LMFDB - Embedded newform 91.2.w.a.33.6

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			33.6
Character	$\chi$	$=$	91.33
Dual form			91.2.w.a.80.6

$q$-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 $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{5}{6}\right)$

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	−0.574132	−	0.818762i	$-0.694661\pi$
$2$	0.470172	−	1.75471i	0.332462	−	1.24077i	0.906594	−	0.422003i	$-0.138673\pi$
$3$			3.06997i			1.77245i	0.463255	+	0.886225i	$0.346681\pi$
$3$			3.06997i			1.77245i	−0.463255	+	0.886225i	$0.653319\pi$
$4$	−1.12588	−	0.650030i	−0.562942	−	0.325015i
$5$	0.288156	+	1.07541i	0.128867	+	0.480940i	0.999948	−	0.0102004i	$-0.00324696\pi$
$5$	0.288156	+	1.07541i	0.128867	+	0.480940i	−0.871081	+	0.491140i	$0.836580\pi$
$6$	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	−0.720679	−	0.693269i	$-0.756170\pi$
$11$	−0.0909069	+	0.0909069i	−0.0274095	+	0.0274095i	0.693269	+	0.720679i	$0.256170\pi$
$12$	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	−0.882136	−	0.470994i	$-0.843895\pi$
$17$	−0.136785	+	0.236918i	−0.0331752	+	0.0574612i	0.848961	+	0.528455i	$0.177229\pi$
$18$	−3.02073	+	11.2735i	−0.711993	+	2.65720i
$19$	2.80666	−	2.80666i	0.643893	−	0.643893i	−0.307617	−	0.951510i	$-0.599532\pi$
$19$	2.80666	−	2.80666i	0.643893	−	0.643893i	0.951510	+	0.307617i	$0.0995317\pi$
$20$	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	−0.543760	−	0.839241i	$-0.683000\pi$
$23$	−0.426046	+	0.245978i	−0.0888367	+	0.0512899i	0.454924	+	0.890530i	$0.349667\pi$
$24$	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	0.0151718	+	0.999885i	$0.495170\pi$
$29$	−4.62230	+	8.00606i	−0.858340	+	1.48669i	−0.873512	+	0.486803i	$0.838163\pi$
$30$			6.20908i			1.13362i
$31$	−6.92046	−	1.85433i	−1.24295	−	0.333048i	−0.423341	−	0.905970i	$-0.639143\pi$
$31$	−6.92046	−	1.85433i	−1.24295	−	0.333048i	−0.819609	+	0.572923i	$0.805810\pi$
$32$	−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	0.561222	−	0.827665i	$-0.310331\pi$
$37$	3.85295	+	1.03240i	0.633422	+	0.169725i	0.0721998	+	0.997390i	$0.476998\pi$
$38$	−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	0.872049	+	0.489419i	$0.162791\pi$
$41$	2.31500	+	8.63969i	0.361542	+	1.34929i	−0.510507	+	0.859874i	$0.670542\pi$
$42$	5.83586	−	13.5520i	0.900492	−	2.09113i
$43$	8.44566	−	4.87610i	1.28795	−	0.743599i	0.309662	−	0.950847i	$-0.399784\pi$
$43$	8.44566	−	4.87610i	1.28795	−	0.743599i	0.978288	+	0.207248i	$0.0664506\pi$
$44$	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	−0.646805	−	0.762655i	$-0.723895\pi$
$47$	−5.66021	+	1.51665i	−0.825627	+	0.221226i	−0.178822	+	0.983881i	$0.557229\pi$
$48$	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	0.896343	−	0.443362i	$-0.146214\pi$
$53$	0.467445	+	0.809639i	0.0642086	+	0.111212i	−0.832134	+	0.554574i	$0.812881\pi$
$54$	−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	0.201389	−	0.979511i	$-0.435455\pi$
$59$	6.64843	−	1.78144i	0.865552	−	0.231924i	0.664163	+	0.747587i	$0.268788\pi$
$60$	4.29214	+	1.15007i	0.554112	+	0.148474i
$61$			7.78764i			0.997105i	0.866860	+	0.498552i	$0.166135\pi$
$61$			7.78764i			0.997105i	−0.866860	+	0.498552i	$0.833865\pi$
$62$	−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	0.652281	−	0.757977i	$-0.273812\pi$
$67$	−0.865162	−	0.865162i	−0.105696	−	0.105696i	−0.757977	+	0.652281i	$0.773812\pi$
$68$	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	−0.996901	−	0.0786713i	$-0.974932\pi$
$71$	−0.793943	+	2.96304i	−0.0942237	+	0.351648i	0.902677	+	0.430319i	$0.141599\pi$
$72$	−5.77646	+	5.77646i	−0.680763	+	0.680763i
$73$	0.0318328	−	0.118802i	0.00372575	−	0.0139047i	−0.964038	−	0.265765i	$-0.914376\pi$
$73$	0.0318328	−	0.118802i	0.00372575	−	0.0139047i	0.967764	+	0.251860i	$0.0810422\pi$
$74$	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	0.340067	+	0.940401i	$0.389550\pi$
$79$	−5.72736	+	9.92007i	−0.644378	+	1.11610i	−0.984445	+	0.175694i	$0.943783\pi$
$80$	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	−0.108308	−	0.994117i	$-0.534543\pi$
$83$	8.07011	−	8.07011i	0.885810	−	0.885810i	0.994117	+	0.108308i	$0.0345432\pi$
$84$	−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	−0.999372	−	0.0354314i	$-0.988719\pi$
$89$	−1.09599	+	4.09029i	−0.116175	+	0.433570i	0.883197	+	0.469002i	$0.155386\pi$
$90$	−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	0.135247	−	0.990812i	$-0.456817\pi$
$97$	−2.39359	−	0.641359i	−0.243032	−	0.0651202i	−0.378279	+	0.925692i	$0.623484\pi$
$98$	−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	−0.565021	−	0.825077i	$-0.691132\pi$
$103$	4.38460	−	7.59435i	0.432027	−	0.748293i	0.997048	+	0.0767837i	$0.0244651\pi$
$104$	−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	0.923833	−	0.382795i	$-0.125039\pi$
$107$	1.34893	+	2.33642i	0.130406	+	0.225870i	−0.793427	+	0.608665i	$0.791705\pi$
$108$	−6.83431	+	11.8374i	−0.657631	+	1.13905i
$109$	2.40526	−	8.97655i	0.230382	−	0.859798i	−0.749794	−	0.661671i	$-0.769848\pi$
$109$	2.40526	−	8.97655i	0.230382	−	0.859798i	0.980176	−	0.198127i	$-0.0634857\pi$
$110$	−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	0.772823	−	0.634622i	$-0.218844\pi$
$113$	−1.73470	−	3.00459i	−0.163187	−	0.282648i	−0.936010	+	0.351973i	$0.885511\pi$
$114$	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	0.431364	−	0.902178i	$-0.358033\pi$
$127$	−1.51307	−	0.873573i	−0.134264	−	0.0775171i	−0.565627	+	0.824661i	$0.691366\pi$
$128$	−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	0.257882	−	0.966176i	$-0.416975\pi$
$131$	−5.14945	−	2.97304i	−0.449909	−	0.259755i	−0.707792	+	0.706421i	$0.750309\pi$
$132$	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	−0.742647	−	0.669683i	$-0.766430\pi$
$137$	−5.08379	−	18.9730i	−0.434337	−	1.62097i	0.308309	−	0.951286i	$-0.400237\pi$
$138$	−2.65012	+	0.710096i	−0.225593	+	0.0604474i
$139$	−4.80542	+	2.77441i	−0.407590	+	0.235322i	−0.689754	−	0.724044i	$-0.742281\pi$
$139$	−4.80542	+	2.77441i	−0.407590	+	0.235322i	0.282164	+	0.959366i	$0.408948\pi$
$140$	−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	0.694515	−	0.719479i	$-0.255619\pi$
$149$	−0.304723	−	0.304723i	−0.0249638	−	0.0249638i	−0.719479	+	0.694515i	$0.755619\pi$
$150$	20.2572	−	5.42790i	1.65399	−	0.443186i
$151$	−3.42678	−	0.918204i	−0.278868	−	0.0747224i	0.116674	−	0.993170i	$-0.462777\pi$
$151$	−3.42678	−	0.918204i	−0.278868	−	0.0747224i	−0.395542	+	0.918448i	$0.629443\pi$
$152$		−	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	−0.364709	−	0.931122i	$-0.618832\pi$
$157$	3.24916	−	1.87590i	0.259311	−	0.149713i	0.624020	+	0.781408i	$0.285498\pi$
$158$	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	−0.495625	−	0.868537i	$-0.665061\pi$
$163$	4.76102	−	4.76102i	0.372912	−	0.372912i	0.868537	+	0.495625i	$0.165061\pi$
$164$	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	0.208894	−	0.977938i	$-0.433014\pi$
$167$	11.3562	−	3.04289i	0.878770	−	0.235466i	0.669876	+	0.742473i	$0.266347\pi$
$168$	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	$0.111668\pi$
$179$			9.19578i			0.687325i	−0.939093	+	0.343663i	$0.888332\pi$
$180$	−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	−0.696568	−	0.717491i	$-0.745291\pi$
$193$	0.290670	−	0.290670i	0.0209229	−	0.0209229i	0.717491	+	0.696568i	$0.245291\pi$
$194$	−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	0.491227	−	0.871032i	$-0.336549\pi$
$197$	18.9784	−	5.08526i	1.35216	−	0.362309i	0.860931	+	0.508722i	$0.169882\pi$
$198$	−0.750235	−	1.29945i	−0.0533169	−	0.0923476i
$199$	8.71102	−	15.0879i	0.617508	−	1.06956i	−0.372431	−	0.928060i	$-0.621476\pi$
$199$	8.71102	−	15.0879i	0.617508	−	1.06956i	0.989939	−	0.141495i	$-0.0451910\pi$
$200$	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	−0.469466	−	0.882951i	$-0.655554\pi$
$211$	7.69760	−	13.3326i	0.529925	−	0.917856i	0.999391	−	0.0349058i	$-0.0111131\pi$
$212$		−	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	−0.975588	−	0.219610i	$-0.929521\pi$
$223$	−3.59157	−	13.4039i	−0.240509	−	0.897592i	0.735079	−	0.677982i	$-0.237145\pi$
$224$	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	0.989389	+	0.145289i	$0.0464111\pi$
$227$	3.09161	+	11.5380i	0.205197	+	0.765807i	−0.784192	+	0.620518i	$0.786922\pi$
$228$	−4.10015	−	15.3020i	−0.271539	−	1.01340i
$229$	−23.7322	+	6.35901i	−1.56826	+	0.420215i	−0.935268	−	0.353939i	$-0.884842\pi$
$229$	−23.7322	+	6.35901i	−1.56826	+	0.420215i	−0.632997	+	0.774155i	$0.718175\pi$
$230$	−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	−0.0976486	−	0.995221i	$-0.531132\pi$
$233$	−15.3919	−	8.88654i	−1.00836	−	0.582177i	−0.910711	+	0.413044i	$0.864465\pi$
$234$	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	0.993999	+	0.109392i	$0.0348902\pi$
$239$	17.0580	+	17.0580i	1.10339	+	1.10339i	0.109392	+	0.993999i	$0.465110\pi$
$240$	11.8667	+	11.8667i	0.765992	+	0.765992i
$241$	10.0223	−	2.68547i	0.645594	−	0.172986i	0.0788579	−	0.996886i	$-0.474873\pi$
$241$	10.0223	−	2.68547i	0.645594	−	0.172986i	0.566736	+	0.823900i	$0.308206\pi$
$242$	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	0.973320	−	0.229451i	$-0.0736931\pi$
$251$	4.56198	+	7.90158i	0.287950	+	0.498743i	−0.685371	+	0.728194i	$0.740360\pi$
$252$	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	−0.727342	−	0.686276i	$-0.759244\pi$
$257$	−15.3580	−	26.6008i	−0.958003	−	1.65931i	−0.230661	−	0.973034i	$-0.574089\pi$
$258$	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	0.636958	−	0.770899i	$-0.280193\pi$
$269$	4.72057	+	2.72542i	0.287818	+	0.166172i	−0.349139	+	0.937071i	$0.613526\pi$
$270$		−	21.2644i		−	1.29411i
$271$	2.76799	−	10.3303i	0.168144	−	0.627521i	−0.829475	−	0.558544i	$-0.811360\pi$
$271$	2.76799	−	10.3303i	0.168144	−	0.627521i	0.997618	−	0.0689762i	$-0.0219733\pi$
$272$	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	0.976388	−	0.216023i	$-0.0693086\pi$
$277$	21.2619	+	12.2755i	1.27750	+	0.737566i	0.301113	+	0.953588i	$0.402642\pi$
$278$	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	−0.399543	−	0.916714i	$-0.630831\pi$
$281$	8.66937	−	8.66937i	0.517172	−	0.517172i	0.916714	+	0.399543i	$0.130831\pi$
$282$	−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	0.639493	+	0.768797i	$0.279144\pi$
$293$	−5.11331	+	19.0831i	−0.298723	+	1.11485i	−0.938215	+	0.346052i	$0.887522\pi$
$294$	−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	0.877717	−	0.479180i	$-0.159066\pi$
$307$	6.98294	+	6.98294i	0.398537	+	0.398537i	−0.479180	+	0.877717i	$0.659066\pi$
$308$	−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	−0.947761	−	0.318980i	$-0.896660\pi$
$311$	−13.2286	−	22.9126i	−0.750126	−	1.29926i	0.197636	−	0.980276i	$-0.436674\pi$
$312$	−10.7236	−	9.11549i	−0.607103	−	0.516063i
$313$	10.2371	+	5.91040i	0.578636	+	0.334076i	0.760591	−	0.649231i	$-0.224909\pi$
$313$	10.2371	+	5.91040i	0.578636	+	0.334076i	−0.181955	+	0.983307i	$0.558243\pi$
$314$	−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	−0.356538	−	0.934281i	$-0.616043\pi$
$317$	−3.52831	+	0.945407i	−0.198170	+	0.0530994i	0.158369	+	0.987380i	$0.449376\pi$
$318$	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	0.854387	−	0.519637i	$-0.173933\pi$
$331$	6.09024	+	6.09024i	0.334750	+	0.334750i	−0.519637	+	0.854387i	$0.673933\pi$
$332$	−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	$0.254708\pi$
$337$			26.3426i			1.43497i	−0.696572	+	0.717487i	$0.745292\pi$
$338$	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	−0.927607	−	0.373557i	$-0.878138\pi$
$347$	−2.61338	+	4.52651i	−0.140294	+	0.242996i	0.787314	+	0.616553i	$0.211471\pi$
$348$	18.4483	+	31.9534i	0.988932	+	1.71288i
$349$	11.2071	−	3.00292i	0.599900	−	0.160743i	0.0539262	−	0.998545i	$-0.482826\pi$
$349$	11.2071	−	3.00292i	0.599900	−	0.160743i	0.545974	+	0.837802i	$0.316160\pi$
$350$	−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	−0.525746	−	0.850641i	$-0.676214\pi$
$353$	6.10423	−	6.10423i	0.324895	−	0.324895i	0.850641	+	0.525746i	$0.176214\pi$
$354$	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	−0.765822	−	0.643053i	$-0.777668\pi$
$359$	−8.03606	−	29.9910i	−0.424127	−	1.58286i	0.341695	−	0.939811i	$-0.388999\pi$
$360$	−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	$0.0217773\pi$
$367$			2.61926i			0.136724i	−0.997661	+	0.0683622i	$0.978223\pi$
$368$	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	−0.780450	−	0.625219i	$-0.785010\pi$
$379$	−22.2660	+	5.96617i	−1.14373	+	0.306461i	−0.363280	+	0.931680i	$0.618343\pi$
$380$	−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	−0.902387	−	0.430926i	$-0.858187\pi$
$383$	−9.22669	+	9.22669i	−0.471462	+	0.471462i	0.430926	+	0.902387i	$0.358187\pi$
$384$	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	−0.933517	−	0.358533i	$-0.883277\pi$
$389$	−21.4938	+	12.4094i	−1.08978	+	0.629183i	−0.156260	+	0.987716i	$0.549944\pi$
$390$	−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	0.857615	−	0.514292i	$-0.171945\pi$
$397$	6.84066	+	6.84066i	0.343323	+	0.343323i	−0.514292	+	0.857615i	$0.671945\pi$
$398$	−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	0.423743	−	0.905783i	$-0.360716\pi$
$401$	6.76490	+	1.81265i	0.337823	+	0.0905194i	−0.0859195	+	0.996302i	$0.527383\pi$
$402$	−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	−0.992376	−	0.123245i	$-0.960670\pi$
$409$	−3.93505	−	14.6858i	−0.194576	−	0.726166i	0.797801	−	0.602921i	$-0.205997\pi$
$410$	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	−0.125612	−	0.992079i	$-0.540089\pi$
$419$	−21.4435	−	12.3804i	−1.04758	−	0.604823i	−0.921972	+	0.387257i	$0.873423\pi$
$420$	4.64985	−	10.7979i	0.226889	−	0.526883i
$421$	−4.11077	−	4.11077i	−0.200347	−	0.200347i	0.599802	−	0.800149i	$-0.295246\pi$
$421$	−4.11077	−	4.11077i	−0.200347	−	0.200347i	−0.800149	+	0.599802i	$0.795246\pi$
$422$	−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	0.296557	−	0.955015i	$-0.404161\pi$
$431$	−13.6699	−	13.6699i	−0.658458	−	0.658458i	−0.955015	+	0.296557i	$0.904161\pi$
$432$	−44.7064	+	25.8113i	−2.15094	+	1.24185i
$433$	−1.10640	−	1.91634i	−0.0531702	−	0.0920934i	0.838215	−	0.545339i	$-0.183599\pi$
$433$	−1.10640	−	1.91634i	−0.0531702	−	0.0920934i	−0.891385	+	0.453246i	$0.850266\pi$
$434$	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	0.940239	−	0.340516i	$-0.110602\pi$
$439$	3.67134	+	6.35896i	0.175224	+	0.303496i	−0.765015	+	0.644013i	$0.777268\pi$
$440$	−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	0.355683	+	0.934607i	$0.384248\pi$
$443$	−13.2926	+	23.0235i	−0.631552	+	1.09388i	−0.987235	+	0.159273i	$0.949085\pi$
$444$	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	−0.289881	−	0.957063i	$-0.593616\pi$
$449$	−21.6019	−	5.78821i	−1.01946	−	0.273163i	−0.729576	+	0.683900i	$0.760282\pi$
$450$	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	−0.950883	−	0.309550i	$-0.899822\pi$
$457$	0.585332	−	2.18449i	0.0273807	−	0.102186i	0.978264	+	0.207364i	$0.0664883\pi$
$458$			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	0.341807	−	0.939770i	$-0.388961\pi$
$461$	3.60574	+	0.966154i	0.167936	+	0.0449983i	−0.173871	+	0.984768i	$0.555628\pi$
$462$	0.701455	+	1.76249i	0.0326346	+	0.0819986i
$463$	−15.5412	+	15.5412i	−0.722262	+	0.722262i	−0.969066	−	0.246804i	$-0.920620\pi$
$463$	−15.5412	+	15.5412i	−0.722262	+	0.722262i	0.246804	+	0.969066i	$0.420620\pi$
$464$	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	−0.795766	−	0.605604i	$-0.792932\pi$
$467$	2.73553	−	4.73808i	0.126585	−	0.219252i	0.922351	+	0.386352i	$0.126265\pi$
$468$	−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	0.681027	−	0.732258i	$-0.261533\pi$
$479$	−1.12124	−	1.12124i	−0.0512305	−	0.0512305i	−0.732258	+	0.681027i	$0.761533\pi$
$480$	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	−0.427241	−	0.904138i	$-0.640514\pi$
$487$	−7.61733	+	2.04106i	−0.345174	+	0.0924891i	0.0820672	+	0.996627i	$0.473848\pi$
$488$	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	0.658965	−	0.752174i	$-0.270995\pi$
$491$	7.46842	+	4.31189i	0.337045	+	0.194593i	−0.321919	+	0.946767i	$0.604328\pi$
$492$	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	−0.584822	−	0.811161i	$-0.698836\pi$
$499$	−15.3177	+	4.10435i	−0.685712	+	0.183736i	−0.100890	+	0.994898i	$0.532169\pi$
$500$	−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	−0.897332	−	0.441356i	$-0.854498\pi$
$503$	−21.6152	+	12.4795i	−0.963773	+	0.556435i	−0.0664408	+	0.997790i	$0.521164\pi$
$504$	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	0.146100	−	0.989270i	$-0.453328\pi$
$509$	−5.00875	−	1.34209i	−0.222009	−	0.0594872i	−0.368109	+	0.929783i	$0.619995\pi$
$510$	−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	−0.755083	−	0.655629i	$-0.772404\pi$
$521$	−12.8926	+	7.44352i	−0.564833	+	0.326107i	0.190250	+	0.981736i	$0.439070\pi$
$522$	−76.2938	−	76.2938i	−3.33929	−	3.33929i
$523$	−15.9255	+	9.19458i	−0.696372	+	0.402051i	−0.805995	−	0.591923i	$-0.798369\pi$
$523$	−15.9255	+	9.19458i	−0.696372	+	0.402051i	0.109623	+	0.993973i	$0.465036\pi$
$524$	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	−0.946151	−	0.323726i	$-0.895064\pi$
$541$	−6.71321	−	25.0540i	−0.288623	−	1.07716i	0.657527	−	0.753431i	$-0.271602\pi$
$542$	−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	−0.554221	−	0.832370i	$-0.686984\pi$
$557$	6.56455	−	6.56455i	0.278149	−	0.278149i	0.832370	+	0.554221i	$0.186984\pi$
$558$	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	0.225186	+	0.974316i	$0.427701\pi$
$563$	−17.3494	+	30.0500i	−0.731189	+	1.26646i	−0.956375	+	0.292141i	$0.905632\pi$
$564$	−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	−0.921892	−	0.387446i	$-0.873357\pi$
$569$	−24.9820	+	14.4234i	−1.04730	+	0.604659i	−0.125408	+	0.992105i	$0.540024\pi$
$570$	17.4268	+	17.4268i	0.729928	+	0.729928i
$571$	21.3819	−	12.3448i	0.894804	−	0.516615i	0.0192930	−	0.999814i	$-0.493858\pi$
$571$	21.3819	−	12.3448i	0.894804	−	0.516615i	0.875511	+	0.483199i	$0.160525\pi$
$572$	−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	0.183225	−	0.983071i	$-0.441346\pi$
$577$	−3.59432	−	0.963094i	−0.149633	−	0.0400941i	−0.332858	+	0.942977i	$0.608013\pi$
$578$	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	−0.995056	−	0.0993189i	$-0.968334\pi$
$587$	−4.43305	−	16.5444i	−0.182972	−	0.682859i	0.812084	−	0.583540i	$-0.198333\pi$
$588$	−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	−0.641292	−	0.767297i	$-0.721601\pi$
$593$	−19.7983	+	5.30494i	−0.813019	+	0.217848i	−0.171727	+	0.985145i	$0.554935\pi$
$594$	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	0.919946	+	0.392045i	$0.128232\pi$
$599$	19.5672	+	33.8914i	0.799494	+	1.38476i	−0.120452	+	0.992719i	$0.538434\pi$
$600$	14.1788	+	3.79920i	0.578848	+	0.155102i
$601$	29.2750	+	16.9020i	1.19415	+	0.689445i	0.959246	−	0.282573i	$-0.0911878\pi$
$601$	29.2750	+	16.9020i	1.19415	+	0.689445i	0.234908	+	0.972018i	$0.424521\pi$
$602$	−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	$-0.800322\pi$
$607$		−	28.9227i		−	1.17394i	0.809610	−	0.586968i	$-0.199678\pi$
$608$	−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	0.394359	−	0.918957i	$-0.370967\pi$
$613$	−12.9884	−	12.9884i	−0.524598	−	0.524598i	−0.918957	+	0.394359i	$0.870967\pi$
$614$	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	−0.999882	−	0.0153601i	$-0.995111\pi$
$617$	−3.13670	+	11.7063i	−0.126279	+	0.471279i	0.873603	+	0.486639i	$0.161777\pi$
$618$	34.5812	−	34.5812i	1.39106	−	1.39106i
$619$	6.26859	−	23.3947i	0.251956	−	0.940312i	−0.717803	−	0.696246i	$-0.754852\pi$
$619$	6.26859	−	23.3947i	0.251956	−	0.940312i	0.969759	−	0.244065i	$-0.0784811\pi$
$620$	−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	0.109191	−	0.994021i	$-0.465174\pi$
$631$	−7.36652	−	1.97385i	−0.293256	−	0.0785778i	−0.402448	+	0.915443i	$0.631841\pi$
$632$	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	0.879435	−	0.476019i	$-0.157921\pi$
$641$	22.9611	+	13.2566i	0.906908	+	0.523603i	0.0274727	+	0.999623i	$0.491254\pi$
$642$	3.89414	+	14.5331i	0.153689	+	0.573577i
$643$	−11.1885	−	2.99795i	−0.441231	−	0.118228i	0.0313623	−	0.999508i	$-0.490015\pi$
$643$	−11.1885	−	2.99795i	−0.441231	−	0.118228i	−0.472593	+	0.881281i	$0.656682\pi$
$644$	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	−0.999941	−	0.0108435i	$-0.996548\pi$
$653$	−13.0162	−	22.5446i	−0.509361	−	0.882240i	0.490580	−	0.871396i	$-0.336785\pi$
$654$	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	0.704328	+	0.709874i	$0.251248\pi$
$659$	24.8221	+	42.9932i	0.966933	+	1.67478i	0.262605	+	0.964903i	$0.415418\pi$
$660$	−0.494734	+	0.285635i	−0.0192575	+	0.0111183i
$661$	−8.57180	−	8.57180i	−0.333404	−	0.333404i	0.520474	−	0.853878i	$-0.325755\pi$
$661$	−8.57180	−	8.57180i	−0.333404	−	0.333404i	−0.853878	+	0.520474i	$0.825755\pi$
$662$	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	0.986374	−	0.164519i	$-0.0526070\pi$
$673$	34.6870	+	20.0265i	1.33708	+	0.771966i	0.350710	+	0.936484i	$0.385940\pi$
$674$	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	0.977190	−	0.212369i	$-0.0681179\pi$
$677$	33.3532	+	19.2565i	1.28187	+	0.740086i	0.304678	+	0.952455i	$0.401451\pi$
$678$	−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	−0.849328	−	0.527865i	$-0.822993\pi$
$683$	−9.87146	−	36.8408i	−0.377721	−	1.40967i	0.471607	−	0.881809i	$-0.343674\pi$
$684$	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	0.365489	−	0.930816i	$-0.380902\pi$
$691$	5.69382	+	1.52565i	0.216603	+	0.0580386i	−0.148886	+	0.988854i	$0.547569\pi$
$692$	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	$-0.729954\pi$
$701$		−	39.7256i		−	1.50041i	0.661203	−	0.750207i	$-0.270046\pi$
$702$	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	−0.701444	−	0.712725i	$-0.747461\pi$
$709$	0.300391	−	0.300391i	0.0112814	−	0.0112814i	0.712725	+	0.701444i	$0.247461\pi$
$710$	−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	0.947016	+	0.321187i	$0.104082\pi$
$733$	7.78294	+	29.0463i	0.287469	+	1.07285i	−0.659547	+	0.751664i	$0.729252\pi$
$734$	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	0.204113	−	0.978947i	$-0.434569\pi$
$739$	32.1610	−	32.1610i	1.18306	−	1.18306i	0.978947	−	0.204113i	$-0.0654310\pi$
$740$	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	−0.942687	−	0.333678i	$-0.891710\pi$
$743$	−43.4013	+	11.6293i	−1.59224	+	0.426639i	−0.649552	+	0.760317i	$0.725044\pi$
$744$	−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	−0.741244	−	0.671236i	$-0.765764\pi$
$751$	−14.5396	+	8.39446i	−0.530559	+	0.306318i	0.210685	+	0.977554i	$0.432430\pi$
$752$	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	−0.689736	−	0.724061i	$-0.742273\pi$
$757$	7.76400	−	13.4476i	0.282187	−	0.488763i	0.971923	+	0.235298i	$0.0756067\pi$
$758$			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	−0.999620	−	0.0275603i	$-0.991226\pi$
$761$	−28.3360	−	28.3360i	−1.02718	−	1.02718i	−0.0275603	−	0.999620i	$-0.508774\pi$
$762$	−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	0.693807	+	0.720161i	$0.255932\pi$
$769$	12.5630	+	46.8857i	0.453033	+	1.69074i	−0.240774	+	0.970581i	$0.577401\pi$
$770$	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	−0.733424	−	0.679772i	$-0.762079\pi$
$773$	−12.1817	−	45.4628i	−0.438146	−	1.63518i	0.295278	−	0.955411i	$-0.404588\pi$
$774$	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	0.252984	−	0.967470i	$-0.418588\pi$
$787$	26.8138	−	7.18474i	0.955810	−	0.256108i	0.702826	+	0.711362i	$0.251921\pi$
$788$	−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	0.998969	−	0.0453891i	$-0.0144528\pi$
$797$	12.9913	+	22.5016i	0.460177	+	0.797049i	−0.538793	+	0.842438i	$0.681119\pi$
$798$	−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	−0.0988731	−	0.995100i	$-0.531524\pi$
$811$	25.5228	−	25.5228i	0.896227	−	0.896227i	0.995100	+	0.0988731i	$0.0315238\pi$
$812$	−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	0.301552	+	0.953450i	$0.402495\pi$
$821$	−12.5021	+	46.6583i	−0.436325	+	1.62839i	−0.737876	+	0.674936i	$0.764171\pi$
$822$		−	109.544i		−	3.82077i
$823$	−18.6307	−	10.7564i	−0.649424	−	0.374945i	0.138812	−	0.990319i	$-0.455672\pi$
$823$	−18.6307	−	10.7564i	−0.649424	−	0.374945i	−0.788235	+	0.615374i	$0.789005\pi$
$824$	−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	−0.958223	−	0.286023i	$-0.907667\pi$
$827$	−19.3309	+	19.3309i	−0.672200	+	0.672200i	0.286023	+	0.958223i	$0.407667\pi$
$828$	−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	−0.962967	−	0.269621i	$-0.913102\pi$
$839$	0.167923	−	0.626698i	0.00579736	−	0.0216360i	0.968764	+	0.247985i	$0.0797683\pi$
$840$	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	0.957474	−	0.288521i	$-0.0931635\pi$
$853$	19.5375	+	19.5375i	0.668953	+	0.668953i	−0.288521	+	0.957474i	$0.593163\pi$
$854$	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	−0.998151	−	0.0607851i	$-0.980640\pi$
$857$	−16.1513	−	27.9748i	−0.551717	−	0.955602i	0.446434	−	0.894817i	$-0.352694\pi$
$858$	2.12702	−	1.46920i	0.0726154	−	0.0501577i
$859$	25.7564	+	14.8704i	0.878796	+	0.507373i	0.870261	−	0.492591i	$-0.163950\pi$
$859$	25.7564	+	14.8704i	0.878796	+	0.507373i	0.00853452	+	0.999964i	$0.497283\pi$
$860$	−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	−0.740175	−	0.672414i	$-0.765257\pi$
$863$	−30.6982	+	8.22555i	−1.04498	+	0.280001i	−0.304803	+	0.952415i	$0.598591\pi$
$864$	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	0.874415	−	0.485179i	$-0.161246\pi$
$877$	11.5269	+	11.5269i	0.389236	+	0.389236i	−0.485179	+	0.874415i	$0.661246\pi$
$878$	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	−0.0684801	−	0.997652i	$-0.521815\pi$
$881$	24.6284	−	42.6577i	0.829752	−	1.43717i	0.898232	−	0.439521i	$-0.144852\pi$
$882$	42.8038	−	69.5879i	1.44128	−	2.34315i
$883$			40.1403i			1.35083i	0.737439	+	0.675414i	$0.236035\pi$
$883$			40.1403i			1.35083i	−0.737439	+	0.675414i	$0.763965\pi$
$884$	−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	0.310221	−	0.950664i	$-0.399597\pi$
$887$	38.3787	−	22.1580i	1.28863	−	0.743992i	0.978410	+	0.206673i	$0.0662635\pi$
$888$	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	$0.355809\pi$
$907$			54.1580i			1.79829i	−0.437654	+	0.899143i	$0.644191\pi$
$908$	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	−0.263437	−	0.964677i	$-0.584856\pi$
$929$	21.3734	−	21.3734i	0.701239	−	0.701239i	0.964677	+	0.263437i	$0.0848562\pi$
$930$	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	$-0.842640\pi$
$937$		−	29.0475i		−	0.948939i	0.880272	−	0.474470i	$-0.157360\pi$
$938$	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	0.964929	−	0.262510i	$-0.0845503\pi$
$941$	51.2078	+	13.7211i	1.66933	+	0.447295i	0.704398	+	0.709805i	$0.251217\pi$
$942$	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	−0.410774	−	0.911737i	$-0.634741\pi$
$947$	−37.6168	−	10.0794i	−1.22238	−	0.327536i	−0.811609	+	0.584201i	$0.801408\pi$
$948$	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	−0.532222	−	0.846605i	$-0.678643\pi$
$953$	−2.01127	+	1.16121i	−0.0651515	+	0.0376153i	0.467070	+	0.884220i	$0.345309\pi$
$954$	−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	0.284206	−	0.958763i	$-0.408270\pi$
$967$	−20.9764	−	20.9764i	−0.674557	−	0.674557i	−0.958763	+	0.284206i	$0.908270\pi$
$968$	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	$0.233665\pi$
$971$			41.7496i			1.33981i	−0.742448	+	0.669904i	$0.766335\pi$
$972$	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	0.759828	−	0.650124i	$-0.225283\pi$
$977$	3.42899	+	3.42899i	0.109703	+	0.109703i	−0.650124	+	0.759828i	$0.725283\pi$
$978$	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	−0.981262	−	0.192676i	$-0.938283\pi$
$983$	−1.10131	+	4.11013i	−0.0351262	+	0.131093i	0.946136	+	0.323769i	$0.104950\pi$
$984$	−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	0.626702	−	0.779259i	$-0.284404\pi$
$997$	8.37363	+	4.83452i	0.265195	+	0.153111i	−0.361507	+	0.932369i	$0.617738\pi$
$998$			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.33.6	✓	28
3.2	odd	2		819.2.gh.b.397.2		28
7.2	even	3		637.2.bd.a.293.2		28
7.3	odd	6		91.2.ba.a.59.6	yes	28
7.4	even	3		637.2.bb.a.423.6		28
7.5	odd	6		637.2.bd.b.293.2		28
7.6	odd	2		637.2.x.a.215.6		28
13.2	odd	12		91.2.ba.a.54.6	yes	28
21.17	even	6		819.2.et.b.514.2		28
39.2	even	12		819.2.et.b.145.2		28
91.2	odd	12		637.2.bd.b.587.2		28
91.41	even	12		637.2.bb.a.509.6		28
91.54	even	12		637.2.bd.a.587.2		28
91.67	odd	12		637.2.x.a.80.6		28
91.80	even	12	inner	91.2.w.a.80.6	yes	28
273.80	odd	12		819.2.gh.b.262.2		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.6	✓	28	1.1	even	1	trivial
91.2.w.a.80.6	yes	28	91.80	even	12	inner
91.2.ba.a.54.6	yes	28	13.2	odd	12
91.2.ba.a.59.6	yes	28	7.3	odd	6
637.2.x.a.80.6		28	91.67	odd	12
637.2.x.a.215.6		28	7.6	odd	2
637.2.bb.a.423.6		28	7.4	even	3
637.2.bb.a.509.6		28	91.41	even	12
637.2.bd.a.293.2		28	7.2	even	3
637.2.bd.a.587.2		28	91.54	even	12
637.2.bd.b.293.2		28	7.5	odd	6
637.2.bd.b.587.2		28	91.2	odd	12
819.2.et.b.145.2		28	39.2	even	12
819.2.et.b.514.2		28	21.17	even	6
819.2.gh.b.262.2		28	273.80	odd	12
819.2.gh.b.397.2		28	3.2	odd	2

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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