LMFDB - Embedded newform 296.2.bj.a.235.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(19,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([18, 18, 35])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.19"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.bj (of order $36$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$36$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			235.10
Character	$\chi$	$=$	296.235
Dual form			296.2.bj.a.131.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.08992 - 0.901154i) q^{2} +(2.37004 - 0.417903i) q^{3} +(0.375843 + 1.96437i) q^{4} +(0.299719 - 3.42580i) q^{5} +(-2.95975 - 1.68030i) q^{6} +(-0.746880 - 0.890097i) q^{7} +(1.36056 - 2.47969i) q^{8} +(2.62339 - 0.954836i) q^{9} +(-3.41384 + 3.46375i) q^{10} +(-2.42163 - 1.39813i) q^{11} +(1.71168 + 4.49857i) q^{12} +(-3.37374 + 1.57320i) q^{13} +(0.0119235 + 1.64319i) q^{14} +(-0.721305 - 8.24455i) q^{15} +(-3.71748 + 1.47659i) q^{16} +(6.73179 + 3.13908i) q^{17} +(-3.71973 - 1.32339i) q^{18} +(1.15726 - 1.65274i) q^{19} +(6.84218 - 0.698804i) q^{20} +(-2.14211 - 1.79745i) q^{21} +(1.37945 + 3.70611i) q^{22} +(3.54434 + 0.949703i) q^{23} +(2.18832 - 6.44556i) q^{24} +(-6.72223 - 1.18531i) q^{25} +(5.09480 + 1.32560i) q^{26} +(-0.434026 + 0.250585i) q^{27} +(1.46777 - 1.80168i) q^{28} +(0.993952 - 0.266329i) q^{29} +(-6.64345 + 9.63589i) q^{30} +(2.80257 + 2.80257i) q^{31} +(5.38239 + 1.74067i) q^{32} +(-6.32365 - 2.30162i) q^{33} +(-4.50830 - 9.48772i) q^{34} +(-3.27315 + 2.29188i) q^{35} +(2.86163 + 4.79443i) q^{36} +(5.96986 - 1.16654i) q^{37} +(-2.75069 + 0.758479i) q^{38} +(-7.33847 + 5.13846i) q^{39} +(-8.08714 - 5.40422i) q^{40} +(0.140677 - 0.386508i) q^{41} +(0.714951 + 3.88944i) q^{42} +(-3.20646 - 3.20646i) q^{43} +(1.83629 - 5.28245i) q^{44} +(-2.48480 - 9.27339i) q^{45} +(-3.00721 - 4.22909i) q^{46} +(-8.81582 + 5.08982i) q^{47} +(-8.19353 + 5.05312i) q^{48} +(0.981095 - 5.56406i) q^{49} +(6.25853 + 7.34966i) q^{50} +(17.2665 + 4.62654i) q^{51} +(-4.35834 - 6.03600i) q^{52} +(6.01123 - 7.16390i) q^{53} +(0.698869 + 0.118007i) q^{54} +(-5.51551 + 7.87697i) q^{55} +(-3.22334 + 0.641002i) q^{56} +(2.05207 - 4.40068i) q^{57} +(-1.32333 - 0.605428i) q^{58} +(-0.111422 - 1.27356i) q^{59} +(15.9242 - 4.51556i) q^{60} +(6.09539 + 13.0716i) q^{61} +(-0.529024 - 5.58012i) q^{62} +(-2.80925 - 1.62192i) q^{63} +(-4.29775 - 6.74754i) q^{64} +(4.37830 + 12.0293i) q^{65} +(4.81814 + 8.20716i) q^{66} +(2.24153 + 2.67135i) q^{67} +(-3.63622 + 14.4035i) q^{68} +(8.79713 + 0.769649i) q^{69} +(5.63280 + 0.451646i) q^{70} +(7.67184 - 1.35275i) q^{71} +(1.20158 - 7.80431i) q^{72} +13.4385i q^{73} +(-7.55789 - 4.10832i) q^{74} -16.4273 q^{75} +(3.68153 + 1.65211i) q^{76} +(0.564196 + 3.19972i) q^{77} +(12.6289 + 1.01260i) q^{78} +(-1.18256 + 13.5167i) q^{79} +(3.94429 + 13.1779i) q^{80} +(-7.33976 + 6.15879i) q^{81} +(-0.501630 + 0.294490i) q^{82} +(-3.20815 + 1.16767i) q^{83} +(2.72575 - 4.88345i) q^{84} +(12.7715 - 22.1209i) q^{85} +(0.605264 + 6.38430i) q^{86} +(2.24441 - 1.04659i) q^{87} +(-6.76170 + 4.10266i) q^{88} +(12.2326 - 1.07021i) q^{89} +(-5.64853 + 12.3464i) q^{90} +(3.92008 + 1.82796i) q^{91} +(-0.533452 + 7.31933i) q^{92} +(7.81341 + 5.47101i) q^{93} +(14.1952 + 2.39693i) q^{94} +(-5.31509 - 4.45989i) q^{95} +(13.4839 + 1.87615i) q^{96} +(4.13503 - 15.4322i) q^{97} +(-6.08339 + 5.18026i) q^{98} +(-7.68786 - 1.35558i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) $ 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{11}{36}\right)$	$-1$	$-1$

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 $

$2$	−1.08992	−	0.901154i	−0.770688	−	0.637212i
$2$	−1.08992	−	0.901154i	−0.770688	−	0.637212i
$3$	2.37004	−	0.417903i	1.36835	−	0.241276i	0.559272	−	0.828984i	$-0.311081\pi$
$3$	2.37004	−	0.417903i	1.36835	−	0.241276i	0.809073	+	0.587708i	$0.199969\pi$
$4$	0.375843	+	1.96437i	0.187921	+	0.982184i
$5$	0.299719	−	3.42580i	0.134038	−	1.53206i	−0.569847	−	0.821751i	$-0.692998\pi$
$5$	0.299719	−	3.42580i	0.134038	−	1.53206i	0.703886	−	0.710313i	$-0.251447\pi$
$6$	−2.95975	−	1.68030i	−1.20831	−	0.685978i
$7$	−0.746880	−	0.890097i	−0.282294	−	0.336425i	0.606201	−	0.795312i	$-0.292693\pi$
$7$	−0.746880	−	0.890097i	−0.282294	−	0.336425i	−0.888495	+	0.458887i	$0.848248\pi$
$8$	1.36056	−	2.47969i	0.481031	−	0.876704i
$9$	2.62339	−	0.954836i	0.874463	−	0.318279i
$10$	−3.41384	+	3.46375i	−1.07955	+	1.09533i
$11$	−2.42163	−	1.39813i	−0.730149	−	0.421551i	0.0883280	−	0.996091i	$-0.471848\pi$
$11$	−2.42163	−	1.39813i	−0.730149	−	0.421551i	−0.818476	+	0.574540i	$0.805181\pi$
$12$	1.71168	+	4.49857i	0.494119	+	1.29863i
$13$	−3.37374	+	1.57320i	−0.935708	+	0.436328i	−0.829808	−	0.558049i	$-0.811550\pi$
$13$	−3.37374	+	1.57320i	−0.935708	+	0.436328i	−0.105900	+	0.994377i	$0.533772\pi$
$14$	0.0119235	+	1.64319i	0.00318670	+	0.439160i
$15$	−0.721305	−	8.24455i	−0.186240	−	2.12873i
$16$	−3.71748	+	1.47659i	−0.929371	+	0.369147i
$17$	6.73179	+	3.13908i	1.63270	+	0.761340i	0.999916	−	0.0129896i	$-0.00413485\pi$
$17$	6.73179	+	3.13908i	1.63270	+	0.761340i	0.632783	+	0.774329i	$0.281913\pi$
$18$	−3.71973	−	1.32339i	−0.876749	−	0.311925i
$19$	1.15726	−	1.65274i	0.265493	−	0.379164i	−0.664165	−	0.747586i	$-0.731213\pi$
$19$	1.15726	−	1.65274i	0.265493	−	0.379164i	0.929659	+	0.368422i	$0.120102\pi$
$20$	6.84218	−	0.698804i	1.52996	−	0.156257i
$21$	−2.14211	−	1.79745i	−0.467447	−	0.392235i
$22$	1.37945	+	3.70611i	0.294099	+	0.790144i
$23$	3.54434	+	0.949703i	0.739046	+	0.198027i	0.608654	−	0.793436i	$-0.291710\pi$
$23$	3.54434	+	0.949703i	0.739046	+	0.198027i	0.130392	+	0.991463i	$0.458376\pi$
$24$	2.18832	−	6.44556i	0.446689	−	1.31570i
$25$	−6.72223	−	1.18531i	−1.34445	−	0.237062i
$26$	5.09480	+	1.32560i	0.999173	+	0.259972i
$27$	−0.434026	+	0.250585i	−0.0835284	+	0.0482251i
$28$	1.46777	−	1.80168i	0.277382	−	0.340486i
$29$	0.993952	−	0.266329i	0.184572	−	0.0494560i	−0.165349	−	0.986235i	$-0.552875\pi$
$29$	0.993952	−	0.266329i	0.184572	−	0.0494560i	0.349921	+	0.936779i	$0.386208\pi$
$30$	−6.64345	+	9.63589i	−1.21292	+	1.75926i
$31$	2.80257	+	2.80257i	0.503356	+	0.503356i	0.912479	−	0.409123i	$-0.134165\pi$
$31$	2.80257	+	2.80257i	0.503356	+	0.503356i	−0.409123	+	0.912479i	$0.634165\pi$
$32$	5.38239	+	1.74067i	0.951480	+	0.307709i
$33$	−6.32365	−	2.30162i	−1.10081	−	0.400661i
$34$	−4.50830	−	9.48772i	−0.773167	−	1.62713i
$35$	−3.27315	+	2.29188i	−0.553263	+	0.387399i
$36$	2.86163	+	4.79443i	0.476938	+	0.799072i
$37$	5.96986	−	1.16654i	0.981438	−	0.191778i
$37$	5.96986	−	1.16654i	0.981438	−	0.191778i
$38$	−2.75069	+	0.758479i	−0.446220	+	0.123042i
$39$	−7.33847	+	5.13846i	−1.17510	+	0.822811i
$40$	−8.08714	−	5.40422i	−1.27869	−	0.854482i
$41$	0.140677	−	0.386508i	0.0219701	−	0.0603624i	−0.928223	−	0.372025i	$-0.878664\pi$
$41$	0.140677	−	0.386508i	0.0219701	−	0.0603624i	0.950193	+	0.311662i	$0.100886\pi$
$42$	0.714951	+	3.88944i	0.110319	+	0.600154i
$43$	−3.20646	−	3.20646i	−0.488981	−	0.488981i	0.419004	−	0.907985i	$-0.362379\pi$
$43$	−3.20646	−	3.20646i	−0.488981	−	0.488981i	−0.907985	+	0.419004i	$0.862379\pi$
$44$	1.83629	−	5.28245i	0.276831	−	0.796359i
$45$	−2.48480	−	9.27339i	−0.370412	−	1.38239i
$46$	−3.00721	−	4.22909i	−0.443389	−	0.623546i
$47$	−8.81582	+	5.08982i	−1.28592	+	0.742426i	−0.977924	−	0.208962i	$-0.932992\pi$
$47$	−8.81582	+	5.08982i	−1.28592	+	0.742426i	−0.307996	+	0.951388i	$0.599658\pi$
$48$	−8.19353	+	5.05312i	−1.18263	+	0.729356i
$49$	0.981095	−	5.56406i	0.140156	−	0.794866i
$50$	6.25853	+	7.34966i	0.885090	+	1.03940i
$51$	17.2665	+	4.62654i	2.41779	+	0.647845i
$52$	−4.35834	−	6.03600i	−0.604394	−	0.837042i
$53$	6.01123	−	7.16390i	0.825705	−	0.984037i	−0.174294	−	0.984694i	$-0.555764\pi$
$53$	6.01123	−	7.16390i	0.825705	−	0.984037i	1.00000		0.000656130i	$0.000208853\pi$
$54$	0.698869	+	0.118007i	0.0951040	+	0.0160587i
$55$	−5.51551	+	7.87697i	−0.743712	+	1.06213i
$56$	−3.22334	+	0.641002i	−0.430737	+	0.0856575i
$57$	2.05207	−	4.40068i	0.271803	−	0.582884i
$58$	−1.32333	−	0.605428i	−0.173762	−	0.0794965i
$59$	−0.111422	−	1.27356i	−0.0145060	−	0.165804i	0.985486	−	0.169755i	$-0.0542978\pi$
$59$	−0.111422	−	1.27356i	−0.0145060	−	0.165804i	−0.999992	+	0.00395147i	$0.998742\pi$
$60$	15.9242	−	4.51556i	2.05581	−	0.582956i
$61$	6.09539	+	13.0716i	0.780435	+	1.67365i	0.738239	+	0.674540i	$0.235658\pi$
$61$	6.09539	+	13.0716i	0.780435	+	1.67365i	0.0421966	+	0.999109i	$0.486564\pi$
$62$	−0.529024	−	5.58012i	−0.0671861	−	0.708675i
$63$	−2.80925	−	1.62192i	−0.353933	−	0.204343i
$64$	−4.29775	−	6.74754i	−0.537219	−	0.843443i
$65$	4.37830	+	12.0293i	0.543061	+	1.49205i
$66$	4.81814	+	8.20716i	0.593073	+	1.01023i
$67$	2.24153	+	2.67135i	0.273846	+	0.326357i	0.885386	−	0.464856i	$-0.153894\pi$
$67$	2.24153	+	2.67135i	0.273846	+	0.326357i	−0.611540	+	0.791214i	$0.709450\pi$
$68$	−3.63622	+	14.4035i	−0.440957	+	1.74668i
$69$	8.79713	+	0.769649i	1.05905	+	0.0926548i
$70$	5.63280	+	0.451646i	0.673248	+	0.0539820i
$71$	7.67184	−	1.35275i	0.910480	−	0.160542i	0.301259	−	0.953542i	$-0.402593\pi$
$71$	7.67184	−	1.35275i	0.910480	−	0.160542i	0.609221	+	0.793000i	$0.291482\pi$
$72$	1.20158	−	7.80431i	0.141608	−	0.919747i
$73$			13.4385i			1.57286i	0.617678	+	0.786431i	$0.288074\pi$
$73$			13.4385i			1.57286i	−0.617678	+	0.786431i	$0.711926\pi$
$74$	−7.55789	−	4.10832i	−0.878587	−	0.477583i
$75$	−16.4273			−1.89686
$76$	3.68153	+	1.65211i	0.422301	+	0.189510i
$77$	0.564196	+	3.19972i	0.0642962	+	0.364642i
$78$	12.6289	+	1.01260i	1.42994	+	0.114654i
$79$	−1.18256	+	13.5167i	−0.133048	+	1.52075i	0.577089	+	0.816682i	$0.304189\pi$
$79$	−1.18256	+	13.5167i	−0.133048	+	1.52075i	−0.710137	+	0.704064i	$0.751367\pi$
$80$	3.94429	+	13.1779i	0.440985	+	1.47334i
$81$	−7.33976	+	6.15879i	−0.815529	+	0.684310i
$82$	−0.501630	+	0.294490i	−0.0553958	+	0.0325210i
$83$	−3.20815	+	1.16767i	−0.352140	+	0.128169i	−0.512033	−	0.858966i	$-0.671107\pi$
$83$	−3.20815	+	1.16767i	−0.352140	+	0.128169i	0.159893	+	0.987134i	$0.448885\pi$
$84$	2.72575	−	4.88345i	0.297403	−	0.532828i
$85$	12.7715	−	22.1209i	1.38527	−	2.39935i
$86$	0.605264	+	6.38430i	0.0652673	+	0.688436i
$87$	2.24441	−	1.04659i	0.240626	−	0.112206i
$88$	−6.76170	+	4.10266i	−0.720800	+	0.437345i
$89$	12.2326	−	1.07021i	1.29665	−	0.113442i	0.582153	−	0.813079i	$-0.302211\pi$
$89$	12.2326	−	1.07021i	1.29665	−	0.113442i	0.714498	+	0.699637i	$0.246655\pi$
$90$	−5.64853	+	12.3464i	−0.595407	+	1.30143i
$91$	3.92008	+	1.82796i	0.410936	+	0.191623i
$92$	−0.533452	+	7.31933i	−0.0556162	+	0.763093i
$93$	7.81341	+	5.47101i	0.810213	+	0.567317i
$94$	14.1952	+	2.39693i	1.46413	+	0.247224i
$95$	−5.31509	−	4.45989i	−0.545317	−	0.457575i
$96$	13.4839	+	1.87615i	1.37620	+	0.191483i
$97$	4.13503	−	15.4322i	0.419849	−	1.56690i	−0.355071	−	0.934839i	$-0.615543\pi$
$97$	4.13503	−	15.4322i	0.419849	−	1.56690i	0.774920	−	0.632059i	$-0.217790\pi$
$98$	−6.08339	+	5.18026i	−0.614515	+	0.523285i
$99$	−7.68786	−	1.35558i	−0.772659	−	0.136241i
$100$	−0.198115	−	13.6504i	−0.0198115	−	1.36504i
$101$	−0.0797079	−	0.138058i	−0.00793124	−	0.0137373i	0.862033	−	0.506853i	$-0.169191\pi$
$101$	−0.0797079	−	0.138058i	−0.00793124	−	0.0137373i	−0.869964	+	0.493116i	$0.835858\pi$
$102$	−14.6498	−	20.6023i	−1.45055	−	2.03993i
$103$	−13.9264	+	3.73156i	−1.37220	+	0.367681i	−0.868283	−	0.496069i	$-0.834776\pi$
$103$	−13.9264	+	3.73156i	−1.37220	+	0.367681i	−0.503921	+	0.863750i	$0.668110\pi$
$104$	−0.689124	+	10.5063i	−0.0675742	+	1.03023i
$105$	−6.79972	+	6.79972i	−0.663585	+	0.663585i
$106$	−13.0075	+	2.39102i	−1.26340	+	0.232237i
$107$	−6.30978	−	2.29657i	−0.609990	−	0.222018i	0.0185090	−	0.999829i	$-0.494108\pi$
$107$	−6.30978	−	2.29657i	−0.609990	−	0.222018i	−0.628499	+	0.777811i	$0.716330\pi$
$108$	−0.655367	−	0.758406i	−0.0630627	−	0.0729777i
$109$	−6.71951	−	9.59646i	−0.643613	−	0.919174i	0.356272	−	0.934382i	$-0.384048\pi$
$109$	−6.71951	−	9.59646i	−0.643613	−	0.919174i	−0.999884	+	0.0152084i	$0.995159\pi$
$110$	13.1098	−	3.61492i	1.24997	−	0.344669i
$111$	13.6613	−	5.25958i	1.29668	−	0.499217i
$112$	4.09082	+	2.20609i	0.386546	+	0.208456i
$113$	−0.0773099	−	0.110410i	−0.00727270	−	0.0103865i	0.815499	−	0.578758i	$-0.196462\pi$
$113$	−0.0773099	−	0.110410i	−0.00727270	−	0.0103865i	−0.822772	+	0.568372i	$0.807574\pi$
$114$	−6.20228	+	2.94715i	−0.580897	+	0.276026i
$115$	4.31580	−	11.8576i	0.402450	−	1.10572i
$116$	0.896737	+	1.85239i	0.0832600	+	0.171990i
$117$	−7.34849	+	7.34849i	−0.679368	+	0.679368i
$118$	−1.02624	+	1.48849i	−0.0944727	+	0.137027i
$119$	−2.23375	−	8.33646i	−0.204767	−	0.764202i
$120$	−21.4253	−	9.42860i	−1.95586	−	0.860709i
$121$	−1.59048	−	2.75479i	−0.144589	−	0.250435i
$122$	5.13606	−	19.7399i	0.464997	−	1.78716i
$123$	0.171889	−	0.974831i	0.0154987	−	0.0878975i
$124$	−4.45195	+	6.55860i	−0.399797	+	0.588980i
$125$	−1.62517	+	6.06521i	−0.145360	+	0.542489i
$126$	1.60025	+	4.29933i	0.142562	+	0.383015i
$127$	−11.7661	+	14.0222i	−1.04407	+	1.24427i	−0.0750766	+	0.997178i	$0.523920\pi$
$127$	−11.7661	+	14.0222i	−1.04407	+	1.24427i	−0.968991	+	0.247094i	$0.920524\pi$
$128$	−1.39638	+	11.2272i	−0.123424	+	0.992354i
$129$	−8.93945	−	6.25947i	−0.787074	−	0.551115i
$130$	6.06825	−	17.0565i	0.532221	−	1.49595i
$131$	−6.49145	+	13.9210i	−0.567161	+	1.21628i	0.388401	+	0.921490i	$0.373027\pi$
$131$	−6.49145	+	13.9210i	−0.567161	+	1.21628i	−0.955562	+	0.294790i	$0.904750\pi$
$132$	2.14453	−	13.2870i	0.186658	−	1.15649i
$133$	−2.33543	+	0.204324i	−0.202507	+	0.0177171i
$134$	−0.0357848	−	4.93152i	−0.00309133	−	0.426018i
$135$	0.728368	+	1.56199i	0.0626880	+	0.134435i
$136$	16.9430	−	12.4218i	1.45285	−	1.06516i
$137$	−7.58037	+	13.1296i	−0.647635	+	1.12174i	0.336051	+	0.941844i	$0.390908\pi$
$137$	−7.58037	+	13.1296i	−0.647635	+	1.12174i	−0.983686	+	0.179893i	$0.942425\pi$
$138$	−8.89457	−	8.76642i	−0.757156	−	0.746247i
$139$	−0.163601	−	0.449490i	−0.0138765	−	0.0381253i	0.932561	−	0.361012i	$-0.117569\pi$
$139$	−0.163601	−	0.449490i	−0.0138765	−	0.0381253i	−0.946437	+	0.322887i	$0.895347\pi$
$140$	−5.73229	−	5.56828i	−0.484467	−	0.470605i
$141$	−18.7668	+	15.7472i	−1.58045	+	1.32616i
$142$	−9.58072	−	5.43912i	−0.803996	−	0.456441i
$143$	10.3695	+	0.907213i	0.867140	+	0.0758649i
$144$	−8.34251	+	7.42325i	−0.695209	+	0.618604i
$145$	−0.614483	−	3.48490i	−0.0510300	−	0.289406i
$146$	12.1102	−	14.6469i	1.00225	−	1.21219i
$147$		−	13.5971i		−	1.12147i
$148$	4.53525	+	11.2886i	0.372795	+	0.927914i
$149$		−	1.87355i		−	0.153488i	−0.997051	−	0.0767438i	$-0.975548\pi$
$149$		−	1.87355i		−	0.153488i	0.997051	−	0.0767438i	$-0.0244523\pi$
$150$	17.9044	+	14.8036i	1.46189	+	1.20871i
$151$	0.518059	+	2.93806i	0.0421590	+	0.239096i	0.998604	−	0.0528161i	$-0.0168197\pi$
$151$	0.518059	+	2.93806i	0.0421590	+	0.239096i	−0.956445	+	0.291912i	$0.905709\pi$
$152$	−2.52376	−	5.11829i	−0.204704	−	0.415149i
$153$	20.6574	+	1.80729i	1.67005	+	0.146111i
$154$	2.26851	−	3.99586i	0.182802	−	0.321995i
$155$	10.4410	−	8.76105i	0.838643	−	0.703705i
$156$	−12.8519	−	12.4842i	−1.02898	−	0.999537i
$157$	−2.73291	−	7.50860i	−0.218110	−	0.599251i	0.781589	−	0.623794i	$-0.214409\pi$
$157$	−2.73291	−	7.50860i	−0.218110	−	0.599251i	−0.999699	+	0.0245423i	$0.992187\pi$
$158$	13.4695	−	13.6664i	1.07158	−	1.08724i
$159$	11.2531	−	19.4909i	0.892426	−	1.54573i
$160$	7.57638	−	17.9173i	0.598965	−	1.41648i
$161$	−1.80187	−	3.86412i	−0.142007	−	0.304535i
$162$	13.5498	−	0.0983217i	1.06457	−	0.00772488i
$163$	−9.85212	+	0.861949i	−0.771678	+	0.0675130i	−0.466192	−	0.884684i	$-0.654374\pi$
$163$	−9.85212	+	0.861949i	−0.771678	+	0.0675130i	−0.305486	+	0.952197i	$0.598819\pi$
$164$	0.812117	+	0.131076i	0.0634156	+	0.0102353i
$165$	−9.78020	+	20.9737i	−0.761388	+	1.63280i
$166$	4.54887	+	1.61837i	0.353061	+	0.125610i
$167$	−13.3736	−	9.36431i	−1.03488	−	0.724632i	−0.0727871	−	0.997347i	$-0.523189\pi$
$167$	−13.3736	−	9.36431i	−1.03488	−	0.724632i	−0.962095	+	0.272715i	$0.912078\pi$
$168$	−7.37159	+	2.86625i	−0.568730	+	0.221136i
$169$	0.550937	−	0.656581i	0.0423798	−	0.0505062i
$170$	−33.8543	+	12.6009i	−2.59650	+	0.966443i
$171$	1.45785	−	5.44076i	0.111484	−	0.416066i
$172$	5.09355	−	7.50380i	0.388379	−	0.572159i
$173$	−1.29292	+	7.33254i	−0.0982992	+	0.557482i	0.895387	+	0.445289i	$0.146899\pi$
$173$	−1.29292	+	7.33254i	−0.0982992	+	0.557482i	−0.993686	+	0.112194i	$0.964212\pi$
$174$	−3.38936	−	0.881867i	−0.256947	−	0.0668542i
$175$	3.96566	+	6.86872i	0.299776	+	0.519226i
$176$	11.0668	+	1.62177i	0.834193	+	0.122246i
$177$	−0.796302	−	2.97184i	−0.0598537	−	0.223377i
$178$	−14.2969	−	9.85700i	−1.07160	−	0.738813i
$179$	12.7584	−	12.7584i	0.953606	−	0.953606i	−0.0453642	−	0.998971i	$-0.514445\pi$
$179$	12.7584	−	12.7584i	0.953606	−	0.953606i	0.998971	+	0.0453642i	$0.0144448\pi$
$180$	17.2825	−	8.36639i	1.28816	−	0.623594i
$181$	−3.94331	+	10.8341i	−0.293104	+	0.805296i	0.702505	+	0.711679i	$0.252065\pi$
$181$	−3.94331	+	10.8341i	−0.293104	+	0.805296i	−0.995608	+	0.0936167i	$0.970157\pi$
$182$	−2.62529	−	5.52493i	−0.194600	−	0.409535i
$183$	19.9090	+	28.4330i	1.47172	+	2.10183i
$184$	7.17726	−	7.49674i	0.529115	−	0.552667i
$185$	−2.20706	−	20.8012i	−0.162267	−	1.52933i
$186$	−3.58576	−	13.0040i	−0.262920	−	0.953502i
$187$	−11.9130	−	17.0136i	−0.871168	−	1.24416i
$188$	−13.3116	−	15.4045i	−0.970851	−	1.12349i
$189$	0.547210	+	0.199168i	0.0398037	+	0.0144874i
$190$	1.77397	+	9.65063i	0.128697	+	0.700131i
$191$	8.45436	−	8.45436i	0.611736	−	0.611736i	−0.331662	−	0.943398i	$-0.607610\pi$
$191$	8.45436	−	8.45436i	0.611736	−	0.611736i	0.943398	+	0.331662i	$0.107610\pi$
$192$	−13.0057	−	14.1959i	−0.938604	−	1.02450i
$193$	−0.875226	+	0.234516i	−0.0630001	+	0.0168808i	−0.290181	−	0.956972i	$-0.593716\pi$
$193$	−0.875226	+	0.234516i	−0.0630001	+	0.0168808i	0.227181	+	0.973852i	$0.427049\pi$
$194$	−18.4136	+	13.0935i	−1.32202	+	0.940057i
$195$	15.4038	+	26.6802i	1.10309	+	1.91061i
$196$	11.2986	−	0.163982i	0.807043	−	0.0117130i
$197$	5.20390	+	0.917588i	0.370762	+	0.0653754i	0.355925	−	0.934514i	$-0.384166\pi$
$197$	5.20390	+	0.917588i	0.370762	+	0.0653754i	0.0148374	+	0.999890i	$0.495277\pi$
$198$	7.15755	+	8.40541i	0.508665	+	0.597346i
$199$	−0.00601285	+	0.0224403i	−0.000426240	+	0.00159075i	−0.966139	−	0.258024i	$-0.916929\pi$
$199$	−0.00601285	+	0.0224403i	−0.000426240	+	0.00159075i	0.965712	+	0.259614i	$0.0835954\pi$
$200$	−12.0852	+	15.0564i	−0.854553	+	1.06465i
$201$	6.42889	+	5.39448i	0.453459	+	0.380497i
$202$	−0.0375366	+	0.222301i	−0.00264106	+	0.0156411i
$203$	−0.979421	−	0.685798i	−0.0687419	−	0.0481336i
$204$	−2.59874	+	35.6565i	−0.181948	+	2.49646i
$205$	−1.28194	−	0.597776i	−0.0895342	−	0.0417505i
$206$	18.5413	+	8.48270i	1.29183	+	0.591018i
$207$	10.2050	−	0.892821i	0.709296	−	0.0620554i
$208$	10.2189	−	10.8300i	0.708551	−	0.750924i
$209$	−5.11319	+	2.38432i	−0.353687	+	0.164927i
$210$	13.5387	−	1.28354i	0.934261	−	0.0885728i
$211$	−12.2970	+	21.2990i	−0.846560	+	1.46628i	0.0377001	+	0.999289i	$0.487997\pi$
$211$	−12.2970	+	21.2990i	−0.846560	+	1.46628i	−0.884260	+	0.466995i	$0.845337\pi$
$212$	16.3318	+	9.11576i	1.12167	+	0.626073i
$213$	17.6173	−	6.41217i	1.20712	−	0.439354i
$214$	4.80758	+	8.18916i	0.328639	+	0.559800i
$215$	−11.9457	+	10.0237i	−0.814692	+	0.683608i
$216$	0.0308551	+	1.41719i	0.00209943	+	0.0964274i
$217$	0.401375	−	4.58774i	0.0272471	−	0.311436i
$218$	−1.32417	+	16.5147i	−0.0896841	+	1.11851i
$219$	5.61600	+	31.8499i	0.379494	+	2.15222i
$220$	−17.5462	−	7.87400i	−1.18297	−	0.530865i
$221$	−27.6497			−1.85992
$222$	−19.6294	−	6.57845i	−1.31744	−	0.441517i
$223$		−	26.4842i		−	1.77351i	−0.462237	−	0.886757i	$-0.652953\pi$
$223$		−	26.4842i		−	1.77351i	0.462237	−	0.886757i	$-0.347047\pi$
$224$	−2.47063	−	6.09091i	−0.165076	−	0.406966i
$225$	−18.7668	+	3.30909i	−1.25112	+	0.220606i
$226$	−0.0152349	+	0.190006i	−0.00101341	+	0.0126390i
$227$	8.77568	+	0.767772i	0.582462	+	0.0509588i	0.374579	−	0.927195i	$-0.377787\pi$
$227$	8.77568	+	0.767772i	0.582462	+	0.0509588i	0.207883	+	0.978154i	$0.433343\pi$
$228$	9.41581	+	2.37706i	0.623578	+	0.157425i
$229$	−0.808829	−	0.963925i	−0.0534489	−	0.0636979i	0.738658	−	0.674081i	$-0.235460\pi$
$229$	−0.808829	−	0.963925i	−0.0534489	−	0.0636979i	−0.792107	+	0.610383i	$0.791016\pi$
$230$	−15.3893	+	9.03456i	−1.01474	+	0.595722i
$231$	2.67434	+	7.34769i	0.175959	+	0.483443i
$232$	0.691919	−	2.82705i	0.0454267	−	0.185605i
$233$	−19.8659	−	11.4696i	−1.30146	−	0.751397i	−0.320804	−	0.947146i	$-0.603953\pi$
$233$	−19.8659	−	11.4696i	−1.30146	−	0.751397i	−0.980654	+	0.195749i	$0.937286\pi$
$234$	14.6314	−	1.38713i	0.956483	−	0.0906796i
$235$	14.7944	+	31.7267i	0.965082	+	2.06962i
$236$	2.45987	−	0.697534i	0.160124	−	0.0454056i
$237$	2.84595	+	32.5293i	0.184864	+	2.11301i
$238$	−5.07783	+	11.0990i	−0.329147	+	0.719442i
$239$	10.5436	−	22.6108i	0.682009	−	1.46257i	−0.194359	−	0.980930i	$-0.562263\pi$
$239$	10.5436	−	22.6108i	0.682009	−	1.46257i	0.876368	−	0.481642i	$-0.159959\pi$
$240$	14.8552	+	29.5839i	0.958901	+	1.90963i
$241$	−8.09113	+	11.5553i	−0.521195	+	0.744344i	−0.990322	−	0.138787i	$-0.955680\pi$
$241$	−8.09113	+	11.5553i	−0.521195	+	0.744344i	0.469127	+	0.883131i	$0.344569\pi$
$242$	−0.748998	+	4.43576i	−0.0481474	+	0.285141i
$243$	−13.8553	+	16.5122i	−0.888821	+	1.05926i
$244$	−23.3866	+	16.8865i	−1.49717	+	1.08105i
$245$	−18.7673	−	5.02869i	−1.19900	−	0.321271i
$246$	−1.06582	+	0.907587i	−0.0679540	+	0.0578656i
$247$	−1.30420	+	7.39651i	−0.0829845	+	0.470629i
$248$	10.7626	−	3.13644i	0.683424	−	0.199164i
$249$	−7.11549	+	4.10813i	−0.450926	+	0.260342i
$250$	7.23699	−	5.14606i	0.457708	−	0.325465i
$251$	−5.01356	−	18.7109i	−0.316453	−	1.18102i	−0.922629	−	0.385688i	$-0.873964\pi$
$251$	−5.01356	−	18.7109i	−0.316453	−	1.18102i	0.606176	−	0.795330i	$-0.292703\pi$
$252$	2.13022	−	6.12799i	0.134191	−	0.386027i
$253$	−7.25527	−	7.25527i	−0.456135	−	0.456135i
$254$	25.4602	−	4.68006i	1.59752	−	0.293653i
$255$	21.0247	−	57.7648i	1.31662	−	3.61737i
$256$	11.6394	−	10.9784i	0.727461	−	0.686149i
$257$	7.27788	−	5.09603i	0.453982	−	0.317881i	−0.324124	−	0.946015i	$-0.605070\pi$
$257$	7.27788	−	5.09603i	0.453982	−	0.317881i	0.778106	+	0.628133i	$0.216181\pi$
$258$	4.10252	+	14.8781i	0.255412	+	0.926272i
$259$	−5.49710	−	4.44248i	−0.341573	−	0.276042i
$260$	−21.9844	+	13.1217i	−1.36341	+	0.813774i
$261$	2.35322	−	1.64774i	0.145661	−	0.101993i
$262$	19.6201	−	9.32291i	1.21213	−	0.575971i
$263$	−4.90886	−	1.78668i	−0.302693	−	0.110171i	0.186208	−	0.982510i	$-0.440380\pi$
$263$	−4.90886	−	1.78668i	−0.302693	−	0.110171i	−0.488902	+	0.872339i	$0.662602\pi$
$264$	−14.3110	+	12.5492i	−0.880782	+	0.772351i
$265$	−22.7404	−	22.7404i	−1.39693	−	1.39693i
$266$	2.72955	+	1.88189i	0.167360	+	0.115386i
$267$	28.5445	−	7.64848i	1.74690	−	0.468079i
$268$	−4.40505	+	5.40720i	−0.269081	+	0.330297i
$269$	6.82184	−	3.93859i	0.415935	−	0.240140i	−0.277402	−	0.960754i	$-0.589473\pi$
$269$	6.82184	−	3.93859i	0.415935	−	0.240140i	0.693337	+	0.720614i	$0.256140\pi$
$270$	0.613733	−	2.35881i	0.0373506	−	0.143553i
$271$	17.8972	+	3.15576i	1.08718	+	0.191699i	0.688388	−	0.725343i	$-0.258319\pi$
$271$	17.8972	+	3.15576i	1.08718	+	0.191699i	0.398791	+	0.917042i	$0.369430\pi$
$272$	−29.6604	−	1.72943i	−1.79843	−	0.104862i
$273$	10.0547	+	2.69414i	0.608537	+	0.163057i
$274$	20.0938	−	7.47909i	1.21391	−	0.451828i
$275$	14.6215	+	12.2689i	0.881711	+	0.739844i
$276$	1.79446	+	17.5701i	0.108014	+	1.05759i
$277$	9.75685	−	13.9342i	0.586232	−	0.837226i	−0.410995	−	0.911637i	$-0.634819\pi$
$277$	9.75685	−	13.9342i	0.586232	−	0.837226i	0.997228	+	0.0744111i	$0.0237077\pi$
$278$	−0.226748	+	0.637337i	−0.0135995	+	0.0382250i
$279$	10.0282	+	4.67623i	0.600374	+	0.279959i
$280$	1.22985	+	11.2346i	0.0734975	+	0.671398i
$281$	−0.206761	−	2.36329i	−0.0123343	−	0.140982i	0.987530	−	0.157428i	$-0.0503203\pi$
$281$	−0.206761	−	2.36329i	−0.0123343	−	0.140982i	−0.999865	+	0.0164462i	$0.994765\pi$
$282$	34.6450	−	0.251396i	2.06308	−	0.0149704i
$283$	23.9927	−	11.1880i	1.42622	−	0.665056i	0.452281	−	0.891875i	$-0.350610\pi$
$283$	23.9927	−	11.1880i	1.42622	−	0.665056i	0.973937	+	0.226819i	$0.0728326\pi$
$284$	5.54071	+	14.5619i	0.328781	+	0.864090i
$285$	−14.4608	−	8.34895i	−0.856584	−	0.494549i
$286$	−10.4844	−	10.3333i	−0.619953	−	0.611021i
$287$	−0.449099	+	0.163459i	−0.0265095	+	0.00964865i
$288$	15.7821	−	0.572845i	0.929972	−	0.0337552i
$289$	24.5357	+	29.2405i	1.44328	+	1.72003i
$290$	−2.47070	+	4.35200i	−0.145085	+	0.255558i
$291$	3.35107	−	38.3029i	0.196443	−	2.24536i
$292$	−26.3983	+	5.05078i	−1.54484	+	0.295574i
$293$	7.24262	−	1.27707i	0.423119	−	0.0746072i	0.0419652	−	0.999119i	$-0.486638\pi$
$293$	7.24262	−	1.27707i	0.423119	−	0.0746072i	0.381153	+	0.924512i	$0.375527\pi$
$294$	−12.2531	+	14.8197i	−0.714613	+	0.864303i
$295$	−4.39637			−0.255967
$296$	5.22968	−	16.3906i	0.303969	−	0.952682i
$297$	1.40140			0.0813175
$298$	−1.68836	+	2.04202i	−0.0978041	+	0.118291i
$299$	−13.4518	+	2.37191i	−0.777936	+	0.137171i
$300$	−6.17409	−	32.2693i	−0.356461	−	1.86307i
$301$	−0.459219	+	5.24890i	−0.0264690	+	0.302542i
$302$	2.08300	−	3.66909i	0.119863	−	0.211133i
$303$	−0.246606	−	0.293894i	−0.0141672	−	0.0168838i
$304$	−1.86168	+	7.85282i	−0.106775	+	0.450390i
$305$	46.6076	−	16.9638i	2.66875	−	0.971344i
$306$	−20.8862	−	20.5853i	−1.19399	−	1.17678i
$307$	−21.4305	−	12.3729i	−1.22310	−	0.706159i	−0.257525	−	0.966272i	$-0.582907\pi$
$307$	−21.4305	−	12.3729i	−1.22310	−	0.706159i	−0.965578	+	0.260112i	$0.916240\pi$
$308$	−6.07337	+	2.31088i	−0.346063	+	0.131675i
$309$	−31.4467	+	14.6638i	−1.78894	+	0.834195i
$310$	−19.2749	+	0.139865i	−1.09474	+	0.00794382i
$311$	0.0199558	+	0.228096i	0.00113159	+	0.0129341i	0.996740	−	0.0806869i	$-0.0257114\pi$
$311$	0.0199558	+	0.228096i	0.00113159	+	0.0129341i	−0.995608	+	0.0936210i	$0.970156\pi$
$312$	2.75735	+	25.1883i	0.156104	+	1.42601i
$313$	17.5759	+	8.19576i	0.993446	+	0.463252i	0.850214	−	0.526438i	$-0.176473\pi$
$313$	17.5759	+	8.19576i	0.993446	+	0.463252i	0.143232	+	0.989689i	$0.454250\pi$
$314$	−3.78776	+	10.6465i	−0.213756	+	0.600818i
$315$	−6.39837	+	9.13781i	−0.360507	+	0.514858i
$316$	−26.9962	+	2.75717i	−1.51865	+	0.155103i
$317$	−15.7098	−	13.1821i	−0.882349	−	0.740379i	0.0843118	−	0.996439i	$-0.473131\pi$
$317$	−15.7098	−	13.1821i	−0.882349	−	0.740379i	−0.966661	+	0.256061i	$0.917575\pi$
$318$	−29.8292	+	11.1027i	−1.67274	+	0.622609i
$319$	−2.77934	−	0.744723i	−0.155613	−	0.0416965i
$320$	−24.4038	+	12.7009i	−1.36422	+	0.710000i
$321$	−15.9142	−	2.80610i	−0.888244	−	0.156621i
$322$	−1.51828	+	5.83533i	−0.0846103	+	0.325190i
$323$	12.9785	−	7.49314i	0.722143	−	0.416930i
$324$	−14.8567	−	12.1033i	−0.825374	−	0.672403i
$325$	24.5438	−	6.57649i	1.36145	−	0.364798i
$326$	11.5148	+	7.93883i	0.637743	+	0.439691i
$327$	−19.9359	−	19.9359i	−1.10246	−	1.10246i
$328$	−0.767021	−	0.874704i	−0.0423516	−	0.0482975i
$329$	11.1148	+	4.04545i	0.612778	+	0.223033i
$330$	29.5602	−	14.0462i	1.62723	−	0.773216i
$331$	−28.6292	+	20.0464i	−1.57360	+	1.10185i	−0.627198	+	0.778860i	$0.715798\pi$
$331$	−28.6292	+	20.0464i	−1.57360	+	1.10185i	−0.946403	+	0.322988i	$0.895313\pi$
$332$	−3.49950	−	5.86313i	−0.192060	−	0.321781i
$333$	14.5474	−	8.76053i	0.797193	−	0.480074i
$334$	6.13746	+	22.2580i	0.335827	+	1.21790i
$335$	9.82334	−	6.87838i	0.536706	−	0.375806i
$336$	10.6174	+	3.51896i	0.579224	+	0.191975i
$337$	−6.87278	+	18.8828i	−0.374384	+	1.02861i	0.599263	+	0.800552i	$0.295460\pi$
$337$	−6.87278	+	18.8828i	−0.374384	+	1.02861i	−0.973647	+	0.228060i	$0.926762\pi$
$338$	−1.19216	+	0.219141i	−0.0648448	+	0.0119197i
$339$	−0.229368	−	0.229368i	−0.0124576	−	0.0124576i
$340$	48.2537	+	16.7740i	2.61692	+	0.909696i
$341$	−2.86843	−	10.7051i	−0.155334	−	0.579715i
$342$	−6.49190	+	4.61624i	−0.351042	+	0.249618i
$343$	−12.7292	+	7.34920i	−0.687312	+	0.396820i
$344$	−12.3136	+	3.58845i	−0.663906	+	0.193476i
$345$	5.27332	−	29.9065i	0.283906	−	1.61011i
$346$	8.01693	−	6.82674i	0.430993	−	0.367008i
$347$	0.372399	+	0.0997839i	0.0199914	+	0.00535668i	0.268801	−	0.963196i	$-0.413373\pi$
$347$	0.372399	+	0.0997839i	0.0199914	+	0.00535668i	−0.248809	+	0.968552i	$0.580039\pi$
$348$	2.89943	+	4.01550i	0.155426	+	0.215253i
$349$	9.10508	−	10.8510i	0.487384	−	0.580841i	−0.465166	−	0.885223i	$-0.654005\pi$
$349$	9.10508	−	10.8510i	0.487384	−	0.580841i	0.952550	+	0.304382i	$0.0984499\pi$
$350$	1.86753	−	11.0600i	0.0998239	−	0.591182i
$351$	1.07007	−	1.52822i	0.0571162	−	0.0815704i
$352$	−10.6005	−	11.7405i	−0.565007	−	0.625772i
$353$	−5.11616	+	10.9716i	−0.272306	+	0.583961i	−0.994139	−	0.108105i	$-0.965522\pi$
$353$	−5.11616	+	10.9716i	−0.272306	+	0.583961i	0.721834	+	0.692066i	$0.243300\pi$
$354$	−1.81018	+	3.95665i	−0.0962100	+	0.210294i
$355$	−2.33487	−	26.6876i	−0.123922	−	1.41643i
$356$	6.69982	+	23.6271i	0.355090	+	1.25223i
$357$	−8.77791	−	18.8243i	−0.464576	−	0.996287i
$358$	−25.4029	+	2.40832i	−1.34258	+	0.127284i
$359$	0.827373	+	0.477684i	0.0436671	+	0.0252112i	0.521675	−	0.853145i	$-0.325308\pi$
$359$	0.827373	+	0.477684i	0.0436671	+	0.0252112i	−0.478008	+	0.878356i	$0.658641\pi$
$360$	−26.3759	−	6.45547i	−1.39013	−	0.340233i
$361$	5.10609	+	14.0289i	0.268742	+	0.738362i
$362$	14.0611	−	8.25481i	0.739036	−	0.433863i
$363$	−4.92073	−	5.86430i	−0.258271	−	0.307796i
$364$	−2.11746	+	8.38751i	−0.110985	+	0.439625i
$365$	46.0378	+	4.02778i	2.40973	+	0.210824i
$366$	3.92334	−	48.9308i	0.205076	−	2.55765i
$367$	−22.2324	+	3.92018i	−1.16052	+	0.204632i	−0.720566	−	0.693387i	$-0.756118\pi$
$367$	−22.2324	+	3.92018i	−1.16052	+	0.204632i	−0.439958	+	0.898018i	$0.645007\pi$
$368$	−14.5783	+	1.70302i	−0.759949	+	0.0887760i
$369$		−	1.14828i		−	0.0597773i
$370$	−16.3395	+	24.6605i	−0.849452	+	1.28204i
$371$	−10.8662			−0.564146
$372$	−7.81046	+	17.4047i	−0.404954	+	0.902389i
$373$	−1.67458	−	9.49702i	−0.0867065	−	0.491737i	−0.996975	−	0.0777193i	$-0.975236\pi$
$373$	−1.67458	−	9.49702i	−0.0867065	−	0.491737i	0.910269	−	0.414018i	$-0.135875\pi$
$374$	−2.34763	+	29.2789i	−0.121393	+	1.51398i
$375$	−1.31705	+	15.0540i	−0.0680123	+	0.777384i
$376$	0.626721	+	28.7855i	0.0323207	+	1.48450i
$377$	−2.93435	+	2.46221i	−0.151127	+	0.126810i
$378$	−0.416933	−	0.710198i	−0.0214447	−	0.0365286i
$379$	9.68191	−	3.52393i	0.497327	−	0.181012i	−0.0811646	−	0.996701i	$-0.525864\pi$
$379$	9.68191	−	3.52393i	0.497327	−	0.181012i	0.578491	+	0.815689i	$0.303642\pi$
$380$	6.76323	−	12.1170i	0.346946	−	0.621590i
$381$	−22.0261	+	38.1504i	−1.12843	+	1.95450i
$382$	−16.8332	+	1.59588i	−0.861263	+	0.0816522i
$383$	−8.50329	+	3.96515i	−0.434498	+	0.202610i	−0.627546	−	0.778580i	$-0.715940\pi$
$383$	−8.50329	+	3.96515i	−0.434498	+	0.202610i	0.193048	+	0.981189i	$0.438163\pi$
$384$	1.38239	+	27.1925i	0.0705450	+	1.38766i
$385$	11.1307	−	0.973809i	0.567272	−	0.0496299i
$386$	1.16526	+	0.533110i	0.0593101	+	0.0271346i
$387$	−11.4734	−	5.35015i	−0.583228	−	0.271964i
$388$	31.8686	+	2.32267i	1.61788	+	0.117915i
$389$	−2.01502	−	1.41093i	−0.102165	−	0.0715370i	0.521377	−	0.853326i	$-0.325418\pi$
$389$	−2.01502	−	1.41093i	−0.102165	−	0.0715370i	−0.623543	+	0.781789i	$0.714307\pi$
$390$	7.25408	−	42.9605i	0.367324	−	2.17539i
$391$	20.8785	+	17.5192i	1.05587	+	0.885983i
$392$	−12.4623	−	10.0031i	−0.629443	−	0.505231i
$393$	−9.56742	+	35.7061i	−0.482612	+	1.80113i
$394$	−4.84494	−	5.68961i	−0.244084	−	0.286638i
$395$	45.9510	+	8.10240i	2.31205	+	0.407676i
$396$	−0.226573	−	15.6113i	−0.0113857	−	0.784496i
$397$	−3.02913	−	5.24660i	−0.152028	−	0.263320i	0.779945	−	0.625848i	$-0.215247\pi$
$397$	−3.02913	−	5.24660i	−0.152028	−	0.263320i	−0.931973	+	0.362528i	$0.881914\pi$
$398$	0.0267757	−	0.0190396i	0.00134214	−	0.000954367i
$399$	−5.44968	+	1.46024i	−0.272825	+	0.0731033i
$400$	26.7400	−	5.51958i	1.33700	−	0.275979i
$401$	2.00762	−	2.00762i	0.100256	−	0.100256i	−0.655200	−	0.755456i	$-0.727416\pi$
$401$	2.00762	−	2.00762i	0.100256	−	0.100256i	0.755456	+	0.655200i	$0.227416\pi$
$402$	−2.14571	−	11.6730i	−0.107018	−	0.582194i
$403$	−13.8642	−	5.04614i	−0.690623	−	0.251366i
$404$	0.241239	−	0.208464i	0.0120021	−	0.0103715i
$405$	18.8989	+	26.9904i	0.939095	+	1.34117i
$406$	0.449479	+	1.63007i	0.0223073	+	0.0808992i
$407$	−16.0877	−	5.52169i	−0.797440	−	0.273700i
$408$	34.9645	−	36.5208i	1.73100	−	1.80805i
$409$	7.01399	+	10.0170i	0.346819	+	0.495310i	0.954228	−	0.299080i	$-0.0966798\pi$
$409$	7.01399	+	10.0170i	0.346819	+	0.495310i	−0.607409	+	0.794390i	$0.707791\pi$
$410$	0.858516	+	1.80675i	0.0423991	+	0.0892289i
$411$	−12.4789	+	34.2856i	−0.615540	+	1.69118i
$412$	−12.5643	−	25.9540i	−0.618997	−	1.27866i
$413$	−1.05038	+	1.05038i	−0.0516856	+	0.0516856i
$414$	−11.9272	−	8.22317i	−0.586189	−	0.404147i
$415$	3.03867	+	11.3405i	0.149162	+	0.556681i
$416$	−20.8972	+	2.59502i	−1.02457	+	0.127231i
$417$	−0.575585	−	0.996942i	−0.0281865	−	0.0488205i
$418$	7.72160	+	2.00906i	0.377676	+	0.0982663i
$419$	0.313356	−	1.77713i	0.0153085	−	0.0868186i	−0.976196	−	0.216889i	$-0.930409\pi$
$419$	0.313356	−	1.77713i	0.0153085	−	0.0868186i	0.991505	+	0.130070i	$0.0415202\pi$
$420$	−15.9128	−	10.8015i	−0.776464	−	0.527060i
$421$	−9.82189	+	36.6558i	−0.478689	+	1.78649i	0.128246	+	0.991742i	$0.459065\pi$
$421$	−9.82189	+	36.6558i	−0.478689	+	1.78649i	−0.606936	+	0.794751i	$0.707602\pi$
$422$	32.5964	−	12.1327i	1.58677	−	0.590610i
$423$	−18.2674	+	21.7702i	−0.888191	+	1.05850i
$424$	−9.58563	−	24.6529i	−0.465520	−	1.19725i
$425$	−41.5318	−	29.0809i	−2.01459	−	1.41063i
$426$	−24.9797	−	8.88715i	−1.21027	−	0.430584i
$427$	7.08248	−	15.1884i	0.342745	−	0.735019i
$428$	2.13983	−	13.2579i	0.103433	−	0.640844i
$429$	24.9553	−	2.18330i	1.20485	−	0.105411i
$430$	22.0527	−	0.160022i	1.06348	−	0.00771696i
$431$	5.63354	+	12.0812i	0.271358	+	0.581929i	0.994011	−	0.109282i	$-0.0348552\pi$
$431$	5.63354	+	12.0812i	0.271358	+	0.581929i	−0.722653	+	0.691211i	$0.757077\pi$
$432$	1.24347	−	1.57242i	0.0598267	−	0.0756532i
$433$	10.3241	−	17.8819i	0.496144	−	0.859347i	−0.503846	−	0.863794i	$-0.668082\pi$
$433$	10.3241	−	17.8819i	0.496144	−	0.859347i	0.999990	+	0.00444632i	$0.00141531\pi$
$434$	−4.57173	+	4.63856i	−0.219450	+	0.222658i
$435$	−2.91270	−	8.00258i	−0.139653	−	0.383695i
$436$	16.3255	−	16.8064i	0.781850	−	0.804878i
$437$	5.67133	−	4.75881i	0.271296	−	0.227645i
$438$	22.5807	−	39.7747i	1.07895	−	1.90051i
$439$	1.25751	+	0.110018i	0.0600179	+	0.00525089i	0.117125	−	0.993117i	$-0.462632\pi$
$439$	1.25751	+	0.110018i	0.0600179	+	0.00525089i	−0.0571072	+	0.998368i	$0.518188\pi$
$440$	12.0283	+	24.3939i	0.573425	+	1.16293i
$441$	−2.73897	−	15.5335i	−0.130427	−	0.739690i
$442$	30.1359	+	24.9167i	1.43342	+	1.18517i
$443$		−	12.5969i		−	0.598495i	−0.954176	−	0.299247i	$-0.903264\pi$
$443$		−	12.5969i		−	0.598495i	0.954176	−	0.299247i	$-0.0967356\pi$
$444$	15.4663	+	24.8591i	0.733996	+	1.17976i
$445$		−	42.2271i		−	2.00176i
$446$	−23.8663	+	28.8656i	−1.13010	+	1.36683i
$447$	−0.782964	−	4.44041i	−0.0370329	−	0.210024i
$448$	−2.79606	+	8.86502i	−0.132102	+	0.418833i
$449$	−8.43306	−	0.737798i	−0.397981	−	0.0348188i	−0.113591	−	0.993528i	$-0.536235\pi$
$449$	−8.43306	−	0.737798i	−0.397981	−	0.0348188i	−0.284390	+	0.958709i	$0.591791\pi$
$450$	23.4363	+	13.3051i	1.10480	+	0.627210i
$451$	−0.881056	+	0.739294i	−0.0414873	+	0.0348120i
$452$	0.187829	−	0.193362i	0.00883475	−	0.00909497i
$453$	2.45565	+	6.74683i	0.115376	+	0.316994i
$454$	−8.87289	−	8.74505i	−0.416425	−	0.410425i
$455$	7.43716	−	12.8815i	0.348659	−	0.603896i
$456$	−8.12037	−	11.0759i	−0.380271	−	0.518676i
$457$	8.14798	+	17.4734i	0.381147	+	0.817372i	0.999505	+	0.0314750i	$0.0100205\pi$
$457$	8.14798	+	17.4734i	0.381147	+	0.817372i	−0.618358	+	0.785897i	$0.712202\pi$
$458$	0.0129125	+	1.77948i	0.000603362	+	0.0831495i
$459$	−3.70838	+	0.324441i	−0.173092	+	0.0151436i
$460$	24.9147	+	4.02124i	1.16165	+	0.187491i
$461$	−3.16349	+	6.78414i	−0.147339	+	0.315969i	−0.966101	−	0.258164i	$-0.916883\pi$
$461$	−3.16349	+	6.78414i	−0.147339	+	0.315969i	0.818763	+	0.574132i	$0.194660\pi$
$462$	3.70659	−	10.4184i	0.172446	−	0.484707i
$463$	−0.227265	−	0.159133i	−0.0105619	−	0.00739552i	0.568284	−	0.822833i	$-0.307608\pi$
$463$	−0.227265	−	0.159133i	−0.0105619	−	0.00739552i	−0.578845	+	0.815437i	$0.696497\pi$
$464$	−3.30174	+	2.45773i	−0.153280	+	0.114097i
$465$	21.0844	−	25.1274i	0.977766	−	1.16526i
$466$	11.3163	+	30.4031i	0.524219	+	1.40840i
$467$	1.31790	−	4.91849i	0.0609854	−	0.227600i	−0.928706	−	0.370817i	$-0.879078\pi$
$467$	1.31790	−	4.91849i	0.0609854	−	0.227600i	0.989691	+	0.143216i	$0.0457445\pi$
$468$	−17.1970	−	11.6733i	−0.794932	−	0.539597i
$469$	0.703607	−	3.99036i	0.0324896	−	0.184258i
$470$	12.4660	−	47.9116i	0.575013	−	2.21000i
$471$	−9.61497	−	16.6536i	−0.443034	−	0.767358i
$472$	−3.30964	−	1.45647i	−0.152339	−	0.0670394i
$473$	3.28182	+	12.2479i	0.150898	+	0.563159i
$474$	26.2121	−	38.0189i	1.20396	−	1.74627i
$475$	−9.73837	+	9.73837i	−0.446827	+	0.446827i
$476$	15.5363	−	7.52110i	0.712107	−	0.344729i
$477$	8.92944	−	24.5334i	0.408851	−	1.12331i
$478$	−31.8675	+	15.1425i	−1.45759	+	0.692603i
$479$	−22.0862	−	31.5424i	−1.00915	−	1.44121i	−0.894109	−	0.447849i	$-0.852190\pi$
$479$	−22.0862	−	31.5424i	−1.00915	−	1.44121i	−0.115037	−	0.993361i	$-0.536699\pi$
$480$	10.4687	−	45.6309i	0.477828	−	2.08276i
$481$	−18.3056	+	13.3274i	−0.834661	+	0.607677i
$482$	19.2318	−	5.30301i	0.875984	−	0.241545i
$483$	−5.88533	−	8.40513i	−0.267792	−	0.382447i
$484$	4.81365	−	4.15965i	0.218802	−	0.189075i
$485$	−51.6281	−	18.7911i	−2.34431	−	0.853260i
$486$	29.9812	−	5.51110i	1.35997	−	0.249988i
$487$	0.761040	−	0.761040i	0.0344860	−	0.0344860i	−0.689654	−	0.724140i	$-0.742237\pi$
$487$	0.761040	−	0.761040i	0.0344860	−	0.0344860i	0.724140	+	0.689654i	$0.242237\pi$
$488$	40.7067	+	2.67002i	1.84271	+	0.120866i
$489$	−22.9898	+	6.16009i	−1.03963	+	0.278569i
$490$	15.9232	+	22.3931i	0.719337	+	1.01162i
$491$	−1.74234	−	3.01782i	−0.0786306	−	0.136192i	0.824029	−	0.566548i	$-0.191721\pi$
$491$	−1.74234	−	3.01782i	−0.0786306	−	0.136192i	−0.902659	+	0.430356i	$0.858388\pi$
$492$	1.97953	−	0.0287298i	0.0892441	−	0.00129524i
$493$	7.52710	+	1.32723i	0.339004	+	0.0597755i
$494$	8.08687	−	6.88630i	0.363846	−	0.309829i
$495$	−6.94813	+	25.9308i	−0.312295	+	1.16550i
$496$	−14.5567	−	6.28027i	−0.653617	−	0.281992i
$497$	−6.93402	−	5.81834i	−0.311033	−	0.260988i
$498$	11.4574	+	1.93463i	0.513416	+	0.0866927i
$499$	16.5196	+	11.5672i	0.739521	+	0.517818i	0.881577	−	0.472041i	$-0.156482\pi$
$499$	16.5196	+	11.5672i	0.739521	+	0.517818i	−0.142056	+	0.989859i	$0.545371\pi$
$500$	−12.5251	−	0.912864i	−0.560140	−	0.0408245i
$501$	−35.6094	−	16.6050i	−1.59091	−	0.741855i
$502$	−11.3970	+	24.9113i	−0.508673	+	1.11185i
$503$	2.89630	−	0.253394i	0.129140	−	0.0112983i	−0.0224026	−	0.999749i	$-0.507132\pi$
$503$	2.89630	−	0.253394i	0.129140	−	0.0112983i	0.151542	+	0.988451i	$0.451576\pi$
$504$	−7.84403	+	4.75936i	−0.349401	+	0.211999i
$505$	−0.496850	+	0.231685i	−0.0221095	+	0.0103098i
$506$	1.36953	+	14.4458i	0.0608832	+	0.642193i
$507$	1.03136	−	1.78636i	0.0458042	−	0.0793352i
$508$	−31.9670	−	17.8427i	−1.41831	−	0.791642i
$509$	−9.54664	+	3.47469i	−0.423148	+	0.154013i	−0.544812	−	0.838558i	$-0.683399\pi$
$509$	−9.54664	+	3.47469i	−0.423148	+	0.154013i	0.121665	+	0.992571i	$0.461177\pi$
$510$	−74.9701	+	44.0124i	−3.31973	+	1.94890i
$511$	11.9616	−	10.0370i	0.529150	−	0.444010i
$512$	−22.5792	+	1.47666i	−0.997868	+	0.0652596i
$513$	−0.0881293	+	1.00732i	−0.00389100	+	0.0444744i
$514$	−12.5246	−	1.00424i	−0.552436	−	0.0442951i
$515$	8.60957	+	48.8273i	0.379383	+	2.15159i
$516$	8.93607	−	19.9129i	0.393389	−	0.876618i
$517$	28.4649			1.25188
$518$	1.98803	+	9.79568i	0.0873489	+	0.430397i
$519$			17.9188i			0.786546i
$520$	35.7859	+	5.50973i	1.56931	+	0.241618i
$521$	13.0324	−	2.29796i	0.570958	−	0.100675i	0.119287	−	0.992860i	$-0.461939\pi$
$521$	13.0324	−	2.29796i	0.570958	−	0.100675i	0.451671	+	0.892185i	$0.350828\pi$
$522$	−4.04969	−	0.324710i	−0.177250	−	0.0142122i
$523$	14.7352	+	1.28916i	0.644325	+	0.0563711i	0.404635	−	0.914478i	$-0.367399\pi$
$523$	14.7352	+	1.28916i	0.644325	+	0.0563711i	0.239690	+	0.970849i	$0.422954\pi$
$524$	−29.7857	−	7.51951i	−1.30119	−	0.328491i
$525$	12.2692	+	14.6219i	0.535474	+	0.638153i
$526$	3.74018	+	6.37098i	0.163080	+	0.277788i
$527$	10.0688	+	27.6638i	0.438604	+	1.20505i
$528$	26.9066	−	0.781180i	1.17096	−	0.0339965i
$529$	−8.25817	−	4.76786i	−0.359051	−	0.207298i
$530$	4.29257	+	45.2778i	0.186457	+	1.96674i
$531$	−1.50835	−	3.23466i	−0.0654567	−	0.140372i
$532$	−1.27912	−	4.51085i	−0.0554569	−	0.195570i
$533$	0.133446	+	1.52529i	0.00578018	+	0.0660678i
$534$	−38.0036	−	17.3868i	−1.64458	−	0.752400i
$535$	−9.75876	+	20.9277i	−0.421908	+	0.904784i
$536$	9.67386	−	1.92377i	0.417847	−	0.0830942i
$537$	24.9062	−	35.5697i	1.07478	−	1.53495i
$538$	−10.9845	−	1.85479i	−0.473576	−	0.0799655i
$539$	−10.1551	+	12.1024i	−0.437412	+	0.521287i
$540$	−2.79457	+	2.01785i	−0.120259	+	0.0868343i
$541$	19.8733	+	5.32503i	0.854419	+	0.228941i	0.659338	−	0.751846i	$-0.270837\pi$
$541$	19.8733	+	5.32503i	0.854419	+	0.228941i	0.195080	+	0.980787i	$0.437503\pi$
$542$	−16.6627	−	19.5677i	−0.715723	−	0.840503i
$543$	−4.81819	+	27.3253i	−0.206768	+	1.17264i
$544$	30.7690	+	28.6136i	1.31921	+	1.22680i
$545$	−34.8895	+	20.1435i	−1.49450	+	0.862851i
$546$	−8.53094	−	11.9972i	−0.365090	−	0.513433i
$547$	−2.12414	−	7.92739i	−0.0908216	−	0.338951i	0.905531	−	0.424280i	$-0.139473\pi$
$547$	−2.12414	−	7.92739i	−0.0908216	−	0.338951i	−0.996353	+	0.0853288i	$0.972806\pi$
$548$	−28.6404	−	9.95598i	−1.22346	−	0.425298i
$549$	28.4718	+	28.4718i	1.21515	+	1.21515i
$550$	−4.88008	−	26.5484i	−0.208087	−	1.13203i
$551$	0.710089	−	1.95095i	0.0302508	−	0.0831134i
$552$	13.8775	−	20.7670i	0.590666	−	0.883903i
$553$	12.9144	−	9.04275i	0.549175	−	0.384537i
$554$	−23.1910	+	6.39474i	−0.985293	+	0.271686i
$555$	−13.9237	−	48.3773i	−0.591028	−	2.05350i
$556$	0.821476	−	0.490310i	0.0348383	−	0.0207938i
$557$	−20.4710	+	14.3339i	−0.867383	+	0.607348i	−0.920284	−	0.391252i	$-0.872042\pi$
$557$	−20.4710	+	14.3339i	−0.867383	+	0.607348i	0.0529006	+	0.998600i	$0.483153\pi$
$558$	−6.71593	−	14.1337i	−0.284308	−	0.598326i
$559$	15.8622	+	5.77336i	0.670899	+	0.244187i
$560$	8.78371	−	13.3531i	0.371179	−	0.564272i
$561$	−35.3445	−	35.3445i	−1.49225	−	1.49225i
$562$	−1.90434	+	2.76212i	−0.0803296	+	0.116513i
$563$	−23.6966	+	6.34949i	−0.998694	+	0.267599i	−0.720898	−	0.693041i	$-0.756271\pi$
$563$	−23.6966	+	6.34949i	−0.998694	+	0.267599i	−0.277796	+	0.960640i	$0.589604\pi$
$564$	−37.9868	−	30.9465i	−1.59953	−	1.30308i
$565$	−0.401413	+	0.231756i	−0.0168876	+	0.00975005i
$566$	−36.2322	−	9.42714i	−1.52295	−	0.396252i
$567$	10.9638	+	1.93322i	0.460438	+	0.0811876i
$568$	7.08359	−	20.8643i	0.297221	−	0.875447i
$569$	9.55635	+	2.56062i	0.400623	+	0.107347i	0.453504	−	0.891254i	$-0.350174\pi$
$569$	9.55635	+	2.56062i	0.400623	+	0.107347i	−0.0528811	+	0.998601i	$0.516840\pi$
$570$	8.23740	+	22.1311i	0.345027	+	0.926969i
$571$	13.6245	+	11.4323i	0.570166	+	0.478426i	0.881701	−	0.471808i	$-0.156399\pi$
$571$	13.6245	+	11.4323i	0.570166	+	0.478426i	−0.311535	+	0.950235i	$0.600843\pi$
$572$	2.11520	+	20.7105i	0.0884408	+	0.865948i
$573$	16.5041	−	23.5703i	0.689469	−	0.984663i
$574$	0.636782	+	0.226551i	0.0265788	+	0.00945604i
$575$	−22.7002	−	10.5853i	−0.946663	−	0.441436i
$576$	−17.7175	−	13.5978i	−0.738228	−	0.566575i
$577$	−0.0631427	−	0.721725i	−0.00262867	−	0.0300458i	0.994767	−	0.102169i	$-0.0325782\pi$
$577$	−0.0631427	−	0.721725i	−0.00262867	−	0.0300458i	−0.997396	+	0.0721229i	$0.977023\pi$
$578$	−0.391699	−	53.9803i	−0.0162926	−	2.24528i
$579$	−1.97632	+	0.921573i	−0.0821330	+	0.0382992i
$580$	6.61469	−	2.51685i	0.274660	−	0.104506i
$581$	3.43544	+	1.98345i	0.142526	+	0.0822876i
$582$	−38.1692	+	38.7272i	−1.58217	+	1.60530i
$583$	−24.5730	+	8.94384i	−1.01771	+	0.370416i
$584$	33.3235	+	18.2840i	1.37893	+	0.756595i
$585$	22.9720	+	27.3769i	0.949774	+	1.13190i
$586$	−9.04470	−	5.13482i	−0.373633	−	0.212117i
$587$	−2.53704	+	28.9985i	−0.104715	+	1.19689i	0.744050	+	0.668124i	$0.232902\pi$
$587$	−2.53704	+	28.9985i	−0.104715	+	1.19689i	−0.848765	+	0.528770i	$0.822653\pi$
$588$	26.7097	−	5.11036i	1.10149	−	0.210748i
$589$	7.87520	−	1.38861i	0.324492	−	0.0572167i
$590$	4.79168	+	3.96181i	0.197270	+	0.163105i
$591$	12.7169			0.523105
$592$	−20.4703	+	13.1516i	−0.841326	+	0.540528i
$593$	−13.9982			−0.574838			−0.287419	−	0.957805i	$-0.592797\pi$
$593$	−13.9982			−0.574838			−0.287419	+	0.957805i	$0.592797\pi$
$594$	−1.52741	−	1.26288i	−0.0626704	−	0.0518165i
$595$	−29.2285	+	5.15378i	−1.19825	+	0.211284i
$596$	3.68035	−	0.704162i	0.150753	−	0.0288436i
$597$	−0.00487288	+	0.0556972i	−0.000199434	+	0.00227954i
$598$	16.7988	+	9.53693i	0.686953	+	0.389994i
$599$	27.6498	+	32.9517i	1.12974	+	1.34637i	0.930446	+	0.366430i	$0.119420\pi$
$599$	27.6498	+	32.9517i	1.12974	+	1.34637i	0.199293	+	0.979940i	$0.436135\pi$
$600$	−22.3504	+	40.7347i	−0.912450	+	1.66299i
$601$	30.5577	−	11.1221i	1.24647	−	0.453679i	0.367265	−	0.930116i	$-0.380294\pi$
$601$	30.5577	−	11.1221i	1.24647	−	0.453679i	0.879208	+	0.476437i	$0.158072\pi$
$602$	5.23058	−	5.30705i	0.213183	−	0.216299i
$603$	8.43110	+	4.86770i	0.343341	+	0.198228i
$604$	−5.57672	+	2.12191i	−0.226914	+	0.0863391i
$605$	−9.91404	+	4.62299i	−0.403063	+	0.187951i
$606$	0.00393693	+	0.542550i	0.000159927	+	0.0220396i
$607$	−0.731315	−	8.35897i	−0.0296832	−	0.339280i	−0.996486	−	0.0837573i	$-0.973308\pi$
$607$	−0.731315	−	8.35897i	−0.0296832	−	0.339280i	0.966803	−	0.255523i	$-0.0822476\pi$
$608$	9.10568	−	6.88126i	0.369284	−	0.279072i
$609$	−2.60787	−	1.21607i	−0.105676	−	0.0492776i
$610$	−66.0855	−	23.5115i	−2.67572	−	0.951953i
$611$	21.7350	−	31.0408i	0.879304	−	1.25578i
$612$	4.21375	+	41.2580i	0.170331	+	1.66776i
$613$	−7.36836	−	6.18279i	−0.297605	−	0.249720i	0.481742	−	0.876313i	$-0.340004\pi$
$613$	−7.36836	−	6.18279i	−0.297605	−	0.249720i	−0.779347	+	0.626593i	$0.784449\pi$
$614$	12.2076	+	32.7976i	0.492659	+	1.32361i
$615$	−3.28806	−	0.881032i	−0.132587	−	0.0355266i
$616$	8.70194	+	2.95438i	0.350611	+	0.119035i
$617$	−16.7635	−	2.95586i	−0.674874	−	0.118999i	−0.174301	−	0.984693i	$-0.555766\pi$
$617$	−16.7635	−	2.95586i	−0.674874	−	0.118999i	−0.500574	+	0.865694i	$0.666878\pi$
$618$	47.4886	+	12.3559i	1.91027	+	0.497028i
$619$	21.4973	−	12.4115i	0.864048	−	0.498859i	−0.00131758	−	0.999999i	$-0.500419\pi$
$619$	21.4973	−	12.4115i	0.864048	−	0.498859i	0.865366	+	0.501141i	$0.167086\pi$
$620$	21.1341	+	17.2172i	0.848767	+	0.691460i
$621$	−1.77632	+	0.475963i	−0.0712812	+	0.0190997i
$622$	0.183799	−	0.266589i	0.00736967	−	0.0106892i
$623$	−10.0889	−	10.0889i	−0.404202	−	0.404202i
$624$	19.6933	−	29.9380i	0.788363	−	1.19848i
$625$	−11.7803	−	4.28767i	−0.471211	−	0.171507i
$626$	−11.7706	−	24.7713i	−0.470448	−	0.990059i
$627$	−11.1221	+	7.78776i	−0.444173	+	0.311013i
$628$	13.7225	−	8.19048i	0.547588	−	0.326836i
$629$	43.8497	+	10.8870i	1.74840	+	0.434092i
$630$	15.2083	−	4.19355i	0.605912	−	0.167075i
$631$	13.4813	−	9.43967i	0.536680	−	0.375787i	−0.273588	−	0.961847i	$-0.588210\pi$
$631$	13.4813	−	9.43967i	0.536680	−	0.375787i	0.810268	+	0.586060i	$0.199322\pi$
$632$	31.9083	+	21.3226i	1.26924	+	0.848169i
$633$	−20.2435	+	55.6185i	−0.804607	+	2.21064i
$634$	5.24329	+	28.5243i	0.208238	+	1.13284i
$635$	44.5109	+	44.5109i	1.76636	+	1.76636i
$636$	42.5166	+	14.7796i	1.68589	+	0.586051i
$637$	5.44344	+	20.3152i	0.215677	+	0.804917i
$638$	2.35815	+	3.31631i	0.0933600	+	0.131294i
$639$	18.8346	−	10.8741i	0.745084	−	0.430174i
$640$	38.0436	+	8.14873i	1.50381	+	0.322107i
$641$	5.51474	−	31.2757i	0.217819	−	1.23531i	−0.658127	−	0.752907i	$-0.728651\pi$
$641$	5.51474	−	31.2757i	0.217819	−	1.23531i	0.875947	−	0.482408i	$-0.160238\pi$
$642$	14.8165	+	17.3996i	0.584759	+	0.686707i
$643$	−15.7001	−	4.20682i	−0.619151	−	0.165901i	−0.0644089	−	0.997924i	$-0.520516\pi$
$643$	−15.7001	−	4.20682i	−0.619151	−	0.165901i	−0.554742	+	0.832023i	$0.687183\pi$
$644$	6.91333	−	4.99183i	0.272424	−	0.196706i
$645$	−24.1230	+	28.7487i	−0.949842	+	1.13198i
$646$	−20.8980	−	3.52872i	−0.822220	−	0.138836i
$647$	20.4238	−	29.1682i	0.802944	−	1.14672i	−0.183564	−	0.983008i	$-0.558764\pi$
$647$	20.4238	−	29.1682i	0.802944	−	1.14672i	0.986508	−	0.163714i	$-0.0523476\pi$
$648$	5.28572	+	26.5798i	0.207643	+	1.04415i
$649$	−1.51078	+	3.23988i	−0.0593034	+	0.127176i
$650$	−32.6772	−	14.9499i	−1.28170	−	0.586384i
$651$	−0.965952	−	11.0409i	−0.0378586	−	0.432726i
$652$	−5.39603	−	19.0292i	−0.211325	−	0.745242i
$653$	11.4022	+	24.4522i	0.446204	+	0.956888i	0.992833	+	0.119513i	$0.0381333\pi$
$653$	11.4022	+	24.4522i	0.446204	+	0.956888i	−0.546628	+	0.837375i	$0.684089\pi$
$654$	3.76319	+	39.6939i	0.147152	+	1.55215i
$655$	45.7448	+	26.4108i	1.78740	+	1.03195i
$656$	0.0477466	+	1.64456i	0.00186419	+	0.0642093i
$657$	12.8316	+	35.2545i	0.500608	+	1.37541i
$658$	−8.46863	−	14.4253i	−0.330142	−	0.562359i
$659$	−10.8359	−	12.9137i	−0.422107	−	0.503048i	0.512521	−	0.858675i	$-0.328712\pi$
$659$	−10.8359	−	12.9137i	−0.422107	−	0.503048i	−0.934628	+	0.355627i	$0.884267\pi$
$660$	−44.8759	−	11.3291i	−1.74679	−	0.440985i
$661$	−42.8285	−	3.74701i	−1.66584	−	0.145742i	−0.785106	−	0.619361i	$-0.787392\pi$
$661$	−42.8285	−	3.74701i	−1.66584	−	0.145742i	−0.880730	+	0.473619i	$0.842947\pi$
$662$	49.2683	+	3.95040i	1.91487	+	0.153537i
$663$	−65.5311	+	11.5549i	−2.54502	+	0.448755i
$664$	−1.46942	+	9.54392i	−0.0570245	+	0.370376i
$665$			8.06195i			0.312629i
$666$	−23.7501	−	3.56119i	−0.920296	−	0.137993i
$667$	3.77584			0.146201
$668$	13.3686	−	29.7902i	0.517246	−	1.15262i
$669$	−11.0678	−	62.7687i	−0.427907	−	2.42678i
$670$	−16.9051	−	1.35548i	−0.653101	−	0.0523666i
$671$	3.51501	−	40.1767i	0.135695	−	1.55101i
$672$	−8.40092	−	13.4032i	−0.324072	−	0.517042i
$673$	8.39739	−	7.04624i	0.323695	−	0.271613i	−0.466430	−	0.884558i	$-0.654460\pi$
$673$	8.39739	−	7.04624i	0.323695	−	0.271613i	0.790125	+	0.612946i	$0.210015\pi$
$674$	24.5071	−	14.3873i	0.943978	−	0.554177i
$675$	3.21464	−	1.17003i	0.123732	−	0.0450347i
$676$	1.49683	+	0.835472i	0.0575705	+	0.0321335i
$677$	−4.23615	+	7.33722i	−0.162808	+	0.281992i	−0.935875	−	0.352333i	$-0.885389\pi$
$677$	−4.23615	+	7.33722i	−0.162808	+	0.281992i	0.773067	+	0.634325i	$0.218722\pi$
$678$	0.0432965	+	0.456689i	0.00166279	+	0.0175390i
$679$	−16.8245	+	7.84539i	−0.645664	+	0.301078i
$680$	−37.4766	−	61.7663i	−1.43716	−	2.36863i
$681$	21.1196	−	1.84773i	0.809305	−	0.0708050i
$682$	−6.52062	+	14.2526i	−0.249687	+	0.545761i
$683$	−24.5804	−	11.4620i	−0.940542	−	0.438582i	−0.108999	−	0.994042i	$-0.534764\pi$
$683$	−24.5804	−	11.4620i	−0.940542	−	0.438582i	−0.831543	+	0.555460i	$0.812542\pi$
$684$	11.2356	+	0.818879i	0.429603	+	0.0313106i
$685$	42.7074	+	29.9040i	1.63176	+	1.14257i
$686$	20.4965	+	3.46094i	0.782562	+	0.132139i
$687$	−2.31979	−	1.94653i	−0.0885054	−	0.0742648i
$688$	16.6546	+	7.18535i	0.634950	+	0.273939i
$689$	−9.01007	+	33.6260i	−0.343256	+	1.28105i
$690$	−32.6979	+	27.8436i	−1.24479	+	1.05999i
$691$	−15.0126	−	2.64712i	−0.571105	−	0.100701i	−0.119364	−	0.992851i	$-0.538086\pi$
$691$	−15.0126	−	2.64712i	−0.571105	−	0.100701i	−0.451741	+	0.892149i	$0.649197\pi$
$692$	−14.8897	+	0.216102i	−0.566023	+	0.00821495i
$693$	4.53531	+	7.85539i	0.172282	+	0.298402i
$694$	−0.315963	−	0.444345i	−0.0119938	−	0.0168671i
$695$	−1.58890	+	0.425744i	−0.0602703	+	0.0161494i
$696$	0.458446	−	6.98939i	0.0173773	−	0.264932i
$697$	2.16029	−	2.16029i	0.0818269	−	0.0818269i
$698$	−19.7022	+	3.62163i	−0.745740	+	0.137081i
$699$	−51.8762	−	18.8814i	−1.96214	−	0.714160i
$700$	−12.0022	+	10.3716i	−0.453642	+	0.392008i
$701$	−14.5841	−	20.8282i	−0.550832	−	0.786670i	0.443122	−	0.896461i	$-0.353871\pi$
$701$	−14.5841	−	20.8282i	−0.550832	−	0.786670i	−0.993955	+	0.109791i	$0.964982\pi$
$702$	−2.54345	+	0.701336i	−0.0959964	+	0.0264702i
$703$	4.98068	−	11.2166i	0.187850	−	0.423042i
$704$	0.973624	+	22.3488i	0.0366948	+	0.842304i
$705$	48.3221	+	69.0112i	1.81992	+	2.59911i
$706$	15.4633	−	7.34774i	0.581970	−	0.276536i
$707$	−0.0633529	+	0.174061i	−0.00238263	+	0.00654622i
$708$	5.53850	−	2.68117i	0.208150	−	0.100765i
$709$	31.6806	−	31.6806i	1.18979	−	1.18979i	0.212665	−	0.977125i	$-0.431786\pi$
$709$	31.6806	−	31.6806i	1.18979	−	1.18979i	0.977125	−	0.212665i	$-0.0682145\pi$
$710$	−21.5049	+	31.1914i	−0.807063	+	1.17059i
$711$	9.80390	+	36.5887i	0.367675	+	1.37218i
$712$	13.9894	−	31.7891i	0.524274	−	1.19135i
$713$	7.27165	+	12.5949i	0.272325	+	0.471681i
$714$	−7.39638	+	28.4272i	−0.276803	+	1.06386i
$715$	6.21586	−	35.2519i	0.232460	−	1.31835i
$716$	29.8573	+	20.2670i	1.11582	+	0.757414i
$717$	15.5397	−	57.9949i	0.580340	−	2.16586i
$718$	−0.471302	−	1.26623i	−0.0175888	−	0.0472552i
$719$	−1.81393	+	2.16176i	−0.0676483	+	0.0806201i	−0.798807	−	0.601587i	$-0.794535\pi$
$719$	−1.81393	+	2.16176i	−0.0676483	+	0.0806201i	0.731159	+	0.682207i	$0.238980\pi$
$720$	22.9302	+	30.8047i	0.854556	+	1.14802i
$721$	13.7228	+	9.60878i	0.511062	+	0.357850i
$722$	7.07695	−	19.8917i	0.263377	−	0.740292i
$723$	−14.3473	+	30.7679i	−0.533583	+	1.14427i
$724$	−22.7643	−	3.67417i	−0.846029	−	0.136550i
$725$	−6.99726	+	0.612181i	−0.259872	+	0.0227358i
$726$	0.0785568	+	10.8259i	0.00291552	+	0.401788i
$727$	19.2902	+	41.3680i	0.715435	+	1.53426i	0.840324	+	0.542085i	$0.182365\pi$
$727$	19.2902	+	41.3680i	0.715435	+	1.53426i	−0.124888	+	0.992171i	$0.539857\pi$
$728$	9.86630	−	7.23354i	0.365669	−	0.268093i
$729$	−11.5652	+	20.0316i	−0.428342	+	0.741910i
$730$	−46.5477	−	45.8771i	−1.72281	−	1.69799i
$731$	−11.5199	−	31.6506i	−0.426078	−	1.17064i
$732$	−48.3703	+	49.7950i	−1.78782	+	1.84048i
$733$	17.5376	−	14.7158i	0.647766	−	0.543541i	−0.258626	−	0.965978i	$-0.583270\pi$
$733$	17.5376	−	14.7158i	0.647766	−	0.543541i	0.906392	+	0.422437i	$0.138825\pi$
$734$	27.7642	+	15.7622i	1.02480	+	0.581792i
$735$	−46.5809	−	4.07530i	−1.71816	−	0.150320i
$736$	17.4239	+	11.2812i	0.642253	+	0.415830i
$737$	−1.69326	−	9.60296i	−0.0623721	−	0.353730i
$738$	−1.03478	+	1.25154i	−0.0380908	+	0.0460697i
$739$			8.17394i			0.300683i	0.988634	+	0.150342i	$0.0480374\pi$
$739$			8.17394i			0.300683i	−0.988634	+	0.150342i	$0.951963\pi$
$740$	40.0316	−	12.1535i	1.47159	−	0.446770i
$741$			18.0751i			0.664005i
$742$	11.8433	+	9.79215i	0.434781	+	0.359481i
$743$	2.91675	+	16.5417i	0.107005	+	0.606857i	0.990400	+	0.138228i	$0.0441408\pi$
$743$	2.91675	+	16.5417i	0.107005	+	0.606857i	−0.883395	+	0.468629i	$0.844748\pi$
$744$	24.1970	−	11.9312i	0.887107	−	0.437420i
$745$	−6.41842	−	0.561539i	−0.235153	−	0.0205732i
$746$	−6.73312	+	11.8600i	−0.246517	+	0.434227i
$747$	−7.30130	+	6.12651i	−0.267140	+	0.224157i
$748$	28.9435	−	29.7960i	1.05828	−	1.08945i
$749$	2.66848	+	7.33158i	0.0975040	+	0.267890i
$750$	15.0014	−	15.2207i	0.547775	−	0.555783i
$751$	3.15418	−	5.46320i	0.115098	−	0.199355i	−0.802721	−	0.596355i	$-0.796615\pi$
$751$	3.15418	−	5.46320i	0.115098	−	0.199355i	0.917819	+	0.397000i	$0.129949\pi$
$752$	25.2571	−	31.9386i	0.921032	−	1.16468i
$753$	−19.7017	−	42.2504i	−0.717969	−	1.53969i
$754$	5.41703	−	0.0393079i	0.197277	−	0.00143151i
$755$	10.2205	−	0.894175i	0.371961	−	0.0325424i
$756$	−0.185575	+	1.14978i	−0.00674929	+	0.0418170i
$757$	−12.8239	+	27.5009i	−0.466092	+	0.999537i	0.523013	+	0.852325i	$0.324808\pi$
$757$	−12.8239	+	27.5009i	−0.466092	+	0.999537i	−0.989105	+	0.147212i	$0.952970\pi$
$758$	−13.7281	−	4.88410i	−0.498627	−	0.177399i
$759$	−20.2273	−	14.1633i	−0.734205	−	0.514096i
$760$	−18.2907	+	7.11184i	−0.663472	+	0.257974i
$761$	5.00026	−	5.95907i	0.181259	−	0.216016i	−0.667762	−	0.744375i	$-0.732748\pi$
$761$	5.00026	−	5.95907i	0.181259	−	0.216016i	0.849022	+	0.528358i	$0.177192\pi$
$762$	58.3860	−	21.7318i	2.11510	−	0.787262i
$763$	−3.52311	+	13.1484i	−0.127545	+	0.476005i
$764$	19.7850	+	13.4300i	0.715795	+	0.485879i
$765$	12.3828	−	70.2265i	0.447702	−	2.53904i
$766$	12.8411	+	3.34109i	0.463968	+	0.120718i
$767$	2.37948	+	4.12139i	0.0859182	+	0.148815i
$768$	22.9980	−	30.8834i	0.829867	−	1.11441i
$769$	−5.01392	−	18.7122i	−0.180806	−	0.674779i	−0.995489	−	0.0948722i	$-0.969756\pi$
$769$	−5.01392	−	18.7122i	−0.180806	−	0.674779i	0.814683	−	0.579907i	$-0.196911\pi$
$770$	−13.0091	−	8.96909i	−0.468815	−	0.323224i
$771$	15.1193	−	15.1193i	0.544507	−	0.544507i
$772$	−0.789623	−	1.63112i	−0.0284192	−	0.0587055i
$773$	−15.2602	+	41.9270i	−0.548870	+	1.50801i	0.286368	+	0.958120i	$0.407552\pi$
$773$	−15.2602	+	41.9270i	−0.548870	+	1.50801i	−0.835238	+	0.549888i	$0.814670\pi$
$774$	7.68380	+	16.1706i	0.276188	+	0.581239i
$775$	−15.5176	−	22.1614i	−0.557408	−	0.796062i
$776$	−32.6410	−	31.2500i	−1.17174	−	1.12181i
$777$	−14.8849	−	8.23163i	−0.533993	−	0.295308i
$778$	0.924738	+	3.35364i	0.0331535	+	0.120234i
$779$	−0.475996	−	0.679793i	−0.0170543	−	0.0243561i
$780$	−46.6204	+	40.2864i	−1.66928	+	1.44248i
$781$	−20.4697	−	7.45035i	−0.732462	−	0.266595i
$782$	−6.96842	−	37.9093i	−0.249190	−	1.35563i
$783$	−0.364663	+	0.364663i	−0.0130320	+	0.0130320i
$784$	4.56862	+	22.1330i	0.163165	+	0.790464i
$785$	−26.5420	+	7.11192i	−0.947326	+	0.253835i
$786$	42.6044	−	30.2950i	1.51965	−	1.08059i
$787$	21.4119	+	37.0865i	0.763253	+	1.32199i	0.941165	+	0.337946i	$0.109732\pi$
$787$	21.4119	+	37.0865i	0.763253	+	1.32199i	−0.177913	+	0.984046i	$0.556935\pi$
$788$	0.153367	+	10.5672i	0.00546348	+	0.376442i
$789$	−12.3809	−	2.18308i	−0.440771	−	0.0777198i
$790$	−42.7813	−	50.2399i	−1.52209	−	1.78745i
$791$	−0.0405343	+	0.151276i	−0.00144124	+	0.00537876i
$792$	−13.8212	+	17.2192i	−0.491115	+	0.611857i
$793$	−41.1286	−	34.5110i	−1.46052	−	1.22552i
$794$	−1.42650	+	8.44808i	−0.0506245	+	0.299811i
$795$	−63.3991	−	44.3925i	−2.24853	−	1.57444i
$796$	−0.0463408	−	0.00337744i	−0.00164251	−	0.000119710i
$797$	15.5893	+	7.26942i	0.552202	+	0.257496i	0.678631	−	0.734480i	$-0.262574\pi$
$797$	15.5893	+	7.26942i	0.552202	+	0.257496i	−0.126429	+	0.991976i	$0.540351\pi$
$798$	7.25561	+	3.31946i	0.256846	+	0.117508i
$799$	−75.3236	+	6.58996i	−2.66476	+	0.233136i
$800$	−34.1184	−	18.0810i	−1.20627	−	0.639259i
$801$	31.0689	−	14.4877i	1.09777	−	0.511897i
$802$	−3.99731	+	0.378966i	−0.141150	+	0.0133818i
$803$	18.7888	−	32.5432i	0.663043	−	1.14842i
$804$	−8.18049	+	14.6562i	−0.288504	+	0.516884i
$805$	−13.7778	+	5.01469i	−0.485602	+	0.176745i
$806$	10.5634	+	17.9936i	0.372081	+	0.633798i
$807$	14.5221	−	12.1855i	0.511203	−	0.428950i
$808$	−0.450789	+	0.00981463i	−0.0158587	+	0.000345277i
$809$	−0.136831	+	1.56398i	−0.00481071	+	0.0549866i	−0.998221	−	0.0596292i	$-0.981008\pi$
$809$	−0.136831	+	1.56398i	−0.00481071	+	0.0549866i	0.993410	+	0.114616i	$0.0365637\pi$
$810$	3.72428	−	46.4482i	0.130858	−	1.63202i
$811$	8.89511	+	50.4467i	0.312350	+	1.77142i	0.586711	+	0.809796i	$0.300422\pi$
$811$	8.89511	+	50.4467i	0.312350	+	1.77142i	−0.274362	+	0.961627i	$0.588467\pi$
$812$	0.979052	−	2.18170i	0.0343580	−	0.0765625i
$813$	43.7360			1.53389
$814$	12.5584	+	20.5157i	0.440173	+	0.719076i
$815$			34.0097i			1.19131i
$816$	−71.0193	+	8.29636i	−2.48617	+	0.290431i
$817$	−9.01014	+	1.58873i	−0.315225	+	0.0555827i
$818$	1.38220	−	17.2384i	0.0483275	−	0.602727i
$819$	12.0293	+	1.05243i	0.420338	+	0.0367748i
$820$	0.692447	−	2.74286i	0.0241813	−	0.0957849i
$821$	1.24320	+	1.48158i	0.0433878	+	0.0517076i	0.787302	−	0.616568i	$-0.211477\pi$
$821$	1.24320	+	1.48158i	0.0433878	+	0.0517076i	−0.743914	+	0.668275i	$0.767033\pi$
$822$	44.4976	−	26.1230i	1.55203	−	0.911145i
$823$	13.0230	+	35.7804i	0.453953	+	1.24723i	0.929920	+	0.367763i	$0.119876\pi$
$823$	13.0230	+	35.7804i	0.453953	+	1.24723i	−0.475967	+	0.879463i	$0.657902\pi$
$824$	−9.69454	+	39.6101i	−0.337725	+	1.37988i
$825$	39.7809	+	22.9675i	1.38499	+	0.799626i
$826$	2.09137	−	0.198273i	0.0727682	−	0.00689881i
$827$	−11.7790	−	25.2601i	−0.409595	−	0.878380i	−0.997581	−	0.0695087i	$-0.977857\pi$
$827$	−11.7790	−	25.2601i	−0.409595	−	0.878380i	0.587986	−	0.808871i	$-0.299921\pi$
$828$	5.58930	+	19.7108i	0.194242	+	0.684998i
$829$	0.0658805	+	0.753017i	0.00228812	+	0.0261534i	0.997253	−	0.0740715i	$-0.0235993\pi$
$829$	0.0658805	+	0.753017i	0.00228812	+	0.0261534i	−0.994965	+	0.100225i	$0.968044\pi$
$830$	6.90760	−	15.0985i	0.239766	−	0.524076i
$831$	17.3010	−	37.1021i	0.600165	−	1.28706i
$832$	25.1148	+	16.0032i	0.870697	+	0.554813i
$833$	24.0706	−	34.3764i	0.833996	−	1.19107i
$834$	−0.271058	+	1.60528i	−0.00938598	+	0.0555862i
$835$	−36.0886	+	43.0087i	−1.24890	+	1.48838i
$836$	−6.60544	−	9.14806i	−0.228454	−	0.316392i
$837$	−1.91867	−	0.514106i	−0.0663189	−	0.0177701i
$838$	−1.94300	+	1.65455i	−0.0671199	+	0.0571554i
$839$	4.90875	−	27.8389i	0.169469	−	0.961105i	−0.774868	−	0.632124i	$-0.782183\pi$
$839$	4.90875	−	27.8389i	0.169469	−	0.961105i	0.944336	−	0.328982i	$-0.106705\pi$
$840$	7.60978	+	26.1126i	0.262562	+	0.900972i
$841$	−24.1977	+	13.9706i	−0.834404	+	0.481744i
$842$	43.7375	−	31.1008i	1.50730	−	1.07180i
$843$	−1.47766	−	5.51470i	−0.0508933	−	0.189936i
$844$	−46.4608	−	16.1507i	−1.59925	−	0.555931i
$845$	−2.08419	−	2.08419i	−0.0716983	−	0.0716983i
$846$	39.5283	−	7.26603i	1.35901	−	0.249811i
$847$	−1.26413	+	3.47317i	−0.0434361	+	0.119340i
$848$	−11.7685	+	35.5078i	−0.404133	+	1.21934i
$849$	52.1883	−	36.5426i	1.79110	−	1.25414i
$850$	19.0599	+	69.1224i	0.653750	+	2.37088i
$851$	22.2671	+	1.53497i	0.763305	+	0.0526180i
$852$	19.2172	+	32.1969i	0.658370	+	1.10305i
$853$	−22.3452	+	15.6463i	−0.765084	+	0.535717i	−0.889732	−	0.456484i	$-0.849109\pi$
$853$	−22.3452	+	15.6463i	−0.765084	+	0.535717i	0.124648	+	0.992201i	$0.460220\pi$
$854$	−21.4064	+	10.1717i	−0.732513	+	0.348069i
$855$	−18.2020	−	6.62499i	−0.622496	−	0.226570i
$856$	−14.2796	+	12.5217i	−0.488068	+	0.427983i
$857$	−13.1343	−	13.1343i	−0.448659	−	0.448659i	0.446250	−	0.894908i	$-0.352759\pi$
$857$	−13.1343	−	13.1343i	−0.448659	−	0.448659i	−0.894908	+	0.446250i	$0.852759\pi$
$858$	−29.1667	−	20.1089i	−0.995735	−	0.686507i
$859$	48.2033	−	12.9160i	1.64467	−	0.440689i	0.686560	−	0.727073i	$-0.259120\pi$
$859$	48.2033	−	12.9160i	1.64467	−	0.440689i	0.958115	+	0.286384i	$0.0924533\pi$
$860$	−24.1799	−	19.6985i	−0.824527	−	0.671713i
$861$	−0.996074	+	0.575083i	−0.0339461	+	0.0195988i
$862$	4.74690	−	18.2442i	0.161680	−	0.621399i
$863$	36.1996	+	6.38296i	1.23225	+	0.217278i	0.751590	−	0.659630i	$-0.229287\pi$
$863$	36.1996	+	6.38296i	1.23225	+	0.217278i	0.480657	+	0.876909i	$0.340398\pi$
$864$	−2.77228	+	0.593250i	−0.0943149	+	0.0201828i
$865$	24.7323	+	6.62700i	0.840923	+	0.225325i
$866$	−27.3667	+	10.1862i	−0.929959	+	0.346140i
$867$	70.3705	+	59.0478i	2.38991	+	2.00537i
$868$	9.16286	−	0.935820i	0.311008	−	0.0317638i
$869$	21.7618	−	31.0790i	0.738217	−	1.05428i
$870$	−4.03695	+	11.3470i	−0.136866	+	0.384698i
$871$	−11.7649	−	5.48607i	−0.398639	−	0.185888i
$872$	−32.9386	+	3.60576i	−1.11544	+	0.122106i
$873$	−3.88737	−	44.4328i	−0.131567	−	1.50382i
$874$	−10.4697	+	0.0759718i	−0.354143	+	0.00256978i
$875$	6.61243	−	3.08343i	0.223541	−	0.104239i
$876$	−60.4543	+	23.0025i	−2.04256	+	0.777181i
$877$	−27.9211	−	16.1202i	−0.942828	−	0.544342i	−0.0519823	−	0.998648i	$-0.516554\pi$
$877$	−27.9211	−	16.1202i	−0.942828	−	0.544342i	−0.890846	+	0.454306i	$0.849887\pi$
$878$	−1.27144	−	1.25313i	−0.0429092	−	0.0422909i
$879$	16.6316	−	6.05342i	0.560971	−	0.204177i
$880$	8.87281	−	37.4266i	0.299102	−	1.26165i
$881$	4.15010	+	4.94589i	0.139820	+	0.166631i	0.831410	−	0.555659i	$-0.187534\pi$
$881$	4.15010	+	4.94589i	0.139820	+	0.166631i	−0.691590	+	0.722290i	$0.743089\pi$
$882$	−11.0128	+	19.3985i	−0.370821	+	0.653180i
$883$	2.01422	−	23.0226i	0.0677839	−	0.774773i	−0.883896	−	0.467683i	$-0.845089\pi$
$883$	2.01422	−	23.0226i	0.0677839	−	0.774773i	0.951680	−	0.307091i	$-0.0993555\pi$
$884$	−10.3920	−	54.3143i	−0.349519	−	1.82679i
$885$	−10.4196	+	1.83726i	−0.350251	+	0.0617587i
$886$	−11.3517	+	13.7295i	−0.381368	+	0.461253i
$887$	33.2658			1.11696			0.558479	−	0.829519i	$-0.311385\pi$
$887$	33.2658			1.11696			0.558479	+	0.829519i	$0.311385\pi$
$888$	5.54492	−	41.0318i	0.186075	−	1.37694i
$889$	21.2690			0.713338
$890$	−38.0532	+	46.0241i	−1.27554	+	1.54273i
$891$	26.3849	−	4.65238i	0.883929	−	0.155861i
$892$	52.0247	−	9.95389i	1.74192	−	0.333281i
$893$	−1.79006	+	20.4605i	−0.0599020	+	0.684683i
$894$	−3.14812	+	5.54525i	−0.105289	+	0.185461i
$895$	−39.8837	−	47.5316i	−1.33317	−	1.58881i
$896$	11.0362	−	7.14246i	0.368694	−	0.238613i
$897$	−30.8901	+	11.2431i	−1.03139	+	0.375395i
$898$	8.52648	+	8.40363i	0.284532	+	0.280433i
$899$	3.53202	+	2.03921i	0.117800	+	0.0680116i
$900$	−13.5536	−	35.6212i	−0.451788	−	1.18737i
$901$	62.9544	−	29.3561i	2.09731	−	0.977994i
$902$	1.62650	−	0.0118024i	0.0541564	−	0.000392978i
$903$	1.10516	+	12.6320i	0.0367774	+	0.420368i
$904$	−0.378967	+	0.0414853i	−0.0126043	+	0.00137978i
$905$	35.9337	+	16.7562i	1.19448	+	0.556994i
$906$	3.40348	−	9.56641i	0.113073	−	0.317823i
$907$	−21.0874	+	30.1159i	−0.700194	+	0.999981i	0.298763	+	0.954327i	$0.403426\pi$
$907$	−21.0874	+	30.1159i	−0.700194	+	0.999981i	−0.998957	+	0.0456535i	$0.985463\pi$
$908$	1.79009	+	17.5272i	0.0594061	+	0.581661i
$909$	−0.340928	−	0.286072i	−0.0113079	−	0.00948842i
$910$	−19.7141	+	7.33780i	−0.653518	+	0.243246i
$911$	6.65852	+	1.78415i	0.220607	+	0.0591114i	0.367429	−	0.930051i	$-0.380238\pi$
$911$	6.65852	+	1.78415i	0.220607	+	0.0591114i	−0.146823	+	0.989163i	$0.546905\pi$
$912$	−1.13056	+	19.3895i	−0.0374364	+	0.642051i
$913$	9.40151	+	1.65774i	0.311144	+	0.0548632i
$914$	6.86560	−	26.3872i	0.227094	−	0.872810i
$915$	103.373	−	59.6824i	3.41740	−	1.97304i
$916$	1.58951	−	1.95112i	0.0525189	−	0.0644669i
$917$	17.2393	−	4.61927i	0.569293	−	0.152542i
$918$	4.33420	+	2.98821i	0.143050	+	0.0986255i
$919$	−12.4009	−	12.4009i	−0.409066	−	0.409066i	0.472347	−	0.881413i	$-0.343407\pi$
$919$	−12.4009	−	12.4009i	−0.409066	−	0.409066i	−0.881413	+	0.472347i	$0.843407\pi$
$920$	−23.5312	−	26.8348i	−0.775800	−	0.884716i
$921$	−55.9619	−	20.3685i	−1.84401	−	0.671164i
$922$	9.56150	−	4.54336i	0.314891	−	0.149627i
$923$	−23.7547	+	16.6332i	−0.781894	+	0.547488i
$924$	−13.4284	+	8.01497i	−0.441763	+	0.263673i
$925$	−41.5135	+	0.765634i	−1.36495	+	0.0251739i
$926$	0.104297	+	0.378242i	0.00342742	+	0.0124298i
$927$	−32.9712	+	23.0867i	−1.08292	+	0.758267i
$928$	5.81342	+	0.296657i	0.190835	+	0.00973823i
$929$	−4.95827	+	13.6227i	−0.162675	+	0.446947i	−0.994071	−	0.108734i	$-0.965320\pi$
$929$	−4.95827	+	13.6227i	−0.162675	+	0.446947i	0.831395	+	0.555681i	$0.187543\pi$
$930$	−45.6239	+	8.38653i	−1.49607	+	0.275005i
$931$	−8.06055	−	8.06055i	−0.264174	−	0.264174i
$932$	15.0640	−	43.3347i	0.493438	−	1.41947i
$933$	0.142618	+	0.532257i	0.00466910	+	0.0174253i
$934$	−5.86872	+	4.17311i	−0.192030	+	0.136548i
$935$	−61.8557	+	35.7124i	−2.02290	+	1.16792i
$936$	8.22393	+	28.2201i	0.268808	+	0.922402i
$937$	−5.76692	+	32.7058i	−0.188397	+	1.06845i	0.733116	+	0.680104i	$0.238065\pi$
$937$	−5.76692	+	32.7058i	−0.188397	+	1.06845i	−0.921513	+	0.388348i	$0.873046\pi$
$938$	−4.36280	+	3.71510i	−0.142450	+	0.121302i
$939$	45.0806	+	12.0793i	1.47115	+	0.394193i
$940$	−56.7626	+	40.9860i	−1.85139	+	1.33681i
$941$	18.6753	−	22.2563i	0.608797	−	0.725536i	−0.370304	−	0.928911i	$-0.620746\pi$
$941$	18.6753	−	22.2563i	0.608797	−	0.725536i	0.979101	+	0.203375i	$0.0651909\pi$
$942$	−4.52795	+	26.8156i	−0.147528	+	0.873701i
$943$	0.865676	−	1.23631i	0.0281903	−	0.0402599i
$944$	2.29474	+	4.56993i	0.0746874	+	0.148739i
$945$	0.846319	−	1.81494i	0.0275308	−	0.0590399i
$946$	7.46034	−	16.3066i	0.242557	−	0.530174i
$947$	−2.04849	−	23.4144i	−0.0665670	−	0.760865i	−0.953976	−	0.299882i	$-0.903053\pi$
$947$	−2.04849	−	23.4144i	−0.0665670	−	0.760865i	0.887409	−	0.460982i	$-0.152503\pi$
$948$	−62.8299	+	17.8164i	−2.04062	+	0.578650i
$949$	−21.1415	−	45.3382i	−0.686284	−	1.47174i
$950$	19.3898	−	1.83825i	0.629088	−	0.0596408i
$951$	−42.7417	−	24.6769i	−1.38599	−	0.800204i
$952$	−23.7110	−	5.80325i	−0.768478	−	0.188084i
$953$	−0.671281	−	1.84433i	−0.0217449	−	0.0597437i	0.928345	−	0.371719i	$-0.121232\pi$
$953$	−0.671281	−	1.84433i	−0.0217449	−	0.0597437i	−0.950090	+	0.311975i	$0.899009\pi$
$954$	−31.8408	+	18.6926i	−1.03088	+	0.605196i
$955$	−26.4290	−	31.4969i	−0.855222	−	1.01921i
$956$	48.3787	+	12.2134i	1.56468	+	0.395010i
$957$	−6.89839	−	0.603531i	−0.222993	−	0.0195094i
$958$	−4.35239	+	54.2818i	−0.140619	+	1.75376i
$959$	17.3482	−	3.05896i	0.560204	−	0.0987790i
$960$	−52.5305	+	40.3000i	−1.69541	+	1.30068i
$961$		−	15.2912i		−	0.493265i
$962$	31.9616	+	1.97034i	1.03048	+	0.0635264i
$963$	−18.7459			−0.604077
$964$	−25.7399	−	11.5510i	−0.829026	−	0.372032i
$965$	0.541083	+	3.06864i	0.0174181	+	0.0987829i
$966$	−1.15978	+	14.4645i	−0.0373154	+	0.465387i
$967$	1.89894	−	21.7050i	0.0610658	−	0.697985i	−0.902531	−	0.430625i	$-0.858293\pi$
$967$	1.89894	−	21.7050i	0.0610658	−	0.697985i	0.963597	−	0.267360i	$-0.0861513\pi$
$968$	−8.99496	+	0.195839i	−0.289109	+	0.00629451i
$969$	27.6282	−	23.1828i	0.887546	−	0.744740i
$970$	39.3367	+	67.0056i	1.26303	+	2.15142i
$971$	−43.2861	+	15.7549i	−1.38912	+	0.505597i	−0.924929	−	0.380139i	$-0.875876\pi$
$971$	−43.2861	+	15.7549i	−1.38912	+	0.505597i	−0.464188	+	0.885737i	$0.653654\pi$
$972$	−37.6434	−	21.0110i	−1.20741	−	0.673929i
$973$	−0.277899	+	0.481336i	−0.00890905	+	0.0154309i
$974$	−1.51529	+	0.143657i	−0.0485529	+	0.00460307i
$975$	55.4216	−	25.8435i	1.77491	−	0.827655i
$976$	−41.9609	−	39.5931i	−1.34314	−	1.26735i
$977$	24.5395	−	2.14693i	0.785089	−	0.0686864i	0.312440	−	0.949937i	$-0.398854\pi$
$977$	24.5395	−	2.14693i	0.785089	−	0.0686864i	0.472648	+	0.881251i	$0.343298\pi$
$978$	30.6081	+	14.0033i	0.978740	+	0.447777i
$979$	−31.1191	−	14.5111i	−0.994570	−	0.463775i
$980$	2.82463	−	38.7559i	0.0902296	−	1.23801i
$981$	−26.7909	−	18.7592i	−0.855369	−	0.598936i
$982$	−0.820513	+	4.85929i	−0.0261836	+	0.155066i
$983$	−38.0319	−	31.9126i	−1.21303	−	1.01785i	−0.999159	−	0.0409916i	$-0.986948\pi$
$983$	−38.0319	−	31.9126i	−1.21303	−	1.01785i	−0.213871	−	0.976862i	$-0.568607\pi$
$984$	−2.18341	−	1.75255i	−0.0696047	−	0.0558692i
$985$	4.70318	−	17.5525i	0.149856	−	0.559269i
$986$	−7.00789	−	8.22965i	−0.223177	−	0.262086i
$987$	28.0331	+	4.94300i	0.892305	+	0.157337i
$988$	−15.0196	+	0.217987i	−0.477839	+	0.00693509i
$989$	−8.31960	−	14.4100i	−0.264548	−	0.458211i
$990$	30.9405	−	22.0011i	0.983354	−	0.699240i
$991$	53.4815	−	14.3303i	1.69890	−	0.455218i	0.726235	−	0.687447i	$-0.241268\pi$
$991$	53.4815	−	14.3303i	1.69890	−	0.455218i	0.972661	+	0.232229i	$0.0746018\pi$
$992$	10.2062	+	19.9628i	0.324046	+	0.633821i
$993$	−59.4750	+	59.4750i	−1.88738	+	1.88738i
$994$	2.31430	+	12.5901i	0.0734051	+	0.399335i
$995$	0.0750737	+	0.0273246i	0.00238000	+	0.000866248i
$996$	−10.7442	−	12.4334i	−0.340442	−	0.393968i
$997$	−20.1910	−	28.8357i	−0.639455	−	0.913237i	0.360353	−	0.932816i	$-0.382656\pi$
$997$	−20.1910	−	28.8357i	−0.639455	−	0.913237i	−0.999808	+	0.0195792i	$0.993767\pi$
$998$	−7.58124	−	27.4940i	−0.239980	−	0.870308i
$999$	−2.29875	+	2.00227i	−0.0727294	+	0.0633489i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.bj.a.235.10	yes	432
8.3	odd	2	inner	296.2.bj.a.235.13	yes	432
37.20	odd	36	inner	296.2.bj.a.131.13	yes	432
296.131	even	36	inner	296.2.bj.a.131.10	✓	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.131.10	✓	432	296.131	even	36	inner
296.2.bj.a.131.13	yes	432	37.20	odd	36	inner
296.2.bj.a.235.10	yes	432	1.1	even	1	trivial
296.2.bj.a.235.13	yes	432	8.3	odd	2	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.bj (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.08992 - 0.901154i) q^{2} +(2.37004 - 0.417903i) q^{3} +(0.375843 + 1.96437i) q^{4} +(0.299719 - 3.42580i) q^{5} +(-2.95975 - 1.68030i) q^{6} +(-0.746880 - 0.890097i) q^{7} +(1.36056 - 2.47969i) q^{8} +(2.62339 - 0.954836i) q^{9} +(-3.41384 + 3.46375i) q^{10} +(-2.42163 - 1.39813i) q^{11} +(1.71168 + 4.49857i) q^{12} +(-3.37374 + 1.57320i) q^{13} +(0.0119235 + 1.64319i) q^{14} +(-0.721305 - 8.24455i) q^{15} +(-3.71748 + 1.47659i) q^{16} +(6.73179 + 3.13908i) q^{17} +(-3.71973 - 1.32339i) q^{18} +(1.15726 - 1.65274i) q^{19} +(6.84218 - 0.698804i) q^{20} +(-2.14211 - 1.79745i) q^{21} +(1.37945 + 3.70611i) q^{22} +(3.54434 + 0.949703i) q^{23} +(2.18832 - 6.44556i) q^{24} +(-6.72223 - 1.18531i) q^{25} +(5.09480 + 1.32560i) q^{26} +(-0.434026 + 0.250585i) q^{27} +(1.46777 - 1.80168i) q^{28} +(0.993952 - 0.266329i) q^{29} +(-6.64345 + 9.63589i) q^{30} +(2.80257 + 2.80257i) q^{31} +(5.38239 + 1.74067i) q^{32} +(-6.32365 - 2.30162i) q^{33} +(-4.50830 - 9.48772i) q^{34} +(-3.27315 + 2.29188i) q^{35} +(2.86163 + 4.79443i) q^{36} +(5.96986 - 1.16654i) q^{37} +(-2.75069 + 0.758479i) q^{38} +(-7.33847 + 5.13846i) q^{39} +(-8.08714 - 5.40422i) q^{40} +(0.140677 - 0.386508i) q^{41} +(0.714951 + 3.88944i) q^{42} +(-3.20646 - 3.20646i) q^{43} +(1.83629 - 5.28245i) q^{44} +(-2.48480 - 9.27339i) q^{45} +(-3.00721 - 4.22909i) q^{46} +(-8.81582 + 5.08982i) q^{47} +(-8.19353 + 5.05312i) q^{48} +(0.981095 - 5.56406i) q^{49} +(6.25853 + 7.34966i) q^{50} +(17.2665 + 4.62654i) q^{51} +(-4.35834 - 6.03600i) q^{52} +(6.01123 - 7.16390i) q^{53} +(0.698869 + 0.118007i) q^{54} +(-5.51551 + 7.87697i) q^{55} +(-3.22334 + 0.641002i) q^{56} +(2.05207 - 4.40068i) q^{57} +(-1.32333 - 0.605428i) q^{58} +(-0.111422 - 1.27356i) q^{59} +(15.9242 - 4.51556i) q^{60} +(6.09539 + 13.0716i) q^{61} +(-0.529024 - 5.58012i) q^{62} +(-2.80925 - 1.62192i) q^{63} +(-4.29775 - 6.74754i) q^{64} +(4.37830 + 12.0293i) q^{65} +(4.81814 + 8.20716i) q^{66} +(2.24153 + 2.67135i) q^{67} +(-3.63622 + 14.4035i) q^{68} +(8.79713 + 0.769649i) q^{69} +(5.63280 + 0.451646i) q^{70} +(7.67184 - 1.35275i) q^{71} +(1.20158 - 7.80431i) q^{72} +13.4385i q^{73} +(-7.55789 - 4.10832i) q^{74} -16.4273 q^{75} +(3.68153 + 1.65211i) q^{76} +(0.564196 + 3.19972i) q^{77} +(12.6289 + 1.01260i) q^{78} +(-1.18256 + 13.5167i) q^{79} +(3.94429 + 13.1779i) q^{80} +(-7.33976 + 6.15879i) q^{81} +(-0.501630 + 0.294490i) q^{82} +(-3.20815 + 1.16767i) q^{83} +(2.72575 - 4.88345i) q^{84} +(12.7715 - 22.1209i) q^{85} +(0.605264 + 6.38430i) q^{86} +(2.24441 - 1.04659i) q^{87} +(-6.76170 + 4.10266i) q^{88} +(12.2326 - 1.07021i) q^{89} +(-5.64853 + 12.3464i) q^{90} +(3.92008 + 1.82796i) q^{91} +(-0.533452 + 7.31933i) q^{92} +(7.81341 + 5.47101i) q^{93} +(14.1952 + 2.39693i) q^{94} +(-5.31509 - 4.45989i) q^{95} +(13.4839 + 1.87615i) q^{96} +(4.13503 - 15.4322i) q^{97} +(-6.08339 + 5.18026i) q^{98} +(-7.68786 - 1.35558i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 12 q^{2} - 24 q^{3} - 18 q^{4} - 12 q^{6} - 6 q^{8} - 24 q^{9} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{14} + 18 q^{16} - 24 q^{17} - 42 q^{18} - 24 q^{19} - 12 q^{20} - 24 q^{22} - 84 q^{24}+ \cdots - 132 q^{99}+O(q^{100}) \) 432 * q - 12 * q^2 - 24 * q^3 - 18 * q^4 - 12 * q^6 - 6 * q^8 - 24 * q^9 - 6 * q^10 - 36 * q^11 - 12 * q^12 - 12 * q^14 + 18 * q^16 - 24 * q^17 - 42 * q^18 - 24 * q^19 - 12 * q^20 - 24 * q^22 - 84 * q^24 - 12 * q^25 - 6 * q^26 - 36 * q^27 - 12 * q^28 - 36 * q^30 - 42 * q^32 - 60 * q^33 - 12 * q^34 - 24 * q^35 + 60 * q^38 - 12 * q^40 - 24 * q^41 - 12 * q^42 - 6 * q^44 + 48 * q^46 - 18 * q^48 + 24 * q^49 - 42 * q^50 + 96 * q^51 - 42 * q^52 - 72 * q^54 - 12 * q^56 - 24 * q^57 + 48 * q^58 - 24 * q^59 + 144 * q^60 - 72 * q^62 + 108 * q^64 - 84 * q^65 - 168 * q^66 - 24 * q^67 - 18 * q^68 - 186 * q^70 + 234 * q^72 - 150 * q^74 - 48 * q^75 + 42 * q^76 - 222 * q^78 + 120 * q^80 - 60 * q^81 - 24 * q^82 - 24 * q^83 + 126 * q^84 - 54 * q^86 - 24 * q^89 + 72 * q^90 - 24 * q^91 + 114 * q^92 - 24 * q^94 + 72 * q^96 - 24 * q^97 - 114 * q^98 - 132 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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