LMFDB - Embedded newform 91.2.w.a.80.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(19,91)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 5]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("91.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.w (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			80.6
Character	$\chi$	$=$	91.80
Dual form			91.2.w.a.33.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.470172 + 1.75471i) q^{2} -3.06997i q^{3} +(-1.12588 + 0.650030i) q^{4} +(0.288156 - 1.07541i) q^{5} +(5.38690 - 1.44342i) q^{6} +(0.381837 + 2.61805i) q^{7} +(0.899098 + 0.899098i) q^{8} -6.42473 q^{9} +O(q^{10})$	\(q+(0.470172 + 1.75471i) q^{2} -3.06997i q^{3} +(-1.12588 + 0.650030i) q^{4} +(0.288156 - 1.07541i) q^{5} +(5.38690 - 1.44342i) q^{6} +(0.381837 + 2.61805i) q^{7} +(0.899098 + 0.899098i) q^{8} -6.42473 q^{9} +2.02252 q^{10} +(-0.0909069 - 0.0909069i) q^{11} +(1.99557 + 3.45643i) q^{12} +(-3.59376 - 0.291296i) q^{13} +(-4.41439 + 1.90095i) q^{14} +(-3.30149 - 0.884632i) q^{15} +(-2.45498 + 4.25215i) q^{16} +(-0.136785 - 0.236918i) q^{17} +(-3.02073 - 11.2735i) q^{18} +(2.80666 + 2.80666i) q^{19} +(0.374620 + 1.39810i) q^{20} +(8.03735 - 1.17223i) q^{21} +(0.116773 - 0.202257i) q^{22} +(-0.426046 - 0.245978i) q^{23} +(2.76021 - 2.76021i) q^{24} +(3.25665 + 1.88023i) q^{25} +(-1.17855 - 6.44296i) q^{26} +10.5138i q^{27} +(-2.13172 - 2.69942i) q^{28} +(-4.62230 - 8.00606i) q^{29} -6.20908i q^{30} +(-6.92046 + 1.85433i) q^{31} +(-6.15917 - 1.65034i) q^{32} +(-0.279082 + 0.279082i) q^{33} +(0.351410 - 0.351410i) q^{34} +(2.92552 + 0.343776i) q^{35} +(7.23351 - 4.17627i) q^{36} +(3.85295 - 1.03240i) q^{37} +(-3.60526 + 6.24449i) q^{38} +(-0.894272 + 11.0328i) q^{39} +(1.22598 - 0.707822i) q^{40} +(2.31500 - 8.63969i) q^{41} +(5.83586 + 13.5520i) q^{42} +(8.44566 + 4.87610i) q^{43} +(0.161443 + 0.0432585i) q^{44} +(-1.85133 + 6.90925i) q^{45} +(0.231304 - 0.863237i) q^{46} +(-5.66021 - 1.51665i) q^{47} +(13.0540 + 7.53673i) q^{48} +(-6.70840 + 1.99934i) q^{49} +(-1.76806 + 6.59849i) q^{50} +(-0.727333 + 0.419926i) q^{51} +(4.23552 - 2.00809i) q^{52} +(0.467445 - 0.809639i) q^{53} +(-18.4487 + 4.94331i) q^{54} +(-0.123958 + 0.0715671i) q^{55} +(-2.01058 + 2.69719i) q^{56} +(8.61638 - 8.61638i) q^{57} +(11.8750 - 11.8750i) q^{58} +(6.64843 + 1.78144i) q^{59} +(4.29214 - 1.15007i) q^{60} -7.78764i q^{61} +(-6.50761 - 11.2715i) q^{62} +(-2.45320 - 16.8203i) q^{63} -1.76356i q^{64} +(-1.34883 + 3.78085i) q^{65} +(-0.620923 - 0.358490i) q^{66} +(-0.865162 + 0.865162i) q^{67} +(0.308008 + 0.177829i) q^{68} +(-0.755145 + 1.30795i) q^{69} +(0.772272 + 5.29506i) q^{70} +(-0.793943 - 2.96304i) q^{71} +(-5.77646 - 5.77646i) q^{72} +(0.0318328 + 0.118802i) q^{73} +(3.62311 + 6.27540i) q^{74} +(5.77224 - 9.99781i) q^{75} +(-4.98439 - 1.33556i) q^{76} +(0.203287 - 0.272711i) q^{77} +(-19.7797 + 3.61811i) q^{78} +(-5.72736 - 9.92007i) q^{79} +(3.86541 + 3.86541i) q^{80} +13.0030 q^{81} +16.2486 q^{82} +(8.07011 + 8.07011i) q^{83} +(-8.28715 + 6.54431i) q^{84} +(-0.294201 + 0.0788309i) q^{85} +(-4.58522 + 17.1123i) q^{86} +(-24.5784 + 14.1903i) q^{87} -0.163468i q^{88} +(-1.09599 - 4.09029i) q^{89} -12.9941 q^{90} +(-0.609601 - 9.51989i) q^{91} +0.639571 q^{92} +(5.69274 + 21.2456i) q^{93} -10.6451i q^{94} +(3.82708 - 2.20957i) q^{95} +(-5.06651 + 18.9085i) q^{96} +(-2.39359 + 0.641359i) q^{97} +(-6.66236 - 10.8312i) q^{98} +(0.584052 + 0.584052i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.470172	+	1.75471i	0.332462	+	1.24077i	0.906594	+	0.422003i	$0.138673\pi$
$2$	0.470172	+	1.75471i	0.332462	+	1.24077i	−0.574132	+	0.818762i	$0.694661\pi$
$3$		−	3.06997i		−	1.77245i	−0.463255	−	0.886225i	$-0.653319\pi$
$3$		−	3.06997i		−	1.77245i	0.463255	−	0.886225i	$-0.346681\pi$
$4$	−1.12588	+	0.650030i	−0.562942	+	0.325015i
$5$	0.288156	−	1.07541i	0.128867	−	0.480940i	−0.871081	−	0.491140i	$-0.836580\pi$
$5$	0.288156	−	1.07541i	0.128867	−	0.480940i	0.999948	+	0.0102004i	$0.00324696\pi$
$6$	5.38690	−	1.44342i	2.19919	−	0.589272i
$7$	0.381837	+	2.61805i	0.144321	+	0.989531i
$7$	0.381837	+	2.61805i	0.144321	+	0.989531i
$8$	0.899098	+	0.899098i	0.317879	+	0.317879i
$9$	−6.42473			−2.14158
$10$	2.02252			0.639577
$11$	−0.0909069	−	0.0909069i	−0.0274095	−	0.0274095i	0.693269	−	0.720679i	$-0.256170\pi$
$11$	−0.0909069	−	0.0909069i	−0.0274095	−	0.0274095i	−0.720679	+	0.693269i	$0.756170\pi$
$12$	1.99557	+	3.45643i	0.576072	+	0.997787i
$13$	−3.59376	−	0.291296i	−0.996731	−	0.0807911i
$13$	−3.59376	−	0.291296i	−0.996731	−	0.0807911i
$14$	−4.41439	+	1.90095i	−1.17979	+	0.508050i
$15$	−3.30149	−	0.884632i	−0.852441	−	0.228411i
$16$	−2.45498	+	4.25215i	−0.613746	+	1.06304i
$17$	−0.136785	−	0.236918i	−0.0331752	−	0.0574612i	0.848961	−	0.528455i	$-0.177229\pi$
$17$	−0.136785	−	0.236918i	−0.0331752	−	0.0574612i	−0.882136	+	0.470994i	$0.843895\pi$
$18$	−3.02073	−	11.2735i	−0.711993	−	2.65720i
$19$	2.80666	+	2.80666i	0.643893	+	0.643893i	0.951510	−	0.307617i	$-0.0995317\pi$
$19$	2.80666	+	2.80666i	0.643893	+	0.643893i	−0.307617	+	0.951510i	$0.599532\pi$
$20$	0.374620	+	1.39810i	0.0837676	+	0.312625i
$21$	8.03735	−	1.17223i	1.75389	−	0.255801i
$22$	0.116773	−	0.202257i	0.0248961	−	0.0431213i
$23$	−0.426046	−	0.245978i	−0.0888367	−	0.0512899i	0.454924	−	0.890530i	$-0.349667\pi$
$23$	−0.426046	−	0.245978i	−0.0888367	−	0.0512899i	−0.543760	+	0.839241i	$0.683000\pi$
$24$	2.76021	−	2.76021i	0.563425	−	0.563425i
$25$	3.25665	+	1.88023i	0.651329	+	0.376045i
$26$	−1.17855	−	6.44296i	−0.231133	−	1.26357i
$27$			10.5138i			2.02339i
$28$	−2.13172	−	2.69942i	−0.402856	−	0.510142i
$29$	−4.62230	−	8.00606i	−0.858340	−	1.48669i	−0.873512	−	0.486803i	$-0.838163\pi$
$29$	−4.62230	−	8.00606i	−0.858340	−	1.48669i	0.0151718	−	0.999885i	$-0.495170\pi$
$30$		−	6.20908i		−	1.13362i
$31$	−6.92046	+	1.85433i	−1.24295	+	0.333048i	−0.819609	−	0.572923i	$-0.805810\pi$
$31$	−6.92046	+	1.85433i	−1.24295	+	0.333048i	−0.423341	+	0.905970i	$0.639143\pi$
$32$	−6.15917	−	1.65034i	−1.08880	−	0.291742i
$33$	−0.279082	+	0.279082i	−0.0485819	+	0.0485819i
$34$	0.351410	−	0.351410i	0.0602663	−	0.0602663i
$35$	2.92552	+	0.343776i	0.494503	+	0.0581088i
$36$	7.23351	−	4.17627i	1.20558	−	0.696045i
$37$	3.85295	−	1.03240i	0.633422	−	0.169725i	0.0721998	−	0.997390i	$-0.476998\pi$
$37$	3.85295	−	1.03240i	0.633422	−	0.169725i	0.561222	+	0.827665i	$0.310331\pi$
$38$	−3.60526	+	6.24449i	−0.584850	+	1.01299i
$39$	−0.894272	+	11.0328i	−0.143198	+	1.76666i
$40$	1.22598	−	0.707822i	0.193845	−	0.111916i
$41$	2.31500	−	8.63969i	0.361542	−	1.34929i	−0.510507	−	0.859874i	$-0.670542\pi$
$41$	2.31500	−	8.63969i	0.361542	−	1.34929i	0.872049	−	0.489419i	$-0.162791\pi$
$42$	5.83586	+	13.5520i	0.900492	+	2.09113i
$43$	8.44566	+	4.87610i	1.28795	+	0.743599i	0.978288	−	0.207248i	$-0.0664506\pi$
$43$	8.44566	+	4.87610i	1.28795	+	0.743599i	0.309662	+	0.950847i	$0.399784\pi$
$44$	0.161443	+	0.0432585i	0.0243384	+	0.00652146i
$45$	−1.85133	+	6.90925i	−0.275980	+	1.02997i
$46$	0.231304	−	0.863237i	0.0341039	−	0.127277i
$47$	−5.66021	−	1.51665i	−0.825627	−	0.221226i	−0.178822	−	0.983881i	$-0.557229\pi$
$47$	−5.66021	−	1.51665i	−0.825627	−	0.221226i	−0.646805	+	0.762655i	$0.723895\pi$
$48$	13.0540	+	7.53673i	1.88418	+	1.08783i
$49$	−6.70840	+	1.99934i	−0.958343	+	0.285619i
$50$	−1.76806	+	6.59849i	−0.250041	+	0.933167i
$51$	−0.727333	+	0.419926i	−0.101847	+	0.0588014i
$52$	4.23552	−	2.00809i	0.587360	−	0.278472i
$53$	0.467445	−	0.809639i	0.0642086	−	0.111212i	−0.832134	−	0.554574i	$-0.812881\pi$
$53$	0.467445	−	0.809639i	0.0642086	−	0.111212i	0.896343	+	0.443362i	$0.146214\pi$
$54$	−18.4487	+	4.94331i	−2.51055	+	0.672700i
$55$	−0.123958	+	0.0715671i	−0.0167145	+	0.00965011i
$56$	−2.01058	+	2.69719i	−0.268675	+	0.360428i
$57$	8.61638	−	8.61638i	1.14127	−	1.14127i
$58$	11.8750	−	11.8750i	1.55927	−	1.55927i
$59$	6.64843	+	1.78144i	0.865552	+	0.231924i	0.664163	−	0.747587i	$-0.268788\pi$
$59$	6.64843	+	1.78144i	0.865552	+	0.231924i	0.201389	+	0.979511i	$0.435455\pi$
$60$	4.29214	−	1.15007i	0.554112	−	0.148474i
$61$		−	7.78764i		−	0.997105i	−0.866860	−	0.498552i	$-0.833865\pi$
$61$		−	7.78764i		−	0.997105i	0.866860	−	0.498552i	$-0.166135\pi$
$62$	−6.50761	−	11.2715i	−0.826468	−	1.43148i
$63$	−2.45320	−	16.8203i	−0.309074	−	2.11916i
$64$		−	1.76356i		−	0.220444i
$65$	−1.34883	+	3.78085i	−0.167302	+	0.468956i
$66$	−0.620923	−	0.358490i	−0.0764303	−	0.0441271i
$67$	−0.865162	+	0.865162i	−0.105696	+	0.105696i	−0.757977	−	0.652281i	$-0.773812\pi$
$67$	−0.865162	+	0.865162i	−0.105696	+	0.105696i	0.652281	+	0.757977i	$0.273812\pi$
$68$	0.308008	+	0.177829i	0.0373515	+	0.0215649i
$69$	−0.755145	+	1.30795i	−0.0909087	+	0.157459i
$70$	0.772272	+	5.29506i	0.0923041	+	0.632881i
$71$	−0.793943	−	2.96304i	−0.0942237	−	0.351648i	0.902677	−	0.430319i	$-0.141599\pi$
$71$	−0.793943	−	2.96304i	−0.0942237	−	0.351648i	−0.996901	+	0.0786713i	$0.974932\pi$
$72$	−5.77646	−	5.77646i	−0.680763	−	0.680763i
$73$	0.0318328	+	0.118802i	0.00372575	+	0.0139047i	0.967764	−	0.251860i	$-0.0810422\pi$
$73$	0.0318328	+	0.118802i	0.00372575	+	0.0139047i	−0.964038	+	0.265765i	$0.914376\pi$
$74$	3.62311	+	6.27540i	0.421177	+	0.729501i
$75$	5.77224	−	9.99781i	0.666521	−	1.15445i
$76$	−4.98439	−	1.33556i	−0.571749	−	0.153200i
$77$	0.203287	−	0.272711i	0.0231668	−	0.0310782i
$78$	−19.7797	+	3.61811i	−2.23961	+	0.409671i
$79$	−5.72736	−	9.92007i	−0.644378	−	1.11610i	−0.984445	−	0.175694i	$-0.943783\pi$
$79$	−5.72736	−	9.92007i	−0.644378	−	1.11610i	0.340067	−	0.940401i	$-0.389550\pi$
$80$	3.86541	+	3.86541i	0.432166	+	0.432166i
$81$	13.0030			1.44478
$82$	16.2486			1.79436
$83$	8.07011	+	8.07011i	0.885810	+	0.885810i	0.994117	−	0.108308i	$-0.0345432\pi$
$83$	8.07011	+	8.07011i	0.885810	+	0.885810i	−0.108308	+	0.994117i	$0.534543\pi$
$84$	−8.28715	+	6.54431i	−0.904202	+	0.714043i
$85$	−0.294201	+	0.0788309i	−0.0319106	+	0.00855041i
$86$	−4.58522	+	17.1123i	−0.494437	+	1.84526i
$87$	−24.5784	+	14.1903i	−2.63508	+	1.52136i
$88$		−	0.163468i		−	0.0174258i
$89$	−1.09599	−	4.09029i	−0.116175	−	0.433570i	0.883197	−	0.469002i	$-0.155386\pi$
$89$	−1.09599	−	4.09029i	−0.116175	−	0.433570i	−0.999372	+	0.0354314i	$0.988719\pi$
$90$	−12.9941			−1.36970
$91$	−0.609601	−	9.51989i	−0.0639036	−	0.997956i
$92$	0.639571			0.0666799
$93$	5.69274	+	21.2456i	0.590310	+	2.20307i
$94$		−	10.6451i		−	1.09796i
$95$	3.82708	−	2.20957i	0.392650	−	0.226697i
$96$	−5.06651	+	18.9085i	−0.517099	+	1.92984i
$97$	−2.39359	+	0.641359i	−0.243032	+	0.0651202i	−0.378279	−	0.925692i	$-0.623484\pi$
$97$	−2.39359	+	0.641359i	−0.243032	+	0.0651202i	0.135247	+	0.990812i	$0.456817\pi$
$98$	−6.66236	−	10.8312i	−0.672999	−	1.09412i
$99$	0.584052	+	0.584052i	0.0586995	+	0.0586995i
$100$	−4.88881			−0.488881
$101$	1.68844			0.168006			0.0840029	−	0.996466i	$-0.473229\pi$
$101$	1.68844			0.168006			0.0840029	+	0.996466i	$0.473229\pi$
$102$	−1.07882	−	1.07882i	−0.106819	−	0.106819i
$103$	4.38460	+	7.59435i	0.432027	+	0.748293i	0.997048	−	0.0767837i	$-0.0244651\pi$
$103$	4.38460	+	7.59435i	0.432027	+	0.748293i	−0.565021	+	0.825077i	$0.691132\pi$
$104$	−2.96924	−	3.49305i	−0.291158	−	0.342522i
$105$	1.05538	−	8.98126i	0.102995	−	0.876482i
$106$	1.64046	+	0.439560i	0.159336	+	0.0426938i
$107$	1.34893	−	2.33642i	0.130406	−	0.225870i	−0.793427	−	0.608665i	$-0.791705\pi$
$107$	1.34893	−	2.33642i	0.130406	−	0.225870i	0.923833	+	0.382795i	$0.125039\pi$
$108$	−6.83431	−	11.8374i	−0.657631	−	1.13905i
$109$	2.40526	+	8.97655i	0.230382	+	0.859798i	0.980176	+	0.198127i	$0.0634857\pi$
$109$	2.40526	+	8.97655i	0.230382	+	0.859798i	−0.749794	+	0.661671i	$0.769848\pi$
$110$	−0.183861	−	0.183861i	−0.0175305	−	0.0175305i
$111$	−3.16943	−	11.8285i	−0.300829	−	1.12271i
$112$	−12.0698	−	4.80365i	−1.14049	−	0.453902i
$113$	−1.73470	+	3.00459i	−0.163187	+	0.282648i	−0.936010	−	0.351973i	$-0.885511\pi$
$113$	−1.73470	+	3.00459i	−0.163187	+	0.282648i	0.772823	+	0.634622i	$0.218844\pi$
$114$	19.1704	+	11.0680i	1.79547	+	1.03662i
$115$	−0.387295	+	0.387295i	−0.0361155	+	0.0361155i
$116$	10.4084	+	6.00927i	0.966392	+	0.557946i
$117$	23.0890	+	1.87150i	2.13458	+	0.173020i
$118$			12.5036i			1.15105i
$119$	0.568035	−	0.448574i	0.0520717	−	0.0411207i
$120$	−2.17299	−	3.76373i	−0.198366	−	0.343580i
$121$		−	10.9835i		−	0.998497i
$122$	13.6650	−	3.66153i	1.23717	−	0.331499i
$123$	−26.5236	−	7.10698i	−2.39155	−	0.640815i
$124$	6.58626	−	6.58626i	0.591464	−	0.591464i
$125$	6.89673	−	6.89673i	0.616862	−	0.616862i
$126$	28.3613	−	12.2131i	2.52662	−	1.08803i
$127$	−1.51307	+	0.873573i	−0.134264	+	0.0775171i	−0.565627	−	0.824661i	$-0.691366\pi$
$127$	−1.51307	+	0.873573i	−0.134264	+	0.0775171i	0.431364	+	0.902178i	$0.358033\pi$
$128$	−9.22381	+	2.47151i	−0.815278	+	0.218453i
$129$	14.9695	−	25.9279i	1.31799	−	2.28283i
$130$	−7.26846	−	0.589153i	−0.637486	−	0.0516721i
$131$	−5.14945	+	2.97304i	−0.449909	+	0.259755i	−0.707792	−	0.706421i	$-0.750309\pi$
$131$	−5.14945	+	2.97304i	−0.449909	+	0.259755i	0.257882	+	0.966176i	$0.416975\pi$
$132$	0.132802	−	0.495625i	0.0115590	−	0.0431386i
$133$	−6.27631	+	8.41968i	−0.544225	+	0.730079i
$134$	−1.92488	−	1.11133i	−0.166284	−	0.0960043i
$135$	11.3067	+	3.02963i	0.973128	+	0.260749i
$136$	0.0900298	−	0.335996i	0.00771999	−	0.0288114i
$137$	−5.08379	+	18.9730i	−0.434337	+	1.62097i	0.308309	+	0.951286i	$0.400237\pi$
$137$	−5.08379	+	18.9730i	−0.434337	+	1.62097i	−0.742647	+	0.669683i	$0.766430\pi$
$138$	−2.65012	−	0.710096i	−0.225593	−	0.0604474i
$139$	−4.80542	−	2.77441i	−0.407590	−	0.235322i	0.282164	−	0.959366i	$-0.408948\pi$
$139$	−4.80542	−	2.77441i	−0.407590	−	0.235322i	−0.689754	+	0.724044i	$0.742281\pi$
$140$	−3.51726	+	1.51462i	−0.297263	+	0.128009i
$141$	−4.65607	+	17.3767i	−0.392112	+	1.46338i
$142$	4.82597	−	2.78627i	0.404986	−	0.233819i
$143$	0.300217	+	0.353179i	0.0251054	+	0.0295343i
$144$	15.7726	−	27.3189i	1.31438	−	2.27658i
$145$	−9.94177	+	2.66389i	−0.825619	+	0.221224i
$146$	−0.193495	+	0.111715i	−0.0160138	+	0.00924556i
$147$	6.13791	+	20.5946i	0.506246	+	1.69861i
$148$	−3.66689	+	3.66689i	−0.301417	+	0.301417i
$149$	−0.304723	+	0.304723i	−0.0249638	+	0.0249638i	−0.719479	−	0.694515i	$-0.755619\pi$
$149$	−0.304723	+	0.304723i	−0.0249638	+	0.0249638i	0.694515	+	0.719479i	$0.255619\pi$
$150$	20.2572	+	5.42790i	1.65399	+	0.443186i
$151$	−3.42678	+	0.918204i	−0.278868	+	0.0747224i	−0.395542	−	0.918448i	$-0.629443\pi$
$151$	−3.42678	+	0.918204i	−0.278868	+	0.0747224i	0.116674	+	0.993170i	$0.462777\pi$
$152$			5.04693i			0.409360i
$153$	0.878806	+	1.52214i	0.0710473	+	0.123058i
$154$	0.574107	+	0.228489i	0.0462629	+	0.0184122i
$155$			7.97669i			0.640703i
$156$	−6.16478	−	13.0029i	−0.493577	−	1.04107i
$157$	3.24916	+	1.87590i	0.259311	+	0.149713i	0.624020	−	0.781408i	$-0.285498\pi$
$157$	3.24916	+	1.87590i	0.259311	+	0.149713i	−0.364709	+	0.931122i	$0.618832\pi$
$158$	14.7140	−	14.7140i	1.17058	−	1.17058i
$159$	−2.48557	−	1.43504i	−0.197119	−	0.113806i
$160$	−3.54961	+	6.14810i	−0.280621	+	0.486050i
$161$	0.481303	−	1.20933i	0.0379320	−	0.0953088i
$162$	6.11365	+	22.8164i	0.480333	+	1.79263i
$163$	4.76102	+	4.76102i	0.372912	+	0.372912i	0.868537	−	0.495625i	$-0.165061\pi$
$163$	4.76102	+	4.76102i	0.372912	+	0.372912i	−0.495625	+	0.868537i	$0.665061\pi$
$164$	3.00964	+	11.2321i	0.235013	+	0.877081i
$165$	0.219709	+	0.380547i	0.0171043	+	0.0296256i
$166$	−10.3663	+	17.9550i	−0.804584	+	1.39358i
$167$	11.3562	+	3.04289i	0.878770	+	0.235466i	0.669876	−	0.742473i	$-0.266347\pi$
$167$	11.3562	+	3.04289i	0.878770	+	0.235466i	0.208894	+	0.977938i	$0.433014\pi$
$168$	8.28031	+	6.17242i	0.638840	+	0.476212i
$169$	12.8303	+	2.09370i	0.986946	+	0.161054i
$170$	−0.276650	−	0.479172i	−0.0212181	−	0.0367508i
$171$	−18.0321	−	18.0321i	−1.37895	−	1.37895i
$172$	−12.6784			−0.966723
$173$	−16.1407			−1.22715			−0.613576	−	0.789636i	$-0.710270\pi$
$173$	−16.1407			−1.22715			−0.613576	+	0.789636i	$0.710270\pi$
$174$	−36.4560	−	36.4560i	−2.76372	−	2.76372i
$175$	−3.67902	+	9.24401i	−0.278108	+	0.698781i
$176$	0.609725	−	0.163375i	0.0459597	−	0.0123149i
$177$	5.46898	−	20.4105i	0.411074	−	1.53415i
$178$	6.66196	−	3.84629i	0.499335	−	0.288291i
$179$		−	9.19578i		−	0.687325i	−0.939093	−	0.343663i	$-0.888332\pi$
$179$		−	9.19578i		−	0.687325i	0.939093	−	0.343663i	$-0.111668\pi$
$180$	−2.40684	−	8.98243i	−0.179395	−	0.669511i
$181$	−14.6492			−1.08887			−0.544433	−	0.838804i	$-0.683255\pi$
$181$	−14.6492			−1.08887			−0.544433	+	0.838804i	$0.683255\pi$
$182$	16.4180	−	5.54566i	1.21698	−	0.411072i
$183$	−23.9078			−1.76732
$184$	−0.161899	−	0.604215i	−0.0119353	−	0.0445433i
$185$		−	4.44101i		−	0.326510i
$186$	−34.6033	+	19.9782i	−2.53723	+	1.46487i
$187$	−0.00910282	+	0.0339722i	−0.000665664	+	0.00248429i
$188$	7.35861	−	1.97173i	0.536682	−	0.143804i
$189$	−27.5258	+	4.01457i	−2.00221	+	0.292017i
$190$	5.67653	+	5.67653i	0.411819	+	0.411819i
$191$	6.03264			0.436507			0.218253	−	0.975892i	$-0.429964\pi$
$191$	6.03264			0.436507			0.218253	+	0.975892i	$0.429964\pi$
$192$	−5.41407			−0.390727
$193$	0.290670	+	0.290670i	0.0209229	+	0.0209229i	0.717491	−	0.696568i	$-0.245291\pi$
$193$	0.290670	+	0.290670i	0.0209229	+	0.0209229i	−0.696568	+	0.717491i	$0.745291\pi$
$194$	−2.25080	−	3.89849i	−0.161598	−	0.279895i
$195$	11.6071	+	4.14087i	0.831201	+	0.296534i
$196$	6.25326	−	6.61168i	0.446661	−	0.472263i
$197$	18.9784	+	5.08526i	1.35216	+	0.362309i	0.860931	−	0.508722i	$-0.169882\pi$
$197$	18.9784	+	5.08526i	1.35216	+	0.362309i	0.491227	+	0.871032i	$0.336549\pi$
$198$	−0.750235	+	1.29945i	−0.0533169	+	0.0923476i
$199$	8.71102	+	15.0879i	0.617508	+	1.06956i	0.989939	+	0.141495i	$0.0451910\pi$
$199$	8.71102	+	15.0879i	0.617508	+	1.06956i	−0.372431	+	0.928060i	$0.621476\pi$
$200$	1.23754	+	4.61855i	0.0875071	+	0.326581i
$201$	2.65602	+	2.65602i	0.187341	+	0.187341i
$202$	0.793857	+	2.96271i	0.0558556	+	0.208456i
$203$	19.1953	−	15.1584i	1.34725	−	1.06391i
$204$	0.545929	−	0.945576i	0.0382227	−	0.0662036i
$205$	−8.62416	−	4.97916i	−0.602338	−	0.347760i
$206$	−11.2643	+	11.2643i	−0.784824	+	0.784824i
$207$	2.73723	+	1.58034i	0.190251	+	0.109841i
$208$	10.0613	−	14.5661i	0.697623	−	1.00998i
$209$		−	0.510290i		−	0.0352975i
$210$	16.2557	−	2.37085i	1.12175	−	0.163604i
$211$	7.69760	+	13.3326i	0.529925	+	0.917856i	0.999391	+	0.0349058i	$0.0111131\pi$
$211$	7.69760	+	13.3326i	0.529925	+	0.917856i	−0.469466	+	0.882951i	$0.655554\pi$
$212$			1.21541i			0.0834749i
$213$	−9.09644	+	2.43738i	−0.623278	+	0.167007i
$214$	4.73396	+	1.26846i	0.323607	+	0.0867102i
$215$	7.67750	−	7.67750i	0.523601	−	0.523601i
$216$	−9.45297	+	9.45297i	−0.643193	+	0.643193i
$217$	−7.49722	−	17.4101i	−0.508944	−	1.18187i
$218$	−14.6203	+	8.44105i	−0.990214	+	0.571700i
$219$	0.364718	−	0.0977259i	0.0246454	−	0.00660370i
$220$	0.0930415	−	0.161153i	0.00627286	−	0.0108649i
$221$	0.422559	+	0.891274i	0.0284244	+	0.0599536i
$222$	19.2653	−	11.1228i	1.29300	−	0.746516i
$223$	−3.59157	+	13.4039i	−0.240509	+	0.897592i	0.735079	+	0.677982i	$0.237145\pi$
$223$	−3.59157	+	13.4039i	−0.240509	+	0.897592i	−0.975588	+	0.219610i	$0.929521\pi$
$224$	1.96889	−	16.7552i	0.131552	−	1.11950i
$225$	−20.9231	−	12.0799i	−1.39487	−	0.805330i
$226$	−6.08779	−	1.63122i	−0.404954	−	0.108507i
$227$	3.09161	−	11.5380i	0.205197	−	0.765807i	−0.784192	−	0.620518i	$-0.786922\pi$
$227$	3.09161	−	11.5380i	0.205197	−	0.765807i	0.989389	−	0.145289i	$-0.0464111\pi$
$228$	−4.10015	+	15.3020i	−0.271539	+	1.01340i
$229$	−23.7322	−	6.35901i	−1.56826	−	0.420215i	−0.632997	−	0.774155i	$-0.718175\pi$
$229$	−23.7322	−	6.35901i	−1.56826	−	0.420215i	−0.935268	+	0.353939i	$0.884842\pi$
$230$	−0.861686	−	0.497495i	−0.0568179	−	0.0328038i
$231$	−0.837214	−	0.624087i	−0.0550846	−	0.0410619i
$232$	3.04233	−	11.3541i	0.199739	−	0.745435i
$233$	−15.3919	+	8.88654i	−1.00836	+	0.582177i	−0.910711	−	0.413044i	$-0.864465\pi$
$233$	−15.3919	+	8.88654i	−1.00836	+	0.582177i	−0.0976486	+	0.995221i	$0.531132\pi$
$234$	7.57186	+	41.3943i	0.494988	+	2.70603i
$235$	−3.26205	+	5.65004i	−0.212793	+	0.368568i
$236$	−8.64336	+	2.31598i	−0.562635	+	0.150757i
$237$	−30.4544	+	17.5828i	−1.97822	+	1.14213i
$238$	1.05419	+	0.785829i	0.0683331	+	0.0509377i
$239$	17.0580	−	17.0580i	1.10339	−	1.10339i	0.109392	−	0.993999i	$-0.465110\pi$
$239$	17.0580	−	17.0580i	1.10339	−	1.10339i	0.993999	−	0.109392i	$-0.0348902\pi$
$240$	11.8667	−	11.8667i	0.765992	−	0.765992i
$241$	10.0223	+	2.68547i	0.645594	+	0.172986i	0.566736	−	0.823900i	$-0.308206\pi$
$241$	10.0223	+	2.68547i	0.645594	+	0.172986i	0.0788579	+	0.996886i	$0.474873\pi$
$242$	19.2728	−	5.16413i	1.23890	−	0.331963i
$243$		−	8.37731i		−	0.537405i
$244$	5.06220	+	8.76798i	0.324074	+	0.561312i
$245$	0.217046	+	7.79043i	0.0138666	+	0.497712i
$246$		−	49.8827i		−	3.18040i
$247$	−9.26892	−	10.9041i	−0.589767	−	0.693809i
$248$	−7.88939	−	4.55494i	−0.500977	−	0.289239i
$249$	24.7750	−	24.7750i	1.57005	−	1.57005i
$250$	15.3444	+	8.85909i	0.970465	+	0.560298i
$251$	4.56198	−	7.90158i	0.287950	−	0.498743i	−0.685371	−	0.728194i	$-0.740360\pi$
$251$	4.56198	−	7.90158i	0.287950	−	0.498743i	0.973320	+	0.229451i	$0.0736931\pi$
$252$	13.6957	+	17.3431i	0.862748	+	1.09251i
$253$	0.0163694	+	0.0610915i	0.00102914	+	0.00384079i
$254$	−2.24427	−	2.24427i	−0.140818	−	0.140818i
$255$	0.242009	+	0.903188i	0.0151552	+	0.0565599i
$256$	−10.4371	−	18.0776i	−0.652320	−	1.12985i
$257$	−15.3580	+	26.6008i	−0.958003	+	1.65931i	−0.230661	+	0.973034i	$0.574089\pi$
$257$	−15.3580	+	26.6008i	−0.958003	+	1.65931i	−0.727342	+	0.686276i	$0.759244\pi$
$258$	52.5342	+	14.0765i	3.27064	+	0.876364i
$259$	4.17407	+	9.69303i	0.259364	+	0.602296i
$260$	−0.939035	−	5.13358i	−0.0582365	−	0.318371i
$261$	29.6970	+	51.4368i	1.83820	+	3.18386i
$262$	−7.63794	−	7.63794i	−0.471873	−	0.471873i
$263$	5.54678			0.342029			0.171015	−	0.985268i	$-0.445295\pi$
$263$	5.54678			0.342029			0.171015	+	0.985268i	$0.445295\pi$
$264$	−0.501843			−0.0308863
$265$	−0.736000	−	0.736000i	−0.0452121	−	0.0452121i
$266$	−17.7250	−	7.05438i	−1.08679	−	0.432532i
$267$	−12.5571	+	3.36466i	−0.768481	+	0.205914i
$268$	0.411691	−	1.53645i	0.0251481	−	0.0938538i
$269$	4.72057	−	2.72542i	0.287818	−	0.166172i	−0.349139	−	0.937071i	$-0.613526\pi$
$269$	4.72057	−	2.72542i	0.287818	−	0.166172i	0.636958	+	0.770899i	$0.280193\pi$
$270$			21.2644i			1.29411i
$271$	2.76799	+	10.3303i	0.168144	+	0.627521i	0.997618	+	0.0689762i	$0.0219733\pi$
$271$	2.76799	+	10.3303i	0.168144	+	0.627521i	−0.829475	+	0.558544i	$0.811360\pi$
$272$	1.34322			0.0814446
$273$	−29.2258	+	1.87146i	−1.76883	+	0.113266i
$274$	−35.6823			−2.15564
$275$	−0.125126	−	0.466977i	−0.00754539	−	0.0281598i
$276$		−	1.96347i		−	0.118187i
$277$	21.2619	−	12.2755i	1.27750	−	0.737566i	0.301113	−	0.953588i	$-0.402642\pi$
$277$	21.2619	−	12.2755i	1.27750	−	0.737566i	0.976388	+	0.216023i	$0.0693086\pi$
$278$	2.60890	−	9.73655i	0.156472	−	0.583960i
$279$	44.4621	−	11.9136i	2.66187	−	0.713247i
$280$	2.32124	+	2.93942i	0.138721	+	0.175664i
$281$	8.66937	+	8.66937i	0.517172	+	0.517172i	0.916714	−	0.399543i	$-0.130831\pi$
$281$	8.66937	+	8.66937i	0.517172	+	0.517172i	−0.399543	+	0.916714i	$0.630831\pi$
$282$	−32.6802			−1.94608
$283$	2.83541			0.168548			0.0842738	−	0.996443i	$-0.473143\pi$
$283$	2.83541			0.168548			0.0842738	+	0.996443i	$0.473143\pi$
$284$	2.81995	+	2.81995i	0.167333	+	0.167333i
$285$	−6.78331	−	11.7490i	−0.401809	−	0.695953i
$286$	−0.478571	+	0.692848i	−0.0282985	+	0.0409690i
$287$	23.5031	+	2.76184i	1.38735	+	0.163026i
$288$	39.5710	+	10.6030i	2.33174	+	0.624789i
$289$	8.46258	−	14.6576i	0.497799	−	0.862213i
$290$	−9.34870	−	16.1924i	−0.548974	−	0.950851i
$291$	1.96896	+	7.34824i	0.115422	+	0.430762i
$292$	−0.113065	−	0.113065i	−0.00661661	−	0.00661661i
$293$	−5.11331	−	19.0831i	−0.298723	−	1.11485i	−0.938215	−	0.346052i	$-0.887522\pi$
$293$	−5.11331	−	19.0831i	−0.298723	−	1.11485i	0.639493	−	0.768797i	$-0.279144\pi$
$294$	−33.2516	+	20.4532i	−1.93927	+	1.19286i
$295$	3.83157	−	6.63648i	0.223083	−	0.386391i
$296$	4.39241	+	2.53596i	0.255304	+	0.147400i
$297$	0.955780	−	0.955780i	0.0554600	−	0.0554600i
$298$	−0.677971	−	0.391427i	−0.0392738	−	0.0226747i
$299$	1.45946	+	1.00809i	0.0844025	+	0.0582994i
$300$			15.0085i			0.866517i
$301$	−9.54104	+	23.9731i	−0.549936	+	1.38178i
$302$	−3.22236	−	5.58129i	−0.185426	−	0.321167i
$303$		−	5.18346i		−	0.297782i
$304$	−18.8247	+	5.04406i	−1.07967	+	0.289296i
$305$	−8.37493	−	2.24406i	−0.479547	−	0.128494i
$306$	−2.25772	+	2.25772i	−0.129065	+	0.129065i
$307$	6.98294	−	6.98294i	0.398537	−	0.398537i	−0.479180	−	0.877717i	$-0.659066\pi$
$307$	6.98294	−	6.98294i	0.398537	−	0.398537i	0.877717	+	0.479180i	$0.159066\pi$
$308$	−0.0516082	+	0.439183i	−0.00294065	+	0.0250248i
$309$	23.3144	−	13.4606i	1.32631	−	0.765746i
$310$	−13.9968	+	3.75042i	−0.794962	+	0.213010i
$311$	−13.2286	+	22.9126i	−0.750126	+	1.29926i	0.197636	+	0.980276i	$0.436674\pi$
$311$	−13.2286	+	22.9126i	−0.750126	+	1.29926i	−0.947761	+	0.318980i	$0.896660\pi$
$312$	−10.7236	+	9.11549i	−0.607103	+	0.516063i
$313$	10.2371	−	5.91040i	0.578636	−	0.334076i	−0.181955	−	0.983307i	$-0.558243\pi$
$313$	10.2371	−	5.91040i	0.578636	−	0.334076i	0.760591	+	0.649231i	$0.224909\pi$
$314$	−1.76400	+	6.58332i	−0.0995480	+	0.371518i
$315$	−18.7957	−	2.20867i	−1.05902	−	0.124444i
$316$	12.8967	+	7.44590i	0.725495	+	0.418865i
$317$	−3.52831	−	0.945407i	−0.198170	−	0.0530994i	0.158369	−	0.987380i	$-0.449376\pi$
$317$	−3.52831	−	0.945407i	−0.198170	−	0.0530994i	−0.356538	+	0.934281i	$0.616043\pi$
$318$	1.34944	−	5.03617i	0.0756726	−	0.282414i
$319$	−0.307607	+	1.14800i	−0.0172227	+	0.0642759i
$320$	−1.89655	−	0.508180i	−0.106020	−	0.0284081i
$321$	−7.17274	−	4.14118i	−0.400343	−	0.231138i
$322$	2.34832	+	0.275950i	0.130867	+	0.0153781i
$323$	0.281041	−	1.04886i	0.0156375	−	0.0583601i
$324$	−14.6399	+	8.45233i	−0.813326	+	0.469574i
$325$	−11.1559	−	7.70574i	−0.618819	−	0.427437i
$326$	−6.11569	+	10.5927i	−0.338717	+	0.586675i
$327$	27.5578	−	7.38408i	1.52395	−	0.408341i
$328$	9.84934	−	5.68652i	0.543839	−	0.313985i
$329$	1.80939	−	15.3978i	0.0997550	−	0.848911i
$330$	−0.564448	+	0.564448i	−0.0310718	+	0.0310718i
$331$	6.09024	−	6.09024i	0.334750	−	0.334750i	−0.519637	−	0.854387i	$-0.673933\pi$
$331$	6.09024	−	6.09024i	0.334750	−	0.334750i	0.854387	+	0.519637i	$0.173933\pi$
$332$	−14.3318	−	3.84020i	−0.786561	−	0.210758i
$333$	−24.7542	+	6.63287i	−1.35652	+	0.363479i
$334$			21.3575i			1.16863i
$335$	0.681105	+	1.17971i	0.0372128	+	0.0644544i
$336$	−14.7471	+	37.0538i	−0.804518	+	2.02145i
$337$		−	26.3426i		−	1.43497i	−0.696572	−	0.717487i	$-0.745292\pi$
$337$		−	26.3426i		−	1.43497i	0.696572	−	0.717487i	$-0.254708\pi$
$338$	2.35862	+	23.4978i	0.128292	+	1.27811i
$339$	9.22402	+	5.32549i	0.500980	+	0.289241i
$340$	0.279994	−	0.279994i	0.0151848	−	0.0151848i
$341$	0.797688	+	0.460546i	0.0431972	+	0.0249399i
$342$	23.1628	−	40.1192i	1.25250	−	2.16940i
$343$	−7.79588	−	16.7995i	−0.420938	−	0.907089i
$344$	3.20938	+	11.9776i	0.173038	+	0.645787i
$345$	1.18899	+	1.18899i	0.0640129	+	0.0640129i
$346$	−7.58889	−	28.3221i	−0.407981	−	1.52261i
$347$	−2.61338	−	4.52651i	−0.140294	−	0.242996i	0.787314	−	0.616553i	$-0.211471\pi$
$347$	−2.61338	−	4.52651i	−0.140294	−	0.242996i	−0.927607	+	0.373557i	$0.878138\pi$
$348$	18.4483	−	31.9534i	0.988932	−	1.71288i
$349$	11.2071	+	3.00292i	0.599900	+	0.160743i	0.545974	−	0.837802i	$-0.316160\pi$
$349$	11.2071	+	3.00292i	0.599900	+	0.160743i	0.0539262	+	0.998545i	$0.482826\pi$
$350$	−17.9503	−	2.10933i	−0.959484	−	0.112748i
$351$	3.06264	−	37.7842i	0.163472	−	2.01677i
$352$	0.409883	+	0.709938i	0.0218468	+	0.0378398i
$353$	6.10423	+	6.10423i	0.324895	+	0.324895i	0.850641	−	0.525746i	$-0.176214\pi$
$353$	6.10423	+	6.10423i	0.324895	+	0.324895i	−0.525746	+	0.850641i	$0.676214\pi$
$354$	38.3858			2.04018
$355$	−3.41527			−0.181264
$356$	3.89277	+	3.89277i	0.206316	+	0.206316i
$357$	−1.37711	−	1.74385i	−0.0728844	−	0.0922945i
$358$	16.1359	−	4.32360i	0.852809	−	0.228510i
$359$	−8.03606	+	29.9910i	−0.424127	+	1.58286i	0.341695	+	0.939811i	$0.388999\pi$
$359$	−8.03606	+	29.9910i	−0.424127	+	1.58286i	−0.765822	+	0.643053i	$0.777668\pi$
$360$	−7.87661	+	4.54756i	−0.415134	+	0.239678i
$361$		−	3.24528i		−	0.170804i
$362$	−6.88765	−	25.7051i	−0.362007	−	1.35103i
$363$	−33.7190			−1.76979
$364$	6.87456	+	10.3220i	0.360325	+	0.541022i
$365$	0.136934			0.00716744
$366$	−11.2408	−	41.9512i	−0.587566	−	2.19283i
$367$		−	2.61926i		−	0.136724i	−0.997661	−	0.0683622i	$-0.978223\pi$
$367$		−	2.61926i		−	0.136724i	0.997661	−	0.0683622i	$-0.0217773\pi$
$368$	2.09187	−	1.20774i	0.109046	−	0.0629579i
$369$	−14.8732	+	55.5077i	−0.774270	+	2.88962i
$370$	7.79268	−	2.08804i	0.405122	−	0.108552i
$371$	2.29817	+	0.914647i	0.119315	+	0.0474861i
$372$	−20.2197	−	20.2197i	−1.04834	−	1.04834i
$373$	35.8363			1.85553			0.927767	−	0.373161i	$-0.121726\pi$
$373$	35.8363			1.85553			0.927767	+	0.373161i	$0.121726\pi$
$374$	−0.0638912			−0.00330373
$375$	−21.1728	−	21.1728i	−1.09336	−	1.09336i
$376$	−3.72547	−	6.45270i	−0.192126	−	0.332773i
$377$	14.2793	+	30.1184i	0.735423	+	1.55117i
$378$	−19.9862	−	46.4121i	−1.02798	−	2.38718i
$379$	−22.2660	−	5.96617i	−1.14373	−	0.306461i	−0.363280	−	0.931680i	$-0.618343\pi$
$379$	−22.2660	−	5.96617i	−1.14373	−	0.306461i	−0.780450	+	0.625219i	$0.785010\pi$
$380$	−2.87257	+	4.97544i	−0.147360	+	0.255234i
$381$	2.68185	+	4.64509i	0.137395	+	0.237975i
$382$	2.83638	+	10.5855i	0.145122	+	0.541602i
$383$	−9.22669	−	9.22669i	−0.471462	−	0.471462i	0.430926	−	0.902387i	$-0.358187\pi$
$383$	−9.22669	−	9.22669i	−0.471462	−	0.471462i	−0.902387	+	0.430926i	$0.858187\pi$
$384$	7.58748	+	28.3169i	0.387197	+	1.44504i
$385$	−0.234698	−	0.297201i	−0.0119613	−	0.0151468i
$386$	−0.373376	+	0.646707i	−0.0190044	+	0.0329165i
$387$	−54.2611	−	31.3277i	−2.75825	−	1.59247i
$388$	2.27800	−	2.27800i	0.115648	−	0.115648i
$389$	−21.4938	−	12.4094i	−1.08978	−	0.629183i	−0.156260	−	0.987716i	$-0.549944\pi$
$389$	−21.4938	−	12.4094i	−1.08978	−	0.629183i	−0.933517	+	0.358533i	$0.883277\pi$
$390$	−1.80868	+	22.3140i	−0.0915862	+	1.12991i
$391$			0.134584i			0.00680621i
$392$	−7.82911	−	4.23391i	−0.395430	−	0.213845i
$393$	9.12714	+	15.8087i	0.460403	+	0.797442i
$394$			35.6925i			1.79816i
$395$	−12.3186	+	3.30075i	−0.619814	+	0.166079i
$396$	−1.03723	−	0.277924i	−0.0521226	−	0.0139662i
$397$	6.84066	−	6.84066i	0.343323	−	0.343323i	−0.514292	−	0.857615i	$-0.671945\pi$
$397$	6.84066	−	6.84066i	0.343323	−	0.343323i	0.857615	+	0.514292i	$0.171945\pi$
$398$	−22.3792	+	22.3792i	−1.12177	+	1.12177i
$399$	25.8482	+	19.2681i	1.29403	+	0.964611i
$400$	−15.9900	+	9.23184i	−0.799501	+	0.461592i
$401$	6.76490	−	1.81265i	0.337823	−	0.0905194i	−0.0859195	−	0.996302i	$-0.527383\pi$
$401$	6.76490	−	1.81265i	0.337823	−	0.0905194i	0.423743	+	0.905783i	$0.360716\pi$
$402$	−3.41175	+	5.90933i	−0.170163	+	0.294731i
$403$	25.4107	−	4.64813i	1.26579	−	0.231540i
$404$	−1.90099	+	1.09754i	−0.0945776	+	0.0546044i
$405$	3.74689	−	13.9836i	0.186185	−	0.694850i
$406$	35.6237	+	26.5551i	1.76798	+	1.31791i
$407$	−0.444112	−	0.256408i	−0.0220138	−	0.0127097i
$408$	−1.03150	−	0.276389i	−0.0510668	−	0.0136833i
$409$	−3.93505	+	14.6858i	−0.194576	+	0.726166i	0.797801	+	0.602921i	$0.205997\pi$
$409$	−3.93505	+	14.6858i	−0.194576	+	0.726166i	−0.992376	+	0.123245i	$0.960670\pi$
$410$	4.68213	−	17.4739i	0.231234	−	0.862977i
$411$	58.2465	+	15.6071i	2.87309	+	0.769841i
$412$	−9.87310	−	5.70024i	−0.486413	−	0.280831i
$413$	−2.12529	+	18.0862i	−0.104579	+	0.889962i
$414$	−1.48606	+	5.54607i	−0.0730361	+	0.272574i
$415$	11.0042	−	6.35326i	0.540173	−	0.311869i
$416$	21.6539	+	7.72509i	1.06167	+	0.378754i
$417$	−8.51736	+	14.7525i	−0.417097	+	0.722433i
$418$	0.895410	−	0.239924i	0.0437959	−	0.0117351i
$419$	−21.4435	+	12.3804i	−1.04758	+	0.604823i	−0.921972	−	0.387257i	$-0.873423\pi$
$419$	−21.4435	+	12.3804i	−1.04758	+	0.604823i	−0.125612	+	0.992079i	$0.540089\pi$
$420$	4.64985	+	10.7979i	0.226889	+	0.526883i
$421$	−4.11077	+	4.11077i	−0.200347	+	0.200347i	−0.800149	−	0.599802i	$-0.795246\pi$
$421$	−4.11077	+	4.11077i	−0.200347	+	0.200347i	0.599802	+	0.800149i	$0.295246\pi$
$422$	−19.7757	+	19.7757i	−0.962665	+	0.962665i
$423$	36.3653	+	9.74407i	1.76814	+	0.473773i
$424$	1.14822	−	0.307666i	0.0557627	−	0.0149416i
$425$		−	1.02875i		−	0.0499015i
$426$	−8.55379	−	14.8156i	−0.414432	−	0.717818i
$427$	20.3884	−	2.97360i	0.986666	−	0.143903i
$428$			3.50738i			0.169536i
$429$	1.08425	−	0.921658i	0.0523480	−	0.0444981i
$430$	17.0815	+	9.86201i	0.823744	+	0.475589i
$431$	−13.6699	+	13.6699i	−0.658458	+	0.658458i	−0.955015	−	0.296557i	$-0.904161\pi$
$431$	−13.6699	+	13.6699i	−0.658458	+	0.658458i	0.296557	+	0.955015i	$0.404161\pi$
$432$	−44.7064	−	25.8113i	−2.15094	−	1.24185i
$433$	−1.10640	+	1.91634i	−0.0531702	+	0.0920934i	−0.891385	−	0.453246i	$-0.850266\pi$
$433$	−1.10640	+	1.91634i	−0.0531702	+	0.0920934i	0.838215	+	0.545339i	$0.183599\pi$
$434$	27.0246	−	21.3412i	1.29722	−	1.02441i
$435$	8.17807	+	30.5210i	0.392108	+	1.46337i
$436$	−8.54307	−	8.54307i	−0.409139	−	0.409139i
$437$	−0.505391	−	1.88614i	−0.0241761	−	0.0902265i
$438$	0.342961	+	0.594025i	0.0163873	+	0.0283836i
$439$	3.67134	−	6.35896i	0.175224	−	0.303496i	−0.765015	−	0.644013i	$-0.777268\pi$
$439$	3.67134	−	6.35896i	0.175224	−	0.303496i	0.940239	+	0.340516i	$0.110602\pi$
$440$	−0.175796	−	0.0471044i	−0.00838075	−	0.00224562i
$441$	43.0997	−	12.8452i	2.05237	−	0.611676i
$442$	−1.36525	+	1.16052i	−0.0649383	+	0.0552003i
$443$	−13.2926	−	23.0235i	−0.631552	−	1.09388i	−0.987235	−	0.159273i	$-0.949085\pi$
$443$	−13.2926	−	23.0235i	−0.631552	−	1.09388i	0.355683	−	0.934607i	$-0.384248\pi$
$444$	11.2573	+	11.2573i	0.534246	+	0.534246i
$445$	−4.71457			−0.223492
$446$	−25.2086			−1.19366
$447$	0.935490	+	0.935490i	0.0442472	+	0.0442472i
$448$	4.61708	−	0.673390i	0.218137	−	0.0318147i
$449$	−21.6019	+	5.78821i	−1.01946	+	0.273163i	−0.729576	−	0.683900i	$-0.760282\pi$
$449$	−21.6019	+	5.78821i	−1.01946	+	0.273163i	−0.289881	+	0.957063i	$0.593616\pi$
$450$	11.3593	−	42.3935i	0.535483	−	1.99845i
$451$	−0.995856	+	0.574958i	−0.0468930	+	0.0270737i
$452$		−	4.51043i		−	0.212153i
$453$	2.81886	+	10.5201i	0.132442	+	0.494279i
$454$	21.6995			1.01841
$455$	−10.4135	−	2.08764i	−0.488192	−	0.0978702i
$456$	15.4939			0.725570
$457$	0.585332	+	2.18449i	0.0273807	+	0.102186i	0.978264	−	0.207364i	$-0.0664883\pi$
$457$	0.585332	+	2.18449i	0.0273807	+	0.102186i	−0.950883	+	0.309550i	$0.899822\pi$
$458$		−	44.6328i		−	2.08555i
$459$	2.49092	−	1.43813i	0.116266	−	0.0671263i
$460$	0.184296	−	0.687804i	0.00859287	−	0.0320690i
$461$	3.60574	−	0.966154i	0.167936	−	0.0449983i	−0.173871	−	0.984768i	$-0.555628\pi$
$461$	3.60574	−	0.966154i	0.167936	−	0.0449983i	0.341807	+	0.939770i	$0.388961\pi$
$462$	0.701455	−	1.76249i	0.0326346	−	0.0819986i
$463$	−15.5412	−	15.5412i	−0.722262	−	0.722262i	0.246804	−	0.969066i	$-0.420620\pi$
$463$	−15.5412	−	15.5412i	−0.722262	−	0.722262i	−0.969066	+	0.246804i	$0.920620\pi$
$464$	45.3907			2.10721
$465$	24.4882			1.13561
$466$	−22.8301	−	22.8301i	−1.05759	−	1.05759i
$467$	2.73553	+	4.73808i	0.126585	+	0.219252i	0.922351	−	0.386352i	$-0.126265\pi$
$467$	2.73553	+	4.73808i	0.126585	+	0.219252i	−0.795766	+	0.605604i	$0.792932\pi$
$468$	−27.2121	+	12.9014i	−1.25788	+	0.596369i
$469$	−2.59539	−	1.93469i	−0.119844	−	0.0893356i
$470$	−11.4479	−	3.06745i	−0.528052	−	0.141491i
$471$	5.75897	−	9.97483i	0.265359	−	0.459616i
$472$	4.37590	+	7.57928i	0.201417	+	0.348865i
$473$	−0.324497	−	1.21104i	−0.0149204	−	0.0556837i
$474$	−45.1715	−	45.1715i	−2.07480	−	2.07480i
$475$	3.86315	+	14.4175i	0.177253	+	0.661519i
$476$	−0.347956	+	0.874283i	−0.0159485	+	0.0400727i
$477$	−3.00321	+	5.20171i	−0.137508	+	0.238170i
$478$	37.9520	+	21.9116i	1.73588	+	1.00221i
$479$	−1.12124	+	1.12124i	−0.0512305	+	0.0512305i	−0.732258	−	0.681027i	$-0.761533\pi$
$479$	−1.12124	+	1.12124i	−0.0512305	+	0.0512305i	0.681027	+	0.732258i	$0.261533\pi$
$480$	18.8745	+	10.8972i	0.861499	+	0.497387i
$481$	−14.1473	+	2.58784i	−0.645063	+	0.117995i
$482$			18.8489i			0.858542i
$483$	−3.71262	−	1.47759i	−0.168930	−	0.0672325i
$484$	7.13958	+	12.3661i	0.324527	+	0.562096i
$485$			2.75891i			0.125276i
$486$	14.6997	−	3.93878i	0.666793	−	0.178667i
$487$	−7.61733	−	2.04106i	−0.345174	−	0.0924891i	0.0820672	−	0.996627i	$-0.473848\pi$
$487$	−7.61733	−	2.04106i	−0.345174	−	0.0924891i	−0.427241	+	0.904138i	$0.640514\pi$
$488$	7.00185	−	7.00185i	0.316959	−	0.316959i
$489$	14.6162	−	14.6162i	0.660967	−	0.660967i
$490$	−13.5679	+	4.04370i	−0.612934	+	0.182676i
$491$	7.46842	−	4.31189i	0.337045	−	0.194593i	−0.321919	−	0.946767i	$-0.604328\pi$
$491$	7.46842	−	4.31189i	0.337045	−	0.194593i	0.658965	+	0.752174i	$0.270995\pi$
$492$	34.4823	−	9.23950i	1.55458	−	0.416549i
$493$	−1.26452	+	2.19022i	−0.0569512	+	0.0986424i
$494$	14.7754	−	21.3910i	0.664779	−	0.962428i
$495$	0.796396	−	0.459800i	0.0357953	−	0.0206665i
$496$	9.10470	−	33.9792i	0.408813	−	1.52571i
$497$	7.45423	−	3.20998i	0.334368	−	0.143987i
$498$	55.1214	+	31.8244i	2.47005	+	1.42608i
$499$	−15.3177	−	4.10435i	−0.685712	−	0.183736i	−0.100890	−	0.994898i	$-0.532169\pi$
$499$	−15.3177	−	4.10435i	−0.685712	−	0.183736i	−0.584822	+	0.811161i	$0.698836\pi$
$500$	−3.28184	+	12.2480i	−0.146768	+	0.547747i
$501$	9.34158	−	34.8633i	0.417351	−	1.55758i
$502$	16.0099	+	4.28983i	0.714556	+	0.191465i
$503$	−21.6152	−	12.4795i	−0.963773	−	0.556435i	−0.0664408	−	0.997790i	$-0.521164\pi$
$503$	−21.6152	−	12.4795i	−0.963773	−	0.556435i	−0.897332	+	0.441356i	$0.854498\pi$
$504$	12.9174	−	17.3288i	0.575388	−	0.771884i
$505$	0.486534	−	1.81577i	0.0216505	−	0.0808007i
$506$	−0.0995013	+	0.0574471i	−0.00442337	+	0.00255384i
$507$	6.42760	−	39.3886i	0.285460	−	1.74931i
$508$	1.13570	−	1.96709i	0.0503884	−	0.0872753i
$509$	−5.00875	+	1.34209i	−0.222009	+	0.0594872i	−0.368109	−	0.929783i	$-0.619995\pi$
$509$	−5.00875	+	1.34209i	−0.222009	+	0.0594872i	0.146100	+	0.989270i	$0.453328\pi$
$510$	−1.47105	+	0.849308i	−0.0651390	+	0.0376080i
$511$	−0.298874	+	0.128703i	−0.0132214	+	0.00569348i
$512$	13.3091	−	13.3091i	0.588184	−	0.588184i
$513$	−29.5088	+	29.5088i	−1.30285	+	1.30285i
$514$	−53.8974	−	14.4418i	−2.37731	−	0.636999i
$515$	9.43051	−	2.52690i	0.415558	−	0.111348i
$516$			38.9225i			1.71347i
$517$	0.376678	+	0.652426i	0.0165663	+	0.0286937i
$518$	−15.0459	+	11.8817i	−0.661079	+	0.522050i
$519$			49.5514i			2.17506i
$520$	−4.61208	+	2.18662i	−0.202253	+	0.0958896i
$521$	−12.8926	−	7.44352i	−0.564833	−	0.326107i	0.190250	−	0.981736i	$-0.439070\pi$
$521$	−12.8926	−	7.44352i	−0.564833	−	0.326107i	−0.755083	+	0.655629i	$0.772404\pi$
$522$	−76.2938	+	76.2938i	−3.33929	+	3.33929i
$523$	−15.9255	−	9.19458i	−0.696372	−	0.402051i	0.109623	−	0.993973i	$-0.465036\pi$
$523$	−15.9255	−	9.19458i	−0.696372	−	0.402051i	−0.805995	+	0.591923i	$0.798369\pi$
$524$	3.86512	−	6.69459i	0.168849	−	0.292455i
$525$	28.3789	+	11.2945i	1.23855	+	0.492932i
$526$	2.60794	+	9.73298i	0.113712	+	0.424378i
$527$	1.38594	+	1.38594i	0.0603725	+	0.0603725i
$528$	−0.501558	−	1.87184i	−0.0218275	−	0.0814613i
$529$	−11.3790	−	19.7090i	−0.494739	−	0.856913i
$530$	0.945417	−	1.63751i	0.0410663	−	0.0711289i
$531$	−42.7144	−	11.4453i	−1.85365	−	0.496683i
$532$	1.59335	−	13.5594i	0.0690807	−	0.587873i
$533$	−10.8363	+	30.3747i	−0.469371	+	1.31567i
$534$	−11.8080	−	20.4520i	−0.510982	−	0.885046i
$535$	−2.12391	−	2.12391i	−0.0918248	−	0.0918248i
$536$	−1.55573			−0.0671973
$537$	−28.2308			−1.21825
$538$	7.00181	+	7.00181i	0.301869	+	0.301869i
$539$	0.791593	+	0.428086i	0.0340963	+	0.0184390i
$540$	−14.6994	+	3.93870i	−0.632562	+	0.169494i
$541$	−6.71321	+	25.0540i	−0.288623	+	1.07716i	0.657527	+	0.753431i	$0.271602\pi$
$541$	−6.71321	+	25.0540i	−0.288623	+	1.07716i	−0.946151	+	0.323726i	$0.895064\pi$
$542$	−16.8252	+	9.71404i	−0.722704	+	0.417254i
$543$			44.9727i			1.92996i
$544$	0.451484	+	1.68496i	0.0193572	+	0.0722422i
$545$	10.3466			0.443200
$546$	−17.0250	−	50.4028i	−0.728604	−	2.15704i
$547$	−32.7020			−1.39824			−0.699119	−	0.715006i	$-0.746424\pi$
$547$	−32.7020			−1.39824			−0.699119	+	0.715006i	$0.746424\pi$
$548$	−6.60923	−	24.6660i	−0.282332	−	1.05368i
$549$			50.0335i			2.13538i
$550$	0.760577	−	0.439119i	0.0324311	−	0.0187241i
$551$	9.49708	−	35.4436i	0.404589	−	1.50995i
$552$	−1.85492	+	0.497025i	−0.0789508	+	0.0211548i
$553$	23.7844	−	18.7824i	1.01141	−	0.798708i
$554$	31.5367	+	31.5367i	1.33987	+	1.33987i
$555$	−13.6338			−0.578722
$556$	7.21380			0.305933
$557$	6.56455	+	6.56455i	0.278149	+	0.278149i	0.832370	−	0.554221i	$-0.186984\pi$
$557$	6.56455	+	6.56455i	0.278149	+	0.278149i	−0.554221	+	0.832370i	$0.686984\pi$
$558$	41.8097	+	72.4165i	1.76994	+	3.06563i
$559$	−28.9313	−	19.9838i	−1.22366	−	0.845223i
$560$	−8.64389	+	11.5958i	−0.365271	+	0.490012i
$561$	0.104294	+	0.0279454i	0.00440328	+	0.00117986i
$562$	−11.1361	+	19.2883i	−0.469749	+	0.813628i
$563$	−17.3494	−	30.0500i	−0.731189	−	1.26646i	−0.956375	−	0.292141i	$-0.905632\pi$
$563$	−17.3494	−	30.0500i	−0.731189	−	1.26646i	0.225186	−	0.974316i	$-0.427701\pi$
$564$	−6.05317	−	22.5907i	−0.254884	−	0.951242i
$565$	2.73132	+	2.73132i	0.114907	+	0.114907i
$566$	1.33313	+	4.97531i	0.0560357	+	0.209128i
$567$	4.96502	+	34.0425i	0.208511	+	1.42965i
$568$	1.95023	−	3.37789i	0.0818297	−	0.141733i
$569$	−24.9820	−	14.4234i	−1.04730	−	0.604659i	−0.125408	−	0.992105i	$-0.540024\pi$
$569$	−24.9820	−	14.4234i	−1.04730	−	0.604659i	−0.921892	+	0.387446i	$0.873357\pi$
$570$	17.4268	−	17.4268i	0.729928	−	0.729928i
$571$	21.3819	+	12.3448i	0.894804	+	0.516615i	0.875511	−	0.483199i	$-0.160525\pi$
$571$	21.3819	+	12.3448i	0.894804	+	0.516615i	0.0192930	+	0.999814i	$0.493858\pi$
$572$	−0.567586	−	0.202488i	−0.0237320	−	0.00846647i
$573$		−	18.5200i		−	0.773686i
$574$	6.20430	+	42.5396i	0.258962	+	1.77557i
$575$	−0.924987	−	1.60212i	−0.0385746	−	0.0668132i
$576$			11.3304i			0.472099i
$577$	−3.59432	+	0.963094i	−0.149633	+	0.0400941i	−0.332858	−	0.942977i	$-0.608013\pi$
$577$	−3.59432	+	0.963094i	−0.149633	+	0.0400941i	0.183225	+	0.983071i	$0.441346\pi$
$578$	29.6987	+	7.95774i	1.23530	+	0.330998i
$579$	0.892350	−	0.892350i	0.0370848	−	0.0370848i
$580$	9.46168	−	9.46168i	0.392875	−	0.392875i
$581$	−18.0465	+	24.2094i	−0.748696	+	1.00438i
$582$	−11.9683	+	6.90988i	−0.496101	+	0.286424i
$583$	−0.116096	+	0.0311078i	−0.00480819	+	0.00128835i
$584$	−0.0781935	+	0.135435i	−0.00323567	+	0.00560435i
$585$	8.66587	−	24.2909i	0.358290	−	1.00431i
$586$	31.0812	−	17.9447i	1.28395	−	0.741290i
$587$	−4.43305	+	16.5444i	−0.182972	+	0.682859i	0.812084	+	0.583540i	$0.198333\pi$
$587$	−4.43305	+	16.5444i	−0.182972	+	0.682859i	−0.995056	+	0.0993189i	$0.968334\pi$
$588$	−20.2977	−	19.1973i	−0.837062	−	0.791685i
$589$	−24.6279	−	14.2189i	−1.01477	−	0.585880i
$590$	13.4466	+	3.60300i	0.553587	+	0.148333i
$591$	15.6116	−	58.2633i	0.642175	−	2.39663i
$592$	−5.06903	+	18.9179i	−0.208336	+	0.777520i
$593$	−19.7983	−	5.30494i	−0.813019	−	0.217848i	−0.171727	−	0.985145i	$-0.554935\pi$
$593$	−19.7983	−	5.30494i	−0.813019	−	0.217848i	−0.641292	+	0.767297i	$0.721601\pi$
$594$	2.12649	+	1.22773i	0.0872511	+	0.0503745i
$595$	−0.318720	−	0.740133i	−0.0130662	−	0.0303425i
$596$	0.145004	−	0.541161i	0.00593958	−	0.0221668i
$597$	46.3195	−	26.7426i	1.89573	−	1.09450i
$598$	−1.08271	+	3.03489i	−0.0442753	+	0.124106i
$599$	19.5672	−	33.8914i	0.799494	−	1.38476i	−0.120452	−	0.992719i	$-0.538434\pi$
$599$	19.5672	−	33.8914i	0.799494	−	1.38476i	0.919946	−	0.392045i	$-0.128232\pi$
$600$	14.1788	−	3.79920i	0.578848	−	0.155102i
$601$	29.2750	−	16.9020i	1.19415	−	0.689445i	0.234908	−	0.972018i	$-0.424521\pi$
$601$	29.2750	−	16.9020i	1.19415	−	0.689445i	0.959246	+	0.282573i	$0.0911878\pi$
$602$	−46.5516	−	5.47026i	−1.89730	−	0.222951i
$603$	5.55843	−	5.55843i	0.226357	−	0.226357i
$604$	3.26130	−	3.26130i	0.132701	−	0.132701i
$605$	−11.8118	−	3.16496i	−0.480217	−	0.128674i
$606$	9.09545	−	2.43712i	0.369478	−	0.0990012i
$607$			28.9227i			1.17394i	0.809610	+	0.586968i	$0.199678\pi$
$607$			28.9227i			1.17394i	−0.809610	+	0.586968i	$0.800322\pi$
$608$	−12.6548	−	21.9187i	−0.513218	−	0.888920i
$609$	−46.5360	−	58.9291i	−1.88573	−	2.38793i
$610$		−	15.7506i		−	0.637725i
$611$	19.8997	+	7.09928i	0.805055	+	0.287206i
$612$	−1.97887	−	1.14250i	−0.0799910	−	0.0461829i
$613$	−12.9884	+	12.9884i	−0.524598	+	0.524598i	−0.918957	−	0.394359i	$-0.870967\pi$
$613$	−12.9884	+	12.9884i	−0.524598	+	0.524598i	0.394359	+	0.918957i	$0.370967\pi$
$614$	15.5362	+	8.96983i	0.626990	+	0.361993i
$615$	−15.2859	+	26.4759i	−0.616387	+	1.06761i
$616$	0.427969	−	0.0624182i	0.0172434	−	0.00251490i
$617$	−3.13670	−	11.7063i	−0.126279	−	0.471279i	0.873603	−	0.486639i	$-0.161777\pi$
$617$	−3.13670	−	11.7063i	−0.126279	−	0.471279i	−0.999882	+	0.0153601i	$0.995111\pi$
$618$	34.5812	+	34.5812i	1.39106	+	1.39106i
$619$	6.26859	+	23.3947i	0.251956	+	0.940312i	0.969759	+	0.244065i	$0.0784811\pi$
$619$	6.26859	+	23.3947i	0.251956	+	0.940312i	−0.717803	+	0.696246i	$0.754852\pi$
$620$	−5.18509	−	8.98083i	−0.208238	−	0.360679i
$621$	2.58617	−	4.47937i	0.103779	−	0.179751i
$622$	−46.4247	−	12.4395i	−1.86146	−	0.498777i
$623$	10.2901	−	4.43118i	0.412265	−	0.177532i
$624$	−44.7176	−	30.8878i	−1.79014	−	1.23650i
$625$	3.97162	+	6.87905i	0.158865	+	0.275162i
$626$	15.1842	+	15.1842i	0.606884	+	0.606884i
$627$	−1.56658			−0.0625630
$628$	−4.87757			−0.194636
$629$	−0.771620	−	0.771620i	−0.0307665	−	0.0307665i
$630$	−4.96164	−	34.0194i	−0.197676	−	1.35536i
$631$	−7.36652	+	1.97385i	−0.293256	+	0.0785778i	−0.402448	−	0.915443i	$-0.631841\pi$
$631$	−7.36652	+	1.97385i	−0.293256	+	0.0785778i	0.109191	+	0.994021i	$0.465174\pi$
$632$	3.76966	−	14.0686i	0.149949	−	0.559618i
$633$	40.9308	−	23.6314i	1.62685	−	0.939265i
$634$		−	6.63565i		−	0.263535i
$635$	0.503451	+	1.87891i	0.0199789	+	0.0745621i
$636$	3.73129			0.147955
$637$	24.6908	−	5.23101i	0.978286	−	0.207260i
$638$	−2.15904			−0.0854772
$639$	5.10087	+	19.0367i	0.201787	+	0.753081i
$640$			10.6316i			0.420251i
$641$	22.9611	−	13.2566i	0.906908	−	0.523603i	0.0274727	−	0.999623i	$-0.491254\pi$
$641$	22.9611	−	13.2566i	0.906908	−	0.523603i	0.879435	+	0.476019i	$0.157921\pi$
$642$	3.89414	−	14.5331i	0.153689	−	0.573577i
$643$	−11.1885	+	2.99795i	−0.441231	+	0.118228i	−0.472593	−	0.881281i	$-0.656682\pi$
$643$	−11.1885	+	2.99795i	−0.441231	+	0.118228i	0.0313623	+	0.999508i	$0.490015\pi$
$644$	0.244212	+	1.67443i	0.00962328	+	0.0659818i
$645$	−23.5697	−	23.5697i	−0.928057	−	0.928057i
$646$	1.97258			0.0776101
$647$	38.5934			1.51726			0.758631	−	0.651521i	$-0.225869\pi$
$647$	38.5934			1.51726			0.758631	+	0.651521i	$0.225869\pi$
$648$	11.6910	+	11.6910i	0.459264	+	0.459264i
$649$	−0.442443	−	0.766333i	−0.0173674	−	0.0300812i
$650$	8.27611	−	23.1984i	0.324616	−	0.909916i
$651$	−53.4484	+	23.0163i	−2.09481	+	0.902078i
$652$	−8.45516	−	2.26555i	−0.331129	−	0.0887259i
$653$	−13.0162	+	22.5446i	−0.509361	+	0.882240i	0.490580	+	0.871396i	$0.336785\pi$
$653$	−13.0162	+	22.5446i	−0.509361	+	0.882240i	−0.999941	+	0.0108435i	$0.996548\pi$
$654$	25.9138	+	44.8840i	1.01331	+	1.75510i
$655$	1.71340	+	6.39449i	0.0669480	+	0.249853i
$656$	31.0540	+	31.0540i	1.21246	+	1.21246i
$657$	−0.204517	−	0.763269i	−0.00797898	−	0.0297780i
$658$	27.8694	−	4.06469i	1.08646	−	0.158458i
$659$	24.8221	−	42.9932i	0.966933	−	1.67478i	0.262605	−	0.964903i	$-0.415418\pi$
$659$	24.8221	−	42.9932i	0.966933	−	1.67478i	0.704328	−	0.709874i	$-0.251248\pi$
$660$	−0.494734	−	0.285635i	−0.0192575	−	0.0111183i
$661$	−8.57180	+	8.57180i	−0.333404	+	0.333404i	−0.853878	−	0.520474i	$-0.825755\pi$
$661$	−8.57180	+	8.57180i	−0.333404	+	0.333404i	0.520474	+	0.853878i	$0.325755\pi$
$662$	13.5501	+	7.82313i	0.526638	+	0.304055i
$663$	2.73619	−	1.29725i	0.106265	−	0.0503808i
$664$			14.5116i			0.563161i
$665$	7.24608	+	9.17581i	0.280991	+	0.355823i
$666$	−23.2775	−	40.3178i	−0.901984	−	1.56228i
$667$			4.54793i			0.176097i
$668$	−14.7638	+	3.95594i	−0.571227	+	0.153060i
$669$	41.1496	+	11.0260i	1.59094	+	0.426290i
$670$	−1.74981	+	1.74981i	−0.0676009	+	0.0676009i
$671$	−0.707950	+	0.707950i	−0.0273301	+	0.0273301i
$672$	−51.4380	−	6.04445i	−1.98426	−	0.233170i
$673$	34.6870	−	20.0265i	1.33708	−	0.771966i	0.350710	−	0.936484i	$-0.385940\pi$
$673$	34.6870	−	20.0265i	1.33708	−	0.771966i	0.986374	+	0.164519i	$0.0526070\pi$
$674$	46.2236	−	12.3856i	1.78047	−	0.477075i
$675$	−19.7684	+	34.2398i	−0.760885	+	1.31789i
$676$	−15.8064	+	5.98281i	−0.607938	+	0.230108i
$677$	33.3532	−	19.2565i	1.28187	−	0.740086i	0.304678	−	0.952455i	$-0.401451\pi$
$677$	33.3532	−	19.2565i	1.28187	−	0.740086i	0.977190	+	0.212369i	$0.0681179\pi$
$678$	−5.00780	+	18.6894i	−0.192323	+	0.717760i
$679$	−2.59307	−	6.02164i	−0.0995129	−	0.231089i
$680$	−0.335392	−	0.193639i	−0.0128617	−	0.00742570i
$681$	−35.4215	−	9.49116i	−1.35735	−	0.363702i
$682$	−0.433072	+	1.61625i	−0.0165832	+	0.0618892i
$683$	−9.87146	+	36.8408i	−0.377721	+	1.40967i	0.471607	+	0.881809i	$0.343674\pi$
$683$	−9.87146	+	36.8408i	−0.377721	+	1.40967i	−0.849328	+	0.527865i	$0.822993\pi$
$684$	32.0234	+	8.58064i	1.22445	+	0.328089i
$685$	18.9389	+	10.9344i	0.723617	+	0.417780i
$686$	25.8129	−	21.5782i	0.985539	−	0.823858i
$687$	−19.5220	+	72.8571i	−0.744810	+	2.77967i
$688$	−41.4679	+	23.9415i	−1.58095	+	0.912761i
$689$	−1.91573	+	2.77349i	−0.0729836	+	0.105661i
$690$	−1.52729	+	2.64535i	−0.0581431	+	0.100707i
$691$	5.69382	−	1.52565i	0.216603	−	0.0580386i	−0.148886	−	0.988854i	$-0.547569\pi$
$691$	5.69382	−	1.52565i	0.216603	−	0.0580386i	0.365489	+	0.930816i	$0.380902\pi$
$692$	18.1725	−	10.4919i	0.690816	−	0.398843i
$693$	−1.30607	+	1.75209i	−0.0496134	+	0.0665565i
$694$	6.71396	−	6.71396i	0.254858	−	0.254858i
$695$	−4.36835	+	4.36835i	−0.165701	+	0.165701i
$696$	−34.8569	−	9.33987i	−1.32125	−	0.354027i
$697$	−2.36356	+	0.633314i	−0.0895262	+	0.0239885i
$698$			21.0770i			0.797776i
$699$	27.2814	+	47.2528i	1.03188	+	1.78727i
$700$	−1.86673	−	12.7992i	−0.0705556	−	0.483763i
$701$			39.7256i			1.50041i	0.661203	+	0.750207i	$0.270046\pi$
$701$			39.7256i			1.50041i	−0.661203	+	0.750207i	$0.729954\pi$
$702$	67.7403	−	12.3911i	2.55669	−	0.467671i
$703$	13.7115	+	7.91636i	0.517140	+	0.298571i
$704$	−0.160319	+	0.160319i	−0.00604226	+	0.00604226i
$705$	17.3455	+	10.0144i	0.653268	+	0.377164i
$706$	−7.84109	+	13.5812i	−0.295103	+	0.511134i
$707$	0.644707	+	4.42042i	0.0242467	+	0.166247i
$708$	7.11000	+	26.5349i	0.267210	+	0.997241i
$709$	0.300391	+	0.300391i	0.0112814	+	0.0112814i	0.712725	−	0.701444i	$-0.247461\pi$
$709$	0.300391	+	0.300391i	0.0112814	+	0.0112814i	−0.701444	+	0.712725i	$0.747461\pi$
$710$	−1.60577	−	5.99280i	−0.0602633	−	0.224906i
$711$	36.7967	+	63.7338i	1.37999	+	2.39020i
$712$	2.69217	−	4.66298i	0.100893	−	0.174752i
$713$	3.40455	+	0.912248i	0.127502	+	0.0341639i
$714$	2.41247	−	3.23634i	0.0902845	−	0.121117i
$715$	0.466323	−	0.221087i	0.0174395	−	0.00826818i
$716$	5.97753	+	10.3534i	0.223391	+	0.386924i
$717$	−52.3676	−	52.3676i	−1.95570	−	1.95570i
$718$	−56.4037			−2.10497
$719$	−5.50107			−0.205155			−0.102578	−	0.994725i	$-0.532709\pi$
$719$	−5.50107			−0.205155			−0.102578	+	0.994725i	$0.532709\pi$
$720$	−24.8342	−	24.8342i	−0.925516	−	0.925516i
$721$	−18.2082	+	14.3789i	−0.678109	+	0.535498i
$722$	5.69451	−	1.52584i	0.211928	−	0.0567859i
$723$	8.24432	−	30.7682i	0.306610	−	1.14428i
$724$	16.4933	−	9.52242i	0.612969	−	0.353898i
$725$		−	34.7639i		−	1.29110i
$726$	−15.8537	−	59.1669i	−0.588387	−	2.19589i
$727$	−10.8373			−0.401935			−0.200967	−	0.979598i	$-0.564409\pi$
$727$	−10.8373			−0.401935			−0.200967	+	0.979598i	$0.564409\pi$
$728$	8.01123	−	9.10741i	0.296916	−	0.337543i
$729$	13.2908			0.492253
$730$	0.0643825	+	0.240279i	0.00238290	+	0.00889312i
$731$		−	2.66791i		−	0.0986762i
$732$	26.9175	−	15.5408i	0.994898	−	0.574405i
$733$	7.78294	−	29.0463i	0.287469	−	1.07285i	−0.659547	−	0.751664i	$-0.729252\pi$
$733$	7.78294	−	29.0463i	0.287469	−	1.07285i	0.947016	−	0.321187i	$-0.104082\pi$
$734$	4.59604	−	1.23150i	0.169643	−	0.0454557i
$735$	23.9164	−	0.666325i	0.882170	−	0.0245778i
$736$	2.21814	+	2.21814i	0.0817617	+	0.0817617i
$737$	0.157298			0.00579416
$738$	−104.393			−3.84275
$739$	32.1610	+	32.1610i	1.18306	+	1.18306i	0.978947	+	0.204113i	$0.0654310\pi$
$739$	32.1610	+	32.1610i	1.18306	+	1.18306i	0.204113	+	0.978947i	$0.434569\pi$
$740$	2.88679	+	5.00007i	0.106121	+	0.183806i
$741$	−33.4752	+	28.4553i	−1.22974	+	1.04533i
$742$	−0.524403	+	4.46265i	−0.0192515	+	0.163829i
$743$	−43.4013	−	11.6293i	−1.59224	−	0.426639i	−0.649552	−	0.760317i	$-0.725044\pi$
$743$	−43.4013	−	11.6293i	−1.59224	−	0.426639i	−0.942687	+	0.333678i	$0.891710\pi$
$744$	−13.9836	+	24.2202i	−0.512662	+	0.887956i
$745$	0.239895	+	0.415511i	0.00878908	+	0.0152231i
$746$	16.8492	+	62.8822i	0.616894	+	2.30228i
$747$	−51.8483	−	51.8483i	−1.89703	−	1.89703i
$748$	−0.0118342	−	0.0441659i	−0.000432702	−	0.00161486i
$749$	6.63194	+	2.63944i	0.242326	+	0.0964432i
$750$	27.1972	−	47.1069i	0.993100	−	1.72010i
$751$	−14.5396	−	8.39446i	−0.530559	−	0.306318i	0.210685	−	0.977554i	$-0.432430\pi$
$751$	−14.5396	−	8.39446i	−0.530559	−	0.306318i	−0.741244	+	0.671236i	$0.765764\pi$
$752$	20.3447	−	20.3447i	0.741897	−	0.741897i
$753$	−24.2576	−	14.0052i	−0.883997	−	0.510376i
$754$	−46.1352	+	39.2169i	−1.68014	+	1.42819i
$755$			3.94980i			0.143748i
$756$	28.3813	−	22.4125i	1.03222	−	0.815135i
$757$	7.76400	+	13.4476i	0.282187	+	0.488763i	0.971923	−	0.235298i	$-0.0756067\pi$
$757$	7.76400	+	13.4476i	0.282187	+	0.488763i	−0.689736	+	0.724061i	$0.742273\pi$
$758$		−	41.8755i		−	1.52099i
$759$	0.187549	−	0.0502537i	0.00680761	−	0.00182409i
$760$	5.42754	+	1.45431i	0.196878	+	0.0527532i
$761$	−28.3360	+	28.3360i	−1.02718	+	1.02718i	−0.0275603	+	0.999620i	$0.508774\pi$
$761$	−28.3360	+	28.3360i	−1.02718	+	1.02718i	−0.999620	+	0.0275603i	$0.991226\pi$
$762$	−6.88985	+	6.88985i	−0.249593	+	0.249593i
$763$	−22.5827	+	9.72467i	−0.817547	+	0.352057i
$764$	−6.79206	+	3.92140i	−0.245728	+	0.141871i
$765$	1.89016	−	0.506467i	0.0683389	−	0.0183114i
$766$	11.8520	−	20.5283i	0.428230	−	0.741716i
$767$	−23.3740	−	8.33875i	−0.843985	−	0.301095i
$768$	−55.4978	+	32.0417i	−2.00260	+	1.15620i
$769$	12.5630	−	46.8857i	0.453033	−	1.69074i	−0.240774	−	0.970581i	$-0.577401\pi$
$769$	12.5630	−	46.8857i	0.453033	−	1.69074i	0.693807	−	0.720161i	$-0.255932\pi$
$770$	0.411153	−	0.551562i	0.0148169	−	0.0198769i
$771$	81.6636	+	47.1485i	2.94104	+	1.69801i
$772$	−0.516206	−	0.138317i	−0.0185786	−	0.00497813i
$773$	−12.1817	+	45.4628i	−0.438146	+	1.63518i	0.295278	+	0.955411i	$0.404588\pi$
$773$	−12.1817	+	45.4628i	−0.438146	+	1.63518i	−0.733424	+	0.679772i	$0.762079\pi$
$774$	29.4588	−	109.942i	1.05887	−	3.95177i
$775$	−26.0240	−	6.97312i	−0.934811	−	0.250482i
$776$	−2.72871	−	1.57542i	−0.0979551	−	0.0565544i
$777$	29.7573	−	12.8143i	1.06754	−	0.459709i
$778$	11.6691	−	43.5498i	0.418359	−	1.56134i
$779$	30.7461	−	17.7513i	1.10159	−	0.636006i
$780$	−15.7599	+	2.88281i	−0.564296	+	0.103221i
$781$	−0.197185	+	0.341535i	−0.00705585	+	0.0122211i
$782$	−0.236156	+	0.0632777i	−0.00844491	+	0.00226281i
$783$	84.1744	−	48.5981i	3.00815	−	1.73675i
$784$	7.96752	−	33.4335i	0.284554	−	1.19405i
$785$	2.95364	−	2.95364i	0.105420	−	0.105420i
$786$	−23.4483	+	23.4483i	−0.836372	+	0.836372i
$787$	26.8138	+	7.18474i	0.955810	+	0.256108i	0.702826	−	0.711362i	$-0.251921\pi$
$787$	26.8138	+	7.18474i	0.955810	+	0.256108i	0.252984	+	0.967470i	$0.418588\pi$
$788$	−24.6731	+	6.61113i	−0.878942	+	0.235512i
$789$		−	17.0285i		−	0.606229i
$790$	−11.5837	−	20.0635i	−0.412129	−	0.713829i
$791$	−8.52856	−	3.39428i	−0.303241	−	0.120687i
$792$			1.05024i			0.0373187i
$793$	−2.26851	+	27.9869i	−0.0805571	+	0.993845i
$794$	15.2196	+	8.78706i	0.540125	+	0.311841i
$795$	−2.25950	+	2.25950i	−0.0801362	+	0.0801362i
$796$	−19.6152	−	11.3248i	−0.695243	−	0.401399i
$797$	12.9913	−	22.5016i	0.460177	−	0.797049i	−0.538793	−	0.842438i	$-0.681119\pi$
$797$	12.9913	−	22.5016i	0.460177	−	0.797049i	0.998969	+	0.0453891i	$0.0144528\pi$
$798$	−21.6568	+	54.4153i	−0.766641	+	1.92628i
$799$	0.414909	+	1.54846i	0.0146784	+	0.0547807i
$800$	−16.9552	−	16.9552i	−0.599457	−	0.599457i
$801$	7.04145	+	26.2790i	0.248797	+	0.928524i
$802$	6.36134	+	11.0182i	0.224627	+	0.389065i
$803$	0.00790607	−	0.0136937i	0.000278999	−	0.000483241i
$804$	−4.71687	−	1.26388i	−0.166351	−	0.0445737i
$805$	−1.16184	−	0.866077i	−0.0409496	−	0.0305252i
$806$	20.1035	+	42.4028i	0.708115	+	1.49358i
$807$	−8.36698	−	14.4920i	−0.294532	−	0.510144i
$808$	1.51807	+	1.51807i	0.0534056	+	0.0534056i
$809$	−30.0960			−1.05812			−0.529060	−	0.848584i	$-0.677455\pi$
$809$	−30.0960			−1.05812			−0.529060	+	0.848584i	$0.677455\pi$
$810$	26.2988			0.924046
$811$	25.5228	+	25.5228i	0.896227	+	0.896227i	0.995100	−	0.0988731i	$-0.0315238\pi$
$811$	25.5228	+	25.5228i	0.896227	+	0.896227i	−0.0988731	+	0.995100i	$0.531524\pi$
$812$	−11.7583	+	29.5442i	−0.412635	+	1.03680i
$813$	31.7137	−	8.49766i	1.11225	−	0.298026i
$814$	0.241112	−	0.899842i	0.00845097	−	0.0315395i
$815$	6.49198	−	3.74815i	0.227404	−	0.131292i
$816$		−	4.12364i		−	0.144356i
$817$	10.0185	+	37.3897i	0.350504	+	1.30810i
$818$	−27.6194			−0.965691
$819$	3.91653	+	61.1628i	0.136855	+	2.13720i
$820$	12.9464			0.452108
$821$	−12.5021	−	46.6583i	−0.436325	−	1.62839i	−0.737876	−	0.674936i	$-0.764171\pi$
$821$	−12.5021	−	46.6583i	−0.436325	−	1.62839i	0.301552	−	0.953450i	$-0.402495\pi$
$822$			109.544i			3.82077i
$823$	−18.6307	+	10.7564i	−0.649424	+	0.374945i	−0.788235	−	0.615374i	$-0.789005\pi$
$823$	−18.6307	+	10.7564i	−0.649424	+	0.374945i	0.138812	+	0.990319i	$0.455672\pi$
$824$	−2.88588	+	10.7702i	−0.100534	+	0.375199i
$825$	−1.43361	+	0.384134i	−0.0499118	+	0.0133738i
$826$	−32.7352	+	4.77434i	−1.13900	+	0.166121i
$827$	−19.3309	−	19.3309i	−0.672200	−	0.672200i	0.286023	−	0.958223i	$-0.407667\pi$
$827$	−19.3309	−	19.3309i	−0.672200	−	0.672200i	−0.958223	+	0.286023i	$0.907667\pi$
$828$	−4.10907			−0.142800
$829$	−1.60123			−0.0556130			−0.0278065	−	0.999613i	$-0.508852\pi$
$829$	−1.60123			−0.0556130			−0.0278065	+	0.999613i	$0.508852\pi$
$830$	16.3220	+	16.3220i	0.566543	+	0.566543i
$831$	−37.6856	−	65.2733i	−1.30730	−	2.26431i
$832$	−0.513717	+	6.33780i	−0.0178099	+	0.219724i
$833$	1.39129	+	1.31586i	0.0482053	+	0.0455920i
$834$	−29.8910	−	8.00926i	−1.03504	−	0.277338i
$835$	6.54473	−	11.3358i	0.226490	−	0.392292i
$836$	0.331704	+	0.574528i	0.0114722	+	0.0198705i
$837$	−19.4961	−	72.7605i	−0.673885	−	2.51497i
$838$	−31.8061	−	31.8061i	−1.09872	−	1.09872i
$839$	0.167923	+	0.626698i	0.00579736	+	0.0216360i	0.968764	−	0.247985i	$-0.0797683\pi$
$839$	0.167923	+	0.626698i	0.00579736	+	0.0216360i	−0.962967	+	0.269621i	$0.913102\pi$
$840$	9.02393	−	7.12614i	0.311355	−	0.245875i
$841$	−28.2313	+	48.8981i	−0.973495	+	1.68614i
$842$	−9.14596	−	5.28042i	−0.315191	−	0.181975i
$843$	26.6147	−	26.6147i	0.916660	−	0.916660i
$844$	−17.3332	−	10.0073i	−0.596634	−	0.344467i
$845$	5.94872	−	13.1946i	0.204642	−	0.453907i
$846$			68.3919i			2.35136i
$847$	28.7553	−	4.19389i	0.988044	−	0.144104i
$848$	2.29514	+	3.97530i	0.0788154	+	0.136512i
$849$		−	8.70463i		−	0.298742i
$850$	1.80515	−	0.483688i	0.0619161	−	0.0165904i
$851$	−1.89548	−	0.507893i	−0.0649762	−	0.0174103i
$852$	8.65717	−	8.65717i	0.296590	−	0.296590i
$853$	19.5375	−	19.5375i	0.668953	−	0.668953i	−0.288521	−	0.957474i	$-0.593163\pi$
$853$	19.5375	−	19.5375i	0.668953	−	0.668953i	0.957474	+	0.288521i	$0.0931635\pi$
$854$	14.8039	+	34.3776i	0.506579	+	1.17638i
$855$	−24.5880	+	14.1959i	−0.840891	+	0.485489i
$856$	3.31349	−	0.887847i	0.113253	−	0.0303460i
$857$	−16.1513	+	27.9748i	−0.551717	+	0.955602i	0.446434	+	0.894817i	$0.352694\pi$
$857$	−16.1513	+	27.9748i	−0.551717	+	0.955602i	−0.998151	+	0.0607851i	$0.980640\pi$
$858$	2.12702	+	1.46920i	0.0726154	+	0.0501577i
$859$	25.7564	−	14.8704i	0.878796	−	0.507373i	0.00853452	−	0.999964i	$-0.497283\pi$
$859$	25.7564	−	14.8704i	0.878796	−	0.507373i	0.870261	+	0.492591i	$0.163950\pi$
$860$	−3.65337	+	13.6346i	−0.124579	+	0.464935i
$861$	8.47877	−	72.1539i	0.288956	−	2.45900i
$862$	−30.4140	−	17.5595i	−1.03590	−	0.598079i
$863$	−30.6982	−	8.22555i	−1.04498	−	0.280001i	−0.304803	−	0.952415i	$-0.598591\pi$
$863$	−30.6982	−	8.22555i	−1.04498	−	0.280001i	−0.740175	+	0.672414i	$0.765257\pi$
$864$	17.3514	−	64.7565i	0.590308	−	2.20306i
$865$	−4.65103	+	17.3579i	−0.158140	+	0.590186i
$866$	−3.88281	−	1.04040i	−0.131943	−	0.0353541i
$867$	−44.9985	−	25.9799i	−1.52823	−	0.882323i
$868$	19.7581	+	14.7283i	0.670632	+	0.499912i
$869$	−0.381147	+	1.42246i	−0.0129295	+	0.0482536i
$870$	−49.7103	+	28.7002i	−1.68534	+	0.973029i
$871$	3.36121	−	2.85717i	0.113890	−	0.0968115i
$872$	−5.90823	+	10.2334i	−0.200078	+	0.346545i
$873$	15.3781	−	4.12056i	0.520471	−	0.139460i
$874$	3.07201	−	1.77363i	0.103912	−	0.0599938i
$875$	20.6894	+	15.4226i	0.699430	+	0.521379i
$876$	−0.347106	+	0.347106i	−0.0117276	+	0.0117276i
$877$	11.5269	−	11.5269i	0.389236	−	0.389236i	−0.485179	−	0.874415i	$-0.661246\pi$
$877$	11.5269	−	11.5269i	0.389236	−	0.389236i	0.874415	+	0.485179i	$0.161246\pi$
$878$	12.8843	+	3.45233i	0.434823	+	0.116510i
$879$	−58.5847	+	15.6977i	−1.97601	+	0.529471i
$880$		−	0.702784i		−	0.0236908i
$881$	24.6284	+	42.6577i	0.829752	+	1.43717i	0.898232	+	0.439521i	$0.144852\pi$
$881$	24.6284	+	42.6577i	0.829752	+	1.43717i	−0.0684801	+	0.997652i	$0.521815\pi$
$882$	42.8038	+	69.5879i	1.44128	+	2.34315i
$883$		−	40.1403i		−	1.35083i	−0.737439	−	0.675414i	$-0.763965\pi$
$883$		−	40.1403i		−	1.35083i	0.737439	−	0.675414i	$-0.236035\pi$
$884$	−1.05511	−	0.728796i	−0.0354871	−	0.0245120i
$885$	−20.3738	−	11.7628i	−0.684858	−	0.395403i
$886$	34.1497	−	34.1497i	1.14728	−	1.14728i
$887$	38.3787	+	22.1580i	1.28863	+	0.743992i	0.978410	−	0.206673i	$-0.0662635\pi$
$887$	38.3787	+	22.1580i	1.28863	+	0.743992i	0.310221	+	0.950664i	$0.399597\pi$
$888$	7.78532	−	13.4846i	0.261258	−	0.452513i
$889$	−2.86481	−	3.62774i	−0.0960826	−	0.121671i
$890$	−2.21666	−	8.27270i	−0.0743027	−	0.277301i
$891$	−1.18206	−	1.18206i	−0.0396005	−	0.0396005i
$892$	−4.66925	−	17.4259i	−0.156338	−	0.583462i
$893$	−11.6296	−	20.1430i	−0.389169	−	0.674061i
$894$	−1.20167	+	2.08135i	−0.0401898	+	0.0696108i
$895$	−9.88927	−	2.64982i	−0.330562	−	0.0885738i
$896$	−9.99254	−	23.2047i	−0.333827	−	0.775215i
$897$	3.09481	−	4.48049i	0.103333	−	0.149599i
$898$	−20.3132	−	35.1836i	−0.677862	−	1.17409i
$899$	46.8343	+	46.8343i	1.56201	+	1.56201i
$900$	31.4093			1.04698
$901$	−0.255758			−0.00852053
$902$	−1.47711	−	1.47711i	−0.0491823	−	0.0491823i
$903$	73.5966	+	29.2907i	2.44914	+	0.974734i
$904$	−4.26109	+	1.14176i	−0.141722	+	0.0379742i
$905$	−4.22126	+	15.7540i	−0.140319	+	0.523679i
$906$	−17.1344	+	9.89255i	−0.569253	+	0.328658i
$907$		−	54.1580i		−	1.79829i	−0.437654	−	0.899143i	$-0.644191\pi$
$907$		−	54.1580i		−	1.79829i	0.437654	−	0.899143i	$-0.355809\pi$
$908$	4.01928	+	15.0001i	0.133384	+	0.497797i
$909$	−10.8478			−0.359798
$910$	−1.23293	−	19.2542i	−0.0408713	−	0.638270i
$911$	5.80658			0.192381			0.0961903	−	0.995363i	$-0.469334\pi$
$911$	5.80658			0.192381			0.0961903	+	0.995363i	$0.469334\pi$
$912$	15.4851	+	57.7912i	0.512763	+	1.91366i
$913$		−	1.46726i		−	0.0485591i
$914$	−3.55793	+	2.05417i	−0.117686	+	0.0679460i
$915$	−6.88919	+	25.7108i	−0.227750	+	0.849973i
$916$	30.8532	−	8.26709i	1.01942	−	0.273152i
$917$	−9.74981	−	12.3463i	−0.321967	−	0.407711i
$918$	3.69467	+	3.69467i	0.121942	+	0.121942i
$919$	−18.8392			−0.621447			−0.310724	−	0.950500i	$-0.600571\pi$
$919$	−18.8392			−0.621447			−0.310724	+	0.950500i	$0.600571\pi$
$920$	−0.696433			−0.0229607
$921$	−21.4374	−	21.4374i	−0.706387	−	0.706387i
$922$	3.39063	+	5.87275i	0.111665	+	0.193409i
$923$	1.99012	+	10.8797i	0.0655057	+	0.358111i
$924$	1.34828	+	0.158436i	0.0443552	+	0.00521215i
$925$	14.4888	+	3.88227i	0.476390	+	0.127648i
$926$	19.9632	−	34.5774i	0.656033	−	1.13628i
$927$	−28.1699	−	48.7916i	−0.925220	−	1.60253i
$928$	15.2568	+	56.9391i	0.500828	+	1.86912i
$929$	21.3734	+	21.3734i	0.701239	+	0.701239i	0.964677	−	0.263437i	$-0.0848562\pi$
$929$	21.3734	+	21.3734i	0.701239	+	0.701239i	−0.263437	+	0.964677i	$0.584856\pi$
$930$	11.5137	+	42.9697i	0.377549	+	1.40903i
$931$	−24.4397	−	13.2168i	−0.800979	−	0.433162i
$932$	11.5530	−	20.0104i	0.378432	−	0.655464i
$933$	70.3411	+	40.6115i	2.30287	+	1.32956i
$934$	−7.02777	+	7.02777i	−0.229956	+	0.229956i
$935$	0.0339111	+	0.0195786i	0.00110901	+	0.000640289i
$936$	19.0766	+	22.4419i	0.623538	+	0.733537i
$937$			29.0475i			0.948939i	0.880272	+	0.474470i	$0.157360\pi$
$937$			29.0475i			0.948939i	−0.880272	+	0.474470i	$0.842640\pi$
$938$	2.17453	−	5.46379i	0.0710010	−	0.178399i
$939$	−18.1448	−	31.4277i	−0.592132	−	1.02560i
$940$		−	8.48172i		−	0.276643i
$941$	51.2078	−	13.7211i	1.66933	−	0.447295i	0.704398	−	0.709805i	$-0.251217\pi$
$941$	51.2078	−	13.7211i	1.66933	−	0.447295i	0.964929	+	0.262510i	$0.0845503\pi$
$942$	20.2106	+	5.41542i	0.658498	+	0.176444i
$943$	−3.11147	+	3.11147i	−0.101323	+	0.101323i
$944$	−23.8967	+	23.8967i	−0.777773	+	0.777773i
$945$	−3.61441	+	30.7584i	−0.117577	+	1.00057i
$946$	1.97245	−	1.13879i	0.0641299	−	0.0370254i
$947$	−37.6168	+	10.0794i	−1.22238	+	0.327536i	−0.811609	−	0.584201i	$-0.801408\pi$
$947$	−37.6168	+	10.0794i	−1.22238	+	0.327536i	−0.410774	+	0.911737i	$0.634741\pi$
$948$	22.8587	−	39.5925i	0.742417	−	1.28590i
$949$	−0.0797932	−	0.436218i	−0.00259020	−	0.0141602i
$950$	−23.4821	+	13.5574i	−0.761860	+	0.439860i
$951$	−2.90237	+	10.8318i	−0.0941160	+	0.351246i
$952$	0.914032	+	0.107407i	0.0296239	+	0.00348109i
$953$	−2.01127	−	1.16121i	−0.0651515	−	0.0376153i	0.467070	−	0.884220i	$-0.345309\pi$
$953$	−2.01127	−	1.16121i	−0.0651515	−	0.0376153i	−0.532222	+	0.846605i	$0.678643\pi$
$954$	−10.5395	−	2.82405i	−0.341229	−	0.0914321i
$955$	1.73834	−	6.48759i	0.0562515	−	0.209933i
$956$	−8.11713	+	30.2935i	−0.262527	+	0.979763i
$957$	3.52434	+	0.944345i	0.113926	+	0.0305263i
$958$	−2.49461	−	1.44027i	−0.0805973	−	0.0465329i
$959$	−51.6134	−	6.06506i	−1.66668	−	0.195851i
$960$	−1.56010	+	5.82236i	−0.0503519	+	0.187916i
$961$	17.6074	−	10.1656i	0.567980	−	0.327923i
$962$	−11.1926	−	23.6077i	−0.360863	−	0.761143i
$963$	−8.66653	+	15.0109i	−0.279275	+	0.483718i
$964$	−13.0296	+	3.49127i	−0.419655	+	0.112446i
$965$	0.396349	−	0.228832i	0.0127589	−	0.00736638i
$966$	0.847159	−	7.20928i	0.0272569	−	0.231955i
$967$	−20.9764	+	20.9764i	−0.674557	+	0.674557i	−0.958763	−	0.284206i	$-0.908270\pi$
$967$	−20.9764	+	20.9764i	−0.674557	+	0.674557i	0.284206	+	0.958763i	$0.408270\pi$
$968$	9.87522	−	9.87522i	0.317401	−	0.317401i
$969$	−3.21997	−	0.862788i	−0.103440	−	0.0277168i
$970$	−4.84107	+	1.29716i	−0.155438	+	0.0416494i
$971$		−	41.7496i		−	1.33981i	−0.742448	−	0.669904i	$-0.766335\pi$
$971$		−	41.7496i		−	1.33981i	0.742448	−	0.669904i	$-0.233665\pi$
$972$	5.44550	+	9.43189i	0.174665	+	0.302528i
$973$	5.42867	−	13.6402i	0.174035	−	0.437285i
$974$		−	14.3258i		−	0.459029i
$975$	−23.6564	+	34.2484i	−0.757611	+	1.09683i
$976$	33.1142	+	19.1185i	1.05996	+	0.611969i
$977$	3.42899	−	3.42899i	0.109703	−	0.109703i	−0.650124	−	0.759828i	$-0.725283\pi$
$977$	3.42899	−	3.42899i	0.109703	−	0.109703i	0.759828	+	0.650124i	$0.225283\pi$
$978$	32.5193	+	18.7750i	1.03985	+	0.600358i
$979$	−0.272203	+	0.471469i	−0.00869963	+	0.0150682i
$980$	−5.30838	−	8.63004i	−0.169570	−	0.275676i
$981$	−15.4531	−	57.6719i	−0.493381	−	1.84132i
$982$	11.0776	+	11.0776i	0.353499	+	0.353499i
$983$	−1.10131	−	4.11013i	−0.0351262	−	0.131093i	0.946136	−	0.323769i	$-0.104950\pi$
$983$	−1.10131	−	4.11013i	−0.0351262	−	0.131093i	−0.981262	+	0.192676i	$0.938283\pi$
$984$	−17.4575	−	30.2372i	−0.556523	−	0.963927i
$985$	10.9375	−	18.9443i	0.348498	−	0.603616i
$986$	−4.43773	−	1.18909i	−0.141326	−	0.0378682i
$987$	−47.2710	−	5.55479i	−1.50465	−	0.176811i
$988$	17.5237	+	6.25164i	0.557503	+	0.198891i
$989$	−2.39882	−	4.15489i	−0.0762782	−	0.132118i
$990$	1.18126	+	1.18126i	0.0375428	+	0.0375428i
$991$	−46.8913			−1.48955			−0.744776	−	0.667315i	$-0.767444\pi$
$991$	−46.8913			−1.48955			−0.744776	+	0.667315i	$0.767444\pi$
$992$	45.6845			1.45049
$993$	−18.6969	−	18.6969i	−0.593328	−	0.593328i
$994$	9.13735	+	11.5707i	0.289819	+	0.367002i
$995$	18.7359	−	5.02027i	0.593968	−	0.159153i
$996$	−11.7893	+	43.9983i	−0.373559	+	1.39414i
$997$	8.37363	−	4.83452i	0.265195	−	0.153111i	−0.361507	−	0.932369i	$-0.617738\pi$
$997$	8.37363	−	4.83452i	0.265195	−	0.153111i	0.626702	+	0.779259i	$0.284404\pi$
$998$		−	28.8078i		−	0.911893i
$999$	10.8544	+	40.5093i	0.343419	+	1.28166i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.w.a.80.6	yes	28
3.2	odd	2		819.2.gh.b.262.2		28
7.2	even	3		637.2.bb.a.509.6		28
7.3	odd	6		637.2.bd.b.587.2		28
7.4	even	3		637.2.bd.a.587.2		28
7.5	odd	6		91.2.ba.a.54.6	yes	28
7.6	odd	2		637.2.x.a.80.6		28
13.7	odd	12		91.2.ba.a.59.6	yes	28
21.5	even	6		819.2.et.b.145.2		28
39.20	even	12		819.2.et.b.514.2		28
91.20	even	12		637.2.bb.a.423.6		28
91.33	even	12	inner	91.2.w.a.33.6	✓	28
91.46	odd	12		637.2.bd.b.293.2		28
91.59	even	12		637.2.bd.a.293.2		28
91.72	odd	12		637.2.x.a.215.6		28
273.215	odd	12		819.2.gh.b.397.2		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.6	✓	28	91.33	even	12	inner
91.2.w.a.80.6	yes	28	1.1	even	1	trivial
91.2.ba.a.54.6	yes	28	7.5	odd	6
91.2.ba.a.59.6	yes	28	13.7	odd	12
637.2.x.a.80.6		28	7.6	odd	2
637.2.x.a.215.6		28	91.72	odd	12
637.2.bb.a.423.6		28	91.20	even	12
637.2.bb.a.509.6		28	7.2	even	3
637.2.bd.a.293.2		28	91.59	even	12
637.2.bd.a.587.2		28	7.4	even	3
637.2.bd.b.293.2		28	91.46	odd	12
637.2.bd.b.587.2		28	7.3	odd	6
819.2.et.b.145.2		28	21.5	even	6
819.2.et.b.514.2		28	39.20	even	12
819.2.gh.b.262.2		28	3.2	odd	2
819.2.gh.b.397.2		28	273.215	odd	12

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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.470172 + 1.75471i) q^{2} -3.06997i q^{3} +(-1.12588 + 0.650030i) q^{4} +(0.288156 - 1.07541i) q^{5} +(5.38690 - 1.44342i) q^{6} +(0.381837 + 2.61805i) q^{7} +(0.899098 + 0.899098i) q^{8} -6.42473 q^{9} +O(q^{10})\)	\(q+(0.470172 + 1.75471i) q^{2} -3.06997i q^{3} +(-1.12588 + 0.650030i) q^{4} +(0.288156 - 1.07541i) q^{5} +(5.38690 - 1.44342i) q^{6} +(0.381837 + 2.61805i) q^{7} +(0.899098 + 0.899098i) q^{8} -6.42473 q^{9} +2.02252 q^{10} +(-0.0909069 - 0.0909069i) q^{11} +(1.99557 + 3.45643i) q^{12} +(-3.59376 - 0.291296i) q^{13} +(-4.41439 + 1.90095i) q^{14} +(-3.30149 - 0.884632i) q^{15} +(-2.45498 + 4.25215i) q^{16} +(-0.136785 - 0.236918i) q^{17} +(-3.02073 - 11.2735i) q^{18} +(2.80666 + 2.80666i) q^{19} +(0.374620 + 1.39810i) q^{20} +(8.03735 - 1.17223i) q^{21} +(0.116773 - 0.202257i) q^{22} +(-0.426046 - 0.245978i) q^{23} +(2.76021 - 2.76021i) q^{24} +(3.25665 + 1.88023i) q^{25} +(-1.17855 - 6.44296i) q^{26} +10.5138i q^{27} +(-2.13172 - 2.69942i) q^{28} +(-4.62230 - 8.00606i) q^{29} -6.20908i q^{30} +(-6.92046 + 1.85433i) q^{31} +(-6.15917 - 1.65034i) q^{32} +(-0.279082 + 0.279082i) q^{33} +(0.351410 - 0.351410i) q^{34} +(2.92552 + 0.343776i) q^{35} +(7.23351 - 4.17627i) q^{36} +(3.85295 - 1.03240i) q^{37} +(-3.60526 + 6.24449i) q^{38} +(-0.894272 + 11.0328i) q^{39} +(1.22598 - 0.707822i) q^{40} +(2.31500 - 8.63969i) q^{41} +(5.83586 + 13.5520i) q^{42} +(8.44566 + 4.87610i) q^{43} +(0.161443 + 0.0432585i) q^{44} +(-1.85133 + 6.90925i) q^{45} +(0.231304 - 0.863237i) q^{46} +(-5.66021 - 1.51665i) q^{47} +(13.0540 + 7.53673i) q^{48} +(-6.70840 + 1.99934i) q^{49} +(-1.76806 + 6.59849i) q^{50} +(-0.727333 + 0.419926i) q^{51} +(4.23552 - 2.00809i) q^{52} +(0.467445 - 0.809639i) q^{53} +(-18.4487 + 4.94331i) q^{54} +(-0.123958 + 0.0715671i) q^{55} +(-2.01058 + 2.69719i) q^{56} +(8.61638 - 8.61638i) q^{57} +(11.8750 - 11.8750i) q^{58} +(6.64843 + 1.78144i) q^{59} +(4.29214 - 1.15007i) q^{60} -7.78764i q^{61} +(-6.50761 - 11.2715i) q^{62} +(-2.45320 - 16.8203i) q^{63} -1.76356i q^{64} +(-1.34883 + 3.78085i) q^{65} +(-0.620923 - 0.358490i) q^{66} +(-0.865162 + 0.865162i) q^{67} +(0.308008 + 0.177829i) q^{68} +(-0.755145 + 1.30795i) q^{69} +(0.772272 + 5.29506i) q^{70} +(-0.793943 - 2.96304i) q^{71} +(-5.77646 - 5.77646i) q^{72} +(0.0318328 + 0.118802i) q^{73} +(3.62311 + 6.27540i) q^{74} +(5.77224 - 9.99781i) q^{75} +(-4.98439 - 1.33556i) q^{76} +(0.203287 - 0.272711i) q^{77} +(-19.7797 + 3.61811i) q^{78} +(-5.72736 - 9.92007i) q^{79} +(3.86541 + 3.86541i) q^{80} +13.0030 q^{81} +16.2486 q^{82} +(8.07011 + 8.07011i) q^{83} +(-8.28715 + 6.54431i) q^{84} +(-0.294201 + 0.0788309i) q^{85} +(-4.58522 + 17.1123i) q^{86} +(-24.5784 + 14.1903i) q^{87} -0.163468i q^{88} +(-1.09599 - 4.09029i) q^{89} -12.9941 q^{90} +(-0.609601 - 9.51989i) q^{91} +0.639571 q^{92} +(5.69274 + 21.2456i) q^{93} -10.6451i q^{94} +(3.82708 - 2.20957i) q^{95} +(-5.06651 + 18.9085i) q^{96} +(-2.39359 + 0.641359i) q^{97} +(-6.66236 - 10.8312i) q^{98} +(0.584052 + 0.584052i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9	\( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^4 - 6 * q^5 + 12 * q^6 + 2 * q^7 - 4 * q^8 - 12 * q^9 - 12 * q^10 + 2 * q^11 + 8 * q^12 - 20 * q^14 + 10 * q^15 - 2 * q^16 - 6 * q^17 - 4 * q^18 - 8 * q^19 - 36 * q^20 - 2 * q^21 - 8 * q^22 - 6 * q^23 + 12 * q^24 + 24 * q^26 - 18 * q^28 - 8 * q^29 - 38 * q^31 - 20 * q^32 + 18 * q^33 + 12 * q^34 - 2 * q^35 + 54 * q^36 - 16 * q^37 + 28 * q^39 + 48 * q^40 + 18 * q^41 - 4 * q^42 + 48 * q^43 - 6 * q^44 + 12 * q^45 + 18 * q^46 - 42 * q^47 + 12 * q^48 + 8 * q^49 + 10 * q^50 + 12 * q^51 - 28 * q^52 + 12 * q^53 - 30 * q^54 - 6 * q^55 - 24 * q^56 + 12 * q^57 + 62 * q^58 - 6 * q^59 + 16 * q^60 - 36 * q^62 - 38 * q^63 - 2 * q^65 + 66 * q^66 - 4 * q^67 + 30 * q^68 + 42 * q^69 + 68 * q^70 - 42 * q^71 - 38 * q^72 + 14 * q^73 - 6 * q^74 - 20 * q^75 + 52 * q^76 - 62 * q^78 + 4 * q^79 + 12 * q^80 + 12 * q^81 - 108 * q^82 - 66 * q^83 - 56 * q^84 - 54 * q^85 - 30 * q^86 + 42 * q^87 - 30 * q^89 - 72 * q^90 - 42 * q^91 - 156 * q^92 + 14 * q^93 - 6 * q^95 + 18 * q^96 + 62 * q^97 + 112 * q^98 - 36 * q^99

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