LMFDB - Embedded newform 63.2.i.b.38.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [63,2,Mod(5,63)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(63, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([5, 5]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("63.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 63 = 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	63.i (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$0.503057532734$
Analytic rank:	$0$
Dimension:	$10$
Relative dimension:	$5$ over $\Q(\zeta_{6})$
Coefficient field:	10.0.288778218147.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 $ x^10 - x^9 + 7x^8 - 4x^7 + 34x^6 - 19x^5 + 64x^4 - x^3 + 64x^2 - 21*x + 9
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			38.5
Root			$0.827154 + 1.43267i$ of defining polynomial
Character	$\chi$	$=$	63.38
Dual form			63.2.i.b.5.1

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+2.09548i q^{2} +(-1.72861 + 0.109097i) q^{3} -2.39104 q^{4} +(-1.04492 + 1.80985i) q^{5} +(-0.228612 - 3.62227i) q^{6} +(2.60068 - 0.486271i) q^{7} -0.819421i q^{8} +(2.97620 - 0.377174i) q^{9} +O(q^{10})$	\(q+2.09548i q^{2} +(-1.72861 + 0.109097i) q^{3} -2.39104 q^{4} +(-1.04492 + 1.80985i) q^{5} +(-0.228612 - 3.62227i) q^{6} +(2.60068 - 0.486271i) q^{7} -0.819421i q^{8} +(2.97620 - 0.377174i) q^{9} +(-3.79250 - 2.18960i) q^{10} +(2.79620 - 1.61439i) q^{11} +(4.13318 - 0.260856i) q^{12} +(-2.68740 + 1.55157i) q^{13} +(1.01897 + 5.44968i) q^{14} +(1.60880 - 3.24252i) q^{15} -3.06500 q^{16} +(0.816304 - 1.41388i) q^{17} +(0.790361 + 6.23656i) q^{18} +(4.79094 - 2.76605i) q^{19} +(2.49844 - 4.32742i) q^{20} +(-4.44252 + 1.12430i) q^{21} +(3.38292 + 5.85939i) q^{22} +(-1.00527 - 0.580391i) q^{23} +(0.0893966 + 1.41646i) q^{24} +(0.316304 + 0.547854i) q^{25} +(-3.25129 - 5.63139i) q^{26} +(-5.10354 + 0.976682i) q^{27} +(-6.21834 + 1.16270i) q^{28} +(-7.05749 - 4.07464i) q^{29} +(6.79464 + 3.37122i) q^{30} -5.96849i q^{31} -8.06150i q^{32} +(-4.65742 + 3.09571i) q^{33} +(2.96276 + 1.71055i) q^{34} +(-1.83741 + 5.21495i) q^{35} +(-7.11621 + 0.901839i) q^{36} +(2.82656 + 4.89575i) q^{37} +(5.79620 + 10.0393i) q^{38} +(4.47620 - 2.97525i) q^{39} +(1.48303 + 0.856225i) q^{40} +(1.35369 + 2.34465i) q^{41} +(-2.35595 - 9.30921i) q^{42} +(-0.974903 + 1.68858i) q^{43} +(-6.68583 + 3.86007i) q^{44} +(-2.42725 + 5.78057i) q^{45} +(1.21620 - 2.10652i) q^{46} +8.13518 q^{47} +(5.29820 - 0.334384i) q^{48} +(6.52708 - 2.52927i) q^{49} +(-1.14802 + 0.662809i) q^{50} +(-1.25682 + 2.53311i) q^{51} +(6.42568 - 3.70987i) q^{52} +(-5.27766 - 3.04706i) q^{53} +(-2.04662 - 10.6944i) q^{54} +6.74759i q^{55} +(-0.398461 - 2.13105i) q^{56} +(-7.97990 + 5.30410i) q^{57} +(8.53834 - 14.7888i) q^{58} -3.96206 q^{59} +(-3.84672 + 7.75300i) q^{60} +4.79219i q^{61} +12.5068 q^{62} +(7.55673 - 2.42815i) q^{63} +10.7627 q^{64} -6.48504i q^{65} +(-6.48700 - 9.75954i) q^{66} -0.673961 q^{67} +(-1.95182 + 3.38065i) q^{68} +(1.80103 + 0.893598i) q^{69} +(-10.9278 - 3.85027i) q^{70} -7.01535i q^{71} +(-0.309064 - 2.43876i) q^{72} +(-2.96276 - 1.71055i) q^{73} +(-10.2590 + 5.92301i) q^{74} +(-0.606536 - 0.912519i) q^{75} +(-11.4553 + 6.61374i) q^{76} +(6.48700 - 5.55822i) q^{77} +(6.23458 + 9.37978i) q^{78} -14.1595 q^{79} +(3.20267 - 5.54718i) q^{80} +(8.71548 - 2.24509i) q^{81} +(-4.91318 + 2.83662i) q^{82} +(-1.54535 + 2.67662i) q^{83} +(10.6222 - 2.68825i) q^{84} +(1.70594 + 2.95477i) q^{85} +(-3.53839 - 2.04289i) q^{86} +(12.6442 + 6.27352i) q^{87} +(-1.32286 - 2.29127i) q^{88} +(2.45766 + 4.25679i) q^{89} +(-12.1131 - 5.08625i) q^{90} +(-6.23458 + 5.34194i) q^{91} +(2.40363 + 1.38774i) q^{92} +(0.651146 + 10.3172i) q^{93} +17.0471i q^{94} +11.5611i q^{95} +(0.879488 + 13.9352i) q^{96} +(-2.07939 - 1.20054i) q^{97} +(5.30004 + 13.6774i) q^{98} +(7.71314 - 5.85939i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9}+O(q^{10}) $ 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9	$ 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9} - 15 q^{10} - 12 q^{11} - 12 q^{12} - 6 q^{13} + 12 q^{14} - 3 q^{15} + 12 q^{16} + 12 q^{17} + 24 q^{18} + 3 q^{19} + 3 q^{20} - 9 q^{21} + 5 q^{22} - 15 q^{23} + 7 q^{25} - 3 q^{26} - 27 q^{27} + 2 q^{28} - 15 q^{29} + 6 q^{30} - 3 q^{34} + 15 q^{35} - 18 q^{36} + 6 q^{37} + 18 q^{38} + 18 q^{39} + 15 q^{40} + 9 q^{41} - 12 q^{42} + 3 q^{43} - 24 q^{44} + 30 q^{45} - 13 q^{46} + 30 q^{47} + 15 q^{48} + 4 q^{49} + 3 q^{50} + 21 q^{51} - 12 q^{52} + 9 q^{53} + 9 q^{54} - 30 q^{56} - 36 q^{57} + 8 q^{58} - 36 q^{59} - 48 q^{60} - 12 q^{62} - 15 q^{63} + 6 q^{64} - 39 q^{66} + 20 q^{67} - 27 q^{68} + 3 q^{69} + 6 q^{70} - 30 q^{72} + 3 q^{73} - 30 q^{74} + 6 q^{75} - 9 q^{76} + 39 q^{77} + 24 q^{78} - 40 q^{79} + 30 q^{80} + 15 q^{81} + 9 q^{82} + 15 q^{83} + 93 q^{84} + 18 q^{85} + 54 q^{86} + 6 q^{87} - 8 q^{88} - 24 q^{89} - 24 q^{90} - 24 q^{91} + 39 q^{92} + 36 q^{93} + 33 q^{96} - 6 q^{97} - 45 q^{98} + 21 q^{99}+O(q^{100}) $ 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9 - 15 * q^10 - 12 * q^11 - 12 * q^12 - 6 * q^13 + 12 * q^14 - 3 * q^15 + 12 * q^16 + 12 * q^17 + 24 * q^18 + 3 * q^19 + 3 * q^20 - 9 * q^21 + 5 * q^22 - 15 * q^23 + 7 * q^25 - 3 * q^26 - 27 * q^27 + 2 * q^28 - 15 * q^29 + 6 * q^30 - 3 * q^34 + 15 * q^35 - 18 * q^36 + 6 * q^37 + 18 * q^38 + 18 * q^39 + 15 * q^40 + 9 * q^41 - 12 * q^42 + 3 * q^43 - 24 * q^44 + 30 * q^45 - 13 * q^46 + 30 * q^47 + 15 * q^48 + 4 * q^49 + 3 * q^50 + 21 * q^51 - 12 * q^52 + 9 * q^53 + 9 * q^54 - 30 * q^56 - 36 * q^57 + 8 * q^58 - 36 * q^59 - 48 * q^60 - 12 * q^62 - 15 * q^63 + 6 * q^64 - 39 * q^66 + 20 * q^67 - 27 * q^68 + 3 * q^69 + 6 * q^70 - 30 * q^72 + 3 * q^73 - 30 * q^74 + 6 * q^75 - 9 * q^76 + 39 * q^77 + 24 * q^78 - 40 * q^79 + 30 * q^80 + 15 * q^81 + 9 * q^82 + 15 * q^83 + 93 * q^84 + 18 * q^85 + 54 * q^86 + 6 * q^87 - 8 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 39 * q^92 + 36 * q^93 + 33 * q^96 - 6 * q^97 - 45 * q^98 + 21 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/63\mathbb{Z}\right)^\times$.

$n$	$10$	$29$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$			2.09548i			1.48173i	0.671655	+	0.740865i	$0.265584\pi$
$2$			2.09548i			1.48173i	−0.671655	+	0.740865i	$0.734416\pi$
$3$	−1.72861	+	0.109097i	−0.998014	+	0.0629874i
$3$	−1.72861	+	0.109097i	−0.998014	+	0.0629874i
$4$	−2.39104			−1.19552
$5$	−1.04492	+	1.80985i	−0.467300	+	0.809388i	−0.999302	−	0.0373553i	$-0.988107\pi$
$5$	−1.04492	+	1.80985i	−0.467300	+	0.809388i	0.532002	+	0.846743i	$0.321440\pi$
$6$	−0.228612	−	3.62227i	−0.0933303	−	1.47879i
$7$	2.60068	−	0.486271i	0.982965	−	0.183793i
$7$	2.60068	−	0.486271i	0.982965	−	0.183793i
$8$		−	0.819421i		−	0.289709i
$9$	2.97620	−	0.377174i	0.992065	−	0.125725i
$10$	−3.79250	−	2.18960i	−1.19929	−	0.692412i
$11$	2.79620	−	1.61439i	0.843086	−	0.486756i	−0.0152257	−	0.999884i	$-0.504847\pi$
$11$	2.79620	−	1.61439i	0.843086	−	0.486756i	0.858312	+	0.513128i	$0.171513\pi$
$12$	4.13318	−	0.260856i	1.19315	−	0.0753028i
$13$	−2.68740	+	1.55157i	−0.745350	+	0.430328i	−0.824011	−	0.566573i	$-0.808269\pi$
$13$	−2.68740	+	1.55157i	−0.745350	+	0.430328i	0.0786612	+	0.996901i	$0.474935\pi$
$14$	1.01897	+	5.44968i	0.272332	+	1.45649i
$15$	1.60880	−	3.24252i	0.415391	−	0.837215i
$16$	−3.06500			−0.766251
$17$	0.816304	−	1.41388i	0.197983	−	0.342916i	−0.749891	−	0.661561i	$-0.769894\pi$
$17$	0.816304	−	1.41388i	0.197983	−	0.342916i	0.947874	+	0.318645i	$0.103228\pi$
$18$	0.790361	+	6.23656i	0.186290	+	1.46997i
$19$	4.79094	−	2.76605i	1.09912	−	0.634575i	0.163127	−	0.986605i	$-0.447842\pi$
$19$	4.79094	−	2.76605i	1.09912	−	0.634575i	0.935989	+	0.352030i	$0.114509\pi$
$20$	2.49844	−	4.32742i	0.558667	−	0.967640i
$21$	−4.44252	+	1.12430i	−0.969436	+	0.245343i
$22$	3.38292	+	5.85939i	0.721241	+	1.24923i
$23$	−1.00527	−	0.580391i	−0.209612	−	0.121020i	0.391519	−	0.920170i	$-0.371950\pi$
$23$	−1.00527	−	0.580391i	−0.209612	−	0.121020i	−0.601131	+	0.799150i	$0.705283\pi$
$24$	0.0893966	+	1.41646i	0.0182480	+	0.289134i
$25$	0.316304	+	0.547854i	0.0632608	+	0.109571i
$26$	−3.25129	−	5.63139i	−0.637630	−	1.10441i
$27$	−5.10354	+	0.976682i	−0.982176	+	0.187963i
$28$	−6.21834	+	1.16270i	−1.17516	+	0.219729i
$29$	−7.05749	−	4.07464i	−1.31054	−	0.756643i	−0.328357	−	0.944554i	$-0.606495\pi$
$29$	−7.05749	−	4.07464i	−1.31054	−	0.756643i	−0.982186	+	0.187911i	$0.939828\pi$
$30$	6.79464	+	3.37122i	1.24053	+	0.615497i
$31$		−	5.96849i		−	1.07197i	−0.844227	−	0.535986i	$-0.819940\pi$
$31$		−	5.96849i		−	1.07197i	0.844227	−	0.535986i	$-0.180060\pi$
$32$		−	8.06150i		−	1.42508i
$33$	−4.65742	+	3.09571i	−0.810753	+	0.538893i
$34$	2.96276	+	1.71055i	0.508109	+	0.293357i
$35$	−1.83741	+	5.21495i	−0.310580	+	0.881487i
$36$	−7.11621	+	0.901839i	−1.18603	+	0.150306i
$37$	2.82656	+	4.89575i	0.464684	+	0.804857i	0.999187	−	0.0403097i	$-0.0128345\pi$
$37$	2.82656	+	4.89575i	0.464684	+	0.804857i	−0.534503	+	0.845167i	$0.679501\pi$
$38$	5.79620	+	10.0393i	0.940268	+	1.62859i
$39$	4.47620	−	2.97525i	0.716765	−	0.476421i
$40$	1.48303	+	0.856225i	0.234487	+	0.135381i
$41$	1.35369	+	2.34465i	0.211410	+	0.366173i	0.952156	−	0.305612i	$-0.0988611\pi$
$41$	1.35369	+	2.34465i	0.211410	+	0.366173i	−0.740746	+	0.671785i	$0.765528\pi$
$42$	−2.35595	−	9.30921i	−0.363531	−	1.43644i
$43$	−0.974903	+	1.68858i	−0.148671	+	0.257506i	−0.930737	−	0.365690i	$-0.880833\pi$
$43$	−0.974903	+	1.68858i	−0.148671	+	0.257506i	0.782065	+	0.623196i	$0.214166\pi$
$44$	−6.68583	+	3.86007i	−1.00793	+	0.581927i
$45$	−2.42725	+	5.78057i	−0.361832	+	0.861717i
$46$	1.21620	−	2.10652i	0.179319	−	0.310589i
$47$	8.13518			1.18664			0.593319	−	0.804967i	$-0.297817\pi$
$47$	8.13518			1.18664			0.593319	+	0.804967i	$0.297817\pi$
$48$	5.29820	−	0.334384i	0.764729	−	0.0482641i
$49$	6.52708	−	2.52927i	0.932440	−	0.361325i
$50$	−1.14802	+	0.662809i	−0.162354	+	0.0937353i
$51$	−1.25682	+	2.53311i	−0.175990	+	0.354706i
$52$	6.42568	−	3.70987i	0.891082	−	0.514466i
$53$	−5.27766	−	3.04706i	−0.724943	−	0.418546i	0.0916264	−	0.995793i	$-0.470793\pi$
$53$	−5.27766	−	3.04706i	−0.724943	−	0.418546i	−0.816569	+	0.577248i	$0.804127\pi$
$54$	−2.04662	−	10.6944i	−0.278510	−	1.45532i
$55$			6.74759i			0.909845i
$56$	−0.398461	−	2.13105i	−0.0532466	−	0.284774i
$57$	−7.97990	+	5.30410i	−1.05696	+	0.702545i
$58$	8.53834	−	14.7888i	1.12114	−	1.94187i
$59$	−3.96206			−0.515816			−0.257908	−	0.966170i	$-0.583033\pi$
$59$	−3.96206			−0.515816			−0.257908	+	0.966170i	$0.583033\pi$
$60$	−3.84672	+	7.75300i	−0.496609	+	1.00091i
$61$			4.79219i			0.613577i	0.951778	+	0.306788i	$0.0992544\pi$
$61$			4.79219i			0.613577i	−0.951778	+	0.306788i	$0.900746\pi$
$62$	12.5068			1.58837
$63$	7.55673	−	2.42815i	0.952058	−	0.305918i
$64$	10.7627			1.34534
$65$		−	6.48504i		−	0.804370i
$66$	−6.48700	−	9.75954i	−0.798494	−	1.20132i
$67$	−0.673961			−0.0823375			−0.0411687	−	0.999152i	$-0.513108\pi$
$67$	−0.673961			−0.0823375			−0.0411687	+	0.999152i	$0.513108\pi$
$68$	−1.95182	+	3.38065i	−0.236693	+	0.409963i
$69$	1.80103	+	0.893598i	0.216819	+	0.107577i
$70$	−10.9278	−	3.85027i	−1.30612	−	0.460195i
$71$		−	7.01535i		−	0.832568i	−0.909235	−	0.416284i	$-0.863332\pi$
$71$		−	7.01535i		−	0.832568i	0.909235	−	0.416284i	$-0.136668\pi$
$72$	−0.309064	−	2.43876i	−0.0364236	−	0.287410i
$73$	−2.96276	−	1.71055i	−0.346765	−	0.200205i	0.316495	−	0.948594i	$-0.397494\pi$
$73$	−2.96276	−	1.71055i	−0.346765	−	0.200205i	−0.663259	+	0.748390i	$0.730827\pi$
$74$	−10.2590	+	5.92301i	−1.19258	+	0.688536i
$75$	−0.606536	−	0.912519i	−0.0700367	−	0.105369i
$76$	−11.4553	+	6.61374i	−1.31402	+	0.758648i
$77$	6.48700	−	5.55822i	0.739262	−	0.633418i
$78$	6.23458	+	9.37978i	0.705927	+	1.06205i
$79$	−14.1595			−1.59306			−0.796532	−	0.604596i	$-0.793335\pi$
$79$	−14.1595			−1.59306			−0.796532	+	0.604596i	$0.793335\pi$
$80$	3.20267	−	5.54718i	0.358069	−	0.620194i
$81$	8.71548	−	2.24509i	0.968387	−	0.249454i
$82$	−4.91318	+	2.83662i	−0.542570	+	0.313253i
$83$	−1.54535	+	2.67662i	−0.169624	+	0.293798i	−0.938288	−	0.345856i	$-0.887589\pi$
$83$	−1.54535	+	2.67662i	−0.169624	+	0.293798i	0.768664	+	0.639653i	$0.220922\pi$
$84$	10.6222	−	2.68825i	1.15898	−	0.293312i
$85$	1.70594	+	2.95477i	0.185035	+	0.320490i
$86$	−3.53839	−	2.04289i	−0.381554	−	0.220291i
$87$	12.6442	+	6.27352i	1.35560	+	0.672592i
$88$	−1.32286	−	2.29127i	−0.141018	−	0.244250i
$89$	2.45766	+	4.25679i	0.260511	+	0.451219i	0.966378	−	0.257126i	$-0.0827756\pi$
$89$	2.45766	+	4.25679i	0.260511	+	0.451219i	−0.705867	+	0.708345i	$0.749442\pi$
$90$	−12.1131	−	5.08625i	−1.27683	−	0.536138i
$91$	−6.23458	+	5.34194i	−0.653562	+	0.559988i
$92$	2.40363	+	1.38774i	0.250596	+	0.144682i
$93$	0.651146	+	10.3172i	0.0675207	+	1.06984i
$94$			17.0471i			1.75828i
$95$			11.5611i			1.18615i
$96$	0.879488	+	13.9352i	0.0897624	+	1.42226i
$97$	−2.07939	−	1.20054i	−0.211130	−	0.121896i	0.390706	−	0.920515i	$-0.372231\pi$
$97$	−2.07939	−	1.20054i	−0.211130	−	0.121896i	−0.601837	+	0.798619i	$0.705564\pi$
$98$	5.30004	+	13.6774i	0.535385	+	1.38162i
$99$	7.71314	−	5.85939i	0.775199	−	0.588891i
$100$	−0.756296	−	1.30994i	−0.0756296	−	0.130994i
$101$	−1.76025	−	3.04885i	−0.175152	−	0.303372i	0.765062	−	0.643957i	$-0.222708\pi$
$101$	−1.76025	−	3.04885i	−0.175152	−	0.303372i	−0.940214	+	0.340585i	$0.889375\pi$
$102$	−5.30807	−	2.63365i	−0.525578	−	0.260770i
$103$	−13.5832	−	7.84228i	−1.33840	−	0.772723i	−0.351826	−	0.936065i	$-0.614439\pi$
$103$	−13.5832	−	7.84228i	−1.33840	−	0.772723i	−0.986569	+	0.163342i	$0.947772\pi$
$104$	1.27139	+	2.20211i	0.124670	+	0.215935i
$105$	2.60724	−	9.21507i	0.254441	−	0.899299i
$106$	6.38506	−	11.0592i	0.620172	−	1.07417i
$107$	1.41984	−	0.819746i	0.137261	−	0.0792478i	−0.429797	−	0.902926i	$-0.641415\pi$
$107$	1.41984	−	0.819746i	0.137261	−	0.0792478i	0.567058	+	0.823678i	$0.308081\pi$
$108$	12.2028	−	2.33529i	1.17421	−	0.224713i
$109$	2.90672	−	5.03459i	0.278414	−	0.482227i	−0.692577	−	0.721344i	$-0.743525\pi$
$109$	2.90672	−	5.03459i	0.278414	−	0.482227i	0.970991	+	0.239117i	$0.0768581\pi$
$110$	−14.1395			−1.34814
$111$	−5.42015	−	8.15449i	−0.514458	−	0.773989i
$112$	−7.97109	+	1.49042i	−0.753198	+	0.140832i
$113$	13.9931	−	8.07894i	1.31636	−	0.760003i	0.333222	−	0.942848i	$-0.391864\pi$
$113$	13.9931	−	8.07894i	1.31636	−	0.760003i	0.983142	+	0.182845i	$0.0585307\pi$
$114$	−11.1146	−	16.7217i	−1.04098	−	1.56613i
$115$	2.10084	−	1.21292i	0.195904	−	0.113105i
$116$	16.8748	+	9.74265i	1.56678	+	0.904582i
$117$	−7.41301	+	5.63139i	−0.685333	+	0.520622i
$118$		−	8.30241i		−	0.764299i
$119$	1.43542	−	4.07399i	0.131584	−	0.373462i
$120$	−2.65699	−	1.31829i	−0.242549	−	0.120343i
$121$	−0.287505	+	0.497972i	−0.0261368	+	0.0452702i
$122$	−10.0419			−0.909155
$123$	−2.59579	−	3.90531i	−0.234055	−	0.352130i
$124$			14.2709i			1.28156i
$125$	−11.7712			−1.05285
$126$	5.08814	+	15.8350i	0.453287	+	1.41069i
$127$	−9.59240			−0.851188			−0.425594	−	0.904914i	$-0.639935\pi$
$127$	−9.59240			−0.851188			−0.425594	+	0.904914i	$0.639935\pi$
$128$			6.43006i			0.568343i
$129$	1.50101	−	3.02526i	0.132156	−	0.266359i
$130$	13.5893			1.19186
$131$	1.23061	−	2.13148i	0.107519	−	0.186228i	−0.807246	−	0.590216i	$-0.799043\pi$
$131$	1.23061	−	2.13148i	0.107519	−	0.186228i	0.914765	+	0.403987i	$0.132376\pi$
$132$	11.1361	−	7.40197i	0.969272	−	0.644258i
$133$	11.1146	−	9.52330i	0.963762	−	0.825775i
$134$		−	1.41227i		−	0.122002i
$135$	3.56512	−	10.2572i	0.306837	−	0.882797i
$136$	−1.15856	−	0.668896i	−0.0993459	−	0.0573574i
$137$	−15.0571	+	8.69322i	−1.28641	+	0.742712i	−0.978013	−	0.208545i	$-0.933127\pi$
$137$	−15.0571	+	8.69322i	−1.28641	+	0.742712i	−0.308401	+	0.951256i	$0.599794\pi$
$138$	−1.87252	+	3.77403i	−0.159399	+	0.321267i
$139$	8.61174	−	4.97199i	0.730438	−	0.421719i	−0.0881443	−	0.996108i	$-0.528094\pi$
$139$	8.61174	−	4.97199i	0.730438	−	0.421719i	0.818582	+	0.574389i	$0.194760\pi$
$140$	4.39334	−	12.4692i	0.371305	−	1.05384i
$141$	−14.0626	+	0.887527i	−1.18428	+	0.0747432i
$142$	14.7005			1.23364
$143$	−5.00967	+	8.67701i	−0.418930	+	0.725608i
$144$	−9.12205	+	1.15604i	−0.760171	+	0.0963366i
$145$	14.7490	−	8.51532i	1.22483	−	0.707159i
$146$	3.58442	−	6.20840i	0.296649	−	0.513811i
$147$	−11.0068	+	5.08422i	−0.907830	+	0.419339i
$148$	−6.75843	−	11.7060i	−0.555540	−	0.962223i
$149$	8.01695	+	4.62859i	0.656774	+	0.379189i	0.791047	−	0.611756i	$-0.209536\pi$
$149$	8.01695	+	4.62859i	0.656774	+	0.379189i	−0.134273	+	0.990944i	$0.542870\pi$
$150$	1.91217	−	1.27098i	0.156128	−	0.103775i
$151$	5.98489	+	10.3661i	0.487044	+	0.843584i	0.999889	−	0.0148966i	$-0.00474192\pi$
$151$	5.98489	+	10.3661i	0.487044	+	0.843584i	−0.512845	+	0.858481i	$0.671409\pi$
$152$	−2.26656	−	3.92579i	−0.183842	−	0.318424i
$153$	1.89620	−	4.51587i	0.153299	−	0.365087i
$154$	11.6471	+	13.5934i	0.938554	+	1.09539i
$155$	10.8020	+	6.23656i	0.867641	+	0.500933i
$156$	−10.7028	+	7.11395i	−0.856907	+	0.569572i
$157$			17.8514i			1.42470i	0.701826	+	0.712348i	$0.252368\pi$
$157$			17.8514i			1.42470i	−0.701826	+	0.712348i	$0.747632\pi$
$158$		−	29.6709i		−	2.36049i
$159$	9.45546	+	4.69140i	0.749866	+	0.372053i
$160$	14.5901	+	8.42358i	1.15345	+	0.665943i
$161$	−2.89660	−	1.02058i	−0.228284	−	0.0804329i
$162$	4.70454	+	18.2631i	0.369623	+	1.43489i
$163$	−8.91768	−	15.4459i	−0.698486	−	1.20981i	−0.968991	−	0.247095i	$-0.920524\pi$
$163$	−8.91768	−	15.4459i	−0.698486	−	1.20981i	0.270505	−	0.962719i	$-0.412809\pi$
$164$	−3.23672	−	5.60616i	−0.252745	−	0.437768i
$165$	−0.736145	−	11.6640i	−0.0573088	−	0.908039i
$166$	−5.60881	−	3.23825i	−0.435328	−	0.251337i
$167$	6.16899	+	10.6850i	0.477371	+	0.826830i	0.999664	−	0.0259359i	$-0.00825657\pi$
$167$	6.16899	+	10.6850i	0.477371	+	0.826830i	−0.522293	+	0.852766i	$0.674923\pi$
$168$	0.921276	+	3.64029i	0.0710780	+	0.280854i
$169$	−1.68526	+	2.91896i	−0.129635	+	0.224535i
$170$	−6.19166	+	3.57476i	−0.474879	+	0.274171i
$171$	13.2155	−	10.0393i	1.01061	−	0.767726i
$172$	2.33103	−	4.03747i	0.177740	−	0.307854i
$173$	9.06736			0.689379			0.344689	−	0.938717i	$-0.387984\pi$
$173$	9.06736			0.689379			0.344689	+	0.938717i	$0.387984\pi$
$174$	−13.1461	+	26.4957i	−0.996600	+	2.00863i
$175$	1.08901	+	1.27098i	0.0823215	+	0.0960774i
$176$	−8.57037	+	4.94810i	−0.646016	+	0.372977i
$177$	6.84885	−	0.432250i	0.514791	−	0.0324899i
$178$	−8.92002	+	5.14997i	−0.668584	+	0.386007i
$179$	13.0086	+	7.51051i	0.972307	+	0.561362i	0.899939	−	0.436016i	$-0.143611\pi$
$179$	13.0086	+	7.51051i	0.972307	+	0.561362i	0.0723682	+	0.997378i	$0.476944\pi$
$180$	5.80364	−	13.8216i	0.432578	−	1.03020i
$181$			2.34159i			0.174049i	0.996206	+	0.0870246i	$0.0277359\pi$
$181$			2.34159i			0.174049i	−0.996206	+	0.0870246i	$0.972264\pi$
$182$	−11.1939	−	13.0644i	−0.829750	−	0.968401i
$183$	−0.522815	−	8.28383i	−0.0386476	−	0.612358i
$184$	−0.475584	+	0.823736i	−0.0350605	+	0.0607266i
$185$	−11.8141			−0.868589
$186$	−21.6195	+	1.36446i	−1.58522	+	0.100047i
$187$		−	5.27132i		−	0.385477i
$188$	−19.4516			−1.41865
$189$	−12.7977	+	5.02174i	−0.930898	+	0.365278i
$190$	−24.2262			−1.75755
$191$			9.03651i			0.653859i	0.945049	+	0.326929i	$0.106014\pi$
$191$			9.03651i			0.653859i	−0.945049	+	0.326929i	$0.893986\pi$
$192$	−18.6045	+	1.17418i	−1.34267	+	0.0847394i
$193$	−5.48269			−0.394652			−0.197326	−	0.980338i	$-0.563226\pi$
$193$	−5.48269			−0.394652			−0.197326	+	0.980338i	$0.563226\pi$
$194$	2.51570	−	4.35733i	0.180617	−	0.312838i
$195$	0.707501	+	11.2101i	0.0506652	+	0.802773i
$196$	−15.6065	+	6.04760i	−1.11475	+	0.431971i
$197$			2.88946i			0.205865i	0.994688	+	0.102933i	$0.0328226\pi$
$197$			2.88946i			0.205865i	−0.994688	+	0.102933i	$0.967177\pi$
$198$	12.2782	+	16.1627i	0.872576	+	1.14864i
$199$	4.45419	+	2.57163i	0.315749	+	0.182298i	0.649496	−	0.760365i	$-0.274980\pi$
$199$	4.45419	+	2.57163i	0.315749	+	0.182298i	−0.333747	+	0.942663i	$0.608313\pi$
$200$	0.448923	−	0.259186i	0.0317437	−	0.0183272i
$201$	1.16502	−	0.0735274i	0.0821740	−	0.00518622i
$202$	6.38881	−	3.68858i	0.449515	−	0.259528i
$203$	−20.3357	−	7.16499i	−1.42728	−	0.502884i
$204$	3.00511	−	6.05676i	0.210400	−	0.424058i
$205$	−5.65795			−0.395168
$206$	16.4334	−	28.4634i	1.14497	−	1.98314i
$207$	−3.21078	−	1.34820i	−0.223164	−	0.0937061i
$208$	8.23688	−	4.75557i	0.571125	−	0.329739i
$209$	8.93095	−	15.4689i	0.617767	−	1.07000i
$210$	19.3100	+	5.46342i	1.33252	+	0.377012i
$211$	7.93224	+	13.7390i	0.546078	+	0.945835i	0.998538	+	0.0540502i	$0.0172131\pi$
$211$	7.93224	+	13.7390i	0.546078	+	0.945835i	−0.452460	+	0.891785i	$0.649454\pi$
$212$	12.6191	+	7.28565i	0.866684	+	0.500380i
$213$	0.765356	+	12.1268i	0.0524413	+	0.830915i
$214$	1.71776	+	2.97525i	0.117424	+	0.203384i
$215$	−2.03738	−	3.52885i	−0.138948	−	0.240666i
$216$	0.800314	+	4.18194i	0.0544544	+	0.284545i
$217$	−2.90230	−	15.5221i	−0.197021	−	1.05371i
$218$	10.5499	+	6.09099i	0.714529	+	0.412534i
$219$	5.30807	+	2.63365i	0.358686	+	0.177965i
$220$		−	16.1338i		−	1.08774i
$221$			5.06621i			0.340790i
$222$	17.0876	−	11.3578i	1.14684	−	0.762287i
$223$	−13.5288	−	7.81085i	−0.905955	−	0.523053i	−0.0268275	−	0.999640i	$-0.508540\pi$
$223$	−13.5288	−	7.81085i	−0.905955	−	0.523053i	−0.879127	+	0.476587i	$0.841874\pi$
$224$	−3.92008	−	20.9654i	−0.261921	−	1.40081i
$225$	1.14802	+	1.51122i	0.0765346	+	0.100748i
$226$	16.9293	+	29.3224i	1.12612	+	1.95049i
$227$	1.04045	+	1.80211i	0.0690569	+	0.119610i	0.898486	−	0.439001i	$-0.144668\pi$
$227$	1.04045	+	1.80211i	0.0690569	+	0.119610i	−0.829430	+	0.558611i	$0.811334\pi$
$228$	19.0803	−	12.6823i	1.26362	−	0.839908i
$229$	5.57233	+	3.21719i	0.368230	+	0.212598i	0.672685	−	0.739929i	$-0.265141\pi$
$229$	5.57233	+	3.21719i	0.368230	+	0.212598i	−0.304455	+	0.952527i	$0.598474\pi$
$230$	2.54165	+	4.40226i	0.167591	+	0.290277i
$231$	−10.6071	+	10.3157i	−0.697897	+	0.678724i
$232$	−3.33885	+	5.78305i	−0.219206	+	0.379676i
$233$	13.5222	−	7.80704i	0.885868	−	0.511456i	0.0132791	−	0.999912i	$-0.495773\pi$
$233$	13.5222	−	7.80704i	0.885868	−	0.511456i	0.872589	+	0.488456i	$0.162440\pi$
$234$	−11.8005	−	15.5338i	−0.771421	−	1.01548i
$235$	−8.50057	+	14.7234i	−0.554516	+	0.960450i
$236$	9.47344			0.616668
$237$	24.4762	−	1.54476i	1.58990	−	0.100343i
$238$	8.53698	+	3.00789i	0.553370	+	0.194972i
$239$	−14.8777	+	8.58964i	−0.962358	+	0.555618i	−0.896898	−	0.442238i	$-0.854185\pi$
$239$	−14.8777	+	8.58964i	−0.962358	+	0.555618i	−0.0654600	+	0.997855i	$0.520851\pi$
$240$	−4.93099	+	9.93833i	−0.318294	+	0.641516i
$241$	9.71544	−	5.60921i	0.625827	−	0.361321i	−0.153307	−	0.988179i	$-0.548992\pi$
$241$	9.71544	−	5.60921i	0.625827	−	0.361321i	0.779134	+	0.626857i	$0.215659\pi$
$242$	−1.04349	−	0.602460i	−0.0670782	−	0.0387276i
$243$	−14.8207	+	4.83172i	−0.950751	+	0.309955i
$244$		−	11.4583i		−	0.733544i
$245$	−2.24265	+	14.4559i	−0.143278	+	0.923553i
$246$	8.18350	−	5.43943i	0.521761	−	0.346806i
$247$	−8.58343	+	14.8669i	−0.546151	+	0.945961i
$248$	−4.89070			−0.310560
$249$	2.37930	−	4.79544i	0.150782	−	0.303898i
$250$		−	24.6663i		−	1.56004i
$251$	−11.3837			−0.718535			−0.359267	−	0.933235i	$-0.616973\pi$
$251$	−11.3837			−0.718535			−0.359267	+	0.933235i	$0.616973\pi$
$252$	−18.0684	+	5.80580i	−1.13821	+	0.365731i
$253$	−3.74790			−0.235629
$254$		−	20.1007i		−	1.26123i
$255$	−3.27126	−	4.92153i	−0.204854	−	0.308198i
$256$	8.05134			0.503209
$257$	4.69024	−	8.12373i	0.292569	−	0.506745i	−0.681847	−	0.731494i	$-0.738823\pi$
$257$	4.69024	−	8.12373i	0.292569	−	0.506745i	0.974416	+	0.224750i	$0.0721565\pi$
$258$	6.33938	+	3.14534i	0.394672	+	0.195820i
$259$	9.73166	+	11.3578i	0.604696	+	0.705740i
$260$			15.5060i			0.961641i
$261$	−22.5413	−	9.46504i	−1.39527	−	0.585871i
$262$	4.46647	+	2.57872i	0.275940	+	0.159314i
$263$	−7.62367	+	4.40153i	−0.470096	+	0.271410i	−0.716280	−	0.697813i	$-0.754157\pi$
$263$	−7.62367	+	4.40153i	−0.470096	+	0.271410i	0.246184	+	0.969223i	$0.420823\pi$
$264$	2.53669	+	3.81639i	0.156122	+	0.234882i
$265$	11.0294	−	6.36784i	0.677532	−	0.391173i
$266$	19.9559	+	23.2905i	1.22357	+	1.42803i
$267$	−4.71274	−	7.09021i	−0.288415	−	0.433914i
$268$	1.61147			0.0984362
$269$	−8.16473	+	14.1417i	−0.497812	+	0.862236i	−0.999997	−	0.00252412i	$-0.999197\pi$
$269$	−8.16473	+	14.1417i	−0.497812	+	0.862236i	0.502184	+	0.864761i	$0.332530\pi$
$270$	21.4937	+	7.47064i	1.30807	+	0.454649i
$271$	−12.6186	+	7.28538i	−0.766528	+	0.442555i	−0.831635	−	0.555323i	$-0.812595\pi$
$271$	−12.6186	+	7.28538i	−0.766528	+	0.442555i	0.0651065	+	0.997878i	$0.479261\pi$
$272$	−2.50197	+	4.33355i	−0.151704	+	0.262760i
$273$	10.1944	−	9.91432i	0.616992	−	0.600042i
$274$	−18.2165	−	31.5519i	−1.10050	−	1.90612i
$275$	1.76890	+	1.02127i	0.106669	+	0.0615851i
$276$	−4.30635	−	2.13663i	−0.259212	−	0.128610i
$277$	−14.3568	−	24.8668i	−0.862618	−	1.49410i	−0.869393	−	0.494122i	$-0.835490\pi$
$277$	−14.3568	−	24.8668i	−0.862618	−	1.49410i	0.00677410	−	0.999977i	$-0.497844\pi$
$278$	10.4187	+	18.0457i	0.624873	+	1.08231i
$279$	−2.25116	−	17.7634i	−0.134773	−	1.06347i
$280$	4.27323	+	1.50562i	0.255375	+	0.0899777i
$281$	−4.76893	−	2.75334i	−0.284490	−	0.164251i	0.350964	−	0.936389i	$-0.385854\pi$
$281$	−4.76893	−	2.75334i	−0.284490	−	0.164251i	−0.635455	+	0.772138i	$0.719187\pi$
$282$	−1.85980	−	29.4678i	−0.110749	−	1.75478i
$283$		−	30.2829i		−	1.80013i	−0.435756	−	0.900065i	$-0.643519\pi$
$283$		−	30.2829i		−	1.80013i	0.435756	−	0.900065i	$-0.356481\pi$
$284$			16.7740i			0.995353i
$285$	−1.26129	−	19.9847i	−0.0747124	−	1.18379i
$286$	−18.1825	−	10.4977i	−1.07515	−	0.620740i
$287$	4.66064	+	5.43943i	0.275109	+	0.321080i
$288$	−3.04059	−	23.9926i	−0.179168	−	1.41378i
$289$	7.16730	+	12.4141i	0.421606	+	0.730242i
$290$	17.8437	+	30.9062i	1.04782	+	1.81487i
$291$	3.72544	+	1.84841i	0.218389	+	0.108356i
$292$	7.08408	+	4.08999i	0.414564	+	0.239349i
$293$	3.54362	+	6.13773i	0.207021	+	0.358570i	0.950775	−	0.309883i	$-0.100290\pi$
$293$	3.54362	+	6.13773i	0.207021	+	0.358570i	−0.743754	+	0.668453i	$0.766957\pi$
$294$	−10.6539	−	23.0646i	−0.621347	−	1.34516i
$295$	4.14001	−	7.17071i	0.241041	−	0.417495i
$296$	4.01168	−	2.31615i	0.233174	−	0.134623i
$297$	−12.6938	+	10.9701i	−0.736568	+	0.636549i
$298$	−9.69912	+	16.7994i	−0.561855	+	0.973161i
$299$	3.60207			0.208313
$300$	1.45025	+	2.18187i	0.0837304	+	0.125970i
$301$	−1.71430	+	4.86553i	−0.0988108	+	0.280444i
$302$	−21.7220	+	12.5412i	−1.24996	+	0.721667i
$303$	3.37542	+	5.07824i	0.193913	+	0.291737i
$304$	−14.6842	+	8.47795i	−0.842198	+	0.486244i
$305$	−8.67313	−	5.00743i	−0.496622	−	0.286725i
$306$	9.46292	+	3.97345i	0.540959	+	0.227147i
$307$		−	3.11346i		−	0.177695i	−0.996045	−	0.0888473i	$-0.971682\pi$
$307$		−	3.11346i		−	0.177695i	0.996045	−	0.0888473i	$-0.0283183\pi$
$308$	−15.5107	+	13.2899i	−0.883803	+	0.757264i
$309$	24.3357	+	12.0744i	1.38441	+	0.686887i
$310$	−13.0686	+	22.6355i	−0.742247	+	1.28561i
$311$	19.4521			1.10303			0.551514	−	0.834166i	$-0.314051\pi$
$311$	19.4521			1.10303			0.551514	+	0.834166i	$0.314051\pi$
$312$	−2.43798	−	3.66789i	−0.138024	−	0.207653i
$313$			25.5447i			1.44387i	0.691959	+	0.721937i	$0.256748\pi$
$313$			25.5447i			1.44387i	−0.691959	+	0.721937i	$0.743252\pi$
$314$	−37.4073			−2.11101
$315$	−3.50156	+	16.2137i	−0.197291	+	0.913540i
$316$	33.8559			1.90454
$317$		−	16.2274i		−	0.911424i	−0.890127	−	0.455712i	$-0.849385\pi$
$317$		−	16.2274i		−	0.911424i	0.890127	−	0.455712i	$-0.150615\pi$
$318$	−9.83075	+	19.8137i	−0.551281	+	1.11110i
$319$	−26.3122			−1.47320
$320$	−11.2461	+	19.4789i	−0.628677	+	1.08890i
$321$	−2.36492	+	1.57192i	−0.131997	+	0.0877362i
$322$	2.13860	−	6.06978i	0.119180	−	0.338256i
$323$		−	9.03174i		−	0.502540i
$324$	−20.8391	+	5.36810i	−1.15773	+	0.298228i
$325$	−1.70007	−	0.981535i	−0.0943029	−	0.0544458i
$326$	32.3665	−	18.6868i	1.79262	−	1.03497i
$327$	−4.47534	+	9.01997i	−0.247487	+	0.498806i
$328$	1.92126	−	1.10924i	0.106084	−	0.0612474i
$329$	21.1570	−	3.95591i	1.16642	−	0.218096i
$330$	24.4416	−	1.54258i	1.34547	−	0.0849161i
$331$	23.3117			1.28132			0.640662	−	0.767823i	$-0.278660\pi$
$331$	23.3117			1.28132			0.640662	+	0.767823i	$0.278660\pi$
$332$	3.69499	−	6.39992i	0.202789	−	0.351241i
$333$	10.2590	+	13.5046i	0.562188	+	0.740048i
$334$	−22.3902	+	12.9270i	−1.22514	+	0.707334i
$335$	0.704232	−	1.21977i	0.0384763	−	0.0666430i
$336$	13.6163	−	3.44599i	0.742831	−	0.187994i
$337$	5.93515	+	10.2800i	0.323308	+	0.559986i	0.981168	−	0.193154i	$-0.0618717\pi$
$337$	5.93515	+	10.2800i	0.323308	+	0.559986i	−0.657860	+	0.753140i	$0.728538\pi$
$338$	−6.11662	−	3.53143i	−0.332700	−	0.192085i
$339$	−23.3073	+	15.4920i	−1.26588	+	0.841408i
$340$	−4.07897	−	7.06498i	−0.221213	−	0.383152i
$341$	−9.63545	−	16.6891i	−0.521789	−	0.903765i
$342$	21.0372	+	27.6928i	1.13756	+	1.49745i
$343$	15.7449	−	9.75176i	0.850147	−	0.526546i
$344$	1.38366	+	0.798855i	0.0746019	+	0.0430714i
$345$	−3.49920	+	2.32586i	−0.188391	+	0.125220i
$346$			19.0005i			1.02147i
$347$		−	21.7060i		−	1.16524i	−0.812745	−	0.582619i	$-0.802028\pi$
$347$		−	21.7060i		−	1.16524i	0.812745	−	0.582619i	$-0.197972\pi$
$348$	−30.2328	−	15.0003i	−1.62065	−	0.804098i
$349$	−2.20868	−	1.27518i	−0.118228	−	0.0682588i	0.439720	−	0.898135i	$-0.355078\pi$
$349$	−2.20868	−	1.27518i	−0.118228	−	0.0682588i	−0.557948	+	0.829876i	$0.688411\pi$
$350$	−2.66332	+	2.28200i	−0.142361	+	0.121978i
$351$	12.1998	−	10.5432i	0.651180	−	0.562756i
$352$	−13.0144	−	22.5416i	−0.693669	−	1.20147i
$353$	−12.6873	−	21.9751i	−0.675279	−	1.16962i	−0.976387	−	0.216027i	$-0.930690\pi$
$353$	−12.6873	−	21.9751i	−0.675279	−	1.16962i	0.301109	−	0.953590i	$-0.402643\pi$
$354$	0.905771	+	14.3516i	0.0481412	+	0.762781i
$355$	12.6967	+	7.33044i	0.673871	+	0.389059i
$356$	−5.87636	−	10.1782i	−0.311446	−	0.539441i
$357$	−2.03682	+	7.19895i	−0.107800	+	0.381009i
$358$	−15.7381	+	27.2592i	−0.831786	+	1.44070i
$359$	9.73735	−	5.62186i	0.513918	−	0.296711i	−0.220525	−	0.975381i	$-0.570777\pi$
$359$	9.73735	−	5.62186i	0.513918	−	0.296711i	0.734443	+	0.678671i	$0.237444\pi$
$360$	4.73672	+	1.98893i	0.249647	+	0.104826i
$361$	5.80204	−	10.0494i	0.305371	−	0.528917i
$362$	−4.90676			−0.257894
$363$	0.442656	−	0.892167i	0.0232334	−	0.0468266i
$364$	14.9071	−	12.7728i	0.781347	−	0.669477i
$365$	6.19166	−	3.57476i	0.324086	−	0.187111i
$366$	17.3586	−	1.09555i	0.907349	−	0.0572653i
$367$	2.86810	−	1.65590i	0.149714	−	0.0864372i	−0.423272	−	0.906003i	$-0.639118\pi$
$367$	2.86810	−	1.65590i	0.149714	−	0.0864372i	0.572985	+	0.819566i	$0.305785\pi$
$368$	3.08114	+	1.77890i	0.160616	+	0.0927315i
$369$	4.91318	+	6.46757i	0.255770	+	0.336688i
$370$		−	24.7562i		−	1.28701i
$371$	−15.2072	−	5.35805i	−0.789519	−	0.278176i
$372$	−1.55692	−	24.6688i	−0.0807224	−	1.27902i
$373$	3.32271	−	5.75510i	0.172043	−	0.297988i	−0.767091	−	0.641539i	$-0.778296\pi$
$373$	3.32271	−	5.75510i	0.172043	−	0.297988i	0.939134	+	0.343551i	$0.111630\pi$
$374$	11.0460			0.571173
$375$	20.3478	−	1.28421i	1.05076	−	0.0663161i
$376$		−	6.66613i		−	0.343780i
$377$	25.2884			1.30242
$378$	−10.5230	−	26.8174i	−0.541243	−	1.37934i
$379$	−3.84940			−0.197730			−0.0988652	−	0.995101i	$-0.531521\pi$
$379$	−3.84940			−0.197730			−0.0988652	+	0.995101i	$0.531521\pi$
$380$		−	27.6432i		−	1.41807i
$381$	16.5815	−	1.04651i	0.849498	−	0.0536141i
$382$	−18.9358			−0.968842
$383$	−17.1112	+	29.6374i	−0.874339	+	1.51440i	−0.0168739	+	0.999858i	$0.505371\pi$
$383$	−17.1112	+	29.6374i	−0.874339	+	1.51440i	−0.857465	+	0.514542i	$0.827962\pi$
$384$	−0.701503	−	11.1151i	−0.0357984	−	0.567214i
$385$	3.28116	+	17.5483i	0.167223	+	0.894346i
$386$		−	11.4889i		−	0.584768i
$387$	−2.26461	+	5.39326i	−0.115117	+	0.274155i
$388$	4.97191	+	2.87054i	0.252411	+	0.145729i
$389$	11.6737	−	6.73982i	0.591881	−	0.341723i	−0.173960	−	0.984753i	$-0.555656\pi$
$389$	11.6737	−	6.73982i	0.591881	−	0.341723i	0.765841	+	0.643030i	$0.222323\pi$
$390$	−23.4906	+	1.48255i	−1.18949	+	0.0750721i
$391$	−1.64121	+	0.947550i	−0.0829993	+	0.0479197i
$392$	−2.07254	−	5.34842i	−0.104679	−	0.270136i
$393$	−1.89471	+	3.81875i	−0.0955753	+	0.192631i
$394$	−6.05480			−0.305036
$395$	14.7954	−	25.6265i	0.744440	−	1.28941i
$396$	−18.4424	+	14.0100i	−0.926767	+	0.704031i
$397$	−25.5501	+	14.7513i	−1.28232	+	0.740349i	−0.977272	−	0.211988i	$-0.932006\pi$
$397$	−25.5501	+	14.7513i	−1.28232	+	0.740349i	−0.305049	+	0.952337i	$0.598673\pi$
$398$	−5.38880	+	9.33367i	−0.270116	+	0.467855i
$399$	−18.1739	+	17.6747i	−0.909835	+	0.884840i
$400$	−0.969472	−	1.67918i	−0.0484736	−	0.0839588i
$401$	−25.1534	−	14.5223i	−1.25610	−	0.725209i	−0.283786	−	0.958888i	$-0.591590\pi$
$401$	−25.1534	−	14.5223i	−1.25610	−	0.725209i	−0.972314	+	0.233678i	$0.924924\pi$
$402$	0.154075	+	2.44127i	0.00768458	+	0.121760i
$403$	9.26052	+	16.0397i	0.461300	+	0.798994i
$404$	4.20884	+	7.28993i	0.209398	+	0.362687i
$405$	−5.04368	+	18.1196i	−0.250622	+	0.900370i
$406$	15.0141	−	42.6130i	0.745138	−	2.11485i
$407$	15.8073	+	9.12634i	0.783538	+	0.452376i
$408$	2.07568	+	1.02987i	0.102761	+	0.0509859i
$409$		−	30.2755i		−	1.49703i	−0.663121	−	0.748513i	$-0.730768\pi$
$409$		−	30.2755i		−	1.49703i	0.663121	−	0.748513i	$-0.269232\pi$
$410$		−	11.8561i		−	0.585532i
$411$	25.0795	−	16.6699i	1.23708	−	0.822265i
$412$	32.4781	+	18.7512i	1.60008	+	0.923806i
$413$	−10.3040	+	1.92663i	−0.507029	+	0.0948035i
$414$	2.82512	−	6.72812i	0.138847	−	0.330669i
$415$	−3.22952	−	5.59369i	−0.158531	−	0.274583i
$416$	12.5080	+	21.6645i	0.613254	+	1.06219i
$417$	−14.3439	+	9.53416i	−0.702425	+	0.466890i
$418$	32.4147	+	18.7146i	1.58545	+	0.915363i
$419$	−18.2902	−	31.6795i	−0.893534	−	1.54765i	−0.835609	−	0.549325i	$-0.814885\pi$
$419$	−18.2902	−	31.6795i	−0.893534	−	1.54765i	−0.0579246	−	0.998321i	$-0.518448\pi$
$420$	−6.23402	+	22.0336i	−0.304189	+	1.07513i
$421$	3.85999	−	6.68570i	0.188124	−	0.325841i	−0.756501	−	0.653993i	$-0.773093\pi$
$421$	3.85999	−	6.68570i	0.188124	−	0.325841i	0.944625	+	0.328152i	$0.106426\pi$
$422$	−28.7899	+	16.6219i	−1.40147	+	0.809140i
$423$	24.2119	−	3.06838i	1.17722	−	0.149190i
$424$	−2.49682	+	4.32463i	−0.121256	+	0.210022i
$425$	1.03280			0.0500982
$426$	−25.4115	+	1.60379i	−1.23119	+	0.0777038i
$427$	2.33030	+	12.4630i	0.112771	+	0.603125i
$428$	−3.39490	+	1.96005i	−0.164099	+	0.0947424i
$429$	7.71314	−	15.5457i	0.372394	−	0.750554i
$430$	7.39464	−	4.26930i	0.356601	−	0.205884i
$431$	20.0311	+	11.5650i	0.964865	+	0.557065i	0.897667	−	0.440674i	$-0.145261\pi$
$431$	20.0311	+	11.5650i	0.964865	+	0.557065i	0.0671983	+	0.997740i	$0.478594\pi$
$432$	15.6424	−	2.99353i	0.752593	−	0.144026i
$433$			34.9265i			1.67846i	0.543776	+	0.839230i	$0.316994\pi$
$433$			34.9265i			1.67846i	−0.543776	+	0.839230i	$0.683006\pi$
$434$	32.5263	−	6.08172i	1.56131	−	0.291932i
$435$	−24.5662	+	16.3288i	−1.17786	+	0.782904i
$436$	−6.95010	+	12.0379i	−0.332849	+	0.576512i
$437$	−6.42155			−0.307185
$438$	−5.51876	+	11.1230i	−0.263696	+	0.531476i
$439$		−	38.8952i		−	1.85637i	−0.372122	−	0.928184i	$-0.621370\pi$
$439$		−	38.8952i		−	1.85637i	0.372122	−	0.928184i	$-0.378630\pi$
$440$	5.52912			0.263590
$441$	18.4719	−	9.98946i	0.879614	−	0.475688i
$442$	−10.6161			−0.504959
$443$			37.3289i			1.77355i	0.462204	+	0.886774i	$0.347059\pi$
$443$			37.3289i			1.77355i	−0.462204	+	0.886774i	$0.652941\pi$
$444$	12.9598	+	19.4977i	0.615045	+	0.925321i
$445$	−10.2722			−0.486948
$446$	16.3675	−	28.3493i	0.775023	−	1.34238i
$447$	−14.3632	−	7.12640i	−0.679354	−	0.337067i
$448$	27.9904	−	5.23360i	1.32242	−	0.247264i
$449$			23.9224i			1.12897i	0.825445	+	0.564483i	$0.190924\pi$
$449$			23.9224i			1.12897i	−0.825445	+	0.564483i	$0.809076\pi$
$450$	−3.16673	+	2.40565i	−0.149281	+	0.113403i
$451$	7.57036	+	4.37075i	0.356474	+	0.205810i
$452$	−33.4582	+	19.3171i	−1.57374	+	0.908600i
$453$	−11.4765	−	17.2661i	−0.539212	−	0.811232i
$454$	−3.77628	+	2.18024i	−0.177230	+	0.102324i
$455$	−3.15349	−	16.8655i	−0.147838	−	0.790667i
$456$	4.34629	+	6.53889i	0.203534	+	0.306212i
$457$	9.98063			0.466874			0.233437	−	0.972372i	$-0.425003\pi$
$457$	9.98063			0.466874			0.233437	+	0.972372i	$0.425003\pi$
$458$	−6.74155	+	11.6767i	−0.315012	+	0.545617i
$459$	−2.78513	+	8.01306i	−0.129999	+	0.374017i
$460$	−5.02319	+	2.90014i	−0.234207	+	0.135220i
$461$	−16.7279	+	28.9735i	−0.779094	+	1.34943i	0.153371	+	0.988169i	$0.450987\pi$
$461$	−16.7279	+	28.9735i	−0.779094	+	1.34943i	−0.932465	+	0.361261i	$0.882346\pi$
$462$	−21.6164	−	22.2270i	−1.00569	−	1.03409i
$463$	11.5353	+	19.9798i	0.536092	+	0.928538i	0.999110	+	0.0421893i	$0.0134333\pi$
$463$	11.5353	+	19.9798i	0.536092	+	0.928538i	−0.463018	+	0.886349i	$0.653233\pi$
$464$	21.6312	+	12.4888i	1.00420	+	0.579778i
$465$	−19.3529	−	9.60212i	−0.897470	−	0.445288i
$466$	16.3595	+	28.3355i	0.757839	+	1.31262i
$467$	−20.1395	−	34.8827i	−0.931946	−	1.61418i	−0.779991	−	0.625791i	$-0.784776\pi$
$467$	−20.1395	−	34.8827i	−0.931946	−	1.61418i	−0.151955	−	0.988387i	$-0.548557\pi$
$468$	17.7248	−	13.4649i	0.819330	−	0.622415i
$469$	−1.75276	+	0.327728i	−0.0809349	+	0.0151331i
$470$	−30.8527	−	17.8128i	−1.42313	−	0.821643i
$471$	−1.94754	−	30.8581i	−0.0897379	−	1.42187i
$472$			3.24659i			0.149436i
$473$			6.29549i			0.289467i
$474$	3.23702	+	51.2894i	0.148681	+	2.35580i
$475$	3.03078	+	1.74982i	0.139062	+	0.0802874i
$476$	−3.43214	+	9.74109i	−0.157312	+	0.446482i
$477$	−16.8566	−	7.07805i	−0.771812	−	0.324082i
$478$	−17.9994	−	31.1759i	−0.823275	−	1.42595i
$479$	−0.0777513	−	0.134669i	−0.00355255	−	0.00615319i	0.864244	−	0.503073i	$-0.167797\pi$
$479$	−0.0777513	−	0.134669i	−0.00355255	−	0.00615319i	−0.867796	+	0.496920i	$0.834464\pi$
$480$	−26.1396	−	12.9694i	−1.19310	−	0.591968i
$481$	−15.1922	−	8.77123i	−0.692705	−	0.399934i
$482$	11.7540	+	20.3585i	0.535380	+	0.927305i
$483$	5.11844	+	1.44817i	0.232897	+	0.0658941i
$484$	0.687435	−	1.19067i	0.0312471	−	0.0541215i
$485$	4.34558	−	2.50892i	0.197323	−	0.113924i
$486$	−10.1248	−	31.0566i	−0.459269	−	1.40876i
$487$	8.25111	−	14.2913i	0.373893	−	0.647602i	−0.616267	−	0.787537i	$-0.711356\pi$
$487$	8.25111	−	14.2913i	0.373893	−	0.647602i	0.990161	+	0.139935i	$0.0446892\pi$
$488$	3.92682			0.177759
$489$	17.1003	+	25.7270i	0.773302	+	1.16342i
$490$	−30.2920	−	4.69943i	−1.36846	−	0.212299i
$491$	8.10003	−	4.67655i	0.365549	−	0.211050i	−0.305963	−	0.952043i	$-0.598978\pi$
$491$	8.10003	−	4.67655i	0.365549	−	0.211050i	0.671512	+	0.740993i	$0.265645\pi$
$492$	6.20665	+	9.33776i	0.279817	+	0.420979i
$493$	−11.5221	+	6.65230i	−0.518930	+	0.299604i
$494$	−31.1534	−	17.9864i	−1.40166	−	0.809248i
$495$	2.54502	+	20.0822i	0.114390	+	0.902626i
$496$			18.2934i			0.821399i
$497$	−3.41136	−	18.2447i	−0.153020	−	0.818385i
$498$	10.0487	+	4.98577i	0.450295	+	0.223418i
$499$	−0.998116	+	1.72879i	−0.0446818	+	0.0773912i	−0.887501	−	0.460805i	$-0.847561\pi$
$499$	−0.998116	+	1.72879i	−0.0446818	+	0.0773912i	0.842820	+	0.538196i	$0.180894\pi$
$500$	28.1454			1.25870
$501$	−11.8295	−	17.7972i	−0.528503	−	0.795120i
$502$		−	23.8544i		−	1.06467i
$503$	15.7008			0.700063			0.350032	−	0.936738i	$-0.386171\pi$
$503$	15.7008			0.700063			0.350032	+	0.936738i	$0.386171\pi$
$504$	−1.98967	−	6.19214i	−0.0886271	−	0.275820i
$505$	7.35727			0.327394
$506$		−	7.85366i		−	0.349138i
$507$	2.59471	−	5.22960i	0.115235	−	0.232255i
$508$	22.9358			1.01761
$509$	−7.59893	+	13.1617i	−0.336817	+	0.583383i	−0.983832	−	0.179093i	$-0.942684\pi$
$509$	−7.59893	+	13.1617i	−0.336817	+	0.583383i	0.647016	+	0.762477i	$0.276017\pi$
$510$	10.3130	−	6.85486i	0.456667	−	0.303538i
$511$	−8.53698	−	3.00789i	−0.377654	−	0.133061i
$512$			29.7316i			1.31396i
$513$	−21.7492	+	18.7959i	−0.960249	+	0.829857i
$514$	17.0231	+	9.82831i	0.750858	+	0.433508i
$515$	28.3867	−	16.3890i	1.25087	−	0.722187i
$516$	−3.58897	+	7.23352i	−0.157996	+	0.318438i
$517$	22.7476	−	13.1333i	1.00044	−	0.577603i
$518$	−23.8001	+	20.3925i	−1.04572	+	0.895995i
$519$	−15.6739	+	0.989225i	−0.688010	+	0.0434222i
$520$	−5.31397			−0.233033
$521$	−20.6160	+	35.7080i	−0.903204	+	1.56440i	−0.0798940	+	0.996803i	$0.525458\pi$
$521$	−20.6160	+	35.7080i	−0.903204	+	1.56440i	−0.823310	+	0.567592i	$0.807875\pi$
$522$	19.8338	−	47.2349i	0.868102	−	2.06742i
$523$	37.0311	−	21.3799i	1.61926	−	0.934878i	0.632143	−	0.774852i	$-0.282176\pi$
$523$	37.0311	−	21.3799i	1.61926	−	0.934878i	0.987113	−	0.160026i	$-0.0511577\pi$
$524$	−2.94244	+	5.09645i	−0.128541	+	0.222640i
$525$	−2.02114	−	2.07823i	−0.0882097	−	0.0907014i
$526$	−9.22332	−	15.9753i	−0.402156	−	0.696554i
$527$	−8.43872	−	4.87210i	−0.367596	−	0.212232i
$528$	14.2750	−	9.48835i	0.621240	−	0.412928i
$529$	−10.8263	−	18.7517i	−0.470708	−	0.815291i
$530$	13.3437	+	23.1119i	0.579613	+	1.00392i
$531$	−11.7919	+	1.49438i	−0.511723	+	0.0648507i
$532$	−26.5756	+	22.7706i	−1.15220	+	0.987231i
$533$	−7.27579	−	4.20068i	−0.315149	−	0.181952i
$534$	14.8574	−	9.87546i	0.642942	−	0.427353i
$535$			3.42626i			0.148130i
$536$			0.552258i			0.0238539i
$537$	−23.3062	−	11.5635i	−1.00574	−	0.499004i
$538$	−29.6337	−	17.1090i	−1.27760	−	0.737623i
$539$	14.1678	−	17.6096i	0.610251	−	0.758499i
$540$	−8.52435	+	24.5253i	−0.366830	+	1.05540i
$541$	8.04309	+	13.9310i	0.345800	+	0.598942i	0.985499	−	0.169683i	$-0.0542744\pi$
$541$	8.04309	+	13.9310i	0.345800	+	0.598942i	−0.639699	+	0.768625i	$0.720941\pi$
$542$	−15.2664	−	26.4421i	−0.655747	−	1.13579i
$543$	−0.255461	−	4.04770i	−0.0109629	−	0.173704i
$544$	−11.3980	−	6.58063i	−0.488685	−	0.282142i
$545$	6.07456	+	10.5214i	0.260206	+	0.450689i
$546$	20.7753	+	21.3621i	0.889100	+	0.914215i
$547$	−5.94015	+	10.2886i	−0.253982	+	0.439910i	−0.964619	−	0.263649i	$-0.915074\pi$
$547$	−5.94015	+	10.2886i	−0.253982	+	0.439910i	0.710636	+	0.703560i	$0.248407\pi$
$548$	36.0021	−	20.7858i	1.53794	−	0.887927i
$549$	1.80749	+	14.2625i	0.0771417	+	0.608708i
$550$	−2.14006	+	3.70669i	−0.0912525	+	0.158054i
$551$	−45.0827			−1.92059
$552$	0.732233	−	1.47580i	0.0311659	−	0.0628144i
$553$	−36.8242	+	6.88534i	−1.56593	+	0.292795i
$554$	52.1078	−	30.0845i	2.21385	−	1.27817i
$555$	20.4220	−	1.28889i	0.866864	−	0.0547101i
$556$	−20.5910	+	11.8882i	−0.873254	+	0.504173i
$557$	26.4006	+	15.2424i	1.11863	+	0.645841i	0.941051	−	0.338265i	$-0.109840\pi$
$557$	26.4006	+	15.2424i	1.11863	+	0.645841i	0.177579	+	0.984107i	$0.443173\pi$
$558$	37.2228	−	4.71726i	1.57577	−	0.199697i
$559$		−	6.05052i		−	0.255910i
$560$	5.63168	−	15.9838i	0.237982	−	0.675440i
$561$	0.575088	+	9.11207i	0.0242802	+	0.384712i
$562$	5.76958	−	9.99320i	0.243375	−	0.421538i
$563$	−22.5371			−0.949828			−0.474914	−	0.880032i	$-0.657521\pi$
$563$	−22.5371			−0.949828			−0.474914	+	0.880032i	$0.657521\pi$
$564$	33.6242	−	2.12211i	1.41583	−	0.0893571i
$565$			33.7673i			1.42060i
$566$	63.4572			2.66730
$567$	21.5745	−	10.0768i	0.906042	−	0.423188i
$568$	−5.74852			−0.241202
$569$			44.5639i			1.86822i	0.356992	+	0.934108i	$0.383802\pi$
$569$			44.5639i			1.86822i	−0.356992	+	0.934108i	$0.616198\pi$
$570$	41.8776	−	2.64301i	1.75406	−	0.110704i
$571$	35.2830			1.47655			0.738274	−	0.674501i	$-0.235641\pi$
$571$	35.2830			1.47655			0.738274	+	0.674501i	$0.235641\pi$
$572$	11.9783	−	20.7471i	0.500839	−	0.867479i
$573$	−0.985859	−	15.6206i	−0.0411849	−	0.652561i
$574$	−11.3982	+	9.76629i	−0.475753	+	0.407637i
$575$		−	0.734319i		−	0.0306232i
$576$	32.0319	−	4.05941i	1.33466	−	0.169142i
$577$	3.25158	+	1.87730i	0.135365	+	0.0781531i	0.566153	−	0.824300i	$-0.308431\pi$
$577$	3.25158	+	1.87730i	0.135365	+	0.0781531i	−0.430788	+	0.902453i	$0.641764\pi$
$578$	−26.0136	+	15.0189i	−1.08202	+	0.624705i
$579$	9.47744	−	0.598147i	0.393869	−	0.0248581i
$580$	−35.2654	+	20.3605i	−1.46432	+	0.845423i
$581$	−2.71739	+	7.71250i	−0.112737	+	0.319969i
$582$	−3.87330	+	7.80658i	−0.160554	+	0.323593i
$583$	−19.6765			−0.814919
$584$	−1.40166	+	2.42775i	−0.0580011	+	0.100461i
$585$	−2.44599	−	19.3007i	−0.101129	−	0.797987i
$586$	−12.8615	+	7.42559i	−0.531304	+	0.306748i
$587$	15.8021	−	27.3700i	0.652222	−	1.12968i	−0.330361	−	0.943855i	$-0.607171\pi$
$587$	15.8021	−	27.3700i	0.652222	−	1.12968i	0.982583	−	0.185826i	$-0.0594961\pi$
$588$	26.3178	−	12.1566i	1.08533	−	0.501329i
$589$	−16.5091	−	28.5946i	−0.680246	−	1.17822i
$590$	15.0261	+	8.67532i	0.618614	+	0.357157i
$591$	−0.315232	−	4.99475i	−0.0129669	−	0.205456i
$592$	−8.66343	−	15.0055i	−0.356065	−	0.616722i
$593$	18.5588	+	32.1448i	0.762120	+	1.32003i	0.941756	+	0.336297i	$0.109175\pi$
$593$	18.5588	+	32.1448i	0.762120	+	1.32003i	−0.179636	+	0.983733i	$0.557492\pi$
$594$	−22.9876	−	26.5996i	−0.943193	−	1.09139i
$595$	5.87342	+	6.85486i	0.240787	+	0.281022i
$596$	−19.1689	−	11.0671i	−0.785187	−	0.453328i
$597$	−7.98012	−	3.95940i	−0.326605	−	0.162048i
$598$			7.54806i			0.308663i
$599$			28.3119i			1.15679i	0.815756	+	0.578396i	$0.196321\pi$
$599$			28.3119i			1.15679i	−0.815756	+	0.578396i	$0.803679\pi$
$600$	−0.747737	+	0.497008i	−0.0305262	+	0.0202903i
$601$	−20.8341	−	12.0286i	−0.849840	−	0.490655i	0.0107568	−	0.999942i	$-0.496576\pi$
$601$	−20.8341	−	12.0286i	−0.849840	−	0.490655i	−0.860597	+	0.509287i	$0.829909\pi$
$602$	−10.1956	−	3.59229i	−0.415543	−	0.146411i
$603$	−2.00584	+	0.254201i	−0.0816841	+	0.0103519i
$604$	−14.3101	−	24.7859i	−0.582271	−	1.00852i
$605$	−0.600836	−	1.04068i	−0.0244274	−	0.0423096i
$606$	−10.6414	+	7.07312i	−0.432275	+	0.287326i
$607$	8.24496	+	4.76023i	0.334653	+	0.193212i	0.657905	−	0.753101i	$-0.271443\pi$
$607$	8.24496	+	4.76023i	0.334653	+	0.193212i	−0.323252	+	0.946313i	$0.604776\pi$
$608$	−22.2985	−	38.6221i	−0.904323	−	1.56633i
$609$	35.9341	+	10.1669i	1.45613	+	0.411985i
$610$	10.4930	−	18.1744i	0.424848	−	0.735859i
$611$	−21.8625	+	12.6223i	−0.884461	+	0.510644i
$612$	−4.53390	+	10.7976i	−0.183272	+	0.436469i
$613$	1.23108	−	2.13230i	0.0497230	−	0.0861227i	−0.840093	−	0.542443i	$-0.817499\pi$
$613$	1.23108	−	2.13230i	0.0497230	−	0.0861227i	0.889816	+	0.456320i	$0.150833\pi$
$614$	6.52420			0.263295
$615$	9.78040	−	0.617267i	0.394384	−	0.0248906i
$616$	−4.55452	−	5.31558i	−0.183507	−	0.214171i
$617$	18.7738	−	10.8390i	0.755804	−	0.436364i	−0.0719831	−	0.997406i	$-0.522933\pi$
$617$	18.7738	−	10.8390i	0.755804	−	0.436364i	0.827787	+	0.561042i	$0.189599\pi$
$618$	−25.3016	+	50.9950i	−1.01778	+	2.05132i
$619$	−20.8767	+	12.0532i	−0.839105	+	0.484457i	−0.856960	−	0.515383i	$-0.827650\pi$
$619$	−20.8767	+	12.0532i	−0.839105	+	0.484457i	0.0178550	+	0.999841i	$0.494316\pi$
$620$	−25.8281	−	14.9119i	−1.03728	−	0.598875i
$621$	5.69727	+	1.98022i	0.228624	+	0.0794635i
$622$			40.7615i			1.63439i
$623$	8.46153	+	9.87546i	0.339004	+	0.395652i
$624$	−13.7196	+	9.11915i	−0.549222	+	0.365058i
$625$	10.7184	−	18.5648i	0.428735	−	0.742591i
$626$	−53.5285			−2.13943
$627$	−13.7505	+	27.7140i	−0.549143	+	1.10679i
$628$		−	42.6834i		−	1.70325i
$629$	9.22934			0.367998
$630$	−33.9755	−	7.33746i	−1.35362	−	0.292331i
$631$	3.37520			0.134365			0.0671824	−	0.997741i	$-0.478599\pi$
$631$	3.37520			0.134365			0.0671824	+	0.997741i	$0.478599\pi$
$632$			11.6026i			0.461525i
$633$	−15.2107	−	22.8841i	−0.604569	−	0.909561i
$634$	34.0043			1.35048
$635$	10.0232	−	17.3608i	0.397761	−	0.688941i
$636$	−22.6084	−	11.2173i	−0.896481	−	0.444797i
$637$	−13.6165	+	16.9244i	−0.539506	+	0.670569i
$638$		−	55.1368i		−	2.18289i
$639$	−2.64601	−	20.8790i	−0.104674	−	0.825962i
$640$	−11.6374	−	6.71887i	−0.460010	−	0.265587i
$641$	−30.9152	+	17.8489i	−1.22108	+	0.704989i	−0.965148	−	0.261706i	$-0.915715\pi$
$641$	−30.9152	+	17.8489i	−1.22108	+	0.704989i	−0.255930	+	0.966695i	$0.582382\pi$
$642$	−3.29393	−	4.95565i	−0.130001	−	0.195584i
$643$	−3.03956	+	1.75489i	−0.119868	+	0.0692060i	−0.558735	−	0.829346i	$-0.688713\pi$
$643$	−3.03956	+	1.75489i	−0.119868	+	0.0692060i	0.438867	+	0.898552i	$0.355380\pi$
$644$	6.92590	+	2.44025i	0.272919	+	0.0961592i
$645$	3.90683	+	5.87774i	0.153831	+	0.231436i
$646$	18.9258			0.744627
$647$	7.02996	−	12.1762i	0.276376	−	0.478698i	−0.694105	−	0.719874i	$-0.744200\pi$
$647$	7.02996	−	12.1762i	0.276376	−	0.478698i	0.970481	+	0.241176i	$0.0775331\pi$
$648$	−1.83967	−	7.14164i	−0.0722691	−	0.280550i
$649$	−11.0787	+	6.39629i	−0.434877	+	0.251076i
$650$	2.05679	−	3.56246i	0.0806739	−	0.139731i
$651$	6.71038	+	26.5151i	0.263000	+	1.03921i
$652$	21.3225	+	36.9317i	0.835055	+	1.44636i
$653$	−10.2675	−	5.92792i	−0.401797	−	0.231978i	0.285462	−	0.958390i	$-0.407853\pi$
$653$	−10.2675	−	5.92792i	−0.401797	−	0.231978i	−0.687259	+	0.726412i	$0.741186\pi$
$654$	−18.9012	−	9.37798i	−0.739095	−	0.366708i
$655$	2.57177	+	4.45443i	0.100487	+	0.174049i
$656$	−4.14905	−	7.18637i	−0.161993	−	0.280581i
$657$	−9.46292	−	3.97345i	−0.369184	−	0.155019i
$658$	8.28952	+	44.3341i	0.323159	+	1.72832i
$659$	5.03144	+	2.90491i	0.195997	+	0.113159i	0.594787	−	0.803883i	$-0.297236\pi$
$659$	5.03144	+	2.90491i	0.195997	+	0.113159i	−0.398790	+	0.917042i	$0.630570\pi$
$660$	1.76015	+	27.8890i	0.0685139	+	1.08558i
$661$			9.71786i			0.377981i	0.981979	+	0.188991i	$0.0605215\pi$
$661$			9.71786i			0.377981i	−0.981979	+	0.188991i	$0.939478\pi$
$662$			48.8491i			1.89858i
$663$	−0.552710	−	8.75751i	−0.0214655	−	0.340114i
$664$	2.19328	+	1.26629i	0.0851158	+	0.0491416i
$665$	5.62185	+	30.0668i	0.218006	+	1.16594i
$666$	−28.2987	+	21.4975i	−1.09655	+	0.833010i
$667$	4.72977	+	8.19220i	0.183137	+	0.317203i
$668$	−14.7503	−	25.5483i	−0.570707	−	0.988493i
$669$	24.2382	+	12.0260i	0.937102	+	0.464951i
$670$	2.55600	+	1.47571i	0.0987468	+	0.0570115i
$671$	7.73645	+	13.3999i	0.298662	+	0.517298i
$672$	9.06356	+	35.8133i	0.349634	+	1.38153i
$673$	13.4646	−	23.3214i	0.519023	−	0.898975i	−0.480732	−	0.876867i	$-0.659629\pi$
$673$	13.4646	−	23.3214i	0.519023	−	0.898975i	0.999756	−	0.0221072i	$-0.00703750\pi$
$674$	−21.5415	+	12.4370i	−0.829747	+	0.479055i
$675$	−2.14935	−	2.48707i	−0.0827284	−	0.0957272i
$676$	4.02953	−	6.97935i	0.154982	−	0.268436i
$677$	45.4112			1.74530			0.872648	−	0.488350i	$-0.162401\pi$
$677$	45.4112			1.74530			0.872648	+	0.488350i	$0.162401\pi$
$678$	−32.4631	−	48.8400i	−1.24674	−	1.87569i
$679$	−5.99162	−	2.11107i	−0.229937	−	0.0810153i
$680$	2.42120	−	1.39788i	0.0928487	−	0.0536062i
$681$	−1.99513	−	3.00163i	−0.0764537	−	0.115023i
$682$	34.9717	−	20.1909i	1.33913	−	0.773150i
$683$	−37.6543	−	21.7397i	−1.44080	−	0.831848i	−0.442900	−	0.896571i	$-0.646050\pi$
$683$	−37.6543	−	21.7397i	−1.44080	−	0.831848i	−0.997903	+	0.0647226i	$0.979384\pi$
$684$	−31.5988	+	24.0044i	−1.20821	+	0.917832i
$685$		−	36.3347i		−	1.38828i
$686$	20.4346	+	32.9932i	0.780198	+	1.25969i
$687$	−9.98338	−	4.95334i	−0.380890	−	0.188982i
$688$	2.98808	−	5.17551i	0.113919	−	0.197314i
$689$	18.9109			0.720448
$690$	−4.87380	−	7.33251i	−0.185542	−	0.279144i
$691$			27.3654i			1.04103i	0.853853	+	0.520514i	$0.174260\pi$
$691$			27.3654i			1.04103i	−0.853853	+	0.520514i	$0.825740\pi$
$692$	−21.6804			−0.824166
$693$	17.2102	−	18.9891i	0.653760	−	0.721335i
$694$	45.4845			1.72657
$695$			20.7812i			0.788277i
$696$	5.14065	−	10.3609i	0.194856	−	0.392729i
$697$	4.42008			0.167422
$698$	2.67212	−	4.62824i	0.101141	−	0.175182i
$699$	−22.5229	+	14.9706i	−0.851893	+	0.566239i
$700$	−2.60387	−	3.03898i	−0.0984171	−	0.114863i
$701$			8.26437i			0.312141i	0.987746	+	0.156070i	$0.0498827\pi$
$701$			8.26437i			0.312141i	−0.987746	+	0.156070i	$0.950117\pi$
$702$	22.0931	+	25.5645i	0.833852	+	0.964872i
$703$	27.0838	+	15.6368i	1.02148	+	0.589754i
$704$	30.0947	−	17.3752i	1.13424	−	0.654852i
$705$	13.0879	−	26.3785i	0.492919	−	0.993471i
$706$	46.0484	−	26.5861i	1.73306	−	1.00058i
$707$	−6.06043	−	7.07312i	−0.227926	−	0.266012i
$708$	−16.3759	+	1.03353i	−0.615444	+	0.0388423i
$709$	42.8171			1.60803			0.804015	−	0.594608i	$-0.202693\pi$
$709$	42.8171			1.60803			0.804015	+	0.594608i	$0.202693\pi$
$710$	−15.3608	+	26.6057i	−0.576481	+	0.998494i
$711$	−42.1413	+	5.34058i	−1.58042	+	0.200287i
$712$	3.48810	−	2.01385i	0.130722	−	0.0754724i
$713$	−3.46405	+	5.99992i	−0.129730	+	0.224699i
$714$	−15.0853	−	4.26811i	−0.564552	−	0.159730i
$715$	−10.4694	−	18.1335i	−0.391532	−	0.678153i
$716$	−31.1041	−	17.9579i	−1.16241	−	0.671120i
$717$	24.7806	−	16.4713i	0.925450	−	0.615131i
$718$	11.7805	+	20.4044i	0.439645	+	0.761487i
$719$	−11.5725	−	20.0442i	−0.431583	−	0.747523i	0.565427	−	0.824798i	$-0.308711\pi$
$719$	−11.5725	−	20.0442i	−0.431583	−	0.747523i	−0.997010	+	0.0772751i	$0.975378\pi$
$720$	7.43951	−	17.7175i	0.277254	−	0.660291i
$721$	−39.1391	−	13.7901i	−1.45762	−	0.513571i
$722$	21.0584	+	12.1581i	0.783712	+	0.452477i
$723$	−16.1823	+	10.7561i	−0.601825	+	0.400023i
$724$		−	5.59884i		−	0.208079i
$725$		−	5.15530i		−	0.191463i
$726$	1.86952	+	0.927578i	0.0693844	+	0.0344256i
$727$	−4.76878	−	2.75326i	−0.176864	−	0.102113i	0.408954	−	0.912555i	$-0.365894\pi$
$727$	−4.76878	−	2.75326i	−0.176864	−	0.102113i	−0.585819	+	0.810442i	$0.699227\pi$
$728$	4.37730	+	5.10874i	0.162233	+	0.189343i
$729$	25.0922	−	9.96907i	0.929340	−	0.369225i
$730$	7.49084	+	12.9745i	0.277248	+	0.480208i
$731$	1.59163	+	2.75679i	0.0588687	+	0.101964i
$732$	1.25007	+	19.8070i	0.0462040	+	0.732087i
$733$	−3.45543	−	1.99499i	−0.127629	−	0.0736867i	0.434826	−	0.900514i	$-0.356810\pi$
$733$	−3.45543	−	1.99499i	−0.127629	−	0.0736867i	−0.562455	+	0.826828i	$0.690143\pi$
$734$	3.46991	+	6.01005i	0.128077	+	0.221835i
$735$	2.29957	−	25.2333i	0.0848210	−	0.930744i
$736$	−4.67882	+	8.10395i	−0.172463	+	0.298716i
$737$	−1.88453	+	1.08803i	−0.0694176	+	0.0400783i
$738$	−13.5527	+	10.2955i	−0.498881	+	0.378981i
$739$	0.871657	−	1.50976i	0.0320644	−	0.0555372i	−0.849548	−	0.527512i	$-0.823125\pi$
$739$	0.871657	−	1.50976i	0.0320644	−	0.0555372i	0.881612	+	0.471974i	$0.156458\pi$
$740$	28.2480			1.03842
$741$	13.2155	−	26.6356i	0.485483	−	0.978483i
$742$	11.2277	−	31.8664i	0.412182	−	1.16985i
$743$	8.70204	−	5.02413i	0.319247	−	0.184317i	−0.331810	−	0.943346i	$-0.607659\pi$
$743$	8.70204	−	5.02413i	0.319247	−	0.184317i	0.651057	+	0.759029i	$0.274326\pi$
$744$	8.45412	−	0.533563i	0.309943	−	0.0195614i
$745$	−16.7541	+	9.67296i	−0.613821	+	0.354390i
$746$	12.0597	+	6.96267i	0.441537	+	0.254921i
$747$	−3.58971	+	8.54902i	−0.131341	+	0.312792i
$748$			12.6040i			0.460846i
$749$	3.29393	−	2.82232i	0.120358	−	0.103125i
$750$	2.69103	+	42.6385i	0.0982626	+	1.55694i
$751$	11.6725	−	20.2174i	0.425936	−	0.737743i	−0.570571	−	0.821248i	$-0.693278\pi$
$751$	11.6725	−	20.2174i	0.425936	−	0.737743i	0.996507	+	0.0835052i	$0.0266115\pi$
$752$	−24.9344			−0.909262
$753$	19.6781	−	1.24194i	0.717108	−	0.0452586i
$754$			52.9913i			1.92983i
$755$	−25.0148			−0.910383
$756$	30.5999	−	12.0072i	1.11291	−	0.436698i
$757$	−14.3334			−0.520957			−0.260479	−	0.965480i	$-0.583880\pi$
$757$	−14.3334			−0.520957			−0.260479	+	0.965480i	$0.583880\pi$
$758$		−	8.06634i		−	0.292983i
$759$	6.47867	−	0.408886i	0.235161	−	0.0148416i
$760$	9.47344			0.343638
$761$	11.3178	−	19.6029i	0.410268	−	0.710606i	−0.584650	−	0.811285i	$-0.698768\pi$
$761$	11.3178	−	19.6029i	0.410268	−	0.710606i	0.994919	+	0.100680i	$0.0321017\pi$
$762$	2.19293	+	34.7463i	0.0794416	+	1.25873i
$763$	5.11128	−	14.5068i	0.185041	−	0.525182i
$764$		−	21.6067i		−	0.781702i
$765$	6.19166	+	8.15054i	0.223860	+	0.294683i
$766$	−62.1046	−	35.8561i	−2.24393	−	1.29553i
$767$	10.6476	−	6.14741i	0.384463	−	0.221970i
$768$	−13.9176	+	0.878380i	−0.502210	+	0.0316958i
$769$	−42.6873	+	24.6455i	−1.53934	+	0.888741i	−0.540468	+	0.841365i	$0.681753\pi$
$769$	−42.6873	+	24.6455i	−1.53934	+	0.888741i	−0.998877	+	0.0473762i	$0.984914\pi$
$770$	−36.7722	+	6.87561i	−1.32518	+	0.247780i
$771$	−7.22133	+	14.5545i	−0.260070	+	0.524167i
$772$	13.1093			0.471815
$773$	11.0083	−	19.0670i	0.395943	−	0.685793i	−0.597278	−	0.802034i	$-0.703751\pi$
$773$	11.0083	−	19.0670i	0.395943	−	0.685793i	0.993221	+	0.116241i	$0.0370845\pi$
$774$	−11.3015	−	4.74545i	−0.406223	−	0.170572i
$775$	3.26986	−	1.88785i	0.117457	−	0.0678137i
$776$	−0.983745	+	1.70390i	−0.0353144	+	0.0611663i
$777$	−18.0614	−	18.5716i	−0.647948	−	0.666251i
$778$	14.1232	+	24.4621i	0.506340	+	0.877007i
$779$	12.9708	+	7.48872i	0.464729	+	0.268311i
$780$	−1.69166	−	26.8038i	−0.0605713	−	0.959732i
$781$	−11.3255	−	19.6163i	−0.405258	−	0.701927i
$782$	−1.98557	−	3.43911i	−0.0710040	−	0.122982i
$783$	39.9978	+	13.9022i	1.42941	+	0.496823i
$784$	−20.0055	+	7.75223i	−0.714483	+	0.276865i
$785$	−32.3083	−	18.6532i	−1.15313	−	0.665761i
$786$	−8.00213	−	3.97032i	−0.285426	−	0.141617i
$787$			10.8554i			0.386954i	0.981105	+	0.193477i	$0.0619765\pi$
$787$			10.8554i			0.386954i	−0.981105	+	0.193477i	$0.938024\pi$
$788$		−	6.90881i		−	0.246116i
$789$	12.6982	−	8.44025i	0.452067	−	0.300481i
$790$	53.6998	+	31.0036i	1.91055	+	1.10306i
$791$	32.4631	−	27.8152i	1.15426	−	0.988995i
$792$	−4.80130	−	6.32030i	−0.170607	−	0.224582i
$793$	−7.43542	−	12.8785i	−0.264039	−	0.457330i
$794$	−30.9112	−	53.5397i	−1.09700	−	1.90005i
$795$	−18.3709	+	12.2108i	−0.651548	+	0.433073i
$796$	−10.6502	−	6.14887i	−0.377485	−	0.217941i
$797$	−1.98299	−	3.43465i	−0.0702412	−	0.121661i	0.828766	−	0.559596i	$-0.189044\pi$
$797$	−1.98299	−	3.43465i	−0.0702412	−	0.121661i	−0.899007	+	0.437934i	$0.855710\pi$
$798$	−37.0369	−	38.0831i	−1.31109	−	1.34813i
$799$	6.64078	−	11.5022i	0.234934	−	0.406917i
$800$	4.41653	−	2.54988i	0.156148	−	0.0901520i
$801$	8.92002	+	11.7421i	0.315173	+	0.414886i
$802$	30.4312	−	52.7084i	1.07456	−	1.86120i
$803$	−11.0460			−0.389803
$804$	−2.78560	+	0.175807i	−0.0982407	+	0.00620024i
$805$	4.87380	−	4.17599i	0.171779	−	0.147184i
$806$	−33.6109	+	19.4053i	−1.18389	+	0.683521i
$807$	12.5708	−	25.3363i	0.442514	−	0.891880i
$808$	−2.49829	+	1.44239i	−0.0878896	+	0.0507431i
$809$	−36.0199	−	20.7961i	−1.26639	−	0.731152i	−0.292088	−	0.956391i	$-0.594350\pi$
$809$	−36.0199	−	20.7961i	−1.26639	−	0.731152i	−0.974303	+	0.225240i	$0.927683\pi$
$810$	−37.9693	−	10.5689i	−1.33411	−	0.371354i
$811$			13.3293i			0.468056i	0.972230	+	0.234028i	$0.0751907\pi$
$811$			13.3293i			0.468056i	−0.972230	+	0.234028i	$0.924809\pi$
$812$	48.6234	+	17.1318i	1.70635	+	0.601208i
$813$	21.0179	−	13.9703i	0.737131	−	0.489958i
$814$	−19.1241	+	33.1239i	−0.670299	+	1.16099i
$815$	37.2729			1.30561
$816$	3.85216	−	7.76398i	0.134853	−	0.271794i
$817$			10.7865i			0.377372i
$818$	63.4417			2.21819
$819$	−16.5405	+	18.2502i	−0.577971	+	0.637713i
$820$	13.5284			0.472432
$821$		−	38.6054i		−	1.34734i	−0.739034	−	0.673668i	$-0.764718\pi$
$821$		−	38.6054i		−	1.34734i	0.739034	−	0.673668i	$-0.235282\pi$
$822$	34.9314	+	52.5535i	1.21837	+	1.83302i
$823$	−10.6976			−0.372896			−0.186448	−	0.982465i	$-0.559698\pi$
$823$	−10.6976			−0.372896			−0.186448	+	0.982465i	$0.559698\pi$
$824$	−6.42613	+	11.1304i	−0.223865	+	0.387745i
$825$	−3.16916	−	1.57240i	−0.110336	−	0.0547441i
$826$	−4.03723	−	21.5919i	−0.140473	−	0.751279i
$827$		−	11.7079i		−	0.407125i	−0.979062	−	0.203562i	$-0.934748\pi$
$827$		−	11.7079i		−	0.407125i	0.979062	−	0.203562i	$-0.0652520\pi$
$828$	7.67710	+	3.22359i	0.266798	+	0.112028i
$829$	−15.0948	−	8.71498i	−0.524263	−	0.302684i	0.214414	−	0.976743i	$-0.431216\pi$
$829$	−15.0948	−	8.71498i	−0.524263	−	0.302684i	−0.738677	+	0.674059i	$0.764549\pi$
$830$	11.7215	−	6.76740i	0.406858	−	0.234900i
$831$	27.5303	+	41.4187i	0.955015	+	1.43680i
$832$	−28.9237	+	16.6991i	−1.00275	+	0.578937i
$833$	1.75199	−	11.2932i	0.0607030	−	0.391285i
$834$	−19.9786	−	30.0574i	−0.691804	−	1.04080i
$835$	−25.7843			−0.892302
$836$	−21.3543	+	36.9867i	−0.738553	+	1.27921i
$837$	5.82931	+	30.4604i	0.201491	+	1.05286i
$838$	66.3838	−	38.3267i	2.29319	−	1.32397i
$839$	−0.704502	+	1.22023i	−0.0243221	+	0.0421271i	−0.877930	−	0.478789i	$-0.841076\pi$
$839$	−0.704502	+	1.22023i	−0.0243221	+	0.0421271i	0.853608	+	0.520916i	$0.174409\pi$
$840$	−7.55102	−	2.13643i	−0.260535	−	0.0737137i
$841$	18.7055	+	32.3988i	0.645016	+	1.11720i
$842$	14.0097	+	8.08853i	0.482808	+	0.278749i
$843$	8.54401	+	4.23918i	0.294271	+	0.146005i
$844$	−18.9663	−	32.8506i	−0.652848	−	1.13077i
$845$	−3.52191	−	6.10012i	−0.121157	−	0.209851i
$846$	6.42973	+	50.7356i	0.221059	+	1.74432i
$847$	−0.505558	+	1.43487i	−0.0173712	+	0.0493028i
$848$	16.1761	+	9.33925i	0.555488	+	0.320711i
$849$	3.30378	+	52.3473i	0.113385	+	1.79656i
$850$			2.16421i			0.0742319i
$851$		−	6.56205i		−	0.224944i
$852$	−1.83000	−	28.9957i	−0.0626947	−	0.993376i
$853$	28.0716	+	16.2071i	0.961153	+	0.554922i	0.896528	−	0.442987i	$-0.146081\pi$
$853$	28.0716	+	16.2071i	0.961153	+	0.554922i	0.0646255	+	0.997910i	$0.479415\pi$
$854$	−26.1159	+	4.88311i	−0.893667	+	0.167097i
$855$	4.36056	+	34.4082i	0.149128	+	1.17674i
$856$	−0.671716	−	1.16345i	−0.0229588	−	0.0397658i
$857$	22.2270	+	38.4982i	0.759258	+	1.31507i	0.943229	+	0.332142i	$0.107771\pi$
$857$	22.2270	+	38.4982i	0.759258	+	1.31507i	−0.183971	+	0.982932i	$0.558895\pi$
$858$	32.5758	+	16.1627i	1.11212	+	0.551787i
$859$	13.5528	+	7.82472i	0.462416	+	0.266976i	0.713060	−	0.701103i	$-0.247309\pi$
$859$	13.5528	+	7.82472i	0.462416	+	0.266976i	−0.250644	+	0.968079i	$0.580642\pi$
$860$	4.87147	+	8.43763i	0.166116	+	0.287721i
$861$	−8.64987	−	8.89421i	−0.294787	−	0.303114i
$862$	−24.2342	+	41.9748i	−0.825420	+	1.42967i
$863$	15.6911	−	9.05927i	0.534132	−	0.308381i	−0.208565	−	0.978008i	$-0.566879\pi$
$863$	15.6911	−	9.05927i	0.534132	−	0.308381i	0.742697	+	0.669627i	$0.233546\pi$
$864$	7.87352	+	41.1422i	0.267863	+	1.39968i
$865$	−9.47462	+	16.4105i	−0.322147	+	0.557975i
$866$	−73.1878			−2.48702
$867$	−13.7438	−	20.6773i	−0.466765	−	0.702237i
$868$	6.93953	+	37.1140i	0.235543	+	1.25973i
$869$	−39.5927	+	22.8589i	−1.34309	+	0.775434i
$870$	−34.2166	−	51.4781i	−1.16005	−	1.74527i
$871$	1.81120	−	1.04570i	0.0613703	−	0.0354321i
$872$	−4.12545	−	2.38183i	−0.139705	−	0.0806589i
$873$	−6.64149	−	2.78874i	−0.224780	−	0.0943846i
$874$		−	13.4562i		−	0.455164i
$875$	−30.6131	+	5.72400i	−1.03491	+	0.193506i
$876$	−12.6918	−	6.29716i	−0.428817	−	0.212761i
$877$	1.38926	−	2.40628i	0.0469121	−	0.0812542i	−0.841616	−	0.540077i	$-0.818395\pi$
$877$	1.38926	−	2.40628i	0.0469121	−	0.0812542i	0.888528	+	0.458822i	$0.151729\pi$
$878$	81.5042			2.75063
$879$	−6.79515	−	10.2232i	−0.229195	−	0.344818i
$880$		−	20.6814i		−	0.697170i
$881$	1.96106			0.0660696			0.0330348	−	0.999454i	$-0.489483\pi$
$881$	1.96106			0.0660696			0.0330348	+	0.999454i	$0.489483\pi$
$882$	20.9327	+	38.7075i	0.704841	+	1.30335i
$883$	−36.9657			−1.24400			−0.621998	−	0.783019i	$-0.713679\pi$
$883$	−36.9657			−1.24400			−0.621998	+	0.783019i	$0.713679\pi$
$884$		−	12.1135i		−	0.407422i
$885$	−6.37417	+	12.8470i	−0.214265	+	0.431848i
$886$	−78.2219			−2.62792
$887$	−11.2584	+	19.5001i	−0.378020	+	0.654750i	−0.990774	−	0.135524i	$-0.956728\pi$
$887$	−11.2584	+	19.5001i	−0.378020	+	0.654750i	0.612754	+	0.790274i	$0.290062\pi$
$888$	−6.68195	+	4.44138i	−0.224232	+	0.149043i
$889$	−24.9468	+	4.66451i	−0.836688	+	0.156443i
$890$		−	21.5251i		−	0.721525i
$891$	20.7458	−	20.3479i	0.695010	−	0.681680i
$892$	32.3479	+	18.6761i	1.08309	+	0.625321i
$893$	38.9751	−	22.5023i	1.30425	−	0.753011i
$894$	14.9332	−	30.0977i	0.499442	−	1.00662i
$895$	−27.1857	+	15.6957i	−0.908719	+	0.524649i
$896$	3.12676	+	16.7225i	0.104458	+	0.558661i
$897$	−6.22657	+	0.392976i	−0.207899	+	0.0131211i
$898$	−50.1289			−1.67282
$899$	−24.3195	+	42.1225i	−0.811099	+	1.40487i
$900$	−2.74496	−	3.61339i	−0.0914987	−	0.120446i
$901$	−8.61635	+	4.97465i	−0.287052	+	0.165730i
$902$	−9.15882	+	15.8635i	−0.304955	+	0.528198i
$903$	2.43255	−	8.59763i	0.0809501	−	0.286111i
$904$	−6.62005	−	11.4663i	−0.220180	−	0.381362i
$905$	−4.23792	−	2.44676i	−0.140873	−	0.0813332i
$906$	36.1808	−	24.0487i	1.20203	−	0.798966i
$907$	9.55982	+	16.5581i	0.317428	+	0.549802i	0.979951	−	0.199240i	$-0.0638473\pi$
$907$	9.55982	+	16.5581i	0.317428	+	0.549802i	−0.662522	+	0.749042i	$0.730514\pi$
$908$	−2.48775	−	4.30891i	−0.0825589	−	0.142996i
$909$	−6.38881	−	8.41005i	−0.211903	−	0.278944i
$910$	35.3414	−	6.60808i	1.17155	−	0.219056i
$911$	4.92610	+	2.84408i	0.163209	+	0.0942287i	0.579380	−	0.815058i	$-0.303295\pi$
$911$	4.92610	+	2.84408i	0.163209	+	0.0942287i	−0.416171	+	0.909286i	$0.636628\pi$
$912$	24.4584	−	16.2571i	0.809899	−	0.538326i
$913$			9.97917i			0.330262i
$914$			20.9142i			0.691781i
$915$	15.5388	+	7.70969i	0.513696	+	0.254874i
$916$	−13.3237	−	7.69242i	−0.440226	−	0.254165i
$917$	2.16395	−	6.14170i	0.0714598	−	0.202817i
$918$	−16.7912	−	5.83618i	−0.554193	−	0.192623i
$919$	−10.9255	−	18.9235i	−0.360399	−	0.624230i	0.627627	−	0.778514i	$-0.284026\pi$
$919$	−10.9255	−	18.9235i	−0.360399	−	0.624230i	−0.988027	+	0.154284i	$0.950693\pi$
$920$	−0.993890	−	1.72147i	−0.0327676	−	0.0567551i
$921$	0.339670	+	5.38196i	0.0111925	+	0.177342i
$922$	−60.7134	−	35.0529i	−1.99949	−	1.15441i
$923$	10.8848	+	18.8530i	0.358278	+	0.620555i
$924$	25.3620	−	24.6653i	0.834350	−	0.811429i
$925$	−1.78811	+	3.09709i	−0.0587926	+	0.101832i
$926$	−41.8672	+	24.1720i	−1.37584	+	0.794343i
$927$	−43.3843	−	18.2169i	−1.42493	−	0.598322i
$928$	−32.8477	+	56.8940i	−1.07828	+	1.86764i
$929$	16.1761			0.530721			0.265361	−	0.964149i	$-0.414509\pi$
$929$	16.1761			0.530721			0.265361	+	0.964149i	$0.414509\pi$
$930$	20.1211	−	40.5537i	0.659796	−	1.32981i
$931$	24.2747	−	30.1718i	0.795572	−	0.988841i
$932$	−32.3321	+	18.6669i	−1.05907	+	0.611456i
$933$	−33.6251	+	2.12217i	−1.10084	+	0.0694768i
$934$	73.0960	−	42.2020i	2.39177	−	1.38089i
$935$	9.54029	+	5.50809i	0.312001	+	0.180134i
$936$	4.61448	+	6.07437i	0.150829	+	0.198547i
$937$		−	14.0440i		−	0.458799i	−0.973332	−	0.229400i	$-0.926324\pi$
$937$		−	14.0440i		−	0.458799i	0.973332	−	0.229400i	$-0.0736762\pi$
$938$	−0.686748	−	3.67287i	−0.0224231	−	0.119924i
$939$	−2.78686	−	44.1569i	−0.0909459	−	1.44101i
$940$	20.3252	−	35.2043i	0.662936	−	1.14824i
$941$	43.1868			1.40785			0.703924	−	0.710275i	$-0.251429\pi$
$941$	43.1868			1.40785			0.703924	+	0.710275i	$0.251429\pi$
$942$	64.6626	−	4.08103i	2.10682	−	0.132967i
$943$		−	3.14267i		−	0.102339i
$944$	12.1437			0.395244
$945$	4.28397	−	28.4092i	0.139358	−	0.924153i
$946$	−13.1921			−0.428911
$947$			19.1952i			0.623759i	0.950122	+	0.311879i	$0.100959\pi$
$947$			19.1952i			0.623759i	−0.950122	+	0.311879i	$0.899041\pi$
$948$	−58.5237	+	3.69359i	−1.90076	+	0.119962i
$949$	10.6161			0.344615
$950$	−3.66672	+	6.35095i	−0.118964	+	0.206052i
$951$	1.77037	+	28.0509i	0.0574082	+	0.909614i
$952$	−3.33832	−	1.17621i	−0.108195	−	0.0381212i
$953$			5.62718i			0.182282i	0.995838	+	0.0911411i	$0.0290514\pi$
$953$			5.62718i			0.182282i	−0.995838	+	0.0911411i	$0.970949\pi$
$954$	14.8319	−	35.3228i	0.480201	−	1.14362i
$955$	−16.3547	−	9.44239i	−0.529225	−	0.305548i
$956$	35.5732	−	20.5382i	1.15052	−	0.664252i
$957$	45.4836	−	2.87060i	1.47028	−	0.0927932i
$958$	0.282197	−	0.162926i	0.00911736	−	0.00526391i
$959$	−34.9314	+	29.9301i	−1.12799	+	0.966494i
$960$	17.3151	−	34.8983i	0.558842	−	1.12634i
$961$	−4.62282			−0.149123
$962$	18.3799	−	31.8350i	0.592593	−	1.02640i
$963$	3.91654	−	2.97525i	0.126209	−	0.0958761i
$964$	−23.2300	+	13.4119i	−0.748189	+	0.431967i
$965$	5.72894	−	9.92282i	0.184421	−	0.319427i
$966$	−3.03462	+	10.7256i	−0.0976372	+	0.345091i
$967$	−7.62091	−	13.1998i	−0.245072	−	0.424477i	0.717080	−	0.696991i	$-0.245478\pi$
$967$	−7.62091	−	13.1998i	−0.245072	−	0.424477i	−0.962152	+	0.272514i	$0.912145\pi$
$968$	0.408049	+	0.235587i	0.0131152	+	0.00757206i
$969$	0.985339	+	15.6124i	0.0316537	+	0.501542i
$970$	5.25740	+	9.10608i	0.168805	+	0.292379i
$971$	20.4479	+	35.4168i	0.656205	+	1.13658i	0.981590	+	0.190998i	$0.0611725\pi$
$971$	20.4479	+	35.4168i	0.656205	+	1.13658i	−0.325386	+	0.945581i	$0.605494\pi$
$972$	35.4370	−	11.5528i	1.13664	−	0.370558i
$973$	19.9786	−	17.1182i	0.640486	−	0.548784i
$974$	29.9472	+	17.2900i	0.959571	+	0.554009i
$975$	3.04584	+	1.51122i	0.0975450	+	0.0483978i
$976$		−	14.6881i		−	0.470154i
$977$		−	10.3726i		−	0.331850i	−0.986138	−	0.165925i	$-0.946939\pi$
$977$		−	10.3726i		−	0.331850i	0.986138	−	0.165925i	$-0.0530609\pi$
$978$	−53.9105	+	35.8334i	−1.72387	+	1.14582i
$979$	13.7442	+	7.93522i	0.439267	+	0.253611i
$980$	5.36227	−	34.5646i	0.171291	−	1.10413i
$981$	6.75206	−	16.0803i	0.215577	−	0.513404i
$982$	9.79963	+	16.9735i	0.312719	+	0.541645i
$983$	1.05850	+	1.83338i	0.0337609	+	0.0584756i	0.882412	−	0.470477i	$-0.155918\pi$
$983$	1.05850	+	1.83338i	0.0337609	+	0.0584756i	−0.848651	+	0.528953i	$0.822585\pi$
$984$	−3.20009	+	2.12705i	−0.102015	+	0.0678077i
$985$	−5.22947	−	3.01924i	−0.166625	−	0.0962009i
$986$	−13.9398	−	24.1444i	−0.443932	−	0.768914i
$987$	−36.1407	+	9.14640i	−1.15037	+	0.291133i
$988$	20.5234	−	35.5475i	0.652935	−	1.13092i
$989$	1.96007	−	1.13165i	0.0623267	−	0.0359843i
$990$	−42.0818	+	5.33304i	−1.33745	+	0.169495i
$991$	−17.0581	+	29.5456i	−0.541870	+	0.938546i	0.456927	+	0.889504i	$0.348950\pi$
$991$	−17.0581	+	29.5456i	−0.541870	+	0.938546i	−0.998797	+	0.0490418i	$0.984383\pi$
$992$	−48.1149			−1.52765
$993$	−40.2968	+	2.54324i	−1.27878	+	0.0807073i
$994$	38.2314	−	7.14844i	1.21263	−	0.226735i
$995$	−9.30850	+	5.37427i	−0.295099	+	0.170376i
$996$	−5.68900	+	11.4661i	−0.180263	+	0.363317i
$997$	39.6843	−	22.9118i	1.25682	−	0.725623i	0.284361	−	0.958717i	$-0.408218\pi$
$997$	39.6843	−	22.9118i	1.25682	−	0.725623i	0.972454	+	0.233094i	$0.0748851\pi$
$998$	−3.62264	−	2.09153i	−0.114673	−	0.0662064i
$999$	−19.2071	−	22.2250i	−0.607685	−	0.703168i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	63.2.i.b.38.5	yes	10
3.2	odd	2		189.2.i.b.143.1		10
4.3	odd	2		1008.2.ca.b.353.5		10
7.2	even	3		441.2.s.b.362.5		10
7.3	odd	6		441.2.o.c.146.1		10
7.4	even	3		441.2.o.d.146.1		10
7.5	odd	6		63.2.s.b.47.5	yes	10
7.6	odd	2		441.2.i.b.227.5		10
9.2	odd	6		567.2.p.c.80.1		10
9.4	even	3		189.2.s.b.17.1		10
9.5	odd	6		63.2.s.b.59.5	yes	10
9.7	even	3		567.2.p.d.80.5		10
12.11	even	2		3024.2.ca.b.2033.5		10
21.2	odd	6		1323.2.s.b.656.1		10
21.5	even	6		189.2.s.b.89.1		10
21.11	odd	6		1323.2.o.c.440.5		10
21.17	even	6		1323.2.o.d.440.5		10
21.20	even	2		1323.2.i.b.521.1		10
28.19	even	6		1008.2.df.b.929.3		10
36.23	even	6		1008.2.df.b.689.3		10
36.31	odd	6		3024.2.df.b.17.5		10
63.4	even	3		1323.2.o.d.881.5		10
63.5	even	6	inner	63.2.i.b.5.1	✓	10
63.13	odd	6		1323.2.s.b.962.1		10
63.23	odd	6		441.2.i.b.68.1		10
63.31	odd	6		1323.2.o.c.881.5		10
63.32	odd	6		441.2.o.c.293.1		10
63.40	odd	6		189.2.i.b.152.5		10
63.41	even	6		441.2.s.b.374.5		10
63.47	even	6		567.2.p.d.404.5		10
63.58	even	3		1323.2.i.b.1097.5		10
63.59	even	6		441.2.o.d.293.1		10
63.61	odd	6		567.2.p.c.404.1		10
84.47	odd	6		3024.2.df.b.1601.5		10
252.103	even	6		3024.2.ca.b.2609.5		10
252.131	odd	6		1008.2.ca.b.257.5		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
63.2.i.b.5.1	✓	10	63.5	even	6	inner
63.2.i.b.38.5	yes	10	1.1	even	1	trivial
63.2.s.b.47.5	yes	10	7.5	odd	6
63.2.s.b.59.5	yes	10	9.5	odd	6
189.2.i.b.143.1		10	3.2	odd	2
189.2.i.b.152.5		10	63.40	odd	6
189.2.s.b.17.1		10	9.4	even	3
189.2.s.b.89.1		10	21.5	even	6
441.2.i.b.68.1		10	63.23	odd	6
441.2.i.b.227.5		10	7.6	odd	2
441.2.o.c.146.1		10	7.3	odd	6
441.2.o.c.293.1		10	63.32	odd	6
441.2.o.d.146.1		10	7.4	even	3
441.2.o.d.293.1		10	63.59	even	6
441.2.s.b.362.5		10	7.2	even	3
441.2.s.b.374.5		10	63.41	even	6
567.2.p.c.80.1		10	9.2	odd	6
567.2.p.c.404.1		10	63.61	odd	6
567.2.p.d.80.5		10	9.7	even	3
567.2.p.d.404.5		10	63.47	even	6
1008.2.ca.b.257.5		10	252.131	odd	6
1008.2.ca.b.353.5		10	4.3	odd	2
1008.2.df.b.689.3		10	36.23	even	6
1008.2.df.b.929.3		10	28.19	even	6
1323.2.i.b.521.1		10	21.20	even	2
1323.2.i.b.1097.5		10	63.58	even	3
1323.2.o.c.440.5		10	21.11	odd	6
1323.2.o.c.881.5		10	63.31	odd	6
1323.2.o.d.440.5		10	21.17	even	6
1323.2.o.d.881.5		10	63.4	even	3
1323.2.s.b.656.1		10	21.2	odd	6
1323.2.s.b.962.1		10	63.13	odd	6
3024.2.ca.b.2033.5		10	12.11	even	2
3024.2.ca.b.2609.5		10	252.103	even	6
3024.2.df.b.17.5		10	36.31	odd	6
3024.2.df.b.1601.5		10	84.47	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 63 = 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	63.i (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+2.09548i q^{2} +(-1.72861 + 0.109097i) q^{3} -2.39104 q^{4} +(-1.04492 + 1.80985i) q^{5} +(-0.228612 - 3.62227i) q^{6} +(2.60068 - 0.486271i) q^{7} -0.819421i q^{8} +(2.97620 - 0.377174i) q^{9} +O(q^{10})\)	\(q+2.09548i q^{2} +(-1.72861 + 0.109097i) q^{3} -2.39104 q^{4} +(-1.04492 + 1.80985i) q^{5} +(-0.228612 - 3.62227i) q^{6} +(2.60068 - 0.486271i) q^{7} -0.819421i q^{8} +(2.97620 - 0.377174i) q^{9} +(-3.79250 - 2.18960i) q^{10} +(2.79620 - 1.61439i) q^{11} +(4.13318 - 0.260856i) q^{12} +(-2.68740 + 1.55157i) q^{13} +(1.01897 + 5.44968i) q^{14} +(1.60880 - 3.24252i) q^{15} -3.06500 q^{16} +(0.816304 - 1.41388i) q^{17} +(0.790361 + 6.23656i) q^{18} +(4.79094 - 2.76605i) q^{19} +(2.49844 - 4.32742i) q^{20} +(-4.44252 + 1.12430i) q^{21} +(3.38292 + 5.85939i) q^{22} +(-1.00527 - 0.580391i) q^{23} +(0.0893966 + 1.41646i) q^{24} +(0.316304 + 0.547854i) q^{25} +(-3.25129 - 5.63139i) q^{26} +(-5.10354 + 0.976682i) q^{27} +(-6.21834 + 1.16270i) q^{28} +(-7.05749 - 4.07464i) q^{29} +(6.79464 + 3.37122i) q^{30} -5.96849i q^{31} -8.06150i q^{32} +(-4.65742 + 3.09571i) q^{33} +(2.96276 + 1.71055i) q^{34} +(-1.83741 + 5.21495i) q^{35} +(-7.11621 + 0.901839i) q^{36} +(2.82656 + 4.89575i) q^{37} +(5.79620 + 10.0393i) q^{38} +(4.47620 - 2.97525i) q^{39} +(1.48303 + 0.856225i) q^{40} +(1.35369 + 2.34465i) q^{41} +(-2.35595 - 9.30921i) q^{42} +(-0.974903 + 1.68858i) q^{43} +(-6.68583 + 3.86007i) q^{44} +(-2.42725 + 5.78057i) q^{45} +(1.21620 - 2.10652i) q^{46} +8.13518 q^{47} +(5.29820 - 0.334384i) q^{48} +(6.52708 - 2.52927i) q^{49} +(-1.14802 + 0.662809i) q^{50} +(-1.25682 + 2.53311i) q^{51} +(6.42568 - 3.70987i) q^{52} +(-5.27766 - 3.04706i) q^{53} +(-2.04662 - 10.6944i) q^{54} +6.74759i q^{55} +(-0.398461 - 2.13105i) q^{56} +(-7.97990 + 5.30410i) q^{57} +(8.53834 - 14.7888i) q^{58} -3.96206 q^{59} +(-3.84672 + 7.75300i) q^{60} +4.79219i q^{61} +12.5068 q^{62} +(7.55673 - 2.42815i) q^{63} +10.7627 q^{64} -6.48504i q^{65} +(-6.48700 - 9.75954i) q^{66} -0.673961 q^{67} +(-1.95182 + 3.38065i) q^{68} +(1.80103 + 0.893598i) q^{69} +(-10.9278 - 3.85027i) q^{70} -7.01535i q^{71} +(-0.309064 - 2.43876i) q^{72} +(-2.96276 - 1.71055i) q^{73} +(-10.2590 + 5.92301i) q^{74} +(-0.606536 - 0.912519i) q^{75} +(-11.4553 + 6.61374i) q^{76} +(6.48700 - 5.55822i) q^{77} +(6.23458 + 9.37978i) q^{78} -14.1595 q^{79} +(3.20267 - 5.54718i) q^{80} +(8.71548 - 2.24509i) q^{81} +(-4.91318 + 2.83662i) q^{82} +(-1.54535 + 2.67662i) q^{83} +(10.6222 - 2.68825i) q^{84} +(1.70594 + 2.95477i) q^{85} +(-3.53839 - 2.04289i) q^{86} +(12.6442 + 6.27352i) q^{87} +(-1.32286 - 2.29127i) q^{88} +(2.45766 + 4.25679i) q^{89} +(-12.1131 - 5.08625i) q^{90} +(-6.23458 + 5.34194i) q^{91} +(2.40363 + 1.38774i) q^{92} +(0.651146 + 10.3172i) q^{93} +17.0471i q^{94} +11.5611i q^{95} +(0.879488 + 13.9352i) q^{96} +(-2.07939 - 1.20054i) q^{97} +(5.30004 + 13.6774i) q^{98} +(7.71314 - 5.85939i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9}+O(q^{10}) \) 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9	\( 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9} - 15 q^{10} - 12 q^{11} - 12 q^{12} - 6 q^{13} + 12 q^{14} - 3 q^{15} + 12 q^{16} + 12 q^{17} + 24 q^{18} + 3 q^{19} + 3 q^{20} - 9 q^{21} + 5 q^{22} - 15 q^{23} + 7 q^{25} - 3 q^{26} - 27 q^{27} + 2 q^{28} - 15 q^{29} + 6 q^{30} - 3 q^{34} + 15 q^{35} - 18 q^{36} + 6 q^{37} + 18 q^{38} + 18 q^{39} + 15 q^{40} + 9 q^{41} - 12 q^{42} + 3 q^{43} - 24 q^{44} + 30 q^{45} - 13 q^{46} + 30 q^{47} + 15 q^{48} + 4 q^{49} + 3 q^{50} + 21 q^{51} - 12 q^{52} + 9 q^{53} + 9 q^{54} - 30 q^{56} - 36 q^{57} + 8 q^{58} - 36 q^{59} - 48 q^{60} - 12 q^{62} - 15 q^{63} + 6 q^{64} - 39 q^{66} + 20 q^{67} - 27 q^{68} + 3 q^{69} + 6 q^{70} - 30 q^{72} + 3 q^{73} - 30 q^{74} + 6 q^{75} - 9 q^{76} + 39 q^{77} + 24 q^{78} - 40 q^{79} + 30 q^{80} + 15 q^{81} + 9 q^{82} + 15 q^{83} + 93 q^{84} + 18 q^{85} + 54 q^{86} + 6 q^{87} - 8 q^{88} - 24 q^{89} - 24 q^{90} - 24 q^{91} + 39 q^{92} + 36 q^{93} + 33 q^{96} - 6 q^{97} - 45 q^{98} + 21 q^{99}+O(q^{100}) \) 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9 - 15 * q^10 - 12 * q^11 - 12 * q^12 - 6 * q^13 + 12 * q^14 - 3 * q^15 + 12 * q^16 + 12 * q^17 + 24 * q^18 + 3 * q^19 + 3 * q^20 - 9 * q^21 + 5 * q^22 - 15 * q^23 + 7 * q^25 - 3 * q^26 - 27 * q^27 + 2 * q^28 - 15 * q^29 + 6 * q^30 - 3 * q^34 + 15 * q^35 - 18 * q^36 + 6 * q^37 + 18 * q^38 + 18 * q^39 + 15 * q^40 + 9 * q^41 - 12 * q^42 + 3 * q^43 - 24 * q^44 + 30 * q^45 - 13 * q^46 + 30 * q^47 + 15 * q^48 + 4 * q^49 + 3 * q^50 + 21 * q^51 - 12 * q^52 + 9 * q^53 + 9 * q^54 - 30 * q^56 - 36 * q^57 + 8 * q^58 - 36 * q^59 - 48 * q^60 - 12 * q^62 - 15 * q^63 + 6 * q^64 - 39 * q^66 + 20 * q^67 - 27 * q^68 + 3 * q^69 + 6 * q^70 - 30 * q^72 + 3 * q^73 - 30 * q^74 + 6 * q^75 - 9 * q^76 + 39 * q^77 + 24 * q^78 - 40 * q^79 + 30 * q^80 + 15 * q^81 + 9 * q^82 + 15 * q^83 + 93 * q^84 + 18 * q^85 + 54 * q^86 + 6 * q^87 - 8 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 39 * q^92 + 36 * q^93 + 33 * q^96 - 6 * q^97 - 45 * q^98 + 21 * q^99

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