LMFDB - Embedded newform 527.2.h.c.35.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [527,2,Mod(35,527)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(527, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("527.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 527 = 17 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	527.h (of order $5$, degree $4$, 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:	$4.20811618652$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			35.12
Character	$\chi$	$=$	527.35
Dual form			527.2.h.c.256.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.00688221 + 0.0211813i) q^{2} +(0.716853 - 2.20625i) q^{3} +(1.61763 - 1.17528i) q^{4} -3.45720 q^{5} +0.0516646 q^{6} +(-4.04583 + 2.93947i) q^{7} +(0.0720625 + 0.0523565i) q^{8} +(-1.92660 - 1.39976i) q^{9} +O(q^{10})$	\(q+(0.00688221 + 0.0211813i) q^{2} +(0.716853 - 2.20625i) q^{3} +(1.61763 - 1.17528i) q^{4} -3.45720 q^{5} +0.0516646 q^{6} +(-4.04583 + 2.93947i) q^{7} +(0.0720625 + 0.0523565i) q^{8} +(-1.92660 - 1.39976i) q^{9} +(-0.0237932 - 0.0732278i) q^{10} +(-2.17285 + 1.57867i) q^{11} +(-1.43335 - 4.41140i) q^{12} +(-0.806351 + 2.48169i) q^{13} +(-0.0901059 - 0.0654658i) q^{14} +(-2.47830 + 7.62743i) q^{15} +(1.23515 - 3.80140i) q^{16} +(-0.809017 - 0.587785i) q^{17} +(0.0163893 - 0.0504412i) q^{18} +(-2.13408 - 6.56802i) q^{19} +(-5.59248 + 4.06317i) q^{20} +(3.58493 + 11.0333i) q^{21} +(-0.0483922 - 0.0351590i) q^{22} +(-6.34018 - 4.60641i) q^{23} +(0.167170 - 0.121456i) q^{24} +6.95222 q^{25} -0.0581149 q^{26} +(1.16094 - 0.843475i) q^{27} +(-3.08997 + 9.50996i) q^{28} +(-1.88743 - 5.80892i) q^{29} -0.178615 q^{30} +(3.97587 + 3.89775i) q^{31} +0.267167 q^{32} +(1.92532 + 5.92553i) q^{33} +(0.00688221 - 0.0211813i) q^{34} +(13.9872 - 10.1623i) q^{35} -4.76163 q^{36} -2.72560 q^{37} +(0.124432 - 0.0904049i) q^{38} +(4.89719 + 3.55802i) q^{39} +(-0.249134 - 0.181007i) q^{40} +(2.07457 + 6.38486i) q^{41} +(-0.209026 + 0.151867i) q^{42} +(1.61799 + 4.97967i) q^{43} +(-1.65950 + 5.10742i) q^{44} +(6.66063 + 4.83923i) q^{45} +(0.0539352 - 0.165995i) q^{46} +(0.0389241 - 0.119796i) q^{47} +(-7.50140 - 5.45009i) q^{48} +(5.56516 - 17.1278i) q^{49} +(0.0478466 + 0.147257i) q^{50} +(-1.87675 + 1.36354i) q^{51} +(1.61230 + 4.96216i) q^{52} +(-2.29095 - 1.66447i) q^{53} +(0.0258557 + 0.0187853i) q^{54} +(7.51198 - 5.45777i) q^{55} -0.445453 q^{56} -16.0205 q^{57} +(0.110050 - 0.0799563i) q^{58} +(-1.27453 + 3.92260i) q^{59} +(4.95538 + 15.2511i) q^{60} +4.20702 q^{61} +(-0.0551966 + 0.111039i) q^{62} +11.9092 q^{63} +(-2.46846 - 7.59713i) q^{64} +(2.78772 - 8.57971i) q^{65} +(-0.112260 + 0.0815614i) q^{66} -7.02426 q^{67} -1.99950 q^{68} +(-14.7079 + 10.6859i) q^{69} +(0.311514 + 0.226328i) q^{70} +(-11.0087 - 7.99826i) q^{71} +(-0.0655492 - 0.201740i) q^{72} +(5.10738 - 3.71073i) q^{73} +(-0.0187582 - 0.0577317i) q^{74} +(4.98372 - 15.3383i) q^{75} +(-11.1714 - 8.11650i) q^{76} +(4.15055 - 12.7741i) q^{77} +(-0.0416598 + 0.128216i) q^{78} +(1.89789 + 1.37890i) q^{79} +(-4.27015 + 13.1422i) q^{80} +(-3.23637 - 9.96053i) q^{81} +(-0.120962 + 0.0878839i) q^{82} +(-2.98957 - 9.20096i) q^{83} +(18.7663 + 13.6345i) q^{84} +(2.79693 + 2.03209i) q^{85} +(-0.0943402 + 0.0685422i) q^{86} -14.1689 q^{87} -0.239235 q^{88} +(-6.33924 + 4.60573i) q^{89} +(-0.0566612 + 0.174385i) q^{90} +(-4.03250 - 12.4108i) q^{91} -15.6699 q^{92} +(11.4495 - 5.97763i) q^{93} +0.00280531 q^{94} +(7.37793 + 22.7069i) q^{95} +(0.191520 - 0.589437i) q^{96} +(-1.96670 + 1.42889i) q^{97} +0.401089 q^{98} +6.39597 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 2 q^{2} - 4 q^{3} - 30 q^{4} + 6 q^{5} - 8 q^{6} - 10 q^{7} - 36 q^{9}+O(q^{10}) $ 96 * q - 2 * q^2 - 4 * q^3 - 30 * q^4 + 6 * q^5 - 8 * q^6 - 10 * q^7 - 36 * q^9	\( 96 q - 2 q^{2} - 4 q^{3} - 30 q^{4} + 6 q^{5} - 8 q^{6} - 10 q^{7} - 36 q^{9} - 13 q^{10} - 4 q^{11} - 14 q^{12} - 14 q^{13} + 17 q^{14} - 9 q^{15} - 58 q^{16} - 24 q^{17} - 24 q^{18} - 6 q^{19} + 43 q^{20} + 26 q^{21} + 42 q^{22} - 11 q^{23} - 38 q^{24} + 126 q^{25} - 44 q^{26} - q^{27} + 31 q^{28} - 10 q^{29} - 70 q^{30} + 21 q^{31} + 28 q^{32} - 36 q^{33} - 2 q^{34} + 2 q^{35} + 160 q^{36} + 54 q^{37} + 15 q^{38} - 10 q^{39} - 29 q^{40} - 14 q^{41} - 3 q^{42} + 6 q^{43} - 5 q^{44} - q^{45} - 17 q^{46} - 14 q^{47} - 93 q^{48} - 72 q^{49} + 108 q^{50} + q^{51} + 13 q^{52} - 30 q^{53} - 63 q^{54} - 12 q^{55} + 66 q^{56} - 62 q^{57} + 29 q^{58} + 8 q^{59} - 86 q^{60} - 14 q^{61} - 34 q^{62} + 86 q^{63} - 122 q^{64} + 13 q^{65} - 40 q^{66} + 126 q^{67} + 120 q^{68} - 34 q^{69} - 38 q^{70} - 39 q^{71} - 51 q^{72} - 60 q^{73} - 111 q^{74} - 41 q^{75} + 64 q^{76} - 26 q^{77} - 99 q^{78} - 33 q^{79} - 91 q^{80} + 81 q^{81} - 88 q^{82} + 22 q^{83} + 160 q^{84} - 4 q^{85} + 35 q^{86} + 70 q^{87} - 120 q^{88} + 101 q^{89} + 125 q^{90} - 13 q^{91} - 98 q^{92} + 47 q^{93} - 8 q^{94} - 64 q^{95} + 208 q^{96} + 16 q^{97} + 8 q^{98} + 280 q^{99}+O(q^{100}) \) 96 * q - 2 * q^2 - 4 * q^3 - 30 * q^4 + 6 * q^5 - 8 * q^6 - 10 * q^7 - 36 * q^9 - 13 * q^10 - 4 * q^11 - 14 * q^12 - 14 * q^13 + 17 * q^14 - 9 * q^15 - 58 * q^16 - 24 * q^17 - 24 * q^18 - 6 * q^19 + 43 * q^20 + 26 * q^21 + 42 * q^22 - 11 * q^23 - 38 * q^24 + 126 * q^25 - 44 * q^26 - q^27 + 31 * q^28 - 10 * q^29 - 70 * q^30 + 21 * q^31 + 28 * q^32 - 36 * q^33 - 2 * q^34 + 2 * q^35 + 160 * q^36 + 54 * q^37 + 15 * q^38 - 10 * q^39 - 29 * q^40 - 14 * q^41 - 3 * q^42 + 6 * q^43 - 5 * q^44 - q^45 - 17 * q^46 - 14 * q^47 - 93 * q^48 - 72 * q^49 + 108 * q^50 + q^51 + 13 * q^52 - 30 * q^53 - 63 * q^54 - 12 * q^55 + 66 * q^56 - 62 * q^57 + 29 * q^58 + 8 * q^59 - 86 * q^60 - 14 * q^61 - 34 * q^62 + 86 * q^63 - 122 * q^64 + 13 * q^65 - 40 * q^66 + 126 * q^67 + 120 * q^68 - 34 * q^69 - 38 * q^70 - 39 * q^71 - 51 * q^72 - 60 * q^73 - 111 * q^74 - 41 * q^75 + 64 * q^76 - 26 * q^77 - 99 * q^78 - 33 * q^79 - 91 * q^80 + 81 * q^81 - 88 * q^82 + 22 * q^83 + 160 * q^84 - 4 * q^85 + 35 * q^86 + 70 * q^87 - 120 * q^88 + 101 * q^89 + 125 * q^90 - 13 * q^91 - 98 * q^92 + 47 * q^93 - 8 * q^94 - 64 * q^95 + 208 * q^96 + 16 * q^97 + 8 * q^98 + 280 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/527\mathbb{Z}\right)^\times$.

$n$	$156$	$375$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.00688221	+	0.0211813i	0.00486646	+	0.0149774i	0.953460	−	0.301519i	$-0.0974936\pi$
$2$	0.00688221	+	0.0211813i	0.00486646	+	0.0149774i	−0.948594	+	0.316496i	$0.897494\pi$
$3$	0.716853	−	2.20625i	0.413875	−	1.27378i	−0.499378	−	0.866384i	$-0.666438\pi$
$3$	0.716853	−	2.20625i	0.413875	−	1.27378i	0.913253	−	0.407393i	$-0.133562\pi$
$4$	1.61763	−	1.17528i	0.808816	−	0.587639i
$5$	−3.45720			−1.54611			−0.773053	−	0.634342i	$-0.781271\pi$
$5$	−3.45720			−1.54611			−0.773053	+	0.634342i	$0.781271\pi$
$6$	0.0516646			0.0210920
$7$	−4.04583	+	2.93947i	−1.52918	+	1.11102i	−0.572489	+	0.819912i	$0.694022\pi$
$7$	−4.04583	+	2.93947i	−1.52918	+	1.11102i	−0.956692	+	0.291103i	$0.905978\pi$
$8$	0.0720625	+	0.0523565i	0.0254779	+	0.0185108i
$9$	−1.92660	−	1.39976i	−0.642199	−	0.466585i
$10$	−0.0237932	−	0.0732278i	−0.00752405	−	0.0231567i
$11$	−2.17285	+	1.57867i	−0.655140	+	0.475987i	−0.865018	−	0.501741i	$-0.832693\pi$
$11$	−2.17285	+	1.57867i	−0.655140	+	0.475987i	0.209878	+	0.977728i	$0.432693\pi$
$12$	−1.43335	−	4.41140i	−0.413773	−	1.27346i
$13$	−0.806351	+	2.48169i	−0.223642	+	0.688298i	0.774785	+	0.632225i	$0.217858\pi$
$13$	−0.806351	+	2.48169i	−0.223642	+	0.688298i	−0.998427	+	0.0560733i	$0.982142\pi$
$14$	−0.0901059	−	0.0654658i	−0.0240818	−	0.0174965i
$15$	−2.47830	+	7.62743i	−0.639895	+	1.96939i
$16$	1.23515	−	3.80140i	0.308787	−	0.950349i
$17$	−0.809017	−	0.587785i	−0.196215	−	0.142559i
$17$	−0.809017	−	0.587785i	−0.196215	−	0.142559i
$18$	0.0163893	−	0.0504412i	0.00386300	−	0.0118891i
$19$	−2.13408	−	6.56802i	−0.489591	−	1.50681i	−0.825220	−	0.564812i	$-0.808949\pi$
$19$	−2.13408	−	6.56802i	−0.489591	−	1.50681i	0.335628	−	0.941994i	$-0.391051\pi$
$20$	−5.59248	+	4.06317i	−1.25052	+	0.908553i
$21$	3.58493	+	11.0333i	0.782296	+	2.40766i
$22$	−0.0483922	−	0.0351590i	−0.0103173	−	0.00749593i
$23$	−6.34018	−	4.60641i	−1.32202	−	0.960504i	−0.999905	−	0.0138032i	$-0.995606\pi$
$23$	−6.34018	−	4.60641i	−1.32202	−	0.960504i	−0.322115	−	0.946700i	$-0.604394\pi$
$24$	0.167170	−	0.121456i	0.0341233	−	0.0247921i
$25$	6.95222			1.39044
$26$	−0.0581149			−0.0113973
$27$	1.16094	−	0.843475i	0.223424	−	0.162327i
$28$	−3.08997	+	9.50996i	−0.583950	+	1.79721i
$29$	−1.88743	−	5.80892i	−0.350487	−	1.07869i	−0.958580	−	0.284823i	$-0.908065\pi$
$29$	−1.88743	−	5.80892i	−0.350487	−	1.07869i	0.608093	−	0.793866i	$-0.291935\pi$
$30$	−0.178615			−0.0326105
$31$	3.97587	+	3.89775i	0.714087	+	0.700057i
$31$	3.97587	+	3.89775i	0.714087	+	0.700057i
$32$	0.267167			0.0472289
$33$	1.92532	+	5.92553i	0.335155	+	1.03150i
$34$	0.00688221	−	0.0211813i	0.00118029	−	0.00363256i
$35$	13.9872	−	10.1623i	2.36428	−	1.71775i
$36$	−4.76163			−0.793605
$37$	−2.72560			−0.448086			−0.224043	−	0.974579i	$-0.571926\pi$
$37$	−2.72560			−0.448086			−0.224043	+	0.974579i	$0.571926\pi$
$38$	0.124432	−	0.0904049i	0.0201855	−	0.0146656i
$39$	4.89719	+	3.55802i	0.784179	+	0.569739i
$40$	−0.249134	−	0.181007i	−0.0393916	−	0.0286197i
$41$	2.07457	+	6.38486i	0.323993	+	0.997148i	0.971893	+	0.235423i	$0.0756475\pi$
$41$	2.07457	+	6.38486i	0.323993	+	0.997148i	−0.647900	+	0.761725i	$0.724353\pi$
$42$	−0.209026	+	0.151867i	−0.0322535	+	0.0234335i
$43$	1.61799	+	4.97967i	0.246741	+	0.759392i	0.995345	+	0.0963742i	$0.0307246\pi$
$43$	1.61799	+	4.97967i	0.246741	+	0.759392i	−0.748604	+	0.663018i	$0.769275\pi$
$44$	−1.65950	+	5.10742i	−0.250179	+	0.769972i
$45$	6.66063	+	4.83923i	0.992908	+	0.721390i
$46$	0.0539352	−	0.165995i	0.00795231	−	0.0244747i
$47$	0.0389241	−	0.119796i	0.00567766	−	0.0174741i	−0.948178	−	0.317741i	$-0.897076\pi$
$47$	0.0389241	−	0.119796i	0.00567766	−	0.0174741i	0.953855	+	0.300267i	$0.0970758\pi$
$48$	−7.50140	−	5.45009i	−1.08273	−	0.786652i
$49$	5.56516	−	17.1278i	0.795023	−	2.44683i
$50$	0.0478466	+	0.147257i	0.00676653	+	0.0208252i
$51$	−1.87675	+	1.36354i	−0.262797	+	0.190933i
$52$	1.61230	+	4.96216i	0.223586	+	0.688127i
$53$	−2.29095	−	1.66447i	−0.314686	−	0.228633i	0.419219	−	0.907885i	$-0.362304\pi$
$53$	−2.29095	−	1.66447i	−0.314686	−	0.228633i	−0.733905	+	0.679253i	$0.762304\pi$
$54$	0.0258557	+	0.0187853i	0.00351852	+	0.00255635i
$55$	7.51198	−	5.45777i	1.01292	−	0.735926i
$56$	−0.445453			−0.0595262
$57$	−16.0205			−2.12197
$58$	0.110050	−	0.0799563i	0.0144503	−	0.0104988i
$59$	−1.27453	+	3.92260i	−0.165930	+	0.510679i	−0.999104	−	0.0423319i	$-0.986521\pi$
$59$	−1.27453	+	3.92260i	−0.165930	+	0.510679i	0.833174	+	0.553011i	$0.186521\pi$
$60$	4.95538	+	15.2511i	0.639736	+	1.96891i
$61$	4.20702			0.538653			0.269327	−	0.963049i	$-0.413199\pi$
$61$	4.20702			0.538653			0.269327	+	0.963049i	$0.413199\pi$
$62$	−0.0551966	+	0.111039i	−0.00700997	+	0.0141020i
$63$	11.9092			1.50042
$64$	−2.46846	−	7.59713i	−0.308557	−	0.949642i
$65$	2.78772	−	8.57971i	0.345774	−	1.06418i
$66$	−0.112260	+	0.0815614i	−0.0138182	+	0.0100395i
$67$	−7.02426			−0.858150			−0.429075	−	0.903269i	$-0.641160\pi$
$67$	−7.02426			−0.858150			−0.429075	+	0.903269i	$0.641160\pi$
$68$	−1.99950			−0.242475
$69$	−14.7079	+	10.6859i	−1.77062	+	1.28643i
$70$	0.311514	+	0.226328i	0.0372330	+	0.0270514i
$71$	−11.0087	−	7.99826i	−1.30649	−	0.949218i	−0.306491	−	0.951874i	$-0.599155\pi$
$71$	−11.0087	−	7.99826i	−1.30649	−	0.949218i	−0.999996	+	0.00265519i	$0.999155\pi$
$72$	−0.0655492	−	0.201740i	−0.00772505	−	0.0237752i
$73$	5.10738	−	3.71073i	0.597774	−	0.434308i	−0.247314	−	0.968935i	$-0.579548\pi$
$73$	5.10738	−	3.71073i	0.597774	−	0.434308i	0.845088	+	0.534627i	$0.179548\pi$
$74$	−0.0187582	−	0.0577317i	−0.00218059	−	0.00671117i
$75$	4.98372	−	15.3383i	0.575470	−	1.77112i
$76$	−11.1714	−	8.11650i	−1.28145	−	0.931027i
$77$	4.15055	−	12.7741i	0.472999	−	1.45574i
$78$	−0.0416598	+	0.128216i	−0.00471705	+	0.0145176i
$79$	1.89789	+	1.37890i	0.213529	+	0.155138i	0.689409	−	0.724372i	$-0.257870\pi$
$79$	1.89789	+	1.37890i	0.213529	+	0.155138i	−0.475880	+	0.879510i	$0.657870\pi$
$80$	−4.27015	+	13.1422i	−0.477418	+	1.46934i
$81$	−3.23637	−	9.96053i	−0.359597	−	1.10673i
$82$	−0.120962	+	0.0878839i	−0.0133580	+	0.00970515i
$83$	−2.98957	−	9.20096i	−0.328148	−	1.00994i	−0.969999	−	0.243107i	$-0.921833\pi$
$83$	−2.98957	−	9.20096i	−0.328148	−	1.00994i	0.641851	−	0.766829i	$-0.278167\pi$
$84$	18.7663	+	13.6345i	2.04757	+	1.48765i
$85$	2.79693	+	2.03209i	0.303370	+	0.220411i
$86$	−0.0943402	+	0.0685422i	−0.0101730	+	0.00739109i
$87$	−14.1689			−1.51907
$88$	−0.239235			−0.0255025
$89$	−6.33924	+	4.60573i	−0.671958	+	0.488206i	−0.870680	−	0.491850i	$-0.836321\pi$
$89$	−6.33924	+	4.60573i	−0.671958	+	0.488206i	0.198722	+	0.980056i	$0.436321\pi$
$90$	−0.0566612	+	0.174385i	−0.00597261	+	0.0183818i
$91$	−4.03250	−	12.4108i	−0.422721	−	1.30100i
$92$	−15.6699			−1.63370
$93$	11.4495	−	5.97763i	1.18726	−	0.619851i
$94$	0.00280531			0.000289346
$95$	7.37793	+	22.7069i	0.756960	+	2.32968i
$96$	0.191520	−	0.589437i	0.0195469	−	0.0601591i
$97$	−1.96670	+	1.42889i	−0.199689	+	0.145082i	−0.683136	−	0.730291i	$-0.739384\pi$
$97$	−1.96670	+	1.42889i	−0.199689	+	0.145082i	0.483448	+	0.875373i	$0.339384\pi$
$98$	0.401089			0.0405161
$99$	6.39597			0.642819
$100$	11.2461	−	8.17079i	1.12461	−	0.817079i
$101$	4.42763	+	3.21686i	0.440566	+	0.320090i	0.785860	−	0.618405i	$-0.212221\pi$
$101$	4.42763	+	3.21686i	0.440566	+	0.320090i	−0.345294	+	0.938495i	$0.612221\pi$
$102$	−0.0417976	−	0.0303677i	−0.00413858	−	0.00300685i
$103$	4.95779	+	15.2585i	0.488505	+	1.50347i	0.826839	+	0.562439i	$0.190137\pi$
$103$	4.95779	+	15.2585i	0.488505	+	1.50347i	−0.338333	+	0.941026i	$0.609863\pi$
$104$	−0.188040	+	0.136619i	−0.0184389	+	0.0133966i
$105$	−12.3938	−	38.1442i	−1.20951	−	3.72249i
$106$	0.0194888	−	0.0599804i	0.00189292	−	0.00582581i
$107$	−4.16811	−	3.02831i	−0.402946	−	0.292758i	0.367794	−	0.929907i	$-0.380113\pi$
$107$	−4.16811	−	3.02831i	−0.402946	−	0.292758i	−0.770740	+	0.637150i	$0.780113\pi$
$108$	0.886662	−	2.72886i	0.0853191	−	0.262585i
$109$	3.28207	−	10.1012i	0.314365	−	0.967516i	−0.661650	−	0.749813i	$-0.730144\pi$
$109$	3.28207	−	10.1012i	0.314365	−	0.967516i	0.976015	−	0.217703i	$-0.0698564\pi$
$110$	0.167302	+	0.121552i	0.0159516	+	0.0115895i
$111$	−1.95386	+	6.01336i	−0.185452	+	0.570762i
$112$	6.17688	+	19.0105i	0.583661	+	1.79632i
$113$	−9.32165	+	6.77257i	−0.876907	+	0.637110i	−0.932431	−	0.361347i	$-0.882317\pi$
$113$	−9.32165	+	6.77257i	−0.876907	+	0.637110i	0.0555246	+	0.998457i	$0.482317\pi$
$114$	−0.110256	−	0.339334i	−0.0103265	−	0.0317816i
$115$	21.9193	+	15.9253i	2.04398	+	1.48504i
$116$	−9.88027	−	7.17844i	−0.917360	−	0.666501i
$117$	5.02728	−	3.65253i	0.464772	−	0.337677i
$118$	−0.0918572			−0.00845614
$119$	5.00092			0.458434
$120$	−0.577938	+	0.419897i	−0.0527583	+	0.0383311i
$121$	−1.17010	+	3.60119i	−0.106372	+	0.327381i
$122$	0.0289536	+	0.0891099i	0.00262133	+	0.00806763i
$123$	15.5738			1.40424
$124$	11.0124	+	1.63238i	0.988946	+	0.146592i
$125$	−6.74919			−0.603666
$126$	0.0819618	+	0.252253i	0.00730174	+	0.0224724i
$127$	−1.56971	+	4.83106i	−0.139289	+	0.428687i	−0.996232	−	0.0867230i	$-0.972361\pi$
$127$	−1.56971	+	4.83106i	−0.139289	+	0.428687i	0.856943	+	0.515410i	$0.172361\pi$
$128$	0.576214	−	0.418644i	0.0509306	−	0.0370032i
$129$	12.1462			1.06942
$130$	0.200915			0.0176214
$131$	9.28982	−	6.74945i	0.811655	−	0.589702i	−0.102655	−	0.994717i	$-0.532734\pi$
$131$	9.28982	−	6.74945i	0.811655	−	0.589702i	0.914310	+	0.405015i	$0.132734\pi$
$132$	10.0786	+	7.32254i	0.877230	+	0.637345i
$133$	27.9406	+	20.3000i	2.42276	+	1.76024i
$134$	−0.0483424	−	0.148783i	−0.00417615	−	0.0128529i
$135$	−4.01361	+	2.91606i	−0.345437	+	0.250974i
$136$	−0.0275254	−	0.0847145i	−0.00236028	−	0.00726421i
$137$	4.90211	−	15.0871i	0.418816	−	1.28898i	−0.489978	−	0.871735i	$-0.662995\pi$
$137$	4.90211	−	15.0871i	0.418816	−	1.28898i	0.908793	−	0.417247i	$-0.137005\pi$
$138$	−0.327563	−	0.237989i	−0.0278840	−	0.0202589i
$139$	3.77332	−	11.6131i	0.320049	−	0.985009i	−0.653577	−	0.756860i	$-0.726733\pi$
$139$	3.77332	−	11.6131i	0.320049	−	0.985009i	0.973626	−	0.228149i	$-0.0732674\pi$
$140$	10.6827	−	32.8778i	0.902849	−	2.77868i
$141$	−0.236397	−	0.171752i	−0.0199082	−	0.0144642i
$142$	0.0936493	−	0.288223i	0.00785887	−	0.0241871i
$143$	−2.16569	−	6.66532i	−0.181104	−	0.557382i
$144$	−7.70066	+	5.59486i	−0.641722	+	0.466238i
$145$	6.52522	+	20.0826i	0.541890	+	1.66777i
$146$	0.113748	+	0.0826427i	0.00941385	+	0.00683956i
$147$	−33.7988	−	24.5563i	−2.78768	−	2.02537i
$148$	−4.40903	+	3.20334i	−0.362420	+	0.263313i
$149$	−6.34868			−0.520104			−0.260052	−	0.965595i	$-0.583740\pi$
$149$	−6.34868			−0.520104			−0.260052	+	0.965595i	$0.583740\pi$
$150$	0.359184			0.0293272
$151$	−9.77912	+	7.10494i	−0.795813	+	0.578192i	−0.909683	−	0.415304i	$-0.863675\pi$
$151$	−9.77912	+	7.10494i	−0.795813	+	0.578192i	0.113870	+	0.993496i	$0.463675\pi$
$152$	0.190091	−	0.585040i	0.0154184	−	0.0474530i
$153$	0.735895	+	2.26485i	0.0594936	+	0.183102i
$154$	0.299136			0.0241050
$155$	−13.7454	−	13.4753i	−1.10405	−	1.08236i
$156$	12.1035			0.969058
$157$	−0.743073	−	2.28694i	−0.0593037	−	0.182518i	0.917016	−	0.398850i	$-0.130591\pi$
$157$	−0.743073	−	2.28694i	−0.0593037	−	0.182518i	−0.976320	+	0.216332i	$0.930591\pi$
$158$	−0.0161451	+	0.0496895i	−0.00128444	+	0.00395309i
$159$	−5.31451	+	3.86122i	−0.421468	+	0.306214i
$160$	−0.923650			−0.0730209
$161$	39.1917			3.08874
$162$	0.188703	−	0.137101i	0.0148259	−	0.0107717i
$163$	−12.6938	−	9.22262i	−0.994259	−	0.722371i	−0.0334092	−	0.999442i	$-0.510636\pi$
$163$	−12.6938	−	9.22262i	−0.994259	−	0.722371i	−0.960850	+	0.277070i	$0.910636\pi$
$164$	10.8599	+	7.89017i	0.848015	+	0.616119i
$165$	−6.65621	−	20.4857i	−0.518185	−	1.59481i
$166$	0.174313	−	0.126646i	0.0135293	−	0.00982962i
$167$	0.278522	+	0.857202i	0.0215527	+	0.0663323i	0.961254	−	0.275663i	$-0.0888973\pi$
$167$	0.278522	+	0.857202i	0.0215527	+	0.0663323i	−0.939702	+	0.341995i	$0.888897\pi$
$168$	−0.319324	+	0.982779i	−0.0246364	+	0.0758231i
$169$	5.00862	+	3.63898i	0.385278	+	0.279921i
$170$	−0.0237932	+	0.0732278i	−0.00182485	+	0.00561631i
$171$	−5.08211	+	15.6411i	−0.388638	+	1.19611i
$172$	8.46981	+	6.15368i	0.645817	+	0.469214i
$173$	−7.74952	+	23.8506i	−0.589185	+	1.81333i	−0.00741412	+	0.999973i	$0.502360\pi$
$173$	−7.74952	+	23.8506i	−0.589185	+	1.81333i	−0.581771	+	0.813353i	$0.697640\pi$
$174$	−0.0975134	−	0.300116i	−0.00739248	−	0.0227517i
$175$	−28.1275	+	20.4358i	−2.12624	+	1.54480i
$176$	3.31735	+	10.2098i	0.250055	+	0.769590i
$177$	7.74058	+	5.62386i	0.581817	+	0.422715i
$178$	−0.141183	−	0.102575i	−0.0105821	−	0.00768836i
$179$	−2.87462	+	2.08853i	−0.214859	+	0.156104i	−0.690010	−	0.723800i	$-0.742394\pi$
$179$	−2.87462	+	2.08853i	−0.214859	+	0.156104i	0.475150	+	0.879905i	$0.342394\pi$
$180$	16.4619			1.22700
$181$	19.8585			1.47607			0.738037	−	0.674761i	$-0.235753\pi$
$181$	19.8585			1.47607			0.738037	+	0.674761i	$0.235753\pi$
$182$	0.235123	−	0.170827i	0.0174285	−	0.0126625i
$183$	3.01581	−	9.28172i	0.222935	−	0.686125i
$184$	−0.215714	−	0.663899i	−0.0159026	−	0.0489433i
$185$	9.42295			0.692789
$186$	0.205412	+	0.201376i	0.0150615	+	0.0147656i
$187$	2.68579			0.196405
$188$	−0.0778289	−	0.239533i	−0.00567626	−	0.0174697i
$189$	−2.21761	+	6.82512i	−0.161308	+	0.496454i
$190$	−0.430185	+	0.312548i	−0.0312089	+	0.0226746i
$191$	−11.5634			−0.836695			−0.418347	−	0.908287i	$-0.637391\pi$
$191$	−11.5634			−0.836695			−0.418347	+	0.908287i	$0.637391\pi$
$192$	−18.5307			−1.33734
$193$	12.7996	−	9.29949i	0.921339	−	0.669392i	−0.0225181	−	0.999746i	$-0.507168\pi$
$193$	12.7996	−	9.29949i	0.921339	−	0.669392i	0.943857	+	0.330355i	$0.107168\pi$
$194$	−0.0438010	−	0.0318233i	−0.00314473	−	0.00228478i
$195$	−16.9306	−	12.3008i	−1.21242	−	0.880877i
$196$	−11.1276	−	34.2471i	−0.794826	−	2.44622i
$197$	−2.98556	+	2.16913i	−0.212712	+	0.154544i	−0.689040	−	0.724723i	$-0.741968\pi$
$197$	−2.98556	+	2.16913i	−0.212712	+	0.154544i	0.476328	+	0.879268i	$0.341968\pi$
$198$	0.0440184	+	0.135475i	0.00312825	+	0.00962776i
$199$	−2.05839	+	6.33508i	−0.145916	+	0.449082i	−0.997128	−	0.0757399i	$-0.975868\pi$
$199$	−2.05839	+	6.33508i	−0.145916	+	0.449082i	0.851212	+	0.524822i	$0.175868\pi$
$200$	0.500994	+	0.363993i	0.0354256	+	0.0257382i
$201$	−5.03536	+	15.4973i	−0.355167	+	1.09309i
$202$	−0.0376653	+	0.115922i	−0.00265012	+	0.00815624i
$203$	24.7114	+	17.9539i	1.73440	+	1.26011i
$204$	−1.43335	+	4.41140i	−0.100355	+	0.308860i
$205$	−7.17219	−	22.0737i	−0.500928	−	1.54170i
$206$	−0.289074	+	0.210024i	−0.0201407	+	0.0146331i
$207$	5.76714	+	17.7494i	0.400844	+	1.23367i
$208$	8.43794	+	6.13052i	0.585066	+	0.425075i
$209$	15.0058	+	10.9023i	1.03797	+	0.754130i
$210$	0.722646	−	0.525033i	0.0498673	−	0.0362307i
$211$	−8.12985			−0.559682			−0.279841	−	0.960046i	$-0.590282\pi$
$211$	−8.12985			−0.559682			−0.279841	+	0.960046i	$0.590282\pi$
$212$	−5.66213			−0.388877
$213$	−25.5377	+	18.5542i	−1.74982	+	1.27132i
$214$	0.0354576	−	0.109127i	0.00242383	−	0.00745978i
$215$	−5.59372	−	17.2157i	−0.381488	−	1.17410i
$216$	0.127822			0.00869717
$217$	−27.5430	−	4.08272i	−1.86974	−	0.277153i
$218$	0.236543			0.0160207
$219$	−4.52555	−	13.9282i	−0.305808	−	0.941180i
$220$	5.73722	−	17.6573i	0.386803	−	1.19046i
$221$	2.11105	−	1.53377i	0.142005	−	0.103173i
$222$	−0.140817			−0.00945104
$223$	−12.2404			−0.819677			−0.409838	−	0.912158i	$-0.634415\pi$
$223$	−12.2404			−0.819677			−0.409838	+	0.912158i	$0.634415\pi$
$224$	−1.08091	+	0.785330i	−0.0722216	+	0.0524720i
$225$	−13.3941	−	9.73140i	−0.892942	−	0.648760i
$226$	−0.207605	−	0.150834i	−0.0138097	−	0.0100333i
$227$	0.786072	+	2.41928i	0.0521734	+	0.160573i	0.973748	−	0.227627i	$-0.0730968\pi$
$227$	0.786072	+	2.41928i	0.0521734	+	0.160573i	−0.921575	+	0.388201i	$0.873097\pi$
$228$	−25.9153	+	18.8285i	−1.71628	+	1.24695i
$229$	−3.77100	−	11.6060i	−0.249195	−	0.766943i	−0.994918	−	0.100687i	$-0.967896\pi$
$229$	−3.77100	−	11.6060i	−0.249195	−	0.766943i	0.745723	−	0.666256i	$-0.232104\pi$
$230$	−0.186465	+	0.573879i	−0.0122951	+	0.0378404i
$231$	−25.2074	−	18.3143i	−1.65853	−	1.20499i
$232$	0.168121	−	0.517424i	0.0110377	−	0.0339706i
$233$	1.33508	−	4.10896i	0.0874642	−	0.269187i	−0.897752	−	0.440500i	$-0.854801\pi$
$233$	1.33508	−	4.10896i	0.0874642	−	0.269187i	0.985217	+	0.171313i	$0.0548010\pi$
$234$	0.111964	+	0.0813466i	0.00731931	+	0.00531779i
$235$	−0.134568	+	0.414159i	−0.00877827	+	0.0270167i
$236$	2.54843	+	7.84326i	0.165889	+	0.510553i
$237$	4.40270	−	3.19875i	0.285986	−	0.207781i
$238$	0.0344174	+	0.105926i	0.00223095	+	0.00686615i
$239$	8.18769	+	5.94870i	0.529617	+	0.384790i	0.820215	−	0.572056i	$-0.193854\pi$
$239$	8.18769	+	5.94870i	0.529617	+	0.384790i	−0.290597	+	0.956845i	$0.593854\pi$
$240$	25.9338	+	18.8420i	1.67402	+	1.21625i
$241$	2.87760	−	2.09070i	0.185362	−	0.134674i	−0.491234	−	0.871027i	$-0.663454\pi$
$241$	2.87760	−	2.09070i	0.185362	−	0.134674i	0.676597	+	0.736354i	$0.263454\pi$
$242$	−0.0843305			−0.00542097
$243$	−19.9904			−1.28238
$244$	6.80541	−	4.94442i	0.435672	−	0.316534i
$245$	−19.2399	+	59.2142i	−1.22919	+	3.78306i
$246$	0.107182	+	0.329872i	0.00683366	+	0.0210318i
$247$	18.0206			1.14662
$248$	0.0824383	+	0.489044i	0.00523484	+	0.0310543i
$249$	−22.4427			−1.42225
$250$	−0.0464493	−	0.142956i	−0.00293771	−	0.00904136i
$251$	6.39677	−	19.6872i	0.403760	−	1.24265i	−0.518166	−	0.855280i	$-0.673385\pi$
$251$	6.39677	−	19.6872i	0.403760	−	1.24265i	0.921926	−	0.387366i	$-0.126615\pi$
$252$	19.2648	−	13.9967i	1.21357	−	0.881707i
$253$	21.0483			1.32330
$254$	−0.113131			−0.00709847
$255$	6.48828	−	4.71401i	0.406312	−	0.295203i
$256$	−12.9122	−	9.38125i	−0.807011	−	0.586328i
$257$	−0.520276	−	0.378002i	−0.0324539	−	0.0235791i	0.571440	−	0.820644i	$-0.306385\pi$
$257$	−0.520276	−	0.378002i	−0.0324539	−	0.0235791i	−0.603894	+	0.797065i	$0.706385\pi$
$258$	0.0835929	+	0.257273i	0.00520427	+	0.0160171i
$259$	11.0273	−	8.01183i	0.685205	−	0.497831i
$260$	−5.57405	−	17.1552i	−0.345688	−	1.06392i
$261$	−4.49474	+	13.8334i	−0.278218	+	0.856265i
$262$	0.206896	+	0.150319i	0.0127821	+	0.00928674i
$263$	−1.28747	+	3.96244i	−0.0793890	+	0.244334i	−0.982872	−	0.184290i	$-0.941002\pi$
$263$	−1.28747	+	3.96244i	−0.0793890	+	0.244334i	0.903483	+	0.428624i	$0.141002\pi$
$264$	−0.171496	+	0.527811i	−0.0105549	+	0.0324845i
$265$	7.92026	+	5.75440i	0.486538	+	0.353490i
$266$	−0.237687	+	0.731526i	−0.0145735	+	0.0448528i
$267$	5.61707	+	17.2876i	0.343759	+	1.05798i
$268$	−11.3627	+	8.25547i	−0.694086	+	0.504283i
$269$	−1.68513	−	5.18629i	−0.102744	−	0.316214i	0.886450	−	0.462824i	$-0.153164\pi$
$269$	−1.68513	−	5.18629i	−0.102744	−	0.316214i	−0.989194	+	0.146610i	$0.953164\pi$
$270$	−0.0893883	−	0.0649444i	−0.00544000	−	0.00395239i
$271$	−6.84736	−	4.97490i	−0.415947	−	0.302204i	0.360058	−	0.932930i	$-0.382757\pi$
$271$	−6.84736	−	4.97490i	−0.415947	−	0.302204i	−0.776005	+	0.630727i	$0.782757\pi$
$272$	−3.23366	+	2.34939i	−0.196069	+	0.142453i
$273$	−30.2719			−1.83214
$274$	0.353302			0.0213438
$275$	−15.1061	+	10.9753i	−0.910935	+	0.661833i
$276$	−11.2330	+	34.5717i	−0.676149	+	2.08097i
$277$	8.60713	+	26.4900i	0.517152	+	1.59163i	0.779331	+	0.626612i	$0.215559\pi$
$277$	8.60713	+	26.4900i	0.517152	+	1.59163i	−0.262179	+	0.965019i	$0.584441\pi$
$278$	0.271948			0.0163104
$279$	−2.20400	−	13.0746i	−0.131950	−	0.782759i
$280$	1.54002			0.0920337
$281$	−1.56794	−	4.82562i	−0.0935355	−	0.287873i	0.893334	−	0.449394i	$-0.148360\pi$
$281$	−1.56794	−	4.82562i	−0.0935355	−	0.287873i	−0.986869	+	0.161521i	$0.948360\pi$
$282$	0.00201100	−	0.00618922i	0.000119753	−	0.000368563i
$283$	−11.2566	+	8.17837i	−0.669133	+	0.486153i	−0.869735	−	0.493519i	$-0.835710\pi$
$283$	−11.2566	+	8.17837i	−0.669133	+	0.486153i	0.200602	+	0.979673i	$0.435710\pi$
$284$	−27.2081			−1.61451
$285$	55.3860			3.28078
$286$	0.126275	−	0.0917442i	0.00746680	−	0.00542495i
$287$	−27.1615	−	19.7340i	−1.60329	−	1.16486i
$288$	−0.514724	−	0.373969i	−0.0303304	−	0.0220363i
$289$	0.309017	+	0.951057i	0.0181775	+	0.0559445i
$290$	−0.380466	+	0.276425i	−0.0223417	+	0.0162322i
$291$	1.74266	+	5.36334i	0.102156	+	0.314405i
$292$	3.90072	−	12.0052i	0.228273	−	0.702551i
$293$	15.9317	+	11.5751i	0.930742	+	0.676223i	0.946174	−	0.323657i	$-0.104913\pi$
$293$	15.9317	+	11.5751i	0.930742	+	0.676223i	−0.0154326	+	0.999881i	$0.504913\pi$
$294$	0.287522	−	0.884902i	0.0167686	−	0.0516085i
$295$	4.40630	−	13.5612i	0.256545	−	0.789564i
$296$	−0.196414	−	0.142703i	−0.0114163	−	0.00829444i
$297$	−1.19099	+	3.66549i	−0.0691083	+	0.212694i
$298$	−0.0436930	−	0.134473i	−0.00253107	−	0.00778982i
$299$	16.5441	−	12.0200i	0.956771	−	0.695135i
$300$	−9.96496	−	30.6690i	−0.575327	−	1.77068i
$301$	−21.1837	−	15.3909i	−1.22101	−	0.887114i
$302$	−0.217794	−	0.158236i	−0.0125326	−	0.00910547i
$303$	10.2712	−	7.46243i	0.590062	−	0.428705i
$304$	−27.6035			−1.58317
$305$	−14.5445			−0.832815
$306$	−0.0429078	+	0.0311744i	−0.00245288	+	0.00178212i
$307$	9.52421	−	29.3125i	0.543576	−	1.67295i	−0.180777	−	0.983524i	$-0.557861\pi$
$307$	9.52421	−	29.3125i	0.543576	−	1.67295i	0.724353	−	0.689429i	$-0.242139\pi$
$308$	−8.29904	−	25.5418i	−0.472881	−	1.45538i
$309$	37.2180			2.11726
$310$	0.190825	−	0.383884i	0.0108382	−	0.0218031i
$311$	−6.02549			−0.341674			−0.170837	−	0.985299i	$-0.554647\pi$
$311$	−6.02549			−0.341674			−0.170837	+	0.985299i	$0.554647\pi$
$312$	0.166619	+	0.512799i	0.00943292	+	0.0290316i
$313$	7.60597	−	23.4088i	0.429915	−	1.32314i	−0.468294	−	0.883573i	$-0.655131\pi$
$313$	7.60597	−	23.4088i	0.429915	−	1.32314i	0.898209	−	0.439569i	$-0.144869\pi$
$314$	0.0433263	−	0.0314784i	0.00244505	−	0.00177643i
$315$	−41.1726			−2.31981
$316$	4.69068			0.263871
$317$	10.4729	−	7.60904i	0.588219	−	0.427366i	−0.253459	−	0.967346i	$-0.581568\pi$
$317$	10.4729	−	7.60904i	0.588219	−	0.427366i	0.841678	+	0.539980i	$0.181568\pi$
$318$	−0.118361	−	0.0859943i	−0.00663735	−	0.00482232i
$319$	13.2715	+	9.64229i	0.743060	+	0.539865i
$320$	8.53395	+	26.2648i	0.477062	+	1.46825i
$321$	−9.66912	+	7.02503i	−0.539678	+	0.392099i
$322$	0.269726	+	0.830130i	0.0150312	+	0.0462614i
$323$	−2.13408	+	6.56802i	−0.118743	+	0.365454i
$324$	−16.9417	−	12.3088i	−0.941204	−	0.683825i
$325$	−5.60593	+	17.2533i	−0.310961	+	0.957039i
$326$	0.107985	−	0.332344i	0.00598073	−	0.0184068i
$327$	−19.9329	−	14.4821i	−1.10229	−	0.800862i
$328$	−0.184790	+	0.568726i	−0.0102033	+	0.0314026i
$329$	0.194656	+	0.599091i	0.0107318	+	0.0330290i
$330$	0.388104	−	0.281974i	0.0213644	−	0.0155222i
$331$	0.216699	+	0.666931i	0.0119109	+	0.0366579i	0.956835	−	0.290631i	$-0.0938651\pi$
$331$	0.216699	+	0.666931i	0.0119109	+	0.0366579i	−0.944924	+	0.327289i	$0.893865\pi$
$332$	−15.6497	−	11.3702i	−0.858890	−	0.624020i
$333$	5.25114	+	3.81518i	0.287761	+	0.209070i
$334$	−0.0162398	+	0.0117989i	−0.000888601	+	0.000645606i
$335$	24.2843			1.32679
$336$	46.3698			2.52968
$337$	−22.1117	+	16.0651i	−1.20450	+	0.875123i	−0.994720	−	0.102625i	$-0.967276\pi$
$337$	−22.1117	+	16.0651i	−1.20450	+	0.875123i	−0.209783	+	0.977748i	$0.567276\pi$
$338$	−0.0426077	+	0.131133i	−0.00231755	+	0.00713270i
$339$	8.25972	+	25.4208i	0.448606	+	1.38067i
$340$	6.91268			0.374893
$341$	−14.7922	−	2.19266i	−0.801045	−	0.118739i
$342$	−0.366275			−0.0198059
$343$	17.0134	+	52.3618i	0.918636	+	2.82727i
$344$	−0.144121	+	0.443559i	−0.00777049	+	0.0239151i
$345$	50.8480	−	36.9432i	2.73757	−	1.98896i
$346$	−0.558519			−0.0300262
$347$	32.1494			1.72587			0.862934	−	0.505316i	$-0.168624\pi$
$347$	32.1494			1.72587			0.862934	+	0.505316i	$0.168624\pi$
$348$	−22.9201	+	16.6524i	−1.22865	+	0.892664i
$349$	−6.42170	−	4.66564i	−0.343746	−	0.249746i	0.402495	−	0.915422i	$-0.368143\pi$
$349$	−6.42170	−	4.66564i	−0.343746	−	0.249746i	−0.746241	+	0.665676i	$0.768143\pi$
$350$	−0.626436	−	0.455132i	−0.0334844	−	0.0243278i
$351$	1.15712	+	3.56124i	0.0617624	+	0.190085i
$352$	−0.580515	+	0.421769i	−0.0309415	+	0.0224803i
$353$	7.89024	+	24.2837i	0.419955	+	1.29249i	0.907743	+	0.419527i	$0.137804\pi$
$353$	7.89024	+	24.2837i	0.419955	+	1.29249i	−0.487787	+	0.872962i	$0.662196\pi$
$354$	−0.0658481	+	0.202660i	−0.00349979	+	0.0107712i
$355$	38.0591	+	27.6516i	2.01997	+	1.46759i
$356$	−4.84155	+	14.9007i	−0.256601	+	0.789738i
$357$	3.58493	−	11.0333i	0.189735	−	0.583943i
$358$	−0.0640215	−	0.0465144i	−0.00338364	−	0.00245836i
$359$	7.86503	−	24.2061i	0.415100	−	1.27755i	−0.497061	−	0.867716i	$-0.665587\pi$
$359$	7.86503	−	24.2061i	0.415100	−	1.27755i	0.912161	−	0.409832i	$-0.134413\pi$
$360$	0.226617	+	0.697454i	0.0119437	+	0.0367590i
$361$	−23.2132	+	16.8654i	−1.22175	+	0.887653i
$362$	0.136671	+	0.420629i	0.00718325	+	0.0221078i
$363$	7.10632	+	5.16304i	0.372985	+	0.270989i
$364$	−21.1092	−	15.3367i	−1.10642	−	0.803864i
$365$	−17.6572	+	12.8287i	−0.924221	+	0.671486i
$366$	0.217354			0.0113613
$367$	4.34260			0.226682			0.113341	−	0.993556i	$-0.463845\pi$
$367$	4.34260			0.226682			0.113341	+	0.993556i	$0.463845\pi$
$368$	−25.3419	+	18.4119i	−1.32104	+	0.959789i
$369$	4.94039	−	15.2050i	0.257186	−	0.791538i
$370$	0.0648507	+	0.199590i	0.00337143	+	0.0103762i
$371$	14.1615			0.735226
$372$	11.4957	−	23.1260i	0.596026	−	1.19903i
$373$	−12.7806			−0.661754			−0.330877	−	0.943674i	$-0.607344\pi$
$373$	−12.7806			−0.661754			−0.330877	+	0.943674i	$0.607344\pi$
$374$	0.0184842	+	0.0568885i	0.000955795	+	0.00294163i
$375$	−4.83818	+	14.8904i	−0.249843	+	0.768936i
$376$	0.00907706	−	0.00659487i	0.000468114	−	0.000340105i
$377$	15.9379			0.820843
$378$	−0.159827			−0.00822059
$379$	−7.40212	+	5.37796i	−0.380222	+	0.276247i	−0.761437	−	0.648239i	$-0.775506\pi$
$379$	−7.40212	+	5.37796i	−0.380222	+	0.276247i	0.381215	+	0.924486i	$0.375506\pi$
$380$	38.6218	+	28.0604i	1.98125	+	1.43947i
$381$	9.53327	+	6.92632i	0.488404	+	0.354846i
$382$	−0.0795814	−	0.244926i	−0.00407174	−	0.0125315i
$383$	−23.4868	+	17.0641i	−1.20012	+	0.871936i	−0.994296	−	0.106654i	$-0.965986\pi$
$383$	−23.4868	+	17.0641i	−1.20012	+	0.871936i	−0.205821	+	0.978590i	$0.565986\pi$
$384$	−0.510571	−	1.57138i	−0.0260550	−	0.0801890i
$385$	−14.3493	+	44.1625i	−0.731306	+	2.25073i
$386$	0.285065	+	0.207112i	0.0145094	+	0.0105417i
$387$	3.85309	−	11.8586i	0.195864	−	0.602807i
$388$	−1.50206	+	4.62285i	−0.0762553	+	0.234690i
$389$	−2.96760	−	2.15609i	−0.150463	−	0.109318i	0.510007	−	0.860170i	$-0.329643\pi$
$389$	−2.96760	−	2.15609i	−0.150463	−	0.109318i	−0.660470	+	0.750853i	$0.729643\pi$
$390$	0.144026	−	0.443267i	0.00729305	−	0.0224457i
$391$	2.42174	+	7.45333i	0.122472	+	0.376931i
$392$	1.29779	−	0.942900i	0.0655483	−	0.0476237i
$393$	−8.23152	−	25.3340i	−0.415225	−	1.27793i
$394$	−0.0664922	−	0.0483094i	−0.00334983	−	0.00243379i
$395$	−6.56138	−	4.76712i	−0.330139	−	0.239860i
$396$	10.3463	−	7.51704i	0.519922	−	0.377746i
$397$	−25.3708			−1.27332			−0.636661	−	0.771144i	$-0.719685\pi$
$397$	−25.3708			−1.27332			−0.636661	+	0.771144i	$0.719685\pi$
$398$	−0.148351			−0.00743618
$399$	64.8162	−	47.0918i	3.24487	−	2.35754i
$400$	8.58702	−	26.4281i	0.429351	−	1.32141i
$401$	1.72478	+	5.30832i	0.0861313	+	0.265085i	0.984841	−	0.173459i	$-0.0554944\pi$
$401$	1.72478	+	5.30832i	0.0861313	+	0.265085i	−0.898710	+	0.438544i	$0.855494\pi$
$402$	−0.362906			−0.0181001
$403$	−12.8790	+	6.72393i	−0.641547	+	0.334943i
$404$	10.9430			0.544434
$405$	11.1888	+	34.4355i	0.555975	+	1.71112i
$406$	−0.210217	+	0.646980i	−0.0104329	+	0.0321091i
$407$	5.92234	−	4.30283i	0.293559	−	0.213283i
$408$	−0.206633			−0.0102299
$409$	−9.41315			−0.465450			−0.232725	−	0.972543i	$-0.574764\pi$
$409$	−9.41315			−0.465450			−0.232725	+	0.972543i	$0.574764\pi$
$410$	0.418189	−	0.303832i	0.0206529	−	0.0150052i
$411$	−29.7719	−	21.6305i	−1.46854	−	1.06696i
$412$	25.9529	+	18.8559i	1.27861	+	0.928962i
$413$	−6.37383	−	19.6166i	−0.313636	−	0.965271i
$414$	−0.336264	+	0.244310i	−0.0165265	+	0.0120072i
$415$	10.3355	+	31.8095i	0.507352	+	1.56147i
$416$	−0.215431	+	0.663027i	−0.0105624	+	0.0325076i
$417$	−22.9164	−	16.6498i	−1.12222	−	0.815342i
$418$	−0.127652	+	0.392873i	−0.00624367	+	0.0192161i
$419$	−1.44876	+	4.45881i	−0.0707764	+	0.217827i	−0.980188	−	0.198070i	$-0.936533\pi$
$419$	−1.44876	+	4.45881i	−0.0707764	+	0.217827i	0.909411	+	0.415898i	$0.136533\pi$
$420$	−64.8787	−	47.1372i	−3.16576	−	2.30006i
$421$	11.3144	−	34.8222i	0.551431	−	1.69713i	−0.153755	−	0.988109i	$-0.549137\pi$
$421$	11.3144	−	34.8222i	0.551431	−	1.69713i	0.705186	−	0.709022i	$-0.250863\pi$
$422$	−0.0559513	−	0.172201i	−0.00272367	−	0.00838259i
$423$	−0.242676	+	0.176315i	−0.0117993	+	0.00857271i
$424$	−0.0779456	−	0.239892i	−0.00378537	−	0.0116502i
$425$	−5.62446	−	4.08641i	−0.272826	−	0.198220i
$426$	−0.568758	−	0.413227i	−0.0275564	−	0.0200209i
$427$	−17.0209	+	12.3664i	−0.823699	+	0.598452i
$428$	−10.3016			−0.497945
$429$	−16.2578			−0.784935
$430$	0.326153	−	0.236964i	0.0157285	−	0.0114274i
$431$	10.4214	−	32.0737i	0.501980	−	1.54493i	−0.303810	−	0.952733i	$-0.598259\pi$
$431$	10.4214	−	32.0737i	0.501980	−	1.54493i	0.805789	−	0.592202i	$-0.201741\pi$
$432$	−1.77244	−	5.45502i	−0.0852768	−	0.262455i
$433$	−20.5212			−0.986185			−0.493092	−	0.869977i	$-0.664134\pi$
$433$	−20.5212			−0.986185			−0.493092	+	0.869977i	$0.664134\pi$
$434$	−0.103080	−	0.611494i	−0.00494798	−	0.0293526i
$435$	48.9848			2.34864
$436$	−6.56250	−	20.1973i	−0.314287	−	0.967276i
$437$	−16.7246	+	51.4729i	−0.800044	+	2.46228i
$438$	0.263871	−	0.191713i	0.0126082	−	0.00916042i
$439$	2.69098			0.128434			0.0642168	−	0.997936i	$-0.479545\pi$
$439$	2.69098			0.128434			0.0642168	+	0.997936i	$0.479545\pi$
$440$	0.827082			0.0394296
$441$	−34.6966	+	25.2085i	−1.65222	+	1.20041i
$442$	0.0470159	+	0.0341591i	0.00223632	+	0.00162478i
$443$	−7.03781	−	5.11327i	−0.334376	−	0.242939i	0.407909	−	0.913023i	$-0.366258\pi$
$443$	−7.03781	−	5.11327i	−0.334376	−	0.242939i	−0.742285	+	0.670084i	$0.766258\pi$
$444$	3.90675	+	12.0237i	0.185406	+	0.570621i
$445$	21.9160	−	15.9229i	1.03892	−	0.754818i
$446$	−0.0842409	−	0.259267i	−0.00398892	−	0.0122766i
$447$	−4.55107	+	14.0068i	−0.215258	+	0.662497i
$448$	32.3185	+	23.4808i	1.52691	+	1.10936i
$449$	0.827907	−	2.54804i	0.0390713	−	0.120249i	−0.929618	−	0.368523i	$-0.879863\pi$
$449$	0.827907	−	2.54804i	0.0390713	−	0.120249i	0.968690	+	0.248274i	$0.0798634\pi$
$450$	0.113942	−	0.350678i	0.00537128	−	0.0165311i
$451$	−14.5873	−	10.5983i	−0.686890	−	0.499055i
$452$	−7.11934	+	21.9111i	−0.334865	+	1.03061i
$453$	8.66507	+	26.6684i	0.407121	+	1.25299i
$454$	−0.0458335	+	0.0333000i	−0.00215107	+	0.00156285i
$455$	13.9412	+	42.9065i	0.653571	+	2.01149i
$456$	−1.15448	−	0.838776i	−0.0540633	−	0.0392793i
$457$	23.0528	+	16.7489i	1.07837	+	0.783478i	0.977397	−	0.211411i	$-0.0678060\pi$
$457$	23.0528	+	16.7489i	1.07837	+	0.783478i	0.100968	+	0.994890i	$0.467806\pi$
$458$	0.219876	−	0.159749i	0.0102741	−	0.00746459i
$459$	−1.43501			−0.0669803
$460$	54.1740			2.52587
$461$	23.0182	−	16.7237i	1.07207	−	0.778901i	0.0957830	−	0.995402i	$-0.469465\pi$
$461$	23.0182	−	16.7237i	1.07207	−	0.778901i	0.976282	+	0.216501i	$0.0694645\pi$
$462$	0.214436	−	0.659968i	0.00997649	−	0.0307045i
$463$	−12.1002	−	37.2406i	−0.562344	−	1.73072i	−0.675713	−	0.737165i	$-0.736164\pi$
$463$	−12.1002	−	37.2406i	−0.562344	−	1.73072i	0.113368	−	0.993553i	$-0.463836\pi$
$464$	−24.4133			−1.13336
$465$	−39.5833	+	20.6658i	−1.83563	+	0.958356i
$466$	0.0962213			0.00445737
$467$	−1.01313	−	3.11809i	−0.0468820	−	0.144288i	0.924875	−	0.380271i	$-0.124169\pi$
$467$	−1.01313	−	3.11809i	−0.0468820	−	0.144288i	−0.971757	+	0.235983i	$0.924169\pi$
$468$	3.83955	−	11.8169i	0.177483	−	0.546237i
$469$	28.4190	−	20.6476i	1.31227	−	0.953418i
$470$	−0.00969853			−0.000447360
$471$	−5.57824			−0.257032
$472$	−0.297219	+	0.215942i	−0.0136806	+	0.00993956i
$473$	−11.3769	−	8.26581i	−0.523111	−	0.380062i
$474$	0.0980538	+	0.0712402i	0.00450376	+	0.00327217i
$475$	−14.8366	−	45.6623i	−0.680749	−	2.09513i
$476$	8.08966	−	5.87748i	0.370789	−	0.269394i
$477$	2.08388	+	6.41353i	0.0954144	+	0.293655i
$478$	−0.0696516	+	0.214366i	−0.00318579	+	0.00980486i
$479$	−25.7383	−	18.7000i	−1.17601	−	0.854425i	−0.184298	−	0.982870i	$-0.559001\pi$
$479$	−25.7383	−	18.7000i	−1.17601	−	0.854425i	−0.991717	+	0.128446i	$0.959001\pi$
$480$	−0.662121	+	2.03780i	−0.0302216	+	0.0930124i
$481$	2.19779	−	6.76411i	0.100211	−	0.308417i
$482$	0.0640878	+	0.0465625i	0.00291912	+	0.00212086i
$483$	28.0947	−	86.4667i	1.27835	−	3.93437i
$484$	2.33961	+	7.20059i	0.106346	+	0.327299i
$485$	6.79928	−	4.93997i	0.308740	−	0.224312i
$486$	−0.137578	−	0.423422i	−0.00624066	−	0.0192068i
$487$	−7.48068	−	5.43504i	−0.338982	−	0.246285i	0.405250	−	0.914206i	$-0.367184\pi$
$487$	−7.48068	−	5.43504i	−0.338982	−	0.246285i	−0.744232	+	0.667921i	$0.767184\pi$
$488$	0.303168	+	0.220265i	0.0137238	+	0.00997091i
$489$	−29.4470	+	21.3945i	−1.33164	+	0.967493i
$490$	−1.38664			−0.0626422
$491$	−16.1081			−0.726948			−0.363474	−	0.931604i	$-0.618409\pi$
$491$	−16.1081			−0.726948			−0.363474	+	0.931604i	$0.618409\pi$
$492$	25.1926	−	18.3035i	1.13577	−	0.825186i
$493$	−1.88743	+	5.80892i	−0.0850056	+	0.261620i
$494$	0.124022	+	0.381699i	0.00558000	+	0.0171735i
$495$	−22.1121			−0.993866
$496$	19.7277	−	10.2995i	0.885799	−	0.462463i
$497$	68.0498			3.05245
$498$	−0.154455	−	0.475364i	−0.00692130	−	0.0213016i
$499$	4.77075	−	14.6829i	0.213568	−	0.657295i	−0.785684	−	0.618628i	$-0.787689\pi$
$499$	4.77075	−	14.6829i	0.213568	−	0.657295i	0.999252	−	0.0386670i	$-0.0123111\pi$
$500$	−10.9177	+	7.93218i	−0.488255	+	0.354738i
$501$	2.09086			0.0934127
$502$	0.461024			0.0205765
$503$	31.5748	−	22.9404i	1.40785	−	1.02286i	0.414219	−	0.910177i	$-0.364055\pi$
$503$	31.5748	−	22.9404i	1.40785	−	1.02286i	0.993631	−	0.112686i	$-0.0359453\pi$
$504$	0.858209	+	0.623525i	0.0382277	+	0.0277740i
$505$	−15.3072	−	11.1213i	−0.681161	−	0.494893i
$506$	0.144859	+	0.445829i	0.00643976	+	0.0198195i
$507$	11.6189	−	8.44164i	0.516015	−	0.374907i
$508$	3.13864	+	9.65973i	0.139254	+	0.428581i
$509$	1.17614	−	3.61979i	0.0521316	−	0.160444i	−0.921601	−	0.388138i	$-0.873118\pi$
$509$	1.17614	−	3.61979i	0.0521316	−	0.160444i	0.973733	+	0.227693i	$0.0731184\pi$
$510$	0.144502	+	0.104987i	0.00639867	+	0.00464891i
$511$	−9.75603	+	30.0260i	−0.431582	+	1.32827i
$512$	0.550031	−	1.69282i	0.0243081	−	0.0748128i
$513$	−8.01750	−	5.82506i	−0.353981	−	0.257183i
$514$	0.00442592	−	0.0136216i	0.000195219	−	0.000600822i
$515$	−17.1401	−	52.7517i	−0.755281	−	2.32452i
$516$	19.6481	−	14.2752i	0.864961	−	0.628431i
$517$	0.104542	+	0.321748i	0.00459776	+	0.0141504i
$518$	0.245593	+	0.178434i	0.0107907	+	0.00783993i
$519$	47.0650	+	34.1947i	2.06592	+	1.50098i
$520$	0.650093	−	0.472320i	0.0285084	−	0.0207126i
$521$	−27.3415			−1.19785			−0.598926	−	0.800804i	$-0.704406\pi$
$521$	−27.3415			−1.19785			−0.598926	+	0.800804i	$0.704406\pi$
$522$	−0.323942			−0.0141786
$523$	12.4644	−	9.05589i	0.545029	−	0.395987i	−0.280920	−	0.959731i	$-0.590640\pi$
$523$	12.4644	−	9.05589i	0.545029	−	0.395987i	0.825949	+	0.563744i	$0.190640\pi$
$524$	7.09503	−	21.8363i	0.309948	−	0.953921i
$525$	24.9232	+	76.7057i	1.08774	+	3.34771i
$526$	−0.0927900			−0.00404584
$527$	−0.925502	−	5.49030i	−0.0403155	−	0.239161i
$528$	24.9033			1.08378
$529$	11.8715	+	36.5367i	0.516152	+	1.58855i
$530$	−0.0673766	+	0.207364i	−0.00292665	+	0.00900732i
$531$	7.94619	−	5.77325i	0.344835	−	0.250538i
$532$	69.0559			2.99395
$533$	−17.5181			−0.758793
$534$	−0.327514	+	0.237953i	−0.0141729	+	0.0102972i
$535$	14.4100	+	10.4695i	0.622997	+	0.452634i
$536$	−0.506186	−	0.367765i	−0.0218639	−	0.0158850i
$537$	2.54714	+	7.83930i	0.109917	+	0.338291i
$538$	0.0982547	−	0.0713862i	0.00423606	−	0.00307768i
$539$	14.9469	+	46.0018i	0.643808	+	1.98144i
$540$	−3.06537	+	9.43423i	−0.131912	+	0.405984i
$541$	−1.17554	−	0.854077i	−0.0505403	−	0.0367197i	0.562228	−	0.826982i	$-0.309944\pi$
$541$	−1.17554	−	0.854077i	−0.0505403	−	0.0367197i	−0.612769	+	0.790262i	$0.709944\pi$
$542$	0.0582496	−	0.179274i	0.00250204	−	0.00770048i
$543$	14.2357	−	43.8128i	0.610911	−	1.88019i
$544$	−0.216143	−	0.157037i	−0.00926704	−	0.00673290i
$545$	−11.3467	+	34.9217i	−0.486041	+	1.49588i
$546$	−0.208338	−	0.641197i	−0.00891603	−	0.0274407i
$547$	−25.9159	+	18.8290i	−1.10808	+	0.805070i	−0.982361	−	0.186996i	$-0.940125\pi$
$547$	−25.9159	+	18.8290i	−1.10808	+	0.805070i	−0.125723	+	0.992065i	$0.540125\pi$
$548$	−9.80179	−	30.1668i	−0.418712	−	1.28866i
$549$	−8.10523	−	5.88880i	−0.345923	−	0.251328i
$550$	−0.336433	−	0.244433i	−0.0143456	−	0.0104227i
$551$	−34.1251	+	24.7934i	−1.45378	+	1.05623i
$552$	−1.61936			−0.0689246
$553$	−11.7318			−0.498886
$554$	−0.501856	+	0.364620i	−0.0213218	+	0.0154912i
$555$	6.75487	−	20.7894i	0.286728	−	0.882459i
$556$	−7.54477	−	23.2204i	−0.319969	−	0.984765i
$557$	21.1177			0.894787			0.447394	−	0.894337i	$-0.352352\pi$
$557$	21.1177			0.894787			0.447394	+	0.894337i	$0.352352\pi$
$558$	0.261769	−	0.136666i	0.0110816	−	0.00578553i
$559$	−13.6627			−0.577869
$560$	−21.3547	−	65.7230i	−0.902401	−	2.77731i
$561$	1.92532	−	5.92553i	0.0812871	−	0.250176i
$562$	0.0914219	−	0.0664219i	0.00385640	−	0.00280184i
$563$	20.0531			0.845139			0.422570	−	0.906330i	$-0.361128\pi$
$563$	20.0531			0.845139			0.422570	+	0.906330i	$0.361128\pi$
$564$	−0.584260			−0.0246018
$565$	32.2268	−	23.4141i	1.35579	−	0.985039i
$566$	−0.250698	−	0.182143i	−0.0105376	−	0.00765603i
$567$	42.3725	+	30.7854i	1.77948	+	1.29287i
$568$	−0.374551	−	1.15275i	−0.0157158	−	0.0483682i
$569$	−21.6269	+	15.7129i	−0.906648	+	0.658718i	−0.940165	−	0.340720i	$-0.889329\pi$
$569$	−21.6269	+	15.7129i	−0.906648	+	0.658718i	0.0335170	+	0.999438i	$0.489329\pi$
$570$	0.381178	+	1.17315i	0.0159658	+	0.0491376i
$571$	9.22478	−	28.3909i	0.386045	−	1.18812i	−0.549675	−	0.835379i	$-0.685248\pi$
$571$	9.22478	−	28.3909i	0.386045	−	1.18812i	0.935719	−	0.352745i	$-0.114752\pi$
$572$	−11.3369	−	8.23674i	−0.474020	−	0.344396i
$573$	−8.28923	+	25.5116i	−0.346287	+	1.06576i
$574$	0.231059	−	0.711127i	0.00964423	−	0.0296819i
$575$	−44.0783	−	32.0248i	−1.83819	−	1.33553i
$576$	−5.87840	+	18.0919i	−0.244933	+	0.753827i
$577$	−0.816069	−	2.51160i	−0.0339734	−	0.104559i	0.932632	−	0.360829i	$-0.117506\pi$
$577$	−0.816069	−	2.51160i	−0.0339734	−	0.104559i	−0.966605	+	0.256270i	$0.917506\pi$
$578$	−0.0180179	+	0.0130907i	−0.000749444	+	0.000544503i
$579$	−11.3415	−	34.9056i	−0.471337	−	1.45063i
$580$	34.1580	+	24.8173i	1.41834	+	1.03048i
$581$	39.1413	+	28.4378i	1.62385	+	1.17980i
$582$	−0.101609	+	0.0738233i	−0.00421183	+	0.00306007i
$583$	7.60554			0.314989
$584$	0.562331			0.0232694
$585$	−17.3803	+	12.6275i	−0.718587	+	0.522084i
$586$	−0.135529	+	0.417116i	−0.00559866	+	0.0172309i
$587$	2.41744	+	7.44010i	0.0997783	+	0.307086i	0.988469	−	0.151420i	$-0.0483847\pi$
$587$	2.41744	+	7.44010i	0.0997783	+	0.307086i	−0.888691	+	0.458506i	$0.848385\pi$
$588$	−83.5345			−3.44490
$589$	17.1157	−	34.4317i	0.705240	−	1.41873i
$590$	0.317569			0.0130741
$591$	2.64544	+	8.14183i	0.108819	+	0.334910i
$592$	−3.36652	+	10.3611i	−0.138363	+	0.425839i
$593$	−22.2070	+	16.1343i	−0.911932	+	0.662557i	−0.941503	−	0.337005i	$-0.890586\pi$
$593$	−22.2070	+	16.1343i	−0.911932	+	0.662557i	0.0295708	+	0.999563i	$0.490586\pi$
$594$	−0.0858364			−0.00352191
$595$	−17.2892			−0.708787
$596$	−10.2698	+	7.46147i	−0.420669	+	0.305634i
$597$	12.5012	+	9.08265i	0.511640	+	0.371728i
$598$	0.368459	+	0.267701i	0.0150674	+	0.0109471i
$599$	−2.13425	−	6.56854i	−0.0872031	−	0.268383i	0.897940	−	0.440117i	$-0.145063\pi$
$599$	−2.13425	−	6.56854i	−0.0872031	−	0.268383i	−0.985143	+	0.171734i	$0.945063\pi$
$600$	1.16220	−	0.844387i	0.0474465	−	0.0344719i
$601$	1.36243	+	4.19314i	0.0555749	+	0.171042i	0.974991	−	0.222244i	$-0.0713382\pi$
$601$	1.36243	+	4.19314i	0.0555749	+	0.171042i	−0.919416	+	0.393286i	$0.871338\pi$
$602$	0.180207	−	0.554620i	0.00734469	−	0.0226046i
$603$	13.5329	+	9.83225i	0.551104	+	0.400400i
$604$	−7.46873	+	22.9864i	−0.303898	+	0.935303i
$605$	4.04525	−	12.4500i	0.164463	−	0.506165i
$606$	0.228752	+	0.166198i	0.00929241	+	0.00675133i
$607$	10.5312	−	32.4118i	0.427449	−	1.31555i	−0.473180	−	0.880966i	$-0.656894\pi$
$607$	10.5312	−	32.4118i	0.427449	−	1.31555i	0.900630	−	0.434588i	$-0.143106\pi$
$608$	−0.570156	−	1.75476i	−0.0231229	−	0.0711648i
$609$	57.3251	−	41.6491i	2.32293	−	1.68771i
$610$	−0.100098	−	0.308071i	−0.00405286	−	0.0124734i
$611$	0.265911	+	0.193195i	0.0107576	+	0.00781585i
$612$	3.85224	+	2.79882i	0.155718	+	0.113135i
$613$	22.5158	−	16.3587i	0.909405	−	0.660721i	−0.0314596	−	0.999505i	$-0.510016\pi$
$613$	22.5158	−	16.3587i	0.909405	−	0.660721i	0.940864	+	0.338784i	$0.110016\pi$
$614$	0.686423			0.0277018
$615$	−53.8415			−2.17110
$616$	0.967904	−	0.703223i	0.0389980	−	0.0283337i
$617$	−1.41463	+	4.35379i	−0.0569510	+	0.175277i	−0.975486	−	0.220064i	$-0.929373\pi$
$617$	−1.41463	+	4.35379i	−0.0569510	+	0.175277i	0.918535	+	0.395341i	$0.129373\pi$
$618$	0.256142	+	0.788325i	0.0103036	+	0.0317111i
$619$	−7.63658			−0.306940			−0.153470	−	0.988153i	$-0.549045\pi$
$619$	−7.63658			−0.306940			−0.153470	+	0.988153i	$0.549045\pi$
$620$	−38.0722	−	5.64346i	−1.52902	−	0.226647i
$621$	−11.2460			−0.451286
$622$	−0.0414687	−	0.127628i	−0.00166274	−	0.00511740i
$623$	12.1091	−	37.2680i	0.485141	−	1.49311i
$624$	19.5742	−	14.2215i	0.783595	−	0.569315i
$625$	−11.4278			−0.457111
$626$	0.548173			0.0219094
$627$	34.8102	−	25.2911i	1.39018	−	1.01003i
$628$	−3.88981	−	2.82612i	−0.155220	−	0.112774i
$629$	2.20506	+	1.60207i	0.0879215	+	0.0638787i
$630$	−0.283358	−	0.872087i	−0.0112893	−	0.0347448i
$631$	−25.0449	+	18.1961i	−0.997020	+	0.724377i	−0.961447	−	0.274990i	$-0.911326\pi$
$631$	−25.0449	+	18.1961i	−0.997020	+	0.724377i	−0.0355726	+	0.999367i	$0.511326\pi$
$632$	0.0645724	+	0.198734i	0.00256855	+	0.00790520i
$633$	−5.82791	+	17.9365i	−0.231639	+	0.712911i
$634$	0.233246	+	0.169463i	0.00926338	+	0.00673024i
$635$	5.42679	−	16.7019i	0.215356	−	0.662796i
$636$	−4.05892	+	12.4921i	−0.160946	+	0.495342i
$637$	38.0185	+	27.6221i	1.50635	+	1.09443i
$638$	−0.112899	+	0.347467i	−0.00446971	+	0.0137563i
$639$	10.0137	+	30.8189i	0.396134	+	1.21917i
$640$	−1.99209	+	1.44733i	−0.0787441	+	0.0572109i
$641$	10.5912	+	32.5964i	0.418327	+	1.28748i	0.909241	+	0.416270i	$0.136663\pi$
$641$	10.5912	+	32.5964i	0.418327	+	1.28748i	−0.490914	+	0.871208i	$0.663337\pi$
$642$	−0.215344	−	0.156456i	−0.00849894	−	0.00617484i
$643$	−23.5893	−	17.1386i	−0.930271	−	0.675881i	0.0157883	−	0.999875i	$-0.494974\pi$
$643$	−23.5893	−	17.1386i	−0.930271	−	0.675881i	−0.946059	+	0.323994i	$0.894974\pi$
$644$	63.3978	−	46.0612i	2.49823	−	1.81507i
$645$	−41.9919			−1.65343
$646$	−0.153806			−0.00605142
$647$	−31.2430	+	22.6994i	−1.22829	+	0.892405i	−0.996761	−	0.0804235i	$-0.974373\pi$
$647$	−31.2430	+	22.6994i	−1.22829	+	0.892405i	−0.231529	+	0.972828i	$0.574373\pi$
$648$	0.288277	−	0.887226i	0.0113246	−	0.0348535i
$649$	−3.42313	−	10.5353i	−0.134369	−	0.413547i
$650$	−0.404027			−0.0158472
$651$	−28.7518	+	57.8400i	−1.12687	+	2.26693i
$652$	−31.3731			−1.22867
$653$	−0.424040	−	1.30506i	−0.0165940	−	0.0510710i	0.942417	−	0.334441i	$-0.108548\pi$
$653$	−0.424040	−	1.30506i	−0.0165940	−	0.0510710i	−0.959011	+	0.283370i	$0.908548\pi$
$654$	0.169567	−	0.521873i	0.00663058	−	0.0204068i
$655$	−32.1167	+	23.3342i	−1.25490	+	0.911742i
$656$	26.8338			1.04768
$657$	−15.0340			−0.586532
$658$	−0.0113498	+	0.00824614i	−0.000442463	+	0.000321468i
$659$	12.2747	+	8.91806i	0.478152	+	0.347398i	0.800610	−	0.599186i	$-0.204509\pi$
$659$	12.2747	+	8.91806i	0.478152	+	0.347398i	−0.322457	+	0.946584i	$0.604509\pi$
$660$	−34.8437	−	25.3155i	−1.35629	−	0.985403i
$661$	15.2533	+	46.9448i	0.593284	+	1.82594i	0.563087	+	0.826398i	$0.309614\pi$
$661$	15.2533	+	46.9448i	0.593284	+	1.82594i	0.0301972	+	0.999544i	$0.490386\pi$
$662$	−0.0126351	+	0.00917992i	−0.000491076	+	0.000356788i
$663$	−1.87056	−	5.75700i	−0.0726466	−	0.223583i
$664$	0.266294	−	0.819567i	0.0103342	−	0.0318054i
$665$	−96.5962	−	70.1813i	−3.74584	−	2.72151i
$666$	−0.0446708	+	0.137483i	−0.00173096	+	0.00532734i
$667$	−14.7916	+	45.5239i	−0.572734	+	1.76269i
$668$	1.45800	+	1.05930i	0.0564116	+	0.0409855i
$669$	−8.77456	+	27.0053i	−0.339244	+	1.04409i
$670$	0.167129	+	0.514371i	0.00645677	+	0.0198719i
$671$	−9.14123	+	6.64149i	−0.352893	+	0.256392i
$672$	0.957775	+	2.94773i	0.0369470	+	0.113711i
$673$	−2.20937	−	1.60520i	−0.0851651	−	0.0618760i	0.544388	−	0.838834i	$-0.316762\pi$
$673$	−2.20937	−	1.60520i	−0.0851651	−	0.0618760i	−0.629553	+	0.776958i	$0.716762\pi$
$674$	−0.492457	−	0.357791i	−0.0189687	−	0.0137816i
$675$	8.07113	−	5.86402i	0.310658	−	0.225706i
$676$	12.3789			0.476112
$677$	−4.53339			−0.174232			−0.0871162	−	0.996198i	$-0.527765\pi$
$677$	−4.53339			−0.174232			−0.0871162	+	0.996198i	$0.527765\pi$
$678$	−0.481599	+	0.349902i	−0.0184957	+	0.0134379i
$679$	3.75676	−	11.5621i	0.144171	−	0.443714i
$680$	0.0951608	+	0.292875i	0.00364925	+	0.0112312i
$681$	5.90103			0.226128
$682$	−0.0553599	−	0.328409i	−0.00211984	−	0.0125754i
$683$	15.9399			0.609923			0.304961	−	0.952365i	$-0.401356\pi$
$683$	15.9399			0.609923			0.304961	+	0.952365i	$0.401356\pi$
$684$	10.1617	+	31.2745i	0.388542	+	1.19581i
$685$	−16.9476	+	52.1592i	−0.647533	+	1.99290i
$686$	−0.991998	+	0.720729i	−0.0378747	+	0.0275176i
$687$	−28.3089			−1.08005
$688$	20.9281			0.797878
$689$	5.97801	−	4.34328i	0.227744	−	0.165466i
$690$	1.13245	+	0.822774i	0.0431117	+	0.0313225i
$691$	−11.1700	−	8.11548i	−0.424927	−	0.308727i	0.354690	−	0.934984i	$-0.384586\pi$
$691$	−11.1700	−	8.11548i	−0.424927	−	0.308727i	−0.779617	+	0.626257i	$0.784586\pi$
$692$	15.4952	+	47.6893i	0.589039	+	1.81288i
$693$	−25.8770	+	18.8008i	−0.982986	+	0.714181i
$694$	0.221259	+	0.680964i	0.00839886	+	0.0258490i
$695$	−13.0451	+	40.1487i	−0.494829	+	1.52293i
$696$	−1.02105	−	0.741834i	−0.0387027	−	0.0281192i
$697$	2.07457	−	6.38486i	0.0785799	−	0.241844i
$698$	0.0546286	−	0.168130i	0.00206772	−	0.00636380i
$699$	−8.10833	−	5.89105i	−0.306685	−	0.222820i
$700$	−21.4822	+	66.1153i	−0.811950	+	2.49892i
$701$	7.46917	+	22.9878i	0.282107	+	0.868235i	0.987251	+	0.159171i	$0.0508823\pi$
$701$	7.46917	+	22.9878i	0.282107	+	0.868235i	−0.705144	+	0.709064i	$0.749118\pi$
$702$	−0.0674681	+	0.0490184i	−0.00254642	+	0.00185008i
$703$	5.81665	+	17.9018i	0.219379	+	0.675180i
$704$	17.3570	+	12.6106i	0.654165	+	0.475279i
$705$	0.817271	+	0.593782i	0.0307802	+	0.0223631i
$706$	−0.460056	+	0.334251i	−0.0173145	+	0.0125797i
$707$	−27.3693			−1.02933
$708$	19.1310			0.718988
$709$	9.66625	−	7.02294i	0.363023	−	0.263752i	−0.391289	−	0.920268i	$-0.627971\pi$
$709$	9.66625	−	7.02294i	0.363023	−	0.263752i	0.754312	+	0.656516i	$0.227971\pi$
$710$	−0.323764	+	0.996443i	−0.0121506	+	0.0373958i
$711$	−1.72635	−	5.31316i	−0.0647432	−	0.199259i
$712$	−0.697961			−0.0261572
$713$	−7.25307	−	43.0270i	−0.271629	−	1.61137i
$714$	0.258371			0.00966929
$715$	7.48723	+	23.0433i	0.280006	+	0.861771i
$716$	−2.19547	+	6.75696i	−0.0820486	+	0.252520i
$717$	18.9937	−	13.7997i	0.709332	−	0.515360i
$718$	0.566844			0.0211544
$719$	−17.2434			−0.643071			−0.321535	−	0.946898i	$-0.604199\pi$
$719$	−17.2434			−0.643071			−0.321535	+	0.946898i	$0.604199\pi$
$720$	26.6227	−	19.3425i	0.992169	−	0.720853i
$721$	−64.9103	−	47.1601i	−2.41739	−	1.75633i
$722$	−0.516989	−	0.375614i	−0.0192403	−	0.0139789i
$723$	−2.54978	−	7.84741i	−0.0948273	−	0.291848i
$724$	32.1238	−	23.3393i	1.19387	−	0.867399i
$725$	−13.1218	−	40.3848i	−0.487333	−	1.49986i
$726$	−0.0604526	+	0.186054i	−0.00224361	+	0.00690511i
$727$	−9.24720	−	6.71848i	−0.342960	−	0.249175i	0.402950	−	0.915222i	$-0.367985\pi$
$727$	−9.24720	−	6.71848i	−0.342960	−	0.249175i	−0.745910	+	0.666047i	$0.767985\pi$
$728$	0.359191	−	1.10548i	0.0133125	−	0.0409717i
$729$	−4.62105	+	14.2221i	−0.171150	+	0.526746i
$730$	−0.393249	−	0.285712i	−0.0145548	−	0.0105747i
$731$	1.61799	−	4.97967i	0.0598436	−	0.184180i
$732$	−6.03013	−	18.5588i	−0.222880	−	0.685954i
$733$	−7.65298	+	5.56021i	−0.282669	+	0.205371i	−0.720081	−	0.693890i	$-0.755895\pi$
$733$	−7.65298	+	5.56021i	−0.282669	+	0.205371i	0.437412	+	0.899261i	$0.355895\pi$
$734$	0.0298866	+	0.0919816i	0.00110314	+	0.00339510i
$735$	116.849	+	84.8958i	4.31004	+	3.13143i
$736$	−1.69389	−	1.23068i	−0.0624376	−	0.0453636i
$737$	15.2627	−	11.0890i	0.562208	−	0.408468i
$738$	0.356061			0.0131068
$739$	−28.0956			−1.03351			−0.516756	−	0.856133i	$-0.672861\pi$
$739$	−28.0956			−1.03351			−0.516756	+	0.856133i	$0.672861\pi$
$740$	15.2429	−	11.0746i	0.560339	−	0.407110i
$741$	12.9181	−	39.7580i	0.474560	−	1.46054i
$742$	0.0974620	+	0.299957i	0.00357794	+	0.0110118i
$743$	−10.4137			−0.382041			−0.191020	−	0.981586i	$-0.561180\pi$
$743$	−10.4137			−0.382041			−0.191020	+	0.981586i	$0.561180\pi$
$744$	1.13805	+	0.168694i	0.0417229	+	0.00618461i
$745$	21.9487			0.804136
$746$	−0.0879586	−	0.270709i	−0.00322039	−	0.00991136i
$747$	−7.11939	+	21.9112i	−0.260485	+	0.801690i
$748$	4.34463	−	3.15656i	0.158855	−	0.115415i
$749$	25.7651			0.941436
$750$	−0.348695			−0.0127325
$751$	9.85030	−	7.15666i	0.359443	−	0.261150i	−0.393377	−	0.919377i	$-0.628693\pi$
$751$	9.85030	−	7.15666i	0.359443	−	0.261150i	0.752820	+	0.658227i	$0.228693\pi$
$752$	−0.407315	−	0.295932i	−0.0148533	−	0.0107915i
$753$	−38.8493	−	28.2257i	−1.41575	−	1.02860i
$754$	0.109688	+	0.337584i	0.00399460	+	0.0122941i
$755$	33.8083	−	24.5632i	1.23041	−	0.893946i
$756$	4.43413	+	13.6468i	0.161268	+	0.496331i
$757$	11.1681	−	34.3718i	0.405911	−	1.24926i	−0.514222	−	0.857657i	$-0.671919\pi$
$757$	11.1681	−	34.3718i	0.405911	−	1.24926i	0.920133	−	0.391607i	$-0.128081\pi$
$758$	−0.164855	−	0.119774i	−0.00598780	−	0.00435039i
$759$	15.0885	−	46.4378i	0.547679	−	1.68558i
$760$	−0.657183	+	2.02260i	−0.0238385	+	0.0733674i
$761$	19.8081	+	14.3914i	0.718043	+	0.521689i	0.885758	−	0.464147i	$-0.153639\pi$
$761$	19.8081	+	14.3914i	0.718043	+	0.521689i	−0.167715	+	0.985835i	$0.553639\pi$
$762$	−0.0810983	+	0.249595i	−0.00293788	+	0.00904187i
$763$	16.4134	+	50.5151i	0.594204	+	1.82877i
$764$	−18.7053	+	13.5902i	−0.676732	+	0.491675i
$765$	−2.54413	−	7.83004i	−0.0919834	−	0.283096i
$766$	−0.523080	−	0.380040i	−0.0188997	−	0.0137314i
$767$	−8.70698	−	6.32599i	−0.314391	−	0.228418i
$768$	−29.9535	+	21.7625i	−1.08085	+	0.785286i
$769$	−2.70450			−0.0975268			−0.0487634	−	0.998810i	$-0.515528\pi$
$769$	−2.70450			−0.0975268			−0.0487634	+	0.998810i	$0.515528\pi$
$770$	−1.03417			−0.0372690
$771$	−1.20693	+	0.876885i	−0.0434665	+	0.0315802i
$772$	9.77564	−	30.0863i	0.351833	−	1.08283i
$773$	11.0223	+	33.9232i	0.396445	+	1.22013i	0.927830	+	0.373002i	$0.121672\pi$
$773$	11.0223	+	33.9232i	0.396445	+	1.22013i	−0.531385	+	0.847130i	$0.678328\pi$
$774$	0.277698			0.00998165
$775$	27.6411	+	27.0980i	0.992897	+	0.973390i
$776$	−0.216537			−0.00777324
$777$	−9.77110	−	30.0723i	−0.350536	−	1.07884i
$778$	0.0252450	−	0.0776961i	0.000905077	−	0.00278554i
$779$	37.5086	−	27.2516i	1.34389	−	0.976390i
$780$	−41.8443			−1.49827
$781$	36.5468			1.30775
$782$	−0.141204	+	0.102591i	−0.00504945	+	0.00366864i
$783$	−7.09088	−	5.15182i	−0.253407	−	0.184111i
$784$	−58.2358	−	42.3108i	−2.07985	−	1.51110i
$785$	2.56895	+	7.90641i	0.0916897	+	0.282192i
$786$	0.479955	−	0.348708i	0.0171194	−	0.0124380i
$787$	6.64363	+	20.4470i	0.236820	+	0.728856i	0.996875	+	0.0789976i	$0.0251720\pi$
$787$	6.64363	+	20.4470i	0.236820	+	0.728856i	−0.760055	+	0.649859i	$0.774828\pi$
$788$	−2.28020	+	7.01772i	−0.0812286	+	0.249996i
$789$	7.81919	+	5.68097i	0.278370	+	0.202248i
$790$	0.0558168	−	0.171787i	0.00198587	−	0.00611189i
$791$	17.8061	−	54.8014i	0.633110	−	1.94851i
$792$	0.460909	+	0.334870i	0.0163777	+	0.0118991i
$793$	−3.39233	+	10.4405i	−0.120465	+	0.370754i
$794$	−0.174607	−	0.537385i	−0.00619656	−	0.0190711i
$795$	18.3733	−	13.3490i	0.651634	−	0.473440i
$796$	4.11577	+	12.6670i	0.145879	+	0.448971i
$797$	−41.6897	−	30.2894i	−1.47673	−	1.07290i	−0.978593	−	0.205804i	$-0.934019\pi$
$797$	−41.6897	−	30.2894i	−1.47673	−	1.07290i	−0.498133	−	0.867101i	$-0.665981\pi$
$798$	1.44354	+	1.04879i	0.0511008	+	0.0371269i
$799$	−0.101905	+	0.0740380i	−0.00360513	+	0.00261928i
$800$	1.85740			0.0656691
$801$	18.6601			0.659321
$802$	−0.100567	+	0.0730659i	−0.00355113	+	0.00258005i
$803$	−5.23957	+	16.1257i	−0.184900	+	0.569065i
$804$	10.0682	+	30.9868i	0.355079	+	1.09282i
$805$	−135.494			−4.77552
$806$	−0.231057	−	0.226517i	−0.00813863	−	0.00797874i
$807$	−12.6502			−0.445309
$808$	0.150643	+	0.463630i	0.00529959	+	0.0163105i
$809$	−6.21144	+	19.1168i	−0.218383	+	0.672112i	0.780514	+	0.625139i	$0.214958\pi$
$809$	−6.21144	+	19.1168i	−0.218383	+	0.672112i	−0.998896	+	0.0469736i	$0.985042\pi$
$810$	−0.652384	+	0.473985i	−0.0229224	+	0.0166541i
$811$	−9.38216			−0.329452			−0.164726	−	0.986339i	$-0.552674\pi$
$811$	−9.38216			−0.329452			−0.164726	+	0.986339i	$0.552674\pi$
$812$	61.0747			2.14330
$813$	−15.8844	+	11.5407i	−0.557090	+	0.404750i
$814$	0.131898	+	0.0958295i	0.00462302	+	0.00335882i
$815$	43.8851	+	31.8844i	1.53723	+	1.11686i
$816$	2.86528	+	8.81842i	0.100305	+	0.308707i
$817$	29.2536	−	21.2540i	1.02345	−	0.743583i
$818$	−0.0647832	−	0.199382i	−0.00226509	−	0.00697124i
$819$	−9.60302	+	29.5551i	−0.335557	+	1.03274i
$820$	−37.5448	−	27.2779i	−1.31112	−	0.952585i
$821$	−0.243969	+	0.750859i	−0.00851458	+	0.0262052i	−0.955224	−	0.295885i	$-0.904385\pi$
$821$	−0.243969	+	0.750859i	−0.00851458	+	0.0262052i	0.946709	+	0.322090i	$0.104385\pi$
$822$	0.253266	−	0.779472i	0.00883366	−	0.0271872i
$823$	−30.6995	−	22.3045i	−1.07012	−	0.777486i	−0.0941840	−	0.995555i	$-0.530024\pi$
$823$	−30.6995	−	22.3045i	−1.07012	−	0.777486i	−0.975933	+	0.218069i	$0.930024\pi$
$824$	−0.441611	+	1.35914i	−0.0153842	+	0.0473478i
$825$	13.3852	+	41.1955i	0.466014	+	1.43424i
$826$	0.371639	−	0.270011i	0.0129310	−	0.00939490i
$827$	2.38649	+	7.34486i	0.0829864	+	0.255406i	0.983937	−	0.178516i	$-0.0571295\pi$
$827$	2.38649	+	7.34486i	0.0829864	+	0.255406i	−0.900951	+	0.433921i	$0.857130\pi$
$828$	30.1896	+	21.9340i	1.04916	+	0.762261i
$829$	22.6540	+	16.4591i	0.786807	+	0.571649i	0.907014	−	0.421100i	$-0.138356\pi$
$829$	22.6540	+	16.4591i	0.786807	+	0.571649i	−0.120207	+	0.992749i	$0.538356\pi$
$830$	−0.602635	+	0.437840i	−0.0209178	+	0.0151976i
$831$	64.6136			2.24142
$832$	20.8442			0.722643
$833$	−14.5698	+	10.5856i	−0.504813	+	0.366768i
$834$	0.194947	−	0.599986i	0.00675047	−	0.0207758i
$835$	−0.962905	−	2.96352i	−0.0333227	−	0.102557i
$836$	37.0871			1.28268
$837$	7.90341	+	1.17153i	0.273182	+	0.0404939i
$838$	−0.104414			−0.00360692
$839$	−12.0952	−	37.2251i	−0.417572	−	1.28515i	−0.909930	−	0.414761i	$-0.863865\pi$
$839$	−12.0952	−	37.2251i	−0.417572	−	1.28515i	0.492359	−	0.870392i	$-0.336135\pi$
$840$	1.10397	−	3.39766i	0.0380905	−	0.117230i
$841$	−6.71963	+	4.88210i	−0.231711	+	0.168348i
$842$	0.815446			0.0281021
$843$	−11.7705			−0.405398
$844$	−13.1511	+	9.55485i	−0.452680	+	0.328891i
$845$	−17.3158	−	12.5807i	−0.595681	−	0.432788i
$846$	−0.00540471	−	0.00392675i	−0.000185818	−	0.000135005i
$847$	−5.85156	−	18.0093i	−0.201062	−	0.618805i
$848$	−9.15697	+	6.65293i	−0.314452	+	0.228463i
$849$	9.97420	+	30.6974i	0.342314	+	1.05353i
$850$	0.0478466	−	0.147257i	0.00164112	−	0.00505086i
$851$	17.2808	+	12.5553i	0.592379	+	0.430389i
$852$	−19.5042	+	60.0279i	−0.668205	+	2.05652i
$853$	−0.211624	+	0.651310i	−0.00724585	+	0.0223004i	−0.954614	−	0.297846i	$-0.903732\pi$
$853$	−0.211624	+	0.651310i	−0.00724585	+	0.0223004i	0.947368	+	0.320146i	$0.103732\pi$
$854$	−0.379077	−	0.275416i	−0.0129718	−	0.00942453i
$855$	17.5698	−	54.0744i	0.600876	−	1.84931i
$856$	−0.141813	−	0.436455i	−0.00484706	−	0.0149177i
$857$	25.1126	−	18.2453i	0.857829	−	0.623249i	−0.0694647	−	0.997584i	$-0.522129\pi$
$857$	25.1126	−	18.2453i	0.857829	−	0.623249i	0.927293	+	0.374335i	$0.122129\pi$
$858$	−0.111890	−	0.344361i	−0.00381985	−	0.0117563i
$859$	16.0446	+	11.6571i	0.547434	+	0.397734i	0.826839	−	0.562439i	$-0.190137\pi$
$859$	16.0446	+	11.6571i	0.547434	+	0.397734i	−0.279404	+	0.960174i	$0.590137\pi$
$860$	−29.2818	−	21.2745i	−0.998501	−	0.725454i
$861$	−63.0088	+	45.7786i	−2.14733	+	1.56013i
$862$	0.751083			0.0255820
$863$	1.65053			0.0561848			0.0280924	−	0.999605i	$-0.491057\pi$
$863$	1.65053			0.0561848			0.0280924	+	0.999605i	$0.491057\pi$
$864$	0.310166	−	0.225349i	0.0105521	−	0.00766652i
$865$	26.7916	−	82.4561i	0.910942	−	2.80359i
$866$	−0.141231	−	0.434664i	−0.00479922	−	0.0147705i
$867$	2.31979			0.0787841
$868$	−49.3528	+	25.7664i	−1.67514	+	0.874568i
$869$	−6.30066			−0.213735
$870$	0.337123	+	1.03756i	0.0114295	+	0.0351765i
$871$	5.66402	−	17.4321i	0.191918	−	0.590663i
$872$	0.765375	−	0.556077i	0.0259189	−	0.0188312i
$873$	5.78915			0.195933
$874$	−1.20536			−0.0407720
$875$	27.3061	−	19.8390i	0.923115	−	0.670682i
$876$	−23.6902	−	17.2119i	−0.800417	−	0.581537i
$877$	−38.8679	−	28.2392i	−1.31247	−	0.953569i	−0.999993	−	0.00364477i	$-0.998840\pi$
$877$	−38.8679	−	28.2392i	−1.31247	−	0.953569i	−0.312481	−	0.949924i	$-0.601160\pi$
$878$	0.0185199	+	0.0569984i	0.000625016	+	0.00192360i
$879$	36.9582	−	26.8517i	1.24657	−	0.905686i
$880$	−11.4687	−	35.2972i	−0.386611	−	1.18987i
$881$	−13.2820	+	40.8777i	−0.447481	+	1.37721i	0.432259	+	0.901750i	$0.357717\pi$
$881$	−13.2820	+	40.8777i	−0.447481	+	1.37721i	−0.879740	+	0.475456i	$0.842283\pi$
$882$	−0.772738	−	0.561427i	−0.0260194	−	0.0189042i
$883$	−15.6835	+	48.2689i	−0.527792	+	1.62438i	0.230935	+	0.972969i	$0.425822\pi$
$883$	−15.6835	+	48.2689i	−0.527792	+	1.62438i	−0.758727	+	0.651409i	$0.774178\pi$
$884$	1.61230	−	4.96216i	0.0542276	−	0.166895i
$885$	−26.7607	−	19.4428i	−0.899551	−	0.653562i
$886$	0.0598697	−	0.184260i	0.00201136	−	0.00619034i
$887$	−5.45224	−	16.7803i	−0.183068	−	0.563427i	0.816841	−	0.576862i	$-0.195723\pi$
$887$	−5.45224	−	16.7803i	−0.183068	−	0.563427i	−0.999910	+	0.0134358i	$0.995723\pi$
$888$	−0.455638	+	0.331040i	−0.0152902	+	0.0111090i
$889$	−7.84999	−	24.1598i	−0.263280	−	0.810293i
$890$	0.488098	+	0.354624i	0.0163611	+	0.0118870i
$891$	22.7566	+	16.5336i	0.762373	+	0.553897i
$892$	−19.8004	+	14.3859i	−0.662968	+	0.481674i
$893$	−0.869890			−0.0291097
$894$	−0.328002			−0.0109700
$895$	9.93813	−	7.22048i	0.332195	−	0.241354i
$896$	−1.10067	+	3.38753i	−0.0367709	+	0.113169i
$897$	−14.6594	−	45.1170i	−0.489463	−	1.50641i
$898$	0.0596684			0.00199116
$899$	15.1376	−	30.4522i	0.504866	−	1.01564i
$900$	−33.1039			−1.10346
$901$	0.875064	+	2.69317i	0.0291526	+	0.0897225i
$902$	0.124093	−	0.381918i	0.00413183	−	0.0127165i
$903$	−49.1416	+	35.7035i	−1.63533	+	1.18814i
$904$	−1.02633			−0.0341352
$905$	−68.6549			−2.28217
$906$	−0.505234	+	0.367074i	−0.0167853	+	0.0121952i
$907$	−38.1852	−	27.7431i	−1.26792	−	0.921196i	−0.268800	−	0.963196i	$-0.586627\pi$
$907$	−38.1852	−	27.7431i	−1.26792	−	0.921196i	−0.999118	+	0.0420002i	$0.986627\pi$
$908$	4.11491	+	2.98965i	0.136558	+	0.0992152i
$909$	−4.02745	−	12.3952i	−0.133582	−	0.411123i
$910$	−0.812867	+	0.590582i	−0.0269463	+	0.0195776i
$911$	5.32363	+	16.3845i	0.176380	+	0.542841i	0.999694	−	0.0247450i	$-0.00787738\pi$
$911$	5.32363	+	16.3845i	0.176380	+	0.542841i	−0.823314	+	0.567586i	$0.807877\pi$
$912$	−19.7877	+	60.9002i	−0.655236	+	2.01661i
$913$	21.0212	+	15.2728i	0.695700	+	0.505455i
$914$	−0.196107	+	0.603557i	−0.00648666	+	0.0199639i
$915$	−10.4263	+	32.0887i	−0.344682	+	1.06082i
$916$	−19.7403	−	14.3422i	−0.652239	−	0.473879i
$917$	−17.7453	+	54.6143i	−0.586000	+	1.80352i
$918$	−0.00987600	−	0.0303952i	−0.000325957	−	0.00100319i
$919$	−30.9094	+	22.4570i	−1.01961	+	0.740787i	−0.966202	−	0.257786i	$-0.917007\pi$
$919$	−30.9094	+	22.4570i	−1.01961	+	0.740787i	−0.0534037	+	0.998573i	$0.517007\pi$
$920$	0.745766	+	2.29523i	0.0245872	+	0.0756715i
$921$	−57.8432	−	42.0255i	−1.90600	−	1.38479i
$922$	0.512645	+	0.372459i	0.0168831	+	0.0122663i
$923$	28.7261	−	20.8707i	0.945530	−	0.686968i
$924$	−62.3007			−2.04954
$925$	−18.9490			−0.623039
$926$	0.705527	−	0.512595i	0.0231851	−	0.0168449i
$927$	11.8065	−	36.3367i	0.387777	−	1.19345i
$928$	−0.504260	−	1.55195i	−0.0165531	−	0.0509453i
$929$	18.2960			0.600273			0.300137	−	0.953896i	$-0.402968\pi$
$929$	18.2960			0.600273			0.300137	+	0.953896i	$0.402968\pi$
$930$	−0.710149	−	0.696197i	−0.0232867	−	0.0228292i
$931$	−124.372			−4.07614
$932$	−2.66950	−	8.21589i	−0.0874425	−	0.269120i
$933$	−4.31940	+	13.2937i	−0.141411	+	0.435217i
$934$	0.0590725	−	0.0429187i	0.00193291	−	0.00140434i
$935$	−9.28532			−0.303662
$936$	0.553512			0.0180921
$937$	22.2771	−	16.1853i	0.727762	−	0.528750i	−0.161092	−	0.986939i	$-0.551502\pi$
$937$	22.2771	−	16.1853i	0.727762	−	0.528750i	0.888855	+	0.458189i	$0.151502\pi$
$938$	0.632928	+	0.459849i	0.0206658	+	0.0150146i
$939$	−46.1932	−	33.5613i	−1.50746	−	1.09523i
$940$	0.269070	+	0.828112i	0.00877609	+	0.0270100i
$941$	3.89932	−	2.83302i	0.127114	−	0.0923538i	−0.522412	−	0.852693i	$-0.674968\pi$
$941$	3.89932	−	2.83302i	0.127114	−	0.0923538i	0.649526	+	0.760340i	$0.274968\pi$
$942$	−0.0383906	−	0.118154i	−0.00125083	−	0.00384967i
$943$	16.2582	−	50.0375i	0.529439	−	1.62945i
$944$	13.3371	+	9.68999i	0.434086	+	0.315382i
$945$	7.66673	−	23.5958i	0.249399	−	0.767571i
$946$	0.0967819	−	0.297864i	0.00314665	−	0.00968440i
$947$	44.4006	+	32.2590i	1.44283	+	1.04828i	0.987442	+	0.157980i	$0.0504983\pi$
$947$	44.4006	+	32.2590i	1.44283	+	1.04828i	0.455385	+	0.890295i	$0.349502\pi$
$948$	3.36253	−	10.3488i	0.109210	−	0.336113i
$949$	5.09055	+	15.6671i	0.165246	+	0.508576i
$950$	0.865076	−	0.628514i	0.0280668	−	0.0203917i
$951$	−9.27986	−	28.5605i	−0.300920	−	0.926137i
$952$	0.360379	+	0.261831i	0.0116800	+	0.00848598i
$953$	15.8803	+	11.5377i	0.514413	+	0.373743i	0.814495	−	0.580171i	$-0.197014\pi$
$953$	15.8803	+	11.5377i	0.514413	+	0.373743i	−0.300082	+	0.953913i	$0.597014\pi$
$954$	−0.121505	+	0.0882785i	−0.00393387	+	0.00285812i
$955$	39.9768			1.29362
$956$	20.2361			0.654481
$957$	30.7870	−	22.3681i	0.995202	−	0.723056i
$958$	0.218953	−	0.673868i	0.00707404	−	0.0217717i
$959$	24.5151	+	75.4497i	0.791633	+	2.43640i
$960$	64.0642			2.06766
$961$	0.615036	+	30.9939i	0.0198399	+	0.999803i
$962$	0.158398			0.00510696
$963$	3.79138	+	11.6687i	0.122175	+	0.376017i
$964$	2.19774	−	6.76396i	0.0707845	−	0.217852i
$965$	−44.2509	+	32.1502i	−1.42449	+	1.03495i
$966$	2.02483			0.0651477
$967$	−38.8898			−1.25061			−0.625306	−	0.780379i	$-0.715026\pi$
$967$	−38.8898			−1.25061			−0.625306	+	0.780379i	$0.715026\pi$
$968$	−0.272865	+	0.198248i	−0.00877022	+	0.00637194i
$969$	12.9609	+	9.41661i	0.416363	+	0.302505i
$970$	0.151429	+	0.110019i	0.00486209	+	0.00353251i
$971$	10.7046	+	32.9453i	0.343526	+	1.05727i	0.962368	+	0.271749i	$0.0876022\pi$
$971$	10.7046	+	32.9453i	0.343526	+	1.05727i	−0.618842	+	0.785516i	$0.712398\pi$
$972$	−32.3371	+	23.4943i	−1.03721	+	0.753579i
$973$	18.8701	+	58.0762i	0.604947	+	1.86184i
$974$	0.0636373	−	0.195855i	0.00203907	−	0.00627561i
$975$	34.0464	+	24.7361i	1.09036	+	0.792190i
$976$	5.19629	−	15.9925i	0.166329	−	0.511909i
$977$	−2.24474	+	6.90861i	−0.0718157	+	0.221026i	−0.980522	−	0.196411i	$-0.937071\pi$
$977$	−2.24474	+	6.90861i	−0.0718157	+	0.221026i	0.908706	+	0.417437i	$0.137071\pi$
$978$	−0.655823	−	0.476483i	−0.0209709	−	0.0152363i
$979$	6.50331	−	20.0151i	0.207847	−	0.639686i
$980$	38.4702	+	118.399i	1.22889	+	3.78212i
$981$	−20.4624	+	14.8668i	−0.653313	+	0.474660i
$982$	−0.110859	−	0.341189i	−0.00353766	−	0.0108878i
$983$	−10.0358	−	7.29144i	−0.320093	−	0.232561i	0.416122	−	0.909309i	$-0.363389\pi$
$983$	−10.0358	−	7.29144i	−0.320093	−	0.232561i	−0.736215	+	0.676748i	$0.763389\pi$
$984$	1.12228	+	0.815386i	0.0357771	+	0.0259936i
$985$	10.3217	−	7.49912i	0.328875	−	0.238942i
$986$	−0.136030			−0.00433207
$987$	1.46128			0.0465132
$988$	29.1508	−	21.1793i	0.927409	−	0.673802i
$989$	12.6800	−	39.0251i	0.403202	−	1.24093i
$990$	−0.152180	−	0.468362i	−0.00483660	−	0.0148855i
$991$	−47.6454			−1.51350			−0.756752	−	0.653702i	$-0.773215\pi$
$991$	−47.6454			−1.51350			−0.756752	+	0.653702i	$0.773215\pi$
$992$	1.06222	+	1.04135i	0.0337255	+	0.0330629i
$993$	1.62676			0.0516236
$994$	0.468333	+	1.44138i	0.0148546	+	0.0457178i
$995$	7.11627	−	21.9016i	0.225601	−	0.694328i
$996$	−36.3040	+	26.3764i	−1.15034	+	0.835769i
$997$	−43.0294			−1.36276			−0.681378	−	0.731932i	$-0.738619\pi$
$997$	−43.0294			−1.36276			−0.681378	+	0.731932i	$0.738619\pi$
$998$	0.343835			0.0108839
$999$	−3.16427	+	2.29898i	−0.100113	+	0.0727364i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	527.2.h.c.35.12	✓	96
31.8	even	5	inner	527.2.h.c.256.12	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
527.2.h.c.35.12	✓	96	1.1	even	1	trivial
527.2.h.c.256.12	yes	96	31.8	even	5	inner

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:	\( N \)	\(=\)	\( 527 = 17 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	527.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.00688221 + 0.0211813i) q^{2} +(0.716853 - 2.20625i) q^{3} +(1.61763 - 1.17528i) q^{4} -3.45720 q^{5} +0.0516646 q^{6} +(-4.04583 + 2.93947i) q^{7} +(0.0720625 + 0.0523565i) q^{8} +(-1.92660 - 1.39976i) q^{9} +O(q^{10})\)	\(q+(0.00688221 + 0.0211813i) q^{2} +(0.716853 - 2.20625i) q^{3} +(1.61763 - 1.17528i) q^{4} -3.45720 q^{5} +0.0516646 q^{6} +(-4.04583 + 2.93947i) q^{7} +(0.0720625 + 0.0523565i) q^{8} +(-1.92660 - 1.39976i) q^{9} +(-0.0237932 - 0.0732278i) q^{10} +(-2.17285 + 1.57867i) q^{11} +(-1.43335 - 4.41140i) q^{12} +(-0.806351 + 2.48169i) q^{13} +(-0.0901059 - 0.0654658i) q^{14} +(-2.47830 + 7.62743i) q^{15} +(1.23515 - 3.80140i) q^{16} +(-0.809017 - 0.587785i) q^{17} +(0.0163893 - 0.0504412i) q^{18} +(-2.13408 - 6.56802i) q^{19} +(-5.59248 + 4.06317i) q^{20} +(3.58493 + 11.0333i) q^{21} +(-0.0483922 - 0.0351590i) q^{22} +(-6.34018 - 4.60641i) q^{23} +(0.167170 - 0.121456i) q^{24} +6.95222 q^{25} -0.0581149 q^{26} +(1.16094 - 0.843475i) q^{27} +(-3.08997 + 9.50996i) q^{28} +(-1.88743 - 5.80892i) q^{29} -0.178615 q^{30} +(3.97587 + 3.89775i) q^{31} +0.267167 q^{32} +(1.92532 + 5.92553i) q^{33} +(0.00688221 - 0.0211813i) q^{34} +(13.9872 - 10.1623i) q^{35} -4.76163 q^{36} -2.72560 q^{37} +(0.124432 - 0.0904049i) q^{38} +(4.89719 + 3.55802i) q^{39} +(-0.249134 - 0.181007i) q^{40} +(2.07457 + 6.38486i) q^{41} +(-0.209026 + 0.151867i) q^{42} +(1.61799 + 4.97967i) q^{43} +(-1.65950 + 5.10742i) q^{44} +(6.66063 + 4.83923i) q^{45} +(0.0539352 - 0.165995i) q^{46} +(0.0389241 - 0.119796i) q^{47} +(-7.50140 - 5.45009i) q^{48} +(5.56516 - 17.1278i) q^{49} +(0.0478466 + 0.147257i) q^{50} +(-1.87675 + 1.36354i) q^{51} +(1.61230 + 4.96216i) q^{52} +(-2.29095 - 1.66447i) q^{53} +(0.0258557 + 0.0187853i) q^{54} +(7.51198 - 5.45777i) q^{55} -0.445453 q^{56} -16.0205 q^{57} +(0.110050 - 0.0799563i) q^{58} +(-1.27453 + 3.92260i) q^{59} +(4.95538 + 15.2511i) q^{60} +4.20702 q^{61} +(-0.0551966 + 0.111039i) q^{62} +11.9092 q^{63} +(-2.46846 - 7.59713i) q^{64} +(2.78772 - 8.57971i) q^{65} +(-0.112260 + 0.0815614i) q^{66} -7.02426 q^{67} -1.99950 q^{68} +(-14.7079 + 10.6859i) q^{69} +(0.311514 + 0.226328i) q^{70} +(-11.0087 - 7.99826i) q^{71} +(-0.0655492 - 0.201740i) q^{72} +(5.10738 - 3.71073i) q^{73} +(-0.0187582 - 0.0577317i) q^{74} +(4.98372 - 15.3383i) q^{75} +(-11.1714 - 8.11650i) q^{76} +(4.15055 - 12.7741i) q^{77} +(-0.0416598 + 0.128216i) q^{78} +(1.89789 + 1.37890i) q^{79} +(-4.27015 + 13.1422i) q^{80} +(-3.23637 - 9.96053i) q^{81} +(-0.120962 + 0.0878839i) q^{82} +(-2.98957 - 9.20096i) q^{83} +(18.7663 + 13.6345i) q^{84} +(2.79693 + 2.03209i) q^{85} +(-0.0943402 + 0.0685422i) q^{86} -14.1689 q^{87} -0.239235 q^{88} +(-6.33924 + 4.60573i) q^{89} +(-0.0566612 + 0.174385i) q^{90} +(-4.03250 - 12.4108i) q^{91} -15.6699 q^{92} +(11.4495 - 5.97763i) q^{93} +0.00280531 q^{94} +(7.37793 + 22.7069i) q^{95} +(0.191520 - 0.589437i) q^{96} +(-1.96670 + 1.42889i) q^{97} +0.401089 q^{98} +6.39597 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 2 q^{2} - 4 q^{3} - 30 q^{4} + 6 q^{5} - 8 q^{6} - 10 q^{7} - 36 q^{9}+O(q^{10}) \) 96 * q - 2 * q^2 - 4 * q^3 - 30 * q^4 + 6 * q^5 - 8 * q^6 - 10 * q^7 - 36 * q^9	\( 96 q - 2 q^{2} - 4 q^{3} - 30 q^{4} + 6 q^{5} - 8 q^{6} - 10 q^{7} - 36 q^{9} - 13 q^{10} - 4 q^{11} - 14 q^{12} - 14 q^{13} + 17 q^{14} - 9 q^{15} - 58 q^{16} - 24 q^{17} - 24 q^{18} - 6 q^{19} + 43 q^{20} + 26 q^{21} + 42 q^{22} - 11 q^{23} - 38 q^{24} + 126 q^{25} - 44 q^{26} - q^{27} + 31 q^{28} - 10 q^{29} - 70 q^{30} + 21 q^{31} + 28 q^{32} - 36 q^{33} - 2 q^{34} + 2 q^{35} + 160 q^{36} + 54 q^{37} + 15 q^{38} - 10 q^{39} - 29 q^{40} - 14 q^{41} - 3 q^{42} + 6 q^{43} - 5 q^{44} - q^{45} - 17 q^{46} - 14 q^{47} - 93 q^{48} - 72 q^{49} + 108 q^{50} + q^{51} + 13 q^{52} - 30 q^{53} - 63 q^{54} - 12 q^{55} + 66 q^{56} - 62 q^{57} + 29 q^{58} + 8 q^{59} - 86 q^{60} - 14 q^{61} - 34 q^{62} + 86 q^{63} - 122 q^{64} + 13 q^{65} - 40 q^{66} + 126 q^{67} + 120 q^{68} - 34 q^{69} - 38 q^{70} - 39 q^{71} - 51 q^{72} - 60 q^{73} - 111 q^{74} - 41 q^{75} + 64 q^{76} - 26 q^{77} - 99 q^{78} - 33 q^{79} - 91 q^{80} + 81 q^{81} - 88 q^{82} + 22 q^{83} + 160 q^{84} - 4 q^{85} + 35 q^{86} + 70 q^{87} - 120 q^{88} + 101 q^{89} + 125 q^{90} - 13 q^{91} - 98 q^{92} + 47 q^{93} - 8 q^{94} - 64 q^{95} + 208 q^{96} + 16 q^{97} + 8 q^{98} + 280 q^{99}+O(q^{100}) \) 96 * q - 2 * q^2 - 4 * q^3 - 30 * q^4 + 6 * q^5 - 8 * q^6 - 10 * q^7 - 36 * q^9 - 13 * q^10 - 4 * q^11 - 14 * q^12 - 14 * q^13 + 17 * q^14 - 9 * q^15 - 58 * q^16 - 24 * q^17 - 24 * q^18 - 6 * q^19 + 43 * q^20 + 26 * q^21 + 42 * q^22 - 11 * q^23 - 38 * q^24 + 126 * q^25 - 44 * q^26 - q^27 + 31 * q^28 - 10 * q^29 - 70 * q^30 + 21 * q^31 + 28 * q^32 - 36 * q^33 - 2 * q^34 + 2 * q^35 + 160 * q^36 + 54 * q^37 + 15 * q^38 - 10 * q^39 - 29 * q^40 - 14 * q^41 - 3 * q^42 + 6 * q^43 - 5 * q^44 - q^45 - 17 * q^46 - 14 * q^47 - 93 * q^48 - 72 * q^49 + 108 * q^50 + q^51 + 13 * q^52 - 30 * q^53 - 63 * q^54 - 12 * q^55 + 66 * q^56 - 62 * q^57 + 29 * q^58 + 8 * q^59 - 86 * q^60 - 14 * q^61 - 34 * q^62 + 86 * q^63 - 122 * q^64 + 13 * q^65 - 40 * q^66 + 126 * q^67 + 120 * q^68 - 34 * q^69 - 38 * q^70 - 39 * q^71 - 51 * q^72 - 60 * q^73 - 111 * q^74 - 41 * q^75 + 64 * q^76 - 26 * q^77 - 99 * q^78 - 33 * q^79 - 91 * q^80 + 81 * q^81 - 88 * q^82 + 22 * q^83 + 160 * q^84 - 4 * q^85 + 35 * q^86 + 70 * q^87 - 120 * q^88 + 101 * q^89 + 125 * q^90 - 13 * q^91 - 98 * q^92 + 47 * q^93 - 8 * q^94 - 64 * q^95 + 208 * q^96 + 16 * q^97 + 8 * q^98 + 280 * q^99

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