LMFDB - Embedded newform 100.2.l.b.3.9

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [100,2,Mod(3,100)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("100.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(100, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 7])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 100 = 2^{2} \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	100.l (of order $20$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [96] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$0.798504020213$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$12$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			3.9
Character	$\chi$	$=$	100.3
Dual form			100.2.l.b.67.9

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.831017 - 1.14430i) q^{2} +(1.30110 - 0.206075i) q^{3} +(-0.618823 - 1.90186i) q^{4} +(-2.22277 + 0.243473i) q^{5} +(0.845429 - 1.66010i) q^{6} +(1.76525 + 1.76525i) q^{7} +(-2.69054 - 0.872359i) q^{8} +(-1.20277 + 0.390802i) q^{9} +(-1.56856 + 2.74584i) q^{10} +(3.37074 + 1.09522i) q^{11} +(-1.19708 - 2.34699i) q^{12} +(-1.31515 + 2.58113i) q^{13} +(3.48691 - 0.553013i) q^{14} +(-2.84188 + 0.774840i) q^{15} +(-3.23412 + 2.35382i) q^{16} +(0.639749 - 4.03922i) q^{17} +(-0.552325 + 1.70108i) q^{18} +(-0.495334 + 0.359882i) q^{19} +(1.83855 + 4.07673i) q^{20} +(2.66054 + 1.93299i) q^{21} +(4.05440 - 2.94698i) q^{22} +(-3.20991 - 6.29981i) q^{23} +(-3.68044 - 0.580578i) q^{24} +(4.88144 - 1.08237i) q^{25} +(1.86066 + 3.64988i) q^{26} +(-5.00562 + 2.55049i) q^{27} +(2.26487 - 4.44962i) q^{28} +(-3.63844 + 5.00788i) q^{29} +(-1.47501 + 3.89586i) q^{30} +(3.31828 + 4.56723i) q^{31} +(0.00586407 + 5.65685i) q^{32} +(4.61138 + 0.730371i) q^{33} +(-4.09041 - 4.08872i) q^{34} +(-4.35353 - 3.49395i) q^{35} +(1.48755 + 2.04565i) q^{36} +(-3.49669 - 1.78165i) q^{37} +(0.000179519 + 0.865876i) q^{38} +(-1.17924 + 3.62933i) q^{39} +(6.19285 + 1.28398i) q^{40} +(-1.56830 - 4.82673i) q^{41} +(4.42287 - 1.43809i) q^{42} +(7.00553 - 7.00553i) q^{43} +(-0.00293923 - 7.08842i) q^{44} +(2.57833 - 1.16151i) q^{45} +(-9.87633 - 1.56216i) q^{46} +(-0.200048 - 1.26305i) q^{47} +(-3.72286 + 3.72904i) q^{48} -0.767820i q^{49} +(2.81801 - 6.48528i) q^{50} -5.38728i q^{51} +(5.72278 + 0.903967i) q^{52} +(-1.55163 - 9.79662i) q^{53} +(-1.24124 + 7.84740i) q^{54} +(-7.75905 - 1.61374i) q^{55} +(-3.20953 - 6.28938i) q^{56} +(-0.570319 + 0.570319i) q^{57} +(2.70689 + 8.32508i) q^{58} +(0.522299 + 1.60747i) q^{59} +(3.23226 + 4.92537i) q^{60} +(-3.19258 + 9.82574i) q^{61} +(7.98380 - 0.00165525i) q^{62} +(-2.81304 - 1.43331i) q^{63} +(6.47798 + 4.69423i) q^{64} +(2.29485 - 6.05746i) q^{65} +(4.66790 - 4.66983i) q^{66} +(-0.967870 - 0.153296i) q^{67} +(-8.07790 + 1.28285i) q^{68} +(-5.47466 - 7.53522i) q^{69} +(-7.61597 + 2.07819i) q^{70} +(4.90606 - 6.75261i) q^{71} +(3.57701 - 0.00222482i) q^{72} +(2.46559 - 1.25628i) q^{73} +(-4.94454 + 2.52066i) q^{74} +(6.12821 - 2.41421i) q^{75} +(0.990967 + 0.719352i) q^{76} +(4.01685 + 7.88352i) q^{77} +(3.17306 + 4.36544i) q^{78} +(11.9395 + 8.67456i) q^{79} +(6.61562 - 6.01944i) q^{80} +(-2.91783 + 2.11993i) q^{81} +(-6.82648 - 2.21649i) q^{82} +(-2.40351 + 15.1752i) q^{83} +(2.02988 - 6.25614i) q^{84} +(-0.438579 + 9.13402i) q^{85} +(-2.19468 - 13.8381i) q^{86} +(-3.70199 + 7.26556i) q^{87} +(-8.11368 - 5.88723i) q^{88} +(13.2677 + 4.31094i) q^{89} +(0.813527 - 3.91560i) q^{90} +(-6.87788 + 2.23476i) q^{91} +(-9.99497 + 10.0033i) q^{92} +(5.25862 + 5.25862i) q^{93} +(-1.61155 - 0.820703i) q^{94} +(1.01340 - 0.920535i) q^{95} +(1.17336 + 7.35894i) q^{96} +(-9.13034 + 1.44610i) q^{97} +(-0.878612 - 0.638071i) q^{98} -4.48223 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 10 q^{2} - 10 q^{4} - 20 q^{5} - 6 q^{6} - 10 q^{8} - 20 q^{9} - 10 q^{10} - 10 q^{12} - 20 q^{13} - 10 q^{14} - 14 q^{16} - 20 q^{17} + 20 q^{18} + 10 q^{20} - 12 q^{21} - 10 q^{22} - 20 q^{25}+ \cdots - 130 q^{98}+O(q^{100}) $ 96 * q - 10 * q^2 - 10 * q^4 - 20 * q^5 - 6 * q^6 - 10 * q^8 - 20 * q^9 - 10 * q^10 - 10 * q^12 - 20 * q^13 - 10 * q^14 - 14 * q^16 - 20 * q^17 + 20 * q^18 + 10 * q^20 - 12 * q^21 - 10 * q^22 - 20 * q^25 - 12 * q^26 - 10 * q^28 - 20 * q^29 - 10 * q^30 - 50 * q^32 - 20 * q^33 - 60 * q^34 - 10 * q^36 + 40 * q^37 + 20 * q^38 + 40 * q^40 - 28 * q^41 + 90 * q^42 + 60 * q^44 - 20 * q^45 - 6 * q^46 + 120 * q^48 + 80 * q^50 + 80 * q^52 - 40 * q^53 + 120 * q^54 - 6 * q^56 - 20 * q^57 + 60 * q^58 + 90 * q^60 + 12 * q^61 + 40 * q^62 + 20 * q^64 - 100 * q^65 - 30 * q^66 - 10 * q^68 - 20 * q^69 - 10 * q^70 - 40 * q^72 - 20 * q^73 - 20 * q^77 + 20 * q^78 - 10 * q^80 - 36 * q^81 - 50 * q^82 - 90 * q^84 + 100 * q^85 - 6 * q^86 - 130 * q^88 + 160 * q^89 - 160 * q^90 - 110 * q^92 + 60 * q^93 - 170 * q^94 + 14 * q^96 + 180 * q^97 - 130 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/100\mathbb{Z}\right)^\times$.

$n$	$51$	$77$
$\chi(n)$	$-1$	$e\left(\frac{7}{20}\right)$

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 $

$2$	0.831017	−	1.14430i	0.587618	−	0.809139i
$2$	0.831017	−	1.14430i	0.587618	−	0.809139i
$3$	1.30110	−	0.206075i	0.751192	−	0.118977i	0.230914	−	0.972974i	$-0.425828\pi$
$3$	1.30110	−	0.206075i	0.751192	−	0.118977i	0.520278	+	0.853997i	$0.325828\pi$
$4$	−0.618823	−	1.90186i	−0.309411	−	0.950928i
$5$	−2.22277	+	0.243473i	−0.994054	+	0.108884i
$5$	−2.22277	+	0.243473i	−0.994054	+	0.108884i
$6$	0.845429	−	1.66010i	0.345145	−	0.677732i
$7$	1.76525	+	1.76525i	0.667200	+	0.667200i	0.957067	−	0.289867i	$-0.0936111\pi$
$7$	1.76525	+	1.76525i	0.667200	+	0.667200i	−0.289867	+	0.957067i	$0.593611\pi$
$8$	−2.69054	−	0.872359i	−0.951249	−	0.308425i
$9$	−1.20277	+	0.390802i	−0.400922	+	0.130267i
$10$	−1.56856	+	2.74584i	−0.496021	+	0.868310i
$11$	3.37074	+	1.09522i	1.01632	+	0.330222i	0.769367	−	0.638807i	$-0.220572\pi$
$11$	3.37074	+	1.09522i	1.01632	+	0.330222i	0.246950	+	0.969028i	$0.420572\pi$
$12$	−1.19708	−	2.34699i	−0.345566	−	0.677517i
$13$	−1.31515	+	2.58113i	−0.364757	+	0.715876i	−0.998328	−	0.0578089i	$-0.981589\pi$
$13$	−1.31515	+	2.58113i	−0.364757	+	0.715876i	0.633571	+	0.773685i	$0.281589\pi$
$14$	3.48691	−	0.553013i	0.931916	−	0.147799i
$15$	−2.84188	+	0.774840i	−0.733771	+	0.200063i
$16$	−3.23412	+	2.35382i	−0.808529	+	0.588456i
$17$	0.639749	−	4.03922i	0.155162	−	0.979654i	−0.780089	−	0.625669i	$-0.784826\pi$
$17$	0.639749	−	4.03922i	0.155162	−	0.979654i	0.935251	−	0.353985i	$-0.115174\pi$
$18$	−0.552325	+	1.70108i	−0.130184	+	0.400949i
$19$	−0.495334	+	0.359882i	−0.113638	+	0.0825625i	−0.643153	−	0.765738i	$-0.722374\pi$
$19$	−0.495334	+	0.359882i	−0.113638	+	0.0825625i	0.529515	+	0.848301i	$0.322374\pi$
$20$	1.83855	+	4.07673i	0.411113	+	0.911584i
$21$	2.66054	+	1.93299i	0.580577	+	0.421814i
$22$	4.05440	−	2.94698i	0.864401	−	0.628298i
$23$	−3.20991	−	6.29981i	−0.669313	−	1.31360i	−0.936741	−	0.350023i	$-0.886174\pi$
$23$	−3.20991	−	6.29981i	−0.669313	−	1.31360i	0.267428	−	0.963578i	$-0.413826\pi$
$24$	−3.68044	−	0.580578i	−0.751266	−	0.118510i
$25$	4.88144	−	1.08237i	0.976288	−	0.216474i
$26$	1.86066	+	3.64988i	0.364905	+	0.715800i
$27$	−5.00562	+	2.55049i	−0.963331	+	0.490842i
$28$	2.26487	−	4.44962i	0.428020	−	0.840898i
$29$	−3.63844	+	5.00788i	−0.675641	+	0.929940i	−0.999871	−	0.0160384i	$-0.994895\pi$
$29$	−3.63844	+	5.00788i	−0.675641	+	0.929940i	0.324231	+	0.945978i	$0.394895\pi$
$30$	−1.47501	+	3.89586i	−0.269298	+	0.711283i
$31$	3.31828	+	4.56723i	0.595981	+	0.820298i	0.995333	−	0.0964998i	$-0.0307647\pi$
$31$	3.31828	+	4.56723i	0.595981	+	0.820298i	−0.399352	+	0.916798i	$0.630765\pi$
$32$	0.00586407	+	5.65685i	0.00103663	+	0.999999i
$33$	4.61138	+	0.730371i	0.802739	+	0.127141i
$34$	−4.09041	−	4.08872i	−0.701500	−	0.701209i
$35$	−4.35353	−	3.49395i	−0.735881	−	0.590586i
$36$	1.48755	+	2.04565i	0.247925	+	0.340942i
$37$	−3.49669	−	1.78165i	−0.574852	−	0.292902i	0.142294	−	0.989824i	$-0.454552\pi$
$37$	−3.49669	−	1.78165i	−0.574852	−	0.292902i	−0.717146	+	0.696923i	$0.754552\pi$
$38$	0.000179519		0.865876i	2.91218e−5		0.140464i
$39$	−1.17924	+	3.62933i	−0.188830	+	0.581158i
$40$	6.19285	+	1.28398i	0.979175	+	0.203016i
$41$	−1.56830	−	4.82673i	−0.244927	−	0.753808i	−0.995648	−	0.0931892i	$-0.970294\pi$
$41$	−1.56830	−	4.82673i	−0.244927	−	0.753808i	0.750721	−	0.660619i	$-0.229706\pi$
$42$	4.42287	−	1.43809i	0.682463	−	0.221902i
$43$	7.00553	−	7.00553i	1.06833	−	1.06833i	0.0708465	−	0.997487i	$-0.477430\pi$
$43$	7.00553	−	7.00553i	1.06833	−	1.06833i	0.997487	−	0.0708465i	$-0.0225701\pi$
$44$	−0.00293923	−	7.08842i	−0.000443105	−	1.06862i
$45$	2.57833	−	1.16151i	0.384354	−	0.173147i
$46$	−9.87633	−	1.56216i	−1.45619	−	0.230328i
$47$	−0.200048	−	1.26305i	−0.0291799	−	0.184235i	0.968793	−	0.247870i	$-0.0797306\pi$
$47$	−0.200048	−	1.26305i	−0.0291799	−	0.184235i	−0.997973	+	0.0636352i	$0.979731\pi$
$48$	−3.72286	+	3.72904i	−0.537348	+	0.538240i
$49$		−	0.767820i		−	0.109689i
$50$	2.81801	−	6.48528i	0.398527	−	0.917157i
$51$		−	5.38728i		−	0.754369i
$52$	5.72278	+	0.903967i	0.793607	+	0.125358i
$53$	−1.55163	−	9.79662i	−0.213133	−	1.34567i	−0.829630	−	0.558313i	$-0.811449\pi$
$53$	−1.55163	−	9.79662i	−0.213133	−	1.34567i	0.616497	−	0.787357i	$-0.288551\pi$
$54$	−1.24124	+	7.84740i	−0.168911	+	1.06790i
$55$	−7.75905	−	1.61374i	−1.04623	−	0.217597i
$56$	−3.20953	−	6.28938i	−0.428892	−	0.840454i
$57$	−0.570319	+	0.570319i	−0.0755406	+	0.0755406i
$58$	2.70689	+	8.32508i	0.355432	+	1.09314i
$59$	0.522299	+	1.60747i	0.0679976	+	0.209275i	0.979282	−	0.202503i	$-0.0649077\pi$
$59$	0.522299	+	1.60747i	0.0679976	+	0.209275i	−0.911284	+	0.411778i	$0.864908\pi$
$60$	3.23226	+	4.92537i	0.417283	+	0.635862i
$61$	−3.19258	+	9.82574i	−0.408767	+	1.25806i	0.508941	+	0.860801i	$0.330037\pi$
$61$	−3.19258	+	9.82574i	−0.408767	+	1.25806i	−0.917708	+	0.397255i	$0.869963\pi$
$62$	7.98380	−	0.00165525i	1.01394	−	0.000210217i
$63$	−2.81304	−	1.43331i	−0.354410	−	0.180581i
$64$	6.47798	+	4.69423i	0.809748	+	0.586778i
$65$	2.29485	−	6.05746i	0.284641	−	0.751336i
$66$	4.66790	−	4.66983i	0.574578	−	0.574817i
$67$	−0.967870	−	0.153296i	−0.118244	−	0.0187280i	0.0970319	−	0.995281i	$-0.469065\pi$
$67$	−0.967870	−	0.153296i	−0.118244	−	0.0187280i	−0.215276	+	0.976553i	$0.569065\pi$
$68$	−8.07790	+	1.28285i	−0.979590	+	0.155568i
$69$	−5.47466	−	7.53522i	−0.659072	−	0.907134i
$70$	−7.61597	+	2.07819i	−0.910282	+	0.248391i
$71$	4.90606	−	6.75261i	0.582242	−	0.801387i	−0.411697	−	0.911321i	$-0.635064\pi$
$71$	4.90606	−	6.75261i	0.582242	−	0.801387i	0.993939	+	0.109933i	$0.0350637\pi$
$72$	3.57701	−	0.00222482i	0.421554	−	0.000262198i
$73$	2.46559	−	1.25628i	0.288575	−	0.147036i	−0.303711	−	0.952764i	$-0.598226\pi$
$73$	2.46559	−	1.25628i	0.288575	−	0.147036i	0.592286	+	0.805728i	$0.298226\pi$
$74$	−4.94454	+	2.52066i	−0.574791	+	0.293021i
$75$	6.12821	−	2.41421i	0.707625	−	0.278769i
$76$	0.990967	+	0.719352i	0.113672	+	0.0825154i
$77$	4.01685	+	7.88352i	0.457763	+	0.898411i
$78$	3.17306	+	4.36544i	0.359278	+	0.494288i
$79$	11.9395	+	8.67456i	1.34330	+	0.975965i	0.999316	+	0.0369894i	$0.0117768\pi$
$79$	11.9395	+	8.67456i	1.34330	+	0.975965i	0.343984	+	0.938975i	$0.388223\pi$
$80$	6.61562	−	6.01944i	0.739649	−	0.672993i
$81$	−2.91783	+	2.11993i	−0.324204	+	0.235548i
$82$	−6.82648	−	2.21649i	−0.753859	−	0.244771i
$83$	−2.40351	+	15.1752i	−0.263820	+	1.66569i	0.399027	+	0.916939i	$0.369348\pi$
$83$	−2.40351	+	15.1752i	−0.263820	+	1.66569i	−0.662847	+	0.748755i	$0.730652\pi$
$84$	2.02988	−	6.25614i	0.221478	−	0.682601i
$85$	−0.438579	+	9.13402i	−0.0475706	+	0.990724i
$86$	−2.19468	−	13.8381i	−0.236659	−	1.49220i
$87$	−3.70199	+	7.26556i	−0.396895	+	0.778950i
$88$	−8.11368	−	5.88723i	−0.864922	−	0.627581i
$89$	13.2677	+	4.31094i	1.40638	+	0.456959i	0.911247	−	0.411860i	$-0.135121\pi$
$89$	13.2677	+	4.31094i	1.40638	+	0.456959i	0.495129	+	0.868820i	$0.335121\pi$
$90$	0.813527	−	3.91560i	0.0857533	−	0.412740i
$91$	−6.87788	+	2.23476i	−0.720998	+	0.234267i
$92$	−9.99497	+	10.0033i	−1.04205	+	1.04291i
$93$	5.25862	+	5.25862i	0.545294	+	0.545294i
$94$	−1.61155	−	0.820703i	−0.166218	−	0.0846490i
$95$	1.01340	−	0.920535i	0.103972	−	0.0944449i
$96$	1.17336	+	7.35894i	0.119756	+	0.751069i
$97$	−9.13034	+	1.44610i	−0.927045	+	0.146830i	−0.601660	−	0.798752i	$-0.705494\pi$
$97$	−9.13034	+	1.44610i	−0.927045	+	0.146830i	−0.325385	+	0.945582i	$0.605494\pi$
$98$	−0.878612	−	0.638071i	−0.0887533	−	0.0644549i
$99$	−4.48223			−0.450481
$100$	−5.07926	−	8.61401i	−0.507926	−	0.861401i
$101$	−0.190900			−0.0189952			−0.00949762	−	0.999955i	$-0.503023\pi$
$101$	−0.190900			−0.0189952			−0.00949762	+	0.999955i	$0.503023\pi$
$102$	−6.16463	−	4.47692i	−0.610390	−	0.443281i
$103$	5.18316	−	0.820932i	0.510712	−	0.0808889i	0.104240	−	0.994552i	$-0.466759\pi$
$103$	5.18316	−	0.820932i	0.510712	−	0.0808889i	0.406472	+	0.913663i	$0.366759\pi$
$104$	5.79013	−	5.79734i	0.567769	−	0.568476i
$105$	−6.38441	−	3.64884i	−0.623054	−	0.356090i
$106$	−12.4997	−	6.36563i	−1.21407	−	0.618285i
$107$	−4.72997	−	4.72997i	−0.457264	−	0.457264i	0.440493	−	0.897756i	$-0.354804\pi$
$107$	−4.72997	−	4.72997i	−0.457264	−	0.457264i	−0.897756	+	0.440493i	$0.854804\pi$
$108$	7.94825	+	7.94166i	0.764821	+	0.764187i
$109$	−3.71075	+	1.20570i	−0.355425	+	0.115485i	−0.481287	−	0.876563i	$-0.659830\pi$
$109$	−3.71075	+	1.20570i	−0.355425	+	0.115485i	0.125862	+	0.992048i	$0.459830\pi$
$110$	−8.29450	+	7.53760i	−0.790850	+	0.718682i
$111$	−4.91670	−	1.59753i	−0.466673	−	0.151631i
$112$	−9.86409	−	1.55393i	−0.932068	−	0.146833i
$113$	−3.97779	+	7.80686i	−0.374199	+	0.734408i	−0.998921	−	0.0464397i	$-0.985212\pi$
$113$	−3.97779	+	7.80686i	−0.374199	+	0.734408i	0.624722	+	0.780848i	$0.285212\pi$
$114$	0.178669	+	1.12656i	0.0167339	+	0.105512i
$115$	8.66874	+	13.2215i	0.808364	+	1.23291i
$116$	11.7758	+	3.82080i	1.09336	+	0.354752i
$117$	0.573107	−	3.61846i	0.0529838	−	0.334526i
$118$	2.27346	+	0.738171i	0.209289	+	0.0679542i
$119$	8.25952	−	6.00089i	0.757149	−	0.550101i
$120$	8.32213	+	0.394407i	0.759704	+	0.0360043i
$121$	1.26322	+	0.917779i	0.114838	+	0.0834345i
$122$	8.59046	+	11.8186i	0.777744	+	1.07001i
$123$	−3.03519	−	5.95689i	−0.273673	−	0.537114i
$124$	6.63278	−	9.13720i	0.595641	−	0.820545i
$125$	−10.5868	+	3.59436i	−0.946913	+	0.321489i
$126$	−3.97782	+	2.02784i	−0.354372	+	0.180654i
$127$	3.98182	−	2.02884i	0.353329	−	0.180030i	−0.268313	−	0.963332i	$-0.586466\pi$
$127$	3.98182	−	2.02884i	0.353329	−	0.180030i	0.621642	+	0.783302i	$0.286466\pi$
$128$	10.7549	−	3.51174i	0.950607	−	0.310397i
$129$	7.67126	−	10.5586i	0.675417	−	0.929632i
$130$	−5.02447	−	7.65984i	−0.440675	−	0.671812i
$131$	9.38485	+	12.9171i	0.819958	+	1.12858i	0.989710	+	0.143089i	$0.0457035\pi$
$131$	9.38485	+	12.9171i	0.819958	+	1.12858i	−0.169751	+	0.985487i	$0.554296\pi$
$132$	−1.46457	−	9.22216i	−0.127474	−	0.802686i
$133$	−1.50967	−	0.239108i	−0.130905	−	0.0207333i
$134$	−0.979732	+	0.980138i	−0.0846359	+	0.0846710i
$135$	10.5054	−	6.88789i	0.904159	−	0.592815i
$136$	−5.24491	+	10.3096i	−0.449748	+	0.884038i
$137$	0.307082	+	0.156466i	0.0262358	+	0.0133678i	0.467059	−	0.884226i	$-0.345313\pi$
$137$	0.307082	+	0.156466i	0.0262358	+	0.0133678i	−0.440823	+	0.897594i	$0.645313\pi$
$138$	−13.1721	+	0.00273091i	−1.12128	+	0.000232470i
$139$	−2.06614	+	6.35892i	−0.175248	+	0.539356i	−0.999645	−	0.0266553i	$-0.991514\pi$
$139$	−2.06614	+	6.35892i	−0.175248	+	0.539356i	0.824397	+	0.566012i	$0.191514\pi$
$140$	−3.95093	+	10.4419i	−0.333915	+	0.882504i
$141$	−0.520565	−	1.60213i	−0.0438395	−	0.134924i
$142$	−3.64996	−	11.2255i	−0.306298	−	0.942024i
$143$	−7.25994	+	7.25994i	−0.607107	+	0.607107i
$144$	2.97001	−	4.09500i	0.247500	−	0.341250i
$145$	6.86814	−	12.0172i	0.570368	−	0.997977i
$146$	0.611389	−	3.86535i	0.0505989	−	0.319898i
$147$	−0.158228	−	0.999013i	−0.0130504	−	0.0823972i
$148$	−1.22462	+	7.75272i	−0.100663	+	0.637270i
$149$			2.38636i			0.195498i	0.995211	+	0.0977490i	$0.0311642\pi$
$149$			2.38636i			0.195498i	−0.995211	+	0.0977490i	$0.968836\pi$
$150$	2.33007	−	9.01874i	0.190250	−	0.736377i
$151$		−	18.9292i		−	1.54044i	−0.637781	−	0.770218i	$-0.720147\pi$
$151$		−	18.9292i		−	1.54044i	0.637781	−	0.770218i	$-0.279853\pi$
$152$	1.64666	−	0.536165i	0.133562	−	0.0434888i
$153$	0.809067	+	5.10825i	0.0654092	+	0.412977i
$154$	12.3591	+	1.95487i	0.995929	+	0.157528i
$155$	−8.48779	−	9.34400i	−0.681756	−	0.750528i
$156$	7.63221	−	0.00316471i	0.611066	−	0.000253380i
$157$	4.50054	−	4.50054i	0.359183	−	0.359183i	−0.504329	−	0.863512i	$-0.668260\pi$
$157$	4.50054	−	4.50054i	0.359183	−	0.359183i	0.863512	+	0.504329i	$0.168260\pi$
$158$	19.8482	−	6.45362i	1.57904	−	0.513422i
$159$	−4.03767	−	12.4267i	−0.320208	−	0.985499i
$160$	−1.39032	−	12.5725i	−0.109915	−	0.993941i
$161$	5.45442	−	16.7870i	0.429869	−	1.32300i
$162$	0.00105748	+	5.10056i	8.30834e−5	+	0.400738i
$163$	8.32126	+	4.23989i	0.651772	+	0.332094i	0.748421	−	0.663224i	$-0.230812\pi$
$163$	8.32126	+	4.23989i	0.651772	+	0.332094i	−0.0966491	+	0.995319i	$0.530812\pi$
$164$	−8.20925	+	5.96957i	−0.641034	+	0.466145i
$165$	−10.4279	−	0.500705i	−0.811810	−	0.0389798i
$166$	15.3675	+	15.3612i	1.19275	+	1.19226i
$167$	−0.891975	−	0.141275i	−0.0690231	−	0.0109322i	0.121827	−	0.992551i	$-0.461125\pi$
$167$	−0.891975	−	0.141275i	−0.0690231	−	0.0109322i	−0.190850	+	0.981619i	$0.561125\pi$
$168$	−5.47201	−	7.52174i	−0.422175	−	0.580315i
$169$	2.70861	+	3.72808i	0.208355	+	0.286775i
$170$	10.0876	+	8.09239i	0.773680	+	0.620658i
$171$	0.455129	−	0.626431i	0.0348046	−	0.0479044i
$172$	−17.6587	−	8.98834i	−1.34646	−	0.685354i
$173$	−4.60848	+	2.34814i	−0.350376	+	0.178526i	−0.620317	−	0.784351i	$-0.712996\pi$
$173$	−4.60848	+	2.34814i	−0.350376	+	0.178526i	0.269941	+	0.962877i	$0.412996\pi$
$174$	5.23753	+	10.2740i	0.397056	+	0.778867i
$175$	10.5276	+	6.70630i	0.795811	+	0.506948i
$176$	−13.4793	+	4.39206i	−1.01604	+	0.331064i
$177$	1.01082	+	1.98385i	0.0759782	+	0.149116i
$178$	15.9587	−	11.5997i	1.19615	−	0.869436i
$179$	−13.7275	−	9.97361i	−1.02604	−	0.745462i	−0.0585284	−	0.998286i	$-0.518641\pi$
$179$	−13.7275	−	9.97361i	−1.02604	−	0.745462i	−0.967512	+	0.252823i	$0.918641\pi$
$180$	−3.80454	−	4.18484i	−0.283574	−	0.311920i
$181$	−2.44454	+	1.77606i	−0.181701	+	0.132014i	−0.674918	−	0.737893i	$-0.735821\pi$
$181$	−2.44454	+	1.77606i	−0.181701	+	0.132014i	0.493217	+	0.869907i	$0.335821\pi$
$182$	−3.15841	+	9.72745i	−0.234117	+	0.721047i
$183$	−2.12904	+	13.4422i	−0.157383	+	0.993677i
$184$	3.14070	+	19.7501i	0.231535	+	1.45599i
$185$	8.20613	+	3.10886i	0.603326	+	0.228568i
$186$	10.3874	−	1.64741i	0.761642	−	0.120794i
$187$	6.58026	−	12.9145i	0.481197	−	0.944402i
$188$	−2.27835	+	1.16207i	−0.166166	+	0.0847524i
$189$	−13.3384	−	4.33390i	−0.970224	−	0.315245i
$190$	−0.211216	−	1.92460i	−0.0153232	−	0.139625i
$191$	−22.9595	+	7.45999i	−1.66129	+	0.539786i	−0.981142	−	0.193290i	$-0.938084\pi$
$191$	−22.9595	+	7.45999i	−1.66129	+	0.539786i	−0.680148	+	0.733075i	$0.738084\pi$
$192$	9.39588	+	4.77273i	0.678090	+	0.344442i
$193$	0.159049	+	0.159049i	0.0114486	+	0.0114486i	0.712808	−	0.701359i	$-0.247423\pi$
$193$	0.159049	+	0.159049i	0.0114486	+	0.0114486i	−0.701359	+	0.712808i	$0.747423\pi$
$194$	−5.93269	+	11.6495i	−0.425942	+	0.836388i
$195$	1.73754	−	8.35430i	0.124428	−	0.598264i
$196$	−1.46028	+	0.475144i	−0.104306	+	0.0339389i
$197$	17.2655	−	2.73459i	1.23012	−	0.194832i	0.492658	−	0.870223i	$-0.336025\pi$
$197$	17.2655	−	2.73459i	1.23012	−	0.194832i	0.737460	+	0.675391i	$0.236025\pi$
$198$	−3.72481	+	5.12899i	−0.264711	+	0.364502i
$199$	−13.3642			−0.947361			−0.473681	−	0.880697i	$-0.657075\pi$
$199$	−13.3642			−0.947361			−0.473681	+	0.880697i	$0.657075\pi$
$200$	−14.0779	−	1.34622i	−0.995459	−	0.0951919i
$201$	−1.29089			−0.0910524
$202$	−0.158641	+	0.218446i	−0.0111619	+	0.0153698i
$203$	−15.2629	+	2.41740i	−1.07124	+	0.169668i
$204$	−10.2458	+	3.33377i	−0.717351	+	0.233410i
$205$	4.66115	+	10.3469i	0.325549	+	0.722658i
$206$	3.36791	−	6.61328i	0.234653	−	0.460769i
$207$	6.32275	+	6.32275i	0.439462	+	0.439462i
$208$	−1.82217	−	11.4433i	−0.126345	−	0.793450i
$209$	−2.06380	+	0.670568i	−0.142756	+	0.0463841i
$210$	−9.48090	+	4.27340i	−0.654244	+	0.294892i
$211$	−15.9347	−	5.17748i	−1.09699	−	0.356433i	−0.296044	−	0.955174i	$-0.595668\pi$
$211$	−15.9347	−	5.17748i	−1.09699	−	0.356433i	−0.800942	+	0.598742i	$0.795668\pi$
$212$	−17.6716	+	9.01336i	−1.21369	+	0.619040i
$213$	4.99175	−	9.79686i	0.342029	−	0.671270i
$214$	−9.34317	+	1.48180i	−0.638686	+	0.101294i
$215$	−13.8661	+	17.2774i	−0.945657	+	1.17831i
$216$	15.6927	−	2.49549i	1.06776	−	0.169797i
$217$	−2.20469	+	13.9199i	−0.149664	+	0.944942i
$218$	−1.70402	+	5.24815i	−0.115411	+	0.355449i
$219$	2.94909	−	2.14264i	0.199281	−	0.144786i
$220$	1.73237	+	15.7552i	0.116796	+	1.06222i
$221$	9.58437	+	6.96345i	0.644714	+	0.468412i
$222$	−5.91391	+	4.29858i	−0.396916	+	0.288502i
$223$	−3.53540	−	6.93861i	−0.236748	−	0.464643i	0.741812	−	0.670608i	$-0.233967\pi$
$223$	−3.53540	−	6.93861i	−0.236748	−	0.464643i	−0.978559	+	0.205965i	$0.933967\pi$
$224$	−9.97538	+	9.99608i	−0.666508	+	0.667891i
$225$	−5.44824	+	3.20951i	−0.363216	+	0.213968i
$226$	5.62774	+	11.0394i	0.374352	+	0.734330i
$227$	13.1910	−	6.72115i	0.875518	−	0.446099i	0.0423395	−	0.999103i	$-0.486519\pi$
$227$	13.1910	−	6.72115i	0.875518	−	0.446099i	0.833178	+	0.553005i	$0.186519\pi$
$228$	1.43759	+	0.731739i	0.0952068	+	0.0484606i
$229$	5.10230	−	7.02271i	0.337170	−	0.464074i	−0.606443	−	0.795127i	$-0.707404\pi$
$229$	5.10230	−	7.02271i	0.337170	−	0.464074i	0.943612	+	0.331053i	$0.107404\pi$
$230$	22.3332	+	1.06771i	1.47261	+	0.0704026i
$231$	6.85094	+	9.42951i	0.450759	+	0.620416i
$232$	14.1580	−	10.2999i	0.929519	−	0.676219i
$233$	−10.9395	−	1.73264i	−0.716669	−	0.113509i	−0.212559	−	0.977148i	$-0.568180\pi$
$233$	−10.9395	−	1.73264i	−0.716669	−	0.113509i	−0.504111	+	0.863639i	$0.668180\pi$
$234$	−3.66432	−	3.66280i	−0.239544	−	0.239445i
$235$	0.752178	+	2.75877i	0.0490667	+	0.179962i
$236$	2.73397	−	1.98808i	0.177966	−	0.129413i
$237$	17.3221	+	8.82608i	1.12519	+	0.573315i
$238$	−0.00299341	−	14.4382i	−0.000194034	−	0.935888i
$239$	5.40363	−	16.6307i	0.349532	−	1.07575i	−0.609581	−	0.792724i	$-0.708662\pi$
$239$	5.40363	−	16.6307i	0.349532	−	1.07575i	0.959113	−	0.283025i	$-0.0913379\pi$
$240$	7.36715	−	9.19522i	0.475548	−	0.593549i
$241$	−7.93314	−	24.4157i	−0.511019	−	1.57275i	−0.790411	−	0.612577i	$-0.790133\pi$
$241$	−7.93314	−	24.4157i	−0.511019	−	1.57275i	0.279392	−	0.960177i	$-0.409867\pi$
$242$	2.09996	−	0.682801i	0.134991	−	0.0438921i
$243$	8.55790	−	8.55790i	0.548989	−	0.548989i
$244$	20.6628	−	0.00856787i	1.32280	−	0.000548501i
$245$	0.186943	+	1.70669i	0.0119433	+	0.109036i
$246$	−9.33873	−	1.47712i	−0.595415	−	0.0941780i
$247$	−0.277461	−	1.75182i	−0.0176544	−	0.111466i
$248$	−4.94371	−	15.1830i	−0.313926	−	0.964123i
$249$			20.2398i			1.28265i
$250$	−4.68481	+	15.1014i	−0.296294	+	0.955097i
$251$			20.7144i			1.30748i	0.756719	+	0.653740i	$0.226801\pi$
$251$			20.7144i			1.30748i	−0.756719	+	0.653740i	$0.773199\pi$
$252$	−0.985187	+	6.23696i	−0.0620609	+	0.392892i
$253$	−3.92011	−	24.7506i	−0.246455	−	1.55606i
$254$	0.987368	−	6.24237i	0.0619530	−	0.391681i
$255$	1.31165	+	11.9747i	0.0821389	+	0.749884i
$256$	4.91903	−	15.2251i	0.307439	−	0.951568i
$257$	−4.94866	+	4.94866i	−0.308689	+	0.308689i	−0.844401	−	0.535712i	$-0.820043\pi$
$257$	−4.94866	+	4.94866i	−0.308689	+	0.308689i	0.535712	+	0.844401i	$0.320043\pi$
$258$	−5.70719	−	17.5525i	−0.355314	−	1.09277i
$259$	−3.02746	−	9.31756i	−0.188117	−	0.578965i
$260$	−12.9405	−	0.615974i	−0.802538	−	0.0382011i
$261$	2.41910	−	7.44521i	0.149738	−	0.460847i
$262$	22.5800	−	0.00468142i	1.39500	−	0.000289219i
$263$	10.1580	+	5.17578i	0.626372	+	0.319152i	0.738207	−	0.674574i	$-0.235673\pi$
$263$	10.1580	+	5.17578i	0.626372	+	0.319152i	−0.111835	+	0.993727i	$0.535673\pi$
$264$	−11.7700	−	5.98787i	−0.724390	−	0.368528i
$265$	5.83414	+	21.3979i	0.358388	+	1.31446i
$266$	−1.52817	+	1.52880i	−0.0936979	+	0.0937368i
$267$	18.1511	+	2.87485i	1.11083	+	0.175938i
$268$	0.307394	+	1.93561i	0.0187771	+	0.118236i
$269$	5.54058	+	7.62595i	0.337815	+	0.464963i	0.943802	−	0.330512i	$-0.107222\pi$
$269$	5.54058	+	7.62595i	0.337815	+	0.464963i	−0.605987	+	0.795475i	$0.707222\pi$
$270$	0.848365	−	17.7452i	0.0516299	−	1.07994i
$271$	0.727303	−	1.00105i	0.0441805	−	0.0608092i	−0.786355	−	0.617775i	$-0.788034\pi$
$271$	0.727303	−	1.00105i	0.0441805	−	0.0608092i	0.830536	+	0.556965i	$0.188034\pi$
$272$	7.43858	+	14.5692i	0.451030	+	0.883385i
$273$	−8.48831	+	4.32501i	−0.513736	+	0.261762i
$274$	0.434233	−	0.221366i	0.0262330	−	0.0133732i
$275$	17.6395	+	1.69787i	1.06370	+	0.102386i
$276$	−10.9431	+	15.0750i	−0.658695	+	0.907407i
$277$	−10.6791	−	20.9589i	−0.641645	−	1.25930i	−0.951246	−	0.308432i	$-0.900196\pi$
$277$	−10.6791	−	20.9589i	−0.641645	−	1.25930i	0.309602	−	0.950866i	$-0.399804\pi$
$278$	5.55948	+	7.64864i	0.333436	+	0.458735i
$279$	−5.77600	−	4.19651i	−0.345800	−	0.251239i
$280$	8.66535	+	13.1984i	0.517854	+	0.788758i
$281$	−18.0518	+	13.1154i	−1.07688	+	0.782399i	−0.977136	−	0.212614i	$-0.931802\pi$
$281$	−18.0518	+	13.1154i	−1.07688	+	0.782399i	−0.0997439	+	0.995013i	$0.531802\pi$
$282$	−2.26591	−	0.735721i	−0.134933	−	0.0438115i
$283$	−1.07416	+	6.78199i	−0.0638522	+	0.403147i	0.934974	+	0.354716i	$0.115422\pi$
$283$	−1.07416	+	6.78199i	−0.0638522	+	0.403147i	−0.998827	+	0.0484316i	$0.984578\pi$
$284$	−15.8785	−	5.15195i	−0.942214	−	0.305712i
$285$	1.12883	−	1.40655i	0.0668663	−	0.0833166i
$286$	2.27438	+	14.3406i	0.134487	+	0.847980i
$287$	5.75193	−	11.2888i	0.339525	−	0.666356i
$288$	−2.21776	−	6.80158i	−0.130683	−	0.400787i
$289$	0.261968	+	0.0851186i	0.0154099	+	0.00500698i
$290$	−8.04373	−	17.8457i	−0.472344	−	1.04794i
$291$	−11.5815	+	3.76306i	−0.678920	+	0.220594i
$292$	−3.91502	−	3.91178i	−0.229109	−	0.228919i
$293$	−12.5875	−	12.5875i	−0.735369	−	0.735369i	0.236309	−	0.971678i	$-0.424062\pi$
$293$	−12.5875	−	12.5875i	−0.735369	−	0.735369i	−0.971678	+	0.236309i	$0.924062\pi$
$294$	−1.27466	−	0.649137i	−0.0743394	−	0.0378584i
$295$	−1.55233	−	3.44588i	−0.0903800	−	0.200627i
$296$	7.85373	+	7.84396i	0.456489	+	0.455921i
$297$	−19.6660	+	3.11479i	−1.14114	+	0.180738i
$298$	2.73070	+	1.98310i	0.158185	+	0.114878i
$299$	20.4821			1.18451
$300$	−8.38377	−	10.1610i	−0.484037	−	0.586646i
$301$	24.7330			1.42558
$302$	−21.6606	−	15.7305i	−1.24643	−	0.905187i
$303$	−0.248380	+	0.0393396i	−0.0142691	+	0.00226000i
$304$	0.754872	−	2.32983i	0.0432949	−	0.133625i
$305$	4.70407	−	22.6177i	0.269355	−	1.29509i
$306$	6.51769	+	3.31923i	0.372592	+	0.189748i
$307$	−0.576350	−	0.576350i	−0.0328940	−	0.0328940i	0.690468	−	0.723362i	$-0.257404\pi$
$307$	−0.576350	−	0.576350i	−0.0328940	−	0.0328940i	−0.723362	+	0.690468i	$0.757404\pi$
$308$	12.5076	−	12.5180i	0.712687	−	0.713278i
$309$	6.57466	−	2.13624i	0.374019	−	0.121526i
$310$	−17.7458	+	1.94752i	−1.00789	+	0.110611i
$311$	26.3892	+	8.57436i	1.49639	+	0.486207i	0.938963	−	0.344017i	$-0.111788\pi$
$311$	26.3892	+	8.57436i	1.49639	+	0.486207i	0.557429	+	0.830225i	$0.311788\pi$
$312$	6.33887	−	8.73613i	0.358868	−	0.494586i
$313$	−8.79801	+	17.2671i	−0.497293	+	0.975992i	0.496842	+	0.867841i	$0.334493\pi$
$313$	−8.79801	+	17.2671i	−0.497293	+	0.975992i	−0.994134	+	0.108151i	$0.965507\pi$
$314$	−1.40992	−	8.88998i	−0.0795666	−	0.501690i
$315$	6.60172	+	2.50104i	0.371965	+	0.140917i
$316$	9.10934	−	28.0753i	0.512440	−	1.57936i
$317$	−0.803702	+	5.07438i	−0.0451404	+	0.285005i	−0.999924	−	0.0122950i	$-0.996086\pi$
$317$	−0.803702	+	5.07438i	−0.0451404	+	0.285005i	0.954784	+	0.297300i	$0.0960863\pi$
$318$	−17.5752	−	5.70648i	−0.985565	−	0.320004i
$319$	−17.7490	+	12.8954i	−0.993751	+	0.722003i
$320$	−15.5420	−	8.85699i	−0.868824	−	0.495121i
$321$	−7.12891	−	5.17946i	−0.397897	−	0.289089i
$322$	−14.6766	−	20.1917i	−0.817892	−	1.12524i
$323$	1.13675	+	2.23100i	0.0632505	+	0.124136i
$324$	5.83742	+	4.23744i	0.324301	+	0.235413i
$325$	−3.62610	+	14.0231i	−0.201140	+	0.777862i
$326$	11.7668	−	5.99856i	0.651703	−	0.332229i
$327$	−4.57961	+	2.33343i	−0.253253	+	0.129039i
$328$	0.00892826	+	14.3546i	0.000492981	+	0.792601i
$329$	1.87646	−	2.58273i	0.103453	−	0.142390i
$330$	−9.23870	+	11.5165i	−0.508574	+	0.633962i
$331$	−5.15477	−	7.09493i	−0.283332	−	0.389973i	0.643502	−	0.765444i	$-0.277481\pi$
$331$	−5.15477	−	7.09493i	−0.283332	−	0.389973i	−0.926834	+	0.375472i	$0.877481\pi$
$332$	30.3484	−	4.81961i	1.66558	−	0.264511i
$333$	4.90197	+	0.776396i	0.268626	+	0.0425462i
$334$	−0.902906	+	0.903281i	−0.0494048	+	0.0494253i
$335$	2.18868	+	0.105092i	0.119580	+	0.00574177i
$336$	−13.1544	+	0.0109090i	−0.717633	+	0.000595136i
$337$	−10.2411	−	5.21810i	−0.557869	−	0.284248i	0.152236	−	0.988344i	$-0.451353\pi$
$337$	−10.2411	−	5.21810i	−0.557869	−	0.284248i	−0.710105	+	0.704096i	$0.751353\pi$
$338$	6.51693	−	0.00135113i	0.354474	−	7.34917e-5i
$339$	−3.56673	+	10.9773i	−0.193718	+	0.596203i
$340$	17.6430	−	4.81823i	0.956826	−	0.261305i
$341$	6.18296	+	19.0292i	0.334826	+	1.03049i
$342$	−0.338602	−	1.04138i	−0.0183095	−	0.0563112i
$343$	13.7121	−	13.7121i	0.740384	−	0.740384i
$344$	−24.9600	+	12.7373i	−1.34575	+	0.686750i
$345$	14.0035	+	15.4162i	0.753926	+	0.829978i
$346$	−1.14276	+	7.22480i	−0.0614352	+	0.388408i
$347$	0.764537	+	4.82710i	0.0410425	+	0.259132i	0.999674	−	0.0255165i	$-0.00812304\pi$
$347$	0.764537	+	4.82710i	0.0410425	+	0.259132i	−0.958632	+	0.284649i	$0.908123\pi$
$348$	16.1089	+	2.54456i	0.863529	+	0.136403i
$349$		−	23.6366i		−	1.26524i	−0.774462	−	0.632620i	$-0.781980\pi$
$349$		−	23.6366i		−	1.26524i	0.774462	−	0.632620i	$-0.218020\pi$
$350$	16.4226	−	6.47362i	0.877824	−	0.346030i
$351$		−	16.2744i		−	0.868664i
$352$	−6.17574	+	19.0742i	−0.329168	+	1.01666i
$353$	4.24474	+	26.8002i	0.225925	+	1.42643i	0.796227	+	0.604998i	$0.206826\pi$
$353$	4.24474	+	26.8002i	0.225925	+	1.42643i	−0.570302	+	0.821435i	$0.693174\pi$
$354$	3.11013	+	0.491935i	0.165301	+	0.0261460i
$355$	−9.26098	+	16.2040i	−0.491522	+	0.860020i
$356$	−0.0115692	−	27.9010i	−0.000613167	−	1.47875i
$357$	9.50986	−	9.50986i	0.503315	−	0.503315i
$358$	−22.8205	+	7.42007i	−1.20610	+	0.392163i
$359$	4.06535	+	12.5119i	0.214561	+	0.660351i	0.999184	+	0.0403784i	$0.0128563\pi$
$359$	4.06535	+	12.5119i	0.214561	+	0.660351i	−0.784623	+	0.619973i	$0.787144\pi$
$360$	−7.95033	+	0.875848i	−0.419019	+	0.0461612i
$361$	−5.75548	+	17.7136i	−0.302920	+	0.932292i
$362$	0.000885950		4.27322i	4.65645e−5		0.224595i
$363$	1.83270	+	0.933810i	0.0961920	+	0.0490123i
$364$	8.50638	+	11.6978i	0.445856	+	0.613133i
$365$	−5.17457	+	3.39272i	−0.270849	+	0.177583i
$366$	13.6126	+	13.6069i	0.711541	+	0.711246i
$367$	−6.14838	−	0.973808i	−0.320943	−	0.0508324i	−0.00611559	−	0.999981i	$-0.501947\pi$
$367$	−6.14838	−	0.973808i	−0.320943	−	0.0508324i	−0.314827	+	0.949149i	$0.601947\pi$
$368$	25.2099	+	12.8187i	1.31416	+	0.668224i
$369$	3.77259	+	5.19253i	0.196393	+	0.270312i
$370$	10.3769	−	6.80672i	0.539468	−	0.353864i
$371$	14.5544	−	20.0325i	0.755628	−	1.04003i
$372$	6.74699	−	13.2553i	0.349815	−	0.687255i
$373$	23.3647	−	11.9049i	1.20978	−	0.616413i	0.271549	−	0.962425i	$-0.412464\pi$
$373$	23.3647	−	11.9049i	1.20978	−	0.616413i	0.938230	+	0.346011i	$0.112464\pi$
$374$	−9.30969	−	18.2619i	−0.481392	−	0.944302i
$375$	−13.0338	+	6.85830i	−0.673064	+	0.354161i
$376$	−0.563598	+	3.57280i	−0.0290653	+	0.184253i
$377$	−8.14088	−	15.9774i	−0.419277	−	0.822877i
$378$	−16.0437	+	11.6615i	−0.825198	+	0.599803i
$379$	2.41677	+	1.75589i	0.124141	+	0.0901939i	0.648123	−	0.761535i	$-0.275554\pi$
$379$	2.41677	+	1.75589i	0.124141	+	0.0901939i	−0.523982	+	0.851729i	$0.675554\pi$
$380$	−2.37784	−	1.35768i	−0.121981	−	0.0696477i
$381$	4.76267	−	3.46028i	0.243999	−	0.177275i
$382$	−10.5433	+	32.4718i	−0.539441	+	1.66140i
$383$	0.543169	−	3.42943i	0.0277546	−	0.175236i	−0.969917	−	0.243436i	$-0.921726\pi$
$383$	0.543169	−	3.42943i	0.0277546	−	0.175236i	0.997672	+	0.0681998i	$0.0217255\pi$
$384$	13.2695	−	6.78545i	0.677159	−	0.346268i
$385$	−10.8480	−	16.5453i	−0.552864	−	0.843226i
$386$	0.314172	−	0.0498268i	0.0159909	−	0.00253612i
$387$	−5.68824	+	11.1638i	−0.289149	+	0.567488i
$388$	8.40034	+	16.4697i	0.426463	+	0.836123i
$389$	−23.2661	−	7.55963i	−1.17964	−	0.383288i	−0.347407	−	0.937714i	$-0.612938\pi$
$389$	−23.2661	−	7.55963i	−1.17964	−	0.383288i	−0.832233	+	0.554426i	$0.812938\pi$
$390$	−8.11585	−	8.93082i	−0.410962	−	0.452230i
$391$	−27.4998	+	8.93524i	−1.39073	+	0.451874i
$392$	−0.669814	+	2.06585i	−0.0338307	+	0.104341i
$393$	14.8726	+	14.8726i	0.750221	+	0.750221i
$394$	11.2188	−	22.0294i	0.565193	−	1.10982i
$395$	−28.6508	−	16.3746i	−1.44158	−	0.823898i
$396$	2.77371	+	8.52456i	0.139384	+	0.428375i
$397$	19.2258	−	3.04507i	0.964917	−	0.152828i	0.345957	−	0.938250i	$-0.387554\pi$
$397$	19.2258	−	3.04507i	0.964917	−	0.152828i	0.618960	+	0.785423i	$0.287554\pi$
$398$	−11.1059	+	15.2926i	−0.556686	+	0.766547i
$399$	−2.01351			−0.100801
$400$	−13.2395	+	14.9906i	−0.661973	+	0.749528i
$401$	−1.04458			−0.0521636			−0.0260818	−	0.999660i	$-0.508303\pi$
$401$	−1.04458			−0.0521636			−0.0260818	+	0.999660i	$0.508303\pi$
$402$	−1.07275	+	1.47716i	−0.0535040	+	0.0736740i
$403$	−16.1526	+	2.55833i	−0.804620	+	0.127439i
$404$	0.118133	+	0.363064i	0.00587734	+	0.0180631i
$405$	5.96954	−	5.42253i	0.296629	−	0.269448i
$406$	−9.91748	+	19.4741i	−0.492196	+	0.966484i
$407$	−9.83513	−	9.83513i	−0.487509	−	0.487509i
$408$	−4.69964	+	14.4947i	−0.232667	+	0.717593i
$409$	22.3339	−	7.25672i	1.10434	−	0.358822i	0.300568	−	0.953760i	$-0.402824\pi$
$409$	22.3339	−	7.25672i	1.10434	−	0.358822i	0.803771	+	0.594939i	$0.202824\pi$
$410$	15.7134	+	3.26470i	0.776029	+	0.161232i
$411$	0.431789	+	0.140297i	0.0212986	+	0.00692033i
$412$	−4.76875	−	9.34962i	−0.234940	−	0.460623i
$413$	−1.91560	+	3.75957i	−0.0942603	+	0.184996i
$414$	12.4894	−	1.98078i	0.613821	−	0.0973501i
$415$	1.64773	−	34.3162i	0.0808837	−	1.68452i
$416$	−14.6088	−	7.42447i	−0.716254	−	0.364015i
$417$	−1.37785	+	8.69939i	−0.0674735	+	0.426011i
$418$	−0.947721	+	2.91884i	−0.0463545	+	0.142765i
$419$	10.1986	−	7.40975i	0.498236	−	0.361990i	−0.310107	−	0.950702i	$-0.600365\pi$
$419$	10.1986	−	7.40975i	0.498236	−	0.361990i	0.808343	+	0.588712i	$0.200365\pi$
$420$	−2.98876	+	14.4002i	−0.145836	+	0.702658i
$421$	−1.27076	−	0.923259i	−0.0619329	−	0.0449969i	0.556388	−	0.830923i	$-0.312187\pi$
$421$	−1.27076	−	0.923259i	−0.0619329	−	0.0449969i	−0.618321	+	0.785926i	$0.712187\pi$
$422$	−19.1665	+	13.9314i	−0.933012	+	0.678168i
$423$	0.734213	+	1.44097i	0.0356987	+	0.0700626i
$424$	−4.37145	+	27.7118i	−0.212296	+	1.34580i
$425$	−1.24902	−	20.4096i	−0.0605865	−	0.990013i
$426$	−7.06227	−	13.8534i	−0.342168	−	0.671199i
$427$	−22.9805	+	11.7092i	−1.11210	+	0.566646i
$428$	−6.06872	+	11.9227i	−0.293342	+	0.576308i
$429$	−7.94984	+	10.9420i	−0.383822	+	0.528286i
$430$	8.24748	+	30.2246i	0.397729	+	1.45756i
$431$	10.6448	+	14.6513i	0.512743	+	0.705730i	0.984379	−	0.176063i	$-0.0563363\pi$
$431$	10.6448	+	14.6513i	0.512743	+	0.705730i	−0.471636	+	0.881793i	$0.656336\pi$
$432$	10.1853	−	20.0309i	0.490043	−	0.963738i
$433$	−18.3208	−	2.90172i	−0.880439	−	0.139448i	−0.300183	−	0.953882i	$-0.597048\pi$
$433$	−18.3208	−	2.90172i	−0.880439	−	0.139448i	−0.580256	+	0.814434i	$0.697048\pi$
$434$	14.0963	+	14.0904i	0.676644	+	0.676363i
$435$	6.45971	−	17.0510i	0.309720	−	0.817534i
$436$	4.58936	+	6.31120i	0.219790	+	0.302252i
$437$	3.85717	+	1.96532i	0.184513	+	0.0940142i
$438$	−0.00106881	−	5.15521i	−5.10697e−5	−	0.246325i
$439$	1.84788	−	5.68719i	0.0881945	−	0.271435i	−0.897226	−	0.441572i	$-0.854421\pi$
$439$	1.84788	−	5.68719i	0.0881945	−	0.271435i	0.985420	+	0.170137i	$0.0544210\pi$
$440$	19.4683	+	11.1105i	0.928113	+	0.529673i
$441$	0.300066	+	0.923507i	0.0142888	+	0.0439765i
$442$	15.9330	−	5.18060i	0.757856	−	0.246416i
$443$	−4.59886	+	4.59886i	−0.218498	+	0.218498i	−0.807865	−	0.589367i	$-0.799377\pi$
$443$	−4.59886	+	4.59886i	−0.218498	+	0.218498i	0.589367	+	0.807865i	$0.299377\pi$
$444$	0.00428728	+	10.3395i	0.000203465	+	0.490689i
$445$	−30.5407	−	6.35193i	−1.44777	−	0.301110i
$446$	−10.8778	−	1.72056i	−0.515078	−	0.0814709i
$447$	0.491768	+	3.10490i	0.0232598	+	0.146857i
$448$	3.14876	+	19.7217i	0.148765	+	0.931762i
$449$		−	0.980705i		−	0.0462823i	−0.999732	−	0.0231412i	$-0.992633\pi$
$449$		−	0.980705i		−	0.0462823i	0.999732	−	0.0231412i	$-0.00736672\pi$
$450$	−0.854946	+	8.90155i	−0.0403026	+	0.419623i
$451$		−	17.9873i		−	0.846989i
$452$	17.3091	+	2.73413i	0.814151	+	0.128603i
$453$	−3.90083	−	24.6288i	−0.183277	−	1.15716i
$454$	3.27096	−	20.6798i	0.153514	−	0.970551i
$455$	14.7439	−	6.64194i	0.691204	−	0.311379i
$456$	2.03199	−	1.03694i	0.0951565	−	0.0485592i
$457$	−18.0896	+	18.0896i	−0.846197	+	0.846197i	−0.989656	−	0.143459i	$-0.954177\pi$
$457$	−18.0896	+	18.0896i	−0.846197	+	0.846197i	0.143459	+	0.989656i	$0.454177\pi$
$458$	−3.79596	−	11.6745i	−0.177374	−	0.545515i
$459$	7.09964	+	21.8504i	0.331383	+	1.01989i
$460$	19.7810	−	24.6685i	0.922295	−	1.15017i
$461$	−3.06742	+	9.44053i	−0.142864	+	0.439689i	−0.996730	−	0.0808029i	$-0.974252\pi$
$461$	−3.06742	+	9.44053i	−0.142864	+	0.439689i	0.853866	+	0.520492i	$0.174252\pi$
$462$	16.4834	−	0.00341743i	0.766876	−	0.000158993i
$463$	−1.52924	−	0.779186i	−0.0710698	−	0.0362119i	0.418094	−	0.908404i	$-0.362698\pi$
$463$	−1.52924	−	0.779186i	−0.0710698	−	0.0362119i	−0.489164	+	0.872192i	$0.662698\pi$
$464$	−0.0205338	−	24.7603i	−0.000953259	−	1.14947i
$465$	−12.9691	−	10.4084i	−0.601425	−	0.482678i
$466$	−11.0735	+	11.0781i	−0.512972	+	0.513185i
$467$	−37.0287	−	5.86477i	−1.71348	−	0.271389i	−0.778904	−	0.627143i	$-0.784224\pi$
$467$	−37.0287	−	5.86477i	−1.71348	−	0.271389i	−0.934580	+	0.355753i	$0.884224\pi$
$468$	−7.23643	+	1.14921i	−0.334504	+	0.0531225i
$469$	−1.43792	−	1.97913i	−0.0663972	−	0.0913879i
$470$	3.78192	+	1.43187i	0.174447	+	0.0660472i
$471$	4.92823	−	6.78312i	0.227081	−	0.312550i
$472$	−0.00297343	−	4.78059i	−0.000136863	−	0.220045i
$473$	31.2865	−	15.9412i	1.43855	−	0.732979i
$474$	24.4946	−	12.4870i	1.12508	−	0.573549i
$475$	−2.02842	+	2.29288i	−0.0930704	+	0.105204i
$476$	−16.5240	−	11.9949i	−0.757377	−	0.549787i
$477$	5.69479	+	11.1767i	0.260747	+	0.511744i
$478$	−14.5399	−	20.0037i	−0.665039	−	0.914949i
$479$	11.7632	+	8.54648i	0.537475	+	0.390499i	0.823146	−	0.567829i	$-0.192217\pi$
$479$	11.7632	+	8.54648i	0.537475	+	0.390499i	−0.285671	+	0.958328i	$0.592217\pi$
$480$	−4.39982	−	16.0716i	−0.200823	−	0.733564i
$481$	9.19734	−	6.68226i	0.419362	−	0.304685i
$482$	−34.5313	−	11.2120i	−1.57286	−	0.510693i
$483$	3.63740	−	22.9656i	0.165507	−	1.04497i
$484$	0.963779	−	2.97040i	0.0438081	−	0.135018i
$485$	19.9426	−	5.43734i	0.905546	−	0.246897i
$486$	−2.68101	−	16.9045i	−0.121613	−	0.766805i
$487$	−9.31297	+	18.2777i	−0.422011	+	0.828243i	0.577915	+	0.816097i	$0.303866\pi$
$487$	−9.31297	+	18.2777i	−0.422011	+	0.828243i	−0.999926	+	0.0121463i	$0.996134\pi$
$488$	17.1613	−	23.6514i	0.776856	−	1.07065i
$489$	11.7006	+	3.80174i	0.529118	+	0.171921i
$490$	2.10831	+	1.20437i	0.0952437	+	0.0544079i
$491$	32.5404	−	10.5730i	1.46853	−	0.477153i	0.537863	−	0.843032i	$-0.319232\pi$
$491$	32.5404	−	10.5730i	1.46853	−	0.477153i	0.930662	+	0.365879i	$0.119232\pi$
$492$	−9.45090	+	9.45874i	−0.426080	+	0.426433i
$493$	17.9002	+	17.9002i	0.806185	+	0.806185i
$494$	−2.23517	−	1.13829i	−0.100565	−	0.0512143i
$495$	9.96298	−	1.09130i	0.447803	−	0.0490503i
$496$	−21.4822	−	6.96029i	−0.964578	−	0.312526i
$497$	20.5804	−	3.25962i	0.923158	−	0.146214i
$498$	23.1603	+	16.8196i	1.03784	+	0.753705i
$499$	10.4853			0.469388			0.234694	−	0.972069i	$-0.424591\pi$
$499$	10.4853			0.469388			0.234694	+	0.972069i	$0.424591\pi$
$500$	13.3873	+	17.9103i	0.598699	+	0.800974i
$501$	−1.18966			−0.0531503
$502$	23.7034	+	17.2140i	1.05793	+	0.768298i
$503$	−19.9627	+	3.16179i	−0.890095	+	0.140977i	−0.584701	−	0.811249i	$-0.698788\pi$
$503$	−19.9627	+	3.16179i	−0.890095	+	0.140977i	−0.305394	+	0.952226i	$0.598788\pi$
$504$	6.31822	+	6.31036i	0.281436	+	0.281086i
$505$	0.424327	−	0.0464789i	0.0188823	−	0.00206828i
$506$	−31.5797	−	16.0824i	−1.40389	−	0.714950i
$507$	4.29244	+	4.29244i	0.190634	+	0.190634i
$508$	−6.32260	−	6.31736i	−0.280520	−	0.280287i
$509$	−22.5888	+	7.33954i	−1.00123	+	0.325319i	−0.763357	−	0.645977i	$-0.776450\pi$
$509$	−22.5888	+	7.33954i	−1.00123	+	0.325319i	−0.237873	+	0.971296i	$0.576450\pi$
$510$	14.7926	+	8.45025i	0.655027	+	0.374183i
$511$	6.57000	+	2.13472i	0.290640	+	0.0944346i
$512$	−13.3342	−	18.2811i	−0.589294	−	0.807919i
$513$	1.56158	−	3.06477i	0.0689455	−	0.135313i
$514$	1.55031	+	9.77514i	0.0683811	+	0.431163i
$515$	−11.3211	+	3.08670i	−0.498868	+	0.136016i
$516$	−24.8281	−	8.05575i	−1.09299	−	0.354635i
$517$	0.709010	−	4.47652i	0.0311822	−	0.196877i
$518$	−13.1779	−	4.27874i	−0.579004	−	0.187997i
$519$	−5.51222	+	4.00486i	−0.241959	+	0.175794i
$520$	−11.4587	+	14.2959i	−0.502495	+	0.626917i
$521$	−25.3689	−	18.4315i	−1.11143	−	0.807501i	−0.128541	−	0.991704i	$-0.541030\pi$
$521$	−25.3689	−	18.4315i	−1.11143	−	0.807501i	−0.982888	+	0.184203i	$0.941030\pi$
$522$	−6.50921	−	8.95526i	−0.284901	−	0.391961i
$523$	−3.97041	−	7.79237i	−0.173614	−	0.340737i	0.787760	−	0.615982i	$-0.211241\pi$
$523$	−3.97041	−	7.79237i	−0.173614	−	0.340737i	−0.961374	+	0.275246i	$0.911241\pi$
$524$	18.7590	−	25.8421i	0.819490	−	1.12892i
$525$	15.0795	+	6.55612i	0.658122	+	0.286132i
$526$	14.3641	−	7.32264i	0.626306	−	0.319282i
$527$	20.5709	−	10.4814i	0.896082	−	0.456577i
$528$	−16.6329	+	8.49228i	−0.723855	+	0.369579i
$529$	−15.8650	+	21.8363i	−0.689782	+	0.949404i
$530$	29.3338	+	11.1060i	1.27418	+	0.482415i
$531$	−1.25641	−	1.72930i	−0.0545234	−	0.0750451i
$532$	0.479467	+	3.01913i	0.0207875	+	0.130896i
$533$	14.5210	+	2.29989i	0.628972	+	0.0996194i
$534$	18.3735	−	18.3811i	0.795099	−	0.795429i
$535$	11.6653	+	9.36204i	0.504334	+	0.404756i
$536$	2.47036	+	1.25678i	0.106703	+	0.0542845i
$537$	−19.9162	−	10.1478i	−0.859447	−	0.437910i
$538$	13.3307	−	0.00276379i	0.574725	−	0.000119156i
$539$	0.840932	−	2.58812i	0.0362215	−	0.111478i
$540$	−19.6007	−	15.7173i	−0.843482	−	0.676366i
$541$	−2.43383	−	7.49056i	−0.104638	−	0.322044i	0.885007	−	0.465578i	$-0.154153\pi$
$541$	−2.43383	−	7.49056i	−0.104638	−	0.322044i	−0.989645	+	0.143534i	$0.954153\pi$
$542$	−0.541092	−	1.66414i	−0.0232419	−	0.0714807i
$543$	−2.81460	+	2.81460i	−0.120786	+	0.120786i
$544$	22.8530	+	3.59528i	0.979814	+	0.154146i
$545$	7.95460	−	3.58345i	0.340738	−	0.153498i
$546$	−2.10484	+	13.3073i	−0.0900788	+	0.569499i
$547$	3.67338	+	23.1928i	0.157062	+	0.991652i	0.932747	+	0.360531i	$0.117405\pi$
$547$	3.67338	+	23.1928i	0.157062	+	0.991652i	−0.775685	+	0.631120i	$0.782595\pi$
$548$	0.107547	−	0.680850i	0.00459417	−	0.0290845i
$549$		−	13.0657i		−	0.557632i
$550$	16.6016	−	18.7739i	0.707895	−	0.800520i
$551$		−	3.78998i		−	0.161459i
$552$	8.15636	+	25.0497i	0.347158	+	1.06618i
$553$	5.76344	+	36.3889i	0.245086	+	1.54741i
$554$	−32.8577	−	5.19716i	−1.39599	−	0.220806i
$555$	11.3177	+	2.35387i	0.480409	+	0.0999164i
$556$	13.3723	−	0.00554486i	0.567113	−	0.000235155i
$557$	−2.36926	+	2.36926i	−0.100389	+	0.100389i	−0.755517	−	0.655129i	$-0.772614\pi$
$557$	−2.36926	+	2.36926i	−0.100389	+	0.100389i	0.655129	+	0.755517i	$0.272614\pi$
$558$	−9.60200	+	3.12208i	−0.406485	+	0.132168i
$559$	8.86885	+	27.2955i	0.375112	+	1.15448i
$560$	22.3040	+	1.05241i	0.942515	+	0.0444723i
$561$	5.90026	−	18.1591i	0.249109	−	0.766679i
$562$	0.00654232	+	31.5557i	0.000275971	+	1.33110i
$563$	15.2766	+	7.78384i	0.643834	+	0.328050i	0.745241	−	0.666795i	$-0.232335\pi$
$563$	15.2766	+	7.78384i	0.643834	+	0.328050i	−0.101407	+	0.994845i	$0.532335\pi$
$564$	−2.72489	+	1.98148i	−0.114739	+	0.0834353i
$565$	6.94098	−	18.3214i	0.292009	−	0.770786i
$566$	6.86795	+	6.86510i	0.288681	+	0.288562i
$567$	−8.89288	−	1.40849i	−0.373466	−	0.0591512i
$568$	−19.0906	+	13.8883i	−0.801025	+	0.582740i
$569$	3.28427	+	4.52041i	0.137684	+	0.189505i	0.872291	−	0.488987i	$-0.162634\pi$
$569$	3.28427	+	4.52041i	0.137684	+	0.189505i	−0.734607	+	0.678493i	$0.762634\pi$
$570$	−0.671426	−	2.46058i	−0.0281229	−	0.103062i
$571$	−4.25337	+	5.85426i	−0.177998	+	0.244993i	−0.888688	−	0.458512i	$-0.848383\pi$
$571$	−4.25337	+	5.85426i	−0.177998	+	0.244993i	0.710690	+	0.703505i	$0.248383\pi$
$572$	18.3000	+	9.31475i	0.765160	+	0.389469i
$573$	−28.3353	+	14.4376i	−1.18373	+	0.603138i
$574$	−8.13776	−	15.9631i	−0.339664	−	0.666286i
$575$	−22.4877	−	27.2778i	−0.937803	−	1.13756i
$576$	−9.62601	−	3.11445i	−0.401084	−	0.129769i
$577$	11.7211	+	23.0039i	0.487956	+	0.957667i	0.995384	+	0.0959729i	$0.0305962\pi$
$577$	11.7211	+	23.0039i	0.487956	+	0.957667i	−0.507428	+	0.861694i	$0.669404\pi$
$578$	0.315101	−	0.229034i	0.0131065	−	0.00952655i
$579$	0.239716	+	0.174164i	0.00996225	+	0.00723800i
$580$	−27.1052	−	5.62568i	−1.12548	−	0.233594i
$581$	−31.0307	+	22.5451i	−1.28737	+	0.935330i
$582$	−5.31837	+	16.3798i	−0.220454	+	0.678966i
$583$	5.49931	−	34.7213i	0.227758	−	1.43801i
$584$	−7.72967	+	1.22919i	−0.319856	+	0.0508642i
$585$	−0.392893	+	8.18254i	−0.0162441	+	0.338306i
$586$	−24.8642	+	3.94339i	−1.02713	+	0.162900i
$587$	−8.02650	+	15.7529i	−0.331289	+	0.650191i	−0.995226	−	0.0975973i	$-0.968884\pi$
$587$	−8.02650	+	15.7529i	−0.331289	+	0.650191i	0.663937	+	0.747788i	$0.268884\pi$
$588$	−1.80206	+	0.919139i	−0.0743159	+	0.0379047i
$589$	−3.28732	−	1.06812i	−0.135452	−	0.0440109i
$590$	−5.23311	−	1.08726i	−0.215444	−	0.0447619i
$591$	21.9007	−	7.11597i	0.900875	−	0.292712i
$592$	15.5024	−	2.46852i	0.637144	−	0.101455i
$593$	−9.31598	−	9.31598i	−0.382561	−	0.382561i	0.489463	−	0.872024i	$-0.337193\pi$
$593$	−9.31598	−	9.31598i	−0.382561	−	0.382561i	−0.872024	+	0.489463i	$0.837193\pi$
$594$	−12.7785	+	25.0921i	−0.524310	+	1.02954i
$595$	−16.8980	+	15.3496i	−0.692750	+	0.629272i
$596$	4.53851	−	1.47673i	0.185905	−	0.0604893i
$597$	−17.3882	+	2.75402i	−0.711651	+	0.112714i
$598$	17.0210	−	23.4376i	0.696040	−	0.958435i
$599$	22.1396			0.904601			0.452300	−	0.891866i	$-0.350603\pi$
$599$	22.1396			0.904601			0.452300	+	0.891866i	$0.350603\pi$
$600$	−18.5942	+	1.14953i	−0.759107	+	0.0469295i
$601$	−3.11171			−0.126929			−0.0634646	−	0.997984i	$-0.520215\pi$
$601$	−3.11171			−0.126929			−0.0634646	+	0.997984i	$0.520215\pi$
$602$	20.5535	−	28.3018i	0.837698	−	1.15350i
$603$	1.22403	−	0.193867i	0.0498463	−	0.00789488i
$604$	−36.0006	+	11.7138i	−1.46484	+	0.476628i
$605$	−3.03129	−	1.73246i	−0.123240	−	0.0704344i
$606$	−0.161392	+	0.316912i	−0.00655611	+	0.0128737i
$607$	−2.40057	−	2.40057i	−0.0974363	−	0.0974363i	0.656708	−	0.754145i	$-0.271948\pi$
$607$	−2.40057	−	2.40057i	−0.0974363	−	0.0974363i	−0.754145	+	0.656708i	$0.771948\pi$
$608$	−2.03870	−	2.79992i	−0.0826803	−	0.113552i
$609$	−19.3604	+	6.29058i	−0.784523	+	0.254907i
$610$	−21.9721	−	24.1785i	−0.889626	−	0.978960i
$611$	3.52319	+	1.14475i	0.142533	+	0.0463117i
$612$	9.21448	−	4.69983i	0.372473	−	0.189979i
$613$	15.0546	−	29.5462i	0.608048	−	1.19336i	−0.357690	−	0.933840i	$-0.616436\pi$
$613$	15.0546	−	29.5462i	0.608048	−	1.19336i	0.965738	−	0.259520i	$-0.0835644\pi$
$614$	−1.13847	+	0.180558i	−0.0459449	+	0.00728673i
$615$	8.19687	+	12.5018i	0.330530	+	0.504122i
$616$	−3.93024	−	24.7150i	−0.158354	−	0.995798i
$617$	4.49890	−	28.4050i	0.181119	−	1.14354i	−0.714802	−	0.699327i	$-0.753483\pi$
$617$	4.49890	−	28.4050i	0.181119	−	1.14354i	0.895921	−	0.444214i	$-0.146517\pi$
$618$	3.01917	−	9.29860i	0.121449	−	0.374044i
$619$	−19.3128	+	14.0316i	−0.776249	+	0.563978i	−0.903851	−	0.427848i	$-0.859272\pi$
$619$	−19.3128	+	14.0316i	−0.776249	+	0.563978i	0.127602	+	0.991825i	$0.459272\pi$
$620$	−12.5185	+	21.9248i	−0.502755	+	0.880522i
$621$	32.1352	+	23.3476i	1.28954	+	0.936906i
$622$	31.7414	−	23.0716i	1.27272	−	0.925085i
$623$	15.8109	+	31.0307i	0.633451	+	1.24322i
$624$	−4.72900	−	14.5134i	−0.189312	−	0.581002i
$625$	22.6570	−	10.5670i	0.906278	−	0.422681i
$626$	12.4473	+	24.4167i	0.497495	+	0.975889i
$627$	−2.54702	+	1.29777i	−0.101718	+	0.0518281i
$628$	−11.3444	−	5.77435i	−0.452692	−	0.230422i
$629$	−9.43348	+	12.9841i	−0.376137	+	0.517709i
$630$	8.34806	−	5.47591i	0.332595	−	0.218166i
$631$	7.25714	+	9.98860i	0.288902	+	0.397640i	0.928657	−	0.370939i	$-0.120964\pi$
$631$	7.25714	+	9.98860i	0.288902	+	0.397640i	−0.639755	+	0.768579i	$0.720964\pi$
$632$	−24.5564	−	33.7548i	−0.976800	−	1.34269i
$633$	−21.7996	−	3.45271i	−0.866455	−	0.137233i
$634$	5.13869	+	5.13656i	0.204084	+	0.203999i
$635$	−8.35671	+	5.47911i	−0.331626	+	0.217432i
$636$	−21.1351	+	15.3690i	−0.838063	+	0.609420i
$637$	1.98184	+	1.00980i	0.0785234	+	0.0400097i
$638$	0.00643257	+	31.0263i	0.000254668	+	1.22834i
$639$	−3.26190	+	10.0391i	−0.129039	+	0.397141i
$640$	−23.0507	+	10.4243i	−0.911158	+	0.412058i
$641$	7.49129	+	23.0558i	0.295888	+	0.910650i	0.982922	+	0.184025i	$0.0589126\pi$
$641$	7.49129	+	23.0558i	0.295888	+	0.910650i	−0.687033	+	0.726626i	$0.741087\pi$
$642$	−11.8511	+	3.85336i	−0.467725	+	0.152080i
$643$	7.10084	−	7.10084i	0.280030	−	0.280030i	−0.553091	−	0.833121i	$-0.686552\pi$
$643$	7.10084	−	7.10084i	0.280030	−	0.280030i	0.833121	+	0.553091i	$0.186552\pi$
$644$	−35.3018	+	0.0146380i	−1.39108	+	0.000576816i
$645$	−14.4808	+	25.3371i	−0.570179	+	0.997647i
$646$	3.49758	+	0.553219i	0.137610	+	0.0217661i
$647$	−2.23616	−	14.1185i	−0.0879124	−	0.555057i	−0.991852	−	0.127396i	$-0.959338\pi$
$647$	−2.23616	−	14.1185i	−0.0879124	−	0.555057i	0.903940	−	0.427660i	$-0.140662\pi$
$648$	9.69988	−	3.15835i	0.381047	−	0.124072i
$649$			5.99041i			0.235144i
$650$	13.0332	+	15.8028i	0.511205	+	0.619835i
$651$			18.5655i			0.727640i
$652$	2.91429	−	18.4496i	0.114132	−	0.722542i
$653$	2.91238	+	18.3881i	0.113970	+	0.719580i	0.976811	+	0.214104i	$0.0686831\pi$
$653$	2.91238	+	18.3881i	0.113970	+	0.719580i	−0.862841	+	0.505476i	$0.831317\pi$
$654$	−1.13560	+	7.17954i	−0.0444055	+	0.280742i
$655$	−24.0054	−	26.4269i	−0.937967	−	1.03259i
$656$	16.4333	+	11.9187i	0.641614	+	0.465347i
$657$	−2.47457	+	2.47457i	−0.0965420	+	0.0965420i
$658$	−1.39603	−	4.29351i	−0.0544230	−	0.167379i
$659$	2.12369	+	6.53604i	0.0827271	+	0.254608i	0.983861	−	0.178932i	$-0.0572643\pi$
$659$	2.12369	+	6.53604i	0.0827271	+	0.254608i	−0.901134	+	0.433540i	$0.857264\pi$
$660$	5.50074	+	20.1422i	0.214116	+	0.784034i
$661$	−3.72502	+	11.4644i	−0.144886	+	0.445914i	−0.996996	−	0.0774483i	$-0.975323\pi$
$661$	−3.72502	+	11.4644i	−0.144886	+	0.445914i	0.852110	+	0.523363i	$0.175323\pi$
$662$	−12.4024	+	0.00257134i	−0.482033	+	9.99380e-5i
$663$	13.9052	+	7.08508i	0.540035	+	0.275162i
$664$	19.7050	−	38.7327i	0.764701	−	1.50312i
$665$	3.41386	+	0.163920i	0.132384	+	0.00635654i
$666$	4.96204	−	4.96410i	0.192275	−	0.192355i
$667$	43.2277	+	6.84660i	1.67378	+	0.265101i
$668$	0.283290	+	1.78383i	0.0109608	+	0.0690185i
$669$	−6.02979	−	8.29929i	−0.233125	−	0.320869i
$670$	1.93908	−	2.41716i	0.0749134	−	0.0933831i
$671$	−21.5227	+	29.6235i	−0.830875	+	1.14360i
$672$	−10.9191	+	15.0616i	−0.421212	+	0.581014i
$673$	15.4778	−	7.88631i	0.596624	−	0.303995i	−0.129478	−	0.991582i	$-0.541330\pi$
$673$	15.4778	−	7.88631i	0.596624	−	0.303995i	0.726102	+	0.687587i	$0.241330\pi$
$674$	−14.4816	+	7.38252i	−0.557810	+	0.284364i
$675$	−21.6741	+	17.8680i	−0.834235	+	0.687739i
$676$	5.41413	−	7.45841i	0.208236	−	0.286862i
$677$	−2.49413	−	4.89501i	−0.0958573	−	0.188130i	0.838099	−	0.545519i	$-0.183667\pi$
$677$	−2.49413	−	4.89501i	−0.0958573	−	0.188130i	−0.933956	+	0.357388i	$0.883667\pi$
$678$	9.59721	+	13.2037i	0.368579	+	0.507084i
$679$	−18.6700	−	13.5646i	−0.716489	−	0.520560i
$680$	9.14816	−	24.1928i	0.350816	−	0.927753i
$681$	15.7778	−	11.4632i	0.604607	−	0.439272i
$682$	26.9132	+	8.73845i	1.03056	+	0.334613i
$683$	2.46727	−	15.5777i	0.0944075	−	0.596066i	−0.894446	−	0.447175i	$-0.852430\pi$
$683$	2.46727	−	15.5777i	0.0944075	−	0.596066i	0.988854	−	0.148890i	$-0.0475700\pi$
$684$	−1.47303	−	0.477940i	−0.0563226	−	0.0182745i
$685$	−0.720668	−	0.273022i	−0.0275353	−	0.0104316i
$686$	−4.29571	−	27.0857i	−0.164011	−	1.03414i
$687$	5.19142	−	10.1887i	0.198065	−	0.388724i
$688$	−6.16692	+	39.1465i	−0.235112	+	1.49245i
$689$	27.3270	+	8.87907i	1.04107	+	0.338266i
$690$	29.2778	−	3.21310i	1.11459	−	0.122321i
$691$	39.3639	−	12.7901i	1.49748	−	0.486559i	0.558195	−	0.829710i	$-0.311494\pi$
$691$	39.3639	−	12.7901i	1.49748	−	0.486559i	0.939280	+	0.343151i	$0.111494\pi$
$692$	7.31765	+	7.31158i	0.278175	+	0.277945i
$693$	−7.91223	−	7.91223i	−0.300561	−	0.300561i
$694$	6.15897	+	3.13654i	0.233791	+	0.119062i
$695$	3.04433	−	14.6375i	0.115478	−	0.555231i
$696$	16.2985	−	16.3188i	0.617793	−	0.618562i
$697$	−20.4995	+	3.24681i	−0.776475	+	0.122982i
$698$	−27.0473	−	19.6424i	−1.02375	−	0.743477i
$699$	−14.5905			−0.551862
$700$	6.23970	−	24.1720i	0.235839	−	0.913615i
$701$	−0.580962			−0.0219426			−0.0109713	−	0.999940i	$-0.503492\pi$
$701$	−0.580962			−0.0219426			−0.0109713	+	0.999940i	$0.503492\pi$
$702$	−18.6227	−	13.5243i	−0.702869	−	0.510442i
$703$	2.37321	−	0.375880i	0.0895074	−	0.0141766i
$704$	16.6944	+	22.9179i	0.629194	+	0.863749i
$705$	1.54717	+	3.43444i	0.0582699	+	0.129348i
$706$	34.1948	+	17.4142i	1.28694	+	0.655393i
$707$	−0.336985	−	0.336985i	−0.0126736	−	0.0126736i
$708$	3.14749	−	3.15010i	0.118290	−	0.118388i
$709$	23.9745	−	7.78979i	0.900381	−	0.292552i	0.177987	−	0.984033i	$-0.443042\pi$
$709$	23.9745	−	7.78979i	0.900381	−	0.292552i	0.722394	+	0.691481i	$0.243042\pi$
$710$	10.8461	+	24.0631i	0.407049	+	0.903072i
$711$	−17.7505	−	5.76748i	−0.665695	−	0.216297i
$712$	−31.9366	−	23.1730i	−1.19688	−	0.868444i
$713$	18.1213	−	35.5650i	0.678646	−	1.33192i
$714$	−2.97923	−	18.7849i	−0.111495	−	0.703009i
$715$	14.3696	−	17.9048i	0.537393	−	0.669601i
$716$	−10.4735	+	32.2796i	−0.391413	+	1.20635i
$717$	3.60353	−	22.7518i	0.134576	−	0.849681i
$718$	17.6956	+	5.74561i	0.660396	+	0.214424i
$719$	−1.15936	+	0.842323i	−0.0432368	+	0.0314134i	−0.609194	−	0.793021i	$-0.708507\pi$
$719$	−1.15936	+	0.842323i	−0.0432368	+	0.0314134i	0.565957	+	0.824435i	$0.308507\pi$
$720$	−5.60463	+	9.82537i	−0.208872	+	0.366170i
$721$	10.5987	+	7.70041i	0.394716	+	0.286778i
$722$	15.4866	+	21.3062i	0.576353	+	0.792936i
$723$	−15.3533	−	30.1325i	−0.570995	−	1.12064i
$724$	4.89056	+	3.55010i	0.181756	+	0.131939i
$725$	−12.3404	+	28.3838i	−0.458313	+	1.05415i
$726$	2.59156	−	1.32114i	0.0961819	−	0.0490322i
$727$	−19.6663	+	10.0205i	−0.729382	+	0.371639i	−0.778912	−	0.627134i	$-0.784228\pi$
$727$	−19.6663	+	10.0205i	−0.729382	+	0.371639i	0.0495292	+	0.998773i	$0.484228\pi$
$728$	20.4547	−	0.0127224i	0.758102	−	0.000471523i
$729$	15.7309	−	21.6518i	0.582627	−	0.801918i
$730$	−0.417874	+	8.74064i	−0.0154662	+	0.323506i
$731$	−23.8151	−	32.7786i	−0.880833	−	1.21236i
$732$	26.8826	−	4.26922i	0.993611	−	0.157795i
$733$	−10.6305	−	1.68370i	−0.392645	−	0.0621889i	−0.0430095	−	0.999075i	$-0.513695\pi$
$733$	−10.6305	−	1.68370i	−0.392645	−	0.0621889i	−0.349635	+	0.936886i	$0.613695\pi$
$734$	−6.22373	+	6.22632i	−0.229722	+	0.229818i
$735$	0.594937	+	2.18206i	0.0219446	+	0.0804863i
$736$	35.6183	−	18.1949i	1.31291	−	0.670674i
$737$	−3.09455	−	1.57675i	−0.113989	−	0.0580804i
$738$	9.07687	−	0.00188187i	0.334124	−	6.92727e-5i
$739$	14.4732	−	44.5439i	0.532405	−	1.63858i	−0.216784	−	0.976220i	$-0.569557\pi$
$739$	14.4732	−	44.5439i	0.532405	−	1.63858i	0.749190	−	0.662356i	$-0.230443\pi$
$740$	0.834468	−	17.5307i	0.0306757	−	0.644442i
$741$	−0.722011	−	2.22212i	−0.0265237	−	0.0816317i
$742$	−10.8281	−	33.3019i	−0.397511	−	1.22255i
$743$	−8.36031	+	8.36031i	−0.306710	+	0.306710i	−0.843632	−	0.536922i	$-0.819587\pi$
$743$	−8.36031	+	8.36031i	−0.306710	+	0.306710i	0.536922	+	0.843632i	$0.319587\pi$
$744$	−9.56111	−	18.7359i	−0.350527	−	0.686892i
$745$	−0.581013	−	5.30433i	−0.0212867	−	0.194336i
$746$	5.79373	−	36.6293i	0.212124	−	1.34109i
$747$	−3.03963	−	19.1915i	−0.111214	−	0.702180i
$748$	−28.6335	−	4.52294i	−1.04695	−	0.165375i
$749$		−	16.6991i		−	0.610173i
$750$	−2.98341	+	20.6139i	−0.108939	+	0.752714i
$751$			26.5297i			0.968082i	0.875045	+	0.484041i	$0.160831\pi$
$751$			26.5297i			0.968082i	−0.875045	+	0.484041i	$0.839169\pi$
$752$	3.61998	+	3.61398i	0.132007	+	0.131788i
$753$	4.26871	+	26.9516i	0.155560	+	0.982169i
$754$	−25.0480	−	3.96190i	−0.912196	−	0.144284i
$755$	4.60874	+	42.0753i	0.167729	+	1.53128i
$756$	0.0116308	+	28.0496i	0.000423009	+	1.02015i
$757$	20.8184	−	20.8184i	0.756656	−	0.756656i	−0.219056	−	0.975712i	$-0.570298\pi$
$757$	20.8184	−	20.8184i	0.756656	−	0.756656i	0.975712	+	0.219056i	$0.0702978\pi$
$758$	4.01763	−	1.30633i	0.145927	−	0.0474480i
$759$	−10.2009	−	31.3953i	−0.370271	−	1.13958i
$760$	−3.52961	+	1.59269i	−0.128033	+	0.0577730i
$761$	0.888969	−	2.73597i	0.0322251	−	0.0991787i	−0.933650	−	0.358186i	$-0.883395\pi$
$761$	0.888969	−	2.73597i	0.0322251	−	0.0991787i	0.965875	+	0.259007i	$0.0833954\pi$
$762$	−0.00172608	−	8.32545i	−6.25294e−5	−	0.301599i
$763$	−8.67873	−	4.42203i	−0.314191	−	0.160088i
$764$	28.3957	+	39.0492i	1.02732	+	1.41275i
$765$	−3.04209	−	11.1575i	−0.109987	−	0.403400i
$766$	−3.47290	−	3.47146i	−0.125481	−	0.125429i
$767$	−4.83599	−	0.765946i	−0.174618	−	0.0276567i
$768$	3.26266	−	20.8231i	0.117731	−	0.751389i
$769$	−30.0431	−	41.3507i	−1.08338	−	1.49115i	−0.855744	−	0.517399i	$-0.826900\pi$
$769$	−30.0431	−	41.3507i	−1.08338	−	1.49115i	−0.227636	−	0.973746i	$-0.573100\pi$
$770$	−27.9475	−	1.33612i	−1.00716	−	0.0481504i
$771$	−5.41892	+	7.45851i	−0.195158	+	0.268612i
$772$	0.204066	−	0.400913i	0.00734449	−	0.0144292i
$773$	−43.4090	+	22.1180i	−1.56131	+	0.795528i	−0.999496	−	0.0317349i	$-0.989897\pi$
$773$	−43.4090	+	22.1180i	−1.56131	+	0.795528i	−0.561815	+	0.827263i	$0.689897\pi$
$774$	8.04766	+	15.7863i	0.289267	+	0.567428i
$775$	21.1414	+	18.7030i	0.759423	+	0.671833i
$776$	25.8270	+	4.07413i	0.927136	+	0.146253i
$777$	−5.85915	−	11.4992i	−0.210196	−	0.412533i
$778$	−27.9850	+	20.3412i	−1.00331	+	0.729266i
$779$	2.51388	+	1.82644i	0.0900692	+	0.0654391i
$780$	−16.9639	+	1.86527i	−0.607405	+	0.0667873i
$781$	23.9327	−	17.3881i	0.856378	−	0.622195i
$782$	−12.6283	+	38.8933i	−0.451586	+	1.39082i
$783$	5.44008	−	34.3473i	0.194413	−	1.22747i
$784$	1.80731	+	2.48322i	0.0645469	+	0.0886864i
$785$	−8.90793	+	11.0994i	−0.317938	+	0.396156i
$786$	29.3779	−	4.65925i	1.04788	−	0.166190i
$787$	10.3231	−	20.2603i	0.367979	−	0.722200i	−0.630565	−	0.776136i	$-0.717177\pi$
$787$	10.3231	−	20.2603i	0.367979	−	0.722200i	0.998544	+	0.0539363i	$0.0171768\pi$
$788$	−15.8851	−	31.1443i	−0.565883	−	1.10947i
$789$	14.2833	+	4.64091i	0.508498	+	0.165221i
$790$	−42.5468	+	19.1774i	−1.51375	+	0.682302i
$791$	−20.8028	+	6.75924i	−0.739663	+	0.240331i
$792$	12.0596	+	3.91011i	0.428519	+	0.138940i
$793$	−21.1628	−	21.1628i	−0.751512	−	0.751512i
$794$	12.4925	−	24.5305i	0.443343	−	0.870556i
$795$	12.0004	+	26.6386i	0.425610	+	0.944774i
$796$	8.27006	+	25.4167i	0.293124	+	0.900873i
$797$	1.51740	−	0.240333i	0.0537492	−	0.00851304i	−0.129502	−	0.991579i	$-0.541338\pi$
$797$	1.51740	−	0.240333i	0.0537492	−	0.00851304i	0.183251	+	0.983066i	$0.441338\pi$
$798$	−1.67326	+	2.30404i	−0.0592326	+	0.0815623i
$799$	−5.22971			−0.185014
$800$	6.15142	+	27.6072i	0.217486	+	0.976064i
$801$	−17.6427			−0.623374
$802$	−0.868059	+	1.19530i	−0.0306522	+	0.0422076i
$803$	9.68676	−	1.53423i	0.341838	−	0.0541419i
$804$	0.798832	+	2.45509i	0.0281726	+	0.0865843i
$805$	−8.03678	+	38.6417i	−0.283259	+	1.36194i
$806$	−10.4956	+	20.6094i	−0.369693	+	0.725935i
$807$	8.78038	+	8.78038i	0.309084	+	0.309084i
$808$	0.513623	+	0.166533i	0.0180692	+	0.00585862i
$809$	25.3108	−	8.22397i	0.889880	−	0.289139i	0.171826	−	0.985127i	$-0.445033\pi$
$809$	25.3108	−	8.22397i	0.889880	−	0.289139i	0.718053	+	0.695988i	$0.245033\pi$
$810$	−1.24420	−	11.3371i	−0.0437166	−	0.398346i
$811$	−13.1183	−	4.26239i	−0.460645	−	0.149673i	0.0694958	−	0.997582i	$-0.477861\pi$
$811$	−13.1183	−	4.26239i	−0.460645	−	0.149673i	−0.530141	+	0.847910i	$0.677861\pi$
$812$	14.0426	+	27.5318i	0.492797	+	0.966178i
$813$	0.740006	−	1.45234i	0.0259531	−	0.0509359i
$814$	−19.4275	+	3.08114i	−0.680932	+	0.107994i
$815$	−19.5286	−	7.39833i	−0.684056	−	0.259152i
$816$	12.6807	+	17.4231i	0.443913	+	0.609930i
$817$	−0.948920	+	5.99124i	−0.0331985	+	0.209607i
$818$	10.2560	−	31.5870i	0.358593	−	1.10441i
$819$	7.39913	−	5.37579i	0.258547	−	0.187845i
$820$	16.7939	−	15.2677i	0.586467	−	0.533172i
$821$	−2.18719	−	1.58909i	−0.0763336	−	0.0554596i	0.548964	−	0.835846i	$-0.315022\pi$
$821$	−2.18719	−	1.58909i	−0.0763336	−	0.0554596i	−0.625298	+	0.780386i	$0.715022\pi$
$822$	0.519364	−	0.377505i	0.0181149	−	0.0131670i
$823$	22.7172	+	44.5851i	0.791873	+	1.55414i	0.831891	+	0.554939i	$0.187259\pi$
$823$	22.7172	+	44.5851i	0.791873	+	1.55414i	−0.0400178	+	0.999199i	$0.512741\pi$
$824$	−14.6616	−	2.31283i	−0.510762	−	0.0805712i
$825$	23.3007	−	1.42595i	0.811227	−	0.0496452i
$826$	2.71016	+	5.31627i	0.0942986	+	0.184977i
$827$	36.3753	−	18.5342i	1.26489	−	0.644496i	0.312660	−	0.949865i	$-0.398780\pi$
$827$	36.3753	−	18.5342i	1.26489	−	0.644496i	0.952234	+	0.305370i	$0.0987800\pi$
$828$	8.11231	−	15.9376i	0.281922	−	0.553871i
$829$	−30.5136	+	41.9984i	−1.05978	+	1.45867i	−0.179774	+	0.983708i	$0.557537\pi$
$829$	−30.5136	+	41.9984i	−1.05978	+	1.45867i	−0.880009	+	0.474958i	$0.842463\pi$
$830$	−37.8986	−	30.4028i	−1.31548	−	1.05530i
$831$	−18.2137	−	25.0690i	−0.631827	−	0.869635i
$832$	−20.6359	+	10.5469i	−0.715422	+	0.365647i
$833$	−3.10139	−	0.491212i	−0.107457	−	0.0170195i
$834$	8.80966	+	8.80600i	0.305053	+	0.304927i
$835$	2.01705	+	0.0968508i	0.0698030	+	0.00335166i
$836$	2.55245	+	3.51008i	0.0882782	+	0.121399i
$837$	−28.2587	−	14.3985i	−0.976764	−	0.497686i
$838$	−0.00369618	−	17.8279i	−0.000127683	−	0.615854i
$839$	−5.28602	+	16.2687i	−0.182494	+	0.561658i	−0.999896	−	0.0144092i	$-0.995413\pi$
$839$	−5.28602	+	16.2687i	−0.182494	+	0.561658i	0.817403	+	0.576067i	$0.195413\pi$
$840$	13.9944	+	15.3868i	0.482852	+	0.530896i
$841$	−2.87913	−	8.86106i	−0.0992804	−	0.305554i
$842$	−2.11250	+	0.686878i	−0.0728016	+	0.0236714i
$843$	−20.7845	+	20.7845i	−0.715857	+	0.715857i
$844$	0.0138947	+	33.5094i	0.000478276	+	1.15344i
$845$	−6.92831	−	7.62721i	−0.238341	−	0.262384i
$846$	2.25904	+	0.357317i	0.0776675	+	0.0122848i
$847$	0.609778	+	3.84999i	0.0209522	+	0.132287i
$848$	28.0777	+	28.0312i	0.964192	+	0.962594i
$849$			9.04542i			0.310438i
$850$	−24.3926	−	15.5315i	−0.836660	−	0.532726i
$851$			27.7474i			0.951169i
$852$	−21.7212	−	3.43107i	−0.744157	−	0.117547i
$853$	−3.25560	−	20.5550i	−0.111470	−	0.703791i	−0.978610	−	0.205726i	$-0.934044\pi$
$853$	−3.25560	−	20.5550i	−0.111470	−	0.703791i	0.867140	−	0.498064i	$-0.165956\pi$
$854$	−5.69846	+	36.0270i	−0.194997	+	1.23282i
$855$	−0.859129	+	1.50323i	−0.0293816	+	0.0514092i
$856$	8.59993	+	16.8524i	0.293940	+	0.576003i
$857$	5.33144	−	5.33144i	0.182119	−	0.182119i	−0.610160	−	0.792278i	$-0.708895\pi$
$857$	5.33144	−	5.33144i	0.182119	−	0.182119i	0.792278	+	0.610160i	$0.208895\pi$
$858$	5.91445	+	18.1900i	0.201916	+	0.620995i
$859$	−15.9386	−	49.0541i	−0.543819	−	1.67370i	−0.723781	−	0.690029i	$-0.757598\pi$
$859$	−15.9386	−	49.0541i	−0.543819	−	1.67370i	0.179962	−	0.983673i	$-0.442402\pi$
$860$	41.4397	+	15.6796i	1.41308	+	0.534671i
$861$	5.15752	−	15.8732i	0.175768	−	0.540958i
$862$	25.6115	−	0.00530993i	0.872331	−	0.000180857i
$863$	−46.9301	−	23.9121i	−1.59752	−	0.813977i	−0.999926	−	0.0121785i	$-0.996123\pi$
$863$	−46.9301	−	23.9121i	−1.59752	−	0.813977i	−0.597594	−	0.801799i	$-0.703877\pi$
$864$	−14.4571	−	28.3011i	−0.491840	−	0.962822i
$865$	9.67190	−	6.34141i	0.328854	−	0.215615i
$866$	−18.5453	+	18.5530i	−0.630194	+	0.630456i
$867$	0.358388	+	0.0567631i	0.0121715	+	0.00192778i
$868$	27.8379	−	4.42092i	0.944879	−	0.150056i
$869$	30.7445	+	42.3161i	1.04293	+	1.43548i
$870$	−14.1433	−	21.5615i	−0.479502	−	0.731003i
$871$	1.66857	−	2.29659i	0.0565373	−	0.0778170i
$872$	11.0357	−	0.00686397i	0.373716	−	0.000232443i
$873$	10.4165	−	5.30748i	0.352546	−	0.179631i
$874$	5.45428	−	2.78052i	0.184494	−	0.0940525i
$875$	−25.0332	−	12.3434i	−0.846278	−	0.417283i
$876$	−5.89997	−	4.28284i	−0.199341	−	0.144704i
$877$	20.4095	+	40.0560i	0.689181	+	1.35259i	0.924690	+	0.380722i	$0.124324\pi$
$877$	20.4095	+	40.0560i	0.689181	+	1.35259i	−0.235509	+	0.971872i	$0.575676\pi$
$878$	−4.97221	−	6.84067i	−0.167804	−	0.230862i
$879$	−18.9716	−	13.7837i	−0.639896	−	0.464912i
$880$	28.8922	−	13.0444i	0.973955	−	0.439727i
$881$	41.1084	−	29.8670i	1.38498	−	1.00624i	0.388581	−	0.921414i	$-0.372965\pi$
$881$	41.1084	−	29.8670i	1.38498	−	1.00624i	0.996395	−	0.0848300i	$-0.0270347\pi$
$882$	1.30612	+	0.424086i	0.0439795	+	0.0142797i
$883$	−6.30205	+	39.7896i	−0.212081	+	1.33903i	0.620101	+	0.784522i	$0.287092\pi$
$883$	−6.30205	+	39.7896i	−0.212081	+	1.33903i	−0.832182	+	0.554503i	$0.812908\pi$
$884$	7.31246	−	22.5372i	0.245945	−	0.758009i
$885$	−2.72985	−	4.16355i	−0.0917628	−	0.139956i
$886$	1.44072	+	9.08418i	0.0484021	+	0.305189i
$887$	9.74108	−	19.1179i	0.327073	−	0.641918i	−0.667654	−	0.744472i	$-0.732701\pi$
$887$	9.74108	−	19.1179i	0.327073	−	0.641918i	0.994727	+	0.102554i	$0.0327014\pi$
$888$	11.8350	+	8.58736i	0.397155	+	0.288173i
$889$	10.6103	+	3.44749i	0.355857	+	0.115625i
$890$	−32.6483	+	29.6691i	−1.09437	+	0.994509i
$891$	−12.1571	+	3.95007i	−0.407277	+	0.132332i
$892$	−11.0085	+	11.0176i	−0.368590	+	0.368896i
$893$	0.553639	+	0.553639i	0.0185268	+	0.0185268i
$894$	3.96159	+	2.01750i	0.132495	+	0.0674751i
$895$	32.9414	+	18.8268i	1.10111	+	0.629310i
$896$	25.1841	+	12.7859i	0.841342	+	0.427148i
$897$	26.6494	−	4.22085i	0.889796	−	0.140930i
$898$	−1.12222	−	0.814982i	−0.0374488	−	0.0271963i
$899$	−34.9455			−1.16550
$900$	9.47553	+	8.37565i	0.315851	+	0.279188i
$901$	−40.5633			−1.35136
$902$	−20.5828	−	14.9477i	−0.685332	−	0.497705i
$903$	32.1801	−	5.09683i	1.07089	−	0.169612i
$904$	17.5128	−	17.5346i	0.582467	−	0.583192i
$905$	5.00124	−	4.54297i	0.166247	−	0.151013i
$906$	−31.4243	−	16.0033i	−1.04400	−	0.531673i
$907$	4.44032	+	4.44032i	0.147438	+	0.147438i	0.776973	−	0.629534i	$-0.216754\pi$
$907$	4.44032	+	4.44032i	0.147438	+	0.147438i	−0.629534	+	0.776973i	$0.716754\pi$
$908$	−20.9456	−	20.9282i	−0.695103	−	0.694527i
$909$	0.229608	−	0.0746041i	0.00761561	−	0.00247446i
$910$	4.65207	−	22.3909i	0.154214	−	0.742251i
$911$	−0.0817645	−	0.0265669i	−0.00270898	−	0.000880200i	0.307662	−	0.951496i	$-0.400453\pi$
$911$	−0.0817645	−	0.0265669i	−0.00270898	−	0.000880200i	−0.310371	+	0.950615i	$0.600453\pi$
$912$	0.502048	−	3.18691i	0.0166245	−	0.105529i
$913$	−24.7218	+	48.5193i	−0.818173	+	1.60575i
$914$	5.66709	+	35.7327i	0.187451	+	1.18193i
$915$	1.45956	−	30.3973i	0.0482515	−	1.00491i
$916$	−16.5136	−	5.35803i	−0.545625	−	0.177034i
$917$	−6.23536	+	39.3685i	−0.205910	+	1.30006i
$918$	30.9033	+	10.0340i	1.01996	+	0.331171i
$919$	−5.49083	+	3.98932i	−0.181126	+	0.131596i	−0.674654	−	0.738134i	$-0.735707\pi$
$919$	−5.49083	+	3.98932i	−0.181126	+	0.131596i	0.493528	+	0.869730i	$0.335707\pi$
$920$	−11.7897	−	43.1352i	−0.388693	−	1.42213i
$921$	−0.868662	−	0.631120i	−0.0286234	−	0.0207961i
$922$	8.25368	+	11.3553i	0.271821	+	0.373966i
$923$	10.9771	+	21.5439i	0.361317	+	0.709125i
$924$	13.6941	−	18.8647i	0.450501	−	0.620603i
$925$	−18.9973	−	4.91232i	−0.624627	−	0.161516i
$926$	−2.16244	+	1.10238i	−0.0710623	+	0.0362266i
$927$	−5.91331	+	3.01298i	−0.194219	+	0.0989593i
$928$	−28.3502	−	20.5527i	−0.930640	−	0.674676i
$929$	22.2422	−	30.6137i	0.729743	−	1.00440i	−0.269401	−	0.963028i	$-0.586826\pi$
$929$	22.2422	−	30.6137i	0.729743	−	1.00440i	0.999144	−	0.0413764i	$-0.0131743\pi$
$930$	−22.6878	+	6.19087i	−0.743961	+	0.203007i
$931$	0.276324	+	0.380328i	0.00905616	+	0.0124647i
$932$	3.47436	+	21.8775i	0.113806	+	0.716622i
$933$	36.1020	+	5.71799i	1.18193	+	0.187199i
$934$	−37.4825	+	37.4980i	−1.22646	+	1.22697i
$935$	−11.4821	+	30.3081i	−0.375505	+	0.991181i
$936$	−4.69856	+	9.23563i	−0.153577	+	0.301876i
$937$	46.7377	+	23.8140i	1.52685	+	0.777971i	0.997516	−	0.0704402i	$-0.0224404\pi$
$937$	46.7377	+	23.8140i	1.52685	+	0.777971i	0.529338	+	0.848411i	$0.322440\pi$
$938$	−3.45965		0.000717276i	−0.112962		2.34199e-5i
$939$	−7.88882	+	24.2793i	−0.257442	+	0.792324i
$940$	4.78132	−	3.13772i	0.155949	−	0.102341i
$941$	2.06667	+	6.36056i	0.0673716	+	0.207348i	0.979075	−	0.203501i	$-0.0652321\pi$
$941$	2.06667	+	6.36056i	0.0673716	+	0.207348i	−0.911703	+	0.410850i	$0.865232\pi$
$942$	−3.66645	−	11.2762i	−0.119460	−	0.367400i
$943$	−25.3734	+	25.3734i	−0.826270	+	0.826270i
$944$	−5.47288	−	3.96935i	−0.178127	−	0.129191i
$945$	30.7034	+	6.38575i	0.998781	+	0.207729i
$946$	7.75808	−	49.0484i	0.252237	−	1.59470i
$947$	−1.79443	−	11.3296i	−0.0583113	−	0.368163i	−0.999538	−	0.0303880i	$-0.990326\pi$
$947$	−1.79443	−	11.3296i	−0.0583113	−	0.368163i	0.941227	−	0.337775i	$-0.109674\pi$
$948$	6.06659	−	38.4060i	0.197034	−	1.24737i
$949$			8.01618i			0.260216i
$950$	0.938074	+	4.22653i	0.0304351	+	0.137127i
$951$			6.76791i			0.219465i
$952$	−27.4575	+	8.94036i	−0.889902	+	0.289759i
$953$	−5.45253	−	34.4259i	−0.176625	−	1.11516i	−0.903561	−	0.428460i	$-0.859056\pi$
$953$	−5.45253	−	34.4259i	−0.176625	−	1.11516i	0.726936	−	0.686705i	$-0.240944\pi$
$954$	17.5219	+	2.77147i	0.567292	+	0.0897296i
$955$	49.2174	−	22.1719i	1.59264	−	0.717464i
$956$	−34.9730	+	0.0145016i	−1.13111	+	0.000469017i
$957$	−20.4358	+	20.4358i	−0.660597	+	0.660597i
$958$	19.5551	−	6.35833i	0.631797	−	0.205428i
$959$	0.265874	+	0.818275i	0.00858551	+	0.0264235i
$960$	−22.0469	−	8.32105i	−0.711562	−	0.268561i
$961$	−0.269021	+	0.827961i	−0.00867809	+	0.0267084i
$962$	−0.00333329	−	16.0775i	−0.000107470	−	0.518360i
$963$	7.53753	+	3.84057i	0.242894	+	0.123760i
$964$	−41.5260	+	30.1967i	−1.33746	+	0.972570i
$965$	−0.392255	−	0.314807i	−0.0126271	−	0.0101340i
$966$	−23.2567	−	23.2471i	−0.748273	−	0.747962i
$967$	52.7147	+	8.34919i	1.69519	+	0.268492i	0.927906	−	0.372814i	$-0.121607\pi$
$967$	52.7147	+	8.34919i	1.69519	+	0.268492i	0.767286	+	0.641306i	$0.221607\pi$
$968$	−2.59809	−	3.57130i	−0.0835059	−	0.114786i
$969$	1.93878	+	2.66850i	0.0622826	+	0.0857247i
$970$	10.3507	−	27.3387i	0.332341	−	0.877793i
$971$	−9.48352	+	13.0529i	−0.304341	+	0.418889i	−0.933606	−	0.358302i	$-0.883356\pi$
$971$	−9.48352	+	13.0529i	−0.304341	+	0.418889i	0.629265	+	0.777191i	$0.283356\pi$
$972$	−21.5717	−	10.9801i	−0.691913	−	0.352186i
$973$	−14.8723	+	7.57781i	−0.476784	+	0.242933i
$974$	13.1759	+	25.8459i	0.422183	+	0.828156i
$975$	−1.82813	+	18.9928i	−0.0585469	+	0.608255i
$976$	−12.8029	−	39.2923i	−0.409811	−	1.25772i
$977$	3.39500	+	6.66306i	0.108616	+	0.213170i	0.938916	−	0.344146i	$-0.111831\pi$
$977$	3.39500	+	6.66306i	0.108616	+	0.213170i	−0.830301	+	0.557316i	$0.811831\pi$
$978$	14.0737	−	10.2296i	0.450026	−	0.327106i
$979$	40.0007	+	29.0622i	1.27843	+	0.928831i
$980$	3.13019	−	1.41168i	0.0999904	−	0.0450944i
$981$	3.99197	−	2.90034i	0.127454	−	0.0926007i
$982$	14.9429	−	46.0221i	0.476848	−	1.46862i
$983$	−4.11972	+	26.0109i	−0.131399	+	0.829619i	0.830661	+	0.556779i	$0.187963\pi$
$983$	−4.11972	+	26.0109i	−0.131399	+	0.829619i	−0.962059	+	0.272840i	$0.912037\pi$
$984$	2.96974	+	18.6750i	0.0946718	+	0.595337i
$985$	−37.7116	+	10.2821i	−1.20159	+	0.327614i
$986$	35.3585	−	5.60775i	1.12604	−	0.178587i
$987$	1.90924	−	3.74709i	0.0607716	−	0.119271i
$988$	−3.16001	+	1.61176i	−0.100533	+	0.0512768i
$989$	−66.6207	−	21.6464i	−2.11841	−	0.688314i
$990$	7.03063	−	12.3075i	0.223448	−	0.391157i
$991$	47.1358	−	15.3154i	1.49732	−	0.486509i	0.558085	−	0.829784i	$-0.311536\pi$
$991$	47.1358	−	15.3154i	1.49732	−	0.486509i	0.939235	+	0.343275i	$0.111536\pi$
$992$	−25.8167	+	18.7978i	−0.819680	+	0.596831i
$993$	−8.16897	−	8.16897i	−0.259235	−	0.259235i
$994$	13.3727	−	26.2589i	0.424156	−	0.832880i
$995$	29.7055	−	3.25381i	0.941729	−	0.103153i
$996$	38.4932	−	12.5248i	1.21970	−	0.396865i
$997$	−39.9668	+	6.33012i	−1.26576	+	0.200477i	−0.752980	−	0.658043i	$-0.771384\pi$
$997$	−39.9668	+	6.33012i	−1.26576	+	0.200477i	−0.512780	+	0.858520i	$0.671384\pi$
$998$	8.71348	−	11.9983i	0.275821	−	0.379800i
$999$	22.0472			0.697541

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	100.2.l.b.3.9	yes	96
3.2	odd	2		900.2.bj.d.703.4		96
4.3	odd	2	inner	100.2.l.b.3.1	✓	96
5.2	odd	4		500.2.l.e.7.10		96
5.3	odd	4		500.2.l.d.7.3		96
5.4	even	2		500.2.l.f.243.4		96
12.11	even	2		900.2.bj.d.703.12		96
20.3	even	4		500.2.l.d.7.8		96
20.7	even	4		500.2.l.e.7.5		96
20.19	odd	2		500.2.l.f.243.12		96
25.6	even	5		500.2.l.e.143.5		96
25.8	odd	20		500.2.l.f.107.12		96
25.17	odd	20	inner	100.2.l.b.67.1	yes	96
25.19	even	10		500.2.l.d.143.8		96
75.17	even	20		900.2.bj.d.667.12		96
100.19	odd	10		500.2.l.d.143.3		96
100.31	odd	10		500.2.l.e.143.10		96
100.67	even	20	inner	100.2.l.b.67.9	yes	96
100.83	even	20		500.2.l.f.107.4		96
300.167	odd	20		900.2.bj.d.667.4		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
100.2.l.b.3.1	✓	96	4.3	odd	2	inner
100.2.l.b.3.9	yes	96	1.1	even	1	trivial
100.2.l.b.67.1	yes	96	25.17	odd	20	inner
100.2.l.b.67.9	yes	96	100.67	even	20	inner
500.2.l.d.7.3		96	5.3	odd	4
500.2.l.d.7.8		96	20.3	even	4
500.2.l.d.143.3		96	100.19	odd	10
500.2.l.d.143.8		96	25.19	even	10
500.2.l.e.7.5		96	20.7	even	4
500.2.l.e.7.10		96	5.2	odd	4
500.2.l.e.143.5		96	25.6	even	5
500.2.l.e.143.10		96	100.31	odd	10
500.2.l.f.107.4		96	100.83	even	20
500.2.l.f.107.12		96	25.8	odd	20
500.2.l.f.243.4		96	5.4	even	2
500.2.l.f.243.12		96	20.19	odd	2
900.2.bj.d.667.4		96	300.167	odd	20
900.2.bj.d.667.12		96	75.17	even	20
900.2.bj.d.703.4		96	3.2	odd	2
900.2.bj.d.703.12		96	12.11	even	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 100 = 2^{2} \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	100.l (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.831017 - 1.14430i) q^{2} +(1.30110 - 0.206075i) q^{3} +(-0.618823 - 1.90186i) q^{4} +(-2.22277 + 0.243473i) q^{5} +(0.845429 - 1.66010i) q^{6} +(1.76525 + 1.76525i) q^{7} +(-2.69054 - 0.872359i) q^{8} +(-1.20277 + 0.390802i) q^{9} +(-1.56856 + 2.74584i) q^{10} +(3.37074 + 1.09522i) q^{11} +(-1.19708 - 2.34699i) q^{12} +(-1.31515 + 2.58113i) q^{13} +(3.48691 - 0.553013i) q^{14} +(-2.84188 + 0.774840i) q^{15} +(-3.23412 + 2.35382i) q^{16} +(0.639749 - 4.03922i) q^{17} +(-0.552325 + 1.70108i) q^{18} +(-0.495334 + 0.359882i) q^{19} +(1.83855 + 4.07673i) q^{20} +(2.66054 + 1.93299i) q^{21} +(4.05440 - 2.94698i) q^{22} +(-3.20991 - 6.29981i) q^{23} +(-3.68044 - 0.580578i) q^{24} +(4.88144 - 1.08237i) q^{25} +(1.86066 + 3.64988i) q^{26} +(-5.00562 + 2.55049i) q^{27} +(2.26487 - 4.44962i) q^{28} +(-3.63844 + 5.00788i) q^{29} +(-1.47501 + 3.89586i) q^{30} +(3.31828 + 4.56723i) q^{31} +(0.00586407 + 5.65685i) q^{32} +(4.61138 + 0.730371i) q^{33} +(-4.09041 - 4.08872i) q^{34} +(-4.35353 - 3.49395i) q^{35} +(1.48755 + 2.04565i) q^{36} +(-3.49669 - 1.78165i) q^{37} +(0.000179519 + 0.865876i) q^{38} +(-1.17924 + 3.62933i) q^{39} +(6.19285 + 1.28398i) q^{40} +(-1.56830 - 4.82673i) q^{41} +(4.42287 - 1.43809i) q^{42} +(7.00553 - 7.00553i) q^{43} +(-0.00293923 - 7.08842i) q^{44} +(2.57833 - 1.16151i) q^{45} +(-9.87633 - 1.56216i) q^{46} +(-0.200048 - 1.26305i) q^{47} +(-3.72286 + 3.72904i) q^{48} -0.767820i q^{49} +(2.81801 - 6.48528i) q^{50} -5.38728i q^{51} +(5.72278 + 0.903967i) q^{52} +(-1.55163 - 9.79662i) q^{53} +(-1.24124 + 7.84740i) q^{54} +(-7.75905 - 1.61374i) q^{55} +(-3.20953 - 6.28938i) q^{56} +(-0.570319 + 0.570319i) q^{57} +(2.70689 + 8.32508i) q^{58} +(0.522299 + 1.60747i) q^{59} +(3.23226 + 4.92537i) q^{60} +(-3.19258 + 9.82574i) q^{61} +(7.98380 - 0.00165525i) q^{62} +(-2.81304 - 1.43331i) q^{63} +(6.47798 + 4.69423i) q^{64} +(2.29485 - 6.05746i) q^{65} +(4.66790 - 4.66983i) q^{66} +(-0.967870 - 0.153296i) q^{67} +(-8.07790 + 1.28285i) q^{68} +(-5.47466 - 7.53522i) q^{69} +(-7.61597 + 2.07819i) q^{70} +(4.90606 - 6.75261i) q^{71} +(3.57701 - 0.00222482i) q^{72} +(2.46559 - 1.25628i) q^{73} +(-4.94454 + 2.52066i) q^{74} +(6.12821 - 2.41421i) q^{75} +(0.990967 + 0.719352i) q^{76} +(4.01685 + 7.88352i) q^{77} +(3.17306 + 4.36544i) q^{78} +(11.9395 + 8.67456i) q^{79} +(6.61562 - 6.01944i) q^{80} +(-2.91783 + 2.11993i) q^{81} +(-6.82648 - 2.21649i) q^{82} +(-2.40351 + 15.1752i) q^{83} +(2.02988 - 6.25614i) q^{84} +(-0.438579 + 9.13402i) q^{85} +(-2.19468 - 13.8381i) q^{86} +(-3.70199 + 7.26556i) q^{87} +(-8.11368 - 5.88723i) q^{88} +(13.2677 + 4.31094i) q^{89} +(0.813527 - 3.91560i) q^{90} +(-6.87788 + 2.23476i) q^{91} +(-9.99497 + 10.0033i) q^{92} +(5.25862 + 5.25862i) q^{93} +(-1.61155 - 0.820703i) q^{94} +(1.01340 - 0.920535i) q^{95} +(1.17336 + 7.35894i) q^{96} +(-9.13034 + 1.44610i) q^{97} +(-0.878612 - 0.638071i) q^{98} -4.48223 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 10 q^{2} - 10 q^{4} - 20 q^{5} - 6 q^{6} - 10 q^{8} - 20 q^{9} - 10 q^{10} - 10 q^{12} - 20 q^{13} - 10 q^{14} - 14 q^{16} - 20 q^{17} + 20 q^{18} + 10 q^{20} - 12 q^{21} - 10 q^{22} - 20 q^{25}+ \cdots - 130 q^{98}+O(q^{100}) \) 96 * q - 10 * q^2 - 10 * q^4 - 20 * q^5 - 6 * q^6 - 10 * q^8 - 20 * q^9 - 10 * q^10 - 10 * q^12 - 20 * q^13 - 10 * q^14 - 14 * q^16 - 20 * q^17 + 20 * q^18 + 10 * q^20 - 12 * q^21 - 10 * q^22 - 20 * q^25 - 12 * q^26 - 10 * q^28 - 20 * q^29 - 10 * q^30 - 50 * q^32 - 20 * q^33 - 60 * q^34 - 10 * q^36 + 40 * q^37 + 20 * q^38 + 40 * q^40 - 28 * q^41 + 90 * q^42 + 60 * q^44 - 20 * q^45 - 6 * q^46 + 120 * q^48 + 80 * q^50 + 80 * q^52 - 40 * q^53 + 120 * q^54 - 6 * q^56 - 20 * q^57 + 60 * q^58 + 90 * q^60 + 12 * q^61 + 40 * q^62 + 20 * q^64 - 100 * q^65 - 30 * q^66 - 10 * q^68 - 20 * q^69 - 10 * q^70 - 40 * q^72 - 20 * q^73 - 20 * q^77 + 20 * q^78 - 10 * q^80 - 36 * q^81 - 50 * q^82 - 90 * q^84 + 100 * q^85 - 6 * q^86 - 130 * q^88 + 160 * q^89 - 160 * q^90 - 110 * q^92 + 60 * q^93 - 170 * q^94 + 14 * q^96 + 180 * q^97 - 130 * q^98

Introduction

L-functions

Modular forms

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Database

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