@@ -237,69 +237,51 @@ function Rodas4Tableau(T, T2)
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# BET2P=0.0317D0
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# BET3P=0.0635D0
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# BET4P=0.3438D0
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- # Coefficients for the "a" matrix
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A = T[
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- 0 0 0 0 0 0
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- 1.544000000000000 0 0 0 0 0
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- 0.9466785280815826 0.2557011698983284 0 0 0 0
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- 3.314825187068521 2.896124015972201 0.9986419139977817 0 0 0
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- 1.221224509226641 6.019134481288629 12.53708332932087 - 0.6878860361058950 0 0
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- 1.221224509226641 6.019134481288629 12.53708332932087 - 0.6878860361058950 1 0
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+ 0 0 0 0 0 0
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+ 1.544 0 0 0 0 0
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+ 0.9466785280815826 0.2557011698983284 0 0 0 0
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+ 3.314825187068521 2.896124015972201 0.9986419139977817 0 0 0
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+ 1.221224509226641 6.019134481288629 12.53708332932087 - 0.6878860361058950 0 0
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+ 1.221224509226641 6.019134481288629 12.53708332932087 - 0.6878860361058950 1 0
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]
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-
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- # Coefficients for the "C" matrix
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C = T[
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- 0 0 0 0 0
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- - 5.668800000000000 0 0 0 0
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- - 2.430093356833875 - 0.2063599157091915 0 0 0
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- - 0.1073529058151375 - 9.594562251023355 - 20.47028614809616 0 0
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- 7.496443313967647 - 10.24680431464352 - 33.99990352819905 11.70890893206160 0
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- 8.083246795921522 - 7.981132988064893 - 31.52159432874371 16.31930543123136 - 6.058818238834054
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+ 0 0 0 0 0
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+ - 5.6688 0 0 0 0
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+ - 2.430093356833875 - 0.2063599157091915 0 0 0
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+ - 0.1073529058151375 - 9.594562251023355 - 20.47028614809616 0 0
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+ 7.496443313967647 - 10.24680431464352 - 33.99990352819905 11.70890893206160 0
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+ 8.083246795921522 - 7.981132988064893 - 31.52159432874371 16.31930543123136 - 6.058818238834054
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]
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-
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- # Coefficients for the "c" vector
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c = T2[0 , 0.386 , 0.21 , 0.63 , 1 , 1 , 1 ]
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-
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- # Coefficients for the "d" vector
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- d = T[0.2500000000000000 , - 0.1043000000000000 , 0.1035000000000000 , - 0.03620000000000023 , 0 , 0 , 0 ]
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-
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- # Coefficients for the "h" (kept as is)
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+ d = T[0.25 , - 0.1043 , 0.1035 , - 0.0362 , 0 , 0 , 0 ]
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H = T[10.12623508344586 - 7.487995877610167 - 34.80091861555747 - 7.992771707568823 1.025137723295662 0
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- 0.6762803392801253 6.087714651680015 16.43084320892478 24.76722511418386 - 6.594389125716872 0 ]
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-
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RodasTableau (A, C, gamma, c, d, H)
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end
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function Rodas42Tableau (T, T2)
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gamma = convert (T, 1 // 4 )
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-
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- # Create matrices for A and C coefficients
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A = T[
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- 0.0 0.0 0.0 0.0 0 0
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- 1.4028884 0.0 0.0 0.0 0 0
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- 0.6581213 - 1.320936088384301 0.0 0.0 0 0
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- 7.131197445744498 16.02964143958207 - 5.561572550509766 0.0 0 0
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- 22.73885722420363 67.38147284535289 - 31.21877493038560 0.7285641833203814 0 0
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- 22.73885722420363 67.38147284535289 - 31.21877493038560 0.7285641833203814 1 0
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+ 0.0 0 0 0 0 0
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+ 1.4028884 0 0 0 0 0
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+ 0.6581213 - 1.320936088384301 0 0 0 0
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+ 7.131197445744498 16.02964143958207 - 5.561572550509766 0 0 0
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+ 22.73885722420363 67.38147284535289 - 31.21877493038560 0.7285641833203814 0 0
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+ 22.73885722420363 67.38147284535289 - 31.21877493038560 0.7285641833203814 1 0
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]
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-
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C = T[
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- 0.0 0.0 0.0 0.0 0. 0
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- - 5.1043536 0.0 0.0 0.0 0. 0
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- - 2.899967805418783 4.040399359702244 0.0 0.0 0. 0
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- - 32.64449927841361 - 99.35311008728094 49.99119122405989 0.0 0. 0
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- - 76.46023087151691 - 278.5942120829058 153.9294840910643 10.97101866258358 0. 0
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- - 76.29701586804983 - 294.2795630511232 162.0029695867566 23.65166903095270 - 7.652977706771382
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+ 0 0 0 0 0
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+ - 5.1043536 0 0 0 0
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+ - 2.899967805418783 4.040399359702244 0 0 0
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+ - 32.64449927841361 - 99.35311008728094 49.99119122405989 0 0
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+ - 76.46023087151691 - 278.5942120829058 153.9294840910643 10.97101866258358 0
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+ - 76.29701586804983 - 294.2795630511232 162.0029695867566 23.65166903095270 - 7.652977706771382
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]
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-
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- # Create vectors for c and d coefficients
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- c = T2[0 , 0.3507221 , 0.2557041 , 0.6817790 , 1 , 1 , 1 ]
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- d = T[0.2500000000000000 , - 0.06902209999999998 , - 0.0009671999999999459 , - 0.08797900000000025 , 0 , 0 , 0 ]
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-
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- # Coefficients for the "H" matrix
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+ c = T2[0 , 0.3507221 , 0.2557041 , 0.681779 , 1 , 1 , 1 ]
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+ d = T[0.25 , - 0.0690221 , - 0.0009672 , - 0.087979 , 0 , 0 , 0 ]
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H = T[- 38.71940424117216 - 135.8025833007622 64.51068857505875 - 4.192663174613162 - 2.531932050335060 0
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- 14.99268484949843 - 76.30242396627033 58.65928432851416 16.61359034616402 - 0.6758691794084156 0 ]
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-
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RodasTableau (A, C, gamma, c, d, H)
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end
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@@ -308,73 +290,51 @@ function Rodas4PTableau(T, T2)
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# BET2P=0.D0
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# BET3P=c3*c3*(c3/6.d0-GAMMA/2.d0)/(GAMMA*GAMMA)
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# BET4P=0.3438D0
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-
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- # Coefficients for the "A" matrix
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A = T[
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- 0.0 0 0.0 0.0 0 0
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- 3.0 0 0.0 0.0 0 0
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- 1.831036793486759 0.4955183967433795 0.0 0.0 0 0
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- 2.304376582692669 - 0.05249275245743001 - 1.176798761832782 0.0 0 0
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- - 7.170454962423024 - 4.741636671481785 - 16.31002631330971 - 1.062004044111401 0 0
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- - 7.170454962423024 - 4.741636671481785 - 16.31002631330971 - 1.062004044111401 1 0
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+ 0 0 0 0 0 0
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+ 3 0 0 0 0 0
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+ 1.831036793486759 0.4955183967433795 0 0 0 0
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+ 2.304376582692669 - 0.05249275245743001 - 1.176798761832782 0 0 0
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+ - 7.170454962423024 - 4.741636671481785 - 16.31002631330971 - 1.062004044111401 0 0
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+ - 7.170454962423024 - 4.741636671481785 - 16.31002631330971 - 1.062004044111401 1 0
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]
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-
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- # Coefficients for the "C" matrix
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C = T[
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- 0.0 0.0 0.0 0.0 0.0 ;
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- - 12.0 0.0 0.0 0.0 0.0 ;
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- - 8.791795173947035 - 2.207865586973518 0.0 0.0 0.0 ;
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- 10.81793056857153 6.780270611428266 19.53485944642410 0.0 0.0 ;
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- 34.19095006749676 15.49671153725963 54.74760875964130 14.16005392148534 0.0 ;
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- 34.62605830930532 15.30084976114473 56.99955578662667 18.40807009793095 - 5.714285714285717
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+ 0 0 0 0 0
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+ - 12 0 0 0 0
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+ - 8.791795173947035 - 2.207865586973518 0 0 0
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+ 10.81793056857153 6.780270611428266 19.53485944642410 0 0
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+ 34.19095006749676 15.49671153725963 54.74760875964130 14.16005392148534 0
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+ 34.62605830930532 15.30084976114473 56.99955578662667 18.40807009793095 - 5.714285714285717
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]
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-
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- # Coefficients for the "c" vector
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- c = T2[0 , 3 * gamma, 0.21 , 0.63 , 1 , 1 , 1 ]
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-
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- # Coefficients for the "d" vector
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- d = T[0.2500000000000000 , - 0.5000000000000000 , - 0.0235040000000000 , - 0.0362000000000000 , 0 , 0 , 0 ]
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-
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- # Coefficients for the "H" matrix
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+ c = T2[0 , 0.75 , 0.21 , 0.63 , 1 , 1 , 1 ]
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+ d = T[0.25 , - 0.5 , - 0.023504 , - 0.0362 , 0 , 0 , 0 ]
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H = T[25.09876703708589 11.62013104361867 28.49148307714626 - 5.664021568594133 0 0
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1.638054557396973 - 0.7373619806678748 8.477918219238990 15.99253148779520 - 1.882352941176471 0 ]
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-
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RodasTableau (A, C, gamma, c, d, H)
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end
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function Rodas4P2Tableau (T, T2)
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gamma = convert (T, 1 // 4 )
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-
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- # Coefficients for the "A" matrix
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A = T[
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- 0.0 0.0 0.0 0 0 0
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- 3.0 0.0 0.0 0 0 0
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- 0.906377755268814 - 0.189707390391685 0.0 0 0 0
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- 3.758617027739064 1.161741776019525 - 0.849258085312803 0 0 0
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- 7.089566927282776 4.573591406461604 - 8.423496976860259 - 0.959280113459775 0 0
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- 7.089566927282776 4.573591406461604 - 8.423496976860259 - 0.959280113459775 1 0
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+ 0 0 0 0 0 0
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+ 3 0 0 0 0 0
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+ 0.906377755268814 - 0.189707390391685 0 0 0 0
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+ 3.758617027739064 1.161741776019525 - 0.849258085312803 0 0 0
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+ 7.089566927282776 4.573591406461604 - 8.423496976860259 - 0.959280113459775 0 0
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+ 7.089566927282776 4.573591406461604 - 8.423496976860259 - 0.959280113459775 1 0
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]
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-
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- # Coefficients for the "C" matrix
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C = T[
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- 0.0 0.0 0.0 0.0 0.0 ;
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- - 12.0 0.0 0.0 0.0 0.0 ;
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- - 6.354581592719008 0.338972550544623 0.0 0.0 0.0 ;
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- - 8.575016317114033 - 7.606483992117508 12.224997650124820 0.0 0.0 ;
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- - 5.888975457523102 - 8.157396617841821 24.805546872612922 12.790401512796979 0.0 ;
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- - 4.408651676063871 - 6.692003137674639 24.625568527593117 16.627521966636085 - 5.714285714285718
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+ 0 0 0 0 0
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+ - 12 0 0 0 0
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+ - 6.354581592719008 0.338972550544623 0 0 0
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+ - 8.575016317114033 - 7.606483992117508 12.224997650124820 0 0
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+ - 5.888975457523102 - 8.157396617841821 24.805546872612922 12.790401512796979 0
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+ - 4.408651676063871 - 6.692003137674639 24.625568527593117 16.627521966636085 - 5.714285714285718
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]
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-
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- # Coefficients for the "c" vector
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- c = T2[0 , 0.750000000000000 , 0.321448134013046 , 0.519745732277726 , 1 , 1 , 1 ]
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-
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- # Coefficients for the "d" vector
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- d = T[0.250000000000000 , - 0.500000000000000 , - 0.189532918363016 , 0.085612108792769 , 0 , 0 , 0 ]
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-
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- # Coefficients for the "H" matrix
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+ c = T2[0 , 0.75 , 0.321448134013046 , 0.519745732277726 , 1 , 1 , 1 ]
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+ d = T[0.25 , - 0.5 , - 0.189532918363016 , 0.085612108792769 , 0 , 0 , 0 ]
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H = [- 5.323528268423303 - 10.042123754867493 17.175254928256965 - 5.079931171878093 - 0.016185991706112 0
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6.984505741529879 6.914061169603662 - 0.849178943070653 18.104410789349338 - 3.516963011559032 0 ]
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-
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RodasTableau (A, C, gamma, c, d, H)
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end
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