// These are the locations of the quadrature points and the 
  // reconstruction coefs for 3nd and 4th order SV schemes. Please 
  // let me know if you have any questions (www.zjwang.com)
  
  // See Figure 1b and 1c of J. Comp. Physics, vol. 215, pp. 41-58 (2006)
  // for the partitions
  
  
  // third order SV scheme (improved)
  // local coordinates of the quadrature points in the standard element  
  xx[0]= 0.05283121635129678;   yy[0]= 0;
  xx[1]= 0.1971687836487032;    yy[1]= 0;
  xx[2]= 0.3556624327025936;    yy[2]= 0;
  xx[3]= 0.6443375672974064;    yy[3]= 0;
  xx[4]= 0.8028312163512968;    yy[4]= 0;
  xx[5]= 0.9471687836487032;    yy[5]= 0;
  xx[6]= 0.9471687836487032;    yy[6]= 0.05283121635129678;
  xx[7]= 0.8028312163512968;    yy[7]= 0.1971687836487032;
  xx[8]= 0.6443375672974064;    yy[8]= 0.3556624327025936;
  xx[9]= 0.3556624327025936;    yy[9]= 0.6443375672974064;
  xx[10]= 0.1971687836487032;   yy[10]= 0.8028312163512968;
  xx[11]= 0.05283121635129678;  yy[11]= 0.9471687836487032;
  xx[12]= 0;    yy[12]= 0.9471687836487032;
  xx[13]= 0;    yy[13]= 0.8028312163512968;
  xx[14]= 0;    yy[14]= 0.6443375672974064;
  xx[15]= 0;    yy[15]= 0.3556624327025936;
  xx[16]= 0;    yy[16]= 0.1971687836487032;
  xx[17]= 0;    yy[17]= 0.05283121635129678;
  xx[18]= 0.2323895945495677;    yy[18]= 0.03522081090086452;
  xx[19]= 0.1842770721170989;    yy[19]= 0.1314458557658021;
  xx[20]= 0.7323895945495677;    yy[20]= 0.03522081090086452;
  xx[21]= 0.6842770721170989;    yy[21]= 0.1314458557658021;
  xx[22]= 0.7323895945495677;    yy[22]= 0.2323895945495677;
  xx[23]= 0.6842770721170989;    yy[23]= 0.1842770721170989;
  xx[24]= 0.2323895945495677;    yy[24]= 0.7323895945495677;
  xx[25]= 0.1842770721170989;    yy[25]= 0.6842770721170989;
  xx[26]= 0.03522081090086452;    yy[26]= 0.7323895945495677;
  xx[27]= 0.1314458557658021;    yy[27]= 0.6842770721170989;
  xx[28]= 0.03522081090086452;    yy[28]= 0.2323895945495677;
  xx[29]= 0.1314458557658021;    yy[29]= 0.1842770721170989;
  xx[30]= 0.2018874775675312;    yy[30]= 0.2018874775675312;
  xx[31]= 0.2981125224324688;    yy[31]= 0.2981125224324688;
  xx[32]= 0.5962250448649376;    yy[32]= 0.2018874775675312;
  xx[33]= 0.4037749551350624;    yy[33]= 0.2981125224324688;
  xx[34]= 0.2018874775675312;    yy[34]= 0.5962250448649376;
  xx[35]= 0.2981125224324688;    yy[35]= 0.4037749551350624;

  // the reconstruction coefficients for the 36 quadrature points 
  coefs[0][0]=1.702377414448907;
  coefs[0][1]=0.03526272589451804;
  coefs[0][2]=0.1735653577754183;
  coefs[0][3]=-0.2873106306520688;
  coefs[0][4]=0.1569285724225346;
  coefs[0][5]=-0.7808234398893090;
  coefs[1][0]=0.9627956002386711;
  coefs[1][1]=-0.1662062160613092;
  coefs[1][2]=0.2152820407807181;
  coefs[1][3]=0.8041142154168186;
  coefs[1][4]=-0.09046105935307983;
  coefs[1][5]=-0.7255245810218187;
  coefs[2][0]=0.3592979098638236;
  coefs[2][1]=-0.1788149623905849;
  coefs[2][2]=0.2425939756036843;
  coefs[2][3]=1.518670649738611;
  coefs[2][4]=-0.3195295410862146;
  coefs[2][5]=-0.6222180317293194;
  coefs[3][0]=-0.1788149623905849;
  coefs[3][1]=0.3592979098638236;
  coefs[3][2]=0.2425939756036843;
  coefs[3][3]=1.518670649738611;
  coefs[3][4]=-0.6222180317293194;
  coefs[3][5]=-0.3195295410862146;
  coefs[4][0]=-0.1662062160613092;
  coefs[4][1]=0.9627956002386711;
  coefs[4][2]=0.2152820407807181;
  coefs[4][3]=0.8041142154168186;
  coefs[4][4]=-0.7255245810218187;
  coefs[4][5]=-0.09046105935307983;
  coefs[5][0]=0.03526272589451804;
  coefs[5][1]=1.702377414448907;
  coefs[5][2]=0.1735653577754183;
  coefs[5][3]=-0.2873106306520688;
  coefs[5][4]=-0.7808234398893090;
  coefs[5][5]=0.1569285724225346;
  coefs[6][0]=0.1735653577754184;
  coefs[6][1]=1.702377414448907;
  coefs[6][2]=0.03526272589451805;
  coefs[6][3]=-0.7808234398893090;
  coefs[6][4]=-0.2873106306520688;
  coefs[6][5]=0.1569285724225346;
  coefs[7][0]=0.2152820407807181;
  coefs[7][1]=0.9627956002386711;
  coefs[7][2]=-0.1662062160613091;
  coefs[7][3]=-0.7255245810218187;
  coefs[7][4]=0.8041142154168186;
  coefs[7][5]=-0.09046105935307983;
  coefs[8][0]=0.2425939756036843;
  coefs[8][1]=0.3592979098638236;
  coefs[8][2]=-0.1788149623905848;
  coefs[8][3]=-0.6222180317293194;
  coefs[8][4]=1.518670649738611;
  coefs[8][5]=-0.3195295410862146;
  coefs[9][0]=0.2425939756036843;
  coefs[9][1]=-0.1788149623905849;
  coefs[9][2]=0.3592979098638237;
  coefs[9][3]=-0.3195295410862146;
  coefs[9][4]=1.518670649738611;
  coefs[9][5]=-0.6222180317293194;
  coefs[10][0]=0.2152820407807181;
  coefs[10][1]=-0.1662062160613092;
  coefs[10][2]=0.962795600238671;
  coefs[10][3]=-0.09046105935307983;
  coefs[10][4]=0.8041142154168186;
  coefs[10][5]=-0.7255245810218187;
  coefs[11][0]=0.1735653577754184;
  coefs[11][1]=0.03526272589451804;
  coefs[11][2]=1.702377414448907;
  coefs[11][3]=0.1569285724225346;
  coefs[11][4]=-0.2873106306520688;
  coefs[11][5]=-0.7808234398893090;
  coefs[12][0]=0.03526272589451804;
  coefs[12][1]=0.1735653577754184;
  coefs[12][2]=1.702377414448907;
  coefs[12][3]=0.1569285724225346;
  coefs[12][4]=-0.7808234398893090;
  coefs[12][5]=-0.2873106306520688;
  coefs[13][0]=-0.1662062160613092;
  coefs[13][1]=0.2152820407807181;
  coefs[13][2]=0.962795600238671;
  coefs[13][3]=-0.09046105935307983;
  coefs[13][4]=-0.7255245810218187;
  coefs[13][5]=0.8041142154168186;
  coefs[14][0]=-0.1788149623905849;
  coefs[14][1]=0.2425939756036843;
  coefs[14][2]=0.3592979098638237;
  coefs[14][3]=-0.3195295410862146;
  coefs[14][4]=-0.6222180317293194;
  coefs[14][5]=1.518670649738611;
  coefs[15][0]=0.3592979098638236;
  coefs[15][1]=0.2425939756036843;
  coefs[15][2]=-0.1788149623905848;
  coefs[15][3]=-0.6222180317293194;
  coefs[15][4]=-0.3195295410862146;
  coefs[15][5]=1.518670649738611;
  coefs[16][0]=0.9627956002386711;
  coefs[16][1]=0.2152820407807181;
  coefs[16][2]=-0.1662062160613091;
  coefs[16][3]=-0.7255245810218187;
  coefs[16][4]=-0.09046105935307983;
  coefs[16][5]=0.8041142154168186;
  coefs[17][0]=1.702377414448907;
  coefs[17][1]=0.1735653577754184;
  coefs[17][2]=0.03526272589451805;
  coefs[17][3]=-0.7808234398893090;
  coefs[17][4]=0.1569285724225346;
  coefs[17][5]=-0.2873106306520688;
  coefs[18][0]=0.6707691196285018;
  coefs[18][1]=-0.1779392232139637;
  coefs[18][2]=0.1378283465481532;
  coefs[18][3]=0.9309392444091551;
  coefs[18][4]=-0.1152504372094292;
  coefs[18][5]=-0.4463470501624172;
  coefs[19][0]=0.5001295609789167;
  coefs[19][1]=-0.1209156436020682;
  coefs[19][2]=-0.04833369880107822;
  coefs[19][3]=0.5160361103331899;
  coefs[19][4]=-0.02179213187197484;
  coefs[19][5]=0.1748758029630147;
  coefs[20][0]=-0.1779392232139637;
  coefs[20][1]=0.6707691196285018;
  coefs[20][2]=0.1378283465481532;
  coefs[20][3]=0.9309392444091551;
  coefs[20][4]=-0.4463470501624172;
  coefs[20][5]=-0.1152504372094292;
  coefs[21][0]=-0.1209156436020682;
  coefs[21][1]=0.5001295609789167;
  coefs[21][2]=-0.04833369880107822;
  coefs[21][3]=0.5160361103331899;
  coefs[21][4]=0.1748758029630147;
  coefs[21][5]=-0.02179213187197484;
  coefs[22][0]=0.1378283465481532;
  coefs[22][1]=0.6707691196285018;
  coefs[22][2]=-0.1779392232139636;
  coefs[22][3]=-0.4463470501624172;
  coefs[22][4]=0.9309392444091551;
  coefs[22][5]=-0.1152504372094292;
  coefs[23][0]=-0.04833369880107826;
  coefs[23][1]=0.5001295609789167;
  coefs[23][2]=-0.1209156436020681;
  coefs[23][3]=0.1748758029630147;
  coefs[23][4]=0.5160361103331899;
  coefs[23][5]=-0.02179213187197484;
  coefs[24][0]=0.1378283465481532;
  coefs[24][1]=-0.1779392232139637;
  coefs[24][2]=0.6707691196285019;
  coefs[24][3]=-0.1152504372094292;
  coefs[24][4]=0.9309392444091551;
  coefs[24][5]=-0.4463470501624172;
  coefs[25][0]=-0.04833369880107826;
  coefs[25][1]=-0.1209156436020682;
  coefs[25][2]=0.5001295609789166;
  coefs[25][3]=-0.02179213187197484;
  coefs[25][4]=0.5160361103331899;
  coefs[25][5]=0.1748758029630147;
  coefs[26][0]=-0.1779392232139637;
  coefs[26][1]=0.1378283465481532;
  coefs[26][2]=0.6707691196285019;
  coefs[26][3]=-0.1152504372094292;
  coefs[26][4]=-0.4463470501624172;
  coefs[26][5]=0.9309392444091551;
  coefs[27][0]=-0.1209156436020682;
  coefs[27][1]=-0.04833369880107826;
  coefs[27][2]=0.5001295609789166;
  coefs[27][3]=-0.02179213187197484;
  coefs[27][4]=0.1748758029630147;
  coefs[27][5]=0.5160361103331899;
  coefs[28][0]=0.6707691196285018;
  coefs[28][1]=0.1378283465481532;
  coefs[28][2]=-0.1779392232139636;
  coefs[28][3]=-0.4463470501624172;
  coefs[28][4]=-0.1152504372094292;
  coefs[28][5]=0.9309392444091551;
  coefs[29][0]=0.5001295609789167;
  coefs[29][1]=-0.04833369880107826;
  coefs[29][2]=-0.1209156436020681;
  coefs[29][3]=0.1748758029630147;
  coefs[29][4]=-0.02179213187197484;
  coefs[29][5]=0.5160361103331899;
  coefs[30][0]=0.2350122090081957;
  coefs[30][1]=-0.1233493271443549;
  coefs[30][2]=-0.1233493271443548;
  coefs[30][3]=0.4904995196637045;
  coefs[30][4]=0.03068740595310525;
  coefs[30][5]=0.4904995196637045;
  coefs[31][0]=-0.1051889578257212;
  coefs[31][1]=-0.1531007599853439;
  coefs[31][2]=-0.1531007599853438;
  coefs[31][3]=0.5487088447873784;
  coefs[31][4]=0.3139727882216520;
  coefs[31][5]=0.5487088447873784;
  coefs[32][0]=-0.1233493271443549;
  coefs[32][1]=0.2350122090081957;
  coefs[32][2]=-0.1233493271443548;
  coefs[32][3]=0.4904995196637045;
  coefs[32][4]=0.4904995196637045;
  coefs[32][5]=0.03068740595310525;
  coefs[33][0]=-0.1531007599853439;
  coefs[33][1]=-0.1051889578257212;
  coefs[33][2]=-0.1531007599853438;
  coefs[33][3]=0.5487088447873784;
  coefs[33][4]=0.5487088447873784;
  coefs[33][5]=0.3139727882216520;
  coefs[34][0]=-0.1233493271443549;
  coefs[34][1]=-0.1233493271443549;
  coefs[34][2]=0.2350122090081959;
  coefs[34][3]=0.03068740595310525;
  coefs[34][4]=0.4904995196637045;
  coefs[34][5]=0.4904995196637045;
  coefs[35][0]=-0.1531007599853439;
  coefs[35][1]=-0.1531007599853439;
  coefs[35][2]=-0.1051889578257211;
  coefs[35][3]=0.3139727882216520;
  coefs[35][4]=0.5487088447873784;
  coefs[35][5]=0.5487088447873784;  

  // 4th order SV scheme
  // local coordinates
  xx[0]= 0.01408832436034581;    yy[0]= 0;
  xx[1]= 0.05257834230632086;    yy[1]= 0;
  xx[2]= 0.1582407750089144;    yy[2]= 0;
  xx[3]= 0.4084258916577522;    yy[3]= 0;
  xx[4]= 0.5915741083422478;    yy[4]= 0;
  xx[5]= 0.8417592249910856;    yy[5]= 0;
  xx[6]= 0.9474216576936791;    yy[6]= 0;
  xx[7]= 0.9859116756396542;    yy[7]= 0;
  xx[8]= 0.9859116756396542;    yy[8]= 0.01408832436034581;
  xx[9]= 0.9474216576936791;    yy[9]= 0.05257834230632086;
  xx[10]= 0.8417592249910856;    yy[10]= 0.1582407750089144;
  xx[11]= 0.5915741083422478;    yy[11]= 0.4084258916577522;
  xx[12]= 0.4084258916577522;    yy[12]= 0.5915741083422478;
  xx[13]= 0.1582407750089144;    yy[13]= 0.8417592249910856;
  xx[14]= 0.05257834230632086;    yy[14]= 0.9474216576936791;
  xx[15]= 0.01408832436034581;    yy[15]= 0.9859116756396542;
  xx[16]= 0;    yy[16]= 0.9859116756396542;
  xx[17]= 0;    yy[17]= 0.9474216576936791;
  xx[18]= 0;    yy[18]= 0.8417592249910856;
  xx[19]= 0;    yy[19]= 0.5915741083422478;
  xx[20]= 0;    yy[20]= 0.4084258916577522;
  xx[21]= 0;    yy[21]= 0.1582407750089144;
  xx[22]= 0;    yy[22]= 0.05257834230632086;
  xx[23]= 0;    yy[23]= 0.01408832436034581;
  xx[24]= 0.06666666666666667;    yy[24]= 0.01408832436034581;
  xx[25]= 0.06666666666666667;    yy[25]= 0.05257834230632086;
  xx[26]= 0.4929558378198271;    yy[26]= 0.01408832436034581;
  xx[27]= 0.4737108288468396;    yy[27]= 0.05257834230632086;
  xx[28]= 0.9192450089729875;    yy[28]= 0.01408832436034581;
  xx[29]= 0.8807549910270125;    yy[29]= 0.05257834230632086;
  xx[30]= 0.9192450089729875;    yy[30]= 0.06666666666666667;
  xx[31]= 0.8807549910270125;    yy[31]= 0.06666666666666667;
  xx[32]= 0.4929558378198271;    yy[32]= 0.4929558378198271;
  xx[33]= 0.4737108288468396;    yy[33]= 0.4737108288468396;
  xx[34]= 0.06666666666666667;    yy[34]= 0.9192450089729875;
  xx[35]= 0.06666666666666667;    yy[35]= 0.8807549910270125;
  xx[36]= 0.01408832436034581;    yy[36]= 0.9192450089729875;
  xx[37]= 0.05257834230632086;    yy[37]= 0.8807549910270125;
  xx[38]= 0.01408832436034581;    yy[38]= 0.4929558378198271;
  xx[39]= 0.05257834230632086;    yy[39]= 0.4737108288468396;
  xx[40]= 0.01408832436034581;    yy[40]= 0.06666666666666667;
  xx[41]= 0.05257834230632086;    yy[41]= 0.06666666666666667;
  xx[42]= 0.1511966128287415;    yy[42]= 0.06666666666666667;
  xx[43]= 0.3821367205045918;    yy[43]= 0.06666666666666667;
  xx[44]= 0.5511966128287415;    yy[44]= 0.06666666666666667;
  xx[45]= 0.7821367205045918;    yy[45]= 0.06666666666666667;
  xx[46]= 0.7821367205045918;    yy[46]= 0.1511966128287415;
  xx[47]= 0.5511966128287415;    yy[47]= 0.3821367205045918;
  xx[48]= 0.3821367205045918;    yy[48]= 0.5511966128287415;
  xx[49]= 0.1511966128287415;    yy[49]= 0.7821367205045918;
  xx[50]= 0.06666666666666667;    yy[50]= 0.7821367205045918;
  xx[51]= 0.06666666666666667;    yy[51]= 0.5511966128287415;
  xx[52]= 0.06666666666666667;    yy[52]= 0.3821367205045918;
  xx[53]= 0.06666666666666667;    yy[53]= 0.1511966128287415;

  // Reconstruction coefs
  
  {
  RealFlow a[10]= 
  {1.4582171419531254, -0.03510226122972748, -0.06843711892739589, 
  -0.24334336516183136, 0.10071842609277668, -0.006919184357709881, 
  -0.006919570817126903, 0.19243108576622925, -0.42720603446421035, 
  0.036560881145870444};
    
  coefs[0][0]=a[0];coefs[0][1]=a[1];coefs[0][2]=a[2];coefs[0][3]=a[3];
  coefs[0][4]=a[4];coefs[0][5]=a[5];coefs[0][6]=a[6];coefs[0][7]=a[7];
  coefs[0][8]=a[8];coefs[0][9]=a[9];
  
  coefs[7][0]=a[1];coefs[7][1]=a[0];coefs[7][2]=a[2];coefs[7][3]=a[4];
  coefs[7][4]=a[3];coefs[7][5]=a[8];coefs[7][6]=a[7];coefs[7][7]=a[6];
  coefs[7][8]=a[5];coefs[7][9]=a[9];

  coefs[8][0]=a[2];coefs[8][1]=a[0];coefs[8][2]=a[1];coefs[8][3]=a[7];
  coefs[8][4]=a[8];coefs[8][5]=a[3];coefs[8][6]=a[4];coefs[8][7]=a[5];
  coefs[8][8]=a[6];coefs[8][9]=a[9];
  
  coefs[15][0]=a[2];coefs[15][1]=a[1];coefs[15][2]=a[0];coefs[15][3]=a[6];
  coefs[15][4]=a[5];coefs[15][5]=a[4];coefs[15][6]=a[3];coefs[15][7]=a[8];
  coefs[15][8]=a[7];coefs[15][9]=a[9];
  
  coefs[16][0]=a[1];coefs[16][1]=a[2];coefs[16][2]=a[0];coefs[16][3]=a[5];
  coefs[16][4]=a[6];coefs[16][5]=a[7];coefs[16][6]=a[8];coefs[16][7]=a[3];
  coefs[16][8]=a[4];coefs[16][9]=a[9];
  
  coefs[23][0]=a[0];coefs[23][1]=a[2];coefs[23][2]=a[1];coefs[23][3]=a[8];
  coefs[23][4]=a[7];coefs[23][5]=a[6];coefs[23][6]=a[5];coefs[23][7]=a[4];
  coefs[23][8]=a[3];coefs[23][9]=a[9];
  };
  {
  RealFlow a[10]= 
  {1.1035786490989175, 0.0346706079391327, 
  -0.07004720023994795, 0.24250562918019813, -0.09937717045756249, 
  0.00721361234654845, 0.008379267657742133, 0.19118395736271102, 
  -0.3781241797481484, -0.039983173139591016};
      
  coefs[1][0]=a[0];coefs[1][1]=a[1];coefs[1][2]=a[2];coefs[1][3]=a[3];
  coefs[1][4]=a[4];coefs[1][5]=a[5];coefs[1][6]=a[6];coefs[1][7]=a[7];
  coefs[1][8]=a[8];coefs[1][9]=a[9];
  
  coefs[6][0]=a[1];coefs[6][1]=a[0];coefs[6][2]=a[2];coefs[6][3]=a[4];
  coefs[6][4]=a[3];coefs[6][5]=a[8];coefs[6][6]=a[7];coefs[6][7]=a[6];
  coefs[6][8]=a[5];coefs[6][9]=a[9];

  coefs[9][0]=a[2];coefs[9][1]=a[0];coefs[9][2]=a[1];coefs[9][3]=a[7];
  coefs[9][4]=a[8];coefs[9][5]=a[3];coefs[9][6]=a[4];coefs[9][7]=a[5];
  coefs[9][8]=a[6];coefs[9][9]=a[9];
  
  coefs[14][0]=a[2];coefs[14][1]=a[1];coefs[14][2]=a[0];coefs[14][3]=a[6];
  coefs[14][4]=a[5];coefs[14][5]=a[4];coefs[14][6]=a[3];coefs[14][7]=a[8];
  coefs[14][8]=a[7];coefs[14][9]=a[9];
  
  coefs[17][0]=a[1];coefs[17][1]=a[2];coefs[17][2]=a[0];coefs[17][3]=a[5];
  coefs[17][4]=a[6];coefs[17][5]=a[7];coefs[17][6]=a[8];coefs[17][7]=a[3];
  coefs[17][8]=a[4];coefs[17][9]=a[9];
  
  coefs[22][0]=a[0];coefs[22][1]=a[2];coefs[22][2]=a[1];coefs[22][3]=a[8];
  coefs[22][4]=a[7];coefs[22][5]=a[6];coefs[22][6]=a[5];coefs[22][7]=a[4];
  coefs[22][8]=a[3];coefs[22][9]=a[9];
  };
  {
  RealFlow a[10]= 
  {0.3753660403108082, 0.10165357328450988, -0.07378451848298237, 
  1.1177200268542518, -0.3113012248115173, 0.033610858556794576, 
  0.04694243992224646, 0.18523759270045662, -0.2577876752226964, 
  -0.21765711311187164};
      
  coefs[2][0]=a[0];coefs[2][1]=a[1];coefs[2][2]=a[2];coefs[2][3]=a[3];
  coefs[2][4]=a[4];coefs[2][5]=a[5];coefs[2][6]=a[6];coefs[2][7]=a[7];
  coefs[2][8]=a[8];coefs[2][9]=a[9];
  
  coefs[5][0]=a[1];coefs[5][1]=a[0];coefs[5][2]=a[2];coefs[5][3]=a[4];
  coefs[5][4]=a[3];coefs[5][5]=a[8];coefs[5][6]=a[7];coefs[5][7]=a[6];
  coefs[5][8]=a[5];coefs[5][9]=a[9];

  coefs[10][0]=a[2];coefs[10][1]=a[0];coefs[10][2]=a[1];coefs[10][3]=a[7];
  coefs[10][4]=a[8];coefs[10][5]=a[3];coefs[10][6]=a[4];coefs[10][7]=a[5];
  coefs[10][8]=a[6];coefs[10][9]=a[9];
  
  coefs[13][0]=a[2];coefs[13][1]=a[1];coefs[13][2]=a[0];coefs[13][3]=a[6];
  coefs[13][4]=a[5];coefs[13][5]=a[4];coefs[13][6]=a[3];coefs[13][7]=a[8];
  coefs[13][8]=a[7];coefs[13][9]=a[9];
  
  coefs[18][0]=a[1];coefs[18][1]=a[2];coefs[18][2]=a[0];coefs[18][3]=a[5];
  coefs[18][4]=a[6];coefs[18][5]=a[7];coefs[18][6]=a[8];coefs[18][7]=a[3];
  coefs[18][8]=a[4];coefs[18][9]=a[9];
  
  coefs[21][0]=a[0];coefs[21][1]=a[2];coefs[21][2]=a[1];coefs[21][3]=a[8];
  coefs[21][4]=a[7];coefs[21][5]=a[6];coefs[21][6]=a[5];coefs[21][7]=a[4];
  coefs[21][8]=a[3];coefs[21][9]=a[9];
  };
  {
  RealFlow a[10]= 
  {-0.24920246299530047, -0.13346168060266347, 
  -0.07864351387264848, 1.2292691799283888, 0.43951255473569695, 
  0.02182615299246101, 0.11899817820989375, 0.15558790802099298, 
  -0.055230182336324624, -0.4486561340804964};
          
  coefs[3][0]=a[0];coefs[3][1]=a[1];coefs[3][2]=a[2];coefs[3][3]=a[3];
  coefs[3][4]=a[4];coefs[3][5]=a[5];coefs[3][6]=a[6];coefs[3][7]=a[7];
  coefs[3][8]=a[8];coefs[3][9]=a[9];
  
  coefs[4][0]=a[1];coefs[4][1]=a[0];coefs[4][2]=a[2];coefs[4][3]=a[4];
  coefs[4][4]=a[3];coefs[4][5]=a[8];coefs[4][6]=a[7];coefs[4][7]=a[6];
  coefs[4][8]=a[5];coefs[4][9]=a[9];

  coefs[11][0]=a[2];coefs[11][1]=a[0];coefs[11][2]=a[1];coefs[11][3]=a[7];
  coefs[11][4]=a[8];coefs[11][5]=a[3];coefs[11][6]=a[4];coefs[11][7]=a[5];
  coefs[11][8]=a[6];coefs[11][9]=a[9];
  
  coefs[12][0]=a[2];coefs[12][1]=a[1];coefs[12][2]=a[0];coefs[12][3]=a[6];
  coefs[12][4]=a[5];coefs[12][5]=a[4];coefs[12][6]=a[3];coefs[12][7]=a[8];
  coefs[12][8]=a[7];coefs[12][9]=a[9];
  
  coefs[19][0]=a[1];coefs[19][1]=a[2];coefs[19][2]=a[0];coefs[19][3]=a[5];
  coefs[19][4]=a[6];coefs[19][5]=a[7];coefs[19][6]=a[8];coefs[19][7]=a[3];
  coefs[19][8]=a[4];coefs[19][9]=a[9];
  
  coefs[20][0]=a[0];coefs[20][1]=a[2];coefs[20][2]=a[1];coefs[20][3]=a[8];
  coefs[20][4]=a[7];coefs[20][5]=a[6];coefs[20][6]=a[5];coefs[20][7]=a[4];
  coefs[20][8]=a[3];coefs[20][9]=a[9];
  };
  
  {
  RealFlow a[10]= 
  {0.8769248809228334, 0.054284484652666914, -0.03648981515150176, 
  0.37936768791529424, -0.15538611084617357, 0.006466475871862842, 
  0.007482047576794074, 0.09933575347817022, -0.195290007750775, 
  -0.036695396669171265};
  
  coefs[24][0]=a[0];coefs[24][1]=a[1];coefs[24][2]=a[2];coefs[24][3]=a[3];
  coefs[24][4]=a[4];coefs[24][5]=a[5];coefs[24][6]=a[6];coefs[24][7]=a[7];
  coefs[24][8]=a[8];coefs[24][9]=a[9];
  
  coefs[28][0]=a[1];coefs[28][1]=a[0];coefs[28][2]=a[2];coefs[28][3]=a[4];
  coefs[28][4]=a[3];coefs[28][5]=a[8];coefs[28][6]=a[7];coefs[28][7]=a[6];
  coefs[28][8]=a[5];coefs[28][9]=a[9];

  coefs[30][0]=a[2];coefs[30][1]=a[0];coefs[30][2]=a[1];coefs[30][3]=a[7];
  coefs[30][4]=a[8];coefs[30][5]=a[3];coefs[30][6]=a[4];coefs[30][7]=a[5];
  coefs[30][8]=a[6];coefs[30][9]=a[9];
  
  coefs[34][0]=a[2];coefs[34][1]=a[1];coefs[34][2]=a[0];coefs[34][3]=a[6];
  coefs[34][4]=a[5];coefs[34][5]=a[4];coefs[34][6]=a[3];coefs[34][7]=a[8];
  coefs[34][8]=a[7];coefs[34][9]=a[9];
  
  coefs[36][0]=a[1];coefs[36][1]=a[2];coefs[36][2]=a[0];coefs[36][3]=a[5];
  coefs[36][4]=a[6];coefs[36][5]=a[7];coefs[36][6]=a[8];coefs[36][7]=a[3];
  coefs[36][8]=a[4];coefs[36][9]=a[9];
  
  coefs[40][0]=a[0];coefs[40][1]=a[2];coefs[40][2]=a[1];coefs[40][3]=a[8];
  coefs[40][4]=a[7];coefs[40][5]=a[6];coefs[40][6]=a[5];coefs[40][7]=a[4];
  coefs[40][8]=a[3];coefs[40][9]=a[9];
  };
    
  {
  RealFlow a[10]= 
  {0.6095518323032924, 0.056290142027891475, 
  0.03689879270513509, 0.3338590406806798, -0.15640949717021269, 
  -0.007672990449801559, -0.00782346051548103, -0.10053610099268978, 
  0.19596848464057803, 0.039873756770608296};
  
  coefs[25][0]=a[0];coefs[25][1]=a[1];coefs[25][2]=a[2];coefs[25][3]=a[3];
  coefs[25][4]=a[4];coefs[25][5]=a[5];coefs[25][6]=a[6];coefs[25][7]=a[7];
  coefs[25][8]=a[8];coefs[25][9]=a[9];
  
  coefs[29][0]=a[1];coefs[29][1]=a[0];coefs[29][2]=a[2];coefs[29][3]=a[4];
  coefs[29][4]=a[3];coefs[29][5]=a[8];coefs[29][6]=a[7];coefs[29][7]=a[6];
  coefs[29][8]=a[5];coefs[29][9]=a[9];

  coefs[31][0]=a[2];coefs[31][1]=a[0];coefs[31][2]=a[1];coefs[31][3]=a[7];
  coefs[31][4]=a[8];coefs[31][5]=a[3];coefs[31][6]=a[4];coefs[31][7]=a[5];
  coefs[31][8]=a[6];coefs[31][9]=a[9];
  
  coefs[35][0]=a[2];coefs[35][1]=a[1];coefs[35][2]=a[0];coefs[35][3]=a[6];
  coefs[35][4]=a[5];coefs[35][5]=a[4];coefs[35][6]=a[3];coefs[35][7]=a[8];
  coefs[35][8]=a[7];coefs[35][9]=a[9];
  
  coefs[37][0]=a[1];coefs[37][1]=a[2];coefs[37][2]=a[0];coefs[37][3]=a[5];
  coefs[37][4]=a[6];coefs[37][5]=a[7];coefs[37][6]=a[8];coefs[37][7]=a[3];
  coefs[37][8]=a[4];coefs[37][9]=a[9];
  
  coefs[41][0]=a[0];coefs[41][1]=a[2];coefs[41][2]=a[1];coefs[41][3]=a[8];
  coefs[41][4]=a[7];coefs[41][5]=a[6];coefs[41][6]=a[5];coefs[41][7]=a[4];
  coefs[41][8]=a[3];coefs[41][9]=a[9];
  };
  
  {
  RealFlow a[10]= 
  {-0.21429501182106528, -0.21429501182106528, -0.040604328247098066, 
  0.7921660607666403, 0.7921660607666403, -0.0033186455971396522, 
  0.07271086492934913, 0.07271086492934913, -0.0033186455971396522, 
  -0.25392220830847095};
    
  coefs[26][0]=a[0];coefs[26][1]=a[1];coefs[26][2]=a[2];coefs[26][3]=a[3];
  coefs[26][4]=a[4];coefs[26][5]=a[5];coefs[26][6]=a[6];coefs[26][7]=a[7];
  coefs[26][8]=a[8];coefs[26][9]=a[9];
  
  coefs[32][0]=a[2];coefs[32][1]=a[0];coefs[32][2]=a[1];coefs[32][3]=a[7];
  coefs[32][4]=a[8];coefs[32][5]=a[3];coefs[32][6]=a[4];coefs[32][7]=a[5];
  coefs[32][8]=a[6];coefs[32][9]=a[9];
    
  coefs[38][0]=a[0];coefs[38][1]=a[2];coefs[38][2]=a[1];coefs[38][3]=a[8];
  coefs[38][4]=a[7];coefs[38][5]=a[6];coefs[38][6]=a[5];coefs[38][7]=a[4];
  coefs[38][8]=a[3];coefs[38][9]=a[9];
  };
  
  {
  RealFlow a[10]= 
  {-0.1858437045797919, -0.1858437045797919, 
  0.04318618281751991, 0.6028339798660485, 0.6028339798660485, 
  0.005841786712695782, -0.07703035247802063, -0.07703035247802063, 
  0.005841786712695782, 0.2652103981406168};
    
  coefs[27][0]=a[0];coefs[27][1]=a[1];coefs[27][2]=a[2];coefs[27][3]=a[3];
  coefs[27][4]=a[4];coefs[27][5]=a[5];coefs[27][6]=a[6];coefs[27][7]=a[7];
  coefs[27][8]=a[8];coefs[27][9]=a[9];
  
  coefs[33][0]=a[2];coefs[33][1]=a[0];coefs[33][2]=a[1];coefs[33][3]=a[7];
  coefs[33][4]=a[8];coefs[33][5]=a[3];coefs[33][6]=a[4];coefs[33][7]=a[5];
  coefs[33][8]=a[6];coefs[33][9]=a[9];
    
  coefs[39][0]=a[0];coefs[39][1]=a[2];coefs[39][2]=a[1];coefs[39][3]=a[8];
  coefs[39][4]=a[7];coefs[39][5]=a[6];coefs[39][6]=a[5];coefs[39][7]=a[4];
  coefs[39][8]=a[3];coefs[39][9]=a[9];
  };
  
  {
  RealFlow a[10]= 
  {0.11602268678538075, 0.1120352160093954, 0.060616017060692376, 
  0.8321333555350565, -0.32391128566308486, -0.03388958462684825, 
  -0.041203165365268274, -0.15558311628075386, 0.22875897488385705, 
  0.20502090166157316};
    
  coefs[42][0]=a[0];coefs[42][1]=a[1];coefs[42][2]=a[2];coefs[42][3]=a[3];
  coefs[42][4]=a[4];coefs[42][5]=a[5];coefs[42][6]=a[6];coefs[42][7]=a[7];
  coefs[42][8]=a[8];coefs[42][9]=a[9];
  
  coefs[45][0]=a[1];coefs[45][1]=a[0];coefs[45][2]=a[2];coefs[45][3]=a[4];
  coefs[45][4]=a[3];coefs[45][5]=a[8];coefs[45][6]=a[7];coefs[45][7]=a[6];
  coefs[45][8]=a[5];coefs[45][9]=a[9];

  coefs[46][0]=a[2];coefs[46][1]=a[0];coefs[46][2]=a[1];coefs[46][3]=a[7];
  coefs[46][4]=a[8];coefs[46][5]=a[3];coefs[46][6]=a[4];coefs[46][7]=a[5];
  coefs[46][8]=a[6];coefs[46][9]=a[9];
  
  coefs[49][0]=a[2];coefs[49][1]=a[1];coefs[49][2]=a[0];coefs[49][3]=a[6];
  coefs[49][4]=a[5];coefs[49][5]=a[4];coefs[49][6]=a[3];coefs[49][7]=a[8];
  coefs[49][8]=a[7];coefs[49][9]=a[9];
  
  coefs[50][0]=a[1];coefs[50][1]=a[2];coefs[50][2]=a[0];coefs[50][3]=a[5];
  coefs[50][4]=a[6];coefs[50][5]=a[7];coefs[50][6]=a[8];coefs[50][7]=a[3];
  coefs[50][8]=a[4];coefs[50][9]=a[9];
  
  coefs[53][0]=a[0];coefs[53][1]=a[2];coefs[53][2]=a[1];coefs[53][3]=a[8];
  coefs[53][4]=a[7];coefs[53][5]=a[6];coefs[53][6]=a[5];coefs[53][7]=a[4];
  coefs[53][8]=a[3];coefs[53][9]=a[9];
  };
  {
  RealFlow a[10]= 
  {-0.22838965475734788, -0.08074012456053378, 
  0.06617014517669886, 0.8339884075537574, 0.20422742886727205, 
  -0.02236032534873069, -0.10388045576648014, -0.13489526397533627, 
  0.048821285469737775, 0.41705855734096275};
    
  coefs[43][0]=a[0];coefs[43][1]=a[1];coefs[43][2]=a[2];coefs[43][3]=a[3];
  coefs[43][4]=a[4];coefs[43][5]=a[5];coefs[43][6]=a[6];coefs[43][7]=a[7];
  coefs[43][8]=a[8];coefs[43][9]=a[9];
  
  coefs[44][0]=a[1];coefs[44][1]=a[0];coefs[44][2]=a[2];coefs[44][3]=a[4];
  coefs[44][4]=a[3];coefs[44][5]=a[8];coefs[44][6]=a[7];coefs[44][7]=a[6];
  coefs[44][8]=a[5];coefs[44][9]=a[9];

  coefs[47][0]=a[2];coefs[47][1]=a[0];coefs[47][2]=a[1];coefs[47][3]=a[7];
  coefs[47][4]=a[8];coefs[47][5]=a[3];coefs[47][6]=a[4];coefs[47][7]=a[5];
  coefs[47][8]=a[6];coefs[47][9]=a[9];
  
  coefs[48][0]=a[2];coefs[48][1]=a[1];coefs[48][2]=a[0];coefs[48][3]=a[6];
  coefs[48][4]=a[5];coefs[48][5]=a[4];coefs[48][6]=a[3];coefs[48][7]=a[8];
  coefs[48][8]=a[7];coefs[48][9]=a[9];
  
  coefs[51][0]=a[1];coefs[51][1]=a[2];coefs[51][2]=a[0];coefs[51][3]=a[5];
  coefs[51][4]=a[6];coefs[51][5]=a[7];coefs[51][6]=a[8];coefs[51][7]=a[3];
  coefs[51][8]=a[4];coefs[51][9]=a[9];
  
  coefs[52][0]=a[0];coefs[52][1]=a[2];coefs[52][2]=a[1];coefs[52][3]=a[8];
  coefs[52][4]=a[7];coefs[52][5]=a[6];coefs[52][6]=a[5];coefs[52][7]=a[4];
  coefs[52][8]=a[3];coefs[52][9]=a[9];
  };