Append(~systems_of_eigenvalues, <"7803", [
<1, [ ], x + 1, [ -1, 0, -4, 2, 3, -5, 0, 2, 8, 0, -10, 11 ]>,
<2, [ ], x - 1, [ 1, 0, 4, 2, -3, -5, 0, 2, -8, 0, -10, 11 ]>,
<3, [ ], x, [ 0, 0, 0, -5, 0, -7, 0, 8, 0, 0, 7, 10 ]>,
<4, [ ], x - 2, [ 2, 0, -2, 1, 0, 1, 0, -4, 4, 6, 1, 10 ]>,
<5, [ ], x + 2, [ -2, 0, 2, 1, 0, 1, 0, -4, -4, -6, 1, 10 ]>,
<6, [ ], x - 2, [ 2, 0, 2, -4, -3, 7, 0, -4, -1, 9, 2, 8 ]>,
<7, [ ], x + 2, [ -2, 0, -2, -4, 3, 7, 0, -4, 1, -9, 2, 8 ]>,
<8, [ ], x + 1, [ -1, 0, -1, 2, 0, -5, 0, -1, -1, 9, 8, 2 ]>,
<9, [ ], x - 1, [ 1, 0, 1, 2, 0, -5, 0, -1, 1, -9, 8, 2 ]>,
<10, [ ], x, [ 0, 0, 0, 4, 0, 2, 0, -1, 0, 0, -11, 1 ]>,
<11, [ ], x^2 + 6*x - 8, [ 0, 0, -1/2*x, 0, -a - 3, 3/2*a + 5, 0, -3/2*a - 2, 1/2*a + 9, a + 9, 0, 0 ]>,
<12, [ ], x^2 + 6*x - 8, [ 0, 0, 1/2*x, 0, a + 3, 3/2*a + 5, 0, -3/2*a - 2, -1/2*a - 9, -a - 9, 0, 0 ]>,
<13, [ ], x, [ 0, 0, 0, -4, 0, 2, 0, -1, 0, 0, 11, -1 ]>,
<14, [ ], x + 2, [ -2, 0, 4, -1, -6, 1, 0, -7, 4, 6, 8, -1 ]>,
<15, [ ], x - 2, [ 2, 0, -4, -1, 6, 1, 0, -7, -4, -6, 8, -1 ]>,
<16, [ ], x, [ 0, 0, -3, -2, 3, 2, 0, 5, 0, 3, -8, -8 ]>,
<17, [ ], x, [ 0, 0, 3, -2, -3, 2, 0, 5, 0, -3, -8, -8 ]>,
<18, [ ], x + 2, [ -2, 0, -2, -1, 0, 1, 0, -4, 4, 6, -1, -10 ]>,
<19, [ ], x - 2, [ 2, 0, 2, -1, 0, 1, 0, -4, -4, -6, -1, -10 ]>,
<20, [ ], x, [ 0, 0, 0, 5, 0, -7, 0, 8, 0, 0, -7, -10 ]>,
<21, [ ], x - 1, [ 1, 0, -4, -2, 3, -5, 0, 2, 8, 0, 10, -11 ]>,
<22, [ ], x + 1, [ -1, 0, 4, -2, -3, -5, 0, 2, -8, 0, 10, -11 ]>,
<23, [ ], x, [ 0, 0, 0, 1, 0, 5, 0, -7, 0, 0, 4, -11 ]>,
<24, [ ], x^2 - x - 1, [ x, 0, a + 1, 3*a, -2*a + 5, 2*a, 0, 3, -5*a + 4, 2*a + 5, -2*a - 1, -4*a + 6 ]>,
<25, [ ], x^2 + x - 1, [ x, 0, a - 1, -3*a, -2*a - 5, -2*a, 0, 3, -5*a - 4, 2*a - 5, 2*a - 1, 4*a + 6 ]>,
<26, [ ], x^2 - 2, [ x, 0, 4, 2*a, -5, 1, 0, 6, 1, 7, a, -8*a ]>,
<27, [ ], x^2 - 2, [ x, 0, -4, -2*a, 5, 1, 0, 6, -1, -7, -a, 8*a ]>,
<28, [ ], x^2 + x - 3, [ x, 0, a + 3, -a - 2, 3, -2*a - 4, 0, -1, a, 3, 2*a + 1, -4*a - 2 ]>,
<29, [ ], x^2 - x - 3, [ x, 0, a - 3, a - 2, -3, 2*a - 4, 0, -1, a, -3, -2*a + 1, 4*a - 2 ]>,
<30, [ ], x^6 - 11*x^4 + 31*x^2 - 18, [ x, 0, -1/3*a^5 + 8/3*a^3 - 10/3*a, a^2 - 3, 1/3*a^5 - 8/3*a^3 + 13/3*a, -a^4 + 7*a^2 - 7, 0, 1, 1/3*a^5 - 11/3*a^3 + 28/3*a, -1/3*a^5 + 14/3*a^3 - 43/3*a, -a^4 + 9*a^2 - 12, -a^4 + 9*a^2 - 9 ]>,
<31, [ ], x^6 - 10*x^4 + 22*x^2 - 4, [ x, 0, 1/2*a^5 - 5*a^3 + 10*a, -1/2*a^4 + 3*a^2 - 2, 1/2*a^5 - 4*a^3 + 5*a, 1/2*a^4 - 4*a^2 + 6, 0, -1/2*a^4 + 3*a^2 + 1, 1/2*a^5 - 5*a^3 + 13*a, 3/2*a^5 - 13*a^3 + 22*a, -2*a^2 + 7, -1/2*a^4 + 5*a^2 - 7 ]>,
<32, [ ], x^3 - 84*x + 296, [ 0, 0, 0, -1/2*x, 0, 11/4*a^2 + 29/2*a - 154, 0, 9/4*a^2 + 25/2*a - 126, 0, 0, -2*a^2 - 23/2*a + 112, 1/2*a^2 + 3/2*a - 28 ]>,
<33, [ ], x^3 - 21*x - 37, [ 0, 0, 0, -x, 0, 11*a^2 - 29*a - 154, 0, 9*a^2 - 25*a - 126, 0, 0, 8*a^2 - 23*a - 112, -2*a^2 + 3*a + 28 ]>,
<34, [ ], x^6 - 10*x^4 + 22*x^2 - 4, [ x, 0, -1/2*a^5 + 5*a^3 - 10*a, 1/2*a^4 - 3*a^2 + 2, -1/2*a^5 + 4*a^3 - 5*a, 1/2*a^4 - 4*a^2 + 6, 0, -1/2*a^4 + 3*a^2 + 1, -1/2*a^5 + 5*a^3 - 13*a, -3/2*a^5 + 13*a^3 - 22*a, 2*a^2 - 7, 1/2*a^4 - 5*a^2 + 7 ]>,
<35, [ ], x^3 - x^2 - 7*x + 9, [ x, 0, a^2 - 6, -a^2 - 2*a + 7, 2*a^2 + 2*a - 12, -2*a^2 - 2*a + 11, 0, a^2 + 2*a - 4, -2*a^2 + 9, -a^2 + 6, -2*a^2 + 10, -a^2 + 1 ]>,
<36, [ ], x^3 + x^2 - 7*x - 9, [ x, 0, -a^2 + 6, -a^2 + 2*a + 7, -2*a^2 + 2*a + 12, -2*a^2 + 2*a + 11, 0, a^2 - 2*a - 4, 2*a^2 - 9, a^2 - 6, -2*a^2 + 10, -a^2 + 1 ]>,
<37, [ ], x^6 - 11*x^4 + 31*x^2 - 18, [ x, 0, 1/3*a^5 - 8/3*a^3 + 10/3*a, -a^2 + 3, -1/3*a^5 + 8/3*a^3 - 13/3*a, -a^4 + 7*a^2 - 7, 0, 1, -1/3*a^5 + 11/3*a^3 - 28/3*a, 1/3*a^5 - 14/3*a^3 + 43/3*a, a^4 - 9*a^2 + 12, a^4 - 9*a^2 + 9 ]>,
<38, [ ], x^4 - 8*x^2 + 13, [ x, 0, -a^2 + 4, -a^3 + 5*a, -2, 2*a^2 - 9, 0, 3*a^2 - 14, -2*a^2 + 13, a^2 - 4, -4*a, 3*a^3 - 13*a ]>,
<39, [ ], x^4 - 8*x^2 + 13, [ x, 0, a^2 - 4, a^3 - 5*a, 2, 2*a^2 - 9, 0, 3*a^2 - 14, 2*a^2 - 13, -a^2 + 4, 4*a, -3*a^3 + 13*a ]>,
<40, [ ], x^5 + 3*x^4 - 5*x^3 - 19*x^2 - 6*x + 9, [ x, 0, a^4 + a^3 - 7*a^2 - 5*a + 6, -2*a^4 - 3*a^3 + 14*a^2 + 16*a - 10, 2*a^4 + 3*a^3 - 15*a^2 - 16*a + 12, a^4 + a^3 - 8*a^2 - 7*a + 8, 0, -a^4 - a^3 + 7*a^2 + 4*a - 7, 3*a^4 + 4*a^3 - 20*a^2 - 22*a + 9, a^3 - 4*a + 3, -4*a^4 - 6*a^3 + 28*a^2 + 31*a - 22, -a^4 - a^3 + 7*a^2 + 5*a - 4 ]>,
<41, [ ], x^5 - 3*x^4 - 5*x^3 + 19*x^2 - 6*x - 9, [ x, 0, -a^4 + a^3 + 7*a^2 - 5*a - 6, -2*a^4 + 3*a^3 + 14*a^2 - 16*a - 10, -2*a^4 + 3*a^3 + 15*a^2 - 16*a - 12, a^4 - a^3 - 8*a^2 + 7*a + 8, 0, -a^4 + a^3 + 7*a^2 - 4*a - 7, -3*a^4 + 4*a^3 + 20*a^2 - 22*a - 9, a^3 - 4*a - 3, -4*a^4 + 6*a^3 + 28*a^2 - 31*a - 22, -a^4 + a^3 + 7*a^2 - 5*a - 4 ]>,
<42, [ ], x^5 - 3*x^4 - 5*x^3 + 19*x^2 - 6*x - 9, [ x, 0, a^4 - a^3 - 7*a^2 + 5*a + 6, 2*a^4 - 3*a^3 - 14*a^2 + 16*a + 10, 2*a^4 - 3*a^3 - 15*a^2 + 16*a + 12, a^4 - a^3 - 8*a^2 + 7*a + 8, 0, -a^4 + a^3 + 7*a^2 - 4*a - 7, 3*a^4 - 4*a^3 - 20*a^2 + 22*a + 9, -a^3 + 4*a + 3, 4*a^4 - 6*a^3 - 28*a^2 + 31*a + 22, a^4 - a^3 - 7*a^2 + 5*a + 4 ]>,
<43, [ ], x^5 + 3*x^4 - 5*x^3 - 19*x^2 - 6*x + 9, [ x, 0, -a^4 - a^3 + 7*a^2 + 5*a - 6, 2*a^4 + 3*a^3 - 14*a^2 - 16*a + 10, -2*a^4 - 3*a^3 + 15*a^2 + 16*a - 12, a^4 + a^3 - 8*a^2 - 7*a + 8, 0, -a^4 - a^3 + 7*a^2 + 4*a - 7, -3*a^4 - 4*a^3 + 20*a^2 + 22*a - 9, -a^3 + 4*a - 3, 4*a^4 + 6*a^3 - 28*a^2 - 31*a + 22, a^4 + a^3 - 7*a^2 - 5*a + 4 ]>,
<44, [ ], x^12 - 18*x^10 + 115*x^8 - 318*x^6 + 395*x^4 - 208*x^2 + 34, [ x, 0, -17/33*a^11 + 290/33*a^9 - 1684/33*a^7 + 3856/33*a^5 - 298/3*a^3 + 808/33*a, 16/33*a^10 - 271/33*a^8 + 1550/33*a^6 - 3404/33*a^4 + 230/3*a^2 - 413/33, -2/33*a^11 + 38/33*a^9 - 268/33*a^7 + 871/33*a^5 - 118/3*a^3 + 625/33*a, 1/11*a^10 - 19/11*a^8 + 123/11*a^6 - 309/11*a^4 + 23*a^2 - 43/11, 0, 4/11*a^10 - 65/11*a^8 + 349/11*a^6 - 675/11*a^4 + 30*a^2 + 37/11, 1/33*a^11 - 19/33*a^9 + 134/33*a^7 - 452/33*a^5 + 74/3*a^3 - 626/33*a, 1/33*a^11 - 19/33*a^9 + 134/33*a^7 - 452/33*a^5 + 71/3*a^3 - 461/33*a, 32/33*a^10 - 542/33*a^8 + 3100/33*a^6 - 6841/33*a^4 + 475/3*a^2 - 826/33, -49/33*a^10 + 832/33*a^8 - 4784/33*a^6 + 10730/33*a^4 - 797/3*a^2 + 1931/33 ]>,
<45, [ ], x^12 - 15*x^10 + 81*x^8 - 190*x^6 + 189*x^4 - 72*x^2 + 9, [ x, 0, -1/3*a^11 + 5*a^9 - 27*a^7 + 190/3*a^5 - 62*a^3 + 19*a, -a^2 + 2, -8/3*a^11 + 39*a^9 - 202*a^7 + 1310/3*a^5 - 356*a^3 + 74*a, -1/3*a^10 + 5*a^8 - 26*a^6 + 163/3*a^4 - 41*a^2 + 8, 0, a^10 - 15*a^8 + 79*a^6 - 173*a^4 + 147*a^2 - 34, 4/3*a^11 - 19*a^9 + 96*a^7 - 610/3*a^5 + 165*a^3 - 37*a, 20/3*a^11 - 98*a^9 + 510*a^7 - 3326/3*a^5 + 915*a^3 - 193*a, a^10 - 14*a^8 + 70*a^6 - 150*a^4 + 131*a^2 - 34, 2/3*a^10 - 10*a^8 + 53*a^6 - 350/3*a^4 + 98*a^2 - 25 ]>,
<46, [ ], x^12 - 15*x^10 + 81*x^8 - 190*x^6 + 189*x^4 - 72*x^2 + 9, [ x, 0, 1/3*a^11 - 5*a^9 + 27*a^7 - 190/3*a^5 + 62*a^3 - 19*a, a^2 - 2, 8/3*a^11 - 39*a^9 + 202*a^7 - 1310/3*a^5 + 356*a^3 - 74*a, -1/3*a^10 + 5*a^8 - 26*a^6 + 163/3*a^4 - 41*a^2 + 8, 0, a^10 - 15*a^8 + 79*a^6 - 173*a^4 + 147*a^2 - 34, -4/3*a^11 + 19*a^9 - 96*a^7 + 610/3*a^5 - 165*a^3 + 37*a, -20/3*a^11 + 98*a^9 - 510*a^7 + 3326/3*a^5 - 915*a^3 + 193*a, -a^10 + 14*a^8 - 70*a^6 + 150*a^4 - 131*a^2 + 34, -2/3*a^10 + 10*a^8 - 53*a^6 + 350/3*a^4 - 98*a^2 + 25 ]>,
<47, [ ], x^12 - 18*x^10 + 115*x^8 - 318*x^6 + 395*x^4 - 208*x^2 + 34, [ x, 0, 17/33*a^11 - 290/33*a^9 + 1684/33*a^7 - 3856/33*a^5 + 298/3*a^3 - 808/33*a, -16/33*a^10 + 271/33*a^8 - 1550/33*a^6 + 3404/33*a^4 - 230/3*a^2 + 413/33, 2/33*a^11 - 38/33*a^9 + 268/33*a^7 - 871/33*a^5 + 118/3*a^3 - 625/33*a, 1/11*a^10 - 19/11*a^8 + 123/11*a^6 - 309/11*a^4 + 23*a^2 - 43/11, 0, 4/11*a^10 - 65/11*a^8 + 349/11*a^6 - 675/11*a^4 + 30*a^2 + 37/11, -1/33*a^11 + 19/33*a^9 - 134/33*a^7 + 452/33*a^5 - 74/3*a^3 + 626/33*a, -1/33*a^11 + 19/33*a^9 - 134/33*a^7 + 452/33*a^5 - 71/3*a^3 + 461/33*a, -32/33*a^10 + 542/33*a^8 - 3100/33*a^6 + 6841/33*a^4 - 475/3*a^2 + 826/33, 49/33*a^10 - 832/33*a^8 + 4784/33*a^6 - 10730/33*a^4 + 797/3*a^2 - 1931/33 ]>,
<48, [ ], x^18 - 36*x^16 + 549*x^14 - 4621*x^12 + 23445*x^10 - 73524*x^8 + 140584*x^6 - 155406*x^4 + 87861*x^2 - 18397, [ x, 0, 487/32059*a^17 - 16012/32059*a^15 + 217058/32059*a^13 - 1566176/32059*a^11 + 6478822/32059*a^9 - 15410760/32059*a^7 + 19989295/32059*a^5 - 12339463/32059*a^3 + 2526165/32059*a, 30873/128236*a^16 - 949305/128236*a^14 + 5981541/64118*a^12 - 79798039/128236*a^10 + 76029804/32059*a^8 - 167043417/32059*a^6 + 203451091/32059*a^4 - 245581627/64118*a^2 + 107355079/128236, 2025/64118*a^17 - 63749/64118*a^15 + 412502/32059*a^13 - 5666621/64118*a^11 + 11137686/32059*a^9 - 25233442/32059*a^7 + 31616909/32059*a^5 - 19702151/32059*a^3 + 9294785/64118*a, 1627/64118*a^16 - 22863/32059*a^14 + 256924/32059*a^12 - 2954083/64118*a^10 + 9272383/64118*a^8 - 15949177/64118*a^6 + 15024171/64118*a^4 - 7992497/64118*a^2 + 1036234/32059, 0, 4787/128236*a^16 - 161275/128236*a^14 + 1135651/64118*a^12 - 17287369/128236*a^10 + 19162685/32059*a^8 - 49633762/32059*a^6 + 71195920/32059*a^4 - 99313661/64118*a^2 + 47779037/128236, 2025/64118*a^17 - 63749/64118*a^15 + 412502/32059*a^13 - 5666621/64118*a^11 + 11137686/32059*a^9 - 25233442/32059*a^7 + 31616909/32059*a^5 - 19734210/32059*a^3 + 9615375/64118*a, 10421/64118*a^17 - 319261/64118*a^15 + 2001489/32059*a^13 - 26521111/64118*a^11 + 50091166/32059*a^9 - 108790152/32059*a^7 + 130514552/32059*a^5 - 77232136/32059*a^3 + 33175037/64118*a, -1321/32059*a^16 + 82587/64118*a^14 - 528673/32059*a^12 + 3582624/32059*a^10 - 27787867/64118*a^8 + 62432519/64118*a^6 - 78476871/64118*a^4 + 49304833/64118*a^2 - 11401659/64118, -59751/128236*a^16 + 1830581/128236*a^14 - 11470963/64118*a^12 + 151805373/128236*a^10 - 286050095/64118*a^8 + 619409677/64118*a^6 - 741992693/64118*a^4 + 220109046/32059*a^2 - 188630671/128236 ]>,
<49, [ ], x^18 - 36*x^16 + 549*x^14 - 4621*x^12 + 23445*x^10 - 73524*x^8 + 140584*x^6 - 155406*x^4 + 87861*x^2 - 18397, [ x, 0, -487/32059*a^17 + 16012/32059*a^15 - 217058/32059*a^13 + 1566176/32059*a^11 - 6478822/32059*a^9 + 15410760/32059*a^7 - 19989295/32059*a^5 + 12339463/32059*a^3 - 2526165/32059*a, -30873/128236*a^16 + 949305/128236*a^14 - 5981541/64118*a^12 + 79798039/128236*a^10 - 76029804/32059*a^8 + 167043417/32059*a^6 - 203451091/32059*a^4 + 245581627/64118*a^2 - 107355079/128236, -2025/64118*a^17 + 63749/64118*a^15 - 412502/32059*a^13 + 5666621/64118*a^11 - 11137686/32059*a^9 + 25233442/32059*a^7 - 31616909/32059*a^5 + 19702151/32059*a^3 - 9294785/64118*a, 1627/64118*a^16 - 22863/32059*a^14 + 256924/32059*a^12 - 2954083/64118*a^10 + 9272383/64118*a^8 - 15949177/64118*a^6 + 15024171/64118*a^4 - 7992497/64118*a^2 + 1036234/32059, 0, 4787/128236*a^16 - 161275/128236*a^14 + 1135651/64118*a^12 - 17287369/128236*a^10 + 19162685/32059*a^8 - 49633762/32059*a^6 + 71195920/32059*a^4 - 99313661/64118*a^2 + 47779037/128236, -2025/64118*a^17 + 63749/64118*a^15 - 412502/32059*a^13 + 5666621/64118*a^11 - 11137686/32059*a^9 + 25233442/32059*a^7 - 31616909/32059*a^5 + 19734210/32059*a^3 - 9615375/64118*a, -10421/64118*a^17 + 319261/64118*a^15 - 2001489/32059*a^13 + 26521111/64118*a^11 - 50091166/32059*a^9 + 108790152/32059*a^7 - 130514552/32059*a^5 + 77232136/32059*a^3 - 33175037/64118*a, 1321/32059*a^16 - 82587/64118*a^14 + 528673/32059*a^12 - 3582624/32059*a^10 + 27787867/64118*a^8 - 62432519/64118*a^6 + 78476871/64118*a^4 - 49304833/64118*a^2 + 11401659/64118, 59751/128236*a^16 - 1830581/128236*a^14 + 11470963/64118*a^12 - 151805373/128236*a^10 + 286050095/64118*a^8 - 619409677/64118*a^6 + 741992693/64118*a^4 - 220109046/32059*a^2 + 188630671/128236 ]>,
<50, [ ], x^10 - 16*x^8 + 86*x^6 - 170*x^4 + 73*x^2 - 8, [ x, 0, a^6 - 11*a^4 + 30*a^2 - 7, -1/2*a^9 + 7*a^7 - 31*a^5 + 45*a^3 - 11/2*a, a^8 - 11*a^6 + 28*a^4 + 5*a^2 - 3, 2*a^6 - 23*a^4 + 66*a^2 - 16, 0, a^8 - 11*a^6 + 28*a^4 + 4*a^2 - 3, -a^8 + 14*a^6 - 62*a^4 + 92*a^2 - 18, -a^6 + 11*a^4 - 28*a^2 + 1, -a^7 + 11*a^5 - 27*a^3 - 7*a, -a^3 + 7*a ]>,
<51, [ ], x^10 - 16*x^8 + 86*x^6 - 170*x^4 + 73*x^2 - 8, [ x, 0, -a^6 + 11*a^4 - 30*a^2 + 7, 1/2*a^9 - 7*a^7 + 31*a^5 - 45*a^3 + 11/2*a, -a^8 + 11*a^6 - 28*a^4 - 5*a^2 + 3, 2*a^6 - 23*a^4 + 66*a^2 - 16, 0, a^8 - 11*a^6 + 28*a^4 + 4*a^2 - 3, a^8 - 14*a^6 + 62*a^4 - 92*a^2 + 18, a^6 - 11*a^4 + 28*a^2 - 1, a^7 - 11*a^5 + 27*a^3 + 7*a, a^3 - 7*a ]>,
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]>);