LMFDB - Embedded newform 555.2.bb.a.454.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [555,2,Mod(454,555)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(555, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4]))

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

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

chi := DirichletCharacter("555.454");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 555 = 3 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	555.bb (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.43169731218$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			454.15
Character	$\chi$	$=$	555.454
Dual form			555.2.bb.a.544.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.625647 - 0.361218i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-0.739044 - 1.28006i) q^{4} +(2.23591 - 0.0267130i) q^{5} +0.722435 q^{6} +(4.45380 - 2.57140i) q^{7} +2.51269i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.625647 - 0.361218i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-0.739044 - 1.28006i) q^{4} +(2.23591 - 0.0267130i) q^{5} +0.722435 q^{6} +(4.45380 - 2.57140i) q^{7} +2.51269i q^{8} +(0.500000 - 0.866025i) q^{9} +(-1.40854 - 0.790937i) q^{10} -2.96573 q^{11} +(1.28006 + 0.739044i) q^{12} +(0.740315 - 0.427421i) q^{13} -3.71535 q^{14} +(-1.92300 + 1.14109i) q^{15} +(-0.570459 + 0.988063i) q^{16} +(3.10698 + 1.79382i) q^{17} +(-0.625647 + 0.361218i) q^{18} +(-0.271156 - 0.469656i) q^{19} +(-1.68663 - 2.84236i) q^{20} +(-2.57140 + 4.45380i) q^{21} +(1.85550 + 1.07127i) q^{22} -0.860468i q^{23} +(-1.25635 - 2.17606i) q^{24} +(4.99857 - 0.119456i) q^{25} -0.617568 q^{26} +1.00000i q^{27} +(-6.58311 - 3.80076i) q^{28} -0.118396 q^{29} +(1.61530 - 0.0192984i) q^{30} +1.30953 q^{31} +(5.06592 - 2.92481i) q^{32} +(2.56840 - 1.48287i) q^{33} +(-1.29592 - 2.24459i) q^{34} +(9.88961 - 5.86840i) q^{35} -1.47809 q^{36} +(-4.30952 - 4.29279i) q^{37} +0.391786i q^{38} +(-0.427421 + 0.740315i) q^{39} +(0.0671216 + 5.61815i) q^{40} +(-1.57037 - 2.71997i) q^{41} +(3.21758 - 1.85767i) q^{42} -11.2377i q^{43} +(2.19181 + 3.79632i) q^{44} +(1.09482 - 1.94971i) q^{45} +(-0.310816 + 0.538349i) q^{46} -5.14229i q^{47} -1.14092i q^{48} +(9.72425 - 16.8429i) q^{49} +(-3.17049 - 1.73084i) q^{50} -3.58763 q^{51} +(-1.09425 - 0.631766i) q^{52} +(5.56237 + 3.21143i) q^{53} +(0.361218 - 0.625647i) q^{54} +(-6.63111 + 0.0792236i) q^{55} +(6.46115 + 11.1910i) q^{56} +(0.469656 + 0.271156i) q^{57} +(0.0740744 + 0.0427669i) q^{58} +(-2.33425 + 4.04304i) q^{59} +(2.88184 + 1.61824i) q^{60} +(2.75922 + 4.77910i) q^{61} +(-0.819307 - 0.473027i) q^{62} -5.14281i q^{63} -1.94414 q^{64} +(1.64386 - 0.975451i) q^{65} -2.14255 q^{66} +(-4.73891 + 2.73601i) q^{67} -5.30283i q^{68} +(0.430234 + 0.745187i) q^{69} +(-8.30717 + 0.0992481i) q^{70} +(2.08794 + 3.61641i) q^{71} +(2.17606 + 1.25635i) q^{72} +13.3738i q^{73} +(1.14561 + 4.24245i) q^{74} +(-4.26916 + 2.60274i) q^{75} +(-0.400793 + 0.694193i) q^{76} +(-13.2088 + 7.62610i) q^{77} +(0.534830 - 0.308784i) q^{78} +(-6.70125 - 11.6069i) q^{79} +(-1.24910 + 2.22446i) q^{80} +(-0.500000 - 0.866025i) q^{81} +2.26899i q^{82} +(13.6037 + 7.85409i) q^{83} +7.60152 q^{84} +(6.99484 + 3.92781i) q^{85} +(-4.05926 + 7.03085i) q^{86} +(0.102534 - 0.0591982i) q^{87} -7.45198i q^{88} +(-3.47723 + 6.02274i) q^{89} +(-1.38924 + 0.824362i) q^{90} +(2.19815 - 3.80730i) q^{91} +(-1.10145 + 0.635923i) q^{92} +(-1.13409 + 0.654767i) q^{93} +(-1.85749 + 3.21726i) q^{94} +(-0.618827 - 1.04287i) q^{95} +(-2.92481 + 5.06592i) q^{96} +7.00954i q^{97} +(-12.1679 + 7.02514i) q^{98} +(-1.48287 + 2.56840i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q + 32 q^{4} - 2 q^{5} + 36 q^{9}+O(q^{10}) $ 72 * q + 32 * q^4 - 2 * q^5 + 36 * q^9	$ 72 q + 32 q^{4} - 2 q^{5} + 36 q^{9} - 8 q^{11} - 16 q^{14} - 24 q^{16} + 4 q^{19} + 4 q^{20} + 12 q^{21} + 10 q^{25} + 24 q^{26} + 16 q^{29} + 12 q^{30} + 24 q^{31} - 44 q^{34} - 2 q^{35} + 64 q^{36} - 8 q^{39} + 46 q^{40} - 48 q^{41} - 8 q^{44} - 4 q^{45} - 64 q^{46} + 32 q^{49} - 46 q^{50} - 8 q^{51} - 12 q^{55} - 72 q^{56} + 32 q^{59} - 68 q^{60} - 8 q^{61} - 136 q^{64} - 42 q^{65} - 32 q^{66} - 4 q^{69} + 4 q^{70} + 12 q^{71} - 96 q^{74} - 8 q^{75} + 8 q^{76} - 8 q^{79} - 44 q^{80} - 36 q^{81} + 136 q^{84} + 4 q^{85} + 8 q^{86} + 8 q^{91} - 28 q^{94} + 18 q^{95} - 20 q^{96} - 4 q^{99}+O(q^{100}) $ 72 * q + 32 * q^4 - 2 * q^5 + 36 * q^9 - 8 * q^11 - 16 * q^14 - 24 * q^16 + 4 * q^19 + 4 * q^20 + 12 * q^21 + 10 * q^25 + 24 * q^26 + 16 * q^29 + 12 * q^30 + 24 * q^31 - 44 * q^34 - 2 * q^35 + 64 * q^36 - 8 * q^39 + 46 * q^40 - 48 * q^41 - 8 * q^44 - 4 * q^45 - 64 * q^46 + 32 * q^49 - 46 * q^50 - 8 * q^51 - 12 * q^55 - 72 * q^56 + 32 * q^59 - 68 * q^60 - 8 * q^61 - 136 * q^64 - 42 * q^65 - 32 * q^66 - 4 * q^69 + 4 * q^70 + 12 * q^71 - 96 * q^74 - 8 * q^75 + 8 * q^76 - 8 * q^79 - 44 * q^80 - 36 * q^81 + 136 * q^84 + 4 * q^85 + 8 * q^86 + 8 * q^91 - 28 * q^94 + 18 * q^95 - 20 * q^96 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/555\mathbb{Z}\right)^\times$.

$n$	$76$	$112$	$371$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$1$

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 $

$2$	−0.625647	−	0.361218i	−0.442399	−	0.255419i	0.262215	−	0.965009i	$-0.415547\pi$
$2$	−0.625647	−	0.361218i	−0.442399	−	0.255419i	−0.704615	+	0.709590i	$0.748880\pi$
$3$	−0.866025	+	0.500000i	−0.500000	+	0.288675i
$3$	−0.866025	+	0.500000i	−0.500000	+	0.288675i
$4$	−0.739044	−	1.28006i	−0.369522	−	0.640031i
$5$	2.23591	−	0.0267130i	0.999929	−	0.0119464i
$5$	2.23591	−	0.0267130i	0.999929	−	0.0119464i
$6$	0.722435			0.294933
$7$	4.45380	−	2.57140i	1.68338	−	0.971900i	0.723992	−	0.689808i	$-0.242305\pi$
$7$	4.45380	−	2.57140i	1.68338	−	0.971900i	0.959388	−	0.282092i	$-0.0910282\pi$
$8$			2.51269i			0.888371i
$9$	0.500000	−	0.866025i	0.166667	−	0.288675i
$10$	−1.40854	−	0.790937i	−0.445419	−	0.250116i
$11$	−2.96573			−0.894202			−0.447101	−	0.894483i	$-0.647544\pi$
$11$	−2.96573			−0.894202			−0.447101	+	0.894483i	$0.647544\pi$
$12$	1.28006	+	0.739044i	0.369522	+	0.213344i
$13$	0.740315	−	0.427421i	0.205326	−	0.118545i	−0.393811	−	0.919191i	$-0.628844\pi$
$13$	0.740315	−	0.427421i	0.205326	−	0.118545i	0.599138	+	0.800646i	$0.295510\pi$
$14$	−3.71535			−0.992968
$15$	−1.92300	+	1.14109i	−0.496516	+	0.294628i
$16$	−0.570459	+	0.988063i	−0.142615	+	0.247016i
$17$	3.10698	+	1.79382i	0.753553	+	0.435064i	0.826976	−	0.562237i	$-0.190059\pi$
$17$	3.10698	+	1.79382i	0.753553	+	0.435064i	−0.0734231	+	0.997301i	$0.523392\pi$
$18$	−0.625647	+	0.361218i	−0.147466	+	0.0851398i
$19$	−0.271156	−	0.469656i	−0.0622075	−	0.107747i	0.833244	−	0.552905i	$-0.186481\pi$
$19$	−0.271156	−	0.469656i	−0.0622075	−	0.107747i	−0.895452	+	0.445158i	$0.853147\pi$
$20$	−1.68663	−	2.84236i	−0.377142	−	0.635571i
$21$	−2.57140	+	4.45380i	−0.561127	+	0.971900i
$22$	1.85550	+	1.07127i	0.395594	+	0.228397i
$23$		−	0.860468i		−	0.179420i	−0.995968	−	0.0897099i	$-0.971406\pi$
$23$		−	0.860468i		−	0.179420i	0.995968	−	0.0897099i	$-0.0285940\pi$
$24$	−1.25635	−	2.17606i	−0.256451	−	0.444186i
$25$	4.99857	−	0.119456i	0.999715	−	0.0238911i
$26$	−0.617568			−0.121115
$27$			1.00000i			0.192450i
$28$	−6.58311	−	3.80076i	−1.24409	−	0.718276i
$29$	−0.118396			−0.0219857			−0.0109928	−	0.999940i	$-0.503499\pi$
$29$	−0.118396			−0.0219857			−0.0109928	+	0.999940i	$0.503499\pi$
$30$	1.61530	−	0.0192984i	0.294912	−	0.00352339i
$31$	1.30953			0.235199			0.117600	−	0.993061i	$-0.462480\pi$
$31$	1.30953			0.235199			0.117600	+	0.993061i	$0.462480\pi$
$32$	5.06592	−	2.92481i	0.895537	−	0.517039i
$33$	2.56840	−	1.48287i	0.447101	−	0.258134i
$34$	−1.29592	−	2.24459i	−0.222248	−	0.384944i
$35$	9.88961	−	5.86840i	1.67165	−	0.991941i
$36$	−1.47809			−0.246348
$37$	−4.30952	−	4.29279i	−0.708481	−	0.705730i
$37$	−4.30952	−	4.29279i	−0.708481	−	0.705730i
$38$			0.391786i			0.0635560i
$39$	−0.427421	+	0.740315i	−0.0684422	+	0.118545i
$40$	0.0671216	+	5.61815i	0.0106128	+	0.888308i
$41$	−1.57037	−	2.71997i	−0.245251	−	0.424787i	0.716951	−	0.697124i	$-0.245537\pi$
$41$	−1.57037	−	2.71997i	−0.245251	−	0.424787i	−0.962202	+	0.272336i	$0.912204\pi$
$42$	3.21758	−	1.85767i	0.496484	−	0.286645i
$43$		−	11.2377i		−	1.71374i	−0.515535	−	0.856868i	$-0.672407\pi$
$43$		−	11.2377i		−	1.71374i	0.515535	−	0.856868i	$-0.327593\pi$
$44$	2.19181	+	3.79632i	0.330427	+	0.572317i
$45$	1.09482	−	1.94971i	0.163206	−	0.290646i
$46$	−0.310816	+	0.538349i	−0.0458273	+	0.0793753i
$47$		−	5.14229i		−	0.750081i	−0.927008	−	0.375040i	$-0.877629\pi$
$47$		−	5.14229i		−	0.750081i	0.927008	−	0.375040i	$-0.122371\pi$
$48$		−	1.14092i		−	0.164677i
$49$	9.72425	−	16.8429i	1.38918	−	2.40613i
$50$	−3.17049	−	1.73084i	−0.448375	−	0.244777i
$51$	−3.58763			−0.502369
$52$	−1.09425	−	0.631766i	−0.151745	−	0.0876102i
$53$	5.56237	+	3.21143i	0.764050	+	0.441124i	0.830748	−	0.556649i	$-0.187913\pi$
$53$	5.56237	+	3.21143i	0.764050	+	0.441124i	−0.0666980	+	0.997773i	$0.521246\pi$
$54$	0.361218	−	0.625647i	0.0491555	−	0.0851398i
$55$	−6.63111	+	0.0792236i	−0.894138	+	0.0106825i
$56$	6.46115	+	11.1910i	0.863408	+	1.49547i
$57$	0.469656	+	0.271156i	0.0622075	+	0.0359155i
$58$	0.0740744	+	0.0427669i	0.00972645	+	0.00561557i
$59$	−2.33425	+	4.04304i	−0.303893	+	0.526359i	−0.977014	−	0.213174i	$-0.931620\pi$
$59$	−2.33425	+	4.04304i	−0.303893	+	0.526359i	0.673121	+	0.739532i	$0.264953\pi$
$60$	2.88184	+	1.61824i	0.372044	+	0.208914i
$61$	2.75922	+	4.77910i	0.353281	+	0.611901i	0.986822	−	0.161808i	$-0.0517325\pi$
$61$	2.75922	+	4.77910i	0.353281	+	0.611901i	−0.633541	+	0.773709i	$0.718399\pi$
$62$	−0.819307	−	0.473027i	−0.104052	−	0.0600745i
$63$		−	5.14281i		−	0.647933i
$64$	−1.94414			−0.243017
$65$	1.64386	−	0.975451i	0.203896	−	0.120990i
$66$	−2.14255			−0.263730
$67$	−4.73891	+	2.73601i	−0.578950	+	0.334257i	−0.760716	−	0.649085i	$-0.775152\pi$
$67$	−4.73891	+	2.73601i	−0.578950	+	0.334257i	0.181766	+	0.983342i	$0.441819\pi$
$68$		−	5.30283i		−	0.643063i
$69$	0.430234	+	0.745187i	0.0517941	+	0.0897099i
$70$	−8.30717	+	0.0992481i	−0.992897	+	0.0118624i
$71$	2.08794	+	3.61641i	0.247793	+	0.429189i	0.962913	−	0.269812i	$-0.0869615\pi$
$71$	2.08794	+	3.61641i	0.247793	+	0.429189i	−0.715120	+	0.699001i	$0.753628\pi$
$72$	2.17606	+	1.25635i	0.256451	+	0.148062i
$73$			13.3738i			1.56529i	0.622469	+	0.782644i	$0.286130\pi$
$73$			13.3738i			1.56529i	−0.622469	+	0.782644i	$0.713870\pi$
$74$	1.14561	+	4.24245i	0.133174	+	0.493174i
$75$	−4.26916	+	2.60274i	−0.492961	+	0.300538i
$76$	−0.400793	+	0.694193i	−0.0459741	+	0.0796294i
$77$	−13.2088	+	7.62610i	−1.50528	+	0.869075i
$78$	0.534830	−	0.308784i	0.0605575	−	0.0349629i
$79$	−6.70125	−	11.6069i	−0.753949	−	1.30588i	−0.945895	−	0.324473i	$-0.894813\pi$
$79$	−6.70125	−	11.6069i	−0.753949	−	1.30588i	0.191946	−	0.981405i	$-0.438520\pi$
$80$	−1.24910	+	2.22446i	−0.139654	+	0.248702i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$			2.26899i			0.250568i
$83$	13.6037	+	7.85409i	1.49320	+	0.862098i	0.999970	−	0.00780162i	$-0.00248336\pi$
$83$	13.6037	+	7.85409i	1.49320	+	0.862098i	0.493228	+	0.869900i	$0.335817\pi$
$84$	7.60152			0.829394
$85$	6.99484	+	3.92781i	0.758697	+	0.426031i
$86$	−4.05926	+	7.03085i	−0.437722	+	0.758156i
$87$	0.102534	−	0.0591982i	0.0109928	−	0.00634672i
$88$		−	7.45198i		−	0.794383i
$89$	−3.47723	+	6.02274i	−0.368586	+	0.638409i	−0.989345	−	0.145592i	$-0.953491\pi$
$89$	−3.47723	+	6.02274i	−0.368586	+	0.638409i	0.620759	+	0.784001i	$0.286824\pi$
$90$	−1.38924	+	0.824362i	−0.146439	+	0.0868954i
$91$	2.19815	−	3.80730i	0.230428	−	0.399113i
$92$	−1.10145	+	0.635923i	−0.114834	+	0.0662996i
$93$	−1.13409	+	0.654767i	−0.117600	+	0.0678962i
$94$	−1.85749	+	3.21726i	−0.191585	+	0.331835i
$95$	−0.618827	−	1.04287i	−0.0634903	−	0.106996i
$96$	−2.92481	+	5.06592i	−0.298512	+	0.517039i
$97$			7.00954i			0.711711i	0.934541	+	0.355855i	$0.115810\pi$
$97$			7.00954i			0.711711i	−0.934541	+	0.355855i	$0.884190\pi$
$98$	−12.1679	+	7.02514i	−1.22914	+	0.709646i
$99$	−1.48287	+	2.56840i	−0.149034	+	0.258134i
$100$	−3.84707	−	6.31020i	−0.384707	−	0.631020i
$101$	−11.6050			−1.15474			−0.577370	−	0.816483i	$-0.695921\pi$
$101$	−11.6050			−1.15474			−0.577370	+	0.816483i	$0.695921\pi$
$102$	2.24459	+	1.29592i	0.222248	+	0.128315i
$103$		−	12.6513i		−	1.24657i	−0.781996	−	0.623283i	$-0.785798\pi$
$103$		−	12.6513i		−	1.24657i	0.781996	−	0.623283i	$-0.214202\pi$
$104$	1.07398	+	1.86018i	0.105312	+	0.182406i
$105$	−5.63045	+	10.0270i	−0.549476	+	0.978534i
$106$	−2.32005	−	4.01845i	−0.225343	−	0.390306i
$107$	−13.6798	+	7.89805i	−1.32248	+	0.763533i	−0.984123	−	0.177486i	$-0.943204\pi$
$107$	−13.6798	+	7.89805i	−1.32248	+	0.763533i	−0.338355	+	0.941019i	$0.609870\pi$
$108$	1.28006	−	0.739044i	0.123174	−	0.0711145i
$109$	3.77474	−	6.53805i	0.361555	−	0.626231i	−0.626662	−	0.779291i	$-0.715579\pi$
$109$	3.77474	−	6.53805i	0.361555	−	0.626231i	0.988217	+	0.153060i	$0.0489127\pi$
$110$	4.17735	+	2.34571i	0.398295	+	0.223654i
$111$	5.87855	+	1.56290i	0.557967	+	0.148344i
$112$			5.86752i			0.554429i
$113$	4.40347	+	2.54235i	0.414244	+	0.239164i	0.692612	−	0.721311i	$-0.256460\pi$
$113$	4.40347	+	2.54235i	0.414244	+	0.239164i	−0.278368	+	0.960475i	$0.589793\pi$
$114$	−0.195893	−	0.339296i	−0.0183470	−	0.0317780i
$115$	−0.0229857	−	1.92393i	−0.00214342	−	0.179407i
$116$	0.0875002	+	0.151555i	0.00812419	+	0.0140715i
$117$		−	0.854842i		−	0.0790302i
$118$	2.92083	−	1.68634i	0.268884	−	0.155240i
$119$	18.4505			1.69135
$120$	−2.86720	−	4.83190i	−0.261739	−	0.441090i
$121$	−2.20443			−0.200403
$122$		−	3.98671i		−	0.360940i
$123$	2.71997	+	1.57037i	0.245251	+	0.141596i
$124$	−0.967803	−	1.67628i	−0.0869113	−	0.150535i
$125$	11.1732	−	0.400619i	0.999358	−	0.0358324i
$126$	−1.85767	+	3.21758i	−0.165495	+	0.286645i
$127$	−0.206724	−	0.119352i	−0.0183438	−	0.0105908i	0.490800	−	0.871272i	$-0.336705\pi$
$127$	−0.206724	−	0.119352i	−0.0183438	−	0.0105908i	−0.509144	+	0.860681i	$0.670038\pi$
$128$	−8.91550	−	5.14737i	−0.788026	−	0.454967i
$129$	5.61886	+	9.73215i	0.494713	+	0.856868i
$130$	−1.38083	+	0.0164971i	−0.121106	+	0.00144689i
$131$	−6.48352	+	11.2298i	−0.566468	+	0.981151i	0.430444	+	0.902617i	$0.358357\pi$
$131$	−6.48352	+	11.2298i	−0.566468	+	0.981151i	−0.996911	+	0.0785334i	$0.974976\pi$
$132$	−3.79632	−	2.19181i	−0.330427	−	0.190772i
$133$	−2.41535	−	1.39451i	−0.209438	−	0.120919i
$134$	3.95318			0.341503
$135$	0.0267130	+	2.23591i	0.00229909	+	0.192436i
$136$	−4.50731	+	7.80688i	−0.386498	+	0.669435i
$137$		−	21.7294i		−	1.85647i	−0.371994	−	0.928235i	$-0.621326\pi$
$137$		−	21.7294i		−	1.85647i	0.371994	−	0.928235i	$-0.378674\pi$
$138$		−	0.621632i		−	0.0529168i
$139$	−2.19951	+	3.80967i	−0.186560	+	0.323132i	−0.944101	−	0.329656i	$-0.893067\pi$
$139$	−2.19951	+	3.80967i	−0.186560	+	0.323132i	0.757541	+	0.652788i	$0.226401\pi$
$140$	−14.8208	−	8.32230i	−1.25258	−	0.703363i
$141$	2.57115	+	4.45336i	0.216530	+	0.375040i
$142$		−	3.01680i		−	0.253164i
$143$	−2.19558	+	1.26762i	−0.183603	+	0.106003i
$144$	0.570459	+	0.988063i	0.0475382	+	0.0823386i
$145$	−0.264724	+	0.00316272i	−0.0219841	+	0.000262650i
$146$	4.83086	−	8.36730i	0.399805	−	0.692483i
$147$			19.4485i			1.60408i
$148$	−2.31011	+	8.68901i	−0.189890	+	0.714232i
$149$	−12.4082			−1.01652			−0.508260	−	0.861204i	$-0.669711\pi$
$149$	−12.4082			−1.01652			−0.508260	+	0.861204i	$0.669711\pi$
$150$	3.61114	−	0.0862990i	0.294849	−	0.00704628i
$151$	10.0467	+	17.4014i	0.817588	+	1.41610i	0.907455	+	0.420150i	$0.138022\pi$
$151$	10.0467	+	17.4014i	0.817588	+	1.41610i	−0.0898669	+	0.995954i	$0.528644\pi$
$152$	1.18010	−	0.681332i	0.0957189	−	0.0552634i
$153$	3.10698	−	1.79382i	0.251184	−	0.145021i
$154$	11.0187			0.887914
$155$	2.92800	−	0.0349816i	0.235183	−	0.00280979i
$156$	1.26353			0.101163
$157$	12.2424	+	7.06813i	0.977046	+	0.564098i	0.901377	−	0.433035i	$-0.142557\pi$
$157$	12.2424	+	7.06813i	0.977046	+	0.564098i	0.0756691	+	0.997133i	$0.475891\pi$
$158$			9.68243i			0.770293i
$159$	−6.42287			−0.509367
$160$	11.2488	−	6.67494i	0.889296	−	0.527700i
$161$	−2.21261	−	3.83235i	−0.174378	−	0.302032i
$162$			0.722435i			0.0567599i
$163$	−13.0343	−	7.52537i	−1.02093	−	0.589433i	−0.106555	−	0.994307i	$-0.533982\pi$
$163$	−13.0343	−	7.52537i	−1.02093	−	0.589433i	−0.914372	+	0.404874i	$0.867315\pi$
$164$	−2.32115	+	4.02035i	−0.181251	+	0.313937i
$165$	5.70310	−	3.38416i	0.443985	−	0.263457i
$166$	−5.67407	−	9.82778i	−0.440393	−	0.762783i
$167$	10.1874	−	5.88170i	0.788324	−	0.455139i	−0.0510479	−	0.998696i	$-0.516256\pi$
$167$	10.1874	−	5.88170i	0.788324	−	0.455139i	0.839372	+	0.543557i	$0.182923\pi$
$168$	−11.1910	−	6.46115i	−0.863408	−	0.498489i
$169$	−6.13462	+	10.6255i	−0.471894	+	0.817344i
$170$	−2.95751	−	4.98408i	−0.226830	−	0.382262i
$171$	−0.542313			−0.0414717
$172$	−14.3850	+	8.30517i	−1.09684	+	0.633263i
$173$	11.9767	+	6.91473i	0.910569	+	0.525717i	0.880614	−	0.473834i	$-0.157130\pi$
$173$	11.9767	+	6.91473i	0.910569	+	0.525717i	0.0299551	+	0.999551i	$0.490464\pi$
$174$	−0.0855338			−0.00648430
$175$	21.9555	−	13.3854i	1.65968	−	1.01184i
$176$	1.69183	−	2.93033i	0.127526	−	0.220882i
$177$		−	4.66850i		−	0.350906i
$178$	4.35104	−	2.51207i	0.326124	−	0.188288i
$179$	−7.03349			−0.525708			−0.262854	−	0.964836i	$-0.584664\pi$
$179$	−7.03349			−0.525708			−0.262854	+	0.964836i	$0.584664\pi$
$180$	−3.30487	+	0.0394841i	−0.246330	+	0.00294297i
$181$	7.91414	+	13.7077i	0.588253	+	1.01888i	0.994461	+	0.105104i	$0.0335176\pi$
$181$	7.91414	+	13.7077i	0.588253	+	1.01888i	−0.406208	+	0.913781i	$0.633149\pi$
$182$	−2.75053	+	1.58802i	−0.203883	+	0.117712i
$183$	−4.77910	−	2.75922i	−0.353281	−	0.203967i
$184$	2.16209			0.159391
$185$	−9.75037	−	9.48316i	−0.716861	−	0.697216i
$186$	0.946054			0.0693680
$187$	−9.21447	−	5.31998i	−0.673829	−	0.389035i
$188$	−6.58245	+	3.80038i	−0.480075	+	0.277171i
$189$	2.57140	+	4.45380i	0.187042	+	0.323967i
$190$	0.0104658	+	0.875997i	0.000759267	+	0.0635515i
$191$	5.68920			0.411656			0.205828	−	0.978588i	$-0.434011\pi$
$191$	5.68920			0.411656			0.205828	+	0.978588i	$0.434011\pi$
$192$	1.68367	−	0.972070i	0.121509	−	0.0701531i
$193$			21.7138i			1.56300i	0.623908	+	0.781498i	$0.285544\pi$
$193$			21.7138i			1.56300i	−0.623908	+	0.781498i	$0.714456\pi$
$194$	2.53197	−	4.38550i	0.181785	−	0.314860i
$195$	−0.935898	+	1.66669i	−0.0670211	+	0.119354i
$196$	−28.7466			−2.05333
$197$	13.9339	+	8.04473i	0.992748	+	0.573163i	0.906095	−	0.423075i	$-0.139049\pi$
$197$	13.9339	+	8.04473i	0.992748	+	0.573163i	0.0866533	+	0.996239i	$0.472383\pi$
$198$	1.85550	−	1.07127i	0.131865	−	0.0761322i
$199$	−2.64026			−0.187163			−0.0935817	−	0.995612i	$-0.529832\pi$
$199$	−2.64026			−0.187163			−0.0935817	+	0.995612i	$0.529832\pi$
$200$	0.300155	+	12.5599i	0.0212242	+	0.888117i
$201$	2.73601	−	4.73891i	0.192983	−	0.334257i
$202$	7.26063	+	4.19193i	0.510856	+	0.294943i
$203$	−0.527315	+	0.304445i	−0.0370102	+	0.0213679i
$204$	2.65142	+	4.59239i	0.185636	+	0.321531i
$205$	−3.58387	−	6.03965i	−0.250308	−	0.421827i
$206$	−4.56986	+	7.91523i	−0.318397	+	0.551480i
$207$	−0.745187	−	0.430234i	−0.0517941	−	0.0299033i
$208$			0.975304i			0.0676252i
$209$	0.804177	+	1.39288i	0.0556261	+	0.0963472i
$210$	7.14460	−	4.23954i	0.493024	−	0.292556i
$211$	7.76243			0.534388			0.267194	−	0.963643i	$-0.413904\pi$
$211$	7.76243			0.534388			0.267194	+	0.963643i	$0.413904\pi$
$212$		−	9.49356i		−	0.652020i
$213$	−3.61641	−	2.08794i	−0.247793	−	0.143063i
$214$	11.4117			0.780085
$215$	−0.300193	−	25.1265i	−0.0204730	−	1.71361i
$216$	−2.51269			−0.170967
$217$	5.83241	−	3.36734i	0.395930	−	0.228590i
$218$	−4.72331	+	2.72701i	−0.319903	+	0.184696i
$219$	−6.68691	−	11.5821i	−0.451860	−	0.782644i
$220$	5.00209	+	8.42967i	0.337241	+	0.568328i
$221$	3.06686			0.206299
$222$	−3.11335	−	3.10126i	−0.208954	−	0.208143i
$223$			3.32169i			0.222437i	0.993796	+	0.111219i	$0.0354753\pi$
$223$			3.32169i			0.222437i	−0.993796	+	0.111219i	$0.964525\pi$
$224$	15.0418	−	26.0531i	1.00502	−	1.74074i
$225$	2.39583	−	4.38862i	0.159722	−	0.292575i
$226$	−1.83668	−	3.18122i	−0.122174	−	0.211612i
$227$	−6.73308	+	3.88735i	−0.446890	+	0.258012i	−0.706516	−	0.707697i	$-0.749734\pi$
$227$	−6.73308	+	3.88735i	−0.446890	+	0.258012i	0.259626	+	0.965709i	$0.416401\pi$
$228$		−	0.801585i		−	0.0530863i
$229$	9.60026	+	16.6281i	0.634403	+	1.09882i	0.986641	+	0.162908i	$0.0520874\pi$
$229$	9.60026	+	16.6281i	0.634403	+	1.09882i	−0.352238	+	0.935910i	$0.614579\pi$
$230$	−0.680575	+	1.21200i	−0.0448758	+	0.0799171i
$231$	7.62610	−	13.2088i	0.501761	−	0.869075i
$232$		−	0.297494i		−	0.0195314i
$233$			11.2268i			0.735491i	0.929927	+	0.367745i	$0.119870\pi$
$233$			11.2268i			0.735491i	−0.929927	+	0.367745i	$0.880130\pi$
$234$	−0.308784	+	0.534830i	−0.0201858	+	0.0349629i
$235$	−0.137366	−	11.4977i	−0.00896078	−	0.750027i
$236$	6.90045			0.449181
$237$	11.6069	+	6.70125i	0.753949	+	0.435293i
$238$	−11.5435	−	6.66465i	−0.748254	−	0.432005i
$239$	14.0935	−	24.4107i	0.911636	−	1.57900i	0.0998818	−	0.994999i	$-0.468154\pi$
$239$	14.0935	−	24.4107i	0.911636	−	1.57900i	0.811754	−	0.584000i	$-0.198513\pi$
$240$	−0.0304773	−	2.55099i	−0.00196730	−	0.164665i
$241$	9.65911	+	16.7301i	0.622198	+	1.07768i	0.989076	+	0.147409i	$0.0470935\pi$
$241$	9.65911	+	16.7301i	0.622198	+	1.07768i	−0.366877	+	0.930269i	$0.619573\pi$
$242$	1.37919	+	0.796278i	0.0886580	+	0.0511867i
$243$	0.866025	+	0.500000i	0.0555556	+	0.0320750i
$244$	4.07836	−	7.06393i	0.261090	−	0.452222i
$245$	21.2926	−	37.9189i	1.36033	−	2.42255i
$246$	−1.13449	−	1.96500i	−0.0723326	−	0.125284i
$247$	−0.401482	−	0.231796i	−0.0255457	−	0.0147488i
$248$			3.29046i			0.208944i
$249$	−15.7082			−0.995465
$250$	−7.13517	−	3.78530i	−0.451268	−	0.239403i
$251$	−27.6194			−1.74332			−0.871662	−	0.490108i	$-0.836957\pi$
$251$	−27.6194			−1.74332			−0.871662	+	0.490108i	$0.836957\pi$
$252$	−6.58311	+	3.80076i	−0.414697	+	0.239425i
$253$			2.55192i			0.160438i
$254$	0.0862242	+	0.149345i	0.00541019	+	0.00937072i
$255$	−8.02161	+	0.0958364i	−0.502333	+	0.00600151i
$256$	5.66278	+	9.80822i	0.353924	+	0.613014i
$257$	6.35420	+	3.66860i	0.396364	+	0.228841i	0.684914	−	0.728624i	$-0.259840\pi$
$257$	6.35420	+	3.66860i	0.396364	+	0.228841i	−0.288550	+	0.957465i	$0.593173\pi$
$258$		−	8.11853i		−	0.505437i
$259$	−30.2323	−	8.03771i	−1.87854	−	0.499439i
$260$	−2.46352	−	1.38334i	−0.152781	−	0.0857911i
$261$	−0.0591982	+	0.102534i	−0.00366428	+	0.00634672i
$262$	8.11279	−	4.68392i	0.501210	−	0.289374i
$263$	13.2783	−	7.66626i	0.818778	−	0.472722i	−0.0312168	−	0.999513i	$-0.509938\pi$
$263$	13.2783	−	7.66626i	0.818778	−	0.472722i	0.849995	+	0.526791i	$0.176605\pi$
$264$	3.72599	+	6.45360i	0.229319	+	0.397192i
$265$	12.5227	+	7.03189i	0.769265	+	0.431965i
$266$	1.00744	+	1.74494i	0.0617701	+	0.106989i
$267$		−	6.95446i		−	0.425606i
$268$	7.00452	+	4.04406i	0.427869	+	0.247030i
$269$	−12.4492			−0.759041			−0.379520	−	0.925183i	$-0.623911\pi$
$269$	−12.4492			−0.759041			−0.379520	+	0.925183i	$0.623911\pi$
$270$	0.790937	−	1.40854i	0.0481349	−	0.0857210i
$271$	−6.03655	+	10.4556i	−0.366694	+	0.635133i	−0.989047	−	0.147604i	$-0.952844\pi$
$271$	−6.03655	+	10.4556i	−0.366694	+	0.635133i	0.622352	+	0.782737i	$0.286177\pi$
$272$	−3.54481	+	2.04660i	−0.214935	+	0.124093i
$273$			4.39629i			0.266076i
$274$	−7.84905	+	13.5950i	−0.474179	+	0.821301i
$275$	−14.8244	+	0.354274i	−0.893947	+	0.0213635i
$276$	0.635923	−	1.10145i	0.0382781	−	0.0662996i
$277$	−1.23575	+	0.713459i	−0.0742488	+	0.0428676i	−0.536665	−	0.843796i	$-0.680316\pi$
$277$	−1.23575	+	0.713459i	−0.0742488	+	0.0428676i	0.462416	+	0.886663i	$0.346983\pi$
$278$	2.75224	−	1.58901i	0.165068	−	0.0953023i
$279$	0.654767	−	1.13409i	0.0391999	−	0.0678962i
$280$	14.7455	+	24.8495i	0.881211	+	1.48504i
$281$	−15.4920	+	26.8329i	−0.924174	+	1.60072i	−0.131290	+	0.991344i	$0.541912\pi$
$281$	−15.4920	+	26.8329i	−0.924174	+	1.60072i	−0.792884	+	0.609372i	$0.791421\pi$
$282$		−	3.71497i		−	0.221224i
$283$	13.5085	−	7.79915i	0.802998	−	0.463611i	−0.0415203	−	0.999138i	$-0.513220\pi$
$283$	13.5085	−	7.79915i	0.802998	−	0.463611i	0.844518	+	0.535526i	$0.179887\pi$
$284$	3.08615	−	5.34538i	0.183130	−	0.317190i
$285$	1.05735	+	0.593735i	0.0626321	+	0.0351698i
$286$	1.83154			0.108301
$287$	−13.9883	−	8.07613i	−0.825702	−	0.476719i
$288$		−	5.84962i		−	0.344692i
$289$	−2.06445	−	3.57574i	−0.121438	−	0.210337i
$290$	0.166766	+	0.0936441i	0.00979284	+	0.00549897i
$291$	−3.50477	−	6.07044i	−0.205453	−	0.355855i
$292$	17.1193	−	9.88384i	1.00183	−	0.578408i
$293$	−24.1293	+	13.9310i	−1.40965	+	0.813860i	−0.995354	−	0.0962828i	$-0.969305\pi$
$293$	−24.1293	+	13.9310i	−1.40965	+	0.813860i	−0.414294	+	0.910143i	$0.635971\pi$
$294$	7.02514	−	12.1679i	0.409714	−	0.709646i
$295$	−5.11116	+	9.10221i	−0.297583	+	0.529951i
$296$	10.7865	−	10.8285i	0.626950	−	0.629394i
$297$		−	2.96573i		−	0.172089i
$298$	7.76316	+	4.48206i	0.449708	+	0.259639i
$299$	−0.367782	−	0.637017i	−0.0212694	−	0.0368397i
$300$	6.48676	+	3.54125i	0.374513	+	0.204454i
$301$	−28.8967	−	50.0506i	−1.66558	−	2.88487i
$302$		−	14.5162i		−	0.835311i
$303$	10.0502	−	5.80249i	0.577370	−	0.333345i
$304$	0.618734			0.0354868
$305$	6.29702	+	10.6119i	0.360566	+	0.607637i
$306$	−2.59183			−0.148165
$307$		−	15.6269i		−	0.891874i	−0.895064	−	0.445937i	$-0.852871\pi$
$307$		−	15.6269i		−	0.891874i	0.895064	−	0.445937i	$-0.147129\pi$
$308$	19.5238	+	11.2720i	1.11247	+	0.642284i
$309$	6.32563	+	10.9563i	0.359853	+	0.623283i
$310$	−1.84453	−	1.03576i	−0.104762	−	0.0588271i
$311$	6.07551	−	10.5231i	0.344511	−	0.596710i	−0.640754	−	0.767746i	$-0.721378\pi$
$311$	6.07551	−	10.5231i	0.344511	−	0.596710i	0.985265	+	0.171036i	$0.0547115\pi$
$312$	−1.86018	−	1.07398i	−0.105312	−	0.0608020i
$313$	16.1348	+	9.31546i	0.911995	+	0.526541i	0.881073	−	0.472981i	$-0.156822\pi$
$313$	16.1348	+	9.31546i	0.911995	+	0.526541i	0.0309227	+	0.999522i	$0.490155\pi$
$314$	−5.10626	−	8.84431i	−0.288163	−	0.499113i
$315$	−0.137380	−	11.4989i	−0.00774048	−	0.647887i
$316$	−9.90503	+	17.1560i	−0.557201	+	0.965101i
$317$	−20.3684	−	11.7597i	−1.14401	−	0.660492i	−0.196586	−	0.980487i	$-0.562986\pi$
$317$	−20.3684	−	11.7597i	−1.14401	−	0.660492i	−0.947419	+	0.319994i	$0.896319\pi$
$318$	4.01845	+	2.32005i	0.225343	+	0.130102i
$319$	0.351132			0.0196596
$320$	−4.34692	+	0.0519338i	−0.243000	+	0.00290319i
$321$	7.89805	−	13.6798i	0.440826	−	0.763533i
$322$			3.19694i			0.178158i
$323$		−	1.94562i		−	0.108257i
$324$	−0.739044	+	1.28006i	−0.0410580	+	0.0711145i
$325$	3.64946	−	2.22493i	0.202436	−	0.123417i
$326$	5.43660	+	9.41646i	0.301105	+	0.521529i
$327$			7.54949i			0.417487i
$328$	6.83444	−	3.94587i	0.377369	−	0.217874i
$329$	−13.2229	−	22.9028i	−0.729003	−	1.26267i
$330$	−4.79054	+	0.0572339i	−0.263711	+	0.00315062i
$331$	−5.90858	+	10.2340i	−0.324765	+	0.562509i	−0.981465	−	0.191643i	$-0.938618\pi$
$331$	−5.90858	+	10.2340i	−0.324765	+	0.562509i	0.656700	+	0.754152i	$0.271952\pi$
$332$		−	23.2181i		−	1.27426i
$333$	−5.87242	+	1.58576i	−0.321807	+	0.0868991i
$334$	−8.49829			−0.465006
$335$	−10.5227	+	6.24406i	−0.574915	+	0.341149i
$336$	−2.93376	−	5.08142i	−0.160050	−	0.277214i
$337$	−7.67176	+	4.42929i	−0.417907	+	0.241279i	−0.694182	−	0.719800i	$-0.744234\pi$
$337$	−7.67176	+	4.42929i	−0.417907	+	0.241279i	0.276274	+	0.961079i	$0.410900\pi$
$338$	7.67622	−	4.43187i	0.417531	−	0.241062i
$339$	−5.08469			−0.276163
$340$	−0.141655	−	11.8566i	−0.00768230	−	0.643017i
$341$	−3.88373			−0.210316
$342$	0.339296	+	0.195893i	0.0183470	+	0.0105927i
$343$		−	64.0202i		−	3.45677i
$344$	28.2369			1.52243
$345$	0.981870	+	1.65468i	0.0528621	+	0.0890848i
$346$	−4.99545	−	8.65237i	−0.268557	−	0.465154i
$347$			30.7026i			1.64820i	0.566442	+	0.824101i	$0.308319\pi$
$347$			30.7026i			1.64820i	−0.566442	+	0.824101i	$0.691681\pi$
$348$	−0.151555	−	0.0875002i	−0.00812419	−	0.00469050i
$349$	11.5325	−	19.9748i	0.617319	−	1.06923i	−0.372654	−	0.927971i	$-0.621552\pi$
$349$	11.5325	−	19.9748i	0.617319	−	1.06923i	0.989973	−	0.141258i	$-0.0451147\pi$
$350$	−18.5714	+	0.443819i	−0.992685	+	0.0237231i
$351$	0.427421	+	0.740315i	0.0228141	+	0.0395151i
$352$	−15.0242	+	8.67421i	−0.800791	+	0.462337i
$353$	18.0376	+	10.4140i	0.960047	+	0.554283i	0.896187	−	0.443676i	$-0.146326\pi$
$353$	18.0376	+	10.4140i	0.960047	+	0.554283i	0.0638594	+	0.997959i	$0.479659\pi$
$354$	−1.68634	+	2.92083i	−0.0896281	+	0.155240i
$355$	4.76504	+	8.03019i	0.252902	+	0.426198i
$356$	10.2793			0.544802
$357$	−15.9786	+	9.22525i	−0.845677	+	0.488252i
$358$	4.40049	+	2.54062i	0.232573	+	0.134276i
$359$	−7.99448			−0.421933			−0.210966	−	0.977493i	$-0.567661\pi$
$359$	−7.99448			−0.421933			−0.210966	+	0.977493i	$0.567661\pi$
$360$	4.89902	+	2.75095i	0.258201	+	0.144988i
$361$	9.35295	−	16.1998i	0.492260	−	0.852620i
$362$		−	11.4349i		−	0.601005i
$363$	1.90909	−	1.10221i	0.100201	−	0.0578512i
$364$	−6.49810			−0.340593
$365$	0.357255	+	29.9027i	0.0186996	+	1.56518i
$366$	1.99335	+	3.45259i	0.104194	+	0.180470i
$367$	16.9245	−	9.77136i	0.883452	−	0.510061i	0.0116567	−	0.999932i	$-0.496289\pi$
$367$	16.9245	−	9.77136i	0.883452	−	0.510061i	0.871795	+	0.489871i	$0.162956\pi$
$368$	0.850197	+	0.490861i	0.0443196	+	0.0255879i
$369$	−3.14075			−0.163501
$370$	2.67481	+	9.45512i	0.139057	+	0.491548i
$371$	33.0316			1.71491
$372$	1.67628	+	0.967803i	0.0869113	+	0.0501783i
$373$	7.35769	−	4.24797i	0.380967	−	0.219951i	−0.297272	−	0.954793i	$-0.596077\pi$
$373$	7.35769	−	4.24797i	0.380967	−	0.219951i	0.678239	+	0.734841i	$0.262743\pi$
$374$	3.84334	+	6.65686i	0.198734	+	0.344218i
$375$	−9.47593	+	5.93353i	−0.489335	+	0.306406i
$376$	12.9210			0.666350
$377$	−0.0876507	+	0.0506051i	−0.00451424	+	0.00260630i
$378$		−	3.71535i		−	0.191097i
$379$	−17.8873	+	30.9817i	−0.918810	+	1.59143i	−0.117585	+	0.993063i	$0.537515\pi$
$379$	−17.8873	+	30.9817i	−0.918810	+	1.59143i	−0.801225	+	0.598363i	$0.795818\pi$
$380$	−0.877592	+	1.56286i	−0.0450195	+	0.0801730i
$381$	0.238704			0.0122292
$382$	−3.55943	−	2.05504i	−0.182116	−	0.105145i
$383$	−31.8246	+	18.3739i	−1.62616	+	0.938864i	−0.640935	+	0.767595i	$0.721453\pi$
$383$	−31.8246	+	18.3739i	−1.62616	+	0.938864i	−0.985224	+	0.171268i	$0.945214\pi$
$384$	10.2947			0.525351
$385$	−29.3299	+	17.4041i	−1.49479	+	0.886995i
$386$	7.84341	−	13.5852i	0.399219	−	0.691468i
$387$	−9.73215	−	5.61886i	−0.494713	−	0.285623i
$388$	8.97264	−	5.18036i	0.455517	−	0.262993i
$389$	−0.0140339	−	0.0243074i	−0.000711546	−	0.00123243i	0.865669	−	0.500616i	$-0.166893\pi$
$389$	−0.0140339	−	0.0243074i	−0.000711546	−	0.00123243i	−0.866381	+	0.499384i	$0.833560\pi$
$390$	1.18758	−	0.704700i	0.0601355	−	0.0356839i
$391$	1.54352	−	2.67346i	0.0780592	−	0.135202i
$392$	42.3210	+	24.4340i	2.13753	+	1.23411i
$393$		−	12.9670i		−	0.654101i
$394$	−5.81180	−	10.0663i	−0.292794	−	0.507134i
$395$	−15.2934	−	25.7729i	−0.769496	−	1.29678i
$396$	4.38361			0.220285
$397$		−	4.68516i		−	0.235141i	−0.993065	−	0.117571i	$-0.962489\pi$
$397$		−	4.68516i		−	0.235141i	0.993065	−	0.117571i	$-0.0375106\pi$
$398$	1.65187	+	0.953710i	0.0828010	+	0.0478052i
$399$	2.78901			0.139625
$400$	−2.73345	+	5.00705i	−0.136672	+	0.250353i
$401$	7.70638			0.384838			0.192419	−	0.981313i	$-0.438367\pi$
$401$	7.70638			0.384838			0.192419	+	0.981313i	$0.438367\pi$
$402$	−3.42355	+	1.97659i	−0.170751	+	0.0985833i
$403$	0.969468	−	0.559723i	0.0482926	−	0.0278818i
$404$	8.57659	+	14.8551i	0.426701	+	0.739069i
$405$	−1.14109	−	1.92300i	−0.0567011	−	0.0955545i
$406$	0.439884			0.0218311
$407$	12.7809	+	12.7313i	0.633525	+	0.631065i
$408$		−	9.01461i		−	0.446290i
$409$	−7.91297	+	13.7057i	−0.391271	+	0.677702i	−0.992617	−	0.121287i	$-0.961298\pi$
$409$	−7.91297	+	13.7057i	−0.391271	+	0.677702i	0.601346	+	0.798989i	$0.294631\pi$
$410$	0.0606114	+	5.07325i	0.00299339	+	0.250550i
$411$	10.8647	+	18.8182i	0.535917	+	0.928235i
$412$	−16.1944	+	9.34984i	−0.797841	+	0.460634i
$413$			24.0092i			1.18141i
$414$	0.310816	+	0.538349i	0.0152758	+	0.0264584i
$415$	30.6264	+	17.1976i	1.50339	+	0.844198i
$416$	2.50025	−	4.33056i	0.122585	−	0.212323i
$417$		−	4.39903i		−	0.215421i
$418$		−	1.16193i		−	0.0568319i
$419$	−8.29599	+	14.3691i	−0.405286	+	0.701975i	−0.994355	−	0.106107i	$-0.966161\pi$
$419$	−8.29599	+	14.3691i	−0.405286	+	0.701975i	0.589069	+	0.808083i	$0.299495\pi$
$420$	16.9963	−	0.203059i	0.829335	−	0.00990829i
$421$	37.1574			1.81094			0.905471	−	0.424409i	$-0.139518\pi$
$421$	37.1574			1.81094			0.905471	+	0.424409i	$0.139518\pi$
$422$	−4.85654	−	2.80393i	−0.236413	−	0.136493i
$423$	−4.45336	−	2.57115i	−0.216530	−	0.125013i
$424$	−8.06935	+	13.9765i	−0.391882	+	0.678760i
$425$	15.7447	+	8.59537i	0.763732	+	0.416937i
$426$	1.50840	+	2.61262i	0.0730822	+	0.126582i
$427$	24.5780	+	14.1901i	1.18941	+	0.686708i
$428$	20.2200	+	11.6740i	0.977369	+	0.564284i
$429$	1.26762	−	2.19558i	0.0612011	−	0.106003i
$430$	−8.88833	+	15.8288i	−0.428633	+	0.763331i
$431$	−12.3109	−	21.3232i	−0.592997	−	1.02710i	−0.993826	−	0.110949i	$-0.964611\pi$
$431$	−12.3109	−	21.3232i	−0.592997	−	1.02710i	0.400829	−	0.916153i	$-0.368722\pi$
$432$	−0.988063	−	0.570459i	−0.0475382	−	0.0274462i
$433$			21.2337i			1.02043i	0.860048	+	0.510213i	$0.170434\pi$
$433$			21.2337i			1.02043i	−0.860048	+	0.510213i	$0.829566\pi$
$434$	−4.86537			−0.233545
$435$	0.227676	−	0.135101i	0.0109162	−	0.00647759i
$436$	−11.1588			−0.534410
$437$	−0.404124	+	0.233321i	−0.0193319	+	0.0111613i
$438$			9.66172i			0.461655i
$439$	−1.80861	−	3.13260i	−0.0863201	−	0.149511i	0.819633	−	0.572889i	$-0.194177\pi$
$439$	−1.80861	−	3.13260i	−0.0863201	−	0.149511i	−0.905953	+	0.423378i	$0.860844\pi$
$440$	−0.199065	−	16.6619i	−0.00949003	−	0.794327i
$441$	−9.72425	−	16.8429i	−0.463059	−	0.802042i
$442$	−1.91877	−	1.10780i	−0.0912666	−	0.0526928i
$443$		−	1.47479i		−	0.0700694i	−0.999386	−	0.0350347i	$-0.988846\pi$
$443$		−	1.47479i		−	0.0700694i	0.999386	−	0.0350347i	$-0.0111542\pi$
$444$	−2.34389	−	8.67996i	−0.111236	−	0.411932i
$445$	−7.61388	+	13.5592i	−0.360933	+	0.642767i
$446$	1.19985	−	2.07821i	0.0568147	−	0.0984060i
$447$	10.7458	−	6.20410i	0.508260	−	0.293444i
$448$	−8.65882	+	4.99917i	−0.409091	+	0.236189i
$449$	2.23469	+	3.87060i	0.105462	+	0.182665i	0.913927	−	0.405879i	$-0.133035\pi$
$449$	2.23469	+	3.87060i	0.105462	+	0.182665i	−0.808465	+	0.588544i	$0.799701\pi$
$450$	−3.08419	+	1.88031i	−0.145390	+	0.0886386i
$451$	4.65731	+	8.06670i	0.219304	+	0.379846i
$452$		−	7.51562i		−	0.353505i
$453$	−17.4014	−	10.0467i	−0.817588	−	0.472035i
$454$	5.61671			0.263605
$455$	4.81315	−	8.57149i	0.225644	−	0.401838i
$456$	−0.681332	+	1.18010i	−0.0319063	+	0.0552634i
$457$	−19.2729	+	11.1272i	−0.901551	+	0.520510i	−0.877703	−	0.479205i	$-0.840925\pi$
$457$	−19.2729	+	11.1272i	−0.901551	+	0.520510i	−0.0238476	+	0.999716i	$0.507592\pi$
$458$		−	13.8711i		−	0.648155i
$459$	−1.79382	+	3.10698i	−0.0837281	+	0.145021i
$460$	−2.44576	+	1.45129i	−0.114034	+	0.0676667i
$461$	5.54288	−	9.60056i	0.258158	−	0.447143i	−0.707591	−	0.706623i	$-0.750218\pi$
$461$	5.54288	−	9.60056i	0.258158	−	0.447143i	0.965748	+	0.259480i	$0.0835512\pi$
$462$	−9.54250	+	5.50936i	−0.443957	+	0.256319i
$463$	9.43256	−	5.44589i	0.438368	−	0.253092i	−0.264537	−	0.964376i	$-0.585219\pi$
$463$	9.43256	−	5.44589i	0.438368	−	0.253092i	0.702905	+	0.711284i	$0.251886\pi$
$464$	0.0675403	−	0.116983i	0.00313548	−	0.00543081i
$465$	−2.51823	+	1.49429i	−0.116780	+	0.0692962i
$466$	4.05531	−	7.02400i	0.187859	−	0.325381i
$467$		−	19.6622i		−	0.909859i	−0.890527	−	0.454929i	$-0.849664\pi$
$467$		−	19.6622i		−	0.909859i	0.890527	−	0.454929i	$-0.150336\pi$
$468$	−1.09425	+	0.631766i	−0.0505817	+	0.0292034i
$469$	−14.0708	+	24.3713i	−0.649728	+	1.12536i
$470$	−4.06723	+	7.24312i	−0.187607	+	0.334100i
$471$	−14.1363			−0.651364
$472$	−10.1589	−	5.86525i	−0.467602	−	0.269970i
$473$			33.3281i			1.53243i
$474$	−4.84122	−	8.38523i	−0.222364	−	0.385146i
$475$	−1.41150	−	2.31522i	−0.0647639	−	0.106230i
$476$	−13.6357	−	23.6178i	−0.624993	−	1.08252i
$477$	5.56237	−	3.21143i	0.254683	−	0.147041i
$478$	−17.6352	+	10.1817i	−0.806614	+	0.465699i
$479$	−12.2743	+	21.2598i	−0.560829	+	0.971385i	0.436595	+	0.899658i	$0.356184\pi$
$479$	−12.2743	+	21.2598i	−0.560829	+	0.971385i	−0.997424	+	0.0717267i	$0.977149\pi$
$480$	−6.40429	+	11.4051i	−0.292314	+	0.520568i
$481$	−5.02523	−	1.33604i	−0.229131	−	0.0609180i
$482$		−	13.9562i		−	0.635686i
$483$	3.83235	+	2.21261i	0.174378	+	0.100677i
$484$	1.62917	+	2.82180i	0.0740531	+	0.128264i
$485$	0.187246	+	15.6727i	0.00850239	+	0.711660i
$486$	−0.361218	−	0.625647i	−0.0163852	−	0.0283799i
$487$		−	11.8277i		−	0.535966i	−0.963424	−	0.267983i	$-0.913643\pi$
$487$		−	11.8277i		−	0.535966i	0.963424	−	0.267983i	$-0.0863571\pi$
$488$	−12.0084	+	6.93306i	−0.543595	+	0.313845i
$489$	15.0507			0.680618
$490$	−27.0186	+	16.0326i	−1.22058	+	0.724279i
$491$	−20.8799			−0.942298			−0.471149	−	0.882054i	$-0.656161\pi$
$491$	−20.8799			−0.942298			−0.471149	+	0.882054i	$0.656161\pi$
$492$		−	4.64230i		−	0.209291i
$493$	−0.367855	−	0.212381i	−0.0165674	−	0.00956518i
$494$	0.167457	+	0.290045i	0.00753427	+	0.0130497i
$495$	−3.24694	+	5.78232i	−0.145939	+	0.259896i
$496$	−0.747035	+	1.29390i	−0.0335429	+	0.0580980i
$497$	18.5985	+	10.7379i	0.834258	+	0.481659i
$498$	9.82778	+	5.67407i	0.440393	+	0.254261i
$499$	−11.1086	−	19.2406i	−0.497289	−	0.861330i	0.502706	−	0.864457i	$-0.332338\pi$
$499$	−11.1086	−	19.2406i	−0.497289	−	0.861330i	−0.999995	+	0.00312769i	$0.999004\pi$
$500$	−8.77027	−	14.0063i	−0.392218	−	0.626379i
$501$	−5.88170	+	10.1874i	−0.262775	+	0.455139i
$502$	17.2800	+	9.97662i	0.771245	+	0.445279i
$503$	−27.8597	−	16.0848i	−1.24220	−	0.717187i	−0.272662	−	0.962110i	$-0.587904\pi$
$503$	−27.8597	−	16.0848i	−1.24220	−	0.717187i	−0.969543	+	0.244923i	$0.921237\pi$
$504$	12.9223			0.575605
$505$	−25.9477	+	0.310004i	−1.15466	+	0.0137950i
$506$	0.921797	−	1.59660i	0.0409789	−	0.0709775i
$507$		−	12.2692i		−	0.544896i
$508$			0.352826i			0.0156541i
$509$	7.60037	−	13.1642i	0.336881	−	0.583494i	−0.646964	−	0.762521i	$-0.723961\pi$
$509$	7.60037	−	13.1642i	0.336881	−	0.583494i	0.983844	+	0.179026i	$0.0572948\pi$
$510$	5.05332	+	2.83759i	0.223765	+	0.125651i
$511$	34.3895	+	59.5644i	1.52130	+	2.63497i
$512$			12.4075i			0.548339i
$513$	0.469656	−	0.271156i	0.0207358	−	0.0119718i
$514$	−2.65032	−	4.59050i	−0.116901	−	0.202478i
$515$	−0.337953	−	28.2871i	−0.0148920	−	1.24648i
$516$	8.30517	−	14.3850i	0.365615	−	0.633263i
$517$			15.2507i			0.670724i
$518$	16.0114	+	15.9492i	0.703499	+	0.700767i
$519$	−13.8295			−0.607046
$520$	2.45101	+	4.13051i	0.107484	+	0.181135i
$521$	−17.1223	−	29.6567i	−0.750143	−	1.29929i	−0.947753	−	0.319005i	$-0.896651\pi$
$521$	−17.1223	−	29.6567i	−0.750143	−	1.29929i	0.197610	−	0.980281i	$-0.436682\pi$
$522$	0.0740744	−	0.0427669i	0.00324215	−	0.00187186i
$523$	−19.6649	+	11.3536i	−0.859887	+	0.496456i	−0.863975	−	0.503535i	$-0.832032\pi$
$523$	−19.6649	+	11.3536i	−0.859887	+	0.496456i	0.00408725	+	0.999992i	$0.498699\pi$
$524$	19.1664			0.837289
$525$	−12.3213	+	22.5698i	−0.537747	+	0.985028i
$526$	−11.0767			−0.482969
$527$	4.06870	+	2.34906i	0.177235	+	0.102327i
$528$			3.38366i			0.147255i
$529$	22.2596			0.967809
$530$	−5.29477	−	8.92291i	−0.229990	−	0.387586i
$531$	2.33425	+	4.04304i	0.101298	+	0.175453i
$532$			4.12240i			0.178729i
$533$	−2.32514	−	1.34242i	−0.100713	−	0.0581467i
$534$	−2.51207	+	4.35104i	−0.108708	+	0.188288i
$535$	−30.3758	+	18.0247i	−1.31326	+	0.779277i
$536$	−6.87475	−	11.9074i	−0.296944	−	0.514322i
$537$	6.09118	−	3.51675i	0.262854	−	0.151759i
$538$	7.78881	+	4.49687i	0.335799	+	0.193874i
$539$	−28.8395	+	49.9515i	−1.24221	+	2.15156i
$540$	2.84236	−	1.68663i	0.122316	−	0.0725809i
$541$	−19.5660			−0.841207			−0.420603	−	0.907245i	$-0.638182\pi$
$541$	−19.5660			−0.841207			−0.420603	+	0.907245i	$0.638182\pi$
$542$	7.55350	−	4.36102i	0.324451	−	0.187322i
$543$	−13.7077	−	7.91414i	−0.588253	−	0.339628i
$544$	20.9863			0.899780
$545$	8.26533	−	14.7193i	0.354048	−	0.630506i
$546$	1.58802	−	2.75053i	0.0679609	−	0.117712i
$547$			31.9738i			1.36710i	0.729904	+	0.683550i	$0.239565\pi$
$547$			31.9738i			1.36710i	−0.729904	+	0.683550i	$0.760435\pi$
$548$	−27.8150	+	16.0590i	−1.18820	+	0.686006i
$549$	5.51843			0.235521
$550$	9.40283	+	5.13320i	0.400938	+	0.218880i
$551$	0.0321039	+	0.0556057i	0.00136767	+	0.00236888i
$552$	−1.87243	+	1.08105i	−0.0796957	+	0.0460123i
$553$	−59.6921	−	34.4632i	−2.53836	−	1.46553i
$554$	1.03086			0.0437968
$555$	13.1856	+	3.33747i	0.559700	+	0.141668i
$556$	6.50215			0.275753
$557$	−31.4160	−	18.1380i	−1.33114	−	0.768533i	−0.345664	−	0.938358i	$-0.612346\pi$
$557$	−31.4160	−	18.1380i	−1.33114	−	0.768533i	−0.985474	+	0.169825i	$0.945680\pi$
$558$	−0.819307	+	0.473027i	−0.0346840	+	0.0200248i
$559$	−4.80324	−	8.31946i	−0.203155	−	0.351876i
$560$	0.156739	+	13.1192i	0.00662344	+	0.554389i
$561$	10.6400			0.449219
$562$	19.3850	−	11.1920i	0.817708	−	0.472104i
$563$		−	33.4449i		−	1.40953i	−0.709439	−	0.704767i	$-0.751051\pi$
$563$		−	33.4449i		−	1.40953i	0.709439	−	0.704767i	$-0.248949\pi$
$564$	3.80038	−	6.58245i	0.160025	−	0.277171i
$565$	9.91368	+	5.56682i	0.417071	+	0.234198i
$566$	−11.2688			−0.473661
$567$	−4.45380	−	2.57140i	−0.187042	−	0.107989i
$568$	−9.08694	+	5.24635i	−0.381279	+	0.220132i
$569$	21.4550			0.899442			0.449721	−	0.893169i	$-0.351523\pi$
$569$	21.4550			0.899442			0.449721	+	0.893169i	$0.351523\pi$
$570$	−0.447062	−	0.753403i	−0.0187254	−	0.0315566i
$571$	10.7160	−	18.5607i	0.448452	−	0.776741i	−0.549834	−	0.835274i	$-0.685309\pi$
$571$	10.7160	−	18.5607i	0.448452	−	0.776741i	0.998285	+	0.0585329i	$0.0186423\pi$
$572$	3.24525	+	1.87365i	0.135691	+	0.0783412i
$573$	−4.92699	+	2.84460i	−0.205828	+	0.118835i
$574$	5.83448	+	10.1056i	0.243527	+	0.421800i
$575$	−0.102788	−	4.30111i	−0.00428654	−	0.179369i
$576$	−0.972070	+	1.68367i	−0.0405029	+	0.0701531i
$577$	−25.7909	−	14.8904i	−1.07369	−	0.619896i	−0.144503	−	0.989504i	$-0.546158\pi$
$577$	−25.7909	−	14.8904i	−1.07369	−	0.619896i	−0.929188	+	0.369609i	$0.879492\pi$
$578$			2.98287i			0.124071i
$579$	−10.8569	−	18.8047i	−0.451198	−	0.781498i
$580$	0.199691	+	0.336525i	0.00829171	+	0.0139734i
$581$	80.7842			3.35149
$582$			5.06394i			0.209907i
$583$	−16.4965	−	9.52426i	−0.683215	−	0.394454i
$584$	−33.6043			−1.39056
$585$	−0.0228354	−	1.91135i	−0.000944128	−	0.0790246i
$586$	20.1286			0.831503
$587$	3.39125	−	1.95794i	0.139972	−	0.0808129i	−0.428379	−	0.903599i	$-0.640915\pi$
$587$	3.39125	−	1.95794i	0.139972	−	0.0808129i	0.568351	+	0.822786i	$0.307582\pi$
$588$	24.8953	−	14.3733i	1.02666	−	0.592744i
$589$	−0.355088	−	0.615031i	−0.0146312	−	0.0253419i
$590$	6.48566	−	3.84853i	0.267011	−	0.158442i
$591$	−16.0895			−0.661832
$592$	6.69995	−	1.80922i	0.275366	−	0.0743586i
$593$		−	9.92986i		−	0.407771i	−0.978995	−	0.203885i	$-0.934643\pi$
$593$		−	9.92986i		−	0.407771i	0.978995	−	0.203885i	$-0.0653570\pi$
$594$	−1.07127	+	1.85550i	−0.0439549	+	0.0761322i
$595$	41.2536	−	0.492868i	1.69123	−	0.0202056i
$596$	9.17021	+	15.8833i	0.375626	+	0.650604i
$597$	2.28654	−	1.32013i	0.0935817	−	0.0540294i
$598$			0.531397i			0.0217305i
$599$	11.3184	+	19.6040i	0.462457	+	0.800999i	0.999083	−	0.0428216i	$-0.0136347\pi$
$599$	11.3184	+	19.6040i	0.462457	+	0.800999i	−0.536626	+	0.843820i	$0.680301\pi$
$600$	−6.53988	−	10.7271i	−0.266990	−	0.437932i
$601$	16.3565	−	28.3303i	0.667197	−	1.15562i	−0.311488	−	0.950250i	$-0.600827\pi$
$601$	16.3565	−	28.3303i	0.667197	−	1.15562i	0.978685	−	0.205369i	$-0.0658393\pi$
$602$			41.7520i			1.70169i
$603$			5.47202i			0.222838i
$604$	14.8499	−	25.7208i	0.604233	−	1.04656i
$605$	−4.92890	+	0.0588869i	−0.200388	+	0.00239409i
$606$	−8.38385			−0.340571
$607$	11.6247	+	6.71153i	0.471833	+	0.272413i	0.717007	−	0.697066i	$-0.245512\pi$
$607$	11.6247	+	6.71153i	0.471833	+	0.272413i	−0.245174	+	0.969479i	$0.578845\pi$
$608$	−2.74731	−	1.58616i	−0.111418	−	0.0643274i
$609$	0.304445	−	0.527315i	0.0123367	−	0.0213679i
$610$	−0.106497	−	8.91392i	−0.00431194	−	0.360914i
$611$	−2.19793	−	3.80692i	−0.0889185	−	0.154011i
$612$	−4.59239	−	2.65142i	−0.185636	−	0.107177i
$613$	12.2081	+	7.04833i	0.493079	+	0.284679i	0.725851	−	0.687852i	$-0.241446\pi$
$613$	12.2081	+	7.04833i	0.493079	+	0.284679i	−0.232772	+	0.972531i	$0.574780\pi$
$614$	−5.64471	+	9.77692i	−0.227802	+	0.394564i
$615$	6.12355	+	3.43855i	0.246925	+	0.138656i
$616$	−19.1620	−	33.1896i	−0.772061	−	1.33725i
$617$	−18.8986	−	10.9111i	−0.760830	−	0.439265i	0.0687639	−	0.997633i	$-0.478094\pi$
$617$	−18.8986	−	10.9111i	−0.760830	−	0.439265i	−0.829594	+	0.558368i	$0.811428\pi$
$618$		−	9.13972i		−	0.367653i
$619$	22.8433			0.918148			0.459074	−	0.888398i	$-0.348181\pi$
$619$	22.8433			0.918148			0.459074	+	0.888398i	$0.348181\pi$
$620$	−2.20870	−	3.72217i	−0.0887034	−	0.149486i
$621$	0.860468			0.0345294
$622$	−7.60226	+	4.38916i	−0.304823	+	0.175989i
$623$			35.7655i			1.43291i
$624$	−0.487652	−	0.844638i	−0.0195217	−	0.0338126i
$625$	24.9715	−	1.19422i	0.998858	−	0.0477686i
$626$	−6.72981	−	11.6564i	−0.268977	−	0.465883i
$627$	−1.39288	−	0.804177i	−0.0556261	−	0.0321157i
$628$		−	20.8946i		−	0.833786i
$629$	−5.68912	−	21.0681i	−0.226840	−	0.840040i
$630$	−4.06764	+	7.24385i	−0.162058	+	0.288602i
$631$	4.96388	−	8.59770i	0.197609	−	0.342269i	−0.750144	−	0.661275i	$-0.770016\pi$
$631$	4.96388	−	8.59770i	0.197609	−	0.342269i	0.947753	+	0.319006i	$0.103349\pi$
$632$	29.1646	−	16.8382i	1.16010	−	0.669786i
$633$	−6.72246	+	3.88121i	−0.267194	+	0.154264i
$634$	8.49564	+	14.7149i	0.337405	+	0.584403i
$635$	−0.465404	−	0.261338i	−0.0184690	−	0.0103709i
$636$	4.74678	+	8.22167i	0.188222	+	0.326010i
$637$		−	16.6254i		−	0.658722i
$638$	−0.219685	−	0.126835i	−0.00869741	−	0.00502145i
$639$	4.17587			0.165195
$640$	−20.0717	−	11.2709i	−0.793405	−	0.445521i
$641$	−13.3775	+	23.1705i	−0.528380	+	0.915181i	0.471072	+	0.882095i	$0.343867\pi$
$641$	−13.3775	+	23.1705i	−0.528380	+	0.915181i	−0.999452	+	0.0330866i	$0.989466\pi$
$642$	−9.88278	+	5.70583i	−0.390042	+	0.225191i
$643$			18.1078i			0.714101i	0.934085	+	0.357051i	$0.116218\pi$
$643$			18.1078i			0.714101i	−0.934085	+	0.357051i	$0.883782\pi$
$644$	−3.27043	+	5.66455i	−0.128873	+	0.223215i
$645$	12.8232	+	21.6101i	0.504914	+	0.850897i
$646$	−0.702791	+	1.21727i	−0.0276509	+	0.0478928i
$647$	15.6605	−	9.04160i	0.615678	−	0.355462i	−0.159506	−	0.987197i	$-0.550990\pi$
$647$	15.6605	−	9.04160i	0.615678	−	0.355462i	0.775184	+	0.631735i	$0.217657\pi$
$648$	2.17606	−	1.25635i	0.0854835	−	0.0493539i
$649$	6.92276	−	11.9906i	0.271742	−	0.470671i
$650$	−3.08696	+	0.0737720i	−0.121080	+	0.00289358i
$651$	−3.36734	+	5.83241i	−0.131977	+	0.228590i
$652$			22.2463i			0.871233i
$653$	−34.9930	+	20.2032i	−1.36938	+	0.790614i	−0.990849	−	0.134974i	$-0.956905\pi$
$653$	−34.9930	+	20.2032i	−1.36938	+	0.790614i	−0.378534	+	0.925587i	$0.623572\pi$
$654$	2.72701	−	4.72331i	0.106634	−	0.184696i
$655$	−14.1966	+	25.2820i	−0.554706	+	0.987848i
$656$	3.58333			0.139906
$657$	11.5821	+	6.68691i	0.451860	+	0.260881i
$658$			19.1054i			0.744806i
$659$	3.38287	+	5.85931i	0.131778	+	0.228246i	0.924362	−	0.381517i	$-0.124598\pi$
$659$	3.38287	+	5.85931i	0.131778	+	0.228246i	−0.792584	+	0.609763i	$0.791265\pi$
$660$	−8.54677	−	4.79927i	−0.332683	−	0.186811i
$661$	−8.76203	−	15.1763i	−0.340804	−	0.590289i	0.643779	−	0.765212i	$-0.277366\pi$
$661$	−8.76203	−	15.1763i	−0.340804	−	0.590289i	−0.984582	+	0.174923i	$0.944032\pi$
$662$	7.39337	−	4.26856i	0.287351	−	0.165902i
$663$	−2.65598	+	1.53343i	−0.103150	+	0.0595535i
$664$	−19.7349	+	34.1819i	−0.765863	+	1.32651i
$665$	−5.43776	−	3.05346i	−0.210867	−	0.118408i
$666$	4.24687	+	1.12910i	0.164563	+	0.0437516i
$667$			0.101876i			0.00394467i
$668$	−15.0579	−	8.69366i	−0.582606	−	0.336368i
$669$	−1.66085	−	2.87667i	−0.0642120	−	0.111219i
$670$	8.83895	−	0.105601i	0.341478	−	0.00407973i
$671$	−8.18310	−	14.1735i	−0.315905	−	0.547164i
$672$			30.0835i			1.16050i
$673$	38.0600	−	21.9740i	1.46711	−	0.847034i	0.467783	−	0.883843i	$-0.345053\pi$
$673$	38.0600	−	21.9740i	1.46711	−	0.847034i	0.999322	+	0.0368091i	$0.0117194\pi$
$674$	6.39975			0.246509
$675$	0.119456	+	4.99857i	0.00459785	+	0.192395i
$676$	18.1350			0.697501
$677$		−	5.91599i		−	0.227370i	−0.993517	−	0.113685i	$-0.963735\pi$
$677$		−	5.91599i		−	0.227370i	0.993517	−	0.113685i	$-0.0362655\pi$
$678$	3.18122	+	1.83668i	0.122174	+	0.0705373i
$679$	18.0244	+	31.2191i	0.691712	+	1.19808i
$680$	−9.86938	+	17.5759i	−0.378473	+	0.674004i
$681$	3.88735	−	6.73308i	0.148963	−	0.258012i
$682$	2.42984	+	1.40287i	0.0930436	+	0.0537187i
$683$	13.3894	+	7.73036i	0.512330	+	0.295794i	0.733791	−	0.679375i	$-0.237749\pi$
$683$	13.3894	+	7.73036i	0.512330	+	0.295794i	−0.221461	+	0.975169i	$0.571083\pi$
$684$	0.400793	+	0.694193i	0.0153247	+	0.0265431i
$685$	−0.580458	−	48.5850i	−0.0221782	−	1.85634i
$686$	−23.1252	+	40.0541i	−0.882926	+	1.52927i
$687$	−16.6281	−	9.60026i	−0.634403	−	0.366273i
$688$	11.1036	+	6.41066i	0.423320	+	0.244404i
$689$	5.49054			0.209173
$690$	−0.0166057	−	1.38991i	−0.000632167	−	0.0529131i
$691$	−2.52580	+	4.37481i	−0.0960859	+	0.166426i	−0.910061	−	0.414474i	$-0.863966\pi$
$691$	−2.52580	+	4.37481i	−0.0960859	+	0.166426i	0.813975	+	0.580899i	$0.197299\pi$
$692$		−	20.4412i		−	0.777056i
$693$			15.2522i			0.579383i
$694$	11.0903	−	19.2090i	0.420983	−	0.729164i
$695$	−4.81614	+	8.57683i	−0.182687	+	0.325338i
$696$	0.148747	+	0.257637i	0.00563824	+	0.00976572i
$697$		−	11.2678i		−	0.426800i
$698$	−14.4305	+	8.33147i	−0.546203	+	0.315351i
$699$	−5.61339	−	9.72267i	−0.212318	−	0.367745i
$700$	−33.3602	−	18.2120i	−1.26090	−	0.688349i
$701$	17.6852	−	30.6316i	0.667960	−	1.15694i	−0.310514	−	0.950569i	$-0.600501\pi$
$701$	17.6852	−	30.6316i	0.667960	−	1.15694i	0.978474	−	0.206372i	$-0.0661657\pi$
$702$		−	0.617568i		−	0.0233086i
$703$	−0.847582	+	3.18801i	−0.0319672	+	0.120238i
$704$	5.76580			0.217307
$705$	5.86781	+	9.88862i	0.220995	+	0.372427i
$706$	−7.52347	−	13.0310i	−0.283149	−	0.490429i
$707$	−51.6863	+	29.8411i	−1.94386	+	1.12229i
$708$	−5.97596	+	3.45022i	−0.224590	+	0.129667i
$709$	−11.1898			−0.420242			−0.210121	−	0.977675i	$-0.567386\pi$
$709$	−11.1898			−0.420242			−0.210121	+	0.977675i	$0.567386\pi$
$710$	−0.0805877	−	6.74529i	−0.00302440	−	0.253146i
$711$	−13.4025			−0.502633
$712$	−15.1333	−	8.73721i	−0.567144	−	0.327441i
$713$		−	1.12681i		−	0.0421994i
$714$	13.3293			0.498836
$715$	−4.87525	+	2.89293i	−0.182324	+	0.108189i
$716$	5.19806	+	9.00330i	0.194261	+	0.336469i
$717$			28.1871i			1.05267i
$718$	5.00172	+	2.88775i	0.186663	+	0.107770i
$719$	−14.1413	+	24.4934i	−0.527381	+	0.913450i	0.472110	+	0.881540i	$0.343493\pi$
$719$	−14.1413	+	24.4934i	−0.527381	+	0.913450i	−0.999491	+	0.0319108i	$0.989841\pi$
$720$	1.30189	+	2.19398i	0.0485185	+	0.0817648i
$721$	−32.5315	−	56.3463i	−1.21154	−	2.09844i
$722$	−11.7033	+	6.75690i	−0.435551	+	0.251466i
$723$	−16.7301	−	9.65911i	−0.622198	−	0.359226i
$724$	11.6978	−	20.2612i	0.434745	−	0.753000i
$725$	−0.591813	+	0.0141431i	−0.0219794	+	0.000525262i
$726$	−1.59256			−0.0591053
$727$	8.99254	−	5.19184i	0.333515	−	0.192555i	−0.323886	−	0.946096i	$-0.604989\pi$
$727$	8.99254	−	5.19184i	0.333515	−	0.192555i	0.657400	+	0.753541i	$0.271656\pi$
$728$	9.56657	+	5.52326i	0.354561	+	0.204706i
$729$	−1.00000			−0.0370370
$730$	10.5778	−	18.8376i	0.391504	−	0.697209i
$731$	20.1584	−	34.9154i	0.745585	−	1.29139i
$732$			8.15673i			0.301481i
$733$	11.7906	−	6.80733i	0.435497	−	0.251434i	−0.266189	−	0.963921i	$-0.585764\pi$
$733$	11.7906	−	6.80733i	0.435497	−	0.251434i	0.701686	+	0.712487i	$0.252431\pi$
$734$	−14.1184			−0.521118
$735$	0.519528	+	43.4850i	0.0191631	+	1.60397i
$736$	−2.51671	−	4.35906i	−0.0927670	−	0.160677i
$737$	14.0543	−	8.11427i	0.517698	−	0.298893i
$738$	1.96500	+	1.13449i	0.0723326	+	0.0417613i
$739$	−1.02098			−0.0375574			−0.0187787	−	0.999824i	$-0.505978\pi$
$739$	−1.02098			−0.0375574			−0.0187787	+	0.999824i	$0.505978\pi$
$740$	−4.93308	+	19.4895i	−0.181344	+	0.716450i
$741$	0.463592			0.0170305
$742$	−20.6661	−	11.9316i	−0.758677	−	0.438022i
$743$	35.9353	−	20.7473i	1.31834	−	0.761144i	0.334878	−	0.942261i	$-0.391305\pi$
$743$	35.9353	−	20.7473i	1.31834	−	0.761144i	0.983461	+	0.181118i	$0.0579715\pi$
$744$	−1.64523	−	2.84962i	−0.0603170	−	0.104472i
$745$	−27.7436	+	0.331461i	−1.01645	+	0.0121438i
$746$	−6.13776			−0.224719
$747$	13.6037	−	7.85409i	0.497733	−	0.287366i
$748$			15.7268i			0.575028i
$749$	−40.6182	+	70.3527i	−1.48415	+	2.57063i
$750$	8.07188	−	0.289421i	0.294744	−	0.0105682i
$751$	10.4435			0.381088			0.190544	−	0.981679i	$-0.438975\pi$
$751$	10.4435			0.381088			0.190544	+	0.981679i	$0.438975\pi$
$752$	5.08091	+	2.93347i	0.185282	+	0.106973i
$753$	23.9191	−	13.8097i	0.871662	−	0.503254i
$754$	0.0731179			0.00266280
$755$	22.9283	+	38.6395i	0.834447	+	1.40624i
$756$	3.80076	−	6.58311i	0.138232	−	0.239425i
$757$	−3.24180	−	1.87165i	−0.117825	−	0.0680264i	0.439929	−	0.898032i	$-0.355004\pi$
$757$	−3.24180	−	1.87165i	−0.117825	−	0.0680264i	−0.557754	+	0.830006i	$0.688337\pi$
$758$	22.3823	−	12.9224i	0.812962	−	0.469364i
$759$	−1.27596	−	2.21002i	−0.0463144	−	0.0802188i
$760$	2.62040	−	1.55492i	0.0950519	−	0.0564029i
$761$	8.93943	−	15.4835i	0.324054	−	0.561278i	−0.657266	−	0.753658i	$-0.728287\pi$
$761$	8.93943	−	15.4835i	0.324054	−	0.561278i	0.981320	+	0.192380i	$0.0616207\pi$
$762$	−0.149345	−	0.0862242i	−0.00541019	−	0.00312357i
$763$		−	38.8256i		−	1.40558i
$764$	−4.20457	−	7.28253i	−0.152116	−	0.263473i
$765$	6.89900	−	4.09380i	0.249434	−	0.148012i
$766$	26.5479			0.959216
$767$			3.99083i			0.144100i
$768$	−9.80822	−	5.66278i	−0.353924	−	0.204338i
$769$	−5.93210			−0.213917			−0.106958	−	0.994263i	$-0.534111\pi$
$769$	−5.93210			−0.213917			−0.106958	+	0.994263i	$0.534111\pi$
$770$	24.6369	−	0.294343i	0.887851	−	0.0106074i
$771$	−7.33720			−0.264243
$772$	27.7950	−	16.0475i	1.00036	−	0.577561i
$773$	21.9887	−	12.6952i	0.790877	−	0.456613i	−0.0493940	−	0.998779i	$-0.515729\pi$
$773$	21.9887	−	12.6952i	0.790877	−	0.456613i	0.840271	+	0.542166i	$0.182396\pi$
$774$	4.05926	+	7.03085i	0.145907	+	0.252719i
$775$	6.54580	−	0.156431i	0.235132	−	0.00561918i
$776$	−17.6128			−0.632263
$777$	30.2008	−	8.15526i	1.08345	−	0.292568i
$778$			0.0202771i			0.000726970i
$779$	−0.851633	+	1.47507i	−0.0305129	+	0.0528499i
$780$	2.82514	−	0.0337527i	0.101156	−	0.00120854i
$781$	−6.19226	−	10.7253i	−0.221577	−	0.383782i
$782$	−1.93140	+	1.11509i	−0.0690667	+	0.0398757i
$783$		−	0.118396i		−	0.00423114i
$784$	11.0946	+	19.2163i	0.396234	+	0.686298i
$785$	27.5616	+	15.4767i	0.983715	+	0.552385i
$786$	−4.68392	+	8.11279i	−0.167070	+	0.289374i
$787$		−	20.7075i		−	0.738144i	−0.929401	−	0.369072i	$-0.879676\pi$
$787$		−	20.7075i		−	0.738144i	0.929401	−	0.369072i	$-0.120324\pi$
$788$		−	23.7816i		−	0.847185i
$789$	−7.66626	+	13.2783i	−0.272926	+	0.472722i
$790$	0.258647	+	21.6490i	0.00920224	+	0.770238i
$791$	26.1496			0.929773
$792$	−6.45360	−	3.72599i	−0.229319	−	0.132397i
$793$	4.08538	+	2.35869i	0.145076	+	0.0837597i
$794$	−1.69236	+	2.93125i	−0.0600596	+	0.104026i
$795$	−14.3609	+	0.171574i	−0.509330	+	0.00608511i
$796$	1.95127	+	3.37970i	0.0691610	+	0.119790i
$797$	−0.304121	−	0.175584i	−0.0107725	−	0.00621952i	0.494604	−	0.869118i	$-0.335313\pi$
$797$	−0.304121	−	0.175584i	−0.0107725	−	0.00621952i	−0.505377	+	0.862899i	$0.668646\pi$
$798$	−1.74494	−	1.00744i	−0.0617701	−	0.0356630i
$799$	9.22433	−	15.9770i	0.326333	−	0.565226i
$800$	24.9730	−	15.2250i	0.882929	−	0.538286i
$801$	3.47723	+	6.02274i	0.122862	+	0.212803i
$802$	−4.82147	−	2.78368i	−0.170252	−	0.0982951i
$803$		−	39.6632i		−	1.39968i
$804$	−8.08812			−0.285246
$805$	−5.04957	−	8.50969i	−0.177974	−	0.299927i
$806$	−0.808727			−0.0284862
$807$	10.7813	−	6.22460i	0.379520	−	0.219116i
$808$		−	29.1598i		−	1.02584i
$809$	−21.8260	−	37.8038i	−0.767362	−	1.32911i	−0.938989	−	0.343948i	$-0.888236\pi$
$809$	−21.8260	−	37.8038i	−0.767362	−	1.32911i	0.171627	−	0.985162i	$-0.445098\pi$
$810$	0.0192984	+	1.61530i	0.000678077	+	0.0567558i
$811$	11.6961	+	20.2583i	0.410706	+	0.711364i	0.994967	−	0.100202i	$-0.0319489\pi$
$811$	11.6961	+	20.2583i	0.410706	+	0.711364i	−0.584261	+	0.811566i	$0.698616\pi$
$812$	0.779417	+	0.449997i	0.0273522	+	0.0157918i
$813$		−	12.0731i		−	0.423422i
$814$	−3.39757	−	12.5820i	−0.119085	−	0.440997i
$815$	−29.3446	−	16.4779i	−1.02790	−	0.577194i
$816$	2.04660	−	3.54481i	0.0716452	−	0.124093i
$817$	−5.27787	+	3.04718i	−0.184649	+	0.106607i
$818$	9.90146	−	5.71661i	0.346196	−	0.199877i
$819$	−2.19815	−	3.80730i	−0.0768094	−	0.133038i
$820$	−5.08248	+	9.05114i	−0.177488	+	0.316079i
$821$	5.09656	+	8.82750i	0.177871	+	0.308082i	0.941151	−	0.337986i	$-0.109746\pi$
$821$	5.09656	+	8.82750i	0.177871	+	0.308082i	−0.763280	+	0.646068i	$0.776412\pi$
$822$		−	15.6981i		−	0.547534i
$823$	36.2306	+	20.9178i	1.26292	+	0.729147i	0.973638	−	0.228097i	$-0.0732503\pi$
$823$	36.2306	+	20.9178i	1.26292	+	0.729147i	0.289281	+	0.957244i	$0.406584\pi$
$824$	31.7887			1.10741
$825$	12.6612	−	7.71903i	0.440806	−	0.268742i
$826$	8.67254	−	15.0213i	0.301756	−	0.522657i
$827$	−13.8420	+	7.99165i	−0.481332	+	0.277897i	−0.720971	−	0.692965i	$-0.756304\pi$
$827$	−13.8420	+	7.99165i	−0.481332	+	0.277897i	0.239640	+	0.970862i	$0.422971\pi$
$828$			1.27185i			0.0441997i
$829$	−4.99007	+	8.64306i	−0.173312	+	0.300186i	−0.939576	−	0.342340i	$-0.888780\pi$
$829$	−4.99007	+	8.64306i	−0.173312	+	0.300186i	0.766264	+	0.642526i	$0.222114\pi$
$830$	−12.9492	−	21.8224i	−0.449474	−	0.757468i
$831$	0.713459	−	1.23575i	0.0247496	−	0.0428676i
$832$	−1.43928	+	0.830966i	−0.0498979	+	0.0288086i
$833$	60.4261	−	34.8870i	2.09364	−	1.20876i
$834$	−1.58901	+	2.75224i	−0.0550228	+	0.0953023i
$835$	22.6210	−	13.4231i	0.782831	−	0.464524i
$836$	1.18864	−	2.05879i	0.0411101	−	0.0712048i
$837$			1.30953i			0.0452641i
$838$	10.3807	−	5.99332i	0.358596	−	0.207036i
$839$	7.08453	−	12.2708i	0.244585	−	0.423634i	−0.717430	−	0.696631i	$-0.754682\pi$
$839$	7.08453	−	12.2708i	0.244585	−	0.423634i	0.962015	+	0.272997i	$0.0880149\pi$
$840$	−25.1947	−	14.1476i	−0.869301	−	0.488138i
$841$	−28.9860			−0.999517
$842$	−23.2474	−	13.4219i	−0.801159	−	0.462550i
$843$		−	30.9840i		−	1.06714i
$844$	−5.73677	−	9.93638i	−0.197468	−	0.342024i
$845$	−13.4326	+	23.9215i	−0.462096	+	0.822924i
$846$	1.85749	+	3.21726i	0.0638617	+	0.110612i
$847$	−9.81809	+	5.66848i	−0.337354	+	0.194771i
$848$	−6.34620	+	3.66398i	−0.217929	+	0.125822i
$849$	−7.79915	+	13.5085i	−0.267666	+	0.463611i
$850$	−6.74586	−	11.0649i	−0.231381	−	0.379525i
$851$	−3.69381	+	3.70820i	−0.126622	+	0.127116i
$852$			6.17231i			0.211460i
$853$	−9.27113	−	5.35269i	−0.317438	−	0.183273i	0.332812	−	0.942993i	$-0.392002\pi$
$853$	−9.27113	−	5.35269i	−0.317438	−	0.183273i	−0.650250	+	0.759720i	$0.725336\pi$
$854$	−10.2514	−	17.7560i	−0.350797	−	0.607599i
$855$	−1.21256	+	0.0144868i	−0.0414687	+	0.000495438i
$856$	−19.8454	−	34.3732i	−0.678301	−	1.17485i
$857$		−	19.5553i		−	0.667996i	−0.942574	−	0.333998i	$-0.891602\pi$
$857$		−	19.5553i		−	0.667996i	0.942574	−	0.333998i	$-0.108398\pi$
$858$	−1.58616	+	0.915771i	−0.0541507	+	0.0312639i
$859$	14.0603			0.479730			0.239865	−	0.970806i	$-0.422897\pi$
$859$	14.0603			0.479730			0.239865	+	0.970806i	$0.422897\pi$
$860$	−31.9416	+	18.9539i	−1.08920	+	0.646321i
$861$	16.1523			0.550468
$862$			17.7877i			0.605852i
$863$	−3.47281	−	2.00503i	−0.118216	−	0.0682520i	0.439726	−	0.898132i	$-0.355076\pi$
$863$	−3.47281	−	2.00503i	−0.118216	−	0.0682520i	−0.557942	+	0.829880i	$0.688409\pi$
$864$	2.92481	+	5.06592i	0.0995041	+	0.172346i
$865$	26.9635	+	15.1408i	0.916785	+	0.514802i
$866$	7.66999	−	13.2848i	0.260637	−	0.451436i
$867$	3.57574	+	2.06445i	0.121438	+	0.0701125i
$868$	−8.62081	−	4.97723i	−0.292609	−	0.168938i
$869$	19.8741	+	34.4230i	0.674183	+	1.16772i
$870$	−0.191246	+	0.00228486i	−0.00648384	+	7.74641e-5i
$871$	−2.33886	+	4.05102i	−0.0792491	+	0.137264i
$872$	16.4281	+	9.48477i	0.556326	+	0.321195i
$873$	6.07044	+	3.50477i	0.205453	+	0.118618i
$874$	0.337119			0.0114032
$875$	48.7329	−	30.5150i	1.64747	−	1.03160i
$876$	−9.88384	+	17.1193i	−0.333944	+	0.578408i
$877$		−	20.9691i		−	0.708077i	−0.935231	−	0.354039i	$-0.884808\pi$
$877$		−	20.9691i		−	0.708077i	0.935231	−	0.354039i	$-0.115192\pi$
$878$			2.61320i			0.0881913i
$879$	13.9310	−	24.1293i	0.469883	−	0.813860i
$880$	3.70449	−	6.59715i	0.124878	−	0.222390i
$881$	24.3315	+	42.1433i	0.819748	+	1.41984i	0.905868	+	0.423560i	$0.139220\pi$
$881$	24.3315	+	42.1433i	0.819748	+	1.41984i	−0.0861206	+	0.996285i	$0.527447\pi$
$882$			14.0503i			0.473097i
$883$	−14.3412	+	8.27990i	−0.482620	+	0.278641i	−0.721508	−	0.692406i	$-0.756551\pi$
$883$	−14.3412	+	8.27990i	−0.482620	+	0.278641i	0.238888	+	0.971047i	$0.423217\pi$
$884$	−2.26654	−	3.92577i	−0.0762321	−	0.132038i
$885$	−0.124710	−	10.4383i	−0.00419207	−	0.350881i
$886$	−0.532720	+	0.922699i	−0.0178971	+	0.0309987i
$887$		−	5.60632i		−	0.188242i	−0.995561	−	0.0941209i	$-0.969996\pi$
$887$		−	5.60632i		−	0.188242i	0.995561	−	0.0941209i	$-0.0300040\pi$
$888$	−3.92710	+	14.7710i	−0.131785	+	0.495682i
$889$	−1.22761			−0.0411727
$890$	9.66142	−	5.73299i	0.323851	−	0.192170i
$891$	1.48287	+	2.56840i	0.0496779	+	0.0860446i
$892$	4.25197	−	2.45488i	0.142367	−	0.0821953i
$893$	−2.41511	+	1.39437i	−0.0808186	+	0.0466607i
$894$	−8.96413			−0.299805
$895$	−15.7262	+	0.187886i	−0.525670	+	0.00628033i
$896$	−52.9439			−1.76873
$897$	0.637017	+	0.367782i	0.0212694	+	0.0122799i
$898$		−	3.22884i		−	0.107748i
$899$	−0.155044			−0.00517102
$900$	−7.38833	+	0.176566i	−0.246278	+	0.00588553i
$901$	11.5214	+	19.9557i	0.383835	+	0.664821i
$902$		−	6.72921i		−	0.224058i
$903$	50.0506	+	28.8967i	1.66558	+	0.961623i
$904$	−6.38814	+	11.0646i	−0.212466	+	0.368002i
$905$	18.0615	+	30.4377i	0.600384	+	1.01178i
$906$	7.25808	+	12.5714i	0.241134	+	0.417656i
$907$	−39.1906	+	22.6267i	−1.30130	+	0.751307i	−0.980627	−	0.195883i	$-0.937243\pi$
$907$	−39.1906	+	22.6267i	−1.30130	+	0.751307i	−0.320674	+	0.947189i	$0.603910\pi$
$908$	9.95208	+	5.74584i	0.330272	+	0.190682i
$909$	−5.80249	+	10.0502i	−0.192457	+	0.333345i
$910$	−6.10751	+	3.62414i	−0.202462	+	0.120139i
$911$	−27.6208			−0.915119			−0.457560	−	0.889179i	$-0.651276\pi$
$911$	−27.6208			−0.915119			−0.457560	+	0.889179i	$0.651276\pi$
$912$	−0.535839	+	0.309367i	−0.0177434	+	0.0102442i
$913$	−40.3449	−	23.2931i	−1.33522	−	0.770890i
$914$	16.0774			0.531794
$915$	−10.7593	−	6.04169i	−0.355693	−	0.199732i
$916$	14.1900	−	24.5778i	0.468852	−	0.812075i
$917$			66.6870i			2.20220i
$918$	2.24459	−	1.29592i	0.0740826	−	0.0427716i
$919$	−32.9226			−1.08602			−0.543009	−	0.839727i	$-0.682715\pi$
$919$	−32.9226			−1.08602			−0.543009	+	0.839727i	$0.682715\pi$
$920$	4.83424	−	0.0577559i	0.159380	−	0.00190416i
$921$	7.81344	+	13.5333i	0.257462	+	0.445937i
$922$	−6.93578	+	4.00437i	−0.228418	+	0.131877i
$923$	3.09146	+	1.78486i	0.101757	+	0.0587493i
$924$	−22.5441			−0.741646
$925$	−22.0543	−	20.9430i	−0.725139	−	0.688602i
$926$	−7.86860			−0.258578
$927$	−10.9563	−	6.32563i	−0.359853	−	0.207761i
$928$	−0.599787	+	0.346287i	−0.0196890	+	0.0113674i
$929$	−17.5606	−	30.4158i	−0.576144	−	0.997911i	−0.995916	−	0.0902815i	$-0.971223\pi$
$929$	−17.5606	−	30.4158i	−0.576144	−	0.997911i	0.419772	−	0.907630i	$-0.362110\pi$
$930$	2.11529	−	0.0252719i	0.0693631	−	0.000828699i
$931$	−10.5472			−0.345669
$932$	14.3710	−	8.29708i	0.470736	−	0.271780i
$933$			12.1510i			0.397807i
$934$	−7.10234	+	12.3016i	−0.232396	+	0.402521i
$935$	−20.7448	−	11.6488i	−0.678428	−	0.380958i
$936$	2.14796			0.0702081
$937$	−2.56206	−	1.47920i	−0.0836987	−	0.0483235i	0.457567	−	0.889175i	$-0.348721\pi$
$937$	−2.56206	−	1.47920i	−0.0836987	−	0.0483235i	−0.541265	+	0.840852i	$0.682054\pi$
$938$	17.6067	−	10.1652i	0.574879	−	0.331906i
$939$	−18.6309			−0.607997
$940$	−14.6162	+	8.67314i	−0.476729	+	0.282887i
$941$	5.32983	−	9.23154i	0.173748	−	0.300940i	−0.765980	−	0.642865i	$-0.777746\pi$
$941$	5.32983	−	9.23154i	0.173748	−	0.300940i	0.939727	+	0.341925i	$0.111079\pi$
$942$	8.84431	+	5.10626i	0.288163	+	0.166371i
$943$	−2.34044	+	1.35126i	−0.0762153	+	0.0440029i
$944$	−2.66318	−	4.61277i	−0.0866793	−	0.150133i
$945$	5.86840	+	9.88961i	0.190899	+	0.321709i
$946$	12.0387	−	20.8516i	0.391412	−	0.677945i
$947$	16.3991	+	9.46800i	0.532898	+	0.307669i	0.742196	−	0.670183i	$-0.233785\pi$
$947$	16.3991	+	9.46800i	0.532898	+	0.307669i	−0.209298	+	0.977852i	$0.567118\pi$
$948$		−	19.8101i		−	0.643401i
$949$	5.71626	+	9.90085i	0.185558	+	0.321395i
$950$	0.0468010	+	1.95837i	0.00151843	+	0.0635379i
$951$	23.5195			0.762671
$952$			46.3604i			1.50255i
$953$	37.2033	+	21.4793i	1.20513	+	0.695784i	0.961692	−	0.274132i	$-0.0883905\pi$
$953$	37.2033	+	21.4793i	1.20513	+	0.695784i	0.243441	+	0.969916i	$0.421724\pi$
$954$	−4.64011			−0.150229
$955$	12.7205	−	0.151976i	0.411627	−	0.00491782i
$956$	−41.6630			−1.34748
$957$	−0.304089	+	0.175566i	−0.00982982	+	0.00567525i
$958$	15.3588	−	8.86742i	0.496221	−	0.286493i
$959$	−55.8752	−	96.7786i	−1.80430	−	3.12514i
$960$	3.73857	−	2.21843i	0.120662	−	0.0715997i
$961$	−29.2851			−0.944681
$962$	2.66142	+	2.65109i	0.0858077	+	0.0854745i
$963$			15.7961i			0.509022i
$964$	14.2770	−	24.7285i	0.459832	−	0.796452i
$965$	0.580041	+	48.5501i	0.0186722	+	1.56288i
$966$	−1.59847	−	2.76863i	−0.0514299	−	0.0890791i
$967$	6.70289	−	3.86992i	0.215551	−	0.124448i	−0.388338	−	0.921517i	$-0.626951\pi$
$967$	6.70289	−	3.86992i	0.215551	−	0.124448i	0.603888	+	0.797069i	$0.293617\pi$
$968$		−	5.53905i		−	0.178032i
$969$	0.972809	+	1.68495i	0.0312511	+	0.0541285i
$970$	5.54410	−	9.87321i	0.178010	−	0.317010i
$971$	−9.39783	+	16.2775i	−0.301591	+	0.522371i	−0.976496	−	0.215533i	$-0.930851\pi$
$971$	−9.39783	+	16.2775i	−0.301591	+	0.522371i	0.674906	+	0.737904i	$0.264184\pi$
$972$		−	1.47809i		−	0.0474097i
$973$			22.6234i			0.725272i
$974$	−4.27239	+	7.39999i	−0.136896	+	0.237111i
$975$	−2.04806	+	3.75158i	−0.0655904	+	0.120147i
$976$	−6.29608			−0.201532
$977$	−2.24200	−	1.29442i	−0.0717279	−	0.0414121i	0.463707	−	0.885989i	$-0.346519\pi$
$977$	−2.24200	−	1.29442i	−0.0717279	−	0.0414121i	−0.535435	+	0.844576i	$0.679852\pi$
$978$	−9.41646	−	5.43660i	−0.301105	−	0.173843i
$979$	10.3125	−	17.8618i	0.329590	−	0.570867i
$980$	−64.2747	+	0.767907i	−2.05318	+	0.0245299i
$981$	−3.77474	−	6.53805i	−0.120518	−	0.208744i
$982$	13.0635	+	7.54219i	0.416872	+	0.240681i
$983$	−11.7780	−	6.80005i	−0.375661	−	0.216888i	0.300268	−	0.953855i	$-0.402924\pi$
$983$	−11.7780	−	6.80005i	−0.375661	−	0.216888i	−0.675929	+	0.736967i	$0.736257\pi$
$984$	−3.94587	+	6.83444i	−0.125790	+	0.217874i
$985$	31.3698	+	17.6151i	0.999524	+	0.561263i
$986$	0.153432	+	0.265752i	0.00488626	+	0.00846326i
$987$	22.9028	+	13.2229i	0.729003	+	0.420890i
$988$			0.685229i			0.0218000i
$989$	−9.66970			−0.307478
$990$	4.12012	−	2.44484i	0.130946	−	0.0777021i
$991$	−10.4238			−0.331122			−0.165561	−	0.986200i	$-0.552943\pi$
$991$	−10.4238			−0.331122			−0.165561	+	0.986200i	$0.552943\pi$
$992$	6.63400	−	3.83014i	0.210630	−	0.121607i
$993$		−	11.8172i		−	0.375006i
$994$	−7.75741	−	13.4362i	−0.246050	−	0.426171i
$995$	−5.90339	+	0.0705294i	−0.187150	+	0.00223593i
$996$	11.6090	+	20.1074i	0.367846	+	0.637128i
$997$	−39.3454	−	22.7161i	−1.24608	−	0.719425i	−0.275756	−	0.961228i	$-0.588928\pi$
$997$	−39.3454	−	22.7161i	−1.24608	−	0.719425i	−0.970325	+	0.241803i	$0.922261\pi$
$998$			16.0505i			0.508069i
$999$	4.29279	−	4.30952i	0.135818	−	0.136347i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	555.2.bb.a.454.15	✓	72
5.4	even	2	inner	555.2.bb.a.454.22	yes	72
37.26	even	3	inner	555.2.bb.a.544.22	yes	72
185.174	even	6	inner	555.2.bb.a.544.15	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
555.2.bb.a.454.15	✓	72	1.1	even	1	trivial
555.2.bb.a.454.22	yes	72	5.4	even	2	inner
555.2.bb.a.544.15	yes	72	185.174	even	6	inner
555.2.bb.a.544.22	yes	72	37.26	even	3	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:	\( N \)	\(=\)	\( 555 = 3 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	555.bb (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.625647 - 0.361218i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-0.739044 - 1.28006i) q^{4} +(2.23591 - 0.0267130i) q^{5} +0.722435 q^{6} +(4.45380 - 2.57140i) q^{7} +2.51269i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.625647 - 0.361218i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-0.739044 - 1.28006i) q^{4} +(2.23591 - 0.0267130i) q^{5} +0.722435 q^{6} +(4.45380 - 2.57140i) q^{7} +2.51269i q^{8} +(0.500000 - 0.866025i) q^{9} +(-1.40854 - 0.790937i) q^{10} -2.96573 q^{11} +(1.28006 + 0.739044i) q^{12} +(0.740315 - 0.427421i) q^{13} -3.71535 q^{14} +(-1.92300 + 1.14109i) q^{15} +(-0.570459 + 0.988063i) q^{16} +(3.10698 + 1.79382i) q^{17} +(-0.625647 + 0.361218i) q^{18} +(-0.271156 - 0.469656i) q^{19} +(-1.68663 - 2.84236i) q^{20} +(-2.57140 + 4.45380i) q^{21} +(1.85550 + 1.07127i) q^{22} -0.860468i q^{23} +(-1.25635 - 2.17606i) q^{24} +(4.99857 - 0.119456i) q^{25} -0.617568 q^{26} +1.00000i q^{27} +(-6.58311 - 3.80076i) q^{28} -0.118396 q^{29} +(1.61530 - 0.0192984i) q^{30} +1.30953 q^{31} +(5.06592 - 2.92481i) q^{32} +(2.56840 - 1.48287i) q^{33} +(-1.29592 - 2.24459i) q^{34} +(9.88961 - 5.86840i) q^{35} -1.47809 q^{36} +(-4.30952 - 4.29279i) q^{37} +0.391786i q^{38} +(-0.427421 + 0.740315i) q^{39} +(0.0671216 + 5.61815i) q^{40} +(-1.57037 - 2.71997i) q^{41} +(3.21758 - 1.85767i) q^{42} -11.2377i q^{43} +(2.19181 + 3.79632i) q^{44} +(1.09482 - 1.94971i) q^{45} +(-0.310816 + 0.538349i) q^{46} -5.14229i q^{47} -1.14092i q^{48} +(9.72425 - 16.8429i) q^{49} +(-3.17049 - 1.73084i) q^{50} -3.58763 q^{51} +(-1.09425 - 0.631766i) q^{52} +(5.56237 + 3.21143i) q^{53} +(0.361218 - 0.625647i) q^{54} +(-6.63111 + 0.0792236i) q^{55} +(6.46115 + 11.1910i) q^{56} +(0.469656 + 0.271156i) q^{57} +(0.0740744 + 0.0427669i) q^{58} +(-2.33425 + 4.04304i) q^{59} +(2.88184 + 1.61824i) q^{60} +(2.75922 + 4.77910i) q^{61} +(-0.819307 - 0.473027i) q^{62} -5.14281i q^{63} -1.94414 q^{64} +(1.64386 - 0.975451i) q^{65} -2.14255 q^{66} +(-4.73891 + 2.73601i) q^{67} -5.30283i q^{68} +(0.430234 + 0.745187i) q^{69} +(-8.30717 + 0.0992481i) q^{70} +(2.08794 + 3.61641i) q^{71} +(2.17606 + 1.25635i) q^{72} +13.3738i q^{73} +(1.14561 + 4.24245i) q^{74} +(-4.26916 + 2.60274i) q^{75} +(-0.400793 + 0.694193i) q^{76} +(-13.2088 + 7.62610i) q^{77} +(0.534830 - 0.308784i) q^{78} +(-6.70125 - 11.6069i) q^{79} +(-1.24910 + 2.22446i) q^{80} +(-0.500000 - 0.866025i) q^{81} +2.26899i q^{82} +(13.6037 + 7.85409i) q^{83} +7.60152 q^{84} +(6.99484 + 3.92781i) q^{85} +(-4.05926 + 7.03085i) q^{86} +(0.102534 - 0.0591982i) q^{87} -7.45198i q^{88} +(-3.47723 + 6.02274i) q^{89} +(-1.38924 + 0.824362i) q^{90} +(2.19815 - 3.80730i) q^{91} +(-1.10145 + 0.635923i) q^{92} +(-1.13409 + 0.654767i) q^{93} +(-1.85749 + 3.21726i) q^{94} +(-0.618827 - 1.04287i) q^{95} +(-2.92481 + 5.06592i) q^{96} +7.00954i q^{97} +(-12.1679 + 7.02514i) q^{98} +(-1.48287 + 2.56840i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q + 32 q^{4} - 2 q^{5} + 36 q^{9}+O(q^{10}) \) 72 * q + 32 * q^4 - 2 * q^5 + 36 * q^9	\( 72 q + 32 q^{4} - 2 q^{5} + 36 q^{9} - 8 q^{11} - 16 q^{14} - 24 q^{16} + 4 q^{19} + 4 q^{20} + 12 q^{21} + 10 q^{25} + 24 q^{26} + 16 q^{29} + 12 q^{30} + 24 q^{31} - 44 q^{34} - 2 q^{35} + 64 q^{36} - 8 q^{39} + 46 q^{40} - 48 q^{41} - 8 q^{44} - 4 q^{45} - 64 q^{46} + 32 q^{49} - 46 q^{50} - 8 q^{51} - 12 q^{55} - 72 q^{56} + 32 q^{59} - 68 q^{60} - 8 q^{61} - 136 q^{64} - 42 q^{65} - 32 q^{66} - 4 q^{69} + 4 q^{70} + 12 q^{71} - 96 q^{74} - 8 q^{75} + 8 q^{76} - 8 q^{79} - 44 q^{80} - 36 q^{81} + 136 q^{84} + 4 q^{85} + 8 q^{86} + 8 q^{91} - 28 q^{94} + 18 q^{95} - 20 q^{96} - 4 q^{99}+O(q^{100}) \) 72 * q + 32 * q^4 - 2 * q^5 + 36 * q^9 - 8 * q^11 - 16 * q^14 - 24 * q^16 + 4 * q^19 + 4 * q^20 + 12 * q^21 + 10 * q^25 + 24 * q^26 + 16 * q^29 + 12 * q^30 + 24 * q^31 - 44 * q^34 - 2 * q^35 + 64 * q^36 - 8 * q^39 + 46 * q^40 - 48 * q^41 - 8 * q^44 - 4 * q^45 - 64 * q^46 + 32 * q^49 - 46 * q^50 - 8 * q^51 - 12 * q^55 - 72 * q^56 + 32 * q^59 - 68 * q^60 - 8 * q^61 - 136 * q^64 - 42 * q^65 - 32 * q^66 - 4 * q^69 + 4 * q^70 + 12 * q^71 - 96 * q^74 - 8 * q^75 + 8 * q^76 - 8 * q^79 - 44 * q^80 - 36 * q^81 + 136 * q^84 + 4 * q^85 + 8 * q^86 + 8 * q^91 - 28 * q^94 + 18 * q^95 - 20 * q^96 - 4 * q^99

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