LMFDB - Embedded newform 260.2.bj.c.3.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(3,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 4]))

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

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

chi := DirichletCharacter("260.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bj (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			3.4
Character	$\chi$	$=$	260.3
Dual form			260.2.bj.c.87.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.34244 - 0.444817i) q^{2} +(-2.68406 - 0.719191i) q^{3} +(1.60428 + 1.19428i) q^{4} +(-2.23362 - 0.104689i) q^{5} +(3.28327 + 2.15938i) q^{6} +(-1.57219 + 0.421268i) q^{7} +(-1.62241 - 2.31685i) q^{8} +(4.08885 + 2.36070i) q^{9} +O(q^{10})$	\(q+(-1.34244 - 0.444817i) q^{2} +(-2.68406 - 0.719191i) q^{3} +(1.60428 + 1.19428i) q^{4} +(-2.23362 - 0.104689i) q^{5} +(3.28327 + 2.15938i) q^{6} +(-1.57219 + 0.421268i) q^{7} +(-1.62241 - 2.31685i) q^{8} +(4.08885 + 2.36070i) q^{9} +(2.95192 + 1.13409i) q^{10} +(-3.10604 + 1.79327i) q^{11} +(-3.44706 - 4.35929i) q^{12} +(3.37123 - 1.27859i) q^{13} +(2.29796 + 0.133812i) q^{14} +(5.91986 + 1.88739i) q^{15} +(1.14740 + 3.83190i) q^{16} +(0.631055 + 2.35513i) q^{17} +(-4.43894 - 4.98788i) q^{18} +(3.89080 - 6.73906i) q^{19} +(-3.45831 - 2.83551i) q^{20} +4.52283 q^{21} +(4.96734 - 1.02574i) q^{22} +(4.09920 + 1.09838i) q^{23} +(2.68837 + 7.38538i) q^{24} +(4.97808 + 0.467672i) q^{25} +(-5.09441 + 0.216847i) q^{26} +(-3.38231 - 3.38231i) q^{27} +(-3.02534 - 1.20180i) q^{28} +(0.539189 - 0.311301i) q^{29} +(-7.10750 - 5.16695i) q^{30} +1.30567i q^{31} +(0.164174 - 5.65447i) q^{32} +(9.62648 - 2.57941i) q^{33} +(0.200449 - 3.44232i) q^{34} +(3.55578 - 0.776359i) q^{35} +(3.74031 + 8.67043i) q^{36} +(-2.27653 - 0.609995i) q^{37} +(-8.22080 + 7.31608i) q^{38} +(-9.96813 + 1.00725i) q^{39} +(3.38128 + 5.34480i) q^{40} +(2.14710 + 3.71889i) q^{41} +(-6.07161 - 2.01183i) q^{42} +(2.45431 + 9.15962i) q^{43} +(-7.12460 - 0.832566i) q^{44} +(-8.88577 - 5.70095i) q^{45} +(-5.01434 - 3.29789i) q^{46} +(5.15748 + 5.15748i) q^{47} +(-0.323832 - 11.1102i) q^{48} +(-3.76785 + 2.17537i) q^{49} +(-6.47473 - 2.84215i) q^{50} -6.77514i q^{51} +(6.93538 + 1.97497i) q^{52} +(-6.05482 - 6.05482i) q^{53} +(3.03603 + 6.04504i) q^{54} +(7.12543 - 3.68031i) q^{55} +(3.52675 + 2.95907i) q^{56} +(-15.2898 + 15.2898i) q^{57} +(-0.862299 + 0.178062i) q^{58} +(2.25184 - 3.90030i) q^{59} +(7.24303 + 10.0978i) q^{60} +(0.561402 - 0.972376i) q^{61} +(0.580783 - 1.75278i) q^{62} +(-7.42294 - 1.98897i) q^{63} +(-2.73560 + 7.51775i) q^{64} +(-7.66389 + 2.50295i) q^{65} +(-14.0703 - 0.819326i) q^{66} +(-3.80085 + 14.1849i) q^{67} +(-1.80029 + 4.53193i) q^{68} +(-10.2125 - 5.89621i) q^{69} +(-5.11875 - 0.539456i) q^{70} +(-1.41317 - 0.815893i) q^{71} +(-1.16439 - 13.3033i) q^{72} +(1.81645 + 1.81645i) q^{73} +(2.78476 + 1.83152i) q^{74} +(-13.0251 - 4.83545i) q^{75} +(14.2902 - 6.16463i) q^{76} +(4.12784 - 4.12784i) q^{77} +(13.8296 + 3.08182i) q^{78} +13.9494 q^{79} +(-2.16170 - 8.67912i) q^{80} +(-0.436311 - 0.755712i) q^{81} +(-1.22813 - 5.94744i) q^{82} +(9.63602 - 9.63602i) q^{83} +(7.25586 + 5.40151i) q^{84} +(-1.16298 - 5.32652i) q^{85} +(0.779590 - 13.3879i) q^{86} +(-1.67110 + 0.447769i) q^{87} +(9.19400 + 4.28681i) q^{88} +(8.71351 - 5.03075i) q^{89} +(9.39272 + 11.6057i) q^{90} +(-4.76160 + 3.43038i) q^{91} +(5.26448 + 6.65768i) q^{92} +(0.939025 - 3.50449i) q^{93} +(-4.62946 - 9.21772i) q^{94} +(-9.39606 + 14.6452i) q^{95} +(-4.50730 + 15.0588i) q^{96} +(-1.12914 - 4.21402i) q^{97} +(6.02575 - 1.24430i) q^{98} -16.9335 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	$ 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−1.34244	−	0.444817i	−0.949247	−	0.314533i
$2$	−1.34244	−	0.444817i	−0.949247	−	0.314533i
$3$	−2.68406	−	0.719191i	−1.54964	−	0.415225i	−0.620275	−	0.784385i	$-0.712979\pi$
$3$	−2.68406	−	0.719191i	−1.54964	−	0.415225i	−0.929366	+	0.369160i	$0.879646\pi$
$4$	1.60428	+	1.19428i	0.802138	+	0.597138i
$5$	−2.23362	−	0.104689i	−0.998903	−	0.0468185i
$5$	−2.23362	−	0.104689i	−0.998903	−	0.0468185i
$6$	3.28327	+	2.15938i	1.34039	+	0.881564i
$7$	−1.57219	+	0.421268i	−0.594233	+	0.159224i	−0.543387	−	0.839482i	$-0.682858\pi$
$7$	−1.57219	+	0.421268i	−0.594233	+	0.159224i	−0.0508459	+	0.998707i	$0.516192\pi$
$8$	−1.62241	−	2.31685i	−0.573607	−	0.819130i
$9$	4.08885	+	2.36070i	1.36295	+	0.786899i
$10$	2.95192	+	1.13409i	0.933480	+	0.358630i
$11$	−3.10604	+	1.79327i	−0.936505	+	0.540692i	−0.888863	−	0.458173i	$-0.848504\pi$
$11$	−3.10604	+	1.79327i	−0.936505	+	0.540692i	−0.0476423	+	0.998864i	$0.515171\pi$
$12$	−3.44706	−	4.35929i	−0.995079	−	1.25842i
$13$	3.37123	−	1.27859i	0.935012	−	0.354617i
$13$	3.37123	−	1.27859i	0.935012	−	0.354617i
$14$	2.29796	+	0.133812i	0.614155	+	0.0357627i
$15$	5.91986	+	1.88739i	1.52850	+	0.487322i
$16$	1.14740	+	3.83190i	0.286851	+	0.957975i
$17$	0.631055	+	2.35513i	0.153053	+	0.571202i	0.999264	+	0.0383544i	$0.0122116\pi$
$17$	0.631055	+	2.35513i	0.153053	+	0.571202i	−0.846211	+	0.532848i	$0.821122\pi$
$18$	−4.43894	−	4.98788i	−1.04627	−	1.17565i
$19$	3.89080	−	6.73906i	0.892611	−	1.54605i	0.0558771	−	0.998438i	$-0.482205\pi$
$19$	3.89080	−	6.73906i	0.892611	−	1.54605i	0.836734	−	0.547610i	$-0.184462\pi$
$20$	−3.45831	−	2.83551i	−0.773301	−	0.634039i
$21$	4.52283			0.986962
$22$	4.96734	−	1.02574i	1.05904	−	0.218688i
$23$	4.09920	+	1.09838i	0.854742	+	0.229027i	0.659479	−	0.751723i	$-0.270777\pi$
$23$	4.09920	+	1.09838i	0.854742	+	0.229027i	0.195264	+	0.980751i	$0.437444\pi$
$24$	2.68837	+	7.38538i	0.548762	+	1.50753i
$25$	4.97808	+	0.467672i	0.995616	+	0.0935344i
$26$	−5.09441	+	0.216847i	−0.999095	+	0.0425271i
$27$	−3.38231	−	3.38231i	−0.650925	−	0.650925i
$28$	−3.02534	−	1.20180i	−0.571736	−	0.227120i
$29$	0.539189	−	0.311301i	0.100125	−	0.0578071i	−0.449101	−	0.893481i	$-0.648256\pi$
$29$	0.539189	−	0.311301i	0.100125	−	0.0578071i	0.549226	+	0.835674i	$0.314922\pi$
$30$	−7.10750	−	5.16695i	−1.29765	−	0.943352i
$31$			1.30567i			0.234505i	0.993102	+	0.117253i	$0.0374087\pi$
$31$			1.30567i			0.234505i	−0.993102	+	0.117253i	$0.962591\pi$
$32$	0.164174	−	5.65447i	0.0290221	−	0.999579i
$33$	9.62648	−	2.57941i	1.67576	−	0.449017i
$34$	0.200449	−	3.44232i	0.0343767	−	0.590352i
$35$	3.55578	−	0.776359i	0.601036	−	0.131229i
$36$	3.74031	+	8.67043i	0.623386	+	1.44507i
$37$	−2.27653	−	0.609995i	−0.374259	−	0.100282i	0.0667860	−	0.997767i	$-0.478726\pi$
$37$	−2.27653	−	0.609995i	−0.374259	−	0.100282i	−0.441045	+	0.897485i	$0.645392\pi$
$38$	−8.22080	+	7.31608i	−1.33359	+	1.18682i
$39$	−9.96813	+	1.00725i	−1.59618	+	0.161289i
$40$	3.38128	+	5.34480i	0.534628	+	0.845088i
$41$	2.14710	+	3.71889i	0.335321	+	0.580793i	0.983546	−	0.180655i	$-0.0578219\pi$
$41$	2.14710	+	3.71889i	0.335321	+	0.580793i	−0.648225	+	0.761449i	$0.724489\pi$
$42$	−6.07161	−	2.01183i	−0.936870	−	0.310432i
$43$	2.45431	+	9.15962i	0.374279	+	1.39683i	0.854395	+	0.519624i	$0.173928\pi$
$43$	2.45431	+	9.15962i	0.374279	+	1.39683i	−0.480116	+	0.877205i	$0.659406\pi$
$44$	−7.12460	−	0.832566i	−1.07407	−	0.125514i
$45$	−8.88577	−	5.70095i	−1.32461	−	0.849847i
$46$	−5.01434	−	3.29789i	−0.739324	−	0.486248i
$47$	5.15748	+	5.15748i	0.752295	+	0.752295i	0.974907	−	0.222612i	$-0.0714583\pi$
$47$	5.15748	+	5.15748i	0.752295	+	0.752295i	−0.222612	+	0.974907i	$0.571458\pi$
$48$	−0.323832	−	11.1102i	−0.0467411	−	1.60363i
$49$	−3.76785	+	2.17537i	−0.538265	+	0.310767i
$50$	−6.47473	−	2.84215i	−0.915665	−	0.401941i
$51$		−	6.77514i		−	0.948710i
$52$	6.93538	+	1.97497i	0.961764	+	0.273880i
$53$	−6.05482	−	6.05482i	−0.831693	−	0.831693i	0.156055	−	0.987748i	$-0.450122\pi$
$53$	−6.05482	−	6.05482i	−0.831693	−	0.831693i	−0.987748	+	0.156055i	$0.950122\pi$
$54$	3.03603	+	6.04504i	0.413151	+	0.822626i
$55$	7.12543	−	3.68031i	0.960793	−	0.496253i
$56$	3.52675	+	2.95907i	0.471282	+	0.395422i
$57$	−15.2898	+	15.2898i	−2.02518	+	2.02518i
$58$	−0.862299	+	0.178062i	−0.113225	+	0.0233806i
$59$	2.25184	−	3.90030i	0.293165	−	0.507776i	−0.681392	−	0.731919i	$-0.738625\pi$
$59$	2.25184	−	3.90030i	0.293165	−	0.507776i	0.974556	+	0.224143i	$0.0719582\pi$
$60$	7.24303	+	10.0978i	0.935071	+	1.30363i
$61$	0.561402	−	0.972376i	0.0718801	−	0.124500i	−0.827845	−	0.560957i	$-0.810433\pi$
$61$	0.561402	−	0.972376i	0.0718801	−	0.124500i	0.899725	+	0.436457i	$0.143767\pi$
$62$	0.580783	−	1.75278i	0.0737596	−	0.222603i
$63$	−7.42294	−	1.98897i	−0.935203	−	0.250587i
$64$	−2.73560	+	7.51775i	−0.341950	+	0.939718i
$65$	−7.66389	+	2.50295i	−0.950589	+	0.310452i
$66$	−14.0703	−	0.819326i	−1.73194	−	0.100852i
$67$	−3.80085	+	14.1849i	−0.464347	+	1.73297i	0.194698	+	0.980863i	$0.437627\pi$
$67$	−3.80085	+	14.1849i	−0.464347	+	1.73297i	−0.659045	+	0.752104i	$0.729039\pi$
$68$	−1.80029	+	4.53193i	−0.218317	+	0.549577i
$69$	−10.2125	−	5.89621i	−1.22945	−	0.709821i
$70$	−5.11875	−	0.539456i	−0.611807	−	0.0644774i
$71$	−1.41317	−	0.815893i	−0.167712	−	0.0968287i	0.413794	−	0.910370i	$-0.364203\pi$
$71$	−1.41317	−	0.815893i	−0.167712	−	0.0968287i	−0.581507	+	0.813542i	$0.697537\pi$
$72$	−1.16439	−	13.3033i	−0.137224	−	1.56780i
$73$	1.81645	+	1.81645i	0.212600	+	0.212600i	0.805371	−	0.592771i	$-0.201966\pi$
$73$	1.81645	+	1.81645i	0.212600	+	0.212600i	−0.592771	+	0.805371i	$0.701966\pi$
$74$	2.78476	+	1.83152i	0.323722	+	0.212910i
$75$	−13.0251	−	4.83545i	−1.50401	−	0.558349i
$76$	14.2902	−	6.16463i	1.63920	−	0.707131i
$77$	4.12784	−	4.12784i	0.470411	−	0.470411i
$78$	13.8296	+	3.08182i	1.56590	+	0.348948i
$79$	13.9494			1.56943			0.784714	−	0.619858i	$-0.212810\pi$
$79$	13.9494			1.56943			0.784714	+	0.619858i	$0.212810\pi$
$80$	−2.16170	−	8.67912i	−0.241686	−	0.970355i
$81$	−0.436311	−	0.755712i	−0.0484790	−	0.0839680i
$82$	−1.22813	−	5.94744i	−0.135624	−	0.656785i
$83$	9.63602	−	9.63602i	1.05769	−	1.05769i	0.0594605	−	0.998231i	$-0.481062\pi$
$83$	9.63602	−	9.63602i	1.05769	−	1.05769i	0.998231	−	0.0594605i	$-0.0189380\pi$
$84$	7.25586	+	5.40151i	0.791680	+	0.589353i
$85$	−1.16298	−	5.32652i	−0.126143	−	0.577742i
$86$	0.779590	−	13.3879i	0.0840653	−	1.44366i
$87$	−1.67110	+	0.447769i	−0.179160	+	0.0480059i
$88$	9.19400	+	4.28681i	0.980083	+	0.456976i
$89$	8.71351	−	5.03075i	0.923630	−	0.533258i	0.0388389	−	0.999245i	$-0.487634\pi$
$89$	8.71351	−	5.03075i	0.923630	−	0.533258i	0.884791	+	0.465987i	$0.154301\pi$
$90$	9.39272	+	11.6057i	0.990079	+	1.22335i
$91$	−4.76160	+	3.43038i	−0.499151	+	0.359602i
$92$	5.26448	+	6.65768i	0.548860	+	0.694111i
$93$	0.939025	−	3.50449i	0.0973724	−	0.363399i
$94$	−4.62946	−	9.21772i	−0.477492	−	0.950735i
$95$	−9.39606	+	14.6452i	−0.964016	+	1.50256i
$96$	−4.50730	+	15.0588i	−0.460024	+	1.53694i
$97$	−1.12914	−	4.21402i	−0.114647	−	0.427869i	0.884613	−	0.466326i	$-0.154423\pi$
$97$	−1.12914	−	4.21402i	−0.114647	−	0.427869i	−0.999260	+	0.0384567i	$0.987756\pi$
$98$	6.02575	−	1.24430i	0.608693	−	0.125693i
$99$	−16.9335			−1.70188
$100$	7.42769	+	6.69548i	0.742769	+	0.669548i
$101$	7.97582	+	13.8145i	0.793624	+	1.37460i	0.923709	+	0.383095i	$0.125142\pi$
$101$	7.97582	+	13.8145i	0.793624	+	1.37460i	−0.130085	+	0.991503i	$0.541525\pi$
$102$	−3.01370	+	9.09521i	−0.298400	+	0.900560i
$103$	5.12278	−	5.12278i	0.504762	−	0.504762i	−0.408152	−	0.912914i	$-0.633827\pi$
$103$	5.12278	−	5.12278i	0.504762	−	0.504762i	0.912914	+	0.408152i	$0.133827\pi$
$104$	−8.43181	−	5.73625i	−0.826807	−	0.562486i
$105$	−10.1023	−	0.473492i	−0.985879	−	0.0462081i
$106$	5.43493	+	10.8215i	0.527887	+	1.05108i
$107$	1.25462	−	4.68231i	0.121289	−	0.452656i	−0.878392	−	0.477942i	$-0.841383\pi$
$107$	1.25462	−	4.68231i	0.121289	−	0.452656i	0.999680	+	0.0252861i	$0.00804966\pi$
$108$	−1.38674	−	9.46557i	−0.133439	−	0.910825i
$109$			5.57259i			0.533757i	0.963730	+	0.266879i	$0.0859923\pi$
$109$			5.57259i			0.533757i	−0.963730	+	0.266879i	$0.914008\pi$
$110$	−11.2025	+	1.77108i	−1.06812	+	0.168865i
$111$	5.67163	+	3.27452i	0.538328	+	0.310804i
$112$	−3.41820	−	5.54112i	−0.322989	−	0.523587i
$113$	4.62721	−	1.23986i	0.435291	−	0.116636i	−0.0345179	−	0.999404i	$-0.510990\pi$
$113$	4.62721	−	1.23986i	0.435291	−	0.116636i	0.469809	+	0.882768i	$0.344323\pi$
$114$	27.3268	−	13.7244i	2.55939	−	1.28541i
$115$	−9.04105	−	2.88250i	−0.843082	−	0.268794i
$116$	1.23679	+	0.144528i	0.114833	+	0.0134191i
$117$	16.8028	+	2.73050i	1.55342	+	0.252435i
$118$	−4.75788	+	4.23426i	−0.437998	+	0.389795i
$119$	−1.98428	−	3.43687i	−0.181899	−	0.315058i
$120$	−5.23162	−	16.7775i	−0.477579	−	1.53157i
$121$	0.931645	−	1.61366i	0.0846950	−	0.146696i
$122$	−1.18618	+	1.05563i	−0.107391	+	0.0955725i
$123$	−3.08835	−	11.5259i	−0.278467	−	1.03925i
$124$	−1.55933	+	2.09465i	−0.140032	+	0.188105i
$125$	−11.0702	−	1.56575i	−0.990145	−	0.140045i
$126$	9.08011	+	5.97192i	0.808920	+	0.532021i
$127$	2.71886	−	10.1469i	0.241260	−	0.900394i	−0.733967	−	0.679185i	$-0.762333\pi$
$127$	2.71886	−	10.1469i	0.241260	−	0.900394i	0.975227	−	0.221209i	$-0.0710002\pi$
$128$	7.01639	−	8.87527i	0.620167	−	0.784470i
$129$		−	26.3500i		−	2.31999i
$130$	11.4016	+	0.0489783i	0.999991	+	0.00429568i
$131$			10.8739i			0.950055i	0.879971	+	0.475027i	$0.157562\pi$
$131$			10.8739i			0.950055i	−0.879971	+	0.475027i	$0.842438\pi$
$132$	18.5241	+	7.35860i	1.61231	+	0.640484i
$133$	−3.27814	+	12.2342i	−0.284251	+	1.06084i
$134$	11.4121	−	17.3517i	0.985855	−	1.49896i
$135$	7.20068	+	7.90887i	0.619736	+	0.680687i
$136$	4.43265	−	5.28303i	0.380097	−	0.453016i
$137$	5.34716	+	19.9559i	0.456839	+	1.70495i	0.682625	+	0.730769i	$0.260838\pi$
$137$	5.34716	+	19.9559i	0.456839	+	1.70495i	−0.225786	+	0.974177i	$0.572495\pi$
$138$	11.0870	+	12.4580i	0.943785	+	1.06050i
$139$	−2.86903	+	4.96930i	−0.243348	+	0.421491i	−0.961666	−	0.274224i	$-0.911579\pi$
$139$	−2.86903	+	4.96930i	−0.243348	+	0.421491i	0.718318	+	0.695715i	$0.244912\pi$
$140$	6.63164	+	3.00109i	0.560476	+	0.253638i
$141$	−10.1337	−	17.5522i	−0.853415	−	1.47816i
$142$	1.53417	+	1.72389i	0.128744	+	0.144665i
$143$	−8.17831	+	10.0169i	−0.683905	+	0.837654i
$144$	−4.35439	+	18.3767i	−0.362866	+	1.53139i
$145$	−1.23693	+	0.638879i	−0.102722	+	0.0530560i
$146$	−1.63048	−	3.24646i	−0.134940	−	0.268679i
$147$	11.6776	−	3.12901i	0.963155	−	0.258077i
$148$	−2.92368	−	3.69741i	−0.240325	−	0.303925i
$149$	−8.88188	−	5.12796i	−0.727632	−	0.420099i	0.0899232	−	0.995949i	$-0.471338\pi$
$149$	−8.88188	−	5.12796i	−0.727632	−	0.420099i	−0.817555	+	0.575850i	$0.804671\pi$
$150$	15.3345	+	12.2851i	1.25206	+	1.00307i
$151$		−	11.6170i		−	0.945375i	−0.881230	−	0.472688i	$-0.843284\pi$
$151$		−	11.6170i		−	0.945375i	0.881230	−	0.472688i	$-0.156716\pi$
$152$	−21.9259	+	1.91910i	−1.77842	+	0.155659i
$153$	−2.97946	+	11.1195i	−0.240875	+	0.898957i
$154$	−7.37750	+	3.70524i	−0.594496	+	0.298576i
$155$	0.136690	−	2.91636i	0.0109792	−	0.234248i
$156$	−17.1946	−	10.2888i	−1.37667	−	0.823763i
$157$	8.73094	−	8.73094i	0.696805	−	0.696805i	−0.266915	−	0.963720i	$-0.586004\pi$
$157$	8.73094	−	8.73094i	0.696805	−	0.696805i	0.963720	+	0.266915i	$0.0860044\pi$
$158$	−18.7262	−	6.20491i	−1.48977	−	0.493636i
$159$	11.8969	+	20.6060i	0.943486	+	1.63417i
$160$	−0.958665	+	12.6127i	−0.0757891	+	0.997124i
$161$	−6.90744			−0.544383
$162$	0.249566	+	1.20857i	0.0196078	+	0.0949546i
$163$	2.32315	+	8.67010i	0.181963	+	0.679095i	0.995260	+	0.0972465i	$0.0310035\pi$
$163$	2.32315	+	8.67010i	0.181963	+	0.679095i	−0.813297	+	0.581848i	$0.802330\pi$
$164$	−0.996840	+	8.53036i	−0.0778401	+	0.666109i
$165$	−21.7719	+	4.75362i	−1.69494	+	0.370069i
$166$	−17.2220	+	8.64950i	−1.33669	+	0.671331i
$167$	3.49686	−	13.0504i	0.270595	−	1.00987i	−0.688141	−	0.725577i	$-0.741573\pi$
$167$	3.49686	−	13.0504i	0.270595	−	1.00987i	0.958736	−	0.284297i	$-0.0917602\pi$
$168$	−7.33786	−	10.4787i	−0.566128	−	0.808450i
$169$	9.73042	−	8.62085i	0.748493	−	0.663142i
$170$	−0.808100	+	7.66782i	−0.0619784	+	0.588095i
$171$	31.8178	−	18.3700i	2.43317	−	1.40479i
$172$	−7.00173	+	17.6257i	−0.533877	+	1.34395i
$173$	22.3711	−	5.99431i	1.70084	−	0.455739i	0.727690	−	0.685906i	$-0.240594\pi$
$173$	22.3711	−	5.99431i	1.70084	−	0.455739i	0.973151	+	0.230167i	$0.0739273\pi$
$174$	2.44252	+	0.142230i	0.185167	+	0.0107824i
$175$	−8.02352	+	1.36183i	−0.606521	+	0.102945i
$176$	−10.4355	−	9.84442i	−0.786607	−	0.742051i
$177$	−8.84913	+	8.84913i	−0.665141	+	0.665141i
$178$	−13.9351	+	2.87755i	−1.04448	+	0.215681i
$179$	6.79489	+	11.7691i	0.507874	+	0.879664i	0.999958	+	0.00911605i	$0.00290177\pi$
$179$	6.79489	+	11.7691i	0.507874	+	0.879664i	−0.492084	+	0.870547i	$0.663765\pi$
$180$	−7.44672	−	19.7580i	−0.555046	−	1.47267i
$181$	−4.86913			−0.361920			−0.180960	−	0.983490i	$-0.557920\pi$
$181$	−4.86913			−0.361920			−0.180960	+	0.983490i	$0.557920\pi$
$182$	7.91804	−	2.48703i	0.586924	−	0.184351i
$183$	−2.20616	+	2.20616i	−0.163084	+	0.163084i
$184$	−4.10579	−	11.2792i	−0.302683	−	0.831517i
$185$	5.02104	+	1.60082i	0.369154	+	0.117695i
$186$	−2.81944	+	4.28686i	−0.206731	+	0.314328i
$187$	−6.18346	−	6.18346i	−0.452180	−	0.452180i
$188$	2.11456	+	14.4335i	0.154220	+	1.05267i
$189$	6.74250	+	3.89278i	0.490445	+	0.283158i
$190$	19.1280	−	15.4807i	1.38769	−	1.12309i
$191$	−1.14176	−	0.659198i	−0.0826152	−	0.0476979i	0.458123	−	0.888889i	$-0.348522\pi$
$191$	−1.14176	−	0.659198i	−0.0826152	−	0.0476979i	−0.540739	+	0.841191i	$0.681855\pi$
$192$	12.7492	−	18.2106i	0.920093	−	1.31424i
$193$	−4.18024	+	15.6009i	−0.300900	+	1.12298i	0.635517	+	0.772087i	$0.280787\pi$
$193$	−4.18024	+	15.6009i	−0.300900	+	1.12298i	−0.936417	+	0.350889i	$0.885880\pi$
$194$	−0.358662	+	6.15932i	−0.0257504	+	0.442214i
$195$	22.3704	−	1.20625i	1.60198	−	0.0863813i
$196$	−8.64267	−	1.00996i	−0.617334	−	0.0721403i
$197$	−0.935210	−	0.250589i	−0.0666310	−	0.0178537i	0.225350	−	0.974278i	$-0.427648\pi$
$197$	−0.935210	−	0.250589i	−0.0666310	−	0.0178537i	−0.291981	+	0.956424i	$0.594314\pi$
$198$	22.7321	+	7.53229i	1.61550	+	0.535297i
$199$	−1.69256	+	2.93160i	−0.119982	+	0.207815i	−0.919760	−	0.392480i	$-0.871617\pi$
$199$	−1.69256	+	2.93160i	−0.119982	+	0.207815i	0.799778	+	0.600296i	$0.204950\pi$
$200$	−6.99294	−	12.2922i	−0.494476	−	0.869191i
$201$	20.4034	−	35.3397i	1.43914	−	2.49267i
$202$	−4.56211	−	22.0929i	−0.320989	−	1.55445i
$203$	−0.716568	+	0.716568i	−0.0502932	+	0.0502932i
$204$	8.09140	−	10.8692i	0.566511	−	0.760996i
$205$	−4.40647	−	8.53135i	−0.307761	−	0.595855i
$206$	−9.15570	+	4.59831i	−0.637908	+	0.320379i
$207$	14.1681	+	14.1681i	0.984748	+	0.984748i
$208$	8.76760	+	11.4512i	0.607924	+	0.793996i
$209$			27.9090i			1.93051i
$210$	13.3510	+	5.12929i	0.921309	+	0.353954i
$211$	−10.5140	+	6.07024i	−0.723811	+	0.417893i	−0.816154	−	0.577835i	$-0.803898\pi$
$211$	−10.5140	+	6.07024i	−0.723811	+	0.417893i	0.0923426	+	0.995727i	$0.470565\pi$
$212$	−2.48247	−	16.9447i	−0.170497	−	1.16377i
$213$	3.20624	+	3.20624i	0.219688	+	0.219688i
$214$	−3.76702	+	5.72763i	−0.257508	+	0.391533i
$215$	−4.52308	−	20.7160i	−0.308471	−	1.41282i
$216$	−2.34883	+	13.3238i	−0.159817	+	0.906568i
$217$	−0.550036	−	2.05276i	−0.0373389	−	0.139351i
$218$	2.47878	−	7.48085i	0.167884	−	0.506667i
$219$	−3.56908	−	6.18183i	−0.241176	−	0.417730i
$220$	15.8265	+	2.60550i	1.06702	+	0.175663i
$221$	5.13867	+	7.13282i	0.345665	+	0.479806i
$222$	−6.15725	−	6.91868i	−0.413248	−	0.464351i
$223$	−22.3258	−	5.98217i	−1.49504	−	0.400596i	−0.583607	−	0.812036i	$-0.698359\pi$
$223$	−22.3258	−	5.98217i	−1.49504	−	0.400596i	−0.911437	+	0.411441i	$0.865026\pi$
$224$	2.12393	+	8.95908i	0.141911	+	0.598604i
$225$	19.2506	+	13.6640i	1.28337	+	0.910932i
$226$	−6.76324	−	0.393829i	−0.449884	−	0.0261971i
$227$	−11.4945	+	3.07994i	−0.762917	+	0.204423i	−0.619240	−	0.785202i	$-0.712559\pi$
$227$	−11.4945	+	3.07994i	−0.762917	+	0.204423i	−0.143677	+	0.989625i	$0.545893\pi$
$228$	−42.7893	+	6.26881i	−2.83379	+	0.415162i
$229$		−	3.13554i		−	0.207202i	−0.994619	−	0.103601i	$-0.966963\pi$
$229$		−	3.13554i		−	0.207202i	0.994619	−	0.103601i	$-0.0330365\pi$
$230$	10.8549	+	7.89118i	0.715748	+	0.520329i
$231$	−14.0481	+	8.11066i	−0.924295	+	0.533642i
$232$	−1.59602	−	0.744164i	−0.104784	−	0.0488567i
$233$	−8.12381	−	8.12381i	−0.532208	−	0.532208i	0.389021	−	0.921229i	$-0.372813\pi$
$233$	−8.12381	−	8.12381i	−0.532208	−	0.532208i	−0.921229	+	0.389021i	$0.872813\pi$
$234$	−21.3422	−	11.1397i	−1.39518	−	0.728225i
$235$	−10.9799	−	12.0598i	−0.716249	−	0.786692i
$236$	8.27062	−	3.56784i	0.538371	−	0.232247i
$237$	−37.4409	−	10.0323i	−2.43205	−	0.651665i
$238$	1.13499	+	5.49643i	0.0735706	+	0.356280i
$239$	−1.91637			−0.123960			−0.0619800	−	0.998077i	$-0.519741\pi$
$239$	−1.91637			−0.123960			−0.0619800	+	0.998077i	$0.519741\pi$
$240$	−0.439808	+	24.8499i	−0.0283895	+	1.60405i
$241$	−2.52258	+	4.36924i	−0.162494	+	0.281448i	−0.935762	−	0.352631i	$-0.885287\pi$
$241$	−2.52258	+	4.36924i	−0.162494	+	0.281448i	0.773269	+	0.634079i	$0.218620\pi$
$242$	−1.96846	+	1.75182i	−0.126537	+	0.112611i
$243$	4.34161	+	16.2031i	0.278515	+	1.03943i
$244$	2.06193	−	0.889491i	0.132002	−	0.0569438i
$245$	8.64368	−	4.46449i	0.552224	−	0.285226i
$246$	−0.980987	+	16.8465i	−0.0625455	+	1.07410i
$247$	4.50029	−	27.6937i	0.286347	−	1.76211i
$248$	3.02504	−	2.11833i	0.192090	−	0.134514i
$249$	−32.7938	+	18.9335i	−2.07822	+	1.19986i
$250$	14.1645	+	7.02611i	0.895843	+	0.444371i
$251$	3.05278	+	1.76252i	0.192690	+	0.111250i	0.593241	−	0.805025i	$-0.297848\pi$
$251$	3.05278	+	1.76252i	0.192690	+	0.111250i	−0.400551	+	0.916274i	$0.631181\pi$
$252$	−9.53307	−	12.0559i	−0.600527	−	0.759451i
$253$	−14.7020	+	3.93938i	−0.924304	+	0.247666i
$254$	−8.16342	+	12.4122i	−0.512219	+	0.778812i
$255$	−0.709286	+	15.1331i	−0.0444172	+	0.947670i
$256$	−13.3669	+	8.79348i	−0.835433	+	0.549593i
$257$	14.5461	+	3.89761i	0.907360	+	0.243126i	0.682174	−	0.731190i	$-0.261035\pi$
$257$	14.5461	+	3.89761i	0.907360	+	0.243126i	0.225186	+	0.974316i	$0.427701\pi$
$258$	−11.7209	+	35.3733i	−0.729714	+	2.20224i
$259$	3.83612			0.238365
$260$	−15.2842	−	5.13739i	−0.947887	−	0.318608i
$261$	2.93955			0.181953
$262$	4.83688	−	14.5975i	0.298823	−	0.901836i
$263$	−14.7013	−	3.93921i	−0.906523	−	0.242902i	−0.224707	−	0.974426i	$-0.572143\pi$
$263$	−14.7013	−	3.93921i	−0.906523	−	0.242902i	−0.681815	+	0.731524i	$0.738809\pi$
$264$	−21.5942	−	18.1183i	−1.32903	−	1.11510i
$265$	12.8903	+	14.1580i	0.791842	+	0.869720i
$266$	9.84266	−	14.9654i	0.603492	−	0.917591i
$267$	−27.0056	+	7.23613i	−1.65272	+	0.442844i
$268$	−23.0384	+	18.2173i	−1.40729	+	1.11280i
$269$	3.41226	+	1.97007i	0.208049	+	0.120117i	0.600404	−	0.799697i	$-0.295006\pi$
$269$	3.41226	+	1.97007i	0.208049	+	0.120117i	−0.392355	+	0.919814i	$0.628340\pi$
$270$	−6.14847	−	13.8201i	−0.374184	−	0.841067i
$271$	−11.8323	+	6.83140i	−0.718763	+	0.414978i	−0.814297	−	0.580448i	$-0.802877\pi$
$271$	−11.8323	+	6.83140i	−0.718763	+	0.414978i	0.0955345	+	0.995426i	$0.469544\pi$
$272$	−8.30054	+	5.12042i	−0.503294	+	0.310471i
$273$	15.2475	−	5.78284i	0.922821	−	0.349993i
$274$	1.69848	−	29.1680i	0.102609	−	1.76210i
$275$	−16.3008	+	7.47444i	−0.982973	+	0.450726i
$276$	−9.34202	−	21.6558i	−0.562324	−	1.30352i
$277$	3.70359	+	13.8220i	0.222527	+	0.830482i	0.983380	+	0.181558i	$0.0581141\pi$
$277$	3.70359	+	13.8220i	0.222527	+	0.830482i	−0.760853	+	0.648924i	$0.775219\pi$
$278$	6.06192	−	5.39478i	0.363570	−	0.323558i
$279$	−3.08229	+	5.33868i	−0.184532	+	0.319618i
$280$	−7.56762	−	6.97864i	−0.452252	−	0.417053i
$281$	24.3832			1.45458			0.727288	−	0.686332i	$-0.240780\pi$
$281$	24.3832			1.45458			0.727288	+	0.686332i	$0.240780\pi$
$282$	5.79643	+	28.0703i	0.345172	+	1.67156i
$283$	19.0800	+	5.11248i	1.13419	+	0.303905i	0.776613	−	0.629978i	$-0.216936\pi$
$283$	19.0800	+	5.11248i	1.13419	+	0.303905i	0.357577	+	0.933883i	$0.383603\pi$
$284$	−1.29271	−	2.99663i	−0.0767082	−	0.177817i
$285$	35.7522	−	32.5509i	2.11778	−	1.92815i
$286$	15.4346	−	9.80919i	0.912664	−	0.580029i
$287$	−4.94231	−	4.94231i	−0.291735	−	0.291735i
$288$	14.0198	−	22.7327i	0.826123	−	1.33954i
$289$	9.57404	−	5.52757i	0.563179	−	0.325151i
$290$	1.94469	−	0.307448i	0.114196	−	0.0180540i
$291$			12.1227i			0.710648i
$292$	0.744744	+	5.08344i	0.0435828	+	0.297486i
$293$	9.25547	−	2.48000i	0.540711	−	0.144883i	0.0218809	−	0.999761i	$-0.493035\pi$
$293$	9.25547	−	2.48000i	0.540711	−	0.144883i	0.518830	+	0.854878i	$0.326368\pi$
$294$	−17.0683	−	0.993903i	−0.995446	−	0.0579656i
$295$	−5.43807	+	8.47604i	−0.316617	+	0.493494i
$296$	2.28019	+	6.26404i	0.132533	+	0.364090i
$297$	16.5710	+	4.44018i	0.961545	+	0.257645i
$298$	9.64237	+	10.8348i	0.558567	+	0.627641i
$299$	15.2237	−	1.53831i	0.880411	−	0.0889628i
$300$	−15.1210	−	23.3130i	−0.873011	−	1.34598i
$301$	−7.71730	−	13.3668i	−0.444818	−	0.770447i
$302$	−5.16742	+	15.5950i	−0.297352	+	0.897394i
$303$	−11.4723	−	42.8151i	−0.659065	−	2.45966i
$304$	30.2877	+	7.17673i	1.73712	+	0.411613i
$305$	−1.35575	+	2.11314i	−0.0776302	+	0.120998i
$306$	8.94587	−	13.6019i	0.511401	−	0.777569i
$307$	21.3133	+	21.3133i	1.21641	+	1.21641i	0.968880	+	0.247532i	$0.0796197\pi$
$307$	21.3133	+	21.3133i	1.21641	+	1.21641i	0.247532	+	0.968880i	$0.420380\pi$
$308$	11.5520	−	1.69241i	0.658236	−	0.0964342i
$309$	−17.4341	+	10.0656i	−0.991790	+	0.572610i
$310$	−1.48074	+	3.85423i	−0.0841006	+	0.218906i
$311$		−	14.8459i		−	0.841834i	−0.907099	−	0.420917i	$-0.861708\pi$
$311$		−	14.8459i		−	0.841834i	0.907099	−	0.420917i	$-0.138292\pi$
$312$	18.5060	+	21.4605i	1.04770	+	1.21496i
$313$	−7.47561	−	7.47561i	−0.422547	−	0.422547i	0.463533	−	0.886080i	$-0.346582\pi$
$313$	−7.47561	−	7.47561i	−0.422547	−	0.422547i	−0.886080	+	0.463533i	$0.846582\pi$
$314$	−15.6044	+	7.83707i	−0.880607	+	0.442271i
$315$	16.3718	+	5.21970i	0.922445	+	0.294097i
$316$	22.3787	+	16.6594i	1.25890	+	0.937165i
$317$	−3.96562	+	3.96562i	−0.222731	+	0.222731i	−0.809648	−	0.586916i	$-0.800342\pi$
$317$	−3.96562	+	3.96562i	−0.222731	+	0.222731i	0.586916	+	0.809648i	$0.300342\pi$
$318$	−6.80494	−	32.9543i	−0.381602	−	1.84798i
$319$	−1.11649	+	1.93382i	−0.0625116	+	0.108273i
$320$	6.89730	−	16.5054i	0.385571	−	0.922678i
$321$	−6.73494	+	11.6653i	−0.375908	+	0.651092i
$322$	9.27281	+	3.07255i	0.516753	+	0.171226i
$323$	18.3267	+	4.91062i	1.01972	+	0.273234i
$324$	0.202567	−	1.73345i	0.0112537	−	0.0963026i
$325$	17.3802	−	4.78829i	0.964081	−	0.265607i
$326$	0.737926	−	12.6724i	0.0408700	−	0.701862i
$327$	4.00775	−	14.9571i	0.221629	−	0.827132i
$328$	5.13264	−	11.0081i	0.283403	−	0.607819i
$329$	−10.2812	−	5.93587i	−0.566822	−	0.327255i
$330$	31.3419	+	3.30307i	1.72532	+	0.181828i
$331$	26.1015	+	15.0697i	1.43467	+	0.828307i	0.997472	−	0.0710589i	$-0.0226378\pi$
$331$	26.1015	+	15.0697i	1.43467	+	0.828307i	0.437197	+	0.899366i	$0.355971\pi$
$332$	26.9669	−	3.95076i	1.48000	−	0.216826i
$333$	−7.86837	−	7.86837i	−0.431184	−	0.431184i
$334$	−10.4994	+	15.9639i	−0.574500	+	0.873508i
$335$	9.97464	−	31.2858i	0.544973	−	1.70933i
$336$	5.18951	+	17.3310i	0.283111	+	0.945485i
$337$	−4.39714	+	4.39714i	−0.239527	+	0.239527i	−0.816654	−	0.577127i	$-0.804174\pi$
$337$	−4.39714	+	4.39714i	−0.239527	+	0.239527i	0.577127	+	0.816654i	$0.304174\pi$
$338$	−16.8972	+	7.24470i	−0.919085	+	0.394060i
$339$	−13.3114			−0.722974
$340$	4.49560	−	9.93412i	0.243808	−	0.538753i
$341$	−2.34142	−	4.05546i	−0.126795	−	0.219615i
$342$	−50.8847	+	10.5075i	−2.75153	+	0.568181i
$343$	13.0639	−	13.0639i	0.705382	−	0.705382i
$344$	17.2396	−	20.5469i	0.929496	−	1.10781i
$345$	22.1936	+	14.2390i	1.19486	+	0.766603i
$346$	−32.6981	−	1.90404i	−1.75786	−	0.102362i
$347$	0.978898	−	0.262295i	0.0525500	−	0.0140807i	−0.232448	−	0.972609i	$-0.574674\pi$
$347$	0.978898	−	0.262295i	0.0525500	−	0.0140807i	0.284998	+	0.958528i	$0.408007\pi$
$348$	−3.21566	−	1.27741i	−0.172378	−	0.0684763i
$349$	9.28718	−	5.36196i	0.497131	−	0.287019i	−0.230397	−	0.973097i	$-0.574002\pi$
$349$	9.28718	−	5.36196i	0.497131	−	0.287019i	0.727528	+	0.686078i	$0.240669\pi$
$350$	11.3768	+	1.74082i	0.608117	+	0.0930506i
$351$	−15.7271	−	7.07796i	−0.839452	−	0.377794i
$352$	9.63007	+	17.8574i	0.513285	+	0.951803i
$353$	−3.36868	+	12.5721i	−0.179297	+	0.669144i	0.816483	+	0.577369i	$0.195921\pi$
$353$	−3.36868	+	12.5721i	−0.179297	+	0.669144i	−0.995780	+	0.0917746i	$0.970746\pi$
$354$	15.8156	−	7.94316i	0.840592	−	0.422174i
$355$	3.07106	+	1.97034i	0.162995	+	0.104575i
$356$	19.9870	+	2.33564i	1.05931	+	0.123788i
$357$	2.85415	+	10.6518i	0.151058	+	0.563755i
$358$	−3.88663	−	18.8218i	−0.205415	−	0.994761i
$359$	0.252781			0.0133413			0.00667063	−	0.999978i	$-0.497877\pi$
$359$	0.252781			0.0133413			0.00667063	+	0.999978i	$0.497877\pi$
$360$	1.20809	+	29.8363i	0.0636717	+	1.57251i
$361$	−20.7767	−	35.9862i	−1.09351	−	1.89401i
$362$	6.53650	+	2.16587i	0.343551	+	0.113836i
$363$	−3.66112	+	3.66112i	−0.192159	+	0.192159i
$364$	−11.7357	−	0.183388i	−0.615120	−	0.00961213i
$365$	−3.86709	−	4.24742i	−0.202413	−	0.222320i
$366$	3.94296	−	1.98029i	0.206102	−	0.103512i
$367$	2.75541	−	10.2833i	0.143831	−	0.536786i	−0.855973	−	0.517020i	$-0.827041\pi$
$367$	2.75541	−	10.2833i	0.143831	−	0.536786i	0.999805	−	0.0197657i	$-0.00629204\pi$
$368$	0.494569	+	16.9680i	0.0257812	+	0.884518i
$369$			20.2746i			1.05546i
$370$	−6.02835	−	4.38244i	−0.313399	−	0.227832i
$371$	12.0700	+	6.96864i	0.626645	+	0.361794i
$372$	5.69179	−	4.50071i	0.295105	−	0.233351i
$373$	−6.46903	+	1.73337i	−0.334954	+	0.0897506i	−0.422376	−	0.906421i	$-0.638804\pi$
$373$	−6.46903	+	1.73337i	−0.334954	+	0.0897506i	0.0874222	+	0.996171i	$0.472137\pi$
$374$	5.55040	+	11.0514i	0.287005	+	0.571455i
$375$	28.5869	+	12.1641i	1.47622	+	0.628153i
$376$	3.58158	−	20.3166i	0.184706	−	1.04775i
$377$	1.41970	−	1.73887i	0.0731185	−	0.0895563i
$378$	−7.31981	−	8.22499i	−0.376490	−	0.423048i
$379$	−1.19425	−	2.06850i	−0.0613445	−	0.106252i	0.833722	−	0.552184i	$-0.186206\pi$
$379$	−1.19425	−	2.06850i	−0.0613445	−	0.106252i	−0.895067	+	0.445932i	$0.852872\pi$
$380$	−32.5643	+	12.2734i	−1.67051	+	0.629611i
$381$	−14.5952	+	25.2795i	−0.747732	+	1.29511i
$382$	1.23953	+	1.39281i	0.0634196	+	0.0712623i
$383$	7.61521	+	28.4203i	0.389119	+	1.45221i	0.831570	+	0.555419i	$0.187442\pi$
$383$	7.61521	+	28.4203i	0.389119	+	1.45221i	−0.442452	+	0.896792i	$0.645891\pi$
$384$	−25.2154	+	18.7756i	−1.28677	+	0.958138i
$385$	−9.65216	+	8.78787i	−0.491919	+	0.447871i
$386$	12.5512	−	19.0838i	0.638841	−	0.971338i
$387$	−11.5878	+	43.2462i	−0.589040	+	2.19833i
$388$	3.22125	−	8.10896i	0.163534	−	0.411670i
$389$			6.14476i			0.311552i	0.987792	+	0.155776i	$0.0497877\pi$
$389$			6.14476i			0.311552i	−0.987792	+	0.155776i	$0.950212\pi$
$390$	−30.5674	−	8.33142i	−1.54784	−	0.421878i
$391$			10.3473i			0.523284i
$392$	11.1530	+	5.20022i	0.563312	+	0.262651i
$393$	7.82039	−	29.1861i	0.394486	−	1.47224i
$394$	1.14400	+	0.752397i	0.0576337	+	0.0379052i
$395$	−31.1575	−	1.46035i	−1.56771	−	0.0734783i
$396$	−27.1660	−	20.2233i	−1.36514	−	1.01626i
$397$	−5.50165	−	20.5324i	−0.276120	−	1.03049i	−0.955087	−	0.296325i	$-0.904239\pi$
$397$	−5.50165	−	20.5324i	−0.276120	−	1.03049i	0.678968	−	0.734168i	$-0.262428\pi$
$398$	3.57618	−	3.18261i	0.179258	−	0.159530i
$399$	17.5974	−	30.4796i	0.880973	−	1.52589i
$400$	3.91980	+	19.6121i	0.195990	+	0.980606i
$401$	9.63948	+	16.6961i	0.481373	+	0.833762i	0.999771	−	0.0213771i	$-0.00680507\pi$
$401$	9.63948	+	16.6961i	0.481373	+	0.833762i	−0.518399	+	0.855139i	$0.673472\pi$
$402$	−43.1099	+	38.3655i	−2.15013	+	1.91350i
$403$	1.66942	+	4.40171i	0.0831595	+	0.219265i
$404$	−3.70295	+	31.6877i	−0.184229	+	1.57652i
$405$	0.895435	+	1.73365i	0.0444945	+	0.0861457i
$406$	1.28069	−	0.643206i	0.0635595	−	0.0319218i
$407$	8.16488	−	2.18777i	0.404718	−	0.108444i
$408$	−15.6970	+	10.9920i	−0.777117	+	0.544187i
$409$	2.80850	+	1.62149i	0.138871	+	0.0801773i	0.567826	−	0.823149i	$-0.307785\pi$
$409$	2.80850	+	1.62149i	0.138871	+	0.0801773i	−0.428955	+	0.903326i	$0.641118\pi$
$410$	2.12053	+	13.4129i	0.104725	+	0.662415i
$411$		−	57.4083i		−	2.83174i
$412$	14.3364	−	2.10033i	0.706302	−	0.103476i
$413$	−1.89726	+	7.08066i	−0.0933579	+	0.348416i
$414$	−12.7175	−	25.3219i	−0.625033	−	1.24450i
$415$	−22.5320	+	20.5144i	−1.10605	+	1.00701i
$416$	−6.67628	−	19.2724i	−0.327332	−	0.944910i
$417$	11.2745	−	11.2745i	0.552115	−	0.552115i
$418$	12.4144	−	37.4661i	0.607209	−	1.83253i
$419$	−9.54797	−	16.5376i	−0.466449	−	0.807913i	0.532817	−	0.846231i	$-0.321133\pi$
$419$	−9.54797	−	16.5376i	−0.466449	−	0.807913i	−0.999266	+	0.0383175i	$0.987800\pi$
$420$	−15.6413	−	12.8245i	−0.763219	−	0.625772i
$421$	12.4298			0.605790			0.302895	−	0.953024i	$-0.402047\pi$
$421$	12.4298			0.605790			0.302895	+	0.953024i	$0.402047\pi$
$422$	16.8145	−	3.47213i	0.818516	−	0.169021i
$423$	8.91289	+	33.2634i	0.433360	+	1.61732i
$424$	−4.20474	+	23.8515i	−0.204200	+	1.15833i
$425$	2.04001	+	12.0191i	0.0989552	+	0.583014i
$426$	−2.87799	−	5.73036i	−0.139439	−	0.277637i
$427$	−0.473001	+	1.76526i	−0.0228901	+	0.0854271i
$428$	7.60473	−	6.01335i	0.367588	−	0.290666i
$429$	29.1551	−	21.0041i	1.40762	−	1.01409i
$430$	−3.14288	+	29.8219i	−0.151563	+	1.43814i
$431$	−20.9803	+	12.1130i	−1.01058	+	0.583461i	−0.911363	−	0.411605i	$-0.864968\pi$
$431$	−20.9803	+	12.1130i	−1.01058	+	0.583461i	−0.0992212	+	0.995065i	$0.531635\pi$
$432$	9.07979	−	16.8415i	0.436852	−	0.810289i
$433$	−17.9769	+	4.81691i	−0.863917	+	0.231486i	−0.663455	−	0.748216i	$-0.730911\pi$
$433$	−17.9769	+	4.81691i	−0.863917	+	0.231486i	−0.200461	+	0.979702i	$0.564244\pi$
$434$	−0.174714	+	3.00037i	−0.00838654	+	0.144022i
$435$	3.77947	−	0.825198i	0.181212	−	0.0395652i
$436$	−6.65521	+	8.93997i	−0.318727	+	0.428147i
$437$	23.3512	−	23.3512i	1.11704	−	1.11704i
$438$	2.04149	+	9.88631i	0.0975461	+	0.472386i
$439$	−13.1369	−	22.7538i	−0.626991	−	1.08598i	−0.988152	−	0.153477i	$-0.950953\pi$
$439$	−13.1369	−	22.7538i	−0.626991	−	1.08598i	0.361161	−	0.932503i	$-0.382380\pi$
$440$	−20.0871	−	10.5376i	−0.957614	−	0.502360i
$441$	−20.5416			−0.978170
$442$	−3.72555	−	11.8611i	−0.177206	−	0.564177i
$443$	−0.0504652	+	0.0504652i	−0.00239767	+	0.00239767i	−0.708305	−	0.705907i	$-0.750540\pi$
$443$	−0.0504652	+	0.0504652i	−0.00239767	+	0.00239767i	0.705907	+	0.708305i	$0.250540\pi$
$444$	5.18819	+	12.0267i	0.246220	+	0.570764i
$445$	−19.9893	+	10.3245i	−0.947584	+	0.489430i
$446$	27.3100	+	17.9616i	1.29316	+	0.850504i
$447$	20.1515	+	20.1515i	0.953133	+	0.953133i
$448$	1.13390	−	12.9718i	0.0535717	−	0.612858i
$449$	23.0213	+	13.2913i	1.08644	+	0.627257i	0.932627	−	0.360843i	$-0.117511\pi$
$449$	23.0213	+	13.2913i	1.08644	+	0.627257i	0.153814	+	0.988100i	$0.450844\pi$
$450$	−19.7647	−	26.9060i	−0.931718	−	1.26836i
$451$	−13.3380	−	7.70068i	−0.628060	−	0.362611i
$452$	8.90405	+	3.53709i	0.418811	+	0.166371i
$453$	−8.35481	+	31.1806i	−0.392543	+	1.46499i
$454$	16.8007	+	0.978316i	0.788494	+	0.0459146i
$455$	10.9947	−	7.16367i	0.515440	−	0.335838i
$456$	60.2305	+	10.6179i	2.82055	+	0.497230i
$457$	2.81434	+	0.754100i	0.131649	+	0.0352753i	0.324042	−	0.946043i	$-0.394958\pi$
$457$	2.81434	+	0.754100i	0.131649	+	0.0352753i	−0.192393	+	0.981318i	$0.561625\pi$
$458$	−1.39474	+	4.20926i	−0.0651719	+	0.196686i
$459$	5.83135	−	10.1002i	0.272184	−	0.471436i
$460$	−11.0618	−	15.4218i	−0.515761	−	0.719047i
$461$	−2.02439	+	3.50635i	−0.0942852	+	0.163307i	−0.909310	−	0.416119i	$-0.863390\pi$
$461$	−2.02439	+	3.50635i	−0.0942852	+	0.163307i	0.815025	+	0.579426i	$0.196723\pi$
$462$	22.4664	−	4.63923i	1.04523	−	0.215837i
$463$	1.00382	−	1.00382i	0.0466515	−	0.0466515i	−0.683396	−	0.730048i	$-0.739498\pi$
$463$	1.00382	−	1.00382i	0.0466515	−	0.0466515i	0.730048	+	0.683396i	$0.239498\pi$
$464$	1.81154	+	1.70893i	0.0840987	+	0.0793351i
$465$	−2.46430	+	7.72938i	−0.114279	+	0.358441i
$466$	7.29210	+	14.5193i	0.337800	+	0.672594i
$467$	6.81583	+	6.81583i	0.315399	+	0.315399i	0.846997	−	0.531598i	$-0.178408\pi$
$467$	6.81583	+	6.81583i	0.315399	+	0.315399i	−0.531598	+	0.846997i	$0.678408\pi$
$468$	23.6954	+	24.4477i	1.09532	+	1.13010i
$469$		−	23.9026i		−	1.10372i
$470$	9.37543	+	21.0735i	0.432456	+	0.972048i
$471$	−29.7135	+	17.1551i	−1.36913	+	0.790466i
$472$	−12.6898	+	1.11070i	−0.584096	+	0.0511239i
$473$	−24.0489	−	24.0489i	−1.10577	−	1.10577i
$474$	45.7996	+	30.1220i	2.10364	+	1.38355i
$475$	22.5204	−	31.7280i	1.03331	−	1.45578i
$476$	0.921245	−	7.88347i	0.0422252	−	0.361338i
$477$	−10.4636	−	39.0508i	−0.479097	−	1.78801i
$478$	2.57261	+	0.852435i	0.117669	+	0.0389895i
$479$	11.1084	+	19.2404i	0.507558	+	0.879116i	0.999962	+	0.00874908i	$0.00278495\pi$
$479$	11.1084	+	19.2404i	0.507558	+	0.879116i	−0.492404	+	0.870367i	$0.663882\pi$
$480$	11.6441	−	33.1638i	0.531477	−	1.51371i
$481$	−8.45465	+	0.854316i	−0.385499	+	0.0389535i
$482$	5.32992	−	4.74335i	0.242771	−	0.216053i
$483$	18.5400	+	4.96777i	0.843598	+	0.226041i
$484$	3.42177	−	1.47611i	0.155535	−	0.0670959i
$485$	2.08091	+	9.53071i	0.0944892	+	0.432767i
$486$	1.37907	−	23.6829i	0.0625561	−	1.07428i
$487$	−32.7647	+	8.77927i	−1.48471	+	0.397827i	−0.907947	−	0.419085i	$-0.862351\pi$
$487$	−32.7647	+	8.77927i	−1.48471	+	0.397827i	−0.576763	+	0.816912i	$0.695684\pi$
$488$	−3.16367	+	0.276905i	−0.143213	+	0.0125349i
$489$		−	24.9418i		−	1.12791i
$490$	−13.5895	+	2.14845i	−0.613910	+	0.0970569i
$491$	1.23956	−	0.715659i	0.0559404	−	0.0322972i	−0.471769	−	0.881722i	$-0.656384\pi$
$491$	1.23956	−	0.715659i	0.0559404	−	0.0322972i	0.527709	+	0.849425i	$0.323051\pi$
$492$	8.81053	−	22.1791i	0.397209	−	0.999909i
$493$	1.07341	+	1.07341i	0.0483440	+	0.0483440i
$494$	−18.3600	+	35.1752i	−0.826054	+	1.58261i
$495$	37.8229	+	1.77276i	1.70001	+	0.0796795i
$496$	−5.00319	+	1.49813i	−0.224650	+	0.0672681i
$497$	2.56548	+	0.687419i	0.115078	+	0.0308349i
$498$	52.4455	−	10.8298i	2.35014	−	0.485296i
$499$	−15.4987			−0.693818			−0.346909	−	0.937899i	$-0.612769\pi$
$499$	−15.4987			−0.693818			−0.346909	+	0.937899i	$0.612769\pi$
$500$	−15.8897	−	15.7327i	−0.710607	−	0.703589i
$501$	−18.7715	+	32.5132i	−0.838650	+	1.45258i
$502$	−3.31417	−	3.72401i	−0.147919	−	0.166211i
$503$	−8.29008	−	30.9390i	−0.369637	−	1.37950i	−0.861025	−	0.508562i	$-0.830177\pi$
$503$	−8.29008	−	30.9390i	−0.369637	−	1.37950i	0.491389	−	0.870940i	$-0.336489\pi$
$504$	7.43488	+	20.4248i	0.331176	+	0.909792i
$505$	−16.3687	−	31.6913i	−0.728397	−	1.41025i
$506$	21.4888	+	1.25131i	0.955292	+	0.0556274i
$507$	−32.3170	+	16.1408i	−1.43525	+	0.716839i
$508$	16.4800	−	13.0314i	0.731184	−	0.578175i
$509$	−29.2758	+	16.9024i	−1.29763	+	0.749185i	−0.979994	−	0.199029i	$-0.936221\pi$
$509$	−29.2758	+	16.9024i	−1.29763	+	0.749185i	−0.317632	+	0.948214i	$0.602888\pi$
$510$	7.68361	−	19.9997i	0.340236	−	0.885601i
$511$	−3.62102	−	2.09060i	−0.160185	−	0.0924827i
$512$	21.8557	−	5.85887i	0.965897	−	0.258928i
$513$	−35.9535	+	9.63370i	−1.58738	+	0.425338i
$514$	−17.7935	−	11.7026i	−0.784837	−	0.516181i
$515$	−11.9786	+	10.9060i	−0.527841	+	0.480576i
$516$	31.4693	−	42.2728i	1.38536	−	1.86095i
$517$	−25.2681	−	6.77056i	−1.11129	−	0.297769i
$518$	−5.14975	−	1.70637i	−0.226267	−	0.0749735i
$519$	−64.3563			−2.82493
$520$	18.2329	+	13.6953i	0.799566	+	0.600579i
$521$	12.9617			0.567861			0.283930	−	0.958845i	$-0.408362\pi$
$521$	12.9617			0.567861			0.283930	+	0.958845i	$0.408362\pi$
$522$	−3.94616	−	1.30756i	−0.172719	−	0.0572303i
$523$	−15.3124	−	4.10294i	−0.669563	−	0.179409i	−0.0920051	−	0.995759i	$-0.529328\pi$
$523$	−15.3124	−	4.10294i	−0.669563	−	0.179409i	−0.577558	+	0.816350i	$0.695994\pi$
$524$	−12.9864	+	17.4447i	−0.567314	+	0.762075i
$525$	22.5150	+	2.11520i	0.982635	+	0.0923149i
$526$	17.9834	+	11.8275i	0.784113	+	0.515705i
$527$	−3.07502	+	0.823948i	−0.133950	+	0.0358918i
$528$	20.9295	+	33.9281i	0.910840	+	1.47653i
$529$	−4.32158	−	2.49507i	−0.187895	−	0.108481i
$530$	−11.0066	−	24.7400i	−0.478098	−	1.07464i
$531$	18.4149	−	10.6318i	0.799137	−	0.461382i
$532$	−19.8700	+	15.7120i	−0.861475	+	0.681201i
$533$	11.9933	+	9.79198i	0.519488	+	0.424138i
$534$	39.4721	+	2.29849i	1.70813	+	0.0994655i
$535$	−3.29253	+	10.3271i	−0.142348	+	0.446481i
$536$	39.0309	−	14.2078i	1.68588	−	0.613682i
$537$	−9.77364	−	36.4757i	−0.421764	−	1.57404i
$538$	−3.70442	−	4.16252i	−0.159709	−	0.179459i
$539$	7.80206	−	13.5136i	0.336059	−	0.582071i
$540$	2.10651	+	21.2876i	0.0906497	+	0.916073i
$541$	−35.8818			−1.54268			−0.771340	−	0.636423i	$-0.780413\pi$
$541$	−35.8818			−1.54268			−0.771340	+	0.636423i	$0.780413\pi$
$542$	18.9229	−	3.90751i	0.812807	−	0.167842i
$543$	13.0690	+	3.50183i	0.560845	+	0.150278i
$544$	13.4206	−	3.18163i	0.575404	−	0.136411i
$545$	0.583391	−	12.4470i	0.0249897	−	0.533172i
$546$	−23.0411	+	0.980760i	−0.986069	+	0.0419727i
$547$	−13.9453	−	13.9453i	−0.596256	−	0.596256i	0.343058	−	0.939314i	$-0.388537\pi$
$547$	−13.9453	−	13.9453i	−0.596256	−	0.596256i	−0.939314	+	0.343058i	$0.888537\pi$
$548$	−15.2545	+	38.4007i	−0.651641	+	1.64040i
$549$	4.59097	−	2.65060i	0.195938	−	0.113125i
$550$	25.2075	−	2.78312i	1.07485	−	0.118673i
$551$		−	4.84484i		−	0.206397i
$552$	2.90824	+	33.2270i	0.123783	+	1.41423i
$553$	−21.9311	+	5.87642i	−0.932606	+	0.249891i
$554$	1.17641	−	20.2026i	0.0499809	−	0.858325i
$555$	−12.3254	−	7.90778i	−0.523186	−	0.335667i
$556$	−10.5374	+	4.54572i	−0.446887	+	0.192781i
$557$	24.2353	+	6.49383i	1.02688	+	0.275152i	0.732667	−	0.680587i	$-0.238275\pi$
$557$	24.2353	+	6.49383i	1.02688	+	0.275152i	0.294215	+	0.955739i	$0.404942\pi$
$558$	6.51251	−	5.79579i	0.275697	−	0.245355i
$559$	19.9855	+	27.7411i	0.845295	+	1.17333i
$560$	7.05485	+	12.7346i	0.298122	+	0.538135i
$561$	12.1497	+	21.0439i	0.512960	+	0.888472i
$562$	−32.7329	−	10.8460i	−1.38075	−	0.457512i
$563$	−8.59188	−	32.0653i	−0.362105	−	1.35139i	−0.871304	−	0.490744i	$-0.836725\pi$
$563$	−8.59188	−	32.0653i	−0.362105	−	1.35139i	0.509199	−	0.860649i	$-0.329942\pi$
$564$	4.70482	−	40.2610i	0.198108	−	1.69529i
$565$	−10.4652	+	2.28494i	−0.440274	+	0.0961282i
$566$	−23.3396	−	15.3503i	−0.981038	−	0.645221i
$567$	1.00432	+	1.00432i	0.0421775	+	0.0421775i
$568$	0.402430	+	4.59781i	0.0168856	+	0.192920i
$569$	−27.4079	+	15.8240i	−1.14900	+	0.663375i	−0.948643	−	0.316348i	$-0.897543\pi$
$569$	−27.4079	+	15.8240i	−1.14900	+	0.663375i	−0.200356	+	0.979723i	$0.564210\pi$
$570$	−62.4743	+	27.7943i	−2.61676	+	1.16418i
$571$			21.7371i			0.909671i	0.890575	+	0.454836i	$0.150302\pi$
$571$			21.7371i			0.909671i	−0.890575	+	0.454836i	$0.849698\pi$
$572$	−25.0832	+	6.30268i	−1.04878	+	0.263528i
$573$	2.59047	+	2.59047i	0.108219	+	0.108219i
$574$	4.43632	+	8.83316i	0.185168	+	0.368689i
$575$	19.8925	+	7.38489i	0.829573	+	0.307971i
$576$	−28.9326	+	24.2810i	−1.20552	+	1.01171i
$577$	0.513900	−	0.513900i	0.0213939	−	0.0213939i	−0.696329	−	0.717723i	$-0.745184\pi$
$577$	0.513900	−	0.513900i	0.0213939	−	0.0213939i	0.717723	+	0.696329i	$0.245184\pi$
$578$	−15.3113	+	3.16173i	−0.636866	+	0.131511i
$579$	22.4400	−	38.8672i	0.932575	−	1.61527i
$580$	−2.74738	−	0.452299i	−0.114079	−	0.0187807i
$581$	−11.0903	+	19.2090i	−0.460105	+	0.796925i
$582$	5.39240	−	16.2740i	0.223522	−	0.674580i
$583$	29.6644	+	7.94856i	1.22857	+	0.329196i
$584$	1.26142	−	7.15547i	0.0521981	−	0.296095i
$585$	−37.2452	−	7.85796i	−1.53990	−	0.324887i
$586$	−13.5280	−	0.787749i	−0.558838	−	0.0325416i
$587$	−6.13126	+	22.8822i	−0.253064	+	0.944448i	0.716093	+	0.698005i	$0.245929\pi$
$587$	−6.13126	+	22.8822i	−0.253064	+	0.944448i	−0.969157	+	0.246443i	$0.920738\pi$
$588$	22.4711	+	8.92653i	0.926691	+	0.368124i
$589$	8.79899	+	5.08010i	0.362556	+	0.209322i
$590$	11.0705	−	8.95960i	0.455767	−	0.368861i
$591$	2.32994	+	1.34519i	0.0958408	+	0.0553337i
$592$	−0.274664	−	9.42335i	−0.0112886	−	0.387297i
$593$	−6.76065	−	6.76065i	−0.277627	−	0.277627i	0.554534	−	0.832161i	$-0.312896\pi$
$593$	−6.76065	−	6.76065i	−0.277627	−	0.277627i	−0.832161	+	0.554534i	$0.812896\pi$
$594$	−20.2704	−	13.3317i	−0.831706	−	0.547006i
$595$	4.07231	+	7.88439i	0.166949	+	0.323228i
$596$	−8.12479	−	18.8341i	−0.332804	−	0.771474i
$597$	6.65130	−	6.65130i	0.272220	−	0.272220i
$598$	−21.1212	−	4.70668i	−0.863709	−	0.192471i
$599$	14.7434			0.602399			0.301199	−	0.953561i	$-0.402613\pi$
$599$	14.7434			0.602399			0.301199	+	0.953561i	$0.402613\pi$
$600$	9.92900	+	38.0223i	0.405350	+	1.55225i
$601$	20.2446	+	35.0646i	0.825793	+	1.43031i	0.901312	+	0.433170i	$0.142605\pi$
$601$	20.2446	+	35.0646i	0.825793	+	1.43031i	−0.0755194	+	0.997144i	$0.524061\pi$
$602$	4.41424	+	21.3768i	0.179911	+	0.871254i
$603$	−49.0274	+	49.0274i	−1.99655	+	1.99655i
$604$	13.8739	−	18.6368i	0.564520	−	0.758321i
$605$	−2.24987	+	3.50676i	−0.0914702	+	0.142570i
$606$	−3.64407	+	62.5797i	−0.148030	+	2.54213i
$607$	9.72738	−	2.60644i	0.394822	−	0.105792i	−0.0559450	−	0.998434i	$-0.517817\pi$
$607$	9.72738	−	2.60644i	0.394822	−	0.105792i	0.450767	+	0.892642i	$0.351150\pi$
$608$	−37.4671	−	23.1068i	−1.51949	−	0.937104i
$609$	2.43866	−	1.40796i	0.0988194	−	0.0570534i
$610$	2.75997	−	2.23370i	0.111748	−	0.0904398i
$611$	23.9813	+	10.7928i	0.970181	+	0.436628i
$612$	−18.0596	+	14.2804i	−0.730017	+	0.577252i
$613$	9.73256	−	36.3224i	0.393094	−	1.46705i	−0.431908	−	0.901918i	$-0.642159\pi$
$613$	9.73256	−	36.3224i	0.393094	−	1.46705i	0.825002	−	0.565130i	$-0.191174\pi$
$614$	−19.1312	−	38.0922i	−0.772073	−	1.53728i
$615$	5.69155	+	26.0677i	0.229506	+	1.05115i
$616$	−16.2606	−	2.86656i	−0.655160	−	0.115497i
$617$	−6.79218	−	25.3488i	−0.273443	−	1.02050i	−0.956878	−	0.290491i	$-0.906181\pi$
$617$	−6.79218	−	25.3488i	−0.273443	−	1.02050i	0.683435	−	0.730012i	$-0.260485\pi$
$618$	27.8815	−	5.75743i	1.12156	−	0.231598i
$619$	18.3244			0.736521			0.368261	−	0.929723i	$-0.379953\pi$
$619$	18.3244			0.736521			0.368261	+	0.929723i	$0.379953\pi$
$620$	3.70223	−	4.51541i	0.148685	−	0.181343i
$621$	−10.1497	−	17.5798i	−0.407294	−	0.705453i
$622$	−6.60370	+	19.9297i	−0.264784	+	0.799108i
$623$	−11.5800	+	11.5800i	−0.463944	+	0.463944i
$624$	−15.2972	−	37.0412i	−0.612376	−	1.48283i
$625$	24.5626	+	4.65622i	0.982503	+	0.186249i
$626$	6.71026	+	13.3608i	0.268196	+	0.534006i
$627$	20.0719	−	74.9095i	0.801596	−	2.99160i
$628$	24.4340	−	3.57968i	0.975022	−	0.142845i
$629$		−	5.74646i		−	0.229126i
$630$	−19.6563	−	14.2896i	−0.783125	−	0.569310i
$631$	−1.70244	−	0.982903i	−0.0677730	−	0.0391288i	0.465731	−	0.884927i	$-0.345792\pi$
$631$	−1.70244	−	0.982903i	−0.0677730	−	0.0391288i	−0.533504	+	0.845798i	$0.679125\pi$
$632$	−22.6316	−	32.3186i	−0.900235	−	1.28557i
$633$	32.5857	−	8.73132i	1.29517	−	0.347039i
$634$	7.08757	−	3.55962i	0.281483	−	0.141371i
$635$	−7.13517	+	22.3797i	−0.283150	+	0.888111i
$636$	−5.52340	+	47.2660i	−0.219017	+	1.87422i
$637$	−9.92090	+	12.1512i	−0.393080	+	0.481449i
$638$	2.35902	−	2.09940i	0.0933945	−	0.0831161i
$639$	−3.85215	−	6.67212i	−0.152389	−	0.263945i
$640$	−16.6011	+	19.0894i	−0.656214	+	0.754575i
$641$	8.11976	−	14.0638i	0.320711	−	0.555488i	−0.659924	−	0.751332i	$-0.729411\pi$
$641$	8.11976	−	14.0638i	0.320711	−	0.555488i	0.980635	+	0.195845i	$0.0627448\pi$
$642$	14.2301	−	12.6641i	0.561619	−	0.499811i
$643$	−3.65037	−	13.6234i	−0.143957	−	0.537253i	−0.999800	−	0.0200175i	$-0.993628\pi$
$643$	−3.65037	−	13.6234i	−0.143957	−	0.537253i	0.855843	−	0.517235i	$-0.173039\pi$
$644$	−11.0814	−	8.24940i	−0.436670	−	0.325072i
$645$	−2.75857	+	58.8559i	−0.108619	+	2.31745i
$646$	−22.4181	−	14.7442i	−0.882027	−	0.580103i
$647$	5.35176	−	19.9730i	0.210399	−	0.785221i	−0.777336	−	0.629085i	$-0.783430\pi$
$647$	5.35176	−	19.9730i	0.210399	−	0.785221i	0.987736	−	0.156136i	$-0.0499037\pi$
$648$	−1.04300	+	2.23694i	−0.0409729	+	0.0878753i
$649$			16.1527i			0.634047i
$650$	−25.4618	−	1.30303i	−0.998693	−	0.0511091i
$651$			5.90531i			0.231448i
$652$	−6.62753	+	16.6837i	−0.259554	+	0.653385i
$653$	6.47591	−	24.1684i	0.253422	−	0.945783i	−0.715540	−	0.698572i	$-0.753819\pi$
$653$	6.47591	−	24.1684i	0.253422	−	0.945783i	0.968962	−	0.247211i	$-0.0795142\pi$
$654$	−12.0333	+	18.2963i	−0.470541	+	0.715442i
$655$	1.13838	−	24.2881i	0.0444802	−	0.949013i
$656$	−11.7868	+	12.4946i	−0.460198	+	0.487830i
$657$	3.13910	+	11.7153i	0.122468	+	0.457057i
$658$	11.1615	+	12.5418i	0.435122	+	0.488930i
$659$	−17.3156	+	29.9915i	−0.674521	+	1.16830i	0.302088	+	0.953280i	$0.402316\pi$
$659$	−17.3156	+	29.9915i	−0.674521	+	1.16830i	−0.976609	+	0.215024i	$0.931017\pi$
$660$	−40.6053	−	18.3756i	−1.58056	−	0.715268i
$661$	−10.6936	−	18.5219i	−0.415934	−	0.720418i	0.579592	−	0.814907i	$-0.303212\pi$
$661$	−10.6936	−	18.5219i	−0.415934	−	0.720418i	−0.995526	+	0.0944882i	$0.969879\pi$
$662$	−28.3364	−	31.8405i	−1.10133	−	1.23752i
$663$	−8.66263	−	22.8406i	−0.336429	−	0.887055i
$664$	−37.9588	−	6.69169i	−1.47309	−	0.259688i
$665$	8.60289	−	26.9833i	0.333606	−	1.04637i
$666$	7.06282	+	14.0628i	0.273679	+	0.544922i
$667$	2.55217	−	0.683851i	0.0988203	−	0.0264788i
$668$	21.1958	−	16.7603i	0.820089	−	0.648476i
$669$	55.6213	+	32.1130i	2.15044	+	1.24156i
$670$	−27.3068	+	37.5624i	−1.05495	+	1.45116i
$671$			4.02698i			0.155460i
$672$	0.742530	−	25.5742i	0.0286437	−	0.986546i
$673$	−6.26610	+	23.3854i	−0.241540	+	0.901441i	0.733550	+	0.679635i	$0.237862\pi$
$673$	−6.26610	+	23.3854i	−0.241540	+	0.901441i	−0.975091	+	0.221806i	$0.928805\pi$
$674$	7.85880	−	3.94696i	0.302710	−	0.152031i
$675$	−15.2556	−	18.4192i	−0.587188	−	0.708956i
$676$	25.9060	−	2.20941i	0.996383	−	0.0849773i
$677$	−16.6409	+	16.6409i	−0.639560	+	0.639560i	−0.950447	−	0.310887i	$-0.899374\pi$
$677$	−16.6409	+	16.6409i	−0.639560	+	0.639560i	0.310887	+	0.950447i	$0.399374\pi$
$678$	17.8697	+	5.92112i	0.686281	+	0.227399i
$679$	3.55046	+	6.14958i	0.136254	+	0.235999i
$680$	−10.4539	+	11.3362i	−0.400890	+	0.434724i
$681$	33.0670			1.26713
$682$	1.33927	+	6.48570i	0.0512834	+	0.248350i
$683$	−0.305760	−	1.14111i	−0.0116996	−	0.0436634i	0.959829	−	0.280585i	$-0.0905283\pi$
$683$	−0.305760	−	1.14111i	−0.0116996	−	0.0436634i	−0.971529	+	0.236921i	$0.923862\pi$
$684$	72.9834	+	8.52868i	2.79059	+	0.326102i
$685$	−9.85434	−	45.1336i	−0.376515	−	1.72446i
$686$	−23.3484	+	11.7264i	−0.891447	+	0.447716i
$687$	−2.25505	+	8.41596i	−0.0860355	+	0.321089i
$688$	−32.2827	+	19.9145i	−1.23076	+	0.759232i
$689$	−28.1538	−	12.6706i	−1.07258	−	0.482710i
$690$	−23.4598	−	28.9871i	−0.893099	−	1.10352i
$691$	−15.5616	+	8.98449i	−0.591991	+	0.341786i	−0.765884	−	0.642978i	$-0.777698\pi$
$691$	−15.5616	+	8.98449i	−0.591991	+	0.341786i	0.173894	+	0.984764i	$0.444365\pi$
$692$	43.0482	+	17.1007i	1.63645	+	0.650072i
$693$	26.6227	−	7.13353i	1.01131	−	0.270980i
$694$	−1.43078	−	0.0833156i	−0.0543118	−	0.00316262i
$695$	6.92854	−	10.7992i	0.262814	−	0.409635i
$696$	3.74861	+	3.14522i	0.142091	+	0.119219i
$697$	−7.40352	+	7.40352i	−0.280428	+	0.280428i
$698$	−14.8525	+	3.06700i	−0.562177	+	0.116088i
$699$	15.9622	+	27.6473i	0.603745	+	1.04572i
$700$	−14.4983	−	7.39754i	−0.547986	−	0.279601i
$701$	−27.1074			−1.02383			−0.511916	−	0.859036i	$-0.671064\pi$
$701$	−27.1074			−1.02383			−0.511916	+	0.859036i	$0.671064\pi$
$702$	17.9643	+	16.4974i	0.678019	+	0.622655i
$703$	−12.9683	+	12.9683i	−0.489109	+	0.489109i
$704$	−4.98450	−	28.2561i	−0.187860	−	1.06494i
$705$	20.7974	+	40.2657i	0.783274	+	1.51649i
$706$	10.1145	−	15.3788i	0.380664	−	0.578788i
$707$	−18.3592	−	18.3592i	−0.690467	−	0.690467i
$708$	−24.7648	+	3.62814i	−0.930717	+	0.136354i
$709$	36.4398	+	21.0385i	1.36853	+	0.790119i	0.990740	−	0.135774i	$-0.0433520\pi$
$709$	36.4398	+	21.0385i	1.36853	+	0.790119i	0.377786	+	0.925893i	$0.376685\pi$
$710$	−3.24627	−	4.01111i	−0.121830	−	0.150534i
$711$	57.0369	+	32.9302i	2.13905	+	1.23498i
$712$	−25.7923	−	12.0260i	−0.966609	−	0.450693i
$713$	−1.43412	+	5.35220i	−0.0537081	+	0.200441i
$714$	0.906595	−	15.5690i	0.0339285	−	0.582655i
$715$	19.3159	−	21.5177i	0.722373	−	0.804716i
$716$	−3.15468	+	26.9959i	−0.117896	+	1.00888i
$717$	5.14365	+	1.37824i	0.192093	+	0.0514712i
$718$	−0.339342	−	0.112441i	−0.0126641	−	0.00419626i
$719$	−14.3662	+	24.8829i	−0.535767	+	0.927977i	0.463358	+	0.886171i	$0.346644\pi$
$719$	−14.3662	+	24.8829i	−0.535767	+	0.927977i	−0.999126	+	0.0418055i	$0.986689\pi$
$720$	11.6499	−	40.5907i	0.434166	−	1.51273i
$721$	−5.89593	+	10.2121i	−0.219576	+	0.380317i
$722$	11.8841	+	57.5511i	0.442280	+	2.14183i
$723$	9.91307	−	9.91307i	0.368671	−	0.368671i
$724$	−7.81143	−	5.81509i	−0.290309	−	0.216116i
$725$	2.82971	−	1.29752i	0.105093	−	0.0481886i
$726$	6.54334	−	3.28629i	0.242846	−	0.121966i
$727$	−0.735431	−	0.735431i	−0.0272756	−	0.0272756i	0.693337	−	0.720613i	$-0.256140\pi$
$727$	−0.735431	−	0.735431i	−0.0272756	−	0.0272756i	−0.720613	+	0.693337i	$0.756140\pi$
$728$	15.6729	+	5.46644i	0.580877	+	0.202600i
$729$		−	43.9947i		−	1.62943i
$730$	3.30201	+	7.42204i	0.122213	+	0.274702i
$731$	−20.0233	+	11.5604i	−0.740587	+	0.427578i
$732$	−6.17405	+	0.904523i	−0.228199	+	0.0334321i
$733$	23.1877	+	23.1877i	0.856457	+	0.856457i	0.990919	−	0.134462i	$-0.0429306\pi$
$733$	23.1877	+	23.1877i	0.856457	+	0.856457i	−0.134462	+	0.990919i	$0.542931\pi$
$734$	−8.27317	+	12.5791i	−0.305368	+	0.464302i
$735$	−26.4109	+	5.76649i	−0.974182	+	0.212700i
$736$	6.88372	−	22.9985i	0.253737	−	0.847735i
$737$	−13.6319	−	50.8749i	−0.502137	−	1.87400i
$738$	9.01849	−	27.2174i	0.331975	−	1.00189i
$739$	−2.41096	−	4.17590i	−0.0886885	−	0.153613i	0.818269	−	0.574836i	$-0.194934\pi$
$739$	−2.41096	−	4.17590i	−0.0886885	−	0.153613i	−0.906957	+	0.421223i	$0.861601\pi$
$740$	6.14330	+	8.56467i	0.225832	+	0.314843i
$741$	−31.9961	+	71.0949i	−1.17541	+	2.61173i
$742$	−13.1035	−	14.7239i	−0.481045	−	0.540532i
$743$	41.0220	+	10.9918i	1.50495	+	0.403250i	0.914754	−	0.404011i	$-0.132384\pi$
$743$	41.0220	+	10.9918i	1.50495	+	0.403250i	0.590195	+	0.807261i	$0.299051\pi$
$744$	−9.64286	+	3.51012i	−0.353524	+	0.128687i
$745$	19.3019	+	12.3837i	0.707166	+	0.453705i
$746$	9.45530	+	0.550590i	0.346183	+	0.0201585i
$747$	62.1480	−	16.6525i	2.27388	−	0.609283i
$748$	−2.53522	−	17.3047i	−0.0926967	−	0.632724i
$749$			7.89002i			0.288295i
$750$	−32.9653	−	29.0455i	−1.20372	−	1.06059i
$751$	42.9979	−	24.8248i	1.56901	−	0.905871i	0.572730	−	0.819744i	$-0.305884\pi$
$751$	42.9979	−	24.8248i	1.56901	−	0.905871i	0.996284	−	0.0861267i	$-0.0274490\pi$
$752$	−13.8452	+	25.6806i	−0.504883	+	0.936477i
$753$	−6.92625	−	6.92625i	−0.252407	−	0.252407i
$754$	−2.67934	+	1.70281i	−0.0975759	+	0.0620128i
$755$	−1.21617	+	25.9478i	−0.0442611	+	0.944338i
$756$	6.16777	+	14.2975i	0.224320	+	0.519995i
$757$	12.6955	+	3.40176i	0.461427	+	0.123639i	0.482041	−	0.876149i	$-0.339896\pi$
$757$	12.6955	+	3.40176i	0.461427	+	0.123639i	−0.0206144	+	0.999787i	$0.506562\pi$
$758$	0.683102	+	3.30806i	0.0248114	+	0.120154i
$759$	42.2940			1.53518
$760$	49.1749	−	1.99111i	1.78376	−	0.0722253i
$761$	16.0271	−	27.7598i	0.580983	−	1.00629i	−0.414380	−	0.910104i	$-0.636002\pi$
$761$	16.0271	−	27.7598i	0.580983	−	1.00629i	0.995363	−	0.0961879i	$-0.0306650\pi$
$762$	30.8378	−	27.4440i	1.11714	−	0.994193i
$763$	−2.34755	−	8.76118i	−0.0849871	−	0.317176i
$764$	−1.04444	−	2.42112i	−0.0377865	−	0.0875930i
$765$	7.81906	−	24.5247i	0.282699	−	0.886694i
$766$	2.41890	−	41.5399i	0.0873985	−	1.50090i
$767$	2.60459	−	16.0280i	0.0940463	−	0.578738i
$768$	42.2018	−	13.9888i	1.52283	−	0.504779i
$769$	34.7021	−	20.0353i	1.25139	−	0.722491i	0.280006	−	0.959998i	$-0.409664\pi$
$769$	34.7021	−	20.0353i	1.25139	−	0.722491i	0.971386	+	0.237507i	$0.0763303\pi$
$770$	16.8664	−	7.50373i	0.607823	−	0.270416i
$771$	−36.2394	−	20.9228i	−1.30513	−	0.753517i
$772$	−25.3380	+	20.0357i	−0.911936	+	0.721102i
$773$	−19.0007	+	5.09123i	−0.683408	+	0.183119i	−0.583787	−	0.811907i	$-0.698430\pi$
$773$	−19.0007	+	5.09123i	−0.683408	+	0.183119i	−0.0996211	+	0.995025i	$0.531763\pi$
$774$	34.7925	−	52.9008i	1.25059	−	1.90148i
$775$	−0.610625	+	6.49973i	−0.0219343	+	0.233477i
$776$	−7.93133	+	9.45291i	−0.284718	+	0.339340i
$777$	−10.2964	−	2.75890i	−0.369380	−	0.0989750i
$778$	2.73329	−	8.24895i	0.0979932	−	0.295739i
$779$	33.4158			1.19725
$780$	37.3289	+	24.7813i	1.33659	+	0.887314i
$781$	5.85247			0.209418
$782$	4.60264	−	13.8906i	0.164590	−	0.496726i
$783$	−2.87662	−	0.770787i	−0.102802	−	0.0275457i
$784$	−12.6591	−	11.9420i	−0.452109	−	0.426500i
$785$	−20.4156	+	18.5875i	−0.728664	+	0.663417i
$786$	−23.4808	+	35.7019i	−0.837534	+	1.27344i
$787$	−16.2399	+	4.35147i	−0.578890	+	0.155113i	−0.536371	−	0.843983i	$-0.680205\pi$
$787$	−16.2399	+	4.35147i	−0.578890	+	0.155113i	−0.0425192	+	0.999096i	$0.513538\pi$
$788$	−1.20106	−	1.51891i	−0.0427861	−	0.0541091i
$789$	36.6262	+	21.1461i	1.30393	+	0.752822i
$790$	41.1775	+	15.8198i	1.46503	+	0.562844i
$791$	−6.75255	+	3.89859i	−0.240093	+	0.138618i
$792$	27.4730	+	39.2324i	0.976210	+	1.39406i
$793$	0.649345	−	3.99591i	0.0230589	−	0.141899i
$794$	−1.74755	+	30.0107i	−0.0620182	+	1.06504i
$795$	−24.4159	−	47.2715i	−0.865942	−	1.67655i
$796$	−6.21647	+	2.68171i	−0.220337	+	0.0950507i
$797$	−5.83766	−	21.7864i	−0.206780	−	0.771715i	−0.988899	−	0.148586i	$-0.952528\pi$
$797$	−5.83766	−	21.7864i	−0.206780	−	0.771715i	0.782119	−	0.623129i	$-0.214139\pi$
$798$	−37.1813	+	33.0894i	−1.31620	+	1.17135i
$799$	−8.89186	+	15.4012i	−0.314572	+	0.544854i
$800$	3.46171	−	28.0716i	0.122390	−	0.992482i
$801$	47.5043			1.67848
$802$	−5.51371	−	26.7012i	−0.194696	−	0.942853i
$803$	−8.89936	−	2.38458i	−0.314051	−	0.0841498i
$804$	74.9380	−	32.3273i	2.64286	−	1.14010i
$805$	15.4286	+	0.723136i	0.543786	+	0.0254872i
$806$	−0.283130	−	6.65161i	−0.00997283	−	0.234293i
$807$	−7.74183	−	7.74183i	−0.272525	−	0.272525i
$808$	19.0662	−	40.8916i	0.670746	−	1.43856i
$809$	18.5158	−	10.6901i	0.650981	−	0.375844i	−0.137851	−	0.990453i	$-0.544019\pi$
$809$	18.5158	−	10.6901i	0.650981	−	0.375844i	0.788832	+	0.614609i	$0.210686\pi$
$810$	−0.430910	−	2.72562i	−0.0151406	−	0.0957685i
$811$		−	19.1946i		−	0.674012i	−0.941502	−	0.337006i	$-0.890586\pi$
$811$		−	19.1946i		−	0.674012i	0.941502	−	0.337006i	$-0.109414\pi$
$812$	−2.00535	+	0.293792i	−0.0703741	+	0.0103101i
$813$	36.6717	−	9.82615i	1.28613	−	0.344618i
$814$	−11.9340	−	0.694926i	−0.418286	−	0.0243571i
$815$	−4.28135	−	19.6089i	−0.149969	−	0.686869i
$816$	25.9617	−	7.77383i	0.908841	−	0.272139i
$817$	71.2765	+	19.0985i	2.49365	+	0.668171i
$818$	−3.04897	−	3.42601i	−0.106605	−	0.119788i
$819$	−27.5675	+	2.78561i	−0.963288	+	0.0973373i
$820$	3.11960	−	18.9492i	0.108941	−	0.661735i
$821$	4.93117	+	8.54105i	0.172099	+	0.298085i	0.939154	−	0.343498i	$-0.111612\pi$
$821$	4.93117	+	8.54105i	0.172099	+	0.298085i	−0.767054	+	0.641582i	$0.778278\pi$
$822$	−25.5362	+	77.0671i	−0.890677	+	2.68802i
$823$	−5.92675	−	22.1189i	−0.206594	−	0.771018i	−0.988958	−	0.148197i	$-0.952653\pi$
$823$	−5.92675	−	22.1189i	−0.206594	−	0.771018i	0.782364	−	0.622821i	$-0.214014\pi$
$824$	−20.1799	−	3.55748i	−0.703001	−	0.123931i
$825$	49.1277	−	8.33847i	1.71041	−	0.290308i
$826$	5.69654	−	8.66141i	0.198208	−	0.301369i
$827$	19.6389	+	19.6389i	0.682911	+	0.682911i	0.960655	−	0.277744i	$-0.0895867\pi$
$827$	19.6389	+	19.6389i	0.682911	+	0.682911i	−0.277744	+	0.960655i	$0.589587\pi$
$828$	5.80890	+	39.6501i	0.201873	+	1.37794i
$829$	49.1506	−	28.3771i	1.70707	−	0.985577i	0.768923	−	0.639342i	$-0.220793\pi$
$829$	49.1506	−	28.3771i	1.70707	−	0.985577i	0.938148	−	0.346236i	$-0.112540\pi$
$830$	39.3729	−	17.5167i	1.36665	−	0.608013i
$831$		−	39.7626i		−	1.37935i
$832$	0.389785	+	28.8418i	0.0135134	+	0.999909i
$833$	−7.50100	−	7.50100i	−0.259894	−	0.259894i
$834$	−20.1504	+	10.1202i	−0.697751	+	0.350435i
$835$	−9.17688	+	28.7836i	−0.317579	+	0.996097i
$836$	−33.3311	+	44.7738i	−1.15278	+	1.54854i
$837$	4.41617	−	4.41617i	0.152645	−	0.152645i
$838$	5.46137	+	26.4477i	0.188660	+	0.913622i
$839$	−14.4953	+	25.1066i	−0.500434	+	0.866777i	0.499566	+	0.866276i	$0.333493\pi$
$839$	−14.4953	+	25.1066i	−0.500434	+	0.866777i	−1.00000		0.000501065i	$0.999841\pi$
$840$	15.2930	+	24.1736i	0.527657	+	0.834069i
$841$	−14.3062	+	24.7790i	−0.493317	+	0.854450i
$842$	−16.6862	−	5.52897i	−0.575044	−	0.190541i
$843$	−65.4458	−	17.5361i	−2.25407	−	0.603977i
$844$	−24.1169	−	2.81824i	−0.830136	−	0.0970079i
$845$	−22.6365	+	18.2370i	−0.778720	+	0.627372i
$846$	2.83110	−	48.6186i	0.0973352	−	1.67154i
$847$	−0.784944	+	2.92945i	−0.0269710	+	0.100657i
$848$	16.2541	−	30.1488i	0.558169	−	1.03531i
$849$	−47.5350	−	27.4444i	−1.63140	−	0.941888i
$850$	2.60772	−	17.0424i	0.0894442	−	0.584549i
$851$	−8.66195	−	5.00098i	−0.296928	−	0.171431i
$852$	1.31456	+	8.97283i	0.0450359	+	0.307404i
$853$	5.89155	+	5.89155i	0.201723	+	0.201723i	0.800738	−	0.599015i	$-0.204441\pi$
$853$	5.89155	+	5.89155i	0.201723	+	0.201723i	−0.599015	+	0.800738i	$0.704441\pi$
$854$	1.42019	−	2.15936i	0.0485980	−	0.0738917i
$855$	−72.9918	+	37.7005i	−2.49627	+	1.28933i
$856$	−12.8837	+	4.68984i	−0.440356	+	0.160295i
$857$	−13.0725	+	13.0725i	−0.446547	+	0.446547i	−0.894205	−	0.447658i	$-0.852258\pi$
$857$	−13.0725	+	13.0725i	−0.446547	+	0.446547i	0.447658	+	0.894205i	$0.352258\pi$
$858$	−48.4819	+	15.2280i	−1.65514	+	0.519876i
$859$	−28.4435			−0.970478			−0.485239	−	0.874381i	$-0.661267\pi$
$859$	−28.4435			−0.970478			−0.485239	+	0.874381i	$0.661267\pi$
$860$	17.4844	−	38.6360i	0.596213	−	1.31748i
$861$	9.71097	+	16.8199i	0.330949	+	0.573221i
$862$	33.5527	−	6.92852i	1.14281	−	0.235986i
$863$	5.27264	−	5.27264i	0.179483	−	0.179483i	−0.611648	−	0.791130i	$-0.709493\pi$
$863$	5.27264	−	5.27264i	0.179483	−	0.179483i	0.791130	+	0.611648i	$0.209493\pi$
$864$	−19.6804	+	18.5699i	−0.669542	+	0.631760i
$865$	−50.5959	+	11.0470i	−1.72031	+	0.375608i
$866$	26.2756	+	1.53005i	0.892880	+	0.0519931i
$867$	−29.6726	+	7.95076i	−1.00774	+	0.270022i
$868$	1.56916	−	3.95010i	0.0532607	−	0.134075i
$869$	−43.3273	+	25.0150i	−1.46978	+	0.848576i
$870$	−5.44076	−	0.573393i	−0.184459	−	0.0194398i
$871$	5.32320	+	52.6805i	0.180370	+	1.78501i
$872$	12.9109	−	9.04100i	0.437217	−	0.306167i
$873$	5.33113	−	19.8961i	0.180431	−	0.673379i
$874$	−41.7345	+	20.9605i	−1.41169	+	0.709000i
$875$	18.0640	−	2.20184i	0.610676	−	0.0744357i
$876$	1.65703	−	14.1798i	0.0559857	−	0.479092i
$877$	12.8345	+	47.8990i	0.433390	+	1.61744i	0.744889	+	0.667188i	$0.232502\pi$
$877$	12.8345	+	47.8990i	0.433390	+	1.61744i	−0.311499	+	0.950247i	$0.600831\pi$
$878$	7.51422	+	36.3891i	0.253593	+	1.22807i
$879$	−26.6258			−0.898066
$880$	22.2783	+	23.0811i	0.751003	+	0.778065i
$881$	−13.0956	−	22.6822i	−0.441202	−	0.764184i	0.556577	−	0.830796i	$-0.312114\pi$
$881$	−13.0956	−	22.6822i	−0.441202	−	0.764184i	−0.997779	+	0.0666117i	$0.978781\pi$
$882$	27.5758	+	9.13723i	0.928525	+	0.307667i
$883$	25.7115	−	25.7115i	0.865262	−	0.865262i	−0.126681	−	0.991943i	$-0.540433\pi$
$883$	25.7115	−	25.7115i	0.865262	−	0.865262i	0.991943	+	0.126681i	$0.0404326\pi$
$884$	−0.274713	+	17.5800i	−0.00923959	+	0.591280i
$885$	20.6920	−	18.8392i	0.695553	−	0.633271i
$886$	0.0901941	−	0.0452986i	0.00303013	−	0.00152184i
$887$	−6.65739	+	24.8457i	−0.223533	+	0.834238i	0.759453	+	0.650562i	$0.225466\pi$
$887$	−6.65739	+	24.8457i	−0.223533	+	0.834238i	−0.982987	+	0.183676i	$0.941200\pi$
$888$	−1.61512	−	18.4529i	−0.0541999	−	0.619240i
$889$			17.0983i			0.573458i
$890$	31.4269	−	4.96848i	1.05343	−	0.166544i
$891$	2.71039	+	1.56485i	0.0908016	+	0.0524243i
$892$	−28.6723	−	36.2602i	−0.960020	−	1.21408i
$893$	54.8233	−	14.6899i	1.83459	−	0.491577i
$894$	−18.0884	−	36.0158i	−0.604966	−	1.20455i
$895$	−13.9451	−	26.9990i	−0.466132	−	0.902477i
$896$	−7.29225	+	16.9094i	−0.243617	+	0.564904i
$897$	−41.9677	−	6.81985i	−1.40126	−	0.227708i
$898$	−24.9924	−	28.0830i	−0.834007	−	0.937143i
$899$	0.406456	+	0.704002i	0.0135561	+	0.0234798i
$900$	14.5647	+	44.9113i	0.485489	+	1.49704i
$901$	10.4389	−	18.0808i	0.347772	−	0.602358i
$902$	14.4800	+	16.2706i	0.482131	+	0.541752i
$903$	11.1004	+	41.4274i	0.369399	+	1.37862i
$904$	−10.3798	−	8.70899i	−0.345226	−	0.289657i
$905$	10.8758	+	0.509746i	0.361523	+	0.0169445i
$906$	25.0855	−	38.1416i	0.833408	−	1.26717i
$907$	−8.17579	+	30.5125i	−0.271473	+	1.01315i	0.686696	+	0.726945i	$0.259061\pi$
$907$	−8.17579	+	30.5125i	−0.271473	+	1.01315i	−0.958168	+	0.286205i	$0.907606\pi$
$908$	−22.1187	−	8.78654i	−0.734034	−	0.291592i
$909$			75.3140i			2.49801i
$910$	−17.9462	+	4.72614i	−0.594912	+	0.156670i
$911$		−	44.4738i		−	1.47348i	−0.676175	−	0.736741i	$-0.736364\pi$
$911$		−	44.4738i		−	1.47348i	0.676175	−	0.736741i	$-0.263636\pi$
$912$	−76.1326	−	41.0454i	−2.52100	−	1.35915i
$913$	−12.6498	+	47.2099i	−0.418649	+	1.56242i
$914$	−3.44264	−	2.26420i	−0.113872	−	0.0748930i
$915$	5.15867	−	4.69675i	0.170540	−	0.155270i
$916$	3.74470	−	5.03027i	0.123728	−	0.166205i
$917$	−4.58081	−	17.0958i	−0.151272	−	0.564554i
$918$	−12.3209	+	10.9650i	−0.406652	+	0.361899i
$919$	12.8594	−	22.2731i	0.424192	−	0.734722i	−0.572152	−	0.820147i	$-0.693891\pi$
$919$	12.8594	−	22.2731i	0.424192	−	0.734722i	0.996345	+	0.0854249i	$0.0272248\pi$
$920$	7.98994	+	25.6233i	0.263421	+	0.844776i
$921$	−41.8777	−	72.5343i	−1.37992	−	2.39009i
$922$	4.27730	−	3.80657i	0.140865	−	0.125363i
$923$	−5.80731	−	0.943702i	−0.191150	−	0.0310623i
$924$	−32.2234	−	3.76555i	−1.06007	−	0.123878i
$925$	−11.0475	−	4.10127i	−0.363239	−	0.134849i
$926$	−1.79408	+	0.901050i	−0.0589572	+	0.0296103i
$927$	33.0396	−	8.85292i	1.08516	−	0.290768i
$928$	−1.67172	−	3.09994i	−0.0548769	−	0.101760i
$929$	0.114785	+	0.0662711i	0.00376597	+	0.00217428i	0.501882	−	0.864936i	$-0.332641\pi$
$929$	0.114785	+	0.0662711i	0.00376597	+	0.00217428i	−0.498116	+	0.867110i	$0.665975\pi$
$930$	6.74633	−	9.28004i	0.221221	−	0.304305i
$931$			33.8557i			1.10958i
$932$	−3.33076	−	22.7349i	−0.109103	−	0.744707i
$933$	−10.6770	+	39.8472i	−0.349550	+	1.30454i
$934$	−6.11803	−	12.1816i	−0.200188	−	0.398595i
$935$	13.1641	+	14.4588i	0.430513	+	0.472854i
$936$	−20.9348	−	43.3596i	−0.684276	−	1.41725i
$937$	−3.31910	+	3.31910i	−0.108430	+	0.108430i	−0.759240	−	0.650810i	$-0.774429\pi$
$937$	−3.31910	+	3.31910i	−0.108430	+	0.108430i	0.650810	+	0.759240i	$0.274429\pi$
$938$	−10.6323	+	32.0878i	−0.347157	+	1.04770i
$939$	14.6886	+	25.4414i	0.479343	+	0.830247i
$940$	−3.21209	−	32.4602i	−0.104767	−	1.05873i
$941$	−4.77200			−0.155563			−0.0777815	−	0.996970i	$-0.524784\pi$
$941$	−4.77200			−0.155563			−0.0777815	+	0.996970i	$0.524784\pi$
$942$	47.5194	−	9.81259i	1.54827	−	0.319712i
$943$	4.71666	+	17.6028i	0.153595	+	0.573226i
$944$	17.5293	+	4.15360i	0.570532	+	0.135188i
$945$	−14.6526	−	9.40085i	−0.476650	−	0.305810i
$946$	21.5868	+	42.9814i	0.701846	+	1.39745i
$947$	10.6242	−	39.6502i	0.345241	−	1.28846i	−0.547089	−	0.837075i	$-0.684264\pi$
$947$	10.6242	−	39.6502i	0.345241	−	1.28846i	0.892330	−	0.451384i	$-0.149069\pi$
$948$	−48.0843	−	60.8093i	−1.56170	−	1.97500i
$949$	8.44618	+	3.80118i	0.274174	+	0.123392i
$950$	−44.3453	+	32.5754i	−1.43875	+	1.05689i
$951$	13.4960	−	7.79191i	0.437637	−	0.252670i
$952$	−4.74341	+	10.1733i	−0.153735	+	0.329718i
$953$	8.92856	−	2.39240i	0.289224	−	0.0774974i	−0.111290	−	0.993788i	$-0.535498\pi$
$953$	8.92856	−	2.39240i	0.289224	−	0.0774974i	0.400514	+	0.916291i	$0.368832\pi$
$954$	−3.32368	+	57.0777i	−0.107608	+	1.84796i
$955$	2.48125	+	1.59193i	0.0802915	+	0.0515135i
$956$	−3.07439	−	2.28868i	−0.0994330	−	0.0740212i
$957$	4.38752	−	4.38752i	0.141828	−	0.141828i
$958$	−6.35395	−	30.7702i	−0.205287	−	0.994141i
$959$	−16.8135	−	29.1219i	−0.542938	−	0.940395i
$960$	−30.3833	+	39.3409i	−0.980615	+	1.26972i
$961$	29.2952			0.945007
$962$	11.7298	+	2.61390i	0.378186	+	0.0842756i
$963$	16.1835	−	16.1835i	0.521505	−	0.521505i
$964$	−9.26500	+	3.99681i	−0.298406	+	0.128728i
$965$	10.9703	−	34.4087i	0.353147	−	1.10766i
$966$	−22.6790	−	14.9158i	−0.729685	−	0.479908i
$967$	28.8034	+	28.8034i	0.926256	+	0.926256i	0.997462	−	0.0712053i	$-0.0226846\pi$
$967$	28.8034	+	28.8034i	0.926256	+	0.926256i	−0.0712053	+	0.997462i	$0.522685\pi$
$968$	−5.25011	+	0.459524i	−0.168745	+	0.0147697i
$969$	−45.6581	−	26.3607i	−1.46675	−	0.846829i
$970$	1.44593	−	13.7200i	0.0464260	−	0.440523i
$971$	−17.6911	−	10.2140i	−0.567734	−	0.327781i	0.188510	−	0.982071i	$-0.439634\pi$
$971$	−17.6911	−	10.2140i	−0.567734	−	0.327781i	−0.756244	+	0.654290i	$0.772968\pi$
$972$	−12.3859	+	31.1794i	−0.397277	+	1.00008i
$973$	2.41726	−	9.02133i	0.0774937	−	0.289210i
$974$	47.8897	+	2.78866i	1.53449	+	0.0893543i
$975$	−50.0932	+	0.352350i	−1.60427	+	0.0112842i
$976$	4.37020	+	1.03553i	0.139887	+	0.0331464i
$977$	−49.1894	−	13.1803i	−1.57371	−	0.421674i	−0.636737	−	0.771081i	$-0.719716\pi$
$977$	−49.1894	−	13.1803i	−1.57371	−	0.421674i	−0.936971	+	0.349407i	$0.886383\pi$
$978$	−11.0945	+	33.4828i	−0.354764	+	1.07066i
$979$	−18.0430	+	31.2514i	−0.576657	+	0.998799i
$980$	19.1987	+	3.16067i	0.613279	+	0.100964i
$981$	−13.1552	+	22.7855i	−0.420013	+	0.727484i
$982$	−1.98236	+	0.409351i	−0.0632598	+	0.0130629i
$983$	24.2991	−	24.2991i	0.775021	−	0.775021i	−0.203958	−	0.978980i	$-0.565381\pi$
$983$	24.2991	−	24.2991i	0.775021	−	0.775021i	0.978980	+	0.203958i	$0.0653807\pi$
$984$	−21.6932	+	25.8549i	−0.691554	+	0.824225i
$985$	2.06267	+	0.657626i	0.0657220	+	0.0209537i
$986$	−0.963516	−	1.91846i	−0.0306846	−	0.0610961i
$987$	23.3264	+	23.3264i	0.742486	+	0.742486i
$988$	40.2937	−	39.0537i	1.28191	−	1.24246i
$989$			40.2429i			1.27965i
$990$	−49.9863	−	19.2041i	−1.58867	−	0.610345i
$991$	46.2038	−	26.6758i	1.46771	−	0.847385i	0.468367	−	0.883534i	$-0.344842\pi$
$991$	46.2038	−	26.6758i	1.46771	−	0.847385i	0.999346	+	0.0361490i	$0.0115091\pi$
$992$	7.38287	+	0.214357i	0.234406	+	0.00680583i
$993$	−59.2200	−	59.2200i	−1.87929	−	1.87929i
$994$	−3.13822	−	2.06399i	−0.0995384	−	0.0654657i
$995$	4.08743	−	6.37087i	0.129580	−	0.201970i
$996$	−75.2221	−	8.79029i	−2.38350	−	0.278531i
$997$	3.70152	+	13.8143i	0.117228	+	0.437503i	0.999444	−	0.0333433i	$-0.0106155\pi$
$997$	3.70152	+	13.8143i	0.117228	+	0.437503i	−0.882215	+	0.470846i	$0.843949\pi$
$998$	20.8061	+	6.89409i	0.658605	+	0.218229i
$999$	5.63674	+	9.76312i	0.178339	+	0.308891i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bj.c.3.4	yes	144
4.3	odd	2	inner	260.2.bj.c.3.3	✓	144
5.2	odd	4	inner	260.2.bj.c.107.20	yes	144
13.9	even	3	inner	260.2.bj.c.243.19	yes	144
20.7	even	4	inner	260.2.bj.c.107.19	yes	144
52.35	odd	6	inner	260.2.bj.c.243.20	yes	144
65.22	odd	12	inner	260.2.bj.c.87.3	yes	144
260.87	even	12	inner	260.2.bj.c.87.4	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bj.c.3.3	✓	144	4.3	odd	2	inner
260.2.bj.c.3.4	yes	144	1.1	even	1	trivial
260.2.bj.c.87.3	yes	144	65.22	odd	12	inner
260.2.bj.c.87.4	yes	144	260.87	even	12	inner
260.2.bj.c.107.19	yes	144	20.7	even	4	inner
260.2.bj.c.107.20	yes	144	5.2	odd	4	inner
260.2.bj.c.243.19	yes	144	13.9	even	3	inner
260.2.bj.c.243.20	yes	144	52.35	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bj (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.34244 - 0.444817i) q^{2} +(-2.68406 - 0.719191i) q^{3} +(1.60428 + 1.19428i) q^{4} +(-2.23362 - 0.104689i) q^{5} +(3.28327 + 2.15938i) q^{6} +(-1.57219 + 0.421268i) q^{7} +(-1.62241 - 2.31685i) q^{8} +(4.08885 + 2.36070i) q^{9} +O(q^{10})\)	\(q+(-1.34244 - 0.444817i) q^{2} +(-2.68406 - 0.719191i) q^{3} +(1.60428 + 1.19428i) q^{4} +(-2.23362 - 0.104689i) q^{5} +(3.28327 + 2.15938i) q^{6} +(-1.57219 + 0.421268i) q^{7} +(-1.62241 - 2.31685i) q^{8} +(4.08885 + 2.36070i) q^{9} +(2.95192 + 1.13409i) q^{10} +(-3.10604 + 1.79327i) q^{11} +(-3.44706 - 4.35929i) q^{12} +(3.37123 - 1.27859i) q^{13} +(2.29796 + 0.133812i) q^{14} +(5.91986 + 1.88739i) q^{15} +(1.14740 + 3.83190i) q^{16} +(0.631055 + 2.35513i) q^{17} +(-4.43894 - 4.98788i) q^{18} +(3.89080 - 6.73906i) q^{19} +(-3.45831 - 2.83551i) q^{20} +4.52283 q^{21} +(4.96734 - 1.02574i) q^{22} +(4.09920 + 1.09838i) q^{23} +(2.68837 + 7.38538i) q^{24} +(4.97808 + 0.467672i) q^{25} +(-5.09441 + 0.216847i) q^{26} +(-3.38231 - 3.38231i) q^{27} +(-3.02534 - 1.20180i) q^{28} +(0.539189 - 0.311301i) q^{29} +(-7.10750 - 5.16695i) q^{30} +1.30567i q^{31} +(0.164174 - 5.65447i) q^{32} +(9.62648 - 2.57941i) q^{33} +(0.200449 - 3.44232i) q^{34} +(3.55578 - 0.776359i) q^{35} +(3.74031 + 8.67043i) q^{36} +(-2.27653 - 0.609995i) q^{37} +(-8.22080 + 7.31608i) q^{38} +(-9.96813 + 1.00725i) q^{39} +(3.38128 + 5.34480i) q^{40} +(2.14710 + 3.71889i) q^{41} +(-6.07161 - 2.01183i) q^{42} +(2.45431 + 9.15962i) q^{43} +(-7.12460 - 0.832566i) q^{44} +(-8.88577 - 5.70095i) q^{45} +(-5.01434 - 3.29789i) q^{46} +(5.15748 + 5.15748i) q^{47} +(-0.323832 - 11.1102i) q^{48} +(-3.76785 + 2.17537i) q^{49} +(-6.47473 - 2.84215i) q^{50} -6.77514i q^{51} +(6.93538 + 1.97497i) q^{52} +(-6.05482 - 6.05482i) q^{53} +(3.03603 + 6.04504i) q^{54} +(7.12543 - 3.68031i) q^{55} +(3.52675 + 2.95907i) q^{56} +(-15.2898 + 15.2898i) q^{57} +(-0.862299 + 0.178062i) q^{58} +(2.25184 - 3.90030i) q^{59} +(7.24303 + 10.0978i) q^{60} +(0.561402 - 0.972376i) q^{61} +(0.580783 - 1.75278i) q^{62} +(-7.42294 - 1.98897i) q^{63} +(-2.73560 + 7.51775i) q^{64} +(-7.66389 + 2.50295i) q^{65} +(-14.0703 - 0.819326i) q^{66} +(-3.80085 + 14.1849i) q^{67} +(-1.80029 + 4.53193i) q^{68} +(-10.2125 - 5.89621i) q^{69} +(-5.11875 - 0.539456i) q^{70} +(-1.41317 - 0.815893i) q^{71} +(-1.16439 - 13.3033i) q^{72} +(1.81645 + 1.81645i) q^{73} +(2.78476 + 1.83152i) q^{74} +(-13.0251 - 4.83545i) q^{75} +(14.2902 - 6.16463i) q^{76} +(4.12784 - 4.12784i) q^{77} +(13.8296 + 3.08182i) q^{78} +13.9494 q^{79} +(-2.16170 - 8.67912i) q^{80} +(-0.436311 - 0.755712i) q^{81} +(-1.22813 - 5.94744i) q^{82} +(9.63602 - 9.63602i) q^{83} +(7.25586 + 5.40151i) q^{84} +(-1.16298 - 5.32652i) q^{85} +(0.779590 - 13.3879i) q^{86} +(-1.67110 + 0.447769i) q^{87} +(9.19400 + 4.28681i) q^{88} +(8.71351 - 5.03075i) q^{89} +(9.39272 + 11.6057i) q^{90} +(-4.76160 + 3.43038i) q^{91} +(5.26448 + 6.65768i) q^{92} +(0.939025 - 3.50449i) q^{93} +(-4.62946 - 9.21772i) q^{94} +(-9.39606 + 14.6452i) q^{95} +(-4.50730 + 15.0588i) q^{96} +(-1.12914 - 4.21402i) q^{97} +(6.02575 - 1.24430i) q^{98} -16.9335 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8}+O(q^{10}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8	\( 144 q - 6 q^{2} - 24 q^{5} - 4 q^{6} - 24 q^{8} - 16 q^{10} + 20 q^{12} - 12 q^{13} - 28 q^{16} - 4 q^{18} + 30 q^{20} - 32 q^{21} - 28 q^{22} - 24 q^{25} - 12 q^{26} + 14 q^{28} - 4 q^{30} + 4 q^{32} - 28 q^{33} + 4 q^{36} + 20 q^{40} + 24 q^{41} - 56 q^{42} - 4 q^{46} + 12 q^{48} + 20 q^{50} - 2 q^{52} + 24 q^{53} - 20 q^{56} - 24 q^{57} - 42 q^{58} + 88 q^{60} - 32 q^{61} - 128 q^{66} - 32 q^{68} + 108 q^{70} + 2 q^{72} - 8 q^{73} + 60 q^{76} - 72 q^{77} - 120 q^{78} - 64 q^{80} - 32 q^{81} - 42 q^{82} - 48 q^{85} - 24 q^{86} - 42 q^{88} - 56 q^{90} - 84 q^{92} + 8 q^{93} + 160 q^{96} + 68 q^{97} + 98 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 24 * q^5 - 4 * q^6 - 24 * q^8 - 16 * q^10 + 20 * q^12 - 12 * q^13 - 28 * q^16 - 4 * q^18 + 30 * q^20 - 32 * q^21 - 28 * q^22 - 24 * q^25 - 12 * q^26 + 14 * q^28 - 4 * q^30 + 4 * q^32 - 28 * q^33 + 4 * q^36 + 20 * q^40 + 24 * q^41 - 56 * q^42 - 4 * q^46 + 12 * q^48 + 20 * q^50 - 2 * q^52 + 24 * q^53 - 20 * q^56 - 24 * q^57 - 42 * q^58 + 88 * q^60 - 32 * q^61 - 128 * q^66 - 32 * q^68 + 108 * q^70 + 2 * q^72 - 8 * q^73 + 60 * q^76 - 72 * q^77 - 120 * q^78 - 64 * q^80 - 32 * q^81 - 42 * q^82 - 48 * q^85 - 24 * q^86 - 42 * q^88 - 56 * q^90 - 84 * q^92 + 8 * q^93 + 160 * q^96 + 68 * q^97 + 98 * q^98

Introduction

L-functions

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