LMFDB - Embedded newform 637.2.w.b.547.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (of order $7$, degree $6$, 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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			547.11
Character	$\chi$	$=$	637.547
Dual form			637.2.w.b.92.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.440322 - 0.552147i) q^{2} +(-1.61690 + 0.778657i) q^{3} +(0.334060 - 1.46361i) q^{4} +(2.37681 - 1.14461i) q^{5} +(1.14189 + 0.549905i) q^{6} +(2.31524 + 1.28050i) q^{7} +(-2.22779 + 1.07285i) q^{8} +(0.137583 - 0.172524i) q^{9} +O(q^{10})$	\(q+(-0.440322 - 0.552147i) q^{2} +(-1.61690 + 0.778657i) q^{3} +(0.334060 - 1.46361i) q^{4} +(2.37681 - 1.14461i) q^{5} +(1.14189 + 0.549905i) q^{6} +(2.31524 + 1.28050i) q^{7} +(-2.22779 + 1.07285i) q^{8} +(0.137583 - 0.172524i) q^{9} +(-1.67856 - 0.808350i) q^{10} +(2.95619 + 3.70695i) q^{11} +(0.599511 + 2.62663i) q^{12} +(0.623490 + 0.781831i) q^{13} +(-0.312426 - 1.84218i) q^{14} +(-2.95180 + 3.70144i) q^{15} +(-1.13185 - 0.545068i) q^{16} +(1.44108 + 6.31378i) q^{17} -0.155839 q^{18} -2.30376 q^{19} +(-0.881269 - 3.86109i) q^{20} +(-4.74057 - 0.267664i) q^{21} +(0.745102 - 3.26451i) q^{22} +(1.64280 - 7.19756i) q^{23} +(2.76673 - 3.46937i) q^{24} +(1.22164 - 1.53189i) q^{25} +(0.157149 - 0.688516i) q^{26} +(1.10990 - 4.86280i) q^{27} +(2.64758 - 2.96084i) q^{28} +(1.37086 + 6.00614i) q^{29} +3.34348 q^{30} -3.96261 q^{31} +(1.29786 + 5.68628i) q^{32} +(-7.66631 - 3.69190i) q^{33} +(2.85159 - 3.57578i) q^{34} +(6.96855 + 0.393460i) q^{35} +(-0.206547 - 0.259001i) q^{36} +(1.84443 + 8.08099i) q^{37} +(1.01440 + 1.27201i) q^{38} +(-1.61690 - 0.778657i) q^{39} +(-4.06704 + 5.09991i) q^{40} +(6.82774 - 3.28807i) q^{41} +(1.93959 + 2.73535i) q^{42} +(8.94953 + 4.30987i) q^{43} +(6.41308 - 3.08838i) q^{44} +(0.129536 - 0.567535i) q^{45} +(-4.69747 + 2.26218i) q^{46} +(-1.41084 - 1.76914i) q^{47} +2.25450 q^{48} +(3.72064 + 5.92932i) q^{49} -1.38374 q^{50} +(-7.24635 - 9.08663i) q^{51} +(1.35258 - 0.651368i) q^{52} +(2.76595 - 12.1184i) q^{53} +(-3.17369 + 1.52837i) q^{54} +(11.2693 + 5.42702i) q^{55} +(-6.53164 - 0.368792i) q^{56} +(3.72494 - 1.79384i) q^{57} +(2.71265 - 3.40156i) q^{58} +(-6.41320 - 3.08843i) q^{59} +(4.43139 + 5.55679i) q^{60} +(-0.312745 - 1.37022i) q^{61} +(1.74482 + 2.18794i) q^{62} +(0.539454 - 0.223258i) q^{63} +(1.00166 - 1.25605i) q^{64} +(2.37681 + 1.14461i) q^{65} +(1.33718 + 5.85855i) q^{66} -2.39670 q^{67} +9.72232 q^{68} +(2.94820 + 12.9169i) q^{69} +(-2.85116 - 4.02091i) q^{70} +(3.32061 - 14.5485i) q^{71} +(-0.121415 + 0.531952i) q^{72} +(6.12664 - 7.68256i) q^{73} +(3.64974 - 4.57663i) q^{74} +(-0.782451 + 3.42814i) q^{75} +(-0.769593 + 3.37181i) q^{76} +(2.09754 + 12.3679i) q^{77} +(0.282023 + 1.23562i) q^{78} +0.0239945 q^{79} -3.31407 q^{80} +(2.13916 + 9.37228i) q^{81} +(-4.82190 - 2.32211i) q^{82} +(0.335171 - 0.420292i) q^{83} +(-1.97539 + 6.84894i) q^{84} +(10.6520 + 13.3572i) q^{85} +(-1.56100 - 6.83918i) q^{86} +(-6.89327 - 8.64389i) q^{87} +(-10.5628 - 5.08676i) q^{88} +(-10.5227 + 13.1950i) q^{89} +(-0.370400 + 0.178375i) q^{90} +(0.442391 + 2.60850i) q^{91} +(-9.98563 - 4.80883i) q^{92} +(6.40713 - 3.08551i) q^{93} +(-0.355600 + 1.55798i) q^{94} +(-5.47560 + 2.63691i) q^{95} +(-6.52616 - 8.18355i) q^{96} -7.33725 q^{97} +(1.63558 - 4.66515i) q^{98} +1.04626 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) $ 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{6}{7}\right)$

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 $

$2$	−0.440322	−	0.552147i	−0.311355	−	0.390427i	0.601391	−	0.798955i	$-0.294614\pi$
$2$	−0.440322	−	0.552147i	−0.311355	−	0.390427i	−0.912746	+	0.408528i	$0.866042\pi$
$3$	−1.61690	+	0.778657i	−0.933517	+	0.449558i	−0.837878	−	0.545858i	$-0.816204\pi$
$3$	−1.61690	+	0.778657i	−0.933517	+	0.449558i	−0.0956390	+	0.995416i	$0.530489\pi$
$4$	0.334060	−	1.46361i	0.167030	−	0.731805i
$5$	2.37681	−	1.14461i	1.06294	−	0.511886i	0.181116	−	0.983462i	$-0.442029\pi$
$5$	2.37681	−	1.14461i	1.06294	−	0.511886i	0.881825	+	0.471576i	$0.156315\pi$
$6$	1.14189	+	0.549905i	0.466174	+	0.224498i
$7$	2.31524	+	1.28050i	0.875077	+	0.483984i
$7$	2.31524	+	1.28050i	0.875077	+	0.483984i
$8$	−2.22779	+	1.07285i	−0.787643	+	0.379309i
$9$	0.137583	−	0.172524i	0.0458610	−	0.0575079i
$10$	−1.67856	−	0.808350i	−0.530806	−	0.255623i
$11$	2.95619	+	3.70695i	0.891326	+	1.11769i	0.992430	+	0.122812i	$0.0391911\pi$
$11$	2.95619	+	3.70695i	0.891326	+	1.11769i	−0.101104	+	0.994876i	$0.532237\pi$
$12$	0.599511	+	2.62663i	0.173064	+	0.758242i
$13$	0.623490	+	0.781831i	0.172925	+	0.216841i
$13$	0.623490	+	0.781831i	0.172925	+	0.216841i
$14$	−0.312426	−	1.84218i	−0.0834994	−	0.492344i
$15$	−2.95180	+	3.70144i	−0.762151	+	0.955707i
$16$	−1.13185	−	0.545068i	−0.282961	−	0.136267i
$17$	1.44108	+	6.31378i	0.349513	+	1.53132i	0.778289	+	0.627906i	$0.216088\pi$
$17$	1.44108	+	6.31378i	0.349513	+	1.53132i	−0.428776	+	0.903411i	$0.641055\pi$
$18$	−0.155839			−0.0367317
$19$	−2.30376			−0.528519			−0.264259	−	0.964452i	$-0.585127\pi$
$19$	−2.30376			−0.528519			−0.264259	+	0.964452i	$0.585127\pi$
$20$	−0.881269	−	3.86109i	−0.197058	−	0.863367i
$21$	−4.74057	−	0.267664i	−1.03448	−	0.0584090i
$22$	0.745102	−	3.26451i	0.158856	−	0.695995i
$23$	1.64280	−	7.19756i	0.342546	−	1.50079i	−0.451132	−	0.892457i	$-0.648980\pi$
$23$	1.64280	−	7.19756i	0.342546	−	1.50079i	0.793679	−	0.608337i	$-0.208163\pi$
$24$	2.76673	−	3.46937i	0.564756	−	0.708182i
$25$	1.22164	−	1.53189i	0.244328	−	0.306377i
$26$	0.157149	−	0.688516i	0.0308195	−	0.135029i
$27$	1.10990	−	4.86280i	0.213601	−	0.935846i
$28$	2.64758	−	2.96084i	0.500346	−	0.559546i
$29$	1.37086	+	6.00614i	0.254563	+	1.11531i	0.926971	+	0.375133i	$0.122403\pi$
$29$	1.37086	+	6.00614i	0.254563	+	1.11531i	−0.672408	+	0.740181i	$0.734740\pi$
$30$	3.34348			0.610433
$31$	−3.96261			−0.711705			−0.355853	−	0.934542i	$-0.615810\pi$
$31$	−3.96261			−0.711705			−0.355853	+	0.934542i	$0.615810\pi$
$32$	1.29786	+	5.68628i	0.229431	+	1.00520i
$33$	−7.66631	−	3.69190i	−1.33453	−	0.642677i
$34$	2.85159	−	3.57578i	0.489044	−	0.613242i
$35$	6.96855	+	0.393460i	1.17790	+	0.0665070i
$36$	−0.206547	−	0.259001i	−0.0344244	−	0.0431669i
$37$	1.84443	+	8.08099i	0.303223	+	1.32851i	0.865231	+	0.501374i	$0.167172\pi$
$37$	1.84443	+	8.08099i	0.303223	+	1.32851i	−0.562008	+	0.827132i	$0.689971\pi$
$38$	1.01440	+	1.27201i	0.164557	+	0.206348i
$39$	−1.61690	−	0.778657i	−0.258911	−	0.124685i
$40$	−4.06704	+	5.09991i	−0.643055	+	0.806366i
$41$	6.82774	−	3.28807i	1.06631	−	0.513510i	0.183397	−	0.983039i	$-0.441291\pi$
$41$	6.82774	−	3.28807i	1.06631	−	0.513510i	0.882917	+	0.469529i	$0.155576\pi$
$42$	1.93959	+	2.73535i	0.299285	+	0.422073i
$43$	8.94953	+	4.30987i	1.36479	+	0.657248i	0.965699	−	0.259663i	$-0.0836114\pi$
$43$	8.94953	+	4.30987i	1.36479	+	0.657248i	0.399091	+	0.916911i	$0.369326\pi$
$44$	6.41308	−	3.08838i	0.966808	−	0.465590i
$45$	0.129536	−	0.567535i	0.0193101	−	0.0846031i
$46$	−4.69747	+	2.26218i	−0.692604	+	0.333540i
$47$	−1.41084	−	1.76914i	−0.205793	−	0.258056i	0.668215	−	0.743968i	$-0.267059\pi$
$47$	−1.41084	−	1.76914i	−0.205793	−	0.258056i	−0.874007	+	0.485913i	$0.838487\pi$
$48$	2.25450			0.325409
$49$	3.72064	+	5.92932i	0.531520	+	0.847046i
$50$	−1.38374			−0.195691
$51$	−7.24635	−	9.08663i	−1.01469	−	1.27238i
$52$	1.35258	−	0.651368i	0.187569	−	0.0903285i
$53$	2.76595	−	12.1184i	0.379932	−	1.66459i	−0.317742	−	0.948177i	$-0.602925\pi$
$53$	2.76595	−	12.1184i	0.379932	−	1.66459i	0.697674	−	0.716415i	$-0.254218\pi$
$54$	−3.17369	+	1.52837i	−0.431885	+	0.207985i
$55$	11.2693	+	5.42702i	1.51956	+	0.731780i
$56$	−6.53164	−	0.368792i	−0.872827	−	0.0492818i
$57$	3.72494	−	1.79384i	0.493381	−	0.237600i
$58$	2.71265	−	3.40156i	0.356189	−	0.446646i
$59$	−6.41320	−	3.08843i	−0.834927	−	0.402080i	−0.0329666	−	0.999456i	$-0.510496\pi$
$59$	−6.41320	−	3.08843i	−0.834927	−	0.402080i	−0.801961	+	0.597377i	$0.796210\pi$
$60$	4.43139	+	5.55679i	0.572090	+	0.717378i
$61$	−0.312745	−	1.37022i	−0.0400429	−	0.175439i	0.950952	−	0.309338i	$-0.100107\pi$
$61$	−0.312745	−	1.37022i	−0.0400429	−	0.175439i	−0.990995	+	0.133899i	$0.957250\pi$
$62$	1.74482	+	2.18794i	0.221593	+	0.277869i
$63$	0.539454	−	0.223258i	0.0679648	−	0.0281279i
$64$	1.00166	−	1.25605i	0.125208	−	0.157006i
$65$	2.37681	+	1.14461i	0.294807	+	0.141972i
$66$	1.33718	+	5.85855i	0.164595	+	0.721138i
$67$	−2.39670			−0.292804			−0.146402	−	0.989225i	$-0.546769\pi$
$67$	−2.39670			−0.292804			−0.146402	+	0.989225i	$0.546769\pi$
$68$	9.72232			1.17900
$69$	2.94820	+	12.9169i	0.354921	+	1.55501i
$70$	−2.85116	−	4.02091i	−0.340779	−	0.480591i
$71$	3.32061	−	14.5485i	0.394084	−	1.72659i	−0.255950	−	0.966690i	$-0.582388\pi$
$71$	3.32061	−	14.5485i	0.394084	−	1.72659i	0.650034	−	0.759905i	$-0.274755\pi$
$72$	−0.121415	+	0.531952i	−0.0143088	+	0.0626911i
$73$	6.12664	−	7.68256i	0.717069	−	0.899176i	−0.281099	−	0.959679i	$-0.590699\pi$
$73$	6.12664	−	7.68256i	0.717069	−	0.899176i	0.998168	+	0.0605028i	$0.0192704\pi$
$74$	3.64974	−	4.57663i	0.424274	−	0.532023i
$75$	−0.782451	+	3.42814i	−0.0903497	+	0.395848i
$76$	−0.769593	+	3.37181i	−0.0882784	+	0.386773i
$77$	2.09754	+	12.3679i	0.239036	+	1.40945i
$78$	0.282023	+	1.23562i	0.0319329	+	0.139907i
$79$	0.0239945			0.00269960			0.00134980	−	0.999999i	$-0.499570\pi$
$79$	0.0239945			0.00269960			0.00134980	+	0.999999i	$0.499570\pi$
$80$	−3.31407			−0.370524
$81$	2.13916	+	9.37228i	0.237685	+	1.04136i
$82$	−4.82190	−	2.32211i	−0.532490	−	0.256434i
$83$	0.335171	−	0.420292i	0.0367898	−	0.0461330i	−0.763096	−	0.646285i	$-0.776322\pi$
$83$	0.335171	−	0.420292i	0.0367898	−	0.0461330i	0.799886	+	0.600152i	$0.204893\pi$
$84$	−1.97539	+	6.84894i	−0.215533	+	0.747280i
$85$	10.6520	+	13.3572i	1.15537	+	1.44879i
$86$	−1.56100	−	6.83918i	−0.168327	−	0.737488i
$87$	−6.89327	−	8.64389i	−0.739036	−	0.926722i
$88$	−10.5628	−	5.08676i	−1.12600	−	0.542251i
$89$	−10.5227	+	13.1950i	−1.11540	+	1.39867i	−0.208145	+	0.978098i	$0.566743\pi$
$89$	−10.5227	+	13.1950i	−1.11540	+	1.39867i	−0.907258	+	0.420574i	$0.861829\pi$
$90$	−0.370400	+	0.178375i	−0.0390436	+	0.0188024i
$91$	0.442391	+	2.60850i	0.0463751	+	0.273445i
$92$	−9.98563	−	4.80883i	−1.04107	−	0.501355i
$93$	6.40713	−	3.08551i	0.664389	−	0.319953i
$94$	−0.355600	+	1.55798i	−0.0366773	+	0.160694i
$95$	−5.47560	+	2.63691i	−0.561784	+	0.270541i
$96$	−6.52616	−	8.18355i	−0.666074	−	0.835230i
$97$	−7.33725			−0.744985			−0.372493	−	0.928035i	$-0.621497\pi$
$97$	−7.33725			−0.744985			−0.372493	+	0.928035i	$0.621497\pi$
$98$	1.63558	−	4.66515i	0.165218	−	0.471251i
$99$	1.04626			0.105153
$100$	−1.83399	−	2.29975i	−0.183399	−	0.229975i
$101$	−5.20183	+	2.50507i	−0.517602	+	0.249264i	−0.674399	−	0.738367i	$-0.735597\pi$
$101$	−5.20183	+	2.50507i	−0.517602	+	0.249264i	0.156798	+	0.987631i	$0.449883\pi$
$102$	−1.82643	+	8.00209i	−0.180843	+	0.792325i
$103$	−4.18541	+	2.01559i	−0.412400	+	0.198602i	−0.628568	−	0.777755i	$-0.716359\pi$
$103$	−4.18541	+	2.01559i	−0.412400	+	0.198602i	0.216167	+	0.976356i	$0.430644\pi$
$104$	−2.22779	−	1.07285i	−0.218453	−	0.105201i
$105$	−11.5738	+	4.78993i	−1.12949	+	0.467449i
$106$	−7.90905	+	3.80880i	−0.768195	+	0.369943i
$107$	11.2162	−	14.0646i	1.08431	−	1.35968i	0.156047	−	0.987750i	$-0.450125\pi$
$107$	11.2162	−	14.0646i	1.08431	−	1.35968i	0.928261	−	0.371930i	$-0.121304\pi$
$108$	−6.74647	−	3.24893i	−0.649179	−	0.312628i
$109$	−5.74657	−	7.20597i	−0.550422	−	0.690207i	0.426333	−	0.904566i	$-0.359805\pi$
$109$	−5.74657	−	7.20597i	−0.550422	−	0.690207i	−0.976755	+	0.214359i	$0.931234\pi$
$110$	−1.96562	−	8.61196i	−0.187415	−	0.821118i
$111$	−9.27457	−	11.6299i	−0.880304	−	1.10387i
$112$	−1.92253	−	2.71129i	−0.181662	−	0.256193i
$113$	4.98814	−	6.25493i	0.469245	−	0.588415i	−0.489741	−	0.871868i	$-0.662909\pi$
$113$	4.98814	−	6.25493i	0.469245	−	0.588415i	0.958986	+	0.283453i	$0.0914801\pi$
$114$	−2.63064	−	1.26685i	−0.246382	−	0.118651i
$115$	−4.33379	−	18.9876i	−0.404128	−	1.77060i
$116$	9.24861			0.858712
$117$	0.220666			0.0204006
$118$	1.11861	+	4.90093i	0.102976	+	0.451167i
$119$	−4.74836	+	16.4632i	−0.435281	+	1.50918i
$120$	2.60491	−	11.4129i	0.237795	−	1.04185i
$121$	−2.55467	+	11.1927i	−0.232242	+	1.01752i
$122$	−0.618856	+	0.776021i	−0.0560286	+	0.0702576i
$123$	−8.47949	+	10.6329i	−0.764569	+	0.958740i
$124$	−1.32375	+	5.79972i	−0.118876	+	0.520830i
$125$	−1.78493	+	7.82028i	−0.159649	+	0.699467i
$126$	−0.360805	−	0.199552i	−0.0321430	−	0.0177775i
$127$	1.87095	+	8.19719i	0.166020	+	0.727383i	0.987561	+	0.157233i	$0.0502575\pi$
$127$	1.87095	+	8.19719i	0.166020	+	0.727383i	−0.821541	+	0.570149i	$0.806885\pi$
$128$	10.5305			0.930769
$129$	−17.8264			−1.56953
$130$	−0.414569	−	1.81635i	−0.0363601	−	0.159304i
$131$	−9.02871	−	4.34800i	−0.788842	−	0.379886i	−0.00432290	−	0.999991i	$-0.501376\pi$
$131$	−9.02871	−	4.34800i	−0.788842	−	0.379886i	−0.784519	+	0.620104i	$0.787090\pi$
$132$	−7.96451	+	9.98718i	−0.693222	+	0.869272i
$133$	−5.33375	−	2.94996i	−0.462494	−	0.255794i
$134$	1.05532	+	1.32333i	0.0911659	+	0.114318i
$135$	−2.92799	−	12.8283i	−0.252001	−	1.10409i
$136$	−9.98414	−	12.5197i	−0.856133	−	1.07356i
$137$	3.83501	+	1.84684i	0.327647	+	0.157787i	0.590474	−	0.807056i	$-0.298941\pi$
$137$	3.83501	+	1.84684i	0.327647	+	0.157787i	−0.262827	+	0.964843i	$0.584655\pi$
$138$	5.83386	−	7.31543i	0.496611	−	0.622731i
$139$	2.61039	−	1.25710i	0.221410	−	0.106626i	−0.319891	−	0.947454i	$-0.603646\pi$
$139$	2.61039	−	1.25710i	0.221410	−	0.106626i	0.541301	+	0.840829i	$0.317932\pi$
$140$	2.90378	−	10.0678i	0.245415	−	0.850885i
$141$	3.65874	+	1.76196i	0.308122	+	0.148384i
$142$	−9.49507	+	4.57259i	−0.796809	+	0.383723i
$143$	−1.05505	+	4.62249i	−0.0882280	+	0.386552i
$144$	−0.249760	+	0.120278i	−0.0208133	+	0.0100232i
$145$	10.1330	+	12.7064i	0.841498	+	1.05521i
$146$	−6.93960			−0.574325
$147$	−10.6328	−	6.69001i	−0.876979	−	0.551783i
$148$	12.4436			1.02286
$149$	−2.11621	−	2.65364i	−0.173366	−	0.217394i	0.687555	−	0.726132i	$-0.258684\pi$
$149$	−2.11621	−	2.65364i	−0.173366	−	0.217394i	−0.860922	+	0.508737i	$0.830112\pi$
$150$	2.23737	−	1.07746i	0.182680	−	0.0879742i
$151$	−2.02810	+	8.88567i	−0.165044	+	0.723106i	0.822886	+	0.568206i	$0.192362\pi$
$151$	−2.02810	+	8.88567i	−0.165044	+	0.723106i	−0.987930	+	0.154899i	$0.950495\pi$
$152$	5.13229	−	2.47158i	0.416284	−	0.200472i
$153$	1.28754	+	0.620049i	0.104092	+	0.0501280i
$154$	5.90529	−	6.60400i	0.475862	−	0.532165i
$155$	−9.41836	+	4.53564i	−0.756501	+	0.364312i
$156$	−1.67979	+	2.10639i	−0.134491	+	0.168646i
$157$	−5.61952	−	2.70622i	−0.448486	−	0.215980i	0.195987	−	0.980607i	$-0.437209\pi$
$157$	−5.61952	−	2.70622i	−0.448486	−	0.215980i	−0.644473	+	0.764627i	$0.722923\pi$
$158$	−0.0105653	−	0.0132485i	−0.000840533	−	0.00105399i
$159$	4.96383	+	21.7480i	0.393657	+	1.72473i
$160$	9.59334	+	12.0297i	0.758420	+	0.951029i
$161$	13.0199	−	14.5604i	1.02611	−	1.14752i
$162$	4.23295	−	5.30795i	0.332572	−	0.417032i
$163$	0.597554	+	0.287767i	0.0468041	+	0.0225397i	0.457139	−	0.889395i	$-0.348874\pi$
$163$	0.597554	+	0.287767i	0.0468041	+	0.0225397i	−0.410335	+	0.911935i	$0.634588\pi$
$164$	−2.53158	−	11.0916i	−0.197683	−	0.866106i
$165$	−22.4471			−1.74751
$166$	−0.379646			−0.0294662
$167$	0.480746	+	2.10629i	0.0372013	+	0.162989i	0.990116	−	0.140247i	$-0.0447898\pi$
$167$	0.480746	+	2.10629i	0.0372013	+	0.162989i	−0.952915	+	0.303237i	$0.901933\pi$
$168$	10.8482	−	4.48961i	0.836954	−	0.346381i
$169$	−0.222521	+	0.974928i	−0.0171170	+	0.0749945i
$170$	2.68481	−	11.7629i	0.205916	−	0.902175i
$171$	−0.316958	+	0.397453i	−0.0242384	+	0.0303940i
$172$	9.29764	−	11.6589i	0.708939	−	0.888981i
$173$	1.37436	−	6.02146i	0.104490	−	0.457803i	−0.895430	−	0.445202i	$-0.853132\pi$
$173$	1.37436	−	6.02146i	0.104490	−	0.457803i	0.999921	−	0.0126007i	$-0.00401102\pi$
$174$	−1.73743	+	7.61220i	−0.131715	+	0.577079i
$175$	4.78997	−	1.98237i	0.362087	−	0.149853i
$176$	−1.32541	−	5.80702i	−0.0999069	−	0.437721i
$177$	12.7743			0.960177
$178$	11.9190			0.893365
$179$	−4.93777	−	21.6338i	−0.369067	−	1.61699i	−0.729348	−	0.684143i	$-0.760177\pi$
$179$	−4.93777	−	21.6338i	−0.369067	−	1.61699i	0.360282	−	0.932844i	$-0.382681\pi$
$180$	−0.787378	−	0.379181i	−0.0586877	−	0.0282625i
$181$	−10.8736	+	13.6350i	−0.808225	+	1.01348i	0.191265	+	0.981538i	$0.438741\pi$
$181$	−10.8736	+	13.6350i	−0.808225	+	1.01348i	−0.999490	+	0.0319434i	$0.989830\pi$
$182$	1.24548	−	1.39285i	0.0923213	−	0.103245i
$183$	1.57261	+	1.97199i	0.116251	+	0.145774i
$184$	4.06207	+	17.7971i	0.299460	+	1.31202i
$185$	13.6334	+	17.0958i	1.00235	+	1.25691i
$186$	−4.52486	−	2.17906i	−0.331779	−	0.159776i
$187$	−19.1448	+	24.0068i	−1.40000	+	1.75555i
$188$	−3.06064	+	1.47393i	−0.223220	+	0.107497i
$189$	8.79650	−	9.83729i	0.639851	−	0.715558i
$190$	3.86699	+	1.86224i	0.280541	+	0.135101i
$191$	−14.9883	+	7.21799i	−1.08452	+	0.522275i	−0.888758	−	0.458377i	$-0.848431\pi$
$191$	−14.9883	+	7.21799i	−1.08452	+	0.522275i	−0.195758	+	0.980652i	$0.562717\pi$
$192$	−0.641558	+	2.81085i	−0.0463005	+	0.202856i
$193$	0.896308	−	0.431639i	0.0645176	−	0.0310701i	−0.401347	−	0.915926i	$-0.631458\pi$
$193$	0.896308	−	0.431639i	0.0645176	−	0.0310701i	0.465864	+	0.884856i	$0.345743\pi$
$194$	3.23076	+	4.05124i	0.231955	+	0.290862i
$195$	−4.73432			−0.339032
$196$	9.92114	−	3.46482i	0.708653	−	0.247487i
$197$	21.8270			1.55511			0.777555	−	0.628815i	$-0.216460\pi$
$197$	21.8270			1.55511			0.777555	+	0.628815i	$0.216460\pi$
$198$	−0.460691	−	0.577688i	−0.0327399	−	0.0410545i
$199$	−6.03350	+	2.90558i	−0.427704	+	0.205971i	−0.635336	−	0.772236i	$-0.719138\pi$
$199$	−6.03350	+	2.90558i	−0.427704	+	0.205971i	0.207633	+	0.978207i	$0.433424\pi$
$200$	−1.07807	+	4.72335i	−0.0762314	+	0.333992i
$201$	3.87522	−	1.86621i	0.273337	−	0.131632i
$202$	3.67365	+	1.76914i	0.258477	+	0.124476i
$203$	−4.51700	+	15.6610i	−0.317031	+	1.09919i
$204$	−15.7200	+	7.57036i	−1.10062	+	0.530031i
$205$	12.4647	−	15.6302i	0.870571	−	1.09166i
$206$	2.95583	+	1.42345i	0.205942	+	0.0991765i
$207$	−1.01573	−	1.27368i	−0.0705980	−	0.0885271i
$208$	−0.279543	−	1.22476i	−0.0193828	−	0.0849216i
$209$	−6.81036	−	8.53992i	−0.471082	−	0.590719i
$210$	7.74095	+	4.28133i	0.534176	+	0.295440i
$211$	−9.69241	+	12.1539i	−0.667253	+	0.836709i	−0.994111	−	0.108365i	$-0.965439\pi$
$211$	−9.69241	+	12.1539i	−0.667253	+	0.836709i	0.326858	+	0.945073i	$0.394010\pi$
$212$	−16.8127	−	8.09655i	−1.15470	−	0.556073i
$213$	5.95924	+	26.1091i	0.408320	+	1.78897i
$214$	−12.7045			−0.868460
$215$	26.2044			1.78713
$216$	2.74441	+	12.0240i	0.186733	+	0.818133i
$217$	−9.17437	−	5.07412i	−0.622797	−	0.344454i
$218$	−1.44841	+	6.34590i	−0.0980987	+	0.429798i
$219$	−3.92407	+	17.1925i	−0.265164	+	1.16176i
$220$	11.7077	−	14.6810i	0.789331	−	0.989790i
$221$	−4.03781	+	5.06326i	−0.271613	+	0.340592i
$222$	−2.33764	+	10.2419i	−0.156892	+	0.687388i
$223$	3.17884	−	13.9274i	0.212871	−	0.932649i	−0.749734	−	0.661740i	$-0.769818\pi$
$223$	3.17884	−	13.9274i	0.212871	−	0.932649i	0.962605	−	0.270910i	$-0.0873245\pi$
$224$	−4.27644	+	14.8270i	−0.285732	+	0.990670i
$225$	−0.0962100	−	0.421523i	−0.00641400	−	0.0281016i
$226$	−5.65003			−0.375835
$227$	−17.3099			−1.14890			−0.574448	−	0.818541i	$-0.694783\pi$
$227$	−17.3099			−1.14890			−0.574448	+	0.818541i	$0.694783\pi$
$228$	−1.38113	−	6.05112i	−0.0914674	−	0.400745i
$229$	7.49279	+	3.60834i	0.495138	+	0.238446i	0.664751	−	0.747065i	$-0.268538\pi$
$229$	7.49279	+	3.60834i	0.495138	+	0.238446i	−0.169613	+	0.985511i	$0.554252\pi$
$230$	−8.57566	+	10.7535i	−0.565463	+	0.709068i
$231$	−13.0218	−	18.3643i	−0.856774	−	1.20828i
$232$	−9.49767	−	11.9097i	−0.623553	−	0.781910i
$233$	−4.83704	−	21.1924i	−0.316885	−	1.38836i	−0.842983	−	0.537940i	$-0.819203\pi$
$233$	−4.83704	−	21.1924i	−0.316885	−	1.38836i	0.526098	−	0.850424i	$-0.323654\pi$
$234$	−0.0971642	−	0.121840i	−0.00635182	−	0.00796493i
$235$	−5.37828	−	2.59004i	−0.350840	−	0.168956i
$236$	−6.66266	+	8.35471i	−0.433702	+	0.543845i
$237$	−0.0387967	+	0.0186835i	−0.00252012	+	0.00121363i
$238$	11.1809	−	4.62732i	0.724750	−	0.299945i
$239$	17.7463	+	8.54617i	1.14791	+	0.552806i	0.908406	−	0.418089i	$-0.137300\pi$
$239$	17.7463	+	8.54617i	1.14791	+	0.552806i	0.239507	+	0.970895i	$0.423014\pi$
$240$	5.35852	−	2.58053i	0.345891	−	0.166572i
$241$	−5.55618	+	24.3432i	−0.357905	+	1.56808i	0.400498	+	0.916298i	$0.368837\pi$
$241$	−5.55618	+	24.3432i	−0.357905	+	1.56808i	−0.758403	+	0.651786i	$0.774020\pi$
$242$	7.30490	−	3.51786i	0.469577	−	0.226136i
$243$	−1.42697	−	1.78937i	−0.0915403	−	0.114788i
$244$	−2.10995			−0.135076
$245$	15.6300	+	9.83419i	0.998565	+	0.628283i
$246$	9.60465			0.612370
$247$	−1.43637	−	1.80115i	−0.0913941	−	0.114605i
$248$	8.82786	−	4.25127i	0.560570	−	0.269956i
$249$	−0.214675	+	0.940552i	−0.0136045	+	0.0596051i
$250$	5.10389	−	2.45790i	0.322798	−	0.155451i
$251$	−2.66864	−	1.28515i	−0.168443	−	0.0811180i	0.347762	−	0.937583i	$-0.386942\pi$
$251$	−2.66864	−	1.28515i	−0.168443	−	0.0811180i	−0.516205	+	0.856465i	$0.672656\pi$
$252$	−0.146553	−	0.864132i	−0.00923197	−	0.0544352i
$253$	31.5374	−	15.1876i	1.98274	−	0.954837i
$254$	3.70223	−	4.64244i	0.232298	−	0.291293i
$255$	−27.6238	−	13.3029i	−1.72987	−	0.833063i
$256$	−6.64012	−	8.32645i	−0.415007	−	0.520403i
$257$	4.42607	+	19.3919i	0.276091	+	1.20963i	0.902690	+	0.430291i	$0.141589\pi$
$257$	4.42607	+	19.3919i	0.276091	+	1.20963i	−0.626599	+	0.779342i	$0.715554\pi$
$258$	7.84935	+	9.84278i	0.488679	+	0.612785i
$259$	−6.07741	+	21.0712i	−0.377632	+	1.30930i
$260$	2.46926	−	3.09636i	0.153137	−	0.192028i
$261$	1.22481	+	0.589837i	0.0758138	+	0.0365100i
$262$	1.57481	+	6.89969i	0.0972921	+	0.426265i
$263$	3.19209			0.196833			0.0984163	−	0.995145i	$-0.468622\pi$
$263$	3.19209			0.196833			0.0984163	+	0.995145i	$0.468622\pi$
$264$	21.0398			1.29491
$265$	−7.29674	−	31.9691i	−0.448235	−	1.96385i
$266$	0.719754	+	4.24395i	0.0441310	+	0.260213i
$267$	6.73971	−	29.5286i	0.412464	−	1.80712i
$268$	−0.800642	+	3.50784i	−0.0489070	+	0.214276i
$269$	16.8781	−	21.1645i	1.02908	−	1.29042i	0.0729907	−	0.997333i	$-0.476746\pi$
$269$	16.8781	−	21.1645i	1.02908	−	1.29042i	0.956085	−	0.293088i	$-0.0946829\pi$
$270$	−5.79387	+	7.26528i	−0.352604	+	0.442151i
$271$	2.16937	−	9.50461i	0.131780	−	0.577364i	−0.865318	−	0.501224i	$-0.832883\pi$
$271$	2.16937	−	9.50461i	0.131780	−	0.577364i	0.997097	−	0.0761399i	$-0.0242596\pi$
$272$	1.81036	−	7.93171i	0.109769	−	0.480931i
$273$	−2.74643	−	3.87321i	−0.166222	−	0.234418i
$274$	−0.668912	−	2.93070i	−0.0404105	−	0.177050i
$275$	9.29003			0.560210
$276$	19.8902			1.19725
$277$	0.658143	+	2.88351i	0.0395440	+	0.173254i	0.990844	−	0.135014i	$-0.0431079\pi$
$277$	0.658143	+	2.88351i	0.0395440	+	0.173254i	−0.951300	+	0.308268i	$0.900251\pi$
$278$	−1.84351	−	0.887789i	−0.110567	−	0.0532460i
$279$	−0.545188	+	0.683644i	−0.0326395	+	0.0409287i
$280$	−15.9466	+	6.59964i	−0.952991	+	0.394404i
$281$	9.76214	+	12.2413i	0.582361	+	0.730257i	0.982514	−	0.186191i	$-0.0596144\pi$
$281$	9.76214	+	12.2413i	0.582361	+	0.730257i	−0.400153	+	0.916448i	$0.631043\pi$
$282$	−0.638167	−	2.79599i	−0.0380023	−	0.166499i
$283$	−5.75783	−	7.22008i	−0.342267	−	0.429189i	0.580671	−	0.814139i	$-0.302790\pi$
$283$	−5.75783	−	7.22008i	−0.342267	−	0.429189i	−0.922938	+	0.384949i	$0.874219\pi$
$284$	−20.1841	−	9.72017i	−1.19771	−	0.576786i
$285$	6.80023	−	8.52722i	0.402811	−	0.505109i
$286$	3.01686	−	1.45284i	0.178390	−	0.0859083i
$287$	20.0182	+	1.13027i	1.18164	+	0.0667180i
$288$	1.15958	+	0.558425i	0.0683290	+	0.0329055i
$289$	−22.4706	+	10.8213i	−1.32180	+	0.636546i
$290$	2.55399	−	11.1898i	0.149976	−	0.657087i
$291$	11.8636	−	5.71320i	0.695456	−	0.334914i
$292$	−9.19762	−	11.5335i	−0.538250	−	0.674944i
$293$	−7.49605			−0.437924			−0.218962	−	0.975733i	$-0.570267\pi$
$293$	−7.49605			−0.437924			−0.218962	+	0.975733i	$0.570267\pi$
$294$	0.987993	+	8.81662i	0.0576209	+	0.514196i
$295$	−18.7780			−1.09330
$296$	−12.7787	−	16.0239i	−0.742745	−	0.931373i
$297$	21.3072	−	10.2610i	1.23637	−	0.595405i
$298$	−0.533385	+	2.33691i	−0.0308981	+	0.135374i
$299$	6.65154	−	3.20321i	0.384669	−	0.185247i
$300$	4.75608	+	2.29041i	0.274593	+	0.132237i
$301$	15.2015	+	21.4382i	0.876199	+	1.23568i
$302$	5.79921	−	2.79275i	0.333707	−	0.160705i
$303$	6.46024	−	8.10089i	0.371131	−	0.465384i
$304$	2.60750	+	1.25571i	0.149550	+	0.0720196i
$305$	−2.31171	−	2.89879i	−0.132368	−	0.165984i
$306$	−0.224577	−	0.983935i	−0.0128382	−	0.0562478i
$307$	−16.0565	−	20.1342i	−0.916393	−	1.14912i	−0.988424	−	0.151718i	$-0.951519\pi$
$307$	−16.0565	−	20.1342i	−0.916393	−	1.14912i	0.0720310	−	0.997402i	$-0.477052\pi$
$308$	18.8025	+	1.06163i	1.07137	+	0.0604920i
$309$	5.19793	−	6.51799i	0.295700	−	0.370796i
$310$	6.65146	+	3.20317i	0.377777	+	0.181928i
$311$	−4.31168	−	18.8907i	−0.244493	−	1.07119i	−0.936876	−	0.349662i	$-0.886296\pi$
$311$	−4.31168	−	18.8907i	−0.244493	−	1.07119i	0.692383	−	0.721530i	$-0.256561\pi$
$312$	4.43749			0.251223
$313$	−22.5470			−1.27443			−0.637217	−	0.770684i	$-0.719915\pi$
$313$	−22.5470			−1.27443			−0.637217	+	0.770684i	$0.719915\pi$
$314$	0.980170	+	4.29441i	0.0553142	+	0.242347i
$315$	1.02664	−	1.14811i	0.0578444	−	0.0646885i
$316$	0.00801561	−	0.0351187i	0.000450913	−	0.00197558i
$317$	2.77865	−	12.1740i	0.156064	−	0.683763i	−0.834986	−	0.550272i	$-0.814524\pi$
$317$	2.77865	−	12.1740i	0.156064	−	0.683763i	0.991050	−	0.133491i	$-0.0426187\pi$
$318$	9.82238	−	12.3169i	0.550812	−	0.690696i
$319$	−18.2119	+	22.8371i	−1.01967	+	1.27863i
$320$	0.943078	−	4.13190i	0.0527197	−	0.230980i
$321$	−7.18388	+	31.4746i	−0.400965	+	1.75674i
$322$	−13.7725	−	0.777625i	−0.767510	−	0.0433354i
$323$	−3.31990	−	14.5454i	−0.184724	−	0.809329i
$324$	14.4320			0.801777
$325$	1.95936			0.108686
$326$	−0.104227	−	0.456648i	−0.00577259	−	0.0252914i
$327$	14.9026	+	7.17671i	0.824116	+	0.396873i
$328$	−11.6832	+	14.6502i	−0.645096	+	0.808924i
$329$	−1.00105	−	5.90256i	−0.0551896	−	0.325419i
$330$	9.88398	+	12.3941i	0.544095	+	0.682274i
$331$	4.98081	+	21.8224i	0.273770	+	1.19946i	0.905524	+	0.424296i	$0.139478\pi$
$331$	4.98081	+	21.8224i	0.273770	+	1.19946i	−0.631754	+	0.775169i	$0.717665\pi$
$332$	−0.503176	−	0.630963i	−0.0276154	−	0.0346286i
$333$	1.64792	+	0.793598i	0.0903057	+	0.0434889i
$334$	0.951296	−	1.19289i	0.0520526	−	0.0652719i
$335$	−5.69651	+	2.74329i	−0.311233	+	0.149882i
$336$	5.21970	+	2.88689i	0.284758	+	0.157493i
$337$	−7.99933	−	3.85227i	−0.435751	−	0.209847i	0.203131	−	0.979152i	$-0.434888\pi$
$337$	−7.99933	−	3.85227i	−0.435751	−	0.209847i	−0.638882	+	0.769305i	$0.720603\pi$
$338$	0.636284	−	0.306418i	0.0346093	−	0.0166670i
$339$	−3.19487	+	13.9976i	−0.173522	+	0.760248i
$340$	23.1081	−	11.1283i	1.25321	−	0.603516i
$341$	−11.7142	−	14.6892i	−0.634362	−	0.795464i
$342$	0.359016			0.0194134
$343$	1.02166	+	18.4921i	0.0551642	+	0.998477i
$344$	−24.5615			−1.32427
$345$	21.7921	+	27.3264i	1.17325	+	1.47121i
$346$	−3.92989	+	1.89253i	−0.211272	+	0.101743i
$347$	−3.70428	+	16.2295i	−0.198856	+	0.871247i	0.772763	+	0.634695i	$0.218874\pi$
$347$	−3.70428	+	16.2295i	−0.198856	+	0.871247i	−0.971619	+	0.236551i	$0.923983\pi$
$348$	−14.9541	+	7.20149i	−0.801622	+	0.386041i
$349$	29.9643	+	14.4300i	1.60395	+	0.772423i	0.999703	−	0.0243725i	$-0.00775878\pi$
$349$	29.9643	+	14.4300i	1.60395	+	0.772423i	0.604249	+	0.796795i	$0.293473\pi$
$350$	−3.20369	−	1.77188i	−0.171244	−	0.0947110i
$351$	4.49390	−	2.16415i	0.239867	−	0.115514i
$352$	−17.2420	+	21.6208i	−0.919004	+	1.15239i
$353$	3.15180	+	1.51783i	0.167753	+	0.0807857i	0.515876	−	0.856663i	$-0.327467\pi$
$353$	3.15180	+	1.51783i	0.167753	+	0.0807857i	−0.348123	+	0.937449i	$0.613181\pi$
$354$	−5.62482	−	7.05330i	−0.298956	−	0.374879i
$355$	−8.75997	−	38.3799i	−0.464931	−	2.03700i
$356$	15.7972	+	19.8091i	0.837250	+	1.04988i
$357$	−5.14157	−	30.3166i	−0.272121	−	1.60453i
$358$	−9.77082	+	12.2522i	−0.516404	+	0.647550i
$359$	−19.4413	−	9.36245i	−1.02607	−	0.494131i	−0.156367	−	0.987699i	$-0.549978\pi$
$359$	−19.4413	−	9.36245i	−1.02607	−	0.494131i	−0.869707	+	0.493568i	$0.835693\pi$
$360$	0.320299	+	1.40332i	0.0168812	+	0.0739615i
$361$	−13.6927			−0.720668
$362$	12.3164			0.647335
$363$	−4.58466	−	20.0867i	−0.240632	−	1.05428i
$364$	3.96562	+	0.223908i	0.207855	+	0.0117360i
$365$	5.76831	−	25.2726i	0.301927	−	1.32283i
$366$	0.396373	−	1.73662i	0.0207187	−	0.0907748i
$367$	−0.0788135	+	0.0988290i	−0.00411403	+	0.00515883i	−0.783884	−	0.620907i	$-0.786764\pi$
$367$	−0.0788135	+	0.0988290i	−0.00411403	+	0.00515883i	0.779770	+	0.626066i	$0.215336\pi$
$368$	−5.78255	+	7.25109i	−0.301436	+	0.377989i
$369$	0.372112	−	1.63033i	0.0193714	−	0.0848716i
$370$	3.43628	−	15.0553i	0.178644	−	0.782689i
$371$	21.9215	−	24.5152i	1.13811	−	1.27277i
$372$	−2.37563	−	10.4083i	−0.123170	−	0.539645i
$373$	12.2737			0.635509			0.317754	−	0.948173i	$-0.397071\pi$
$373$	12.2737			0.635509			0.317754	+	0.948173i	$0.397071\pi$
$374$	21.6851			1.12131
$375$	−3.20327	−	14.0344i	−0.165416	−	0.724736i
$376$	5.04108	+	2.42766i	0.259974	+	0.125197i
$377$	−3.84107	+	4.81655i	−0.197825	+	0.248065i
$378$	−9.30492	−	0.525377i	−0.478594	−	0.0270225i
$379$	5.24487	+	6.57685i	0.269411	+	0.337830i	0.898072	−	0.439849i	$-0.144968\pi$
$379$	5.24487	+	6.57685i	0.269411	+	0.337830i	−0.628661	+	0.777679i	$0.716397\pi$
$380$	2.03023	+	8.89503i	0.104149	+	0.456305i
$381$	−9.40794	−	11.7972i	−0.481983	−	0.604388i
$382$	10.5851	+	5.09750i	0.541579	+	0.260811i
$383$	−6.12857	+	7.68498i	−0.313155	+	0.392684i	−0.913354	−	0.407167i	$-0.866517\pi$
$383$	−6.12857	+	7.68498i	−0.313155	+	0.392684i	0.600199	+	0.799851i	$0.295088\pi$
$384$	−17.0267	+	8.19961i	−0.868889	+	0.418435i
$385$	19.1419	+	26.9952i	0.975559	+	1.37580i
$386$	−0.632992	−	0.304833i	−0.0322185	−	0.0155156i
$387$	1.97486	−	0.951041i	0.100388	−	0.0483441i
$388$	−2.45108	+	10.7389i	−0.124435	+	0.545184i
$389$	16.9323	−	8.15417i	0.858502	−	0.413433i	0.0477759	−	0.998858i	$-0.484787\pi$
$389$	16.9323	−	8.15417i	0.858502	−	0.413433i	0.810726	+	0.585425i	$0.199072\pi$
$390$	2.08463	+	2.61404i	0.105559	+	0.132367i
$391$	47.8112			2.41792
$392$	−14.6501	−	9.21761i	−0.739939	−	0.465560i
$393$	17.9841			0.907178
$394$	−9.61092	−	12.0517i	−0.484191	−	0.607156i
$395$	0.0570305	−	0.0274644i	0.00286951	−	0.00138189i
$396$	0.349513	−	1.53132i	0.0175637	−	0.0769515i
$397$	21.7395	−	10.4692i	1.09107	−	0.525434i	0.200233	−	0.979748i	$-0.435830\pi$
$397$	21.7395	−	10.4692i	1.09107	−	0.525434i	0.890841	+	0.454314i	$0.150116\pi$
$398$	4.26099	+	2.05199i	0.213584	+	0.102857i
$399$	10.9211	+	0.616633i	0.546741	+	0.0308702i
$400$	−2.21769	+	1.06798i	−0.110884	+	0.0533992i
$401$	−3.03867	+	3.81037i	−0.151744	+	0.190281i	−0.851893	−	0.523716i	$-0.824545\pi$
$401$	−3.03867	+	3.81037i	−0.151744	+	0.190281i	0.700149	+	0.713997i	$0.253117\pi$
$402$	−2.73677	−	1.31796i	−0.136498	−	0.0657338i
$403$	−2.47065	−	3.09809i	−0.123072	−	0.154327i
$404$	1.92873	+	8.45030i	0.0959577	+	0.420418i
$405$	15.8120	+	19.8276i	0.785704	+	0.985242i
$406$	10.6361	−	4.40186i	0.527862	−	0.218460i
$407$	−24.5033	+	30.7262i	−1.21458	+	1.52304i
$408$	25.8919	+	12.4689i	1.28184	+	0.617302i
$409$	−2.97369	−	13.0286i	−0.147040	−	0.644223i	−0.993698	−	0.112087i	$-0.964247\pi$
$409$	−2.97369	−	13.0286i	−0.147040	−	0.644223i	0.846659	−	0.532136i	$-0.178611\pi$
$410$	−14.1186			−0.697270
$411$	−7.63888			−0.376798
$412$	1.55186	+	6.79913i	0.0764545	+	0.334969i
$413$	−10.8933	−	15.3626i	−0.536026	−	0.755942i
$414$	−0.256012	+	1.12166i	−0.0125823	+	0.0551267i
$415$	0.315568	−	1.38259i	0.0154906	−	0.0678689i
$416$	−3.63651	+	4.56004i	−0.178295	+	0.223575i
$417$	−3.24188	+	4.06519i	−0.158756	+	0.199073i
$418$	−1.71654	+	7.52063i	−0.0839585	+	0.367846i
$419$	7.44589	−	32.6226i	0.363756	−	1.59372i	−0.379816	−	0.925062i	$-0.624013\pi$
$419$	7.44589	−	32.6226i	0.363756	−	1.59372i	0.743572	−	0.668656i	$-0.233130\pi$
$420$	3.14425	+	18.5397i	0.153423	+	0.904643i
$421$	−6.04962	−	26.5051i	−0.294840	−	1.29178i	−0.877701	−	0.479208i	$-0.840924\pi$
$421$	−6.04962	−	26.5051i	−0.294840	−	1.29178i	0.582861	−	0.812572i	$-0.301933\pi$
$422$	10.9785			0.534426
$423$	−0.499327			−0.0242781
$424$	6.83925	+	29.9647i	0.332143	+	1.45522i
$425$	11.4325	+	5.50559i	0.554557	+	0.267060i
$426$	11.7921	−	14.7868i	0.571328	−	0.716423i
$427$	1.03049	−	3.57286i	0.0498691	−	0.172903i
$428$	−16.8383	−	21.1145i	−0.813909	−	1.02061i
$429$	−1.89342	−	8.29562i	−0.0914153	−	0.400516i
$430$	−11.5384	−	14.4687i	−0.556431	−	0.697743i
$431$	−14.2114	−	6.84383i	−0.684537	−	0.329655i	0.0590880	−	0.998253i	$-0.481181\pi$
$431$	−14.2114	−	6.84383i	−0.684537	−	0.329655i	−0.743625	+	0.668597i	$0.766895\pi$
$432$	−3.90679	+	4.89896i	−0.187966	+	0.235701i
$433$	6.45330	−	3.10774i	0.310126	−	0.149349i	−0.272347	−	0.962199i	$-0.587800\pi$
$433$	6.45330	−	3.10774i	0.310126	−	0.149349i	0.582472	+	0.812851i	$0.302085\pi$
$434$	1.23802	+	7.29985i	0.0594269	+	0.350404i
$435$	−26.2779	−	12.6548i	−1.25993	−	0.606750i
$436$	−12.4664	+	6.00352i	−0.597034	+	0.287516i
$437$	−3.78460	+	16.5814i	−0.181042	+	0.793198i
$438$	11.2206	−	5.40357i	0.536142	−	0.258192i
$439$	−6.74529	−	8.45833i	−0.321935	−	0.403694i	0.594359	−	0.804200i	$-0.297406\pi$
$439$	−6.74529	−	8.45833i	−0.321935	−	0.403694i	−0.916294	+	0.400506i	$0.868834\pi$
$440$	−30.9281			−1.47444
$441$	1.53484	+	0.173876i	0.0730879	+	0.00827981i
$442$	4.57360			0.217544
$443$	23.4779	+	29.4403i	1.11547	+	1.39875i	0.907210	+	0.420678i	$0.138208\pi$
$443$	23.4779	+	29.4403i	1.11547	+	1.39875i	0.208258	+	0.978074i	$0.433221\pi$
$444$	−20.1200	+	9.68927i	−0.954852	+	0.459833i
$445$	−9.90725	+	43.4065i	−0.469649	+	2.05767i
$446$	−9.08970	+	4.37737i	−0.430410	+	0.207274i
$447$	5.48796	+	2.64286i	0.259572	+	0.125003i
$448$	3.92745	−	1.62541i	0.185555	−	0.0767935i
$449$	3.63130	−	1.74874i	0.171371	−	0.0825282i	−0.346231	−	0.938149i	$-0.612539\pi$
$449$	3.63130	−	1.74874i	0.171371	−	0.0825282i	0.517603	+	0.855621i	$0.326824\pi$
$450$	−0.190379	+	0.238728i	−0.00897457	+	0.0112538i
$451$	32.3728	+	15.5899i	1.52438	+	0.734101i
$452$	−7.48845	−	9.39022i	−0.352227	−	0.441679i
$453$	−3.63967	−	15.9464i	−0.171006	−	0.749228i
$454$	7.62192	+	9.55759i	0.357715	+	0.448560i
$455$	4.03720	+	5.69355i	0.189267	+	0.266918i
$456$	−6.37388	+	7.99259i	−0.298484	+	0.374287i
$457$	−32.1182	−	15.4673i	−1.50243	−	0.723530i	−0.511669	−	0.859183i	$-0.670973\pi$
$457$	−32.1182	−	15.4673i	−1.50243	−	0.723530i	−0.990756	+	0.135653i	$0.956687\pi$
$458$	−1.30691	−	5.72595i	−0.0610680	−	0.267556i
$459$	32.3021			1.50773
$460$	−29.2382			−1.36324
$461$	−3.91798	−	17.1658i	−0.182478	−	0.799490i	−0.980446	−	0.196790i	$-0.936948\pi$
$461$	−3.91798	−	17.1658i	−0.182478	−	0.799490i	0.797967	−	0.602701i	$-0.205909\pi$
$462$	−4.40600	+	15.2762i	−0.204986	+	0.710712i
$463$	−2.26668	+	9.93099i	−0.105342	+	0.461532i	0.894552	+	0.446964i	$0.147495\pi$
$463$	−2.26668	+	9.93099i	−0.105342	+	0.461532i	−0.999894	+	0.0145686i	$0.995362\pi$
$464$	1.72215	−	7.54524i	0.0799489	−	0.350279i
$465$	11.6968	−	14.6674i	0.542427	−	0.680182i
$466$	−9.57148	+	12.0023i	−0.443390	+	0.555994i
$467$	4.93245	−	21.6105i	0.228246	−	1.00001i	−0.722822	−	0.691034i	$-0.757156\pi$
$467$	4.93245	−	21.6105i	0.228246	−	1.00001i	0.951069	−	0.308979i	$-0.0999873\pi$
$468$	0.0737156	−	0.322969i	0.00340751	−	0.0149293i
$469$	−5.54893	−	3.06898i	−0.256226	−	0.141712i
$470$	0.938093	+	4.11005i	0.0432710	+	0.189583i
$471$	11.1934			0.515765
$472$	17.6007			0.810137
$473$	10.4801	+	45.9163i	0.481875	+	2.11123i
$474$	0.0273991	+	0.0131947i	0.00125848	+	0.000606053i
$475$	−2.81436	+	3.52910i	−0.129132	+	0.161926i
$476$	22.5095	+	12.4494i	1.03172	+	0.570619i
$477$	−1.71017	−	2.14448i	−0.0783031	−	0.0981890i
$478$	−3.09535	−	13.5616i	−0.141578	−	0.620295i
$479$	12.5242	+	15.7048i	0.572244	+	0.717571i	0.980768	−	0.195176i	$-0.0625279\pi$
$479$	12.5242	+	15.7048i	0.572244	+	0.717571i	−0.408524	+	0.912747i	$0.633956\pi$
$480$	−24.8784	−	11.9808i	−1.13554	−	0.546847i
$481$	−5.16798	+	6.48045i	−0.235640	+	0.295483i
$482$	15.8875	−	7.65103i	0.723657	−	0.348495i
$483$	−9.71431	+	33.6808i	−0.442017	+	1.53253i
$484$	15.5284	+	7.47808i	0.705836	+	0.339913i
$485$	−17.4393	+	8.39830i	−0.791876	+	0.381347i
$486$	−0.359665	+	1.57580i	−0.0163147	+	0.0714795i
$487$	12.9754	−	6.24863i	0.587972	−	0.283152i	−0.116150	−	0.993232i	$-0.537055\pi$
$487$	12.9754	−	6.24863i	0.587972	−	0.283152i	0.704122	+	0.710079i	$0.251341\pi$
$488$	2.16677	+	2.71704i	0.0980851	+	0.122995i
$489$	−1.19026			−0.0538252
$490$	−1.45233	−	12.9603i	−0.0656096	−	0.585485i
$491$	17.5388			0.791513			0.395757	−	0.918355i	$-0.370482\pi$
$491$	17.5388			0.791513			0.395757	+	0.918355i	$0.370482\pi$
$492$	12.7298	+	15.9627i	0.573905	+	0.719654i
$493$	−35.9460	+	17.3107i	−1.61892	+	0.779633i
$494$	−0.362034	+	1.58617i	−0.0162887	+	0.0713653i
$495$	2.48676	−	1.19756i	0.111771	−	0.0538263i
$496$	4.48506	+	2.15989i	0.201385	+	0.0969820i
$497$	26.3174	−	29.4313i	1.18050	−	1.32017i
$498$	0.613849	−	0.295614i	0.0275072	−	0.0132468i
$499$	−6.52734	+	8.18502i	−0.292204	+	0.366412i	−0.906165	−	0.422924i	$-0.861004\pi$
$499$	−6.52734	+	8.18502i	−0.292204	+	0.366412i	0.613961	+	0.789336i	$0.289575\pi$
$500$	10.8496	+	5.22488i	0.485208	+	0.233664i
$501$	−2.41739	−	3.03131i	−0.108001	−	0.135429i
$502$	0.465471	+	2.03936i	0.0207750	+	0.0910212i
$503$	−9.32555	−	11.6939i	−0.415806	−	0.521404i	0.529182	−	0.848508i	$-0.322499\pi$
$503$	−9.32555	−	11.6939i	−0.415806	−	0.521404i	−0.944988	+	0.327104i	$0.893927\pi$
$504$	−0.962268	+	1.07612i	−0.0428628	+	0.0479343i
$505$	−9.49643	+	11.9081i	−0.422586	+	0.529906i
$506$	−22.2724	−	10.7258i	−0.990130	−	0.476821i
$507$	−0.399341	−	1.74963i	−0.0177353	−	0.0777036i
$508$	12.6225			0.560033
$509$	−10.8048			−0.478913			−0.239456	−	0.970907i	$-0.576969\pi$
$509$	−10.8048			−0.478913			−0.239456	+	0.970907i	$0.576969\pi$
$510$	4.81822	+	21.1100i	0.213354	+	0.934766i
$511$	24.0221	−	9.94178i	1.06268	−	0.439799i
$512$	3.01287	−	13.2002i	0.133151	−	0.583373i
$513$	−2.55695	+	11.2027i	−0.112892	+	0.494612i
$514$	8.75827	−	10.9825i	0.386311	−	0.484418i
$515$	−7.64085	+	9.58133i	−0.336696	+	0.422204i
$516$	−5.95508	+	26.0909i	−0.262158	+	1.14859i
$517$	2.38739	−	10.4598i	0.104997	−	0.460024i
$518$	14.3104	−	5.92249i	0.628763	−	0.260219i
$519$	2.46645	+	10.8062i	0.108265	+	0.474341i
$520$	−6.52302			−0.286054
$521$	−6.46678			−0.283315			−0.141657	−	0.989916i	$-0.545243\pi$
$521$	−6.46678			−0.283315			−0.141657	+	0.989916i	$0.545243\pi$
$522$	−0.213634	−	0.935993i	−0.00935052	−	0.0409673i
$523$	−31.6033	−	15.2194i	−1.38192	−	0.665496i	−0.412510	−	0.910953i	$-0.635348\pi$
$523$	−31.6033	−	15.2194i	−1.38192	−	0.665496i	−0.969407	+	0.245457i	$0.921062\pi$
$524$	−9.37991	+	11.7620i	−0.409763	+	0.513827i
$525$	−6.20130	+	6.93503i	−0.270647	+	0.302670i
$526$	−1.40555	−	1.76250i	−0.0612848	−	0.0768487i
$527$	−5.71043	−	25.0190i	−0.248750	−	1.08985i
$528$	6.66474	+	8.35732i	0.290046	+	0.363706i
$529$	−28.3838	−	13.6689i	−1.23408	−	0.594300i
$530$	−14.4387	+	18.1056i	−0.627178	+	0.786456i
$531$	−1.41518	+	0.681513i	−0.0614134	+	0.0295751i
$532$	−6.09939	+	6.82107i	−0.264442	+	0.295731i
$533$	6.82774	+	3.28807i	0.295742	+	0.142422i
$534$	−19.2718	+	9.28080i	−0.833971	+	0.401619i
$535$	10.5602	−	46.2671i	0.456556	−	2.00030i
$536$	5.33935	−	2.57130i	0.230625	−	0.111063i
$537$	24.8292	+	31.1348i	1.07146	+	1.34357i
$538$	−19.1177			−0.824222
$539$	−10.9808	+	31.3204i	−0.472976	+	1.34907i
$540$	−19.7538			−0.850069
$541$	6.41644	+	8.04597i	0.275864	+	0.345923i	0.900392	−	0.435080i	$-0.143280\pi$
$541$	6.41644	+	8.04597i	0.275864	+	0.345923i	−0.624527	+	0.781003i	$0.714708\pi$
$542$	−6.20316	+	2.98728i	−0.266448	+	0.128315i
$543$	6.96443	−	30.5132i	0.298872	−	1.30945i
$544$	−34.0316	+	16.3888i	−1.45909	+	0.702662i
$545$	−21.9065	−	10.5496i	−0.938373	−	0.451897i
$546$	−0.929268	+	3.22189i	−0.0397690	+	0.137884i
$547$	−21.9887	+	10.5892i	−0.940167	+	0.452761i	−0.840228	−	0.542233i	$-0.817579\pi$
$547$	−21.9887	+	10.5892i	−0.940167	+	0.452761i	−0.0999388	+	0.994994i	$0.531865\pi$
$548$	3.98418	−	4.99601i	0.170196	−	0.213419i
$549$	−0.279424	−	0.134564i	−0.0119255	−	0.00574304i
$550$	−4.09061	−	5.12946i	−0.174424	−	0.218721i
$551$	−3.15814	−	13.8367i	−0.134541	−	0.589464i
$552$	−20.4258	−	25.6132i	−0.869380	−	1.09017i
$553$	0.0555530	+	0.0307250i	0.00236236	+	0.00130656i
$554$	1.30233	−	1.63307i	0.0553306	−	0.0693824i
$555$	−35.3557	−	17.0264i	−1.50076	−	0.722730i
$556$	−0.967875	−	4.24054i	−0.0410470	−	0.179839i
$557$	10.1384			0.429579			0.214790	−	0.976660i	$-0.431093\pi$
$557$	10.1384			0.429579			0.214790	+	0.976660i	$0.431093\pi$
$558$	0.617530			0.0261421
$559$	2.21035	+	9.68418i	0.0934879	+	0.409597i
$560$	−7.67286	−	4.24367i	−0.324237	−	0.179328i
$561$	12.2621	−	53.7237i	0.517706	−	2.26822i
$562$	2.46053	−	10.7803i	0.103791	−	0.454738i
$563$	5.12679	−	6.42879i	0.216068	−	0.270941i	−0.661971	−	0.749529i	$-0.730280\pi$
$563$	5.12679	−	6.42879i	0.216068	−	0.270941i	0.878040	+	0.478588i	$0.158851\pi$
$564$	3.80106	−	4.76638i	0.160053	−	0.200701i
$565$	4.69640	−	20.5763i	0.197579	−	0.865650i
$566$	−1.45125	+	6.35833i	−0.0610005	+	0.267260i
$567$	−7.04854	+	24.4382i	−0.296011	+	1.02631i
$568$	8.21074	+	35.9736i	0.344515	+	1.50942i
$569$	−38.7449			−1.62427			−0.812136	−	0.583468i	$-0.801695\pi$
$569$	−38.7449			−1.62427			−0.812136	+	0.583468i	$0.801695\pi$
$570$	−7.70257			−0.322625
$571$	−5.78609	−	25.3505i	−0.242141	−	1.06089i	−0.939064	−	0.343742i	$-0.888306\pi$
$571$	−5.78609	−	25.3505i	−0.242141	−	1.06089i	0.696924	−	0.717145i	$-0.254552\pi$
$572$	6.41308	+	3.08838i	0.268144	+	0.129131i
$573$	18.6142	−	23.3415i	0.777621	−	0.975105i
$574$	−8.19038	−	11.5507i	−0.341860	−	0.482116i
$575$	−9.01894	−	11.3094i	−0.376116	−	0.471634i
$576$	−0.0788858	−	0.345621i	−0.00328691	−	0.0144009i
$577$	−2.28652	−	2.86721i	−0.0951891	−	0.119363i	0.731956	−	0.681352i	$-0.238608\pi$
$577$	−2.28652	−	2.86721i	−0.0951891	−	0.119363i	−0.827145	+	0.561989i	$0.810036\pi$
$578$	15.8693	+	7.64223i	0.660074	+	0.317875i
$579$	−1.11314	+	1.39583i	−0.0462605	+	0.0580088i
$580$	21.9822	−	10.5861i	0.912760	−	0.439562i
$581$	1.31418	−	0.543887i	0.0545216	−	0.0225642i
$582$	−8.37833	−	4.03479i	−0.347293	−	0.167247i
$583$	53.0990	−	25.5712i	2.19914	−	1.05905i
$584$	−5.40665	+	23.6881i	−0.223729	+	0.980220i
$585$	0.524481	−	0.252577i	0.0216846	−	0.0104428i
$586$	3.30068	+	4.13892i	0.136350	+	0.170977i
$587$	24.4597			1.00956			0.504781	−	0.863248i	$-0.331573\pi$
$587$	24.4597			1.00956			0.504781	+	0.863248i	$0.331573\pi$
$588$	−13.3436	+	13.3274i	−0.550279	+	0.549614i
$589$	9.12889			0.376150
$590$	8.26838	+	10.3682i	0.340404	+	0.426853i
$591$	−35.2921	+	16.9958i	−1.45172	+	0.699112i
$592$	2.31707	−	10.1518i	0.0952312	−	0.417235i
$593$	0.110079	−	0.0530113i	0.00452040	−	0.00217691i	−0.431622	−	0.902054i	$-0.642059\pi$
$593$	0.110079	−	0.0530113i	0.00452040	−	0.00217691i	0.436143	+	0.899878i	$0.356344\pi$
$594$	−15.0476	−	7.24656i	−0.617412	−	0.297330i
$595$	7.55801	+	44.5649i	0.309848	+	1.82698i
$596$	−4.59083	+	2.21083i	−0.188048	+	0.0905590i
$597$	7.49311	−	9.39606i	0.306672	−	0.384555i
$598$	−4.69747	−	2.26218i	−0.192094	−	0.0925074i
$599$	−14.4780	−	18.1548i	−0.591554	−	0.741786i	0.392481	−	0.919760i	$-0.371617\pi$
$599$	−14.4780	−	18.1548i	−0.591554	−	0.741786i	−0.984035	+	0.177975i	$0.943046\pi$
$600$	−1.93474	−	8.47663i	−0.0789853	−	0.346057i
$601$	−27.7844	−	34.8406i	−1.13335	−	1.42118i	−0.892751	−	0.450551i	$-0.851227\pi$
$601$	−27.7844	−	34.8406i	−1.13335	−	1.42118i	−0.240599	−	0.970625i	$-0.577344\pi$
$602$	5.14350	−	17.8332i	0.209633	−	0.726826i
$603$	−0.329746	+	0.413488i	−0.0134283	+	0.0168385i
$604$	12.3277	+	5.93669i	0.501605	+	0.241560i
$605$	6.73936	+	29.5271i	0.273994	+	1.20045i
$606$	−7.31746			−0.297252
$607$	−9.43316			−0.382880			−0.191440	−	0.981504i	$-0.561316\pi$
$607$	−9.43316			−0.382880			−0.191440	+	0.981504i	$0.561316\pi$
$608$	−2.98995	−	13.0998i	−0.121258	−	0.531268i
$609$	−4.89105	−	28.8395i	−0.198195	−	1.16864i
$610$	−0.582661	+	2.55280i	−0.0235912	+	0.103360i
$611$	0.503524	−	2.20608i	0.0203704	−	0.0892485i
$612$	1.33763	−	1.67733i	0.0540704	−	0.0678021i
$613$	29.2923	−	36.7314i	1.18311	−	1.48357i	0.344535	−	0.938773i	$-0.388036\pi$
$613$	29.2923	−	36.7314i	1.18311	−	1.48357i	0.838570	−	0.544794i	$-0.183392\pi$
$614$	−4.04700	+	17.7311i	−0.163324	+	0.715568i
$615$	−7.98354	+	34.9782i	−0.321927	+	1.41046i
$616$	−17.9417	−	25.3027i	−0.722892	−	1.01947i
$617$	5.99353	+	26.2594i	0.241290	+	1.05716i	0.939844	+	0.341605i	$0.110970\pi$
$617$	5.99353	+	26.2594i	0.241290	+	1.05716i	−0.698553	+	0.715558i	$0.746173\pi$
$618$	−5.88765			−0.236836
$619$	1.45696			0.0585603			0.0292801	−	0.999571i	$-0.490679\pi$
$619$	1.45696			0.0585603			0.0292801	+	0.999571i	$0.490679\pi$
$620$	3.49212	+	15.3000i	0.140247	+	0.614463i
$621$	−33.1769	−	15.9772i	−1.33134	−	0.641141i
$622$	−8.53190	+	10.6987i	−0.342098	+	0.428977i
$623$	−41.2588	+	17.0753i	−1.65300	+	0.684109i
$624$	1.40566	+	1.76264i	0.0562713	+	0.0705620i
$625$	6.88874	+	30.1815i	0.275550	+	1.20726i
$626$	9.92797	+	12.4493i	0.396801	+	0.497573i
$627$	17.6613	+	8.50525i	0.705326	+	0.339667i
$628$	−5.83810	+	7.32075i	−0.232966	+	0.292130i
$629$	−48.3636	+	23.2907i	−1.92838	+	0.928660i
$630$	−1.08597	−	0.0613166i	−0.0432662	−	0.00244291i
$631$	5.94284	+	2.86192i	0.236581	+	0.113931i	0.548418	−	0.836204i	$-0.315230\pi$
$631$	5.94284	+	2.86192i	0.236581	+	0.113931i	−0.311838	+	0.950135i	$0.600944\pi$
$632$	−0.0534548	+	0.0257425i	−0.00212632	+	0.00102398i
$633$	6.20792	−	27.1987i	0.246743	−	1.08105i
$634$	−7.94536	+	3.82628i	−0.315551	+	0.151961i
$635$	13.8295	+	17.3416i	0.548807	+	0.688182i
$636$	33.4888			1.32792
$637$	−2.31595	+	6.60578i	−0.0917613	+	0.261731i
$638$	20.6285			0.816691
$639$	−2.05311	−	2.57452i	−0.0812197	−	0.101846i
$640$	25.0289	−	12.0533i	0.989353	−	0.476447i
$641$	9.34104	−	40.9258i	0.368949	−	1.61647i	−0.360722	−	0.932673i	$-0.617470\pi$
$641$	9.34104	−	40.9258i	0.368949	−	1.61647i	0.729671	−	0.683798i	$-0.239673\pi$
$642$	20.5418	−	9.89242i	0.810721	−	0.390423i
$643$	−31.4516	−	15.1463i	−1.24033	−	0.597311i	−0.305426	−	0.952216i	$-0.598799\pi$
$643$	−31.4516	−	15.1463i	−1.24033	−	0.597311i	−0.934902	+	0.354905i	$0.884513\pi$
$644$	−16.9614	−	23.9202i	−0.668372	−	0.942587i
$645$	−42.3699	+	20.4043i	−1.66831	+	0.803418i
$646$	−6.56938	+	8.23775i	−0.258469	+	0.324110i
$647$	11.8885	+	5.72520i	0.467385	+	0.225081i	0.652727	−	0.757593i	$-0.273625\pi$
$647$	11.8885	+	5.72520i	0.467385	+	0.225081i	−0.185342	+	0.982674i	$0.559339\pi$
$648$	−14.8206	−	18.5845i	−0.582209	−	0.730067i
$649$	−7.50999	−	32.9034i	−0.294793	−	1.29157i
$650$	−0.862749	−	1.08185i	−0.0338398	−	0.0424337i
$651$	18.7850	+	1.06065i	0.736243	+	0.0415700i
$652$	0.620798	−	0.778456i	0.0243123	−	0.0304867i
$653$	8.42603	+	4.05776i	0.329736	+	0.158793i	0.591426	−	0.806360i	$-0.298565\pi$
$653$	8.42603	+	4.05776i	0.329736	+	0.158793i	−0.261690	+	0.965152i	$0.584280\pi$
$654$	−2.59935	−	11.3885i	−0.101643	−	0.445325i
$655$	−26.4363			−1.03295
$656$	−9.52017			−0.371700
$657$	−0.482502	−	2.11398i	−0.0188242	−	0.0824742i
$658$	−2.81830	+	3.15176i	−0.109869	+	0.122868i
$659$	−2.53758	+	11.1179i	−0.0988502	+	0.433091i	−1.00000		0.000416933i	$-0.999867\pi$
$659$	−2.53758	+	11.1179i	−0.0988502	+	0.433091i	0.901150	+	0.433508i	$0.142724\pi$
$660$	−7.49868	+	32.8539i	−0.291886	+	1.27884i
$661$	−6.33246	+	7.94065i	−0.246304	+	0.308856i	−0.889580	−	0.456778i	$-0.849003\pi$
$661$	−6.33246	+	7.94065i	−0.246304	+	0.308856i	0.643276	+	0.765634i	$0.277575\pi$
$662$	9.85598	−	12.3590i	0.383063	−	0.480346i
$663$	2.58619	−	11.3308i	0.100439	−	0.440054i
$664$	−0.295783	+	1.29591i	−0.0114786	+	0.0502910i
$665$	−16.0539	−	0.906438i	−0.622542	−	0.0351502i
$666$	−0.287435	−	1.25933i	−0.0111379	−	0.0487982i
$667$	45.4816			1.76106
$668$	3.24338			0.125490
$669$	5.70482	+	24.9945i	0.220561	+	0.966341i
$670$	4.02300	+	1.93737i	0.155422	+	0.0748473i
$671$	4.15482	−	5.20998i	0.160395	−	0.201129i
$672$	−4.63057	−	27.3036i	−0.178628	−	1.05326i
$673$	5.60126	+	7.02376i	0.215913	+	0.270746i	0.877979	−	0.478700i	$-0.158892\pi$
$673$	5.60126	+	7.02376i	0.215913	+	0.270746i	−0.662066	+	0.749445i	$0.730320\pi$
$674$	1.39526	+	6.11305i	0.0537435	+	0.235466i
$675$	−6.09336	−	7.64083i	−0.234533	−	0.294096i
$676$	1.35258	+	0.651368i	0.0520223	+	0.0250526i
$677$	−26.5016	+	33.2319i	−1.01854	+	1.27721i	−0.0582194	+	0.998304i	$0.518542\pi$
$677$	−26.5016	+	33.2319i	−1.01854	+	1.27721i	−0.960319	+	0.278903i	$0.910029\pi$
$678$	9.13553	−	4.39944i	0.350848	−	0.168959i
$679$	−16.9875	−	9.39536i	−0.651919	−	0.360561i
$680$	−38.0606	−	18.3290i	−1.45956	−	0.702886i
$681$	27.9883	−	13.4785i	1.07251	−	0.516496i
$682$	−2.95255	+	12.9360i	−0.113059	+	0.495343i
$683$	28.4924	−	13.7212i	1.09023	−	0.525027i	0.199657	−	0.979866i	$-0.436017\pi$
$683$	28.4924	−	13.7212i	1.09023	−	0.525027i	0.890574	+	0.454839i	$0.150303\pi$
$684$	0.475834	+	0.596676i	0.0181940	+	0.0228145i
$685$	11.2290			0.429038
$686$	9.76047	−	8.70657i	0.372656	−	0.332418i
$687$	−14.9247			−0.569414
$688$	−7.78031	−	9.75620i	−0.296622	−	0.371952i
$689$	11.1991	−	5.39320i	0.426652	−	0.205465i
$690$	5.49265	−	24.0649i	0.209102	−	0.916134i
$691$	2.02541	−	0.975388i	0.0770504	−	0.0371055i	−0.394962	−	0.918698i	$-0.629242\pi$
$691$	2.02541	−	0.975388i	0.0770504	−	0.0371055i	0.472012	+	0.881592i	$0.343528\pi$
$692$	−8.35395	−	4.02305i	−0.317570	−	0.152933i
$693$	2.42234	+	1.33973i	0.0920170	+	0.0508923i
$694$	10.5922	−	5.10091i	0.402073	−	0.193628i
$695$	4.76551	−	5.97576i	0.180766	−	0.226673i
$696$	24.6303	+	11.8613i	0.933611	+	0.449603i
$697$	30.5994	+	38.3705i	1.15904	+	1.45339i
$698$	−5.22645	−	22.8986i	−0.197824	−	0.866723i
$699$	24.3226	+	30.4996i	0.919967	+	1.15360i
$700$	−1.30129	−	7.67288i	−0.0491840	−	0.290007i
$701$	3.53927	−	4.43810i	0.133676	−	0.167625i	−0.710488	−	0.703709i	$-0.751526\pi$
$701$	3.53927	−	4.43810i	0.133676	−	0.167625i	0.844164	+	0.536085i	$0.180097\pi$
$702$	−3.17369	−	1.52837i	−0.119783	−	0.0576846i
$703$	−4.24913	−	18.6166i	−0.160259	−	0.702140i
$704$	7.61721			0.287084
$705$	10.7129			0.403471
$706$	−0.549744	−	2.40859i	−0.0206899	−	0.0906483i
$707$	−15.2512	−	0.861119i	−0.573581	−	0.0323857i
$708$	4.26739	−	18.6966i	0.160378	−	0.702663i
$709$	10.6799	−	46.7917i	0.401092	−	1.75730i	−0.221901	−	0.975069i	$-0.571226\pi$
$709$	10.6799	−	46.7917i	0.401092	−	1.75730i	0.622992	−	0.782228i	$-0.285917\pi$
$710$	−17.3341	+	21.7363i	−0.650539	+	0.815750i
$711$	0.00330124	−	0.00413963i	0.000123806	−	0.000155248i
$712$	9.28609	−	40.6850i	0.348011	−	1.52474i
$713$	−6.50975	+	28.5211i	−0.243792	+	1.06812i
$714$	−14.4753	+	16.1880i	−0.541724	+	0.605821i
$715$	2.78329	+	12.1944i	0.104089	+	0.456045i
$716$	−33.3130			−1.24496
$717$	−35.3485			−1.32011
$718$	3.39100	+	14.8570i	0.126551	+	0.554457i
$719$	28.6014	+	13.7737i	1.06665	+	0.513673i	0.883027	−	0.469323i	$-0.155502\pi$
$719$	28.6014	+	13.7737i	1.06665	+	0.513673i	0.183627	+	0.982996i	$0.441216\pi$
$720$	−0.455960	+	0.571756i	−0.0169926	+	0.0213081i
$721$	−12.2712	−	0.692858i	−0.457002	−	0.0258034i
$722$	6.02920	+	7.56037i	0.224384	+	0.281368i
$723$	−9.97123	−	43.6868i	−0.370834	−	1.62473i
$724$	16.3239	+	20.4696i	0.606674	+	0.760745i
$725$	10.8754	+	5.23733i	0.403904	+	0.194510i
$726$	−9.07208	+	11.3760i	−0.336696	+	0.422204i
$727$	12.5349	−	6.03649i	0.464894	−	0.223881i	−0.186748	−	0.982408i	$-0.559795\pi$
$727$	12.5349	−	6.03649i	0.464894	−	0.223881i	0.651642	+	0.758527i	$0.274081\pi$
$728$	−3.78408	−	5.33658i	−0.140247	−	0.197787i
$729$	−22.2833	−	10.7311i	−0.825307	−	0.397447i
$730$	−16.4941	+	7.94314i	−0.610474	+	0.293989i
$731$	−14.3146	+	62.7162i	−0.529443	+	2.31964i
$732$	3.41157	−	1.64293i	0.126095	−	0.0607243i
$733$	11.3595	+	14.2444i	0.419574	+	0.526129i	0.946033	−	0.324072i	$-0.105052\pi$
$733$	11.3595	+	14.2444i	0.419574	+	0.526129i	−0.526459	+	0.850201i	$0.676481\pi$
$734$	0.0892715			0.00329507
$735$	−32.9296	−	3.73045i	−1.21463	−	0.137600i
$736$	43.0594			1.58719
$737$	−7.08512	−	8.88446i	−0.260984	−	0.327263i
$738$	−1.06403	+	0.512410i	−0.0391675	+	0.0188621i
$739$	−5.95541	+	26.0924i	−0.219073	+	0.959823i	0.739091	+	0.673605i	$0.235255\pi$
$739$	−5.95541	+	26.0924i	−0.219073	+	0.959823i	−0.958165	+	0.286218i	$0.907602\pi$
$740$	29.5760	−	14.2430i	1.08724	−	0.523585i
$741$	3.72494	+	1.79384i	0.136839	+	0.0658983i
$742$	−23.1885	−	1.30928i	−0.851276	−	0.0480650i
$743$	−6.89566	+	3.32078i	−0.252977	+	0.121827i	−0.556075	−	0.831132i	$-0.687693\pi$
$743$	−6.89566	+	3.32078i	−0.252977	+	0.121827i	0.303098	+	0.952959i	$0.401979\pi$
$744$	−10.9635	+	13.7477i	−0.401940	+	0.504017i
$745$	−8.06720	−	3.88496i	−0.295559	−	0.142334i
$746$	−5.40439	−	6.77689i	−0.197869	−	0.248119i
$747$	−0.0263964	−	0.115650i	−0.000965792	−	0.00423141i
$748$	28.7411	+	36.0402i	1.05088	+	1.31776i
$749$	43.9778	−	18.2006i	1.60692	−	0.665037i
$750$	−6.33860	+	7.94835i	−0.231453	+	0.290233i
$751$	−0.592195	−	0.285186i	−0.0216095	−	0.0104066i	0.423048	−	0.906107i	$-0.360960\pi$
$751$	−0.592195	−	0.285186i	−0.0216095	−	0.0104066i	−0.444657	+	0.895701i	$0.646675\pi$
$752$	0.632554	+	2.77140i	0.0230669	+	0.101063i
$753$	5.31561			0.193712
$754$	4.35075			0.158445
$755$	5.35024	+	23.4409i	0.194715	+	0.853103i
$756$	−11.4594	−	16.1609i	−0.416775	−	0.587766i
$757$	−3.77440	+	16.5367i	−0.137183	+	0.601037i	0.858864	+	0.512204i	$0.171171\pi$
$757$	−3.77440	+	16.5367i	−0.137183	+	0.601037i	−0.996047	+	0.0888329i	$0.971686\pi$
$758$	1.32196	−	5.79187i	0.0480156	−	0.210370i
$759$	−39.1668	+	49.1137i	−1.42167	+	1.78271i
$760$	9.36948	−	11.7490i	0.339867	−	0.426179i
$761$	−4.02555	+	17.6371i	−0.145926	+	0.639344i	0.848066	+	0.529891i	$0.177767\pi$
$761$	−4.02555	+	17.6371i	−0.145926	+	0.639344i	−0.993992	+	0.109453i	$0.965090\pi$
$762$	−2.37125	+	10.3891i	−0.0859013	+	0.376358i
$763$	−4.07742	−	24.0420i	−0.147612	−	0.870379i
$764$	5.55734	+	24.3483i	0.201057	+	0.880890i
$765$	3.76996			0.136303
$766$	6.94178			0.250817
$767$	−1.58393	−	6.93965i	−0.0571924	−	0.250576i
$768$	17.2198	+	8.29264i	0.621368	+	0.299235i
$769$	−4.39259	+	5.50813i	−0.158401	+	0.198628i	−0.854698	−	0.519125i	$-0.826258\pi$
$769$	−4.39259	+	5.50813i	−0.158401	+	0.198628i	0.696298	+	0.717753i	$0.254829\pi$
$770$	6.47674	−	22.4557i	0.233405	−	0.809247i
$771$	−22.2561	−	27.9083i	−0.801535	−	1.00509i
$772$	−0.332331	−	1.45604i	−0.0119609	−	0.0524040i
$773$	−12.3322	−	15.4641i	−0.443559	−	0.556205i	0.508919	−	0.860815i	$-0.330045\pi$
$773$	−12.3322	−	15.4641i	−0.443559	−	0.556205i	−0.952477	+	0.304610i	$0.901474\pi$
$774$	−1.39469	−	0.671646i	−0.0501310	−	0.0241418i
$775$	−4.84088	+	6.07027i	−0.173889	+	0.218050i
$776$	16.3459	−	7.87175i	0.586782	−	0.282579i
$777$	−6.58068	−	38.8022i	−0.236080	−	1.39202i
$778$	−11.9580	−	5.75866i	−0.428714	−	0.206458i
$779$	−15.7295	+	7.57491i	−0.563567	+	0.271399i
$780$	−1.58154	+	6.92920i	−0.0566284	+	0.248105i
$781$	63.7471	−	30.6990i	2.28105	−	1.09850i
$782$	−21.0523	−	26.3988i	−0.752830	−	0.944019i
$783$	30.7282			1.09814
$784$	−0.979303	−	8.73908i	−0.0349751	−	0.312110i
$785$	−16.4541			−0.587272
$786$	−7.91880	−	9.92987i	−0.282454	−	0.354187i
$787$	25.1000	−	12.0875i	0.894720	−	0.430874i	0.0707410	−	0.997495i	$-0.477464\pi$
$787$	25.1000	−	12.0875i	0.894720	−	0.430874i	0.823979	+	0.566620i	$0.191749\pi$
$788$	7.29152	−	31.9463i	0.259750	−	1.13804i
$789$	−5.16128	+	2.48554i	−0.183747	+	0.0884877i
$790$	−0.0402762	−	0.0193960i	−0.00143296	−	0.000690078i
$791$	19.5582	−	8.09433i	0.695409	−	0.287801i
$792$	−2.33085	+	1.12248i	−0.0828230	+	0.0398854i
$793$	0.876291	−	1.09883i	0.0311180	−	0.0390207i
$794$	−15.3529	−	7.39358i	−0.544855	−	0.262388i
$795$	36.6910	+	46.0091i	1.30130	+	1.63178i
$796$	2.23709	+	9.80134i	0.0792916	+	0.347399i
$797$	−8.30904	−	10.4192i	−0.294321	−	0.369067i	0.612581	−	0.790408i	$-0.290131\pi$
$797$	−8.30904	−	10.4192i	−0.294321	−	0.369067i	−0.906903	+	0.421340i	$0.861560\pi$
$798$	−4.46835	−	6.30158i	−0.158178	−	0.223074i
$799$	9.13683	−	11.4572i	0.323238	−	0.405327i
$800$	10.2963	+	4.95841i	0.364028	+	0.175306i
$801$	0.828713	+	3.63083i	0.0292811	+	0.128289i
$802$	3.44187			0.121537
$803$	46.5904			1.64414
$804$	−1.43685	−	6.29525i	−0.0506738	−	0.222016i
$805$	14.2799	−	49.5102i	0.503299	−	1.74500i
$806$	−0.622721	+	2.72832i	−0.0219344	+	0.0961009i
$807$	−10.8103	+	47.3630i	−0.380541	+	1.66726i
$808$	8.90103	−	11.1615i	0.313137	−	0.392662i
$809$	−25.4156	+	31.8701i	−0.893564	+	1.12049i	0.0985476	+	0.995132i	$0.468580\pi$
$809$	−25.4156	+	31.8701i	−0.893564	+	1.12049i	−0.992111	+	0.125361i	$0.959991\pi$
$810$	3.98538	−	17.4611i	0.140032	−	0.613520i
$811$	5.21651	−	22.8550i	0.183177	−	0.802549i	−0.796929	−	0.604073i	$-0.793544\pi$
$811$	5.21651	−	22.8550i	0.183177	−	0.802549i	0.980106	−	0.198476i	$-0.0635992\pi$
$812$	21.4127	+	11.8428i	0.751439	+	0.415602i
$813$	3.89319	+	17.0572i	0.136540	+	0.598221i
$814$	27.7547			0.972802
$815$	1.74965			0.0612877
$816$	3.24891	+	14.2344i	0.113735	+	0.498304i
$817$	−20.6176	−	9.92889i	−0.721317	−	0.347368i
$818$	−5.88431	+	7.37870i	−0.205740	+	0.257990i
$819$	0.510894	+	0.282563i	0.0178521	+	0.00987355i
$820$	−18.7126	−	23.4649i	−0.653473	−	0.819429i
$821$	11.3876	+	49.8923i	0.397430	+	1.74125i	0.637455	+	0.770488i	$0.279987\pi$
$821$	11.3876	+	49.8923i	0.397430	+	1.74125i	−0.240025	+	0.970767i	$0.577156\pi$
$822$	3.36357	+	4.21778i	0.117318	+	0.147112i
$823$	−29.8478	−	14.3739i	−1.04043	−	0.501044i	−0.165964	−	0.986132i	$-0.553073\pi$
$823$	−29.8478	−	14.3739i	−1.04043	−	0.501044i	−0.874466	+	0.485088i	$0.838788\pi$
$824$	7.16179	−	8.98060i	0.249493	−	0.312854i
$825$	−15.0210	+	7.23375i	−0.522965	+	0.251847i
$826$	−3.68581	+	12.7792i	−0.128246	+	0.444645i
$827$	−17.5913	−	8.47152i	−0.611709	−	0.294584i	0.102263	−	0.994757i	$-0.467392\pi$
$827$	−17.5913	−	8.47152i	−0.611709	−	0.294584i	−0.713973	+	0.700174i	$0.753106\pi$
$828$	−2.20349	+	1.06114i	−0.0765766	+	0.0368773i
$829$	−3.99469	+	17.5019i	−0.138741	+	0.607865i	0.856971	+	0.515364i	$0.172343\pi$
$829$	−3.99469	+	17.5019i	−0.138741	+	0.607865i	−0.995713	+	0.0925012i	$0.970514\pi$
$830$	−0.902346	+	0.434547i	−0.0313209	+	0.0150833i
$831$	−3.30942	−	4.14988i	−0.114803	−	0.143958i
$832$	1.60654			0.0556969
$833$	−32.0747	+	32.0359i	−1.11132	+	1.10998i
$834$	3.67206			0.127153
$835$	3.55352	+	4.45598i	0.122975	+	0.154205i
$836$	−14.7742	+	7.11487i	−0.510976	+	0.246073i
$837$	−4.39810	+	19.2694i	−0.152021	+	0.666046i
$838$	−21.2910	+	10.2532i	−0.735487	+	0.354192i
$839$	12.3203	+	5.93312i	0.425342	+	0.204834i	0.634294	−	0.773092i	$-0.281291\pi$
$839$	12.3203	+	5.93312i	0.425342	+	0.204834i	−0.208952	+	0.977926i	$0.567005\pi$
$840$	20.6451	−	23.0879i	0.712325	−	0.796607i
$841$	−8.06641	+	3.88458i	−0.278152	+	0.133951i
$842$	−11.9709	+	15.0111i	−0.412545	+	0.517315i
$843$	−25.3162	−	12.1916i	−0.871936	−	0.419902i
$844$	14.5507	+	18.2460i	0.500857	+	0.628054i
$845$	0.587023	+	2.57192i	0.0201942	+	0.0884767i
$846$	0.219865	+	0.275702i	0.00755910	+	0.00947881i
$847$	−20.2469	+	22.6426i	−0.695693	+	0.778007i
$848$	−9.73599	+	12.2085i	−0.334335	+	0.419243i
$849$	14.9318	+	7.19077i	0.512458	+	0.246787i
$850$	−1.99408	−	8.73664i	−0.0683964	−	0.299664i
$851$	61.1934			2.09768
$852$	40.2044			1.37738
$853$	−5.46799	−	23.9568i	−0.187220	−	0.820266i	−0.978073	−	0.208260i	$-0.933220\pi$
$853$	−5.46799	−	23.9568i	−0.187220	−	0.820266i	0.790853	−	0.612006i	$-0.209637\pi$
$854$	−2.42649	+	1.00423i	−0.0830329	+	0.0343639i
$855$	−0.298420	+	1.30746i	−0.0102058	+	0.0447143i
$856$	−9.89807	+	43.3663i	−0.338309	+	1.48223i
$857$	10.5180	−	13.1891i	0.359288	−	0.450533i	−0.569032	−	0.822315i	$-0.692682\pi$
$857$	10.5180	−	13.1891i	0.359288	−	0.450533i	0.928320	+	0.371783i	$0.121253\pi$
$858$	−3.74668	+	4.69819i	−0.127910	+	0.160394i
$859$	6.56749	−	28.7741i	0.224080	−	0.981759i	−0.730291	−	0.683136i	$-0.760616\pi$
$859$	6.56749	−	28.7741i	0.224080	−	0.981759i	0.954371	−	0.298623i	$-0.0965272\pi$
$860$	8.75385	−	38.3531i	0.298504	−	1.30783i
$861$	−33.2475	+	13.7598i	−1.13307	+	0.468932i
$862$	2.47878	+	10.8602i	0.0844275	+	0.369901i
$863$	25.2791			0.860511			0.430256	−	0.902707i	$-0.358423\pi$
$863$	25.2791			0.860511			0.430256	+	0.902707i	$0.358423\pi$
$864$	29.0917			0.989720
$865$	−3.62564	−	15.8850i	−0.123275	−	0.540105i
$866$	−4.55746	−	2.19476i	−0.154869	−	0.0745809i
$867$	27.9067	−	34.9938i	0.947760	−	1.18845i
$868$	−10.4913	+	11.7327i	−0.356099	+	0.398232i
$869$	0.0709325	+	0.0889466i	0.00240622	+	0.00301731i
$870$	4.58345	+	20.0814i	0.155394	+	0.680824i
$871$	−1.49432	−	1.87382i	−0.0506331	−	0.0634919i
$872$	20.5331	+	9.88820i	0.695337	+	0.334857i
$873$	−1.00948	+	1.26585i	−0.0341658	+	0.0428425i
$874$	10.8218	−	5.21152i	0.366054	−	0.176282i
$875$	−14.1464	+	15.8202i	−0.478236	+	0.534820i
$876$	23.8522	+	11.4866i	0.805892	+	0.388097i
$877$	18.8744	−	9.08943i	0.637343	−	0.306928i	−0.0871657	−	0.996194i	$-0.527781\pi$
$877$	18.8744	−	9.08943i	0.637343	−	0.306928i	0.724509	+	0.689266i	$0.242067\pi$
$878$	−1.70014	+	7.44878i	−0.0573768	+	0.251384i
$879$	12.1204	−	5.83685i	0.408809	−	0.196872i
$880$	−9.79704	−	12.2851i	−0.330258	−	0.414131i
$881$	−18.8381			−0.634673			−0.317336	−	0.948313i	$-0.602788\pi$
$881$	−18.8381			−0.634673			−0.317336	+	0.948313i	$0.602788\pi$
$882$	−0.579821	−	0.924021i	−0.0195236	−	0.0311134i
$883$	16.0394			0.539767			0.269884	−	0.962893i	$-0.413015\pi$
$883$	16.0394			0.539767			0.269884	+	0.962893i	$0.413015\pi$
$884$	6.06177	+	7.60122i	0.203879	+	0.255657i
$885$	30.3621	−	14.6216i	1.02061	−	0.491501i
$886$	5.91755	−	25.9265i	0.198804	−	0.871017i
$887$	−21.8818	+	10.5377i	−0.734718	+	0.353821i	−0.763538	−	0.645763i	$-0.776539\pi$
$887$	−21.8818	+	10.5377i	−0.734718	+	0.353821i	0.0288201	+	0.999585i	$0.490825\pi$
$888$	33.1390	+	15.9589i	1.11207	+	0.535545i
$889$	−6.16480	+	21.3742i	−0.206761	+	0.716867i
$890$	28.3291	−	13.6426i	0.949595	−	0.457301i
$891$	−28.4188	+	35.6360i	−0.952066	+	1.19385i
$892$	−19.3224	−	9.30518i	−0.646962	−	0.311561i
$893$	3.25024	+	4.07567i	0.108765	+	0.136387i
$894$	−0.957224	−	4.19387i	−0.0320143	−	0.140264i
$895$	−36.4984	−	45.7676i	−1.22001	−	1.52984i
$896$	24.3805	+	13.4842i	0.814495	+	0.450477i
$897$	−8.26066	+	10.3585i	−0.275815	+	0.345862i
$898$	−2.56450	−	1.23500i	−0.0855785	−	0.0412124i
$899$	−5.43219	−	23.8000i	−0.181174	−	0.793774i
$900$	−0.649086			−0.0216362
$901$	80.4990			2.68181
$902$	−5.64655	−	24.7391i	−0.188010	−	0.823724i
$903$	−41.2723	−	22.8267i	−1.37346	−	0.759625i
$904$	−4.40195	+	19.2862i	−0.146407	+	0.641449i
$905$	−10.2376	+	44.8538i	−0.340309	+	1.49099i
$906$	−7.20214	+	9.03119i	−0.239275	+	0.300041i
$907$	0.902463	−	1.13165i	0.0299658	−	0.0375759i	−0.766623	−	0.642098i	$-0.778064\pi$
$907$	0.902463	−	1.13165i	0.0299658	−	0.0375759i	0.796589	+	0.604522i	$0.206636\pi$
$908$	−5.78253	+	25.3349i	−0.191900	+	0.840769i
$909$	−0.283500	+	1.24209i	−0.00940310	+	0.0411977i
$910$	1.36601	−	4.73612i	0.0452826	−	0.157001i
$911$	7.69365	+	33.7081i	0.254902	+	1.11680i	0.926622	+	0.375994i	$0.122699\pi$
$911$	7.69365	+	33.7081i	0.254902	+	1.11680i	−0.671720	+	0.740805i	$0.734444\pi$
$912$	−5.19382			−0.171985
$913$	2.54883			0.0843540
$914$	5.60213	+	24.5445i	0.185302	+	0.811862i
$915$	5.99496	+	2.88702i	0.198187	+	0.0954419i
$916$	7.78425	−	9.76113i	0.257199	−	0.322517i
$917$	−15.3360	−	21.6279i	−0.506439	−	0.714217i
$918$	−14.2233	−	17.8355i	−0.469440	−	0.588659i
$919$	−3.18159	−	13.9395i	−0.104951	−	0.459821i	−0.999907	−	0.0136655i	$-0.995650\pi$
$919$	−3.18159	−	13.9395i	−0.104951	−	0.459821i	0.894956	−	0.446155i	$-0.147207\pi$
$920$	30.0255	+	37.6508i	0.989913	+	1.24131i
$921$	41.6394	+	20.0525i	1.37206	+	0.660751i
$922$	−7.75286	+	9.72178i	−0.255327	+	0.320170i
$923$	13.4449	−	6.47471i	0.442544	−	0.213118i
$924$	−31.2283	+	12.9241i	−1.02734	+	0.425172i
$925$	14.6324	+	7.04659i	0.481110	+	0.231690i
$926$	6.48143	−	3.12129i	0.212993	−	0.102572i
$927$	−0.228105	+	0.999392i	−0.00749194	+	0.0328243i
$928$	−32.3734	+	15.5902i	−1.06271	+	0.511774i
$929$	4.63130	+	5.80746i	0.151948	+	0.190537i	0.851979	−	0.523575i	$-0.175402\pi$
$929$	4.63130	+	5.80746i	0.151948	+	0.190537i	−0.700031	+	0.714112i	$0.746831\pi$
$930$	−13.2489			−0.434449
$931$	−8.57145	−	13.6597i	−0.280918	−	0.447680i
$932$	−32.6334			−1.06894
$933$	21.6809	+	27.1870i	0.709801	+	0.890062i
$934$	−14.1040	+	6.79213i	−0.461497	+	0.222245i
$935$	−18.0250	+	78.9728i	−0.589482	+	2.58269i
$936$	−0.491598	+	0.236741i	−0.0160684	+	0.00773812i
$937$	26.2655	+	12.6488i	0.858056	+	0.413218i	0.810562	−	0.585653i	$-0.199162\pi$
$937$	26.2655	+	12.6488i	0.858056	+	0.413218i	0.0474947	+	0.998871i	$0.484876\pi$
$938$	0.748792	+	4.41517i	0.0244489	+	0.144160i
$939$	36.4563	−	17.5564i	1.18971	−	0.572932i
$940$	−5.58748	+	7.00648i	−0.182244	+	0.228526i
$941$	10.7073	+	5.15637i	0.349048	+	0.168093i	0.600190	−	0.799858i	$-0.295092\pi$
$941$	10.7073	+	5.15637i	0.349048	+	0.168093i	−0.251142	+	0.967950i	$0.580806\pi$
$942$	−4.92871	−	6.18040i	−0.160586	−	0.201368i
$943$	−12.4495	−	54.5447i	−0.405410	−	1.77622i
$944$	5.57534	+	6.99126i	0.181462	+	0.227546i
$945$	9.64772	−	33.4499i	0.313840	−	1.08813i
$946$	20.7379	−	26.0045i	0.674247	−	0.845479i
$947$	−2.12708	−	1.02435i	−0.0691208	−	0.0332868i	0.399004	−	0.916949i	$-0.369356\pi$
$947$	−2.12708	−	1.02435i	−0.0691208	−	0.0332868i	−0.468125	+	0.883662i	$0.655070\pi$
$948$	0.0143850	+	0.0630247i	0.000467203	+	0.00204695i
$949$	9.82637			0.318977
$950$	3.18781			0.103426
$951$	4.98662	+	21.8478i	0.161702	+	0.708464i
$952$	−7.08414	−	41.7708i	−0.229598	−	1.35380i
$953$	−6.49860	+	28.4722i	−0.210510	+	0.922305i	0.753711	+	0.657206i	$0.228262\pi$
$953$	−6.49860	+	28.4722i	−0.210510	+	0.922305i	−0.964221	+	0.265099i	$0.914595\pi$
$954$	−0.431043	+	1.88852i	−0.0139555	+	0.0611432i
$955$	−27.3626	+	34.3116i	−0.885432	+	1.11030i
$956$	18.4366	−	23.1188i	0.596282	−	0.747714i
$957$	11.6646	−	51.1060i	0.377064	−	1.65202i
$958$	3.15669	−	13.8304i	0.101988	−	0.446838i
$959$	6.51407	+	9.18662i	0.210350	+	0.296651i
$960$	1.69247	+	7.41519i	0.0546242	+	0.239324i
$961$	−15.2977			−0.493475
$962$	5.85374			0.188732
$963$	−0.883327	−	3.87011i	−0.0284648	−	0.124713i
$964$	33.7729	+	16.2642i	1.08775	+	0.523833i
$965$	1.63629	−	2.05185i	0.0526741	−	0.0660513i
$966$	22.8742	−	9.46669i	0.735965	−	0.304586i
$967$	−13.8191	−	17.3286i	−0.444393	−	0.557251i	0.508302	−	0.861179i	$-0.330273\pi$
$967$	−13.8191	−	17.3286i	−0.444393	−	0.557251i	−0.952695	+	0.303928i	$0.901702\pi$
$968$	−6.31682	−	27.6758i	−0.203030	−	0.889534i
$969$	16.6938	+	20.9334i	0.536283	+	0.672478i
$970$	12.3160	+	5.93107i	0.395442	+	0.190435i
$971$	18.0547	−	22.6399i	0.579403	−	0.726549i	−0.402608	−	0.915373i	$-0.631896\pi$
$971$	18.0547	−	22.6399i	0.579403	−	0.726549i	0.982011	+	0.188824i	$0.0604675\pi$
$972$	−3.09563	+	1.49078i	−0.0992924	+	0.0478167i
$973$	7.65337	+	0.432127i	0.245356	+	0.0138534i
$974$	−9.16352	−	4.41292i	−0.293618	−	0.141399i
$975$	−3.16808	+	1.52567i	−0.101460	+	0.0488605i
$976$	−0.392887	+	1.72135i	−0.0125760	+	0.0550990i
$977$	−29.0739	+	14.0012i	−0.930156	+	0.447940i	−0.836686	−	0.547682i	$-0.815510\pi$
$977$	−29.0739	+	14.0012i	−0.930156	+	0.447940i	−0.0934700	+	0.995622i	$0.529796\pi$
$978$	0.524096	+	0.657196i	0.0167588	+	0.0210148i
$979$	−80.0205			−2.55747
$980$	19.6148	−	19.5911i	0.626571	−	0.625813i
$981$	−2.03383			−0.0649352
$982$	−7.72271	−	9.68397i	−0.246442	−	0.309028i
$983$	29.8334	−	14.3670i	0.951538	−	0.458236i	0.107313	−	0.994225i	$-0.465775\pi$
$983$	29.8334	−	14.3670i	0.951538	−	0.458236i	0.844225	+	0.535989i	$0.180061\pi$
$984$	7.48300	−	32.7851i	0.238549	−	1.04515i
$985$	51.8786	−	24.9834i	1.65299	−	0.796039i
$986$	25.3858	+	12.2252i	0.808449	+	0.389329i
$987$	6.21467	+	8.76437i	0.197815	+	0.278973i
$988$	−3.11602	+	1.50060i	−0.0991337	+	0.0477403i
$989$	45.7228	−	57.3345i	1.45390	−	1.82313i
$990$	−1.75620	−	0.845743i	−0.0558158	−	0.0268795i
$991$	−10.1300	−	12.7026i	−0.321791	−	0.403513i	0.594455	−	0.804129i	$-0.297368\pi$
$991$	−10.1300	−	12.7026i	−0.321791	−	0.403513i	−0.916246	+	0.400616i	$0.868796\pi$
$992$	−5.14290	−	22.5325i	−0.163287	−	0.715408i
$993$	−25.0456	−	31.4062i	−0.794798	−	0.996645i
$994$	−27.8385	−	1.57183i	−0.882985	−	0.0498553i
$995$	−11.0147	+	13.8120i	−0.349190	+	0.437871i
$996$	1.30489	+	0.628401i	0.0413470	+	0.0199116i
$997$	8.33937	+	36.5371i	0.264110	+	1.15714i	0.916746	+	0.399471i	$0.130806\pi$
$997$	8.33937	+	36.5371i	0.264110	+	1.15714i	−0.652635	+	0.757672i	$0.726337\pi$
$998$	7.39347			0.234036
$999$	41.3433			1.30804

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.547.11	yes	174
49.43	even	7	inner	637.2.w.b.92.11	✓	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.11	✓	174	49.43	even	7	inner
637.2.w.b.547.11	yes	174	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.440322 - 0.552147i) q^{2} +(-1.61690 + 0.778657i) q^{3} +(0.334060 - 1.46361i) q^{4} +(2.37681 - 1.14461i) q^{5} +(1.14189 + 0.549905i) q^{6} +(2.31524 + 1.28050i) q^{7} +(-2.22779 + 1.07285i) q^{8} +(0.137583 - 0.172524i) q^{9} +O(q^{10})\)	\(q+(-0.440322 - 0.552147i) q^{2} +(-1.61690 + 0.778657i) q^{3} +(0.334060 - 1.46361i) q^{4} +(2.37681 - 1.14461i) q^{5} +(1.14189 + 0.549905i) q^{6} +(2.31524 + 1.28050i) q^{7} +(-2.22779 + 1.07285i) q^{8} +(0.137583 - 0.172524i) q^{9} +(-1.67856 - 0.808350i) q^{10} +(2.95619 + 3.70695i) q^{11} +(0.599511 + 2.62663i) q^{12} +(0.623490 + 0.781831i) q^{13} +(-0.312426 - 1.84218i) q^{14} +(-2.95180 + 3.70144i) q^{15} +(-1.13185 - 0.545068i) q^{16} +(1.44108 + 6.31378i) q^{17} -0.155839 q^{18} -2.30376 q^{19} +(-0.881269 - 3.86109i) q^{20} +(-4.74057 - 0.267664i) q^{21} +(0.745102 - 3.26451i) q^{22} +(1.64280 - 7.19756i) q^{23} +(2.76673 - 3.46937i) q^{24} +(1.22164 - 1.53189i) q^{25} +(0.157149 - 0.688516i) q^{26} +(1.10990 - 4.86280i) q^{27} +(2.64758 - 2.96084i) q^{28} +(1.37086 + 6.00614i) q^{29} +3.34348 q^{30} -3.96261 q^{31} +(1.29786 + 5.68628i) q^{32} +(-7.66631 - 3.69190i) q^{33} +(2.85159 - 3.57578i) q^{34} +(6.96855 + 0.393460i) q^{35} +(-0.206547 - 0.259001i) q^{36} +(1.84443 + 8.08099i) q^{37} +(1.01440 + 1.27201i) q^{38} +(-1.61690 - 0.778657i) q^{39} +(-4.06704 + 5.09991i) q^{40} +(6.82774 - 3.28807i) q^{41} +(1.93959 + 2.73535i) q^{42} +(8.94953 + 4.30987i) q^{43} +(6.41308 - 3.08838i) q^{44} +(0.129536 - 0.567535i) q^{45} +(-4.69747 + 2.26218i) q^{46} +(-1.41084 - 1.76914i) q^{47} +2.25450 q^{48} +(3.72064 + 5.92932i) q^{49} -1.38374 q^{50} +(-7.24635 - 9.08663i) q^{51} +(1.35258 - 0.651368i) q^{52} +(2.76595 - 12.1184i) q^{53} +(-3.17369 + 1.52837i) q^{54} +(11.2693 + 5.42702i) q^{55} +(-6.53164 - 0.368792i) q^{56} +(3.72494 - 1.79384i) q^{57} +(2.71265 - 3.40156i) q^{58} +(-6.41320 - 3.08843i) q^{59} +(4.43139 + 5.55679i) q^{60} +(-0.312745 - 1.37022i) q^{61} +(1.74482 + 2.18794i) q^{62} +(0.539454 - 0.223258i) q^{63} +(1.00166 - 1.25605i) q^{64} +(2.37681 + 1.14461i) q^{65} +(1.33718 + 5.85855i) q^{66} -2.39670 q^{67} +9.72232 q^{68} +(2.94820 + 12.9169i) q^{69} +(-2.85116 - 4.02091i) q^{70} +(3.32061 - 14.5485i) q^{71} +(-0.121415 + 0.531952i) q^{72} +(6.12664 - 7.68256i) q^{73} +(3.64974 - 4.57663i) q^{74} +(-0.782451 + 3.42814i) q^{75} +(-0.769593 + 3.37181i) q^{76} +(2.09754 + 12.3679i) q^{77} +(0.282023 + 1.23562i) q^{78} +0.0239945 q^{79} -3.31407 q^{80} +(2.13916 + 9.37228i) q^{81} +(-4.82190 - 2.32211i) q^{82} +(0.335171 - 0.420292i) q^{83} +(-1.97539 + 6.84894i) q^{84} +(10.6520 + 13.3572i) q^{85} +(-1.56100 - 6.83918i) q^{86} +(-6.89327 - 8.64389i) q^{87} +(-10.5628 - 5.08676i) q^{88} +(-10.5227 + 13.1950i) q^{89} +(-0.370400 + 0.178375i) q^{90} +(0.442391 + 2.60850i) q^{91} +(-9.98563 - 4.80883i) q^{92} +(6.40713 - 3.08551i) q^{93} +(-0.355600 + 1.55798i) q^{94} +(-5.47560 + 2.63691i) q^{95} +(-6.52616 - 8.18355i) q^{96} -7.33725 q^{97} +(1.63558 - 4.66515i) q^{98} +1.04626 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Introduction

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