_20_13*y^13 + a_20_14*y^14 + a_20_15*y^15 + a_20_16*y^16 + a_20_17*y^17 + a_20_18*y^18 + a_20_19*y^19 + a_20_20*y^20 + a_20_21*y^21 + a_20_22*y^22 + ...
    a_20_23*y^23 + a_20_24*y^24 + a_20_25*y^25 + a_20_26*y^26 + a_20_27*y^27 + a_20_28*y^28 + a_20_29*y^29 + a_20_30*y^30 + a_20_31*y^31)*w^20;

f_21(w)=(a_21_00 + a_21_01*y + a_21_02*y^2 + a_21_03*y^3 + a_21_04*y^4 + a_21_05*y^5 + a_21_06*y^6 + a_21_07*y^7 + a_21_08*y^8 + a_21_09*y^9 + a_21_10*y^10 + a_21_11*y^11 + ...
    a_21_12*y^12 + a_21_13*y^13 + a_21_14*y^14 + a_21_15*y^15 + a_21_16*y^16 + a_21_17*y^17 + a_21_18*y^18 + a_21_19*y^19 + a_21_20*y^20 + a_21_21*y^21 + a_21_22*y^22 + ...
    a_21_23*y^23 + a_21_24*y^24 + a_21_25*y^25 + a_21_26*y^26 + a_21_27*y^27 + a_21_28*y^28 + a_21_29*y^29 + a_21_30*y^30 + a_21_31*y^31)*w^21;

f_22(w)=(a_22_00 + a_22_01*y + a_22_02*y^2 + a_22_03*y^3 + a_22_04*y^4 + a_22_05*y^5 + a_22_06*y^6 + a_22_07*y^7 + a_22_08*y^8 + a_22_09*y^9 + a_22_10*y^10 + a_22_11*y^11 + ...
    a_22_12*y^12 + a_22_13*y^13 + a_22_14*y^14 + a_22_15*y^15 + a_22_16*y^16 + a_22_17*y^17 + a_22_18*y^18 + a_22_19*y^19 + a_22_20*y^20 + a_22_21*y^21 + a_22_22*y^22 + ...
    a_22_23*y^23 + a_22_24*y^24 + a_22_25*y^25 + a_22_26*y^26 + a_22_27*y^27 + a_22_28*y^28 + a_22_29*y^29 + a_22_30*y^30 + a_22_31*y^31)*w^22;

f_23(w)=(a_23_00 + a_23_01*y + a_23_02*y^2 + a_23_03*y^3 + a_23_04*y^4 + a_23_05*y^5 + a_23_06*y^6 + a_23_07*y^7 + a_23_08*y^8 + a_23_09*y^9 + a_23_10*y^10 + a_23_11*y^11 + ...
    a_23_12*y^12 + a_23_13*y^13 + a_23_14*y^14 + a_23_15*y^15 + a_23_16*y^16 + a_23_17*y^17 + a_23_18*y^18 + a_23_19*y^19 + a_23_20*y^20 + a_23_21*y^21 + a_23_22*y^22 + ...
    a_23_23*y^23 + a_23_24*y^24 + a_23_25*y^25 + a_23_26*y^26 + a_23_27*y^27 + a_23_28*y^28 + a_23_29*y^29 + a_23_30*y^30 + a_23_31*y^31)*w^23;

f_24(w)=(a_24_00 + a_24_01*y + a_24_02*y^2 + a_24_03*y^3 + a_24_04*y^4 + a_24_05*y^5 + a_24_06*y^6 + a_24_07*y^7 + a_24_08*y^8 + a_24_09*y^9 + a_24_10*y^10 + a_24_11*y^11 + ...
    a_24_12*y^12 + a_24_13*y^13 + a_24_14*y^14 + a_24_15*y^15 + a_24_16*y^16 + a_24_17*y^17 + a_24_18*y^18 + a_24_19*y^19 + a_24_20*y^20 + a_24_21*y^21 + a_24_22*y^22 + ...
    a_24_23*y^23 + a_24_24*y^24 + a_24_25*y^25 + a_24_26*y^26 + a_24_27*y^27 + a_24_28*y^28 + a_24_29*y^29 + a_24_30*y^30 + a_24_31*y^31)*w^24;

f_25(w)=(a_25_00 + a_25_01*y + a_25_02*y^2 + a_25_03*y^3 + a_25_04*y^4 + a_25_05*y^5 + a_25_06*y^6 + a_25_07*y^7 + a_25_08*y^8 + a_25_09*y^9 + a_25_10*y^10 + a_25_11*y^11 + ...
    a_25_12*y^12 + a_25_13*y^13 + a_25_14*y^14 + a_25_15*y^15 + a_25_16*y^16 + a_25_17*y^17 + a_25_18*y^18 + a_25_19*y^19 + a_25_20*y^20 + a_25_21*y^21 + a_25_22*y^22 + ...
    a_25_23*y^23 + a_25_24*y^24 + a_25_25*y^25 + a_25_26*y^26 + a_25_27*y^27 + a_25_28*y^28 + a_25_29*y^29 + a_25_30*y^30 + a_25_31*y^31)*w^25;

f_26(w)=(a_26_00 + a_26_01*y + a_26_02*y^2 + a_26_03*y^3 + a_26_04*y^4 + a_26_05*y^5 + a_26_06*y^6 + a_26_07*y^7 + a_26_08*y^8 + a_26_09*y^9 + a_26_10*y^10 + a_26_11*y^11 + ...
    a_26_12*y^12 + a_26_13*y^13 + a_26_14*y^14 + a_26_15*y^15 + a_26_16*y^16 + a_26_17*y^17 + a_26_18*y^18 + a_26_19*y^19 + a_26_20*y^20 + a_26_21*y^21 + a_26_22*y^22 + ...
    a_26_23*y^23 + a_26_24*y^24 + a_26_25*y^25 + a_26_26*y^26 + a_26_27*y^27 + a_26_28*y^28 + a_26_29*y^29 + a_26_30*y^30 + a_26_31*y^31)*w^26;

f_27(w)=(a_27_00 + a_27_01*y + a_27_02*y^2 + a_27_03*y^3 + a_27_04*y^4 + a_27_05*y^5 + a_27_06*y^6 + a_27_07*y^7 + a_27_08*y^8 + a_27_09*y^9 + a_27_10*y^10 + a_27_11*y^11 + ...
    a_27_12*y^12 + a_27_13*y^13 + a_27_14*y^14 + a_27_15*y^15 + a_27_16*y^16 + a_27_17*y^17 + a_27_18*y^18 + a_27_19*y^19 + a_27_20*y^20 + a_27_21*y^21 + a_27_22*y^22 + ...
    a_27_23*y^23 + a_27_24*y^24 + a_27_25*y^25 + a_27_26*y^26 + a_27_27*y^27 + a_27_28*y^28 + a_27_29*y^29 + a_27_30*y^30 + a_27_31*y^31)*w^27;

f_28(w)=(a_28_00 + a_28_01*y + a_28_02*y^2 + a_28_03*y^3 + a_28_04*y^4 + a_28_05*y^5 + a_28_06*y^6 + a_28_07*y^7 + a_28_08*y^8 + a_28_09*y^9 + a_28_10*y^10 + a_28_11*y^11 + ...
    a_28_12*y^12 + a_28_13*y^13 + a_28_14*y^14 + a_28_15*y^15 + a_28_16*y^16 + a_28_17*y^17 + a_28_18*y^18 + a_28_19*y^19 + a_28_20*y^20 + a_28_21*y^21 + a_28_22*y^22 + ...
    a_28_23*y^23 + a_28_24*y^24 + a_28_25*y^25 + a_28_26*y^26 + a_28_27*y^27 + a_28_28*y^28 + a_28_29*y^29 + a_28_30*y^30 + a_28_31*y^31)*w^28;

f_29(w)=(a_29_00 + a_29_01*y + a_29_02*y^2 + a_29_03*y^3 + a_29_04*y^4 + a_29_05*y^5 + a_29_06*y^6 + a_29_07*y^7 + a_29_08*y^8 + a_29_09*y^9 + a_29_10*y^10 + a_29_11*y^11 + ...
    a_29_12*y^12 + a_29_13*y^13 + a_29_14*y^14 + a_29_15*y^15 + a_29_16*y^16 + a_29_17*y^17 + a_29_18*y^18 + a_29_19*y^19 + a_29_20*y^20 + a_29_21*y^21 + a_29_22*y^22 + ...
    a_29_23*y^23 + a_29_24*y^24 + a_29_25*y^25 + a_29_26*y^26 + a_29_27*y^27 + a_29_28*y^28 + a_29_29*y^29 + a_29_30*y^30 + a_29_31*y^31)*w^29;

f_30(w)=(a_30_00 + a_30_01*y + a_30_02*y^2 + a_30_03*y^3 + a_30_04*y^4 + a_30_05*y^5 + a_30_06*y^6 + a_30_07*y^7 + a_30_08*y^8 + a_30_09*y^9 + a_30_10*y^10 + a_30_11*y^11 + ...
    a_30_12*y^12 + a_30_13*y^13 + a_30_14*y^14 + a_30_15*y^15 + a_30_16*y^16 + a_30_17*y^17 + a_30_18*y^18 + a_30_19*y^19 + a_30_20*y^20 + a_30_21*y^21 + a_30_22*y^22 + ...
    a_30_23*y^23 + a_30_24*y^24 + a_30_25*y^25 + a_30_26*y^26 + a_30_27*y^27 + a_30_28*y^28 + a_30_29*y^29 + a_30_30*y^30 + a_30_31*y^31)*w^30;

f_31(w)=(a_31_00 + a_31_01*y + a_31_02*y^2 + a_31_03*y^3 + a_31_04*y^4 + a_31_05*y^5 + a_31_06*y^6 + a_31_07*y^7 + a_31_08*y^8 + a_31_09*y^9 + a_31_10*y^10 + a_31_11*y^11 + ...
    a_31_12*y^12 + a_31_13*y^13 + a_31_14*y^14 + a_31_15*y^15 + a_31_16*y^16 + a_31_17*y^17 + a_31_18*y^18 + a_31_19*y^19 + a_31_20*y^20 + a_31_21*y^21 + a_31_22*y^22 + ...
    a_31_23*y^23 + a_31_24*y^24 + a_31_25*y^25 + a_31_26*y^26 + a_31_27*y^27 + a_31_28*y^28 + a_31_29*y^29 + a_31_30*y^30 + a_31_31*y^31)*w^31;

% f(w) = (a00 + a01*y + a02*y^2 + a03*y^3 + a04*y^4 + a05*y^5 + a06*y^6 + a07*y^7 + a08*y^8 + a09*y^9 + a10*y^10 + a11*y^11 + ...
%     a12*y^12 + a13*y^13 + a14*y^14 + a15*y^15 + a16*y^16 + a17*y^17 + a18*y^18 + a19*y^19 + a20*y^20 + a21*y^21 + a22*y^22 + ...
%     a23*y^23 + a24*y^24 + a25*y^25 + a26*y^26 + a27*y^27 + a28*y^28 + a29*y^29 + a30*y^30 + a31*y^31) + ...
%     (b00 + b01*y + b02*y^2 + b03*y^3 + b04*y^4 + b05*y^5 + b06*y^6 + b07*y^7 + b08*y^8 + b09*y^9 + b10*y^10 + b11*y^11 + ...
%     b12*y^12 + b13*y^13 + b14*y^14 + b15*y^15 + b16*y^16 + b17*y^17 + b18*y^18 + b19*y^19 + b20*y^20 + b21*y^21 + b22*y^22 + ...
%     b23*y^23 + b24*y^24 + b25*y^25 + b26*y^26 + b27*y^27 + b28*y^28 + b29*y^29 + b30*y^30 + b31*y^31)*w + ...
%     (c00 + c01*y + c02*y^2 + c03*y^3 + c04*y^4 + c05*y^5 + c06*y^6 + c07*y^7 + c08*y^8 + c09*y^9 + c10*y^10 + c11*y^11 + ...
%     c12*y^12 + c13*y^13 + c14*y^14 + c15*y^15 + c16*y^16 + c17*y^17 + c18*y^18 + c19*y^19 + c20*y^20 + c21*y^21 + c22*y^22 + ...
%     c23*y^23 + c24*y^24 + c25*y^25 + c26*y^26 + c27*y^27 + c28*y^28 + c29*y^29 + c30*y^30 + c31*y^31)*w^2 
% 
% f_00(w) = (a00 + a01*y + a02*y^2 + a03*y^3 + a04*y^4 + a05*y^5 + a06*y^6 + a07*y^7 + a08*y^8 + a09*y^9 + a10*y^10 + a11*y^11 + ...
%     a12*y^12 + a13*y^13 + a14*y^14 + a15*y^15 + a16*y^16 + a17*y^17 + a18*y^18 + a19*y^19 + a20*y^20 + a21*y^21 + a22*y^22 + ...
%     a23*y^23 + a24*y^24 + a25*y^25 + a26*y^26 + a27*y^27 + a28*y^28 + a29*y^29 + a30*y^30 + a31*y^31)
% 
% f_01(w) = (b00 + b01*y + b02*y^2 + b03*y^3 + b04*y^4 + b05*y^5 + b06*y^6 + b07*y^7 + b08*y^8 + b09*y^9 + b10*y^10 + b11*y^11 + ...
%     b12*y^12 + b13*y^13 + b14*y^14 + b15*y^15 + b16*y^16 + b17*y^17 + b18*y^18 + b19*y^19 + b20*y^20 + b21*y^21 + b22*y^22 + ...
%     b23*y^23 + b24*y^24 + b25*y^25 + b26*y^26 + b27*y^27 + b28*y^28 + b29*y^29 + b30*y^30 + b31*y^31)*w
% 
% f_02(w) = (c00 + c01*y + c02*y^2 + c03*y^3 + c04*y^4 + c05*y^5 + c06*y^6 + c07*y^7 + c08*y^8 + c09*y^9 + c10*y^10 + c11*y^11 + ...
%     c12*y^12 + c13*y^13 + c14*y^14 + c15*y^15 + c16*y^16 + c17*y^17 + c18*y^18 + c19*y^19 + c20*y^20 + c21*y^21 + c22*y^22 + ...
%     c23*y^23 + c24*y^24 + c25*y^25 + c26*y^26 + c27*y^27 + c28*y^28 + c29*y^29 + c30*y^30 + c31*y^31)*w^2 

z=y^2

%expanded = collect(expand(polynomialReduce(expand(f_02(y^2)),y^32+1)),y)

%%

h(w) = [f_00(w); f_01(w); f_02(w); f_03(w); f_04(w); f_05(w); f_06(w); f_07(w); f_08(w); f_09(w); f_10(w); f_11(w); f_12(w); f_13(w); f_14(w); f_15(w); f_16(w); f_17(w); f_18(w); f_19(w); f_20(w); f_21(w); f_22(w); f_23(w); f_24(w); f_25(w); f_26(w); f_27(w); f_28(w); f_29(w); f_30(w); f_31(w)]

for i=1:32

    h1 = h(z^(i-1)); %Test f(z^i)

    for j=1:32
        h2 = h1(j);

        expanded = collect(expand(polynomialReduce(expand(h2),y^32+1)),y);
        coefficients = coeffs(expanded,y);

        if(i==1)
            matrixValues00(j,:)=coefficients
        elseif(i==2)
            matrixValues01(j,:)=coefficients
        elseif(i==3)
            matrixValues02(j,:)=coefficients
        elseif(i==4)
            matrixValues03(j,:)=coefficients
        elseif(i==5)
            matrixValues04(j,:)=coefficients
        elseif(i==6)
            matrixValues05(j,:)=coefficients
        elseif(i==7)
            matrixValues06(j,:)=coefficients
        elseif(i==8)
            matrixValues07(j,:)=coefficients
        elseif(i==9)
            matrixValues08(j,:)=coefficients
        elseif(i==10)
            matrixValues09(j,:)=coefficients
        elseif(i==11)
            matrixValues10(j,:)=coefficients
        elseif(i==12)
            matrixValues11(j,:)=coefficients
        elseif(i==13)
            matrixValues12(j,:)=coefficients
        elseif(i==14)    
            matrixValues13(j,:)=coefficients
        elseif(i==15)
            matrixValues14(j,:)=coefficients
        elseif(i==16)
            matrixValues15(j,:)=coefficients
        elseif(i==17)
            matrixValues16(j,:)=coefficients
        elseif(i==18)
            matrixValues17(j,:)=coefficients
        elseif(i==19)
            matrixValues18(j,:)=coefficients
        elseif(i==20)
            matrixValues19(j,:)=coefficients
        elseif(i==21)
            matrixValues20(j,:)=coefficients
        elseif(i==22)
            matrixValues21(j,:)=coefficients
        elseif(i==23)
            matrixValues22(j,:)=coefficients
        elseif(i==24)    
            matrixValues23(j,:)=coefficients
        elseif(i==25)
            matrixValues24(j,:)=coefficients
        elseif(i==26)
            matrixValues25(j,:)=coefficients
        elseif(i==27)
            matrixValues26(j,:)=coefficients
        elseif(i==28)
            matrixValues27(j,:)=coefficients
        elseif(i==29)
            matrixValues28(j,:)=coefficients
        elseif(i==30)
            matrixValues29(j,:)=coefficients
        elseif(i==31)
            matrixValues30(j,:)=coefficients
        elseif(i==32)
            matrixValues31(j,:)=coefficients
        end
    end

end


%% f(w^0)

%i=0

%expanded = collect(expand(polynomialReduce(expand(f_00(z^i)),y^32+1)),y)
%coefficients = coeffs(expanded,y)
%matrixValues_00(1,:) = coefficients

%expanded = collect(expand(polynomialReduce(expand(f_01(z^i)),y^32+1)),y)
%coefficients = coeffs(expanded,y)
%matrixValues_00(2,:) = coefficients

%expanded = collect(expand(polynomialReduce(expand(f_02(z^i)),y^32+1)),y)
%coefficients = coeffs(expanded,y)
%matrixValues_00(3,:) = coefficients





%expanded = collect(expand(polynomialReduce(expand(f_02(z)),y^32+1)),y)
%coefficients = coeffs(expanded,y)