LMFDB - Embedded newform 633.2.r.a.34.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [633,2,Mod(34,633)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(633, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([0, 40]))

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

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

chi := DirichletCharacter("633.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 633 = 3 \cdot 211 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	633.r (of order $21$, degree $12$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.05453044795$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$17$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			34.14
Character	$\chi$	$=$	633.34
Dual form			633.2.r.a.391.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.53910 - 0.231982i) q^{2} +(0.988831 - 0.149042i) q^{3} +(0.403868 - 0.124577i) q^{4} +(-1.75817 + 2.20467i) q^{5} +(1.48733 - 0.458782i) q^{6} +(-0.0868590 - 0.221313i) q^{7} +(-2.21200 + 1.06524i) q^{8} +(0.955573 - 0.294755i) q^{9} +O(q^{10})$	\(q+(1.53910 - 0.231982i) q^{2} +(0.988831 - 0.149042i) q^{3} +(0.403868 - 0.124577i) q^{4} +(-1.75817 + 2.20467i) q^{5} +(1.48733 - 0.458782i) q^{6} +(-0.0868590 - 0.221313i) q^{7} +(-2.21200 + 1.06524i) q^{8} +(0.955573 - 0.294755i) q^{9} +(-2.19455 + 3.80108i) q^{10} +(3.13737 + 3.93413i) q^{11} +(0.380790 - 0.183379i) q^{12} +(5.62567 + 2.70918i) q^{13} +(-0.185025 - 0.320473i) q^{14} +(-1.40994 + 2.44209i) q^{15} +(-3.85578 + 2.62882i) q^{16} +(0.387297 - 5.16812i) q^{17} +(1.40234 - 0.675333i) q^{18} +(-2.61118 + 4.52269i) q^{19} +(-0.435417 + 1.10942i) q^{20} +(-0.118874 - 0.205896i) q^{21} +(5.74137 + 5.32721i) q^{22} +2.07775 q^{23} +(-2.02852 + 1.38302i) q^{24} +(-0.656826 - 2.87774i) q^{25} +(9.28695 + 2.86464i) q^{26} +(0.900969 - 0.433884i) q^{27} +(-0.0626500 - 0.0785606i) q^{28} +(-0.630504 - 8.41349i) q^{29} +(-1.60352 + 4.08570i) q^{30} +(-0.468241 + 6.24824i) q^{31} +(-1.72511 + 1.60067i) q^{32} +(3.68868 + 3.42259i) q^{33} +(-0.602823 - 8.04411i) q^{34} +(0.640636 + 0.197610i) q^{35} +(0.349205 - 0.238084i) q^{36} +(0.328631 + 0.837338i) q^{37} +(-2.96968 + 7.56661i) q^{38} +(5.96662 + 1.84046i) q^{39} +(1.54055 - 6.74960i) q^{40} +(-4.37783 - 2.98476i) q^{41} +(-0.230723 - 0.289317i) q^{42} +(-4.75991 - 3.24525i) q^{43} +(1.75718 + 1.19803i) q^{44} +(-1.03022 + 2.62496i) q^{45} +(3.19787 - 0.482001i) q^{46} +(-1.42664 - 0.440061i) q^{47} +(-3.42090 + 3.17414i) q^{48} +(5.08993 - 4.72276i) q^{49} +(-1.67851 - 4.27676i) q^{50} +(-0.387297 - 5.16812i) q^{51} +(2.60953 + 0.393323i) q^{52} +(-9.72720 - 3.00045i) q^{53} +(1.28603 - 0.876799i) q^{54} -14.1895 q^{55} +(0.427883 + 0.397018i) q^{56} +(-1.90794 + 4.86135i) q^{57} +(-2.92219 - 12.8029i) q^{58} +(0.918380 - 12.2549i) q^{59} +(-0.265202 + 1.16193i) q^{60} +(2.23907 + 3.87819i) q^{61} +(0.728810 + 9.72529i) q^{62} +(-0.148233 - 0.185879i) q^{63} +(3.53544 - 4.43330i) q^{64} +(-15.8637 + 7.63957i) q^{65} +(6.47123 + 4.41201i) q^{66} +(4.61776 - 5.79049i) q^{67} +(-0.487411 - 2.13549i) q^{68} +(2.05454 - 0.309673i) q^{69} +(1.03185 + 0.155526i) q^{70} +8.82821 q^{71} +(-1.79974 + 1.66991i) q^{72} +(-1.89964 + 0.585963i) q^{73} +(0.700043 + 1.21251i) q^{74} +(-1.07840 - 2.74771i) q^{75} +(-0.491148 + 2.15186i) q^{76} +(0.598167 - 1.03606i) q^{77} +(9.61017 + 1.44850i) q^{78} +(9.57861 + 4.61282i) q^{79} +(0.983407 - 13.1226i) q^{80} +(0.826239 - 0.563320i) q^{81} +(-7.43034 - 3.57826i) q^{82} +(1.26515 - 2.19130i) q^{83} +(-0.0736591 - 0.0683457i) q^{84} +(10.7131 + 9.94030i) q^{85} +(-8.07882 - 3.89056i) q^{86} +(-1.87743 - 8.22554i) q^{87} +(-11.1306 - 5.36024i) q^{88} +(11.7257 + 14.7035i) q^{89} +(-0.976668 + 4.27906i) q^{90} +(0.110937 - 1.48035i) q^{91} +(0.839136 - 0.258839i) q^{92} +(0.468241 + 6.24824i) q^{93} +(-2.29783 - 0.346342i) q^{94} +(-5.38017 - 13.7084i) q^{95} +(-1.46728 + 1.83991i) q^{96} +(2.80631 - 12.2952i) q^{97} +(6.73831 - 8.44958i) q^{98} +(4.15759 + 2.83460i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 4 q^{2} - 17 q^{3} + 26 q^{4} + 4 q^{5} - 10 q^{6} + 4 q^{7} - 10 q^{8} + 17 q^{9}+O(q^{10}) $ 204 * q - 4 * q^2 - 17 * q^3 + 26 * q^4 + 4 * q^5 - 10 * q^6 + 4 * q^7 - 10 * q^8 + 17 * q^9	\( 204 q - 4 q^{2} - 17 q^{3} + 26 q^{4} + 4 q^{5} - 10 q^{6} + 4 q^{7} - 10 q^{8} + 17 q^{9} - 18 q^{10} + 12 q^{11} + 45 q^{12} + 12 q^{13} + 16 q^{14} - 12 q^{15} - 12 q^{16} + 9 q^{17} - 6 q^{18} + 29 q^{19} - q^{20} + 24 q^{21} - 12 q^{22} - 12 q^{23} - 5 q^{24} - 18 q^{25} + 23 q^{26} + 34 q^{27} - 138 q^{28} - 15 q^{29} - 66 q^{30} - q^{31} - 26 q^{32} + 20 q^{33} + 56 q^{34} - 22 q^{35} + 12 q^{36} - 5 q^{37} + 5 q^{38} - 22 q^{39} + 86 q^{40} - 24 q^{41} - 10 q^{42} + 5 q^{43} - 79 q^{44} - 2 q^{45} + 9 q^{46} + 15 q^{47} + 47 q^{48} + 67 q^{49} - 62 q^{50} - 9 q^{51} - 11 q^{52} - 38 q^{53} - 3 q^{54} - 8 q^{55} + 72 q^{56} - q^{57} + 42 q^{58} - 69 q^{59} - 2 q^{60} - 56 q^{61} + 41 q^{62} - 8 q^{63} - 48 q^{64} - 42 q^{65} - 30 q^{66} + 4 q^{67} + 149 q^{68} + 8 q^{69} + 101 q^{70} - 102 q^{71} - 16 q^{72} + 10 q^{73} + 28 q^{74} - 23 q^{75} - 2 q^{76} + 26 q^{77} + 12 q^{78} - 88 q^{79} - 305 q^{80} + 17 q^{81} + 25 q^{82} - 5 q^{83} + 22 q^{84} + 77 q^{85} - 118 q^{86} + 12 q^{87} - 123 q^{88} + 26 q^{89} + 29 q^{90} + 108 q^{91} + 35 q^{92} + q^{93} + 202 q^{94} + 2 q^{95} - 38 q^{96} - 12 q^{97} + 87 q^{98} - 20 q^{99}+O(q^{100}) \) 204 * q - 4 * q^2 - 17 * q^3 + 26 * q^4 + 4 * q^5 - 10 * q^6 + 4 * q^7 - 10 * q^8 + 17 * q^9 - 18 * q^10 + 12 * q^11 + 45 * q^12 + 12 * q^13 + 16 * q^14 - 12 * q^15 - 12 * q^16 + 9 * q^17 - 6 * q^18 + 29 * q^19 - q^20 + 24 * q^21 - 12 * q^22 - 12 * q^23 - 5 * q^24 - 18 * q^25 + 23 * q^26 + 34 * q^27 - 138 * q^28 - 15 * q^29 - 66 * q^30 - q^31 - 26 * q^32 + 20 * q^33 + 56 * q^34 - 22 * q^35 + 12 * q^36 - 5 * q^37 + 5 * q^38 - 22 * q^39 + 86 * q^40 - 24 * q^41 - 10 * q^42 + 5 * q^43 - 79 * q^44 - 2 * q^45 + 9 * q^46 + 15 * q^47 + 47 * q^48 + 67 * q^49 - 62 * q^50 - 9 * q^51 - 11 * q^52 - 38 * q^53 - 3 * q^54 - 8 * q^55 + 72 * q^56 - q^57 + 42 * q^58 - 69 * q^59 - 2 * q^60 - 56 * q^61 + 41 * q^62 - 8 * q^63 - 48 * q^64 - 42 * q^65 - 30 * q^66 + 4 * q^67 + 149 * q^68 + 8 * q^69 + 101 * q^70 - 102 * q^71 - 16 * q^72 + 10 * q^73 + 28 * q^74 - 23 * q^75 - 2 * q^76 + 26 * q^77 + 12 * q^78 - 88 * q^79 - 305 * q^80 + 17 * q^81 + 25 * q^82 - 5 * q^83 + 22 * q^84 + 77 * q^85 - 118 * q^86 + 12 * q^87 - 123 * q^88 + 26 * q^89 + 29 * q^90 + 108 * q^91 + 35 * q^92 + q^93 + 202 * q^94 + 2 * q^95 - 38 * q^96 - 12 * q^97 + 87 * q^98 - 20 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/633\mathbb{Z}\right)^\times$.

$n$	$212$	$424$
$\chi(n)$	$1$	$e\left(\frac{20}{21}\right)$

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 $

$2$	1.53910	−	0.231982i	1.08831	−	0.164036i	0.419709	−	0.907659i	$-0.362132\pi$
$2$	1.53910	−	0.231982i	1.08831	−	0.164036i	0.668599	+	0.743623i	$0.266894\pi$
$3$	0.988831	−	0.149042i	0.570902	−	0.0860496i
$3$	0.988831	−	0.149042i	0.570902	−	0.0860496i
$4$	0.403868	−	0.124577i	0.201934	−	0.0622883i
$5$	−1.75817	+	2.20467i	−0.786277	+	0.985960i	0.213682	+	0.976903i	$0.431454\pi$
$5$	−1.75817	+	2.20467i	−0.786277	+	0.985960i	−0.999959	+	0.00905713i	$0.997117\pi$
$6$	1.48733	−	0.458782i	0.607202	−	0.187297i
$7$	−0.0868590	−	0.221313i	−0.0328296	−	0.0836485i	0.913519	−	0.406796i	$-0.133354\pi$
$7$	−0.0868590	−	0.221313i	−0.0328296	−	0.0836485i	−0.946348	+	0.323148i	$0.895259\pi$
$8$	−2.21200	+	1.06524i	−0.782058	+	0.376619i
$9$	0.955573	−	0.294755i	0.318524	−	0.0982517i
$10$	−2.19455	+	3.80108i	−0.693979	+	1.20201i
$11$	3.13737	+	3.93413i	0.945952	+	1.18619i	0.982388	+	0.186850i	$0.0598279\pi$
$11$	3.13737	+	3.93413i	0.945952	+	1.18619i	−0.0364364	+	0.999336i	$0.511601\pi$
$12$	0.380790	−	0.183379i	0.109924	−	0.0529368i
$13$	5.62567	+	2.70918i	1.56028	+	0.751391i	0.997184	−	0.0750003i	$-0.0238958\pi$
$13$	5.62567	+	2.70918i	1.56028	+	0.751391i	0.563096	+	0.826391i	$0.309610\pi$
$14$	−0.185025	−	0.320473i	−0.0494501	−	0.0856501i
$15$	−1.40994	+	2.44209i	−0.364046	+	0.630545i
$16$	−3.85578	+	2.62882i	−0.963944	+	0.657206i
$17$	0.387297	−	5.16812i	0.0939334	−	1.25345i	−0.728680	−	0.684854i	$-0.759866\pi$
$17$	0.387297	−	5.16812i	0.0939334	−	1.25345i	0.822614	−	0.568600i	$-0.192515\pi$
$18$	1.40234	−	0.675333i	0.330536	−	0.159178i
$19$	−2.61118	+	4.52269i	−0.599045	+	1.03758i	0.393918	+	0.919146i	$0.371119\pi$
$19$	−2.61118	+	4.52269i	−0.599045	+	1.03758i	−0.992962	+	0.118430i	$0.962214\pi$
$20$	−0.435417	+	1.10942i	−0.0973621	+	0.248075i
$21$	−0.118874	−	0.205896i	−0.0259404	−	0.0449301i
$22$	5.74137	+	5.32721i	1.22406	+	1.13577i
$23$	2.07775			0.433241			0.216620	−	0.976256i	$-0.430497\pi$
$23$	2.07775			0.433241			0.216620	+	0.976256i	$0.430497\pi$
$24$	−2.02852	+	1.38302i	−0.414071	+	0.282309i
$25$	−0.656826	−	2.87774i	−0.131365	−	0.575549i
$26$	9.28695	+	2.86464i	1.82132	+	0.561803i
$27$	0.900969	−	0.433884i	0.173392	−	0.0835010i
$28$	−0.0626500	−	0.0785606i	−0.0118397	−	0.0148466i
$29$	−0.630504	−	8.41349i	−0.117082	−	1.56235i	−0.678367	−	0.734723i	$-0.737312\pi$
$29$	−0.630504	−	8.41349i	−0.117082	−	1.56235i	0.561285	−	0.827622i	$-0.310307\pi$
$30$	−1.60352	+	4.08570i	−0.292762	+	0.745944i
$31$	−0.468241	+	6.24824i	−0.0840986	+	1.12222i	0.782313	+	0.622886i	$0.214040\pi$
$31$	−0.468241	+	6.24824i	−0.0840986	+	1.12222i	−0.866411	+	0.499331i	$0.833579\pi$
$32$	−1.72511	+	1.60067i	−0.304959	+	0.282961i
$33$	3.68868	+	3.42259i	0.642116	+	0.595797i
$34$	−0.602823	−	8.04411i	−0.103383	−	1.37955i
$35$	0.640636	+	0.197610i	0.108287	+	0.0334022i
$36$	0.349205	−	0.238084i	0.0582009	−	0.0396807i
$37$	0.328631	+	0.837338i	0.0540266	+	0.137657i	0.955339	−	0.295512i	$-0.0954903\pi$
$37$	0.328631	+	0.837338i	0.0540266	+	0.137657i	−0.901312	+	0.433170i	$0.857395\pi$
$38$	−2.96968	+	7.56661i	−0.481745	+	1.22747i
$39$	5.96662	+	1.84046i	0.955423	+	0.294709i
$40$	1.54055	−	6.74960i	0.243583	−	1.06721i
$41$	−4.37783	−	2.98476i	−0.683703	−	0.466141i	0.170991	−	0.985273i	$-0.445303\pi$
$41$	−4.37783	−	2.98476i	−0.683703	−	0.466141i	−0.854694	+	0.519132i	$0.826255\pi$
$42$	−0.230723	−	0.289317i	−0.0356013	−	0.0446426i
$43$	−4.75991	−	3.24525i	−0.725880	−	0.494896i	0.143122	−	0.989705i	$-0.454286\pi$
$43$	−4.75991	−	3.24525i	−0.725880	−	0.494896i	−0.869002	+	0.494809i	$0.835238\pi$
$44$	1.75718	+	1.19803i	0.264905	+	0.180609i
$45$	−1.03022	+	2.62496i	−0.153576	+	0.391305i
$46$	3.19787	−	0.482001i	0.471500	−	0.0710671i
$47$	−1.42664	−	0.440061i	−0.208097	−	0.0641895i	0.188954	−	0.981986i	$-0.439490\pi$
$47$	−1.42664	−	0.440061i	−0.208097	−	0.0641895i	−0.397051	+	0.917796i	$0.629966\pi$
$48$	−3.42090	+	3.17414i	−0.493765	+	0.458147i
$49$	5.08993	−	4.72276i	0.727133	−	0.674680i
$50$	−1.67851	−	4.27676i	−0.237377	−	0.604826i
$51$	−0.387297	−	5.16812i	−0.0542325	−	0.723682i
$52$	2.60953	+	0.393323i	0.361876	+	0.0545441i
$53$	−9.72720	−	3.00045i	−1.33613	−	0.412143i	−0.457318	−	0.889303i	$-0.651190\pi$
$53$	−9.72720	−	3.00045i	−1.33613	−	0.412143i	−0.878816	+	0.477160i	$0.841666\pi$
$54$	1.28603	−	0.876799i	0.175006	−	0.119317i
$55$	−14.1895			−1.91331
$56$	0.427883	+	0.397018i	0.0571783	+	0.0530537i
$57$	−1.90794	+	4.86135i	−0.252713	+	0.643901i
$58$	−2.92219	−	12.8029i	−0.383702	−	1.68111i
$59$	0.918380	−	12.2549i	0.119563	−	1.59546i	−0.538587	−	0.842570i	$-0.681042\pi$
$59$	0.918380	−	12.2549i	0.119563	−	1.59546i	0.658150	−	0.752887i	$-0.271339\pi$
$60$	−0.265202	+	1.16193i	−0.0342375	+	0.150004i
$61$	2.23907	+	3.87819i	0.286684	+	0.496551i	0.973016	−	0.230737i	$-0.0741137\pi$
$61$	2.23907	+	3.87819i	0.286684	+	0.496551i	−0.686332	+	0.727288i	$0.740780\pi$
$62$	0.728810	+	9.72529i	0.0925590	+	1.23511i
$63$	−0.148233	−	0.185879i	−0.0186756	−	0.0234185i
$64$	3.53544	−	4.43330i	0.441930	−	0.554163i
$65$	−15.8637	+	7.63957i	−1.96765	+	0.947572i
$66$	6.47123	+	4.41201i	0.796553	+	0.543080i
$67$	4.61776	−	5.79049i	0.564149	−	0.707421i	−0.415170	−	0.909744i	$-0.636278\pi$
$67$	4.61776	−	5.79049i	0.564149	−	0.707421i	0.979319	+	0.202323i	$0.0648492\pi$
$68$	−0.487411	−	2.13549i	−0.0591073	−	0.258966i
$69$	2.05454	−	0.309673i	0.247338	−	0.0372802i
$70$	1.03185	+	0.155526i	0.123329	+	0.0185889i
$71$	8.82821			1.04772			0.523858	−	0.851806i	$-0.324492\pi$
$71$	8.82821			1.04772			0.523858	+	0.851806i	$0.324492\pi$
$72$	−1.79974	+	1.66991i	−0.212101	+	0.196801i
$73$	−1.89964	+	0.585963i	−0.222337	+	0.0685817i	−0.403922	−	0.914793i	$-0.632353\pi$
$73$	−1.89964	+	0.585963i	−0.222337	+	0.0685817i	0.181585	+	0.983375i	$0.441877\pi$
$74$	0.700043	+	1.21251i	0.0813783	+	0.140951i
$75$	−1.07840	−	2.74771i	−0.124522	−	0.317278i
$76$	−0.491148	+	2.15186i	−0.0563385	+	0.246835i
$77$	0.598167	−	1.03606i	0.0681675	−	0.118069i
$78$	9.61017	+	1.44850i	1.08814	+	0.164010i
$79$	9.57861	+	4.61282i	1.07768	+	0.518982i	0.886574	−	0.462587i	$-0.153079\pi$
$79$	9.57861	+	4.61282i	1.07768	+	0.518982i	0.191104	+	0.981570i	$0.438793\pi$
$80$	0.983407	−	13.1226i	0.109948	−	1.46716i
$81$	0.826239	−	0.563320i	0.0918043	−	0.0625911i
$82$	−7.43034	−	3.57826i	−0.820543	−	0.395153i
$83$	1.26515	−	2.19130i	0.138868	−	0.240526i	−0.788201	−	0.615418i	$-0.788987\pi$
$83$	1.26515	−	2.19130i	0.138868	−	0.240526i	0.927068	+	0.374892i	$0.122320\pi$
$84$	−0.0736591	−	0.0683457i	−0.00803687	−	0.00745712i
$85$	10.7131	+	9.94030i	1.16200	+	1.07818i
$86$	−8.07882	−	3.89056i	−0.871162	−	0.419529i
$87$	−1.87743	−	8.22554i	−0.201281	−	0.881871i
$88$	−11.1306	−	5.36024i	−1.18653	−	0.571403i
$89$	11.7257	+	14.7035i	1.24292	+	1.55857i	0.684520	+	0.728994i	$0.260012\pi$
$89$	11.7257	+	14.7035i	1.24292	+	1.55857i	0.558397	+	0.829574i	$0.311417\pi$
$90$	−0.976668	+	4.27906i	−0.102950	+	0.451053i
$91$	0.110937	−	1.48035i	0.0116294	−	0.155183i
$92$	0.839136	−	0.258839i	0.0874860	−	0.0269859i
$93$	0.468241	+	6.24824i	0.0485543	+	0.647912i
$94$	−2.29783	−	0.346342i	−0.237003	−	0.0357225i
$95$	−5.38017	−	13.7084i	−0.551994	−	1.40646i
$96$	−1.46728	+	1.83991i	−0.149753	+	0.187785i
$97$	2.80631	−	12.2952i	0.284937	−	1.24839i	−0.606440	−	0.795129i	$-0.707403\pi$
$97$	2.80631	−	12.2952i	0.284937	−	1.24839i	0.891377	−	0.453262i	$-0.149740\pi$
$98$	6.73831	−	8.44958i	0.680672	−	0.853536i
$99$	4.15759	+	2.83460i	0.417854	+	0.284888i
$100$	−0.623770	−	1.08040i	−0.0623770	−	0.108040i
$101$	10.1617	−	1.53164i	1.01113	−	0.152404i	0.377477	−	0.926019i	$-0.376792\pi$
$101$	10.1617	−	1.53164i	1.01113	−	0.152404i	0.633655	+	0.773616i	$0.281554\pi$
$102$	−1.79500	−	7.86442i	−0.177732	−	0.778693i
$103$	2.46736	−	2.28937i	0.243116	−	0.225579i	−0.549198	−	0.835692i	$-0.685067\pi$
$103$	2.46736	−	2.28937i	0.243116	−	0.225579i	0.792314	+	0.610114i	$0.208876\pi$
$104$	−15.3299			−1.50322
$105$	0.662933	+	0.0999211i	0.0646956	+	0.00975130i
$106$	−15.6672	−	2.36145i	−1.52173	−	0.229364i
$107$	−1.13636			−0.109856			−0.0549281	−	0.998490i	$-0.517493\pi$
$107$	−1.13636			−0.109856			−0.0549281	+	0.998490i	$0.517493\pi$
$108$	0.309820	−	0.287471i	0.0298125	−	0.0276619i
$109$	−0.582079	−	2.55026i	−0.0557531	−	0.244270i	0.939371	−	0.342903i	$-0.111410\pi$
$109$	−0.582079	−	2.55026i	−0.0557531	−	0.244270i	−0.995124	+	0.0986327i	$0.968553\pi$
$110$	−21.8391	+	3.29171i	−2.08227	+	0.313852i
$111$	0.449759	+	0.779005i	0.0426892	+	0.0739399i
$112$	0.916702	+	0.624997i	0.0866202	+	0.0590566i
$113$	−11.9658	+	15.0047i	−1.12565	+	1.41152i	−0.226427	+	0.974028i	$0.572704\pi$
$113$	−11.9658	+	15.0047i	−1.12565	+	1.41152i	−0.899223	+	0.437491i	$0.855867\pi$
$114$	−1.80876	+	7.92471i	−0.169406	+	0.742217i
$115$	−3.65304	+	4.58076i	−0.340647	+	0.427158i
$116$	−1.30276	−	3.31939i	−0.120959	−	0.308198i
$117$	6.17428	+	0.930623i	0.570812	+	0.0860361i
$118$	−1.42944	−	19.0746i	−0.131591	−	1.75596i
$119$	−1.17741	+	0.363184i	−0.107933	+	0.0332930i
$120$	0.517370	−	6.90382i	0.0472292	−	0.630230i
$121$	−3.18661	+	13.9614i	−0.289692	+	1.26922i
$122$	4.34583	+	5.44950i	0.393453	+	0.493374i
$123$	−4.77379	−	2.29894i	−0.430438	−	0.207288i
$124$	0.589278	+	2.58179i	0.0529187	+	0.231852i
$125$	−5.20384	−	2.50604i	−0.465446	−	0.224147i
$126$	−0.271266	−	0.251698i	−0.0241663	−	0.0224231i
$127$	14.5740	+	13.5227i	1.29323	+	1.19994i	0.967036	+	0.254641i	$0.0819573\pi$
$127$	14.5740	+	13.5227i	1.29323	+	1.19994i	0.326196	+	0.945302i	$0.394233\pi$
$128$	6.76628	−	11.7195i	0.598060	−	1.03587i
$129$	−5.19043	−	2.49958i	−0.456992	−	0.220076i
$130$	−22.6436	+	15.4382i	−1.98598	+	1.35402i
$131$	0.716982	−	9.56746i	0.0626430	−	0.835913i	−0.874067	−	0.485806i	$-0.838526\pi$
$131$	0.716982	−	9.56746i	0.0626430	−	0.835913i	0.936710	−	0.350107i	$-0.113855\pi$
$132$	1.91611	+	0.922752i	0.166776	+	0.0803152i
$133$	1.22773	+	0.185051i	0.106458	+	0.0160460i
$134$	5.76390	−	9.98337i	0.497925	−	0.862432i
$135$	−0.627483	+	2.74918i	−0.0540052	+	0.236612i
$136$	4.64860	+	11.8444i	0.398614	+	1.01565i
$137$	−2.06334	−	3.57381i	−0.176283	−	0.305331i	0.764322	−	0.644835i	$-0.223074\pi$
$137$	−2.06334	−	3.57381i	−0.176283	−	0.305331i	−0.940604	+	0.339504i	$0.889741\pi$
$138$	3.09031	−	0.953234i	0.263065	−	0.0811447i
$139$	−2.52002	+	2.33823i	−0.213745	+	0.198326i	−0.779778	−	0.626056i	$-0.784668\pi$
$139$	−2.52002	+	2.33823i	−0.213745	+	0.198326i	0.566033	+	0.824383i	$0.308478\pi$
$140$	0.283350			0.0239474
$141$	−1.47630	−	0.222516i	−0.124327	−	0.0187392i
$142$	13.5875	−	2.04799i	1.14024	−	0.171863i
$143$	6.99152	+	30.6318i	0.584660	+	2.56156i
$144$	−2.90962	+	3.64854i	−0.242468	+	0.304045i
$145$	19.6575	+	13.4023i	1.63247	+	1.11300i
$146$	−2.78781	+	1.34254i	−0.230721	+	0.111109i
$147$	4.32919	−	5.42863i	0.357065	−	0.447746i
$148$	0.237036	+	0.297234i	0.0194842	+	0.0244325i
$149$	−0.202240	−	2.69870i	−0.0165681	−	0.221086i	−0.999342	−	0.0362736i	$-0.988451\pi$
$149$	−0.202240	−	2.69870i	−0.0165681	−	0.221086i	0.982774	−	0.184813i	$-0.0591678\pi$
$150$	−2.29718	−	3.97883i	−0.187564	−	0.324870i
$151$	0.927008	−	4.06149i	0.0754389	−	0.330519i	−0.923100	−	0.384560i	$-0.874353\pi$
$151$	0.927008	−	4.06149i	0.0754389	−	0.330519i	0.998539	+	0.0540411i	$0.0172102\pi$
$152$	0.958155	−	12.7857i	0.0777167	−	1.03706i
$153$	−1.15324	−	5.05268i	−0.0932340	−	0.408485i
$154$	0.680293	−	1.73336i	0.0548195	−	0.139678i
$155$	−12.9521	−	12.0178i	−1.04034	−	0.965292i
$156$	2.63900			0.211289
$157$	−11.7472	+	8.00909i	−0.937526	+	0.639195i	−0.932646	−	0.360793i	$-0.882506\pi$
$157$	−11.7472	+	8.00909i	−0.937526	+	0.639195i	−0.00488062	+	0.999988i	$0.501554\pi$
$158$	15.8125	+	4.87752i	1.25798	+	0.388035i
$159$	−10.0658	−	1.51717i	−0.798266	−	0.120319i
$160$	−0.495917	−	6.61755i	−0.0392057	−	0.523164i
$161$	−0.180471	−	0.459833i	−0.0142231	−	0.0362399i
$162$	1.14098	−	1.05868i	0.0896442	−	0.0831776i
$163$	6.04698	−	5.61078i	0.473636	−	0.439470i	−0.406883	−	0.913480i	$-0.633384\pi$
$163$	6.04698	−	5.61078i	0.473636	−	0.439470i	0.880519	+	0.474010i	$0.157194\pi$
$164$	−2.13990	−	0.660071i	−0.167098	−	0.0515429i
$165$	−14.0310	+	2.11484i	−1.09231	+	0.164640i
$166$	1.43884	−	3.66612i	0.111676	−	0.284546i
$167$	−1.78540	−	1.21727i	−0.138158	−	0.0941948i	0.492269	−	0.870443i	$-0.336168\pi$
$167$	−1.78540	−	1.21727i	−0.138158	−	0.0941948i	−0.630427	+	0.776249i	$0.717120\pi$
$168$	0.482277	+	0.328811i	0.0372085	+	0.0253683i
$169$	16.2031	+	20.3181i	1.24639	+	1.56293i
$170$	18.7945	+	12.8139i	1.44147	+	0.982779i
$171$	−1.16208	+	5.09142i	−0.0888667	+	0.389350i
$172$	−2.32666	−	0.717679i	−0.177406	−	0.0547225i
$173$	1.97397	−	5.02958i	0.150078	−	0.382392i	−0.835988	−	0.548748i	$-0.815105\pi$
$173$	1.97397	−	5.02958i	0.150078	−	0.382392i	0.986066	+	0.166356i	$0.0532000\pi$
$174$	−4.79773	−	12.2244i	−0.363715	−	0.926730i
$175$	−0.579831	+	0.395322i	−0.0438311	+	0.0298835i
$176$	−22.4391	−	6.92156i	−1.69141	−	0.521732i
$177$	−0.918380	−	12.2549i	−0.0690297	−	0.921137i
$178$	21.4579	+	19.9100i	1.60834	+	1.49232i
$179$	−11.5408	+	10.7083i	−0.862601	+	0.800377i	−0.981286	−	0.192555i	$-0.938323\pi$
$179$	−11.5408	+	10.7083i	−0.862601	+	0.800377i	0.118685	+	0.992932i	$0.462132\pi$
$180$	−0.0890640	+	1.18848i	−0.00663844	+	0.0885838i
$181$	2.50703	−	6.38781i	0.186346	−	0.474802i	−0.806919	−	0.590661i	$-0.798867\pi$
$181$	2.50703	−	6.38781i	0.186346	−	0.474802i	0.993266	+	0.115859i	$0.0369621\pi$
$182$	−0.172672	−	2.30414i	−0.0127993	−	0.170794i
$183$	2.79208	+	3.50116i	0.206396	+	0.258813i
$184$	−4.59597	+	2.21330i	−0.338820	+	0.163167i
$185$	−2.42385	−	0.747657i	−0.178205	−	0.0549689i
$186$	2.17015	+	9.50805i	0.159123	+	0.697164i
$187$	21.5472	−	14.6906i	1.57569	−	1.07429i
$188$	−0.630996			−0.0460201
$189$	−0.174281	−	0.161710i	−0.0126771	−	0.0117626i
$190$	−11.4607	−	19.8506i	−0.831449	−	1.44011i
$191$	4.37336	−	11.1431i	0.316445	−	0.806289i	−0.680825	−	0.732446i	$-0.738378\pi$
$191$	4.37336	−	11.1431i	0.316445	−	0.806289i	0.997270	−	0.0738429i	$-0.0235263\pi$
$192$	2.83520	−	4.91071i	0.204613	−	0.354400i
$193$	−11.9262	+	5.74334i	−0.858464	+	0.413414i	−0.810712	−	0.585445i	$-0.800920\pi$
$193$	−11.9262	+	5.74334i	−0.858464	+	0.413414i	−0.0477515	+	0.998859i	$0.515206\pi$
$194$	1.46691	−	19.5746i	0.105318	−	1.40537i
$195$	−14.5479	+	9.91861i	−1.04180	+	0.710287i
$196$	1.46731	−	2.54146i	0.104808	−	0.181533i
$197$	−6.30442	−	10.9196i	−0.449171	−	0.777988i	0.549161	−	0.835717i	$-0.314947\pi$
$197$	−6.30442	−	10.9196i	−0.449171	−	0.777988i	−0.998332	+	0.0577289i	$0.981614\pi$
$198$	7.05652	+	3.39824i	0.501485	+	0.241503i
$199$	−5.47489	+	2.63657i	−0.388105	+	0.186901i	−0.617753	−	0.786372i	$-0.711957\pi$
$199$	−5.47489	+	2.63657i	−0.388105	+	0.186901i	0.229648	+	0.973274i	$0.426242\pi$
$200$	4.51839	+	5.66588i	0.319498	+	0.400638i
$201$	3.70316	−	6.41405i	0.261200	−	0.452412i
$202$	15.2846	−	4.71469i	1.07542	−	0.331724i
$203$	−1.80725	+	0.870326i	−0.126844	+	0.0610849i
$204$	−0.800245	−	2.03899i	−0.0560283	−	0.142758i
$205$	14.2774	−	4.40399i	0.997176	−	0.307588i
$206$	3.26642	−	4.09596i	0.227582	−	0.285379i
$207$	1.98544	−	0.612428i	0.137998	−	0.0425667i
$208$	−28.8133	+	4.34290i	−1.99784	+	0.301126i
$209$	−25.9851	+	3.91662i	−1.79743	+	0.270918i
$210$	1.04350			0.0720084
$211$	−8.05583	−	12.0873i	−0.554586	−	0.832126i
$211$	−8.05583	−	12.0873i	−0.554586	−	0.832126i
$212$	−4.30229			−0.295482
$213$	8.72960	−	1.31578i	0.598143	−	0.0901555i
$214$	−1.74897	+	0.263616i	−0.119557	+	0.0180204i
$215$	15.5235	−	4.78835i	1.05869	−	0.326563i
$216$	−1.53075	+	1.91950i	−0.104154	+	0.130605i
$217$	1.42349	−	0.439088i	0.0966327	−	0.0298072i
$218$	−1.48749	−	3.79007i	−0.100746	−	0.256696i
$219$	−1.79109	+	0.862545i	−0.121031	+	0.0582854i
$220$	−5.73069	+	1.76768i	−0.386363	+	0.119177i
$221$	16.1802	−	28.0249i	1.08840	−	1.88516i
$222$	0.872939	+	1.09463i	0.0585879	+	0.0734668i
$223$	−9.57839	+	4.61271i	−0.641417	+	0.308890i	−0.726173	−	0.687512i	$-0.758703\pi$
$223$	−9.57839	+	4.61271i	−0.641417	+	0.308890i	0.0847566	+	0.996402i	$0.472989\pi$
$224$	0.504090	+	0.242757i	0.0336810	+	0.0162199i
$225$	−1.47587	−	2.55629i	−0.0983916	−	0.170419i
$226$	−14.9358	+	25.8695i	−0.993513	+	1.72082i
$227$	20.4182	−	13.9209i	1.35520	−	0.923961i	0.355261	−	0.934767i	$-0.384392\pi$
$227$	20.4182	−	13.9209i	1.35520	−	0.923961i	0.999942	+	0.0108061i	$0.00343976\pi$
$228$	−0.164944	+	2.20103i	−0.0109237	+	0.145767i
$229$	18.2414	−	8.78460i	1.20543	−	0.580503i	0.280209	−	0.959939i	$-0.409596\pi$
$229$	18.2414	−	8.78460i	1.20543	−	0.580503i	0.925218	+	0.379436i	$0.123882\pi$
$230$	−4.55973	+	7.89769i	−0.300660	+	0.520758i
$231$	0.437070	−	1.11364i	0.0287571	−	0.0732719i
$232$	10.3571	+	17.9390i	0.679974	+	1.17775i
$233$	−4.38144	−	4.06538i	−0.287038	−	0.266332i	0.523491	−	0.852031i	$-0.324629\pi$
$233$	−4.38144	−	4.06538i	−0.287038	−	0.266332i	−0.810528	+	0.585699i	$0.800820\pi$
$234$	9.71872			0.635333
$235$	3.47847	−	2.37158i	0.226910	−	0.154705i
$236$	−1.15577	−	5.06378i	−0.0752345	−	0.329624i
$237$	10.1591	+	3.13368i	0.659906	+	0.203554i
$238$	−1.72791	+	0.832116i	−0.112003	+	0.0539380i
$239$	−8.23480	−	10.3261i	−0.532665	−	0.667941i	0.440579	−	0.897714i	$-0.354773\pi$
$239$	−8.23480	−	10.3261i	−0.532665	−	0.667941i	−0.973244	+	0.229773i	$0.926202\pi$
$240$	−0.983407	−	13.1226i	−0.0634786	−	0.847063i
$241$	−9.97545	+	25.4170i	−0.642575	+	1.63725i	0.121855	+	0.992548i	$0.461116\pi$
$241$	−9.97545	+	25.4170i	−0.642575	+	1.63725i	−0.764430	+	0.644707i	$0.776979\pi$
$242$	−1.66571	+	22.2273i	−0.107076	+	1.42883i
$243$	0.733052	−	0.680173i	0.0470253	−	0.0436331i
$244$	1.38742	+	1.28734i	0.0888206	+	0.0824134i
$245$	1.46320	+	19.5251i	0.0934804	+	1.24741i
$246$	−7.88066	−	2.43086i	−0.502452	−	0.154986i
$247$	−26.9424	+	18.3690i	−1.71430	+	1.16879i
$248$	−5.62013	−	14.3199i	−0.356879	−	0.909313i
$249$	0.924419	−	2.35538i	0.0585827	−	0.149266i
$250$	−8.59059	−	2.64985i	−0.543317	−	0.167591i
$251$	−3.41638	+	14.9681i	−0.215640	+	0.944780i	0.745018	+	0.667045i	$0.232441\pi$
$251$	−3.41638	+	14.9681i	−0.215640	+	0.944780i	−0.960658	+	0.277736i	$0.910416\pi$
$252$	−0.0830228	−	0.0566040i	−0.00522994	−	0.00356571i
$253$	6.51867	+	8.17415i	0.409825	+	0.513904i
$254$	25.5678	+	17.4318i	1.60427	+	1.09377i
$255$	12.0750	+	8.23257i	0.756164	+	0.515544i
$256$	3.55199	−	9.05033i	0.221999	−	0.565645i
$257$	−13.1390	+	1.98039i	−0.819588	+	0.123533i	−0.545435	−	0.838153i	$-0.683636\pi$
$257$	−13.1390	+	1.98039i	−0.819588	+	0.123533i	−0.274153	+	0.961686i	$0.588397\pi$
$258$	−8.56844	−	2.64302i	−0.533448	−	0.164547i
$259$	0.156769	−	0.145461i	0.00974117	−	0.00903848i
$260$	−5.45514	+	5.06163i	−0.338313	+	0.313909i
$261$	−3.08241	−	7.85386i	−0.190796	−	0.486141i
$262$	−1.11597	−	14.8916i	−0.0689450	−	0.920007i
$263$	−11.4935	−	1.73236i	−0.708717	−	0.106822i	−0.215215	−	0.976567i	$-0.569045\pi$
$263$	−11.4935	−	1.73236i	−0.708717	−	0.106822i	−0.493502	+	0.869745i	$0.664283\pi$
$264$	−11.8052	−	3.64143i	−0.726561	−	0.224115i
$265$	23.7171	−	16.1700i	1.45693	−	0.993317i
$266$	1.93253			0.118491
$267$	13.7861	+	12.7917i	0.843697	+	0.782837i
$268$	1.14360	−	2.91386i	0.0698567	−	0.177992i
$269$	2.72814	+	11.9528i	0.166338	+	0.728773i	0.987440	+	0.157993i	$0.0505022\pi$
$269$	2.72814	+	11.9528i	0.166338	+	0.728773i	−0.821103	+	0.570781i	$0.806641\pi$
$270$	−0.327998	+	4.37683i	−0.0199613	+	0.266366i
$271$	−2.62735	+	11.5112i	−0.159600	+	0.699253i	0.830280	+	0.557346i	$0.188180\pi$
$271$	−2.62735	+	11.5112i	−0.159600	+	0.699253i	−0.989880	+	0.141907i	$0.954677\pi$
$272$	12.0928	+	20.9453i	0.733231	+	1.26999i
$273$	−0.110937	−	1.48035i	−0.00671421	−	0.0895949i
$274$	−4.00474	−	5.02179i	−0.241935	−	0.303377i
$275$	9.26072	−	11.6126i	0.558443	−	0.700265i
$276$	0.791186	−	0.381015i	0.0476238	−	0.0229344i
$277$	−21.8681	−	14.9094i	−1.31393	−	0.895821i	−0.315342	−	0.948978i	$-0.602119\pi$
$277$	−21.8681	−	14.9094i	−1.31393	−	0.895821i	−0.998586	+	0.0531573i	$0.983072\pi$
$278$	−3.33613	+	4.18337i	−0.200088	+	0.250902i
$279$	1.39426	+	6.10867i	0.0834724	+	0.365716i
$280$	−1.62759	+	0.245319i	−0.0972669	+	0.0146606i
$281$	−20.5959	−	3.10433i	−1.22865	−	0.185189i	−0.497533	−	0.867445i	$-0.665761\pi$
$281$	−20.5959	−	3.10433i	−1.22865	−	0.185189i	−0.731113	+	0.682257i	$0.760999\pi$
$282$	−2.32379			−0.138379
$283$	3.17882	−	2.94951i	0.188961	−	0.175330i	−0.580019	−	0.814603i	$-0.696955\pi$
$283$	3.17882	−	2.94951i	0.188961	−	0.175330i	0.768980	+	0.639273i	$0.220764\pi$
$284$	3.56543	−	1.09979i	0.211569	−	0.0652605i
$285$	−7.36321	−	12.7535i	−0.436159	−	0.755450i
$286$	17.8667	+	45.5235i	1.05648	+	2.69186i
$287$	−0.280312	+	1.22813i	−0.0165463	+	0.0724939i
$288$	−1.17666	+	2.03804i	−0.0693356	+	0.120093i
$289$	−9.74939	−	1.46948i	−0.573494	−	0.0864403i
$290$	33.3640	+	16.0673i	1.95920	+	0.943502i
$291$	0.942453	−	12.5762i	0.0552476	−	0.737227i
$292$	−0.694208	+	0.473303i	−0.0406254	+	0.0276980i
$293$	−17.0180	−	8.19543i	−0.994201	−	0.478782i	−0.135234	−	0.990814i	$-0.543179\pi$
$293$	−17.0180	−	8.19543i	−0.994201	−	0.478782i	−0.858967	+	0.512032i	$0.828893\pi$
$294$	5.40371	−	9.35950i	0.315151	−	0.545857i
$295$	25.4035	+	23.5710i	1.47905	+	1.37236i
$296$	−1.61890	−	1.50212i	−0.0940964	−	0.0873087i
$297$	4.53363	+	2.18328i	0.263068	+	0.126687i
$298$	−0.937317	−	4.10666i	−0.0542973	−	0.237892i
$299$	11.6887	+	5.62900i	0.675977	+	0.325533i
$300$	−0.777829	−	0.975367i	−0.0449080	−	0.0563128i
$301$	−0.304776	+	1.33531i	−0.0175670	+	0.0769660i
$302$	0.484566	−	6.46609i	0.0278837	−	0.372082i
$303$	9.81997	−	3.02906i	0.564143	−	0.174015i
$304$	−1.82124	−	24.3028i	−0.104455	−	1.39386i
$305$	−12.4868	−	1.88208i	−0.714993	−	0.107768i
$306$	−2.94708	−	7.50905i	−0.168474	−	0.429264i
$307$	4.94111	−	6.19596i	0.282004	−	0.353622i	−0.620574	−	0.784148i	$-0.713100\pi$
$307$	4.94111	−	6.19596i	0.282004	−	0.353622i	0.902578	+	0.430526i	$0.141672\pi$
$308$	0.112512	−	0.492947i	0.00641096	−	0.0280883i
$309$	2.09859	−	2.63154i	0.119384	−	0.149703i
$310$	−22.7225	−	15.4919i	−1.29055	−	0.879882i
$311$	7.91947	+	13.7169i	0.449072	+	0.777816i	0.998326	−	0.0578400i	$-0.0184213\pi$
$311$	7.91947	+	13.7169i	0.449072	+	0.777816i	−0.549254	+	0.835656i	$0.685088\pi$
$312$	−15.1587	+	2.28480i	−0.858190	+	0.129351i
$313$	4.17231	+	18.2801i	0.235833	+	1.03325i	0.944707	+	0.327917i	$0.106347\pi$
$313$	4.17231	+	18.2801i	0.235833	+	1.03325i	−0.708874	+	0.705336i	$0.750796\pi$
$314$	−16.2221	+	15.0519i	−0.915467	+	0.849429i
$315$	0.670421			0.0377740
$316$	4.44314	+	0.669696i	0.249946	+	0.0376733i
$317$	9.74687	+	1.46910i	0.547439	+	0.0825131i	0.416938	−	0.908935i	$-0.363103\pi$
$317$	9.74687	+	1.46910i	0.547439	+	0.0825131i	0.130501	+	0.991448i	$0.458341\pi$
$318$	−15.8442			−0.888496
$319$	31.1217	−	28.8767i	1.74248	−	1.61678i
$320$	3.55808	+	15.5890i	0.198903	+	0.871451i
$321$	−1.12367	+	0.169366i	−0.0627171	+	0.00945309i
$322$	−0.384436	−	0.665863i	−0.0214238	−	0.0371071i
$323$	22.3625	+	15.2465i	1.24428	+	0.848338i
$324$	0.263515	−	0.330437i	0.0146397	−	0.0183576i
$325$	4.10124	−	17.9687i	0.227496	−	0.996723i
$326$	8.00531	−	10.0383i	0.443373	−	0.555972i
$327$	−0.955674	−	2.43502i	−0.0528489	−	0.134657i
$328$	12.8632	+	1.93882i	0.710253	+	0.107053i
$329$	0.0265255	+	0.353958i	0.00146240	+	0.0195143i
$330$	−21.1045	+	6.50989i	−1.16177	+	0.358358i
$331$	2.06284	−	27.5266i	0.113384	−	1.51300i	−0.593018	−	0.805189i	$-0.702064\pi$
$331$	2.06284	−	27.5266i	0.113384	−	1.51300i	0.706402	−	0.707811i	$-0.250317\pi$
$332$	0.237967	−	1.04260i	0.0130601	−	0.0572202i
$333$	0.560840	+	0.703271i	0.0307339	+	0.0385390i
$334$	−3.03029	−	1.45931i	−0.165810	−	0.0798500i
$335$	4.64734	+	20.3613i	0.253911	+	1.11246i
$336$	0.999614	+	0.481389i	0.0545334	+	0.0262619i
$337$	−21.8109	−	20.2375i	−1.18811	−	1.10241i	−0.992565	−	0.121714i	$-0.961161\pi$
$337$	−21.8109	−	20.2375i	−1.18811	−	1.10241i	−0.195548	−	0.980694i	$-0.562649\pi$
$338$	29.6517	+	27.5127i	1.61284	+	1.49649i
$339$	−9.59584	+	16.6205i	−0.521174	+	0.902701i
$340$	5.56500	+	2.67997i	0.301805	+	0.145342i
$341$	−26.0505	+	17.7609i	−1.41071	+	0.961807i
$342$	−0.607444	+	8.10578i	−0.0328468	+	0.438310i
$343$	−2.98674	−	1.43834i	−0.161269	−	0.0776629i
$344$	13.9859	+	2.10803i	0.754068	+	0.113657i
$345$	−2.92951	+	5.07406i	−0.157719	+	0.273178i
$346$	1.87136	−	8.19896i	0.100605	−	0.440779i
$347$	−2.03449	−	5.18378i	−0.109217	−	0.278280i	0.865808	−	0.500377i	$-0.166805\pi$
$347$	−2.03449	−	5.18378i	−0.109217	−	0.278280i	−0.975025	+	0.222097i	$0.928710\pi$
$348$	−1.78294	−	3.08815i	−0.0955758	−	0.165542i
$349$	19.9217	−	6.14502i	1.06638	−	0.328935i	0.288587	−	0.957454i	$-0.406814\pi$
$349$	19.9217	−	6.14502i	1.06638	−	0.328935i	0.777795	+	0.628518i	$0.216338\pi$
$350$	−0.800710	+	0.742951i	−0.0427998	+	0.0397124i
$351$	6.24402			0.333281
$352$	−11.7096	−	1.76493i	−0.624121	−	0.0940712i
$353$	−0.854632	+	0.128815i	−0.0454875	+	0.00685614i	−0.171747	−	0.985141i	$-0.554941\pi$
$353$	−0.854632	+	0.128815i	−0.0454875	+	0.00685614i	0.126259	+	0.991997i	$0.459703\pi$
$354$	−4.25640	−	18.6485i	−0.226225	−	0.991158i
$355$	−15.5215	+	19.4633i	−0.823795	+	1.03301i
$356$	6.56733	+	4.47753i	0.348068	+	0.237308i
$357$	−1.11013	+	0.534612i	−0.0587545	+	0.0282947i
$358$	−15.2783	+	19.1584i	−0.807485	+	1.01255i
$359$	21.0577	+	26.4055i	1.11138	+	1.39363i	0.910247	+	0.414065i	$0.135891\pi$
$359$	21.0577	+	26.4055i	1.11138	+	1.39363i	0.201134	+	0.979564i	$0.435537\pi$
$360$	−0.517370	−	6.90382i	−0.0272678	−	0.363863i
$361$	−4.13647	−	7.16458i	−0.217709	−	0.377083i
$362$	2.37671	−	10.4131i	0.124917	−	0.547299i
$363$	−1.07017	+	14.2805i	−0.0561695	+	0.749529i
$364$	−0.139613	−	0.611686i	−0.00731773	−	0.0320611i
$365$	2.04804	−	5.21832i	0.107199	−	0.273139i
$366$	5.10950	+	4.74092i	0.267078	+	0.247812i
$367$	24.2301			1.26480			0.632401	−	0.774641i	$-0.282069\pi$
$367$	24.2301			1.26480			0.632401	+	0.774641i	$0.282069\pi$
$368$	−8.01134	+	5.46204i	−0.417620	+	0.284728i
$369$	−5.06311	−	1.56176i	−0.263575	−	0.0813022i
$370$	−3.90398	−	0.588431i	−0.202958	−	0.0305911i
$371$	0.180857	+	2.41337i	0.00938964	+	0.125296i
$372$	0.967493	+	2.46513i	0.0501622	+	0.127811i
$373$	−11.6621	+	10.8208i	−0.603840	+	0.560281i	−0.921723	−	0.387849i	$-0.873218\pi$
$373$	−11.6621	+	10.8208i	−0.603840	+	0.560281i	0.317884	+	0.948130i	$0.397028\pi$
$374$	29.7553	−	27.6089i	1.53861	−	1.42762i
$375$	−5.51923	−	1.70246i	−0.285012	−	0.0879144i
$376$	3.62450	−	0.546305i	0.186919	−	0.0281735i
$377$	19.2466	−	49.0396i	0.991252	−	2.52567i
$378$	−0.305750	−	0.208457i	−0.0157261	−	0.0107219i
$379$	−12.7691	−	8.70583i	−0.655905	−	0.447188i	0.189092	−	0.981959i	$-0.439445\pi$
$379$	−12.7691	−	8.70583i	−0.655905	−	0.447188i	−0.844997	+	0.534771i	$0.820398\pi$
$380$	−3.88063	−	4.86615i	−0.199072	−	0.249628i
$381$	16.4266	+	11.1995i	0.841563	+	0.573768i
$382$	4.14603	−	18.1649i	0.212129	−	0.929400i
$383$	23.1159	+	7.13032i	1.18117	+	0.364342i	0.822305	−	0.569048i	$-0.192688\pi$
$383$	23.1159	+	7.13032i	1.18117	+	0.364342i	0.358864	+	0.933390i	$0.383164\pi$
$384$	4.94400	−	12.5971i	0.252297	−	0.642843i
$385$	1.23249	+	3.14032i	0.0628133	+	0.160046i
$386$	−17.0232	+	11.6062i	−0.866458	+	0.590741i
$387$	−5.50500	−	1.69807i	−0.279835	−	0.0863176i
$388$	−0.398323	−	5.31525i	−0.0202218	−	0.269841i
$389$	4.33021	+	4.01785i	0.219550	+	0.203713i	0.782278	−	0.622929i	$-0.214058\pi$
$389$	4.33021	+	4.01785i	0.219550	+	0.203713i	−0.562728	+	0.826642i	$0.690248\pi$
$390$	−20.0898	+	18.6406i	−1.01729	+	0.943903i
$391$	0.804707	−	10.7381i	0.0406958	−	0.543048i
$392$	−6.22802	+	15.8687i	−0.314562	+	0.801492i
$393$	−0.716982	−	9.56746i	−0.0361670	−	0.482615i
$394$	−12.2363	−	15.3438i	−0.616455	−	0.773010i
$395$	−27.0106	+	13.0076i	−1.35905	+	0.654484i
$396$	2.03224	+	0.626863i	0.102124	+	0.0315011i
$397$	2.50011	+	10.9537i	0.125477	+	0.549751i	0.998114	+	0.0613819i	$0.0195507\pi$
$397$	2.50011	+	10.9537i	0.125477	+	0.549751i	−0.872637	+	0.488369i	$0.837592\pi$
$398$	−7.81477	+	5.32802i	−0.391719	+	0.267069i
$399$	1.24160			0.0621578
$400$	10.0977	+	9.36925i	0.504883	+	0.468463i
$401$	−12.7991	−	22.1687i	−0.639156	−	1.10705i	−0.985618	−	0.168986i	$-0.945951\pi$
$401$	−12.7991	−	22.1687i	−0.639156	−	1.10705i	0.346463	−	0.938064i	$-0.387383\pi$
$402$	4.21158	−	10.7309i	0.210055	−	0.535210i
$403$	−19.5618	+	33.8820i	−0.974441	+	1.68778i
$404$	3.91320	−	1.88450i	0.194689	−	0.0937572i
$405$	−0.210730	+	2.81200i	−0.0104713	+	0.139729i
$406$	−2.57964	+	1.75877i	−0.128025	+	0.0872862i
$407$	−2.26316	+	3.91991i	−0.112181	+	0.194303i
$408$	6.36200	+	11.0193i	0.314966	+	0.545537i
$409$	21.2790	+	10.2474i	1.05218	+	0.506702i	0.878322	−	0.478069i	$-0.158663\pi$
$409$	21.2790	+	10.2474i	1.05218	+	0.506702i	0.173855	+	0.984771i	$0.444378\pi$
$410$	20.9527	−	10.0903i	1.03478	−	0.498324i
$411$	−2.57294	−	3.22636i	−0.126914	−	0.159145i
$412$	0.711284	−	1.23198i	0.0350424	−	0.0606953i
$413$	−2.79195	+	0.861201i	−0.137383	+	0.0423770i
$414$	2.91372	−	1.40317i	0.143202	−	0.0689622i
$415$	2.60676	+	6.64190i	0.127961	+	0.326038i
$416$	−14.0414	+	4.33120i	−0.688436	+	0.212354i
$417$	−2.14337	+	2.68771i	−0.104962	+	0.131618i
$418$	−39.0851	+	12.0561i	−1.91171	+	0.589685i
$419$	−17.6521	+	2.66062i	−0.862361	+	0.129980i	−0.565307	−	0.824881i	$-0.691242\pi$
$419$	−17.6521	+	2.66062i	−0.862361	+	0.129980i	−0.297054	+	0.954861i	$0.596004\pi$
$420$	0.280185	−	0.0422311i	0.0136716	−	0.00206067i
$421$	10.7749			0.525134			0.262567	−	0.964914i	$-0.415431\pi$
$421$	10.7749			0.525134			0.262567	+	0.964914i	$0.415431\pi$
$422$	−15.2028	−	16.7348i	−0.740059	−	0.814638i
$423$	−1.49297			−0.0725907
$424$	24.7127	−	3.72484i	1.20016	−	0.180894i
$425$	−15.1269	+	2.28002i	−0.733764	+	0.110597i
$426$	13.1305	−	4.05022i	0.636175	−	0.196234i
$427$	0.663810	−	0.832392i	0.0321240	−	0.0402823i
$428$	−0.458940	+	0.141564i	−0.0221837	+	0.00684277i
$429$	11.4789	+	29.2477i	0.554205	+	1.41209i
$430$	22.7813	−	10.9709i	1.09861	−	0.529065i
$431$	35.2993	−	10.8884i	1.70031	−	0.524476i	0.715574	−	0.698537i	$-0.246165\pi$
$431$	35.2993	−	10.8884i	1.70031	−	0.524476i	0.984735	+	0.174061i	$0.0556891\pi$
$432$	−2.33333	+	4.04145i	−0.112262	+	0.194444i
$433$	−1.89650	−	2.37814i	−0.0911401	−	0.114286i	0.734170	−	0.678965i	$-0.237571\pi$
$433$	−1.89650	−	2.37814i	−0.0911401	−	0.114286i	−0.825310	+	0.564679i	$0.809000\pi$
$434$	2.08903	−	1.00602i	0.100277	−	0.0482907i
$435$	21.4355	+	10.3228i	1.02775	+	0.494940i
$436$	−0.552786	−	0.957453i	−0.0264736	−	0.0458537i
$437$	−5.42537	+	9.39702i	−0.259531	+	0.449520i
$438$	−2.55658	+	1.74304i	−0.122158	+	0.0832859i
$439$	0.0932209	−	1.24395i	0.00444919	−	0.0593703i	−0.994537	−	0.104382i	$-0.966713\pi$
$439$	0.0932209	−	1.24395i	0.00444919	−	0.0593703i	0.998986	+	0.0450118i	$0.0143325\pi$
$440$	31.3871	−	15.1152i	1.49632	−	0.720591i
$441$	3.47174	−	6.01323i	0.165321	−	0.286344i
$442$	18.4016	−	46.8866i	0.875277	−	2.23017i
$443$	−14.8002	−	25.6347i	−0.703179	−	1.21794i	−0.967345	−	0.253464i	$-0.918430\pi$
$443$	−14.8002	−	25.6347i	−0.703179	−	1.21794i	0.264166	−	0.964477i	$-0.414903\pi$
$444$	0.278689	+	0.258586i	0.0132260	+	0.0122719i
$445$	−53.0321			−2.51396
$446$	−13.6720	+	9.32144i	−0.647390	+	0.441383i
$447$	−0.602202	−	2.63842i	−0.0284832	−	0.124793i
$448$	−1.28823	−	0.397367i	−0.0608632	−	0.0187738i
$449$	−1.81875	+	0.875863i	−0.0858320	+	0.0413345i	−0.476307	−	0.879279i	$-0.658025\pi$
$449$	−1.81875	+	0.875863i	−0.0858320	+	0.0413345i	0.390475	+	0.920613i	$0.372311\pi$
$450$	−2.86453	−	3.59201i	−0.135035	−	0.169329i
$451$	−1.99244	−	26.5873i	−0.0938204	−	1.25195i
$452$	−2.96338	+	7.55056i	−0.139385	+	0.355148i
$453$	0.311321	−	4.15429i	0.0146271	−	0.195186i
$454$	28.1962	−	26.1623i	1.32331	−	1.22786i
$455$	3.06865	+	2.84729i	0.143860	+	0.133483i
$456$	−0.958155	−	12.7857i	−0.0448697	−	0.598745i
$457$	−32.0897	−	9.89835i	−1.50109	−	0.463025i	−0.568111	−	0.822952i	$-0.692326\pi$
$457$	−32.0897	−	9.89835i	−1.50109	−	0.463025i	−0.932981	+	0.359927i	$0.882802\pi$
$458$	26.0375	−	17.7521i	1.21665	−	0.829499i
$459$	−1.89342	−	4.82436i	−0.0883774	−	0.225182i
$460$	−0.904687	+	2.30511i	−0.0421813	+	0.107476i
$461$	39.0949	+	12.0592i	1.82083	+	0.561651i	0.999955	−	0.00945865i	$-0.00301083\pi$
$461$	39.0949	+	12.0592i	1.82083	+	0.561651i	0.820874	+	0.571110i	$0.193487\pi$
$462$	0.414351	−	1.81539i	0.0192773	−	0.0844596i
$463$	19.7198	+	13.4448i	0.916459	+	0.624831i	0.926979	−	0.375114i	$-0.122396\pi$
$463$	19.7198	+	13.4448i	0.916459	+	0.624831i	−0.0105202	+	0.999945i	$0.503349\pi$
$464$	24.5487	+	30.7830i	1.13964	+	1.42907i
$465$	−14.5986	−	9.95315i	−0.676993	−	0.461566i
$466$	−7.68657	−	5.24062i	−0.356074	−	0.242767i
$467$	−9.49719	+	24.1985i	−0.439478	+	1.11977i	0.523937	+	0.851757i	$0.324463\pi$
$467$	−9.49719	+	24.1985i	−0.439478	+	1.11977i	−0.963415	+	0.268014i	$0.913633\pi$
$468$	2.60953	−	0.393323i	0.120625	−	0.0181814i
$469$	−1.68260	−	0.519015i	−0.0776955	−	0.0239659i
$470$	4.80355	−	4.45704i	0.221571	−	0.205588i
$471$	−10.4223	+	9.67046i	−0.480233	+	0.445591i
$472$	11.0230	+	28.0861i	0.507375	+	1.29277i
$473$	−2.16633	−	28.9077i	−0.0996080	−	1.32918i
$474$	16.3629	+	2.46631i	0.751572	+	0.113281i
$475$	14.7302	+	4.54367i	0.675869	+	0.208478i
$476$	−0.430275	+	0.293357i	−0.0197216	+	0.0134460i
$477$	−10.1794			−0.466085
$478$	−15.0697	−	13.9826i	−0.689270	−	0.639549i
$479$	−9.46440	+	24.1149i	−0.432439	+	1.10184i	0.534123	+	0.845407i	$0.320642\pi$
$479$	−9.46440	+	24.1149i	−0.432439	+	1.10184i	−0.966563	+	0.256431i	$0.917453\pi$
$480$	−1.47667	−	6.46973i	−0.0674006	−	0.295301i
$481$	−0.419730	+	5.60090i	−0.0191380	+	0.255379i
$482$	−9.45692	+	41.4335i	−0.430751	+	1.88724i
$483$	−0.246990	−	0.427800i	−0.0112384	−	0.0194656i
$484$	0.452302	+	6.03556i	0.0205592	+	0.274343i
$485$	22.1730	+	27.8041i	1.00682	+	1.26252i
$486$	0.970452	−	1.21691i	0.0440206	−	0.0552001i
$487$	−7.66978	+	3.69357i	−0.347551	+	0.167372i	−0.599512	−	0.800366i	$-0.704639\pi$
$487$	−7.66978	+	3.69357i	−0.347551	+	0.167372i	0.251961	+	0.967737i	$0.418924\pi$
$488$	−9.08403	−	6.19338i	−0.411215	−	0.280361i
$489$	5.14320	−	6.44937i	0.232583	−	0.291650i
$490$	6.78147	+	29.7116i	0.306356	+	1.34223i
$491$	−40.8428	+	6.15606i	−1.84321	+	0.277819i	−0.975621	−	0.219464i	$-0.929569\pi$
$491$	−40.8428	+	6.15606i	−1.84321	+	0.277819i	−0.867589	+	0.497283i	$0.834331\pi$
$492$	−2.21437	−	0.333763i	−0.0998317	−	0.0150472i
$493$	−43.7261			−1.96933
$494$	−37.2057	+	34.5219i	−1.67397	+	1.55321i
$495$	−13.5591	+	4.18243i	−0.609437	+	0.187986i
$496$	−14.6201	−	25.3227i	−0.656462	−	1.13702i
$497$	−0.766809	−	1.95380i	−0.0343961	−	0.0876398i
$498$	0.876367	−	3.83962i	0.0392710	−	0.172057i
$499$	−2.92143	+	5.06007i	−0.130781	+	0.226520i	−0.923978	−	0.382446i	$-0.875082\pi$
$499$	−2.92143	+	5.06007i	−0.130781	+	0.226520i	0.793197	+	0.608966i	$0.208415\pi$
$500$	−2.41386	−	0.363831i	−0.107951	−	0.0162710i
$501$	−1.94688	−	0.937569i	−0.0869803	−	0.0418875i
$502$	−1.78581	+	23.8300i	−0.0797047	+	1.06358i
$503$	4.23343	−	2.88630i	0.188759	−	0.128694i	−0.465253	−	0.885178i	$-0.654037\pi$
$503$	4.23343	−	2.88630i	0.188759	−	0.128694i	0.654012	+	0.756484i	$0.273084\pi$
$504$	0.525897	+	0.253259i	0.0234253	+	0.0112810i
$505$	−14.4893	+	25.0962i	−0.644766	+	1.11677i
$506$	11.9291	+	11.0686i	0.530315	+	0.492060i
$507$	19.0504	+	17.6762i	0.846058	+	0.785027i
$508$	7.57057	+	3.64579i	0.335890	+	0.161756i
$509$	0.954646	+	4.18258i	0.0423140	+	0.185390i	0.991668	−	0.128818i	$-0.0411183\pi$
$509$	0.954646	+	4.18258i	0.0423140	+	0.185390i	−0.949354	+	0.314208i	$0.898261\pi$
$510$	20.4944	+	9.86958i	0.907507	+	0.437032i
$511$	0.294682	+	0.369520i	0.0130360	+	0.0163466i
$512$	−2.65519	+	11.6332i	−0.117344	+	0.514118i
$513$	−0.390267	+	5.20775i	−0.0172307	+	0.229928i
$514$	−19.7628	+	6.09602i	−0.871700	+	0.268884i
$515$	0.709291	+	9.46483i	0.0312551	+	0.417070i
$516$	−2.40764	−	0.362893i	−0.105990	−	0.0159755i
$517$	−2.74464	−	6.99324i	−0.120709	−	0.307562i
$518$	0.207539	−	0.260246i	0.00911875	−	0.0114346i
$519$	1.20230	−	5.26761i	0.0527750	−	0.231223i
$520$	26.9525	−	33.7974i	1.18195	−	1.48211i
$521$	25.3330	+	17.2717i	1.10986	+	0.756688i	0.972284	−	0.233804i	$-0.0751174\pi$
$521$	25.3330	+	17.2717i	1.10986	+	0.756688i	0.137573	+	0.990492i	$0.456070\pi$
$522$	−6.56609	−	11.3728i	−0.287390	−	0.497774i
$523$	−14.1855	+	2.13812i	−0.620290	+	0.0934936i	−0.451666	−	0.892187i	$-0.649170\pi$
$523$	−14.1855	+	2.13812i	−0.620290	+	0.0934936i	−0.168623	+	0.985681i	$0.553932\pi$
$524$	−0.902317	−	3.95331i	−0.0394179	−	0.172701i
$525$	−0.514435	+	0.477326i	−0.0224518	+	0.0208322i
$526$	−18.0915			−0.788825
$527$	32.1103	+	4.83986i	1.39875	+	0.210827i
$528$	−23.2201	−	3.49987i	−1.01053	−	0.152312i
$529$	−18.6830			−0.812302
$530$	32.7518	−	30.3892i	1.42265	−	1.32002i
$531$	−2.73463	−	11.9812i	−0.118673	−	0.519939i
$532$	0.518895	−	0.0782109i	0.0224970	−	0.00339087i
$533$	−16.5420	−	28.6516i	−0.716514	−	1.24104i
$534$	24.1857	+	16.4895i	1.04662	+	0.713571i
$535$	1.99792	−	2.50531i	0.0863775	−	0.108314i
$536$	−4.04620	+	17.7276i	−0.174769	+	0.765714i
$537$	−9.81593	+	12.3088i	−0.423588	+	0.531163i
$538$	6.97171	+	17.7636i	0.300572	+	0.765844i
$539$	34.5490	+	5.20742i	1.48813	+	0.224299i
$540$	0.0890640	+	1.18848i	0.00383270	+	0.0511439i
$541$	−17.5001	+	5.39808i	−0.752390	+	0.232082i	−0.647147	−	0.762365i	$-0.724038\pi$
$541$	−17.5001	+	5.39808i	−0.752390	+	0.232082i	−0.105243	+	0.994447i	$0.533562\pi$
$542$	−1.37337	+	18.3263i	−0.0589912	+	0.787183i
$543$	1.52698	−	6.69012i	0.0655288	−	0.287100i
$544$	7.60433	+	9.53552i	0.326033	+	0.408832i
$545$	6.64588	+	3.20049i	0.284678	+	0.137094i
$546$	−0.514158	−	2.25267i	−0.0220039	−	0.0964055i
$547$	36.8769	+	17.7590i	1.57674	+	0.759319i	0.998404	−	0.0564791i	$-0.0179874\pi$
$547$	36.8769	+	17.7590i	1.57674	+	0.759319i	0.578337	+	0.815798i	$0.303702\pi$
$548$	−1.27853	−	1.18630i	−0.0546160	−	0.0506763i
$549$	3.28271	+	3.04591i	0.140103	+	0.129996i
$550$	11.5593	−	20.0212i	0.492889	−	0.853709i
$551$	39.6979	+	19.1175i	1.69119	+	0.814434i
$552$	−4.21476	+	2.87358i	−0.179392	+	0.122308i
$553$	0.188888	−	2.52054i	0.00803234	−	0.107184i
$554$	−37.1159	−	17.8741i	−1.57691	−	0.759398i
$555$	−2.50821	−	0.378051i	−0.106467	−	0.0160474i
$556$	−0.726464	+	1.25827i	−0.0308089	+	0.0533626i
$557$	5.81104	−	25.4598i	0.246222	−	1.07877i	−0.689015	−	0.724747i	$-0.741957\pi$
$557$	5.81104	−	25.4598i	0.246222	−	1.07877i	0.935237	−	0.354022i	$-0.115186\pi$
$558$	3.56301	+	9.07840i	0.150834	+	0.384320i
$559$	−17.9857	−	31.1522i	−0.760715	−	1.31760i
$560$	−2.98963	+	0.922179i	−0.126335	+	0.0389692i
$561$	19.1170	−	17.7380i	0.807121	−	0.748898i
$562$	−32.4192			−1.36752
$563$	−31.9159	−	4.81054i	−1.34509	−	0.202740i	−0.563287	−	0.826261i	$-0.690463\pi$
$563$	−31.9159	−	4.81054i	−1.34509	−	0.202740i	−0.781807	+	0.623521i	$0.785702\pi$
$564$	−0.623948	+	0.0940451i	−0.0262730	+	0.00396001i
$565$	−12.0425	−	52.7615i	−0.506630	−	2.21969i
$566$	4.20829	−	5.27702i	0.176887	−	0.221810i
$567$	−0.196436	−	0.133928i	−0.00824955	−	0.00562445i
$568$	−19.5280	+	9.40417i	−0.819375	+	0.394590i
$569$	−4.73360	+	5.93575i	−0.198443	+	0.248840i	−0.871089	−	0.491124i	$-0.836586\pi$
$569$	−4.73360	+	5.93575i	−0.198443	+	0.248840i	0.672646	+	0.739964i	$0.265157\pi$
$570$	−14.2913	−	17.9207i	−0.598596	−	0.750616i
$571$	−1.03651	−	13.8312i	−0.0433765	−	0.578819i	−0.975972	−	0.217896i	$-0.930081\pi$
$571$	−1.03651	−	13.8312i	−0.0433765	−	0.578819i	0.932596	−	0.360923i	$-0.117538\pi$
$572$	6.63966	+	11.5002i	0.277618	+	0.480849i
$573$	2.66371	−	11.6705i	0.111278	−	0.487542i
$574$	−0.146525	+	1.95523i	−0.00611582	+	0.0816099i
$575$	−1.36472	−	5.97923i	−0.0569128	−	0.249351i
$576$	2.07163	−	5.27843i	0.0863180	−	0.219935i
$577$	−32.0472	−	29.7354i	−1.33414	−	1.23790i	−0.949089	−	0.315008i	$-0.897993\pi$
$577$	−32.0472	−	29.7354i	−1.33414	−	1.23790i	−0.385053	−	0.922894i	$-0.625817\pi$
$578$	−15.3462			−0.638317
$579$	−10.9370	+	7.45669i	−0.454524	+	0.309889i
$580$	9.60866	+	2.96388i	0.398978	+	0.123068i
$581$	−0.594852	−	0.0896595i	−0.0246786	−	0.00371970i
$582$	−1.46691	−	19.5746i	−0.0608055	−	0.811393i
$583$	−18.7137	−	47.6816i	−0.775041	−	1.97477i
$584$	3.57781	−	3.31973i	0.148051	−	0.137371i
$585$	−12.9072	+	11.9761i	−0.533645	+	0.495150i
$586$	−28.0936	−	8.66572i	−1.16053	−	0.357977i
$587$	25.7129	−	3.87560i	1.06129	−	0.159963i	0.404880	−	0.914370i	$-0.367313\pi$
$587$	25.7129	−	3.87560i	1.06129	−	0.159963i	0.656407	+	0.754407i	$0.272075\pi$
$588$	1.07214	−	2.73176i	0.0442142	−	0.112656i
$589$	−27.0362	−	18.4330i	−1.11401	−	0.759517i
$590$	44.5665	+	30.3849i	1.83477	+	1.25093i
$591$	−7.86148	−	9.85799i	−0.323378	−	0.405504i
$592$	−3.46834	−	2.36467i	−0.142548	−	0.0971875i
$593$	2.53612	−	11.1115i	0.104146	−	0.456293i	−0.895784	−	0.444489i	$-0.853385\pi$
$593$	2.53612	−	11.1115i	0.104146	−	0.456293i	0.999930	−	0.0118045i	$-0.00375757\pi$
$594$	7.48419	+	2.30857i	0.307080	+	0.0947216i
$595$	1.26939	−	3.23435i	0.0520399	−	0.132596i
$596$	−0.417873	−	1.06472i	−0.0171168	−	0.0436128i
$597$	−5.02078	+	3.42311i	−0.205487	+	0.140099i
$598$	19.2960	+	5.95201i	0.789070	+	0.243396i
$599$	−2.72748	−	36.3957i	−0.111442	−	1.48709i	−0.720218	−	0.693748i	$-0.755958\pi$
$599$	−2.72748	−	36.3957i	−0.111442	−	1.48709i	0.608776	−	0.793342i	$-0.291661\pi$
$600$	5.31237	+	4.92916i	0.216877	+	0.201232i
$601$	15.3164	−	14.2115i	0.624767	−	0.579699i	−0.302939	−	0.953010i	$-0.597968\pi$
$601$	15.3164	−	14.2115i	0.624767	−	0.579699i	0.927706	+	0.373310i	$0.121777\pi$
$602$	−0.159313	+	2.12588i	−0.00649310	+	0.0866443i
$603$	2.70583	−	6.89434i	0.110190	−	0.280759i
$604$	−0.131578	−	1.75579i	−0.00535384	−	0.0714420i
$605$	−25.1779	−	31.5720i	−1.02363	−	1.28359i
$606$	14.4112	−	6.94008i	0.585416	−	0.281922i
$607$	8.84550	+	2.72848i	0.359028	+	0.110745i	0.469021	−	0.883187i	$-0.344607\pi$
$607$	8.84550	+	2.72848i	0.359028	+	0.110745i	−0.109993	+	0.993932i	$0.535083\pi$
$608$	−2.73476	−	11.9818i	−0.110909	−	0.485925i
$609$	−1.65735	+	1.12996i	−0.0671592	+	0.0457884i
$610$	−19.6551			−0.795811
$611$	−6.83361	−	6.34067i	−0.276458	−	0.256516i
$612$	−1.09520	−	1.89695i	−0.0442709	−	0.0766795i
$613$	−11.2036	+	28.5464i	−0.452510	+	1.15298i	0.504625	+	0.863338i	$0.331631\pi$
$613$	−11.2036	+	28.5464i	−0.452510	+	1.15298i	−0.957136	+	0.289639i	$0.906465\pi$
$614$	6.16751	−	10.6824i	0.248901	−	0.431108i
$615$	13.4615	−	6.48274i	0.542822	−	0.261409i
$616$	−0.219494	+	2.92894i	−0.00884366	+	0.118010i
$617$	0.179787	−	0.122577i	0.00723795	−	0.00493475i	−0.559696	−	0.828698i	$-0.689082\pi$
$617$	0.179787	−	0.122577i	0.00723795	−	0.00493475i	0.566934	+	0.823763i	$0.308130\pi$
$618$	2.61946	−	4.53705i	0.105370	−	0.182507i
$619$	0.202633	+	0.350971i	0.00814451	+	0.0141067i	0.870069	−	0.492930i	$-0.164074\pi$
$619$	0.202633	+	0.350971i	0.00814451	+	0.0141067i	−0.861924	+	0.507037i	$0.830741\pi$
$620$	−6.72807	−	3.24007i	−0.270206	−	0.130124i
$621$	1.87199	−	0.901502i	0.0751203	−	0.0361760i
$622$	15.3709	+	19.2745i	0.616319	+	0.772839i
$623$	2.23560	−	3.87217i	0.0895674	−	0.155135i
$624$	−27.8442	+	8.58879i	−1.11466	+	0.343827i
$625$	27.9714	−	13.4703i	1.11886	−	0.538813i
$626$	10.6623	+	27.1670i	0.426150	+	1.08581i
$627$	−25.1111	+	7.74575i	−1.00284	+	0.309335i
$628$	−3.74656	+	4.69803i	−0.149504	+	0.187472i
$629$	4.45474	−	1.37411i	0.177622	−	0.0547892i
$630$	1.03185	−	0.155526i	0.0411097	−	0.00619629i
$631$	−19.7361	+	2.97474i	−0.785683	+	0.118423i	−0.529617	−	0.848237i	$-0.677664\pi$
$631$	−19.7361	+	2.97474i	−0.785683	+	0.118423i	−0.256066	+	0.966659i	$0.582426\pi$
$632$	−26.1016			−1.03827
$633$	−9.76738	−	10.7517i	−0.388218	−	0.427340i
$634$	15.3422			0.609317
$635$	−55.4366	+	8.35573i	−2.19994	+	0.331587i
$636$	−4.25424	+	0.641223i	−0.168691	+	0.0254261i
$637$	41.4291	−	12.7792i	1.64148	−	0.506329i
$638$	41.2005	−	51.6638i	1.63114	−	2.04539i
$639$	8.43599	−	2.60216i	0.333723	−	0.102940i
$640$	13.9415	+	35.5224i	0.551086	+	1.40414i
$641$	−41.5287	+	19.9992i	−1.64028	+	0.789919i	−0.640526	+	0.767936i	$0.721284\pi$
$641$	−41.5287	+	19.9992i	−1.64028	+	0.789919i	−0.999758	+	0.0219828i	$0.993002\pi$
$642$	−1.69015	+	0.521342i	−0.0667049	+	0.0205757i
$643$	19.5449	−	33.8527i	0.770775	−	1.33502i	−0.166364	−	0.986064i	$-0.553203\pi$
$643$	19.5449	−	33.8527i	0.770775	−	1.33502i	0.937139	−	0.348957i	$-0.113464\pi$
$644$	−0.130171	−	0.163229i	−0.00512946	−	0.00643214i
$645$	14.6364	−	7.04852i	0.576308	−	0.277535i
$646$	37.9551	+	18.2782i	1.49332	+	0.719146i
$647$	3.87550	+	6.71257i	0.152362	+	0.263898i	0.932095	−	0.362213i	$-0.117979\pi$
$647$	3.87550	+	6.71257i	0.152362	+	0.263898i	−0.779734	+	0.626111i	$0.784645\pi$
$648$	−1.22756	+	2.12620i	−0.0482233	+	0.0835252i
$649$	51.0939	−	34.8352i	2.00561	−	1.36740i
$650$	2.14380	−	28.6070i	0.0840867	−	1.12206i
$651$	1.34215	−	0.646344i	0.0526029	−	0.0253322i
$652$	1.74321	−	3.01932i	0.0682693	−	0.118246i
$653$	−7.61284	+	19.3972i	−0.297914	+	0.759071i	0.701031	+	0.713131i	$0.252724\pi$
$653$	−7.61284	+	19.3972i	−0.297914	+	0.759071i	−0.998944	+	0.0459403i	$0.985372\pi$
$654$	−2.03576	−	3.52604i	−0.0796045	−	0.137879i
$655$	19.8326	+	18.4019i	0.774923	+	0.719023i
$656$	24.7264			0.965402
$657$	−1.64253	+	1.11986i	−0.0640813	+	0.0436899i
$658$	0.122937	+	0.538623i	0.00479259	+	0.0209977i
$659$	−25.0820	−	7.73677i	−0.977056	−	0.301382i	−0.235204	−	0.971946i	$-0.575576\pi$
$659$	−25.0820	−	7.73677i	−0.977056	−	0.301382i	−0.741851	+	0.670564i	$0.766052\pi$
$660$	−5.40322	+	2.60205i	−0.210320	+	0.101285i
$661$	−18.3315	−	22.9870i	−0.713015	−	0.894092i	0.284905	−	0.958556i	$-0.408038\pi$
$661$	−18.3315	−	22.9870i	−0.713015	−	0.894092i	−0.997920	+	0.0644636i	$0.979466\pi$
$662$	−3.21077	−	42.8448i	−0.124790	−	1.66521i
$663$	11.8226	−	30.1234i	0.459151	−	1.16990i
$664$	−0.464238	+	6.19482i	−0.0180159	+	0.240406i
$665$	−2.56654	+	2.38140i	−0.0995262	+	0.0923468i
$666$	1.02634	+	0.952300i	0.0397697	+	0.0369009i
$667$	−1.31003	−	17.4811i	−0.0507245	−	0.676872i
$668$	−0.872708	−	0.269195i	−0.0337661	−	0.0104155i
$669$	−8.78392	+	5.98878i	−0.339606	+	0.231539i
$670$	11.8762	+	30.2600i	0.458817	+	1.16905i
$671$	−8.23252	+	20.9761i	−0.317813	+	0.809774i
$672$	0.534641	+	0.164915i	0.0206242	+	0.00636173i
$673$	−6.93831	+	30.3987i	−0.267452	+	1.17178i	0.645514	+	0.763749i	$0.276643\pi$
$673$	−6.93831	+	30.3987i	−0.267452	+	1.17178i	−0.912966	+	0.408036i	$0.866214\pi$
$674$	−38.2638	−	26.0879i	−1.47387	−	1.00487i
$675$	−1.84039	−	2.30777i	−0.0708365	−	0.0888261i
$676$	9.07508	+	6.18728i	0.349041	+	0.237972i
$677$	−13.0419	−	8.89178i	−0.501239	−	0.341739i	0.286161	−	0.958182i	$-0.407621\pi$
$677$	−13.0419	−	8.89178i	−0.501239	−	0.341739i	−0.787400	+	0.616443i	$0.788573\pi$
$678$	−10.9133	+	27.8066i	−0.419123	+	1.06791i
$679$	−2.96485	+	0.446879i	−0.113780	+	0.0171496i
$680$	−34.2861	−	10.5759i	−1.31481	−	0.405566i
$681$	18.1153	−	16.8086i	0.694181	−	0.644106i
$682$	−35.9741	+	33.3791i	−1.37752	+	1.27815i
$683$	−3.15217	−	8.03161i	−0.120615	−	0.307321i	0.857796	−	0.513990i	$-0.171833\pi$
$683$	−3.15217	−	8.03161i	−0.120615	−	0.307321i	−0.978411	+	0.206669i	$0.933738\pi$
$684$	0.164944	+	2.20103i	0.00630680	+	0.0841583i
$685$	11.5068	+	1.73437i	0.439651	+	0.0662668i
$686$	−4.93056	−	1.52088i	−0.188250	−	0.0580673i
$687$	16.7284	−	11.4052i	0.638228	−	0.435137i
$688$	26.8844			1.02496
$689$	−46.5933	−	43.2322i	−1.77506	−	1.64702i
$690$	−3.33172	+	8.48907i	−0.126836	+	0.323174i
$691$	3.78868	+	16.5993i	0.144128	+	0.631466i	0.994451	+	0.105204i	$0.0335497\pi$
$691$	3.78868	+	16.5993i	0.144128	+	0.631466i	−0.850323	+	0.526262i	$0.823593\pi$
$692$	0.170652	−	2.27720i	0.00648723	−	0.0865660i
$693$	0.266209	−	1.16634i	0.0101125	−	0.0443056i
$694$	−4.33382	−	7.50640i	−0.164510	−	0.284939i
$695$	−0.724429	−	9.66683i	−0.0274791	−	0.366684i
$696$	12.9150	+	16.1950i	0.489544	+	0.613868i
$697$	−17.1211	+	21.4692i	−0.648509	+	0.813204i
$698$	29.2359	−	14.0793i	1.10660	−	0.532908i
$699$	−4.93842	−	3.36696i	−0.186788	−	0.127350i
$700$	−0.184927	+	0.231891i	−0.00698959	+	0.00876466i
$701$	−11.4645	−	50.2294i	−0.433010	−	1.89714i	−0.441673	−	0.897176i	$-0.645615\pi$
$701$	−11.4645	−	50.2294i	−0.433010	−	1.89714i	0.00866324	−	0.999962i	$-0.497242\pi$
$702$	9.61017	−	1.44850i	0.362713	−	0.0546701i
$703$	−4.64513	−	0.700141i	−0.175194	−	0.0264063i
$704$	28.5332			1.07538
$705$	3.08615	−	2.86353i	0.116231	−	0.107847i
$706$	−1.28548	+	0.396519i	−0.0483798	+	0.0149232i
$707$	−1.22161	−	2.11589i	−0.0459434	−	0.0795763i
$708$	−1.89758	−	4.83496i	−0.0713155	−	0.181709i
$709$	−0.0975238	+	0.427280i	−0.00366258	+	0.0160468i	−0.976726	−	0.214490i	$-0.931191\pi$
$709$	−0.0975238	+	0.427280i	−0.00366258	+	0.0160468i	0.973064	+	0.230537i	$0.0740482\pi$
$710$	−19.3740	+	33.5567i	−0.727092	+	1.25936i
$711$	10.5127	+	1.58454i	0.394257	+	0.0594247i
$712$	−41.5999	−	20.0334i	−1.55902	−	0.750785i
$713$	−0.972888	+	12.9823i	−0.0364349	+	0.486190i
$714$	−1.58459	+	1.08035i	−0.0593016	+	0.0404312i
$715$	−79.8255	−	38.4419i	−2.98530	−	1.43765i
$716$	−3.32696	+	5.76246i	−0.124334	+	0.215353i
$717$	−9.68185	−	8.98345i	−0.361575	−	0.335493i
$718$	38.5355	+	35.7557i	1.43813	+	1.33439i
$719$	−22.9613	−	11.0576i	−0.856313	−	0.412379i	−0.0463962	−	0.998923i	$-0.514774\pi$
$719$	−22.9613	−	11.0576i	−0.856313	−	0.412379i	−0.809917	+	0.586544i	$0.800488\pi$
$720$	−2.92825	−	12.8295i	−0.109130	−	0.478128i
$721$	−0.720981	−	0.347206i	−0.0268507	−	0.0129306i
$722$	−8.02850	−	10.0674i	−0.298790	−	0.374670i
$723$	−6.07582	+	26.6199i	−0.225962	+	0.990005i
$724$	0.216737	−	2.89215i	0.00805495	−	0.107486i
$725$	−23.7977	+	7.34063i	−0.883825	+	0.272624i
$726$	1.66571	+	22.2273i	0.0618201	+	0.824933i
$727$	11.1574	+	1.68171i	0.413806	+	0.0623712i	0.352646	−	0.935757i	$-0.385282\pi$
$727$	11.1574	+	1.68171i	0.413806	+	0.0623712i	0.0611600	+	0.998128i	$0.480520\pi$
$728$	1.33154	+	3.39270i	0.0493501	+	0.125742i
$729$	0.623490	−	0.781831i	0.0230922	−	0.0289567i
$730$	1.94158	−	8.50662i	0.0718612	−	0.314844i
$731$	−18.6154	+	23.3429i	−0.688515	+	0.863370i
$732$	1.56379	+	1.06618i	0.0577995	+	0.0394070i
$733$	4.93129	+	8.54124i	0.182141	+	0.315478i	0.942609	−	0.333897i	$-0.108364\pi$
$733$	4.93129	+	8.54124i	0.182141	+	0.315478i	−0.760468	+	0.649375i	$0.775031\pi$
$734$	37.2926	−	5.62095i	1.37649	−	0.207473i
$735$	4.35692	+	19.0889i	0.160707	+	0.704104i
$736$	−3.58435	+	3.32579i	−0.132121	+	0.122590i
$737$	37.2682			1.37279
$738$	−8.15494	−	1.22916i	−0.300187	−	0.0452460i
$739$	−43.9872	−	6.63000i	−1.61810	−	0.243889i	−0.723355	−	0.690476i	$-0.757401\pi$
$739$	−43.9872	−	6.63000i	−1.61810	−	0.243889i	−0.894740	+	0.446587i	$0.852639\pi$
$740$	−1.07205			−0.0394095
$741$	−23.9037	+	22.1794i	−0.878124	+	0.814780i
$742$	0.838217	+	3.67247i	0.0307719	+	0.134821i
$743$	4.47356	−	0.674281i	0.164119	−	0.0247370i	−0.0664687	−	0.997789i	$-0.521173\pi$
$743$	4.47356	−	0.674281i	0.164119	−	0.0247370i	0.230588	+	0.973052i	$0.425935\pi$
$744$	−7.69163	−	13.3223i	−0.281989	−	0.488419i
$745$	6.30533	+	4.29890i	0.231009	+	0.157500i
$746$	−15.4389	+	19.3597i	−0.565257	+	0.708810i
$747$	0.563043	−	2.46685i	0.0206007	−	0.0902574i
$748$	6.87211	−	8.61735i	0.251269	−	0.315081i
$749$	0.0987033	+	0.251492i	0.00360654	+	0.00918931i
$750$	−8.88958	−	1.33989i	−0.324602	−	0.0489258i
$751$	1.61206	+	21.5115i	0.0588250	+	0.784965i	0.946131	+	0.323784i	$0.104955\pi$
$751$	1.61206	+	21.5115i	0.0588250	+	0.784965i	−0.887306	+	0.461181i	$0.847426\pi$
$752$	6.65766	−	2.05361i	0.242780	−	0.0748876i
$753$	−1.14734	+	15.3101i	−0.0418113	+	0.557933i
$754$	18.2462	−	79.9418i	0.664487	−	2.91131i
$755$	7.32442	+	9.18454i	0.266563	+	0.334260i
$756$	−0.0905319	−	0.0435978i	−0.00329261	−	0.00158564i
$757$	0.272889	+	1.19561i	0.00991833	+	0.0434551i	0.979645	−	0.200738i	$-0.0643340\pi$
$757$	0.272889	+	1.19561i	0.00991833	+	0.0434551i	−0.969727	+	0.244193i	$0.921477\pi$
$758$	−21.6725	−	10.4369i	−0.787181	−	0.379087i
$759$	7.66415	+	7.11129i	0.278191	+	0.258124i
$760$	26.5037	+	24.5918i	0.961390	+	0.892040i
$761$	−8.93169	+	15.4701i	−0.323773	+	0.560792i	−0.981263	−	0.192671i	$-0.938285\pi$
$761$	−8.93169	+	15.4701i	−0.323773	+	0.560792i	0.657490	+	0.753463i	$0.271618\pi$
$762$	27.8803	+	13.4265i	1.01000	+	0.486389i
$763$	−0.513846	+	0.350335i	−0.0186025	+	0.0126830i
$764$	0.378083	−	5.04517i	0.0136786	−	0.182528i
$765$	13.1671	+	6.34094i	0.476058	+	0.229257i
$766$	37.2318	+	5.61179i	1.34524	+	0.202762i
$767$	38.3673	−	66.4541i	1.38536	−	2.39952i
$768$	2.16344	−	9.47864i	0.0780663	−	0.342031i
$769$	0.166319	+	0.423775i	0.00599763	+	0.0152817i	0.933841	−	0.357688i	$-0.116435\pi$
$769$	0.166319	+	0.423775i	0.00599763	+	0.0152817i	−0.927844	+	0.372970i	$0.878340\pi$
$770$	2.62542	+	4.54736i	0.0946135	+	0.163875i
$771$	−12.6971	+	3.91653i	−0.457274	+	0.141050i
$772$	−4.10110	+	3.80527i	−0.147602	+	0.136955i
$773$	26.4978			0.953060			0.476530	−	0.879158i	$-0.341894\pi$
$773$	26.4978			0.953060			0.476530	+	0.879158i	$0.341894\pi$
$774$	−8.86666	−	1.33643i	−0.318706	−	0.0480371i
$775$	18.2884	−	2.75653i	0.656938	−	0.0990175i
$776$	6.88984	+	30.1864i	0.247331	+	1.08363i
$777$	0.133338	−	0.167201i	0.00478349	−	0.00599831i
$778$	7.59670	+	5.17934i	0.272355	+	0.185688i
$779$	24.9304	−	12.0059i	0.893225	−	0.430154i
$780$	−4.63981	+	5.81814i	−0.166132	+	0.208323i
$781$	27.6973	+	34.7314i	0.991088	+	1.24279i
$782$	−1.25251	−	16.7136i	−0.0447898	−	0.597679i
$783$	−4.21854	−	7.30673i	−0.150758	−	0.261121i
$784$	−7.21031	+	31.5904i	−0.257511	+	1.12823i
$785$	2.99609	−	39.9800i	0.106935	−	1.42695i
$786$	−3.32299	−	14.5590i	−0.118527	−	0.519301i
$787$	−2.79298	+	7.11641i	−0.0995591	+	0.253673i	−0.971972	−	0.235097i	$-0.924459\pi$
$787$	−2.79298	+	7.11641i	−0.0995591	+	0.253673i	0.872413	+	0.488770i	$0.162554\pi$
$788$	−3.90648	−	3.62468i	−0.139162	−	0.129124i
$789$	−11.6233			−0.413800
$790$	−38.5544	+	26.2860i	−1.37171	+	0.935213i
$791$	4.36007	+	1.34490i	0.155026	+	0.0478192i
$792$	−12.2161	−	1.84128i	−0.434080	−	0.0654271i
$793$	2.08958	+	27.8835i	0.0742030	+	0.990171i
$794$	6.38898	+	16.2789i	0.226737	+	0.577715i
$795$	21.0422	−	19.5243i	0.746288	−	0.692455i
$796$	−1.88268	+	1.74687i	−0.0667297	+	0.0619161i
$797$	19.9787	+	6.16263i	0.707684	+	0.218291i	0.627644	−	0.778500i	$-0.284019\pi$
$797$	19.9787	+	6.16263i	0.707684	+	0.218291i	0.0800392	+	0.996792i	$0.474495\pi$
$798$	1.91095	−	0.288029i	0.0676469	−	0.0101961i
$799$	−2.82682	+	7.20263i	−0.100006	+	0.254811i
$800$	5.73941	+	3.91306i	0.202919	+	0.138348i
$801$	15.5386	+	10.5941i	0.549031	+	0.374323i
$802$	−24.8418	−	31.1506i	−0.877195	−	1.09997i
$803$	−8.26514	−	5.63508i	−0.291670	−	0.198858i
$804$	0.696543	−	3.05176i	0.0245652	−	0.107627i
$805$	1.33108	+	0.410584i	0.0469145	+	0.0144712i
$806$	−22.2475	+	56.6857i	−0.783635	+	1.99667i
$807$	4.47914	+	11.4127i	0.157673	+	0.401745i
$808$	−20.8462	+	14.2127i	−0.733366	+	0.500000i
$809$	−40.5126	−	12.4965i	−1.42435	−	0.439352i	−0.515646	−	0.856802i	$-0.672448\pi$
$809$	−40.5126	−	12.4965i	−1.42435	−	0.439352i	−0.908700	+	0.417449i	$0.862924\pi$
$810$	0.327998	+	4.37683i	0.0115247	+	0.153786i
$811$	8.98837	+	8.33999i	0.315624	+	0.292856i	0.822036	−	0.569435i	$-0.192838\pi$
$811$	8.98837	+	8.33999i	0.315624	+	0.292856i	−0.506412	+	0.862292i	$0.669029\pi$
$812$	−0.621468	+	0.576638i	−0.0218092	+	0.0202360i
$813$	−0.882353	+	11.7742i	−0.0309455	+	0.412938i
$814$	−2.57389	+	6.55815i	−0.0902146	+	0.229863i
$815$	1.73832	+	23.1963i	0.0608908	+	0.812532i
$816$	15.0794	+	18.9090i	0.527885	+	0.661947i
$817$	27.1062	−	13.0537i	0.948327	−	0.456690i
$818$	35.1277	+	10.8355i	1.22821	+	0.378853i
$819$	−0.330333	−	1.44728i	−0.0115428	−	0.0505721i
$820$	5.21754	−	3.55726i	0.182205	−	0.124225i
$821$	−30.6451			−1.06952			−0.534761	−	0.845004i	$-0.679598\pi$
$821$	−30.6451			−1.06952			−0.534761	+	0.845004i	$0.679598\pi$
$822$	−4.70847	−	4.36882i	−0.164227	−	0.152380i
$823$	21.8369	+	37.8226i	0.761186	+	1.31841i	0.942240	+	0.334939i	$0.108716\pi$
$823$	21.8369	+	37.8226i	0.761186	+	1.31841i	−0.181054	+	0.983473i	$0.557951\pi$
$824$	−3.01905	+	7.69242i	−0.105174	+	0.267978i
$825$	7.42652	−	12.8631i	0.258558	−	0.447836i
$826$	−4.09730	+	1.97316i	−0.142563	+	0.0686549i
$827$	−2.82168	+	37.6526i	−0.0981193	+	1.30931i	0.703165	+	0.711027i	$0.251770\pi$
$827$	−2.82168	+	37.6526i	−0.0981193	+	1.30931i	−0.801284	+	0.598284i	$0.795849\pi$
$828$	0.725562	−	0.494679i	0.0252150	−	0.0171913i
$829$	−4.31073	+	7.46640i	−0.149718	+	0.259319i	−0.931123	−	0.364705i	$-0.881170\pi$
$829$	−4.31073	+	7.46640i	−0.149718	+	0.259319i	0.781405	+	0.624024i	$0.214503\pi$
$830$	5.55286	+	9.61783i	0.192743	+	0.333840i
$831$	−23.8460	−	11.4836i	−0.827209	−	0.398363i
$832$	31.8998	−	15.3621i	1.10593	−	0.532586i
$833$	−22.4365	−	28.1345i	−0.777379	−	0.974803i
$834$	−2.67537	+	4.63387i	−0.0926404	+	0.160458i
$835$	5.82271	−	1.79607i	0.201503	−	0.0621555i
$836$	−10.0066	+	4.81893i	−0.346086	+	0.166666i
$837$	2.28914	+	5.83263i	0.0791242	+	0.201605i
$838$	−26.5511	+	8.18993i	−0.917193	+	0.282916i
$839$	−1.20620	+	1.51253i	−0.0416426	+	0.0522182i	−0.802217	−	0.597033i	$-0.796346\pi$
$839$	−1.20620	+	1.51253i	−0.0416426	+	0.0522182i	0.760574	+	0.649251i	$0.224918\pi$
$840$	−1.57284	+	0.485158i	−0.0542683	+	0.0167396i
$841$	−41.7131	+	6.28725i	−1.43838	+	0.216802i
$842$	16.5836	−	2.49957i	0.571508	−	0.0861410i
$843$	−20.8285			−0.717371
$844$	−4.75929	−	3.87811i	−0.163821	−	0.133490i
$845$	−73.2826			−2.52100
$846$	−2.29783	+	0.346342i	−0.0790011	+	0.0119075i
$847$	3.36664	−	0.507439i	0.115679	−	0.0174358i
$848$	45.3936	−	14.0021i	1.55882	−	0.480833i
$849$	2.70371	−	3.39035i	0.0927911	−	0.116356i
$850$	−22.7529	+	7.01835i	−0.780419	+	0.240727i
$851$	0.682813	+	1.73978i	0.0234065	+	0.0596388i
$852$	3.36169	−	1.61890i	0.115170	−	0.0554627i
$853$	−28.8877	+	8.91066i	−0.989094	+	0.305095i	−0.746757	−	0.665097i	$-0.768390\pi$
$853$	−28.8877	+	8.91066i	−0.989094	+	0.305095i	−0.242337	+	0.970192i	$0.577914\pi$
$854$	0.828571	−	1.43513i	0.0283531	−	0.0491090i
$855$	−9.18178	−	11.5136i	−0.314010	−	0.393756i
$856$	2.51363	−	1.21050i	0.0859140	−	0.0413740i
$857$	10.5201	+	5.06623i	0.359361	+	0.173059i	0.604848	−	0.796341i	$-0.293234\pi$
$857$	10.5201	+	5.06623i	0.359361	+	0.173059i	−0.245488	+	0.969400i	$0.578948\pi$
$858$	24.4521	+	42.3522i	0.834779	+	1.44588i
$859$	25.3541	−	43.9145i	0.865070	−	1.49834i	−0.00190842	−	0.999998i	$-0.500607\pi$
$859$	25.3541	−	43.9145i	0.865070	−	1.49834i	0.866978	−	0.498346i	$-0.166059\pi$
$860$	5.67291	−	3.86772i	0.193445	−	0.131888i
$861$	−0.0941381	+	1.25619i	−0.00320822	+	0.0428107i
$862$	51.8033	−	24.9471i	1.76443	−	0.849703i
$863$	17.3924	−	30.1246i	0.592045	−	1.02545i	−0.401911	−	0.915679i	$-0.631654\pi$
$863$	17.3924	−	30.1246i	0.592045	−	1.02545i	0.993957	−	0.109774i	$-0.0350127\pi$
$864$	−0.859767	+	2.19065i	−0.0292499	+	0.0745274i
$865$	7.61803	+	13.1948i	0.259021	+	0.448637i
$866$	−3.47059	−	3.22024i	−0.117935	−	0.109428i
$867$	−9.85952			−0.334847
$868$	0.520201	−	0.354667i	0.0176568	−	0.0120382i
$869$	11.9042	+	52.1556i	0.403822	+	1.76926i
$870$	35.3861	+	10.9152i	1.19970	+	0.370058i
$871$	41.6654	−	20.0650i	1.41178	−	0.679877i
$872$	4.00419	+	5.02110i	0.135599	+	0.170036i
$873$	−0.942453	−	12.5762i	−0.0318972	−	0.425638i
$874$	−6.17025	+	15.7215i	−0.208712	+	0.531789i
$875$	−0.102619	+	1.36935i	−0.00346914	+	0.0462925i
$876$	−0.615912	+	0.571483i	−0.0208097	+	0.0193086i
$877$	−3.32525	−	3.08539i	−0.112286	−	0.104186i	0.622032	−	0.782992i	$-0.286307\pi$
$877$	−3.32525	−	3.08539i	−0.112286	−	0.104186i	−0.734318	+	0.678806i	$0.762498\pi$
$878$	−0.145097	−	1.93618i	−0.00489678	−	0.0653431i
$879$	−18.0494	−	5.56749i	−0.608790	−	0.187787i
$880$	54.7116	−	37.3017i	1.84433	−	1.25744i
$881$	−4.18461	−	10.6622i	−0.140983	−	0.359219i	0.842890	−	0.538085i	$-0.180852\pi$
$881$	−4.18461	−	10.6622i	−0.140983	−	0.359219i	−0.983873	+	0.178866i	$0.942757\pi$
$882$	3.94839	−	10.0603i	0.132949	−	0.338749i
$883$	37.2250	+	11.4824i	1.25272	+	0.386414i	0.848963	−	0.528452i	$-0.177227\pi$
$883$	37.2250	+	11.4824i	1.25272	+	0.386414i	0.403759	+	0.914866i	$0.367704\pi$
$884$	3.04340	−	13.3340i	0.102361	−	0.448472i
$885$	28.6328	+	19.5215i	0.962481	+	0.656209i
$886$	−28.7258	−	36.0210i	−0.965061	−	1.21015i
$887$	−34.4777	−	23.5065i	−1.15765	−	0.789271i	−0.176839	−	0.984240i	$-0.556587\pi$
$887$	−34.4777	−	23.5065i	−1.15765	−	0.789271i	−0.980809	+	0.194969i	$0.937539\pi$
$888$	−1.82469	−	1.24405i	−0.0612327	−	0.0417477i
$889$	1.72686	−	4.39998i	0.0579172	−	0.147571i
$890$	−81.6217	+	12.3025i	−2.73597	+	0.412381i
$891$	4.80839	+	1.48319i	0.161087	+	0.0496888i
$892$	−3.29377	+	3.05617i	−0.110283	+	0.102328i
$893$	5.71547	−	5.30318i	0.191261	−	0.177464i
$894$	−1.53891	−	3.92109i	−0.0514690	−	0.131141i
$895$	−3.31764	−	44.2708i	−0.110896	−	1.47981i
$896$	−3.18140	−	0.479519i	−0.106283	−	0.0160196i
$897$	12.3971	+	3.82401i	0.413928	+	0.127680i
$898$	−2.59605	+	1.76996i	−0.0866313	+	0.0590642i
$899$	52.8647			1.76314
$900$	−0.914512	−	0.848543i	−0.0304837	−	0.0282848i
$901$	−19.2740	+	49.1093i	−0.642110	+	1.63607i
$902$	−9.23433	−	40.4583i	−0.307470	−	1.34711i
$903$	−0.102354	+	1.36582i	−0.00340613	+	0.0454517i
$904$	10.4848	−	45.9367i	0.348718	−	1.52783i
$905$	9.67526	+	16.7580i	0.321617	+	0.557056i
$906$	−0.484566	−	6.46609i	−0.0160986	−	0.214821i
$907$	−4.41672	−	5.53839i	−0.146655	−	0.183899i	0.703078	−	0.711113i	$-0.251808\pi$
$907$	−4.41672	−	5.53839i	−0.146655	−	0.183899i	−0.849733	+	0.527213i	$0.823237\pi$
$908$	6.51203	−	8.16582i	0.216109	−	0.270992i
$909$	9.25883	−	4.45882i	0.307096	−	0.147890i
$910$	5.38347	+	3.67039i	0.178460	+	0.121672i
$911$	9.15515	−	11.4802i	0.303324	−	0.380356i	−0.606687	−	0.794941i	$-0.707502\pi$
$911$	9.15515	−	11.4802i	0.303324	−	0.380356i	0.910011	+	0.414585i	$0.136073\pi$
$912$	−5.42304	−	23.7599i	−0.179575	−	0.786769i
$913$	12.5901	−	1.89765i	0.416671	−	0.0628030i
$914$	−51.6855	−	7.79033i	−1.70960	−	0.257681i
$915$	−12.6279			−0.417464
$916$	6.27276	−	5.82027i	0.207258	−	0.192307i
$917$	−2.17968	+	0.672343i	−0.0719794	+	0.0222027i
$918$	−4.03333	−	6.98594i	−0.133120	−	0.230570i
$919$	18.7204	+	47.6988i	0.617528	+	1.57344i	0.806359	+	0.591427i	$0.201435\pi$
$919$	18.7204	+	47.6988i	0.617528	+	1.57344i	−0.188830	+	0.982010i	$0.560470\pi$
$920$	3.20088	−	14.0240i	0.105530	−	0.462357i
$921$	3.96246	−	6.86319i	0.130568	−	0.226150i
$922$	62.9684	+	9.49096i	2.07375	+	0.312568i
$923$	49.6646	+	23.9172i	1.63473	+	0.787244i
$924$	0.0377853	−	0.504210i	0.00124305	−	0.0165873i
$925$	2.19379	−	1.49570i	0.0721313	−	0.0491783i
$926$	33.4697	+	16.1182i	1.09988	+	0.529676i
$927$	1.68294	−	2.91493i	0.0552749	−	0.0957389i
$928$	14.5549	+	13.5050i	0.477788	+	0.443322i
$929$	−18.3788	−	17.0530i	−0.602988	−	0.559491i	0.318488	−	0.947927i	$-0.396825\pi$
$929$	−18.3788	−	17.0530i	−0.602988	−	0.559491i	−0.921476	+	0.388436i	$0.873016\pi$
$930$	−24.7776	−	11.9323i	−0.812491	−	0.391275i
$931$	8.06889	+	35.3521i	0.264447	+	1.15862i
$932$	−2.27597	−	1.09605i	−0.0745520	−	0.0359024i
$933$	9.87542	+	12.3834i	0.323307	+	0.405414i
$934$	−9.00352	+	39.4470i	−0.294604	+	1.29075i
$935$	−5.49556	+	73.3332i	−0.179724	+	2.39825i
$936$	−14.6488	+	4.51856i	−0.478812	+	0.147694i
$937$	−2.56880	−	34.2782i	−0.0839190	−	1.11982i	−0.867136	−	0.498072i	$-0.834041\pi$
$937$	−2.56880	−	34.2782i	−0.0839190	−	1.11982i	0.783217	−	0.621749i	$-0.213578\pi$
$938$	−2.71010	−	0.408482i	−0.0884879	−	0.0133374i
$939$	6.85022	+	17.4541i	0.223548	+	0.569592i
$940$	1.10940	−	1.39114i	0.0361846	−	0.0453740i
$941$	−7.11363	+	31.1668i	−0.231898	+	1.01601i	0.716166	+	0.697930i	$0.245895\pi$
$941$	−7.11363	+	31.1668i	−0.231898	+	1.01601i	−0.948064	+	0.318080i	$0.896962\pi$
$942$	−13.7975	+	17.3016i	−0.449548	+	0.563716i
$943$	−9.09605	−	6.20158i	−0.296208	−	0.201951i
$944$	28.6750	+	49.6665i	0.933291	+	1.61651i
$945$	0.662933	−	0.0999211i	0.0215652	−	0.00325043i
$946$	−10.0403	−	43.9893i	−0.326437	−	1.43021i
$947$	37.8060	−	35.0789i	1.22853	−	1.13991i	0.243069	−	0.970009i	$-0.421846\pi$
$947$	37.8060	−	35.0789i	1.22853	−	1.13991i	0.985461	−	0.169901i	$-0.0543447\pi$
$948$	4.49333			0.145936
$949$	−12.2742	−	1.85005i	−0.398439	−	0.0600550i
$950$	23.7253	+	3.57602i	0.769751	+	0.116021i
$951$	9.85696			0.319634
$952$	2.21756	−	2.05759i	0.0718714	−	0.0666869i
$953$	8.36126	+	36.6331i	0.270848	+	1.18666i	0.909015	+	0.416764i	$0.136836\pi$
$953$	8.36126	+	36.6331i	0.270848	+	1.18666i	−0.638167	+	0.769898i	$0.720307\pi$
$954$	−15.6672	+	2.36145i	−0.507244	+	0.0764547i
$955$	16.8779	+	29.2334i	0.546156	+	0.945969i
$956$	−4.61216	−	3.14452i	−0.149168	−	0.101701i
$957$	26.4702	−	33.1926i	0.855661	−	1.07296i
$958$	−8.97243	+	39.3108i	−0.289886	+	1.27007i
$959$	−0.611711	+	0.767061i	−0.0197532	+	0.0247697i
$960$	5.84176	+	14.8846i	0.188542	+	0.480397i
$961$	−8.16752	−	1.23106i	−0.263468	−	0.0397115i
$962$	0.653303	+	8.71772i	0.0210633	+	0.281071i
$963$	−1.08588	+	0.334949i	−0.0349919	+	0.0107936i
$964$	−0.862392	+	11.5078i	−0.0277758	+	0.370642i
$965$	8.30602	−	36.3911i	0.267380	−	1.17147i
$966$	−0.479384	−	0.601129i	−0.0154239	−	0.0193410i
$967$	−7.25768	−	3.49511i	−0.233391	−	0.112395i	0.313533	−	0.949577i	$-0.398487\pi$
$967$	−7.25768	−	3.49511i	−0.233391	−	0.112395i	−0.546925	+	0.837182i	$0.684202\pi$
$968$	−7.82354	−	34.2772i	−0.251458	−	1.10171i
$969$	24.3851	+	11.7433i	0.783363	+	0.377248i
$970$	40.5765	+	37.6495i	1.30283	+	1.20885i
$971$	34.0915	+	31.6323i	1.09405	+	1.01513i	0.999808	+	0.0195786i	$0.00623246\pi$
$971$	34.0915	+	31.6323i	1.09405	+	1.01513i	0.0942396	+	0.995550i	$0.469958\pi$
$972$	0.211322	−	0.366021i	0.00677817	−	0.0117401i
$973$	0.736368	+	0.354616i	0.0236069	+	0.0113685i
$974$	−10.9477	+	7.46403i	−0.350787	+	0.239163i
$975$	1.37733	−	18.3792i	0.0441100	−	0.588607i
$976$	−18.8284	−	9.06730i	−0.602684	−	0.290237i
$977$	−16.6471	−	2.50915i	−0.532588	−	0.0802747i	−0.122758	−	0.992437i	$-0.539174\pi$
$977$	−16.6471	−	2.50915i	−0.532588	−	0.0802747i	−0.409830	+	0.912162i	$0.634412\pi$
$978$	6.41976	−	11.1193i	0.205281	−	0.355558i
$979$	−21.0579	+	92.2606i	−0.673013	+	2.94866i
$980$	3.02331	+	7.70326i	0.0965760	+	0.246072i
$981$	−1.30792	−	2.26539i	−0.0417587	−	0.0723282i
$982$	−61.4330	+	18.9496i	−1.96041	+	0.604706i
$983$	−14.3674	+	13.3310i	−0.458250	+	0.425194i	−0.875219	−	0.483727i	$-0.839283\pi$
$983$	−14.3674	+	13.3310i	−0.458250	+	0.425194i	0.416969	+	0.908921i	$0.363092\pi$
$984$	13.0085			0.414697
$985$	35.1584	+	5.29927i	1.12024	+	0.168849i
$986$	−67.2989	+	10.1437i	−2.14323	+	0.323041i
$987$	0.0789839	+	0.346051i	0.00251408	+	0.0110149i
$988$	−8.59281	+	10.7750i	−0.273374	+	0.342800i
$989$	−9.88991	−	6.74283i	−0.314481	−	0.214409i
$990$	−19.8986	+	9.58265i	−0.632418	+	0.304557i
$991$	−5.98747	+	7.50805i	−0.190198	+	0.238501i	−0.867783	−	0.496944i	$-0.834455\pi$
$991$	−5.98747	+	7.50805i	−0.190198	+	0.238501i	0.677584	+	0.735445i	$0.263027\pi$
$992$	−9.19360	−	11.5284i	−0.291897	−	0.366027i
$993$	−2.06284	−	27.5266i	−0.0654621	−	0.873531i
$994$	−1.63344	−	2.82920i	−0.0518096	−	0.0897369i
$995$	3.81301	−	16.7059i	0.120880	−	0.529612i
$996$	0.0799174	−	1.06642i	0.00253228	−	0.0337909i
$997$	−1.56773	−	6.86867i	−0.0496505	−	0.217533i	0.944016	−	0.329898i	$-0.107014\pi$
$997$	−1.56773	−	6.86867i	−0.0496505	−	0.217533i	−0.993667	+	0.112365i	$0.964157\pi$
$998$	−3.32253	+	8.46568i	−0.105173	+	0.267976i
$999$	0.659393	+	0.611828i	0.0208623	+	0.0193574i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	633.2.r.a.34.14	✓	204
211.180	even	21	inner	633.2.r.a.391.14	yes	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
633.2.r.a.34.14	✓	204	1.1	even	1	trivial
633.2.r.a.391.14	yes	204	211.180	even	21	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:	\( N \)	\(=\)	\( 633 = 3 \cdot 211 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	633.r (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(1.53910 - 0.231982i) q^{2} +(0.988831 - 0.149042i) q^{3} +(0.403868 - 0.124577i) q^{4} +(-1.75817 + 2.20467i) q^{5} +(1.48733 - 0.458782i) q^{6} +(-0.0868590 - 0.221313i) q^{7} +(-2.21200 + 1.06524i) q^{8} +(0.955573 - 0.294755i) q^{9} +O(q^{10})\)	\(q+(1.53910 - 0.231982i) q^{2} +(0.988831 - 0.149042i) q^{3} +(0.403868 - 0.124577i) q^{4} +(-1.75817 + 2.20467i) q^{5} +(1.48733 - 0.458782i) q^{6} +(-0.0868590 - 0.221313i) q^{7} +(-2.21200 + 1.06524i) q^{8} +(0.955573 - 0.294755i) q^{9} +(-2.19455 + 3.80108i) q^{10} +(3.13737 + 3.93413i) q^{11} +(0.380790 - 0.183379i) q^{12} +(5.62567 + 2.70918i) q^{13} +(-0.185025 - 0.320473i) q^{14} +(-1.40994 + 2.44209i) q^{15} +(-3.85578 + 2.62882i) q^{16} +(0.387297 - 5.16812i) q^{17} +(1.40234 - 0.675333i) q^{18} +(-2.61118 + 4.52269i) q^{19} +(-0.435417 + 1.10942i) q^{20} +(-0.118874 - 0.205896i) q^{21} +(5.74137 + 5.32721i) q^{22} +2.07775 q^{23} +(-2.02852 + 1.38302i) q^{24} +(-0.656826 - 2.87774i) q^{25} +(9.28695 + 2.86464i) q^{26} +(0.900969 - 0.433884i) q^{27} +(-0.0626500 - 0.0785606i) q^{28} +(-0.630504 - 8.41349i) q^{29} +(-1.60352 + 4.08570i) q^{30} +(-0.468241 + 6.24824i) q^{31} +(-1.72511 + 1.60067i) q^{32} +(3.68868 + 3.42259i) q^{33} +(-0.602823 - 8.04411i) q^{34} +(0.640636 + 0.197610i) q^{35} +(0.349205 - 0.238084i) q^{36} +(0.328631 + 0.837338i) q^{37} +(-2.96968 + 7.56661i) q^{38} +(5.96662 + 1.84046i) q^{39} +(1.54055 - 6.74960i) q^{40} +(-4.37783 - 2.98476i) q^{41} +(-0.230723 - 0.289317i) q^{42} +(-4.75991 - 3.24525i) q^{43} +(1.75718 + 1.19803i) q^{44} +(-1.03022 + 2.62496i) q^{45} +(3.19787 - 0.482001i) q^{46} +(-1.42664 - 0.440061i) q^{47} +(-3.42090 + 3.17414i) q^{48} +(5.08993 - 4.72276i) q^{49} +(-1.67851 - 4.27676i) q^{50} +(-0.387297 - 5.16812i) q^{51} +(2.60953 + 0.393323i) q^{52} +(-9.72720 - 3.00045i) q^{53} +(1.28603 - 0.876799i) q^{54} -14.1895 q^{55} +(0.427883 + 0.397018i) q^{56} +(-1.90794 + 4.86135i) q^{57} +(-2.92219 - 12.8029i) q^{58} +(0.918380 - 12.2549i) q^{59} +(-0.265202 + 1.16193i) q^{60} +(2.23907 + 3.87819i) q^{61} +(0.728810 + 9.72529i) q^{62} +(-0.148233 - 0.185879i) q^{63} +(3.53544 - 4.43330i) q^{64} +(-15.8637 + 7.63957i) q^{65} +(6.47123 + 4.41201i) q^{66} +(4.61776 - 5.79049i) q^{67} +(-0.487411 - 2.13549i) q^{68} +(2.05454 - 0.309673i) q^{69} +(1.03185 + 0.155526i) q^{70} +8.82821 q^{71} +(-1.79974 + 1.66991i) q^{72} +(-1.89964 + 0.585963i) q^{73} +(0.700043 + 1.21251i) q^{74} +(-1.07840 - 2.74771i) q^{75} +(-0.491148 + 2.15186i) q^{76} +(0.598167 - 1.03606i) q^{77} +(9.61017 + 1.44850i) q^{78} +(9.57861 + 4.61282i) q^{79} +(0.983407 - 13.1226i) q^{80} +(0.826239 - 0.563320i) q^{81} +(-7.43034 - 3.57826i) q^{82} +(1.26515 - 2.19130i) q^{83} +(-0.0736591 - 0.0683457i) q^{84} +(10.7131 + 9.94030i) q^{85} +(-8.07882 - 3.89056i) q^{86} +(-1.87743 - 8.22554i) q^{87} +(-11.1306 - 5.36024i) q^{88} +(11.7257 + 14.7035i) q^{89} +(-0.976668 + 4.27906i) q^{90} +(0.110937 - 1.48035i) q^{91} +(0.839136 - 0.258839i) q^{92} +(0.468241 + 6.24824i) q^{93} +(-2.29783 - 0.346342i) q^{94} +(-5.38017 - 13.7084i) q^{95} +(-1.46728 + 1.83991i) q^{96} +(2.80631 - 12.2952i) q^{97} +(6.73831 - 8.44958i) q^{98} +(4.15759 + 2.83460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 4 q^{2} - 17 q^{3} + 26 q^{4} + 4 q^{5} - 10 q^{6} + 4 q^{7} - 10 q^{8} + 17 q^{9}+O(q^{10}) \) 204 * q - 4 * q^2 - 17 * q^3 + 26 * q^4 + 4 * q^5 - 10 * q^6 + 4 * q^7 - 10 * q^8 + 17 * q^9	\( 204 q - 4 q^{2} - 17 q^{3} + 26 q^{4} + 4 q^{5} - 10 q^{6} + 4 q^{7} - 10 q^{8} + 17 q^{9} - 18 q^{10} + 12 q^{11} + 45 q^{12} + 12 q^{13} + 16 q^{14} - 12 q^{15} - 12 q^{16} + 9 q^{17} - 6 q^{18} + 29 q^{19} - q^{20} + 24 q^{21} - 12 q^{22} - 12 q^{23} - 5 q^{24} - 18 q^{25} + 23 q^{26} + 34 q^{27} - 138 q^{28} - 15 q^{29} - 66 q^{30} - q^{31} - 26 q^{32} + 20 q^{33} + 56 q^{34} - 22 q^{35} + 12 q^{36} - 5 q^{37} + 5 q^{38} - 22 q^{39} + 86 q^{40} - 24 q^{41} - 10 q^{42} + 5 q^{43} - 79 q^{44} - 2 q^{45} + 9 q^{46} + 15 q^{47} + 47 q^{48} + 67 q^{49} - 62 q^{50} - 9 q^{51} - 11 q^{52} - 38 q^{53} - 3 q^{54} - 8 q^{55} + 72 q^{56} - q^{57} + 42 q^{58} - 69 q^{59} - 2 q^{60} - 56 q^{61} + 41 q^{62} - 8 q^{63} - 48 q^{64} - 42 q^{65} - 30 q^{66} + 4 q^{67} + 149 q^{68} + 8 q^{69} + 101 q^{70} - 102 q^{71} - 16 q^{72} + 10 q^{73} + 28 q^{74} - 23 q^{75} - 2 q^{76} + 26 q^{77} + 12 q^{78} - 88 q^{79} - 305 q^{80} + 17 q^{81} + 25 q^{82} - 5 q^{83} + 22 q^{84} + 77 q^{85} - 118 q^{86} + 12 q^{87} - 123 q^{88} + 26 q^{89} + 29 q^{90} + 108 q^{91} + 35 q^{92} + q^{93} + 202 q^{94} + 2 q^{95} - 38 q^{96} - 12 q^{97} + 87 q^{98} - 20 q^{99}+O(q^{100}) \) 204 * q - 4 * q^2 - 17 * q^3 + 26 * q^4 + 4 * q^5 - 10 * q^6 + 4 * q^7 - 10 * q^8 + 17 * q^9 - 18 * q^10 + 12 * q^11 + 45 * q^12 + 12 * q^13 + 16 * q^14 - 12 * q^15 - 12 * q^16 + 9 * q^17 - 6 * q^18 + 29 * q^19 - q^20 + 24 * q^21 - 12 * q^22 - 12 * q^23 - 5 * q^24 - 18 * q^25 + 23 * q^26 + 34 * q^27 - 138 * q^28 - 15 * q^29 - 66 * q^30 - q^31 - 26 * q^32 + 20 * q^33 + 56 * q^34 - 22 * q^35 + 12 * q^36 - 5 * q^37 + 5 * q^38 - 22 * q^39 + 86 * q^40 - 24 * q^41 - 10 * q^42 + 5 * q^43 - 79 * q^44 - 2 * q^45 + 9 * q^46 + 15 * q^47 + 47 * q^48 + 67 * q^49 - 62 * q^50 - 9 * q^51 - 11 * q^52 - 38 * q^53 - 3 * q^54 - 8 * q^55 + 72 * q^56 - q^57 + 42 * q^58 - 69 * q^59 - 2 * q^60 - 56 * q^61 + 41 * q^62 - 8 * q^63 - 48 * q^64 - 42 * q^65 - 30 * q^66 + 4 * q^67 + 149 * q^68 + 8 * q^69 + 101 * q^70 - 102 * q^71 - 16 * q^72 + 10 * q^73 + 28 * q^74 - 23 * q^75 - 2 * q^76 + 26 * q^77 + 12 * q^78 - 88 * q^79 - 305 * q^80 + 17 * q^81 + 25 * q^82 - 5 * q^83 + 22 * q^84 + 77 * q^85 - 118 * q^86 + 12 * q^87 - 123 * q^88 + 26 * q^89 + 29 * q^90 + 108 * q^91 + 35 * q^92 + q^93 + 202 * q^94 + 2 * q^95 - 38 * q^96 - 12 * q^97 + 87 * q^98 - 20 * q^99

Introduction

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