LMFDB - Embedded newform 680.2.cf.a.533.21

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [680,2,Mod(37,680)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(680, base_ring=CyclotomicField(16)) chi = DirichletCharacter(H, H._module([0, 8, 4, 1])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("680.37"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 680 = 2^{3} \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	680.cf (of order $16$, degree $8$, 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:	$5.42982733745$
Analytic rank:	$0$
Dimension:	$832$
Relative dimension:	$104$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			533.21
Character	$\chi$	$=$	680.533
Dual form			680.2.cf.a.37.21

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.14887 + 0.824675i) q^{2} +(-1.00008 + 1.49673i) q^{3} +(0.639823 - 1.89489i) q^{4} +(-1.25943 - 1.84765i) q^{5} +(-0.0853459 - 2.54430i) q^{6} +(-0.346855 - 0.0689937i) q^{7} +(0.827595 + 2.70464i) q^{8} +(-0.0919848 - 0.222071i) q^{9} +(2.97064 + 1.08410i) q^{10} +(1.00197 + 0.199305i) q^{11} +(2.19627 + 2.85270i) q^{12} +5.05949i q^{13} +(0.455390 - 0.206777i) q^{14} +(4.02498 - 0.0372228i) q^{15} +(-3.18125 - 2.42480i) q^{16} +(3.95447 + 1.16713i) q^{17} +(0.288815 + 0.179274i) q^{18} +(-5.52633 - 2.28908i) q^{19} +(-4.30693 + 1.20432i) q^{20} +(0.450148 - 0.450148i) q^{21} +(-1.31550 + 0.597326i) q^{22} +(-2.32647 - 3.48181i) q^{23} +(-4.87578 - 1.46618i) q^{24} +(-1.82766 + 4.65399i) q^{25} +(-4.17243 - 5.81272i) q^{26} +(-4.87217 - 0.969135i) q^{27} +(-0.352661 + 0.613109i) q^{28} +(-2.83574 - 1.89478i) q^{29} +(-4.59350 + 3.36206i) q^{30} +(-1.22775 - 6.17234i) q^{31} +(5.65453 + 0.162287i) q^{32} +(-1.30036 + 1.30036i) q^{33} +(-5.50568 + 1.92027i) q^{34} +(0.309364 + 0.727760i) q^{35} +(-0.479655 + 0.0322153i) q^{36} +(-5.77512 - 3.85882i) q^{37} +(8.23680 - 1.92756i) q^{38} +(-7.57269 - 5.05991i) q^{39} +(3.95494 - 4.93543i) q^{40} +(4.58964 + 6.86888i) q^{41} +(-0.145938 + 0.888390i) q^{42} +(-2.48116 + 5.99005i) q^{43} +(1.01875 - 1.77111i) q^{44} +(-0.294462 + 0.449639i) q^{45} +(5.54418 + 2.08158i) q^{46} -4.18729i q^{47} +(6.81078 - 2.33648i) q^{48} +(-6.35161 - 2.63092i) q^{49} +(-1.73828 - 6.85408i) q^{50} +(-5.70167 + 4.75155i) q^{51} +(9.58720 + 3.23718i) q^{52} +(1.73696 - 0.719472i) q^{53} +(6.39673 - 2.90454i) q^{54} +(-0.893672 - 2.10231i) q^{55} +(-0.100452 - 0.995216i) q^{56} +(8.95292 - 5.98215i) q^{57} +(4.82048 - 0.161698i) q^{58} +(-4.26567 - 10.2982i) q^{59} +(2.50474 - 7.65073i) q^{60} +(-1.42679 - 2.13534i) q^{61} +(6.50071 + 6.07874i) q^{62} +(0.0165839 + 0.0833726i) q^{63} +(-6.63017 + 4.47670i) q^{64} +(9.34819 - 6.37209i) q^{65} +(0.421577 - 2.56633i) q^{66} +(-4.31620 + 4.31620i) q^{67} +(4.74174 - 6.74655i) q^{68} +7.53799 q^{69} +(-0.955585 - 0.580981i) q^{70} +(-8.21116 + 1.63330i) q^{71} +(0.524496 - 0.432571i) q^{72} +(-4.08301 + 0.812162i) q^{73} +(9.81716 - 0.329307i) q^{74} +(-5.13797 - 7.38989i) q^{75} +(-7.87344 + 9.00720i) q^{76} +(-0.333788 - 0.138260i) q^{77} +(12.8729 - 0.431807i) q^{78} +(2.33914 + 0.465284i) q^{79} +(-0.473612 + 8.93172i) q^{80} +(6.83300 - 6.83300i) q^{81} +(-10.9375 - 4.10652i) q^{82} +(1.68057 + 4.05726i) q^{83} +(-0.564968 - 1.14100i) q^{84} +(-2.82394 - 8.77641i) q^{85} +(-2.08930 - 8.92797i) q^{86} +(5.67194 - 2.34940i) q^{87} +(0.290180 + 2.87492i) q^{88} +(1.76667 - 1.76667i) q^{89} +(-0.0325069 - 0.759414i) q^{90} +(0.349073 - 1.75491i) q^{91} +(-8.08619 + 2.18067i) q^{92} +(10.4662 + 4.33523i) q^{93} +(3.45315 + 4.81066i) q^{94} +(2.73061 + 13.0937i) q^{95} +(-5.89790 + 8.30100i) q^{96} +(-17.7692 + 3.53451i) q^{97} +(9.46685 - 2.21541i) q^{98} +(-0.0479065 - 0.240842i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 832 q - 8 q^{2} - 16 q^{6} - 16 q^{7} - 8 q^{8} - 8 q^{10} - 32 q^{12} - 32 q^{14} - 16 q^{15} - 16 q^{17} - 16 q^{18} - 8 q^{20} - 8 q^{22} - 16 q^{23} - 16 q^{25} - 48 q^{26} - 40 q^{28} - 72 q^{30} - 32 q^{31}+ \cdots - 16 q^{98}+O(q^{100}) $ 832 * q - 8 * q^2 - 16 * q^6 - 16 * q^7 - 8 * q^8 - 8 * q^10 - 32 * q^12 - 32 * q^14 - 16 * q^15 - 16 * q^17 - 16 * q^18 - 8 * q^20 - 8 * q^22 - 16 * q^23 - 16 * q^25 - 48 * q^26 - 40 * q^28 - 72 * q^30 - 32 * q^31 - 8 * q^32 + 48 * q^36 + 96 * q^39 + 48 * q^40 - 32 * q^41 + 8 * q^42 - 32 * q^46 + 72 * q^48 - 16 * q^52 - 64 * q^54 - 16 * q^55 - 16 * q^56 - 16 * q^57 - 64 * q^58 - 8 * q^60 - 8 * q^62 - 64 * q^63 + 64 * q^65 - 16 * q^66 - 128 * q^68 - 72 * q^70 - 32 * q^71 - 16 * q^72 - 96 * q^73 - 16 * q^76 - 64 * q^78 - 136 * q^80 - 32 * q^81 - 8 * q^82 - 96 * q^84 - 32 * q^86 - 16 * q^87 + 80 * q^88 + 136 * q^90 + 104 * q^92 + 48 * q^94 - 16 * q^95 - 16 * q^96 - 16 * q^97 - 16 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/680\mathbb{Z}\right)^\times$.

$n$	$137$	$241$	$341$	$511$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{15}{16}\right)$	$-1$	$1$

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 $

$2$	−1.14887	+	0.824675i	−0.812377	+	0.583133i
$2$	−1.14887	+	0.824675i	−0.812377	+	0.583133i
$3$	−1.00008	+	1.49673i	−0.577398	+	0.864138i	−0.999092	−	0.0426006i	$-0.986436\pi$
$3$	−1.00008	+	1.49673i	−0.577398	+	0.864138i	0.421694	+	0.906738i	$0.361436\pi$
$4$	0.639823	−	1.89489i	0.319912	−	0.947447i
$5$	−1.25943	−	1.84765i	−0.563236	−	0.826296i
$5$	−1.25943	−	1.84765i	−0.563236	−	0.826296i
$6$	−0.0853459	−	2.54430i	−0.0348423	−	1.03871i
$7$	−0.346855	−	0.0689937i	−0.131099	−	0.0260772i	0.129105	−	0.991631i	$-0.458790\pi$
$7$	−0.346855	−	0.0689937i	−0.131099	−	0.0260772i	−0.260203	+	0.965554i	$0.583790\pi$
$8$	0.827595	+	2.70464i	0.292599	+	0.956235i
$9$	−0.0919848	−	0.222071i	−0.0306616	−	0.0740236i
$10$	2.97064	+	1.08410i	0.939400	+	0.342823i
$11$	1.00197	+	0.199305i	0.302106	+	0.0600927i	0.343816	−	0.939037i	$-0.388280\pi$
$11$	1.00197	+	0.199305i	0.302106	+	0.0600927i	−0.0417095	+	0.999130i	$0.513280\pi$
$12$	2.19627	+	2.85270i	0.634008	+	0.823502i
$13$			5.05949i			1.40325i	0.712546	+	0.701625i	$0.247542\pi$
$13$			5.05949i			1.40325i	−0.712546	+	0.701625i	$0.752458\pi$
$14$	0.455390	−	0.206777i	0.121708	−	0.0552635i
$15$	4.02498	−	0.0372228i	1.03925	−	0.00961088i
$16$	−3.18125	−	2.42480i	−0.795313	−	0.606199i
$17$	3.95447	+	1.16713i	0.959099	+	0.283070i
$17$	3.95447	+	1.16713i	0.959099	+	0.283070i
$18$	0.288815	+	0.179274i	0.0680744	+	0.0422553i
$19$	−5.52633	−	2.28908i	−1.26783	−	0.525151i	−0.355524	−	0.934667i	$-0.615698\pi$
$19$	−5.52633	−	2.28908i	−1.26783	−	0.525151i	−0.912303	+	0.409516i	$0.865698\pi$
$20$	−4.30693	+	1.20432i	−0.963058	+	0.269294i
$21$	0.450148	−	0.450148i	0.0982304	−	0.0982304i
$22$	−1.31550	+	0.597326i	−0.280466	+	0.127350i
$23$	−2.32647	−	3.48181i	−0.485102	−	0.726007i	0.505493	−	0.862831i	$-0.331311\pi$
$23$	−2.32647	−	3.48181i	−0.485102	−	0.726007i	−0.990595	+	0.136824i	$0.956311\pi$
$24$	−4.87578	−	1.46618i	−0.995265	−	0.299283i
$25$	−1.82766	+	4.65399i	−0.365531	+	0.930799i
$26$	−4.17243	−	5.81272i	−0.818282	−	1.13997i
$27$	−4.87217	−	0.969135i	−0.937649	−	0.186510i
$28$	−0.352661	+	0.613109i	−0.0666467	+	0.115867i
$29$	−2.83574	−	1.89478i	−0.526583	−	0.351851i	0.263689	−	0.964608i	$-0.415061\pi$
$29$	−2.83574	−	1.89478i	−0.526583	−	0.351851i	−0.790272	+	0.612756i	$0.790061\pi$
$30$	−4.59350	+	3.36206i	−0.838654	+	0.613826i
$31$	−1.22775	−	6.17234i	−0.220511	−	1.10858i	−0.919391	−	0.393345i	$-0.871318\pi$
$31$	−1.22775	−	6.17234i	−0.220511	−	1.10858i	0.698880	−	0.715239i	$-0.253682\pi$
$32$	5.65453	+	0.162287i	0.999588	+	0.0286886i
$33$	−1.30036	+	1.30036i	−0.226364	+	0.226364i
$34$	−5.50568	+	1.92027i	−0.944217	+	0.329323i
$35$	0.309364	+	0.727760i	0.0522920	+	0.123014i
$36$	−0.479655	+	0.0322153i	−0.0799425	+	0.00536922i
$37$	−5.77512	−	3.85882i	−0.949425	−	0.634385i	−0.0185905	−	0.999827i	$-0.505918\pi$
$37$	−5.77512	−	3.85882i	−0.949425	−	0.634385i	−0.930834	+	0.365442i	$0.880918\pi$
$38$	8.23680	−	1.92756i	1.33619	−	0.312691i
$39$	−7.57269	−	5.05991i	−1.21260	−	0.810234i
$40$	3.95494	−	4.93543i	0.625331	−	0.780359i
$41$	4.58964	+	6.86888i	0.716782	+	1.07274i	0.993725	+	0.111853i	$0.0356786\pi$
$41$	4.58964	+	6.86888i	0.716782	+	1.07274i	−0.276943	+	0.960886i	$0.589321\pi$
$42$	−0.145938	+	0.888390i	−0.0225187	+	0.137081i
$43$	−2.48116	+	5.99005i	−0.378374	+	0.913475i	0.613898	+	0.789386i	$0.289601\pi$
$43$	−2.48116	+	5.99005i	−0.378374	+	0.913475i	−0.992271	+	0.124089i	$0.960399\pi$
$44$	1.01875	−	1.77111i	0.153582	−	0.267006i
$45$	−0.294462	+	0.449639i	−0.0438958	+	0.0670283i
$46$	5.54418	+	2.08158i	0.817445	+	0.306912i
$47$		−	4.18729i		−	0.610778i	−0.952228	−	0.305389i	$-0.901213\pi$
$47$		−	4.18729i		−	0.610778i	0.952228	−	0.305389i	$-0.0987865\pi$
$48$	6.81078	−	2.33648i	0.983052	−	0.337242i
$49$	−6.35161	−	2.63092i	−0.907373	−	0.375846i
$50$	−1.73828	−	6.85408i	−0.245830	−	0.969313i
$51$	−5.70167	+	4.75155i	−0.798393	+	0.665350i
$52$	9.58720	+	3.23718i	1.32951	+	0.448916i
$53$	1.73696	−	0.719472i	0.238590	−	0.0988271i	−0.260185	−	0.965559i	$-0.583784\pi$
$53$	1.73696	−	0.719472i	0.238590	−	0.0988271i	0.498775	+	0.866732i	$0.333784\pi$
$54$	6.39673	−	2.90454i	0.870485	−	0.395258i
$55$	−0.893672	−	2.10231i	−0.120503	−	0.283476i
$56$	−0.100452	−	0.995216i	−0.0134235	−	0.132991i
$57$	8.95292	−	5.98215i	1.18584	−	0.792355i
$58$	4.82048	−	0.161698i	0.632960	−	0.0212320i
$59$	−4.26567	−	10.2982i	−0.555343	−	1.34072i	−0.913418	−	0.407023i	$-0.866567\pi$
$59$	−4.26567	−	10.2982i	−0.555343	−	1.34072i	0.358075	−	0.933693i	$-0.383433\pi$
$60$	2.50474	−	7.65073i	0.323361	−	0.987705i
$61$	−1.42679	−	2.13534i	−0.182681	−	0.273402i	0.728814	−	0.684711i	$-0.240072\pi$
$61$	−1.42679	−	2.13534i	−0.182681	−	0.273402i	−0.911496	+	0.411309i	$0.865072\pi$
$62$	6.50071	+	6.07874i	0.825590	+	0.772001i
$63$	0.0165839	+	0.0833726i	0.00208937	+	0.0105040i
$64$	−6.63017	+	4.47670i	−0.828772	+	0.559587i
$65$	9.34819	−	6.37209i	1.15950	−	0.790360i
$66$	0.421577	−	2.56633i	0.0518925	−	0.315893i
$67$	−4.31620	+	4.31620i	−0.527308	+	0.527308i	−0.919769	−	0.392461i	$-0.871624\pi$
$67$	−4.31620	+	4.31620i	−0.527308	+	0.527308i	0.392461	+	0.919769i	$0.371624\pi$
$68$	4.74174	−	6.74655i	0.575021	−	0.818139i
$69$	7.53799			0.907467
$70$	−0.955585	−	0.580981i	−0.114214	−	0.0694405i
$71$	−8.21116	+	1.63330i	−0.974486	+	0.193837i	−0.656556	−	0.754277i	$-0.727988\pi$
$71$	−8.21116	+	1.63330i	−0.974486	+	0.193837i	−0.317930	+	0.948114i	$0.602988\pi$
$72$	0.524496	−	0.432571i	0.0618124	−	0.0509789i
$73$	−4.08301	+	0.812162i	−0.477880	+	0.0950563i	−0.428153	−	0.903706i	$-0.640835\pi$
$73$	−4.08301	+	0.812162i	−0.477880	+	0.0950563i	−0.0497279	+	0.998763i	$0.515835\pi$
$74$	9.81716	−	0.329307i	1.14122	−	0.0382811i
$75$	−5.13797	−	7.38989i	−0.593281	−	0.853311i
$76$	−7.87344	+	9.00720i	−0.903146	+	1.03320i
$77$	−0.333788	−	0.138260i	−0.0380387	−	0.0157561i
$78$	12.8729	−	0.431807i	1.45756	−	0.0488925i
$79$	2.33914	+	0.465284i	0.263174	+	0.0523485i	0.324913	−	0.945744i	$-0.394665\pi$
$79$	2.33914	+	0.465284i	0.263174	+	0.0523485i	−0.0617396	+	0.998092i	$0.519665\pi$
$80$	−0.473612	+	8.93172i	−0.0529514	+	0.998597i
$81$	6.83300	−	6.83300i	0.759223	−	0.759223i
$82$	−10.9375	−	4.10652i	−1.20785	−	0.453489i
$83$	1.68057	+	4.05726i	0.184467	+	0.445343i	0.988878	−	0.148731i	$-0.0475188\pi$
$83$	1.68057	+	4.05726i	0.184467	+	0.445343i	−0.804411	+	0.594074i	$0.797519\pi$
$84$	−0.564968	−	1.14100i	−0.0616431	−	0.124493i
$85$	−2.82394	−	8.77641i	−0.306300	−	0.951935i
$86$	−2.08930	−	8.92797i	−0.225295	−	0.962728i
$87$	5.67194	−	2.34940i	0.608096	−	0.251882i
$88$	0.290180	+	2.87492i	0.0309333	+	0.306468i
$89$	1.76667	−	1.76667i	0.187267	−	0.187267i	−0.607247	−	0.794513i	$-0.707726\pi$
$89$	1.76667	−	1.76667i	0.187267	−	0.187267i	0.794513	+	0.607247i	$0.207726\pi$
$90$	−0.0325069	−	0.759414i	−0.00342653	−	0.0800493i
$91$	0.349073	−	1.75491i	0.0365928	−	0.183964i
$92$	−8.08619	+	2.18067i	−0.843044	+	0.227351i
$93$	10.4662	+	4.33523i	1.08529	+	0.449543i
$94$	3.45315	+	4.81066i	0.356165	+	0.496182i
$95$	2.73061	+	13.0937i	0.280155	+	1.34338i
$96$	−5.89790	+	8.30100i	−0.601951	+	0.847217i
$97$	−17.7692	+	3.53451i	−1.80419	+	0.358875i	−0.978660	−	0.205485i	$-0.934123\pi$
$97$	−17.7692	+	3.53451i	−1.80419	+	0.358875i	−0.825528	+	0.564360i	$0.809123\pi$
$98$	9.46685	−	2.21541i	0.956297	−	0.223790i
$99$	−0.0479065	−	0.240842i	−0.00481478	−	0.0242055i
$100$	7.64945	+	6.44095i	0.764945	+	0.644095i
$101$	1.04145			0.103628			0.0518142	−	0.998657i	$-0.483500\pi$
$101$	1.04145			0.103628			0.0518142	+	0.998657i	$0.483500\pi$
$102$	2.63202	−	10.1610i	0.260609	−	1.00608i
$103$	−9.45589	−	9.45589i	−0.931717	−	0.931717i	0.0660967	−	0.997813i	$-0.478945\pi$
$103$	−9.45589	−	9.45589i	−0.931717	−	0.931717i	−0.997813	+	0.0660967i	$0.978945\pi$
$104$	−13.6841	+	4.18721i	−1.34184	+	0.410590i
$105$	−1.39865	−	0.264787i	−0.136494	−	0.0258406i
$106$	−1.40222	+	2.25901i	−0.136195	+	0.219414i
$107$	−5.59497	+	1.11291i	−0.540886	+	0.107589i	−0.457970	−	0.888968i	$-0.651423\pi$
$107$	−5.59497	+	1.11291i	−0.540886	+	0.107589i	−0.0829160	+	0.996557i	$0.526423\pi$
$108$	−4.95374	+	8.61217i	−0.476673	+	0.828707i
$109$	−2.90056	−	4.34100i	−0.277824	−	0.415792i	0.666148	−	0.745820i	$-0.267942\pi$
$109$	−2.90056	−	4.34100i	−0.277824	−	0.415792i	−0.943971	+	0.330027i	$0.892942\pi$
$110$	2.76044	+	1.67830i	0.263198	+	0.160020i
$111$	11.5512	−	4.78467i	1.09639	−	0.454141i
$112$	0.936136	+	1.06054i	0.0884566	+	0.100211i
$113$	14.6248	−	9.77200i	1.37579	−	0.919272i	0.375816	−	0.926694i	$-0.377362\pi$
$113$	14.6248	−	9.77200i	1.37579	−	0.919272i	0.999972	+	0.00742181i	$0.00236246\pi$
$114$	−5.35245	+	14.2560i	−0.501303	+	1.33520i
$115$	−3.50315	+	8.68362i	−0.326670	+	0.809751i
$116$	−5.40477	+	4.16110i	−0.501821	+	0.386348i
$117$	1.12357	−	0.465396i	0.103874	−	0.0430259i
$118$	13.3934	+	8.31359i	1.23296	+	0.765328i
$119$	−1.29110	−	0.677656i	−0.118355	−	0.0621206i
$120$	3.43173	+	10.8553i	0.313272	+	0.990951i
$121$	−9.19845	−	3.81012i	−0.836222	−	0.346375i
$122$	3.40016	+	1.27660i	0.307836	+	0.115578i
$123$	−14.8709			−1.34086
$124$	−12.4815	−	1.62274i	−1.12087	−	0.145726i
$125$	10.9008	−	2.48451i	0.974996	−	0.222222i
$126$	−0.0878081	−	0.0821084i	−0.00782256	−	0.00731480i
$127$	4.38339	+	1.81566i	0.388963	+	0.161114i	0.568590	−	0.822621i	$-0.307489\pi$
$127$	4.38339	+	1.81566i	0.388963	+	0.161114i	−0.179627	+	0.983735i	$0.557489\pi$
$128$	3.92541	−	10.6109i	0.346961	−	0.937880i
$129$	−6.48413	−	9.70418i	−0.570896	−	0.854406i
$130$	−5.48500	+	15.0299i	−0.481066	+	1.31821i
$131$	−5.46557	+	8.17980i	−0.477529	+	0.714673i	−0.989532	−	0.144311i	$-0.953904\pi$
$131$	−5.46557	+	8.17980i	−0.477529	+	0.714673i	0.512003	+	0.858983i	$0.328904\pi$
$132$	1.63205	+	3.29605i	0.142052	+	0.286885i
$133$	1.75890	+	1.17526i	0.152516	+	0.101908i
$134$	1.39931	−	8.51824i	0.120882	−	0.735864i
$135$	4.34554	+	10.2226i	0.374005	+	0.879825i
$136$	0.116043	+	11.6613i	0.00995056	+	0.999950i
$137$	−15.3372	+	15.3372i	−1.31035	+	1.31035i	−0.389194	+	0.921156i	$0.627246\pi$
$137$	−15.3372	+	15.3372i	−1.31035	+	1.31035i	−0.921156	+	0.389194i	$0.872754\pi$
$138$	−8.66020	+	6.21639i	−0.737205	+	0.529174i
$139$	17.5589	−	3.49268i	1.48933	−	0.296245i	0.617699	−	0.786415i	$-0.288065\pi$
$139$	17.5589	−	3.49268i	1.48933	−	0.296245i	0.871627	+	0.490169i	$0.163065\pi$
$140$	1.57697	−	0.120573i	0.133278	−	0.0101903i
$141$	6.26724	+	4.18763i	0.527796	+	0.352662i
$142$	8.08665	−	8.64800i	0.678617	−	0.725724i
$143$	−1.00838	+	5.06948i	−0.0843251	+	0.423931i
$144$	−0.245850	+	0.929508i	−0.0204875	+	0.0774590i
$145$	0.0705230	+	7.62581i	0.00585662	+	0.633289i
$146$	4.02110	−	4.30023i	0.332788	−	0.355889i
$147$	10.2899	−	6.87550i	0.848698	−	0.567082i
$148$	−11.0071	+	8.47429i	−0.904779	+	0.696583i
$149$	−5.51284	+	5.51284i	−0.451629	+	0.451629i	−0.895895	−	0.444266i	$-0.853465\pi$
$149$	−5.51284	+	5.51284i	−0.451629	+	0.451629i	0.444266	+	0.895895i	$0.353465\pi$
$150$	11.9971	+	4.25291i	0.979562	+	0.347248i
$151$	−7.52249	+	18.1609i	−0.612172	+	1.47791i	0.248438	+	0.968648i	$0.420083\pi$
$151$	−7.52249	+	18.1609i	−0.612172	+	1.47791i	−0.860610	+	0.509265i	$0.829917\pi$
$152$	1.61758	−	16.8412i	0.131203	−	1.36600i
$153$	−0.104566	−	0.985530i	−0.00845368	−	0.0796754i
$154$	0.497500	−	0.116424i	0.0400897	−	0.00938170i
$155$	−9.85807	+	10.0421i	−0.791820	+	0.806602i
$156$	−14.4332	+	11.1120i	−1.15558	+	0.889672i
$157$			4.52318i			0.360989i	0.983576	+	0.180494i	$0.0577698\pi$
$157$			4.52318i			0.360989i	−0.983576	+	0.180494i	$0.942230\pi$
$158$	−3.07109	+	1.39448i	−0.244322	+	0.110939i
$159$	−0.660248	+	3.31929i	−0.0523611	+	0.263237i
$160$	−6.82165	−	10.6520i	−0.539298	−	0.842115i
$161$	0.566724	+	1.36819i	0.0446641	+	0.107829i
$162$	−2.21526	+	13.4853i	−0.174047	+	1.05950i
$163$	−1.85310	+	9.31617i	−0.145146	+	0.729699i	0.837825	+	0.545939i	$0.183827\pi$
$163$	−1.85310	+	9.31617i	−0.145146	+	0.729699i	−0.982971	+	0.183760i	$0.941173\pi$
$164$	15.9524	−	4.30202i	1.24567	−	0.335931i
$165$	4.04034	+	0.764902i	0.314540	+	0.0595475i
$166$	−5.27669	−	3.27536i	−0.409551	−	0.254217i
$167$	−11.3043	−	7.55328i	−0.874752	−	0.584490i	0.0351186	−	0.999383i	$-0.488819\pi$
$167$	−11.3043	−	7.55328i	−0.874752	−	0.584490i	−0.909870	+	0.414893i	$0.863819\pi$
$168$	1.59003	+	0.844949i	0.122674	+	0.0651893i
$169$	−12.5984			−0.969111
$170$	10.4820	+	7.75416i	0.803935	+	0.594717i
$171$			1.43780i			0.109951i
$172$	9.76302	+	8.53412i	0.744423	+	0.650720i
$173$	9.13148	−	13.6662i	0.694253	−	1.03902i	−0.302064	−	0.953288i	$-0.597676\pi$
$173$	9.13148	−	13.6662i	0.694253	−	1.03902i	0.996318	−	0.0857362i	$-0.0273242\pi$
$174$	−4.57886	+	7.37667i	−0.347123	+	0.559224i
$175$	0.955027	−	1.48816i	0.0721933	−	0.112495i
$176$	−2.70426	−	3.06362i	−0.203841	−	0.230929i
$177$	19.6797	+	3.91454i	1.47922	+	0.294235i
$178$	−0.572753	+	3.48661i	−0.0429297	+	0.261332i
$179$	14.6378	−	6.06317i	1.09408	−	0.453183i	0.238652	−	0.971105i	$-0.423294\pi$
$179$	14.6378	−	6.06317i	1.09408	−	0.453183i	0.855427	+	0.517923i	$0.173294\pi$
$180$	0.663616	+	0.845664i	0.0494630	+	0.0630320i
$181$	21.7562	+	4.32757i	1.61712	+	0.321666i	0.918984	−	0.394295i	$-0.129011\pi$
$181$	21.7562	+	4.32757i	1.61712	+	0.321666i	0.698140	+	0.715961i	$0.254011\pi$
$182$	1.04619	+	2.30404i	0.0775485	+	0.170787i
$183$	4.62293			0.341737
$184$	7.49167	−	9.17379i	0.552293	−	0.676301i
$185$	0.143624	+	15.5304i	0.0105594	+	1.14181i
$186$	−15.5995	+	3.65056i	−1.14381	+	0.267672i
$187$	3.72966	+	1.95757i	0.272740	+	0.143152i
$188$	−7.93446	−	2.67912i	−0.578680	−	0.195395i
$189$	1.62307	+	0.672298i	0.118061	+	0.0489024i
$190$	−13.9352	−	12.7911i	−1.01096	−	0.927967i
$191$	3.39565	+	3.39565i	0.245701	+	0.245701i	0.819203	−	0.573503i	$-0.194416\pi$
$191$	3.39565	+	3.39565i	0.245701	+	0.245701i	−0.573503	+	0.819203i	$0.694416\pi$
$192$	−0.0696841	−	14.4006i	−0.00502902	−	1.03928i
$193$	2.09745	+	3.13905i	0.150977	+	0.225954i	0.899247	−	0.437441i	$-0.144115\pi$
$193$	2.09745	+	3.13905i	0.150977	+	0.225954i	−0.748270	+	0.663395i	$0.769115\pi$
$194$	17.4997	−	18.7145i	1.25641	−	1.34362i
$195$	0.188328	+	20.3643i	0.0134865	+	1.45832i
$196$	−9.04923	+	10.3523i	−0.646373	+	0.739450i
$197$	17.6053	+	3.50191i	1.25433	+	0.249501i	0.777155	−	0.629310i	$-0.216662\pi$
$197$	17.6053	+	3.50191i	1.25433	+	0.249501i	0.477171	+	0.878811i	$0.341662\pi$
$198$	0.253655	+	0.237190i	0.0180265	+	0.0168564i
$199$	−0.869525	+	1.30134i	−0.0616390	+	0.0922493i	−0.861009	−	0.508590i	$-0.830167\pi$
$199$	−0.869525	+	1.30134i	−0.0616390	+	0.0922493i	0.799370	+	0.600839i	$0.205167\pi$
$200$	−14.0999	−	1.09153i	−0.997017	−	0.0771831i
$201$	−2.14363	−	10.7768i	−0.151200	−	0.760134i
$202$	−1.19650	+	0.858859i	−0.0841852	+	0.0604291i
$203$	0.852860	+	0.852860i	0.0598590	+	0.0598590i
$204$	5.35562	+	13.8442i	0.374969	+	0.969289i
$205$	6.91098	−	17.1310i	0.482684	−	1.19648i
$206$	18.6617	+	3.06559i	1.30022	+	0.213590i
$207$	−0.559208	+	0.836914i	−0.0388677	+	0.0581696i
$208$	12.2682	−	16.0955i	0.850649	−	1.11602i
$209$	−5.08101	−	3.39502i	−0.351461	−	0.234839i
$210$	1.82524	−	0.849224i	0.125953	−	0.0586021i
$211$	−4.25948	+	2.84609i	−0.293235	+	0.195933i	−0.693482	−	0.720474i	$-0.743924\pi$
$211$	−4.25948	+	2.84609i	−0.293235	+	0.195933i	0.400247	+	0.916407i	$0.368924\pi$
$212$	−0.251977	−	3.75169i	−0.0173058	−	0.257667i
$213$	5.76723	−	13.9233i	0.395164	−	0.954011i
$214$	5.51013	−	5.89262i	0.376665	−	0.402811i
$215$	14.1924	−	2.95974i	0.967914	−	0.201853i
$216$	−1.41102	−	13.9795i	−0.0960079	−	0.951186i
$217$			2.22561i			0.151084i
$218$	6.91230	+	2.59524i	0.468160	+	0.175772i
$219$	2.86776	−	6.92340i	0.193786	−	0.467840i
$220$	−4.55545	+	0.348305i	−0.307129	+	0.0234827i
$221$	−5.90506	+	20.0076i	−0.397217	+	1.34586i
$222$	−9.32509	+	15.0230i	−0.625859	+	1.00828i
$223$	−5.24797	−	12.6697i	−0.351430	−	0.848428i	−0.996444	−	0.0842569i	$-0.973148\pi$
$223$	−5.24797	−	12.6697i	−0.351430	−	0.848428i	0.645014	−	0.764171i	$-0.276852\pi$
$224$	−1.95010	−	0.446416i	−0.130297	−	0.0298275i
$225$	1.20163	−	0.0222272i	0.0801089	−	0.00148181i
$226$	−8.74337	+	23.2875i	−0.581600	+	1.54906i
$227$	−13.4098	−	20.0692i	−0.890040	−	1.33204i	−0.942775	−	0.333431i	$-0.891794\pi$
$227$	−13.4098	−	20.0692i	−0.890040	−	1.33204i	0.0527342	−	0.998609i	$-0.483206\pi$
$228$	−5.60726	−	20.7924i	−0.371350	−	1.37701i
$229$	−3.01312	−	7.27431i	−0.199113	−	0.480700i	0.792512	−	0.609857i	$-0.208773\pi$
$229$	−3.01312	−	7.27431i	−0.199113	−	0.480700i	−0.991624	+	0.129157i	$0.958773\pi$
$230$	−3.13648	−	12.8653i	−0.206814	−	0.848315i
$231$	0.540753	−	0.361320i	0.0355790	−	0.0237731i
$232$	2.77785	−	9.23776i	0.182375	−	0.606488i
$233$	3.18587	+	16.0164i	0.208713	+	1.04927i	0.933028	+	0.359803i	$0.117156\pi$
$233$	3.18587	+	16.0164i	0.208713	+	1.04927i	−0.724315	+	0.689469i	$0.757844\pi$
$234$	−0.907035	+	1.46126i	−0.0592947	+	0.0955254i
$235$	−7.73666	+	5.27360i	−0.504684	+	0.344012i
$236$	−22.2433	+	1.49394i	−1.44792	+	0.0972473i
$237$	−3.03574	+	3.03574i	−0.197192	+	0.197192i
$238$	2.04216	−	0.286197i	0.132373	−	0.0185514i
$239$			21.3607i			1.38171i	0.722995	+	0.690853i	$0.242765\pi$
$239$			21.3607i			1.38171i	−0.722995	+	0.690853i	$0.757235\pi$
$240$	−12.8947	−	9.64134i	−0.832351	−	0.622346i
$241$	17.3503	−	3.45120i	1.11763	−	0.222311i	0.398490	−	0.917173i	$-0.369534\pi$
$241$	17.3503	−	3.45120i	1.11763	−	0.222311i	0.719144	+	0.694862i	$0.244534\pi$
$242$	13.7100	−	3.20838i	0.881310	−	0.206242i
$243$	0.486188	+	2.44423i	0.0311889	+	0.156797i
$244$	−4.95913	+	1.33737i	−0.317476	+	0.0856165i
$245$	3.13839	+	15.0491i	0.200504	+	0.961449i
$246$	17.0848	−	12.2636i	1.08929	−	0.781902i
$247$	11.5816	−	27.9604i	0.736918	−	1.77908i
$248$	15.6779	−	8.42883i	0.995546	−	0.535231i
$249$	−7.75334	−	1.54224i	−0.491348	−	0.0977352i
$250$	−10.4747	+	11.8440i	−0.662479	+	0.749080i
$251$	7.78734	+	7.78734i	0.491532	+	0.491532i	0.908789	−	0.417256i	$-0.137008\pi$
$251$	7.78734	+	7.78734i	0.491532	+	0.491532i	−0.417256	+	0.908789i	$0.637008\pi$
$252$	0.168593	+	0.0219191i	0.0106204	+	0.00138077i
$253$	−1.63712	−	3.95236i	−0.102925	−	0.248483i
$254$	−6.53329	+	1.52891i	−0.409935	+	0.0959320i
$255$	15.9601	+	4.55046i	0.999460	+	0.284961i
$256$	4.24073	+	15.4278i	0.265046	+	0.964236i
$257$	−24.6382	+	10.2055i	−1.53689	+	0.636601i	−0.980887	−	0.194578i	$-0.937666\pi$
$257$	−24.6382	+	10.2055i	−1.53689	+	0.636601i	−0.556004	+	0.831179i	$0.687666\pi$
$258$	15.4522	+	5.80159i	0.962014	+	0.361191i
$259$	1.73689	+	1.73689i	0.107925	+	0.107925i
$260$	−6.09325	−	21.7909i	−0.377887	−	1.35141i
$261$	−0.159930	+	0.804025i	−0.00989945	+	0.0497679i
$262$	−0.466425	−	13.9049i	−0.0288158	−	0.859046i
$263$	−6.05054	+	14.6073i	−0.373092	+	0.900725i	0.620130	+	0.784499i	$0.287080\pi$
$263$	−6.05054	+	14.6073i	−0.373092	+	0.900725i	−0.993223	+	0.116226i	$0.962920\pi$
$264$	−4.59319	−	2.44084i	−0.282691	−	0.150223i
$265$	−3.51692	−	2.30317i	−0.216043	−	0.141483i
$266$	−2.98996	+	0.100295i	−0.183326	+	0.00614949i
$267$	0.877411	+	4.41104i	0.0536967	+	0.269951i
$268$	5.41714	+	10.9404i	0.330905	+	0.668289i
$269$	−0.652091	−	3.27828i	−0.0397587	−	0.199880i	0.955801	−	0.294015i	$-0.0949916\pi$
$269$	−0.652091	−	3.27828i	−0.0397587	−	0.199880i	−0.995559	+	0.0941347i	$0.969992\pi$
$270$	−13.4228	−	8.16087i	−0.816888	−	0.496655i
$271$			15.3023i			0.929549i	0.885429	+	0.464775i	$0.153865\pi$
$271$			15.3023i			0.929549i	−0.885429	+	0.464775i	$0.846135\pi$
$272$	−9.75012	−	13.3017i	−0.591188	−	0.806534i
$273$	2.27752	+	2.27752i	0.137842	+	0.137842i
$274$	4.97233	−	30.2688i	0.300389	−	1.82861i
$275$	−2.75883	+	4.29892i	−0.166364	+	0.259235i
$276$	4.82298	−	14.2837i	0.290309	−	0.859778i
$277$	−26.9185	+	5.35442i	−1.61737	+	0.321716i	−0.919073	−	0.394088i	$-0.871060\pi$
$277$	−26.9185	+	5.35442i	−1.61737	+	0.321716i	−0.698301	+	0.715804i	$0.746060\pi$
$278$	−17.2926	+	18.4930i	−1.03714	+	1.10914i
$279$	−1.25776	+	0.840409i	−0.0753002	+	0.0503140i
$280$	−1.71230	+	1.43901i	−0.102330	+	0.0859972i
$281$	2.90134	−	1.20178i	0.173080	−	0.0716919i	−0.294461	−	0.955663i	$-0.595140\pi$
$281$	2.90134	−	1.20178i	0.173080	−	0.0716919i	0.467541	+	0.883972i	$0.345140\pi$
$282$	−10.6537	+	0.357368i	−0.634419	+	0.0212809i
$283$	−3.63158	−	5.43504i	−0.215875	−	0.323080i	0.707689	−	0.706524i	$-0.249738\pi$
$283$	−3.63158	−	5.43504i	−0.215875	−	0.323080i	−0.923564	+	0.383444i	$0.874738\pi$
$284$	−2.15876	+	16.6043i	−0.128099	+	0.985285i
$285$	−22.3286	−	9.00779i	−1.32263	−	0.533576i
$286$	−3.02216	−	6.65578i	−0.178704	−	0.393564i
$287$	−1.11803	−	2.69916i	−0.0659951	−	0.159326i
$288$	−0.484091	−	1.27063i	−0.0285253	−	0.0748728i
$289$	14.2756	+	9.23072i	0.839743	+	0.542984i
$290$	−6.36983	−	8.70293i	−0.374049	−	0.511054i
$291$	12.4805	−	30.1305i	0.731618	−	1.76628i
$292$	−1.07345	+	8.25652i	−0.0628187	+	0.483176i
$293$	−7.83256			−0.457583			−0.228792	−	0.973475i	$-0.573477\pi$
$293$	−7.83256			−0.457583			−0.228792	+	0.973475i	$0.573477\pi$
$294$	−6.15177	+	16.3849i	−0.358778	+	0.955588i
$295$	−13.6553	+	20.8514i	−0.795040	+	1.21402i
$296$	5.65725	−	18.8132i	0.328821	−	1.09349i
$297$	−4.68863	−	1.94209i	−0.272062	−	0.112692i
$298$	1.78726	−	10.8799i	0.103533	−	0.630253i
$299$	17.6162	−	11.7708i	1.01877	−	0.680720i
$300$	−17.2905	+	5.00768i	−0.998265	+	0.289118i
$301$	1.27388	−	1.90649i	0.0734251	−	0.109888i
$302$	−6.33444	−	27.0682i	−0.364506	−	1.55760i
$303$	−1.04154	+	1.55877i	−0.0598348	+	0.0895491i
$304$	12.0301	+	20.6824i	0.689973	+	1.18621i
$305$	−2.14843	+	5.32553i	−0.123018	+	0.304939i
$306$	0.932875	+	1.04602i	0.0533289	+	0.0597968i
$307$	2.32774	+	2.32774i	0.132851	+	0.132851i	0.770405	−	0.637554i	$-0.220054\pi$
$307$	2.32774	+	2.32774i	0.132851	+	0.132851i	−0.637554	+	0.770405i	$0.720054\pi$
$308$	−0.475553	+	0.544032i	−0.0270971	+	0.0309991i
$309$	23.6096	−	4.69624i	1.34310	−	0.267160i
$310$	3.04421	−	19.6668i	0.172900	−	1.11700i
$311$	13.9606	−	20.8935i	0.791632	−	1.18476i	−0.187646	−	0.982237i	$-0.560086\pi$
$311$	13.9606	−	20.8935i	0.791632	−	1.18476i	0.979277	−	0.202524i	$-0.0649143\pi$
$312$	7.41812	−	24.6690i	0.419968	−	1.39661i
$313$	−1.85414	+	9.32139i	−0.104802	+	0.526876i	0.892342	+	0.451359i	$0.149061\pi$
$313$	−1.85414	+	9.32139i	−0.104802	+	0.526876i	−0.997145	+	0.0755170i	$0.975939\pi$
$314$	−3.73015	−	5.19656i	−0.210504	−	0.293259i
$315$	0.133158	−	0.135643i	0.00750258	−	0.00764265i
$316$	2.37830	−	4.13472i	0.133790	−	0.232596i
$317$	24.2171	−	16.1813i	1.36017	−	0.908835i	0.360454	−	0.932777i	$-0.382622\pi$
$317$	24.2171	−	16.1813i	1.36017	−	0.908835i	0.999713	+	0.0239418i	$0.00762165\pi$
$318$	−1.97879	−	4.35794i	−0.110965	−	0.244381i
$319$	−2.46369	−	2.46369i	−0.137940	−	0.137940i
$320$	16.6216	+	6.61217i	0.929178	+	0.369632i
$321$	3.92971	−	9.48716i	0.219335	−	0.529522i
$322$	−1.77941	−	1.10452i	−0.0991626	−	0.0615524i
$323$	−19.1820	−	15.5020i	−1.06732	−	0.862555i
$324$	−8.57591	−	17.3197i	−0.476439	−	0.962208i
$325$	−23.5468	−	9.24702i	−1.30614	−	0.512932i
$326$	−5.55383	−	12.2313i	−0.307598	−	0.677430i
$327$	9.39811			0.519717
$328$	−14.7795	+	18.0980i	−0.816062	+	0.999294i
$329$	−0.288896	+	1.45238i	−0.0159274	+	0.0800722i
$330$	−5.27264	+	2.45319i	−0.290249	+	0.135044i
$331$	−1.82918	+	0.757669i	−0.100541	+	0.0416453i	−0.432387	−	0.901688i	$-0.642328\pi$
$331$	−1.82918	+	0.757669i	−0.100541	+	0.0416453i	0.331846	+	0.943333i	$0.392328\pi$
$332$	8.76336	−	0.588578i	0.480952	−	0.0323024i
$333$	−0.325707	+	1.63744i	−0.0178486	+	0.0897311i
$334$	19.2162	−	0.644588i	1.05146	−	0.0352703i
$335$	13.4108	+	2.53889i	0.732711	+	0.138714i
$336$	−2.52355	+	0.340518i	−0.137671	+	0.0185768i
$337$	5.30570	+	3.54516i	0.289020	+	0.193117i	0.691625	−	0.722257i	$-0.256895\pi$
$337$	5.30570	+	3.54516i	0.289020	+	0.193117i	−0.402605	+	0.915374i	$0.631895\pi$
$338$	14.4740	−	10.3896i	0.787283	−	0.565121i
$339$			31.6622i			1.71966i
$340$	−18.4372	−	0.264278i	−0.999897	−	0.0143325i
$341$		−	6.42922i		−	0.348162i
$342$	−1.18571	−	1.65185i	−0.0641161	−	0.0893217i
$343$	4.07991	+	2.72611i	0.220295	+	0.147196i
$344$	−18.2543	−	1.75331i	−0.984208	−	0.0945323i
$345$	−9.49359	−	13.9276i	−0.511118	−	0.749837i
$346$	0.779269	+	23.2313i	0.0418938	+	1.24892i
$347$	−0.758191	+	3.81169i	−0.0407018	+	0.204622i	−0.995785	−	0.0917150i	$-0.970765\pi$
$347$	−0.758191	+	3.81169i	−0.0407018	+	0.204622i	0.955083	+	0.296337i	$0.0957651\pi$
$348$	−0.822816	−	12.2509i	−0.0441076	−	0.656719i
$349$	−12.8030	+	5.30318i	−0.685329	+	0.283873i	−0.698053	−	0.716046i	$-0.745950\pi$
$349$	−12.8030	+	5.30318i	−0.685329	+	0.283873i	0.0127234	+	0.999919i	$0.495950\pi$
$350$	0.130044	+	2.49730i	0.00695113	+	0.133486i
$351$	4.90333	−	24.6507i	0.261720	−	1.31576i
$352$	5.63334	+	1.28958i	0.300258	+	0.0687350i
$353$	−4.28015			−0.227809			−0.113905	−	0.993492i	$-0.536336\pi$
$353$	−4.28015			−0.227809			−0.113905	+	0.993492i	$0.536336\pi$
$354$	−25.8377	+	11.7320i	−1.37326	+	0.623551i
$355$	13.3592	+	13.1144i	0.709032	+	0.696038i
$356$	−2.21730	−	4.47801i	−0.117516	−	0.237334i
$357$	2.30548	−	1.25472i	0.122019	−	0.0664067i
$358$	−11.8168	+	19.0372i	−0.624539	+	1.00615i
$359$	12.8794	−	31.0937i	0.679750	−	1.64106i	−0.0847229	−	0.996405i	$-0.527001\pi$
$359$	12.8794	−	31.0937i	0.679750	−	1.64106i	0.764473	−	0.644656i	$-0.222999\pi$
$360$	−1.45981	−	0.424294i	−0.0769387	−	0.0223622i
$361$	11.8654	+	11.8654i	0.624494	+	0.624494i
$362$	−28.5640	+	12.9699i	−1.50129	+	0.681685i
$363$	14.9019	−	9.95715i	0.782149	−	0.522615i
$364$	−3.10202	−	1.78429i	−0.162590	−	0.0935220i
$365$	6.64287	+	6.52113i	0.347704	+	0.341332i
$366$	−5.31117	+	3.81241i	−0.277619	+	0.199278i
$367$	−3.96818	+	19.9494i	−0.207137	+	1.04135i	0.727598	+	0.686004i	$0.240637\pi$
$367$	−3.96818	+	19.9494i	−0.207137	+	1.04135i	−0.934735	+	0.355346i	$0.884363\pi$
$368$	−1.04159	+	16.7177i	−0.0542965	+	0.871472i
$369$	1.10320	−	1.65106i	0.0574304	−	0.0859507i
$370$	−12.9725	−	17.7240i	−0.674408	−	0.921426i
$371$	−0.652111	+	0.129713i	−0.0338559	+	0.00673436i
$372$	14.9113	−	17.0585i	0.773116	−	0.884443i
$373$	19.9125	+	19.9125i	1.03103	+	1.03103i	0.999503	+	0.0315254i	$0.0100365\pi$
$373$	19.9125	+	19.9125i	1.03103	+	1.03103i	0.0315254	+	0.999503i	$0.489964\pi$
$374$	−5.89927	+	0.826749i	−0.305044	+	0.0427502i
$375$	−7.18305	+	18.8003i	−0.370931	+	0.970841i
$376$	11.3251	−	3.46538i	0.584048	−	0.178713i
$377$	9.58661	−	14.3474i	0.493736	−	0.738928i
$378$	−2.41913	+	0.566119i	−0.124427	+	0.0291180i
$379$	1.80663	−	2.70381i	0.0928001	−	0.138885i	−0.782165	−	0.623072i	$-0.785884\pi$
$379$	1.80663	−	2.70381i	0.0928001	−	0.138885i	0.874965	+	0.484187i	$0.160884\pi$
$380$	26.5583	+	3.20343i	1.36241	+	0.164333i
$381$	−7.10130	+	4.74494i	−0.363811	+	0.243091i
$382$	−6.70148	−	1.10087i	−0.342877	−	0.0563253i
$383$	−25.2025	−	10.4392i	−1.28779	−	0.533420i	−0.369463	−	0.929245i	$-0.620458\pi$
$383$	−25.2025	−	10.4392i	−1.28779	−	0.533420i	−0.918326	+	0.395826i	$0.870458\pi$
$384$	11.9559	+	16.4871i	0.610122	+	0.841352i
$385$	0.164928	+	0.790854i	0.00840550	+	0.0403057i
$386$	−4.99840	−	1.87666i	−0.254412	−	0.0955196i
$387$	1.55845			0.0792202
$388$	−4.67162	+	35.9322i	−0.237165	+	1.82418i
$389$	−5.83137	+	14.0782i	−0.295662	+	0.713792i	0.704330	+	0.709873i	$0.251248\pi$
$389$	−5.83137	+	14.0782i	−0.295662	+	0.713792i	−0.999992	+	0.00391920i	$0.998752\pi$
$390$	−17.0103	−	23.2408i	−0.861351	−	1.17684i
$391$	−5.13624	−	16.4840i	−0.259751	−	0.833631i
$392$	1.85914	−	19.3562i	0.0939008	−	0.977634i
$393$	−6.77693	−	16.3610i	−0.341851	−	0.825302i
$394$	−23.1142	+	10.4954i	−1.16448	+	0.528750i
$395$	−2.08631	−	4.90792i	−0.104973	−	0.246944i
$396$	−0.487022	−	0.0633187i	−0.0244738	−	0.00318188i
$397$	3.04301	+	4.55419i	0.152724	+	0.228568i	0.899940	−	0.436013i	$-0.143610\pi$
$397$	3.04301	+	4.55419i	0.152724	+	0.228568i	−0.747216	+	0.664581i	$0.768610\pi$
$398$	−0.0742042	−	2.21215i	−0.00371952	−	0.110885i
$399$	−3.51809	+	1.45724i	−0.176125	+	0.0729533i
$400$	17.0992	−	10.3738i	0.854961	−	0.518692i
$401$	22.0024	−	14.7015i	1.09875	−	0.734159i	0.132347	−	0.991203i	$-0.457749\pi$
$401$	22.0024	−	14.7015i	1.09875	−	0.734159i	0.966400	+	0.257045i	$0.0827488\pi$
$402$	11.3501	+	10.6133i	0.566090	+	0.529345i
$403$	31.2289	−	6.21181i	1.55562	−	0.309432i
$404$	0.666345	−	1.97344i	0.0331519	−	0.0981824i
$405$	−21.2307	−	4.01932i	−1.05496	−	0.199722i
$406$	−1.68316	−	0.276497i	−0.0835339	−	0.0137223i
$407$	−5.01744	−	5.01744i	−0.248705	−	0.248705i
$408$	−17.5699	−	11.4886i	−0.869840	−	0.568771i
$409$		−	32.1531i		−	1.58987i	−0.606697	−	0.794933i	$-0.707506\pi$
$409$		−	32.1531i		−	1.58987i	0.606697	−	0.794933i	$-0.292494\pi$
$410$	6.18763	+	25.3806i	0.305585	+	1.25346i
$411$	−7.61720	−	38.2942i	−0.375729	−	1.88892i
$412$	−23.9680	+	11.8678i	−1.18082	+	0.584685i
$413$	0.769054	+	3.86629i	0.0378427	+	0.190248i
$414$	−0.0477222	−	1.42267i	−0.00234542	−	0.0699206i
$415$	5.37985	−	8.21497i	0.264087	−	0.403257i
$416$	−0.821089	+	28.6090i	−0.0402572	+	1.40267i
$417$	−12.3328	+	29.7739i	−0.603938	+	1.45803i
$418$	8.63723	−	0.289727i	0.422461	−	0.0141710i
$419$	−5.12363	+	25.7582i	−0.250306	+	1.25837i	0.627220	+	0.778842i	$0.284193\pi$
$419$	−5.12363	+	25.7582i	−0.250306	+	1.25837i	−0.877526	+	0.479530i	$0.840807\pi$
$420$	−1.39663	+	2.48088i	−0.0681487	+	0.121054i
$421$	1.23168	+	1.23168i	0.0600283	+	0.0600283i	0.736484	−	0.676455i	$-0.236485\pi$
$421$	1.23168	+	1.23168i	0.0600283	+	0.0600283i	−0.676455	+	0.736484i	$0.736485\pi$
$422$	2.54650	−	6.78249i	0.123962	−	0.330166i
$423$	−0.929874	+	0.385166i	−0.0452120	+	0.0187274i
$424$	3.38341	+	4.10242i	0.164313	+	0.199231i
$425$	−12.6592	+	16.2710i	−0.614062	+	0.789258i
$426$	4.85640	+	20.7522i	0.235293	+	1.00545i
$427$	0.347563	+	0.839091i	0.0168198	+	0.0406065i
$428$	−1.47095	+	11.3139i	−0.0711009	+	0.546880i
$429$	−6.57917	−	6.57917i	−0.317645	−	0.317645i
$430$	−13.8645	+	15.1045i	−0.668604	+	0.728403i
$431$	−35.3909	−	7.03969i	−1.70472	−	0.339090i	−0.755847	−	0.654748i	$-0.772775\pi$
$431$	−35.3909	−	7.03969i	−1.70472	−	0.339090i	−0.948873	+	0.315658i	$0.897775\pi$
$432$	13.1496	+	14.8971i	0.632663	+	0.716736i
$433$	1.61138	−	3.89022i	0.0774381	−	0.186952i	−0.880419	−	0.474196i	$-0.842739\pi$
$433$	1.61138	−	3.89022i	0.0774381	−	0.186952i	0.957858	+	0.287244i	$0.0927389\pi$
$434$	−1.83540	−	2.55695i	−0.0881022	−	0.122737i
$435$	−11.4843	−	7.52089i	−0.550630	−	0.360599i
$436$	−10.0816	+	2.71879i	−0.482820	+	0.130206i
$437$	4.88670	+	24.5671i	0.233762	+	1.17520i
$438$	2.41485	+	10.3191i	0.115386	+	0.493065i
$439$	−6.52998	+	1.29889i	−0.311659	+	0.0619928i	−0.348442	−	0.937330i	$-0.613289\pi$
$439$	−6.52998	+	1.29889i	−0.311659	+	0.0619928i	0.0367827	+	0.999323i	$0.488289\pi$
$440$	4.94640	−	4.15693i	0.235811	−	0.198174i
$441$			1.65251i			0.0786910i
$442$	−9.71558	−	27.8560i	−0.462123	−	1.32497i
$443$	19.8973	−	19.8973i	0.945348	−	0.945348i	−0.0532342	−	0.998582i	$-0.516953\pi$
$443$	19.8973	−	19.8973i	0.945348	−	0.945348i	0.998582	+	0.0532342i	$0.0169530\pi$
$444$	−1.67571	−	24.9497i	−0.0795256	−	1.18406i
$445$	−5.48920	−	1.03919i	−0.260213	−	0.0492625i
$446$	16.4777	+	10.2281i	0.780240	+	0.484312i
$447$	−2.73794	−	13.7645i	−0.129500	−	0.651040i
$448$	2.60857	−	1.09532i	0.123243	−	0.0517491i
$449$	19.1197	−	12.7754i	0.902314	−	0.602907i	−0.0155162	−	0.999880i	$-0.504939\pi$
$449$	19.1197	−	12.7754i	0.902314	−	0.602907i	0.917831	+	0.396972i	$0.129939\pi$
$450$	−1.36220	+	1.01649i	−0.0642145	+	0.0479179i
$451$	3.22970	+	7.79718i	0.152080	+	0.367155i
$452$	−9.15960	−	33.9649i	−0.430831	−	1.59757i
$453$	−19.6588	−	29.4215i	−0.923653	−	1.38234i
$454$	31.9567	+	11.9983i	1.49980	+	0.563106i
$455$	−3.68210	+	1.56522i	−0.172619	+	0.0733787i
$456$	23.5890	+	19.2636i	1.10465	+	0.902103i
$457$	13.4112	+	32.3775i	0.627349	+	1.51455i	0.842905	+	0.538062i	$0.180843\pi$
$457$	13.4112	+	32.3775i	0.627349	+	1.51455i	−0.215557	+	0.976491i	$0.569157\pi$
$458$	9.46064	+	5.87243i	0.442067	+	0.274401i
$459$	−18.1357	−	9.51884i	−0.846504	−	0.444302i
$460$	14.2131	+	12.1941i	0.662691	+	0.568552i
$461$	−0.380963	+	0.919727i	−0.0177432	+	0.0428360i	−0.932503	−	0.361163i	$-0.882380\pi$
$461$	−0.380963	+	0.919727i	−0.0177432	+	0.0428360i	0.914760	+	0.403999i	$0.132380\pi$
$462$	−0.323286	+	0.861057i	−0.0150406	+	0.0400600i
$463$		−	11.2982i		−	0.525071i	−0.964922	−	0.262536i	$-0.915441\pi$
$463$		−	11.2982i		−	0.525071i	0.964922	−	0.262536i	$-0.0845587\pi$
$464$	4.42674	+	12.9038i	0.205506	+	0.599046i
$465$	−5.17144	−	24.7978i	−0.239820	−	1.14997i
$466$	−16.8685	−	15.7736i	−0.781419	−	0.730696i
$467$	−6.50295	+	15.6995i	−0.300920	+	0.726486i	0.699015	+	0.715107i	$0.253622\pi$
$467$	−6.50295	+	15.6995i	−0.300920	+	0.726486i	−0.999935	+	0.0113791i	$0.996378\pi$
$468$	−0.162993	−	2.42681i	−0.00753436	−	0.112179i
$469$	1.79489	−	1.19930i	0.0828801	−	0.0553787i
$470$	4.53944	−	12.4389i	0.209389	−	0.573765i
$471$	−6.76997	−	4.52355i	−0.311944	−	0.208434i
$472$	24.3228	−	20.0599i	1.11955	−	0.923331i
$473$	−3.67991	+	5.50737i	−0.169202	+	0.253229i
$474$	0.984185	−	5.99118i	0.0452051	−	0.275184i
$475$	20.7536	−	21.5359i	0.952241	−	0.988133i
$476$	−2.11016	+	2.01292i	−0.0967192	+	0.0922621i
$477$	−0.319547	−	0.319547i	−0.0146311	−	0.0146311i
$478$	−17.6156	−	24.5407i	−0.805719	−	1.12247i
$479$	3.70087	+	18.6055i	0.169097	+	0.850109i	0.968443	+	0.249237i	$0.0801798\pi$
$479$	3.70087	+	18.6055i	0.169097	+	0.850109i	−0.799345	+	0.600872i	$0.794820\pi$
$480$	22.7654	+	0.442724i	1.03909	+	0.0202075i
$481$	19.5236	−	29.2192i	0.890201	−	1.33228i
$482$	−17.0872	+	18.2734i	−0.778302	+	0.832329i
$483$	−2.61459	−	0.520074i	−0.118968	−	0.0236642i
$484$	−13.1052	+	14.9923i	−0.595689	+	0.681467i
$485$	28.9097	+	28.3799i	1.31272	+	1.28866i
$486$	−2.57426	−	2.40717i	−0.116771	−	0.109191i
$487$	8.48568	+	12.6997i	0.384523	+	0.575479i	0.972356	−	0.233503i	$-0.0750189\pi$
$487$	8.48568	+	12.6997i	0.384523	+	0.575479i	−0.587833	+	0.808982i	$0.700019\pi$
$488$	4.59452	−	5.62614i	0.207984	−	0.254684i
$489$	−12.0905	−	12.0905i	−0.546753	−	0.546753i
$490$	−16.0162	−	14.7013i	−0.723537	−	0.664138i
$491$	28.8814	+	11.9631i	1.30340	+	0.539886i	0.922952	−	0.384916i	$-0.125770\pi$
$491$	28.8814	+	11.9631i	1.30340	+	0.539886i	0.380449	+	0.924802i	$0.375770\pi$
$492$	−9.51474	+	28.1788i	−0.428958	+	1.27040i
$493$	−9.00238	−	10.8025i	−0.405447	−	0.486520i
$494$	9.75246	+	41.6740i	0.438784	+	1.87500i
$495$	−0.384658	+	0.391839i	−0.0172891	+	0.0176119i
$496$	−11.0609	+	22.6128i	−0.496647	+	1.01535i
$497$	2.96077			0.132809
$498$	10.1795	−	4.62215i	0.456152	−	0.207124i
$499$	6.89612	+	1.37172i	0.308713	+	0.0614068i	0.347016	−	0.937859i	$-0.387195\pi$
$499$	6.89612	+	1.37172i	0.308713	+	0.0614068i	−0.0383027	+	0.999266i	$0.512195\pi$
$500$	2.26669	−	22.2455i	0.101369	−	0.994849i
$501$	22.6104	−	9.36555i	1.01016	−	0.418422i
$502$	−15.3687	−	2.52465i	−0.685938	−	0.112681i
$503$	−18.0933	−	3.59898i	−0.806741	−	0.160471i	−0.225543	−	0.974233i	$-0.572416\pi$
$503$	−18.0933	−	3.59898i	−0.806741	−	0.160471i	−0.581198	+	0.813762i	$0.697416\pi$
$504$	−0.211768	+	0.113852i	−0.00943292	+	0.00507138i
$505$	−1.31164	−	1.92424i	−0.0583672	−	0.0856277i
$506$	5.14025	+	3.19067i	0.228512	+	0.141843i
$507$	12.5995	−	18.8565i	0.559563	−	0.837445i
$508$	6.24507	−	7.14436i	0.277080	−	0.316980i
$509$			0.792404i			0.0351227i	0.999846	+	0.0175613i	$0.00559024\pi$
$509$			0.792404i			0.0351227i	−0.999846	+	0.0175613i	$0.994410\pi$
$510$	−22.0888	+	7.93398i	−0.978108	+	0.351323i
$511$	1.47225			0.0651283
$512$	−17.5950	−	14.2273i	−0.777595	−	0.628766i
$513$	24.7068	+	16.5085i	1.09083	+	0.728870i
$514$	19.8900	−	32.0434i	0.877311	−	1.41337i
$515$	−5.56216	+	29.3803i	−0.245098	+	1.29465i
$516$	−22.5371	+	6.07778i	−0.992140	+	0.267559i
$517$	0.834546	−	4.19555i	0.0367033	−	0.184520i
$518$	−3.42785	−	0.563100i	−0.150611	−	0.0247412i
$519$	11.3224	+	27.3347i	0.496999	+	1.19986i
$520$	24.9707	+	20.0100i	1.09504	+	0.877497i
$521$	2.06912	−	10.4022i	0.0906497	−	0.455727i	−0.908624	−	0.417616i	$-0.862866\pi$
$521$	2.06912	−	10.4022i	0.0906497	−	0.455727i	0.999274	−	0.0381112i	$-0.0121341\pi$
$522$	−0.479319	−	1.05561i	−0.0209792	−	0.0462030i
$523$		−	20.3746i		−	0.890921i	−0.895302	−	0.445460i	$-0.853040\pi$
$523$		−	20.3746i		−	0.890921i	0.895302	−	0.445460i	$-0.146960\pi$
$524$	12.0029	+	15.5903i	0.524348	+	0.681066i
$525$	1.27227	+	2.91770i	0.0555265	+	0.127339i
$526$	−5.09496	−	21.7717i	−0.222151	−	0.949290i
$527$	2.34878	−	25.8413i	0.102314	−	1.12566i
$528$	7.28989	−	0.983667i	0.317252	−	0.0428086i
$529$	2.09119	−	5.04859i	0.0909214	−	0.219504i
$530$	5.93987	−	0.254257i	0.258011	−	0.0110442i
$531$	−1.89456	+	1.89456i	−0.0822170	+	0.0822170i
$532$	3.35238	−	2.58097i	0.145344	−	0.111899i
$533$	−34.7531	+	23.2212i	−1.50532	+	1.00582i
$534$	−4.64571	−	4.34415i	−0.201040	−	0.187990i
$535$	9.10276	+	8.93594i	0.393547	+	0.386334i
$536$	−15.2459	−	8.10171i	−0.658520	−	0.349941i
$537$	−5.56407	+	27.9725i	−0.240108	+	1.20710i
$538$	3.45268	+	3.22857i	0.148856	+	0.139193i
$539$	−5.83979	−	3.90202i	−0.251537	−	0.168072i
$540$	22.1512	−	1.69366i	0.953237	−	0.0728835i
$541$	−20.2680	+	4.03156i	−0.871390	+	0.173330i	−0.610479	−	0.792032i	$-0.709023\pi$
$541$	−20.2680	+	4.03156i	−0.871390	+	0.173330i	−0.260911	+	0.965363i	$0.584023\pi$
$542$	−12.6194	−	17.5804i	−0.542051	−	0.755144i
$543$	−28.2352	+	28.2352i	−1.21169	+	1.21169i
$544$	22.1712	+	7.24130i	0.950584	+	0.310468i
$545$	−4.36761	+	10.8264i	−0.187088	+	0.463754i
$546$	−4.49480	−	0.738371i	−0.192360	−	0.0315994i
$547$	29.8328	+	19.9336i	1.27556	+	0.852301i	0.994226	−	0.107310i	$-0.0342237\pi$
$547$	29.8328	+	19.9336i	1.27556	+	0.852301i	0.281332	+	0.959610i	$0.409224\pi$
$548$	19.2493	+	38.8756i	0.822291	+	1.66068i
$549$	−0.342954	+	0.513266i	−0.0146369	+	0.0219057i
$550$	−0.375663	−	7.21405i	−0.0160183	−	0.307608i
$551$	11.3339	+	16.9624i	0.482841	+	0.722622i
$552$	6.23841	+	20.3876i	0.265524	+	0.867752i
$553$	−0.779240	−	0.322772i	−0.0331366	−	0.0137256i
$554$	26.5103	−	28.3505i	1.12631	−	1.20450i
$555$	−23.3884	−	15.3167i	−0.992782	−	0.650157i
$556$	4.61633	−	35.5070i	0.195776	−	1.50583i
$557$	−1.96658			−0.0833268			−0.0416634	−	0.999132i	$-0.513266\pi$
$557$	−1.96658			−0.0833268			−0.0416634	+	0.999132i	$0.513266\pi$
$558$	0.751945	−	2.00277i	0.0318324	−	0.0847840i
$559$	−30.3066	−	12.5534i	−1.28183	−	0.530953i
$560$	0.780507	−	3.06533i	0.0329824	−	0.129534i
$561$	−6.65993	+	3.62456i	−0.281182	+	0.153029i
$562$	−2.34220	+	3.77335i	−0.0987999	+	0.159169i
$563$	23.2279	−	9.62130i	0.978938	−	0.405489i	0.164906	−	0.986309i	$-0.447268\pi$
$563$	23.2279	−	9.62130i	0.978938	−	0.405489i	0.814032	+	0.580820i	$0.197268\pi$
$564$	11.9450	−	9.19641i	0.502977	−	0.387239i
$565$	−36.4743	−	14.7145i	−1.53448	−	0.619042i
$566$	8.65437	+	3.24931i	0.363770	+	0.136579i
$567$	−2.84149	+	1.89862i	−0.119331	+	0.0797347i
$568$	−11.2130	−	20.8565i	−0.470488	−	0.875121i
$569$	−35.4285	+	14.6750i	−1.48524	+	0.615206i	−0.970275	−	0.242005i	$-0.922195\pi$
$569$	−35.4285	+	14.6750i	−1.48524	+	0.615206i	−0.514964	+	0.857212i	$0.672195\pi$
$570$	33.0812	−	8.06498i	1.38562	−	0.337805i
$571$	−0.0543284	−	0.0813082i	−0.00227357	−	0.00340264i	0.830331	−	0.557270i	$-0.188151\pi$
$571$	−0.0543284	−	0.0813082i	−0.00227357	−	0.00340264i	−0.832605	+	0.553868i	$0.813151\pi$
$572$	8.96094	+	5.15435i	0.374676	+	0.215514i
$573$	−8.47830	+	1.68644i	−0.354186	+	0.0704520i
$574$	3.51040	+	2.17899i	0.146521	+	0.0909491i
$575$	20.4563	−	4.46383i	0.853087	−	0.186154i
$576$	1.60402	+	1.06058i	0.0668341	+	0.0441908i
$577$	−6.13086	−	6.13086i	−0.255231	−	0.255231i	0.567880	−	0.823111i	$-0.307764\pi$
$577$	−6.13086	−	6.13086i	−0.255231	−	0.255231i	−0.823111	+	0.567880i	$0.807764\pi$
$578$	−24.0133	+	1.16782i	−0.998820	+	0.0485748i
$579$	−6.79593			−0.282429
$580$	14.4952	+	4.74554i	0.601881	+	0.197048i
$581$	−0.302989	−	1.52323i	−0.0125701	−	0.0631942i
$582$	10.5094	+	44.9085i	0.435628	+	1.86152i
$583$	1.88378	−	0.374707i	0.0780182	−	0.0155188i
$584$	−5.57569	−	10.3709i	−0.230724	−	0.429153i
$585$	−2.27495	−	1.48983i	−0.0940575	−	0.0615967i
$586$	8.99863	−	6.45931i	0.371730	−	0.266832i
$587$	6.59645	+	2.73234i	0.272265	+	0.112776i	0.514639	−	0.857407i	$-0.327926\pi$
$587$	6.59645	+	2.73234i	0.272265	+	0.112776i	−0.242374	+	0.970183i	$0.577926\pi$
$588$	−6.44463	−	23.8974i	−0.265772	−	0.985513i
$589$	−7.34400	+	36.9208i	−0.302604	+	1.52129i
$590$	−1.50746	−	35.2168i	−0.0620612	−	1.44985i
$591$	−22.8482	+	22.8482i	−0.939849	+	0.939849i
$592$	9.01529	+	26.2794i	0.370526	+	1.08008i
$593$	7.30594	−	3.02622i	0.300019	−	0.124272i	−0.227596	−	0.973756i	$-0.573087\pi$
$593$	7.30594	−	3.02622i	0.300019	−	0.124272i	0.527615	+	0.849484i	$0.323087\pi$
$594$	6.98824	−	1.63537i	0.286731	−	0.0671002i
$595$	0.373981	+	3.23897i	0.0153317	+	0.132785i
$596$	6.91901	+	13.9735i	0.283414	+	0.572377i
$597$	−1.07815	−	2.60289i	−0.0441258	−	0.106529i
$598$	−10.5317	+	28.0507i	−0.430674	+	1.14708i
$599$	5.10336	−	5.10336i	0.208518	−	0.208518i	−0.595120	−	0.803637i	$-0.702895\pi$
$599$	5.10336	−	5.10336i	0.208518	−	0.208518i	0.803637	+	0.595120i	$0.202895\pi$
$600$	15.7349	−	20.0122i	0.642373	−	0.816994i
$601$	10.7784	+	2.14397i	0.439662	+	0.0874542i	0.409958	−	0.912105i	$-0.365543\pi$
$601$	10.7784	+	2.14397i	0.439662	+	0.0874542i	0.0297041	+	0.999559i	$0.490543\pi$
$602$	0.108711	+	3.24086i	0.00443074	+	0.132087i
$603$	1.35553	+	0.561478i	0.0552014	+	0.0228651i
$604$	29.5999	+	25.8741i	1.20440	+	1.05280i
$605$	4.54504	+	21.7941i	0.184782	+	0.886058i
$606$	−0.0888836	−	2.64976i	−0.00361065	−	0.107639i
$607$	7.49089	−	1.49003i	0.304046	−	0.0604785i	−0.0407096	−	0.999171i	$-0.512962\pi$
$607$	7.49089	−	1.49003i	0.304046	−	0.0604785i	0.344755	+	0.938693i	$0.387962\pi$
$608$	−30.8773	−	13.8405i	−1.25224	−	0.561307i
$609$	−2.12943	+	0.423570i	−0.0862890	+	0.0171639i
$610$	−1.92356	−	7.89011i	−0.0778825	−	0.319461i
$611$	21.1855			0.857075
$612$	−1.93438	−	0.432423i	−0.0781926	−	0.0174797i
$613$	−1.98632	+	1.98632i	−0.0802268	+	0.0802268i	−0.746081	−	0.665855i	$-0.768067\pi$
$613$	−1.98632	+	1.98632i	−0.0802268	+	0.0802268i	0.665855	+	0.746081i	$0.268067\pi$
$614$	−4.59390	−	0.754650i	−0.185395	−	0.0304552i
$615$	18.7289	+	27.4763i	0.755222	+	1.10795i
$616$	0.0977012	−	1.01720i	0.00393649	−	0.0409842i
$617$	1.29586	+	6.51473i	0.0521694	+	0.262273i	0.998064	−	0.0622021i	$-0.0198123\pi$
$617$	1.29586	+	6.51473i	0.0521694	+	0.262273i	−0.945894	+	0.324475i	$0.894812\pi$
$618$	−23.2516	+	24.8656i	−0.935316	+	1.00024i
$619$	−0.230669	−	0.345220i	−0.00927135	−	0.0138756i	0.826805	−	0.562489i	$-0.190156\pi$
$619$	−0.230669	−	0.345220i	−0.00927135	−	0.0138756i	−0.836076	+	0.548613i	$0.815156\pi$
$620$	12.7213	+	25.1052i	0.510900	+	1.00825i
$621$	7.96061	+	19.2186i	0.319448	+	0.771217i
$622$	1.19138	+	35.5169i	0.0477699	+	1.42410i
$623$	−0.734666	+	0.490888i	−0.0294338	+	0.0196670i
$624$	11.8214	+	34.4591i	0.473234	+	1.37947i
$625$	−18.3193	−	17.0118i	−0.732773	−	0.680473i
$626$	−5.55694	−	12.2382i	−0.222100	−	0.489136i
$627$	10.1629	−	4.20960i	0.405866	−	0.168115i
$628$	8.57094	+	2.89403i	0.342018	+	0.115485i
$629$	−18.3338	−	21.9999i	−0.731017	−	0.877192i
$630$	−0.0411196	+	0.265649i	−0.00163824	+	0.0105837i
$631$	37.8119	+	15.6622i	1.50527	+	0.623502i	0.974575	−	0.224063i	$-0.0719321\pi$
$631$	37.8119	+	15.6622i	1.50527	+	0.623502i	0.530692	+	0.847565i	$0.321932\pi$
$632$	0.677435	+	6.71160i	0.0269469	+	0.266973i
$633$		−	9.22162i		−	0.366527i
$634$	−14.4780	+	38.5616i	−0.574997	+	1.53148i
$635$	−2.16587	−	10.3857i	−0.0859500	−	0.412143i
$636$	5.86726	+	3.37486i	0.232652	+	0.133822i
$637$	13.3111	−	32.1359i	0.527406	−	1.27327i
$638$	4.86222	+	0.798728i	0.192497	+	0.0316219i
$639$	1.11801	+	1.67322i	0.0442278	+	0.0661916i
$640$	−24.5491	+	6.11090i	−0.970387	+	0.241555i
$641$	−32.6725	−	21.8311i	−1.29049	−	0.862275i	−0.294844	−	0.955545i	$-0.595268\pi$
$641$	−32.6725	−	21.8311i	−1.29049	−	0.862275i	−0.995641	+	0.0932706i	$0.970268\pi$
$642$	3.30908	+	14.1403i	0.130599	+	0.558073i
$643$	−6.19256	−	4.13774i	−0.244211	−	0.163176i	0.427441	−	0.904043i	$-0.359415\pi$
$643$	−6.19256	−	4.13774i	−0.244211	−	0.163176i	−0.671652	+	0.740867i	$0.734415\pi$
$644$	2.95518	−	0.198481i	0.116451	−	0.00782123i
$645$	−9.76366	+	24.2022i	−0.384444	+	0.952960i
$646$	34.8219	+	1.99092i	1.37005	+	0.0783315i
$647$	−35.2785	+	35.2785i	−1.38694	+	1.38694i	−0.555271	+	0.831670i	$0.687385\pi$
$647$	−35.2785	+	35.2785i	−1.38694	+	1.38694i	−0.831670	+	0.555271i	$0.812615\pi$
$648$	24.1358	+	12.8259i	0.948143	+	0.503848i
$649$	−2.22160	−	11.1687i	−0.0872053	−	0.438411i
$650$	34.6781	−	8.79483i	1.36019	−	0.344962i
$651$	−3.33114	−	2.22580i	−0.130558	−	0.0872358i
$652$	16.4675	+	9.47213i	0.644917	+	0.370957i
$653$	−36.7982	−	7.31962i	−1.44003	−	0.286439i	−0.587543	−	0.809193i	$-0.699905\pi$
$653$	−36.7982	−	7.31962i	−1.44003	−	0.286439i	−0.852483	+	0.522754i	$0.824905\pi$
$654$	−10.7972	+	7.75038i	−0.422206	+	0.303064i
$655$	21.9970	−	0.203427i	0.859493	−	0.00794854i
$656$	2.05483	−	32.9806i	0.0802278	−	1.28768i
$657$	0.555932	+	0.832011i	0.0216890	+	0.0324599i
$658$	−0.865835	−	1.90685i	−0.0337538	−	0.0743366i
$659$	−23.2005	+	23.2005i	−0.903762	+	0.903762i	−0.995759	−	0.0919975i	$-0.970675\pi$
$659$	−23.2005	+	23.2005i	−0.903762	+	0.903762i	0.0919975	+	0.995759i	$0.470675\pi$
$660$	4.03451	−	7.16662i	0.157043	−	0.278960i
$661$	−34.8891	−	14.4515i	−1.35703	−	0.562100i	−0.418789	−	0.908084i	$-0.637545\pi$
$661$	−34.8891	−	14.4515i	−1.35703	−	0.562100i	−0.938240	+	0.345984i	$0.887545\pi$
$662$	1.47666	−	2.37894i	0.0573921	−	0.0924602i
$663$	−24.0404	−	28.8475i	−0.933653	−	1.12035i
$664$	−9.58261	+	7.90312i	−0.371877	+	0.306701i
$665$	−0.0437428	−	4.73000i	−0.00169627	−	0.183422i
$666$	−0.976158	−	2.14981i	−0.0378254	−	0.0833036i
$667$			14.2816i			0.552987i
$668$	−21.5454	+	16.5877i	−0.833617	+	0.641796i
$669$	24.2116	+	4.81598i	0.936074	+	0.186197i
$670$	−17.5011	+	8.14271i	−0.676126	+	0.314580i
$671$	−1.00402	−	2.42392i	−0.0387598	−	0.0935743i
$672$	2.61843	−	2.47232i	0.101008	−	0.0953719i
$673$	2.09188	+	0.416101i	0.0806360	+	0.0160395i	0.235243	−	0.971936i	$-0.424411\pi$
$673$	2.09188	+	0.416101i	0.0806360	+	0.0160395i	−0.154607	+	0.987976i	$0.549411\pi$
$674$	−9.01918	+	0.302539i	−0.347406	+	0.0116534i
$675$	13.4150	−	20.9038i	0.516344	−	0.804588i
$676$	−8.06078	+	23.8727i	−0.310030	+	0.918182i
$677$	−9.04907	+	13.5429i	−0.347784	+	0.520496i	−0.963584	−	0.267407i	$-0.913833\pi$
$677$	−9.04907	+	13.5429i	−0.347784	+	0.520496i	0.615799	+	0.787903i	$0.288833\pi$
$678$	−26.1110	−	36.3759i	−1.00279	−	1.39701i
$679$	6.40719			0.245885
$680$	21.4000	−	14.9011i	0.820651	−	0.571430i
$681$	43.4491			1.66497
$682$	5.30201	+	7.38636i	0.203025	+	0.282838i
$683$	−9.84426	+	14.7330i	−0.376680	+	0.563741i	−0.970574	−	0.240802i	$-0.922590\pi$
$683$	−9.84426	+	14.7330i	−0.376680	+	0.563741i	0.593894	+	0.804543i	$0.297590\pi$
$684$	2.72447	+	0.919936i	0.104173	+	0.0351746i
$685$	47.6542	+	9.02171i	1.82077	+	0.344702i
$686$	−6.93546	+	0.232643i	−0.264797	+	0.00888235i
$687$	13.9011	+	2.76509i	0.530358	+	0.105495i
$688$	22.4179	−	13.0396i	0.854673	−	0.497129i
$689$	3.64016	+	8.78813i	0.138679	+	0.334801i
$690$	22.3927	+	8.17194i	0.852475	+	0.311100i
$691$	−48.9321	−	9.73319i	−1.86146	−	0.370268i	−0.869204	−	0.494453i	$-0.835368\pi$
$691$	−48.9321	−	9.73319i	−1.86146	−	0.370268i	−0.992259	+	0.124185i	$0.960368\pi$
$692$	−20.0535	−	26.0472i	−0.762321	−	0.990164i
$693$			0.0868424i			0.00329887i
$694$	−2.27233	−	5.00441i	−0.0862566	−	0.189965i
$695$	−28.5675	−	28.0440i	−1.08363	−	1.06377i
$696$	11.0483	+	13.3962i	0.418786	+	0.507783i
$697$	10.1327	+	32.5195i	0.383805	+	1.23176i
$698$	10.3356	−	16.6510i	0.391210	−	0.630250i
$699$	−27.1584	−	11.2494i	−1.02723	−	0.425491i
$700$	−2.20886	−	2.76184i	−0.0834872	−	0.104388i
$701$	−10.0358	+	10.0358i	−0.379046	+	0.379046i	−0.870758	−	0.491712i	$-0.836371\pi$
$701$	−10.0358	+	10.0358i	−0.379046	+	0.379046i	0.491712	+	0.870758i	$0.336371\pi$
$702$	14.6955	+	32.3642i	0.554646	+	1.22151i
$703$	23.0821	+	34.5448i	0.870558	+	1.30288i
$704$	−7.53548	+	3.16411i	−0.284004	+	0.119252i
$705$	−0.155862	−	16.8537i	−0.00587012	−	0.634748i
$706$	4.91735	−	3.52973i	0.185067	−	0.132843i
$707$	−0.361232	−	0.0718536i	−0.0135855	−	0.00270233i
$708$	20.0092	−	34.7864i	0.751991	−	1.30735i
$709$	−11.3757	−	7.60103i	−0.427225	−	0.285463i	0.323310	−	0.946293i	$-0.395204\pi$
$709$	−11.3757	−	7.60103i	−0.427225	−	0.285463i	−0.750535	+	0.660830i	$0.770204\pi$
$710$	−26.1631	−	4.04977i	−0.981884	−	0.151985i
$711$	−0.111839	−	0.562254i	−0.00419430	−	0.0210862i
$712$	6.24029	+	3.31612i	0.233865	+	0.124277i
$713$	−18.6346	+	18.6346i	−0.697870	+	0.697870i
$714$	−1.61397	+	3.34278i	−0.0604013	+	0.125100i
$715$	10.6366	−	4.52152i	0.397787	−	0.169095i
$716$	−2.12347	−	31.6164i	−0.0793578	−	1.18156i
$717$	−31.9712	−	21.3624i	−1.19398	−	0.797795i
$718$	10.8453	+	46.3440i	0.404744	+	1.72954i
$719$	26.5486	+	17.7392i	0.990097	+	0.661562i	0.941414	−	0.337252i	$-0.109498\pi$
$719$	26.5486	+	17.7392i	0.990097	+	0.661562i	0.0486830	+	0.998814i	$0.484498\pi$
$720$	2.02704	−	0.716407i	0.0755433	−	0.0266989i
$721$	2.62742	+	3.93222i	0.0978503	+	0.146443i
$722$	−23.4169	−	3.84675i	−0.871488	−	0.143161i
$723$	−12.1863	+	29.4203i	−0.453212	+	1.09415i
$724$	22.1204	−	38.4568i	0.822099	−	1.42924i
$725$	14.0010	−	9.73449i	0.519986	−	0.361530i
$726$	−8.90903	+	23.7288i	−0.330645	+	0.880657i
$727$		−	33.7644i		−	1.25225i	−0.779722	−	0.626125i	$-0.784640\pi$
$727$		−	33.7644i		−	1.25225i	0.779722	−	0.626125i	$-0.215360\pi$
$728$	5.03529	−	0.508236i	0.186620	−	0.0188365i
$729$	22.6387	+	9.37724i	0.838469	+	0.347305i
$730$	−13.0096	−	2.01375i	−0.481508	−	0.0745323i
$731$	−16.8028	+	20.7916i	−0.621475	+	0.769007i
$732$	2.95786	−	8.75997i	0.109326	−	0.323778i
$733$	−40.1465	+	16.6292i	−1.48285	+	0.614215i	−0.969746	−	0.244115i	$-0.921503\pi$
$733$	−40.1465	+	16.6292i	−1.48285	+	0.614215i	−0.513099	+	0.858329i	$0.671503\pi$
$734$	−11.8928	−	26.1918i	−0.438972	−	0.966757i
$735$	−25.6630	−	10.3530i	−0.946595	−	0.381876i
$736$	−12.5900	−	20.0655i	−0.464075	−	0.739625i
$737$	−5.18496	+	3.46448i	−0.190991	+	0.127616i
$738$	0.0941459	+	2.80664i	0.00346556	+	0.103314i
$739$	15.4365	+	37.2670i	0.567840	+	1.37089i	0.903372	+	0.428859i	$0.141084\pi$
$739$	15.4365	+	37.2670i	0.567840	+	1.37089i	−0.335531	+	0.942029i	$0.608916\pi$
$740$	29.5203	+	9.66453i	1.08519	+	0.355275i
$741$	30.2666	+	45.2972i	1.11187	+	1.66404i
$742$	0.642223	−	0.686803i	0.0235767	−	0.0252133i
$743$	0.299221	+	1.50429i	0.0109774	+	0.0551869i	0.985886	−	0.167420i	$-0.0535435\pi$
$743$	0.299221	+	1.50429i	0.0109774	+	0.0551869i	−0.974908	+	0.222607i	$0.928543\pi$
$744$	−3.06349	+	31.8951i	−0.112313	+	1.16933i
$745$	17.1289	+	3.24277i	0.627554	+	0.118806i
$746$	−39.2982	−	6.45561i	−1.43881	−	0.236357i
$747$	0.746413	−	0.746413i	0.0273098	−	0.0273098i
$748$	6.09572	−	5.81481i	0.222882	−	0.212610i
$749$	2.01742			0.0737151
$750$	−7.25168	−	27.5228i	−0.264794	−	1.00499i
$751$	−10.5220	+	2.09295i	−0.383953	+	0.0763729i	−0.383293	−	0.923627i	$-0.625210\pi$
$751$	−10.5220	+	2.09295i	−0.383953	+	0.0763729i	−0.000659731		1.00000i	$0.500210\pi$
$752$	−10.1533	+	13.3208i	−0.370253	+	0.485760i
$753$	−19.4435	+	3.86756i	−0.708561	+	0.140942i
$754$	0.818110	+	24.3892i	0.0297938	+	0.888201i
$755$	43.0291	−	8.97347i	1.56599	−	0.326578i
$756$	2.31241	−	2.64539i	0.0841016	−	0.0962121i
$757$	−36.0970	−	14.9519i	−1.31197	−	0.543436i	−0.386511	−	0.922285i	$-0.626320\pi$
$757$	−36.0970	−	14.9519i	−1.31197	−	0.543436i	−0.925458	+	0.378849i	$0.876320\pi$
$758$	0.154175	+	4.59621i	0.00559990	+	0.166942i
$759$	7.55287	+	1.50236i	0.274152	+	0.0545322i
$760$	−33.1539	+	18.2216i	−1.20262	+	0.660967i
$761$	−2.66407	+	2.66407i	−0.0965724	+	0.0965724i	−0.753742	−	0.657170i	$-0.771753\pi$
$761$	−2.66407	+	2.66407i	−0.0965724	+	0.0965724i	0.657170	+	0.753742i	$0.271753\pi$
$762$	4.24547	−	11.3076i	0.153797	−	0.409631i
$763$	0.706572	+	1.70582i	0.0255796	+	0.0617547i
$764$	8.60701	−	4.26178i	0.311391	−	0.154186i
$765$	−1.68922	+	1.43441i	−0.0610741	+	0.0518612i
$766$	37.5635	−	8.79052i	1.35722	−	0.317615i
$767$	52.1038	−	21.5821i	1.88136	−	0.779285i
$768$	−27.3323	−	9.08183i	−0.986269	−	0.327712i
$769$	−8.99709	+	8.99709i	−0.324443	+	0.324443i	−0.850469	−	0.526026i	$-0.823682\pi$
$769$	−8.99709	+	8.99709i	−0.324443	+	0.324443i	0.526026	+	0.850469i	$0.323682\pi$
$770$	−0.841679	−	0.772580i	−0.0303320	−	0.0278419i
$771$	9.36542	−	47.0831i	0.337287	−	1.69566i
$772$	7.29016	−	1.96600i	0.262379	−	0.0707579i
$773$	38.2375	+	15.8385i	1.37531	+	0.569671i	0.943223	−	0.332161i	$-0.107778\pi$
$773$	38.2375	+	15.8385i	1.37531	+	0.569671i	0.432086	+	0.901833i	$0.357778\pi$
$774$	−1.79046	+	1.28521i	−0.0643567	+	0.0461959i
$775$	30.9699	+	5.56696i	1.11247	+	0.199971i
$776$	−24.2653	−	45.1342i	−0.871073	−	1.62022i
$777$	−4.33670	+	0.862624i	−0.155578	+	0.0309464i
$778$	−4.91040	−	20.9830i	−0.176047	−	0.752278i
$779$	−9.64044	−	48.4658i	−0.345405	−	1.73647i
$780$	38.7088	+	12.6727i	1.38600	+	0.453756i
$781$	−8.55289			−0.306047
$782$	19.4948	+	14.7023i	0.697133	+	0.525753i
$783$	11.9799	+	11.9799i	0.428126	+	0.428126i
$784$	13.8266	+	23.7710i	0.493808	+	0.848964i
$785$	8.35727	−	5.69664i	0.298284	−	0.203322i
$786$	21.2783	+	13.2079i	0.758972	+	0.471111i
$787$	−29.4996	+	5.86784i	−1.05155	+	0.209166i	−0.690464	−	0.723367i	$-0.742594\pi$
$787$	−29.4996	+	5.86784i	−1.05155	+	0.209166i	−0.361085	+	0.932533i	$0.617594\pi$
$788$	17.9000	−	31.1196i	0.637662	−	1.10859i
$789$	−15.8121	−	23.6645i	−0.562927	−	0.842480i
$790$	6.44434	+	3.91806i	0.229279	+	0.139398i
$791$	−5.74690	+	2.38044i	−0.204336	+	0.0846388i
$792$	0.611744	−	0.328890i	0.0217374	−	0.0116866i
$793$	10.8037	−	7.21882i	0.383652	−	0.256348i
$794$	−7.25176	−	2.72270i	−0.257355	−	0.0966249i
$795$	6.96444	−	2.96051i	0.247003	−	0.104999i
$796$	1.90955	+	2.48028i	0.0676823	+	0.0879113i
$797$	−6.62238	+	2.74308i	−0.234577	+	0.0971649i	−0.496876	−	0.867822i	$-0.665519\pi$
$797$	−6.62238	+	2.74308i	−0.234577	+	0.0971649i	0.262299	+	0.964987i	$0.415519\pi$
$798$	2.84010	−	4.57547i	0.100538	−	0.161970i
$799$	4.88709	−	16.5585i	0.172893	−	0.585797i
$800$	−11.0898	+	26.0195i	−0.392084	+	0.919929i
$801$	−0.554832	−	0.229819i	−0.0196040	−	0.00812026i
$802$	−13.1540	+	35.0350i	−0.464484	+	1.23713i
$803$	−4.25294			−0.150083
$804$	−21.7924	−	2.83327i	−0.768557	−	0.0999216i
$805$	1.81420	−	2.77026i	0.0639420	−	0.0976387i
$806$	−30.7553	+	32.8903i	−1.08331	+	1.15851i
$807$	5.55885	+	2.30255i	0.195681	+	0.0810536i
$808$	0.861901	+	2.81675i	0.0303216	+	0.0990931i
$809$	−4.06234	−	6.07972i	−0.142824	−	0.213752i	0.753160	−	0.657837i	$-0.228529\pi$
$809$	−4.06234	−	6.07972i	−0.142824	−	0.213752i	−0.895984	+	0.444086i	$0.853529\pi$
$810$	27.7061	−	12.8908i	0.973493	−	0.452935i
$811$	4.28040	−	6.40607i	0.150305	−	0.224947i	−0.748675	−	0.662937i	$-0.769310\pi$
$811$	4.28040	−	6.40607i	0.150305	−	0.224947i	0.898980	+	0.437990i	$0.144310\pi$
$812$	2.16176	−	1.07040i	0.0758629	−	0.0375637i
$813$	−22.9034	−	15.3036i	−0.803259	−	0.536720i
$814$	9.90216	+	1.62665i	0.347071	+	0.0570141i
$815$	19.5469	−	8.30920i	0.684699	−	0.291058i
$816$	29.6600	−	1.29049i	1.03831	−	0.0451763i
$817$	27.4234	−	27.4234i	0.959424	−	0.959424i
$818$	26.5158	+	36.9398i	0.927104	+	1.29157i
$819$	−0.421823	+	0.0839058i	−0.0147397	+	0.00293191i
$820$	−28.0396	−	24.0564i	−0.979185	−	0.840085i
$821$	−31.6365	−	21.1388i	−1.10412	−	0.737749i	−0.136621	−	0.990623i	$-0.543624\pi$
$821$	−31.6365	−	21.1388i	−1.10412	−	0.737749i	−0.967499	+	0.252874i	$0.918624\pi$
$822$	40.3315	+	37.7136i	1.40672	+	1.31541i
$823$	2.85905	−	14.3734i	0.0996602	−	0.501026i	−0.898422	−	0.439132i	$-0.855286\pi$
$823$	2.85905	−	14.3734i	0.0996602	−	0.501026i	0.998083	−	0.0618938i	$-0.0197140\pi$
$824$	17.7491	−	33.4004i	0.618321	−	1.16356i
$825$	−3.67526	−	8.42850i	−0.127956	−	0.293443i
$826$	−4.07198	−	3.80767i	−0.141682	−	0.132486i
$827$	41.8950	−	27.9933i	1.45683	−	0.973423i	0.460516	−	0.887652i	$-0.347665\pi$
$827$	41.8950	−	27.9933i	1.45683	−	0.973423i	0.996315	−	0.0857715i	$-0.0273355\pi$
$828$	1.22807	+	1.59512i	0.0426784	+	0.0554342i
$829$	14.6798	−	14.6798i	0.509850	−	0.509850i	−0.404630	−	0.914480i	$-0.632600\pi$
$829$	14.6798	−	14.6798i	0.509850	−	0.509850i	0.914480	+	0.404630i	$0.132600\pi$
$830$	0.593905	+	13.8746i	0.0206147	+	0.481594i
$831$	18.9066	−	45.6445i	0.655862	−	1.58339i
$832$	−22.6498	−	33.5453i	−0.785241	−	1.16297i
$833$	−22.0466	−	17.8170i	−0.763870	−	0.617323i
$834$	−10.3850	−	44.3770i	−0.359603	−	1.53665i
$835$	0.281131	+	30.3993i	0.00972893	+	1.05201i
$836$	−9.68416	+	7.45576i	−0.334934	+	0.257863i
$837$			31.2625i			1.08059i
$838$	−15.3558	−	33.8183i	−0.530456	−	1.16823i
$839$	0.393631	−	1.97892i	0.0135897	−	0.0683198i	−0.973395	−	0.229132i	$-0.926411\pi$
$839$	0.393631	−	1.97892i	0.0135897	−	0.0683198i	0.986985	+	0.160812i	$0.0514113\pi$
$840$	−0.441362	−	4.00198i	−0.0152284	−	0.138082i
$841$	−6.64661	−	16.0463i	−0.229193	−	0.553322i
$842$	−2.43078	−	0.399309i	−0.0837701	−	0.0137611i
$843$	−1.10285	+	5.54440i	−0.0379842	+	0.190959i
$844$	2.66773	+	9.89226i	0.0918272	+	0.340506i
$845$	15.8669	+	23.2776i	0.545838	+	0.800773i
$846$	0.750671	−	1.20935i	0.0258086	−	0.0415783i
$847$	2.92765	+	1.95619i	0.100595	+	0.0672156i
$848$	−7.27028	−	1.92295i	−0.249662	−	0.0660343i
$849$	11.7667			0.403831
$850$	1.12558	−	29.1330i	0.0386071	−	0.999254i
$851$			29.0853i			0.997031i
$852$	−22.6932	−	19.8368i	−0.777458	−	0.679597i
$853$	26.4163	−	39.5349i	0.904478	−	1.35365i	−0.0307218	−	0.999528i	$-0.509781\pi$
$853$	26.4163	−	39.5349i	0.904478	−	1.35365i	0.935200	−	0.354120i	$-0.115219\pi$
$854$	−1.09128	−	0.677384i	−0.0373429	−	0.0231796i
$855$	2.65655	−	1.81081i	0.0908522	−	0.0619284i
$856$	−7.64039	−	14.2113i	−0.261143	−	0.485734i
$857$	−31.6360	−	6.29279i	−1.08066	−	0.214958i	−0.377518	−	0.926002i	$-0.623222\pi$
$857$	−31.6360	−	6.29279i	−1.08066	−	0.214958i	−0.703147	+	0.711045i	$0.748222\pi$
$858$	12.9843	+	2.13296i	0.443277	+	0.0728182i
$859$	15.7116	−	6.50797i	0.536074	−	0.222049i	−0.0981874	−	0.995168i	$-0.531304\pi$
$859$	15.7116	−	6.50797i	0.536074	−	0.222049i	0.634261	+	0.773119i	$0.281304\pi$
$860$	3.47224	−	28.7868i	0.118402	−	0.981623i
$861$	5.15804	+	1.02600i	0.175785	+	0.0349659i
$862$	46.4651	−	21.0983i	1.58261	−	0.718610i
$863$	−47.6025			−1.62041			−0.810204	−	0.586149i	$-0.800643\pi$
$863$	−47.6025			−1.62041			−0.810204	+	0.586149i	$0.800643\pi$
$864$	−27.3925	−	6.27069i	−0.931913	−	0.213333i
$865$	−36.7510	+	0.339871i	−1.24957	+	0.0115560i
$866$	1.35689	+	5.79824i	0.0461090	+	0.197032i
$867$	−28.0927	+	12.1353i	−0.954079	+	0.412136i
$868$	4.21730	+	1.42400i	0.143144	+	0.0483336i
$869$	2.25102	+	0.932404i	0.0763607	+	0.0316296i
$870$	19.3963	−	0.830263i	0.657596	−	0.0281485i
$871$	−21.8378	−	21.8378i	−0.739945	−	0.739945i
$872$	9.34036	−	11.4376i	0.316304	−	0.387325i
$873$	2.41941	+	3.62090i	0.0818845	+	0.122549i
$874$	−25.8741	−	24.1946i	−0.875203	−	0.818393i
$875$	−3.95240	+	0.109680i	−0.133616	+	0.00370786i
$876$	−11.2842	−	9.86386i	−0.381259	−	0.333269i
$877$	−44.2026	−	8.79244i	−1.49262	−	0.296900i	−0.619726	−	0.784818i	$-0.712756\pi$
$877$	−44.2026	−	8.79244i	−1.49262	−	0.296900i	−0.872889	+	0.487918i	$0.837756\pi$
$878$	6.43096	−	6.87737i	0.217034	−	0.232100i
$879$	7.83321	−	11.7232i	0.264208	−	0.395415i
$880$	−2.25468	+	8.85496i	−0.0760054	+	0.298501i
$881$	0.880215	+	4.42514i	0.0296552	+	0.149087i	0.992776	−	0.119983i	$-0.0382839\pi$
$881$	0.880215	+	4.42514i	0.0296552	+	0.149087i	−0.963121	+	0.269069i	$0.913284\pi$
$882$	−1.36278	−	1.89853i	−0.0458873	−	0.0639268i
$883$	25.1294	+	25.1294i	0.845673	+	0.845673i	0.989590	−	0.143917i	$-0.0459699\pi$
$883$	25.1294	+	25.1294i	0.845673	+	0.845673i	−0.143917	+	0.989590i	$0.545970\pi$
$884$	34.1341	+	23.9908i	1.14805	+	0.806898i
$885$	−17.5526	−	41.2914i	−0.590023	−	1.38800i
$886$	−6.45068	+	39.2682i	−0.216715	+	1.31924i
$887$	21.1106	−	31.5943i	0.708826	−	1.06083i	−0.285900	−	0.958260i	$-0.592292\pi$
$887$	21.1106	−	31.5943i	0.708826	−	1.06083i	0.994725	−	0.102573i	$-0.0327076\pi$
$888$	22.5005	+	27.2821i	0.755069	+	0.915528i
$889$	−1.39513	−	0.932195i	−0.0467911	−	0.0312648i
$890$	7.16339	−	3.33290i	0.240117	−	0.111719i
$891$	8.20834	−	5.48464i	0.274990	−	0.183742i
$892$	−27.3656	+	1.83797i	−0.916267	+	0.0615398i
$893$	−9.58503	+	23.1403i	−0.320751	+	0.774361i
$894$	14.4968	+	13.5558i	0.484846	+	0.453374i
$895$	−29.6380	−	19.4094i	−0.990688	−	0.648785i
$896$	−2.09363	+	3.40961i	−0.0699434	+	0.113907i
$897$			38.1384i			1.27340i
$898$	−11.4306	+	30.4448i	−0.381444	+	1.01596i
$899$	−8.21362	+	19.8294i	−0.273940	+	0.661349i
$900$	0.726715	−	2.29119i	0.0242238	−	0.0763730i
$901$	7.70846	−	0.817880i	0.256806	−	0.0272475i
$902$	−10.1407	−	6.29453i	−0.337647	−	0.209585i
$903$	1.57952	+	3.81330i	0.0525632	+	0.126899i
$904$	38.5332	+	31.4677i	1.28160	+	1.04660i
$905$	−19.4046	−	45.6482i	−0.645030	−	1.51740i
$906$	46.8487	+	17.5895i	1.55645	+	0.584372i
$907$	−11.9601	−	17.8995i	−0.397128	−	0.594344i	0.577987	−	0.816046i	$-0.303839\pi$
$907$	−11.9601	−	17.8995i	−0.397128	−	0.594344i	−0.975114	+	0.221703i	$0.928839\pi$
$908$	−46.6089	+	12.5694i	−1.54677	+	0.417131i
$909$	−0.0957977	−	0.231276i	−0.00317741	−	0.00767094i
$910$	2.93947	−	4.83478i	0.0974424	−	0.160271i
$911$	−20.3249	+	13.5807i	−0.673395	+	0.449948i	−0.844679	−	0.535273i	$-0.820209\pi$
$911$	−20.3249	+	13.5807i	−0.673395	+	0.449948i	0.171284	+	0.985222i	$0.445209\pi$
$912$	−42.9870	−	2.67828i	−1.42344	−	0.0886866i
$913$	0.875258	+	4.40022i	0.0289668	+	0.145626i
$914$	−42.1086	−	26.1378i	−1.39283	−	0.864560i
$915$	−5.82227	−	8.54158i	−0.192478	−	0.282376i
$916$	−15.7119	+	1.05527i	−0.519137	+	0.0348670i
$917$	2.46011	−	2.46011i	0.0812401	−	0.0812401i
$918$	28.6856	−	4.02013i	0.946767	−	0.132684i
$919$		−	15.3418i		−	0.506078i	−0.967456	−	0.253039i	$-0.918570\pi$
$919$		−	15.3418i		−	0.506078i	0.967456	−	0.253039i	$-0.0814301\pi$
$920$	−26.3853	−	2.28824i	−0.869896	−	0.0754410i
$921$	−5.81192	+	1.15606i	−0.191509	+	0.0380936i
$922$	−0.320797	−	1.37082i	−0.0105649	−	0.0451456i
$923$	−8.26368	−	41.5443i	−0.272002	−	1.36745i
$924$	−0.338676	−	1.25585i	−0.0111416	−	0.0413145i
$925$	28.5139	−	19.8248i	0.937530	−	0.651836i
$926$	9.31732	+	12.9802i	0.306186	+	0.426555i
$927$	−1.23008	+	2.96968i	−0.0404011	+	0.0975369i
$928$	−15.7272	−	11.1743i	−0.516272	−	0.366813i
$929$	−8.78351	−	1.74715i	−0.288178	−	0.0573221i	0.0488847	−	0.998804i	$-0.484433\pi$
$929$	−8.78351	−	1.74715i	−0.288178	−	0.0573221i	−0.337062	+	0.941482i	$0.609433\pi$
$930$	26.3915	+	24.2248i	0.865410	+	0.794363i
$931$	29.0787	+	29.0787i	0.953015	+	0.953015i
$932$	32.3879	+	4.21081i	1.06090	+	0.137930i
$933$	17.3102	+	41.7904i	0.566709	+	1.36816i
$934$	−5.47591	−	23.3996i	−0.179177	−	0.765657i
$935$	−1.08033	−	9.35655i	−0.0353307	−	0.305992i
$936$	2.18859	+	2.65368i	0.0715362	+	0.0867383i
$937$	−15.0910	+	6.25091i	−0.493003	+	0.204208i	−0.615312	−	0.788284i	$-0.710970\pi$
$937$	−15.0910	+	6.25091i	−0.493003	+	0.204208i	0.122309	+	0.992492i	$0.460970\pi$
$938$	−1.07306	+	2.85805i	−0.0350367	+	0.0933185i
$939$	−12.0973	−	12.0973i	−0.394781	−	0.394781i
$940$	5.04283	+	18.0343i	0.164479	+	0.588215i
$941$	−4.69614	+	23.6091i	−0.153090	+	0.769634i	0.825595	+	0.564264i	$0.190840\pi$
$941$	−4.69614	+	23.6091i	−0.153090	+	0.769634i	−0.978684	+	0.205370i	$0.934160\pi$
$942$	11.5083	−	0.386034i	0.374961	−	0.0125777i
$943$	13.2385	−	31.9605i	0.431104	−	1.04078i
$944$	−11.4009	+	43.1047i	−0.371069	+	1.40294i
$945$	−0.801974	−	3.84559i	−0.0260882	−	0.125097i
$946$	−0.314039	−	9.36200i	−0.0102103	−	0.304385i
$947$	1.22674	+	6.16723i	0.0398637	+	0.200408i	0.995585	−	0.0938654i	$-0.0299223\pi$
$947$	1.22674	+	6.16723i	0.0398637	+	0.200408i	−0.955721	+	0.294274i	$0.904922\pi$
$948$	3.81007	+	7.69474i	0.123745	+	0.249914i
$949$	−4.10912	−	20.6580i	−0.133388	−	0.670586i
$950$	−6.08321	+	41.8570i	−0.197365	+	1.35802i
$951$			52.4292i			1.70013i
$952$	0.764308	−	4.05279i	0.0247714	−	0.131352i
$953$	−6.74183	−	6.74183i	−0.218389	−	0.218389i	0.589430	−	0.807819i	$-0.299352\pi$
$953$	−6.74183	−	6.74183i	−0.218389	−	0.218389i	−0.807819	+	0.589430i	$0.799352\pi$
$954$	0.630643	+	0.103597i	0.0204178	+	0.00335408i
$955$	1.99740	−	10.5506i	0.0646342	−	0.341409i
$956$	40.4762	+	13.6671i	1.30909	+	0.442024i
$957$	6.15138	−	1.22359i	0.198846	−	0.0395529i
$958$	−19.5953	−	18.3234i	−0.633097	−	0.592002i
$959$	6.37797	−	4.26162i	0.205955	−	0.137615i
$960$	−26.5197	+	18.2654i	−0.855919	+	0.589513i
$961$	−7.95010	+	3.29304i	−0.256455	+	0.106227i
$962$	1.66612	+	49.6698i	0.0537180	+	1.60142i
$963$	0.761796	+	1.14011i	0.0245485	+	0.0367395i
$964$	4.56150	−	35.0852i	0.146916	−	1.13002i
$965$	3.15829	−	7.82878i	0.101669	−	0.252017i
$966$	3.43272	−	1.55868i	0.110446	−	0.0501498i
$967$	7.44070	+	17.9634i	0.239277	+	0.577665i	0.997208	−	0.0746689i	$-0.0237900\pi$
$967$	7.44070	+	17.9634i	0.239277	+	0.577665i	−0.757932	+	0.652334i	$0.773790\pi$
$968$	2.69242	−	28.0317i	0.0865377	−	0.900974i
$969$	42.3860	−	13.2070i	1.36163	−	0.424271i
$970$	−56.6177	−	8.76381i	−1.81789	−	0.281389i
$971$	0.725965	−	1.75263i	0.0232973	−	0.0562447i	−0.911803	−	0.410628i	$-0.865309\pi$
$971$	0.725965	−	1.75263i	0.0232973	−	0.0562447i	0.935100	+	0.354384i	$0.115309\pi$
$972$	4.94263	+	0.642601i	0.158535	+	0.0206114i
$973$	−6.33136			−0.202974
$974$	−20.2221	−	7.59245i	−0.647958	−	0.243278i
$975$	37.3891	−	25.9955i	1.19741	−	0.832522i
$976$	−0.638789	+	10.2527i	−0.0204471	+	0.328182i
$977$	−0.834852	−	0.345807i	−0.0267093	−	0.0110633i	0.369289	−	0.929315i	$-0.379601\pi$
$977$	−0.834852	−	0.345807i	−0.0267093	−	0.0110633i	−0.395998	+	0.918251i	$0.629601\pi$
$978$	23.8613	+	3.91974i	0.762999	+	0.125340i
$979$	2.12226	−	1.41805i	0.0678278	−	0.0453211i
$980$	30.5244	+	3.68182i	0.975066	+	0.117611i
$981$	−0.697202	+	1.04344i	−0.0222599	+	0.0333144i
$982$	−43.0468	+	10.0737i	−1.37368	+	0.321465i
$983$	−6.99373	+	10.4669i	−0.223065	+	0.333841i	−0.926075	−	0.377339i	$-0.876839\pi$
$983$	−6.99373	+	10.4669i	−0.223065	+	0.333841i	0.703010	+	0.711180i	$0.251839\pi$
$984$	−12.3071	−	40.2204i	−0.392335	−	1.28218i
$985$	−15.7024	−	36.9389i	−0.500319	−	1.17697i
$986$	19.2511	+	4.98667i	0.613082	+	0.158808i
$987$	−1.88490	−	1.88490i	−0.0599970	−	0.0599970i
$988$	−45.5719	−	39.8356i	−1.44983	−	1.26734i
$989$	26.6286	−	5.29675i	0.846739	−	0.168427i
$990$	0.118784	−	0.767392i	0.00377520	−	0.0243893i
$991$	−30.9412	+	46.3068i	−0.982881	+	1.47099i	−0.103636	+	0.994615i	$0.533048\pi$
$991$	−30.9412	+	46.3068i	−0.982881	+	1.47099i	−0.879245	+	0.476370i	$0.841952\pi$
$992$	−5.94068	−	35.1009i	−0.188617	−	1.11445i
$993$	0.695301	−	3.49551i	0.0220647	−	0.110927i
$994$	−3.40155	+	2.44167i	−0.107891	+	0.0774450i
$995$	3.49953	−	0.0323634i	0.110943	−	0.00102599i
$996$	−7.88315	+	13.7050i	−0.249787	+	0.434260i
$997$	6.39893	−	4.27563i	0.202656	−	0.135410i	−0.450101	−	0.892977i	$-0.648612\pi$
$997$	6.39893	−	4.27563i	0.202656	−	0.135410i	0.652757	+	0.757567i	$0.273612\pi$
$998$	−9.05400	+	4.11112i	−0.286600	+	0.130135i
$999$	24.3977	+	24.3977i	0.771908	+	0.771908i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	680.2.cf.a.533.21	yes	832
5.2	odd	4		680.2.ct.a.397.34	yes	832
8.5	even	2	inner	680.2.cf.a.533.5	yes	832
17.3	odd	16		680.2.ct.a.173.49	yes	832
40.37	odd	4		680.2.ct.a.397.49	yes	832
85.37	even	16	inner	680.2.cf.a.37.5	✓	832
136.37	odd	16		680.2.ct.a.173.34	yes	832
680.37	even	16	inner	680.2.cf.a.37.21	yes	832

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
680.2.cf.a.37.5	✓	832	85.37	even	16	inner
680.2.cf.a.37.21	yes	832	680.37	even	16	inner
680.2.cf.a.533.5	yes	832	8.5	even	2	inner
680.2.cf.a.533.21	yes	832	1.1	even	1	trivial
680.2.ct.a.173.34	yes	832	136.37	odd	16
680.2.ct.a.173.49	yes	832	17.3	odd	16
680.2.ct.a.397.34	yes	832	5.2	odd	4
680.2.ct.a.397.49	yes	832	40.37	odd	4

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:	\( N \)	\(=\)	\( 680 = 2^{3} \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	680.cf (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14887 + 0.824675i) q^{2} +(-1.00008 + 1.49673i) q^{3} +(0.639823 - 1.89489i) q^{4} +(-1.25943 - 1.84765i) q^{5} +(-0.0853459 - 2.54430i) q^{6} +(-0.346855 - 0.0689937i) q^{7} +(0.827595 + 2.70464i) q^{8} +(-0.0919848 - 0.222071i) q^{9} +(2.97064 + 1.08410i) q^{10} +(1.00197 + 0.199305i) q^{11} +(2.19627 + 2.85270i) q^{12} +5.05949i q^{13} +(0.455390 - 0.206777i) q^{14} +(4.02498 - 0.0372228i) q^{15} +(-3.18125 - 2.42480i) q^{16} +(3.95447 + 1.16713i) q^{17} +(0.288815 + 0.179274i) q^{18} +(-5.52633 - 2.28908i) q^{19} +(-4.30693 + 1.20432i) q^{20} +(0.450148 - 0.450148i) q^{21} +(-1.31550 + 0.597326i) q^{22} +(-2.32647 - 3.48181i) q^{23} +(-4.87578 - 1.46618i) q^{24} +(-1.82766 + 4.65399i) q^{25} +(-4.17243 - 5.81272i) q^{26} +(-4.87217 - 0.969135i) q^{27} +(-0.352661 + 0.613109i) q^{28} +(-2.83574 - 1.89478i) q^{29} +(-4.59350 + 3.36206i) q^{30} +(-1.22775 - 6.17234i) q^{31} +(5.65453 + 0.162287i) q^{32} +(-1.30036 + 1.30036i) q^{33} +(-5.50568 + 1.92027i) q^{34} +(0.309364 + 0.727760i) q^{35} +(-0.479655 + 0.0322153i) q^{36} +(-5.77512 - 3.85882i) q^{37} +(8.23680 - 1.92756i) q^{38} +(-7.57269 - 5.05991i) q^{39} +(3.95494 - 4.93543i) q^{40} +(4.58964 + 6.86888i) q^{41} +(-0.145938 + 0.888390i) q^{42} +(-2.48116 + 5.99005i) q^{43} +(1.01875 - 1.77111i) q^{44} +(-0.294462 + 0.449639i) q^{45} +(5.54418 + 2.08158i) q^{46} -4.18729i q^{47} +(6.81078 - 2.33648i) q^{48} +(-6.35161 - 2.63092i) q^{49} +(-1.73828 - 6.85408i) q^{50} +(-5.70167 + 4.75155i) q^{51} +(9.58720 + 3.23718i) q^{52} +(1.73696 - 0.719472i) q^{53} +(6.39673 - 2.90454i) q^{54} +(-0.893672 - 2.10231i) q^{55} +(-0.100452 - 0.995216i) q^{56} +(8.95292 - 5.98215i) q^{57} +(4.82048 - 0.161698i) q^{58} +(-4.26567 - 10.2982i) q^{59} +(2.50474 - 7.65073i) q^{60} +(-1.42679 - 2.13534i) q^{61} +(6.50071 + 6.07874i) q^{62} +(0.0165839 + 0.0833726i) q^{63} +(-6.63017 + 4.47670i) q^{64} +(9.34819 - 6.37209i) q^{65} +(0.421577 - 2.56633i) q^{66} +(-4.31620 + 4.31620i) q^{67} +(4.74174 - 6.74655i) q^{68} +7.53799 q^{69} +(-0.955585 - 0.580981i) q^{70} +(-8.21116 + 1.63330i) q^{71} +(0.524496 - 0.432571i) q^{72} +(-4.08301 + 0.812162i) q^{73} +(9.81716 - 0.329307i) q^{74} +(-5.13797 - 7.38989i) q^{75} +(-7.87344 + 9.00720i) q^{76} +(-0.333788 - 0.138260i) q^{77} +(12.8729 - 0.431807i) q^{78} +(2.33914 + 0.465284i) q^{79} +(-0.473612 + 8.93172i) q^{80} +(6.83300 - 6.83300i) q^{81} +(-10.9375 - 4.10652i) q^{82} +(1.68057 + 4.05726i) q^{83} +(-0.564968 - 1.14100i) q^{84} +(-2.82394 - 8.77641i) q^{85} +(-2.08930 - 8.92797i) q^{86} +(5.67194 - 2.34940i) q^{87} +(0.290180 + 2.87492i) q^{88} +(1.76667 - 1.76667i) q^{89} +(-0.0325069 - 0.759414i) q^{90} +(0.349073 - 1.75491i) q^{91} +(-8.08619 + 2.18067i) q^{92} +(10.4662 + 4.33523i) q^{93} +(3.45315 + 4.81066i) q^{94} +(2.73061 + 13.0937i) q^{95} +(-5.89790 + 8.30100i) q^{96} +(-17.7692 + 3.53451i) q^{97} +(9.46685 - 2.21541i) q^{98} +(-0.0479065 - 0.240842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 832 q - 8 q^{2} - 16 q^{6} - 16 q^{7} - 8 q^{8} - 8 q^{10} - 32 q^{12} - 32 q^{14} - 16 q^{15} - 16 q^{17} - 16 q^{18} - 8 q^{20} - 8 q^{22} - 16 q^{23} - 16 q^{25} - 48 q^{26} - 40 q^{28} - 72 q^{30} - 32 q^{31}+ \cdots - 16 q^{98}+O(q^{100}) \) 832 * q - 8 * q^2 - 16 * q^6 - 16 * q^7 - 8 * q^8 - 8 * q^10 - 32 * q^12 - 32 * q^14 - 16 * q^15 - 16 * q^17 - 16 * q^18 - 8 * q^20 - 8 * q^22 - 16 * q^23 - 16 * q^25 - 48 * q^26 - 40 * q^28 - 72 * q^30 - 32 * q^31 - 8 * q^32 + 48 * q^36 + 96 * q^39 + 48 * q^40 - 32 * q^41 + 8 * q^42 - 32 * q^46 + 72 * q^48 - 16 * q^52 - 64 * q^54 - 16 * q^55 - 16 * q^56 - 16 * q^57 - 64 * q^58 - 8 * q^60 - 8 * q^62 - 64 * q^63 + 64 * q^65 - 16 * q^66 - 128 * q^68 - 72 * q^70 - 32 * q^71 - 16 * q^72 - 96 * q^73 - 16 * q^76 - 64 * q^78 - 136 * q^80 - 32 * q^81 - 8 * q^82 - 96 * q^84 - 32 * q^86 - 16 * q^87 + 80 * q^88 + 136 * q^90 + 104 * q^92 + 48 * q^94 - 16 * q^95 - 16 * q^96 - 16 * q^97 - 16 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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