LMFDB - Embedded newform 680.2.cf.a.37.5

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			37.5
Character	$\chi$	$=$	680.37
Dual form			680.2.cf.a.533.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.39551 - 0.229244i) q^{2} +(1.00008 + 1.49673i) q^{3} +(1.89489 + 0.639823i) q^{4} +(1.25943 - 1.84765i) q^{5} +(-1.05251 - 2.31796i) q^{6} +(-0.346855 + 0.0689937i) q^{7} +(-2.49767 - 1.32727i) q^{8} +(-0.0919848 + 0.222071i) q^{9} +(-2.18111 + 2.28970i) q^{10} +(-1.00197 + 0.199305i) q^{11} +(0.937409 + 3.47602i) q^{12} +5.05949i q^{13} +(0.499855 - 0.0167671i) q^{14} +(4.02498 + 0.0372228i) q^{15} +(3.18125 + 2.42480i) q^{16} +(3.95447 - 1.16713i) q^{17} +(0.179274 - 0.288815i) q^{18} +(5.52633 - 2.28908i) q^{19} +(3.56867 - 2.69530i) q^{20} +(-0.450148 - 0.450148i) q^{21} +(1.44395 - 0.0484359i) q^{22} +(-2.32647 + 3.48181i) q^{23} +(-0.511308 - 5.06572i) q^{24} +(-1.82766 - 4.65399i) q^{25} +(1.15986 - 7.06057i) q^{26} +(4.87217 - 0.969135i) q^{27} +(-0.701397 - 0.0911899i) q^{28} +(2.83574 - 1.89478i) q^{29} +(-5.60836 - 0.974645i) q^{30} +(-1.22775 + 6.17234i) q^{31} +(-3.88360 - 4.11311i) q^{32} +(-1.30036 - 1.30036i) q^{33} +(-5.78605 + 0.722199i) q^{34} +(-0.309364 + 0.727760i) q^{35} +(-0.316388 + 0.361947i) q^{36} +(5.77512 - 3.85882i) q^{37} +(-8.23680 + 1.92756i) q^{38} +(-7.57269 + 5.05991i) q^{39} +(-5.59799 + 2.94322i) q^{40} +(4.58964 - 6.86888i) q^{41} +(0.524993 + 0.731380i) q^{42} +(2.48116 + 5.99005i) q^{43} +(-2.02615 - 0.263424i) q^{44} +(0.294462 + 0.449639i) q^{45} +(4.04479 - 4.32557i) q^{46} +4.18729i q^{47} +(-0.447748 + 7.18647i) q^{48} +(-6.35161 + 2.63092i) q^{49} +(1.48362 + 6.91367i) q^{50} +(5.70167 + 4.75155i) q^{51} +(-3.23718 + 9.58720i) q^{52} +(-1.73696 - 0.719472i) q^{53} +(-7.02133 + 0.235523i) q^{54} +(-0.893672 + 2.10231i) q^{55} +(0.957901 + 0.288047i) q^{56} +(8.95292 + 5.98215i) q^{57} +(-4.39166 + 1.99411i) q^{58} +(4.26567 - 10.2982i) q^{59} +(7.60309 + 2.64581i) q^{60} +(1.42679 - 2.13534i) q^{61} +(3.12831 - 8.33210i) q^{62} +(0.0165839 - 0.0833726i) q^{63} +(4.47670 + 6.63017i) q^{64} +(9.34819 + 6.37209i) q^{65} +(1.51657 + 2.11277i) q^{66} +(4.31620 + 4.31620i) q^{67} +(8.24005 + 0.318581i) q^{68} -7.53799 q^{69} +(0.598554 - 0.944677i) q^{70} +(-8.21116 - 1.63330i) q^{71} +(0.524496 - 0.432571i) q^{72} +(-4.08301 - 0.812162i) q^{73} +(-8.94385 + 4.06110i) q^{74} +(5.13797 - 7.38989i) q^{75} +(11.9364 - 0.801692i) q^{76} +(0.333788 - 0.138260i) q^{77} +(11.7277 - 5.32516i) q^{78} +(2.33914 - 0.465284i) q^{79} +(8.48676 - 2.82399i) q^{80} +(6.83300 + 6.83300i) q^{81} +(-7.97954 + 8.53345i) 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} +(2.76713 + 0.832094i) q^{88} +(1.76667 + 1.76667i) q^{89} +(-0.307847 - 0.694980i) q^{90} +(-0.349073 - 1.75491i) q^{91} +(-6.63616 + 5.10913i) q^{92} +(-10.4662 + 4.33523i) q^{93} +(0.959908 - 5.84340i) q^{94} +(2.73061 - 13.0937i) q^{95} +(2.27229 - 9.92615i) 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 $\left(\mathbb{Z}/680\mathbb{Z}\right)^\times$.

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

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 $

$2$	−1.39551	−	0.229244i	−0.986774	−	0.162100i
$2$	−1.39551	−	0.229244i	−0.986774	−	0.162100i
$3$	1.00008	+	1.49673i	0.577398	+	0.864138i	0.999092	−	0.0426006i	$-0.0135643\pi$
$3$	1.00008	+	1.49673i	0.577398	+	0.864138i	−0.421694	+	0.906738i	$0.638564\pi$
$4$	1.89489	+	0.639823i	0.947447	+	0.319912i
$5$	1.25943	−	1.84765i	0.563236	−	0.826296i
$5$	1.25943	−	1.84765i	0.563236	−	0.826296i
$6$	−1.05251	−	2.31796i	−0.429685	−	0.946305i
$7$	−0.346855	+	0.0689937i	−0.131099	+	0.0260772i	−0.260203	−	0.965554i	$-0.583790\pi$
$7$	−0.346855	+	0.0689937i	−0.131099	+	0.0260772i	0.129105	+	0.991631i	$0.458790\pi$
$8$	−2.49767	−	1.32727i	−0.883059	−	0.469262i
$9$	−0.0919848	+	0.222071i	−0.0306616	+	0.0740236i
$10$	−2.18111	+	2.28970i	−0.689729	+	0.724068i
$11$	−1.00197	+	0.199305i	−0.302106	+	0.0600927i	−0.343816	−	0.939037i	$-0.611720\pi$
$11$	−1.00197	+	0.199305i	−0.302106	+	0.0600927i	0.0417095	+	0.999130i	$0.486720\pi$
$12$	0.937409	+	3.47602i	0.270607	+	1.00344i
$13$			5.05949i			1.40325i	0.712546	+	0.701625i	$0.247542\pi$
$13$			5.05949i			1.40325i	−0.712546	+	0.701625i	$0.752458\pi$
$14$	0.499855	−	0.0167671i	0.133592	−	0.00448121i
$15$	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
$18$	0.179274	−	0.288815i	0.0422553	−	0.0680744i
$19$	5.52633	−	2.28908i	1.26783	−	0.525151i	0.355524	−	0.934667i	$-0.384302\pi$
$19$	5.52633	−	2.28908i	1.26783	−	0.525151i	0.912303	+	0.409516i	$0.134302\pi$
$20$	3.56867	−	2.69530i	0.797978	−	0.602687i
$21$	−0.450148	−	0.450148i	−0.0982304	−	0.0982304i
$22$	1.44395	−	0.0484359i	0.307852	−	0.0103266i
$23$	−2.32647	+	3.48181i	−0.485102	+	0.726007i	−0.990595	−	0.136824i	$-0.956311\pi$
$23$	−2.32647	+	3.48181i	−0.485102	+	0.726007i	0.505493	+	0.862831i	$0.331311\pi$
$24$	−0.511308	−	5.06572i	−0.104370	−	1.03404i
$25$	−1.82766	−	4.65399i	−0.365531	−	0.930799i
$26$	1.15986	−	7.06057i	0.227466	−	1.38469i
$27$	4.87217	−	0.969135i	0.937649	−	0.186510i
$28$	−0.701397	−	0.0911899i	−0.132552	−	0.0172333i
$29$	2.83574	−	1.89478i	0.526583	−	0.351851i	−0.263689	−	0.964608i	$-0.584939\pi$
$29$	2.83574	−	1.89478i	0.526583	−	0.351851i	0.790272	+	0.612756i	$0.209939\pi$
$30$	−5.60836	−	0.974645i	−1.02394	−	0.177945i
$31$	−1.22775	+	6.17234i	−0.220511	+	1.10858i	0.698880	+	0.715239i	$0.253682\pi$
$31$	−1.22775	+	6.17234i	−0.220511	+	1.10858i	−0.919391	+	0.393345i	$0.871318\pi$
$32$	−3.88360	−	4.11311i	−0.686530	−	0.727102i
$33$	−1.30036	−	1.30036i	−0.226364	−	0.226364i
$34$	−5.78605	+	0.722199i	−0.992300	+	0.123856i
$35$	−0.309364	+	0.727760i	−0.0522920	+	0.123014i
$36$	−0.316388	+	0.361947i	−0.0527313	+	0.0603245i
$37$	5.77512	−	3.85882i	0.949425	−	0.634385i	0.0185905	−	0.999827i	$-0.494082\pi$
$37$	5.77512	−	3.85882i	0.949425	−	0.634385i	0.930834	+	0.365442i	$0.119082\pi$
$38$	−8.23680	+	1.92756i	−1.33619	+	0.312691i
$39$	−7.57269	+	5.05991i	−1.21260	+	0.810234i
$40$	−5.59799	+	2.94322i	−0.885119	+	0.465364i
$41$	4.58964	−	6.86888i	0.716782	−	1.07274i	−0.276943	−	0.960886i	$-0.589321\pi$
$41$	4.58964	−	6.86888i	0.716782	−	1.07274i	0.993725	−	0.111853i	$-0.0356786\pi$
$42$	0.524993	+	0.731380i	0.0810081	+	0.112854i
$43$	2.48116	+	5.99005i	0.378374	+	0.913475i	0.992271	+	0.124089i	$0.0396008\pi$
$43$	2.48116	+	5.99005i	0.378374	+	0.913475i	−0.613898	+	0.789386i	$0.710399\pi$
$44$	−2.02615	−	0.263424i	−0.305454	−	0.0397127i
$45$	0.294462	+	0.449639i	0.0438958	+	0.0670283i
$46$	4.04479	−	4.32557i	0.596372	−	0.637770i
$47$			4.18729i			0.610778i	0.952228	+	0.305389i	$0.0987865\pi$
$47$			4.18729i			0.610778i	−0.952228	+	0.305389i	$0.901213\pi$
$48$	−0.447748	+	7.18647i	−0.0646269	+	1.03728i
$49$	−6.35161	+	2.63092i	−0.907373	+	0.375846i
$50$	1.48362	+	6.91367i	0.209815	+	0.977741i
$51$	5.70167	+	4.75155i	0.798393	+	0.665350i
$52$	−3.23718	+	9.58720i	−0.448916	+	1.32951i
$53$	−1.73696	−	0.719472i	−0.238590	−	0.0988271i	0.260185	−	0.965559i	$-0.416216\pi$
$53$	−1.73696	−	0.719472i	−0.238590	−	0.0988271i	−0.498775	+	0.866732i	$0.666216\pi$
$54$	−7.02133	+	0.235523i	−0.955482	+	0.0320507i
$55$	−0.893672	+	2.10231i	−0.120503	+	0.283476i
$56$	0.957901	+	0.288047i	0.128005	+	0.0384919i
$57$	8.95292	+	5.98215i	1.18584	+	0.792355i
$58$	−4.39166	+	1.99411i	−0.576653	+	0.261839i
$59$	4.26567	−	10.2982i	0.555343	−	1.34072i	−0.358075	−	0.933693i	$-0.616567\pi$
$59$	4.26567	−	10.2982i	0.555343	−	1.34072i	0.913418	−	0.407023i	$-0.133433\pi$
$60$	7.60309	+	2.64581i	0.981555	+	0.341572i
$61$	1.42679	−	2.13534i	0.182681	−	0.273402i	−0.728814	−	0.684711i	$-0.759928\pi$
$61$	1.42679	−	2.13534i	0.182681	−	0.273402i	0.911496	+	0.411309i	$0.134928\pi$
$62$	3.12831	−	8.33210i	0.397296	−	1.05818i
$63$	0.0165839	−	0.0833726i	0.00208937	−	0.0105040i
$64$	4.47670	+	6.63017i	0.559587	+	0.828772i
$65$	9.34819	+	6.37209i	1.15950	+	0.790360i
$66$	1.51657	+	2.11277i	0.186677	+	0.260064i
$67$	4.31620	+	4.31620i	0.527308	+	0.527308i	0.919769	−	0.392461i	$-0.128376\pi$
$67$	4.31620	+	4.31620i	0.527308	+	0.527308i	−0.392461	+	0.919769i	$0.628376\pi$
$68$	8.24005	+	0.318581i	0.999253	+	0.0386336i
$69$	−7.53799			−0.907467
$70$	0.598554	−	0.944677i	0.0715409	−	0.112911i
$71$	−8.21116	−	1.63330i	−0.974486	−	0.193837i	−0.317930	−	0.948114i	$-0.602988\pi$
$71$	−8.21116	−	1.63330i	−0.974486	−	0.193837i	−0.656556	+	0.754277i	$0.727988\pi$
$72$	0.524496	−	0.432571i	0.0618124	−	0.0509789i
$73$	−4.08301	−	0.812162i	−0.477880	−	0.0950563i	−0.0497279	−	0.998763i	$-0.515835\pi$
$73$	−4.08301	−	0.812162i	−0.477880	−	0.0950563i	−0.428153	+	0.903706i	$0.640835\pi$
$74$	−8.94385	+	4.06110i	−1.03970	+	0.472094i
$75$	5.13797	−	7.38989i	0.593281	−	0.853311i
$76$	11.9364	−	0.801692i	1.36920	−	0.0919604i
$77$	0.333788	−	0.138260i	0.0380387	−	0.0157561i
$78$	11.7277	−	5.32516i	1.32790	−	0.602956i
$79$	2.33914	−	0.465284i	0.263174	−	0.0523485i	−0.0617396	−	0.998092i	$-0.519665\pi$
$79$	2.33914	−	0.465284i	0.263174	−	0.0523485i	0.324913	+	0.945744i	$0.394665\pi$
$80$	8.48676	−	2.82399i	0.948849	−	0.315732i
$81$	6.83300	+	6.83300i	0.759223	+	0.759223i
$82$	−7.97954	+	8.53345i	−0.881192	+	0.942362i
$83$	−1.68057	+	4.05726i	−0.184467	+	0.445343i	−0.988878	−	0.148731i	$-0.952481\pi$
$83$	−1.68057	+	4.05726i	−0.184467	+	0.445343i	0.804411	+	0.594074i	$0.202481\pi$
$84$	−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
$88$	2.76713	+	0.832094i	0.294977	+	0.0887015i
$89$	1.76667	+	1.76667i	0.187267	+	0.187267i	0.794513	−	0.607247i	$-0.207726\pi$
$89$	1.76667	+	1.76667i	0.187267	+	0.187267i	−0.607247	+	0.794513i	$0.707726\pi$
$90$	−0.307847	−	0.694980i	−0.0324499	−	0.0732573i
$91$	−0.349073	−	1.75491i	−0.0365928	−	0.183964i
$92$	−6.63616	+	5.10913i	−0.691867	+	0.532664i
$93$	−10.4662	+	4.33523i	−1.08529	+	0.449543i
$94$	0.959908	−	5.84340i	0.0990070	−	0.602700i
$95$	2.73061	−	13.0937i	0.280155	−	1.34338i
$96$	2.27229	−	9.92615i	0.231915	−	1.01308i
$97$	−17.7692	−	3.53451i	−1.80419	−	0.358875i	−0.825528	−	0.564360i	$-0.809123\pi$
$97$	−17.7692	−	3.53451i	−1.80419	−	0.358875i	−0.978660	+	0.205485i	$0.934123\pi$
$98$	9.46685	−	2.21541i	0.956297	−	0.223790i
$99$	0.0479065	−	0.240842i	0.00481478	−	0.0242055i
$100$	−0.485484	−	9.98821i	−0.0485484	−	0.998821i
$101$	−1.04145			−0.103628			−0.0518142	−	0.998657i	$-0.516500\pi$
$101$	−1.04145			−0.103628			−0.0518142	+	0.998657i	$0.516500\pi$
$102$	−6.86747	−	7.93790i	−0.679981	−	0.785970i
$103$	−9.45589	+	9.45589i	−0.931717	+	0.931717i	−0.997813	−	0.0660967i	$-0.978945\pi$
$103$	−9.45589	+	9.45589i	−0.931717	+	0.931717i	0.0660967	+	0.997813i	$0.478945\pi$
$104$	6.71532	−	12.6369i	0.658491	−	1.23915i
$105$	−1.39865	+	0.264787i	−0.136494	+	0.0258406i
$106$	2.25901	+	1.40222i	0.219414	+	0.136195i
$107$	5.59497	+	1.11291i	0.540886	+	0.107589i	0.457970	−	0.888968i	$-0.348577\pi$
$107$	5.59497	+	1.11291i	0.540886	+	0.107589i	0.0829160	+	0.996557i	$0.473577\pi$
$108$	9.85232	+	1.28092i	0.948040	+	0.123257i
$109$	2.90056	−	4.34100i	0.277824	−	0.415792i	−0.666148	−	0.745820i	$-0.732058\pi$
$109$	2.90056	−	4.34100i	0.277824	−	0.415792i	0.943971	+	0.330027i	$0.107058\pi$
$110$	1.72907	−	2.72893i	0.164860	−	0.260193i
$111$	11.5512	+	4.78467i	1.09639	+	0.454141i
$112$	−1.27073	−	0.621565i	−0.120072	−	0.0587324i
$113$	14.6248	+	9.77200i	1.37579	+	0.919272i	0.999972	−	0.00742181i	$-0.00236246\pi$
$113$	14.6248	+	9.77200i	1.37579	+	0.919272i	0.375816	+	0.926694i	$0.377362\pi$
$114$	−11.1225	−	10.4006i	−1.04172	−	0.974101i
$115$	3.50315	+	8.68362i	0.326670	+	0.809751i
$116$	6.58574	−	1.77603i	0.611471	−	0.164901i
$117$	−1.12357	−	0.465396i	−0.103874	−	0.0430259i
$118$	−8.31359	+	13.3934i	−0.765328	+	1.23296i
$119$	−1.29110	+	0.677656i	−0.118355	+	0.0621206i
$120$	−10.0037	−	5.43521i	−0.913205	−	0.496165i
$121$	−9.19845	+	3.81012i	−0.836222	+	0.346375i
$122$	−2.48061	+	2.65280i	−0.224584	+	0.240174i
$123$	14.8709			1.34086
$124$	−6.27567	+	10.9104i	−0.563572	+	0.979781i
$125$	−10.9008	−	2.48451i	−0.974996	−	0.222222i
$126$	−0.0422556	+	0.112546i	−0.00376443	+	0.0100264i
$127$	4.38339	−	1.81566i	0.388963	−	0.161114i	−0.179627	−	0.983735i	$-0.557489\pi$
$127$	4.38339	−	1.81566i	0.388963	−	0.161114i	0.568590	+	0.822621i	$0.307489\pi$
$128$	−4.72735	−	10.2787i	−0.417843	−	0.908519i
$129$	−6.48413	+	9.70418i	−0.570896	+	0.854406i
$130$	−11.5847	−	11.0353i	−1.01605	−	0.967862i
$131$	5.46557	+	8.17980i	0.477529	+	0.714673i	0.989532	−	0.144311i	$-0.0460965\pi$
$131$	5.46557	+	8.17980i	0.477529	+	0.714673i	−0.512003	+	0.858983i	$0.671096\pi$
$132$	−1.63205	−	3.29605i	−0.142052	−	0.286885i
$133$	−1.75890	+	1.17526i	−0.152516	+	0.101908i
$134$	−5.03384	−	7.01276i	−0.434858	−	0.605811i
$135$	4.34554	−	10.2226i	0.374005	−	0.879825i
$136$	−11.4260	−	2.33356i	−0.979775	−	0.200101i
$137$	−15.3372	−	15.3372i	−1.31035	−	1.31035i	−0.921156	−	0.389194i	$-0.872754\pi$
$137$	−15.3372	−	15.3372i	−1.31035	−	1.31035i	−0.389194	−	0.921156i	$-0.627246\pi$
$138$	10.5193	+	1.72804i	0.895466	+	0.147100i
$139$	−17.5589	−	3.49268i	−1.48933	−	0.296245i	−0.617699	−	0.786415i	$-0.711935\pi$
$139$	−17.5589	−	3.49268i	−1.48933	−	0.296245i	−0.871627	+	0.490169i	$0.836935\pi$
$140$	−1.05185	+	1.18109i	−0.0888975	+	0.0998204i
$141$	−6.26724	+	4.18763i	−0.527796	+	0.352662i
$142$	11.0843	+	4.16165i	0.930177	+	0.349237i
$143$	−1.00838	−	5.06948i	−0.0843251	−	0.423931i
$144$	−0.831103	+	0.483419i	−0.0692586	+	0.0402849i
$145$	0.0705230	−	7.62581i	0.00585662	−	0.633289i
$146$	5.51170	+	2.06938i	0.456152	+	0.171263i
$147$	−10.2899	−	6.87550i	−0.848698	−	0.567082i
$148$	13.4122	−	3.61699i	1.10248	−	0.297315i
$149$	5.51284	+	5.51284i	0.451629	+	0.451629i	0.895895	−	0.444266i	$-0.146535\pi$
$149$	5.51284	+	5.51284i	0.451629	+	0.451629i	−0.444266	+	0.895895i	$0.646535\pi$
$150$	−8.86417	+	9.13482i	−0.723756	+	0.745855i
$151$	−7.52249	−	18.1609i	−0.612172	−	1.47791i	−0.860610	−	0.509265i	$-0.829917\pi$
$151$	−7.52249	−	18.1609i	−0.612172	−	1.47791i	0.248438	−	0.968648i	$-0.420083\pi$
$152$	−16.8412	−	1.61758i	−1.36600	−	0.131203i
$153$	−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
$156$	−17.5869	+	4.74281i	−1.40808	+	0.379729i
$157$			4.52318i			0.360989i	0.983576	+	0.180494i	$0.0577698\pi$
$157$			4.52318i			0.360989i	−0.983576	+	0.180494i	$0.942230\pi$
$158$	−3.37096	+	0.113075i	−0.268179	+	0.00899579i
$159$	−0.660248	−	3.31929i	−0.0523611	−	0.263237i
$160$	−12.4907	+	1.99537i	−0.987479	+	0.157748i
$161$	0.566724	−	1.36819i	0.0446641	−	0.107829i
$162$	−7.96910	−	11.1019i	−0.626112	−	0.872251i
$163$	1.85310	+	9.31617i	0.145146	+	0.729699i	0.982971	+	0.183760i	$0.0588269\pi$
$163$	1.85310	+	9.31617i	0.145146	+	0.729699i	−0.837825	+	0.545939i	$0.816173\pi$
$164$	13.0918	−	10.0793i	1.02229	−	0.787057i
$165$	−4.04034	+	0.764902i	−0.314540	+	0.0595475i
$166$	3.27536	−	5.27669i	0.254217	−	0.409551i
$167$	−11.3043	+	7.55328i	−0.874752	+	0.584490i	−0.909870	−	0.414893i	$-0.863819\pi$
$167$	−11.3043	+	7.55328i	−0.874752	+	0.584490i	0.0351186	+	0.999383i	$0.488819\pi$
$168$	0.526852	+	1.72179i	0.0406475	+	0.132839i
$169$	−12.5984			−0.969111
$170$	−5.95277	+	11.6002i	−0.456557	+	0.889694i
$171$			1.43780i			0.109951i
$172$	0.868964	+	12.9380i	0.0662579	+	0.986515i
$173$	−9.13148	−	13.6662i	−0.694253	−	1.03902i	−0.996318	−	0.0857362i	$-0.972676\pi$
$173$	−9.13148	−	13.6662i	−0.694253	−	1.03902i	0.302064	−	0.953288i	$-0.402324\pi$
$174$	−7.37667	−	4.57886i	−0.559224	−	0.347123i
$175$	0.955027	+	1.48816i	0.0721933	+	0.112495i
$176$	−3.67080	−	1.79554i	−0.276697	−	0.135344i
$177$	19.6797	−	3.91454i	1.47922	−	0.294235i
$178$	−2.06041	−	2.87040i	−0.154434	−	0.215146i
$179$	−14.6378	−	6.06317i	−1.09408	−	0.453183i	−0.238652	−	0.971105i	$-0.576706\pi$
$179$	−14.6378	−	6.06317i	−1.09408	−	0.453183i	−0.855427	+	0.517923i	$0.826706\pi$
$180$	0.270284	+	1.04042i	0.0201458	+	0.0775485i
$181$	−21.7562	+	4.32757i	−1.61712	+	0.321666i	−0.918984	−	0.394295i	$-0.870989\pi$
$181$	−21.7562	+	4.32757i	−1.61712	+	0.321666i	−0.698140	+	0.715961i	$0.745989\pi$
$182$	0.0848332	+	2.52901i	0.00628825	+	0.187463i
$183$	4.62293			0.341737
$184$	10.4321	−	5.60854i	0.769062	−	0.413467i
$185$	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
$188$	−2.67912	+	7.93446i	−0.195395	+	0.578680i
$189$	−1.62307	+	0.672298i	−0.118061	+	0.0489024i
$190$	−6.81224	+	17.6464i	−0.494212	+	1.28020i
$191$	3.39565	−	3.39565i	0.245701	−	0.245701i	−0.573503	−	0.819203i	$-0.694416\pi$
$191$	3.39565	−	3.39565i	0.245701	−	0.245701i	0.819203	+	0.573503i	$0.194416\pi$
$192$	−5.44651	+	13.3311i	−0.393068	+	0.962092i
$193$	2.09745	−	3.13905i	0.150977	−	0.225954i	−0.748270	−	0.663395i	$-0.769115\pi$
$193$	2.09745	−	3.13905i	0.150977	−	0.225954i	0.899247	+	0.437441i	$0.144115\pi$
$194$	23.9868	+	9.00592i	1.72215	+	0.646588i
$195$	−0.188328	+	20.3643i	−0.0134865	+	1.45832i
$196$	−13.7190	+	0.921414i	−0.979925	+	0.0658153i
$197$	−17.6053	+	3.50191i	−1.25433	+	0.249501i	−0.777155	−	0.629310i	$-0.783338\pi$
$197$	−17.6053	+	3.50191i	−1.25433	+	0.249501i	−0.477171	+	0.878811i	$0.658338\pi$
$198$	−0.122065	+	0.325115i	−0.00867481	+	0.0231049i
$199$	−0.869525	−	1.30134i	−0.0616390	−	0.0922493i	0.799370	−	0.600839i	$-0.205167\pi$
$199$	−0.869525	−	1.30134i	−0.0616390	−	0.0922493i	−0.861009	+	0.508590i	$0.830167\pi$
$200$	−1.61224	+	14.0499i	−0.114002	+	0.993480i
$201$	−2.14363	+	10.7768i	−0.151200	+	0.760134i
$202$	1.45336	+	0.238746i	0.102258	+	0.0167981i
$203$	−0.852860	+	0.852860i	−0.0598590	+	0.0598590i
$204$	7.76391	+	12.6517i	0.543582	+	0.885799i
$205$	−6.91098	−	17.1310i	−0.482684	−	1.19648i
$206$	15.3635	−	11.0281i	1.07042	−	0.768363i
$207$	−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
$210$	2.01253	−	0.0488814i	0.138878	−	0.00337313i
$211$	4.25948	+	2.84609i	0.293235	+	0.195933i	0.693482	−	0.720474i	$-0.256076\pi$
$211$	4.25948	+	2.84609i	0.293235	+	0.195933i	−0.400247	+	0.916407i	$0.631076\pi$
$212$	−2.83102	−	2.47467i	−0.194435	−	0.169961i
$213$	−5.76723	−	13.9233i	−0.395164	−	0.954011i
$214$	−7.55271	−	2.83569i	−0.516292	−	0.193843i
$215$	14.1924	+	2.95974i	0.967914	+	0.201853i
$216$	−13.4554	−	4.04612i	−0.915522	−	0.275303i
$217$		−	2.22561i		−	0.151084i
$218$	−5.04291	+	5.39297i	−0.341549	+	0.365258i
$219$	−2.86776	−	6.92340i	−0.193786	−	0.467840i
$220$	−3.03852	+	3.41187i	−0.204857	+	0.230028i
$221$	5.90506	+	20.0076i	0.397217	+	1.34586i
$222$	−15.0230	−	9.32509i	−1.00828	−	0.625859i
$223$	−5.24797	+	12.6697i	−0.351430	+	0.848428i	0.645014	+	0.764171i	$0.276852\pi$
$223$	−5.24797	+	12.6697i	−0.351430	+	0.848428i	−0.996444	+	0.0842569i	$0.973148\pi$
$224$	1.63082	+	1.15871i	0.108964	+	0.0774193i
$225$	1.20163	+	0.0222272i	0.0801089	+	0.00148181i
$226$	−18.1689	−	16.9896i	−1.20858	−	1.13013i
$227$	13.4098	−	20.0692i	0.890040	−	1.33204i	−0.0527342	−	0.998609i	$-0.516794\pi$
$227$	13.4098	−	20.0692i	0.890040	−	1.33204i	0.942775	−	0.333431i	$-0.108206\pi$
$228$	13.1373	+	17.0638i	0.870041	+	1.13008i
$229$	3.01312	−	7.27431i	0.199113	−	0.480700i	−0.792512	−	0.609857i	$-0.791227\pi$
$229$	3.01312	−	7.27431i	0.199113	−	0.480700i	0.991624	+	0.129157i	$0.0412270\pi$
$230$	−2.89801	−	12.9211i	−0.191089	−	0.851995i
$231$	0.540753	+	0.361320i	0.0355790	+	0.0237731i
$232$	−9.59761	+	0.968734i	−0.630114	+	0.0636005i
$233$	3.18587	−	16.0164i	0.208713	−	1.04927i	−0.724315	−	0.689469i	$-0.757844\pi$
$233$	3.18587	−	16.0164i	0.208713	−	1.04927i	0.933028	−	0.359803i	$-0.117156\pi$
$234$	1.46126	+	0.907035i	0.0955254	+	0.0592947i
$235$	7.73666	+	5.27360i	0.504684	+	0.344012i
$236$	14.6720	−	16.7848i	0.955069	−	1.09260i
$237$	3.03574	+	3.03574i	0.197192	+	0.197192i
$238$	1.95709	−	0.649699i	0.126859	−	0.0421137i
$239$		−	21.3607i		−	1.38171i	−0.722995	−	0.690853i	$-0.757235\pi$
$239$		−	21.3607i		−	1.38171i	0.722995	−	0.690853i	$-0.242765\pi$
$240$	12.7142	+	9.87817i	0.820699	+	0.637633i
$241$	17.3503	+	3.45120i	1.11763	+	0.222311i	0.719144	−	0.694862i	$-0.244534\pi$
$241$	17.3503	+	3.45120i	1.11763	+	0.222311i	0.398490	+	0.917173i	$0.369534\pi$
$242$	13.7100	−	3.20838i	0.881310	−	0.206242i
$243$	−0.486188	+	2.44423i	−0.0311889	+	0.156797i
$244$	4.06985	−	3.13335i	0.260546	−	0.200592i
$245$	−3.13839	+	15.0491i	−0.200504	+	0.961449i
$246$	−20.7525	−	3.40906i	−1.32313	−	0.217353i
$247$	11.5816	+	27.9604i	0.736918	+	1.77908i
$248$	11.2589	−	13.7869i	0.714941	−	0.875468i
$249$	−7.75334	+	1.54224i	−0.491348	+	0.0977352i
$250$	14.6426	+	5.96610i	0.926079	+	0.377329i
$251$	−7.78734	+	7.78734i	−0.491532	+	0.491532i	−0.908789	−	0.417256i	$-0.862992\pi$
$251$	−7.78734	+	7.78734i	−0.491532	+	0.491532i	0.417256	+	0.908789i	$0.362992\pi$
$252$	0.0847684	−	0.147372i	0.00533991	−	0.00928354i
$253$	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	−0.556004	−	0.831179i	$-0.687666\pi$
$257$	−24.6382	−	10.2055i	−1.53689	−	0.636601i	−0.980887	+	0.194578i	$0.937666\pi$
$258$	11.2733	−	12.0558i	0.701844	−	0.750564i
$259$	−1.73689	+	1.73689i	−0.107925	+	0.107925i
$260$	13.6368	+	18.0556i	0.845720	+	1.11976i
$261$	0.159930	+	0.804025i	0.00989945	+	0.0497679i
$262$	−5.75209	−	12.6679i	−0.355365	−	0.782628i
$263$	−6.05054	−	14.6073i	−0.373092	−	0.900725i	−0.993223	−	0.116226i	$-0.962920\pi$
$263$	−6.05054	−	14.6073i	−0.373092	−	0.900725i	0.620130	−	0.784499i	$-0.287080\pi$
$264$	1.52194	+	4.97381i	0.0936689	+	0.306117i
$265$	−3.51692	+	2.30317i	−0.216043	+	0.141483i
$266$	2.72398	−	1.23687i	0.167018	−	0.0758373i
$267$	−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	$-0.905008\pi$
$269$	0.652091	−	3.27828i	0.0397587	−	0.199880i	0.995559	+	0.0941347i	$0.0300084\pi$
$270$	−8.40772	+	13.2696i	−0.511678	+	0.807563i
$271$		−	15.3023i		−	0.929549i	−0.885429	−	0.464775i	$-0.846135\pi$
$271$		−	15.3023i		−	0.929549i	0.885429	−	0.464775i	$-0.153865\pi$
$272$	15.4102	+	5.87586i	0.934381	+	0.356276i
$273$	2.27752	−	2.27752i	0.137842	−	0.137842i
$274$	17.8873	+	24.9192i	1.08061	+	1.50543i
$275$	2.75883	+	4.29892i	0.166364	+	0.259235i
$276$	−14.2837	−	4.82298i	−0.859778	−	0.290309i
$277$	26.9185	+	5.35442i	1.61737	+	0.321716i	0.919073	−	0.394088i	$-0.128940\pi$
$277$	26.9185	+	5.35442i	1.61737	+	0.321716i	0.698301	+	0.715804i	$0.253940\pi$
$278$	23.7029	+	8.89934i	1.42161	+	0.533747i
$279$	−1.25776	−	0.840409i	−0.0753002	−	0.0503140i
$280$	1.73862	−	1.40709i	0.103903	−	0.0840900i
$281$	2.90134	+	1.20178i	0.173080	+	0.0716919i	0.467541	−	0.883972i	$-0.345140\pi$
$281$	2.90134	+	1.20178i	0.173080	+	0.0716919i	−0.294461	+	0.955663i	$0.595140\pi$
$282$	9.70598	−	4.40716i	0.577983	−	0.262443i
$283$	3.63158	−	5.43504i	0.215875	−	0.323080i	−0.707689	−	0.706524i	$-0.750262\pi$
$283$	3.63158	−	5.43504i	0.215875	−	0.323080i	0.923564	+	0.383444i	$0.125262\pi$
$284$	−14.5143	−	8.34863i	−0.861263	−	0.495400i
$285$	22.3286	−	9.00779i	1.32263	−	0.533576i
$286$	0.245061	+	7.30567i	0.0144908	+	0.431993i
$287$	−1.11803	+	2.69916i	−0.0659951	+	0.159326i
$288$	1.27063	−	0.484091i	0.0748728	−	0.0285253i
$289$	14.2756	−	9.23072i	0.839743	−	0.542984i
$290$	−1.84658	+	10.6257i	−0.108435	+	0.623964i
$291$	−12.4805	−	30.1305i	−0.731618	−	1.76628i
$292$	−7.21724	−	4.15137i	−0.422357	−	0.242940i
$293$	7.83256			0.457583			0.228792	−	0.973475i	$-0.426523\pi$
$293$	7.83256			0.457583			0.228792	+	0.973475i	$0.426523\pi$
$294$	12.7835	+	11.9537i	0.745550	+	0.697156i
$295$	−13.6553	−	20.8514i	−0.795040	−	1.21402i
$296$	−19.5460	+	1.97288i	−1.13609	+	0.114671i
$297$	−4.68863	+	1.94209i	−0.272062	+	0.112692i
$298$	−6.42944	−	8.95701i	−0.372447	−	0.518865i
$299$	−17.6162	−	11.7708i	−1.01877	−	0.680720i
$300$	14.4641	−	10.7157i	0.835087	−	0.618670i
$301$	−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
$304$	23.1312	+	6.11808i	1.32667	+	0.350896i
$305$	−2.14843	−	5.32553i	−0.123018	−	0.304939i
$306$	0.371850	−	1.35135i	0.0212572	−	0.0772513i
$307$	−2.32774	+	2.32774i	−0.132851	+	0.132851i	−0.770405	−	0.637554i	$-0.779946\pi$
$307$	−2.32774	+	2.32774i	−0.132851	+	0.132851i	0.637554	+	0.770405i	$0.279946\pi$
$308$	0.720955	−	0.0484219i	0.0410802	−	0.00275909i
$309$	−23.6096	−	4.69624i	−1.34310	−	0.267160i
$310$	−11.4549	−	16.2738i	−0.650597	−	0.924288i
$311$	13.9606	+	20.8935i	0.791632	+	1.18476i	0.979277	+	0.202524i	$0.0649143\pi$
$311$	13.9606	+	20.8935i	0.791632	+	1.18476i	−0.187646	+	0.982237i	$0.560086\pi$
$312$	25.6300	−	2.58696i	1.45101	−	0.146458i
$313$	−1.85414	−	9.32139i	−0.104802	−	0.526876i	−0.997145	−	0.0755170i	$-0.975939\pi$
$313$	−1.85414	−	9.32139i	−0.104802	−	0.526876i	0.892342	−	0.451359i	$-0.149061\pi$
$314$	1.03691	−	6.31214i	0.0585162	−	0.356214i
$315$	−0.133158	−	0.135643i	−0.00750258	−	0.00764265i
$316$	4.73012	+	0.614972i	0.266090	+	0.0345949i
$317$	−24.2171	−	16.1813i	−1.36017	−	0.908835i	−0.360454	−	0.932777i	$-0.617378\pi$
$317$	−24.2171	−	16.1813i	−1.36017	−	0.908835i	−0.999713	+	0.0239418i	$0.992378\pi$
$318$	0.160456	+	4.78346i	0.00899794	+	0.268243i
$319$	−2.46369	+	2.46369i	−0.137940	+	0.137940i
$320$	17.8884	+	0.0788661i	0.999990	+	0.00440875i
$321$	3.92971	+	9.48716i	0.219335	+	0.529522i
$322$	−1.10452	+	1.77941i	−0.0615524	+	0.0991626i
$323$	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
$326$	−0.450349	−	13.4256i	−0.0249425	−	0.743576i
$327$	9.39811			0.519717
$328$	−20.5803	+	11.0645i	−1.13636	+	0.610934i
$329$	−0.288896	−	1.45238i	−0.0159274	−	0.0800722i
$330$	5.81368	−	0.141206i	0.320033	−	0.00777312i
$331$	1.82918	+	0.757669i	0.100541	+	0.0416453i	0.432387	−	0.901688i	$-0.357672\pi$
$331$	1.82918	+	0.757669i	0.100541	+	0.0416453i	−0.331846	+	0.943333i	$0.607672\pi$
$332$	−5.78044	+	6.61282i	−0.317243	+	0.362926i
$333$	0.325707	+	1.63744i	0.0178486	+	0.0897311i
$334$	17.5068	−	7.94924i	0.957928	−	0.434963i
$335$	13.4108	−	2.53889i	0.732711	−	0.138714i
$336$	−0.340518	−	2.52355i	−0.0185768	−	0.137671i
$337$	5.30570	−	3.54516i	0.289020	−	0.193117i	−0.402605	−	0.915374i	$-0.631895\pi$
$337$	5.30570	−	3.54516i	0.289020	−	0.193117i	0.691625	+	0.722257i	$0.256895\pi$
$338$	17.5813	+	2.88811i	0.956294	+	0.157093i
$339$			31.6622i			1.71966i
$340$	10.9664	−	14.8235i	0.594738	−	0.803920i
$341$		−	6.42922i		−	0.348162i
$342$	0.329606	−	2.00646i	0.0178230	−	0.108497i
$343$	4.07991	−	2.72611i	0.220295	−	0.147196i
$344$	1.75331	−	18.2543i	0.0945323	−	0.984208i
$345$	−9.49359	+	13.9276i	−0.511118	+	0.749837i
$346$	9.61017	+	21.1647i	0.516646	+	1.13782i
$347$	0.758191	+	3.81169i	0.0407018	+	0.204622i	0.995785	−	0.0917150i	$-0.0292349\pi$
$347$	0.758191	+	3.81169i	0.0407018	+	0.204622i	−0.955083	+	0.296337i	$0.904235\pi$
$348$	9.24454	+	8.08090i	0.495559	+	0.433182i
$349$	12.8030	+	5.30318i	0.685329	+	0.283873i	0.698053	−	0.716046i	$-0.254050\pi$
$349$	12.8030	+	5.30318i	0.685329	+	0.283873i	−0.0127234	+	0.999919i	$0.504050\pi$
$350$	−0.991598	−	2.29568i	−0.0530032	−	0.122709i
$351$	4.90333	+	24.6507i	0.261720	+	1.31576i
$352$	4.71103	+	3.34720i	0.251099	+	0.178407i
$353$	−4.28015			−0.227809			−0.113905	−	0.993492i	$-0.536336\pi$
$353$	−4.28015			−0.227809			−0.113905	+	0.993492i	$0.536336\pi$
$354$	−28.3606	+	0.951327i	−1.50735	+	0.0505625i
$355$	−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
$358$	19.0372	+	11.8168i	1.00615	+	0.624539i
$359$	12.8794	+	31.0937i	0.679750	+	1.64106i	0.764473	+	0.644656i	$0.222999\pi$
$359$	12.8794	+	31.0937i	0.679750	+	1.64106i	−0.0847229	+	0.996405i	$0.527001\pi$
$360$	−0.138674	−	1.51388i	−0.00730875	−	0.0797885i
$361$	11.8654	−	11.8654i	0.624494	−	0.624494i
$362$	31.3530	−	1.05171i	1.64788	−	0.0552764i
$363$	−14.9019	−	9.95715i	−0.782149	−	0.522615i
$364$	0.461375	−	3.54871i	0.0241826	−	0.186003i
$365$	−6.64287	+	6.52113i	−0.347704	+	0.341332i
$366$	−6.45135	−	1.05978i	−0.337217	−	0.0553955i
$367$	−3.96818	−	19.9494i	−0.207137	−	1.04135i	−0.934735	−	0.355346i	$-0.884363\pi$
$367$	−3.96818	−	19.9494i	−0.207137	−	1.04135i	0.727598	−	0.686004i	$-0.240637\pi$
$368$	−15.8438	+	5.43530i	−0.825913	+	0.283334i
$369$	1.10320	+	1.65106i	0.0574304	+	0.0859507i
$370$	−3.76066	+	21.6398i	−0.195508	+	1.12500i
$371$	0.652111	+	0.129713i	0.0338559	+	0.00673436i
$372$	−22.6061	+	1.51831i	−1.17207	+	0.0787205i
$373$	−19.9125	+	19.9125i	−1.03103	+	1.03103i	−0.0315254	+	0.999503i	$0.510036\pi$
$373$	−19.9125	+	19.9125i	−1.03103	+	1.03103i	−0.999503	+	0.0315254i	$0.989964\pi$
$374$	5.65354	−	1.87681i	0.292337	−	0.0970477i
$375$	−7.18305	−	18.8003i	−0.370931	−	0.970841i
$376$	5.55767	−	10.4585i	0.286615	−	0.539353i
$377$	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	$-0.214116\pi$
$379$	−1.80663	−	2.70381i	−0.0928001	−	0.138885i	−0.874965	+	0.484187i	$0.839116\pi$
$380$	13.5519	−	23.0641i	0.695196	−	1.18316i
$381$	7.10130	+	4.74494i	0.363811	+	0.243091i
$382$	−5.51709	+	3.96023i	−0.282279	+	0.202623i
$383$	−25.2025	+	10.4392i	−1.28779	+	0.533420i	−0.918326	−	0.395826i	$-0.870458\pi$
$383$	−25.2025	+	10.4392i	−1.28779	+	0.533420i	−0.369463	+	0.929245i	$0.620458\pi$
$384$	10.6567	−	17.3551i	0.543824	−	0.885651i
$385$	0.164928	−	0.790854i	0.00840550	−	0.0403057i
$386$	−3.64661	+	3.89975i	−0.185608	+	0.198492i
$387$	−1.55845			−0.0792202
$388$	−31.4093	−	18.0667i	−1.59457	−	0.917197i
$389$	5.83137	+	14.0782i	0.295662	+	0.713792i	0.999992	+	0.00391920i	$0.00124752\pi$
$389$	5.83137	+	14.0782i	0.295662	+	0.713792i	−0.704330	+	0.709873i	$0.748752\pi$
$390$	4.93121	−	28.3755i	0.249701	−	1.43685i
$391$	−5.13624	+	16.4840i	−0.259751	+	0.833631i
$392$	19.3562	+	1.85914i	0.977634	+	0.0939008i
$393$	−6.77693	+	16.3610i	−0.341851	+	0.825302i
$394$	25.3712	−	0.851050i	1.27818	−	0.0428753i
$395$	2.08631	−	4.90792i	0.104973	−	0.246944i
$396$	0.244874	−	0.425719i	0.0123054	−	0.0213932i
$397$	−3.04301	+	4.55419i	−0.152724	+	0.228568i	−0.899940	−	0.436013i	$-0.856390\pi$
$397$	−3.04301	+	4.55419i	−0.152724	+	0.228568i	0.747216	+	0.664581i	$0.231390\pi$
$398$	0.915108	+	2.01536i	0.0458702	+	0.101021i
$399$	−3.51809	−	1.45724i	−0.176125	−	0.0729533i
$400$	5.47075	−	19.2372i	0.273537	−	0.961861i
$401$	22.0024	+	14.7015i	1.09875	+	0.734159i	0.966400	−	0.257045i	$-0.0827488\pi$
$401$	22.0024	+	14.7015i	1.09875	+	0.734159i	0.132347	+	0.991203i	$0.457749\pi$
$402$	5.46196	−	14.5477i	0.272418	−	0.725571i
$403$	−31.2289	−	6.21181i	−1.55562	−	0.309432i
$404$	−1.97344	−	0.666345i	−0.0981824	−	0.0331519i
$405$	21.2307	−	4.01932i	1.05496	−	0.199722i
$406$	1.38569	−	0.994662i	0.0687705	−	0.0493642i
$407$	−5.01744	+	5.01744i	−0.248705	+	0.248705i
$408$	−7.93428	−	19.4355i	−0.392805	−	0.962199i
$409$			32.1531i			1.58987i	0.606697	+	0.794933i	$0.292494\pi$
$409$			32.1531i			1.58987i	−0.606697	+	0.794933i	$0.707506\pi$
$410$	5.71718	+	25.4907i	0.282351	+	1.25890i
$411$	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
$414$	0.588523	+	1.29612i	0.0289243	+	0.0637007i
$415$	5.37985	+	8.21497i	0.264087	+	0.403257i
$416$	20.8102	−	19.6490i	1.02031	−	0.963373i
$417$	−12.3328	−	29.7739i	−0.603938	−	1.45803i
$418$	7.86889	−	3.57300i	0.384880	−	0.174761i
$419$	5.12363	+	25.7582i	0.250306	+	1.25837i	0.877526	+	0.479530i	$0.159193\pi$
$419$	5.12363	+	25.7582i	0.250306	+	1.25837i	−0.627220	+	0.778842i	$0.715807\pi$
$420$	−2.81971	−	0.393145i	−0.137588	−	0.0191835i
$421$	−1.23168	+	1.23168i	−0.0600283	+	0.0600283i	−0.736484	−	0.676455i	$-0.763515\pi$
$421$	−1.23168	+	1.23168i	−0.0600283	+	0.0600283i	0.676455	+	0.736484i	$0.263515\pi$
$422$	−5.29170	−	4.94821i	−0.257596	−	0.240875i
$423$	−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
$428$	9.88981	+	5.68864i	0.478042	+	0.274971i
$429$	6.57917	−	6.57917i	0.317645	−	0.317645i
$430$	−19.1271	−	7.38387i	−0.922393	−	0.356082i
$431$	−35.3909	+	7.03969i	−1.70472	+	0.339090i	−0.948873	−	0.315658i	$-0.897775\pi$
$431$	−35.3909	+	7.03969i	−1.70472	+	0.339090i	−0.755847	+	0.654748i	$0.772775\pi$
$432$	17.8496	+	8.73095i	0.858787	+	0.420068i
$433$	1.61138	+	3.89022i	0.0774381	+	0.186952i	0.957858	−	0.287244i	$-0.0927389\pi$
$433$	1.61138	+	3.89022i	0.0774381	+	0.186952i	−0.880419	+	0.474196i	$0.842739\pi$
$434$	−0.510207	+	3.10586i	−0.0244907	+	0.149086i
$435$	11.4843	−	7.52089i	0.550630	−	0.360599i
$436$	8.27374	−	6.36989i	0.396240	−	0.305062i
$437$	−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	0.0367827	−	0.999323i	$-0.488289\pi$
$439$	−6.52998	−	1.29889i	−0.311659	−	0.0619928i	−0.348442	+	0.937330i	$0.613289\pi$
$440$	5.02244	−	4.06473i	0.239435	−	0.193779i
$441$		−	1.65251i		−	0.0786910i
$442$	−3.65396	−	29.2745i	−0.173801	−	1.39245i
$443$	−19.8973	−	19.8973i	−0.945348	−	0.945348i	0.0532342	−	0.998582i	$-0.483047\pi$
$443$	−19.8973	−	19.8973i	−0.945348	−	0.945348i	−0.998582	+	0.0532342i	$0.983047\pi$
$444$	18.8270	+	16.4572i	0.893489	+	0.781023i
$445$	5.48920	−	1.03919i	0.260213	−	0.0492625i
$446$	10.2281	−	16.4777i	0.484312	−	0.780240i
$447$	−2.73794	+	13.7645i	−0.129500	+	0.651040i
$448$	−2.01020	−	1.99084i	−0.0949731	−	0.0940584i
$449$	19.1197	+	12.7754i	0.902314	+	0.602907i	0.917831	−	0.396972i	$-0.129939\pi$
$449$	19.1197	+	12.7754i	0.902314	+	0.602907i	−0.0155162	+	0.999880i	$0.504939\pi$
$450$	−1.67180	−	0.306485i	−0.0788092	−	0.0144478i
$451$	−3.22970	+	7.79718i	−0.152080	+	0.367155i
$452$	21.4602	+	27.8742i	1.00940	+	1.31109i
$453$	19.6588	−	29.4215i	0.923653	−	1.38234i
$454$	−23.3143	+	24.9326i	−1.09419	+	1.17015i
$455$	−3.68210	−	1.56522i	−0.172619	−	0.0733787i
$456$	−14.4215	−	26.8244i	−0.675348	−	1.25617i
$457$	13.4112	−	32.3775i	0.627349	−	1.51455i	−0.215557	−	0.976491i	$-0.569157\pi$
$457$	13.4112	−	32.3775i	0.627349	−	1.51455i	0.842905	−	0.538062i	$-0.180843\pi$
$458$	−5.87243	+	9.46064i	−0.274401	+	0.442067i
$459$	18.1357	−	9.51884i	0.846504	−	0.444302i
$460$	1.08211	+	18.6959i	0.0504538	+	0.871703i
$461$	0.380963	+	0.919727i	0.0177432	+	0.0428360i	0.932503	−	0.361163i	$-0.117620\pi$
$461$	0.380963	+	0.919727i	0.0177432	+	0.0428360i	−0.914760	+	0.403999i	$0.867620\pi$
$462$	−0.671796	−	0.628190i	−0.0312548	−	0.0292260i
$463$			11.2982i			0.525071i	0.964922	+	0.262536i	$0.0845587\pi$
$463$			11.2982i			0.525071i	−0.964922	+	0.262536i	$0.915441\pi$
$464$	13.6156	+	0.848313i	0.632090	+	0.0393820i
$465$	−5.17144	+	24.7978i	−0.239820	+	1.14997i
$466$	−8.11757	+	21.6208i	−0.376039	+	1.00156i
$467$	6.50295	+	15.6995i	0.300920	+	0.726486i	0.999935	+	0.0113791i	$0.00362216\pi$
$467$	6.50295	+	15.6995i	0.300920	+	0.726486i	−0.699015	+	0.715107i	$0.746378\pi$
$468$	−1.83127	−	1.60076i	−0.0846503	−	0.0739951i
$469$	−1.79489	−	1.19930i	−0.0828801	−	0.0553787i
$470$	−9.58764	−	9.13295i	−0.442245	−	0.421271i
$471$	−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
$474$	−3.54048	−	4.93233i	−0.162620	−	0.226549i
$475$	−20.7536	−	21.5359i	−0.952241	−	0.988133i
$476$	−2.88008	+	0.458010i	−0.132008	+	0.0209929i
$477$	0.319547	−	0.319547i	0.0146311	−	0.0146311i
$478$	−4.89680	+	29.8090i	−0.223974	+	1.36343i
$479$	3.70087	−	18.6055i	0.169097	−	0.850109i	−0.799345	−	0.600872i	$-0.794820\pi$
$479$	3.70087	−	18.6055i	0.169097	−	0.850109i	0.968443	−	0.249237i	$-0.0801798\pi$
$480$	−15.4783	−	16.6997i	−0.706485	−	0.762235i
$481$	19.5236	+	29.2192i	0.890201	+	1.33228i
$482$	−23.4214	−	8.79363i	−1.06682	−	0.400539i
$483$	2.61459	−	0.520074i	0.118968	−	0.0236642i
$484$	−19.8679	+	1.33440i	−0.903086	+	0.0606545i
$485$	−28.9097	+	28.3799i	−1.31272	+	1.28866i
$486$	1.23880	−	3.29949i	0.0561933	−	0.149668i
$487$	8.48568	−	12.6997i	0.384523	−	0.575479i	−0.587833	−	0.808982i	$-0.700019\pi$
$487$	8.48568	−	12.6997i	0.384523	−	0.575479i	0.972356	+	0.233503i	$0.0750189\pi$
$488$	−6.39782	+	3.43963i	−0.289616	+	0.155705i
$489$	−12.0905	+	12.0905i	−0.546753	+	0.546753i
$490$	7.82955	−	20.2816i	0.353703	−	0.916231i
$491$	−28.8814	+	11.9631i	−1.30340	+	0.539886i	−0.922952	−	0.384916i	$-0.874230\pi$
$491$	−28.8814	+	11.9631i	−1.30340	+	0.539886i	−0.380449	+	0.924802i	$0.624230\pi$
$492$	28.1788	+	9.51474i	1.27040	+	0.428958i
$493$	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
$496$	−18.8725	+	16.6587i	−0.847398	+	0.747998i
$497$	2.96077			0.132809
$498$	11.1734	−	0.374801i	0.500693	−	0.0167952i
$499$	−6.89612	+	1.37172i	−0.308713	+	0.0614068i	−0.347016	−	0.937859i	$-0.612805\pi$
$499$	−6.89612	+	1.37172i	−0.308713	+	0.0614068i	0.0383027	+	0.999266i	$0.487805\pi$
$500$	−19.0662	−	11.6825i	−0.852666	−	0.522456i
$501$	−22.6104	−	9.36555i	−1.01016	−	0.418422i
$502$	12.6525	−	9.08211i	0.564709	−	0.405354i
$503$	−18.0933	+	3.59898i	−0.806741	+	0.160471i	−0.581198	−	0.813762i	$-0.697416\pi$
$503$	−18.0933	+	3.59898i	−0.806741	+	0.160471i	−0.225543	+	0.974233i	$0.572416\pi$
$504$	−0.152079	+	0.186226i	−0.00677414	+	0.00829516i
$505$	−1.31164	+	1.92424i	−0.0583672	+	0.0856277i
$506$	−3.19067	+	5.14025i	−0.141843	+	0.228512i
$507$	−12.5995	−	18.8565i	−0.559563	−	0.837445i
$508$	9.46776	−	0.635888i	0.420064	−	0.0282130i
$509$			0.792404i			0.0351227i	0.999846	+	0.0175613i	$0.00559024\pi$
$509$			0.792404i			0.0351227i	−0.999846	+	0.0175613i	$0.994410\pi$
$510$	−23.3156	+	2.69146i	−1.03243	+	0.119180i
$511$	1.47225			0.0651283
$512$	−2.38126	−	22.5018i	−0.105238	−	0.994447i
$513$	24.7068	−	16.5085i	1.09083	−	0.728870i
$514$	32.0434	+	19.8900i	1.41337	+	0.877311i
$515$	5.56216	+	29.3803i	0.245098	+	1.29465i
$516$	−18.4957	+	14.2397i	−0.814228	+	0.626868i
$517$	−0.834546	−	4.19555i	−0.0367033	−	0.184520i
$518$	2.82203	−	2.02568i	0.123993	−	0.0890033i
$519$	11.3224	−	27.3347i	0.496999	−	1.19986i
$520$	−14.8912	−	28.3230i	−0.653022	−	1.24204i
$521$	2.06912	+	10.4022i	0.0906497	+	0.455727i	0.999274	+	0.0381112i	$0.0121341\pi$
$521$	2.06912	+	10.4022i	0.0906497	+	0.455727i	−0.908624	+	0.417616i	$0.862866\pi$
$522$	−0.0388670	−	1.15869i	−0.00170116	−	0.0507144i
$523$		−	20.3746i		−	0.890921i	−0.895302	−	0.445460i	$-0.853040\pi$
$523$		−	20.3746i		−	0.890921i	0.895302	−	0.445460i	$-0.146960\pi$
$524$	5.12305	+	18.9969i	0.223801	+	0.829882i
$525$	−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
$528$	−0.983667	−	7.28989i	−0.0428086	−	0.317252i
$529$	2.09119	+	5.04859i	0.0909214	+	0.219504i
$530$	5.43588	−	2.40787i	0.236120	−	0.104591i
$531$	1.89456	+	1.89456i	0.0822170	+	0.0822170i
$532$	−4.08489	+	1.10161i	−0.177102	+	0.0477608i
$533$	34.7531	+	23.2212i	1.50532	+	1.00582i
$534$	2.23564	−	5.95451i	0.0967456	−	0.257677i
$535$	9.10276	−	8.93594i	0.393547	−	0.386334i
$536$	−5.05167	−	16.5092i	−0.218199	−	0.713090i
$537$	−5.56407	−	27.9725i	−0.240108	−	1.20710i
$538$	−1.66152	+	4.42538i	−0.0716334	+	0.190792i
$539$	5.83979	−	3.90202i	0.251537	−	0.168072i
$540$	14.7750	−	16.5905i	0.635816	−	0.713940i
$541$	20.2680	+	4.03156i	0.871390	+	0.173330i	0.610479	−	0.792032i	$-0.290977\pi$
$541$	20.2680	+	4.03156i	0.871390	+	0.173330i	0.260911	+	0.965363i	$0.415977\pi$
$542$	−3.50796	+	21.3545i	−0.150680	+	0.917255i
$543$	−28.2352	−	28.2352i	−1.21169	−	1.21169i
$544$	−20.1581	−	11.7325i	−0.864271	−	0.503027i
$545$	−4.36761	−	10.8264i	−0.187088	−	0.463754i
$546$	−3.70041	+	2.65620i	−0.158363	+	0.113675i
$547$	−29.8328	+	19.9336i	−1.27556	+	0.852301i	−0.994226	−	0.107310i	$-0.965776\pi$
$547$	−29.8328	+	19.9336i	−1.27556	+	0.852301i	−0.281332	+	0.959610i	$0.590776\pi$
$548$	−19.2493	−	38.8756i	−0.822291	−	1.66068i
$549$	0.342954	+	0.513266i	0.0146369	+	0.0219057i
$550$	−2.86447	−	6.63163i	−0.122142	−	0.282773i
$551$	11.3339	−	16.9624i	0.482841	−	0.722622i
$552$	18.8274	+	10.0050i	0.801347	+	0.425840i
$553$	−0.779240	+	0.322772i	−0.0331366	+	0.0137256i
$554$	−36.3375	−	13.6430i	−1.54383	−	0.579637i
$555$	23.3884	−	15.3167i	0.992782	−	0.650157i
$556$	−31.0376	−	17.8529i	−1.31629	−	0.757130i
$557$	1.96658			0.0833268			0.0416634	−	0.999132i	$-0.486734\pi$
$557$	1.96658			0.0833268			0.0416634	+	0.999132i	$0.486734\pi$
$558$	1.56256	+	1.46113i	0.0661484	+	0.0618547i
$559$	−30.3066	+	12.5534i	−1.28183	+	0.530953i
$560$	−2.74883	+	1.56505i	−0.116159	+	0.0661353i
$561$	−6.65993	−	3.62456i	−0.281182	−	0.153029i
$562$	−3.77335	−	2.34220i	−0.159169	−	0.0987999i
$563$	−23.2279	−	9.62130i	−0.978938	−	0.405489i	−0.164906	−	0.986309i	$-0.552732\pi$
$563$	−23.2279	−	9.62130i	−0.978938	−	0.405489i	−0.814032	+	0.580820i	$0.802732\pi$
$564$	−14.5551	+	3.92520i	−0.612880	+	0.165281i
$565$	36.4743	−	14.7145i	1.53448	−	0.619042i
$566$	−6.31385	+	6.75214i	−0.265391	+	0.283813i
$567$	−2.84149	−	1.89862i	−0.119331	−	0.0797347i
$568$	18.3409	+	14.9779i	0.769568	+	0.628458i
$569$	−35.4285	−	14.6750i	−1.48524	−	0.615206i	−0.514964	−	0.857212i	$-0.672195\pi$
$569$	−35.4285	−	14.6750i	−1.48524	−	0.615206i	−0.970275	+	0.242005i	$0.922195\pi$
$570$	−33.2247	+	7.45178i	−1.39163	+	0.312121i
$571$	0.0543284	−	0.0813082i	0.00227357	−	0.00340264i	−0.830331	−	0.557270i	$-0.811849\pi$
$571$	0.0543284	−	0.0813082i	0.00227357	−	0.00340264i	0.832605	+	0.553868i	$0.186849\pi$
$572$	1.33279	−	10.2513i	0.0557268	−	0.428629i
$573$	8.47830	+	1.68644i	0.354186	+	0.0704520i
$574$	2.17899	−	3.51040i	0.0909491	−	0.146521i
$575$	20.4563	+	4.46383i	0.853087	+	0.186154i
$576$	−1.88416	+	0.384269i	−0.0785065	+	0.0160112i
$577$	−6.13086	+	6.13086i	−0.255231	+	0.255231i	−0.823111	−	0.567880i	$-0.807764\pi$
$577$	−6.13086	+	6.13086i	−0.255231	+	0.255231i	0.567880	+	0.823111i	$0.307764\pi$
$578$	−22.0379	+	9.60896i	−0.916655	+	0.399680i
$579$	6.79593			0.282429
$580$	5.01280	−	14.4050i	0.208145	−	0.598134i
$581$	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
$584$	9.12005	+	7.44778i	0.377390	+	0.308191i
$585$	−2.27495	+	1.48983i	−0.0940575	+	0.0615967i
$586$	−10.9304	−	1.79556i	−0.451531	−	0.0741741i
$587$	−6.59645	+	2.73234i	−0.272265	+	0.112776i	−0.514639	−	0.857407i	$-0.672074\pi$
$587$	−6.59645	+	2.73234i	−0.272265	+	0.112776i	0.242374	+	0.970183i	$0.422074\pi$
$588$	−15.0992	−	19.6121i	−0.622681	−	0.808789i
$589$	7.34400	+	36.9208i	0.302604	+	1.52129i
$590$	14.2760	+	32.2287i	0.587733	+	1.32684i
$591$	−22.8482	−	22.8482i	−0.939849	−	0.939849i
$592$	27.7290	+	1.72763i	1.13965	+	0.0710054i
$593$	7.30594	+	3.02622i	0.300019	+	0.124272i	0.527615	−	0.849484i	$-0.323087\pi$
$593$	7.30594	+	3.02622i	0.300019	+	0.124272i	−0.227596	+	0.973756i	$0.573087\pi$
$594$	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
$598$	21.8852	+	20.4646i	0.894951	+	0.836860i
$599$	5.10336	+	5.10336i	0.208518	+	0.208518i	0.803637	−	0.595120i	$-0.202895\pi$
$599$	5.10336	+	5.10336i	0.208518	+	0.208518i	−0.595120	+	0.803637i	$0.702895\pi$
$600$	−22.6413	+	11.6380i	−0.924329	+	0.475120i
$601$	10.7784	−	2.14397i	0.439662	−	0.0874542i	0.0297041	−	0.999559i	$-0.490543\pi$
$601$	10.7784	−	2.14397i	0.439662	−	0.0874542i	0.409958	+	0.912105i	$0.365543\pi$
$602$	1.34066	+	2.95256i	0.0546411	+	0.120337i
$603$	−1.35553	+	0.561478i	−0.0552014	+	0.0228651i
$604$	−2.63456	−	39.2261i	−0.107199	−	1.59609i
$605$	−4.54504	+	21.7941i	−0.184782	+	0.886058i
$606$	1.09614	+	2.41405i	0.0445276	+	0.0980640i
$607$	7.49089	+	1.49003i	0.304046	+	0.0604785i	0.344755	−	0.938693i	$-0.387962\pi$
$607$	7.49089	+	1.49003i	0.304046	+	0.0604785i	−0.0407096	+	0.999171i	$0.512962\pi$
$608$	−30.8773	−	13.8405i	−1.25224	−	0.561307i
$609$	−2.12943	−	0.423570i	−0.0862890	−	0.0171639i
$610$	1.77731	+	7.92434i	0.0719610	+	0.320847i
$611$	−21.1855			−0.857075
$612$	−0.828707	+	1.80057i	−0.0334985	+	0.0727838i
$613$	1.98632	+	1.98632i	0.0802268	+	0.0802268i	0.746081	−	0.665855i	$-0.231933\pi$
$613$	1.98632	+	1.98632i	0.0802268	+	0.0802268i	−0.665855	+	0.746081i	$0.731933\pi$
$614$	3.78200	−	2.71476i	0.152629	−	0.109559i
$615$	18.7289	−	27.4763i	0.755222	−	1.10795i
$616$	−1.01720	−	0.0977012i	−0.0409842	−	0.00393649i
$617$	1.29586	−	6.51473i	0.0521694	−	0.262273i	−0.945894	−	0.324475i	$-0.894812\pi$
$617$	1.29586	−	6.51473i	0.0521694	−	0.262273i	0.998064	+	0.0622021i	$0.0198123\pi$
$618$	31.8708	+	11.9660i	1.28203	+	0.481343i
$619$	0.230669	−	0.345220i	0.00927135	−	0.0138756i	−0.826805	−	0.562489i	$-0.809844\pi$
$619$	0.230669	−	0.345220i	0.00927135	−	0.0138756i	0.836076	+	0.548613i	$0.184844\pi$
$620$	12.2548	+	25.3362i	0.492166	+	1.01753i
$621$	−7.96061	+	19.2186i	−0.319448	+	0.771217i
$622$	−14.6924	−	32.3574i	−0.589112	−	1.29741i
$623$	−0.734666	−	0.490888i	−0.0294338	−	0.0196670i
$624$	−36.3599	−	2.26538i	−1.45556	−	0.0906877i
$625$	−18.3193	+	17.0118i	−0.732773	+	0.680473i
$626$	0.450601	+	13.4331i	0.0180096	+	0.536897i
$627$	−10.1629	−	4.20960i	−0.405866	−	0.168115i
$628$	−2.89403	+	8.57094i	−0.115485	+	0.342018i
$629$	18.3338	−	21.9999i	0.731017	−	0.877192i
$630$	0.154727	+	0.219817i	0.00616449	+	0.00875773i
$631$	37.8119	−	15.6622i	1.50527	−	0.623502i	0.530692	−	0.847565i	$-0.321932\pi$
$631$	37.8119	−	15.6622i	1.50527	−	0.623502i	0.974575	+	0.224063i	$0.0719321\pi$
$632$	−6.45995	−	1.94255i	−0.256963	−	0.0772705i
$633$			9.22162i			0.366527i
$634$	30.0857	+	28.1328i	1.19486	+	1.11730i
$635$	2.16587	−	10.3857i	0.0859500	−	0.412143i
$636$	0.872659	−	6.71215i	0.0346032	−	0.266154i
$637$	−13.3111	−	32.1359i	−0.527406	−	1.27327i
$638$	4.00289	−	2.87332i	0.158476	−	0.113756i
$639$	1.11801	−	1.67322i	0.0442278	−	0.0661916i
$640$	−24.9453	−	4.21085i	−0.986050	−	0.166449i
$641$	−32.6725	+	21.8311i	−1.29049	+	0.862275i	−0.995641	−	0.0932706i	$-0.970268\pi$
$641$	−32.6725	+	21.8311i	−1.29049	+	0.862275i	−0.294844	+	0.955545i	$0.595268\pi$
$642$	−3.30908	−	14.1403i	−0.130599	−	0.558073i
$643$	6.19256	−	4.13774i	0.244211	−	0.163176i	−0.427441	−	0.904043i	$-0.640585\pi$
$643$	6.19256	−	4.13774i	0.244211	−	0.163176i	0.671652	+	0.740867i	$0.265585\pi$
$644$	1.94928	−	2.22998i	0.0768125	−	0.0878734i
$645$	9.76366	+	24.2022i	0.384444	+	0.952960i
$646$	−30.3225	+	17.2358i	−1.19302	+	0.678135i
$647$	−35.2785	−	35.2785i	−1.38694	−	1.38694i	−0.831670	−	0.555271i	$-0.812615\pi$
$647$	−35.2785	−	35.2785i	−1.38694	−	1.38694i	−0.555271	−	0.831670i	$-0.687385\pi$
$648$	−7.99732	−	26.1358i	−0.314165	−	1.02671i
$649$	−2.22160	+	11.1687i	−0.0872053	+	0.438411i
$650$	−34.9797	+	7.50634i	−1.37202	+	0.294423i
$651$	3.33114	−	2.22580i	0.130558	−	0.0872358i
$652$	−2.44927	+	18.8388i	−0.0959208	+	0.737785i
$653$	36.7982	−	7.31962i	1.44003	−	0.286439i	0.587543	−	0.809193i	$-0.300095\pi$
$653$	36.7982	−	7.31962i	1.44003	−	0.286439i	0.852483	+	0.522754i	$0.175095\pi$
$654$	−13.1152	−	2.15446i	−0.512843	−	0.0842459i
$655$	21.9970	+	0.203427i	0.859493	+	0.00794854i
$656$	31.2564	−	10.7227i	1.22036	−	0.418651i
$657$	0.555932	−	0.832011i	0.0216890	−	0.0324599i
$658$	0.0702088	+	2.09304i	0.00273702	+	0.0815951i
$659$	23.2005	+	23.2005i	0.903762	+	0.903762i	0.995759	−	0.0919975i	$-0.0293252\pi$
$659$	23.2005	+	23.2005i	0.903762	+	0.903762i	−0.0919975	+	0.995759i	$0.529325\pi$
$660$	−8.14542	−	1.13570i	−0.317060	−	0.0442069i
$661$	34.8891	−	14.4515i	1.35703	−	0.562100i	0.418789	−	0.908084i	$-0.362455\pi$
$661$	34.8891	−	14.4515i	1.35703	−	0.562100i	0.938240	+	0.345984i	$0.112455\pi$
$662$	−2.37894	−	1.47666i	−0.0924602	−	0.0573921i
$663$	−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
$666$	−0.0791547	−	2.35973i	−0.00306718	−	0.0914376i
$667$			14.2816i			0.552987i
$668$	−26.2532	+	7.07993i	−1.01577	+	0.273931i
$669$	−24.2116	+	4.81598i	−0.936074	+	0.186197i
$670$	−19.2970	+	0.468694i	−0.745506	+	0.0181072i
$671$	−1.00402	+	2.42392i	−0.0387598	+	0.0935743i
$672$	−0.103313	+	3.59970i	−0.00398538	+	0.138862i
$673$	2.09188	−	0.416101i	0.0806360	−	0.0160395i	−0.154607	−	0.987976i	$-0.549411\pi$
$673$	2.09188	−	0.416101i	0.0806360	−	0.0160395i	0.235243	+	0.971936i	$0.424411\pi$
$674$	−8.21686	+	3.73100i	−0.316502	+	0.143713i
$675$	−13.4150	−	20.9038i	−0.516344	−	0.804588i
$676$	−23.8727	−	8.06078i	−0.918182	−	0.310030i
$677$	9.04907	+	13.5429i	0.347784	+	0.520496i	0.963584	−	0.267407i	$-0.0861669\pi$
$677$	9.04907	+	13.5429i	0.347784	+	0.520496i	−0.615799	+	0.787903i	$0.711167\pi$
$678$	7.25837	−	44.1850i	0.278756	−	1.69691i
$679$	6.40719			0.245885
$680$	−18.7020	+	18.1724i	−0.717187	+	0.696881i
$681$	43.4491			1.66497
$682$	−1.47386	+	8.97203i	−0.0564369	+	0.343557i
$683$	9.84426	+	14.7330i	0.376680	+	0.563741i	0.970574	−	0.240802i	$-0.0774103\pi$
$683$	9.84426	+	14.7330i	0.376680	+	0.563741i	−0.593894	+	0.804543i	$0.702410\pi$
$684$	−0.919936	+	2.72447i	−0.0351746	+	0.104173i
$685$	−47.6542	+	9.02171i	−1.82077	+	0.344702i
$686$	−6.31850	+	2.86902i	−0.241241	+	0.109540i
$687$	13.9011	−	2.76509i	0.530358	−	0.105495i
$688$	−6.63146	+	25.0722i	−0.252822	+	0.955868i
$689$	3.64016	−	8.78813i	0.138679	−	0.334801i
$690$	16.4412	−	17.2598i	0.625906	−	0.657068i
$691$	48.9321	−	9.73319i	1.86146	−	0.370268i	0.869204	−	0.494453i	$-0.164632\pi$
$691$	48.9321	−	9.73319i	1.86146	−	0.370268i	0.992259	+	0.124185i	$0.0396316\pi$
$692$	−8.55922	−	31.7386i	−0.325373	−	1.20652i
$693$			0.0868424i			0.00329887i
$694$	−0.184259	−	5.49305i	−0.00699437	−	0.208514i
$695$	−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
$698$	−16.6510	−	10.3356i	−0.630250	−	0.391210i
$699$	27.1584	−	11.2494i	1.02723	−	0.425491i
$700$	0.857515	+	3.43096i	0.0324110	+	0.129678i
$701$	10.0358	+	10.0358i	0.379046	+	0.379046i	0.870758	−	0.491712i	$-0.163629\pi$
$701$	10.0358	+	10.0358i	0.379046	+	0.379046i	−0.491712	+	0.870758i	$0.663629\pi$
$702$	−1.19163	−	35.5243i	−0.0449751	−	1.34078i
$703$	23.0821	−	34.5448i	0.870558	−	1.30288i
$704$	−5.80696	−	5.75103i	−0.218858	−	0.216750i
$705$	−0.155862	+	16.8537i	−0.00587012	+	0.634748i
$706$	5.97299	+	0.981196i	0.224796	+	0.0369278i
$707$	0.361232	−	0.0718536i	0.0135855	−	0.00270233i
$708$	39.7956	+	5.17390i	1.49561	+	0.194447i
$709$	11.3757	−	7.60103i	0.427225	−	0.285463i	−0.323310	−	0.946293i	$-0.604796\pi$
$709$	11.3757	−	7.60103i	0.427225	−	0.285463i	0.750535	+	0.660830i	$0.229796\pi$
$710$	21.6493	−	15.2387i	0.812482	−	0.571899i
$711$	−0.111839	+	0.562254i	−0.00419430	+	0.0210862i
$712$	−2.06770	−	6.75740i	−0.0774905	−	0.253244i
$713$	−18.6346	−	18.6346i	−0.697870	−	0.697870i
$714$	2.92968	+	2.27949i	0.109640	+	0.0853076i
$715$	−10.6366	−	4.52152i	−0.397787	−	0.169095i
$716$	−23.8577	−	20.8547i	−0.891604	−	0.779375i
$717$	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	0.0486830	−	0.998814i	$-0.484498\pi$
$719$	26.5486	−	17.7392i	0.990097	−	0.661562i	0.941414	+	0.337252i	$0.109498\pi$
$720$	−0.153527	+	2.14443i	−0.00572161	+	0.0799180i
$721$	2.62742	−	3.93222i	0.0978503	−	0.146443i
$722$	−19.2783	+	13.8382i	−0.717465	+	0.515005i
$723$	12.1863	+	29.4203i	0.453212	+	1.09415i
$724$	−43.9946	−	5.71982i	−1.63505	−	0.212575i
$725$	−14.0010	−	9.73449i	−0.519986	−	0.361530i
$726$	18.5132	+	17.3115i	0.687089	+	0.642489i
$727$			33.7644i			1.25225i	0.779722	+	0.626125i	$0.215360\pi$
$727$			33.7644i			1.25225i	−0.779722	+	0.626125i	$0.784640\pi$
$728$	−1.45737	+	4.84649i	−0.0540138	+	0.179623i
$729$	22.6387	−	9.37724i	0.838469	−	0.347305i
$730$	10.7651	−	7.57747i	0.398435	−	0.280455i
$731$	16.8028	+	20.7916i	0.621475	+	0.769007i
$732$	8.75997	+	2.95786i	0.323778	+	0.109326i
$733$	40.1465	+	16.6292i	1.48285	+	0.614215i	0.969746	−	0.244115i	$-0.0784973\pi$
$733$	40.1465	+	16.6292i	1.48285	+	0.614215i	0.513099	+	0.858329i	$0.328497\pi$
$734$	0.964364	+	28.7492i	0.0355953	+	1.06115i
$735$	−25.6630	+	10.3530i	−0.946595	+	0.381876i
$736$	23.3561	−	3.95293i	0.860918	−	0.145707i
$737$	−5.18496	−	3.46448i	−0.190991	−	0.127616i
$738$	−1.16103	−	2.55697i	−0.0427383	−	0.0941234i
$739$	−15.4365	+	37.2670i	−0.567840	+	1.37089i	0.335531	+	0.942029i	$0.391084\pi$
$739$	−15.4365	+	37.2670i	−0.567840	+	1.37089i	−0.903372	+	0.428859i	$0.858916\pi$
$740$	10.2088	−	29.3365i	0.375284	−	1.07843i
$741$	−30.2666	+	45.2972i	−1.11187	+	1.66404i
$742$	−0.880292	−	0.330508i	−0.0323165	−	0.0121333i
$743$	0.299221	−	1.50429i	0.0109774	−	0.0551869i	−0.974908	−	0.222607i	$-0.928543\pi$
$743$	0.299221	−	1.50429i	0.0109774	−	0.0551869i	0.985886	+	0.167420i	$0.0535435\pi$
$744$	31.8951	+	3.06349i	1.16933	+	0.112313i
$745$	17.1289	−	3.24277i	0.627554	−	0.118806i
$746$	32.3528	−	23.2232i	1.18452	−	0.850263i
$747$	−0.746413	−	0.746413i	−0.0273098	−	0.0273098i
$748$	−8.31981	+	1.32307i	−0.304202	+	0.0483764i
$749$	−2.01742			−0.0737151
$750$	5.71417	+	27.8826i	0.208652	+	1.01813i
$751$	−10.5220	−	2.09295i	−0.383953	−	0.0763729i	−0.000659731	−	1.00000i	$-0.500210\pi$
$751$	−10.5220	−	2.09295i	−0.383953	−	0.0763729i	−0.383293	+	0.923627i	$0.625210\pi$
$752$	−10.1533	+	13.3208i	−0.370253	+	0.485760i
$753$	−19.4435	−	3.86756i	−0.708561	−	0.140942i
$754$	−10.0892	−	22.2196i	−0.367426	−	0.809189i
$755$	−43.0291	−	8.97347i	−1.56599	−	0.326578i
$756$	−3.50570	+	0.235455i	−0.127501	+	0.00856342i
$757$	36.0970	−	14.9519i	1.31197	−	0.543436i	0.386511	−	0.922285i	$-0.373680\pi$
$757$	36.0970	−	14.9519i	1.31197	−	0.543436i	0.925458	+	0.378849i	$0.123680\pi$
$758$	1.90133	+	4.18734i	0.0690595	+	0.152091i
$759$	7.55287	−	1.50236i	0.274152	−	0.0545322i
$760$	−24.1991	+	29.0794i	−0.877792	+	1.05482i
$761$	−2.66407	−	2.66407i	−0.0965724	−	0.0965724i	0.657170	−	0.753742i	$-0.271753\pi$
$761$	−2.66407	−	2.66407i	−0.0965724	−	0.0965724i	−0.753742	+	0.657170i	$0.771753\pi$
$762$	−8.82219	−	8.24953i	−0.319594	−	0.298849i
$763$	−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
$768$	−18.8501	+	21.7763i	−0.680196	+	0.785784i
$769$	−8.99709	−	8.99709i	−0.324443	−	0.324443i	0.526026	−	0.850469i	$-0.323682\pi$
$769$	−8.99709	−	8.99709i	−0.324443	−	0.324443i	−0.850469	+	0.526026i	$0.823682\pi$
$770$	−0.411457	+	1.06584i	−0.0148279	+	0.0384101i
$771$	−9.36542	−	47.0831i	−0.337287	−	1.69566i
$772$	5.98288	−	4.60617i	0.215328	−	0.165780i
$773$	−38.2375	+	15.8385i	−1.37531	+	0.569671i	−0.943223	−	0.332161i	$-0.892222\pi$
$773$	−38.2375	+	15.8385i	−1.37531	+	0.569671i	−0.432086	+	0.901833i	$0.642222\pi$
$774$	2.17483	+	0.357264i	0.0781725	+	0.0128416i
$775$	30.9699	−	5.56696i	1.11247	−	0.199971i
$776$	39.6903	+	32.4126i	1.42480	+	1.16354i
$777$	−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
$780$	−13.3864	+	38.4678i	−0.479312	+	1.37737i
$781$	8.55289			0.306047
$782$	10.9465	−	21.8261i	0.391447	−	0.780500i
$783$	11.9799	−	11.9799i	0.428126	−	0.428126i
$784$	−26.5855	−	7.03173i	−0.949483	−	0.251133i
$785$	8.35727	+	5.69664i	0.298284	+	0.203322i
$786$	13.2079	−	21.2783i	0.471111	−	0.758972i
$787$	29.4996	+	5.86784i	1.05155	+	0.209166i	0.690464	−	0.723367i	$-0.257406\pi$
$787$	29.4996	+	5.86784i	1.05155	+	0.209166i	0.361085	+	0.932533i	$0.382406\pi$
$788$	−35.6008	−	4.62853i	−1.26823	−	0.164884i
$789$	15.8121	−	23.6645i	0.562927	−	0.842480i
$790$	−4.03657	+	6.37077i	−0.143615	+	0.226662i
$791$	−5.74690	−	2.38044i	−0.204336	−	0.0846388i
$792$	−0.439318	+	0.537959i	−0.0156105	+	0.0191155i
$793$	10.8037	+	7.21882i	0.383652	+	0.256348i
$794$	5.29057	−	5.65783i	0.187755	−	0.200789i
$795$	−6.96444	−	2.96051i	−0.247003	−	0.104999i
$796$	−0.815033	−	3.02224i	−0.0288881	−	0.107120i
$797$	6.62238	+	2.74308i	0.234577	+	0.0971649i	0.496876	−	0.867822i	$-0.334481\pi$
$797$	6.62238	+	2.74308i	0.234577	+	0.0971649i	−0.262299	+	0.964987i	$0.584481\pi$
$798$	4.57547	+	2.84010i	0.161970	+	0.100538i
$799$	4.88709	+	16.5585i	0.172893	+	0.585797i
$800$	−12.0445	+	25.5916i	−0.425837	+	0.904800i
$801$	−0.554832	+	0.229819i	−0.0196040	+	0.00812026i
$802$	−27.3343	−	25.5600i	−0.965208	−	0.902556i
$803$	4.25294			0.150083
$804$	−10.9572	+	19.0493i	−0.386430	+	0.671816i
$805$	−1.81420	−	2.77026i	−0.0639420	−	0.0976387i
$806$	42.1562	+	15.8277i	1.48489	+	0.557506i
$807$	5.55885	−	2.30255i	0.195681	−	0.0810536i
$808$	2.60120	+	1.38229i	0.0915100	+	0.0486288i
$809$	−4.06234	+	6.07972i	−0.142824	+	0.213752i	−0.895984	−	0.444086i	$-0.853529\pi$
$809$	−4.06234	+	6.07972i	−0.142824	+	0.213752i	0.753160	+	0.657837i	$0.228529\pi$
$810$	−30.5491	+	0.741992i	−1.07339	+	0.0260710i
$811$	−4.28040	−	6.40607i	−0.150305	−	0.224947i	0.748675	−	0.662937i	$-0.230690\pi$
$811$	−4.28040	−	6.40607i	−0.150305	−	0.224947i	−0.898980	+	0.437990i	$0.855690\pi$
$812$	−2.16176	+	1.07040i	−0.0758629	+	0.0375637i
$813$	22.9034	−	15.3036i	0.803259	−	0.536720i
$814$	8.15210	−	5.85167i	0.285731	−	0.205101i
$815$	19.5469	+	8.30920i	0.684699	+	0.291058i
$816$	6.61691	+	28.9413i	0.231638	+	1.01315i
$817$	27.4234	+	27.4234i	0.959424	+	0.959424i
$818$	7.37088	−	44.8699i	0.257717	−	1.56884i
$819$	0.421823	+	0.0839058i	0.0147397	+	0.00293191i
$820$	−2.13479	−	36.8832i	−0.0745500	−	1.28802i
$821$	31.6365	−	21.1388i	1.10412	−	0.737749i	0.136621	−	0.990623i	$-0.456376\pi$
$821$	31.6365	−	21.1388i	1.10412	−	0.737749i	0.967499	+	0.252874i	$0.0813758\pi$
$822$	−19.4086	+	51.6938i	−0.676952	+	1.80303i
$823$	2.85905	+	14.3734i	0.0996602	+	0.501026i	0.998083	+	0.0618938i	$0.0197140\pi$
$823$	2.85905	+	14.3734i	0.0996602	+	0.501026i	−0.898422	+	0.439132i	$0.855286\pi$
$824$	36.1682	−	11.0671i	1.25998	−	0.385542i
$825$	−3.67526	+	8.42850i	−0.127956	+	0.293443i
$826$	1.95955	−	5.21915i	0.0681813	−	0.181597i
$827$	−41.8950	−	27.9933i	−1.45683	−	0.973423i	−0.996315	−	0.0857715i	$-0.972665\pi$
$827$	−41.8950	−	27.9933i	−1.45683	−	0.973423i	−0.460516	−	0.887652i	$-0.652335\pi$
$828$	−0.524164	−	1.94366i	−0.0182159	−	0.0675468i
$829$	−14.6798	−	14.6798i	−0.509850	−	0.509850i	0.404630	−	0.914480i	$-0.367400\pi$
$829$	−14.6798	−	14.6798i	−0.509850	−	0.509850i	−0.914480	+	0.404630i	$0.867400\pi$
$830$	−5.62441	−	12.6974i	−0.195226	−	0.440732i
$831$	18.9066	+	45.6445i	0.655862	+	1.58339i
$832$	−33.5453	+	22.6498i	−1.16297	+	0.785241i
$833$	−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
$836$	−11.8002	+	3.18226i	−0.408118	+	0.110061i
$837$			31.2625i			1.08059i
$838$	−1.24517	−	37.1204i	−0.0430136	−	1.28230i
$839$	0.393631	+	1.97892i	0.0135897	+	0.0683198i	0.986985	−	0.160812i	$-0.0514113\pi$
$839$	0.393631	+	1.97892i	0.0135897	+	0.0683198i	−0.973395	+	0.229132i	$0.926411\pi$
$840$	3.84481	+	1.19504i	0.132659	+	0.0412328i
$841$	−6.64661	+	16.0463i	−0.229193	+	0.553322i
$842$	2.00117	−	1.43646i	0.0689650	−	0.0495038i
$843$	1.10285	+	5.54440i	0.0379842	+	0.190959i
$844$	6.25027	+	8.11836i	0.215143	+	0.279446i
$845$	−15.8669	+	23.2776i	−0.545838	+	0.800773i
$846$	1.20935	+	0.750671i	0.0415783	+	0.0258086i
$847$	2.92765	−	1.95619i	0.100595	−	0.0672156i
$848$	−3.78113	−	6.50059i	−0.129845	−	0.223231i
$849$	11.7667			0.403831
$850$	13.9360	+	25.6083i	0.478002	+	0.878359i
$851$			29.0853i			0.997031i
$852$	−2.01983	−	30.0733i	−0.0691981	−	1.03029i
$853$	−26.4163	−	39.5349i	−0.904478	−	1.35365i	−0.935200	−	0.354120i	$-0.884781\pi$
$853$	−26.4163	−	39.5349i	−0.904478	−	1.35365i	0.0307218	−	0.999528i	$-0.490219\pi$
$854$	0.677384	−	1.09128i	0.0231796	−	0.0373429i
$855$	2.65655	+	1.81081i	0.0908522	+	0.0619284i
$856$	−12.4972	−	10.2057i	−0.427147	−	0.348824i
$857$	−31.6360	+	6.29279i	−1.08066	+	0.214958i	−0.703147	−	0.711045i	$-0.748222\pi$
$857$	−31.6360	+	6.29279i	−1.08066	+	0.214958i	−0.377518	+	0.926002i	$0.623222\pi$
$858$	−10.6895	+	7.67307i	−0.364935	+	0.261954i
$859$	−15.7116	−	6.50797i	−0.536074	−	0.222049i	0.0981874	−	0.995168i	$-0.468696\pi$
$859$	−15.7116	−	6.50797i	−0.536074	−	0.222049i	−0.634261	+	0.773119i	$0.718696\pi$
$860$	24.9994	+	14.6890i	0.852473	+	0.500892i
$861$	−5.15804	+	1.02600i	−0.175785	+	0.0349659i
$862$	51.0022	−	1.71082i	1.73714	−	0.0582706i
$863$	−47.6025			−1.62041			−0.810204	−	0.586149i	$-0.800643\pi$
$863$	−47.6025			−1.62041			−0.810204	+	0.586149i	$0.800643\pi$
$864$	−22.9077	−	16.2760i	−0.779336	−	0.553722i
$865$	−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
$868$	1.42400	−	4.21730i	0.0483336	−	0.143144i
$869$	−2.25102	+	0.932404i	−0.0763607	+	0.0316296i
$870$	−17.7506	+	7.86277i	−0.601801	+	0.266573i
$871$	−21.8378	+	21.8378i	−0.739945	+	0.739945i
$872$	−13.0063	+	6.99254i	−0.440450	+	0.236797i
$873$	2.41941	−	3.62090i	0.0818845	−	0.122549i
$874$	12.4513	−	33.1634i	0.421171	−	1.12177i
$875$	3.95240	+	0.109680i	0.133616	+	0.00370786i
$876$	−1.00436	−	14.9540i	−0.0339342	−	0.505248i
$877$	44.2026	−	8.79244i	1.49262	−	0.296900i	0.619726	−	0.784818i	$-0.287244\pi$
$877$	44.2026	−	8.79244i	1.49262	−	0.296900i	0.872889	+	0.487918i	$0.162244\pi$
$878$	8.81489	+	3.30957i	0.297488	+	0.111693i
$879$	7.83321	+	11.7232i	0.264208	+	0.395415i
$880$	−7.94067	+	4.52101i	−0.267680	+	0.152403i
$881$	0.880215	−	4.42514i	0.0296552	−	0.149087i	−0.963121	−	0.269069i	$-0.913284\pi$
$881$	0.880215	−	4.42514i	0.0296552	−	0.149087i	0.992776	+	0.119983i	$0.0382839\pi$
$882$	−0.378828	+	2.30610i	−0.0127558	+	0.0776503i
$883$	−25.1294	+	25.1294i	−0.845673	+	0.845673i	−0.989590	−	0.143917i	$-0.954030\pi$
$883$	−25.1294	+	25.1294i	−0.845673	+	0.845673i	0.143917	+	0.989590i	$0.454030\pi$
$884$	−1.61186	+	41.6905i	−0.0542126	+	1.40220i
$885$	17.5526	−	41.2914i	0.590023	−	1.38800i
$886$	23.2055	+	32.3282i	0.779604	+	1.08609i
$887$	21.1106	+	31.5943i	0.708826	+	1.06083i	0.994725	+	0.102573i	$0.0327076\pi$
$887$	21.1106	+	31.5943i	0.708826	+	1.06083i	−0.285900	+	0.958260i	$0.592292\pi$
$888$	−22.5005	−	27.2821i	−0.755069	−	0.915528i
$889$	−1.39513	+	0.932195i	−0.0467911	+	0.0312648i
$890$	−7.89846	+	0.191842i	−0.264757	+	0.00643055i
$891$	−8.20834	−	5.48464i	−0.274990	−	0.183742i
$892$	−18.0507	+	20.6500i	−0.604384	+	0.691414i
$893$	9.58503	+	23.1403i	0.320751	+	0.774361i
$894$	6.97625	−	18.5809i	0.233321	−	0.621438i
$895$	−29.6380	+	19.4094i	−0.990688	+	0.648785i
$896$	2.34887	+	3.23907i	0.0784702	+	0.108210i
$897$		−	38.1384i		−	1.27340i
$898$	−23.7531	−	22.2112i	−0.792650	−	0.741198i
$899$	8.21362	+	19.8294i	0.273940	+	0.661349i
$900$	2.26275	+	0.810951i	0.0754249	+	0.0270317i
$901$	−7.70846	−	0.817880i	−0.256806	−	0.0272475i
$902$	6.29453	−	10.1407i	0.209585	−	0.337647i
$903$	1.57952	−	3.81330i	0.0525632	−	0.126899i
$904$	−23.5579	−	43.8184i	−0.783523	−	1.45738i
$905$	−19.4046	+	45.6482i	−0.645030	+	1.51740i
$906$	−34.1788	+	36.5514i	−1.13552	+	1.21434i
$907$	11.9601	−	17.8995i	0.397128	−	0.594344i	−0.577987	−	0.816046i	$-0.696161\pi$
$907$	11.9601	−	17.8995i	0.397128	−	0.594344i	0.975114	+	0.221703i	$0.0711614\pi$
$908$	38.2509	−	29.4491i	1.26940	−	0.977303i
$909$	0.0957977	−	0.231276i	0.00317741	−	0.00767094i
$910$	4.77959	+	3.02838i	0.158442	+	0.100390i
$911$	−20.3249	−	13.5807i	−0.673395	−	0.449948i	0.171284	−	0.985222i	$-0.445209\pi$
$911$	−20.3249	−	13.5807i	−0.673395	−	0.449948i	−0.844679	+	0.535273i	$0.820209\pi$
$912$	13.9760	+	40.7397i	0.462792	+	1.34903i
$913$	0.875258	−	4.40022i	0.0289668	−	0.145626i
$914$	−26.1378	+	42.1086i	−0.864560	+	1.39283i
$915$	5.82227	−	8.54158i	0.192478	−	0.282376i
$916$	10.3638	−	11.8562i	0.342430	−	0.391740i
$917$	−2.46011	−	2.46011i	−0.0812401	−	0.0812401i
$918$	−27.4907	+	9.12614i	−0.907329	+	0.301207i
$919$			15.3418i			0.506078i	0.967456	+	0.253039i	$0.0814301\pi$
$919$			15.3418i			0.506078i	−0.967456	+	0.253039i	$0.918570\pi$
$920$	2.77582	−	26.3384i	0.0915162	−	0.868352i
$921$	−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
$924$	0.793490	+	1.03065i	0.0261039	+	0.0339059i
$925$	−28.5139	−	19.8248i	−0.937530	−	0.651836i
$926$	2.59004	−	15.7667i	0.0851139	−	0.518127i
$927$	−1.23008	−	2.96968i	−0.0404011	−	0.0975369i
$928$	−18.8063	−	4.30513i	−0.617347	−	0.141323i
$929$	−8.78351	+	1.74715i	−0.288178	+	0.0573221i	−0.337062	−	0.941482i	$-0.609433\pi$
$929$	−8.78351	+	1.74715i	−0.288178	+	0.0573221i	0.0488847	+	0.998804i	$0.484433\pi$
$930$	12.9015	−	33.4201i	0.423058	−	1.09589i
$931$	−29.0787	+	29.0787i	−0.953015	+	0.953015i
$932$	16.2846	−	28.3111i	0.533419	−	0.927360i
$933$	−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	0.122309	−	0.992492i	$-0.460970\pi$
$937$	−15.0910	−	6.25091i	−0.493003	−	0.204208i	−0.615312	+	0.788284i	$0.710970\pi$
$938$	2.22985	+	2.08511i	0.0728071	+	0.0680811i
$939$	12.0973	−	12.0973i	0.394781	−	0.394781i
$940$	11.2860	+	14.9430i	0.368108	+	0.487388i
$941$	4.69614	+	23.6091i	0.153090	+	0.769634i	0.978684	+	0.205370i	$0.0658399\pi$
$941$	4.69614	+	23.6091i	0.153090	+	0.769634i	−0.825595	+	0.564264i	$0.809160\pi$
$942$	10.4846	−	4.76069i	0.341605	−	0.155112i
$943$	13.2385	+	31.9605i	0.431104	+	1.04078i
$944$	38.5413	−	22.4179i	1.25441	−	0.729641i
$945$	−0.801974	+	3.84559i	−0.0260882	+	0.125097i
$946$	3.87281	+	8.52918i	0.125916	+	0.277308i
$947$	−1.22674	+	6.16723i	−0.0398637	+	0.200408i	−0.995585	−	0.0938654i	$-0.970078\pi$
$947$	−1.22674	+	6.16723i	−0.0398637	+	0.200408i	0.955721	+	0.294274i	$0.0950777\pi$
$948$	3.81007	+	7.69474i	0.123745	+	0.249914i
$949$	4.10912	−	20.6580i	0.133388	−	0.670586i
$950$	24.0249	+	34.8111i	0.779471	+	1.12942i
$951$		−	52.4292i		−	1.70013i
$952$	4.12418	+	0.0210822i	0.133665	+	0.000683278i
$953$	−6.74183	+	6.74183i	−0.218389	+	0.218389i	−0.807819	−	0.589430i	$-0.799352\pi$
$953$	−6.74183	+	6.74183i	−0.218389	+	0.218389i	0.589430	+	0.807819i	$0.299352\pi$
$954$	−0.519186	+	0.372677i	−0.0168093	+	0.0120659i
$955$	−1.99740	−	10.5506i	−0.0646342	−	0.341409i
$956$	13.6671	−	40.4762i	0.442024	−	1.30909i
$957$	−6.15138	−	1.22359i	−0.198846	−	0.0395529i
$958$	−9.42980	+	25.1158i	−0.304663	+	0.811455i
$959$	6.37797	+	4.26162i	0.205955	+	0.137615i
$960$	17.7718	+	26.8529i	0.573583	+	0.866675i
$961$	−7.95010	−	3.29304i	−0.256455	−	0.106227i
$962$	−20.5471	−	45.2513i	−0.662466	−	1.45896i
$963$	−0.761796	+	1.14011i	−0.0245485	+	0.0367395i
$964$	30.6689	+	17.6408i	0.987779	+	0.568172i
$965$	−3.15829	−	7.82878i	−0.101669	−	0.252017i
$966$	−3.76790	+	0.126391i	−0.121230	+	0.00406655i
$967$	7.44070	−	17.9634i	0.239277	−	0.577665i	−0.757932	−	0.652334i	$-0.773790\pi$
$967$	7.44070	−	17.9634i	0.239277	−	0.577665i	0.997208	+	0.0746689i	$0.0237900\pi$
$968$	28.0317	+	2.69242i	0.900974	+	0.0865377i
$969$	42.3860	+	13.2070i	1.36163	+	0.424271i
$970$	46.8496	−	32.9770i	1.50425	−	1.05883i
$971$	−0.725965	−	1.75263i	−0.0232973	−	0.0562447i	0.911803	−	0.410628i	$-0.134691\pi$
$971$	−0.725965	−	1.75263i	−0.0232973	−	0.0562447i	−0.935100	+	0.354384i	$0.884691\pi$
$972$	−2.48515	+	4.32048i	−0.0797112	+	0.138580i
$973$	6.33136			0.202974
$974$	−14.7532	+	15.7773i	−0.472722	+	0.505537i
$975$	37.3891	+	25.9955i	1.19741	+	0.832522i
$976$	9.71673	−	3.33338i	0.311025	−	0.106699i
$977$	−0.834852	+	0.345807i	−0.0267093	+	0.0110633i	−0.395998	−	0.918251i	$-0.629601\pi$
$977$	−0.834852	+	0.345807i	−0.0267093	+	0.0110633i	0.369289	+	0.929315i	$0.379601\pi$
$978$	19.6441	−	14.1008i	0.628150	−	0.450893i
$979$	−2.12226	−	1.41805i	−0.0678278	−	0.0453211i
$980$	−15.5757	+	26.5084i	−0.497546	+	0.846778i
$981$	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	0.703010	−	0.711180i	$-0.251839\pi$
$983$	−6.99373	−	10.4669i	−0.223065	−	0.333841i	−0.926075	+	0.377339i	$0.876839\pi$
$984$	−37.1426	−	19.7377i	−1.18406	−	0.629215i
$985$	−15.7024	+	36.9389i	−0.500319	+	1.17697i
$986$	−15.0393	+	13.0113i	−0.478949	+	0.414363i
$987$	1.88490	−	1.88490i	0.0599970	−	0.0599970i
$988$	4.05615	+	60.3922i	0.129043	+	1.92133i
$989$	−26.6286	−	5.29675i	−0.846739	−	0.168427i
$990$	0.446968	+	0.634996i	0.0142056	+	0.0201815i
$991$	−30.9412	−	46.3068i	−0.982881	−	1.47099i	−0.879245	−	0.476370i	$-0.841952\pi$
$991$	−30.9412	−	46.3068i	−0.982881	−	1.47099i	−0.103636	−	0.994615i	$-0.533048\pi$
$992$	30.1556	−	18.9210i	0.957441	−	0.600742i
$993$	0.695301	+	3.49551i	0.0220647	+	0.110927i
$994$	−4.13178	−	0.678737i	−0.131052	−	0.0215282i
$995$	−3.49953	−	0.0323634i	−0.110943	−	0.00102599i
$996$	−15.6785	−	2.03840i	−0.496793	−	0.0645890i
$997$	−6.39893	−	4.27563i	−0.202656	−	0.135410i	0.450101	−	0.892977i	$-0.351388\pi$
$997$	−6.39893	−	4.27563i	−0.202656	−	0.135410i	−0.652757	+	0.757567i	$0.726388\pi$
$998$	9.93807	−	0.333362i	0.314584	−	0.0105524i
$999$	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.37.5	✓	832
5.3	odd	4		680.2.ct.a.173.49	yes	832
8.5	even	2	inner	680.2.cf.a.37.21	yes	832
17.6	odd	16		680.2.ct.a.397.34	yes	832
40.13	odd	4		680.2.ct.a.173.34	yes	832
85.23	even	16	inner	680.2.cf.a.533.21	yes	832
136.125	odd	16		680.2.ct.a.397.49	yes	832
680.533	even	16	inner	680.2.cf.a.533.5	yes	832

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
680.2.cf.a.37.5	✓	832	1.1	even	1	trivial
680.2.cf.a.37.21	yes	832	8.5	even	2	inner
680.2.cf.a.533.5	yes	832	680.533	even	16	inner
680.2.cf.a.533.21	yes	832	85.23	even	16	inner
680.2.ct.a.173.34	yes	832	40.13	odd	4
680.2.ct.a.173.49	yes	832	5.3	odd	4
680.2.ct.a.397.34	yes	832	17.6	odd	16
680.2.ct.a.397.49	yes	832	136.125	odd	16

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+(-1.39551 - 0.229244i) q^{2} +(1.00008 + 1.49673i) q^{3} +(1.89489 + 0.639823i) q^{4} +(1.25943 - 1.84765i) q^{5} +(-1.05251 - 2.31796i) q^{6} +(-0.346855 + 0.0689937i) q^{7} +(-2.49767 - 1.32727i) q^{8} +(-0.0919848 + 0.222071i) q^{9} +(-2.18111 + 2.28970i) q^{10} +(-1.00197 + 0.199305i) q^{11} +(0.937409 + 3.47602i) q^{12} +5.05949i q^{13} +(0.499855 - 0.0167671i) q^{14} +(4.02498 + 0.0372228i) q^{15} +(3.18125 + 2.42480i) q^{16} +(3.95447 - 1.16713i) q^{17} +(0.179274 - 0.288815i) q^{18} +(5.52633 - 2.28908i) q^{19} +(3.56867 - 2.69530i) q^{20} +(-0.450148 - 0.450148i) q^{21} +(1.44395 - 0.0484359i) q^{22} +(-2.32647 + 3.48181i) q^{23} +(-0.511308 - 5.06572i) q^{24} +(-1.82766 - 4.65399i) q^{25} +(1.15986 - 7.06057i) q^{26} +(4.87217 - 0.969135i) q^{27} +(-0.701397 - 0.0911899i) q^{28} +(2.83574 - 1.89478i) q^{29} +(-5.60836 - 0.974645i) q^{30} +(-1.22775 + 6.17234i) q^{31} +(-3.88360 - 4.11311i) q^{32} +(-1.30036 - 1.30036i) q^{33} +(-5.78605 + 0.722199i) q^{34} +(-0.309364 + 0.727760i) q^{35} +(-0.316388 + 0.361947i) q^{36} +(5.77512 - 3.85882i) q^{37} +(-8.23680 + 1.92756i) q^{38} +(-7.57269 + 5.05991i) q^{39} +(-5.59799 + 2.94322i) q^{40} +(4.58964 - 6.86888i) q^{41} +(0.524993 + 0.731380i) q^{42} +(2.48116 + 5.99005i) q^{43} +(-2.02615 - 0.263424i) q^{44} +(0.294462 + 0.449639i) q^{45} +(4.04479 - 4.32557i) q^{46} +4.18729i q^{47} +(-0.447748 + 7.18647i) q^{48} +(-6.35161 + 2.63092i) q^{49} +(1.48362 + 6.91367i) q^{50} +(5.70167 + 4.75155i) q^{51} +(-3.23718 + 9.58720i) q^{52} +(-1.73696 - 0.719472i) q^{53} +(-7.02133 + 0.235523i) q^{54} +(-0.893672 + 2.10231i) q^{55} +(0.957901 + 0.288047i) q^{56} +(8.95292 + 5.98215i) q^{57} +(-4.39166 + 1.99411i) q^{58} +(4.26567 - 10.2982i) q^{59} +(7.60309 + 2.64581i) q^{60} +(1.42679 - 2.13534i) q^{61} +(3.12831 - 8.33210i) q^{62} +(0.0165839 - 0.0833726i) q^{63} +(4.47670 + 6.63017i) q^{64} +(9.34819 + 6.37209i) q^{65} +(1.51657 + 2.11277i) q^{66} +(4.31620 + 4.31620i) q^{67} +(8.24005 + 0.318581i) q^{68} -7.53799 q^{69} +(0.598554 - 0.944677i) q^{70} +(-8.21116 - 1.63330i) q^{71} +(0.524496 - 0.432571i) q^{72} +(-4.08301 - 0.812162i) q^{73} +(-8.94385 + 4.06110i) q^{74} +(5.13797 - 7.38989i) q^{75} +(11.9364 - 0.801692i) q^{76} +(0.333788 - 0.138260i) q^{77} +(11.7277 - 5.32516i) q^{78} +(2.33914 - 0.465284i) q^{79} +(8.48676 - 2.82399i) q^{80} +(6.83300 + 6.83300i) q^{81} +(-7.97954 + 8.53345i) 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} +(2.76713 + 0.832094i) q^{88} +(1.76667 + 1.76667i) q^{89} +(-0.307847 - 0.694980i) q^{90} +(-0.349073 - 1.75491i) q^{91} +(-6.63616 + 5.10913i) q^{92} +(-10.4662 + 4.33523i) q^{93} +(0.959908 - 5.84340i) q^{94} +(2.73061 - 13.0937i) q^{95} +(2.27229 - 9.92615i) 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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