
(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%  NOTATION   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)
(*                                                                                       *)
(* chpoly is a list of matrices                                                          *)
(*                                                                                       *)
(* chpoly[ m^* ][ a, b, a][ twist, spin] = { bfK[j=m], bfK[m-1], bfK[m-2] … , bfK[j=0] } *)
(*                                                                                       *)
(* load the polynomial as follows                                                        *)
(*                                                                                       *)
(* K[j]= \tilde{eta}^(m-j) * Table[cT^ii, {…}].bfK[j].Table[cB^ii, {…}]                  *)
(*                                                                                       *)
(* and sum over j                                                                        *)
(*                                                                                       *)
(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)




(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)



chpoly[3][0, b, 0][\[Tau], 0] = {{{0, 0, -3527193600/1859, 4627342080/1859, 
       136597104/1859, -1755900504/1859, 428179419/1859, 118743390/1859, 
       -54997611/1859, 5620100/1859, 143709/1859, -342/13, 1}, 
      {0, -7054387200/1859, 10354832640/1859, -5217027264/1859, 
       1267851528/1859, 138690846/1859, -417959766/1859, 203636328/1859, 
       -30713340/1859, -677010/1859, 3078/13, -12, 0}, 
      {-3527193600/1859, 10354832640/1859, -11589047136/1859, 
       3569584464/1859, 50359509/1859, 182437326/1859, -266603028/1859, 
       69265200/1859, 35115/169, -11970/13, 66, 0, 0}, 
      {4627342080/1859, -5217027264/1859, 3569584464/1859, -1807768476/1859, 
       116779050/1859, 8742072/143, -7246960/169, 4037160/1859, 25650/13, 
       -220, 0, 0, 0}, {136597104/1859, 1267851528/1859, 50359509/1859, 
       116779050/1859, 8634750/1859, 2734200/143, -12385590/1859, -30780/13, 
       495, 0, 0, 0, 0}, {-1755900504/1859, 138690846/1859, 182437326/1859, 
       8742072/143, 2734200/143, 16990932/1859, 14364/13, -792, 0, 0, 0, 0, 
       0}, {428179419/1859, -417959766/1859, -266603028/1859, -7246960/169, 
       -12385590/1859, 14364/13, 924, 0, 0, 0, 0, 0, 0}, 
      {118743390/1859, 203636328/1859, 69265200/1859, 4037160/1859, 
       -30780/13, -792, 0, 0, 0, 0, 0, 0, 0}, {-54997611/1859, 
       -30713340/1859, 35115/169, 25650/13, 495, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {5620100/1859, -677010/1859, -11970/13, -220, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {143709/1859, 3078/13, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-342/13, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 225348480/1859, -17492112/169, -68538960/1859, 40998429/1859, 
       -7010292/1859, 835218/1859, -684/13, 3, 0, 0, 0, 0}, 
      {225348480/1859, -272152224/1859, 209294928/1859, -71004276/1859, 
       21590748/1859, -3240348/1859, 3420/13, -24, 0, 0, 0, 0, 0}, 
      {-17492112/169, 209294928/1859, 24511662/1859, -1325496/169, 
       5444430/1859, -6156/13, 84, 0, 0, 0, 0, 0, 0}, 
      {-68538960/1859, -71004276/1859, -1325496/169, -552600/169, 3420/13, 
       -168, 0, 0, 0, 0, 0, 0, 0}, {40998429/1859, 21590748/1859, 
       5444430/1859, 3420/13, 210, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-7010292/1859, -3240348/1859, -6156/13, -168, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {835218/1859, 3420/13, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-684/13, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}}, {{90720/143, -96984/143, 53193/143, -342/13, 3, 0, 0, 0, 0, 
       0, 0, 0, 0}, {-96984/143, -2202/11, 342/13, -12, 0, 0, 0, 0, 0, 0, 0, 
       0, 0}, {53193/143, 342/13, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-342/13, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}};


(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)

 
chpoly[3][0, b, 0][\[Tau], 1] = 
    {{{0, 0, 0, 649003622400/289, 1120992514560/289, -510817415040/289, 
       -2020983214536/1445, 228941543124/289, -104799143142/1445, 
       -24882350121/1445, 225798516/85, 80285409/1445, -6064462/289, 
       782121/1445, 480/17, -1}, {0, 0, 282175488000/289, -1262130647040/289, 
       -529920527616/289, 5611838920704/1445, -2031261369012/1445, 
       28881903348/1445, 121286990223/1445, -19143989154/1445, 
       -112067931/289, 258794664/1445, -9009759/1445, -5682/17, 15, 0}, 
      {0, -489104179200/289, -1826481623040/289, 785484739584/289, 
       -2906101152/17, -107413483104/1445, 46796483538/289, -11336737743/85, 
       41315333766/1445, 1451582601/1445, -194513322/289, 9506055/289, 
       30186/17, -105, 0, 0}, {-259183411200/289, 952349736960/289, 
       1629412153344/289, -916293869568/289, 49095977904/289, 
       37041454152/1445, 23538527129/289, -49478212692/1445, 
       -1186841823/1445, 418589592/289, -151875537/1445, -93756/17, 455, 0, 
       0, 0}, {50074951680/17, -514273867776/289, -219148267392/289, 
       326753363520/289, -2053208784/17, -39153442812/1445, 30164046168/1445, 
       -1918764297/1445, -552522060/289, 65504142/289, 183612/17, -1365, 0, 
       0, 0, 0}, {-831725162496/289, 890094882816/1445, -71711972544/289, 
       -136101170688/1445, 43741552056/1445, 1656833238/1445, 
       5309451231/1445, 415155888/289, -502541622/1445, -12870, 3003, 0, 0, 
       0, 0, 0}, {1438994868736/1445, -27230244864/85, -1679710944/85, 
       -45189656368/1445, -15038846826/1445, -777037737/289, -291328548/1445, 
       563270598/1445, 105534/17, -5005, 0, 0, 0, 0, 0, 0}, 
      {-63805545216/1445, 42124543104/289, 46208802576/1445, 5851001184/1445, 
       -100141893/85, -261948528/289, -93139002/289, 133848/17, 6435, 0, 0, 
       0, 0, 0, 0, 0}, {-66550344192/1445, -7897284672/289, 2311918392/1445, 
       5153131068/1445, 356786298/289, 282996549/1445, -339768/17, -6435, 0, 
       0, 0, 0, 0, 0, 0, 0}, {735672576/85, -1554922848/1445, 
       -3966567108/1445, -257535800/289, -24847647/289, 374946/17, 5005, 0, 
       0, 0, 0, 0, 0, 0, 0, 0}, {15652800/289, 286944816/289, 115091934/289, 
       38037351/1445, -261690/17, -3003, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-41812128/289, -8837448/85, -7612989/1445, 122148/17, 1365, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0}, {3514560/289, 175692/289, -37284/17, -455, 0, 
       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {-42912/1445, 6774/17, 105, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {-558/17, -15, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 0, 4325011200/289, 7705891584/289, -17770744548/1445, 
       631855404/1445, 124489791/1445, -1249524/85, 1222638/1445, -960/17, 3, 
       0, 0, 0, 0, 0}, {0, -1052559360/289, -10738469376/289, 
       22735401408/1445, 2382108804/1445, -135372006/289, 119395992/1445, 
       -8953692/1445, 6564/17, -30, 0, 0, 0, 0, 0, 0}, 
      {-2623933440/289, -3170327040/289, -827261856/1445, -779856336/289, 
       1354774959/1445, -231286968/1445, 5915214/289, -1056, 135, 0, 0, 0, 0, 
       0, 0, 0}, {365008896/17, 859574016/289, -1676481504/1445, 
       -1713788832/1445, 27081312/289, -57896616/1445, 22512/17, -360, 0, 0, 
       0, 0, 0, 0, 0, 0}, {-8500459584/1445, 2557427712/1445, 
       1607871552/1445, 25358076/289, 14727318/289, -4704/17, 630, 0, 0, 0, 
       0, 0, 0, 0, 0, 0}, {4371264/1445, -171223008/289, -224800632/1445, 
       -62190108/1445, -24360/17, -756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {31925520/289, 116356128/1445, 33869562/1445, 35616/17, 630, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0}, {-20619552/1445, -2158752/289, -23568/17, 
       -360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1529316/1445, 7968/17, 
       135, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {-1116/17, -30, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, -360288/17, 310554/85, -117927/85, 480/17, -3, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {304128/17, 1152/85, 237003/85, -882/17, 15, 0, 0, 0, 0, 0, 
       0, 0, 0, 0, 0, 0}, {-290856/85, -42312/17, -234/17, -30, 0, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0}, {92484/85, 1194/17, 30, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0, 0, 0, 0}, {-558/17, -15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0}, {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}};


(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)

 
chpoly[3][0, b, 0][\[Tau], 2] = {{{0, 0, -43266908160/289, 89387297280/289, 
       -235242211392/1445, -20244207528/1445, 27021301191/1445, 
       -1141003044/1445, -628966089/1445, 37491296/1445, 929949/1445, 
       -1092/17, 1}, {0, -43266908160/289, 70818769152/289, 
       -290388390336/1445, 183907017972/1445, -34701726618/1445, 
       -590208120/289, 2052192744/1445, -41778444/289, -5137938/1445, 
       10080/17, -12, 0}, {-10816727040/289, 11890841472/289, 
       -91920053232/1445, 63130482432/1445, -5848676523/289, 4380765444/1445, 
       -2275899372/1445, 92745504/289, 1734501/289, -40740/17, 66, 0, 0}, 
      {-585859392/289, 3675769632/85, -62374373352/1445, -4548671532/1445, 
       2578855104/1445, 891142776/1445, -494465936/1445, 3991848/1445, 
       93240/17, -220, 0, 0, 0}, {6145353360/289, -28123017912/1445, 
       28096162281/1445, 485009316/1445, 12772026/1445, 40515744/289, 
       -34475574/1445, -7560, 495, 0, 0, 0, 0}, {-1001631420/289, 
       4780384614/1445, -3274607736/1445, -9834696/289, 72184344/1445, 
       50397396/1445, 98784/17, -792, 0, 0, 0, 0, 0}, 
      {-726931557/289, -1431795204/1445, -187046028/1445, -21394720/289, 
       -29552502/1445, -17640/17, 924, 0, 0, 0, 0, 0, 0}, 
      {270763344/289, 336586248/1445, 8006832/289, -326904/289, -45360/17, 
       -792, 0, 0, 0, 0, 0, 0, 0}, {-30321765/289, -6359424/1445, 
       11837337/1445, 51660/17, 495, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {135028/289, -6075666/1445, -26880/17, -220, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {209433/289, 7308/17, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-840/17, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 1180956672/289, -6080256576/1445, -288602352/1445, 367095591/1445, 
       -8082216/289, 3043338/1445, -2184/17, 3, 0, 0, 0, 0}, 
      {590478336/289, -3789540288/1445, 3571197336/1445, -505635804/1445, 
       110152728/1445, -9988284/1445, 672, -24, 0, 0, 0, 0, 0}, 
      {-185655888/289, 205299360/289, -213328566/1445, -97333776/1445, 
       11742726/1445, -22680/17, 84, 0, 0, 0, 0, 0, 0}, 
      {-112236840/289, -41323500/289, 525168/1445, -7954824/1445, 18480/17, 
       -168, 0, 0, 0, 0, 0, 0, 0}, {38441115/289, 10479096/289, 7640886/1445, 
       840/17, 210, 0, 0, 0, 0, 0, 0, 0, 0}, {-5065704/289, -6706812/1445, 
       -12096/17, -168, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {444594/289, 7896/17, 84, 
       0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {-1680/17, -24, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{72576/17, -385128/85, 124317/85, -1092/17, 3, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-45468/17, -6858/85, 1344/17, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {13833/17, 588/17, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-840/17, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}};


(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)

 
chpoly[3][1, b, 1][\[Tau], 0] = 
    {{{0, 0, 0, 259183411200/289, -50074951680/17, 831725162496/289, 
       -1438994868736/1445, 63805545216/1445, 66550344192/1445, 
       -735672576/85, -15652800/289, 41812128/289, -3514560/289, 42912/1445, 
       558/17, -1}, {0, 0, 489104179200/289, -952349736960/289, 
       514273867776/289, -890094882816/1445, 27230244864/85, 
       -42124543104/289, 7897284672/289, 1554922848/1445, -286944816/289, 
       8837448/85, -175692/289, -6774/17, 15, 0}, {0, -282175488000/289, 
       1826481623040/289, -1629412153344/289, 219148267392/289, 
       71711972544/289, 1679710944/85, -46208802576/1445, -2311918392/1445, 
       3966567108/1445, -115091934/289, 7612989/1445, 37284/17, -105, 0, 0}, 
      {-649003622400/289, 1262130647040/289, -785484739584/289, 
       916293869568/289, -326753363520/289, 136101170688/1445, 
       45189656368/1445, -5851001184/1445, -5153131068/1445, 257535800/289, 
       -38037351/1445, -122148/17, 455, 0, 0, 0}, {-1120992514560/289, 
       529920527616/289, 2906101152/17, -49095977904/289, 2053208784/17, 
       -43741552056/1445, 15038846826/1445, 100141893/85, -356786298/289, 
       24847647/289, 261690/17, -1365, 0, 0, 0, 0}, {510817415040/289, 
       -5611838920704/1445, 107413483104/1445, -37041454152/1445, 
       39153442812/1445, -1656833238/1445, 777037737/289, 261948528/289, 
       -282996549/1445, -374946/17, 3003, 0, 0, 0, 0, 0}, 
      {2020983214536/1445, 2031261369012/1445, -46796483538/289, 
       -23538527129/289, -30164046168/1445, -5309451231/1445, 291328548/1445, 
       93139002/289, 339768/17, -5005, 0, 0, 0, 0, 0, 0}, 
      {-228941543124/289, -28881903348/1445, 11336737743/85, 
       49478212692/1445, 1918764297/1445, -415155888/289, -563270598/1445, 
       -133848/17, 6435, 0, 0, 0, 0, 0, 0, 0}, {104799143142/1445, 
       -121286990223/1445, -41315333766/1445, 1186841823/1445, 552522060/289, 
       502541622/1445, -105534/17, -6435, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {24882350121/1445, 19143989154/1445, -1451582601/1445, -418589592/289, 
       -65504142/289, 12870, 5005, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-225798516/85, 112067931/289, 194513322/289, 151875537/1445, 
       -183612/17, -3003, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-80285409/1445, -258794664/1445, -9506055/289, 93756/17, 1365, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0, 0}, {6064462/289, 9009759/1445, -30186/17, 
       -455, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {-782121/1445, 5682/17, 
       105, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {-480/17, -15, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0, 0}}, {{0, 0, -2623933440/289, 365008896/17, -8500459584/1445, 
       4371264/1445, 31925520/289, -20619552/1445, 1529316/1445, -1116/17, 3, 
       0, 0, 0, 0, 0}, {0, -1052559360/289, -3170327040/289, 859574016/289, 
       2557427712/1445, -171223008/289, 116356128/1445, -2158752/289, 
       7968/17, -30, 0, 0, 0, 0, 0, 0}, {4325011200/289, -10738469376/289, 
       -827261856/1445, -1676481504/1445, 1607871552/1445, -224800632/1445, 
       33869562/1445, -23568/17, 135, 0, 0, 0, 0, 0, 0, 0}, 
      {7705891584/289, 22735401408/1445, -779856336/289, -1713788832/1445, 
       25358076/289, -62190108/1445, 35616/17, -360, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-17770744548/1445, 2382108804/1445, 1354774959/1445, 27081312/289, 
       14727318/289, -24360/17, 630, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {631855404/1445, -135372006/289, -231286968/1445, -57896616/1445, 
       -4704/17, -756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {124489791/1445, 119395992/1445, 5915214/289, 22512/17, 630, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0}, {-1249524/85, -8953692/1445, -1056, -360, 0, 
       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1222638/1445, 6564/17, 135, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {-960/17, -30, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0}, {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, -304128/17, 290856/85, -92484/85, 558/17, -3, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {360288/17, -1152/85, 42312/17, -1194/17, 15, 0, 0, 0, 0, 0, 
       0, 0, 0, 0, 0, 0}, {-310554/85, -237003/85, 234/17, -30, 0, 0, 0, 0, 
       0, 0, 0, 0, 0, 0, 0, 0}, {117927/85, 882/17, 30, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0, 0, 0, 0}, {-480/17, -15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0}, {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}};


(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)

 
chpoly[3][1, b, 1][\[Tau], 1] = 
    {{{0, 0, -252829237248/1445, 222897733632/1445, 1833394176/289, 
       -8237168640/289, 5407775744/1445, 1655892096/1445, -73640352/289, 
       14010776/1445, 1053588/1445, -966/17, 1}, {0, -505658474496/1445, 
       556324651008/1445, -40768634880/289, 15232002048/1445, 
       11971848192/1445, -4992016512/1445, 1075370112/1445, -72118728/1445, 
       -6257112/1445, 8694/17, -12, 0}, {-252829237248/1445, 
       556324651008/1445, -438505684992/1445, 113096798208/1445, 
       -4350188544/1445, -342036864/1445, -959070336/1445, 30086400/289, 
       13181316/1445, -33810/17, 66, 0, 0}, {222897733632/1445, 
       -40768634880/289, 113096798208/1445, -38289461248/1445, 735632256/289, 
       49178496/1445, -158691392/1445, -6625056/1445, 72450/17, -220, 0, 0, 
       0}, {1833394176/289, 15232002048/1445, -4350188544/1445, 
       735632256/289, 405446976/1445, 66367344/1445, -18357528/1445, 
       -86940/17, 495, 0, 0, 0, 0}, {-8237168640/289, 11971848192/1445, 
       -342036864/1445, 49178496/1445, 66367344/1445, 34009584/1445, 
       40572/17, -792, 0, 0, 0, 0, 0}, {5407775744/1445, -4992016512/1445, 
       -959070336/1445, -158691392/1445, -18357528/1445, 40572/17, 924, 0, 0, 
       0, 0, 0, 0}, {1655892096/1445, 1075370112/1445, 30086400/289, 
       -6625056/1445, -86940/17, -792, 0, 0, 0, 0, 0, 0, 0}, 
      {-73640352/289, -72118728/1445, 13181316/1445, 72450/17, 495, 0, 0, 0, 
       0, 0, 0, 0, 0}, {14010776/1445, -6257112/1445, -33810/17, -220, 0, 0, 
       0, 0, 0, 0, 0, 0, 0}, {1053588/1445, 8694/17, 66, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {-966/17, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 5518098432/1445, -3271394304/1445, -637880832/1445, 288606336/1445, 
       -33978912/1445, 2685996/1445, -1932/17, 3, 0, 0, 0, 0}, 
      {5518098432/1445, -5316544512/1445, 508985856/289, -375871488/1445, 
       16920288/289, -1732920/289, 9660/17, -24, 0, 0, 0, 0, 0}, 
      {-3271394304/1445, 508985856/289, -38350080/289, -50622528/1445, 
       10484436/1445, -17388/17, 84, 0, 0, 0, 0, 0, 0}, 
      {-637880832/1445, -375871488/1445, -50622528/1445, -9011664/1445, 
       9660/17, -168, 0, 0, 0, 0, 0, 0, 0}, {288606336/1445, 16920288/289, 
       10484436/1445, 9660/17, 210, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-33978912/1445, -1732920/289, -17388/17, -168, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {2685996/1445, 9660/17, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-1932/17, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}}, {{435456/85, -329184/85, 96024/85, -966/17, 3, 0, 0, 0, 0, 
       0, 0, 0, 0}, {-329184/85, -5424/85, 966/17, -12, 0, 0, 0, 0, 0, 0, 0, 
       0, 0}, {96024/85, 966/17, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-966/17, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}};


(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)

 
chpoly[3][2, b, 2][\[Tau], 0] = {{{0, 0, -10816727040/289, -585859392/289, 
       6145353360/289, -1001631420/289, -726931557/289, 270763344/289, 
       -30321765/289, 135028/289, 209433/289, -840/17, 1}, 
      {0, -43266908160/289, 11890841472/289, 3675769632/85, 
       -28123017912/1445, 4780384614/1445, -1431795204/1445, 336586248/1445, 
       -6359424/1445, -6075666/1445, 7308/17, -12, 0}, 
      {-43266908160/289, 70818769152/289, -91920053232/1445, 
       -62374373352/1445, 28096162281/1445, -3274607736/1445, 
       -187046028/1445, 8006832/289, 11837337/1445, -26880/17, 66, 0, 0}, 
      {89387297280/289, -290388390336/1445, 63130482432/1445, 
       -4548671532/1445, 485009316/1445, -9834696/289, -21394720/289, 
       -326904/289, 51660/17, -220, 0, 0, 0}, {-235242211392/1445, 
       183907017972/1445, -5848676523/289, 2578855104/1445, 12772026/1445, 
       72184344/1445, -29552502/1445, -45360/17, 495, 0, 0, 0, 0}, 
      {-20244207528/1445, -34701726618/1445, 4380765444/1445, 891142776/1445, 
       40515744/289, 50397396/1445, -17640/17, -792, 0, 0, 0, 0, 0}, 
      {27021301191/1445, -590208120/289, -2275899372/1445, -494465936/1445, 
       -34475574/1445, 98784/17, 924, 0, 0, 0, 0, 0, 0}, 
      {-1141003044/1445, 2052192744/1445, 92745504/289, 3991848/1445, -7560, 
       -792, 0, 0, 0, 0, 0, 0, 0}, {-628966089/1445, -41778444/289, 
       1734501/289, 93240/17, 495, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {37491296/1445, -5137938/1445, -40740/17, -220, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {929949/1445, 10080/17, 66, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-1092/17, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{0, 590478336/289, -185655888/289, -112236840/289, 38441115/289, 
       -5065704/289, 444594/289, -1680/17, 3, 0, 0, 0, 0}, 
      {1180956672/289, -3789540288/1445, 205299360/289, -41323500/289, 
       10479096/289, -6706812/1445, 7896/17, -24, 0, 0, 0, 0, 0}, 
      {-6080256576/1445, 3571197336/1445, -213328566/1445, 525168/1445, 
       7640886/1445, -12096/17, 84, 0, 0, 0, 0, 0, 0}, 
      {-288602352/1445, -505635804/1445, -97333776/1445, -7954824/1445, 
       840/17, -168, 0, 0, 0, 0, 0, 0, 0}, {367095591/1445, 110152728/1445, 
       11742726/1445, 18480/17, 210, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-8082216/289, -9988284/1445, -22680/17, -168, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {3043338/1445, 672, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-2184/17, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}}, {{72576/17, -45468/17, 13833/17, -840/17, 3, 0, 0, 0, 0, 0, 
       0, 0, 0}, {-385128/85, -6858/85, 588/17, -12, 0, 0, 0, 0, 0, 0, 0, 0, 
       0}, {124317/85, 1344/17, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {-1092/17, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, 
     {{1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
       0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, 
      {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}}};


(* %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% *)

 
chpoly[4][0, b, 0][\[Tau], 0] = {{{0, 0, 0, -2013184152412618752000/63869, 
       4440588933010135449600/63869, -2496167649355895930880/63869, 
       -68623630971067957248/4913, 1396287372640282214400/63869, 
       -9287623477516868517888/1596725, -2867007003736200708096/1596725, 
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