LMFDB - Embedded newform 418.2.j.d.23.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(23,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

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

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

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

chi := DirichletCharacter("418.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.j (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$5$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			23.4
Character	$\chi$	$=$	418.23
Dual form			418.2.j.d.309.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 - 0.342020i) q^{2} +(0.197309 + 1.11900i) q^{3} +(0.766044 + 0.642788i) q^{4} +(2.56288 - 2.15051i) q^{5} +(0.197309 - 1.11900i) q^{6} +(-0.480180 + 0.831696i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.60586 - 0.584483i) q^{9} +O(q^{10})$	\(q+(-0.939693 - 0.342020i) q^{2} +(0.197309 + 1.11900i) q^{3} +(0.766044 + 0.642788i) q^{4} +(2.56288 - 2.15051i) q^{5} +(0.197309 - 1.11900i) q^{6} +(-0.480180 + 0.831696i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.60586 - 0.584483i) q^{9} +(-3.14383 + 1.14426i) q^{10} +(0.500000 + 0.866025i) q^{11} +(-0.568130 + 0.984029i) q^{12} +(1.09469 - 6.20829i) q^{13} +(0.735678 - 0.617307i) q^{14} +(2.91209 + 2.44354i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-1.94003 - 0.706114i) q^{17} -1.70892 q^{18} +(-3.72516 + 2.26345i) q^{19} +3.34560 q^{20} +(-1.02541 - 0.373218i) q^{21} +(-0.173648 - 0.984808i) q^{22} +(3.05639 + 2.56461i) q^{23} +(0.870425 - 0.730373i) q^{24} +(1.07541 - 6.09895i) q^{25} +(-3.15203 + 5.45947i) q^{26} +(2.67527 + 4.63371i) q^{27} +(-0.902443 + 0.328462i) q^{28} +(1.68933 - 0.614867i) q^{29} +(-1.90073 - 3.29217i) q^{30} +(3.01645 - 5.22465i) q^{31} +(0.173648 - 0.984808i) q^{32} +(-0.870425 + 0.730373i) q^{33} +(1.58153 + 1.32706i) q^{34} +(0.557928 + 3.16417i) q^{35} +(1.60586 + 0.584483i) q^{36} -1.59403 q^{37} +(4.27465 - 0.852872i) q^{38} +7.16304 q^{39} +(-3.14383 - 1.14426i) q^{40} +(1.88989 + 10.7181i) q^{41} +(0.835921 + 0.701421i) q^{42} +(5.33651 - 4.47786i) q^{43} +(-0.173648 + 0.984808i) q^{44} +(2.85867 - 4.95137i) q^{45} +(-1.99491 - 3.45529i) q^{46} +(5.51283 - 2.00650i) q^{47} +(-1.06773 + 0.388624i) q^{48} +(3.03885 + 5.26345i) q^{49} +(-3.09652 + 5.36332i) q^{50} +(0.407353 - 2.31021i) q^{51} +(4.82919 - 4.05217i) q^{52} +(-3.34919 - 2.81031i) q^{53} +(-0.929113 - 5.26926i) q^{54} +(3.14383 + 1.14426i) q^{55} +0.960360 q^{56} +(-3.26780 - 3.72184i) q^{57} -1.79775 q^{58} +(-5.18953 - 1.88884i) q^{59} +(0.660118 + 3.74371i) q^{60} +(3.55221 + 2.98066i) q^{61} +(-4.62147 + 3.87787i) q^{62} +(-0.284987 + 1.61624i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-10.5454 - 18.2652i) q^{65} +(1.06773 - 0.388624i) q^{66} +(-12.3287 + 4.48727i) q^{67} +(-1.03227 - 1.78794i) q^{68} +(-2.26674 + 3.92611i) q^{69} +(0.557928 - 3.16417i) q^{70} +(-10.1951 + 8.55469i) q^{71} +(-1.30911 - 1.09847i) q^{72} +(-0.987256 - 5.59901i) q^{73} +(1.49790 + 0.545191i) q^{74} +7.03689 q^{75} +(-4.30855 - 0.660578i) q^{76} -0.960360 q^{77} +(-6.73106 - 2.44991i) q^{78} +(-1.10958 - 6.29273i) q^{79} +(2.56288 + 2.15051i) q^{80} +(-0.729935 + 0.612489i) q^{81} +(1.88989 - 10.7181i) q^{82} +(-3.49847 + 6.05952i) q^{83} +(-0.545609 - 0.945022i) q^{84} +(-6.49057 + 2.36237i) q^{85} +(-6.54619 + 2.38262i) q^{86} +(1.02136 + 1.76904i) q^{87} +(0.500000 - 0.866025i) q^{88} +(-0.594700 + 3.37271i) q^{89} +(-4.37974 + 3.67504i) q^{90} +(4.63776 + 3.89154i) q^{91} +(0.692827 + 3.92922i) q^{92} +(6.44154 + 2.34453i) q^{93} -5.86663 q^{94} +(-4.67954 + 13.8119i) q^{95} +1.13626 q^{96} +(11.2433 + 4.09224i) q^{97} +(-1.05538 - 5.98537i) q^{98} +(1.30911 + 1.09847i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 15 q^{8}+O(q^{10}) $ 30 * q - 15 * q^8	$ 30 q - 15 q^{8} + 15 q^{11} - 3 q^{12} - 21 q^{13} - 9 q^{14} + 3 q^{15} + 6 q^{17} + 60 q^{18} - 9 q^{19} + 18 q^{20} - 39 q^{21} + 15 q^{23} + 24 q^{25} - 3 q^{27} + 9 q^{28} - 3 q^{29} - 21 q^{30} - 18 q^{31} + 15 q^{34} + 51 q^{35} - 18 q^{37} - 6 q^{38} - 6 q^{41} + 51 q^{42} + 39 q^{43} - 54 q^{45} - 21 q^{46} - 3 q^{47} - 33 q^{49} - 24 q^{50} - 48 q^{51} - 12 q^{52} - 24 q^{53} - 9 q^{54} - 6 q^{57} - 18 q^{58} + 21 q^{59} + 3 q^{60} + 63 q^{61} - 27 q^{62} + 57 q^{63} - 15 q^{64} - 6 q^{65} - 45 q^{67} - 21 q^{68} + 42 q^{69} + 51 q^{70} - 48 q^{71} + 87 q^{73} + 9 q^{74} + 42 q^{75} - 9 q^{76} - 36 q^{78} - 57 q^{79} + 36 q^{81} - 6 q^{82} - 30 q^{83} + 9 q^{84} + 81 q^{85} - 24 q^{86} - 9 q^{87} + 15 q^{88} - 6 q^{89} - 114 q^{90} - 51 q^{91} - 3 q^{92} + 33 q^{93} + 78 q^{94} - 132 q^{95} + 6 q^{96} - 66 q^{97} + 9 q^{98}+O(q^{100}) $ 30 * q - 15 * q^8 + 15 * q^11 - 3 * q^12 - 21 * q^13 - 9 * q^14 + 3 * q^15 + 6 * q^17 + 60 * q^18 - 9 * q^19 + 18 * q^20 - 39 * q^21 + 15 * q^23 + 24 * q^25 - 3 * q^27 + 9 * q^28 - 3 * q^29 - 21 * q^30 - 18 * q^31 + 15 * q^34 + 51 * q^35 - 18 * q^37 - 6 * q^38 - 6 * q^41 + 51 * q^42 + 39 * q^43 - 54 * q^45 - 21 * q^46 - 3 * q^47 - 33 * q^49 - 24 * q^50 - 48 * q^51 - 12 * q^52 - 24 * q^53 - 9 * q^54 - 6 * q^57 - 18 * q^58 + 21 * q^59 + 3 * q^60 + 63 * q^61 - 27 * q^62 + 57 * q^63 - 15 * q^64 - 6 * q^65 - 45 * q^67 - 21 * q^68 + 42 * q^69 + 51 * q^70 - 48 * q^71 + 87 * q^73 + 9 * q^74 + 42 * q^75 - 9 * q^76 - 36 * q^78 - 57 * q^79 + 36 * q^81 - 6 * q^82 - 30 * q^83 + 9 * q^84 + 81 * q^85 - 24 * q^86 - 9 * q^87 + 15 * q^88 - 6 * q^89 - 114 * q^90 - 51 * q^91 - 3 * q^92 + 33 * q^93 + 78 * q^94 - 132 * q^95 + 6 * q^96 - 66 * q^97 + 9 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.939693	−	0.342020i	−0.664463	−	0.241845i
$2$	−0.939693	−	0.342020i	−0.664463	−	0.241845i
$3$	0.197309	+	1.11900i	0.113917	+	0.646053i	0.987281	+	0.158986i	$0.0508223\pi$
$3$	0.197309	+	1.11900i	0.113917	+	0.646053i	−0.873364	+	0.487068i	$0.838067\pi$
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	2.56288	−	2.15051i	1.14615	−	0.961737i	0.146531	−	0.989206i	$-0.453189\pi$
$5$	2.56288	−	2.15051i	1.14615	−	0.961737i	0.999623	+	0.0274690i	$0.00874474\pi$
$6$	0.197309	−	1.11900i	0.0805512	−	0.456829i
$7$	−0.480180	+	0.831696i	−0.181491	+	0.314352i	−0.942388	−	0.334521i	$-0.891426\pi$
$7$	−0.480180	+	0.831696i	−0.181491	+	0.314352i	0.760897	+	0.648872i	$0.224759\pi$
$8$	−0.500000	−	0.866025i	−0.176777	−	0.306186i
$9$	1.60586	−	0.584483i	0.535285	−	0.194828i
$10$	−3.14383	+	1.14426i	−0.994168	+	0.361847i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$12$	−0.568130	+	0.984029i	−0.164005	+	0.284065i
$13$	1.09469	−	6.20829i	0.303612	−	1.72187i	−0.326356	−	0.945247i	$-0.605821\pi$
$13$	1.09469	−	6.20829i	0.303612	−	1.72187i	0.629968	−	0.776621i	$-0.283068\pi$
$14$	0.735678	−	0.617307i	0.196618	−	0.164982i
$15$	2.91209	+	2.44354i	0.751899	+	0.630918i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	−1.94003	−	0.706114i	−0.470527	−	0.171258i	0.0958642	−	0.995394i	$-0.469439\pi$
$17$	−1.94003	−	0.706114i	−0.470527	−	0.171258i	−0.566391	+	0.824137i	$0.691661\pi$
$18$	−1.70892			−0.402795
$19$	−3.72516	+	2.26345i	−0.854609	+	0.519272i
$19$	−3.72516	+	2.26345i	−0.854609	+	0.519272i
$20$	3.34560			0.748099
$21$	−1.02541	−	0.373218i	−0.223763	−	0.0814429i
$22$	−0.173648	−	0.984808i	−0.0370219	−	0.209962i
$23$	3.05639	+	2.56461i	0.637301	+	0.534759i	0.903188	−	0.429245i	$-0.141220\pi$
$23$	3.05639	+	2.56461i	0.637301	+	0.534759i	−0.265887	+	0.964004i	$0.585665\pi$
$24$	0.870425	−	0.730373i	0.177675	−	0.149087i
$25$	1.07541	−	6.09895i	0.215082	−	1.21979i
$26$	−3.15203	+	5.45947i	−0.618164	+	1.07069i
$27$	2.67527	+	4.63371i	0.514857	+	0.891758i
$28$	−0.902443	+	0.328462i	−0.170546	+	0.0620736i
$29$	1.68933	−	0.614867i	0.313701	−	0.114178i	−0.180371	−	0.983599i	$-0.557730\pi$
$29$	1.68933	−	0.614867i	0.313701	−	0.114178i	0.494073	+	0.869421i	$0.335508\pi$
$30$	−1.90073	−	3.29217i	−0.347025	−	0.601065i
$31$	3.01645	−	5.22465i	0.541771	−	0.938374i	−0.457032	−	0.889450i	$-0.651088\pi$
$31$	3.01645	−	5.22465i	0.541771	−	0.938374i	0.998803	−	0.0489238i	$-0.0155792\pi$
$32$	0.173648	−	0.984808i	0.0306970	−	0.174091i
$33$	−0.870425	+	0.730373i	−0.151522	+	0.127142i
$34$	1.58153	+	1.32706i	0.271230	+	0.227589i
$35$	0.557928	+	3.16417i	0.0943070	+	0.534842i
$36$	1.60586	+	0.584483i	0.267643	+	0.0974139i
$37$	−1.59403			−0.262057			−0.131029	−	0.991379i	$-0.541828\pi$
$37$	−1.59403			−0.262057			−0.131029	+	0.991379i	$0.541828\pi$
$38$	4.27465	−	0.852872i	0.693439	−	0.138354i
$39$	7.16304			1.14700
$40$	−3.14383	−	1.14426i	−0.497084	−	0.180924i
$41$	1.88989	+	10.7181i	0.295151	+	1.67389i	0.666586	+	0.745428i	$0.267755\pi$
$41$	1.88989	+	10.7181i	0.295151	+	1.67389i	−0.371435	+	0.928459i	$0.621134\pi$
$42$	0.835921	+	0.701421i	0.128985	+	0.108232i
$43$	5.33651	−	4.47786i	0.813809	−	0.682867i	−0.137704	−	0.990473i	$-0.543972\pi$
$43$	5.33651	−	4.47786i	0.813809	−	0.682867i	0.951514	+	0.307606i	$0.0995279\pi$
$44$	−0.173648	+	0.984808i	−0.0261784	+	0.148465i
$45$	2.85867	−	4.95137i	0.426146	−	0.738106i
$46$	−1.99491	−	3.45529i	−0.294134	−	0.509455i
$47$	5.51283	−	2.00650i	0.804128	−	0.292679i	0.0929323	−	0.995672i	$-0.470376\pi$
$47$	5.51283	−	2.00650i	0.804128	−	0.292679i	0.711196	+	0.702994i	$0.248154\pi$
$48$	−1.06773	+	0.388624i	−0.154114	+	0.0560930i
$49$	3.03885	+	5.26345i	0.434122	+	0.751921i
$50$	−3.09652	+	5.36332i	−0.437914	+	0.758489i
$51$	0.407353	−	2.31021i	0.0570408	−	0.323494i
$52$	4.82919	−	4.05217i	0.669688	−	0.561935i
$53$	−3.34919	−	2.81031i	−0.460047	−	0.386025i	0.383101	−	0.923706i	$-0.374856\pi$
$53$	−3.34919	−	2.81031i	−0.460047	−	0.386025i	−0.843148	+	0.537681i	$0.819300\pi$
$54$	−0.929113	−	5.26926i	−0.126436	−	0.717056i
$55$	3.14383	+	1.14426i	0.423915	+	0.154292i
$56$	0.960360			0.128333
$57$	−3.26780	−	3.72184i	−0.432831	−	0.492969i
$58$	−1.79775			−0.236056
$59$	−5.18953	−	1.88884i	−0.675620	−	0.245905i	−0.0186541	−	0.999826i	$-0.505938\pi$
$59$	−5.18953	−	1.88884i	−0.675620	−	0.245905i	−0.656966	+	0.753920i	$0.728160\pi$
$60$	0.660118	+	3.74371i	0.0852209	+	0.483311i
$61$	3.55221	+	2.98066i	0.454814	+	0.381634i	0.841219	−	0.540695i	$-0.181839\pi$
$61$	3.55221	+	2.98066i	0.454814	+	0.381634i	−0.386405	+	0.922329i	$0.626283\pi$
$62$	−4.62147	+	3.87787i	−0.586927	+	0.492491i
$63$	−0.284987	+	1.61624i	−0.0359050	+	0.203627i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−10.5454	−	18.2652i	−1.30800	−	2.26552i
$66$	1.06773	−	0.388624i	0.131429	−	0.0478362i
$67$	−12.3287	+	4.48727i	−1.50619	+	0.548207i	−0.957654	−	0.287922i	$-0.907036\pi$
$67$	−12.3287	+	4.48727i	−1.50619	+	0.548207i	−0.548533	+	0.836129i	$0.684813\pi$
$68$	−1.03227	−	1.78794i	−0.125181	−	0.216820i
$69$	−2.26674	+	3.92611i	−0.272883	+	0.472648i
$70$	0.557928	−	3.16417i	0.0666852	−	0.378190i
$71$	−10.1951	+	8.55469i	−1.20993	+	1.01525i	−0.210644	+	0.977563i	$0.567556\pi$
$71$	−10.1951	+	8.55469i	−1.20993	+	1.01525i	−0.999289	+	0.0376915i	$0.988000\pi$
$72$	−1.30911	−	1.09847i	−0.154280	−	0.129456i
$73$	−0.987256	−	5.59901i	−0.115550	−	0.655314i	−0.986477	−	0.163902i	$-0.947592\pi$
$73$	−0.987256	−	5.59901i	−0.115550	−	0.655314i	0.870927	−	0.491412i	$-0.163519\pi$
$74$	1.49790	+	0.545191i	0.174127	+	0.0633772i
$75$	7.03689			0.812550
$76$	−4.30855	−	0.660578i	−0.494225	−	0.0757735i
$77$	−0.960360			−0.109443
$78$	−6.73106	−	2.44991i	−0.762142	−	0.277397i
$79$	−1.10958	−	6.29273i	−0.124837	−	0.707988i	−0.981404	−	0.191952i	$-0.938518\pi$
$79$	−1.10958	−	6.29273i	−0.124837	−	0.707988i	0.856567	−	0.516036i	$-0.172593\pi$
$80$	2.56288	+	2.15051i	0.286538	+	0.240434i
$81$	−0.729935	+	0.612489i	−0.0811039	+	0.0680543i
$82$	1.88989	−	10.7181i	0.208704	−	1.18362i
$83$	−3.49847	+	6.05952i	−0.384007	+	0.665119i	−0.991631	−	0.129106i	$-0.958789\pi$
$83$	−3.49847	+	6.05952i	−0.384007	+	0.665119i	0.607624	+	0.794225i	$0.292123\pi$
$84$	−0.545609	−	0.945022i	−0.0595308	−	0.103110i
$85$	−6.49057	+	2.36237i	−0.704001	+	0.256235i
$86$	−6.54619	+	2.38262i	−0.705894	+	0.256924i
$87$	1.02136	+	1.76904i	0.109501	+	0.189661i
$88$	0.500000	−	0.866025i	0.0533002	−	0.0923186i
$89$	−0.594700	+	3.37271i	−0.0630381	+	0.357507i	0.936930	+	0.349517i	$0.113654\pi$
$89$	−0.594700	+	3.37271i	−0.0630381	+	0.357507i	−0.999968	+	0.00798964i	$0.997457\pi$
$90$	−4.37974	+	3.67504i	−0.461665	+	0.387383i
$91$	4.63776	+	3.89154i	0.486169	+	0.407944i
$92$	0.692827	+	3.92922i	0.0722322	+	0.409649i
$93$	6.44154	+	2.34453i	0.667956	+	0.243116i
$94$	−5.86663			−0.605096
$95$	−4.67954	+	13.8119i	−0.480111	+	1.41707i
$96$	1.13626			0.115969
$97$	11.2433	+	4.09224i	1.14159	+	0.415504i	0.842487	−	0.538717i	$-0.181091\pi$
$97$	11.2433	+	4.09224i	1.14159	+	0.415504i	0.299102	+	0.954221i	$0.403313\pi$
$98$	−1.05538	−	5.98537i	−0.106610	−	0.604614i
$99$	1.30911	+	1.09847i	0.131570	+	0.110400i
$100$	4.74414	−	3.98080i	0.474414	−	0.398080i
$101$	−2.37434	+	13.4655i	−0.236256	+	1.33987i	0.603698	+	0.797213i	$0.293693\pi$
$101$	−2.37434	+	13.4655i	−0.236256	+	1.33987i	−0.839953	+	0.542659i	$0.817418\pi$
$102$	−1.17293	+	2.03157i	−0.116137	+	0.201155i
$103$	−7.05997	−	12.2282i	−0.695639	−	1.20488i	−0.969965	−	0.243246i	$-0.921788\pi$
$103$	−7.05997	−	12.2282i	−0.695639	−	1.20488i	0.274325	−	0.961637i	$-0.411545\pi$
$104$	−5.92388	+	2.15611i	−0.580884	+	0.211424i
$105$	−3.43061	+	1.24864i	−0.334793	+	0.121855i
$106$	2.18603	+	3.78632i	0.212326	+	0.367760i
$107$	−1.38352	+	2.39633i	−0.133750	+	0.231662i	−0.925119	−	0.379677i	$-0.876035\pi$
$107$	−1.38352	+	2.39633i	−0.133750	+	0.231662i	0.791369	+	0.611338i	$0.209369\pi$
$108$	−0.929113	+	5.26926i	−0.0894039	+	0.507035i
$109$	−14.0737	+	11.8092i	−1.34802	+	1.13112i	−0.368529	+	0.929616i	$0.620139\pi$
$109$	−14.0737	+	11.8092i	−1.34802	+	1.13112i	−0.979488	+	0.201504i	$0.935417\pi$
$110$	−2.56288	−	2.15051i	−0.244361	−	0.205043i
$111$	−0.314518	−	1.78372i	−0.0298527	−	0.169303i
$112$	−0.902443	−	0.328462i	−0.0852729	−	0.0310368i
$113$	−15.5448			−1.46233			−0.731167	−	0.682198i	$-0.761024\pi$
$113$	−15.5448			−1.46233			−0.731167	+	0.682198i	$0.761024\pi$
$114$	1.79779	+	4.61504i	0.168378	+	0.432238i
$115$	13.3484			1.24474
$116$	1.68933	+	0.614867i	0.156851	+	0.0570890i
$117$	−1.87073	−	10.6094i	−0.172949	−	0.980842i
$118$	4.23055	+	3.54985i	0.389453	+	0.326790i
$119$	1.51884	−	1.27445i	0.139231	−	0.116829i
$120$	0.660118	−	3.74371i	0.0602602	−	0.341753i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	−2.31854	−	4.01583i	−0.209911	−	0.363576i
$123$	−11.6206	+	4.22956i	−1.04780	+	0.381367i
$124$	5.66907	−	2.06337i	0.509098	−	0.185296i
$125$	−1.99570	−	3.45666i	−0.178501	−	0.309173i
$126$	0.820587	−	1.42130i	0.0731037	−	0.126619i
$127$	0.871431	−	4.94213i	0.0773270	−	0.438543i	−0.921423	−	0.388561i	$-0.872972\pi$
$127$	0.871431	−	4.94213i	0.0773270	−	0.438543i	0.998750	−	0.0499825i	$-0.0159165\pi$
$128$	0.766044	−	0.642788i	0.0677094	−	0.0568149i
$129$	6.06365	+	5.08801i	0.533875	+	0.447974i
$130$	3.66239	+	20.7704i	0.321213	+	1.82169i
$131$	−19.2291	−	6.99882i	−1.68005	−	0.611490i	−0.686737	−	0.726906i	$-0.740958\pi$
$131$	−19.2291	−	6.99882i	−1.68005	−	0.611490i	−0.993317	+	0.115416i	$0.963180\pi$
$132$	−1.13626			−0.0988987
$133$	−0.0937598	−	4.18506i	−0.00813001	−	0.362891i
$134$	13.1199			1.13339
$135$	16.8212	+	6.12243i	1.44774	+	0.526935i
$136$	0.358503	+	2.03317i	0.0307414	+	0.174343i
$137$	6.54316	+	5.49037i	0.559020	+	0.469074i	0.877982	−	0.478694i	$-0.158890\pi$
$137$	6.54316	+	5.49037i	0.559020	+	0.469074i	−0.318962	+	0.947768i	$0.603334\pi$
$138$	3.47285	−	2.91407i	0.295628	−	0.248062i
$139$	−0.373986	+	2.12098i	−0.0317211	+	0.179899i	−0.996552	−	0.0829728i	$-0.973559\pi$
$139$	−0.373986	+	2.12098i	−0.0317211	+	0.179899i	0.964831	+	0.262872i	$0.0846697\pi$
$140$	−1.60649	+	2.78252i	−0.135773	+	0.235166i
$141$	3.33300	+	5.77293i	0.280690	+	0.486169i
$142$	12.5061	−	4.55185i	1.04949	−	0.381983i
$143$	5.92388	−	2.15611i	0.495379	−	0.180303i
$144$	0.854458	+	1.47996i	0.0712048	+	0.123330i
$145$	3.00728	−	5.20876i	0.249741	−	0.432564i
$146$	−0.987256	+	5.59901i	−0.0817059	+	0.463377i
$147$	−5.29019	+	4.43900i	−0.436327	+	0.366122i
$148$	−1.22110	−	1.02462i	−0.100374	−	0.0842236i
$149$	−1.68434	−	9.55236i	−0.137986	−	0.782560i	−0.972733	−	0.231926i	$-0.925497\pi$
$149$	−1.68434	−	9.55236i	−0.137986	−	0.782560i	0.834747	−	0.550634i	$-0.185614\pi$
$150$	−6.61251	−	2.40676i	−0.539909	−	0.196511i
$151$	8.65965			0.704713			0.352356	−	0.935866i	$-0.385381\pi$
$151$	8.65965			0.704713			0.352356	+	0.935866i	$0.385381\pi$
$152$	3.82279	+	2.09435i	0.310069	+	0.169874i
$153$	−3.52812			−0.285232
$154$	0.902443	+	0.328462i	0.0727209	+	0.0264683i
$155$	−3.50486	−	19.8770i	−0.281517	−	1.59656i
$156$	5.48721	+	4.60432i	0.439328	+	0.368640i
$157$	9.29254	−	7.79737i	0.741626	−	0.622298i	−0.191648	−	0.981464i	$-0.561383\pi$
$157$	9.29254	−	7.79737i	0.741626	−	0.622298i	0.933274	+	0.359166i	$0.116939\pi$
$158$	−1.10958	+	6.29273i	−0.0882734	+	0.500623i
$159$	2.48390	−	4.30224i	0.196986	−	0.341190i
$160$	−1.67280	−	2.89737i	−0.132246	−	0.229058i
$161$	−3.60059	+	1.31051i	−0.283767	+	0.103283i
$162$	0.895398	−	0.325898i	0.0703491	−	0.0256050i
$163$	1.16314	+	2.01463i	0.0911045	+	0.157798i	0.907976	−	0.419022i	$-0.137627\pi$
$163$	1.16314	+	2.01463i	0.0911045	+	0.157798i	−0.816872	+	0.576820i	$0.804294\pi$
$164$	−5.44173	+	9.42535i	−0.424927	+	0.735996i
$165$	−0.660118	+	3.74371i	−0.0513901	+	0.291448i
$166$	5.35996	−	4.49754i	0.416014	−	0.349077i
$167$	1.18047	+	0.990529i	0.0913472	+	0.0766494i	0.687318	−	0.726357i	$-0.258788\pi$
$167$	1.18047	+	0.990529i	0.0913472	+	0.0766494i	−0.595970	+	0.803006i	$0.703232\pi$
$168$	0.189488	+	1.07464i	0.0146193	+	0.0829103i
$169$	−25.1285	−	9.14601i	−1.93296	−	0.703539i
$170$	6.90712			0.529752
$171$	−4.65911	+	5.81207i	−0.356291	+	0.444460i
$172$	6.96631			0.531176
$173$	−12.3447	−	4.49309i	−0.938548	−	0.341603i	−0.172956	−	0.984930i	$-0.555332\pi$
$173$	−12.3447	−	4.49309i	−0.938548	−	0.341603i	−0.765592	+	0.643326i	$0.777554\pi$
$174$	−0.354713	−	2.01168i	−0.0268907	−	0.152505i
$175$	4.55608	+	3.82301i	0.344407	+	0.288992i
$176$	−0.766044	+	0.642788i	−0.0577428	+	0.0484519i
$177$	1.08966	−	6.17976i	0.0819037	−	0.464499i
$178$	1.71237	−	2.96591i	0.128348	−	0.222305i
$179$	−2.80203	−	4.85326i	−0.209433	−	0.362749i	0.742103	−	0.670286i	$-0.233829\pi$
$179$	−2.80203	−	4.85326i	−0.209433	−	0.362749i	−0.951536	+	0.307537i	$0.900495\pi$
$180$	5.37255	−	1.95545i	0.400446	−	0.145750i
$181$	11.2801	−	4.10561i	0.838441	−	0.305168i	0.113123	−	0.993581i	$-0.463915\pi$
$181$	11.2801	−	4.10561i	0.838441	−	0.305168i	0.725319	+	0.688413i	$0.241692\pi$
$182$	−3.02708	−	5.24306i	−0.224382	−	0.388641i
$183$	−2.63446	+	4.56302i	−0.194745	+	0.337308i
$184$	0.692827	−	3.92922i	0.0510759	−	0.289666i
$185$	−4.08531	+	3.42798i	−0.300358	+	0.252030i
$186$	−5.25119	−	4.40627i	−0.385036	−	0.323083i
$187$	−0.358503	−	2.03317i	−0.0262164	−	0.148680i
$188$	5.51283	+	2.00650i	0.402064	+	0.146339i
$189$	−5.13845			−0.373767
$190$	9.12129	−	11.3785i	0.661728	−	0.825481i
$191$	3.65271			0.264300			0.132150	−	0.991230i	$-0.457812\pi$
$191$	3.65271			0.264300			0.132150	+	0.991230i	$0.457812\pi$
$192$	−1.06773	−	0.388624i	−0.0770571	−	0.0280465i
$193$	−3.09625	−	17.5597i	−0.222873	−	1.26397i	−0.866710	−	0.498812i	$-0.833770\pi$
$193$	−3.09625	−	17.5597i	−0.222873	−	1.26397i	0.643837	−	0.765162i	$-0.277341\pi$
$194$	−9.16566	−	7.69090i	−0.658056	−	0.552174i
$195$	18.3580	−	15.4042i	1.31464	−	1.10312i
$196$	−1.05538	+	5.98537i	−0.0753845	+	0.427527i
$197$	−1.28396	+	2.22389i	−0.0914786	+	0.158446i	−0.908133	−	0.418681i	$-0.862493\pi$
$197$	−1.28396	+	2.22389i	−0.0914786	+	0.158446i	0.816655	+	0.577126i	$0.195826\pi$
$198$	−0.854458	−	1.47996i	−0.0607237	−	0.105176i
$199$	−6.01809	+	2.19040i	−0.426611	+	0.155274i	−0.546398	−	0.837526i	$-0.684001\pi$
$199$	−6.01809	+	2.19040i	−0.426611	+	0.155274i	0.119787	+	0.992800i	$0.461779\pi$
$200$	−5.81955	+	2.11814i	−0.411504	+	0.149775i
$201$	−7.45380	−	12.9104i	−0.525751	−	0.910627i
$202$	6.83664	−	11.8414i	0.481024	−	0.833158i
$203$	−0.299802	+	1.70026i	−0.0210419	+	0.119335i
$204$	1.79703	−	1.50788i	0.125817	−	0.105573i
$205$	27.8930	+	23.4050i	1.94813	+	1.63467i
$206$	2.45190	+	13.9054i	0.170832	+	0.968837i
$207$	6.40709	+	2.33199i	0.445323	+	0.162084i
$208$	6.30406			0.437108
$209$	−3.82279	−	2.09435i	−0.264428	−	0.144869i
$210$	3.65078			0.251928
$211$	−6.60901	−	2.40548i	−0.454983	−	0.165600i	0.104355	−	0.994540i	$-0.466722\pi$
$211$	−6.60901	−	2.40548i	−0.454983	−	0.165600i	−0.559338	+	0.828940i	$0.688944\pi$
$212$	−0.759201	−	4.30564i	−0.0521421	−	0.295713i
$213$	−11.5842	−	9.72034i	−0.793740	−	0.666027i
$214$	2.11968	−	1.77862i	0.144898	−	0.121584i
$215$	4.04713	−	22.9524i	0.276012	−	1.56534i
$216$	2.67527	−	4.63371i	0.182029	−	0.315284i
$217$	2.89688	+	5.01754i	0.196653	+	0.340613i
$218$	17.2640	−	6.28357i	1.16926	−	0.425577i
$219$	6.07048	−	2.20947i	0.410205	−	0.149302i
$220$	1.67280	+	2.89737i	0.112780	+	0.195341i
$221$	−6.50748	+	11.2713i	−0.437741	+	0.758189i
$222$	−0.314518	+	1.78372i	−0.0211090	+	0.119715i
$223$	−11.1417	+	9.34902i	−0.746105	+	0.626057i	−0.934470	−	0.356043i	$-0.884126\pi$
$223$	−11.1417	+	9.34902i	−0.746105	+	0.626057i	0.188364	+	0.982099i	$0.439681\pi$
$224$	0.735678	+	0.617307i	0.0491546	+	0.0412456i
$225$	−1.83778	−	10.4226i	−0.122519	−	0.694839i
$226$	14.6074	+	5.31664i	0.971667	+	0.353658i
$227$	19.5566			1.29802			0.649010	−	0.760780i	$-0.275184\pi$
$227$	19.5566			1.29802			0.649010	+	0.760780i	$0.275184\pi$
$228$	−0.110933	−	4.95160i	−0.00734671	−	0.327927i
$229$	7.44772			0.492159			0.246079	−	0.969250i	$-0.420858\pi$
$229$	7.44772			0.492159			0.246079	+	0.969250i	$0.420858\pi$
$230$	−12.5434	−	4.56541i	−0.827085	−	0.301034i
$231$	−0.189488	−	1.07464i	−0.0124674	−	0.0707061i
$232$	−1.37716	−	1.15557i	−0.0904148	−	0.0758670i
$233$	−6.21123	+	5.21184i	−0.406911	+	0.341439i	−0.823158	−	0.567813i	$-0.807790\pi$
$233$	−6.21123	+	5.21184i	−0.406911	+	0.341439i	0.416247	+	0.909252i	$0.363345\pi$
$234$	−1.87073	+	10.6094i	−0.122293	+	0.693560i
$235$	9.81369	−	16.9978i	0.640175	−	1.10882i
$236$	−2.76129	−	4.78270i	−0.179745	−	0.311327i
$237$	6.82262	−	2.48323i	0.443177	−	0.161303i
$238$	−1.86313	+	0.678123i	−0.120769	+	0.0439562i
$239$	14.8651	+	25.7471i	0.961543	+	1.66544i	0.718629	+	0.695393i	$0.244770\pi$
$239$	14.8651	+	25.7471i	0.961543	+	1.66544i	0.242914	+	0.970048i	$0.421897\pi$
$240$	−1.90073	+	3.29217i	−0.122692	+	0.212508i
$241$	−4.21267	+	23.8912i	−0.271362	+	1.53897i	0.478924	+	0.877856i	$0.341027\pi$
$241$	−4.21267	+	23.8912i	−0.271362	+	1.53897i	−0.750286	+	0.661114i	$0.770084\pi$
$242$	0.766044	−	0.642788i	0.0492432	−	0.0413200i
$243$	11.4669	+	9.62185i	0.735600	+	0.617242i
$244$	0.805220	+	4.56663i	0.0515490	+	0.292349i
$245$	19.1073	+	6.95449i	1.22072	+	0.444306i
$246$	12.3664			0.788454
$247$	9.97428	+	25.6046i	0.634648	+	1.62918i
$248$	−6.03290			−0.383090
$249$	−7.47086	−	2.71917i	−0.473447	−	0.172321i
$250$	0.693101	+	3.93077i	0.0438356	+	0.248604i
$251$	16.2246	+	13.6140i	1.02409	+	0.859311i	0.990136	−	0.140113i	$-0.0447466\pi$
$251$	16.2246	+	13.6140i	1.02409	+	0.859311i	0.0339509	+	0.999424i	$0.489191\pi$
$252$	−1.25721	+	1.05493i	−0.0791969	+	0.0664541i
$253$	−0.692827	+	3.92922i	−0.0435576	+	0.247028i
$254$	−2.50919	+	4.34604i	−0.157440	+	0.272695i
$255$	−3.92414	−	6.79681i	−0.245739	−	0.425632i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	9.58233	−	3.48768i	0.597729	−	0.217556i	−0.0253964	−	0.999677i	$-0.508085\pi$
$257$	9.58233	−	3.48768i	0.597729	−	0.217556i	0.623126	+	0.782122i	$0.285863\pi$
$258$	−3.95777	−	6.85506i	−0.246400	−	0.426777i
$259$	0.765423	−	1.32575i	0.0475610	−	0.0823781i
$260$	3.66239	−	20.7704i	0.227132	−	1.28813i
$261$	2.35345	−	1.97478i	0.145675	−	0.122236i
$262$	15.6757	+	13.1535i	0.968448	+	0.812625i
$263$	−0.731992	−	4.15133i	−0.0451366	−	0.255982i	0.953887	−	0.300166i	$-0.0970422\pi$
$263$	−0.731992	−	4.15133i	−0.0451366	−	0.255982i	−0.999023	+	0.0441843i	$0.985931\pi$
$264$	1.06773	+	0.388624i	0.0657145	+	0.0239181i
$265$	−14.6272			−0.898540
$266$	−1.34327	+	3.96474i	−0.0823612	+	0.243094i
$267$	−3.89139			−0.238149
$268$	−12.3287	−	4.48727i	−0.753093	−	0.274104i
$269$	−4.03269	−	22.8705i	−0.245878	−	1.39444i	−0.818446	−	0.574584i	$-0.805164\pi$
$269$	−4.03269	−	22.8705i	−0.245878	−	1.39444i	0.572568	−	0.819857i	$-0.305947\pi$
$270$	−13.7128	−	11.5064i	−0.834534	−	0.700257i
$271$	4.28827	−	3.59829i	0.260494	−	0.218580i	−0.503181	−	0.864181i	$-0.667837\pi$
$271$	4.28827	−	3.59829i	0.260494	−	0.218580i	0.763675	+	0.645600i	$0.223393\pi$
$272$	0.358503	−	2.03317i	0.0217375	−	0.123279i
$273$	−3.43955	+	5.95748i	−0.208171	+	0.360563i
$274$	−4.27075	−	7.39715i	−0.258005	−	0.446878i
$275$	5.81955	−	2.11814i	0.350932	−	0.127729i
$276$	−4.26008	+	1.55054i	−0.256427	+	0.0933316i
$277$	−16.6119	−	28.7727i	−0.998113	−	1.72878i	−0.552232	−	0.833691i	$-0.686224\pi$
$277$	−16.6119	−	28.7727i	−0.998113	−	1.72878i	−0.445881	−	0.895092i	$-0.647110\pi$
$278$	1.07685	−	1.86516i	0.0645851	−	0.111865i
$279$	1.79026	−	10.1531i	0.107180	−	0.607850i
$280$	2.46128	−	2.06526i	0.147090	−	0.123423i
$281$	21.1425	+	17.7407i	1.26126	+	1.05832i	0.995547	+	0.0942691i	$0.0300514\pi$
$281$	21.1425	+	17.7407i	1.26126	+	1.05832i	0.265712	+	0.964053i	$0.414393\pi$
$282$	−1.15754	−	6.56474i	−0.0689305	−	0.390924i
$283$	2.11451	+	0.769617i	0.125694	+	0.0457490i	0.404102	−	0.914714i	$-0.367584\pi$
$283$	2.11451	+	0.769617i	0.125694	+	0.0457490i	−0.278407	+	0.960463i	$0.589806\pi$
$284$	−13.3087			−0.789728
$285$	−16.3788	−	2.51117i	−0.970198	−	0.148749i
$286$	−6.30406			−0.372767
$287$	−9.82170	−	3.57480i	−0.579756	−	0.211014i
$288$	−0.296750	−	1.68295i	−0.0174862	−	0.0991690i
$289$	−9.75763	−	8.18762i	−0.573978	−	0.481625i
$290$	−4.60742	+	3.86608i	−0.270557	+	0.227024i
$291$	−2.36079	+	13.3887i	−0.138392	+	0.784860i
$292$	2.84269	−	4.92368i	0.166356	−	0.288137i
$293$	15.4872	+	26.8247i	0.904774	+	1.56711i	0.821220	+	0.570611i	$0.193294\pi$
$293$	15.4872	+	26.8247i	0.904774	+	1.56711i	0.0835538	+	0.996503i	$0.473373\pi$
$294$	6.48938	−	2.36194i	0.378468	−	0.137751i
$295$	−17.3621	+	6.31929i	−1.01086	+	0.367923i
$296$	0.797016	+	1.38047i	0.0463256	+	0.0802384i
$297$	−2.67527	+	4.63371i	−0.155235	+	0.268875i
$298$	−1.68434	+	9.55236i	−0.0975712	+	0.553354i
$299$	19.2676	−	16.1675i	1.11428	−	0.934989i
$300$	5.39057	+	4.52323i	0.311225	+	0.261149i
$301$	1.16174	+	6.58853i	0.0669613	+	0.379757i
$302$	−8.13741	−	2.96178i	−0.468255	−	0.170431i
$303$	−15.5364			−0.892542
$304$	−2.87593	−	3.27552i	−0.164946	−	0.187864i
$305$	15.5138			0.888318
$306$	3.31535	+	1.20669i	0.189526	+	0.0689818i
$307$	−1.52412	−	8.64369i	−0.0869858	−	0.493321i	−0.996910	−	0.0785474i	$-0.974972\pi$
$307$	−1.52412	−	8.64369i	−0.0869858	−	0.493321i	0.909925	−	0.414774i	$-0.136139\pi$
$308$	−0.735678	−	0.617307i	−0.0419192	−	0.0351744i
$309$	12.2903	−	10.3128i	0.699173	−	0.586676i
$310$	−3.50486	+	19.8770i	−0.199063	+	1.12894i
$311$	−15.1327	+	26.2106i	−0.858097	+	1.48627i	0.0156443	+	0.999878i	$0.495020\pi$
$311$	−15.1327	+	26.2106i	−0.858097	+	1.48627i	−0.873742	+	0.486390i	$0.838313\pi$
$312$	−3.58152	−	6.20338i	−0.202764	−	0.351197i
$313$	−21.5073	+	7.82802i	−1.21566	+	0.442466i	−0.868665	−	0.495400i	$-0.835022\pi$
$313$	−21.5073	+	7.82802i	−1.21566	+	0.442466i	−0.346999	+	0.937865i	$0.612799\pi$
$314$	−11.3990	+	4.14889i	−0.643282	+	0.234136i
$315$	2.74535	+	4.75509i	0.154683	+	0.267919i
$316$	3.19491	−	5.53374i	0.179727	−	0.311297i
$317$	−2.87642	+	16.3130i	−0.161556	+	0.916228i	0.790989	+	0.611830i	$0.209566\pi$
$317$	−2.87642	+	16.3130i	−0.161556	+	0.916228i	−0.952545	+	0.304398i	$0.901545\pi$
$318$	−3.80555	+	3.19324i	−0.213405	+	0.179068i
$319$	1.37716	+	1.15557i	0.0771060	+	0.0646996i
$320$	0.580957	+	3.29477i	0.0324765	+	0.184183i
$321$	−2.95447	−	1.07534i	−0.164902	−	0.0600195i
$322$	3.83167			0.213531
$323$	8.82517	−	1.76079i	0.491046	−	0.0979728i
$324$	−0.952863			−0.0529368
$325$	−36.6868	−	13.3529i	−2.03502	−	0.740685i
$326$	−0.403956	−	2.29095i	−0.0223731	−	0.126884i
$327$	−15.9914	−	13.4184i	−0.884325	−	0.742037i
$328$	8.33721	−	6.99575i	0.460345	−	0.386276i
$329$	−0.978347	+	5.54848i	−0.0539380	+	0.305898i
$330$	1.90073	−	3.29217i	0.104632	−	0.181228i
$331$	−5.67745	−	9.83363i	−0.312061	−	0.540505i	0.666748	−	0.745284i	$-0.267686\pi$
$331$	−5.67745	−	9.83363i	−0.312061	−	0.540505i	−0.978808	+	0.204779i	$0.934353\pi$
$332$	−6.57496	+	2.39309i	−0.360848	+	0.131338i
$333$	−2.55979	+	0.931686i	−0.140275	+	0.0510561i
$334$	−0.770495	−	1.33454i	−0.0421596	−	0.0730226i
$335$	−21.9470	+	38.0132i	−1.19909	+	2.07689i
$336$	0.189488	−	1.07464i	0.0103374	−	0.0586264i
$337$	−4.64925	+	3.90118i	−0.253261	+	0.212511i	−0.760575	−	0.649250i	$-0.775083\pi$
$337$	−4.64925	+	3.90118i	−0.253261	+	0.212511i	0.507314	+	0.861761i	$0.330638\pi$
$338$	20.4849	+	17.1889i	1.11423	+	0.934952i
$339$	−3.06714	−	17.3946i	−0.166584	−	0.944746i
$340$	−6.49057	−	2.36237i	−0.352000	−	0.128118i
$341$	6.03290			0.326700
$342$	6.36597	−	3.86805i	0.344232	−	0.209160i
$343$	−12.5593			−0.678139
$344$	−6.54619	−	2.38262i	−0.352947	−	0.128462i
$345$	2.63376	+	14.9368i	0.141797	+	0.804169i
$346$	10.0635	+	8.44425i	0.541015	+	0.453966i
$347$	−2.16814	+	1.81928i	−0.116392	+	0.0976642i	−0.699126	−	0.714999i	$-0.746427\pi$
$347$	−2.16814	+	1.81928i	−0.116392	+	0.0976642i	0.582734	+	0.812663i	$0.301983\pi$
$348$	−0.354713	+	2.01168i	−0.0190146	+	0.107837i
$349$	4.48700	−	7.77172i	0.240184	−	0.416011i	−0.720583	−	0.693369i	$-0.756126\pi$
$349$	4.48700	−	7.77172i	0.240184	−	0.416011i	0.960767	+	0.277358i	$0.0894589\pi$
$350$	−2.97377	−	5.15072i	−0.158955	−	0.275318i
$351$	31.6960	−	11.5364i	1.69181	−	0.615767i
$352$	0.939693	−	0.342020i	0.0500858	−	0.0182297i
$353$	−12.6281	−	21.8726i	−0.672128	−	1.16416i	−0.977299	−	0.211863i	$-0.932047\pi$
$353$	−12.6281	−	21.8726i	−0.672128	−	1.16416i	0.305171	−	0.952298i	$-0.401286\pi$
$354$	−3.13754	+	5.43439i	−0.166759	+	0.288834i
$355$	−7.73180	+	43.8492i	−0.410361	+	2.32728i
$356$	−2.62350	+	2.20138i	−0.139045	+	0.116673i
$357$	1.72579	+	1.44811i	0.0913386	+	0.0766422i
$358$	0.973134	+	5.51892i	0.0514318	+	0.291684i
$359$	9.09420	+	3.31002i	0.479973	+	0.174696i	0.570665	−	0.821183i	$-0.306686\pi$
$359$	9.09420	+	3.31002i	0.479973	+	0.174696i	−0.0906916	+	0.995879i	$0.528908\pi$
$360$	−5.71735			−0.301331
$361$	8.75356	−	16.8634i	0.460714	−	0.887549i
$362$	−12.0040			−0.630916
$363$	−1.06773	−	0.388624i	−0.0560415	−	0.0203974i
$364$	1.05129	+	5.96219i	0.0551028	+	0.312504i
$365$	−14.5709	−	12.2265i	−0.762678	−	0.639963i
$366$	4.03623	−	3.38680i	0.210977	−	0.177031i
$367$	−5.83056	+	33.0667i	−0.304353	+	1.72607i	0.322183	+	0.946677i	$0.395583\pi$
$367$	−5.83056	+	33.0667i	−0.304353	+	1.72607i	−0.626536	+	0.779393i	$0.715528\pi$
$368$	−1.99491	+	3.45529i	−0.103992	+	0.180120i
$369$	9.29945	+	16.1071i	0.484110	+	0.838503i
$370$	5.01138	−	1.82399i	0.260529	−	0.0948248i
$371$	3.94554	−	1.43606i	0.204842	−	0.0745564i
$372$	3.42747	+	5.93655i	0.177706	+	0.307796i
$373$	12.6550	−	21.9192i	0.655253	−	1.13493i	−0.326577	−	0.945170i	$-0.605895\pi$
$373$	12.6550	−	21.9192i	0.655253	−	1.13493i	0.981830	−	0.189761i	$-0.0607713\pi$
$374$	−0.358503	+	2.03317i	−0.0185378	+	0.105133i
$375$	3.47422	−	2.91522i	0.179408	−	0.150541i
$376$	−4.49410	−	3.77100i	−0.231765	−	0.194474i
$377$	−1.96798	−	11.1610i	−0.101356	−	0.574818i
$378$	4.82857	+	1.75745i	0.248355	+	0.0903937i
$379$	−10.1449			−0.521111			−0.260555	−	0.965459i	$-0.583906\pi$
$379$	−10.1449			−0.521111			−0.260555	+	0.965459i	$0.583906\pi$
$380$	−12.4629	+	7.57261i	−0.639332	+	0.388466i
$381$	5.70217			0.292131
$382$	−3.43242	−	1.24930i	−0.175618	−	0.0639197i
$383$	−2.97648	−	16.8805i	−0.152091	−	0.862551i	−0.961397	−	0.275164i	$-0.911268\pi$
$383$	−2.97648	−	16.8805i	−0.152091	−	0.862551i	0.809306	−	0.587387i	$-0.199843\pi$
$384$	0.870425	+	0.730373i	0.0444187	+	0.0372717i
$385$	−2.46128	+	2.06526i	−0.125439	+	0.105256i
$386$	−3.09625	+	17.5597i	−0.157595	+	0.893765i
$387$	5.95242	−	10.3099i	0.302578	−	0.524081i
$388$	5.98246	+	10.3619i	0.303713	+	0.526047i
$389$	19.8732	−	7.23325i	1.00761	−	0.366740i	0.215096	−	0.976593i	$-0.430994\pi$
$389$	19.8732	−	7.23325i	1.00761	−	0.366740i	0.792515	+	0.609852i	$0.208771\pi$
$390$	−22.5194	+	8.19640i	−1.14032	+	0.415041i
$391$	−4.11858	−	7.13359i	−0.208285	−	0.360761i
$392$	3.03885	−	5.26345i	0.153485	−	0.265844i
$393$	4.03758	−	22.8982i	0.203669	−	1.15506i
$394$	1.96715	−	1.65063i	0.0991034	−	0.0831576i
$395$	−16.3763	−	13.7413i	−0.823981	−	0.691402i
$396$	0.296750	+	1.68295i	0.0149122	+	0.0845716i
$397$	−21.1109	−	7.68375i	−1.05953	−	0.385637i	−0.247277	−	0.968945i	$-0.579536\pi$
$397$	−21.1109	−	7.68375i	−1.05953	−	0.385637i	−0.812251	+	0.583308i	$0.801758\pi$
$398$	6.40432			0.321019
$399$	4.66457	−	0.930669i	0.233521	−	0.0465917i
$400$	6.19303			0.309652
$401$	20.1708	+	7.34157i	1.00728	+	0.366620i	0.792388	−	0.610017i	$-0.208837\pi$
$401$	20.1708	+	7.34157i	1.00728	+	0.366620i	0.214893	+	0.976638i	$0.431060\pi$
$402$	2.58868	+	14.6811i	0.129112	+	0.732228i
$403$	−29.1340	−	24.4463i	−1.45127	−	1.21776i
$404$	−10.4743	+	8.78901i	−0.521118	+	0.437270i
$405$	−0.553573	+	3.13947i	−0.0275072	+	0.156001i
$406$	0.863244	−	1.49518i	0.0428421	−	0.0742047i
$407$	−0.797016	−	1.38047i	−0.0395066	−	0.0684275i
$408$	−2.20438	+	0.802328i	−0.109133	+	0.0397212i
$409$	30.7882	−	11.2060i	1.52238	−	0.554100i	0.560636	−	0.828062i	$-0.310557\pi$
$409$	30.7882	−	11.2060i	1.52238	−	0.554100i	0.961740	+	0.273962i	$0.0883343\pi$
$410$	−18.2058	−	31.5334i	−0.899122	−	1.55732i
$411$	−4.85268	+	8.40508i	−0.239365	+	0.414592i
$412$	2.45190	−	13.9054i	0.120797	−	0.685071i
$413$	4.06285	−	3.40913i	0.199920	−	0.167753i
$414$	−5.22311	−	4.38271i	−0.256702	−	0.215398i
$415$	4.06492	+	23.0533i	0.199539	+	1.13164i
$416$	−5.92388	−	2.15611i	−0.290442	−	0.105712i
$417$	−2.44716			−0.119838
$418$	2.87593	+	3.27552i	0.140666	+	0.160211i
$419$	−18.5691			−0.907159			−0.453580	−	0.891216i	$-0.649853\pi$
$419$	−18.5691			−0.907159			−0.453580	+	0.891216i	$0.649853\pi$
$420$	−3.43061	−	1.24864i	−0.167397	−	0.0609274i
$421$	1.93014	+	10.9464i	0.0940694	+	0.533494i	0.995029	+	0.0995902i	$0.0317532\pi$
$421$	1.93014	+	10.9464i	0.0940694	+	0.533494i	−0.900959	+	0.433904i	$0.857136\pi$
$422$	5.38771	+	4.52083i	0.262270	+	0.220070i
$423$	7.68003	−	6.44431i	0.373416	−	0.313333i
$424$	−0.759201	+	4.30564i	−0.0368700	+	0.209100i
$425$	−6.39288	+	11.0728i	−0.310100	+	0.537109i
$426$	7.56108	+	13.0962i	0.366336	+	0.634512i
$427$	−4.18470	+	1.52311i	−0.202512	+	0.0737083i
$428$	−2.60017	+	0.946384i	−0.125684	+	0.0457452i
$429$	3.58152	+	6.20338i	0.172917	+	0.299502i
$430$	−11.6532	+	20.1840i	−0.561969	+	0.973360i
$431$	−1.34718	+	7.64025i	−0.0648915	+	0.368018i	0.935018	+	0.354599i	$0.115383\pi$
$431$	−1.34718	+	7.64025i	−0.0648915	+	0.368018i	−0.999910	+	0.0134189i	$0.995728\pi$
$432$	−4.09876	+	3.43927i	−0.197202	+	0.165472i
$433$	10.6507	+	8.93699i	0.511840	+	0.429484i	0.861776	−	0.507289i	$-0.169352\pi$
$433$	10.6507	+	8.93699i	0.511840	+	0.429484i	−0.349936	+	0.936773i	$0.613797\pi$
$434$	−1.00608	−	5.70574i	−0.0482932	−	0.273884i
$435$	6.42195	+	2.33740i	0.307909	+	0.112070i
$436$	−18.3719			−0.879856
$437$	−17.1904	−	2.63560i	−0.822328	−	0.126078i
$438$	−6.46007			−0.308674
$439$	16.0815	+	5.85319i	0.767528	+	0.279357i	0.695962	−	0.718078i	$-0.254978\pi$
$439$	16.0815	+	5.85319i	0.767528	+	0.279357i	0.0715661	+	0.997436i	$0.477200\pi$
$440$	−0.580957	−	3.29477i	−0.0276960	−	0.157072i
$441$	7.95636	+	6.67618i	0.378874	+	0.317913i
$442$	9.97004	−	8.36586i	0.474227	−	0.397923i
$443$	4.20758	−	23.8624i	0.199908	−	1.13374i	−0.705346	−	0.708864i	$-0.749208\pi$
$443$	4.20758	−	23.8624i	0.199908	−	1.13374i	0.905254	−	0.424872i	$-0.139681\pi$
$444$	0.905617	−	1.56857i	0.0429787	−	0.0744413i
$445$	5.72890	+	9.92275i	0.271576	+	0.470384i
$446$	13.6674	−	4.97451i	0.647168	−	0.235550i
$447$	10.3567	−	3.76954i	0.489856	−	0.178293i
$448$	−0.480180	−	0.831696i	−0.0226864	−	0.0392939i
$449$	−0.809745	+	1.40252i	−0.0382142	+	0.0661890i	−0.884500	−	0.466540i	$-0.845500\pi$
$449$	−0.809745	+	1.40252i	−0.0382142	+	0.0661890i	0.846286	+	0.532729i	$0.178834\pi$
$450$	−1.83778	+	10.4226i	−0.0866339	+	0.491325i
$451$	−8.33721	+	6.99575i	−0.392584	+	0.329417i
$452$	−11.9080	−	9.99202i	−0.560107	−	0.469985i
$453$	1.70863	+	9.69012i	0.0802785	+	0.455282i
$454$	−18.3772	−	6.68876i	−0.862486	−	0.313919i
$455$	20.2548			0.949560
$456$	−1.58930	+	4.69092i	−0.0744259	+	0.219672i
$457$	−19.2393			−0.899975			−0.449988	−	0.893035i	$-0.648572\pi$
$457$	−19.2393			−0.899975			−0.449988	+	0.893035i	$0.648572\pi$
$458$	−6.99856	−	2.54727i	−0.327021	−	0.119026i
$459$	−1.91819	−	10.8786i	−0.0895334	−	0.507769i
$460$	10.2254	+	8.58017i	0.476764	+	0.400052i
$461$	−7.26922	+	6.09960i	−0.338561	+	0.284087i	−0.796178	−	0.605063i	$-0.793148\pi$
$461$	−7.26922	+	6.09960i	−0.338561	+	0.284087i	0.457616	+	0.889150i	$0.348703\pi$
$462$	−0.189488	+	1.07464i	−0.00881578	+	0.0499968i
$463$	1.70524	−	2.95357i	0.0792495	−	0.137264i	−0.823677	−	0.567059i	$-0.808081\pi$
$463$	1.70524	−	2.95357i	0.0792495	−	0.137264i	0.902926	+	0.429795i	$0.141414\pi$
$464$	0.898876	+	1.55690i	0.0417293	+	0.0722772i
$465$	21.5508	−	7.84385i	0.999394	−	0.363750i
$466$	7.61920	−	2.77316i	0.352953	−	0.128464i
$467$	−19.1268	−	33.1285i	−0.885081	−	1.53301i	−0.845620	−	0.533785i	$-0.820769\pi$
$467$	−19.1268	−	33.1285i	−0.885081	−	1.53301i	−0.0394609	−	0.999221i	$-0.512564\pi$
$468$	5.38655	−	9.32978i	0.248993	−	0.431269i
$469$	2.18794	−	12.4084i	0.101030	−	0.572967i
$470$	−15.0354	+	12.6162i	−0.693534	+	0.581944i
$471$	10.5587	+	8.85983i	0.486521	+	0.408239i
$472$	0.958987	+	5.43869i	0.0441410	+	0.250336i
$473$	6.54619	+	2.38262i	0.300994	+	0.109553i
$474$	−7.26048			−0.333485
$475$	9.79861	+	25.1537i	0.449591	+	1.15413i
$476$	1.98270			0.0908769
$477$	−7.02090	−	2.55540i	−0.321465	−	0.117004i
$478$	−5.16259	−	29.2785i	−0.236131	−	1.33917i
$479$	25.7748	+	21.6276i	1.17768	+	0.988190i	0.999992	+	0.00410354i	$0.00130620\pi$
$479$	25.7748	+	21.6276i	1.17768	+	0.988190i	0.177688	+	0.984087i	$0.443138\pi$
$480$	2.91209	−	2.44354i	0.132918	−	0.111532i
$481$	−1.74497	+	9.89621i	−0.0795637	+	0.451228i
$482$	12.1299	−	21.0096i	0.552502	−	0.956961i
$483$	−2.17689	−	3.77048i	−0.0990518	−	0.171563i
$484$	−0.939693	+	0.342020i	−0.0427133	+	0.0155464i
$485$	37.6157	−	13.6910i	1.70804	−	0.621676i
$486$	−7.48447	−	12.9635i	−0.339503	−	0.588036i
$487$	−14.4913	+	25.0997i	−0.656665	+	1.13738i	0.324808	+	0.945780i	$0.394700\pi$
$487$	−14.4913	+	25.0997i	−0.656665	+	1.13738i	−0.981474	+	0.191598i	$0.938633\pi$
$488$	0.805220	−	4.56663i	0.0364506	−	0.206722i
$489$	−2.02486	+	1.69906i	−0.0915674	+	0.0768341i
$490$	−15.5764	−	13.0702i	−0.703671	−	0.590450i
$491$	1.77005	+	10.0385i	0.0798814	+	0.453030i	0.998344	+	0.0575224i	$0.0183201\pi$
$491$	1.77005	+	10.0385i	0.0798814	+	0.453030i	−0.918463	+	0.395507i	$0.870569\pi$
$492$	−11.6206	−	4.22956i	−0.523899	−	0.190684i
$493$	−3.71153			−0.167159
$494$	−0.615464	−	27.4719i	−0.0276911	−	1.23602i
$495$	5.71735			0.256976
$496$	5.66907	+	2.06337i	0.254549	+	0.0926482i
$497$	−2.21943	−	12.5870i	−0.0995549	−	0.564604i
$498$	6.09030	+	5.11037i	0.272913	+	0.229001i
$499$	3.32739	−	2.79201i	0.148954	−	0.124987i	−0.565265	−	0.824909i	$-0.691226\pi$
$499$	3.32739	−	2.79201i	0.148954	−	0.124987i	0.714220	+	0.699922i	$0.246782\pi$
$500$	0.693101	−	3.93077i	0.0309964	−	0.175789i
$501$	−0.875482	+	1.51638i	−0.0391136	+	0.0677468i
$502$	−10.5898	−	18.3421i	−0.472648	−	0.818650i
$503$	25.2505	−	9.19043i	1.12586	−	0.409781i	0.289075	−	0.957306i	$-0.406652\pi$
$503$	25.2505	−	9.19043i	1.12586	−	0.409781i	0.836789	+	0.547525i	$0.184430\pi$
$504$	1.54220	−	0.561314i	0.0686950	−	0.0250029i
$505$	22.8727	+	39.6166i	1.01782	+	1.76292i
$506$	1.99491	−	3.45529i	0.0886848	−	0.153607i
$507$	5.27628	−	29.9233i	0.234328	−	1.32894i
$508$	3.84430	−	3.22575i	0.170563	−	0.143119i
$509$	−22.6374	−	18.9950i	−1.00338	−	0.841939i	−0.0159346	−	0.999873i	$-0.505072\pi$
$509$	−22.6374	−	18.9950i	−1.00338	−	0.841939i	−0.987450	+	0.157934i	$0.949517\pi$
$510$	1.36284	+	7.72904i	0.0603475	+	0.342248i
$511$	5.13073	+	1.86743i	0.226970	+	0.0826104i
$512$	1.00000			0.0441942
$513$	−20.4540	−	11.2059i	−0.903066	−	0.494754i
$514$	−10.1973			−0.449784
$515$	−44.3907	−	16.1569i	−1.95609	−	0.711959i
$516$	1.37452	+	7.79528i	0.0605098	+	0.343168i
$517$	4.49410	+	3.77100i	0.197650	+	0.165848i
$518$	−1.17270	+	0.984008i	−0.0515253	+	0.0432348i
$519$	2.59204	−	14.7002i	0.113778	−	0.645266i
$520$	−10.5454	+	18.2652i	−0.462447	+	0.800983i
$521$	−4.14244	−	7.17491i	−0.181483	−	0.314338i	0.760902	−	0.648866i	$-0.224757\pi$
$521$	−4.14244	−	7.17491i	−0.181483	−	0.314338i	−0.942386	+	0.334528i	$0.891423\pi$
$522$	−2.88693	+	1.05076i	−0.126357	+	0.0459903i
$523$	11.8831	−	4.32511i	0.519613	−	0.189124i	−0.0688816	−	0.997625i	$-0.521943\pi$
$523$	11.8831	−	4.32511i	0.519613	−	0.189124i	0.588495	+	0.808501i	$0.299721\pi$
$524$	−10.2316	−	17.7216i	−0.446969	−	0.774173i
$525$	−3.37897	+	5.85255i	−0.147470	+	0.255426i
$526$	−0.731992	+	4.15133i	−0.0319164	+	0.181007i
$527$	−9.54120	+	8.00602i	−0.415621	+	0.348748i
$528$	−0.870425	−	0.730373i	−0.0378804	−	0.0317854i
$529$	−1.22965	−	6.97368i	−0.0534629	−	0.303203i
$530$	13.7450	+	5.00279i	0.597046	+	0.217307i
$531$	−9.43763			−0.409558
$532$	2.61828	−	3.26621i	0.113517	−	0.141608i
$533$	68.6099			2.97182
$534$	3.65671	+	1.33093i	0.158241	+	0.0575952i
$535$	1.60753	+	9.11677i	0.0694997	+	0.394153i
$536$	10.0504	+	8.43331i	0.434112	+	0.364263i
$537$	4.87791	−	4.09305i	0.210497	−	0.176628i
$538$	−4.03269	+	22.8705i	−0.173862	+	0.986019i
$539$	−3.03885	+	5.26345i	−0.130893	+	0.226713i
$540$	8.95039	+	15.5025i	0.385164	+	0.667123i
$541$	−8.83139	+	3.21436i	−0.379691	+	0.138196i	−0.524813	−	0.851218i	$-0.675865\pi$
$541$	−8.83139	+	3.21436i	−0.379691	+	0.138196i	0.145122	+	0.989414i	$0.453643\pi$
$542$	−5.26034	+	1.91461i	−0.225951	+	0.0822395i
$543$	6.81983	+	11.8123i	0.292667	+	0.506914i
$544$	−1.03227	+	1.78794i	−0.0442582	+	0.0766574i
$545$	−10.6733	+	60.5313i	−0.457194	+	2.59288i
$546$	5.26970	−	4.42180i	0.225522	−	0.189236i
$547$	1.57008	+	1.31745i	0.0671316	+	0.0563301i	0.675736	−	0.737144i	$-0.263826\pi$
$547$	1.57008	+	1.31745i	0.0671316	+	0.0563301i	−0.608604	+	0.793474i	$0.708270\pi$
$548$	1.48322	+	8.41173i	0.0633598	+	0.359331i
$549$	7.44648	+	2.71030i	0.317808	+	0.115673i
$550$	−6.19303			−0.264072
$551$	−4.90131	+	6.11420i	−0.208803	+	0.260474i
$552$	4.53348			0.192958
$553$	5.76644	+	2.09881i	0.245214	+	0.0892506i
$554$	5.76926	+	32.7191i	0.245112	+	1.39010i
$555$	−4.64197	−	3.89508i	−0.197041	−	0.165337i
$556$	−1.64983	+	1.38437i	−0.0699683	+	0.0587104i
$557$	−5.01980	+	28.4687i	−0.212696	+	1.20626i	0.672164	+	0.740402i	$0.265365\pi$
$557$	−5.01980	+	28.4687i	−0.212696	+	1.20626i	−0.884860	+	0.465856i	$0.845746\pi$
$558$	−5.15486	+	8.92848i	−0.218223	+	0.377973i
$559$	−21.9580	−	38.0324i	−0.928725	−	1.60860i
$560$	−3.01921	+	1.09890i	−0.127585	+	0.0464372i
$561$	2.20438	−	0.802328i	0.0930689	−	0.0338743i
$562$	−13.7998	−	23.9020i	−0.582110	−	1.00824i
$563$	16.6966	−	28.9194i	0.703679	−	1.21881i	−0.263488	−	0.964663i	$-0.584873\pi$
$563$	16.6966	−	28.9194i	0.703679	−	1.21881i	0.967166	−	0.254144i	$-0.0817939\pi$
$564$	−1.15754	+	6.56474i	−0.0487412	+	0.276425i
$565$	−39.8395	+	33.4293i	−1.67606	+	1.40638i
$566$	−1.72376	−	1.44641i	−0.0724551	−	0.0607970i
$567$	−0.158904	−	0.901189i	−0.00667334	−	0.0378464i
$568$	12.5061	+	4.55185i	0.524745	+	0.190992i
$569$	19.8775			0.833309			0.416654	−	0.909065i	$-0.363203\pi$
$569$	19.8775			0.833309			0.416654	+	0.909065i	$0.363203\pi$
$570$	14.5322	+	7.96161i	0.608687	+	0.333475i
$571$	5.90320			0.247041			0.123521	−	0.992342i	$-0.460582\pi$
$571$	5.90320			0.247041			0.123521	+	0.992342i	$0.460582\pi$
$572$	5.92388	+	2.15611i	0.247690	+	0.0901517i
$573$	0.720713	+	4.08737i	0.0301082	+	0.170752i
$574$	8.00672	+	6.71844i	0.334194	+	0.280422i
$575$	18.9283	−	15.8827i	0.789365	−	0.662356i
$576$	−0.296750	+	1.68295i	−0.0123646	+	0.0701230i
$577$	12.7783	−	22.1327i	0.531969	−	0.921397i	−0.467335	−	0.884081i	$-0.654786\pi$
$577$	12.7783	−	22.1327i	0.531969	−	0.921397i	0.999303	−	0.0373166i	$-0.0118810\pi$
$578$	6.36884	+	11.0312i	0.264909	+	0.458836i
$579$	19.0383	−	6.92938i	0.791206	−	0.287975i
$580$	5.65183	−	2.05710i	0.234680	−	0.0854164i
$581$	−3.35979	−	5.81932i	−0.139387	−	0.241426i
$582$	6.79762	−	11.7738i	0.281771	−	0.488041i
$583$	0.759201	−	4.30564i	0.0314429	−	0.178321i
$584$	−4.35525	+	3.65449i	−0.180222	+	0.151224i
$585$	−27.6101	−	23.1677i	−1.14154	−	0.957865i
$586$	−5.37866	−	30.5039i	−0.222190	−	1.26010i
$587$	36.1684	+	13.1642i	1.49283	+	0.543345i	0.954192	−	0.299194i	$-0.0967178\pi$
$587$	36.1684	+	13.1642i	1.49283	+	0.543345i	0.538636	+	0.842539i	$0.318940\pi$
$588$	−6.90585			−0.284793
$589$	0.588991	+	26.2902i	0.0242690	+	1.08327i
$590$	18.4764			0.760660
$591$	−2.74186	−	0.997957i	−0.112785	−	0.0410504i
$592$	−0.276801	−	1.56982i	−0.0113764	−	0.0645190i
$593$	8.61468	+	7.22858i	0.353763	+	0.296842i	0.802299	−	0.596923i	$-0.203610\pi$
$593$	8.61468	+	7.22858i	0.353763	+	0.296842i	−0.448536	+	0.893765i	$0.648055\pi$
$594$	4.09876	−	3.43927i	0.168174	−	0.141115i
$595$	1.15186	−	6.53254i	0.0472218	−	0.267808i
$596$	4.84986	−	8.40021i	0.198658	−	0.344086i
$597$	−3.63848	−	6.30203i	−0.148913	−	0.257925i
$598$	−23.6353	+	8.60253i	−0.966518	+	0.351784i
$599$	−15.6256	+	5.68727i	−0.638446	+	0.232375i	−0.640903	−	0.767622i	$-0.721440\pi$
$599$	−15.6256	+	5.68727i	−0.638446	+	0.232375i	0.00245716	+	0.999997i	$0.499218\pi$
$600$	−3.51844	−	6.09413i	−0.143640	−	0.248792i
$601$	−5.18536	+	8.98130i	−0.211515	+	0.366355i	−0.952189	−	0.305510i	$-0.901173\pi$
$601$	−5.18536	+	8.98130i	−0.211515	+	0.366355i	0.740674	+	0.671865i	$0.234506\pi$
$602$	1.16174	−	6.58853i	0.0473488	−	0.268528i
$603$	−17.1753	+	14.4118i	−0.699433	+	0.586894i
$604$	6.63368	+	5.56632i	0.269921	+	0.226490i
$605$	0.580957	+	3.29477i	0.0236193	+	0.133952i
$606$	14.5994	+	5.31376i	0.593061	+	0.215857i
$607$	−2.58857			−0.105067			−0.0525334	−	0.998619i	$-0.516730\pi$
$607$	−2.58857			−0.105067			−0.0525334	+	0.998619i	$0.516730\pi$
$608$	1.58220	+	4.06161i	0.0641667	+	0.164720i
$609$	−1.96174			−0.0794937
$610$	−14.5782	−	5.30604i	−0.590255	−	0.214835i
$611$	−6.42213	−	36.4217i	−0.259811	−	1.47346i
$612$	−2.70270	−	2.26783i	−0.109250	−	0.0916717i
$613$	22.0219	−	18.4786i	0.889455	−	0.746342i	−0.0786454	−	0.996903i	$-0.525059\pi$
$613$	22.0219	−	18.4786i	0.889455	−	0.746342i	0.968101	+	0.250561i	$0.0806150\pi$
$614$	−1.52412	+	8.64369i	−0.0615083	+	0.348831i
$615$	−20.6865	+	35.8301i	−0.834162	+	1.44481i
$616$	0.480180	+	0.831696i	0.0193470	+	0.0335100i
$617$	−16.3973	+	5.96813i	−0.660131	+	0.240268i	−0.650293	−	0.759684i	$-0.725354\pi$
$617$	−16.3973	+	5.96813i	−0.660131	+	0.240268i	−0.00983804	+	0.999952i	$0.503132\pi$
$618$	−15.0763	+	5.48734i	−0.606459	+	0.220733i
$619$	−4.02404	−	6.96984i	−0.161740	−	0.280141i	0.773753	−	0.633487i	$-0.218377\pi$
$619$	−4.02404	−	6.96984i	−0.161740	−	0.280141i	−0.935493	+	0.353346i	$0.885044\pi$
$620$	10.0918	−	17.4796i	0.405298	−	0.701996i
$621$	−3.70700	+	21.0235i	−0.148757	+	0.843642i
$622$	23.1847	−	19.4542i	0.929620	−	0.780044i
$623$	−2.51951	−	2.11412i	−0.100942	−	0.0847003i
$624$	1.24385	+	7.05422i	0.0497938	+	0.282395i
$625$	16.5494	+	6.02349i	0.661976	+	0.240940i
$626$	22.8876			0.914772
$627$	1.58930	−	4.69092i	0.0634706	−	0.187337i
$628$	12.1306			0.484062
$629$	3.09247	+	1.12557i	0.123305	+	0.0448793i
$630$	−0.953452	−	5.40729i	−0.0379864	−	0.215432i
$631$	−35.6224	−	29.8908i	−1.41811	−	1.18993i	−0.952345	−	0.305022i	$-0.901336\pi$
$631$	−35.6224	−	29.8908i	−1.41811	−	1.18993i	−0.465761	−	0.884911i	$-0.654219\pi$
$632$	−4.89488	+	4.10729i	−0.194708	+	0.163379i
$633$	1.38771	−	7.87008i	0.0551564	−	0.312808i
$634$	8.28232	−	14.3454i	0.328933	−	0.569728i
$635$	−8.39473	−	14.5401i	−0.333135	−	0.577006i
$636$	4.66820	−	1.69909i	0.185106	−	0.0673731i
$637$	36.0036	−	13.1042i	1.42651	−	0.519209i
$638$	−0.898876	−	1.55690i	−0.0355868	−	0.0616382i
$639$	−11.3717	+	19.6964i	−0.449859	+	0.779179i
$640$	0.580957	−	3.29477i	0.0229643	−	0.130237i
$641$	28.7905	−	24.1581i	1.13715	−	0.954186i	0.137813	−	0.990458i	$-0.455993\pi$
$641$	28.7905	−	24.1581i	1.13715	−	0.954186i	0.999342	+	0.0362724i	$0.0115484\pi$
$642$	2.40850	+	2.02097i	0.0950560	+	0.0797615i
$643$	1.15603	+	6.55620i	0.0455895	+	0.258551i	0.999081	−	0.0428700i	$-0.0136501\pi$
$643$	1.15603	+	6.55620i	0.0455895	+	0.258551i	−0.953491	+	0.301421i	$0.902539\pi$
$644$	−3.60059	−	1.31051i	−0.141883	−	0.0516413i
$645$	26.4822			1.04274
$646$	−8.89517	−	1.36379i	−0.349976	−	0.0536576i
$647$	22.0354			0.866301			0.433151	−	0.901322i	$-0.357402\pi$
$647$	22.0354			0.866301			0.433151	+	0.901322i	$0.357402\pi$
$648$	0.895398	+	0.325898i	0.0351746	+	0.0128025i
$649$	−0.958987	−	5.43869i	−0.0376435	−	0.213487i
$650$	29.9073	+	25.0952i	1.17306	+	0.984316i
$651$	−5.04303	+	4.23161i	−0.197652	+	0.165850i
$652$	−0.403956	+	2.29095i	−0.0158201	+	0.0897205i
$653$	−2.70534	+	4.68578i	−0.105868	+	0.183369i	−0.914093	−	0.405506i	$-0.867095\pi$
$653$	−2.70534	+	4.68578i	−0.105868	+	0.183369i	0.808225	+	0.588874i	$0.200429\pi$
$654$	10.4376	+	18.0785i	0.408144	+	0.706926i
$655$	−64.3328	+	23.4152i	−2.51369	+	0.914909i
$656$	−10.2271	+	3.72236i	−0.399301	+	0.145334i
$657$	−4.85792	−	8.41416i	−0.189525	−	0.328268i
$658$	2.81704	−	4.87925i	0.109820	−	0.190213i
$659$	5.03847	−	28.5746i	0.196271	−	1.11311i	−0.714327	−	0.699812i	$-0.753267\pi$
$659$	5.03847	−	28.5746i	0.196271	−	1.11311i	0.910597	−	0.413295i	$-0.135622\pi$
$660$	−2.91209	+	2.44354i	−0.113353	+	0.0951145i
$661$	38.7878	+	32.5468i	1.50867	+	1.26593i	0.866292	+	0.499538i	$0.166497\pi$
$661$	38.7878	+	32.5468i	1.50867	+	1.26593i	0.642379	+	0.766387i	$0.277948\pi$
$662$	1.97176	+	11.1824i	0.0766345	+	0.434616i
$663$	−13.8965	−	5.05792i	−0.539696	−	0.196433i
$664$	6.99693			0.271534
$665$	−9.24031	−	10.5242i	−0.358324	−	0.408110i
$666$	2.72407			0.105555
$667$	6.74016	+	2.45322i	0.260980	+	0.0949889i
$668$	0.267590	+	1.51758i	0.0103534	+	0.0587169i
$669$	−12.6599	−	10.6229i	−0.489460	−	0.410705i
$670$	33.6247	−	28.2145i	1.29904	−	1.09002i
$671$	−0.805220	+	4.56663i	−0.0310852	+	0.176293i
$672$	−0.545609	+	0.945022i	−0.0210473	+	0.0364550i
$673$	21.8970	+	37.9268i	0.844069	+	1.46197i	0.886427	+	0.462868i	$0.153179\pi$
$673$	21.8970	+	37.9268i	0.844069	+	1.46197i	−0.0423587	+	0.999102i	$0.513487\pi$
$674$	5.70315	−	2.07578i	0.219677	−	0.0799559i
$675$	31.1378	−	11.3332i	1.19849	−	0.436216i
$676$	−13.3706	−	23.1585i	−0.514253	−	0.890712i
$677$	7.16684	−	12.4133i	0.275444	−	0.477083i	−0.694803	−	0.719200i	$-0.744508\pi$
$677$	7.16684	−	12.4133i	0.275444	−	0.477083i	0.970247	+	0.242117i	$0.0778418\pi$
$678$	−3.06714	+	17.3946i	−0.117793	+	0.668036i
$679$	−8.80233	+	7.38603i	−0.337802	+	0.283450i
$680$	5.29116	+	4.43981i	0.202907	+	0.170259i
$681$	3.85871	+	21.8838i	0.147866	+	0.838589i
$682$	−5.66907	−	2.06337i	−0.217080	−	0.0790107i
$683$	−39.1941			−1.49972			−0.749861	−	0.661595i	$-0.769880\pi$
$683$	−39.1941			−1.49972			−0.749861	+	0.661595i	$0.769880\pi$
$684$	−7.30501	+	1.45749i	−0.279314	+	0.0557283i
$685$	28.5764			1.09185
$686$	11.8019	+	4.29554i	0.450598	+	0.164004i
$687$	1.46950	+	8.33397i	0.0560651	+	0.317961i
$688$	5.33651	+	4.47786i	0.203452	+	0.170717i
$689$	−21.1135	+	17.7163i	−0.804361	+	0.674939i
$690$	2.63376	−	14.9368i	0.100265	−	0.568634i
$691$	9.45108	−	16.3697i	0.359536	−	0.622734i	−0.628347	−	0.777933i	$-0.716268\pi$
$691$	9.45108	−	16.3697i	0.359536	−	0.622734i	0.987883	+	0.155198i	$0.0496017\pi$
$692$	−6.56846	−	11.3769i	−0.249695	−	0.432485i
$693$	−1.54220	+	0.561314i	−0.0585833	+	0.0213226i
$694$	2.65961	−	0.968020i	0.100958	−	0.0367456i
$695$	3.60271	+	6.24007i	0.136658	+	0.236699i
$696$	1.02136	−	1.76904i	0.0387144	−	0.0670553i
$697$	3.90175	−	22.1279i	0.147789	−	0.838156i
$698$	−6.87449	+	5.76838i	−0.260203	+	0.218336i
$699$	−7.05757	−	5.92200i	−0.266942	−	0.223991i
$700$	1.03278	+	5.85718i	0.0390354	+	0.221381i
$701$	−37.6999	−	13.7216i	−1.42391	−	0.518259i	−0.488728	−	0.872436i	$-0.662539\pi$
$701$	−37.6999	−	13.7216i	−1.42391	−	0.518259i	−0.935178	+	0.354177i	$0.884761\pi$
$702$	−33.7302			−1.27306
$703$	5.93802	−	3.60802i	0.223957	−	0.136079i
$704$	−1.00000			−0.0376889
$705$	20.9568	+	7.62766i	0.789280	+	0.287274i
$706$	4.38571	+	24.8726i	0.165058	+	0.936092i
$707$	−10.0591	−	8.44062i	−0.378313	−	0.317442i
$708$	4.80700	−	4.03355i	0.180658	−	0.151590i
$709$	5.98703	−	33.9541i	0.224848	−	1.27517i	−0.638129	−	0.769929i	$-0.720291\pi$
$709$	5.98703	−	33.9541i	0.224848	−	1.27517i	0.862976	−	0.505244i	$-0.168598\pi$
$710$	22.2628	−	38.5604i	0.835509	−	1.44714i
$711$	−5.45982	−	9.45669i	−0.204759	−	0.354654i
$712$	3.21820	−	1.17133i	0.120607	−	0.0438975i
$713$	22.6186	−	8.23251i	0.847075	−	0.308310i
$714$	−1.12643	−	1.95103i	−0.0421556	−	0.0730156i
$715$	10.5454	−	18.2652i	0.394377	−	0.683080i
$716$	0.973134	−	5.51892i	0.0363677	−	0.206252i
$717$	−25.8779	+	21.7141i	−0.966428	+	0.810929i
$718$	−7.41366	−	6.22080i	−0.276675	−	0.232158i
$719$	2.41219	+	13.6802i	0.0899596	+	0.510186i	0.996176	+	0.0873717i	$0.0278468\pi$
$719$	2.41219	+	13.6802i	0.0899596	+	0.510186i	−0.906216	+	0.422815i	$0.861042\pi$
$720$	5.37255	+	1.95545i	0.200223	+	0.0728752i
$721$	13.5602			0.505009
$722$	−13.9933	+	12.8525i	−0.520776	+	0.478322i
$723$	−27.5654			−1.02517
$724$	11.2801	+	4.10561i	0.419221	+	0.152584i
$725$	−1.93332	−	10.9644i	−0.0718016	−	0.407207i
$726$	0.870425	+	0.730373i	0.0323045	+	0.0271067i
$727$	−30.4806	+	25.5762i	−1.13046	+	0.948570i	−0.999085	−	0.0427624i	$-0.986384\pi$
$727$	−30.4806	+	25.5762i	−1.13046	+	0.948570i	−0.131377	+	0.991333i	$0.541940\pi$
$728$	1.05129	−	5.96219i	0.0389636	−	0.220973i
$729$	−9.93359	+	17.2055i	−0.367911	+	0.637240i
$730$	9.51050	+	16.4727i	0.351999	+	0.609681i
$731$	−13.5149	+	4.91901i	−0.499865	+	0.181936i
$732$	−4.95117	+	1.80208i	−0.183000	+	0.0666067i
$733$	7.30645	+	12.6552i	0.269870	+	0.467429i	0.968828	−	0.247734i	$-0.0796859\pi$
$733$	7.30645	+	12.6552i	0.269870	+	0.467429i	−0.698958	+	0.715163i	$0.746353\pi$
$734$	16.7884	−	29.0784i	0.619672	−	1.07330i
$735$	−4.01200	+	22.7532i	−0.147985	+	0.839265i
$736$	3.05639	−	2.56461i	0.112660	−	0.0945329i
$737$	−10.0504	−	8.43331i	−0.370212	−	0.310645i
$738$	−3.22966	−	18.3163i	−0.118886	−	0.674234i
$739$	−10.1214	−	3.68389i	−0.372322	−	0.135514i	0.149080	−	0.988825i	$-0.452369\pi$
$739$	−10.1214	−	3.68389i	−0.372322	−	0.135514i	−0.521403	+	0.853311i	$0.674591\pi$
$740$	−5.33299			−0.196045
$741$	−26.6834	+	16.2132i	−0.980241	+	0.595607i
$742$	−4.19875			−0.154141
$743$	12.0280	+	4.37784i	0.441265	+	0.160607i	0.553092	−	0.833120i	$-0.313448\pi$
$743$	12.0280	+	4.37784i	0.441265	+	0.160607i	−0.111827	+	0.993728i	$0.535670\pi$
$744$	−1.19035	−	6.75080i	−0.0436403	−	0.247496i
$745$	−24.8592	−	20.8594i	−0.910771	−	0.764227i
$746$	−19.3886	+	16.2690i	−0.709869	+	0.595650i
$747$	−2.07634	+	11.7755i	−0.0759693	+	0.430843i
$748$	1.03227	−	1.78794i	0.0377435	−	0.0653737i
$749$	−1.32868	−	2.30134i	−0.0485489	−	0.0840891i
$750$	−4.26176	+	1.55116i	−0.155618	+	0.0566402i
$751$	26.7920	−	9.75148i	0.977653	−	0.355836i	0.196725	−	0.980459i	$-0.436969\pi$
$751$	26.7920	−	9.75148i	0.977653	−	0.355836i	0.780927	+	0.624622i	$0.214747\pi$
$752$	2.93331	+	5.08065i	0.106967	+	0.185272i
$753$	−12.0328	+	20.8414i	−0.438500	+	0.759504i
$754$	−1.96798	+	11.1610i	−0.0716695	+	0.406458i
$755$	22.1936	−	18.6227i	0.807709	−	0.677748i
$756$	−3.93628	−	3.30293i	−0.143161	−	0.120127i
$757$	2.06722	+	11.7238i	0.0751345	+	0.426109i	0.999053	+	0.0435188i	$0.0138568\pi$
$757$	2.06722	+	11.7238i	0.0751345	+	0.426109i	−0.923918	+	0.382590i	$0.875032\pi$
$758$	9.53313	+	3.46978i	0.346259	+	0.126028i
$759$	−4.53348			−0.164555
$760$	14.3013	−	2.85337i	0.518761	−	0.103502i
$761$	−8.03881			−0.291407			−0.145703	−	0.989328i	$-0.546545\pi$
$761$	−8.03881			−0.291407			−0.145703	+	0.989328i	$0.546545\pi$
$762$	−5.35829	−	1.95026i	−0.194110	−	0.0706504i
$763$	−3.06379	−	17.3756i	−0.110917	−	0.629039i
$764$	2.79813	+	2.34791i	0.101233	+	0.0849445i
$765$	−9.04214	+	7.58726i	−0.326919	+	0.274318i
$766$	−2.97648	+	16.8805i	−0.107545	+	0.609916i
$767$	−17.4074	+	30.1504i	−0.628543	+	1.08867i
$768$	−0.568130	−	0.984029i	−0.0205006	−	0.0355081i
$769$	43.6501	−	15.8873i	1.57406	−	0.572912i	0.600161	−	0.799879i	$-0.295103\pi$
$769$	43.6501	−	15.8873i	1.57406	−	0.572912i	0.973902	+	0.226967i	$0.0728811\pi$
$770$	3.01921	−	1.09890i	0.108805	−	0.0396017i
$771$	5.79339	+	10.0344i	0.208644	+	0.361382i
$772$	8.91529	−	15.4417i	0.320868	−	0.555760i
$773$	2.32963	−	13.2120i	0.0837910	−	0.475202i	−0.913820	−	0.406120i	$-0.866882\pi$
$773$	2.32963	−	13.2120i	0.0837910	−	0.475202i	0.997611	−	0.0690827i	$-0.0220072\pi$
$774$	−9.11964	+	7.65228i	−0.327799	+	0.275056i
$775$	−28.6209	−	24.0158i	−1.02809	−	0.862673i
$776$	−2.07769	−	11.7831i	−0.0745846	−	0.422990i
$777$	1.63454	+	0.594922i	0.0586386	+	0.0213427i
$778$	−21.1486			−0.758215
$779$	−31.3001	−	35.6489i	−1.12144	−	1.27726i
$780$	23.9647			0.858073
$781$	−12.5061	−	4.55185i	−0.447504	−	0.162878i
$782$	1.43037	+	8.11202i	0.0511498	+	0.290085i
$783$	7.36855	+	6.18295i	0.263330	+	0.220960i
$784$	−4.65580	+	3.90668i	−0.166278	+	0.139524i
$785$	7.04733	−	39.9674i	0.251530	−	1.42650i
$786$	−11.6257	+	20.1364i	−0.414676	+	0.718240i
$787$	−16.0149	−	27.7386i	−0.570869	−	0.988773i	−0.996477	−	0.0838660i	$-0.973273\pi$
$787$	−16.0149	−	27.7386i	−0.570869	−	0.988773i	0.425608	−	0.904907i	$-0.360060\pi$
$788$	−2.41306	+	0.878283i	−0.0859618	+	0.0312875i
$789$	4.50090	−	1.63819i	0.160236	−	0.0583212i
$790$	10.6889	+	18.5137i	0.380293	+	0.658687i
$791$	7.46432	−	12.9286i	0.265400	−	0.459687i
$792$	0.296750	−	1.68295i	0.0105446	−	0.0598011i
$793$	22.3933	−	18.7902i	0.795211	−	0.667261i
$794$	17.2098	+	14.4407i	0.610753	+	0.512482i
$795$	−2.88608	−	16.3678i	−0.102359	−	0.580504i
$796$	−6.01809	−	2.19040i	−0.213305	−	0.0776368i
$797$	0.520869			0.0184501			0.00922506	−	0.999957i	$-0.497064\pi$
$797$	0.520869			0.0184501			0.00922506	+	0.999957i	$0.497064\pi$
$798$	−4.70157	−	0.720835i	−0.166434	−	0.0255173i
$799$	−12.1119			−0.428487
$800$	−5.81955	−	2.11814i	−0.205752	−	0.0748876i
$801$	1.01629	+	5.76368i	0.0359089	+	0.203650i
$802$	−16.4434	−	13.7976i	−0.580636	−	0.487211i
$803$	4.35525	−	3.65449i	0.153694	−	0.128964i
$804$	2.58868	−	14.6811i	0.0912956	−	0.517763i
$805$	−6.40962	+	11.1018i	−0.225909	+	0.391287i
$806$	19.0159	+	32.9365i	0.669806	+	1.16014i
$807$	24.7964	−	9.02514i	0.872873	−	0.317700i
$808$	12.8487	−	4.67654i	0.452015	−	0.164520i
$809$	−11.2798	−	19.5372i	−0.396576	−	0.686890i	0.596725	−	0.802446i	$-0.296468\pi$
$809$	−11.2798	−	19.5372i	−0.396576	−	0.686890i	−0.993301	+	0.115556i	$0.963135\pi$
$810$	1.59395	−	2.76080i	0.0560057	−	0.0970046i
$811$	0.784713	−	4.45033i	0.0275550	−	0.156272i	−0.967926	−	0.251237i	$-0.919163\pi$
$811$	0.784713	−	4.45033i	0.0275550	−	0.156272i	0.995481	+	0.0949647i	$0.0302738\pi$
$812$	−1.32257	+	1.10977i	−0.0464130	+	0.0389451i
$813$	4.87259	+	4.08859i	0.170889	+	0.143393i
$814$	0.276801	+	1.56982i	0.00970187	+	0.0550220i
$815$	7.31347	+	2.66189i	0.256180	+	0.0932418i
$816$	2.34585			0.0821212
$817$	−9.74389	+	28.7597i	−0.340895	+	1.00617i
$818$	−32.7641			−1.14557
$819$	9.72211	+	3.53856i	0.339718	+	0.123647i
$820$	6.32282	+	35.8585i	0.220802	+	1.25223i
$821$	14.3156	+	12.0122i	0.499617	+	0.419229i	0.857458	−	0.514554i	$-0.172042\pi$
$821$	14.3156	+	12.0122i	0.499617	+	0.419229i	−0.357841	+	0.933783i	$0.616487\pi$
$822$	7.43473	−	6.23848i	0.259316	−	0.217592i
$823$	6.46465	−	36.6628i	0.225343	−	1.27799i	−0.636684	−	0.771125i	$-0.719694\pi$
$823$	6.46465	−	36.6628i	0.225343	−	1.27799i	0.862028	−	0.506861i	$-0.169194\pi$
$824$	−7.05997	+	12.2282i	−0.245946	+	0.425990i
$825$	3.51844	+	6.09413i	0.122497	+	0.212170i
$826$	−4.98382	+	1.81396i	−0.173409	+	0.0631158i
$827$	22.2146	−	8.08545i	0.772477	−	0.281159i	0.0744449	−	0.997225i	$-0.476282\pi$
$827$	22.2146	−	8.08545i	0.772477	−	0.281159i	0.698032	+	0.716066i	$0.254059\pi$
$828$	3.40914	+	5.90480i	0.118476	+	0.205206i
$829$	17.1830	−	29.7618i	0.596789	−	1.03367i	−0.396503	−	0.918034i	$-0.629776\pi$
$829$	17.1830	−	29.7618i	0.596789	−	1.03367i	0.993292	−	0.115636i	$-0.0368905\pi$
$830$	4.06492	−	23.0533i	0.141095	−	0.800191i
$831$	28.9188	−	24.2658i	1.00318	−	0.841771i
$832$	4.82919	+	4.05217i	0.167422	+	0.140484i
$833$	−2.17888	−	12.3570i	−0.0754937	−	0.428146i
$834$	2.29958	+	0.836978i	0.0796279	+	0.0289822i
$835$	5.15553			0.178415
$836$	−1.58220	−	4.06161i	−0.0547215	−	0.140474i
$837$	32.2793			1.11574
$838$	17.4492	+	6.35100i	0.602774	+	0.219392i
$839$	5.40061	+	30.6284i	0.186450	+	1.05741i	0.924079	+	0.382202i	$0.124834\pi$
$839$	5.40061	+	30.6284i	0.186450	+	1.05741i	−0.737629	+	0.675206i	$0.764055\pi$
$840$	2.79666	+	2.34667i	0.0964938	+	0.0809680i
$841$	−19.7395	+	16.5634i	−0.680672	+	0.571152i
$842$	1.93014	−	10.9464i	0.0665171	−	0.377237i
$843$	−15.6802	+	27.1588i	−0.540054	+	0.935400i
$844$	−3.51658	−	6.09089i	−0.121046	−	0.209657i
$845$	−84.0697	+	30.5989i	−2.89209	+	1.05263i
$846$	−9.42095	+	3.42895i	−0.323899	+	0.117890i
$847$	−0.480180	−	0.831696i	−0.0164992	−	0.0285774i
$848$	2.18603	−	3.78632i	0.0750686	−	0.130023i
$849$	−0.443987	+	2.51798i	−0.0152376	+	0.0864168i
$850$	9.79446	−	8.21852i	0.335947	−	0.281893i
$851$	−4.87198	−	4.08808i	−0.167009	−	0.140137i
$852$	−2.62594	−	14.8924i	−0.0899631	−	0.510206i
$853$	23.4614	+	8.53927i	0.803304	+	0.292379i	0.710855	−	0.703338i	$-0.248308\pi$
$853$	23.4614	+	8.53927i	0.803304	+	0.292379i	0.0924494	+	0.995717i	$0.470530\pi$
$854$	4.45327			0.152388
$855$	0.558184	+	24.9151i	0.0190895	+	0.852078i
$856$	2.76704			0.0945756
$857$	−6.55053	−	2.38420i	−0.223762	−	0.0814427i	0.227706	−	0.973730i	$-0.426877\pi$
$857$	−6.55053	−	2.38420i	−0.223762	−	0.0814427i	−0.451468	+	0.892287i	$0.649100\pi$
$858$	−1.24385	−	7.05422i	−0.0424643	−	0.240827i
$859$	−9.14344	−	7.67226i	−0.311970	−	0.261774i	0.473336	−	0.880882i	$-0.343050\pi$
$859$	−9.14344	−	7.67226i	−0.311970	−	0.261774i	−0.785306	+	0.619108i	$0.787494\pi$
$860$	17.8538	−	14.9811i	0.608810	−	0.510852i
$861$	2.06228	−	11.6958i	0.0702824	−	0.398591i
$862$	3.87906	−	6.71872i	0.132121	−	0.228841i
$863$	9.44274	+	16.3553i	0.321434	+	0.556741i	0.980784	−	0.195095i	$-0.0625017\pi$
$863$	9.44274	+	16.3553i	0.321434	+	0.556741i	−0.659350	+	0.751836i	$0.729168\pi$
$864$	5.02787	−	1.83000i	0.171052	−	0.0622577i
$865$	−41.3003	+	15.0321i	−1.40425	+	0.511106i
$866$	−6.95175	−	12.0408i	−0.236230	−	0.409162i
$867$	7.23665	−	12.5343i	0.245770	−	0.425685i
$868$	−1.00608	+	5.70574i	−0.0341484	+	0.193665i
$869$	4.89488	−	4.10729i	0.166047	−	0.139330i
$870$	−5.23522	−	4.39287i	−0.177491	−	0.148932i
$871$	14.3622	+	81.4521i	0.486644	+	2.75990i
$872$	17.2640	+	6.28357i	0.584632	+	0.212788i
$873$	20.4470			0.692027
$874$	15.2523	+	8.35611i	0.515915	+	0.282650i
$875$	3.83319			0.129585
$876$	6.07048	+	2.20947i	0.205102	+	0.0746512i
$877$	9.59596	+	54.4214i	0.324032	+	1.83768i	0.516389	+	0.856354i	$0.327276\pi$
$877$	9.59596	+	54.4214i	0.324032	+	1.83768i	−0.192357	+	0.981325i	$0.561613\pi$
$878$	−13.1098	−	11.0004i	−0.442433	−	0.371245i
$879$	−26.9610	+	22.6229i	−0.909370	+	0.763052i
$880$	−0.580957	+	3.29477i	−0.0195841	+	0.111067i
$881$	−13.7715	+	23.8530i	−0.463975	+	0.803628i	−0.999155	−	0.0411102i	$-0.986911\pi$
$881$	−13.7715	+	23.8530i	−0.463975	+	0.803628i	0.535180	+	0.844738i	$0.320244\pi$
$882$	−5.19314	−	8.99479i	−0.174862	−	0.302870i
$883$	−32.1974	+	11.7189i	−1.08353	+	0.394372i	−0.821220	−	0.570612i	$-0.806706\pi$
$883$	−32.1974	+	11.7189i	−1.08353	+	0.394372i	−0.262308	+	0.964984i	$0.584484\pi$
$884$	−12.2301	+	4.45138i	−0.411342	+	0.149716i
$885$	−10.4970	−	18.1813i	−0.352852	−	0.611157i
$886$	−12.1152	+	20.9842i	−0.407019	+	0.704978i
$887$	−0.107386	+	0.609017i	−0.00360567	+	0.0204488i	−0.986558	−	0.163414i	$-0.947749\pi$
$887$	−0.107386	+	0.609017i	−0.00360567	+	0.0204488i	0.982952	+	0.183863i	$0.0588603\pi$
$888$	−1.38749	+	1.16424i	−0.0465610	+	0.0390693i
$889$	3.69191	+	3.09788i	0.123823	+	0.103900i
$890$	−1.98963	−	11.2837i	−0.0666925	−	0.378232i
$891$	−0.895398	−	0.325898i	−0.0299970	−	0.0109180i
$892$	−14.5445			−0.486986
$893$	−15.9945	+	19.9526i	−0.535236	+	0.667687i
$894$	−11.0214			−0.368611
$895$	−17.6182	−	6.41251i	−0.588913	−	0.214347i
$896$	0.166765	+	0.945770i	0.00557122	+	0.0315960i
$897$	21.8930	+	18.3704i	0.730987	+	0.613371i
$898$	1.24060	−	1.04099i	0.0413994	−	0.0347382i
$899$	1.88333	−	10.6809i	0.0628125	−	0.356228i
$900$	5.29168	−	9.16547i	0.176389	−	0.305516i
$901$	4.51314	+	7.81700i	0.150355	+	0.260422i
$902$	10.2271	−	3.72236i	0.340525	−	0.123941i
$903$	−7.14332	+	2.59996i	−0.237715	+	0.0865211i
$904$	7.77241	+	13.4622i	0.258507	+	0.447747i
$905$	20.0803	−	34.7801i	0.667492	−	1.15613i
$906$	1.70863	−	9.69012i	0.0567654	−	0.321933i
$907$	23.1179	−	19.3982i	0.767618	−	0.644108i	−0.172480	−	0.985013i	$-0.555178\pi$
$907$	23.1179	−	19.3982i	0.767618	−	0.644108i	0.940098	+	0.340905i	$0.110733\pi$
$908$	14.9812	+	12.5708i	0.497170	+	0.417175i
$909$	4.05755	+	23.0115i	0.134580	+	0.763243i
$910$	−19.0333	−	6.92755i	−0.630948	−	0.229646i
$911$	−7.39113			−0.244879			−0.122439	−	0.992476i	$-0.539072\pi$
$911$	−7.39113			−0.244879			−0.122439	+	0.992476i	$0.539072\pi$
$912$	3.09785	−	3.86445i	0.102580	−	0.127965i
$913$	−6.99693			−0.231565
$914$	18.0790	+	6.58022i	0.598000	+	0.217654i
$915$	3.06102	+	17.3599i	0.101194	+	0.573901i
$916$	5.70528	+	4.78730i	0.188508	+	0.158177i
$917$	15.0543	−	12.6321i	0.497137	−	0.417148i
$918$	−1.91819	+	10.8786i	−0.0633097	+	0.359047i
$919$	4.05101	−	7.01656i	0.133631	−	0.231455i	−0.791443	−	0.611243i	$-0.790670\pi$
$919$	4.05101	−	7.01656i	0.133631	−	0.231455i	0.925074	+	0.379788i	$0.124003\pi$
$920$	−6.67419	−	11.5600i	−0.220041	−	0.381123i
$921$	9.37154	−	3.41096i	0.308803	−	0.112395i
$922$	8.91702	−	3.24553i	0.293666	−	0.106886i
$923$	41.9495	+	72.6587i	1.38078	+	2.39159i
$924$	0.545609	−	0.945022i	0.0179492	−	0.0310890i
$925$	−1.71424	+	9.72192i	−0.0563638	+	0.319655i
$926$	−2.61259	+	2.19222i	−0.0858549	+	0.0720408i
$927$	−18.4845	−	15.5103i	−0.607110	−	0.509426i
$928$	−0.312176	−	1.77044i	−0.0102477	−	0.0581175i
$929$	−8.29025	−	3.01741i	−0.271994	−	0.0989979i	0.202422	−	0.979298i	$-0.435119\pi$
$929$	−8.29025	−	3.01741i	−0.271994	−	0.0989979i	−0.474417	+	0.880300i	$0.657341\pi$
$930$	−22.9339			−0.752031
$931$	−23.2338	−	12.7289i	−0.761456	−	0.417172i
$932$	−8.10819			−0.265592
$933$	−32.3154	−	11.7619i	−1.05796	−	0.385066i
$934$	6.64266	+	37.6724i	0.217354	+	1.23268i
$935$	−5.29116	−	4.43981i	−0.173039	−	0.145197i
$936$	−8.25267	+	6.92482i	−0.269747	+	0.226345i
$937$	6.12221	−	34.7208i	0.200004	−	1.13428i	−0.705106	−	0.709102i	$-0.749101\pi$
$937$	6.12221	−	34.7208i	0.200004	−	1.13428i	0.905110	−	0.425177i	$-0.139788\pi$
$938$	−6.29991	+	10.9118i	−0.205699	+	0.356282i
$939$	−13.0031	−	22.5221i	−0.424341	−	0.734980i
$940$	18.4437	−	6.71296i	0.601567	−	0.218953i
$941$	−27.8108	+	10.1223i	−0.906606	+	0.329977i	−0.752897	−	0.658139i	$-0.771344\pi$
$941$	−27.8108	+	10.1223i	−0.906606	+	0.329977i	−0.153709	+	0.988116i	$0.549122\pi$
$942$	−6.89172	−	11.9368i	−0.224545	−	0.388923i
$943$	−21.7116	+	37.6055i	−0.707026	+	1.22460i
$944$	0.958987	−	5.43869i	0.0312124	−	0.177014i
$945$	−13.1692	+	11.0503i	−0.428395	+	0.359466i
$946$	−5.33651	−	4.47786i	−0.173505	−	0.145588i
$947$	−2.93466	−	16.6433i	−0.0953637	−	0.540834i	−0.994635	−	0.103444i	$-0.967014\pi$
$947$	−2.93466	−	16.6433i	−0.0953637	−	0.540834i	0.899272	−	0.437391i	$-0.144097\pi$
$948$	6.82262	+	2.48323i	0.221588	+	0.0806516i
$949$	−35.8410			−1.16345
$950$	−0.604625	−	26.9880i	−0.0196166	−	0.875607i
$951$	−18.8217			−0.610336
$952$	−1.86313	−	0.678123i	−0.0603843	−	0.0219781i
$953$	−4.66493	−	26.4561i	−0.151112	−	0.856998i	−0.962255	−	0.272150i	$-0.912265\pi$
$953$	−4.66493	−	26.4561i	−0.151112	−	0.856998i	0.811143	−	0.584848i	$-0.198846\pi$
$954$	5.72349	+	4.80258i	0.185305	+	0.155489i
$955$	9.36144	−	7.85518i	0.302929	−	0.254188i
$956$	−5.16259	+	29.2785i	−0.166970	+	0.946935i
$957$	−1.02136	+	1.76904i	−0.0330157	+	0.0571849i
$958$	−16.8233	−	29.1388i	−0.543536	−	0.941432i
$959$	−7.70821	+	2.80556i	−0.248911	+	0.0905963i
$960$	−3.57221	+	1.30018i	−0.115293	+	0.0419631i
$961$	−2.69795	−	4.67299i	−0.0870306	−	0.150741i
$962$	5.02444	−	8.70258i	0.161994	−	0.280582i
$963$	−0.821120	+	4.65680i	−0.0264602	+	0.150063i
$964$	−18.5841	+	15.5939i	−0.598553	+	0.502246i
$965$	−45.6976	−	38.3448i	−1.47106	−	1.23436i
$966$	0.756025	+	4.28763i	0.0243247	+	0.137952i
$967$	−33.3392	−	12.1345i	−1.07212	−	0.390218i	−0.255148	−	0.966902i	$-0.582124\pi$
$967$	−33.3392	−	12.1345i	−1.07212	−	0.390218i	−0.816967	+	0.576684i	$0.804346\pi$
$968$	1.00000			0.0321412
$969$	3.71160	+	9.52792i	0.119234	+	0.306081i
$970$	−40.0298			−1.28528
$971$	15.9888	+	5.81945i	0.513105	+	0.186755i	0.585579	−	0.810615i	$-0.300867\pi$
$971$	15.9888	+	5.81945i	0.513105	+	0.186755i	−0.0724738	+	0.997370i	$0.523089\pi$
$972$	2.59933	+	14.7415i	0.0833735	+	0.472835i
$973$	−1.58443	−	1.32949i	−0.0507945	−	0.0426216i
$974$	22.2020	−	18.6297i	0.711399	−	0.596934i
$975$	7.70320	−	43.6870i	0.246700	−	1.39910i
$976$	−2.31854	+	4.01583i	−0.0742147	+	0.128544i
$977$	7.12647	+	12.3434i	0.227996	+	0.394901i	0.957214	−	0.289381i	$-0.0934494\pi$
$977$	7.12647	+	12.3434i	0.227996	+	0.394901i	−0.729218	+	0.684281i	$0.760116\pi$
$978$	2.48386	−	0.904051i	0.0794251	−	0.0289084i
$979$	−3.21820	+	1.17133i	−0.102854	+	0.0374359i
$980$	10.1668	+	17.6094i	0.324766	+	0.562511i
$981$	−15.6980	+	27.1898i	−0.501200	+	0.868103i
$982$	1.77005	−	10.0385i	0.0564846	−	0.320340i
$983$	−42.3515	+	35.5372i	−1.35080	+	1.13346i	−0.372098	+	0.928194i	$0.621361\pi$
$983$	−42.3515	+	35.5372i	−1.35080	+	1.13346i	−0.978706	+	0.205266i	$0.934194\pi$
$984$	9.47323	+	7.94898i	0.301995	+	0.253404i
$985$	1.49186	+	8.46073i	0.0475345	+	0.269581i
$986$	3.48769	+	1.26942i	0.111071	+	0.0404265i
$987$	−6.40177			−0.203771
$988$	−8.81758	+	26.0256i	−0.280525	+	0.827985i
$989$	27.7944			0.883811
$990$	−5.37255	−	1.95545i	−0.170751	−	0.0621482i
$991$	−2.20201	−	12.4882i	−0.0699492	−	0.396702i	−0.999601	−	0.0282613i	$-0.991003\pi$
$991$	−2.20201	−	12.4882i	−0.0699492	−	0.396702i	0.929651	−	0.368440i	$-0.120108\pi$
$992$	−4.62147	−	3.87787i	−0.146732	−	0.123123i
$993$	9.88358	−	8.29331i	0.313646	−	0.263180i
$994$	−2.21943	+	12.5870i	−0.0703959	+	0.399235i
$995$	−10.7131	+	18.5557i	−0.339629	+	0.588255i
$996$	−3.97516	−	6.88519i	−0.125958	−	0.218165i
$997$	−4.91090	+	1.78742i	−0.155530	+	0.0566082i	−0.418612	−	0.908165i	$-0.637483\pi$
$997$	−4.91090	+	1.78742i	−0.155530	+	0.0566082i	0.263082	+	0.964773i	$0.415261\pi$
$998$	−4.08164	+	1.48560i	−0.129202	+	0.0470257i
$999$	−4.26447	−	7.38629i	−0.134922	−	0.233692i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.d.23.4	✓	30
19.5	even	9	inner	418.2.j.d.309.4	yes	30
19.9	even	9		7942.2.a.ca.1.10		15
19.10	odd	18		7942.2.a.by.1.6		15

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.d.23.4	✓	30	1.1	even	1	trivial
418.2.j.d.309.4	yes	30	19.5	even	9	inner
7942.2.a.by.1.6		15	19.10	odd	18
7942.2.a.ca.1.10		15	19.9	even	9

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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 - 0.342020i) q^{2} +(0.197309 + 1.11900i) q^{3} +(0.766044 + 0.642788i) q^{4} +(2.56288 - 2.15051i) q^{5} +(0.197309 - 1.11900i) q^{6} +(-0.480180 + 0.831696i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.60586 - 0.584483i) q^{9} +O(q^{10})\)	\(q+(-0.939693 - 0.342020i) q^{2} +(0.197309 + 1.11900i) q^{3} +(0.766044 + 0.642788i) q^{4} +(2.56288 - 2.15051i) q^{5} +(0.197309 - 1.11900i) q^{6} +(-0.480180 + 0.831696i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(1.60586 - 0.584483i) q^{9} +(-3.14383 + 1.14426i) q^{10} +(0.500000 + 0.866025i) q^{11} +(-0.568130 + 0.984029i) q^{12} +(1.09469 - 6.20829i) q^{13} +(0.735678 - 0.617307i) q^{14} +(2.91209 + 2.44354i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-1.94003 - 0.706114i) q^{17} -1.70892 q^{18} +(-3.72516 + 2.26345i) q^{19} +3.34560 q^{20} +(-1.02541 - 0.373218i) q^{21} +(-0.173648 - 0.984808i) q^{22} +(3.05639 + 2.56461i) q^{23} +(0.870425 - 0.730373i) q^{24} +(1.07541 - 6.09895i) q^{25} +(-3.15203 + 5.45947i) q^{26} +(2.67527 + 4.63371i) q^{27} +(-0.902443 + 0.328462i) q^{28} +(1.68933 - 0.614867i) q^{29} +(-1.90073 - 3.29217i) q^{30} +(3.01645 - 5.22465i) q^{31} +(0.173648 - 0.984808i) q^{32} +(-0.870425 + 0.730373i) q^{33} +(1.58153 + 1.32706i) q^{34} +(0.557928 + 3.16417i) q^{35} +(1.60586 + 0.584483i) q^{36} -1.59403 q^{37} +(4.27465 - 0.852872i) q^{38} +7.16304 q^{39} +(-3.14383 - 1.14426i) q^{40} +(1.88989 + 10.7181i) q^{41} +(0.835921 + 0.701421i) q^{42} +(5.33651 - 4.47786i) q^{43} +(-0.173648 + 0.984808i) q^{44} +(2.85867 - 4.95137i) q^{45} +(-1.99491 - 3.45529i) q^{46} +(5.51283 - 2.00650i) q^{47} +(-1.06773 + 0.388624i) q^{48} +(3.03885 + 5.26345i) q^{49} +(-3.09652 + 5.36332i) q^{50} +(0.407353 - 2.31021i) q^{51} +(4.82919 - 4.05217i) q^{52} +(-3.34919 - 2.81031i) q^{53} +(-0.929113 - 5.26926i) q^{54} +(3.14383 + 1.14426i) q^{55} +0.960360 q^{56} +(-3.26780 - 3.72184i) q^{57} -1.79775 q^{58} +(-5.18953 - 1.88884i) q^{59} +(0.660118 + 3.74371i) q^{60} +(3.55221 + 2.98066i) q^{61} +(-4.62147 + 3.87787i) q^{62} +(-0.284987 + 1.61624i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-10.5454 - 18.2652i) q^{65} +(1.06773 - 0.388624i) q^{66} +(-12.3287 + 4.48727i) q^{67} +(-1.03227 - 1.78794i) q^{68} +(-2.26674 + 3.92611i) q^{69} +(0.557928 - 3.16417i) q^{70} +(-10.1951 + 8.55469i) q^{71} +(-1.30911 - 1.09847i) q^{72} +(-0.987256 - 5.59901i) q^{73} +(1.49790 + 0.545191i) q^{74} +7.03689 q^{75} +(-4.30855 - 0.660578i) q^{76} -0.960360 q^{77} +(-6.73106 - 2.44991i) q^{78} +(-1.10958 - 6.29273i) q^{79} +(2.56288 + 2.15051i) q^{80} +(-0.729935 + 0.612489i) q^{81} +(1.88989 - 10.7181i) q^{82} +(-3.49847 + 6.05952i) q^{83} +(-0.545609 - 0.945022i) q^{84} +(-6.49057 + 2.36237i) q^{85} +(-6.54619 + 2.38262i) q^{86} +(1.02136 + 1.76904i) q^{87} +(0.500000 - 0.866025i) q^{88} +(-0.594700 + 3.37271i) q^{89} +(-4.37974 + 3.67504i) q^{90} +(4.63776 + 3.89154i) q^{91} +(0.692827 + 3.92922i) q^{92} +(6.44154 + 2.34453i) q^{93} -5.86663 q^{94} +(-4.67954 + 13.8119i) q^{95} +1.13626 q^{96} +(11.2433 + 4.09224i) q^{97} +(-1.05538 - 5.98537i) q^{98} +(1.30911 + 1.09847i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 15 q^{8}+O(q^{10}) \) 30 * q - 15 * q^8	\( 30 q - 15 q^{8} + 15 q^{11} - 3 q^{12} - 21 q^{13} - 9 q^{14} + 3 q^{15} + 6 q^{17} + 60 q^{18} - 9 q^{19} + 18 q^{20} - 39 q^{21} + 15 q^{23} + 24 q^{25} - 3 q^{27} + 9 q^{28} - 3 q^{29} - 21 q^{30} - 18 q^{31} + 15 q^{34} + 51 q^{35} - 18 q^{37} - 6 q^{38} - 6 q^{41} + 51 q^{42} + 39 q^{43} - 54 q^{45} - 21 q^{46} - 3 q^{47} - 33 q^{49} - 24 q^{50} - 48 q^{51} - 12 q^{52} - 24 q^{53} - 9 q^{54} - 6 q^{57} - 18 q^{58} + 21 q^{59} + 3 q^{60} + 63 q^{61} - 27 q^{62} + 57 q^{63} - 15 q^{64} - 6 q^{65} - 45 q^{67} - 21 q^{68} + 42 q^{69} + 51 q^{70} - 48 q^{71} + 87 q^{73} + 9 q^{74} + 42 q^{75} - 9 q^{76} - 36 q^{78} - 57 q^{79} + 36 q^{81} - 6 q^{82} - 30 q^{83} + 9 q^{84} + 81 q^{85} - 24 q^{86} - 9 q^{87} + 15 q^{88} - 6 q^{89} - 114 q^{90} - 51 q^{91} - 3 q^{92} + 33 q^{93} + 78 q^{94} - 132 q^{95} + 6 q^{96} - 66 q^{97} + 9 q^{98}+O(q^{100}) \) 30 * q - 15 * q^8 + 15 * q^11 - 3 * q^12 - 21 * q^13 - 9 * q^14 + 3 * q^15 + 6 * q^17 + 60 * q^18 - 9 * q^19 + 18 * q^20 - 39 * q^21 + 15 * q^23 + 24 * q^25 - 3 * q^27 + 9 * q^28 - 3 * q^29 - 21 * q^30 - 18 * q^31 + 15 * q^34 + 51 * q^35 - 18 * q^37 - 6 * q^38 - 6 * q^41 + 51 * q^42 + 39 * q^43 - 54 * q^45 - 21 * q^46 - 3 * q^47 - 33 * q^49 - 24 * q^50 - 48 * q^51 - 12 * q^52 - 24 * q^53 - 9 * q^54 - 6 * q^57 - 18 * q^58 + 21 * q^59 + 3 * q^60 + 63 * q^61 - 27 * q^62 + 57 * q^63 - 15 * q^64 - 6 * q^65 - 45 * q^67 - 21 * q^68 + 42 * q^69 + 51 * q^70 - 48 * q^71 + 87 * q^73 + 9 * q^74 + 42 * q^75 - 9 * q^76 - 36 * q^78 - 57 * q^79 + 36 * q^81 - 6 * q^82 - 30 * q^83 + 9 * q^84 + 81 * q^85 - 24 * q^86 - 9 * q^87 + 15 * q^88 - 6 * q^89 - 114 * q^90 - 51 * q^91 - 3 * q^92 + 33 * q^93 + 78 * q^94 - 132 * q^95 + 6 * q^96 - 66 * q^97 + 9 * q^98

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