LMFDB - Embedded newform 252.2.n.b.187.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			187.4
Character	$\chi$	$=$	252.187
Dual form			252.2.n.b.31.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38558 - 0.283143i) q^{2} +(0.385748 - 1.68855i) q^{3} +(1.83966 + 0.784633i) q^{4} -3.94623i q^{5} +(-1.01258 + 2.23040i) q^{6} +(2.37341 - 1.16916i) q^{7} +(-2.32683 - 1.60806i) q^{8} +(-2.70240 - 1.30271i) q^{9} +O(q^{10})$	\(q+(-1.38558 - 0.283143i) q^{2} +(0.385748 - 1.68855i) q^{3} +(1.83966 + 0.784633i) q^{4} -3.94623i q^{5} +(-1.01258 + 2.23040i) q^{6} +(2.37341 - 1.16916i) q^{7} +(-2.32683 - 1.60806i) q^{8} +(-2.70240 - 1.30271i) q^{9} +(-1.11734 + 5.46781i) q^{10} +4.89244i q^{11} +(2.03454 - 2.80369i) q^{12} +(1.13829 - 0.657191i) q^{13} +(-3.61959 + 0.947947i) q^{14} +(-6.66340 - 1.52225i) q^{15} +(2.76870 + 2.88692i) q^{16} +(1.67931 - 0.969547i) q^{17} +(3.37553 + 2.57017i) q^{18} +(-1.49477 + 2.58902i) q^{19} +(3.09634 - 7.25972i) q^{20} +(-1.05864 - 4.45862i) q^{21} +(1.38526 - 6.77887i) q^{22} -3.37433i q^{23} +(-3.61286 + 3.30867i) q^{24} -10.5727 q^{25} +(-1.76327 + 0.588292i) q^{26} +(-3.24213 + 4.06061i) q^{27} +(5.28363 - 0.288597i) q^{28} +(-1.32976 + 2.30322i) q^{29} +(8.80165 + 3.99589i) q^{30} +(0.443302 - 0.767822i) q^{31} +(-3.01885 - 4.78399i) q^{32} +(8.26113 + 1.88725i) q^{33} +(-2.60133 + 0.867902i) q^{34} +(-4.61376 - 9.36601i) q^{35} +(-3.94934 - 4.51693i) q^{36} +(0.237205 - 0.410852i) q^{37} +(2.80419 - 3.16406i) q^{38} +(-0.670607 - 2.17556i) q^{39} +(-6.34576 + 9.18221i) q^{40} +(8.79016 - 5.07500i) q^{41} +(0.204407 + 6.47752i) q^{42} +(-2.31047 - 1.33395i) q^{43} +(-3.83877 + 9.00043i) q^{44} +(-5.14078 + 10.6643i) q^{45} +(-0.955417 + 4.67540i) q^{46} +(1.23083 + 2.13186i) q^{47} +(5.94272 - 3.56147i) q^{48} +(4.26614 - 5.54978i) q^{49} +(14.6493 + 2.99358i) q^{50} +(-0.989340 - 3.20959i) q^{51} +(2.60972 - 0.315870i) q^{52} +(6.34427 + 10.9886i) q^{53} +(5.64196 - 4.70832i) q^{54} +19.3067 q^{55} +(-7.40260 - 1.09615i) q^{56} +(3.79508 + 3.52270i) q^{57} +(2.49463 - 2.81478i) q^{58} +(-3.49742 + 6.05771i) q^{59} +(-11.0640 - 8.02874i) q^{60} +(2.05369 - 1.18570i) q^{61} +(-0.831634 + 0.938361i) q^{62} +(-7.93697 + 0.0676656i) q^{63} +(2.82830 + 7.48336i) q^{64} +(-2.59342 - 4.49194i) q^{65} +(-10.9121 - 4.95401i) q^{66} +(1.20793 + 0.697399i) q^{67} +(3.85009 - 0.465999i) q^{68} +(-5.69773 - 1.30164i) q^{69} +(3.74081 + 14.2837i) q^{70} +2.15535i q^{71} +(4.19319 + 7.37680i) q^{72} +(3.96915 - 2.29159i) q^{73} +(-0.444996 + 0.502105i) q^{74} +(-4.07840 + 17.8525i) q^{75} +(-4.78130 + 3.59007i) q^{76} +(5.72003 + 11.6118i) q^{77} +(0.313184 + 3.20430i) q^{78} +(8.70741 - 5.02722i) q^{79} +(11.3924 - 10.9259i) q^{80} +(5.60590 + 7.04087i) q^{81} +(-13.6164 + 4.54295i) q^{82} +(-1.29635 + 2.24535i) q^{83} +(1.55084 - 9.03299i) q^{84} +(-3.82605 - 6.62692i) q^{85} +(2.82365 + 2.50249i) q^{86} +(3.37615 + 3.13384i) q^{87} +(7.86733 - 11.3839i) q^{88} +(-11.6706 - 6.73801i) q^{89} +(10.1425 - 13.3206i) q^{90} +(1.93326 - 2.89062i) q^{91} +(2.64761 - 6.20762i) q^{92} +(-1.12550 - 1.04472i) q^{93} +(-1.10179 - 3.30236i) q^{94} +(10.2169 + 5.89870i) q^{95} +(-9.24252 + 3.25206i) q^{96} +(1.88401 + 1.08773i) q^{97} +(-7.48246 + 6.48173i) q^{98} +(6.37343 - 13.2213i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

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 $

$2$	−1.38558	−	0.283143i	−0.979753	−	0.200212i
$2$	−1.38558	−	0.283143i	−0.979753	−	0.200212i
$3$	0.385748	−	1.68855i	0.222712	−	0.974884i
$3$	0.385748	−	1.68855i	0.222712	−	0.974884i
$4$	1.83966	+	0.784633i	0.919830	+	0.392317i
$5$		−	3.94623i		−	1.76481i	−0.470494	−	0.882403i	$-0.655924\pi$
$5$		−	3.94623i		−	1.76481i	0.470494	−	0.882403i	$-0.344076\pi$
$6$	−1.01258	+	2.23040i	−0.413386	+	0.910556i
$7$	2.37341	−	1.16916i	0.897064	−	0.441900i
$7$	2.37341	−	1.16916i	0.897064	−	0.441900i
$8$	−2.32683	−	1.60806i	−0.822660	−	0.568534i
$9$	−2.70240	−	1.30271i	−0.900799	−	0.434236i
$10$	−1.11734	+	5.46781i	−0.353335	+	1.72907i
$11$			4.89244i			1.47513i	0.675278	+	0.737563i	$0.264024\pi$
$11$			4.89244i			1.47513i	−0.675278	+	0.737563i	$0.735976\pi$
$12$	2.03454	−	2.80369i	0.587320	−	0.809355i
$13$	1.13829	−	0.657191i	0.315704	−	0.182272i	−0.333772	−	0.942654i	$-0.608322\pi$
$13$	1.13829	−	0.657191i	0.315704	−	0.182272i	0.649476	+	0.760382i	$0.274988\pi$
$14$	−3.61959	+	0.947947i	−0.967375	+	0.253349i
$15$	−6.66340	−	1.52225i	−1.72048	−	0.393043i
$16$	2.76870	+	2.88692i	0.692175	+	0.721729i
$17$	1.67931	−	0.969547i	0.407291	−	0.235150i	−0.282334	−	0.959316i	$-0.591109\pi$
$17$	1.67931	−	0.969547i	0.407291	−	0.235150i	0.689625	+	0.724166i	$0.257775\pi$
$18$	3.37553	+	2.57017i	0.795621	+	0.605795i
$19$	−1.49477	+	2.58902i	−0.342924	+	0.593962i	−0.984974	−	0.172701i	$-0.944751\pi$
$19$	−1.49477	+	2.58902i	−0.342924	+	0.593962i	0.642050	+	0.766662i	$0.278084\pi$
$20$	3.09634	−	7.25972i	0.692363	−	1.62332i
$21$	−1.05864	−	4.45862i	−0.231015	−	0.972950i
$22$	1.38526	−	6.77887i	0.295338	−	1.44526i
$23$		−	3.37433i		−	0.703597i	−0.936076	−	0.351798i	$-0.885570\pi$
$23$		−	3.37433i		−	0.703597i	0.936076	−	0.351798i	$-0.114430\pi$
$24$	−3.61286	+	3.30867i	−0.737471	+	0.675379i
$25$	−10.5727			−2.11454
$26$	−1.76327	+	0.588292i	−0.345805	+	0.115374i
$27$	−3.24213	+	4.06061i	−0.623949	+	0.781465i
$28$	5.28363	−	0.288597i	0.998512	−	0.0545397i
$29$	−1.32976	+	2.30322i	−0.246931	+	0.427697i	−0.962673	−	0.270668i	$-0.912755\pi$
$29$	−1.32976	+	2.30322i	−0.246931	+	0.427697i	0.715742	+	0.698365i	$0.246089\pi$
$30$	8.80165	+	3.99589i	1.60695	+	0.729546i
$31$	0.443302	−	0.767822i	0.0796195	−	0.137905i	−0.823466	−	0.567365i	$-0.807963\pi$
$31$	0.443302	−	0.767822i	0.0796195	−	0.137905i	0.903086	+	0.429460i	$0.141296\pi$
$32$	−3.01885	−	4.78399i	−0.533662	−	0.845698i
$33$	8.26113	+	1.88725i	1.43808	+	0.328528i
$34$	−2.60133	+	0.867902i	−0.446125	+	0.148844i
$35$	−4.61376	−	9.36601i	−0.779868	−	1.58314i
$36$	−3.94934	−	4.51693i	−0.658224	−	0.752822i
$37$	0.237205	−	0.410852i	0.0389963	−	0.0675436i	−0.845869	−	0.533391i	$-0.820917\pi$
$37$	0.237205	−	0.410852i	0.0389963	−	0.0675436i	0.884865	+	0.465848i	$0.154251\pi$
$38$	2.80419	−	3.16406i	0.454899	−	0.513278i
$39$	−0.670607	−	2.17556i	−0.107383	−	0.348369i
$40$	−6.34576	+	9.18221i	−1.00335	+	1.45183i
$41$	8.79016	−	5.07500i	1.37279	−	0.792582i	0.381514	−	0.924363i	$-0.375403\pi$
$41$	8.79016	−	5.07500i	1.37279	−	0.792582i	0.991279	+	0.131781i	$0.0420696\pi$
$42$	0.204407	+	6.47752i	0.0315408	+	0.999502i
$43$	−2.31047	−	1.33395i	−0.352344	−	0.203426i	0.313373	−	0.949630i	$-0.398541\pi$
$43$	−2.31047	−	1.33395i	−0.352344	−	0.203426i	−0.665717	+	0.746204i	$0.731874\pi$
$44$	−3.83877	+	9.00043i	−0.578717	+	1.35687i
$45$	−5.14078	+	10.6643i	−0.766343	+	1.58974i
$46$	−0.955417	+	4.67540i	−0.140869	+	0.689351i
$47$	1.23083	+	2.13186i	0.179535	+	0.310963i	0.941721	−	0.336394i	$-0.109207\pi$
$47$	1.23083	+	2.13186i	0.179535	+	0.310963i	−0.762186	+	0.647358i	$0.775874\pi$
$48$	5.94272	−	3.56147i	0.857758	−	0.514053i
$49$	4.26614	−	5.54978i	0.609449	−	0.792825i
$50$	14.6493	+	2.99358i	2.07173	+	0.423356i
$51$	−0.989340	−	3.20959i	−0.138535	−	0.449433i
$52$	2.60972	−	0.315870i	0.361903	−	0.0438032i
$53$	6.34427	+	10.9886i	0.871453	+	1.50940i	0.860494	+	0.509460i	$0.170155\pi$
$53$	6.34427	+	10.9886i	0.871453	+	1.50940i	0.0109585	+	0.999940i	$0.496512\pi$
$54$	5.64196	−	4.70832i	0.767774	−	0.640721i
$55$	19.3067			2.60331
$56$	−7.40260	−	1.09615i	−0.989214	−	0.146479i
$57$	3.79508	+	3.52270i	0.502671	+	0.466594i
$58$	2.49463	−	2.81478i	0.327562	−	0.369599i
$59$	−3.49742	+	6.05771i	−0.455325	+	0.788646i	−0.998707	−	0.0508394i	$-0.983810\pi$
$59$	−3.49742	+	6.05771i	−0.455325	+	0.788646i	0.543382	+	0.839486i	$0.317144\pi$
$60$	−11.0640	−	8.02874i	−1.42835	−	1.03651i
$61$	2.05369	−	1.18570i	0.262948	−	0.151813i	−0.362731	−	0.931894i	$-0.618156\pi$
$61$	2.05369	−	1.18570i	0.262948	−	0.151813i	0.625679	+	0.780081i	$0.284822\pi$
$62$	−0.831634	+	0.938361i	−0.105618	+	0.119172i
$63$	−7.93697	+	0.0676656i	−0.999964	+	0.00852507i
$64$	2.82830	+	7.48336i	0.353538	+	0.935420i
$65$	−2.59342	−	4.49194i	−0.321675	−	0.557157i
$66$	−10.9121	−	4.95401i	−1.34319	−	0.609797i
$67$	1.20793	+	0.697399i	0.147572	+	0.0852008i	0.571968	−	0.820276i	$-0.306180\pi$
$67$	1.20793	+	0.697399i	0.147572	+	0.0852008i	−0.424396	+	0.905477i	$0.639513\pi$
$68$	3.85009	−	0.465999i	0.466892	−	0.0565107i
$69$	−5.69773	−	1.30164i	−0.685925	−	0.156699i
$70$	3.74081	+	14.2837i	0.447113	+	1.70723i
$71$			2.15535i			0.255793i	0.991788	+	0.127896i	$0.0408225\pi$
$71$			2.15535i			0.255793i	−0.991788	+	0.127896i	$0.959177\pi$
$72$	4.19319	+	7.37680i	0.494173	+	0.869364i
$73$	3.96915	−	2.29159i	0.464554	−	0.268210i	−0.249403	−	0.968400i	$-0.580234\pi$
$73$	3.96915	−	2.29159i	0.464554	−	0.268210i	0.713957	+	0.700189i	$0.246901\pi$
$74$	−0.444996	+	0.502105i	−0.0517298	+	0.0583685i
$75$	−4.07840	+	17.8525i	−0.470933	+	2.06143i
$76$	−4.78130	+	3.59007i	−0.548453	+	0.411809i
$77$	5.72003	+	11.6118i	0.651858	+	1.32328i
$78$	0.313184	+	3.20430i	0.0354611	+	0.362815i
$79$	8.70741	−	5.02722i	0.979660	−	0.565607i	0.0774925	−	0.996993i	$-0.475309\pi$
$79$	8.70741	−	5.02722i	0.979660	−	0.565607i	0.902167	+	0.431386i	$0.141975\pi$
$80$	11.3924	−	10.9259i	1.27371	−	1.22156i
$81$	5.60590	+	7.04087i	0.622878	+	0.782319i
$82$	−13.6164	+	4.54295i	−1.50368	+	0.501685i
$83$	−1.29635	+	2.24535i	−0.142293	+	0.246459i	−0.928360	−	0.371683i	$-0.878781\pi$
$83$	−1.29635	+	2.24535i	−0.142293	+	0.246459i	0.786067	+	0.618142i	$0.212114\pi$
$84$	1.55084	−	9.03299i	0.169210	−	0.985580i
$85$	−3.82605	−	6.62692i	−0.414994	−	0.718790i
$86$	2.82365	+	2.50249i	0.304481	+	0.269850i
$87$	3.37615	+	3.13384i	0.361961	+	0.335982i
$88$	7.86733	−	11.3839i	0.838660	−	1.21353i
$89$	−11.6706	−	6.73801i	−1.23708	−	0.714227i	−0.268582	−	0.963257i	$-0.586555\pi$
$89$	−11.6706	−	6.73801i	−1.23708	−	0.714227i	−0.968496	+	0.249029i	$0.919888\pi$
$90$	10.1425	−	13.3206i	1.06911	−	1.40412i
$91$	1.93326	−	2.89062i	0.202661	−	0.303019i
$92$	2.64761	−	6.20762i	0.276033	−	0.647190i
$93$	−1.12550	−	1.04472i	−0.116709	−	0.108333i
$94$	−1.10179	−	3.30236i	−0.113641	−	0.340612i
$95$	10.2169	+	5.89870i	1.04823	+	0.605194i
$96$	−9.24252	+	3.25206i	−0.943310	+	0.331912i
$97$	1.88401	+	1.08773i	0.191292	+	0.110442i	0.592587	−	0.805506i	$-0.298107\pi$
$97$	1.88401	+	1.08773i	0.191292	+	0.110442i	−0.401295	+	0.915949i	$0.631440\pi$
$98$	−7.48246	+	6.48173i	−0.755842	+	0.654754i
$99$	6.37343	−	13.2213i	0.640553	−	1.32879i
$100$	−19.4502	−	8.29569i	−1.94502	−	0.829569i
$101$			0.713750i			0.0710208i	0.999369	+	0.0355104i	$0.0113057\pi$
$101$			0.713750i			0.0710208i	−0.999369	+	0.0355104i	$0.988694\pi$
$102$	0.462037	+	4.72727i	0.0457485	+	0.468069i
$103$	−1.16468			−0.114760			−0.0573798	−	0.998352i	$-0.518275\pi$
$103$	−1.16468			−0.114760			−0.0573798	+	0.998352i	$0.518275\pi$
$104$	−3.70541	−	0.301260i	−0.363345	−	0.0295409i
$105$	−17.5947	+	4.17764i	−1.71707	+	0.407696i
$106$	−5.67915	−	17.0219i	−0.551608	−	1.65331i
$107$	10.5529	+	6.09270i	1.02018	+	0.589004i	0.914157	−	0.405360i	$-0.132854\pi$
$107$	10.5529	+	6.09270i	1.02018	+	0.589004i	0.106027	+	0.994363i	$0.466187\pi$
$108$	−9.15051	+	4.92626i	−0.880509	+	0.474030i
$109$	−4.74875	−	8.22508i	−0.454848	−	0.787820i	0.543832	−	0.839194i	$-0.316973\pi$
$109$	−4.74875	−	8.22508i	−0.454848	−	0.787820i	−0.998679	+	0.0513747i	$0.983640\pi$
$110$	−26.7509	−	5.46654i	−2.55060	−	0.521214i
$111$	−0.602242	−	0.559018i	−0.0571622	−	0.0530596i
$112$	9.94652	+	3.61479i	0.939858	+	0.341565i
$113$	−6.24802	−	10.8219i	−0.587764	−	1.01804i	−0.994525	−	0.104502i	$-0.966675\pi$
$113$	−6.24802	−	10.8219i	−0.587764	−	1.01804i	0.406761	−	0.913535i	$-0.366658\pi$
$114$	−4.26096	−	5.95554i	−0.399075	−	0.557787i
$115$	−13.3159			−1.24171
$116$	−4.25350	+	3.19377i	−0.394927	+	0.296534i
$117$	−3.93223	+	0.293133i	−0.363535	+	0.0271001i
$118$	6.56115	−	7.40317i	0.604003	−	0.681517i
$119$	2.85213	−	4.26450i	0.261454	−	0.390927i
$120$	13.0567	+	14.2571i	1.19191	+	1.30149i
$121$	−12.9360			−1.17600
$122$	−3.18127	+	1.06139i	−0.288019	+	0.0960939i
$123$	−5.17860	−	16.8003i	−0.466939	−	1.51483i
$124$	1.41798	−	1.06470i	0.127339	−	0.0956131i
$125$			21.9911i			1.96695i
$126$	11.0165	+	2.15354i	0.981424	+	0.191852i
$127$		−	6.01418i		−	0.533672i	−0.963742	−	0.266836i	$-0.914022\pi$
$127$		−	6.01418i		−	0.533672i	0.963742	−	0.266836i	$-0.0859782\pi$
$128$	−1.79998	−	11.1696i	−0.159097	−	0.987263i
$129$	−3.14370	+	3.38678i	−0.276788	+	0.298189i
$130$	2.32153	+	6.95825i	0.203612	+	0.610279i
$131$	1.99858			0.174617			0.0873085	−	0.996181i	$-0.472173\pi$
$131$	1.99858			0.174617			0.0873085	+	0.996181i	$0.472173\pi$
$132$	13.7169	+	9.95385i	1.19390	+	0.866372i
$133$	−0.520732	+	7.89243i	−0.0451532	+	0.684360i
$134$	−1.47622	−	1.30832i	−0.127526	−	0.113021i
$135$	16.0241	+	12.7942i	1.37913	+	1.10115i
$136$	−5.46655	−	0.444445i	−0.468753	−	0.0381109i
$137$	10.0616			0.859622			0.429811	−	0.902919i	$-0.358580\pi$
$137$	10.0616			0.859622			0.429811	+	0.902919i	$0.358580\pi$
$138$	7.52610	+	3.41680i	0.640664	+	0.290857i
$139$	−8.02010	−	13.8912i	−0.680256	−	1.17824i	−0.974903	−	0.222631i	$-0.928535\pi$
$139$	−8.02010	−	13.8912i	−0.680256	−	1.17824i	0.294647	−	0.955606i	$-0.404798\pi$
$140$	−1.13887	−	20.8504i	−0.0962520	−	1.76218i
$141$	4.07454	−	1.25596i	0.343138	−	0.105771i
$142$	0.610271	−	2.98641i	0.0512128	−	0.250614i
$143$	3.21527	+	5.56901i	0.268874	+	0.465704i
$144$	−3.72132	−	11.4084i	−0.310110	−	0.950701i
$145$	9.08903	+	5.24755i	0.754803	+	0.435785i
$146$	−6.14842	+	2.05135i	−0.508847	+	0.169771i
$147$	−7.72542	−	9.34441i	−0.637182	−	0.770714i
$148$	0.758745	−	0.569708i	0.0623684	−	0.0468297i
$149$	9.69055			0.793881			0.396940	−	0.917844i	$-0.370072\pi$
$149$	9.69055			0.793881			0.396940	+	0.917844i	$0.370072\pi$
$150$	10.7058	−	23.5813i	0.874121	−	1.92541i
$151$			16.5476i			1.34663i	0.739357	+	0.673314i	$0.235130\pi$
$151$			16.5476i			1.34663i	−0.739357	+	0.673314i	$0.764870\pi$
$152$	7.64138	−	3.62054i	0.619797	−	0.293664i
$153$	−5.80119	+	0.432456i	−0.468998	+	0.0349620i
$154$	−4.63777	−	17.7086i	−0.373723	−	1.42700i
$155$	−3.03000	−	1.74937i	−0.243375	−	0.140513i
$156$	0.473332	−	4.52848i	0.0378969	−	0.362569i
$157$	11.3438	+	6.54936i	0.905335	+	0.522696i	0.878927	−	0.476956i	$-0.158260\pi$
$157$	11.3438	+	6.54936i	0.905335	+	0.522696i	0.0264079	+	0.999651i	$0.491593\pi$
$158$	−13.4882	+	4.50018i	−1.07307	+	0.358015i
$159$	21.0021	−	6.47378i	1.66557	−	0.513404i
$160$	−18.8787	+	11.9131i	−1.49249	+	0.941809i
$161$	−3.94512	−	8.00867i	−0.310919	−	0.631172i
$162$	−5.77385	−	11.3430i	−0.453636	−	0.891187i
$163$	−6.95666	−	4.01643i	−0.544888	−	0.314591i	0.202170	−	0.979350i	$-0.435201\pi$
$163$	−6.95666	−	4.01643i	−0.544888	−	0.314591i	−0.747057	+	0.664759i	$0.768534\pi$
$164$	20.1529	−	2.43923i	1.57368	−	0.190472i
$165$	7.44751	−	32.6003i	0.579788	−	2.53793i
$166$	2.43195	−	2.74405i	0.188756	−	0.212980i
$167$	4.83680	+	8.37758i	0.374283	+	0.648277i	0.990219	−	0.139519i	$-0.0445556\pi$
$167$	4.83680	+	8.37758i	0.374283	+	0.648277i	−0.615937	+	0.787796i	$0.711222\pi$
$168$	−4.70643	+	12.0768i	−0.363109	+	0.931747i
$169$	−5.63620	+	9.76219i	−0.433554	+	0.750937i
$170$	3.42494	+	10.2654i	0.262681	+	0.787323i
$171$	7.41220	−	5.04931i	0.566825	−	0.386130i
$172$	−3.20382	−	4.26689i	−0.244289	−	0.325348i
$173$	14.1923	−	8.19394i	1.07902	−	0.622974i	0.148390	−	0.988929i	$-0.452591\pi$
$173$	14.1923	−	8.19394i	1.07902	−	0.622974i	0.930633	+	0.365955i	$0.119258\pi$
$174$	−3.79060	−	5.29811i	−0.287364	−	0.401649i
$175$	−25.0933	+	12.3611i	−1.89688	+	0.934415i
$176$	−14.1241	+	13.5457i	−1.06464	+	1.02105i
$177$	8.87962	+	8.24231i	0.667433	+	0.619530i
$178$	14.2627	+	12.6405i	1.06903	+	0.947444i
$179$	−16.0572	+	9.27065i	−1.20017	+	0.692921i	−0.960594	−	0.277955i	$-0.910343\pi$
$179$	−16.0572	+	9.27065i	−1.20017	+	0.692921i	−0.239581	+	0.970876i	$0.577010\pi$
$180$	−17.8248	+	15.5850i	−1.32858	+	1.16164i
$181$			23.0045i			1.70991i	0.518700	+	0.854956i	$0.326416\pi$
$181$			23.0045i			1.70991i	−0.518700	+	0.854956i	$0.673584\pi$
$182$	−3.49715	+	3.45779i	−0.259226	+	0.256309i
$183$	−1.20990	−	3.92514i	−0.0894386	−	0.290154i
$184$	−5.42612	+	7.85151i	−0.400019	+	0.578821i
$185$	−1.62131	−	0.936066i	−0.119201	−	0.0688209i
$186$	1.26367	+	1.76623i	0.0926566	+	0.129506i
$187$	4.74345	+	8.21590i	0.346876	+	0.600806i
$188$	0.591581	+	4.88764i	0.0431455	+	0.356468i
$189$	−2.94741	+	13.4281i	−0.214393	+	0.976748i
$190$	−12.4861	−	11.0660i	−0.905836	−	0.802808i
$191$	−3.41570	+	1.97206i	−0.247152	+	0.142693i	−0.618459	−	0.785817i	$-0.712243\pi$
$191$	−3.41570	+	1.97206i	−0.247152	+	0.142693i	0.371308	+	0.928510i	$0.378910\pi$
$192$	13.7270	−	1.88903i	0.990664	−	0.136329i
$193$	−2.87501	+	4.97966i	−0.206947	+	0.358443i	−0.950751	−	0.309954i	$-0.899686\pi$
$193$	−2.87501	+	4.97966i	−0.206947	+	0.358443i	0.743804	+	0.668398i	$0.233020\pi$
$194$	−2.30246	−	2.04058i	−0.165307	−	0.146505i
$195$	−8.58527	+	2.64637i	−0.614804	+	0.189510i
$196$	12.2028	−	6.86235i	0.871628	−	0.490168i
$197$	−16.6012			−1.18279			−0.591393	−	0.806384i	$-0.701422\pi$
$197$	−16.6012			−1.18279			−0.591393	+	0.806384i	$0.701422\pi$
$198$	−12.5744	+	16.5146i	−0.893624	+	1.17364i
$199$	−6.23391	−	10.7974i	−0.441910	−	0.765411i	0.555921	−	0.831235i	$-0.312366\pi$
$199$	−6.23391	−	10.7974i	−0.441910	−	0.765411i	−0.997831	+	0.0658244i	$0.979032\pi$
$200$	24.6009	+	17.0015i	1.73955	+	1.20219i
$201$	1.64355	−	1.77063i	0.115927	−	0.124891i
$202$	0.202093	−	0.988957i	0.0142192	−	0.0695828i
$203$	−0.463249	+	7.02119i	−0.0325137	+	0.492791i
$204$	0.698302	−	6.68083i	0.0488909	−	0.467751i
$205$	−20.0271	−	34.6880i	−1.39875	−	2.42271i
$206$	1.61376	+	0.329771i	0.112436	+	0.0229763i
$207$	−4.39577	+	9.11878i	−0.305527	+	0.633799i
$208$	5.04883	+	1.46658i	0.350074	+	0.101689i
$209$	−12.6666	−	7.31308i	−0.876169	−	0.505856i
$210$	25.5617	−	0.806638i	1.76393	−	0.0556633i
$211$	19.4166	−	11.2102i	1.33669	−	0.771739i	0.350376	−	0.936609i	$-0.386054\pi$
$211$	19.4166	−	11.2102i	1.33669	−	0.771739i	0.986315	+	0.164870i	$0.0527205\pi$
$212$	3.04929	+	25.1932i	0.209426	+	1.73028i
$213$	3.63941	+	0.831422i	0.249369	+	0.0569681i
$214$	−12.8967	−	11.4299i	−0.881603	−	0.781331i
$215$	−5.26408	+	9.11765i	−0.359007	+	0.621819i
$216$	14.0736	−	4.23483i	0.957587	−	0.288144i
$217$	0.154433	−	2.34065i	0.0104836	−	0.158893i
$218$	4.25090	+	12.7411i	0.287907	+	0.862934i
$219$	−2.33837	−	7.58608i	−0.158013	−	0.512620i
$220$	35.5177	+	15.1487i	2.39460	+	1.02132i
$221$	1.27436	−	2.20725i	0.0857224	−	0.148476i
$222$	0.676172	+	0.945084i	0.0453817	+	0.0634299i
$223$	−4.48502	+	7.76829i	−0.300339	+	0.520203i	−0.976213	−	0.216815i	$-0.930433\pi$
$223$	−4.48502	+	7.76829i	−0.300339	+	0.520203i	0.675873	+	0.737018i	$0.263767\pi$
$224$	−12.7582	−	7.82486i	−0.852443	−	0.522820i
$225$	28.5716	+	13.7732i	1.90478	+	0.918210i
$226$	5.59299	+	16.7637i	0.372040	+	1.11510i
$227$	−7.79377			−0.517291			−0.258645	−	0.965972i	$-0.583276\pi$
$227$	−7.79377			−0.517291			−0.258645	+	0.965972i	$0.583276\pi$
$228$	4.21763	+	9.45833i	0.279320	+	0.626393i
$229$		−	6.80092i		−	0.449417i	−0.974426	−	0.224709i	$-0.927857\pi$
$229$		−	6.80092i		−	0.449417i	0.974426	−	0.224709i	$-0.0721430\pi$
$230$	18.4502	+	3.77029i	1.21657	+	0.248606i
$231$	21.8135	−	5.17934i	1.43522	−	0.340776i
$232$	6.79785	−	3.22087i	0.446301	−	0.211460i
$233$	8.45700	−	14.6480i	0.554037	−	0.959619i	−0.443941	−	0.896056i	$-0.646420\pi$
$233$	8.45700	−	14.6480i	0.554037	−	0.959619i	0.997978	−	0.0635635i	$-0.0202466\pi$
$234$	5.53142	+	0.707224i	0.361600	+	0.0462327i
$235$	8.41279	−	4.85713i	0.548790	−	0.316844i
$236$	−11.1871	+	8.39994i	−0.728221	+	0.546789i
$237$	−5.12985	−	16.6421i	−0.333220	−	1.08102i
$238$	−5.15931	+	5.10125i	−0.334428	+	0.330665i
$239$	−16.8495	+	9.72804i	−1.08990	+	0.629254i	−0.933550	−	0.358447i	$-0.883306\pi$
$239$	−16.8495	+	9.72804i	−1.08990	+	0.629254i	−0.156351	+	0.987702i	$0.549973\pi$
$240$	−14.0544	−	23.4513i	−0.907205	−	1.51378i
$241$			23.5574i			1.51747i	0.651401	+	0.758734i	$0.274182\pi$
$241$			23.5574i			1.51747i	−0.651401	+	0.758734i	$0.725818\pi$
$242$	17.9238	+	3.66273i	1.15219	+	0.235449i
$243$	14.0513	−	6.74983i	0.901393	−	0.433002i
$244$	4.70843	−	0.569889i	0.301426	−	0.0364834i
$245$	−21.9007	−	16.8352i	−1.39918	−	1.07556i
$246$	2.41849	+	24.7444i	0.154197	+	1.57765i
$247$			3.92940i			0.250022i
$248$	−2.26619	+	1.07374i	−0.143903	+	0.0681824i
$249$	3.29131	+	3.05509i	0.208578	+	0.193609i
$250$	6.22663	−	30.4705i	0.393806	−	1.92712i
$251$	4.53190			0.286051			0.143026	−	0.989719i	$-0.454317\pi$
$251$	4.53190			0.286051			0.143026	+	0.989719i	$0.454317\pi$
$252$	−14.6544	−	6.10312i	−0.923141	−	0.384461i
$253$	16.5087			1.03789
$254$	−1.70287	+	8.33312i	−0.106848	+	0.522867i
$255$	−12.6658	+	3.90416i	−0.793161	+	0.244488i
$256$	−0.668581	+	15.9860i	−0.0417863	+	0.999127i
$257$			23.8841i			1.48985i	0.667149	+	0.744924i	$0.267514\pi$
$257$			23.8841i			1.48985i	−0.667149	+	0.744924i	$0.732486\pi$
$258$	5.31479	−	3.80253i	0.330885	−	0.236735i
$259$	0.0826350	−	1.25245i	0.00513469	−	0.0778234i
$260$	−1.24649	−	10.2985i	−0.0773042	−	0.638688i
$261$	6.59398	−	4.49192i	0.408157	−	0.278043i
$262$	−2.76919	−	0.565884i	−0.171081	−	0.0349604i
$263$		−	27.2015i		−	1.67732i	−0.544656	−	0.838660i	$-0.683340\pi$
$263$		−	27.2015i		−	1.67732i	0.544656	−	0.838660i	$-0.316660\pi$
$264$	−16.1875	−	17.6757i	−0.996269	−	1.08786i
$265$	43.3635	−	25.0359i	2.66380	−	1.53794i
$266$	2.95620	−	10.7881i	0.181256	−	0.661463i
$267$	−15.8794	+	17.1072i	−0.971801	+	1.04694i
$268$	1.67498	+	2.23076i	0.102316	+	0.136265i
$269$	15.8637	−	9.15891i	0.967227	−	0.558429i	0.0688372	−	0.997628i	$-0.478071\pi$
$269$	15.8637	−	9.15891i	0.967227	−	0.558429i	0.898390	+	0.439199i	$0.144738\pi$
$270$	−18.5801	−	22.2645i	−1.13075	−	1.35497i
$271$	−0.772505	+	1.33802i	−0.0469264	+	0.0812788i	−0.888535	−	0.458810i	$-0.848276\pi$
$271$	−0.772505	+	1.33802i	−0.0469264	+	0.0812788i	0.841608	+	0.540089i	$0.181609\pi$
$272$	7.44850	+	2.16363i	0.451632	+	0.131189i
$273$	−4.13520	−	4.37946i	−0.250274	−	0.265057i
$274$	−13.9412	−	2.84887i	−0.842217	−	0.172107i
$275$		−	51.7263i		−	3.11921i
$276$	−9.46057	−	6.86520i	−0.569459	−	0.413237i
$277$	0.486092			0.0292065			0.0146032	−	0.999893i	$-0.495351\pi$
$277$	0.486092			0.0292065			0.0146032	+	0.999893i	$0.495351\pi$
$278$	7.17929	+	21.5182i	0.430585	+	1.29058i
$279$	−2.19823	+	1.49747i	−0.131604	+	0.0896510i
$280$	−4.32564	+	29.2123i	−0.258506	+	1.74577i
$281$	−13.1672	+	22.8062i	−0.785489	+	1.36051i	0.143218	+	0.989691i	$0.454255\pi$
$281$	−13.1672	+	22.8062i	−0.785489	+	1.36051i	−0.928707	+	0.370815i	$0.879078\pi$
$282$	−6.00121	+	0.586551i	−0.357367	+	0.0349286i
$283$	−8.58849	+	14.8757i	−0.510533	+	0.884268i	0.489393	+	0.872063i	$0.337218\pi$
$283$	−8.58849	+	14.8757i	−0.510533	+	0.884268i	−0.999926	+	0.0122050i	$0.996115\pi$
$284$	−1.69116	+	3.96511i	−0.100352	+	0.235286i
$285$	13.9014	−	14.9763i	0.823447	−	0.887117i
$286$	−2.87818	−	8.62668i	−0.170191	−	0.510106i
$287$	14.9292	−	22.3221i	0.881241	−	1.31763i
$288$	1.92598	+	16.8609i	0.113489	+	0.993539i
$289$	−6.61996	+	11.4661i	−0.389409	+	0.674476i
$290$	−11.1078	−	9.84439i	−0.652270	−	0.578082i
$291$	2.56344	−	2.76165i	0.150271	−	0.161891i
$292$	9.09995	−	1.10142i	0.532534	−	0.0644558i
$293$	−21.5170	+	12.4229i	−1.25704	+	0.725751i	−0.972498	−	0.232913i	$-0.925174\pi$
$293$	−21.5170	+	12.4229i	−1.25704	+	0.725751i	−0.284540	+	0.958664i	$0.591841\pi$
$294$	8.05838	+	15.1348i	0.469974	+	0.882680i
$295$	23.9051	+	13.8016i	1.39181	+	0.803561i
$296$	−1.21261	+	0.574543i	−0.0704815	+	0.0333946i
$297$	−19.8663	−	15.8619i	−1.15276	−	0.920403i
$298$	−13.4270	−	2.74381i	−0.777807	−	0.158944i
$299$	−2.21758	−	3.84096i	−0.128246	−	0.222128i
$300$	−21.5105	+	29.6425i	−1.24191	+	1.71141i
$301$	−7.04330	−	0.464708i	−0.405969	−	0.0267853i
$302$	4.68534	−	22.9281i	0.269611	−	1.31936i
$303$	1.20520	+	0.275328i	0.0692370	+	0.0158172i
$304$	−11.6129	+	2.85294i	−0.666043	+	0.163627i
$305$	−4.67903	−	8.10432i	−0.267921	−	0.464052i
$306$	8.16045	+	1.04336i	0.466502	+	0.0596450i
$307$	−32.0881			−1.83136			−0.915682	−	0.401904i	$-0.868348\pi$
$307$	−32.0881			−1.83136			−0.915682	+	0.401904i	$0.868348\pi$
$308$	1.41194	+	25.8498i	0.0804530	+	1.47293i
$309$	−0.449274	+	1.96662i	−0.0255583	+	0.111877i
$310$	3.70298	+	3.28181i	0.210315	+	0.186395i
$311$	6.52427	−	11.3004i	0.369957	−	0.640785i	−0.619601	−	0.784917i	$-0.712706\pi$
$311$	6.52427	−	11.3004i	0.369957	−	0.640785i	0.989559	+	0.144132i	$0.0460389\pi$
$312$	−1.93804	+	6.14055i	−0.109720	+	0.347640i
$313$	11.5365	−	6.66061i	0.652083	−	0.376480i	−0.137171	−	0.990547i	$-0.543801\pi$
$313$	11.5365	−	6.66061i	0.652083	−	0.376480i	0.789254	+	0.614067i	$0.210468\pi$
$314$	−13.8634	−	12.2866i	−0.782355	−	0.693371i
$315$	0.267024	+	31.3211i	0.0150451	+	1.76474i
$316$	19.9632	−	2.41627i	1.12302	−	0.135926i
$317$	9.82677	+	17.0205i	0.551927	+	0.955965i	0.998136	+	0.0610362i	$0.0194405\pi$
$317$	9.82677	+	17.0205i	0.551927	+	0.955965i	−0.446209	+	0.894929i	$0.647226\pi$
$318$	−30.9331	+	3.02336i	−1.73464	+	0.169541i
$319$	−11.2684	−	6.50579i	−0.630907	−	0.364255i
$320$	29.5310	−	11.1611i	1.65084	−	0.623925i
$321$	14.3586	−	15.4688i	0.801417	−	0.863384i
$322$	3.19869	+	12.2137i	0.178256	+	0.680642i
$323$			5.79701i			0.322554i
$324$	4.78845	+	17.3514i	0.266025	+	0.963966i
$325$	−12.0348	+	6.94828i	−0.667569	+	0.385421i
$326$	8.50178	+	7.53481i	0.470870	+	0.417314i
$327$	−15.7203	+	4.84569i	−0.869333	+	0.267967i
$328$	−28.6141	−	2.32641i	−1.57995	−	0.128454i
$329$	5.41374	+	3.62074i	0.298469	+	0.199618i
$330$	−19.5496	+	43.0616i	−1.07617	+	2.37046i
$331$	−12.4763	+	7.20320i	−0.685760	+	0.395924i	−0.802022	−	0.597295i	$-0.796242\pi$
$331$	−12.4763	+	7.20320i	−0.685760	+	0.395924i	0.116262	+	0.993219i	$0.462909\pi$
$332$	−4.14662	+	3.11351i	−0.227575	+	0.170876i
$333$	−1.17624	+	0.801275i	−0.0644577	+	0.0439096i
$334$	−4.32972	−	12.9773i	−0.236912	−	0.710087i
$335$	2.75209	−	4.76677i	0.150363	−	0.260436i
$336$	9.94060	−	15.4008i	0.542304	−	0.840182i
$337$	−0.489878	−	0.848494i	−0.0266854	−	0.0462204i	0.852374	−	0.522932i	$-0.175162\pi$
$337$	−0.489878	−	0.848494i	−0.0266854	−	0.0462204i	−0.879060	+	0.476712i	$0.841829\pi$
$338$	10.5735	−	11.9304i	0.575122	−	0.648930i
$339$	−20.6834	+	6.37556i	−1.12337	+	0.346273i
$340$	−1.83894	−	15.1933i	−0.0997305	−	0.823974i
$341$	3.75652	+	2.16883i	0.203427	+	0.117449i
$342$	−11.6999	+	4.89750i	−0.632657	+	0.264827i
$343$	3.63674	−	18.1597i	0.196365	−	0.980531i
$344$	3.23101	+	6.81926i	0.174204	+	0.367670i
$345$	−5.13657	+	22.4845i	−0.276544	+	1.21053i
$346$	−21.9847	+	7.33491i	−1.18190	+	0.394327i
$347$	−23.7580	−	13.7167i	−1.27540	−	0.736351i	−0.299399	−	0.954128i	$-0.596786\pi$
$347$	−23.7580	−	13.7167i	−1.27540	−	0.736351i	−0.975998	+	0.217777i	$0.930119\pi$
$348$	3.75205	+	8.41423i	0.201131	+	0.451050i
$349$	−13.0352	−	7.52589i	−0.697760	−	0.402852i	0.108753	−	0.994069i	$-0.465314\pi$
$349$	−13.0352	−	7.52589i	−0.697760	−	0.402852i	−0.806512	+	0.591217i	$0.798648\pi$
$350$	38.2688	−	10.0224i	2.04555	−	0.535718i
$351$	−1.02188	+	6.75285i	−0.0545441	+	0.360440i
$352$	23.4054	−	14.7695i	1.24751	−	0.787219i
$353$		−	18.5070i		−	0.985026i	−0.870305	−	0.492513i	$-0.836078\pi$
$353$		−	18.5070i		−	0.985026i	0.870305	−	0.492513i	$-0.163922\pi$
$354$	−9.96966	−	13.9346i	−0.529882	−	0.740614i
$355$	8.50550			0.451425
$356$	−16.1830	−	21.5528i	−0.857699	−	1.14229i
$357$	−6.10062	−	6.46098i	−0.322879	−	0.341951i
$358$	24.8735	−	8.29874i	1.31461	−	0.438602i
$359$	5.04854	+	2.91478i	0.266452	+	0.153836i	0.627274	−	0.778799i	$-0.284171\pi$
$359$	5.04854	+	2.91478i	0.266452	+	0.153836i	−0.360822	+	0.932635i	$0.617504\pi$
$360$	29.1105	−	16.5473i	1.53426	−	0.872119i
$361$	5.03132	+	8.71450i	0.264806	+	0.458658i
$362$	6.51356	−	31.8746i	0.342345	−	1.67529i
$363$	−4.99003	+	21.8430i	−0.261909	+	1.14646i
$364$	5.82462	−	3.80086i	0.305293	−	0.199219i
$365$	−9.04313	−	15.6632i	−0.473339	−	0.819848i
$366$	0.565043	+	5.78116i	0.0295353	+	0.302186i
$367$	1.80797			0.0943752			0.0471876	−	0.998886i	$-0.484974\pi$
$367$	1.80797			0.0943752			0.0471876	+	0.998886i	$0.484974\pi$
$368$	9.74142	−	9.34252i	0.507806	−	0.487012i
$369$	−30.3658	+	2.26365i	−1.58078	+	0.117841i
$370$	1.98142	+	1.75606i	0.103009	+	0.0912930i
$371$	27.9050	+	18.6630i	1.44875	+	0.968934i
$372$	−1.25082	−	2.80504i	−0.0648519	−	0.145435i
$373$	−5.95914			−0.308553			−0.154276	−	0.988028i	$-0.549305\pi$
$373$	−5.95914			−0.308553			−0.154276	+	0.988028i	$0.549305\pi$
$374$	−4.24616	−	12.7269i	−0.219564	−	0.658090i
$375$	37.1331	+	8.48303i	1.91755	+	0.438062i
$376$	0.564218	−	6.93972i	0.0290973	−	0.357889i
$377$			3.49564i			0.180034i
$378$	7.88593	−	17.7711i	0.405608	−	0.914047i
$379$			16.5311i			0.849146i	0.905394	+	0.424573i	$0.139576\pi$
$379$			16.5311i			0.849146i	−0.905394	+	0.424573i	$0.860424\pi$
$380$	14.1672	+	18.8681i	0.726763	+	0.967913i
$381$	−10.1552	−	2.31996i	−0.520269	−	0.118855i
$382$	5.29110	−	1.76531i	0.270716	−	0.0903212i
$383$	3.29801			0.168520			0.0842601	−	0.996444i	$-0.473147\pi$
$383$	3.29801			0.168520			0.0842601	+	0.996444i	$0.473147\pi$
$384$	−19.5548	−	1.26930i	−0.997900	−	0.0647739i
$385$	45.8226	−	22.5725i	2.33534	−	1.15040i
$386$	5.39350	−	6.08567i	0.274522	−	0.309753i
$387$	4.50606	+	6.61474i	0.229056	+	0.336246i
$388$	2.61246	+	3.47931i	0.132628	+	0.176635i
$389$	9.64882			0.489215			0.244607	−	0.969622i	$-0.421341\pi$
$389$	9.64882			0.489215			0.244607	+	0.969622i	$0.421341\pi$
$390$	12.6449	−	1.23589i	0.640298	−	0.0625819i
$391$	−3.27157	−	5.66653i	−0.165451	−	0.286569i
$392$	−18.8510	+	6.05320i	−0.952117	+	0.305733i
$393$	0.770949	−	3.37470i	0.0388892	−	0.170231i
$394$	23.0023	+	4.70050i	1.15884	+	0.236808i
$395$	−19.8386	−	34.3614i	−0.998186	−	1.72891i
$396$	22.0988	−	19.3219i	1.11051	−	0.970964i
$397$	−3.22184	−	1.86013i	−0.161700	−	0.0933573i	0.416967	−	0.908922i	$-0.363093\pi$
$397$	−3.22184	−	1.86013i	−0.161700	−	0.0933573i	−0.578666	+	0.815565i	$0.696427\pi$
$398$	5.58036	+	16.7258i	0.279718	+	0.838389i
$399$	13.1259	+	3.92377i	0.657116	+	0.196434i
$400$	−29.2727	−	30.5225i	−1.46363	−	1.52613i
$401$	−23.9720			−1.19711			−0.598553	−	0.801083i	$-0.704257\pi$
$401$	−23.9720			−1.19711			−0.598553	+	0.801083i	$0.704257\pi$
$402$	−2.77861	+	1.98799i	−0.138584	+	0.0991519i
$403$		−	1.16534i		−	0.0580496i
$404$	−0.560032	+	1.31306i	−0.0278626	+	0.0653271i
$405$	27.7849	−	22.1221i	1.38064	−	1.09926i
$406$	2.62987	−	9.59725i	0.130518	−	0.476303i
$407$	2.01007	+	1.16051i	0.0996353	+	0.0575245i
$408$	−2.85918	+	9.05910i	−0.141550	+	0.448492i
$409$	−19.1868	−	11.0775i	−0.948726	−	0.547747i	−0.0560410	−	0.998428i	$-0.517848\pi$
$409$	−19.1868	−	11.0775i	−0.948726	−	0.547747i	−0.892685	+	0.450681i	$0.851181\pi$
$410$	17.9275	+	53.7335i	0.885376	+	2.65371i
$411$	3.88125	−	16.9895i	0.191448	−	0.838032i
$412$	−2.14262	−	0.913849i	−0.105559	−	0.0450221i
$413$	−1.21839	+	18.4665i	−0.0599532	+	0.908675i
$414$	8.67261	−	11.3902i	0.426235	−	0.559796i
$415$	8.86064	+	5.11570i	0.434952	+	0.251120i
$416$	−6.58031	−	3.46160i	−0.322626	−	0.169719i
$417$	−26.5497	+	8.18382i	−1.30015	+	0.400763i
$418$	15.4800	+	13.7193i	0.757150	+	0.671034i
$419$	17.6835	+	30.6287i	0.863895	+	1.49631i	0.868140	+	0.496319i	$0.165315\pi$
$419$	17.6835	+	30.6287i	0.863895	+	1.49631i	−0.00424524	+	0.999991i	$0.501351\pi$
$420$	−35.6462	−	6.11996i	−1.73936	−	0.298623i
$421$	−15.4856	+	26.8219i	−0.754723	+	1.30722i	0.190788	+	0.981631i	$0.438896\pi$
$421$	−15.4856	+	26.8219i	−0.754723	+	1.30722i	−0.945512	+	0.325588i	$0.894438\pi$
$422$	−30.0773	+	10.0349i	−1.46414	+	0.488492i
$423$	−0.548997	−	7.36454i	−0.0266932	−	0.358076i
$424$	2.90825	−	35.7706i	0.141237	−	1.73717i
$425$	−17.7548	+	10.2507i	−0.861234	+	0.497234i
$426$	−4.80729	−	2.18247i	−0.232914	−	0.105741i
$427$	3.48798	−	5.21523i	0.168795	−	0.252383i
$428$	14.6332	+	19.4886i	0.707321	+	0.942019i
$429$	10.6438	−	3.28090i	0.513889	−	0.158404i
$430$	9.87539	−	11.1427i	0.476234	−	0.537351i
$431$	−4.22345	+	2.43841i	−0.203437	+	0.117454i	−0.598257	−	0.801304i	$-0.704140\pi$
$431$	−4.22345	+	2.43841i	−0.203437	+	0.117454i	0.394821	+	0.918758i	$0.370807\pi$
$432$	−20.6992	+	1.88286i	−0.995888	+	0.0905891i
$433$			13.0744i			0.628314i	0.949371	+	0.314157i	$0.101722\pi$
$433$			13.0744i			0.628314i	−0.949371	+	0.314157i	$0.898278\pi$
$434$	−0.876716	+	3.19942i	−0.0420837	+	0.153577i
$435$	12.3668	−	13.3230i	0.592944	−	0.638791i
$436$	−2.28242	−	18.8574i	−0.109308	−	0.903105i
$437$	8.73621	+	5.04385i	0.417910	+	0.241280i
$438$	1.09206	+	11.1732i	0.0521804	+	0.533877i
$439$	0.958667	+	1.66046i	0.0457547	+	0.0792494i	0.887996	−	0.459852i	$-0.152097\pi$
$439$	0.958667	+	1.66046i	0.0457547	+	0.0792494i	−0.842241	+	0.539101i	$0.818764\pi$
$440$	−44.9234	−	31.0463i	−2.14164	−	1.48007i
$441$	−18.7586	+	9.44016i	−0.893265	+	0.449531i
$442$	−2.39069	+	2.69749i	−0.113713	+	0.128307i
$443$	−18.4381	+	10.6452i	−0.876020	+	0.505770i	−0.869344	−	0.494207i	$-0.835458\pi$
$443$	−18.4381	+	10.6452i	−0.876020	+	0.505770i	−0.00667575	+	0.999978i	$0.502125\pi$
$444$	−0.669296	−	1.50094i	−0.0317634	−	0.0712316i
$445$	−26.5897	+	46.0547i	−1.26047	+	2.18320i
$446$	8.41389	−	9.49368i	0.398409	−	0.449539i
$447$	3.73811	−	16.3630i	0.176806	−	0.773942i
$448$	15.4619	+	14.4544i	0.730508	+	0.682904i
$449$	5.99969			0.283143			0.141572	−	0.989928i	$-0.454784\pi$
$449$	5.99969			0.283143			0.141572	+	0.989928i	$0.454784\pi$
$450$	−35.6885	−	27.1736i	−1.68237	−	1.28098i
$451$	24.8291	+	43.0053i	1.16916	+	2.02504i
$452$	−3.00302	−	24.8110i	−0.141250	−	1.16701i
$453$	27.9415	+	6.38322i	1.31281	+	0.299910i
$454$	10.7989	+	2.20675i	0.506817	+	0.103568i
$455$	−11.4070	−	7.62909i	−0.534770	−	0.357657i
$456$	−3.16581	−	14.2995i	−0.148253	−	0.669633i
$457$	12.6676	+	21.9408i	0.592563	+	1.02635i	0.993886	+	0.110413i	$0.0352173\pi$
$457$	12.6676	+	21.9408i	0.592563	+	1.02635i	−0.401323	+	0.915937i	$0.631449\pi$
$458$	−1.92563	+	9.42321i	−0.0899788	+	0.440318i
$459$	−1.50757	+	9.96241i	−0.0703675	+	0.465005i
$460$	−24.4967	−	10.4481i	−1.14216	−	0.487144i
$461$	17.3693	+	10.0282i	0.808970	+	0.467059i	0.846598	−	0.532233i	$-0.178647\pi$
$461$	17.3693	+	10.0282i	0.808970	+	0.467059i	−0.0376278	+	0.999292i	$0.511980\pi$
$462$	−31.6909	+	1.00005i	−1.47439	+	0.0465266i
$463$	−33.2880	+	19.2188i	−1.54702	+	0.893175i	−0.548658	+	0.836047i	$0.684861\pi$
$463$	−33.2880	+	19.2188i	−1.54702	+	0.893175i	−0.998367	+	0.0571279i	$0.981806\pi$
$464$	−10.3309	+	2.53801i	−0.479601	+	0.117824i
$465$	−4.12272	+	4.44149i	−0.191186	+	0.205969i
$466$	−15.8653	+	17.9014i	−0.734946	+	0.829265i
$467$	16.3595	−	28.3355i	0.757028	−	1.31121i	−0.187332	−	0.982297i	$-0.559984\pi$
$467$	16.3595	−	28.3355i	0.757028	−	1.31121i	0.944360	−	0.328914i	$-0.106683\pi$
$468$	−7.46398	−	2.54610i	−0.345022	−	0.117693i
$469$	3.68228	+	0.242952i	0.170032	+	0.0112185i
$470$	−13.0319	+	4.34792i	−0.601115	+	0.200554i
$471$	15.4348	−	16.6282i	0.711196	−	0.766187i
$472$	17.8791	−	8.47122i	0.822950	−	0.389920i
$473$	6.52628	−	11.3039i	0.300079	−	0.519752i
$474$	2.39572	+	24.5115i	0.110039	+	1.12585i
$475$	15.8038	−	27.3729i	0.725126	−	1.25596i
$476$	8.59301	−	5.60737i	0.393860	−	0.257013i
$477$	−2.82979	−	37.9603i	−0.129567	−	1.73808i
$478$	26.1007	−	8.70817i	1.19382	−	0.398302i
$479$	36.7966			1.68128			0.840639	−	0.541595i	$-0.182180\pi$
$479$	36.7966			1.68128			0.840639	+	0.541595i	$0.182180\pi$
$480$	12.8334	+	36.4731i	0.585760	+	1.66476i
$481$		−	0.623556i		−	0.0284317i
$482$	6.67011	−	32.6407i	0.303815	−	1.48674i
$483$	−15.0449	+	3.57221i	−0.684565	+	0.162541i
$484$	−23.7978	−	10.1500i	−1.08172	−	0.461363i
$485$	4.29243	−	7.43471i	0.194909	−	0.337593i
$486$	−21.3804	+	5.37390i	−0.969834	+	0.243765i
$487$	3.93075	−	2.26942i	0.178119	−	0.102837i	−0.408289	−	0.912853i	$-0.633875\pi$
$487$	3.93075	−	2.26942i	0.178119	−	0.102837i	0.586409	+	0.810015i	$0.300541\pi$
$488$	−6.68526	−	0.543530i	−0.302628	−	0.0246044i
$489$	−9.46546	+	10.1973i	−0.428043	+	0.461139i
$490$	25.5784	+	29.5275i	1.15551	+	1.33392i
$491$	−10.6660	+	6.15804i	−0.481351	+	0.277908i	−0.720980	−	0.692956i	$-0.756308\pi$
$491$	−10.6660	+	6.15804i	−0.481351	+	0.277908i	0.239628	+	0.970865i	$0.422975\pi$
$492$	3.65519	−	34.9701i	0.164789	−	1.57658i
$493$			5.15708i			0.232263i
$494$	1.11258	−	5.44449i	0.0500574	−	0.244959i
$495$	−52.1743	−	25.1510i	−2.34506	−	1.13045i
$496$	3.44401	−	0.846093i	0.154641	−	0.0379907i
$497$	2.51994	+	5.11553i	0.113035	+	0.229463i
$498$	−3.69535	−	5.16498i	−0.165593	−	0.231448i
$499$			12.9516i			0.579793i	0.957058	+	0.289896i	$0.0936209\pi$
$499$			12.9516i			0.579793i	−0.957058	+	0.289896i	$0.906379\pi$
$500$	−17.2550	+	40.4562i	−0.771666	+	1.80926i
$501$	16.0117	−	4.93554i	0.715352	−	0.220504i
$502$	−6.27931	−	1.28317i	−0.280259	−	0.0572709i
$503$	−20.4872			−0.913480			−0.456740	−	0.889600i	$-0.650983\pi$
$503$	−20.4872			−0.913480			−0.456740	+	0.889600i	$0.650983\pi$
$504$	18.5768	+	12.6057i	0.827476	+	0.561500i
$505$	2.81662			0.125338
$506$	−22.8741	−	4.67432i	−1.01688	−	0.207799i
$507$	14.3098	+	13.2827i	0.635520	+	0.589907i
$508$	4.71892	−	11.0640i	0.209368	−	0.490888i
$509$		−	28.4509i		−	1.26107i	−0.776163	−	0.630533i	$-0.782837\pi$
$509$		−	28.4509i		−	1.26107i	0.776163	−	0.630533i	$-0.217163\pi$
$510$	18.6549	−	1.82330i	0.826051	−	0.0807372i
$511$	6.74119	−	10.0794i	0.298213	−	0.445888i
$512$	5.45270	−	21.9606i	0.240977	−	0.970531i
$513$	−5.66676	−	14.4636i	−0.250194	−	0.638585i
$514$	6.76260	−	33.0933i	0.298286	−	1.45968i
$515$			4.59610i			0.202528i
$516$	−8.44073	+	3.76387i	−0.371582	+	0.165695i
$517$	−10.4300	+	6.02176i	−0.458710	+	0.264837i
$518$	−0.469119	+	1.71197i	−0.0206119	+	0.0752197i
$519$	−8.36122	−	27.1252i	−0.367017	−	1.19067i
$520$	−1.18884	+	14.6224i	−0.0521340	+	0.641233i
$521$	32.0751	−	18.5186i	1.40524	−	0.811314i	0.410314	−	0.911944i	$-0.365419\pi$
$521$	32.0751	−	18.5186i	1.40524	−	0.811314i	0.994924	+	0.100630i	$0.0320858\pi$
$522$	−10.4083	+	4.35687i	−0.455560	+	0.190695i
$523$	−2.33168	+	4.03859i	−0.101957	+	0.176595i	−0.912491	−	0.409097i	$-0.865844\pi$
$523$	−2.33168	+	4.03859i	−0.101957	+	0.176595i	0.810534	+	0.585692i	$0.199177\pi$
$524$	3.67671	+	1.56815i	0.160618	+	0.0685051i
$525$	11.1927	+	47.1396i	0.488490	+	2.05734i
$526$	−7.70192	+	37.6899i	−0.335820	+	1.64336i
$527$		−	1.71921i		−	0.0748900i
$528$	17.4243	+	29.0744i	0.758294	+	1.26530i
$529$	11.6139			0.504952
$530$	−67.1723	+	22.4112i	−2.91778	+	0.973481i
$531$	17.3428	−	11.8142i	0.752615	−	0.512693i
$532$	−7.15063	+	14.1108i	−0.310019	+	0.611781i
$533$	6.67049	−	11.5536i	0.288931	−	0.500443i
$534$	26.8459	−	19.2072i	1.16173	−	0.831177i
$535$	24.0432	−	41.6440i	1.03948	−	1.80043i
$536$	−1.68919	−	3.56515i	−0.0729621	−	0.153991i
$537$	9.45990	+	30.6896i	0.408225	+	1.32435i
$538$	−24.5737	+	8.19871i	−1.05945	+	0.353472i
$539$	27.1520	+	20.8718i	1.16952	+	0.899014i
$540$	19.4402	+	36.1100i	0.836571	+	1.55393i
$541$	11.6836	−	20.2366i	0.502318	−	0.870040i	−0.497678	−	0.867362i	$-0.665814\pi$
$541$	11.6836	−	20.2366i	0.502318	−	0.870040i	0.999996	−	0.00267870i	$-0.000852658\pi$
$542$	1.44922	−	1.63520i	0.0622492	−	0.0702379i
$543$	38.8443	+	8.87395i	1.66697	+	0.380817i
$544$	−9.70787	−	5.10687i	−0.416222	−	0.218955i
$545$	−32.4580	+	18.7396i	−1.39035	+	0.802718i
$546$	4.48964	+	7.23894i	0.192139	+	0.309798i
$547$	21.8092	+	12.5915i	0.932493	+	0.538375i	0.887599	−	0.460617i	$-0.152372\pi$
$547$	21.8092	+	12.5915i	0.932493	+	0.538375i	0.0448939	+	0.998992i	$0.485705\pi$
$548$	18.5100	+	7.89468i	0.790707	+	0.337244i
$549$	−7.09450	+	0.528867i	−0.302786	+	0.0225715i
$550$	−14.6459	+	71.6709i	−0.624504	+	3.05606i
$551$	−3.97539	−	6.88557i	−0.169357	−	0.293335i
$552$	11.1645	+	12.1910i	0.475194	+	0.518882i
$553$	14.7886	−	22.1120i	0.628876	−	0.940297i
$554$	−0.673520	−	0.137633i	−0.0286151	−	0.00584749i
$555$	−2.20601	+	2.37658i	−0.0936400	+	0.100880i
$556$	−3.85475	−	31.8480i	−0.163478	−	1.35065i
$557$	−3.17042	−	5.49134i	−0.134335	−	0.232675i	0.791008	−	0.611806i	$-0.209557\pi$
$557$	−3.17042	−	5.49134i	−0.134335	−	0.232675i	−0.925343	+	0.379130i	$0.876223\pi$
$558$	3.46982	−	1.45245i	0.146889	−	0.0614870i
$559$	−3.50664			−0.148315
$560$	14.2648	−	39.2512i	0.602797	−	1.65867i
$561$	15.7027	−	4.84029i	0.662970	−	0.204357i
$562$	24.7016	−	27.8717i	1.04197	−	1.17570i
$563$	0.642577	−	1.11298i	0.0270814	−	0.0469064i	−0.852167	−	0.523270i	$-0.824712\pi$
$563$	0.642577	−	1.11298i	0.0270814	−	0.0469064i	0.879248	+	0.476363i	$0.158045\pi$
$564$	8.48123	+	0.886486i	0.357124	+	0.0373278i
$565$	−42.7056	+	24.6561i	−1.79664	+	1.03729i
$566$	16.1120	−	18.1797i	0.677237	−	0.764149i
$567$	21.5370	+	10.1567i	0.904468	+	0.426541i
$568$	3.46593	−	5.01514i	0.145427	−	0.210430i
$569$	9.93849	+	17.2140i	0.416643	+	0.721647i	0.995599	−	0.0937117i	$-0.0298732\pi$
$569$	9.93849	+	17.2140i	0.416643	+	0.721647i	−0.578956	+	0.815359i	$0.696540\pi$
$570$	−23.5019	+	16.8147i	−0.984386	+	0.704291i
$571$	12.4246	+	7.17336i	0.519954	+	0.300196i	0.736916	−	0.675985i	$-0.236281\pi$
$571$	12.4246	+	7.17336i	0.519954	+	0.300196i	−0.216962	+	0.976180i	$0.569615\pi$
$572$	1.54537	+	12.7679i	0.0646153	+	0.533852i
$573$	2.01232	+	6.52830i	0.0840657	+	0.272724i
$574$	−27.0059	+	26.7020i	−1.12720	+	1.11452i
$575$			35.6758i			1.48778i
$576$	2.10545	−	23.9075i	0.0877272	−	0.996145i
$577$	10.9881	−	6.34398i	0.457440	−	0.264103i	−0.253527	−	0.967328i	$-0.581591\pi$
$577$	10.9881	−	6.34398i	0.457440	−	0.264103i	0.710967	+	0.703225i	$0.248257\pi$
$578$	12.4190	−	14.0128i	0.516563	−	0.582856i
$579$	7.29937	+	6.77548i	0.303351	+	0.281579i
$580$	12.6033	+	16.7853i	0.523324	+	0.696970i
$581$	−0.451609	+	6.84476i	−0.0187359	+	0.283969i
$582$	−4.33379	+	3.10066i	−0.179641	+	0.128527i
$583$	−53.7611	+	31.0390i	−2.22656	+	1.28550i
$584$	−12.9206	−	1.05048i	−0.534657	−	0.0434690i
$585$	1.15677	+	15.5175i	0.0478264	+	0.641569i
$586$	33.3310	−	11.1205i	1.37689	−	0.459382i
$587$	12.4489	−	21.5622i	0.513823	−	0.889967i	−0.486049	−	0.873932i	$-0.661562\pi$
$587$	12.4489	−	21.5622i	0.513823	−	0.889967i	0.999871	−	0.0160352i	$-0.00510440\pi$
$588$	−6.88021	−	23.2522i	−0.283735	−	0.958903i
$589$	1.32527	+	2.29544i	0.0546068	+	0.0945818i
$590$	−29.2146	−	25.8918i	−1.20274	−	1.06595i
$591$	−6.40387	+	28.0319i	−0.263420	+	1.15308i
$592$	1.84285	−	0.452734i	0.0757405	−	0.0186072i
$593$	−22.9565	−	13.2540i	−0.942712	−	0.544275i	−0.0519027	−	0.998652i	$-0.516529\pi$
$593$	−22.9565	−	13.2540i	−0.942712	−	0.544275i	−0.890809	+	0.454377i	$0.849862\pi$
$594$	23.0352	+	27.6030i	0.945144	+	1.13256i
$595$	−16.8287	−	11.2551i	−0.689909	−	0.461415i
$596$	17.8273	+	7.60352i	0.730235	+	0.311452i
$597$	−20.6367	+	6.36117i	−0.844605	+	0.260345i
$598$	1.98509	+	5.94985i	0.0811765	+	0.243307i
$599$	21.3471	+	12.3248i	0.872219	+	0.503576i	0.868085	−	0.496415i	$-0.165351\pi$
$599$	21.3471	+	12.3248i	0.872219	+	0.503576i	0.00413416	+	0.999991i	$0.498684\pi$
$600$	38.1976	−	34.9815i	1.55941	−	1.42812i
$601$	−0.673377	−	0.388774i	−0.0274676	−	0.0158584i	0.486203	−	0.873846i	$-0.338381\pi$
$601$	−0.673377	−	0.388774i	−0.0274676	−	0.0158584i	−0.513671	+	0.857987i	$0.671715\pi$
$602$	9.62747	+	2.63815i	0.392386	+	0.107523i
$603$	−2.35580	−	3.45823i	−0.0959356	−	0.140830i
$604$	−12.9838	+	30.4420i	−0.528304	+	1.23867i
$605$			51.0483i			2.07541i
$606$	−1.59195	−	0.722732i	−0.0646684	−	0.0293590i
$607$	42.1687			1.71157			0.855787	−	0.517328i	$-0.173073\pi$
$607$	42.1687			1.71157			0.855787	+	0.517328i	$0.173073\pi$
$608$	16.8983	−	0.664883i	0.685318	−	0.0269646i
$609$	11.6769	+	3.49063i	0.473173	+	0.141447i
$610$	4.18849	+	12.5540i	0.169587	+	0.508297i
$611$	2.80208	+	1.61778i	0.113360	+	0.0654483i
$612$	−11.0115	−	3.75623i	−0.445115	−	0.151837i
$613$	4.18716	+	7.25237i	0.169118	+	0.292921i	0.938110	−	0.346338i	$-0.112575\pi$
$613$	4.18716	+	7.25237i	0.169118	+	0.292921i	−0.768992	+	0.639258i	$0.779241\pi$
$614$	44.4606	+	9.08550i	1.79428	+	0.366661i
$615$	−66.2977	+	20.4359i	−2.67338	+	0.824057i
$616$	5.36283	−	36.2168i	0.216074	−	1.45922i
$617$	−8.84616	−	15.3220i	−0.356133	−	0.616840i	0.631178	−	0.775638i	$-0.282572\pi$
$617$	−8.84616	−	15.3220i	−0.356133	−	0.616840i	−0.987311	+	0.158797i	$0.949238\pi$
$618$	1.17934	−	2.59771i	0.0474400	−	0.104495i
$619$	−28.2667			−1.13614			−0.568068	−	0.822982i	$-0.692309\pi$
$619$	−28.2667			−1.13614			−0.568068	+	0.822982i	$0.692309\pi$
$620$	−4.20156	−	5.59569i	−0.168739	−	0.224728i
$621$	13.7019	+	10.9400i	0.549836	+	0.439008i
$622$	−12.2395	+	13.8103i	−0.490760	+	0.553741i
$623$	−35.5768	−	2.34732i	−1.42536	−	0.0940432i
$624$	4.42397	−	7.95948i	0.177100	−	0.318634i
$625$	33.9185			1.35674
$626$	−17.8707	+	5.96233i	−0.714256	+	0.238303i
$627$	−17.2346	+	18.5672i	−0.688284	+	0.741503i
$628$	15.7299	+	20.9493i	0.627693	+	0.835969i
$629$		−	0.919927i		−	0.0366799i
$630$	8.49834	−	43.4734i	0.338582	−	1.73202i
$631$		−	21.2515i		−	0.846007i	−0.906128	−	0.423004i	$-0.860976\pi$
$631$		−	21.2515i		−	0.846007i	0.906128	−	0.423004i	$-0.139024\pi$
$632$	−28.3447	−	2.30451i	−1.12749	−	0.0916683i
$633$	−11.4390	−	37.1101i	−0.454659	−	1.47499i
$634$	−8.79656	−	26.3656i	−0.349356	−	1.04711i
$635$	−23.7333			−0.941828
$636$	43.7162	+	4.56936i	1.73346	+	0.181187i
$637$	1.20884	−	9.12091i	0.0478958	−	0.361384i
$638$	13.7711	+	12.2049i	0.545205	+	0.483195i
$639$	2.80779	−	5.82461i	0.111075	−	0.230418i
$640$	−44.0778	+	7.10311i	−1.74233	+	0.280775i
$641$	−34.5020			−1.36275			−0.681373	−	0.731936i	$-0.738617\pi$
$641$	−34.5020			−1.36275			−0.681373	+	0.731936i	$0.738617\pi$
$642$	−24.2748	+	17.3677i	−0.958051	+	0.685449i
$643$	−3.50574	−	6.07213i	−0.138253	−	0.239461i	0.788582	−	0.614929i	$-0.210815\pi$
$643$	−3.50574	−	6.07213i	−0.138253	−	0.239461i	−0.926835	+	0.375468i	$0.877482\pi$
$644$	−0.973822	−	17.8287i	−0.0383740	−	0.702550i
$645$	13.3650	+	12.4058i	0.526246	+	0.488477i
$646$	1.64138	−	8.03221i	0.0645792	−	0.316023i
$647$	0.330066	+	0.571691i	0.0129762	+	0.0224755i	0.872441	−	0.488720i	$-0.162536\pi$
$647$	0.330066	+	0.571691i	0.0129762	+	0.0224755i	−0.859464	+	0.511196i	$0.829203\pi$
$648$	−1.72186	−	25.3975i	−0.0676409	−	0.997710i
$649$	−29.6370	−	17.1109i	−1.16335	−	0.671662i
$650$	18.6425	−	6.21984i	0.731219	−	0.243962i
$651$	−3.89272	−	1.16367i	−0.152568	−	0.0456077i
$652$	−9.64647	−	12.8473i	−0.377785	−	0.503139i
$653$	2.38048			0.0931552			0.0465776	−	0.998915i	$-0.485169\pi$
$653$	2.38048			0.0931552			0.0465776	+	0.998915i	$0.485169\pi$
$654$	23.1537	−	2.26301i	0.905382	−	0.0884908i
$655$		−	7.88686i		−	0.308165i
$656$	38.9884	+	11.3253i	1.52224	+	0.442179i
$657$	−13.7115	+	1.02214i	−0.534937	+	0.0398774i
$658$	−6.47598	−	6.54968i	−0.252460	−	0.255333i
$659$	−4.53599	−	2.61885i	−0.176697	−	0.102016i	0.409043	−	0.912515i	$-0.365863\pi$
$659$	−4.53599	−	2.61885i	−0.176697	−	0.102016i	−0.585740	+	0.810499i	$0.699196\pi$
$660$	39.2801	−	54.1299i	1.52898	−	2.10700i
$661$	−6.35756	−	3.67054i	−0.247280	−	0.142767i	0.371238	−	0.928538i	$-0.378933\pi$
$661$	−6.35756	−	3.67054i	−0.247280	−	0.142767i	−0.618518	+	0.785770i	$0.712267\pi$
$662$	19.3264	−	6.44803i	0.751144	−	0.250610i
$663$	−3.23547	−	3.00325i	−0.125655	−	0.116637i
$664$	6.62704	−	3.13994i	0.257179	−	0.121853i
$665$	31.1453	+	2.05493i	1.20776	+	0.0796867i
$666$	1.85665	−	0.777185i	0.0719438	−	0.0301153i
$667$	7.77183	+	4.48707i	0.300926	+	0.173740i
$668$	2.32474	+	19.2070i	0.0899469	+	0.743142i
$669$	11.3870	+	10.5698i	0.440249	+	0.408651i
$670$	−5.16292	+	5.82550i	−0.199461	+	0.225059i
$671$	5.80096	+	10.0476i	0.223943	+	0.387881i
$672$	−18.1341	+	18.5244i	−0.699538	+	0.714595i
$673$	6.21172	−	10.7590i	0.239444	−	0.414730i	−0.721111	−	0.692820i	$-0.756368\pi$
$673$	6.21172	−	10.7590i	0.239444	−	0.414730i	0.960555	+	0.278090i	$0.0897014\pi$
$674$	0.438520	+	1.31436i	0.0168912	+	0.0506273i
$675$	34.2781	−	42.9316i	1.31936	−	1.65244i
$676$	−18.0284	+	13.5368i	−0.693401	+	0.520645i
$677$	25.8330	−	14.9147i	0.992843	−	0.573218i	0.0867203	−	0.996233i	$-0.472361\pi$
$677$	25.8330	−	14.9147i	0.992843	−	0.573218i	0.906123	+	0.423014i	$0.139028\pi$
$678$	30.4637	−	2.97749i	1.16995	−	0.114350i
$679$	5.74324	+	0.378932i	0.220405	+	0.0145421i
$680$	−1.75388	+	21.5722i	−0.0672583	+	0.827258i
$681$	−3.00643	+	13.1602i	−0.115207	+	0.504298i
$682$	−4.59087	−	4.06872i	−0.175794	−	0.155799i
$683$	−9.32990	+	5.38662i	−0.356999	+	0.206113i	−0.667763	−	0.744374i	$-0.732748\pi$
$683$	−9.32990	+	5.38662i	−0.356999	+	0.206113i	0.310765	+	0.950487i	$0.399415\pi$
$684$	17.5978	−	3.47315i	0.672868	−	0.132799i
$685$		−	39.7054i		−	1.51707i
$686$	−10.1808	+	24.1320i	−0.388704	+	0.921363i
$687$	−11.4837	−	2.62344i	−0.438130	−	0.100091i
$688$	−2.54600	−	10.3635i	−0.0970654	−	0.395103i
$689$	14.4432	+	8.33879i	0.550243	+	0.317683i
$690$	13.4835	−	29.6997i	0.513306	−	1.13065i
$691$	−23.6969	−	41.0442i	−0.901471	−	1.56139i	−0.825586	−	0.564277i	$-0.809155\pi$
$691$	−23.6969	−	41.0442i	−0.901471	−	1.56139i	−0.0758850	−	0.997117i	$-0.524178\pi$
$692$	32.5383	−	3.93831i	1.23692	−	0.149712i
$693$	−0.331050	−	38.8311i	−0.0125756	−	1.47507i
$694$	29.0348	+	25.7325i	1.10215	+	0.976791i
$695$	−54.8179	+	31.6491i	−2.07936	+	1.20052i
$696$	−2.81634	−	12.7209i	−0.106753	−	0.482186i
$697$	9.84091	−	17.0450i	0.372751	−	0.645624i
$698$	15.9304	+	14.1185i	0.602976	+	0.534395i
$699$	−21.4715	−	19.9305i	−0.812128	−	0.753840i
$700$	−55.8622	+	3.05125i	−2.11139	+	0.115326i
$701$	−39.5982			−1.49560			−0.747801	−	0.663923i	$-0.768890\pi$
$701$	−39.5982			−1.49560			−0.747801	+	0.663923i	$0.768890\pi$
$702$	3.32792	−	9.06727i	0.125604	−	0.342222i
$703$	0.709135	+	1.22826i	0.0267455	+	0.0463246i
$704$	−36.6119	+	13.8373i	−1.37986	+	0.521513i
$705$	−4.95628	−	16.0790i	−0.186664	−	0.605572i
$706$	−5.24011	+	25.6429i	−0.197214	+	0.965082i
$707$	0.834486	+	1.69402i	0.0313841	+	0.0637102i
$708$	9.86829	+	22.1303i	0.370873	+	0.831708i
$709$	−13.7496	−	23.8150i	−0.516378	−	0.894393i	−0.999819	−	0.0190160i	$-0.993947\pi$
$709$	−13.7496	−	23.8150i	−0.516378	−	0.894393i	0.483441	−	0.875377i	$-0.339387\pi$
$710$	−11.7850	−	2.40827i	−0.442285	−	0.0903807i
$711$	−30.0799	+	2.24234i	−1.12808	+	0.0840942i
$712$	16.3204	+	34.4452i	0.611632	+	1.29089i
$713$	−2.59089	−	1.49585i	−0.0970295	−	0.0560200i
$714$	6.62352	+	10.6795i	0.247879	+	0.399672i
$715$	21.9766	−	12.6882i	0.821877	−	0.474511i
$716$	−36.8139	+	4.45581i	−1.37580	+	0.166521i
$717$	9.92662	+	32.2037i	0.370717	+	1.20267i
$718$	−6.16986	−	5.46811i	−0.230257	−	0.204068i
$719$	−26.4956	+	45.8917i	−0.988118	+	1.71147i	−0.360954	+	0.932584i	$0.617549\pi$
$719$	−26.4956	+	45.8917i	−0.988118	+	1.71147i	−0.627164	+	0.778887i	$0.715784\pi$
$720$	−45.0202	+	14.6852i	−1.67780	+	0.547284i
$721$	−2.76427	+	1.36170i	−0.102947	+	0.0507123i
$722$	−4.50385	−	13.4992i	−0.167616	−	0.502389i
$723$	39.7779	+	9.08723i	1.47935	+	0.337958i
$724$	−18.0501	+	42.3205i	−0.670827	+	1.57283i
$725$	14.0592	−	24.3513i	0.522146	−	0.904383i
$726$	13.0988	−	28.8524i	0.486141	−	1.07081i
$727$	15.2977	−	26.4963i	0.567359	−	0.982694i	−0.429467	−	0.903082i	$-0.641299\pi$
$727$	15.2977	−	26.4963i	0.567359	−	0.982694i	0.996826	−	0.0796118i	$-0.0253681\pi$
$728$	−9.14666	+	3.61719i	−0.338998	+	0.134062i
$729$	−5.97715	−	26.3301i	−0.221376	−	0.975189i
$730$	8.09507	+	24.2631i	0.299612	+	0.898016i
$731$	−5.17332			−0.191342
$732$	0.853981	−	8.17025i	0.0315640	−	0.301981i
$733$		−	0.705255i		−	0.0260492i	−0.999915	−	0.0130246i	$-0.995854\pi$
$733$		−	0.705255i		−	0.0260492i	0.999915	−	0.0130246i	$-0.00414597\pi$
$734$	−2.50508	−	0.511913i	−0.0924643	−	0.0188950i
$735$	−36.8751	+	30.4862i	−1.36016	+	1.12450i
$736$	−16.1428	+	10.1866i	−0.595030	+	0.375483i
$737$	−3.41198	+	5.90973i	−0.125682	+	0.217688i
$738$	42.7151	+	5.46138i	1.57236	+	0.201036i
$739$	29.5374	−	17.0534i	1.08655	−	0.627321i	0.153896	−	0.988087i	$-0.450818\pi$
$739$	29.5374	−	17.0534i	1.08655	−	0.627321i	0.932656	+	0.360766i	$0.117485\pi$
$740$	−2.24820	−	2.99418i	−0.0826454	−	0.110068i
$741$	6.63498	+	1.51576i	0.243742	+	0.0556828i
$742$	−33.3802	−	33.7601i	−1.22543	−	1.23937i
$743$	32.7970	−	18.9353i	1.20320	−	0.694670i	0.241938	−	0.970292i	$-0.422217\pi$
$743$	32.7970	−	18.9353i	1.20320	−	0.694670i	0.961266	+	0.275621i	$0.0888836\pi$
$744$	0.938880	+	4.24077i	0.0344210	+	0.155474i
$745$		−	38.2411i		−	1.40105i
$746$	8.25686	+	1.68729i	0.302305	+	0.0617759i
$747$	6.42829	−	4.37905i	0.235199	−	0.160221i
$748$	2.27987	+	18.8363i	0.0833605	+	0.688725i
$749$	32.1696	+	2.12251i	1.17545	+	0.0775548i
$750$	−49.0490	−	22.2679i	−1.79101	−	0.813108i
$751$			18.1205i			0.661227i	0.943766	+	0.330613i	$0.107256\pi$
$751$			18.1205i			0.661227i	−0.943766	+	0.330613i	$0.892744\pi$
$752$	−2.74670	+	9.45578i	−0.100162	+	0.344817i
$753$	1.74817	−	7.65234i	0.0637069	−	0.278867i
$754$	0.989764	−	4.84348i	0.0360451	−	0.176389i
$755$	65.3007			2.37654
$756$	−15.9583	+	22.3904i	−0.580399	+	0.814332i
$757$	−30.0755			−1.09311			−0.546555	−	0.837423i	$-0.684061\pi$
$757$	−30.0755			−1.09311			−0.546555	+	0.837423i	$0.684061\pi$
$758$	4.68066	−	22.9052i	0.170009	−	0.831953i
$759$	6.36820	−	27.8758i	0.231151	−	1.01183i
$760$	−14.2875	−	30.1546i	−0.518261	−	1.09382i
$761$			22.2505i			0.806579i	0.915072	+	0.403290i	$0.132133\pi$
$761$			22.2505i			0.806579i	−0.915072	+	0.403290i	$0.867867\pi$
$762$	13.4140	+	6.08987i	0.485938	+	0.220613i
$763$	−20.8871	−	13.9694i	−0.756165	−	0.505728i
$764$	−7.83108	+	0.947842i	−0.283318	+	0.0342917i
$765$	1.70657	+	22.8928i	0.0617011	+	0.827691i
$766$	−4.56965	−	0.933806i	−0.165108	−	0.0337398i
$767$			9.19389i			0.331972i
$768$	26.7353	+	7.29551i	0.964727	+	0.263254i
$769$	−9.46235	+	5.46309i	−0.341221	+	0.197004i	−0.660812	−	0.750552i	$-0.729788\pi$
$769$	−9.46235	+	5.46309i	−0.341221	+	0.197004i	0.319591	+	0.947556i	$0.396455\pi$
$770$	−69.8822	+	18.3017i	−2.51838	+	0.659548i
$771$	40.3295	+	9.21324i	1.45243	+	0.331807i
$772$	−9.19624	+	6.90505i	−0.330980	+	0.248518i
$773$	−10.6286	+	6.13643i	−0.382284	+	0.220712i	−0.678812	−	0.734312i	$-0.737505\pi$
$773$	−10.6286	+	6.13643i	−0.382284	+	0.220712i	0.296527	+	0.955024i	$0.404171\pi$
$774$	−4.37059	−	10.4411i	−0.157098	−	0.375298i
$775$	−4.68690	+	8.11795i	−0.168359	+	0.291605i
$776$	−2.63463	−	5.56056i	−0.0945777	−	0.199612i
$777$	−2.08295	−	0.622663i	−0.0747253	−	0.0223379i
$778$	−13.3692	−	2.73199i	−0.479309	−	0.0979467i
$779$			30.3439i			1.08718i
$780$	−17.8704	−	1.86787i	−0.639863	−	0.0668806i
$781$	−10.5449			−0.377327
$782$	2.92859	+	8.77775i	0.104726	+	0.313892i
$783$	−5.04121	−	12.8670i	−0.180158	−	0.459829i
$784$	27.8334	−	3.04968i	0.994051	−	0.108917i
$785$	25.8452	−	44.7653i	0.922456	−	1.59774i
$786$	−2.02373	+	4.45763i	−0.0721842	+	0.158998i
$787$	1.13525	−	1.96631i	0.0404672	−	0.0700913i	−0.845082	−	0.534636i	$-0.820449\pi$
$787$	1.13525	−	1.96631i	0.0404672	−	0.0700913i	0.885550	+	0.464545i	$0.153782\pi$
$788$	−30.5405	−	13.0258i	−1.08796	−	0.464026i
$789$	−45.9311	−	10.4929i	−1.63519	−	0.373559i
$790$	17.7587	+	53.2276i	0.631827	+	1.89375i
$791$	−27.4816	−	18.3798i	−0.977133	−	0.653512i
$792$	−36.0905	+	20.5150i	−1.28242	+	0.728967i
$793$	1.55846	−	2.69933i	0.0553425	−	0.0958560i
$794$	3.93743	+	3.48960i	0.139734	+	0.123841i
$795$	−25.5470	−	82.8790i	−0.906059	−	2.93941i
$796$	−2.99624	−	24.7550i	−0.106199	−	0.877416i
$797$	−4.92030	+	2.84074i	−0.174286	+	0.100624i	−0.584605	−	0.811318i	$-0.698751\pi$
$797$	−4.92030	+	2.84074i	−0.174286	+	0.100624i	0.410319	+	0.911942i	$0.365417\pi$
$798$	−17.0760	−	9.15319i	−0.604482	−	0.324019i
$799$	4.13388	+	2.38669i	0.146246	+	0.0844352i
$800$	31.9174	+	50.5797i	1.12845	+	1.78826i
$801$	22.7609	+	33.4121i	0.804215	+	1.18056i
$802$	33.2152	+	6.78750i	1.17287	+	0.239675i
$803$	11.2115	+	19.4188i	0.395644	+	0.685276i
$804$	4.41287	−	1.96777i	0.155630	−	0.0693980i
$805$	−31.6040	+	15.5684i	−1.11390	+	0.548712i
$806$	−0.329957	+	1.61467i	−0.0116222	+	0.0568742i
$807$	−9.34588	−	30.3197i	−0.328991	−	1.06730i
$808$	1.14775	−	1.66078i	0.0403777	−	0.0584259i
$809$	−8.28527	−	14.3505i	−0.291295	−	0.504537i	0.682821	−	0.730585i	$-0.260753\pi$
$809$	−8.28527	−	14.3505i	−0.291295	−	0.504537i	−0.974116	+	0.226048i	$0.927419\pi$
$810$	−44.7619	+	22.7849i	−1.57277	+	0.800580i
$811$	−10.2931			−0.361438			−0.180719	−	0.983535i	$-0.557842\pi$
$811$	−10.2931			−0.361438			−0.180719	+	0.983535i	$0.557842\pi$
$812$	−6.36128	+	12.5531i	−0.223237	+	0.440528i
$813$	1.96132	+	1.82055i	0.0687864	+	0.0638495i
$814$	−2.45652	−	2.17712i	−0.0861009	−	0.0763080i
$815$	−15.8497	+	27.4526i	−0.555192	+	0.961621i
$816$	6.52664	−	11.7425i	0.228478	−	0.411071i
$817$	6.90726	−	3.98791i	0.241654	−	0.139519i
$818$	23.4483	+	20.7814i	0.819851	+	0.726603i
$819$	−8.99008	+	5.29312i	−0.314139	+	0.184957i
$820$	−9.62575	−	79.5280i	−0.336146	−	2.77724i
$821$	0.0507961	+	0.0879815i	0.00177280	+	0.00307058i	0.866910	−	0.498464i	$-0.166102\pi$
$821$	0.0507961	+	0.0879815i	0.00177280	+	0.00307058i	−0.865138	+	0.501535i	$0.832769\pi$
$822$	−10.1882	+	22.4414i	−0.355356	+	0.782734i
$823$	−47.7924	−	27.5929i	−1.66594	−	0.961829i	−0.969794	−	0.243927i	$-0.921564\pi$
$823$	−47.7924	−	27.5929i	−1.66594	−	0.961829i	−0.696144	−	0.717902i	$-0.745102\pi$
$824$	2.71002	+	1.87288i	0.0944081	+	0.0652448i
$825$	−87.3424	−	19.9533i	−3.04087	−	0.694685i
$826$	6.91682	−	25.2418i	0.240667	−	0.878273i
$827$		−	37.1634i		−	1.29230i	−0.763211	−	0.646149i	$-0.776378\pi$
$827$		−	37.1634i		−	1.29230i	0.763211	−	0.646149i	$-0.223622\pi$
$828$	−15.2416	+	13.3264i	−0.529683	+	0.463124i
$829$	33.4823	−	19.3310i	1.16289	−	0.671393i	0.210893	−	0.977509i	$-0.432363\pi$
$829$	33.4823	−	19.3310i	1.16289	−	0.671393i	0.951994	+	0.306116i	$0.0990295\pi$
$830$	−10.8287	−	9.59703i	−0.375868	−	0.333118i
$831$	0.187509	−	0.820791i	0.00650462	−	0.0284729i
$832$	8.13742	+	6.65949i	0.282114	+	0.230876i
$833$	1.78338	−	13.4560i	0.0617906	−	0.466223i
$834$	39.1040	−	3.82197i	1.35406	−	0.132344i
$835$	33.0598	−	19.0871i	1.14408	−	0.660537i
$836$	−17.5642	−	23.3922i	−0.607471	−	0.809037i
$837$	1.68058	+	4.28946i	0.0580895	+	0.148265i
$838$	−15.8296	−	47.4454i	−0.546824	−	1.63898i
$839$	2.58403	−	4.47567i	0.0892106	−	0.154517i	−0.817967	−	0.575265i	$-0.804899\pi$
$839$	2.58403	−	4.47567i	0.0892106	−	0.154517i	0.907178	+	0.420748i	$0.138232\pi$
$840$	47.6578	+	18.5727i	1.64435	+	0.640817i
$841$	10.9635	+	18.9893i	0.378050	+	0.654802i
$842$	29.0510	−	32.7792i	1.00116	−	1.12965i
$843$	33.4302	+	31.0309i	1.15140	+	1.06876i
$844$	44.5157	−	5.38801i	1.53229	−	0.185463i
$845$	38.5238	+	22.2417i	1.32526	+	0.765138i
$846$	−1.32454	+	10.3596i	−0.0455385	+	0.356170i
$847$	−30.7024	+	15.1242i	−1.05495	+	0.519673i
$848$	−14.1578	+	48.7395i	−0.486180	+	1.67372i
$849$	21.8054	+	20.2404i	0.748358	+	0.694647i
$850$	27.5031	−	9.17607i	0.943348	−	0.314736i
$851$	−1.38635	−	0.800409i	−0.0475234	−	0.0274377i
$852$	6.04292	+	4.38514i	0.207027	+	0.150232i
$853$	30.1332	+	17.3974i	1.03174	+	0.595675i	0.917483	−	0.397776i	$-0.130218\pi$
$853$	30.1332	+	17.3974i	1.03174	+	0.595675i	0.114257	+	0.993451i	$0.463551\pi$
$854$	−6.30952	+	6.23852i	−0.215907	+	0.213478i
$855$	−19.9257	−	29.2502i	−0.681445	−	1.00034i
$856$	−14.7573	−	31.1463i	−0.504396	−	1.06456i
$857$		−	42.8423i		−	1.46347i	−0.681592	−	0.731733i	$-0.738712\pi$
$857$		−	42.8423i		−	1.46347i	0.681592	−	0.731733i	$-0.261288\pi$
$858$	−15.6768	+	1.53223i	−0.535198	+	0.0523096i
$859$	−31.9433			−1.08989			−0.544945	−	0.838472i	$-0.683450\pi$
$859$	−31.9433			−1.08989			−0.544945	+	0.838472i	$0.683450\pi$
$860$	−16.8381	+	12.6430i	−0.574175	+	0.431123i
$861$	−31.9331	−	33.8194i	−1.08828	−	1.15256i
$862$	6.54235	−	2.18277i	0.222833	−	0.0743455i
$863$	−30.0490	−	17.3488i	−1.02288	−	0.590560i	−0.107943	−	0.994157i	$-0.534426\pi$
$863$	−30.0490	−	17.3488i	−1.02288	−	0.590560i	−0.914937	+	0.403597i	$0.867760\pi$
$864$	29.2134	+	3.25196i	0.993861	+	0.110634i
$865$	−32.3352	−	56.0061i	−1.09943	−	1.90427i
$866$	3.70191	−	18.1156i	0.125796	−	0.615593i
$867$	16.8074	+	15.6011i	0.570811	+	0.529843i
$868$	2.12065	−	4.18482i	0.0719796	−	0.142042i
$869$	24.5954	+	42.6005i	0.834342	+	1.44512i
$870$	−20.9075	+	14.9585i	−0.708832	+	0.507142i
$871$	1.83330			0.0621189
$872$	−2.17685	+	26.7747i	−0.0737175	+	0.906704i
$873$	−3.67433	−	5.39379i	−0.124357	−	0.182552i
$874$	−10.6766	−	9.46225i	−0.361141	−	0.320065i
$875$	25.7111	+	52.1939i	0.869193	+	1.76448i
$876$	1.65048	−	15.7906i	0.0557647	−	0.533514i
$877$	−22.2426			−0.751081			−0.375540	−	0.926806i	$-0.622543\pi$
$877$	−22.2426			−0.751081			−0.375540	+	0.926806i	$0.622543\pi$
$878$	−0.858162	−	2.57214i	−0.0289616	−	0.0868055i
$879$	12.6765	+	41.1246i	0.427566	+	1.38710i
$880$	53.4544	+	55.7368i	1.80195	+	1.87889i
$881$		−	20.4228i		−	0.688061i	−0.938958	−	0.344031i	$-0.888208\pi$
$881$		−	20.4228i		−	0.688061i	0.938958	−	0.344031i	$-0.111792\pi$
$882$	28.6644	−	7.76874i	0.965180	−	0.261587i
$883$		−	11.6027i		−	0.390461i	−0.980757	−	0.195231i	$-0.937454\pi$
$883$		−	11.6027i		−	0.390461i	0.980757	−	0.195231i	$-0.0625456\pi$
$884$	4.07626	−	3.06069i	0.137099	−	0.102942i
$885$	32.5260	−	35.0410i	1.09335	−	1.17789i
$886$	28.5615	−	9.52921i	0.959544	−	0.320140i
$887$	53.0798			1.78225			0.891123	−	0.453763i	$-0.149919\pi$
$887$	53.0798			1.78225			0.891123	+	0.453763i	$0.149919\pi$
$888$	0.502382	+	2.26918i	0.0168588	+	0.0761487i
$889$	−7.03152	−	14.2741i	−0.235830	−	0.478738i
$890$	49.8822	−	56.2838i	1.67206	−	1.88664i
$891$	−34.4471	+	27.4265i	−1.15402	+	0.918823i
$892$	−14.3462	+	10.7719i	−0.480345	+	0.360670i
$893$	−7.35923			−0.246267
$894$	−9.81250	+	21.6138i	−0.328179	+	0.722873i
$895$	36.5841	+	63.3655i	1.22287	+	2.11808i
$896$	−17.3311	−	24.4056i	−0.578992	−	0.815334i
$897$	−7.34108	+	2.26285i	−0.245111	+	0.0755543i
$898$	−8.31305	−	1.69877i	−0.277410	−	0.0566887i
$899$	1.17898	+	2.04205i	0.0393210	+	0.0681060i
$900$	41.7552	+	47.7562i	1.39184	+	1.59187i
$901$	21.3079	+	12.3021i	0.709870	+	0.409844i
$902$	−22.2261	−	66.6175i	−0.740049	−	2.21812i
$903$	−3.50162	+	11.7137i	−0.116527	+	0.389807i
$904$	−2.86412	+	35.2279i	−0.0952593	+	1.17166i
$905$	90.7810			3.01766
$906$	−36.9078	−	16.7559i	−1.22618	−	0.556677i
$907$			54.6847i			1.81578i	0.419213	+	0.907888i	$0.362306\pi$
$907$			54.6847i			1.81578i	−0.419213	+	0.907888i	$0.637694\pi$
$908$	−14.3379	−	6.11525i	−0.475819	−	0.202942i
$909$	0.929808	−	1.92884i	0.0308398	−	0.0639754i
$910$	13.6452	+	13.8005i	0.452335	+	0.457483i
$911$	−1.27865	−	0.738229i	−0.0423636	−	0.0244586i	0.478669	−	0.877996i	$-0.341120\pi$
$911$	−1.27865	−	0.738229i	−0.0423636	−	0.0244586i	−0.521032	+	0.853537i	$0.674453\pi$
$912$	0.337696	+	20.7094i	0.0111822	+	0.685757i
$913$	−10.9852	−	6.34232i	−0.363558	−	0.209900i
$914$	−11.3395	−	33.9875i	−0.375078	−	1.12421i
$915$	−15.4895	+	4.77455i	−0.512066	+	0.157842i
$916$	5.33623	−	12.5114i	0.176314	−	0.413388i
$917$	4.74345	−	2.33666i	0.156643	−	0.0771632i
$918$	4.90965	−	13.3769i	0.162042	−	0.441502i
$919$	−16.9505	−	9.78639i	−0.559146	−	0.322823i	0.193657	−	0.981069i	$-0.437965\pi$
$919$	−16.9505	−	9.78639i	−0.559146	−	0.322823i	−0.752803	+	0.658246i	$0.771299\pi$
$920$	30.9838	+	21.4127i	1.02151	+	0.705956i
$921$	−12.3779	+	54.1823i	−0.407866	+	1.78537i
$922$	−21.2272	−	18.8128i	−0.699080	−	0.619568i
$923$	1.41648	+	2.45341i	0.0466239	+	0.0807549i
$924$	44.1934	+	7.58738i	1.45386	+	0.249607i
$925$	−2.50790	+	4.34381i	−0.0824592	+	0.142824i
$926$	51.5648	−	17.2040i	1.69453	−	0.565358i
$927$	3.14744	+	1.51724i	0.103375	+	0.0498328i
$928$	15.0329	−	0.591487i	0.493480	−	0.0194165i
$929$	−12.5102	+	7.22275i	−0.410445	+	0.236971i	−0.690981	−	0.722873i	$-0.742821\pi$
$929$	−12.5102	+	7.22275i	−0.410445	+	0.236971i	0.280536	+	0.959844i	$0.409488\pi$
$930$	6.96992	−	4.98672i	0.228553	−	0.163521i
$931$	7.99158	+	19.3408i	0.261913	+	0.633868i
$932$	27.0513	−	20.3116i	0.886094	−	0.665329i
$933$	−16.5645	−	15.3756i	−0.542298	−	0.503376i
$934$	−30.6904	+	34.6290i	−1.00422	+	1.13310i
$935$	32.4218	−	18.7187i	1.06031	−	0.612168i
$936$	9.62102	+	5.64119i	0.314473	+	0.184388i
$937$			31.4809i			1.02844i	0.857659	+	0.514218i	$0.171918\pi$
$937$			31.4809i			1.02844i	−0.857659	+	0.514218i	$0.828082\pi$
$938$	−5.03330	−	1.37924i	−0.164343	−	0.0450338i
$939$	−6.79658	−	22.0493i	−0.221798	−	0.719552i
$940$	19.2878	−	2.33451i	0.629097	−	0.0761434i
$941$	−34.9308	−	20.1673i	−1.13871	−	0.657435i	−0.192600	−	0.981277i	$-0.561692\pi$
$941$	−34.9308	−	20.1673i	−1.13871	−	0.657435i	−0.946111	+	0.323842i	$0.895025\pi$
$942$	−26.0942	+	18.6694i	−0.850196	+	0.608283i
$943$	−17.1247	−	29.6609i	−0.557658	−	0.965892i
$944$	−27.1714	+	6.67523i	−0.884354	+	0.217260i
$945$	52.9902	+	11.6312i	1.72377	+	0.378361i
$946$	−12.2433	+	13.8145i	−0.398064	+	0.449149i
$947$	12.8689	−	7.42986i	0.418183	−	0.241438i	−0.276117	−	0.961124i	$-0.589048\pi$
$947$	12.8689	−	7.42986i	0.418183	−	0.241438i	0.694300	+	0.719686i	$0.255714\pi$
$948$	3.62078	−	34.6409i	0.117598	−	1.12508i
$949$	3.01202	−	5.21698i	0.0977745	−	0.169350i
$950$	−29.6478	+	33.4526i	−0.961902	+	1.08535i
$951$	32.5306	−	10.0274i	1.05488	−	0.325160i
$952$	−13.4940	+	5.33641i	−0.437343	+	0.172954i
$953$	−11.8041			−0.382371			−0.191185	−	0.981554i	$-0.561233\pi$
$953$	−11.8041			−0.382371			−0.191185	+	0.981554i	$0.561233\pi$
$954$	−6.82728	+	53.3982i	−0.221041	+	1.72883i
$955$	7.78219	+	13.4791i	0.251826	+	0.436175i
$956$	−38.6302	+	4.67565i	−1.24939	+	0.151221i
$957$	−15.3321	+	16.5176i	−0.495617	+	0.533938i
$958$	−50.9846	−	10.4187i	−1.64724	−	0.336612i
$959$	23.8803	−	11.7636i	0.771137	−	0.379867i
$960$	−7.45455	−	54.1700i	−0.240595	−	1.74833i
$961$	15.1070	+	26.1660i	0.487321	+	0.844066i
$962$	−0.176555	+	0.863987i	−0.00569237	+	0.0278561i
$963$	−20.5810	−	30.2122i	−0.663214	−	0.973575i
$964$	−18.4839	+	43.3377i	−0.595327	+	1.39581i
$965$	19.6508	+	11.3454i	0.632583	+	0.365222i
$966$	21.8573	−	0.689738i	0.703247	−	0.0221920i
$967$	2.41663	−	1.39524i	0.0777137	−	0.0448680i	−0.460640	−	0.887587i	$-0.652380\pi$
$967$	2.41663	−	1.39524i	0.0777137	−	0.0448680i	0.538353	+	0.842719i	$0.319047\pi$
$968$	30.0999	+	20.8018i	0.967446	+	0.668595i
$969$	9.78853	+	2.23618i	0.314453	+	0.0718366i
$970$	−8.05259	+	9.08601i	−0.258553	+	0.291734i
$971$	−26.2483	+	45.4633i	−0.842347	+	1.45899i	0.0455582	+	0.998962i	$0.485493\pi$
$971$	−26.2483	+	45.4633i	−0.842347	+	1.45899i	−0.887905	+	0.460026i	$0.847840\pi$
$972$	31.1458	−	1.39227i	0.999002	−	0.0446569i
$973$	−35.2760	−	23.5928i	−1.13090	−	0.756350i
$974$	−6.08894	+	2.03150i	−0.195102	+	0.0650935i
$975$	7.09012	+	23.0016i	0.227066	+	0.736641i
$976$	9.10906	+	2.64599i	0.291574	+	0.0846959i
$977$	5.14397	−	8.90962i	0.164570	−	0.285044i	−0.771932	−	0.635705i	$-0.780710\pi$
$977$	5.14397	−	8.90962i	0.164570	−	0.285044i	0.936503	+	0.350661i	$0.114043\pi$
$978$	16.0024	−	11.4491i	0.511702	−	0.366103i
$979$	32.9653	−	57.0976i	1.05358	−	1.82485i
$980$	−27.0804	−	48.1550i	−0.865051	−	1.53825i
$981$	2.11813	+	28.4137i	0.0676266	+	0.907179i
$982$	16.5222	−	5.51244i	0.527246	−	0.175909i
$983$	32.9047			1.04950			0.524749	−	0.851257i	$-0.324159\pi$
$983$	32.9047			1.04950			0.524749	+	0.851257i	$0.324159\pi$
$984$	−14.9661	+	47.4190i	−0.477102	+	1.51166i
$985$			65.5120i			2.08739i
$986$	1.46019	−	7.14554i	0.0465019	−	0.227560i
$987$	8.20214	−	7.74467i	0.261077	−	0.246516i
$988$	−3.08314	+	7.22876i	−0.0980876	+	0.229978i
$989$	−4.50120	+	7.79630i	−0.143130	+	0.247908i
$990$	65.1703	+	49.6215i	2.07125	+	1.57707i
$991$	−48.3716	+	27.9273i	−1.53657	+	0.887141i	−0.537537	+	0.843240i	$0.680645\pi$
$991$	−48.3716	+	27.9273i	−1.53657	+	0.887141i	−0.999036	+	0.0439007i	$0.986021\pi$
$992$	−5.01152	+	0.197183i	−0.159116	+	0.00626058i
$993$	7.35024	+	23.8455i	0.233253	+	0.756713i
$994$	−2.04316	−	7.80147i	−0.0648050	−	0.247448i
$995$	−42.6092	+	24.6004i	−1.35080	+	0.779885i
$996$	3.65777	+	8.20280i	0.115901	+	0.259916i
$997$		−	0.253367i		−	0.00802422i	−0.999992	−	0.00401211i	$-0.998723\pi$
$997$		−	0.253367i		−	0.00802422i	0.999992	−	0.00401211i	$-0.00127710\pi$
$998$	3.66715	−	17.9455i	0.116082	−	0.568054i
$999$	0.899258	+	2.29523i	0.0284513	+	0.0726180i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.187.4	yes	84
3.2	odd	2		756.2.n.b.19.39		84
4.3	odd	2	inner	252.2.n.b.187.25	yes	84
7.3	odd	6		252.2.bj.b.115.31	yes	84
9.4	even	3		252.2.bj.b.103.31	yes	84
9.5	odd	6		756.2.bj.b.523.12		84
12.11	even	2		756.2.n.b.19.18		84
21.17	even	6		756.2.bj.b.451.12		84
28.3	even	6		252.2.bj.b.115.32	yes	84
36.23	even	6		756.2.bj.b.523.11		84
36.31	odd	6		252.2.bj.b.103.32	yes	84
63.31	odd	6	inner	252.2.n.b.31.25	yes	84
63.59	even	6		756.2.n.b.199.18		84
84.59	odd	6		756.2.bj.b.451.11		84
252.31	even	6	inner	252.2.n.b.31.4	✓	84
252.59	odd	6		756.2.n.b.199.39		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.4	✓	84	252.31	even	6	inner
252.2.n.b.31.25	yes	84	63.31	odd	6	inner
252.2.n.b.187.4	yes	84	1.1	even	1	trivial
252.2.n.b.187.25	yes	84	4.3	odd	2	inner
252.2.bj.b.103.31	yes	84	9.4	even	3
252.2.bj.b.103.32	yes	84	36.31	odd	6
252.2.bj.b.115.31	yes	84	7.3	odd	6
252.2.bj.b.115.32	yes	84	28.3	even	6
756.2.n.b.19.18		84	12.11	even	2
756.2.n.b.19.39		84	3.2	odd	2
756.2.n.b.199.18		84	63.59	even	6
756.2.n.b.199.39		84	252.59	odd	6
756.2.bj.b.451.11		84	84.59	odd	6
756.2.bj.b.451.12		84	21.17	even	6
756.2.bj.b.523.11		84	36.23	even	6
756.2.bj.b.523.12		84	9.5	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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38558 - 0.283143i) q^{2} +(0.385748 - 1.68855i) q^{3} +(1.83966 + 0.784633i) q^{4} -3.94623i q^{5} +(-1.01258 + 2.23040i) q^{6} +(2.37341 - 1.16916i) q^{7} +(-2.32683 - 1.60806i) q^{8} +(-2.70240 - 1.30271i) q^{9} +O(q^{10})\)	\(q+(-1.38558 - 0.283143i) q^{2} +(0.385748 - 1.68855i) q^{3} +(1.83966 + 0.784633i) q^{4} -3.94623i q^{5} +(-1.01258 + 2.23040i) q^{6} +(2.37341 - 1.16916i) q^{7} +(-2.32683 - 1.60806i) q^{8} +(-2.70240 - 1.30271i) q^{9} +(-1.11734 + 5.46781i) q^{10} +4.89244i q^{11} +(2.03454 - 2.80369i) q^{12} +(1.13829 - 0.657191i) q^{13} +(-3.61959 + 0.947947i) q^{14} +(-6.66340 - 1.52225i) q^{15} +(2.76870 + 2.88692i) q^{16} +(1.67931 - 0.969547i) q^{17} +(3.37553 + 2.57017i) q^{18} +(-1.49477 + 2.58902i) q^{19} +(3.09634 - 7.25972i) q^{20} +(-1.05864 - 4.45862i) q^{21} +(1.38526 - 6.77887i) q^{22} -3.37433i q^{23} +(-3.61286 + 3.30867i) q^{24} -10.5727 q^{25} +(-1.76327 + 0.588292i) q^{26} +(-3.24213 + 4.06061i) q^{27} +(5.28363 - 0.288597i) q^{28} +(-1.32976 + 2.30322i) q^{29} +(8.80165 + 3.99589i) q^{30} +(0.443302 - 0.767822i) q^{31} +(-3.01885 - 4.78399i) q^{32} +(8.26113 + 1.88725i) q^{33} +(-2.60133 + 0.867902i) q^{34} +(-4.61376 - 9.36601i) q^{35} +(-3.94934 - 4.51693i) q^{36} +(0.237205 - 0.410852i) q^{37} +(2.80419 - 3.16406i) q^{38} +(-0.670607 - 2.17556i) q^{39} +(-6.34576 + 9.18221i) q^{40} +(8.79016 - 5.07500i) q^{41} +(0.204407 + 6.47752i) q^{42} +(-2.31047 - 1.33395i) q^{43} +(-3.83877 + 9.00043i) q^{44} +(-5.14078 + 10.6643i) q^{45} +(-0.955417 + 4.67540i) q^{46} +(1.23083 + 2.13186i) q^{47} +(5.94272 - 3.56147i) q^{48} +(4.26614 - 5.54978i) q^{49} +(14.6493 + 2.99358i) q^{50} +(-0.989340 - 3.20959i) q^{51} +(2.60972 - 0.315870i) q^{52} +(6.34427 + 10.9886i) q^{53} +(5.64196 - 4.70832i) q^{54} +19.3067 q^{55} +(-7.40260 - 1.09615i) q^{56} +(3.79508 + 3.52270i) q^{57} +(2.49463 - 2.81478i) q^{58} +(-3.49742 + 6.05771i) q^{59} +(-11.0640 - 8.02874i) q^{60} +(2.05369 - 1.18570i) q^{61} +(-0.831634 + 0.938361i) q^{62} +(-7.93697 + 0.0676656i) q^{63} +(2.82830 + 7.48336i) q^{64} +(-2.59342 - 4.49194i) q^{65} +(-10.9121 - 4.95401i) q^{66} +(1.20793 + 0.697399i) q^{67} +(3.85009 - 0.465999i) q^{68} +(-5.69773 - 1.30164i) q^{69} +(3.74081 + 14.2837i) q^{70} +2.15535i q^{71} +(4.19319 + 7.37680i) q^{72} +(3.96915 - 2.29159i) q^{73} +(-0.444996 + 0.502105i) q^{74} +(-4.07840 + 17.8525i) q^{75} +(-4.78130 + 3.59007i) q^{76} +(5.72003 + 11.6118i) q^{77} +(0.313184 + 3.20430i) q^{78} +(8.70741 - 5.02722i) q^{79} +(11.3924 - 10.9259i) q^{80} +(5.60590 + 7.04087i) q^{81} +(-13.6164 + 4.54295i) q^{82} +(-1.29635 + 2.24535i) q^{83} +(1.55084 - 9.03299i) q^{84} +(-3.82605 - 6.62692i) q^{85} +(2.82365 + 2.50249i) q^{86} +(3.37615 + 3.13384i) q^{87} +(7.86733 - 11.3839i) q^{88} +(-11.6706 - 6.73801i) q^{89} +(10.1425 - 13.3206i) q^{90} +(1.93326 - 2.89062i) q^{91} +(2.64761 - 6.20762i) q^{92} +(-1.12550 - 1.04472i) q^{93} +(-1.10179 - 3.30236i) q^{94} +(10.2169 + 5.89870i) q^{95} +(-9.24252 + 3.25206i) q^{96} +(1.88401 + 1.08773i) q^{97} +(-7.48246 + 6.48173i) q^{98} +(6.37343 - 13.2213i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

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