LMFDB - Embedded newform 680.2.ct.a.397.34

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [680,2,Mod(133,680)] 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, 12, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("680.133"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 680 = 2^{3} \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	680.ct (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			397.34
Character	$\chi$	$=$	680.397
Dual form			680.2.ct.a.173.34

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.824675 - 1.14887i) q^{2} +(1.49673 + 1.00008i) q^{3} +(-0.639823 + 1.89489i) q^{4} +(-2.18897 - 0.456497i) q^{5} +(-0.0853459 - 2.54430i) q^{6} +(0.0689937 - 0.346855i) q^{7} +(2.70464 - 0.827595i) q^{8} +(0.0919848 + 0.222071i) q^{9} +(1.28073 + 2.89132i) q^{10} +(1.00197 + 0.199305i) q^{11} +(-2.85270 + 2.19627i) q^{12} +5.05949 q^{13} +(-0.455390 + 0.206777i) q^{14} +(-2.81977 - 2.87241i) q^{15} +(-3.18125 - 2.42480i) q^{16} +(-1.16713 + 3.95447i) q^{17} +(0.179274 - 0.288815i) q^{18} +(5.52633 + 2.28908i) q^{19} +(2.26557 - 3.85580i) q^{20} +(0.450148 - 0.450148i) q^{21} +(-0.597326 - 1.31550i) q^{22} +(-3.48181 + 2.32647i) q^{23} +(4.87578 + 1.46618i) q^{24} +(4.58322 + 1.99852i) q^{25} +(-4.17243 - 5.81272i) q^{26} +(0.969135 - 4.87217i) q^{27} +(0.613109 + 0.352661i) q^{28} +(2.83574 + 1.89478i) q^{29} +(-0.974645 + 5.60836i) q^{30} +(-1.22775 - 6.17234i) q^{31} +(-0.162287 + 5.65453i) 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} +(3.85882 - 5.77512i) q^{37} +(-1.92756 - 8.23680i) q^{38} +(7.57269 + 5.05991i) q^{39} +(-6.29819 + 0.576923i) q^{40} +(4.58964 + 6.86888i) q^{41} +(-0.888390 - 0.145938i) q^{42} +(5.99005 + 2.48116i) q^{43} +(-1.01875 + 1.77111i) q^{44} +(-0.0999775 - 0.528098i) q^{45} +(5.54418 + 2.08158i) q^{46} +4.18729 q^{47} +(-2.33648 - 6.81078i) 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} +(-0.719472 - 1.73696i) q^{53} +(-6.39673 + 2.90454i) q^{54} +(-2.10231 - 0.893672i) q^{55} +(-0.100452 - 0.995216i) q^{56} +(5.98215 + 8.95292i) q^{57} +(-0.161698 - 4.82048i) q^{58} +(4.26567 + 10.2982i) q^{59} +(7.24707 - 3.50533i) q^{60} +(-1.42679 - 2.13534i) q^{61} +(-6.07874 + 6.50071i) q^{62} +(0.0833726 - 0.0165839i) q^{63} +(6.63017 - 4.47670i) q^{64} +(-11.0751 - 2.30964i) q^{65} +(0.421577 - 2.56633i) q^{66} +(-4.31620 - 4.31620i) q^{67} +(-6.74655 - 4.74174i) q^{68} -7.53799 q^{69} +(1.09123 - 0.244746i) q^{70} +(-8.21116 + 1.63330i) q^{71} +(0.432571 + 0.524496i) q^{72} +(0.812162 + 4.08301i) q^{73} +(-9.81716 + 0.329307i) q^{74} +(4.86116 + 7.57485i) q^{75} +(-7.87344 + 9.00720i) q^{76} +(0.138260 - 0.333788i) q^{77} +(-0.431807 - 12.8729i) q^{78} +(-2.33914 - 0.465284i) q^{79} +(5.85677 + 6.76005i) q^{80} +(6.83300 - 6.83300i) q^{81} +(4.10652 - 10.9375i) q^{82} +(4.05726 - 1.68057i) q^{83} +(0.564968 + 1.14100i) q^{84} +(4.36001 - 8.12344i) q^{85} +(-2.08930 - 8.92797i) q^{86} +(2.34940 + 5.67194i) q^{87} +(2.87492 - 0.290180i) q^{88} +(-1.76667 + 1.76667i) q^{89} +(-0.524269 + 0.550371i) q^{90} +(0.349073 - 1.75491i) q^{91} +(-2.18067 - 8.08619i) q^{92} +(4.33523 - 10.4662i) q^{93} +(-3.45315 - 4.81066i) q^{94} +(-11.0520 - 7.53349i) q^{95} +(-5.89790 + 8.30100i) q^{96} +(-3.53451 - 17.7692i) q^{97} +(-2.21541 - 9.46685i) 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} + 16 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} + 24 q^{28} + 56 q^{30} - 32 q^{31}+ \cdots - 16 q^{97}+O(q^{100}) $ 832 * q - 8 * q^2 - 16 * q^6 - 16 * q^7 - 8 * q^8 - 8 * q^10 + 16 * 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 + 24 * q^28 + 56 * q^30 - 32 * q^31 - 8 * q^32 + 48 * q^36 - 16 * q^38 - 96 * q^39 - 64 * q^40 - 32 * q^41 - 24 * q^42 - 32 * q^46 - 32 * q^47 - 136 * 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 + 32 * q^63 - 96 * q^65 - 16 * q^66 - 64 * q^68 + 56 * q^70 - 32 * q^71 - 96 * q^73 - 16 * q^76 - 160 * q^78 + 40 * q^80 - 32 * q^81 - 8 * q^82 + 96 * q^84 - 32 * q^86 - 16 * q^87 - 96 * q^88 + 88 * q^90 - 120 * q^92 - 48 * q^94 - 16 * q^95 - 16 * q^96 - 16 * q^97

Character values

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

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

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 $

$2$	−0.824675	−	1.14887i	−0.583133	−	0.812377i
$2$	−0.824675	−	1.14887i	−0.583133	−	0.812377i
$3$	1.49673	+	1.00008i	0.864138	+	0.577398i	0.906738	−	0.421694i	$-0.138564\pi$
$3$	1.49673	+	1.00008i	0.864138	+	0.577398i	−0.0426006	+	0.999092i	$0.513564\pi$
$4$	−0.639823	+	1.89489i	−0.319912	+	0.947447i
$5$	−2.18897	−	0.456497i	−0.978939	−	0.204152i
$5$	−2.18897	−	0.456497i	−0.978939	−	0.204152i
$6$	−0.0853459	−	2.54430i	−0.0348423	−	1.03871i
$7$	0.0689937	−	0.346855i	0.0260772	−	0.131099i	−0.965554	−	0.260203i	$-0.916210\pi$
$7$	0.0689937	−	0.346855i	0.0260772	−	0.131099i	0.991631	+	0.129105i	$0.0412104\pi$
$8$	2.70464	−	0.827595i	0.956235	−	0.292599i
$9$	0.0919848	+	0.222071i	0.0306616	+	0.0740236i
$10$	1.28073	+	2.89132i	0.405004	+	0.914315i
$11$	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	$0.513280\pi$
$12$	−2.85270	+	2.19627i	−0.823502	+	0.634008i
$13$	5.05949			1.40325			0.701625	−	0.712546i	$-0.252458\pi$
$13$	5.05949			1.40325			0.701625	+	0.712546i	$0.252458\pi$
$14$	−0.455390	+	0.206777i	−0.121708	+	0.0552635i
$15$	−2.81977	−	2.87241i	−0.728061	−	0.741653i
$16$	−3.18125	−	2.42480i	−0.795313	−	0.606199i
$17$	−1.16713	+	3.95447i	−0.283070	+	0.959099i
$17$	−1.16713	+	3.95447i	−0.283070	+	0.959099i
$18$	0.179274	−	0.288815i	0.0422553	−	0.0680744i
$19$	5.52633	+	2.28908i	1.26783	+	0.525151i	0.912303	−	0.409516i	$-0.134302\pi$
$19$	5.52633	+	2.28908i	1.26783	+	0.525151i	0.355524	+	0.934667i	$0.384302\pi$
$20$	2.26557	−	3.85580i	0.506597	−	0.862183i
$21$	0.450148	−	0.450148i	0.0982304	−	0.0982304i
$22$	−0.597326	−	1.31550i	−0.127350	−	0.280466i
$23$	−3.48181	+	2.32647i	−0.726007	+	0.485102i	−0.862831	−	0.505493i	$-0.831311\pi$
$23$	−3.48181	+	2.32647i	−0.726007	+	0.485102i	0.136824	+	0.990595i	$0.456311\pi$
$24$	4.87578	+	1.46618i	0.995265	+	0.299283i
$25$	4.58322	+	1.99852i	0.916644	+	0.399704i
$26$	−4.17243	−	5.81272i	−0.818282	−	1.13997i
$27$	0.969135	−	4.87217i	0.186510	−	0.937649i
$28$	0.613109	+	0.352661i	0.115867	+	0.0666467i
$29$	2.83574	+	1.89478i	0.526583	+	0.351851i	0.790272	−	0.612756i	$-0.209939\pi$
$29$	2.83574	+	1.89478i	0.526583	+	0.351851i	−0.263689	+	0.964608i	$0.584939\pi$
$30$	−0.974645	+	5.60836i	−0.177945	+	1.02394i
$31$	−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	$-0.253682\pi$
$32$	−0.162287	+	5.65453i	−0.0286886	+	0.999588i
$33$	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
$37$	3.85882	−	5.77512i	0.634385	−	0.949425i	−0.365442	−	0.930834i	$-0.619082\pi$
$37$	3.85882	−	5.77512i	0.634385	−	0.949425i	0.999827	−	0.0185905i	$-0.00591789\pi$
$38$	−1.92756	−	8.23680i	−0.312691	−	1.33619i
$39$	7.57269	+	5.05991i	1.21260	+	0.810234i
$40$	−6.29819	+	0.576923i	−0.995831	+	0.0912196i
$41$	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	$0.589321\pi$
$42$	−0.888390	−	0.145938i	−0.137081	−	0.0225187i
$43$	5.99005	+	2.48116i	0.913475	+	0.378374i	0.789386	−	0.613898i	$-0.210399\pi$
$43$	5.99005	+	2.48116i	0.913475	+	0.378374i	0.124089	+	0.992271i	$0.460399\pi$
$44$	−1.01875	+	1.77111i	−0.153582	+	0.267006i
$45$	−0.0999775	−	0.528098i	−0.0149038	−	0.0787242i
$46$	5.54418	+	2.08158i	0.817445	+	0.306912i
$47$	4.18729			0.610778			0.305389	−	0.952228i	$-0.401213\pi$
$47$	4.18729			0.610778			0.305389	+	0.952228i	$0.401213\pi$
$48$	−2.33648	−	6.81078i	−0.337242	−	0.983052i
$49$	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
$53$	−0.719472	−	1.73696i	−0.0988271	−	0.238590i	0.866732	−	0.498775i	$-0.166216\pi$
$53$	−0.719472	−	1.73696i	−0.0988271	−	0.238590i	−0.965559	+	0.260185i	$0.916216\pi$
$54$	−6.39673	+	2.90454i	−0.870485	+	0.395258i
$55$	−2.10231	−	0.893672i	−0.283476	−	0.120503i
$56$	−0.100452	−	0.995216i	−0.0134235	−	0.132991i
$57$	5.98215	+	8.95292i	0.792355	+	1.18584i
$58$	−0.161698	−	4.82048i	−0.0212320	−	0.632960i
$59$	4.26567	+	10.2982i	0.555343	+	1.34072i	0.913418	+	0.407023i	$0.133433\pi$
$59$	4.26567	+	10.2982i	0.555343	+	1.34072i	−0.358075	+	0.933693i	$0.616567\pi$
$60$	7.24707	−	3.50533i	0.935593	−	0.452536i
$61$	−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	$0.865072\pi$
$62$	−6.07874	+	6.50071i	−0.772001	+	0.825590i
$63$	0.0833726	−	0.0165839i	0.0105040	−	0.00208937i
$64$	6.63017	−	4.47670i	0.828772	−	0.559587i
$65$	−11.0751	−	2.30964i	−1.37370	−	0.286476i
$66$	0.421577	−	2.56633i	0.0518925	−	0.315893i
$67$	−4.31620	−	4.31620i	−0.527308	−	0.527308i	0.392461	−	0.919769i	$-0.371624\pi$
$67$	−4.31620	−	4.31620i	−0.527308	−	0.527308i	−0.919769	+	0.392461i	$0.871624\pi$
$68$	−6.74655	−	4.74174i	−0.818139	−	0.575021i
$69$	−7.53799			−0.907467
$70$	1.09123	−	0.244746i	0.130427	−	0.0292527i
$71$	−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	$0.602988\pi$
$72$	0.432571	+	0.524496i	0.0509789	+	0.0618124i
$73$	0.812162	+	4.08301i	0.0950563	+	0.477880i	0.998763	+	0.0497279i	$0.0158354\pi$
$73$	0.812162	+	4.08301i	0.0950563	+	0.477880i	−0.903706	+	0.428153i	$0.859165\pi$
$74$	−9.81716	+	0.329307i	−1.14122	+	0.0382811i
$75$	4.86116	+	7.57485i	0.561318	+	0.874668i
$76$	−7.87344	+	9.00720i	−0.903146	+	1.03320i
$77$	0.138260	−	0.333788i	0.0157561	−	0.0380387i
$78$	−0.431807	−	12.8729i	−0.0488925	−	1.45756i
$79$	−2.33914	−	0.465284i	−0.263174	−	0.0523485i	0.0617396	−	0.998092i	$-0.480335\pi$
$79$	−2.33914	−	0.465284i	−0.263174	−	0.0523485i	−0.324913	+	0.945744i	$0.605335\pi$
$80$	5.85677	+	6.76005i	0.654807	+	0.755797i
$81$	6.83300	−	6.83300i	0.759223	−	0.759223i
$82$	4.10652	−	10.9375i	0.453489	−	1.20785i
$83$	4.05726	−	1.68057i	0.445343	−	0.184467i	−0.148731	−	0.988878i	$-0.547519\pi$
$83$	4.05726	−	1.68057i	0.445343	−	0.184467i	0.594074	+	0.804411i	$0.297519\pi$
$84$	0.564968	+	1.14100i	0.0616431	+	0.124493i
$85$	4.36001	−	8.12344i	0.472910	−	0.881111i
$86$	−2.08930	−	8.92797i	−0.225295	−	0.962728i
$87$	2.34940	+	5.67194i	0.251882	+	0.608096i
$88$	2.87492	−	0.290180i	0.306468	−	0.0309333i
$89$	−1.76667	+	1.76667i	−0.187267	+	0.187267i	−0.794513	−	0.607247i	$-0.792274\pi$
$89$	−1.76667	+	1.76667i	−0.187267	+	0.187267i	0.607247	+	0.794513i	$0.292274\pi$
$90$	−0.524269	+	0.550371i	−0.0552629	+	0.0580142i
$91$	0.349073	−	1.75491i	0.0365928	−	0.183964i
$92$	−2.18067	−	8.08619i	−0.227351	−	0.843044i
$93$	4.33523	−	10.4662i	0.449543	−	1.08529i
$94$	−3.45315	−	4.81066i	−0.356165	−	0.496182i
$95$	−11.0520	−	7.53349i	−1.13391	−	0.772920i
$96$	−5.89790	+	8.30100i	−0.601951	+	0.847217i
$97$	−3.53451	−	17.7692i	−0.358875	−	1.80419i	−0.564360	−	0.825528i	$-0.690877\pi$
$97$	−3.53451	−	17.7692i	−0.358875	−	1.80419i	0.205485	−	0.978660i	$-0.434123\pi$
$98$	−2.21541	−	9.46685i	−0.223790	−	0.956297i
$99$	0.0479065	+	0.240842i	0.00481478	+	0.0242055i
$100$	−6.71944	+	7.40602i	−0.671944	+	0.740602i
$101$	1.04145			0.103628			0.0518142	−	0.998657i	$-0.483500\pi$
$101$	1.04145			0.103628			0.0518142	+	0.998657i	$0.483500\pi$
$102$	10.1610	+	2.63202i	1.00608	+	0.260609i
$103$	−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	$0.478945\pi$
$104$	13.6841	−	4.18721i	1.34184	−	0.410590i
$105$	−1.19085	+	0.779872i	−0.116216	+	0.0761077i
$106$	−1.40222	+	2.25901i	−0.136195	+	0.219414i
$107$	−1.11291	−	5.59497i	−0.107589	−	0.540886i	−0.996557	−	0.0829160i	$-0.973577\pi$
$107$	−1.11291	−	5.59497i	−0.107589	−	0.540886i	0.888968	−	0.457970i	$-0.151423\pi$
$108$	8.61217	+	4.95374i	0.828707	+	0.476673i
$109$	2.90056	+	4.34100i	0.277824	+	0.415792i	0.943971	−	0.330027i	$-0.107058\pi$
$109$	2.90056	+	4.34100i	0.277824	+	0.415792i	−0.666148	+	0.745820i	$0.732058\pi$
$110$	0.707008	+	3.15228i	0.0674105	+	0.300558i
$111$	11.5512	−	4.78467i	1.09639	−	0.454141i
$112$	−1.06054	+	0.936136i	−0.100211	+	0.0884566i
$113$	−9.77200	−	14.6248i	−0.919272	−	1.37579i	−0.926694	−	0.375816i	$-0.877362\pi$
$113$	−9.77200	−	14.6248i	−0.919272	−	1.37579i	0.00742181	−	0.999972i	$-0.497638\pi$
$114$	5.35245	−	14.2560i	0.501303	−	1.33520i
$115$	8.68362	−	3.50315i	0.809751	−	0.326670i
$116$	−5.40477	+	4.16110i	−0.501821	+	0.386348i
$117$	0.465396	+	1.12357i	0.0430259	+	0.103874i
$118$	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
$122$	−1.27660	+	3.40016i	−0.115578	+	0.307836i
$123$			14.8709i			1.34086i
$124$	12.4815	+	1.62274i	1.12087	+	0.145726i
$125$	−9.12023	−	6.46694i	−0.815738	−	0.578421i
$126$	−0.0878081	−	0.0821084i	−0.00782256	−	0.00731480i
$127$	−1.81566	+	4.38339i	−0.161114	+	0.388963i	−0.983735	−	0.179627i	$-0.942511\pi$
$127$	−1.81566	+	4.38339i	−0.161114	+	0.388963i	0.822621	+	0.568590i	$0.192511\pi$
$128$	−10.6109	−	3.92541i	−0.937880	−	0.346961i
$129$	6.48413	+	9.70418i	0.570896	+	0.854406i
$130$	6.47986	+	14.6286i	0.568321	+	1.28301i
$131$	−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	$0.328904\pi$
$132$	−3.29605	+	1.63205i	−0.286885	+	0.142052i
$133$	1.17526	−	1.75890i	0.101908	−	0.152516i
$134$	−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	−0.921156	−	0.389194i	$-0.872754\pi$
$137$	−15.3372	−	15.3372i	−1.31035	−	1.31035i	−0.389194	−	0.921156i	$-0.627246\pi$
$138$	6.21639	+	8.66020i	0.529174	+	0.737205i
$139$	−17.5589	+	3.49268i	−1.48933	+	0.296245i	−0.871627	−	0.490169i	$-0.836935\pi$
$139$	−17.5589	+	3.49268i	−1.48933	+	0.296245i	−0.617699	+	0.786415i	$0.711935\pi$
$140$	−1.18109	−	1.05185i	−0.0998204	−	0.0888975i
$141$	6.26724	+	4.18763i	0.527796	+	0.352662i
$142$	8.64800	+	8.08665i	0.725724	+	0.678617i
$143$	5.06948	+	1.00838i	0.423931	+	0.0843251i
$144$	0.245850	−	0.929508i	0.0204875	−	0.0774590i
$145$	−5.34239	−	5.44213i	−0.443662	−	0.451944i
$146$	4.02110	−	4.30023i	0.332788	−	0.355889i
$147$	6.87550	+	10.2899i	0.567082	+	0.848698i
$148$	8.47429	+	11.0071i	0.696583	+	0.904779i
$149$	5.51284	−	5.51284i	0.451629	−	0.451629i	−0.444266	−	0.895895i	$-0.646535\pi$
$149$	5.51284	−	5.51284i	0.451629	−	0.451629i	0.895895	+	0.444266i	$0.146535\pi$
$150$	4.69368	−	11.8316i	0.383237	−	0.966050i
$151$	−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	$0.829917\pi$
$152$	16.8412	+	1.61758i	1.36600	+	0.131203i
$153$	−0.985530	+	0.104566i	−0.0796754	+	0.00845368i
$154$	−0.497500	+	0.116424i	−0.0400897	+	0.00938170i
$155$	−0.130133	+	14.0716i	−0.0104525	+	1.13025i
$156$	−14.4332	+	11.1120i	−1.15558	+	0.889672i
$157$	−4.52318			−0.360989			−0.180494	−	0.983576i	$-0.557770\pi$
$157$	−4.52318			−0.360989			−0.180494	+	0.983576i	$0.557770\pi$
$158$	1.39448	+	3.07109i	0.110939	+	0.244322i
$159$	0.660248	−	3.31929i	0.0523611	−	0.263237i
$160$	2.93652	−	12.3035i	0.232152	−	0.972679i
$161$	0.566724	+	1.36819i	0.0446641	+	0.107829i
$162$	−13.4853	−	2.21526i	−1.05950	−	0.174047i
$163$	9.31617	+	1.85310i	0.729699	+	0.145146i	0.545939	−	0.837825i	$-0.316173\pi$
$163$	9.31617	+	1.85310i	0.729699	+	0.145146i	0.183760	+	0.982971i	$0.441173\pi$
$164$	−15.9524	+	4.30202i	−1.24567	+	0.335931i
$165$	−2.25285	−	3.44007i	−0.175384	−	0.267809i
$166$	−5.27669	−	3.27536i	−0.409551	−	0.254217i
$167$	7.55328	−	11.3043i	0.584490	−	0.874752i	−0.414893	−	0.909870i	$-0.636181\pi$
$167$	7.55328	−	11.3043i	0.584490	−	0.874752i	0.999383	+	0.0351186i	$0.0111809\pi$
$168$	0.844949	−	1.59003i	0.0651893	−	0.122674i
$169$	12.5984			0.969111
$170$	−12.9284	+	1.69009i	−0.991563	+	0.129624i
$171$			1.43780i			0.109951i
$172$	−8.53412	+	9.76302i	−0.650720	+	0.744423i
$173$	−13.6662	−	9.13148i	−1.03902	−	0.694253i	−0.0857362	−	0.996318i	$-0.527324\pi$
$173$	−13.6662	−	9.13148i	−1.03902	−	0.694253i	−0.953288	+	0.302064i	$0.902324\pi$
$174$	4.57886	−	7.37667i	0.347123	−	0.559224i
$175$	1.00941	−	1.45183i	0.0763042	−	0.109748i
$176$	−2.70426	−	3.06362i	−0.203841	−	0.230929i
$177$	−3.91454	+	19.6797i	−0.294235	+	1.47922i
$178$	3.48661	+	0.572753i	0.261332	+	0.0429297i
$179$	−14.6378	+	6.06317i	−1.09408	+	0.453183i	−0.855427	−	0.517923i	$-0.826706\pi$
$179$	−14.6378	+	6.06317i	−1.09408	+	0.453183i	−0.238652	+	0.971105i	$0.576706\pi$
$180$	1.06466	+	0.148443i	0.0793550	+	0.0110643i
$181$	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	$0.254011\pi$
$182$	−2.30404	+	1.04619i	−0.170787	+	0.0775485i
$183$		−	4.62293i		−	0.341737i
$184$	−7.49167	+	9.17379i	−0.552293	+	0.676301i
$185$	−11.0832	+	10.8801i	−0.814851	+	0.799918i
$186$	−15.5995	+	3.65056i	−1.14381	+	0.267672i
$187$	−1.95757	+	3.72966i	−0.143152	+	0.272740i
$188$	−2.67912	+	7.93446i	−0.195395	+	0.578680i
$189$	−1.62307	−	0.672298i	−0.118061	−	0.0489024i
$190$	0.459297	+	18.9101i	0.0333209	+	1.37188i
$191$	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	$0.694416\pi$
$192$	14.4006	−	0.0696841i	1.03928	−	0.00502902i
$193$	3.13905	−	2.09745i	0.225954	−	0.150977i	−0.437441	−	0.899247i	$-0.644115\pi$
$193$	3.13905	−	2.09745i	0.225954	−	0.150977i	0.663395	+	0.748270i	$0.269115\pi$
$194$	−17.4997	+	18.7145i	−1.25641	+	1.34362i
$195$	−14.2666	−	14.5329i	−1.02165	−	1.04072i
$196$	−9.04923	+	10.3523i	−0.646373	+	0.739450i
$197$	−3.50191	+	17.6053i	−0.249501	+	1.25433i	0.629310	+	0.777155i	$0.283338\pi$
$197$	−3.50191	+	17.6053i	−0.249501	+	1.25433i	−0.878811	+	0.477171i	$0.841662\pi$
$198$	0.237190	−	0.253655i	0.0168564	−	0.0180265i
$199$	0.869525	−	1.30134i	0.0616390	−	0.0922493i	−0.799370	−	0.600839i	$-0.794833\pi$
$199$	0.869525	−	1.30134i	0.0616390	−	0.0922493i	0.861009	+	0.508590i	$0.169833\pi$
$200$	14.0499	+	1.61224i	0.993480	+	0.114002i
$201$	−2.14363	−	10.7768i	−0.151200	−	0.760134i
$202$	−0.858859	−	1.19650i	−0.0604291	−	0.0841852i
$203$	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
$207$	−0.836914	−	0.559208i	−0.0581696	−	0.0388677i
$208$	−16.0955	−	12.2682i	−1.11602	−	0.850649i
$209$	5.08101	+	3.39502i	0.351461	+	0.234839i
$210$	1.87804	+	0.725002i	0.129597	+	0.0500299i
$211$	−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	$0.368924\pi$
$212$	3.75169	−	0.251977i	0.257667	−	0.0173058i
$213$	−13.9233	−	5.76723i	−0.954011	−	0.395164i
$214$	−5.51013	+	5.89262i	−0.376665	+	0.402811i
$215$	−11.9794	−	8.16564i	−0.816991	−	0.556892i
$216$	−1.41102	−	13.9795i	−0.0960079	−	0.951186i
$217$	−2.22561			−0.151084
$218$	2.59524	−	6.91230i	0.175772	−	0.468160i
$219$	−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
$223$	−12.6697	+	5.24797i	−0.848428	+	0.351430i	−0.764171	−	0.645014i	$-0.776852\pi$
$223$	−12.6697	+	5.24797i	−0.848428	+	0.351430i	−0.0842569	+	0.996444i	$0.526852\pi$
$224$	1.95010	+	0.446416i	0.130297	+	0.0298275i
$225$	−0.0222272	+	1.20163i	−0.00148181	+	0.0801089i
$226$	−8.74337	+	23.2875i	−0.581600	+	1.54906i
$227$	20.0692	−	13.4098i	1.33204	−	0.890040i	0.333431	−	0.942775i	$-0.391794\pi$
$227$	20.0692	−	13.4098i	1.33204	−	0.890040i	0.998609	+	0.0527342i	$0.0167936\pi$
$228$	−20.7924	+	5.60726i	−1.37701	+	0.371350i
$229$	3.01312	+	7.27431i	0.199113	+	0.480700i	0.991624	−	0.129157i	$-0.0412270\pi$
$229$	3.01312	+	7.27431i	0.199113	+	0.480700i	−0.792512	+	0.609857i	$0.791227\pi$
$230$	−11.1858	−	7.08743i	−0.737572	−	0.467331i
$231$	0.540753	−	0.361320i	0.0355790	−	0.0237731i
$232$	9.23776	+	2.77785i	0.606488	+	0.182375i
$233$	16.0164	−	3.18587i	1.04927	−	0.208713i	0.359803	−	0.933028i	$-0.382844\pi$
$233$	16.0164	−	3.18587i	1.04927	−	0.208713i	0.689469	+	0.724315i	$0.257844\pi$
$234$	0.907035	−	1.46126i	0.0592947	−	0.0955254i
$235$	−9.16586	−	1.91148i	−0.597915	−	0.124692i
$236$	−22.2433	+	1.49394i	−1.44792	+	0.0972473i
$237$	−3.03574	−	3.03574i	−0.197192	−	0.197192i
$238$	−0.286197	−	2.04216i	−0.0185514	−	0.132373i
$239$		−	21.3607i		−	1.38171i	−0.722995	−	0.690853i	$-0.757235\pi$
$239$		−	21.3607i		−	1.38171i	0.722995	−	0.690853i	$-0.242765\pi$
$240$	2.00539	+	15.9752i	0.129447	+	1.03120i
$241$	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	$0.244534\pi$
$242$	3.20838	+	13.7100i	0.206242	+	0.881310i
$243$	2.44423	−	0.486188i	0.156797	−	0.0311889i
$244$	4.95913	−	1.33737i	0.317476	−	0.0856165i
$245$	−12.7025	−	8.65852i	−0.811533	−	0.553172i
$246$	17.0848	−	12.2636i	1.08929	−	0.781902i
$247$	27.9604	+	11.5816i	1.77908	+	0.736918i
$248$	−8.42883	−	15.6779i	−0.535231	−	0.995546i
$249$	7.75334	+	1.54224i	0.491348	+	0.0977352i
$250$	0.0915217	+	15.8111i	0.00578834	+	0.999983i
$251$	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	$0.637008\pi$
$252$	−0.0219191	+	0.168593i	−0.00138077	+	0.0106204i
$253$	−3.95236	+	1.63712i	−0.248483	+	0.102925i
$254$	6.53329	−	1.52891i	0.409935	−	0.0959320i
$255$	14.6499	−	7.79822i	0.917411	−	0.488344i
$256$	4.24073	+	15.4278i	0.265046	+	0.964236i
$257$	−10.2055	−	24.6382i	−0.636601	−	1.53689i	−0.831179	−	0.556004i	$-0.812334\pi$
$257$	−10.2055	−	24.6382i	−0.636601	−	1.53689i	0.194578	−	0.980887i	$-0.437666\pi$
$258$	5.80159	−	15.4522i	0.361191	−	0.962014i
$259$	−1.73689	−	1.73689i	−0.107925	−	0.107925i
$260$	11.4626	−	19.5084i	0.710883	−	1.20986i
$261$	−0.159930	+	0.804025i	−0.00989945	+	0.0497679i
$262$	13.9049	−	0.466425i	0.859046	−	0.0288158i
$263$	14.6073	+	6.05054i	0.900725	+	0.373092i	0.784499	−	0.620130i	$-0.212920\pi$
$263$	14.6073	+	6.05054i	0.900725	+	0.373092i	0.116226	+	0.993223i	$0.462920\pi$
$264$	4.59319	+	2.44084i	0.282691	+	0.150223i
$265$	0.781989	+	4.13060i	0.0480372	+	0.253741i
$266$	−2.98996	+	0.100295i	−0.183326	+	0.00614949i
$267$	−4.41104	+	0.877411i	−0.269951	+	0.0536967i
$268$	10.9404	−	5.41714i	0.668289	−	0.330905i
$269$	0.652091	+	3.27828i	0.0397587	+	0.199880i	0.995559	−	0.0941347i	$-0.0300084\pi$
$269$	0.652091	+	3.27828i	0.0397587	+	0.199880i	−0.955801	+	0.294015i	$0.905008\pi$
$270$	15.3282	−	3.43788i	0.932844	−	0.209222i
$271$			15.3023i			0.929549i	0.885429	+	0.464775i	$0.153865\pi$
$271$			15.3023i			0.929549i	−0.885429	+	0.464775i	$0.846135\pi$
$272$	13.3017	−	9.75012i	0.806534	−	0.591188i
$273$	2.27752	−	2.27752i	0.137842	−	0.137842i
$274$	−4.97233	+	30.2688i	−0.300389	+	1.82861i
$275$	4.19395	+	2.91592i	0.252905	+	0.175837i
$276$	4.82298	−	14.2837i	0.290309	−	0.859778i
$277$	−5.35442	−	26.9185i	−0.321716	−	1.61737i	−0.715804	−	0.698301i	$-0.753940\pi$
$277$	−5.35442	−	26.9185i	−0.321716	−	1.61737i	0.394088	−	0.919073i	$-0.371060\pi$
$278$	18.4930	+	17.2926i	1.10914	+	1.03714i
$279$	1.25776	−	0.840409i	0.0753002	−	0.0503140i
$280$	−0.234427	+	2.22436i	−0.0140097	+	0.132931i
$281$	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	$0.345140\pi$
$282$	−0.357368	−	10.6537i	−0.0212809	−	0.634419i
$283$	−5.43504	+	3.63158i	−0.323080	+	0.215875i	−0.706524	−	0.707689i	$-0.749738\pi$
$283$	−5.43504	+	3.63158i	−0.323080	+	0.215875i	0.383444	+	0.923564i	$0.374738\pi$
$284$	2.15876	−	16.6043i	0.128099	−	0.985285i
$285$	−9.00779	−	22.3286i	−0.533576	−	1.32263i
$286$	−3.02216	−	6.65578i	−0.178704	−	0.393564i
$287$	2.69916	−	1.11803i	0.159326	−	0.0659951i
$288$	−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
$292$	−8.25652	−	1.07345i	−0.483176	−	0.0628187i
$293$			7.83256i			0.457583i	0.973475	+	0.228792i	$0.0734774\pi$
$293$			7.83256i			0.457583i	−0.973475	+	0.228792i	$0.926523\pi$
$294$	6.15177	−	16.3849i	0.358778	−	0.955588i
$295$	−4.63632	−	24.4898i	−0.269937	−	1.42585i
$296$	5.65725	−	18.8132i	0.328821	−	1.09349i
$297$	1.94209	−	4.68863i	0.112692	−	0.272062i
$298$	−10.8799	−	1.78726i	−0.630253	−	0.103533i
$299$	−17.6162	+	11.7708i	−1.01877	+	0.680720i
$300$	−17.4638	+	4.36481i	−1.00827	+	0.252003i
$301$	1.27388	−	1.90649i	0.0734251	−	0.109888i
$302$	27.0682	−	6.33444i	1.55760	−	0.364506i
$303$	1.55877	+	1.04154i	0.0895491	+	0.0598348i
$304$	−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	$-0.779946\pi$
$307$	−2.32774	+	2.32774i	−0.132851	+	0.132851i	0.637554	+	0.770405i	$0.279946\pi$
$308$	0.544032	+	0.475553i	0.0309991	+	0.0270971i
$309$	−23.6096	+	4.69624i	−1.34310	+	0.267160i
$310$	16.2738	−	11.4549i	0.924288	−	0.650597i
$311$	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	$-0.0649143\pi$
$312$	24.6690	+	7.41812i	1.39661	+	0.419968i
$313$	9.32139	+	1.85414i	0.526876	+	0.104802i	0.451359	−	0.892342i	$-0.350939\pi$
$313$	9.32139	+	1.85414i	0.526876	+	0.104802i	0.0755170	+	0.997145i	$0.475939\pi$
$314$	3.73015	+	5.19656i	0.210504	+	0.293259i
$315$	−0.190071	−	0.00175777i	−0.0107093	−	9.90389e-5i
$316$	2.37830	−	4.13472i	0.133790	−	0.232596i
$317$	16.1813	+	24.2171i	0.908835	+	1.36017i	0.932777	+	0.360454i	$0.117378\pi$
$317$	16.1813	+	24.2171i	0.908835	+	1.36017i	−0.0239418	+	0.999713i	$0.507622\pi$
$318$	−4.35794	+	1.97879i	−0.244381	+	0.110965i
$319$	2.46369	+	2.46369i	0.137940	+	0.137940i
$320$	−16.5569	+	6.77272i	−0.925558	+	0.378607i
$321$	3.92971	−	9.48716i	0.219335	−	0.529522i
$322$	1.10452	−	1.77941i	0.0615524	−	0.0991626i
$323$	−15.5020	+	19.1820i	−0.862555	+	1.06732i
$324$	8.57591	+	17.3197i	0.476439	+	0.962208i
$325$	23.1888	+	10.1115i	1.28628	+	0.560885i
$326$	−5.55383	−	12.2313i	−0.307598	−	0.677430i
$327$			9.39811i			0.519717i
$328$	18.0980	+	14.7795i	0.999294	+	0.816062i
$329$	0.288896	−	1.45238i	0.0159274	−	0.0800722i
$330$	−2.09434	+	5.42518i	−0.115290	+	0.298646i
$331$	−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	$0.392328\pi$
$332$	0.588578	+	8.76336i	0.0323024	+	0.480952i
$333$	1.63744	+	0.325707i	0.0897311	+	0.0178486i
$334$	−19.2162	+	0.644588i	−1.05146	+	0.0352703i
$335$	7.47772	+	11.4184i	0.408552	+	0.623854i
$336$	−2.52355	+	0.340518i	−0.137671	+	0.0185768i
$337$	−3.54516	+	5.30570i	−0.193117	+	0.289020i	−0.915374	−	0.402605i	$-0.868105\pi$
$337$	−3.54516	+	5.30570i	−0.193117	+	0.289020i	0.722257	+	0.691625i	$0.243105\pi$
$338$	−10.3896	−	14.4740i	−0.565121	−	0.787283i
$339$		−	31.6622i		−	1.71966i
$340$	12.6034	+	13.4593i	0.683517	+	0.729935i
$341$		−	6.42922i		−	0.348162i
$342$	1.65185	−	1.18571i	0.0893217	−	0.0641161i
$343$	2.72611	−	4.07991i	0.147196	−	0.220295i
$344$	18.2543	+	1.75331i	0.984208	+	0.0945323i
$345$	16.5005	+	3.44107i	0.888355	+	0.185261i
$346$	0.779269	+	23.2313i	0.0418938	+	1.24892i
$347$	−3.81169	−	0.758191i	−0.204622	−	0.0407018i	0.0917150	−	0.995785i	$-0.470765\pi$
$347$	−3.81169	−	0.758191i	−0.204622	−	0.0407018i	−0.296337	+	0.955083i	$0.595765\pi$
$348$	−12.2509	+	0.822816i	−0.656719	+	0.0441076i
$349$	12.8030	−	5.30318i	0.685329	−	0.283873i	−0.0127234	−	0.999919i	$-0.504050\pi$
$349$	12.8030	−	5.30318i	0.685329	−	0.283873i	0.698053	+	0.716046i	$0.254050\pi$
$350$	−2.50040	+	0.0375990i	−0.133652	+	0.00200975i
$351$	4.90333	−	24.6507i	0.261720	−	1.31576i
$352$	−1.28958	+	5.63334i	−0.0687350	+	0.300258i
$353$			4.28015i			0.227809i	0.993492	+	0.113905i	$0.0363358\pi$
$353$			4.28015i			0.227809i	−0.993492	+	0.113905i	$0.963664\pi$
$354$	25.8377	−	11.7320i	1.37326	−	0.623551i
$355$	18.7196	+	0.173118i	0.993535	+	0.00918815i
$356$	−2.21730	−	4.47801i	−0.117516	−	0.237334i
$357$	1.25472	+	2.30548i	0.0664067	+	0.122019i
$358$	19.0372	+	11.8168i	1.00615	+	0.624539i
$359$	−12.8794	+	31.0937i	−0.679750	+	1.64106i	0.0847229	+	0.996405i	$0.472999\pi$
$359$	−12.8794	+	31.0937i	−0.679750	+	1.64106i	−0.764473	+	0.644656i	$0.777001\pi$
$360$	−0.707455	−	1.34558i	−0.0372862	−	0.0709181i
$361$	11.8654	+	11.8654i	0.624494	+	0.624494i
$362$	−12.9699	−	28.5640i	−0.681685	−	1.50129i
$363$	−9.95715	−	14.9019i	−0.522615	−	0.782149i
$364$	3.10202	+	1.78429i	0.162590	+	0.0935220i
$365$	0.0860832	−	9.30836i	0.00450580	−	0.487222i
$366$	−5.31117	+	3.81241i	−0.277619	+	0.199278i
$367$	−19.9494	−	3.96818i	−1.04135	−	0.207137i	−0.355346	−	0.934735i	$-0.615637\pi$
$367$	−19.9494	−	3.96818i	−1.04135	−	0.207137i	−0.686004	+	0.727598i	$0.740637\pi$
$368$	16.7177	+	1.04159i	0.871472	+	0.0542965i
$369$	−1.10320	+	1.65106i	−0.0574304	+	0.0859507i
$370$	21.6398	+	3.76066i	1.12500	+	0.195508i
$371$	−0.652111	+	0.129713i	−0.0338559	+	0.00673436i
$372$	17.0585	+	14.9113i	0.884443	+	0.773116i
$373$	19.9125	−	19.9125i	1.03103	−	1.03103i	0.0315254	−	0.999503i	$-0.489964\pi$
$373$	19.9125	−	19.9125i	1.03103	−	1.03103i	0.999503	−	0.0315254i	$-0.0100365\pi$
$374$	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
$377$	14.3474	+	9.58661i	0.738928	+	0.493736i
$378$	0.566119	+	2.41913i	0.0291180	+	0.124427i
$379$	−1.80663	+	2.70381i	−0.0928001	+	0.138885i	−0.874965	−	0.484187i	$-0.839116\pi$
$379$	−1.80663	+	2.70381i	−0.0928001	+	0.138885i	0.782165	+	0.623072i	$0.214116\pi$
$380$	21.3465	−	16.1223i	1.09505	−	0.827058i
$381$	−7.10130	+	4.74494i	−0.363811	+	0.243091i
$382$	1.10087	−	6.70148i	0.0563253	−	0.342877i
$383$	−10.4392	+	25.2025i	−0.533420	+	1.28779i	0.395826	+	0.918326i	$0.370458\pi$
$383$	−10.4392	+	25.2025i	−0.533420	+	1.28779i	−0.929245	+	0.369463i	$0.879542\pi$
$384$	−11.9559	−	16.4871i	−0.610122	−	0.841352i
$385$	−0.455020	+	0.667539i	−0.0231900	+	0.0340209i
$386$	−4.99840	−	1.87666i	−0.254412	−	0.0955196i
$387$			1.55845i			0.0792202i
$388$	35.9322	+	4.67162i	1.82418	+	0.237165i
$389$	5.83137	−	14.0782i	0.295662	−	0.713792i	−0.704330	−	0.709873i	$-0.748752\pi$
$389$	5.83137	−	14.0782i	0.295662	−	0.713792i	0.999992	−	0.00391920i	$-0.00124752\pi$
$390$	−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
$393$	−16.3610	+	6.77693i	−0.825302	+	0.341851i
$394$	23.1142	−	10.4954i	1.16448	−	0.528750i
$395$	4.90792	+	2.08631i	0.246944	+	0.104973i
$396$	−0.487022	−	0.0633187i	−0.0244738	−	0.00318188i
$397$	−4.55419	+	3.04301i	−0.228568	+	0.152724i	−0.664581	−	0.747216i	$-0.731390\pi$
$397$	−4.55419	+	3.04301i	−0.228568	+	0.152724i	0.436013	+	0.899940i	$0.356390\pi$
$398$	−2.21215	+	0.0742042i	−0.110885	+	0.00371952i
$399$	3.51809	−	1.45724i	0.176125	−	0.0729533i
$400$	−9.73437	−	17.4712i	−0.486719	−	0.873559i
$401$	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	$0.0827488\pi$
$402$	−10.6133	+	11.3501i	−0.529345	+	0.566090i
$403$	−6.21181	−	31.2289i	−0.309432	−	1.55562i
$404$	−0.666345	+	1.97344i	−0.0331519	+	0.0981824i
$405$	−18.0765	+	11.8380i	−0.898230	+	0.588236i
$406$	−1.68316	−	0.276497i	−0.0835339	−	0.0137223i
$407$	5.01744	−	5.01744i	0.248705	−	0.248705i
$408$	−11.4886	+	17.5699i	−0.568771	+	0.869840i
$409$			32.1531i			1.58987i	0.606697	+	0.794933i	$0.292494\pi$
$409$			32.1531i			1.58987i	−0.606697	+	0.794933i	$0.707506\pi$
$410$	−13.9820	+	22.0673i	−0.690523	+	1.08983i
$411$	−7.61720	−	38.2942i	−0.375729	−	1.88892i
$412$	−11.8678	−	23.9680i	−0.584685	−	1.18082i
$413$	3.86629	−	0.769054i	0.190248	−	0.0378427i
$414$	0.0477222	+	1.42267i	0.00234542	+	0.0699206i
$415$	−9.64843	+	1.82660i	−0.473623	+	0.0896644i
$416$	−0.821089	+	28.6090i	−0.0402572	+	1.40267i
$417$	−29.7739	−	12.3328i	−1.45803	−	0.603938i
$418$	−0.289727	−	8.63723i	−0.0141710	−	0.422461i
$419$	5.12363	−	25.7582i	0.250306	−	1.25837i	−0.627220	−	0.778842i	$-0.715807\pi$
$419$	5.12363	−	25.7582i	0.250306	−	1.25837i	0.877526	−	0.479530i	$-0.159193\pi$
$420$	−0.715838	−	2.75552i	−0.0349293	−	0.134456i
$421$	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	$0.736485\pi$
$422$	6.78249	+	2.54650i	0.330166	+	0.123962i
$423$	0.385166	+	0.929874i	0.0187274	+	0.0452120i
$424$	−3.38341	−	4.10242i	−0.164313	−	0.199231i
$425$	−13.2523	+	15.7917i	−0.642830	+	0.766009i
$426$	4.85640	+	20.7522i	0.235293	+	1.00545i
$427$	−0.839091	+	0.347563i	−0.0406065	+	0.0168198i
$428$	11.3139	+	1.47095i	0.546880	+	0.0711009i
$429$	6.57917	+	6.57917i	0.317645	+	0.317645i
$430$	0.497838	+	20.4969i	0.0240079	+	0.988446i
$431$	−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	$0.897775\pi$
$432$	−14.8971	+	13.1496i	−0.716736	+	0.632663i
$433$	−3.89022	−	1.61138i	−0.186952	−	0.0774381i	0.287244	−	0.957858i	$-0.407261\pi$
$433$	−3.89022	−	1.61138i	−0.186952	−	0.0774381i	−0.474196	+	0.880419i	$0.657261\pi$
$434$	1.83540	+	2.55695i	0.0881022	+	0.122737i
$435$	−2.55354	−	13.4882i	−0.122433	−	0.646711i
$436$	−10.0816	+	2.71879i	−0.482820	+	0.130206i
$437$	−24.5671	+	4.88670i	−1.17520	+	0.233762i
$438$	10.3191	−	2.41485i	0.493065	−	0.115386i
$439$	6.52998	−	1.29889i	0.311659	−	0.0619928i	−0.0367827	−	0.999323i	$-0.511711\pi$
$439$	6.52998	−	1.29889i	0.311659	−	0.0619928i	0.348442	+	0.937330i	$0.386711\pi$
$440$	−6.42560	−	0.677198i	−0.306328	−	0.0322841i
$441$			1.65251i			0.0786910i
$442$	27.8560	−	9.71558i	1.32497	−	0.462123i
$443$	−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	$0.983047\pi$
$444$	1.67571	+	24.9497i	0.0795256	+	1.18406i
$445$	4.67367	−	3.06071i	0.221553	−	0.145092i
$446$	16.4777	+	10.2281i	0.780240	+	0.484312i
$447$	13.7645	−	2.73794i	0.651040	−	0.129500i
$448$	−1.09532	−	2.60857i	−0.0517491	−	0.123243i
$449$	−19.1197	+	12.7754i	−0.902314	+	0.602907i	−0.917831	−	0.396972i	$-0.870061\pi$
$449$	−19.1197	+	12.7754i	−0.902314	+	0.602907i	0.0155162	+	0.999880i	$0.495061\pi$
$450$	1.39886	−	0.965420i	0.0659427	−	0.0455103i
$451$	3.22970	+	7.79718i	0.152080	+	0.367155i
$452$	33.9649	−	9.15960i	1.59757	−	0.430831i
$453$	−29.4215	+	19.6588i	−1.38234	+	0.923653i
$454$	−31.9567	−	11.9983i	−1.49980	−	0.563106i
$455$	−1.56522	+	3.68210i	−0.0733787	+	0.172619i
$456$	23.5890	+	19.2636i	1.10465	+	0.902103i
$457$	−32.3775	+	13.4112i	−1.51455	+	0.627349i	−0.976491	−	0.215557i	$-0.930843\pi$
$457$	−32.3775	+	13.4112i	−1.51455	+	0.627349i	−0.538062	+	0.842905i	$0.680843\pi$
$458$	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	$-0.882380\pi$
$461$	−0.380963	+	0.919727i	−0.0177432	+	0.0428360i	0.914760	+	0.403999i	$0.132380\pi$
$462$	−0.861057	−	0.323286i	−0.0400600	−	0.0150406i
$463$	−11.2982			−0.525071			−0.262536	−	0.964922i	$-0.584559\pi$
$463$	−11.2982			−0.525071			−0.262536	+	0.964922i	$0.584559\pi$
$464$	−4.42674	−	12.9038i	−0.205506	−	0.599046i
$465$	−14.2675	+	20.9312i	−0.661639	+	0.970660i
$466$	−16.8685	−	15.7736i	−0.781419	−	0.730696i
$467$	−15.6995	−	6.50295i	−0.726486	−	0.300920i	−0.0113791	−	0.999935i	$-0.503622\pi$
$467$	−15.6995	−	6.50295i	−0.726486	−	0.300920i	−0.715107	+	0.699015i	$0.753622\pi$
$468$	−2.42681	+	0.162993i	−0.112179	+	0.00753436i
$469$	−1.79489	+	1.19930i	−0.0828801	+	0.0553787i
$470$	5.36280	+	12.1068i	0.247367	+	0.558444i
$471$	−6.76997	−	4.52355i	−0.311944	−	0.208434i
$472$	20.0599	+	24.3228i	0.923331	+	1.11955i
$473$	5.50737	+	3.67991i	0.253229	+	0.169202i
$474$	−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
$478$	−24.5407	+	17.6156i	−1.12247	+	0.805719i
$479$	−3.70087	−	18.6055i	−0.169097	−	0.850109i	−0.968443	−	0.249237i	$-0.919820\pi$
$479$	−3.70087	−	18.6055i	−0.169097	−	0.850109i	0.799345	−	0.600872i	$-0.205180\pi$
$480$	16.6997	−	15.4783i	0.762235	−	0.706485i
$481$	19.5236	−	29.2192i	0.890201	−	1.33228i
$482$	−18.2734	−	17.0872i	−0.832329	−	0.778302i
$483$	−0.520074	+	2.61459i	−0.0236642	+	0.118968i
$484$	13.1052	−	14.9923i	0.595689	−	0.681467i
$485$	−0.374633	+	40.5098i	−0.0170112	+	1.83946i
$486$	−2.57426	−	2.40717i	−0.116771	−	0.109191i
$487$	−12.6997	+	8.48568i	−0.575479	+	0.384523i	−0.808982	−	0.587833i	$-0.799981\pi$
$487$	−12.6997	+	8.48568i	−0.575479	+	0.384523i	0.233503	+	0.972356i	$0.424981\pi$
$488$	−5.62614	−	4.59452i	−0.254684	−	0.207984i
$489$	12.0905	+	12.0905i	0.546753	+	0.546753i
$490$	0.527887	+	21.7340i	0.0238475	+	0.981844i
$491$	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	$0.375770\pi$
$492$	−28.1788	−	9.51474i	−1.27040	−	0.428958i
$493$	−10.8025	+	9.00238i	−0.486520	+	0.405447i
$494$	−9.75246	−	41.6740i	−0.438784	−	1.87500i
$495$	0.00507774	−	0.549066i	0.000228227	−	0.0246787i
$496$	−11.0609	+	22.6128i	−0.496647	+	1.01535i
$497$			2.96077i			0.132809i
$498$	−4.62215	−	10.1795i	−0.207124	−	0.456152i
$499$	−6.89612	−	1.37172i	−0.308713	−	0.0614068i	0.0383027	−	0.999266i	$-0.487805\pi$
$499$	−6.89612	−	1.37172i	−0.308713	−	0.0614068i	−0.347016	+	0.937859i	$0.612805\pi$
$500$	18.0895	−	13.1442i	0.808988	−	0.587826i
$501$	22.6104	−	9.36555i	1.01016	−	0.418422i
$502$	2.52465	−	15.3687i	0.112681	−	0.685938i
$503$	−3.59898	+	18.0933i	−0.160471	+	0.806741i	0.813762	+	0.581198i	$0.197416\pi$
$503$	−3.59898	+	18.0933i	−0.160471	+	0.806741i	−0.974233	+	0.225543i	$0.927584\pi$
$504$	0.211768	−	0.113852i	0.00943292	−	0.00507138i
$505$	−2.27971	−	0.475420i	−0.101446	−	0.0211559i
$506$	5.14025	+	3.19067i	0.228512	+	0.141843i
$507$	18.8565	+	12.5995i	0.837445	+	0.559563i
$508$	−7.14436	−	6.24507i	−0.316980	−	0.277080i
$509$		−	0.792404i		−	0.0351227i	−0.999846	−	0.0175613i	$-0.994410\pi$
$509$		−	0.792404i		−	0.0351227i	0.999846	−	0.0175613i	$-0.00559024\pi$
$510$	−21.0406	−	10.3999i	−0.931692	−	0.460514i
$511$	1.47225			0.0651283
$512$	14.2273	−	17.5950i	0.628766	−	0.777595i
$513$	16.5085	−	24.7068i	0.728870	−	1.09083i
$514$	−19.8900	+	32.0434i	−0.877311	+	1.41337i
$515$	25.0153	−	16.3821i	1.10231	−	0.721882i
$516$	−22.5371	+	6.07778i	−0.992140	+	0.267559i
$517$	4.19555	+	0.834546i	0.184520	+	0.0367033i
$518$	−0.563100	+	3.42785i	−0.0247412	+	0.150611i
$519$	−11.3224	−	27.3347i	−0.496999	−	1.19986i
$520$	−31.8656	+	2.91894i	−1.39740	+	0.128004i
$521$	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	$-0.0121341\pi$
$522$	1.05561	−	0.479319i	0.0462030	−	0.0209792i
$523$	−20.3746			−0.890921			−0.445460	−	0.895302i	$-0.646960\pi$
$523$	−20.3746			−0.890921			−0.445460	+	0.895302i	$0.646960\pi$
$524$	−12.0029	−	15.5903i	−0.524348	−	0.681066i
$525$	2.96276	−	1.16350i	0.129305	−	0.0507792i
$526$	−5.09496	−	21.7717i	−0.222151	−	0.949290i
$527$	25.8413	+	2.34878i	1.12566	+	0.102314i
$528$	−0.983667	−	7.28989i	−0.0428086	−	0.317252i
$529$	−2.09119	+	5.04859i	−0.0909214	+	0.219504i
$530$	4.10065	−	4.30480i	0.178121	−	0.186989i
$531$	−1.89456	+	1.89456i	−0.0822170	+	0.0822170i
$532$	2.58097	+	3.35238i	0.111899	+	0.145344i
$533$	23.2212	+	34.7531i	1.00582	+	1.50532i
$534$	4.64571	+	4.34415i	0.201040	+	0.187990i
$535$	−0.117960	+	12.7553i	−0.00509986	+	0.551459i
$536$	−15.2459	−	8.10171i	−0.658520	−	0.349941i
$537$	−27.9725	−	5.56407i	−1.20710	−	0.240108i
$538$	3.22857	−	3.45268i	0.139193	−	0.148856i
$539$	5.83979	+	3.90202i	0.251537	+	0.168072i
$540$	−16.5905	−	14.7750i	−0.713940	−	0.635816i
$541$	−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	$0.584023\pi$
$542$	17.5804	−	12.6194i	0.755144	−	0.542051i
$543$	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
$547$	−19.9336	+	29.8328i	−0.852301	+	1.27556i	0.107310	+	0.994226i	$0.465776\pi$
$547$	−19.9336	+	29.8328i	−0.852301	+	1.27556i	−0.959610	+	0.281332i	$0.909224\pi$
$548$	38.8756	−	19.2493i	1.66068	−	0.822291i
$549$	0.342954	−	0.513266i	0.0146369	−	0.0219057i
$550$	−0.108614	−	7.22301i	−0.00463130	−	0.307990i
$551$	11.3339	+	16.9624i	0.482841	+	0.722622i
$552$	−20.3876	+	6.23841i	−0.867752	+	0.265524i
$553$	−0.322772	+	0.779240i	−0.0137256	+	0.0331366i
$554$	−26.5103	+	28.3505i	−1.12631	+	1.20450i
$555$	−27.4695	+	5.20042i	−1.16602	+	0.220746i
$556$	4.61633	−	35.5070i	0.195776	−	1.50583i
$557$		−	1.96658i		−	0.0833268i	−0.999132	−	0.0416634i	$-0.986734\pi$
$557$		−	1.96658i		−	0.0833268i	0.999132	−	0.0416634i	$-0.0132657\pi$
$558$	−2.00277	−	0.751945i	−0.0847840	−	0.0318324i
$559$	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
$563$	−9.62130	−	23.2279i	−0.405489	−	0.978938i	−0.986309	−	0.164906i	$-0.947268\pi$
$563$	−9.62130	−	23.2279i	−0.405489	−	0.978938i	0.580820	−	0.814032i	$-0.302732\pi$
$564$	−11.9450	+	9.19641i	−0.502977	+	0.387239i
$565$	14.7145	+	36.4743i	0.619042	+	1.53448i
$566$	8.65437	+	3.24931i	0.363770	+	0.136579i
$567$	−1.89862	−	2.84149i	−0.0797347	−	0.119331i
$568$	−20.8565	+	11.2130i	−0.875121	+	0.470488i
$569$	35.4285	−	14.6750i	1.48524	−	0.615206i	0.514964	−	0.857212i	$-0.327805\pi$
$569$	35.4285	−	14.6750i	1.48524	−	0.615206i	0.970275	+	0.242005i	$0.0778051\pi$
$570$	−18.2242	+	28.7626i	−0.763328	+	1.20473i
$571$	−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	$0.813151\pi$
$572$	−5.15435	+	8.96094i	−0.215514	+	0.374676i
$573$	1.68644	+	8.47830i	0.0704520	+	0.354186i
$574$	−3.51040	−	2.17899i	−0.146521	−	0.0909491i
$575$	−20.6074	+	3.70425i	−0.859388	+	0.154478i
$576$	1.60402	+	1.06058i	0.0668341	+	0.0441908i
$577$	6.13086	−	6.13086i	0.255231	−	0.255231i	−0.567880	−	0.823111i	$-0.692236\pi$
$577$	6.13086	−	6.13086i	0.255231	−	0.255231i	0.823111	+	0.567880i	$0.192236\pi$
$578$	1.16782	+	24.0133i	0.0485748	+	0.998820i
$579$	6.79593			0.282429
$580$	13.7304	−	6.64127i	0.570126	−	0.275764i
$581$	−0.302989	−	1.52323i	−0.0125701	−	0.0631942i
$582$	−44.9085	+	10.5094i	−1.86152	+	0.435628i
$583$	−0.374707	−	1.88378i	−0.0155188	−	0.0780182i
$584$	5.57569	+	10.3709i	0.230724	+	0.429153i
$585$	−0.505835	−	2.67191i	−0.0209137	−	0.110470i
$586$	8.99863	−	6.45931i	0.371730	−	0.266832i
$587$	−2.73234	+	6.59645i	−0.112776	+	0.272265i	−0.970183	−	0.242374i	$-0.922074\pi$
$587$	−2.73234	+	6.59645i	−0.112776	+	0.272265i	0.857407	+	0.514639i	$0.172074\pi$
$588$	−23.8974	+	6.44463i	−0.985513	+	0.265772i
$589$	7.34400	−	36.9208i	0.302604	−	1.52129i
$590$	−24.3123	+	25.5227i	−1.00092	+	1.05075i
$591$	−22.8482	+	22.8482i	−0.939849	+	0.939849i
$592$	−26.2794	+	9.01529i	−1.08008	+	0.370526i
$593$	−3.02622	−	7.30594i	−0.124272	−	0.300019i	0.849484	−	0.527615i	$-0.176913\pi$
$593$	−3.02622	−	7.30594i	−0.124272	−	0.300019i	−0.973756	+	0.227596i	$0.926913\pi$
$594$	−6.98824	+	1.63537i	−0.286731	+	0.0671002i
$595$	−2.51684	−	2.07276i	−0.103180	−	0.0849747i
$596$	6.91901	+	13.9735i	0.283414	+	0.572377i
$597$	2.60289	−	1.07815i	0.106529	−	0.0441258i
$598$	28.0507	+	10.5317i	1.14708	+	0.430674i
$599$	−5.10336	+	5.10336i	−0.208518	+	0.208518i	−0.803637	−	0.595120i	$-0.797105\pi$
$599$	−5.10336	+	5.10336i	−0.208518	+	0.208518i	0.595120	+	0.803637i	$0.297105\pi$
$600$	19.4166	+	16.4642i	0.792679	+	0.672148i
$601$	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	$0.490543\pi$
$602$	−3.24086	+	0.108711i	−0.132087	+	0.00443074i
$603$	0.561478	−	1.35553i	0.0228651	−	0.0552014i
$604$	−29.5999	−	25.8741i	−1.20440	−	1.05280i
$605$	18.3959	+	12.5393i	0.747898	+	0.509796i
$606$	−0.0888836	−	2.64976i	−0.00361065	−	0.107639i
$607$	1.49003	+	7.49089i	0.0604785	+	0.304046i	0.999171	−	0.0407096i	$-0.0129618\pi$
$607$	1.49003	+	7.49089i	0.0604785	+	0.304046i	−0.938693	+	0.344755i	$0.887962\pi$
$608$	−13.8405	+	30.8773i	−0.561307	+	1.25224i
$609$	2.12943	−	0.423570i	0.0862890	−	0.0171639i
$610$	4.34661	−	6.86010i	0.175989	−	0.277757i
$611$	21.1855			0.857075
$612$	0.432423	−	1.93438i	0.0174797	−	0.0781926i
$613$	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	$0.731933\pi$
$614$	4.59390	+	0.754650i	0.185395	+	0.0304552i
$615$	6.78852	−	32.5520i	0.273740	−	1.31262i
$616$	0.0977012	−	1.01720i	0.00393649	−	0.0409842i
$617$	−6.51473	+	1.29586i	−0.262273	+	0.0521694i	−0.324475	−	0.945894i	$-0.605188\pi$
$617$	−6.51473	+	1.29586i	−0.262273	+	0.0521694i	0.0622021	+	0.998064i	$0.480188\pi$
$618$	24.8656	+	23.2516i	1.00024	+	0.935316i
$619$	0.230669	+	0.345220i	0.00927135	+	0.0138756i	0.836076	−	0.548613i	$-0.184844\pi$
$619$	0.230669	+	0.345220i	0.00927135	+	0.0138756i	−0.826805	+	0.562489i	$0.809844\pi$
$620$	−26.5809	−	9.24990i	−1.06751	−	0.371485i
$621$	7.96061	+	19.2186i	0.319448	+	0.771217i
$622$	−35.5169	+	1.19138i	−1.42410	+	0.0477699i
$623$	0.490888	+	0.734666i	0.0196670	+	0.0294338i
$624$	−11.8214	−	34.4591i	−0.473234	−	1.37947i
$625$	17.0118	+	18.3193i	0.680473	+	0.732773i
$626$	−5.55694	−	12.2382i	−0.222100	−	0.489136i
$627$	4.20960	+	10.1629i	0.168115	+	0.405866i
$628$	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	0.974575	−	0.224063i	$-0.0719321\pi$
$631$	37.8119	+	15.6622i	1.50527	+	0.623502i	0.530692	+	0.847565i	$0.321932\pi$
$632$	−6.71160	+	0.677435i	−0.266973	+	0.0269469i
$633$	−9.22162			−0.366527
$634$	14.4780	−	38.5616i	0.574997	−	1.53148i
$635$	5.97543	−	8.76628i	0.237128	−	0.347879i
$636$	5.86726	+	3.37486i	0.232652	+	0.133822i
$637$	32.1359	+	13.3111i	1.27327	+	0.527406i
$638$	0.798728	−	4.86222i	0.0316219	−	0.192497i
$639$	−1.11801	−	1.67322i	−0.0442278	−	0.0661916i
$640$	21.4350	+	13.4365i	0.847294	+	0.531123i
$641$	−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	$0.970268\pi$
$642$	−14.1403	+	3.30908i	−0.558073	+	0.130599i
$643$	−4.13774	+	6.19256i	−0.163176	+	0.244211i	−0.904043	−	0.427441i	$-0.859415\pi$
$643$	−4.13774	+	6.19256i	−0.163176	+	0.244211i	0.740867	+	0.671652i	$0.234415\pi$
$644$	−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	−0.831670	−	0.555271i	$-0.812615\pi$
$647$	−35.2785	−	35.2785i	−1.38694	−	1.38694i	−0.555271	−	0.831670i	$-0.687385\pi$
$648$	12.8259	−	24.1358i	0.503848	−	0.948143i
$649$	2.22160	+	11.1687i	0.0872053	+	0.438411i
$650$	−7.50634	−	34.9797i	−0.294423	−	1.37202i
$651$	−3.33114	−	2.22580i	−0.130558	−	0.0872358i
$652$	−9.47213	+	16.4675i	−0.370957	+	0.644917i
$653$	−7.31962	+	36.7982i	−0.286439	+	1.44003i	0.522754	+	0.852483i	$0.324905\pi$
$653$	−7.31962	+	36.7982i	−0.286439	+	1.44003i	−0.809193	+	0.587543i	$0.800095\pi$
$654$	10.7972	−	7.75038i	0.422206	−	0.303064i
$655$	15.6981	−	15.4104i	0.613374	−	0.602133i
$656$	2.05483	−	32.9806i	0.0802278	−	1.28768i
$657$	−0.832011	+	0.555932i	−0.0324599	+	0.0216890i
$658$	−1.90685	+	0.865835i	−0.0743366	+	0.0337538i
$659$	23.2005	−	23.2005i	0.903762	−	0.903762i	−0.0919975	−	0.995759i	$-0.529325\pi$
$659$	23.2005	−	23.2005i	0.903762	−	0.903762i	0.995759	+	0.0919975i	$0.0293252\pi$
$660$	7.96000	−	2.06787i	0.309843	−	0.0804918i
$661$	−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	$0.887545\pi$
$662$	2.37894	+	1.47666i	0.0924602	+	0.0573921i
$663$	−28.8475	+	24.0404i	−1.12035	+	0.933653i
$664$	9.58261	−	7.90312i	0.371877	−	0.306701i
$665$	−3.37555	+	3.31369i	−0.130898	+	0.128499i
$666$	−0.976158	−	2.14981i	−0.0378254	−	0.0833036i
$667$	−14.2816			−0.552987
$668$	16.5877	+	21.5454i	0.641796	+	0.833617i
$669$	−24.2116	−	4.81598i	−0.936074	−	0.186197i
$670$	6.95161	−	18.0074i	0.268564	−	0.695687i
$671$	−1.00402	−	2.42392i	−0.0387598	−	0.0935743i
$672$	2.47232	+	2.61843i	0.0953719	+	0.101008i
$673$	0.416101	−	2.09188i	0.0160395	−	0.0806360i	−0.971936	−	0.235243i	$-0.924411\pi$
$673$	0.416101	−	2.09188i	0.0160395	−	0.0806360i	0.987976	+	0.154607i	$0.0494113\pi$
$674$	9.01918	−	0.302539i	0.347406	−	0.0116534i
$675$	14.1789	−	20.3934i	0.545746	−	0.784942i
$676$	−8.06078	+	23.8727i	−0.310030	+	0.918182i
$677$	−13.5429	−	9.04907i	−0.520496	−	0.347784i	0.267407	−	0.963584i	$-0.413833\pi$
$677$	−13.5429	−	9.04907i	−0.520496	−	0.347784i	−0.787903	+	0.615799i	$0.788833\pi$
$678$	−36.3759	+	26.1110i	−1.39701	+	1.00279i
$679$	−6.40719			−0.245885
$680$	5.06935	−	25.5793i	0.194401	−	0.980922i
$681$	43.4491			1.66497
$682$	−7.38636	+	5.30201i	−0.282838	+	0.203025i
$683$	14.7330	+	9.84426i	0.563741	+	0.376680i	0.804543	−	0.593894i	$-0.202410\pi$
$683$	14.7330	+	9.84426i	0.563741	+	0.376680i	−0.240802	+	0.970574i	$0.577410\pi$
$684$	−2.72447	−	0.919936i	−0.104173	−	0.0351746i
$685$	26.5714	+	40.5743i	1.01524	+	1.55026i
$686$	−6.93546	+	0.232643i	−0.264797	+	0.00888235i
$687$	−2.76509	+	13.9011i	−0.105495	+	0.530358i
$688$	−13.0396	−	22.4179i	−0.497129	−	0.854673i
$689$	−3.64016	−	8.78813i	−0.138679	−	0.334801i
$690$	−9.65416	−	21.7947i	−0.367528	−	0.829711i
$691$	−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	$0.960368\pi$
$692$	26.0472	−	20.0535i	0.990164	−	0.762321i
$693$	0.0868424			0.00329887
$694$	2.27233	+	5.00441i	0.0862566	+	0.189965i
$695$	40.0304	+	0.370199i	1.51844	+	0.0140424i
$696$	11.0483	+	13.3962i	0.418786	+	0.507783i
$697$	−32.5195	+	10.1327i	−1.23176	+	0.383805i
$698$	−16.6510	−	10.3356i	−0.630250	−	0.391210i
$699$	27.1584	+	11.2494i	1.02723	+	0.425491i
$700$	2.10521	+	2.84164i	0.0795696	+	0.107404i
$701$	−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	$0.336371\pi$
$702$	−32.3642	+	14.6955i	−1.22151	+	0.554646i
$703$	34.5448	−	23.0821i	1.30288	−	0.870558i
$704$	7.53548	−	3.16411i	0.284004	−	0.119252i
$705$	−11.8072	−	12.0276i	−0.444684	−	0.452986i
$706$	4.91735	−	3.52973i	0.185067	−	0.132843i
$707$	0.0718536	−	0.361232i	0.00270233	−	0.0135855i
$708$	−34.7864	−	20.0092i	−1.30735	−	0.751991i
$709$	11.3757	+	7.60103i	0.427225	+	0.285463i	0.750535	−	0.660830i	$-0.229796\pi$
$709$	11.3757	+	7.60103i	0.427225	+	0.285463i	−0.323310	+	0.946293i	$0.604796\pi$
$710$	−15.2387	−	21.6493i	−0.571899	−	0.812482i
$711$	−0.111839	−	0.562254i	−0.00419430	−	0.0210862i
$712$	−3.31612	+	6.24029i	−0.124277	+	0.233865i
$713$	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
$717$	21.3624	−	31.9712i	0.797795	−	1.19398i
$718$	46.3440	−	10.8453i	1.72954	−	0.404744i
$719$	−26.5486	−	17.7392i	−0.990097	−	0.661562i	−0.0486830	−	0.998814i	$-0.515502\pi$
$719$	−26.5486	−	17.7392i	−0.990097	−	0.661562i	−0.941414	+	0.337252i	$0.890502\pi$
$720$	−0.962477	+	1.92244i	−0.0358694	+	0.0716451i
$721$	2.62742	+	3.93222i	0.0978503	+	0.146443i
$722$	3.84675	−	23.4169i	0.143161	−	0.871488i
$723$	29.4203	+	12.1863i	1.09415	+	0.453212i
$724$	−22.1204	+	38.4568i	−0.822099	+	1.42924i
$725$	9.21004	+	14.3515i	0.342052	+	0.533000i
$726$	−8.90903	+	23.7288i	−0.330645	+	0.880657i
$727$	33.7644			1.25225			0.626125	−	0.779722i	$-0.284640\pi$
$727$	33.7644			1.25225			0.626125	+	0.779722i	$0.284640\pi$
$728$	−0.508236	−	5.03529i	−0.0188365	−	0.186620i
$729$	−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
$733$	16.6292	+	40.1465i	0.614215	+	1.48285i	0.858329	+	0.513099i	$0.171503\pi$
$733$	16.6292	+	40.1465i	0.614215	+	1.48285i	−0.244115	+	0.969746i	$0.578497\pi$
$734$	11.8928	+	26.1918i	0.438972	+	0.966757i
$735$	−10.3530	−	25.6630i	−0.381876	−	0.946595i
$736$	−12.5900	−	20.0655i	−0.464075	−	0.739625i
$737$	−3.46448	−	5.18496i	−0.127616	−	0.190991i
$738$	2.80664	−	0.0941459i	0.103314	−	0.00346556i
$739$	−15.4365	−	37.2670i	−0.567840	−	1.37089i	−0.903372	−	0.428859i	$-0.858916\pi$
$739$	−15.4365	−	37.2670i	−0.567840	−	1.37089i	0.335531	−	0.942029i	$-0.391084\pi$
$740$	−13.5253	−	27.9628i	−0.497200	−	1.02793i
$741$	30.2666	+	45.2972i	1.11187	+	1.66404i
$742$	0.686803	+	0.642223i	0.0252133	+	0.0235767i
$743$	1.50429	−	0.299221i	0.0551869	−	0.0109774i	−0.167420	−	0.985886i	$-0.553543\pi$
$743$	1.50429	−	0.299221i	0.0551869	−	0.0109774i	0.222607	+	0.974908i	$0.428543\pi$
$744$	3.06349	−	31.8951i	0.112313	−	1.16933i
$745$	−14.5841	+	9.55087i	−0.534319	+	0.349917i
$746$	−39.2982	−	6.45561i	−1.43881	−	0.236357i
$747$	0.746413	+	0.746413i	0.0273098	+	0.0273098i
$748$	−5.81481	−	6.09572i	−0.212610	−	0.222882i
$749$	−2.01742			−0.0737151
$750$	−15.6755	+	23.7565i	−0.572387	+	0.867465i
$751$	−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	$0.500210\pi$
$752$	−13.3208	−	10.1533i	−0.485760	−	0.370253i
$753$	3.86756	+	19.4435i	0.140942	+	0.708561i
$754$	−0.818110	−	24.3892i	−0.0297938	−	0.888201i
$755$	24.7569	−	36.3197i	0.900997	−	1.32181i
$756$	2.31241	−	2.64539i	0.0841016	−	0.0962121i
$757$	14.9519	−	36.0970i	0.543436	−	1.31197i	−0.378849	−	0.925458i	$-0.623680\pi$
$757$	14.9519	−	36.0970i	0.543436	−	1.31197i	0.922285	−	0.386511i	$-0.126320\pi$
$758$	4.59621	−	0.154175i	0.166942	−	0.00559990i
$759$	−7.55287	−	1.50236i	−0.274152	−	0.0545322i
$760$	−36.1265	−	11.2288i	−1.31044	−	0.407311i
$761$	−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	$0.271753\pi$
$762$	11.3076	+	4.24547i	0.409631	+	0.153797i
$763$	1.70582	−	0.706572i	0.0617547	−	0.0255796i
$764$	−8.60701	+	4.26178i	−0.311391	+	0.154186i
$765$	2.20503	+	0.220999i	0.0797232	+	0.00799024i
$766$	37.5635	−	8.79052i	1.35722	−	0.317615i
$767$	21.5821	+	52.1038i	0.779285	+	1.88136i
$768$	−9.08183	+	27.3323i	−0.327712	+	0.986269i
$769$	8.99709	−	8.99709i	0.324443	−	0.324443i	−0.526026	−	0.850469i	$-0.676318\pi$
$769$	8.99709	−	8.99709i	0.324443	−	0.324443i	0.850469	+	0.526026i	$0.176318\pi$
$770$	1.14216	−	0.0277414i	0.0411607	−	0.000999731i
$771$	9.36542	−	47.0831i	0.337287	−	1.69566i
$772$	1.96600	+	7.29016i	0.0707579	+	0.262379i
$773$	15.8385	−	38.2375i	0.569671	−	1.37531i	−0.332161	−	0.943223i	$-0.607778\pi$
$773$	15.8385	−	38.2375i	0.569671	−	1.37531i	0.901833	−	0.432086i	$-0.142222\pi$
$774$	1.79046	−	1.28521i	0.0643567	−	0.0461959i
$775$	6.70849	−	30.7429i	0.240976	−	1.10432i
$776$	−24.2653	−	45.1342i	−0.871073	−	1.62022i
$777$	−0.862624	−	4.33670i	−0.0309464	−	0.155578i
$778$	−20.9830	+	4.91040i	−0.752278	+	0.176047i
$779$	9.64044	+	48.4658i	0.345405	+	1.73647i
$780$	36.6665	−	17.7352i	1.31287	−	0.635022i
$781$	−8.55289			−0.306047
$782$	−14.7023	+	19.4948i	−0.525753	+	0.697133i
$783$	11.9799	−	11.9799i	0.428126	−	0.428126i
$784$	−13.8266	−	23.7710i	−0.493808	−	0.848964i
$785$	9.90112	+	2.06482i	0.353386	+	0.0736965i
$786$	21.2783	+	13.2079i	0.758972	+	0.471111i
$787$	−5.86784	−	29.4996i	−0.209166	−	1.05155i	−0.932533	−	0.361085i	$-0.882406\pi$
$787$	−5.86784	−	29.4996i	−0.209166	−	1.05155i	0.723367	−	0.690464i	$-0.242594\pi$
$788$	−31.1196	−	17.9000i	−1.10859	−	0.637662i
$789$	15.8121	+	23.6645i	0.562927	+	0.842480i
$790$	−1.65053	−	7.35910i	−0.0587233	−	0.261825i
$791$	−5.74690	+	2.38044i	−0.204336	+	0.0846388i
$792$	0.328890	+	0.611744i	0.0116866	+	0.0217374i
$793$	−7.21882	−	10.8037i	−0.256348	−	0.383652i
$794$	7.25176	+	2.72270i	0.257355	+	0.0966249i
$795$	−2.96051	+	6.96444i	−0.104999	+	0.247003i
$796$	1.90955	+	2.48028i	0.0676823	+	0.0879113i
$797$	−2.74308	−	6.62238i	−0.0971649	−	0.234577i	0.867822	−	0.496876i	$-0.165519\pi$
$797$	−2.74308	−	6.62238i	−0.0971649	−	0.234577i	−0.964987	+	0.262299i	$0.915519\pi$
$798$	−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
$802$	−35.0350	−	13.1540i	−1.23713	−	0.464484i
$803$			4.25294i			0.150083i
$804$	21.7924	+	2.83327i	0.768557	+	0.0999216i
$805$	−0.615968	−	3.25365i	−0.0217100	−	0.114676i
$806$	−30.7553	+	32.8903i	−1.08331	+	1.15851i
$807$	−2.30255	+	5.55885i	−0.0810536	+	0.195681i
$808$	2.81675	−	0.861901i	0.0990931	−	0.0303216i
$809$	4.06234	+	6.07972i	0.142824	+	0.213752i	0.895984	−	0.444086i	$-0.146471\pi$
$809$	4.06234	+	6.07972i	0.142824	+	0.213752i	−0.753160	+	0.657837i	$0.771471\pi$
$810$	28.5076	+	11.0051i	1.00166	+	0.386681i
$811$	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	$0.144310\pi$
$812$	1.07040	+	2.16176i	0.0375637	+	0.0758629i
$813$	−15.3036	+	22.9034i	−0.536720	+	0.803259i
$814$	−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
$818$	36.9398	−	26.5158i	1.29157	−	0.927104i
$819$	0.421823	−	0.0839058i	0.0147397	−	0.00293191i
$820$	36.8832	−	2.13479i	1.28802	−	0.0745500i
$821$	−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	$0.918624\pi$
$822$	−37.7136	+	40.3315i	−1.31541	+	1.40672i
$823$	−14.3734	−	2.85905i	−0.501026	−	0.0996602i	−0.0618938	−	0.998083i	$-0.519714\pi$
$823$	−14.3734	−	2.85905i	−0.501026	−	0.0996602i	−0.439132	+	0.898422i	$0.644714\pi$
$824$	−17.7491	+	33.4004i	−0.618321	+	1.16356i
$825$	3.36104	+	8.55865i	0.117017	+	0.297974i
$826$	−4.07198	−	3.80767i	−0.141682	−	0.132486i
$827$	27.9933	+	41.8950i	0.973423	+	1.45683i	0.887652	+	0.460516i	$0.152335\pi$
$827$	27.9933	+	41.8950i	0.973423	+	1.45683i	0.0857715	+	0.996315i	$0.472665\pi$
$828$	1.59512	−	1.22807i	0.0554342	−	0.0426784i
$829$	−14.6798	+	14.6798i	−0.509850	+	0.509850i	−0.914480	−	0.404630i	$-0.867400\pi$
$829$	−14.6798	+	14.6798i	−0.509850	+	0.509850i	0.404630	+	0.914480i	$0.367400\pi$
$830$	10.0554	+	9.57847i	0.349026	+	0.332474i
$831$	18.9066	−	45.6445i	0.655862	−	1.58339i
$832$	33.5453	−	22.6498i	1.16297	−	0.785241i
$833$	−17.8170	+	22.0466i	−0.617323	+	0.763870i
$834$	10.3850	+	44.3770i	0.359603	+	1.53665i
$835$	−21.6943	+	21.2967i	−0.750763	+	0.737004i
$836$	−9.68416	+	7.45576i	−0.334934	+	0.257863i
$837$	−31.2625			−1.08059
$838$	−33.8183	+	15.3558i	−1.16823	+	0.530456i
$839$	−0.393631	+	1.97892i	−0.0135897	+	0.0683198i	−0.986985	−	0.160812i	$-0.948589\pi$
$839$	−0.393631	+	1.97892i	−0.0135897	+	0.0683198i	0.973395	+	0.229132i	$0.0735887\pi$
$840$	−2.57542	+	3.09482i	−0.0888603	+	0.106781i
$841$	−6.64661	−	16.0463i	−0.229193	−	0.553322i
$842$	0.399309	−	2.43078i	0.0137611	−	0.0837701i
$843$	5.54440	+	1.10285i	0.190959	+	0.0379842i
$844$	−2.66773	−	9.89226i	−0.0918272	−	0.340506i
$845$	−27.5777	−	5.75116i	−0.948701	−	0.197846i
$846$	0.750671	−	1.20935i	0.0258086	−	0.0415783i
$847$	−1.95619	+	2.92765i	−0.0672156	+	0.100595i
$848$	−1.92295	+	7.27028i	−0.0660343	+	0.249662i
$849$	−11.7667			−0.403831
$850$	29.0715	+	2.20222i	0.997143	+	0.0755354i
$851$			29.0853i			0.997031i
$852$	19.8368	−	22.6932i	0.679597	−	0.777458i
$853$	−39.5349	−	26.4163i	−1.35365	−	0.904478i	−0.354120	−	0.935200i	$-0.615219\pi$
$853$	−39.5349	−	26.4163i	−1.35365	−	0.904478i	−0.999528	+	0.0307218i	$0.990219\pi$
$854$	1.09128	+	0.677384i	0.0373429	+	0.0231796i
$855$	0.656351	−	3.14730i	0.0224467	−	0.107635i
$856$	−7.64039	−	14.2113i	−0.261143	−	0.485734i
$857$	6.29279	−	31.6360i	0.214958	−	1.08066i	−0.711045	−	0.703147i	$-0.751778\pi$
$857$	6.29279	−	31.6360i	0.214958	−	1.08066i	0.926002	−	0.377518i	$-0.123222\pi$
$858$	2.13296	−	12.9843i	0.0728182	−	0.443277i
$859$	−15.7116	+	6.50797i	−0.536074	+	0.222049i	−0.634261	−	0.773119i	$-0.718696\pi$
$859$	−15.7116	+	6.50797i	−0.536074	+	0.222049i	0.0981874	+	0.995168i	$0.468696\pi$
$860$	23.1378	−	17.4752i	0.788991	−	0.595899i
$861$	5.15804	+	1.02600i	0.175785	+	0.0349659i
$862$	21.0983	+	46.4651i	0.718610	+	1.58261i
$863$			47.6025i			1.62041i	0.586149	+	0.810204i	$0.300643\pi$
$863$			47.6025i			1.62041i	−0.586149	+	0.810204i	$0.699357\pi$
$864$	27.3925	+	6.27069i	0.931913	+	0.213333i
$865$	25.7465	+	26.2272i	0.875408	+	0.891751i
$866$	1.35689	+	5.79824i	0.0461090	+	0.197032i
$867$	−12.1353	−	28.0927i	−0.412136	−	0.954079i
$868$	1.42400	−	4.21730i	0.0483336	−	0.143144i
$869$	−2.25102	−	0.932404i	−0.0763607	−	0.0316296i
$870$	−13.3904	+	14.0571i	−0.453978	+	0.476580i
$871$	−21.8378	−	21.8378i	−0.739945	−	0.739945i
$872$	11.4376	+	9.34036i	0.387325	+	0.316304i
$873$	3.62090	−	2.41941i	0.122549	−	0.0818845i
$874$	25.8741	+	24.1946i	0.875203	+	0.818393i
$875$	−2.87233	+	2.71722i	−0.0971024	+	0.0918587i
$876$	−11.2842	−	9.86386i	−0.381259	−	0.333269i
$877$	8.79244	−	44.2026i	0.296900	−	1.49262i	−0.487918	−	0.872889i	$-0.662244\pi$
$877$	8.79244	−	44.2026i	0.296900	−	1.49262i	0.784818	−	0.619726i	$-0.212756\pi$
$878$	−6.87737	−	6.43096i	−0.232100	−	0.217034i
$879$	−7.83321	+	11.7232i	−0.264208	+	0.395415i
$880$	4.52101	+	7.94067i	0.152403	+	0.267680i
$881$	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	$0.913284\pi$
$882$	1.89853	−	1.36278i	0.0639268	−	0.0458873i
$883$	25.1294	−	25.1294i	0.845673	−	0.845673i	−0.143917	−	0.989590i	$-0.545970\pi$
$883$	25.1294	−	25.1294i	0.845673	−	0.845673i	0.989590	+	0.143917i	$0.0459699\pi$
$884$	−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
$887$	31.5943	+	21.1106i	1.06083	+	0.708826i	0.958260	−	0.285900i	$-0.0922924\pi$
$887$	31.5943	+	21.1106i	1.06083	+	0.708826i	0.102573	+	0.994725i	$0.467292\pi$
$888$	27.2821	−	22.5005i	0.915528	−	0.755069i
$889$	1.39513	+	0.932195i	0.0467911	+	0.0312648i
$890$	−7.37064	−	2.84537i	−0.247064	−	0.0953770i
$891$	8.20834	−	5.48464i	0.274990	−	0.183742i
$892$	−1.83797	−	27.3656i	−0.0615398	−	0.916267i
$893$	23.1403	+	9.58503i	0.774361	+	0.320751i
$894$	−14.4968	−	13.5558i	−0.484846	−	0.453374i
$895$	34.8096	−	6.59001i	1.16356	−	0.220280i
$896$	−2.09363	+	3.40961i	−0.0699434	+	0.113907i
$897$	−38.1384			−1.27340
$898$	30.4448	+	11.4306i	1.01596	+	0.381444i
$899$	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
$903$	3.81330	−	1.57952i	0.126899	−	0.0525632i
$904$	−38.5332	−	31.4677i	−1.28160	−	1.04660i
$905$	−45.6482	−	19.4046i	−1.51740	−	0.645030i
$906$	46.8487	+	17.5895i	1.55645	+	0.584372i
$907$	17.8995	−	11.9601i	0.594344	−	0.397128i	−0.221703	−	0.975114i	$-0.571161\pi$
$907$	17.8995	−	11.9601i	0.594344	−	0.397128i	0.816046	+	0.577987i	$0.196161\pi$
$908$	12.5694	+	46.6089i	0.417131	+	1.54677i
$909$	0.0957977	+	0.231276i	0.00317741	+	0.00767094i
$910$	5.52107	−	1.23829i	0.183022	−	0.0410489i
$911$	−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	$0.445209\pi$
$912$	2.67828	−	42.9870i	0.0886866	−	1.42344i
$913$	4.40022	−	0.875258i	0.145626	−	0.0289668i
$914$	42.1086	+	26.1378i	1.39283	+	0.864560i
$915$	−2.11036	+	10.1195i	−0.0697662	+	0.334540i
$916$	−15.7119	+	1.05527i	−0.519137	+	0.0348670i
$917$	2.46011	+	2.46011i	0.0812401	+	0.0812401i
$918$	−4.02013	−	28.6856i	−0.132684	−	0.946767i
$919$			15.3418i			0.506078i	0.967456	+	0.253039i	$0.0814301\pi$
$919$			15.3418i			0.506078i	−0.967456	+	0.253039i	$0.918570\pi$
$920$	20.5869	−	16.6613i	0.678729	−	0.549306i
$921$	−5.81192	+	1.15606i	−0.191509	+	0.0380936i
$922$	1.37082	−	0.320797i	0.0451456	−	0.0105649i
$923$	−41.5443	+	8.26368i	−1.36745	+	0.272002i
$924$	0.338676	+	1.25585i	0.0111416	+	0.0413145i
$925$	29.2275	−	18.7567i	0.960995	−	0.616718i
$926$	9.31732	+	12.9802i	0.306186	+	0.426555i
$927$	−2.96968	−	1.23008i	−0.0975369	−	0.0404011i
$928$	−11.1743	+	15.7272i	−0.366813	+	0.516272i
$929$	8.78351	+	1.74715i	0.288178	+	0.0573221i	0.337062	−	0.941482i	$-0.390567\pi$
$929$	8.78351	+	1.74715i	0.288178	+	0.0573221i	−0.0488847	+	0.998804i	$0.515567\pi$
$930$	35.8133	−	0.869852i	1.17437	−	0.0285236i
$931$	29.0787	+	29.0787i	0.953015	+	0.953015i
$932$	−4.21081	+	32.3879i	−0.137930	+	1.06090i
$933$	41.7904	−	17.3102i	1.36816	−	0.566709i
$934$	5.47591	+	23.3996i	0.179177	+	0.765657i
$935$	5.98766	−	7.27050i	0.195817	−	0.237771i
$936$	2.18859	+	2.65368i	0.0715362	+	0.0867383i
$937$	−6.25091	−	15.0910i	−0.204208	−	0.493003i	0.788284	−	0.615312i	$-0.210970\pi$
$937$	−6.25091	−	15.0910i	−0.204208	−	0.493003i	−0.992492	+	0.122309i	$0.960970\pi$
$938$	2.85805	+	1.07306i	0.0933185	+	0.0350367i
$939$	12.0973	+	12.0973i	0.394781	+	0.394781i
$940$	9.48659	−	16.1453i	0.309419	−	0.526603i
$941$	−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	$0.934160\pi$
$942$	0.386034	+	11.5083i	0.0125777	+	0.374961i
$943$	−31.9605	−	13.2385i	−1.04078	−	0.431104i
$944$	11.4009	−	43.1047i	0.371069	−	1.40294i
$945$	3.24596	+	2.21257i	0.105591	+	0.0719749i
$946$	−0.314039	−	9.36200i	−0.0102103	−	0.304385i
$947$	−6.16723	+	1.22674i	−0.200408	+	0.0398637i	−0.294274	−	0.955721i	$-0.595078\pi$
$947$	−6.16723	+	1.22674i	−0.200408	+	0.0398637i	0.0938654	+	0.995585i	$0.470078\pi$
$948$	7.69474	−	3.81007i	0.249914	−	0.123745i
$949$	4.10912	+	20.6580i	0.133388	+	0.670586i
$950$	7.62701	−	41.6033i	0.247453	−	1.34979i
$951$			52.4292i			1.70013i
$952$	4.05279	+	0.764308i	0.131352	+	0.0247714i
$953$	−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	$0.299352\pi$
$954$	−0.630643	−	0.103597i	−0.0204178	−	0.00335408i
$955$	−5.88288	−	8.98309i	−0.190366	−	0.290686i
$956$	40.4762	+	13.6671i	1.30909	+	0.442024i
$957$	1.22359	+	6.15138i	0.0395529	+	0.198846i
$958$	−18.3234	+	19.5953i	−0.592002	+	0.633097i
$959$	−6.37797	+	4.26162i	−0.205955	+	0.137615i
$960$	−31.5545	−	6.42132i	−1.01842	−	0.207247i
$961$	−7.95010	+	3.29304i	−0.256455	+	0.106227i
$962$	−49.6698	+	1.66612i	−1.60142	+	0.0537180i
$963$	1.14011	−	0.761796i	0.0367395	−	0.0245485i
$964$	−4.56150	+	35.0852i	−0.146916	+	1.13002i
$965$	−7.82878	+	3.15829i	−0.252017	+	0.101669i
$966$	3.43272	−	1.55868i	0.110446	−	0.0501498i
$967$	−17.9634	+	7.44070i	−0.577665	+	0.239277i	−0.652334	−	0.757932i	$-0.726210\pi$
$967$	−17.9634	+	7.44070i	−0.577665	+	0.239277i	0.0746689	+	0.997208i	$0.476210\pi$
$968$	−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	$-0.865309\pi$
$971$	0.725965	−	1.75263i	0.0232973	−	0.0562447i	0.935100	+	0.354384i	$0.115309\pi$
$972$	−0.642601	+	4.94263i	−0.0206114	+	0.158535i
$973$			6.33136i			0.202974i
$974$	20.2221	+	7.59245i	0.647958	+	0.243278i
$975$	24.5950	+	38.3249i	0.787669	+	1.22738i
$976$	−0.638789	+	10.2527i	−0.0204471	+	0.328182i
$977$	0.345807	−	0.834852i	0.0110633	−	0.0267093i	−0.918251	−	0.395998i	$-0.870399\pi$
$977$	0.345807	−	0.834852i	0.0110633	−	0.0267093i	0.929315	+	0.369289i	$0.120399\pi$
$978$	3.91974	−	23.8613i	0.125340	−	0.762999i
$979$	−2.12226	+	1.41805i	−0.0678278	+	0.0453211i
$980$	24.5343	−	18.5300i	0.783721	−	0.591919i
$981$	−0.697202	+	1.04344i	−0.0222599	+	0.0333144i
$982$	−10.0737	−	43.0468i	−0.321465	−	1.37368i
$983$	10.4669	+	6.99373i	0.333841	+	0.223065i	0.711180	−	0.703010i	$-0.248161\pi$
$983$	10.4669	+	6.99373i	0.333841	+	0.223065i	−0.377339	+	0.926075i	$0.623161\pi$
$984$	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
$988$	−39.8356	+	45.5719i	−1.26734	+	1.44983i
$989$	−26.6286	+	5.29675i	−0.846739	+	0.168427i
$990$	−0.634996	+	0.446968i	−0.0201815	+	0.0142056i
$991$	−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	$0.841952\pi$
$992$	35.1009	−	5.94068i	1.11445	−	0.188617i
$993$	−3.49551	−	0.695301i	−0.110927	−	0.0220647i
$994$	3.40155	−	2.44167i	0.107891	−	0.0774450i
$995$	−2.49743	+	2.45166i	−0.0791737	+	0.0777227i
$996$	−7.88315	+	13.7050i	−0.249787	+	0.434260i
$997$	4.27563	+	6.39893i	0.135410	+	0.202656i	0.892977	−	0.450101i	$-0.148612\pi$
$997$	4.27563	+	6.39893i	0.135410	+	0.202656i	−0.757567	+	0.652757i	$0.773612\pi$
$998$	4.11112	+	9.05400i	0.130135	+	0.286600i
$999$	−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.ct.a.397.34	yes	832
5.3	odd	4		680.2.cf.a.533.21	yes	832
8.5	even	2	inner	680.2.ct.a.397.49	yes	832
17.3	odd	16		680.2.cf.a.37.5	✓	832
40.13	odd	4		680.2.cf.a.533.5	yes	832
85.3	even	16	inner	680.2.ct.a.173.49	yes	832
136.37	odd	16		680.2.cf.a.37.21	yes	832
680.173	even	16	inner	680.2.ct.a.173.34	yes	832

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
680.2.cf.a.37.5	✓	832	17.3	odd	16
680.2.cf.a.37.21	yes	832	136.37	odd	16
680.2.cf.a.533.5	yes	832	40.13	odd	4
680.2.cf.a.533.21	yes	832	5.3	odd	4
680.2.ct.a.173.34	yes	832	680.173	even	16	inner
680.2.ct.a.173.49	yes	832	85.3	even	16	inner
680.2.ct.a.397.34	yes	832	1.1	even	1	trivial
680.2.ct.a.397.49	yes	832	8.5	even	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.824675 - 1.14887i) q^{2} +(1.49673 + 1.00008i) q^{3} +(-0.639823 + 1.89489i) q^{4} +(-2.18897 - 0.456497i) q^{5} +(-0.0853459 - 2.54430i) q^{6} +(0.0689937 - 0.346855i) q^{7} +(2.70464 - 0.827595i) q^{8} +(0.0919848 + 0.222071i) q^{9} +(1.28073 + 2.89132i) q^{10} +(1.00197 + 0.199305i) q^{11} +(-2.85270 + 2.19627i) q^{12} +5.05949 q^{13} +(-0.455390 + 0.206777i) q^{14} +(-2.81977 - 2.87241i) q^{15} +(-3.18125 - 2.42480i) q^{16} +(-1.16713 + 3.95447i) q^{17} +(0.179274 - 0.288815i) q^{18} +(5.52633 + 2.28908i) q^{19} +(2.26557 - 3.85580i) q^{20} +(0.450148 - 0.450148i) q^{21} +(-0.597326 - 1.31550i) q^{22} +(-3.48181 + 2.32647i) q^{23} +(4.87578 + 1.46618i) q^{24} +(4.58322 + 1.99852i) q^{25} +(-4.17243 - 5.81272i) q^{26} +(0.969135 - 4.87217i) q^{27} +(0.613109 + 0.352661i) q^{28} +(2.83574 + 1.89478i) q^{29} +(-0.974645 + 5.60836i) q^{30} +(-1.22775 - 6.17234i) q^{31} +(-0.162287 + 5.65453i) 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} +(3.85882 - 5.77512i) q^{37} +(-1.92756 - 8.23680i) q^{38} +(7.57269 + 5.05991i) q^{39} +(-6.29819 + 0.576923i) q^{40} +(4.58964 + 6.86888i) q^{41} +(-0.888390 - 0.145938i) q^{42} +(5.99005 + 2.48116i) q^{43} +(-1.01875 + 1.77111i) q^{44} +(-0.0999775 - 0.528098i) q^{45} +(5.54418 + 2.08158i) q^{46} +4.18729 q^{47} +(-2.33648 - 6.81078i) 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} +(-0.719472 - 1.73696i) q^{53} +(-6.39673 + 2.90454i) q^{54} +(-2.10231 - 0.893672i) q^{55} +(-0.100452 - 0.995216i) q^{56} +(5.98215 + 8.95292i) q^{57} +(-0.161698 - 4.82048i) q^{58} +(4.26567 + 10.2982i) q^{59} +(7.24707 - 3.50533i) q^{60} +(-1.42679 - 2.13534i) q^{61} +(-6.07874 + 6.50071i) q^{62} +(0.0833726 - 0.0165839i) q^{63} +(6.63017 - 4.47670i) q^{64} +(-11.0751 - 2.30964i) q^{65} +(0.421577 - 2.56633i) q^{66} +(-4.31620 - 4.31620i) q^{67} +(-6.74655 - 4.74174i) q^{68} -7.53799 q^{69} +(1.09123 - 0.244746i) q^{70} +(-8.21116 + 1.63330i) q^{71} +(0.432571 + 0.524496i) q^{72} +(0.812162 + 4.08301i) q^{73} +(-9.81716 + 0.329307i) q^{74} +(4.86116 + 7.57485i) q^{75} +(-7.87344 + 9.00720i) q^{76} +(0.138260 - 0.333788i) q^{77} +(-0.431807 - 12.8729i) q^{78} +(-2.33914 - 0.465284i) q^{79} +(5.85677 + 6.76005i) q^{80} +(6.83300 - 6.83300i) q^{81} +(4.10652 - 10.9375i) q^{82} +(4.05726 - 1.68057i) q^{83} +(0.564968 + 1.14100i) q^{84} +(4.36001 - 8.12344i) q^{85} +(-2.08930 - 8.92797i) q^{86} +(2.34940 + 5.67194i) q^{87} +(2.87492 - 0.290180i) q^{88} +(-1.76667 + 1.76667i) q^{89} +(-0.524269 + 0.550371i) q^{90} +(0.349073 - 1.75491i) q^{91} +(-2.18067 - 8.08619i) q^{92} +(4.33523 - 10.4662i) q^{93} +(-3.45315 - 4.81066i) q^{94} +(-11.0520 - 7.53349i) q^{95} +(-5.89790 + 8.30100i) q^{96} +(-3.53451 - 17.7692i) q^{97} +(-2.21541 - 9.46685i) q^{98} +(0.0479065 + 0.240842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 832 q - 8 q^{2} - 16 q^{6} - 16 q^{7} - 8 q^{8} - 8 q^{10} + 16 q^{12} + 32 q^{14} - 16 q^{15} - 16 q^{17} - 16 q^{18} - 8 q^{20} - 8 q^{22} - 16 q^{23} - 16 q^{25} - 48 q^{26} + 24 q^{28} + 56 q^{30} - 32 q^{31}+ \cdots - 16 q^{97}+O(q^{100}) \) 832 * q - 8 * q^2 - 16 * q^6 - 16 * q^7 - 8 * q^8 - 8 * q^10 + 16 * 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 + 24 * q^28 + 56 * q^30 - 32 * q^31 - 8 * q^32 + 48 * q^36 - 16 * q^38 - 96 * q^39 - 64 * q^40 - 32 * q^41 - 24 * q^42 - 32 * q^46 - 32 * q^47 - 136 * 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 + 32 * q^63 - 96 * q^65 - 16 * q^66 - 64 * q^68 + 56 * q^70 - 32 * q^71 - 96 * q^73 - 16 * q^76 - 160 * q^78 + 40 * q^80 - 32 * q^81 - 8 * q^82 + 96 * q^84 - 32 * q^86 - 16 * q^87 - 96 * q^88 + 88 * q^90 - 120 * q^92 - 48 * q^94 - 16 * q^95 - 16 * q^96 - 16 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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