LMFDB - Embedded newform 287.2.n.a.64.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(64,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 9]))

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

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

chi := DirichletCharacter("287.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			64.3
Character	$\chi$	$=$	287.64
Dual form			287.2.n.a.148.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.723131 - 2.22557i) q^{2} +3.25739i q^{3} +(-2.81220 + 2.04318i) q^{4} +(0.0446777 - 0.0324603i) q^{5} +(7.24954 - 2.35552i) q^{6} +(0.951057 + 0.309017i) q^{7} +(2.79446 + 2.03029i) q^{8} -7.61060 q^{9} +O(q^{10})$	\(q+(-0.723131 - 2.22557i) q^{2} +3.25739i q^{3} +(-2.81220 + 2.04318i) q^{4} +(0.0446777 - 0.0324603i) q^{5} +(7.24954 - 2.35552i) q^{6} +(0.951057 + 0.309017i) q^{7} +(2.79446 + 2.03029i) q^{8} -7.61060 q^{9} +(-0.104550 - 0.0759602i) q^{10} +(-1.28327 + 1.76627i) q^{11} +(-6.65544 - 9.16042i) q^{12} +(-5.23527 + 1.70104i) q^{13} -2.34010i q^{14} +(0.105736 + 0.145533i) q^{15} +(0.349468 - 1.07555i) q^{16} +(0.488729 - 0.672678i) q^{17} +(5.50346 + 16.9379i) q^{18} +(1.30293 + 0.423347i) q^{19} +(-0.0593204 + 0.182569i) q^{20} +(-1.00659 + 3.09796i) q^{21} +(4.85893 + 1.57876i) q^{22} +(0.809176 + 2.49039i) q^{23} +(-6.61346 + 9.10265i) q^{24} +(-1.54414 + 4.75238i) q^{25} +(7.57157 + 10.4214i) q^{26} -15.0185i q^{27} +(-3.30594 + 1.07416i) q^{28} +(3.03748 + 4.18074i) q^{29} +(0.247432 - 0.340561i) q^{30} +(-6.12264 - 4.44836i) q^{31} +4.26186 q^{32} +(-5.75344 - 4.18012i) q^{33} +(-1.85050 - 0.601265i) q^{34} +(0.0525218 - 0.0170654i) q^{35} +(21.4025 - 15.5498i) q^{36} +(-3.43305 + 2.49425i) q^{37} -3.20589i q^{38} +(-5.54096 - 17.0533i) q^{39} +0.190754 q^{40} +(1.65225 - 6.18628i) q^{41} +7.62262 q^{42} +(3.32195 + 10.2239i) q^{43} -7.58906i q^{44} +(-0.340024 + 0.247042i) q^{45} +(4.95738 - 3.60175i) q^{46} +(10.8949 - 3.53996i) q^{47} +(3.50350 + 1.13836i) q^{48} +(0.809017 + 0.587785i) q^{49} +11.6934 q^{50} +(2.19118 + 1.59198i) q^{51} +(11.2471 - 15.4803i) q^{52} +(-0.321165 - 0.442046i) q^{53} +(-33.4247 + 10.8604i) q^{54} +0.120568i q^{55} +(2.03029 + 2.79446i) q^{56} +(-1.37901 + 4.24415i) q^{57} +(7.10802 - 9.78335i) q^{58} +(0.383395 + 1.17997i) q^{59} +(-0.594700 - 0.193230i) q^{60} +(-2.78960 + 8.58551i) q^{61} +(-5.47265 + 16.8431i) q^{62} +(-7.23811 - 2.35180i) q^{63} +(-3.78082 - 11.6362i) q^{64} +(-0.178684 + 0.245937i) q^{65} +(-5.14264 + 15.8274i) q^{66} +(-8.23963 - 11.3409i) q^{67} +2.89026i q^{68} +(-8.11217 + 2.63580i) q^{69} +(-0.0759602 - 0.104550i) q^{70} +(-2.11211 + 2.90707i) q^{71} +(-21.2675 - 15.4517i) q^{72} +16.5951 q^{73} +(8.03367 + 5.83680i) q^{74} +(-15.4804 - 5.02988i) q^{75} +(-4.52907 + 1.47158i) q^{76} +(-1.76627 + 1.28327i) q^{77} +(-33.9465 + 24.6636i) q^{78} +0.0170033i q^{79} +(-0.0192993 - 0.0593971i) q^{80} +26.0894 q^{81} +(-14.9628 + 0.796295i) q^{82} +10.6978 q^{83} +(-3.49897 - 10.7687i) q^{84} -0.0459180i q^{85} +(20.3518 - 14.7864i) q^{86} +(-13.6183 + 9.89428i) q^{87} +(-7.17210 + 2.33036i) q^{88} +(10.7495 + 3.49272i) q^{89} +(0.795690 + 0.578103i) q^{90} -5.50469 q^{91} +(-7.36387 - 5.35017i) q^{92} +(14.4900 - 19.9438i) q^{93} +(-15.7568 - 21.6874i) q^{94} +(0.0719538 - 0.0233792i) q^{95} +13.8825i q^{96} +(-1.08317 - 1.49085i) q^{97} +(0.723131 - 2.22557i) q^{98} +(9.76646 - 13.4424i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9}+O(q^{10}) $ 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9	$ 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9} + 36 q^{10} - 10 q^{11} + 20 q^{15} - 12 q^{16} - 10 q^{17} + 20 q^{18} + 30 q^{19} - 30 q^{20} + 4 q^{21} - 20 q^{22} - 12 q^{23} + 60 q^{24} - 50 q^{25} - 30 q^{26} + 2 q^{31} + 24 q^{32} - 46 q^{33} + 50 q^{34} + 86 q^{36} - 48 q^{37} + 16 q^{39} - 60 q^{40} - 24 q^{41} - 4 q^{42} + 22 q^{43} - 16 q^{45} + 20 q^{46} + 20 q^{48} + 22 q^{49} - 16 q^{50} + 8 q^{51} + 70 q^{52} - 30 q^{54} + 8 q^{57} - 90 q^{58} - 4 q^{59} - 50 q^{60} - 64 q^{61} - 44 q^{62} + 14 q^{64} + 80 q^{65} - 26 q^{66} + 10 q^{67} + 40 q^{71} + 18 q^{72} + 124 q^{73} + 80 q^{74} + 70 q^{75} - 190 q^{76} + 8 q^{77} + 74 q^{78} + 26 q^{80} + 144 q^{81} - 58 q^{82} - 60 q^{83} + 26 q^{84} + 10 q^{86} + 8 q^{87} + 160 q^{88} - 164 q^{90} - 40 q^{91} - 156 q^{92} - 20 q^{93} + 10 q^{94} + 80 q^{95} - 90 q^{97} - 40 q^{99}+O(q^{100}) $ 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9 + 36 * q^10 - 10 * q^11 + 20 * q^15 - 12 * q^16 - 10 * q^17 + 20 * q^18 + 30 * q^19 - 30 * q^20 + 4 * q^21 - 20 * q^22 - 12 * q^23 + 60 * q^24 - 50 * q^25 - 30 * q^26 + 2 * q^31 + 24 * q^32 - 46 * q^33 + 50 * q^34 + 86 * q^36 - 48 * q^37 + 16 * q^39 - 60 * q^40 - 24 * q^41 - 4 * q^42 + 22 * q^43 - 16 * q^45 + 20 * q^46 + 20 * q^48 + 22 * q^49 - 16 * q^50 + 8 * q^51 + 70 * q^52 - 30 * q^54 + 8 * q^57 - 90 * q^58 - 4 * q^59 - 50 * q^60 - 64 * q^61 - 44 * q^62 + 14 * q^64 + 80 * q^65 - 26 * q^66 + 10 * q^67 + 40 * q^71 + 18 * q^72 + 124 * q^73 + 80 * q^74 + 70 * q^75 - 190 * q^76 + 8 * q^77 + 74 * q^78 + 26 * q^80 + 144 * q^81 - 58 * q^82 - 60 * q^83 + 26 * q^84 + 10 * q^86 + 8 * q^87 + 160 * q^88 - 164 * q^90 - 40 * q^91 - 156 * q^92 - 20 * q^93 + 10 * q^94 + 80 * q^95 - 90 * q^97 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{9}{10}\right)$

Coefficient data

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

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

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

$2$	−0.723131	−	2.22557i	−0.511331	−	1.57371i	−0.789861	−	0.613286i	$-0.789847\pi$
$2$	−0.723131	−	2.22557i	−0.511331	−	1.57371i	0.278530	−	0.960427i	$-0.410153\pi$
$3$			3.25739i			1.88066i	0.340270	+	0.940328i	$0.389482\pi$
$3$			3.25739i			1.88066i	−0.340270	+	0.940328i	$0.610518\pi$
$4$	−2.81220	+	2.04318i	−1.40610	+	1.02159i
$5$	0.0446777	−	0.0324603i	0.0199805	−	0.0145167i	−0.577750	−	0.816214i	$-0.696069\pi$
$5$	0.0446777	−	0.0324603i	0.0199805	−	0.0145167i	0.597731	+	0.801697i	$0.296069\pi$
$6$	7.24954	−	2.35552i	2.95961	−	0.961637i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$7$	0.951057	+	0.309017i	0.359466	+	0.116797i
$8$	2.79446	+	2.03029i	0.987991	+	0.717817i
$9$	−7.61060			−2.53687
$10$	−0.104550	−	0.0759602i	−0.0330617	−	0.0240207i
$11$	−1.28327	+	1.76627i	−0.386921	+	0.532551i	−0.957401	−	0.288760i	$-0.906757\pi$
$11$	−1.28327	+	1.76627i	−0.386921	+	0.532551i	0.570481	+	0.821311i	$0.306757\pi$
$12$	−6.65544	−	9.16042i	−1.92126	−	2.64439i
$13$	−5.23527	+	1.70104i	−1.45200	+	0.471784i	−0.925617	−	0.378462i	$-0.876453\pi$
$13$	−5.23527	+	1.70104i	−1.45200	+	0.471784i	−0.526386	+	0.850246i	$0.676453\pi$
$14$		−	2.34010i		−	0.625418i
$15$	0.105736	+	0.145533i	0.0273009	+	0.0375764i
$16$	0.349468	−	1.07555i	0.0873671	−	0.268888i
$17$	0.488729	−	0.672678i	0.118534	−	0.163148i	−0.745627	−	0.666364i	$-0.767850\pi$
$17$	0.488729	−	0.672678i	0.118534	−	0.163148i	0.864161	+	0.503215i	$0.167850\pi$
$18$	5.50346	+	16.9379i	1.29718	+	3.99230i
$19$	1.30293	+	0.423347i	0.298912	+	0.0971225i	0.454634	−	0.890679i	$-0.349770\pi$
$19$	1.30293	+	0.423347i	0.298912	+	0.0971225i	−0.155721	+	0.987801i	$0.549770\pi$
$20$	−0.0593204	+	0.182569i	−0.0132644	+	0.0408237i
$21$	−1.00659	+	3.09796i	−0.219656	+	0.676031i
$22$	4.85893	+	1.57876i	1.03593	+	0.336593i
$23$	0.809176	+	2.49039i	0.168725	+	0.519282i	0.999291	−	0.0376376i	$-0.0119833\pi$
$23$	0.809176	+	2.49039i	0.168725	+	0.519282i	−0.830567	+	0.556919i	$0.811983\pi$
$24$	−6.61346	+	9.10265i	−1.34997	+	1.85807i
$25$	−1.54414	+	4.75238i	−0.308829	+	0.950476i
$26$	7.57157	+	10.4214i	1.48491	+	2.04380i
$27$		−	15.0185i		−	2.89032i
$28$	−3.30594	+	1.07416i	−0.624763	+	0.202998i
$29$	3.03748	+	4.18074i	0.564047	+	0.776344i	0.991834	−	0.127536i	$-0.0407067\pi$
$29$	3.03748	+	4.18074i	0.564047	+	0.776344i	−0.427787	+	0.903879i	$0.640707\pi$
$30$	0.247432	−	0.340561i	0.0451747	−	0.0621777i
$31$	−6.12264	−	4.44836i	−1.09966	−	0.798948i	−0.118654	−	0.992936i	$-0.537858\pi$
$31$	−6.12264	−	4.44836i	−1.09966	−	0.798948i	−0.981004	+	0.193987i	$0.937858\pi$
$32$	4.26186			0.753397
$33$	−5.75344	−	4.18012i	−1.00154	−	0.727665i
$34$	−1.85050	−	0.601265i	−0.317359	−	0.103116i
$35$	0.0525218	−	0.0170654i	0.00887781	−	0.00288457i
$36$	21.4025	−	15.5498i	3.56708	−	2.59164i
$37$	−3.43305	+	2.49425i	−0.564389	+	0.410053i	−0.833063	−	0.553178i	$-0.813415\pi$
$37$	−3.43305	+	2.49425i	−0.564389	+	0.410053i	0.268673	+	0.963231i	$0.413415\pi$
$38$		−	3.20589i		−	0.520064i
$39$	−5.54096	−	17.0533i	−0.887264	−	2.73072i
$40$	0.190754			0.0301608
$41$	1.65225	−	6.18628i	0.258038	−	0.966135i
$41$	1.65225	−	6.18628i	0.258038	−	0.966135i
$42$	7.62262			1.17620
$43$	3.32195	+	10.2239i	0.506593	+	1.55913i	0.798076	+	0.602556i	$0.205851\pi$
$43$	3.32195	+	10.2239i	0.506593	+	1.55913i	−0.291484	+	0.956576i	$0.594149\pi$
$44$		−	7.58906i		−	1.14409i
$45$	−0.340024	+	0.247042i	−0.0506878	+	0.0368268i
$46$	4.95738	−	3.60175i	0.730926	−	0.531049i
$47$	10.8949	−	3.53996i	1.58918	−	0.516356i	0.624780	−	0.780801i	$-0.285189\pi$
$47$	10.8949	−	3.53996i	1.58918	−	0.516356i	0.964401	+	0.264445i	$0.0851887\pi$
$48$	3.50350	+	1.13836i	0.505686	+	0.164307i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	11.6934			1.65369
$51$	2.19118	+	1.59198i	0.306826	+	0.222922i
$52$	11.2471	−	15.4803i	1.55969	−	2.14673i
$53$	−0.321165	−	0.442046i	−0.0441154	−	0.0607197i	0.786389	−	0.617731i	$-0.211948\pi$
$53$	−0.321165	−	0.442046i	−0.0441154	−	0.0607197i	−0.830505	+	0.557011i	$0.811948\pi$
$54$	−33.4247	+	10.8604i	−4.54853	+	1.47791i
$55$			0.120568i			0.0162574i
$56$	2.03029	+	2.79446i	0.271309	+	0.373425i
$57$	−1.37901	+	4.24415i	−0.182654	+	0.562151i
$58$	7.10802	−	9.78335i	0.933328	−	1.28462i
$59$	0.383395	+	1.17997i	0.0499138	+	0.153619i	0.972907	−	0.231198i	$-0.0742646\pi$
$59$	0.383395	+	1.17997i	0.0499138	+	0.153619i	−0.922993	+	0.384817i	$0.874265\pi$
$60$	−0.594700	−	0.193230i	−0.0767754	−	0.0249458i
$61$	−2.78960	+	8.58551i	−0.357172	+	1.09926i	0.597568	+	0.801818i	$0.296134\pi$
$61$	−2.78960	+	8.58551i	−0.357172	+	1.09926i	−0.954739	+	0.297443i	$0.903866\pi$
$62$	−5.47265	+	16.8431i	−0.695027	+	2.13907i
$63$	−7.23811	−	2.35180i	−0.911916	−	0.296299i
$64$	−3.78082	−	11.6362i	−0.472602	−	1.45452i
$65$	−0.178684	+	0.245937i	−0.0221630	+	0.0305047i
$66$	−5.14264	+	15.8274i	−0.633016	+	1.94822i
$67$	−8.23963	−	11.3409i	−1.00663	−	1.38551i	−0.921167	−	0.389168i	$-0.872763\pi$
$67$	−8.23963	−	11.3409i	−1.00663	−	1.38551i	−0.0854646	−	0.996341i	$-0.527237\pi$
$68$			2.89026i			0.350496i
$69$	−8.11217	+	2.63580i	−0.976590	+	0.317313i
$70$	−0.0759602	−	0.104550i	−0.00907899	−	0.0124962i
$71$	−2.11211	+	2.90707i	−0.250661	+	0.345005i	−0.915743	−	0.401765i	$-0.868397\pi$
$71$	−2.11211	+	2.90707i	−0.250661	+	0.345005i	0.665082	+	0.746771i	$0.268397\pi$
$72$	−21.2675	−	15.4517i	−2.50640	−	1.82101i
$73$	16.5951			1.94231			0.971154	−	0.238455i	$-0.0766410\pi$
$73$	16.5951			1.94231			0.971154	+	0.238455i	$0.0766410\pi$
$74$	8.03367	+	5.83680i	0.933895	+	0.678515i
$75$	−15.4804	−	5.02988i	−1.78752	−	0.580800i
$76$	−4.52907	+	1.47158i	−0.519520	+	0.168802i
$77$	−1.76627	+	1.28327i	−0.201285	+	0.146242i
$78$	−33.9465	+	24.6636i	−3.84368	+	2.79260i
$79$			0.0170033i			0.00191302i	1.00000		0.000956509i	$0.000304466\pi$
$79$			0.0170033i			0.00191302i	−1.00000		0.000956509i	$0.999696\pi$
$80$	−0.0192993	−	0.0593971i	−0.00215773	−	0.00664080i
$81$	26.0894			2.89882
$82$	−14.9628	+	0.796295i	−1.65236	+	0.0879360i
$83$	10.6978			1.17423			0.587117	−	0.809502i	$-0.300263\pi$
$83$	10.6978			1.17423			0.587117	+	0.809502i	$0.300263\pi$
$84$	−3.49897	−	10.7687i	−0.381769	−	1.17496i
$85$		−	0.0459180i		−	0.00498051i
$86$	20.3518	−	14.7864i	2.19459	−	1.59446i
$87$	−13.6183	+	9.89428i	−1.46004	+	1.06078i
$88$	−7.17210	+	2.33036i	−0.764548	+	0.248417i
$89$	10.7495	+	3.49272i	1.13944	+	0.370228i	0.817158	−	0.576414i	$-0.195548\pi$
$89$	10.7495	+	3.49272i	1.13944	+	0.370228i	0.322287	+	0.946642i	$0.395548\pi$
$90$	0.795690	+	0.578103i	0.0838731	+	0.0609374i
$91$	−5.50469			−0.577048
$92$	−7.36387	−	5.35017i	−0.767737	−	0.557793i
$93$	14.4900	−	19.9438i	1.50255	−	2.06808i
$94$	−15.7568	−	21.6874i	−1.62519	−	2.23689i
$95$	0.0719538	−	0.0233792i	0.00738231	−	0.00239866i
$96$			13.8825i			1.41688i
$97$	−1.08317	−	1.49085i	−0.109979	−	0.151373i	0.750479	−	0.660894i	$-0.229823\pi$
$97$	−1.08317	−	1.49085i	−0.109979	−	0.151373i	−0.860458	+	0.509521i	$0.829823\pi$
$98$	0.723131	−	2.22557i	0.0730472	−	0.224816i
$99$	9.76646	−	13.4424i	0.981566	−	1.35101i
$100$	−5.36754	−	16.5196i	−0.536754	−	1.65196i
$101$	−2.07624	−	0.674611i	−0.206593	−	0.0671263i	0.203892	−	0.978993i	$-0.434641\pi$
$101$	−2.07624	−	0.674611i	−0.206593	−	0.0671263i	−0.410486	+	0.911867i	$0.634641\pi$
$102$	1.95856	−	6.02782i	0.193926	−	0.596843i
$103$	1.93102	−	5.94307i	0.190269	−	0.585588i	−0.809730	−	0.586802i	$-0.800387\pi$
$103$	1.93102	−	5.94307i	0.190269	−	0.585588i	0.999999	+	0.00121446i	$0.000386576\pi$
$104$	−18.0834	−	5.87564i	−1.77322	−	0.576154i
$105$	0.0555886	+	0.171084i	0.00542489	+	0.0166961i
$106$	−0.751559	+	1.03443i	−0.0729978	+	0.100473i
$107$	−3.55641	+	10.9455i	−0.343812	+	1.05814i	0.618405	+	0.785859i	$0.287779\pi$
$107$	−3.55641	+	10.9455i	−0.343812	+	1.05814i	−0.962217	+	0.272284i	$0.912221\pi$
$108$	30.6855	+	42.2350i	2.95272	+	4.06407i
$109$			1.45514i			0.139377i	0.997569	+	0.0696885i	$0.0222005\pi$
$109$			1.45514i			0.139377i	−0.997569	+	0.0696885i	$0.977799\pi$
$110$	0.268333	−	0.0871866i	0.0255845	−	0.00831292i
$111$	−8.12476	−	11.1828i	−0.771168	−	1.06142i
$112$	0.664728	−	0.914920i	0.0628109	−	0.0864518i
$113$	−5.52268	−	4.01246i	−0.519530	−	0.377460i	0.296897	−	0.954910i	$-0.404048\pi$
$113$	−5.52268	−	4.01246i	−0.519530	−	0.377460i	−0.816427	+	0.577449i	$0.804048\pi$
$114$	10.4428			0.978062
$115$	0.116991	+	0.0849988i	0.0109094	+	0.00792618i
$116$	−17.0840	−	5.55093i	−1.58621	−	0.515391i
$117$	39.8435	−	12.9459i	3.68354	−	1.19685i
$118$	2.34886	−	1.70654i	0.216230	−	0.157100i
$119$	0.672678	−	0.488729i	0.0616643	−	0.0448017i
$120$			0.621360i			0.0567222i
$121$	1.92626	+	5.92841i	0.175114	+	0.538947i
$122$	21.1249			1.91256
$123$	20.1511	+	5.38203i	1.81697	+	0.485281i
$124$	26.3069			2.36243
$125$	0.170602	+	0.525058i	0.0152591	+	0.0469626i
$126$			17.8096i			1.58660i
$127$	3.94581	−	2.86680i	0.350134	−	0.254387i	−0.398791	−	0.917042i	$-0.630570\pi$
$127$	3.94581	−	2.86680i	0.350134	−	0.254387i	0.748925	+	0.662655i	$0.230570\pi$
$128$	−16.2672	+	11.8188i	−1.43783	+	1.04464i
$129$	−33.3033	+	10.8209i	−2.93219	+	0.952726i
$130$	0.676561	+	0.219828i	0.0593383	+	0.0192802i
$131$	−6.62633	−	4.81431i	−0.578945	−	0.420628i	0.259399	−	0.965770i	$-0.416476\pi$
$131$	−6.62633	−	4.81431i	−0.578945	−	0.420628i	−0.838344	+	0.545142i	$0.816476\pi$
$132$	24.7205			2.15165
$133$	1.10834	+	0.805254i	0.0961050	+	0.0698244i
$134$	−19.2816	+	26.5388i	−1.66567	+	2.29260i
$135$	−0.487505	−	0.670993i	−0.0419578	−	0.0577499i
$136$	2.73147	−	0.887508i	0.234221	−	0.0761031i
$137$			16.6944i			1.42630i	0.701012	+	0.713150i	$0.252732\pi$
$137$			16.6944i			1.42630i	−0.701012	+	0.713150i	$0.747268\pi$
$138$	11.7323	+	16.1481i	0.998721	+	1.37462i
$139$	−1.28033	+	3.94046i	−0.108596	+	0.334225i	−0.990558	−	0.137096i	$-0.956223\pi$
$139$	−1.28033	+	3.94046i	−0.108596	+	0.334225i	0.881961	+	0.471322i	$0.156223\pi$
$140$	−0.112834	+	0.155303i	−0.00953621	+	0.0131255i
$141$	11.5310	+	35.4889i	0.971088	+	2.98870i
$142$	7.99720	+	2.59845i	0.671110	+	0.218057i
$143$	3.71377	−	11.4298i	0.310561	−	0.955808i
$144$	−2.65966	+	8.18560i	−0.221639	+	0.682134i
$145$	0.271416	+	0.0881883i	0.0225399	+	0.00732364i
$146$	−12.0004	−	36.9335i	−0.993161	−	3.05663i
$147$	−1.91465	+	2.63528i	−0.157917	+	0.217355i
$148$	4.55819	−	14.0287i	0.374681	−	1.15315i
$149$	−9.44533	−	13.0004i	−0.773792	−	1.06503i	−0.995940	−	0.0900203i	$-0.971307\pi$
$149$	−9.44533	−	13.0004i	−0.773792	−	1.06503i	0.222148	−	0.975013i	$-0.428693\pi$
$150$			38.0899i			3.11002i
$151$	−15.8474	+	5.14912i	−1.28964	+	0.419029i	−0.871965	−	0.489567i	$-0.837155\pi$
$151$	−15.8474	+	5.14912i	−1.28964	+	0.419029i	−0.417674	+	0.908597i	$0.637155\pi$
$152$	2.78146	+	3.82835i	0.225606	+	0.310521i
$153$	−3.71952	+	5.11948i	−0.300705	+	0.413886i
$154$	4.13325	+	3.00298i	0.333067	+	0.241987i
$155$	−0.417940			−0.0335698
$156$	50.4253	+	36.6361i	4.03725	+	2.93324i
$157$	8.98279	+	2.91869i	0.716905	+	0.232937i	0.644681	−	0.764452i	$-0.276990\pi$
$157$	8.98279	+	2.91869i	0.716905	+	0.232937i	0.0722242	+	0.997388i	$0.476990\pi$
$158$	0.0378419	−	0.0122956i	0.00301054	−	0.000978184i
$159$	1.43992	−	1.04616i	0.114193	−	0.0829660i
$160$	0.190410	−	0.138341i	0.0150532	−	0.0109368i
$161$			2.61855i			0.206371i
$162$	−18.8660	−	58.0637i	−1.48226	−	4.56192i
$163$	13.9981			1.09642			0.548209	−	0.836341i	$-0.315310\pi$
$163$	13.9981			1.09642			0.548209	+	0.836341i	$0.315310\pi$
$164$	7.99323	+	20.7729i	0.624167	+	1.62209i
$165$	−0.392738			−0.0305746
$166$	−7.73590	−	23.8086i	−0.600422	−	1.84791i
$167$		−	11.6306i		−	0.900000i	−0.893029	−	0.450000i	$-0.851424\pi$
$167$		−	11.6306i		−	0.900000i	0.893029	−	0.450000i	$-0.148576\pi$
$168$	−9.10265	+	6.61346i	−0.702285	+	0.510240i
$169$	13.9973	−	10.1696i	1.07671	−	0.782279i
$170$	−0.102194	+	0.0332047i	−0.00783789	+	0.00254668i
$171$	−9.91607	−	3.22193i	−0.758301	−	0.246387i
$172$	−30.2313	−	21.9643i	−2.30511	−	1.67476i
$173$	2.92905			0.222692			0.111346	−	0.993782i	$-0.464484\pi$
$173$	2.92905			0.222692			0.111346	+	0.993782i	$0.464484\pi$
$174$	31.8682	+	23.1536i	2.41592	+	1.75527i
$175$	−2.93713	+	4.04262i	−0.222026	+	0.305593i
$176$	1.45126	+	1.99748i	0.109393	+	0.150566i
$177$	−3.84362	+	1.24887i	−0.288904	+	0.0938707i
$178$		−	26.4494i		−	1.98247i
$179$	13.3838	+	18.4213i	1.00035	+	1.37687i	0.925108	+	0.379704i	$0.123974\pi$
$179$	13.3838	+	18.4213i	1.00035	+	1.37687i	0.0752458	+	0.997165i	$0.476026\pi$
$180$	0.451463	−	1.38946i	0.0336501	−	0.103564i
$181$	−11.0550	+	15.2158i	−0.821709	+	1.13099i	0.167701	+	0.985838i	$0.446366\pi$
$181$	−11.0550	+	15.2158i	−0.821709	+	1.13099i	−0.989410	+	0.145147i	$0.953634\pi$
$182$	3.98061	+	12.2511i	0.295062	+	0.908109i
$183$	−27.9664	−	9.08682i	−2.06733	−	0.671717i
$184$	−2.79501	+	8.60215i	−0.206051	+	0.634159i
$185$	−0.0724165	+	0.222875i	−0.00532417	+	0.0163861i
$186$	−54.8645	−	17.8266i	−4.02286	−	1.30711i
$187$	0.560960	+	1.72646i	0.0410214	+	0.126251i
$188$	−23.4058	+	32.2153i	−1.70704	+	2.34954i
$189$	4.64098	−	14.2835i	0.337581	−	1.03897i
$190$	−0.104064	−	0.143232i	−0.00754960	−	0.0103911i
$191$		−	9.55139i		−	0.691115i	−0.938398	−	0.345557i	$-0.887690\pi$
$191$		−	9.55139i		−	0.691115i	0.938398	−	0.345557i	$-0.112310\pi$
$192$	37.9035	−	12.3156i	2.73545	−	0.888802i
$193$	6.33102	+	8.71390i	0.455717	+	0.627241i	0.973614	−	0.228203i	$-0.0732849\pi$
$193$	6.33102	+	8.71390i	0.455717	+	0.627241i	−0.517897	+	0.855443i	$0.673285\pi$
$194$	−2.53471	+	3.48874i	−0.181982	+	0.250477i
$195$	−0.801113	−	0.582043i	−0.0573689	−	0.0416809i
$196$	−3.47607			−0.248290
$197$	−12.8920	−	9.36655i	−0.918513	−	0.667339i	0.0246401	−	0.999696i	$-0.492156\pi$
$197$	−12.8920	−	9.36655i	−0.918513	−	0.667339i	−0.943154	+	0.332357i	$0.892156\pi$
$198$	−36.9793	−	12.0153i	−2.62801	−	0.853891i
$199$	1.68826	−	0.548548i	0.119677	−	0.0388855i	−0.248566	−	0.968615i	$-0.579959\pi$
$199$	1.68826	−	0.548548i	0.119677	−	0.0388855i	0.368243	+	0.929729i	$0.379959\pi$
$200$	−13.9638	+	10.1453i	−0.987388	+	0.717379i
$201$	36.9417	−	26.8397i	2.60567	−	1.89313i
$202$			5.10864i			0.359443i
$203$	1.59690	+	4.91475i	0.112080	+	0.344948i
$204$	−9.41472			−0.659162
$205$	−0.126990	−	0.330021i	−0.00886933	−	0.0230497i
$206$	−14.6231			−1.01884
$207$	−6.15831	−	18.9533i	−0.428032	−	1.31735i
$208$			6.22527i			0.431645i
$209$	−2.41976	+	1.75806i	−0.167378	+	0.121607i
$210$	0.340561	−	0.247432i	0.0235010	−	0.0170744i
$211$	1.26997	−	0.412639i	0.0874284	−	0.0284072i	−0.264976	−	0.964255i	$-0.585364\pi$
$211$	1.26997	−	0.412639i	0.0874284	−	0.0284072i	0.352405	+	0.935848i	$0.385364\pi$
$212$	1.80636	+	0.586922i	0.124061	+	0.0403100i
$213$	−9.46945	−	6.87996i	−0.648836	−	0.471407i
$214$	26.9317			1.84102
$215$	0.480288	+	0.348950i	0.0327554	+	0.0237982i
$216$	30.4920	−	41.9686i	2.07472	−	2.85560i
$217$	−4.44836	−	6.12264i	−0.301974	−	0.415632i
$218$	3.23851	−	1.05226i	0.219340	−	0.0712677i
$219$			54.0567i			3.65281i
$220$	−0.246343	−	0.339062i	−0.0166084	−	0.0228595i
$221$	−1.41438	+	4.35300i	−0.0951412	+	0.292814i
$222$	−19.0128	+	26.1688i	−1.27605	+	1.75634i
$223$	−0.234775	−	0.722562i	−0.0157217	−	0.0483864i	0.942888	−	0.333110i	$-0.108098\pi$
$223$	−0.234775	−	0.722562i	−0.0157217	−	0.0483864i	−0.958610	+	0.284724i	$0.908098\pi$
$224$	4.05327	+	1.31699i	0.270820	+	0.0879948i
$225$	11.7518	−	36.1685i	0.783457	−	2.41123i
$226$	−4.93638	+	15.1926i	−0.328363	+	1.01060i
$227$	11.5879	+	3.76513i	0.769114	+	0.249900i	0.667186	−	0.744891i	$-0.267499\pi$
$227$	11.5879	+	3.76513i	0.769114	+	0.249900i	0.101928	+	0.994792i	$0.467499\pi$
$228$	−4.79352	−	14.7529i	−0.317459	−	0.977037i
$229$	−14.2470	+	19.6093i	−0.941465	+	1.29582i	0.0137501	+	0.999905i	$0.495623\pi$
$229$	−14.2470	+	19.6093i	−0.941465	+	1.29582i	−0.955216	+	0.295911i	$0.904377\pi$
$230$	0.104571	−	0.321836i	0.00689520	−	0.0212212i
$231$	−4.18012	−	5.75344i	−0.275031	−	0.378548i
$232$			17.8499i			1.17190i
$233$	−11.7193	+	3.80783i	−0.767756	+	0.249459i	−0.666604	−	0.745412i	$-0.732253\pi$
$233$	−11.7193	+	3.80783i	−0.767756	+	0.249459i	−0.101152	+	0.994871i	$0.532253\pi$
$234$	−57.6242	−	79.3128i	−3.76701	−	5.18484i
$235$	0.371850	−	0.511808i	0.0242568	−	0.0333867i
$236$	−3.48907	−	2.53496i	−0.227119	−	0.165012i
$237$	−0.0553863			−0.00359773
$238$	−1.57413	−	1.14367i	−0.102036	−	0.0741334i
$239$	−18.1438	−	5.89529i	−1.17363	−	0.381335i	−0.343632	−	0.939104i	$-0.611657\pi$
$239$	−18.1438	−	5.89529i	−1.17363	−	0.381335i	−0.829996	+	0.557770i	$0.811657\pi$
$240$	0.193480	−	0.0628653i	0.0124891	−	0.00405794i
$241$	−13.2462	+	9.62390i	−0.853260	+	0.619930i	−0.926043	−	0.377418i	$-0.876812\pi$
$241$	−13.2462	+	9.62390i	−0.853260	+	0.619930i	0.0727830	+	0.997348i	$0.476812\pi$
$242$	11.8011	−	8.57403i	0.758606	−	0.551160i
$243$			39.9278i			2.56137i
$244$	−9.69684	−	29.8438i	−0.620776	−	1.91055i
$245$	0.0552247			0.00352818
$246$	−2.59384	−	48.7396i	−0.165377	−	3.10752i
$247$	−7.54132			−0.479842
$248$	−8.07799	−	24.8615i	−0.512953	−	1.57871i
$249$			34.8469i			2.20833i
$250$	1.04518	−	0.759371i	0.0661033	−	0.0480268i
$251$	−16.0294	+	11.6460i	−1.01177	+	0.735092i	−0.964579	−	0.263794i	$-0.915026\pi$
$251$	−16.0294	+	11.6460i	−1.01177	+	0.735092i	−0.0471879	+	0.998886i	$0.515026\pi$
$252$	25.1601	−	8.17503i	1.58494	−	0.514978i
$253$	−5.43709	−	1.76662i	−0.341827	−	0.111066i
$254$	−9.23358	−	6.70859i	−0.579366	−	0.420934i
$255$	0.149573			0.00936662
$256$	18.2702	+	13.2741i	1.14189	+	0.829631i
$257$	4.80941	−	6.61959i	0.300003	−	0.412918i	−0.632228	−	0.774782i	$-0.717859\pi$
$257$	4.80941	−	6.61959i	0.300003	−	0.412918i	0.932231	+	0.361864i	$0.117859\pi$
$258$	48.1652	+	66.2938i	2.99864	+	4.12727i
$259$	−4.03579	+	1.31131i	−0.250772	+	0.0814807i
$260$		−	1.05671i		−	0.0655341i
$261$	−23.1171	−	31.8179i	−1.43091	−	1.96948i
$262$	−5.92287	+	18.2287i	−0.365916	+	1.12617i
$263$	−2.81173	+	3.87002i	−0.173379	+	0.238636i	−0.886859	−	0.462040i	$-0.847118\pi$
$263$	−2.81173	+	3.87002i	−0.173379	+	0.238636i	0.713480	+	0.700675i	$0.247118\pi$
$264$	−7.59088	−	23.3623i	−0.467186	−	1.43785i
$265$	−0.0286979	−	0.00932450i	−0.00176290	−	0.000572800i
$266$	0.990675	−	3.04898i	0.0607422	−	0.186945i
$267$	−11.3772	+	35.0153i	−0.696271	+	2.14290i
$268$	46.3429	+	15.0577i	2.83085	+	0.919797i
$269$	5.64614	+	17.3770i	0.344251	+	1.05950i	0.961983	+	0.273108i	$0.0880516\pi$
$269$	5.64614	+	17.3770i	0.344251	+	1.05950i	−0.617732	+	0.786389i	$0.711948\pi$
$270$	−1.14081	+	1.57019i	−0.0694275	+	0.0955588i
$271$	0.978336	−	3.01101i	0.0594297	−	0.182906i	−0.916934	−	0.399038i	$-0.869344\pi$
$271$	0.978336	−	3.01101i	0.0594297	−	0.182906i	0.976364	+	0.216132i	$0.0693442\pi$
$272$	−0.552706	−	0.760734i	−0.0335127	−	0.0461263i
$273$		−	17.9309i		−	1.08523i
$274$	37.1545	−	12.0722i	2.24459	−	0.729310i
$275$	−6.41244	−	8.82597i	−0.386685	−	0.532226i
$276$	17.4276	−	23.9870i	1.04902	−	1.44385i
$277$	14.6937	+	10.6756i	0.882858	+	0.641434i	0.934006	−	0.357257i	$-0.116288\pi$
$277$	14.6937	+	10.6756i	0.882858	+	0.641434i	−0.0511479	+	0.998691i	$0.516288\pi$
$278$	9.69560			0.581504
$279$	46.5969	+	33.8547i	2.78969	+	2.02683i
$280$	0.181418	+	0.0589462i	0.0108418	+	0.00352271i
$281$	−21.6281	+	7.02739i	−1.29022	+	0.419219i	−0.872170	−	0.489203i	$-0.837288\pi$
$281$	−21.6281	+	7.02739i	−1.29022	+	0.419219i	−0.418054	+	0.908422i	$0.637288\pi$
$282$	70.6444	−	51.3262i	4.20681	−	3.05643i
$283$	4.00076	−	2.90672i	0.237820	−	0.172787i	−0.462491	−	0.886624i	$-0.653044\pi$
$283$	4.00076	−	2.90672i	0.237820	−	0.172787i	0.700312	+	0.713837i	$0.253044\pi$
$284$		−	12.4907i		−	0.741184i
$285$	0.0761553	+	0.234382i	0.00451105	+	0.0138836i
$286$	−28.1233			−1.66297
$287$	3.48305	−	5.37293i	0.205598	−	0.317154i
$288$	−32.4353			−1.91127
$289$	5.03965	+	15.5104i	0.296450	+	0.912379i
$290$		−	0.667826i		−	0.0392161i
$291$	4.85628	−	3.52829i	0.284680	−	0.206832i
$292$	−46.6686	+	33.9067i	−2.73107	+	1.98424i
$293$	17.3283	−	5.63031i	1.01233	−	0.328926i	0.244549	−	0.969637i	$-0.421360\pi$
$293$	17.3283	−	5.63031i	1.01233	−	0.328926i	0.767782	+	0.640711i	$0.221360\pi$
$294$	7.24954	+	2.35552i	0.422802	+	0.137377i
$295$	0.0554313	+	0.0402732i	0.00322734	+	0.00234480i
$296$	−14.6576			−0.851954
$297$	26.5268	+	19.2728i	1.53924	+	1.11832i
$298$	−22.1030	+	30.4222i	−1.28039	+	1.76231i
$299$	−8.47251	−	11.6614i	−0.489978	−	0.674397i
$300$	53.8108	−	17.4842i	3.10677	−	1.00945i
$301$			10.7501i			0.619623i
$302$	22.9194	+	31.5459i	1.31886	+	1.81526i
$303$	2.19747	−	6.76312i	0.126241	−	0.388531i
$304$	0.910665	−	1.25342i	0.0522302	−	0.0718887i
$305$	0.154055	+	0.474132i	0.00882116	+	0.0271487i
$306$	14.0834	+	4.57599i	0.805097	+	0.261592i
$307$	4.52464	−	13.9254i	0.258235	−	0.794764i	−0.734941	−	0.678132i	$-0.762790\pi$
$307$	4.52464	−	13.9254i	0.258235	−	0.794764i	0.993175	−	0.116633i	$-0.0372100\pi$
$308$	2.34515	−	7.21762i	0.133627	−	0.411262i
$309$	19.3589	+	6.29009i	1.10129	+	0.357831i
$310$	0.302225	+	0.930154i	0.0171652	+	0.0528292i
$311$	10.8380	−	14.9172i	0.614564	−	0.845875i	−0.382379	−	0.924006i	$-0.624895\pi$
$311$	10.8380	−	14.9172i	0.614564	−	0.845875i	0.996943	+	0.0781306i	$0.0248951\pi$
$312$	19.1393	−	58.9046i	1.08355	−	3.33482i
$313$	−16.2501	−	22.3664i	−0.918511	−	1.26422i	−0.964176	−	0.265265i	$-0.914541\pi$
$313$	−16.2501	−	22.3664i	−0.918511	−	1.26422i	0.0456647	−	0.998957i	$-0.485459\pi$
$314$		−	22.1024i		−	1.24731i
$315$	−0.399722	+	0.129878i	−0.0225218	+	0.00731778i
$316$	−0.0347408	−	0.0478165i	−0.00195432	−	0.00268989i
$317$	19.8680	−	27.3459i	1.11590	−	1.53590i	0.303463	−	0.952843i	$-0.401857\pi$
$317$	19.8680	−	27.3459i	1.11590	−	1.53590i	0.812432	−	0.583055i	$-0.198143\pi$
$318$	−3.36955	−	2.44812i	−0.188955	−	0.137284i
$319$	−11.2822			−0.631684
$320$	−0.546631	−	0.397151i	−0.0305576	−	0.0222014i
$321$	−35.6538	−	11.5846i	−1.99000	−	0.646591i
$322$	5.82775	−	1.89355i	0.324768	−	0.105524i
$323$	0.921556	−	0.669549i	0.0512767	−	0.0372547i
$324$	−73.3685	+	53.3054i	−4.07603	+	2.96141i
$325$		−	27.5067i		−	1.52579i
$326$	−10.1225	−	31.1538i	−0.560632	−	1.72545i
$327$	−4.73996			−0.262120
$328$	17.1771	−	13.9328i	0.948447	−	0.769308i
$329$	11.4555			0.631565
$330$	0.284001	+	0.874065i	0.0156337	+	0.0481157i
$331$			14.4869i			0.796270i	0.917327	+	0.398135i	$0.130342\pi$
$331$			14.4869i			0.796270i	−0.917327	+	0.398135i	$0.869658\pi$
$332$	−30.0843	+	21.8575i	−1.65109	+	1.19959i
$333$	26.1275	−	18.9828i	1.43178	−	1.04025i
$334$	−25.8846	+	8.41041i	−1.41634	+	0.460197i
$335$	−0.736256	−	0.239224i	−0.0402260	−	0.0130702i
$336$	2.98025	+	2.16528i	0.162586	+	0.118126i
$337$	3.14808			0.171487			0.0857435	−	0.996317i	$-0.472673\pi$
$337$	3.14808			0.171487			0.0857435	+	0.996317i	$0.472673\pi$
$338$	−32.7551	−	23.7979i	−1.78164	−	1.29444i
$339$	13.0702	−	17.9895i	0.709873	−	0.977057i
$340$	0.0938187	+	0.129130i	0.00508804	+	0.00700308i
$341$	15.7140	−	5.10579i	0.850961	−	0.276494i
$342$			24.3987i			1.31933i
$343$	0.587785	+	0.809017i	0.0317374	+	0.0436828i
$344$	−11.4745	+	35.3148i	−0.618663	+	1.90405i
$345$	−0.276874	+	0.381085i	−0.0149064	+	0.0205169i
$346$	−2.11809	−	6.51880i	−0.113869	−	0.350453i
$347$	−6.46220	−	2.09970i	−0.346909	−	0.112718i	0.130380	−	0.991464i	$-0.458380\pi$
$347$	−6.46220	−	2.09970i	−0.346909	−	0.112718i	−0.477289	+	0.878747i	$0.658380\pi$
$348$	18.0816	−	55.6493i	0.969273	−	2.98312i
$349$	−5.21810	+	16.0597i	−0.279319	+	0.859655i	0.708726	+	0.705484i	$0.249270\pi$
$349$	−5.21810	+	16.0597i	−0.279319	+	0.859655i	−0.988044	+	0.154170i	$0.950730\pi$
$350$	11.1210	+	3.61345i	0.594445	+	0.193147i
$351$	25.5471	+	78.6260i	1.36361	+	4.19675i
$352$	−5.46912	+	7.52759i	−0.291505	+	0.401222i
$353$	−5.95849	+	18.3383i	−0.317138	+	0.976051i	0.657727	+	0.753256i	$0.271518\pi$
$353$	−5.95849	+	18.3383i	−0.317138	+	0.976051i	−0.974865	+	0.222795i	$0.928482\pi$
$354$	5.55888	+	7.65114i	0.295451	+	0.406654i
$355$			0.198441i			0.0105321i
$356$	−37.3660	+	12.1409i	−1.98039	+	0.643469i
$357$	1.59198	+	2.19118i	0.0842566	+	0.115969i
$358$	31.3195	−	43.1076i	1.65529	−	2.27831i
$359$	2.78856	+	2.02601i	0.147175	+	0.106929i	0.658936	−	0.752199i	$-0.271007\pi$
$359$	2.78856	+	2.02601i	0.147175	+	0.106929i	−0.511761	+	0.859128i	$0.671007\pi$
$360$	−1.45175			−0.0765140
$361$	−13.8529	−	10.0647i	−0.729101	−	0.529723i
$362$	41.8581	+	13.6005i	2.20001	+	0.714827i
$363$	−19.3112	+	6.27458i	−1.01357	+	0.329330i
$364$	15.4803	−	11.2471i	0.811387	−	0.589507i
$365$	0.741430	−	0.538681i	0.0388082	−	0.0281958i
$366$			68.8120i			3.59686i
$367$	1.99972	+	6.15450i	0.104384	+	0.321262i	0.989585	−	0.143946i	$-0.0459793\pi$
$367$	1.99972	+	6.15450i	0.104384	+	0.321262i	−0.885201	+	0.465209i	$0.845979\pi$
$368$	2.96133			0.154370
$369$	−12.5746	+	47.0813i	−0.654608	+	2.45095i
$370$	0.548390			0.0285095
$371$	−0.168847	−	0.519656i	−0.00876608	−	0.0269792i
$372$			85.6917i			4.44291i
$373$	10.8850	−	7.90842i	0.563605	−	0.409483i	−0.269172	−	0.963092i	$-0.586750\pi$
$373$	10.8850	−	7.90842i	0.563605	−	0.409483i	0.832776	+	0.553609i	$0.186750\pi$
$374$	3.43670	−	2.49691i	0.177707	−	0.129112i
$375$	−1.71032	+	0.555716i	−0.0883205	+	0.0286971i
$376$	37.6324	+	12.2275i	1.94074	+	0.630586i
$377$	−23.0137	−	16.7204i	−1.18526	−	0.861145i
$378$	−35.1448			−1.80766
$379$	2.76765	+	2.01082i	0.142165	+	0.103289i	0.656594	−	0.754244i	$-0.271996\pi$
$379$	2.76765	+	2.01082i	0.142165	+	0.103289i	−0.514430	+	0.857533i	$0.671996\pi$
$380$	−0.154580	+	0.212762i	−0.00792981	+	0.0109144i
$381$	9.33827	+	12.8530i	0.478414	+	0.658481i
$382$	−21.2573	+	6.90690i	−1.08762	+	0.353388i
$383$		−	27.9461i		−	1.42798i	−0.700157	−	0.713989i	$-0.746887\pi$
$383$		−	27.9461i		−	1.42798i	0.700157	−	0.713989i	$-0.253113\pi$
$384$	−38.4985	−	52.9886i	−1.96462	−	2.70406i
$385$	−0.0372576	+	0.114667i	−0.00189883	+	0.00584398i
$386$	14.8152	−	20.3914i	0.754075	−	1.03790i
$387$	−25.2820	−	77.8101i	−1.28516	−	3.95531i
$388$	6.09215	+	1.97946i	0.309282	+	0.100492i
$389$	3.22213	−	9.91670i	0.163369	−	0.502797i	−0.835544	−	0.549424i	$-0.814847\pi$
$389$	3.22213	−	9.91670i	0.163369	−	0.502797i	0.998912	+	0.0466270i	$0.0148472\pi$
$390$	−0.716066	+	2.20382i	−0.0362594	+	0.111595i
$391$	2.07070	+	0.672810i	0.104720	+	0.0340255i
$392$	1.06739	+	3.28508i	0.0539113	+	0.165922i
$393$	15.6821	−	21.5845i	0.791057	−	1.08880i
$394$	−11.5233	+	35.4651i	−0.580537	+	1.78671i
$395$	0.000551931	0	0.000759667i	2.77706e−5	0	3.82230e-5i
$396$			57.7572i			2.90241i
$397$	−15.3971	+	5.00281i	−0.772756	+	0.251084i	−0.668744	−	0.743492i	$-0.733168\pi$
$397$	−15.3971	+	5.00281i	−0.772756	+	0.251084i	−0.104012	+	0.994576i	$0.533168\pi$
$398$	−2.44166	−	3.36065i	−0.122389	−	0.168454i
$399$	−2.62303	+	3.61029i	−0.131316	+	0.180740i
$400$	4.57181	+	3.32161i	0.228591	+	0.166081i
$401$	34.6181			1.72875			0.864374	−	0.502850i	$-0.167715\pi$
$401$	34.6181			1.72875			0.864374	+	0.502850i	$0.167715\pi$
$402$	−86.4472	−	62.8076i	−4.31160	−	3.13256i
$403$	39.6205	+	12.8735i	1.97364	+	0.641274i
$404$	7.21714	−	2.34499i	0.359066	−	0.116668i
$405$	1.16561	−	0.846869i	0.0579199	−	0.0420813i
$406$	9.78335	−	7.10802i	0.485539	−	0.352765i
$407$		−	9.26450i		−	0.459224i
$408$	2.89096	+	8.89746i	0.143124	+	0.440490i
$409$	−18.9287			−0.935966			−0.467983	−	0.883737i	$-0.655019\pi$
$409$	−18.9287			−0.935966			−0.467983	+	0.883737i	$0.655019\pi$
$410$	−0.642655	+	0.521272i	−0.0317385	+	0.0257438i
$411$	−54.3802			−2.68238
$412$	6.71235	+	20.6585i	0.330694	+	1.01777i
$413$			1.24069i			0.0610505i
$414$	−37.7287	+	27.4115i	−1.85426	+	1.34720i
$415$	0.477953	−	0.347253i	0.0234618	−	0.0170460i
$416$	−22.3120	+	7.24960i	−1.09393	+	0.355441i
$417$	−12.8356	−	4.17054i	−0.628563	−	0.204232i
$418$	5.66247	+	4.11403i	0.276961	+	0.201224i
$419$	−2.92273			−0.142785			−0.0713925	−	0.997448i	$-0.522744\pi$
$419$	−2.92273			−0.142785			−0.0713925	+	0.997448i	$0.522744\pi$
$420$	−0.505882	−	0.367545i	−0.0246845	−	0.0179343i
$421$	13.4133	−	18.4619i	0.653726	−	0.899777i	−0.345527	−	0.938409i	$-0.612300\pi$
$421$	13.4133	−	18.4619i	0.653726	−	0.899777i	0.999254	+	0.0386318i	$0.0122999\pi$
$422$	−1.83671	−	2.52801i	−0.0894097	−	0.123062i
$423$	−82.9165	+	26.9412i	−4.03154	+	1.30993i
$424$		−	1.88734i		−	0.0916573i
$425$	2.44216	+	3.36134i	0.118462	+	0.163049i
$426$	−8.46416	+	26.0500i	−0.410090	+	1.26213i
$427$	−5.30614	+	7.30327i	−0.256782	+	0.353430i
$428$	−12.3623	−	38.0474i	−0.597556	−	1.83909i
$429$	37.2313	+	12.0972i	1.79755	+	0.584058i
$430$	0.429300	−	1.32125i	0.0207027	−	0.0637163i
$431$	4.43170	−	13.6394i	0.213467	−	0.656985i	−0.785791	−	0.618492i	$-0.787744\pi$
$431$	4.43170	−	13.6394i	0.213467	−	0.656985i	0.999259	−	0.0384937i	$-0.0122560\pi$
$432$	−16.1532	−	5.24850i	−0.777172	−	0.252519i
$433$	1.64130	+	5.05141i	0.0788760	+	0.242755i	0.982717	−	0.185112i	$-0.0592649\pi$
$433$	1.64130	+	5.05141i	0.0788760	+	0.242755i	−0.903841	+	0.427868i	$0.859265\pi$
$434$	−10.4096	+	14.3276i	−0.499677	+	0.687746i
$435$	−0.287264	+	0.884107i	−0.0137732	+	0.0423897i
$436$	−2.97311	−	4.09214i	−0.142386	−	0.195978i
$437$			3.58736i			0.171607i
$438$	120.307	−	39.0900i	5.74848	−	1.86779i
$439$	−4.49318	−	6.18434i	−0.214448	−	0.295162i	0.688218	−	0.725504i	$-0.258393\pi$
$439$	−4.49318	−	6.18434i	−0.214448	−	0.295162i	−0.902666	+	0.430341i	$0.858393\pi$
$440$	−0.244789	+	0.336923i	−0.0116699	+	0.0160622i
$441$	−6.15710	−	4.47340i	−0.293195	−	0.213019i
$442$	10.7107			0.509455
$443$	7.92314	+	5.75650i	0.376440	+	0.273500i	0.759876	−	0.650068i	$-0.225259\pi$
$443$	7.92314	+	5.75650i	0.376440	+	0.273500i	−0.383436	+	0.923567i	$0.625259\pi$
$444$	45.6969	+	14.8478i	2.16868	+	0.704646i
$445$	0.593638	−	0.192885i	0.0281411	−	0.00914361i
$446$	−1.43834	+	1.04501i	−0.0681073	+	0.0494828i
$447$	42.3473	−	30.7671i	2.00296	−	1.45524i
$448$		−	12.2350i		−	0.578048i
$449$	−4.99388	−	15.3696i	−0.235676	−	0.725336i	−0.997031	−	0.0770007i	$-0.975466\pi$
$449$	−4.99388	−	15.3696i	−0.235676	−	0.725336i	0.761355	−	0.648335i	$-0.224534\pi$
$450$	−88.9935			−4.19519
$451$	8.80636	+	10.8570i	0.414675	+	0.511236i
$452$	23.7290			1.11612
$453$	−16.7727	−	51.6210i	−0.788050	−	2.42537i
$454$		−	28.5123i		−	1.33815i
$455$	−0.245937	+	0.178684i	−0.0115297	+	0.00837682i
$456$	−12.4704	+	9.06031i	−0.583982	+	0.424288i
$457$	11.2034	−	3.64021i	0.524074	−	0.170282i	−0.0350194	−	0.999387i	$-0.511149\pi$
$457$	11.2034	−	3.64021i	0.524074	−	0.170282i	0.559093	+	0.829105i	$0.311149\pi$
$458$	53.9441	+	17.5275i	2.52064	+	0.819007i
$459$	−10.1026	−	7.33999i	−0.471550	−	0.342601i
$460$	−0.502669			−0.0234371
$461$	1.75860	+	1.27770i	0.0819063	+	0.0595084i	0.627985	−	0.778226i	$-0.283880\pi$
$461$	1.75860	+	1.27770i	0.0819063	+	0.0595084i	−0.546079	+	0.837734i	$0.683880\pi$
$462$	−9.78189	+	13.4636i	−0.455095	+	0.626384i
$463$	5.25134	+	7.22785i	0.244051	+	0.335907i	0.913417	−	0.407026i	$-0.133434\pi$
$463$	5.25134	+	7.22785i	0.244051	+	0.335907i	−0.669366	+	0.742933i	$0.733434\pi$
$464$	5.55811	−	1.80594i	0.258029	−	0.0838387i
$465$		−	1.36140i		−	0.0631332i
$466$	16.9492	+	23.3285i	0.785154	+	1.08067i
$467$	9.15884	−	28.1880i	0.423821	−	1.30439i	−0.480299	−	0.877105i	$-0.659472\pi$
$467$	9.15884	−	28.1880i	0.423821	−	1.30439i	0.904119	−	0.427281i	$-0.140528\pi$
$468$	−85.5969	+	117.814i	−3.95672	+	5.44596i
$469$	−4.33183	−	13.3320i	−0.200025	−	0.615615i
$470$	−1.40796	−	0.457473i	−0.0649443	−	0.0211017i
$471$	−9.50730	+	29.2605i	−0.438073	+	1.34825i
$472$	−1.32430	+	4.07578i	−0.0609559	+	0.187603i
$473$	−22.3212	−	7.25259i	−1.02633	−	0.333474i
$474$	0.0400515	+	0.123266i	0.00183963	+	0.00566179i
$475$	−4.02382	+	5.53831i	−0.184625	+	0.254115i
$476$	−0.893141	+	2.74880i	−0.0409370	+	0.125991i
$477$	2.44426	+	3.36423i	0.111915	+	0.154038i
$478$			44.6434i			2.04194i
$479$	1.11173	−	0.361222i	0.0507961	−	0.0165046i	−0.283509	−	0.958970i	$-0.591499\pi$
$479$	1.11173	−	0.361222i	0.0507961	−	0.0165046i	0.334305	+	0.942465i	$0.391499\pi$
$480$	0.450631	+	0.620240i	0.0205684	+	0.0283100i
$481$	13.7301	−	18.8979i	0.626038	−	0.861668i
$482$	30.9973	+	22.5209i	1.41189	+	1.02580i
$483$	−8.52964			−0.388112
$484$	−17.5298	−	12.7362i	−0.796811	−	0.578917i
$485$	−0.0967867	−	0.0314479i	−0.00439486	−	0.00142798i
$486$	88.8621	−	28.8730i	4.03087	−	1.30971i
$487$	4.73835	−	3.44261i	0.214715	−	0.156000i	−0.475229	−	0.879862i	$-0.657635\pi$
$487$	4.73835	−	3.44261i	0.214715	−	0.156000i	0.689944	+	0.723862i	$0.257635\pi$
$488$	−25.2265	+	18.3281i	−1.14195	+	0.829676i
$489$			45.5974i			2.06199i
$490$	−0.0399347	−	0.122906i	−0.00180406	−	0.00555234i
$491$	−1.60853			−0.0725919			−0.0362960	−	0.999341i	$-0.511556\pi$
$491$	−1.60853			−0.0725919			−0.0362960	+	0.999341i	$0.511556\pi$
$492$	−67.6654	+	26.0371i	−3.05059	+	1.17384i
$493$	4.29680			0.193518
$494$	5.45336	+	16.7837i	0.245358	+	0.755135i
$495$		−	0.917597i		−	0.0412429i
$496$	−6.92411	+	5.03066i	−0.310902	+	0.225883i
$497$	−2.90707	+	2.11211i	−0.130400	+	0.0947410i
$498$	77.5541	−	25.1988i	3.47528	−	1.12919i
$499$	−7.59506	−	2.46778i	−0.340001	−	0.110473i	0.134039	−	0.990976i	$-0.457205\pi$
$499$	−7.59506	−	2.46778i	−0.340001	−	0.110473i	−0.474041	+	0.880503i	$0.657205\pi$
$500$	−1.55255	−	1.12800i	−0.0694323	−	0.0504455i
$501$	37.8853			1.69259
$502$	37.5104	+	27.2529i	1.67417	+	1.21636i
$503$	−2.24093	+	3.08438i	−0.0999182	+	0.137526i	−0.856049	−	0.516895i	$-0.827088\pi$
$503$	−2.24093	+	3.08438i	−0.0999182	+	0.137526i	0.756130	+	0.654421i	$0.227088\pi$
$504$	−15.4517	−	21.2675i	−0.688276	−	0.947330i
$505$	−0.114660	+	0.0372552i	−0.00510229	+	0.00165783i
$506$			13.3781i			0.594729i
$507$	33.1265	+	45.5947i	1.47120	+	2.02493i
$508$	−5.23900	+	16.1240i	−0.232443	+	0.715386i
$509$	19.8675	−	27.3453i	0.880611	−	1.21206i	−0.0956403	−	0.995416i	$-0.530490\pi$
$509$	19.8675	−	27.3453i	0.880611	−	1.21206i	0.976251	−	0.216641i	$-0.0695101\pi$
$510$	−0.108161	−	0.332884i	−0.00478944	−	0.0147404i
$511$	15.7829	+	5.12816i	0.698193	+	0.226857i
$512$	3.90361	−	12.0141i	0.172517	−	0.530952i
$513$	6.35805	−	19.5681i	0.280715	−	0.863951i
$514$	−18.2102	−	5.91684i	−0.803216	−	0.260981i
$515$	−0.106640	−	0.328204i	−0.00469912	−	0.0144624i
$516$	71.5463	−	98.4751i	3.14965	−	4.33512i
$517$	−7.72855	+	23.7860i	−0.339901	+	1.04611i
$518$	5.83680	+	8.03367i	0.256454	+	0.352979i
$519$			9.54107i			0.418807i
$520$	−0.998648	+	0.324481i	−0.0437936	+	0.0142294i
$521$	6.93136	+	9.54020i	0.303668	+	0.417964i	0.933394	−	0.358854i	$-0.116832\pi$
$521$	6.93136	+	9.54020i	0.303668	+	0.417964i	−0.629725	+	0.776818i	$0.716832\pi$
$522$	−54.0963	+	74.4571i	−2.36773	+	3.25890i
$523$	−0.0865540	−	0.0628852i	−0.00378474	−	0.00274978i	0.585891	−	0.810390i	$-0.300745\pi$
$523$	−0.0865540	−	0.0628852i	−0.00378474	−	0.00274978i	−0.589676	+	0.807640i	$0.700745\pi$
$524$	28.4710			1.24376
$525$	−13.1684	−	9.56739i	−0.574716	−	0.417555i
$526$	10.6462	+	3.45917i	0.464198	+	0.150827i
$527$	−5.98462	+	1.94452i	−0.260694	+	0.0847047i
$528$	−6.50658	+	4.72731i	−0.283163	+	0.205730i
$529$	13.0601	−	9.48874i	0.567832	−	0.412554i
$530$			0.0706118i			0.00306718i
$531$	−2.91787	−	8.98027i	−0.126625	−	0.389711i
$532$	−4.76214			−0.206465
$533$	1.87315	+	35.1974i	0.0811351	+	1.52457i
$534$	86.1561			3.72834
$535$	0.196402	+	0.604463i	0.00849120	+	0.0261332i
$536$		−	48.4205i		−	2.09145i
$537$	−60.0052	+	43.5963i	−2.58942	+	1.88132i
$538$	34.5909	−	25.1317i	1.49132	−	1.08351i
$539$	−2.07638	+	0.674656i	−0.0894359	+	0.0290595i
$540$	2.74192	+	0.890904i	0.117993	+	0.0383384i
$541$	−10.1196	−	7.35230i	−0.435075	−	0.316100i	0.348600	−	0.937272i	$-0.386657\pi$
$541$	−10.1196	−	7.35230i	−0.435075	−	0.316100i	−0.783675	+	0.621171i	$0.786657\pi$
$542$	−7.40867			−0.318229
$543$	−49.5640	−	36.0103i	−2.12699	−	1.54535i
$544$	2.08289	−	2.86686i	0.0893033	−	0.122915i
$545$	0.0472342	+	0.0650123i	0.00202329	+	0.00278482i
$546$	−39.9065	+	12.9664i	−1.70784	+	0.554911i
$547$		−	4.61443i		−	0.197299i	−0.995122	−	0.0986493i	$-0.968548\pi$
$547$		−	4.61443i		−	0.197299i	0.995122	−	0.0986493i	$-0.0314522\pi$
$548$	−34.1097	−	46.9480i	−1.45709	−	2.00552i
$549$	21.2305	−	65.3409i	0.906097	−	2.78868i
$550$	−15.0058	+	20.6536i	−0.639847	+	0.880674i
$551$	2.18772	+	6.73312i	0.0932001	+	0.286840i
$552$	−28.0206	−	9.10444i	−1.19263	−	0.387511i
$553$	−0.00525430	+	0.0161711i	−0.000223436	+	0.000687664i
$554$	13.1338	−	40.4216i	0.558001	−	1.71735i
$555$	−0.725992	−	0.235889i	−0.0308166	−	0.0100129i
$556$	−4.45052	−	13.6973i	−0.188744	−	0.580895i
$557$	−5.06663	+	6.97362i	−0.214680	+	0.295482i	−0.902753	−	0.430160i	$-0.858457\pi$
$557$	−5.06663	+	6.97362i	−0.214680	+	0.295482i	0.688073	+	0.725642i	$0.258457\pi$
$558$	41.6501	−	128.186i	1.76319	−	5.42654i
$559$	−34.7826	−	47.8742i	−1.47115	−	2.02486i
$560$		−	0.0624538i		−	0.00263915i
$561$	−5.62374	+	1.82727i	−0.237435	+	0.0771472i
$562$	31.2799	+	43.0530i	1.31946	+	1.81608i
$563$	1.95901	−	2.69635i	0.0825626	−	0.113638i	−0.765738	−	0.643153i	$-0.777626\pi$
$563$	1.95901	−	2.69635i	0.0825626	−	0.113638i	0.848301	+	0.529515i	$0.177626\pi$
$564$	−104.938	−	76.2417i	−4.41867	−	3.21035i
$565$	−0.376986			−0.0158599
$566$	−9.36217	−	6.80202i	−0.393521	−	0.285910i
$567$	24.8125	+	8.06207i	1.04203	+	0.338575i
$568$	−11.8044	+	3.83548i	−0.495302	+	0.160933i
$569$	−5.23247	+	3.80161i	−0.219357	+	0.159372i	−0.692037	−	0.721862i	$-0.743286\pi$
$569$	−5.23247	+	3.80161i	−0.219357	+	0.159372i	0.472680	+	0.881234i	$0.343286\pi$
$570$	0.466562	−	0.338977i	0.0195421	−	0.0141982i
$571$			2.41894i			0.101229i	0.998718	+	0.0506147i	$0.0161180\pi$
$571$			2.41894i			0.101229i	−0.998718	+	0.0506147i	$0.983882\pi$
$572$	12.9093	+	39.7308i	0.539765	+	1.66123i
$573$	31.1126			1.29975
$574$	−14.4765	−	3.86643i	−0.604238	−	0.161382i
$575$	−13.0848			−0.545672
$576$	28.7743	+	88.5581i	1.19893	+	3.68992i
$577$			24.8846i			1.03596i	0.855392	+	0.517981i	$0.173316\pi$
$577$			24.8846i			1.03596i	−0.855392	+	0.517981i	$0.826684\pi$
$578$	30.8752	−	22.4322i	1.28424	−	0.933055i
$579$	−28.3846	+	20.6226i	−1.17962	+	0.857047i
$580$	−0.943459	+	0.306548i	−0.0391750	+	0.0127287i
$581$	10.1742	+	3.30580i	0.422097	+	0.137148i
$582$	−11.3642	−	8.25656i	−0.471060	−	0.342245i
$583$	1.19292			0.0494055
$584$	46.3743	+	33.6929i	1.91898	+	1.39422i
$585$	1.35989	−	1.87173i	0.0562245	−	0.0773864i
$586$	−25.0613	−	34.4939i	−1.03527	−	1.42493i
$587$	13.8883	−	4.51260i	0.573233	−	0.186255i	−0.00803372	−	0.999968i	$-0.502557\pi$
$587$	13.8883	−	4.51260i	0.573233	−	0.186255i	0.581267	+	0.813713i	$0.302557\pi$
$588$		−	11.3229i		−	0.466949i
$589$	−6.09416	−	8.38789i	−0.251106	−	0.345617i
$590$	0.0495467	−	0.152489i	0.00203980	−	0.00627787i
$591$	30.5105	−	41.9941i	1.25504	−	1.72741i
$592$	1.48296	+	4.56409i	0.0609494	+	0.187583i
$593$	−19.8019	−	6.43402i	−0.813166	−	0.264214i	−0.127228	−	0.991874i	$-0.540608\pi$
$593$	−19.8019	−	6.43402i	−0.813166	−	0.264214i	−0.685938	+	0.727660i	$0.740608\pi$
$594$	23.7107	−	72.9739i	0.972860	−	2.99416i
$595$	0.0141894	−	0.0436706i	0.000581710	−	0.00179032i
$596$	53.1243	+	17.2611i	2.17606	+	0.707043i
$597$	1.78683	+	5.49931i	0.0731302	+	0.225072i
$598$	−19.8265	+	27.2889i	−0.810767	+	1.11592i
$599$	5.27332	−	16.2296i	0.215462	−	0.663124i	−0.783658	−	0.621192i	$-0.786649\pi$
$599$	5.27332	−	16.2296i	0.215462	−	0.663124i	0.999120	−	0.0419320i	$-0.0133513\pi$
$600$	−33.0471	−	45.4855i	−1.34914	−	1.85694i
$601$		−	2.70455i		−	0.110321i	−0.998478	−	0.0551604i	$-0.982433\pi$
$601$		−	2.70455i		−	0.110321i	0.998478	−	0.0551604i	$-0.0175670\pi$
$602$	23.9250	−	7.77369i	0.975109	−	0.316832i
$603$	62.7085	+	86.3109i	2.55369	+	3.51485i
$604$	34.0453	−	46.8594i	1.38528	−	1.90668i
$605$	0.278499	+	0.202341i	0.0113226	+	0.00822634i
$606$	−16.6408			−0.675988
$607$	34.9588	+	25.3990i	1.41893	+	1.03091i	0.991947	+	0.126656i	$0.0404244\pi$
$607$	34.9588	+	25.3990i	1.41893	+	1.03091i	0.426985	+	0.904259i	$0.359576\pi$
$608$	5.55290	+	1.80425i	0.225200	+	0.0731718i
$609$	−16.0093	+	5.20173i	−0.648729	+	0.210785i
$610$	0.943811	−	0.685719i	0.0382138	−	0.0277639i
$611$	−51.0160	+	37.0653i	−2.06389	+	1.49950i
$612$		−	21.9966i		−	0.889161i
$613$	12.6010	+	38.7819i	0.508949	+	1.56639i	0.794028	+	0.607881i	$0.207980\pi$
$613$	12.6010	+	38.7819i	0.508949	+	1.56639i	−0.285079	+	0.958504i	$0.592020\pi$
$614$	−34.2638			−1.38277
$615$	1.07501	−	0.413655i	0.0433485	−	0.0166802i
$616$	−7.54119			−0.303843
$617$	4.88286	+	15.0279i	0.196577	+	0.605000i	0.999955	+	0.00953104i	$0.00303387\pi$
$617$	4.88286	+	15.0279i	0.196577	+	0.605000i	−0.803378	+	0.595469i	$0.796966\pi$
$618$		−	47.6331i		−	1.91608i
$619$	8.64645	−	6.28202i	0.347530	−	0.252496i	−0.400302	−	0.916383i	$-0.631095\pi$
$619$	8.64645	−	6.28202i	0.347530	−	0.252496i	0.747832	+	0.663888i	$0.231095\pi$
$620$	1.17533	−	0.853927i	0.0472024	−	0.0342946i
$621$	37.4019	−	12.1526i	1.50089	−	0.487668i
$622$	−41.0364	−	13.3335i	−1.64541	−	0.534626i
$623$	9.14407	+	6.64356i	0.366349	+	0.266168i
$624$	−20.2781			−0.811776
$625$	−20.1884	−	14.6677i	−0.807537	−	0.586710i
$626$	−38.0269	+	52.3395i	−1.51986	+	2.09191i
$627$	−5.72668	−	7.88209i	−0.228701	−	0.314781i
$628$	−31.2248	+	10.1455i	−1.24600	+	0.404851i
$629$			3.52835i			0.140685i
$630$	0.578103	+	0.795690i	0.0230322	+	0.0317011i
$631$	−3.10279	+	9.54941i	−0.123520	+	0.380156i	−0.993629	−	0.112704i	$-0.964049\pi$
$631$	−3.10279	+	9.54941i	−0.123520	+	0.380156i	0.870108	+	0.492860i	$0.164049\pi$
$632$	−0.0345216	+	0.0475150i	−0.00137320	+	0.00189004i
$633$	1.34413	+	4.13679i	0.0534242	+	0.164423i
$634$	−75.2272	−	24.4428i	−2.98766	−	0.970748i
$635$	0.0832326	−	0.256164i	0.00330299	−	0.0101655i
$636$	−1.91183	+	5.88402i	−0.0758092	+	0.233317i
$637$	−5.23527	−	1.70104i	−0.207429	−	0.0673978i
$638$	8.15853	+	25.1094i	0.322999	+	0.994089i
$639$	16.0744	−	22.1245i	0.635894	−	0.875232i
$640$	−0.343139	+	1.05607i	−0.0135638	+	0.0417450i
$641$	5.50058	+	7.57090i	0.217260	+	0.299033i	0.903711	−	0.428144i	$-0.140832\pi$
$641$	5.50058	+	7.57090i	0.217260	+	0.299033i	−0.686451	+	0.727176i	$0.740832\pi$
$642$			87.7272i			3.46232i
$643$	39.2161	−	12.7421i	1.54653	−	0.502498i	0.593361	−	0.804936i	$-0.297800\pi$
$643$	39.2161	−	12.7421i	1.54653	−	0.502498i	0.953169	+	0.302438i	$0.0978005\pi$
$644$	−5.35017	−	7.36387i	−0.210826	−	0.290177i
$645$	−1.13667	+	1.56449i	−0.0447562	+	0.0616016i
$646$	−2.15653	−	1.56681i	−0.0848476	−	0.0616454i
$647$	7.97582			0.313562			0.156781	−	0.987633i	$-0.449888\pi$
$647$	7.97582			0.313562			0.156781	+	0.987633i	$0.449888\pi$
$648$	72.9058	+	52.9691i	2.86401	+	2.08082i
$649$	−2.57615	−	0.837040i	−0.101123	−	0.0328567i
$650$	−61.2179	+	19.8909i	−2.40116	+	0.780185i
$651$	19.9438	−	14.4900i	0.781660	−	0.567909i
$652$	−39.3655	+	28.6007i	−1.54167	+	1.12009i
$653$			38.8111i			1.51879i	0.650628	+	0.759397i	$0.274506\pi$
$653$			38.8111i			1.51879i	−0.650628	+	0.759397i	$0.725494\pi$
$654$	3.42761	+	10.5491i	0.134030	+	0.412502i
$655$	−0.452323			−0.0176737
$656$	−6.07626	−	3.93899i	−0.237238	−	0.153792i
$657$	−126.298			−4.92737
$658$	−8.28386	−	25.4951i	−0.322938	−	0.993902i
$659$		−	40.1303i		−	1.56325i	−0.623747	−	0.781627i	$-0.714390\pi$
$659$		−	40.1303i		−	1.56325i	0.623747	−	0.781627i	$-0.285610\pi$
$660$	1.10446	−	0.802435i	0.0429909	−	0.0312347i
$661$	13.9398	−	10.1278i	0.542195	−	0.393927i	−0.282705	−	0.959207i	$-0.591232\pi$
$661$	13.9398	−	10.1278i	0.542195	−	0.393927i	0.824899	+	0.565280i	$0.191232\pi$
$662$	32.2415	−	10.4759i	1.25310	−	0.407157i
$663$	−14.1794	−	4.60717i	−0.550683	−	0.178928i
$664$	29.8945	+	21.7197i	1.16013	+	0.842886i
$665$	0.0756567			0.00293384
$666$	−61.1410	−	44.4216i	−2.36917	−	1.72130i
$667$	−7.95380	+	10.9475i	−0.307972	+	0.423888i
$668$	23.7633	+	32.7074i	0.919431	+	1.26549i
$669$	2.35367	−	0.764753i	0.0909981	−	0.0295671i
$670$			1.81158i			0.0699873i
$671$	−11.5845	−	15.9447i	−0.447215	−	0.615539i
$672$	−4.28994	+	13.2031i	−0.165488	+	0.509320i
$673$	−27.4728	+	37.8131i	−1.05900	+	1.45759i	−0.178261	+	0.983983i	$0.557047\pi$
$673$	−27.4728	+	37.8131i	−1.05900	+	1.45759i	−0.880738	+	0.473603i	$0.842953\pi$
$674$	−2.27648	−	7.00627i	−0.0876866	−	0.269872i
$675$	71.3737	+	23.1907i	2.74718	+	0.892612i
$676$	−18.5848	+	57.1980i	−0.714798	+	2.19992i
$677$	−11.4240	+	35.1596i	−0.439062	+	1.35129i	0.449805	+	0.893127i	$0.351494\pi$
$677$	−11.4240	+	35.1596i	−0.439062	+	1.35129i	−0.888866	+	0.458166i	$0.848506\pi$
$678$	−49.4883	−	16.0797i	−1.90059	−	0.617538i
$679$	−0.569454	−	1.75260i	−0.0218536	−	0.0672585i
$680$	0.0932270	−	0.128316i	0.00357509	−	0.00492069i
$681$	−12.2645	+	37.7462i	−0.469976	+	1.44644i
$682$	−22.7266	−	31.2804i	−0.870245	−	1.19779i
$683$		−	19.2431i		−	0.736315i	−0.929763	−	0.368158i	$-0.879989\pi$
$683$		−	19.2431i		−	0.736315i	0.929763	−	0.368158i	$-0.120011\pi$
$684$	34.4689	−	11.1996i	1.31795	−	0.428228i
$685$	0.541905	+	0.745868i	0.0207051	+	0.0284981i
$686$	1.37548	−	1.89318i	0.0525159	−	0.0722820i
$687$	−63.8750	−	46.4079i	−2.43698	−	1.77057i
$688$	12.1573			0.463492
$689$	2.43333	+	1.76791i	0.0927023	+	0.0673522i
$690$	1.04835	+	0.340628i	0.0399098	+	0.0129675i
$691$	10.7949	−	3.50749i	0.410659	−	0.133431i	−0.0963998	−	0.995343i	$-0.530733\pi$
$691$	10.7949	−	3.50749i	0.410659	−	0.133431i	0.507059	+	0.861912i	$0.330733\pi$
$692$	−8.23707	+	5.98458i	−0.313126	+	0.227500i
$693$	13.4424	−	9.76646i	0.510634	−	0.370997i
$694$			15.9004i			0.603571i
$695$	0.0707060	+	0.217611i	0.00268203	+	0.00825444i
$696$	−58.1441			−2.20395
$697$	−3.35387	−	4.13485i	−0.127037	−	0.156619i
$698$	39.5152			1.49567
$699$	−12.4036	−	38.1743i	−0.469147	−	1.44388i
$700$		−	17.3697i		−	0.656514i
$701$	19.6418	−	14.2706i	0.741859	−	0.538992i	−0.151434	−	0.988467i	$-0.548389\pi$
$701$	19.6418	−	14.2706i	0.741859	−	0.538992i	0.893293	+	0.449475i	$0.148389\pi$
$702$	156.514	−	113.714i	5.90722	−	4.29185i
$703$	−5.52895	+	1.79647i	−0.208528	+	0.0677550i
$704$	25.4044	+	8.25439i	0.957465	+	0.311099i
$705$	1.66716	+	1.21126i	0.0627888	+	0.0456187i
$706$	45.1220			1.69819
$707$	−1.76615	−	1.28319i	−0.0664231	−	0.0482592i
$708$	8.25735	−	11.3653i	0.310330	−	0.427133i
$709$	5.31564	+	7.31635i	0.199633	+	0.274771i	0.897083	−	0.441862i	$-0.145682\pi$
$709$	5.31564	+	7.31635i	0.199633	+	0.274771i	−0.697450	+	0.716634i	$0.745682\pi$
$710$	0.441643	−	0.143499i	0.0165746	−	0.00538540i
$711$		−	0.129405i		−	0.00485307i
$712$	22.9478	+	31.5849i	0.860005	+	1.18369i
$713$	6.12384	−	18.8472i	0.229340	−	0.705835i
$714$	3.72540	−	5.12757i	0.139419	−	0.191894i
$715$	−0.205092	−	0.631208i	−0.00767000	−	0.0236058i
$716$	−75.2759	−	24.4586i	−2.81319	−	0.914061i
$717$	19.2033	−	59.1016i	0.717159	−	2.20719i
$718$	2.49253	−	7.67120i	0.0930202	−	0.286287i
$719$	−4.07045	−	1.32257i	−0.151802	−	0.0493235i	0.232130	−	0.972685i	$-0.425430\pi$
$719$	−4.07045	−	1.32257i	−0.151802	−	0.0493235i	−0.383932	+	0.923361i	$0.625430\pi$
$720$	0.146879	+	0.452047i	0.00547386	+	0.0168468i
$721$	3.67302	−	5.05548i	0.136790	−	0.188276i
$722$	−12.3823	+	38.1087i	−0.460821	+	1.41826i
$723$	−31.3488	−	43.1479i	−1.16587	−	1.60469i
$724$		−	65.3772i		−	2.42973i
$725$	−24.5588	+	7.97963i	−0.912090	+	0.296356i
$726$	27.9290	+	38.4409i	1.03654	+	1.42668i
$727$	30.7473	−	42.3200i	1.14035	−	1.56956i	0.373638	−	0.927575i	$-0.378110\pi$
$727$	30.7473	−	42.3200i	1.14035	−	1.56956i	0.766716	−	0.641987i	$-0.221890\pi$
$728$	−15.3826	−	11.1761i	−0.570118	−	0.414215i
$729$	−51.7924			−1.91824
$730$	−1.73502	−	1.26057i	−0.0642160	−	0.0466557i
$731$	8.50093	+	2.76212i	0.314418	+	0.102161i
$732$	97.2129	−	31.5864i	3.59309	−	1.16747i
$733$	−26.9984	+	19.6155i	−0.997210	+	0.724516i	−0.961488	−	0.274846i	$-0.911373\pi$
$733$	−26.9984	+	19.6155i	−0.997210	+	0.724516i	−0.0357222	+	0.999362i	$0.511373\pi$
$734$	12.2512	−	8.90101i	0.452200	−	0.328542i
$735$			0.179888i			0.00663529i
$736$	3.44859	+	10.6137i	0.127117	+	0.391225i
$737$	30.6048			1.12734
$738$	113.876	−	6.06028i	4.19182	−	0.223082i
$739$	23.2845			0.856532			0.428266	−	0.903653i	$-0.359125\pi$
$739$	23.2845			0.856532			0.428266	+	0.903653i	$0.359125\pi$
$740$	−0.251725	−	0.774729i	−0.00925358	−	0.0284796i
$741$		−	24.5650i		−	0.902418i
$742$	−1.03443	+	0.751559i	−0.0379752	+	0.0275906i
$743$	−1.16280	+	0.844826i	−0.0426591	+	0.0309937i	−0.608910	−	0.793239i	$-0.708393\pi$
$743$	−1.16280	+	0.844826i	−0.0426591	+	0.0309937i	0.566251	+	0.824233i	$0.308393\pi$
$744$	80.9836	−	26.3132i	2.96900	−	0.964688i
$745$	−0.843992	−	0.274230i	−0.0309215	−	0.0100470i
$746$	−25.4720	−	18.5065i	−0.932597	−	0.677571i
$747$	−81.4166			−2.97888
$748$	−5.10499	−	3.70899i	−0.186657	−	0.135614i
$749$	−6.76470	+	9.31082i	−0.247177	+	0.340210i
$750$	2.47357	+	3.40457i	0.0903219	+	0.124317i
$751$	12.3834	−	4.02362i	0.451878	−	0.146824i	−0.0742314	−	0.997241i	$-0.523650\pi$
$751$	12.3834	−	4.02362i	0.451878	−	0.146824i	0.526109	+	0.850417i	$0.323650\pi$
$752$		−	12.9551i		−	0.472425i
$753$	−37.9357	−	52.2140i	−1.38245	−	1.90279i
$754$	−20.5705	+	63.3095i	−0.749134	+	2.30560i
$755$	−0.540882	+	0.744460i	−0.0196847	+	0.0270937i
$756$	16.1323	+	49.6503i	0.586728	+	1.80576i
$757$	−25.4645	−	8.27392i	−0.925523	−	0.300721i	−0.192792	−	0.981240i	$-0.561754\pi$
$757$	−25.4645	−	8.27392i	−0.925523	−	0.300721i	−0.732730	+	0.680519i	$0.761754\pi$
$758$	2.47384	−	7.61368i	0.0898538	−	0.276541i
$759$	5.75457	−	17.7107i	0.208878	−	0.642859i
$760$	0.248539	+	0.0807551i	0.00901545	+	0.00292930i
$761$	7.25780	+	22.3372i	0.263095	+	0.809723i	0.992126	+	0.125242i	$0.0399709\pi$
$761$	7.25780	+	22.3372i	0.263095	+	0.809723i	−0.729031	+	0.684480i	$0.760029\pi$
$762$	21.8525	−	30.0774i	0.791632	−	1.08959i
$763$	−0.449663	+	1.38392i	−0.0162789	+	0.0501013i
$764$	19.5152	+	26.8604i	0.706036	+	0.971775i
$765$			0.349463i			0.0126349i
$766$	−62.1958	+	20.2087i	−2.24723	+	0.730168i
$767$	−4.01435	−	5.52529i	−0.144950	−	0.199506i
$768$	−43.2389	+	59.5133i	−1.56025	+	2.14750i
$769$	32.3364	+	23.4938i	1.16608	+	0.847208i	0.990535	−	0.137263i	$-0.0438306\pi$
$769$	32.3364	+	23.4938i	1.16608	+	0.847208i	0.175547	+	0.984471i	$0.443831\pi$
$770$	0.282142			0.0101677
$771$	21.5626	+	15.6661i	0.776557	+	0.564202i
$772$	−35.6082	−	11.5698i	−1.28157	−	0.416406i
$773$	−24.8748	+	8.08231i	−0.894684	+	0.290700i	−0.720041	−	0.693931i	$-0.755877\pi$
$773$	−24.8748	+	8.08231i	−0.894684	+	0.290700i	−0.174643	+	0.984632i	$0.555877\pi$
$774$	−154.889	+	112.534i	−5.56738	+	4.04494i
$775$	30.5945	−	22.2282i	1.09899	−	0.798461i
$776$		−	6.36526i		−	0.228500i
$777$	−4.27144	−	13.1461i	−0.153237	−	0.471615i
$778$	−24.4003			−0.874794
$779$	4.77171	−	7.36081i	0.170964	−	0.263728i
$780$	3.44210			0.123247
$781$	−2.42426	−	7.46111i	−0.0867469	−	0.266979i
$782$		−	5.09500i		−	0.182197i
$783$	62.7885	−	45.6185i	2.24388	−	1.63027i
$784$	0.914920	−	0.664728i	0.0326757	−	0.0237403i
$785$	0.496072	−	0.161184i	0.0177056	−	0.00575289i
$786$	−59.3780	−	19.2931i	−2.11794	−	0.688162i
$787$	33.1058	+	24.0528i	1.18010	+	0.857390i	0.992182	−	0.124796i	$-0.0398276\pi$
$787$	33.1058	+	24.0528i	1.18010	+	0.857390i	0.187913	+	0.982186i	$0.439828\pi$
$788$	55.3923			1.97327
$789$	−12.6062	−	9.15892i	−0.448791	−	0.326066i
$790$	0.00129157	−	0.00177770i	4.59521e−5	−	6.32476e-5i
$791$	−4.01246	−	5.52268i	−0.142667	−	0.196364i
$792$	54.5840	−	17.7354i	1.93956	−	0.630200i
$793$		−	49.6927i		−	1.76464i
$794$	22.2682	+	30.6495i	0.790267	+	1.08771i
$795$	0.0303735	−	0.0934802i	0.00107724	−	0.00331540i
$796$	−3.62693	+	4.99203i	−0.128553	+	0.176938i
$797$	0.470118	+	1.44688i	0.0166525	+	0.0512510i	0.959037	−	0.283279i	$-0.0914223\pi$
$797$	0.470118	+	1.44688i	0.0166525	+	0.0512510i	−0.942385	+	0.334530i	$0.891422\pi$
$798$	9.93173	+	3.22701i	0.351579	+	0.114235i
$799$	2.94339	−	9.05882i	0.104130	−	0.320478i
$800$	−6.58091	+	20.2540i	−0.232670	+	0.716086i
$801$	−81.8101	−	26.5817i	−2.89062	−	0.939219i
$802$	−25.0334	−	77.0450i	−0.883961	−	2.72055i
$803$	−21.2960	+	29.3114i	−0.751519	+	1.03438i
$804$	−49.0489	+	150.957i	−1.72982	+	5.32385i
$805$	0.0849988	+	0.116991i	0.00299581	+	0.00412338i
$806$		−	97.4873i		−	3.43384i
$807$	−56.6038	+	18.3917i	−1.99255	+	0.647418i
$808$	−4.43231	−	6.10055i	−0.155928	−	0.214616i
$809$	−1.44977	+	1.99543i	−0.0509711	+	0.0701557i	−0.833742	−	0.552155i	$-0.813806\pi$
$809$	−1.44977	+	1.99543i	−0.0509711	+	0.0701557i	0.782771	+	0.622310i	$0.213806\pi$
$810$	−2.72766	−	1.98176i	−0.0958400	−	0.0696319i
$811$	−22.8232			−0.801430			−0.400715	−	0.916203i	$-0.631238\pi$
$811$	−22.8232			−0.801430			−0.400715	+	0.916203i	$0.631238\pi$
$812$	−14.5325	−	10.5585i	−0.509992	−	0.370531i
$813$	9.80803	+	3.18682i	0.343983	+	0.111767i
$814$	−20.6188	+	6.69944i	−0.722687	+	0.234815i
$815$	0.625405	−	0.454383i	0.0219070	−	0.0159163i
$816$	2.47801	−	1.80038i	0.0867476	−	0.0630258i
$817$			14.7274i			0.515245i
$818$	13.6880	+	42.1272i	0.478588	+	1.47294i
$819$	41.8940			1.46389
$820$	1.03141	+	0.668622i	0.0360185	+	0.0233493i
$821$	52.1211			1.81904			0.909519	−	0.415662i	$-0.136450\pi$
$821$	52.1211			1.81904			0.909519	+	0.415662i	$0.136450\pi$
$822$	39.3240	+	121.027i	1.37158	+	4.22129i
$823$			13.9819i			0.487377i	0.969854	+	0.243689i	$0.0783575\pi$
$823$			13.9819i			0.487377i	−0.969854	+	0.243689i	$0.921643\pi$
$824$	17.4623	−	12.6871i	0.608329	−	0.441977i
$825$	28.7496	−	20.8878i	1.00093	−	0.727221i
$826$	2.76125	−	0.897183i	0.0960760	−	0.0312170i
$827$	35.6030	+	11.5681i	1.23804	+	0.402263i	0.853620	−	0.520896i	$-0.174402\pi$
$827$	35.6030	+	11.5681i	1.23804	+	0.402263i	0.384419	+	0.923159i	$0.374402\pi$
$828$	56.0435	+	40.7180i	1.94765	+	1.41505i
$829$	−6.62859			−0.230220			−0.115110	−	0.993353i	$-0.536722\pi$
$829$	−6.62859			−0.230220			−0.115110	+	0.993353i	$0.536722\pi$
$830$	−1.11846	−	0.812607i	−0.0388222	−	0.0282060i
$831$	−34.7746	+	47.8631i	−1.20632	+	1.66035i
$832$	39.5872	+	54.4871i	1.37244	+	1.88900i
$833$	0.790780	−	0.256940i	0.0273989	−	0.00890245i
$834$			31.5824i			1.09361i
$835$	−0.377531	−	0.519627i	−0.0130650	−	0.0179824i
$836$	3.21281	−	9.88800i	0.111117	−	0.341984i
$837$	−66.8077	+	91.9530i	−2.30921	+	3.17836i
$838$	2.11352	+	6.50474i	0.0730103	+	0.224703i
$839$	29.6753	+	9.64209i	1.02450	+	0.332882i	0.772615	−	0.634874i	$-0.218948\pi$
$839$	29.6753	+	9.64209i	1.02450	+	0.332882i	0.251889	+	0.967756i	$0.418948\pi$
$840$	−0.192011	+	0.590949i	−0.00662500	+	0.0203897i
$841$	0.709227	−	2.18278i	0.0244561	−	0.0752682i
$842$	−50.7877	−	16.5019i	−1.75026	−	0.568694i
$843$	−22.8910	−	70.4512i	−0.788407	−	2.42647i
$844$	−2.72831	+	3.75520i	−0.0939124	+	0.129259i
$845$	0.295258	−	0.908711i	0.0101572	−	0.0312606i
$846$	119.919	+	165.054i	4.12290	+	5.67468i
$847$			6.23350i			0.214186i
$848$	−0.587681	+	0.190949i	−0.0201811	+	0.00655722i
$849$	9.46833	+	13.0320i	0.324952	+	0.447258i
$850$	5.71489	−	7.86587i	0.196019	−	0.269797i
$851$	−8.98960	−	6.53133i	−0.308159	−	0.223891i
$852$	40.6870			1.39391
$853$	−10.4407	−	7.58560i	−0.357482	−	0.259726i	0.394519	−	0.918888i	$-0.370911\pi$
$853$	−10.4407	−	7.58560i	−0.357482	−	0.259726i	−0.752001	+	0.659162i	$0.770911\pi$
$854$	20.0909	+	6.52794i	0.687498	+	0.223382i
$855$	−0.547612	+	0.177930i	−0.0187279	+	0.00608507i
$856$	−32.1609	+	23.3662i	−1.09924	+	0.798642i
$857$	−10.4005	+	7.55640i	−0.355274	+	0.258122i	−0.751078	−	0.660213i	$-0.770466\pi$
$857$	−10.4005	+	7.55640i	−0.355274	+	0.258122i	0.395804	+	0.918335i	$0.370466\pi$
$858$		−	91.6087i		−	3.12747i
$859$	−4.28877	−	13.1995i	−0.146331	−	0.450360i	0.850849	−	0.525411i	$-0.176088\pi$
$859$	−4.28877	−	13.1995i	−0.146331	−	0.450360i	−0.997180	+	0.0750502i	$0.976088\pi$
$860$	−2.06363			−0.0703692
$861$	17.5017	+	11.3457i	0.596457	+	0.386659i
$862$	−33.5600			−1.14306
$863$	−3.62397	−	11.1534i	−0.123361	−	0.379668i	0.870238	−	0.492632i	$-0.163965\pi$
$863$	−3.62397	−	11.1534i	−0.123361	−	0.379668i	−0.993599	+	0.112965i	$0.963965\pi$
$864$		−	64.0068i		−	2.17755i
$865$	0.130863	−	0.0950778i	0.00444949	−	0.00323274i
$866$	10.0554	−	7.30566i	0.341696	−	0.248256i
$867$	−50.5236	+	16.4161i	−1.71587	+	0.557520i
$868$	25.0193	+	8.12927i	0.849211	+	0.275925i
$869$	−0.0300324	−	0.0218198i	−0.00101878	−	0.000740186i
$870$	2.17537			0.0737519
$871$	62.4280	+	45.3566i	2.11529	+	1.53685i
$872$	−2.95436	+	4.06633i	−0.100047	+	0.137703i
$873$	8.24354	+	11.3463i	0.279001	+	0.384012i
$874$	7.98391	−	2.59413i	0.270060	−	0.0877477i
$875$			0.552079i			0.0186637i
$876$	−110.448	−	152.018i	−3.73168	−	5.13621i
$877$	−10.2321	+	31.4911i	−0.345512	+	1.06338i	0.615796	+	0.787905i	$0.288834\pi$
$877$	−10.2321	+	31.4911i	−0.345512	+	1.06338i	−0.961309	+	0.275473i	$0.911166\pi$
$878$	−10.5145	+	14.4720i	−0.354847	+	0.488405i
$879$	18.3401	+	56.4451i	0.618597	+	1.90385i
$880$	0.129678	+	0.0421348i	0.00437143	+	0.00142036i
$881$	−5.00375	+	15.4000i	−0.168581	+	0.518838i	−0.999282	−	0.0378800i	$-0.987940\pi$
$881$	−5.00375	+	15.4000i	−0.168581	+	0.518838i	0.830702	+	0.556718i	$0.187940\pi$
$882$	−5.50346	+	16.9379i	−0.185311	+	0.570329i
$883$	44.8648	+	14.5775i	1.50982	+	0.490571i	0.942865	−	0.333176i	$-0.108120\pi$
$883$	44.8648	+	14.5775i	1.50982	+	0.490571i	0.566957	+	0.823747i	$0.308120\pi$
$884$	−4.91646	−	15.1313i	−0.165359	−	0.508921i
$885$	−0.131186	+	0.180562i	−0.00440976	+	0.00606951i
$886$	7.08201	−	21.7962i	0.237925	−	0.732257i
$887$	18.5062	+	25.4716i	0.621376	+	0.855251i	0.997452	−	0.0713376i	$-0.0227268\pi$
$887$	18.5062	+	25.4716i	0.621376	+	0.855251i	−0.376076	+	0.926589i	$0.622727\pi$
$888$		−	47.7455i		−	1.60223i
$889$	4.63857	−	1.50716i	0.155573	−	0.0505486i
$890$	−0.858555	−	1.18170i	−0.0287788	−	0.0396107i
$891$	−33.4798	+	46.0810i	−1.12161	+	1.54377i
$892$	2.13656	+	1.55230i	0.0715373	+	0.0519749i
$893$	15.6939			0.525176
$894$	−99.0970	−	71.9982i	−3.31430	−	2.40798i
$895$	1.19592	+	0.388577i	0.0399751	+	0.0129887i
$896$	−19.1232	+	6.21351i	−0.638862	+	0.207579i
$897$	37.9858	−	27.5983i	1.26831	−	0.921480i
$898$	−30.5948	+	22.2284i	−1.02096	+	0.741773i
$899$		−	39.1090i		−	1.30436i
$900$	40.8502	+	125.724i	1.36167	+	4.19080i
$901$	−0.454317			−0.0151355
$902$	17.7948	−	27.4502i	0.592503	−	0.913991i
$903$	−35.0171			−1.16530
$904$	−7.28643	−	22.4253i	−0.242343	−	0.745855i
$905$			1.03866i			0.0345261i
$906$	−102.757	+	74.6575i	−3.41388	+	2.48033i
$907$	−19.6457	+	14.2734i	−0.652325	+	0.473941i	−0.864062	−	0.503385i	$-0.832088\pi$
$907$	−19.6457	+	14.2734i	−0.652325	+	0.473941i	0.211738	+	0.977327i	$0.432088\pi$
$908$	−40.2802	+	13.0878i	−1.33675	+	0.434335i
$909$	15.8014	+	5.13419i	0.524100	+	0.170290i
$910$	0.575517	+	0.418138i	0.0190782	+	0.0138611i
$911$	−36.7202			−1.21659			−0.608297	−	0.793710i	$-0.708147\pi$
$911$	−36.7202			−1.21659			−0.608297	+	0.793710i	$0.708147\pi$
$912$	4.08289	+	2.96639i	0.135198	+	0.0982271i
$913$	−13.7282	+	18.8952i	−0.454336	+	0.625340i
$914$	−16.2031	−	22.3016i	−0.535950	−	0.737672i
$915$	−1.54443	+	0.501817i	−0.0510574	+	0.0165896i
$916$		−	84.2542i		−	2.78384i
$917$	−4.81431	−	6.62633i	−0.158982	−	0.218821i
$918$	−9.03012	+	27.7918i	−0.298038	+	0.917268i
$919$	20.0874	−	27.6479i	0.662622	−	0.912020i	−0.336943	−	0.941525i	$-0.609393\pi$
$919$	20.0874	−	27.6479i	0.662622	−	0.912020i	0.999565	+	0.0295046i	$0.00939298\pi$
$920$	0.154353	+	0.475051i	0.00508888	+	0.0156620i
$921$	45.3605	+	14.7385i	1.49468	+	0.485650i
$922$	1.57191	−	4.83783i	0.0517680	−	0.159325i
$923$	6.11241	−	18.8121i	0.201192	−	0.619207i
$924$	23.5106	+	7.63906i	0.773442	+	0.251307i
$925$	−6.55254	−	20.1666i	−0.215446	−	0.663075i
$926$	12.2887	−	16.9139i	0.403831	−	0.555825i
$927$	−14.6962	+	45.2303i	−0.482687	+	1.48556i
$928$	12.9453	+	17.8177i	0.424951	+	0.584895i
$929$			2.10441i			0.0690436i	0.999404	+	0.0345218i	$0.0109908\pi$
$929$			2.10441i			0.0690436i	−0.999404	+	0.0345218i	$0.989009\pi$
$930$	−3.02988	+	0.984466i	−0.0993535	+	0.0322819i
$931$	0.805254	+	1.10834i	0.0263911	+	0.0363243i
$932$	25.1769	−	34.6530i	0.824696	−	1.13510i
$933$	48.5911	+	35.3035i	1.59080	+	1.15578i
$934$	−69.3573			−2.26944
$935$	0.0811036	+	0.0589252i	0.00265237	+	0.00192706i
$936$	137.625	+	44.7171i	4.49842	+	1.46163i
$937$	21.0788	−	6.84891i	0.688614	−	0.223744i	0.0562513	−	0.998417i	$-0.482085\pi$
$937$	21.0788	−	6.84891i	0.688614	−	0.223744i	0.632363	+	0.774672i	$0.282085\pi$
$938$	−26.5388	+	19.2816i	−0.866522	+	0.629565i
$939$	72.8560	−	52.9330i	2.37757	−	1.72740i
$940$			2.19906i			0.0717255i
$941$	−13.1484	−	40.4668i	−0.428627	−	1.31918i	−0.899478	−	0.436966i	$-0.856053\pi$
$941$	−13.1484	−	40.4668i	−0.428627	−	1.31918i	0.470851	−	0.882213i	$-0.343947\pi$
$942$	71.9962			2.34576
$943$	16.7432	−	0.891046i	0.545234	−	0.0290164i
$944$	1.40310			0.0456671
$945$	−0.256297	−	0.788800i	−0.00833733	−	0.0256597i
$946$			54.9218i			1.78566i
$947$	16.3139	−	11.8527i	0.530129	−	0.385161i	−0.290277	−	0.956943i	$-0.593747\pi$
$947$	16.3139	−	11.8527i	0.530129	−	0.385161i	0.820406	+	0.571781i	$0.193747\pi$
$948$	0.155757	−	0.113164i	0.00505876	−	0.00367540i
$949$	−86.8797	+	28.2289i	−2.82024	+	0.916350i
$950$	15.2356	+	4.95035i	0.494309	+	0.160611i
$951$	89.0763	+	64.7177i	2.88850	+	2.09862i
$952$	2.87203			0.0930832
$953$	−19.4384	−	14.1228i	−0.629671	−	0.457483i	0.226615	−	0.973984i	$-0.427234\pi$
$953$	−19.4384	−	14.1228i	−0.629671	−	0.457483i	−0.856286	+	0.516502i	$0.827234\pi$
$954$	5.71981	−	7.87264i	0.185186	−	0.254886i
$955$	−0.310041	−	0.426734i	−0.0100327	−	0.0138088i
$956$	63.0692	−	20.4924i	2.03980	−	0.662772i
$957$		−	36.7507i		−	1.18798i
$958$	−1.60785	−	2.21301i	−0.0519471	−	0.0714991i
$959$	−5.15886	+	15.8773i	−0.166588	+	0.512706i
$960$	1.29367	−	1.78059i	0.0417532	−	0.0574683i
$961$	8.11929	+	24.9886i	0.261913	+	0.806084i
$962$	−51.9871	−	16.8916i	−1.67613	−	0.544608i
$963$	27.0664	−	83.3019i	0.872204	−	2.68437i
$964$	17.5874	−	54.1286i	0.566453	−	1.74336i
$965$	0.565711	+	0.183811i	0.0182109	+	0.00591708i
$966$	6.16804	+	18.9833i	0.198453	+	0.610777i
$967$	−2.30181	+	3.16817i	−0.0740213	+	0.101882i	−0.844422	−	0.535678i	$-0.820056\pi$
$967$	−2.30181	+	3.16817i	−0.0740213	+	0.101882i	0.770401	+	0.637560i	$0.220056\pi$
$968$	−6.65357	+	20.4776i	−0.213854	+	0.658174i
$969$	2.18098	+	3.00187i	0.0700633	+	0.0964339i
$970$			0.238146i			0.00764642i
$971$	56.7253	−	18.4312i	1.82040	−	0.591484i	0.820602	−	0.571501i	$-0.193639\pi$
$971$	56.7253	−	18.4312i	1.82040	−	0.591484i	0.999800	−	0.0199836i	$-0.00636141\pi$
$972$	−81.5798	−	112.285i	−2.61667	−	3.60154i
$973$	−2.43534	+	3.35195i	−0.0780733	+	0.107459i
$974$	−11.0882	−	8.05606i	−0.355289	−	0.258133i
$975$	89.5999			2.86949
$976$	8.25929	+	6.00073i	0.264374	+	0.192079i
$977$	−1.27268	−	0.413517i	−0.0407165	−	0.0132296i	0.288588	−	0.957453i	$-0.406814\pi$
$977$	−1.27268	−	0.413517i	−0.0407165	−	0.0132296i	−0.329304	+	0.944224i	$0.606814\pi$
$978$	101.480	−	32.9729i	3.24497	−	1.05436i
$979$	−19.9636	+	14.5044i	−0.638040	+	0.463563i
$980$	−0.155303	+	0.112834i	−0.00496096	+	0.00360435i
$981$		−	11.0745i		−	0.353581i
$982$	1.16318	+	3.57989i	0.0371185	+	0.114239i
$983$	−43.0695			−1.37370			−0.686852	−	0.726797i	$-0.741008\pi$
$983$	−43.0695			−1.37370			−0.686852	+	0.726797i	$0.741008\pi$
$984$	45.3844	+	55.9526i	1.44680	+	1.78370i
$985$	−0.880024			−0.0280399
$986$	−3.10715	−	9.56281i	−0.0989517	−	0.304542i
$987$			37.3152i			1.18776i
$988$	21.2077	−	15.4083i	0.674706	−	0.490202i
$989$	−22.7735	+	16.5459i	−0.724154	+	0.526129i
$990$	−2.04217	+	0.663542i	−0.0649045	+	0.0210888i
$991$	33.8187	+	10.9884i	1.07429	+	0.349057i	0.792155	−	0.610319i	$-0.208959\pi$
$991$	33.8187	+	10.9884i	1.07429	+	0.349057i	0.282130	+	0.959376i	$0.408959\pi$
$992$	−26.0938	−	18.9583i	−0.828479	−	0.601925i
$993$	−47.1894			−1.49751
$994$	6.80283	+	4.94254i	0.215773	+	0.156768i
$995$	0.0576214	−	0.0793091i	0.00182672	−	0.00251427i
$996$	−71.1985	−	97.9963i	−2.25601	−	3.10513i
$997$	−9.52138	+	3.09369i	−0.301545	+	0.0979780i	−0.455882	−	0.890040i	$-0.650676\pi$
$997$	−9.52138	+	3.09369i	−0.301545	+	0.0979780i	0.154336	+	0.988018i	$0.450676\pi$
$998$			18.6878i			0.591553i
$999$	37.4600	+	51.5593i	1.18518	+	1.63126i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.n.a.64.3	✓	88
41.25	even	10	inner	287.2.n.a.148.3	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.n.a.64.3	✓	88	1.1	even	1	trivial
287.2.n.a.148.3	yes	88	41.25	even	10	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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.723131 - 2.22557i) q^{2} +3.25739i q^{3} +(-2.81220 + 2.04318i) q^{4} +(0.0446777 - 0.0324603i) q^{5} +(7.24954 - 2.35552i) q^{6} +(0.951057 + 0.309017i) q^{7} +(2.79446 + 2.03029i) q^{8} -7.61060 q^{9} +O(q^{10})\)	\(q+(-0.723131 - 2.22557i) q^{2} +3.25739i q^{3} +(-2.81220 + 2.04318i) q^{4} +(0.0446777 - 0.0324603i) q^{5} +(7.24954 - 2.35552i) q^{6} +(0.951057 + 0.309017i) q^{7} +(2.79446 + 2.03029i) q^{8} -7.61060 q^{9} +(-0.104550 - 0.0759602i) q^{10} +(-1.28327 + 1.76627i) q^{11} +(-6.65544 - 9.16042i) q^{12} +(-5.23527 + 1.70104i) q^{13} -2.34010i q^{14} +(0.105736 + 0.145533i) q^{15} +(0.349468 - 1.07555i) q^{16} +(0.488729 - 0.672678i) q^{17} +(5.50346 + 16.9379i) q^{18} +(1.30293 + 0.423347i) q^{19} +(-0.0593204 + 0.182569i) q^{20} +(-1.00659 + 3.09796i) q^{21} +(4.85893 + 1.57876i) q^{22} +(0.809176 + 2.49039i) q^{23} +(-6.61346 + 9.10265i) q^{24} +(-1.54414 + 4.75238i) q^{25} +(7.57157 + 10.4214i) q^{26} -15.0185i q^{27} +(-3.30594 + 1.07416i) q^{28} +(3.03748 + 4.18074i) q^{29} +(0.247432 - 0.340561i) q^{30} +(-6.12264 - 4.44836i) q^{31} +4.26186 q^{32} +(-5.75344 - 4.18012i) q^{33} +(-1.85050 - 0.601265i) q^{34} +(0.0525218 - 0.0170654i) q^{35} +(21.4025 - 15.5498i) q^{36} +(-3.43305 + 2.49425i) q^{37} -3.20589i q^{38} +(-5.54096 - 17.0533i) q^{39} +0.190754 q^{40} +(1.65225 - 6.18628i) q^{41} +7.62262 q^{42} +(3.32195 + 10.2239i) q^{43} -7.58906i q^{44} +(-0.340024 + 0.247042i) q^{45} +(4.95738 - 3.60175i) q^{46} +(10.8949 - 3.53996i) q^{47} +(3.50350 + 1.13836i) q^{48} +(0.809017 + 0.587785i) q^{49} +11.6934 q^{50} +(2.19118 + 1.59198i) q^{51} +(11.2471 - 15.4803i) q^{52} +(-0.321165 - 0.442046i) q^{53} +(-33.4247 + 10.8604i) q^{54} +0.120568i q^{55} +(2.03029 + 2.79446i) q^{56} +(-1.37901 + 4.24415i) q^{57} +(7.10802 - 9.78335i) q^{58} +(0.383395 + 1.17997i) q^{59} +(-0.594700 - 0.193230i) q^{60} +(-2.78960 + 8.58551i) q^{61} +(-5.47265 + 16.8431i) q^{62} +(-7.23811 - 2.35180i) q^{63} +(-3.78082 - 11.6362i) q^{64} +(-0.178684 + 0.245937i) q^{65} +(-5.14264 + 15.8274i) q^{66} +(-8.23963 - 11.3409i) q^{67} +2.89026i q^{68} +(-8.11217 + 2.63580i) q^{69} +(-0.0759602 - 0.104550i) q^{70} +(-2.11211 + 2.90707i) q^{71} +(-21.2675 - 15.4517i) q^{72} +16.5951 q^{73} +(8.03367 + 5.83680i) q^{74} +(-15.4804 - 5.02988i) q^{75} +(-4.52907 + 1.47158i) q^{76} +(-1.76627 + 1.28327i) q^{77} +(-33.9465 + 24.6636i) q^{78} +0.0170033i q^{79} +(-0.0192993 - 0.0593971i) q^{80} +26.0894 q^{81} +(-14.9628 + 0.796295i) q^{82} +10.6978 q^{83} +(-3.49897 - 10.7687i) q^{84} -0.0459180i q^{85} +(20.3518 - 14.7864i) q^{86} +(-13.6183 + 9.89428i) q^{87} +(-7.17210 + 2.33036i) q^{88} +(10.7495 + 3.49272i) q^{89} +(0.795690 + 0.578103i) q^{90} -5.50469 q^{91} +(-7.36387 - 5.35017i) q^{92} +(14.4900 - 19.9438i) q^{93} +(-15.7568 - 21.6874i) q^{94} +(0.0719538 - 0.0233792i) q^{95} +13.8825i q^{96} +(-1.08317 - 1.49085i) q^{97} +(0.723131 - 2.22557i) q^{98} +(9.76646 - 13.4424i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9}+O(q^{10}) \) 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9	\( 88 q - 24 q^{4} + 8 q^{5} + 10 q^{6} - 18 q^{8} - 116 q^{9} + 36 q^{10} - 10 q^{11} + 20 q^{15} - 12 q^{16} - 10 q^{17} + 20 q^{18} + 30 q^{19} - 30 q^{20} + 4 q^{21} - 20 q^{22} - 12 q^{23} + 60 q^{24} - 50 q^{25} - 30 q^{26} + 2 q^{31} + 24 q^{32} - 46 q^{33} + 50 q^{34} + 86 q^{36} - 48 q^{37} + 16 q^{39} - 60 q^{40} - 24 q^{41} - 4 q^{42} + 22 q^{43} - 16 q^{45} + 20 q^{46} + 20 q^{48} + 22 q^{49} - 16 q^{50} + 8 q^{51} + 70 q^{52} - 30 q^{54} + 8 q^{57} - 90 q^{58} - 4 q^{59} - 50 q^{60} - 64 q^{61} - 44 q^{62} + 14 q^{64} + 80 q^{65} - 26 q^{66} + 10 q^{67} + 40 q^{71} + 18 q^{72} + 124 q^{73} + 80 q^{74} + 70 q^{75} - 190 q^{76} + 8 q^{77} + 74 q^{78} + 26 q^{80} + 144 q^{81} - 58 q^{82} - 60 q^{83} + 26 q^{84} + 10 q^{86} + 8 q^{87} + 160 q^{88} - 164 q^{90} - 40 q^{91} - 156 q^{92} - 20 q^{93} + 10 q^{94} + 80 q^{95} - 90 q^{97} - 40 q^{99}+O(q^{100}) \) 88 * q - 24 * q^4 + 8 * q^5 + 10 * q^6 - 18 * q^8 - 116 * q^9 + 36 * q^10 - 10 * q^11 + 20 * q^15 - 12 * q^16 - 10 * q^17 + 20 * q^18 + 30 * q^19 - 30 * q^20 + 4 * q^21 - 20 * q^22 - 12 * q^23 + 60 * q^24 - 50 * q^25 - 30 * q^26 + 2 * q^31 + 24 * q^32 - 46 * q^33 + 50 * q^34 + 86 * q^36 - 48 * q^37 + 16 * q^39 - 60 * q^40 - 24 * q^41 - 4 * q^42 + 22 * q^43 - 16 * q^45 + 20 * q^46 + 20 * q^48 + 22 * q^49 - 16 * q^50 + 8 * q^51 + 70 * q^52 - 30 * q^54 + 8 * q^57 - 90 * q^58 - 4 * q^59 - 50 * q^60 - 64 * q^61 - 44 * q^62 + 14 * q^64 + 80 * q^65 - 26 * q^66 + 10 * q^67 + 40 * q^71 + 18 * q^72 + 124 * q^73 + 80 * q^74 + 70 * q^75 - 190 * q^76 + 8 * q^77 + 74 * q^78 + 26 * q^80 + 144 * q^81 - 58 * q^82 - 60 * q^83 + 26 * q^84 + 10 * q^86 + 8 * q^87 + 160 * q^88 - 164 * q^90 - 40 * q^91 - 156 * q^92 - 20 * q^93 + 10 * q^94 + 80 * q^95 - 90 * q^97 - 40 * q^99

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