LMFDB - Embedded newform 296.2.bj.a.131.10

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			131.10
Character	$\chi$	$=$	296.131
Dual form			296.2.bj.a.235.10

$q$-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 $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{25}{36}\right)$	$-1$	$-1$

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	0.809073	−	0.587708i	$-0.199969\pi$
$3$	2.37004	+	0.417903i	1.36835	+	0.241276i	0.559272	+	0.828984i	$0.311081\pi$
$4$	0.375843	−	1.96437i	0.187921	−	0.982184i
$5$	0.299719	+	3.42580i	0.134038	+	1.53206i	0.703886	+	0.710313i	$0.251447\pi$
$5$	0.299719	+	3.42580i	0.134038	+	1.53206i	−0.569847	+	0.821751i	$0.692998\pi$
$6$	−2.95975	+	1.68030i	−1.20831	+	0.685978i
$7$	−0.746880	+	0.890097i	−0.282294	+	0.336425i	−0.888495	−	0.458887i	$-0.848248\pi$
$7$	−0.746880	+	0.890097i	−0.282294	+	0.336425i	0.606201	+	0.795312i	$0.292693\pi$
$8$	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	−0.818476	−	0.574540i	$-0.805181\pi$
$11$	−2.42163	+	1.39813i	−0.730149	+	0.421551i	0.0883280	+	0.996091i	$0.471848\pi$
$12$	1.71168	−	4.49857i	0.494119	−	1.29863i
$13$	−3.37374	−	1.57320i	−0.935708	−	0.436328i	−0.105900	−	0.994377i	$-0.533772\pi$
$13$	−3.37374	−	1.57320i	−0.935708	−	0.436328i	−0.829808	+	0.558049i	$0.811550\pi$
$14$	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	0.632783	−	0.774329i	$-0.281913\pi$
$17$	6.73179	−	3.13908i	1.63270	−	0.761340i	0.999916	+	0.0129896i	$0.00413485\pi$
$18$	−3.71973	+	1.32339i	−0.876749	+	0.311925i
$19$	1.15726	+	1.65274i	0.265493	+	0.379164i	0.929659	−	0.368422i	$-0.120102\pi$
$19$	1.15726	+	1.65274i	0.265493	+	0.379164i	−0.664165	+	0.747586i	$0.731213\pi$
$20$	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	0.130392	−	0.991463i	$-0.458376\pi$
$23$	3.54434	−	0.949703i	0.739046	−	0.198027i	0.608654	+	0.793436i	$0.291710\pi$
$24$	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	0.349921	−	0.936779i	$-0.386208\pi$
$29$	0.993952	+	0.266329i	0.184572	+	0.0494560i	−0.165349	+	0.986235i	$0.552875\pi$
$30$	−6.64345	−	9.63589i	−1.21292	−	1.75926i
$31$	2.80257	−	2.80257i	0.503356	−	0.503356i	−0.409123	−	0.912479i	$-0.634165\pi$
$31$	2.80257	−	2.80257i	0.503356	−	0.503356i	0.912479	+	0.409123i	$0.134165\pi$
$32$	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	0.950193	−	0.311662i	$-0.100886\pi$
$41$	0.140677	+	0.386508i	0.0219701	+	0.0603624i	−0.928223	+	0.372025i	$0.878664\pi$
$42$	0.714951	−	3.88944i	0.110319	−	0.600154i
$43$	−3.20646	+	3.20646i	−0.488981	+	0.488981i	−0.907985	−	0.419004i	$-0.862379\pi$
$43$	−3.20646	+	3.20646i	−0.488981	+	0.488981i	0.419004	+	0.907985i	$0.362379\pi$
$44$	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	−0.307996	−	0.951388i	$-0.599658\pi$
$47$	−8.81582	−	5.08982i	−1.28592	−	0.742426i	−0.977924	+	0.208962i	$0.932992\pi$
$48$	−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	1.00000		0.000656130i	$-0.000208853\pi$
$53$	6.01123	+	7.16390i	0.825705	+	0.984037i	−0.174294	+	0.984694i	$0.555764\pi$
$54$	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	−0.999992	−	0.00395147i	$-0.998742\pi$
$59$	−0.111422	+	1.27356i	−0.0145060	+	0.165804i	0.985486	+	0.169755i	$0.0542978\pi$
$60$	15.9242	+	4.51556i	2.05581	+	0.582956i
$61$	6.09539	−	13.0716i	0.780435	−	1.67365i	0.0421966	−	0.999109i	$-0.486564\pi$
$61$	6.09539	−	13.0716i	0.780435	−	1.67365i	0.738239	−	0.674540i	$-0.235658\pi$
$62$	−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	−0.611540	−	0.791214i	$-0.709450\pi$
$67$	2.24153	−	2.67135i	0.273846	−	0.326357i	0.885386	+	0.464856i	$0.153894\pi$
$68$	−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	0.609221	−	0.793000i	$-0.291482\pi$
$71$	7.67184	+	1.35275i	0.910480	+	0.160542i	0.301259	+	0.953542i	$0.402593\pi$
$72$	1.20158	+	7.80431i	0.141608	+	0.919747i
$73$		−	13.4385i		−	1.57286i	−0.617678	−	0.786431i	$-0.711926\pi$
$73$		−	13.4385i		−	1.57286i	0.617678	−	0.786431i	$-0.288074\pi$
$74$	−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	−0.710137	−	0.704064i	$-0.751367\pi$
$79$	−1.18256	−	13.5167i	−0.133048	−	1.52075i	0.577089	−	0.816682i	$-0.304189\pi$
$80$	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	0.159893	−	0.987134i	$-0.448885\pi$
$83$	−3.20815	−	1.16767i	−0.352140	−	0.128169i	−0.512033	+	0.858966i	$0.671107\pi$
$84$	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	0.714498	−	0.699637i	$-0.246655\pi$
$89$	12.2326	+	1.07021i	1.29665	+	0.113442i	0.582153	+	0.813079i	$0.302211\pi$
$90$	−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	0.774920	+	0.632059i	$0.217790\pi$
$97$	4.13503	+	15.4322i	0.419849	+	1.56690i	−0.355071	+	0.934839i	$0.615543\pi$
$98$	−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	−0.869964	−	0.493116i	$-0.835858\pi$
$101$	−0.0797079	+	0.138058i	−0.00793124	+	0.0137373i	0.862033	+	0.506853i	$0.169191\pi$
$102$	−14.6498	+	20.6023i	−1.45055	+	2.03993i
$103$	−13.9264	−	3.73156i	−1.37220	−	0.367681i	−0.503921	−	0.863750i	$-0.668110\pi$
$103$	−13.9264	−	3.73156i	−1.37220	−	0.367681i	−0.868283	+	0.496069i	$0.834776\pi$
$104$	−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	−0.628499	−	0.777811i	$-0.716330\pi$
$107$	−6.30978	+	2.29657i	−0.609990	+	0.222018i	0.0185090	+	0.999829i	$0.494108\pi$
$108$	−0.655367	+	0.758406i	−0.0630627	+	0.0729777i
$109$	−6.71951	+	9.59646i	−0.643613	+	0.919174i	−0.999884	−	0.0152084i	$-0.995159\pi$
$109$	−6.71951	+	9.59646i	−0.643613	+	0.919174i	0.356272	+	0.934382i	$0.384048\pi$
$110$	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	−0.822772	−	0.568372i	$-0.807574\pi$
$113$	−0.0773099	+	0.110410i	−0.00727270	+	0.0103865i	0.815499	+	0.578758i	$0.196462\pi$
$114$	−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	−0.968991	−	0.247094i	$-0.920524\pi$
$127$	−11.7661	−	14.0222i	−1.04407	−	1.24427i	−0.0750766	−	0.997178i	$-0.523920\pi$
$128$	−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	−0.955562	−	0.294790i	$-0.904750\pi$
$131$	−6.49145	−	13.9210i	−0.567161	−	1.21628i	0.388401	−	0.921490i	$-0.373027\pi$
$132$	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	−0.983686	−	0.179893i	$-0.942425\pi$
$137$	−7.58037	−	13.1296i	−0.647635	−	1.12174i	0.336051	−	0.941844i	$-0.390908\pi$
$138$	−8.89457	+	8.76642i	−0.757156	+	0.746247i
$139$	−0.163601	+	0.449490i	−0.0138765	+	0.0381253i	−0.946437	−	0.322887i	$-0.895347\pi$
$139$	−0.163601	+	0.449490i	−0.0138765	+	0.0381253i	0.932561	+	0.361012i	$0.117569\pi$
$140$	−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	$0.0244523\pi$
$149$			1.87355i			0.153488i	−0.997051	+	0.0767438i	$0.975548\pi$
$150$	17.9044	−	14.8036i	1.46189	−	1.20871i
$151$	0.518059	−	2.93806i	0.0421590	−	0.239096i	−0.956445	−	0.291912i	$-0.905709\pi$
$151$	0.518059	−	2.93806i	0.0421590	−	0.239096i	0.998604	+	0.0528161i	$0.0168197\pi$
$152$	−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	−0.999699	−	0.0245423i	$-0.992187\pi$
$157$	−2.73291	+	7.50860i	−0.218110	+	0.599251i	0.781589	+	0.623794i	$0.214409\pi$
$158$	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	−0.305486	−	0.952197i	$-0.598819\pi$
$163$	−9.85212	−	0.861949i	−0.771678	−	0.0675130i	−0.466192	+	0.884684i	$0.654374\pi$
$164$	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	−0.962095	−	0.272715i	$-0.912078\pi$
$167$	−13.3736	+	9.36431i	−1.03488	+	0.724632i	−0.0727871	+	0.997347i	$0.523189\pi$
$168$	−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	−0.993686	−	0.112194i	$-0.964212\pi$
$173$	−1.29292	−	7.33254i	−0.0982992	−	0.557482i	0.895387	−	0.445289i	$-0.146899\pi$
$174$	−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	0.998971	−	0.0453642i	$-0.0144448\pi$
$179$	12.7584	+	12.7584i	0.953606	+	0.953606i	−0.0453642	+	0.998971i	$0.514445\pi$
$180$	17.2825	+	8.36639i	1.28816	+	0.623594i
$181$	−3.94331	−	10.8341i	−0.293104	−	0.805296i	−0.995608	−	0.0936167i	$-0.970157\pi$
$181$	−3.94331	−	10.8341i	−0.293104	−	0.805296i	0.702505	−	0.711679i	$-0.252065\pi$
$182$	−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	0.943398	−	0.331662i	$-0.107610\pi$
$191$	8.45436	+	8.45436i	0.611736	+	0.611736i	−0.331662	+	0.943398i	$0.607610\pi$
$192$	−13.0057	+	14.1959i	−0.938604	+	1.02450i
$193$	−0.875226	−	0.234516i	−0.0630001	−	0.0168808i	0.227181	−	0.973852i	$-0.427049\pi$
$193$	−0.875226	−	0.234516i	−0.0630001	−	0.0168808i	−0.290181	+	0.956972i	$0.593716\pi$
$194$	−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	0.0148374	−	0.999890i	$-0.495277\pi$
$197$	5.20390	−	0.917588i	0.370762	−	0.0653754i	0.355925	+	0.934514i	$0.384166\pi$
$198$	7.15755	−	8.40541i	0.508665	−	0.597346i
$199$	−0.00601285	−	0.0224403i	−0.000426240	−	0.00159075i	0.965712	−	0.259614i	$-0.0835954\pi$
$199$	−0.00601285	−	0.0224403i	−0.000426240	−	0.00159075i	−0.966139	+	0.258024i	$0.916929\pi$
$200$	−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	−0.884260	−	0.466995i	$-0.845337\pi$
$211$	−12.2970	−	21.2990i	−0.846560	−	1.46628i	0.0377001	−	0.999289i	$-0.487997\pi$
$212$	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	$0.347047\pi$
$223$			26.4842i			1.77351i	−0.462237	+	0.886757i	$0.652953\pi$
$224$	−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	0.207883	−	0.978154i	$-0.433343\pi$
$227$	8.77568	−	0.767772i	0.582462	−	0.0509588i	0.374579	+	0.927195i	$0.377787\pi$
$228$	9.41581	−	2.37706i	0.623578	−	0.157425i
$229$	−0.808829	+	0.963925i	−0.0534489	+	0.0636979i	−0.792107	−	0.610383i	$-0.791016\pi$
$229$	−0.808829	+	0.963925i	−0.0534489	+	0.0636979i	0.738658	+	0.674081i	$0.235460\pi$
$230$	−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	−0.980654	−	0.195749i	$-0.937286\pi$
$233$	−19.8659	+	11.4696i	−1.30146	+	0.751397i	−0.320804	+	0.947146i	$0.603953\pi$
$234$	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	0.876368	+	0.481642i	$0.159959\pi$
$239$	10.5436	+	22.6108i	0.682009	+	1.46257i	−0.194359	+	0.980930i	$0.562263\pi$
$240$	14.8552	−	29.5839i	0.958901	−	1.90963i
$241$	−8.09113	−	11.5553i	−0.521195	−	0.744344i	0.469127	−	0.883131i	$-0.344569\pi$
$241$	−8.09113	−	11.5553i	−0.521195	−	0.744344i	−0.990322	+	0.138787i	$0.955680\pi$
$242$	−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	0.606176	+	0.795330i	$0.292703\pi$
$251$	−5.01356	+	18.7109i	−0.316453	+	1.18102i	−0.922629	+	0.385688i	$0.873964\pi$
$252$	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	0.778106	−	0.628133i	$-0.216181\pi$
$257$	7.27788	+	5.09603i	0.453982	+	0.317881i	−0.324124	+	0.946015i	$0.605070\pi$
$258$	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	−0.488902	−	0.872339i	$-0.662602\pi$
$263$	−4.90886	+	1.78668i	−0.302693	+	0.110171i	0.186208	+	0.982510i	$0.440380\pi$
$264$	−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	0.693337	−	0.720614i	$-0.256140\pi$
$269$	6.82184	+	3.93859i	0.415935	+	0.240140i	−0.277402	+	0.960754i	$0.589473\pi$
$270$	0.613733	+	2.35881i	0.0373506	+	0.143553i
$271$	17.8972	−	3.15576i	1.08718	−	0.191699i	0.398791	−	0.917042i	$-0.369430\pi$
$271$	17.8972	−	3.15576i	1.08718	−	0.191699i	0.688388	+	0.725343i	$0.258319\pi$
$272$	−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	0.997228	−	0.0744111i	$-0.0237077\pi$
$277$	9.75685	+	13.9342i	0.586232	+	0.837226i	−0.410995	+	0.911637i	$0.634819\pi$
$278$	−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	−0.999865	−	0.0164462i	$-0.994765\pi$
$281$	−0.206761	+	2.36329i	−0.0123343	+	0.140982i	0.987530	+	0.157428i	$0.0503203\pi$
$282$	34.6450	+	0.251396i	2.06308	+	0.0149704i
$283$	23.9927	+	11.1880i	1.42622	+	0.665056i	0.973937	−	0.226819i	$-0.0728326\pi$
$283$	23.9927	+	11.1880i	1.42622	+	0.665056i	0.452281	+	0.891875i	$0.350610\pi$
$284$	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	0.381153	−	0.924512i	$-0.375527\pi$
$293$	7.24262	+	1.27707i	0.423119	+	0.0746072i	0.0419652	+	0.999119i	$0.486638\pi$
$294$	−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	−0.965578	−	0.260112i	$-0.916240\pi$
$307$	−21.4305	+	12.3729i	−1.22310	+	0.706159i	−0.257525	+	0.966272i	$0.582907\pi$
$308$	−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	−0.995608	−	0.0936210i	$-0.970156\pi$
$311$	0.0199558	−	0.228096i	0.00113159	−	0.0129341i	0.996740	+	0.0806869i	$0.0257114\pi$
$312$	2.75735	−	25.1883i	0.156104	−	1.42601i
$313$	17.5759	−	8.19576i	0.993446	−	0.463252i	0.143232	−	0.989689i	$-0.454250\pi$
$313$	17.5759	−	8.19576i	0.993446	−	0.463252i	0.850214	+	0.526438i	$0.176473\pi$
$314$	−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	−0.966661	−	0.256061i	$-0.917575\pi$
$317$	−15.7098	+	13.1821i	−0.882349	+	0.740379i	0.0843118	+	0.996439i	$0.473131\pi$
$318$	−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	−0.946403	−	0.322988i	$-0.895313\pi$
$331$	−28.6292	−	20.0464i	−1.57360	−	1.10185i	−0.627198	−	0.778860i	$-0.715798\pi$
$332$	−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	−0.973647	−	0.228060i	$-0.926762\pi$
$337$	−6.87278	−	18.8828i	−0.374384	−	1.02861i	0.599263	−	0.800552i	$-0.295460\pi$
$338$	−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	−0.248809	−	0.968552i	$-0.580039\pi$
$347$	0.372399	−	0.0997839i	0.0199914	−	0.00535668i	0.268801	+	0.963196i	$0.413373\pi$
$348$	2.89943	−	4.01550i	0.155426	−	0.215253i
$349$	9.10508	+	10.8510i	0.487384	+	0.580841i	0.952550	−	0.304382i	$-0.0984499\pi$
$349$	9.10508	+	10.8510i	0.487384	+	0.580841i	−0.465166	+	0.885223i	$0.654005\pi$
$350$	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	0.721834	−	0.692066i	$-0.243300\pi$
$353$	−5.11616	−	10.9716i	−0.272306	−	0.583961i	−0.994139	+	0.108105i	$0.965522\pi$
$354$	−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	−0.478008	−	0.878356i	$-0.658641\pi$
$359$	0.827373	−	0.477684i	0.0436671	−	0.0252112i	0.521675	+	0.853145i	$0.325308\pi$
$360$	−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	−0.439958	−	0.898018i	$-0.645007\pi$
$367$	−22.2324	−	3.92018i	−1.16052	−	0.204632i	−0.720566	+	0.693387i	$0.756118\pi$
$368$	−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	0.910269	+	0.414018i	$0.135875\pi$
$373$	−1.67458	+	9.49702i	−0.0867065	+	0.491737i	−0.996975	+	0.0777193i	$0.975236\pi$
$374$	−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	0.578491	−	0.815689i	$-0.303642\pi$
$379$	9.68191	+	3.52393i	0.497327	+	0.181012i	−0.0811646	+	0.996701i	$0.525864\pi$
$380$	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	0.193048	−	0.981189i	$-0.438163\pi$
$383$	−8.50329	−	3.96515i	−0.434498	−	0.202610i	−0.627546	+	0.778580i	$0.715940\pi$
$384$	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	−0.623543	−	0.781789i	$-0.714307\pi$
$389$	−2.01502	+	1.41093i	−0.102165	+	0.0715370i	0.521377	+	0.853326i	$0.325418\pi$
$390$	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	−0.931973	−	0.362528i	$-0.881914\pi$
$397$	−3.02913	+	5.24660i	−0.152028	+	0.263320i	0.779945	+	0.625848i	$0.215247\pi$
$398$	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	0.755456	−	0.655200i	$-0.227416\pi$
$401$	2.00762	+	2.00762i	0.100256	+	0.100256i	−0.655200	+	0.755456i	$0.727416\pi$
$402$	−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	−0.607409	−	0.794390i	$-0.707791\pi$
$409$	7.01399	−	10.0170i	0.346819	−	0.495310i	0.954228	+	0.299080i	$0.0966798\pi$
$410$	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	0.991505	−	0.130070i	$-0.0415202\pi$
$419$	0.313356	+	1.77713i	0.0153085	+	0.0868186i	−0.976196	+	0.216889i	$0.930409\pi$
$420$	−15.9128	+	10.8015i	−0.776464	+	0.527060i
$421$	−9.82189	−	36.6558i	−0.478689	−	1.78649i	−0.606936	−	0.794751i	$-0.707602\pi$
$421$	−9.82189	−	36.6558i	−0.478689	−	1.78649i	0.128246	−	0.991742i	$-0.459065\pi$
$422$	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	−0.722653	−	0.691211i	$-0.757077\pi$
$431$	5.63354	−	12.0812i	0.271358	−	0.581929i	0.994011	+	0.109282i	$0.0348552\pi$
$432$	1.24347	+	1.57242i	0.0598267	+	0.0756532i
$433$	10.3241	+	17.8819i	0.496144	+	0.859347i	0.999990	−	0.00444632i	$-0.00141531\pi$
$433$	10.3241	+	17.8819i	0.496144	+	0.859347i	−0.503846	+	0.863794i	$0.668082\pi$
$434$	−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	−0.0571072	−	0.998368i	$-0.518188\pi$
$439$	1.25751	−	0.110018i	0.0600179	−	0.00525089i	0.117125	+	0.993117i	$0.462632\pi$
$440$	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	$0.0967356\pi$
$443$			12.5969i			0.598495i	−0.954176	+	0.299247i	$0.903264\pi$
$444$	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	−0.284390	−	0.958709i	$-0.591791\pi$
$449$	−8.43306	+	0.737798i	−0.397981	+	0.0348188i	−0.113591	+	0.993528i	$0.536235\pi$
$450$	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	−0.618358	−	0.785897i	$-0.712202\pi$
$457$	8.14798	−	17.4734i	0.381147	−	0.817372i	0.999505	−	0.0314750i	$-0.0100205\pi$
$458$	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	0.818763	−	0.574132i	$-0.194660\pi$
$461$	−3.16349	−	6.78414i	−0.147339	−	0.315969i	−0.966101	+	0.258164i	$0.916883\pi$
$462$	3.70659	+	10.4184i	0.172446	+	0.484707i
$463$	−0.227265	+	0.159133i	−0.0105619	+	0.00739552i	−0.578845	−	0.815437i	$-0.696497\pi$
$463$	−0.227265	+	0.159133i	−0.0105619	+	0.00739552i	0.568284	+	0.822833i	$0.307608\pi$
$464$	−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	0.989691	−	0.143216i	$-0.0457445\pi$
$467$	1.31790	+	4.91849i	0.0609854	+	0.227600i	−0.928706	+	0.370817i	$0.879078\pi$
$468$	−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	−0.115037	+	0.993361i	$0.536699\pi$
$479$	−22.0862	+	31.5424i	−1.00915	+	1.44121i	−0.894109	+	0.447849i	$0.852190\pi$
$480$	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	0.724140	−	0.689654i	$-0.242237\pi$
$487$	0.761040	+	0.761040i	0.0344860	+	0.0344860i	−0.689654	+	0.724140i	$0.742237\pi$
$488$	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	−0.902659	−	0.430356i	$-0.858388\pi$
$491$	−1.74234	+	3.01782i	−0.0786306	+	0.136192i	0.824029	+	0.566548i	$0.191721\pi$
$492$	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	−0.142056	−	0.989859i	$-0.545371\pi$
$499$	16.5196	−	11.5672i	0.739521	−	0.517818i	0.881577	+	0.472041i	$0.156482\pi$
$500$	−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	0.151542	−	0.988451i	$-0.451576\pi$
$503$	2.89630	+	0.253394i	0.129140	+	0.0112983i	−0.0224026	+	0.999749i	$0.507132\pi$
$504$	−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	0.121665	−	0.992571i	$-0.461177\pi$
$509$	−9.54664	−	3.47469i	−0.423148	−	0.154013i	−0.544812	+	0.838558i	$0.683399\pi$
$510$	−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	0.451671	−	0.892185i	$-0.350828\pi$
$521$	13.0324	+	2.29796i	0.570958	+	0.100675i	0.119287	+	0.992860i	$0.461939\pi$
$522$	−4.04969	+	0.324710i	−0.177250	+	0.0142122i
$523$	14.7352	−	1.28916i	0.644325	−	0.0563711i	0.239690	−	0.970849i	$-0.422954\pi$
$523$	14.7352	−	1.28916i	0.644325	−	0.0563711i	0.404635	+	0.914478i	$0.367399\pi$
$524$	−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	0.195080	−	0.980787i	$-0.437503\pi$
$541$	19.8733	−	5.32503i	0.854419	−	0.228941i	0.659338	+	0.751846i	$0.270837\pi$
$542$	−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	−0.996353	−	0.0853288i	$-0.972806\pi$
$547$	−2.12414	+	7.92739i	−0.0908216	+	0.338951i	0.905531	+	0.424280i	$0.139473\pi$
$548$	−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	0.0529006	−	0.998600i	$-0.483153\pi$
$557$	−20.4710	−	14.3339i	−0.867383	−	0.607348i	−0.920284	+	0.391252i	$0.872042\pi$
$558$	−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	−0.277796	−	0.960640i	$-0.589604\pi$
$563$	−23.6966	−	6.34949i	−0.998694	−	0.267599i	−0.720898	+	0.693041i	$0.756271\pi$
$564$	−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	−0.0528811	−	0.998601i	$-0.516840\pi$
$569$	9.55635	−	2.56062i	0.400623	−	0.107347i	0.453504	+	0.891254i	$0.350174\pi$
$570$	8.23740	−	22.1311i	0.345027	−	0.926969i
$571$	13.6245	−	11.4323i	0.570166	−	0.478426i	−0.311535	−	0.950235i	$-0.600843\pi$
$571$	13.6245	−	11.4323i	0.570166	−	0.478426i	0.881701	+	0.471808i	$0.156399\pi$
$572$	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	−0.997396	−	0.0721229i	$-0.977023\pi$
$577$	−0.0631427	+	0.721725i	−0.00262867	+	0.0300458i	0.994767	+	0.102169i	$0.0325782\pi$
$578$	−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	−0.848765	−	0.528770i	$-0.822653\pi$
$587$	−2.53704	−	28.9985i	−0.104715	−	1.19689i	0.744050	−	0.668124i	$-0.232902\pi$
$588$	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	0.199293	−	0.979940i	$-0.436135\pi$
$599$	27.6498	−	32.9517i	1.12974	−	1.34637i	0.930446	−	0.366430i	$-0.119420\pi$
$600$	−22.3504	−	40.7347i	−0.912450	−	1.66299i
$601$	30.5577	+	11.1221i	1.24647	+	0.453679i	0.879208	−	0.476437i	$-0.158072\pi$
$601$	30.5577	+	11.1221i	1.24647	+	0.453679i	0.367265	+	0.930116i	$0.380294\pi$
$602$	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	0.966803	+	0.255523i	$0.0822476\pi$
$607$	−0.731315	+	8.35897i	−0.0296832	+	0.339280i	−0.996486	+	0.0837573i	$0.973308\pi$
$608$	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	−0.779347	−	0.626593i	$-0.784449\pi$
$613$	−7.36836	+	6.18279i	−0.297605	+	0.249720i	0.481742	+	0.876313i	$0.340004\pi$
$614$	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	−0.500574	−	0.865694i	$-0.666878\pi$
$617$	−16.7635	+	2.95586i	−0.674874	+	0.118999i	−0.174301	+	0.984693i	$0.555766\pi$
$618$	47.4886	−	12.3559i	1.91027	−	0.497028i
$619$	21.4973	+	12.4115i	0.864048	+	0.498859i	0.865366	−	0.501141i	$-0.167086\pi$
$619$	21.4973	+	12.4115i	0.864048	+	0.498859i	−0.00131758	+	0.999999i	$0.500419\pi$
$620$	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	0.810268	−	0.586060i	$-0.199322\pi$
$631$	13.4813	+	9.43967i	0.536680	+	0.375787i	−0.273588	+	0.961847i	$0.588210\pi$
$632$	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	0.875947	+	0.482408i	$0.160238\pi$
$641$	5.51474	+	31.2757i	0.217819	+	1.23531i	−0.658127	+	0.752907i	$0.728651\pi$
$642$	14.8165	−	17.3996i	0.584759	−	0.686707i
$643$	−15.7001	+	4.20682i	−0.619151	+	0.165901i	−0.554742	−	0.832023i	$-0.687183\pi$
$643$	−15.7001	+	4.20682i	−0.619151	+	0.165901i	−0.0644089	+	0.997924i	$0.520516\pi$
$644$	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	0.986508	+	0.163714i	$0.0523476\pi$
$647$	20.4238	+	29.1682i	0.802944	+	1.14672i	−0.183564	+	0.983008i	$0.558764\pi$
$648$	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	−0.546628	−	0.837375i	$-0.684089\pi$
$653$	11.4022	−	24.4522i	0.446204	−	0.956888i	0.992833	−	0.119513i	$-0.0381333\pi$
$654$	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	−0.934628	−	0.355627i	$-0.884267\pi$
$659$	−10.8359	+	12.9137i	−0.422107	+	0.503048i	0.512521	+	0.858675i	$0.328712\pi$
$660$	−44.8759	+	11.3291i	−1.74679	+	0.440985i
$661$	−42.8285	+	3.74701i	−1.66584	+	0.145742i	−0.880730	−	0.473619i	$-0.842947\pi$
$661$	−42.8285	+	3.74701i	−1.66584	+	0.145742i	−0.785106	+	0.619361i	$0.787392\pi$
$662$	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	0.790125	−	0.612946i	$-0.210015\pi$
$673$	8.39739	+	7.04624i	0.323695	+	0.271613i	−0.466430	+	0.884558i	$0.654460\pi$
$674$	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	0.773067	−	0.634325i	$-0.218722\pi$
$677$	−4.23615	−	7.33722i	−0.162808	−	0.281992i	−0.935875	+	0.352333i	$0.885389\pi$
$678$	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	−0.831543	−	0.555460i	$-0.812542\pi$
$683$	−24.5804	+	11.4620i	−0.940542	+	0.438582i	−0.108999	+	0.994042i	$0.534764\pi$
$684$	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	−0.451741	−	0.892149i	$-0.649197\pi$
$691$	−15.0126	+	2.64712i	−0.571105	+	0.100701i	−0.119364	+	0.992851i	$0.538086\pi$
$692$	−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	−0.993955	−	0.109791i	$-0.964982\pi$
$701$	−14.5841	+	20.8282i	−0.550832	+	0.786670i	0.443122	+	0.896461i	$0.353871\pi$
$702$	−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	0.977125	+	0.212665i	$0.0682145\pi$
$709$	31.6806	+	31.6806i	1.18979	+	1.18979i	0.212665	+	0.977125i	$0.431786\pi$
$710$	−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	0.731159	−	0.682207i	$-0.238980\pi$
$719$	−1.81393	−	2.16176i	−0.0676483	−	0.0806201i	−0.798807	+	0.601587i	$0.794535\pi$
$720$	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	−0.124888	−	0.992171i	$-0.539857\pi$
$727$	19.2902	−	41.3680i	0.715435	−	1.53426i	0.840324	−	0.542085i	$-0.182365\pi$
$728$	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	0.906392	−	0.422437i	$-0.138825\pi$
$733$	17.5376	+	14.7158i	0.647766	+	0.543541i	−0.258626	+	0.965978i	$0.583270\pi$
$734$	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	$-0.951963\pi$
$739$		−	8.17394i		−	0.300683i	0.988634	−	0.150342i	$-0.0480374\pi$
$740$	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	−0.883395	−	0.468629i	$-0.844748\pi$
$743$	2.91675	−	16.5417i	0.107005	−	0.606857i	0.990400	−	0.138228i	$-0.0441408\pi$
$744$	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	0.917819	−	0.397000i	$-0.129949\pi$
$751$	3.15418	+	5.46320i	0.115098	+	0.199355i	−0.802721	+	0.596355i	$0.796615\pi$
$752$	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	−0.989105	−	0.147212i	$-0.952970\pi$
$757$	−12.8239	−	27.5009i	−0.466092	−	0.999537i	0.523013	−	0.852325i	$-0.324808\pi$
$758$	−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	0.849022	−	0.528358i	$-0.177192\pi$
$761$	5.00026	+	5.95907i	0.181259	+	0.216016i	−0.667762	+	0.744375i	$0.732748\pi$
$762$	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	0.814683	+	0.579907i	$0.196911\pi$
$769$	−5.01392	+	18.7122i	−0.180806	+	0.674779i	−0.995489	+	0.0948722i	$0.969756\pi$
$770$	−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	−0.835238	−	0.549888i	$-0.814670\pi$
$773$	−15.2602	−	41.9270i	−0.548870	−	1.50801i	0.286368	−	0.958120i	$-0.407552\pi$
$774$	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	−0.177913	−	0.984046i	$-0.556935\pi$
$787$	21.4119	−	37.0865i	0.763253	−	1.32199i	0.941165	−	0.337946i	$-0.109732\pi$
$788$	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	−0.126429	−	0.991976i	$-0.540351\pi$
$797$	15.5893	−	7.26942i	0.552202	−	0.257496i	0.678631	+	0.734480i	$0.262574\pi$
$798$	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	0.993410	−	0.114616i	$-0.0365637\pi$
$809$	−0.136831	−	1.56398i	−0.00481071	−	0.0549866i	−0.998221	+	0.0596292i	$0.981008\pi$
$810$	3.72428	+	46.4482i	0.130858	+	1.63202i
$811$	8.89511	−	50.4467i	0.312350	−	1.77142i	−0.274362	−	0.961627i	$-0.588467\pi$
$811$	8.89511	−	50.4467i	0.312350	−	1.77142i	0.586711	−	0.809796i	$-0.300422\pi$
$812$	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	−0.743914	−	0.668275i	$-0.767033\pi$
$821$	1.24320	−	1.48158i	0.0433878	−	0.0517076i	0.787302	+	0.616568i	$0.211477\pi$
$822$	44.4976	+	26.1230i	1.55203	+	0.911145i
$823$	13.0230	−	35.7804i	0.453953	−	1.24723i	−0.475967	−	0.879463i	$-0.657902\pi$
$823$	13.0230	−	35.7804i	0.453953	−	1.24723i	0.929920	−	0.367763i	$-0.119876\pi$
$824$	−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	0.587986	+	0.808871i	$0.299921\pi$
$827$	−11.7790	+	25.2601i	−0.409595	+	0.878380i	−0.997581	+	0.0695087i	$0.977857\pi$
$828$	5.58930	−	19.7108i	0.194242	−	0.684998i
$829$	0.0658805	−	0.753017i	0.00228812	−	0.0261534i	−0.994965	−	0.100225i	$-0.968044\pi$
$829$	0.0658805	−	0.753017i	0.00228812	−	0.0261534i	0.997253	+	0.0740715i	$0.0235993\pi$
$830$	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	0.944336	+	0.328982i	$0.106705\pi$
$839$	4.90875	+	27.8389i	0.169469	+	0.961105i	−0.774868	+	0.632124i	$0.782183\pi$
$840$	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	0.124648	−	0.992201i	$-0.460220\pi$
$853$	−22.3452	−	15.6463i	−0.765084	−	0.535717i	−0.889732	+	0.456484i	$0.849109\pi$
$854$	−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	−0.894908	−	0.446250i	$-0.852759\pi$
$857$	−13.1343	+	13.1343i	−0.448659	+	0.448659i	0.446250	+	0.894908i	$0.352759\pi$
$858$	−29.1667	+	20.1089i	−0.995735	+	0.686507i
$859$	48.2033	+	12.9160i	1.64467	+	0.440689i	0.958115	−	0.286384i	$-0.0924533\pi$
$859$	48.2033	+	12.9160i	1.64467	+	0.440689i	0.686560	+	0.727073i	$0.259120\pi$
$860$	−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	0.480657	−	0.876909i	$-0.340398\pi$
$863$	36.1996	−	6.38296i	1.23225	−	0.217278i	0.751590	+	0.659630i	$0.229287\pi$
$864$	−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	−0.890846	−	0.454306i	$-0.849887\pi$
$877$	−27.9211	+	16.1202i	−0.942828	+	0.544342i	−0.0519823	+	0.998648i	$0.516554\pi$
$878$	−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	−0.691590	−	0.722290i	$-0.743089\pi$
$881$	4.15010	−	4.94589i	0.139820	−	0.166631i	0.831410	+	0.555659i	$0.187534\pi$
$882$	−11.0128	−	19.3985i	−0.370821	−	0.653180i
$883$	2.01422	+	23.0226i	0.0677839	+	0.774773i	0.951680	+	0.307091i	$0.0993555\pi$
$883$	2.01422	+	23.0226i	0.0677839	+	0.774773i	−0.883896	+	0.467683i	$0.845089\pi$
$884$	−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	−0.998957	−	0.0456535i	$-0.985463\pi$
$907$	−21.0874	−	30.1159i	−0.700194	−	0.999981i	0.298763	−	0.954327i	$-0.403426\pi$
$908$	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	−0.146823	−	0.989163i	$-0.546905\pi$
$911$	6.65852	−	1.78415i	0.220607	−	0.0591114i	0.367429	+	0.930051i	$0.380238\pi$
$912$	−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	−0.881413	−	0.472347i	$-0.843407\pi$
$919$	−12.4009	+	12.4009i	−0.409066	+	0.409066i	0.472347	+	0.881413i	$0.343407\pi$
$920$	−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	0.831395	−	0.555681i	$-0.187543\pi$
$929$	−4.95827	−	13.6227i	−0.162675	−	0.446947i	−0.994071	+	0.108734i	$0.965320\pi$
$930$	−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	−0.921513	−	0.388348i	$-0.873046\pi$
$937$	−5.76692	−	32.7058i	−0.188397	−	1.06845i	0.733116	−	0.680104i	$-0.238065\pi$
$938$	−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	0.979101	−	0.203375i	$-0.0651909\pi$
$941$	18.6753	+	22.2563i	0.608797	+	0.725536i	−0.370304	+	0.928911i	$0.620746\pi$
$942$	−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	0.887409	+	0.460982i	$0.152503\pi$
$947$	−2.04849	+	23.4144i	−0.0665670	+	0.760865i	−0.953976	+	0.299882i	$0.903053\pi$
$948$	−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	−0.950090	−	0.311975i	$-0.899009\pi$
$953$	−0.671281	+	1.84433i	−0.0217449	+	0.0597437i	0.928345	+	0.371719i	$0.121232\pi$
$954$	−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	0.963597	+	0.267360i	$0.0861513\pi$
$967$	1.89894	+	21.7050i	0.0610658	+	0.697985i	−0.902531	+	0.430625i	$0.858293\pi$
$968$	−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	−0.464188	−	0.885737i	$-0.653654\pi$
$971$	−43.2861	−	15.7549i	−1.38912	−	0.505597i	−0.924929	+	0.380139i	$0.875876\pi$
$972$	−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	0.472648	−	0.881251i	$-0.343298\pi$
$977$	24.5395	+	2.14693i	0.785089	+	0.0686864i	0.312440	+	0.949937i	$0.398854\pi$
$978$	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	−0.213871	+	0.976862i	$0.568607\pi$
$983$	−38.0319	+	31.9126i	−1.21303	+	1.01785i	−0.999159	+	0.0409916i	$0.986948\pi$
$984$	−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	0.972661	−	0.232229i	$-0.0746018\pi$
$991$	53.4815	+	14.3303i	1.69890	+	0.455218i	0.726235	+	0.687447i	$0.241268\pi$
$992$	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	−0.999808	−	0.0195792i	$-0.993767\pi$
$997$	−20.1910	+	28.8357i	−0.639455	+	0.913237i	0.360353	+	0.932816i	$0.382656\pi$
$998$	−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.131.10	✓	432
8.3	odd	2	inner	296.2.bj.a.131.13	yes	432
37.13	odd	36	inner	296.2.bj.a.235.13	yes	432
296.235	even	36	inner	296.2.bj.a.235.10	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.bj.a.131.10	✓	432	1.1	even	1	trivial
296.2.bj.a.131.13	yes	432	8.3	odd	2	inner
296.2.bj.a.235.10	yes	432	296.235	even	36	inner
296.2.bj.a.235.13	yes	432	37.13	odd	36	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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