LMFDB - Embedded newform 273.2.bt.a.271.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(136,273)]

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, 5]))

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

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

chi := DirichletCharacter("273.136");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bt (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			271.4
Character	$\chi$	$=$	273.271
Dual form			273.2.bt.a.136.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.411775 - 0.411775i) q^{2} +(0.866025 + 0.500000i) q^{3} -1.66088i q^{4} +(-0.180309 - 0.672922i) q^{5} +(-0.150720 - 0.562494i) q^{6} +(2.60113 - 0.483875i) q^{7} +(-1.50746 + 1.50746i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.411775 - 0.411775i) q^{2} +(0.866025 + 0.500000i) q^{3} -1.66088i q^{4} +(-0.180309 - 0.672922i) q^{5} +(-0.150720 - 0.562494i) q^{6} +(2.60113 - 0.483875i) q^{7} +(-1.50746 + 1.50746i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.202846 + 0.351339i) q^{10} +(-0.230214 - 0.859171i) q^{11} +(0.830442 - 1.43837i) q^{12} +(0.659853 - 3.54466i) q^{13} +(-1.27033 - 0.871831i) q^{14} +(0.180309 - 0.672922i) q^{15} -2.08030 q^{16} -0.0460661 q^{17} +(0.150720 - 0.562494i) q^{18} +(-0.843398 - 0.225988i) q^{19} +(-1.11765 + 0.299472i) q^{20} +(2.49458 + 0.881516i) q^{21} +(-0.258989 + 0.448581i) q^{22} -3.19116i q^{23} +(-2.05923 + 0.551768i) q^{24} +(3.90981 - 2.25733i) q^{25} +(-1.73131 + 1.18789i) q^{26} +1.00000i q^{27} +(-0.803659 - 4.32017i) q^{28} +(4.08244 + 7.07099i) q^{29} +(-0.351339 + 0.202846i) q^{30} +(3.90039 + 1.04511i) q^{31} +(3.87153 + 3.87153i) q^{32} +(0.230214 - 0.859171i) q^{33} +(0.0189689 + 0.0189689i) q^{34} +(-0.794617 - 1.66311i) q^{35} +(1.43837 - 0.830442i) q^{36} +(-4.97904 + 4.97904i) q^{37} +(0.254234 + 0.440346i) q^{38} +(2.34378 - 2.73984i) q^{39} +(1.28621 + 0.742594i) q^{40} +(-8.56284 - 2.29441i) q^{41} +(-0.664219 - 1.39019i) q^{42} +(1.29226 + 0.746085i) q^{43} +(-1.42698 + 0.382359i) q^{44} +(0.492613 - 0.492613i) q^{45} +(-1.31404 + 1.31404i) q^{46} +(-12.1286 + 3.24985i) q^{47} +(-1.80159 - 1.04015i) q^{48} +(6.53173 - 2.51724i) q^{49} +(-2.53947 - 0.680450i) q^{50} +(-0.0398944 - 0.0230331i) q^{51} +(-5.88726 - 1.09594i) q^{52} +(4.89224 + 8.47362i) q^{53} +(0.411775 - 0.411775i) q^{54} +(-0.536646 + 0.309833i) q^{55} +(-3.19167 + 4.65051i) q^{56} +(-0.617410 - 0.617410i) q^{57} +(1.23061 - 4.59270i) q^{58} +(6.25586 + 6.25586i) q^{59} +(-1.11765 - 0.299472i) q^{60} +(0.877507 - 0.506629i) q^{61} +(-1.17573 - 2.03643i) q^{62} +(1.71961 + 2.01071i) q^{63} +0.972206i q^{64} +(-2.50426 + 0.195103i) q^{65} +(-0.448581 + 0.258989i) q^{66} +(2.42048 - 0.648566i) q^{67} +0.0765105i q^{68} +(1.59558 - 2.76363i) q^{69} +(-0.357623 + 1.01203i) q^{70} +(-0.798336 + 0.213913i) q^{71} +(-2.05923 - 0.551768i) q^{72} +(-4.09226 + 15.2725i) q^{73} +4.10048 q^{74} +4.51466 q^{75} +(-0.375340 + 1.40079i) q^{76} +(-1.01455 - 2.12342i) q^{77} +(-2.09330 + 0.163087i) q^{78} +(-4.73655 + 8.20394i) q^{79} +(0.375097 + 1.39988i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(2.58118 + 4.47074i) q^{82} +(-3.50364 + 3.50364i) q^{83} +(1.46410 - 4.14321i) q^{84} +(0.00830614 + 0.0309989i) q^{85} +(-0.224900 - 0.839337i) q^{86} +8.16487i q^{87} +(1.64220 + 0.948127i) q^{88} +(-3.69759 - 3.69759i) q^{89} -0.405691 q^{90} +(0.00119323 - 9.53939i) q^{91} -5.30014 q^{92} +(2.85528 + 2.85528i) q^{93} +(6.33246 + 3.65605i) q^{94} +0.608289i q^{95} +(1.41708 + 5.28861i) q^{96} +(-0.288642 - 1.07723i) q^{97} +(-3.72614 - 1.65306i) q^{98} +(0.628957 - 0.628957i) 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} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) $ 36 * q + 6 * q^7 + 18 * q^9 - 8 * q^11 - 16 * q^12 + 42 * q^14 - 24 * q^16 - 8 * q^17 - 18 * q^19 + 14 * q^20 - 4 * q^21 + 4 * q^22 + 18 * q^24 + 24 * q^25 - 50 * q^26 + 34 * q^28 + 8 * q^29 + 6 * q^31 - 50 * q^32 + 8 * q^33 - 24 * q^34 + 14 * q^35 - 14 * q^37 - 8 * q^38 - 2 * q^39 - 30 * q^40 + 34 * q^41 - 18 * q^42 + 30 * q^43 + 28 * q^44 - 32 * q^46 - 10 * q^47 + 24 * q^48 + 6 * q^49 - 20 * q^50 - 24 * q^51 + 4 * q^52 - 8 * q^53 - 30 * q^55 - 92 * q^56 - 24 * q^57 + 72 * q^58 - 70 * q^59 + 14 * q^60 - 60 * q^61 - 48 * q^62 + 6 * q^63 - 44 * q^65 + 18 * q^66 - 46 * q^67 + 4 * q^69 + 80 * q^70 + 42 * q^71 + 18 * q^72 - 56 * q^73 + 40 * q^74 - 20 * q^75 + 12 * q^76 + 24 * q^77 - 16 * q^78 + 170 * q^80 - 18 * q^81 + 24 * q^82 - 60 * q^83 + 2 * q^85 + 12 * q^86 + 84 * q^88 + 64 * q^89 - 86 * q^91 - 100 * q^92 + 12 * q^93 - 66 * q^94 + 46 * q^96 + 36 * q^97 - 22 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.411775	−	0.411775i	−0.291169	−	0.291169i	0.546373	−	0.837542i	$-0.316008\pi$
$2$	−0.411775	−	0.411775i	−0.291169	−	0.291169i	−0.837542	+	0.546373i	$0.816008\pi$
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$4$		−	1.66088i		−	0.830442i
$5$	−0.180309	−	0.672922i	−0.0806367	−	0.300940i	0.913816	−	0.406129i	$-0.133122\pi$
$5$	−0.180309	−	0.672922i	−0.0806367	−	0.300940i	−0.994452	+	0.105189i	$0.966455\pi$
$6$	−0.150720	−	0.562494i	−0.0615312	−	0.229637i
$7$	2.60113	−	0.483875i	0.983134	−	0.182887i
$7$	2.60113	−	0.483875i	0.983134	−	0.182887i
$8$	−1.50746	+	1.50746i	−0.532967	+	0.532967i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−0.202846	+	0.351339i	−0.0641454	+	0.111103i
$11$	−0.230214	−	0.859171i	−0.0694122	−	0.259050i	0.922496	−	0.386007i	$-0.126146\pi$
$11$	−0.230214	−	0.859171i	−0.0694122	−	0.259050i	−0.991908	+	0.126957i	$0.959479\pi$
$12$	0.830442	−	1.43837i	0.239728	−	0.415221i
$13$	0.659853	−	3.54466i	0.183010	−	0.983111i
$13$	0.659853	−	3.54466i	0.183010	−	0.983111i
$14$	−1.27033	−	0.871831i	−0.339509	−	0.233007i
$15$	0.180309	−	0.672922i	0.0465556	−	0.173748i
$16$	−2.08030			−0.520075
$17$	−0.0460661			−0.0111727			−0.00558634	−	0.999984i	$-0.501778\pi$
$17$	−0.0460661			−0.0111727			−0.00558634	+	0.999984i	$0.501778\pi$
$18$	0.150720	−	0.562494i	0.0355250	−	0.132581i
$19$	−0.843398	−	0.225988i	−0.193489	−	0.0518452i	0.160773	−	0.986991i	$-0.448601\pi$
$19$	−0.843398	−	0.225988i	−0.193489	−	0.0518452i	−0.354262	+	0.935146i	$0.615268\pi$
$20$	−1.11765	+	0.299472i	−0.249913	+	0.0669640i
$21$	2.49458	+	0.881516i	0.544362	+	0.192363i
$22$	−0.258989	+	0.448581i	−0.0552165	+	0.0956379i
$23$		−	3.19116i		−	0.665403i	−0.943032	−	0.332701i	$-0.892040\pi$
$23$		−	3.19116i		−	0.665403i	0.943032	−	0.332701i	$-0.107960\pi$
$24$	−2.05923	+	0.551768i	−0.420338	+	0.112629i
$25$	3.90981	−	2.25733i	0.781963	−	0.451466i
$26$	−1.73131	+	1.18789i	−0.339538	+	0.232964i
$27$			1.00000i			0.192450i
$28$	−0.803659	−	4.32017i	−0.151877	−	0.816435i
$29$	4.08244	+	7.07099i	0.758090	+	1.31305i	0.943824	+	0.330450i	$0.107200\pi$
$29$	4.08244	+	7.07099i	0.758090	+	1.31305i	−0.185734	+	0.982600i	$0.559466\pi$
$30$	−0.351339	+	0.202846i	−0.0641454	+	0.0370344i
$31$	3.90039	+	1.04511i	0.700531	+	0.187707i	0.591468	−	0.806328i	$-0.298548\pi$
$31$	3.90039	+	1.04511i	0.700531	+	0.187707i	0.109063	+	0.994035i	$0.465215\pi$
$32$	3.87153	+	3.87153i	0.684397	+	0.684397i
$33$	0.230214	−	0.859171i	0.0400752	−	0.149563i
$34$	0.0189689	+	0.0189689i	0.00325313	+	0.00325313i
$35$	−0.794617	−	1.66311i	−0.134315	−	0.281117i
$36$	1.43837	−	0.830442i	0.239728	−	0.138407i
$37$	−4.97904	+	4.97904i	−0.818549	+	0.818549i	−0.985898	−	0.167349i	$-0.946479\pi$
$37$	−4.97904	+	4.97904i	−0.818549	+	0.818549i	0.167349	+	0.985898i	$0.446479\pi$
$38$	0.254234	+	0.440346i	0.0412422	+	0.0714335i
$39$	2.34378	−	2.73984i	0.375305	−	0.438725i
$40$	1.28621	+	0.742594i	0.203368	+	0.117414i
$41$	−8.56284	−	2.29441i	−1.33729	−	0.358326i	−0.481863	−	0.876247i	$-0.660040\pi$
$41$	−8.56284	−	2.29441i	−1.33729	−	0.358326i	−0.855429	+	0.517921i	$0.826706\pi$
$42$	−0.664219	−	1.39019i	−0.102491	−	0.214511i
$43$	1.29226	+	0.746085i	0.197067	+	0.113777i	0.595287	−	0.803513i	$-0.297038\pi$
$43$	1.29226	+	0.746085i	0.197067	+	0.113777i	−0.398219	+	0.917290i	$0.630372\pi$
$44$	−1.42698	+	0.382359i	−0.215126	+	0.0576428i
$45$	0.492613	−	0.492613i	0.0734345	−	0.0734345i
$46$	−1.31404	+	1.31404i	−0.193744	+	0.193744i
$47$	−12.1286	+	3.24985i	−1.76914	+	0.474039i	−0.988536	−	0.150987i	$-0.951755\pi$
$47$	−12.1286	+	3.24985i	−1.76914	+	0.474039i	−0.780604	+	0.625026i	$0.785088\pi$
$48$	−1.80159	−	1.04015i	−0.260038	−	0.150133i
$49$	6.53173	−	2.51724i	0.933104	−	0.359606i
$50$	−2.53947	−	0.680450i	−0.359136	−	0.0962301i
$51$	−0.0398944	−	0.0230331i	−0.00558634	−	0.00322527i
$52$	−5.88726	−	1.09594i	−0.816416	−	0.151979i
$53$	4.89224	+	8.47362i	0.672001	+	1.16394i	0.977336	+	0.211695i	$0.0678985\pi$
$53$	4.89224	+	8.47362i	0.672001	+	1.16394i	−0.305334	+	0.952245i	$0.598768\pi$
$54$	0.411775	−	0.411775i	0.0560354	−	0.0560354i
$55$	−0.536646	+	0.309833i	−0.0723613	+	0.0417778i
$56$	−3.19167	+	4.65051i	−0.426505	+	0.621451i
$57$	−0.617410	−	0.617410i	−0.0817780	−	0.0817780i
$58$	1.23061	−	4.59270i	0.161587	−	0.603051i
$59$	6.25586	+	6.25586i	0.814444	+	0.814444i	0.985297	−	0.170853i	$-0.0546522\pi$
$59$	6.25586	+	6.25586i	0.814444	+	0.814444i	−0.170853	+	0.985297i	$0.554652\pi$
$60$	−1.11765	−	0.299472i	−0.144287	−	0.0386617i
$61$	0.877507	−	0.506629i	0.112353	−	0.0648672i	−0.442770	−	0.896635i	$-0.646004\pi$
$61$	0.877507	−	0.506629i	0.112353	−	0.0648672i	0.555124	+	0.831768i	$0.312671\pi$
$62$	−1.17573	−	2.03643i	−0.149318	−	0.258627i
$63$	1.71961	+	2.01071i	0.216651	+	0.253325i
$64$			0.972206i			0.121526i
$65$	−2.50426	+	0.195103i	−0.310615	+	0.0241996i
$66$	−0.448581	+	0.258989i	−0.0552165	+	0.0318793i
$67$	2.42048	−	0.648566i	0.295709	−	0.0792350i	−0.107915	−	0.994160i	$-0.534417\pi$
$67$	2.42048	−	0.648566i	0.295709	−	0.0792350i	0.403623	+	0.914925i	$0.367751\pi$
$68$			0.0765105i			0.00927826i
$69$	1.59558	−	2.76363i	0.192085	−	0.332701i
$70$	−0.357623	+	1.01203i	−0.0427442	+	0.120961i
$71$	−0.798336	+	0.213913i	−0.0947450	+	0.0253869i	−0.305880	−	0.952070i	$-0.598951\pi$
$71$	−0.798336	+	0.213913i	−0.0947450	+	0.0253869i	0.211135	+	0.977457i	$0.432284\pi$
$72$	−2.05923	−	0.551768i	−0.242682	−	0.0650265i
$73$	−4.09226	+	15.2725i	−0.478963	+	1.78751i	0.126867	+	0.991920i	$0.459508\pi$
$73$	−4.09226	+	15.2725i	−0.478963	+	1.78751i	−0.605830	+	0.795594i	$0.707159\pi$
$74$	4.10048			0.476672
$75$	4.51466			0.521308
$76$	−0.375340	+	1.40079i	−0.0430544	+	0.160681i
$77$	−1.01455	−	2.12342i	−0.115618	−	0.241986i
$78$	−2.09330	+	0.163087i	−0.237020	+	0.0184659i
$79$	−4.73655	+	8.20394i	−0.532903	+	0.923016i	0.466358	+	0.884596i	$0.345566\pi$
$79$	−4.73655	+	8.20394i	−0.532903	+	0.923016i	−0.999262	+	0.0384199i	$0.987768\pi$
$80$	0.375097	+	1.39988i	0.0419371	+	0.156511i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	2.58118	+	4.47074i	0.285044	+	0.493711i
$83$	−3.50364	+	3.50364i	−0.384574	+	0.384574i	−0.872747	−	0.488173i	$-0.837664\pi$
$83$	−3.50364	+	3.50364i	−0.384574	+	0.384574i	0.488173	+	0.872747i	$0.337664\pi$
$84$	1.46410	−	4.14321i	0.159746	−	0.452061i
$85$	0.00830614	+	0.0309989i	0.000900927	+	0.00336231i
$86$	−0.224900	−	0.839337i	−0.0242516	−	0.0905081i
$87$			8.16487i			0.875366i
$88$	1.64220	+	0.948127i	0.175060	+	0.101071i
$89$	−3.69759	−	3.69759i	−0.391944	−	0.391944i	0.483436	−	0.875380i	$-0.339389\pi$
$89$	−3.69759	−	3.69759i	−0.391944	−	0.391944i	−0.875380	+	0.483436i	$0.839389\pi$
$90$	−0.405691			−0.0427636
$91$	0.00119323	−	9.53939i	0.000125084	−	1.00000i
$92$	−5.30014			−0.552578
$93$	2.85528	+	2.85528i	0.296079	+	0.296079i
$94$	6.33246	+	3.65605i	0.653143	+	0.377092i
$95$			0.608289i			0.0624092i
$96$	1.41708	+	5.28861i	0.144630	+	0.539767i
$97$	−0.288642	−	1.07723i	−0.0293071	−	0.109376i	0.949723	−	0.313092i	$-0.101365\pi$
$97$	−0.288642	−	1.07723i	−0.0293071	−	0.109376i	−0.979030	+	0.203716i	$0.934698\pi$
$98$	−3.72614	−	1.65306i	−0.376396	−	0.166985i
$99$	0.628957	−	0.628957i	0.0632126	−	0.0632126i
$100$	−3.74917	−	6.49375i	−0.374917	−	0.649375i
$101$	7.30376	−	12.6505i	0.726752	−	1.25877i	−0.231497	−	0.972836i	$-0.574362\pi$
$101$	7.30376	−	12.6505i	0.726752	−	1.25877i	0.958249	−	0.285935i	$-0.0923042\pi$
$102$	0.00694308	+	0.0259119i	0.000687468	+	0.00256566i
$103$	−6.34652	+	10.9925i	−0.625342	+	1.08312i	0.363133	+	0.931737i	$0.381707\pi$
$103$	−6.34652	+	10.9925i	−0.625342	+	1.08312i	−0.988475	+	0.151386i	$0.951626\pi$
$104$	4.34872	+	6.33812i	0.426427	+	0.621504i
$105$	0.143397	−	1.83760i	0.0139941	−	0.179332i
$106$	1.47472	−	5.50372i	0.143237	−	0.534569i
$107$	11.7922			1.14000			0.569999	−	0.821645i	$-0.306944\pi$
$107$	11.7922			1.14000			0.569999	+	0.821645i	$0.306944\pi$
$108$	1.66088			0.159819
$109$	0.888593	−	3.31627i	0.0851118	−	0.317641i	−0.910224	−	0.414117i	$-0.864090\pi$
$109$	0.888593	−	3.31627i	0.0851118	−	0.317641i	0.995335	+	0.0964758i	$0.0307570\pi$
$110$	0.348558	+	0.0933959i	0.0332337	+	0.00890495i
$111$	−6.80150	+	1.82246i	−0.645569	+	0.172980i
$112$	−5.41113	+	1.00661i	−0.511304	+	0.0951152i
$113$	7.53468	−	13.0504i	0.708803	−	1.22768i	−0.256498	−	0.966545i	$-0.582569\pi$
$113$	7.53468	−	13.0504i	0.708803	−	1.22768i	0.965301	−	0.261138i	$-0.0840978\pi$
$114$			0.508468i			0.0476224i
$115$	−2.14740	+	0.575395i	−0.200246	+	0.0536559i
$116$	11.7441	−	6.78045i	1.09041	−	0.629549i
$117$	3.39969	−	1.20088i	0.314301	−	0.111021i
$118$		−	5.15201i		−	0.474281i
$119$	−0.119824	+	0.0222902i	−0.0109842	+	0.00204334i
$120$	0.742594	+	1.28621i	0.0677893	+	0.117414i
$121$	8.84110	−	5.10441i	0.803737	−	0.464038i
$122$	−0.569952	−	0.152718i	−0.0516010	−	0.0138265i
$123$	−6.26844	−	6.26844i	−0.565206	−	0.565206i
$124$	1.73580	−	6.47810i	0.155879	−	0.581750i
$125$	−4.68705	−	4.68705i	−0.419223	−	0.419223i
$126$	0.119865	−	1.53605i	0.0106784	−	0.136842i
$127$	−6.17582	+	3.56561i	−0.548016	+	0.316397i	−0.748321	−	0.663337i	$-0.769140\pi$
$127$	−6.17582	+	3.56561i	−0.548016	+	0.316397i	0.200306	+	0.979733i	$0.435806\pi$
$128$	8.14339	−	8.14339i	0.719781	−	0.719781i
$129$	0.746085	+	1.29226i	0.0656891	+	0.113777i
$130$	1.11153	+	0.950851i	0.0974874	+	0.0833951i
$131$	−11.8790	−	6.85837i	−1.03788	−	0.599219i	−0.118646	−	0.992937i	$-0.537855\pi$
$131$	−11.8790	−	6.85837i	−1.03788	−	0.599219i	−0.919231	+	0.393718i	$0.871189\pi$
$132$	−1.42698	−	0.382359i	−0.124203	−	0.0332801i
$133$	−2.30314	−	0.179724i	−0.199707	−	0.0155841i
$134$	−1.26376	−	0.729630i	−0.109172	−	0.0630304i
$135$	0.672922	−	0.180309i	0.0579159	−	0.0155185i
$136$	0.0694428	−	0.0694428i	0.00595467	−	0.00595467i
$137$	8.25603	−	8.25603i	0.705361	−	0.705361i	−0.260195	−	0.965556i	$-0.583787\pi$
$137$	8.25603	−	8.25603i	0.705361	−	0.705361i	0.965556	+	0.260195i	$0.0837870\pi$
$138$	−1.79501	+	0.480971i	−0.152801	+	0.0409430i
$139$	−0.834941	−	0.482054i	−0.0708188	−	0.0408873i	0.464172	−	0.885745i	$-0.346352\pi$
$139$	−0.834941	−	0.482054i	−0.0708188	−	0.0408873i	−0.534991	+	0.844858i	$0.679685\pi$
$140$	−2.76223	+	1.31977i	−0.233451	+	0.111541i
$141$	−12.1286	−	3.24985i	−1.02141	−	0.273687i
$142$	0.416818	+	0.240650i	0.0349786	+	0.0201949i
$143$	−3.19738	+	0.249103i	−0.267378	+	0.0208311i
$144$	−1.04015	−	1.80159i	−0.0866792	−	0.150133i
$145$	4.02213	−	4.02213i	0.334019	−	0.334019i
$146$	7.97393	−	4.60375i	0.659927	−	0.381009i
$147$	6.91526	+	1.08587i	0.570361	+	0.0895612i
$148$	8.26961	+	8.26961i	0.679757	+	0.679757i
$149$	0.600793	−	2.24219i	0.0492189	−	0.183687i	−0.936940	−	0.349490i	$-0.886355\pi$
$149$	0.600793	−	2.24219i	0.0492189	−	0.183687i	0.986159	+	0.165803i	$0.0530215\pi$
$150$	−1.85902	−	1.85902i	−0.151789	−	0.151789i
$151$	−13.1629	−	3.52700i	−1.07118	−	0.287023i	−0.320205	−	0.947348i	$-0.603752\pi$
$151$	−13.1629	−	3.52700i	−1.07118	−	0.287023i	−0.750980	+	0.660325i	$0.770418\pi$
$152$	1.61206	−	0.930720i	0.130755	−	0.0754914i
$153$	−0.0230331	−	0.0398944i	−0.00186211	−	0.00322527i
$154$	−0.456605	+	1.29214i	−0.0367943	+	0.104123i
$155$		−	2.81310i		−	0.225954i
$156$	−4.55055	−	3.89274i	−0.364336	−	0.311669i
$157$	3.81144	−	2.20054i	0.304186	−	0.175622i	−0.340136	−	0.940376i	$-0.610473\pi$
$157$	3.81144	−	2.20054i	0.304186	−	0.175622i	0.644322	+	0.764754i	$0.277140\pi$
$158$	5.32857	−	1.42778i	0.423918	−	0.113588i
$159$			9.78449i			0.775960i
$160$	1.90717	−	3.30331i	0.150775	−	0.261150i
$161$	−1.54412	−	8.30061i	−0.121694	−	0.654180i
$162$	0.562494	−	0.150720i	0.0441937	−	0.0118417i
$163$	−0.294730	−	0.0789727i	−0.0230850	−	0.00618562i	0.247258	−	0.968950i	$-0.420470\pi$
$163$	−0.294730	−	0.0789727i	−0.0230850	−	0.00618562i	−0.270343	+	0.962764i	$0.587137\pi$
$164$	−3.81074	+	14.2219i	−0.297569	+	1.11054i
$165$	−0.619666			−0.0482409
$166$	2.88542			0.223952
$167$	0.106108	−	0.396000i	0.00821087	−	0.0306434i	−0.961699	−	0.274108i	$-0.911617\pi$
$167$	0.106108	−	0.396000i	0.00821087	−	0.0306434i	0.969910	+	0.243465i	$0.0782840\pi$
$168$	−5.08932	+	2.43163i	−0.392650	+	0.187604i
$169$	−12.1292	−	4.67791i	−0.933014	−	0.359839i
$170$	0.00934431	−	0.0161848i	0.000716676	−	0.00124132i
$171$	−0.225988	−	0.843398i	−0.0172817	−	0.0644963i
$172$	1.23916	−	2.14629i	0.0944851	−	0.163653i
$173$	−1.03796	−	1.79781i	−0.0789149	−	0.136685i	0.823867	−	0.566783i	$-0.191812\pi$
$173$	−1.03796	−	1.79781i	−0.0789149	−	0.136685i	−0.902782	+	0.430098i	$0.858479\pi$
$174$	3.36209	−	3.36209i	0.254879	−	0.254879i
$175$	9.07766	−	7.76347i	0.686207	−	0.586863i
$176$	0.478915	+	1.78734i	0.0360996	+	0.134725i
$177$	2.28980	+	8.54567i	0.172112	+	0.642332i
$178$			3.04514i			0.228243i
$179$	11.6148	+	6.70581i	0.868131	+	0.501216i	0.866727	−	0.498783i	$-0.166220\pi$
$179$	11.6148	+	6.70581i	0.868131	+	0.501216i	0.00140439	+	0.999999i	$0.499553\pi$
$180$	−0.818174	−	0.818174i	−0.0609831	−	0.0609831i
$181$	−2.32661			−0.172935			−0.0864677	−	0.996255i	$-0.527558\pi$
$181$	−2.32661			−0.172935			−0.0864677	+	0.996255i	$0.527558\pi$
$182$	−3.92857	+	3.92759i	−0.291205	+	0.291132i
$183$	1.01326			0.0749022
$184$	4.81054	+	4.81054i	0.354638	+	0.354638i
$185$	4.24827	+	2.45274i	0.312339	+	0.180329i
$186$		−	2.35147i		−	0.172418i
$187$	0.0106051	+	0.0395787i	0.000775520	+	0.00289428i
$188$	5.39762	+	20.1442i	0.393662	+	1.46917i
$189$	0.483875	+	2.60113i	0.0351967	+	0.189204i
$190$	0.250478	−	0.250478i	0.0181716	−	0.0181716i
$191$	−11.4976	−	19.9143i	−0.831934	−	1.44095i	−0.896503	−	0.443038i	$-0.853901\pi$
$191$	−11.4976	−	19.9143i	−0.831934	−	1.44095i	0.0645691	−	0.997913i	$-0.479433\pi$
$192$	−0.486103	+	0.841955i	−0.0350815	+	0.0607629i
$193$	1.74638	+	6.51759i	0.125707	+	0.469146i	0.999864	−	0.0164980i	$-0.00525171\pi$
$193$	1.74638	+	6.51759i	0.125707	+	0.469146i	−0.874157	+	0.485644i	$0.838585\pi$
$194$	−0.324719	+	0.562430i	−0.0233135	+	0.0403801i
$195$	−2.26630	−	1.08316i	−0.162293	−	0.0775670i
$196$	−4.18084	−	10.8484i	−0.298632	−	0.774889i
$197$	3.30495	−	12.3342i	0.235468	−	0.878778i	−0.742470	−	0.669880i	$-0.766346\pi$
$197$	3.30495	−	12.3342i	0.235468	−	0.878778i	0.977937	−	0.208898i	$-0.0669876\pi$
$198$	−0.517977			−0.0368110
$199$	0.830455			0.0588694			0.0294347	−	0.999567i	$-0.490629\pi$
$199$	0.830455			0.0588694			0.0294347	+	0.999567i	$0.490629\pi$
$200$	−2.49105	+	9.29672i	−0.176144	+	0.657377i
$201$	2.42048	+	0.648566i	0.170728	+	0.0457463i
$202$	−8.21665	+	2.20165i	−0.578122	+	0.154907i
$203$	14.0404	+	16.4172i	0.985444	+	1.15226i
$204$	−0.0382552	+	0.0662600i	−0.00267840	+	0.00463913i
$205$			6.17583i			0.431339i
$206$	7.13977	−	1.91310i	0.497451	−	0.133292i
$207$	2.76363	−	1.59558i	0.192085	−	0.110900i
$208$	−1.37269	+	7.37395i	−0.0951792	+	0.511292i
$209$			0.776649i			0.0537220i
$210$	−0.815726	+	0.697631i	−0.0562904	+	0.0481411i
$211$	11.5683	+	20.0368i	0.796392	+	1.37939i	0.921952	+	0.387305i	$0.126594\pi$
$211$	11.5683	+	20.0368i	0.796392	+	1.37939i	−0.125560	+	0.992086i	$0.540073\pi$
$212$	14.0737	−	8.12545i	0.966585	−	0.558058i
$213$	−0.798336	−	0.213913i	−0.0547011	−	0.0146571i
$214$	−4.85574	−	4.85574i	−0.331931	−	0.331931i
$215$	0.269052	−	1.00411i	0.0183492	−	0.0684801i
$216$	−1.50746	−	1.50746i	−0.102570	−	0.102570i
$217$	10.6511	+	0.831155i	0.723045	+	0.0564225i
$218$	−1.73146	+	0.999657i	−0.117269	+	0.0677053i
$219$	−11.1803	+	11.1803i	−0.755492	+	0.755492i
$220$	0.514596	+	0.891307i	0.0346941	+	0.0600919i
$221$	−0.0303969	+	0.163289i	−0.00204472	+	0.0109840i
$222$	3.55112	+	2.05024i	0.238336	+	0.137603i
$223$	−13.8755	−	3.71792i	−0.929171	−	0.248971i	−0.237670	−	0.971346i	$-0.576384\pi$
$223$	−13.8755	−	3.71792i	−0.929171	−	0.248971i	−0.691501	+	0.722375i	$0.743050\pi$
$224$	11.9437	+	8.19701i	0.798021	+	0.547686i
$225$	3.90981	+	2.25733i	0.260654	+	0.150489i
$226$	−8.47643	+	2.27125i	−0.563844	+	0.151081i
$227$	−14.5357	+	14.5357i	−0.964765	+	0.964765i	−0.999400	−	0.0346350i	$-0.988973\pi$
$227$	−14.5357	+	14.5357i	−0.964765	+	0.964765i	0.0346350	+	0.999400i	$0.488973\pi$
$228$	−1.02545	+	1.02545i	−0.0679119	+	0.0679119i
$229$	3.99397	−	1.07018i	0.263929	−	0.0707196i	−0.124428	−	0.992229i	$-0.539709\pi$
$229$	3.99397	−	1.07018i	0.263929	−	0.0707196i	0.388357	+	0.921509i	$0.373043\pi$
$230$	1.12118	+	0.647313i	0.0739283	+	0.0426826i
$231$	0.183085	−	2.34621i	0.0120461	−	0.154369i
$232$	−16.8133	−	4.50512i	−1.10385	−	0.295775i
$233$	−1.72269	−	0.994594i	−0.112857	−	0.0651580i	0.442509	−	0.896764i	$-0.354088\pi$
$233$	−1.72269	−	0.994594i	−0.112857	−	0.0651580i	−0.555366	+	0.831606i	$0.687422\pi$
$234$	−1.89440	−	0.905414i	−0.123841	−	0.0591888i
$235$	4.37380	+	7.57564i	0.285315	+	0.494180i
$236$	10.3903	−	10.3903i	0.676348	−	0.676348i
$237$	−8.20394	+	4.73655i	−0.532903	+	0.307672i
$238$	0.0585190	+	0.0401619i	0.00379322	+	0.00260331i
$239$	10.1339	+	10.1339i	0.655510	+	0.655510i	0.954314	−	0.298805i	$-0.0965879\pi$
$239$	10.1339	+	10.1339i	0.655510	+	0.655510i	−0.298805	+	0.954314i	$0.596588\pi$
$240$	−0.375097	+	1.39988i	−0.0242124	+	0.0903620i
$241$	−19.5579	−	19.5579i	−1.25984	−	1.25984i	−0.951171	−	0.308664i	$-0.900118\pi$
$241$	−19.5579	−	19.5579i	−1.25984	−	1.25984i	−0.308664	−	0.951171i	$-0.599882\pi$
$242$	−5.74241	−	1.53867i	−0.369136	−	0.0989097i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	−0.841452	−	1.45744i	−0.0538684	−	0.0933029i
$245$	−2.87164	−	3.94147i	−0.183462	−	0.251811i
$246$			5.16236i			0.329140i
$247$	−1.35757	+	2.84044i	−0.0863800	+	0.180733i
$248$	−7.45513	+	4.30422i	−0.473401	+	0.273318i
$249$	−4.78606	+	1.28242i	−0.303304	+	0.0812701i
$250$			3.86002i			0.244129i
$251$	−3.92297	+	6.79478i	−0.247616	+	0.428883i	−0.962864	−	0.269988i	$-0.912980\pi$
$251$	−3.92297	+	6.79478i	−0.247616	+	0.428883i	0.715248	+	0.698871i	$0.246314\pi$
$252$	3.33955	−	2.85607i	0.210372	−	0.179916i
$253$	−2.74175	+	0.734651i	−0.172373	+	0.0461871i
$254$	4.01127	+	1.07482i	0.251690	+	0.0674401i
$255$	−0.00830614	+	0.0309989i	−0.000520151	+	0.00194123i
$256$	−4.76207			−0.297629
$257$	−0.363807			−0.0226936			−0.0113468	−	0.999936i	$-0.503612\pi$
$257$	−0.363807			−0.0226936			−0.0113468	+	0.999936i	$0.503612\pi$
$258$	0.224900	−	0.839337i	0.0140017	−	0.0522549i
$259$	−10.5419	+	15.3604i	−0.655041	+	0.954446i
$260$	0.324044	+	4.15928i	0.0200964	+	0.257948i
$261$	−4.08244	+	7.07099i	−0.252697	+	0.437683i
$262$	2.06739	+	7.71559i	0.127724	+	0.476671i
$263$	−11.1731	+	19.3524i	−0.688963	+	1.19332i	0.283211	+	0.959058i	$0.408600\pi$
$263$	−11.1731	+	19.3524i	−0.688963	+	1.19332i	−0.972174	+	0.234261i	$0.924733\pi$
$264$	0.948127	+	1.64220i	0.0583532	+	0.101071i
$265$	4.81997	−	4.81997i	0.296088	−	0.296088i
$266$	0.874367	+	1.02238i	0.0536109	+	0.0626861i
$267$	−1.35341	−	5.05100i	−0.0828274	−	0.309116i
$268$	−1.07719	−	4.02014i	−0.0658000	−	0.245569i
$269$		−	26.2941i		−	1.60318i	−0.597874	−	0.801590i	$-0.703988\pi$
$269$		−	26.2941i		−	1.60318i	0.597874	−	0.801590i	$-0.296012\pi$
$270$	−0.351339	−	0.202846i	−0.0213818	−	0.0123448i
$271$	0.167050	+	0.167050i	0.0101476	+	0.0101476i	0.712162	−	0.702015i	$-0.247716\pi$
$271$	0.167050	+	0.167050i	0.0101476	+	0.0101476i	−0.702015	+	0.712162i	$0.747716\pi$
$272$	0.0958314			0.00581063
$273$	4.77073	−	8.26076i	0.288738	−	0.499964i
$274$	−6.79925			−0.410758
$275$	−2.83953	−	2.83953i	−0.171230	−	0.171230i
$276$	−4.59006	−	2.65007i	−0.276289	−	0.159516i
$277$		−	1.88689i		−	0.113372i	−0.998392	−	0.0566860i	$-0.981947\pi$
$277$		−	1.88689i		−	0.113372i	0.998392	−	0.0566860i	$-0.0180534\pi$
$278$	0.145310	+	0.542305i	0.00871513	+	0.0325253i
$279$	1.04511	+	3.90039i	0.0625689	+	0.233510i
$280$	3.70492	+	1.30922i	0.221411	+	0.0782407i
$281$	14.2823	−	14.2823i	0.852011	−	0.852011i	−0.138370	−	0.990381i	$-0.544186\pi$
$281$	14.2823	−	14.2823i	0.852011	−	0.852011i	0.990381	+	0.138370i	$0.0441863\pi$
$282$	3.65605	+	6.33246i	0.217714	+	0.377092i
$283$	8.56272	−	14.8311i	0.509001	−	0.881615i	−0.490945	−	0.871191i	$-0.663348\pi$
$283$	8.56272	−	14.8311i	0.509001	−	0.881615i	0.999946	−	0.0104246i	$-0.00331831\pi$
$284$	0.355285	+	1.32594i	0.0210823	+	0.0786802i
$285$	−0.304145	+	0.526794i	−0.0180160	+	0.0312046i
$286$	1.41917	+	1.21402i	0.0839174	+	0.0717867i
$287$	−23.3833	−	1.82470i	−1.38027	−	0.107709i
$288$	−1.41708	+	5.28861i	−0.0835022	+	0.311634i
$289$	−16.9979			−0.999875
$290$	−3.31242			−0.194512
$291$	0.288642	−	1.07723i	0.0169205	−	0.0631481i
$292$	25.3659	+	6.79677i	1.48443	+	0.397751i
$293$	−0.0551536	+	0.0147783i	−0.00322210	+	0.000863360i	−0.260430	−	0.965493i	$-0.583864\pi$
$293$	−0.0551536	+	0.0147783i	−0.00322210	+	0.000863360i	0.257208	+	0.966356i	$0.417198\pi$
$294$	−2.40040	−	3.29466i	−0.139994	−	0.192149i
$295$	3.08172	−	5.33770i	0.179425	−	0.310773i
$296$		−	15.0114i		−	0.872519i
$297$	0.859171	−	0.230214i	0.0498542	−	0.0133584i
$298$	−1.17067	+	0.675886i	−0.0678150	+	0.0391530i
$299$	−11.3116	−	2.10570i	−0.654165	−	0.121776i
$300$		−	7.49833i		−	0.432916i
$301$	3.72234	+	1.31537i	0.214552	+	0.0758168i
$302$	3.96783	+	6.87249i	0.228323	+	0.395467i
$303$	12.6505	−	7.30376i	0.726752	−	0.419590i
$304$	1.75452	+	0.470123i	0.100629	+	0.0269634i
$305$	−0.499145	−	0.499145i	−0.0285809	−	0.0285809i
$306$	−0.00694308	+	0.0259119i	−0.000396910	+	0.00148129i
$307$	17.7169	+	17.7169i	1.01116	+	1.01116i	0.999937	+	0.0112203i	$0.00357162\pi$
$307$	17.7169	+	17.7169i	1.01116	+	1.01116i	0.0112203	+	0.999937i	$0.496428\pi$
$308$	−3.52675	+	1.68505i	−0.200955	+	0.0960144i
$309$	−10.9925	+	6.34652i	−0.625342	+	0.361041i
$310$	−1.15836	+	1.15836i	−0.0657907	+	0.0657907i
$311$	−9.52232	−	16.4931i	−0.539961	−	0.935240i	−0.998905	−	0.0467749i	$-0.985106\pi$
$311$	−9.52232	−	16.4931i	−0.539961	−	0.935240i	0.458944	−	0.888465i	$-0.348228\pi$
$312$	0.597041	+	7.66334i	0.0338008	+	0.433851i
$313$	−2.59097	−	1.49590i	−0.146450	−	0.0845530i	0.424984	−	0.905201i	$-0.360280\pi$
$313$	−2.59097	−	1.49590i	−0.146450	−	0.0845530i	−0.571435	+	0.820648i	$0.693613\pi$
$314$	−2.47558	−	0.663329i	−0.139705	−	0.0374338i
$315$	1.04299	−	1.51971i	0.0587657	−	0.0856262i
$316$	13.6258	+	7.86686i	0.766511	+	0.442545i
$317$	0.683930	−	0.183258i	0.0384133	−	0.0102928i	−0.239561	−	0.970881i	$-0.577004\pi$
$317$	0.683930	−	0.183258i	0.0384133	−	0.0102928i	0.277975	+	0.960588i	$0.410337\pi$
$318$	4.02900	−	4.02900i	0.225935	−	0.225935i
$319$	5.13536	−	5.13536i	0.287525	−	0.287525i
$320$	0.654219	−	0.175298i	0.0365720	−	0.00979943i
$321$	10.2124	+	5.89611i	0.569999	+	0.329089i
$322$	−2.78215	+	4.05381i	−0.155043	+	0.225910i
$323$	0.0388521	+	0.0104104i	0.00216179	+	0.000579249i
$324$	1.43837	+	0.830442i	0.0799093	+	0.0461357i
$325$	−5.42156	−	15.3485i	−0.300734	−	0.851379i
$326$	0.0888434	+	0.153881i	0.00492058	+	0.00852269i
$327$	2.42768	−	2.42768i	0.134251	−	0.134251i
$328$	16.3669	−	9.44941i	0.903708	−	0.521756i
$329$	−29.9755	+	14.3220i	−1.65261	+	0.789598i
$330$	0.255162	+	0.255162i	0.0140462	+	0.0140462i
$331$	−2.45661	+	9.16821i	−0.135028	+	0.503930i	0.864970	+	0.501823i	$0.167337\pi$
$331$	−2.45661	+	9.16821i	−0.135028	+	0.503930i	−0.999998	+	0.00210683i	$0.999329\pi$
$332$	5.81913	+	5.81913i	0.319366	+	0.319366i
$333$	−6.80150	−	1.82246i	−0.372720	−	0.0998699i
$334$	−0.206755	+	0.119370i	−0.0113131	+	0.00653164i
$335$	−0.872869	−	1.51185i	−0.0476899	−	0.0826014i
$336$	−5.18948	−	1.83382i	−0.283109	−	0.100043i
$337$			28.3561i			1.54465i	0.635226	+	0.772327i	$0.280907\pi$
$337$			28.3561i			1.54465i	−0.635226	+	0.772327i	$0.719093\pi$
$338$	3.06825	+	6.92073i	0.166891	+	0.376438i
$339$	13.0504	−	7.53468i	0.708803	−	0.409228i
$340$	0.0514856	−	0.0137955i	0.00279220	−	0.000748167i
$341$		−	3.59170i		−	0.194502i
$342$	−0.254234	+	0.440346i	−0.0137474	+	0.0238112i
$343$	15.7718	−	9.70820i	0.851599	−	0.524194i
$344$	−3.07272	+	0.823332i	−0.165670	+	0.0443911i
$345$	−2.14740	−	0.575395i	−0.115612	−	0.0309782i
$346$	−0.312884	+	1.16770i	−0.0168207	+	0.0627758i
$347$	−22.3797			−1.20140			−0.600702	−	0.799473i	$-0.705112\pi$
$347$	−22.3797			−1.20140			−0.600702	+	0.799473i	$0.705112\pi$
$348$	13.5609			0.726941
$349$	−2.36174	+	8.81412i	−0.126421	+	0.471809i	−0.999886	−	0.0150770i	$-0.995201\pi$
$349$	−2.36174	+	8.81412i	−0.126421	+	0.471809i	0.873465	+	0.486886i	$0.161867\pi$
$350$	−6.93475	−	0.541150i	−0.370678	−	0.0289257i
$351$	3.54466	+	0.659853i	0.189200	+	0.0352204i
$352$	2.43503	−	4.21759i	0.129787	−	0.224798i
$353$	0.743912	+	2.77632i	0.0395945	+	0.147769i	0.982893	−	0.184177i	$-0.0589618\pi$
$353$	0.743912	+	2.77632i	0.0395945	+	0.147769i	−0.943299	+	0.331945i	$0.892295\pi$
$354$	2.57600	−	4.46177i	0.136913	−	0.237140i
$355$	0.287894	+	0.498648i	0.0152798	+	0.0264655i
$356$	−6.14126	+	6.14126i	−0.325486	+	0.325486i
$357$	−0.114916	−	0.0406080i	−0.00608198	−	0.00214920i
$358$	−2.02140	−	7.54396i	−0.106834	−	0.398711i
$359$	2.08854	+	7.79454i	0.110229	+	0.411380i	0.998886	−	0.0471928i	$-0.0150275\pi$
$359$	2.08854	+	7.79454i	0.110229	+	0.411380i	−0.888657	+	0.458573i	$0.848361\pi$
$360$			1.48519i			0.0782763i
$361$	−15.7942	−	9.11880i	−0.831275	−	0.479937i
$362$	0.958038	+	0.958038i	0.0503534	+	0.0503534i
$363$	10.2088			0.535824
$364$	−15.8438	−	0.00198181i	−0.830442	−	0.000103875i
$365$	11.0151			0.576557
$366$	−0.417234	−	0.417234i	−0.0218092	−	0.0218092i
$367$	−1.45417	−	0.839564i	−0.0759069	−	0.0438249i	0.461566	−	0.887106i	$-0.347288\pi$
$367$	−1.45417	−	0.839564i	−0.0759069	−	0.0438249i	−0.537473	+	0.843281i	$0.680621\pi$
$368$			6.63857i			0.346060i
$369$	−2.29441	−	8.56284i	−0.119442	−	0.445764i
$370$	−0.739354	−	2.75931i	−0.0384372	−	0.143450i
$371$	16.8255	+	19.6737i	0.873537	+	1.02141i
$372$	4.74230	−	4.74230i	0.245877	−	0.245877i
$373$	16.1379	+	27.9516i	0.835587	+	1.44728i	0.893552	+	0.448960i	$0.148206\pi$
$373$	16.1379	+	27.9516i	0.835587	+	1.44728i	−0.0579649	+	0.998319i	$0.518461\pi$
$374$	0.0119306	−	0.0206644i	0.000616916	−	0.00106853i
$375$	−1.71558	−	6.40263i	−0.0885922	−	0.330630i
$376$	13.3844	−	23.1824i	0.690246	−	1.19554i
$377$	27.7580	−	9.80502i	1.42961	−	0.504984i
$378$	0.871831	−	1.27033i	0.0448421	−	0.0653385i
$379$	5.38351	−	20.0915i	0.276532	−	1.03203i	−0.678276	−	0.734808i	$-0.737272\pi$
$379$	5.38351	−	20.0915i	0.276532	−	1.03203i	0.954808	−	0.297224i	$-0.0960609\pi$
$380$	1.01030			0.0518272
$381$	−7.13122			−0.365344
$382$	−3.46582	+	12.9346i	−0.177327	+	0.661793i
$383$	−27.1672	−	7.27943i	−1.38818	−	0.371962i	−0.514094	−	0.857734i	$-0.671872\pi$
$383$	−27.1672	−	7.27943i	−1.38818	−	0.371962i	−0.874086	+	0.485772i	$0.838539\pi$
$384$	11.1241	−	2.98069i	0.567673	−	0.152108i
$385$	−1.24596	+	1.06558i	−0.0635002	+	0.0543072i
$386$	1.96466	−	3.40289i	0.0999986	−	0.173203i
$387$			1.49217i			0.0758513i
$388$	−1.78915	+	0.479401i	−0.0908302	+	0.0243379i
$389$	−9.23904	+	5.33416i	−0.468438	+	0.270453i	−0.715586	−	0.698525i	$-0.753840\pi$
$389$	−9.23904	+	5.33416i	−0.468438	+	0.270453i	0.247148	+	0.968978i	$0.420507\pi$
$390$	0.487186	+	1.37922i	0.0246696	+	0.0698398i
$391$			0.147004i			0.00743433i
$392$	−6.05168	+	13.6409i	−0.305656	+	0.688972i
$393$	−6.85837	−	11.8790i	−0.345959	−	0.599219i
$394$	−6.43981	+	3.71803i	−0.324433	+	0.187312i
$395$	6.37466	+	1.70809i	0.320744	+	0.0859431i
$396$	−1.04462	−	1.04462i	−0.0524944	−	0.0524944i
$397$	−0.614054	+	2.29168i	−0.0308185	+	0.115016i	−0.979622	−	0.200852i	$-0.935629\pi$
$397$	−0.614054	+	2.29168i	−0.0308185	+	0.115016i	0.948803	+	0.315868i	$0.102296\pi$
$398$	−0.341960	−	0.341960i	−0.0171409	−	0.0171409i
$399$	−1.90471	−	1.30721i	−0.0953549	−	0.0654426i
$400$	−8.13359	+	4.69593i	−0.406679	+	0.234797i
$401$	22.0398	−	22.0398i	1.10061	−	1.10061i	0.106278	−	0.994336i	$-0.466107\pi$
$401$	22.0398	−	22.0398i	1.10061	−	1.10061i	0.994336	−	0.106278i	$-0.0338933\pi$
$402$	−0.729630	−	1.26376i	−0.0363906	−	0.0630304i
$403$	6.27823	−	13.1359i	0.312741	−	0.654347i
$404$	−21.0110	−	12.1307i	−1.04534	−	0.603525i
$405$	0.672922	+	0.180309i	0.0334378	+	0.00895963i
$406$	0.978682	−	12.5416i	0.0485712	−	0.622432i
$407$	5.42410	+	3.13160i	0.268862	+	0.155228i
$408$	0.0948606	−	0.0254178i	0.00469630	−	0.00125837i
$409$	16.2736	−	16.2736i	0.804679	−	0.804679i	−0.179144	−	0.983823i	$-0.557333\pi$
$409$	16.2736	−	16.2736i	0.804679	−	0.804679i	0.983823	+	0.179144i	$0.0573328\pi$
$410$	2.54305	−	2.54305i	0.125592	−	0.125592i
$411$	11.2780	−	3.02192i	0.556300	−	0.149060i
$412$	18.2573	+	10.5408i	0.899471	+	0.519310i
$413$	19.2994	+	13.2452i	0.949659	+	0.651756i
$414$	−1.79501	−	0.480971i	−0.0882199	−	0.0236385i
$415$	2.98941	+	1.72594i	0.146745	+	0.0847230i
$416$	16.2779	−	11.1686i	0.798090	−	0.547586i
$417$	−0.482054	−	0.834941i	−0.0236063	−	0.0408873i
$418$	0.319804	−	0.319804i	0.0156421	−	0.0156421i
$419$	15.0030	−	8.66198i	0.732944	−	0.423166i	−0.0865540	−	0.996247i	$-0.527586\pi$
$419$	15.0030	−	8.66198i	0.732944	−	0.423166i	0.819498	+	0.573082i	$0.194252\pi$
$420$	−3.05205	−	0.238165i	−0.148925	−	0.0116213i
$421$	−28.4825	−	28.4825i	−1.38815	−	1.38815i	−0.829203	−	0.558947i	$-0.811206\pi$
$421$	−28.4825	−	28.4825i	−1.38815	−	1.38815i	−0.558947	−	0.829203i	$-0.688794\pi$
$422$	3.48714	−	13.0142i	0.169751	−	0.633520i
$423$	−8.87876	−	8.87876i	−0.431700	−	0.431700i
$424$	−20.1485	−	5.39877i	−0.978497	−	0.262187i
$425$	−0.180110	+	0.103987i	−0.00873662	+	0.00504409i
$426$	0.240650	+	0.416818i	0.0116595	+	0.0201949i
$427$	2.03736	−	1.74241i	0.0985949	−	0.0843211i
$428$		−	19.5855i		−	0.946702i
$429$	−2.89356	−	1.38296i	−0.139702	−	0.0667698i
$430$	−0.524258	+	0.302680i	−0.0252819	+	0.0145965i
$431$	−32.7297	+	8.76990i	−1.57653	+	0.422431i	−0.937851	−	0.347039i	$-0.887187\pi$
$431$	−32.7297	+	8.76990i	−1.57653	+	0.422431i	−0.638683	+	0.769470i	$0.720521\pi$
$432$		−	2.08030i		−	0.100089i
$433$	15.2303	−	26.3796i	0.731921	−	1.26772i	−0.224141	−	0.974557i	$-0.571958\pi$
$433$	15.2303	−	26.3796i	0.731921	−	1.26772i	0.956061	−	0.293167i	$-0.0947091\pi$
$434$	−4.04361	−	4.72811i	−0.194099	−	0.226956i
$435$	5.49433	−	1.47220i	0.263433	−	0.0705866i
$436$	−5.50794	−	1.47585i	−0.263783	−	0.0706804i
$437$	−0.721163	+	2.69142i	−0.0344979	+	0.128748i
$438$	9.20750			0.439951
$439$	−2.72571			−0.130091			−0.0650455	−	0.997882i	$-0.520719\pi$
$439$	−2.72571			−0.130091			−0.0650455	+	0.997882i	$0.520719\pi$
$440$	0.341912	−	1.27603i	0.0163000	−	0.0608324i
$441$	5.44586	+	4.39802i	0.259327	+	0.209430i
$442$	0.0797547	−	0.0547214i	0.00379355	−	0.00260283i
$443$	−17.3901	+	30.1206i	−0.826229	+	1.43107i	0.0747467	+	0.997203i	$0.476185\pi$
$443$	−17.3901	+	30.1206i	−0.826229	+	1.43107i	−0.900976	+	0.433869i	$0.857148\pi$
$444$	3.02689	+	11.2965i	0.143650	+	0.536108i
$445$	−1.82148	+	3.15490i	−0.0863465	+	0.149557i
$446$	4.18262	+	7.24452i	0.198053	+	0.343038i
$447$	1.64140	−	1.64140i	0.0776355	−	0.0776355i
$448$	0.470426	+	2.52883i	0.0222255	+	0.119476i
$449$	9.41298	+	35.1297i	0.444226	+	1.65787i	0.717972	+	0.696072i	$0.245070\pi$
$449$	9.41298	+	35.1297i	0.444226	+	1.65787i	−0.273746	+	0.961802i	$0.588263\pi$
$450$	−0.680450	−	2.53947i	−0.0320767	−	0.119712i
$451$			7.88516i			0.371298i
$452$	−21.6753	−	12.5142i	−1.01952	−	0.588620i
$453$	−9.63593	−	9.63593i	−0.452736	−	0.452736i
$454$	11.9708			0.561818
$455$	−6.41949	+	1.71924i	−0.300950	+	0.0805990i
$456$	1.86144			0.0871700
$457$	22.5125	+	22.5125i	1.05309	+	1.05309i	0.998509	+	0.0545801i	$0.0173820\pi$
$457$	22.5125	+	22.5125i	1.05309	+	1.05309i	0.0545801	+	0.998509i	$0.482618\pi$
$458$	−2.08529	−	1.20394i	−0.0974392	−	0.0562566i
$459$		−	0.0460661i		−	0.00215018i
$460$	0.955664	+	3.56659i	0.0445581	+	0.166293i
$461$	−4.67038	−	17.4301i	−0.217521	−	0.811800i	−0.985264	−	0.171042i	$-0.945287\pi$
$461$	−4.67038	−	17.4301i	−0.217521	−	0.811800i	0.767743	−	0.640758i	$-0.221380\pi$
$462$	−1.04150	+	0.890719i	−0.0484549	+	0.0414400i
$463$	16.2446	−	16.2446i	0.754951	−	0.754951i	−0.220448	−	0.975399i	$-0.570752\pi$
$463$	16.2446	−	16.2446i	0.754951	−	0.754951i	0.975399	+	0.220448i	$0.0707518\pi$
$464$	−8.49270	−	14.7098i	−0.394264	−	0.682885i
$465$	1.40655	−	2.43622i	0.0652273	−	0.112977i
$466$	0.299810	+	1.11891i	0.0138884	+	0.0518323i
$467$	−18.7401	+	32.4588i	−0.867188	+	1.50201i	−0.00232895	+	0.999997i	$0.500741\pi$
$467$	−18.7401	+	32.4588i	−0.867188	+	1.50201i	−0.864859	+	0.502016i	$0.832592\pi$
$468$	−1.99452	−	5.64649i	−0.0921967	−	0.261009i
$469$	5.98216	−	2.85821i	0.276230	−	0.131980i
$470$	1.31844	−	4.92047i	0.0608149	−	0.226964i
$471$	4.40107			0.202791
$472$	−18.8609			−0.868144
$473$	0.343519	−	1.28203i	0.0157950	−	0.0589478i
$474$	5.32857	+	1.42778i	0.244749	+	0.0655803i
$475$	−3.80766	+	1.02026i	−0.174707	+	0.0468127i
$476$	0.0370215	+	0.199013i	0.00169688	+	0.00912177i
$477$	−4.89224	+	8.47362i	−0.224000	+	0.387980i
$478$		−	8.34579i		−	0.381728i
$479$	25.8166	−	6.91755i	1.17959	−	0.316071i	0.384828	−	0.922988i	$-0.374261\pi$
$479$	25.8166	−	6.91755i	1.17959	−	0.316071i	0.794765	+	0.606918i	$0.207594\pi$
$480$	3.30331	−	1.90717i	0.150775	−	0.0870499i
$481$	14.3636	+	20.9344i	0.654922	+	0.954528i
$482$			16.1069i			0.733649i
$483$	2.81306	−	7.96060i	0.127999	−	0.362220i
$484$	−8.47784	−	14.6840i	−0.385356	−	0.667456i
$485$	−0.672845	+	0.388467i	−0.0305523	+	0.0176394i
$486$	0.562494	+	0.150720i	0.0255153	+	0.00683679i
$487$	−17.5241	−	17.5241i	−0.794093	−	0.794093i	0.188064	−	0.982157i	$-0.439779\pi$
$487$	−17.5241	−	17.5241i	−0.794093	−	0.794093i	−0.982157	+	0.188064i	$0.939779\pi$
$488$	−0.559083	+	2.08653i	−0.0253085	+	0.0944527i
$489$	−0.215757	−	0.215757i	−0.00975689	−	0.00975689i
$490$	−0.440529	+	2.80546i	−0.0199011	+	0.126738i
$491$	9.62086	−	5.55460i	0.434183	−	0.250676i	−0.266944	−	0.963712i	$-0.586014\pi$
$491$	9.62086	−	5.55460i	0.434183	−	0.250676i	0.701127	+	0.713036i	$0.252681\pi$
$492$	−10.4111	+	10.4111i	−0.469371	+	0.469371i
$493$	−0.188062	−	0.325733i	−0.00846989	−	0.0146703i
$494$	1.72863	−	0.610608i	0.0777748	−	0.0274726i
$495$	−0.536646	−	0.309833i	−0.0241204	−	0.0139259i
$496$	−8.11399	−	2.17414i	−0.364329	−	0.0976216i
$497$	−1.97307	+	0.942711i	−0.0885041	+	0.0422863i
$498$	2.49884	+	1.44271i	0.111976	+	0.0646493i
$499$	−0.179598	+	0.0481231i	−0.00803990	+	0.00215428i	−0.262837	−	0.964840i	$-0.584658\pi$
$499$	−0.179598	+	0.0481231i	−0.00803990	+	0.00215428i	0.254797	+	0.966995i	$0.417991\pi$
$500$	−7.78465	+	7.78465i	−0.348140	+	0.348140i
$501$	0.289892	−	0.289892i	0.0129514	−	0.0129514i
$502$	4.41330	−	1.18254i	0.196975	−	0.0527793i
$503$	0.488766	+	0.282189i	0.0217930	+	0.0125822i	0.510857	−	0.859666i	$-0.329328\pi$
$503$	0.488766	+	0.282189i	0.0217930	+	0.0125822i	−0.489064	+	0.872248i	$0.662662\pi$
$504$	−5.62330	−	0.438812i	−0.250482	−	0.0195462i
$505$	−9.82973	−	2.63387i	−0.437417	−	0.117206i
$506$	1.43149	+	0.826474i	0.0636377	+	0.0367412i
$507$	−8.16523	−	10.1158i	−0.362631	−	0.449258i
$508$	5.92207	+	10.2573i	0.262749	+	0.455095i
$509$	16.1364	−	16.1364i	0.715235	−	0.715235i	−0.252390	−	0.967625i	$-0.581217\pi$
$509$	16.1364	−	16.1364i	0.715235	−	0.715235i	0.967625	+	0.252390i	$0.0812167\pi$
$510$	0.0161848	−	0.00934431i	0.000716676	−	0.000413773i
$511$	−3.25450	+	41.7059i	−0.143971	+	1.84496i
$512$	−14.3259	−	14.3259i	−0.633121	−	0.633121i
$513$	0.225988	−	0.843398i	0.00997761	−	0.0372369i
$514$	0.149806	+	0.149806i	0.00660767	+	0.00660767i
$515$	8.54144	+	2.28867i	0.376381	+	0.100851i
$516$	2.14629	−	1.23916i	0.0944851	−	0.0545510i
$517$	5.58436	+	9.67239i	0.245600	+	0.425391i
$518$	10.6659	−	1.98412i	0.468632	−	0.0871772i
$519$		−	2.07593i		−	0.0911231i
$520$	3.48095	−	4.06917i	0.152650	−	0.178445i
$521$	20.6918	−	11.9464i	0.906523	−	0.523381i	0.0272119	−	0.999630i	$-0.491337\pi$
$521$	20.6918	−	11.9464i	0.906523	−	0.523381i	0.879311	+	0.476249i	$0.158004\pi$
$522$	4.59270	−	1.23061i	0.201017	−	0.0538623i
$523$		−	32.7387i		−	1.43156i	−0.698324	−	0.715782i	$-0.746071\pi$
$523$		−	32.7387i		−	1.43156i	0.698324	−	0.715782i	$-0.253929\pi$
$524$	−11.3910	+	19.7297i	−0.497616	+	0.861897i
$525$	11.7432	−	2.18453i	0.512516	−	0.0953408i
$526$	12.5696	−	3.36802i	0.548061	−	0.146853i
$527$	−0.179676	−	0.0481440i	−0.00782680	−	0.00209719i
$528$	−0.478915	+	1.78734i	−0.0208421	+	0.0777838i
$529$	12.8165			0.557239
$530$	−3.96948			−0.172423
$531$	−2.28980	+	8.54567i	−0.0993691	+	0.370850i
$532$	−0.298501	+	3.82524i	−0.0129417	+	0.165845i
$533$	−13.7831	+	28.8384i	−0.597013	+	1.24913i
$534$	−1.52257	+	2.63717i	−0.0658881	+	0.114122i
$535$	−2.12625	−	7.93526i	−0.0919256	−	0.343071i
$536$	−2.67109	+	4.62646i	−0.115373	+	0.199833i
$537$	6.70581	+	11.6148i	0.289377	+	0.501216i
$538$	−10.8272	+	10.8272i	−0.466796	+	0.466796i
$539$	−3.66644	−	5.03237i	−0.157925	−	0.216760i
$540$	−0.299472	−	1.11765i	−0.0128872	−	0.0480958i
$541$	−4.57076	−	17.0583i	−0.196512	−	0.733394i	−0.991870	−	0.127254i	$-0.959384\pi$
$541$	−4.57076	−	17.0583i	−0.196512	−	0.733394i	0.795358	−	0.606140i	$-0.207283\pi$
$542$		−	0.137574i		−	0.00590931i
$543$	−2.01490	−	1.16330i	−0.0864677	−	0.0499222i
$544$	−0.178346	−	0.178346i	−0.00764654	−	0.00764654i
$545$	−2.39182			−0.102454
$546$	−5.36603	+	1.43711i	−0.229645	+	0.0615024i
$547$	24.8672			1.06324			0.531621	−	0.846982i	$-0.321583\pi$
$547$	24.8672			1.06324			0.531621	+	0.846982i	$0.321583\pi$
$548$	−13.7123	−	13.7123i	−0.585761	−	0.585761i
$549$	0.877507	+	0.506629i	0.0374511	+	0.0216224i
$550$			2.33849i			0.0997136i
$551$	−1.84516	−	6.88624i	−0.0786066	−	0.293364i
$552$	1.76078	+	6.57132i	0.0749438	+	0.279694i
$553$	−8.35069	+	23.6314i	−0.355107	+	1.00491i
$554$	−0.776972	+	0.776972i	−0.0330104	+	0.0330104i
$555$	2.45274	+	4.24827i	0.104113	+	0.180329i
$556$	−0.800635	+	1.38674i	−0.0339545	+	0.0588109i
$557$	9.42880	+	35.1888i	0.399511	+	1.49100i	0.813959	+	0.580922i	$0.197308\pi$
$557$	9.42880	+	35.1888i	0.399511	+	1.49100i	−0.414448	+	0.910073i	$0.636025\pi$
$558$	1.17573	−	2.03643i	0.0497728	−	0.0862090i
$559$	3.49732	−	4.08830i	0.147921	−	0.172917i
$560$	1.65304	+	3.45977i	0.0698538	+	0.146202i
$561$	−0.0106051	+	0.0395787i	−0.000447747	+	0.00167101i
$562$	−11.7622			−0.496157
$563$	−39.9539			−1.68386			−0.841928	−	0.539590i	$-0.818579\pi$
$563$	−39.9539			−1.68386			−0.841928	+	0.539590i	$0.818579\pi$
$564$	−5.39762	+	20.1442i	−0.227281	+	0.848224i
$565$	−10.1405	−	2.71714i	−0.426614	−	0.114311i
$566$	−9.63296	+	2.58114i	−0.404904	+	0.108494i
$567$	−0.881516	+	2.49458i	−0.0370202	+	0.104763i
$568$	0.880992	−	1.52592i	0.0369656	−	0.0640263i
$569$			26.1438i			1.09600i	0.836477	+	0.548002i	$0.184611\pi$
$569$			26.1438i			1.09600i	−0.836477	+	0.548002i	$0.815389\pi$
$570$	0.342159	−	0.0916813i	0.0143315	−	0.00384011i
$571$	20.3089	−	11.7254i	0.849902	−	0.490691i	−0.0107157	−	0.999943i	$-0.503411\pi$
$571$	20.3089	−	11.7254i	0.849902	−	0.490691i	0.860618	+	0.509251i	$0.170078\pi$
$572$	0.413732	+	5.31047i	0.0172990	+	0.222042i
$573$		−	22.9951i		−	0.960634i
$574$	8.87726	+	10.3800i	0.370530	+	0.433253i
$575$	−7.20351	−	12.4768i	−0.300407	−	0.520320i
$576$	−0.841955	+	0.486103i	−0.0350815	+	0.0202543i
$577$	15.6987	+	4.20645i	0.653544	+	0.175117i	0.570331	−	0.821415i	$-0.306815\pi$
$577$	15.6987	+	4.20645i	0.653544	+	0.175117i	0.0832134	+	0.996532i	$0.473482\pi$
$578$	6.99929	+	6.99929i	0.291132	+	0.291132i
$579$	−1.74638	+	6.51759i	−0.0725772	+	0.270862i
$580$	−6.68028	−	6.68028i	−0.277384	−	0.277384i
$581$	−7.41809	+	10.8087i	−0.307754	+	0.448422i
$582$	−0.562430	+	0.324719i	−0.0233135	+	0.0134600i
$583$	6.15402	−	6.15402i	0.254874	−	0.254874i
$584$	−16.8538	−	29.1916i	−0.697415	−	1.20796i
$585$	−1.42109	−	2.07120i	−0.0587550	−	0.0856335i
$586$	0.0287962	+	0.0166255i	0.00118956	+	0.000686792i
$587$	25.3256	+	6.78596i	1.04530	+	0.280087i	0.740307	−	0.672269i	$-0.234680\pi$
$587$	25.3256	+	6.78596i	1.04530	+	0.280087i	0.304991	+	0.952355i	$0.401347\pi$
$588$	1.80351	−	11.4854i	0.0743754	−	0.473652i
$589$	−3.05340	−	1.76288i	−0.125813	−	0.0726383i
$590$	−3.46690	+	0.928954i	−0.142730	+	0.0382444i
$591$	9.02928	−	9.02928i	0.371415	−	0.371415i
$592$	10.3579	−	10.3579i	0.425707	−	0.425707i
$593$	9.92038	−	2.65816i	0.407381	−	0.109157i	−0.0493084	−	0.998784i	$-0.515702\pi$
$593$	9.92038	−	2.65816i	0.407381	−	0.109157i	0.456690	+	0.889626i	$0.349035\pi$
$594$	−0.448581	−	0.258989i	−0.0184055	−	0.0106264i
$595$	0.0366049	+	0.0766130i	0.00150066	+	0.00314083i
$596$	−3.72402	−	0.997848i	−0.152542	−	0.0408734i
$597$	0.719195	+	0.415227i	0.0294347	+	0.0169941i
$598$	3.79074	+	5.52489i	0.155015	+	0.225929i
$599$	9.56265	+	16.5630i	0.390719	+	0.676746i	0.992545	−	0.121882i	$-0.0388930\pi$
$599$	9.56265	+	16.5630i	0.390719	+	0.676746i	−0.601825	+	0.798628i	$0.705560\pi$
$600$	−6.80567	+	6.80567i	−0.277840	+	0.277840i
$601$	−38.9868	+	22.5091i	−1.59031	+	0.918164i	−0.597052	+	0.802202i	$0.703661\pi$
$601$	−38.9868	+	22.5091i	−1.59031	+	0.918164i	−0.993254	+	0.115961i	$0.963005\pi$
$602$	−0.991127	−	2.07440i	−0.0403953	−	0.0845463i
$603$	1.77192	+	1.77192i	0.0721580	+	0.0721580i
$604$	−5.85793	+	21.8621i	−0.238356	+	0.889556i
$605$	−5.02900	−	5.02900i	−0.204458	−	0.204458i
$606$	−8.21665	−	2.20165i	−0.333779	−	0.0894357i
$607$	−41.0361	+	23.6922i	−1.66561	+	0.961638i	−0.695641	+	0.718389i	$0.744880\pi$
$607$	−41.0361	+	23.6922i	−1.66561	+	0.961638i	−0.969964	+	0.243248i	$0.921787\pi$
$608$	−2.39032	−	4.14016i	−0.0969404	−	0.167906i
$609$	3.95078	+	21.2379i	0.160094	+	0.860602i
$610$			0.411070i			0.0166437i
$611$	3.51650	+	45.1362i	0.142262	+	1.82601i
$612$	−0.0662600	+	0.0382552i	−0.00267840	+	0.00154638i
$613$	−38.9499	+	10.4366i	−1.57317	+	0.421531i	−0.936804	−	0.349854i	$-0.886231\pi$
$613$	−38.9499	+	10.4366i	−1.57317	+	0.421531i	−0.636369	+	0.771385i	$0.719564\pi$
$614$		−	14.5907i		−	0.588834i
$615$	−3.08792	+	5.34843i	−0.124517	+	0.215669i
$616$	4.73036	+	1.67158i	0.190591	+	0.0673498i
$617$	−12.1180	+	3.24702i	−0.487854	+	0.130720i	−0.494357	−	0.869259i	$-0.664596\pi$
$617$	−12.1180	+	3.24702i	−0.487854	+	0.130720i	0.00650361	+	0.999979i	$0.497930\pi$
$618$	7.13977	+	1.91310i	0.287204	+	0.0769560i
$619$	−2.16855	+	8.09314i	−0.0871614	+	0.325291i	−0.995715	−	0.0924781i	$-0.970521\pi$
$619$	−2.16855	+	8.09314i	−0.0871614	+	0.325291i	0.908553	+	0.417769i	$0.137188\pi$
$620$	−4.67224			−0.187642
$621$	3.19116			0.128057
$622$	−2.87041	+	10.7125i	−0.115093	+	0.429532i
$623$	−11.4071	−	7.82873i	−0.457014	−	0.313651i
$624$	−4.87576	+	5.69968i	−0.195187	+	0.228170i
$625$	8.97776	−	15.5499i	0.359110	−	0.621997i
$626$	0.450922	+	1.68287i	0.0180225	+	0.0672608i
$627$	−0.388325	+	0.672598i	−0.0155082	+	0.0268610i
$628$	−3.65484	−	6.33036i	−0.145844	−	0.252609i
$629$	0.229365	−	0.229365i	0.00914538	−	0.00914538i
$630$	−1.05525	+	0.196304i	−0.0420424	+	0.00782093i
$631$	3.60680	+	13.4608i	0.143584	+	0.535864i	0.999814	+	0.0192694i	$0.00613403\pi$
$631$	3.60680	+	13.4608i	0.143584	+	0.535864i	−0.856230	+	0.516595i	$0.827199\pi$
$632$	−5.22695	−	19.5073i	−0.207917	−	0.775957i
$633$			23.1365i			0.919594i
$634$	−0.357086	−	0.206164i	−0.0141817	−	0.00818781i
$635$	3.51294	+	3.51294i	0.139407	+	0.139407i
$636$	16.2509			0.644390
$637$	−4.61277	−	24.8138i	−0.182764	−	0.983157i
$638$	−4.22922			−0.167436
$639$	−0.584422	−	0.584422i	−0.0231194	−	0.0231194i
$640$	−6.94820	−	4.01155i	−0.274652	−	0.158570i
$641$		−	48.2934i		−	1.90747i	−0.300644	−	0.953736i	$-0.597202\pi$
$641$		−	48.2934i		−	1.90747i	0.300644	−	0.953736i	$-0.402798\pi$
$642$	−1.77732	−	6.63306i	−0.0701454	−	0.261786i
$643$	4.25643	+	15.8852i	0.167857	+	0.626451i	0.997658	+	0.0683924i	$0.0217870\pi$
$643$	4.25643	+	15.8852i	0.167857	+	0.626451i	−0.829801	+	0.558059i	$0.811546\pi$
$644$	−13.7864	+	2.56461i	−0.543258	+	0.101060i
$645$	0.735063	−	0.735063i	0.0289431	−	0.0289431i
$646$	−0.0117116	−	0.0202850i	−0.000460785	−	0.000798104i
$647$	−7.10098	+	12.2993i	−0.279168	+	0.483533i	−0.971178	−	0.238354i	$-0.923392\pi$
$647$	−7.10098	+	12.2993i	−0.279168	+	0.483533i	0.692010	+	0.721888i	$0.256725\pi$
$648$	−0.551768	−	2.05923i	−0.0216755	−	0.0808941i
$649$	3.93467	−	6.81505i	0.154449	−	0.267514i
$650$	−4.08764	+	8.55256i	−0.160330	+	0.335459i
$651$	8.80856	+	6.04536i	0.345235	+	0.236936i
$652$	−0.131164	+	0.489512i	−0.00513680	+	0.0191708i
$653$	−9.98626			−0.390793			−0.195396	−	0.980724i	$-0.562599\pi$
$653$	−9.98626			−0.390793			−0.195396	+	0.980724i	$0.562599\pi$
$654$	−1.99931			−0.0781794
$655$	−2.47325	+	9.23031i	−0.0966380	+	0.360658i
$656$	17.8133	+	4.77306i	0.695492	+	0.186357i
$657$	−15.2725	+	4.09226i	−0.595838	+	0.159654i
$658$	18.2406	+	6.44573i	0.711093	+	0.251281i
$659$	12.1444	−	21.0347i	0.473079	−	0.819397i	−0.526446	−	0.850208i	$-0.676476\pi$
$659$	12.1444	−	21.0347i	0.473079	−	0.819397i	0.999525	+	0.0308117i	$0.00980923\pi$
$660$			1.02919i			0.0400613i
$661$	23.2228	−	6.22253i	0.903262	−	0.242028i	0.222845	−	0.974854i	$-0.428466\pi$
$661$	23.2228	−	6.22253i	0.903262	−	0.242028i	0.680416	+	0.732826i	$0.261799\pi$
$662$	4.78681	−	2.76366i	0.186044	−	0.107413i
$663$	−0.107969	+	0.126214i	−0.00419316	+	0.00490173i
$664$		−	10.5632i		−	0.409931i
$665$	0.294336	+	1.58224i	0.0114139	+	0.0613566i
$666$	2.05024	+	3.55112i	0.0794453	+	0.137603i
$667$	22.5647	−	13.0277i	0.873707	−	0.504435i
$668$	−0.657709	−	0.176233i	−0.0254475	−	0.00681865i
$669$	−10.1576	−	10.1576i	−0.392714	−	0.392714i
$670$	−0.263118	+	0.981968i	−0.0101651	+	0.0379367i
$671$	−0.637296	−	0.637296i	−0.0246025	−	0.0246025i
$672$	6.24503	+	13.0707i	0.240907	+	0.504212i
$673$	−18.1748	+	10.4933i	−0.700589	+	0.404485i	−0.807567	−	0.589776i	$-0.799216\pi$
$673$	−18.1748	+	10.4933i	−0.700589	+	0.404485i	0.106978	+	0.994261i	$0.465883\pi$
$674$	11.6763	−	11.6763i	0.449754	−	0.449754i
$675$	2.25733	+	3.90981i	0.0868847	+	0.150489i
$676$	−7.76946	+	20.1452i	−0.298825	+	0.774814i
$677$	42.3269	+	24.4375i	1.62676	+	0.939208i	0.985052	+	0.172256i	$0.0551058\pi$
$677$	42.3269	+	24.4375i	1.62676	+	0.939208i	0.641705	+	0.766952i	$0.278228\pi$
$678$	−8.47643	−	2.27125i	−0.325535	−	0.0872269i
$679$	−1.27204	−	2.66234i	−0.0488163	−	0.102171i
$680$	−0.0592508	−	0.0342084i	−0.00227216	−	0.00131183i
$681$	−19.8561	+	5.32042i	−0.760886	+	0.203879i
$682$	−1.47897	+	1.47897i	−0.0566328	+	0.0566328i
$683$	28.8168	−	28.8168i	1.10264	−	1.10264i	0.108553	−	0.994091i	$-0.465378\pi$
$683$	28.8168	−	28.8168i	1.10264	−	1.10264i	0.994091	−	0.108553i	$-0.0346218\pi$
$684$	−1.40079	+	0.375340i	−0.0535604	+	0.0143515i
$685$	−7.04431	−	4.06703i	−0.269149	−	0.155393i
$686$	−10.4920	−	2.49685i	−0.400588	−	0.0953302i
$687$	3.99397	+	1.07018i	0.152380	+	0.0408300i
$688$	−2.68828	−	1.55208i	−0.102490	−	0.0591726i
$689$	33.2642	−	11.7500i	1.26727	−	0.447639i
$690$	0.647313	+	1.12118i	0.0246428	+	0.0426826i
$691$	2.28413	−	2.28413i	0.0868923	−	0.0868923i	−0.662325	−	0.749217i	$-0.730430\pi$
$691$	2.28413	−	2.28413i	0.0868923	−	0.0868923i	0.749217	+	0.662325i	$0.230430\pi$
$692$	−2.98595	+	1.72394i	−0.113509	+	0.0655342i
$693$	1.33166	−	1.94033i	0.0505856	−	0.0737072i
$694$	9.21538	+	9.21538i	0.349811	+	0.349811i
$695$	−0.173837	+	0.648769i	−0.00659402	+	0.0246092i
$696$	−12.3082	−	12.3082i	−0.466541	−	0.466541i
$697$	0.394457	+	0.105694i	0.0149411	+	0.00400346i
$698$	4.60193	−	2.65693i	0.174186	−	0.100566i
$699$	−0.994594	−	1.72269i	−0.0376190	−	0.0651580i
$700$	−12.8942	−	15.0769i	−0.487356	−	0.569855i
$701$			8.12097i			0.306725i	0.988170	+	0.153362i	$0.0490102\pi$
$701$			8.12097i			0.306725i	−0.988170	+	0.153362i	$0.950990\pi$
$702$	−1.18789	−	1.73131i	−0.0448340	−	0.0653441i
$703$	5.32452	−	3.07411i	0.200818	−	0.115942i
$704$	0.835292	−	0.223816i	0.0314812	−	0.00843537i
$705$			8.74759i			0.329453i
$706$	0.836893	−	1.44954i	0.0314969	−	0.0545542i
$707$	12.8768	−	36.4396i	0.484281	−	1.37045i
$708$	14.1934	−	3.80310i	0.533419	−	0.142929i
$709$	13.1733	+	3.52976i	0.494732	+	0.132563i	0.497554	−	0.867433i	$-0.334232\pi$
$709$	13.1733	+	3.52976i	0.494732	+	0.132563i	−0.00282213	+	0.999996i	$0.500898\pi$
$710$	0.0867828	−	0.323878i	0.00325690	−	0.0121549i
$711$	−9.47310			−0.355269
$712$	11.1479			0.417786
$713$	3.33510	−	12.4468i	0.124901	−	0.466135i
$714$	0.0305980	+	0.0640407i	0.00114510	+	0.00239666i
$715$	0.744143	+	2.10667i	0.0278294	+	0.0787850i
$716$	11.1376	−	19.2908i	0.416230	−	0.720932i
$717$	3.70928	+	13.8432i	0.138525	+	0.516984i
$718$	2.34958	−	4.06960i	0.0876857	−	0.151876i
$719$	−14.0292	−	24.2993i	−0.523200	−	0.906210i	−0.999635	−	0.0270000i	$-0.991405\pi$
$719$	−14.0292	−	24.2993i	−0.523200	−	0.906210i	0.476435	−	0.879210i	$-0.341929\pi$
$720$	−1.02478	+	1.02478i	−0.0381915	+	0.0381915i
$721$	−11.1891	+	31.6638i	−0.416705	+	1.17922i
$722$	2.74877	+	10.2586i	0.102299	+	0.381784i
$723$	−7.15869	−	26.7166i	−0.266234	−	0.993601i
$724$			3.86423i			0.143613i
$725$	31.9231	+	18.4308i	1.18560	+	0.684504i
$726$	−4.20373	−	4.20373i	−0.156015	−	0.156015i
$727$	−21.2410			−0.787785			−0.393893	−	0.919156i	$-0.628872\pi$
$727$	−21.2410			−0.787785			−0.393893	+	0.919156i	$0.628872\pi$
$728$	14.3784	+	14.3820i	0.532900	+	0.533034i
$729$	−1.00000			−0.0370370
$730$	−4.53574	−	4.53574i	−0.167875	−	0.167875i
$731$	−0.0595293	−	0.0343692i	−0.00220177	−	0.00127119i
$732$		−	1.68290i		−	0.0622019i
$733$	−2.19607	−	8.19585i	−0.0811138	−	0.302721i	0.913436	−	0.406982i	$-0.133419\pi$
$733$	−2.19607	−	8.19585i	−0.0811138	−	0.302721i	−0.994550	+	0.104261i	$0.966752\pi$
$734$	0.253078	+	0.944500i	0.00934128	+	0.0348621i
$735$	−0.516177	−	4.84923i	−0.0190395	−	0.178867i
$736$	12.3547	−	12.3547i	0.455399	−	0.455399i
$737$	−1.11446	−	1.93030i	−0.0410516	−	0.0711035i
$738$	−2.58118	+	4.47074i	−0.0950146	+	0.164570i
$739$	5.71616	+	21.3330i	0.210272	+	0.784747i	0.987777	+	0.155871i	$0.0498183\pi$
$739$	5.71616	+	21.3330i	0.210272	+	0.784747i	−0.777505	+	0.628877i	$0.783515\pi$
$740$	4.07372	−	7.05589i	0.149753	−	0.259380i
$741$	−2.59591	+	1.78111i	−0.0953631	+	0.0654306i
$742$	1.17282	−	15.0295i	0.0430555	−	0.551749i
$743$	−7.10193	+	26.5048i	−0.260544	+	0.972365i	0.704377	+	0.709826i	$0.251226\pi$
$743$	−7.10193	+	26.5048i	−0.260544	+	0.972365i	−0.964921	+	0.262539i	$0.915440\pi$
$744$	−8.60845			−0.315601
$745$	−1.61715			−0.0592478
$746$	4.86459	−	18.1549i	0.178105	−	0.664699i
$747$	−4.78606	−	1.28242i	−0.175113	−	0.0469213i
$748$	0.0657356	−	0.0176138i	0.00240353	−	0.000644024i
$749$	30.6731	−	5.70596i	1.12077	−	0.208491i
$750$	−1.93001	+	3.34287i	−0.0704739	+	0.122064i
$751$			8.08325i			0.294962i	0.989065	+	0.147481i	$0.0471165\pi$
$751$			8.08325i			0.294962i	−0.989065	+	0.147481i	$0.952883\pi$
$752$	25.2312	−	6.76067i	0.920086	−	0.246536i
$753$	−6.79478	+	3.92297i	−0.247616	+	0.142961i
$754$	−15.4675	−	7.39259i	−0.563294	−	0.269222i
$755$			9.49358i			0.345507i
$756$	4.32017	−	0.803659i	0.157123	−	0.0292288i
$757$	−15.2508	−	26.4151i	−0.554299	−	0.960074i	−0.997958	−	0.0638779i	$-0.979653\pi$
$757$	−15.2508	−	26.4151i	−0.554299	−	0.960074i	0.443659	−	0.896196i	$-0.353680\pi$
$758$	−10.4900	+	6.05638i	−0.381013	+	0.219978i
$759$	−2.74175	−	0.734651i	−0.0995194	−	0.0266661i
$760$	−0.916971	−	0.916971i	−0.0332620	−	0.0332620i
$761$	−3.64361	+	13.5982i	−0.132081	+	0.492933i	−0.999993	−	0.00378550i	$-0.998795\pi$
$761$	−3.64361	+	13.5982i	−0.132081	+	0.492933i	0.867912	+	0.496718i	$0.165462\pi$
$762$	2.93646	+	2.93646i	0.106377	+	0.106377i
$763$	0.706683	−	9.05602i	0.0255836	−	0.327850i
$764$	−33.0754	+	19.0961i	−1.19663	+	0.690872i
$765$	−0.0226928	+	0.0226928i	−0.000820460	+	0.000820460i
$766$	8.18928	+	14.1843i	0.295891	+	0.512498i
$767$	26.3028	−	18.0469i	0.949741	−	0.651637i
$768$	−4.12408	−	2.38104i	−0.148815	−	0.0859182i
$769$	−3.42800	−	0.918529i	−0.123617	−	0.0331230i	0.196480	−	0.980508i	$-0.437049\pi$
$769$	−3.42800	−	0.918529i	−0.123617	−	0.0331230i	−0.320097	+	0.947385i	$0.603715\pi$
$770$	0.951837	+	0.0742762i	0.0343018	+	0.00267673i
$771$	−0.315066	−	0.181903i	−0.0113468	−	0.00655109i
$772$	10.8250	−	2.90054i	0.389599	−	0.104393i
$773$	−34.6723	+	34.6723i	−1.24708	+	1.24708i	−0.290072	+	0.957005i	$0.593679\pi$
$773$	−34.6723	+	34.6723i	−1.24708	+	1.24708i	−0.957005	+	0.290072i	$0.906321\pi$
$774$	0.614438	−	0.614438i	0.0220855	−	0.0220855i
$775$	17.6090	−	4.71831i	0.632532	−	0.169487i
$776$	2.05899	+	1.18876i	0.0739134	+	0.0426739i
$777$	−16.8097	+	8.03151i	−0.603045	+	0.288129i
$778$	6.00087	+	1.60793i	0.215142	+	0.0576471i
$779$	6.70338	+	3.87020i	0.240173	+	0.138664i
$780$	−1.79901	+	3.76406i	−0.0644149	+	0.134775i
$781$	0.367577	+	0.636661i	0.0131529	+	0.0227815i
$782$	0.0605326	−	0.0605326i	0.00216464	−	0.00216464i
$783$	−7.07099	+	4.08244i	−0.252697	+	0.145894i
$784$	−13.5880	+	5.23662i	−0.485285	+	0.187022i
$785$	−2.16803	−	2.16803i	−0.0773802	−	0.0773802i
$786$	−2.06739	+	7.71559i	−0.0737412	+	0.275206i
$787$	−21.7018	−	21.7018i	−0.773585	−	0.773585i	0.205146	−	0.978731i	$-0.434233\pi$
$787$	−21.7018	−	21.7018i	−0.773585	−	0.773585i	−0.978731	+	0.205146i	$0.934233\pi$
$788$	−20.4857	−	5.48913i	−0.729774	−	0.195542i
$789$	−19.3524	+	11.1731i	−0.688963	+	0.397773i
$790$	−1.92158	−	3.32827i	−0.0683666	−	0.118414i
$791$	13.2839	−	37.5917i	0.472320	−	1.33661i
$792$			1.89625i			0.0673804i
$793$	−1.21680	−	3.44476i	−0.0432098	−	0.122327i
$794$	1.19651	−	0.690804i	0.0424624	−	0.0245157i
$795$	6.58420	−	1.76423i	0.233518	−	0.0625708i
$796$		−	1.37929i		−	0.0488876i
$797$	9.95011	−	17.2341i	0.352451	−	0.610463i	−0.634227	−	0.773147i	$-0.718682\pi$
$797$	9.95011	−	17.2341i	0.352451	−	0.610463i	0.986678	+	0.162684i	$0.0520150\pi$
$798$	0.246035	+	1.32259i	0.00870953	+	0.0468192i
$799$	0.558718	−	0.149708i	0.0197660	−	0.00529629i
$800$	23.8763	+	6.39764i	0.844155	+	0.226191i
$801$	1.35341	−	5.05100i	0.0478204	−	0.178468i
$802$	−18.1508			−0.640929
$803$	14.0638			0.496301
$804$	1.07719	−	4.02014i	0.0379897	−	0.141779i
$805$	−5.30725	+	2.53575i	−0.187056	+	0.0893734i
$806$	−7.99426	+	2.82383i	−0.281586	+	0.0994650i
$807$	13.1471	−	22.7714i	0.462798	−	0.801590i
$808$	8.05997	+	30.0802i	0.283549	+	1.05822i
$809$	1.70377	−	2.95102i	0.0599015	−	0.103752i	−0.834520	−	0.550978i	$-0.814255\pi$
$809$	1.70377	−	2.95102i	0.0599015	−	0.103752i	0.894421	+	0.447226i	$0.147588\pi$
$810$	−0.202846	−	0.351339i	−0.00712727	−	0.0123448i
$811$	6.11425	−	6.11425i	0.214700	−	0.214700i	−0.591560	−	0.806261i	$-0.701488\pi$
$811$	6.11425	−	6.11425i	0.214700	−	0.214700i	0.806261	+	0.591560i	$0.201488\pi$
$812$	27.2670	−	23.3195i	0.956884	−	0.818354i
$813$	0.0611447	+	0.228195i	0.00214444	+	0.00800315i
$814$	−0.943990	−	3.52302i	−0.0330868	−	0.123482i
$815$			0.212570i			0.00744600i
$816$	0.0829924	+	0.0479157i	0.00290532	+	0.00167738i
$817$	−0.921281	−	0.921281i	−0.0322316	−	0.0322316i
$818$	−13.4021			−0.468594
$819$	8.26195	−	4.76866i	0.288696	−	0.166631i
$820$	10.2573			0.358202
$821$	10.6416	+	10.6416i	0.371395	+	0.371395i	0.867985	−	0.496590i	$-0.165415\pi$
$821$	10.6416	+	10.6416i	0.371395	+	0.371395i	−0.496590	+	0.867985i	$0.665415\pi$
$822$	−5.88832	−	3.39962i	−0.205379	−	0.118576i
$823$		−	46.4521i		−	1.61922i	−0.586970	−	0.809608i	$-0.699680\pi$
$823$		−	46.4521i		−	1.61922i	0.586970	−	0.809608i	$-0.300320\pi$
$824$	−7.00362	−	26.1379i	−0.243983	−	0.910556i
$825$	−1.03934	−	3.87887i	−0.0361852	−	0.135045i
$826$	−2.49293	−	13.4010i	−0.0867400	−	0.466282i
$827$	30.9402	−	30.9402i	1.07590	−	1.07590i	0.0790236	−	0.996873i	$-0.474820\pi$
$827$	30.9402	−	30.9402i	1.07590	−	1.07590i	0.996873	−	0.0790236i	$-0.0251802\pi$
$828$	−2.65007	−	4.59006i	−0.0920964	−	0.159516i
$829$	−16.3432	+	28.3073i	−0.567623	+	0.983152i	0.429177	+	0.903220i	$0.358804\pi$
$829$	−16.3432	+	28.3073i	−0.567623	+	0.983152i	−0.996800	+	0.0799317i	$0.974530\pi$
$830$	−0.520267	−	1.94166i	−0.0180587	−	0.0673961i
$831$	0.943444	−	1.63409i	0.0327277	−	0.0566860i
$832$	3.44614	+	0.641513i	0.119473	+	0.0222405i
$833$	−0.300891	+	0.115959i	−0.0104253	+	0.00401776i
$834$	−0.145310	+	0.542305i	−0.00503168	+	0.0187785i
$835$	−0.285609			−0.00988392
$836$	1.28992			0.0446130
$837$	−1.04511	+	3.90039i	−0.0361242	+	0.134817i
$838$	−9.74464	−	2.61107i	−0.336623	−	0.0901978i
$839$	25.2872	−	6.77567i	0.873010	−	0.233922i	0.205621	−	0.978632i	$-0.434079\pi$
$839$	25.2872	−	6.77567i	0.873010	−	0.233922i	0.667389	+	0.744710i	$0.267412\pi$
$840$	2.55395	+	2.98628i	0.0881196	+	0.103036i
$841$	−18.8326	+	32.6190i	−0.649399	+	1.12479i
$842$			23.4567i			0.808371i
$843$	19.5100	−	5.22769i	0.671960	−	0.180051i
$844$	33.2788	−	19.2135i	1.14550	−	0.661357i
$845$	−0.960868	+	9.00547i	−0.0330549	+	0.309798i
$846$			7.31209i			0.251395i
$847$	20.5269	−	17.5552i	0.705314	−	0.603204i
$848$	−10.1773	−	17.6277i	−0.349491	−	0.605337i
$849$	14.8311	−	8.56272i	0.509001	−	0.293872i
$850$	0.116984	+	0.0313457i	0.00401251	+	0.00107515i
$851$	15.8889	+	15.8889i	0.544665	+	0.544665i
$852$	−0.355285	+	1.32594i	−0.0121719	+	0.0454260i
$853$	−26.6435	−	26.6435i	−0.912255	−	0.912255i	0.0841944	−	0.996449i	$-0.473168\pi$
$853$	−26.6435	−	26.6435i	−0.912255	−	0.912255i	−0.996449	+	0.0841944i	$0.973168\pi$
$854$	−1.55641	−	0.121454i	−0.0532594	−	0.00415608i
$855$	−0.526794	+	0.304145i	−0.0180160	+	0.0104015i
$856$	−17.7763	+	17.7763i	−0.607581	+	0.607581i
$857$	−14.1671	−	24.5382i	−0.483940	−	0.838208i	0.515890	−	0.856655i	$-0.327461\pi$
$857$	−14.1671	−	24.5382i	−0.483940	−	0.838208i	−0.999830	+	0.0184467i	$0.994128\pi$
$858$	0.622028	+	1.76096i	0.0212357	+	0.0601182i
$859$	−10.1518	−	5.86113i	−0.346374	−	0.199979i	0.316713	−	0.948521i	$-0.397421\pi$
$859$	−10.1518	−	5.86113i	−0.346374	−	0.199979i	−0.663087	+	0.748542i	$0.730754\pi$
$860$	−1.66772	−	0.446864i	−0.0568687	−	0.0152379i
$861$	−19.3381	−	13.2719i	−0.659042	−	0.452304i
$862$	17.0885	+	9.86603i	0.582036	+	0.336038i
$863$	−41.5172	+	11.1245i	−1.41326	+	0.378682i	−0.883088	−	0.469207i	$-0.844540\pi$
$863$	−41.5172	+	11.1245i	−1.41326	+	0.378682i	−0.530174	+	0.847889i	$0.677873\pi$
$864$	−3.87153	+	3.87153i	−0.131712	+	0.131712i
$865$	−1.02263	+	1.02263i	−0.0347704	+	0.0347704i
$866$	−17.1339	+	4.59101i	−0.582233	+	0.156009i
$867$	−14.7206	−	8.49894i	−0.499938	−	0.288639i
$868$	1.38045	−	17.6903i	0.0468556	−	0.600447i
$869$	8.13902	+	2.18084i	0.276097	+	0.0739800i
$870$	−2.86864	−	1.65621i	−0.0972560	−	0.0561508i
$871$	−0.701781	−	9.00774i	−0.0237789	−	0.305215i
$872$	3.65963	+	6.33866i	0.123931	+	0.214654i
$873$	0.788584	−	0.788584i	0.0266895	−	0.0266895i
$874$	1.40521	−	0.811301i	0.0475321	−	0.0274427i
$875$	−14.4596	−	9.92367i	−0.488823	−	0.335481i
$876$	18.5691	+	18.5691i	0.627392	+	0.627392i
$877$	7.43615	−	27.7521i	0.251101	−	0.937122i	−0.719117	−	0.694889i	$-0.755454\pi$
$877$	7.43615	−	27.7521i	0.251101	−	0.937122i	0.970218	−	0.242233i	$-0.0778798\pi$
$878$	1.12238	+	1.12238i	0.0378784	+	0.0378784i
$879$	−0.0551536	−	0.0147783i	−0.00186028	−	0.000498461i
$880$	1.11639	−	0.644545i	0.0376333	−	0.0217276i
$881$	−20.6648	−	35.7924i	−0.696213	−	1.20588i	−0.969770	−	0.244021i	$-0.921534\pi$
$881$	−20.6648	−	35.7924i	−0.696213	−	1.20588i	0.273557	−	0.961856i	$-0.411800\pi$
$882$	−0.431471	−	4.05346i	−0.0145284	−	0.136487i
$883$		−	14.7746i		−	0.497205i	−0.968606	−	0.248603i	$-0.920029\pi$
$883$		−	14.7746i		−	0.497205i	0.968606	−	0.248603i	$-0.0799713\pi$
$884$	0.271203	+	0.0504857i	0.00912156	+	0.00169802i
$885$	5.33770	−	3.08172i	0.179425	−	0.103591i
$886$	19.5637	−	5.24207i	0.657255	−	0.176111i
$887$		−	16.0526i		−	0.538994i	−0.963001	−	0.269497i	$-0.913143\pi$
$887$		−	16.0526i		−	0.538994i	0.963001	−	0.269497i	$-0.0868575\pi$
$888$	7.50570	−	13.0002i	0.251875	−	0.436260i
$889$	−14.3388	+	12.2629i	−0.480908	+	0.411286i
$890$	2.04915	−	0.549067i	0.0686875	−	0.0184048i
$891$	0.859171	+	0.230214i	0.0287833	+	0.00771247i
$892$	−6.17504	+	23.0456i	−0.206756	+	0.771622i
$893$	10.9637			0.366885
$894$	−1.35177			−0.0452100
$895$	2.41824	−	9.02498i	0.0808327	−	0.301672i
$896$	17.2416	−	25.1224i	0.576002	−	0.839280i
$897$	−8.74326	−	7.47937i	−0.291929	−	0.249729i
$898$	10.5895	−	18.3415i	0.353376	−	0.612065i
$899$	8.53316	+	31.8462i	0.284597	+	1.06213i
$900$	3.74917	−	6.49375i	0.124972	−	0.216458i
$901$	−0.225367	−	0.390347i	−0.00750805	−	0.0130043i
$902$	3.24691	−	3.24691i	0.108110	−	0.108110i
$903$	2.56595	+	3.00031i	0.0853896	+	0.0998442i
$904$	8.31479	+	31.0312i	0.276546	+	1.03208i
$905$	0.419509	+	1.56563i	0.0139449	+	0.0520432i
$906$			7.93566i			0.263645i
$907$	13.4150	+	7.74514i	0.445437	+	0.257173i	0.705901	−	0.708310i	$-0.250542\pi$
$907$	13.4150	+	7.74514i	0.445437	+	0.257173i	−0.260464	+	0.965484i	$0.583876\pi$
$908$	24.1420	+	24.1420i	0.801181	+	0.801181i
$909$	14.6075			0.484501
$910$	3.35132	+	1.93544i	0.111095	+	0.0641593i
$911$	−28.0514			−0.929383			−0.464691	−	0.885473i	$-0.653835\pi$
$911$	−28.0514			−0.929383			−0.464691	+	0.885473i	$0.653835\pi$
$912$	1.28440	+	1.28440i	0.0425307	+	0.0425307i
$913$	3.81681	+	2.20364i	0.126318	+	0.0729298i
$914$		−	18.5401i		−	0.613253i
$915$	−0.182700	−	0.681844i	−0.00603986	−	0.0225411i
$916$	−1.77745	−	6.63353i	−0.0587285	−	0.219178i
$917$	−34.2175	−	12.0915i	−1.12996	−	0.399298i
$918$	−0.0189689	+	0.0189689i	−0.000626065	+	0.000626065i
$919$	−17.5562	−	30.4083i	−0.579127	−	1.00308i	−0.995580	−	0.0939198i	$-0.970060\pi$
$919$	−17.5562	−	30.4083i	−0.579127	−	1.00308i	0.416453	−	0.909157i	$-0.363273\pi$
$920$	2.36974	−	4.10451i	0.0781279	−	0.135322i
$921$	6.48484	+	24.2017i	0.213683	+	0.797475i
$922$	−5.25412	+	9.10041i	−0.173035	+	0.299706i
$923$	0.231465	+	2.97098i	0.00761877	+	0.0977909i
$924$	−3.89678	−	0.304084i	−0.128195	−	0.0100036i
$925$	−8.22777	+	30.7065i	−0.270527	+	1.00962i
$926$	−13.3782			−0.439636
$927$	−12.6930			−0.416894
$928$	−11.5703	+	43.1808i	−0.379813	+	1.41748i
$929$	6.77606	+	1.81564i	0.222315	+	0.0595692i	0.368257	−	0.929724i	$-0.379955\pi$
$929$	6.77606	+	1.81564i	0.222315	+	0.0595692i	−0.145942	+	0.989293i	$0.546621\pi$
$930$	−1.58235	+	0.423991i	−0.0518875	+	0.0139032i
$931$	−6.07772	+	0.646944i	−0.199189	+	0.0212027i
$932$	−1.65190	+	2.86118i	−0.0541099	+	0.0937211i
$933$		−	19.0446i		−	0.623493i
$934$	21.0824	−	5.64901i	0.689837	−	0.184841i
$935$	0.0247212	−	0.0142728i	0.000808470	−	0.000466770i
$936$	−3.31462	+	6.93517i	−0.108342	+	0.226683i
$937$			40.3619i			1.31857i	0.751894	+	0.659284i	$0.229140\pi$
$937$			40.3619i			1.31857i	−0.751894	+	0.659284i	$0.770860\pi$
$938$	−3.64024	−	1.28636i	−0.118858	−	0.0420012i
$939$	−1.49590	−	2.59097i	−0.0488167	−	0.0845530i
$940$	12.5822	−	7.26437i	0.410388	−	0.236937i
$941$	26.7377	+	7.16434i	0.871624	+	0.233551i	0.666790	−	0.745246i	$-0.267668\pi$
$941$	26.7377	+	7.16434i	0.871624	+	0.233551i	0.204834	+	0.978797i	$0.434335\pi$
$942$	−1.81225	−	1.81225i	−0.0590463	−	0.0590463i
$943$	−7.32182	+	27.3254i	−0.238431	+	0.889838i
$944$	−13.0141	−	13.0141i	−0.423572	−	0.423572i
$945$	1.66311	−	0.794617i	0.0541010	−	0.0258489i
$946$	−0.669360	+	0.386455i	−0.0217628	+	0.0125647i
$947$	5.48950	−	5.48950i	0.178385	−	0.178385i	−0.612267	−	0.790651i	$-0.709742\pi$
$947$	5.48950	−	5.48950i	0.178385	−	0.178385i	0.790651	+	0.612267i	$0.209742\pi$
$948$	7.86686	+	13.6258i	0.255504	+	0.442545i
$949$	51.4356	+	24.5833i	1.66967	+	0.798007i
$950$	1.98801	+	1.14778i	0.0644997	+	0.0372389i
$951$	0.683930	+	0.183258i	0.0221779	+	0.00594256i
$952$	0.147028	−	0.214231i	0.00476520	−	0.00694327i
$953$	19.1100	+	11.0332i	0.619034	+	0.357400i	0.776493	−	0.630126i	$-0.216997\pi$
$953$	19.1100	+	11.0332i	0.619034	+	0.357400i	−0.157459	+	0.987526i	$0.550330\pi$
$954$	5.50372	−	1.47472i	0.178190	−	0.0477457i
$955$	−11.3277	+	11.3277i	−0.366556	+	0.366556i
$956$	16.8313	−	16.8313i	0.544362	−	0.544362i
$957$	7.01503	−	1.87967i	0.226764	−	0.0607611i
$958$	−13.4791	−	7.78217i	−0.435490	−	0.251430i
$959$	17.4801	−	25.4699i	0.564462	−	0.822466i
$960$	0.654219	+	0.175298i	0.0211148	+	0.00565770i
$961$	−12.7260	−	7.34735i	−0.410516	−	0.237011i
$962$	2.70572	−	14.5348i	0.0872359	−	0.468621i
$963$	5.89611	+	10.2124i	0.190000	+	0.329089i
$964$	−32.4834	+	32.4834i	−1.04622	+	1.04622i
$965$	4.07094	−	2.35036i	0.131048	−	0.0756608i
$966$	−4.43632	+	2.11963i	−0.142736	+	0.0681979i
$967$	−38.9477	−	38.9477i	−1.25248	−	1.25248i	−0.954607	−	0.297868i	$-0.903724\pi$
$967$	−38.9477	−	38.9477i	−1.25248	−	1.25248i	−0.297868	−	0.954607i	$-0.596276\pi$
$968$	−5.63290	+	21.0223i	−0.181048	+	0.675682i
$969$	0.0284417	+	0.0284417i	0.000913679	+	0.000913679i
$970$	0.437021	+	0.117100i	0.0140319	+	0.00375984i
$971$	22.0504	−	12.7308i	0.707630	−	0.408551i	−0.102553	−	0.994728i	$-0.532701\pi$
$971$	22.0504	−	12.7308i	0.707630	−	0.408551i	0.810183	+	0.586177i	$0.199368\pi$
$972$	0.830442	+	1.43837i	0.0266364	+	0.0461357i
$973$	−2.40504	−	0.849876i	−0.0771021	−	0.0272458i
$974$			14.4320i			0.462430i
$975$	2.97902	−	16.0029i	0.0954049	−	0.512504i
$976$	−1.82548	+	1.05394i	−0.0584322	+	0.0337358i
$977$	−30.1690	+	8.08375i	−0.965191	+	0.258622i	−0.706796	−	0.707417i	$-0.749860\pi$
$977$	−30.1690	+	8.08375i	−0.965191	+	0.258622i	−0.258395	+	0.966039i	$0.583194\pi$
$978$			0.177687i			0.00568180i
$979$	−2.32562	+	4.02810i	−0.0743273	+	0.128739i
$980$	−6.54632	+	4.76945i	−0.209114	+	0.152355i
$981$	3.31627	−	0.888593i	0.105880	−	0.0283706i
$982$	−6.24887	−	1.67438i	−0.199409	−	0.0534316i
$983$	−11.2863	+	42.1212i	−0.359978	+	1.34346i	0.514125	+	0.857715i	$0.328117\pi$
$983$	−11.2863	+	42.1212i	−0.359978	+	1.34346i	−0.874103	+	0.485741i	$0.838550\pi$
$984$	18.8988			0.602472
$985$	−8.89589			−0.283447
$986$	−0.0566894	+	0.211568i	−0.00180536	+	0.00673769i
$987$	−33.1206	−	2.58455i	−1.05424	−	0.0822671i
$988$	4.71764	+	2.25476i	0.150088	+	0.0717336i
$989$	2.38088	−	4.12380i	0.0757075	−	0.131129i
$990$	0.0933959	+	0.348558i	0.00296832	+	0.0110779i
$991$	7.25148	−	12.5599i	0.230351	−	0.398979i	−0.727561	−	0.686043i	$-0.759346\pi$
$991$	7.25148	−	12.5599i	0.230351	−	0.398979i	0.957911	+	0.287064i	$0.0926793\pi$
$992$	11.0543	+	19.1467i	0.350975	+	0.607907i
$993$	−6.71159	+	6.71159i	−0.212986	+	0.212986i
$994$	1.20064	+	0.424274i	0.0380821	+	0.0134572i
$995$	−0.149738	−	0.558832i	−0.00474703	−	0.0177162i
$996$	2.12995	+	7.94908i	0.0674901	+	0.251876i
$997$			48.9575i			1.55050i	0.631655	+	0.775249i	$0.282376\pi$
$997$			48.9575i			1.55050i	−0.631655	+	0.775249i	$0.717624\pi$
$998$	0.0937696	+	0.0541379i	0.00296823	+	0.00171371i
$999$	−4.97904	−	4.97904i	−0.157530	−	0.157530i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bt.a.271.4	yes	36
3.2	odd	2		819.2.et.c.271.6		36
7.3	odd	6		273.2.cg.a.115.6	yes	36
13.6	odd	12		273.2.cg.a.19.6	yes	36
21.17	even	6		819.2.gh.c.388.4		36
39.32	even	12		819.2.gh.c.19.4		36
91.45	even	12	inner	273.2.bt.a.136.4	✓	36
273.227	odd	12		819.2.et.c.136.6		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.a.136.4	✓	36	91.45	even	12	inner
273.2.bt.a.271.4	yes	36	1.1	even	1	trivial
273.2.cg.a.19.6	yes	36	13.6	odd	12
273.2.cg.a.115.6	yes	36	7.3	odd	6
819.2.et.c.136.6		36	273.227	odd	12
819.2.et.c.271.6		36	3.2	odd	2
819.2.gh.c.19.4		36	39.32	even	12
819.2.gh.c.388.4		36	21.17	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.bt (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.411775 - 0.411775i) q^{2} +(0.866025 + 0.500000i) q^{3} -1.66088i q^{4} +(-0.180309 - 0.672922i) q^{5} +(-0.150720 - 0.562494i) q^{6} +(2.60113 - 0.483875i) q^{7} +(-1.50746 + 1.50746i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.411775 - 0.411775i) q^{2} +(0.866025 + 0.500000i) q^{3} -1.66088i q^{4} +(-0.180309 - 0.672922i) q^{5} +(-0.150720 - 0.562494i) q^{6} +(2.60113 - 0.483875i) q^{7} +(-1.50746 + 1.50746i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.202846 + 0.351339i) q^{10} +(-0.230214 - 0.859171i) q^{11} +(0.830442 - 1.43837i) q^{12} +(0.659853 - 3.54466i) q^{13} +(-1.27033 - 0.871831i) q^{14} +(0.180309 - 0.672922i) q^{15} -2.08030 q^{16} -0.0460661 q^{17} +(0.150720 - 0.562494i) q^{18} +(-0.843398 - 0.225988i) q^{19} +(-1.11765 + 0.299472i) q^{20} +(2.49458 + 0.881516i) q^{21} +(-0.258989 + 0.448581i) q^{22} -3.19116i q^{23} +(-2.05923 + 0.551768i) q^{24} +(3.90981 - 2.25733i) q^{25} +(-1.73131 + 1.18789i) q^{26} +1.00000i q^{27} +(-0.803659 - 4.32017i) q^{28} +(4.08244 + 7.07099i) q^{29} +(-0.351339 + 0.202846i) q^{30} +(3.90039 + 1.04511i) q^{31} +(3.87153 + 3.87153i) q^{32} +(0.230214 - 0.859171i) q^{33} +(0.0189689 + 0.0189689i) q^{34} +(-0.794617 - 1.66311i) q^{35} +(1.43837 - 0.830442i) q^{36} +(-4.97904 + 4.97904i) q^{37} +(0.254234 + 0.440346i) q^{38} +(2.34378 - 2.73984i) q^{39} +(1.28621 + 0.742594i) q^{40} +(-8.56284 - 2.29441i) q^{41} +(-0.664219 - 1.39019i) q^{42} +(1.29226 + 0.746085i) q^{43} +(-1.42698 + 0.382359i) q^{44} +(0.492613 - 0.492613i) q^{45} +(-1.31404 + 1.31404i) q^{46} +(-12.1286 + 3.24985i) q^{47} +(-1.80159 - 1.04015i) q^{48} +(6.53173 - 2.51724i) q^{49} +(-2.53947 - 0.680450i) q^{50} +(-0.0398944 - 0.0230331i) q^{51} +(-5.88726 - 1.09594i) q^{52} +(4.89224 + 8.47362i) q^{53} +(0.411775 - 0.411775i) q^{54} +(-0.536646 + 0.309833i) q^{55} +(-3.19167 + 4.65051i) q^{56} +(-0.617410 - 0.617410i) q^{57} +(1.23061 - 4.59270i) q^{58} +(6.25586 + 6.25586i) q^{59} +(-1.11765 - 0.299472i) q^{60} +(0.877507 - 0.506629i) q^{61} +(-1.17573 - 2.03643i) q^{62} +(1.71961 + 2.01071i) q^{63} +0.972206i q^{64} +(-2.50426 + 0.195103i) q^{65} +(-0.448581 + 0.258989i) q^{66} +(2.42048 - 0.648566i) q^{67} +0.0765105i q^{68} +(1.59558 - 2.76363i) q^{69} +(-0.357623 + 1.01203i) q^{70} +(-0.798336 + 0.213913i) q^{71} +(-2.05923 - 0.551768i) q^{72} +(-4.09226 + 15.2725i) q^{73} +4.10048 q^{74} +4.51466 q^{75} +(-0.375340 + 1.40079i) q^{76} +(-1.01455 - 2.12342i) q^{77} +(-2.09330 + 0.163087i) q^{78} +(-4.73655 + 8.20394i) q^{79} +(0.375097 + 1.39988i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(2.58118 + 4.47074i) q^{82} +(-3.50364 + 3.50364i) q^{83} +(1.46410 - 4.14321i) q^{84} +(0.00830614 + 0.0309989i) q^{85} +(-0.224900 - 0.839337i) q^{86} +8.16487i q^{87} +(1.64220 + 0.948127i) q^{88} +(-3.69759 - 3.69759i) q^{89} -0.405691 q^{90} +(0.00119323 - 9.53939i) q^{91} -5.30014 q^{92} +(2.85528 + 2.85528i) q^{93} +(6.33246 + 3.65605i) q^{94} +0.608289i q^{95} +(1.41708 + 5.28861i) q^{96} +(-0.288642 - 1.07723i) q^{97} +(-3.72614 - 1.65306i) q^{98} +(0.628957 - 0.628957i) 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	\( 36 q + 6 q^{7} + 18 q^{9} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) \) 36 * q + 6 * q^7 + 18 * q^9 - 8 * q^11 - 16 * q^12 + 42 * q^14 - 24 * q^16 - 8 * q^17 - 18 * q^19 + 14 * q^20 - 4 * q^21 + 4 * q^22 + 18 * q^24 + 24 * q^25 - 50 * q^26 + 34 * q^28 + 8 * q^29 + 6 * q^31 - 50 * q^32 + 8 * q^33 - 24 * q^34 + 14 * q^35 - 14 * q^37 - 8 * q^38 - 2 * q^39 - 30 * q^40 + 34 * q^41 - 18 * q^42 + 30 * q^43 + 28 * q^44 - 32 * q^46 - 10 * q^47 + 24 * q^48 + 6 * q^49 - 20 * q^50 - 24 * q^51 + 4 * q^52 - 8 * q^53 - 30 * q^55 - 92 * q^56 - 24 * q^57 + 72 * q^58 - 70 * q^59 + 14 * q^60 - 60 * q^61 - 48 * q^62 + 6 * q^63 - 44 * q^65 + 18 * q^66 - 46 * q^67 + 4 * q^69 + 80 * q^70 + 42 * q^71 + 18 * q^72 - 56 * q^73 + 40 * q^74 - 20 * q^75 + 12 * q^76 + 24 * q^77 - 16 * q^78 + 170 * q^80 - 18 * q^81 + 24 * q^82 - 60 * q^83 + 2 * q^85 + 12 * q^86 + 84 * q^88 + 64 * q^89 - 86 * q^91 - 100 * q^92 + 12 * q^93 - 66 * q^94 + 46 * q^96 + 36 * q^97 - 22 * q^98 - 4 * q^99

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