Using V. Kh. Salikhov's method to determine upper bounds for

 the linear independence measure of 1 ,log(a/(a+1)), log(b/(b+1)) for many p\

    airs of  integers 1<=a<b<, 100



                              By Shalosh B. Ekhad



In a beautiful paper, "On the Irrationality measure of log(3)",  that appear\
    ed in Doklady 2007, v. 417, no. 6, pp. 753-755

    the great number-theorist, V. Kh. Salikhov, proved the following theorem



Theorem (Salikhov): Suppose that q,p1,p2 are integers and Q=max(|p|,|q1|,|q2\
    |) Q>=Q0, where Q0 is a sufficiently large number

                    then |q+p1*log(2)+p2*log(3)|>1/Q^4.125



                      Let us make the following definition



Definition: Given two real constants, theta1, and theta2, nu is a LINEAR IND\
    EPENDENCE MEASURE of 1, theta1, theta2, if the following holds.

 Suppose that q,p1,p2 are integers and Q=max(|p|,|q1|,|q2|) Q>=Q0, where Q0 \
    is a sufficiently large number

                      then |q+p1*theta1+p2*theta2|>1/Q^nu

                      and nu is the smallest such number.



          Using this definition, Salikhov's theorem can be phrased as



                            nu(log(2),log(3))<=4.125



               In fact, Salikhov proved the equivalent statement



                          nu(log(2/3),log(3/4))<=4.125



In this article we will prove many such results for the pairs of irrational \
    numbers [log(a/(a+1)),log(b/(b+1))]

                                For 2<=a<b<=, N



                              A note about proofs:

                       Salikhov introduced the integrals



                             5
                            /   (2 n)   2      n   2      n
                           |   x      (x  - 25)  (x  - 49)
                  E1(n) =  |   ---------------------------- dx
                           |         2        (2 n + 1)
                          /        (x  - 1225)
                            0



                             7
                            /   (2 n)   2      n   2      n
                           |   x      (x  - 25)  (x  - 49)
                  E2(n) =  |   ---------------------------- dx
                           |         2        (2 n + 1)
                          /        (x  - 1225)
                            0





and then introduced THREE sequences of rational numbers A1(n), A2(n), B(n), \
    defined by

                          E1(n) = A1(n) + B(n) ln(3/4)



                          E2(n) = A2(n) + B(n) ln(2/3)



He then used calculus and saddle point to find constants , let's call them C\
    1, C2, C3, such that



                   |A1(n)|,|A2(n)|,|B(n)| are all OMEGA(C1^n)



                              E1(n)= OMEGA(1/C2^n)



                              E2(n)= OMEGA(1/C3^n)



We will use instead the fact that E1(n), E2(n) both satisfy a certain linear\
     third order linear recurrence with polynomial coefficients

                 obtained by the Almkvist-Zeilberger algorithm





-3457440000 (2 n + 1) (n + 2) (n + 1)

                         2
    (268962555456000000 n  + 1187917953264000000 n + 1206214725744000000) E1(n)

                                                4
     - 2 (n + 2) (5579531386414755840000000000 n

                                      3                                  2
     + 35801993062828016640000000000 n  + 61831898700299804160000000000 n

     - 7860844885537002240000000000 n - 63887057724292427520000000000)

                                                              4
    E1(n + 1) - (2 n + 3) (-60272887801745399961600000000000 n

                                          3
     - 447023917862945049715200000000000 n

                                           2
     - 1162610767983323356346880000000000 n

     - 1215865097147404904739840000000000 n - 395093069991319272652800000000000

    ) E1(n + 2) - 13829760000 (2 n + 5) (2 n + 3) (n + 3)

                         2
    (268962555456000000 n  + 649992842352000000 n + 287259327936000000)

    E1(n + 3) = 0



                       subject to the initial conditions



                                          373   2269         2269
E1(0) = -1/35 ln(2) + 1/70 ln(3), E1(1) = --- - ---- ln(2) + ---- ln(3),
                                          40     35           70

            25835759   13096801         13096801
    E1(2) = -------- - -------- ln(2) + -------- ln(3)
              480         35               70



                    and E2(n) satisfies the same recurrence



-3457440000 (2 n + 1) (n + 2) (n + 1)

                         2
    (268962555456000000 n  + 1187917953264000000 n + 1206214725744000000) E2(n)

                                                4
     - 2 (n + 2) (5579531386414755840000000000 n

                                      3                                  2
     + 35801993062828016640000000000 n  + 61831898700299804160000000000 n

     - 7860844885537002240000000000 n - 63887057724292427520000000000)

                                                              4
    E2(n + 1) - (2 n + 3) (-60272887801745399961600000000000 n

                                          3
     - 447023917862945049715200000000000 n

                                           2
     - 1162610767983323356346880000000000 n

     - 1215865097147404904739840000000000 n - 395093069991319272652800000000000

    ) E2(n + 2) - 13829760000 (2 n + 5) (2 n + 3) (n + 3)

                         2
    (268962555456000000 n  + 649992842352000000 n + 287259327936000000)

    E2(n + 3) = 0



                          but with initial conditions



                                                 2269         2269
E2(0) = -1/70 ln(3) + 1/70 ln(2), E2(1) = 92/7 - ---- ln(3) + ---- ln(2),
                                                  70           70

            6372355   13096801         13096801
    E2(2) = ------- - -------- ln(3) + -------- ln(2)
              84         70               70



Using the Poincare lemma, we get that up to polynomial corrections that disa\
    ppear at the wash, C1,C2,C3 can be gotten from

 the roots of the polynomial in N (the inidicial polynomial of the constant-\
    coefficients recurrence that is the leading term

                            of the above recurrence

  [0.0038819026112590140904, 0.0039744756807150140904, 8101.8749074269305441]

          So far, A1(n), A2(n), B(n) are sequences of rational numbers



                           It was easy to prove that



B(n)*lcm(1..2*n) are all integers (or rational numbers with bounded denomina\
    tors)



              Salikhov also also found integers K1, K2, such that



A1(n)*K1^n*lcm(1..2*n) are all integers (or rational numbers with bounded de\
    nominators)



A2(n)*K2^n*lcm(1..2*n) are all integers (or rational numbers with bounded de\
    nominators)



                           in his case it so happened

                              that K1=2, and K2=1



Since we need coefficients of the two constants log(3/4) and log(2/3) to be \
    the SAME, and we need to make all the sequences INTEGERS

                       Let K=lcm(K1,K2), in this case K=2



        Defining A1a(n)=A1(n)*lcm(1..2n)*K^n,  Ba(n)=B(n)*lcm(1..2n)*K^n



It follows that A1a(n),Ba(n) are two sequences of INTEGER sequences such tha\
    t



              |A1a(n)+Ba(n)*log(2/3)|=OMEGA(K^n*lcm(1..2n)*E1(n))



Since lcm(1..n)=OMEGA(e^n), and hence lcm(1..2n)=OMEGA(e^(2n)) it follows th\
    at



         |A1a(n)+Ba(n)*log(2/3)|=OMEGA(1/max(|A1a(n)|, |Ba(n)|)^delta1



             where delta1=-(log(C2)+log(K)+2)/(log(C1])+log(K)+2)



                                   Similarly



        Defining A2b(n)=A2(n)*lcm(1..2n)*K^n,  Ba(n)=B(n)*lcm(1..2n)*K^n

                                   note that



It follows that A2b(n),(and the same) Ba(n) are two sequences of INTEGER seq\
    uences such that



                  |A2b(n)+Bb(n)*log(3/4)|=K^n*lcm(1..2n)*E2(n)



Since lcm(1..n)=OMEGA(e^n), and hence lcm(1..2n)=OMEGA(e^(2n)) it follows th\
    at



        |A2b(n)+Bb(n)*log(3/4)|=OMEGA(1/max(|A2b(n)|, |Ba(n)|)^delta2)



              where delta2=-(log(C3)+log(K)+2)/(log(C1)+log(K)+2)





Finally, using Lemma 3 in Salikhov's paper, that is due to M. Hata (Acta Ari\
    th. 63(4), 335-349 (1993)),

 the desired nu(log(2/3),log(3/4)) is >= then 1/min(delta1,delta2)=,

    4.1249285655339069389



                          Now comes the GENERALIZATION



        Let a and b be positive integers larger than 1 and such that a<b

                                     Define



                     a
                    /   (2 n)   2            2 n   2            2 n
                   |   x      (x  - (2 a + 1) )  (x  - (2 b + 1) )
          E1(n) =  |   -------------------------------------------- dx
                   |        2            2          2 (2 n + 1)
                  /       (x  - (2 a + 1)  (2 b + 1) )
                    0



                     b
                    /   (2 n)   2            2 n   2            2 n
                   |   x      (x  - (2 a + 1) )  (x  - (2 b + 1) )
          E2(n) =  |   -------------------------------------------- dx
                   |        2            2          2 (2 n + 1)
                  /       (x  - (2 a + 1)  (2 b + 1) )
                    0



and let	introduce THREE sequences of rational numbers A1(n), A2(n), B(n), de\
    fined by

                                                   b
                         E1(n) = A1(n) + B(n) ln(-----)
                                                 b + 1



                                                   a
                         E2(n) = A2(n) + B(n) ln(-----)
                                                 a + 1



Everything goes verbatim, we get find the third-order operator annihilating \
    them, and find C1,C2,C3



the only thing that changes each time are the integers K1 and K2 that we con\
    fess we found empirically, but we are sure

                    can be left as exercises to the readers

then we make everything into integer sequences by mutiplying by lcm(1..2n)*l\
    cm(K1,K2)^n



For the sake of brevity, we will only list a,b, theta1=log(b/(b+1)), theta2=\
    log(a/(a+1)), K1, K2 (so the reader can confirm it)

                                 followed by nu

            and the polynomial in x whose roots give you C1, C2, C3

              This is enough for the reader to verify the claim.

                                  a=, 2, b=, 3

theta1 = ln(3/4), theta2 = ln(2/3), K1 = 2, K2 = 1, nu = 4.1249285655339069389,

              3          2
    pol = -8 x  + 64815 x  - 6 x - 1

                                  a=, 2, b=, 5

theta1 = ln(5/6), theta2 = ln(2/3), K1 = 5, K2 = 1, nu = 55.941247779535379793,

              3           2
    pol = -5 x  + 100446 x  + 1947 x - 4

                                  a=, 3, b=, 4

theta1 = ln(4/5), theta2 = ln(3/4), K1 = 5, K2 = 3, nu = 10.788294108992730816,

               3           2
    pol = -15 x  + 397469 x  - 461 x - 1

                                  a=, 3, b=, 5

theta1 = ln(5/6), theta2 = ln(3/4), K1 = 5, K2 = 2, nu = 10.704041811250345047,

               3            2
    pol = -40 x  + 1585511 x  + 2666 x - 9

                                  a=, 3, b=, 6

theta1 = ln(6/7), theta2 = ln(3/4), K1 = 7, K2 = 2, nu = 36.227854360957746655,

               3            2
    pol = -56 x  + 3102711 x  + 15546 x - 25

                                  a=, 3, b=, 8

theta1 = ln(8/9), theta2 = ln(3/4), K1 = 6, K2 = 1, nu = 31.040697580115664837,

               3            2
    pol = -24 x  + 2275799 x  + 29594 x - 25

                                  a=, 4, b=, 5

theta1 = ln(5/6), theta2 = ln(4/5), K1 = 3, K2 = 2, nu = 5.4403434932235883554,

               3            2
    pol = -24 x  + 1576847 x  - 1622 x - 1

                                  a=, 4, b=, 9

theta1 = ln(9/10), theta2 = ln(4/5), K1 = 9, K2 = 2, nu = 57.956353275809896741,

               3             2
    pol = -72 x  + 14139455 x  + 70426 x - 49

                                  a=, 5, b=, 6

theta1 = ln(6/7), theta2 = ln(5/6), K1 = 7, K2 = 5, nu = 13.041517998646750740,

               3            2
    pol = -35 x  + 4808229 x  - 3921 x - 1

                                  a=, 5, b=, 8

theta1 = ln(8/9), theta2 = ln(5/6), K1 = 12, K2 = 5, nu = 31.052538167888739762,

                3             2
    pol = -240 x  + 56428271 x  + 30866 x - 49

                                  a=, 5, b=, 9

theta1 = ln(9/10), theta2 = ln(5/6), K1 = 3, K2 = 1, nu = 4.9896879526020883125,

              3           2
    pol = -3 x  + 881285 x  + 1199 x - 1

                                 a=, 5, b=, 10

            10
theta1 = ln(--), theta2 = ln(5/6), K1 = 11, K2 = 3, nu = 45.300681254040553317,
            11

               3             2
    pol = -33 x  + 11844410 x  + 26599 x - 16

                                 a=, 5, b=, 14

            14
theta1 = ln(--), theta2 = ln(5/6), K1 = 7, K2 = 1, nu = 16.608088721664901513,
            15

              3            2
    pol = -7 x  + 4793045 x  + 31211 x - 9

                                 a=, 5, b=, 15

            15
theta1 = ln(--), theta2 = ln(5/6), K1 = 8, K2 = 1, nu = 23.611202169941364140,
            16

               3             2
    pol = -32 x  + 25038735 x  + 194466 x - 49

                                  a=, 6, b=, 7

theta1 = ln(7/8), theta2 = ln(6/7), K1 = 4, K2 = 3, nu = 6.2510325549264293678,

               3             2
    pol = -48 x  + 12277535 x  - 7886 x - 1

                                  a=, 6, b=, 8

theta1 = ln(8/9), theta2 = ln(6/7), K1 = 12, K2 = 7, nu = 20.660306931732250594,

                3              2
    pol = -336 x  + 110425031 x  - 31294 x - 25

                                  a=, 6, b=, 9

theta1 = ln(9/10), theta2 = ln(6/7), K1 = 15, K2 = 7,

                                            3             2
    nu = 30.810427599944294094, pol = -105 x  + 43114874 x  + 5999 x - 16

                                 a=, 6, b=, 13

            13
theta1 = ln(--), theta2 = ln(6/7), K1 = 13, K2 = 3, nu = 61.406156456180460187,
            14

               3             2
    pol = -39 x  + 32353829 x  + 72139 x - 25

                                 a=, 6, b=, 14

            14
theta1 = ln(--), theta2 = ln(6/7), K1 = 5, K2 = 1, nu = 8.0363506960312935053,
            15

              3            2
    pol = -5 x  + 4785486 x  + 13611 x - 4

                                 a=, 6, b=, 20

            20
theta1 = ln(--), theta2 = ln(6/7), K1 = 10, K2 = 1, nu = 31.673122344091398439,
            21

               3             2
    pol = -40 x  + 76537439 x  + 561914 x - 81

                                 a=, 6, b=, 21

            21
theta1 = ln(--), theta2 = ln(6/7), K1 = 11, K2 = 1, nu = 49.057258359600531192,
            22

               3             2
    pol = -11 x  + 23151741 x  + 190551 x - 25

                                  a=, 7, b=, 8

theta1 = ln(8/9), theta2 = ln(7/8), K1 = 9, K2 = 7, nu = 14.530201060244385058,

               3             2
    pol = -63 x  + 27579005 x  - 14141 x - 1

                                 a=, 7, b=, 13

            13
theta1 = ln(--), theta2 = ln(7/8), K1 = 13, K2 = 4, nu = 25.765821801400183712,
            14

                3              2
    pol = -208 x  + 229844495 x  + 209394 x - 81

                                 a=, 7, b=, 14

            14
theta1 = ln(--), theta2 = ln(7/8), K1 = 15, K2 = 4, nu = 51.496255933050286188,
            15

                3              2
    pol = -240 x  + 305968679 x  + 387298 x - 121

                                 a=, 7, b=, 20

            20
theta1 = ln(--), theta2 = ln(7/8), K1 = 15, K2 = 2, nu = 159.11926430420608406,
            21

                3              2
    pol = -120 x  + 305847431 x  + 1173082 x - 169

                                  a=, 8, b=, 9

theta1 = ln(9/10), theta2 = ln(8/9), K1 = 5, K2 = 4, nu = 6.8399309718593977725,

               3             2
    pol = -80 x  + 56220639 x  - 23406 x - 1

                                 a=, 8, b=, 11

            11
theta1 = ln(--), theta2 = ln(8/9), K1 = 11, K2 = 6, nu = 11.432151980752560506,
            12

                3              2
    pol = -264 x  + 271947959 x  - 26326 x - 25

                                 a=, 8, b=, 12

            12
theta1 = ln(--), theta2 = ln(8/9), K1 = 13, K2 = 6, nu = 14.121834034105868543,
            13

                3              2
    pol = -312 x  + 379754495 x  + 36266 x - 49

                                 a=, 8, b=, 15

            15
theta1 = ln(--), theta2 = ln(8/9), K1 = 10, K2 = 3, nu = 12.983848098760281812,
            16

                3              2
    pol = -120 x  + 224622911 x  + 169706 x - 49

                                 a=, 8, b=, 17

            17
theta1 = ln(--), theta2 = ln(8/9), K1 = 17, K2 = 4, nu = 64.458823632806582330,
            18

                3              2
    pol = -272 x  + 649063095 x  + 816546 x - 169

                                 a=, 8, b=, 18

            18
theta1 = ln(--), theta2 = ln(8/9), K1 = 19, K2 = 4, nu = 413.75256688899340065,
            19

                3              2
    pol = -304 x  + 810720959 x  + 1238834 x - 225

                                 a=, 9, b=, 10

            10
theta1 = ln(--), theta2 = ln(9/10), K1 = 11, K2 = 9, nu = 15.643826826363008390,
            11

               3              2
    pol = -99 x  + 106207397 x  - 36497 x - 1

                                 a=, 9, b=, 11

            11
theta1 = ln(--), theta2 = ln(9/10), K1 = 22, K2 = 15,
            12

                                             3               2
    nu = 101.34493918473244458, pol = -1320 x  + 1698890111 x  - 413254 x - 49

                                 a=, 9, b=, 12

            12
theta1 = ln(--), theta2 = ln(9/10), K1 = 26, K2 = 15,
            13

                                             3               2
    nu = 138.95108755263204522, pol = -1560 x  + 2372369879 x  - 292582 x - 121

                                 a=, 9, b=, 14

            14
theta1 = ln(--), theta2 = ln(9/10), K1 = 7, K2 = 3, nu = 6.9869707389061362379,
            15

               3             2
    pol = -21 x  + 42978638 x  + 6587 x - 4

                                 a=, 9, b=, 15

            15
theta1 = ln(--), theta2 = ln(9/10), K1 = 8, K2 = 3, nu = 8.3231046569772020169,
            16

               3              2
    pol = -96 x  + 224519207 x  + 68594 x - 25

                                 a=, 9, b=, 17

            17
theta1 = ln(--), theta2 = ln(9/10), K1 = 17, K2 = 5, nu = 31.579630292669678979,
            18

               3              2
    pol = -85 x  + 253423214 x  + 160763 x - 36

                                 a=, 9, b=, 18

            18
theta1 = ln(--), theta2 = ln(9/10), K1 = 19, K2 = 5, nu = 56.163372784759275159,
            19

               3              2
    pol = -95 x  + 316541661 x  + 256611 x - 49

                                 a=, 9, b=, 20

            20
theta1 = ln(--), theta2 = ln(9/10), K1 = 14, K2 = 3, nu = 23.498491931905353766,
            21

                3              2
    pol = -168 x  + 687385655 x  + 816074 x - 121

                                 a=, 9, b=, 24

            24
theta1 = ln(--), theta2 = ln(9/10), K1 = 20, K2 = 3, nu = 395.37136420882337638,
            25

                3               2
    pol = -240 x  + 1402660991 x  + 2859698 x - 289

                                 a=, 9, b=, 35

            35
theta1 = ln(--), theta2 = ln(9/10), K1 = 14, K2 = 1, nu = 33.188089401605715680,
            36

               3              2
    pol = -56 x  + 687203943 x  + 3499482 x - 169

                                 a=, 10, b=, 11

            11               10
theta1 = ln(--), theta2 = ln(--), K1 = 6, K2 = 5, nu = 7.3034298898718713812,
            12               11

                3              2
    pol = -120 x  + 188702159 x  - 54326 x - 1

                                 a=, 10, b=, 14

            14               10
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 11, nu = 23.288587805559859507,
            15               11

                3              2
    pol = -231 x  + 577629797 x  - 20021 x - 25

                                 a=, 10, b=, 15

            15               10
theta1 = ln(--), theta2 = ln(--), K1 = 24, K2 = 11, nu = 35.684746435942138302,
            16               11

                 3               2
    pol = -1056 x  + 3017521943 x  + 206482 x - 169

                                 a=, 10, b=, 21

            21               10
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 5, nu = 67.087381041034259242,
            22               11

                3              2
    pol = -105 x  + 577380026 x  + 465631 x - 64

                                 a=, 10, b=, 22

            22               10
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 5, nu = 211.30487119709619035,
            23               11

                3              2
    pol = -115 x  + 692572469 x  + 656703 x - 81

                                 a=, 10, b=, 44

            44               10
theta1 = ln(--), theta2 = ln(--), K1 = 18, K2 = 1, nu = 72.053905086693605046,
            45               11

               3               2
    pol = -72 x  + 1696321295 x  + 9363706 x - 289

                                 a=, 11, b=, 12

            12               11
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 11, nu = 16.534968673513475669,
            13               12

                3              2
    pol = -143 x  + 318764445 x  - 77901 x - 1

                                 a=, 11, b=, 15

            15               11
theta1 = ln(--), theta2 = ln(--), K1 = 20, K2 = 11, nu = 19.540505467755732398,
            16               12

                3               2
    pol = -880 x  + 3016761359 x  - 173326 x - 81

                                 a=, 11, b=, 21

            21               11
theta1 = ln(--), theta2 = ln(--), K1 = 7, K2 = 2, nu = 7.2290421176160893763,
            22               12

               3              2
    pol = -56 x  + 369430071 x  + 171066 x - 25

                                 a=, 11, b=, 22

            22               11
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 6, nu = 59.891141309145538675,
            23               12

                3               2
    pol = -552 x  + 3988211855 x  + 2245786 x - 289

                                 a=, 11, b=, 32

            32               11
theta1 = ln(--), theta2 = ln(--), K1 = 8, K2 = 1, nu = 9.2633172706245672106,
            33               12

               3              2
    pol = -32 x  + 482423055 x  + 855426 x - 49

                                 a=, 11, b=, 33

            33               11
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 2, nu = 31.405678799984870769,
            34               12

                3               2
    pol = -136 x  + 2178421391 x  + 4173626 x - 225

                                 a=, 11, b=, 44

            44               11
theta1 = ln(--), theta2 = ln(--), K1 = 15, K2 = 1, nu = 25.184398634777158071,
            45               12

               3              2
    pol = -15 x  + 423973421 x  + 1592531 x - 49

                                 a=, 12, b=, 13

            13               12
theta1 = ln(--), theta2 = ln(--), K1 = 7, K2 = 6, nu = 7.6860245503195320326,
            14               13

                3              2
    pol = -168 x  + 516166895 x  - 108326 x - 1

                                 a=, 12, b=, 15

            15               12
theta1 = ln(--), theta2 = ln(--), K1 = 20, K2 = 13, nu = 22.009540931377759589,
            16               13

                 3               2
    pol = -1040 x  + 4212675951 x  - 514158 x - 49

                                 a=, 12, b=, 25

            25               12
theta1 = ln(--), theta2 = ln(--), K1 = 25, K2 = 6, nu = 69.373730681852176881,
            26               13

                3               2
    pol = -600 x  + 6579425639 x  + 3688378 x - 361

                                 a=, 12, b=, 26

            26               12
theta1 = ln(--), theta2 = ln(--), K1 = 9, K2 = 2, nu = 9.0460171610238811146,
            27               13

               3              2
    pol = -72 x  + 852677375 x  + 549146 x - 49

                                 a=, 12, b=, 38

            38               12
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 2, nu = 36.155455703753785709,
            39               13

                3               2
    pol = -152 x  + 3799729455 x  + 7076586 x - 289

                                 a=, 12, b=, 39

            39               12
theta1 = ln(--), theta2 = ln(--), K1 = 10, K2 = 1, nu = 11.246651801215910064,
            40               13

               3               2
    pol = -40 x  + 1052550719 x  + 2086778 x - 81

                                 a=, 12, b=, 51

            51               12
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 1, nu = 29.080437353526439449,
            52               13

               3              2
    pol = -17 x  + 760434450 x  + 2780031 x - 64

                                 a=, 13, b=, 14

            14               13
theta1 = ln(--), theta2 = ln(--), K1 = 15, K2 = 13, nu = 17.278623406292813134,
            15               14

                3              2
    pol = -195 x  + 806289509 x  - 146801 x - 1

                                 a=, 13, b=, 20

            20               13
theta1 = ln(--), theta2 = ln(--), K1 = 30, K2 = 13, nu = 39.263165974521316544,
            21               14

                 3                2
    pol = -1560 x  + 12895518191 x  + 904426 x - 289

                                 a=, 13, b=, 21

            21               13
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 13, nu = 79.078364989741750150,
            22               14

                3               2
    pol = -429 x  + 3900753614 x  + 477619 x - 100

                                 a=, 13, b=, 25

            25               13
theta1 = ln(--), theta2 = ln(--), K1 = 25, K2 = 7, nu = 40.863942186133767063,
            26               14

                3               2
    pol = -175 x  + 2238491069 x  + 787059 x - 81

                                 a=, 13, b=, 26

            26               13
theta1 = ln(--), theta2 = ln(--), K1 = 27, K2 = 7, nu = 62.986513934823346540,
            27               14

                3               2
    pol = -189 x  + 2610926414 x  + 1080259 x - 100

                                 a=, 14, b=, 15

            15               14
theta1 = ln(--), theta2 = ln(--), K1 = 8, K2 = 7, nu = 8.0119834555854647253,
            16               15

                3               2
    pol = -224 x  + 1221091647 x  - 194622 x - 1

                                 a=, 14, b=, 19

            19               14
theta1 = ln(--), theta2 = ln(--), K1 = 38, K2 = 21, nu = 76.861059518151060722,
            20               15

                 3                2
    pol = -3192 x  + 27543837935 x  - 1041014 x - 289

                                 a=, 14, b=, 20

            20               14
theta1 = ln(--), theta2 = ln(--), K1 = 2, K2 = 1, nu = 2.9403148712805727194,
            21               15

              3             2
    pol = -8 x  + 76295535 x  - 6 x - 1

                                 a=, 14, b=, 21

            21               14
theta1 = ln(--), theta2 = ln(--), K1 = 11, K2 = 5, nu = 7.8543014497210586640,
            22               15

               3              2
    pol = -55 x  + 576964181 x  + 22811 x - 9

                                 a=, 14, b=, 24

            24               14
theta1 = ln(--), theta2 = ln(--), K1 = 20, K2 = 7, nu = 17.537549957506309995,
            25               15

                3               2
    pol = -560 x  + 7628645751 x  + 1282818 x - 169

                                 a=, 14, b=, 27

            27               14
theta1 = ln(--), theta2 = ln(--), K1 = 18, K2 = 5, nu = 16.894152331041479505,
            28               15

                3               2
    pol = -360 x  + 6178849031 x  + 1916522 x - 169

                                 a=, 14, b=, 29

            29               14
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 7, nu = 71.390189759038894008,
            30               15

                3               2
    pol = -203 x  + 4009461405 x  + 1652439 x - 121

                                 a=, 14, b=, 30

            30               14
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 7, nu = 141.05009098757947473,
            31               15

                3               2
    pol = -217 x  + 4581503930 x  + 2131871 x - 144

                                 a=, 14, b=, 34

            34               14
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 3, nu = 18.064746259742127674,
            35               15

               3               2
    pol = -51 x  + 1377734453 x  + 954847 x - 49

                                 a=, 14, b=, 35

            35               14
theta1 = ln(--), theta2 = ln(--), K1 = 6, K2 = 1, nu = 6.2757919232672238885,
            36               15

               3              2
    pol = -24 x  + 686478263 x  + 517466 x - 25

                                 a=, 14, b=, 69

            69               14
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 1, nu = 53.769507467517829649,
            70               15

               3               2
    pol = -23 x  + 2521607685 x  + 9525819 x - 121

                                 a=, 15, b=, 16

            16               15
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 15, nu = 17.917179806397447019,
            17               16

                3               2
    pol = -255 x  + 1800161789 x  - 253181 x - 1

                                 a=, 15, b=, 19

            19               15
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 12, nu = 14.565566414977481159,
            20               16

                3               2
    pol = -912 x  + 8993014895 x  - 645614 x - 49

                                 a=, 15, b=, 20

            20               15
theta1 = ln(--), theta2 = ln(--), K1 = 7, K2 = 4, nu = 5.6962860763398168754,
            21               16

                3               2
    pol = -112 x  + 1220607575 x  - 52894 x - 9

                                 a=, 15, b=, 23

            23               15
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 10, nu = 16.833682286211253482,
            24               16

                3                2
    pol = -920 x  + 13176329991 x  + 683706 x - 169

                                 a=, 15, b=, 24

            24               15
theta1 = ln(--), theta2 = ln(--), K1 = 5, K2 = 2, nu = 4.7720707797389734799,
            25               16

               3              2
    pol = -40 x  + 622684871 x  + 53738 x - 9

                                 a=, 15, b=, 29

            29               15
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 8, nu = 44.644686510173964857,
            30               16

                3                2
    pol = -928 x  + 20945314055 x  + 5771954 x - 441

                                 a=, 15, b=, 30

            30               15
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 8, nu = 65.628660601587734253,
            31               16

                3                2
    pol = -992 x  + 23933648175 x  + 7581666 x - 529

                                 a=, 15, b=, 32

            32               15
theta1 = ln(--), theta2 = ln(--), K1 = 22, K2 = 5, nu = 23.964624190918629761,
            33               16

                3                2
    pol = -440 x  + 12053733711 x  + 4852362 x - 289

                                 a=, 15, b=, 35

            35               15
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 4, nu = 23.418323307633869996,
            36               16

                3                2
    pol = -336 x  + 10982563583 x  + 5928242 x - 289

                                 a=, 15, b=, 39

            39               15
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 2, nu = 11.966877420340916630,
            40               16

                3               2
    pol = -104 x  + 4208630487 x  + 3110538 x - 121

                                 a=, 15, b=, 80

            80               15
theta1 = ln(--), theta2 = ln(--), K1 = 27, K2 = 1, nu = 99.990797240061616010,
            81               16

               3               2
    pol = -27 x  + 4538229005 x  + 17808311 x - 169

                                 a=, 16, b=, 17

            17               16
theta1 = ln(--), theta2 = ln(--), K1 = 9, K2 = 8, nu = 8.2960285410260057859,
            18               17

                3               2
    pol = -288 x  + 2591845055 x  - 323966 x - 1

                                 a=, 16, b=, 33

            33               16
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 8, nu = 73.191321112227641967,
            34               17

                 3                2
    pol = -1056 x  + 34832123471 x  + 10996066 x - 625

                                 a=, 16, b=, 34

            34               16
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 8, nu = 129.30703258588980062,
            35               17

                 3                2
    pol = -1120 x  + 39181808231 x  + 13778226 x - 729

                                 a=, 17, b=, 18

            18               17
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 17, nu = 18.476956734794467459,
            19               18

                3               2
    pol = -323 x  + 3654448485 x  - 408561 x - 1

                                 a=, 17, b=, 26

            26               17
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 17, nu = 41.686775495810236310,
            27               18

                3                2
    pol = -663 x  + 15393429125 x  + 614459 x - 121

                                 a=, 17, b=, 27

            27               17
theta1 = ln(--), theta2 = ln(--), K1 = 42, K2 = 17, nu = 68.895401609413387337,
            28               18

                 3                2
    pol = -2856 x  + 71409726911 x  + 4552250 x - 625

                                 a=, 17, b=, 33

            33               17
theta1 = ln(--), theta2 = ln(--), K1 = 11, K2 = 3, nu = 8.4265407536467223240,
            34               18

               3               2
    pol = -33 x  + 1224483530 x  + 271319 x - 16

                                 a=, 17, b=, 34

            34               17
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 9, nu = 67.930832681929891455,
            35               18

                3                2
    pol = -315 x  + 12396525581 x  + 3102727 x - 169

                                 a=, 17, b=, 50

            50               17
theta1 = ln(--), theta2 = ln(--), K1 = 25, K2 = 3, nu = 31.616985379872874229,
            51               18

               3               2
    pol = -75 x  + 6324285629 x  + 5100983 x - 121

                                 a=, 17, b=, 51

            51               17
theta1 = ln(--), theta2 = ln(--), K1 = 26, K2 = 3, nu = 35.692778678709598354,
            52               18

                3                2
    pol = -312 x  + 27361320575 x  + 23191466 x - 529

                                 a=, 18, b=, 19

            19               18
theta1 = ln(--), theta2 = ln(--), K1 = 10, K2 = 9, nu = 8.5477764913853896321,
            20               19

                3               2
    pol = -360 x  + 5057524079 x  - 508646 x - 1

                                 a=, 18, b=, 26

            26               18
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 19, nu = 29.016412423718332961,
            27               19

                3                2
    pol = -741 x  + 19227368606 x  + 122651 x - 100

                                 a=, 18, b=, 27

            27               18
theta1 = ln(--), theta2 = ln(--), K1 = 42, K2 = 19, nu = 41.383198804904052891,
            28               19

                 3                2
    pol = -3192 x  + 89195274815 x  + 2281706 x - 529

                                 a=, 18, b=, 37

            37               18
theta1 = ln(--), theta2 = ln(--), K1 = 37, K2 = 9, nu = 74.817653048075868778,
            38               19

                3                2
    pol = -333 x  + 17303839310 x  + 4317619 x - 196

                                 a=, 18, b=, 38

            38               18
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 3, nu = 9.7533662974787601012,
            39               19

               3               2
    pol = -39 x  + 2136107429 x  + 587339 x - 25

                                 a=, 18, b=, 56

            56               18
theta1 = ln(--), theta2 = ln(--), K1 = 28, K2 = 3, nu = 39.141380145088783663,
            57               19

                3                2
    pol = -336 x  + 39635676911 x  + 32966066 x - 625

                                 a=, 18, b=, 57

            57               18
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 3, nu = 44.591929562653887122,
            58               19

               3                2
    pol = -87 x  + 10629318965 x  + 9229691 x - 169

                                 a=, 19, b=, 20

            20               19
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 19, nu = 18.975434081505294634,
            21               20

                3               2
    pol = -399 x  + 6883229597 x  - 625997 x - 1

                                 a=, 19, b=, 24

            24               19
theta1 = ln(--), theta2 = ln(--), K1 = 30, K2 = 19, nu = 21.923675219654121782,
            25               20

                 3                2
    pol = -2280 x  + 56182943639 x  - 2573558 x - 121

                                 a=, 19, b=, 37

            37               19
theta1 = ln(--), theta2 = ln(--), K1 = 37, K2 = 10, nu = 50.994496811316241828,
            38               20

                 3                2
    pol = -1480 x  + 85446896471 x  + 15545322 x - 729

                                 a=, 19, b=, 38

            38               19
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 10, nu = 69.968973546136907774,
            39               20

                 3                2
    pol = -1560 x  + 94933484039 x  + 19245754 x - 841

                                 a=, 19, b=, 75

            75               19
theta1 = ln(--), theta2 = ln(--), K1 = 15, K2 = 1, nu = 12.458359377619580504,
            76               20

               3               2
    pol = -15 x  + 3510561581 x  + 4584403 x - 49

                                 a=, 19, b=, 95

            95               19
theta1 = ln(--), theta2 = ln(--), K1 = 24, K2 = 1, nu = 26.382680204166450295,
            96               20

               3                2
    pol = -96 x  + 35947756463 x  + 78584962 x - 529

                                 a=, 20, b=, 21

            21               20
theta1 = ln(--), theta2 = ln(--), K1 = 11, K2 = 10, nu = 8.7738615210884801945,
            22               21

                3               2
    pol = -440 x  + 9227767119 x  - 762486 x - 1

                                 a=, 20, b=, 23

            23               20
theta1 = ln(--), theta2 = ln(--), K1 = 46, K2 = 35, nu = 257.04883644657231269,
            24               21

                 3                 2
    pol = -6440 x  + 161362043799 x  - 10643766 x - 121

                                 a=, 20, b=, 24

            24               20
theta1 = ln(--), theta2 = ln(--), K1 = 10, K2 = 7, nu = 7.1038496998605191752,
            25               21

                3               2
    pol = -280 x  + 7625621351 x  - 424582 x - 9

                                 a=, 20, b=, 27

            27               20
theta1 = ln(--), theta2 = ln(--), K1 = 9, K2 = 5, nu = 5.9600467944923541100,
            28               21

               3               2
    pol = -45 x  + 1544099846 x  - 30613 x - 4

                                 a=, 20, b=, 28

            28               20
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 15, nu = 15.288894767437709873,
            29               21

                3                2
    pol = -435 x  + 16031706581 x  - 106289 x - 49

                                 a=, 20, b=, 29

            29               20
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 14, nu = 15.285799651125605933,
            30               21

                 3                2
    pol = -1624 x  + 64125949103 x  + 452906 x - 225

                                 a=, 20, b=, 30

            30               20
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 14, nu = 17.868615366571246095,
            31               21

                 3                2
    pol = -1736 x  + 73275000783 x  + 1554042 x - 289

                                 a=, 20, b=, 34

            34               20
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 6, nu = 10.361388732707312223,
            35               21

                3                2
    pol = -408 x  + 22035011735 x  + 1803034 x - 121

                                 a=, 20, b=, 35

            35               20
theta1 = ln(--), theta2 = ln(--), K1 = 3, K2 = 1, nu = 3.6278245713989431816,
            36               21

              3              2
    pol = -3 x  + 171551525 x  + 16799 x - 1

                                 a=, 20, b=, 39

            39               20
theta1 = ln(--), theta2 = ln(--), K1 = 26, K2 = 7, nu = 19.311617547433499029,
            40               21

                3                2
    pol = -728 x  + 51540391815 x  + 8553594 x - 361

                                 a=, 20, b=, 41

            41               20
theta1 = ln(--), theta2 = ln(--), K1 = 41, K2 = 10, nu = 76.299647974734556507,
            42               21

                 3                 2
    pol = -1640 x  + 128163502959 x  + 25909914 x - 961

                                 a=, 20, b=, 42

            42               20
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 10, nu = 117.25759235061052881,
            43               21

                 3                 2
    pol = -1720 x  + 140971594511 x  + 31128842 x - 1089

                                 a=, 20, b=, 44

            44               20
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 7, nu = 36.190039668220447187,
            45               21

                3                2
    pol = -231 x  + 20756736293 x  + 5380907 x - 169

                                 a=, 20, b=, 48

            48               20
theta1 = ln(--), theta2 = ln(--), K1 = 28, K2 = 5, nu = 26.096025433368671285,
            49               21

                3                2
    pol = -560 x  + 59772505551 x  + 20358066 x - 529

                                 a=, 20, b=, 49

            49               20
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 6, nu = 50.290273119834366589,
            50               21

                3                2
    pol = -840 x  + 93394275239 x  + 33797962 x - 841

                                 a=, 20, b=, 55

            55               20
theta1 = ln(--), theta2 = ln(--), K1 = 22, K2 = 3, nu = 18.097960855310271537,
            56               21

                3                2
    pol = -264 x  + 36899755367 x  + 18368458 x - 361

                                 a=, 20, b=, 56

            56               20
theta1 = ln(--), theta2 = ln(--), K1 = 38, K2 = 5, nu = 94.113011224290321583,
            57               21

                3                 2
    pol = -760 x  + 110089143791 x  + 57446666 x - 1089

                                 a=, 20, b=, 69

            69               20
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 2, nu = 20.800757747256516098,
            70               21

                3                2
    pol = -184 x  + 40329727127 x  + 35112698 x - 441

                                 a=, 20, b=, 84

            84               20
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 1, nu = 13.867047980785488476,
            85               21

               3               2
    pol = -17 x  + 5508110130 x  + 7484511 x - 64

                                 a=, 20, b=, 90

            90               20
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 2, nu = 293.62536107164235811,
            91               21

                3                 2
    pol = -312 x  + 115955853815 x  + 183223226 x - 1369

                                 a=, 21, b=, 22

            22               21
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 21, nu = 19.424823857011463351,
            23               22

                3                2
    pol = -483 x  + 12202899365 x  - 920081 x - 1

                                 a=, 21, b=, 27

            27               21
theta1 = ln(--), theta2 = ln(--), K1 = 18, K2 = 11, nu = 10.163830141677298812,
            28               22

                3                2
    pol = -792 x  + 29892695135 x  - 975094 x - 49

                                 a=, 21, b=, 28

            28               21
theta1 = ln(--), theta2 = ln(--), K1 = 58, K2 = 33, nu = 126.61836949770208525,
            29               22

                 3                 2
    pol = -7656 x  + 310362648191 x  - 6773894 x - 625

                                 a=, 21, b=, 32

            32               21
theta1 = ln(--), theta2 = ln(--), K1 = 16, K2 = 7, nu = 8.7208967335603332176,
            33               22

                3                2
    pol = -448 x  + 23617440815 x  + 606914 x - 81

                                 a=, 21, b=, 33

            33               21
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 7, nu = 9.4248416281274837367,
            34               22

                3               2
    pol = -119 x  + 6665407269 x  + 256539 x - 25

                                 a=, 21, b=, 35

            35               21
theta1 = ln(--), theta2 = ln(--), K1 = 30, K2 = 11, nu = 19.041572478846011403,
            36               22

                 3                2
    pol = -1320 x  + 83027944199 x  + 5399594 x - 361

                                 a=, 21, b=, 41

            41               21
theta1 = ln(--), theta2 = ln(--), K1 = 41, K2 = 11, nu = 53.699189590891667045,
            42               22

                3                2
    pol = -451 x  + 38768061701 x  + 5892431 x - 225

                                 a=, 21, b=, 42

            42               21
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 11, nu = 71.796383351059544799,
            43               22

                3                2
    pol = -473 x  + 42642369690 x  + 7144239 x - 256

                                 a=, 21, b=, 44

            44               21
theta1 = ln(--), theta2 = ln(--), K1 = 30, K2 = 7, nu = 24.740245070321862402,
            45               22

                3                2
    pol = -840 x  + 83023951391 x  + 16566746 x - 529

                                 a=, 21, b=, 54

            54               21
theta1 = ln(--), theta2 = ln(--), K1 = 45, K2 = 7, nu = 343.21103699561117453,
            55               22

                3                2
    pol = -315 x  + 46699662509 x  + 17661479 x - 361

                                 a=, 21, b=, 55

            55               21
theta1 = ln(--), theta2 = ln(--), K1 = 20, K2 = 3, nu = 14.768948147870427278,
            56               22

                3                2
    pol = -240 x  + 36898424831 x  + 14678386 x - 289

                                 a=, 21, b=, 76

            76               21
theta1 = ln(--), theta2 = ln(--), K1 = 38, K2 = 3, nu = 93.267407842845111964,
            77               22

                3                 2
    pol = -456 x  + 133199899751 x  + 117998026 x - 1225

                                 a=, 21, b=, 77

            77               21
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 1, nu = 9.9390023418998135912,
            78               22

               3               2
    pol = -13 x  + 3897293390 x  + 3557459 x - 36

                                 a=, 21, b=, 98

            98               21
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 1, nu = 17.681097792476553758,
            99               22

               3                2
    pol = -21 x  + 10169752766 x  + 15835691 x - 100

                                 a=, 22, b=, 23

            23               22
theta1 = ln(--), theta2 = ln(--), K1 = 12, K2 = 11, nu = 8.9790565454494741399,
            24               23

                3                2
    pol = -528 x  + 15937543775 x  - 1100846 x - 1

                                 a=, 22, b=, 32

            32               22
theta1 = ln(--), theta2 = ln(--), K1 = 48, K2 = 23, nu = 32.206764858443954841,
            33               23

                 3                 2
    pol = -4416 x  + 254963968271 x  + 1821250 x - 625

                                 a=, 22, b=, 33

            33               22
theta1 = ln(--), theta2 = ln(--), K1 = 51, K2 = 23, nu = 43.338644234024874921,
            34               23

                 3                2
    pol = -1173 x  + 71956936430 x  + 1285339 x - 196

                                 a=, 22, b=, 45

            45               22
theta1 = ln(--), theta2 = ln(--), K1 = 45, K2 = 11, nu = 77.660621300286319546,
            46               23

                3                2
    pol = -495 x  + 56018026061 x  + 9361267 x - 289

                                 a=, 22, b=, 46

            46               22
theta1 = ln(--), theta2 = ln(--), K1 = 47, K2 = 11, nu = 113.91533863144219621,
            47               23

                3                2
    pol = -517 x  + 61107849710 x  + 11072331 x - 324

                                 a=, 23, b=, 24

            24               23
theta1 = ln(--), theta2 = ln(--), K1 = 25, K2 = 23, nu = 19.834000245928956729,
            25               24

                3                2
    pol = -575 x  + 20579444349 x  - 1306941 x - 1

                                 a=, 23, b=, 32

            32               23
theta1 = ln(--), theta2 = ln(--), K1 = 44, K2 = 23, nu = 24.680279139557027188,
            33               24

                 3                 2
    pol = -4048 x  + 254956972775 x  - 1675486 x - 441

                                 a=, 23, b=, 45

            45               23
theta1 = ln(--), theta2 = ln(--), K1 = 15, K2 = 4, nu = 9.2375513277235024838,
            46               24

                3                2
    pol = -240 x  + 29628556199 x  + 3817634 x - 121

                                 a=, 23, b=, 46

            46               23
theta1 = ln(--), theta2 = ln(--), K1 = 47, K2 = 12, nu = 73.451849465555771407,
            47               24

                 3                 2
    pol = -2256 x  + 290885584151 x  + 40949026 x - 1225

                                 a=, 23, b=, 68

            68               23
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 2, nu = 11.704136505747065799,
            69               24

                3                2
    pol = -136 x  + 38054522351 x  + 17452346 x - 225

                                 a=, 23, b=, 69

            69               23
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 4, nu = 38.637551573815123317,
            70               24

                3                 2
    pol = -560 x  + 161303607519 x  + 76727154 x - 961

                                 a=, 23, b=, 92

            92               23
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 2, nu = 31.067998695008191268,
            93               24

                3                 2
    pol = -248 x  + 126539132775 x  + 118041114 x - 841

                                 a=, 24, b=, 25

            25               24
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 12, nu = 9.1669117191940999846,
            26               25

                3                2
    pol = -624 x  + 26296921247 x  - 1540622 x - 1

                                 a=, 24, b=, 29

            29               24
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 20, nu = 17.008528843854142268,
            30               25

                 3                 2
    pol = -2320 x  + 130853711759 x  - 4917838 x - 81

                                 a=, 24, b=, 30

            30               24
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 20, nu = 17.361457210201460309,
            31               25

                 3                 2
    pol = -2480 x  + 149523024039 x  - 4628958 x - 121

                                 a=, 24, b=, 32

            32               24
theta1 = ln(--), theta2 = ln(--), K1 = 44, K2 = 25, nu = 26.256863214831481270,
            33               25

                 3                 2
    pol = -4400 x  + 301217883639 x  - 5011422 x - 361

                                 a=, 24, b=, 35

            35               24
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 10, nu = 9.6530351641665251699,
            36               25

                3                2
    pol = -840 x  + 68612444759 x  + 475562 x - 121

                                 a=, 24, b=, 39

            39               24
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 5, nu = 7.3796912446047897809,
            40               25

               3               2
    pol = -65 x  + 6573247314 x  + 272127 x - 16

                                 a=, 24, b=, 40

            40               24
theta1 = ln(--), theta2 = ln(--), K1 = 41, K2 = 15, nu = 27.257395083864595246,
            41               25

                3                2
    pol = -615 x  + 65382077861 x  + 3301483 x - 169

                                 a=, 24, b=, 44

            44               24
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 10, nu = 20.914516616513879049,
            45               25

                 3                 2
    pol = -1320 x  + 169422582911 x  + 15025658 x - 529

                                 a=, 24, b=, 49

            49               24
theta1 = ln(--), theta2 = ln(--), K1 = 49, K2 = 12, nu = 78.918741889397937304,
            50               25

                 3                 2
    pol = -2352 x  + 373532648135 x  + 52460386 x - 1369

                                 a=, 24, b=, 50

            50               24
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 4, nu = 10.294292914593052323,
            51               25

                3                2
    pol = -272 x  + 44960702775 x  + 6804066 x - 169

                                 a=, 24, b=, 74

            74               24
theta1 = ln(--), theta2 = ln(--), K1 = 37, K2 = 4, nu = 41.374361328261513878,
            75               25

                3                 2
    pol = -592 x  + 212972414495 x  + 99877586 x - 1089

                                 a=, 24, b=, 75

            75               24
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 2, nu = 12.854006285000225519,
            76               25

                3                2
    pol = -152 x  + 56159956815 x  + 27216426 x - 289

                                 a=, 24, b=, 99

            99                24
theta1 = ln(---), theta2 = ln(--), K1 = 33, K2 = 2, nu = 33.313717406048772525,
            100               25

                3                 2
    pol = -264 x  + 169411175567 x  + 155905658 x - 961

                                 a=, 25, b=, 26

            26               25
theta1 = ln(--), theta2 = ln(--), K1 = 27, K2 = 25, nu = 20.209618662102341895,
            27               26

                3                2
    pol = -675 x  + 33280698149 x  - 1804241 x - 1

                                 a=, 25, b=, 38

            38               25
theta1 = ln(--), theta2 = ln(--), K1 = 57, K2 = 25, nu = 45.231591217250075141,
            39               26

                 3                 2
    pol = -1425 x  + 148306558394 x  + 2655559 x - 256

                                 a=, 25, b=, 39

            39               25
theta1 = ln(--), theta2 = ln(--), K1 = 12, K2 = 5, nu = 6.7151592528804175394,
            40               26

                3                2
    pol = -240 x  + 26292427631 x  + 671698 x - 49

                                 a=, 25, b=, 49

            49               25
theta1 = ln(--), theta2 = ln(--), K1 = 49, K2 = 13, nu = 58.403041906372544300,
            50               26

                3                 2
    pol = -637 x  + 109593175550 x  + 12121011 x - 324

                                 a=, 25, b=, 50

            50               25
theta1 = ln(--), theta2 = ln(--), K1 = 51, K2 = 13, nu = 74.964458200090670093,
            51               26

                3                 2
    pol = -663 x  + 118721819765 x  + 14240059 x - 361

                                 a=, 25, b=, 64

            64               25
theta1 = ln(--), theta2 = ln(--), K1 = 32, K2 = 5, nu = 24.112143592862533518,
            65               26

                3                 2
    pol = -640 x  + 186955891751 x  + 49947858 x - 729

                                 a=, 25, b=, 65

            65               25
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 5, nu = 25.814693496011946811,
            66               26

                3                2
    pol = -165 x  + 49705741934 x  + 13861867 x - 196

                                 a=, 26, b=, 27

            27               26
theta1 = ln(--), theta2 = ln(--), K1 = 14, K2 = 13, nu = 9.3401404210214863899,
            28               27

                3                2
    pol = -728 x  + 41745807375 x  - 2100246 x - 1

                                 a=, 26, b=, 35

            35               26
theta1 = ln(--), theta2 = ln(--), K1 = 70, K2 = 39, nu = 96.968433346528012766,
            36               27

                  3                  2
    pol = -10920 x  + 1043553178799 x  - 12691366 x - 961

                                 a=, 26, b=, 36

            36               26
theta1 = ln(--), theta2 = ln(--), K1 = 74, K2 = 39, nu = 103.04840967199576308,
            37               27

                  3                  2
    pol = -11544 x  + 1166215582919 x  - 7103686 x - 1225

                                 a=, 26, b=, 38

            38               26
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 9, nu = 8.5672943585847442624,
            39               27

                3                2
    pol = -171 x  + 19220165021 x  + 126551 x - 25

                                 a=, 26, b=, 39

            39               26
theta1 = ln(--), theta2 = ln(--), K1 = 20, K2 = 9, nu = 9.1443695034583499412,
            40               27

                3                2
    pol = -720 x  + 85185848039 x  + 1121474 x - 121

                                 a=, 26, b=, 51

            51               26
theta1 = ln(--), theta2 = ln(--), K1 = 34, K2 = 9, nu = 21.036192175843710497,
            52               27

                 3                 2
    pol = -1224 x  + 246176272319 x  + 25329434 x - 625

                                 a=, 26, b=, 53

            53               26
theta1 = ln(--), theta2 = ln(--), K1 = 53, K2 = 13, nu = 80.088415694401295977,
            54               27

                3                 2
    pol = -689 x  + 149547136794 x  + 17898519 x - 400

                                 a=, 26, b=, 54

            54               26
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 13, nu = 109.74624595267986601,
            55               27

                3                 2
    pol = -715 x  + 161046326429 x  + 20658839 x - 441

                                 a=, 26, b=, 65

            65               26
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 9, nu = 254.27160238704095425,
            66               27

                3                 2
    pol = -495 x  + 161043545981 x  + 37310771 x - 529

                                 a=, 26, b=, 90

            90               26
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 3, nu = 30.735540946298036270,
            91               27

                3                2
    pol = -105 x  + 65214775034 x  + 34554719 x - 256

                                 a=, 27, b=, 28

            28               27
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 27, nu = 20.556800799703302238,
            29               28

                3                2
    pol = -783 x  + 51933572765 x  - 2431181 x - 1

                                 a=, 27, b=, 35

            35               27
theta1 = ln(--), theta2 = ln(--), K1 = 5, K2 = 3, nu = 4.1962191744226292551,
            36               28

               3               2
    pol = -15 x  + 1543691549 x  - 28237 x - 1

                                 a=, 27, b=, 36

            36               27
theta1 = ln(--), theta2 = ln(--), K1 = 37, K2 = 21, nu = 16.875275836128137511,
            37               28

                3                2
    pol = -777 x  + 84531944930 x  - 1107289 x - 64

                                 a=, 27, b=, 41

            41               27
theta1 = ln(--), theta2 = ln(--), K1 = 41, K2 = 18, nu = 19.214982526968854412,
            42               28

                 3                 2
    pol = -2952 x  + 415176547295 x  + 6341786 x - 529

                                 a=, 27, b=, 42

            42               27
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 18, nu = 21.650997422568338190,
            43               28

                 3                 2
    pol = -3096 x  + 456667448351 x  + 9754250 x - 625

                                 a=, 27, b=, 44

            44               27
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 21, nu = 41.533683922228488833,
            45               28

                 3                 2
    pol = -1155 x  + 186777694661 x  + 6330527 x - 289

                                 a=, 27, b=, 48

            48               27
theta1 = ln(--), theta2 = ln(--), K1 = 28, K2 = 9, nu = 14.233734618335208360,
            49               28

                 3                 2
    pol = -1008 x  + 193628777975 x  + 11685794 x - 361

                                 a=, 27, b=, 53

            53               27
theta1 = ln(--), theta2 = ln(--), K1 = 53, K2 = 14, nu = 60.468629181864677789,
            54               28

                 3                 2
    pol = -2968 x  + 693745370015 x  + 66571274 x - 1521

                                 a=, 27, b=, 54

            54               27
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 14, nu = 76.356545704802041960,
            55               28

                 3                 2
    pol = -3080 x  + 747089818719 x  + 77262618 x - 1681

                                 a=, 27, b=, 56

            56               27
theta1 = ln(--), theta2 = ln(--), K1 = 38, K2 = 9, nu = 25.482311166783942276,
            57               28

                 3                 2
    pol = -1368 x  + 356625946535 x  + 42322874 x - 841

                                 a=, 27, b=, 62

            62               27
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 6, nu = 19.320991723141200419,
            63               28

                3                 2
    pol = -744 x  + 237336747839 x  + 39683450 x - 625

                                 a=, 27, b=, 63

            63               27
theta1 = ln(--), theta2 = ln(--), K1 = 16, K2 = 3, nu = 9.4438832821700602891,
            64               28

                3                2
    pol = -192 x  + 63223856855 x  + 11108306 x - 169

                                 a=, 28, b=, 29

            29               28
theta1 = ln(--), theta2 = ln(--), K1 = 15, K2 = 14, nu = 9.5008633594607682636,
            30               29

                3                2
    pol = -840 x  + 64113670319 x  - 2799686 x - 1

                                 a=, 28, b=, 35

            35               28
theta1 = ln(--), theta2 = ln(--), K1 = 45, K2 = 29, nu = 25.728077638930326053,
            36               29

                 3                 2
    pol = -1305 x  + 144247206626 x  - 3287369 x - 64

                                 a=, 28, b=, 57

            57               28
theta1 = ln(--), theta2 = ln(--), K1 = 57, K2 = 14, nu = 81.181242294831230921,
            58               29

                 3                 2
    pol = -3192 x  + 925670747735 x  + 95538106 x - 1849

                                 a=, 28, b=, 58

            58               28
theta1 = ln(--), theta2 = ln(--), K1 = 59, K2 = 14, nu = 108.42730010313464643,
            59               29

                 3                 2
    pol = -3304 x  + 991768041479 x  + 109204074 x - 2025

                                 a=, 29, b=, 30

            30               29
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 29, nu = 20.879574513394409899,
            31               30

                3                2
    pol = -899 x  + 78586266597 x  - 3208497 x - 1

                                 a=, 29, b=, 35

            35               29
theta1 = ln(--), theta2 = ln(--), K1 = 42, K2 = 29, nu = 23.672968393332188961,
            36               30

                 3                 2
    pol = -4872 x  + 576980933255 x  - 14999734 x - 169

                                 a=, 29, b=, 39

            39               29
theta1 = ln(--), theta2 = ln(--), K1 = 52, K2 = 29, nu = 25.586603506947801160,
            40               30

                 3                 2
    pol = -6032 x  + 884419934415 x  - 8752974 x - 529

                                 a=, 29, b=, 44

            44               29
theta1 = ln(--), theta2 = ln(--), K1 = 66, K2 = 29, nu = 46.611278660187616703,
            45               30

                 3                  2
    pol = -7656 x  + 1424721131543 x  + 18782282 x - 1369

                                 a=, 29, b=, 45

            45               29
theta1 = ln(--), theta2 = ln(--), K1 = 69, K2 = 29, nu = 61.317289074921031703,
            46               30

                 3                 2
    pol = -2001 x  + 389294793722 x  + 7048919 x - 400

                                 a=, 29, b=, 57

            57               29
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 5, nu = 9.8484386118835507544,
            58               30

               3                2
    pol = -95 x  + 29517158301 x  + 2480547 x - 49

                                 a=, 29, b=, 58

            58               29
theta1 = ln(--), theta2 = ln(--), K1 = 59, K2 = 15, nu = 77.645630527653621223,
            59               30

                3                 2
    pol = -885 x  + 284623414046 x  + 25640491 x - 484

                                 a=, 29, b=, 86

            86               29
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 5, nu = 37.981165307350017888,
            87               30

                3                 2
    pol = -215 x  + 151179197109 x  + 44650299 x - 361

                                 a=, 29, b=, 87

            87               29
theta1 = ln(--), theta2 = ln(--), K1 = 44, K2 = 5, nu = 40.875505245127546516,
            88               30

                3                 2
    pol = -880 x  + 633169880879 x  + 192485138 x - 1521

                                 a=, 30, b=, 31

            31               30
theta1 = ln(--), theta2 = ln(--), K1 = 16, K2 = 15, nu = 9.6507700471636570269,
            32               31

                3                2
    pol = -960 x  + 95684234879 x  - 3660446 x - 1

                                 a=, 30, b=, 35

            35               30
theta1 = ln(--), theta2 = ln(--), K1 = 42, K2 = 31, nu = 24.662412566059865450,
            36               31

                 3                 2
    pol = -5208 x  + 659300624855 x  - 18576166 x - 121

                                 a=, 30, b=, 39

            39               30
theta1 = ln(--), theta2 = ln(--), K1 = 52, K2 = 31, nu = 26.833942268197319022,
            40               31

                 3                  2
    pol = -6448 x  + 1010602919015 x  - 14547166 x - 441

                                 a=, 30, b=, 44

            44               30
theta1 = ln(--), theta2 = ln(--), K1 = 66, K2 = 31, nu = 37.066546054674362584,
            45               31

                 3                  2
    pol = -8184 x  + 1627990593863 x  + 9399386 x - 1225

                                 a=, 30, b=, 45

            45               30
theta1 = ln(--), theta2 = ln(--), K1 = 69, K2 = 31, nu = 46.365137163032064636,
            46               31

                 3                 2
    pol = -2139 x  + 444836711117 x  + 4492583 x - 361

                                 a=, 30, b=, 61

            61               30
theta1 = ln(--), theta2 = ln(--), K1 = 61, K2 = 15, nu = 82.206682912455342271,
            62               31

                3                 2
    pol = -915 x  + 347653241141 x  + 31259551 x - 529

                                 a=, 30, b=, 62

            62               30
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 5, nu = 10.732114039180131358,
            63               31

                3                2
    pol = -105 x  + 41202597386 x  + 3936527 x - 64

                                 a=, 30, b=, 92

            92               30
theta1 = ln(--), theta2 = ln(--), K1 = 46, K2 = 5, nu = 43.158320577542315851,
            93               31

                3                 2
    pol = -920 x  + 790772557119 x  + 237683658 x - 1681

                                 a=, 30, b=, 93

            93               30
theta1 = ln(--), theta2 = ln(--), K1 = 47, K2 = 5, nu = 46.599993881398200352,
            94               31

                3                 2
    pol = -235 x  + 206381835389 x  + 63700439 x - 441

                                 a=, 31, b=, 32

            32               31
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 31, nu = 21.181163691520760215,
            33               32

                 3                 2
    pol = -1023 x  + 115775449085 x  - 4158461 x - 1

                                 a=, 31, b=, 61

            61               31
theta1 = ln(--), theta2 = ln(--), K1 = 61, K2 = 16, nu = 64.148950255976559554,
            62               32

                 3                  2
    pol = -3904 x  + 1582190810519 x  + 117402354 x - 2025

                                 a=, 31, b=, 62

            62               31
theta1 = ln(--), theta2 = ln(--), K1 = 63, K2 = 16, nu = 78.845720958113969625,
            63               32

                 3                  2
    pol = -4032 x  + 1687639490015 x  + 133617826 x - 2209

                                 a=, 32, b=, 33

            33               32
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 16, nu = 9.7912288665527735980,
            34               33

                 3                 2
    pol = -1088 x  + 139265155455 x  - 4705566 x - 1

                                 a=, 32, b=, 39

            39               32
theta1 = ln(--), theta2 = ln(--), K1 = 65, K2 = 44, nu = 55.401630602369735402,
            40               33

                  3                  2
    pol = -11440 x  + 2035884936359 x  - 41406142 x - 441

                                 a=, 32, b=, 43

            43               32
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 24, nu = 16.828261209861325634,
            44               33

                 3                 2
    pol = -4128 x  + 890954008535 x  - 7314446 x - 361

                                 a=, 32, b=, 44

            44               32
theta1 = ln(--), theta2 = ln(--), K1 = 15, K2 = 8, nu = 6.7495910617412342044,
            45               33

                3                 2
    pol = -480 x  + 108417451151 x  - 534718 x - 49

                                 a=, 32, b=, 47

            47               32
theta1 = ln(--), theta2 = ln(--), K1 = 47, K2 = 22, nu = 17.961497855165139334,
            48               33

                 3                  2
    pol = -4136 x  + 1064407482591 x  + 5720250 x - 625

                                 a=, 32, b=, 48

            48               32
theta1 = ln(--), theta2 = ln(--), K1 = 49, K2 = 22, nu = 19.821610829287345547,
            49               33

                 3                  2
    pol = -4312 x  + 1156919266775 x  + 10357466 x - 729

                                 a=, 32, b=, 54

            54               32
theta1 = ln(--), theta2 = ln(--), K1 = 45, K2 = 16, nu = 21.071093129971369162,
            55               33

                 3                 2
    pol = -2880 x  + 975729685559 x  + 30982898 x - 841

                                 a=, 32, b=, 55

            55               32
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 12, nu = 15.316567256432598678,
            56               33

                 3                 2
    pol = -1680 x  + 590255046671 x  + 21109522 x - 529

                                 a=, 32, b=, 63

            63               32
theta1 = ln(--), theta2 = ln(--), K1 = 42, K2 = 11, nu = 22.367007355666630942,
            64               33

                 3                 2
    pol = -1848 x  + 849956408495 x  + 59427914 x - 961

                                 a=, 32, b=, 65

            65               32
theta1 = ln(--), theta2 = ln(--), K1 = 65, K2 = 16, nu = 83.172619485478800560,
            66               33

                 3                  2
    pol = -4160 x  + 2035746541599 x  + 160893858 x - 2401

                                 a=, 32, b=, 66

            66               32
theta1 = ln(--), theta2 = ln(--), K1 = 67, K2 = 16, nu = 106.68203649068261875,
            67               33

                 3                  2
    pol = -4288 x  + 2162948077655 x  + 180994034 x - 2601

                                 a=, 32, b=, 87

            87               32
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 4, nu = 15.620075246190889607,
            88               33

                3                 2
    pol = -464 x  + 405215053359 x  + 79036050 x - 625

                                 a=, 33, b=, 34

            34               33
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 33, nu = 21.464191261816093354,
            35               34

                 3                 2
    pol = -1155 x  + 166598421989 x  - 5304881 x - 1

                                 a=, 33, b=, 43

            43               33
theta1 = ln(--), theta2 = ln(--), K1 = 86, K2 = 51, nu = 121.81680552935279534,
            44               34

                  3                  2
    pol = -17544 x  + 4023176850599 x  - 46695926 x - 1225

                                 a=, 33, b=, 44

            44               33
theta1 = ln(--), theta2 = ln(--), K1 = 30, K2 = 17, nu = 11.346155060303807714,
            45               34

                 3                 2
    pol = -2040 x  + 489568008551 x  - 4270054 x - 169

                                 a=, 33, b=, 50

            50               33
theta1 = ln(--), theta2 = ln(--), K1 = 25, K2 = 11, nu = 9.6631564912009839257,
            51               34

                3                2
    pol = -275 x  + 84992846901 x  + 859071 x - 49

                                 a=, 33, b=, 51

            51               33
theta1 = ln(--), theta2 = ln(--), K1 = 26, K2 = 11, nu = 10.156872416836875144,
            52               34

                 3                 2
    pol = -1144 x  + 367712128559 x  + 4950794 x - 225

                                 a=, 33, b=, 54

            54               33
theta1 = ln(--), theta2 = ln(--), K1 = 45, K2 = 17, nu = 19.435377268386841364,
            55               34

                3                 2
    pol = -765 x  + 275374278974 x  + 6571379 x - 196

                                 a=, 33, b=, 65

            65               33
theta1 = ln(--), theta2 = ln(--), K1 = 65, K2 = 17, nu = 65.800033578822567587,
            66               34

                 3                 2
    pol = -1105 x  + 574536415514 x  + 37916519 x - 576

                                 a=, 33, b=, 66

            66               33
theta1 = ln(--), theta2 = ln(--), K1 = 67, K2 = 17, nu = 79.968173753088596951,
            67               34

                 3                 2
    pol = -1139 x  + 610435734549 x  + 42810879 x - 625

                                 a=, 33, b=, 68

            68               33
theta1 = ln(--), theta2 = ln(--), K1 = 46, K2 = 11, nu = 26.152267598191467957,
            69               34

                 3                  2
    pol = -2024 x  + 1150972789479 x  + 90419754 x - 1225

                                 a=, 33, b=, 84

            84               33
theta1 = ln(--), theta2 = ln(--), K1 = 70, K2 = 11, nu = 348.89413783589795145,
            85               34

                 3                  2
    pol = -3080 x  + 2665263699159 x  + 409270314 x - 3481

                                 a=, 34, b=, 35

            35               34
theta1 = ln(--), theta2 = ln(--), K1 = 18, K2 = 17, nu = 9.9233630352586684536,
            36               35

                 3                 2
    pol = -1224 x  + 198262665647 x  - 5959622 x - 1

                                 a=, 34, b=, 49

            49               34
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 17, nu = 11.931914280552344873,
            50               35

                3                 2
    pol = -595 x  + 187389015509 x  + 385407 x - 81

                                 a=, 34, b=, 50

            50               34
theta1 = ln(--), theta2 = ln(--), K1 = 15, K2 = 7, nu = 6.6066511062167432302,
            51               35

                3                2
    pol = -105 x  + 34418298794 x  + 171967 x - 16

                                 a=, 34, b=, 51

            51               34
theta1 = ln(--), theta2 = ln(--), K1 = 78, K2 = 35, nu = 47.587201437329164621,
            52               35

                  3                  2
    pol = -10920 x  + 3722673840311 x  + 29745226 x - 1849

                                 a=, 34, b=, 55

            55               34
theta1 = ln(--), theta2 = ln(--), K1 = 44, K2 = 17, nu = 17.924369554695947482,
            56               35

                 3                  2
    pol = -2992 x  + 1184588037575 x  + 24252066 x - 729

                                 a=, 34, b=, 69

            69               34
theta1 = ln(--), theta2 = ln(--), K1 = 69, K2 = 17, nu = 84.085499368208916112,
            70               35

                 3                 2
    pol = -1173 x  + 728268734750 x  + 50989579 x - 676

                                 a=, 34, b=, 70

            70               34
theta1 = ln(--), theta2 = ln(--), K1 = 71, K2 = 17, nu = 106.11484096503747514,
            71               35

                 3                 2
    pol = -1207 x  + 771098324645 x  + 56980251 x - 729

                                 a=, 34, b=, 84

            84               34
theta1 = ln(--), theta2 = ln(--), K1 = 6, K2 = 1, nu = 4.8147226682470733866,
            85               35

               3                2
    pol = -24 x  + 22026785783 x  + 2932186 x - 25

                                 a=, 34, b=, 85

            85               34
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 7, nu = 25.155546915641234284,
            86               35

                3                 2
    pol = -301 x  + 282829894478 x  + 38947347 x - 324

                                 a=, 35, b=, 36

            36               35
theta1 = ln(--), theta2 = ln(--), K1 = 37, K2 = 35, nu = 21.730819686563524264,
            37               36

                 3                 2
    pol = -1295 x  + 234790257309 x  - 6673101 x - 1

                                 a=, 35, b=, 39

            39               35
theta1 = ln(--), theta2 = ln(--), K1 = 26, K2 = 21, nu = 12.225645792140238102,
            40               36

                 3                 2
    pol = -2184 x  + 463740867383 x  - 11191894 x - 25

                                 a=, 35, b=, 40

            40               35
theta1 = ln(--), theta2 = ln(--), K1 = 82, K2 = 63, nu = 1005.6568763488590860,
            41               36

                  3                  2
    pol = -20664 x  + 4612688378567 x  - 103120742 x - 361

                                 a=, 35, b=, 41

            41               35
theta1 = ln(--), theta2 = ln(--), K1 = 41, K2 = 30, nu = 18.997801342895049985,
            42               36

                 3                  2
    pol = -4920 x  + 1153166514839 x  - 23574406 x - 121

                                 a=, 35, b=, 42

            42               35
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 30, nu = 19.293793526636843197,
            43               36

                 3                  2
    pol = -5160 x  + 1268408857031 x  - 23355478 x - 169

                                 a=, 35, b=, 44

            44               35
theta1 = ln(--), theta2 = ln(--), K1 = 11, K2 = 7, nu = 5.9151142920590629574,
            45               36

               3                2
    pol = -77 x  + 20751247590 x  - 291669 x - 4

                                 a=, 35, b=, 45

            45               35
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 14, nu = 9.2208895347553224102,
            46               36

                 3                 2
    pol = -1288 x  + 362888258015 x  - 4263526 x - 81

                                 a=, 35, b=, 48

            48               35
theta1 = ln(--), theta2 = ln(--), K1 = 28, K2 = 15, nu = 9.9506047929129319933,
            49               36

                 3                 2
    pol = -1680 x  + 537810298871 x  - 2370814 x - 169

                                 a=, 35, b=, 49

            49               35
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 18, nu = 11.695982820691350919,
            50               36

                 3                 2
    pol = -2520 x  + 840326210351 x  - 1545302 x - 289

                                 a=, 35, b=, 50

            50               35
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 42, nu = 45.635973294929862007,
            51               36

                  3                  2
    pol = -14280 x  + 4956196469111 x  + 3890858 x - 1849

                                 a=, 35, b=, 54

            54               35
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 14, nu = 12.023197363484489905,
            55               36

                 3                 2
    pol = -1848 x  + 747023954855 x  + 8797274 x - 361

                                 a=, 35, b=, 55

            55               35
theta1 = ln(--), theta2 = ln(--), K1 = 22, K2 = 9, nu = 8.7781573313759300925,
            56               36

                3                 2
    pol = -792 x  + 332009981255 x  + 4860346 x - 169

                                 a=, 35, b=, 56

            56               35
theta1 = ln(--), theta2 = ln(--), K1 = 38, K2 = 15, nu = 14.416114989371687887,
            57               36

                 3                 2
    pol = -2280 x  + 990540294911 x  + 17379386 x - 529

                                 a=, 35, b=, 59

            59               35
theta1 = ln(--), theta2 = ln(--), K1 = 59, K2 = 21, nu = 29.858691911520949306,
            60               36

                 3                 2
    pol = -1239 x  + 596962096517 x  + 15829883 x - 361

                                 a=, 35, b=, 60

            60               35
theta1 = ln(--), theta2 = ln(--), K1 = 61, K2 = 21, nu = 33.209403842456696726,
            61               36

                 3                 2
    pol = -1281 x  + 638119084322 x  + 18882479 x - 400

                                 a=, 35, b=, 62

            62               35
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 10, nu = 12.771268189055567718,
            63               36

                 3                 2
    pol = -1240 x  + 659210622359 x  + 23639258 x - 441

                                 a=, 35, b=, 63

            63               35
theta1 = ln(--), theta2 = ln(--), K1 = 16, K2 = 5, nu = 7.6217940916035855330,
            64               36

                3                 2
    pol = -320 x  + 175606341639 x  + 6858354 x - 121

                                 a=, 35, b=, 69

            69               35
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 6, nu = 10.337469105282405210,
            70               36

                3                 2
    pol = -552 x  + 362871563855 x  + 21436826 x - 289

                                 a=, 35, b=, 70

            70               35
theta1 = ln(--), theta2 = ln(--), K1 = 71, K2 = 18, nu = 81.022224222151761118,
            71               36

                 3                  2
    pol = -5112 x  + 3457908838295 x  + 216306106 x - 2809

                                 a=, 35, b=, 80

            80               35
theta1 = ln(--), theta2 = ln(--), K1 = 36, K2 = 7, nu = 17.570060574191491366,
            81               36

                 3                 2
    pol = -1008 x  + 888993222935 x  + 88546274 x - 841

                                 a=, 35, b=, 84

            84               35
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 3, nu = 8.6824921536101516510,
            85               36

               3                2
    pol = -51 x  + 49559882453 x  + 5728847 x - 49

                                 a=, 35, b=, 90

            90               35
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 2, nu = 7.3271108414684587674,
            91               36

                3                 2
    pol = -104 x  + 115925191287 x  + 16329738 x - 121

                                 a=, 35, b=, 99

            99                35
theta1 = ln(---), theta2 = ln(--), K1 = 55, K2 = 7, nu = 46.149873061221056426,
            100               36

                3                 2
    pol = -385 x  + 518746258994 x  + 94258127 x - 576

                                 a=, 36, b=, 37

            37               36
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 18, nu = 10.048105803407562909,
            38               37

                 3                 2
    pol = -1368 x  + 276761204495 x  - 7448726 x - 1

                                 a=, 36, b=, 44

            44               36
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 37, nu = 26.462257501269021289,
            45               37

                 3                 2
    pol = -2035 x  + 579760303349 x  - 9189361 x - 81

                                 a=, 36, b=, 73

            73               36
theta1 = ln(--), theta2 = ln(--), K1 = 73, K2 = 18, nu = 84.950945771694572984,
            74               37

                 3                  2
    pol = -5256 x  + 4085127846431 x  + 255138586 x - 3025

                                 a=, 36, b=, 74

            74               36
theta1 = ln(--), theta2 = ln(--), K1 = 25, K2 = 6, nu = 11.099946409865373732,
            75               37

                3                 2
    pol = -600 x  + 479114806439 x  + 31492154 x - 361

                                 a=, 37, b=, 38

            38               37
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 37, nu = 21.982853978926035790,
            39               38

                 3                 2
    pol = -1443 x  + 324805911845 x  - 8290001 x - 1

                                 a=, 37, b=, 56

            56               37
theta1 = ln(--), theta2 = ln(--), K1 = 84, K2 = 37, nu = 48.891132777060283079,
            57               38

                  3                  2
    pol = -12432 x  + 6026804625215 x  + 48179026 x - 2209

                                 a=, 37, b=, 57

            57               37
theta1 = ln(--), theta2 = ln(--), K1 = 87, K2 = 37, nu = 60.364447210165755542,
            58               38

                 3                  2
    pol = -3219 x  + 1616241570389 x  + 16782175 x - 625

                                 a=, 37, b=, 73

            73               37
theta1 = ln(--), theta2 = ln(--), K1 = 73, K2 = 19, nu = 68.793747052830238483,
            74               38

                 3                  2
    pol = -1387 x  + 1137902347325 x  + 60523191 x - 729

                                 a=, 37, b=, 74

            74               37
theta1 = ln(--), theta2 = ln(--), K1 = 75, K2 = 19, nu = 82.015782919154482348,
            75               38

                 3                  2
    pol = -1425 x  + 1201106293466 x  + 67431607 x - 784

                                 a=, 38, b=, 39

            39               38
theta1 = ln(--), theta2 = ln(--), K1 = 20, K2 = 19, nu = 10.166242905154239335,
            40               39

                 3                 2
    pol = -1520 x  + 379608019359 x  - 9200526 x - 1

                                 a=, 38, b=, 51

            51               38
theta1 = ln(--), theta2 = ln(--), K1 = 34, K2 = 19, nu = 11.435405758067117656,
            52               39

                 3                  2
    pol = -2584 x  + 1097018920559 x  - 6484246 x - 225

                                 a=, 38, b=, 52

            52               38
theta1 = ln(--), theta2 = ln(--), K1 = 106, K2 = 57, nu = 113.57964549444443954,
            53               39

                  3                   2
    pol = -24168 x  + 10662694950095 x  - 42060326 x - 2401

                                 a=, 38, b=, 56

            56               38
theta1 = ln(--), theta2 = ln(--), K1 = 28, K2 = 13, nu = 9.5112238395616215472,
            57               39

                 3                 2
    pol = -1456 x  + 743991081791 x  + 3214706 x - 225

                                 a=, 38, b=, 57

            57               38
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 13, nu = 9.9428451677233102395,
            58               39

                3                 2
    pol = -377 x  + 199520208330 x  + 1292511 x - 64

                                 a=, 38, b=, 65

            65               38
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 19, nu = 23.419417926358988500,
            66               39

                 3                 2
    pol = -1045 x  + 717647623886 x  + 17858171 x - 324

                                 a=, 38, b=, 75

            75               38
theta1 = ln(--), theta2 = ln(--), K1 = 50, K2 = 13, nu = 23.446060005747928552,
            76               39

                 3                  2
    pol = -2600 x  + 2372366041431 x  + 119968266 x - 1369

                                 a=, 38, b=, 77

            77               38
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 19, nu = 85.773665226422410973,
            78               39

                 3                  2
    pol = -1463 x  + 1406573730645 x  + 78848859 x - 841

                                 a=, 38, b=, 78

            78               38
theta1 = ln(--), theta2 = ln(--), K1 = 79, K2 = 19, nu = 105.37777185792840028,
            79               39

                 3                  2
    pol = -1501 x  + 1480590400766 x  + 87126611 x - 900

                                 a=, 38, b=, 95

            95               38
theta1 = ln(--), theta2 = ln(--), K1 = 80, K2 = 13, nu = 286.39126236425839152,
            96               39

                 3                  2
    pol = -4160 x  + 6073190476791 x  + 673274226 x - 4489

                                 a=, 39, b=, 40

            40               39
theta1 = ln(--), theta2 = ln(--), K1 = 41, K2 = 39, nu = 22.221814482110086602,
            41               40

                 3                 2
    pol = -1599 x  + 441907318397 x  - 10183997 x - 1

                                 a=, 39, b=, 44

            44               39
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 26, nu = 14.025293575141932176,
            45               40

                 3                  2
    pol = -3432 x  + 1145100946655 x  - 21526534 x - 49

                                 a=, 39, b=, 45

            45               39
theta1 = ln(--), theta2 = ln(--), K1 = 69, K2 = 52, nu = 48.212349078111840243,
            46               40

                  3                  2
    pol = -14352 x  + 5006249455295 x  - 87424174 x - 289

                                 a=, 39, b=, 47

            47               39
theta1 = ln(--), theta2 = ln(--), K1 = 94, K2 = 65, nu = 217.42377345555856738,
            48               40

                  3                  2
    pol = -24440 x  + 9291099889959 x  - 135200742 x - 841

                                 a=, 39, b=, 48

            48               39
theta1 = ln(--), theta2 = ln(--), K1 = 98, K2 = 65, nu = 244.11178595302134634,
            49               40

                  3                   2
    pol = -25480 x  + 10098625430351 x  - 131216134 x - 1089

                                 a=, 39, b=, 50

            50               39
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 52, nu = 55.645555649383068870,
            51               40

                  3                  2
    pol = -17680 x  + 7597060320671 x  - 73732462 x - 1089

                                 a=, 39, b=, 51

            51               39
theta1 = ln(--), theta2 = ln(--), K1 = 17, K2 = 10, nu = 7.0658752969902365650,
            52               40

                3                 2
    pol = -680 x  + 303881648991 x  - 2426694 x - 49

                                 a=, 39, b=, 52

            52               39
theta1 = ln(--), theta2 = ln(--), K1 = 53, K2 = 30, nu = 18.107243749972910337,
            53               40

                 3                  2
    pol = -6360 x  + 2953638504671 x  - 18374198 x - 529

                                 a=, 39, b=, 54

            54               39
theta1 = ln(--), theta2 = ln(--), K1 = 99, K2 = 52, nu = 61.433322796813881885,
            55               40

                  3                   2
    pol = -20592 x  + 10305619385855 x  - 26471374 x - 2209

                                 a=, 39, b=, 55

            55               39
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 39, nu = 28.291180230334833386,
            56               40

                 3                  2
    pol = -3003 x  + 1558562771405 x  - 1069481 x - 361

                                 a=, 39, b=, 59

            59               39
theta1 = ln(--), theta2 = ln(--), K1 = 59, K2 = 26, nu = 20.723528361610288679,
            60               40

                 3                  2
    pol = -6136 x  + 3660191507183 x  + 26271242 x - 1089

                                 a=, 39, b=, 60

            60               39
theta1 = ln(--), theta2 = ln(--), K1 = 61, K2 = 26, nu = 22.506156922646469405,
            61               40

                 3                  2
    pol = -6344 x  + 3912539952903 x  + 36076746 x - 1225

                                 a=, 39, b=, 64

            64               39
theta1 = ln(--), theta2 = ln(--), K1 = 8, K2 = 3, nu = 4.8800623084918182234,
            65               40

               3                2
    pol = -96 x  + 67294057127 x  + 1189714 x - 25

                                 a=, 39, b=, 65

            65               39
theta1 = ln(--), theta2 = ln(--), K1 = 11, K2 = 4, nu = 5.7319558605732797847,
            66               40

                3                 2
    pol = -176 x  + 127227672303 x  + 2527122 x - 49

                                 a=, 39, b=, 75

            75               39
theta1 = ln(--), theta2 = ln(--), K1 = 95, K2 = 26, nu = 777.72153075264860626,
            76               40

                 3                  2
    pol = -9880 x  + 9489410813399 x  + 409579802 x - 4761

                                 a=, 39, b=, 77

            77               39
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 20, nu = 70.158075507828866524,
            78               40

                 3                  2
    pol = -6160 x  + 6234086747951 x  + 300098162 x - 3249

                                 a=, 39, b=, 78

            78               39
theta1 = ln(--), theta2 = ln(--), K1 = 79, K2 = 20, nu = 82.955223992686154233,
            79               40

                 3                  2
    pol = -6320 x  + 6562136627079 x  + 332479074 x - 3481

                                 a=, 39, b=, 80

            80               39
theta1 = ln(--), theta2 = ln(--), K1 = 54, K2 = 13, nu = 26.753400902795220305,
            81               40

                 3                  2
    pol = -2808 x  + 3066041500895 x  + 171091754 x - 1681

                                 a=, 39, b=, 90

            90               39
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 4, nu = 9.5250233404741321227,
            91               40

                3                 2
    pol = -336 x  + 463688971583 x  + 38532242 x - 289

                                 a=, 39, b=, 95

            95               39
theta1 = ln(--), theta2 = ln(--), K1 = 76, K2 = 13, nu = 109.31175014900377686,
            96               40

                 3                  2
    pol = -3952 x  + 6073156331615 x  + 593811986 x - 3969

                                 a=, 40, b=, 41

            41               40
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 20, nu = 10.278439897458837773,
            42               41

                 3                 2
    pol = -1680 x  + 512502745439 x  - 11244206 x - 1

                                 a=, 40, b=, 55

            55               40
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 41, nu = 29.382893078152807111,
            56               41

                 3                  2
    pol = -3157 x  + 1722505171910 x  - 5336109 x - 324

                                 a=, 40, b=, 64

            64               40
theta1 = ln(--), theta2 = ln(--), K1 = 104, K2 = 41, nu = 148.58522608328352357,
            65               41

                  3                   2
    pol = -17056 x  + 12568968951743 x  + 170464482 x - 3969

                                 a=, 40, b=, 81

            81               40
theta1 = ln(--), theta2 = ln(--), K1 = 81, K2 = 20, nu = 86.557478727344242905,
            82               41

                 3                  2
    pol = -6480 x  + 7624239160919 x  + 385743394 x - 3721

                                 a=, 40, b=, 82

            82               40
theta1 = ln(--), theta2 = ln(--), K1 = 83, K2 = 20, nu = 105.15431373915988316,
            83               41

                 3                  2
    pol = -6640 x  + 8005388176031 x  + 424193202 x - 3969

                                 a=, 41, b=, 42

            42               41
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 41, nu = 22.448996152080910542,
            43               42

                 3                 2
    pol = -1763 x  + 592255453605 x  - 12385041 x - 1

                                 a=, 41, b=, 48

            48               41
theta1 = ln(--), theta2 = ln(--), K1 = 56, K2 = 41, nu = 25.070662851283288008,
            49               42

                 3                  2
    pol = -9184 x  + 4017897928799 x  - 60173566 x - 225

                                 a=, 41, b=, 56

            56               41
theta1 = ln(--), theta2 = ln(--), K1 = 76, K2 = 41, nu = 28.018921068524406629,
            57               42

                  3                  2
    pol = -12464 x  + 7400174015319 x  - 26191806 x - 1225

                                 a=, 41, b=, 62

            62               41
theta1 = ln(--), theta2 = ln(--), K1 = 93, K2 = 41, nu = 49.856785365800655812,
            63               42

                 3                  2
    pol = -3813 x  + 2770234341230 x  + 17950859 x - 676

                                 a=, 41, b=, 63

            63               41
theta1 = ln(--), theta2 = ln(--), K1 = 96, K2 = 41, nu = 60.227868821954712395,
            64               42

                  3                   2
    pol = -15744 x  + 11807351438639 x  + 97301954 x - 3025

                                 a=, 41, b=, 81

            81               41
theta1 = ln(--), theta2 = ln(--), K1 = 27, K2 = 7, nu = 10.744708439495074326,
            82               42

                3                 2
    pol = -189 x  + 233491194494 x  + 10220819 x - 100

                                 a=, 41, b=, 82

            82               41
theta1 = ln(--), theta2 = ln(--), K1 = 83, K2 = 21, nu = 83.846058743923412242,
            83               42

                 3                  2
    pol = -1743 x  + 2206474439405 x  + 101398099 x - 961

                                 a=, 42, b=, 43

            43               42
theta1 = ln(--), theta2 = ln(--), K1 = 22, K2 = 21, nu = 10.385266570889364115,
            44               43

                 3                 2
    pol = -1848 x  + 682091961935 x  - 13610486 x - 1

                                 a=, 42, b=, 48

            48               42
theta1 = ln(--), theta2 = ln(--), K1 = 56, K2 = 43, nu = 25.780350650189497837,
            49               43

                 3                  2
    pol = -9632 x  + 4419428810775 x  - 68865774 x - 169

                                 a=, 42, b=, 56

            56               42
theta1 = ln(--), theta2 = ln(--), K1 = 76, K2 = 43, nu = 29.008385854658422100,
            57               43

                  3                  2
    pol = -13072 x  + 8139714554015 x  - 43593454 x - 1089

                                 a=, 42, b=, 62

            62               42
theta1 = ln(--), theta2 = ln(--), K1 = 93, K2 = 43, nu = 42.156623891477779146,
            63               43

                 3                  2
    pol = -3999 x  + 3047079263069 x  + 11432675 x - 625

                                 a=, 42, b=, 63

            63               42
theta1 = ln(--), theta2 = ln(--), K1 = 96, K2 = 43, nu = 49.650677458487241626,
            64               43

                  3                   2
    pol = -16512 x  + 12987325723655 x  + 69578066 x - 2809

                                 a=, 42, b=, 69

            69               42
theta1 = ln(--), theta2 = ln(--), K1 = 115, K2 = 43, nu = 658.79304598441643136,
            70               43

                 3                  2
    pol = -4945 x  + 4659185377754 x  + 71971703 x - 1296

                                 a=, 42, b=, 85

            85               42
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 21, nu = 87.306136449164371372,
            86               43

                 3                  2
    pol = -1785 x  + 2545347470426 x  + 116812687 x - 1024

                                 a=, 42, b=, 86

            86               42
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 7, nu = 11.417167946128381377,
            87               43

                3                 2
    pol = -203 x  + 296281813245 x  + 14210679 x - 121

                                 a=, 43, b=, 44

            44               43
theta1 = ln(--), theta2 = ln(--), K1 = 45, K2 = 43, nu = 22.665504985452587970,
            45               44

                 3                 2
    pol = -1935 x  + 783007382429 x  - 14924621 x - 1

                                 a=, 43, b=, 55

            55               43
theta1 = ln(--), theta2 = ln(--), K1 = 70, K2 = 43, nu = 27.065522958498527418,
            56               44

                  3                  2
    pol = -12040 x  + 7578510310391 x  - 61742934 x - 729

                                 a=, 43, b=, 85

            85               43
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 22, nu = 72.664585168334849312,
            86               44

                 3                   2
    pol = -7480 x  + 11174086245071 x  + 446702346 x - 3969

                                 a=, 43, b=, 86

            86               43
theta1 = ln(--), theta2 = ln(--), K1 = 87, K2 = 22, nu = 84.693098852775356110,
            87               44

                 3                   2
    pol = -7656 x  + 11706105807791 x  + 490148506 x - 4225

                                 a=, 44, b=, 45

            45               44
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 22, nu = 10.487211442731207180,
            46               45

                 3                 2
    pol = -2024 x  + 896068724847 x  - 16331622 x - 1

                                 a=, 44, b=, 50

            50               44
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 66, nu = 78.278907492780034209,
            51               45

                  3                   2
    pol = -22440 x  + 12238182282119 x  - 177162838 x - 361

                                 a=, 44, b=, 54

            54               44
theta1 = ln(--), theta2 = ln(--), K1 = 3, K2 = 2, nu = 3.2835205620258124425,
            55               45

               3                2
    pol = -24 x  + 15244653647 x  - 158422 x - 1

                                 a=, 44, b=, 55

            55               44
theta1 = ln(--), theta2 = ln(--), K1 = 14, K2 = 9, nu = 6.3017878752906376418,
            56               45

                3                 2
    pol = -504 x  + 331994014103 x  - 3076934 x - 25

                                 a=, 44, b=, 59

            59               44
theta1 = ln(--), theta2 = ln(--), K1 = 59, K2 = 33, nu = 18.041831599369332832,
            60               45

                 3                  2
    pol = -1947 x  + 1474059996845 x  - 6570409 x - 169

                                 a=, 44, b=, 60

            60               44
theta1 = ln(--), theta2 = ln(--), K1 = 61, K2 = 33, nu = 18.189255523127485451,
            61               45

                 3                  2
    pol = -2013 x  + 1575687670790 x  - 5021221 x - 196

                                 a=, 44, b=, 63

            63               44
theta1 = ln(--), theta2 = ln(--), K1 = 112, K2 = 55, nu = 57.554737176949849036,
            64               45

                  3                   2
    pol = -24640 x  + 21247345451471 x  + 16238306 x - 3249

                                 a=, 44, b=, 65

            65               44
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 6, nu = 5.6781938897402795262,
            66               45

                3                 2
    pol = -312 x  + 286255776095 x  + 1002986 x - 49

                                 a=, 44, b=, 66

            66               44
theta1 = ln(--), theta2 = ln(--), K1 = 67, K2 = 30, nu = 21.150733554043917803,
            67               45

                 3                  2
    pol = -8040 x  + 7603554371351 x  + 37279946 x - 1369

                                 a=, 44, b=, 75

            75               44
theta1 = ln(--), theta2 = ln(--), K1 = 95, K2 = 33, nu = 68.447298844424455960,
            76               45

                 3                  2
    pol = -3135 x  + 3821647267709 x  + 69932867 x - 961

                                 a=, 44, b=, 77

            77               44
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 30, nu = 62.468555340822753965,
            78               45

                  3                   2
    pol = -10920 x  + 14026377343079 x  + 301036778 x - 3721

                                 a=, 44, b=, 80

            80               44
theta1 = ln(--), theta2 = ln(--), K1 = 36, K2 = 11, nu = 12.670604212299798992,
            81               45

                 3                  2
    pol = -1584 x  + 2195163402863 x  + 57798386 x - 625

                                 a=, 44, b=, 87

            87               44
theta1 = ln(--), theta2 = ln(--), K1 = 58, K2 = 15, nu = 24.351191117449215784,
            88               45

                 3                  2
    pol = -3480 x  + 5697917063351 x  + 218005082 x - 1849

                                 a=, 44, b=, 89

            89               44
theta1 = ln(--), theta2 = ln(--), K1 = 89, K2 = 22, nu = 88.022660948410808848,
            90               45

                 3                   2
    pol = -7832 x  + 13416515350215 x  + 561039546 x - 4489

                                 a=, 44, b=, 90

            90               44
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 22, nu = 104.90875295135440217,
            91               45

                 3                   2
    pol = -8008 x  + 14026273552535 x  + 611828714 x - 4761

                                 a=, 44, b=, 98

            98               44
theta1 = ln(--), theta2 = ln(--), K1 = 49, K2 = 10, nu = 20.373166292873047747,
            99               45

                 3                  2
    pol = -1960 x  + 4066776476159 x  + 238500794 x - 1521

                                 a=, 44, b=, 99

            99                44
theta1 = ln(---), theta2 = ln(--), K1 = 5, K2 = 1, nu = 4.1721995715509328758,
            100               45

              3                2
    pol = -5 x  + 10586149206 x  + 641523 x - 4

                                 a=, 45, b=, 46

            46               45
theta1 = ln(--), theta2 = ln(--), K1 = 47, K2 = 45, nu = 22.872305878141675176,
            47               46

                 3                  2
    pol = -2115 x  + 1022418279269 x  - 17835761 x - 1

                                 a=, 45, b=, 50

            50               45
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 69, nu = 84.073934045206024422,
            51               46

                 3                  2
    pol = -5865 x  + 3343995215066 x  - 49467457 x - 64

                                 a=, 45, b=, 54

            54               45
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 23, nu = 11.561243479124924555,
            55               46

                3                 2
    pol = -759 x  + 504024516773 x  - 5635429 x - 25

                                 a=, 45, b=, 59

            59               45
theta1 = ln(--), theta2 = ln(--), K1 = 118, K2 = 69, nu = 127.65455712103300022,
            60               46

                  3                   2
    pol = -32568 x  + 25777682142575 x  - 149926966 x - 2401

                                 a=, 45, b=, 60

            60               45
theta1 = ln(--), theta2 = ln(--), K1 = 122, K2 = 69, nu = 133.47362022936099334,
            61               46

                  3                   2
    pol = -33672 x  + 27554900085815 x  - 128380054 x - 2809

                                 a=, 45, b=, 65

            65               45
theta1 = ln(--), theta2 = ln(--), K1 = 143, K2 = 69, nu = 449.94550379363969572,
            66               46

                 3                  2
    pol = -9867 x  + 9464296963325 x  + 13794071 x - 1369

                                 a=, 45, b=, 68

            68               45
theta1 = ln(--), theta2 = ln(--), K1 = 34, K2 = 15, nu = 10.314033649677523676,
            69               46

                 3                  2
    pol = -2040 x  + 2140093085159 x  + 11467034 x - 361

                                 a=, 45, b=, 69

            69               45
theta1 = ln(--), theta2 = ln(--), K1 = 7, K2 = 3, nu = 4.3544164309173983103,
            70               46

               3                2
    pol = -21 x  + 22678299038 x  + 151787 x - 4

                                 a=, 45, b=, 80

            80               45
theta1 = ln(--), theta2 = ln(--), K1 = 72, K2 = 23, nu = 31.052600287219534589,
            81               46

                 3                  2
    pol = -6624 x  + 9597001575647 x  + 215184578 x - 2401

                                 a=, 45, b=, 89

            89               45
theta1 = ln(--), theta2 = ln(--), K1 = 89, K2 = 23, nu = 73.820611119772664837,
            90               46

                 3                  2
    pol = -2047 x  + 3665966243885 x  + 134366531 x - 1089

                                 a=, 45, b=, 90

            90               45
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 23, nu = 85.500415847742737342,
            91               46

                 3                  2
    pol = -2093 x  + 3832578283470 x  + 146820819 x - 1156

                                 a=, 45, b=, 92

            92               45
theta1 = ln(--), theta2 = ln(--), K1 = 62, K2 = 15, nu = 27.295307452244831022,
            93               46

                 3                  2
    pol = -3720 x  + 7116250741391 x  + 296508602 x - 2209

                                 a=, 46, b=, 47

            47               46
theta1 = ln(--), theta2 = ln(--), K1 = 24, K2 = 23, nu = 10.584706755238373571,
            48               47

                 3                  2
    pol = -2208 x  + 1163277076415 x  - 19441406 x - 1

                                 a=, 46, b=, 68

            68               46
theta1 = ln(--), theta2 = ln(--), K1 = 102, K2 = 47, nu = 43.492010562455800203,
            69               47

                  3                   2
    pol = -19176 x  + 21010886353631 x  + 68855866 x - 3025

                                 a=, 46, b=, 69

            69               46
theta1 = ln(--), theta2 = ln(--), K1 = 105, K2 = 47, nu = 50.538961071083007624,
            70               47

                 3                  2
    pol = -4935 x  + 5566243439189 x  + 25070059 x - 841

                                 a=, 46, b=, 93

            93               46
theta1 = ln(--), theta2 = ln(--), K1 = 93, K2 = 23, nu = 88.709526805002095845,
            94               47

                 3                  2
    pol = -2139 x  + 4366593755309 x  + 167071399 x - 1225

                                 a=, 46, b=, 94

            94               46
theta1 = ln(--), theta2 = ln(--), K1 = 95, K2 = 23, nu = 104.86215975294528005,
            95               47

                 3                  2
    pol = -2185 x  + 4556421878234 x  + 181532079 x - 1296

                                 a=, 47, b=, 48

            48               47
theta1 = ln(--), theta2 = ln(--), K1 = 49, K2 = 47, nu = 23.070234357346995541,
            49               48

                 3                  2
    pol = -2303 x  + 1319948425725 x  - 21153021 x - 1

                                 a=, 47, b=, 63

            63               47
theta1 = ln(--), theta2 = ln(--), K1 = 84, K2 = 47, nu = 28.501785080607888113,
            64               48

                  3                   2
    pol = -15792 x  + 15515670350855 x  - 60880894 x - 1369

                                 a=, 47, b=, 93

            93               47
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 8, nu = 11.093343916905497121,
            94               48

                3                  2
    pol = -992 x  + 2113127431215 x  + 71267106 x - 529

                                 a=, 47, b=, 94

            94               47
theta1 = ln(--), theta2 = ln(--), K1 = 95, K2 = 24, nu = 86.271376112230488499,
            95               48

                 3                   2
    pol = -9120 x  + 19844919263759 x  + 698186338 x - 5041

                                 a=, 48, b=, 49

            49               48
theta1 = ln(--), theta2 = ln(--), K1 = 25, K2 = 24, nu = 10.678127137668153854,
            50               49

                 3                  2
    pol = -2400 x  + 1493821531199 x  - 22975166 x - 1

                                 a=, 48, b=, 55

            55               48
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 42, nu = 20.669225740912241786,
            56               49

                 3                  2
    pol = -9240 x  + 7229995615751 x  - 85704134 x - 169

                                 a=, 48, b=, 56

            56               48
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 14, nu = 7.7076671954065236327,
            57               49

                 3                 2
    pol = -1064 x  + 862817673399 x  - 9581046 x - 25

                                 a=, 48, b=, 62

            62               48
theta1 = ln(--), theta2 = ln(--), K1 = 93, K2 = 56, nu = 39.031369749802368994,
            63               49

                  3                   2
    pol = -20832 x  + 20671575724775 x  - 123676174 x - 1369

                                 a=, 48, b=, 63

            63               48
theta1 = ln(--), theta2 = ln(--), K1 = 12, K2 = 7, nu = 5.4904530278435915102,
            64               49

                3                 2
    pol = -336 x  + 344167295111 x  - 1736734 x - 25

                                 a=, 48, b=, 69

            69               48
theta1 = ln(--), theta2 = ln(--), K1 = 115, K2 = 56, nu = 48.823981516191498825,
            70               49

                  3                   2
    pol = -25760 x  + 31608204130599 x  + 29973234 x - 3481

                                 a=, 48, b=, 83

            83               48
theta1 = ln(--), theta2 = ln(--), K1 = 83, K2 = 28, nu = 35.702426113851668747,
            84               49

                 3                   2
    pol = -9296 x  + 16464772017231 x  + 277926546 x - 3025

                                 a=, 48, b=, 84

            84               48
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 28, nu = 38.752783400555619190,
            85               49

                 3                   2
    pol = -9520 x  + 17267805329711 x  + 312701426 x - 3249

                                 a=, 48, b=, 97

            97               48
theta1 = ln(--), theta2 = ln(--), K1 = 97, K2 = 24, nu = 89.369268713161283739,
            98               49

                 3                   2
    pol = -9312 x  + 22487451409775 x  + 790218466 x - 5329

                                 a=, 48, b=, 98

            98               48
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 8, nu = 11.696083889761145856,
            99               49

                 3                  2
    pol = -1056 x  + 2602702296911 x  + 95082146 x - 625

                                 a=, 49, b=, 50

            50               49
theta1 = ln(--), theta2 = ln(--), K1 = 51, K2 = 49, nu = 23.260018649955641656,
            51               50

                 3                  2
    pol = -2499 x  + 1686375184997 x  - 24912497 x - 1

                                 a=, 49, b=, 55

            55               49
theta1 = ln(--), theta2 = ln(--), K1 = 44, K2 = 35, nu = 15.845464433567047713,
            56               50

                 3                  2
    pol = -6160 x  + 5020816058639 x  - 60968718 x - 81

                                 a=, 49, b=, 69

            69               49
theta1 = ln(--), theta2 = ln(--), K1 = 69, K2 = 35, nu = 17.766274679411710259,
            70               50

                 3                  2
    pol = -2415 x  + 3086729936141 x  - 1501517 x - 289

                                 a=, 49, b=, 70

            70               49
theta1 = ln(--), theta2 = ln(--), K1 = 71, K2 = 35, nu = 18.398590765534917558,
            71               50

                 3                  2
    pol = -2485 x  + 3268260971246 x  + 1586043 x - 324

                                 a=, 49, b=, 74

            74               49
theta1 = ln(--), theta2 = ln(--), K1 = 111, K2 = 49, nu = 51.539543971985961860,
            75               50

                 3                  2
    pol = -5439 x  + 7988117895917 x  + 35980483 x - 961

                                 a=, 49, b=, 75

            75               49
theta1 = ln(--), theta2 = ln(--), K1 = 114, K2 = 49, nu = 60.276132650444702874,
            76               50

                  3                   2
    pol = -22344 x  + 33702945585263 x  + 186718906 x - 4225

                                 a=, 49, b=, 84

            84               49
theta1 = ln(--), theta2 = ln(--), K1 = 102, K2 = 35, nu = 61.529481558658136843,
            85               50

                  3                   2
    pol = -14280 x  + 26980869357671 x  + 414896458 x - 4489

                                 a=, 49, b=, 90

            90               49
theta1 = ln(--), theta2 = ln(--), K1 = 117, K2 = 35, nu = 241.21981639659454524,
            91               50

                 3                  2
    pol = -4095 x  + 8874952310909 x  + 199031107 x - 1681

                                 a=, 49, b=, 97

            97               49
theta1 = ln(--), theta2 = ln(--), K1 = 97, K2 = 25, nu = 75.966201536701408637,
            98               50

                 3                  2
    pol = -2425 x  + 6100094312954 x  + 189933183 x - 1296

                                 a=, 49, b=, 98

            98               49
theta1 = ln(--), theta2 = ln(--), K1 = 99, K2 = 25, nu = 87.009281349969958473,
            99               50

                 3                  2
    pol = -2475 x  + 6354235645181 x  + 206025271 x - 1369

                                 a=, 50, b=, 51

            51               50
theta1 = ln(--), theta2 = ln(--), K1 = 26, K2 = 25, nu = 10.767792651920594660,
            52               51

                 3                  2
    pol = -2600 x  + 1899181538799 x  - 26969766 x - 1

                                 a=, 50, b=, 54

            54               50
theta1 = ln(--), theta2 = ln(--), K1 = 99, K2 = 85, nu = 172.90963367711762110,
            55               51

                 3                  2
    pol = -8415 x  + 6883784401181 x  - 88582237 x - 49

                                 a=, 50, b=, 59

            59               50
theta1 = ln(--), theta2 = ln(--), K1 = 118, K2 = 85, nu = 289.35436010015494222,
            60               51

                  3                   2
    pol = -40120 x  + 39118027953551 x  - 382587382 x - 1089

                                 a=, 50, b=, 60

            60               50
theta1 = ln(--), theta2 = ln(--), K1 = 122, K2 = 85, nu = 326.99882516815085276,
            61               51

                  3                   2
    pol = -41480 x  + 41814983435991 x  - 379196502 x - 1369

                                 a=, 50, b=, 65

            65               50
theta1 = ln(--), theta2 = ln(--), K1 = 143, K2 = 85, nu = 745.35670360082031293,
            66               51

                  3                   2
    pol = -12155 x  + 14362215777069 x  - 74251833 x - 841

                                 a=, 50, b=, 67

            67               50
theta1 = ln(--), theta2 = ln(--), K1 = 134, K2 = 75, nu = 116.92756998118237000,
            68               51

                  3                   2
    pol = -40200 x  + 50444982458519 x  - 175579862 x - 3481

                                 a=, 50, b=, 68

            68               50
theta1 = ln(--), theta2 = ln(--), K1 = 46, K2 = 25, nu = 12.188206203979275339,
            69               51

                 3                  2
    pol = -4600 x  + 5944612926359 x  - 15530566 x - 441

                                 a=, 50, b=, 69

            69               50
theta1 = ln(--), theta2 = ln(--), K1 = 161, K2 = 85, nu = 4193.9774481587649582,
            70               51

                  3                   2
    pol = -13685 x  + 18205358611326 x  - 31493877 x - 1444

                                 a=, 50, b=, 74

            74               50
theta1 = ln(--), theta2 = ln(--), K1 = 37, K2 = 17, nu = 10.174599081738257037,
            75               51

                3                 2
    pol = -629 x  + 961499339358 x  + 2769771 x - 100

                                 a=, 50, b=, 75

            75               50
theta1 = ln(--), theta2 = ln(--), K1 = 38, K2 = 17, nu = 10.522559918938031211,
            76               51

                 3                  2
    pol = -2584 x  + 4056695248727 x  + 15574298 x - 441

                                 a=, 50, b=, 84

            84               50
theta1 = ln(--), theta2 = ln(--), K1 = 14, K2 = 5, nu = 6.0630565088269852028,
            85               51

                3                 2
    pol = -280 x  + 550628518079 x  + 7131722 x - 81

                                 a=, 50, b=, 85

            85               50
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 15, nu = 13.027564808489811209,
            86               51

                3                  2
    pol = -645 x  + 1298611705694 x  + 18201307 x - 196

                                 a=, 50, b=, 99

            99                50
theta1 = ln(---), theta2 = ln(--), K1 = 66, K2 = 17, nu = 25.129384501472274816,
            100               51

                 3                   2
    pol = -4488 x  + 12237358247375 x  + 366528314 x - 2401

                                 a=, 51, b=, 52

            52               51
theta1 = ln(--), theta2 = ln(--), K1 = 53, K2 = 51, nu = 23.442326441525989691,
            53               52

                 3                  2
    pol = -2703 x  + 2133909952925 x  - 29151821 x - 1

                                 a=, 51, b=, 64

            64               51
theta1 = ln(--), theta2 = ln(--), K1 = 80, K2 = 51, nu = 27.690269744066057424,
            65               52

                  3                   2
    pol = -16320 x  + 19447127064119 x  - 130696046 x - 841

                                 a=, 51, b=, 65

            65               51
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 34, nu = 15.801745328182000329,
            66               52

                 3                  2
    pol = -7480 x  + 9191794992599 x  - 54876166 x - 441

                                 a=, 51, b=, 67

            67               51
theta1 = ln(--), theta2 = ln(--), K1 = 67, K2 = 39, nu = 18.883146771481621939,
            68               52

                 3                  2
    pol = -2613 x  + 3410072242550 x  - 15066941 x - 196

                                 a=, 51, b=, 68

            68               51
theta1 = ln(--), theta2 = ln(--), K1 = 23, K2 = 13, nu = 7.5135518125962567323,
            69               52

                3                 2
    pol = -299 x  + 401854823709 x  - 1454361 x - 25

                                 a=, 51, b=, 77

            77               51
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 34, nu = 21.830469129996443766,
            78               52

                  3                   2
    pol = -10472 x  + 18015718219575 x  + 74798346 x - 1849

                                 a=, 51, b=, 78

            78               51
theta1 = ln(--), theta2 = ln(--), K1 = 79, K2 = 34, nu = 23.251160723369059038,
            79               52

                  3                   2
    pol = -10744 x  + 18963740668199 x  + 96171674 x - 2025

                                 a=, 51, b=, 84

            84               51
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 13, nu = 10.541552267416034931,
            85               52

                3                 2
    pol = -455 x  + 930559856469 x  + 10046379 x - 121

                                 a=, 51, b=, 90

            90               51
theta1 = ln(--), theta2 = ln(--), K1 = 105, K2 = 34, nu = 65.326996510058116069,
            91               52

                  3                   2
    pol = -14280 x  + 33500054582399 x  + 564820634 x - 5041

                                 a=, 52, b=, 53

            53               52
theta1 = ln(--), theta2 = ln(--), K1 = 27, K2 = 26, nu = 10.853996038556710273,
            54               53

                 3                  2
    pol = -2808 x  + 2392330923215 x  - 31463606 x - 1

                                 a=, 52, b=, 64

            64               52
theta1 = ln(--), theta2 = ln(--), K1 = 80, K2 = 53, nu = 28.392298910722985081,
            65               53

                  3                   2
    pol = -16960 x  + 21002249282471 x  - 153937998 x - 729

                                 a=, 53, b=, 54

            54               53
theta1 = ln(--), theta2 = ln(--), K1 = 55, K2 = 53, nu = 23.617680562360051873,
            55               54

                 3                  2
    pol = -2915 x  + 2676320085669 x  - 33910161 x - 1

                                 a=, 53, b=, 80

            80               53
theta1 = ln(--), theta2 = ln(--), K1 = 120, K2 = 53, nu = 52.282533660790139141,
            81               54

                  3                   2
    pol = -25440 x  + 50959124450231 x  + 195642386 x - 4489

                                 a=, 53, b=, 81

            81               53
theta1 = ln(--), theta2 = ln(--), K1 = 123, K2 = 53, nu = 60.394165913689501296,
            82               54

                 3                   2
    pol = -6519 x  + 13384724135189 x  + 62361179 x - 1225

                                 a=, 54, b=, 55

            55               54
theta1 = ln(--), theta2 = ln(--), K1 = 28, K2 = 27, nu = 10.936997802955599305,
            56               55

                 3                  2
    pol = -3024 x  + 2987862298847 x  - 36496622 x - 1

                                 a=, 54, b=, 59

            59               54
theta1 = ln(--), theta2 = ln(--), K1 = 118, K2 = 99, nu = 1617.9533707951013909,
            60               55

                  3                   2
    pol = -46728 x  + 53064671091335 x  - 570842806 x - 361

                                 a=, 54, b=, 60

            60               54
theta1 = ln(--), theta2 = ln(--), K1 = 122, K2 = 99, nu = 5739.7963033448948847,
            61               55

                  3                   2
    pol = -48312 x  + 56723164709375 x  - 584548054 x - 529

                                 a=, 54, b=, 65

            65               54
theta1 = ln(--), theta2 = ln(--), K1 = 13, K2 = 9, nu = 5.8675020251705989407,
            66               55

                3                 2
    pol = -117 x  + 161014356590 x  - 1234309 x - 4

                                 a=, 54, b=, 66

            66               54
theta1 = ln(--), theta2 = ln(--), K1 = 67, K2 = 45, nu = 20.600153212353094887,
            67               55

                 3                  2
    pol = -3015 x  + 4276879340549 x  - 30265621 x - 121

                                 a=, 54, b=, 77

            77               54
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 45, nu = 23.030975113481638698,
            78               55

                 3                  2
    pol = -4095 x  + 7889615901821 x  + 2456387 x - 529

                                 a=, 54, b=, 80

            80               54
theta1 = ln(--), theta2 = ln(--), K1 = 24, K2 = 11, nu = 7.4001519920485847239,
            81               55

                 3                  2
    pol = -1056 x  + 2195101816343 x  + 5593682 x - 169

                                 a=, 54, b=, 81

            81               54
theta1 = ln(--), theta2 = ln(--), K1 = 123, K2 = 55, nu = 52.104591674613569359,
            82               55

                 3                   2
    pol = -6765 x  + 14413921244414 x  + 47728739 x - 1156

                                 a=, 54, b=, 87

            87               54
theta1 = ln(--), theta2 = ln(--), K1 = 116, K2 = 45, nu = 56.937834710735548256,
            88               55

                  3                   2
    pol = -20880 x  + 51279814845359 x  + 413298098 x - 5041

                                 a=, 54, b=, 89

            89               54
theta1 = ln(--), theta2 = ln(--), K1 = 89, K2 = 33, nu = 30.173108369432348678,
            90               55

                 3                  2
    pol = -2937 x  + 7546578154970 x  + 73235231 x - 784

                                 a=, 54, b=, 90

            90               54
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 33, nu = 32.238889806920324514,
            91               55

                 3                  2
    pol = -3003 x  + 7889557521005 x  + 83140679 x - 841

                                 a=, 54, b=, 98

            98               54
theta1 = ln(--), theta2 = ln(--), K1 = 49, K2 = 15, nu = 14.633865228710943541,
            99               55

                3                  2
    pol = -735 x  + 2287497588941 x  + 39967331 x - 289

                                 a=, 54, b=, 99

            99                54
theta1 = ln(---), theta2 = ln(--), K1 = 10, K2 = 3, nu = 5.2006339760367593907,
            100               55

                3                 2
    pol = -120 x  + 381090679391 x  + 7001258 x - 49

                                 a=, 55, b=, 56

            56               55
theta1 = ln(--), theta2 = ln(--), K1 = 57, K2 = 55, nu = 23.786626866208129632,
            57               56

                 3                  2
    pol = -3135 x  + 3329055804029 x  - 39228221 x - 1

                                 a=, 55, b=, 63

            63               55
theta1 = ln(--), theta2 = ln(--), K1 = 72, K2 = 55, nu = 26.244128813607144078,
            64               56

                  3                   2
    pol = -15840 x  + 21246706768031 x  - 192437534 x - 289

                                 a=, 55, b=, 64

            64               55
theta1 = ln(--), theta2 = ln(--), K1 = 104, K2 = 77, nu = 63.140748178743179091,
            65               56

                  3                   2
    pol = -32032 x  + 44329492310375 x  - 379406574 x - 729

                                 a=, 55, b=, 65

            65               55
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 28, nu = 11.940345863078081305,
            66               56

                 3                  2
    pol = -4368 x  + 6233827288295 x  - 50120126 x - 121

                                 a=, 55, b=, 69

            69               55
theta1 = ln(--), theta2 = ln(--), K1 = 69, K2 = 44, nu = 19.855131327616704826,
            70               56

                  3                   2
    pol = -12144 x  + 19512901259183 x  - 113028974 x - 625

                                 a=, 55, b=, 70

            70               55
theta1 = ln(--), theta2 = ln(--), K1 = 71, K2 = 44, nu = 20.013402266849417236,
            71               56

                  3                   2
    pol = -12496 x  + 20660457811463 x  - 107301438 x - 729

                                 a=, 55, b=, 76

            76               55
theta1 = ln(--), theta2 = ln(--), K1 = 19, K2 = 10, nu = 6.3979993060702253211,
            77               56

                3                  2
    pol = -760 x  + 1479545243999 x  - 2001366 x - 81

                                 a=, 55, b=, 77

            77               55
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 20, nu = 9.7571569351613134432,
            78               56

                 3                  2
    pol = -3120 x  + 6233758096439 x  - 4218302 x - 361

                                 a=, 55, b=, 79

            79               55
theta1 = ln(--), theta2 = ln(--), K1 = 158, K2 = 77, nu = 115.40508015891131969,
            80               56

                  3                    2
    pol = -48664 x  + 102313821546767 x  + 71855658 x - 6561

                                 a=, 55, b=, 80

            80               55
theta1 = ln(--), theta2 = ln(--), K1 = 162, K2 = 77, nu = 168.93130753144799197,
            81               56

                  3                    2
    pol = -49896 x  + 107559773447447 x  + 151089034 x - 7225

                                 a=, 55, b=, 84

            84               55
theta1 = ln(--), theta2 = ln(--), K1 = 51, K2 = 22, nu = 12.920885627495919455,
            85               56

                 3                   2
    pol = -4488 x  + 10660048225415 x  + 45782794 x - 841

                                 a=, 55, b=, 87

            87               55
theta1 = ln(--), theta2 = ln(--), K1 = 87, K2 = 35, nu = 26.035469609284690688,
            88               56

                 3                  2
    pol = -3045 x  + 7755265098374 x  + 50736643 x - 676

                                 a=, 55, b=, 88

            88               55
theta1 = ln(--), theta2 = ln(--), K1 = 89, K2 = 35, nu = 27.680036487849901021,
            89               56

                 3                  2
    pol = -3115 x  + 8115923476541 x  + 59294151 x - 729

                                 a=, 55, b=, 90

            90               55
theta1 = ln(--), theta2 = ln(--), K1 = 117, K2 = 44, nu = 58.426695981596366534,
            91               56

                  3                   2
    pol = -20592 x  + 56103407716175 x  + 496771666 x - 5329

                                 a=, 55, b=, 98

            98               55
theta1 = ln(--), theta2 = ln(--), K1 = 63, K2 = 20, nu = 18.899477231683587887,
            99               56

                 3                   2
    pol = -5040 x  + 16266616922471 x  + 249298786 x - 1849

                                 a=, 55, b=, 99

            99                55
theta1 = ln(---), theta2 = ln(--), K1 = 45, K2 = 14, nu = 13.201289742747802288,
            100               56

                 3                  2
    pol = -2520 x  + 8299291496879 x  + 134160682 x - 961

                                 a=, 56, b=, 57

            57               56
theta1 = ln(--), theta2 = ln(--), K1 = 29, K2 = 28, nu = 11.017027632696068529,
            58               57

                 3                  2
    pol = -3248 x  + 3702116463135 x  - 42110286 x - 1

                                 a=, 56, b=, 62

            62               56
theta1 = ln(--), theta2 = ln(--), K1 = 93, K2 = 76, nu = 52.315284187035158168,
            63               57

                  3                   2
    pol = -28272 x  + 38072957606015 x  - 368555854 x - 289

                                 a=, 56, b=, 63

            63               56
theta1 = ln(--), theta2 = ln(--), K1 = 24, K2 = 19, nu = 8.6605618667136691075,
            64               57

                 3                  2
    pol = -1824 x  + 2535552588839 x  - 23465326 x - 25

                                 a=, 56, b=, 69

            69               56
theta1 = ln(--), theta2 = ln(--), K1 = 115, K2 = 76, nu = 61.289667534729856283,
            70               57

                  3                   2
    pol = -34960 x  + 58216065957359 x  - 365706766 x - 1521

                                 a=, 56, b=, 75

            75               56
theta1 = ln(--), theta2 = ln(--), K1 = 25, K2 = 14, nu = 7.5860324571031900777,
            76               57

                 3                  2
    pol = -1400 x  + 2751217361079 x  - 7683846 x - 121

                                 a=, 56, b=, 76

            76               56
theta1 = ln(--), theta2 = ln(--), K1 = 11, K2 = 6, nu = 4.9815045086842647139,
            77               57

                3                 2
    pol = -264 x  + 532635276599 x  - 1157846 x - 25

                                 a=, 56, b=, 77

            77               56
theta1 = ln(--), theta2 = ln(--), K1 = 143, K2 = 76, nu = 71.490277143152437046,
            78               57

                  3                   2
    pol = -43472 x  + 90015296013015 x  - 139108254 x - 4489

                                 a=, 56, b=, 83

            83               56
theta1 = ln(--), theta2 = ln(--), K1 = 83, K2 = 38, nu = 20.937737052937690379,
            84               57

                  3                   2
    pol = -12616 x  + 30324856475111 x  + 72846986 x - 2025

                                 a=, 56, b=, 84

            84               56
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 38, nu = 22.159354476386792941,
            85               57

                  3                   2
    pol = -12920 x  + 31803885150351 x  + 98186826 x - 2209

                                 a=, 56, b=, 95

            95               56
theta1 = ln(--), theta2 = ln(--), K1 = 20, K2 = 7, nu = 7.1084702707518663434,
            96               57

                3                  2
    pol = -560 x  + 1760759805111 x  + 19501986 x - 169

                                 a=, 57, b=, 58

            58               57
theta1 = ln(--), theta2 = ln(--), K1 = 59, K2 = 57, nu = 23.949632441201621404,
            59               58

                 3                  2
    pol = -3363 x  + 4109382074405 x  - 45148241 x - 1

                                 a=, 57, b=, 75

            75               57
theta1 = ln(--), theta2 = ln(--), K1 = 50, K2 = 29, nu = 12.556644744840034254,
            76               58

                 3                   2
    pol = -5800 x  + 11804947117559 x  - 40928182 x - 441

                                 a=, 57, b=, 76

            76               57
theta1 = ln(--), theta2 = ln(--), K1 = 154, K2 = 87, nu = 136.95067590657670270,
            77               58

                  3                    2
    pol = -53592 x  + 111986365288775 x  - 323871494 x - 4489

                                 a=, 57, b=, 86

            86               57
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 19, nu = 10.811846341596877683,
            87               58

                3                  2
    pol = -817 x  + 2182719521930 x  + 7227431 x - 144

                                 a=, 57, b=, 87

            87               57
theta1 = ln(--), theta2 = ln(--), K1 = 44, K2 = 19, nu = 11.129978023270230744,
            88               58

                 3                  2
    pol = -3344 x  + 9141682758639 x  + 36304050 x - 625

                                 a=, 57, b=, 95

            95               57
theta1 = ln(--), theta2 = ln(--), K1 = 80, K2 = 29, nu = 23.487729117197473650,
            96               58

                 3                   2
    pol = -9280 x  + 30220333267799 x  + 286489778 x - 2601

                                 a=, 58, b=, 59

            59               58
theta1 = ln(--), theta2 = ln(--), K1 = 30, K2 = 29, nu = 11.094289222608660633,
            60               59

                 3                  2
    pol = -3480 x  + 4553316765839 x  - 48347606 x - 1

                                 a=, 58, b=, 86

            86               58
theta1 = ln(--), theta2 = ln(--), K1 = 129, K2 = 59, nu = 46.809289353738730359,
            87               59

                 3                   2
    pol = -7611 x  + 21047184687341 x  + 47732551 x - 1225

                                 a=, 58, b=, 87

            87               58
theta1 = ln(--), theta2 = ln(--), K1 = 132, K2 = 59, nu = 52.802293243705882618,
            88               59

                  3                   2
    pol = -31152 x  + 88149981452495 x  + 254330386 x - 5329

                                 a=, 59, b=, 60

            60               59
theta1 = ln(--), theta2 = ln(--), K1 = 61, K2 = 59, nu = 24.107058514723568054,
            61               60

                 3                  2
    pol = -3599 x  + 5036515466397 x  - 51713997 x - 1

                                 a=, 59, b=, 75

            75               59
theta1 = ln(--), theta2 = ln(--), K1 = 95, K2 = 59, nu = 28.798522276975535306,
            76               60

                 3                   2
    pol = -5605 x  + 12215482754486 x  - 55685197 x - 324

                                 a=, 59, b=, 80

            80               59
theta1 = ln(--), theta2 = ln(--), K1 = 108, K2 = 59, nu = 30.106986311100073952,
            81               60

                  3                   2
    pol = -25488 x  + 63149424661055 x  - 125871886 x - 2401

                                 a=, 59, b=, 84

            84               59
theta1 = ln(--), theta2 = ln(--), K1 = 119, K2 = 59, nu = 31.954282097962335186,
            85               60

                 3                   2
    pol = -7021 x  + 19167028390982 x  + 3818219 x - 900

                                 a=, 59, b=, 95

            95               59
theta1 = ln(--), theta2 = ln(--), K1 = 152, K2 = 59, nu = 164.69797614179828594,
            96               60

                  3                    2
    pol = -35872 x  + 125085171899255 x  + 843643826 x - 8649

                                 a=, 60, b=, 61

            61               60
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 30, nu = 11.168969164600818779,
            62               61

                 3                  2
    pol = -3720 x  + 5561708454959 x  - 55253126 x - 1

                                 a=, 60, b=, 75

            75               60
theta1 = ln(--), theta2 = ln(--), K1 = 95, K2 = 61, nu = 29.441760326080968487,
            76               61

                 3                   2
    pol = -5795 x  + 13057667672901 x  - 65206977 x - 289

                                 a=, 60, b=, 80

            80               60
theta1 = ln(--), theta2 = ln(--), K1 = 108, K2 = 61, nu = 30.840343111979936929,
            81               61

                  3                   2
    pol = -26352 x  + 67503202086335 x  - 176052334 x - 2209

                                 a=, 60, b=, 84

            84               60
theta1 = ln(--), theta2 = ln(--), K1 = 119, K2 = 61, nu = 31.871573403593246126,
            85               61

                 3                   2
    pol = -7259 x  + 20488481056077 x  - 11475177 x - 841

                                 a=, 60, b=, 95

            95               60
theta1 = ln(--), theta2 = ln(--), K1 = 152, K2 = 61, nu = 122.46971118196427541,
            96               61

                  3                    2
    pol = -37088 x  + 133709050906215 x  + 745309074 x - 8281

                                 a=, 60, b=, 99

            99                60
theta1 = ln(---), theta2 = ln(--), K1 = 165, K2 = 61,
            100               61

    nu = 1631.7632114617898785,

                  3                   2
    pol = -10065 x  + 39389539362626 x  + 313692383 x - 2704

                                 a=, 61, b=, 62

            62               61
theta1 = ln(--), theta2 = ln(--), K1 = 63, K2 = 61, nu = 24.259292918742259259,
            63               62

                 3                  2
    pol = -3843 x  + 6131765987045 x  - 58970801 x - 1

                                 a=, 61, b=, 92

            92               61
theta1 = ln(--), theta2 = ln(--), K1 = 138, K2 = 61, nu = 53.616485257266401867,
            93               62

                  3                    2
    pol = -33672 x  + 117682684450055 x  + 339519946 x - 5929

                                 a=, 61, b=, 93

            93               61
theta1 = ln(--), theta2 = ln(--), K1 = 141, K2 = 61, nu = 60.729557322727747088,
            94               62

                 3                   2
    pol = -8601 x  + 30713721905786 x  + 105171151 x - 1600

                                 a=, 62, b=, 63

            63               62
theta1 = ln(--), theta2 = ln(--), K1 = 32, K2 = 31, nu = 11.241233092420733957,
            64               63

                 3                  2
    pol = -3968 x  + 6749702999295 x  - 62872926 x - 1

                                 a=, 62, b=, 69

            69               62
theta1 = ln(--), theta2 = ln(--), K1 = 115, K2 = 93, nu = 81.140138678270214755,
            70               63

                  3                   2
    pol = -10695 x  + 21793020647429 x  - 169960597 x - 121

                                 a=, 62, b=, 77

            77               62
theta1 = ln(--), theta2 = ln(--), K1 = 143, K2 = 93, nu = 103.69045263610890893,
            78               63

                  3                   2
    pol = -13299 x  + 33696973031669 x  - 164531425 x - 625

                                 a=, 62, b=, 83

            83               62
theta1 = ln(--), theta2 = ln(--), K1 = 166, K2 = 93, nu = 123.16108116734173323,
            84               63

                  3                    2
    pol = -61752 x  + 181632396463295 x  - 416025814 x - 5329

                                 a=, 62, b=, 84

            84               62
theta1 = ln(--), theta2 = ln(--), K1 = 170, K2 = 93, nu = 126.62818617052086641,
            85               63

                  3                    2
    pol = -63240 x  + 190491120096071 x  - 349281718 x - 5929

                                 a=, 62, b=, 90

            90               62
theta1 = ln(--), theta2 = ln(--), K1 = 65, K2 = 31, nu = 13.943917768729611996,
            91               63

                 3                  2
    pol = -2015 x  + 6962132992461 x  + 7183587 x - 289

                                 a=, 62, b=, 92

            92               62
theta1 = ln(--), theta2 = ln(--), K1 = 46, K2 = 21, nu = 10.684882323774120223,
            93               63

                 3                   2
    pol = -3864 x  + 13947323633759 x  + 28311050 x - 625

                                 a=, 62, b=, 93

            93               62
theta1 = ln(--), theta2 = ln(--), K1 = 47, K2 = 21, nu = 10.977904996967621322,
            94               63

                3                  2
    pol = -987 x  + 3640078584365 x  + 9232391 x - 169

                                 a=, 62, b=, 98

            98               62
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 31, nu = 18.777468123033214863,
            99               63

                 3                  2
    pol = -2387 x  + 9770024995125 x  + 50212191 x - 529

                                 a=, 63, b=, 64

            64               63
theta1 = ln(--), theta2 = ln(--), K1 = 65, K2 = 63, nu = 24.406680088836846927,
            65               64

                 3                  2
    pol = -4095 x  + 7418683891709 x  - 66965501 x - 1

                                 a=, 63, b=, 69

            69               63
theta1 = ln(--), theta2 = ln(--), K1 = 115, K2 = 96, nu = 85.138912430767088226,
            70               64

                  3                   2
    pol = -44160 x  + 92886673831319 x  - 731548366 x - 361

                                 a=, 63, b=, 71

            71               63
theta1 = ln(--), theta2 = ln(--), K1 = 71, K2 = 56, nu = 22.106973005529245958,
            72               64

                  3                   2
    pol = -15904 x  + 35405733951839 x  - 257949406 x - 225

                                 a=, 63, b=, 72

            72               63
theta1 = ln(--), theta2 = ln(--), K1 = 73, K2 = 56, nu = 22.321125242869117777,
            73               64

                  3                   2
    pol = -16352 x  + 37428483972255 x  - 260822814 x - 289

                                 a=, 63, b=, 77

            77               63
theta1 = ln(--), theta2 = ln(--), K1 = 143, K2 = 96, nu = 111.04253426723409927,
            78               64

                  3                    2
    pol = -54912 x  + 143623951618655 x  - 747680734 x - 2209

                                 a=, 63, b=, 80

            80               63
theta1 = ln(--), theta2 = ln(--), K1 = 45, K2 = 28, nu = 11.288597364724907017,
            81               64

                 3                   2
    pol = -5040 x  + 14222598253631 x  - 57357934 x - 289

                                 a=, 63, b=, 83

            83               63
theta1 = ln(--), theta2 = ln(--), K1 = 83, K2 = 48, nu = 19.638175684682088384,
            84               64

                  3                   2
    pol = -15936 x  + 48384840267191 x  - 135054574 x - 1225

                                 a=, 63, b=, 84

            84               63
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 48, nu = 19.755350209147751075,
            85               64

                  3                   2
    pol = -16320 x  + 50744705226791 x  - 119956174 x - 1369

                                 a=, 63, b=, 90

            90               63
theta1 = ln(--), theta2 = ln(--), K1 = 65, K2 = 32, nu = 13.476644242742264724,
            91               64

                 3                   2
    pol = -8320 x  + 29674150587071 x  + 9575906 x - 1089

                                 a=, 63, b=, 95

            95               63
theta1 = ln(--), theta2 = ln(--), K1 = 95, K2 = 42, nu = 22.705216658579527339,
            96               64

                  3                   2
    pol = -15960 x  + 63386663506871 x  + 171281306 x - 2809

                                 a=, 63, b=, 96

            96               63
theta1 = ln(--), theta2 = ln(--), K1 = 97, K2 = 42, nu = 23.893672786321518433,
            97               64

                  3                   2
    pol = -16296 x  + 66083644566911 x  + 210931706 x - 3025

                                 a=, 63, b=, 98

            98               63
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 32, nu = 18.083076884754431998,
            99               64

                 3                   2
    pol = -9856 x  + 41642007307031 x  + 174251186 x - 2025

                                 a=, 64, b=, 65

            65               64
theta1 = ln(--), theta2 = ln(--), K1 = 33, K2 = 32, nu = 11.311222713275962024,
            66               65

                 3                  2
    pol = -4224 x  + 8142027387647 x  - 71254622 x - 1

                                 a=, 64, b=, 79

            79               64
theta1 = ln(--), theta2 = ln(--), K1 = 79, K2 = 52, nu = 20.707235339219172665,
            80               65

                  3                   2
    pol = -16432 x  + 46660935591815 x  - 222190974 x - 729

                                 a=, 64, b=, 80

            80               64
theta1 = ln(--), theta2 = ln(--), K1 = 81, K2 = 52, nu = 20.855908595766153584,
            81               65

                  3                   2
    pol = -16848 x  + 49053388733015 x  - 215368766 x - 841

                                 a=, 64, b=, 90

            90               64
theta1 = ln(--), theta2 = ln(--), K1 = 63, K2 = 32, nu = 12.963700230878993207,
            91               65

                 3                   2
    pol = -8064 x  + 29674112847167 x  - 9293342 x - 961

                                 a=, 64, b=, 91

            91               64
theta1 = ln(--), theta2 = ln(--), K1 = 161, K2 = 80, nu = 57.749051178467844835,
            92               65

                  3                    2
    pol = -51520 x  + 193797515455199 x  + 24223554 x - 6561

                                 a=, 64, b=, 95

            95               64
theta1 = ln(--), theta2 = ln(--), K1 = 57, K2 = 26, nu = 12.459091910799980414,
            96               65

                 3                   2
    pol = -5928 x  + 24291003420815 x  + 46741594 x - 961

                                 a=, 65, b=, 66

            66               65
theta1 = ln(--), theta2 = ln(--), K1 = 67, K2 = 65, nu = 24.549531970554032713,
            67               66

                 3                  2
    pol = -4355 x  + 8923211471589 x  - 75746481 x - 1

                                 a=, 65, b=, 77

            77               65
theta1 = ln(--), theta2 = ln(--), K1 = 7, K2 = 5, nu = 4.3380070980985593397,
            78               66

               3                2
    pol = -35 x  + 97400983749 x  - 556017 x - 1

                                 a=, 65, b=, 78

            78               65
theta1 = ln(--), theta2 = ln(--), K1 = 79, K2 = 55, nu = 21.600736734642051403,
            79               66

                 3                   2
    pol = -4345 x  + 12405696174266 x  - 66750529 x - 144

                                 a=, 65, b=, 87

            87               65
theta1 = ln(--), theta2 = ln(--), K1 = 116, K2 = 65, nu = 30.427734978023353874,
            88               66

                  3                    2
    pol = -30160 x  + 106989371369399 x  - 223462942 x - 2601

                                 a=, 65, b=, 90

            90               65
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 11, nu = 6.3917387862810448696,
            91               66

                3                 2
    pol = -231 x  + 876602367077 x  - 773941 x - 25

                                 a=, 65, b=, 98

            98               65
theta1 = ln(--), theta2 = ln(--), K1 = 147, K2 = 65, nu = 54.221045010199038052,
            99               66

                 3                   2
    pol = -9555 x  + 42953379766709 x  + 108935519 x - 1681

                                 a=, 65, b=, 99

            99                65
theta1 = ln(---), theta2 = ln(--), K1 = 30, K2 = 13, nu = 8.0191295900485590594,
            100               66

                 3                  2
    pol = -1560 x  + 7155912538031 x  + 21340778 x - 289

                                 a=, 66, b=, 67

            67               66
theta1 = ln(--), theta2 = ln(--), K1 = 34, K2 = 33, nu = 11.379091284021248590,
            68               67

                 3                  2
    pol = -4488 x  + 9765878404655 x  - 80447366 x - 1

                                 a=, 66, b=, 77

            77               66
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 67, nu = 28.375678736097038793,
            78               67

                 3                   2
    pol = -6097 x  + 17489300360570 x  - 103138729 x - 144

                                 a=, 66, b=, 87

            87               66
theta1 = ln(--), theta2 = ln(--), K1 = 116, K2 = 67, nu = 31.089778244394577525,
            88               67

                  3                    2
    pol = -31088 x  + 113674492574655 x  - 286999566 x - 2401

                                 a=, 66, b=, 98

            98               66
theta1 = ln(--), theta2 = ln(--), K1 = 147, K2 = 67, nu = 48.604479336022958962,
            99               67

                 3                   2
    pol = -9849 x  + 45637277673914 x  + 83353199 x - 1600

                                 a=, 66, b=, 99

            99                66
theta1 = ln(---), theta2 = ln(--), K1 = 150, K2 = 67,
            100               67

    nu = 54.064421166659368928,

                  3                    2
    pol = -40200 x  + 190076059952711 x  + 427112906 x - 6889

                                 a=, 67, b=, 68

            68               67
theta1 = ln(--), theta2 = ln(--), K1 = 69, K2 = 67, nu = 24.688029837280176816,
            69               68

                 3                   2
    pol = -4623 x  + 10673839817885 x  - 85363661 x - 1

                                 a=, 67, b=, 84

            84               67
theta1 = ln(--), theta2 = ln(--), K1 = 105, K2 = 67, nu = 29.244427281800590117,
            85               68

                 3                   2
    pol = -7035 x  + 24717002913389 x  - 97012937 x - 361

                                 a=, 68, b=, 69

            69               68
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 34, nu = 11.444985030657832439,
            70               69

                 3                   2
    pol = -4760 x  + 11651081883279 x  - 90501846 x - 1

                                 a=, 68, b=, 84

            84               68
theta1 = ln(--), theta2 = ln(--), K1 = 35, K2 = 23, nu = 9.3006799655747697384,
            85               69

                3                  2
    pol = -805 x  + 2912737954454 x  - 12235021 x - 36

                                 a=, 68, b=, 91

            91               68
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 51, nu = 19.686044848931939863,
            92               69

                 3                   2
    pol = -4641 x  + 19690040937986 x  - 37654289 x - 400

                                 a=, 68, b=, 92

            92               68
theta1 = ln(--), theta2 = ln(--), K1 = 31, K2 = 17, nu = 7.9164875949744671278,
            93               69

                3                  2
    pol = -527 x  + 2285004376365 x  - 3577389 x - 49

                                 a=, 69, b=, 70

            70               69
theta1 = ln(--), theta2 = ln(--), K1 = 71, K2 = 69, nu = 24.822539122118650147,
            71               70

                 3                   2
    pol = -4899 x  + 12701770562597 x  - 95868497 x - 1

                                 a=, 69, b=, 77

            77               69
theta1 = ln(--), theta2 = ln(--), K1 = 143, K2 = 115,
            78               70

    nu = 178.12775094253644144,

                  3                   2
    pol = -16445 x  + 51524896615854 x  - 322430397 x - 196

                                 a=, 69, b=, 83

            83               69
theta1 = ln(--), theta2 = ln(--), K1 = 166, K2 = 115,
            84               70

    nu = 260.79044131915448619,

                  3                    2
    pol = -76360 x  + 277727926511879 x  - 1311320566 x - 2601

                                 a=, 69, b=, 84

            84               69
theta1 = ln(--), theta2 = ln(--), K1 = 34, K2 = 23, nu = 9.1913593589944594085,
            85               70

                 3                   2
    pol = -3128 x  + 11650939993815 x  - 51713286 x - 121

                                 a=, 69, b=, 90

            90               69
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 23, nu = 9.4036315936722093116,
            91               70

                3                  2
    pol = -897 x  + 3832401967850 x  - 10026169 x - 64

                                 a=, 69, b=, 91

            91               69
theta1 = ln(--), theta2 = ln(--), K1 = 26, K2 = 15, nu = 7.2824957349950118299,
            92               70

                 3                  2
    pol = -1560 x  + 6813156039959 x  - 15632486 x - 121

                                 a=, 69, b=, 92

            92               69
theta1 = ln(--), theta2 = ln(--), K1 = 62, K2 = 35, nu = 13.070836153776077932,
            93               70

                 3                   2
    pol = -8680 x  + 38742249416471 x  - 76253878 x - 729

                                 a=, 69, b=, 98

            98               69
theta1 = ln(--), theta2 = ln(--), K1 = 231, K2 = 115,
            99               70

    nu = 3185.3021487265768341,

                  3                    2
    pol = -26565 x  + 134451119569406 x  + 10065371 x - 3364

                                 a=, 70, b=, 71

            71               70
theta1 = ln(--), theta2 = ln(--), K1 = 36, K2 = 35, nu = 11.508967963200736573,
            72               71

                 3                   2
    pol = -5040 x  + 13830256933919 x  - 101470286 x - 1

                                 a=, 70, b=, 84

            84               70
theta1 = ln(--), theta2 = ln(--), K1 = 102, K2 = 71, nu = 29.300346536396066724,
            85               71

                  3                    2
    pol = -28968 x  + 111025201176815 x  - 515428646 x - 961

                                 a=, 70, b=, 90

            90               70
theta1 = ln(--), theta2 = ln(--), K1 = 117, K2 = 71, nu = 30.846546368277442562,
            91               71

                 3                   2
    pol = -8307 x  + 36520074749045 x  - 107261249 x - 529

                                 a=, 71, b=, 72

            72               71
theta1 = ln(--), theta2 = ln(--), K1 = 73, K2 = 71, nu = 24.953253085209779155,
            73               72

                 3                   2
    pol = -5183 x  + 15041082595965 x  - 107313981 x - 1

                                 a=, 71, b=, 80

            80               71
theta1 = ln(--), theta2 = ln(--), K1 = 90, K2 = 71, nu = 27.260816130342673736,
            81               72

                  3                   2
    pol = -25560 x  + 91448331262919 x  - 525652486 x - 361

                                 a=, 72, b=, 73

            73               72
theta1 = ln(--), theta2 = ln(--), K1 = 37, K2 = 36, nu = 11.571150392493325840,
            74               73

                 3                   2
    pol = -5328 x  + 16338985150175 x  - 113406446 x - 1

                                 a=, 72, b=, 80

            80               72
theta1 = ln(--), theta2 = ln(--), K1 = 90, K2 = 73, nu = 27.679876970737047374,
            81               73

                  3                   2
    pol = -26280 x  + 96672827220911 x  - 562602598 x - 289

                                 a=, 73, b=, 74

            74               73
theta1 = ln(--), theta2 = ln(--), K1 = 75, K2 = 73, nu = 25.080447720780866302,
            75               74

                 3                   2
    pol = -5475 x  + 17728903760549 x  - 119754641 x - 1

                                 a=, 74, b=, 75

            75               74
theta1 = ln(--), theta2 = ln(--), K1 = 38, K2 = 37, nu = 11.631730872850903115,
            76               75

                 3                   2
    pol = -5624 x  + 19215984791247 x  - 126365622 x - 1

                                 a=, 74, b=, 99

            99                74
theta1 = ln(---), theta2 = ln(--), K1 = 66, K2 = 37, nu = 13.097802948152278089,
            100               75

                 3                   2
    pol = -9768 x  + 57966614579495 x  - 93944086 x - 841

                                a=, 74, b=, 100

            100               74
theta1 = ln(---), theta2 = ln(--), K1 = 202, K2 = 111,
            101               75

    nu = 131.21308571709359383,

                  3                    2
    pol = -89688 x  + 542991036000695 x  - 733745126 x - 8281

                                 a=, 75, b=, 76

            76               75
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 75, nu = 25.204172947248521253,
            77               76

                 3                   2
    pol = -5775 x  + 20805587521949 x  - 133246541 x - 1

                                 a=, 75, b=, 80

            80               75
theta1 = ln(--), theta2 = ln(--), K1 = 108, K2 = 95, nu = 43.008151903164970368,
            81               76

                  3                    2
    pol = -41040 x  + 163721169211511 x  - 966840382 x - 169

                                 a=, 75, b=, 84

            84               75
theta1 = ln(--), theta2 = ln(--), K1 = 119, K2 = 95, nu = 45.744647676210039087,
            85               76

                  3                   2
    pol = -11305 x  + 49692428954066 x  - 260740057 x - 144

                                 a=, 75, b=, 94

            94               75
theta1 = ln(--), theta2 = ln(--), K1 = 47, K2 = 30, nu = 10.724031933506820774,
            95               76

                 3                   2
    pol = -5640 x  + 31006302368591 x  - 97382342 x - 289

                                 a=, 75, b=, 95

            95               75
theta1 = ln(--), theta2 = ln(--), K1 = 8, K2 = 5, nu = 4.3086701282947464772,
            96               76

                3                 2
    pol = -160 x  + 898326201911 x  - 2608462 x - 9

                                 a=, 75, b=, 99

            99                75
theta1 = ln(---), theta2 = ln(--), K1 = 33, K2 = 19, nu = 8.0778523529506971950,
            100               76

                3                  2
    pol = -627 x  + 3821389942805 x  - 7332529 x - 49

                                a=, 75, b=, 100

            100               75
theta1 = ln(---), theta2 = ln(--), K1 = 101, K2 = 57,
            101               76

    nu = 20.363115568336316859,

                 3                   2
    pol = -5757 x  + 35796130221830 x  - 59570789 x - 484

                                 a=, 76, b=, 77

            77               76
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 38, nu = 11.690580500417907975,
            78               77

                 3                   2
    pol = -5928 x  + 22503289940975 x  - 140404646 x - 1

                                 a=, 76, b=, 87

            87               76
theta1 = ln(--), theta2 = ln(--), K1 = 174, K2 = 133,
            88               77

    nu = 499.57291694477682112,

                  3                    2
    pol = -92568 x  + 447932631002975 x  - 2137595126 x - 1681

                                 a=, 76, b=, 88

            88               76
theta1 = ln(--), theta2 = ln(--), K1 = 178, K2 = 133,
            89               77

    nu = 576.07747350026720801,

                  3                    2
    pol = -94696 x  + 468763724997671 x  - 2148369174 x - 2025

                                 a=, 76, b=, 95

            95               76
theta1 = ln(--), theta2 = ln(--), K1 = 120, K2 = 77, nu = 30.636787470482873422,
            96               77

                  3                    2
    pol = -36960 x  + 213046880247431 x  - 663831854 x - 1849

                                 a=, 76, b=, 98

            98               76
theta1 = ln(--), theta2 = ln(--), K1 = 63, K2 = 38, nu = 12.985120963402176033,
            99               77

                 3                   2
    pol = -9576 x  + 58720981996031 x  - 142358534 x - 625

                                 a=, 77, b=, 78

            78               77
theta1 = ln(--), theta2 = ln(--), K1 = 79, K2 = 77, nu = 25.324730762442803257,
            79               78

                 3                   2
    pol = -6083 x  + 24314894616165 x  - 147847281 x - 1

                                 a=, 77, b=, 83

            83               77
theta1 = ln(--), theta2 = ln(--), K1 = 166, K2 = 143,
            84               78

    nu = 131662.72657656867851,

                  3                    2
    pol = -94952 x  + 429430623731295 x  - 2354822214 x - 529

                                 a=, 77, b=, 87

            87               77
theta1 = ln(--), theta2 = ln(--), K1 = 116, K2 = 91, nu = 38.867111828551833801,
            88               78

                  3                    2
    pol = -42224 x  + 209696840332719 x  - 1017149550 x - 625

                                 a=, 77, b=, 90

            90               77
theta1 = ln(--), theta2 = ln(--), K1 = 15, K2 = 11, nu = 5.8261080790091208056,
            91               78

                3                 2
    pol = -165 x  + 876592637246 x  - 3776293 x - 4

                                 a=, 77, b=, 91

            91               77
theta1 = ln(--), theta2 = ln(--), K1 = 46, K2 = 33, nu = 11.107134989834131120,
            92               78

                 3                   2
    pol = -6072 x  + 32975452441895 x  - 135734054 x - 169

                                 a=, 77, b=, 98

            98               77
theta1 = ln(--), theta2 = ln(--), K1 = 21, K2 = 13, nu = 6.4628702145866110403,
            99               78

                3                  2
    pol = -273 x  + 1718116120250 x  - 4555561 x - 16

                                 a=, 77, b=, 99

            99                77
theta1 = ln(---), theta2 = ln(--), K1 = 150, K2 = 91,
            100               78

    nu = 44.284634327914997459,

                  3                    2
    pol = -54600 x  + 350635822442519 x  - 851082262 x - 3481

                                 a=, 78, b=, 79

            79               78
theta1 = ln(--), theta2 = ln(--), K1 = 40, K2 = 39, nu = 11.748050153938539263,
            80               79

                 3                   2
    pol = -6240 x  + 26246434643519 x  - 155581886 x - 1

                                 a=, 78, b=, 90

            90               78
theta1 = ln(--), theta2 = ln(--), K1 = 105, K2 = 79, nu = 28.932741531828767958,
            91               79

                 3                   2
    pol = -8295 x  + 45213312444341 x  - 199299829 x - 169

                                 a=, 79, b=, 80

            80               79
theta1 = ln(--), theta2 = ln(--), K1 = 81, K2 = 79, nu = 25.441986091718738721,
            81               80

                 3                   2
    pol = -6399 x  + 28304179673597 x  - 163615997 x - 1

                                 a=, 79, b=, 95

            95               79
theta1 = ln(--), theta2 = ln(--), K1 = 114, K2 = 79, nu = 29.272379549285518962,
            96               80

                  3                    2
    pol = -36024 x  + 224257509793703 x  - 809830694 x - 1225

                                 a=, 80, b=, 81

            81               80
theta1 = ln(--), theta2 = ln(--), K1 = 41, K2 = 40, nu = 11.804026768011843146,
            82               81

                 3                   2
    pol = -6560 x  + 30494642015679 x  - 171957246 x - 1

                                 a=, 80, b=, 84

            84               80
theta1 = ln(--), theta2 = ln(--), K1 = 119, K2 = 108,
            85               81

    nu = 51.099886926341803439,

                  3                    2
    pol = -51408 x  + 256891058788775 x  - 1374036766 x - 121

                                 a=, 80, b=, 89

            89               80
theta1 = ln(--), theta2 = ln(--), K1 = 89, K2 = 72, nu = 23.366021784363469232,
            90               81

                  3                    2
    pol = -25632 x  + 143692459418015 x  - 675838654 x - 289

                                 a=, 80, b=, 90

            90               80
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 72, nu = 23.551297989285855326,
            91               81

                  3                    2
    pol = -26208 x  + 150223041573335 x  - 684234286 x - 361

                                 a=, 80, b=, 95

            95               80
theta1 = ln(--), theta2 = ln(--), K1 = 38, K2 = 27, nu = 9.4587732387810514938,
            96               81

                 3                   2
    pol = -4104 x  + 26195099854487 x  - 97847062 x - 121

                                 a=, 80, b=, 96

            96               80
theta1 = ln(--), theta2 = ln(--), K1 = 194, K2 = 135,
            97               81

    nu = 332.09025902099915611,

                   3                    2
    pol = -104760 x  + 682741278845399 x  - 2429286406 x - 3481

                                 a=, 80, b=, 99

            99                80
theta1 = ln(---), theta2 = ln(--), K1 = 55, K2 = 36, nu = 11.829243028284732349,
            100               81

                 3                   2
    pol = -7920 x  + 54875389868279 x  - 164855518 x - 361

                                 a=, 81, b=, 82

            82               81
theta1 = ln(--), theta2 = ln(--), K1 = 83, K2 = 81, nu = 25.556592701231727515,
            83               82

                 3                   2
    pol = -6723 x  + 32824582819685 x  - 180613361 x - 1

                                 a=, 82, b=, 83

            83               82
theta1 = ln(--), theta2 = ln(--), K1 = 42, K2 = 41, nu = 11.858555569290060822,
            84               83

                 3                   2
    pol = -6888 x  + 35301018335855 x  - 189592166 x - 1

                                 a=, 83, b=, 84

            84               83
theta1 = ln(--), theta2 = ln(--), K1 = 85, K2 = 83, nu = 25.668420801039753785,
            85               84

                 3                   2
    pol = -7055 x  + 37931226252189 x  - 198901581 x - 1

                                 a=, 84, b=, 85

            85               84
theta1 = ln(--), theta2 = ln(--), K1 = 43, K2 = 42, nu = 11.911910764908746633,
            86               85

                 3                   2
    pol = -7224 x  + 40722752109647 x  - 208549622 x - 1

                                 a=, 84, b=, 90

            90               84
theta1 = ln(--), theta2 = ln(--), K1 = 39, K2 = 34, nu = 10.406698881144734065,
            91               85

                 3                   2
    pol = -5304 x  + 33498731327543 x  - 156493894 x - 25

                                 a=, 84, b=, 95

            95               84
theta1 = ln(--), theta2 = ln(--), K1 = 152, K2 = 119,
            96               85

    nu = 68.974785597733743680,

                  3                    2
    pol = -72352 x  + 508844893195775 x  - 2069642974 x - 1089

                                 a=, 84, b=, 99

            99                84
theta1 = ln(---), theta2 = ln(--), K1 = 165, K2 = 119,
            100               85

    nu = 74.117578595079916626,

                  3                    2
    pol = -19635 x  + 149901340365941 x  - 524952817 x - 529

                                 a=, 85, b=, 86

            86               85
theta1 = ln(--), theta2 = ln(--), K1 = 87, K2 = 85, nu = 25.777200991927542814,
            87               86

                 3                   2
    pol = -7395 x  + 43683415795109 x  - 218544401 x - 1

                                 a=, 86, b=, 87

            87               86
theta1 = ln(--), theta2 = ln(--), K1 = 44, K2 = 43, nu = 11.964035306954930925,
            88               87

                 3                   2
    pol = -7568 x  + 46821318112095 x  - 228894126 x - 1

                                 a=, 87, b=, 88

            88               87
theta1 = ln(--), theta2 = ln(--), K1 = 89, K2 = 87, nu = 25.884239646325281075,
            89               88

                 3                   2
    pol = -7743 x  + 50144847429245 x  - 239607101 x - 1

                                 a=, 87, b=, 98

            98               87
theta1 = ln(--), theta2 = ln(--), K1 = 147, K2 = 116,
            99               88

    nu = 55.374644357577559592,

                  3                    2
    pol = -68208 x  + 547191295937375 x  - 2101078606 x - 961

                                 a=, 87, b=, 99

            99                87
theta1 = ln(---), theta2 = ln(--), K1 = 75, K2 = 58, nu = 16.585532480811591348,
            100               88

                  3                    2
    pol = -17400 x  + 142438335053711 x  - 529786678 x - 289

                                 a=, 88, b=, 89

            89               88
theta1 = ln(--), theta2 = ln(--), K1 = 45, K2 = 44, nu = 12.014846631203220918,
            90               89

                 3                   2
    pol = -7920 x  + 53662686406559 x  - 250691726 x - 1

                                 a=, 89, b=, 90

            90               89
theta1 = ln(--), theta2 = ln(--), K1 = 91, K2 = 89, nu = 25.987627862937849547,
            91               90

                 3                   2
    pol = -8099 x  + 57383818799397 x  - 262156497 x - 1

                                 a=, 89, b=, 99

            99                89
theta1 = ln(---), theta2 = ln(--), K1 = 110, K2 = 89,
            100               90

    nu = 28.161181356663643477,

                  3                    2
    pol = -39160 x  + 335390299198679 x  - 1276376518 x - 441

                                 a=, 90, b=, 91

            91               90
theta1 = ln(--), theta2 = ln(--), K1 = 46, K2 = 45, nu = 12.064550591507963914,
            92               91

                 3                   2
    pol = -8280 x  + 61317536340239 x  - 274010006 x - 1

                                 a=, 90, b=, 98

            98               90
theta1 = ln(--), theta2 = ln(--), K1 = 77, K2 = 65, nu = 17.776580142758049878,
            99               91

                 3                   2
    pol = -5005 x  + 42952585165454 x  - 168798061 x - 36

                                 a=, 90, b=, 99

            99                90
theta1 = ln(---), theta2 = ln(--), K1 = 110, K2 = 91,
            100               91

    nu = 28.499368936483362971,

                  3                    2
    pol = -40040 x  + 350633227824519 x  - 1344198678 x - 361

                                 a=, 91, b=, 92

            92               91
theta1 = ln(--), theta2 = ln(--), K1 = 93, K2 = 91, nu = 26.090204932665215256,
            93               92

                 3                   2
    pol = -8463 x  + 65473445698205 x  - 286260941 x - 1

                                 a=, 92, b=, 93

            93               92
theta1 = ln(--), theta2 = ln(--), K1 = 47, K2 = 46, nu = 12.113306960184668977,
            94               93

                 3                   2
    pol = -8648 x  + 69861475516335 x  - 298918086 x - 1

                                 a=, 93, b=, 94

            94               93
theta1 = ln(--), theta2 = ln(--), K1 = 95, K2 = 93, nu = 26.189728742919805440,
            95               94

                 3                   2
    pol = -8835 x  + 74491883526629 x  - 311990321 x - 1

                                 a=, 94, b=, 95

            95               94
theta1 = ln(--), theta2 = ln(--), K1 = 48, K2 = 47, nu = 12.160892346161098349,
            96               95

                 3                   2
    pol = -9024 x  + 79375263742847 x  - 325486622 x - 1

                                 a=, 95, b=, 96

            96               95
theta1 = ln(--), theta2 = ln(--), K1 = 97, K2 = 95, nu = 26.287224062045066553,
            97               96

                 3                   2
    pol = -9215 x  + 84522553731069 x  - 339416061 x - 1

                                 a=, 95, b=, 99

            99                95
theta1 = ln(---), theta2 = ln(--), K1 = 165, K2 = 152,
            100               96

    nu = 107.58071029681736931,

                   3                    2
    pol = -100320 x  + 978265099035671 x  - 3764842702 x - 169

                                 a=, 96, b=, 97

            97               96
theta1 = ln(--), theta2 = ln(--), K1 = 49, K2 = 48, nu = 12.207426710896775684,
            98               97

                 3                   2
    pol = -9408 x  + 89945041958015 x  - 353787806 x - 1

                                 a=, 97, b=, 98

            98               97
theta1 = ln(--), theta2 = ln(--), K1 = 99, K2 = 97, nu = 26.382570780250123670,
            99               98

                 3                   2
    pol = -9603 x  + 95654375217125 x  - 368611121 x - 1

                                 a=, 98, b=, 99

            99                98
theta1 = ln(---), theta2 = ln(--), K1 = 50, K2 = 49, nu = 12.253227402274554046,
            100               99

                 3                    2
    pol = -9800 x  + 101662566132399 x  - 383895366 x - 1

                                a=, 99, b=, 100

            100               99
theta1 = ln(---), theta2 = ln(---), K1 = 101, K2 = 99,
            101               100

    nu = 26.476457963429031767,

                 3                    2
    pol = -9999 x  + 107982000739997 x  - 399649997 x - 1



         --------------------------------------------------------------



  This concludes this paper, that took, 64399.707 , seconds to generate.