LMFDB - Embedded newform 276.2.m.a.7.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(7,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 19]))

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

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

chi := DirichletCharacter("276.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.m (of order $22$, degree $10$, 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:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			7.13
Character	$\chi$	$=$	276.7
Dual form			276.2.m.a.79.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.101854 - 1.41054i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.97925 - 0.287338i) q^{4} +(-1.98780 + 0.907796i) q^{5} +(1.24169 - 0.676911i) q^{6} +(-4.66467 + 1.36967i) q^{7} +(-0.606897 + 2.76255i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})$	\(q+(0.101854 - 1.41054i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.97925 - 0.287338i) q^{4} +(-1.98780 + 0.907796i) q^{5} +(1.24169 - 0.676911i) q^{6} +(-4.66467 + 1.36967i) q^{7} +(-0.606897 + 2.76255i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(1.07802 + 2.89633i) q^{10} +(2.33009 + 2.68907i) q^{11} +(-0.828340 - 1.82040i) q^{12} +(1.24547 + 0.365703i) q^{13} +(1.45686 + 6.71922i) q^{14} +(-1.83837 - 1.18145i) q^{15} +(3.83487 + 1.13743i) q^{16} +(-3.96838 - 0.570567i) q^{17} +(1.24076 + 0.678609i) q^{18} +(-0.618827 - 4.30403i) q^{19} +(4.19519 - 1.22559i) q^{20} +(-3.67415 - 3.18367i) q^{21} +(4.03037 - 3.01280i) q^{22} +(-4.40930 + 1.88629i) q^{23} +(-2.65212 + 0.982993i) q^{24} +(-0.147067 + 0.169724i) q^{25} +(0.642695 - 1.71954i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(9.62612 - 1.37059i) q^{28} +(-0.820726 + 5.70828i) q^{29} +(-1.85373 + 2.47276i) q^{30} +(3.68171 - 5.72885i) q^{31} +(1.99499 - 5.29339i) q^{32} +(-1.00245 + 3.41402i) q^{33} +(-1.20900 + 5.53945i) q^{34} +(8.02903 - 6.95720i) q^{35} +(1.08358 - 1.68103i) q^{36} +(-6.57344 - 3.00199i) q^{37} +(-6.13405 + 0.434498i) q^{38} +(0.365703 + 1.24547i) q^{39} +(-1.30144 - 6.04232i) q^{40} +(5.12081 + 11.2130i) q^{41} +(-4.86493 + 4.85828i) q^{42} +(5.98696 - 3.84759i) q^{43} +(-3.83917 - 5.99187i) q^{44} -2.18527i q^{45} +(2.21158 + 6.41162i) q^{46} +1.24439i q^{47} +(1.11642 + 3.84104i) q^{48} +(13.9944 - 8.99366i) q^{49} +(0.224424 + 0.224731i) q^{50} +(-1.66548 - 3.64689i) q^{51} +(-2.36002 - 1.08169i) q^{52} +(-0.416712 - 1.41919i) q^{53} +(0.0999238 + 1.41068i) q^{54} +(-7.07288 - 3.23007i) q^{55} +(-0.952810 - 13.7176i) q^{56} +(3.28622 - 2.84753i) q^{57} +(7.96816 + 1.73908i) q^{58} +(-1.60544 + 5.46763i) q^{59} +(3.29912 + 2.86662i) q^{60} +(-5.55993 + 8.65142i) q^{61} +(-7.70578 - 5.77671i) q^{62} +(0.691878 - 4.81212i) q^{63} +(-7.26335 - 3.35316i) q^{64} +(-2.80772 + 0.403690i) q^{65} +(4.71351 + 1.76172i) q^{66} +(-7.73898 + 8.93126i) q^{67} +(7.69048 + 2.26956i) q^{68} +(-3.97069 - 2.68953i) q^{69} +(-8.99562 - 12.0339i) q^{70} +(3.30433 + 2.86322i) q^{71} +(-2.26079 - 1.69966i) q^{72} +(-0.0910248 - 0.633092i) q^{73} +(-4.90396 + 8.96634i) q^{74} +(-0.222292 - 0.0319607i) q^{75} +(-0.0118994 + 8.69658i) q^{76} +(-14.5523 - 9.35218i) q^{77} +(1.79403 - 0.388983i) q^{78} +(3.48038 + 1.02193i) q^{79} +(-8.65550 + 1.22031i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(16.3380 - 6.08102i) q^{82} +(2.11994 - 4.64203i) q^{83} +(6.35728 + 7.35701i) q^{84} +(8.40629 - 2.46831i) q^{85} +(-4.81738 - 8.83675i) q^{86} +(-5.24583 + 2.39569i) q^{87} +(-8.84282 + 4.80501i) q^{88} +(-2.01147 - 3.12990i) q^{89} +(-3.08242 - 0.222579i) q^{90} -6.31060 q^{91} +(9.26911 - 2.46648i) q^{92} +6.80990 q^{93} +(1.75526 + 0.126745i) q^{94} +(5.13728 + 7.99377i) q^{95} +(5.53166 - 1.18354i) q^{96} +(6.15382 - 2.81035i) q^{97} +(-11.2605 - 20.6557i) q^{98} +(-3.41402 + 1.00245i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	$ 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) $ 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{19}{22}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	0.101854	−	1.41054i	0.0720216	−	0.997403i
$2$	0.101854	−	1.41054i	0.0720216	−	0.997403i
$3$	0.540641	+	0.841254i	0.312139	+	0.485698i
$3$	0.540641	+	0.841254i	0.312139	+	0.485698i
$4$	−1.97925	−	0.287338i	−0.989626	−	0.143669i
$5$	−1.98780	+	0.907796i	−0.888969	+	0.405979i	−0.806928	−	0.590650i	$-0.798871\pi$
$5$	−1.98780	+	0.907796i	−0.888969	+	0.405979i	−0.0820414	+	0.996629i	$0.526144\pi$
$6$	1.24169	−	0.676911i	0.506917	−	0.276348i
$7$	−4.66467	+	1.36967i	−1.76308	+	0.517687i	−0.992775	−	0.119988i	$-0.961714\pi$
$7$	−4.66467	+	1.36967i	−1.76308	+	0.517687i	−0.770305	+	0.637675i	$0.779896\pi$
$8$	−0.606897	+	2.76255i	−0.214570	+	0.976709i
$9$	−0.415415	+	0.909632i	−0.138472	+	0.303211i
$10$	1.07802	+	2.89633i	0.340899	+	0.915900i
$11$	2.33009	+	2.68907i	0.702550	+	0.810786i	0.989095	−	0.147281i	$-0.0470522\pi$
$11$	2.33009	+	2.68907i	0.702550	+	0.810786i	−0.286545	+	0.958067i	$0.592507\pi$
$12$	−0.828340	−	1.82040i	−0.239121	−	0.525504i
$13$	1.24547	+	0.365703i	0.345431	+	0.101428i	0.449846	−	0.893106i	$-0.351479\pi$
$13$	1.24547	+	0.365703i	0.345431	+	0.101428i	−0.104415	+	0.994534i	$0.533297\pi$
$14$	1.45686	+	6.71922i	0.389363	+	1.79579i
$15$	−1.83837	−	1.18145i	−0.474665	−	0.305049i
$16$	3.83487	+	1.13743i	0.958718	+	0.284357i
$17$	−3.96838	−	0.570567i	−0.962474	−	0.138383i	−0.356874	−	0.934152i	$-0.616158\pi$
$17$	−3.96838	−	0.570567i	−0.962474	−	0.138383i	−0.605600	+	0.795770i	$0.707067\pi$
$18$	1.24076	+	0.678609i	0.292450	+	0.159950i
$19$	−0.618827	−	4.30403i	−0.141969	−	0.987413i	−0.928889	−	0.370359i	$-0.879235\pi$
$19$	−0.618827	−	4.30403i	−0.141969	−	0.987413i	0.786920	−	0.617055i	$-0.211674\pi$
$20$	4.19519	−	1.22559i	0.938073	−	0.274049i
$21$	−3.67415	−	3.18367i	−0.801766	−	0.694734i
$22$	4.03037	−	3.01280i	0.859279	−	0.642331i
$23$	−4.40930	+	1.88629i	−0.919402	+	0.393319i
$23$	−4.40930	+	1.88629i	−0.919402	+	0.393319i
$24$	−2.65212	+	0.982993i	−0.541361	+	0.200653i
$25$	−0.147067	+	0.169724i	−0.0294134	+	0.0339449i
$26$	0.642695	−	1.71954i	0.126043	−	0.337229i
$27$	−0.989821	+	0.142315i	−0.190491	+	0.0273885i
$28$	9.62612	−	1.37059i	1.81917	−	0.259016i
$29$	−0.820726	+	5.70828i	−0.152405	+	1.06000i	0.759768	+	0.650195i	$0.225313\pi$
$29$	−0.820726	+	5.70828i	−0.152405	+	1.06000i	−0.912173	+	0.409806i	$0.865596\pi$
$30$	−1.85373	+	2.47276i	−0.338443	+	0.451462i
$31$	3.68171	−	5.72885i	0.661254	−	1.02893i	−0.334979	−	0.942225i	$-0.608729\pi$
$31$	3.68171	−	5.72885i	0.661254	−	1.02893i	0.996234	−	0.0867066i	$-0.0276343\pi$
$32$	1.99499	−	5.29339i	0.352667	−	0.935749i
$33$	−1.00245	+	3.41402i	−0.174504	+	0.594305i
$34$	−1.20900	+	5.53945i	−0.207342	+	0.950008i
$35$	8.02903	−	6.95720i	1.35715	−	1.17598i
$36$	1.08358	−	1.68103i	0.180597	−	0.280171i
$37$	−6.57344	−	3.00199i	−1.08067	−	0.493524i	−0.206151	−	0.978520i	$-0.566094\pi$
$37$	−6.57344	−	3.00199i	−1.08067	−	0.493524i	−0.874516	+	0.484996i	$0.838821\pi$
$38$	−6.13405	+	0.434498i	−0.995074	+	0.0704849i
$39$	0.365703	+	1.24547i	0.0585593	+	0.199435i
$40$	−1.30144	−	6.04232i	−0.205776	−	0.955375i
$41$	5.12081	+	11.2130i	0.799736	+	1.75118i	0.646394	+	0.763003i	$0.276276\pi$
$41$	5.12081	+	11.2130i	0.799736	+	1.75118i	0.153341	+	0.988173i	$0.450997\pi$
$42$	−4.86493	+	4.85828i	−0.750675	+	0.749648i
$43$	5.98696	−	3.84759i	0.913003	−	0.586751i	0.00238346	−	0.999997i	$-0.499241\pi$
$43$	5.98696	−	3.84759i	0.913003	−	0.586751i	0.910620	+	0.413246i	$0.135605\pi$
$44$	−3.83917	−	5.99187i	−0.578776	−	0.903309i
$45$		−	2.18527i		−	0.325761i
$46$	2.21158	+	6.41162i	0.326080	+	0.945342i
$47$			1.24439i			0.181512i	0.995873	+	0.0907561i	$0.0289284\pi$
$47$			1.24439i			0.181512i	−0.995873	+	0.0907561i	$0.971072\pi$
$48$	1.11642	+	3.84104i	0.161142	+	0.554407i
$49$	13.9944	−	8.99366i	1.99920	−	1.28481i
$50$	0.224424	+	0.224731i	0.0317383	+	0.0317818i
$51$	−1.66548	−	3.64689i	−0.233214	−	0.510666i
$52$	−2.36002	−	1.08169i	−0.327276	−	0.150003i
$53$	−0.416712	−	1.41919i	−0.0572398	−	0.194941i	0.925909	−	0.377746i	$-0.123301\pi$
$53$	−0.416712	−	1.41919i	−0.0572398	−	0.194941i	−0.983149	+	0.182805i	$0.941482\pi$
$54$	0.0999238	+	1.41068i	0.0135979	+	0.191969i
$55$	−7.07288	−	3.23007i	−0.953706	−	0.435543i
$56$	−0.952810	−	13.7176i	−0.127325	−	1.83310i
$57$	3.28622	−	2.84753i	0.435271	−	0.377164i
$58$	7.96816	+	1.73908i	1.04627	+	0.228352i
$59$	−1.60544	+	5.46763i	−0.209011	+	0.711825i	0.786535	+	0.617546i	$0.211873\pi$
$59$	−1.60544	+	5.46763i	−0.209011	+	0.711825i	−0.995546	+	0.0942793i	$0.969945\pi$
$60$	3.29912	+	2.86662i	0.425915	+	0.370079i
$61$	−5.55993	+	8.65142i	−0.711876	+	1.10770i	0.277274	+	0.960791i	$0.410569\pi$
$61$	−5.55993	+	8.65142i	−0.711876	+	1.10770i	−0.989150	+	0.146910i	$0.953067\pi$
$62$	−7.70578	−	5.77671i	−0.978635	−	0.733643i
$63$	0.691878	−	4.81212i	0.0871685	−	0.606270i
$64$	−7.26335	−	3.35316i	−0.907919	−	0.419145i
$65$	−2.80772	+	0.403690i	−0.348255	+	0.0500715i
$66$	4.71351	+	1.76172i	0.580193	+	0.216853i
$67$	−7.73898	+	8.93126i	−0.945467	+	1.09113i	0.0502562	+	0.998736i	$0.483996\pi$
$67$	−7.73898	+	8.93126i	−0.945467	+	1.09113i	−0.995723	+	0.0923903i	$0.970549\pi$
$68$	7.69048	+	2.26956i	0.932608	+	0.275225i
$69$	−3.97069	−	2.68953i	−0.478015	−	0.323782i
$70$	−8.99562	−	12.0339i	−1.07518	−	1.43833i
$71$	3.30433	+	2.86322i	0.392152	+	0.339802i	0.828513	−	0.559970i	$-0.189187\pi$
$71$	3.30433	+	2.86322i	0.392152	+	0.339802i	−0.436361	+	0.899772i	$0.643733\pi$
$72$	−2.26079	−	1.69966i	−0.266437	−	0.200306i
$73$	−0.0910248	−	0.633092i	−0.0106537	−	0.0740978i	0.983801	−	0.179264i	$-0.0573716\pi$
$73$	−0.0910248	−	0.633092i	−0.0106537	−	0.0740978i	−0.994455	+	0.105166i	$0.966463\pi$
$74$	−4.90396	+	8.96634i	−0.570074	+	1.04232i
$75$	−0.222292	−	0.0319607i	−0.0256680	−	0.00369050i
$76$	−0.0118994	+	8.69658i	−0.00136495	+	0.997566i
$77$	−14.5523	−	9.35218i	−1.65839	−	1.06578i
$78$	1.79403	−	0.388983i	0.203134	−	0.0440437i
$79$	3.48038	+	1.02193i	0.391573	+	0.114976i	0.471592	−	0.881817i	$-0.343680\pi$
$79$	3.48038	+	1.02193i	0.391573	+	0.114976i	−0.0800183	+	0.996793i	$0.525498\pi$
$80$	−8.65550	+	1.22031i	−0.967714	+	0.136434i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	16.3380	−	6.08102i	1.80423	−	0.671536i
$83$	2.11994	−	4.64203i	0.232694	−	0.509528i	−0.756880	−	0.653554i	$-0.773277\pi$
$83$	2.11994	−	4.64203i	0.232694	−	0.509528i	0.989574	+	0.144025i	$0.0460046\pi$
$84$	6.35728	+	7.35701i	0.693637	+	0.802716i
$85$	8.40629	−	2.46831i	0.911790	−	0.267726i
$86$	−4.81738	−	8.83675i	−0.519472	−	0.952891i
$87$	−5.24583	+	2.39569i	−0.562412	+	0.256845i
$88$	−8.84282	+	4.80501i	−0.942648	+	0.512216i
$89$	−2.01147	−	3.12990i	−0.213215	−	0.331769i	0.718129	−	0.695910i	$-0.244999\pi$
$89$	−2.01147	−	3.12990i	−0.213215	−	0.331769i	−0.931344	+	0.364141i	$0.881363\pi$
$90$	−3.08242	−	0.222579i	−0.324915	−	0.0234618i
$91$	−6.31060			−0.661531
$92$	9.26911	−	2.46648i	0.966372	−	0.257149i
$93$	6.80990			0.706154
$94$	1.75526	+	0.126745i	0.181041	+	0.0130728i
$95$	5.13728	+	7.99377i	0.527074	+	0.820144i
$96$	5.53166	−	1.18354i	0.564573	−	0.120794i
$97$	6.15382	−	2.81035i	0.624825	−	0.285348i	−0.0777332	−	0.996974i	$-0.524768\pi$
$97$	6.15382	−	2.81035i	0.624825	−	0.285348i	0.702558	+	0.711626i	$0.252041\pi$
$98$	−11.2605	−	20.6557i	−1.13749	−	2.08654i
$99$	−3.41402	+	1.00245i	−0.343122	+	0.100750i
$100$	0.339851	−	0.293669i	0.0339851	−	0.0293669i
$101$	1.88634	−	4.13051i	0.187698	−	0.411002i	−0.792266	−	0.610176i	$-0.791099\pi$
$101$	1.88634	−	4.13051i	0.187698	−	0.411002i	0.979964	+	0.199174i	$0.0638260\pi$
$102$	−5.31372	+	1.97777i	−0.526137	+	0.195829i
$103$	9.14322	+	10.5518i	0.900908	+	1.03970i	0.999008	+	0.0445267i	$0.0141780\pi$
$103$	9.14322	+	10.5518i	0.900908	+	1.03970i	−0.0981002	+	0.995177i	$0.531277\pi$
$104$	−1.76614	+	3.21873i	−0.173185	+	0.315622i
$105$	10.1936	+	2.99311i	0.994792	+	0.292097i
$106$	−2.04427	+	0.443240i	−0.198557	+	0.0430512i
$107$	−0.296668	−	0.190657i	−0.0286800	−	0.0184315i	0.526222	−	0.850347i	$-0.323608\pi$
$107$	−0.296668	−	0.190657i	−0.0286800	−	0.0184315i	−0.554902	+	0.831916i	$0.687244\pi$
$108$	2.00000	+	0.00273656i	0.192450	+	0.000263326i
$109$	−7.81895	−	1.12419i	−0.748919	−	0.107678i	−0.242722	−	0.970096i	$-0.578040\pi$
$109$	−7.81895	−	1.12419i	−0.748919	−	0.107678i	−0.506197	+	0.862418i	$0.668949\pi$
$110$	−5.27655	+	9.64759i	−0.503099	+	0.919861i
$111$	−1.02844	−	7.15293i	−0.0976148	−	0.678926i
$112$	−19.4463	−	0.0532163i	−1.83751	−	0.00502846i
$113$	5.81113	+	5.03538i	0.546666	+	0.473688i	0.883863	−	0.467745i	$-0.154934\pi$
$113$	5.81113	+	5.03538i	0.546666	+	0.473688i	−0.337198	+	0.941434i	$0.609479\pi$
$114$	−3.68184	−	4.92538i	−0.344836	−	0.461304i
$115$	7.05242	−	7.75230i	0.657641	−	0.722906i
$116$	3.26463	−	11.0623i	0.303113	−	1.02711i
$117$	−0.850042	+	0.981001i	−0.0785864	+	0.0906936i
$118$	7.54880	+	2.82144i	0.694923	+	0.259735i
$119$	19.2927	−	2.77387i	1.76856	−	0.254280i
$120$	4.37951	−	4.36157i	0.399793	−	0.398155i
$121$	−0.236306	+	1.64354i	−0.0214823	+	0.149413i
$122$	11.6369	+	8.72369i	1.05355	+	0.789806i
$123$	−6.66446	+	10.3701i	−0.600914	+	0.935041i
$124$	−8.93315	+	10.2809i	−0.802220	+	0.923256i
$125$	3.21658	−	10.9547i	0.287699	−	0.979815i
$126$	−6.71722	−	1.46606i	−0.598417	−	0.130607i
$127$	−7.27697	+	6.30553i	−0.645727	+	0.559525i	−0.914957	−	0.403550i	$-0.867776\pi$
$127$	−7.27697	+	6.30553i	−0.645727	+	0.559525i	0.269231	+	0.963076i	$0.413231\pi$
$128$	−5.46957	+	9.90372i	−0.483447	+	0.875374i
$129$	6.47359	+	2.95639i	0.569968	+	0.260296i
$130$	0.283443	+	4.00153i	0.0248596	+	0.350957i
$131$	−0.181354	−	0.617634i	−0.0158450	−	0.0539630i	0.951191	−	0.308603i	$-0.0998613\pi$
$131$	−0.181354	−	0.617634i	−0.0158450	−	0.0539630i	−0.967036	+	0.254640i	$0.918043\pi$
$132$	2.96507	−	6.46917i	0.258077	−	0.563069i
$133$	8.78174	+	19.2293i	0.761473	+	1.66739i
$134$	11.8097	+	11.8258i	1.02020	+	1.02160i
$135$	1.83837	−	1.18145i	0.158222	−	0.101683i
$136$	3.98462	−	10.6166i	0.341678	−	0.910364i
$137$			13.8017i			1.17916i	0.807709	+	0.589581i	$0.200707\pi$
$137$			13.8017i			1.17916i	−0.807709	+	0.589581i	$0.799293\pi$
$138$	−4.19813	+	5.32689i	−0.357368	+	0.453455i
$139$			9.70102i			0.822830i	0.911448	+	0.411415i	$0.134965\pi$
$139$			9.70102i			0.822830i	−0.911448	+	0.411415i	$0.865035\pi$
$140$	−17.8905	+	11.4630i	−1.51203	+	0.968800i
$141$	−1.04684	+	0.672766i	−0.0881601	+	0.0566571i
$142$	4.37525	−	4.36927i	0.367163	−	0.366661i
$143$	1.91866	+	4.20128i	0.160446	+	0.351329i
$144$	−2.62771	+	3.01582i	−0.218975	+	0.251318i
$145$	−3.55051	−	12.0919i	−0.294854	−	1.00418i
$146$	−0.902273	+	0.0639114i	−0.0746726	+	0.00528935i
$147$	15.1319	+	6.91050i	1.24806	+	0.569969i
$148$	12.1479	+	7.83049i	0.998552	+	0.643662i
$149$	−5.09395	+	4.41393i	−0.417312	+	0.361603i	−0.838063	−	0.545573i	$-0.816312\pi$
$149$	−5.09395	+	4.41393i	−0.417312	+	0.361603i	0.420751	+	0.907176i	$0.361767\pi$
$150$	−0.0677232	+	0.310296i	−0.00552957	+	0.0253356i
$151$	−2.27095	+	7.73416i	−0.184808	+	0.629397i	0.814013	+	0.580846i	$0.197278\pi$
$151$	−2.27095	+	7.73416i	−0.184808	+	0.629397i	−0.998821	+	0.0485504i	$0.984540\pi$
$152$	12.2657	+	0.902565i	0.994877	+	0.0732077i
$153$	2.16753	−	3.37274i	0.175235	−	0.272670i
$154$	−14.6738	+	19.5740i	−1.18245	+	1.57732i
$155$	−2.11786	+	14.7300i	−0.170110	+	1.18314i
$156$	−0.365947	−	2.57018i	−0.0292992	−	0.205779i
$157$	2.55552	−	0.367429i	0.203953	−	0.0293240i	−0.0395811	−	0.999216i	$-0.512602\pi$
$157$	2.55552	−	0.367429i	0.203953	−	0.0293240i	0.243534	+	0.969892i	$0.421693\pi$
$158$	1.79597	−	4.80513i	0.142879	−	0.382276i
$159$	0.968609	−	1.11783i	0.0768157	−	0.0886500i
$160$	0.839696	+	12.3332i	0.0663838	+	0.975027i
$161$	17.9843	−	14.8382i	1.41736	−	1.16942i
$162$	−1.13272	+	0.846732i	−0.0889946	+	0.0665255i
$163$	−14.3679	−	12.4499i	−1.12538	−	0.975149i	−0.125525	−	0.992090i	$-0.540062\pi$
$163$	−14.3679	−	12.4499i	−1.12538	−	0.975149i	−0.999856	+	0.0169415i	$0.994607\pi$
$164$	−6.91344	−	23.6648i	−0.539849	−	1.84791i
$165$	−1.10657	−	7.69639i	−0.0861467	−	0.599163i
$166$	−6.33184	−	3.46307i	−0.491446	−	0.268787i
$167$	−0.293616	−	0.0422157i	−0.0227207	−	0.00326675i	0.130945	−	0.991390i	$-0.458199\pi$
$167$	−0.293616	−	0.0422157i	−0.0227207	−	0.00326675i	−0.153666	+	0.988123i	$0.549108\pi$
$168$	11.0249	−	8.21787i	0.850588	−	0.634022i
$169$	−9.51884	−	6.11739i	−0.732218	−	0.470568i
$170$	−2.62544	−	12.1088i	−0.201362	−	0.928704i
$171$	4.17216	+	1.22506i	0.319053	+	0.0936824i
$172$	−12.9553	+	5.89506i	−0.987829	+	0.449494i
$173$	10.3357	+	11.9280i	0.785806	+	0.906869i	0.997514	−	0.0704641i	$-0.0224480\pi$
$173$	10.3357	+	11.9280i	0.785806	+	0.906869i	−0.211708	+	0.977333i	$0.567903\pi$
$174$	2.84491	+	7.64346i	0.215672	+	0.579449i
$175$	0.453553	−	0.993142i	0.0342854	−	0.0750745i
$176$	5.87699	+	12.9626i	0.442995	+	0.977090i
$177$	−5.46763	+	1.60544i	−0.410972	+	0.120672i
$178$	−4.61973	+	2.51846i	−0.346264	+	0.188767i
$179$	−6.91533	+	3.15812i	−0.516876	+	0.236049i	−0.656734	−	0.754122i	$-0.728063\pi$
$179$	−6.91533	+	3.15812i	−0.516876	+	0.236049i	0.139858	+	0.990172i	$0.455335\pi$
$180$	−0.627913	+	4.32521i	−0.0468018	+	0.322382i
$181$	0.959915	+	1.49366i	0.0713499	+	0.111023i	0.875095	−	0.483951i	$-0.160799\pi$
$181$	0.959915	+	1.49366i	0.0713499	+	0.111023i	−0.803745	+	0.594974i	$0.797162\pi$
$182$	−0.642759	+	8.90136i	−0.0476445	+	0.659813i
$183$	−10.2840			−0.760212
$184$	−2.53498	−	13.3257i	−0.186881	−	0.982383i
$185$	15.7918			1.16104
$186$	0.693615	−	9.60564i	0.0508583	−	0.704320i
$187$	−7.71241	−	12.0007i	−0.563987	−	0.877581i
$188$	0.357559	−	2.46295i	0.0260777	−	0.179629i
$189$	4.42227	−	2.01958i	0.321673	−	0.146903i
$190$	11.7988	−	6.43215i	0.855974	−	0.466637i
$191$	−14.8994	+	4.37487i	−1.07809	+	0.316554i	−0.772112	−	0.635486i	$-0.780800\pi$
$191$	−14.8994	+	4.37487i	−1.07809	+	0.316554i	−0.305973	+	0.952040i	$0.598982\pi$
$192$	−1.10600	−	7.92318i	−0.0798190	−	0.571806i
$193$	5.71297	−	12.5096i	0.411228	−	0.900464i	−0.584779	−	0.811193i	$-0.698819\pi$
$193$	5.71297	−	12.5096i	0.411228	−	0.900464i	0.996007	−	0.0892717i	$-0.0284539\pi$
$194$	−3.33733	−	8.96645i	−0.239606	−	0.643754i
$195$	−1.85757	−	2.14376i	−0.133024	−	0.153518i
$196$	−30.2827	+	13.7796i	−2.16305	+	0.984256i
$197$	2.17278	+	0.637984i	0.154804	+	0.0454545i	0.358216	−	0.933639i	$-0.383385\pi$
$197$	2.17278	+	0.637984i	0.154804	+	0.0454545i	−0.203412	+	0.979093i	$0.565203\pi$
$198$	1.06626	+	4.91772i	0.0757759	+	0.349487i
$199$	21.9401	+	14.1000i	1.55529	+	0.999524i	0.983874	+	0.178864i	$0.0572422\pi$
$199$	21.9401	+	14.1000i	1.55529	+	0.999524i	0.571416	+	0.820660i	$0.306394\pi$
$200$	−0.379617	−	0.509285i	−0.0268430	−	0.0360119i
$201$	−11.6975	−	1.68184i	−0.825075	−	0.118628i
$202$	−5.63413	−	3.08147i	−0.396416	−	0.216812i
$203$	−3.99004	−	27.7514i	−0.280046	−	1.94776i
$204$	2.24851	+	7.69666i	0.157427	+	0.538874i
$205$	−20.3582	−	17.6405i	−1.42188	−	1.23207i
$206$	15.8151	−	11.8221i	1.10189	−	0.823687i
$207$	0.115859	−	4.79443i	0.00805276	−	0.333236i
$208$	4.36026	+	2.81906i	0.302330	+	0.195467i
$209$	10.1319	−	11.6929i	0.700840	−	0.808813i
$210$	5.26016	−	14.0736i	0.362985	−	0.971172i
$211$	−1.04451	+	0.150178i	−0.0719073	+	0.0103387i	−0.178175	−	0.983999i	$-0.557019\pi$
$211$	−1.04451	+	0.150178i	−0.0719073	+	0.0103387i	0.106267	+	0.994338i	$0.466110\pi$
$212$	0.416991	+	2.92868i	0.0286390	+	0.201142i
$213$	−0.622238	+	4.32776i	−0.0426350	+	0.296533i
$214$	−0.299146	+	0.399043i	−0.0204492	+	0.0272780i
$215$	−8.40803	+	13.0832i	−0.573423	+	0.892263i
$216$	0.207568	−	2.82080i	0.0141232	−	0.191931i
$217$	−9.32732	+	31.7659i	−0.633180	+	2.15641i
$218$	−2.38211	+	10.9144i	−0.161337	+	0.739219i
$219$	0.483379	−	0.418850i	0.0326637	−	0.0283033i
$220$	13.0709	+	8.42544i	0.881238	+	0.568043i
$221$	−4.73384	−	2.16187i	−0.318433	−	0.145423i
$222$	−10.1942	+	0.722097i	−0.684193	+	0.0484640i
$223$	−3.52775	−	12.0144i	−0.236236	−	0.804545i	−0.989211	−	0.146496i	$-0.953200\pi$
$223$	−3.52775	−	12.0144i	−0.236236	−	0.804545i	0.752976	−	0.658049i	$-0.228618\pi$
$224$	−2.05575	+	27.4244i	−0.137355	+	1.83237i
$225$	−0.0932929	−	0.204283i	−0.00621952	−	0.0136189i
$226$	7.69449	−	7.68397i	0.511830	−	0.511130i
$227$	3.84031	−	2.46802i	0.254890	−	0.163808i	−0.406956	−	0.913448i	$-0.633410\pi$
$227$	3.84031	−	2.46802i	0.254890	−	0.163808i	0.661846	+	0.749640i	$0.269773\pi$
$228$	−7.32246	+	4.69172i	−0.484942	+	0.310716i
$229$		−	14.2639i		−	0.942586i	−0.881977	−	0.471293i	$-0.843787\pi$
$229$		−	14.2639i		−	0.942586i	0.881977	−	0.471293i	$-0.156213\pi$
$230$	−10.2166	−	10.7373i	−0.673664	−	0.707998i
$231$		−	17.2983i		−	1.13815i
$232$	−15.2713	−	5.73163i	−1.00261	−	0.376300i
$233$	−24.5271	+	15.7626i	−1.60682	+	1.03264i	−0.643086	+	0.765794i	$0.722346\pi$
$233$	−24.5271	+	15.7626i	−1.60682	+	1.03264i	−0.963738	+	0.266849i	$0.914018\pi$
$234$	1.29716	+	1.29894i	0.0847981	+	0.0849142i
$235$	−1.12965	−	2.47358i	−0.0736901	−	0.161359i
$236$	4.74863	−	10.3605i	0.309110	−	0.674412i
$237$	1.02193	+	3.48038i	0.0663816	+	0.226075i
$238$	−1.94762	−	27.4957i	−0.126246	−	1.78228i
$239$	−4.11030	−	1.87711i	−0.265873	−	0.121420i	0.278018	−	0.960576i	$-0.410322\pi$
$239$	−4.11030	−	1.87711i	−0.265873	−	0.121420i	−0.543892	+	0.839155i	$0.683050\pi$
$240$	−5.70610	−	6.62172i	−0.368327	−	0.427430i
$241$	−14.8207	+	12.8422i	−0.954687	+	0.827241i	−0.985045	−	0.172298i	$-0.944881\pi$
$241$	−14.8207	+	12.8422i	−0.954687	+	0.827241i	0.0303581	+	0.999539i	$0.490335\pi$
$242$	2.29421	+	0.500720i	0.147478	+	0.0321875i
$243$	0.281733	−	0.959493i	0.0180732	−	0.0615515i
$244$	13.4904	−	15.5258i	0.863633	−	0.993934i
$245$	−19.6536	+	30.5816i	−1.25562	+	1.95379i
$246$	13.9487	+	10.4567i	0.889334	+	0.666697i
$247$	0.803268	−	5.58685i	0.0511107	−	0.355483i
$248$	13.5918	+	13.6477i	0.863081	+	0.866631i
$249$	5.05125	−	0.726260i	0.320110	−	0.0460248i
$250$	−15.1244	−	5.65289i	−0.956549	−	0.357520i
$251$	3.88343	−	4.48172i	0.245120	−	0.282884i	−0.619836	−	0.784732i	$-0.712801\pi$
$251$	3.88343	−	4.48172i	0.245120	−	0.282884i	0.864956	+	0.501848i	$0.167346\pi$
$252$	−2.75211	+	9.32559i	−0.173366	+	0.587457i
$253$	−15.3464	−	7.46169i	−0.964823	−	0.469112i
$254$	8.15302	+	10.9067i	0.511566	+	0.684348i
$255$	6.62126	+	5.73735i	0.414639	+	0.359287i
$256$	13.4125	+	8.72379i	0.838282	+	0.545237i
$257$	0.416025	+	2.89352i	0.0259509	+	0.180493i	0.998674	−	0.0514758i	$-0.0163925\pi$
$257$	0.416025	+	2.89352i	0.0259509	+	0.180493i	−0.972723	+	0.231968i	$0.925483\pi$
$258$	4.82947	−	8.83015i	0.300670	−	0.549741i
$259$	34.7747	+	4.99985i	2.16079	+	0.310675i
$260$	5.67318	+	0.00776252i	0.351836	+	0.000481411i
$261$	−4.85149	−	3.11786i	−0.300300	−	0.192991i
$262$	−0.889670	+	0.192899i	−0.0549640	+	0.0119173i
$263$	0.307580	+	0.0903137i	0.0189662	+	0.00556898i	0.291202	−	0.956662i	$-0.405945\pi$
$263$	0.307580	+	0.0903137i	0.0189662	+	0.00556898i	−0.272236	+	0.962231i	$0.587763\pi$
$264$	−8.82302	−	4.84127i	−0.543019	−	0.297959i
$265$	2.11668	+	2.44277i	0.130026	+	0.150058i
$266$	28.0182	−	10.4284i	1.71791	−	0.639407i
$267$	1.54556	−	3.38431i	0.0945868	−	0.207116i
$268$	17.8837	−	15.4535i	1.09242	−	0.943973i
$269$	9.18479	−	2.69690i	0.560007	−	0.164433i	0.0105341	−	0.999945i	$-0.496647\pi$
$269$	9.18479	−	2.69690i	0.560007	−	0.164433i	0.549473	+	0.835512i	$0.314829\pi$
$270$	−1.47924	−	2.71343i	−0.0900234	−	0.165134i
$271$	22.9216	−	10.4680i	1.39239	−	0.635884i	0.428833	−	0.903384i	$-0.358925\pi$
$271$	22.9216	−	10.4680i	1.39239	−	0.635884i	0.963558	+	0.267500i	$0.0861976\pi$
$272$	−14.5693	−	6.70180i	−0.883391	−	0.406357i
$273$	−3.41177	−	5.30882i	−0.206490	−	0.321304i
$274$	19.4679	+	1.40576i	1.17610	+	0.0849251i
$275$	−0.799081			−0.0481864
$276$	7.08620	+	6.46419i	0.426539	+	0.389099i
$277$	4.67285			0.280764			0.140382	−	0.990097i	$-0.455167\pi$
$277$	4.67285			0.280764			0.140382	+	0.990097i	$0.455167\pi$
$278$	13.6837	+	0.988086i	0.820693	+	0.0592615i
$279$	3.68171	+	5.72885i	0.220418	+	0.342977i
$280$	14.3468	+	26.4029i	0.857385	+	1.57787i
$281$	29.2208	−	13.3447i	1.74317	−	0.796077i	0.752692	−	0.658372i	$-0.228755\pi$
$281$	29.2208	−	13.3447i	1.74317	−	0.796077i	0.990473	−	0.137705i	$-0.0439725\pi$
$282$	0.842338	+	1.54514i	0.0501605	+	0.0920117i
$283$	−11.8074	+	3.46696i	−0.701876	+	0.206089i	−0.613150	−	0.789967i	$-0.710098\pi$
$283$	−11.8074	+	3.46696i	−0.701876	+	0.206089i	−0.0887262	+	0.996056i	$0.528280\pi$
$284$	−5.71740	−	6.61650i	−0.339265	−	0.392617i
$285$	−3.94736	+	8.64352i	−0.233822	+	0.511998i
$286$	6.12150	−	2.27843i	0.361972	−	0.134727i
$287$	−39.2450	−	45.2912i	−2.31656	−	2.67345i
$288$	3.98629	+	4.01366i	0.234895	+	0.236507i
$289$	−0.888873	−	0.260997i	−0.0522867	−	0.0153527i
$290$	−17.4178	+	3.77653i	−1.02281	+	0.221766i
$291$	5.69122	+	3.65753i	0.333625	+	0.214408i
$292$	−0.00175031	+	1.27920i	−0.000102429	+	0.0748597i
$293$	−28.8338	−	4.14568i	−1.68449	−	0.242193i	−0.767484	−	0.641068i	$-0.778492\pi$
$293$	−28.8338	−	4.14568i	−1.68449	−	0.242193i	−0.917005	+	0.398875i	$0.869401\pi$
$294$	11.2888	−	20.6403i	0.658375	−	1.20377i
$295$	−1.77220	−	12.3259i	−0.103182	−	0.717644i
$296$	12.2825	−	16.3376i	0.713908	−	0.949601i
$297$	−2.68907	−	2.33009i	−0.156036	−	0.135206i
$298$	5.70719	+	7.63479i	0.330609	+	0.442272i
$299$	−6.18147	+	0.736824i	−0.357484	+	0.0426116i
$300$	0.430788	+	0.127131i	0.0248715	+	0.00733992i
$301$	−22.6573	+	26.1479i	−1.30594	+	1.50714i
$302$	10.6780	+	3.99103i	0.614452	+	0.229658i
$303$	4.49464	−	0.646232i	0.258211	−	0.0371251i
$304$	2.52241	−	17.2093i	0.144670	−	0.987021i
$305$	3.19828	−	22.2445i	0.183133	−	1.27372i
$306$	−4.53662	−	3.40092i	−0.259341	−	0.194418i
$307$	−2.22455	+	3.46146i	−0.126962	+	0.197556i	−0.898915	−	0.438123i	$-0.855643\pi$
$307$	−2.22455	+	3.46146i	−0.126962	+	0.197556i	0.771953	+	0.635679i	$0.219280\pi$
$308$	26.1154	+	22.6917i	1.48806	+	1.29298i
$309$	−3.93357	+	13.3965i	−0.223773	+	0.762101i
$310$	20.5616	+	4.48763i	1.16782	+	0.254880i
$311$	12.1082	−	10.4918i	0.686594	−	0.594937i	−0.240102	−	0.970748i	$-0.577181\pi$
$311$	12.1082	−	10.4918i	0.686594	−	0.594937i	0.926697	+	0.375810i	$0.122636\pi$
$312$	−3.66262	+	0.254401i	−0.207355	+	0.0144026i
$313$	22.9230	+	10.4686i	1.29568	+	0.591719i	0.939453	−	0.342679i	$-0.111334\pi$
$313$	22.9230	+	10.4686i	1.29568	+	0.591719i	0.356231	+	0.934398i	$0.384062\pi$
$314$	−0.257983	−	3.64209i	−0.0145588	−	0.205535i
$315$	2.99311	+	10.1936i	0.168643	+	0.574344i
$316$	−6.59491	−	3.02271i	−0.370992	−	0.170040i
$317$	−10.2526	−	22.4501i	−0.575845	−	1.26093i	−0.943626	−	0.331013i	$-0.892610\pi$
$317$	−10.2526	−	22.4501i	−0.575845	−	1.26093i	0.367781	−	0.929912i	$-0.380118\pi$
$318$	−1.47809	−	1.48012i	−0.0828874	−	0.0830009i
$319$	−17.2623	+	11.0938i	−0.966505	+	0.621135i
$320$	17.4820	+	0.0717615i	0.977276	+	0.00401159i
$321$		−	0.352650i		−	0.0196830i
$322$	−19.0981	−	26.8790i	−1.06430	−	1.49791i
$323$			17.4331i			0.970005i
$324$	1.07898	+	1.68398i	0.0599432	+	0.0935547i
$325$	−0.245236	+	0.157604i	−0.0136033	+	0.00874228i
$326$	−19.0245	+	18.9985i	−1.05367	+	1.05223i
$327$	−3.28151	−	7.18550i	−0.181468	−	0.397359i
$328$	−34.0843	+	7.34135i	−1.88199	+	0.405358i
$329$	−1.70440	−	5.80465i	−0.0939666	−	0.320021i
$330$	−10.9688	+	0.776961i	−0.603812	+	0.0427703i
$331$	−14.8069	−	6.76210i	−0.813863	−	0.371679i	−0.0354032	−	0.999373i	$-0.511272\pi$
$331$	−14.8069	−	6.76210i	−0.813863	−	0.371679i	−0.778460	+	0.627694i	$0.783999\pi$
$332$	−5.52973	+	8.57860i	−0.303483	+	0.470812i
$333$	5.46141	−	4.73234i	0.299283	−	0.259331i
$334$	−0.0894529	+	0.409858i	−0.00489464	+	0.0224264i
$335$	7.27575	−	24.7789i	0.397517	−	1.35382i
$336$	−10.4687	−	16.3881i	−0.571115	−	0.894043i
$337$	−5.29794	+	8.24376i	−0.288597	+	0.449066i	−0.955034	−	0.296495i	$-0.904182\pi$
$337$	−5.29794	+	8.24376i	−0.288597	+	0.449066i	0.666437	+	0.745561i	$0.267819\pi$
$338$	−9.59835	+	12.8036i	−0.522082	+	0.696426i
$339$	−1.09429	+	7.61097i	−0.0594338	+	0.413371i
$340$	−17.3474	+	2.46996i	−0.940795	+	0.133952i
$341$	23.9840	−	3.44838i	1.29881	−	0.186740i
$342$	2.15294	−	5.76022i	0.116418	−	0.311477i
$343$	−30.6752	+	35.4011i	−1.65631	+	1.91148i
$344$	6.99568	+	18.8744i	0.377182	+	1.01764i
$345$	10.3345	+	1.74166i	0.556389	+	0.0937678i
$346$	17.8777	−	13.3640i	0.961109	−	0.718452i
$347$	21.6036	+	18.7196i	1.15974	+	1.00492i	0.999842	+	0.0177902i	$0.00566310\pi$
$347$	21.6036	+	18.7196i	1.15974	+	1.00492i	0.159901	+	0.987133i	$0.448882\pi$
$348$	11.0712	−	3.23434i	0.593478	−	0.173379i
$349$	2.02738	+	14.1007i	0.108523	+	0.754794i	0.969312	+	0.245832i	$0.0790613\pi$
$349$	2.02738	+	14.1007i	0.108523	+	0.754794i	−0.860789	+	0.508961i	$0.830030\pi$
$350$	−1.35467	−	0.740910i	−0.0724102	−	0.0396033i
$351$	−1.28484	−	0.184732i	−0.0685796	−	0.00986025i
$352$	18.8828	−	6.96944i	1.00646	−	0.371473i
$353$	−17.6425	−	11.3382i	−0.939017	−	0.603470i	−0.0209014	−	0.999782i	$-0.506654\pi$
$353$	−17.6425	−	11.3382i	−0.939017	−	0.603470i	−0.918116	+	0.396312i	$0.870290\pi$
$354$	1.70764	+	7.87584i	0.0907601	+	0.418596i
$355$	−9.16756	−	2.69184i	−0.486564	−	0.142868i
$356$	3.08186	+	6.77284i	0.163338	+	0.358960i
$357$	12.7639	+	14.7304i	0.675540	+	0.779614i
$358$	3.75031	+	10.0760i	0.198210	+	0.532534i
$359$	0.557281	−	1.22028i	0.0294122	−	0.0644037i	−0.894356	−	0.447356i	$-0.852366\pi$
$359$	0.557281	−	1.22028i	0.0294122	−	0.0644037i	0.923768	+	0.382953i	$0.125093\pi$
$360$	6.03693	+	1.32624i	0.318174	+	0.0698987i
$361$	0.0886028	−	0.0260161i	0.00466331	−	0.00136927i
$362$	2.20463	−	1.20186i	0.115873	−	0.0631686i
$363$	−1.51039	+	0.689772i	−0.0792750	+	0.0362037i
$364$	12.4903	+	1.81328i	0.654668	+	0.0950415i
$365$	0.755656	+	1.17582i	0.0395529	+	0.0615455i
$366$	−1.04746	+	14.5059i	−0.0547517	+	0.758238i
$367$	22.6640			1.18305			0.591527	−	0.806285i	$-0.298525\pi$
$367$	22.6640			1.18305			0.591527	+	0.806285i	$0.298525\pi$
$368$	−19.0546	+	2.21842i	−0.993291	+	0.115643i
$369$	−12.3270			−0.641716
$370$	1.60846	−	22.2750i	0.0836199	−	1.15802i
$371$	3.88765	+	6.04931i	0.201837	+	0.314064i
$372$	−13.4785	−	1.95674i	−0.698828	−	0.101452i
$373$	−6.32217	+	2.88724i	−0.327349	+	0.149495i	−0.572309	−	0.820038i	$-0.693952\pi$
$373$	−6.32217	+	2.88724i	−0.327349	+	0.149495i	0.244960	+	0.969533i	$0.421225\pi$
$374$	−17.7131	+	9.65634i	−0.915921	+	0.499318i
$375$	10.9547	−	3.21658i	0.565696	−	0.166103i
$376$	−3.43768	−	0.755213i	−0.177285	−	0.0389472i
$377$	−3.10972	+	6.80934i	−0.160159	+	0.350699i
$378$	−2.39828	−	6.44349i	−0.123354	−	0.331418i
$379$	3.16948	+	3.65777i	0.162805	+	0.187887i	0.831291	−	0.555838i	$-0.187603\pi$
$379$	3.16948	+	3.65777i	0.162805	+	0.187887i	−0.668485	+	0.743725i	$0.733057\pi$
$380$	−7.87106	−	17.2978i	−0.403777	−	0.887359i
$381$	−9.23878	−	2.71275i	−0.473317	−	0.138978i
$382$	4.65337	+	21.4619i	0.238087	+	1.09808i
$383$	−20.5546	−	13.2096i	−1.05029	−	0.674980i	−0.102779	−	0.994704i	$-0.532774\pi$
$383$	−20.5546	−	13.2096i	−1.05029	−	0.674980i	−0.947511	+	0.319724i	$0.896410\pi$
$384$	−11.2886	+	0.753059i	−0.576070	+	0.0384294i
$385$	37.4168	+	5.37972i	1.90694	+	0.274176i
$386$	−17.0635	−	9.33253i	−0.868509	−	0.475013i
$387$	1.01281	+	7.04428i	0.0514842	+	0.358081i
$388$	−12.9875	+	3.79417i	−0.659339	+	0.192620i
$389$	−14.6589	−	12.7020i	−0.743234	−	0.644016i	0.198605	−	0.980080i	$-0.436359\pi$
$389$	−14.6589	−	12.7020i	−0.743234	−	0.644016i	−0.941839	+	0.336064i	$0.890904\pi$
$390$	−3.21306	+	2.40184i	−0.162699	+	0.121622i
$391$	18.5740	−	4.96972i	0.939329	−	0.251329i
$392$	16.3523	+	44.1184i	0.825914	+	2.22832i
$393$	0.421540	−	0.486483i	0.0212639	−	0.0245398i
$394$	1.12121	−	2.99981i	0.0564857	−	0.151128i
$395$	−7.84599	+	1.12808i	−0.394774	+	0.0567600i
$396$	7.04525	−	1.00312i	0.354037	−	0.0504085i
$397$	4.59381	−	31.9507i	0.230557	−	1.60356i	−0.465149	−	0.885232i	$-0.653999\pi$
$397$	4.59381	−	31.9507i	0.230557	−	1.60356i	0.695706	−	0.718326i	$-0.255091\pi$
$398$	22.1233	−	29.5112i	1.10894	−	1.47926i
$399$	−11.4290	+	17.7838i	−0.572164	+	0.890305i
$400$	−0.757033	+	0.483593i	−0.0378516	+	0.0241797i
$401$	−6.91549	+	23.5520i	−0.345343	+	1.17613i	0.585488	+	0.810681i	$0.300903\pi$
$401$	−6.91549	+	23.5520i	−0.345343	+	1.17613i	−0.930831	+	0.365450i	$0.880915\pi$
$402$	−3.56374	+	16.3284i	−0.177743	+	0.814389i
$403$	6.68052	−	5.78870i	0.332780	−	0.288356i
$404$	−4.92040	+	7.63331i	−0.244799	+	0.379771i
$405$	1.98780	+	0.907796i	0.0987743	+	0.0451087i
$406$	−39.5508	+	2.80154i	−1.96288	+	0.139038i
$407$	−7.24417	−	24.6714i	−0.359080	−	1.22291i
$408$	11.0855	−	2.38768i	0.548813	−	0.118208i
$409$	−2.09372	−	4.58462i	−0.103528	−	0.226695i	0.850778	−	0.525525i	$-0.176131\pi$
$409$	−2.09372	−	4.58462i	−0.103528	−	0.226695i	−0.954306	+	0.298830i	$0.903404\pi$
$410$	−26.9562	+	26.9194i	−1.33127	+	1.32945i
$411$	−11.6108	+	7.46178i	−0.572716	+	0.368062i
$412$	−15.0648	−	23.5119i	−0.742189	−	1.15835i
$413$		−	27.7036i		−	1.36321i
$414$	−6.75094	−	0.651755i	−0.331791	−	0.0320320i
$415$			11.1519i			0.547424i
$416$	4.42051	−	5.86319i	0.216733	−	0.287467i
$417$	−8.16102	+	5.24477i	−0.399647	+	0.256837i
$418$	−15.4613	−	15.4825i	−0.756237	−	0.757272i
$419$	8.49411	+	18.5995i	0.414965	+	0.908646i	0.995531	+	0.0944329i	$0.0301038\pi$
$419$	8.49411	+	18.5995i	0.414965	+	0.908646i	−0.580567	+	0.814213i	$0.697169\pi$
$420$	−19.3156	−	8.85312i	−0.942507	−	0.431988i
$421$	2.90149	+	9.88156i	0.141410	+	0.481598i	0.999491	−	0.0319171i	$-0.0101613\pi$
$421$	2.90149	+	9.88156i	0.141410	+	0.481598i	−0.858081	+	0.513515i	$0.828343\pi$
$422$	0.105445	+	1.48863i	0.00513298	+	0.0724652i
$423$	−1.13193	−	0.516936i	−0.0550365	−	0.0251343i
$424$	4.17349	−	0.289885i	0.202683	−	0.0140781i
$425$	0.680457	−	0.589619i	0.0330070	−	0.0286007i
$426$	6.04110	+	1.31849i	0.292692	+	0.0638811i
$427$	14.0856	−	47.9713i	0.681652	−	2.32149i
$428$	0.532397	+	0.462602i	0.0257344	+	0.0223607i
$429$	−2.49704	+	3.88546i	−0.120558	+	0.187592i
$430$	17.5979	+	13.1924i	0.848647	+	0.636196i
$431$	−2.16681	+	15.0705i	−0.104371	+	0.725919i	0.868687	+	0.495361i	$0.164964\pi$
$431$	−2.16681	+	15.0705i	−0.104371	+	0.725919i	−0.973059	+	0.230558i	$0.925945\pi$
$432$	−3.95771	−	0.580092i	−0.190416	−	0.0279097i
$433$	24.8694	−	3.57568i	1.19515	−	0.171836i	0.484121	−	0.875001i	$-0.339140\pi$
$433$	24.8694	−	3.57568i	1.19515	−	0.171836i	0.711027	+	0.703165i	$0.248231\pi$
$434$	43.8571	+	16.3921i	2.10521	+	0.786844i
$435$	8.25283	−	9.52428i	0.395693	−	0.456654i
$436$	15.1526	+	4.47174i	0.725680	+	0.214158i
$437$	10.8472	+	17.8105i	0.518894	+	0.851991i
$438$	−0.541571	−	0.724487i	−0.0258773	−	0.0346173i
$439$	6.22747	+	5.39613i	0.297221	+	0.257543i	0.790685	−	0.612223i	$-0.209724\pi$
$439$	6.22747	+	5.39613i	0.297221	+	0.257543i	−0.493465	+	0.869766i	$0.664270\pi$
$440$	13.2157	−	17.5788i	0.630036	−	0.838039i
$441$	2.36743	+	16.4659i	0.112735	+	0.784088i
$442$	−3.53157	+	6.45708i	−0.167980	+	0.307132i
$443$	−28.2064	−	4.05547i	−1.34013	−	0.192681i	−0.565317	−	0.824874i	$-0.691246\pi$
$443$	−28.2064	−	4.05547i	−1.34013	−	0.192681i	−0.774811	+	0.632193i	$0.782155\pi$
$444$	−0.0197757	+	14.4530i	−0.000938514	+	0.685907i
$445$	6.83970	+	4.39561i	0.324233	+	0.208372i
$446$	−17.3061	+	3.75232i	−0.819470	+	0.177678i
$447$	−6.46723	−	1.89895i	−0.305889	−	0.0898172i
$448$	38.4739	+	5.69300i	1.81772	+	0.268969i
$449$	−7.90101	−	9.11825i	−0.372872	−	0.430317i	0.538039	−	0.842920i	$-0.319165\pi$
$449$	−7.90101	−	9.11825i	−0.372872	−	0.430317i	−0.910911	+	0.412603i	$0.864620\pi$
$450$	−0.297652	+	0.110786i	−0.0140314	+	0.00522252i
$451$	−18.2206	+	39.8976i	−0.857975	+	1.87870i
$452$	−10.0548	−	11.6360i	−0.472940	−	0.547313i
$453$	−7.73416	+	2.27095i	−0.363382	+	0.106699i
$454$	−3.09009	−	5.66829i	−0.145025	−	0.266026i
$455$	12.5442	−	5.72874i	0.588081	−	0.268567i
$456$	5.87204	+	10.8065i	0.274983	+	0.506061i
$457$	15.4191	+	23.9926i	0.721275	+	1.12233i	0.987378	+	0.158381i	$0.0506273\pi$
$457$	15.4191	+	23.9926i	0.721275	+	1.12233i	−0.266104	+	0.963944i	$0.585736\pi$
$458$	−20.1198	−	1.45284i	−0.940139	−	0.0678866i
$459$	4.00919			0.187133
$460$	−16.1860	+	13.3173i	−0.754678	+	0.620923i
$461$	−1.15061			−0.0535891			−0.0267945	−	0.999641i	$-0.508530\pi$
$461$	−1.15061			−0.0535891			−0.0267945	+	0.999641i	$0.508530\pi$
$462$	−24.4000	−	1.76190i	−1.13519	−	0.0819710i
$463$	22.4042	+	34.8616i	1.04121	+	1.62016i	0.747500	+	0.664262i	$0.231254\pi$
$463$	22.4042	+	34.8616i	1.04121	+	1.62016i	0.293711	+	0.955894i	$0.405110\pi$
$464$	−9.64014	+	20.9570i	−0.447532	+	0.972904i
$465$	−13.5367	+	6.18200i	−0.627749	+	0.286683i
$466$	19.7356	+	36.2020i	0.914235	+	1.67702i
$467$	−30.4924	+	8.95338i	−1.41102	+	0.414313i	−0.896454	−	0.443137i	$-0.853865\pi$
$467$	−30.4924	+	8.95338i	−1.41102	+	0.414313i	−0.514567	+	0.857450i	$0.672047\pi$
$468$	1.96433	−	1.69740i	0.0908010	−	0.0784622i
$469$	23.8669	−	52.2613i	1.10207	−	2.41320i
$470$	−3.60415	+	1.34147i	−0.166247	+	0.0618774i
$471$	1.69072	+	1.95119i	0.0779043	+	0.0899063i
$472$	−14.1303	−	7.75340i	−0.650398	−	0.356879i
$473$	24.2966	+	7.13413i	1.11716	+	0.328028i
$474$	5.01331	−	1.08699i	0.230269	−	0.0499269i
$475$	0.821508	+	0.527951i	0.0376934	+	0.0242241i
$476$	−38.9821	−	0.0533386i	−1.78674	−	0.00244477i
$477$	1.46405	+	0.210499i	0.0670343	+	0.00963808i
$478$	−3.06640	+	5.60656i	−0.140254	+	0.256438i
$479$	3.61765	+	25.1613i	0.165294	+	1.14965i	0.888454	+	0.458967i	$0.151780\pi$
$479$	3.61765	+	25.1613i	0.165294	+	1.14965i	−0.723159	+	0.690682i	$0.757311\pi$
$480$	−9.92140	+	7.37424i	−0.452848	+	0.336587i
$481$	−7.08918	−	6.14281i	−0.323239	−	0.280088i
$482$	16.6049	+	22.2133i	0.756334	+	1.01179i
$483$	22.2058	+	7.10724i	1.01040	+	0.323391i
$484$	0.939960	−	3.18508i	0.0427255	−	0.144776i
$485$	−9.68130	+	11.1728i	−0.439605	+	0.507331i
$486$	−1.32471	−	0.495123i	−0.0600900	−	0.0224593i
$487$	−13.1047	+	1.88417i	−0.593829	+	0.0853797i	−0.432676	−	0.901550i	$-0.642430\pi$
$487$	−13.1047	+	1.88417i	−0.593829	+	0.0853797i	−0.161153	+	0.986929i	$0.551521\pi$
$488$	−20.5257	−	20.6101i	−0.929153	−	0.932975i
$489$	2.70561	−	18.8180i	0.122352	−	0.850978i
$490$	41.1348	+	30.8371i	1.85828	+	1.39308i
$491$	−11.8790	+	18.4841i	−0.536091	+	0.834174i	−0.998625	−	0.0524278i	$-0.983304\pi$
$491$	−11.8790	+	18.4841i	−0.536091	+	0.834174i	0.462534	+	0.886602i	$0.346940\pi$
$492$	16.1704	−	18.6101i	0.729017	−	0.839008i
$493$	6.51391	−	22.1843i	0.293372	−	0.999132i
$494$	−7.79867	−	1.70208i	−0.350879	−	0.0765804i
$495$	5.87636	−	5.09189i	0.264123	−	0.228864i
$496$	20.6350	−	17.7817i	0.926541	−	0.798424i
$497$	−19.3353	−	8.83014i	−0.867307	−	0.396086i
$498$	−0.509930	−	7.19896i	−0.0228505	−	0.322593i
$499$	−10.1200	−	34.4654i	−0.453031	−	1.54288i	−0.797046	−	0.603919i	$-0.793605\pi$
$499$	−10.1200	−	34.4654i	−0.453031	−	1.54288i	0.344014	−	0.938964i	$-0.388213\pi$
$500$	−9.51411	+	20.7578i	−0.425484	+	0.928316i
$501$	−0.123227	−	0.269829i	−0.00550537	−	0.0120551i
$502$	−5.92611	−	5.93422i	−0.264495	−	0.264857i
$503$	10.2743	−	6.60288i	0.458107	−	0.294408i	−0.291161	−	0.956674i	$-0.594042\pi$
$503$	10.2743	−	6.60288i	0.458107	−	0.294408i	0.749269	+	0.662266i	$0.230405\pi$
$504$	12.8738	+	4.83181i	0.573445	+	0.215226i
$505$			9.92303i			0.441569i
$506$	−12.0881	+	20.8868i	−0.537382	+	0.928531i
$507$		−	11.3151i		−	0.502520i
$508$	16.2148	−	10.3893i	0.719414	−	0.460950i
$509$	15.9988	−	10.2818i	0.709133	−	0.455732i	−0.135708	−	0.990749i	$-0.543331\pi$
$509$	15.9988	−	10.2818i	0.709133	−	0.455732i	0.844841	+	0.535017i	$0.179695\pi$
$510$	8.76717	−	8.75518i	0.388217	−	0.387686i
$511$	1.29173	+	2.82849i	0.0571427	+	0.125125i
$512$	13.6714	−	18.0303i	0.604195	−	0.796836i
$513$	1.22506	+	4.17216i	0.0540875	+	0.184205i
$514$	4.12380	−	0.292104i	0.181893	−	0.0128842i
$515$	−27.7538	−	12.6747i	−1.22298	−	0.558515i
$516$	−11.9634	−	7.71155i	−0.526659	−	0.339482i
$517$	−3.34624	+	2.89954i	−0.147168	+	0.127521i
$518$	10.5944	−	48.5419i	0.465492	−	2.13281i
$519$	−4.44659	+	15.1437i	−0.195183	+	0.664734i
$520$	0.588785	−	8.00147i	0.0258199	−	0.350888i
$521$	2.91162	−	4.53057i	0.127560	−	0.198488i	−0.771599	−	0.636109i	$-0.780543\pi$
$521$	2.91162	−	4.53057i	0.127560	−	0.198488i	0.899159	+	0.437622i	$0.144179\pi$
$522$	−4.89202	+	6.52566i	−0.214118	+	0.285620i
$523$	1.59811	−	11.1151i	0.0698804	−	0.486029i	−0.924586	−	0.380974i	$-0.875589\pi$
$523$	1.59811	−	11.1151i	0.0698804	−	0.486029i	0.994466	−	0.105056i	$-0.0335020\pi$
$524$	0.181475	+	1.27456i	0.00792777	+	0.0556796i
$525$	1.08069	−	0.155380i	0.0471653	−	0.00678135i
$526$	0.158719	−	0.424656i	0.00692049	−	0.0185159i
$527$	−17.8791	+	20.6336i	−0.778827	+	0.898814i
$528$	−7.72746	+	11.9521i	−0.336295	+	0.520150i
$529$	15.8838	−	16.6344i	0.690601	−	0.723236i
$530$	3.66122	−	2.73685i	0.159033	−	0.118881i
$531$	−4.30661	−	3.73170i	−0.186891	−	0.161942i
$532$	−11.8560	−	40.5830i	−0.514021	−	1.75950i
$533$	2.27718	+	15.8382i	0.0986357	+	0.686026i
$534$	−4.61628	−	2.52478i	−0.199766	−	0.109258i
$535$	0.762792	+	0.109673i	0.0329784	+	0.00474158i
$536$	−19.9763	−	26.7997i	−0.862844	−	1.15757i
$537$	−6.39549	−	4.11013i	−0.275986	−	0.177365i
$538$	−2.86858	−	13.2302i	−0.123673	−	0.570395i
$539$	56.7928	+	16.6759i	2.44624	+	0.718281i
$540$	−3.97807	+	1.81015i	−0.171189	+	0.0778964i
$541$	15.3887	+	17.7595i	0.661611	+	0.763540i	0.983040	−	0.183394i	$-0.0587083\pi$
$541$	15.3887	+	17.7595i	0.661611	+	0.763540i	−0.321428	+	0.946934i	$0.604163\pi$
$542$	−12.4308	−	33.3981i	−0.533950	−	1.43457i
$543$	−0.737575	+	1.61506i	−0.0316524	+	0.0693090i
$544$	−10.9371	+	19.8679i	−0.468925	+	0.851831i
$545$	16.5630	−	4.86334i	0.709481	−	0.208322i
$546$	−7.83581	+	4.27172i	−0.335342	+	0.182813i
$547$	32.2879	−	14.7454i	1.38053	−	0.630468i	0.419716	−	0.907655i	$-0.362130\pi$
$547$	32.2879	−	14.7454i	1.38053	−	0.630468i	0.960816	+	0.277187i	$0.0894022\pi$
$548$	3.96576	−	27.3171i	0.169409	−	1.16693i
$549$	−5.55993	−	8.65142i	−0.237292	−	0.369234i
$550$	−0.0813895	+	1.12714i	−0.00347046	+	0.0480612i
$551$	25.0765			1.06829
$552$	9.83977	−	9.33697i	0.418808	−	0.397408i
$553$	−17.6345			−0.749897
$554$	0.475947	−	6.59124i	0.0202211	−	0.280035i
$555$	8.53772	+	13.2849i	0.362406	+	0.563914i
$556$	2.78747	−	19.2008i	0.118215	−	0.814293i
$557$	25.2905	−	11.5498i	1.07159	−	0.489379i	0.200093	−	0.979777i	$-0.435876\pi$
$557$	25.2905	−	11.5498i	1.07159	−	0.489379i	0.871499	+	0.490397i	$0.163148\pi$
$558$	8.45578	−	4.60970i	0.357962	−	0.195144i
$559$	8.86365	−	2.60260i	0.374893	−	0.110078i
$560$	38.7036	−	17.5475i	1.63553	−	0.741518i
$561$	5.92602	−	12.9762i	0.250197	−	0.547855i
$562$	−15.8470	−	42.5763i	−0.668464	−	1.79597i
$563$	15.8814	+	18.3281i	0.669320	+	0.772437i	0.984270	−	0.176672i	$-0.0565331\pi$
$563$	15.8814	+	18.3281i	0.669320	+	0.772437i	−0.314950	+	0.949108i	$0.601988\pi$
$564$	2.26528	−	1.03077i	0.0953854	−	0.0434034i
$565$	−16.1224	−	4.73397i	−0.678276	−	0.199160i
$566$	3.68766	+	17.0079i	0.155004	+	0.714896i
$567$	4.08984	+	2.62838i	0.171757	+	0.110382i
$568$	−9.91518	+	7.39071i	−0.416032	+	0.310107i
$569$	17.8392	+	2.56489i	0.747857	+	0.107526i	0.505698	−	0.862711i	$-0.331235\pi$
$569$	17.8392	+	2.56489i	0.747857	+	0.107526i	0.242160	+	0.970236i	$0.422144\pi$
$570$	11.7900	+	6.44829i	0.493828	+	0.270089i
$571$	−2.39197	−	16.6365i	−0.100101	−	0.696216i	−0.976639	−	0.214885i	$-0.931062\pi$
$571$	−2.39197	−	16.6365i	−0.100101	−	0.696216i	0.876539	−	0.481331i	$-0.159847\pi$
$572$	−2.59032	−	8.86669i	−0.108307	−	0.370735i
$573$	−11.7356	−	10.1690i	−0.490262	−	0.424815i
$574$	−67.8823	+	50.7436i	−2.83335	+	2.11800i
$575$	0.328313	−	1.02578i	0.0136916	−	0.0427778i
$576$	6.06745	−	5.21402i	0.252810	−	0.217251i
$577$	20.6813	−	23.8675i	0.860973	−	0.993616i	−0.139021	−	0.990289i	$-0.544396\pi$
$577$	20.6813	−	23.8675i	0.860973	−	0.993616i	0.999994	−	0.00332668i	$-0.00105892\pi$
$578$	−0.458682	+	1.22721i	−0.0190786	+	0.0510451i
$579$	13.6124	−	1.95717i	0.565714	−	0.0813374i
$580$	3.55288	+	24.9532i	0.147525	+	1.03612i
$581$	−3.53079	+	24.5572i	−0.146482	+	1.01880i
$582$	5.73876	−	7.65517i	0.237879	−	0.317317i
$583$	2.84533	−	4.42742i	0.117842	−	0.183365i
$584$	1.80419	+	0.132761i	0.0746579	+	0.00549367i
$585$	0.799161	−	2.72169i	0.0330412	−	0.112528i
$586$	−8.78448	+	40.2490i	−0.362884	+	1.66267i
$587$	19.3706	−	16.7847i	0.799511	−	0.692780i	−0.155993	−	0.987758i	$-0.549858\pi$
$587$	19.3706	−	16.7847i	0.799511	−	0.692780i	0.955504	+	0.294978i	$0.0953124\pi$
$588$	−27.9642	−	18.0256i	−1.15322	−	0.743363i
$589$	−26.9355	−	12.3010i	−1.10986	−	0.506855i
$590$	−17.5668	+	1.24432i	−0.723212	+	0.0512278i
$591$	0.637984	+	2.17278i	0.0262432	+	0.0893760i
$592$	−21.7938	−	18.9891i	−0.895718	−	0.780446i
$593$	0.389988	+	0.853955i	0.0160149	+	0.0350677i	0.917470	−	0.397804i	$-0.130228\pi$
$593$	0.389988	+	0.853955i	0.0160149	+	0.0350677i	−0.901456	+	0.432872i	$0.857500\pi$
$594$	−3.56058	+	3.55572i	−0.146093	+	0.145893i
$595$	−35.8318	+	23.0277i	−1.46896	+	0.944044i
$596$	11.3505	−	7.27259i	0.464934	−	0.297897i
$597$			26.0802i			1.06739i
$598$	0.409713	+	8.79426i	0.0167544	+	0.359624i
$599$		−	27.6798i		−	1.13096i	−0.824760	−	0.565482i	$-0.808690\pi$
$599$		−	27.6798i		−	1.13096i	0.824760	−	0.565482i	$-0.191310\pi$
$600$	0.223201	−	0.594695i	0.00911214	−	0.0242783i
$601$	−39.4520	+	25.3543i	−1.60928	+	1.03422i	−0.646878	+	0.762594i	$0.723926\pi$
$601$	−39.4520	+	25.3543i	−1.60928	+	1.03422i	−0.962402	+	0.271628i	$0.912438\pi$
$602$	34.5750	+	34.6223i	1.40917	+	1.41110i
$603$	−4.90927	−	10.7498i	−0.199921	−	0.437766i
$604$	6.71711	−	14.6553i	0.273315	−	0.596316i
$605$	−1.02227	−	3.48154i	−0.0415613	−	0.141545i
$606$	−0.453740	−	6.40570i	−0.0184319	−	0.260214i
$607$	14.9222	+	6.81475i	0.605675	+	0.276602i	0.694555	−	0.719440i	$-0.255601\pi$
$607$	14.9222	+	6.81475i	0.605675	+	0.276602i	−0.0888800	+	0.996042i	$0.528329\pi$
$608$	−24.0175	−	5.31080i	−0.974038	−	0.215381i
$609$	21.1888	−	18.3602i	0.858612	−	0.743991i
$610$	−31.0511	−	6.77700i	−1.25722	−	0.274393i
$611$	−0.455075	+	1.54984i	−0.0184104	+	0.0627000i
$612$	−5.25921	+	6.05270i	−0.212591	+	0.244666i
$613$	−15.0169	+	23.3668i	−0.606528	+	0.943776i	0.393176	+	0.919463i	$0.371376\pi$
$613$	−15.0169	+	23.3668i	−0.606528	+	0.943776i	−0.999704	+	0.0243129i	$0.992260\pi$
$614$	4.65596	+	3.49038i	0.187899	+	0.140860i
$615$	3.83365	−	26.6636i	0.154588	−	1.07518i
$616$	34.6676	−	34.5256i	1.39680	−	1.39107i
$617$	1.29068	−	0.185572i	0.0519609	−	0.00747085i	−0.116285	−	0.993216i	$-0.537099\pi$
$617$	1.29068	−	0.185572i	0.0519609	−	0.00747085i	0.168246	+	0.985745i	$0.446190\pi$
$618$	18.4957	+	6.91295i	0.744006	+	0.278080i
$619$	6.19914	−	7.15419i	0.249164	−	0.287551i	−0.617365	−	0.786677i	$-0.711800\pi$
$619$	6.19914	−	7.15419i	0.249164	−	0.287551i	0.866530	+	0.499126i	$0.166345\pi$
$620$	8.42427	−	28.5459i	0.338327	−	1.14643i
$621$	4.09597	−	2.49460i	0.164366	−	0.100105i
$622$	−13.5659	−	18.1478i	−0.543943	−	0.727660i
$623$	13.6698	+	11.8449i	0.547668	+	0.474557i
$624$	−0.0142088	+	5.19218i	−0.000568806	+	0.207854i
$625$	3.39089	+	23.5842i	0.135636	+	0.943366i
$626$	17.1012	−	31.2675i	0.683499	−	1.24970i
$627$	15.3144	+	2.20188i	0.611598	+	0.0879346i
$628$	−5.16360	−	0.00706526i	−0.206050	−	0.000281934i
$629$	24.3731	+	15.6636i	0.971818	+	0.624550i
$630$	14.6833	−	3.18364i	0.584998	−	0.126839i
$631$	13.1603	+	3.86422i	0.523905	+	0.153832i	0.532982	−	0.846126i	$-0.321071\pi$
$631$	13.1603	+	3.86422i	0.523905	+	0.153832i	−0.00907732	+	0.999959i	$0.502889\pi$
$632$	−4.93537	+	8.99451i	−0.196318	+	0.357782i
$633$	−0.691045	−	0.797509i	−0.0274666	−	0.0316981i
$634$	−32.7111	+	12.1751i	−1.29912	+	0.483536i
$635$	8.74100	−	19.1401i	0.346876	−	0.759552i
$636$	−2.23832	+	1.93416i	−0.0887550	+	0.0766943i
$637$	20.7186	−	6.08353i	0.820901	−	0.241038i
$638$	13.8901	+	25.4792i	0.549913	+	1.00873i
$639$	−3.97715	+	1.81630i	−0.157334	+	0.0718518i
$640$	1.88184	−	24.6518i	0.0743861	−	0.974449i
$641$	−2.17973	−	3.39173i	−0.0860942	−	0.133965i	0.795536	−	0.605907i	$-0.207190\pi$
$641$	−2.17973	−	3.39173i	−0.0860942	−	0.133965i	−0.881630	+	0.471942i	$0.843553\pi$
$642$	−0.497427	−	0.0359187i	−0.0196319	−	0.00141760i
$643$	−43.3224			−1.70847			−0.854235	−	0.519887i	$-0.825974\pi$
$643$	−43.3224			−1.70847			−0.854235	+	0.519887i	$0.825974\pi$
$644$	−39.8591	+	24.2010i	−1.57067	+	0.953652i
$645$	−15.5520			−0.612358
$646$	24.5901	+	1.77563i	0.967486	+	0.0698613i
$647$	−5.29520	−	8.23950i	−0.208176	−	0.323928i	0.721427	−	0.692490i	$-0.243486\pi$
$647$	−5.29520	−	8.23950i	−0.208176	−	0.323928i	−0.929603	+	0.368562i	$0.879850\pi$
$648$	2.48523	−	1.35042i	0.0976290	−	0.0530496i
$649$	−18.4437	+	8.42295i	−0.723978	+	0.330630i
$650$	0.197328	+	0.361968i	0.00773985	+	0.0141976i
$651$	−31.7659	+	9.32732i	−1.24501	+	0.365567i
$652$	24.8604	+	28.7699i	0.973608	+	1.12672i
$653$	−18.6361	+	40.8073i	−0.729285	+	1.59691i	0.0711307	+	0.997467i	$0.477339\pi$
$653$	−18.6361	+	40.8073i	−0.729285	+	1.59691i	−0.800416	+	0.599445i	$0.795388\pi$
$654$	−10.4697	+	3.89683i	−0.409397	+	0.152378i
$655$	0.921180	+	1.06310i	0.0359935	+	0.0415387i
$656$	6.88365	+	48.8250i	0.268762	+	1.90630i
$657$	0.613693	+	0.180197i	0.0239425	+	0.00703014i
$658$	−8.36130	+	1.81290i	−0.325957	+	0.0706742i
$659$	7.25489	+	4.66243i	0.282610	+	0.181623i	0.674265	−	0.738490i	$-0.264461\pi$
$659$	7.25489	+	4.66243i	0.282610	+	0.181623i	−0.391654	+	0.920112i	$0.628097\pi$
$660$	−0.0212782	+	15.5511i	−0.000828254	+	0.605324i
$661$	13.5592	+	1.94952i	0.527392	+	0.0758276i	0.400868	−	0.916136i	$-0.368709\pi$
$661$	13.5592	+	1.94952i	0.527392	+	0.0758276i	0.126524	+	0.991963i	$0.459618\pi$
$662$	−11.0464	+	20.1971i	−0.429329	+	0.784981i
$663$	−0.740625	−	5.15116i	−0.0287635	−	0.200054i
$664$	11.5372	+	8.67367i	0.447732	+	0.336604i
$665$	−34.9126	−	30.2519i	−1.35385	−	1.17312i
$666$	−6.11889	−	8.18555i	−0.237102	−	0.317184i
$667$	−7.14864	−	26.7176i	−0.276796	−	1.03451i
$668$	0.569011	+	0.167923i	0.0220157	+	0.00649712i
$669$	8.19993	−	9.46322i	0.317027	−	0.365869i
$670$	−34.2106	−	12.7866i	−1.32167	−	0.493988i
$671$	−36.2194	+	5.20757i	−1.39824	+	0.201036i
$672$	−24.1823	+	13.0974i	−0.932853	+	0.505242i
$673$	−5.21988	+	36.3050i	−0.201211	+	1.39946i	0.599485	+	0.800386i	$0.295372\pi$
$673$	−5.21988	+	36.3050i	−0.201211	+	1.39946i	−0.800696	+	0.599070i	$0.795537\pi$
$674$	11.0885	+	8.31262i	0.427115	+	0.320190i
$675$	0.121416	−	0.188927i	0.00467329	−	0.00727179i
$676$	17.0824	+	14.8430i	0.657016	+	0.570884i
$677$	6.90171	−	23.5051i	0.265254	−	0.903373i	−0.713899	−	0.700249i	$-0.753072\pi$
$677$	6.90171	−	23.5051i	0.265254	−	0.903373i	0.979153	−	0.203124i	$-0.0651095\pi$
$678$	10.6241	+	2.31875i	0.408017	+	0.0890511i
$679$	−24.8563	+	21.5381i	−0.953896	+	0.826556i
$680$	1.71708	+	24.7208i	0.0658469	+	0.947999i
$681$	4.15246	+	1.89636i	0.159123	+	0.0726688i
$682$	−2.42122	−	34.1817i	−0.0927132	−	1.30888i
$683$	−3.91512	−	13.3337i	−0.149808	−	0.510199i	0.850056	−	0.526692i	$-0.176568\pi$
$683$	−3.91512	−	13.3337i	−0.149808	−	0.510199i	−0.999864	+	0.0164931i	$0.994750\pi$
$684$	−7.90574	−	3.62351i	−0.302284	−	0.138549i
$685$	−12.5292	−	27.4350i	−0.478714	−	1.04824i
$686$	46.8103	+	46.8744i	1.78723	+	1.78967i
$687$	11.9996	−	7.71166i	0.457812	−	0.294218i
$688$	27.3356	−	7.94526i	1.04216	−	0.302910i
$689$		−	1.91995i		−	0.0731444i
$690$	3.50929	−	14.3998i	0.133596	−	0.548191i
$691$		−	8.50130i		−	0.323405i	−0.986840	−	0.161702i	$-0.948302\pi$
$691$		−	8.50130i		−	0.323405i	0.986840	−	0.161702i	$-0.0516984\pi$
$692$	−17.0295	−	26.5783i	−0.647365	−	1.01036i
$693$	14.5523	−	9.35218i	0.552795	−	0.355260i
$694$	28.6052	−	28.5661i	1.08584	−	1.08436i
$695$	−8.80654	−	19.2836i	−0.334051	−	0.731470i
$696$	−3.43453	−	15.9458i	−0.130186	−	0.604423i
$697$	−13.9235	−	47.4192i	−0.527392	−	1.79613i
$698$	20.0961	−	1.42349i	0.760650	−	0.0538797i
$699$	−26.5207	−	12.1116i	−1.00311	−	0.458103i
$700$	−1.18306	+	1.83536i	−0.0447156	+	0.0693699i
$701$	24.9280	−	21.6003i	0.941518	−	0.815830i	−0.0415373	−	0.999137i	$-0.513226\pi$
$701$	24.9280	−	21.6003i	0.941518	−	0.815830i	0.983056	+	0.183307i	$0.0586801\pi$
$702$	−0.391437	+	1.79350i	−0.0147739	+	0.0676913i
$703$	−8.85284	+	30.1500i	−0.333891	+	1.13713i
$704$	−7.90740	−	27.3449i	−0.298021	−	1.03060i
$705$	1.47018	−	2.28764i	0.0553701	−	0.0861575i
$706$	−17.7899	+	23.7307i	−0.669532	+	0.893116i
$707$	−3.14172	+	21.8512i	−0.118157	+	0.821798i
$708$	11.2831	−	1.60651i	0.424046	−	0.0603765i
$709$	24.8581	−	3.57405i	0.933564	−	0.134226i	0.341286	−	0.939960i	$-0.389138\pi$
$709$	24.8581	−	3.57405i	0.933564	−	0.134226i	0.592279	+	0.805733i	$0.298229\pi$
$710$	−4.73070	+	12.6570i	−0.177540	+	0.475010i
$711$	−2.37538	+	2.74134i	−0.0890838	+	0.102808i
$712$	9.86727	−	3.65725i	0.369791	−	0.137061i
$713$	−5.42748	+	32.2050i	−0.203261	+	1.20609i
$714$	22.0779	−	16.5037i	0.826243	−	0.617636i
$715$	−7.62781	−	6.60953i	−0.285264	−	0.247182i
$716$	14.5946	−	4.26369i	0.545427	−	0.159341i
$717$	−0.643070	−	4.47265i	−0.0240159	−	0.167034i
$718$	−1.66449	−	0.910358i	−0.0621181	−	0.0339742i
$719$	30.4793	+	4.38227i	1.13669	+	0.163431i	0.684860	−	0.728674i	$-0.259863\pi$
$719$	30.4793	+	4.38227i	1.13669	+	0.163431i	0.451827	+	0.892105i	$0.350772\pi$
$720$	2.48559	−	8.38025i	0.0926326	−	0.312313i
$721$	−57.1027	−	36.6977i	−2.12661	−	1.36669i
$722$	−0.0276723	−	0.127628i	−0.00102986	−	0.00474981i
$723$	−18.8163	−	5.52495i	−0.699784	−	0.205475i
$724$	−1.47073	−	3.23214i	−0.0546592	−	0.120122i
$725$	−0.848132	−	0.978796i	−0.0314988	−	0.0363516i
$726$	0.819113	+	2.20072i	0.0304001	+	0.0816765i
$727$	2.74061	−	6.00110i	0.101644	−	0.222568i	−0.851977	−	0.523579i	$-0.824597\pi$
$727$	2.74061	−	6.00110i	0.101644	−	0.222568i	0.953621	+	0.301010i	$0.0973239\pi$
$728$	3.82988	−	17.4333i	0.141945	−	0.646123i
$729$	0.959493	−	0.281733i	0.0355368	−	0.0104345i
$730$	1.73552	−	0.946122i	0.0642343	−	0.0350176i
$731$	−25.9539	+	11.8527i	−0.959938	+	0.438389i
$732$	20.3545	+	2.95497i	0.752326	+	0.109219i
$733$	−0.837040	−	1.30246i	−0.0309168	−	0.0481075i	0.825451	−	0.564474i	$-0.190921\pi$
$733$	−0.837040	−	1.30246i	−0.0309168	−	0.0481075i	−0.856368	+	0.516366i	$0.827284\pi$
$734$	2.30842	−	31.9686i	0.0852054	−	1.17998i
$735$	−36.3524			−1.34088
$736$	1.18839	+	27.1033i	0.0438045	+	0.999040i
$737$	−42.0493			−1.54891
$738$	−1.25555	+	17.3877i	−0.0462174	+	0.640050i
$739$	−5.44821	−	8.47758i	−0.200416	−	0.311853i	0.726469	−	0.687199i	$-0.241160\pi$
$739$	−5.44821	−	8.47758i	−0.200416	−	0.311853i	−0.926885	+	0.375346i	$0.877524\pi$
$740$	−31.2560	−	4.53760i	−1.14899	−	0.166805i
$741$	5.13424	−	2.34473i	0.188611	−	0.0861357i
$742$	8.92877	−	4.86755i	0.327785	−	0.178693i
$743$	11.9600	−	3.51178i	0.438771	−	0.128835i	−0.0548837	−	0.998493i	$-0.517479\pi$
$743$	11.9600	−	3.51178i	0.438771	−	0.128835i	0.493655	+	0.869658i	$0.335661\pi$
$744$	−4.13290	+	18.8127i	−0.151520	+	0.689706i
$745$	6.11877	−	13.3982i	0.224175	−	0.490874i
$746$	3.42863	+	9.21175i	0.125531	+	0.337266i
$747$	3.34188	+	3.85673i	0.122273	+	0.141111i
$748$	11.8165	+	25.9685i	0.432055	+	0.949504i
$749$	1.64500	+	0.483014i	0.0601068	+	0.0176490i
$750$	−3.42134	−	15.7796i	−0.124930	−	0.576190i
$751$	27.2303	+	17.4999i	0.993648	+	0.638579i	0.933112	−	0.359587i	$-0.117082\pi$
$751$	27.2303	+	17.4999i	0.993648	+	0.638579i	0.0605366	+	0.998166i	$0.480719\pi$
$752$	−1.41540	+	4.77206i	−0.0516143	+	0.174019i
$753$	5.86981	+	0.843951i	0.213908	+	0.0307553i
$754$	9.28812	+	5.07995i	0.338253	+	0.185001i
$755$	−2.50684	−	17.4355i	−0.0912334	−	0.634542i
$756$	−9.33309	+	2.72658i	−0.339441	+	0.0991646i
$757$	37.2021	+	32.2358i	1.35213	+	1.17163i	0.968750	+	0.248040i	$0.0797864\pi$
$757$	37.2021	+	32.2358i	1.35213	+	1.17163i	0.383383	+	0.923590i	$0.374759\pi$
$758$	5.48226	−	4.09812i	0.199125	−	0.148850i
$759$	−2.01975	−	16.9443i	−0.0733121	−	0.615041i
$760$	−25.2010	+	9.34061i	−0.914136	+	0.338819i
$761$	2.57358	−	2.97007i	0.0932923	−	0.107665i	−0.707184	−	0.707030i	$-0.750035\pi$
$761$	2.57358	−	2.97007i	0.0932923	−	0.107665i	0.800476	+	0.599365i	$0.204580\pi$
$762$	−4.76745	+	12.7554i	−0.172707	+	0.462078i
$763$	38.0126	−	5.46539i	1.37615	−	0.197860i
$764$	30.7468	−	4.37779i	1.11238	−	0.158383i
$765$	−1.24685	+	8.67200i	−0.0450798	+	0.313537i
$766$	−20.7263	+	27.6476i	−0.748871	+	0.998949i
$767$	−3.99906	+	6.22265i	−0.144398	+	0.224687i
$768$	−0.0875696	+	15.9998i	−0.00315990	+	0.577342i
$769$	−7.17231	+	24.4267i	−0.258640	+	0.880848i	0.723120	+	0.690723i	$0.242707\pi$
$769$	−7.17231	+	24.4267i	−0.258640	+	0.880848i	−0.981760	+	0.190125i	$0.939111\pi$
$770$	11.3994	−	52.2300i	0.410805	−	1.88224i
$771$	−2.20926	+	1.91434i	−0.0795646	+	0.0689431i
$772$	−14.9019	+	23.1182i	−0.536331	+	0.832042i
$773$	3.92077	+	1.79055i	0.141020	+	0.0644018i	0.484675	−	0.874694i	$-0.338938\pi$
$773$	3.92077	+	1.79055i	0.141020	+	0.0644018i	−0.343655	+	0.939096i	$0.611665\pi$
$774$	10.0394	−	0.711129i	0.360859	−	0.0255610i
$775$	0.430868	+	1.46740i	0.0154772	+	0.0527106i
$776$	4.02901	+	18.7058i	0.144633	+	0.671499i
$777$	14.5945	+	31.9574i	0.523574	+	1.14647i
$778$	−19.4097	+	19.3832i	−0.695872	+	0.694921i
$779$	45.0923	−	28.9790i	1.61560	−	1.03828i
$780$	3.06062	+	4.77678i	0.109588	+	0.171036i
$781$			15.5572i			0.556679i
$782$	−5.11815	−	26.7056i	−0.183025	−	0.954991i
$783$		−	5.76698i		−	0.206095i
$784$	63.8964	−	18.5719i	2.28201	−	0.663282i
$785$	−4.74630	+	3.05026i	−0.169403	+	0.108869i
$786$	−0.643269	−	0.644149i	−0.0229446	−	0.0229760i
$787$	9.52703	+	20.8613i	0.339602	+	0.743624i	0.999973	−	0.00731478i	$-0.00232839\pi$
$787$	9.52703	+	20.8613i	0.339602	+	0.743624i	−0.660371	+	0.750939i	$0.729601\pi$
$788$	−4.11715	−	1.88705i	−0.146667	−	0.0672235i
$789$	0.0903137	+	0.307580i	0.00321525	+	0.0109501i
$790$	0.792062	+	11.1820i	0.0281803	+	0.397837i
$791$	−34.0039	−	15.5290i	−1.20904	−	0.552149i
$792$	−0.697351	−	10.0398i	−0.0247793	−	0.356748i
$793$	−10.0886	+	8.74180i	−0.358256	+	0.310430i
$794$	−44.5998	−	9.73406i	−1.58279	−	0.345449i
$795$	−0.910631	+	3.10132i	−0.0322967	+	0.109993i
$796$	−39.3734	−	34.2117i	−1.39555	−	1.21260i
$797$	−7.43048	+	11.5621i	−0.263201	+	0.409549i	−0.947551	−	0.319605i	$-0.896450\pi$
$797$	−7.43048	+	11.5621i	−0.263201	+	0.409549i	0.684350	+	0.729154i	$0.260086\pi$
$798$	23.9207	+	17.9324i	0.846785	+	0.634799i
$799$	0.710006	−	4.93820i	0.0251182	−	0.174701i
$800$	0.605021	+	1.11708i	0.0213907	+	0.0394948i
$801$	3.68265	−	0.529486i	0.130120	−	0.0187085i
$802$	32.5167	+	12.1534i	1.14820	+	0.429153i
$803$	1.49033	−	1.71993i	0.0525927	−	0.0606952i
$804$	22.6690	+	6.68991i	0.799472	+	0.235935i
$805$	−22.2791	+	45.8214i	−0.785235	+	1.61499i
$806$	−7.48476	−	10.0127i	−0.263639	−	0.352684i
$807$	7.23445	+	6.26869i	0.254665	+	0.220668i
$808$	10.2659	+	7.71791i	0.361154	+	0.271515i
$809$	0.767162	+	5.33573i	0.0269720	+	0.187594i	0.998853	−	0.0478773i	$-0.0152457\pi$
$809$	0.767162	+	5.33573i	0.0269720	+	0.187594i	−0.971881	+	0.235471i	$0.924337\pi$
$810$	1.48295	−	2.71140i	0.0521055	−	0.0952690i
$811$	−4.22034	−	0.606794i	−0.148196	−	0.0213074i	0.0678174	−	0.997698i	$-0.478396\pi$
$811$	−4.22034	−	0.606794i	−0.148196	−	0.0213074i	−0.216014	+	0.976390i	$0.569306\pi$
$812$	−0.0767243	+	56.0734i	−0.00269249	+	1.96779i
$813$	21.1986	+	13.6235i	0.743467	+	0.477797i
$814$	−35.5378	+	7.70532i	−1.24560	+	0.270071i
$815$	39.8624	+	11.7047i	1.39632	+	0.409996i
$816$	−2.23882	−	15.8797i	−0.0783744	−	0.555901i
$817$	−20.2650	−	23.3871i	−0.708984	−	0.818211i
$818$	−6.68004	+	2.48632i	−0.233562	+	0.0869322i
$819$	2.62152	−	5.74033i	0.0916033	−	0.200583i
$820$	35.2253	+	40.7647i	1.23012	+	1.42356i
$821$	9.19090	−	2.69869i	0.320765	−	0.0941850i	−0.117386	−	0.993086i	$-0.537452\pi$
$821$	9.19090	−	2.69869i	0.320765	−	0.0941850i	0.438151	+	0.898901i	$0.355633\pi$
$822$	9.34254	+	17.1375i	0.325859	+	0.597737i
$823$	−16.8747	+	7.70640i	−0.588214	+	0.268628i	−0.687209	−	0.726460i	$-0.741164\pi$
$823$	−16.8747	+	7.70640i	−0.588214	+	0.268628i	0.0989952	+	0.995088i	$0.468437\pi$
$824$	−34.6989	+	18.8547i	−1.20880	+	0.656835i
$825$	−0.432016	−	0.672229i	−0.0150409	−	0.0234040i
$826$	−39.0771	−	2.82172i	−1.35967	−	0.0981803i
$827$	−32.3665			−1.12549			−0.562747	−	0.826629i	$-0.690255\pi$
$827$	−32.3665			−1.12549			−0.562747	+	0.826629i	$0.690255\pi$
$828$	−1.60694	+	9.45610i	−0.0558449	+	0.328622i
$829$	40.6649			1.41235			0.706175	−	0.708037i	$-0.250419\pi$
$829$	40.6649			1.41235			0.706175	+	0.708037i	$0.250419\pi$
$830$	15.7302	+	1.13586i	0.546002	+	0.0394263i
$831$	2.52633	+	3.93105i	0.0876375	+	0.136367i
$832$	−7.82003	−	6.83249i	−0.271111	−	0.236874i
$833$	−60.6666	+	27.7055i	−2.10197	+	0.959939i
$834$	6.56673	+	12.0456i	0.227387	+	0.417107i
$835$	0.621972	−	0.182628i	0.0215242	−	0.00632009i
$836$	−23.4134	+	20.2318i	−0.809771	+	0.699733i
$837$	−2.82893	+	6.19450i	−0.0977823	+	0.214113i
$838$	27.1005	−	10.0869i	0.936172	−	0.348445i
$839$	−2.17494	−	2.51002i	−0.0750873	−	0.0866554i	0.716963	−	0.697111i	$-0.245532\pi$
$839$	−2.17494	−	2.51002i	−0.0750873	−	0.0866554i	−0.792050	+	0.610456i	$0.790986\pi$
$840$	−14.4551	+	26.3438i	−0.498747	+	0.908947i
$841$	−4.08553	−	1.19962i	−0.140880	−	0.0413662i
$842$	14.2339	−	3.08619i	0.490532	−	0.106357i
$843$	27.0242	+	17.3674i	0.930763	+	0.598165i
$844$	2.11051	+	0.00288777i	0.0726467	+	9.94012e-5i
$845$	24.4748	+	3.51895i	0.841960	+	0.121056i
$846$	−0.844452	+	1.54399i	−0.0290329	+	0.0530833i
$847$	−1.14882	−	7.99024i	−0.0394740	−	0.274548i
$848$	0.0161906	−	5.91640i	0.000555989	−	0.203170i
$849$	−9.30014	−	8.05862i	−0.319180	−	0.276571i
$850$	−0.762375	−	1.01987i	−0.0261493	−	0.0349812i
$851$	34.6469	+	0.837254i	1.18768	+	0.0287007i
$852$	2.47509	−	8.38693i	0.0847953	−	0.287331i
$853$	−34.1206	+	39.3773i	−1.16827	+	1.34825i	−0.242504	+	0.970151i	$0.577969\pi$
$853$	−34.1206	+	39.3773i	−1.16827	+	1.34825i	−0.925764	+	0.378102i	$0.876577\pi$
$854$	−66.2308	−	24.7544i	−2.26637	−	0.847080i
$855$	−9.40549	+	1.35231i	−0.321661	+	0.0462479i
$856$	0.706746	−	0.703850i	0.0241561	−	0.0240571i
$857$	−3.68455	+	25.6266i	−0.125862	+	0.875388i	0.824859	+	0.565339i	$0.191255\pi$
$857$	−3.68455	+	25.6266i	−0.125862	+	0.875388i	−0.950721	+	0.310049i	$0.899654\pi$
$858$	5.22627	+	3.91792i	0.178422	+	0.133756i
$859$	−10.5955	+	16.4869i	−0.361512	+	0.562524i	−0.973599	−	0.228267i	$-0.926694\pi$
$859$	−10.5955	+	16.4869i	−0.361512	+	0.562524i	0.612086	+	0.790791i	$0.290331\pi$
$860$	20.4009	−	23.4789i	0.695665	−	0.800624i
$861$	16.8839	−	57.5013i	0.575402	−	1.95964i
$862$	21.0368	+	4.59135i	0.716516	+	0.156382i
$863$	1.68893	−	1.46347i	0.0574920	−	0.0498171i	−0.625641	−	0.780111i	$-0.715162\pi$
$863$	1.68893	−	1.46347i	0.0574920	−	0.0498171i	0.683133	+	0.730294i	$0.260617\pi$
$864$	−1.22135	+	5.52343i	−0.0415512	+	0.187911i
$865$	−31.3734	−	14.3277i	−1.06673	−	0.487158i
$866$	−2.51060	−	35.4435i	−0.0853136	−	1.20442i
$867$	−0.260997	−	0.888873i	−0.00886391	−	0.0301877i
$868$	27.5887	−	60.1927i	0.936421	−	2.04307i
$869$	5.36156	+	11.7402i	0.181879	+	0.398258i
$870$	−12.5938	−	12.6110i	−0.426970	−	0.427554i
$871$	−12.9049	+	8.29344i	−0.437264	+	0.281013i
$872$	7.85093	−	20.9179i	0.265866	−	0.708371i
$873$			6.76517i			0.228966i
$874$	26.2273	−	13.4864i	0.887150	−	0.456185i
$875$			55.5056i			1.87643i
$876$	−1.07708	+	0.690117i	−0.0363912	+	0.0233169i
$877$	0.0327853	−	0.0210698i	0.00110708	−	0.000711477i	−0.540087	−	0.841609i	$-0.681609\pi$
$877$	0.0327853	−	0.0210698i	0.00110708	−	0.000711477i	0.541194	+	0.840898i	$0.317972\pi$
$878$	8.24575	−	8.23448i	0.278281	−	0.277900i
$879$	−12.1012	−	26.4979i	−0.408162	−	0.893751i
$880$	−23.4496	−	20.4318i	−0.790486	−	0.688757i
$881$	−1.64743	−	5.61065i	−0.0555035	−	0.189027i	0.927075	−	0.374876i	$-0.122315\pi$
$881$	−1.64743	−	5.61065i	−0.0555035	−	0.189027i	−0.982578	+	0.185849i	$0.940497\pi$
$882$	23.4669	−	1.66225i	0.790171	−	0.0559708i
$883$	16.4554	+	7.51492i	0.553768	+	0.252897i	0.672586	−	0.740019i	$-0.265183\pi$
$883$	16.4554	+	7.51492i	0.553768	+	0.252897i	−0.118819	+	0.992916i	$0.537911\pi$
$884$	8.74828	+	5.63910i	0.294236	+	0.189664i
$885$	9.41112	−	8.15478i	0.316351	−	0.274120i
$886$	−8.59334	+	39.3733i	−0.288699	+	1.32277i
$887$	−11.6225	+	39.5826i	−0.390246	+	1.32905i	0.496997	+	0.867752i	$0.334436\pi$
$887$	−11.6225	+	39.5826i	−0.390246	+	1.32905i	−0.887243	+	0.461303i	$0.847382\pi$
$888$	20.3845	+	1.49998i	0.684058	+	0.0503361i
$889$	25.3082	−	39.3803i	0.848809	−	1.32077i
$890$	6.89683	−	9.19996i	0.231182	−	0.308384i
$891$	0.506378	−	3.52193i	0.0169643	−	0.117989i
$892$	3.53011	+	24.7932i	0.118197	+	0.830138i
$893$	5.35588	−	0.770059i	0.179228	−	0.0257690i
$894$	−3.33726	+	8.92887i	−0.111615	+	0.298626i
$895$	10.8793	−	12.5554i	0.363656	−	0.419681i
$896$	11.9489	−	53.6892i	0.399186	−	1.79363i
$897$	−3.96181	−	4.80183i	−0.132281	−	0.160328i
$898$	−13.6664	+	10.2160i	−0.456054	+	0.340911i
$899$	29.6802	+	25.7180i	0.989890	+	0.857744i
$900$	0.125952	+	0.431134i	0.00419839	+	0.0143711i
$901$	0.843929	+	5.86966i	0.0281154	+	0.195547i
$902$	54.4213	+	29.7646i	1.81203	+	0.991054i
$903$	−34.2465	−	4.92390i	−1.13965	−	0.163857i
$904$	−17.4372	+	12.9976i	−0.579954	+	0.432293i
$905$	−3.26405	−	2.09768i	−0.108501	−	0.0697291i
$906$	2.41552	+	11.1407i	0.0802503	+	0.370123i
$907$	−10.9137	−	3.20455i	−0.362383	−	0.106405i	0.0954718	−	0.995432i	$-0.469564\pi$
$907$	−10.9137	−	3.20455i	−0.362383	−	0.106405i	−0.457855	+	0.889027i	$0.651382\pi$
$908$	−8.31010	+	3.78136i	−0.275780	+	0.125489i
$909$	2.97363	+	3.43176i	0.0986292	+	0.113824i
$910$	−6.80295	−	18.2776i	−0.225515	−	0.605896i
$911$	−8.61297	+	18.8598i	−0.285360	+	0.624852i	−0.996975	−	0.0777176i	$-0.975237\pi$
$911$	−8.61297	+	18.8598i	−0.285360	+	0.624852i	0.711615	+	0.702570i	$0.247964\pi$
$912$	15.8411	−	7.18206i	0.524551	−	0.237822i
$913$	17.4224	−	5.11568i	0.576597	−	0.169304i
$914$	35.4130	−	19.3055i	1.17136	−	0.638570i
$915$	20.4424	−	9.33573i	0.675805	−	0.308630i
$916$	−4.09857	+	28.2319i	−0.135421	+	0.932808i
$917$	1.69191	+	2.63267i	0.0558719	+	0.0869383i
$918$	0.408351	−	5.65513i	0.0134776	−	0.186647i
$919$	−45.5289			−1.50186			−0.750930	−	0.660382i	$-0.770394\pi$
$919$	−45.5289			−1.50186			−0.750930	+	0.660382i	$0.770394\pi$
$920$	17.1360	+	24.1875i	0.564958	+	0.797438i
$921$	−4.11465			−0.135582
$922$	−0.117194	+	1.62298i	−0.00385957	+	0.0534499i
$923$	3.06836	+	4.77446i	0.100996	+	0.157153i
$924$	−4.97047	+	34.2377i	−0.163516	+	1.12634i
$925$	1.47625	−	0.674179i	0.0485387	−	0.0221669i
$926$	51.4557	−	28.0512i	1.69094	−	0.921821i
$927$	−13.3965	+	3.93357i	−0.439999	+	0.129195i
$928$	28.5788	+	15.7324i	0.938146	+	0.516440i
$929$	−3.38063	+	7.40255i	−0.110915	+	0.242870i	−0.956947	−	0.290262i	$-0.906258\pi$
$929$	−3.38063	+	7.40255i	−0.110915	+	0.242870i	0.846032	+	0.533131i	$0.178985\pi$
$930$	7.34119	+	19.7237i	0.240727	+	0.646766i
$931$	−47.3691	−	54.6669i	−1.55246	−	1.79163i
$932$	53.0745	−	24.1506i	1.73851	−	0.791079i
$933$	15.3725	+	4.51377i	0.503273	+	0.147774i
$934$	9.52334	+	43.9227i	0.311613	+	1.43720i
$935$	26.2249	+	16.8537i	0.857646	+	0.551176i
$936$	−2.19417	−	2.94365i	−0.0717189	−	0.0962162i
$937$	−40.9784	−	5.89180i	−1.33871	−	0.192477i	−0.564511	−	0.825425i	$-0.690935\pi$
$937$	−40.9784	−	5.89180i	−1.33871	−	0.192477i	−0.774194	+	0.632948i	$0.781844\pi$
$938$	−71.2857	−	38.9883i	−2.32756	−	1.27301i
$939$	3.58637	+	24.9438i	0.117037	+	0.814010i
$940$	1.52510	+	5.22044i	0.0497434	+	0.170272i
$941$	−40.7187	−	35.2829i	−1.32739	−	1.15019i	−0.976917	−	0.213617i	$-0.931476\pi$
$941$	−40.7187	−	35.2829i	−1.32739	−	1.15019i	−0.350473	−	0.936573i	$-0.613979\pi$
$942$	2.92445	−	2.18609i	0.0952836	−	0.0712267i
$943$	−43.7301	−	39.7821i	−1.42405	−	1.29548i
$944$	−12.3757	+	19.1416i	−0.402795	+	0.623006i
$945$	−6.95720	+	8.02903i	−0.226318	+	0.261184i
$946$	12.5377	−	33.5447i	0.407635	−	1.09063i
$947$	2.77447	−	0.398909i	0.0901583	−	0.0129628i	−0.0970880	−	0.995276i	$-0.530953\pi$
$947$	2.77447	−	0.398909i	0.0901583	−	0.0129628i	0.187246	+	0.982313i	$0.440044\pi$
$948$	−1.02261	−	7.18219i	−0.0332130	−	0.233267i
$949$	0.118155	−	0.821785i	0.00383547	−	0.0266763i
$950$	0.828371	−	1.10500i	0.0268759	−	0.0358508i
$951$	13.3433	−	20.7625i	0.432685	−	0.673271i
$952$	−4.04572	+	54.9805i	−0.131122	+	1.78193i
$953$	−7.32043	+	24.9311i	−0.237132	+	0.807598i	0.751821	+	0.659367i	$0.229176\pi$
$953$	−7.32043	+	24.9311i	−0.237132	+	0.807598i	−0.988953	+	0.148230i	$0.952642\pi$
$954$	0.446036	−	2.04366i	0.0144410	−	0.0661661i
$955$	25.6455	−	22.2220i	0.829870	−	0.719086i
$956$	7.59596	+	4.89633i	0.245671	+	0.158359i
$957$	−18.6654	−	8.52422i	−0.603368	−	0.275549i
$958$	35.8595	−	2.54006i	1.15857	−	0.0820657i
$959$	−18.9038	−	64.3806i	−0.610437	−	2.07896i
$960$	9.39114	+	14.7456i	0.303098	+	0.475913i
$961$	−6.38689	−	13.9853i	−0.206029	−	0.451140i
$962$	−9.38675	+	9.37392i	−0.302641	+	0.302227i
$963$	0.296668	−	0.190657i	0.00955999	−	0.00614383i
$964$	33.0240	−	21.1594i	1.06363	−	0.681500i
$965$			30.0528i			0.967435i
$966$	12.2868	−	30.5982i	0.395321	−	0.984482i
$967$			13.1467i			0.422769i	0.977403	+	0.211384i	$0.0677972\pi$
$967$			13.1467i			0.422769i	−0.977403	+	0.211384i	$0.932203\pi$
$968$	−4.39695	−	1.65027i	−0.141323	−	0.0530415i
$969$	−14.6657	+	9.42506i	−0.471130	+	0.302777i
$970$	14.7736	+	14.7939i	0.474353	+	0.475002i
$971$	12.6281	+	27.6517i	0.405255	+	0.887384i	0.996710	+	0.0810464i	$0.0258262\pi$
$971$	12.6281	+	27.6517i	0.405255	+	0.887384i	−0.591456	+	0.806338i	$0.701447\pi$
$972$	−0.833319	+	1.81813i	−0.0267287	+	0.0583164i
$973$	−13.2872	−	45.2521i	−0.425968	−	1.45072i
$974$	1.32293	+	18.6766i	0.0423895	+	0.598436i
$975$	−0.265169	−	0.121099i	−0.00849222	−	0.00387827i
$976$	−31.1620	+	26.8531i	−0.997471	+	0.859546i
$977$	6.42228	−	5.56494i	0.205467	−	0.178038i	−0.546049	−	0.837754i	$-0.683869\pi$
$977$	6.42228	−	5.56494i	0.205467	−	0.178038i	0.751516	+	0.659715i	$0.229323\pi$
$978$	−26.2679	−	5.73306i	−0.839956	−	0.183323i
$979$	3.72963	−	12.7019i	0.119199	−	0.405956i
$980$	47.6867	−	54.8815i	1.52330	−	1.75312i
$981$	4.27071	−	6.64536i	0.136353	−	0.212170i
$982$	24.8626	+	18.6385i	0.793397	+	0.594777i
$983$	2.32772	−	16.1896i	0.0742426	−	0.516369i	−0.918435	−	0.395573i	$-0.870546\pi$
$983$	2.32772	−	16.1896i	0.0742426	−	0.516369i	0.992677	−	0.120796i	$-0.0385448\pi$
$984$	−24.6033	−	24.7045i	−0.784324	−	0.787550i
$985$	−4.89819	+	0.704254i	−0.156069	+	0.0224394i
$986$	−30.6285	−	11.4477i	−0.975409	−	0.364569i
$987$	3.96172	−	4.57206i	0.126103	−	0.145530i
$988$	−3.19518	+	10.8270i	−0.101652	+	0.344452i
$989$	−19.1406	+	28.2583i	−0.608637	+	0.898562i
$990$	−6.58379	−	8.80747i	−0.209247	−	0.279920i
$991$	−20.6134	−	17.8616i	−0.654805	−	0.567392i	0.262817	−	0.964846i	$-0.415348\pi$
$991$	−20.6134	−	17.8616i	−0.654805	−	0.567392i	−0.917622	+	0.397454i	$0.869894\pi$
$992$	−22.9801	−	30.9177i	−0.729619	−	0.981639i
$993$	−2.31659	−	16.1123i	−0.0735149	−	0.511307i
$994$	−14.4247	+	26.3739i	−0.457522	+	0.836528i
$995$	−56.4123	−	8.11086i	−1.78839	−	0.257132i
$996$	−10.2064	−	0.0139652i	−0.323401	−	0.000442504i
$997$	33.6857	+	21.6485i	1.06684	+	0.685614i	0.951480	−	0.307710i	$-0.0995628\pi$
$997$	33.6857	+	21.6485i	1.06684	+	0.685614i	0.115356	+	0.993324i	$0.463199\pi$
$998$	−49.6456	+	10.7642i	−1.57150	+	0.340734i
$999$	6.93376	+	2.03594i	0.219374	+	0.0644141i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.7.13	✓	240
3.2	odd	2		828.2.u.c.559.12		240
4.3	odd	2	inner	276.2.m.a.7.23	yes	240
12.11	even	2		828.2.u.c.559.2		240
23.10	odd	22	inner	276.2.m.a.79.23	yes	240
69.56	even	22		828.2.u.c.631.2		240
92.79	even	22	inner	276.2.m.a.79.13	yes	240
276.263	odd	22		828.2.u.c.631.12		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.7.13	✓	240	1.1	even	1	trivial
276.2.m.a.7.23	yes	240	4.3	odd	2	inner
276.2.m.a.79.13	yes	240	92.79	even	22	inner
276.2.m.a.79.23	yes	240	23.10	odd	22	inner
828.2.u.c.559.2		240	12.11	even	2
828.2.u.c.559.12		240	3.2	odd	2
828.2.u.c.631.2		240	69.56	even	22
828.2.u.c.631.12		240	276.263	odd	22

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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.m (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.101854 - 1.41054i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.97925 - 0.287338i) q^{4} +(-1.98780 + 0.907796i) q^{5} +(1.24169 - 0.676911i) q^{6} +(-4.66467 + 1.36967i) q^{7} +(-0.606897 + 2.76255i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\)	\(q+(0.101854 - 1.41054i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.97925 - 0.287338i) q^{4} +(-1.98780 + 0.907796i) q^{5} +(1.24169 - 0.676911i) q^{6} +(-4.66467 + 1.36967i) q^{7} +(-0.606897 + 2.76255i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(1.07802 + 2.89633i) q^{10} +(2.33009 + 2.68907i) q^{11} +(-0.828340 - 1.82040i) q^{12} +(1.24547 + 0.365703i) q^{13} +(1.45686 + 6.71922i) q^{14} +(-1.83837 - 1.18145i) q^{15} +(3.83487 + 1.13743i) q^{16} +(-3.96838 - 0.570567i) q^{17} +(1.24076 + 0.678609i) q^{18} +(-0.618827 - 4.30403i) q^{19} +(4.19519 - 1.22559i) q^{20} +(-3.67415 - 3.18367i) q^{21} +(4.03037 - 3.01280i) q^{22} +(-4.40930 + 1.88629i) q^{23} +(-2.65212 + 0.982993i) q^{24} +(-0.147067 + 0.169724i) q^{25} +(0.642695 - 1.71954i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(9.62612 - 1.37059i) q^{28} +(-0.820726 + 5.70828i) q^{29} +(-1.85373 + 2.47276i) q^{30} +(3.68171 - 5.72885i) q^{31} +(1.99499 - 5.29339i) q^{32} +(-1.00245 + 3.41402i) q^{33} +(-1.20900 + 5.53945i) q^{34} +(8.02903 - 6.95720i) q^{35} +(1.08358 - 1.68103i) q^{36} +(-6.57344 - 3.00199i) q^{37} +(-6.13405 + 0.434498i) q^{38} +(0.365703 + 1.24547i) q^{39} +(-1.30144 - 6.04232i) q^{40} +(5.12081 + 11.2130i) q^{41} +(-4.86493 + 4.85828i) q^{42} +(5.98696 - 3.84759i) q^{43} +(-3.83917 - 5.99187i) q^{44} -2.18527i q^{45} +(2.21158 + 6.41162i) q^{46} +1.24439i q^{47} +(1.11642 + 3.84104i) q^{48} +(13.9944 - 8.99366i) q^{49} +(0.224424 + 0.224731i) q^{50} +(-1.66548 - 3.64689i) q^{51} +(-2.36002 - 1.08169i) q^{52} +(-0.416712 - 1.41919i) q^{53} +(0.0999238 + 1.41068i) q^{54} +(-7.07288 - 3.23007i) q^{55} +(-0.952810 - 13.7176i) q^{56} +(3.28622 - 2.84753i) q^{57} +(7.96816 + 1.73908i) q^{58} +(-1.60544 + 5.46763i) q^{59} +(3.29912 + 2.86662i) q^{60} +(-5.55993 + 8.65142i) q^{61} +(-7.70578 - 5.77671i) q^{62} +(0.691878 - 4.81212i) q^{63} +(-7.26335 - 3.35316i) q^{64} +(-2.80772 + 0.403690i) q^{65} +(4.71351 + 1.76172i) q^{66} +(-7.73898 + 8.93126i) q^{67} +(7.69048 + 2.26956i) q^{68} +(-3.97069 - 2.68953i) q^{69} +(-8.99562 - 12.0339i) q^{70} +(3.30433 + 2.86322i) q^{71} +(-2.26079 - 1.69966i) q^{72} +(-0.0910248 - 0.633092i) q^{73} +(-4.90396 + 8.96634i) q^{74} +(-0.222292 - 0.0319607i) q^{75} +(-0.0118994 + 8.69658i) q^{76} +(-14.5523 - 9.35218i) q^{77} +(1.79403 - 0.388983i) q^{78} +(3.48038 + 1.02193i) q^{79} +(-8.65550 + 1.22031i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(16.3380 - 6.08102i) q^{82} +(2.11994 - 4.64203i) q^{83} +(6.35728 + 7.35701i) q^{84} +(8.40629 - 2.46831i) q^{85} +(-4.81738 - 8.83675i) q^{86} +(-5.24583 + 2.39569i) q^{87} +(-8.84282 + 4.80501i) q^{88} +(-2.01147 - 3.12990i) q^{89} +(-3.08242 - 0.222579i) q^{90} -6.31060 q^{91} +(9.26911 - 2.46648i) q^{92} +6.80990 q^{93} +(1.75526 + 0.126745i) q^{94} +(5.13728 + 7.99377i) q^{95} +(5.53166 - 1.18354i) q^{96} +(6.15382 - 2.81035i) q^{97} +(-11.2605 - 20.6557i) q^{98} +(-3.41402 + 1.00245i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9}+O(q^{10}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9	\( 240 q - 4 q^{2} - 4 q^{6} - 4 q^{8} + 24 q^{9} - 8 q^{16} + 4 q^{18} + 4 q^{24} + 24 q^{25} - 40 q^{26} + 32 q^{29} + 36 q^{32} - 22 q^{34} - 22 q^{36} - 110 q^{38} - 22 q^{40} - 16 q^{41} - 110 q^{42} - 154 q^{44} - 88 q^{46} - 56 q^{48} - 40 q^{49} - 142 q^{50} - 70 q^{52} - 18 q^{54} - 110 q^{56} - 46 q^{58} - 22 q^{60} + 40 q^{62} - 48 q^{64} - 16 q^{69} - 72 q^{70} + 4 q^{72} + 22 q^{74} + 110 q^{76} - 192 q^{77} + 198 q^{80} - 24 q^{81} + 172 q^{82} - 200 q^{85} + 220 q^{86} + 176 q^{88} - 88 q^{89} + 154 q^{92} - 16 q^{93} + 126 q^{94} - 44 q^{96} - 88 q^{97} + 228 q^{98}+O(q^{100}) \) 240 * q - 4 * q^2 - 4 * q^6 - 4 * q^8 + 24 * q^9 - 8 * q^16 + 4 * q^18 + 4 * q^24 + 24 * q^25 - 40 * q^26 + 32 * q^29 + 36 * q^32 - 22 * q^34 - 22 * q^36 - 110 * q^38 - 22 * q^40 - 16 * q^41 - 110 * q^42 - 154 * q^44 - 88 * q^46 - 56 * q^48 - 40 * q^49 - 142 * q^50 - 70 * q^52 - 18 * q^54 - 110 * q^56 - 46 * q^58 - 22 * q^60 + 40 * q^62 - 48 * q^64 - 16 * q^69 - 72 * q^70 + 4 * q^72 + 22 * q^74 + 110 * q^76 - 192 * q^77 + 198 * q^80 - 24 * q^81 + 172 * q^82 - 200 * q^85 + 220 * q^86 + 176 * q^88 - 88 * q^89 + 154 * q^92 - 16 * q^93 + 126 * q^94 - 44 * q^96 - 88 * q^97 + 228 * q^98

Introduction

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