LMFDB - Embedded newform 276.2.m.a.247.23

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			247.23
Character	$\chi$	$=$	276.247
Dual form			276.2.m.a.19.23

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.37328 + 0.337778i) q^{2} +(-0.281733 + 0.959493i) q^{3} +(1.77181 + 0.927729i) q^{4} +(0.802068 + 1.24804i) q^{5} +(-0.710994 + 1.22249i) q^{6} +(0.333353 - 2.31852i) q^{7} +(2.11983 + 1.87251i) q^{8} +(-0.841254 - 0.540641i) q^{9} +O(q^{10})$	\(q+(1.37328 + 0.337778i) q^{2} +(-0.281733 + 0.959493i) q^{3} +(1.77181 + 0.927729i) q^{4} +(0.802068 + 1.24804i) q^{5} +(-0.710994 + 1.22249i) q^{6} +(0.333353 - 2.31852i) q^{7} +(2.11983 + 1.87251i) q^{8} +(-0.841254 - 0.540641i) q^{9} +(0.679905 + 1.98484i) q^{10} +(-1.33517 - 2.92362i) q^{11} +(-1.38933 + 1.43867i) q^{12} +(0.940564 + 6.54177i) q^{13} +(1.24093 - 3.07139i) q^{14} +(-1.42346 + 0.417964i) q^{15} +(2.27864 + 3.28752i) q^{16} +(-3.20986 - 2.78136i) q^{17} +(-0.972663 - 1.02661i) q^{18} +(-1.25613 - 1.44965i) q^{19} +(0.263269 + 2.95540i) q^{20} +(2.13069 + 0.973052i) q^{21} +(-0.846036 - 4.46595i) q^{22} +(-3.89006 + 2.80489i) q^{23} +(-2.39389 + 1.50642i) q^{24} +(1.16278 - 2.54613i) q^{25} +(-0.918003 + 9.30140i) q^{26} +(0.755750 - 0.654861i) q^{27} +(2.74160 - 3.79872i) q^{28} +(4.91811 - 5.67580i) q^{29} +(-2.09599 + 0.0931716i) q^{30} +(-1.40691 - 4.79150i) q^{31} +(2.01876 + 5.28437i) q^{32} +(3.18135 - 0.457410i) q^{33} +(-3.46856 - 4.90381i) q^{34} +(3.16098 - 1.44357i) q^{35} +(-0.988975 - 1.73837i) q^{36} +(3.15377 - 4.90737i) q^{37} +(-1.23536 - 2.41508i) q^{38} +(-6.54177 - 0.940564i) q^{39} +(-0.636724 + 4.14752i) q^{40} +(-6.60126 + 4.24238i) q^{41} +(2.59736 + 2.05598i) q^{42} +(5.91571 + 1.73701i) q^{43} +(0.346652 - 6.41878i) q^{44} -1.48355i q^{45} +(-6.28959 + 2.53793i) q^{46} -4.95230i q^{47} +(-3.79632 + 1.26014i) q^{48} +(1.45204 + 0.426357i) q^{49} +(2.45685 - 3.10380i) q^{50} +(3.57302 - 2.29624i) q^{51} +(-4.40248 + 12.4634i) q^{52} +(-8.67435 - 1.24718i) q^{53} +(1.25906 - 0.644034i) q^{54} +(2.57790 - 4.01129i) q^{55} +(5.04811 - 4.29067i) q^{56} +(1.74482 - 0.796834i) q^{57} +(8.67112 - 6.13325i) q^{58} +(-8.23768 + 1.18440i) q^{59} +(-2.90985 - 0.580027i) q^{60} +(-1.16902 - 3.98132i) q^{61} +(-0.313626 - 7.05532i) q^{62} +(-1.53392 + 1.77024i) q^{63} +(0.987389 + 7.93883i) q^{64} +(-7.41000 + 6.42080i) q^{65} +(4.52340 + 0.446438i) q^{66} +(-3.55277 + 7.77948i) q^{67} +(-3.10692 - 7.90592i) q^{68} +(-1.59531 - 4.52272i) q^{69} +(4.82853 - 0.914724i) q^{70} +(3.24835 + 1.48347i) q^{71} +(-0.770961 - 2.72133i) q^{72} +(1.59896 + 1.84530i) q^{73} +(5.98862 - 5.67393i) q^{74} +(2.11540 + 1.83301i) q^{75} +(-0.880744 - 3.73386i) q^{76} +(-7.22356 + 2.12103i) q^{77} +(-8.66600 - 3.50132i) q^{78} +(-1.28775 - 8.95651i) q^{79} +(-2.27534 + 5.48065i) q^{80} +(0.415415 + 0.909632i) q^{81} +(-10.4984 + 3.59622i) q^{82} +(8.10326 + 5.20765i) q^{83} +(2.87245 + 3.70077i) q^{84} +(0.896727 - 6.23688i) q^{85} +(7.53722 + 4.38360i) q^{86} +(4.06030 + 6.31795i) q^{87} +(2.64417 - 8.69772i) q^{88} +(-3.71385 + 12.6482i) q^{89} +(0.501110 - 2.03733i) q^{90} +15.4808 q^{91} +(-9.49464 + 1.36081i) q^{92} +4.99379 q^{93} +(1.67278 - 6.80091i) q^{94} +(0.801724 - 2.73042i) q^{95} +(-5.63907 + 0.448209i) q^{96} +(1.20320 + 1.87221i) q^{97} +(1.85005 + 1.07598i) q^{98} +(-0.457410 + 3.18135i) 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 $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{7}{22}\right)$	$-1$	$1$

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 $

$2$	1.37328	+	0.337778i	0.971058	+	0.238845i
$2$	1.37328	+	0.337778i	0.971058	+	0.238845i
$3$	−0.281733	+	0.959493i	−0.162658	+	0.553964i
$3$	−0.281733	+	0.959493i	−0.162658	+	0.553964i
$4$	1.77181	+	0.927729i	0.885906	+	0.463864i
$5$	0.802068	+	1.24804i	0.358696	+	0.558141i	0.972964	−	0.230956i	$-0.0741852\pi$
$5$	0.802068	+	1.24804i	0.358696	+	0.558141i	−0.614269	+	0.789097i	$0.710549\pi$
$6$	−0.710994	+	1.22249i	−0.290262	+	0.499080i
$7$	0.333353	−	2.31852i	0.125996	−	0.876318i	−0.824562	−	0.565771i	$-0.808579\pi$
$7$	0.333353	−	2.31852i	0.125996	−	0.876318i	0.950558	−	0.310547i	$-0.100512\pi$
$8$	2.11983	+	1.87251i	0.749474	+	0.662033i
$9$	−0.841254	−	0.540641i	−0.280418	−	0.180214i
$10$	0.679905	+	1.98484i	0.215005	+	0.627660i
$11$	−1.33517	−	2.92362i	−0.402570	−	0.881505i	−0.997003	−	0.0773599i	$-0.975351\pi$
$11$	−1.33517	−	2.92362i	−0.402570	−	0.881505i	0.594434	−	0.804145i	$-0.297376\pi$
$12$	−1.38933	+	1.43867i	−0.401064	+	0.415308i
$13$	0.940564	+	6.54177i	0.260866	+	1.81436i	0.526376	+	0.850252i	$0.323550\pi$
$13$	0.940564	+	6.54177i	0.260866	+	1.81436i	−0.265511	+	0.964108i	$0.585541\pi$
$14$	1.24093	−	3.07139i	0.331653	−	0.820862i
$15$	−1.42346	+	0.417964i	−0.367535	+	0.107918i
$16$	2.27864	+	3.28752i	0.569660	+	0.821881i
$17$	−3.20986	−	2.78136i	−0.778505	−	0.674579i	0.172066	−	0.985085i	$-0.444956\pi$
$17$	−3.20986	−	2.78136i	−0.778505	−	0.674579i	−0.950571	+	0.310507i	$0.899501\pi$
$18$	−0.972663	−	1.02661i	−0.229259	−	0.241974i
$19$	−1.25613	−	1.44965i	−0.288176	−	0.332573i	0.593141	−	0.805099i	$-0.297888\pi$
$19$	−1.25613	−	1.44965i	−0.288176	−	0.332573i	−0.881317	+	0.472526i	$0.843342\pi$
$20$	0.263269	+	2.95540i	0.0588688	+	0.660847i
$21$	2.13069	+	0.973052i	0.464954	+	0.212337i
$22$	−0.846036	−	4.46595i	−0.180375	−	0.952144i
$23$	−3.89006	+	2.80489i	−0.811134	+	0.584860i
$23$	−3.89006	+	2.80489i	−0.811134	+	0.584860i
$24$	−2.39389	+	1.50642i	−0.488651	+	0.307496i
$25$	1.16278	−	2.54613i	0.232556	−	0.509226i
$26$	−0.918003	+	9.30140i	−0.180035	+	1.82415i
$27$	0.755750	−	0.654861i	0.145444	−	0.126028i
$28$	2.74160	−	3.79872i	0.518113	−	0.717891i
$29$	4.91811	−	5.67580i	0.913270	−	1.05397i	−0.0850698	−	0.996375i	$-0.527111\pi$
$29$	4.91811	−	5.67580i	0.913270	−	1.05397i	0.998340	−	0.0575950i	$-0.0183432\pi$
$30$	−2.09599	+	0.0931716i	−0.382673	+	0.0170107i
$31$	−1.40691	−	4.79150i	−0.252689	−	0.860580i	−0.983944	−	0.178476i	$-0.942883\pi$
$31$	−1.40691	−	4.79150i	−0.252689	−	0.860580i	0.731255	−	0.682104i	$-0.238935\pi$
$32$	2.01876	+	5.28437i	0.356870	+	0.934154i
$33$	3.18135	−	0.457410i	0.553803	−	0.0796248i
$34$	−3.46856	−	4.90381i	−0.594854	−	0.840997i
$35$	3.16098	−	1.44357i	0.534304	−	0.244008i
$36$	−0.988975	−	1.73837i	−0.164829	−	0.289728i
$37$	3.15377	−	4.90737i	0.518477	−	0.806766i	−0.478995	−	0.877817i	$-0.658999\pi$
$37$	3.15377	−	4.90737i	0.518477	−	0.806766i	0.997473	+	0.0710510i	$0.0226353\pi$
$38$	−1.23536	−	2.41508i	−0.200402	−	0.391777i
$39$	−6.54177	−	0.940564i	−1.04752	−	0.150611i
$40$	−0.636724	+	4.14752i	−0.100675	+	0.655781i
$41$	−6.60126	+	4.24238i	−1.03094	+	0.662548i	−0.942731	−	0.333554i	$-0.891752\pi$
$41$	−6.60126	+	4.24238i	−1.03094	+	0.662548i	−0.0882133	+	0.996102i	$0.528116\pi$
$42$	2.59736	+	2.05598i	0.400782	+	0.317244i
$43$	5.91571	+	1.73701i	0.902137	+	0.264891i	0.699728	−	0.714409i	$-0.253305\pi$
$43$	5.91571	+	1.73701i	0.902137	+	0.264891i	0.202410	+	0.979301i	$0.435123\pi$
$44$	0.346652	−	6.41878i	0.0522597	−	0.967668i
$45$		−	1.48355i		−	0.221155i
$46$	−6.28959	+	2.53793i	−0.927349	+	0.374197i
$47$		−	4.95230i		−	0.722367i	−0.932495	−	0.361184i	$-0.882373\pi$
$47$		−	4.95230i		−	0.722367i	0.932495	−	0.361184i	$-0.117627\pi$
$48$	−3.79632	+	1.26014i	−0.547952	+	0.181885i
$49$	1.45204	+	0.426357i	0.207434	+	0.0609081i
$50$	2.45685	−	3.10380i	0.347451	−	0.438943i
$51$	3.57302	−	2.29624i	0.500322	−	0.321538i
$52$	−4.40248	+	12.4634i	−0.610515	+	1.72836i
$53$	−8.67435	−	1.24718i	−1.19151	−	0.171314i	−0.482107	−	0.876113i	$-0.660128\pi$
$53$	−8.67435	−	1.24718i	−1.19151	−	0.171314i	−0.709407	+	0.704799i	$0.751037\pi$
$54$	1.25906	−	0.644034i	0.171336	−	0.0876419i
$55$	2.57790	−	4.01129i	0.347604	−	0.540883i
$56$	5.04811	−	4.29067i	0.674582	−	0.573365i
$57$	1.74482	−	0.796834i	0.231108	−	0.105543i
$58$	8.67112	−	6.13325i	1.13857	−	0.805336i
$59$	−8.23768	+	1.18440i	−1.07245	+	0.154196i	−0.655849	−	0.754892i	$-0.727689\pi$
$59$	−8.23768	+	1.18440i	−1.07245	+	0.154196i	−0.416605	+	0.909088i	$0.636780\pi$
$60$	−2.90985	−	0.580027i	−0.375661	−	0.0748811i
$61$	−1.16902	−	3.98132i	−0.149678	−	0.509756i	0.850182	−	0.526489i	$-0.176492\pi$
$61$	−1.16902	−	3.98132i	−0.149678	−	0.509756i	−0.999860	+	0.0167328i	$0.994674\pi$
$62$	−0.313626	−	7.05532i	−0.0398305	−	0.896026i
$63$	−1.53392	+	1.77024i	−0.193256	+	0.223029i
$64$	0.987389	+	7.93883i	0.123424	+	0.992354i
$65$	−7.41000	+	6.42080i	−0.919098	+	0.796403i
$66$	4.52340	+	0.446438i	0.556792	+	0.0549527i
$67$	−3.55277	+	7.77948i	−0.434040	+	0.950415i	0.558614	+	0.829428i	$0.311333\pi$
$67$	−3.55277	+	7.77948i	−0.434040	+	0.950415i	−0.992654	+	0.120987i	$0.961394\pi$
$68$	−3.10692	−	7.90592i	−0.376770	−	0.958734i
$69$	−1.59531	−	4.52272i	−0.192053	−	0.544471i
$70$	4.82853	−	0.914724i	0.577120	−	0.109330i
$71$	3.24835	+	1.48347i	0.385509	+	0.176056i	0.598735	−	0.800947i	$-0.295670\pi$
$71$	3.24835	+	1.48347i	0.385509	+	0.176056i	−0.213227	+	0.977003i	$0.568397\pi$
$72$	−0.770961	−	2.72133i	−0.0908586	−	0.320711i
$73$	1.59896	+	1.84530i	0.187144	+	0.215975i	0.841567	−	0.540153i	$-0.181634\pi$
$73$	1.59896	+	1.84530i	0.187144	+	0.215975i	−0.654423	+	0.756129i	$0.727088\pi$
$74$	5.98862	−	5.67393i	0.696163	−	0.659581i
$75$	2.11540	+	1.83301i	0.244266	+	0.211657i
$76$	−0.880744	−	3.73386i	−0.101028	−	0.428303i
$77$	−7.22356	+	2.12103i	−0.823201	+	0.241714i
$78$	−8.66600	−	3.50132i	−0.981231	−	0.396447i
$79$	−1.28775	−	8.95651i	−0.144883	−	1.00769i	−0.924433	−	0.381345i	$-0.875461\pi$
$79$	−1.28775	−	8.95651i	−0.144883	−	1.00769i	0.779549	−	0.626341i	$-0.215448\pi$
$80$	−2.27534	+	5.48065i	−0.254391	+	0.612756i
$81$	0.415415	+	0.909632i	0.0461572	+	0.101070i
$82$	−10.4984	+	3.59622i	−1.15935	+	0.397136i
$83$	8.10326	+	5.20765i	0.889448	+	0.571614i	0.903643	−	0.428286i	$-0.140882\pi$
$83$	8.10326	+	5.20765i	0.889448	+	0.571614i	−0.0141952	+	0.999899i	$0.504519\pi$
$84$	2.87245	+	3.70077i	0.313410	+	0.403787i
$85$	0.896727	−	6.23688i	0.0972638	−	0.676484i
$86$	7.53722	+	4.38360i	0.812760	+	0.472696i
$87$	4.06030	+	6.31795i	0.435310	+	0.677355i
$88$	2.64417	−	8.69772i	0.281870	−	0.927180i
$89$	−3.71385	+	12.6482i	−0.393667	+	1.34071i	0.489644	+	0.871922i	$0.337127\pi$
$89$	−3.71385	+	12.6482i	−0.393667	+	1.34071i	−0.883312	+	0.468786i	$0.844692\pi$
$90$	0.501110	−	2.03733i	0.0528217	−	0.214754i
$91$	15.4808			1.62282
$92$	−9.49464	+	1.36081i	−0.989885	+	0.141875i
$93$	4.99379			0.517832
$94$	1.67278	−	6.80091i	0.172534	−	0.701460i
$95$	0.801724	−	2.73042i	0.0822552	−	0.280135i
$96$	−5.63907	+	0.448209i	−0.575535	+	0.0457452i
$97$	1.20320	+	1.87221i	0.122166	+	0.190094i	0.896950	−	0.442132i	$-0.145778\pi$
$97$	1.20320	+	1.87221i	0.122166	+	0.190094i	−0.774784	+	0.632226i	$0.782141\pi$
$98$	1.85005	+	1.07598i	0.186883	+	0.108690i
$99$	−0.457410	+	3.18135i	−0.0459714	+	0.319738i
$100$	4.42235	−	3.43252i	0.442235	−	0.343252i
$101$	4.81693	+	3.09565i	0.479302	+	0.308029i	0.757891	−	0.652382i	$-0.226230\pi$
$101$	4.81693	+	3.09565i	0.479302	+	0.308029i	−0.278588	+	0.960411i	$0.589866\pi$
$102$	5.68238	−	1.94650i	0.562639	−	0.192732i
$103$	7.88059	+	17.2561i	0.776498	+	1.70029i	0.711794	+	0.702388i	$0.247883\pi$
$103$	7.88059	+	17.2561i	0.776498	+	1.70029i	0.0647037	+	0.997905i	$0.479390\pi$
$104$	−10.2557	+	15.6287i	−1.00565	+	1.53252i
$105$	0.494546	+	3.43964i	0.0482627	+	0.335675i
$106$	−11.4911	−	4.64274i	−1.11611	−	0.450943i
$107$	−3.86248	+	1.13413i	−0.373400	+	0.109640i	−0.463048	−	0.886333i	$-0.653244\pi$
$107$	−3.86248	+	1.13413i	−0.373400	+	0.109640i	0.0896474	+	0.995974i	$0.471426\pi$
$108$	1.94658	−	0.459160i	0.187310	−	0.0441827i
$109$	3.66872	+	3.17897i	0.351400	+	0.304490i	0.812618	−	0.582797i	$-0.198042\pi$
$109$	3.66872	+	3.17897i	0.351400	+	0.304490i	−0.461218	+	0.887287i	$0.652587\pi$
$110$	4.89511	−	4.63788i	0.466731	−	0.442205i
$111$	3.82006	+	4.40859i	0.362585	+	0.418445i
$112$	8.38178	−	4.18716i	0.792004	−	0.395650i
$113$	−13.1111	−	5.98765i	−1.23339	−	0.563271i	−0.311326	−	0.950303i	$-0.600773\pi$
$113$	−13.1111	−	5.98765i	−1.23339	−	0.563271i	−0.922066	+	0.387032i	$0.873500\pi$
$114$	2.66529	−	0.504916i	0.249627	−	0.0472898i
$115$	−6.62071	−	2.60525i	−0.617385	−	0.242941i
$116$	13.9796	−	5.49378i	1.29797	−	0.510085i
$117$	2.74549	−	6.01179i	0.253821	−	0.555790i
$118$	−11.7127	−	1.15599i	−1.07824	−	0.106417i
$119$	−7.51865	+	6.51495i	−0.689234	+	0.597224i
$120$	−3.80013	−	1.77943i	−0.346903	−	0.162439i
$121$	0.438599	−	0.506170i	0.0398726	−	0.0460155i
$122$	−0.260595	−	5.86235i	−0.0235932	−	0.530752i
$123$	−2.21074	−	7.52908i	−0.199336	−	0.678874i
$124$	1.95243	−	9.79488i	0.175334	−	0.879606i
$125$	11.4526	−	1.64663i	1.02435	−	0.147279i
$126$	−2.70446	+	1.91292i	−0.240932	+	0.170416i
$127$	−14.6002	+	6.66769i	−1.29556	+	0.591662i	−0.939419	−	0.342771i	$-0.888635\pi$
$127$	−14.6002	+	6.66769i	−1.29556	+	0.591662i	−0.356140	+	0.934433i	$0.615907\pi$
$128$	−1.32560	+	11.2358i	−0.117167	+	0.993112i
$129$	−3.33330	+	5.18671i	−0.293480	+	0.456664i
$130$	−12.3448	+	6.31465i	−1.08271	+	0.553831i
$131$	−9.70906	−	1.39595i	−0.848285	−	0.121965i	−0.295555	−	0.955326i	$-0.595505\pi$
$131$	−9.70906	−	1.39595i	−0.848285	−	0.121965i	−0.552730	+	0.833361i	$0.686414\pi$
$132$	6.06112	+	2.14099i	0.527552	+	0.186349i
$133$	−3.77978	+	2.42912i	−0.327749	+	0.210631i
$134$	−7.50669	+	9.48338i	−0.648479	+	0.819239i
$135$	1.42346	+	0.417964i	0.122512	+	0.0359726i
$136$	−1.59624	−	11.9065i	−0.136876	−	1.02098i
$137$		−	8.56001i		−	0.731331i	−0.930746	−	0.365666i	$-0.880841\pi$
$137$		−	8.56001i		−	0.731331i	0.930746	−	0.365666i	$-0.119159\pi$
$138$	−0.663144	−	6.74983i	−0.0564506	−	0.574584i
$139$			16.2957i			1.38219i	0.722766	+	0.691093i	$0.242870\pi$
$139$			16.2957i			1.38219i	−0.722766	+	0.691093i	$0.757130\pi$
$140$	6.93991	+	0.374795i	0.586530	+	0.0316760i
$141$	4.75170	+	1.39522i	0.400165	+	0.117499i
$142$	3.95982	+	3.13445i	0.332301	+	0.263037i
$143$	17.8698	−	11.4842i	1.49435	−	0.960360i
$144$	−0.139543	−	3.99757i	−0.0116286	−	0.333130i
$145$	11.0283	+	1.58563i	0.915850	+	0.131679i
$146$	1.57252	+	3.07421i	0.130143	+	0.254423i
$147$	−0.818173	+	1.27310i	−0.0674818	+	0.105004i
$148$	10.1406	−	5.76909i	0.833553	−	0.474216i
$149$	−0.444193	+	0.202856i	−0.0363897	+	0.0166186i	−0.433527	−	0.901141i	$-0.642731\pi$
$149$	−0.444193	+	0.202856i	−0.0363897	+	0.0166186i	0.397137	+	0.917759i	$0.370004\pi$
$150$	2.28590	+	3.23177i	0.186643	+	0.263873i
$151$	−2.22176	+	0.319441i	−0.180805	+	0.0259958i	−0.232122	−	0.972687i	$-0.574567\pi$
$151$	−2.22176	+	0.319441i	−0.180805	+	0.0259958i	0.0513177	+	0.998682i	$0.483658\pi$
$152$	0.0517044	−	5.42514i	0.00419378	−	0.440037i
$153$	1.19659	+	4.07521i	0.0967385	+	0.329461i
$154$	−10.6364	+	0.472814i	−0.857107	+	0.0381005i
$155$	4.85156	−	5.59900i	0.389687	−	0.449722i
$156$	−10.7182	−	7.73549i	−0.858142	−	0.619335i
$157$	16.9652	−	14.7004i	1.35397	−	1.17322i	0.385902	−	0.922540i	$-0.373890\pi$
$157$	16.9652	−	14.7004i	1.35397	−	1.17322i	0.968069	−	0.250683i	$-0.0806553\pi$
$158$	1.25686	−	12.7348i	0.0999906	−	1.01313i
$159$	3.64051	−	7.97161i	0.288711	−	0.632190i
$160$	−4.97593	+	6.75793i	−0.393382	+	0.534261i
$161$	5.20643	+	9.95421i	0.410324	+	0.784502i
$162$	0.263229	+	1.38950i	0.0206812	+	0.109169i
$163$	−4.19833	−	1.91731i	−0.328839	−	0.150176i	0.244153	−	0.969737i	$-0.421490\pi$
$163$	−4.19833	−	1.91731i	−0.328839	−	0.150176i	−0.572992	+	0.819561i	$0.694217\pi$
$164$	−15.6320	+	1.39251i	−1.22065	+	0.108737i
$165$	3.12253	+	3.60359i	0.243089	+	0.280539i
$166$	9.36904	+	9.88868i	0.727179	+	0.767510i
$167$	11.8188	+	10.2410i	0.914565	+	0.792475i	0.978664	−	0.205468i	$-0.0658717\pi$
$167$	11.8188	+	10.2410i	0.914565	+	0.792475i	−0.0640985	+	0.997944i	$0.520417\pi$
$168$	2.69465	+	6.05245i	0.207897	+	0.466957i
$169$	−29.4366	+	8.64338i	−2.26436	+	0.664875i
$170$	3.33814	−	8.26210i	0.256024	−	0.633674i
$171$	0.272983	+	1.89864i	0.0208756	+	0.145193i
$172$	8.87006	+	8.56583i	0.676335	+	0.653138i
$173$	0.948594	+	2.07713i	0.0721203	+	0.157921i	0.942259	−	0.334886i	$-0.108698\pi$
$173$	0.948594	+	2.07713i	0.0721203	+	0.157921i	−0.870138	+	0.492808i	$0.835971\pi$
$174$	3.44188	+	10.0478i	0.260928	+	0.761723i
$175$	−5.51564	−	3.54469i	−0.416943	−	0.267953i
$176$	6.56909	−	11.0513i	0.495164	−	0.833022i
$177$	1.18440	−	8.23768i	0.0890249	−	0.619182i
$178$	−9.37246	+	16.1151i	−0.702495	+	1.20788i
$179$	3.22329	+	5.01554i	0.240920	+	0.374879i	0.940566	−	0.339610i	$-0.110295\pi$
$179$	3.22329	+	5.01554i	0.240920	+	0.374879i	−0.699646	+	0.714490i	$0.746659\pi$
$180$	1.37633	−	2.62857i	0.102586	−	0.195922i
$181$	−3.80130	+	12.9460i	−0.282548	+	0.962271i	0.688868	+	0.724887i	$0.258108\pi$
$181$	−3.80130	+	12.9460i	−0.282548	+	0.962271i	−0.971416	+	0.237384i	$0.923710\pi$
$182$	21.2595	+	5.22906i	1.57586	+	0.387603i
$183$	4.14940			0.306732
$184$	−13.4985	−	1.33830i	−0.995121	−	0.0986605i
$185$	8.65414			0.636265
$186$	6.85788	+	1.68679i	0.502845	+	0.123681i
$187$	−3.84592	+	13.0980i	−0.281242	+	0.957821i
$188$	4.59439	−	8.77455i	0.335080	−	0.639949i
$189$	−1.26638	−	1.97052i	−0.0921153	−	0.143334i
$190$	2.02327	−	3.47884i	0.146783	−	0.252381i
$191$	−2.09139	+	14.5459i	−0.151328	+	1.05251i	0.762670	+	0.646788i	$0.223888\pi$
$191$	−2.09139	+	14.5459i	−0.151328	+	1.05251i	−0.913997	+	0.405720i	$0.867021\pi$
$192$	−7.89543	−	1.28923i	−0.569804	−	0.0930425i
$193$	11.4643	+	7.36767i	0.825220	+	0.530337i	0.883756	−	0.467949i	$-0.155007\pi$
$193$	11.4643	+	7.36767i	0.825220	+	0.530337i	−0.0585355	+	0.998285i	$0.518643\pi$
$194$	1.01994	+	2.97749i	0.0732274	+	0.213771i
$195$	−4.07308	−	8.91880i	−0.291679	−	0.638688i
$196$	2.17720	+	2.10252i	0.155514	+	0.150180i
$197$	−0.930114	−	6.46908i	−0.0662679	−	0.460903i	−0.995755	−	0.0920476i	$-0.970659\pi$
$197$	−0.930114	−	6.46908i	−0.0662679	−	0.460903i	0.929487	−	0.368855i	$-0.120250\pi$
$198$	−1.70274	+	4.21440i	−0.121009	+	0.299504i
$199$	−15.6363	+	4.59125i	−1.10843	+	0.325465i	−0.784197	−	0.620512i	$-0.786925\pi$
$199$	−15.6363	+	4.59125i	−1.10843	+	0.325465i	−0.324234	+	0.945977i	$0.605107\pi$
$200$	7.23256	−	3.22006i	0.511419	−	0.227692i
$201$	−6.46342	−	5.60059i	−0.455895	−	0.395035i
$202$	5.56936	+	5.87826i	0.391859	+	0.413593i
$203$	−11.5200	−	13.2948i	−0.808545	−	0.933111i
$204$	8.46100	−	0.753713i	0.592388	−	0.0527704i
$205$	−10.5893	−	4.83598i	−0.739590	−	0.337760i
$206$	4.99356	+	26.3594i	0.347918	+	1.83655i
$207$	4.78897	−	0.256496i	0.332856	−	0.0178277i
$208$	−19.3630	+	17.9984i	−1.34258	+	1.24797i
$209$	−2.56108	+	5.60798i	−0.177154	+	0.387912i
$210$	−0.482683	+	4.89065i	−0.0333083	+	0.337487i
$211$	14.7755	−	12.8031i	1.01719	−	0.881400i	0.0242129	−	0.999707i	$-0.492292\pi$
$211$	14.7755	−	12.8031i	1.01719	−	0.881400i	0.992977	+	0.118307i	$0.0377466\pi$
$212$	−14.2123	−	10.2572i	−0.976103	−	0.704469i
$213$	−2.33855	+	2.69883i	−0.160235	+	0.184921i
$214$	−5.68737	+	0.252817i	−0.388780	+	0.0172822i
$215$	2.57694	+	8.77625i	0.175746	+	0.598536i
$216$	2.82830	+	0.0269551i	0.192441	+	0.00183407i
$217$	−11.5782	+	1.66469i	−0.785979	+	0.113007i
$218$	3.96441	+	5.60483i	0.268504	+	0.379607i
$219$	−2.22103	+	1.01431i	−0.150083	+	0.0685406i
$220$	8.28895	−	4.71566i	0.558841	−	0.317930i
$221$	15.1759	−	23.6142i	1.02084	−	1.58846i
$222$	3.75691	+	7.34457i	0.252147	+	0.492936i
$223$	0.775713	+	0.111531i	0.0519456	+	0.00746864i	0.168239	−	0.985746i	$-0.446192\pi$
$223$	0.775713	+	0.111531i	0.0519456	+	0.00746864i	−0.116293	+	0.993215i	$0.537101\pi$
$224$	12.9249	−	2.91898i	0.863580	−	0.195033i
$225$	−2.35473	+	1.51330i	−0.156982	+	0.100886i
$226$	−15.9828	−	12.6514i	−1.06316	−	0.841558i
$227$	11.5255	+	3.38418i	0.764971	+	0.224616i	0.640865	−	0.767653i	$-0.278576\pi$
$227$	11.5255	+	3.38418i	0.764971	+	0.224616i	0.124106	+	0.992269i	$0.460394\pi$
$228$	3.83075	+	0.206882i	0.253697	+	0.0137011i
$229$		−	20.6268i		−	1.36306i	−0.731790	−	0.681530i	$-0.761315\pi$
$229$		−	20.6268i		−	1.36306i	0.731790	−	0.681530i	$-0.238685\pi$
$230$	−8.21212	−	5.81408i	−0.541491	−	0.383369i
$231$		−	7.52851i		−	0.495340i
$232$	21.0536	−	2.82253i	1.38224	−	0.185308i
$233$	0.806856	+	0.236914i	0.0528589	+	0.0155208i	0.308055	−	0.951369i	$-0.400322\pi$
$233$	0.806856	+	0.236914i	0.0528589	+	0.0155208i	−0.255196	+	0.966889i	$0.582140\pi$
$234$	5.80099	−	7.32852i	0.379223	−	0.479081i
$235$	6.18068	−	3.97208i	0.403183	−	0.259110i
$236$	−15.6944	−	5.54380i	−1.02162	−	0.360871i
$237$	8.95651	+	1.28775i	0.581788	+	0.0836485i
$238$	−12.5258	+	6.40724i	−0.811930	+	0.415319i
$239$	3.82127	−	5.94601i	0.247177	−	0.384616i	−0.695389	−	0.718633i	$-0.744768\pi$
$239$	3.82127	−	5.94601i	0.247177	−	0.384616i	0.942567	+	0.334018i	$0.108404\pi$
$240$	−4.61761	−	3.72725i	−0.298065	−	0.240593i
$241$	−12.6028	+	5.75550i	−0.811817	+	0.370744i	−0.777670	−	0.628673i	$-0.783599\pi$
$241$	−12.6028	+	5.75550i	−0.811817	+	0.370744i	−0.0341466	+	0.999417i	$0.510871\pi$
$242$	0.773294	−	0.546966i	0.0497092	−	0.0351603i
$243$	−0.989821	+	0.142315i	−0.0634971	+	0.00912950i
$244$	1.62230	−	8.13869i	0.103857	−	0.521026i
$245$	0.632522	+	2.15417i	0.0404103	+	0.137625i
$246$	−0.492812	−	11.0863i	−0.0314206	−	0.706837i
$247$	8.30181	−	9.58080i	0.528232	−	0.609612i
$248$	5.98973	−	12.7917i	0.380349	−	0.812271i
$249$	−7.27965	+	6.30786i	−0.461329	+	0.399744i
$250$	16.2838	+	1.60713i	1.02988	+	0.101644i
$251$	5.17112	−	11.3232i	0.326398	−	0.714712i	−0.673298	−	0.739371i	$-0.735123\pi$
$251$	5.17112	−	11.3232i	0.326398	−	0.714712i	0.999696	+	0.0246591i	$0.00785004\pi$
$252$	−4.36012	+	1.71347i	−0.274662	+	0.107938i
$253$	13.3943	+	7.62806i	0.842095	+	0.479572i
$254$	−22.3024	+	4.22500i	−1.39938	+	0.265100i
$255$	5.73160	+	2.61753i	0.358927	+	0.163916i
$256$	−5.61562	+	14.9822i	−0.350976	+	0.936384i
$257$	13.1329	+	15.1561i	0.819205	+	0.945413i	0.999268	−	0.0382422i	$-0.0121758\pi$
$257$	13.1329	+	15.1561i	0.819205	+	0.945413i	−0.180064	+	0.983655i	$0.557630\pi$
$258$	−6.32952	+	5.99691i	−0.394058	+	0.373351i
$259$	−10.3265	−	8.94798i	−0.641658	−	0.556000i
$260$	−19.0859	+	4.50199i	−1.18366	+	0.279201i
$261$	−7.20595	+	2.11586i	−0.446037	+	0.130968i
$262$	−12.8618	−	5.19654i	−0.794603	−	0.321044i
$263$	−3.67852	−	25.5847i	−0.226827	−	1.57762i	−0.711348	−	0.702840i	$-0.751915\pi$
$263$	−3.67852	−	25.5847i	−0.226827	−	1.57762i	0.484521	−	0.874780i	$-0.338994\pi$
$264$	7.60045	+	4.98750i	0.467775	+	0.306959i
$265$	−5.40088	−	11.8263i	−0.331774	−	0.726483i
$266$	−6.01121	+	2.05914i	−0.368571	+	0.126254i
$267$	−11.0896	−	7.12683i	−0.678670	−	0.436155i
$268$	−13.5121	+	10.4878i	−0.825382	+	0.640643i
$269$	2.09888	−	14.5980i	0.127971	−	0.890057i	−0.820150	−	0.572148i	$-0.806110\pi$
$269$	2.09888	−	14.5980i	0.127971	−	0.890057i	0.948121	−	0.317909i	$-0.102981\pi$
$270$	1.81363	+	1.05480i	0.110374	+	0.0641928i
$271$	−13.8554	−	21.5595i	−0.841658	−	1.30965i	−0.948953	−	0.315418i	$-0.897855\pi$
$271$	−13.8554	−	21.5595i	−0.841658	−	1.30965i	0.107295	−	0.994227i	$-0.465781\pi$
$272$	1.82967	−	16.8902i	0.110940	−	1.02412i
$273$	−4.36143	+	14.8537i	−0.263966	+	0.898986i
$274$	2.89138	−	11.7553i	0.174675	−	0.710165i
$275$	−8.99643			−0.542505
$276$	1.36926	−	9.49343i	0.0824197	−	0.571437i
$277$	−23.1742			−1.39240			−0.696202	−	0.717846i	$-0.745128\pi$
$277$	−23.1742			−1.39240			−0.696202	+	0.717846i	$0.745128\pi$
$278$	−5.50433	+	22.3786i	−0.330128	+	1.34218i
$279$	−1.40691	+	4.79150i	−0.0842297	+	0.286860i
$280$	9.40386	+	2.85885i	0.561988	+	0.170849i
$281$	−6.64531	−	10.3403i	−0.396426	−	0.616851i	0.584463	−	0.811421i	$-0.301305\pi$
$281$	−6.64531	−	10.3403i	−0.396426	−	0.616851i	−0.980889	+	0.194570i	$0.937669\pi$
$282$	6.05415	+	3.52105i	0.360519	+	0.209676i
$283$	0.148711	−	1.03431i	0.00883995	−	0.0614832i	−0.984924	−	0.172988i	$-0.944658\pi$
$283$	0.148711	−	1.03431i	0.00883995	−	0.0614832i	0.993764	+	0.111505i	$0.0355670\pi$
$284$	4.37921	+	5.64203i	0.259858	+	0.334793i
$285$	2.39395	+	1.53850i	0.141805	+	0.0911328i
$286$	28.4194	−	9.73508i	1.68048	−	0.575647i
$287$	7.63548	+	16.7194i	0.450708	+	0.986913i
$288$	1.15866	−	5.53692i	0.0682745	−	0.326266i
$289$	0.147886	+	1.02857i	0.00869920	+	0.0605043i
$290$	14.6094	+	5.90263i	0.857892	+	0.346614i
$291$	−2.13535	+	0.626997i	−0.125177	+	0.0367552i
$292$	1.12112	+	4.75292i	0.0656085	+	0.278143i
$293$	−6.31293	−	5.47019i	−0.368805	−	0.319572i	0.450665	−	0.892693i	$-0.351187\pi$
$293$	−6.31293	−	5.47019i	−0.368805	−	0.319572i	−0.819470	+	0.573121i	$0.805732\pi$
$294$	−1.55361	+	1.47197i	−0.0906083	+	0.0858470i
$295$	−8.08536	−	9.33100i	−0.470748	−	0.543272i
$296$	15.8746	−	4.49732i	0.922692	−	0.261402i
$297$	−2.92362	−	1.33517i	−0.169646	−	0.0774746i
$298$	−0.678522	+	0.128540i	−0.0393058	+	0.00744614i
$299$	−22.0078	−	22.8097i	−1.27274	−	1.31912i
$300$	2.04756	+	5.21026i	0.118216	+	0.300815i
$301$	5.99931	−	13.1367i	0.345795	−	0.757184i
$302$	−3.15901	−	0.311779i	−0.181781	−	0.0179409i
$303$	−4.32734	+	3.74966i	−0.248599	+	0.215412i
$304$	1.90350	−	7.43279i	0.109173	−	0.426300i
$305$	4.03122	−	4.65228i	0.230827	−	0.266389i
$306$	0.266741	+	6.00060i	0.0152486	+	0.343031i
$307$	4.82371	+	16.4280i	0.275304	+	0.937598i	0.974822	+	0.222984i	$0.0715796\pi$
$307$	4.82371	+	16.4280i	0.275304	+	0.937598i	−0.699519	+	0.714614i	$0.746602\pi$
$308$	−14.7665	−	2.94344i	−0.841401	−	0.167718i
$309$	−18.7773	+	2.69977i	−1.06820	+	0.153585i
$310$	8.55378	−	6.05026i	0.485822	−	0.343632i
$311$	0.540564	−	0.246867i	0.0306526	−	0.0139986i	−0.400030	−	0.916502i	$-0.631000\pi$
$311$	0.540564	−	0.246867i	0.0306526	−	0.0139986i	0.430682	+	0.902504i	$0.358273\pi$
$312$	−12.1062	−	14.2434i	−0.685381	−	0.806373i
$313$	−0.703275	+	1.09432i	−0.0397515	+	0.0618545i	−0.860561	−	0.509348i	$-0.829887\pi$
$313$	−0.703275	+	1.09432i	−0.0397515	+	0.0618545i	0.820809	+	0.571203i	$0.193523\pi$
$314$	28.2635	−	14.4574i	1.59500	−	0.815878i
$315$	−3.43964	−	0.494546i	−0.193802	−	0.0278645i
$316$	6.02756	−	17.0639i	0.339077	−	0.959922i
$317$	7.32365	−	4.70662i	0.411337	−	0.264350i	−0.318566	−	0.947901i	$-0.603201\pi$
$317$	7.32365	−	4.70662i	0.411337	−	0.264350i	0.729903	+	0.683550i	$0.239565\pi$
$318$	7.69208	−	9.71759i	0.431351	−	0.544935i
$319$	−23.1604	−	6.80051i	−1.29673	−	0.380756i
$320$	−9.11604	+	7.59979i	−0.509602	+	0.424841i
$321$		−	4.02555i		−	0.224684i
$322$	3.78759	+	15.4286i	0.211074	+	0.859800i
$323$			8.14693i			0.453307i
$324$	−0.107854	+	1.99709i	−0.00599191	+	0.110949i
$325$	17.7499	+	5.21183i	0.984585	+	0.289100i
$326$	−5.11787	−	4.05112i	−0.283453	−	0.224371i
$327$	−4.08379	+	2.62450i	−0.225834	+	0.145135i
$328$	−21.9375	−	3.36782i	−1.21130	−	0.185957i
$329$	−11.4820	−	1.65086i	−0.633024	−	0.0910150i
$330$	3.07090	+	6.00347i	0.169048	+	0.330480i
$331$	−1.67581	+	2.60760i	−0.0921106	+	0.143327i	−0.884251	−	0.467012i	$-0.845330\pi$
$331$	−1.67581	+	2.60760i	−0.0921106	+	0.143327i	0.792140	+	0.610339i	$0.208967\pi$
$332$	9.52617	+	16.7446i	0.522816	+	0.918980i
$333$	−5.30625	+	2.42328i	−0.290781	+	0.132795i
$334$	12.7713	+	18.0560i	0.698817	+	0.987979i
$335$	−12.5587	+	1.80567i	−0.686154	+	0.0986540i
$336$	1.65613	+	9.22192i	0.0903495	+	0.503097i
$337$	5.57815	+	18.9974i	0.303861	+	1.03486i	0.959950	+	0.280172i	$0.0903916\pi$
$337$	5.57815	+	18.9974i	0.303861	+	1.03486i	−0.656088	+	0.754684i	$0.727790\pi$
$338$	−43.3444	+	1.92676i	−2.35762	+	0.104802i
$339$	9.43895	−	10.8931i	0.512653	−	0.591633i
$340$	7.37496	−	10.2187i	0.399964	−	0.554184i
$341$	−12.1301	+	10.5108i	−0.656880	+	0.569190i
$342$	−0.266435	+	2.69958i	−0.0144072	+	0.145976i
$343$	8.28393	−	18.1393i	0.447290	−	0.979428i
$344$	9.28775	+	14.7594i	0.500762	+	0.795774i
$345$	4.36499	−	5.61854i	0.235003	−	0.302492i
$346$	0.601080	+	3.17290i	0.0323142	+	0.170576i
$347$	−8.63193	−	3.94207i	−0.463386	−	0.211621i	0.170020	−	0.985441i	$-0.445617\pi$
$347$	−8.63193	−	3.94207i	−0.463386	−	0.211621i	−0.633407	+	0.773819i	$0.718344\pi$
$348$	1.33275	+	14.9611i	0.0714426	+	0.801998i
$349$	−2.67061	−	3.08204i	−0.142954	−	0.164978i	0.679757	−	0.733437i	$-0.262085\pi$
$349$	−2.67061	−	3.08204i	−0.142954	−	0.164978i	−0.822711	+	0.568459i	$0.807540\pi$
$350$	−6.37722	−	6.73092i	−0.340877	−	0.359783i
$351$	4.99478	+	4.32800i	0.266601	+	0.231011i
$352$	12.7541	−	12.9576i	0.679796	−	0.690645i
$353$	19.1996	−	5.63752i	1.02189	−	0.300055i	0.272483	−	0.962161i	$-0.412155\pi$
$353$	19.1996	−	5.63752i	1.02189	−	0.300055i	0.749411	+	0.662106i	$0.230337\pi$
$354$	4.40902	−	10.9126i	0.234337	−	0.579998i
$355$	0.753963	+	5.24393i	0.0400162	+	0.278319i
$356$	−18.3144	+	18.9648i	−0.970659	+	1.00513i
$357$	−4.13280	−	9.04957i	−0.218731	−	0.478954i
$358$	2.73236	+	7.97652i	0.144409	+	0.421572i
$359$	0.418363	+	0.268865i	0.0220803	+	0.0141902i	0.551634	−	0.834086i	$-0.314004\pi$
$359$	0.418363	+	0.268865i	0.0220803	+	0.0141902i	−0.529554	+	0.848276i	$0.677641\pi$
$360$	2.77797	−	3.14488i	0.146412	−	0.165750i
$361$	2.18036	−	15.1647i	0.114756	−	0.798142i
$362$	−9.59314	+	16.4946i	−0.504204	+	0.866936i
$363$	0.362099	+	0.563437i	0.0190053	+	0.0295728i
$364$	27.4290	+	14.3619i	1.43767	+	0.752771i
$365$	−1.02053	+	3.47562i	−0.0534172	+	0.181922i
$366$	5.69830	+	1.40157i	0.297855	+	0.0732615i
$367$	25.3143			1.32139			0.660697	−	0.750653i	$-0.270261\pi$
$367$	25.3143			1.32139			0.660697	+	0.750653i	$0.270261\pi$
$368$	−18.0852	−	6.39735i	−0.942756	−	0.333485i
$369$	7.84694			0.408495
$370$	11.8846	+	2.92318i	0.617850	+	0.151969i
$371$	−5.78324	+	19.6959i	−0.300251	+	1.02256i
$372$	8.84806	+	4.63288i	0.458750	+	0.240204i
$373$	12.2054	+	18.9920i	0.631972	+	0.983368i	0.998595	+	0.0529982i	$0.0168778\pi$
$373$	12.2054	+	18.9920i	0.631972	+	0.983368i	−0.366622	+	0.930370i	$0.619486\pi$
$374$	−9.70575	+	16.6882i	−0.501872	+	0.862926i
$375$	−1.64663	+	11.4526i	−0.0850316	+	0.591407i
$376$	9.27325	−	10.4981i	0.478231	−	0.541396i
$377$	41.7556	+	26.8347i	2.15052	+	1.38206i
$378$	−1.07350	−	3.13384i	−0.0552147	−	0.161187i
$379$	7.99190	+	17.4998i	0.410516	+	0.898905i	0.996095	+	0.0882894i	$0.0281400\pi$
$379$	7.99190	+	17.4998i	0.410516	+	0.898905i	−0.585579	+	0.810616i	$0.699133\pi$
$380$	3.95360	−	4.09401i	0.202815	−	0.210018i
$381$	−2.28425	−	15.8873i	−0.117026	−	0.813931i
$382$	−7.78537	+	19.2693i	−0.398334	+	0.985902i
$383$	−4.14308	+	1.21652i	−0.211701	+	0.0621611i	−0.385864	−	0.922556i	$-0.626096\pi$
$383$	−4.14308	+	1.21652i	−0.211701	+	0.0621611i	0.174162	+	0.984717i	$0.444278\pi$
$384$	−10.4072	−	4.43739i	−0.531090	−	0.226444i
$385$	−8.44091	−	7.31409i	−0.430189	−	0.372761i
$386$	13.2551	+	13.9903i	0.674668	+	0.712087i
$387$	−4.03751	−	4.65954i	−0.205238	−	0.236858i
$388$	0.394935	+	4.43345i	0.0200498	+	0.225074i
$389$	26.0578	+	11.9002i	1.32118	+	0.603364i	0.946174	−	0.323657i	$-0.104912\pi$
$389$	26.0578	+	11.9002i	1.32118	+	0.603364i	0.375009	+	0.927021i	$0.377640\pi$
$390$	−2.58092	−	13.6238i	−0.130690	−	0.689869i
$391$	20.2880	+	1.81636i	1.02601	+	0.0918574i
$392$	2.27972	+	3.62277i	0.115143	+	0.182977i
$393$	4.07477	−	8.92249i	0.205545	−	0.450080i
$394$	0.907803	−	9.19805i	0.0457345	−	0.463391i
$395$	10.1452	−	8.79090i	0.510462	−	0.442318i
$396$	−3.76188	+	5.21241i	−0.189042	+	0.261934i
$397$	24.9065	−	28.7436i	1.25002	−	1.44260i	0.399440	−	0.916760i	$-0.369205\pi$
$397$	24.9065	−	28.7436i	1.25002	−	1.44260i	0.850582	−	0.525842i	$-0.176250\pi$
$398$	−23.0239	+	1.02347i	−1.15409	+	0.0513019i
$399$	−1.26583	−	4.31104i	−0.0633710	−	0.215822i
$400$	11.0200	−	1.97905i	0.551001	−	0.0989524i
$401$	8.14559	−	1.17116i	0.406772	−	0.0584849i	0.0641077	−	0.997943i	$-0.479580\pi$
$401$	8.14559	−	1.17116i	0.406772	−	0.0584849i	0.342664	+	0.939458i	$0.388671\pi$
$402$	−6.98436	−	9.87439i	−0.348348	−	0.492490i
$403$	30.0216	−	13.7104i	1.49548	−	0.682964i
$404$	5.66277	+	9.95372i	0.281733	+	0.495216i
$405$	−0.802068	+	1.24804i	−0.0398551	+	0.0620157i
$406$	−11.3295	−	22.1487i	−0.562275	−	1.09922i
$407$	−18.5581	−	2.66825i	−0.919892	−	0.132260i
$408$	11.8739	+	1.82288i	0.587847	+	0.0902458i
$409$	−23.9160	+	15.3699i	−1.18257	+	0.759993i	−0.975858	−	0.218408i	$-0.929914\pi$
$409$	−23.9160	+	15.3699i	−1.18257	+	0.759993i	−0.206715	+	0.978401i	$0.566277\pi$
$410$	−12.9087	−	10.2180i	−0.637513	−	0.504632i
$411$	8.21327	+	2.41163i	0.405131	+	0.118957i
$412$	−2.04604	+	37.8856i	−0.100801	+	1.86649i
$413$			19.4940i			0.959239i
$414$	6.66325	+	1.26537i	0.327481	+	0.0621893i
$415$			14.2901i			0.701473i
$416$	−32.6704	+	18.1766i	−1.60180	+	0.891180i
$417$	−15.6356	−	4.59104i	−0.765680	−	0.224824i
$418$	−5.41134	+	6.83627i	−0.264677	+	0.334373i
$419$	−16.6999	+	10.7324i	−0.815843	+	0.524311i	−0.880750	−	0.473581i	$-0.842961\pi$
$419$	−16.6999	+	10.7324i	−0.815843	+	0.524311i	0.0649072	+	0.997891i	$0.479325\pi$
$420$	−2.31481	+	6.55320i	−0.112951	+	0.319764i
$421$	3.20665	+	0.461046i	0.156282	+	0.0224700i	0.220012	−	0.975497i	$-0.429390\pi$
$421$	3.20665	+	0.461046i	0.156282	+	0.0224700i	−0.0637295	+	0.997967i	$0.520299\pi$
$422$	24.6156	−	12.5914i	1.19827	−	0.612940i
$423$	−2.67742	+	4.16614i	−0.130180	+	0.202565i
$424$	−16.0528	−	18.8867i	−0.779594	−	0.917217i
$425$	−10.8141	+	4.93862i	−0.524559	+	0.239558i
$426$	−4.12309	+	2.91635i	−0.199765	+	0.141297i
$427$	−9.62047	+	1.38321i	−0.465567	+	0.0669384i
$428$	−7.89576	−	1.57388i	−0.381656	−	0.0760762i
$429$	5.98454	+	20.3815i	0.288936	+	0.984026i
$430$	0.574446	+	12.9227i	0.0277022	+	0.623189i
$431$	2.18370	−	2.52012i	0.105185	−	0.121390i	−0.700716	−	0.713440i	$-0.747136\pi$
$431$	2.18370	−	2.52012i	0.105185	−	0.121390i	0.805901	+	0.592050i	$0.201681\pi$
$432$	3.87495	+	0.992353i	0.186434	+	0.0477446i
$433$	−24.8040	+	21.4928i	−1.19200	+	1.03288i	−0.193342	+	0.981131i	$0.561933\pi$
$433$	−24.8040	+	21.4928i	−1.19200	+	1.03288i	−0.998660	+	0.0517449i	$0.983522\pi$
$434$	−16.4624	−	1.62476i	−0.790222	−	0.0779911i
$435$	−4.62843	+	10.1349i	−0.221916	+	0.485929i
$436$	3.55107	+	9.03611i	0.170065	+	0.432751i
$437$	8.95254	+	2.11593i	0.428258	+	0.101219i
$438$	−3.39271	+	0.642720i	−0.162110	+	0.0307103i
$439$	−27.0531	−	12.3548i	−1.29118	−	0.589660i	−0.352937	−	0.935647i	$-0.614817\pi$
$439$	−27.0531	−	12.3548i	−1.29118	−	0.589660i	−0.938239	+	0.345987i	$0.887544\pi$
$440$	12.9759	−	3.67612i	0.618603	−	0.175252i
$441$	−0.991026	−	1.14371i	−0.0471917	−	0.0544622i
$442$	28.8172	−	27.3029i	1.37069	−	1.29867i
$443$	30.7999	+	26.6882i	1.46335	+	1.26800i	0.895651	+	0.444757i	$0.146710\pi$
$443$	30.7999	+	26.6882i	1.46335	+	1.26800i	0.567695	+	0.823239i	$0.307835\pi$
$444$	2.67846	+	11.3552i	0.127114	+	0.538893i
$445$	−18.7643	+	5.50969i	−0.889512	+	0.261184i
$446$	1.02760	+	0.415182i	0.0486583	+	0.0196594i
$447$	−0.0694954	−	0.483351i	−0.00328702	−	0.0228617i
$448$	18.7355	+	0.357150i	0.885169	+	0.0168738i
$449$	−13.2847	−	29.0894i	−0.626943	−	1.37281i	−0.910360	−	0.413818i	$-0.864195\pi$
$449$	−13.2847	−	29.0894i	−0.626943	−	1.37281i	0.283416	−	0.958997i	$-0.408532\pi$
$450$	−3.74488	+	1.28281i	−0.176535	+	0.0604721i
$451$	21.2169	+	13.6353i	0.999066	+	0.642061i
$452$	−17.6756	−	22.7726i	−0.831388	−	1.07113i
$453$	0.319441	−	2.22176i	0.0150087	−	0.104388i
$454$	14.6846	+	8.54048i	0.689183	+	0.400824i
$455$	12.4166	+	19.3206i	0.582100	+	0.905765i
$456$	5.19082	+	1.57805i	0.243082	+	0.0738989i
$457$	2.38748	−	8.13101i	0.111682	−	0.380353i	−0.884616	−	0.466319i	$-0.845580\pi$
$457$	2.38748	−	8.13101i	0.111682	−	0.380353i	0.996298	+	0.0859668i	$0.0273979\pi$
$458$	6.96729	−	28.3265i	0.325560	−	1.32361i
$459$	−4.24725			−0.198245
$460$	−9.31370	−	10.7582i	−0.434253	−	0.501606i
$461$	−2.08733			−0.0972167			−0.0486084	−	0.998818i	$-0.515479\pi$
$461$	−2.08733			−0.0972167			−0.0486084	+	0.998818i	$0.515479\pi$
$462$	2.54296	−	10.3388i	0.118309	−	0.481004i
$463$	2.50950	−	8.54657i	0.116626	−	0.397193i	−0.880402	−	0.474228i	$-0.842727\pi$
$463$	2.50950	−	8.54657i	0.116626	−	0.397193i	0.997028	+	0.0770352i	$0.0245454\pi$
$464$	29.8659	+	3.23530i	1.38649	+	0.150195i
$465$	4.00536	+	6.23246i	0.185744	+	0.289023i
$466$	1.02802	+	0.597888i	0.0476220	+	0.0276966i
$467$	4.28273	−	29.7871i	0.198181	−	1.37838i	−0.611376	−	0.791340i	$-0.709384\pi$
$467$	4.28273	−	29.7871i	0.198181	−	1.37838i	0.809558	−	0.587040i	$-0.199707\pi$
$468$	10.4418	−	8.10469i	0.482673	−	0.374640i
$469$	16.8526	+	10.8305i	0.778179	+	0.500105i
$470$	9.82950	−	3.36709i	0.453401	−	0.155312i
$471$	9.32532	+	20.4196i	0.429688	+	0.940885i
$472$	−19.6803	−	12.9144i	−0.905860	−	0.594435i
$473$	−2.82014	−	19.6145i	−0.129670	−	0.901876i
$474$	11.8649	+	4.79376i	0.544971	+	0.220185i
$475$	−5.15161	+	1.51265i	−0.236372	+	0.0694051i
$476$	−19.3657	+	4.56800i	−0.887628	+	0.209374i
$477$	6.62305	+	5.73891i	0.303249	+	0.262766i
$478$	7.25612	−	6.87482i	0.331887	−	0.314447i
$479$	12.1092	+	13.9748i	0.553283	+	0.638523i	0.961645	−	0.274297i	$-0.0884452\pi$
$479$	12.1092	+	13.9748i	0.553283	+	0.638523i	−0.408362	+	0.912820i	$0.633900\pi$
$480$	−5.08230	−	6.67830i	−0.231974	−	0.304821i
$481$	35.0692	+	16.0156i	1.59902	+	0.730247i
$482$	−19.2513	+	3.64699i	−0.876871	+	0.166116i
$483$	−11.0178	+	2.19111i	−0.501328	+	0.0996988i
$484$	1.24670	−	0.489938i	0.0566684	−	0.0222699i
$485$	−1.37155	+	3.00328i	−0.0622790	+	0.136372i
$486$	−1.40738	−	0.138901i	−0.0638399	−	0.00630068i
$487$	32.0873	−	27.8038i	1.45401	−	1.25991i	0.548122	−	0.836398i	$-0.315343\pi$
$487$	32.0873	−	27.8038i	1.45401	−	1.25991i	0.905891	−	0.423511i	$-0.139203\pi$
$488$	4.97694	−	10.6287i	0.225296	−	0.481141i
$489$	3.02245	−	3.48810i	0.136680	−	0.157737i
$490$	0.141000	+	3.17194i	0.00636974	+	0.143294i
$491$	0.265637	+	0.904677i	0.0119880	+	0.0408275i	0.965270	−	0.261255i	$-0.0841364\pi$
$491$	0.265637	+	0.904677i	0.0119880	+	0.0408275i	−0.953282	+	0.302083i	$0.902318\pi$
$492$	3.06793	−	15.3911i	0.138313	−	0.693884i
$493$	−31.5729	+	4.53950i	−1.42197	+	0.204449i
$494$	14.6369	−	10.3530i	0.658546	−	0.465803i
$495$	−4.33734	+	1.98080i	−0.194949	+	0.0890301i
$496$	12.5463	−	15.5434i	0.563347	−	0.697918i
$497$	4.52231	−	7.03685i	0.202853	−	0.315646i
$498$	−12.1277	+	6.20357i	−0.543454	+	0.277988i
$499$	−7.31712	−	1.05204i	−0.327559	−	0.0470959i	−0.0234265	−	0.999726i	$-0.507458\pi$
$499$	−7.31712	−	1.05204i	−0.327559	−	0.0470959i	−0.304133	+	0.952630i	$0.598367\pi$
$500$	21.8194	+	7.70735i	0.975793	+	0.344683i
$501$	−13.1559	+	8.45481i	−0.587764	+	0.377733i
$502$	10.9261	−	13.8032i	0.487657	−	0.616068i
$503$	15.5934	+	4.57863i	0.695274	+	0.204151i	0.610228	−	0.792226i	$-0.291078\pi$
$503$	15.5934	+	4.57863i	0.695274	+	0.204151i	0.0850466	+	0.996377i	$0.472896\pi$
$504$	−6.56645	+	0.880326i	−0.292493	+	0.0392128i
$505$			8.49465i			0.378007i
$506$	15.8176	+	14.9998i	0.703179	+	0.666822i
$507$		−	30.6794i		−	1.36252i
$508$	−32.0546	−	1.73114i	−1.42219	−	0.0768068i
$509$	14.8241	+	4.35275i	0.657067	+	0.192932i	0.593236	−	0.805029i	$-0.297850\pi$
$509$	14.8241	+	4.35275i	0.657067	+	0.192932i	0.0638305	+	0.997961i	$0.479668\pi$
$510$	6.98697	+	5.53062i	0.309388	+	0.244900i
$511$	4.81137	−	3.09208i	0.212843	−	0.136786i
$512$	−12.7725	+	18.6779i	−0.564469	+	0.825455i
$513$	−1.89864	−	0.272983i	−0.0838270	−	0.0120525i
$514$	12.9157	+	25.2496i	0.569688	+	1.11371i
$515$	−15.2156	+	23.6759i	−0.670477	+	1.04328i
$516$	−10.7178	+	6.09748i	−0.471826	+	0.268427i
$517$	−14.4786	+	6.61217i	−0.636770	+	0.290803i
$518$	−11.1588	−	15.7762i	−0.490290	−	0.693165i
$519$	−2.26024	+	0.324974i	−0.0992137	+	0.0142648i
$520$	−27.7310	−	0.264291i	−1.21609	−	0.0115899i
$521$	−1.35323	−	4.60869i	−0.0592862	−	0.201910i	0.924524	−	0.381124i	$-0.124463\pi$
$521$	−1.35323	−	4.60869i	−0.0592862	−	0.201910i	−0.983810	+	0.179214i	$0.942645\pi$
$522$	−10.6105	+	0.471662i	−0.464409	+	0.0206441i
$523$	−25.8296	+	29.8090i	−1.12945	+	1.30346i	−0.182092	+	0.983281i	$0.558287\pi$
$523$	−25.8296	+	29.8090i	−1.12945	+	1.30346i	−0.947359	+	0.320174i	$0.896259\pi$
$524$	−15.9076	−	11.4807i	−0.694926	−	0.501539i
$525$	4.95504	−	4.29357i	0.216256	−	0.187387i
$526$	3.59028	−	36.3775i	0.156544	−	1.58614i
$527$	−8.81090	+	19.2932i	−0.383809	+	0.840424i
$528$	8.75290	+	9.41651i	0.380921	+	0.409801i
$529$	7.26519	−	21.8224i	0.315878	−	0.948800i
$530$	−3.42228	−	18.0651i	−0.148655	−	0.784699i
$531$	7.57031	+	3.45724i	0.328523	+	0.150032i
$532$	−8.95063	+	0.797329i	−0.388059	+	0.0345686i
$533$	−33.9615	−	39.1937i	−1.47104	−	1.69767i
$534$	−12.8218	−	13.5330i	−0.554855	−	0.585628i
$535$	−4.51341	−	3.91089i	−0.195132	−	0.169083i
$536$	−22.0985	+	9.83859i	−0.954508	+	0.424963i
$537$	−5.72049	+	1.67969i	−0.246857	+	0.0724838i
$538$	7.81324	−	19.3383i	0.336853	−	0.833732i
$539$	−0.692216	−	4.81447i	−0.0298159	−	0.207374i
$540$	2.13434	+	2.06114i	0.0918473	+	0.0886972i
$541$	16.1367	+	35.3345i	0.693773	+	1.51915i	0.847362	+	0.531016i	$0.178190\pi$
$541$	16.1367	+	35.3345i	0.693773	+	1.51915i	−0.153589	+	0.988135i	$0.549083\pi$
$542$	−11.7451	−	34.2873i	−0.504496	−	1.47277i
$543$	−11.3507	−	7.29464i	−0.487104	−	0.313043i
$544$	8.21779	−	22.5770i	0.352335	−	0.967981i
$545$	−1.02492	+	7.12847i	−0.0439027	+	0.305350i
$546$	−11.0067	+	18.9251i	−0.471044	+	0.809920i
$547$	12.7705	+	19.8712i	0.546025	+	0.849632i	0.999125	−	0.0418280i	$-0.0133182\pi$
$547$	12.7705	+	19.8712i	0.546025	+	0.849632i	−0.453100	+	0.891460i	$0.649682\pi$
$548$	7.94137	−	15.1667i	0.339239	−	0.647891i
$549$	−1.16902	+	3.98132i	−0.0498926	+	0.169919i
$550$	−12.3546	−	3.03879i	−0.526804	−	0.129575i
$551$	−14.4057			−0.613705
$552$	5.08705	−	12.5747i	0.216519	−	0.535213i
$553$	−21.1951			−0.901309
$554$	−31.8248	−	7.82774i	−1.35210	−	0.332569i
$555$	−2.43815	+	8.30359i	−0.103494	+	0.352468i
$556$	−15.1180	+	28.8730i	−0.641147	+	1.22449i
$557$	16.9850	+	26.4291i	0.719676	+	1.11984i	0.987690	+	0.156423i	$0.0499963\pi$
$557$	16.9850	+	26.4291i	0.719676	+	1.11984i	−0.268014	+	0.963415i	$0.586367\pi$
$558$	−3.55055	+	6.10487i	−0.150307	+	0.258440i
$559$	−5.79901	+	40.3330i	−0.245272	+	1.70590i
$560$	11.9485	+	7.10242i	0.504917	+	0.300132i
$561$	−11.4839	−	7.38027i	−0.484851	−	0.311595i
$562$	−5.63317	−	16.4448i	−0.237621	−	0.693682i
$563$	−10.3325	−	22.6250i	−0.435462	−	0.953528i	−0.992409	−	0.122980i	$-0.960755\pi$
$563$	−10.3325	−	22.6250i	−0.435462	−	0.953528i	0.556947	−	0.830548i	$-0.311973\pi$
$564$	7.12472	+	6.88036i	0.300005	+	0.289715i
$565$	−3.04318	−	21.1658i	−0.128027	−	0.890450i
$566$	0.553588	−	1.37017i	0.0232690	−	0.0575924i
$567$	2.24748	−	0.659920i	0.0943853	−	0.0277140i
$568$	4.10814	+	9.22730i	0.172374	+	0.387169i
$569$	−28.5953	−	24.7779i	−1.19878	−	1.03874i	−0.998255	−	0.0590552i	$-0.981191\pi$
$569$	−28.5953	−	24.7779i	−1.19878	−	1.03874i	−0.200521	−	0.979689i	$-0.564263\pi$
$570$	2.76790	+	2.92142i	0.115935	+	0.122365i
$571$	−14.7611	−	17.0352i	−0.617731	−	0.712900i	0.357543	−	0.933897i	$-0.383614\pi$
$571$	−14.7611	−	17.0352i	−0.617731	−	0.712900i	−0.975275	+	0.220997i	$0.929069\pi$
$572$	42.3162	−	3.76956i	1.76933	−	0.157613i
$573$	−13.3675	−	6.10474i	−0.558436	−	0.255029i
$574$	4.83825	+	25.5395i	0.201944	+	1.06600i
$575$	2.61833	+	13.1661i	0.109192	+	0.549064i
$576$	3.46141	−	7.21239i	0.144226	−	0.300516i
$577$	9.64730	−	21.1246i	0.401623	−	0.879431i	−0.595481	−	0.803370i	$-0.703038\pi$
$577$	9.64730	−	21.1246i	0.401623	−	0.879431i	0.997103	−	0.0760610i	$-0.0242344\pi$
$578$	−0.144339	+	1.46247i	−0.00600371	+	0.0608309i
$579$	−10.2991	+	8.92423i	−0.428016	+	0.370878i
$580$	18.0690	+	13.0407i	0.750276	+	0.541486i
$581$	14.7753	−	17.0516i	0.612982	−	0.707419i
$582$	−3.14423	+	0.139769i	−0.130333	+	0.00579360i
$583$	7.93547	+	27.0257i	0.328653	+	1.11929i
$584$	−0.0658157	+	6.90579i	−0.00272347	+	0.285764i
$585$	9.70504	−	1.39537i	0.401254	−	0.0576916i
$586$	−6.82173	−	9.64448i	−0.281803	−	0.398410i
$587$	4.58670	−	2.09468i	0.189314	−	0.0864566i	−0.318503	−	0.947922i	$-0.603180\pi$
$587$	4.58670	−	2.09468i	0.189314	−	0.0864566i	0.507816	+	0.861465i	$0.330453\pi$
$588$	−2.63074	+	1.49666i	−0.108490	+	0.0617210i
$589$	−5.17875	+	8.05829i	−0.213387	+	0.332036i
$590$	−7.95168	−	15.5452i	−0.327365	−	0.639984i
$591$	6.46908	+	0.930114i	0.266103	+	0.0382598i
$592$	23.3194	−	0.814012i	0.958421	−	0.0334557i
$593$	4.27509	−	2.74744i	0.175557	−	0.112824i	−0.449911	−	0.893073i	$-0.648544\pi$
$593$	4.27509	−	2.74744i	0.175557	−	0.112824i	0.625468	+	0.780250i	$0.284908\pi$
$594$	−3.56397	−	2.82110i	−0.146231	−	0.115751i
$595$	−14.1614	−	4.15816i	−0.580561	−	0.170468i
$596$	−0.975221	−	0.0526676i	−0.0399466	−	0.00215735i
$597$		−	16.2965i		−	0.666970i
$598$	−22.5183	−	38.7579i	−0.920842	−	1.58493i
$599$			6.47662i			0.264628i	0.991208	+	0.132314i	$0.0422406\pi$
$599$			6.47662i			0.264628i	−0.991208	+	0.132314i	$0.957759\pi$
$600$	1.05197	+	7.84679i	0.0429466	+	0.320344i
$601$	−32.9152	−	9.66478i	−1.34264	−	0.394235i	−0.470029	−	0.882651i	$-0.655757\pi$
$601$	−32.9152	−	9.66478i	−1.34264	−	0.394235i	−0.872611	+	0.488416i	$0.837575\pi$
$602$	12.6760	−	16.0139i	0.516636	−	0.652679i
$603$	7.19468	−	4.62374i	0.292990	−	0.188293i
$604$	−4.23290	−	1.49520i	−0.172234	−	0.0608390i
$605$	0.983508	+	0.141407i	0.0399853	+	0.00574902i
$606$	−7.20922	+	3.68767i	−0.292854	+	0.149801i
$607$	14.4425	−	22.4729i	0.586201	−	0.912147i	−0.413797	−	0.910369i	$-0.635798\pi$
$607$	14.4425	−	22.4729i	0.586201	−	0.912147i	0.999998	−	0.00177799i	$-0.000565952\pi$
$608$	5.12467	−	9.56437i	0.207833	−	0.387886i
$609$	16.0018	−	7.30778i	0.648426	−	0.296126i
$610$	7.10744	−	5.02723i	0.287772	−	0.203547i
$611$	32.3968	−	4.65795i	1.31063	−	0.188441i
$612$	−1.66056	+	8.33062i	−0.0671240	+	0.336745i
$613$	−2.12363	−	7.23241i	−0.0857725	−	0.292114i	0.905425	−	0.424506i	$-0.139552\pi$
$613$	−2.12363	−	7.23241i	−0.0857725	−	0.292114i	−0.991197	+	0.132392i	$0.957734\pi$
$614$	1.07529	+	24.1897i	0.0433952	+	0.976217i
$615$	7.62345	−	8.79793i	0.307407	−	0.354767i
$616$	−19.2844	−	9.02998i	−0.776990	−	0.363828i
$617$	−18.4862	+	16.0184i	−0.744225	+	0.644875i	−0.942092	−	0.335354i	$-0.891144\pi$
$617$	−18.4862	+	16.0184i	−0.744225	+	0.644875i	0.197867	+	0.980229i	$0.436599\pi$
$618$	−26.6985	−	2.63501i	−1.07397	−	0.105996i
$619$	11.4620	−	25.0982i	0.460696	−	1.00878i	−0.526632	−	0.850093i	$-0.676546\pi$
$619$	11.4620	−	25.0982i	0.460696	−	1.00878i	0.987328	−	0.158691i	$-0.0507272\pi$
$620$	13.7904	−	5.41944i	0.553836	−	0.217650i
$621$	−1.10310	+	4.66724i	−0.0442660	+	0.187290i
$622$	0.825734	−	0.156428i	0.0331089	−	0.00627220i
$623$	28.0871	+	12.8270i	1.12529	+	0.513901i
$624$	−11.8142	−	23.6494i	−0.472946	−	0.946734i
$625$	2.07576	+	2.39555i	0.0830302	+	0.0958220i
$626$	−1.33543	+	1.26526i	−0.0533746	+	0.0505699i
$627$	−4.65928	−	4.03729i	−0.186074	−	0.161234i
$628$	43.6972	−	10.3073i	1.74371	−	0.411306i
$629$	−23.7723	+	6.98018i	−0.947865	+	0.278318i
$630$	−4.55655	−	1.84099i	−0.181537	−	0.0733466i
$631$	−4.81613	−	33.4969i	−0.191727	−	1.33349i	−0.827435	−	0.561562i	$-0.810201\pi$
$631$	−4.81613	−	33.4969i	−0.191727	−	1.33349i	0.635708	−	0.771930i	$-0.280708\pi$
$632$	14.0414	−	21.3976i	0.558535	−	0.851153i
$633$	8.12171	+	17.7841i	0.322809	+	0.706853i
$634$	11.6472	−	3.98976i	0.462571	−	0.158454i
$635$	−20.0319	−	12.8737i	−0.794942	−	0.510879i
$636$	13.8458	−	10.7468i	0.549021	−	0.426138i
$637$	−1.42339	+	9.89991i	−0.0563969	+	0.392249i
$638$	−29.5087	−	17.1621i	−1.16826	−	0.679454i
$639$	−1.93066	−	3.00417i	−0.0763758	−	0.118843i
$640$	−15.0859	+	7.35746i	−0.596324	+	0.290829i
$641$	−10.5557	+	35.9493i	−0.416923	+	1.41991i	0.436976	+	0.899473i	$0.356049\pi$
$641$	−10.5557	+	35.9493i	−0.416923	+	1.41991i	−0.853900	+	0.520438i	$0.825769\pi$
$642$	1.35974	−	5.52821i	0.0536647	−	0.218181i
$643$	−0.709360			−0.0279744			−0.0139872	−	0.999902i	$-0.504452\pi$
$643$	−0.709360			−0.0279744			−0.0139872	+	0.999902i	$0.504452\pi$
$644$	−0.00999282	+	22.4671i	−0.000393772	+	0.885330i
$645$	−9.14676			−0.360153
$646$	−2.75185	+	11.1880i	−0.108270	+	0.440187i
$647$	2.16146	−	7.36124i	0.0849756	−	0.289400i	−0.906031	−	0.423211i	$-0.860903\pi$
$647$	2.16146	−	7.36124i	0.0849756	−	0.289400i	0.991007	+	0.133810i	$0.0427213\pi$
$648$	−0.822687	+	2.70614i	−0.0323182	+	0.106307i
$649$	14.4615	+	22.5025i	0.567662	+	0.883299i
$650$	22.6152	+	13.1528i	0.887039	+	0.515896i
$651$	1.66469	−	11.5782i	0.0652445	−	0.453785i
$652$	−5.65991	−	7.29203i	−0.221659	−	0.285578i
$653$	30.8430	+	19.8216i	1.20698	+	0.775678i	0.980150	−	0.198257i	$-0.0635280\pi$
$653$	30.8430	+	19.8216i	1.20698	+	0.775678i	0.226828	+	0.973935i	$0.427164\pi$
$654$	−6.49470	+	2.22476i	−0.253963	+	0.0869950i
$655$	−6.04512	−	13.2370i	−0.236202	−	0.517211i
$656$	−28.9888	−	12.0350i	−1.13182	−	0.469887i
$657$	−0.347487	−	2.41682i	−0.0135567	−	0.0942892i
$658$	−15.2104	−	6.14547i	−0.592964	−	0.239575i
$659$	28.8153	−	8.46092i	1.12248	−	0.329591i	0.332734	−	0.943021i	$-0.392029\pi$
$659$	28.8153	−	8.46092i	1.12248	−	0.329591i	0.789749	+	0.613430i	$0.210211\pi$
$660$	2.18938	+	9.28175i	0.0852215	+	0.361291i
$661$	−29.2698	−	25.3625i	−1.13846	−	0.986485i	−0.138472	−	0.990366i	$-0.544219\pi$
$661$	−29.2698	−	25.3625i	−1.13846	−	0.986485i	−0.999992	+	0.00388108i	$0.998765\pi$
$662$	−3.18215	+	3.01493i	−0.123678	+	0.117179i
$663$	18.3821	+	21.2141i	0.713902	+	0.823886i
$664$	7.42617	+	26.2128i	0.288191	+	1.01725i
$665$	−6.06328	−	2.76901i	−0.235124	−	0.107378i
$666$	−8.10551	+	1.53552i	−0.314082	+	0.0595002i
$667$	−3.21177	+	35.8740i	−0.124360	+	1.38905i
$668$	11.4398	+	29.1098i	0.442618	+	1.12629i
$669$	−0.325556	+	0.712869i	−0.0125867	+	0.0275611i
$670$	−17.8565	−	1.76235i	−0.689858	−	0.0680856i
$671$	−10.0790	+	8.73352i	−0.389096	+	0.337154i
$672$	−0.840618	+	13.2237i	−0.0324276	+	0.510116i
$673$	24.5372	−	28.3174i	0.945838	−	1.09156i	−0.0498470	−	0.998757i	$-0.515873\pi$
$673$	24.5372	−	28.3174i	0.945838	−	1.09156i	0.995685	−	0.0927983i	$-0.0295812\pi$
$674$	1.24347	+	27.9730i	0.0478966	+	1.07748i
$675$	−0.788592	−	2.68570i	−0.0303529	−	0.103372i
$676$	−60.1749	−	11.9948i	−2.31442	−	0.461338i
$677$	−28.1900	+	4.05311i	−1.08343	+	0.155774i	−0.660825	−	0.750540i	$-0.729793\pi$
$677$	−28.1900	+	4.05311i	−1.08343	+	0.155774i	−0.422605	+	0.906314i	$0.638884\pi$
$678$	16.6418	−	11.7711i	0.639124	−	0.452065i
$679$	4.74185	−	2.16553i	0.181976	−	0.0831055i
$680$	13.5795	−	11.5420i	0.520752	−	0.442616i
$681$	−6.49419	+	10.1052i	−0.248858	+	0.387230i
$682$	−20.2083	+	10.3370i	−0.773817	+	0.395824i
$683$	32.5597	+	4.68138i	1.24586	+	0.179128i	0.733528	−	0.679659i	$-0.237872\pi$
$683$	32.5597	+	4.68138i	1.24586	+	0.179128i	0.512333	+	0.858787i	$0.328781\pi$
$684$	−1.27775	+	3.61729i	−0.0488559	+	0.138310i
$685$	10.6833	−	6.86571i	0.408186	−	0.262325i
$686$	17.5032	−	22.1122i	0.668276	−	0.844249i
$687$	19.7913	+	5.81125i	0.755086	+	0.221713i
$688$	7.76931	+	23.4061i	0.296202	+	0.892347i
$689$		−	57.9186i		−	2.20652i
$690$	7.89219	−	6.24146i	0.300450	−	0.237608i
$691$			6.61192i			0.251529i	0.992060	+	0.125765i	$0.0401384\pi$
$691$			6.61192i			0.251529i	−0.992060	+	0.125765i	$0.959862\pi$
$692$	−0.246284	+	4.56033i	−0.00936231	+	0.173358i
$693$	7.22356	+	2.12103i	0.274400	+	0.0805712i
$694$	−10.5225	−	8.32925i	−0.399430	−	0.316174i
$695$	−20.3377	+	13.0703i	−0.771455	+	0.495784i
$696$	−3.22328	+	20.9960i	−0.122178	+	0.795850i
$697$	32.9887	+	4.74306i	1.24954	+	0.179656i
$698$	−2.62645	−	5.13459i	−0.0994127	−	0.194347i
$699$	−0.454635	+	0.707426i	−0.0171959	+	0.0267573i
$700$	−6.48417	−	11.3975i	−0.245079	−	0.430787i
$701$	−30.2597	+	13.8191i	−1.14289	+	0.521941i	−0.894655	−	0.446758i	$-0.852578\pi$
$701$	−30.2597	+	13.8191i	−1.14289	+	0.521941i	−0.248237	+	0.968699i	$0.579851\pi$
$702$	5.39734	+	7.63069i	0.203710	+	0.288002i
$703$	−11.0755	+	1.59242i	−0.417722	+	0.0600593i
$704$	21.8918	−	13.4865i	0.825078	−	0.508290i
$705$	2.06988	+	7.04938i	0.0779564	+	0.265495i
$706$	28.2708	−	1.25670i	1.06398	−	0.0472966i
$707$	8.78307	−	10.1362i	0.330321	−	0.381211i
$708$	9.74086	−	13.4968i	0.366084	−	0.507241i
$709$	11.1559	−	9.66668i	0.418970	−	0.363040i	−0.419715	−	0.907656i	$-0.637870\pi$
$709$	11.1559	−	9.66668i	0.418970	−	0.363040i	0.838685	+	0.544616i	$0.183325\pi$
$710$	−0.735877	+	7.45607i	−0.0276170	+	0.279821i
$711$	−3.75893	+	8.23091i	−0.140971	+	0.308683i
$712$	−31.5567	+	19.8579i	−1.18264	+	0.744206i
$713$	18.9126	+	14.6930i	0.708283	+	0.550258i
$714$	−2.61876	−	13.8236i	−0.0980046	−	0.517335i
$715$	28.6656	+	13.0912i	1.07203	+	0.489581i
$716$	1.05801	+	11.8769i	0.0395396	+	0.443862i
$717$	4.62858	+	5.34167i	0.172858	+	0.199488i
$718$	0.483714	+	0.510542i	0.0180520	+	0.0190533i
$719$	−25.7131	−	22.2805i	−0.958937	−	0.830923i	0.0267275	−	0.999643i	$-0.491491\pi$
$719$	−25.7131	−	22.2805i	−0.958937	−	0.830923i	−0.985664	+	0.168719i	$0.946037\pi$
$720$	4.87721	−	3.38047i	0.181763	−	0.125983i
$721$	42.6356	−	12.5189i	1.58783	−	0.466230i
$722$	8.11654	−	20.0890i	0.302066	−	0.747633i
$723$	−1.97175	−	13.7138i	−0.0733300	−	0.510022i
$724$	−18.7456	+	19.4114i	−0.696675	+	0.721418i
$725$	−8.73266	−	19.1219i	−0.324323	−	0.710168i
$726$	0.306948	+	0.896068i	0.0113919	+	0.0332562i
$727$	−7.65889	−	4.92207i	−0.284052	−	0.182549i	0.390854	−	0.920453i	$-0.372180\pi$
$727$	−7.65889	−	4.92207i	−0.284052	−	0.182549i	−0.674906	+	0.737903i	$0.735816\pi$
$728$	32.8166	+	28.9879i	1.21627	+	1.07436i
$729$	0.142315	−	0.989821i	0.00527092	−	0.0366601i
$730$	−2.57547	+	4.42829i	−0.0953223	+	0.163899i
$731$	−14.1574	−	22.0293i	−0.523629	−	0.814782i
$732$	7.35196	+	3.84952i	0.271736	+	0.142282i
$733$	−10.6247	+	36.1844i	−0.392432	+	1.33650i	0.492310	+	0.870420i	$0.336152\pi$
$733$	−10.6247	+	36.1844i	−0.392432	+	1.33650i	−0.884742	+	0.466080i	$0.845666\pi$
$734$	34.7636	+	8.55059i	1.28315	+	0.315608i
$735$	−2.24511			−0.0828123
$736$	−22.6752	−	14.8941i	−0.835819	−	0.549005i
$737$	27.4878			1.01253
$738$	10.7761	+	2.65052i	0.396673	+	0.0975670i
$739$	−4.03568	+	13.7443i	−0.148455	+	0.505591i	−0.999820	−	0.0189831i	$-0.993957\pi$
$739$	−4.03568	+	13.7443i	−0.148455	+	0.505591i	0.851365	+	0.524574i	$0.175775\pi$
$740$	15.3335	+	8.02870i	0.563671	+	0.295141i
$741$	6.85382	+	10.6648i	0.251781	+	0.391780i
$742$	−14.5949	+	25.0946i	−0.535794	+	0.921252i
$743$	2.96137	−	20.5968i	0.108642	−	0.755623i	−0.860559	−	0.509351i	$-0.829885\pi$
$743$	2.96137	−	20.5968i	0.108642	−	0.755623i	0.969201	−	0.246271i	$-0.0792055\pi$
$744$	10.5860	+	9.35093i	0.388102	+	0.342822i
$745$	−0.609445	−	0.391667i	−0.0223284	−	0.0143496i
$746$	10.3464	+	30.2041i	0.378809	+	1.10585i
$747$	−4.00143	−	8.76191i	−0.146405	−	0.320581i
$748$	−18.9656	+	19.6392i	−0.693453	+	0.718081i
$749$	1.34193	+	9.33331i	0.0490330	+	0.341032i
$750$	−6.12971	+	15.1714i	−0.223825	+	0.553981i
$751$	−14.6850	+	4.31190i	−0.535862	+	0.157343i	−0.538457	−	0.842653i	$-0.680992\pi$
$751$	−14.6850	+	4.31190i	−0.535862	+	0.157343i	0.00259431	+	0.999997i	$0.499174\pi$
$752$	16.2808	−	11.2845i	0.593700	−	0.411503i
$753$	9.40763	+	8.15176i	0.342833	+	0.297067i
$754$	48.2781	+	50.9557i	1.75818	+	1.85570i
$755$	−2.18068	−	2.51664i	−0.0793631	−	0.0915899i
$756$	−0.415673	−	4.66625i	−0.0151179	−	0.169710i
$757$	−41.0138	−	18.7304i	−1.49067	−	0.680766i	−0.507199	−	0.861829i	$-0.669319\pi$
$757$	−41.0138	−	18.7304i	−1.49067	−	0.680766i	−0.983472	+	0.181063i	$0.942046\pi$
$758$	5.06409	+	26.7317i	0.183936	+	0.970938i
$759$	−11.0927	+	10.7027i	−0.402639	+	0.388483i
$760$	6.81228	−	4.28680i	0.247107	−	0.155499i
$761$	−12.5944	+	27.5780i	−0.456548	+	0.999701i	0.531713	+	0.846925i	$0.321549\pi$
$761$	−12.5944	+	27.5780i	−0.456548	+	0.999701i	−0.988261	+	0.152776i	$0.951179\pi$
$762$	2.22946	−	22.5893i	0.0807647	−	0.818325i
$763$	8.59348	−	7.44629i	0.311105	−	0.269574i
$764$	−17.2003	+	23.8324i	−0.622283	+	0.862228i
$765$	−4.12629	+	4.76199i	−0.149186	+	0.172170i
$766$	−6.10053	+	0.271183i	−0.220421	+	0.00979825i
$767$	−15.4961	−	52.7750i	−0.559533	−	1.90559i
$768$	−12.7932	−	9.60910i	−0.461634	−	0.346739i
$769$	4.75286	−	0.683358i	0.171392	−	0.0246425i	−0.0560842	−	0.998426i	$-0.517862\pi$
$769$	4.75286	−	0.683358i	0.171392	−	0.0246425i	0.227477	+	0.973784i	$0.426952\pi$
$770$	−9.12123	−	12.8955i	−0.328706	−	0.464721i
$771$	−18.2421	+	8.33091i	−0.656975	+	0.300030i
$772$	13.4774	+	23.6899i	0.485063	+	0.852619i
$773$	8.51370	−	13.2476i	0.306217	−	0.476482i	−0.653706	−	0.756749i	$-0.726787\pi$
$773$	8.51370	−	13.2476i	0.306217	−	0.476482i	0.959922	+	0.280267i	$0.0904229\pi$
$774$	−3.97076	−	7.76265i	−0.142726	−	0.279023i
$775$	−13.8357	−	1.98928i	−0.496994	−	0.0714570i
$776$	−0.955163	+	6.22178i	−0.0342884	+	0.223349i
$777$	11.4948	−	7.38728i	0.412375	−	0.265017i
$778$	31.7651	+	25.1441i	1.13883	+	0.901459i
$779$	14.4420	+	4.24056i	0.517439	+	0.151934i
$780$	1.05750	−	19.5811i	0.0378644	−	0.701117i
$781$		−	11.4776i		−	0.410702i
$782$	27.2476	+	9.34720i	0.974372	+	0.334255i
$783$		−	7.51016i		−	0.268391i
$784$	1.90701	+	5.74512i	0.0681076	+	0.205183i
$785$	31.9540	+	9.38255i	1.14049	+	0.334877i
$786$	8.60963	−	10.8767i	0.307095	−	0.387961i
$787$	−39.1720	+	25.1743i	−1.39633	+	0.897368i	−0.999787	−	0.0206472i	$-0.993427\pi$
$787$	−39.1720	+	25.1743i	−1.39633	+	0.897368i	−0.396545	+	0.918015i	$0.629791\pi$
$788$	4.35357	−	12.3249i	0.155089	−	0.439056i
$789$	25.5847	+	3.67852i	0.910839	+	0.130959i
$790$	16.9017	−	8.64555i	0.601334	−	0.307595i
$791$	−18.2531	+	28.4024i	−0.649007	+	1.00987i
$792$	−6.92676	+	5.88744i	−0.246132	+	0.209201i
$793$	24.9453	−	11.3921i	0.885834	−	0.404547i
$794$	43.9126	−	31.0603i	1.55840	−	1.10229i
$795$	12.8688	−	1.85026i	0.456411	−	0.0656219i
$796$	−31.9641	−	6.37146i	−1.13294	−	0.225831i
$797$	1.97863	+	6.73859i	0.0700866	+	0.238693i	0.987085	−	0.160198i	$-0.0512133\pi$
$797$	1.97863	+	6.73859i	0.0700866	+	0.238693i	−0.916998	+	0.398891i	$0.869395\pi$
$798$	−0.282177	−	6.34784i	−0.00998895	−	0.224711i
$799$	−13.7741	+	15.8962i	−0.487293	+	0.562366i
$800$	15.8021	+	1.00452i	0.558688	+	0.0355153i
$801$	9.96243	−	8.63250i	0.352005	−	0.305014i
$802$	11.5818	+	1.14307i	0.408967	+	0.0403631i
$803$	3.26006	−	7.13853i	0.115045	−	0.251913i
$804$	−6.25615	−	15.9195i	−0.220637	−	0.561437i
$805$	−8.24736	+	14.4818i	−0.290681	+	0.510416i
$806$	45.8592	−	8.68764i	1.61532	−	0.306009i
$807$	13.4154	+	6.12660i	0.472244	+	0.215667i
$808$	4.41444	+	15.5820i	0.155299	+	0.548174i
$809$	−18.3259	−	21.1492i	−0.644303	−	0.743565i	0.335827	−	0.941924i	$-0.390984\pi$
$809$	−18.3259	−	21.1492i	−0.644303	−	0.743565i	−0.980129	+	0.198359i	$0.936439\pi$
$810$	−1.52303	+	1.44299i	−0.0535137	+	0.0507016i
$811$	−6.48576	−	5.61994i	−0.227746	−	0.197343i	0.533512	−	0.845793i	$-0.320872\pi$
$811$	−6.48576	−	5.61994i	−0.227746	−	0.197343i	−0.761257	+	0.648450i	$0.775418\pi$
$812$	−8.07732	−	34.2433i	−0.283458	−	1.20170i
$813$	24.5897	−	7.22019i	0.862398	−	0.253223i
$814$	−24.5843	−	9.93279i	−0.861678	−	0.348144i
$815$	−0.974458	−	6.77751i	−0.0341338	−	0.237406i
$816$	15.6905	+	6.51408i	0.549279	+	0.228038i
$817$	−4.91285	−	10.7576i	−0.171879	−	0.376362i
$818$	−38.0351	+	13.0289i	−1.32987	+	0.455546i
$819$	−13.0232	−	8.36953i	−0.455069	−	0.292455i
$820$	−14.2758	−	18.3925i	−0.498533	−	0.642293i
$821$	−2.47783	+	17.2337i	−0.0864767	+	0.601459i	0.899793	+	0.436317i	$0.143717\pi$
$821$	−2.47783	+	17.2337i	−0.0864767	+	0.601459i	−0.986270	+	0.165142i	$0.947192\pi$
$822$	10.4646	+	6.08612i	0.364993	+	0.212278i
$823$	−18.2879	−	28.4565i	−0.637475	−	0.991931i	−0.998242	−	0.0592748i	$-0.981121\pi$
$823$	−18.2879	−	28.4565i	−0.637475	−	0.991931i	0.360766	−	0.932656i	$-0.382515\pi$
$824$	−15.6067	+	51.3365i	−0.543685	+	1.78839i
$825$	2.53459	−	8.63201i	0.0882430	−	0.300528i
$826$	−6.58466	+	26.7708i	−0.229109	+	0.931477i
$827$	−24.6584			−0.857455			−0.428727	−	0.903434i	$-0.641038\pi$
$827$	−24.6584			−0.857455			−0.428727	+	0.903434i	$0.641038\pi$
$828$	8.72311	+	3.98840i	0.303149	+	0.138607i
$829$	14.1948			0.493004			0.246502	−	0.969142i	$-0.420719\pi$
$829$	14.1948			0.493004			0.246502	+	0.969142i	$0.420719\pi$
$830$	−4.82688	+	19.6243i	−0.167543	+	0.681171i
$831$	6.52893	−	22.2355i	0.226486	−	0.771341i
$832$	−51.0053	+	13.9263i	−1.76829	+	0.482806i
$833$	−3.47499	−	5.40719i	−0.120401	−	0.187348i
$834$	−19.9214	−	11.5862i	−0.689822	−	0.401196i
$835$	−3.30178	+	22.9644i	−0.114263	+	0.794714i
$836$	−9.74044	+	7.56031i	−0.336880	+	0.261479i
$837$	−4.20104	−	2.69985i	−0.145209	−	0.0933203i
$838$	−26.5588	+	9.09773i	−0.917460	+	0.314276i
$839$	−20.6654	−	45.2509i	−0.713449	−	1.56223i	−0.822864	−	0.568238i	$-0.807625\pi$
$839$	−20.6654	−	45.2509i	−0.713449	−	1.56223i	0.109415	−	0.993996i	$-0.465102\pi$
$840$	−5.39242	+	8.21751i	−0.186056	+	0.283531i
$841$	−3.89979	−	27.1236i	−0.134475	−	0.935297i
$842$	4.24790	+	1.71628i	0.146392	+	0.0591470i
$843$	11.7936	−	3.46293i	0.406195	−	0.119270i
$844$	38.0573	−	8.97696i	1.30999	−	0.309000i
$845$	−34.3975	−	29.8056i	−1.18331	−	1.02534i
$846$	−5.08408	+	4.81692i	−0.174794	+	0.165609i
$847$	−1.02736	−	1.18563i	−0.0353004	−	0.0407389i
$848$	−15.6656	−	31.3590i	−0.537958	−	1.07687i
$849$	0.950514	+	0.434085i	0.0326216	+	0.0148978i
$850$	−16.5189	+	3.12937i	−0.566594	+	0.107336i
$851$	1.49624	+	27.9360i	0.0512905	+	0.957633i
$852$	−6.64725	+	2.61228i	−0.227731	+	0.0894952i
$853$	−1.80785	+	3.95863i	−0.0618994	+	0.135541i	−0.938054	−	0.346490i	$-0.887373\pi$
$853$	−1.80785	+	3.95863i	−0.0618994	+	0.135541i	0.876154	+	0.482031i	$0.160101\pi$
$854$	−13.6788	−	1.35003i	−0.468080	−	0.0461972i
$855$	−2.15063	+	1.86353i	−0.0735500	+	0.0637315i
$856$	−10.3115	−	4.82839i	−0.352439	−	0.165031i
$857$	−31.3414	+	36.1699i	−1.07060	+	1.23554i	−0.0999650	+	0.994991i	$0.531873\pi$
$857$	−31.3414	+	36.1699i	−1.07060	+	1.23554i	−0.970637	+	0.240550i	$0.922672\pi$
$858$	1.33406	+	30.0110i	0.0455440	+	1.02456i
$859$	−0.884899	−	3.01369i	−0.0301924	−	0.102826i	0.943018	−	0.332741i	$-0.107973\pi$
$859$	−0.884899	−	3.01369i	−0.0301924	−	0.102826i	−0.973211	+	0.229915i	$0.926155\pi$
$860$	−3.57613	+	17.9406i	−0.121945	+	0.611769i
$861$	−18.1933	+	2.61580i	−0.620026	+	0.0891462i
$862$	3.85008	−	2.72324i	0.131134	−	0.0927539i
$863$	3.32092	−	1.51661i	0.113045	−	0.0516261i	−0.358090	−	0.933687i	$-0.616572\pi$
$863$	3.32092	−	1.51661i	0.113045	−	0.0516261i	0.471135	+	0.882061i	$0.343844\pi$
$864$	4.98621	+	2.67165i	0.169634	+	0.0908915i
$865$	−1.83151	+	2.84989i	−0.0622732	+	0.0968990i
$866$	−41.3226	+	21.1374i	−1.40420	+	0.718279i
$867$	−1.02857	−	0.147886i	−0.0349321	−	0.00502248i
$868$	−22.0588	−	7.79191i	−0.748724	−	0.264475i
$869$	−24.4661	+	15.7234i	−0.829954	+	0.533379i
$870$	−9.77947	+	12.3546i	−0.331555	+	0.418861i
$871$	−54.2331	−	15.9243i	−1.83762	−	0.539574i
$872$	1.82443	+	13.6086i	0.0617828	+	0.460846i
$873$		−	2.22550i		−	0.0753219i
$874$	11.5797	+	5.92974i	0.391688	+	0.200577i
$875$		−	27.1019i		−	0.916211i
$876$	−4.87625	−	0.263345i	−0.164753	−	0.00889762i
$877$	19.7803	+	5.80801i	0.667932	+	0.196123i	0.598082	−	0.801435i	$-0.295930\pi$
$877$	19.7803	+	5.80801i	0.667932	+	0.196123i	0.0698502	+	0.997557i	$0.477748\pi$
$878$	−32.9785	−	26.1045i	−1.11297	−	0.880985i
$879$	7.02716	−	4.51608i	0.237020	−	0.152324i
$880$	19.0613	−	0.665375i	0.642557	−	0.0224298i
$881$	37.8699	+	5.44487i	1.27587	+	0.183442i	0.746750	−	0.665105i	$-0.231613\pi$
$881$	37.8699	+	5.44487i	1.27587	+	0.183442i	0.529119	+	0.848547i	$0.322522\pi$
$882$	−0.974642	−	1.90538i	−0.0328179	−	0.0641574i
$883$	24.3069	−	37.8223i	0.817993	−	1.27282i	−0.141174	−	0.989985i	$-0.545088\pi$
$883$	24.3069	−	37.8223i	0.817993	−	1.27282i	0.959168	−	0.282838i	$-0.0912758\pi$
$884$	48.7965	−	27.7608i	1.64120	−	0.933696i
$885$	11.2309	−	5.12900i	0.377524	−	0.172409i
$886$	33.2822	+	47.0540i	1.11814	+	1.58081i
$887$	29.2498	−	4.20549i	0.982113	−	0.141207i	0.367490	−	0.930027i	$-0.380217\pi$
$887$	29.2498	−	4.20549i	0.982113	−	0.141207i	0.614623	+	0.788821i	$0.289308\pi$
$888$	−0.157240	+	16.4986i	−0.00527663	+	0.553657i
$889$	10.5922	+	36.0736i	0.355250	+	1.20987i
$890$	−27.6297	+	1.22821i	−0.926150	+	0.0411696i
$891$	2.10477	−	2.42903i	0.0705124	−	0.0813756i
$892$	1.27095	+	0.917262i	0.0425545	+	0.0307122i
$893$	−7.17911	+	6.22073i	−0.240240	+	0.208169i
$894$	0.0678284	−	0.687252i	0.00226852	−	0.0229851i
$895$	−3.67431	+	8.04561i	−0.122819	+	0.268935i
$896$	25.6085	+	6.81890i	0.855520	+	0.227804i
$897$	28.0861	−	14.6901i	0.937767	−	0.490487i
$898$	−8.41788	−	44.4353i	−0.280908	−	1.48282i
$899$	−34.1150	−	15.5798i	−1.13780	−	0.519615i
$900$	−5.57608	+	0.496721i	−0.185869	+	0.0165574i
$901$	24.3746	+	28.1298i	0.812035	+	0.937138i
$902$	24.5311	+	25.8917i	0.816798	+	0.862100i
$903$	10.9143	+	9.45732i	0.363206	+	0.314720i
$904$	−16.5815	−	37.2436i	−0.551491	−	1.23870i
$905$	−19.2061	+	5.63942i	−0.638432	+	0.187461i
$906$	1.18915	−	2.94321i	0.0395067	−	0.0977816i
$907$	6.46214	+	44.9452i	0.214572	+	1.49238i	0.757630	+	0.652685i	$0.226357\pi$
$907$	6.46214	+	44.9452i	0.214572	+	1.49238i	−0.543058	+	0.839695i	$0.682734\pi$
$908$	17.2813	+	16.6886i	0.573501	+	0.553831i
$909$	−2.37862	−	5.20846i	−0.0788939	−	0.172754i
$910$	10.5255	+	30.7268i	0.348915	+	1.01858i
$911$	24.7627	+	15.9140i	0.820426	+	0.527256i	0.882222	−	0.470833i	$-0.156047\pi$
$911$	24.7627	+	15.9140i	0.820426	+	0.527256i	−0.0617963	+	0.998089i	$0.519683\pi$
$912$	6.59543	+	3.92045i	0.218397	+	0.129819i
$913$	4.40594	−	30.6440i	0.145815	−	1.01417i
$914$	6.02516	−	10.3597i	0.199295	−	0.342670i
$915$	3.32810	+	5.17862i	0.110024	+	0.171200i
$916$	19.1361	−	36.5469i	0.632275	−	1.20754i
$917$	−6.47309	+	22.0453i	−0.213760	+	0.728001i
$918$	−5.83268	−	1.43463i	−0.192507	−	0.0473498i
$919$	−8.22567			−0.271340			−0.135670	−	0.990754i	$-0.543319\pi$
$919$	−8.22567			−0.271340			−0.135670	+	0.990754i	$0.543319\pi$
$920$	−9.15645	−	17.9201i	−0.301879	−	0.590807i
$921$	−17.1216			−0.564176
$922$	−2.86650	−	0.705054i	−0.0944031	−	0.0232197i
$923$	−6.64925	+	22.6453i	−0.218863	+	0.745378i
$924$	6.98442	−	13.3391i	0.229771	−	0.438825i
$925$	−8.82766	−	13.7361i	−0.290252	−	0.451641i
$926$	6.33310	−	10.8892i	0.208118	−	0.357842i
$927$	2.69977	−	18.7773i	0.0886721	−	0.616728i
$928$	39.9216	+	14.5310i	1.31049	+	0.477004i
$929$	24.1395	+	15.5135i	0.791991	+	0.508982i	0.872993	−	0.487732i	$-0.162176\pi$
$929$	24.1395	+	15.5135i	0.791991	+	0.508982i	−0.0810020	+	0.996714i	$0.525812\pi$
$930$	3.39530	+	9.91185i	0.111336	+	0.325022i
$931$	−1.20588	−	2.64051i	−0.0395211	−	0.0865392i
$932$	1.20981	+	1.16831i	0.0396285	+	0.0382693i
$933$	0.0845730	+	0.588218i	0.00276880	+	0.0192574i
$934$	15.9428	−	39.4594i	0.521665	−	1.29115i
$935$	−19.4315	+	5.70562i	−0.635479	+	0.186594i
$936$	17.0771	−	7.60303i	0.558184	−	0.248513i
$937$	−4.63396	−	4.01535i	−0.151385	−	0.131176i	0.575876	−	0.817537i	$-0.304661\pi$
$937$	−4.63396	−	4.01535i	−0.151385	−	0.131176i	−0.727260	+	0.686362i	$0.759207\pi$
$938$	19.4850	+	20.5657i	0.636209	+	0.671495i
$939$	−0.851855	−	0.983093i	−0.0277992	−	0.0320820i
$940$	14.6360	−	1.30379i	0.477374	−	0.0425249i
$941$	18.4114	+	8.40821i	0.600195	+	0.274100i	0.692254	−	0.721654i	$-0.256618\pi$
$941$	18.4114	+	8.40821i	0.600195	+	0.274100i	−0.0920595	+	0.995754i	$0.529345\pi$
$942$	5.90901	+	31.1918i	0.192526	+	1.01628i
$943$	13.7799	−	35.0189i	0.448737	−	1.14037i
$944$	−22.6644	−	24.3827i	−0.737664	−	0.793591i
$945$	1.44357	−	3.16098i	0.0469594	−	0.102827i
$946$	2.75249	−	27.8888i	0.0894912	−	0.906744i
$947$	−26.0664	+	22.5867i	−0.847044	+	0.733968i	−0.965892	−	0.258944i	$-0.916625\pi$
$947$	−26.0664	+	22.5867i	−0.847044	+	0.733968i	0.118848	+	0.992912i	$0.462080\pi$
$948$	14.6746	+	10.5909i	0.476608	+	0.343975i
$949$	−10.5676	+	12.1956i	−0.343038	+	0.395887i
$950$	−7.58555	+	0.337196i	−0.246108	+	0.0109401i
$951$	2.45266	+	8.35300i	0.0795330	+	0.270865i
$952$	−28.1376	−	0.268166i	−0.911945	−	0.00869131i
$953$	−35.4453	+	5.09627i	−1.14819	+	0.165084i	−0.690026	−	0.723785i	$-0.742401\pi$
$953$	−35.4453	+	5.09627i	−1.14819	+	0.165084i	−0.458161	+	0.888869i	$0.651492\pi$
$954$	7.15685	+	10.1183i	0.231712	+	0.327591i
$955$	−19.8314	+	9.05669i	−0.641729	+	0.293068i
$956$	12.2869	−	6.99012i	0.397385	−	0.226076i
$957$	13.0501	−	20.3063i	0.421849	−	0.656410i
$958$	11.9090	+	23.2815i	0.384762	+	0.752191i
$959$	−19.8466	−	2.85351i	−0.640879	−	0.0921445i
$960$	−4.72365	−	10.8879i	−0.152455	−	0.351405i
$961$	5.09974	−	3.27741i	0.164508	−	0.105723i
$962$	42.7502	+	33.8395i	1.37832	+	1.09103i
$963$	3.86248	+	1.13413i	0.124467	+	0.0365467i
$964$	−27.6693	−	1.49430i	−0.891169	−	0.0481283i
$965$			20.2173i			0.650819i
$966$	−15.8707	−	0.712563i	−0.510631	−	0.0229263i
$967$			18.9238i			0.608547i	0.952585	+	0.304274i	$0.0984137\pi$
$967$			18.9238i			0.608547i	−0.952585	+	0.304274i	$0.901586\pi$
$968$	1.87757	−	0.251714i	0.0603473	−	0.00809041i
$969$	−7.81692	−	2.29525i	−0.251116	−	0.0737342i
$970$	−2.89797	+	3.66108i	−0.0930483	+	0.117550i
$971$	31.6354	−	20.3308i	1.01523	−	0.652448i	0.0764871	−	0.997071i	$-0.475630\pi$
$971$	31.6354	−	20.3308i	1.01523	−	0.652448i	0.938741	+	0.344623i	$0.111993\pi$
$972$	−1.88581	−	0.666131i	−0.0604873	−	0.0213662i
$973$	37.7820	+	5.43223i	1.21123	+	0.174149i
$974$	53.4564	−	27.3441i	1.71285	−	0.876161i
$975$	−10.0014	+	15.5625i	−0.320302	+	0.498400i
$976$	10.4249	−	12.9152i	0.333693	−	0.413405i
$977$	−21.6175	+	9.87239i	−0.691606	+	0.315846i	−0.730029	−	0.683416i	$-0.760494\pi$
$977$	−21.6175	+	9.87239i	−0.691606	+	0.315846i	0.0384235	+	0.999262i	$0.487766\pi$
$978$	5.32889	−	3.76923i	0.170399	−	0.120527i
$979$	41.9372	−	6.02966i	1.34032	−	0.192709i
$980$	−0.877777	+	4.40360i	−0.0280396	+	0.140668i
$981$	−1.36765	−	4.65778i	−0.0436656	−	0.148711i
$982$	0.0592152	+	1.33210i	0.00188963	+	0.0425091i
$983$	39.0723	−	45.0919i	1.24621	−	1.43821i	0.390627	−	0.920549i	$-0.372258\pi$
$983$	39.0723	−	45.0919i	1.24621	−	1.43821i	0.855587	−	0.517658i	$-0.173196\pi$
$984$	9.41191	−	20.1000i	0.300041	−	0.640766i
$985$	7.32767	−	6.34946i	0.233479	−	0.202311i
$986$	−44.8918	−	4.43061i	−1.42965	−	0.141099i
$987$	4.81885	−	10.5518i	0.153386	−	0.335868i
$988$	23.5976	−	9.27355i	0.750741	−	0.295031i
$989$	−27.8846	+	9.83584i	−0.886679	+	0.312761i
$990$	−6.62546	+	1.25514i	−0.210571	+	0.0398909i
$991$	−14.6872	−	6.70741i	−0.466554	−	0.213068i	0.168245	−	0.985745i	$-0.446190\pi$
$991$	−14.6872	−	6.70741i	−0.466554	−	0.213068i	−0.634799	+	0.772677i	$0.718917\pi$
$992$	22.4799	−	17.1076i	0.713737	−	0.543166i
$993$	−2.02985	−	2.34257i	−0.0644153	−	0.0743393i
$994$	8.58730	−	8.13605i	0.272373	−	0.258060i
$995$	−18.2715	−	15.8323i	−0.579245	−	0.501918i
$996$	−18.7502	+	4.42279i	−0.594122	+	0.140142i
$997$	−22.7004	+	6.66543i	−0.718928	+	0.211096i	−0.620678	−	0.784065i	$-0.713143\pi$
$997$	−22.7004	+	6.66543i	−0.718928	+	0.211096i	−0.0982500	+	0.995162i	$0.531324\pi$
$998$	−9.69312	−	3.91631i	−0.306830	−	0.123969i
$999$	−0.830179	−	5.77402i	−0.0262657	−	0.182682i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.m.a.247.23	yes	240
3.2	odd	2		828.2.u.c.523.2		240
4.3	odd	2	inner	276.2.m.a.247.6	yes	240
12.11	even	2		828.2.u.c.523.19		240
23.19	odd	22	inner	276.2.m.a.19.6	✓	240
69.65	even	22		828.2.u.c.19.19		240
92.19	even	22	inner	276.2.m.a.19.23	yes	240
276.203	odd	22		828.2.u.c.19.2		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.m.a.19.6	✓	240	23.19	odd	22	inner
276.2.m.a.19.23	yes	240	92.19	even	22	inner
276.2.m.a.247.6	yes	240	4.3	odd	2	inner
276.2.m.a.247.23	yes	240	1.1	even	1	trivial
828.2.u.c.19.2		240	276.203	odd	22
828.2.u.c.19.19		240	69.65	even	22
828.2.u.c.523.2		240	3.2	odd	2
828.2.u.c.523.19		240	12.11	even	2

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)

\(f(q)\)	\(=\)	\(q+(1.37328 + 0.337778i) q^{2} +(-0.281733 + 0.959493i) q^{3} +(1.77181 + 0.927729i) q^{4} +(0.802068 + 1.24804i) q^{5} +(-0.710994 + 1.22249i) q^{6} +(0.333353 - 2.31852i) q^{7} +(2.11983 + 1.87251i) q^{8} +(-0.841254 - 0.540641i) q^{9} +O(q^{10})\)	\(q+(1.37328 + 0.337778i) q^{2} +(-0.281733 + 0.959493i) q^{3} +(1.77181 + 0.927729i) q^{4} +(0.802068 + 1.24804i) q^{5} +(-0.710994 + 1.22249i) q^{6} +(0.333353 - 2.31852i) q^{7} +(2.11983 + 1.87251i) q^{8} +(-0.841254 - 0.540641i) q^{9} +(0.679905 + 1.98484i) q^{10} +(-1.33517 - 2.92362i) q^{11} +(-1.38933 + 1.43867i) q^{12} +(0.940564 + 6.54177i) q^{13} +(1.24093 - 3.07139i) q^{14} +(-1.42346 + 0.417964i) q^{15} +(2.27864 + 3.28752i) q^{16} +(-3.20986 - 2.78136i) q^{17} +(-0.972663 - 1.02661i) q^{18} +(-1.25613 - 1.44965i) q^{19} +(0.263269 + 2.95540i) q^{20} +(2.13069 + 0.973052i) q^{21} +(-0.846036 - 4.46595i) q^{22} +(-3.89006 + 2.80489i) q^{23} +(-2.39389 + 1.50642i) q^{24} +(1.16278 - 2.54613i) q^{25} +(-0.918003 + 9.30140i) q^{26} +(0.755750 - 0.654861i) q^{27} +(2.74160 - 3.79872i) q^{28} +(4.91811 - 5.67580i) q^{29} +(-2.09599 + 0.0931716i) q^{30} +(-1.40691 - 4.79150i) q^{31} +(2.01876 + 5.28437i) q^{32} +(3.18135 - 0.457410i) q^{33} +(-3.46856 - 4.90381i) q^{34} +(3.16098 - 1.44357i) q^{35} +(-0.988975 - 1.73837i) q^{36} +(3.15377 - 4.90737i) q^{37} +(-1.23536 - 2.41508i) q^{38} +(-6.54177 - 0.940564i) q^{39} +(-0.636724 + 4.14752i) q^{40} +(-6.60126 + 4.24238i) q^{41} +(2.59736 + 2.05598i) q^{42} +(5.91571 + 1.73701i) q^{43} +(0.346652 - 6.41878i) q^{44} -1.48355i q^{45} +(-6.28959 + 2.53793i) q^{46} -4.95230i q^{47} +(-3.79632 + 1.26014i) q^{48} +(1.45204 + 0.426357i) q^{49} +(2.45685 - 3.10380i) q^{50} +(3.57302 - 2.29624i) q^{51} +(-4.40248 + 12.4634i) q^{52} +(-8.67435 - 1.24718i) q^{53} +(1.25906 - 0.644034i) q^{54} +(2.57790 - 4.01129i) q^{55} +(5.04811 - 4.29067i) q^{56} +(1.74482 - 0.796834i) q^{57} +(8.67112 - 6.13325i) q^{58} +(-8.23768 + 1.18440i) q^{59} +(-2.90985 - 0.580027i) q^{60} +(-1.16902 - 3.98132i) q^{61} +(-0.313626 - 7.05532i) q^{62} +(-1.53392 + 1.77024i) q^{63} +(0.987389 + 7.93883i) q^{64} +(-7.41000 + 6.42080i) q^{65} +(4.52340 + 0.446438i) q^{66} +(-3.55277 + 7.77948i) q^{67} +(-3.10692 - 7.90592i) q^{68} +(-1.59531 - 4.52272i) q^{69} +(4.82853 - 0.914724i) q^{70} +(3.24835 + 1.48347i) q^{71} +(-0.770961 - 2.72133i) q^{72} +(1.59896 + 1.84530i) q^{73} +(5.98862 - 5.67393i) q^{74} +(2.11540 + 1.83301i) q^{75} +(-0.880744 - 3.73386i) q^{76} +(-7.22356 + 2.12103i) q^{77} +(-8.66600 - 3.50132i) q^{78} +(-1.28775 - 8.95651i) q^{79} +(-2.27534 + 5.48065i) q^{80} +(0.415415 + 0.909632i) q^{81} +(-10.4984 + 3.59622i) q^{82} +(8.10326 + 5.20765i) q^{83} +(2.87245 + 3.70077i) q^{84} +(0.896727 - 6.23688i) q^{85} +(7.53722 + 4.38360i) q^{86} +(4.06030 + 6.31795i) q^{87} +(2.64417 - 8.69772i) q^{88} +(-3.71385 + 12.6482i) q^{89} +(0.501110 - 2.03733i) q^{90} +15.4808 q^{91} +(-9.49464 + 1.36081i) q^{92} +4.99379 q^{93} +(1.67278 - 6.80091i) q^{94} +(0.801724 - 2.73042i) q^{95} +(-5.63907 + 0.448209i) q^{96} +(1.20320 + 1.87221i) q^{97} +(1.85005 + 1.07598i) q^{98} +(-0.457410 + 3.18135i) 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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