LMFDB - Embedded newform 273.2.bz.a.73.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(31,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 2, 9]))

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

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

chi := DirichletCharacter("273.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bz (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			73.7
Character	$\chi$	$=$	273.73
Dual form			273.2.bz.a.187.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.345245 - 1.28847i) q^{2} +(0.866025 + 0.500000i) q^{3} +(0.191081 + 0.110321i) q^{4} +(1.14557 + 0.306956i) q^{5} +(0.943228 - 0.943228i) q^{6} +(-2.38403 - 1.14734i) q^{7} +(2.09457 - 2.09457i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(0.345245 - 1.28847i) q^{2} +(0.866025 + 0.500000i) q^{3} +(0.191081 + 0.110321i) q^{4} +(1.14557 + 0.306956i) q^{5} +(0.943228 - 0.943228i) q^{6} +(-2.38403 - 1.14734i) q^{7} +(2.09457 - 2.09457i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.791009 - 1.37007i) q^{10} +(0.778620 + 2.90585i) q^{11} +(0.110321 + 0.191081i) q^{12} +(0.759635 - 3.52462i) q^{13} +(-2.30140 + 2.67565i) q^{14} +(0.838619 + 0.838619i) q^{15} +(-1.75502 - 3.03978i) q^{16} +(-0.562812 + 0.974818i) q^{17} +(1.28847 - 0.345245i) q^{18} +(6.38112 + 1.70982i) q^{19} +(0.185034 + 0.185034i) q^{20} +(-1.49096 - 2.18564i) q^{21} +4.01292 q^{22} +(-4.76348 + 2.75020i) q^{23} +(2.86124 - 0.766666i) q^{24} +(-3.11201 - 1.79672i) q^{25} +(-4.27912 - 2.19563i) q^{26} +1.00000i q^{27} +(-0.328968 - 0.482244i) q^{28} -6.66855 q^{29} +(1.37007 - 0.791009i) q^{30} +(0.678255 + 2.53128i) q^{31} +(1.19989 - 0.321510i) q^{32} +(-0.778620 + 2.90585i) q^{33} +(1.06172 + 1.06172i) q^{34} +(-2.37890 - 2.04616i) q^{35} +0.220642i q^{36} +(-9.55547 - 2.56038i) q^{37} +(4.40610 - 7.63159i) q^{38} +(2.42017 - 2.67259i) q^{39} +(3.04243 - 1.75655i) q^{40} +(-3.47031 + 3.47031i) q^{41} +(-3.33089 + 1.16648i) q^{42} -10.3373i q^{43} +(-0.171796 + 0.641152i) q^{44} +(0.306956 + 1.14557i) q^{45} +(1.89899 + 7.08712i) q^{46} +(-1.07222 + 4.00158i) q^{47} -3.51003i q^{48} +(4.36721 + 5.47060i) q^{49} +(-3.38943 + 3.38943i) q^{50} +(-0.974818 + 0.562812i) q^{51} +(0.533992 - 0.589686i) q^{52} +(-4.28643 + 7.42432i) q^{53} +(1.28847 + 0.345245i) q^{54} +3.56787i q^{55} +(-7.39671 + 2.59033i) q^{56} +(4.67130 + 4.67130i) q^{57} +(-2.30229 + 8.59225i) q^{58} +(9.06934 - 2.43012i) q^{59} +(0.0677273 + 0.252762i) q^{60} +(-8.03666 + 4.63997i) q^{61} +3.49565 q^{62} +(-0.198388 - 2.63830i) q^{63} -8.67709i q^{64} +(1.95212 - 3.80454i) q^{65} +(3.47529 + 2.00646i) q^{66} +(-3.31742 + 0.888900i) q^{67} +(-0.215086 + 0.124180i) q^{68} -5.50040 q^{69} +(-3.45772 + 2.35873i) q^{70} +(7.61672 + 7.61672i) q^{71} +(2.86124 + 0.766666i) q^{72} +(10.6255 - 2.84709i) q^{73} +(-6.59796 + 11.4280i) q^{74} +(-1.79672 - 3.11201i) q^{75} +(1.03068 + 1.03068i) q^{76} +(1.47775 - 7.82098i) q^{77} +(-2.60801 - 4.04103i) q^{78} +(2.95722 + 5.12206i) q^{79} +(-1.07742 - 4.02100i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(3.27330 + 5.66951i) q^{82} +(-0.0499072 + 0.0499072i) q^{83} +(-0.0437727 - 0.582120i) q^{84} +(-0.943969 + 0.943969i) q^{85} +(-13.3194 - 3.56891i) q^{86} +(-5.77513 - 3.33427i) q^{87} +(7.71739 + 4.45563i) q^{88} +(3.65173 - 13.6284i) q^{89} +1.58202 q^{90} +(-5.85494 + 7.53125i) q^{91} -1.21362 q^{92} +(-0.678255 + 2.53128i) q^{93} +(4.78575 + 2.76305i) q^{94} +(6.78521 + 3.91744i) q^{95} +(1.19989 + 0.321510i) q^{96} +(2.73604 - 2.73604i) q^{97} +(8.55648 - 3.73834i) q^{98} +(-2.12723 + 2.12723i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q - 6 * q^7 + 18 * q^9	$ 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.345245	−	1.28847i	0.244125	−	0.911088i	−0.729696	−	0.683772i	$-0.760338\pi$
$2$	0.345245	−	1.28847i	0.244125	−	0.911088i	0.973821	−	0.227316i	$-0.0729951\pi$
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$4$	0.191081	+	0.110321i	0.0955407	+	0.0551605i
$5$	1.14557	+	0.306956i	0.512316	+	0.137275i	0.505710	−	0.862703i	$-0.331231\pi$
$5$	1.14557	+	0.306956i	0.512316	+	0.137275i	0.00660617	+	0.999978i	$0.497897\pi$
$6$	0.943228	−	0.943228i	0.385071	−	0.385071i
$7$	−2.38403	−	1.14734i	−0.901079	−	0.433655i
$7$	−2.38403	−	1.14734i	−0.901079	−	0.433655i
$8$	2.09457	−	2.09457i	0.740543	−	0.740543i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	0.791009	−	1.37007i	0.250139	−	0.433253i
$11$	0.778620	+	2.90585i	0.234763	+	0.876147i	0.978256	+	0.207403i	$0.0665010\pi$
$11$	0.778620	+	2.90585i	0.234763	+	0.876147i	−0.743493	+	0.668744i	$0.766832\pi$
$12$	0.110321	+	0.191081i	0.0318469	+	0.0551605i
$13$	0.759635	−	3.52462i	0.210685	−	0.977554i
$13$	0.759635	−	3.52462i	0.210685	−	0.977554i
$14$	−2.30140	+	2.67565i	−0.615074	+	0.715097i
$15$	0.838619	+	0.838619i	0.216530	+	0.216530i
$16$	−1.75502	−	3.03978i	−0.438754	−	0.759945i
$17$	−0.562812	+	0.974818i	−0.136502	+	0.236428i	−0.926170	−	0.377106i	$-0.876919\pi$
$17$	−0.562812	+	0.974818i	−0.136502	+	0.236428i	0.789668	+	0.613534i	$0.210253\pi$
$18$	1.28847	−	0.345245i	0.303696	−	0.0813751i
$19$	6.38112	+	1.70982i	1.46393	+	0.392259i	0.900845	−	0.434141i	$-0.142948\pi$
$19$	6.38112	+	1.70982i	1.46393	+	0.392259i	0.563084	+	0.826400i	$0.309615\pi$
$20$	0.185034	+	0.185034i	0.0413749	+	0.0413749i
$21$	−1.49096	−	2.18564i	−0.325354	−	0.476946i
$22$	4.01292			0.855558
$23$	−4.76348	+	2.75020i	−0.993255	+	0.573456i	−0.906246	−	0.422751i	$-0.861064\pi$
$23$	−4.76348	+	2.75020i	−0.993255	+	0.573456i	−0.0870094	+	0.996207i	$0.527731\pi$
$24$	2.86124	−	0.766666i	0.584048	−	0.156495i
$25$	−3.11201	−	1.79672i	−0.622402	−	0.359344i
$26$	−4.27912	−	2.19563i	−0.839204	−	0.430598i
$27$			1.00000i			0.192450i
$28$	−0.328968	−	0.482244i	−0.0621692	−	0.0911356i
$29$	−6.66855			−1.23832			−0.619159	−	0.785266i	$-0.712526\pi$
$29$	−6.66855			−1.23832			−0.619159	+	0.785266i	$0.712526\pi$
$30$	1.37007	−	0.791009i	0.250139	−	0.144418i
$31$	0.678255	+	2.53128i	0.121818	+	0.454632i	0.999706	−	0.0242341i	$-0.00771472\pi$
$31$	0.678255	+	2.53128i	0.121818	+	0.454632i	−0.877888	+	0.478866i	$0.841048\pi$
$32$	1.19989	−	0.321510i	0.212113	−	0.0568354i
$33$	−0.778620	+	2.90585i	−0.135540	+	0.505843i
$34$	1.06172	+	1.06172i	0.182083	+	0.182083i
$35$	−2.37890	−	2.04616i	−0.402108	−	0.345864i
$36$			0.220642i			0.0367736i
$37$	−9.55547	−	2.56038i	−1.57091	−	0.420924i	−0.634813	−	0.772666i	$-0.718923\pi$
$37$	−9.55547	−	2.56038i	−1.57091	−	0.420924i	−0.936097	+	0.351742i	$0.885589\pi$
$38$	4.40610	−	7.63159i	0.714764	−	1.23801i
$39$	2.42017	−	2.67259i	0.387538	−	0.427958i
$40$	3.04243	−	1.75655i	0.481050	−	0.277734i
$41$	−3.47031	+	3.47031i	−0.541972	+	0.541972i	−0.924107	−	0.382135i	$-0.875189\pi$
$41$	−3.47031	+	3.47031i	−0.541972	+	0.541972i	0.382135	+	0.924107i	$0.375189\pi$
$42$	−3.33089	+	1.16648i	−0.513968	+	0.179992i
$43$		−	10.3373i		−	1.57643i	−0.615403	−	0.788213i	$-0.711007\pi$
$43$		−	10.3373i		−	1.57643i	0.615403	−	0.788213i	$-0.288993\pi$
$44$	−0.171796	+	0.641152i	−0.0258992	+	0.0966573i
$45$	0.306956	+	1.14557i	0.0457583	+	0.170772i
$46$	1.89899	+	7.08712i	0.279990	+	1.04494i
$47$	−1.07222	+	4.00158i	−0.156399	+	0.583690i	0.842582	+	0.538568i	$0.181034\pi$
$47$	−1.07222	+	4.00158i	−0.156399	+	0.583690i	−0.998981	+	0.0451224i	$0.985632\pi$
$48$		−	3.51003i		−	0.506630i
$49$	4.36721	+	5.47060i	0.623887	+	0.781514i
$50$	−3.38943	+	3.38943i	−0.479338	+	0.479338i
$51$	−0.974818	+	0.562812i	−0.136502	+	0.0788094i
$52$	0.533992	−	0.589686i	0.0740513	−	0.0817747i
$53$	−4.28643	+	7.42432i	−0.588787	+	1.01981i	0.405605	+	0.914048i	$0.367061\pi$
$53$	−4.28643	+	7.42432i	−0.588787	+	1.01981i	−0.994392	+	0.105760i	$0.966273\pi$
$54$	1.28847	+	0.345245i	0.175339	+	0.0469820i
$55$			3.56787i			0.481091i
$56$	−7.39671	+	2.59033i	−0.988428	+	0.346148i
$57$	4.67130	+	4.67130i	0.618729	+	0.618729i
$58$	−2.30229	+	8.59225i	−0.302305	+	1.12822i
$59$	9.06934	−	2.43012i	1.18073	−	0.316375i	0.385513	−	0.922702i	$-0.374025\pi$
$59$	9.06934	−	2.43012i	1.18073	−	0.316375i	0.795215	+	0.606327i	$0.207358\pi$
$60$	0.0677273	+	0.252762i	0.00874355	+	0.0326314i
$61$	−8.03666	+	4.63997i	−1.02899	+	0.594087i	−0.916695	−	0.399588i	$-0.869153\pi$
$61$	−8.03666	+	4.63997i	−1.02899	+	0.594087i	−0.112294	+	0.993675i	$0.535820\pi$
$62$	3.49565			0.443948
$63$	−0.198388	−	2.63830i	−0.0249946	−	0.332395i
$64$		−	8.67709i		−	1.08464i
$65$	1.95212	−	3.80454i	0.242131	−	0.471895i
$66$	3.47529	+	2.00646i	0.427779	+	0.246978i
$67$	−3.31742	+	0.888900i	−0.405287	+	0.108596i	−0.455703	−	0.890132i	$-0.650612\pi$
$67$	−3.31742	+	0.888900i	−0.405287	+	0.108596i	0.0504156	+	0.998728i	$0.483945\pi$
$68$	−0.215086	+	0.124180i	−0.0260830	+	0.0150590i
$69$	−5.50040			−0.662170
$70$	−3.45772	+	2.35873i	−0.413277	+	0.281922i
$71$	7.61672	+	7.61672i	0.903938	+	0.903938i	0.995774	−	0.0918357i	$-0.0292734\pi$
$71$	7.61672	+	7.61672i	0.903938	+	0.903938i	−0.0918357	+	0.995774i	$0.529273\pi$
$72$	2.86124	+	0.766666i	0.337200	+	0.0903525i
$73$	10.6255	−	2.84709i	1.24362	−	0.333227i	0.423752	−	0.905778i	$-0.360713\pi$
$73$	10.6255	−	2.84709i	1.24362	−	0.333227i	0.819869	+	0.572551i	$0.194046\pi$
$74$	−6.59796	+	11.4280i	−0.766998	+	1.32848i
$75$	−1.79672	−	3.11201i	−0.207467	−	0.359344i
$76$	1.03068	+	1.03068i	0.118228	+	0.118228i
$77$	1.47775	−	7.82098i	0.168405	−	0.891283i
$78$	−2.60801	−	4.04103i	−0.295299	−	0.457557i
$79$	2.95722	+	5.12206i	0.332714	+	0.576277i	0.983043	−	0.183376i	$-0.0587024\pi$
$79$	2.95722	+	5.12206i	0.332714	+	0.576277i	−0.650329	+	0.759652i	$0.725369\pi$
$80$	−1.07742	−	4.02100i	−0.120460	−	0.449562i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	3.27330	+	5.66951i	0.361475	+	0.626093i
$83$	−0.0499072	+	0.0499072i	−0.00547802	+	0.00547802i	−0.709840	−	0.704362i	$-0.751233\pi$
$83$	−0.0499072	+	0.0499072i	−0.00547802	+	0.00547802i	0.704362	+	0.709840i	$0.251233\pi$
$84$	−0.0437727	−	0.582120i	−0.00477600	−	0.0635145i
$85$	−0.943969	+	0.943969i	−0.102388	+	0.102388i
$86$	−13.3194	−	3.56891i	−1.43626	−	0.384846i
$87$	−5.77513	−	3.33427i	−0.619159	−	0.357472i
$88$	7.71739	+	4.45563i	0.822676	+	0.474972i
$89$	3.65173	−	13.6284i	0.387082	−	1.44461i	−0.447776	−	0.894146i	$-0.647784\pi$
$89$	3.65173	−	13.6284i	0.387082	−	1.44461i	0.834858	−	0.550465i	$-0.185549\pi$
$90$	1.58202			0.166759
$91$	−5.85494	+	7.53125i	−0.613765	+	0.789489i
$92$	−1.21362			−0.126528
$93$	−0.678255	+	2.53128i	−0.0703318	+	0.262482i
$94$	4.78575	+	2.76305i	0.493612	+	0.284987i
$95$	6.78521	+	3.91744i	0.696147	+	0.401921i
$96$	1.19989	+	0.321510i	0.122463	+	0.0328140i
$97$	2.73604	−	2.73604i	0.277802	−	0.277802i	−0.554429	−	0.832231i	$-0.687063\pi$
$97$	2.73604	−	2.73604i	0.277802	−	0.277802i	0.832231	+	0.554429i	$0.187063\pi$
$98$	8.55648	−	3.73834i	0.864335	−	0.377629i
$99$	−2.12723	+	2.12723i	−0.213795	+	0.213795i
$100$	−0.396431	−	0.686639i	−0.0396431	−	0.0686639i
$101$	−3.81032	+	6.59966i	−0.379141	+	0.656691i	−0.990937	−	0.134324i	$-0.957114\pi$
$101$	−3.81032	+	6.59966i	−0.379141	+	0.656691i	0.611797	+	0.791015i	$0.290447\pi$
$102$	0.388616	+	1.45034i	0.0384787	+	0.143605i
$103$	−5.16860	−	8.95227i	−0.509277	−	0.882094i	−0.999942	−	0.0107455i	$-0.996580\pi$
$103$	−5.16860	−	8.95227i	−0.509277	−	0.882094i	0.490665	−	0.871348i	$-0.336754\pi$
$104$	−5.79146	−	8.97368i	−0.567899	−	0.879942i
$105$	−1.03711	−	2.96148i	−0.101212	−	0.289010i
$106$	8.08616	+	8.08616i	0.785398	+	0.785398i
$107$	0.0308721	+	0.0534721i	0.00298452	+	0.00516934i	0.867514	−	0.497413i	$-0.165717\pi$
$107$	0.0308721	+	0.0534721i	0.00298452	+	0.00516934i	−0.864529	+	0.502582i	$0.832383\pi$
$108$	−0.110321	+	0.191081i	−0.0106156	+	0.0183868i
$109$	1.55407	−	0.416412i	0.148853	−	0.0398850i	−0.183623	−	0.982997i	$-0.558783\pi$
$109$	1.55407	−	0.416412i	0.148853	−	0.0398850i	0.332476	+	0.943112i	$0.392116\pi$
$110$	4.59710	+	1.23179i	0.438317	+	0.117447i
$111$	−6.99509	−	6.99509i	−0.663944	−	0.663944i
$112$	0.696349	+	9.26053i	0.0657988	+	0.875038i
$113$	−8.97966			−0.844736			−0.422368	−	0.906425i	$-0.638801\pi$
$113$	−8.97966			−0.844736			−0.422368	+	0.906425i	$0.638801\pi$
$114$	7.63159	−	4.40610i	0.714764	−	0.412669i
$115$	−6.30111	+	1.68838i	−0.587582	+	0.157442i
$116$	−1.27424	−	0.735680i	−0.118310	−	0.0683062i
$117$	3.43223	−	1.10445i	0.317310	−	0.102106i
$118$		−	12.5246i		−	1.15298i
$119$	2.46021	−	1.67826i	0.225527	−	0.153846i
$120$	3.51309			0.320700
$121$	1.68857	−	0.974895i	0.153506	−	0.0886268i
$122$	3.20385	+	11.9569i	0.290063	+	1.08253i
$123$	−4.74053	+	1.27022i	−0.427440	+	0.114532i
$124$	−0.149651	+	0.558507i	−0.0134391	+	0.0501554i
$125$	−7.20662	−	7.20662i	−0.644579	−	0.644579i
$126$	−3.46788	−	0.655244i	−0.308943	−	0.0583738i
$127$		−	3.22232i		−	0.285934i	−0.989727	−	0.142967i	$-0.954336\pi$
$127$		−	3.22232i		−	0.285934i	0.989727	−	0.142967i	$-0.0456643\pi$
$128$	−8.78042	−	2.35271i	−0.776087	−	0.207952i
$129$	5.16866	−	8.95238i	0.455075	−	0.788213i
$130$	−4.22809	−	3.82876i	−0.370828	−	0.335804i
$131$	13.8526	−	7.99780i	1.21031	−	0.698771i	0.247481	−	0.968893i	$-0.420397\pi$
$131$	13.8526	−	7.99780i	1.21031	−	0.698771i	0.962826	+	0.270121i	$0.0870638\pi$
$132$	−0.469356	+	0.469356i	−0.0408522	+	0.0408522i
$133$	−13.2510	−	11.3976i	−1.14901	−	0.988295i
$134$			4.58130i			0.395764i
$135$	−0.306956	+	1.14557i	−0.0264185	+	0.0985953i
$136$	0.862978	+	3.22068i	0.0739997	+	0.276171i
$137$	3.25976	+	12.1656i	0.278500	+	1.03938i	0.953459	+	0.301522i	$0.0974945\pi$
$137$	3.25976	+	12.1656i	0.278500	+	1.03938i	−0.674959	+	0.737855i	$0.735839\pi$
$138$	−1.89899	+	7.08712i	−0.161653	+	0.603295i
$139$		−	3.38164i		−	0.286827i	−0.989663	−	0.143414i	$-0.954192\pi$
$139$		−	3.38164i		−	0.286827i	0.989663	−	0.143414i	$-0.0458079\pi$
$140$	−0.228830	−	0.653425i	−0.0193397	−	0.0552245i
$141$	−2.92936	+	2.92936i	−0.246697	+	0.246697i
$142$	12.4436	−	7.18430i	1.04424	−	0.602893i
$143$	10.8335	−	0.536955i	0.905942	−	0.0449024i
$144$	1.75502	−	3.03978i	0.146251	−	0.253315i
$145$	−7.63932	−	2.04695i	−0.634411	−	0.169990i
$146$		−	14.6736i		−	1.21440i
$147$	1.04682	+	6.92128i	0.0863400	+	0.570858i
$148$	−1.54341	−	1.54341i	−0.126867	−	0.126867i
$149$	5.68010	−	21.1984i	0.465332	−	1.73664i	−0.190456	−	0.981696i	$-0.560997\pi$
$149$	5.68010	−	21.1984i	0.465332	−	1.73664i	0.655787	−	0.754946i	$-0.272337\pi$
$150$	−4.63005	+	1.24062i	−0.378042	+	0.101296i
$151$	−4.58120	−	17.0973i	−0.372813	−	1.39136i	−0.856514	−	0.516124i	$-0.827374\pi$
$151$	−4.58120	−	17.0973i	−0.372813	−	1.39136i	0.483701	−	0.875233i	$-0.339292\pi$
$152$	16.9470	−	9.78438i	1.37459	−	0.793618i
$153$	−1.12562			−0.0910013
$154$	−9.56694	−	4.60420i	−0.770926	−	0.371017i
$155$			3.10797i			0.249638i
$156$	0.757293	−	0.243687i	0.0606320	−	0.0195106i
$157$	17.5114	+	10.1102i	1.39756	+	0.806882i	0.994137	−	0.108131i	$-0.0344866\pi$
$157$	17.5114	+	10.1102i	1.39756	+	0.806882i	0.403424	+	0.915013i	$0.367820\pi$
$158$	7.62061	−	2.04194i	0.606263	−	0.162448i
$159$	−7.42432	+	4.28643i	−0.588787	+	0.339936i
$160$	1.47325			0.116471
$161$	14.5117	−	1.09121i	1.14368	−	0.0859997i
$162$	0.943228	+	0.943228i	0.0741070	+	0.0741070i
$163$	3.63410	+	0.973755i	0.284645	+	0.0762704i	0.398317	−	0.917248i	$-0.369595\pi$
$163$	3.63410	+	0.973755i	0.284645	+	0.0762704i	−0.113672	+	0.993518i	$0.536261\pi$
$164$	−1.04596	+	0.280264i	−0.0816758	+	0.0218850i
$165$	−1.78393	+	3.08986i	−0.138879	+	0.240546i
$166$	0.0470739	+	0.0815343i	0.00365364	+	0.00632829i
$167$	3.46759	+	3.46759i	0.268331	+	0.268331i	0.828427	−	0.560097i	$-0.189236\pi$
$167$	3.46759	+	3.46759i	0.268331	+	0.268331i	−0.560097	+	0.828427i	$0.689236\pi$
$168$	−7.70091	−	1.45506i	−0.594138	−	0.112260i
$169$	−11.8459	−	5.35485i	−0.911224	−	0.411912i
$170$	0.890378	+	1.54218i	0.0682889	+	0.118280i
$171$	1.70982	+	6.38112i	0.130753	+	0.487976i
$172$	1.14042	−	1.97527i	0.0869564	−	0.150613i
$173$	3.28238	+	5.68525i	0.249555	+	0.432241i	0.963402	−	0.268060i	$-0.0863825\pi$
$173$	3.28238	+	5.68525i	0.249555	+	0.432241i	−0.713848	+	0.700301i	$0.753049\pi$
$174$	−6.28996	+	6.28996i	−0.476841	+	0.476841i
$175$	5.35767	+	7.85397i	0.405002	+	0.593705i
$176$	7.46665	−	7.46665i	0.562820	−	0.562820i
$177$	9.06934	+	2.43012i	0.681694	+	0.182659i
$178$	−16.2991	−	9.41030i	−1.22167	−	0.705332i
$179$	4.16480	+	2.40455i	0.311292	+	0.179724i	0.647504	−	0.762062i	$-0.275813\pi$
$179$	4.16480	+	2.40455i	0.311292	+	0.179724i	−0.336213	+	0.941786i	$0.609146\pi$
$180$	−0.0677273	+	0.252762i	−0.00504809	+	0.0188397i
$181$	0.198331			0.0147418			0.00737092	−	0.999973i	$-0.497654\pi$
$181$	0.198331			0.0147418			0.00737092	+	0.999973i	$0.497654\pi$
$182$	7.68242	+	10.1441i	0.569459	+	0.751928i
$183$	−9.27993			−0.685992
$184$	−4.21697	+	15.7379i	−0.310879	+	1.16022i
$185$	−10.1606	−	5.86621i	−0.747020	−	0.431292i
$186$	3.02732	+	1.74783i	0.221974	+	0.128157i
$187$	−3.27089	−	0.876433i	−0.239191	−	0.0640911i
$188$	−0.646339	+	0.646339i	−0.0471391	+	0.0471391i
$189$	1.14734	−	2.38403i	0.0834569	−	0.173413i
$190$	7.39008	−	7.39008i	0.536133	−	0.536133i
$191$	5.82158	+	10.0833i	0.421235	+	0.729600i	0.996061	−	0.0886761i	$-0.0282636\pi$
$191$	5.82158	+	10.0833i	0.421235	+	0.729600i	−0.574826	+	0.818276i	$0.694930\pi$
$192$	4.33855	−	7.51458i	0.313108	−	0.542318i
$193$	1.62139	+	6.05111i	0.116710	+	0.435569i	0.999409	−	0.0343703i	$-0.0109426\pi$
$193$	1.62139	+	6.05111i	0.116710	+	0.435569i	−0.882699	+	0.469939i	$0.844276\pi$
$194$	−2.58071	−	4.46991i	−0.185284	−	0.320921i
$195$	3.59286	−	2.31877i	0.257290	−	0.166050i
$196$	0.230972	+	1.52712i	0.0164980	+	0.109080i
$197$	−2.36455	−	2.36455i	−0.168467	−	0.168467i	0.617838	−	0.786305i	$-0.288009\pi$
$197$	−2.36455	−	2.36455i	−0.168467	−	0.168467i	−0.786305	+	0.617838i	$0.788009\pi$
$198$	2.00646	+	3.47529i	0.142593	+	0.246978i
$199$	−3.60652	+	6.24667i	−0.255659	+	0.442815i	−0.965074	−	0.261976i	$-0.915626\pi$
$199$	−3.60652	+	6.24667i	−0.255659	+	0.442815i	0.709415	+	0.704791i	$0.248959\pi$
$200$	−10.2817	+	2.75497i	−0.727025	+	0.194806i
$201$	−3.31742	−	0.888900i	−0.233993	−	0.0626982i
$202$	7.18800	+	7.18800i	0.505746	+	0.505746i
$203$	15.8980	+	7.65111i	1.11582	+	0.537002i
$204$	−0.248360			−0.0173887
$205$	−5.04073	+	2.91027i	−0.352060	+	0.203262i
$206$	−13.3192	+	3.56887i	−0.927993	+	0.248655i
$207$	−4.76348	−	2.75020i	−0.331085	−	0.191152i
$208$	−12.0472	+	3.87665i	−0.835326	+	0.268797i
$209$			19.8739i			1.37470i
$210$	−4.17384	+	0.313854i	−0.288022	+	0.0216580i
$211$	10.5075			0.723364			0.361682	−	0.932302i	$-0.382203\pi$
$211$	10.5075			0.723364			0.361682	+	0.932302i	$0.382203\pi$
$212$	−1.63811	+	0.945766i	−0.112506	+	0.0649555i
$213$	2.78791	+	10.4046i	0.191025	+	0.712914i
$214$	0.0795558	−	0.0213169i	0.00543832	−	0.00145719i
$215$	3.17310	−	11.8422i	0.216403	−	0.807629i
$216$	2.09457	+	2.09457i	0.142518	+	0.142518i
$217$	1.28727	−	6.81285i	0.0873853	−	0.462486i
$218$		−	2.14614i		−	0.145355i
$219$	10.6255	+	2.84709i	0.718005	+	0.192389i
$220$	−0.393610	+	0.681753i	−0.0265372	+	0.0459638i
$221$	3.00833	+	2.72420i	0.202362	+	0.183250i
$222$	−11.4280	+	6.59796i	−0.766998	+	0.442826i
$223$	−0.293915	+	0.293915i	−0.0196820	+	0.0196820i	−0.716879	−	0.697197i	$-0.754430\pi$
$223$	−0.293915	+	0.293915i	−0.0196820	+	0.0196820i	0.697197	+	0.716879i	$0.254430\pi$
$224$	−3.22946	−	0.610196i	−0.215777	−	0.0407704i
$225$		−	3.59344i		−	0.239563i
$226$	−3.10019	+	11.5701i	−0.206221	+	0.769629i
$227$	0.880854	+	3.28739i	0.0584644	+	0.218192i	0.988977	−	0.148067i	$-0.0473051\pi$
$227$	0.880854	+	3.28739i	0.0584644	+	0.218192i	−0.930513	+	0.366259i	$0.880638\pi$
$228$	0.377257	+	1.40794i	0.0249844	+	0.0932432i
$229$	3.40436	−	12.7052i	0.224966	−	0.839585i	−0.757452	−	0.652891i	$-0.773556\pi$
$229$	3.40436	−	12.7052i	0.224966	−	0.839585i	0.982418	−	0.186694i	$-0.0597773\pi$
$230$			8.70172i			0.573775i
$231$	5.19026	−	6.03429i	0.341494	−	0.397027i
$232$	−13.9678	+	13.9678i	−0.917028	+	0.917028i
$233$	19.9506	−	11.5185i	1.30701	−	0.754601i	0.325412	−	0.945572i	$-0.394497\pi$
$233$	19.9506	−	11.5185i	1.30701	−	0.754601i	0.981596	+	0.190971i	$0.0611637\pi$
$234$	−0.238089	−	4.80364i	−0.0155644	−	0.314024i
$235$	−2.45661	+	4.25498i	−0.160252	+	0.277564i
$236$	2.00108	+	0.536187i	0.130259	+	0.0349028i
$237$			5.91445i			0.384185i
$238$	−1.31302	−	3.74933i	−0.0851103	−	0.243033i
$239$	17.3259	+	17.3259i	1.12072	+	1.12072i	0.991634	+	0.129082i	$0.0412032\pi$
$239$	17.3259	+	17.3259i	1.12072	+	1.12072i	0.129082	+	0.991634i	$0.458797\pi$
$240$	1.07742	−	4.02100i	0.0695475	−	0.259555i
$241$	−11.2582	+	3.01662i	−0.725202	+	0.194317i	−0.602492	−	0.798125i	$-0.705825\pi$
$241$	−11.2582	+	3.01662i	−0.725202	+	0.194317i	−0.122711	+	0.992442i	$0.539159\pi$
$242$	−0.673156	−	2.51225i	−0.0432721	−	0.161494i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	−2.04754			−0.131080
$245$	3.32373	+	7.60752i	0.212346	+	0.486027i
$246$			6.54659i			0.417395i
$247$	10.8738	−	21.1922i	0.691882	−	1.34843i
$248$	6.72260	+	3.88130i	0.426886	+	0.246463i
$249$	−0.0681745	+	0.0182673i	−0.00432038	+	0.00115764i
$250$	−11.7736	+	6.79748i	−0.744627	+	0.429911i
$251$	−22.9292			−1.44728			−0.723640	−	0.690178i	$-0.757532\pi$
$251$	−22.9292			−1.44728			−0.723640	+	0.690178i	$0.757532\pi$
$252$	0.253152	−	0.526017i	0.0159471	−	0.0331360i
$253$	−11.7006	−	11.7006i	−0.735611	−	0.735611i
$254$	−4.15187	−	1.11249i	−0.260511	−	0.0698038i
$255$	−1.28949	+	0.345517i	−0.0807507	+	0.0216371i
$256$	2.61429	−	4.52809i	0.163393	−	0.283005i
$257$	−15.9222	−	27.5781i	−0.993202	−	1.72028i	−0.597411	−	0.801935i	$-0.703804\pi$
$257$	−15.9222	−	27.5781i	−0.993202	−	1.72028i	−0.395791	−	0.918341i	$-0.629529\pi$
$258$	−9.75045	−	9.75045i	−0.607036	−	0.607036i
$259$	19.8429	+	17.0674i	1.23298	+	1.06052i
$260$	0.792735	−	0.511617i	0.0491633	−	0.0317292i
$261$	−3.33427	−	5.77513i	−0.206386	−	0.357472i
$262$	−5.52241	−	20.6099i	−0.341176	−	1.27328i
$263$	7.63772	−	13.2289i	0.470962	−	0.815730i	−0.528487	−	0.848942i	$-0.677240\pi$
$263$	7.63772	−	13.2289i	0.470962	−	0.815730i	0.999448	+	0.0332120i	$0.0105736\pi$
$264$	4.45563	+	7.71739i	0.274225	+	0.474972i
$265$	−7.18936	+	7.18936i	−0.441639	+	0.441639i
$266$	−19.2603	+	13.1387i	−1.18093	+	0.805582i
$267$	9.97670	−	9.97670i	0.610564	−	0.610564i
$268$	−0.731962	−	0.196129i	−0.0447117	−	0.0119805i
$269$	−13.7358	−	7.93034i	−0.837484	−	0.483521i	0.0189244	−	0.999821i	$-0.493976\pi$
$269$	−13.7358	−	7.93034i	−0.837484	−	0.483521i	−0.856408	+	0.516300i	$0.827309\pi$
$270$	1.37007	+	0.791009i	0.0833796	+	0.0481392i
$271$	−3.50292	+	13.0731i	−0.212787	+	0.794132i	0.774147	+	0.633006i	$0.218179\pi$
$271$	−3.50292	+	13.0731i	−0.212787	+	0.794132i	−0.986934	+	0.161126i	$0.948487\pi$
$272$	3.95098			0.239563
$273$	−8.83615	+	3.59478i	−0.534788	+	0.217566i
$274$	16.8005			1.01495
$275$	2.79792	−	10.4420i	0.168721	−	0.629676i
$276$	−1.05102	−	0.606809i	−0.0632642	−	0.0365256i
$277$	−13.2031	−	7.62280i	−0.793296	−	0.458009i	0.0478259	−	0.998856i	$-0.484771\pi$
$277$	−13.2031	−	7.62280i	−0.793296	−	0.458009i	−0.841121	+	0.540846i	$0.818104\pi$
$278$	−4.35716	−	1.16750i	−0.261325	−	0.0700218i
$279$	−1.85303	+	1.85303i	−0.110938	+	0.110938i
$280$	−9.26860	+	0.696956i	−0.553905	+	0.0416511i
$281$	−18.5933	+	18.5933i	−1.10919	+	1.10919i	−0.115928	+	0.993258i	$0.536984\pi$
$281$	−18.5933	+	18.5933i	−1.10919	+	1.10919i	−0.993258	+	0.115928i	$0.963016\pi$
$282$	2.76305	+	4.78575i	0.164537	+	0.284987i
$283$	−6.77687	+	11.7379i	−0.402843	+	0.697745i	−0.994068	−	0.108762i	$-0.965311\pi$
$283$	−6.77687	+	11.7379i	−0.402843	+	0.697745i	0.591224	+	0.806507i	$0.298645\pi$
$284$	0.615130	+	2.29570i	0.0365013	+	0.136225i
$285$	3.91744	+	6.78521i	0.232049	+	0.401921i
$286$	3.04836	−	14.1440i	0.180253	−	0.836355i
$287$	12.2550	−	4.29170i	0.723388	−	0.253331i
$288$	0.878381	+	0.878381i	0.0517591	+	0.0517591i
$289$	7.86649	+	13.6252i	0.462734	+	0.801480i
$290$	−5.27488	+	9.13636i	−0.309752	+	0.536505i
$291$	3.73749	−	1.00146i	0.219096	−	0.0587065i
$292$	2.34443	+	0.628188i	0.137197	+	0.0367619i
$293$	17.0011	+	17.0011i	0.993213	+	0.993213i	0.999977	−	0.00676444i	$-0.00215321\pi$
$293$	17.0011	+	17.0011i	0.993213	+	0.993213i	−0.00676444	+	0.999977i	$0.502153\pi$
$294$	9.27930	+	1.04075i	0.541180	+	0.0606976i
$295$	11.1355			0.648337
$296$	−25.3775	+	14.6517i	−1.47504	+	0.851614i
$297$	−2.90585	+	0.778620i	−0.168614	+	0.0451801i
$298$	−25.3526	−	14.6373i	−1.46863	−	0.847916i
$299$	6.07490	+	18.8786i	0.351320	+	1.09178i
$300$		−	0.792863i		−	0.0457760i
$301$	−11.8604	+	24.6445i	−0.683624	+	1.42048i
$302$	−23.6110			−1.35866
$303$	−6.59966	+	3.81032i	−0.379141	+	0.218897i
$304$	−6.00151	−	22.3979i	−0.344210	−	1.28461i
$305$	−10.6308	+	2.84853i	−0.608721	+	0.163106i
$306$	−0.388616	+	1.45034i	−0.0222157	+	0.0829102i
$307$	7.00302	+	7.00302i	0.399684	+	0.399684i	0.878121	−	0.478438i	$-0.158797\pi$
$307$	7.00302	+	7.00302i	0.399684	+	0.399684i	−0.478438	+	0.878121i	$0.658797\pi$
$308$	1.14519	−	1.33142i	0.0652531	−	0.0758646i
$309$		−	10.3372i		−	0.588062i
$310$	4.00453	+	1.07301i	0.227442	+	0.0609429i
$311$	0.772268	−	1.33761i	0.0437913	−	0.0758487i	−0.843299	−	0.537445i	$-0.819390\pi$
$311$	0.772268	−	1.33761i	0.0437913	−	0.0758487i	0.887090	+	0.461596i	$0.152723\pi$
$312$	−0.528711	−	10.6672i	−0.0299324	−	0.603909i
$313$	4.78649	−	2.76348i	0.270548	−	0.156201i	−0.358588	−	0.933496i	$-0.616742\pi$
$313$	4.78649	−	2.76348i	0.270548	−	0.156201i	0.629137	+	0.777295i	$0.283409\pi$
$314$	19.0725	−	19.0725i	1.07632	−	1.07632i
$315$	0.582574	−	3.08327i	0.0328243	−	0.173722i
$316$			1.30497i			0.0734105i
$317$	2.19180	−	8.17990i	0.123104	−	0.459429i	−0.876661	−	0.481108i	$-0.840235\pi$
$317$	2.19180	−	8.17990i	0.123104	−	0.459429i	0.999765	+	0.0216791i	$0.00690120\pi$
$318$	2.95974	+	11.0459i	0.165974	+	0.619424i
$319$	−5.19226	−	19.3778i	−0.290711	−	1.08495i
$320$	2.66348	−	9.94026i	0.148893	−	0.555677i
$321$			0.0617442i			0.00344623i
$322$	3.60410	−	19.0747i	0.200849	−	1.06299i
$323$	−5.25813	+	5.25813i	−0.292570	+	0.292570i
$324$	−0.191081	+	0.110321i	−0.0106156	+	0.00612894i
$325$	−8.69675	+	9.60380i	−0.482409	+	0.532723i
$326$	2.50931	−	4.34626i	0.138978	−	0.240717i
$327$	1.55407	+	0.416412i	0.0859402	+	0.0230276i
$328$			14.5376i			0.802707i
$329$	7.14739	−	8.30969i	0.394048	−	0.458128i
$330$	3.36531	+	3.36531i	0.185254	+	0.185254i
$331$	4.36273	−	16.2819i	0.239797	−	0.894936i	−0.736130	−	0.676840i	$-0.763349\pi$
$331$	4.36273	−	16.2819i	0.239797	−	0.894936i	0.975927	−	0.218096i	$-0.0699845\pi$
$332$	−0.0150421	+	0.00403053i	−0.000825545	+	0.000221204i
$333$	−2.56038	−	9.55547i	−0.140308	−	0.523637i
$334$	5.66507	−	3.27073i	0.309979	−	0.178967i
$335$	−4.07320			−0.222543
$336$	−4.02721	+	8.36803i	−0.219702	+	0.456513i
$337$			20.6449i			1.12460i	0.826933	+	0.562300i	$0.190084\pi$
$337$			20.6449i			1.12460i	−0.826933	+	0.562300i	$0.809916\pi$
$338$	−10.9893	+	13.4144i	−0.597741	+	0.729647i
$339$	−7.77662	−	4.48983i	−0.422368	−	0.243854i
$340$	−0.284514	+	0.0762354i	−0.0154300	+	0.00413444i
$341$	−6.82742	+	3.94181i	−0.369726	+	0.213461i
$342$	8.81221			0.476510
$343$	−4.13492	−	18.0528i	−0.223265	−	0.974758i
$344$	−21.6522	−	21.6522i	−1.16741	−	1.16741i
$345$	−6.30111	−	1.68838i	−0.339241	−	0.0908992i
$346$	8.45851	−	2.26645i	0.454733	−	0.121845i
$347$	0.119539	−	0.207048i	0.00641719	−	0.0111149i	−0.862799	−	0.505547i	$-0.831291\pi$
$347$	0.119539	−	0.207048i	0.00641719	−	0.0111149i	0.869216	+	0.494432i	$0.164624\pi$
$348$	−0.735680	−	1.27424i	−0.0394366	−	0.0683062i
$349$	18.1168	+	18.1168i	0.969770	+	0.969770i	0.999556	−	0.0297868i	$-0.00948283\pi$
$349$	18.1168	+	18.1168i	0.969770	+	0.969770i	−0.0297868	+	0.999556i	$0.509483\pi$
$350$	11.9693	−	4.19167i	0.639789	−	0.224054i
$351$	3.52462	+	0.759635i	0.188130	+	0.0405463i
$352$	1.86852	+	3.23637i	0.0995924	+	0.172499i
$353$	−4.36937	−	16.3067i	−0.232558	−	0.867919i	−0.979234	−	0.202731i	$-0.935018\pi$
$353$	−4.36937	−	16.3067i	−0.232558	−	0.867919i	0.746676	−	0.665188i	$-0.231648\pi$
$354$	6.26230	−	10.8466i	0.332837	−	0.576491i
$355$	6.38752	+	11.0635i	0.339015	+	0.587190i
$356$	2.20128	−	2.20128i	0.116667	−	0.116667i
$357$	2.96974	−	0.223310i	0.157175	−	0.0118188i
$358$	4.53607	−	4.53607i	0.239739	−	0.239739i
$359$	−10.7593	−	2.88296i	−0.567857	−	0.152157i	−0.0365433	−	0.999332i	$-0.511635\pi$
$359$	−10.7593	−	2.88296i	−0.567857	−	0.152157i	−0.531313	+	0.847175i	$0.678301\pi$
$360$	3.04243	+	1.75655i	0.160350	+	0.0925781i
$361$	21.3407	+	12.3211i	1.12320	+	0.648477i
$362$	0.0684729	−	0.255544i	0.00359886	−	0.0134311i
$363$	1.94979			0.102337
$364$	−1.94962	+	0.793159i	−0.102188	+	0.0415728i
$365$	13.0462			0.682871
$366$	−3.20385	+	11.9569i	−0.167468	+	0.624999i
$367$	23.9320	+	13.8172i	1.24924	+	0.721250i	0.970958	−	0.239249i	$-0.0769013\pi$
$367$	23.9320	+	13.8172i	1.24924	+	0.721250i	0.278283	+	0.960499i	$0.410235\pi$
$368$	16.7200	+	9.65329i	0.871590	+	0.503213i
$369$	−4.74053	−	1.27022i	−0.246782	−	0.0661251i
$370$	−11.0664	+	11.0664i	−0.575312	+	0.575312i
$371$	18.7372	−	12.7818i	0.972788	−	0.663598i
$372$	−0.408855	+	0.408855i	−0.0211982	+	0.0211982i
$373$	−0.733611	−	1.27065i	−0.0379850	−	0.0657919i	0.846408	−	0.532535i	$-0.178761\pi$
$373$	−0.733611	−	1.27065i	−0.0379850	−	0.0657919i	−0.884393	+	0.466743i	$0.845427\pi$
$374$	−2.25852	+	3.91187i	−0.116785	+	0.202278i
$375$	−2.63780	−	9.84442i	−0.136216	−	0.508364i
$376$	6.13575	+	10.6274i	0.316427	+	0.548068i
$377$	−5.06566	+	23.5041i	−0.260895	+	1.21052i
$378$	−2.67565	−	2.30140i	−0.137620	−	0.118371i
$379$	11.6702	+	11.6702i	0.599460	+	0.599460i	0.940169	−	0.340709i	$-0.110667\pi$
$379$	11.6702	+	11.6702i	0.599460	+	0.599460i	−0.340709	+	0.940169i	$0.610667\pi$
$380$	0.864351	+	1.49710i	0.0443403	+	0.0767996i
$381$	1.61116	−	2.79061i	0.0825421	−	0.142967i
$382$	15.0019	−	4.01975i	0.767564	−	0.205668i
$383$	−7.55503	−	2.02436i	−0.386044	−	0.103440i	0.0605767	−	0.998164i	$-0.480706\pi$
$383$	−7.55503	−	2.02436i	−0.386044	−	0.103440i	−0.446621	+	0.894723i	$0.647373\pi$
$384$	−6.42772	−	6.42772i	−0.328013	−	0.328013i
$385$	4.09357	−	8.50591i	0.208627	−	0.433501i
$386$	8.35648			0.425333
$387$	8.95238	−	5.16866i	0.455075	−	0.262738i
$388$	0.824648	−	0.220964i	0.0418651	−	0.0112177i
$389$	−3.86766	−	2.23300i	−0.196098	−	0.113217i	0.398736	−	0.917066i	$-0.369449\pi$
$389$	−3.86766	−	2.23300i	−0.196098	−	0.113217i	−0.594834	+	0.803848i	$0.702782\pi$
$390$	−1.74725	−	5.42984i	−0.0884756	−	0.274951i
$391$		−	6.19138i		−	0.313111i
$392$	20.6060	+	2.31113i	1.04076	+	0.116729i
$393$	15.9956			0.806872
$394$	−3.86301	+	2.23031i	−0.194615	+	0.112361i
$395$	1.81547	+	6.77544i	0.0913463	+	0.340909i
$396$	−0.641152	+	0.171796i	−0.0322191	+	0.00863308i
$397$	6.50777	−	24.2873i	0.326616	−	1.21895i	−0.586062	−	0.810266i	$-0.699323\pi$
$397$	6.50777	−	24.2873i	0.326616	−	1.21895i	0.912678	−	0.408680i	$-0.134011\pi$
$398$	6.80354	+	6.80354i	0.341030	+	0.341030i
$399$	−5.77695	−	16.4961i	−0.289209	−	0.825839i
$400$			12.6131i			0.630654i
$401$	−36.0562	−	9.66122i	−1.80056	−	0.482458i	−0.806493	−	0.591244i	$-0.798637\pi$
$401$	−36.0562	−	9.66122i	−1.80056	−	0.482458i	−0.994065	+	0.108786i	$0.965304\pi$
$402$	−2.29065	+	3.96752i	−0.114247	+	0.197882i
$403$	9.43704	−	0.467740i	0.470092	−	0.0232998i
$404$	−1.45616	+	0.840716i	−0.0724468	+	0.0418272i
$405$	−0.838619	+	0.838619i	−0.0416713	+	0.0416713i
$406$	15.3470	−	17.8427i	0.761657	−	0.885517i
$407$		−	29.7603i		−	1.47516i
$408$	−0.862978	+	3.22068i	−0.0427238	+	0.159447i
$409$	4.34285	+	16.2077i	0.214740	+	0.801421i	0.986258	+	0.165213i	$0.0528312\pi$
$409$	4.34285	+	16.2077i	0.214740	+	0.801421i	−0.771518	+	0.636208i	$0.780502\pi$
$410$	2.00951	+	7.49961i	0.0992428	+	0.370379i
$411$	−3.25976	+	12.1656i	−0.160792	+	0.600084i
$412$		−	2.28082i		−	0.112368i
$413$	−24.4098	−	4.61215i	−1.20113	−	0.226949i
$414$	−5.18813	+	5.18813i	−0.254983	+	0.254983i
$415$	−0.0724917	+	0.0418531i	−0.00355848	+	0.00205449i
$416$	−0.221721	−	4.47339i	−0.0108708	−	0.219326i
$417$	1.69082	−	2.92859i	0.0827999	−	0.143414i
$418$	25.6069	+	6.86136i	1.25248	+	0.335600i
$419$		−	0.700509i		−	0.0342221i	−0.999854	−	0.0171111i	$-0.994553\pi$
$419$		−	0.700509i		−	0.0342221i	0.999854	−	0.0171111i	$-0.00544688\pi$
$420$	0.128540	−	0.680298i	0.00627212	−	0.0331951i
$421$	−21.2879	−	21.2879i	−1.03751	−	1.03751i	−0.999269	−	0.0382392i	$-0.987825\pi$
$421$	−21.2879	−	21.2879i	−1.03751	−	1.03751i	−0.0382392	−	0.999269i	$-0.512175\pi$
$422$	3.62765	−	13.5386i	0.176591	−	0.659048i
$423$	−4.00158	+	1.07222i	−0.194563	+	0.0521331i
$424$	6.57253	+	24.5290i	0.319190	+	1.19123i
$425$	3.50295	−	2.02243i	0.169918	−	0.0981022i
$426$	14.3686			0.696161
$427$	24.4833	−	1.84103i	1.18483	−	0.0890936i
$428$			0.0136234i			0.000658510i
$429$	9.65055	+	4.95173i	0.465933	+	0.239072i
$430$	−14.1628	−	8.17690i	−0.682992	−	0.394325i
$431$	−29.9558	+	8.02664i	−1.44292	+	0.386630i	−0.893556	−	0.448952i	$-0.851797\pi$
$431$	−29.9558	+	8.02664i	−1.44292	+	0.386630i	−0.549366	+	0.835582i	$0.685131\pi$
$432$	3.03978	−	1.75502i	0.146251	−	0.0844383i
$433$	14.8479			0.713543			0.356771	−	0.934192i	$-0.383878\pi$
$433$	14.8479			0.713543			0.356771	+	0.934192i	$0.383878\pi$
$434$	−8.33375	−	4.01071i	−0.400033	−	0.192520i
$435$	−5.59237	−	5.59237i	−0.268134	−	0.268134i
$436$	0.342893	+	0.0918778i	0.0164216	+	0.00440015i
$437$	−35.0987	+	9.40466i	−1.67900	+	0.449886i
$438$	7.33681	−	12.7077i	0.350566	−	0.607199i
$439$	−0.725696	−	1.25694i	−0.0346356	−	0.0599906i	0.848188	−	0.529695i	$-0.177694\pi$
$439$	−0.725696	−	1.25694i	−0.0346356	−	0.0599906i	−0.882824	+	0.469705i	$0.844360\pi$
$440$	7.47316	+	7.47316i	0.356269	+	0.356269i
$441$	−2.55407	+	6.51742i	−0.121622	+	0.310353i
$442$	4.54868	−	2.93564i	0.216359	−	0.139634i
$443$	−2.91211	−	5.04392i	−0.138358	−	0.239644i	0.788517	−	0.615013i	$-0.210849\pi$
$443$	−2.91211	−	5.04392i	−0.138358	−	0.239644i	−0.926875	+	0.375369i	$0.877516\pi$
$444$	−0.564927	−	2.10834i	−0.0268102	−	0.100057i
$445$	8.36665	−	14.4915i	0.396617	−	0.686961i
$446$	0.277229	+	0.480175i	0.0131272	+	0.0227369i
$447$	15.5183	−	15.5183i	0.733991	−	0.733991i
$448$	−9.95560	+	20.6865i	−0.470358	+	0.977344i
$449$	9.82447	−	9.82447i	0.463645	−	0.463645i	−0.436203	−	0.899848i	$-0.643677\pi$
$449$	9.82447	−	9.82447i	0.463645	−	0.463645i	0.899848	+	0.436203i	$0.143677\pi$
$450$	−4.63005	−	1.24062i	−0.218263	−	0.0584833i
$451$	−12.7863	−	7.38215i	−0.602081	−	0.347612i
$452$	−1.71585	−	0.990645i	−0.0807066	−	0.0465960i
$453$	4.58120	−	17.0973i	0.215244	−	0.803300i
$454$	4.53983			0.213065
$455$	−9.01903	+	6.83039i	−0.422819	+	0.320214i
$456$	19.5688			0.916391
$457$	1.46690	−	5.47453i	0.0686185	−	0.256088i	−0.923092	−	0.384579i	$-0.874347\pi$
$457$	1.46690	−	5.47453i	0.0686185	−	0.256088i	0.991711	+	0.128491i	$0.0410133\pi$
$458$	−15.1950	−	8.77284i	−0.710016	−	0.409928i
$459$	−0.974818	−	0.562812i	−0.0455006	−	0.0262698i
$460$	−1.39029	−	0.372527i	−0.0648226	−	0.0173692i
$461$	9.94431	−	9.94431i	0.463153	−	0.463153i	−0.436535	−	0.899687i	$-0.643794\pi$
$461$	9.94431	−	9.94431i	0.463153	−	0.463153i	0.899687	+	0.436535i	$0.143794\pi$
$462$	−5.98311	−	8.77082i	−0.278360	−	0.408056i
$463$	−0.525436	+	0.525436i	−0.0244191	+	0.0244191i	−0.719211	−	0.694792i	$-0.755497\pi$
$463$	−0.525436	+	0.525436i	−0.0244191	+	0.0244191i	0.694792	+	0.719211i	$0.255497\pi$
$464$	11.7034	+	20.2709i	0.543317	+	0.941053i
$465$	−1.55398	+	2.69158i	−0.0720642	+	0.124819i
$466$	−7.95341	−	29.6825i	−0.368435	−	1.37502i
$467$	13.1425	+	22.7635i	0.608164	+	1.05337i	0.991543	+	0.129779i	$0.0414268\pi$
$467$	13.1425	+	22.7635i	0.608164	+	1.05337i	−0.383379	+	0.923591i	$0.625240\pi$
$468$	0.777679	+	0.167607i	0.0359482	+	0.00774765i
$469$	8.92871	+	1.68705i	0.412289	+	0.0779008i
$470$	4.63430	+	4.63430i	0.213764	+	0.213764i
$471$	10.1102	+	17.5114i	0.465854	+	0.806882i
$472$	13.9063	−	24.0865i	0.640090	−	1.10867i
$473$	30.0387	−	8.04884i	1.38118	−	0.370086i
$474$	7.62061	+	2.04194i	0.350026	+	0.0937892i
$475$	−16.7860	−	16.7860i	−0.770196	−	0.770196i
$476$	0.655248	−	0.0492716i	0.0300332	−	0.00225836i
$477$	−8.57286			−0.392524
$478$	28.3056	−	16.3422i	1.29467	−	0.747476i
$479$	25.6234	−	6.86578i	1.17077	−	0.313706i	0.379508	−	0.925189i	$-0.376093\pi$
$479$	25.6234	−	6.86578i	1.17077	−	0.313706i	0.791258	+	0.611483i	$0.209427\pi$
$480$	1.27588	+	0.736627i	0.0582355	+	0.0336223i
$481$	−16.2830	+	31.7345i	−0.742443	+	1.44697i
$482$			15.5473i			0.708161i
$483$	13.1131	+	6.31084i	0.596668	+	0.287153i
$484$	0.430205			0.0195548
$485$	3.97417	−	2.29449i	0.180458	−	0.104187i
$486$	0.345245	+	1.28847i	0.0156607	+	0.0584463i
$487$	16.6580	−	4.46349i	0.754844	−	0.202260i	0.139179	−	0.990267i	$-0.455554\pi$
$487$	16.6580	−	4.46349i	0.754844	−	0.202260i	0.615666	+	0.788007i	$0.288887\pi$
$488$	−7.11461	+	26.5521i	−0.322063	+	1.20196i
$489$	2.66035	+	2.66035i	0.120305	+	0.120305i
$490$	10.9496	−	1.65608i	0.494652	−	0.0748141i
$491$			13.2885i			0.599700i	0.953986	+	0.299850i	$0.0969366\pi$
$491$			13.2885i			0.599700i	−0.953986	+	0.299850i	$0.903063\pi$
$492$	−1.04596	−	0.280264i	−0.0471555	−	0.0126353i
$493$	3.75314	−	6.50062i	0.169033	−	0.292773i
$494$	−23.5514	−	21.3271i	−1.05963	−	0.959550i
$495$	−3.08986	+	1.78393i	−0.138879	+	0.0801819i
$496$	6.50419	−	6.50419i	0.292047	−	0.292047i
$497$	−9.41952	−	26.8975i	−0.422523	−	1.20652i
$498$			0.0941477i			0.00421886i
$499$	−7.51639	+	28.0515i	−0.336480	+	1.25576i	0.565776	+	0.824559i	$0.308577\pi$
$499$	−7.51639	+	28.0515i	−0.336480	+	1.25576i	−0.902256	+	0.431201i	$0.858090\pi$
$500$	−0.582010	−	2.17209i	−0.0260283	−	0.0971389i
$501$	1.26923	+	4.73682i	0.0567049	+	0.211626i
$502$	−7.91621	+	29.5437i	−0.353318	+	1.31860i
$503$			19.9956i			0.891561i	0.895142	+	0.445780i	$0.147074\pi$
$503$			19.9956i			0.891561i	−0.895142	+	0.445780i	$0.852926\pi$
$504$	−5.94165	−	5.11058i	−0.264662	−	0.227643i
$505$	−6.39081	+	6.39081i	−0.284387	+	0.284387i
$506$	−19.1155	+	11.0363i	−0.849788	+	0.490625i
$507$	−7.58143	−	10.5604i	−0.336703	−	0.469004i
$508$	0.355489	−	0.615725i	0.0157723	−	0.0273184i
$509$	−7.72112	−	2.06887i	−0.342233	−	0.0917010i	0.0836090	−	0.996499i	$-0.473355\pi$
$509$	−7.72112	−	2.06887i	−0.342233	−	0.0917010i	−0.425842	+	0.904798i	$0.640022\pi$
$510$			1.78076i			0.0788532i
$511$	−28.5981	−	5.40352i	−1.26511	−	0.239038i
$512$	−17.7872	−	17.7872i	−0.786090	−	0.786090i
$513$	−1.70982	+	6.38112i	−0.0754902	+	0.281733i
$514$	−41.0308	+	10.9942i	−1.80979	+	0.484932i
$515$	−3.17306	−	11.8420i	−0.139822	−	0.521822i
$516$	1.97527	−	1.14042i	0.0869564	−	0.0502043i
$517$	−12.4628			−0.548115
$518$	28.8416	−	19.6746i	1.26723	−	0.864453i
$519$			6.56476i			0.288161i
$520$	−3.88003	−	12.0577i	−0.170150	−	0.528767i
$521$	−27.8791	−	16.0960i	−1.22141	−	0.705179i	−0.256189	−	0.966627i	$-0.582467\pi$
$521$	−27.8791	−	16.0960i	−1.22141	−	0.705179i	−0.965218	+	0.261448i	$0.915800\pi$
$522$	−8.59225	+	2.30229i	−0.376072	+	0.100768i
$523$	−13.0931	+	7.55930i	−0.572521	+	0.330545i	−0.758156	−	0.652074i	$-0.773899\pi$
$523$	−13.0931	+	7.55930i	−0.572521	+	0.330545i	0.185635	+	0.982619i	$0.440566\pi$
$524$	3.52930			0.154178
$525$	0.712896	+	9.48058i	0.0311133	+	0.413766i
$526$	−14.4082	−	14.4082i	−0.628228	−	0.628228i
$527$	−2.84927	−	0.763460i	−0.124116	−	0.0332568i
$528$	10.1996	−	2.73298i	0.443882	−	0.118938i
$529$	3.62719	−	6.28247i	0.157704	−	0.273151i
$530$	6.78121	+	11.7454i	0.294557	+	0.510187i
$531$	6.63922	+	6.63922i	0.288118	+	0.288118i
$532$	−1.27464	−	3.63973i	−0.0552625	−	0.157802i
$533$	9.59536	+	14.8677i	0.415621	+	0.643992i
$534$	−9.41030	−	16.2991i	−0.407224	−	0.705332i
$535$	0.0189527	+	0.0707326i	0.000819399	+	0.00305804i
$536$	−5.08671	+	8.81044i	−0.219712	+	0.380553i
$537$	2.40455	+	4.16480i	0.103764	+	0.179724i
$538$	−14.9602	+	14.9602i	−0.644982	+	0.644982i
$539$	−12.4963	+	16.9500i	−0.538256	+	0.730087i
$540$	−0.185034	+	0.185034i	−0.00796261	+	0.00796261i
$541$	−2.00694	−	0.537759i	−0.0862853	−	0.0231201i	0.215418	−	0.976522i	$-0.430889\pi$
$541$	−2.00694	−	0.537759i	−0.0862853	−	0.0231201i	−0.301703	+	0.953402i	$0.597555\pi$
$542$	15.6349	+	9.02683i	0.671578	+	0.387736i
$543$	0.171760	+	0.0991656i	0.00737092	+	0.00425560i
$544$	−0.361899	+	1.35063i	−0.0155163	+	0.0579076i
$545$	1.90812			0.0817349
$546$	1.58114	+	12.6262i	0.0676664	+	0.540353i
$547$	−34.1119			−1.45852			−0.729259	−	0.684237i	$-0.760135\pi$
$547$	−34.1119			−1.45852			−0.729259	+	0.684237i	$0.760135\pi$
$548$	−0.719239	+	2.68424i	−0.0307244	+	0.114665i
$549$	−8.03666	−	4.63997i	−0.342996	−	0.198029i
$550$	−12.4883	−	7.21010i	−0.532501	−	0.307440i
$551$	−42.5528	−	11.4020i	−1.81281	−	0.485741i
$552$	−11.5210	+	11.5210i	−0.490365	+	0.490365i
$553$	−1.17336	−	15.6041i	−0.0498962	−	0.663554i
$554$	−14.3801	+	14.3801i	−0.610951	+	0.610951i
$555$	−5.86621	−	10.1606i	−0.249007	−	0.431292i
$556$	0.373066	−	0.646169i	0.0158215	−	0.0274037i
$557$	0.691055	+	2.57905i	0.0292809	+	0.109278i	0.979020	−	0.203766i	$-0.0653181\pi$
$557$	0.691055	+	2.57905i	0.0292809	+	0.109278i	−0.949739	+	0.313044i	$0.898651\pi$
$558$	1.74783	+	3.02732i	0.0739914	+	0.128157i
$559$	−36.4351	−	7.85259i	−1.54104	−	0.332129i
$560$	−2.04485	+	10.8224i	−0.0864108	+	0.457329i
$561$	−2.39446	−	2.39446i	−0.101094	−	0.101094i
$562$	17.5378	+	30.3763i	0.739786	+	1.28135i
$563$	−6.06920	+	10.5122i	−0.255786	+	0.443035i	−0.965109	−	0.261849i	$-0.915668\pi$
$563$	−6.06920	+	10.5122i	−0.255786	+	0.443035i	0.709322	+	0.704884i	$0.249001\pi$
$564$	−0.882916	+	0.236577i	−0.0371775	+	0.00996167i
$565$	−10.2869	−	2.75636i	−0.432772	−	0.115961i
$566$	12.7843	+	12.7843i	0.537363	+	0.537363i
$567$	2.18564	−	1.49096i	0.0917884	−	0.0626145i
$568$	31.9075			1.33881
$569$	−9.86868	+	5.69768i	−0.413717	+	0.238859i	−0.692385	−	0.721528i	$-0.743440\pi$
$569$	−9.86868	+	5.69768i	−0.413717	+	0.238859i	0.278669	+	0.960387i	$0.410107\pi$
$570$	10.0950	−	2.70496i	0.422835	−	0.113298i
$571$	−8.14835	−	4.70445i	−0.340998	−	0.196875i	0.319715	−	0.947514i	$-0.396413\pi$
$571$	−8.14835	−	4.70445i	−0.340998	−	0.196875i	−0.660713	+	0.750638i	$0.729746\pi$
$572$	2.12932	+	1.09256i	0.0890311	+	0.0456821i
$573$			11.6432i			0.486400i
$574$	−1.29877	−	17.2719i	−0.0542095	−	0.720915i
$575$	19.7653			0.824271
$576$	7.51458	−	4.33855i	0.313108	−	0.180773i
$577$	7.70787	+	28.7662i	0.320883	+	1.19755i	0.918386	+	0.395685i	$0.129493\pi$
$577$	7.70787	+	28.7662i	0.320883	+	1.19755i	−0.597504	+	0.801866i	$0.703841\pi$
$578$	20.2715	−	5.43174i	0.843184	−	0.225930i
$579$	−1.62139	+	6.05111i	−0.0673827	+	0.251476i
$580$	−1.23391	−	1.23391i	−0.0512353	−	0.0512353i
$581$	0.176241	−	0.0617197i	0.00731170	−	0.00256056i
$582$		−	5.16141i		−	0.213947i
$583$	−24.9114	−	6.67500i	−1.03173	−	0.276450i
$584$	16.2924	−	28.2193i	0.674186	−	1.16772i
$585$	4.27089	−	0.211684i	0.176580	−	0.00875205i
$586$	27.7750	−	16.0359i	1.14737	−	0.662436i
$587$	0.824462	−	0.824462i	0.0340292	−	0.0340292i	−0.689887	−	0.723917i	$-0.742340\pi$
$587$	0.824462	−	0.824462i	0.0340292	−	0.0340292i	0.723917	+	0.689887i	$0.242340\pi$
$588$	−0.563535	+	1.43801i	−0.0232398	+	0.0593027i
$589$			17.3121i			0.713332i
$590$	3.84450	−	14.3479i	0.158275	−	0.590692i
$591$	−0.865485	−	3.23003i	−0.0356013	−	0.132866i
$592$	8.98702	+	33.5400i	0.369364	+	1.37849i
$593$	0.304273	−	1.13556i	0.0124950	−	0.0466319i	−0.959397	−	0.282060i	$-0.908982\pi$
$593$	0.304273	−	1.13556i	0.0124950	−	0.0466319i	0.971892	+	0.235428i	$0.0756491\pi$
$594$			4.01292i			0.164652i
$595$	3.33351	−	1.16740i	0.136660	−	0.0478586i
$596$	3.42399	−	3.42399i	0.140252	−	0.140252i
$597$	−6.24667	+	3.60652i	−0.255659	+	0.147605i
$598$	26.4219	−	1.30959i	1.08047	−	0.0535529i
$599$	−15.3534	+	26.5928i	−0.627322	+	1.08655i	0.360765	+	0.932657i	$0.382516\pi$
$599$	−15.3534	+	26.5928i	−0.627322	+	1.08655i	−0.988087	+	0.153897i	$0.950818\pi$
$600$	−10.2817	−	2.75497i	−0.419748	−	0.112471i
$601$		−	26.1929i		−	1.06843i	−0.845348	−	0.534216i	$-0.820607\pi$
$601$		−	26.1929i		−	1.06843i	0.845348	−	0.534216i	$-0.179393\pi$
$602$	27.6590	+	23.7903i	1.12730	+	0.969618i
$603$	−2.42852	−	2.42852i	−0.0988970	−	0.0988970i
$604$	1.01080	−	3.77238i	0.0411291	−	0.153496i
$605$	2.23363	−	0.598499i	0.0908099	−	0.0243324i
$606$	2.63099	+	9.81899i	0.106877	+	0.398869i
$607$	−24.0897	+	13.9082i	−0.977771	+	0.564516i	−0.901596	−	0.432578i	$-0.857604\pi$
$607$	−24.0897	+	13.9082i	−0.977771	+	0.564516i	−0.0761744	+	0.997095i	$0.524271\pi$
$608$	8.20637			0.332812
$609$	9.94254	+	14.5751i	0.402892	+	0.590611i
$610$			14.6810i			0.594417i
$611$	13.2896	+	6.81891i	0.537638	+	0.275864i
$612$	−0.215086	−	0.124180i	−0.00869433	−	0.00501967i
$613$	2.62688	−	0.703871i	0.106099	−	0.0284291i	−0.205379	−	0.978683i	$-0.565843\pi$
$613$	2.62688	−	0.703871i	0.106099	−	0.0284291i	0.311478	+	0.950253i	$0.399176\pi$
$614$	11.4410	−	6.60545i	0.461720	−	0.266574i
$615$	−5.82054			−0.234707
$616$	−13.2864	−	19.4769i	−0.535322	−	0.784745i
$617$	−22.0224	−	22.0224i	−0.886590	−	0.886590i	0.107604	−	0.994194i	$-0.465682\pi$
$617$	−22.0224	−	22.0224i	−0.886590	−	0.886590i	−0.994194	+	0.107604i	$0.965682\pi$
$618$	−13.3192	−	3.56887i	−0.535777	−	0.143561i
$619$	18.3710	−	4.92248i	0.738391	−	0.197851i	0.130028	−	0.991510i	$-0.458493\pi$
$619$	18.3710	−	4.92248i	0.738391	−	0.197851i	0.608363	+	0.793659i	$0.291827\pi$
$620$	−0.342874	+	0.593874i	−0.0137701	+	0.0238506i
$621$	−2.75020	−	4.76348i	−0.110362	−	0.191152i
$622$	−1.45685	−	1.45685i	−0.0584143	−	0.0584143i
$623$	−24.3423	+	28.3008i	−0.975254	+	1.13385i
$624$	−12.3715	−	2.66635i	−0.495258	−	0.106739i
$625$	2.93999	+	5.09222i	0.117600	+	0.203689i
$626$	−1.90816	−	7.12134i	−0.0762654	−	0.284626i
$627$	−9.93693	+	17.2113i	−0.396843	+	0.687352i
$628$	2.23073	+	3.86374i	0.0890160	+	0.154180i
$629$	7.87384	−	7.87384i	0.313950	−	0.313950i
$630$	−3.77158	−	1.81511i	−0.150263	−	0.0723159i
$631$	−6.92657	+	6.92657i	−0.275742	+	0.275742i	−0.831407	−	0.555664i	$-0.812464\pi$
$631$	−6.92657	+	6.92657i	−0.275742	+	0.275742i	0.555664	+	0.831407i	$0.312464\pi$
$632$	16.9226	+	4.53441i	0.673146	+	0.180369i
$633$	9.09973	+	5.25373i	0.361682	+	0.208817i
$634$	−9.78287	−	5.64814i	−0.388528	−	0.224316i
$635$	0.989108	−	3.69140i	0.0392516	−	0.146489i
$636$	−1.89153			−0.0750041
$637$	22.5993	−	11.2371i	0.895416	−	0.445230i
$638$	−26.7604			−1.05945
$639$	−2.78791	+	10.4046i	−0.110288	+	0.411601i
$640$	−9.33645	−	5.39040i	−0.369056	−	0.213074i
$641$	−40.2969	−	23.2654i	−1.59163	−	0.918929i	−0.993027	−	0.117883i	$-0.962389\pi$
$641$	−40.2969	−	23.2654i	−1.59163	−	0.918929i	−0.598604	−	0.801045i	$-0.704277\pi$
$642$	0.0795558	+	0.0213169i	0.00313982	+	0.000841311i
$643$	5.59743	−	5.59743i	0.220741	−	0.220741i	−0.588069	−	0.808811i	$-0.700112\pi$
$643$	5.59743	−	5.59743i	0.220741	−	0.220741i	0.808811	+	0.588069i	$0.200112\pi$
$644$	2.89330	+	1.39243i	0.114012	+	0.0548696i
$645$	8.66907	−	8.66907i	0.341344	−	0.341344i
$646$	4.95961	+	8.59030i	0.195133	+	0.337981i
$647$	−13.5122	+	23.4038i	−0.531218	+	0.920097i	0.468118	+	0.883666i	$0.344932\pi$
$647$	−13.5122	+	23.4038i	−0.531218	+	0.920097i	−0.999336	+	0.0364307i	$0.988401\pi$
$648$	0.766666	+	2.86124i	0.0301175	+	0.112400i
$649$	14.1231	+	24.4620i	0.554382	+	0.960218i
$650$	9.37173	+	14.5212i	0.367589	+	0.569568i
$651$	4.52123	−	5.25646i	0.177201	−	0.206017i
$652$	0.586984	+	0.586984i	0.0229881	+	0.0229881i
$653$	6.36676	+	11.0276i	0.249151	+	0.431542i	0.963290	−	0.268461i	$-0.0865152\pi$
$653$	6.36676	+	11.0276i	0.249151	+	0.431542i	−0.714140	+	0.700003i	$0.753182\pi$
$654$	1.07307	−	1.85861i	0.0419604	−	0.0726775i
$655$	18.3242	−	4.90994i	0.715984	−	0.191847i
$656$	16.6394	+	4.45852i	0.649661	+	0.174076i
$657$	7.77841	+	7.77841i	0.303465	+	0.303465i
$658$	−8.23921	−	12.0781i	−0.321198	−	0.470853i
$659$	17.7506			0.691467			0.345734	−	0.938333i	$-0.387630\pi$
$659$	17.7506			0.691467			0.345734	+	0.938333i	$0.387630\pi$
$660$	−0.681753	+	0.393610i	−0.0265372	+	0.0153213i
$661$	41.6661	−	11.1644i	1.62063	−	0.434245i	0.669440	−	0.742866i	$-0.266534\pi$
$661$	41.6661	−	11.1644i	1.62063	−	0.434245i	0.951185	+	0.308621i	$0.0998674\pi$
$662$	−19.4726	−	11.2425i	−0.756825	−	0.436953i
$663$	1.24319	+	3.86340i	0.0482816	+	0.150042i
$664$			0.209068i			0.00811342i
$665$	−11.6815	−	17.1243i	−0.452989	−	0.664050i
$666$	−13.1959			−0.511332
$667$	31.7655	−	18.3398i	1.22997	−	0.710121i
$668$	0.280045	+	1.04514i	0.0108353	+	0.0404377i
$669$	−0.401495	+	0.107580i	−0.0155227	+	0.00415930i
$670$	−1.40626	+	5.24822i	−0.0543284	+	0.202756i
$671$	−19.7405	−	19.7405i	−0.762075	−	0.762075i
$672$	−2.49170	−	2.14318i	−0.0961193	−	0.0826748i
$673$		−	1.40546i		−	0.0541765i	−0.999633	−	0.0270883i	$-0.991376\pi$
$673$		−	1.40546i		−	0.0541765i	0.999633	−	0.0270883i	$-0.00862352\pi$
$674$	26.6004	+	7.12757i	1.02461	+	0.274544i
$675$	1.79672	−	3.11201i	0.0691557	−	0.119781i
$676$	−1.67278	−	2.33006i	−0.0643377	−	0.0896179i
$677$	24.4518	−	14.1173i	0.939760	−	0.542570i	0.0498746	−	0.998755i	$-0.484118\pi$
$677$	24.4518	−	14.1173i	0.939760	−	0.542570i	0.889885	+	0.456185i	$0.150784\pi$
$678$	−8.46987	+	8.46987i	−0.325283	+	0.325283i
$679$	−9.66196	+	3.38363i	−0.370792	+	0.129852i
$680$			3.95442i			0.151645i
$681$	−0.880854	+	3.28739i	−0.0337544	+	0.125973i
$682$	2.72179	+	10.1578i	0.104223	+	0.388964i
$683$	7.91134	+	29.5255i	0.302719	+	1.12976i	0.934891	+	0.354935i	$0.115497\pi$
$683$	7.91134	+	29.5255i	0.302719	+	1.12976i	−0.632172	+	0.774828i	$0.717836\pi$
$684$	−0.377257	+	1.40794i	−0.0144248	+	0.0538340i
$685$			14.9372i			0.570721i
$686$	−24.6881	−	0.904901i	−0.942595	−	0.0345493i
$687$	9.30087	−	9.30087i	0.354850	−	0.354850i
$688$	−31.4231	+	18.1422i	−1.19800	+	0.691663i
$689$	22.9118	+	20.7478i	0.872869	+	0.790429i
$690$	−4.35086	+	7.53591i	−0.165634	+	0.286887i
$691$	−49.8966	−	13.3698i	−1.89816	−	0.508609i	−0.997207	−	0.0746847i	$-0.976205\pi$
$691$	−49.8966	−	13.3698i	−1.89816	−	0.508609i	−0.900949	−	0.433925i	$-0.857128\pi$
$692$			1.44846i			0.0550622i
$693$	7.51204	−	2.63072i	0.285359	−	0.0999329i
$694$	−0.225505	−	0.225505i	−0.00856005	−	0.00856005i
$695$	1.03801	−	3.87392i	0.0393742	−	0.146946i
$696$	−19.0803	+	5.11255i	−0.723237	+	0.193791i
$697$	−1.42979	−	5.33606i	−0.0541572	−	0.202118i
$698$	29.5977	−	17.0883i	1.12029	−	0.646800i
$699$	23.0370			0.871338
$700$	0.157295	+	2.09181i	0.00594518	+	0.0790631i
$701$			44.5559i			1.68285i	0.540372	+	0.841426i	$0.318283\pi$
$701$			44.5559i			1.68285i	−0.540372	+	0.841426i	$0.681717\pi$
$702$	2.19563	−	4.27912i	0.0828687	−	0.161505i
$703$	−56.5968	−	32.6762i	−2.13459	−	1.23241i
$704$	25.2143	−	6.75616i	0.950301	−	0.254632i
$705$	−4.25498	+	2.45661i	−0.160252	+	0.0925215i
$706$	−22.5193			−0.847524
$707$	16.6560	−	11.3621i	0.626413	−	0.427315i
$708$	1.46489	+	1.46489i	0.0550539	+	0.0550539i
$709$	0.889734	+	0.238403i	0.0334146	+	0.00895343i	0.275488	−	0.961305i	$-0.411161\pi$
$709$	0.889734	+	0.238403i	0.0334146	+	0.00895343i	−0.242073	+	0.970258i	$0.577827\pi$
$710$	16.4603	−	4.41053i	0.617744	−	0.165524i
$711$	−2.95722	+	5.12206i	−0.110905	+	0.192092i
$712$	−20.8969	−	36.1945i	−0.783145	−	1.35645i
$713$	−10.1924	−	10.1924i	−0.381708	−	0.381708i
$714$	0.737558	−	3.90352i	0.0276024	−	0.146086i
$715$	12.5754	+	2.71028i	0.470293	+	0.101359i
$716$	0.530544	+	0.918928i	0.0198273	+	0.0343420i
$717$	6.34170	+	23.6676i	0.236835	+	0.883881i
$718$	−7.42923	+	12.8678i	−0.277256	+	0.480222i
$719$	−3.10354	−	5.37550i	−0.115743	−	0.200472i	0.802334	−	0.596876i	$-0.203591\pi$
$719$	−3.10354	−	5.37550i	−0.115743	−	0.200472i	−0.918076	+	0.396404i	$0.870258\pi$
$720$	2.94358	−	2.94358i	0.109701	−	0.109701i
$721$	2.05078	+	27.2726i	0.0763749	+	1.01569i
$722$	23.2431	−	23.2431i	0.865020	−	0.865020i
$723$	−11.2582	−	3.01662i	−0.418696	−	0.112189i
$724$	0.0378974	+	0.0218801i	0.00140845	+	0.000813166i
$725$	20.7526	+	11.9815i	0.770731	+	0.444982i
$726$	0.673156	−	2.51225i	0.0249832	−	0.0932384i
$727$	−39.3000			−1.45756			−0.728778	−	0.684750i	$-0.759911\pi$
$727$	−39.3000			−1.45756			−0.728778	+	0.684750i	$0.759911\pi$
$728$	3.51114	+	28.0383i	0.130132	+	1.03917i
$729$	−1.00000			−0.0370370
$730$	4.50415	−	16.8097i	0.166706	−	0.622156i
$731$	10.0770	+	5.81796i	0.372712	+	0.215185i
$732$	−1.77322	−	1.02377i	−0.0655402	−	0.0378396i
$733$	35.0716	+	9.39741i	1.29540	+	0.347101i	0.839709	−	0.543037i	$-0.182726\pi$
$733$	35.0716	+	9.39741i	1.29540	+	0.347101i	0.455691	+	0.890138i	$0.349392\pi$
$734$	26.0655	−	26.0655i	0.962094	−	0.962094i
$735$	−0.925322	+	8.25017i	−0.0341310	+	0.304312i
$736$	−4.83145	+	4.83145i	−0.178089	+	0.178089i
$737$	−5.16602	−	8.94781i	−0.190293	−	0.329597i
$738$	−3.27330	+	5.66951i	−0.120492	+	0.208698i
$739$	6.56896	+	24.5157i	0.241643	+	0.901824i	0.975041	+	0.222025i	$0.0712666\pi$
$739$	6.56896	+	24.5157i	0.241643	+	0.901824i	−0.733398	+	0.679800i	$0.762067\pi$
$740$	−1.29433	−	2.24185i	−0.0475806	−	0.0824120i
$741$	20.0131	−	12.9161i	0.735198	−	0.474484i
$742$	−10.0001	−	28.5553i	−0.367114	−	1.04830i
$743$	−5.26962	−	5.26962i	−0.193323	−	0.193323i	0.603807	−	0.797130i	$-0.293650\pi$
$743$	−5.26962	−	5.26962i	−0.193323	−	0.193323i	−0.797130	+	0.603807i	$0.793650\pi$
$744$	3.88130	+	6.72260i	0.142295	+	0.246463i
$745$	13.0139	−	22.5408i	0.476794	−	0.825832i
$746$	−1.89048	+	0.506552i	−0.0692153	+	0.0185462i
$747$	−0.0681745	−	0.0182673i	−0.00249437	−	0.000668365i
$748$	−0.528318	−	0.528318i	−0.0193172	−	0.0193172i
$749$	−0.0122493	−	0.162900i	−0.000447581	−	0.00595224i
$750$	−13.5950			−0.496418
$751$	27.6984	−	15.9917i	1.01073	−	0.583544i	0.0993230	−	0.995055i	$-0.468332\pi$
$751$	27.6984	−	15.9917i	1.01073	−	0.583544i	0.911405	+	0.411511i	$0.134999\pi$
$752$	14.0457	−	3.76353i	0.512193	−	0.137242i
$753$	−19.8573	−	11.4646i	−0.723640	−	0.417794i
$754$	28.5355	+	14.6417i	1.03920	+	0.533218i
$755$		−	20.9924i		−	0.763993i
$756$	0.482244	−	0.328968i	0.0175391	−	0.0119645i
$757$	5.70085			0.207201			0.103600	−	0.994619i	$-0.466964\pi$
$757$	5.70085			0.207201			0.103600	+	0.994619i	$0.466964\pi$
$758$	19.0659	−	11.0077i	0.692504	−	0.399817i
$759$	−4.28272	−	15.9833i	−0.155453	−	0.580158i
$760$	22.4175	−	6.00674i	0.813167	−	0.217887i
$761$	4.39180	−	16.3904i	0.159203	−	0.594152i	−0.839506	−	0.543350i	$-0.817156\pi$
$761$	4.39180	−	16.3904i	0.159203	−	0.594152i	0.998709	−	0.0508021i	$-0.0161778\pi$
$762$	−3.03938	−	3.03938i	−0.110105	−	0.110105i
$763$	−4.18272	−	0.790311i	−0.151424	−	0.0286112i
$764$			2.56897i			0.0929420i
$765$	−1.28949	−	0.345517i	−0.0466214	−	0.0124922i
$766$	−5.21668	+	9.03555i	−0.188486	+	0.326468i
$767$	−1.67587	−	33.8120i	−0.0605122	−	1.22088i
$768$	4.52809	−	2.61429i	0.163393	−	0.0943352i
$769$	9.09198	−	9.09198i	0.327865	−	0.327865i	−0.523909	−	0.851774i	$-0.675527\pi$
$769$	9.09198	−	9.09198i	0.327865	−	0.327865i	0.851774	+	0.523909i	$0.175527\pi$
$770$	−9.54635	−	8.21108i	−0.344027	−	0.295907i
$771$		−	31.8445i		−	1.14685i
$772$	−0.357747	+	1.33513i	−0.0128756	+	0.0480523i
$773$	12.9155	+	48.2012i	0.464538	+	1.73368i	0.658418	+	0.752653i	$0.271226\pi$
$773$	12.9155	+	48.2012i	0.464538	+	1.73368i	−0.193880	+	0.981025i	$0.562107\pi$
$774$	−3.56891	−	13.3194i	−0.128282	−	0.478754i
$775$	2.43727	−	9.09600i	0.0875492	−	0.326738i
$776$		−	11.4616i		−	0.411449i
$777$	8.65075	+	24.7023i	0.310344	+	0.886189i
$778$	−4.21245	+	4.21245i	−0.151024	+	0.151024i
$779$	−28.0781	+	16.2109i	−1.00600	+	0.580815i
$780$	0.942337	−	0.0467063i	0.0337411	−	0.00167235i
$781$	−16.2025	+	28.0636i	−0.579772	+	1.00419i
$782$	−7.97742	−	2.13754i	−0.285272	−	0.0764384i
$783$		−	6.66855i		−	0.238314i
$784$	8.96488	−	22.8763i	0.320174	−	0.817012i
$785$	16.9572	+	16.9572i	0.605229	+	0.605229i
$786$	5.52241	−	20.6099i	0.196978	−	0.735131i
$787$	−12.2786	+	3.29005i	−0.437686	+	0.117278i	−0.470932	−	0.882170i	$-0.656082\pi$
$787$	−12.2786	+	3.29005i	−0.437686	+	0.117278i	0.0332457	+	0.999447i	$0.489416\pi$
$788$	−0.190962	−	0.712680i	−0.00680274	−	0.0253882i
$789$	13.2289	−	7.63772i	0.470962	−	0.271910i
$790$	9.35675			0.332898
$791$	21.4078	+	10.3027i	0.761174	+	0.366323i
$792$			8.91127i			0.316648i
$793$	10.2492	+	31.8508i	0.363959	+	1.13106i
$794$	−29.0468	−	16.7702i	−1.03083	−	0.595151i
$795$	−9.82085	+	2.63149i	−0.348310	+	0.0933293i
$796$	−1.37828	+	0.795749i	−0.0488517	+	0.0282046i
$797$	−14.3133			−0.507002			−0.253501	−	0.967335i	$-0.581582\pi$
$797$	−14.3133			−0.507002			−0.253501	+	0.967335i	$0.581582\pi$
$798$	−23.2493	+	1.74824i	−0.823015	+	0.0618870i
$799$	−3.29735	−	3.29735i	−0.116652	−	0.116652i
$800$	−4.31173	−	1.15533i	−0.152443	−	0.0408469i
$801$	13.6284	−	3.65173i	0.481537	−	0.129027i
$802$	−24.8964	+	43.1219i	−0.879124	+	1.52269i
$803$	16.5465	+	28.6593i	0.583912	+	1.01136i
$804$	−0.535833	−	0.535833i	−0.0188974	−	0.0188974i
$805$	16.9592	+	3.20439i	0.597733	+	0.112940i
$806$	2.65542	−	12.3209i	0.0935333	−	0.433984i
$807$	−7.93034	−	13.7358i	−0.279161	−	0.483521i
$808$	5.84249	+	21.8045i	0.205538	+	0.767078i
$809$	18.7513	−	32.4782i	0.659260	−	1.14187i	−0.321547	−	0.946894i	$-0.604203\pi$
$809$	18.7513	−	32.4782i	0.659260	−	1.14187i	0.980807	−	0.194979i	$-0.0624638\pi$
$810$	0.791009	+	1.37007i	0.0277932	+	0.0481392i
$811$	29.9919	−	29.9919i	1.05316	−	1.05316i	0.0546544	−	0.998505i	$-0.482594\pi$
$811$	29.9919	−	29.9919i	1.05316	−	1.05316i	0.998505	−	0.0546544i	$-0.0174057\pi$
$812$	2.19374	+	3.21587i	0.0769852	+	0.112855i
$813$	−9.57015	+	9.57015i	−0.335640	+	0.335640i
$814$	−38.3454	−	10.2746i	−1.34400	−	0.360125i
$815$	3.86423	+	2.23102i	0.135358	+	0.0781491i
$816$	3.42165	+	1.97549i	0.119782	+	0.0691559i
$817$	17.6749	−	65.9636i	0.618366	−	2.30778i
$818$	22.3826			0.782589
$819$	−9.44972	−	1.30490i	−0.330200	−	0.0455971i
$820$	−1.28425			−0.0448481
$821$	7.19390	−	26.8480i	0.251069	−	0.937002i	−0.719167	−	0.694838i	$-0.755476\pi$
$821$	7.19390	−	26.8480i	0.251069	−	0.937002i	0.970235	−	0.242164i	$-0.0778572\pi$
$822$	14.5496	+	8.40023i	0.507476	+	0.292992i
$823$	−9.35527	−	5.40127i	−0.326104	−	0.188276i	0.328006	−	0.944676i	$-0.393623\pi$
$823$	−9.35527	−	5.40127i	−0.326104	−	0.188276i	−0.654110	+	0.756399i	$0.726957\pi$
$824$	−29.5772	−	7.92518i	−1.03037	−	0.276087i
$825$	7.64407	−	7.64407i	0.266132	−	0.266132i
$826$	−14.3700	+	29.8590i	−0.499996	+	1.03893i
$827$	16.8087	−	16.8087i	0.584497	−	0.584497i	−0.351639	−	0.936136i	$-0.614375\pi$
$827$	16.8087	−	16.8087i	0.584497	−	0.584497i	0.936136	+	0.351639i	$0.114375\pi$
$828$	−0.606809	−	1.05102i	−0.0210881	−	0.0365256i
$829$	−5.82504	+	10.0893i	−0.202312	+	0.350414i	−0.949273	−	0.314453i	$-0.898179\pi$
$829$	−5.82504	+	10.0893i	−0.202312	+	0.350414i	0.746961	+	0.664868i	$0.231512\pi$
$830$	0.0288992	+	0.107853i	0.00100310	+	0.00374364i
$831$	−7.62280	−	13.2031i	−0.264432	−	0.458009i
$832$	−30.5835	−	6.59143i	−1.06029	−	0.228517i
$833$	−7.79076	+	1.17832i	−0.269934	+	0.0408264i
$834$	−3.18966	−	3.18966i	−0.110449	−	0.110449i
$835$	2.90799	+	5.03678i	0.100635	+	0.174305i
$836$	−2.19250	+	3.79753i	−0.0758293	+	0.131340i
$837$	−2.53128	+	0.678255i	−0.0874939	+	0.0234439i
$838$	−0.902587	−	0.241848i	−0.0311794	−	0.00835448i
$839$	−33.5006	−	33.5006i	−1.15657	−	1.15657i	−0.985209	−	0.171360i	$-0.945184\pi$
$839$	−33.5006	−	33.5006i	−1.15657	−	1.15657i	−0.171360	−	0.985209i	$-0.554816\pi$
$840$	−8.37532	−	4.03072i	−0.288976	−	0.139073i
$841$	15.4695			0.533432
$842$	−34.7784	+	20.0793i	−1.19854	+	0.691979i
$843$	−25.3990	+	6.80564i	−0.874787	+	0.234399i
$844$	2.00778	+	1.15919i	0.0691107	+	0.0399011i
$845$	−11.9267	−	9.77055i	−0.410290	−	0.336117i
$846$			5.52611i			0.189991i
$847$	−5.14414	+	0.386815i	−0.176755	+	0.0132911i
$848$	30.0910			1.03333
$849$	−11.7379	+	6.77687i	−0.402843	+	0.232582i
$850$	−1.39647	−	5.21169i	−0.0478985	−	0.178760i
$851$	52.5589	−	14.0831i	1.80170	−	0.482763i
$852$	−0.615130	+	2.29570i	−0.0210740	+	0.0786493i
$853$	2.80009	+	2.80009i	0.0958732	+	0.0958732i	0.753417	−	0.657543i	$-0.228404\pi$
$853$	2.80009	+	2.80009i	0.0958732	+	0.0958732i	−0.657543	+	0.753417i	$0.728404\pi$
$854$	6.08062	−	32.1816i	0.208074	−	1.10123i
$855$			7.83488i			0.267947i
$856$	0.176665	+	0.0473372i	0.00603828	+	0.00161795i
$857$	17.5452	−	30.3892i	0.599333	−	1.03808i	−0.393587	−	0.919288i	$-0.628766\pi$
$857$	17.5452	−	30.3892i	0.599333	−	1.03808i	0.992920	−	0.118788i	$-0.0379008\pi$
$858$	9.71198	−	10.7249i	0.331561	−	0.366143i
$859$	−40.4216	+	23.3374i	−1.37917	+	0.796262i	−0.992059	−	0.125772i	$-0.959859\pi$
$859$	−40.4216	+	23.3374i	−1.37917	+	0.796262i	−0.387108	+	0.922035i	$0.626526\pi$
$860$	1.91276	−	1.91276i	0.0652245	−	0.0652245i
$861$	12.7590	+	2.41077i	0.434824	+	0.0821587i
$862$			41.3685i			1.40902i
$863$	7.90527	−	29.5029i	0.269098	−	1.00429i	−0.690595	−	0.723241i	$-0.742651\pi$
$863$	7.90527	−	29.5029i	0.269098	−	1.00429i	0.959694	−	0.281048i	$-0.0906819\pi$
$864$	0.321510	+	1.19989i	0.0109380	+	0.0408211i
$865$	2.01509	+	7.52042i	0.0685151	+	0.255702i
$866$	5.12616	−	19.1311i	0.174194	−	0.650100i
$867$			15.7330i			0.534320i
$868$	0.997572	−	1.15980i	0.0338598	−	0.0393660i
$869$	−12.5814	+	12.5814i	−0.426794	+	0.426794i
$870$	−9.13636	+	5.27488i	−0.309752	+	0.178835i
$871$	0.613006	+	12.3679i	0.0207709	+	0.419070i
$872$	2.38291	−	4.12731i	0.0806953	−	0.139768i
$873$	3.73749	+	1.00146i	0.126495	+	0.0338942i
$874$			48.4706i			1.63954i
$875$	8.91234	+	25.4493i	0.301292	+	0.860342i
$876$	1.71624	+	1.71624i	0.0579864	+	0.0579864i
$877$	12.4828	−	46.5866i	0.421516	−	1.57312i	−0.349900	−	0.936787i	$-0.613785\pi$
$877$	12.4828	−	46.5866i	0.421516	−	1.57312i	0.771416	−	0.636331i	$-0.219549\pi$
$878$	−1.87008	+	0.501086i	−0.0631121	+	0.0169108i
$879$	6.22282	+	23.2239i	0.209891	+	0.783322i
$880$	10.8455	−	6.26167i	0.365603	−	0.211081i
$881$	−28.4903			−0.959862			−0.479931	−	0.877306i	$-0.659338\pi$
$881$	−28.4903			−0.959862			−0.479931	+	0.877306i	$0.659338\pi$
$882$	7.51574	+	5.54096i	0.253068	+	0.186574i
$883$		−	7.36217i		−	0.247757i	−0.992297	−	0.123878i	$-0.960467\pi$
$883$		−	7.36217i		−	0.247757i	0.992297	−	0.123878i	$-0.0395333\pi$
$884$	0.274300	+	0.852427i	0.00922571	+	0.0286702i
$885$	9.64367	+	5.56777i	0.324168	+	0.187159i
$886$	−7.50435	+	2.01078i	−0.252114	+	0.0675536i
$887$	−4.66102	+	2.69104i	−0.156502	+	0.0903563i	−0.576206	−	0.817305i	$-0.695467\pi$
$887$	−4.66102	+	2.69104i	−0.156502	+	0.0903563i	0.419704	+	0.907661i	$0.362134\pi$
$888$	−29.3034			−0.983359
$889$	−3.69710	+	7.68210i	−0.123997	+	0.257650i
$890$	−15.7833	−	15.7833i	−0.529058	−	0.529058i
$891$	−2.90585	−	0.778620i	−0.0973496	−	0.0260848i
$892$	−0.0885867	+	0.0237367i	−0.00296610	+	0.000794765i
$893$	−13.6839	+	23.7012i	−0.457915	+	0.793132i
$894$	−14.6373	−	25.3526i	−0.489545	−	0.847916i
$895$	4.03299	+	4.03299i	0.134808	+	0.134808i
$896$	18.2334	+	15.6831i	0.609137	+	0.523935i
$897$	−4.17830	+	19.3868i	−0.139509	+	0.647307i
$898$	−9.26671	−	16.0504i	−0.309234	−	0.535609i
$899$	−4.52298	−	16.8800i	−0.150850	−	0.562979i
$900$	0.396431	−	0.686639i	0.0132144	−	0.0228880i
$901$	−4.82491	−	8.35698i	−0.160741	−	0.278412i
$902$	−13.9261	+	13.9261i	−0.463688	+	0.463688i
$903$	−22.5937	+	15.4125i	−0.751871	+	0.512897i
$904$	−18.8085	+	18.8085i	−0.625563	+	0.625563i
$905$	0.227203	+	0.0608789i	0.00755248	+	0.00202368i
$906$	−20.4478	−	11.8055i	−0.679331	−	0.392212i
$907$	51.4379	+	29.6977i	1.70797	+	0.986096i	0.937073	+	0.349134i	$0.113524\pi$
$907$	51.4379	+	29.6977i	1.70797	+	0.986096i	0.770895	+	0.636962i	$0.219809\pi$
$908$	−0.194353	+	0.725336i	−0.00644984	+	0.0240711i
$909$	−7.62064			−0.252761
$910$	5.68700	+	13.9789i	0.188522	+	0.463397i
$911$	48.7499			1.61516			0.807579	−	0.589760i	$-0.200778\pi$
$911$	48.7499			1.61516			0.807579	+	0.589760i	$0.200778\pi$
$912$	6.00151	−	22.3979i	0.198730	−	0.741670i
$913$	−0.183881	−	0.106164i	−0.00608559	−	0.00351352i
$914$	−6.54735	−	3.78011i	−0.216567	−	0.125035i
$915$	−10.6308	−	2.84853i	−0.351445	−	0.0941694i
$916$	2.05216	−	2.05216i	0.0678053	−	0.0678053i
$917$	−42.2013	+	3.17334i	−1.39361	+	0.104793i
$918$	−1.06172	+	1.06172i	−0.0350420	+	0.0350420i
$919$	−1.67312	−	2.89793i	−0.0551911	−	0.0955938i	0.837110	−	0.547035i	$-0.184243\pi$
$919$	−1.67312	−	2.89793i	−0.0551911	−	0.0955938i	−0.892301	+	0.451441i	$0.850910\pi$
$920$	−9.66170	+	16.7346i	−0.318537	+	0.551722i
$921$	2.56328	+	9.56631i	0.0844631	+	0.315220i
$922$	−9.37976	−	16.2462i	−0.308906	−	0.535041i
$923$	32.6320	−	21.0601i	1.07409	−	0.693202i
$924$	1.65747	−	0.580447i	0.0545268	−	0.0190953i
$925$	25.1364	+	25.1364i	0.826480	+	0.826480i
$926$	0.495606	+	0.858415i	0.0162866	+	0.0282093i
$927$	5.16860	−	8.95227i	0.169759	−	0.294031i
$928$	−8.00153	+	2.14400i	−0.262663	+	0.0703804i
$929$	49.0726	+	13.1490i	1.61002	+	0.431403i	0.948048	−	0.318127i	$-0.103054\pi$
$929$	49.0726	+	13.1490i	1.61002	+	0.431403i	0.661970	+	0.749530i	$0.269721\pi$
$930$	2.93152	+	2.93152i	0.0961283	+	0.0961283i
$931$	18.5140	+	42.3757i	0.606771	+	1.38881i
$932$	5.08292			0.166497
$933$	1.33761	−	0.772268i	0.0437913	−	0.0252829i
$934$	33.8676	−	9.07479i	1.10818	−	0.296936i
$935$	−3.47802	−	2.00804i	−0.113744	−	0.0656699i
$936$	4.87571	−	9.50239i	0.159367	−	0.310595i
$937$		−	0.109548i		−	0.00357876i	−0.999998	−	0.00178938i	$-0.999430\pi$
$937$		−	0.109548i		−	0.00357876i	0.999998	−	0.00178938i	$-0.000569578\pi$
$938$	5.25632	−	10.9220i	0.171625	−	0.356615i
$939$	5.52696			0.180366
$940$	−0.938827	+	0.542032i	−0.0306212	+	0.0176791i
$941$	−8.09351	−	30.2054i	−0.263841	−	0.984668i	−0.962956	−	0.269659i	$-0.913089\pi$
$941$	−8.09351	−	30.2054i	−0.263841	−	0.984668i	0.699115	−	0.715009i	$-0.253577\pi$
$942$	26.0535	−	6.98100i	0.848868	−	0.227453i
$943$	6.98673	−	26.0748i	0.227519	−	0.849113i
$944$	−23.3039	−	23.3039i	−0.758477	−	0.758477i
$945$	2.04616	−	2.37890i	0.0665615	−	0.0773857i
$946$		−	41.4829i		−	1.34872i
$947$	7.56357	+	2.02665i	0.245783	+	0.0658573i	0.379607	−	0.925148i	$-0.376059\pi$
$947$	7.56357	+	2.02665i	0.245783	+	0.0658573i	−0.133824	+	0.991005i	$0.542726\pi$
$948$	−0.652487	+	1.13014i	−0.0211918	+	0.0367053i
$949$	−1.96342	−	39.6136i	−0.0637354	−	1.28591i
$950$	−27.4237	+	15.8331i	−0.889741	+	0.513692i
$951$	5.98810	−	5.98810i	0.194177	−	0.194177i
$952$	1.63785	−	8.66832i	0.0530831	−	0.280942i
$953$		−	7.42093i		−	0.240387i	−0.992750	−	0.120194i	$-0.961648\pi$
$953$		−	7.42093i		−	0.240387i	0.992750	−	0.120194i	$-0.0383516\pi$
$954$	−2.95974	+	11.0459i	−0.0958252	+	0.357624i
$955$	3.57393	+	13.3381i	0.115650	+	0.431611i
$956$	1.39924	+	5.22205i	0.0452548	+	0.168893i
$957$	5.19226	−	19.3778i	0.167842	−	0.626395i
$958$		−	35.3855i		−	1.14325i
$959$	6.18672	−	32.7432i	0.199780	−	1.05733i
$960$	7.27677	−	7.27677i	0.234857	−	0.234857i
$961$	20.8994	−	12.0663i	0.674175	−	0.389235i
$962$	35.2674	+	31.9364i	1.13707	+	1.02967i
$963$	−0.0308721	+	0.0534721i	−0.000994840	+	0.00172311i
$964$	−2.48402	−	0.665592i	−0.0800050	−	0.0214373i
$965$			7.42970i			0.239170i
$966$	12.6586	−	14.7171i	0.407284	−	0.473516i
$967$	−29.1477	−	29.1477i	−0.937328	−	0.937328i	0.0608210	−	0.998149i	$-0.480628\pi$
$967$	−29.1477	−	29.1477i	−0.937328	−	0.937328i	−0.998149	+	0.0608210i	$0.980628\pi$
$968$	1.49484	−	5.57881i	0.0480459	−	0.179310i
$969$	−7.18273	+	1.92461i	−0.230743	+	0.0618273i
$970$	−1.58432	−	5.91278i	−0.0508696	−	0.189848i
$971$	−46.3753	+	26.7748i	−1.48825	+	0.859244i	−0.999910	−	0.0134071i	$-0.995732\pi$
$971$	−46.3753	+	26.7748i	−1.48825	+	0.859244i	−0.488344	+	0.872651i	$0.662399\pi$
$972$	−0.220642			−0.00707709
$973$	−3.87990	+	8.06195i	−0.124384	+	0.258454i
$974$		−	23.0043i		−	0.737107i
$975$	−12.3335	+	3.96876i	−0.394988	+	0.127102i
$976$	28.2089	+	16.2864i	0.902946	+	0.521316i
$977$	−18.9082	+	5.06644i	−0.604927	+	0.162090i	−0.548266	−	0.836304i	$-0.684712\pi$
$977$	−18.9082	+	5.06644i	−0.604927	+	0.162090i	−0.0566606	+	0.998393i	$0.518045\pi$
$978$	4.34626	−	2.50931i	0.138978	−	0.0802390i
$979$	42.4455			1.35656
$980$	−0.204165	+	1.82033i	−0.00652180	+	0.0581484i
$981$	1.13766	+	1.13766i	0.0363226	+	0.0363226i
$982$	17.1218	+	4.58778i	0.546380	+	0.146402i
$983$	−8.06691	+	2.16152i	−0.257295	+	0.0689419i	−0.385161	−	0.922850i	$-0.625854\pi$
$983$	−8.06691	+	2.16152i	−0.257295	+	0.0689419i	0.127866	+	0.991791i	$0.459187\pi$
$984$	−7.26882	+	12.5900i	−0.231721	+	0.401353i
$985$	−1.98295	−	3.43458i	−0.0631822	−	0.109435i
$986$	−7.08013	−	7.08013i	−0.225477	−	0.225477i
$987$	10.3447	−	3.62271i	0.329274	−	0.115312i
$988$	4.41572	−	2.84983i	0.140483	−	0.0906651i
$989$	28.4297	+	49.2416i	0.904011	+	1.56579i
$990$	1.23179	+	4.59710i	0.0391489	+	0.146106i
$991$	−19.8367	+	34.3583i	−0.630135	+	1.09143i	0.357389	+	0.933956i	$0.383667\pi$
$991$	−19.8367	+	34.3583i	−0.630135	+	1.09143i	−0.987524	+	0.157470i	$0.949666\pi$
$992$	1.62766	+	2.81920i	0.0516784	+	0.0895096i
$993$	11.9192	−	11.9192i	0.378244	−	0.378244i
$994$	−37.9087	+	2.85056i	−1.20239	+	0.0904144i
$995$	−6.04898	+	6.04898i	−0.191766	+	0.191766i
$996$	−0.0150421	−	0.00403053i	−0.000476629	−	0.000127712i
$997$	−10.0314	−	5.79166i	−0.317699	−	0.183424i	0.332668	−	0.943044i	$-0.392051\pi$
$997$	−10.0314	−	5.79166i	−0.317699	−	0.183424i	−0.650366	+	0.759621i	$0.725385\pi$
$998$	33.5487	+	19.3693i	1.06196	+	0.613126i
$999$	2.56038	−	9.55547i	0.0810068	−	0.302322i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bz.a.73.7	✓	36
3.2	odd	2		819.2.fn.f.73.3		36
7.5	odd	6		273.2.bz.b.229.3	yes	36
13.5	odd	4		273.2.bz.b.31.3	yes	36
21.5	even	6		819.2.fn.g.775.7		36
39.5	even	4		819.2.fn.g.577.7		36
91.5	even	12	inner	273.2.bz.a.187.7	yes	36
273.5	odd	12		819.2.fn.f.460.3		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.73.7	✓	36	1.1	even	1	trivial
273.2.bz.a.187.7	yes	36	91.5	even	12	inner
273.2.bz.b.31.3	yes	36	13.5	odd	4
273.2.bz.b.229.3	yes	36	7.5	odd	6
819.2.fn.f.73.3		36	3.2	odd	2
819.2.fn.f.460.3		36	273.5	odd	12
819.2.fn.g.577.7		36	39.5	even	4
819.2.fn.g.775.7		36	21.5	even	6

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bz (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.345245 - 1.28847i) q^{2} +(0.866025 + 0.500000i) q^{3} +(0.191081 + 0.110321i) q^{4} +(1.14557 + 0.306956i) q^{5} +(0.943228 - 0.943228i) q^{6} +(-2.38403 - 1.14734i) q^{7} +(2.09457 - 2.09457i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(0.345245 - 1.28847i) q^{2} +(0.866025 + 0.500000i) q^{3} +(0.191081 + 0.110321i) q^{4} +(1.14557 + 0.306956i) q^{5} +(0.943228 - 0.943228i) q^{6} +(-2.38403 - 1.14734i) q^{7} +(2.09457 - 2.09457i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.791009 - 1.37007i) q^{10} +(0.778620 + 2.90585i) q^{11} +(0.110321 + 0.191081i) q^{12} +(0.759635 - 3.52462i) q^{13} +(-2.30140 + 2.67565i) q^{14} +(0.838619 + 0.838619i) q^{15} +(-1.75502 - 3.03978i) q^{16} +(-0.562812 + 0.974818i) q^{17} +(1.28847 - 0.345245i) q^{18} +(6.38112 + 1.70982i) q^{19} +(0.185034 + 0.185034i) q^{20} +(-1.49096 - 2.18564i) q^{21} +4.01292 q^{22} +(-4.76348 + 2.75020i) q^{23} +(2.86124 - 0.766666i) q^{24} +(-3.11201 - 1.79672i) q^{25} +(-4.27912 - 2.19563i) q^{26} +1.00000i q^{27} +(-0.328968 - 0.482244i) q^{28} -6.66855 q^{29} +(1.37007 - 0.791009i) q^{30} +(0.678255 + 2.53128i) q^{31} +(1.19989 - 0.321510i) q^{32} +(-0.778620 + 2.90585i) q^{33} +(1.06172 + 1.06172i) q^{34} +(-2.37890 - 2.04616i) q^{35} +0.220642i q^{36} +(-9.55547 - 2.56038i) q^{37} +(4.40610 - 7.63159i) q^{38} +(2.42017 - 2.67259i) q^{39} +(3.04243 - 1.75655i) q^{40} +(-3.47031 + 3.47031i) q^{41} +(-3.33089 + 1.16648i) q^{42} -10.3373i q^{43} +(-0.171796 + 0.641152i) q^{44} +(0.306956 + 1.14557i) q^{45} +(1.89899 + 7.08712i) q^{46} +(-1.07222 + 4.00158i) q^{47} -3.51003i q^{48} +(4.36721 + 5.47060i) q^{49} +(-3.38943 + 3.38943i) q^{50} +(-0.974818 + 0.562812i) q^{51} +(0.533992 - 0.589686i) q^{52} +(-4.28643 + 7.42432i) q^{53} +(1.28847 + 0.345245i) q^{54} +3.56787i q^{55} +(-7.39671 + 2.59033i) q^{56} +(4.67130 + 4.67130i) q^{57} +(-2.30229 + 8.59225i) q^{58} +(9.06934 - 2.43012i) q^{59} +(0.0677273 + 0.252762i) q^{60} +(-8.03666 + 4.63997i) q^{61} +3.49565 q^{62} +(-0.198388 - 2.63830i) q^{63} -8.67709i q^{64} +(1.95212 - 3.80454i) q^{65} +(3.47529 + 2.00646i) q^{66} +(-3.31742 + 0.888900i) q^{67} +(-0.215086 + 0.124180i) q^{68} -5.50040 q^{69} +(-3.45772 + 2.35873i) q^{70} +(7.61672 + 7.61672i) q^{71} +(2.86124 + 0.766666i) q^{72} +(10.6255 - 2.84709i) q^{73} +(-6.59796 + 11.4280i) q^{74} +(-1.79672 - 3.11201i) q^{75} +(1.03068 + 1.03068i) q^{76} +(1.47775 - 7.82098i) q^{77} +(-2.60801 - 4.04103i) q^{78} +(2.95722 + 5.12206i) q^{79} +(-1.07742 - 4.02100i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(3.27330 + 5.66951i) q^{82} +(-0.0499072 + 0.0499072i) q^{83} +(-0.0437727 - 0.582120i) q^{84} +(-0.943969 + 0.943969i) q^{85} +(-13.3194 - 3.56891i) q^{86} +(-5.77513 - 3.33427i) q^{87} +(7.71739 + 4.45563i) q^{88} +(3.65173 - 13.6284i) q^{89} +1.58202 q^{90} +(-5.85494 + 7.53125i) q^{91} -1.21362 q^{92} +(-0.678255 + 2.53128i) q^{93} +(4.78575 + 2.76305i) q^{94} +(6.78521 + 3.91744i) q^{95} +(1.19989 + 0.321510i) q^{96} +(2.73604 - 2.73604i) q^{97} +(8.55648 - 3.73834i) q^{98} +(-2.12723 + 2.12723i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q - 6 * q^7 + 18 * q^9	\( 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

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